diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ebef140a31ca057554a1be1b5fff303bec52f169
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/1iALlntDErE.srt
@@ -0,0 +1,2059 @@
+1
+00:00:10,020 --> 00:00:15,260
+زي ما حكينا آخر حاجة أخدناها هو هذا المثال و في
+
+2
+00:00:15,260 --> 00:00:18,980
+مثال فيه سؤال بس عشان كده أنا بدي أبدأ فيه في سؤال
+
+3
+00:00:18,980 --> 00:00:24,040
+27 في الكتاب حاكي لو في طائرة هليكوبتر طول الريشة
+
+4
+00:00:24,040 --> 00:00:29,350
+تبعتها 3 متر بتتحرك أو بتلف بـ 20 revolution per
+
+5
+00:00:29,350 --> 00:00:32,870
+second بتعمل عشان دورة في الثانية طبعًا عشان دورة
+
+6
+00:00:32,870 --> 00:00:36,610
+في الثانية كتيرة يعني فيه سرعة واعتبر بيه بتسوي
+
+7
+00:00:36,610 --> 00:00:40,310
+نصف جاوس طبعًا احنا بيه اتفقنا عليها ممكن تكون أقل
+
+8
+00:00:40,310 --> 00:00:44,760
+من كده كبير كتير بيه بتتفاوت تبقى تتكون أرضية بتكون
+
+9
+00:00:44,760 --> 00:00:48,600
+أكبر ما يكون عند الأقطاب شباب لإن هي زي المغناطيس
+
+10
+00:00:48,600 --> 00:00:51,500
+عند القطب بتكون أكثر ما يكون و أقل ما يكون بتكون
+
+11
+00:00:51,500 --> 00:00:56,360
+عند خاطر السائق فبتتراوح بين 0.2 و 0.6 هنا فهو في
+
+12
+00:00:56,360 --> 00:00:59,020
+هذا المثال قال اعتبرها 0.5 فأنا ما أعرفش في غزة
+
+13
+00:00:59,020 --> 00:01:03,740
+بالضبط قد ايش ممكن تكون بس ممكن تكون 0.4 تقريبًا لكن 
+
+14
+00:01:03,740 --> 00:01:07,840
+بدأ حسابات أما رجعتش للأرقام دلوقتي لو هذه P كانت
+
+15
+00:01:07,840 --> 00:01:13,540
+نصف جاوس يعني خمسين مايكرو تسلا وهذه Omega عبارة عن
+
+16
+00:01:13,540 --> 00:01:18,300
+عشرين evaluation per second وهذه L عبارة عن ثلاثة
+
+17
+00:01:18,300 --> 00:01:21,640
+متر لو حسبت.. بقول هناك في السؤال سبعة وعشرين
+
+18
+00:01:21,640 --> 00:01:24,840
+حسبلي فرخ الجوات بين طرفي الريشة تبعت الهليكوبتر
+
+19
+00:01:24,840 --> 00:01:31,180
+فطلعت حوالي 0.0028 volt
+
+20
+00:01:35,640 --> 00:01:39,280
+الواحد لو مسكها بالكهرباء إذا الواحد ونصف فولت مش
+
+21
+00:01:39,280 --> 00:01:46,660
+خطيرة فكيفها دي؟ فحكينا أنه من الشغلات اللي معروفة
+
+22
+00:01:46,660 --> 00:01:51,260
+أنه المجال المغناطيسي تبع الأرضية برغم وجوده
+
+23
+00:01:51,260 --> 00:01:55,180
+لكن وجوده ما يعملش الخطورة وما يعملش الخطورة اللي
+
+24
+00:01:55,180 --> 00:02:00,340
+ممكن تنوجد في أي حاجة طبيعية إذا كان طائرة ولا أي
+
+25
+00:02:00,340 --> 00:02:03,560
+حاجة ثانية المجال المغناطيسي يعتبر صغير وبالتالي 
+
+26
+00:02:03,560 --> 00:02:09,650
+تأثيره بيكون قليل جدًا تمامًا طبعًا لحد الآن مصدر المجال
+
+27
+00:02:09,650 --> 00:02:13,210
+المغناطيسي عليه كلام لحد الآن يعتبر شوية من الآثار
+
+28
+00:02:13,210 --> 00:02:16,570
+العلمية المجادرين بالضبط يفسروا ايش مصدر المجال
+
+29
+00:02:16,570 --> 00:02:20,530
+المغناطيسي لحد الآن في تفسيرات كثيرة وفي تفسير
+
+30
+00:02:20,530 --> 00:02:24,430
+برغم تفسير ما فيش تفسير منطقي ايش أوجد هذا المجال
+
+31
+00:02:24,430 --> 00:02:29,150
+المغناطيسي بأقوال عرضية نفت الأثر على المواد
+
+32
+00:02:29,150 --> 00:02:33,710
+المغناطيسية؟ أي مواد مثلًا مثلًا كانت plastic كانت
+
+33
+00:02:33,710 --> 00:02:36,510
+plastic طبعًا شوف كل المواد حطها في مجال مغناطيسي
+
+34
+00:02:36,510 --> 00:02:39,890
+بتتأثر بطريقة أو بأخرى لكن المشكلة المواد احنا في
+
+35
+00:02:39,890 --> 00:02:42,130
+الشرط اللي جابله في الشغلات اللي احنا جبناها لأنه
+
+36
+00:02:42,130 --> 00:02:45,130
+مش معنين فيها كيف بيصنف المواد إلى بره magnetic,
+
+37
+00:02:45,210 --> 00:02:49,640
+diamagnetic و ferromagnetic بطبيعة المادة حسب ايش
+
+38
+00:02:49,640 --> 00:02:54,780
+تصنف طبعًا تصنف كده إلها دعوة بالـ Mu و بالإبسلون
+
+39
+00:02:54,780 --> 00:02:58,060
+في حاجة مسمية susceptibility احنا ما لناش دعوة فيها
+
+40
+00:02:58,060 --> 00:03:03,300
+فحسب طبيعة المادة كيف تصنف مغناطيسيًا بالتالي كيف
+
+41
+00:03:03,300 --> 00:03:06,960
+تتأثر بالمجال المغناطيسي كل مادة ممكن تتأثر
+
+42
+00:03:06,960 --> 00:03:11,720
+بالمجال المغناطيسي بدرجات أو بأخرى حسب تركيبتها طب
+
+43
+00:03:11,720 --> 00:03:15,100
+لو عملنا مثلًا جهاز مثل الجلم اللي فيه ده خلينا
+
+44
+00:03:15,100 --> 00:03:15,640
+نصرف شوية
+
+45
+00:03:19,450 --> 00:03:23,110
+يعني بتدي الجلم هذا.. اتحكوا فيه وجيبوا الجلم
+
+46
+00:03:23,110 --> 00:03:27,760
+يعني.. ممكن نعمل مجال.. طبعًا.. خلّيني أقول 
+
+47
+00:03:27,760 --> 00:03:30,940
+نظريًا ممكن لكن يمكن بداك مجال مغناطيسي قوي جدًا..
+
+48
+00:03:30,940 --> 00:03:33,620
+نهيان النقطة.. نهيان النقطة بترجع.. يعني دائمًا
+
+49
+00:03:33,620 --> 00:03:36,760
+الشغلات النظرية زيها عما نحكي الـ super conductors
+
+50
+00:03:36,760 --> 00:03:39,860
+.. نظرية حلوة.. super conductor.. بس ايش اللي 
+
+51
+00:03:39,860 --> 00:03:42,620
+بيجيبه.. بداك درجة حرارة مخالفة جدًا.. هاي اتنين
+
+52
+00:03:42,620 --> 00:03:45,240
+يجيش يجيبها.. طب ماهي بتكلف نكت ولا مالي يجيب
+
+53
+00:03:45,240 --> 00:03:48,120
+الحاس.. خلاص مالي يجيب الحاس مخلص.. فبالآخر
+
+54
+00:03:48,120 --> 00:03:51,800
+نظريًا أه.. بس بداك مجال مغناطيسي قوي جدًا عشان
+
+55
+00:03:51,800 --> 00:03:52,280
+يأثر عليها
+
+56
+00:03:56,250 --> 00:03:58,830
+حديث Ferromagnetic Material اللي هو طول بتتأثر وكمان 
+
+57
+00:03:58,830 --> 00:04:00,810
+ميزة أكثر جيب من المجال المغناطيسي اللي أنتَ
+
+58
+00:04:00,810 --> 00:04:03,990
+جبته وتعبت عنه بتبقى موجودة غير أنها بتتفقد
+
+59
+00:04:03,990 --> 00:04:07,310
+فالشغلات النظرية موجودة وعشان كده بيه قيمتها
+
+60
+00:04:07,310 --> 00:04:13,090
+محدودة واحنا حكينا تسلا شغل كبيرة كبكدار تمر الآن
+
+61
+00:04:13,090 --> 00:04:17,790
+شباب احنا اتفقنا في faraday قال في faraday أنه
+
+62
+00:04:17,790 --> 00:04:20,630
+في عندي emf بساوي سالب
+
+63
+00:04:24,040 --> 00:04:29,980
+مغناطيس طبعًا على دي تيك هذه قانون فرضا هذه انحطت
+
+64
+00:04:29,980 --> 00:04:33,540
+عشان الـ conservation of energy وكنا فلتوها على 
+
+65
+00:04:33,540 --> 00:04:39,020
+لينزي يفسّرها فبعا هذا فرق جهد شباب صح ولا لأ هذا
+
+66
+00:04:39,020 --> 00:04:42,880
+فرق جهد لما أنا احط هنا سالب أو موجب ايش بيفرق
+
+67
+00:04:42,880 --> 00:04:46,980
+موجب عن سالب؟ معاكس.. اتجاه.. أنه أنا لما أقول
+
+68
+00:04:46,980 --> 00:04:51,400
+هذه نفترض أنه va ناقص vb هذي تلاقي زائد أو ناقص 
+
+69
+00:04:51,400 --> 00:04:55,460
+إذا زائد هذي أعلى من هذي إذا ناقص هذي أعلى من هذي
+
+70
+00:04:55,460 --> 00:04:58,880
+مظبوط ولا لا؟ إذا أن الشرط السالب هنا بتقنى من
+
+71
+00:04:58,880 --> 00:05:01,980
+أعلى من الثاني وبالتالي اتجاه التيار بنعكس لما
+
+72
+00:05:01,980 --> 00:05:05,260
+تكون هذه العالية موقع التيار بيجي من العالي للواطي
+
+73
+00:05:05,260 --> 00:05:07,960
+لما تكون هذه العالية موقع التيار بيجي من بيه لإيه؟
+
+74
+00:05:07,960 --> 00:05:12,030
+إذا الحكاية السالب اللي وجدت هنا عشان تديني في
+
+75
+00:05:12,030 --> 00:05:17,720
+معاكسة لثلاث مجبع طيب الشغل الثاني بيقولي طب هادي في 
+
+76
+00:05:17,720 --> 00:05:21,100
+عندك حالين هذه الـ flux عشان تطلع لها قيمة لازم 
+
+77
+00:05:21,100 --> 00:05:24,040
+تكون متغيرة ومش مش لازم تكون متغيرة لو هذه الـ flux
+
+78
+00:05:24,040 --> 00:05:27,980
+ثابتة وفضلتها بالنسبة للزمن بيطلع قيمة لأ إذا عشان
+
+79
+00:05:27,980 --> 00:05:32,180
+يطلع حاجة لازم هذه تكون متغيرة صحيح؟ هذا فرضاي
+
+80
+00:05:32,180 --> 00:05:35,860
+بيقول عشان يكون في عندك induced emf لازم الـ flux
+
+81
+00:05:35,860 --> 00:05:40,160
+تكون متغيرة بالنسبة للزمن حلو طب كيف تتغير؟ في
+
+82
+00:05:40,160 --> 00:05:43,960
+عندي فش إلا احتمالين لا بتزيد لا بتنقص صح ولا لأ؟
+
+83
+00:05:44,130 --> 00:05:48,130
+في أما التغير بالزيادة أو التغير بالنقصان فهي
+
+84
+00:05:48,130 --> 00:05:51,790
+الاحتمالين اللي موجودين لا ثابتة لا بتزيد لا بتنقص
+
+85
+00:05:51,790 --> 00:05:57,710
+ثابتة سفر بتزيد في في في تغير في الـ flux وبالتالي
+
+86
+00:05:57,710 --> 00:06:03,250
+في induced emf بتنقص برضه في induced emf جالي الآن
+
+87
+00:06:03,250 --> 00:06:09,530
+لو هذه بتزيد تفاضل الزيادة موجب صح لو بتنقص تفاضل
+
+88
+00:06:09,530 --> 00:06:16,860
+النقصان ايش سالب لأن هذه زيادة وهذه النقصة تفاضلها
+
+89
+00:06:16,860 --> 00:06:24,020
+موجب وهذه تفاضلها سالب لو بتنقص شباب بيجيني سالب
+
+90
+00:06:24,020 --> 00:06:28,780
+وفيه سالب صار موجب بطل في معاكسة لو بتزيد يكون
+
+91
+00:06:28,780 --> 00:06:34,200
+القانون عبارة عن المعاكسة فماذا يقول لينز لو؟
+
+92
+00:06:34,200 --> 00:06:37,340
+يقول it tells us that the induced current
+
+93
+00:06:42,240 --> 00:06:52,060
+يجب أن يكون في اتجاه يجعل المجال
+
+94
+00:06:52,060 --> 00:06:56,710
+المغناطيسي برضه بيولج مجال مغناطيسي هاجم التيار إجا من
+
+95
+00:06:56,710 --> 00:07:00,310
+مجال مغناطيسي وهو نفسه بيولج مجال مغناطيسي صار في
+
+96
+00:07:00,310 --> 00:07:04,610
+عندي مجالين المجال الأصلي والمجال المستحث بيكونوا
+
+97
+00:07:04,610 --> 00:07:07,990
+إما معاقد أو عكس بعيد بيقول لي it produces a
+
+98
+00:07:07,990 --> 00:07:11,550
+magnetic field to oppose the change in the
+
+99
+00:07:11,550 --> 00:07:17,230
+magnetic flux لازم يطلقلي تيار يعاكس التغير التغير
+
+100
+00:07:17,230 --> 00:07:21,780
+حالتين القوة النارية يمكن تفسير باستخدام اتصالات
+
+101
+00:07:21,780 --> 00:07:23,040
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+102
+00:07:23,040 --> 00:07:28,600
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+103
+00:07:28,600 --> 00:07:33,280
+اتصالات اتصالات اتصالات
+
+104
+00:07:33,280 --> 00:07:34,180
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+105
+00:07:34,180 --> 00:07:34,580
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+106
+00:07:34,580 --> 00:07:43,220
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+107
+00:07:43,220 --> 00:07:46,120
+اتصالات
+
+108
+00:07:46,300 --> 00:07:50,340
+الـ Magnetic field الأصلي اتجاهه بحيث يولد مجال
+
+109
+00:07:50,340 --> 00:07:56,200
+مغناطيسي عكس الأصلي طيب وإذا كان الـ magnetic flux
+
+110
+00:07:56,200 --> 00:07:59,140
+decreasing if the magnetic flux through the loop
+
+111
+00:07:59,140 --> 00:08:04,300
+is decreasing decreasing هي سالب منها وفي سالب صار
+
+112
+00:08:04,300 --> 00:08:08,540
+موجب بطل في معاكسة في نفس الـ direction الطريقة التي
+
+113
+00:08:08,540 --> 00:08:13,780
+يتم استخدامها هي تجعلها تنتج مجموعة مغناطيسية في نفس
+
+114
+00:08:13,780 --> 00:08:18,340
+الطريقة التي هي مصدر المجموعة المغناطيسية نيجي
+
+115
+00:08:18,340 --> 00:08:23,960
+نشرحها أكثر بالتطبيقات هدول هدا هما نبدأ قال لي هذا
+
+116
+00:08:23,960 --> 00:08:30,080
+قال لي هذا مغناطيس هذا north الـ north لما يقول لي
+
+117
+00:08:30,080 --> 00:08:35,040
+هذا هيك بتتحرك الـ reflux بيزيد ولا بينقص؟ بيزيد مازال
+
+118
+00:08:35,040 --> 00:08:39,100
+بيزيد في معاكسة معاكسة بين مين ومين بقولي معاكسة
+
+119
+00:08:39,100 --> 00:08:42,760
+بين المجال الأصلي والمجال اللي بيجي والده التيار
+
+120
+00:08:42,760 --> 00:08:46,120
+المستحث اللي أنتَ مدور عليه وايه المجال الأصلي؟
+
+121
+00:08:46,120 --> 00:08:49,520
+هو المجال الأصلي مين جابه؟ مشهده؟ مشهده North؟ هاي 
+
+122
+00:08:49,520 --> 00:08:53,580
+اتجاه المجال الأصلي قال لي معاكسة الأصلي هيك 
+
+123
+00:08:53,580 --> 00:08:57,940
+المعاكسة بتعني هيك حط إبهامك عكس الخطوط الزرق و
+
+124
+00:08:57,940 --> 00:09:04,740
+شوف كيف التيار هيك ولا لأ هاي التيار بيجي السلك هيو
+
+125
+00:09:04,740 --> 00:09:09,860
+من تحت وبيطلع هيك هاي تيار المستحث هذا التيار
+
+126
+00:09:09,860 --> 00:09:15,620
+المستحث بيولد مجال بهذا الشكل عكس هذا عكس الأصلي
+
+127
+00:09:15,620 --> 00:09:22,900
+ثم نيجي لهذا هذا الآن بيقول لك هذا مروح مبعد يعني 
+
+128
+00:09:22,900 --> 00:09:26,460
+ايش الـ flux بيزيد ولا بينقص؟ بينقص يعني بيكون
+
+129
+00:09:26,460 --> 00:09:30,540
+الأصلي والمستحث مع بعض اللي هو أصلي كيف هيك خلي
+
+130
+00:09:30,540 --> 00:09:35,810
+إبهامك معاه إذا كيف اختيارك بيكون هيك؟ أيوة مع أصابع 
+
+131
+00:09:35,810 --> 00:09:39,770
+الأربعة مع أصابع الأربعة بيديمش التيار هيك فهي
+
+132
+00:09:39,770 --> 00:09:47,430
+التيار المستحث ادم يجيب كمان مثال هل بيقول لي هذا
+
+133
+00:09:47,430 --> 00:09:53,070
+بيبعد يعني بينقص يعني مع بعد بس كلها دي South هيك
+
+134
+00:09:53,070 --> 00:09:57,610
+خذ اصلاحك معاه لإن هو قاعد مع بعد هذا هو بيكون هيك
+
+135
+00:09:59,030 --> 00:10:04,110
+هذا بيزيد إذا معناته معاكسة هذا هيك بيضع أصبعي
+
+136
+00:10:04,110 --> 00:10:08,870
+عكسه فبيدوا يكونوا تيار هيك فهذه قاعدة lenz طيب
+
+137
+00:10:08,870 --> 00:10:15,470
+نيجي للمثال السابق اللي أنا خليني أرجع له برضه على
+
+138
+00:10:15,470 --> 00:10:20,870
+قاعدة lenz اللي هو هذا ذاكرين
+
+139
+00:10:20,870 --> 00:10:27,070
+هذا؟ هجيت هذا وهو ماشي هيك بيزيد ولا بينقص وهو
+
+140
+00:10:27,070 --> 00:10:31,740
+ماشي هيك الـ flux بيزيد ولا بينقص وهو ماشي هيك، ماشي
+
+141
+00:10:31,740 --> 00:10:36,280
+المساحة بيزيد، إذا الـ flux بيزيد، وهو ماشي هيك
+
+142
+00:10:36,280 --> 00:10:40,360
+بينقل، حياته هو ماشي هيك بيزيد، الـ lenz ايش بيقول
+
+143
+00:10:40,360 --> 00:10:45,320
+ايه؟ مع ولا عكس؟ عكس، الأصلي وين؟ كيف تجاه الأصلي
+
+144
+00:10:45,320 --> 00:10:48,960
+انتوا إذا أنا عكسها تبقى بها من وين بتودي دي كيف
+
+145
+00:10:48,960 --> 00:10:52,860
+التيار بيكون مع عقارب الساعة ولا ضد عكس عقارب
+
+146
+00:10:52,860 --> 00:10:55,660
+الساعة high lenz واحنا لما عملنا عكس عقارب الساعة
+
+147
+00:10:55,660 --> 00:10:59,000
+ذاكرين كيف قلنا هذه بيصير positive وهذه بيصير
+
+148
+00:10:59,000 --> 00:11:01,880
+negative التيار بيكون هيك ولا لأ إذا تكون عكس
+
+149
+00:11:01,880 --> 00:11:07,500
+عقارب الساعة وهي شايفين كيف قلنا هي عكس عقارب
+
+150
+00:11:07,500 --> 00:11:10,240
+الساعة هذه ده عاجبناها بدون lenz high lenz بيجيبها
+
+151
+00:11:10,240 --> 00:11:14,880
+نفسه لما يكون زيادة، لما يكون نقصان بعكس، طبعًا لما
+
+152
+00:11:14,880 --> 00:11:18,260
+يكون نقصان شغلة منطقية بيصير النقصان فيها فوق والبروتينات 
+
+153
+00:11:18,260 --> 00:11:21,640
+فيها تحت، مظبوط لأن V بتنعكس وبالتالي
+
+154
+00:11:21,640 --> 00:11:24,860
+بيصير التيار بالعكس، لذا الـ lenz بيجيب نفس الشغلة
+
+155
+00:11:33,400 --> 00:11:37,080
+تمام نشوف اللي هال مثال برضه على النظر على كلّه
+
+156
+00:11:37,080 --> 00:11:40,780
+هذا مثال ما فيش كتاب بحكي عن الموضوع هذا المثال مش 
+
+157
+00:11:40,780 --> 00:11:45,820
+موجود فيه بصورة أو بأخرى بيقول لي a square loop of
+
+158
+00:11:45,820 --> 00:11:49,200
+side L بيقول لو عندك loop عبارة عن مربع قد ايش طول
+
+159
+00:11:49,200 --> 00:11:49,720
+المربع
+
+160
+00:11:55,750 --> 00:12:00,850
+مقاومة R تتحرك 
+
+161
+00:12:00,850 --> 00:12:07,590
+بسرعة ثابتة بي بتجذر في منطقة وهي بتجذر على منطقة
+
+162
+00:12:07,590 --> 00:12:13,310
+فيها مجال مغناطيسي from a region of width 3L in
+
+163
+00:12:13,310 --> 00:12:16,550
+which a uniform magnetic field B directed out of
+
+164
+00:12:16,550 --> 00:12:19,210
+the page as shown in the figure هذا هي هذه الـ loop
+
+165
+00:12:19,210 --> 00:12:23,550
+كانت هنا صارت هنا صارت هنا صارت هنا تمشي قاعدة هذه
+
+166
+00:12:23,550 --> 00:12:26,710
+المنطقة فقط فيها مجال مغناطيسي out of the page
+
+167
+00:12:26,710 --> 00:12:31,030
+مجال مغناطيسي out of the page هنا فيه مجال؟ لأ هنا
+
+168
+00:12:31,030 --> 00:12:35,190
+فيه مجال بس هنا المجال بيقول لي ايش؟ ايش المطلوب؟
+
+169
+00:12:35,190 --> 00:12:39,640
+الـ plot of course بده ثلاث رسمات The Flux أو الرسم
+
+170
+00:12:39,640 --> 00:12:43,500
+للفلوكس ثاني رسم لـ الـ induced emf الـ induced 
+
+171
+00:12:43,500 --> 00:12:49,770
+emf هذه ثالث رسم لـ الـ force الـ force and the 
+
+172
+00:12:49,770 --> 00:12:53,990
+force in the loop as a function of x مع ايش بده 
+
+173
+00:12:53,990 --> 00:12:57,490
+أصل مع X؟ ايش هي X؟ قال لي
+
+201
+00:15:01,350 --> 00:15:03,710
+مساحتها ولا بس المساحة اللي دي والمنطقة الصفراء
+
+202
+00:15:03,710 --> 00:15:07,970
+بس المنطقة اللي صفراء طيب هذه المنطقة الصفراء
+
+203
+00:15:07,970 --> 00:15:12,020
+عملها شوية شوية بزيد ولا لأ؟ وقتش بتثبت لما كلها 
+
+204
+00:15:12,020 --> 00:15:16,040
+تفوت طول ما هي كلها جوه والـ flux بيثبت لما بيبدأ
+
+205
+00:15:16,040 --> 00:15:20,160
+تثبت بقى تطلع بيبدأ ينقص ولما كلها تطلع برا بيرجع
+
+206
+00:15:20,160 --> 00:15:27,360
+zero نصم هي اللي هي يرسم هي الـ Y axis هي الـ flux Y
+
+207
+00:15:27,360 --> 00:15:32,120
+X axis تمام هي السفر تبعي لما تصل الـ right side
+
+208
+00:15:32,120 --> 00:15:36,280
+هنا ده اللي هي هنا هي الـ flux وهي اللي بتبعتك
+
+209
+00:15:36,280 --> 00:15:43,420
+جدّيش الـ flux اللي بتمشي هيكفي flux لأنه ماجدّش بيه
+
+210
+00:15:43,420 --> 00:15:50,120
+سفر إذا من السالب للسفر ماجدّش الـ flux هي السفر قبل
+
+211
+00:15:50,120 --> 00:15:56,300
+كده في flux إذا معناته هي السفر هي الـ flux كان في
+
+212
+00:15:56,300 --> 00:16:01,160
+الأول سفر بدّينا جيت بدّها تبدأ تفوت الآن الـ flux
+
+213
+00:16:01,160 --> 00:16:07,180
+ايش بيصير فيه؟ تشوف المنطقة الصفراء بزيد ولا لأ أنا
+
+214
+00:16:07,180 --> 00:16:09,860
+بدّي المنطقة الصفراء طول ما هي ماشية بدّي أحسبها
+
+215
+00:16:12,560 --> 00:16:19,520
+لما كلها تفوت لما كلها تفوت جدّيش X صارت لأ لإن
+
+216
+00:16:19,520 --> 00:16:25,120
+أنا X بقعد هذا بلاع هنا مش L لما تتطور بلاع إذا
+
+217
+00:16:25,120 --> 00:16:29,040
+ميدال الـ flux تزيد تزيد تزيد تزيد لما تساوي L إذا 
+
+218
+00:16:29,040 --> 00:16:34,100
+بيقول لي هاي هنا هاي صارت L هادي L طبعًا ليش عملت خط
+
+219
+00:16:34,100 --> 00:16:37,560
+مستقيم لإن السرعة ثابتة شباب السرعة ثابتة لو
+
+220
+00:16:37,560 --> 00:16:40,470
+السرعة لم تثبت بدّي أعملها curve لكن سرعة ثابتة
+
+221
+00:16:40,470 --> 00:16:43,610
+معناته straight line لأن الـ straight line ما له
+
+222
+00:16:43,610 --> 00:16:49,490
+ثابت ولا لأ تمه فاتت هاجدت الـ flux بتتغير بتتغير
+
+223
+00:16:49,490 --> 00:16:52,670
+الـ flux هاجدت يالله امشي مين.. مين يقول الـ flux
+
+224
+00:16:52,670 --> 00:16:57,210
+اتغير ولا ماتغيرش ثابت نفس القيمة.. نفس القيمة
+
+225
+00:16:57,210 --> 00:17:00,930
+تمه طول ما هو ماشي هيك وهو نفس القيمة لاديش يعني
+
+226
+00:17:00,930 --> 00:17:05,030
+بقدر أقولها ليه نفس القيمة اللي وصلها لآخر بضرع
+
+227
+00:17:05,030 --> 00:17:09,060
+كاملة لما وصل هناك ايش صار فيها المنطقة السافرة
+
+228
+00:17:09,060 --> 00:17:14,600
+بتزيد ولا بتنقص؟ بتنقص لما كله يطلع برا ترجع سفر
+
+229
+00:17:14,600 --> 00:17:23,860
+فحتى X مش ساوي أربعة L رجعت هنا ثم بعد كده بتدلها
+
+230
+00:17:23,860 --> 00:17:29,360
+سفر اتروح إن شاء الله من هنا لما تصل خانونس بيفرق
+
+231
+00:17:29,360 --> 00:17:38,540
+معايا سفر هاي الـ flux خلصت 0 زاد ثم ثبت ثم ناقص ثم
+
+232
+00:17:38,540 --> 00:17:43,020
+نعود لـ 0 في مشكلة يا شباب هاي رسمة الـ flux هاي أول
+
+233
+00:17:43,020 --> 00:17:48,040
+رسمة حلو قال لي ارسم الـ inf بقول لي جيت سهل القضية
+
+234
+00:17:48,040 --> 00:17:52,460
+بدّاش تفكير بقول لي الـ inf تساوي تفضل الـ flux
+
+235
+00:17:52,460 --> 00:17:57,460
+بتعرفوا تفضلوا الرسومات؟ التفاضل من الرسم تعفوا عمكم
+
+236
+00:17:57,460 --> 00:18:03,520
+أنا راضٍ عليكم آه لأنه التفاضل هو من المماس الخط
+
+237
+00:18:03,520 --> 00:18:09,660
+الأفقي جدّيش تفاضله bravo عليكم تمه إذا جدّيش تفاضله
+
+238
+00:18:09,660 --> 00:18:16,520
+هذا الخط جدّيش تفاضله هذا الخط وهذا طب هذا تفاضله
+
+239
+00:18:16,520 --> 00:18:20,320
+له قيمة وهذا تفاضله له قيمة بس معكوسة لإن هذا 
+
+240
+00:18:20,320 --> 00:18:26,490
+تفاضله مدبرة تفاضله ايش سالب خلصت إذا هنا بقول ليه؟
+
+241
+00:18:26,490 --> 00:18:30,650
+it is clear that phi is zero as long as the loop
+
+242
+00:18:30,650 --> 00:18:34,510
+is totally outside the field صح إذا zero هنا و
+
+243
+00:18:34,510 --> 00:18:38,850
+zero هنا، zero هان و zero هان، هذي منطق لأن b
+
+244
+00:18:38,850 --> 00:18:46,270
+equal to zero تمام it increases بتزيد as it is
+
+245
+00:18:46,270 --> 00:18:50,770
+entering and decreasing as it is leaving the field
+
+246
+00:18:50,770 --> 00:18:56,010
+بتزيد وهي داخلة وبتنجس وهي خارجها صحيحة أو لا؟
+
+247
+00:18:56,010 --> 00:19:00,570
+هاي اللي توي حاكيناها it is constant وبتساوي B في
+
+248
+00:19:00,570 --> 00:19:04,170
+L تربيع لإنه مساحة اللوب كلها يعني هذه القيمة
+
+249
+00:19:04,170 --> 00:19:08,970
+جدّيش بـ L تربيع when it is totally inside the field
+
+250
+00:19:08,970 --> 00:19:13,610
+لما تكون كلها جوا بتكون الـ flux ثابت وبتساوي بيه
+
+251
+00:19:13,610 --> 00:19:17,810
+بالمساحة كلها اللي هي التربية حلو الآن بيقولوا
+
+252
+00:19:17,810 --> 00:19:26,930
+بيبقوا يرسموا الـ F حلو نقول هذه Zero طول ما هذه
+
+253
+00:19:26,930 --> 00:19:34,670
+ثابتة صحيح ولا لأ؟ وهذه ثابتة هنا وهنا وهنا إذا
+
+254
+00:19:34,670 --> 00:19:44,360
+هي الـ F سفر هنا وسفر هنا وسفر هنا مظبوط ولا لأ؟
+
+255
+00:19:44,360 --> 00:19:49,740
+سفر لأنها سفر سفر لأنها ثابتة نزلت سفر لأنها سفر
+
+256
+00:19:49,740 --> 00:19:55,680
+جيت هان في قيمة وهان في قيمة عكس بعد كيف بتدعي
+
+257
+00:19:55,680 --> 00:20:05,820
+رسمهم؟ هي هادي وهي هادي هي الانف واحد
+
+258
+00:20:05,820 --> 00:20:06,480
+عكس الثاني
+
+259
+00:20:10,110 --> 00:20:20,430
+تمام؟ هذه هنا وهذه هنا هذه هي النبضة الكهربائية ال
+
+260
+00:20:20,430 --> 00:20:25,550
+pulse بنسميها الـ pulse الكهربائية تمام؟ واحد
+
+261
+00:20:25,550 --> 00:20:31,480
+بيقول لي طب ليش طلعت عجلة هيك؟ عشانه خط مستقيم ميلو
+
+262
+00:20:31,480 --> 00:20:35,320
+هان ولا ميل هان ولا ميل هان واحد ولا لأ فأنت
+
+263
+00:20:35,320 --> 00:20:38,660
+أول ما بتزيد بتطلع عندك بتضوي بتضوي وبتطلع
+
+264
+00:20:38,660 --> 00:20:41,600
+ضاوية ضاوية ضاوية لما الـ flux يثبت ترجع تطفي
+
+265
+00:20:41,600 --> 00:20:46,480
+ذاكرين الـ binary system الـ binary system اللي هو
+
+266
+00:20:46,480 --> 00:20:53,140
+النظام الثنائي الـ 01 الـ 0 هو طفة والـ 1 مضوي فهذه
+
+267
+00:20:53,140 --> 00:20:56,720
+طفت وهذه ضوت فالضوء بيجيك ضوء على طول مدي كاشف
+
+268
+00:20:56,720 --> 00:21:01,420
+التجريد لأنه عندي ثبات في السرعة فهنا ضوت هنا طفت
+
+269
+00:21:01,420 --> 00:21:04,940
+هنا ضوت بالتجارة المعاكس في النهاية لإن هم عند ضوء
+
+270
+00:21:04,940 --> 00:21:10,520
+تمام فهذه هي الـ pulse تمام خلصت من ال.. هذي بيقول لي
+
+271
+00:21:10,520 --> 00:21:14,640
+بيدي القوة قوة علشان بيقول لي ماشي هذي ماشية طيب
+
+272
+00:21:14,640 --> 00:21:18,790
+ماشية في مجال مغناطيسي بقول في مجال مغناطيسي في بعض
+
+273
+00:21:18,790 --> 00:21:22,570
+المناطق صح ولا لأ جيت بقول لي في قانون زمان
+
+274
+00:21:22,570 --> 00:21:29,230
+أخذناها قال F بتساوي I L X B ذاكرينه هذي الـ
+
+275
+00:21:29,230 --> 00:21:32,820
+magnetic force على أي سلكي بيحمل تيار في مجال
+
+276
+00:21:32,820 --> 00:21:35,100
+مغناطيسي بقول في بعض المناطق في مجال مغناطيسي في
+
+277
+00:21:35,100 --> 00:21:39,360
+تيار بقول له مرات في تيار ومرات مافيش التيار يستحاف
+
+278
+00:21:39,360 --> 00:21:43,040
+هنا في تيار في ضوء وهنا في تيار لكن هنا في تيار
+
+279
+00:21:43,040 --> 00:21:49,180
+لأ وهنا في تيار إذا هنا في قوة وهنا في قوة هنا
+
+280
+00:21:49,180 --> 00:21:52,500
+مافيش قوة وهنا مافيش قوة وهنا مافيش قوة هنا
+
+281
+00:21:52,500 --> 00:21:56,180
+مافيش قوة لأنه مافيش لا B ولا I هنا مافيش قوة
+
+282
+00:21:56,180 --> 00:21:59,930
+بالرغم من وجود B لكن مافيش تيار وهنا مافيش قوة
+
+283
+00:21:59,930 --> 00:22:05,570
+لأنه لا في B ولا في تيار طب نيجي نحسبها القوة وهل
+
+284
+00:22:05,570 --> 00:22:08,930
+هتكون مع بعض ولا عكس بعض تشوف التيارات عكس بعض ولا
+
+285
+00:22:08,930 --> 00:22:12,950
+لا لا نشوف القوة بقول هيهم الثلاث حالات اللي عندك
+
+286
+00:22:15,640 --> 00:22:20,800
+ماكنتش تعرفيها سفر بتفجين ولا لأ وبرا هنا سفر وهي
+
+287
+00:22:20,800 --> 00:22:25,960
+داخلة في زيادة وهي هنا في ثابت وهنا في نقصان
+
+288
+00:22:25,960 --> 00:22:29,220
+نشتغل مع الناس كمان مرة شباب اللي مش فاهم الناس دي
+
+289
+00:22:29,220 --> 00:22:33,020
+يوضح معايا جيتوا هي داخلة الـ flux بزيد ولا بينقص
+
+290
+00:22:33,020 --> 00:22:40,960
+بزيد مع ولا عكس عكس عكس الأصلي كيف تجاهه الأصلي
+
+291
+00:22:40,960 --> 00:22:44,840
+out إذا عكس ايش معناه حط إبهامك أنتو شوف التيار
+
+292
+00:22:44,840 --> 00:22:45,280
+كيف بيكون
+
+293
+00:22:49,220 --> 00:22:53,200
+مع عقارب الساعة، إذا هو التيار موجود جيتها وهي
+
+294
+00:22:53,200 --> 00:22:56,780
+داخلة، في تيار ولا تيار؟ في تيار، أنا بدّي أجيب
+
+295
+00:22:56,780 --> 00:22:59,880
+القوة على مربع، شباب، هل بتقدر تقول هذه closed
+
+296
+00:22:59,880 --> 00:23:04,840
+loop، هل القوة سفر؟ لأن مجلة كفيرد مش ثابت، برضه
+
+297
+00:23:04,840 --> 00:23:08,000
+سفر ومرّآيله قيمة، مظبوط ولا لأ؟ إذا مش ثابت، طيب
+
+298
+00:23:08,000 --> 00:23:12,460
+أكمل لعلها؟ بدّي أجيب القوة على أربعة أضلاع، عليه
+
+299
+00:23:12,460 --> 00:23:18,330
+قوة؟ ليش؟ مافيش B مع أن في تيار تذكروا تيار بيمشي
+
+300
+00:23:18,330 --> 00:23:23,170
+هيك في تيار لكن مافيش B طيب تقدروا تقولوا بالحدث
+
+301
+00:23:23,170 --> 00:23:26,430
+أن هذا طلع برغم طلع حدا ولا لا ذاكرين المثال
+
+302
+00:23:26,430 --> 00:23:31,990
+الحالي زيه إذا أنا بدّي طلع حدا هذا طلع تياره كيف
+
+303
+00:23:31,990 --> 00:23:39,370
+اتجاهه لأسفل لو بدّي أعوض هنا بدّي أحط I وهنا سالب
+
+304
+00:23:39,370 --> 00:23:49,200
+L J cross الـ KJ cross Ki ثم صلب I كيف القوة تجاهها
+
+305
+00:23:49,200 --> 00:23:56,680
+عكس عكس حركته ولا مش عكس حركته عكس حركته تمام إذا
+
+306
+00:23:56,680 --> 00:24:03,440
+بيقول لي نجي للـ F the force is zero as long as
+
+307
+00:24:03,440 --> 00:24:06,420
+epsilon بتساوي سفر يعني مافيش تيار بيقولوا طول ما
+
+308
+00:24:06,420 --> 00:24:10,620
+التيار مش موجود فيش F يعني بيقول لي هنا سفر وهنا
+
+309
+00:24:10,620 --> 00:24:17,560
+سفر وهنا سفر اتفهمنا طبعًا إذا هذه سفر وهذه سفر
+
+310
+00:24:17,560 --> 00:24:24,580
+وهذه سفر قال الآن اشتغل عليه وفوق الفجانية أقول
+
+311
+00:24:24,580 --> 00:24:28,020
+هنا هنا آه as the loop is entering وهي داخلة على
+
+312
+00:24:28,020 --> 00:24:32,140
+أي ضلع تشتغل على ضلع اليمين the force is on its
+
+313
+00:24:32,140 --> 00:24:38,660
+right side طول القوة ناقص I تبنيه وهو خارج الـ
+
+314
+00:24:38,660 --> 00:24:42,370
+flux بزيد ولا بينقص إذا التيار المستحيلة لينز
+
+315
+00:24:42,370 --> 00:24:48,790
+بيقول مع ولا ضد، مع، حط إبهامك برا، مش هذا هو،
+
+316
+00:24:48,790 --> 00:24:52,690
+طب أنا أضلاع، بدّي اضلع حدا؟ ولا بدّي اضلع حدا لان؟
+
+317
+00:24:52,690 --> 00:24:56,510
+بدّي اضلع حدا، لأن اضلع حدا في B؟ طب هات اضلع كيف
+
+318
+00:24:56,510 --> 00:25:01,950
+بيطيّع عليه، لا فوق ولا تحت؟ زي هذا، إذا نفسي
+
+319
+00:25:01,950 --> 00:25:05,700
+اتجاه القوة أو مش نفسي اتجاه القوة؟ نفس اتجاه القوة
+
+320
+00:25:05,700 --> 00:25:10,280
+شوف معانا التيارات اختلفوا لكن عشان الضلعين في
+
+321
+00:25:10,280 --> 00:25:14,460
+الأخر اختلفوا فطلع في الحالتين التيار في الضلع
+
+322
+00:25:14,460 --> 00:25:17,980
+اللي بدّي إياه down ولا مش down إذا القوة ما ت في
+
+323
+00:25:17,980 --> 00:25:22,400
+الحالتين مع بعض ولا ضد بعض؟ مع بعض فبتكون القوة
+
+324
+00:25:22,400 --> 00:25:27,450
+هادي هيك الثانية كي بدّه تكون طبعًا واحدة من واحدة
+
+325
+00:25:27,450 --> 00:25:29,990
+يقول ايه؟ ممكن هدى يخليها تحت وهدى فوق وبقول له آه
+
+326
+00:25:29,990 --> 00:25:33,590
+ممكن هدى والنتين يخليهم تحت وبقول له آه مش مشكلة
+
+327
+00:25:33,590 --> 00:25:36,350
+المهم أن النتين هدى يكونوا مع بعض وهدى يكونوا
+
+328
+00:25:36,350 --> 00:25:39,350
+عكس بعض طبعًا تطلعوا أنتو وشوفوا مبدأ
+
+329
+00:25:39,350 --> 00:25:44,670
+conservation of energy شباب هدى ماشية القوة بتكون
+
+330
+00:25:44,670 --> 00:25:52,220
+معاكسة صفة مقاومة التغيير موجودة في كل شيء مقاومة
+
+331
+00:25:52,220 --> 00:25:56,200
+التغيير من تعريف الـ inertia إذا كنتوا ذاكرينها الـ
+
+332
+00:25:56,200 --> 00:25:59,780
+inertia هي خاصية المادة لمقاومة التغيير ولا لأ
+
+333
+00:25:59,780 --> 00:26:06,780
+فدائمًا الأحوال والخلائق تميل إلى معارضة التغيير
+
+334
+00:26:06,780 --> 00:26:09,680
+أنت شوف لك أي فكرة جديدة ميت ألف واحد بيطلع ينط لك
+
+335
+00:26:09,680 --> 00:26:13,880
+معارضها ولا لأ جيت أنت لعبة جالك شمال بتقول له جنوب
+
+336
+00:26:14,380 --> 00:26:17,400
+مجبور على المخالفة طبيعي حكمه دائمًا صح هذا فدائمًا
+
+337
+00:26:17,400 --> 00:26:22,340
+أن الإنسان بيحاول يقاوم التغيير التغيير وهذه ده
+
+338
+00:26:22,340 --> 00:26:26,240
+هي ماشية من لازم في حد يعاكس فهو هذا هو مبدأ الـ
+
+339
+00:26:26,240 --> 00:26:29,940
+conservation of energy عشان كده خطط قاعدة لينز قال
+
+340
+00:26:29,940 --> 00:26:34,160
+لو هذه السلب مش موجودة معناته هذه بيجيجيها كم قوة
+
+341
+00:26:34,160 --> 00:26:39,020
+طاقة وين بتروحي من وين بتيجي لكن طاقة بتعاكس طاقة
+
+342
+00:26:39,220 --> 00:26:43,020
+عشان يبقى الطاقة محفوظة فهذا مبدأ حفظ الطاقة هذه
+
+343
+00:26:43,020 --> 00:26:48,060
+هي المثال اللي كان مهم جدًا إنه بيجيبها شاملة بيجيب
+
+344
+00:26:48,060 --> 00:26:53,100
+قاعدة lens عشان يجيب للتيارات بيجيب القوة وبيجيب
+
+345
+00:26:53,100 --> 00:26:56,940
+قانون فرداي كيف تجيب الانف وكيف هي تجيبها الأمور
+
+346
+00:26:56,940 --> 00:27:03,390
+فهذه هي الرسمة اللي موجودة كمثال induced electric
+
+347
+00:27:03,390 --> 00:27:09,230
+field آخر موضوع في هذا الـ chapter هو الـ induced
+
+348
+00:27:09,230 --> 00:27:14,310
+electric field قال في عندك اتغير لـ flux طلع عندك
+
+349
+00:27:14,310 --> 00:27:18,750
+induced emf induced emf سكر صار في عندك induced
+
+350
+00:27:18,750 --> 00:27:23,500
+current إذا induced emf بجيب induced current طب
+
+351
+00:27:23,500 --> 00:27:25,700
+قل لي هو التيار الشوة مش في نهاية الشحنات ولا في
+
+352
+00:27:25,700 --> 00:27:29,180
+الشحنات مازال في تيار في المنطقة في مجال كهربائي
+
+353
+00:27:29,180 --> 00:27:32,520
+ولا لأ مازال في مجال كهربائي حاجات اندوست انف
+
+354
+00:27:32,520 --> 00:27:35,400
+سموها induced current هذا بيسموها induced electric
+
+355
+00:27:35,400 --> 00:27:39,420
+field طبعًا إذا induced electric field مين جابه تغير
+
+356
+00:27:39,420 --> 00:27:44,260
+في الـ flux لما تغير في الـ flux جاب emf جاب تيار
+
+357
+00:27:44,260 --> 00:27:49,330
+وبالتالي شحنات وبالتالي في مجال كهربائي بيقول لي بعد
+
+358
+00:27:49,330 --> 00:27:53,550
+المعلومة تابعة Faraday بقول a changing magnetic
+
+359
+00:27:53,550 --> 00:27:58,770
+flux creates an induced emf صح هذا Faraday and
+
+360
+00:27:58,770 --> 00:28:03,890
+thus وبالتالي الـ emf بيجيب تيار and thus an
+
+361
+00:28:03,890 --> 00:28:07,150
+induced current in a conducting loop طبعًا التيار
+
+362
+00:28:07,150 --> 00:28:09,770
+لازم يكون في دائرة مغلقة عشان يطلع عندي تيار صحيح
+
+363
+00:28:09,770 --> 00:28:14,250
+ولا لأ؟ حلوبيقول لي before بما أنه التيار هو شحنات
+
+364
+00:28:14,250 --> 00:28:17,950
+and electric field must be present along the loop
+
+365
+00:28:17,950 --> 00:28:20,390
+إذا ما زال فيه تيار إذا ما زال فيه مجال كهربائي
+
+366
+00:28:20,390 --> 00:28:23,570
+بدّي أحسبه هذا المجال الكهربائي بدّي أسميه induced
+
+367
+00:28:23,570 --> 00:28:29,550
+electric field this field وهو المجال created by
+
+368
+00:28:29,550 --> 00:28:34,070
+changing magnetic flux is called induced electric
+
+369
+00:28:34,070 --> 00:28:38,310
+field and given by .. لنحسبها أنا معكم أنا
+
+401
+00:30:47,530 --> 00:30:51,760
+أنت لما تقول في جاذبية بمعنى لو حطيت كتلة تنزل لو
+
+402
+00:30:51,760 --> 00:30:54,280
+حطيت كتلة بتنزل عشان كده بتقول عند هذه النقطة في 
+
+403
+00:30:54,280 --> 00:30:58,120
+جاذبية أرضية حاجات عند النقطة هذه في مجال كهربائي
+
+404
+00:30:58,120 --> 00:31:02,380
+بتقول الله أعلم ممكن يكون وممكن ما يكونش حتى لكن
+
+405
+00:31:02,380 --> 00:31:04,820
+لو حطيت شحنة واتحركت بتقول في مجال كهربائي صح ولا
+
+406
+00:31:04,820 --> 00:31:09,160
+لأ، إذا وجود المجال مش بالضرورة يكون في هذه النقطة
+
+407
+00:31:09,160 --> 00:31:15,090
+في شحنة صح؟ هي نفس العملية وجود المجال هذا لا يعني
+
+408
+00:31:15,090 --> 00:31:18,650
+عند النقطة هذه في تيار بس في تيار في المنطقة في 
+
+409
+00:31:18,650 --> 00:31:24,030
+مجال في المنطقة فأي لوب حتى لو كانت وهمية بتقدر
+
+410
+00:31:24,030 --> 00:31:28,030
+تجيبها عشان تحسب شدة المجال الكهربائي أي لوب وهمية
+
+411
+00:31:28,030 --> 00:31:32,990
+استخدمها فهذه إيش هي؟ لوب وهمية صارت لوب وهمية هي
+
+412
+00:31:32,990 --> 00:31:36,310
+طبعا ال flux حقيقية ما لناش دعوة فيها
+
+413
+00:31:38,810 --> 00:31:41,890
+الشغل الثاني اللي جايبه نعملها بقول واحدة واحدة
+
+414
+00:31:41,890 --> 00:31:46,690
+علينا المجال الكهربائي هذا سموه induce electric 
+
+415
+00:31:46,690 --> 00:31:49,290
+field ده مش مفرق عن المجال الكهربائي اللي خدناه في
+
+416
+00:31:49,290 --> 00:31:54,530
+أول chapter اللي جبناه قلنا إيه؟ بيساوي KQ على R
+
+417
+00:31:54,530 --> 00:32:03,040
+تربيةبهو هذه برضه شحنات ما هي تيار في الآخر تمام بس
+
+418
+00:32:03,040 --> 00:32:08,160
+إيش المشكلة؟ جالي هادي سمتليها وقالتلي هادي قوة
+
+419
+00:32:08,160 --> 00:32:14,380
+محافظة مجال محافظ وبالتالي إيه؟ فرق جهود الآن لو
+
+420
+00:32:14,380 --> 00:32:18,180
+هادي مجال محافظ إيش مستي؟ المجال المحافظ بيقول لي
+
+421
+00:32:18,180 --> 00:32:21,950
+لا يعتمد على المسار لا يعتمد على المسار وإذا لا
+
+422
+00:32:21,950 --> 00:32:25,150
+يعتمد على المسار معناته لو بدأت من نقطة ورجعت لنفس
+
+423
+00:32:25,150 --> 00:32:29,650
+النقطة المفروض يكون الشغل بيساوي zero يعني فرقة
+
+424
+00:32:29,650 --> 00:32:32,650
+جهد بيبقى بيساوي zero معناته هادي بيبقى بيساوي
+
+425
+00:32:32,650 --> 00:32:35,670
+zero لما أبدأ أنا هاجيت لو هادي لا يعتمد على
+
+426
+00:32:35,670 --> 00:32:38,970
+المسار لو حطيت ما زال لا يعتمد على المسار بيبقى
+
+427
+00:32:38,970 --> 00:32:42,690
+جول من إيه؟ من واحد لواحد أو من إيه لإيه؟ لو عملت من
+
+428
+00:32:42,690 --> 00:32:45,630
+إيه لإيه جديش القيمة اللي بتطلع zero لكن هي ما
+
+429
+00:32:45,630 --> 00:32:49,640
+طلعتش zero لما أقول مغلق من إيه لإيه؟ أنا بصحي اللي
+
+430
+00:32:49,640 --> 00:32:52,640
+ياخد من إيه لإيه لإنه أي مسار اللي قد تاخده بيطلع
+
+431
+00:32:52,640 --> 00:32:57,020
+zero بيقولي آه هذا المجال مش محافظ لإن لو محافظ
+
+432
+00:32:57,020 --> 00:33:00,980
+بيصير هذا الكلام غلط إذا معناته اللي بيحل الإشكالية
+
+433
+00:33:00,980 --> 00:33:04,500
+إن هذا المجال ما يكونش محافظ إذا هذا بيفرق عن
+
+434
+00:33:04,500 --> 00:33:08,360
+المجال هداك إنه هذا مجال غير محافظ بيقولي the
+
+435
+00:33:08,360 --> 00:33:10,740
+induced electric field اللي هو المجال اللي أنت
+
+436
+00:33:10,740 --> 00:33:15,290
+قاعد تحكي عنه is quite different كليا مختلف from
+
+437
+00:33:15,290 --> 00:33:18,710
+the electrostatic field produced by static charges
+
+438
+00:33:18,710 --> 00:33:22,150
+كيف؟ the induced electric field is a non
+
+439
+00:33:22,150 --> 00:33:26,250
+-conservative field هو non-conservative field
+
+440
+00:33:26,250 --> 00:33:30,510
+produced by a changing magnetic flux ومنتج من flux
+
+441
+00:33:30,510 --> 00:33:35,460
+متغير إذا اللي بدنا نعرفه إن المجال اللي ناتج من
+
+442
+00:33:35,460 --> 00:33:39,900
+تغيّر ال flux هو مجال غير محافظ بعكس المجال اللي
+
+443
+00:33:39,900 --> 00:33:46,620
+جاي من شحنات استاتيكية ثابتة هو مجال محافظ بيقول لي
+
+444
+00:33:46,620 --> 00:33:49,020
+وإلا hence no electric potential can be associated
+
+445
+00:33:49,020 --> 00:33:52,760
+by the induced electric field ال induce electric
+
+446
+00:33:52,760 --> 00:33:56,660
+field لو أنه كان محافظ بيبطل فيه فرق جهود لكن أنا
+
+447
+00:33:56,660 --> 00:33:58,940
+بتقول إن أنت فيه فرق جهود hence no electric
+
+448
+00:33:58,940 --> 00:34:00,820
+potential can be associated by the induced
+
+449
+00:34:00,820 --> 00:34:03,220
+electric field the potential difference between
+
+450
+00:34:03,220 --> 00:34:07,820
+two points I and F هي القانون I and F لو هدي بيساوي
+
+451
+00:34:07,820 --> 00:34:12,400
+هدي بتطلع Zerowhich would be zero for a closed
+
+452
+00:34:12,400 --> 00:34:15,340
+path اللي تاوي شراحته contrary to the induced
+
+453
+00:34:15,340 --> 00:34:19,200
+electric field contrary .. so إيش دول عندي؟
+
+454
+00:34:19,200 --> 00:34:22,140
+بيقولوا كيف اتجاهوا المجال الكهربائي؟ كيف بيعرف
+
+455
+00:34:22,140 --> 00:34:26,940
+اتجاهه؟ هاجيت اتجاه المجال الكهربائي لو عندي مجال
+
+456
+00:34:26,940 --> 00:34:32,960
+كهربائي متجه الشمال وشحنة موجبة وين بتروح؟ شمال
+
+457
+00:34:32,960 --> 00:34:37,120
+براو طيب لو قلتلكم شحنة موجبة تتحرك شمال كيف اتجاه
+
+458
+00:34:37,120 --> 00:34:41,750
+المجال؟ شمال إذا اتجاه المجال هو اتجاه الشحنات
+
+459
+00:34:41,750 --> 00:34:45,210
+الموجبة حركتها ولا لأ؟ حلو، لو شحنة موجبة بتروح
+
+460
+00:34:45,210 --> 00:34:50,310
+شمال، التيار كيف اتجاهه؟ برضه شمال، إذا اتجاه
+
+461
+00:34:50,310 --> 00:34:54,270
+المجال الكهربائي واتجاه التيار مع بعض ولا لأ؟ اه
+
+462
+00:34:54,270 --> 00:34:58,980
+طيب اتجاه التيار كيف حددته؟ مش by lens؟ إذا برضه
+
+463
+00:34:58,980 --> 00:35:02,280
+اتجاه المجال أعمله مع الـ Lens نفس اللي بتعمله مع
+
+464
+00:35:02,280 --> 00:35:05,460
+التيار المستحثة أعمله مع المجال المستحث
+
+465
+00:35:05,460 --> 00:35:09,540
+فبيقول لي the direction of the induced electric
+
+466
+00:35:09,540 --> 00:35:14,540
+field is determined by Lens's rule بس قدت Lens
+
+467
+00:35:14,540 --> 00:35:20,000
+بيفهم المثال اللي احنا ما لناش نشتغل عليه بيقول لي a
+
+468
+00:35:20,000 --> 00:35:24,940
+long solenoid ذاكرين ال solenoid ال solenoid
+
+469
+00:35:24,940 --> 00:35:30,940
+الحلزوني جدش المجال براو جوه uniform وبيساوي ميو
+
+470
+00:35:30,940 --> 00:35:34,860
+نوت إن في ال I عدا من اكتبه بيقول هذا سيلونود لونج
+
+471
+00:35:34,860 --> 00:35:39,480
+بدي أحط شباب وأرسم مقطع منه اعملوا غيرك وارسموه
+
+472
+00:35:39,480 --> 00:35:43,680
+مش بدي باين قدامي دائرة وباقي الدوائر جوه اللوح
+
+473
+00:35:44,640 --> 00:35:48,680
+تمام of radius capital R ما هو الصلوعة نصف قطرها
+
+474
+00:35:48,680 --> 00:35:53,800
+capital R has N turns per unit of wire per unit
+
+475
+00:35:53,800 --> 00:35:58,440
+length اعتبريها N and carries a current given by
+
+476
+00:35:58,440 --> 00:36:07,340
+التيار شباب المعطى by I بتساوي I maximum cosine
+
+477
+00:36:07,340 --> 00:36:12,120
+omega T هي التيارة اتانية التيار ثابت مع الزمان
+
+478
+00:36:12,120 --> 00:36:16,720
+ولا بتغير مع الزمان بتغير مع الزمن طيب بالتالي مجال
+
+479
+00:36:16,720 --> 00:36:20,300
+السيلونويد ثابت مع الزمن أو بتغير مع الزمن؟ بتغير
+
+480
+00:36:20,300 --> 00:36:25,200
+مع الزمن تمام بقول هي السيلونويد هي لفة وباقي
+
+481
+00:36:25,200 --> 00:36:31,680
+اللفات جوا الحيطة تمام والتيار هيدل قيمته مش
+
+482
+00:36:31,680 --> 00:36:33,160
+مش مشكلة قولي
+
+483
+00:36:37,050 --> 00:36:47,370
+Calculate the induced
+
+484
+00:36:47,370 --> 00:36:50,370
+electric field inside and outside the solenoid
+
+485
+00:36:54,020 --> 00:36:56,560
+من وين جاي؟ من المجال المغناطيسي المجال المغناطيسي
+
+486
+00:36:56,560 --> 00:36:59,160
+بتغير مع الزمان ولا بتغيرش مع الزمان؟ بتغير مع
+
+487
+00:36:59,160 --> 00:37:02,260
+الزمان لأن التيار بتغير مع الزمان إذا الفكس متغير
+
+488
+00:37:02,260 --> 00:37:04,820
+قال لي إذا في عندك مجال كهربائي هذا المجال
+
+489
+00:37:04,820 --> 00:37:08,880
+الكهربائي موجود في المنطقة قال لي أوجد ليه هنا وهنا
+
+490
+00:37:08,880 --> 00:37:12,880
+عند نقطة جوه عند نقطة برا كله بسيطة قال لي
+
+491
+00:37:12,880 --> 00:37:17,400
+أعمل لوب حتى لو وهميه أنا بديه جوه إذا أعمل لوب
+
+492
+00:37:17,400 --> 00:37:22,890
+وهميه solution بقول لت فيرس درو ان اميجينيا بيكلز
+
+493
+00:37:22,890 --> 00:37:26,730
+لوب of radius small r لإنه بيديها دوه إذا الـ loop
+
+494
+00:37:26,730 --> 00:37:29,470
+تبعت هيك بدي أجيبها وكأنه لو بقول لي أو دي اتشدت
+
+495
+00:37:29,470 --> 00:37:35,170
+المجال مع المخلصة عند النقطة هذه عملت loop الآن ما 
+
+496
+00:37:35,170 --> 00:37:38,590
+زال عملت الـ loop انتهت بقدر أجيب ال flux على ال
+
+497
+00:37:38,590 --> 00:37:43,230
+loop هادي ولا لأ؟ بقدر أجيب ال flux ال flux كيف هذه
+
+498
+00:37:43,230 --> 00:37:47,880
+الـ loop عملتلي مساحة ولا لأ؟ بديل المساحة هذه جدش
+
+499
+00:37:47,880 --> 00:37:52,600
+فيها flux إيش ال flux بيساوي؟ بي في ايه هل المساحة
+
+500
+00:37:52,600 --> 00:37:55,760
+فيها بي ولا فيش فيها بي؟ فيها بي وال a بتاعكم
+
+501
+00:37:55,760 --> 00:38:00,220
+جيبوها ما هي دائرة مساحة دائرة خلاص إذا بجيب ال
+
+502
+00:38:00,220 --> 00:38:03,340
+flux بقول
+
+503
+00:38:04,250 --> 00:38:08,530
+The magnetic flux through the area enclosed by
+
+504
+00:38:08,530 --> 00:38:14,230
+this loop is بقول Phi M بتساوي بيه ضد ال a بيه في a
+
+505
+00:38:14,230 --> 00:38:19,790
+في cos θ cos θ صفر أو 180 درجة إذا لا واحد لا ناقص
+
+506
+00:38:19,790 --> 00:38:25,830
+واحد بتعتبرها واحد بيه هي ميو نوت in في ال I وA
+
+507
+00:38:25,830 --> 00:38:31,990
+مساحة الدائرة هذا هو I wallet ميو نوت in في ال I
+
+508
+00:38:31,990 --> 00:38:35,570
+وهي مساحة الدائرة بدل I جيبت قيمة I I maximum
+
+509
+00:38:35,570 --> 00:38:41,550
+cosine omega T هاي ال flux تمام شباب طبعا بدي أتبع
+
+510
+00:38:41,550 --> 00:38:45,050
+شغلة معينة عشان بس ما تطلعش معانا الأمور أنا هذا ال
+
+511
+00:38:45,050 --> 00:38:55,330
+flux أصله قانونه ال flux أنا عندي هاي
+
+512
+00:38:55,330 --> 00:39:01,080
+ال flux عشان يطلع بي ضد ال a التي بتكون بي constant
+
+513
+00:39:01,080 --> 00:39:06,120
+uniform طيب هذه أنا طلعتها برا مع إنك أنت
+
+514
+00:39:06,120 --> 00:39:10,180
+بتقول لي إياها متغيرة مرة بدي أفاضلها ومرة بتطلعها ثابت
+
+515
+00:39:10,180 --> 00:39:13,840
+ليش هنا بقدر أطلعها برا وهنا بقدرش أقول أفاضلها
+
+516
+00:39:13,840 --> 00:39:18,020
+سفر أنا هيك بدي أطلعها برا بقول إن أنا أطلعها برا
+
+517
+00:39:18,020 --> 00:39:22,480
+تصير بي ضد دي اي صادد دي اي طلعتها برا تباركتها
+
+518
+00:39:22,480 --> 00:39:25,940
+uniform ثابتة طلعتها برا وهنا أنا بدي أفاضلها شباب
+
+519
+00:39:32,670 --> 00:39:36,850
+هنا مثلا أو هنا احكي
+
+520
+00:39:39,070 --> 00:39:44,070
+بالظبط هذه ثابتة بالنسبة لل area هذه متغيرة
+
+521
+00:39:44,070 --> 00:39:47,690
+بالنسبة للزمن فلما أنا أكمل على ال x وال y تعتبر
+
+522
+00:39:47,690 --> 00:39:51,530
+ثابتة بطلعها برا التكامل هنا حتى لو كانت ثابتة
+
+523
+00:39:51,530 --> 00:39:55,430
+بالنسبة لل x وال y لكن أنا بفضل بالنسبة للزمن وهي
+
+524
+00:39:55,430 --> 00:39:58,250
+متغيرة بالنسبة للزمن فبالتالي ممكن أفاضلها يعني
+
+525
+00:39:58,250 --> 00:40:03,250
+بمعنى آخر هجي ال dx على دي T ممكن تساوي صفر وممكن
+
+526
+00:40:03,250 --> 00:40:06,430
+ما تساوي الصفر صح أو لا؟ بتساوي صفر لو هدا ال X
+
+527
+00:40:06,430 --> 00:40:08,730
+ممكن تدعوه بالزمان لكن لو إنّها دعوه بالزمان بتفقد
+
+528
+00:40:08,730 --> 00:40:11,990
+تساوي الصفر مظبوط ولا لأ؟ فهذه نفس القضية فبديش
+
+529
+00:40:11,990 --> 00:40:13,850
+واحد يقول أنت مرة بيقول إنّها uniform ومرة بيقول
+
+530
+00:40:13,850 --> 00:40:17,890
+إنّها متغيرة هي uniform يعني constant as a function
+
+531
+00:40:17,890 --> 00:40:21,310
+of position لكن ممكن تكون variable as a function
+
+532
+00:40:21,310 --> 00:40:27,870
+of T تمام طلعت ال flux حلو الآن حط القانون بيقول
+
+533
+00:40:27,870 --> 00:40:33,290
+القانون اللي أنا حكيته هذا هو شباب هذا ال side
+
+534
+00:40:33,290 --> 00:40:37,150
+دائما هذه بتطلع برا ال dot of product مش موجود و
+
+535
+00:40:37,150 --> 00:40:41,470
+DS محيط اللوب اللي أخيت أنت اخترتها اللوب الحمراء
+
+536
+00:40:41,470 --> 00:40:44,910
+تمام هذه دائما اللوب اللي اخترتها ال imaginary
+
+537
+00:40:44,910 --> 00:40:49,150
+loop محيطها زي قانون أمبير ذاكرينه زي قانون أمبير
+
+538
+00:40:49,150 --> 00:40:53,890
+اللوب محيطها وهذه إيه؟ بتطلع برا طلع هذه برا هذه
+
+539
+00:40:53,890 --> 00:40:59,960
+طبعا أنا فضلت بس هذه إيش؟ تفضل كل side شباب مضبوط في
+
+540
+00:40:59,960 --> 00:41:03,580
+سالب مع سالب راحت الكو ساين لما فضلها سالب ساين وتطلع
+
+541
+00:41:03,580 --> 00:41:07,840
+أوميجا برا فضلتها هجتنيجي لهذه هذي بيصير
+
+542
+00:41:07,840 --> 00:41:11,020
+باسيمتري بيقول إن هذي E ثابتة وال dot product
+
+543
+00:41:11,020 --> 00:41:16,880
+tangent فبيصير عنده بهذا الشكل E برا دي أس تكملها
+
+544
+00:41:16,880 --> 00:41:20,220
+محيط الـ loop محيط الـ loop وحتى في هيك بيطلع
+
+545
+00:41:20,220 --> 00:41:26,200
+الجواب ما فيش فيها مشكلة ساعتها طلعت E زي ما أنتو
+
+546
+00:41:26,200 --> 00:41:29,980
+شايفين هجيب في حلقة جيبت جوه قال برا to calculate
+
+547
+00:41:29,980 --> 00:41:32,000
+the electric field outside قال أنا أختار الـ loop
+
+548
+00:41:32,000 --> 00:41:38,020
+برا هذا هي بده برا يعني بده هيك هي بده إيه هنا
+
+549
+00:41:38,020 --> 00:41:42,170
+اختارت loop حلو بقول هذه الـ loop الحمراء يجيبني ال
+
+550
+00:41:42,170 --> 00:41:45,750
+reflex عليها الآن بدي ال reflex عليها نرجع الحيطة
+
+551
+00:41:45,750 --> 00:41:49,750
+واللوح يجيبني مساحة اللوح على مساحة الحيطة مساحة
+
+552
+00:41:49,750 --> 00:41:52,910
+اللوح هيتقب بي موجودة على كل مساحة الحمراء ولا بس
+
+553
+00:41:52,910 --> 00:41:56,050
+عاجزة إذا أنت بدك الآن لما تحتب ال reflex وتقول
+
+554
+00:41:56,050 --> 00:42:01,050
+بي في إيه بدك إيه الصمرة ولا الحمراء بس الصمرة لأن
+
+555
+00:42:01,050 --> 00:42:04,550
+الحمراء مش كلها فيها مجال مغناطيسي تمام هيك؟ هذا
+
+556
+00:42:04,550 --> 00:42:06,610
+trick كتير في السؤال البيجير كيف نعرضها نعمل احنا
+
+557
+00:42:06,610 --> 00:42:11,990
+بنجيب دويرة زي هيك أو من اديك نصف قطرها خمسة متر ولا
+
+558
+00:42:11,990 --> 00:42:16,530
+حاجة مولاك المجال المغناطيسي بس هنا موجود بس هنا
+
+559
+00:42:16,530 --> 00:42:20,230
+بقول لك أوديد ال flux على اللوبة الدائرية بس مساحة
+
+560
+00:42:20,230 --> 00:42:25,170
+المربع بس أنا بدي ال flux حتى لو بدي ال flux اللي
+
+561
+00:42:25,170 --> 00:42:30,170
+هنا لإن هنا ما فيش ولو هذه 2 متر بقول 4
+
+562
+00:42:30,170 --> 00:42:34,270
+في بي لإن مساحة 2 في 2 تمام فهنا بيقول لي
+
+563
+00:42:34,270 --> 00:42:37,250
+to calculate the electric field outside the sphere
+
+564
+00:42:37,250 --> 00:42:40,350
+the closed path has now a radius R أكبر من كمية
+
+565
+00:42:40,350 --> 00:42:44,730
+العرةار ال closed path اللي هي هذه بس الـ magnetic
+
+566
+00:42:44,730 --> 00:42:50,810
+field محصور في منطقة معينة confined only to the
+
+567
+00:42:50,810 --> 00:42:54,010
+region R أقل من capital R بس المنطقة السوداء هذه
+
+568
+00:42:54,010 --> 00:42:58,790
+the magnetic flux through the path is فاي بساوي ميو
+
+569
+00:42:58,790 --> 00:43:04,830
+نوت هادي N في I في إيش؟ في باقي capital R تربيع مش
+
+570
+00:43:04,830 --> 00:43:09,330
+اسمه R تربيع بس السمراء خدت بس السمراء طلعتها
+
+571
+00:43:09,330 --> 00:43:13,410
+الفاي تمام اللي أنا بقوله يكتب القانون حاجات هذه
+
+572
+00:43:13,410 --> 00:43:17,950
+الـ DS الحمراء ولا السمراء؟ هذه دائما الحمراء هذه
+
+573
+00:43:17,950 --> 00:43:20,650
+دائما الحمراء هذه دائما طبعا هنا
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9a47724273459ed2362af99cebc13b3aa7ab197d
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/6WiH4BFWFBA_postprocess.srt
@@ -0,0 +1,2088 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,510 --> 00:00:13,710
+طبعا بعد بسم الله الرحمن الرحيم من السنف هو ضال
+
+3
+00:00:13,710 --> 00:00:18,330
+عندنا محاضرتين محاضرة اليوم ومحاضرة يوم التلاتة
+
+4
+00:00:18,330 --> 00:00:23,230
+احنا بنكمل الآن chapter ال alternating current
+
+5
+00:00:23,230 --> 00:00:28,370
+circuits بعد ما اتفقنا انه التيار المتردد بيعطينا
+
+6
+00:00:28,370 --> 00:00:32,770
+سلبية انه التيار مالوش قيمة واحدة وبالتالي اذا عدد
+
+7
+00:00:32,770 --> 00:00:37,670
+قيم وقيم بتتغير مع الزمن بيصير عملية جمع القيم مش
+
+8
+00:00:37,670 --> 00:00:43,000
+فيه صعوبةعشان نتعامل معها عرفنا حاجة نسميها ال
+
+9
+00:00:43,000 --> 00:00:48,400
+phasor اتفقنا ان ال phasor عشان يصير محكا مع ال
+
+10
+00:00:48,400 --> 00:00:52,160
+vectors هو عبارة عن vector بلوف ضد عقارب الساعة
+
+11
+00:00:52,160 --> 00:00:58,860
+طوله بمثل ال maximum value لل AC quantity وما سقطه
+
+12
+00:00:58,860 --> 00:01:03,240
+على ال y axis بمثل ال instantaneous value of the
+
+13
+00:01:03,240 --> 00:01:09,080
+AC quantity بالاخر بدأنا نشتغلنشوف الدوائل الطيارة
+
+14
+00:01:09,080 --> 00:01:14,280
+المترددة كيف نتحللها و كيف نتعامل معاها جونا لل R
+
+15
+00:01:14,280 --> 00:01:19,320
+لما يكون عندي A طبعا ال I في كل حوار عندي ال V
+
+16
+00:01:19,320 --> 00:01:24,920
+بتسوي V maximum sin Omega T هاي ال V تبعت ال
+
+17
+00:01:24,920 --> 00:01:28,760
+source هيك بناخدها لما يكون عندي R طلعت ال I بتسوي
+
+18
+00:01:28,760 --> 00:01:34,540
+I maximum برضه sin Omega T وبالتالي جونا ال I و ال
+
+19
+00:01:34,540 --> 00:01:40,780
+V are in phaseالـ I و ال V are in phase فلقلنا I
+
+20
+00:01:40,780 --> 00:01:48,800
+and V in phase هذه لما يكون في بص أه لما يكون في
+
+21
+00:01:48,800 --> 00:01:57,680
+عندي L طلعت I بتساوي I maximum sign Omega T ناقص
+
+22
+00:01:57,680 --> 00:02:07,330
+طاعة 2وبالتالي قلنا ال I lags behind V ال I lags V
+
+23
+00:02:07,330 --> 00:02:13,530
+طبعا 90 درجة ان ال I بتأخر عن هذه 90 درجة لما يكون
+
+24
+00:02:13,530 --> 00:02:19,870
+عندي فقط C لجينا I بتساوي I maximum sine Omega T
+
+25
+00:02:19,870 --> 00:02:25,950
+plus Pi over 2 يعني I leads V
+
+26
+00:02:28,110 --> 00:02:32,790
+برضه الزاوية 90 درجة هذه المعلومات اللى احنا عندنا
+
+27
+00:02:32,790 --> 00:02:36,510
+الان انا فى الدائرة دي حاطينها اللى حالها وحاطينها
+
+28
+00:02:36,510 --> 00:02:39,710
+اللى حالها وحاطينها سي اللى حالها واتعرفنا هايش
+
+29
+00:02:39,710 --> 00:02:43,830
+بدي اعمل شغلة تشمل الجميع بدي احط التلاتة مع بعض
+
+30
+00:02:45,110 --> 00:02:50,050
+سيريز R L C A C سيركت يعني هاي التلاتة مع بعض طبعا
+
+31
+00:02:50,050 --> 00:02:53,610
+هذه التلاتة بتغنينا عن كل الأمور السابقة لإيش؟ لإن
+
+32
+00:02:53,610 --> 00:02:58,250
+إذا اشتقت هنا بدك R لعلا اتبع L وC صح ولا لأ؟ بدك
+
+33
+00:02:58,250 --> 00:03:03,330
+L لعلا اتبع R وC صفر بدك ال C لعلا اتبع R وL صفر
+
+34
+00:03:03,330 --> 00:03:06,750
+وبالتالي هذه المعادلة أو هذا ال section بغيلي
+
+35
+00:03:06,750 --> 00:03:11,170
+التلسكتشن السابقة ما بيبقى لهم فائدة لأن هذا
+
+36
+00:03:11,170 --> 00:03:16,330
+بيشملهم تلقائياطب عوانى المشكلة بقول هل V بيصوى V
+
+37
+00:03:16,330 --> 00:03:21,390
+maximum Sin Omega T التيار كيف بيكون شكله؟ هل
+
+38
+00:03:21,390 --> 00:03:26,710
+بيكون I maximum Sin Omega T؟ هل هيكون ناقص و إذا
+
+39
+00:03:26,710 --> 00:03:31,450
+كان ناقص جدش الزاوية؟ و هل هيكون زائد و إذا زائد
+
+40
+00:03:31,450 --> 00:03:36,500
+جدش الزاوية؟تمام؟ و بعدين شغلت تانية قولنا هادي
+
+41
+00:03:36,500 --> 00:03:41,840
+ايش وقلنا قد هب هادي؟ قولنا I maximum بتسوى V
+
+42
+00:03:41,840 --> 00:03:46,860
+maximum على R مظبوط ولا لأ؟ او هادي بتسوى V
+
+43
+00:03:46,860 --> 00:03:51,920
+maximum على XL مظبوط ولا لأ؟ و هادي بتسوى V
+
+44
+00:03:51,920 --> 00:03:57,620
+maximum على إيش؟ على XC على اعتبار هادي O هادي
+
+45
+00:03:57,620 --> 00:04:03,390
+إيش؟ إيش وحدتها هادي؟برضه او و هذه او اذا انا
+
+46
+00:04:03,390 --> 00:04:06,290
+بتعامل مع مقاومة و قولنا هذه مقاومة المقاومة اللي
+
+47
+00:04:06,290 --> 00:04:11,450
+احنا نعرفها فهذه مقاومة ال impactor سميتها ال
+
+48
+00:04:11,450 --> 00:04:15,830
+reactance تمام؟ و هذه سميتها ال reactance بس هذه
+
+49
+00:04:15,830 --> 00:04:18,570
+سميتها ال impactive و هذه اسمها capacitive و
+
+50
+00:04:18,570 --> 00:04:22,290
+اتفقنا برضه عشان نعمل matching مع ال DC circuits
+
+51
+00:04:22,290 --> 00:04:25,510
+انه في ال DC circuits هذه بتساوي صفر و هذه بتساوي
+
+52
+00:04:25,510 --> 00:04:29,850
+مالة نهايةعشان كده بنقولنا for long time الملف
+
+53
+00:04:29,850 --> 00:04:33,110
+عبارة عن short circuit و for long time الcapacitor
+
+54
+00:04:33,110 --> 00:04:39,110
+open circuit و open circuit بتاعنا المقاومة
+
+55
+00:04:39,110 --> 00:04:44,190
+بيستخدمها لنهاية تمام الآن بقوللي هدول كده
+
+56
+00:04:44,190 --> 00:04:50,910
+متواصلين شباب توالي لو جيت انا بدي احط voltmeter
+
+57
+00:04:50,910 --> 00:04:55,830
+بين طرفين هدول النقطين voltmeter
+
+58
+00:04:58,640 --> 00:05:01,760
+الـ Voltmeter ايش بيقيص هو؟ اي قيمة من الـAC
+
+59
+00:05:01,760 --> 00:05:05,640
+Circuit مشتفقنا الـR Mass Value صح ولا .. احنا لما
+
+60
+00:05:05,640 --> 00:05:09,280
+نقول الـVoltmeter بيقرأ 220 Volt و 220 Volt هدى
+
+61
+00:05:09,280 --> 00:05:13,980
+إيش هي؟ R Mass Value تمام؟ هنا الـR Mass Value على
+
+62
+00:05:13,980 --> 00:05:17,960
+الـR أنا بعرفها و الـR Mass تبعت الـL عرفتها و
+
+63
+00:05:17,960 --> 00:05:21,580
+الـR Mass تبعت الـC بعرفها هجيت بدي الـVoltmeter
+
+64
+00:05:21,580 --> 00:05:29,570
+إيش بيديه قيص نفترض شباب إنه Vأرمس تبع ال R تبع ال
+
+65
+00:05:29,570 --> 00:05:33,570
+R
+
+66
+00:05:33,570 --> 00:05:39,370
+تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع
+
+67
+00:05:39,370 --> 00:05:42,370
+ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R
+
+68
+00:05:42,370 --> 00:05:42,510
+تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع
+
+69
+00:05:42,510 --> 00:05:44,090
+تبع ال R تبع ال R تبع ال R تبع ال R تبع ال R تبع
+
+70
+00:05:44,090 --> 00:05:51,150
+ال R تبع ال R تبع ال R تبع ال R
+
+71
+00:05:56,290 --> 00:05:59,270
+ليش؟ بيقولي لأن هدى لما تكون اتنين هدى ممكن
+
+72
+00:05:59,270 --> 00:06:02,630
+ماتكونش اتنين طبعا احنا هنا ال maximum تبعها خلينا
+
+73
+00:06:02,630 --> 00:06:05,150
+نقول اتنين و شوية مظبوط ولا لأ؟ و هدى ال maximum
+
+74
+00:06:05,150 --> 00:06:08,190
+تبعها تلاتة و شوية او اربعة تصفر بيقولي انت لما
+
+75
+00:06:08,190 --> 00:06:12,490
+تكون هدى بتجمع هدى لما تكون maximum خليها هدى لو
+
+76
+00:06:12,490 --> 00:06:15,050
+كانت ال maximum بيقولي هدى بتكون اتنين هدى متكونش
+
+77
+00:06:15,050 --> 00:06:20,170
+تسعة و أصلا تتلاتةممكن تكون 1 ممكن تكون 2 زي 3
+
+78
+00:06:20,170 --> 00:06:23,410
+ممكن تكون 2 زي 1 ممكن تكون هذه سفر ممكن تكون سالب
+
+79
+00:06:23,410 --> 00:06:26,370
+لإن أنا عندي القيمة مرة بتكون موجة و مرة بتكون
+
+80
+00:06:26,370 --> 00:06:29,010
+سالب مرة بتكون maximum و مرة بتكون minimum إذا
+
+81
+00:06:29,010 --> 00:06:32,070
+عملتي تجمع مش جمع عادي زي لما كنا نجمع أربعة أو
+
+82
+00:06:32,070 --> 00:06:35,550
+تلاتة ممكن يكون سبعة وممكن يكون خمسة وممكن يكون لا
+
+83
+00:06:35,550 --> 00:06:38,730
+هيك ولا هيك بحسب الزوايا اللى بتعملها إذا كانت
+
+84
+00:06:38,730 --> 00:06:43,250
+vector فلما أحطه في work meter بيجمعليش جمع عادي
+
+85
+00:06:43,250 --> 00:06:49,510
+وبالتالي لا أتوقع أنهاقرألي مجموع ال these على كل
+
+86
+00:06:49,510 --> 00:06:55,790
+واحد لحالي على كل واحد لحالي وانا هشوف كيف تابع
+
+87
+00:06:55,790 --> 00:06:59,890
+بيقول consider the circuit which consists of a
+
+88
+00:06:59,890 --> 00:07:04,530
+resistor an inductor and a capacitor زي ما
+
+89
+00:07:04,530 --> 00:07:09,770
+بتشايفين connected in series with an AC source let
+
+90
+00:07:09,770 --> 00:07:18,440
+هذي الصموعة المفروض تكون انا هذي كلها صموعةلت VR و
+
+91
+00:07:18,440 --> 00:07:24,780
+VL و VC بيكون الوزيع في بعض الأحيان خلال كل أنواع
+
+92
+00:07:24,780 --> 00:07:29,140
+هذه الـ V مش الماكسيمال عند لحظة ما طبعا لما اقول
+
+93
+00:07:29,140 --> 00:07:33,020
+عند لحظة مانعته هو حر بيقوللي بقدر اعرف او اقول
+
+94
+00:07:33,020 --> 00:07:37,560
+since they are connected in series the voltage
+
+95
+00:07:37,560 --> 00:07:41,920
+across the combination جميع عاديهذه الجامعة عادي
+
+96
+00:07:41,920 --> 00:07:44,960
+لكن بقدر اجمع حمضين زي تلاتة زي خمسة لأ هذي
+
+97
+00:07:44,960 --> 00:07:50,080
+الجامعة عاقنة باجمع vectors هذه V هذه بتثور VR زي
+
+98
+00:07:50,080 --> 00:07:56,620
+VL زي VC هذه V هي الجهود عند لحظة ما ماهياش الارمس
+
+99
+00:07:56,620 --> 00:08:00,420
+ولا هي ال maximum عند لحظة ما بالتالي هذه شباب
+
+100
+00:08:00,420 --> 00:08:02,440
+ممكن تكون zero ممكن تكون positive ممكن تكون
+
+101
+00:08:02,440 --> 00:08:06,960
+negativeهذه كذلك .. لما تكون هذه maximum .. هل
+
+102
+00:08:06,960 --> 00:08:10,400
+بالضرورة تكون هذه maximum؟ لأ، ولا هذه بتكون زيها،
+
+103
+00:08:10,400 --> 00:08:12,540
+يعني ممكن تكون هذه maximum، هذه تكون سالب، وهذه
+
+104
+00:08:12,540 --> 00:08:16,500
+صفر، وبالتالي الجميع بيطلع مشكلة، هذه ال maximum،
+
+105
+00:08:16,500 --> 00:08:20,830
+هذه السالب نقصت، وهذه zero ماأثرتشكيف اتعامل معها
+
+106
+00:08:20,830 --> 00:08:23,970
+قال لي احنا انت اتعلمت احكاية ال vectors اسألك
+
+107
+00:08:23,970 --> 00:08:28,650
+طبعا انت ممكن تعملها معادلة جبرية و تتعامل معاها
+
+108
+00:08:28,650 --> 00:08:31,910
+كرياضيات بس بتكون دي معادلة جبرية عشان فيها sine و
+
+109
+00:08:31,910 --> 00:08:33,830
+cosine و انتوا عارفين ال sine و ال cosine في
+
+110
+00:08:33,830 --> 00:08:36,650
+الجبره بيغلب لإنه التعامل معاه من السهل لما يكون
+
+111
+00:08:36,650 --> 00:08:39,050
+في عندك variable جوه ال sine وجوه ال cosine بيكون
+
+112
+00:08:39,050 --> 00:08:43,150
+فيه شوية صعوبة هي دي امين هيها احنا عارفينها
+
+113
+00:08:47,350 --> 00:08:54,390
+هذه المعادلة يجب أن تكون متساوية
+
+114
+00:08:54,390 --> 00:09:02,510
+لـ voltage من مصدر الهاتفبتساوي I I هذه المفروض R
+
+115
+00:09:02,510 --> 00:09:08,230
+I sine Omega T بكتر أكتر بهيك ليش؟ بقول إن هذي
+
+116
+00:09:08,230 --> 00:09:13,990
+جهدها مع التيار انفذ مظبوط ولا لأ هذي بدي أحط زائد
+
+117
+00:09:13,990 --> 00:09:16,990
+بقع اتنين و هذي نقص بقع اتنين فسيصبح المعادلة شوية
+
+118
+00:09:16,990 --> 00:09:21,170
+معقدة جبريا عشان أحلها فبديش أحلها بالجبر بدي
+
+119
+00:09:21,170 --> 00:09:24,710
+أحلها بواسطة ال phase diagram كيه بدي أعمل ال
+
+120
+00:09:24,710 --> 00:09:29,170
+phase diagram؟ to solve this equationwe use the
+
+121
+00:09:29,170 --> 00:09:33,070
+phase diagram to give it phasors by letting the
+
+122
+00:09:33,070 --> 00:09:37,350
+phasor representing I to be along the horizontal
+
+123
+00:09:37,350 --> 00:09:40,590
+axis قال لي كيبك تشتغل قال لي دول موصلين على
+
+124
+00:09:40,590 --> 00:09:44,810
+التوالي صح ولا لأ في التوالي إيش المشترك؟ التيار
+
+125
+00:09:44,810 --> 00:09:49,570
+قال لي التيار ما هم مشترك حطه عند axis معينالتيار
+
+126
+00:09:49,570 --> 00:09:54,990
+بده يتأخر عن الجهود ولا بده يقدم ولا يكون مقدم ..
+
+127
+00:09:54,990 --> 00:10:00,330
+انا مقدم؟ انا مقدم .. انا مقدم .. انا مقدم .. انا
+
+128
+00:10:00,330 --> 00:10:00,850
+مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا
+
+129
+00:10:00,850 --> 00:10:03,230
+مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا
+
+130
+00:10:03,230 --> 00:10:03,510
+مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا
+
+131
+00:10:03,510 --> 00:10:05,430
+مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا
+
+132
+00:10:05,430 --> 00:10:06,530
+مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا
+
+133
+00:10:06,530 --> 00:10:06,710
+مقدم .. انا مقدم .. انا مقدم .. انا مقدم .. انا
+
+134
+00:10:06,710 --> 00:10:10,800
+مقدم ..بالتالي انا بدي افترض ما زال انا بدي احط
+
+135
+00:10:10,800 --> 00:10:16,300
+التيار عند حد معين بدي افترض ان التيار يجهد بينهم
+
+136
+00:10:16,300 --> 00:10:20,660
+زاوية فبقول لليتنج supposing the current passing
+
+137
+00:10:20,660 --> 00:10:24,400
+through each element which is the same due to
+
+138
+00:10:24,400 --> 00:10:27,520
+their series connection to be given as .. بقول ها
+
+139
+00:10:27,520 --> 00:10:32,980
+انت هتفرضيه انا اعتبرت التيار شباب بتأخر بزاوية
+
+140
+00:10:32,980 --> 00:10:37,400
+نقدرها Fiبتأخر هي افتراض طب جالي لو افتراض لو حطت
+
+141
+00:10:37,400 --> 00:10:40,620
+زايد بقوله ماتفرجش معاه حط زايد حط ناقص ماتفرجش
+
+142
+00:10:40,620 --> 00:10:43,180
+لأن ال Y هذه ممكن تطلع positive وممكن تطلع
+
+143
+00:10:43,180 --> 00:10:45,880
+negative لأن لو هذه negative بصير هذه positive
+
+144
+00:10:45,880 --> 00:10:51,210
+يعني ان انت هنا بالفرضية هذه بتقول Iلا بيكون in
+
+145
+00:10:51,210 --> 00:10:55,590
+phase مع جوجز إذا كانت Phi بالساوية سفر لا بيكون I
+
+146
+00:10:55,590 --> 00:11:00,810
+leads إذا كانت Phi سالبة أو I lags إذا كانت Phi
+
+147
+00:11:00,810 --> 00:11:05,190
+موجبة وبالتالي انت بالفرضية هذه بتحط كل احتمالات
+
+148
+00:11:05,190 --> 00:11:09,050
+اللي عندك بس المهم Phi جدش تطلع قعدنا نشوف كيف
+
+149
+00:11:09,050 --> 00:11:13,790
+تطلعWhere the constant phi is called the phase
+
+150
+00:11:13,790 --> 00:11:16,250
+angle between the current and the applied voltage
+
+151
+00:11:16,250 --> 00:11:22,290
+خليني أرسم شباب كيف بدي أرسم طبعا الآن المعلومة
+
+152
+00:11:22,290 --> 00:11:28,570
+اللي عندي بتقول الجهد والتيار في R in phase الجهد
+
+153
+00:11:28,570 --> 00:11:34,890
+والتيار في R in phase هذه I هذه زيها بدها تكون in
+
+154
+00:11:34,890 --> 00:11:43,870
+phaseVL دائما بتقدم لإن ال I بتأخر في ال A و هنا
+
+155
+00:11:43,870 --> 00:11:48,470
+VC تمام هجيتله العواقف المعادلة هديك بتحط و بتشتغل
+
+156
+00:11:48,470 --> 00:11:53,630
+Analytical بدي أنا أرسم الآن رسم هاي رسمتي إيه
+
+157
+00:11:53,630 --> 00:12:00,670
+بيقولي بيقولي حط I عدى برسمها أنا هاي I I أنا إيش
+
+158
+00:12:00,670 --> 00:12:05,690
+فرقته الشباب بتساوي I maximum sine Omega T نقص Phi
+
+159
+00:12:08,290 --> 00:12:12,370
+وميجا دي بتقول ان فاي تبعات الجهد بهذه المعادلة
+
+160
+00:12:12,370 --> 00:12:16,650
+بيقول اي بتتأخر عن الجهد بفاي اذا المفروض الفاي
+
+161
+00:12:16,650 --> 00:12:21,630
+وان الجهد هدا هو هاي الجهد هادي اي maximum هادي
+
+162
+00:12:21,630 --> 00:12:27,090
+زاوية فاي هيك الرقم بتقول انا عادي فرضي هادي لو
+
+163
+00:12:27,090 --> 00:12:31,620
+حطت زائد بتحط دي maximum هنا صح ولا لأطب تفرجيش
+
+164
+00:12:31,620 --> 00:12:36,660
+طبعا جالي هاي ال V maximum طيب جالي الآن كيف VR و
+
+165
+00:12:36,660 --> 00:12:41,980
+كيف VC VR و الطيار in phase اذا بتتوقع VR وين تكون
+
+166
+00:12:41,980 --> 00:12:50,000
+شكلها هايها هاي VR لأنها مع الطيار بيقولي VL انا
+
+167
+00:12:50,000 --> 00:12:55,340
+بعرف ان الطيار بتأخر عن ال VL 90 درجة اذا هاي VL
+
+168
+00:12:57,210 --> 00:13:01,130
+لأن الطيارة في الـVL بتأخر عن جودة الـVL بكسر 2
+
+169
+00:13:01,130 --> 00:13:07,850
+درجة في الـC الأكسر فالـVC قال لي خلاص لكنك رسمت
+
+170
+00:13:07,850 --> 00:13:11,610
+صار عندك ثلاثة vectors و بدك تجمعهم بقول عشان أجمع
+
+171
+00:13:11,610 --> 00:13:16,470
+هدول بيجمعوا بيصير vector واحد VL نقص VC مظبوط ولا
+
+172
+00:13:16,470 --> 00:13:21,230
+لأ؟ مع حادة تاخد جزء تربيع الـFIFA course و بتشغل
+
+173
+00:13:21,230 --> 00:13:24,310
+عليها إذن صارت القضية كالتالية
+
+174
+00:13:27,010 --> 00:13:33,230
+ما زال انت فرض فرضيتك high I maximum و high V
+
+175
+00:13:33,230 --> 00:13:34,630
+maximum
+
+176
+00:13:37,490 --> 00:13:42,990
+هذا الفرضية تبعتك بقولك انت فرضيتك التيار بيتأخر
+
+177
+00:13:42,990 --> 00:13:47,690
+عن وجود بزاوية مقدار الطي ليش بتأخر لو حطت سالب و
+
+178
+00:13:47,690 --> 00:13:50,810
+لو بقولنا ممكن احط موجب اه ممكن احط موجب ساعتها
+
+179
+00:13:50,810 --> 00:13:56,110
+هذا بيكون هنا مش اكتر بس يكن رسمة نتبع الكتاب تمام
+
+180
+00:13:56,110 --> 00:14:01,810
+بقول الان VR بيكون هيكبتفقين؟ لأنه المعلومة اللي
+
+181
+00:14:01,810 --> 00:14:06,730
+عندي ان VR و I are in phase، بيكونوا مع بعض، VL
+
+182
+00:14:06,730 --> 00:14:13,010
+بدي يتقدم ب90 درجة، هي 90 درجة، VC بدي يتأخر ب90
+
+183
+00:14:13,010 --> 00:14:20,180
+درجة، هي تأخر ب90 درجةذى الكلية هي المجموع تبع
+
+184
+00:14:20,180 --> 00:14:25,640
+التلاتة بس الآن المجموع تبع هذا و هذا و هذا ما هوش
+
+185
+00:14:25,640 --> 00:14:29,240
+عشرة زى ما توقعت بيته يعني لو كانت هذه زى ما قولت
+
+186
+00:14:29,240 --> 00:14:34,090
+اتنين وهذه تلاتة وهذه خمسة بتطلع عشرةلأن لو كانت
+
+187
+00:14:34,090 --> 00:14:37,890
+هذه اتنين وهذه ثلاثة وهذه خمسة وهذه ثلاثة اتنين
+
+188
+00:14:37,890 --> 00:14:39,270
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+189
+00:14:39,270 --> 00:14:40,410
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+190
+00:14:40,410 --> 00:14:50,450
+اتنين اتنين اتنين
+
+191
+00:14:51,080 --> 00:14:56,160
+بتصير عبارة عن اتنين و اتنين و يعيش بينهم زي قائمة
+
+192
+00:14:56,160 --> 00:14:59,840
+فصار هيك اتنين و هيك اتنين و بيصير عبارة عن اتنين
+
+193
+00:14:59,840 --> 00:15:04,540
+جزير اتنين اذا بطل عشرة تمام؟ اذا دايما عملية
+
+194
+00:15:04,540 --> 00:15:08,820
+الجمع زي ال vectors بتكون الجمع عالي تمام؟ كيف
+
+195
+00:15:08,820 --> 00:15:13,820
+تجمعها؟ كل هدول كيف شملهم انت بلقوا واحد و اعملهم
+
+196
+00:15:13,820 --> 00:15:19,420
+بلقوا واحدجهادة حافظ عليه VR هذا صار VL نقص VC
+
+197
+00:15:19,420 --> 00:15:23,320
+وصار هيك هذا V maximum هذا بيقدر تطلعه بقول اه هذا
+
+198
+00:15:23,320 --> 00:15:27,500
+في ثغورس مقدر اطبقه ولا لأ في ثغورس بقول اذا from
+
+199
+00:15:27,500 --> 00:15:35,470
+the diagram we conclude thatبتساوي VR تربية زائد
+
+200
+00:15:35,470 --> 00:15:41,770
+VL نقص VC تربية زى ما بتشوفين VN بتسويش VR زائد VL
+
+201
+00:15:41,770 --> 00:15:45,510
+زائد VC مع أن هم متواصلين على التيالي لكن ماسواش
+
+202
+00:15:45,510 --> 00:15:51,610
+الجمع العادىوتاني الزاوية اللى انا بدى ياها شباب
+
+203
+00:15:51,610 --> 00:15:55,790
+تاني الزاوية عشان اقعد في الطيار يتقدم ولا يتأخر
+
+204
+00:15:55,790 --> 00:16:01,070
+وجد ايش بيساوي مقابل عمو جاوز المقابل VL نقص VC
+
+205
+00:16:01,070 --> 00:16:10,030
+على VR تمام هيك انا بكون تقريبا حلت مشكلتي الان VM
+
+206
+00:16:10,030 --> 00:16:16,310
+هادي بيتعامل معاها جالي هاديمش هي أنا كتبتها لأ
+
+207
+00:16:16,310 --> 00:16:25,870
+كتبتها و هي راحت ال VR بتسوي I في R و هذه I في XL
+
+208
+00:16:25,870 --> 00:16:32,790
+و هذه I في XC I I I بتلع برا I ولا لأ بتصير V
+
+209
+00:16:32,790 --> 00:16:39,410
+maximum المفروض تطلع I الجزر التربيعي لR تربيعي
+
+210
+00:16:40,030 --> 00:16:51,730
+plus XL-XC لكل تربية هذه طبعا مكسيمة طلعت هيك قال
+
+211
+00:16:51,730 --> 00:16:58,050
+حلو هذه جهد وهذه أنبير هذه لازم تطلع أممظبوط او
+
+212
+00:16:58,050 --> 00:17:03,230
+لأ؟ هد يقوم طيب هي قوم يعني مقاومة كلية المقاومة
+
+213
+00:17:03,230 --> 00:17:06,150
+كلية في التوصيل على التوالي انا ماعرف انه R1 زي R2
+
+214
+00:17:06,150 --> 00:17:13,630
+زي R3 طيب بدل R1 هي R R2 هي XL وR3 هي XC لكن لما
+
+215
+00:17:13,630 --> 00:17:18,450
+جيه جماعة توميش ماطلتش R زي XL زي XC طلع R تربيع
+
+216
+00:17:18,450 --> 00:17:22,890
+زي XL-XC تربيع ده الهد يسميها ال Zالـ impedance
+
+217
+00:17:22,890 --> 00:17:27,610
+تمام تسموها ال impedance وهذه نفس العملية خلّينا
+
+218
+00:17:27,610 --> 00:17:32,590
+using the relations اللي كتبتها ان VR بتساوي I
+
+219
+00:17:32,590 --> 00:17:40,880
+maximum في Rو VL بتسوي I maximum في XL و VC بتسوي
+
+220
+00:17:40,880 --> 00:17:44,620
+I maximum في XC هدول القوانين أهم عاديين بس دايما
+
+221
+00:17:44,620 --> 00:17:48,900
+تستبدل ال R بال XL و بال XC لما تكون عندك L أو C
+
+222
+00:17:48,900 --> 00:17:53,420
+فصارت عندي V maximum بتسوي I maximum من R تربيع زي
+
+223
+00:17:53,420 --> 00:17:57,340
+هذه الكمية أدوها الرمز Z طبعا واضح هو هدية ال Z
+
+224
+00:17:57,340 --> 00:18:02,530
+إيش بديكون؟أو لأن هذه O وهذه O وهذه O فهي O where
+
+225
+00:18:02,530 --> 00:18:06,790
+Z equal the square root of R square plus the
+
+226
+00:18:06,790 --> 00:18:12,390
+square of the difference between XL and XC تمام و
+
+227
+00:18:12,390 --> 00:18:16,070
+Z is called the impedance of the circuit with its
+
+228
+00:18:16,070 --> 00:18:21,810
+unit is O the phase angle is now given و التنفع
+
+229
+00:18:21,810 --> 00:18:28,450
+هتولى أقول إن هي عبارة عن VL أصلا نخس VC على VRهك
+
+230
+00:18:28,450 --> 00:18:34,650
+أصرها هدى عبارة عن I XL وهدى I وهدى I I راعت مع I
+
+231
+00:18:34,650 --> 00:18:40,750
+راعت مع I صفت على العلاقة هدى الان
+
+232
+00:18:40,750 --> 00:18:48,410
+XL أنا بعرف إن XL بتسوى Omega في L و XC بتسوى واحد
+
+233
+00:18:48,410 --> 00:18:53,870
+على Omega في C إذا ليه بيحدد الزوايا في هدى بيقول
+
+234
+00:18:53,870 --> 00:19:02,010
+قيم L وR وC قيمل و a و c طيب انا عندى تلاتة لو انا
+
+235
+00:19:02,010 --> 00:19:05,550
+بدي بس تكون r ارجع للمعادلة الاولى او الدائرة
+
+236
+00:19:05,550 --> 00:19:08,030
+الاولى ايش معناته لا في عندك capacitor و لا في
+
+237
+00:19:08,030 --> 00:19:11,590
+عندك inductor معناته هدى السفر و هدى السفر صح لما
+
+238
+00:19:11,590 --> 00:19:17,660
+تكون هدى السفر و هدى السفر is it بالساوي اهعادي
+
+239
+00:19:17,660 --> 00:19:23,260
+لأن مافيش لا L ولا Z زي مقامة
+
+240
+00:19:23,260 --> 00:19:26,640
+لأنها ممكن تسوي R هذه واحدة تراب وهذه واحدة تراب
+
+241
+00:19:26,640 --> 00:19:31,920
+فتقول لي لو كانت ال XL صفر وال XC صفر يعني لا L
+
+242
+00:19:31,920 --> 00:19:36,040
+موجودة ولا C موجودة ال Z هي R ارجعت لدائرتك الأولى
+
+243
+00:19:36,040 --> 00:19:40,640
+ففي دائرتك الأولى جديش كلمة Phiمش كانوا in phase
+
+244
+00:19:40,640 --> 00:19:45,000
+يعني قال دي في زاوية بينهم zero قال لو هذه ساوية
+
+245
+00:19:45,000 --> 00:19:48,480
+هذه مش بتصير صفر واش الزاوية اللي كانها صفر صفر
+
+246
+00:19:48,480 --> 00:19:55,580
+اذا five تطلع صفر صحطيب قال لي لو مافيش عندك لا R
+
+247
+00:19:55,580 --> 00:20:02,320
+ولا X ولا كاباسيتر لا R ولا كاباسيتر الصح ان
+
+248
+00:20:02,320 --> 00:20:05,760
+الفايت تطلع تسعين درجة مظبوط ولا لأ الفايت تطلع
+
+249
+00:20:05,760 --> 00:20:11,380
+تسعين قال لي هذه السفر صار تاني زاوية مال نهاية
+
+250
+00:20:11,380 --> 00:20:17,720
+ايش الزاوية اللي تانها مال نهاية تسعينهي 90 صح طيب
+
+251
+00:20:17,720 --> 00:20:23,700
+هذه صفر وهذه صفر هذه صفر وهذه صفر جاني ال Z XL
+
+252
+00:20:23,700 --> 00:20:28,840
+برضه صح ال Z ممكن تجي على ال XL وقت ايش لما يكون
+
+253
+00:20:28,840 --> 00:20:34,540
+لا في عندك R ولا في عندك capacityطيب ليه عندك R و
+
+254
+00:20:34,540 --> 00:20:38,420
+ليه عندك Inductor؟ مافيش عندك إلا capacitor تتوقع
+
+255
+00:20:38,420 --> 00:20:43,100
+زي دي إيش تساوي؟ XC هذي مش موجودة و هذي مش موجودة
+
+256
+00:20:43,100 --> 00:20:47,840
+زي دي هي XC، منطقي فبالزاوية بيقول يصير زائد بيع
+
+257
+00:20:47,840 --> 00:20:51,460
+اتنين، إذن الزاوية لازم تكون ثالث تسعين، هي ملا
+
+258
+00:20:51,460 --> 00:20:56,950
+نهايةتمام تسعين بس عشاس انه انا هذه مش موجودة
+
+259
+00:20:56,950 --> 00:21:00,930
+بالسالب سالب ملا نهاية اذا الزاوية سالب تسعين
+
+260
+00:21:00,930 --> 00:21:04,470
+وانتوا عارفين رسمة التان اذا كنتوا ذاكرينها في
+
+261
+00:21:04,470 --> 00:21:08,350
+رسمة الكلكولات موجودة asymptotes دايما عليها عند
+
+262
+00:21:08,350 --> 00:21:11,410
+كل تسعين درجة في asymptotes عند التسعين دايما
+
+263
+00:21:11,410 --> 00:21:17,450
+بتكون ملا نهاية لانوصين والكوسين تمامfrom the last
+
+264
+00:21:17,450 --> 00:21:19,890
+two equations we conclude that الكلام اللي انا
+
+265
+00:21:19,890 --> 00:21:23,950
+حكيته بقولي اول حاجة if the circuit consists only
+
+266
+00:21:23,950 --> 00:21:28,470
+of a resistor بس فيه resistor ذهبتنا الأولى with
+
+267
+00:21:28,470 --> 00:21:32,590
+the source يعني لا XL موجودة ولا XC موجودة we have
+
+268
+00:21:32,590 --> 00:21:37,930
+Z بتساوي R امين منطقي لازم Z بتساوي Rand the phase
+
+269
+00:21:37,930 --> 00:21:47,050
+angle is zero that is I and V are in phase بيقول
+
+270
+00:21:47,050 --> 00:21:50,810
+if the circuit consists only of an inductor بس
+
+271
+00:21:50,810 --> 00:21:54,950
+inductor إذا أن I لازم تكون lags لازم تتأخر 90
+
+272
+00:21:54,950 --> 00:22:01,040
+درجةبقولي اول حاجة R O X C صفر اذا A Z بتساوي X L
+
+273
+00:22:01,040 --> 00:22:05,080
+and the phase angle is 90 degree لما في هذه الحالة
+
+274
+00:22:05,080 --> 00:22:08,440
+تاني الزاوية equal infinity and this mean that the
+
+275
+00:22:08,440 --> 00:22:15,380
+angle is Pi over 2 that is I lags behind V by 90
+
+276
+00:22:15,380 --> 00:22:20,340
+degreeإذا كان السيركيت موجود فقط من مصدر كباسيطار
+
+277
+00:22:20,340 --> 00:22:25,740
+مع المصدر يعني لا R موجودة و لا XL موجودة نحن
+
+278
+00:22:25,740 --> 00:22:30,980
+لدينا Z بتساوي XC و الانجل الفيز هو نقل من 90 درجة
+
+279
+00:22:30,980 --> 00:22:35,950
+يعني I تدفع V من 90 درجةقال الان التلاتة موجودين
+
+280
+00:22:35,950 --> 00:22:40,510
+طيب ايش بدي يسوي الطيارة؟ بدي يكون مع ولا lags ولا
+
+281
+00:22:40,510 --> 00:22:45,170
+reads؟ قاللي مع صعب لأنه ممكنش مع انا لا موجود، لا
+
+282
+00:22:45,170 --> 00:22:48,370
+X الموجود ولا X موجود، فأولا هذه ال three موجودين،
+
+283
+00:22:48,370 --> 00:22:51,830
+إذا ممنوع يكون in طيب قولي طيب lags ولا reads؟
+
+284
+00:22:51,830 --> 00:23:01,280
+بقول ال leadsصفة الـC والـLegs صفة الـL بقول إذا
+
+285
+00:23:01,280 --> 00:23:07,580
+الـC أكبر المفروض هي اللي تفرض صفاتها إذا الـC هي
+
+286
+00:23:07,580 --> 00:23:12,600
+أكبر المفروض تفرض صفاتها إيه صفتها؟ ان الـI leads
+
+287
+00:23:12,600 --> 00:23:19,870
+بس في حد شركة بيفرض كل شروطه؟ لاكل مكان مصيبه اكتر
+
+288
+00:23:19,870 --> 00:23:26,410
+في الشركة بفرض شروط اكتر هجيه شي شركة اذا ال XC
+
+289
+00:23:26,410 --> 00:23:32,670
+اكبر من ال XL الشرط الاول انه I لازم leads تلفض
+
+290
+00:23:32,670 --> 00:23:36,170
+الشرط التاني 90 درجة بيروح ال XL بيقول لأ انا
+
+291
+00:23:36,170 --> 00:23:40,030
+اتنقل حصة بالضبط 90 درجة بيصير ممكن 40 درجة ممكن
+
+292
+00:23:40,030 --> 00:23:45,470
+30 درجة بحسب قداش حصته في ايش معناتها؟بقول in
+
+293
+00:23:45,470 --> 00:23:51,090
+general تلاتة موجودين if xL أكبر من xC شروط منها
+
+294
+00:23:51,090 --> 00:23:57,650
+تنفرج ال L شروط ال L انه I lags the phase angle is
+
+295
+00:23:57,650 --> 00:24:05,320
+positive and I lags behind V 90 درجةلأ بزاوية فاي
+
+296
+00:24:05,320 --> 00:24:10,040
+مين بيديه يحصل بها في قيم xl و قيم xc و قيم r in
+
+297
+00:24:10,040 --> 00:24:13,820
+the other hand if xl هي الجميلة و xc البعيدة
+
+298
+00:24:13,820 --> 00:24:18,140
+الكبيرة the phase angle is negative and I leads V
+
+299
+00:24:18,140 --> 00:24:24,720
+بس الصفة ال C هي السائدة وبالتالي بيكون ال I leads
+
+300
+00:24:24,720 --> 00:24:32,420
+لكن بزاوية مش 90 درجة طيببقولي شغلتارتا بقولي انت
+
+301
+00:24:32,420 --> 00:24:39,640
+قولتلي تو لو ما يكون ال xc و ال xl مش موجودين احنا
+
+302
+00:24:39,640 --> 00:24:49,020
+قولنا z بتساوي r تغير بيئة plus xl نقص xc square
+
+303
+00:24:50,130 --> 00:24:52,670
+هجت لا هادي موجودة ولا هادي موجودة لان ليس زي ذات
+
+304
+00:24:52,670 --> 00:24:56,950
+او ار طب ماكنش زي ذات برضه بيسوي ار لما هادي و
+
+305
+00:24:56,950 --> 00:25:00,630
+هادي تساوي بعض ولا لأ اذا بيطلع ا بيقول لو هادي
+
+306
+00:25:00,630 --> 00:25:05,970
+سوى هادي احنا قولنا لو واحدة تغلب التانية اميخلاص
+
+307
+00:25:05,970 --> 00:25:09,390
+واحدة بتفرض شروطها فبتنين تساوى بقولوا واحدة بتفرض
+
+308
+00:25:09,390 --> 00:25:12,250
+شروطها مين ساعتها البني فرد اللي قاعد أقولك أنا
+
+309
+00:25:12,250 --> 00:25:15,730
+معاناك وانت قاعد انت حرين انا بصير وانا بفرد شروطي
+
+310
+00:25:15,730 --> 00:25:21,730
+بصيروا in phase في هذه الحالة بنتان الفاية بتساوي
+
+311
+00:25:21,730 --> 00:25:24,190
+XL-XC
+
+312
+00:25:25,680 --> 00:25:28,040
+إذا التنين صفر، حاجة ما هو هي أنا حرة، مافيش
+
+313
+00:25:28,040 --> 00:25:31,860
+غيرها، هدول موجودين لكن بيصاروا بعيد، برضه الـR
+
+314
+00:25:31,860 --> 00:25:36,240
+صارت تانية زائرة صفر وصاروا in phase، إذن أنا
+
+315
+00:25:36,240 --> 00:25:41,180
+حالتين R بتفرض شروطها، إما لما يكون التنين غايبين
+
+316
+00:25:41,180 --> 00:25:45,380
+أو التنين موجودين وبيناطحوا بعيد، جات بعيد، بتنفرض
+
+317
+00:25:45,380 --> 00:25:51,500
+بشروطهابقولي وين XL بتسوي XC؟ The phase angle is
+
+318
+00:25:51,500 --> 00:25:55,460
+again zero in this case and the impedance equals
+
+319
+00:25:55,460 --> 00:25:59,140
+the resistance R and the current has its peak
+
+320
+00:25:59,140 --> 00:26:03,420
+value بيقولي أنت تقوى حقا I maximum بتسوي V
+
+321
+00:26:03,420 --> 00:26:11,160
+maximum على Z هذي Z هيها هذي بتزيد دمها يتجلهذه
+
+322
+00:26:11,160 --> 00:26:14,860
+أقل قيمة لها R لأنه ذائد هذين لما يروحوا يصير هذه
+
+323
+00:26:14,860 --> 00:26:19,240
+قليلة معناته عندما XL بيساوي XC هذه بتكون أكبر
+
+324
+00:26:19,240 --> 00:26:24,600
+قيمة لها بيكس value بيقول when XL بيساوي XC then
+
+325
+00:26:24,600 --> 00:26:28,360
+the phase angle Phi equal to zero in this case the
+
+326
+00:26:28,360 --> 00:26:31,380
+impedance equals the resistance and the current
+
+327
+00:26:31,380 --> 00:26:36,740
+has its peak value given byعلى R على زد اللي ساوية
+
+328
+00:26:36,740 --> 00:26:41,780
+R V maximum على R بقول عند هذه النقطة بقول الدائرة
+
+329
+00:26:41,780 --> 00:26:46,680
+صار فيها resonance رانين اذا الرانين بيحصل وقت ايش
+
+330
+00:26:46,680 --> 00:26:52,500
+لما XL تساوي XC بتكون التياث صار peak احنا هناخده
+
+331
+00:26:52,500 --> 00:26:58,010
+المرة الجايةالفرقنسية اللي بتدعى رمزه بالرمز Omega
+
+332
+00:26:58,010 --> 00:27:02,490
+Note at which this occurs is called the resonance
+
+333
+00:27:02,490 --> 00:27:09,310
+يعني بيقول لي لما XL تسوى XC XL تسوى XC صار في
+
+334
+00:27:09,310 --> 00:27:14,290
+عندك طيار وصل قيمته لغمة أو Z بتسوى A قاللي مش هذه
+
+335
+00:27:14,290 --> 00:27:18,630
+Omega L و هذه 1 على Omega Cبتقدر يجيبلي omega
+
+336
+00:27:18,630 --> 00:27:23,210
+بقوله بقدر اجيبها اذا وقتيش oxa بتساوي xc لما
+
+337
+00:27:23,210 --> 00:27:26,970
+omega تساوي هنا omega not بساوية على الجزر
+
+338
+00:27:26,970 --> 00:27:32,930
+التربيهي على Lc اذا لما omega بتساوي الجزر
+
+339
+00:27:32,930 --> 00:27:36,670
+التربيهي على Lc بقول هنا صرفي عندي resonance omega
+
+340
+00:27:36,670 --> 00:27:39,930
+not عملتها فهذه هي omega not هذه هو ال frequency
+
+341
+00:27:39,930 --> 00:27:43,550
+تبع ال resonance زي ما المرة دي انا حكيتلكم انا
+
+342
+00:27:43,550 --> 00:27:47,770
+كيف بدي اغير عليه طبعا في اي دائرة استقبالإذا
+
+343
+00:27:47,770 --> 00:27:54,770
+دائرة الكهربائية ساوة دائرة جاية من برا بصي في
+
+344
+00:27:54,770 --> 00:27:58,390
+عندك peak وبالتالي الـpeak ده بترصده بيكون مصمم
+
+345
+00:27:58,390 --> 00:28:01,610
+انك ترصد انت قيمة معينة بيكون عندك peak وبتدخل
+
+346
+00:28:01,610 --> 00:28:05,270
+الموجة جوا دائرة الكهربائية بتستقبلها وبتحولها
+
+347
+00:28:05,270 --> 00:28:11,990
+عشان في الأجهزة يستقبلوا اكتر من موجة بيكون لازمهم
+
+348
+00:28:11,990 --> 00:28:16,510
+هاجي تكون متغيرةفي الراديو الشغلة السهلة اللى
+
+349
+00:28:16,510 --> 00:28:19,870
+انتوا دايما تعرفوها لما تغير من موجة لموجة هذه
+
+350
+00:28:19,870 --> 00:28:24,010
+بتتغير شباب ال C بتتغير لما تغير من موجة لموجة
+
+351
+00:28:24,010 --> 00:28:28,610
+بيغيروا ال C بيقول لما تغير ال C بيصير ال radio
+
+352
+00:28:28,610 --> 00:28:33,490
+تبعك ال frequency ال resonance frequency بتغير انت
+
+353
+00:28:33,490 --> 00:28:39,640
+بدك موجةال BBC بتجيبها، بتدلك تغيّر لما تصير Omega
+
+354
+00:28:39,640 --> 00:28:45,560
+Nord تبعات الراديو بيصير Matching لتبعات ال BBC
+
+355
+00:28:45,560 --> 00:28:49,720
+بتجيبك عشان كده بيكونوا حاطين ع الشريط أكم ميجا
+
+356
+00:28:49,720 --> 00:28:54,880
+هيرز و أكم كيلو هيرز و الشغلات هذه، هجيب ده تبعد
+
+357
+00:28:54,880 --> 00:28:59,850
+تبعتكتمام؟ وانت بيقوله انه انا برضه بفعل هذه
+
+358
+00:28:59,850 --> 00:29:04,310
+الموجة انتش بتساوي لما تغيّر من محطة لمحطة بتخلي
+
+359
+00:29:04,310 --> 00:29:10,070
+رانين دائرة الراديو تبعتك بتساوي رانين او تودد
+
+360
+00:29:10,070 --> 00:29:14,090
+الموجة اللي بدك تستقبلها اول ما يصير matching بتخش
+
+361
+00:29:14,090 --> 00:29:17,910
+الموجة و بتستقبلها و بتحولها لصوت و بتعملها لأن
+
+362
+00:29:17,910 --> 00:29:21,270
+الصوت بيكون محمل ب electromagnetic waves و بنتعامل
+
+363
+00:29:21,270 --> 00:29:27,860
+معها على هذا الأساسالـ C .. لأ .. اه .. انت الـ C
+
+364
+00:29:27,860 --> 00:29:31,940
+.. انا كنت مفروض اني جيبت أسمة خلينا انا بحكي عن
+
+365
+00:29:31,940 --> 00:29:34,740
+الراديو القديم هلجيته؟ وبعدين الناس العملية بتعرف
+
+366
+00:29:34,740 --> 00:29:37,860
+الفكرة اشهر الفكرة تبعات الراديو القديم بيقول انت
+
+367
+00:29:37,860 --> 00:29:41,920
+كبسطر هذا هو، مظبوط؟ بليت ديوة بليت، لو عملته هيك،
+
+368
+00:29:41,920 --> 00:29:45,440
+جال ولا زاد؟ جال، ساعة الاريو تبقى الاريو جالت
+
+369
+00:29:45,440 --> 00:29:49,700
+فإيش الفكرة؟ انت بتعمل هيك، بيهدوا و بتوديهم هيك
+
+370
+00:29:49,700 --> 00:29:55,600
+هيك، تمام؟ فانت لما تعمل هيك بس كبسطر سفرفانت
+
+371
+00:29:55,600 --> 00:30:03,140
+بالظبط هي رسمتهم شباب بيعملوا الواح لو انتوا
+
+372
+00:30:03,140 --> 00:30:09,640
+تفتحوا راديو بيعملوا نص ديسك هي نص ديسك بالظبط
+
+373
+00:30:09,640 --> 00:30:14,740
+مجمعين بالبرغ اللي بتلف فيه وفي نص ديسكات مش نص
+
+374
+00:30:14,740 --> 00:30:17,440
+ديسك بقى نص ديسك ونص نص ديسك وها وها كده يعني لو
+
+375
+00:30:17,440 --> 00:30:21,380
+اجيب انا ورقة وورقة وورقة وورقةبس عبارة عن كل ورقة
+
+376
+00:30:21,380 --> 00:30:26,380
+عبارة عن نص ديسك هذه بتروح و بتيجي بالملف بيكون
+
+377
+00:30:26,380 --> 00:30:31,580
+بتروح و تيجي تخش في نص ديسكات تانية يعني ديسك هيك
+
+378
+00:30:31,580 --> 00:30:34,960
+بيخش و بيروح تمام؟ بيروح هيك و بيجي هيك هذه بتكون
+
+379
+00:30:34,960 --> 00:30:38,540
+نص ديسك و نص ديسك فلما أنا أشتغل عليها بتكون ال C
+
+380
+00:30:38,540 --> 00:30:43,060
+بتتغير فتغييرك ل ال tuning's اللي مكتوب عليها
+
+381
+00:30:43,060 --> 00:30:47,590
+tuning هذه بيغير ال capacitorبتغير الكبسطور جوا
+
+382
+00:30:47,590 --> 00:30:51,350
+الدائرة فلما سيتي تغير تغيرت omega note ب FAB2L
+
+383
+00:30:51,350 --> 00:30:55,010
+تمام و بعد اذا تغيرت omega note انت غيرت من موجة
+
+384
+00:30:55,010 --> 00:30:58,650
+لموجة و بتقدر تستقبل هذا الشغلات
+
+385
+00:31:04,150 --> 00:31:09,170
+نشوف ال examples هذه examples سهلة مثاليا و بعدين
+
+386
+00:31:09,170 --> 00:31:16,050
+نحكي عن الامتحان نقول in a series RLC circuit طبعا
+
+387
+00:31:16,050 --> 00:31:21,050
+انتوا عارفين الامتحان النهائي شامل كل الشباتر و
+
+388
+00:31:21,050 --> 00:31:25,730
+بما انهالشباتل التلاتة الأولى أخدت ال first من ال
+
+389
+00:31:25,730 --> 00:31:29,070
+term والشباتل الخامسة التالية أخدت ال second من ال
+
+390
+00:31:29,070 --> 00:31:31,410
+term فكل واحد له حصة بعشان عشان عشان عشان عشان
+
+391
+00:31:31,410 --> 00:31:32,010
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+392
+00:31:32,010 --> 00:31:34,590
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+393
+00:31:34,590 --> 00:31:40,010
+عشان عشان عشان عشان عشان عشان عشان عشانبس عشان
+
+394
+00:31:40,010 --> 00:31:44,690
+يصير عادل بين الشباتر لازم ال final يكون الشباتر
+
+395
+00:31:44,690 --> 00:31:48,110
+الأخير وزرهم أكتر من الأولين عشان ولا شرط ليه يزعل
+
+396
+00:31:48,110 --> 00:31:52,710
+طبعا اما من الأول لأخر الشباتر عشان كده احنا بنركز
+
+397
+00:31:52,710 --> 00:31:55,830
+وانا دايما بنصح الطلاب لما يقراوا ال final يبدو من
+
+398
+00:31:55,830 --> 00:31:58,420
+الأخر مش من الأوللأن المادة الأخيرة لن تكون
+
+399
+00:31:58,420 --> 00:32:03,140
+مانقرأتش مرة وبالتالي يبدأ ويضمنها وبعدين يعمل
+
+400
+00:32:03,140 --> 00:32:06,000
+scanning على الأولى لأن هي الأولى تحتاج scanning
+
+401
+00:32:06,000 --> 00:32:10,920
+مراجعة بمعنى أخر مش دراسة من ال zero بطريقة اللي
+
+402
+00:32:10,920 --> 00:32:13,640
+انت بدكيها تشوف ايش الخبر بيقول او ايش المثال
+
+403
+00:32:13,640 --> 00:32:17,960
+بيقول in a series RLC circuit طبعا في الأسئلة اللي
+
+404
+00:32:17,960 --> 00:32:21,420
+بنجيبها هي سؤال final بعدين بجيب سؤال R لحاله سؤال
+
+405
+00:32:21,420 --> 00:32:24,990
+L لحاله سؤال C لحاله وبجيب هذاما هذا مش بالهم كلهم
+
+406
+00:32:24,990 --> 00:32:31,090
+ولا لأ؟ ادهوا فبقوللي هاي series RAC circuit we
+
+407
+00:32:31,090 --> 00:32:35,790
+had V maximum بيسوي one hundred and twenty volt R
+
+408
+00:32:35,790 --> 00:32:40,090
+ماتينيها two hundred ohm C equal four micro farad
+
+409
+00:32:40,090 --> 00:32:43,930
+L مش ماتيها عندك هتشوف طالبها ماتينيه ل frequency
+
+410
+00:32:43,930 --> 00:32:49,610
+Omega Omega تمام عشان بدي أجيب XL و XC بدي Omega
+
+411
+00:32:49,610 --> 00:32:54,280
+يا شباب مظبوط ولا لا؟ لإن هاي XLأوميجا L أو أوميجا
+
+412
+00:32:54,280 --> 00:32:56,880
+C مظبوطون لأ فأوميجا بتلزم طبعا هم يدّيك ال
+
+413
+00:32:56,880 --> 00:33:00,000
+frequency عشان تقول أوميجا بساوة 2 by F مش خضيه
+
+414
+00:33:00,000 --> 00:33:07,080
+هذي تقولي find L بدّو find L طب L كيف أجيبها؟ أنا
+
+415
+00:33:07,080 --> 00:33:14,810
+عشان أجيبها بدّي XL فأنا لأ لأن لو عرفت XLهو اذا
+
+416
+00:33:14,810 --> 00:33:18,250
+انا ماكنت أعرف فهو ممكن اجيب L كيف بدي اجيب XL؟ ده
+
+417
+00:33:18,250 --> 00:33:22,970
+اللي يجب اجيب XL إذا عرفت Z صح ولا لأ؟ او إذا عرفت
+
+418
+00:33:22,970 --> 00:33:25,310
+شغلات تانية؟ بقولي طبعا شو اللي يجب أن اكتبه؟ such
+
+419
+00:33:25,310 --> 00:33:30,510
+that the voltage across the capacitor lags behind
+
+420
+00:33:30,510 --> 00:33:35,130
+the applied voltage by 30 degreesبيقول بحيث انه
+
+421
+00:33:35,130 --> 00:33:41,730
+كان عنده الجهد على الكباسيتر بيتأخر عن الجهد الكل
+
+422
+00:33:41,730 --> 00:33:47,150
+ال 30 درجة لما تيجي تتعامل معاها شباب ال face
+
+423
+00:33:47,150 --> 00:33:49,590
+diagram مش ميتعامل معاه بدي انا عندي face diagram
+
+424
+00:33:49,590 --> 00:33:55,010
+بدي احفظهانه الطيار على ال X-axis اذا V تبعت ال R
+
+425
+00:33:55,010 --> 00:34:00,790
+وين؟ على ال X-axis انفزه الطيار بنثبته على ال X
+
+426
+00:34:00,790 --> 00:34:04,890
+-axis اذا الجهود تبع R على ال X-axis تبع L على ال
+
+427
+00:34:04,890 --> 00:34:09,090
+Y-axis لفوق تبع ال C على ال Y-axis لتحت هو جالي
+
+428
+00:34:09,090 --> 00:34:14,430
+هادي ومتغيروش المشكلة في ال .. هادي ال VR وهادي ال
+
+429
+00:34:14,430 --> 00:34:20,140
+VL وهادي ال VC ايش بقولي الآن؟ هاديأيه بتتأخر عن
+
+430
+00:34:20,140 --> 00:34:26,000
+الكلية بتبتين درجة زي كلية ما بتكون طب انا بدي في
+
+431
+00:34:26,000 --> 00:34:31,920
+في بين من ومين في بين I و V بين I و V إذا هي في
+
+432
+00:34:31,920 --> 00:34:34,840
+بتقدر تجيب في هلجيته ولا لا ما الستين بس بالسلف
+
+433
+00:34:34,840 --> 00:34:39,040
+عشان المربع الأخير مظبوط ولا لا او بقدر أقول هي زي
+
+434
+00:34:39,040 --> 00:34:45,620
+هذا هي تلات ميةممكن اعمل طبعا كل واحد طبعا خلها
+
+435
+00:34:45,620 --> 00:34:49,140
+اذا انا اذا عرفت في انا حلت كل المشكلة ليش لان
+
+436
+00:34:49,140 --> 00:34:55,240
+تاني الفي بتسوي XL-XC على R XC عرفها وR عرفها يبت
+
+437
+00:34:55,240 --> 00:35:01,540
+XL بدور عليها طبعا اذا بيقولليبقولوا الآن since
+
+438
+00:35:01,540 --> 00:35:05,420
+the angle phi is between the applied voltage and
+
+439
+00:35:05,420 --> 00:35:09,520
+the voltage across R يعني ع الطيار and since the
+
+440
+00:35:09,520 --> 00:35:13,980
+angle between Vr and Vc is تسعين هذه تسعين وهذه
+
+441
+00:35:13,980 --> 00:35:18,500
+تلاتين اذا هذه phi بتساوي ستين بالثانية بتساوي في
+
+442
+00:35:18,500 --> 00:35:24,440
+طلعناهاجالي اذا طلعت في ناو جيب xc و اجهزها xc
+
+443
+00:35:24,440 --> 00:35:27,180
+بتعرفها ما انت هي واحد على امجا سي و امجا اتنين
+
+444
+00:35:27,180 --> 00:35:30,820
+باي في ال frequency طلعتها هجي تجيب علاقة التاني
+
+445
+00:35:30,820 --> 00:35:35,960
+الفي تاني الفي بيسوي xl نقص xc على r هجي التاني
+
+446
+00:35:35,960 --> 00:35:40,440
+الفي التاني السالي بستين طلعتها تمام؟ xl بعرفهاش،
+
+447
+00:35:40,440 --> 00:35:44,760
+xc توي جاهزة و هيها و ال r معطية بقدر اجيب xl ولا
+
+448
+00:35:44,760 --> 00:35:51,560
+لأ؟ لما اجيب xlساعتها X المهيومد L إذا جيبت L وده
+
+449
+00:35:51,560 --> 00:35:55,120
+هو سؤال سهل إذا هذا سؤال بعتمد على ال phase
+
+450
+00:35:55,120 --> 00:35:58,800
+diagram انك ترسم ال phase diagram و تشتغل عليه كيف
+
+451
+00:35:58,800 --> 00:36:01,380
+ال phase diagram بتدور فيه بدل ما يقولك الزاوية
+
+452
+00:36:01,380 --> 00:36:08,700
+فيه يقولك X VC بتتأخر عن الجهد كله ب 30 درجة بدل
+
+453
+00:36:08,700 --> 00:36:11,400
+ما يقولك جديش الزاوية فيه ويقولك انت لحالك طلع
+
+454
+00:36:11,400 --> 00:36:16,960
+الزاوية فيهالمثال الوراق التقليدي نقول in a series
+
+455
+00:36:16,960 --> 00:36:23,080
+RLC circuit ال V maximum 150 volt طبعا شباب هذه
+
+456
+00:36:23,080 --> 00:36:26,780
+المعطية مرات ما نكتبهاش هذا احنا بندي دائرة
+
+457
+00:36:26,780 --> 00:36:28,420
+الدائرة هي كانت مرسومة في الامتحان
+
+458
+00:36:33,190 --> 00:36:37,590
+طبعا هنا ايش بيقول ليه؟ R جديش؟ R 425 Ohm مافيش
+
+459
+00:36:37,590 --> 00:36:45,410
+مشكلة C 3.5 مايكروفراد مافيش مشكلة هذه 1.25 هن
+
+460
+00:36:45,410 --> 00:36:49,170
+اللي مافيش مشكلة ال V maximum بيجيها هيك بقول V
+
+461
+00:36:49,170 --> 00:36:56,670
+بيساوي 150 Sine Omega T هل جيت في فاصمة زي هذه في
+
+462
+00:36:56,670 --> 00:37:01,600
+حالة برفاصة بيقول جديش R؟لما كل معطيات هي كل
+
+463
+00:37:01,600 --> 00:37:05,300
+معطيات في حد بالفاصلة يقول قداش R تمام يعني لما
+
+464
+00:37:05,300 --> 00:37:10,740
+يقولك هنا في المثال for the circuit shown و بس هجد
+
+465
+00:37:10,740 --> 00:37:16,040
+C قداش مش معطية و هنا المعطية V maximum قداش
+
+466
+00:37:16,040 --> 00:37:19,520
+بتاخدها منها مش واحد يقولك وين V maximum هي V
+
+467
+00:37:19,520 --> 00:37:23,800
+maximum فبعضها تكمل عملها في الامتحانات تمام إيش
+
+468
+00:37:23,800 --> 00:37:27,490
+بده؟طبعا الـ Omega ملطقة طبعا حتى Omega هذه ممكن
+
+469
+00:37:27,490 --> 00:37:34,150
+انا محطهاش هناك احط هنا 377 T و خلاص وبالتالي كل
+
+470
+00:37:34,150 --> 00:37:37,470
+مواطنة السؤال الآن في الرسمة موجودة ايش بده
+
+471
+00:37:37,470 --> 00:37:43,630
+Determine Zعشان تجيبها بدك XL و XC اللي يجب ان
+
+472
+00:37:43,630 --> 00:37:46,850
+تعرف ان XL بيسوي أمجا في L و XC بيسوي واحد على
+
+473
+00:37:46,850 --> 00:37:53,430
+أمجا C عشان فيما لو خربطه في القوانين ان L برج على
+
+474
+00:37:53,430 --> 00:37:58,010
+سلك في ال DC circuit اذا معناته سلك دي مش مقاومته
+
+475
+00:37:58,780 --> 00:38:02,560
+زيرو عشان كده بيكون omega في ال .. عشان يطلع سفر
+
+476
+00:38:02,560 --> 00:38:06,460
+ال capacitor اتذكر في ال DC circuit بيصير open
+
+477
+00:38:06,460 --> 00:38:10,000
+circuit يعني مقاومته ملا نهاية إذا لازم omega تكون
+
+478
+00:38:10,000 --> 00:38:12,620
+في المقاب لإن مرات الطالب بيخربط في المقام و في ال
+
+479
+00:38:12,620 --> 00:38:15,640
+bus يقول هادي بهادي فربطها بهذه الشغلة عشان
+
+480
+00:38:15,640 --> 00:38:20,410
+ماتنسهاشFind the maximum current in the circuit ال
+
+481
+00:38:20,410 --> 00:38:23,690
+maximum current يا شباب معظم سهل او V maximum بس
+
+482
+00:38:23,690 --> 00:38:30,370
+علش على Z على Z الكاملة تمام و بعدين بده ال phase
+
+483
+00:38:30,370 --> 00:38:34,440
+angle Phi هيهابعدين find the maximum voltage
+
+484
+00:38:34,440 --> 00:38:37,820
+across each element لما نقول each element ساعتها
+
+485
+00:38:37,820 --> 00:38:41,640
+ال V بيساوي I maximum في R ال V تبعت L بيساوي XL
+
+486
+00:38:41,640 --> 00:38:45,940
+في I و ال V تبعت C بيساوي XC في I و I مشترك
+
+487
+00:38:45,940 --> 00:38:49,420
+solution بقولي قبل ما تشتغل كل حاجة بدي اجيب ال
+
+488
+00:38:49,420 --> 00:38:54,340
+reactances XL بيساوي Omega في L طلعتها XC بيساوي
+
+489
+00:38:54,340 --> 00:38:59,520
+واحد على Omega C طلعتها هجيت مين بدي يغلب شباب ال
+
+490
+00:38:59,520 --> 00:39:06,590
+XCاذن بتتوقع صفات الـC اللي هو التيار بيتقدم، يعني
+
+491
+00:39:06,590 --> 00:39:09,970
+الزاوية لازم تكون سالبة، مظبوط ولا لا؟ من هنا، لكن
+
+492
+00:39:09,970 --> 00:39:14,710
+بقى كم زاوية؟ مش عارفين، لكن قطعا هنا الـXC أكتر،
+
+493
+00:39:14,710 --> 00:39:17,830
+حاجات اللي وجيت قولت الدائرة more inductive ولا
+
+494
+00:39:17,830 --> 00:39:21,730
+more capacitive؟ more capacitive، واضحة من القياهي
+
+495
+00:39:21,730 --> 00:39:25,010
+القيام وقتش انا مقدر اقاله لما يصير اوم مع اوم هي
+
+496
+00:39:25,010 --> 00:39:30,410
+اوم اوم هدي 478 هدي 758 اذا صفات ال capacitor هي
+
+497
+00:39:30,410 --> 00:39:34,970
+الغالبه وبالتالي لازم التيار ليه تزق وانا مفترض من
+
+498
+00:39:34,970 --> 00:39:39,350
+اول lags اذا نتسارب هي اللي بتحل المشكله هجيب ممكن
+
+499
+00:39:39,350 --> 00:39:45,150
+بقى لما تجيب تقدر تجيب زت طلعت 513 طبعا الان the
+
+500
+00:39:45,150 --> 00:39:49,890
+maximum current is given byI maximum بس هو V
+
+501
+00:39:49,890 --> 00:39:54,430
+maximum ع ال Z الكلية ال Z معروفة و ال V maximum
+
+502
+00:39:54,430 --> 00:40:00,620
+معروفة طلعناها الان ال face angle هي قانونهاXL نقص
+
+503
+00:40:00,620 --> 00:40:04,260
+XC على R وهذا كاركوليتر كله معروف بتطلع زي شوف
+
+504
+00:40:04,260 --> 00:40:09,660
+جديش عاد اتقدم ب 34 درجة ما اتقدمش ب 90 درجة لان
+
+505
+00:40:09,660 --> 00:40:13,440
+ال knowledge weak ان ال L موجود فرض التقدم طلع
+
+506
+00:40:13,440 --> 00:40:17,840
+نتيجة زي سالبة لكن مافقدرش يفضل 90 درجة فقط اخد من
+
+507
+00:40:17,840 --> 00:40:23,680
+90 34 درجة و الباجي اللي اخدها او العوضها هو L
+
+508
+00:40:23,680 --> 00:40:28,560
+تماملا تنسى أن السيركيت هو أكثر قواتية لتو
+
+509
+00:40:28,560 --> 00:40:35,120
+حكيناها، الوضع يدفع الوزيع المستخدم بسعر 34 درجة،
+
+510
+00:40:35,120 --> 00:40:39,040
+تمام، للمزيد من الوزيع على كل حاجة، الماكسيمام
+
+511
+00:40:39,040 --> 00:40:42,960
+الكليه 150 شباب صح؟بتجيب الـ maximum على كل واحدة
+
+512
+00:40:42,960 --> 00:40:46,100
+زي طبعا ما حكيتلكم أنه لما بيجي أجمع ال voltmeter
+
+513
+00:40:46,100 --> 00:40:49,120
+مش هيقرا الجمع عادي طبعا ال R نص وال V maximum
+
+514
+00:40:49,120 --> 00:40:55,240
+بيشبهوا بعض هذه طلعت 124 و هذه طلعت 138 و هذه طلعت
+
+515
+00:40:55,240 --> 00:41:00,840
+221 اجمحهم بتطلع 150 طبعا بتطلعش 150 مع أن هو ذاك
+
+516
+00:41:00,840 --> 00:41:04,820
+كله و المفروض تواصل توالي المفروض المنطق يقول
+
+517
+00:41:04,820 --> 00:41:08,400
+جميعه لكن عشان انا بتعامل معه كإن vectors بيكونش
+
+518
+00:41:08,400 --> 00:41:14,540
+الشغلة بهذا الحالةكما هذا السؤال لو شفته ال finals
+
+519
+00:41:14,540 --> 00:41:18,600
+في أكتر من امتحان سابق عارف هذا السؤال كتير زيه
+
+520
+00:41:18,600 --> 00:41:22,300
+مقرر مش هو نفسه يعني مقرر كتير يعني هو او اللي
+
+521
+00:41:22,300 --> 00:41:27,100
+جابله بيكون دائما محاط أسئلة بانا انا شغلتين تانية
+
+522
+00:41:27,100 --> 00:41:32,060
+بسيطتين بديش اعمله عشان نحكي عنه شوية على الامتحان
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a5f62aaad387ccd54e886b8c988c3a298d1adeb7
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8.srt
@@ -0,0 +1,1524 @@
+1
+00:00:10,260 --> 00:00:15,920
+بسم الله الرحمن الرحيم نستكمل ما تبقى من chapter 2
+
+2
+00:00:15,920 --> 00:00:21,000
+وجفنا عند conductors in electrostatic equilibrium
+
+3
+00:00:21,000 --> 00:00:24,600
+في بعض الخواص لل conductors في ال electrostatic
+
+4
+00:00:24,600 --> 00:00:31,540
+equilibrium  نتعرف عليها و نثبتها، الكوندكتور اتعرفنا 
+
+5
+00:00:31,540 --> 00:00:36,740
+عليه بال chapter الأول وقلنا أن هو أي مادة تسمح
+
+6
+00:00:36,740 --> 00:00:43,340
+بمرور الشحنات freely through it تمام، الآن بدي أنا
+
+7
+00:00:43,340 --> 00:00:47,560
+أشحن ال conductor لو كان الكورة insulator زي ما
+
+8
+00:00:47,560 --> 00:00:52,740
+أخدنا في مثال سابق وشحنتها ووزعتها جوا، وين الشحنة
+
+9
+00:00:52,740 --> 00:00:57,140
+أنا بحطها بتظلها كما هي، وبالتالي المرة دي اللي قلت
+
+10
+00:00:57,140 --> 00:01:00,420
+أن عندي conductor insulating sphere insulating
+
+11
+00:01:00,420 --> 00:01:04,340
+sphere sorry، شحنتها والشحنات اتوزعت على كل ال
+
+12
+00:01:04,340 --> 00:01:09,500
+volume، هذا لا يتعلق لو كانت الاسفير كوندكتر، لو أنا
+
+13
+00:01:09,500 --> 00:01:13,820
+حاطط شحنتين جوا الاسفير بضل هم مش قاعدين due to
+
+14
+00:01:13,820 --> 00:01:17,700
+the repulsive force between them، they will go far
+
+15
+00:01:17,700 --> 00:01:21,080
+away from each other تمام؟ إذا بيقول لي if a
+
+16
+00:01:21,080 --> 00:01:25,240
+conductor is charged، شحنة كوندكتر، its charges will
+
+17
+00:01:25,240 --> 00:01:28,760
+move away from each other، ليش؟ due to the
+
+18
+00:01:28,760 --> 00:01:32,300
+repulsive force between them، قوة التنافر اللي
+
+19
+00:01:32,300 --> 00:01:36,790
+بينهم هتبعدهم عن بعض، طبعا كوني أنا بدي أبعدهم مع
+
+20
+00:01:36,790 --> 00:01:40,970
+بعض أقصى مسافة ممكنة، وهذا بتقتصر اللي على السطح
+
+21
+00:01:40,970 --> 00:01:45,230
+الخارجي، بتقتصر اللي على السطح الخارجي، إذا مقولي for
+
+22
+00:01:45,230 --> 00:01:49,210
+the charges to be as far away from each other as
+
+23
+00:01:49,210 --> 00:01:52,130
+they can، they will move to the outer surface of
+
+24
+00:01:52,130 --> 00:01:57,010
+the conductor، إذا من هذه القاعدة بس تنتج إن الشحنات
+
+25
+00:01:57,010 --> 00:02:00,230
+في ال conductor لازم تكون موزعة على السطح الخارجي
+
+26
+00:02:00,230 --> 00:02:06,670
+فقط لأن ال repulsive force بتجبرهم يبعدوا عن بعض و
+
+27
+00:02:06,670 --> 00:02:10,270
+الأقصى 
+
+28
+00:02:10,270 --> 00:02:13,230
+مسافة ممكن يكونوا بعض عن بعض هو على ال outer
+
+29
+00:02:13,230 --> 00:02:19,420
+surface، تمام، أنا شحنته مش يتحركوا وتوزعوا بعيده عن
+
+30
+00:02:19,420 --> 00:02:23,220
+بعض، السقره بعد كده بطل في حركة للشحنات، ما زال
+
+31
+00:02:23,220 --> 00:02:26,360
+الشحنات بطل هتتحرك، بقول ال conductor صار في
+
+32
+00:02:26,360 --> 00:02:30,080
+equilibrium، electrostatic equilibrium يعني خلاص
+
+33
+00:02:30,080 --> 00:02:32,680
+مافيش حركة للشحنات، بيقول ال conductor with no
+
+34
+00:02:32,680 --> 00:02:35,860
+motion of charges، مافيش حركة للشحنات، are said to
+
+35
+00:02:35,860 --> 00:02:39,320
+be in electrostatic equilibrium، في هذه الحالة إذا
+
+36
+00:02:39,320 --> 00:02:42,240
+معناته لما أقول electrostatic equilibrium معناته
+
+37
+00:02:42,240 --> 00:02:47,710
+الشحنات مالها؟ واقفة، مافيش حركة لها، such conductors
+
+38
+00:02:47,710 --> 00:02:53,710
+have the following properties، في عندي عدة خواص بدي
+
+39
+00:02:53,710 --> 00:02:57,710
+أشرحها للكندكتر، ومش أي كندكتر، في ال electrostatic
+
+40
+00:02:57,710 --> 00:03:00,210
+equilibrium، أول واحدة توي حكيتها
+
+41
+00:03:02,690 --> 00:03:06,750
+بيقول لي any excess charge will reside entirely
+
+42
+00:03:06,750 --> 00:03:10,790
+on the outer surface of an isolated conductor، اللي
+
+43
+00:03:10,790 --> 00:03:13,550
+طبعا حاكيناها، إنه أي شحنة زيادة لما أشحن ال
+
+44
+00:03:13,550 --> 00:03:17,650
+conductor وين بتكون؟ قاعدة على السطح الخارجي، will
+
+45
+00:03:17,650 --> 00:03:22,530
+reside كليا on the outer surface of an isolated
+
+46
+00:03:22,530 --> 00:03:25,950
+conductor، يعني في أي conductor جالي جديش جوا فيه
+
+47
+00:03:25,950 --> 00:03:30,050
+شحنات؟ جديش جوا؟ مافيش شحنات، لأن الشحنات وين بتكون
+
+48
+00:03:30,050 --> 00:03:35,890
+على السطح الخارجي، طب سؤالي لأن أنا عندي solid
+
+49
+00:03:35,890 --> 00:03:40,390
+sphere، solid يعني مصمطة، مظبوط ولا لأ؟ كلها مصنوعة
+
+50
+00:03:40,390 --> 00:03:45,590
+من نحاس، إن جيت النحاس موزع على volume ولا على 
+
+51
+00:03:45,590 --> 00:03:51,490
+surface؟ على volume، لأنه مصمطة، حلوش، عندها الشحنات
+
+52
+00:03:51,490 --> 00:03:57,000
+موزعة على volume ولا على surface؟ على ال surface، يعني
+
+53
+00:03:57,000 --> 00:04:00,660
+بدي sigma ولا rho ولا lambda، لأنه ع ال surface
+
+54
+00:04:00,660 --> 00:04:05,940
+بالرغم إنه هي solid sphere لكن كون الشحنات فقط بتتوزع
+
+55
+00:04:05,940 --> 00:04:09,720
+على السطح، إذا أنا بتعامل the charge distributed
+
+56
+00:04:09,720 --> 00:04:13,080
+over the surface of the sphere and not through the
+
+57
+00:04:13,080 --> 00:04:16,880
+volume of the sphere، لأن أنا هكون دكتور، حلو طيب
+
+58
+00:04:16,880 --> 00:04:20,840
+احنا اتفقنا جديش هو الشحنات؟ Zero، طيب قلت قران
+
+59
+00:04:22,580 --> 00:04:26,960
+كحالة خاصة، بدي أجيب شدة المجال الكهربائي جوا،
+
+60
+00:04:26,960 --> 00:04:30,340
+الكورة يتطبق عليها قانون جاوس ولا لأ؟ بدي أختار
+
+61
+00:04:30,340 --> 00:04:34,000
+سطح جاوس جوا الكورة، أختارت، وجيبت إيه بالراوضة
+
+62
+00:04:34,000 --> 00:04:38,700
+وقلت له جوا جاتش فيه شحنات؟ صفر، إذا في مجال جوا،
+
+63
+00:04:38,700 --> 00:04:43,200
+إذا مافيش مجال، بيقول لي bearing this property in
+
+64
+00:04:43,200 --> 00:04:46,580
+mind،  بزن أنت جيت عندك شغلة وحطها في مخك، جوا ال
+
+65
+00:04:46,580 --> 00:04:50,800
+conductor فيه شحنات؟ هذه .. هذه مش موجودة، if a
+
+66
+00:04:50,800 --> 00:04:54,940
+Gaussian surface is constructed inside such a
+
+67
+00:04:54,940 --> 00:04:59,420
+conductor it will not enclose any charge، يعني qn
+
+68
+00:04:59,420 --> 00:05:04,460
+قداش؟ zero، using Gauss's law we conclude that ..
+
+69
+00:05:04,460 --> 00:05:07,910
+هاي جاس، سطح جاوس مافيش فيه جوا شحنات، بيقول لي the
+
+70
+00:05:07,910 --> 00:05:13,010
+electric field must be zero inside any conductor
+
+71
+00:05:13,010 --> 00:05:18,370
+بشرط يكون طبعا electrostatic equilibrium، هذا أي
+
+72
+00:05:18,370 --> 00:05:22,670
+سطح جاس هنا فش QA، طبعا أي سطح جاس فش QA، معناته أدى 
+
+73
+00:05:22,670 --> 00:05:26,630
+اللي بحكي عنه في الموضوع طبعا، إذا الخاصية التانية
+
+74
+00:05:26,630 --> 00:05:30,880
+اللي بدهاش اثبات بعد كده، أي conductor أيش ما يكون
+
+75
+00:05:30,880 --> 00:05:35,700
+شكله، جوا في مجال؟ مافيش مجال، هداني خاصية هدول خلاص
+
+76
+00:05:35,700 --> 00:05:39,160
+بدنا نستخدمهم في الحل حتى بدون إثبات الخاصية
+
+77
+00:05:39,160 --> 00:05:45,480
+التالتة، بيقول لي the electric field just outside a
+
+78
+00:05:45,480 --> 00:05:49,640
+conductor is always perpendicular to the surface
+
+79
+00:05:49,640 --> 00:05:53,140
+of the conductor and equal to، ويله قيمة، بيقول لي
+
+80
+00:05:53,140 --> 00:05:57,620
+شدة المجال just outside a conductor، ايش الفرق بين
+
+81
+00:05:57,620 --> 00:06:04,190
+outside و just outside؟ فرق المباشرة، بالظبط، مباشر
+
+82
+00:06:04,190 --> 00:06:07,170
+يعني هاج الغرفة مظبوط ولا لأ؟ هاجت واحد في جبالي 
+
+83
+00:06:07,170 --> 00:06:09,630
+outside الغرفة هادى ولا لأ؟ بقدر أقول عنه just
+
+84
+00:06:09,630 --> 00:06:13,590
+outside الغرفة لازم يكون على الباب واقف عشان أقول
+
+85
+00:06:13,590 --> 00:06:16,850
+عنه just outside، بيكون ملزق في الباب بس هو برا بس
+
+86
+00:06:16,850 --> 00:06:20,850
+من هنا على الباب من برا بقول عنه just outside، واضح
+
+87
+00:06:20,850 --> 00:06:24,390
+شباب، إذا كلمة just outside هو برا بس ملزق في السطح
+
+88
+00:06:24,390 --> 00:06:28,990
+تلزيق، تمام، بيقول لي المجال برا just outside على
+
+89
+00:06:28,990 --> 00:06:34,990
+السطح من برا لازم يكون عمودي ويساوي and equal to
+
+90
+00:06:34,990 --> 00:06:39,050
+sigma على y naught، لازم يكون عمودي وبيساوي sigma
+
+91
+00:06:39,050 --> 00:06:44,150
+على y naught، فبليش؟ بيقول لي شغلة سهلة، أنت بتقول
+
+92
+00:06:44,150 --> 00:06:48,590
+ممنوع يكون في حركة ولا لأ؟ مش ممنوع يكون في حركة
+
+93
+00:06:48,590 --> 00:06:52,590
+عشان في عندك electrostatic equilibrium، حلو؟ أنا
+
+94
+00:06:52,590 --> 00:06:58,980
+جيت هذا الجسم كنت بكتر، أنا حاطط هنا شحنات، تمام؟
+
+95
+00:06:58,980 --> 00:07:02,120
+عالسطح مش عالسطح الخارجي، هجيت لو كان في قد قوة
+
+96
+00:07:02,120 --> 00:07:07,000
+بهذا الشكل .. قوة بهذا الشكل بقدر تتحرك الشحنة؟
+
+97
+00:07:07,000 --> 00:07:12,660
+تقعد تتحرك هيك؟ تنجي من هنا لهنا؟ ليش؟ لأنه في وسط
+
+98
+00:07:12,660 --> 00:07:16,340
+عزل اللي هو الفرق، صح ولا لأ؟ لكن لو اجيت أنا
+
+99
+00:07:16,340 --> 00:07:18,840
+جريتها وقلت لها تنجي من هنا لهان؟ تنجر معايا لأن
+
+100
+00:07:18,840 --> 00:07:22,240
+هنا في طرق سالكة، صح ولا لأ؟ طيب بيقول ايه زي
+
+101
+00:07:22,240 --> 00:07:24,860
+معناته؟ عشان تضمن عدم وجود حركة ممنوع يكون في قوة
+
+102
+00:07:24,860 --> 00:07:29,150
+بهذا الشكل، فح؟ ممنوع يكون قوة بهذا الشكل .. تكون
+
+103
+00:07:29,150 --> 00:07:31,690
+قوة بهذا الشكل هي حرة .. تكون قوة بهذا الشكل ..
+
+104
+00:07:31,690 --> 00:07:35,810
+لأنه مش هتتخلق في كل أحوال .. لكن تكون قوة مماسية
+
+105
+00:07:35,810 --> 00:07:40,090
+.. هيك أو هيك .. مماس .. ممنوع تكون قوة مماسية ..
+
+106
+00:07:40,090 --> 00:07:45,430
+إذا القوة لازم تكون عمودية .. طبعا قوة مش بتيجي من
+
+107
+00:07:45,430 --> 00:07:52,760
+المجال، ذاكرين القانون .. F بتساوي Q في E، إذا هذه
+
+108
+00:07:52,760 --> 00:07:56,900
+عمودية، يعني هذه عمودية، صح ولا لا؟ ده الشحنات،
+
+109
+00:07:57,920 --> 00:08:01,060
+إيه كبير تتحرك؟ إذا فيها .. إذا موجودة في مجال،
+
+110
+00:08:01,060 --> 00:08:05,200
+بصير عليها قوة، إذا بيقول لي، المجال لازم يكون
+
+111
+00:08:05,200 --> 00:08:08,120
+عمودي، لأنه في مجال، لأنه فيه شحنات، إذا في مجال،
+
+112
+00:08:08,120 --> 00:08:09,780
+بيقول لي، إذا المجال لازم يكون عمودي، ممكن يكون
+
+113
+00:08:09,780 --> 00:08:12,760
+مماسي، لأن إذا كان مماسي، فتتحركش الشحنات، وهذا
+
+114
+00:08:12,760 --> 00:08:18,370
+بناقض مبدأ ال equilibrium تبعك، فبيقول لي، إذا لم
+
+115
+00:08:18,370 --> 00:08:22,550
+يكن هذا الحال عمودي، إذا لم يكن هذا الحال عمودي، إذا
+
+116
+00:08:22,550 --> 00:08:23,870
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+117
+00:08:23,870 --> 00:08:23,890
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+118
+00:08:23,890 --> 00:08:23,930
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+119
+00:08:23,930 --> 00:08:26,510
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+120
+00:08:26,510 --> 00:08:28,230
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+121
+00:08:28,230 --> 00:08:28,610
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+122
+00:08:28,610 --> 00:08:29,990
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+123
+00:08:29,990 --> 00:08:31,810
+لم يكن هذا حال عمودي، إذا لم يكن هذا حال عمودي، إذا
+
+124
+00:08:31,810 --> 00:08:36,980
+لم يكن هذا الحال، وهذا يفعل تجارب الإيكويلبريام
+
+125
+00:08:36,980 --> 00:08:39,740
+ويتحرك أنت تقول إيكويلبريام، بطل فيه إيكويلبريام
+
+126
+00:08:39,740 --> 00:08:43,540
+إذا الممنوع تكون مماسية، لازم تكون عمودية، إذا 
+
+127
+00:08:43,540 --> 00:08:46,420
+المجال لازم يكون عمودي just outside the conductor
+
+128
+00:08:46,420 --> 00:08:52,920
+واضح شباب، عدم عمديته وعدم كونه عمودي بيعمل
+
+129
+00:08:52,920 --> 00:08:56,180
+violation لإيش؟ للإيكويلبريام، واضح شباب، بصي فيها
+
+130
+00:08:56,180 --> 00:08:59,520
+حركة، طب كيف نويجي بتسجل على أبسل نوت، جالي بيجي
+
+131
+00:08:59,520 --> 00:09:06,000
+جربت جالي just outside، ذاكرين ال disk اللي كان نصف
+
+132
+00:09:06,000 --> 00:09:10,940
+قطره R؟ قلت هذا بصير infinite plane في حالتين، لا R
+
+133
+00:09:10,940 --> 00:09:16,220
+كبيرة، لا نقطة جريبة، صح؟ طيب لما تكون جريبة كتير بقدر
+
+134
+00:09:16,220 --> 00:09:19,620
+أعتبر ال plane infinite ولا لأ؟ ذاكرين النملة و
+
+135
+00:09:19,620 --> 00:09:23,900
+الفيل؟ هجات النملة بقدر أقول عنها وهي على دهر
+
+136
+00:09:23,900 --> 00:09:28,520
+الفيل just outside the surface of the elephant صح
+
+137
+00:09:28,520 --> 00:09:33,020
+ولا لأ؟ طيب في هذه الحالة سطح الفيل بقدر أعتبره
+
+138
+00:09:33,020 --> 00:09:36,170
+infinity plane ولا لأ؟ infinity plane، طيب إذا بدي
+
+139
+00:09:36,170 --> 00:09:39,610
+أطبق قانون جوز، بدي أجيب أنا ايش ايه تطلع لي ياسج
+
+140
+00:09:39,610 --> 00:09:42,350
+بقعدك في النوت، مش هي بتطلع معايا ولا بتطلعش؟ عشان
+
+141
+00:09:42,350 --> 00:09:46,090
+أطلع ايه عندي قانون كله يقول لي أنا أخد عنصر ومش
+
+142
+00:09:46,090 --> 00:09:51,010
+عنصر شغل صعب لأنه سطح الفيل ولا أي سطح غريب، صعب
+
+143
+00:09:51,010 --> 00:09:55,810
+كيف آخده، قال لي اعتبره infinity plane، طيب لما يكون
+
+144
+00:09:55,810 --> 00:09:58,030
+infinity plane، سطح جوز ايش بياخده؟
+
+145
+00:10:00,520 --> 00:10:02,960
+استغرقنا مع اتفاقنا متواجد المستخدمات بلا ننساه
+
+146
+00:10:02,960 --> 00:10:06,800
+إثباتنا إنه ممكن يديك نفس النتيجة لكن انساه لأنه 
+
+147
+00:10:06,800 --> 00:10:12,880
+تبع 6 أسطح، حلو، الآن بدي آجي أطبق قانون gauss عليه
+
+148
+00:10:12,880 --> 00:10:16,220
+بيقول لي let us now use Gauss's law، هدف المنطقة
+
+149
+00:10:16,220 --> 00:10:20,310
+الحمراء هو دهر الفيل أو the conductor، تمام؟ لما أقول
+
+150
+00:10:20,310 --> 00:10:23,430
+just outside، أنا قريب كتير عليه، صار infinite السطح
+
+151
+00:10:23,430 --> 00:10:27,490
+إذا أنا infinite أعتبره desk، أخدت سطح جاس الأصفر
+
+152
+00:10:27,490 --> 00:10:31,050
+شايفين، وهدا هجيت ذكرنا احنا لما أخدنا سطح جاخ وقولنا 
+
+153
+00:10:31,050 --> 00:10:34,190
+أنا بدي أعملها بحيث إنها بتظهر عليكم هجيت هادي 
+
+154
+00:10:34,190 --> 00:10:37,070
+بدي أحطها على دهر الفيل بدي أكون هادي وين راحت؟ 
+
+155
+00:10:37,070 --> 00:10:42,350
+جوا، جوا الفيل وهادي برا صح ولا لأ؟ هجيت الفيل أو 
+
+156
+00:10:42,350 --> 00:10:47,770
+هدا conductor، جوا فيه شحنات؟ في شحنة جوا؟ مش 
+
+157
+00:10:47,770 --> 00:10:51,690
+كنت دكتور مصمط أنت؟ طب ماكنت معايا ولا ماكنتش
+
+158
+00:10:51,690 --> 00:10:56,570
+معايا؟ لما كنت بقول لك كرة مصمطة من النحاس، شحنها، في
+
+159
+00:10:56,570 --> 00:11:01,970
+جوه شحنات؟ لأ، كنت دكتور، طيب هال gate هادي مش إنها 
+
+160
+00:11:01,970 --> 00:11:07,430
+تلات أسطح شباب لسه ولا صفرة؟ القاعدة اللي جوه في أي 
+
+161
+00:11:07,430 --> 00:11:20,670
+مجال بيخترقها؟ لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ 
+
+162
+00:11:20,670 --> 00:11:21,290
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ
+
+163
+00:11:21,290 --> 00:11:21,750
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ
+
+164
+00:11:21,750 --> 00:11:24,870
+لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ، لأ
+
+165
+00:11:24,870 --> 00:11:27,830
+لأ، لأ، لأ، لأ، لأ، لأ، في أي خاط مجال عليها؟ لأ، مش هي 
+
+166
+00:11:27,830 --> 00:11:31,610
+جوا أي conductor مافيش فيه مجال، إذا هنا مافيش مجال
+
+167
+00:11:31,610 --> 00:11:36,590
+طب وهذه عمودية، شايفين أي مشاجوننا عمودية؟ إذا صفرة،
+
+168
+00:11:36,590 --> 00:11:41,090
+هذه راحت وهذه راحت، دلت هذه إن هي هذه بس، هذه 
+
+169
+00:11:41,090 --> 00:11:46,550
+البرانية المجال بيخترقها باتجاه عمودي ولا لأ؟ إذا
+
+170
+00:11:46,550 --> 00:11:53,160
+ضربنا ال product راحت، إذا أي في أي قال له إنك عندما
+
+171
+00:11:53,160 --> 00:11:56,720
+دخلت هذه الورقة واتطلعت على سطح الجاسوس، وجدت جزء
+
+172
+00:11:56,720 --> 00:12:01,800
+من الورقة أو من سطح الفيل، هذه بس، بديها سيجما في
+
+201
+00:13:52,940 --> 00:13:57,620
+عندك تيار هادي القواص لا تنطبق بثباتها صحيحة تمامًا
+
+202
+00:13:57,620 --> 00:14:03,040
+أيش خواص الـ Conductor الشحنة بتكون شحنات وين؟
+
+203
+00:14:03,040 --> 00:14:07,520
+على السطح الخارجي هذه القاعدة على طول تجدها نتيجة
+
+204
+00:14:07,520 --> 00:14:12,160
+القاعدة الثانية إن جوا .. قديش المجال؟ Zero
+
+205
+00:14:12,160 --> 00:14:17,820
+الخاصية الثالثة بيقول المجال just outside is
+
+206
+00:14:17,820 --> 00:14:20,900
+normal to the surface and equal to sigma على 
+epsilon not خليني أنا أشرح حاجة كمان مرة وأثبتها
+
+207
+00:14:20,900 --> 00:14:24,700
+أثبتها كمان مرة أثبتناها قبل كده يا شباب نقول
+
+208
+00:14:24,700 --> 00:14:28,100
+أثبتناها كمان مرة أثبتناها قبل كده يا شباب نقول
+
+209
+00:14:30,700 --> 00:14:34,980
+هذا كوندكتر مشحون
+
+210
+00:14:34,980 --> 00:14:42,520
+طوله مشحون بتكون نصف قطر وإيه هجيت أنا بدي أجيب شدة
+
+211
+00:14:42,520 --> 00:14:46,480
+المجال الكهربائي عنده نقطة هذه وهذه بتبقى المسافة
+
+212
+00:14:46,480 --> 00:14:50,880
+R هجيت بقدر أقول هذي just outside ولا outside عشان
+
+213
+00:14:50,880 --> 00:14:55,210
+تصير just outside كده مش بيتبعد عن السطح إيه؟ إيه؟
+
+214
+00:14:55,210 --> 00:14:58,930
+لازم تكون هنا جربت صح؟ خليني أعتبرها outside مش
+
+215
+00:14:58,930 --> 00:15:01,430
+just outside بعدين هجيبها just outside النيح شباب
+
+216
+00:15:01,430 --> 00:15:04,490
+كيف بدي أجيب إيه الآن هو إيه بيقول لي لازم تكون
+
+217
+00:15:04,490 --> 00:15:07,650
+sigma على epsilon not إذا كانت just outside صح؟
+
+218
+00:15:07,650 --> 00:15:11,690
+أول بدي أجيبها outside أنا مش كروي ولا مش كروي؟
+
+219
+00:15:11,690 --> 00:15:16,050
+بقدر أطبق قانون جاوس؟ هالسطح جاوس ولا لا يا شباب؟
+
+220
+00:15:16,050 --> 00:15:19,630
+يلا نحل هشوف أكثر سطر بياخد معايا كيف بدي أحل؟
+
+221
+00:15:19,630 --> 00:15:27,590
+بقول التكامل المغلق لـ E.da بتساوي qn على إبسيلون
+
+222
+00:15:27,590 --> 00:15:32,210
+نوت أنا اشتغلت صح، اخترت سطح جاوس صح و بطبق على شكل
+
+223
+00:15:32,210 --> 00:15:36,010
+صح، ما عرفتها E is constant صح ولا لا والـ .product
+
+224
+00:15:36,010 --> 00:15:39,270
+الله سهّل عليها عدة مرات عملناها إذا E إيش ده اللي
+
+225
+00:15:39,270 --> 00:15:45,010
+هو التكامل إيه 4π by R تربيع مساحة سطح جاوس صح
+
+226
+00:15:45,010 --> 00:15:52,700
+ما جدش qn على إبسيلون نوت إيه ده؟ E بيتساوي capital Q
+
+227
+00:15:52,700 --> 00:15:57,060
+على 4π R تربيع Epsilon نوت هاي الجواب صح ولا لا
+
+228
+00:15:57,060 --> 00:16:01,640
+هادي E outside a conductor طب بديها just outside
+
+229
+00:16:01,640 --> 00:16:06,740
+إيش خلي في R صحيح إيه إيه صح just outside صح ولا
+
+230
+00:16:06,740 --> 00:16:15,200
+لا طب حلو هادي just outside طب إيش هي هادي لأ فيه Q
+
+231
+00:16:15,200 --> 00:16:19,920
+جواها وEpsilon نوت  ضرب سيجما
+
+232
+00:16:21,380 --> 00:16:26,360
+مش شحنة على سطح مش شحنة على سطح على مساحة وشحنة
+
+233
+00:16:26,360 --> 00:16:29,680
+على مساحة إيش بتدي سيجما هي طلعت سيجما على إبسيلون
+
+234
+00:16:29,680 --> 00:16:36,860
+نوت هي طلعت هذه سيجما زي ما أنا متوقع سيجما على
+
+235
+00:16:36,860 --> 00:16:43,120
+إبسيلون نوت إذا for any conductor E is normal and
+
+236
+00:16:43,120 --> 00:16:46,140
+equal sigma على إبسيلون نوت هذه قاعدة معروفة
+
+237
+00:16:52,180 --> 00:16:56,160
+ليش؟ أنت وقعدت تدخل وحكيت أنت هيك هنا ويعمل السطح
+
+238
+00:16:56,160 --> 00:17:02,740
+جاوس فيك، جوا فيه شحنة، حاجات أنت just outside
+
+239
+00:17:02,740 --> 00:17:07,460
+this room تمام؟ ورحت قلت أنا بدي أحوط كل الغرف
+
+240
+00:17:07,460 --> 00:17:10,770
+from إيدياتمام؟ قدرت إي دي كتب
+
+241
+00:17:10,770 --> 00:17:37,410
+وااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااا
+
+242
+00:17:37,440 --> 00:17:41,780
+عبادهم ولا معبادهم إيش؟ كلهم عبادهم تمام يا شباب؟
+
+243
+00:17:41,780 --> 00:17:45,760
+أي استفسار آخر إذا هاي عندي الثلاث خواص اللي بدي أش
+
+244
+00:17:45,760 --> 00:17:48,800
+ننساهم ماذا يقل الـ conductor عشان كده في الأسئلة
+
+245
+00:17:48,800 --> 00:17:51,600
+هيقولك conductor وقول insulator هيكون عندك في فرق
+
+246
+00:17:51,600 --> 00:17:54,600
+لما يكون الـ conductor  ريحك لو قال لك أو دي شدة
+
+247
+00:17:54,600 --> 00:17:57,620
+المجال داخل الـ conductor بدي أحل؟ ما بديش أحل بقول
+
+248
+00:17:57,620 --> 00:17:59,920
+since it is a conductor لذا إيه بتساوي zero على
+
+249
+00:17:59,920 --> 00:18:03,880
+طول ما بديش أحل خلاص هذه قاعدة صارت نظرية إن جوا ال
+
+250
+00:18:03,880 --> 00:18:07,140
+conductor قديش فيه المجال Zero والشحنات في جوا
+
+251
+00:18:07,140 --> 00:18:11,070
+شحنات لا خلاص تنتهي القضية على إيه تمام نجي للمثال
+
+252
+00:18:11,070 --> 00:18:16,950
+آخر مثال في هذا الشطر بيقول لي a conducting sphere
+
+253
+00:18:16,950 --> 00:18:21,630
+if الـ sphere conductor في جواها شحنات قديش المجال
+
+254
+00:18:21,630 --> 00:18:28,790
+جوا؟ Zero of radius a has a net charge 2Q
+
+255
+00:18:28,790 --> 00:18:32,530
+عليها شحنات 2Q بمدى ما أديك أرقام 2Q
+
+256
+00:18:32,530 --> 00:18:36,750
+شباب يعني فيها شحنات 2Q الشحنات اللي عليها
+
+257
+00:18:36,750 --> 00:18:41,020
+بيقول لي روح اتحققها هذه concentric with this
+
+258
+00:18:41,020 --> 00:18:46,660
+sphere حطيتها في مركز spherical shell الكرة ال
+
+259
+00:18:46,660 --> 00:18:50,040
+conductor حطيتها متحدة المركز
+
+260
+00:18:56,520 --> 00:19:01,720
+اسفريكال شيل شيل خميلي شوية بس conductor برضه
+
+261
+00:19:01,720 --> 00:19:05,980
+مصنوع من حاسب من مادة conductor بس هذا الشيل of
+
+262
+00:19:05,980 --> 00:19:09,680
+inner radius b and outer radius c عدى بعضهم ومشحون
+
+263
+00:19:09,680 --> 00:19:14,280
+الشيل has a net charge of -q هجيت هذا الشيل
+
+264
+00:19:14,280 --> 00:19:17,720
+مشحون وconductor  والشحنة اللي بتكون عليه برضه
+
+265
+00:19:17,720 --> 00:19:20,620
+على السطح الخارجي ولا الداخلي الخارجي نيجي نرسم
+
+266
+00:19:20,620 --> 00:19:24,230
+بقول يها دي الكورة الحمراء، الـ 2Q شايفين هما
+
+267
+00:19:24,230 --> 00:19:26,750
+دول وين موجودين؟ على السطح الخارجي، على السطح
+
+268
+00:19:26,750 --> 00:19:29,630
+الخارجي، جوا في الشحنات، بيقول لي أنا متحدت المركز
+
+269
+00:19:29,630 --> 00:19:34,190
+مع الشي اللي أزرق هذا، الأزرق هو المصنوع من مادة
+
+270
+00:19:34,190 --> 00:19:37,490
+الحاسنة، افترض أن أزرق عازل تمام؟ حطته سالب
+
+271
+00:19:37,490 --> 00:19:41,330
+عشان سالب، جاي مشحون بشحنات سالب Q، والشحنات
+
+272
+00:19:41,330 --> 00:19:43,910
+سالب Q بتكون على السطح الخارجي ولا لا؟ محطتها على
+
+273
+00:19:43,910 --> 00:19:49,580
+السطح الخارجي، حلو، إيش بده؟ بيقول لي find the
+
+274
+00:19:49,580 --> 00:19:52,900
+electric field in the regions في عدة مناطق أبدأ
+
+275
+00:19:52,900 --> 00:19:56,520
+الشمال regions inside the sphere يعني دي هو
+
+276
+00:19:56,520 --> 00:19:59,280
+المنطقة الحمراء صح صح صح صح صح صح صح صح صح صح صح
+
+277
+00:19:59,280 --> 00:20:01,540
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+278
+00:20:01,540 --> 00:20:02,620
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+279
+00:20:02,620 --> 00:20:04,960
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+280
+00:20:04,960 --> 00:20:05,000
+صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+281
+00:20:10,320 --> 00:20:14,660
+Zero لأنه برضه conductor في المنطقة الزرقاء مش برضه
+
+282
+00:20:14,660 --> 00:20:17,560
+لازم يكون Zero برضه Zero لأنه conductor أخوك قال لي
+
+283
+00:20:17,560 --> 00:20:21,240
+هذا conductor هي بقول لي the shell a conducting
+
+284
+00:20:21,240 --> 00:20:24,260
+spherical shell إذا الـ shell conductor وأنت
+
+285
+00:20:24,260 --> 00:20:28,900
+بتقول لي جوا أي conductor قديش إيه Zero إذا Zero وال
+
+286
+00:20:28,900 --> 00:20:35,050
+المنطقة الرابعة and outside the shell يعني هنا يعني
+
+287
+00:20:35,050 --> 00:20:37,510
+بده المجال في المنطقة الحمراء في المنطقة البيضاء
+
+288
+00:20:37,510 --> 00:20:40,730
+هذه في المنطقة الزرقاء في المنطقة البيضاء هذه اتفقنا
+
+289
+00:20:40,730 --> 00:20:44,630
+يا شباب؟ هاي المطلوب الأول إيش المطلوب الثاني؟
+
+290
+00:20:44,630 --> 00:20:49,090
+بيقول لي determine .. determine the induced charge
+
+291
+00:20:49,090 --> 00:20:52,730
+on the inner and the outer surfaces of the shell
+
+292
+00:20:52,730 --> 00:20:56,710
+بيقول لي قديش في عنده شحنات اتمركزت على السطح
+
+293
+00:20:56,710 --> 00:21:02,250
+الداخلي هذا وعلى السطح الخارجي هذا بتشحن بالتأثير
+
+294
+00:21:02,250 --> 00:21:05,230
+واحدة واحدة تمام يا شباب فجيت المنطقة الأولى
+
+295
+00:21:05,230 --> 00:21:08,290
+الحمراء بترمز لها بالرمز E1 يعني المنطقة الأولى
+
+296
+00:21:08,290 --> 00:21:11,170
+المنطقة الثانية بتصير E2 المنطقة الثالثة E3
+
+297
+00:21:11,170 --> 00:21:14,370
+والمنطقة الرابعة E4 زي ما أنتم حكيتوها لي E1 وE3
+
+298
+00:21:14,370 --> 00:21:19,730
+Zero صح؟ هنجيب كمان الحل solution واثنين كمان
+
+299
+00:21:19,730 --> 00:21:24,670
+موجودة بتنطبق أدنى بيشوف بيقول فاكر حل للمنطقة
+
+300
+00:21:24,670 --> 00:21:27,890
+اللولاء شباب لا حل ولا عمل ولا جوز ولا حاجة بيقول ال
+
+301
+00:21:27,890 --> 00:21:31,290
+synthesphere is conducting لأن الـ conductor ليش هو
+
+302
+00:21:31,290 --> 00:21:35,200
+conductor هو كان له مش هو الدنيا معطلة؟ we conclude
+
+303
+00:21:35,200 --> 00:21:37,840
+that the electric field in the first region is
+
+304
+00:21:37,840 --> 00:21:41,640
+zero إذا هي المنطقة الأولى لو واحد طيب يعني IE هي
+
+305
+00:21:41,640 --> 00:21:46,620
+IE1=0 ما بتحتاجش حل خلاص تمام إذا المنطقة الأولى بس
+
+306
+00:21:46,620 --> 00:21:49,720
+بقول له since it is a conductor or a conducting
+
+307
+00:21:49,720 --> 00:21:55,160
+region Zero هذه المنطقة خلاص ما فيش مجال تمام هاي
+
+308
+00:21:55,160 --> 00:22:01,400
+المنطقة الأولى تمام ليه جينا؟ In the second region
+
+309
+00:22:01,400 --> 00:22:05,480
+المنطقة البيضاء هنا الشباب إيش بدي أسوي؟ يقول يا
+
+310
+00:22:05,480 --> 00:22:08,660
+عمار سطح جوز يسحق ال cash الشكل المشحون كروي و
+
+311
+00:22:08,660 --> 00:22:12,660
+ليه مش كروي؟ بينطبق عليه قوانين جوز ولا لا؟ ينطبق
+
+312
+00:22:12,660 --> 00:22:16,200
+بيقول إذا in the second region we select a
+
+313
+00:22:16,200 --> 00:22:19,840
+Gaussian surface والـ Gaussian surface فيه كلكم
+
+314
+00:22:19,840 --> 00:22:24,540
+عارفينه لأن الشكل المشحون كروي with radius R و
+
+315
+00:22:24,540 --> 00:22:26,780
+الـ R بين الـ B والـ A عشان يكونوا في المنطقة البيضاء
+
+316
+00:22:26,780 --> 00:22:28,580
+اللي بدي إياها هذه سطح جوز الشباب
+
+317
+00:22:32,770 --> 00:22:37,950
+أيوة شفتوا مشيك سطح جاوس طيب يلا جوا فيه شحنات
+
+318
+00:22:37,950 --> 00:22:41,970
+اللي هي المنطقة الحمراء كلها ولا لأ؟ يعني إنك هناك
+
+319
+00:22:41,970 --> 00:22:46,790
+يو جوا ولا لأ؟ إذا فيه شحنات جوا يزرحين Since E is
+
+320
+00:22:46,790 --> 00:22:50,410
+constant in magnitude over the Gaussian surface,
+
+321
+00:22:50,690 --> 00:22:53,150
+abnormal to it زي ما عملنا عدة مرات بالنسبة
+
+322
+00:22:53,150 --> 00:22:55,790
+للكورة، احنا بنتطلع E برة، وضبط ال product الله
+
+323
+00:22:55,790 --> 00:22:59,570
+سهل عليها، اتجهله جوا التكامل دي E.da، وتكامل
+
+324
+00:22:59,570 --> 00:23:02,890
+دي E.da، وبنسوي 4π by R تربيع، ونضل عندك E N
+
+325
+00:23:02,890 --> 00:23:06,870
+قديش بتحط محلها، 2Q صار E 2Q عشان
+
+326
+00:23:06,870 --> 00:23:10,030
+المنطقة الثانية أنا فيها في 4πR تربيع
+
+327
+00:23:10,030 --> 00:23:13,850
+تكامل الـ DA وهو الـ Area أو الـ Gaussian Surface
+
+328
+00:23:13,850 --> 00:23:17,350
+بتساوي الـ Qin على الـ Epsilon نوت واتصار بيساوي ..
+
+329
+00:23:17,350 --> 00:23:20,810
+إيش بدّه الـ Qin حطينا؟ 2Q في أي مشكلة شباب
+
+330
+00:23:20,810 --> 00:23:25,910
+إنه هادي هي هادي؟ طلع الجواب، إذا هاي 2Q طلعت،
+
+331
+00:23:25,910 --> 00:23:31,110
+صح ولا لا؟ طلع تمام؟ لإن المنطقة الثالثة كده
+
+332
+00:23:31,110 --> 00:23:37,350
+اتفقنا؟ Zero في المنطقة الثالثة الوضع الكهربائي يجب
+
+333
+00:23:37,350 --> 00:23:39,750
+أن يكون Zero Zero Zero Zero Zero Zero Zero
+
+334
+00:23:39,750 --> 00:23:42,750
+Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero 
+
+335
+00:23:42,750 --> 00:23:50,490
+Zero Zero Zero 
+
+336
+00:23:52,230 --> 00:23:56,330
+سؤالي أنا الآن واحد بيقول لي حب حب عليّ بيصحى اللي
+
+337
+00:23:56,330 --> 00:23:59,550
+أطبق قانون جاوس بيقول لك بيصحى لك طب لو طبقت قانون
+
+338
+00:23:59,550 --> 00:24:06,130
+جاوس بيطلع Zero بيقول لك جرب جاي لي طب هاي سطح جاوس صح
+
+339
+00:24:06,130 --> 00:24:15,350
+شباب؟ في جوا شحنات؟ دي الـ 2Q بيقولوا لا فشي لا
+
+340
+00:24:15,350 --> 00:24:19,530
+هي موجودة بس قاعد بقول لك وراحت قاعد بقول لك وراحت
+
+341
+00:24:19,530 --> 00:24:23,640
+اتسنى عليّ لازم تكون Zero بعدين بفرجك كيف صارت Zero
+
+342
+00:24:23,640 --> 00:24:28,880
+سنوا عليّ شوية لأنه في شحنات بالتأثير قعدنا بنشوف
+
+343
+00:24:28,880 --> 00:24:33,220
+عليها بس واحدة واحدة قديش أعلمها أنا تمام قديش أعلمها
+
+344
+00:24:33,220 --> 00:24:38,760
+حلها إذا هذه المنطقة دي كم اتفاقنا؟ Zero لإنها جوا
+
+345
+00:24:38,760 --> 00:24:41,640
+conductor وهاد الـ conductor معطى .. معطى .. هو
+
+346
+00:24:41,640 --> 00:24:45,220
+قال لي هاد الـ conductor .. حلو In the last region
+
+347
+00:24:45,220 --> 00:24:48,220
+.. أي منطقة اللي برة خالص .. المنطقة البيضاء اللي
+
+348
+00:24:48,220 --> 00:24:51,400
+برة .. outside the shell we construct again a
+
+349
+00:24:51,400 --> 00:24:54,040
+Gaussian surface هل هي المنطقة البرانية خالص جوا
+
+350
+00:24:54,040 --> 00:24:58,740
+conductor؟ لا هل هذه جوة conductor لا إذا ما وجدت
+
+351
+00:24:58,740 --> 00:25:02,800
+أقول Zero إذا إيش بدي أعمل أطبق قانون جاوس يعني أطبق
+
+352
+00:25:02,800 --> 00:25:06,180
+قانون جاوس لإن الشكل المشروع شكله كروي قال لي هاي
+
+353
+00:25:06,180 --> 00:25:09,260
+سطح جاوس في هذه الحالة صح ولا لا يا شباب هاي نقطة
+
+354
+00:25:09,260 --> 00:25:13,020
+برة جبت أنا أي نقطة برة في جوة شحنات بقول له اه في
+
+355
+00:25:13,020 --> 00:25:17,060
+شحنتك إيه الـ shell بكيه جوا و لكينكيه جوا ولا لا؟ طب
+
+356
+00:25:17,060 --> 00:25:21,460
+إيش بدي أسوي أجمعهم أجمعهم بيقول لي
+
+357
+00:25:22,940 --> 00:25:27,280
+هذه موجودة والـ 2Q موجودات صحيح ولا لا يا شباب؟
+
+358
+00:25:27,280 --> 00:25:29,840
+بدي واحد منهم .. ما بديش يول واحد بدي يول أو
+
+359
+00:25:29,840 --> 00:25:33,980
+الاثنين بدي يول؟ الاثنين جوا .. الاثنين جوا بيقول
+
+360
+00:25:33,980 --> 00:25:38,100
+لي الـ surface enclose a total charge of الـ -Q
+
+361
+00:25:38,100 --> 00:25:43,620
+والـ 2Q جمعتهم قديش طلع Q؟ بسهولة Gauss's law if
+
+362
+00:25:43,620 --> 00:25:46,840
+thing gives إيه 4π متساوية كبت الـ Q على 4π
+
+363
+00:25:46,840 --> 00:25:52,120
+by إبسيلون نوت 4π طلعناها هي استفسار الشباب نرجع
+
+364
+00:25:52,120 --> 00:25:55,600
+هديك كيف طلع السفر وطبقت قانون جاوس بينا مش سفر
+
+365
+00:25:55,600 --> 00:26:00,340
+شوف المطلوب الثاني هو اللي بيجاوبنا هناك المطلوب
+
+366
+00:26:00,340 --> 00:26:02,940
+الثاني بيقول لي إيش صار عندك اندوس تشاجج على ال
+
+367
+00:26:02,940 --> 00:26:06,460
+inner وعلى ال outer فكل زمان في أول محاضرة في
+
+368
+00:26:06,460 --> 00:26:11,360
+الفصل أديتكم بهذا الشكل شباب قلت هذا conductor
+
+369
+00:26:11,360 --> 00:26:19,080
+وهذا عازل عن الأرض بتجرب هذه
+
+370
+00:26:23,700 --> 00:26:28,150
+قولت صار هنا؟ قلت كل شحنات الساعة اللي بجربتو
+
+371
+00:26:28,150 --> 00:26:31,470
+الشحنات الموجبة بقى أب
+
+401
+00:28:37,410 --> 00:28:40,070
+مش واحد يقول لي أنا جري بواحد بعيد لأ، وين مكان
+
+402
+00:28:40,070 --> 00:28:44,030
+بيروحوا لما إجى مؤثر اللي هي القوة، الحمرة قالت
+
+403
+00:28:44,030 --> 00:28:49,010
+بيجيش عندي للمخالف والمشابه، هم بيروحوا ويبعدوا عندي من
+
+404
+00:28:49,010 --> 00:28:52,530
+عندي حسب قوة الـ attractive والـ repulsive تمام
+
+405
+00:28:53,840 --> 00:28:59,320
+الوضع المدفع على الوضع الخارجي سيكون 2Q هذا
+
+406
+00:28:59,320 --> 00:29:04,020
+الوضع المدفع لذلك الوضع المدفع على الوضع الخارجي
+
+407
+00:29:09,550 --> 00:29:13,890
+إذاً هذه الجواب المطلوب التاني بقول لي جدش في على ال
+
+408
+00:29:13,890 --> 00:29:17,350
+outer surface وبقوله Q وعلى الـ inner surface ال
+
+409
+00:29:17,350 --> 00:29:21,570
+inner نقص 2Q، الـ induced سالب 2Q مظبوط ولا لأ، إذا
+
+410
+00:29:21,570 --> 00:29:25,070
+صار عندي على الداخل نقص 2Q وعلى الخارج Capital Q
+
+411
+00:29:25,070 --> 00:29:28,710
+هذا الجواب، طب الـ answers بيقول لي بيقول لي أنت توي حاكت لي
+
+412
+00:29:28,710 --> 00:29:31,610
+في المنطقة الزرقاء Zero بيقول لي إيه توي حاكت لي اعمل
+
+413
+00:29:31,610 --> 00:29:36,230
+Gaussian surface في المنطقة الزرقاء، شايفين الـ Gauss اتح
+
+414
+00:29:36,230 --> 00:29:38,810
+Gauss جدش فيه شحنات
+
+415
+00:29:41,880 --> 00:29:47,840
+آه طبعا صحيح زي ما اتكلمنا، إذا آه E0 استخدمت 
+
+416
+00:29:47,840 --> 00:29:51,140
+قانون Gauss ولا ما استخدمت، مش قانون Gauss لازم E 
+
+417
+00:29:51,140 --> 00:29:55,840
+يكون معاك 0، هي if one construct a Gaussian surface
+
+418
+00:29:55,840 --> 00:29:59,620
+in that region اللي هي تبعي الزرقاء هادي with
+
+419
+00:29:59,620 --> 00:30:02,960
+radius R أقل من 0 وأكبر من B، يعني في المنطقة
+
+420
+00:30:02,960 --> 00:30:05,840
+الزرقاء كمان مرة، then it will charge inside that
+
+421
+00:30:05,840 --> 00:30:09,080
+surface اللي هو Gaussian surface must be 0، so the
+
+422
+00:30:09,080 --> 00:30:12,320
+electric field E3 is 0 as expected زي ما حكى في
+
+423
+00:30:12,320 --> 00:30:19,620
+الأولى، هم هدول اللي 2Q سالب 2Q زيرو، إذا ما فيش
+
+424
+00:30:19,620 --> 00:30:23,620
+شحنات في كل الأحوال، حتى لو أنت عملت سطح جاوس جوا
+
+425
+00:30:23,620 --> 00:30:28,100
+الـ conductor مش هتلاقي شحنات إطلاقا حتى لو عملت
+
+426
+00:30:28,100 --> 00:30:29,820
+constructing لجاوز surface
+
+427
+00:30:33,590 --> 00:30:36,830
+لو ميأت الشحن اللي جوا اللي عساسي يكون أكبر لو 
+
+428
+00:30:36,830 --> 00:30:39,590
+خليت الشحن اللي برا نفس الشيء، يمكن يكون فيه مجال
+
+429
+00:30:39,590 --> 00:30:44,290
+... يعني هذه خليتك خمسة Q، بس هنا سالب خمسة Q، هنا
+
+430
+00:30:44,290 --> 00:30:48,090
+زائد خمسة Q، طيب وفي الخارج سالب Q؟ وفي الخارج
+
+431
+00:30:48,090 --> 00:30:50,950
+دايما هي هنا سالب خمسة Q، هنا زي الخمسة Q هنا سالب 
+
+432
+00:30:50,950 --> 00:30:54,930
+Q، جديد الشحن الكلي عالم انتقال الزرقاء هي هي لإن
+
+433
+00:30:54,930 --> 00:30:57,730
+هدول سالب وموجب بيرقلوا بعض بالأول في الآخر صحيح
+
+434
+00:30:57,730 --> 00:31:01,630
+ولا لا، لكن هم إيه التوزيع، هم هذا كل ما كبرت كل ما
+
+435
+00:31:01,630 --> 00:31:04,710
+بيجمع أكثر ولا لا، إذا هدول بيلحقوا هذا المؤثر 
+
+436
+00:31:04,710 --> 00:31:08,270
+2Q بياخد عنده 2Q، 5Q بياخد عنده 5
+
+437
+00:31:08,270 --> 00:31:13,730
+Q وبيبقى نفسه من المقدار، واضح؟ تمام شباب؟ انتهى
+
+438
+00:31:13,730 --> 00:31:15,190
+هذا الـ chapter 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..31e9aab76a3f10a23ab313aaff5c573b4288f759
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_postprocess.srt
@@ -0,0 +1,1752 @@
+1
+00:00:10,260 --> 00:00:15,920
+بسم الله الرحمن الرحيم نستكمل ما تبقى من charter 2
+
+2
+00:00:15,920 --> 00:00:21,000
+وجفنا عند conductors in electrostatic equilibrium
+
+3
+00:00:21,000 --> 00:00:24,600
+في بعض الخواص لل conductors في ال electrostatic
+
+4
+00:00:24,600 --> 00:00:31,540
+equilibrium نتعرف عليها و نثبتهاالكندكتور اتعرفنا
+
+5
+00:00:31,540 --> 00:00:36,740
+عليه بال chapter الاول وقلنا ان هو اي مادةتسمح
+
+6
+00:00:36,740 --> 00:00:43,340
+بمرور الشحنات freely through it تمام الآن بدي انا
+
+7
+00:00:43,340 --> 00:00:47,560
+اشحن ال conductor لو كان الكورة insulator زي ما
+
+8
+00:00:47,560 --> 00:00:52,740
+اخدنا في مثال سابق وشحنتها ووزعتها جوا وين الشحنة
+
+9
+00:00:52,740 --> 00:00:57,140
+انا بحطها بتظلها كما هي وبالتالي المرة دي اللي قلت
+
+10
+00:00:57,140 --> 00:01:00,420
+ان عندي conductor insulating sphere insulating
+
+11
+00:01:00,420 --> 00:01:04,340
+sphere sorry شحنتها و الشحنات اتوزعت على كل ال
+
+12
+00:01:04,340 --> 00:01:09,500
+volumeهذا لا يتعلق لو كانت الاسفير كوندكتر لو انا
+
+13
+00:01:09,500 --> 00:01:13,820
+حاطيت شحنتين جوا الاسفير بضل هم مش قاعدين due to
+
+14
+00:01:13,820 --> 00:01:17,700
+the reversive force between them they will go far
+
+15
+00:01:17,700 --> 00:01:21,080
+away from each other تمام؟ اذا بيقوللي if a
+
+16
+00:01:21,080 --> 00:01:25,240
+conductor is charged شحنة كوندكتر its charges will
+
+17
+00:01:25,240 --> 00:01:28,760
+move away from each other ليش؟ due to the
+
+18
+00:01:28,760 --> 00:01:32,300
+reversive force between them قوة التنافذ اللي
+
+19
+00:01:32,300 --> 00:01:36,790
+بينهم هتبعدهم عن بعضطبعا كوني انا بدي ابعدهم مع
+
+20
+00:01:36,790 --> 00:01:40,970
+بعض اقصى مسافة ممكنة وهذا بتقتش اللي على السطح
+
+21
+00:01:40,970 --> 00:01:45,230
+الخارجي بتقتش اللي على السطح الخارجي اذا مقولي for
+
+22
+00:01:45,230 --> 00:01:49,210
+the child to be as far away from each other as
+
+23
+00:01:49,210 --> 00:01:52,130
+they can they will move to the outer surface of
+
+24
+00:01:52,130 --> 00:01:57,010
+the conductor اذا من هذه القاعدةبس تنتج إن الشحنات
+
+25
+00:01:57,010 --> 00:02:00,230
+في ال conductor لازم تكون موزعة على السطح الخارجي
+
+26
+00:02:00,230 --> 00:02:06,670
+فقط لأن ال reverse force بتجبرهم يبعدوا عن بعض و
+
+27
+00:02:06,670 --> 00:02:10,270
+الأقصى
+
+28
+00:02:10,270 --> 00:02:13,230
+مسافة ممكن يكونوا بعض عن بعض هو على ال outer
+
+29
+00:02:13,230 --> 00:02:19,420
+surfaceتما انا شحنته مش يتحركوا وتوزعوا بعيده عن
+
+30
+00:02:19,420 --> 00:02:23,220
+بعض السقره بعد كده بطل في حركة للشحنات ما زال
+
+31
+00:02:23,220 --> 00:02:26,360
+الشحنات بطل هتتحرك بقول ال conductor صار في
+
+32
+00:02:26,360 --> 00:02:30,080
+equilibrium electrostatic equilibrium يعني خلاص
+
+33
+00:02:30,080 --> 00:02:32,680
+مافيش حركة للشحنات بيقول ال conductor with no
+
+34
+00:02:32,680 --> 00:02:35,860
+motion of charges مافيش حركة للشحنات are said to
+
+35
+00:02:35,860 --> 00:02:39,320
+be in electrostatic equilibrium في هذه الحالة إذا
+
+36
+00:02:39,320 --> 00:02:42,240
+معناته لما أقول electrostatic equilibrium معناته
+
+37
+00:02:42,240 --> 00:02:47,710
+الشحنات مالها واقفة مافيش حركة لهاsuch conductors
+
+38
+00:02:47,710 --> 00:02:53,710
+have the following properties في عندي عدة خواص بدي
+
+39
+00:02:53,710 --> 00:02:57,710
+أشرحها للكندكتر و مش أي كندكتر في ال electrostatic
+
+40
+00:02:57,710 --> 00:03:00,210
+equilibrium أول واحدة توي حكيتها
+
+41
+00:03:02,690 --> 00:03:06,750
+بيقول لي any exceeded charge will reside entirely
+
+42
+00:03:06,750 --> 00:03:10,790
+on the outer surface of an isolated conductor اللي
+
+43
+00:03:10,790 --> 00:03:13,550
+طبعا حاكيناها انه اي شحنة زيادة لما اشحن ال
+
+44
+00:03:13,550 --> 00:03:17,650
+conductor وين بتكون قاعدة على السطح الخارجي will
+
+45
+00:03:17,650 --> 00:03:22,530
+reside كليا on the outer surface of an isolated
+
+46
+00:03:22,530 --> 00:03:25,950
+conductor يعني في اي conductor جالي جديش جوا فيه
+
+47
+00:03:25,950 --> 00:03:30,050
+شحنات جديش جوا مافيش شحنات لان الشحنات وين بتكون
+
+48
+00:03:30,050 --> 00:03:35,890
+على السطح الخارجيطب سؤالى لان انا عندى solid
+
+49
+00:03:35,890 --> 00:03:40,390
+sphere solid يعني مصمطة مظبوط ولا لأ كلها مصنوعة
+
+50
+00:03:40,390 --> 00:03:45,590
+من نحاس ان جيت النحاس موزع على volume ولا على
+
+51
+00:03:45,590 --> 00:03:51,490
+surface؟ على volume لانه مصمطة حلوش عندها الشحنات
+
+52
+00:03:51,490 --> 00:03:57,000
+موزعة على volume ولا على surface؟ع ال surface يعني
+
+53
+00:03:57,000 --> 00:04:00,660
+بدي sigma و لا rho و لا lambda لأنه ع ال surface
+
+54
+00:04:00,660 --> 00:04:05,940
+بالرغم انه هي ثلج سفير لكن كون الشحنات فقط بتتوزع
+
+55
+00:04:05,940 --> 00:04:09,720
+على السطح اذا انا بتعامل the charge distributed
+
+56
+00:04:09,720 --> 00:04:13,080
+over the surface of the sphere and not through the
+
+57
+00:04:13,080 --> 00:04:16,880
+volume of the sphere لان انا هكون دكتور حلو طيب
+
+58
+00:04:16,880 --> 00:04:20,840
+احنا اتفقنا جديش هو الشحنات Zero طيب قولت Quran
+
+59
+00:04:22,580 --> 00:04:26,960
+كحالة خاصة، بدي أجيب شدة المجال الكهربائي جوا،
+
+60
+00:04:26,960 --> 00:04:30,340
+الكورة يتطبق عليها قانون جاوس ولا لأ؟ بدي أختار
+
+61
+00:04:30,340 --> 00:04:34,000
+صلة جاوس جوا الكورة، أختارت، وجيبت إيه بالراوضة
+
+62
+00:04:34,000 --> 00:04:38,700
+وقلتله جوا جاتش فيه شحنات؟ سفر، إذا في مجال جوا،
+
+63
+00:04:38,700 --> 00:04:43,200
+إذا مافيشش مجالبيقول لي bearing this property in
+
+64
+00:04:43,200 --> 00:04:46,580
+mind بزن انت جيت عندك شغلة و حطها في مخكك جوا ال
+
+65
+00:04:46,580 --> 00:04:50,800
+conductor فيه شحنات؟ هذه .. هذه مش موجودة if a
+
+66
+00:04:50,800 --> 00:04:54,940
+Gaussian surface is constructed inside such a
+
+67
+00:04:54,940 --> 00:04:59,420
+conductor it will not enclose any charge يعني qn
+
+68
+00:04:59,420 --> 00:05:04,460
+قداش؟ zero using Gauss's law we conclude that ..
+
+69
+00:05:04,460 --> 00:05:07,910
+هاي جاس سطح جاوس مافيش فيه جوا شحناتبقول لي the
+
+70
+00:05:07,910 --> 00:05:13,010
+electric field must be zero inside any conductor
+
+71
+00:05:13,010 --> 00:05:18,370
+بشرط يكون طبعا electrostatic equilibrium هذا أي
+
+72
+00:05:18,370 --> 00:05:22,670
+سطح جاس هنا فش QA طبعا أي سطح جاس فش QA معناته أدى
+
+73
+00:05:22,670 --> 00:05:26,630
+اللى بحكي عنه في الموضوع طبعا اذا الخاصية التانية
+
+74
+00:05:26,630 --> 00:05:30,880
+اللى بدهاش اثبات بعد كدهأي conductor أيش ما يكون
+
+75
+00:05:30,880 --> 00:05:35,700
+شكله جوا في مجال مافيش مجال هداني خاصية هدول خلاص
+
+76
+00:05:35,700 --> 00:05:39,160
+بدنا نستخدمهم في الحل حتى بدون إثبات الخاصية
+
+77
+00:05:39,160 --> 00:05:45,480
+التالتةبيقوللي the electric field just outside a
+
+78
+00:05:45,480 --> 00:05:49,640
+conductor is always perpendicular to the surface
+
+79
+00:05:49,640 --> 00:05:53,140
+of the conductor and equal to ويلها قيمة بيقوللي
+
+80
+00:05:53,140 --> 00:05:57,620
+شدة المجال just outside a conductor ايش الفرق بين
+
+81
+00:05:57,620 --> 00:06:04,190
+outside و just outside فرق المباشرةبالظبط مباشر
+
+82
+00:06:04,190 --> 00:06:07,170
+يعني هاج الغرفة مظبوط ولا لأ هاجت واحد في جبالي
+
+83
+00:06:07,170 --> 00:06:09,630
+outside الغرفة هادى ولا لأ بقدر اقول عنه just
+
+84
+00:06:09,630 --> 00:06:13,590
+outside الغرفة لازم يكون على الباب واقف عشان اقول
+
+85
+00:06:13,590 --> 00:06:16,850
+عنه just outside بيكون ملزق في الباب بس هو برا بس
+
+86
+00:06:16,850 --> 00:06:20,850
+من هنا على الباب من برا بقول عنه just outside واضح
+
+87
+00:06:20,850 --> 00:06:24,390
+شباب إذا كلمة just outside هو برا بس ملزق في السطح
+
+88
+00:06:24,390 --> 00:06:28,990
+تلزيق تمام بقوللي المجال برا just outside على
+
+89
+00:06:28,990 --> 00:06:34,990
+السطح من برا لازم يكون عموديو يساوي and equal to
+
+90
+00:06:34,990 --> 00:06:39,050
+sigma على y naught لازم يكون عمودي و بيساوي sigma
+
+91
+00:06:39,050 --> 00:06:44,150
+على y naught فبليش؟ بيقولي شغلة سهلة انت بتقول
+
+92
+00:06:44,150 --> 00:06:48,590
+ممنوع يكون في حركة ولا لأ؟ مش ممنوع يكون في حركة
+
+93
+00:06:48,590 --> 00:06:52,590
+عشان في عندك electrostatic equilibrium حلو؟ انا
+
+94
+00:06:52,590 --> 00:06:58,980
+جيت هذا الجسم كنت بكتر انا حاطط هنا شحناتتمام؟
+
+95
+00:06:58,980 --> 00:07:02,120
+عالسطح مش عالسطح الخارجى هلجيت لو كان في قد قوة
+
+96
+00:07:02,120 --> 00:07:07,000
+بهذا الشكل .. قوة بهذا الشكل بقدر تتحرك الشحنة؟
+
+97
+00:07:07,000 --> 00:07:12,660
+تقعد تتحرك هيك؟ تنجي من هنا لهنا؟ ليش؟ لأنه في وسط
+
+98
+00:07:12,660 --> 00:07:16,340
+عزل اللي هو الفرق صح ولا لأ؟ لكن لو اجيت انا
+
+99
+00:07:16,340 --> 00:07:18,840
+جريتها وقلت لها تنجي من هنا لهان؟ تنجر معايا لأن
+
+100
+00:07:18,840 --> 00:07:22,240
+هنا في طرق سالكة صح ولا لأ؟ طيب بيقول ايه زي
+
+101
+00:07:22,240 --> 00:07:24,860
+معناته؟ عشان تضمن ادم وجد حركة ممنوع يكون في قوة
+
+102
+00:07:24,860 --> 00:07:29,150
+بهذا الشكلفح؟ ممنوع يكون قوة بهذا الشكل .. تكون
+
+103
+00:07:29,150 --> 00:07:31,690
+قوة بهذا الشكل هي حرة .. تكون قوة بهذا الشكل ..
+
+104
+00:07:31,690 --> 00:07:35,810
+لأنه مش هتتخلق في كل أحوال .. لكن تكون قوة مماسية
+
+105
+00:07:35,810 --> 00:07:40,090
+.. هيك أو هيك .. مماس .. ممنوع تكون قوة مماسية ..
+
+106
+00:07:40,090 --> 00:07:45,430
+إذا القوة لازم تكون عمودية .. طبعا قوة مش بتيجي من
+
+107
+00:07:45,430 --> 00:07:52,760
+المجال ذاكرين القانون .. F بتساوي Q في Eإذا هذه
+
+108
+00:07:52,760 --> 00:07:56,900
+عمودية، يعني هذه عمودية. صح ولا لا؟ ده الشحنات.
+
+109
+00:07:57,920 --> 00:08:01,060
+إيه كبير تتحرك؟ إذا فيها .. إذا موجودة في مجال،
+
+110
+00:08:01,060 --> 00:08:05,200
+بصير عليها قوة. إذا بيقوللي، المجال لازم يكون
+
+111
+00:08:05,200 --> 00:08:08,120
+عمودي، لأنه في مجال، لأنه فيه شحنات. إذا في مجال،
+
+112
+00:08:08,120 --> 00:08:09,780
+بيقوللي، إذا المجال لازم يكون عمودي، ممكن يكون
+
+113
+00:08:09,780 --> 00:08:12,760
+مماسي. لأن إذا كان مماسي، فتتحركش الشحنات. وهذا
+
+114
+00:08:12,760 --> 00:08:18,370
+بناقض مبدأ ال equilibrium تبعك. فبيقوللي،إذا لم
+
+115
+00:08:18,370 --> 00:08:22,550
+يكن هذا الحال عمودي إذا لم يكن هذا الحال عمودي إذا
+
+116
+00:08:22,550 --> 00:08:23,870
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+117
+00:08:23,870 --> 00:08:23,890
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+118
+00:08:23,890 --> 00:08:23,930
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+119
+00:08:23,930 --> 00:08:26,510
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+120
+00:08:26,510 --> 00:08:28,230
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+121
+00:08:28,230 --> 00:08:28,610
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+122
+00:08:28,610 --> 00:08:29,990
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+123
+00:08:29,990 --> 00:08:31,810
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+124
+00:08:31,810 --> 00:08:36,980
+لم يكن هذا حالوهذا يفعّل تجارب الإيقاليبريام
+
+125
+00:08:36,980 --> 00:08:39,740
+ويتحرك أنت تقول إيقاليبريام بطل فيه إيقاليبريام
+
+126
+00:08:39,740 --> 00:08:43,540
+إذا الممنوعة تكون مماسية لازم تكون عمودية إذا
+
+127
+00:08:43,540 --> 00:08:46,420
+المجال لازم يكون عمودي just outside the contact
+
+128
+00:08:46,420 --> 00:08:52,920
+tower واضح شباب عدم عمديته وعدم كونه عمودي بيعمل
+
+129
+00:08:52,920 --> 00:08:56,180
+violation لإيش للإيقاليبريام واضح شباب بصي فيها
+
+130
+00:08:56,180 --> 00:08:59,520
+حركة طب كيف نويجي بتسجل على أبسل نوت جالي بيجي
+
+131
+00:08:59,520 --> 00:09:06,000
+جربت جالي just outsideذاكرين ال disk اللى كان نصف
+
+132
+00:09:06,000 --> 00:09:10,940
+قطره R قولت هذا بصير infinite plane في حالتين لا R
+
+133
+00:09:10,940 --> 00:09:16,220
+كبيرة لا نقطة جريبة صحطيب لما تكون جريبة كتير بقدر
+
+134
+00:09:16,220 --> 00:09:19,620
+اعتبر ال plane infinite ولا لأ؟ ذاكرين النملة و
+
+135
+00:09:19,620 --> 00:09:23,900
+الفيل؟ هجات النملة بقدر اقول عنها و هي على دهر
+
+136
+00:09:23,900 --> 00:09:28,520
+الفيل just outside the surface of the elephant صح
+
+137
+00:09:28,520 --> 00:09:33,020
+ولا لأ؟ طيب في هذه الحالة سطح الفيل بقدر اعتبره
+
+138
+00:09:33,020 --> 00:09:36,170
+infinity plane ولا لأ؟infinity plane طيب اذا بدي
+
+139
+00:09:36,170 --> 00:09:39,610
+اطبق قانون جوز بدي اجيب انا ايش ايه تطلعلي ياسج
+
+140
+00:09:39,610 --> 00:09:42,350
+بقعدك في النوت مش هي بتطلع معايا ولا بتطلعاش عشان
+
+141
+00:09:42,350 --> 00:09:46,090
+اطلع ايه عندي قانون كله يقولني انا اخد عنصر و مش
+
+142
+00:09:46,090 --> 00:09:51,010
+عنصر شغل صعب لأنه سطح الفيل ولا اي سطح غريب صعب
+
+143
+00:09:51,010 --> 00:09:55,810
+كيف ااخده قاللي اعتبره infinity plane طيب لما يكون
+
+144
+00:09:55,810 --> 00:09:58,030
+infinity plane سطح جوز ايش بياخده؟
+
+145
+00:10:00,520 --> 00:10:02,960
+استغرقنا مع اتفاقنا متواجد المستخدمات بلا ننساه
+
+146
+00:10:02,960 --> 00:10:06,800
+اثباتنا انه ممكن يديك نفس النتيجة لكن انساه لانه
+
+147
+00:10:06,800 --> 00:10:12,880
+تبع 6 أسطح حلو الآن بدي اجي اطبق خانون gauss عليه
+
+148
+00:10:12,880 --> 00:10:16,220
+بيقول لي let us now use gauss's law هدف المنطقة
+
+149
+00:10:16,220 --> 00:10:20,310
+الحمره هو دهر الفيلأو I conductor تمام؟ لما قول
+
+150
+00:10:20,310 --> 00:10:23,430
+just outside انا جريب كتير عليه صار infinite السطح
+
+151
+00:10:23,430 --> 00:10:27,490
+اذا انا infinite اعتبره desk اخدت سطح جاس الأصفر
+
+152
+00:10:27,490 --> 00:10:31,050
+شايفين و هدا هجيت زكرينا احنا لما اخدنا سطح جاخ و
+
+153
+00:10:31,050 --> 00:10:34,190
+قولنا انا بدي اعملها بحيث انها بتظهر عليكم هجيت
+
+154
+00:10:34,190 --> 00:10:37,070
+هادي بدي احطها على دهر الفيل بدي اكون هادي وين
+
+155
+00:10:37,070 --> 00:10:42,350
+راحت؟ جوا جوا الفيل و هادي برا صح ولا لأ هجيت
+
+156
+00:10:42,350 --> 00:10:47,770
+الفيل او هدا conductor جوا فيه شحناتفي شحنة جوا مش
+
+157
+00:10:47,770 --> 00:10:51,690
+كنت دكتور مصمط انت طب ماكنت معايا ولا ماكنتش
+
+158
+00:10:51,690 --> 00:10:56,570
+معايا؟ لما كنت بتقولك كرة مصمطة من النحاس شحنهافي
+
+159
+00:10:56,570 --> 00:11:01,970
+جوه شحنات؟ لأ كنت دكتور طيب هال gate ها دي مش انها
+
+160
+00:11:01,970 --> 00:11:07,430
+تلت أسطح شباب لسه ولا سفرة القاعدة اللي جوه في أي
+
+161
+00:11:07,430 --> 00:11:20,670
+مجال بيخترقها لأ لأ لأ لأ لأ لأ لأ لأ
+
+162
+00:11:20,670 --> 00:11:21,290
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+163
+00:11:21,290 --> 00:11:21,750
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+164
+00:11:21,750 --> 00:11:24,870
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+165
+00:11:24,870 --> 00:11:27,830
+لأ لأ لأ لأ لأ لأ لفي اي خاط مجال عليها؟ لأ مش هي
+
+166
+00:11:27,830 --> 00:11:31,610
+جوا اي conductor مافيش فيه مجال اذا هنا مافيش مجال
+
+167
+00:11:31,610 --> 00:11:36,590
+طب و هذه عموديه شايفين اي مشاجوننا عموديه؟ اذا سفر
+
+168
+00:11:36,590 --> 00:11:41,090
+هذه روحت وهذه روحت دلت هذه ان هي هذه البس هذه
+
+169
+00:11:41,090 --> 00:11:46,550
+البرانية المجال بيخترقها باتجاه عمودي ولا لأ اذا
+
+170
+00:11:46,550 --> 00:11:53,160
+نضبت ال product روحت اذا اي في ايقال له انك عندما
+
+171
+00:11:53,160 --> 00:11:56,720
+دخلت هذه الورقة و اتطلعت على سطح الجاسوس وجدت جزء
+
+172
+00:11:56,720 --> 00:12:01,800
+من الورقة او من سطح الفيل هذه بس بديها سيجما في
+
+173
+00:12:01,800 --> 00:12:06,840
+هذه المساحة اذا بتساوي سيجما في ا راحت ا مع ا اذا
+
+174
+00:12:06,840 --> 00:12:11,260
+ا بيساوي سيجما على ابسلون نوت طلعي جواب نجينكوف
+
+175
+00:12:12,910 --> 00:12:16,750
+حاضر حاجة كاتبها هنا بدعيتها بقول but the base
+
+176
+00:12:16,750 --> 00:12:22,870
+القاعدة inside the conductor has no flux ليش لأنه
+
+177
+00:12:22,870 --> 00:12:26,830
+مش هو ال flux شباب خطوط مجال اخترقت في أي مجال
+
+178
+00:12:26,830 --> 00:12:30,090
+اخترقتها القاعدة الدجوانية لأ لإن مافيش مجال دجوة
+
+179
+00:12:30,090 --> 00:12:34,790
+فاهمت عليها has no fluxThrough it .. ليش .. since
+
+180
+00:12:34,790 --> 00:12:38,790
+E بتساوي Zero inside .. حلو .. and the flux
+
+181
+00:12:38,790 --> 00:12:42,750
+through the curved surface اللي لها في فهده .. is
+
+182
+00:12:42,750 --> 00:12:46,250
+Zero .. ليش .. since E is normal to the area ..
+
+183
+00:12:46,250 --> 00:12:49,790
+فيه عندي قصان تسعين .. hence the last two
+
+184
+00:12:49,790 --> 00:12:53,570
+integrals vanish .. leaving us with .. ضال عندي
+
+185
+00:12:53,570 --> 00:12:59,220
+تكامل ..E تكامل الـ DAA بتساوي QN على إبسل النوت
+
+186
+00:12:59,220 --> 00:13:04,880
+الـ QN إيش اتفقنا بتساوي سجمة في E طير A مع A طلعت
+
+187
+00:13:04,880 --> 00:13:08,660
+E بتساوي سجمة على إبسل النوت وهذا أثبت الخاصية
+
+188
+00:13:08,660 --> 00:13:12,340
+التالتة إذا عندي الآن أي conductor أي conductor
+
+189
+00:13:12,340 --> 00:13:15,700
+بشرط يكون في عندي الوثيوكتراتيكيكيكوليبريام يعني
+
+190
+00:13:15,700 --> 00:13:19,780
+مايكونش في عندي شحنات بتتحركطبعا شباب لأنه لما
+
+191
+00:13:19,780 --> 00:13:21,860
+يكون الشحنات بتتحرك يعني لما يقول في عندي تيار
+
+192
+00:13:21,860 --> 00:13:24,620
+كهربائي شباب التيار الكهربائي إيش هو مش شحنات
+
+193
+00:13:24,620 --> 00:13:28,300
+بتتحرك هذه الخواصلة تنطبق لإنه بقطر في عندي
+
+194
+00:13:28,300 --> 00:13:31,560
+equilibrium لإنه لما يقول في عندي تيار و هو تيار
+
+195
+00:13:31,560 --> 00:13:35,340
+بيمشي غير بconductors مش الأسلاك انحاس طب هاي ال
+
+196
+00:13:35,340 --> 00:13:37,600
+conductor دلوقتي فيه شحنات بيقولوا أه ما هو ده مش
+
+197
+00:13:37,600 --> 00:13:41,800
+equilibriumمن يحط الشحنات مجبر الشحنات تكون جوا
+
+198
+00:13:41,800 --> 00:13:45,660
+لإيش؟ لإن تحطه بين فرق جهد وفرق جهد هو عبارة عن
+
+199
+00:13:45,660 --> 00:13:49,280
+قوة وبالتالي هذه القواص لا تنطبق إلا لما يكون
+
+200
+00:13:49,280 --> 00:13:52,940
+مافيش عندك حركة شحنات وتيار حركة انسى لما يكون
+
+201
+00:13:52,940 --> 00:13:57,620
+عندك تيار هادي القواص لا تنطبق بثباتة صحيحة تمام
+
+202
+00:13:57,620 --> 00:14:03,040
+اشي الخواصالـ Conductor اشحناء بتكون شحنات وين؟
+
+203
+00:14:03,040 --> 00:14:07,520
+على السطح الخارجي هذه القاعدة على طول تجديك نتيجة
+
+204
+00:14:07,520 --> 00:14:12,160
+القاعدة التانية ان جوا .. جديش المجال؟ Zero
+
+205
+00:14:12,160 --> 00:14:17,820
+الخاصية التالتة بيقول المجال just outside is
+
+206
+00:14:17,820 --> 00:14:20,900
+normal to the surface and equal to sigma على
+
+207
+00:14:20,900 --> 00:14:24,700
+epsilon node خليني انا أشرح حاجة كمان مرة أثبتها
+
+208
+00:14:24,700 --> 00:14:28,100
+أثبتها كمان مرة أثبتناها قبل كده يا شباب نقول
+
+209
+00:14:30,700 --> 00:14:34,980
+هذا كوندكتر شحن
+
+210
+00:14:34,980 --> 00:14:42,520
+طوله شحن تكون نصف قطر و إيه هجيت أنا بدي أجيب شدة
+
+211
+00:14:42,520 --> 00:14:46,480
+المجال الكهربائي عنده نقطة هذه وهذه بتبقى المسافة
+
+212
+00:14:46,480 --> 00:14:50,880
+R هجيت بقدر أقول هذي just outside ولا outside عشان
+
+213
+00:14:50,880 --> 00:14:55,210
+تصيح just outside كده مش بيتبعد عن السطحةأيه؟ ايه؟
+
+214
+00:14:55,210 --> 00:14:58,930
+لازم تكون هنا جربت صح؟ خليني اعتبرها outside مش
+
+215
+00:14:58,930 --> 00:15:01,430
+just outside بعدين هجيبها just outside النيح شباب
+
+216
+00:15:01,430 --> 00:15:04,490
+كيف بدي اجيب ايه الآن هو ايه بيقول لي لازم تكون
+
+217
+00:15:04,490 --> 00:15:07,650
+sigma على epsilon not اذا كانت just outside صح؟
+
+218
+00:15:07,650 --> 00:15:11,690
+اول بدي اجيبها outside انا مش كراوي ولا مش كراوي؟
+
+219
+00:15:11,690 --> 00:15:16,050
+بقدر اطبق قانون جاوس؟ هالسطح جاوس ولا لا يا شباب؟
+
+220
+00:15:16,050 --> 00:15:19,630
+يلا نحل هشوف أكتر سطر بياخد معايا كيف بدي احل؟
+
+221
+00:15:19,630 --> 00:15:27,590
+بقول التكامن المغلق لإيه؟.da بتساوي qn على ايسلون
+
+222
+00:15:27,590 --> 00:15:32,210
+نوت انا اشتغلت صح اختلط سطح جاوس صح و بطبق على شكل
+
+223
+00:15:32,210 --> 00:15:36,010
+صح ماعرفته E is constant صح ولا لا و الـ.product
+
+224
+00:15:36,010 --> 00:15:39,270
+الله سهل عليها عدة مرات عملناها اذا E ايش ده اللي
+
+225
+00:15:39,270 --> 00:15:45,010
+هو التكامل ايه اربعة by R تربية مساحة سطح جاوس صح
+
+226
+00:15:45,010 --> 00:15:52,700
+ماجدش qn على ايسلون نوت ايه دهE بيتساوي capital Q
+
+227
+00:15:52,700 --> 00:15:57,060
+على 4π R تربيه Epsilon نوت هاي الجواب صح ولا لا
+
+228
+00:15:57,060 --> 00:16:01,640
+هادي E outside a conductor طب بديها just outside
+
+229
+00:16:01,640 --> 00:16:06,740
+ايش خلي في آرش صحيح ايه ايه صح just outside صح ولا
+
+230
+00:16:06,740 --> 00:16:15,200
+لا طب حلو هادي just outside طب اش هي هادي لأ فيه Q
+
+231
+00:16:15,200 --> 00:16:19,920
+جواها وEpsilon نوت ضارة سيجما
+
+232
+00:16:21,380 --> 00:16:26,360
+مش شحنة على سطح مش شحنة على سطح على مساحة وشحنة
+
+233
+00:16:26,360 --> 00:16:29,680
+على مساحة ايش بتدي سيجما هي طلعت سيجما على ابسلون
+
+234
+00:16:29,680 --> 00:16:36,860
+نوت هي طلعت هذه سيجما زي ما أنا متوقع سيجما على
+
+235
+00:16:36,860 --> 00:16:43,120
+ابسلون نوت اذا for any conductor E is normal and
+
+236
+00:16:43,120 --> 00:16:46,140
+equal sigma على ابسلون نوت هذه قاعدة معروفة
+
+237
+00:16:52,180 --> 00:16:56,160
+ليش؟ انت وقعد تدخل وحاجيت انت هيك هنا ويعمل السطح
+
+238
+00:16:56,160 --> 00:17:02,740
+جاوز فيك، جوا فيه شحنة، حاجاتي انت just outside
+
+239
+00:17:02,740 --> 00:17:07,460
+this room تمام؟ وروحت قولت انا بدي احوط كل الغرف
+
+240
+00:17:07,460 --> 00:17:10,770
+from إيدياتمام؟ قدرت اي دي كتب
+
+241
+00:17:10,770 --> 00:17:37,410
+وااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااا
+
+242
+00:17:37,440 --> 00:17:41,780
+عبادهم ولا معبادهم ايش؟ كلهم عبادهمتمام يا شباب؟
+
+243
+00:17:41,780 --> 00:17:45,760
+اي استفسار اخر اذا هاي عندى التلات خواص اللى بداش
+
+244
+00:17:45,760 --> 00:17:48,800
+ننساهم ماذا يقل ال conductor عشان كده في الأسئلة
+
+245
+00:17:48,800 --> 00:17:51,600
+هيقولك conductor وقول insulator هيكون عندك فى فرق
+
+246
+00:17:51,600 --> 00:17:54,600
+لما يكون ال conductor ريحك لو قالك اودي تشدتي
+
+247
+00:17:54,600 --> 00:17:57,620
+المجال داخل ال conductor بدي احل؟ بديش احل بقول
+
+248
+00:17:57,620 --> 00:17:59,920
+since it is a conductor لذا ايه بتساوي zero على
+
+249
+00:17:59,920 --> 00:18:03,880
+طول بديش احل خلاص هذه قاعدة صارت نظرية ان جوا ال
+
+250
+00:18:03,880 --> 00:18:07,140
+conductor جديش في المجال zero و الشحنات في جوا
+
+251
+00:18:07,140 --> 00:18:11,070
+شحنات لا خلاص تنتهي القضية على ايهتمام نحي المثال
+
+252
+00:18:11,070 --> 00:18:16,950
+اخر مثال في هذا الشطر بيقول لي a conducting sphere
+
+253
+00:18:16,950 --> 00:18:21,630
+if ال sphere conductor في جواها شحنات جديش المجال
+
+254
+00:18:21,630 --> 00:18:28,790
+جوا؟ zero of radius a has a net charge اتنين Q
+
+255
+00:18:28,790 --> 00:18:32,530
+عليها شحنات اتنين Q بمدى ما اديك ارقام اتنين Q
+
+256
+00:18:32,530 --> 00:18:36,750
+شباب يعني فيها شحنات اتنين Q الشحنات اللي عليها
+
+257
+00:18:36,750 --> 00:18:41,020
+بيقول لي روح اتحققها هذهconcentric with this
+
+258
+00:18:41,020 --> 00:18:46,660
+sphere حطيتها في مركز spherical shell الكرة ال
+
+259
+00:18:46,660 --> 00:18:50,040
+conductor حطيتها متحدة المركز
+
+260
+00:18:56,520 --> 00:19:01,720
+اسفريكال شيل شيل خميلي شوية بس conductor برضه
+
+261
+00:19:01,720 --> 00:19:05,980
+مصنوع من حاسب من مادة conductor بس هذا الشيل of
+
+262
+00:19:05,980 --> 00:19:09,680
+inner radius b and outer radius c عدى بعضهم ومشحون
+
+263
+00:19:09,680 --> 00:19:14,280
+الشيل has a net charge of minus q هجيت هذا الشيل
+
+264
+00:19:14,280 --> 00:19:17,720
+مشحون و conductor و الفحنة اللي بتكون عليه برضه
+
+265
+00:19:17,720 --> 00:19:20,620
+على الصفحه الخارجى ولا داخلى الخارجى نيجي نرسم
+
+266
+00:19:20,620 --> 00:19:24,230
+بقول يها دى الكورةالحمراء، الاتنين الـQ شايفين هما
+
+267
+00:19:24,230 --> 00:19:26,750
+دول وين موجودين؟ على السطح الخارجي، على السطح
+
+268
+00:19:26,750 --> 00:19:29,630
+الخارجي، جوا في الشحنات، بيقوللي أنا متحدت المركز
+
+269
+00:19:29,630 --> 00:19:34,190
+مع الشي اللي أزرق هذا، الزراق هو المصنوع من مادة
+
+270
+00:19:34,190 --> 00:19:37,490
+الحاسنة، افترض أن زراقه انعاز، تمام؟ حطته سالب
+
+271
+00:19:37,490 --> 00:19:41,330
+عشانه سالب، جالي مشحون بشحنات سالب Q، و الشحنات
+
+272
+00:19:41,330 --> 00:19:43,910
+سالب Q بتكون على السطح الخارجي ولا لا؟ محطتها على
+
+273
+00:19:43,910 --> 00:19:49,580
+السطح الخارجي، حلو، إيش بده؟بقولي find the
+
+274
+00:19:49,580 --> 00:19:52,900
+electric field in the regions في عدة مناطق ابدأ
+
+275
+00:19:52,900 --> 00:19:56,520
+الشمال regions inside the sphere يعني دي هو
+
+276
+00:19:56,520 --> 00:19:59,280
+المنطقة الحمراء صح صح صح صح صح صح صح صح صح صح صح
+
+277
+00:19:59,280 --> 00:20:01,540
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+278
+00:20:01,540 --> 00:20:02,620
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+279
+00:20:02,620 --> 00:20:04,960
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+280
+00:20:04,960 --> 00:20:05,000
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+281
+00:20:10,320 --> 00:20:14,660
+zero لأنه برضه conductor في المنطقة الزرقه مش برضه
+
+282
+00:20:14,660 --> 00:20:17,560
+لازم يكون zero برضه zero لأنه conductor اخوك قاللي
+
+283
+00:20:17,560 --> 00:20:21,240
+هذا conductor هى بقوللي the shell a conducting
+
+284
+00:20:21,240 --> 00:20:24,260
+spherical shell اذا ال shell conductor وانت
+
+285
+00:20:24,260 --> 00:20:28,900
+بتقوللي جوا اي conductor جدش ايه zero اذا zero و
+
+286
+00:20:28,900 --> 00:20:35,050
+المنطقة الرابعة and outside the shell يعني هنايعني
+
+287
+00:20:35,050 --> 00:20:37,510
+بيده المجال في المنطقة الحمرا في المنطقة البيضا
+
+288
+00:20:37,510 --> 00:20:40,730
+هذه في المنطقة الزرقا في المنطقة البيضا هذه اتفقنا
+
+289
+00:20:40,730 --> 00:20:44,630
+يا شباب؟ هاي المطلوب الأول ايش المطلوب التاني؟
+
+290
+00:20:44,630 --> 00:20:49,090
+بيقول ي determine .. determine the induced charge
+
+291
+00:20:49,090 --> 00:20:52,730
+on the inner and the outer surfaces of the shell
+
+292
+00:20:52,730 --> 00:20:56,710
+بيقولي قداش في عنده شحنات اتمركزت على السطح
+
+293
+00:20:56,710 --> 00:21:02,250
+الداخلي هذا وعلى السطح الخارجي هذابتشحن بالتأثير
+
+294
+00:21:02,250 --> 00:21:05,230
+واحدة واحدة تمام يا شباب فجيت المنطقة الأولى
+
+295
+00:21:05,230 --> 00:21:08,290
+الحمرا بتدرمزها بالرمز E1 يعني المنطقة الأولى
+
+296
+00:21:08,290 --> 00:21:11,170
+المنطقة التانية بتصير E2 المنطقة التالتة E3
+
+297
+00:21:11,170 --> 00:21:14,370
+والمنطقة الرابعة E4 زي ما انتوا حاكتهولي E1 وE3
+
+298
+00:21:14,370 --> 00:21:19,730
+Zero صح؟ يجيشوا كمان الحل solution و اتنين كمان
+
+299
+00:21:19,730 --> 00:21:24,670
+موجودةبتنية طبق أدنى بيشوف بيقول فاكر حل للمنطقة
+
+300
+00:21:24,670 --> 00:21:27,890
+لولا شباب لا حل ولا عمل ولا جوز ولا حاجة بيقول ال
+
+301
+00:21:27,890 --> 00:21:31,290
+synthesphere is conducting لأن ال conductor ليش هو
+
+302
+00:21:31,290 --> 00:21:35,200
+conductor هو كان ليه مش هو الدنيا معطق؟we conclude
+
+303
+00:21:35,200 --> 00:21:37,840
+that the electric field in the first region is
+
+304
+00:21:37,840 --> 00:21:41,640
+zero إذا هي المنطقة الأولى لو واحد طيب يعني IE هي
+
+305
+00:21:41,640 --> 00:21:46,620
+IE 1 0 مابتناش حل خلاص تمام إذا المنطقة الأولى بس
+
+306
+00:21:46,620 --> 00:21:49,720
+بقوله since it is a conductor or a conducting
+
+307
+00:21:49,720 --> 00:21:55,160
+region zero هذه المنطقة خلاص مافيش مجال تمام هاي
+
+308
+00:21:55,160 --> 00:22:01,400
+المنطقة الأولى تمام ليه جى؟In the second region
+
+309
+00:22:01,400 --> 00:22:05,480
+المنطقة البيضا هنا الشباب ايش بدي أسوي؟ يقول يا
+
+310
+00:22:05,480 --> 00:22:08,660
+عمار سطح جوز يسحق ال cash الشكل المشحون كراوي و
+
+311
+00:22:08,660 --> 00:22:12,660
+ليه مش كراوي؟ بينطبق عليه قوانق جوز ولا لا؟ ينطبق
+
+312
+00:22:12,660 --> 00:22:16,200
+بيقول إذا in the second region we select a
+
+313
+00:22:16,200 --> 00:22:19,840
+Gaussian surface والـ Gaussian surface فيه كلكم
+
+314
+00:22:19,840 --> 00:22:24,540
+عارفينه لأن الشكل المشحون كراوي with radius R و
+
+315
+00:22:24,540 --> 00:22:26,780
+الـR بين الـB و الـA عشان يكونوا في المنطقة البيضا
+
+316
+00:22:26,780 --> 00:22:28,580
+اللي بدي إياها هذه سطح جوز الشباب
+
+317
+00:22:32,770 --> 00:22:37,950
+أيوة شفتوا مشيك سطح جاوس طيب يلا جوا فيه شحنات
+
+318
+00:22:37,950 --> 00:22:41,970
+اللي هي المنطقة الحمراء كلها و لا لأ يعني انك هناك
+
+319
+00:22:41,970 --> 00:22:46,790
+يوجوا و لا لأ اذا فيه شحنات جانوا يزرحينSince E is
+
+320
+00:22:46,790 --> 00:22:50,410
+constant in magnitude over the Gaussian surface,
+
+321
+00:22:50,690 --> 00:22:53,150
+abnormal to it زي ما عملنا عدة مرات بالنسبة
+
+322
+00:22:53,150 --> 00:22:55,790
+للكورة، احنا بنتطلع E برا، وضبط ال product الله
+
+323
+00:22:55,790 --> 00:22:59,570
+ساهل عليها، اتجهله جوا التكامل دي إيه إيه، وتكامل
+
+324
+00:22:59,570 --> 00:23:02,890
+دي إيه إيه، وبنسوة أربعة by R تربية، ونضل عندك U N
+
+325
+00:23:02,890 --> 00:23:06,870
+جدش بتحط محلها، اتنين اتنين، صار E اتنين عشان
+
+326
+00:23:06,870 --> 00:23:10,030
+المنطقة التانية أنا فيهافي أربع عضايا التربيع
+
+327
+00:23:10,030 --> 00:23:13,850
+تكامل الـDA وهو الـArea أو الـGaussian Surface
+
+328
+00:23:13,850 --> 00:23:17,350
+بتساوي الـQin على الـEpsilon نوت واتسارت بيساوي ..
+
+329
+00:23:17,350 --> 00:23:20,810
+إيش بدة الـQin حطيت؟ إتنين الـQ في أي مشكلة شباب
+
+330
+00:23:20,810 --> 00:23:25,910
+إنه هادي هي هادي؟ طلع الجواب، إذا هاي إتنين طلعت،
+
+331
+00:23:25,910 --> 00:23:31,110
+صح ولا لا؟ طلع، تمام؟ لإن المنطقة التالتة كده
+
+332
+00:23:31,110 --> 00:23:37,350
+اتفقنا؟ Zeroفي المنطقة الثالثة الوضع الكهربائي يجب
+
+333
+00:23:37,350 --> 00:23:39,750
+أن يكون نزلًا نزلًا نزلًا نزلًا نزلًا نزلًا نزلًا
+
+334
+00:23:39,750 --> 00:23:42,750
+نزلن نزلن نزلن نزلن نزلن نزلن نزلن نزلن نزلن نزلن
+
+335
+00:23:42,750 --> 00:23:50,490
+نزلن نزلن نزلن
+
+336
+00:23:52,230 --> 00:23:56,330
+سؤالى انا الان واحد بيقولى حب حب عليا بيصحى اللى
+
+337
+00:23:56,330 --> 00:23:59,550
+اطبق قانون جاوس بيقولك بيصحى لك طب لو طبقت قانون
+
+338
+00:23:59,550 --> 00:24:06,130
+جاوس بيطلع زيرو بيقولك جرب جالى طب هاي سطح جاوس صح
+
+339
+00:24:06,130 --> 00:24:15,350
+شباب؟ في جوا شحنات؟ دي ال queue بيقولوا لأ فشي لأ
+
+340
+00:24:15,350 --> 00:24:19,530
+هي موجودة بس قاعدى بقولك وراحت قاعدى بقولك وراحت
+
+341
+00:24:19,530 --> 00:24:23,640
+اتسنى عليالازم تكون zero بعدين بفرجك كيف صلت zero
+
+342
+00:24:23,640 --> 00:24:28,880
+سنوا عليا شوية لأنه في شحنات بالتأثير قعدنا بنشوف
+
+343
+00:24:28,880 --> 00:24:33,220
+عليها بس واحدة واحدة قد أعلمها انا تمام قد اعلمها
+
+344
+00:24:33,220 --> 00:24:38,760
+حلواذا هذه المنطقة دي كم اتفاقنا؟ Zero لإنها جوا
+
+345
+00:24:38,760 --> 00:24:41,640
+conductor و هاد ال conductor معطى ..معطى ..هو
+
+346
+00:24:41,640 --> 00:24:45,220
+قاللي هاد ال conductor ..حلو In the last region
+
+347
+00:24:45,220 --> 00:24:48,220
+..أي منطقة اللي برا خالص .. المنطقة البيضة اللي
+
+348
+00:24:48,220 --> 00:24:51,400
+برا ..outside the shell we construct again a
+
+349
+00:24:51,400 --> 00:24:54,040
+Gaussian surface هل هي المنطقة البرانية خالص جوا
+
+350
+00:24:54,040 --> 00:24:58,740
+conductor؟لأ هل هذه جوة conductor لأ إذا ماوجهتش
+
+351
+00:24:58,740 --> 00:25:02,800
+أقول zero إذا إيش بدي أعمل طبق قانون جاوس يعني طبق
+
+352
+00:25:02,800 --> 00:25:06,180
+قانون جاوس لإن الشكل المشروع شكله كراوي قاللي هاي
+
+353
+00:25:06,180 --> 00:25:09,260
+سطح جاوس في هذه الحالة صح ولا لأ يا شباب هاي نقطة
+
+354
+00:25:09,260 --> 00:25:13,020
+برا جيبت انا اي نقطة برا في جوة شحنات بقوله اه في
+
+355
+00:25:13,020 --> 00:25:17,060
+شغلك ايه ال cell بكيه جوا و لكينكيه جوا ولا لأ طب
+
+356
+00:25:17,060 --> 00:25:21,460
+إيش بدي أسوي اجمحهم اجمحهم بيقوللي
+
+357
+00:25:22,940 --> 00:25:27,280
+هذه موجودة والاتنين Q موجودات صحيح ولا لا يا شباب؟
+
+358
+00:25:27,280 --> 00:25:29,840
+بدّي واحد منهم .. بدّيش يول واحد بديه يول او
+
+359
+00:25:29,840 --> 00:25:33,980
+الاتنين بديه يول؟ الاتنين جوا .. الاتنين جوا بيقول
+
+360
+00:25:33,980 --> 00:25:38,100
+لي ال surface enclose a total charge of السالب Q
+
+361
+00:25:38,100 --> 00:25:43,620
+والاتنين Q جمعتهم قدش طلع Q؟ بسهلة Gauss's law if
+
+362
+00:25:43,620 --> 00:25:46,840
+thing gives ايه أربعة متساوية كبت الـQ على أربعة
+
+363
+00:25:46,840 --> 00:25:52,120
+by إبسل نوت أربع طلعناهاهي استفسار الشباب نرجع
+
+364
+00:25:52,120 --> 00:25:55,600
+هديك كيف طلع السفر و طبقت قانون جاسم بينا مش سفر
+
+365
+00:25:55,600 --> 00:26:00,340
+شوف المقطوب التاني هو اللي بيجاوبنا هناك المقطوب
+
+366
+00:26:00,340 --> 00:26:02,940
+التاني بيقوللي إيش صار عندك اندوس تشاجج على ال
+
+367
+00:26:02,940 --> 00:26:06,460
+inner و على ال outer فكل زمان في أول محاضرة في
+
+368
+00:26:06,460 --> 00:26:11,360
+الفصل أديتكوا بهذا الشكل شباب قولت هذا conductor
+
+369
+00:26:11,360 --> 00:26:19,080
+وهذا عازل عن الأرض بتجرب هذه
+
+370
+00:26:23,700 --> 00:26:28,150
+قولتش صار هنا؟ قولت كل شحنات الساعة اللي بجربتو
+
+371
+00:26:28,150 --> 00:26:31,470
+الشحنات الموجة بقى أبعدات ليش أبعدات؟ لأنه فيه هنا
+
+372
+00:26:31,470 --> 00:26:35,410
+attractive و هنا repulsive طب هذا وقت إيش بيصير،
+
+373
+00:26:35,410 --> 00:26:38,270
+بقول بشرط إن هذا كون conductor إذا كان انسولاتر
+
+374
+00:26:38,270 --> 00:26:43,830
+تتحرك، بيكون الطرق مسكرة طيب قاللي هذا بنفع يكون
+
+375
+00:26:43,830 --> 00:26:46,050
+المنطقة الزرقى؟ بيقولوا هل المنطقة الزرقى كون
+
+376
+00:26:46,050 --> 00:26:48,170
+conductor أو مش كون conductor؟ كون conductor، لذا
+
+377
+00:26:48,170 --> 00:26:51,970
+بنفع قاللي طب هذا جسم مشحون طب هي المنطقة الحمراء
+
+378
+00:26:51,970 --> 00:26:56,660
+جسم مشحون ولا مش مشحون؟ مشحونقال ليه؟ إذا معناته
+
+379
+00:26:56,660 --> 00:27:00,200
+ال attractive و ال repulsive forces إيش بده يسوي؟
+
+380
+00:27:00,200 --> 00:27:06,860
+بيقولي هذه ال 2Q هتجمعلك سالب 2Q هنا و زائد 2Q هنا
+
+381
+00:27:10,000 --> 00:27:14,020
+بتأثيريا تأثيريا سفرتك من النقص Q موجودة و ليس مش
+
+382
+00:27:14,020 --> 00:27:18,620
+موجودة بفرجش معاك سؤالي الآن جدّيش الشحنات الكلية
+
+383
+00:27:18,620 --> 00:27:21,680
+الكلية ال net ت charge على المنطقة الزرقا على ال
+
+384
+00:27:21,680 --> 00:27:26,450
+shell الكلية ليش انسيت السريبي Q السريبي Q ضالةإذا
+
+385
+00:27:26,450 --> 00:27:29,710
+مافيش تناقض بالمعطيات هو قال لي ال net charge على
+
+386
+00:27:29,710 --> 00:27:33,790
+الشيل سلب كيو ما هي سلب كيو دلت لكن لو مافيش سلب
+
+387
+00:27:33,790 --> 00:27:36,650
+كيو بيضله الشيل متعادل ولا لا؟ متعادل بس يقعد
+
+388
+00:27:36,650 --> 00:27:41,330
+توزيعه عشان جنبه مؤثر حلو طب سؤالي الآن إيش بده
+
+389
+00:27:41,330 --> 00:27:44,050
+هو؟ بيقولي جدش فيه شحنات على ال inner surface و
+
+390
+00:27:44,050 --> 00:27:46,470
+جدش على ال outer surface ال inner surface جدش فيه
+
+391
+00:27:46,470 --> 00:27:52,350
+شحنات؟ سلب اتنين كيو طب و الأوتر؟ اتنين كيو سلب
+
+392
+00:27:52,350 --> 00:27:57,420
+كيو موجة بكيوتمام اذا معناته ايش بيقوللي the
+
+393
+00:27:57,420 --> 00:28:02,700
+charge on the sphere اللي هي الحمرة induces بتأثر
+
+394
+00:28:02,700 --> 00:28:09,400
+تعمل تأثيريا a charge of minus 2Q on the inner
+
+395
+00:28:09,400 --> 00:28:15,170
+sphere على اللي جنبها الجريبة هذا هي نقص 2Qمازال
+
+396
+00:28:15,170 --> 00:28:19,170
+عاملة نقصة 2Q، إيش بيكون فوق؟ 2Q برا، مازال إنت
+
+397
+00:28:19,170 --> 00:28:23,170
+جاذبة تسالب 2Q، لازم تكون 2Q جدها طلعت برا عشان
+
+398
+00:28:23,170 --> 00:28:27,450
+تكون متعادلة في الآخر، تمامهدول بتسميهم Infested
+
+399
+00:28:27,450 --> 00:28:32,830
+Charges تأثيريين هدول اجوا بالتأثير لإن هو أصلهم
+
+400
+00:28:32,830 --> 00:28:37,410
+هدول موجودين موجودين بس هم بالطبيعة موزعين عشوائيا
+
+401
+00:28:37,410 --> 00:28:40,070
+مش واحد يقولي أنا جري بواحد بعيد لأ بوين مكان
+
+402
+00:28:40,070 --> 00:28:44,030
+بروحوا لما اجى مؤثر اللي هي القوة الحمرة قالت
+
+403
+00:28:44,030 --> 00:28:49,010
+بيجيش عندي للمخالف والمشابه هم بيروح ويبعد عندي من
+
+404
+00:28:49,010 --> 00:28:52,530
+عندي حسب قوة ال attractive و ال repulsive تمام
+
+405
+00:28:53,840 --> 00:28:59,320
+الوضع المدفع على الوضع الخارجي سيكون اتنين Q هذا
+
+406
+00:28:59,320 --> 00:29:04,020
+الوضع المدفع لذلك الوضع المدفع على الوضع الخارجي
+
+407
+00:29:09,550 --> 00:29:13,890
+إذاً هذه جواب مطلوب التاني بقولي جدش في على ال
+
+408
+00:29:13,890 --> 00:29:17,350
+outer surface و بقوله Q وعلى ال inner surface ال
+
+409
+00:29:17,350 --> 00:29:21,570
+inner نقص 2Q ال induced سالب 2Q مظبوط ولا لأ إذا
+
+410
+00:29:21,570 --> 00:29:25,070
+صار عندي على الداخل نقص 2Q وعلى الخارج capital Q
+
+411
+00:29:25,070 --> 00:29:28,710
+هذا الجواب طب الأنش بيقولي بيقولي انت توي حاكتلي
+
+412
+00:29:28,710 --> 00:29:31,610
+في المنطقة الزرقه Zero بيقولي ايه توي حاكتلي اعمل
+
+413
+00:29:31,610 --> 00:29:36,230
+gauss surface في المنطقة الزرقه شايفين ال gas اتح
+
+414
+00:29:36,230 --> 00:29:38,810
+gas جدش فيه شحنات
+
+415
+00:29:41,880 --> 00:29:47,840
+اها0 طبعا صحيح زي ما اتكلمها اذا اه E0 استخدمت
+
+416
+00:29:47,840 --> 00:29:51,140
+قانون Gauss و لا ما استخدمت مش قانون Gauss لازم E
+
+417
+00:29:51,140 --> 00:29:55,840
+كون معاك 0 هيا if one construct a Gaussian surface
+
+418
+00:29:55,840 --> 00:29:59,620
+in that region اللي هي تبعي الزرقه هادي with
+
+419
+00:29:59,620 --> 00:30:02,960
+radius R أقل من 0 و أكبر من B يعني في المنطقة
+
+420
+00:30:02,960 --> 00:30:05,840
+الزرقه كمان مرة then it will charge inside that
+
+421
+00:30:05,840 --> 00:30:09,080
+surface اللي هو Gaussian surface must be 0 so the
+
+422
+00:30:09,080 --> 00:30:12,320
+electric field E3 is 0 as expected زي ما حكى في
+
+423
+00:30:12,320 --> 00:30:19,620
+الأولهي هم هدول اللي 2Q سلب 2Q زيرو إذا مافيش
+
+424
+00:30:19,620 --> 00:30:23,620
+شحنات في كل الأحوال حتى لو انت عملت سطح جاوس جوا
+
+425
+00:30:23,620 --> 00:30:28,100
+ال conductor مش هتلاقي شحنات إطلاقا حتى لو عملت
+
+426
+00:30:28,100 --> 00:30:29,820
+constructing لجاوز يان سيرفيس
+
+427
+00:30:33,590 --> 00:30:36,830
+لو ميأت الشحن اللي جوا، اللي عساسي يكون أكبر، لو
+
+428
+00:30:36,830 --> 00:30:39,590
+خليت الشحن اللي برا نفس الشيء، يمكن يكون فيه مجلة
+
+429
+00:30:39,590 --> 00:30:44,290
+.. يعني هذه خليتك خمسة Q، بس هنا سالب خمسة Q، هنا
+
+430
+00:30:44,290 --> 00:30:48,090
+زائد خمسة Qطيب و في الخارج سالب Q؟ و في الخارج
+
+431
+00:30:48,090 --> 00:30:50,950
+دايما هي هنا سالب خمسة Q هنا زي الخمسة Q هنا سالب
+
+432
+00:30:50,950 --> 00:30:54,930
+Q جديد الشحن الكلي عالم انتقال الزرقاء هي هي لإن
+
+433
+00:30:54,930 --> 00:30:57,730
+هدول سالب و موجد بيرقلوا بعض بالأول في الآخر صحيح
+
+434
+00:30:57,730 --> 00:31:01,630
+ولا لا لكن هم ايه التوزيع هم هذا كل ما كبرت كل ما
+
+435
+00:31:01,630 --> 00:31:04,710
+بيجمع أكتر ولا لا إذا هدول بيلحقوا هذا المؤثر
+
+436
+00:31:04,710 --> 00:31:08,270
+اتنين Q بياخد عنده اتنين Q خمسة Q بياخد عنده خمسة
+
+437
+00:31:08,270 --> 00:31:13,730
+Q و بيبقى نفسه من المقدار واضح؟ تمام شباب؟ انتهى
+
+438
+00:31:13,730 --> 00:31:15,190
+هذا ال chapter
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..46ec98fef3aebd61e926d8b1f191083a07040f02
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_raw.json
@@ -0,0 +1 @@
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"text": "infinity plane طيب اذا بدي اطبق قانون جوز بدي اجيب انا ايش ايه تطلعلي ياسج بقعدك في النوت مش هي بتطلع معايا ولا بتطلعاش عشان اطلع ايه عندي قانون كله يقولني انا اخد عنصر و مش عنصر شغل صعب لأنه سطح الفيل ولا اي سطح غريب صعب كيف ااخده قاللي اعتبره infinity plane طيب لما يكون infinity plane سطح جوز ايش بياخده؟", "tokens": [259, 5194, 507, 5720, 23032, 1829, 3555, 1975, 15730, 4724, 16254, 1975, 9566, 3555, 4587, 12174, 7649, 11536, 10874, 2407, 11622, 4724, 16254, 1975, 7435, 1829, 3555, 1975, 8315, 1975, 1829, 8592, 1975, 1829, 3224, 6055, 9566, 1211, 3615, 20292, 7251, 32277, 7435, 4724, 4587, 22488, 4117, 8978, 28239, 35473, 37893, 39896, 39894, 9566, 1211, 3615, 20449, 995, 25528, 49429, 39894, 9566, 1211, 3615, 33599, 6225, 8592, 7649, 1975, 9566, 1211, 3615, 1975, 1829, 3224, 18871, 16254, 12174, 7649, 11536, 28242, 3224, 7251, 39648, 22653, 1975, 8315, 1975, 9778, 3215, 18871, 9381, 2288, 4032, 37893, 18871, 9381, 2288, 13412, 17082, 1211, 20328, 3615, 3555, 5296, 33456, 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0.7850748697916666}, {"start": 1604.99, "end": 1605.19, "word": " بيقولوا", "probability": 0.6290283203125}, {"start": 1605.19, "end": 1605.33, "word": " هل", "probability": 0.345703125}, {"start": 1605.33, "end": 1605.65, "word": " المنطقة", "probability": 0.97509765625}, {"start": 1605.65, "end": 1605.89, "word": " الزرقى", "probability": 0.95556640625}, {"start": 1605.89, "end": 1606.05, "word": " كون", "probability": 0.9150390625}, {"start": 1606.05, "end": 1606.25, "word": " conductor", "probability": 0.50048828125}, {"start": 1606.25, "end": 1606.37, "word": " أو", "probability": 0.349853515625}, {"start": 1606.37, "end": 1606.47, "word": " مش", "probability": 0.8759765625}, {"start": 1606.47, "end": 1606.63, "word": " كون", "probability": 0.85595703125}, {"start": 1606.63, "end": 1607.23, "word": " conductor؟", "probability": 0.3826904296875}, {"start": 1607.23, "end": 1607.67, "word": " كون", "probability": 0.709228515625}, {"start": 1607.67, "end": 1607.99, "word": " 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جسم", "probability": 0.96826171875}, {"start": 1612.17, "end": 1612.45, "word": " مشحون", "probability": 0.9803059895833334}, {"start": 1612.45, "end": 1612.51, "word": " ولا", "probability": 0.57763671875}, {"start": 1612.51, "end": 1612.63, "word": " مش", "probability": 0.98388671875}, {"start": 1612.63, "end": 1613.69, "word": " مشحون؟", "probability": 0.953857421875}, {"start": 1613.69, "end": 1614.19, "word": " مشحون", "probability": 0.9689127604166666}], "temperature": 1.0}, {"id": 71, "seek": 162686, "start": 1614.72, "end": 1626.86, "text": "قال ليه؟ إذا معناته ال attractive و ال repulsive forces إيش بده يسوي؟ بيقولي هذه ال 2Q هتجمعلك سالب 2Q هنا و زائد 2Q هنا", "tokens": [4587, 6027, 32239, 3224, 22807, 11933, 15730, 20449, 8315, 47395, 2423, 12609, 4032, 2423, 1085, 32657, 5874, 11933, 1829, 8592, 47525, 3224, 7251, 3794, 45865, 22807, 4724, 1829, 39648, 1829, 29538, 2423, 568, 48, 8032, 2655, 7435, 2304, 3615, 23275, 8608, 6027, 3555, 568, 48, 34105, 4032, 30767, 16373, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8e102cb9d4e1ac6bc37d1b2c106f2f086965907e
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/8vb5qqRpnW8_raw.srt
@@ -0,0 +1,1760 @@
+1
+00:00:10,260 --> 00:00:15,920
+بسم الله الرحمن الرحيم نستكمل ما تبقى من charter 2
+
+2
+00:00:15,920 --> 00:00:21,000
+وجفنا عند conductors in electrostatic equilibrium
+
+3
+00:00:21,000 --> 00:00:24,600
+في بعض الخواص لل conductors في ال electrostatic
+
+4
+00:00:24,600 --> 00:00:31,540
+equilibrium نتعرف عليها و نثبتهاالكندكتور اتعرفنا
+
+5
+00:00:31,540 --> 00:00:36,740
+عليه بال chapter الاول وقلنا ان هو اي مادةتسمح
+
+6
+00:00:36,740 --> 00:00:43,340
+بمرور الشحنات freely through it تمام الآن بدي انا
+
+7
+00:00:43,340 --> 00:00:47,560
+اشحن ال conductor لو كان الكورة insulator زي ما
+
+8
+00:00:47,560 --> 00:00:52,740
+اخدنا في مثال سابق وشحنتها ووزعتها جوا وين الشحنة
+
+9
+00:00:52,740 --> 00:00:57,140
+انا بحطها بتظلها كما هي وبالتالي المرة دي اللي قلت
+
+10
+00:00:57,140 --> 00:01:00,420
+ان عندي conductor insulating sphere insulating
+
+11
+00:01:00,420 --> 00:01:04,340
+sphere sorry شحنتها و الشحنات اتوزعت على كل ال
+
+12
+00:01:04,340 --> 00:01:09,500
+volumeهذا لا يتعلق لو كانت الاسفير كوندكتر لو انا
+
+13
+00:01:09,500 --> 00:01:13,820
+حاطيت شحنتين جوا الاسفير بضل هم مش قاعدين due to
+
+14
+00:01:13,820 --> 00:01:17,700
+the reversive force between them they will go far
+
+15
+00:01:17,700 --> 00:01:21,080
+away from each other تمام؟ اذا بيقوللي if a
+
+16
+00:01:21,080 --> 00:01:25,240
+conductor is charged شحنة كوندكتر its charges will
+
+17
+00:01:25,240 --> 00:01:28,760
+move away from each other ليش؟ due to the
+
+18
+00:01:28,760 --> 00:01:32,300
+reversive force between them قوة التنافذ اللي
+
+19
+00:01:32,300 --> 00:01:36,790
+بينهم هتبعدهم عن بعضطبعا كوني انا بدي ابعدهم مع
+
+20
+00:01:36,790 --> 00:01:40,970
+بعض اقصى مسافة ممكنة وهذا بتقتش اللي على السطح
+
+21
+00:01:40,970 --> 00:01:45,230
+الخارجي بتقتش اللي على السطح الخارجي اذا مقولي for
+
+22
+00:01:45,230 --> 00:01:49,210
+the child to be as far away from each other as
+
+23
+00:01:49,210 --> 00:01:52,130
+they can they will move to the outer surface of
+
+24
+00:01:52,130 --> 00:01:57,010
+the conductor اذا من هذه القاعدةبس تنتج إن الشحنات
+
+25
+00:01:57,010 --> 00:02:00,230
+في ال conductor لازم تكون موزعة على السطح الخارجي
+
+26
+00:02:00,230 --> 00:02:06,670
+فقط لأن ال reverse force بتجبرهم يبعدوا عن بعض و
+
+27
+00:02:06,670 --> 00:02:10,270
+الأقصى
+
+28
+00:02:10,270 --> 00:02:13,230
+مسافة ممكن يكونوا بعض عن بعض هو على ال outer
+
+29
+00:02:13,230 --> 00:02:19,420
+surfaceتما انا شحنته مش يتحركوا وتوزعوا بعيده عن
+
+30
+00:02:19,420 --> 00:02:23,220
+بعض السقره بعد كده بطل في حركة للشحنات ما زال
+
+31
+00:02:23,220 --> 00:02:26,360
+الشحنات بطل هتتحرك بقول ال conductor صار في
+
+32
+00:02:26,360 --> 00:02:30,080
+equilibrium electrostatic equilibrium يعني خلاص
+
+33
+00:02:30,080 --> 00:02:32,680
+مافيش حركة للشحنات بيقول ال conductor with no
+
+34
+00:02:32,680 --> 00:02:35,860
+motion of charges مافيش حركة للشحنات are said to
+
+35
+00:02:35,860 --> 00:02:39,320
+be in electrostatic equilibrium في هذه الحالة إذا
+
+36
+00:02:39,320 --> 00:02:42,240
+معناته لما أقول electrostatic equilibrium معناته
+
+37
+00:02:42,240 --> 00:02:47,710
+الشحنات مالها واقفة مافيش حركة لهاsuch conductors
+
+38
+00:02:47,710 --> 00:02:53,710
+have the following properties في عندي عدة خواص بدي
+
+39
+00:02:53,710 --> 00:02:57,710
+أشرحها للكندكتر و مش أي كندكتر في ال electrostatic
+
+40
+00:02:57,710 --> 00:03:00,210
+equilibrium أول واحدة توي حكيتها
+
+41
+00:03:02,690 --> 00:03:06,750
+بيقول لي any exceeded charge will reside entirely
+
+42
+00:03:06,750 --> 00:03:10,790
+on the outer surface of an isolated conductor اللي
+
+43
+00:03:10,790 --> 00:03:13,550
+طبعا حاكيناها انه اي شحنة زيادة لما اشحن ال
+
+44
+00:03:13,550 --> 00:03:17,650
+conductor وين بتكون قاعدة على السطح الخارجي will
+
+45
+00:03:17,650 --> 00:03:22,530
+reside كليا on the outer surface of an isolated
+
+46
+00:03:22,530 --> 00:03:25,950
+conductor يعني في اي conductor جالي جديش جوا فيه
+
+47
+00:03:25,950 --> 00:03:30,050
+شحنات جديش جوا مافيش شحنات لان الشحنات وين بتكون
+
+48
+00:03:30,050 --> 00:03:35,890
+على السطح الخارجيطب سؤالى لان انا عندى solid
+
+49
+00:03:35,890 --> 00:03:40,390
+sphere solid يعني مصمطة مظبوط ولا لأ كلها مصنوعة
+
+50
+00:03:40,390 --> 00:03:45,590
+من نحاس ان جيت النحاس موزع على volume ولا على
+
+51
+00:03:45,590 --> 00:03:51,490
+surface؟ على volume لانه مصمطة حلوش عندها الشحنات
+
+52
+00:03:51,490 --> 00:03:57,000
+موزعة على volume ولا على surface؟ع ال surface يعني
+
+53
+00:03:57,000 --> 00:04:00,660
+بدي sigma و لا rho و لا lambda لأنه ع ال surface
+
+54
+00:04:00,660 --> 00:04:05,940
+بالرغم انه هي ثلج سفير لكن كون الشحنات فقط بتتوزع
+
+55
+00:04:05,940 --> 00:04:09,720
+على السطح اذا انا بتعامل the charge distributed
+
+56
+00:04:09,720 --> 00:04:13,080
+over the surface of the sphere and not through the
+
+57
+00:04:13,080 --> 00:04:16,880
+volume of the sphere لان انا هكون دكتور حلو طيب
+
+58
+00:04:16,880 --> 00:04:20,840
+احنا اتفقنا جديش هو الشحنات Zero طيب قولت Quran
+
+59
+00:04:22,580 --> 00:04:26,960
+كحالة خاصة، بدي أجيب شدة المجال الكهربائي جوا،
+
+60
+00:04:26,960 --> 00:04:30,340
+الكورة يتطبق عليها قانون جاوس ولا لأ؟ بدي أختار
+
+61
+00:04:30,340 --> 00:04:34,000
+صلة جاوس جوا الكورة، أختارت، وجيبت إيه بالراوضة
+
+62
+00:04:34,000 --> 00:04:38,700
+وقلتله جوا جاتش فيه شحنات؟ سفر، إذا في مجال جوا،
+
+63
+00:04:38,700 --> 00:04:43,200
+إذا مافيشش مجالبيقول لي bearing this property in
+
+64
+00:04:43,200 --> 00:04:46,580
+mind بزن انت جيت عندك شغلة و حطها في مخكك جوا ال
+
+65
+00:04:46,580 --> 00:04:50,800
+conductor فيه شحنات؟ هذه .. هذه مش موجودة if a
+
+66
+00:04:50,800 --> 00:04:54,940
+Gaussian surface is constructed inside such a
+
+67
+00:04:54,940 --> 00:04:59,420
+conductor it will not enclose any charge يعني qn
+
+68
+00:04:59,420 --> 00:05:04,460
+قداش؟ zero using Gauss's law we conclude that ..
+
+69
+00:05:04,460 --> 00:05:07,910
+هاي جاس سطح جاوس مافيش فيه جوا شحناتبقول لي the
+
+70
+00:05:07,910 --> 00:05:13,010
+electric field must be zero inside any conductor
+
+71
+00:05:13,010 --> 00:05:18,370
+بشرط يكون طبعا electrostatic equilibrium هذا أي
+
+72
+00:05:18,370 --> 00:05:22,670
+سطح جاس هنا فش QA طبعا أي سطح جاس فش QA معناته أدى
+
+73
+00:05:22,670 --> 00:05:26,630
+اللى بحكي عنه في الموضوع طبعا اذا الخاصية التانية
+
+74
+00:05:26,630 --> 00:05:30,880
+اللى بدهاش اثبات بعد كدهأي conductor أيش ما يكون
+
+75
+00:05:30,880 --> 00:05:35,700
+شكله جوا في مجال مافيش مجال هداني خاصية هدول خلاص
+
+76
+00:05:35,700 --> 00:05:39,160
+بدنا نستخدمهم في الحل حتى بدون إثبات الخاصية
+
+77
+00:05:39,160 --> 00:05:45,480
+التالتةبيقوللي the electric field just outside a
+
+78
+00:05:45,480 --> 00:05:49,640
+conductor is always perpendicular to the surface
+
+79
+00:05:49,640 --> 00:05:53,140
+of the conductor and equal to ويلها قيمة بيقوللي
+
+80
+00:05:53,140 --> 00:05:57,620
+شدة المجال just outside a conductor ايش الفرق بين
+
+81
+00:05:57,620 --> 00:06:04,190
+outside و just outside فرق المباشرةبالظبط مباشر
+
+82
+00:06:04,190 --> 00:06:07,170
+يعني هاج الغرفة مظبوط ولا لأ هاجت واحد في جبالي
+
+83
+00:06:07,170 --> 00:06:09,630
+outside الغرفة هادى ولا لأ بقدر اقول عنه just
+
+84
+00:06:09,630 --> 00:06:13,590
+outside الغرفة لازم يكون على الباب واقف عشان اقول
+
+85
+00:06:13,590 --> 00:06:16,850
+عنه just outside بيكون ملزق في الباب بس هو برا بس
+
+86
+00:06:16,850 --> 00:06:20,850
+من هنا على الباب من برا بقول عنه just outside واضح
+
+87
+00:06:20,850 --> 00:06:24,390
+شباب إذا كلمة just outside هو برا بس ملزق في السطح
+
+88
+00:06:24,390 --> 00:06:28,990
+تلزيق تمام بقوللي المجال برا just outside على
+
+89
+00:06:28,990 --> 00:06:34,990
+السطح من برا لازم يكون عموديو يساوي and equal to
+
+90
+00:06:34,990 --> 00:06:39,050
+sigma على y naught لازم يكون عمودي و بيساوي sigma
+
+91
+00:06:39,050 --> 00:06:44,150
+على y naught فبليش؟ بيقولي شغلة سهلة انت بتقول
+
+92
+00:06:44,150 --> 00:06:48,590
+ممنوع يكون في حركة ولا لأ؟ مش ممنوع يكون في حركة
+
+93
+00:06:48,590 --> 00:06:52,590
+عشان في عندك electrostatic equilibrium حلو؟ انا
+
+94
+00:06:52,590 --> 00:06:58,980
+جيت هذا الجسم كنت بكتر انا حاطط هنا شحناتتمام؟
+
+95
+00:06:58,980 --> 00:07:02,120
+عالسطح مش عالسطح الخارجى هلجيت لو كان في قد قوة
+
+96
+00:07:02,120 --> 00:07:07,000
+بهذا الشكل .. قوة بهذا الشكل بقدر تتحرك الشحنة؟
+
+97
+00:07:07,000 --> 00:07:12,660
+تقعد تتحرك هيك؟ تنجي من هنا لهنا؟ ليش؟ لأنه في وسط
+
+98
+00:07:12,660 --> 00:07:16,340
+عزل اللي هو الفرق صح ولا لأ؟ لكن لو اجيت انا
+
+99
+00:07:16,340 --> 00:07:18,840
+جريتها وقلت لها تنجي من هنا لهان؟ تنجر معايا لأن
+
+100
+00:07:18,840 --> 00:07:22,240
+هنا في طرق سالكة صح ولا لأ؟ طيب بيقول ايه زي
+
+101
+00:07:22,240 --> 00:07:24,860
+معناته؟ عشان تضمن ادم وجد حركة ممنوع يكون في قوة
+
+102
+00:07:24,860 --> 00:07:29,150
+بهذا الشكلفح؟ ممنوع يكون قوة بهذا الشكل .. تكون
+
+103
+00:07:29,150 --> 00:07:31,690
+قوة بهذا الشكل هي حرة .. تكون قوة بهذا الشكل ..
+
+104
+00:07:31,690 --> 00:07:35,810
+لأنه مش هتتخلق في كل أحوال .. لكن تكون قوة مماسية
+
+105
+00:07:35,810 --> 00:07:40,090
+.. هيك أو هيك .. مماس .. ممنوع تكون قوة مماسية ..
+
+106
+00:07:40,090 --> 00:07:45,430
+إذا القوة لازم تكون عمودية .. طبعا قوة مش بتيجي من
+
+107
+00:07:45,430 --> 00:07:52,760
+المجال ذاكرين القانون .. F بتساوي Q في Eإذا هذه
+
+108
+00:07:52,760 --> 00:07:56,900
+عمودية، يعني هذه عمودية. صح ولا لا؟ ده الشحنات.
+
+109
+00:07:57,920 --> 00:08:01,060
+إيه كبير تتحرك؟ إذا فيها .. إذا موجودة في مجال،
+
+110
+00:08:01,060 --> 00:08:05,200
+بصير عليها قوة. إذا بيقوللي، المجال لازم يكون
+
+111
+00:08:05,200 --> 00:08:08,120
+عمودي، لأنه في مجال، لأنه فيه شحنات. إذا في مجال،
+
+112
+00:08:08,120 --> 00:08:09,780
+بيقوللي، إذا المجال لازم يكون عمودي، ممكن يكون
+
+113
+00:08:09,780 --> 00:08:12,760
+مماسي. لأن إذا كان مماسي، فتتحركش الشحنات. وهذا
+
+114
+00:08:12,760 --> 00:08:18,370
+بناقض مبدأ ال equilibrium تبعك. فبيقوللي،إذا لم
+
+115
+00:08:18,370 --> 00:08:22,550
+يكن هذا الحال عمودي إذا لم يكن هذا الحال عمودي إذا
+
+116
+00:08:22,550 --> 00:08:23,870
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+117
+00:08:23,870 --> 00:08:23,890
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+118
+00:08:23,890 --> 00:08:23,930
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+119
+00:08:23,930 --> 00:08:26,510
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+120
+00:08:26,510 --> 00:08:28,230
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+121
+00:08:28,230 --> 00:08:28,610
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+122
+00:08:28,610 --> 00:08:29,990
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+123
+00:08:29,990 --> 00:08:31,810
+لم يكن هذا حال عمودي إذا لم يكن هذا حال عمودي إذا
+
+124
+00:08:31,810 --> 00:08:36,980
+لم يكن هذا حالوهذا يفعّل تجارب الإيقاليبريام
+
+125
+00:08:36,980 --> 00:08:39,740
+ويتحرك أنت تقول إيقاليبريام بطل فيه إيقاليبريام
+
+126
+00:08:39,740 --> 00:08:43,540
+إذا الممنوعة تكون مماسية لازم تكون عمودية إذا
+
+127
+00:08:43,540 --> 00:08:46,420
+المجال لازم يكون عمودي just outside the contact
+
+128
+00:08:46,420 --> 00:08:52,920
+tower واضح شباب عدم عمديته وعدم كونه عمودي بيعمل
+
+129
+00:08:52,920 --> 00:08:56,180
+violation لإيش للإيقاليبريام واضح شباب بصي فيها
+
+130
+00:08:56,180 --> 00:08:59,520
+حركة طب كيف نويجي بتسجل على أبسل نوت جالي بيجي
+
+131
+00:08:59,520 --> 00:09:06,000
+جربت جالي just outsideذاكرين ال disk اللى كان نصف
+
+132
+00:09:06,000 --> 00:09:10,940
+قطره R قولت هذا بصير infinite plane في حالتين لا R
+
+133
+00:09:10,940 --> 00:09:16,220
+كبيرة لا نقطة جريبة صحطيب لما تكون جريبة كتير بقدر
+
+134
+00:09:16,220 --> 00:09:19,620
+اعتبر ال plane infinite ولا لأ؟ ذاكرين النملة و
+
+135
+00:09:19,620 --> 00:09:23,900
+الفيل؟ هجات النملة بقدر اقول عنها و هي على دهر
+
+136
+00:09:23,900 --> 00:09:28,520
+الفيل just outside the surface of the elephant صح
+
+137
+00:09:28,520 --> 00:09:33,020
+ولا لأ؟ طيب في هذه الحالة سطح الفيل بقدر اعتبره
+
+138
+00:09:33,020 --> 00:09:36,170
+infinity plane ولا لأ؟infinity plane طيب اذا بدي
+
+139
+00:09:36,170 --> 00:09:39,610
+اطبق قانون جوز بدي اجيب انا ايش ايه تطلعلي ياسج
+
+140
+00:09:39,610 --> 00:09:42,350
+بقعدك في النوت مش هي بتطلع معايا ولا بتطلعاش عشان
+
+141
+00:09:42,350 --> 00:09:46,090
+اطلع ايه عندي قانون كله يقولني انا اخد عنصر و مش
+
+142
+00:09:46,090 --> 00:09:51,010
+عنصر شغل صعب لأنه سطح الفيل ولا اي سطح غريب صعب
+
+143
+00:09:51,010 --> 00:09:55,810
+كيف ااخده قاللي اعتبره infinity plane طيب لما يكون
+
+144
+00:09:55,810 --> 00:09:58,030
+infinity plane سطح جوز ايش بياخده؟
+
+145
+00:10:00,520 --> 00:10:02,960
+استغرقنا مع اتفاقنا متواجد المستخدمات بلا ننساه
+
+146
+00:10:02,960 --> 00:10:06,800
+اثباتنا انه ممكن يديك نفس النتيجة لكن انساه لانه
+
+147
+00:10:06,800 --> 00:10:12,880
+تبع 6 أسطح حلو الآن بدي اجي اطبق خانون gauss عليه
+
+148
+00:10:12,880 --> 00:10:16,220
+بيقول لي let us now use gauss's law هدف المنطقة
+
+149
+00:10:16,220 --> 00:10:20,310
+الحمره هو دهر الفيلأو I conductor تمام؟ لما قول
+
+150
+00:10:20,310 --> 00:10:23,430
+just outside انا جريب كتير عليه صار infinite السطح
+
+151
+00:10:23,430 --> 00:10:27,490
+اذا انا infinite اعتبره desk اخدت سطح جاس الأصفر
+
+152
+00:10:27,490 --> 00:10:31,050
+شايفين و هدا هجيت زكرينا احنا لما اخدنا سطح جاخ و
+
+153
+00:10:31,050 --> 00:10:34,190
+قولنا انا بدي اعملها بحيث انها بتظهر عليكم هجيت
+
+154
+00:10:34,190 --> 00:10:37,070
+هادي بدي احطها على دهر الفيل بدي اكون هادي وين
+
+155
+00:10:37,070 --> 00:10:42,350
+راحت؟ جوا جوا الفيل و هادي برا صح ولا لأ هجيت
+
+156
+00:10:42,350 --> 00:10:47,770
+الفيل او هدا conductor جوا فيه شحناتفي شحنة جوا مش
+
+157
+00:10:47,770 --> 00:10:51,690
+كنت دكتور مصمط انت طب ماكنت معايا ولا ماكنتش
+
+158
+00:10:51,690 --> 00:10:56,570
+معايا؟ لما كنت بتقولك كرة مصمطة من النحاس شحنهافي
+
+159
+00:10:56,570 --> 00:11:01,970
+جوه شحنات؟ لأ كنت دكتور طيب هال gate ها دي مش انها
+
+160
+00:11:01,970 --> 00:11:07,430
+تلت أسطح شباب لسه ولا سفرة القاعدة اللي جوه في أي
+
+161
+00:11:07,430 --> 00:11:20,670
+مجال بيخترقها لأ لأ لأ لأ لأ لأ لأ لأ
+
+162
+00:11:20,670 --> 00:11:21,290
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+163
+00:11:21,290 --> 00:11:21,750
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+164
+00:11:21,750 --> 00:11:24,870
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+165
+00:11:24,870 --> 00:11:24,870
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+166
+00:11:24,870 --> 00:11:27,830
+لأ لأ لأ لأ لأ لأ لفي اي خاط مجال عليها؟ لأ مش هي
+
+167
+00:11:27,830 --> 00:11:31,610
+جوا اي conductor مافيش فيه مجال اذا هنا مافيش مجال
+
+168
+00:11:31,610 --> 00:11:36,590
+طب و هذه عموديه شايفين اي مشاجوننا عموديه؟ اذا سفر
+
+169
+00:11:36,590 --> 00:11:41,090
+هذه روحت وهذه روحت دلت هذه ان هي هذه البس هذه
+
+170
+00:11:41,090 --> 00:11:46,550
+البرانية المجال بيخترقها باتجاه عمودي ولا لأ اذا
+
+171
+00:11:46,550 --> 00:11:53,160
+نضبت ال product روحت اذا اي في ايقال له انك عندما
+
+172
+00:11:53,160 --> 00:11:56,720
+دخلت هذه الورقة و اتطلعت على سطح الجاسوس وجدت جزء
+
+173
+00:11:56,720 --> 00:12:01,800
+من الورقة او من سطح الفيل هذه بس بديها سيجما في
+
+174
+00:12:01,800 --> 00:12:06,840
+هذه المساحة اذا بتساوي سيجما في ا راحت ا مع ا اذا
+
+175
+00:12:06,840 --> 00:12:11,260
+ا بيساوي سيجما على ابسلون نوت طلعي جواب نجينكوف
+
+176
+00:12:12,910 --> 00:12:16,750
+حاضر حاجة كاتبها هنا بدعيتها بقول but the base
+
+177
+00:12:16,750 --> 00:12:22,870
+القاعدة inside the conductor has no flux ليش لأنه
+
+178
+00:12:22,870 --> 00:12:26,830
+مش هو ال flux شباب خطوط مجال اخترقت في أي مجال
+
+179
+00:12:26,830 --> 00:12:30,090
+اخترقتها القاعدة الدجوانية لأ لإن مافيش مجال دجوة
+
+180
+00:12:30,090 --> 00:12:34,790
+فاهمت عليها has no fluxThrough it .. ليش .. since
+
+181
+00:12:34,790 --> 00:12:38,790
+E بتساوي Zero inside .. حلو .. and the flux
+
+182
+00:12:38,790 --> 00:12:42,750
+through the curved surface اللي لها في فهده .. is
+
+183
+00:12:42,750 --> 00:12:46,250
+Zero .. ليش .. since E is normal to the area ..
+
+184
+00:12:46,250 --> 00:12:49,790
+فيه عندي قصان تسعين .. hence the last two
+
+185
+00:12:49,790 --> 00:12:53,570
+integrals vanish .. leaving us with .. ضال عندي
+
+186
+00:12:53,570 --> 00:12:59,220
+تكامل ..E تكامل الـ DAA بتساوي QN على إبسل النوت
+
+187
+00:12:59,220 --> 00:13:04,880
+الـ QN إيش اتفقنا بتساوي سجمة في E طير A مع A طلعت
+
+188
+00:13:04,880 --> 00:13:08,660
+E بتساوي سجمة على إبسل النوت وهذا أثبت الخاصية
+
+189
+00:13:08,660 --> 00:13:12,340
+التالتة إذا عندي الآن أي conductor أي conductor
+
+190
+00:13:12,340 --> 00:13:15,700
+بشرط يكون في عندي الوثيوكتراتيكيكيكوليبريام يعني
+
+191
+00:13:15,700 --> 00:13:19,780
+مايكونش في عندي شحنات بتتحركطبعا شباب لأنه لما
+
+192
+00:13:19,780 --> 00:13:21,860
+يكون الشحنات بتتحرك يعني لما يقول في عندي تيار
+
+193
+00:13:21,860 --> 00:13:24,620
+كهربائي شباب التيار الكهربائي إيش هو مش شحنات
+
+194
+00:13:24,620 --> 00:13:28,300
+بتتحرك هذه الخواصلة تنطبق لإنه بقطر في عندي
+
+195
+00:13:28,300 --> 00:13:31,560
+equilibrium لإنه لما يقول في عندي تيار و هو تيار
+
+196
+00:13:31,560 --> 00:13:35,340
+بيمشي غير بconductors مش الأسلاك انحاس طب هاي ال
+
+197
+00:13:35,340 --> 00:13:37,600
+conductor دلوقتي فيه شحنات بيقولوا أه ما هو ده مش
+
+198
+00:13:37,600 --> 00:13:41,800
+equilibriumمن يحط الشحنات مجبر الشحنات تكون جوا
+
+199
+00:13:41,800 --> 00:13:45,660
+لإيش؟ لإن تحطه بين فرق جهد وفرق جهد هو عبارة عن
+
+200
+00:13:45,660 --> 00:13:49,280
+قوة وبالتالي هذه القواص لا تنطبق إلا لما يكون
+
+201
+00:13:49,280 --> 00:13:52,940
+مافيش عندك حركة شحنات وتيار حركة انسى لما يكون
+
+202
+00:13:52,940 --> 00:13:57,620
+عندك تيار هادي القواص لا تنطبق بثباتة صحيحة تمام
+
+203
+00:13:57,620 --> 00:14:03,040
+اشي الخواصالـ Conductor اشحناء بتكون شحنات وين؟
+
+204
+00:14:03,040 --> 00:14:07,520
+على السطح الخارجي هذه القاعدة على طول تجديك نتيجة
+
+205
+00:14:07,520 --> 00:14:12,160
+القاعدة التانية ان جوا .. جديش المجال؟ Zero
+
+206
+00:14:12,160 --> 00:14:17,820
+الخاصية التالتة بيقول المجال just outside is
+
+207
+00:14:17,820 --> 00:14:20,900
+normal to the surface and equal to sigma على
+
+208
+00:14:20,900 --> 00:14:24,700
+epsilon node خليني انا أشرح حاجة كمان مرة أثبتها
+
+209
+00:14:24,700 --> 00:14:28,100
+أثبتها كمان مرة أثبتناها قبل كده يا شباب نقول
+
+210
+00:14:30,700 --> 00:14:34,980
+هذا كوندكتر شحن
+
+211
+00:14:34,980 --> 00:14:42,520
+طوله شحن تكون نصف قطر و إيه هجيت أنا بدي أجيب شدة
+
+212
+00:14:42,520 --> 00:14:46,480
+المجال الكهربائي عنده نقطة هذه وهذه بتبقى المسافة
+
+213
+00:14:46,480 --> 00:14:50,880
+R هجيت بقدر أقول هذي just outside ولا outside عشان
+
+214
+00:14:50,880 --> 00:14:55,210
+تصيح just outside كده مش بيتبعد عن السطحةأيه؟ ايه؟
+
+215
+00:14:55,210 --> 00:14:58,930
+لازم تكون هنا جربت صح؟ خليني اعتبرها outside مش
+
+216
+00:14:58,930 --> 00:15:01,430
+just outside بعدين هجيبها just outside النيح شباب
+
+217
+00:15:01,430 --> 00:15:04,490
+كيف بدي اجيب ايه الآن هو ايه بيقول لي لازم تكون
+
+218
+00:15:04,490 --> 00:15:07,650
+sigma على epsilon not اذا كانت just outside صح؟
+
+219
+00:15:07,650 --> 00:15:11,690
+اول بدي اجيبها outside انا مش كراوي ولا مش كراوي؟
+
+220
+00:15:11,690 --> 00:15:16,050
+بقدر اطبق قانون جاوس؟ هالسطح جاوس ولا لا يا شباب؟
+
+221
+00:15:16,050 --> 00:15:19,630
+يلا نحل هشوف أكتر سطر بياخد معايا كيف بدي احل؟
+
+222
+00:15:19,630 --> 00:15:27,590
+بقول التكامن المغلق لإيه؟.da بتساوي qn على ايسلون
+
+223
+00:15:27,590 --> 00:15:32,210
+نوت انا اشتغلت صح اختلط سطح جاوس صح و بطبق على شكل
+
+224
+00:15:32,210 --> 00:15:36,010
+صح ماعرفته E is constant صح ولا لا و الـ.product
+
+225
+00:15:36,010 --> 00:15:39,270
+الله سهل عليها عدة مرات عملناها اذا E ايش ده اللي
+
+226
+00:15:39,270 --> 00:15:45,010
+هو التكامل ايه اربعة by R تربية مساحة سطح جاوس صح
+
+227
+00:15:45,010 --> 00:15:52,700
+ماجدش qn على ايسلون نوت ايه دهE بيتساوي capital Q
+
+228
+00:15:52,700 --> 00:15:57,060
+على 4π R تربيه Epsilon نوت هاي الجواب صح ولا لا
+
+229
+00:15:57,060 --> 00:16:01,640
+هادي E outside a conductor طب بديها just outside
+
+230
+00:16:01,640 --> 00:16:06,740
+ايش خلي في آرش صحيح ايه ايه صح just outside صح ولا
+
+231
+00:16:06,740 --> 00:16:15,200
+لا طب حلو هادي just outside طب اش هي هادي لأ فيه Q
+
+232
+00:16:15,200 --> 00:16:19,920
+جواها وEpsilon نوت ضارة سيجما
+
+233
+00:16:21,380 --> 00:16:26,360
+مش شحنة على سطح مش شحنة على سطح على مساحة وشحنة
+
+234
+00:16:26,360 --> 00:16:29,680
+على مساحة ايش بتدي سيجما هي طلعت سيجما على ابسلون
+
+235
+00:16:29,680 --> 00:16:36,860
+نوت هي طلعت هذه سيجما زي ما أنا متوقع سيجما على
+
+236
+00:16:36,860 --> 00:16:43,120
+ابسلون نوت اذا for any conductor E is normal and
+
+237
+00:16:43,120 --> 00:16:46,140
+equal sigma على ابسلون نوت هذه قاعدة معروفة
+
+238
+00:16:52,180 --> 00:16:56,160
+ليش؟ انت وقعد تدخل وحاجيت انت هيك هنا ويعمل السطح
+
+239
+00:16:56,160 --> 00:17:02,740
+جاوز فيك، جوا فيه شحنة، حاجاتي انت just outside
+
+240
+00:17:02,740 --> 00:17:07,460
+this room تمام؟ وروحت قولت انا بدي احوط كل الغرف
+
+241
+00:17:07,460 --> 00:17:10,770
+from إيدياتمام؟ قدرت اي دي كتب
+
+242
+00:17:10,770 --> 00:17:37,410
+وااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااا
+
+243
+00:17:37,440 --> 00:17:41,780
+عبادهم ولا معبادهم ايش؟ كلهم عبادهمتمام يا شباب؟
+
+244
+00:17:41,780 --> 00:17:45,760
+اي استفسار اخر اذا هاي عندى التلات خواص اللى بداش
+
+245
+00:17:45,760 --> 00:17:48,800
+ننساهم ماذا يقل ال conductor عشان كده في الأسئلة
+
+246
+00:17:48,800 --> 00:17:51,600
+هيقولك conductor وقول insulator هيكون عندك فى فرق
+
+247
+00:17:51,600 --> 00:17:54,600
+لما يكون ال conductor ريحك لو قالك اودي تشدتي
+
+248
+00:17:54,600 --> 00:17:57,620
+المجال داخل ال conductor بدي احل؟ بديش احل بقول
+
+249
+00:17:57,620 --> 00:17:59,920
+since it is a conductor لذا ايه بتساوي zero على
+
+250
+00:17:59,920 --> 00:18:03,880
+طول بديش احل خلاص هذه قاعدة صارت نظرية ان جوا ال
+
+251
+00:18:03,880 --> 00:18:07,140
+conductor جديش في المجال zero و الشحنات في جوا
+
+252
+00:18:07,140 --> 00:18:11,070
+شحنات لا خلاص تنتهي القضية على ايهتمام نحي المثال
+
+253
+00:18:11,070 --> 00:18:16,950
+اخر مثال في هذا الشطر بيقول لي a conducting sphere
+
+254
+00:18:16,950 --> 00:18:21,630
+if ال sphere conductor في جواها شحنات جديش المجال
+
+255
+00:18:21,630 --> 00:18:28,790
+جوا؟ zero of radius a has a net charge اتنين Q
+
+256
+00:18:28,790 --> 00:18:32,530
+عليها شحنات اتنين Q بمدى ما اديك ارقام اتنين Q
+
+257
+00:18:32,530 --> 00:18:36,750
+شباب يعني فيها شحنات اتنين Q الشحنات اللي عليها
+
+258
+00:18:36,750 --> 00:18:41,020
+بيقول لي روح اتحققها هذهconcentric with this
+
+259
+00:18:41,020 --> 00:18:46,660
+sphere حطيتها في مركز spherical shell الكرة ال
+
+260
+00:18:46,660 --> 00:18:50,040
+conductor حطيتها متحدة المركز
+
+261
+00:18:56,520 --> 00:19:01,720
+اسفريكال شيل شيل خميلي شوية بس conductor برضه
+
+262
+00:19:01,720 --> 00:19:05,980
+مصنوع من حاسب من مادة conductor بس هذا الشيل of
+
+263
+00:19:05,980 --> 00:19:09,680
+inner radius b and outer radius c عدى بعضهم ومشحون
+
+264
+00:19:09,680 --> 00:19:14,280
+الشيل has a net charge of minus q هجيت هذا الشيل
+
+265
+00:19:14,280 --> 00:19:17,720
+مشحون و conductor و الفحنة اللي بتكون عليه برضه
+
+266
+00:19:17,720 --> 00:19:20,620
+على الصفحه الخارجى ولا داخلى الخارجى نيجي نرسم
+
+267
+00:19:20,620 --> 00:19:24,230
+بقول يها دى الكورةالحمراء، الاتنين الـQ شايفين هما
+
+268
+00:19:24,230 --> 00:19:26,750
+دول وين موجودين؟ على السطح الخارجي، على السطح
+
+269
+00:19:26,750 --> 00:19:29,630
+الخارجي، جوا في الشحنات، بيقوللي أنا متحدت المركز
+
+270
+00:19:29,630 --> 00:19:34,190
+مع الشي اللي أزرق هذا، الزراق هو المصنوع من مادة
+
+271
+00:19:34,190 --> 00:19:37,490
+الحاسنة، افترض أن زراقه انعاز، تمام؟ حطته سالب
+
+272
+00:19:37,490 --> 00:19:41,330
+عشانه سالب، جالي مشحون بشحنات سالب Q، و الشحنات
+
+273
+00:19:41,330 --> 00:19:43,910
+سالب Q بتكون على السطح الخارجي ولا لا؟ محطتها على
+
+274
+00:19:43,910 --> 00:19:49,580
+السطح الخارجي، حلو، إيش بده؟بقولي find the
+
+275
+00:19:49,580 --> 00:19:52,900
+electric field in the regions في عدة مناطق ابدأ
+
+276
+00:19:52,900 --> 00:19:56,520
+الشمال regions inside the sphere يعني دي هو
+
+277
+00:19:56,520 --> 00:19:59,280
+المنطقة الحمراء صح صح صح صح صح صح صح صح صح صح صح
+
+278
+00:19:59,280 --> 00:20:01,540
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+279
+00:20:01,540 --> 00:20:02,620
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+280
+00:20:02,620 --> 00:20:02,620
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+281
+00:20:02,620 --> 00:20:04,960
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+282
+00:20:04,960 --> 00:20:05,000
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+283
+00:20:10,320 --> 00:20:14,660
+zero لأنه برضه conductor في المنطقة الزرقه مش برضه
+
+284
+00:20:14,660 --> 00:20:17,560
+لازم يكون zero برضه zero لأنه conductor اخوك قاللي
+
+285
+00:20:17,560 --> 00:20:21,240
+هذا conductor هى بقوللي the shell a conducting
+
+286
+00:20:21,240 --> 00:20:24,260
+spherical shell اذا ال shell conductor وانت
+
+287
+00:20:24,260 --> 00:20:28,900
+بتقوللي جوا اي conductor جدش ايه zero اذا zero و
+
+288
+00:20:28,900 --> 00:20:35,050
+المنطقة الرابعة and outside the shell يعني هنايعني
+
+289
+00:20:35,050 --> 00:20:37,510
+بيده المجال في المنطقة الحمرا في المنطقة البيضا
+
+290
+00:20:37,510 --> 00:20:40,730
+هذه في المنطقة الزرقا في المنطقة البيضا هذه اتفقنا
+
+291
+00:20:40,730 --> 00:20:44,630
+يا شباب؟ هاي المطلوب الأول ايش المطلوب التاني؟
+
+292
+00:20:44,630 --> 00:20:49,090
+بيقول ي determine .. determine the induced charge
+
+293
+00:20:49,090 --> 00:20:52,730
+on the inner and the outer surfaces of the shell
+
+294
+00:20:52,730 --> 00:20:56,710
+بيقولي قداش في عنده شحنات اتمركزت على السطح
+
+295
+00:20:56,710 --> 00:21:02,250
+الداخلي هذا وعلى السطح الخارجي هذابتشحن بالتأثير
+
+296
+00:21:02,250 --> 00:21:05,230
+واحدة واحدة تمام يا شباب فجيت المنطقة الأولى
+
+297
+00:21:05,230 --> 00:21:08,290
+الحمرا بتدرمزها بالرمز E1 يعني المنطقة الأولى
+
+298
+00:21:08,290 --> 00:21:11,170
+المنطقة التانية بتصير E2 المنطقة التالتة E3
+
+299
+00:21:11,170 --> 00:21:14,370
+والمنطقة الرابعة E4 زي ما انتوا حاكتهولي E1 وE3
+
+300
+00:21:14,370 --> 00:21:19,730
+Zero صح؟ يجيشوا كمان الحل solution و اتنين كمان
+
+301
+00:21:19,730 --> 00:21:24,670
+موجودةبتنية طبق أدنى بيشوف بيقول فاكر حل للمنطقة
+
+302
+00:21:24,670 --> 00:21:27,890
+لولا شباب لا حل ولا عمل ولا جوز ولا حاجة بيقول ال
+
+303
+00:21:27,890 --> 00:21:31,290
+synthesphere is conducting لأن ال conductor ليش هو
+
+304
+00:21:31,290 --> 00:21:35,200
+conductor هو كان ليه مش هو الدنيا معطق؟we conclude
+
+305
+00:21:35,200 --> 00:21:37,840
+that the electric field in the first region is
+
+306
+00:21:37,840 --> 00:21:41,640
+zero إذا هي المنطقة الأولى لو واحد طيب يعني IE هي
+
+307
+00:21:41,640 --> 00:21:46,620
+IE 1 0 مابتناش حل خلاص تمام إذا المنطقة الأولى بس
+
+308
+00:21:46,620 --> 00:21:49,720
+بقوله since it is a conductor or a conducting
+
+309
+00:21:49,720 --> 00:21:55,160
+region zero هذه المنطقة خلاص مافيش مجال تمام هاي
+
+310
+00:21:55,160 --> 00:22:01,400
+المنطقة الأولى تمام ليه جى؟In the second region
+
+311
+00:22:01,400 --> 00:22:05,480
+المنطقة البيضا هنا الشباب ايش بدي أسوي؟ يقول يا
+
+312
+00:22:05,480 --> 00:22:08,660
+عمار سطح جوز يسحق ال cash الشكل المشحون كراوي و
+
+313
+00:22:08,660 --> 00:22:12,660
+ليه مش كراوي؟ بينطبق عليه قوانق جوز ولا لا؟ ينطبق
+
+314
+00:22:12,660 --> 00:22:16,200
+بيقول إذا in the second region we select a
+
+315
+00:22:16,200 --> 00:22:19,840
+Gaussian surface والـ Gaussian surface فيه كلكم
+
+316
+00:22:19,840 --> 00:22:24,540
+عارفينه لأن الشكل المشحون كراوي with radius R و
+
+317
+00:22:24,540 --> 00:22:26,780
+الـR بين الـB و الـA عشان يكونوا في المنطقة البيضا
+
+318
+00:22:26,780 --> 00:22:28,580
+اللي بدي إياها هذه سطح جوز الشباب
+
+319
+00:22:32,770 --> 00:22:37,950
+أيوة شفتوا مشيك سطح جاوس طيب يلا جوا فيه شحنات
+
+320
+00:22:37,950 --> 00:22:41,970
+اللي هي المنطقة الحمراء كلها و لا لأ يعني انك هناك
+
+321
+00:22:41,970 --> 00:22:46,790
+يوجوا و لا لأ اذا فيه شحنات جانوا يزرحينSince E is
+
+322
+00:22:46,790 --> 00:22:50,410
+constant in magnitude over the Gaussian surface,
+
+323
+00:22:50,690 --> 00:22:53,150
+abnormal to it زي ما عملنا عدة مرات بالنسبة
+
+324
+00:22:53,150 --> 00:22:55,790
+للكورة، احنا بنتطلع E برا، وضبط ال product الله
+
+325
+00:22:55,790 --> 00:22:59,570
+ساهل عليها، اتجهله جوا التكامل دي إيه إيه، وتكامل
+
+326
+00:22:59,570 --> 00:23:02,890
+دي إيه إيه، وبنسوة أربعة by R تربية، ونضل عندك U N
+
+327
+00:23:02,890 --> 00:23:06,870
+جدش بتحط محلها، اتنين اتنين، صار E اتنين عشان
+
+328
+00:23:06,870 --> 00:23:10,030
+المنطقة التانية أنا فيهافي أربع عضايا التربيع
+
+329
+00:23:10,030 --> 00:23:13,850
+تكامل الـDA وهو الـArea أو الـGaussian Surface
+
+330
+00:23:13,850 --> 00:23:17,350
+بتساوي الـQin على الـEpsilon نوت واتسارت بيساوي ..
+
+331
+00:23:17,350 --> 00:23:20,810
+إيش بدة الـQin حطيت؟ إتنين الـQ في أي مشكلة شباب
+
+332
+00:23:20,810 --> 00:23:25,910
+إنه هادي هي هادي؟ طلع الجواب، إذا هاي إتنين طلعت،
+
+333
+00:23:25,910 --> 00:23:31,110
+صح ولا لا؟ طلع، تمام؟ لإن المنطقة التالتة كده
+
+334
+00:23:31,110 --> 00:23:37,350
+اتفقنا؟ Zeroفي المنطقة الثالثة الوضع الكهربائي يجب
+
+335
+00:23:37,350 --> 00:23:39,750
+أن يكون نزلًا نزلًا نزلًا نزلًا نزلًا نزلًا نزلًا
+
+336
+00:23:39,750 --> 00:23:42,750
+نزلن نزلن نزلن نزلن نزلن نزلن نزلن نزلن نزلن نزلن
+
+337
+00:23:42,750 --> 00:23:50,490
+نزلن نزلن نزلن
+
+338
+00:23:52,230 --> 00:23:56,330
+سؤالى انا الان واحد بيقولى حب حب عليا بيصحى اللى
+
+339
+00:23:56,330 --> 00:23:59,550
+اطبق قانون جاوس بيقولك بيصحى لك طب لو طبقت قانون
+
+340
+00:23:59,550 --> 00:24:06,130
+جاوس بيطلع زيرو بيقولك جرب جالى طب هاي سطح جاوس صح
+
+341
+00:24:06,130 --> 00:24:15,350
+شباب؟ في جوا شحنات؟ دي ال queue بيقولوا لأ فشي لأ
+
+342
+00:24:15,350 --> 00:24:19,530
+هي موجودة بس قاعدى بقولك وراحت قاعدى بقولك وراحت
+
+343
+00:24:19,530 --> 00:24:23,640
+اتسنى عليالازم تكون zero بعدين بفرجك كيف صلت zero
+
+344
+00:24:23,640 --> 00:24:28,880
+سنوا عليا شوية لأنه في شحنات بالتأثير قعدنا بنشوف
+
+345
+00:24:28,880 --> 00:24:33,220
+عليها بس واحدة واحدة قد أعلمها انا تمام قد اعلمها
+
+346
+00:24:33,220 --> 00:24:38,760
+حلواذا هذه المنطقة دي كم اتفاقنا؟ Zero لإنها جوا
+
+347
+00:24:38,760 --> 00:24:41,640
+conductor و هاد ال conductor معطى ..معطى ..هو
+
+348
+00:24:41,640 --> 00:24:45,220
+قاللي هاد ال conductor ..حلو In the last region
+
+349
+00:24:45,220 --> 00:24:48,220
+..أي منطقة اللي برا خالص .. المنطقة البيضة اللي
+
+350
+00:24:48,220 --> 00:24:51,400
+برا ..outside the shell we construct again a
+
+351
+00:24:51,400 --> 00:24:54,040
+Gaussian surface هل هي المنطقة البرانية خالص جوا
+
+352
+00:24:54,040 --> 00:24:58,740
+conductor؟لأ هل هذه جوة conductor لأ إذا ماوجهتش
+
+353
+00:24:58,740 --> 00:25:02,800
+أقول zero إذا إيش بدي أعمل طبق قانون جاوس يعني طبق
+
+354
+00:25:02,800 --> 00:25:06,180
+قانون جاوس لإن الشكل المشروع شكله كراوي قاللي هاي
+
+355
+00:25:06,180 --> 00:25:09,260
+سطح جاوس في هذه الحالة صح ولا لأ يا شباب هاي نقطة
+
+356
+00:25:09,260 --> 00:25:13,020
+برا جيبت انا اي نقطة برا في جوة شحنات بقوله اه في
+
+357
+00:25:13,020 --> 00:25:17,060
+شغلك ايه ال cell بكيه جوا و لكينكيه جوا ولا لأ طب
+
+358
+00:25:17,060 --> 00:25:21,460
+إيش بدي أسوي اجمحهم اجمحهم بيقوللي
+
+359
+00:25:22,940 --> 00:25:27,280
+هذه موجودة والاتنين Q موجودات صحيح ولا لا يا شباب؟
+
+360
+00:25:27,280 --> 00:25:29,840
+بدّي واحد منهم .. بدّيش يول واحد بديه يول او
+
+361
+00:25:29,840 --> 00:25:33,980
+الاتنين بديه يول؟ الاتنين جوا .. الاتنين جوا بيقول
+
+362
+00:25:33,980 --> 00:25:38,100
+لي ال surface enclose a total charge of السالب Q
+
+363
+00:25:38,100 --> 00:25:43,620
+والاتنين Q جمعتهم قدش طلع Q؟ بسهلة Gauss's law if
+
+364
+00:25:43,620 --> 00:25:46,840
+thing gives ايه أربعة متساوية كبت الـQ على أربعة
+
+365
+00:25:46,840 --> 00:25:52,120
+by إبسل نوت أربع طلعناهاهي استفسار الشباب نرجع
+
+366
+00:25:52,120 --> 00:25:55,600
+هديك كيف طلع السفر و طبقت قانون جاسم بينا مش سفر
+
+367
+00:25:55,600 --> 00:26:00,340
+شوف المقطوب التاني هو اللي بيجاوبنا هناك المقطوب
+
+368
+00:26:00,340 --> 00:26:02,940
+التاني بيقوللي إيش صار عندك اندوس تشاجج على ال
+
+369
+00:26:02,940 --> 00:26:06,460
+inner و على ال outer فكل زمان في أول محاضرة في
+
+370
+00:26:06,460 --> 00:26:11,360
+الفصل أديتكوا بهذا الشكل شباب قولت هذا conductor
+
+371
+00:26:11,360 --> 00:26:19,080
+وهذا عازل عن الأرض بتجرب هذه
+
+372
+00:26:23,700 --> 00:26:28,150
+قولتش صار هنا؟ قولت كل شحنات الساعة اللي بجربتو
+
+373
+00:26:28,150 --> 00:26:31,470
+الشحنات الموجة بقى أبعدات ليش أبعدات؟ لأنه فيه هنا
+
+374
+00:26:31,470 --> 00:26:35,410
+attractive و هنا repulsive طب هذا وقت إيش بيصير،
+
+375
+00:26:35,410 --> 00:26:38,270
+بقول بشرط إن هذا كون conductor إذا كان انسولاتر
+
+376
+00:26:38,270 --> 00:26:43,830
+تتحرك، بيكون الطرق مسكرة طيب قاللي هذا بنفع يكون
+
+377
+00:26:43,830 --> 00:26:46,050
+المنطقة الزرقى؟ بيقولوا هل المنطقة الزرقى كون
+
+378
+00:26:46,050 --> 00:26:48,170
+conductor أو مش كون conductor؟ كون conductor، لذا
+
+379
+00:26:48,170 --> 00:26:51,970
+بنفع قاللي طب هذا جسم مشحون طب هي المنطقة الحمراء
+
+380
+00:26:51,970 --> 00:26:56,660
+جسم مشحون ولا مش مشحون؟ مشحونقال ليه؟ إذا معناته
+
+381
+00:26:56,660 --> 00:27:00,200
+ال attractive و ال repulsive forces إيش بده يسوي؟
+
+382
+00:27:00,200 --> 00:27:06,860
+بيقولي هذه ال 2Q هتجمعلك سالب 2Q هنا و زائد 2Q هنا
+
+383
+00:27:10,000 --> 00:27:14,020
+بتأثيريا تأثيريا سفرتك من النقص Q موجودة و ليس مش
+
+384
+00:27:14,020 --> 00:27:18,620
+موجودة بفرجش معاك سؤالي الآن جدّيش الشحنات الكلية
+
+385
+00:27:18,620 --> 00:27:21,680
+الكلية ال net ت charge على المنطقة الزرقا على ال
+
+386
+00:27:21,680 --> 00:27:26,450
+shell الكلية ليش انسيت السريبي Q السريبي Q ضالةإذا
+
+387
+00:27:26,450 --> 00:27:29,710
+مافيش تناقض بالمعطيات هو قال لي ال net charge على
+
+388
+00:27:29,710 --> 00:27:33,790
+الشيل سلب كيو ما هي سلب كيو دلت لكن لو مافيش سلب
+
+389
+00:27:33,790 --> 00:27:36,650
+كيو بيضله الشيل متعادل ولا لا؟ متعادل بس يقعد
+
+390
+00:27:36,650 --> 00:27:41,330
+توزيعه عشان جنبه مؤثر حلو طب سؤالي الآن إيش بده
+
+391
+00:27:41,330 --> 00:27:44,050
+هو؟ بيقولي جدش فيه شحنات على ال inner surface و
+
+392
+00:27:44,050 --> 00:27:46,470
+جدش على ال outer surface ال inner surface جدش فيه
+
+393
+00:27:46,470 --> 00:27:52,350
+شحنات؟ سلب اتنين كيو طب و الأوتر؟ اتنين كيو سلب
+
+394
+00:27:52,350 --> 00:27:57,420
+كيو موجة بكيوتمام اذا معناته ايش بيقوللي the
+
+395
+00:27:57,420 --> 00:28:02,700
+charge on the sphere اللي هي الحمرة induces بتأثر
+
+396
+00:28:02,700 --> 00:28:09,400
+تعمل تأثيريا a charge of minus 2Q on the inner
+
+397
+00:28:09,400 --> 00:28:15,170
+sphere على اللي جنبها الجريبة هذا هي نقص 2Qمازال
+
+398
+00:28:15,170 --> 00:28:19,170
+عاملة نقصة 2Q، إيش بيكون فوق؟ 2Q برا، مازال إنت
+
+399
+00:28:19,170 --> 00:28:23,170
+جاذبة تسالب 2Q، لازم تكون 2Q جدها طلعت برا عشان
+
+400
+00:28:23,170 --> 00:28:27,450
+تكون متعادلة في الآخر، تمامهدول بتسميهم Infested
+
+401
+00:28:27,450 --> 00:28:32,830
+Charges تأثيريين هدول اجوا بالتأثير لإن هو أصلهم
+
+402
+00:28:32,830 --> 00:28:37,410
+هدول موجودين موجودين بس هم بالطبيعة موزعين عشوائيا
+
+403
+00:28:37,410 --> 00:28:40,070
+مش واحد يقولي أنا جري بواحد بعيد لأ بوين مكان
+
+404
+00:28:40,070 --> 00:28:44,030
+بروحوا لما اجى مؤثر اللي هي القوة الحمرة قالت
+
+405
+00:28:44,030 --> 00:28:49,010
+بيجيش عندي للمخالف والمشابه هم بيروح ويبعد عندي من
+
+406
+00:28:49,010 --> 00:28:52,530
+عندي حسب قوة ال attractive و ال repulsive تمام
+
+407
+00:28:53,840 --> 00:28:59,320
+الوضع المدفع على الوضع الخارجي سيكون اتنين Q هذا
+
+408
+00:28:59,320 --> 00:29:04,020
+الوضع المدفع لذلك الوضع المدفع على الوضع الخارجي
+
+409
+00:29:09,550 --> 00:29:13,890
+إذاً هذه جواب مطلوب التاني بقولي جدش في على ال
+
+410
+00:29:13,890 --> 00:29:17,350
+outer surface و بقوله Q وعلى ال inner surface ال
+
+411
+00:29:17,350 --> 00:29:21,570
+inner نقص 2Q ال induced سالب 2Q مظبوط ولا لأ إذا
+
+412
+00:29:21,570 --> 00:29:25,070
+صار عندي على الداخل نقص 2Q وعلى الخارج capital Q
+
+413
+00:29:25,070 --> 00:29:28,710
+هذا الجواب طب الأنش بيقولي بيقولي انت توي حاكتلي
+
+414
+00:29:28,710 --> 00:29:31,610
+في المنطقة الزرقه Zero بيقولي ايه توي حاكتلي اعمل
+
+415
+00:29:31,610 --> 00:29:36,230
+gauss surface في المنطقة الزرقه شايفين ال gas اتح
+
+416
+00:29:36,230 --> 00:29:38,810
+gas جدش فيه شحنات
+
+417
+00:29:41,880 --> 00:29:47,840
+اها0 طبعا صحيح زي ما اتكلمها اذا اه E0 استخدمت
+
+418
+00:29:47,840 --> 00:29:51,140
+قانون Gauss و لا ما استخدمت مش قانون Gauss لازم E
+
+419
+00:29:51,140 --> 00:29:55,840
+كون معاك 0 هيا if one construct a Gaussian surface
+
+420
+00:29:55,840 --> 00:29:59,620
+in that region اللي هي تبعي الزرقه هادي with
+
+421
+00:29:59,620 --> 00:30:02,960
+radius R أقل من 0 و أكبر من B يعني في المنطقة
+
+422
+00:30:02,960 --> 00:30:05,840
+الزرقه كمان مرة then it will charge inside that
+
+423
+00:30:05,840 --> 00:30:09,080
+surface اللي هو Gaussian surface must be 0 so the
+
+424
+00:30:09,080 --> 00:30:12,320
+electric field E3 is 0 as expected زي ما حكى في
+
+425
+00:30:12,320 --> 00:30:19,620
+الأولهي هم هدول اللي 2Q سلب 2Q زيرو إذا مافيش
+
+426
+00:30:19,620 --> 00:30:23,620
+شحنات في كل الأحوال حتى لو انت عملت سطح جاوس جوا
+
+427
+00:30:23,620 --> 00:30:28,100
+ال conductor مش هتلاقي شحنات إطلاقا حتى لو عملت
+
+428
+00:30:28,100 --> 00:30:29,820
+constructing لجاوز يان سيرفيس
+
+429
+00:30:33,590 --> 00:30:36,830
+لو ميأت الشحن اللي جوا، اللي عساسي يكون أكبر، لو
+
+430
+00:30:36,830 --> 00:30:39,590
+خليت الشحن اللي برا نفس الشيء، يمكن يكون فيه مجلة
+
+431
+00:30:39,590 --> 00:30:44,290
+.. يعني هذه خليتك خمسة Q، بس هنا سالب خمسة Q، هنا
+
+432
+00:30:44,290 --> 00:30:48,090
+زائد خمسة Qطيب و في الخارج سالب Q؟ و في الخارج
+
+433
+00:30:48,090 --> 00:30:50,950
+دايما هي هنا سالب خمسة Q هنا زي الخمسة Q هنا سالب
+
+434
+00:30:50,950 --> 00:30:54,930
+Q جديد الشحن الكلي عالم انتقال الزرقاء هي هي لإن
+
+435
+00:30:54,930 --> 00:30:57,730
+هدول سالب و موجد بيرقلوا بعض بالأول في الآخر صحيح
+
+436
+00:30:57,730 --> 00:31:01,630
+ولا لا لكن هم ايه التوزيع هم هذا كل ما كبرت كل ما
+
+437
+00:31:01,630 --> 00:31:04,710
+بيجمع أكتر ولا لا إذا هدول بيلحقوا هذا المؤثر
+
+438
+00:31:04,710 --> 00:31:08,270
+اتنين Q بياخد عنده اتنين Q خمسة Q بياخد عنده خمسة
+
+439
+00:31:08,270 --> 00:31:13,730
+Q و بيبقى نفسه من المقدار واضح؟ تمام شباب؟ انتهى
+
+440
+00:31:13,730 --> 00:31:15,190
+هذا ال chapter
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1e1060fc44de8635fc85d3a38ca8cfc44e355a0a
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk.srt
@@ -0,0 +1,1443 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:11,980 --> 00:00:17,160
+بسم الله الرحمن الرحيم نعيد آخر حاجة وصلنا إليها
+
+3
+00:00:17,160 --> 00:00:21,460
+اللي هي electric potential and conductors حكينا 
+
+4
+00:00:21,460 --> 00:00:26,900
+عنها لكن نعيدها بسرعة اتفقنا على أن ال conductors
+
+5
+00:00:26,900 --> 00:00:31,560
+in electrostatic equilibrium have some properties
+
+6
+00:00:31,560 --> 00:00:37,820
+نعيدها ونضيف عليها خاصية أخرى أو خواص أخرى في 
+
+7
+00:00:37,820 --> 00:00:42,060
+الحلقة السابقة، قمنا بمعرفة بعض خواص شركة
+
+8
+00:00:42,060 --> 00:00:48,160
+قانون جاوس بمساعدة قانون جاوس باستخدام قانون جاوس
+
+9
+00:00:48,160 --> 00:00:55,690
+باستخدام قانون جاوس باستخدام قانون جاوس هذه خاصية
+
+10
+00:00:55,690 --> 00:00:59,550
+نابعة من أن الشحن داخل أي كونداكتر هو 0
+
+11
+00:00:59,550 --> 00:01:05,150
+وبالتالي لا يوجد مجال داخل أي كونداكتر الخاصية
+
+12
+00:01:05,150 --> 00:01:08,890
+الأخرى التي أثبتناها سابقًا أن الشحن داخل أو
+
+13
+00:01:08,890 --> 00:01:13,270
+خارج كونداكتر أو على سطح كونداكتر يجب أن يكون مرتبط
+
+14
+00:01:13,270 --> 00:01:17,650
+بسطحه ويقل إلى سيجما على إبسلون نوت هذه خاصية
+
+15
+00:01:17,650 --> 00:01:21,770
+أخرى هذين الخاصيتين سنستخدمهم الآن عشان نثبت خاصية
+
+16
+00:01:21,770 --> 00:01:23,170
+ثالثة للكونداكتر
+
+17
+00:01:25,920 --> 00:01:30,740
+بحكي لي أخذت أن فرق الجهود بين نقطتين Vfinal
+
+18
+00:01:30,740 --> 00:01:34,740
+-Vinitial where final and initial any points any
+
+19
+00:01:34,740 --> 00:01:39,280
+two points equal minus ال integral من initial
+
+20
+00:01:39,280 --> 00:01:46,110
+point to final point E.DL إذا هذه 0 أو الزاوية بين
+
+21
+00:01:46,110 --> 00:01:50,750
+E و D الـ 90 درجة تطلع النتيجة 0 صح ولا لأ؟ لأن
+
+22
+00:01:50,750 --> 00:01:53,550
+إذا 90 درجة اتضبط الconductor بيعطينا كوساين كوساين
+
+23
+00:01:53,550 --> 00:01:58,010
+90 0 إذا هذه النتيجة 0 معناته هذه بتساوي هذه
+
+24
+00:01:58,010 --> 00:02:02,090
+معناته هذه بتساوي هذه قال لي هدول ايه ال two points
+
+25
+00:02:02,090 --> 00:02:06,550
+خلي ال two points يكونوا inside the conductor يعني
+
+26
+00:02:06,550 --> 00:02:10,890
+أنا عندي شباب هاي conductor وهي initial point وهي
+
+27
+00:02:10,890 --> 00:02:16,910
+final point حاجات هو أنا ماشي من initial ل final من
+
+28
+00:02:16,910 --> 00:02:21,110
+initial ل final بدي أجمع المجال أي مجال بدي أجمعه
+
+29
+00:02:21,110 --> 00:02:24,570
+من initial ل final مش أنا بدي أجمعه كامل يعني
+
+30
+00:02:24,570 --> 00:02:27,730
+أجمعه لما ماشي من initial ل final أنا ماشي ال E
+
+31
+00:02:27,730 --> 00:02:32,490
+inside و E inside قد ايش؟ Zero إذا كان ال contain
+
+32
+00:02:32,490 --> 00:02:38,410
+inside بيكون E zero إذن هذه Zero معناته هذه بتساوي
+
+33
+00:02:38,410 --> 00:02:42,270
+هذه يعني الجهود داخل أي كونداكتر بيساوي ثابت
+
+34
+00:02:43,010 --> 00:02:45,950
+لأن هذي الـinitial و الـfinal point أي two points
+
+35
+00:02:45,950 --> 00:02:49,050
+inside a conductor أي two points inside a
+
+36
+00:02:49,050 --> 00:02:53,230
+conductor إذا الـV initial equal V final هذا يعني
+
+37
+00:02:53,230 --> 00:02:58,550
+جهود داخل أي كونداكتر لازم يساوي ثابت صح ولا لأ؟
+
+38
+00:02:58,550 --> 00:03:03,670
+فهذه الـfinal خليها هنا على السطح بالظبط نفس الشيء
+
+39
+00:03:03,670 --> 00:03:06,110
+أنت بتبدأ من الـinitial و تصل لـfinal وطول ما أنت
+
+40
+00:03:06,110 --> 00:03:10,610
+ماشي بدك E inside و E in the surface بتساوي zero إذا
+
+41
+00:03:10,610 --> 00:03:13,590
+برضه الجهود عند أي نقطة inside بتساوي الجهود على
+
+42
+00:03:13,590 --> 00:03:18,050
+السطح صح ولا لأ الشيء الثالث الذي حكى ليها لو كانت
+
+43
+00:03:18,050 --> 00:03:20,990
+ال initial point و ال final point على السطح هاي
+
+44
+00:03:20,990 --> 00:03:24,410
+initial و هاي final قال لي أنت ماشي هيك طبعًا وأنا
+
+45
+00:03:24,410 --> 00:03:28,270
+ماشي هيك بكون ماشي مماس ولا مش ماشي مماس ماشي
+
+46
+00:03:28,270 --> 00:03:32,580
+مماس طب وأنت ماشي أي جهود أي مجال اللي بدك إياه
+
+47
+00:03:32,580 --> 00:03:36,160
+المجال على السطح ولا لأ؟ بديك المجال على السطح،
+
+48
+00:03:36,160 --> 00:03:38,560
+لأنك أنت ماشي هيك، طول ما أنت ماشي بديك المجال
+
+49
+00:03:38,560 --> 00:03:40,800
+اللي أنت ماشي فيه، طول ما أنت ماشي بتواجه
+
+50
+00:03:40,800 --> 00:03:44,100
+مجالات، أي مجالات على السطح، طب ايه شغلة المجال
+
+51
+00:03:44,100 --> 00:03:47,850
+على السطح؟ عمودي على المماس، عمودي على السطح وما
+
+52
+00:03:47,850 --> 00:03:52,310
+زال عمودي والضبط بيبقى نواتجه بتديني zero إذا برضه
+
+53
+00:03:52,310 --> 00:03:56,650
+شغلتك أن الجهود هنا بيساوي الجهود هنا صح ولا لأ؟
+
+54
+00:03:56,650 --> 00:04:00,970
+إذا الصرف عندي الجهود جوا بيساوي ثابت الجوا وع
+
+55
+00:04:00,970 --> 00:04:04,570
+السطح بيساوي بعض التنتين على السطح بيساوي ثابت إذا
+
+56
+00:04:04,570 --> 00:04:07,450
+الجهود على السطح ثابت الجهود جوا بيساوي ثابت الجهود
+
+57
+00:04:07,450 --> 00:04:12,770
+جوا بيساوي جهود على السطح برا خالص بيبقوا zero بيبقوا
+
+58
+00:04:12,770 --> 00:04:16,460
+zero بس عند القيمة إذا الجهود ما بيساويش اللي برا في
+
+59
+00:04:16,460 --> 00:04:19,840
+قيمة تمام أما على السطح هنا just outside بالظبط
+
+60
+00:04:19,840 --> 00:04:23,340
+بيبقى على السطح أما بعيد أو لا بيبقى ال zero بس
+
+61
+00:04:23,340 --> 00:04:26,900
+أنت مديك المجال اللي جانه ولا المجال اللي برا هنا
+
+62
+00:04:26,900 --> 00:04:32,080
+المجال طبعًا لما تكون جوا برا ثابت هنا zero بنفس
+
+63
+00:04:32,080 --> 00:04:35,380
+التكامل برا وجوا وجوا صفر وبرا يله قيمة بتعملها
+
+64
+00:04:35,380 --> 00:04:39,960
+تمام بيقول لي if the initial and the final points
+
+65
+00:04:39,960 --> 00:04:44,060
+lie inside a conductor إذا كانوا نقطتين جوا and
+
+66
+00:04:44,060 --> 00:04:47,260
+using the first property التي تقول إن E inside equal to zero we conclude that the electric
+
+67
+00:04:47,260 --> 00:04:50,280
+potential is constant لأن هادي بتساوي هادي ما زال
+
+68
+00:04:50,280 --> 00:04:54,160
+هادي صفر يعني هادي بتساوي هادي إذا ال electric
+
+69
+00:04:54,160 --> 00:04:56,620
+potential is constant inside the conductor طيب
+
+70
+00:05:01,010 --> 00:05:06,010
+بيقول لي furthermore لو كانت النقطتين على السطح since
+
+71
+00:05:06,010 --> 00:05:10,410
+E is always normal to DL يعني normal to the
+
+72
+00:05:10,410 --> 00:05:13,790
+surface هي معناه normal to DL هذه خاصية هي ده
+
+73
+00:05:13,790 --> 00:05:17,350
+electric field on the surface of the conductor is
+
+74
+00:05:17,350 --> 00:05:20,430
+perpendicular to the surface يعني normal to DL هنا
+
+75
+00:05:21,570 --> 00:05:25,630
+الإلكترونية أيضًا مستمرة على سطح الهواتف. من هذه 
+
+76
+00:05:25,630 --> 00:05:30,670
+الخاصية، يوجد أيضًا قيمة مهمة للهواتف التي تتبعها
+
+77
+00:05:30,670 --> 00:05:38,170
+.الإلكترونية داخل الهواتف في أي إيكليبريام مستمرة
+
+78
+00:05:38,170 --> 00:05:42,390
+وايها قيمة تساوي قيمة جهدها السطح. يعني ثابت الجهد
+
+79
+00:05:42,390 --> 00:05:45,170
+الذي ما جدش قمته كانت تساوي الجودة على السطح و
+
+80
+00:05:45,170 --> 00:05:48,970
+أثبتناها أن لو كانت initial point inside and final
+
+81
+00:05:48,970 --> 00:05:52,770
+point on the surface the two potentials must be
+
+82
+00:05:52,770 --> 00:05:57,560
+equal وهذه الخاصية تكون صحيحة بيقول لي طب لو
+
+83
+00:05:57,560 --> 00:06:00,660
+أجيت بدي أُثبتها بالتفصيل، بدي أجيب الجهد جوا
+
+84
+00:06:00,660 --> 00:06:03,320
+كونداكتر، هل بيساوي الجهد على السطح؟ جا لي كده بدي
+
+85
+00:06:03,320 --> 00:06:05,860
+أعمل، بدي أعمل زي ما عملت في الأول، كده بدي أجيب
+
+86
+00:06:05,860 --> 00:06:08,640
+الجهد، بدي أجيب التكامل، من بداية النهاية لنقطة، جا لي
+
+87
+00:06:08,640 --> 00:06:12,740
+ها نقطة، بدي أجيب الجهد هنا، مش هذي inside شلال،
+
+88
+00:06:12,740 --> 00:06:15,720
+هذي ال center، وهذي مسافة r، وهذي مسافة capital
+
+89
+00:06:15,720 --> 00:06:21,160
+R أنا الآن مطلوب مني أن أجيب الجودة عند النقطة P
+
+90
+00:06:21,160 --> 00:06:24,640
+هتبقى inside ولا مش inside حسب الخاصية بتقول
+
+91
+00:06:24,640 --> 00:06:28,220
+الجودة inside must be constant and equal to the
+
+92
+00:06:28,220 --> 00:06:31,640
+potential on the surface هيك الخاصية بتقول جا أنا
+
+93
+00:06:31,640 --> 00:06:34,780
+هذه الخاصية بعرفهاش يعني هلأ نثبتها بقول V عند
+
+94
+00:06:34,780 --> 00:06:37,660
+النقطة P بيساوي سالب بالتكامل من بداية النهائية
+
+95
+00:06:37,660 --> 00:06:45,080
+للنقطة P التي هي R E dot DL صح أنا أنا شباب أنا بدي
+
+96
+00:06:45,080 --> 00:06:49,840
+أقول ايه؟ بون ببدأ أنا بداية النهائي برا ولا جوا؟
+
+97
+00:06:49,840 --> 00:06:54,260
+برا يعني ايه اللي برا بدي إياها؟ طب وين بخلص؟ جوا
+
+98
+00:06:54,260 --> 00:06:57,460
+برضه ايه اللي جوا بدي إياها؟ ايش أسوي ارجع ناخد
+
+99
+00:06:57,460 --> 00:07:01,260
+شمام وبطيخ بنفعج معاهم مع بعض اللي برا بدي إياها
+
+100
+00:07:01,260 --> 00:07:03,140
+اللي جوا بدي إياها؟ يجب أن تخلي اللي برا برا وال
+
+101
+00:07:03,140 --> 00:07:06,640
+لي جوا جوا بقول اللي برا من بداية النهائي ل
+
+102
+00:07:06,640 --> 00:07:09,480
+capital R هتبدأ في بداية النهائي وبنتح عند
+
+103
+00:07:09,480 --> 00:07:17,690
+capital R في جوا هنا؟ لأ هنا إذا أنا أي E بدك ايه
+
+104
+00:07:17,690 --> 00:07:21,130
+تقول عندك من capital R ل small r من capital R ل
+
+105
+00:07:21,130 --> 00:07:28,610
+small r جوه أو مجوه جوه E dot dl دي قد ايش هذي صفر
+
+106
+00:07:28,610 --> 00:07:32,930
+since it is a conductor conductor إذا E بتساوي zero
+
+107
+00:07:32,930 --> 00:07:35,990
+جا لي هذي بتعرفها ويقولوا اه بعرفها هذي E outside
+
+108
+00:07:35,990 --> 00:07:41,560
+أخذناها وطبقناها وبتساوي على هيك قانونها صح ولا لأ؟
+
+109
+00:07:41,560 --> 00:07:44,460
+طيب كي وكي وطلعهم برا التكامل ولا ما طلعهم ايش؟
+
+110
+00:07:44,460 --> 00:07:48,580
+طلعهم ايش بيطلع انك؟ DR وDL ضد الـDR هنا طبعًا TR
+
+111
+00:07:48,580 --> 00:07:55,300
+unit vector بيصير DR بيصير سالب KQ تكامل DR على R
+
+112
+00:07:55,300 --> 00:08:00,280
+تربيع من بداية النهاية ل capital R وهذه أو واحد صح ولا
+
+113
+00:08:00,280 --> 00:08:05,820
+لأ ايش تكامل DR على R تربيع سالب واحد على R سالب KQ
+
+114
+00:08:05,820 --> 00:08:11,380
+واحد على small r من صفر ل capital R وطلعت KQ على
+
+115
+00:08:11,380 --> 00:08:18,720
+capital R ثابت ولا لم يتثابت K ثابت Q ثابتة نصف قطر
+
+116
+00:08:19,550 --> 00:08:22,190
+فتجعلت النتيجة ثابت طب لو أحد اللي أوجد جهد على
+
+117
+00:08:22,190 --> 00:08:25,990
+السطح جبته أنا وإياكم بيساوي KQ على Capital R ولا لأ إذا
+
+118
+00:08:25,990 --> 00:08:29,310
+الجهد داخل أي كونداكتر بيساوي مقدار ثابت ويساوي
+
+119
+00:08:29,310 --> 00:08:34,650
+الجهد على السطح صح ما فيش أي مشكلة في هذه القضية
+
+120
+00:08:34,650 --> 00:08:37,970
+بيقول لي to prove this property explicitly
+
+121
+00:08:37,970 --> 00:08:41,150
+بالتفصيل let us consider a conducting sphere of
+
+122
+00:08:41,150 --> 00:08:44,090
+radius capital R and its charge capital Q. The
+
+123
+00:08:44,090 --> 00:08:46,850
+electric potential at about inside the sphere هيقل
+
+124
+00:08:46,850 --> 00:08:50,930
+من جسم التكامل المضطر. عشان E out لا تساوي E in
+
+125
+00:08:50,930 --> 00:08:57,610
+تمام الآن EM بالثانية صفر التكامل كان روح وهي أو ت
+
+126
+00:08:57,610 --> 00:09:01,770
+وهي لما اتعملتها طلعت دي بالثورة هذه وهذه هي نفس
+
+127
+00:09:01,770 --> 00:09:04,190
+الجهود السطحية which is the value of the potential
+
+128
+00:09:04,190 --> 00:09:07,450
+at the surface of the conductor وبالتالي صار في
+
+129
+00:09:07,450 --> 00:09:11,830
+عندي أنا الآن شباب اتفقت أن المجال جوا ال
+
+130
+00:09:11,830 --> 00:09:18,690
+conductor zero لكن الجهود zero لأ ثابت الآن الجهود
+
+131
+00:09:18,690 --> 00:09:22,820
+عندي ال center بقدر أقول عنه صفر؟ لأ مش ال center دي
+
+132
+00:09:22,820 --> 00:09:25,640
+جوا إذا انتظرت وبيساوي الجهود على السطح ولا لأ
+
+133
+00:09:25,640 --> 00:09:30,240
+يعني هنا ولا هنا ولا هنا ولا هنا جهود واحد ولا لأ
+
+134
+00:09:30,240 --> 00:09:34,520
+بيجهود واحد بعد كده بقى الجهود صار برا بيبدأ يروح
+
+135
+00:09:34,520 --> 00:09:37,740
+عندما النهاية تتوقع بإيش الجهود يساوي صفر زي ما
+
+136
+00:09:37,740 --> 00:09:41,020
+تتوقعينها فهذه رسمة بتفرج الجهود هذا الخط الأزرق
+
+137
+00:09:41,020 --> 00:09:46,010
+شايفينه بتفرج رسمة الجهود as a function of small r
+
+138
+00:09:46,010 --> 00:09:50,030
+و الـ r بتغير طول ما هو جوا عندي مقدار ثابت للجهد
+
+139
+00:09:50,030 --> 00:09:53,670
+بعدين بتلاشى لما النهاية بيصير صفر هذه مش خبيرة
+
+140
+00:09:53,670 --> 00:09:57,490
+بيقول لي the figure shows the variation of v as a
+
+141
+00:09:57,490 --> 00:10:00,270
+function of the radial distance small r for a
+
+142
+00:10:00,270 --> 00:10:02,570
+conducting sphere of radius capital R طبعًا احنا
+
+143
+00:10:02,570 --> 00:10:08,500
+بنحكي أقدام كتير تمام وحكينا بعد كده ما زال الجهد
+
+144
+00:10:08,500 --> 00:10:12,320
+على السطح بيساوي ثابت لو كان عندي two conductor صار
+
+145
+00:10:12,320 --> 00:10:16,720
+conductor واحد توصلوا إذا لازم جهدهم يتساوى لازم 
+
+146
+00:10:16,720 --> 00:10:20,380
+جهدهم يتساوى لأنه صار conductor واحد بيقول لي if two
+
+147
+00:10:20,380 --> 00:10:23,480
+or more conducting objects are connected by a
+
+148
+00:10:23,480 --> 00:10:26,820
+conducting wire the conductors are no longer
+
+149
+00:10:26,820 --> 00:10:32,260
+separated but can be considered as a single
+
+150
+00:10:32,260 --> 00:10:38,120
+conductor أي نقطة على هذه النقطة لازم تكون جودها
+
+151
+00:10:38,120 --> 00:10:42,040
+بيكون ثابت وبيساوي الجودة على أي نقطة أخرى يعني
+
+152
+00:10:42,040 --> 00:10:45,300
+ايش بيقول لي this means that the electric charges
+
+153
+00:10:45,300 --> 00:10:48,840
+will transfer from the conductor of higher
+
+154
+00:10:48,840 --> 00:10:52,080
+potential to that of lower potential until
+
+155
+00:10:52,080 --> 00:10:55,100
+equilibrium condition is achieved طبعًا لما تنتقل
+
+156
+00:10:55,100 --> 00:10:58,560
+الشحنات شباب تقريبًا ساعة ولا ساعتين ولا حتى جيجا
+
+157
+00:10:58,560 --> 00:11:01,560
+جزء من ثانية على طول بتنقل الشحنات وبصير في استقرار
+
+158
+00:11:01,560 --> 00:11:06,160
+وخلاص وقتش بتستقر الشحنات لما تتساوى الجهود
+
+159
+00:11:06,160 --> 00:11:08,960
+تتساوى الجهود بقى تبقى في حركة خلاص وهذه عملية
+
+160
+00:11:08,960 --> 00:11:12,400
+بتستغرق ملي ثانية ملي ثانية على طول بتنتقل الشحنات
+
+161
+00:11:12,400 --> 00:11:15,260
+مرة واحدة زي الواحد لما يجيب الله بتعرفوا أنتو
+
+162
+00:11:15,260 --> 00:11:18,520
+فكرة الأوان المستطرقة اللي بيسموها بتعرفوها ما
+
+163
+00:11:18,520 --> 00:11:22,440
+بتعرفوهاش أنا أخذناها في ثالثة ابتدائي أيامنا شوفوا
+
+164
+00:11:22,440 --> 00:11:30,580
+الثالثة ابتدائي لو جيبت برميل ماء تمام؟ واحد يشوف
+
+165
+00:11:30,580 --> 00:11:33,220
+يجيب تي شيرت فتحت البرميل على ال t-shirt، ايش
+
+166
+00:11:33,220 --> 00:11:37,500
+بده يصير؟ تتخلى الماء من البرميل على ال t-shirt، إذا
+
+167
+00:11:37,500 --> 00:11:41,040
+البرميل كتير عالي، بتطفو ال t-shirt، صح ولا؟ لما
+
+168
+00:11:41,040 --> 00:11:45,660
+يصير مستوى الماء نفس المستوى، نفس المستوى يعني نفس
+
+169
+00:11:45,660 --> 00:11:49,400
+الجهود نفس الجهود تبتدي من الماء من الأعلى إلى
+
+170
+00:11:49,400 --> 00:11:54,740
+الأوطى حتى لو كان نفترض أن أنت عندك برميل خليني
+
+171
+00:11:54,740 --> 00:12:00,040
+بلاش برميل لو كانت عندك مثلًا خليني أقول أمبوبة
+
+172
+00:12:00,040 --> 00:12:05,010
+طويلة فيها ماء ويجيب تي شيرت كبير تمام؟ بتضلها تنزل
+
+173
+00:12:05,010 --> 00:12:07,410
+الماء لما الارتفاع يصير زي بعض، بتضلها حتى لو كانت
+
+174
+00:12:07,410 --> 00:12:10,190
+قليلة على الـ ... المهم الارتفاع فالارتفاع ايه؟ لما
+
+175
+00:12:10,190 --> 00:12:12,970
+يتساوي بتنطق وتنتقل الماء والارتفاع يعني معناته
+
+176
+00:12:12,970 --> 00:12:15,650
+الجهد هنا في هذه الحالة ط
+
+201
+00:13:46,070 --> 00:13:53,020
+أه، فيه جهد واحد بيقول لي a surface with all its 
+
+202
+00:13:53,020 --> 00:13:56,400
+points are at the same electric potential is
+
+203
+00:13:56,400 --> 00:13:59,580
+called equipotential surface. واضح من الاسم احنا
+
+204
+00:13:59,580 --> 00:14:03,160
+بيقولنا كل مسمى من اسمه نصيب، وفي التعريفات كل مسمى 
+
+205
+00:14:03,160 --> 00:14:07,960
+من اسمه نصيب، لأن كلّه لازم يكون الاسم ايه أصلاً
+
+206
+00:14:07,960 --> 00:14:11,760
+أنا جيت اسم الصفة غير لو حينما أجيب ولد صغير
+
+207
+00:14:11,760 --> 00:14:14,480
+بُسمّيه كريم، الله يعني لما يطلع كريم لما يطلع بقيت
+
+208
+00:14:14,480 --> 00:14:18,060
+بقول أخي بُسمّيه كريم وهو حق لكن بقول إنّه لكل اسمه
+
+209
+00:14:18,060 --> 00:14:21,480
+مسمى من اسمه نصيب، بتطلع بعيد شانص إنّه الله سمّاه
+
+210
+00:14:21,480 --> 00:14:24,220
+كريم طلع كريم، تمام؟ بس هنا أنا سميته وأنا عارف 
+
+211
+00:14:24,220 --> 00:14:28,540
+صفاته صح ولا لأ؟ فالتسمية يتلاحقا وبالتالي لكل مسمى
+
+212
+00:14:28,540 --> 00:14:30,980
+من التعريف كل نصيب، تمام.
+
+213
+00:14:35,540 --> 00:14:42,400
+من هذه التفريعات تقول إن لا عمل يتم فعله ببطارية 
+
+214
+00:14:42,400 --> 00:14:45,340
+طوارئ تتحرك في مقاطع تحميل مقاطع تحميل مقاطع تحميل
+
+215
+00:14:45,340 --> 00:14:47,060
+مقاطع تحميل مقاطع تحميل مقاطع تحميل مقاطع تحميل
+
+216
+00:14:47,060 --> 00:14:57,440
+مقاطع
+
+217
+00:14:57,440 --> 00:15:02,180
+تحميل
+
+218
+00:15:02,240 --> 00:15:06,580
+0، لأنه قال لي هو الشغل مش هو فرق الجهد مضروب الشحنة
+
+219
+00:15:06,580 --> 00:15:11,160
+طيب فرق الجهد صفر، جديش الشغل؟ zero، طيب إذا معناته
+
+220
+00:15:11,160 --> 00:15:16,140
+ما فيش شغل، لازم يكون ما فيش شغل، يقدر عشان أنقل
+
+221
+00:15:16,140 --> 00:15:19,080
+الشحنة بالنقطتين على نفس الـ potential service، قال لي
+
+222
+00:15:19,080 --> 00:15:22,330
+طب عامةً ما زال الـ Equipotential Surface ممنوع يكون 
+
+223
+00:15:22,330 --> 00:15:26,730
+فيه شغل، طيب كيف أرسم من الـ Equipotential Surface
+
+224
+00:15:26,730 --> 00:15:30,310
+بحيث إنّ الـ work يكون عليه zero، صح ولا لأ؟ بس إذا 
+
+225
+00:15:30,310 --> 00:15:34,590
+الـ work صفر، بأضمن الجهود ثابت ولا لأ؟ أه، طيب قال
+
+226
+00:15:34,590 --> 00:15:37,170
+لي الـ work إيش بيساوي؟ قال لي الـ work هو أصلاً 
+
+227
+00:15:37,170 --> 00:15:44,090
+بيساوي Q تكامل E.DL، هلّقى أصلاً مش F.DL؟ قال لي إذا
+
+228
+00:15:44,090 --> 00:15:50,390
+أنت رسمت Surface بيكون هذا فيه سفر، بأضمن إنّه وجود
+
+229
+00:15:50,390 --> 00:15:53,290
+ثابت، قال طب أنا كيف هذا بيكون سفر، هذا بيكون عمودي 
+
+230
+00:15:53,290 --> 00:15:57,210
+على هذا بكفي، صح ولا لأ؟ لو كان عمودي ضد الـ product
+
+231
+00:15:57,210 --> 00:16:01,630
+بتبيحه، فهذه DL هو المكان اللي بنقل فيه المسار
+
+232
+00:16:01,630 --> 00:16:03,990
+اللي بنقل فيه الشحنة، أنا بدأ نقل على نفس الـ
+
+233
+00:16:03,990 --> 00:16:06,370
+surface، قال لي إذاً دائماً اللي ايه؟ كموتينشر الـ
+
+234
+00:16:06,370 --> 00:16:09,390
+surface بيكون عمودي على المجال الكهربائي بتكون
+
+235
+00:16:09,390 --> 00:16:11,850
+عمودي على المجال ايه؟ هيك بترسم الـ Equipotential 
+
+236
+00:16:11,850 --> 00:16:14,950
+Surface، إذا الـ Equipotential Surface بيكون 
+
+237
+00:16:14,950 --> 00:16:19,430
+عمودي، يعني جالي أنت عندك مجال منطبق، مش هيك برسمه
+
+238
+00:16:19,430 --> 00:16:22,770
+مش هيك، أنا برسم مجال منطبق، هذا ايه؟ جالي أرسم الـ
+
+239
+00:16:22,770 --> 00:16:26,090
+Equipotential Surface، جالي هذا بجيب هذا سطح، مش خط
+
+240
+00:16:26,090 --> 00:16:35,030
+سطح، زيك هذه Equipotential Surface طلع يا عزيزي
+
+241
+00:16:35,030 --> 00:16:39,600
+بقعد أنتج من هنا لهنا لهنا لهنا في شغل لأ، لأنّه
+
+242
+00:16:39,600 --> 00:16:43,840
+أنا وأنت متقل DL و IE عمودي، أنتقل من هالهالهال
+
+243
+00:16:43,840 --> 00:16:46,880
+طبعاً حتى لو كانت أنا ملتقى الهيك شباب، هذا ما هو 
+
+244
+00:16:46,880 --> 00:16:49,480
+هيك أنا ملتقى الهيك surface أنا ملتقى الهيك برضه
+
+245
+00:16:49,480 --> 00:16:52,960
+المجال عمودي ولا لأ؟ عشان كده يقول surface عشان تكون 
+
+246
+00:16:52,960 --> 00:16:57,240
+الكلية هيك surface لإن في عندي حتة إما هيك أو هيك
+
+247
+00:16:57,240 --> 00:17:01,120
+وبالتالي بيصير عندي surface بتحقق معه شرط إنّ الـ
+
+248
+00:17:01,120 --> 00:17:03,960
+work يكون zero، فقلت الـ eco potential مش line 
+
+249
+00:17:03,960 --> 00:17:07,780
+surface، عمودي على خط بيكون surface، فالـ eco
+
+250
+00:17:07,780 --> 00:17:11,100
+potential surface دائماً لازم يكون عمودي على خطوط 
+
+251
+00:17:11,100 --> 00:17:16,590
+المجال، عمودي على خطوط المجال هذا يعني أن خطوط
+
+252
+00:17:16,590 --> 00:17:20,910
+الهواتف يجب أن تكون مرتبطة بالخطوط الهواتف، واخر
+
+253
+00:17:20,910 --> 00:17:25,830
+حاجة إن خطوط الهواتف تصمم خطوط الهواتف طبعاً 
+
+254
+00:17:25,830 --> 00:17:28,510
+اتطلعوا هذا الخطوط عمودي ع عقدة المجال وليس عمودي
+
+255
+00:17:28,510 --> 00:17:34,170
+الهواتف، كيف يكون في المجال فقط خارج الهواتف عمودي
+
+256
+00:17:35,020 --> 00:17:38,180
+عمودي، إذا المقارنة صح، الكلام إنّ الـEquipotential
+
+257
+00:17:38,180 --> 00:17:41,260
+Surface لازم يكون عمودي على خطوط المجال، وهو المجال
+
+258
+00:17:41,260 --> 00:17:44,500
+على سطح أي كوندكتر عمودي عليه، في صوصك مع لبسه من
+
+259
+00:17:44,500 --> 00:17:48,160
+النقطة إذا كنتم ذاكرين، إذا الخضية متواترة وفيها 
+
+260
+00:17:48,160 --> 00:17:53,200
+تناغم في التثصير، إنّ أنا الـEquipotential Surface
+
+261
+00:17:53,200 --> 00:17:56,340
+هو السطح اللي بيكون جهده متساوي، كده بدي أرسمه
+
+262
+00:17:56,340 --> 00:18:00,080
+لأرسمه عمودي على خطوط المجال، بيكون أكيد ضمنت أنّ
+
+263
+00:18:00,080 --> 00:18:04,370
+يكون Equipotential Surface في هذه الحالة، تمام؟ دعوني
+
+264
+00:18:04,370 --> 00:18:07,830
+أشوف هذا المثال بيقول لي two conducting charge 
+
+265
+00:18:07,830 --> 00:18:12,270
+spheres، two spheres، بس conductors يعني مش plastic 
+
+266
+00:18:12,270 --> 00:18:17,190
+الآن الكورتين من النحاس، و3D واحدة R واحد، واحدة R
+
+267
+00:18:17,190 --> 00:18:20,610
+اتنين، حلو، واحد نصف قطر غير عن التانية، واحدة أكبر 
+
+268
+00:18:20,610 --> 00:18:24,430
+مصمطات بس conductor، جاليش جوه شوية شحنات، حتى لو
+
+269
+00:18:24,430 --> 00:18:27,430
+كانوا مصمطات لأنّه جالي سفير ما جاليش شيل، الشيل بعض 
+
+270
+00:18:27,430 --> 00:18:30,910
+على بعض، أنا جوه فاضية، جالي سفير لكن conductor هجيت
+
+271
+00:18:30,910 --> 00:18:34,010
+مصمطة ولا فاضية، في جوه شحنات مش شحنات أنا 
+
+272
+00:18:34,010 --> 00:18:38,580
+conductor، تمام، are separated by a distance much
+
+273
+00:18:38,580 --> 00:18:42,620
+larger than the radius of either seas، جميع هؤلاء
+
+274
+00:18:42,620 --> 00:18:45,800
+بعض، عم بعض كتير، بحيث أنّ المسافة اللي بينهم أكبر
+
+275
+00:18:45,800 --> 00:18:48,380
+كتير من أنصار أقطارهم، يعني خلّينا نقول واحدة هنا
+
+276
+00:18:48,380 --> 00:18:52,470
+والتانية موجودة في بيت حنوالكورات تانية في رفاح يا 
+
+277
+00:18:52,470 --> 00:18:55,150
+سيدي، تزعلش إذا أنت من سكان رفاح، واحدة هنا واحدة
+
+278
+00:18:55,150 --> 00:18:59,290
+في رفاح، وجبت لي سلك من رفاح لغزة لما وصلناهم
+
+279
+00:18:59,290 --> 00:19:03,150
+البقعد أكم contact، أصاروا واحد، إذا بدي أضمن إن في
+
+280
+00:19:03,150 --> 00:19:06,710
+واحد بيساوي في اتنين، الجهود تساوى، طب عن إيش جالي
+
+281
+00:19:06,710 --> 00:19:09,650
+تقول لي وديتها على رفاح، قد ما تقول لي وديتها على رفاح
+
+282
+00:19:09,650 --> 00:19:12,710
+لإن لو كانت جريبة واحدة هنا واحدة هنا تصير عندي
+
+283
+00:19:12,710 --> 00:19:18,090
+مشكلة، قد ما يشوفوني مشكلتها بيقول لي the two
+
+284
+00:19:18,090 --> 00:19:20,630
+spheres are connected by a conducting wire، خاص
+
+285
+00:19:20,630 --> 00:19:25,310
+وصلتهم ما زال، وصلتهم صار كنت بكتر واحد، إذا أي نقطة
+
+286
+00:19:25,310 --> 00:19:27,310
+على السطح هذا الجهد هيبقى بيكون على نفس النقطة على
+
+287
+00:19:27,310 --> 00:19:30,570
+السطح هداك ولا لأ؟ الجهد تساوى the charge on the 
+
+288
+00:19:30,570 --> 00:19:33,290
+spheres in equilibrium are Q1 and Q2، أنت جالس
+
+289
+00:19:33,290 --> 00:19:37,410
+شحنات، وجالسنا، وصار في عندك equilibrium جالسش في
+
+290
+00:19:37,410 --> 00:19:42,710
+شحنات هنا Q1، جالسش فينا شحنات Q2، فجيت سؤالي لو كان
+
+291
+00:19:42,710 --> 00:19:47,710
+الأول فيها عشرة والثانية فيها خمسة كلهم هنا خمسة 
+
+292
+00:19:47,710 --> 00:19:51,770
+كلهم تمام؟ وصلتهم، هل بالضرورة فيه سبعة ونص أو
+
+293
+00:19:51,770 --> 00:19:57,790
+سبعة ونص؟ هم إذا…إذا هم نفس الحجم…لا، لكن في
+
+294
+00:19:57,790 --> 00:20:02,470
+النهاية هدول جديش مجموعهم؟ خمسة عشر، لو واحد اثنين 
+
+295
+00:20:02,470 --> 00:20:05,960
+اللي بقى اليوم بيكون التالتة ثلاثة عشر، يعني المجموع
+
+296
+00:20:05,960 --> 00:20:09,580
+بيتغير؟ لأ، المجموع خمسة عشر، لو واحد أخذت اثنين لو
+
+297
+00:20:09,580 --> 00:20:11,980
+واحد أخذت سبعة ونص، الثاني بيتاخد سبعة ونص لكن لو
+
+298
+00:20:11,980 --> 00:20:15,020
+واحد أخذت ستة، الثاني إيش بيكون؟ تسعة، إذا المهم
+
+299
+00:20:15,020 --> 00:20:18,660
+المجموع بيكون واحد هي بيضاعفه لإن كل زيارة تشجع كل
+
+300
+00:20:18,660 --> 00:20:22,300
+زيارة، ولإنسانها، كل زيارة هي أنتجرت لكن ما ماتتش 
+
+301
+00:20:22,300 --> 00:20:28,580
+المجموع ده الواحد، المهم بيقول لي…خلّيني أقول 6 و 9…
+
+302
+00:20:28,580 --> 00:20:31,980
+الـ 6 اعتبرت Q1 والـ 9 اعتبرت Q2…أنا جست الشحنات
+
+303
+00:20:31,980 --> 00:20:34,940
+بعد ما انتجلوا هدول…إيش بيقول لي…the charges
+
+304
+00:20:34,940 --> 00:20:37,700
+on the spheres in equilibrium…بعد ما انتجلوا…
+
+305
+00:20:37,700 --> 00:20:42,040
+جدي الكلام في الأول مانيش دعوة…تمام…إيش بده
+
+306
+00:20:42,040 --> 00:20:46,420
+…خايل two spheres…واحدة في غزة واحدة في رفعة
+
+307
+00:20:46,420 --> 00:20:49,800
+…تمام…بعد… وهذا السلك طويل لما جبناهم…
+
+308
+00:20:49,800 --> 00:20:52,940
+تمام…قال يجب أن يجد مقارنة مقارنة مقارنة مقارنة
+
+309
+00:20:52,940 --> 00:20:53,540
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+310
+00:20:53,540 --> 00:20:54,200
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+311
+00:20:54,200 --> 00:20:58,940
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+312
+00:20:58,940 --> 00:21:03,060
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+313
+00:21:03,060 --> 00:21:03,180
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+314
+00:21:03,180 --> 00:21:08,740
+مقارنة مقارنة مقارنة
+
+315
+00:21:08,740 --> 00:21:14,520
+مقارنة عشان…عشان الـ conductor عشان الـ conductor
+
+316
+00:21:14,520 --> 00:21:17,380
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+317
+00:21:17,380 --> 00:21:17,880
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+318
+00:21:17,880 --> 00:21:19,120
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+319
+00:21:19,120 --> 00:21:20,080
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+320
+00:21:20,080 --> 00:21:24,760
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+321
+00:21:24,760 --> 00:21:28,840
+بيبقى
+
+322
+00:21:28,840 --> 00:21:37,260
+بيبقى
+
+323
+00:21:38,310 --> 00:21:41,470
+هذه دائماً موجودة، ما زالت وصله بيقول the same both 
+
+324
+00:21:41,470 --> 00:21:43,910
+spheres are connected by a conductor خلاص صاروا
+
+325
+00:21:43,910 --> 00:21:47,990
+conductor واحد، the potential is the same for both
+
+326
+00:21:47,990 --> 00:21:51,670
+spheres، V واحد و V واحد بيساوي V اتنين، طب كيف أجيب
+
+327
+00:21:51,670 --> 00:21:55,070
+V واحد وكيف أجيب V اتنين؟ V واحد أنا بقصد فيها
+
+328
+00:21:55,070 --> 00:21:58,870
+الجهد على سطح الأول و V اتنين الجهد على سطح الثاني
+
+329
+00:21:58,870 --> 00:22:03,870
+إنّ هذه واحد، آه V واحد هنا و V اتنين هناك، لو هدول
+
+330
+00:22:03,870 --> 00:22:07,220
+كانوا جرابعة، بعد شباب أجراب هدى وهدى مش خانونس ولا
+
+331
+00:22:07,220 --> 00:22:11,060
+غزة، هدى هنا وهدى هنا زي ما تشاهد فيها، جالي أودي
+
+332
+00:22:11,060 --> 00:22:13,540
+دي جهود عند النقطة هدى، بقول أنا بس جاي من الشحنات 
+
+333
+00:22:13,540 --> 00:22:18,300
+هدى ولا جاي من هدول كمان؟ جاي من هدول صح ولا لأ؟ إذا
+
+334
+00:22:18,300 --> 00:22:20,880
+أنا لما جالي واحدة في رفح وواحدة في غزة، جالي لما 
+
+335
+00:22:20,880 --> 00:22:24,440
+أجيب الجهود هنا انسى هديك مش موجودة بعيدة عنك، إذا
+
+336
+00:22:24,440 --> 00:22:27,320
+الجهود هنا بس من هدى وهدى، جهود عليكم دكتور طوى
+
+337
+00:22:27,320 --> 00:22:28,400
+طلعت أنا وياكم هنا
+
+338
+00:22:31,600 --> 00:22:35,180
+كيك ليو على نص القطر ولا لأ؟ إذا في واحد بيساوي كيك
+
+339
+00:22:35,180 --> 00:22:38,060
+ليو واحد على R واحد ولا لأ؟ كيك ليو واحد على R 
+
+340
+00:22:38,060 --> 00:22:41,500
+واحد، وفي اتنين كيك ليو اتنين على R اتنين، لكن لو
+
+341
+00:22:41,500 --> 00:22:44,520
+كانوا يقولوا أبقى مقدر أكتر بهذا الكلام؟ لأ، مقدر 
+
+342
+00:22:44,520 --> 00:22:47,960
+أكتر بهذا الكلام، تمام؟ لأن في سؤال في الـquizzات
+
+343
+00:22:47,960 --> 00:22:52,660
+وفي الكتاب يقول في تتو كورتين زي هيك، واحدة في
+
+344
+00:22:52,660 --> 00:22:55,800
+المركز الثاني، هدول كورتين مجوفتين، جاني واحد
+
+345
+00:22:55,800 --> 00:23:01,830
+وصلتهم بالسلك زي هيك، تمام؟ هجيتوا؟ اتوصلوا أو ما
+
+346
+00:23:01,830 --> 00:23:06,990
+اتوصلوش؟ إذا V1 بيساوي V2 قطعا لكن هل V1 بيساوي KQ
+
+347
+00:23:06,990 --> 00:23:10,790
+1 على R1؟ في مجال جوا؟ نفتامي كبير إذاً معناته لأنّه
+
+348
+00:23:10,790 --> 00:23:15,810
+جوا مع بعض، أنا أديكم شغلة، هجيت هادرو سار كوندكتور 
+
+349
+00:23:15,810 --> 00:23:22,590
+وأنت في مركز الشحنات؟ أي صدر حين خارجي في شحنات
+
+350
+00:23:22,590 --> 00:23:29,010
+هنا؟ فيش شحنات؟ في شحنات هنا؟ آه كل الشحنات لأنّ
+
+351
+00:23:29,010 --> 00:23:32,190
+الشحنات في مركز أخر…يعني قبل هنا فيه شحنات وهنا
+
+352
+00:23:32,190 --> 00:23:33,810
+فيه شحنات، وأصلتهم الشحنات اللي هنا بيشردوا 
+
+353
+00:23:33,810 --> 00:23:37,110
+بيجوا هنا على طول، هي فيه شحنات وهنا فيه شحنات لكن
+
+354
+00:23:37,110 --> 00:23:41,750
+فيه جهود؟ فيه…هي بيساوي جود الشحنات عليها كمان
+
+355
+00:23:41,750 --> 00:23:45,190
+شحنات عليها Zero لكن بالرغم من كده المجلس يقول KQ
+
+356
+00:23:45,190 --> 00:23:49,870
+على R، قبل إيش؟ بيقول موجود من جامنها لحالها فيها 
+
+357
+00:23:49,870 --> 00:23:54,250
+حواليها كمان شحنات، فبيساوي الجود اللي هنا بيساوي 
+
+358
+00:23:54,250 --> 00:23:58,220
+Zero، بالرغم من إن ما فيش شحنات، فهمتوا عليها يا شباب؟
+
+359
+00:23:58,220 --> 00:24:01,280
+إذا أنا لما أقول يبعد عن بعض كتير، عشان لما أجيب
+
+360
+00:24:01,280 --> 00:24:05,100
+جودر عند واحدة بس منها والثانية ما بتأثرش عليها
+
+361
+00:24:05,100 --> 00:24:12,060
+تمام؟ إذا بعد ما كتبت هذه عشان جاي إنّ I separated
+
+362
+00:24:12,060 --> 00:24:15,740
+by a distance much longer than the radius of
+
+363
+00:24:15,740 --> 00:24:21,360
+either sphere على طول بقدر أقول إن V1 بيساوي KQ1
+
+364
+00:24:21,360 --> 00:24:27,440
+على R1 و V2 بيساوي KQ2 على R2، إذا هذه الخطوة الثانية
+
+365
+00:24:27,440 --> 00:24:30,680
+ما كتبتاش إلا لما حكالي إنهم بيبعدوا عن بعض كتير
+
+366
+00:24:30,680 --> 00:24:33,880
+صار الجهد على سطح الأولى بيساوي الجهد اللي جاي من 
+
+367
+00:24:33,880 --> 00:24:36,680
+شحناتها فقط، والجهد على سطح الثانية بيساوي الجهد
+
+368
+00:24:36,680 --> 00:24:39,540
+اللي
+
+401
+00:27:02,970 --> 00:27:07,250
+that the charge density is greatest أكبر on the
+
+402
+00:27:07,250 --> 00:27:10,870
+small spheres as expected كيف expected  أن تتمركز
+
+403
+00:27:10,870 --> 00:27:15,350
+الشحنات عند المناطق الحادة at sharp points هذه
+
+404
+00:27:15,350 --> 00:27:19,710
+خاصية مشهورة ومعروفة وغيرها أثبتناها أنا جيبت ال
+
+405
+00:27:19,710 --> 00:27:23,010
+sigma's وبدوا E's طب خلنا نجيب الـ E بقولناها since
+
+406
+00:27:23,010 --> 00:27:25,900
+diameter field on the surface of a conductor هذه
+
+407
+00:27:25,900 --> 00:27:29,060
+المعلومة أخدناها في الـ lecture من الماضي أن شدة المجال
+
+408
+00:27:29,060 --> 00:27:32,440
+على conductor بساوية sigma على epsilon note مرت؟
+
+409
+00:27:32,440 --> 00:27:35,240
+اه perpendicular and equal to the sigma على
+
+410
+00:27:35,240 --> 00:27:38,900
+epsilon note طب إذا معناته بقدر أقول E1 على E2
+
+411
+00:27:38,900 --> 00:27:42,920
+بساوي sigma 1 على sigma 2 وراحت epsilon طبعا لأن
+
+412
+00:27:42,920 --> 00:27:45,700
+واحدة من الـ tan ابسلون طب sigma 1 على sigma 2 طب و
+
+413
+00:27:45,700 --> 00:27:47,780
+طلعتها معاكم ولا لا؟ طب وطلعناها 
+
+414
+00:27:50,960 --> 00:27:53,560
+النتيجة كانت تقول أن المنطقة الكهربائية كانت أكثر
+
+415
+00:27:53,560 --> 00:27:57,440
+قوية خلال المنطقة الصغيرة لماذا أكثر قوية؟ يقول
+
+416
+00:27:57,440 --> 00:28:00,840
+إنك هناك سيغما كبيرة وأنا خطوط المجال تتناسب مع
+
+417
+00:28:00,840 --> 00:28:03,680
+الشحنات ولا لأ؟ إذا معناها تكون قوية مش خضية 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..343c9b65afb1e0cd07f821f89d5d308c8e280f7c
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_postprocess.srt
@@ -0,0 +1,1668 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:11,980 --> 00:00:17,160
+بسم الله الرحمن الرحيم نعيد اخر حاجة وصلنا اليها
+
+3
+00:00:17,160 --> 00:00:21,460
+اللي هي electric potential and conductors حكينا
+
+4
+00:00:21,460 --> 00:00:26,900
+عنها لكن نعيدها بسرعة اتفقنا على ان ال conductors
+
+5
+00:00:26,900 --> 00:00:31,560
+in electrostatic equilibrium have some properties
+
+6
+00:00:31,560 --> 00:00:37,820
+نعيدها و نضيف عليها خاصية اخرى او خواص اخرىفي
+
+7
+00:00:37,820 --> 00:00:42,060
+الحلقة السابقة، قمنا بمعرفة بعض الواقعات لشركة
+
+8
+00:00:42,060 --> 00:00:48,160
+قنون جاوس بمساعدة قانون جاوس بإستخدام قانون جاوس
+
+9
+00:00:48,160 --> 00:00:55,690
+بإستخدام قانون جاوس بإستخدام قانون جاوسهذه خاصية
+
+10
+00:00:55,690 --> 00:00:59,550
+نابعة من ان الارصان اللي داخل أي كونبكتر هو 0
+
+11
+00:00:59,550 --> 00:01:05,150
+وبالتالي لا يوجد مجال اللي داخل أي كونبكتر الخاصية
+
+12
+00:01:05,150 --> 00:01:08,890
+الأخرى اللي أثبتناها سابقة ان الارصان اللي داخل أو
+
+13
+00:01:08,890 --> 00:01:13,270
+خارج كونبكتر أو على محطة كونبكتر يجب أن يكون مرتبط
+
+14
+00:01:13,270 --> 00:01:17,650
+بالمحطة ويقل إلى سيجما على إبسلون نوت هذه خاصية
+
+15
+00:01:17,650 --> 00:01:21,770
+أخرى هذين الخاصيتين سنستخدمهم الآن عشان نثبت خاصية
+
+16
+00:01:21,770 --> 00:01:23,170
+تالتة للكونبكتر
+
+17
+00:01:25,920 --> 00:01:30,740
+بحكيلي اخدت انه فرق الجهود بين نقطين Vfinal
+
+18
+00:01:30,740 --> 00:01:34,740
+-Vinitial where final and initial any points any
+
+19
+00:01:34,740 --> 00:01:39,280
+two points equal minus الintegral from initial
+
+20
+00:01:39,280 --> 00:01:46,110
+point to final point E.DLإذا هذه 0 او الزاوية بين
+
+21
+00:01:46,110 --> 00:01:50,750
+E و D الـ 90 درجة تطلع النتيجة 0 صح ولا لأ؟ لأن
+
+22
+00:01:50,750 --> 00:01:53,550
+إذا 90 درجة اتضبط الconductor بيعطينا كسايم كسايم
+
+23
+00:01:53,550 --> 00:01:58,010
+90 0 إذا هذه النتيجة 0 معناته هذه بتساوي هذه
+
+24
+00:01:58,010 --> 00:02:02,090
+معناته هذه بتساوي هذه قاللي هدول ايه ال two points
+
+25
+00:02:02,090 --> 00:02:06,550
+خلي ال two points يكونوا inside the conductor يعني
+
+26
+00:02:06,550 --> 00:02:10,890
+انا عندي شباب هاي conductor وهي initial point وهي
+
+27
+00:02:10,890 --> 00:02:16,910
+final pointحاجات هو انا ماشي من initial ل final من
+
+28
+00:02:16,910 --> 00:02:21,110
+initial ل final بدي اجمع المجال اي مجال بدي اجمعه
+
+29
+00:02:21,110 --> 00:02:24,570
+من initial ل final مش انا بدي اجمعه كامل يعني
+
+30
+00:02:24,570 --> 00:02:27,730
+اجمعه لما ماشي من initial ل final انا ماشي ال E
+
+31
+00:02:27,730 --> 00:02:32,490
+inside و E inside جديش؟ Zero إذا كان ال contain
+
+32
+00:02:32,490 --> 00:02:38,410
+inside بيكون E zero إذن هذه Zero معناته هذه بتساوي
+
+33
+00:02:38,410 --> 00:02:42,270
+هذه يعني الجهود داخل أي conductor بيساوي constant
+
+34
+00:02:43,010 --> 00:02:45,950
+لأن هذي الـinitial و الـfinal point اي two points
+
+35
+00:02:45,950 --> 00:02:49,050
+inside a conductor اي two points inside a
+
+36
+00:02:49,050 --> 00:02:53,230
+conductor اذا الـV initial equal V final هذا يعني
+
+37
+00:02:53,230 --> 00:02:58,550
+جهود داخل اي conductor لازم يسوي ثابت صح ولا لأ؟
+
+38
+00:02:58,550 --> 00:03:03,670
+فهذه الـfinal خليها هنا على السطح بالظبط نفس الشيء
+
+39
+00:03:03,670 --> 00:03:06,110
+انت بتبدأ من الـinitial و تصل لـfinal و طول ما انت
+
+40
+00:03:06,110 --> 00:03:10,610
+ماشي بدك E inside و E in the dishبتساوي zero إذا
+
+41
+00:03:10,610 --> 00:03:13,590
+برضه الجهود عند أي نقطة inside بتساوي الجهود على
+
+42
+00:03:13,590 --> 00:03:18,050
+السطح صح ولا لأ الشيء التالت اللي حكاليها لو كانت
+
+43
+00:03:18,050 --> 00:03:20,990
+ال initial point و ال final point على السطح هاي
+
+44
+00:03:20,990 --> 00:03:24,410
+initial و هاي final قاللي انت ماشي هيك طبعا و انا
+
+45
+00:03:24,410 --> 00:03:28,270
+ماشي هيك بكون ماشي مماس و لا مش ماشي مماس ماشي
+
+46
+00:03:28,270 --> 00:03:32,580
+مماس طب و انت ماشي اي جهود اي مجال اللي بدكبديك
+
+47
+00:03:32,580 --> 00:03:36,160
+المجال على السطح ولا لأ؟ بديك المجال على السطح،
+
+48
+00:03:36,160 --> 00:03:38,560
+لأنك انت ماشي هيك، طول ما انت ماشي بديك المجال
+
+49
+00:03:38,560 --> 00:03:40,800
+هتننى انت ماشي فيها، طول ما انت ماشي بتواجه
+
+50
+00:03:40,800 --> 00:03:44,100
+مجالات، اي مجالات على السطح، طب ايه شغلقة المجال
+
+51
+00:03:44,100 --> 00:03:47,850
+على السطح؟ عمودي على المماس، عمودي على السطحوما
+
+52
+00:03:47,850 --> 00:03:52,310
+زال عمودي والدبط ببقى نوجودة بتديني zero اذا برضه
+
+53
+00:03:52,310 --> 00:03:56,650
+شغلتك ان الجهود هنا بيسوي الجهود هنا صح ولا لأ؟
+
+54
+00:03:56,650 --> 00:04:00,970
+اذا الصرف يعندي الجهود جوا بيسوي ثابت الجوا وع
+
+55
+00:04:00,970 --> 00:04:04,570
+السطح بيسوي بعض التنتين ع السطح بيسوي ثابت اذا
+
+56
+00:04:04,570 --> 00:04:07,450
+الجهود ع السطح ثابت الجهود جوا بيسوي ثابت الجهود
+
+57
+00:04:07,450 --> 00:04:12,770
+جوا بيسوي جهود ع السطح برا خالص بيبقوا zero بيبقوا
+
+58
+00:04:12,770 --> 00:04:16,460
+zero بس عند القيمة اذا الجهود مابيسويش اللي برافي
+
+59
+00:04:16,460 --> 00:04:19,840
+قيمة تمام اما على السطح هنا just outside بالظبط
+
+60
+00:04:19,840 --> 00:04:23,340
+بيبقى على السطح اما بعيد او لا بيبقى ال zero بس
+
+61
+00:04:23,340 --> 00:04:26,900
+انت مدكي المجال اللي جانه ولا المجال اللي برا هنا
+
+62
+00:04:26,900 --> 00:04:32,080
+المجامي طبعا لما تكون جوا برا ثابت هنا zeroبنفس
+
+63
+00:04:32,080 --> 00:04:35,380
+التكامل برا وجوا و جوا سفر و برا يلو قيمة بتعملها
+
+64
+00:04:35,380 --> 00:04:39,960
+تمام بيقول ليه if the initial and the final points
+
+65
+00:04:39,960 --> 00:04:44,060
+lie inside a convector إذا كانوا نقطين جوا and
+
+66
+00:04:44,060 --> 00:04:47,260
+using the first property اللي بتقول إن إي إي إي
+
+67
+00:04:47,260 --> 00:04:50,280
+inside equal to zero we conclude that the electric
+
+68
+00:04:50,280 --> 00:04:54,160
+potential is constant لإن هادي بتسوي هادي ما زال
+
+69
+00:04:54,160 --> 00:04:56,620
+هادي سفر يعني هادي بتسوي هادي إذا ال electric
+
+70
+00:04:56,620 --> 00:05:01,010
+potential is constantinside the conductor طيب
+
+71
+00:05:01,010 --> 00:05:06,010
+بقولي furthermore لو كانت النقطين على السطح since
+
+72
+00:05:06,010 --> 00:05:10,410
+E is always normal to DL يعني normal to the
+
+73
+00:05:10,410 --> 00:05:13,790
+surface هي معناه normal to DL هذه خاصية هي ده
+
+74
+00:05:13,790 --> 00:05:17,350
+electric field on the surface of the conductor is
+
+75
+00:05:17,350 --> 00:05:20,430
+perpendicular to the surface يعني normal to DL هنا
+
+76
+00:05:21,570 --> 00:05:25,630
+الإلكترونية أيضًا مستمرة على محطة الهواتف.من هذه
+
+77
+00:05:25,630 --> 00:05:30,670
+الخاصية، يوجد أيضًا قيمة مهمة للهواتف التي تتبعها
+
+78
+00:05:30,670 --> 00:05:38,170
+.الإلكترونية داخل الهواتف في ايقاليبريام مستمرة
+
+79
+00:05:38,170 --> 00:05:42,390
+وايها قيمة تساوي قيمة جهدها الصفحة.يعني ثابت الوطن
+
+80
+00:05:42,390 --> 00:05:45,170
+اللي ما جدش كومتها كانت تساوي الجودة على السطح و
+
+81
+00:05:45,170 --> 00:05:48,970
+أثبتناها ان لو كانت initial point inside and final
+
+82
+00:05:48,970 --> 00:05:52,770
+point on the surface the two potentials must be
+
+83
+00:05:52,770 --> 00:05:57,560
+equal و هذه الخاصية بتكون صحيحةبقول ليه؟ طب لو
+
+84
+00:05:57,560 --> 00:06:00,660
+إجيت بدي أثبتها بالتفصيل، بدي أجيب الجهد جوا
+
+85
+00:06:00,660 --> 00:06:03,320
+كوندكتور، هل بيسوي الجهد على السطح؟ جالي كده بدي
+
+86
+00:06:03,320 --> 00:06:05,860
+أعمل، بدي أعمل زي ما عملت في الأول، كده بدي أجيب
+
+87
+00:06:05,860 --> 00:06:08,640
+الجهد، بدي أجيب التكامل، من مالة نهاية لنقطة، جالي
+
+88
+00:06:08,640 --> 00:06:12,740
+ها نقطة، بدي أجيب الجهد هنا، مش هذي inside شلال،
+
+89
+00:06:12,740 --> 00:06:15,720
+هذي ال center، و هذي مسافة R، و هذي مسافة capital
+
+90
+00:06:15,720 --> 00:06:21,160
+Rأنا الآن مطلوب مني أن أجيب الجودة عند النقطة P
+
+91
+00:06:21,160 --> 00:06:24,640
+هتبقى inside ولا مش inside حسب الخاصية بتقول
+
+92
+00:06:24,640 --> 00:06:28,220
+الجودة inside must be constant and equal to the
+
+93
+00:06:28,220 --> 00:06:31,640
+potential on the surface هيك الخاصية بتقول جاي انا
+
+94
+00:06:31,640 --> 00:06:34,780
+هذه الخاصية بعرفهاش يعني هلأ نثبتها بقول V عند
+
+95
+00:06:34,780 --> 00:06:37,660
+النقطة P بالساوى سالي بالتكامل من المنة النهائية
+
+96
+00:06:37,660 --> 00:06:45,080
+للنقطة P اللي هي R E dot DLصح انا انا شباب انا بدي
+
+97
+00:06:45,080 --> 00:06:49,840
+اقول ايه؟ بون ببدأ انا المال النهائي برا ولا جوا؟
+
+98
+00:06:49,840 --> 00:06:54,260
+برا يعني ايه اللي برا بدي اياها؟ طب وين بخلص؟ جوا
+
+99
+00:06:54,260 --> 00:06:57,460
+برضه ايه اللي جوا بدي اياها؟ اش اسوي ارجع ناخد
+
+100
+00:06:57,460 --> 00:07:01,260
+شمام و بطيخ بنفعج معاهم مع بعض اللي برا بدي اياها
+
+101
+00:07:01,260 --> 00:07:03,140
+اللي جوا بدي اياها؟ يجب ان تخلي اللي برا برا و
+
+102
+00:07:03,140 --> 00:07:06,640
+اللي جوا جوا بقول اللي برا من المال النهائي ل
+
+103
+00:07:06,640 --> 00:07:09,480
+capital R هتبدأ في المال النهائي و بنتح عند
+
+104
+00:07:09,480 --> 00:07:17,690
+capital R في جوا هنا؟لأ هنا اذا انا اي E بدك ايه
+
+105
+00:07:17,690 --> 00:07:21,130
+دول عندك من capital R ل small r من capital R ل
+
+106
+00:07:21,130 --> 00:07:28,610
+small r جوه او مجوه جوه en dot dl دي ديش هذي سفر
+
+107
+00:07:28,610 --> 00:07:32,930
+since it is a conductor conductor اذا E بتسوي zero
+
+108
+00:07:32,930 --> 00:07:35,990
+جالي هذي بتعرفها ويقولوا اه بعرفها هذي E outside
+
+109
+00:07:35,990 --> 00:07:41,560
+أخدناها وطبقناها وبتسوي ع هيك قانونهاصح ولا لأ؟
+
+110
+00:07:41,560 --> 00:07:44,460
+طيب كي و كي و طلعهم برا التكامل ولا ماطلعهم ايش؟
+
+111
+00:07:44,460 --> 00:07:48,580
+طلعهم ايش بيطلع انك؟ DR وDL ضد الـDR هنا طبعا TR
+
+112
+00:07:48,580 --> 00:07:55,300
+unit vector بيصير DR بيصير سالب KQ تكامل DR على R
+
+113
+00:07:55,300 --> 00:08:00,280
+تربية من منا نهاية لcapital Rوهذه او واحد صح ولا
+
+114
+00:08:00,280 --> 00:08:05,820
+لأ ايش تكامل DR على R تربيع سالب واحد على اعصار KQ
+
+115
+00:08:05,820 --> 00:08:11,380
+واحد على small r من صفر لcapital R وطلعت KQ على
+
+116
+00:08:11,380 --> 00:08:18,720
+capital R ثابت ولا لم يتثابت K ثابت Q ثابتة نص قطر
+
+117
+00:08:19,550 --> 00:08:22,190
+فتجعلت النتيجة ثابت طب لو احد اللي اوجد جهد على
+
+118
+00:08:22,190 --> 00:08:25,990
+السطح جبته انا وياكم بسوى KQ على كبتل R ولا لأ اذا
+
+119
+00:08:25,990 --> 00:08:29,310
+الجهد داخل اي conductor بسوى مقدار ثابت ويسوى
+
+120
+00:08:29,310 --> 00:08:34,650
+الجهد على السطحصح مافيش أي مشكلة في هذه القضية
+
+121
+00:08:34,650 --> 00:08:37,970
+بيقول لي to prove this property explicitly
+
+122
+00:08:37,970 --> 00:08:41,150
+بالتفصيل let us consider a conducting sphere of
+
+123
+00:08:41,150 --> 00:08:44,090
+radius capital R and its charge capital Q. The
+
+124
+00:08:44,090 --> 00:08:46,850
+electric potential at about inside the sphere هيقل
+
+125
+00:08:46,850 --> 00:08:50,930
+من جسم التكامل المضطر. عشان E out لا تسوى E in
+
+126
+00:08:50,930 --> 00:08:57,610
+تمامالان EM بالثانية صفر التكامل كان روح و هي او ت
+
+127
+00:08:57,610 --> 00:09:01,770
+وهي لما اتعملتها طلعت دي بالثورة هذه وهذه هي نفس
+
+128
+00:09:01,770 --> 00:09:04,190
+الجهود العصرية which is the value of the potential
+
+129
+00:09:04,190 --> 00:09:07,450
+at the surface of the conductor وبالتالي صار في
+
+130
+00:09:07,450 --> 00:09:11,830
+عندي انا الآن شباب اتفقت ان المجال جوا ال
+
+131
+00:09:11,830 --> 00:09:18,690
+conductor zero لكن الجهود zero لأ ثابت الان الجهود
+
+132
+00:09:18,690 --> 00:09:22,820
+عندي ال centerبقدر يقول عنه سفر؟ لأ مش السنطة دي
+
+133
+00:09:22,820 --> 00:09:25,640
+جوا إذا انتظرت و بيسافر الجهود على السطح ولا لأ
+
+134
+00:09:25,640 --> 00:09:30,240
+يعني هنا ولا هنا ولا هنا ولا هنا جهود واحد ولا لأ
+
+135
+00:09:30,240 --> 00:09:34,520
+بيجهود واحد بعد كده بقى الجهود صار برا بيبدأ يروح
+
+136
+00:09:34,520 --> 00:09:37,740
+عندما النهاية تتوقع بإيش الجهود يسافر سفر زي ما
+
+137
+00:09:37,740 --> 00:09:41,020
+اتوقعينها فهذه رسمة بتفرج الجهود هذا الخط الأزرق
+
+138
+00:09:41,020 --> 00:09:46,010
+شايفينه بتفرج رسمة الجهودas a function of small r
+
+139
+00:09:46,010 --> 00:09:50,030
+و الـ r بتغير طول ما هو جوا عندي مقدار واقع للجود
+
+140
+00:09:50,030 --> 00:09:53,670
+بعدين بتلاشى لما النهاية بيصير سفر هذه مش خبيرة
+
+141
+00:09:53,670 --> 00:09:57,490
+بيقولي the figure shows the variation of v as a
+
+142
+00:09:57,490 --> 00:10:00,270
+function of the radial distance small r for a
+
+143
+00:10:00,270 --> 00:10:02,570
+conducting sphere of radius capital R طبعا احنا
+
+144
+00:10:02,570 --> 00:10:08,500
+بنحكي أقدام كتير تماموحكينا بعد كده ما زالش جهد
+
+145
+00:10:08,500 --> 00:10:12,320
+على السطح بيسوي ثابت لو كان عندي two conductor صار
+
+146
+00:10:12,320 --> 00:10:16,720
+conductor واحد توصلوا إذا لازم جهدهم يتساوى لازم
+
+147
+00:10:16,720 --> 00:10:20,380
+جهدهم يتساوى لأنه صار conductor واحد بيقولي if two
+
+148
+00:10:20,380 --> 00:10:23,480
+or more conducting objects are connected by a
+
+149
+00:10:23,480 --> 00:10:26,820
+conducting wire the conductors are no longer
+
+150
+00:10:26,820 --> 00:10:32,260
+separatedbut can be considered as a single
+
+151
+00:10:32,260 --> 00:10:38,120
+conductor اي نقطة على هذه النقطة لازم تكون جودها
+
+152
+00:10:38,120 --> 00:10:42,040
+بيكون ثابت و بيساوي الجودة على اي نقطة اخرى يعني
+
+153
+00:10:42,040 --> 00:10:45,300
+ايش بيقولي this means that the electric charges
+
+154
+00:10:45,300 --> 00:10:48,840
+will transfer from the conductor of higher
+
+155
+00:10:48,840 --> 00:10:52,080
+potential to that of lower potential until
+
+156
+00:10:52,080 --> 00:10:55,100
+equilibrium condition is achieved طبعا لما تنتقل
+
+157
+00:10:55,100 --> 00:10:58,560
+الشحنات شباب تقريبا ساعة ولا ساعتين ولا حتى جيجا
+
+158
+00:10:58,560 --> 00:11:01,560
+جزء من ثانيةعلى طول بتنقل الشحنات وبصير في استقرار
+
+159
+00:11:01,560 --> 00:11:06,160
+وخلاص وقتش بتتساقر الشحنات لما تتساوى الجهود
+
+160
+00:11:06,160 --> 00:11:08,960
+تتساوى الجهود بقى تبقى في حركة خلاص وهذه عملية
+
+161
+00:11:08,960 --> 00:11:12,400
+بتستغرق ملي ساكنس ملي ساكنس على طول بتنتقل الشحنات
+
+162
+00:11:12,400 --> 00:11:15,260
+مرة واحدة زي الواحد لما يجيب الله بتعرفوا انتوا
+
+163
+00:11:15,260 --> 00:11:18,520
+فكرة الأوان المستطرقة اللي بيسموها بتعرفوها ما
+
+164
+00:11:18,520 --> 00:11:22,440
+بتعرفوهاش انا أخدناها في تلتة ابتدائي أيامنا شوفوا
+
+165
+00:11:22,440 --> 00:11:30,580
+التلتة ابتدائي لو جيبت برميل اتشوتتمام؟ واحد يشوف
+
+166
+00:11:30,580 --> 00:11:33,220
+يجيب تلمس صورة فتحت البرميل على ال t-shirt، إيش
+
+167
+00:11:33,220 --> 00:11:37,500
+بده يصير؟ تتخلى الميه من البرميل ال t-shirt، إذا
+
+168
+00:11:37,500 --> 00:11:41,040
+البرميل كتير عالي، بتطفو ال t-shirt، صح ولا؟ لما
+
+169
+00:11:41,040 --> 00:11:45,660
+يصير مستوى الميه نفس المستوى، نفس المستوى يعني نفس
+
+170
+00:11:45,660 --> 00:11:49,400
+الجهودنفس الجهود تبتقى من الميه من الأعلى إلى
+
+171
+00:11:49,400 --> 00:11:54,740
+الأوطى حتى لو كان نفترض ان انت عندك برميل خليني
+
+172
+00:11:54,740 --> 00:12:00,040
+بلاش برميل لو كانت عندك مثلا خليني أقول أمبوبة
+
+173
+00:12:00,040 --> 00:12:05,010
+طويلة فيها ميه ويجيب تشط كبيرتمام؟ بتضلها تنزل
+
+174
+00:12:05,010 --> 00:12:07,410
+المي لما الارتفاع يصير زي بعض، بتضلها حتى لو كانت
+
+175
+00:12:07,410 --> 00:12:10,190
+قليلة على ال .. المهم الارتفاع فالارتفاع ايه؟ لما
+
+176
+00:12:10,190 --> 00:12:12,970
+يتساوي بتنطق و تنتقل المي و الارتفاع يعني معناته
+
+177
+00:12:12,970 --> 00:12:15,650
+الجود هنا في هذه العالم طبعا هناك اللي بيقعد فيها
+
+178
+00:12:15,650 --> 00:12:19,090
+دور potential energy فكلمة potential إلها دعوة لإن
+
+179
+00:12:19,090 --> 00:12:21,450
+احنا جيبنا كلمة potential هنا أصلا من potential
+
+180
+00:12:21,450 --> 00:12:25,290
+energy هنا كهربا هناك جاذبية و إلها دعوة في هذه
+
+181
+00:12:25,290 --> 00:12:30,660
+القضايا تمام؟بالتالي اذا اتجهت او اتجهت او اتجهت
+
+182
+00:12:30,660 --> 00:12:32,380
+او اتجهت او اتجهت او اتجهت او اتجهت او اتجهت او
+
+183
+00:12:32,380 --> 00:12:35,800
+اتجهت او اتجهت او اتجهت او اتجهت او اتجهت او اتجهت
+
+184
+00:12:35,800 --> 00:12:36,040
+او اتجهت او اتجهت او اتجهت او اتجهت او اتجهت او
+
+185
+00:12:36,040 --> 00:12:42,920
+او اتجهت او اتجهت او اتجهت او اتجهت او
+
+186
+00:12:42,920 --> 00:12:52,440
+اتجهت او اتجهت او
+
+187
+00:12:52,670 --> 00:12:55,770
+قال بدل ما تجيسي المجال، جيسي الجهود، ما هو ياهية،
+
+188
+00:12:55,770 --> 00:12:58,970
+الجهود أحسن لك لما تتعامل مع scholars، عشان كده
+
+189
+00:12:58,970 --> 00:13:02,270
+الدين هو وحدة لحاله، مع أن المجال ليس وحدة لحاله،
+
+190
+00:13:02,270 --> 00:13:06,510
+و هو أصل الجهود من المجال، صح ولا لأ؟ فقال، فابنت
+
+191
+00:13:06,510 --> 00:13:10,710
+المجال اتعرفت عليه، وصرت ترصب بخطوط مجال،فبالجهود
+
+192
+00:13:10,710 --> 00:13:14,910
+اللى بده يبدل المجال ويستبدل المجال كيف بدي ألصمه؟
+
+193
+00:13:14,910 --> 00:13:18,390
+ده نفس العملية بدي ألصمه بأسطح بس المرة هذه مش
+
+194
+00:13:18,390 --> 00:13:21,190
+بخطوط مجالي بأسطح هذه الأسطح هسموها equal
+
+195
+00:13:21,190 --> 00:13:25,590
+potential surfaces كمان مرة equal potential equal
+
+196
+00:13:25,590 --> 00:13:28,770
+معناته equal وpotential معناته الجهود هو السطح
+
+197
+00:13:28,770 --> 00:13:34,270
+اللى جهوده متساوية بسميه equal potential surfaceزي
+
+198
+00:13:34,270 --> 00:13:37,970
+في مفّخ و زي .. خلّيني أقول الـ conductor فيه أي
+
+199
+00:13:37,970 --> 00:13:42,130
+نقطين على ال conductor جهدهم الثابت؟ فيه؟ بقدر
+
+200
+00:13:42,130 --> 00:13:46,070
+أقول ال conductor is an equipotential surface؟ أه،
+
+201
+00:13:46,070 --> 00:13:53,020
+أه، فيه جهد واحدبيقولي a surface with all its
+
+202
+00:13:53,020 --> 00:13:56,400
+points are at the same electric potential is
+
+203
+00:13:56,400 --> 00:13:59,580
+called equipotential surface واضح من الاسم احنا
+
+204
+00:13:59,580 --> 00:14:03,160
+بيقولنا كل مسمى من اسمه نصيب وفي التعريفات كل مسمى
+
+205
+00:14:03,160 --> 00:14:07,960
+من اسمه كل نصيبلأن كله لازم يكون الاسم ايه اصلا
+
+206
+00:14:07,960 --> 00:14:11,760
+انا جيت اسم الصفة غير لو حينما اجيب والد صغير
+
+207
+00:14:11,760 --> 00:14:14,480
+بسميه كريم الله يعني لما يطلع كريم لما يطلع بقيت
+
+208
+00:14:14,480 --> 00:14:18,060
+بقول اخي بسميه كريم و هو حق لكن بقول انه لكل اسمه
+
+209
+00:14:18,060 --> 00:14:21,480
+مسمى من اسمه نصيب بتطلع بعيد شанс انه الله سموه
+
+210
+00:14:21,480 --> 00:14:24,220
+كريم طلع كريم تمام بس هنا انا سميته و انا عارف
+
+211
+00:14:24,220 --> 00:14:28,540
+صفته صح ولا لأ فالتسمية يتلاحقا وبالتالي لكل مسمى
+
+212
+00:14:28,540 --> 00:14:30,980
+من التعريف كل نصيب تمام
+
+213
+00:14:35,540 --> 00:14:42,400
+من هذه التفريقات تقول ان لا عمل يتم فعله بطارية
+
+214
+00:14:42,400 --> 00:14:45,340
+طوارئ تتحرك في مقاطع تحميل مقاطع تحميل مقاطع تحميل
+
+215
+00:14:45,340 --> 00:14:47,060
+مقاطع تحميل مقاطع تحميل مقاطع تحميل مقاطع تحميل
+
+216
+00:14:47,060 --> 00:14:57,440
+مقاطع
+
+217
+00:14:57,440 --> 00:15:02,180
+تحميل
+
+218
+00:15:02,240 --> 00:15:06,580
+0 لأنه قاللي هو الشغل مش هو فرق الجهد مضروف الشحنة
+
+219
+00:15:06,580 --> 00:15:11,160
+طيب فرق الجهد صفر جديش الشغل zero طيب إذا معناته
+
+220
+00:15:11,160 --> 00:15:16,140
+مافيش شغل لازم يكون مافيش شغل يقدر عشان أنقل
+
+221
+00:15:16,140 --> 00:15:19,080
+الشحنة بالنقطين على نفس ال potential service قاللي
+
+222
+00:15:19,080 --> 00:15:22,330
+طب عامةمازال الـ Equipotential Surface ممنوع يكون
+
+223
+00:15:22,330 --> 00:15:26,730
+فيه شغل طيب كيف أرسم من الـ Equipotential Surface
+
+224
+00:15:26,730 --> 00:15:30,310
+بحيث أن ال work يكون عليه zero صح ولا لأ؟ بس إذا
+
+225
+00:15:30,310 --> 00:15:34,590
+ال work صفر بأضمن الجهود ثابت ولا لأ؟ أه طيب قال
+
+226
+00:15:34,590 --> 00:15:37,170
+لي ال work إيش بيساوي؟ قال لي ال work هو أصلا
+
+227
+00:15:37,170 --> 00:15:44,090
+بيساوي Q تكامل E.DL هلقى أصلا مش F.DL؟ قال لي إذا
+
+228
+00:15:44,090 --> 00:15:50,390
+انت رسمت Surfaceبكون هذا فيه سفر بأضمن انه وجود
+
+229
+00:15:50,390 --> 00:15:53,290
+ثابت قال طب انا كيف هذا بيكون سفر هذا بيكون عمودي
+
+230
+00:15:53,290 --> 00:15:57,210
+على هذا بكفي صح ولا لأ لو كان عمودي ضد ال product
+
+231
+00:15:57,210 --> 00:16:01,630
+بتبيحها فهذه DL هو المكان اللي بنقل فيه المسار
+
+232
+00:16:01,630 --> 00:16:03,990
+اللي بنقل فيه الشحنة انا بدأ نقل على نفس ال
+
+233
+00:16:03,990 --> 00:16:06,370
+surface قال لي إذا دائما اللي ايه كموتينشر ال
+
+234
+00:16:06,370 --> 00:16:09,390
+surface بيكون عمودي على المجال الكهربائيبتكون
+
+235
+00:16:09,390 --> 00:16:11,850
+عمودي على المجال إيه هيك بترسم الـ Equipotential
+
+236
+00:16:11,850 --> 00:16:14,950
+Surface إذا الإيه الـ Equipotential Surface بيكون
+
+237
+00:16:14,950 --> 00:16:19,430
+عمودي يعني جالي انت عندك مجال منطبق مش هيك برسمه
+
+238
+00:16:19,430 --> 00:16:22,770
+مش هيك أنا برسم مجال منطبق هذا إيه جالي أرسم الـ
+
+239
+00:16:22,770 --> 00:16:26,090
+Equipotential Surface جالي هذا بجيب هذا سطح مش خط
+
+240
+00:16:26,090 --> 00:16:35,030
+سطح زيك هذه Equipotential Surface طلع يا عزيزي
+
+241
+00:16:35,030 --> 00:16:39,600
+بقعد انتج من هنا ل هنا ل هنا ل هنا في شغللأ لأنه
+
+242
+00:16:39,600 --> 00:16:43,840
+انا و انت متقل IDL و IE عمودي انتقل من هالهالهال
+
+243
+00:16:43,840 --> 00:16:46,880
+طبعا حتى لو كانت انا ملتقى الهيك شباب هذا ما هو
+
+244
+00:16:46,880 --> 00:16:49,480
+هيك انا ملتقى الهيك surface انا ملتقى الهيك برضه
+
+245
+00:16:49,480 --> 00:16:52,960
+المجال عمودي ولا لأ عشان كده يقول surfaceعشان تكون
+
+246
+00:16:52,960 --> 00:16:57,240
+الكلية هيك surface لإن في عندي حتة اما هيك او هيك
+
+247
+00:16:57,240 --> 00:17:01,120
+وبالتالي بيصير عندي surface بتحقق معه شرق انه ال
+
+248
+00:17:01,120 --> 00:17:03,960
+work يكون zero فقلت ال eco potential مش line
+
+249
+00:17:03,960 --> 00:17:07,780
+surface عمودي على خط بيكون surface فال eco
+
+250
+00:17:07,780 --> 00:17:11,100
+potential surface دائما لازم يكون عمودي على خطوط
+
+251
+00:17:11,100 --> 00:17:16,590
+المجال عمودي على خطوط المجالهذا يعني أن خطوط
+
+252
+00:17:16,590 --> 00:17:20,910
+الهواتف يجب أن تكون مرتبطة بالخطوط الهواتف واخر
+
+253
+00:17:20,910 --> 00:17:25,830
+حاجة أن خطوط الهواتف تصمم خطوط الهواتف طبعا
+
+254
+00:17:25,830 --> 00:17:28,510
+اتطلعوا هذا الخطوط عمودي عقودة المجال وليس عمودي
+
+255
+00:17:28,510 --> 00:17:34,170
+الهواتف كيف يكون في المجال فقط خارج الهواتف عمودي
+
+256
+00:17:35,020 --> 00:17:38,180
+عمودي، إذا المقناته صح الكلاه إن الـEquipotential
+
+257
+00:17:38,180 --> 00:17:41,260
+Surface لازم يكون عمودي على خطوط المجال وهو المجال
+
+258
+00:17:41,260 --> 00:17:44,500
+على سطح أي كوندكتر عمودي عليه في صوصك مع لبسه من
+
+259
+00:17:44,500 --> 00:17:48,160
+النقطة إذا كنتوا ذاكرين إذا الخضية متواترة وفيها
+
+260
+00:17:48,160 --> 00:17:53,200
+تناغم في التثصير إنه أنا الـEquipotential Surface
+
+261
+00:17:53,200 --> 00:17:56,340
+هو السطح اللي بيكون جوهده متساوي كده بدي أرسمه
+
+262
+00:17:56,340 --> 00:18:00,080
+لإيرسمه عمودي على خطوط المجال بيكون أكيد ضمنت أن
+
+263
+00:18:00,080 --> 00:18:04,370
+يكون Equipotential Surface في هذه الحالة تمامدعوني
+
+264
+00:18:04,370 --> 00:18:07,830
+أشوف هذا المثال بيقول لي two conducting charge
+
+265
+00:18:07,830 --> 00:18:12,270
+spheres two spheres بس conductors يعني مش plastic
+
+266
+00:18:12,270 --> 00:18:17,190
+الآن القلطين من النحاسو3D واحدة R واحد واحدة R
+
+267
+00:18:17,190 --> 00:18:20,610
+اتنين حلو واحد نصف كتر غير عن التانية واحدة اكبر
+
+268
+00:18:20,610 --> 00:18:24,430
+مصمطات بس conductor جاليش جوه شويه شحنات حتى لو
+
+269
+00:18:24,430 --> 00:18:27,430
+كانوا مصمطات لانه جالي سفير ماجاليش شيل الشيل بعض
+
+270
+00:18:27,430 --> 00:18:30,910
+ع بعض انا جوه فاضية جالي شفير لكن conductor هجيت
+
+271
+00:18:30,910 --> 00:18:34,010
+مصمطة ولا فاضية في جوه شحنات مش شحنات انا
+
+272
+00:18:34,010 --> 00:18:38,580
+conductorتمام are separated by a distance much
+
+273
+00:18:38,580 --> 00:18:42,620
+larger than the radius of either seas جميع هؤلاء
+
+274
+00:18:42,620 --> 00:18:45,800
+بعض عم بعض كتير بحيث أن المسافة اللي بينهم أكبر
+
+275
+00:18:45,800 --> 00:18:48,380
+كتير من أنصار أقطارهم يعني خلنا نقول واحدة هنا
+
+276
+00:18:48,380 --> 00:18:52,470
+والتاني موجودة في بيت حنوالكورات تانية في رفاح يا
+
+277
+00:18:52,470 --> 00:18:55,150
+سيدي تزعلش اذا انت من السكان رفاح واحدة هنا واحدة
+
+278
+00:18:55,150 --> 00:18:59,290
+في رفاح و جيبني سلك من رفاح لغزة لما وصلناهم
+
+279
+00:18:59,290 --> 00:19:03,150
+البقعد اكم contact اصاروا واحد اذا بدي اضمن ان في
+
+280
+00:19:03,150 --> 00:19:06,710
+واحد بيساوي في اتنين الجهود تساوى طب عن ايش جالي
+
+281
+00:19:06,710 --> 00:19:09,650
+تقوليش ودتها على رفاح قد ما تقوليش ودتها على رفاح
+
+282
+00:19:09,650 --> 00:19:12,710
+لإن لو كانت جريبة واحدة هنا واحدة هنا تصير عندي
+
+283
+00:19:12,710 --> 00:19:18,090
+مشكلة قد ما يشوفوني مشكلتهابيقول لي the two
+
+284
+00:19:18,090 --> 00:19:20,630
+spheres are connected by a conducting wire خاص
+
+285
+00:19:20,630 --> 00:19:25,310
+وصوتهم ما زال وصوتهم صار كنت بكتر واحد اذا اي نقطة
+
+286
+00:19:25,310 --> 00:19:27,310
+على السطح هذا الجهد هيبقى بيكون على نفس النقطة على
+
+287
+00:19:27,310 --> 00:19:30,570
+السطح هداك ولا لأ الجهد تساوى the charge on the
+
+288
+00:19:30,570 --> 00:19:33,290
+spheres in equilibrium are Q1 and Q2 انت جالس
+
+289
+00:19:33,290 --> 00:19:37,410
+شحنات و جالسنا و صار في عندك equilibrium جالسش في
+
+290
+00:19:37,410 --> 00:19:42,710
+شحنات هنا Q1 جالسش فينا شحنات Q2 فجيت سؤالي لو كان
+
+291
+00:19:42,710 --> 00:19:47,710
+الأول فيها عشرة والتانية فيها خمسةكلهم هنا خمسة
+
+292
+00:19:47,710 --> 00:19:51,770
+كلهم تمام؟ وصلتهم هل بالضرورة فيه سبعة و نص أو
+
+293
+00:19:51,770 --> 00:19:57,790
+سبعة و نص؟ هم إذا .. إذا هم نفس الحجم .. لا لكن في
+
+294
+00:19:57,790 --> 00:20:02,470
+النهاية هدول جديش مجموعهم خمس طاعت لو واحد اتنين
+
+295
+00:20:02,470 --> 00:20:05,960
+اللي بقى اليوم بيكونالتالتة ثلاثة عشر يعني المجموع
+
+296
+00:20:05,960 --> 00:20:09,580
+بيتغير؟ لأ المجموع خمس عشر لو واحد أخدت اتنين لو
+
+297
+00:20:09,580 --> 00:20:11,980
+واحد أخدت سبعة و نص التاني بيتاخد سبعة و نص لكن لو
+
+298
+00:20:11,980 --> 00:20:15,020
+واحد أخدت ستة التاني ايش بيكون؟ تسعة اذا المهم
+
+299
+00:20:15,020 --> 00:20:18,660
+المجموع بيكون واحد هي بيضاعفه لإن كل زيارة تشجع كل
+
+300
+00:20:18,660 --> 00:20:22,300
+زيارة و لإنسانها كل زيارة هي انتجرت لكن ما ماتتش
+
+301
+00:20:22,300 --> 00:20:28,580
+المجموع ده الواحد المهم بيقوليخلّيني أقول 6 و 9 ..
+
+302
+00:20:28,580 --> 00:20:31,980
+ال 6 أعتبرت Q1 و 9 أعتبرت Q2 .. أنا جست الشحنات
+
+303
+00:20:31,980 --> 00:20:34,940
+بعد ما انتجلوا هدول .. ايش بيقولي .. the charges
+
+304
+00:20:34,940 --> 00:20:37,700
+on the spheres in equilibrium .. بعد ما انتجلوا ..
+
+305
+00:20:37,700 --> 00:20:42,040
+جدي الكلام في الأول مانيش دعوة .. تمام .. إيش بده
+
+306
+00:20:42,040 --> 00:20:46,420
+.. خايل two spheres .. واحدة في غزة واحدة في رفعة
+
+307
+00:20:46,420 --> 00:20:49,800
+.. تمام .. بعد .. و هذا السلك طويل لما جبناهم ..
+
+308
+00:20:49,800 --> 00:20:52,940
+تمام ..قال يجب ان يجد مقارنة مقارنة مقارنة مقارنة
+
+309
+00:20:52,940 --> 00:20:53,540
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+310
+00:20:53,540 --> 00:20:54,200
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+311
+00:20:54,200 --> 00:20:58,940
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+312
+00:20:58,940 --> 00:21:03,060
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+313
+00:21:03,060 --> 00:21:03,180
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+314
+00:21:03,180 --> 00:21:08,740
+مقارنة مقارنة مقارنة
+
+315
+00:21:08,740 --> 00:21:14,520
+مقارنةعشان .. عشان ال conductor عشان ال conductor
+
+316
+00:21:14,520 --> 00:21:17,380
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+317
+00:21:17,380 --> 00:21:17,880
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+318
+00:21:17,880 --> 00:21:19,120
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+319
+00:21:19,120 --> 00:21:20,080
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+320
+00:21:20,080 --> 00:21:24,760
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+321
+00:21:24,760 --> 00:21:28,840
+بيبقى
+
+322
+00:21:28,840 --> 00:21:37,260
+بيبقى
+
+323
+00:21:38,310 --> 00:21:41,470
+هذه دائما موجودة ما زالت وصله بيقول the same both
+
+324
+00:21:41,470 --> 00:21:43,910
+spheres are connected by a conductor خلاص صاروا
+
+325
+00:21:43,910 --> 00:21:47,990
+conductor واحد the potential is the same for both
+
+326
+00:21:47,990 --> 00:21:51,670
+spheres I واحد و V واحد بيساوي V اتنين طب كيف اجيب
+
+327
+00:21:51,670 --> 00:21:55,070
+V واحد و كيف اجيب V اتنين V واحد انا بقصد فيها
+
+328
+00:21:55,070 --> 00:21:58,870
+الجهد على سطح الأول و V اتنين الجهد على سطح التاني
+
+329
+00:21:58,870 --> 00:22:03,870
+ان هذه واحد اه V واحد هنا و V اتنين هناك لو هدول
+
+330
+00:22:03,870 --> 00:22:07,220
+كانوا جرابعة بعد شباباجراب هدى و هدى مش خانونس ولا
+
+331
+00:22:07,220 --> 00:22:11,060
+غزة هدى هنا و هدى هنا زى ما تشاهد فيها جالي اودي
+
+332
+00:22:11,060 --> 00:22:13,540
+دى جهود عند النقطة هدى بقول انا بس جاي من الشحنات
+
+333
+00:22:13,540 --> 00:22:18,300
+هدى ولا جاي من هدول كمان جاي من هدول صح ولا لأ اذا
+
+334
+00:22:18,300 --> 00:22:20,880
+انا لما جالي واحدة في رفح و واحدة في غزة جالي لما
+
+335
+00:22:20,880 --> 00:22:24,440
+جيب الجهود هنا انسى هديك مش موجودة بعيدة عنك اذا
+
+336
+00:22:24,440 --> 00:22:27,320
+الجهود هنا بس من هدى و هدى جهود عليكم دكتور طوى
+
+337
+00:22:27,320 --> 00:22:28,400
+طلعت انا وياكم هنا
+
+338
+00:22:31,600 --> 00:22:35,180
+كيك ليو على نص القطر ولا لأ؟ إذا في واحد بيسوي كيك
+
+339
+00:22:35,180 --> 00:22:38,060
+ليو واحد على ار واحد ولا لأ؟ كيك ليو واحد على ار
+
+340
+00:22:38,060 --> 00:22:41,500
+واحد وفي اتنين كيك ليو اتنين على ار اتنين لكن لو
+
+341
+00:22:41,500 --> 00:22:44,520
+كانوا يقولوا أبقى مقدر أكتر بهذا الكلام؟ لأ، مقدر
+
+342
+00:22:44,520 --> 00:22:47,960
+أكتر بهذا الكلام، تمام؟ لإن في سؤال في الـquizzات
+
+343
+00:22:47,960 --> 00:22:52,660
+وفي الكتاب يقول في تتو كورتين زي هيك، واحدة في
+
+344
+00:22:52,660 --> 00:22:55,800
+المركز التاني، هدول كورتين مجوفتين، جاني واحد
+
+345
+00:22:55,800 --> 00:23:01,830
+وصلتهم بالسلك زي هيك، تمام؟هجيتوا؟ اتوصلوا او ما
+
+346
+00:23:01,830 --> 00:23:06,990
+اتوصلوش؟ اذا V1 بيساوي V2 قطعا لكن هل V1 بيساوي KQ
+
+347
+00:23:06,990 --> 00:23:10,790
+1 على R1؟ في مجال جوا نفتامي كبير اذا معناته لانه
+
+348
+00:23:10,790 --> 00:23:15,810
+جوا مع بعض انا اديكم شغلة هجيت هادرو سار كوندكتور
+
+349
+00:23:15,810 --> 00:23:22,590
+و انت في مركز الشحنات؟ اي صدر حين خارجي في شحنات
+
+350
+00:23:22,590 --> 00:23:29,010
+هنا؟ فيش شحنات؟ في شحنات هنا؟ اه كل الشحناتلأن
+
+351
+00:23:29,010 --> 00:23:32,190
+الشحنات في مركز اخر .. يعني قبل هنا فيه شحنات و
+
+352
+00:23:32,190 --> 00:23:33,810
+هنا فيه شحنات و اصلتهم الشحنات اللي هنا بيشردوا
+
+353
+00:23:33,810 --> 00:23:37,110
+بيجوهان على طول هي فيه شحنات و هنا فيه شحنات لكن
+
+354
+00:23:37,110 --> 00:23:41,750
+فيه جهود؟ فيه .. هي بيساوي جود الشحنات عليها كمان
+
+355
+00:23:41,750 --> 00:23:45,190
+شحنات عليها Zero لكن بالرغم من كده المجلس يقول KQ
+
+356
+00:23:45,190 --> 00:23:49,870
+على R قبل ايش؟ بيقول موجود من جامنها لحالها فيها
+
+357
+00:23:49,870 --> 00:23:54,250
+حوالها كمان شحنات فبيساوي الجود اللي هنا بيساوي
+
+358
+00:23:54,250 --> 00:23:58,220
+Zero بالرغم من ان مافيش شحناتفهمتوا عليها يا شباب؟
+
+359
+00:23:58,220 --> 00:24:01,280
+اذا انا لما اقول يبعد عن بعض كتير عشان لما اجيب
+
+360
+00:24:01,280 --> 00:24:05,100
+جودر عند واحدة بس منها والتانية مابتأثرش عليها
+
+361
+00:24:05,100 --> 00:24:12,060
+تمام؟ اذا بعد ما كتبت هذه عشان جاي انه I separated
+
+362
+00:24:12,060 --> 00:24:15,740
+by a distance much longer than the radius of
+
+363
+00:24:15,740 --> 00:24:21,360
+either sphere على طول بقدر اقول ان V1 بيسوي KQ1
+
+364
+00:24:21,360 --> 00:24:27,440
+على R1 و V2 بيسوي KQ2 على R2إذا هذه الخطوة التانية
+
+365
+00:24:27,440 --> 00:24:30,680
+ما كتبتاش إلا لما حكالي انهم بيبعدوا عن بعض كتير
+
+366
+00:24:30,680 --> 00:24:33,880
+صار الجهد على سطح الأولى بساوي الجهد اللى جاي من
+
+367
+00:24:33,880 --> 00:24:36,680
+شحناتها فقط و الجهد على سطح التانية بساوي الجهد
+
+368
+00:24:36,680 --> 00:24:39,540
+اللى جاي من شحناتها فقط و الشحنة التانية مانهجة
+
+369
+00:24:39,540 --> 00:24:44,340
+على الأولى ولا الأولى ع التانية تمام بعد كده خلصنا
+
+370
+00:24:44,340 --> 00:24:48,620
+الحل كيه مع كيه بتشهد ولا لأ كيه مع كيه بتروح صار
+
+371
+00:24:48,620 --> 00:24:53,940
+في عندي التاليهو ايش بده في الأول بده E1 على E2 و
+
+372
+00:24:53,940 --> 00:25:03,240
+من هنا تقدر تقول ان Q1 على Q2 equal Q2R1 على R2
+
+373
+00:25:04,220 --> 00:25:07,600
+فحيك ولا لأ؟ خلاص طلعتها بدي اي واحدة اي اتنين
+
+374
+00:25:07,600 --> 00:25:11,000
+جالي اي واحدة اي اتنين على السطوح وهذا conductor
+
+375
+00:25:11,000 --> 00:25:14,980
+وانا حاكي اي just outside ال conductor بالساوية
+
+376
+00:25:14,980 --> 00:25:19,340
+سجما على اي نوت ولا لأ انا طلعتها بقول that charge
+
+377
+00:25:19,340 --> 00:25:22,460
+are distributed over the surface of the sphere
+
+378
+00:25:22,460 --> 00:25:26,900
+سويها بتجيب سجمة زي شباب بتجيب سجمة بقول سجمة واحد
+
+379
+00:25:26,900 --> 00:25:33,290
+بالساوية q واحد على مساحة الأولوSigma 2 بالساوية
+
+380
+00:25:33,290 --> 00:25:39,050
+Q2 على أربع أباع R2 هذه سيجماز طيب أنا Q1 على Q2
+
+381
+00:25:39,050 --> 00:25:42,350
+بعرفها جالي أجسم Sigma 1 على Sigma 2 طبعا أنا هنا
+
+382
+00:25:42,350 --> 00:25:45,810
+بالخطأ جاني بال capital R اسمه الارة بس هدول هو
+
+383
+00:25:45,810 --> 00:25:50,430
+نفسهم يعني تمام؟ جالي أجسمها هدول هذه الأربع أباعي
+
+384
+00:25:50,430 --> 00:25:55,070
+مع الأربع أباعي طارت وQ1 على Q2 وR2 ترديد على R1
+
+385
+00:25:55,070 --> 00:25:58,850
+هذه Q1 على Q2 بتلاقي قدرة من هنا ولا لأ؟خدها اه
+
+386
+00:25:58,850 --> 00:26:02,790
+حطها شباب حط R واحد مع التربيه مابتضلش واحدة لإنها
+
+387
+00:26:02,790 --> 00:26:06,310
+واحدة و هنا في R تنين مع التربيه مابتضل فبتطلع
+
+388
+00:26:06,310 --> 00:26:11,210
+النتيجة هيك سيجما واحد على سيجما اتنين بيساوي R
+
+389
+00:26:11,210 --> 00:26:15,190
+تنين على R واحد في شغل اه انتوا خدتوه في المدارس
+
+390
+00:26:15,190 --> 00:26:20,770
+وين بتتمركز الشحنات او اقص المدببة برق عليكم انتي
+
+391
+00:26:20,770 --> 00:26:26,200
+شبابع المناطق الحاد ده فبالرؤوس المدببة نص كترها
+
+392
+00:26:26,200 --> 00:26:31,200
+كبير ولا صغير؟ صغير يعني المفروض في الرسمة تبعتنا
+
+393
+00:26:31,200 --> 00:26:35,680
+تروح على نص كترها كبير وع نص كترها صغير على نص
+
+394
+00:26:35,680 --> 00:26:39,400
+كترها صغير يعني على أقل 2 هي Sigma 2 أكبر من Sigma
+
+395
+00:26:39,400 --> 00:26:43,360
+1سيجما اتنين اكبر لأ سيجما واحد اكبر من سيجما
+
+396
+00:26:43,360 --> 00:26:47,940
+اتنين لان انا عندي R واحد صغيرة اظن في الرسمة حسب
+
+397
+00:26:47,940 --> 00:26:50,800
+الرسمة التبادل R واحد صغيرة بالتالي سيجما واحد هي
+
+398
+00:26:50,800 --> 00:26:54,600
+الكبيرة هنا سيجما واحد هي الكبيرة لان R اتنين
+
+399
+00:26:54,600 --> 00:26:59,830
+كبيرة فسيجما واحد اكبرهنا طبعا طلعت نتيجة مجرد شغل
+
+400
+00:26:59,830 --> 00:27:02,970
+رياضيات ومن هنا بنقول it is clear from this result
+
+401
+00:27:02,970 --> 00:27:07,250
+that the charge density is greatest أكبر on the
+
+402
+00:27:07,250 --> 00:27:10,870
+small spheres as expected كيف expected انه تتمركز
+
+403
+00:27:10,870 --> 00:27:15,350
+الشحنات عند المناطق الحادة at sharp points هذه
+
+404
+00:27:15,350 --> 00:27:19,710
+خاصية مشهورة ومعروفة وغيرها أثبتناها انا جيبت ال
+
+405
+00:27:19,710 --> 00:27:23,010
+sigma's وبدوا E's طب خلنا نجيب ال E بقولناها since
+
+406
+00:27:23,010 --> 00:27:25,900
+diameter field on the surface of a conductorهذه
+
+407
+00:27:25,900 --> 00:27:29,060
+المعلومة أخدناها في الشرطة من الماضي أن شدة المجال
+
+408
+00:27:29,060 --> 00:27:32,440
+على conductor بساوية sigma على epsilon note مرت؟
+
+409
+00:27:32,440 --> 00:27:35,240
+اه perpendicular and equal to the sigma على
+
+410
+00:27:35,240 --> 00:27:38,900
+epsilon note طب إذا معناته بقدر أقول E1 على E2
+
+411
+00:27:38,900 --> 00:27:42,920
+بساوية sigma 1 على sigma 2 وراحت epsilon طبعا لان
+
+412
+00:27:42,920 --> 00:27:45,700
+واحدة من التان ابسلون طب sigma 1 على sigma 2 طب و
+
+413
+00:27:45,700 --> 00:27:47,780
+طلعتها معاكم ولا لا؟ طب و طلعناها
+
+414
+00:27:50,960 --> 00:27:53,560
+النتيجة كانت تقول ان المنطقة الكهربائية كانت أكثر
+
+415
+00:27:53,560 --> 00:27:57,440
+قوية خلال المنطقة الصغيرة لماذا أكثر قوية؟ يقول
+
+416
+00:27:57,440 --> 00:28:00,840
+إنك هناك سيغما كبيرة وانا خطوط المجال تتناسب مع
+
+417
+00:28:00,840 --> 00:28:03,680
+الشحنات ولا لأ؟ إذا معناها تكون قوية مش خضية
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e23ec85555c65b9959936d50ab655f68a6d62e4e
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_raw.json
@@ -0,0 +1 @@
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78.31, "end": 78.73, "word": " هذين", "probability": 0.6236165364583334}, {"start": 78.73, "end": 79.21, "word": " الخاصيتين", "probability": 0.9306640625}, {"start": 79.21, "end": 79.87, "word": " سنستخدمهم", "probability": 0.8299967447916666}, {"start": 79.87, "end": 80.31, "word": " الآن", "probability": 0.84375}, {"start": 80.31, "end": 80.91, "word": " عشان", "probability": 0.8179524739583334}, {"start": 80.91, "end": 81.21, "word": " نثبت", "probability": 0.9168701171875}, {"start": 81.21, "end": 81.77, "word": " خاصية", "probability": 0.9646809895833334}, {"start": 81.77, "end": 82.47, "word": " تالتة", "probability": 0.9202880859375}, {"start": 82.47, "end": 83.17, "word": " للكونبكتر", "probability": 0.8880092075892857}], "temperature": 1.0}, {"id": 5, "seek": 10112, "start": 85.92, "end": 101.12, "text": "بحكيلي اخدت انه فرق الجهود بين نقطين Vfinal-Vinitial where final and initial any points any two points equal minus الintegral from initial point to final point E.DL", "tokens": [3555, 5016, 4117, 1829, 20292, 1975, 9778, 3215, 2655, 16472, 3224, 6156, 2288, 4587, 25724, 3224, 23328, 49374, 8717, 47432, 9957, 691, 69, 2071, 12, 53, 259, 270, 831, 689, 2572, 293, 5883, 604, 2793, 604, 732, 2793, 2681, 3175, 2423, 31131, 304, 490, 5883, 935, 281, 2572, 935, 462, 13, 35, 43], "avg_logprob": -0.359085648700043, "compression_ratio": 1.3066666666666666, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 85.92, "end": 86.64, "word": "بحكيلي", "probability": 0.68045654296875}, {"start": 86.64, "end": 87.36, "word": " اخدت", "probability": 0.805419921875}, {"start": 87.36, "end": 87.82, "word": " انه", "probability": 0.69775390625}, {"start": 87.82, "end": 88.18, "word": " فرق", "probability": 0.9794921875}, {"start": 88.18, "end": 88.6, "word": " الجهود", "probability": 0.8094075520833334}, {"start": 88.6, "end": 88.84, "word": " بين", "probability": 0.966796875}, {"start": 88.84, "end": 89.56, "word": " نقطين", "probability": 0.8037109375}, 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بتساوي هذه معناته هذه بتساوي هذه قاللي هدول ايه ال two points خلي ال two points يكونوا inside the conductor يعني انا عندي شباب هاي conductor وهي initial point وهي final point", "tokens": [28814, 15730, 29538, 1958, 1975, 2407, 6024, 110, 995, 2407, 10632, 49374, 462, 4032, 413, 2423, 39184, 4289, 11778, 47341, 3660, 6055, 9566, 1211, 3615, 28239, 31371, 7435, 3660, 1958, 20328, 5016, 49429, 5296, 10721, 22807, 5296, 33456, 11933, 15730, 4289, 11778, 47341, 3660, 1975, 2655, 11242, 3555, 9566, 2423, 18882, 84, 1672, 4724, 40228, 9566, 1829, 8315, 9122, 3794, 995, 32640, 9122, 3794, 995, 32640, 4289, 1958, 11933, 15730, 29538, 28239, 31371, 7435, 3660, 1958, 20449, 8315, 47395, 29538, 39894, 3794, 995, 45865, 29538, 20449, 8315, 47395, 29538, 39894, 3794, 995, 45865, 29538, 50239, 20292, 8032, 3215, 12610, 1975, 1829, 3224, 2423, 732, 2793, 16490, 20292, 2423, 732, 2793, 7251, 30544, 14407, 1854, 264, 29957, 37495, 22653, 1975, 8315, 18871, 16254, 13412, 3555, 16758, 8032, 47302, 29957, 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"probability": 0.904296875}, {"start": 117.25, "end": 117.69, "word": " بتساوي", "probability": 0.8143310546875}, {"start": 117.69, "end": 118.01, "word": " هذه", "probability": 0.93994140625}, {"start": 118.01, "end": 118.91, "word": " معناته", "probability": 0.8779296875}, {"start": 118.91, "end": 119.21, "word": " هذه", "probability": 0.9033203125}, {"start": 119.21, "end": 119.77, "word": " بتساوي", "probability": 0.98046875}, {"start": 119.77, "end": 120.05, "word": " هذه", "probability": 0.96728515625}, {"start": 120.05, "end": 120.73, "word": " قاللي", "probability": 0.3189697265625}, {"start": 120.73, "end": 121.05, "word": " هدول", "probability": 0.8060709635416666}, {"start": 121.05, "end": 121.49, "word": " ايه", "probability": 0.7511393229166666}, {"start": 121.49, "end": 121.49, "word": " ال", "probability": 0.984375}, {"start": 121.49, "end": 121.63, "word": " two", "probability": 0.70361328125}, {"start": 121.63, "end": 122.09, "word": " points", "probability": 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هيك، طول ما انت ماشي بديك المجال هتننى انت ماشي فيها، طول ما انت ماشي بتواجه مجالات، اي مجالات على السطح، طب ايه شغلقة المجال على السطح؟ عمودي على المماس، عمودي على السطح", "tokens": [3555, 16254, 4117, 9673, 7435, 6027, 15844, 21136, 9566, 5016, 49429, 5296, 10721, 22807, 4724, 16254, 4117, 9673, 7435, 6027, 15844, 21136, 9566, 5016, 12399, 5296, 33456, 4117, 16472, 2655, 3714, 33599, 1829, 39896, 4117, 12399, 23032, 12610, 19446, 16472, 2655, 3714, 33599, 1829, 4724, 16254, 4117, 9673, 7435, 6027, 8032, 2655, 1863, 1863, 7578, 16472, 2655, 3714, 33599, 1829, 8978, 11296, 12399, 23032, 12610, 19446, 16472, 2655, 3714, 33599, 1829, 39894, 2407, 26108, 3224, 3714, 7435, 6027, 9307, 12399, 1975, 1829, 3714, 7435, 6027, 9307, 15844, 21136, 9566, 5016, 12399, 23032, 3555, 1975, 1829, 3224, 13412, 17082, 1211, 28671, 9673, 7435, 6027, 15844, 21136, 9566, 5016, 22807, 6225, 2304, 2407, 16254, 15844, 9673, 15042, 3794, 12399, 6225, 2304, 2407, 16254, 15844, 21136, 9566, 5016], "avg_logprob": 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"temperature": 1.0}, {"id": 22, "seek": 49872, "start": 478.66, "end": 498.72, "text": "وهذه او واحد صح ولا لأ ايش تكامل DR على R تربيع سالب واحد على اعصار KQ واحد على small r من صفر لcapital R وطلعت KQ على capital R ثابت ولا لم يتثابت K ثابت Q ثابتة نص قطر", "tokens": [2407, 3224, 24192, 1975, 2407, 36764, 24401, 20328, 5016, 49429, 5296, 10721, 1975, 1829, 8592, 6055, 4117, 10943, 1211, 12118, 15844, 497, 6055, 2288, 21292, 3615, 8608, 6027, 3555, 36764, 24401, 15844, 1975, 3615, 9381, 9640, 591, 48, 36764, 24401, 15844, 1359, 367, 9154, 20328, 5172, 2288, 5296, 9485, 1686, 497, 4032, 9566, 1211, 34268, 591, 48, 15844, 4238, 497, 38637, 16758, 2655, 49429, 32767, 7251, 2655, 12984, 16758, 2655, 591, 38637, 16758, 2655, 1249, 38637, 16758, 2655, 3660, 8717, 9381, 12174, 9566, 2288], "avg_logprob": -0.34227940194747025, "compression_ratio": 1.6047904191616766, "no_speech_prob": 2.5033950805664062e-06, "words": [{"start": 478.66, "end": 479.06, "word": "وهذه", "probability": 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conducting sphere of radius capital R and its charge capital Q. 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المجال على conductor بساوية sigma على epsilon note مرت؟ اه perpendicular and equal to the sigma على epsilon note طب إذا معناته بقدر أقول E1 على E2 بساوية sigma 1 على sigma 2 وراحت epsilon طبعا لان واحدة من التان ابسلون طب sigma 1 على sigma 2 طب و طلعتها معاكم ولا لا؟ طب و طلعناها", "tokens": [3224, 24192, 9673, 30241, 20498, 3660, 5551, 9778, 3215, 8315, 11296, 8978, 25124, 2288, 9566, 3660, 9154, 9673, 46958, 1829, 14739, 13412, 41891, 9673, 7435, 6027, 15844, 29957, 4724, 3794, 995, 2407, 10632, 12771, 15844, 17889, 3637, 3714, 43500, 22807, 1975, 3224, 26734, 293, 2681, 281, 264, 12771, 15844, 17889, 3637, 23032, 3555, 11933, 15730, 20449, 8315, 47395, 4724, 28543, 2288, 5551, 39648, 462, 16, 15844, 462, 17, 4724, 3794, 995, 2407, 10632, 12771, 502, 15844, 12771, 568, 4032, 23557, 33753, 17889, 23032, 3555, 3615, 995, 5296, 7649, 36764, 24401, 3660, 9154, 2423, 2655, 7649, 1975, 3555, 3794, 1211, 11536, 23032, 3555, 12771, 502, 15844, 12771, 568, 23032, 3555, 4032, 23032, 1211, 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1649.06, "word": " المجال", "probability": 0.9816080729166666}, {"start": 1649.06, "end": 1649.3, "word": " على", "probability": 0.77978515625}, {"start": 1649.3, "end": 1649.76, "word": " conductor", "probability": 0.6533203125}, {"start": 1649.76, "end": 1650.28, "word": " بساوية", "probability": 0.506591796875}, {"start": 1650.28, "end": 1650.5, "word": " sigma", "probability": 0.50830078125}, {"start": 1650.5, "end": 1650.66, "word": " على", "probability": 0.65087890625}, {"start": 1650.66, "end": 1650.92, "word": " epsilon", "probability": 0.65771484375}, {"start": 1650.92, "end": 1651.2, "word": " note", "probability": 0.1348876953125}, {"start": 1651.2, "end": 1652.44, "word": " مرت؟", "probability": 0.6080729166666666}, {"start": 1652.44, "end": 1652.84, "word": " اه", "probability": 0.7015380859375}, {"start": 1652.84, "end": 1653.56, "word": " perpendicular", "probability": 0.7998046875}, {"start": 1653.56, "end": 1654.26, "word": " and", "probability": 0.947265625}, {"start": 1654.26, "end": 1654.52, "word": " equal", "probability": 0.74462890625}, {"start": 1654.52, "end": 1654.74, "word": " to", "probability": 0.96533203125}, {"start": 1654.74, "end": 1654.86, "word": " the", "probability": 0.468017578125}, {"start": 1654.86, "end": 1655.1, "word": " sigma", "probability": 0.970703125}, {"start": 1655.1, "end": 1655.24, "word": " على", "probability": 0.87451171875}, {"start": 1655.24, "end": 1655.46, "word": " epsilon", "probability": 0.8017578125}, {"start": 1655.46, "end": 1655.8, "word": " note", "probability": 0.9560546875}, {"start": 1655.8, "end": 1656.3, "word": " طب", "probability": 0.786865234375}, {"start": 1656.3, "end": 1656.5, "word": " إذا", "probability": 0.929931640625}, {"start": 1656.5, "end": 1657.1, "word": " معناته", "probability": 0.9814453125}, {"start": 1657.1, "end": 1657.64, "word": " بقدر", "probability": 0.9422200520833334}, {"start": 1657.64, "end": 1657.86, "word": " أقول", "probability": 0.908935546875}, {"start": 1657.86, "end": 1658.26, "word": " E1", "probability": 0.70166015625}, {"start": 1658.26, "end": 1658.44, "word": " على", "probability": 0.66162109375}, {"start": 1658.44, "end": 1658.9, "word": " E2", "probability": 0.995361328125}, {"start": 1658.9, "end": 1659.18, "word": " بساوية", "probability": 0.93623046875}, {"start": 1659.18, "end": 1659.38, "word": " sigma", "probability": 0.9541015625}, {"start": 1659.38, "end": 1659.56, "word": " 1", "probability": 0.60693359375}, {"start": 1659.56, "end": 1659.66, "word": " على", "probability": 0.6865234375}, {"start": 1659.66, "end": 1659.84, "word": " sigma", "probability": 0.97216796875}, {"start": 1659.84, "end": 1660.12, "word": " 2", "probability": 0.9580078125}, {"start": 1660.12, "end": 1660.7, "word": " وراحت", "probability": 0.5005696614583334}, {"start": 1660.7, "end": 1661.02, "word": " epsilon", "probability": 0.63525390625}, {"start": 1661.02, "end": 1662.64, "word": " طبعا", "probability": 0.61834716796875}, {"start": 1662.64, "end": 1662.92, "word": " لان", "probability": 0.5819091796875}, {"start": 1662.92, "end": 1663.14, "word": " واحدة", "probability": 0.5484212239583334}, {"start": 1663.14, "end": 1663.22, "word": " من", "probability": 0.888671875}, {"start": 1663.22, "end": 1663.38, "word": " التان", "probability": 0.4758707682291667}, {"start": 1663.38, "end": 1663.8, "word": " ابسلون", "probability": 0.759912109375}, {"start": 1663.8, "end": 1664.62, "word": " طب", "probability": 0.6815185546875}, {"start": 1664.62, "end": 1664.82, "word": " sigma", "probability": 0.9345703125}, {"start": 1664.82, "end": 1665.06, "word": " 1", "probability": 0.8583984375}, {"start": 1665.06, "end": 1665.12, "word": " على", "probability": 0.763671875}, {"start": 1665.12, "end": 1665.3, "word": " sigma", "probability": 0.98486328125}, {"start": 1665.3, "end": 1665.5, "word": " 2", "probability": 0.9375}, {"start": 1665.5, "end": 1665.66, "word": " طب", "probability": 0.798828125}, {"start": 1665.66, "end": 1665.7, "word": " و", "probability": 0.53369140625}, {"start": 1665.7, "end": 1666.02, "word": " طلعتها", "probability": 0.75543212890625}, {"start": 1666.02, "end": 1666.32, "word": " معاكم", "probability": 0.6886393229166666}, {"start": 1666.32, "end": 1666.48, "word": " ولا", "probability": 0.82470703125}, {"start": 1666.48, "end": 1667.06, "word": " لا؟", "probability": 0.7216796875}, {"start": 1667.06, "end": 1667.26, "word": " طب", "probability": 0.968017578125}, {"start": 1667.26, "end": 1667.32, "word": " و", "probability": 0.982421875}, {"start": 1667.32, "end": 1667.78, "word": " طلعناها", "probability": 0.9068359375}], "temperature": 1.0}, {"id": 74, "seek": 168368, "start": 1670.96, "end": 1683.68, "text": "النتيجة كانت تقول ان المنطقة الكهربائية كانت أكثر قوية خلال المنطقة الصغيرة لماذا أكثر قوية؟ يقول إنك هناك سيغما كبيرة وانا خطوط المجال تتناسب مع الشحنات ولا لأ؟ إذا معناها تكون قوية مش خضية", "tokens": [6027, 1863, 31371, 7435, 3660, 25961, 2655, 6055, 39648, 16472, 9673, 1863, 9566, 28671, 33251, 3224, 25513, 16373, 10632, 25961, 2655, 5551, 4117, 49115, 12174, 2407, 10632, 16490, 1211, 6027, 9673, 1863, 9566, 28671, 31767, 17082, 48923, 32767, 45636, 995, 5551, 4117, 49115, 12174, 2407, 10632, 22807, 7251, 39648, 36145, 4117, 34105, 4117, 8608, 1829, 17082, 15042, 9122, 3555, 48923, 4032, 7649, 995, 16490, 9566, 2407, 9566, 9673, 7435, 6027, 6055, 2655, 8315, 35457, 20449, 25124, 5016, 8315, 2655, 49429, 5296, 10721, 22807, 11933, 15730, 20449, 8315, 11296, 6055, 30544, 12174, 2407, 10632, 37893, 16490, 11242, 10632], "avg_logprob": -0.5969387815923107, "compression_ratio": 1.8961748633879782, "no_speech_prob": 2.7418136596679688e-06, "words": [{"start": 1670.96, "end": 1671.7, "word": "النتيجة", "probability": 0.6105712890625}, {"start": 1671.7, "end": 1672.18, "word": " كانت", "probability": 0.5963134765625}, {"start": 1672.18, "end": 1672.28, "word": " تقول", "probability": 0.198089599609375}, {"start": 1672.28, "end": 1672.32, "word": " ان", "probability": 0.54541015625}, {"start": 1672.32, "end": 1672.42, "word": " المنطقة", "probability": 0.451995849609375}, {"start": 1672.42, "end": 1673.02, "word": " الكهربائية", "probability": 0.6998779296875}, {"start": 1673.02, "end": 1673.42, "word": " كانت", "probability": 0.555633544921875}, {"start": 1673.42, "end": 1673.56, "word": " أكثر", "probability": 0.6067708333333334}, {"start": 1673.56, "end": 1674.12, "word": " قوية", "probability": 0.49755859375}, {"start": 1674.12, "end": 1674.86, "word": " خلال", "probability": 0.5297037760416666}, {"start": 1674.86, "end": 1675.1, "word": " المنطقة", "probability": 0.610626220703125}, {"start": 1675.1, "end": 1675.48, "word": " الصغيرة", "probability": 0.6668294270833334}, {"start": 1675.48, "end": 1676.6, "word": " لماذا", "probability": 0.6909586588541666}, {"start": 1676.6, "end": 1676.78, "word": " أكثر", "probability": 0.6905924479166666}, {"start": 1676.78, "end": 1677.24, "word": " قوية؟", "probability": 0.82562255859375}, {"start": 1677.24, "end": 1677.44, "word": " يقول", "probability": 0.5191650390625}, {"start": 1677.44, "end": 1677.9, "word": " إنك", "probability": 0.3409423828125}, {"start": 1677.9, "end": 1678.28, "word": " هناك", "probability": 0.7154541015625}, {"start": 1678.28, "end": 1678.6, "word": " سيغما", "probability": 0.449249267578125}, {"start": 1678.6, "end": 1679.1, "word": " كبيرة", "probability": 0.8634440104166666}, {"start": 1679.1, "end": 1679.68, "word": " وانا", "probability": 0.4146728515625}, {"start": 1679.68, "end": 1679.96, "word": " خطوط", "probability": 0.96533203125}, {"start": 1679.96, "end": 1680.26, "word": " المجال", "probability": 0.9308268229166666}, {"start": 1680.26, "end": 1680.68, "word": " تتناسب", "probability": 0.800537109375}, {"start": 1680.68, "end": 1680.84, "word": " مع", "probability": 0.970703125}, {"start": 1680.84, "end": 1681.22, "word": " الشحنات", "probability": 0.9400634765625}, {"start": 1681.22, "end": 1681.34, "word": " ولا", "probability": 0.587890625}, {"start": 1681.34, "end": 1681.98, "word": " لأ؟", "probability": 0.654541015625}, {"start": 1681.98, "end": 1682.12, "word": " إذا", "probability": 0.710205078125}, {"start": 1682.12, "end": 1682.48, "word": " معناها", "probability": 0.606689453125}, {"start": 1682.48, "end": 1682.74, "word": " تكون", "probability": 0.888671875}, {"start": 1682.74, "end": 1682.98, "word": " قوية", "probability": 0.8929036458333334}, {"start": 1682.98, "end": 1683.22, "word": " مش", "probability": 0.560546875}, {"start": 1683.22, "end": 1683.68, "word": " خضية", "probability": 0.7369791666666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1687.4405, "duration_after_vad": 1645.5834687499976}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..36dd0b7fdb40a5b181a7178c36f1ca1d6f3291f3
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/AfK_NpRQ0Jk_raw.srt
@@ -0,0 +1,1672 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:11,980 --> 00:00:17,160
+بسم الله الرحمن الرحيم نعيد اخر حاجة وصلنا اليها
+
+3
+00:00:17,160 --> 00:00:21,460
+اللي هي electric potential and conductors حكينا
+
+4
+00:00:21,460 --> 00:00:26,900
+عنها لكن نعيدها بسرعة اتفقنا على ان ال conductors
+
+5
+00:00:26,900 --> 00:00:31,560
+in electrostatic equilibrium have some properties
+
+6
+00:00:31,560 --> 00:00:37,820
+نعيدها و نضيف عليها خاصية اخرى او خواص اخرىفي
+
+7
+00:00:37,820 --> 00:00:42,060
+الحلقة السابقة، قمنا بمعرفة بعض الواقعات لشركة
+
+8
+00:00:42,060 --> 00:00:48,160
+قنون جاوس بمساعدة قانون جاوس بإستخدام قانون جاوس
+
+9
+00:00:48,160 --> 00:00:55,690
+بإستخدام قانون جاوس بإستخدام قانون جاوسهذه خاصية
+
+10
+00:00:55,690 --> 00:00:59,550
+نابعة من ان الارصان اللي داخل أي كونبكتر هو 0
+
+11
+00:00:59,550 --> 00:01:05,150
+وبالتالي لا يوجد مجال اللي داخل أي كونبكتر الخاصية
+
+12
+00:01:05,150 --> 00:01:08,890
+الأخرى اللي أثبتناها سابقة ان الارصان اللي داخل أو
+
+13
+00:01:08,890 --> 00:01:13,270
+خارج كونبكتر أو على محطة كونبكتر يجب أن يكون مرتبط
+
+14
+00:01:13,270 --> 00:01:17,650
+بالمحطة ويقل إلى سيجما على إبسلون نوت هذه خاصية
+
+15
+00:01:17,650 --> 00:01:21,770
+أخرى هذين الخاصيتين سنستخدمهم الآن عشان نثبت خاصية
+
+16
+00:01:21,770 --> 00:01:23,170
+تالتة للكونبكتر
+
+17
+00:01:25,920 --> 00:01:30,740
+بحكيلي اخدت انه فرق الجهود بين نقطين Vfinal
+
+18
+00:01:30,740 --> 00:01:34,740
+-Vinitial where final and initial any points any
+
+19
+00:01:34,740 --> 00:01:39,280
+two points equal minus الintegral from initial
+
+20
+00:01:39,280 --> 00:01:46,110
+point to final point E.DLإذا هذه 0 او الزاوية بين
+
+21
+00:01:46,110 --> 00:01:50,750
+E و D الـ 90 درجة تطلع النتيجة 0 صح ولا لأ؟ لأن
+
+22
+00:01:50,750 --> 00:01:53,550
+إذا 90 درجة اتضبط الconductor بيعطينا كسايم كسايم
+
+23
+00:01:53,550 --> 00:01:58,010
+90 0 إذا هذه النتيجة 0 معناته هذه بتساوي هذه
+
+24
+00:01:58,010 --> 00:02:02,090
+معناته هذه بتساوي هذه قاللي هدول ايه ال two points
+
+25
+00:02:02,090 --> 00:02:06,550
+خلي ال two points يكونوا inside the conductor يعني
+
+26
+00:02:06,550 --> 00:02:10,890
+انا عندي شباب هاي conductor وهي initial point وهي
+
+27
+00:02:10,890 --> 00:02:16,910
+final pointحاجات هو انا ماشي من initial ل final من
+
+28
+00:02:16,910 --> 00:02:21,110
+initial ل final بدي اجمع المجال اي مجال بدي اجمعه
+
+29
+00:02:21,110 --> 00:02:24,570
+من initial ل final مش انا بدي اجمعه كامل يعني
+
+30
+00:02:24,570 --> 00:02:27,730
+اجمعه لما ماشي من initial ل final انا ماشي ال E
+
+31
+00:02:27,730 --> 00:02:32,490
+inside و E inside جديش؟ Zero إذا كان ال contain
+
+32
+00:02:32,490 --> 00:02:38,410
+inside بيكون E zero إذن هذه Zero معناته هذه بتساوي
+
+33
+00:02:38,410 --> 00:02:42,270
+هذه يعني الجهود داخل أي conductor بيساوي constant
+
+34
+00:02:43,010 --> 00:02:45,950
+لأن هذي الـinitial و الـfinal point اي two points
+
+35
+00:02:45,950 --> 00:02:49,050
+inside a conductor اي two points inside a
+
+36
+00:02:49,050 --> 00:02:53,230
+conductor اذا الـV initial equal V final هذا يعني
+
+37
+00:02:53,230 --> 00:02:58,550
+جهود داخل اي conductor لازم يسوي ثابت صح ولا لأ؟
+
+38
+00:02:58,550 --> 00:03:03,670
+فهذه الـfinal خليها هنا على السطح بالظبط نفس الشيء
+
+39
+00:03:03,670 --> 00:03:06,110
+انت بتبدأ من الـinitial و تصل لـfinal و طول ما انت
+
+40
+00:03:06,110 --> 00:03:10,610
+ماشي بدك E inside و E in the dishبتساوي zero إذا
+
+41
+00:03:10,610 --> 00:03:13,590
+برضه الجهود عند أي نقطة inside بتساوي الجهود على
+
+42
+00:03:13,590 --> 00:03:18,050
+السطح صح ولا لأ الشيء التالت اللي حكاليها لو كانت
+
+43
+00:03:18,050 --> 00:03:20,990
+ال initial point و ال final point على السطح هاي
+
+44
+00:03:20,990 --> 00:03:24,410
+initial و هاي final قاللي انت ماشي هيك طبعا و انا
+
+45
+00:03:24,410 --> 00:03:28,270
+ماشي هيك بكون ماشي مماس و لا مش ماشي مماس ماشي
+
+46
+00:03:28,270 --> 00:03:32,580
+مماس طب و انت ماشي اي جهود اي مجال اللي بدكبديك
+
+47
+00:03:32,580 --> 00:03:36,160
+المجال على السطح ولا لأ؟ بديك المجال على السطح،
+
+48
+00:03:36,160 --> 00:03:38,560
+لأنك انت ماشي هيك، طول ما انت ماشي بديك المجال
+
+49
+00:03:38,560 --> 00:03:40,800
+هتننى انت ماشي فيها، طول ما انت ماشي بتواجه
+
+50
+00:03:40,800 --> 00:03:44,100
+مجالات، اي مجالات على السطح، طب ايه شغلقة المجال
+
+51
+00:03:44,100 --> 00:03:47,850
+على السطح؟ عمودي على المماس، عمودي على السطحوما
+
+52
+00:03:47,850 --> 00:03:52,310
+زال عمودي والدبط ببقى نوجودة بتديني zero اذا برضه
+
+53
+00:03:52,310 --> 00:03:56,650
+شغلتك ان الجهود هنا بيسوي الجهود هنا صح ولا لأ؟
+
+54
+00:03:56,650 --> 00:04:00,970
+اذا الصرف يعندي الجهود جوا بيسوي ثابت الجوا وع
+
+55
+00:04:00,970 --> 00:04:04,570
+السطح بيسوي بعض التنتين ع السطح بيسوي ثابت اذا
+
+56
+00:04:04,570 --> 00:04:07,450
+الجهود ع السطح ثابت الجهود جوا بيسوي ثابت الجهود
+
+57
+00:04:07,450 --> 00:04:12,770
+جوا بيسوي جهود ع السطح برا خالص بيبقوا zero بيبقوا
+
+58
+00:04:12,770 --> 00:04:16,460
+zero بس عند القيمة اذا الجهود مابيسويش اللي برافي
+
+59
+00:04:16,460 --> 00:04:19,840
+قيمة تمام اما على السطح هنا just outside بالظبط
+
+60
+00:04:19,840 --> 00:04:23,340
+بيبقى على السطح اما بعيد او لا بيبقى ال zero بس
+
+61
+00:04:23,340 --> 00:04:26,900
+انت مدكي المجال اللي جانه ولا المجال اللي برا هنا
+
+62
+00:04:26,900 --> 00:04:32,080
+المجامي طبعا لما تكون جوا برا ثابت هنا zeroبنفس
+
+63
+00:04:32,080 --> 00:04:35,380
+التكامل برا وجوا و جوا سفر و برا يلو قيمة بتعملها
+
+64
+00:04:35,380 --> 00:04:39,960
+تمام بيقول ليه if the initial and the final points
+
+65
+00:04:39,960 --> 00:04:44,060
+lie inside a convector إذا كانوا نقطين جوا and
+
+66
+00:04:44,060 --> 00:04:47,260
+using the first property اللي بتقول إن إي إي إي
+
+67
+00:04:47,260 --> 00:04:50,280
+inside equal to zero we conclude that the electric
+
+68
+00:04:50,280 --> 00:04:54,160
+potential is constant لإن هادي بتسوي هادي ما زال
+
+69
+00:04:54,160 --> 00:04:56,620
+هادي سفر يعني هادي بتسوي هادي إذا ال electric
+
+70
+00:04:56,620 --> 00:05:01,010
+potential is constantinside the conductor طيب
+
+71
+00:05:01,010 --> 00:05:06,010
+بقولي furthermore لو كانت النقطين على السطح since
+
+72
+00:05:06,010 --> 00:05:10,410
+E is always normal to DL يعني normal to the
+
+73
+00:05:10,410 --> 00:05:13,790
+surface هي معناه normal to DL هذه خاصية هي ده
+
+74
+00:05:13,790 --> 00:05:17,350
+electric field on the surface of the conductor is
+
+75
+00:05:17,350 --> 00:05:20,430
+perpendicular to the surface يعني normal to DL هنا
+
+76
+00:05:21,570 --> 00:05:25,630
+الإلكترونية أيضًا مستمرة على محطة الهواتف.من هذه
+
+77
+00:05:25,630 --> 00:05:30,670
+الخاصية، يوجد أيضًا قيمة مهمة للهواتف التي تتبعها
+
+78
+00:05:30,670 --> 00:05:38,170
+.الإلكترونية داخل الهواتف في ايقاليبريام مستمرة
+
+79
+00:05:38,170 --> 00:05:42,390
+وايها قيمة تساوي قيمة جهدها الصفحة.يعني ثابت الوطن
+
+80
+00:05:42,390 --> 00:05:45,170
+اللي ما جدش كومتها كانت تساوي الجودة على السطح و
+
+81
+00:05:45,170 --> 00:05:48,970
+أثبتناها ان لو كانت initial point inside and final
+
+82
+00:05:48,970 --> 00:05:52,770
+point on the surface the two potentials must be
+
+83
+00:05:52,770 --> 00:05:57,560
+equal و هذه الخاصية بتكون صحيحةبقول ليه؟ طب لو
+
+84
+00:05:57,560 --> 00:06:00,660
+إجيت بدي أثبتها بالتفصيل، بدي أجيب الجهد جوا
+
+85
+00:06:00,660 --> 00:06:03,320
+كوندكتور، هل بيسوي الجهد على السطح؟ جالي كده بدي
+
+86
+00:06:03,320 --> 00:06:05,860
+أعمل، بدي أعمل زي ما عملت في الأول، كده بدي أجيب
+
+87
+00:06:05,860 --> 00:06:08,640
+الجهد، بدي أجيب التكامل، من مالة نهاية لنقطة، جالي
+
+88
+00:06:08,640 --> 00:06:12,740
+ها نقطة، بدي أجيب الجهد هنا، مش هذي inside شلال،
+
+89
+00:06:12,740 --> 00:06:15,720
+هذي ال center، و هذي مسافة R، و هذي مسافة capital
+
+90
+00:06:15,720 --> 00:06:21,160
+Rأنا الآن مطلوب مني أن أجيب الجودة عند النقطة P
+
+91
+00:06:21,160 --> 00:06:24,640
+هتبقى inside ولا مش inside حسب الخاصية بتقول
+
+92
+00:06:24,640 --> 00:06:28,220
+الجودة inside must be constant and equal to the
+
+93
+00:06:28,220 --> 00:06:31,640
+potential on the surface هيك الخاصية بتقول جاي انا
+
+94
+00:06:31,640 --> 00:06:34,780
+هذه الخاصية بعرفهاش يعني هلأ نثبتها بقول V عند
+
+95
+00:06:34,780 --> 00:06:37,660
+النقطة P بالساوى سالي بالتكامل من المنة النهائية
+
+96
+00:06:37,660 --> 00:06:45,080
+للنقطة P اللي هي R E dot DLصح انا انا شباب انا بدي
+
+97
+00:06:45,080 --> 00:06:49,840
+اقول ايه؟ بون ببدأ انا المال النهائي برا ولا جوا؟
+
+98
+00:06:49,840 --> 00:06:54,260
+برا يعني ايه اللي برا بدي اياها؟ طب وين بخلص؟ جوا
+
+99
+00:06:54,260 --> 00:06:57,460
+برضه ايه اللي جوا بدي اياها؟ اش اسوي ارجع ناخد
+
+100
+00:06:57,460 --> 00:07:01,260
+شمام و بطيخ بنفعج معاهم مع بعض اللي برا بدي اياها
+
+101
+00:07:01,260 --> 00:07:03,140
+اللي جوا بدي اياها؟ يجب ان تخلي اللي برا برا و
+
+102
+00:07:03,140 --> 00:07:06,640
+اللي جوا جوا بقول اللي برا من المال النهائي ل
+
+103
+00:07:06,640 --> 00:07:09,480
+capital R هتبدأ في المال النهائي و بنتح عند
+
+104
+00:07:09,480 --> 00:07:17,690
+capital R في جوا هنا؟لأ هنا اذا انا اي E بدك ايه
+
+105
+00:07:17,690 --> 00:07:21,130
+دول عندك من capital R ل small r من capital R ل
+
+106
+00:07:21,130 --> 00:07:28,610
+small r جوه او مجوه جوه en dot dl دي ديش هذي سفر
+
+107
+00:07:28,610 --> 00:07:32,930
+since it is a conductor conductor اذا E بتسوي zero
+
+108
+00:07:32,930 --> 00:07:35,990
+جالي هذي بتعرفها ويقولوا اه بعرفها هذي E outside
+
+109
+00:07:35,990 --> 00:07:41,560
+أخدناها وطبقناها وبتسوي ع هيك قانونهاصح ولا لأ؟
+
+110
+00:07:41,560 --> 00:07:44,460
+طيب كي و كي و طلعهم برا التكامل ولا ماطلعهم ايش؟
+
+111
+00:07:44,460 --> 00:07:48,580
+طلعهم ايش بيطلع انك؟ DR وDL ضد الـDR هنا طبعا TR
+
+112
+00:07:48,580 --> 00:07:55,300
+unit vector بيصير DR بيصير سالب KQ تكامل DR على R
+
+113
+00:07:55,300 --> 00:08:00,280
+تربية من منا نهاية لcapital Rوهذه او واحد صح ولا
+
+114
+00:08:00,280 --> 00:08:05,820
+لأ ايش تكامل DR على R تربيع سالب واحد على اعصار KQ
+
+115
+00:08:05,820 --> 00:08:11,380
+واحد على small r من صفر لcapital R وطلعت KQ على
+
+116
+00:08:11,380 --> 00:08:18,720
+capital R ثابت ولا لم يتثابت K ثابت Q ثابتة نص قطر
+
+117
+00:08:19,550 --> 00:08:22,190
+فتجعلت النتيجة ثابت طب لو احد اللي اوجد جهد على
+
+118
+00:08:22,190 --> 00:08:25,990
+السطح جبته انا وياكم بسوى KQ على كبتل R ولا لأ اذا
+
+119
+00:08:25,990 --> 00:08:29,310
+الجهد داخل اي conductor بسوى مقدار ثابت ويسوى
+
+120
+00:08:29,310 --> 00:08:34,650
+الجهد على السطحصح مافيش أي مشكلة في هذه القضية
+
+121
+00:08:34,650 --> 00:08:37,970
+بيقول لي to prove this property explicitly
+
+122
+00:08:37,970 --> 00:08:41,150
+بالتفصيل let us consider a conducting sphere of
+
+123
+00:08:41,150 --> 00:08:44,090
+radius capital R and its charge capital Q. The
+
+124
+00:08:44,090 --> 00:08:46,850
+electric potential at about inside the sphere هيقل
+
+125
+00:08:46,850 --> 00:08:50,930
+من جسم التكامل المضطر. عشان E out لا تسوى E in
+
+126
+00:08:50,930 --> 00:08:57,610
+تمامالان EM بالثانية صفر التكامل كان روح و هي او ت
+
+127
+00:08:57,610 --> 00:09:01,770
+وهي لما اتعملتها طلعت دي بالثورة هذه وهذه هي نفس
+
+128
+00:09:01,770 --> 00:09:04,190
+الجهود العصرية which is the value of the potential
+
+129
+00:09:04,190 --> 00:09:07,450
+at the surface of the conductor وبالتالي صار في
+
+130
+00:09:07,450 --> 00:09:11,830
+عندي انا الآن شباب اتفقت ان المجال جوا ال
+
+131
+00:09:11,830 --> 00:09:18,690
+conductor zero لكن الجهود zero لأ ثابت الان الجهود
+
+132
+00:09:18,690 --> 00:09:22,820
+عندي ال centerبقدر يقول عنه سفر؟ لأ مش السنطة دي
+
+133
+00:09:22,820 --> 00:09:25,640
+جوا إذا انتظرت و بيسافر الجهود على السطح ولا لأ
+
+134
+00:09:25,640 --> 00:09:30,240
+يعني هنا ولا هنا ولا هنا ولا هنا جهود واحد ولا لأ
+
+135
+00:09:30,240 --> 00:09:34,520
+بيجهود واحد بعد كده بقى الجهود صار برا بيبدأ يروح
+
+136
+00:09:34,520 --> 00:09:37,740
+عندما النهاية تتوقع بإيش الجهود يسافر سفر زي ما
+
+137
+00:09:37,740 --> 00:09:41,020
+اتوقعينها فهذه رسمة بتفرج الجهود هذا الخط الأزرق
+
+138
+00:09:41,020 --> 00:09:46,010
+شايفينه بتفرج رسمة الجهودas a function of small r
+
+139
+00:09:46,010 --> 00:09:50,030
+و الـ r بتغير طول ما هو جوا عندي مقدار واقع للجود
+
+140
+00:09:50,030 --> 00:09:53,670
+بعدين بتلاشى لما النهاية بيصير سفر هذه مش خبيرة
+
+141
+00:09:53,670 --> 00:09:57,490
+بيقولي the figure shows the variation of v as a
+
+142
+00:09:57,490 --> 00:10:00,270
+function of the radial distance small r for a
+
+143
+00:10:00,270 --> 00:10:02,570
+conducting sphere of radius capital R طبعا احنا
+
+144
+00:10:02,570 --> 00:10:08,500
+بنحكي أقدام كتير تماموحكينا بعد كده ما زالش جهد
+
+145
+00:10:08,500 --> 00:10:12,320
+على السطح بيسوي ثابت لو كان عندي two conductor صار
+
+146
+00:10:12,320 --> 00:10:16,720
+conductor واحد توصلوا إذا لازم جهدهم يتساوى لازم
+
+147
+00:10:16,720 --> 00:10:20,380
+جهدهم يتساوى لأنه صار conductor واحد بيقولي if two
+
+148
+00:10:20,380 --> 00:10:23,480
+or more conducting objects are connected by a
+
+149
+00:10:23,480 --> 00:10:26,820
+conducting wire the conductors are no longer
+
+150
+00:10:26,820 --> 00:10:32,260
+separatedbut can be considered as a single
+
+151
+00:10:32,260 --> 00:10:38,120
+conductor اي نقطة على هذه النقطة لازم تكون جودها
+
+152
+00:10:38,120 --> 00:10:42,040
+بيكون ثابت و بيساوي الجودة على اي نقطة اخرى يعني
+
+153
+00:10:42,040 --> 00:10:45,300
+ايش بيقولي this means that the electric charges
+
+154
+00:10:45,300 --> 00:10:48,840
+will transfer from the conductor of higher
+
+155
+00:10:48,840 --> 00:10:52,080
+potential to that of lower potential until
+
+156
+00:10:52,080 --> 00:10:55,100
+equilibrium condition is achieved طبعا لما تنتقل
+
+157
+00:10:55,100 --> 00:10:58,560
+الشحنات شباب تقريبا ساعة ولا ساعتين ولا حتى جيجا
+
+158
+00:10:58,560 --> 00:11:01,560
+جزء من ثانيةعلى طول بتنقل الشحنات وبصير في استقرار
+
+159
+00:11:01,560 --> 00:11:06,160
+وخلاص وقتش بتتساقر الشحنات لما تتساوى الجهود
+
+160
+00:11:06,160 --> 00:11:08,960
+تتساوى الجهود بقى تبقى في حركة خلاص وهذه عملية
+
+161
+00:11:08,960 --> 00:11:12,400
+بتستغرق ملي ساكنس ملي ساكنس على طول بتنتقل الشحنات
+
+162
+00:11:12,400 --> 00:11:15,260
+مرة واحدة زي الواحد لما يجيب الله بتعرفوا انتوا
+
+163
+00:11:15,260 --> 00:11:18,520
+فكرة الأوان المستطرقة اللي بيسموها بتعرفوها ما
+
+164
+00:11:18,520 --> 00:11:22,440
+بتعرفوهاش انا أخدناها في تلتة ابتدائي أيامنا شوفوا
+
+165
+00:11:22,440 --> 00:11:30,580
+التلتة ابتدائي لو جيبت برميل اتشوتتمام؟ واحد يشوف
+
+166
+00:11:30,580 --> 00:11:33,220
+يجيب تلمس صورة فتحت البرميل على ال t-shirt، إيش
+
+167
+00:11:33,220 --> 00:11:37,500
+بده يصير؟ تتخلى الميه من البرميل ال t-shirt، إذا
+
+168
+00:11:37,500 --> 00:11:41,040
+البرميل كتير عالي، بتطفو ال t-shirt، صح ولا؟ لما
+
+169
+00:11:41,040 --> 00:11:45,660
+يصير مستوى الميه نفس المستوى، نفس المستوى يعني نفس
+
+170
+00:11:45,660 --> 00:11:49,400
+الجهودنفس الجهود تبتقى من الميه من الأعلى إلى
+
+171
+00:11:49,400 --> 00:11:54,740
+الأوطى حتى لو كان نفترض ان انت عندك برميل خليني
+
+172
+00:11:54,740 --> 00:12:00,040
+بلاش برميل لو كانت عندك مثلا خليني أقول أمبوبة
+
+173
+00:12:00,040 --> 00:12:05,010
+طويلة فيها ميه ويجيب تشط كبيرتمام؟ بتضلها تنزل
+
+174
+00:12:05,010 --> 00:12:07,410
+المي لما الارتفاع يصير زي بعض، بتضلها حتى لو كانت
+
+175
+00:12:07,410 --> 00:12:10,190
+قليلة على ال .. المهم الارتفاع فالارتفاع ايه؟ لما
+
+176
+00:12:10,190 --> 00:12:12,970
+يتساوي بتنطق و تنتقل المي و الارتفاع يعني معناته
+
+177
+00:12:12,970 --> 00:12:15,650
+الجود هنا في هذه العالم طبعا هناك اللي بيقعد فيها
+
+178
+00:12:15,650 --> 00:12:19,090
+دور potential energy فكلمة potential إلها دعوة لإن
+
+179
+00:12:19,090 --> 00:12:21,450
+احنا جيبنا كلمة potential هنا أصلا من potential
+
+180
+00:12:21,450 --> 00:12:25,290
+energy هنا كهربا هناك جاذبية و إلها دعوة في هذه
+
+181
+00:12:25,290 --> 00:12:30,660
+القضايا تمام؟بالتالي اذا اتجهت او اتجهت او اتجهت
+
+182
+00:12:30,660 --> 00:12:32,380
+او اتجهت او اتجهت او اتجهت او اتجهت او اتجهت او
+
+183
+00:12:32,380 --> 00:12:35,800
+اتجهت او اتجهت او اتجهت او اتجهت او اتجهت او اتجهت
+
+184
+00:12:35,800 --> 00:12:36,040
+او اتجهت او اتجهت او اتجهت او اتجهت او اتجهت او
+
+185
+00:12:36,040 --> 00:12:36,040
+اتجهت او اتجهت او اتجهت او اتجهت او اتجهت او اتجهت
+
+186
+00:12:36,040 --> 00:12:42,920
+او اتجهت او اتجهت او اتجهت او اتجهت او
+
+187
+00:12:42,920 --> 00:12:52,440
+اتجهت او اتجهت او
+
+188
+00:12:52,670 --> 00:12:55,770
+قال بدل ما تجيسي المجال، جيسي الجهود، ما هو ياهية،
+
+189
+00:12:55,770 --> 00:12:58,970
+الجهود أحسن لك لما تتعامل مع scholars، عشان كده
+
+190
+00:12:58,970 --> 00:13:02,270
+الدين هو وحدة لحاله، مع أن المجال ليس وحدة لحاله،
+
+191
+00:13:02,270 --> 00:13:06,510
+و هو أصل الجهود من المجال، صح ولا لأ؟ فقال، فابنت
+
+192
+00:13:06,510 --> 00:13:10,710
+المجال اتعرفت عليه، وصرت ترصب بخطوط مجال،فبالجهود
+
+193
+00:13:10,710 --> 00:13:14,910
+اللى بده يبدل المجال ويستبدل المجال كيف بدي ألصمه؟
+
+194
+00:13:14,910 --> 00:13:18,390
+ده نفس العملية بدي ألصمه بأسطح بس المرة هذه مش
+
+195
+00:13:18,390 --> 00:13:21,190
+بخطوط مجالي بأسطح هذه الأسطح هسموها equal
+
+196
+00:13:21,190 --> 00:13:25,590
+potential surfaces كمان مرة equal potential equal
+
+197
+00:13:25,590 --> 00:13:28,770
+معناته equal وpotential معناته الجهود هو السطح
+
+198
+00:13:28,770 --> 00:13:34,270
+اللى جهوده متساوية بسميه equal potential surfaceزي
+
+199
+00:13:34,270 --> 00:13:37,970
+في مفّخ و زي .. خلّيني أقول الـ conductor فيه أي
+
+200
+00:13:37,970 --> 00:13:42,130
+نقطين على ال conductor جهدهم الثابت؟ فيه؟ بقدر
+
+201
+00:13:42,130 --> 00:13:46,070
+أقول ال conductor is an equipotential surface؟ أه،
+
+202
+00:13:46,070 --> 00:13:53,020
+أه، فيه جهد واحدبيقولي a surface with all its
+
+203
+00:13:53,020 --> 00:13:56,400
+points are at the same electric potential is
+
+204
+00:13:56,400 --> 00:13:59,580
+called equipotential surface واضح من الاسم احنا
+
+205
+00:13:59,580 --> 00:14:03,160
+بيقولنا كل مسمى من اسمه نصيب وفي التعريفات كل مسمى
+
+206
+00:14:03,160 --> 00:14:07,960
+من اسمه كل نصيبلأن كله لازم يكون الاسم ايه اصلا
+
+207
+00:14:07,960 --> 00:14:11,760
+انا جيت اسم الصفة غير لو حينما اجيب والد صغير
+
+208
+00:14:11,760 --> 00:14:14,480
+بسميه كريم الله يعني لما يطلع كريم لما يطلع بقيت
+
+209
+00:14:14,480 --> 00:14:18,060
+بقول اخي بسميه كريم و هو حق لكن بقول انه لكل اسمه
+
+210
+00:14:18,060 --> 00:14:21,480
+مسمى من اسمه نصيب بتطلع بعيد شанс انه الله سموه
+
+211
+00:14:21,480 --> 00:14:24,220
+كريم طلع كريم تمام بس هنا انا سميته و انا عارف
+
+212
+00:14:24,220 --> 00:14:28,540
+صفته صح ولا لأ فالتسمية يتلاحقا وبالتالي لكل مسمى
+
+213
+00:14:28,540 --> 00:14:30,980
+من التعريف كل نصيب تمام
+
+214
+00:14:35,540 --> 00:14:42,400
+من هذه التفريقات تقول ان لا عمل يتم فعله بطارية
+
+215
+00:14:42,400 --> 00:14:45,340
+طوارئ تتحرك في مقاطع تحميل مقاطع تحميل مقاطع تحميل
+
+216
+00:14:45,340 --> 00:14:47,060
+مقاطع تحميل مقاطع تحميل مقاطع تحميل مقاطع تحميل
+
+217
+00:14:47,060 --> 00:14:57,440
+مقاطع
+
+218
+00:14:57,440 --> 00:15:02,180
+تحميل
+
+219
+00:15:02,240 --> 00:15:06,580
+0 لأنه قاللي هو الشغل مش هو فرق الجهد مضروف الشحنة
+
+220
+00:15:06,580 --> 00:15:11,160
+طيب فرق الجهد صفر جديش الشغل zero طيب إذا معناته
+
+221
+00:15:11,160 --> 00:15:16,140
+مافيش شغل لازم يكون مافيش شغل يقدر عشان أنقل
+
+222
+00:15:16,140 --> 00:15:19,080
+الشحنة بالنقطين على نفس ال potential service قاللي
+
+223
+00:15:19,080 --> 00:15:22,330
+طب عامةمازال الـ Equipotential Surface ممنوع يكون
+
+224
+00:15:22,330 --> 00:15:26,730
+فيه شغل طيب كيف أرسم من الـ Equipotential Surface
+
+225
+00:15:26,730 --> 00:15:30,310
+بحيث أن ال work يكون عليه zero صح ولا لأ؟ بس إذا
+
+226
+00:15:30,310 --> 00:15:34,590
+ال work صفر بأضمن الجهود ثابت ولا لأ؟ أه طيب قال
+
+227
+00:15:34,590 --> 00:15:37,170
+لي ال work إيش بيساوي؟ قال لي ال work هو أصلا
+
+228
+00:15:37,170 --> 00:15:44,090
+بيساوي Q تكامل E.DL هلقى أصلا مش F.DL؟ قال لي إذا
+
+229
+00:15:44,090 --> 00:15:50,390
+انت رسمت Surfaceبكون هذا فيه سفر بأضمن انه وجود
+
+230
+00:15:50,390 --> 00:15:53,290
+ثابت قال طب انا كيف هذا بيكون سفر هذا بيكون عمودي
+
+231
+00:15:53,290 --> 00:15:57,210
+على هذا بكفي صح ولا لأ لو كان عمودي ضد ال product
+
+232
+00:15:57,210 --> 00:16:01,630
+بتبيحها فهذه DL هو المكان اللي بنقل فيه المسار
+
+233
+00:16:01,630 --> 00:16:03,990
+اللي بنقل فيه الشحنة انا بدأ نقل على نفس ال
+
+234
+00:16:03,990 --> 00:16:06,370
+surface قال لي إذا دائما اللي ايه كموتينشر ال
+
+235
+00:16:06,370 --> 00:16:09,390
+surface بيكون عمودي على المجال الكهربائيبتكون
+
+236
+00:16:09,390 --> 00:16:11,850
+عمودي على المجال إيه هيك بترسم الـ Equipotential
+
+237
+00:16:11,850 --> 00:16:14,950
+Surface إذا الإيه الـ Equipotential Surface بيكون
+
+238
+00:16:14,950 --> 00:16:19,430
+عمودي يعني جالي انت عندك مجال منطبق مش هيك برسمه
+
+239
+00:16:19,430 --> 00:16:22,770
+مش هيك أنا برسم مجال منطبق هذا إيه جالي أرسم الـ
+
+240
+00:16:22,770 --> 00:16:26,090
+Equipotential Surface جالي هذا بجيب هذا سطح مش خط
+
+241
+00:16:26,090 --> 00:16:35,030
+سطح زيك هذه Equipotential Surface طلع يا عزيزي
+
+242
+00:16:35,030 --> 00:16:39,600
+بقعد انتج من هنا ل هنا ل هنا ل هنا في شغللأ لأنه
+
+243
+00:16:39,600 --> 00:16:43,840
+انا و انت متقل IDL و IE عمودي انتقل من هالهالهال
+
+244
+00:16:43,840 --> 00:16:46,880
+طبعا حتى لو كانت انا ملتقى الهيك شباب هذا ما هو
+
+245
+00:16:46,880 --> 00:16:49,480
+هيك انا ملتقى الهيك surface انا ملتقى الهيك برضه
+
+246
+00:16:49,480 --> 00:16:52,960
+المجال عمودي ولا لأ عشان كده يقول surfaceعشان تكون
+
+247
+00:16:52,960 --> 00:16:57,240
+الكلية هيك surface لإن في عندي حتة اما هيك او هيك
+
+248
+00:16:57,240 --> 00:17:01,120
+وبالتالي بيصير عندي surface بتحقق معه شرق انه ال
+
+249
+00:17:01,120 --> 00:17:03,960
+work يكون zero فقلت ال eco potential مش line
+
+250
+00:17:03,960 --> 00:17:07,780
+surface عمودي على خط بيكون surface فال eco
+
+251
+00:17:07,780 --> 00:17:11,100
+potential surface دائما لازم يكون عمودي على خطوط
+
+252
+00:17:11,100 --> 00:17:16,590
+المجال عمودي على خطوط المجالهذا يعني أن خطوط
+
+253
+00:17:16,590 --> 00:17:20,910
+الهواتف يجب أن تكون مرتبطة بالخطوط الهواتف واخر
+
+254
+00:17:20,910 --> 00:17:25,830
+حاجة أن خطوط الهواتف تصمم خطوط الهواتف طبعا
+
+255
+00:17:25,830 --> 00:17:28,510
+اتطلعوا هذا الخطوط عمودي عقودة المجال وليس عمودي
+
+256
+00:17:28,510 --> 00:17:34,170
+الهواتف كيف يكون في المجال فقط خارج الهواتف عمودي
+
+257
+00:17:35,020 --> 00:17:38,180
+عمودي، إذا المقناته صح الكلاه إن الـEquipotential
+
+258
+00:17:38,180 --> 00:17:41,260
+Surface لازم يكون عمودي على خطوط المجال وهو المجال
+
+259
+00:17:41,260 --> 00:17:44,500
+على سطح أي كوندكتر عمودي عليه في صوصك مع لبسه من
+
+260
+00:17:44,500 --> 00:17:48,160
+النقطة إذا كنتوا ذاكرين إذا الخضية متواترة وفيها
+
+261
+00:17:48,160 --> 00:17:53,200
+تناغم في التثصير إنه أنا الـEquipotential Surface
+
+262
+00:17:53,200 --> 00:17:56,340
+هو السطح اللي بيكون جوهده متساوي كده بدي أرسمه
+
+263
+00:17:56,340 --> 00:18:00,080
+لإيرسمه عمودي على خطوط المجال بيكون أكيد ضمنت أن
+
+264
+00:18:00,080 --> 00:18:04,370
+يكون Equipotential Surface في هذه الحالة تمامدعوني
+
+265
+00:18:04,370 --> 00:18:07,830
+أشوف هذا المثال بيقول لي two conducting charge
+
+266
+00:18:07,830 --> 00:18:12,270
+spheres two spheres بس conductors يعني مش plastic
+
+267
+00:18:12,270 --> 00:18:17,190
+الآن القلطين من النحاسو3D واحدة R واحد واحدة R
+
+268
+00:18:17,190 --> 00:18:20,610
+اتنين حلو واحد نصف كتر غير عن التانية واحدة اكبر
+
+269
+00:18:20,610 --> 00:18:24,430
+مصمطات بس conductor جاليش جوه شويه شحنات حتى لو
+
+270
+00:18:24,430 --> 00:18:27,430
+كانوا مصمطات لانه جالي سفير ماجاليش شيل الشيل بعض
+
+271
+00:18:27,430 --> 00:18:30,910
+ع بعض انا جوه فاضية جالي شفير لكن conductor هجيت
+
+272
+00:18:30,910 --> 00:18:34,010
+مصمطة ولا فاضية في جوه شحنات مش شحنات انا
+
+273
+00:18:34,010 --> 00:18:38,580
+conductorتمام are separated by a distance much
+
+274
+00:18:38,580 --> 00:18:42,620
+larger than the radius of either seas جميع هؤلاء
+
+275
+00:18:42,620 --> 00:18:45,800
+بعض عم بعض كتير بحيث أن المسافة اللي بينهم أكبر
+
+276
+00:18:45,800 --> 00:18:48,380
+كتير من أنصار أقطارهم يعني خلنا نقول واحدة هنا
+
+277
+00:18:48,380 --> 00:18:52,470
+والتاني موجودة في بيت حنوالكورات تانية في رفاح يا
+
+278
+00:18:52,470 --> 00:18:55,150
+سيدي تزعلش اذا انت من السكان رفاح واحدة هنا واحدة
+
+279
+00:18:55,150 --> 00:18:59,290
+في رفاح و جيبني سلك من رفاح لغزة لما وصلناهم
+
+280
+00:18:59,290 --> 00:19:03,150
+البقعد اكم contact اصاروا واحد اذا بدي اضمن ان في
+
+281
+00:19:03,150 --> 00:19:06,710
+واحد بيساوي في اتنين الجهود تساوى طب عن ايش جالي
+
+282
+00:19:06,710 --> 00:19:09,650
+تقوليش ودتها على رفاح قد ما تقوليش ودتها على رفاح
+
+283
+00:19:09,650 --> 00:19:12,710
+لإن لو كانت جريبة واحدة هنا واحدة هنا تصير عندي
+
+284
+00:19:12,710 --> 00:19:18,090
+مشكلة قد ما يشوفوني مشكلتهابيقول لي the two
+
+285
+00:19:18,090 --> 00:19:20,630
+spheres are connected by a conducting wire خاص
+
+286
+00:19:20,630 --> 00:19:25,310
+وصوتهم ما زال وصوتهم صار كنت بكتر واحد اذا اي نقطة
+
+287
+00:19:25,310 --> 00:19:27,310
+على السطح هذا الجهد هيبقى بيكون على نفس النقطة على
+
+288
+00:19:27,310 --> 00:19:30,570
+السطح هداك ولا لأ الجهد تساوى the charge on the
+
+289
+00:19:30,570 --> 00:19:33,290
+spheres in equilibrium are Q1 and Q2 انت جالس
+
+290
+00:19:33,290 --> 00:19:37,410
+شحنات و جالسنا و صار في عندك equilibrium جالسش في
+
+291
+00:19:37,410 --> 00:19:42,710
+شحنات هنا Q1 جالسش فينا شحنات Q2 فجيت سؤالي لو كان
+
+292
+00:19:42,710 --> 00:19:47,710
+الأول فيها عشرة والتانية فيها خمسةكلهم هنا خمسة
+
+293
+00:19:47,710 --> 00:19:51,770
+كلهم تمام؟ وصلتهم هل بالضرورة فيه سبعة و نص أو
+
+294
+00:19:51,770 --> 00:19:57,790
+سبعة و نص؟ هم إذا .. إذا هم نفس الحجم .. لا لكن في
+
+295
+00:19:57,790 --> 00:20:02,470
+النهاية هدول جديش مجموعهم خمس طاعت لو واحد اتنين
+
+296
+00:20:02,470 --> 00:20:05,960
+اللي بقى اليوم بيكونالتالتة ثلاثة عشر يعني المجموع
+
+297
+00:20:05,960 --> 00:20:09,580
+بيتغير؟ لأ المجموع خمس عشر لو واحد أخدت اتنين لو
+
+298
+00:20:09,580 --> 00:20:11,980
+واحد أخدت سبعة و نص التاني بيتاخد سبعة و نص لكن لو
+
+299
+00:20:11,980 --> 00:20:15,020
+واحد أخدت ستة التاني ايش بيكون؟ تسعة اذا المهم
+
+300
+00:20:15,020 --> 00:20:18,660
+المجموع بيكون واحد هي بيضاعفه لإن كل زيارة تشجع كل
+
+301
+00:20:18,660 --> 00:20:22,300
+زيارة و لإنسانها كل زيارة هي انتجرت لكن ما ماتتش
+
+302
+00:20:22,300 --> 00:20:28,580
+المجموع ده الواحد المهم بيقوليخلّيني أقول 6 و 9 ..
+
+303
+00:20:28,580 --> 00:20:31,980
+ال 6 أعتبرت Q1 و 9 أعتبرت Q2 .. أنا جست الشحنات
+
+304
+00:20:31,980 --> 00:20:34,940
+بعد ما انتجلوا هدول .. ايش بيقولي .. the charges
+
+305
+00:20:34,940 --> 00:20:37,700
+on the spheres in equilibrium .. بعد ما انتجلوا ..
+
+306
+00:20:37,700 --> 00:20:42,040
+جدي الكلام في الأول مانيش دعوة .. تمام .. إيش بده
+
+307
+00:20:42,040 --> 00:20:46,420
+.. خايل two spheres .. واحدة في غزة واحدة في رفعة
+
+308
+00:20:46,420 --> 00:20:49,800
+.. تمام .. بعد .. و هذا السلك طويل لما جبناهم ..
+
+309
+00:20:49,800 --> 00:20:52,940
+تمام ..قال يجب ان يجد مقارنة مقارنة مقارنة مقارنة
+
+310
+00:20:52,940 --> 00:20:53,540
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+311
+00:20:53,540 --> 00:20:54,200
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+312
+00:20:54,200 --> 00:20:58,940
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+313
+00:20:58,940 --> 00:21:03,060
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+314
+00:21:03,060 --> 00:21:03,180
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+315
+00:21:03,180 --> 00:21:08,740
+مقارنة مقارنة مقارنة
+
+316
+00:21:08,740 --> 00:21:14,520
+مقارنةعشان .. عشان ال conductor عشان ال conductor
+
+317
+00:21:14,520 --> 00:21:17,380
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+318
+00:21:17,380 --> 00:21:17,880
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+319
+00:21:17,880 --> 00:21:19,120
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+320
+00:21:19,120 --> 00:21:20,080
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+321
+00:21:20,080 --> 00:21:24,760
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+322
+00:21:24,760 --> 00:21:28,840
+بيبقى
+
+323
+00:21:28,840 --> 00:21:37,260
+بيبقى
+
+324
+00:21:38,310 --> 00:21:41,470
+هذه دائما موجودة ما زالت وصله بيقول the same both
+
+325
+00:21:41,470 --> 00:21:43,910
+spheres are connected by a conductor خلاص صاروا
+
+326
+00:21:43,910 --> 00:21:47,990
+conductor واحد the potential is the same for both
+
+327
+00:21:47,990 --> 00:21:51,670
+spheres I واحد و V واحد بيساوي V اتنين طب كيف اجيب
+
+328
+00:21:51,670 --> 00:21:55,070
+V واحد و كيف اجيب V اتنين V واحد انا بقصد فيها
+
+329
+00:21:55,070 --> 00:21:58,870
+الجهد على سطح الأول و V اتنين الجهد على سطح التاني
+
+330
+00:21:58,870 --> 00:22:03,870
+ان هذه واحد اه V واحد هنا و V اتنين هناك لو هدول
+
+331
+00:22:03,870 --> 00:22:07,220
+كانوا جرابعة بعد شباباجراب هدى و هدى مش خانونس ولا
+
+332
+00:22:07,220 --> 00:22:11,060
+غزة هدى هنا و هدى هنا زى ما تشاهد فيها جالي اودي
+
+333
+00:22:11,060 --> 00:22:13,540
+دى جهود عند النقطة هدى بقول انا بس جاي من الشحنات
+
+334
+00:22:13,540 --> 00:22:18,300
+هدى ولا جاي من هدول كمان جاي من هدول صح ولا لأ اذا
+
+335
+00:22:18,300 --> 00:22:20,880
+انا لما جالي واحدة في رفح و واحدة في غزة جالي لما
+
+336
+00:22:20,880 --> 00:22:24,440
+جيب الجهود هنا انسى هديك مش موجودة بعيدة عنك اذا
+
+337
+00:22:24,440 --> 00:22:27,320
+الجهود هنا بس من هدى و هدى جهود عليكم دكتور طوى
+
+338
+00:22:27,320 --> 00:22:28,400
+طلعت انا وياكم هنا
+
+339
+00:22:31,600 --> 00:22:35,180
+كيك ليو على نص القطر ولا لأ؟ إذا في واحد بيسوي كيك
+
+340
+00:22:35,180 --> 00:22:38,060
+ليو واحد على ار واحد ولا لأ؟ كيك ليو واحد على ار
+
+341
+00:22:38,060 --> 00:22:41,500
+واحد وفي اتنين كيك ليو اتنين على ار اتنين لكن لو
+
+342
+00:22:41,500 --> 00:22:44,520
+كانوا يقولوا أبقى مقدر أكتر بهذا الكلام؟ لأ، مقدر
+
+343
+00:22:44,520 --> 00:22:47,960
+أكتر بهذا الكلام، تمام؟ لإن في سؤال في الـquizzات
+
+344
+00:22:47,960 --> 00:22:52,660
+وفي الكتاب يقول في تتو كورتين زي هيك، واحدة في
+
+345
+00:22:52,660 --> 00:22:55,800
+المركز التاني، هدول كورتين مجوفتين، جاني واحد
+
+346
+00:22:55,800 --> 00:23:01,830
+وصلتهم بالسلك زي هيك، تمام؟هجيتوا؟ اتوصلوا او ما
+
+347
+00:23:01,830 --> 00:23:06,990
+اتوصلوش؟ اذا V1 بيساوي V2 قطعا لكن هل V1 بيساوي KQ
+
+348
+00:23:06,990 --> 00:23:10,790
+1 على R1؟ في مجال جوا نفتامي كبير اذا معناته لانه
+
+349
+00:23:10,790 --> 00:23:15,810
+جوا مع بعض انا اديكم شغلة هجيت هادرو سار كوندكتور
+
+350
+00:23:15,810 --> 00:23:22,590
+و انت في مركز الشحنات؟ اي صدر حين خارجي في شحنات
+
+351
+00:23:22,590 --> 00:23:29,010
+هنا؟ فيش شحنات؟ في شحنات هنا؟ اه كل الشحناتلأن
+
+352
+00:23:29,010 --> 00:23:32,190
+الشحنات في مركز اخر .. يعني قبل هنا فيه شحنات و
+
+353
+00:23:32,190 --> 00:23:33,810
+هنا فيه شحنات و اصلتهم الشحنات اللي هنا بيشردوا
+
+354
+00:23:33,810 --> 00:23:37,110
+بيجوهان على طول هي فيه شحنات و هنا فيه شحنات لكن
+
+355
+00:23:37,110 --> 00:23:41,750
+فيه جهود؟ فيه .. هي بيساوي جود الشحنات عليها كمان
+
+356
+00:23:41,750 --> 00:23:45,190
+شحنات عليها Zero لكن بالرغم من كده المجلس يقول KQ
+
+357
+00:23:45,190 --> 00:23:49,870
+على R قبل ايش؟ بيقول موجود من جامنها لحالها فيها
+
+358
+00:23:49,870 --> 00:23:54,250
+حوالها كمان شحنات فبيساوي الجود اللي هنا بيساوي
+
+359
+00:23:54,250 --> 00:23:58,220
+Zero بالرغم من ان مافيش شحناتفهمتوا عليها يا شباب؟
+
+360
+00:23:58,220 --> 00:24:01,280
+اذا انا لما اقول يبعد عن بعض كتير عشان لما اجيب
+
+361
+00:24:01,280 --> 00:24:05,100
+جودر عند واحدة بس منها والتانية مابتأثرش عليها
+
+362
+00:24:05,100 --> 00:24:12,060
+تمام؟ اذا بعد ما كتبت هذه عشان جاي انه I separated
+
+363
+00:24:12,060 --> 00:24:15,740
+by a distance much longer than the radius of
+
+364
+00:24:15,740 --> 00:24:21,360
+either sphere على طول بقدر اقول ان V1 بيسوي KQ1
+
+365
+00:24:21,360 --> 00:24:27,440
+على R1 و V2 بيسوي KQ2 على R2إذا هذه الخطوة التانية
+
+366
+00:24:27,440 --> 00:24:30,680
+ما كتبتاش إلا لما حكالي انهم بيبعدوا عن بعض كتير
+
+367
+00:24:30,680 --> 00:24:33,880
+صار الجهد على سطح الأولى بساوي الجهد اللى جاي من
+
+368
+00:24:33,880 --> 00:24:36,680
+شحناتها فقط و الجهد على سطح التانية بساوي الجهد
+
+369
+00:24:36,680 --> 00:24:39,540
+اللى جاي من شحناتها فقط و الشحنة التانية مانهجة
+
+370
+00:24:39,540 --> 00:24:44,340
+على الأولى ولا الأولى ع التانية تمام بعد كده خلصنا
+
+371
+00:24:44,340 --> 00:24:48,620
+الحل كيه مع كيه بتشهد ولا لأ كيه مع كيه بتروح صار
+
+372
+00:24:48,620 --> 00:24:53,940
+في عندي التاليهو ايش بده في الأول بده E1 على E2 و
+
+373
+00:24:53,940 --> 00:25:03,240
+من هنا تقدر تقول ان Q1 على Q2 equal Q2R1 على R2
+
+374
+00:25:04,220 --> 00:25:07,600
+فحيك ولا لأ؟ خلاص طلعتها بدي اي واحدة اي اتنين
+
+375
+00:25:07,600 --> 00:25:11,000
+جالي اي واحدة اي اتنين على السطوح وهذا conductor
+
+376
+00:25:11,000 --> 00:25:14,980
+وانا حاكي اي just outside ال conductor بالساوية
+
+377
+00:25:14,980 --> 00:25:19,340
+سجما على اي نوت ولا لأ انا طلعتها بقول that charge
+
+378
+00:25:19,340 --> 00:25:22,460
+are distributed over the surface of the sphere
+
+379
+00:25:22,460 --> 00:25:26,900
+سويها بتجيب سجمة زي شباب بتجيب سجمة بقول سجمة واحد
+
+380
+00:25:26,900 --> 00:25:33,290
+بالساوية q واحد على مساحة الأولوSigma 2 بالساوية
+
+381
+00:25:33,290 --> 00:25:39,050
+Q2 على أربع أباع R2 هذه سيجماز طيب أنا Q1 على Q2
+
+382
+00:25:39,050 --> 00:25:42,350
+بعرفها جالي أجسم Sigma 1 على Sigma 2 طبعا أنا هنا
+
+383
+00:25:42,350 --> 00:25:45,810
+بالخطأ جاني بال capital R اسمه الارة بس هدول هو
+
+384
+00:25:45,810 --> 00:25:50,430
+نفسهم يعني تمام؟ جالي أجسمها هدول هذه الأربع أباعي
+
+385
+00:25:50,430 --> 00:25:55,070
+مع الأربع أباعي طارت وQ1 على Q2 وR2 ترديد على R1
+
+386
+00:25:55,070 --> 00:25:58,850
+هذه Q1 على Q2 بتلاقي قدرة من هنا ولا لأ؟خدها اه
+
+387
+00:25:58,850 --> 00:26:02,790
+حطها شباب حط R واحد مع التربيه مابتضلش واحدة لإنها
+
+388
+00:26:02,790 --> 00:26:06,310
+واحدة و هنا في R تنين مع التربيه مابتضل فبتطلع
+
+389
+00:26:06,310 --> 00:26:11,210
+النتيجة هيك سيجما واحد على سيجما اتنين بيساوي R
+
+390
+00:26:11,210 --> 00:26:15,190
+تنين على R واحد في شغل اه انتوا خدتوه في المدارس
+
+391
+00:26:15,190 --> 00:26:20,770
+وين بتتمركز الشحنات او اقص المدببة برق عليكم انتي
+
+392
+00:26:20,770 --> 00:26:26,200
+شبابع المناطق الحاد ده فبالرؤوس المدببة نص كترها
+
+393
+00:26:26,200 --> 00:26:31,200
+كبير ولا صغير؟ صغير يعني المفروض في الرسمة تبعتنا
+
+394
+00:26:31,200 --> 00:26:35,680
+تروح على نص كترها كبير وع نص كترها صغير على نص
+
+395
+00:26:35,680 --> 00:26:39,400
+كترها صغير يعني على أقل 2 هي Sigma 2 أكبر من Sigma
+
+396
+00:26:39,400 --> 00:26:43,360
+1سيجما اتنين اكبر لأ سيجما واحد اكبر من سيجما
+
+397
+00:26:43,360 --> 00:26:47,940
+اتنين لان انا عندي R واحد صغيرة اظن في الرسمة حسب
+
+398
+00:26:47,940 --> 00:26:50,800
+الرسمة التبادل R واحد صغيرة بالتالي سيجما واحد هي
+
+399
+00:26:50,800 --> 00:26:54,600
+الكبيرة هنا سيجما واحد هي الكبيرة لان R اتنين
+
+400
+00:26:54,600 --> 00:26:59,830
+كبيرة فسيجما واحد اكبرهنا طبعا طلعت نتيجة مجرد شغل
+
+401
+00:26:59,830 --> 00:27:02,970
+رياضيات ومن هنا بنقول it is clear from this result
+
+402
+00:27:02,970 --> 00:27:07,250
+that the charge density is greatest أكبر on the
+
+403
+00:27:07,250 --> 00:27:10,870
+small spheres as expected كيف expected انه تتمركز
+
+404
+00:27:10,870 --> 00:27:15,350
+الشحنات عند المناطق الحادة at sharp points هذه
+
+405
+00:27:15,350 --> 00:27:19,710
+خاصية مشهورة ومعروفة وغيرها أثبتناها انا جيبت ال
+
+406
+00:27:19,710 --> 00:27:23,010
+sigma's وبدوا E's طب خلنا نجيب ال E بقولناها since
+
+407
+00:27:23,010 --> 00:27:25,900
+diameter field on the surface of a conductorهذه
+
+408
+00:27:25,900 --> 00:27:29,060
+المعلومة أخدناها في الشرطة من الماضي أن شدة المجال
+
+409
+00:27:29,060 --> 00:27:32,440
+على conductor بساوية sigma على epsilon note مرت؟
+
+410
+00:27:32,440 --> 00:27:35,240
+اه perpendicular and equal to the sigma على
+
+411
+00:27:35,240 --> 00:27:38,900
+epsilon note طب إذا معناته بقدر أقول E1 على E2
+
+412
+00:27:38,900 --> 00:27:42,920
+بساوية sigma 1 على sigma 2 وراحت epsilon طبعا لان
+
+413
+00:27:42,920 --> 00:27:45,700
+واحدة من التان ابسلون طب sigma 1 على sigma 2 طب و
+
+414
+00:27:45,700 --> 00:27:47,780
+طلعتها معاكم ولا لا؟ طب و طلعناها
+
+415
+00:27:50,960 --> 00:27:53,560
+النتيجة كانت تقول ان المنطقة الكهربائية كانت أكثر
+
+416
+00:27:53,560 --> 00:27:57,440
+قوية خلال المنطقة الصغيرة لماذا أكثر قوية؟ يقول
+
+417
+00:27:57,440 --> 00:28:00,840
+إنك هناك سيغما كبيرة وانا خطوط المجال تتناسب مع
+
+418
+00:28:00,840 --> 00:28:03,680
+الشحنات ولا لأ؟ إذا معناها تكون قوية مش خضية
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/BVklL2q8pvQ.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/BVklL2q8pvQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1b5f3578601b98c5aace08cd4721ed7489489ef3
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/BVklL2q8pvQ.srt
@@ -0,0 +1,2033 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:15,100 --> 00:00:17,980
+أحنا نقول بسم الله الرحمن الرحيم في البداية لأن هو
+
+3
+00:00:17,980 --> 00:00:23,940
+بداية الشطر، الشطر one بيحكي عن 2015 دائماً هنا وهو
+
+4
+00:00:23,940 --> 00:00:27,940
+المدينة الكهربائية، معنى الشطر، الشطر هذا سيكون طويل 
+
+5
+00:00:27,940 --> 00:00:32,440
+شويه، سيكون قنقل عشان يتغطى بحسب الـ outlines اللي 
+
+6
+00:00:32,440 --> 00:00:36,260
+مكتوب عليكم، دائماً حكيت أن أنا في كل شطر سأحكي عن
+
+7
+00:00:36,260 --> 00:00:39,340
+أولى المميزين في كلهم، هؤلاء المميزين عندكم، بارضوا
+
+8
+00:00:39,340 --> 00:00:42,460
+على الصفحة موجودين عندكم في الـ outlands في الجبال
+
+9
+00:00:42,460 --> 00:00:47,070
+كل شطر في الأسلاف اللي مصمومة أنكم تحلوها، كان مينا
+
+10
+00:00:47,070 --> 00:00:50,250
+بقى الـ recommended problem دي، هذا الشبكة اللي زي
+
+11
+00:00:50,250 --> 00:00:56,170
+ما هتشوف هو أنه فيه شبك أسلحة، منطقة recommended ومصطفى
+
+12
+00:00:56,170 --> 00:01:02,170
+المهمين دي، فعلاً يتخيلوا واحد واثنين واثنين
+
+13
+00:01:02,170 --> 00:01:07,610
+واثنين، فعلاً الآن الاختيار على أساس أنه التقييم فيه
+
+14
+00:01:07,610 --> 00:01:10,430
+من الطالب، المعلومات الأساسية اللي أنا بديها في صغر
+
+15
+00:01:10,430 --> 00:01:15,010
+الطالب لنوم، اللي هي كل مسافر، كل شطة، يهدف، أنا بدي 
+
+16
+00:01:15,010 --> 00:01:18,850
+… هدف معين من هدف الشطة، بدي بعض الأمثلة في صغر
+
+17
+00:01:18,850 --> 00:01:22,550
+الطالب يقولها، هذه الأسئلة بتقيّص هذه الأمثلة، في
+
+18
+00:01:22,550 --> 00:01:26,050
+امتحان برضه، أنا بتقيّص أي من الأمثلة، فأرتد عليها، 
+
+19
+00:01:26,050 --> 00:01:28,870
+وبالتالي الأسئلة اللي بيبقوش ملايين شطون، بيكونوا
+
+20
+00:01:28,870 --> 00:01:32,370
+شغلات مفارقة في الناس، واحنا نركز عليها أفضل و
+
+21
+00:01:32,370 --> 00:01:36,890
+بنكررها عدة مرات زي ما نتكلم عنه 65 مرة من الكتاب
+
+22
+00:01:36,890 --> 00:01:40,550
+فيه أكثر من 70 سؤال، احنا اتفضنا هذه الأسئلة وهاني 
+
+23
+00:01:40,550 --> 00:01:44,170
+أتوقع عنهم وموجودة على صفحته على يوتيوب، حكوم
+
+24
+00:01:44,170 --> 00:01:50,590
+متولدة في أكثر من مكان، تمام، في البداية هنحكي عن
+
+25
+00:01:50,590 --> 00:01:54,730
+الـ Electric Charger، الشحن الكهربائي، الشحن 
+
+26
+00:01:54,730 --> 00:01:59,450
+الكهربائي، أساسي، الكهربائية في شحنات كهربائية، وأساسي 
+
+27
+00:01:59,450 --> 00:02:03,710
+المناطق السيئة أيضاً، هناك living charges، رأيته
+
+28
+00:02:03,710 --> 00:02:09,230
+متعدد ومعروف من زمان، من الإدارية، أخذت المعلومات،
+
+29
+00:02:09,230 --> 00:02:10,150
+أنهم أرضوا 
+
+30
+00:02:10,150 --> 00:02:22,950
+كارثوكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيك
+
+31
+00:02:23,620 --> 00:02:27,680
+والـ negative charge اللي تلقّيها في المادة هي
+
+32
+00:02:27,680 --> 00:02:34,880
+الإلكترونات، بالتالي أصل الكهرباء هو المادة لأن
+
+33
+00:02:34,880 --> 00:02:40,060
+المادة مكوّنة أصلاً من البروتونات، والبروتونات الموجودة
+
+34
+00:02:40,060 --> 00:02:45,860
+فيها هو النيوترونات في المواد، والإلكترونات تتحرك في
+
+35
+00:02:45,860 --> 00:02:50,780
+حرارة نوكلير، يلقوا حوالين البروتونات، هذا أصل المادة
+
+36
+00:02:50,780 --> 00:02:55,710
+إذا الكهرباء أصلها هي المادة، عرفتك على أن البروتونات
+
+37
+00:02:55,710 --> 00:03:00,350
+تحمل شحنات موجبة، وعرفتك البروتونات على أنها تحمل 
+
+38
+00:03:00,350 --> 00:03:06,200
+شحنات موجبة، بالتالي المعلومة برضه اللي بتبقى أن الـ
+
+39
+00:03:06,200 --> 00:03:09,880
+DNA بتتشارد فوق نفس الإلكترون، قلبهم بتتشارد فوق
+
+40
+00:03:09,880 --> 00:03:15,140
+إلكترون، هجتين مجنونين، يوجة شحنة الإلكترون مع أنها
+
+41
+00:03:15,140 --> 00:03:18,220
+موجبة وسحنة البروتون مع أنها موجبة بقى
+
+42
+00:03:18,220 --> 00:03:22,860
+تنفذهم إلى إنهم يحملوا نفس المقدار، إنهم نفس
+
+43
+00:03:22,860 --> 00:03:31,220
+المقدار، والمقدار هذا وجدت إلى نساوة 1.610⁻¹⁹ كولوم
+
+44
+00:03:31,220 --> 00:03:36,560
+كولوم جمالها اللي هي وحدة الـ Charge، أول إنجليزية
+
+45
+00:03:36,560 --> 00:03:42,760
+حفرة علينا هي الـ Charge، الـ S.I. unit of charge is
+
+46
+00:03:42,760 --> 00:03:47,220
+كولوم، احنا عارفين أن هم فيه system مختلفة، الـ S.I. 
+
+47
+00:03:47,380 --> 00:03:51,220
+والجامعة هنا من البرتجال، الـ B.H. اللي معتمد علينا
+
+48
+00:03:51,220 --> 00:03:54,920
+هو الـ S.I. system قبل دور المقال كتير، الـ Unit of
+
+49
+00:03:54,920 --> 00:04:00,310
+charge in the S.I. system is Cologne ورمزة بحث هذه
+
+50
+00:04:00,310 --> 00:04:03,970
+كانت سنة، إذا هذا المفضل، وأنت ممكن تسكت بقى وأنت
+
+51
+00:04:03,970 --> 00:04:04,830
+ممكن تسكت بقى وأنت ممكن تسكت بقى وأنت ممكن تسكت
+
+52
+00:04:04,830 --> 00:04:06,450
+بقى وأنت ممكن تسكت بقى وأنت ممكن تسكت بقى وأنت
+
+53
+00:04:06,450 --> 00:04:07,010
+ممكن تسكت بقى وأنت ممكن تسكت بقى وأنت ممكن تسكت
+
+54
+00:04:07,010 --> 00:04:10,130
+بقى وأنت ممكن تسكت بقى وأنت ممكن تسكت بقى وأنت
+
+55
+00:04:10,130 --> 00:04:11,650
+ممكن تسكت بقى وأنت ممكن تسكت بقى وأنت ممكن تسكت
+
+56
+00:04:11,650 --> 00:04:27,010
+بقى وأنت ممكن تسكت بقى وأنت ممكن تسكت بقى وأنت
+
+57
+00:04:27,010 --> 00:04:32,120
+ممكن تسكت، مثال هي إذا كان عدد البروتونات عالمي لجيب 
+
+58
+00:04:32,120 --> 00:04:35,820
+كورة البروتونات السماوية في أي مادة وهو لا يوارو
+
+59
+00:04:35,820 --> 00:04:40,020
+القصيدة، معناته أن جسم الجمهور يحب الناس اللي 
+
+60
+00:04:40,020 --> 00:04:42,000
+يتعرف عليها، يتعرف عليها البروتونات، تعالوا، 
+
+61
+00:04:42,000 --> 00:04:43,580
+تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا،
+
+62
+00:04:43,580 --> 00:04:44,680
+تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا،
+
+63
+00:04:44,680 --> 00:04:45,180
+تعالوا، تعالوا، تعالوا، تعالوا، تعالوا، تعالوا،
+
+64
+00:04:45,180 --> 00:04:48,540
+تعالوا، تعالوا، الطبيب هو إلكتروني في حياته المتعادلة 
+
+65
+00:04:48,540 --> 00:04:54,240
+عندما نموذج الإلكترون يتساوي نموذج البروتونات، إذا 
+
+66
+00:04:54,240 --> 00:04:58,380
+لما نقول المادة غير مشهورة، يعني متعادلة، هذا لا 
+
+67
+00:04:58,380 --> 00:05:02,340
+يعني أنه ما فيش فيها شحنات كثيرة، فيها شحنات، لأن
+
+68
+00:05:02,340 --> 00:05:04,420
+الشحنات اللي بيوجد بوضعها شحنات كثيرة بقالة، هم
+
+69
+00:05:04,420 --> 00:05:06,280
+متساوين، متساوين، متساوين، متساوين، متساوين،
+
+70
+00:05:06,280 --> 00:05:07,360
+متساوين، متساوين، متساوين، متساوين، متساوين،
+
+71
+00:05:07,360 --> 00:05:09,160
+متساوين، متساوين، متساوين، متساوين، متساوين،
+
+72
+00:05:09,160 --> 00:05:12,940
+متساوين 
+
+73
+00:05:15,710 --> 00:05:21,030
+وأنت تلقى، طيب، هذه الـ charges اللي هي related 
+
+74
+00:05:21,030 --> 00:05:23,890
+charges و different charges، إيه إيه إيه إيه إيه
+
+75
+00:05:23,890 --> 00:05:26,350
+إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه
+
+76
+00:05:26,350 --> 00:05:26,490
+إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه إيه
+
+77
+00:05:26,490 --> 00:05:28,650
+إيه إيه إيه
+
+78
+00:05:38,200 --> 00:05:43,020
+الشحنات المتشابهة بتتجاذب، هم شحنات مختلفة …
+
+79
+00:05:43,020 --> 00:05:46,880
+مختلفة لأنها كتابة … كتابة أو كتابة أو كتابة، كل
+
+80
+00:05:46,880 --> 00:05:49,980
+أفريقيا من الإنجليزية، تقولكم، عارفين يوتيوب معناه
+
+81
+00:05:49,980 --> 00:05:54,800
+إيه؟ فيه جد يادر منهم، وكتب يوتيوب عن كتبهم كلهم، 
+
+82
+00:05:54,800 --> 00:06:00,680
+لكن فيه جد يادر منها بباصة أو جد يادر منهم، الصفة
+
+83
+00:06:00,680 --> 00:06:03,480
+التانية اللي برضه، وكان مبدأ 
+
+84
+00:06:07,620 --> 00:06:09,920
+محفوظة زي الـ Energy، محفوظة زي الـ Energy، محفوظة زي
+
+85
+00:06:09,920 --> 00:06:13,520
+الـ Energy، محفوظة زي الـ Energy، محفوظة زي الـ Energy
+
+86
+00:06:13,520 --> 00:06:14,460
+محفوظة زي الـ Energy، محفوظة زي الـ Energy، محفوظة زي
+
+87
+00:06:14,460 --> 00:06:18,160
+الـ Energy، محفوظة زي الـ Energy، محفوظة زي الـ Energy
+
+88
+00:06:18,160 --> 00:06:22,400
+محفوظة زي الـ Energy، محفوظة زي الـ Energy، محفوظة زي
+
+89
+00:06:22,400 --> 00:06:24,200
+الـ Energy، محفوظة زي الـ Energy، محفوظة زي الـ Energy
+
+90
+00:06:24,200 --> 00:06:28,150
+محفوظة زي الـ Energy، محفوظة زي الـ Energy، محقيعني
+
+91
+00:06:28,150 --> 00:06:32,010
+ما فيش عندي PS4 أو بطول يوتيوب من الشيء ولا عندي
+
+92
+00:06:32,010 --> 00:06:35,370
+PS4 أو بطول من بطول العالم، بروح في نفسي المنطقة
+
+93
+00:06:35,370 --> 00:06:38,170
+اللي ما كان لما كان لما كان لما كان لما كان لما
+
+94
+00:06:38,170 --> 00:06:38,930
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+95
+00:06:38,930 --> 00:06:39,750
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+96
+00:06:39,750 --> 00:06:40,830
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+97
+00:06:40,830 --> 00:06:42,770
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+98
+00:06:42,770 --> 00:06:42,810
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+99
+00:06:42,810 --> 00:06:43,430
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+100
+00:06:43,430 --> 00:06:44,070
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+101
+00:06:44,070 --> 00:06:44,510
+كان لما كان لما كان لما كان لما كان لما كان لما
+
+102
+00:06:44,510 --> 00:06:47,810
+كان لما كان لما كان لما كان لما كان ل
+
+103
+00:06:51,070 --> 00:06:54,510
+طبعاً، تقولين أن دا إيه سبب؟ من أصل الشحنات ليه
+
+104
+00:06:54,510 --> 00:06:57,590
+الأقوام اللي بيقولونها؟ وأنا بعرف أبطالي، أنا ماشي
+
+105
+00:06:57,590 --> 00:07:00,550
+عامل بعمل الـ report ولا ماشي بعمل الـ report ولا
+
+106
+00:07:00,550 --> 00:07:02,890
+عشان أروح الـ report، إذا أن أنا في أي شحنة في
+
+107
+00:07:02,890 --> 00:07:07,710
+الدنيا، مش هيئة، إما أنتو أو مضاعفات، يعني خمس، 
+
+108
+00:07:07,710 --> 00:07:11,530
+عشر، بليون، مليون، تبتدية، I'm not convinced إنه
+
+109
+00:07:11,530 --> 00:07:15,890
+بيبيني شحنة، هيعبارة عن خمس آلاف electron robots
+
+110
+00:07:16,400 --> 00:07:19,860
+خلاص، خمس سنة … خمس سنة خمس سنة … خمس سنة … خمس
+
+111
+00:07:19,860 --> 00:07:22,220
+سنة … خمس سنة وأربعة … عشان … هذه هي … إذا 
+
+112
+00:07:22,220 --> 00:07:28,360
+زعلانة وهذه زعلانة مختلفة بمعنى آخر، الـ Q هو رمز
+
+113
+00:07:28,360 --> 00:07:33,880
+لأقل ما خلصت، برمزي زي ما M is a symbol of mass and
+
+114
+00:07:33,880 --> 00:07:38,400
+F is a symbol of force and D is a symbol of time
+
+115
+00:07:38,400 --> 00:07:42,620
+الـ Q is a symbol of charge، برّات بتقول الـ Q
+
+116
+00:07:42,620 --> 00:07:44,180
+small وبرّات بتقول كبير
+
+117
+00:07:47,170 --> 00:07:53,330
+الشؤلة بتساوي أن هو الانتجار الشبكاتي 0,1,2,3
+
+118
+00:07:53,330 --> 00:07:59,530
+مضروب بإيش؟ بشحنة الإلكترون، أنت إيه؟ هل يصبح صيغة
+
+119
+00:07:59,530 --> 00:08:05,070
+بتكتير للصيغة، أن البيتشار يبقى one type يعني أن
+
+120
+00:08:05,070 --> 00:08:11,830
+بستوى السترة 1,2 مش ممكن يكون 1.1 أو 1.5 أو 1.3 لأ
+
+121
+00:08:11,830 --> 00:08:18,620
+1,2,3,4 كلهم أرقام صحيحة، فهذه هي شخصية one size
+
+122
+00:08:18,620 --> 00:08:22,120
+طبعاً وعكس شخصية one size كتير واحد، كتير واحد يعني
+
+123
+00:08:22,120 --> 00:08:25,720
+أنه بانتجرش من واحد لاثنين مراحلين يعني واحد وواحد
+
+124
+00:08:25,720 --> 00:08:28,380
+ورسوم وواحد ورسوم، وواحد كده فهذه شخصية كتير واحد
+
+125
+00:08:28,380 --> 00:08:30,780
+لكن أنا اللي شارك بيبقى كتير واحد، كتير واحد، كتير
+
+126
+00:08:30,780 --> 00:08:34,300
+واحد، كتير واحد، كتير واحد، كتير واحد، كتر واحد، كتر
+
+127
+00:08:34,300 --> 00:08:34,540
+واحد، كتر واحد، كتر واحد، كتر واحد، كتر واحد، كتر واحد
+
+128
+00:08:34,540 --> 00:08:40,650
+واحد، كتر واحد، كتر واحد، كتر واحد، كتر و،الأولى
+
+129
+00:08:40,650 --> 00:08:43,110
+الشخصية المستهدفة من دلوقتي اللي أنا بعرفها من
+
+130
+00:08:43,110 --> 00:08:47,090
+دلوقتي أنّه كونسرن معيومة بتخطي إيش هو الكونسرن
+
+131
+00:08:47,090 --> 00:08:49,910
+من باقي الإنجليزيات اللي بيوفوا اللي يدعموا منهم 
+
+132
+00:08:49,910 --> 00:08:53,590
+ويدعموا منهم ويشاركوا الكونسرن ويكون فيها الشخصية 
+
+133
+00:08:53,590 --> 00:08:57,550
+المنطقية، الشحنات في هذه الشوق إيه المعنى؟ أي شخصية 
+
+134
+00:08:57,550 --> 00:09:02,110
+من المتواقبات الشخصية المنطقية، وبالتالي ما بتهانش
+
+135
+00:09:02,110 --> 00:09:02,950
+شطارة
+
+136
+00:09:16,450 --> 00:09:19,310
+زي ما شوفته واحنا قاعدين نحكي في الـ description
+
+137
+00:09:19,310 --> 00:09:23,470
+إيش اللي هنشرح؟ هنشرح تيار كهربائي، التيار الكهربائي
+
+138
+00:09:23,470 --> 00:09:26,670
+اللي يحكي هو عبارة عن حركة شحنات، إذاً إن الشحنات
+
+139
+00:09:26,670 --> 00:09:31,830
+هتزمها تتحرك، هتتحرك بأنواعها وأسلاك بأنواعها، هل 
+
+140
+00:09:31,830 --> 00:09:34,990
+كل الأسلاك تتحرك بنفس النوعية … بنفس ال …
+
+141
+00:09:34,990 --> 00:09:38,450
+الكيفيّة؟ قطعا لا، في عندي أسلاك بيسموها 
+
+142
+00:09:41,490 --> 00:09:44,850
+في عندي مواد in between بيسموها seam conductors أو 
+
+143
+00:09:44,850 --> 00:09:48,650
+أشبه موصلات، وفي عندي مواد بيسموها super conductors 
+
+144
+00:09:48,650 --> 00:09:53,050
+مواد فائقة التوصيل، احنا اللي مهمنا في هذا المصاد هو 
+
+145
+00:09:53,050 --> 00:09:56,650
+الـ conductors والـ insulators، conductors بالعربي
+
+146
+00:09:56,650 --> 00:10:02,410
+إيش فعلتها؟ موصف، و insulator؟ عازل، ولكل اللي بسمه 
+
+147
+00:10:02,410 --> 00:10:05,990
+من اسمه نصي الواحد، بسمه conductor ليه بسمه موصف؟ 
+
+148
+00:10:05,990 --> 00:10:09,710
+عشان بيوصل صح ولا لأ؟ بيوصل إيش؟ أنا بحكي في القهوة
+
+149
+00:10:11,310 --> 00:10:15,230
+يوصّل طيارة عضائي يعني يوصل الشحنات، يعني الشحنات
+
+150
+00:10:15,230 --> 00:10:18,570
+بتتحرك بسهولة، إذاً لو جينا نقول شو الـ conductor
+
+151
+00:10:18,570 --> 00:10:23,030
+نقول الـ conductor is the substance that permits 
+
+152
+00:10:23,030 --> 00:10:27,870
+electric charge to move freely، هو المادة اللي تسمح
+
+153
+00:10:29,080 --> 00:10:34,020
+وحرية تتحرك الشحنات، الطرق سالكة، دوه فيها إمكانية 
+
+154
+00:10:34,020 --> 00:10:38,560
+الحركة، إيش فيه أنثيات؟ طبعاً التركيبة الكيميائية
+
+155
+00:10:38,560 --> 00:10:41,740
+للمواد اللي بنعرف أن الإلكترونات ترتبط
+
+156
+00:10:41,740 --> 00:10:46,620
+بالنيوترونات بقوة، جلد صح ولا لا؟ هذه القوة، إذا كنت 
+
+157
+00:10:46,620 --> 00:10:50,420
+تتغلب عليها، بفترة الكلوتر، كل ما كانت القوة ضعيفة
+
+158
+00:10:50,420 --> 00:10:54,940
+كل ما كانت إمكانية أنه يفل تصير فيه أكبر، هذه وقتين 
+
+159
+00:10:54,940 --> 00:10:59,650
+كانت قوة ضعيفة من الـ metals، بالـ metals بالتالي كل
+
+160
+00:10:59,650 --> 00:11:03,010
+الـ metals تعتبر conductors، الشيء الأمثل على الـ
+
+161
+00:11:03,010 --> 00:11:06,830
+conductors هي الـ silver، أجود أنواع الـ conductors
+
+162
+00:11:06,830 --> 00:11:10,570
+من الـ metals هي الـ silver، الفضة، اللي تليها هو
+
+163
+00:11:10,570 --> 00:11:14,190
+النحاس، copper، وطبعاً في عندنا الـ aluminium والـ 
+
+164
+00:11:14,190 --> 00:11:18,010
+iron، الحديد، كل الـ metals طبعاً احنا نقشها بالتلاجة
+
+165
+00:11:28,950 --> 00:11:31,250
+لكن ما زال، أنا أتدور على التوفير، أتدور على التوفير
+
+166
+00:11:31,250 --> 00:11:34,930
+بدا أشوف أن منها غلاوة، نحاس، فبالتالي في الضربالي
+
+167
+00:11:34,930 --> 00:11:38,250
+ال
+
+201
+00:13:49,580 --> 00:13:52,540
+معلقين فيها في هذا الشرطة هي الـ superconductance
+
+202
+00:13:56,760 --> 00:14:00,440
+لأن الـ Resistivity تبعاتهم يا شباب تقريبا صفر،
+
+203
+00:14:00,440 --> 00:14:07,460
+تقريبا صفر، تقريبا صفر، تقريبا 
+
+204
+00:14:07,460 --> 00:14:12,420
+صفر، تقريبا صفر، تقريبا صفر، تقريبا صفر، تقريبا 
+
+205
+00:14:12,420 --> 00:14:13,520
+صفر، تقريبا صفر، تقريبا صفر، تقريبا صفر، تقريبا
+
+206
+00:14:13,520 --> 00:14:17,100
+صفر، تقريبا صفر، تقريبا صفر، تقريبا صفر، ت
+
+207
+00:14:19,930 --> 00:14:24,730
+والتي يفرّ بقى من المحطة لمس مجمعنا من الـ Trans
+
+208
+00:14:24,730 --> 00:14:29,770
+المزامين عشان يعوض لنا الفاقد لأن السلك المحاس هذا
+
+209
+00:14:29,770 --> 00:14:33,290
+بالرغم من أن نقول عنه أننا Conductor اللي هي وفيه
+
+210
+00:14:33,290 --> 00:14:37,210
+مقاومة وبالتالي تفقد جزء من الطاقة الكهربائية
+
+211
+00:14:37,210 --> 00:14:42,330
+خلاله لو هذا المحاس استبدل بأسلاك Super Conductors
+
+212
+00:14:42,330 --> 00:14:46,250
+الفاقد يقلّ وبالتالي بتوفر علينا كتير وإن
+
+213
+00:14:46,250 --> 00:14:51,730
+الكهرباء زي ما أطلع في 2020مزايا بعض اليوم تصل
+
+214
+00:14:51,730 --> 00:14:56,190
+الكهرباء بينكِ لـ 120 و 150 من مقدار الكهرباء المتوفر
+
+215
+00:14:56,190 --> 00:15:00,690
+فاقد لكن هذا لحد الآن الاستخدام العملي صعب
+
+216
+00:15:00,690 --> 00:15:05,230
+منتشر، أقل من الاستخدامات كلها في الـ labs لأنه
+
+217
+00:15:05,230 --> 00:15:09,050
+بيدي درجة حرارة منخفضة أو مش معنى فيها تكتير
+
+218
+00:15:09,050 --> 00:15:13,310
+الموضوع التالي برضه أنا بقدمه كيف أنا بدي أشحن جسم
+
+219
+00:15:13,310 --> 00:15:17,650
+بيقولوا في أيّ  ID أي طرف أنا ممكن ادي باسم مشهور
+
+220
+00:15:17,650 --> 00:15:21,410
+ألبسه باسم كان مشهور طب تقلّ الشحنات من المشهور إلى
+
+221
+00:15:21,410 --> 00:15:25,090
+غير المشهور نفسي المشهور الحالة الثانية أن أنا 
+
+222
+00:15:25,090 --> 00:15:29,570
+أشحن بالتأثير شبهها من طول مذابس من قعدة أن جسم 
+
+223
+00:15:29,570 --> 00:15:34,370
+أشحن بالتأثير يعني induction  الأقل بدي أشحن عملية
+
+224
+00:15:34,370 --> 00:15:39,390
+الشحن بالتأثير كيف بدي أشحن جسم تأثيرياً it's
+
+225
+00:15:39,390 --> 00:15:44,350
+charging by induction charge بناته شحنة و charge
+
+226
+00:15:44,350 --> 00:15:48,570
+كveer بناته يشحنه it's charge now or there
+
+227
+00:15:51,550 --> 00:15:56,030
+فالـ charging هنا charging by induction بيقول لي
+
+228
+00:15:56,030 --> 00:15:59,110
+with the properties of conductors and insulators
+
+229
+00:15:59,110 --> 00:16:03,350
+in mind أنت أخذت خواص الـ conductors و أخذت خواص الـ
+
+230
+00:16:03,350 --> 00:16:06,690
+insulators و أخدتها في روحك و بدي أشتغلها بيقول لي
+
+231
+00:16:06,690 --> 00:16:11,130
+when can it charge؟ charge هنا كده، a conductor
+
+232
+00:16:11,130 --> 00:16:13,450
+إذا أنا ما بقدرش أشحن الـ conductor، الـ insulator 
+
+233
+00:16:13,450 --> 00:16:15,850
+ما بقدرش أشحنه، لأنه ما بقدرش أشحنه يبقى موجوه بيهش
+
+234
+00:16:15,850 --> 00:16:20,710
+by a technique called charging by induction بتكنيك 
+
+235
+00:16:20,710 --> 00:16:23,630
+بيسمّى الـ induction أو التأثير كيف؟ بيقول لي الله
+
+236
+00:16:23,630 --> 00:16:29,930
+حاجة consider a conductor بدليل كوندكتر insulated
+
+237
+00:16:29,930 --> 00:16:34,950
+from the ground اللي أفصله عن الأرض بعازل أحمر
+
+238
+00:16:34,950 --> 00:16:40,810
+كوندكتر شجرة والأصفر جسم عازل عن الأرض حطيته على
+
+239
+00:16:40,810 --> 00:16:46,810
+لوح عازل حطيته على طاولة على لوح مطاط بلاستيك زيّاجة
+
+240
+00:16:46,810 --> 00:16:50,270
+المهم بينه وبين الأرض لأنه مش اتصال في مادة عازلة 
+
+241
+00:16:50,270 --> 00:16:54,010
+وصلت مع الأرض أطلع وأقول هذا الـ conductor فإن
+
+242
+00:16:54,010 --> 00:16:57,610
+هذا الـ conductor نحن لدينا شحنات داخلنا نحن لدينا
+
+243
+00:16:57,610 --> 00:17:02,290
+إلكترون وبروتون عشان 
+
+244
+00:17:02,290 --> 00:17:06,650
+كده هذا الـ conductor الـ neutral أنا بدي أخليه 
+
+245
+00:17:06,650 --> 00:17:09,890
+مشهور بالتالي هو الـ neutral لكن فيش فيه شحنات؟
+
+246
+00:17:09,890 --> 00:17:13,130
+فيه فيه إلكترون وفيه بروتون زي ما احنا عارفين
+
+247
+00:17:13,130 --> 00:17:18,160
+فيش مادة خالية من الشحنات ايش بيجي أسوي؟ يقول لي
+
+248
+00:17:18,160 --> 00:17:22,160
+نولد a negative charge object في جسم مشهور، 
+
+249
+00:17:22,160 --> 00:17:26,160
+negative charge object، جسم مشهور، مش حاجة زي بقى،
+
+250
+00:17:26,160 --> 00:17:29,460
+to be brought near the conductor، قربه، without
+
+251
+00:17:29,460 --> 00:17:35,220
+touching it، ما تلمسه، من بعض، بس قربه شوية، قربه،
+
+252
+00:17:35,220 --> 00:17:40,930
+هذا جسم مشهور، قربه هيجدّت أحمر جوة فيه بروتونات و
+
+253
+00:17:40,930 --> 00:17:44,550
+فيه بروتونات كانوا ماخدين راحتهم وكل واحد رايح على
+
+254
+00:17:44,550 --> 00:17:50,510
+شجّة هو حرفياً الهادئة مؤثر جسم مشحون بشحنات سالبة
+
+255
+00:17:50,510 --> 00:17:53,950
+المعلومة اللي عندي من كلّ .. كل الشحنات الموجبة بدأت
+
+256
+00:17:53,950 --> 00:17:58,110
+تجيبهم ولا لا وكل الشحنات السالبة بتتراجع فإيه 
+
+257
+00:17:58,110 --> 00:18:02,030
+بتصير الشحنات اللي دي هو الكنكة اللحمة بدل ما
+
+258
+00:18:02,030 --> 00:18:08,190
+كانت موزّعة بيه عشوائياً بدها تقاني وعاد توزيع بحيث
+
+259
+00:18:08,190 --> 00:18:12,750
+الشحنات الموجبة بتجربت والشحنات السالبة تبعد ولا لأ
+
+260
+00:18:12,750 --> 00:18:17,130
+إذا ندّوصي الـ redistribution of charges due to the
+
+261
+00:18:17,130 --> 00:18:21,210
+attractive and repulsive forces نتيجة قوة الجذب
+
+262
+00:18:21,210 --> 00:18:25,250
+والتنافر ما بين الجسم الأزرق والشحنات اللي جوا
+
+263
+00:18:25,250 --> 00:18:31,670
+الجسم الأحمر تجاوز التنافر the charges within the
+
+264
+00:18:31,670 --> 00:18:36,750
+conductor will be redistributed سيُعاد توزيعها في
+
+265
+00:18:36,750 --> 00:18:39,010
+الأول كانت موزعة عشوائية عشوائية عشوائية عشوائية
+
+266
+00:18:39,010 --> 00:18:44,890
+الآن هتوزّع يا شباب شوف الموجب براحه والسالب براحه
+
+267
+00:18:44,890 --> 00:18:48,610
+الموجب كانت مفضلة لأن فيها attractive force والسالب
+
+268
+00:18:48,610 --> 00:18:52,490
+ابعد لأن فيه repulsive force هذيك ليش السالب
+
+269
+00:18:52,490 --> 00:18:58,310
+ما ابعدش أكتر من كده؟ when we do في وصف عازل صح ولكن 
+
+270
+00:18:58,310 --> 00:19:02,900
+هو الفراق أو الهوى يعني الطريق المسكرة قدامه والـ 
+
+271
+00:19:02,900 --> 00:19:05,560
+positive الـ negative يبقى أكتر من كده لأنه في وقت 
+
+272
+00:19:05,560 --> 00:19:10,060
+عادي فاصلة عن المؤثر وهو الجسم الأزرق إذا أنا
+
+273
+00:19:10,060 --> 00:19:14,340
+قررت إلى أقصى ما أستطيع والسائق بيقول أتعالج إلى 
+
+274
+00:19:14,340 --> 00:19:19,460
+أقصى ما أستطيع تمام؟ الـ conductor أحمر مازال 
+
+275
+00:19:19,460 --> 00:19:24,440
+نوترون ولا لأ؟ مازال نوترون انشحان؟ لا لو كان في 
+
+276
+00:19:24,440 --> 00:19:28,200
+عندي ألف بروتون وألف إلكترون زاده ولا خسه؟ لا بس ال
+
+277
+00:19:28,200 --> 00:19:33,590
+ألف إلكترون صفوا عشان ذلك ولازم البطولة تسطى عشان 
+
+278
+00:19:33,590 --> 00:19:36,890
+تجاوز نحن نقول البطولة هي الشحنات الموجبة اللي 
+
+279
+00:19:36,890 --> 00:19:39,950
+تتحول لي لكن تجاوز نحن نقولها بقى أنا اقول لك ماذا
+
+280
+00:19:39,950 --> 00:19:43,910
+ممكن تسوي احنا مش حالة أنت تحاول تخلص لك من جزء من
+
+281
+00:19:43,910 --> 00:19:47,170
+هالشحنة وعندما اتصلت بطولة أنت تحاول توزع واحد
+
+282
+00:19:47,170 --> 00:19:52,830
+لبطولة تقول هنا the conductor be grounded وصار ال
+
+283
+00:19:52,830 --> 00:19:57,950
+conductor بالأرض وصار هنا ايش صار؟ الطريقة كانت 
+
+284
+00:19:57,950 --> 00:20:01,410
+مسكرة السلك فتحني يا شباب في الـ conductor ولا الأرض 
+
+285
+00:20:01,820 --> 00:20:05,480
+فتح شبكة .. فتكون تكتر طريق سلكة هذه الإلكترونات
+
+286
+00:20:05,480 --> 00:20:09,760
+اللي جاية حد بقعد فيها ومش قادرة تبعد أكتر من كده 
+
+287
+00:20:09,760 --> 00:20:12,900
+لأن الطريق مسكرة وفتحت الطريق ايش تدوس فيها ..
+
+288
+00:20:12,900 --> 00:20:18,320
+فتدوس .. تهرب على الأرض الأرض بتاكل كل الإلكترونات
+
+289
+00:20:18,320 --> 00:20:21,900
+اللي موجودة بيقول لي .. the negative charges will
+
+290
+00:20:21,900 --> 00:20:26,420
+disappear .. وين بتروح؟ على الأرض .. ماتتتش .. لأن
+
+291
+00:20:26,420 --> 00:20:30,340
+the charge is conserved .. إذا هي راح تتفقلك من
+
+292
+00:20:30,340 --> 00:20:37,590
+الأرض أو واحدة الآن الـ conductor .. هم ممكن يخرجوا
+
+293
+00:20:37,590 --> 00:20:43,290
+بقى الـ conductor بطّل منظر لأنه في شحنات سالبة
+
+294
+00:20:43,290 --> 00:20:47,330
+راحوا من عنده إذا صارت الشحنات الموجبة أكثر من 
+
+295
+00:20:47,330 --> 00:20:50,610
+الشحنات السالبة إذا الآن بدّي أقول إن الـ conductor 
+
+296
+00:20:50,610 --> 00:20:56,270
+is charged or positively charged انتهت .. انشحن ..
+
+297
+00:20:56,270 --> 00:21:00,150
+ايش بيبضل عليك؟ قال إن أنا خلصت جدا جيب هذا السلك
+
+298
+00:21:00,150 --> 00:21:06,860
+اللي حاطيته هي تنقل المشركة من الأرض وبعدها تنقل
+
+299
+00:21:06,860 --> 00:21:08,000
+المشركة من الأرض وبعدها تنقل المشركة من الأرض و
+
+300
+00:21:08,000 --> 00:21:08,420
+بعدها تنقل المشركة من الأرض وبعدها تنقل المشركة
+
+301
+00:21:08,420 --> 00:21:14,280
+من الأرض وبعدها تنقل المشركة من الأرض وبعدها
+
+302
+00:21:14,280 --> 00:21:19,220
+تنقل
+
+303
+00:21:19,220 --> 00:21:26,200
+المشركة
+
+304
+00:21:26,200 --> 00:21:32,130
+من الأرض هذه الشحنات بتاعتها بنزّجها هيك؟ اللي كان 
+
+305
+00:21:32,130 --> 00:21:35,990
+بنزّجها وحصدها فين الله؟ اللي هو الأزرق، ايه 
+
+306
+00:21:35,990 --> 00:21:39,510
+بنصير؟ بتتوزّع عشوائي النتيجة التقرير والتقرير 
+
+307
+00:21:39,510 --> 00:21:43,570
+نتاعك، هي الشحنات متبادلة في العسكر فتقول لي due 
+
+308
+00:21:43,570 --> 00:21:47,310
+to the repulsive force between them between the 
+
+309
+00:21:47,310 --> 00:21:50,350
+positive and charges the positive and charges will 
+
+310
+00:21:50,350 --> 00:21:55,090
+be redistributed uniformly over the surface of the
+
+311
+00:21:55,090 --> 00:22:00,480
+conductor هيعاد توزيع الشحنات من عشوائية وبانضغام
+
+312
+00:22:00,480 --> 00:22:05,440
+حصيني، إذا أنا بدأت بـ conductor الليفل أخسين ب
+
+313
+00:22:05,440 --> 00:22:08,680
+conductor with positive charge، فاكر. ايه دا السيد
+
+314
+00:22:08,680 --> 00:22:11,740
+أسمكت، يعني لو احنا قتلنا المؤثر قبل فصل المؤثر، 
+
+315
+00:22:11,740 --> 00:22:16,830
+المؤثر عن الأرض، شو بيصير ذلك؟ لا بيبقى مش موجة
+
+316
+00:22:16,830 --> 00:22:19,610
+بيرجع الـ neutral لإنه بيجيه إلكترونات من الأرض
+
+317
+00:22:19,610 --> 00:22:22,310
+عيبة تمام بس احنا نجاوز اللي بيقولوا وكده إن 
+
+318
+00:22:22,310 --> 00:22:25,410
+البوطناط راحت هي البوطناط بيبقى تخرج لزمن قعدتين
+
+319
+00:22:25,410 --> 00:22:28,890
+لكن لما إلكترون يتفع من الظرّة يا شباب بصير الظرّة
+
+320
+00:22:28,890 --> 00:22:32,650
+يوم موجة فبصير وكده الشحنة بيكون كده في كل عالم
+
+321
+00:22:32,650 --> 00:22:38,030
+وكده البوطناط فيش شحنة بيكون كده فلو جينا المؤثر و
+
+322
+00:22:38,030 --> 00:22:41,290
+لسه على السليك موجود اللي كان في الأول الشحنات
+
+323
+00:22:41,290 --> 00:22:46,080
+الأول ما كانش كده احنا مهندسين بتروح، تمام؟ فهذا 
+
+324
+00:22:46,080 --> 00:22:48,600
+اللي بيصير معايا، إذا هذي عملتش حاجة متأثرة،
+
+325
+00:22:48,600 --> 00:22:51,220
+بتقول أنا بتشتغل، في موضوع بسيط يعني، في نهاية،
+
+326
+00:22:51,220 --> 00:22:54,520
+أنا اللي بدي اياها، اللي لما يكون بكتر يا شباب، يكون
+
+327
+00:22:54,520 --> 00:22:57,640
+جامبوري proportional to the square of the distance
+
+328
+00:22:57,640 --> 00:23:01,140
+between the two parties، يقول يكون ما بعتر مجلد،
+
+329
+00:23:01,140 --> 00:23:05,880
+مجلد القوة، ويبقى من القلاقة ما بين مربع المسافة،
+
+330
+00:23:05,880 --> 00:23:09,240
+مش مع المسافة نفسها، فذكركم في القاروبة من زمان
+
+331
+00:23:09,240 --> 00:23:11,140
+يبقى أف واحد، تريس،
+
+332
+00:23:32,610 --> 00:23:34,550
+صح ولا ده؟
+
+333
+00:23:42,930 --> 00:23:47,270
+هنا من هدور بتاعنا القانون المشاهر تناسب طردي بعد 
+
+334
+00:23:47,270 --> 00:23:52,590
+بدل الماسس بحط الشقلات والمسافر هي مسافر تمام؟
+
+335
+00:23:52,590 --> 00:23:56,490
+ايش الخلاف؟ إن هذه قوة الجدد دائمة صح ولا لا؟
+
+336
+00:23:56,490 --> 00:23:59,530
+القوة الكهربية ممكن تكون جدد ممكن تكون؟ تمام؟
+
+337
+00:23:59,530 --> 00:24:05,130
+تمام؟ وبالتالي هو بيقول لا إن the direction of
+
+338
+00:24:05,130 --> 00:24:08,730
+the force is along the line joining the two 
+
+339
+00:24:08,730 --> 00:24:12,050
+particles يقول لو كان عندك مين أشوفنا يا شباب ومين
+
+340
+00:24:12,050 --> 00:24:16,870
+أشوفنا وهادي بيسمّيها Q1 وهادي Q2 القوة اللي على 
+
+341
+00:24:16,870 --> 00:24:20,510
+هذه لا بيبقى تكون هيك ولا بيبقى تكون هيك صح ولا 
+
+342
+00:24:20,510 --> 00:24:24,530
+لا؟ إذا كانت ياجوبيا بيبقى تكون هيك إذا كانت كورية
+
+343
+00:24:24,530 --> 00:24:27,430
+بيبقى تكون هيك فين كانية القوة اللي على هذه تكون
+
+344
+00:24:27,430 --> 00:24:30,520
+هيك من هنا لها؟ ما فيش تانية لازم تكون على خطّ الواصل 
+
+345
+00:24:30,520 --> 00:24:34,100
+بينهم لأن هي جانب تثير قادر ما فيش تكون هيك إذا هي 
+
+346
+00:24:34,100 --> 00:24:38,000
+ما عندهم تثير قوة شخصيات أخرى صح ولا لا؟ إذا لازم 
+
+347
+00:24:38,000 --> 00:24:42,200
+القوة تكون على الخط الواصل بين الشخصيات .. ما يبقى
+
+348
+00:24:42,200 --> 00:24:45,860
+اسمها زيها دي لو كان عندي هنا أبوي وهنا أبوي هي
+
+349
+00:24:45,860 --> 00:24:49,760
+أبوي وهي أبوي هو القوة بتكون هي السوريين هنا
+
+350
+00:24:49,760 --> 00:24:53,900
+الجملة طبعا بتكون هي لازم صح ولا لا ما فيش تكون
+
+351
+00:24:53,900 --> 00:24:59,740
+ماجر حاجة معروفة كمان الخطوة الرابعة أو المرحلة 
+
+352
+00:24:59,740 --> 00:25:02,300
+الرابعة اللي أنا عارفها من زمان إن الـ force is
+
+353
+00:25:02,300 --> 00:25:06,080
+attractive if the charges are of opposite sides 
+
+354
+00:25:06,080 --> 00:25:09,900
+and repulsive تنافورية if the charges have the
+
+355
+00:25:09,900 --> 00:25:14,820
+same sides هذه شغلتها معروفة إذا بتكون تجاذبية إذا
+
+356
+00:25:14,820 --> 00:25:18,860
+كان الشحنات مختلفة وتنافورية إذا كان الشحنات
+
+357
+00:25:18,860 --> 00:25:24,820
+متشابهة هذا أربع ملاحظات بدّه يحطهم بقانون فجال
+
+358
+00:25:31,070 --> 00:25:35,790
+من هذه الملاحظات، مدينة القوة التي تعمل على محطة
+
+359
+00:25:35,790 --> 00:25:40,830
+تحزين Q1 بسبب محطة تحزين Q2 يمكن أن تكون محطة
+
+360
+00:25:40,830 --> 00:25:42,310
+تحزين كذلك
+
+361
+00:25:49,920 --> 00:25:56,320
+الرمز اللي احنا عاملينه F21 من اتنين على واحد هذه
+
+362
+00:25:56,320 --> 00:26:00,200
+القوة اللي على واحد من اتنين حسب رمز الكتاب تبعكم
+
+363
+00:26:00,200 --> 00:26:04,040
+طبعا أنا ايش باخد الـ magnitude يا شباب الآن بدي الـ
+
+364
+00:26:04,040 --> 00:26:06,860
+magnitude أنص الـ direction الـ direction بيحدده
+
+365
+00:26:06,860 --> 00:26:10,860
+repulsive or attractive بعدين بنحكي عنه بساوي K
+
+366
+00:26:10,860 --> 00:26:16,470
+ثابت التناسب بدي الـ capital G هناك الثابت K بدل M1
+
+367
+00:26:16,470 --> 00:26:20,210
+في M2 وحطينا Q1 وQ2 وفي مربع وحطينا absolute
+
+368
+00:26:20,210 --> 00:26:27,330
+values هناك مستحيل
+
+369
+00:26:27,330 --> 00:26:30,510
+يكون عندك كتلة سالبة هنا في شحنة موجبة وشحنة سالبة
+
+370
+00:26:30,510 --> 00:26:33,030
+بيقول الموجب والسالب ليس لديه دعوة بالـ magnitude 
+
+371
+00:26:33,030 --> 00:26:35,190
+أنت لما دي بالـ magnitude ليس لديك دعوة بالسالب 
+
+372
+00:26:35,190 --> 00:26:40,590
+والموجب هو attractive إذا بحدد direction ما زال أنت 
+
+3
+
+401
+00:28:42,020 --> 00:28:46,700
+power nine تسعة في عشر أقصى تسعة الوحدة بتجيبها من
+
+402
+00:28:46,700 --> 00:28:53,420
+القانوننيوتن متر تربيع على كولوم تربيع نيوتن متر
+
+403
+00:28:53,420 --> 00:28:57,080
+تربيع على كولوم تربيع والواحدة نجيبها من القانون
+
+404
+00:28:57,080 --> 00:29:01,120
+اللي أنتم عارفينه تمامًا هنا بعد الـK كان في كولوم
+
+405
+00:29:01,120 --> 00:29:05,460
+وكولوم فصلت نيوتن متر تربيع على كولوم وكولوم تربيع
+
+406
+00:29:05,460 --> 00:29:10,560
+بعدها عشان نجيب الـK تمام،  Coulombs constant is
+
+407
+00:29:10,560 --> 00:29:14,380
+usually written as .. الو صيغة ثانية هذا الـK يكتب
+
+408
+00:29:14,380 --> 00:29:19,450
+بالعلاقة التالية، مرة عليكمك، بيساوي واحد على أربعة 
+
+409
+00:29:19,450 --> 00:29:25,430
+باي إبسيلون نوت، هذا الـK بتساوي تسعة في عشر أس تسعة
+
+410
+00:29:25,430 --> 00:29:29,690
+وبتساوى واحد على أربعة إبسيلون نوت، أربعة باي أربعة
+
+411
+00:29:29,690 --> 00:29:33,930
+عارفينها والباي كلكم عارفينها، إبسيلون نوت هذا شباب
+
+412
+00:29:33,930 --> 00:29:38,410
+ثابت آخر برضه الناس حافظة الـnumerical value مع الـ
+
+413
+00:29:38,410 --> 00:29:44,950
+Epsilon Note بيساوي 8.85 في 10 أس سالب 12، إيش هو؟ وإيش
+
+414
+00:29:44,950 --> 00:29:50,390
+وحدته؟ أولًا، إيش هو الـK لقطة كـوحدة؟ مقلوبة
+
+415
+00:29:50,390 --> 00:29:54,730
+إذا المفروض يكون كولوم تربيع على نيوتن متر تربيع ولا
+
+416
+00:29:54,730 --> 00:30:00,170
+لا؟ إذا نهاية وحدته، طب الشيء هذا، هذا بيسموه الـ
+
+417
+00:30:00,170 --> 00:30:04,750
+permittivity of free space ثابت النفاذية الكهربية
+
+418
+00:30:04,750 --> 00:30:09,910
+للفراغ، ثابت المفاذية الكهربائية، permativity جاية من
+
+419
+00:30:09,910 --> 00:30:14,950
+كلمة permit يسمح أو ينفذ، permittivity of a free
+
+420
+00:30:14,950 --> 00:30:18,070
+space هذا ثابت هيمر علينا برضه، الـepsilon note
+
+421
+00:30:18,070 --> 00:30:23,270
+كثابت من الثوابت، فـone over four by epsilon note هو
+
+422
+00:30:23,270 --> 00:30:27,490
+الـK هو Coulomb's constant، واضح شباب؟ هذه برضه كل
+
+423
+00:30:27,490 --> 00:30:30,660
+هذه المعلومات بتتجمع عندنا، ما في عندها مشكلة، هذا
+
+424
+00:30:30,660 --> 00:30:34,800
+الـS.I. System، الـS.I. System اللي هنستخدمه
+
+425
+00:30:34,800 --> 00:30:38,580
+through all our book في الـsystem الثاني اللي هو
+
+426
+00:30:38,580 --> 00:30:42,960
+الـCGS System أو الـGaussian System، هذا الـcharge
+
+427
+00:30:42,960 --> 00:30:49,940
+وحدتها statcoulomb أو بيسموها electrostatic unit
+
+428
+00:30:49,940 --> 00:30:53,060
+ESU
+
+429
+00:30:53,060 --> 00:30:57,000
+ما هي دعوة؟ مش هنستخدمها كثير، هذا بالعلم، في هذا الـ
+
+430
+00:30:57,000 --> 00:31:00,960
+system في الـGaussian system شباب، K بصير مقدارها
+
+431
+00:31:00,960 --> 00:31:04,820
+واحد وما لهاش وحدات، بصير عشان كده في بعض الكتب
+
+432
+00:31:04,820 --> 00:31:08,440
+المتقدمة بيحبوا يستخدموا هذا الـsystem لسهولة الـ
+
+433
+00:31:08,440 --> 00:31:12,140
+units عندهم، بصير في بعض الثوابت متساوي واحد، برايحين
+
+434
+00:31:12,140 --> 00:31:16,040
+حالهم، اهلا، مش هنستخدمه هذا، هنستخدم الـSI system والـ
+
+435
+00:31:16,040 --> 00:31:19,620
+K بتساوي 9 في 10 أس 9 وبتساوي 1 على 4
+
+436
+00:31:19,620 --> 00:31:23,240
+باي إبسيلون نوت العادي، هذا بس مجرد للعلم
+
+437
+00:31:26,910 --> 00:31:29,430
+احنا جبنا الـmagnitude تبع الـforce والـ
+
+438
+00:31:29,430 --> 00:31:33,350
+direction نجيبه من الـattractive والـrepulsive
+
+439
+00:31:33,350 --> 00:31:38,370
+لكن ممكن نكتب قانون كولوم كـvector form يجيب لي
+
+440
+00:31:38,370 --> 00:31:41,870
+الاتجاه والمقدار وخلاص وأنا مغمض، لا أطلع
+
+441
+00:31:41,870 --> 00:31:44,910
+attractive ولا repulsive،  أعود تعويض مباشر تطلع
+
+442
+00:31:44,910 --> 00:31:49,230
+عندي الاتجاه والمقدار، in vector form، Coulomb's 
+
+443
+00:31:49,230 --> 00:31:54,550
+law can be written as، هاي أف حطيت اتجاه، هرجت، ما فيش 
+
+444
+00:31:54,550 --> 00:32:00,160
+الـabsolute valueكيكي، والمقام، مقام هنا بطل في
+
+445
+00:32:00,160 --> 00:32:02,820
+absolute values لأنه أنا بدي الاتجاه و
+
+446
+00:32:02,820 --> 00:32:07,140
+المقدار بنفس اللحظة، عشان هذا vector لازم الطرف
+
+447
+00:32:07,140 --> 00:32:12,520
+الآخر من المعادلة يكون vector، هذا scalar، هذا q
+
+448
+00:32:12,520 --> 00:32:17,440
+scalar وهذا distance scalar، إذا إيش بدي أحط؟ بدي
+
+449
+00:32:17,440 --> 00:32:21,660
+أحط unit vector، فهذا unit vector ذاكرين الـI والـJ؟
+
+450
+00:32:22,070 --> 00:32:26,430
+أخذنا الـI وقلنا I directed along the positive x
+
+451
+00:32:26,430 --> 00:32:31,430
+axis والـJ directed along the positive y axis، في
+
+452
+00:32:31,430 --> 00:32:34,770
+عندي unit vector آخر أخذناه في الـcircular motion
+
+453
+00:32:34,770 --> 00:32:38,850
+اللي هو الـR directed along the radius، صح ولا لأ؟
+
+454
+00:32:39,290 --> 00:32:44,230
+تمام، والradius ميزته أنه بيلف و يلف، مرة بيكون
+
+455
+00:32:44,230 --> 00:32:46,770
+سيني ومرة بيكون صادِي ومرة بيكون لا هو سيني ولا
+
+456
+00:32:46,770 --> 00:32:51,210
+هو صادِي، فهذا الـR بنحطه لأنه لما يكون الشحنتين هيك
+
+457
+00:32:51,210 --> 00:32:55,590
+شباب، بتكون الـR unit vector سينية ولا لا؟ لا سينية
+
+458
+00:32:55,590 --> 00:32:59,470
+مجرد لا سيني سالب، لو كان الشحن هنا القوة بين هدول
+
+459
+00:32:59,470 --> 00:33:02,710
+بيكون صادِي لكن عندما يكون الشحن هنا لا هي سيني ولا
+
+460
+00:33:02,710 --> 00:33:09,400
+صادِي، صح ولا لا؟ فبحطه R، ولما يروح R يروح تمامًا الآن
+
+461
+00:33:09,400 --> 00:33:13,640
+هيكيو اتنين وهيكيو واحد، المسافة اللي بينهم r اتنين
+
+462
+00:33:13,640 --> 00:33:16,680
+واحد زي ما أنتم شايفيني، لا هي سينية ولا هي صادية
+
+463
+00:33:16,680 --> 00:33:21,200
+in between the y axis and the x axis، بالتالي
+
+464
+00:33:21,200 --> 00:33:24,860
+الاتجاه بتبقى هيك، فهذه بسموه باتجاه الـR يعني الـ
+
+465
+00:33:24,860 --> 00:33:28,100
+unit vector باتجاه الـR تمام، هتجيه الشباب يطلعوا
+
+466
+00:33:28,100 --> 00:33:33,000
+على القانون، لو كان الشحنتين موجبات الجواب موجب ولا
+
+467
+00:33:33,000 --> 00:33:38,070
+سالب؟ لو كان الشحنتين سالبات، التنتين، الجواب موجب.
+
+468
+00:33:38,210 --> 00:33:42,550
+طيب، لما يقول موجبات التنتين القوة تنافرية، صح؟
+
+469
+00:33:42,550 --> 00:33:45,370
+ولو كانوا التنتين سالبات، برضه تنافرية، يعني
+
+470
+00:33:45,370 --> 00:33:48,750
+الاتجاه ما اتغيرش، القانون جابها. طيب، لو كانت
+
+471
+00:33:48,750 --> 00:33:51,490
+واحدة موجبة وواحدة سالبة، إيش بيصير الجواب؟ سالب.
+
+472
+00:33:51,930 --> 00:33:54,490
+والسالب لما يفوت على الـunit vector، إيش بيسوي فيه
+
+473
+00:33:54,490 --> 00:33:57,570
+في الـvector؟ بيعكس اتجاهه، بعد ما هو تنافر، إيش
+
+474
+00:33:57,570 --> 00:34:00,950
+بيصير؟ تجاذبي، إذا هذا القانون بيجيب لي تنافرًا أو
+
+475
+00:34:00,950 --> 00:34:04,720
+تجاذبًا، يعني بمعنى آخر، لو كانت تنتين هدول موجبات،
+
+476
+00:34:04,720 --> 00:34:08,760
+هي الاتجاه على Q1، لو كانوا Q2 وQ1 سالبات، هي
+
+477
+00:34:08,760 --> 00:34:11,640
+الاتجاه، لو واحدة منها واحد سالباش، بتصير بالعكس
+
+478
+00:34:11,640 --> 00:34:15,000
+لك، بتصير تجاذبية، صح أو لا؟ وهذا القانون بيجيبها
+
+479
+00:34:15,000 --> 00:34:20,000
+R21 زي ما هي مبينة في الرسمة، is a unit vector
+
+480
+00:34:20,000 --> 00:34:23,640
+directed from Q2 لـQ1، اتجاه الأخضر اللي شايفينه
+
+481
+00:34:23,640 --> 00:34:28,170
+السهم، هذا اتجاه الـunit vector، يجب أن نلاحظ أن
+
+482
+00:34:28,170 --> 00:34:34,550
+القوة الكهربائية تشبه شكل
+
+483
+00:34:34,550 --> 00:34:37,690
+هذا الشكل ولا لا شباب؟ واضح أن الشكل تشبه هذا
+
+484
+00:34:37,690 --> 00:34:44,610
+الشكل، إذا كانت القوة الكهربائية محفوظة وما زال
+
+485
+00:34:44,610 --> 00:34:50,380
+القوة الكهربية تشبهها كشكل، غيادي، أقدر أقول إن قوة
+
+486
+00:34:50,380 --> 00:34:55,060
+الكهربائية قوة محافظة، إذا الآن المعلومة اللي عندي
+
+487
+00:34:55,060 --> 00:34:59,760
+أن القوة الكهربائية شباب قوة محافظة، لأن شباب أنتم
+
+488
+00:34:59,760 --> 00:35:02,000
+عارفين القوة المحافظة، احنا إيش اثبتناها كيف
+
+489
+00:35:02,000 --> 00:35:06,140
+اثبتناها؟ قلنا أن الـwork تبح لا يعتمد على المسار
+
+490
+00:35:06,140 --> 00:35:12,000
+والـwork عبارة عن قوة Dot DS مع إزاحة، Dot وDot
+
+491
+00:35:12,760 --> 00:35:17,600
+إذا الـDS ماهي DS إذا هي ما تغيرتش، إذا القوة كشكل
+
+492
+00:35:17,600 --> 00:35:22,040
+بتشبه شكل القوة الجاذبة، لها إذا المفروض يكون نفس
+
+493
+00:35:22,040 --> 00:35:25,500
+القضية لإن أنا بعمل product وبجيب work، إذا نجيت
+
+494
+00:35:25,500 --> 00:35:28,300
+الـwork اللي هي أتمد على المصاد، إذا مجرد عنها قوة
+
+495
+00:35:28,300 --> 00:35:32,900
+محافظة، طبعًا في الـcalculus في طريقة أخرى لإثبات إن
+
+496
+00:35:32,900 --> 00:35:36,680
+هذا الـfunction conservative، بجيب الـcurl في حد ما
+
+497
+00:35:36,680 --> 00:35:42,110
+أخذ الـcalculus معايا، أحسن، في حاجة بسموها curl تبع
+
+498
+00:35:42,110 --> 00:35:46,550
+الـvector، إذا أنا هذا الـcurl أو بسموه حاجة زي هيك
+
+499
+00:35:48,790 --> 00:35:52,050
+إذا هذا صفر، بقول عنه conservative، هذه طريقة
+
+500
+00:35:52,050 --> 00:35:54,770
+أخرى، بالتالي بيعتمد على الـfunction اللي كان ما
+
+501
+00:35:54,770 --> 00:35:59,110
+زال الـfunction واحد، إذا بتوقع إنه بالتناظر ما زال
+
+502
+00:35:59,110 --> 00:36:02,670
+هذه القوة conservative، إذا القوة الكهربائية أيضًا
+
+503
+00:36:02,670 --> 00:36:06,270
+conservative لأنها لنفس الـform كـfunction، بس مجرد
+
+504
+00:36:06,270 --> 00:36:09,610
+بدي الـX حطيت Y ولا بدي الـX حطيت U، يعني مجرد تغيير
+
+505
+00:36:09,610 --> 00:36:13,490
+رموز، بدي الـM حطيت Q، ما فيش تغيير كـfunction
+
+506
+00:36:13,490 --> 00:36:16,750
+وبالتالي أنا بدي أستنتج الآن شباب أن القوة
+
+507
+00:36:16,750 --> 00:36:20,920
+الكهربائية conservative، الآن لدينا ثلاثة قوات
+
+508
+00:36:20,920 --> 00:36:26,920
+محافظة، قوة الجاذبية وقوة الشمس، ذاكرينهم اثنين
+
+509
+00:36:26,920 --> 00:36:30,980
+هدول؟ الثالث هو القوة الإلكترونية، هي قوة محافظة
+
+510
+00:36:30,980 --> 00:36:37,720
+تمام، تمام، لو في عندي شحنتين بقدر أجيب
+
+511
+00:36:37,720 --> 00:36:41,480
+القوة، طب لو عندي خمس شحنات وبدك القوة على شحنة
+
+512
+00:36:41,480 --> 00:36:45,470
+معينة، إيش بدي أسوي؟ عشان أجيب هي بتتأثر بس بشحنة
+
+513
+00:36:45,470 --> 00:36:48,570
+ولا بتتأثر بأربع شحنات اللي حوالها؟ بأربع شحنات
+
+514
+00:36:48,570 --> 00:36:52,030
+لإن هي محاطة بشحنات كثيرة، كيف يجيب القوة اللي
+
+515
+00:36:52,030 --> 00:36:55,330
+عليها؟ بجيب واحدة واحدة، جيب القوة من الأولى والقوة من
+
+516
+00:36:55,330 --> 00:36:57,450
+الثانية والقوة من الثالثة والقوة من
+
+517
+00:36:57,450 --> 00:37:01,790
+الرابعة بعدين اجمعها، بس بتجمع vectors ولا scalars؟
+
+518
+00:37:01,790 --> 00:37:07,930
+vectors، three plus four may be five not seven صح
+
+519
+00:37:07,930 --> 00:37:11,610
+ولا لأ؟ تلاتة وأربعة ما هي السبعة بالضرورة، ممكن
+
+520
+00:37:11,610 --> 00:37:15,470
+يطلع خمسة، لو واحدة سينية لو واحدة صادية في فيفا
+
+521
+00:37:15,470 --> 00:37:19,090
+ورس بتطلع لي خمسة، تلاتة وأربعة، وبالتالي الجمع
+
+522
+00:37:19,090 --> 00:37:23,310
+عشانك تتعامل مع vectors بيكون vector sum، فاقول if
+
+523
+00:37:23,310 --> 00:37:25,930
+there are more than two charges
+
+524
+00:37:28,500 --> 00:37:37,180
+الجمع الاتجاهي، الجمع الاتجاهي، الجمع الاتجاهي، الجمع
+
+525
+00:37:37,180 --> 00:37:38,960
+الاتجاهي، الجمع الاتجاهي، الجمع الاتجاهي، الجمع
+
+526
+00:37:38,960 --> 00:37:39,580
+الاتجاهي، الجمع الاتجاهي، الجمع الاتجاهي، الجمع
+
+527
+00:37:39,580 --> 00:37:39,700
+الاتجاهي، الجمع الاتجاهي، الجمع الاتجاهي، الجمع
+
+528
+00:37:39,700 --> 00:37:39,780
+الاتجاهي، الجمع الاتجاهي، الجمع الاتجاهي، الجمع
+
+529
+00:37:39,780 --> 00:37:39,820
+الاتجاهي، الجمع الاتجاهي، الجمع الاتجاهي، الجمع
+
+530
+00:37:39,820 --> 00:37:41,980
+الاتجاهي، الجمع الاتجاهي، الجمع الاتجاهي، الجمع
+
+531
+00:37:41,980 --> 0:37:45,890
+الاتجاهي، بقول for example if we have three charges
+
+532
+00:37:45,890 --> 00:37:50,010
+then the net force on particle one due to the
+
+533
+00:37:50,010 --> 00:37:53,490
+other two particles is given as، بيصير عندك F واحد
+
+534
+00:37:53,490 --> 00:37:59,560
+بيساو F اتنين واحد وF تلاتة واحد، وأقفل على واحد
+
+535
+00:37:59,560 --> 00:38:02,920
+من تلاتة، اجمعهم كـvectors بتطلع عندك القوة
+
+536
+00:38:02,920 --> 00:38:07,740
+الإجمالية، وهذا مثال عملناه على الـmasses برضه، شغلة
+
+537
+00:38:07,740 --> 00:38:11,380
+سهلة، إن أنا بديّب واحدة واحدة، بديّب الاتجاه وبديّب
+
+538
+00:38:11,380 --> 00:38:14,700
+المقدار، وبعدين الفيديو تحليل بحلله وبكتبه كـ
+
+539
+00:38:14,700 --> 00:38:19,320
+vector بدلالة الـI والـJ وبجمعهم زي ما أخذنا في
+
+540
+00:38:19,320 --> 00:38:23,300
+chapter one in physics، a plus b كيف بدي أجمع two
+
+541
+00:38:23,300 --> 00:38:26,680
+vectors وهنا بدي أجمع two vectors، the first force
+
+542
+00:38:26,680 --> 00:38:31,080
+and the second force وفي عندي أكثر بضم ماشي معاهم
+
+543
+00:38:31,080 --> 00:38:38,710
+بهذا الكمّية، بيقول remember that the electric force
+
+544
+00:38:38,710 --> 00:38:44,010
+obeys Newton's third law، دائمًا القوة اللي انطبق
+
+545
+00:38:44,010 --> 00:38:47,530
+عليها قوانين نيوتن الثلاثة، شباب، the first law، the
+
+546
+00:38:47,530 --> 00:38:52,630
+second law and the third law، إنه يقول فعل ورد فعل
+
+547
+00:38:52,630 --> 00:38:55,890
+مساوي له في المقدار ومضاد له في الاتجاه، إذا معناته
+
+548
+00:38:55,890 --> 00:39:02,410
+هي Q1 وQ2 إذا Q1 تتأثر بـQ2 لابد إن Q2 تتأثر بـQ1
+
+549
+00:39:02,410 --> 00:39:10,050
+بنفس القوة بس اتجاه معاكس، F21 وهي F12 عكس
+
+550
+00:39:10,050 --> 00:39:15,690
+الثانية، لو Q1 عشرة وQ2 خمسة، معناته القوة الأولى
+
+551
+00:39:15,690 --> 00:39:21,060
+بتكون أكبر من الثانية؟ لأ لازم متساويات بغض النظر
+
+552
+00:39:21,060 --> 00:39:24,700
+عن مقدار الشحنات، أنا مرات كثير بدي بالـquizzes إنه
+
+553
+00:39:24,700 --> 00:39:28,120
+أنا عندي two charges، واحدة عشرة وواحدة خمسة بقول لك
+
+554
+00:39:28,120 --> 00:39:31,520
+اللي بتأثر على العشرة من الخمسة 15 نيوتن، طيب
+
+555
+00:39:31,520 --> 00:39:35,380
+إذا اللي بتأثر على الخمسة من العشرة 10 ولا 5
+
+556
+00:39:35,380 --> 00:39:39,880
+ولا 20؟ 10 بس الاتجاه بيكون معاكس، إذا ما لكش
+
+557
+00:39:39,880 --> 00:39:44,100
+دعوة بالمقدار لازم يكون القوتين متساويتين in
+
+558
+00:39:44,100 --> 00:39:49,250
+magnitude and opposite in direction، يعني F21
+
+559
+00:39:49,250 --> 00:39:54,130
+بالسوية سالب بقى F12، والسالب هذا بيعني opposite
+
+560
+00:39:54,130 --> 00:39:57,990
+in direction، لكن المساواة يعني in magnitude they
+
+561
+00:39:57,990 --> 00:40:02,860
+are equal، وهذا نيوتن الثالث اللي موجود عندنا، آخر
+
+562
+00:40:02,860 --> 00:40:07,140
+حاجة هنتعامل معها، بيقول ليه؟ Coulomb's law applies
+
+563
+00:40:07,140 --> 00:40:11,360
+only for pointed charges، هذا قانون كولوم عشان
+
+564
+00:40:11,360 --> 00:40:13,920
+ينطبق فقط على الـpointed charges، إيش يعني pointed
+
+565
+00:40:13,920 --> 00:40:18,760
+charge؟ يعني حجمها بحجم النقطة، ليش المشكلة بتصير؟
+
+566
+00:40:18,760 --> 00:40:21,900
+بيقول لي لما يكون نقطة ونقطة بفي درجة بالمسافة
+
+567
+00:40:21,900 --> 00:40:27,420
+شباب، من هالهال، لكن لو جالك في عندك كرة وفي عندك
+
+568
+00:40:27,420 --> 00:40:32,740
+خلينا نقول ورقة زي هيك، هذه مشحونة وهذه مشحونة واحد
+
+569
+00:40:32,740 --> 00:40:36,660
+قال لك أو جد الـforce، لما
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e5ad39759369dcbc02cd497faac4438a1f71a3a2
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/DpuZshEtsyk_raw.json
@@ -0,0 +1 @@
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"end": 466.97, "word": " ان", "probability": 0.8603515625}, {"start": 466.97, "end": 467.55, "word": " Epsilon", "probability": 0.4635009765625}, {"start": 467.55, "end": 468.13, "word": " تساوي", "probability": 0.9261474609375}, {"start": 468.13, "end": 468.41, "word": " فرق", "probability": 0.9508463541666666}, {"start": 468.41, "end": 468.69, "word": " الجود", "probability": 0.71484375}, {"start": 468.69, "end": 468.83, "word": " من", "probability": 0.365234375}, {"start": 468.83, "end": 469.19, "word": " طرفين", "probability": 0.72705078125}, {"start": 469.19, "end": 469.59, "word": " ضغطانيا", "probability": 0.5957763671875}, {"start": 469.59, "end": 469.69, "word": " في", "probability": 0.87744140625}, {"start": 469.69, "end": 470.19, "word": " الدوائر", "probability": 0.945556640625}, {"start": 470.19, "end": 471.39, "word": " المفتوحة", "probability": 0.9938151041666666}], "temperature": 1.0}, {"id": 22, "seek": 48779, "start": 472.63, "end": 487.79, "text": "من هذه المقارنة، من الواضح أن الـ Inf هو مقارنة بطارية البطارية في مقارنة مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة مفتوحة", "tokens": [27842, 29538, 9673, 4587, 9640, 1863, 3660, 12399, 9154, 2423, 2407, 46958, 5016, 14739, 2423, 39184, 11537, 31439, 3714, 4587, 9640, 1863, 3660, 4724, 9566, 9640, 10632, 29739, 9566, 9640, 10632, 8978, 3714, 4587, 9640, 1863, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660, 3714, 5172, 2655, 2407, 5016, 3660], "avg_logprob": -0.45991847664117813, "compression_ratio": 2.520408163265306, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 472.63, "end": 473.23, "word": "من", "probability": 0.6767578125}, {"start": 473.23, "end": 473.47, "word": " هذه", "probability": 0.6484375}, {"start": 473.47, "end": 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اللي هي هذه و في الآخر بالنسبالي ان المقاومة هذه هي مقاومة بعملها زي اي معاملة هذه بتكون رقمها صغير و هذه رقم كبير مش قضية", "tokens": [3555, 2655, 30544, 2423, 691, 4032, 462, 4724, 3794, 2407, 3660, 45030, 11242, 23032, 3555, 3615, 995, 29538, 12174, 7649, 11536, 1975, 5016, 8315, 32771, 6027, 3555, 995, 20666, 7187, 1975, 17082, 46152, 16247, 3794, 19986, 37977, 39896, 39648, 4117, 16472, 29739, 9566, 9640, 10632, 3714, 4587, 995, 20498, 2655, 11296, 32748, 47283, 1211, 10632, 3714, 16095, 37977, 6156, 17082, 6027, 3555, 995, 9673, 4587, 995, 20498, 9307, 32748, 47283, 1211, 10632, 8032, 2655, 30544, 4018, 13672, 1829, 39896, 29538, 4032, 8978, 6024, 95, 34740, 20666, 1863, 35457, 6027, 1829, 16472, 9673, 4587, 995, 20498, 3660, 29538, 39896, 3714, 4587, 995, 20498, 3660, 4724, 25957, 1211, 11296, 30767, 1829, 1975, 1829, 20449, 10943, 37977, 29538, 39894, 30544, 12602, 4587, 2304, 11296, 20328, 17082, 13546, 4032, 29538, 12602, 4587, 2304, 9122, 3555, 13546, 37893, 12174, 11242, 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فغالبا", "probability": 0.98974609375}, {"start": 498.95, "end": 499.53, "word": " المقاومات", "probability": 0.91474609375}, {"start": 499.53, "end": 499.93, "word": " الداخلية", "probability": 0.99267578125}, {"start": 499.93, "end": 500.27, "word": " هتكون", "probability": 0.9309895833333334}, {"start": 500.27, "end": 500.61, "word": " zero", "probability": 0.4013671875}, {"start": 500.61, "end": 501.15, "word": " اللي", "probability": 0.84375}, {"start": 501.15, "end": 501.35, "word": " هي", "probability": 0.75390625}, {"start": 501.35, "end": 501.63, "word": " هذه", "probability": 0.80078125}, {"start": 501.63, "end": 502.23, "word": " و", "probability": 0.80078125}, {"start": 502.23, "end": 502.35, "word": " في", "probability": 0.505859375}, {"start": 502.35, "end": 502.67, "word": " الآخر", "probability": 0.8163248697916666}, {"start": 502.67, "end": 503.09, "word": " بالنسبالي", "probability": 0.88916015625}, {"start": 503.09, "end": 503.21, "word": " ان", "probability": 0.8349609375}, {"start": 503.21, "end": 504.25, "word": " المقاومة", "probability": 0.9890625}, {"start": 504.25, "end": 504.55, "word": " هذه", "probability": 0.7548828125}, {"start": 504.55, "end": 504.79, "word": " هي", "probability": 0.83251953125}, {"start": 504.79, "end": 505.43, "word": " مقاومة", "probability": 0.98974609375}, {"start": 505.43, "end": 506.11, "word": " بعملها", "probability": 0.9078369140625}, {"start": 506.11, "end": 506.23, "word": " زي", "probability": 0.863525390625}, {"start": 506.23, "end": 506.31, "word": " اي", "probability": 0.829345703125}, {"start": 506.31, "end": 506.79, "word": " معاملة", "probability": 0.9720052083333334}, {"start": 506.79, "end": 507.21, "word": " هذه", "probability": 0.76904296875}, {"start": 507.21, "end": 507.53, "word": " بتكون", "probability": 0.766357421875}, {"start": 507.53, "end": 507.91, "word": " رقمها", "probability": 0.9473876953125}, {"start": 507.91, "end": 508.15, "word": " صغير", "probability": 0.9677734375}, {"start": 508.15, "end": 508.21, "word": " و", "probability": 0.63818359375}, {"start": 508.21, "end": 508.31, "word": " هذه", "probability": 0.51806640625}, {"start": 508.31, "end": 508.55, "word": " رقم", "probability": 0.98486328125}, {"start": 508.55, "end": 508.81, "word": " كبير", "probability": 0.9845377604166666}, {"start": 508.81, "end": 508.95, "word": " مش", "probability": 0.95068359375}, {"start": 508.95, "end": 509.35, "word": " قضية", "probability": 0.916015625}], "temperature": 1.0}, {"id": 24, "seek": 53804, "start": 509.57, "end": 538.05, "text": "لكن في النهاية دي مقاومتنا متواصلة على التوالي وبتعامل معهم على هذه الأساس وباقتل القوانين اللي لها معنى أننا نحفظها كقوانين عامة هي قوانين نشتغلها وبترتبط بباقي القوانين تبعات الشبطة طبعا برضه هنا بنقدر نقول ان VAB وVCD بيسووا بعضى ولا لأ يا شباب هل VAB بيسووا VCD ولا لأ", "tokens": [1211, 19452, 8978, 28239, 11296, 10632, 11778, 1829, 3714, 4587, 995, 20498, 2655, 8315, 44650, 2407, 33546, 37977, 15844, 16712, 2407, 6027, 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resistance we conclude that the voltage V must always equal the potential across the load resistor that is V بالسوء I في الار اللي انا حاطيته هناك ومنها", "tokens": [2407, 3224, 2407, 23032, 3555, 3615, 995, 19446, 3224, 1829, 13412, 17082, 37977, 9154, 9566, 4587, 10632, 31439, 25961, 3714, 4587, 995, 20498, 3660, 8978, 32748, 16373, 25720, 8978, 6024, 95, 34740, 6055, 29399, 3224, 1829, 9122, 15042, 33427, 36520, 9957, 15844, 16712, 2407, 6027, 1829, 46599, 6027, 2655, 6027, 1829, 4032, 41361, 8032, 2304, 6225, 9640, 4587, 4032, 2304, 7435, 2304, 2407, 5016, 46811, 10943, 6156, 3555, 39648, 32239, 412, 264, 11015, 15537, 362, 572, 7335, 321, 16886, 300, 264, 8352, 691, 1633, 1009, 2681, 264, 3995, 2108, 264, 3677, 37672, 300, 307, 691, 20666, 3794, 2407, 38207, 286, 8978, 2423, 9640, 13672, 1829, 1975, 8315, 11331, 41193, 36081, 3224, 34105, 4117, 4032, 27842, 11296], "avg_logprob": -0.34428419312860215, "compression_ratio": 1.6035087719298247, "no_speech_prob": 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580.77, "end": 581.13, "word": " voltage", "probability": 0.80126953125}, {"start": 581.13, "end": 581.41, "word": " V", "probability": 0.52294921875}, {"start": 581.41, "end": 581.99, "word": " must", "probability": 0.8720703125}, {"start": 581.99, "end": 582.39, "word": " always", "probability": 0.90576171875}, {"start": 582.39, "end": 582.89, "word": " equal", "probability": 0.90087890625}, {"start": 582.89, "end": 583.37, "word": " the", "probability": 0.90234375}, {"start": 583.37, "end": 583.83, "word": " potential", "probability": 0.91064453125}, {"start": 583.83, "end": 584.47, "word": " across", "probability": 0.88818359375}, {"start": 584.47, "end": 584.81, "word": " the", "probability": 0.8857421875}, {"start": 584.81, "end": 584.99, "word": " load", "probability": 0.8525390625}, {"start": 584.99, "end": 585.43, "word": " resistor", "probability": 0.91845703125}, {"start": 585.43, "end": 585.71, "word": " that", "probability": 0.79296875}, {"start": 585.71, "end": 585.93, "word": " is", "probability": 0.95166015625}, {"start": 585.93, "end": 586.05, "word": " V", "probability": 0.7802734375}, {"start": 586.05, "end": 586.37, "word": " بالسوء", "probability": 0.46026611328125}, {"start": 586.37, "end": 586.53, "word": " I", "probability": 0.92919921875}, {"start": 586.53, "end": 586.65, "word": " في", "probability": 0.83251953125}, {"start": 586.65, "end": 586.97, "word": " الار", "probability": 0.71240234375}, {"start": 586.97, "end": 587.39, "word": " اللي", "probability": 0.83251953125}, {"start": 587.39, "end": 587.51, "word": " انا", "probability": 0.6484375}, {"start": 587.51, "end": 587.87, "word": " حاطيته", "probability": 0.7366943359375}, {"start": 587.87, "end": 588.35, "word": " هناك", "probability": 0.932861328125}, {"start": 588.35, "end": 589.15, "word": " ومنها", "probability": 0.8878580729166666}], "temperature": 1.0}, {"id": 27, "seek": 61624, "start": 598.86, "end": 616.24, "text": "مثال بسيط على هالقضية بيقول لأ battery has an inf of 12 volt and an internal resistance of 0.05 ohm its terminals are connected to a load resistance of 3 ohm طبعا واضح ان ال internal resistance دايما بتكون صغيرة 0.05", "tokens": [2304, 12984, 6027, 4724, 3794, 1829, 9566, 15844, 8032, 6027, 4587, 11242, 10632, 4724, 1829, 39648, 5296, 10721, 5809, 575, 364, 1536, 295, 2272, 5962, 293, 364, 6920, 7335, 295, 1958, 13, 13328, 1954, 76, 1080, 38579, 366, 4582, 281, 257, 3677, 7335, 295, 805, 1954, 76, 23032, 3555, 3615, 995, 4032, 46958, 5016, 16472, 2423, 6920, 7335, 11778, 47302, 15042, 39894, 30544, 20328, 17082, 48923, 1958, 13, 13328], "avg_logprob": -0.2917410569531577, "compression_ratio": 1.4031413612565444, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 598.86, "end": 599.62, "word": "مثال", "probability": 0.6439107259114584}, {"start": 599.62, "end": 600.02, "word": " بسيط", "probability": 0.9676513671875}, {"start": 600.02, "end": 600.18, "word": " على", "probability": 0.5927734375}, {"start": 600.18, "end": 601.1, "word": " هالقضية", "probability": 0.7966796875}, {"start": 601.1, "end": 601.62, "word": " بيقول", "probability": 0.7403157552083334}, {"start": 601.62, "end": 601.78, "word": " لأ", "probability": 0.4296875}, {"start": 601.78, "end": 602.08, "word": " battery", "probability": 0.293212890625}, {"start": 602.08, "end": 602.46, "word": " has", "probability": 0.87841796875}, {"start": 602.46, "end": 602.78, "word": " an", "probability": 0.73828125}, {"start": 602.78, "end": 603.12, "word": " inf", "probability": 0.29345703125}, {"start": 603.12, "end": 603.36, "word": " of", "probability": 0.916015625}, {"start": 603.36, "end": 603.8, "word": " 12", "probability": 0.80810546875}, {"start": 603.8, "end": 604.42, "word": " volt", "probability": 0.495849609375}, {"start": 604.42, "end": 605.18, "word": " and", "probability": 0.83056640625}, {"start": 605.18, "end": 605.56, "word": " an", "probability": 0.75732421875}, {"start": 605.56, "end": 606.1, "word": " internal", "probability": 0.7783203125}, {"start": 606.1, "end": 606.84, "word": " resistance", "probability": 0.95263671875}, {"start": 606.84, "end": 607.08, "word": " of", "probability": 0.9560546875}, {"start": 607.08, "end": 607.28, "word": " 0", "probability": 0.94921875}, {"start": 607.28, "end": 607.9, "word": ".05", "probability": 0.96240234375}, {"start": 607.9, "end": 608.58, "word": " ohm", "probability": 0.583251953125}, {"start": 608.58, "end": 609.04, "word": " its", "probability": 0.416015625}, {"start": 609.04, "end": 609.56, "word": " terminals", "probability": 0.86083984375}, {"start": 609.56, "end": 609.96, "word": " are", "probability": 0.9345703125}, {"start": 609.96, "end": 610.38, "word": " connected", "probability": 0.86669921875}, {"start": 610.38, "end": 610.62, "word": " to", "probability": 0.97314453125}, {"start": 610.62, "end": 610.78, "word": " a", "probability": 0.94775390625}, {"start": 610.78, "end": 610.96, "word": " load", "probability": 0.953125}, {"start": 610.96, "end": 611.56, "word": " resistance", "probability": 0.919921875}, {"start": 611.56, "end": 611.86, "word": " of", "probability": 0.96875}, {"start": 611.86, "end": 612.12, "word": " 3", "probability": 0.87646484375}, {"start": 612.12, "end": 612.6, "word": " ohm", "probability": 0.736328125}, {"start": 612.6, "end": 612.92, "word": " طبعا", "probability": 0.9222412109375}, {"start": 612.92, "end": 613.22, "word": " واضح", "probability": 0.9503580729166666}, {"start": 613.22, "end": 613.36, "word": " ان", "probability": 0.56640625}, {"start": 613.36, "end": 613.52, "word": " ال", "probability": 0.79833984375}, {"start": 613.52, "end": 613.88, "word": " internal", "probability": 0.66943359375}, {"start": 613.88, "end": 614.38, "word": " resistance", "probability": 0.958984375}, {"start": 614.38, "end": 614.66, "word": " دايما", "probability": 0.8649088541666666}, {"start": 614.66, "end": 615.0, "word": " بتكون", "probability": 0.946533203125}, {"start": 615.0, "end": 615.38, "word": " صغيرة", "probability": 0.9816080729166666}, {"start": 615.38, "end": 615.7, "word": " 0", "probability": 0.90283203125}, {"start": 615.7, "end": 616.24, "word": ".05", "probability": 0.978515625}], "temperature": 1.0}, {"id": 28, "seek": 63704, "start": 617.05, "end": 637.05, "text": "ولكن المقاومة الخارجية اللي هي جهاز أبقى عن تلاتة ومش بده بيقول find I بده الطيارة and the terminal voltage of the battery و بده فرق جودة بين ثلاثية بطارية هنشوف إنه بيستويش 12 volt شباب أقل من 12 volt تمام calculate the power delivered to capital R small r and the battery", "tokens": [12610, 19452, 9673, 4587, 995, 20498, 3660, 33962, 9640, 7435, 10632, 13672, 1829, 39896, 10874, 3224, 31377, 5551, 3555, 4587, 7578, 18871, 6055, 1211, 9307, 3660, 4032, 2304, 8592, 47525, 3224, 4724, 1829, 39648, 915, 286, 47525, 3224, 41950, 1829, 9640, 3660, 293, 264, 14709, 8352, 295, 264, 5809, 4032, 47525, 3224, 6156, 2288, 4587, 10874, 23328, 3660, 49374, 38637, 1211, 5718, 104, 10632, 4724, 9566, 9640, 10632, 8032, 1863, 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"word": " بيستويش", "probability": 0.764453125}, {"start": 630.31, "end": 630.53, "word": " 12", "probability": 0.361572265625}, {"start": 630.53, "end": 630.89, "word": " volt", "probability": 0.4130859375}, {"start": 630.89, "end": 631.17, "word": " شباب", "probability": 0.7994791666666666}, {"start": 631.17, "end": 631.51, "word": " أقل", "probability": 0.8790690104166666}, {"start": 631.51, "end": 631.63, "word": " من", "probability": 0.98193359375}, {"start": 631.63, "end": 631.91, "word": " 12", "probability": 0.91796875}, {"start": 631.91, "end": 632.29, "word": " volt", "probability": 0.8896484375}, {"start": 632.29, "end": 633.59, "word": " تمام", "probability": 0.878173828125}, {"start": 633.59, "end": 634.11, "word": " calculate", "probability": 0.88623046875}, {"start": 634.11, "end": 634.35, "word": " the", "probability": 0.84423828125}, {"start": 634.35, "end": 634.59, "word": " power", "probability": 0.89208984375}, {"start": 634.59, "end": 635.07, "word": " delivered", "probability": 0.7998046875}, {"start": 635.07, "end": 635.25, "word": " to", "probability": 0.9375}, {"start": 635.25, "end": 635.51, "word": " capital", "probability": 0.55322265625}, {"start": 635.51, "end": 635.83, "word": " R", "probability": 0.9560546875}, {"start": 635.83, "end": 636.11, "word": " small", "probability": 0.3232421875}, {"start": 636.11, "end": 636.45, "word": " r", "probability": 0.66162109375}, {"start": 636.45, "end": 636.67, "word": " and", "probability": 0.95556640625}, {"start": 636.67, "end": 636.79, "word": " the", "probability": 0.7822265625}, {"start": 636.79, "end": 637.05, "word": " battery", "probability": 0.89990234375}], "temperature": 1.0}, {"id": 29, "seek": 65883, "start": 638.21, "end": 658.83, "text": "بدو ال power ايه احنا القانون اللى توا حاكينا لسه عشان نجيب التيار فنجيب التيار بسوء 3.93 امبير عشان نجيب فرق الجهود بنقول فرق الجهود بسوء ابسل ناقص IR و برضه هذه الشغلات اللى اتعلم فيها بوست كيرتشوف تصير شغلة معروفة و بدناش نحفظ هذه القوانين كلها اطلاقا مش سبطار قدام", "tokens": [3555, 3215, 2407, 2423, 1347, 1975, 1829, 3224, 1975, 5016, 8315, 25062, 7649, 11536, 13672, 7578, 6055, 14407, 11331, 995, 4117, 1829, 8315, 5296, 3794, 3224, 6225, 8592, 7649, 8717, 7435, 1829, 3555, 16712, 1829, 9640, 6156, 1863, 7435, 1829, 3555, 16712, 1829, 9640, 4724, 3794, 2407, 38207, 805, 13, 26372, 1975, 2304, 3555, 13546, 6225, 8592, 7649, 8717, 7435, 1829, 3555, 6156, 2288, 4587, 25724, 3224, 23328, 44945, 39648, 6156, 2288, 4587, 25724, 3224, 23328, 4724, 3794, 2407, 38207, 1975, 3555, 3794, 1211, 8717, 995, 4587, 9381, 16486, 4032, 4724, 43042, 3224, 29538, 25124, 17082, 1211, 9307, 13672, 7578, 1975, 2655, 3615, 19528, 8978, 11296, 4724, 2407, 14851, 9122, 13546, 2655, 8592, 38688, 6055, 9381, 13546, 13412, 17082, 37977, 20449, 32887, 5172, 3660, 4032, 47525, 8315, 8592, 8717, 5016, 5172, 19913, 29538, 25062, 2407, 7649, 9957, 28242, 11296, 1975, 9566, 15040, 4587, 995, 37893, 8608, 3555, 9566, 9640, 12174, 3215, 10943], 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"probability": 0.936767578125}, {"start": 651.23, "end": 651.53, "word": " اتعلم", "probability": 0.83807373046875}, {"start": 651.53, "end": 651.85, "word": " فيها", "probability": 0.903076171875}, {"start": 651.85, "end": 652.33, "word": " بوست", "probability": 0.5994466145833334}, {"start": 652.33, "end": 652.91, "word": " كيرتشوف", "probability": 0.913671875}, {"start": 652.91, "end": 653.53, "word": " تصير", "probability": 0.7980143229166666}, {"start": 653.53, "end": 653.79, "word": " شغلة", "probability": 0.91162109375}, {"start": 653.79, "end": 654.23, "word": " معروفة", "probability": 0.9639892578125}, {"start": 654.23, "end": 654.29, "word": " و", "probability": 0.943359375}, {"start": 654.29, "end": 654.55, "word": " بدناش", "probability": 0.555908203125}, {"start": 654.55, "end": 654.83, "word": " نحفظ", "probability": 0.9891357421875}, {"start": 654.83, "end": 654.97, "word": " هذه", "probability": 0.923828125}, {"start": 654.97, "end": 655.37, "word": " القوانين", "probability": 0.993896484375}, {"start": 655.37, "end": 655.99, "word": " كلها", "probability": 0.987060546875}, {"start": 655.99, "end": 656.63, "word": " اطلاقا", "probability": 0.690966796875}, {"start": 656.63, "end": 656.77, "word": " مش", "probability": 0.3916015625}, {"start": 656.77, "end": 657.39, "word": " سبطار", "probability": 0.70947265625}, {"start": 657.39, "end": 658.83, "word": " قدام", "probability": 0.9490559895833334}], "temperature": 1.0}, {"id": 30, "seek": 67303, "start": 659.05, "end": 673.03, "text": "فهذه الـ 12 ناقص الرقم هذه فتظهر على 11.8 volt فرق بسيط جدا لأن ال internal resistance أصلا صغيرة خالص 0.05 وبالتالي مافيش فرق ما بين فرق الجهد والإنف إلا 0.2 volt", "tokens": [5172, 3224, 24192, 2423, 39184, 2272, 8717, 995, 4587, 9381, 34892, 4587, 2304, 29538, 6156, 2655, 19913, 3224, 2288, 15844, 2975, 13, 23, 5962, 6156, 2288, 4587, 4724, 3794, 1829, 9566, 10874, 28259, 5296, 33456, 2423, 6920, 7335, 5551, 9381, 15040, 20328, 17082, 48923, 16490, 6027, 9381, 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" خطأ", "probability": 0.9654947916666666}, {"start": 915.88, "end": 916.22, "word": " مطبع", "probability": 0.9356689453125}, {"start": 916.22, "end": 916.36, "word": " هنا", "probability": 0.90625}, {"start": 916.36, "end": 916.54, "word": " بس", "probability": 0.92236328125}, {"start": 916.54, "end": 916.88, "word": " ماقدرش", "probability": 0.66839599609375}, {"start": 916.88, "end": 917.36, "word": " أعدله", "probability": 0.8203125}, {"start": 917.36, "end": 918.02, "word": " عشان", "probability": 0.97314453125}, {"start": 918.02, "end": 918.1, "word": " ال", "probability": 0.9501953125}, {"start": 918.1, "end": 918.5, "word": " equations", "probability": 0.8779296875}, {"start": 918.5, "end": 919.24, "word": " مختلفة", "probability": 0.9915771484375}, {"start": 919.24, "end": 919.82, "word": " تمام", "probability": 0.971923828125}], "temperature": 1.0}, {"id": 43, "seek": 94019, "start": 921.73, "end": 940.19, "text": "الان المعادلة هذه ايش بتحكي انه هادى او هادى و هادى بروحه فتطلع عندى القانون اللى احنا عارفينه انه R equivalent equal R1 plus R2 R1 plus R2 تمام البراريل البراريل يشوف كيف يتوصلوا على التوازن", "tokens": [6027, 7649, 9673, 3615, 18513, 37977, 29538, 1975, 1829, 8592, 39894, 5016, 4117, 1829, 16472, 3224, 8032, 18513, 7578, 1975, 2407, 8032, 18513, 7578, 4032, 8032, 18513, 7578, 4724, 32887, 5016, 3224, 6156, 2655, 9566, 1211, 3615, 43242, 7578, 25062, 7649, 11536, 13672, 7578, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 3224, 16472, 3224, 497, 10344, 2681, 497, 16, 1804, 497, 17, 497, 16, 1804, 497, 17, 46811, 10943, 2423, 26890, 9640, 26895, 2423, 26890, 9640, 26895, 7251, 8592, 38688, 9122, 33911, 7251, 2655, 2407, 36520, 14407, 15844, 16712, 2407, 31377, 1863], "avg_logprob": -0.2214381726839209, "compression_ratio": 1.7027027027027026, "no_speech_prob": 0.0, "words": [{"start": 921.7299999999999, "end": 922.6899999999999, "word": "الان", "probability": 0.757568359375}, {"start": 922.6899999999999, "end": 923.65, "word": " المعادلة", 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يروح من ال plate ل plate اذا روحت من ال plate ل plate بدون ماعمل لا ع مقام ولا ع بطارية ولا علاجة مكثف بيكون له نفس القضية هنا نفس العملية بدي ل plate ل plate طرف لطرف هيت انا عندي هي الطرف وهي الطرف بقدر امشي منها لها من واحد لاتنين ومن تلاتة لاربعة بدون ما ..", "tokens": [3224, 1829, 3714, 4587, 10943, 2655, 9957, 44650, 2407, 33546, 1211, 9957, 15844, 16712, 2407, 31377, 1829, 4032, 20292, 3224, 11778, 1829, 8717, 2655, 9566, 1211, 3615, 35186, 13412, 3555, 16758, 1975, 5016, 8315, 11331, 4117, 1829, 8315, 6225, 8592, 7649, 16472, 3714, 4117, 12984, 5172, 9957, 15844, 16712, 2407, 31377, 1829, 47525, 3224, 7251, 32887, 5016, 9154, 2423, 5924, 5296, 5924, 1975, 15730, 12602, 2407, 33753, 9154, 2423, 5924, 5296, 5924, 47525, 11536, 19446, 25957, 1211, 20193, 6225, 3714, 4587, 10943, 49429, 6225, 4724, 9566, 9640, 10632, 49429, 11203, 26108, 3660, 3714, 4117, 12984, 5172, 4724, 1829, 30544, 46740, 8717, 36178, 25062, 11242, 10632, 34105, 8717, 36178, 18863, 42213, 10632, 4724, 16254, 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169870, "start": 1669.14, "end": 1698.7, "text": "بيقول لي three resistors are connected in parallel as shown a potential difference of 18 volt is applied across points A and B بيقول لي هذا سؤال برضه أمثلة جايبها مع الأسف سهلة .. سهلة كتير في أحد الأسئلة بدي أحاول أحله من أسئلة اللي شوية بتغلب هذه .. كيف بتوصيها دو الشباب؟ هدول متواصلة على التوازي و إيش بده؟ بيقول لي find the current in each resistor برضه هذا السؤال مالوش معنى لأنه جديش الفرق الجهد على التلاتة Ohm", "tokens": [3555, 1829, 39648, 32239, 1045, 4597, 830, 366, 4582, 294, 8952, 382, 4898, 257, 3995, 2649, 295, 2443, 5962, 307, 6456, 2108, 2793, 316, 293, 363, 4724, 1829, 39648, 32239, 23758, 8608, 33604, 6027, 4724, 43042, 3224, 5551, 2304, 12984, 37977, 10874, 47302, 3555, 11296, 20449, 16247, 3794, 5172, 8608, 3224, 37977, 4386, 8608, 3224, 37977, 9122, 2655, 13546, 8978, 5551, 24401, 16247, 3794, 19986, 37977, 4724, 16254, 5551, 5016, 995, 12610, 5551, 5016, 43761, 9154, 5551, 3794, 19986, 37977, 13672, 1829, 13412, 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1670.36, "end": 1670.58, "word": " are", "probability": 0.93310546875}, {"start": 1670.58, "end": 1671.02, "word": " connected", "probability": 0.8798828125}, {"start": 1671.02, "end": 1671.3, "word": " in", "probability": 0.9326171875}, {"start": 1671.3, "end": 1671.76, "word": " parallel", "probability": 0.89501953125}, {"start": 1671.76, "end": 1672.06, "word": " as", "probability": 0.9169921875}, {"start": 1672.06, "end": 1672.36, "word": " shown", "probability": 0.88525390625}, {"start": 1672.36, "end": 1672.52, "word": " a", "probability": 0.448486328125}, {"start": 1672.52, "end": 1672.82, "word": " potential", "probability": 0.8740234375}, {"start": 1672.82, "end": 1673.24, "word": " difference", "probability": 0.86279296875}, {"start": 1673.24, "end": 1673.48, "word": " of", "probability": 0.96142578125}, {"start": 1673.48, "end": 1673.92, "word": " 18", "probability": 0.70556640625}, {"start": 1673.92, "end": 1674.36, "word": " volt", "probability": 0.5185546875}, {"start": 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1680.66, "word": " أمثلة", "probability": 0.75457763671875}, {"start": 1680.66, "end": 1681.02, "word": " جايبها", "probability": 0.8807373046875}, {"start": 1681.02, "end": 1681.14, "word": " مع", "probability": 0.170166015625}, {"start": 1681.14, "end": 1681.4, "word": " الأسف", "probability": 0.9026692708333334}, {"start": 1681.4, "end": 1681.74, "word": " سهلة", "probability": 0.96435546875}, {"start": 1681.74, "end": 1682.1, "word": " ..", "probability": 0.19775390625}, {"start": 1682.1, "end": 1682.36, "word": " سهلة", "probability": 0.9069010416666666}, {"start": 1682.36, "end": 1682.68, "word": " كتير", "probability": 0.9524739583333334}, {"start": 1682.68, "end": 1682.92, "word": " في", "probability": 0.9072265625}, {"start": 1682.92, "end": 1683.38, "word": " أحد", "probability": 0.92529296875}, {"start": 1683.38, "end": 1683.72, "word": " الأسئلة", "probability": 0.985107421875}, {"start": 1683.72, "end": 1683.98, "word": " بدي", "probability": 0.6749267578125}, {"start": 1683.98, "end": 1684.2, "word": " أحاول", "probability": 0.970947265625}, {"start": 1684.2, "end": 1684.58, "word": " أحله", "probability": 0.9344075520833334}, {"start": 1684.58, "end": 1685.3, "word": " من", "probability": 0.9765625}, {"start": 1685.3, "end": 1685.62, "word": " أسئلة", "probability": 0.9517822265625}, {"start": 1685.62, "end": 1685.78, "word": " اللي", "probability": 0.930908203125}, {"start": 1685.78, "end": 1686.08, "word": " شوية", "probability": 0.916015625}, {"start": 1686.08, "end": 1687.06, "word": " بتغلب", "probability": 0.9436848958333334}, {"start": 1687.06, "end": 1687.6, "word": " هذه", "probability": 0.393798828125}, {"start": 1687.6, "end": 1687.78, "word": " ..", "probability": 0.477783203125}, {"start": 1687.78, "end": 1687.98, "word": " كيف", "probability": 0.975830078125}, {"start": 1687.98, "end": 1688.46, "word": " بتوصيها", "probability": 0.651025390625}, {"start": 1688.46, "end": 1688.62, "word": " دو", "probability": 0.50537109375}, {"start": 1688.62, "end": 1689.14, "word": " الشباب؟", "probability": 0.8319091796875}, {"start": 1689.14, "end": 1689.98, "word": " هدول", "probability": 0.6376139322916666}, {"start": 1689.98, "end": 1690.32, "word": " متواصلة", "probability": 0.74462890625}, {"start": 1690.32, "end": 1690.44, "word": " على", "probability": 0.7939453125}, {"start": 1690.44, "end": 1690.82, "word": " التوازي", "probability": 0.944091796875}, {"start": 1690.82, "end": 1690.94, "word": " و", "probability": 0.49951171875}, {"start": 1690.94, "end": 1690.98, "word": " إيش", "probability": 0.7220865885416666}, {"start": 1690.98, "end": 1691.7, "word": " بده؟", "probability": 0.9244791666666666}, {"start": 1691.7, "end": 1692.02, "word": " بيقول", "probability": 0.9873046875}, {"start": 1692.02, "end": 1692.2, "word": " لي", "probability": 0.8671875}, {"start": 1692.2, "end": 1692.94, "word": " find", "probability": 0.88623046875}, {"start": 1692.94, "end": 1693.14, "word": " the", "probability": 0.88916015625}, {"start": 1693.14, "end": 1693.42, "word": " current", "probability": 0.90234375}, {"start": 1693.42, "end": 1693.66, "word": " in", "probability": 0.96435546875}, {"start": 1693.66, "end": 1693.88, "word": " each", "probability": 0.96533203125}, {"start": 1693.88, "end": 1694.44, "word": " resistor", "probability": 0.81005859375}, {"start": 1694.44, "end": 1695.02, "word": " برضه", "probability": 0.98095703125}, {"start": 1695.02, "end": 1695.2, "word": " هذا", "probability": 0.9599609375}, {"start": 1695.2, "end": 1695.52, "word": " السؤال", "probability": 0.8746744791666666}, {"start": 1695.52, "end": 1695.8, "word": " مالوش", "probability": 0.87841796875}, {"start": 1695.8, "end": 1696.18, "word": " معنى", "probability": 0.8484700520833334}, {"start": 1696.18, "end": 1697.0, "word": " لأنه", "probability": 0.7488606770833334}, {"start": 1697.0, "end": 1697.38, "word": " جديش", "probability": 0.7183430989583334}, {"start": 1697.38, "end": 1697.72, "word": " الفرق", "probability": 0.9539388020833334}, {"start": 1697.72, "end": 1697.96, "word": " الجهد", "probability": 0.8115234375}, {"start": 1697.96, "end": 1698.12, "word": " على", "probability": 0.873046875}, {"start": 1698.12, "end": 1698.52, "word": " التلاتة", "probability": 0.824462890625}, {"start": 1698.52, "end": 1698.7, "word": " Ohm", "probability": 0.604736328125}], "temperature": 1.0}, {"id": 74, "seek": 172448, "start": 1708.66, "end": 1724.48, "text": "أي واحد بيساوي تمنتاش ع تلاتة أي اتنين بيساوي تمنتاش ع ستة و أي تلاتة بيساوي تمنتاش ع تسعة اذا هذه عملية سهلة كثير بعدين بيقول calculate the power delivered to each resistors and the total power delivered to the combination", "tokens": [10721, 1829, 36764, 24401, 4724, 1829, 3794, 995, 45865, 6055, 27842, 2655, 33599, 6225, 6055, 1211, 9307, 3660, 36632, 1975, 2655, 1863, 9957, 4724, 1829, 3794, 995, 45865, 6055, 27842, 2655, 33599, 6225, 8608, 2655, 3660, 4032, 36632, 6055, 1211, 9307, 3660, 4724, 1829, 3794, 995, 45865, 6055, 27842, 2655, 33599, 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"probability": 0.90576171875}, {"start": 1712.06, "end": 1712.36, "word": " بيساوي", "probability": 0.94404296875}, {"start": 1712.36, "end": 1712.78, "word": " تمنتاش", "probability": 0.9442138671875}, {"start": 1712.78, "end": 1712.88, "word": " ع", "probability": 0.900390625}, {"start": 1712.88, "end": 1713.34, "word": " ستة", "probability": 0.9529622395833334}, {"start": 1713.34, "end": 1713.74, "word": " و", "probability": 0.41357421875}, {"start": 1713.74, "end": 1713.94, "word": " أي", "probability": 0.5244140625}, {"start": 1713.94, "end": 1714.34, "word": " تلاتة", "probability": 0.9722900390625}, {"start": 1714.34, "end": 1714.68, "word": " بيساوي", "probability": 0.937890625}, {"start": 1714.68, "end": 1715.24, "word": " تمنتاش", "probability": 0.9345703125}, {"start": 1715.24, "end": 1715.38, "word": " ع", "probability": 0.76220703125}, {"start": 1715.38, "end": 1715.88, "word": " تسعة", "probability": 0.9718424479166666}, {"start": 1715.88, "end": 1716.44, "word": " اذا", "probability": 0.51434326171875}, {"start": 1716.44, "end": 1716.68, "word": " هذه", "probability": 0.4794921875}, {"start": 1716.68, "end": 1717.08, "word": " عملية", "probability": 0.9607747395833334}, {"start": 1717.08, "end": 1717.34, "word": " سهلة", "probability": 0.875}, {"start": 1717.34, "end": 1717.78, "word": " كثير", "probability": 0.714599609375}, {"start": 1717.78, "end": 1718.36, "word": " بعدين", "probability": 0.681640625}, {"start": 1718.36, "end": 1718.6, "word": " بيقول", "probability": 0.6490071614583334}, {"start": 1718.6, "end": 1719.0, "word": " calculate", "probability": 0.57275390625}, {"start": 1719.0, "end": 1719.22, "word": " the", "probability": 0.7685546875}, {"start": 1719.22, "end": 1719.54, "word": " power", "probability": 0.8857421875}, {"start": 1719.54, "end": 1720.08, "word": " delivered", "probability": 0.85205078125}, {"start": 1720.08, "end": 1720.7, "word": " to", "probability": 0.96484375}, {"start": 1720.7, "end": 1720.94, "word": " each", "probability": 0.9306640625}, {"start": 1720.94, "end": 1721.54, "word": " resistors", "probability": 0.7333984375}, {"start": 1721.54, "end": 1721.74, "word": " and", "probability": 0.94482421875}, {"start": 1721.74, "end": 1721.88, "word": " the", "probability": 0.6494140625}, {"start": 1721.88, "end": 1722.18, "word": " total", "probability": 0.88623046875}, {"start": 1722.18, "end": 1722.64, "word": " power", "probability": 0.87451171875}, {"start": 1722.64, "end": 1723.52, "word": " delivered", "probability": 0.8544921875}, {"start": 1723.52, "end": 1723.82, "word": " to", "probability": 0.970703125}, {"start": 1723.82, "end": 1723.94, "word": " the", "probability": 0.90087890625}, {"start": 1723.94, "end": 1724.48, "word": " combination", "probability": 0.8828125}], "temperature": 1.0}, {"id": 75, "seek": 174747, "start": 1725.67, "end": 1747.47, "text": "بتمع في النهاية since the resistors are connected in parallel the potential difference across each one is the same and equal to 18 volt وبالتالي I1 وI2 وI3 بقدر أجيبها بالنسبة شباب للpower برضه بسهولة بقول P1 equal I1 square في R1 طلع 108 watt", "tokens": [3555, 39237, 3615, 8978, 28239, 11296, 10632, 1670, 264, 4597, 830, 366, 4582, 294, 8952, 264, 3995, 2649, 2108, 1184, 472, 307, 264, 912, 293, 2681, 281, 2443, 5962, 46599, 6027, 2655, 6027, 1829, 286, 16, 4032, 40, 17, 4032, 40, 18, 4724, 28543, 2288, 5551, 7435, 1829, 3555, 11296, 20666, 1863, 35457, 3660, 13412, 3555, 16758, 24976, 9513, 4724, 43042, 3224, 4724, 3794, 3224, 12610, 3660, 4724, 39648, 430, 16, 2681, 286, 16, 3732, 8978, 497, 16, 23032, 1211, 3615, 41342, 31556], "avg_logprob": -0.20554316079332716, "compression_ratio": 1.3218884120171674, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1725.67, "end": 1726.01, "word": "بتمع", "probability": 0.6551920572916666}, {"start": 1726.01, "end": 1726.13, "word": " في", "probability": 0.54296875}, {"start": 1726.13, "end": 1726.69, "word": " النهاية", "probability": 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1425.61, "end": 1425.71, "word": " ما", "probability": 0.93505859375}, {"start": 1425.71, "end": 1426.15, "word": " حاكم", "probability": 0.8248697916666666}, {"start": 1426.15, "end": 1426.69, "word": " من", "probability": 0.58203125}, {"start": 1426.69, "end": 1426.93, "word": " سفر", "probability": 0.715087890625}, {"start": 1426.93, "end": 1427.19, "word": " لواحد", "probability": 0.93408203125}, {"start": 1427.19, "end": 1427.35, "word": " كيف", "probability": 0.95947265625}, {"start": 1427.35, "end": 1427.51, "word": " تعرف", "probability": 0.635009765625}, {"start": 1427.51, "end": 1427.95, "word": " صارتها", "probability": 0.67596435546875}, {"start": 1427.95, "end": 1428.09, "word": " دي", "probability": 0.889892578125}, {"start": 1428.09, "end": 1428.53, "word": " average", "probability": 0.64306640625}, {"start": 1428.53, "end": 1430.73, "word": " طب", "probability": 0.74853515625}, {"start": 1430.73, "end": 1431.31, "word": " و", "probability": 0.861328125}, {"start": 1431.31, "end": 1431.87, "word": " الصين؟", "probability": 0.83056640625}], "temperature": 1.0}, {"id": 64, "seek": 146047, "start": 1432.67, "end": 1460.47, "text": "والـ sine قدش ال average تبحر؟ لأ average ال sine مش واحد عن واحد مش نص مش نص هذه من يوم اللي جت شباب من العراق اللي انتوا حافظينها قدش هذه؟ واحد ايش بفرج ال sine عن ال cosine؟ ولا اي شيء بس من يوم بدأ من ال phase معناته قاللي هذه حط محلها sine تربية ايه صارت؟", "tokens": [2407, 6027, 39184, 18609, 12174, 3215, 8592, 2423, 4274, 6055, 3555, 5016, 2288, 22807, 5296, 10721, 4274, 2423, 18609, 37893, 36764, 24401, 18871, 36764, 24401, 37893, 8717, 9381, 37893, 8717, 9381, 29538, 9154, 7251, 20498, 13672, 1829, 10874, 2655, 13412, 3555, 16758, 9154, 18863, 23557, 4587, 13672, 1829, 16472, 2655, 14407, 11331, 31845, 19913, 9957, 11296, 12174, 3215, 8592, 29538, 22807, 36764, 24401, 1975, 1829, 8592, 4724, 5172, 47341, 2423, 18609, 18871, 2423, 23565, 22807, 49429, 1975, 1829, 44049, 38207, 4724, 3794, 9154, 7251, 20498, 47525, 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cosine تربيع equal to one طبعا انا كتب استبدالها لانه لما نقولك انت لما تجيب average تجيب اي زاوية او اي function sin او cosine وشوفه من النص تقدر تميز بينهم انه sin او cosine؟ لأ في الرياضيات بيعتبروا ال sin و ال cosine نفس ال function بس هي من وين بدي و بس مش اكتر زي ما نقول F", "tokens": [5172, 995, 16095, 11203, 25528, 22807, 1975, 15730, 29538, 39896, 9154, 29538, 25062, 995, 22488, 3660, 9154, 2423, 6575, 9673, 8592, 3224, 13063, 3660, 3343, 6055, 2288, 21292, 3615, 1804, 23565, 6055, 2288, 21292, 3615, 2681, 281, 472, 23032, 3555, 3615, 995, 1975, 8315, 9122, 2655, 3555, 44713, 44510, 6027, 11296, 5296, 7649, 3224, 5296, 15042, 8717, 39648, 4117, 16472, 2655, 5296, 15042, 6055, 7435, 1829, 3555, 4274, 6055, 7435, 1829, 3555, 1975, 1829, 30767, 995, 2407, 10632, 1975, 2407, 1975, 1829, 2445, 3343, 1975, 2407, 23565, 4032, 8592, 38688, 3224, 9154, 28239, 9381, 6055, 28543, 2288, 46811, 1829, 11622, 49374, 16095, 16472, 3224, 3343, 1975, 2407, 23565, 22807, 5296, 10721, 8978, 2423, 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"start": 1618.33, "end": 1631.65, "text": "أو ال RMS Value للقرن هذه هي القيام ال V RMS بيساوي Maximum عجز بالتانية The RMS value of V and I are sometimes called the effective values في المعمل اللي أخدته هو effective values", "tokens": [10721, 2407, 2423, 497, 10288, 39352, 24976, 4587, 2288, 1863, 29538, 39896, 25062, 1829, 10943, 2423, 691, 497, 10288, 4724, 1829, 3794, 995, 45865, 29076, 449, 6225, 7435, 11622, 20666, 2655, 7649, 10632, 440, 497, 10288, 2158, 295, 691, 293, 286, 366, 2171, 1219, 264, 4942, 4190, 8978, 9673, 25957, 1211, 13672, 1829, 5551, 9778, 3215, 47395, 31439, 4942, 4190], "avg_logprob": -0.44979507805871183, "compression_ratio": 1.367816091954023, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1618.33, "end": 1618.77, "word": "أو", "probability": 0.62646484375}, {"start": 1618.77, "end": 1618.91, "word": " ال", "probability": 0.394775390625}, {"start": 1618.91, "end": 1619.61, "word": " RMS", "probability": 0.6488037109375}, {"start": 1619.61, 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"temperature": 1.0}, {"id": 75, "seek": 166885, "start": 1653.31, "end": 1668.85, "text": "نفس المعاملين والخوانين بالنسبة للدور ما تغيروش بس ال I بيعني فيها الارمس ال V بيعني فيها الارمس هنا ارمس و هنا RMS وبالتالي it is the RMS value that are specified or measured", "tokens": [1863, 36178, 9673, 3615, 10943, 1211, 9957, 16070, 9778, 2407, 7649, 9957, 20666, 1863, 35457, 3660, 24976, 3215, 13063, 19446, 6055, 17082, 13546, 2407, 8592, 4724, 3794, 2423, 286, 4724, 40228, 22653, 8978, 11296, 2423, 9640, 2304, 3794, 2423, 691, 4724, 40228, 22653, 8978, 11296, 2423, 9640, 2304, 3794, 34105, 1975, 2288, 2304, 3794, 4032, 34105, 497, 10288, 46599, 6027, 2655, 6027, 1829, 309, 307, 264, 497, 10288, 2158, 300, 366, 22206, 420, 12690], "avg_logprob": -0.2268749980131785, "compression_ratio": 1.5941176470588236, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1653.31, "end": 1653.63, "word": "نفس", "probability": 0.761962890625}, {"start": 1653.63, "end": 1654.15, "word": " المعاملين", "probability": 0.6189453125}, {"start": 1654.15, "end": 1654.79, "word": " والخوانين", "probability": 0.8373046875}, {"start": 1654.79, "end": 1655.41, "word": " بالنسبة", "probability": 0.95458984375}, {"start": 1655.41, "end": 1655.85, "word": " للدور", "probability": 0.8544921875}, {"start": 1655.85, "end": 1656.13, "word": " ما", "probability": 0.496337890625}, {"start": 1656.13, "end": 1656.75, "word": " تغيروش", "probability": 0.90322265625}, {"start": 1656.75, "end": 1657.27, "word": " بس", "probability": 0.85888671875}, {"start": 1657.27, "end": 1657.41, "word": " ال", "probability": 0.67236328125}, {"start": 1657.41, "end": 1657.65, "word": " I", "probability": 0.7568359375}, {"start": 1657.65, "end": 1657.93, "word": " بيعني", "probability": 0.6605631510416666}, {"start": 1657.93, "end": 1658.17, "word": " فيها", "probability": 0.94091796875}, {"start": 1658.17, "end": 1658.69, "word": " الارمس", "probability": 0.67333984375}, {"start": 1658.69, "end": 1659.09, 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اقول هذه الكلام لان هو اصلا جالي series RLC circuit RLC circuit جاية من ال R والL والC جالي اشتغل طبعا هنشتغلها المرة الجاية ونشتغلها أحكاية ال vectors ونجيب العلاقة اللي بدنا إياها ونعطيكوا العافية", "tokens": [6027, 31371, 9640, 4724, 28543, 2288, 1975, 39648, 6055, 1829, 9640, 8032, 995, 16254, 4032, 31371, 9640, 8032, 995, 16254, 4032, 31371, 9640, 8032, 995, 16254, 36764, 24401, 20328, 5016, 1975, 15730, 4724, 28543, 2288, 1975, 39648, 29538, 2423, 28820, 10943, 5296, 7649, 31439, 1975, 9381, 15040, 10874, 6027, 1829, 2638, 497, 14766, 9048, 497, 14766, 9048, 10874, 995, 10632, 9154, 2423, 497, 16070, 43, 16070, 34, 10874, 6027, 1829, 1975, 8592, 2655, 17082, 1211, 23032, 3555, 3615, 995, 8032, 1863, 8592, 2655, 17082, 1211, 11296, 9673, 25720, 25724, 995, 10632, 4032, 1863, 8592, 2655, 17082, 1211, 11296, 5551, 5016, 4117, 995, 10632, 2423, 18875, 4032, 1863, 7435, 1829, 3555, 18863, 15040, 28671, 13672, 1829, 47525, 8315, 11933, 25528, 11296, 4032, 1863, 3615, 9566, 1829, 4117, 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0.93603515625}, {"start": 3513.96, "end": 3514.92, "word": " صح", "probability": 0.897705078125}, {"start": 3514.92, "end": 3515.68, "word": " اذا", "probability": 0.7261962890625}, {"start": 3515.68, "end": 3516.02, "word": " بقدر", "probability": 0.9851888020833334}, {"start": 3516.02, "end": 3516.24, "word": " اقول", "probability": 0.95361328125}, {"start": 3516.24, "end": 3516.36, "word": " هذه", "probability": 0.323486328125}, {"start": 3516.36, "end": 3516.6, "word": " الكلام", "probability": 0.8434244791666666}, {"start": 3516.6, "end": 3516.74, "word": " لان", "probability": 0.734130859375}, {"start": 3516.74, "end": 3516.88, "word": " هو", "probability": 0.814453125}, {"start": 3516.88, "end": 3517.14, "word": " اصلا", "probability": 0.712646484375}, {"start": 3517.14, "end": 3517.4, "word": " جالي", "probability": 0.8740234375}, {"start": 3517.4, "end": 3517.8, "word": " series", "probability": 0.4580078125}, {"start": 3517.8, "end": 3518.5, "word": " RLC", "probability": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9cb5ec0637e2dd0bf8f979edf1a1a4a6575b2787
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/GHGUFViKTzs_raw.srt
@@ -0,0 +1,3208 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,510 --> 00:00:14,970
+تمام انسمي باسم الله الرحمن الرحيم و chapter 11 هو
+
+3
+00:00:14,970 --> 00:00:19,390
+ال chapter الأخير في المادة بعنوان alternating
+
+4
+00:00:19,390 --> 00:00:24,950
+current circuits او ال EC circuits شباب زى ما
+
+5
+00:00:24,950 --> 00:00:28,410
+تشوفين احنا بنحاول نجيب من الأسئلة اللى بنطلبها في
+
+6
+00:00:28,410 --> 00:00:32,010
+الامتحانات لازم الطالب يكون حاول الأسئلةعشان تكون
+
+7
+00:00:32,010 --> 00:00:34,410
+الأمور سهلة يعني الامتحان التاني في الامتحان هو
+
+8
+00:00:34,410 --> 00:00:39,530
+أحد أسلة الكتاب وطبعا في سؤال الامبيرز هو مثال أو
+
+9
+00:00:39,530 --> 00:00:42,910
+يزق من مثال فبالتالي لما يحل أنت أسلة الكتاب
+
+10
+00:00:42,910 --> 00:00:48,490
+بالقفرة بتكون أنت سفدت كتير وغطيت كل المفاهيم اللي
+
+11
+00:00:48,490 --> 00:00:52,630
+موجودة فبنحاول ما أمكن نجيب لنا سؤال منطقي مايكونش
+
+12
+00:00:52,630 --> 00:00:56,630
+هو أصعب من ضمن الأسئلة اللي تنتقى هذه أسئلة في
+
+13
+00:00:56,630 --> 00:01:00,050
+كتابها أسئلة سهلة جدافي من أكم سؤال بتلاقوه شوية
+
+14
+00:01:00,050 --> 00:01:04,870
+صعبين لكن في النهاية الأفكار انت بتاخدها فبالتالي
+
+15
+00:01:04,870 --> 00:01:11,750
+الأسئلة هي موطن لأسئلة انتحار بتكون موجودة تمام
+
+16
+00:01:12,900 --> 00:01:17,660
+Alternating Current Sources احنا بنعرف الشباتير
+
+17
+00:01:17,660 --> 00:01:22,640
+كلها اللي ماضية كان التيار اللي بناخده هو تيار
+
+18
+00:01:22,640 --> 00:01:28,420
+المستمر وكان مصدره يرمز له بالرمز هذا اول ما شوفها
+
+19
+00:01:28,420 --> 00:01:32,480
+نقول هذا رمز ايش؟ ايه البطل؟ ايش بيعطيني؟ طيار
+
+20
+00:01:32,480 --> 00:01:35,900
+قيمة واحدة نقول والله التيار خمس أنبال نكتب عليه
+
+21
+00:01:35,900 --> 00:01:40,240
+خمس أنبال مافيش اي اشكالية وهذا تيار مستمر قيمته
+
+22
+00:01:40,240 --> 00:01:46,950
+ثابتةبنشوف الطيار المتردد ليه صار متردد فبنشوف
+
+23
+00:01:46,950 --> 00:01:51,470
+alternating current sources ايش هو المصدر اللي
+
+24
+00:01:51,470 --> 00:01:55,430
+بيخلي الطيار يطلع عندي متردد طبعا هذا هو الجهاز
+
+25
+00:01:55,430 --> 00:02:00,170
+اللي بيولدلي الطيار المتردد او هذا هو فكرة عمل اي
+
+26
+00:02:00,170 --> 00:02:03,030
+generator مطور الكهربا اللي عندكم في الظهر هي فكرة
+
+27
+00:02:03,030 --> 00:02:08,110
+عمله الدينامو تبعي البسكليت في حد يعرف الدينامو
+
+28
+00:02:08,110 --> 00:02:14,480
+تبعي البسكليت تبع زمان بالظبط كيف كان يضويلازم تحط
+
+29
+00:02:14,480 --> 00:02:19,220
+الجرس على العجل، تمام؟ فكرة طويل محلاها ان انا
+
+30
+00:02:19,220 --> 00:02:24,260
+الحركة موجودة موجودة ليش مستغلها فحركة العجل بتولد
+
+31
+00:02:24,260 --> 00:02:29,140
+الكهربا بتخلي الملف يدور، حركة العجل نفسها و ال
+
+32
+00:02:29,140 --> 00:02:31,900
+bus ride في النهاية انا بدياه يدوي هو واقف ولا هو
+
+33
+00:02:31,900 --> 00:02:36,070
+ماشيوهو ماشي، مازال ماشي، في ممكنية البسكريات يمشي
+
+34
+00:02:36,070 --> 00:02:39,910
+بدون ما يطفوا أجاله؟ الحركة جاية جاية وبالتالي
+
+35
+00:02:39,910 --> 00:02:42,750
+بدون محط بنزين، تشوف مالخاصة الكهربا تبعت للجينام
+
+36
+00:02:42,750 --> 00:02:47,490
+والبسكريات؟ بلاش، جاية من الحركة أصلا موجودة، فهذه
+
+37
+00:02:47,490 --> 00:02:51,880
+فكرة عمل الجينام أو الجينامية، نفس القضيةكلهم شباب
+
+38
+00:02:51,880 --> 00:02:55,040
+بعتمدوا على فكرة فرضاي عشان كده أول ما جيبت فرضاي
+
+39
+00:02:55,040 --> 00:02:59,560
+قلت هذا قانون أساسي عمل انقلاب في الدنيا انه كيف
+
+40
+00:02:59,560 --> 00:03:03,660
+انا اولد تيار كهربائي ويكون مستممي زي البطارية كان
+
+41
+00:03:03,660 --> 00:03:08,780
+زمان كل .. برضه الأجيال الجديمة الجديمة خالص بدنا
+
+42
+00:03:08,780 --> 00:03:12,220
+نشوف التلفزيونات في غزة قبل ما تكون في كهربا في
+
+43
+00:03:12,220 --> 00:03:15,120
+أغلب البيوت فكيف كانوا يشغلوا التلفزيونات؟ ع
+
+44
+00:03:15,120 --> 00:03:18,190
+بطاريةيجيبوا بطارية زي بتاع السيارة و يشغلوا
+
+45
+00:03:18,190 --> 00:03:22,330
+التلفزيون تمام؟ لأنه بدهم كهربا، مافيش كهربا، في
+
+46
+00:03:22,330 --> 00:03:28,050
+الآخر بدت يعني الكهربا يمكن أنتوا .. يمكن أبواتكم
+
+47
+00:03:28,050 --> 00:03:33,330
+في منكم مواريد السبعينات تمام؟ الكهربا بأوائل
+
+48
+00:03:33,330 --> 00:03:36,590
+السبعينات بدت تغزو غزة بمعنى كلمة يعني كانت موجودة
+
+49
+00:03:36,590 --> 00:03:39,850
+قبل السبعينات و في الستينات من أيام المصريين بس في
+
+50
+00:03:39,850 --> 00:03:43,990
+أحياء معينة و كانت ضعيفة جدابالاخر انتشرت الكهربا
+
+51
+00:03:43,990 --> 00:03:47,930
+فى السبعينات انا بذكر فى ال 72 هي الانقلاب اللى
+
+52
+00:03:47,930 --> 00:03:51,890
+صار فى الكهربا انه صار فى توسعة شديدة على التيار
+
+53
+00:03:51,890 --> 00:03:54,410
+الكهربائي فى مدينة غزة وصارت منتشرة فى أغلب
+
+54
+00:03:54,410 --> 00:03:58,450
+الأحياء ولا كتير زمان فى أحياء ماكنش فيه كهربا مرة
+
+55
+00:03:58,450 --> 00:04:01,830
+ولا بتالي لا كان فى تلاجات ولا غسلات ولا تلفزيونات
+
+56
+00:04:01,830 --> 00:04:05,680
+او اللى عنده تلفزيون يشغلواولا بيعملوا كوزات ..
+
+57
+00:04:05,680 --> 00:04:08,580
+لأ، هذه الكوزات مشكلة، هذه كوزات wet، wet of the
+
+58
+00:04:08,580 --> 00:04:12,040
+city، من فرح لسه، في التسعينات، يعني حتى الكعبة
+
+59
+00:04:12,040 --> 00:04:16,460
+تعتبر بالعصر الجديد .. يعني تعتبر حديثة بالنسبة
+
+60
+00:04:16,460 --> 00:04:21,640
+لما نقول في السبعينات، قبل كده كانت ضعيفة أو قليلة
+
+61
+00:04:22,660 --> 00:04:25,920
+المهم انه انا كان فيه انديبطارية تديني DC بتشغّل
+
+62
+00:04:25,920 --> 00:04:31,160
+تلفزيوني بتشغّل راديو كل حاجة بعد كده بدأنا انه
+
+63
+00:04:31,160 --> 00:04:35,820
+كيف القهربة تكون موجودة و بكترة و بوفرة فهذا هو
+
+64
+00:04:35,820 --> 00:04:40,520
+الجهاز فكرة عمل اي generator ايش هو؟ بقول هذا
+
+65
+00:04:40,520 --> 00:04:46,080
+عبارة عن مغناطيس جوا المغناطيس موجود عشان يولجلي
+
+66
+00:04:46,080 --> 00:04:51,110
+مجال مغناطيسيأحنا بنقول فرضايش بيقول فرضايش بيقول
+
+67
+00:04:51,110 --> 00:04:57,150
+في انف بيساوي سالب انعدن اللفات دي فاي ام على دي
+
+68
+00:04:57,150 --> 00:05:02,430
+تي هذه فرضايش هذه بتساوي بي في ايه في كوسايم
+
+69
+00:05:02,430 --> 00:05:07,150
+الثيتا مصبوط او لا اذا فرضايش بيقول بيقول غير بي
+
+70
+00:05:07,150 --> 00:05:11,890
+او غير ا او غير الثيتاأو غير واحدة منهم على الأقل
+
+71
+00:05:11,890 --> 00:05:15,610
+بصير في عندك انف اذا صار في عندك طيار كهربائي هذا
+
+72
+00:05:15,610 --> 00:05:18,990
+هو الفرضية فقلنا اذا انا بدي بيه قطعا قالوا هاي
+
+73
+00:05:18,990 --> 00:05:25,030
+مجال مغناطيسي هاي بيه اي جد بدي loop عشان يدخلش
+
+74
+00:05:25,030 --> 00:05:30,130
+فيها طيار هاي loop اللي انا تبعتها ثابتة بعدين بدي
+
+75
+00:05:30,130 --> 00:05:34,700
+اغير فيه تبدي اخليها تلفلما تلف هذه ال loop شباب
+
+76
+00:05:34,700 --> 00:05:39,260
+اللوب اما تكون هيك او تكون هيك و بتلف قدرها لما
+
+77
+00:05:39,260 --> 00:05:43,380
+تكون ال loop هيك شباب كيف ال area بتكون ال loop
+
+78
+00:05:43,380 --> 00:05:48,520
+هيك؟ بتكون موازي ال loop يعني ال area و المجال
+
+79
+00:05:48,520 --> 00:05:54,660
+المناطيسي مع بعض او 180 درجة و sin 180 cos 180 cos
+
+80
+00:05:54,660 --> 00:06:01,470
+01 صح او لا؟ولما تكون تسعين بتصير Zero فمعناته
+
+81
+00:06:01,470 --> 00:06:05,390
+القيمة اللي انت عندك طالعة اما بتطلع Zero او بتطلع
+
+82
+00:06:05,390 --> 00:06:08,830
+تسعين درجة وبالتالي مرات بتكون الها قيمة ومرات
+
+83
+00:06:08,830 --> 00:06:12,730
+مالهاش قيمة وبتأكس في التسعين درجة فطبعا المشكلة
+
+84
+00:06:12,730 --> 00:06:18,340
+وين انه ايش بيخليها تتلفطبعا ان في البيوت البنزين
+
+85
+00:06:18,340 --> 00:06:22,040
+بيخليها تلف تمام؟ طبعا طاقة الرياح أخدنا في
+
+86
+00:06:22,040 --> 00:06:25,200
+المدارس انها ممكن تخليها تلف في البسكولية العجل
+
+87
+00:06:25,200 --> 00:06:30,480
+تخليها تلف و .. و في النهاية انا بدي طاقة اذا هو
+
+88
+00:06:30,480 --> 00:06:35,660
+الفكرة عمل اي generator بيحوطلي طاقة ميكانيكية الى
+
+89
+00:06:35,660 --> 00:06:39,370
+طاقة كهربائيةطبعا الميكانيكية كانت في إيجاد ممكن
+
+90
+00:06:39,370 --> 00:06:43,250
+تكون كيميائية ممكن تيجي طبعا كيميائية في بعض ال
+
+91
+00:06:43,250 --> 00:06:47,330
+generator ده كان ممكن تكون هوا او ممكن تكون شلولات
+
+92
+00:06:47,330 --> 00:06:51,490
+ميه لكن احنا بالنسبة لنا طاقة كيميائية بتصير
+
+93
+00:06:51,490 --> 00:06:54,630
+ميكانيكية و بعدين ترجع كهربية و الكهربية بعد كده
+
+94
+00:06:54,630 --> 00:06:58,610
+بستخدمها بكل الاستخدامات الممكنة اما حرارية او
+
+95
+00:06:58,610 --> 00:07:02,930
+ضوئية او بمجردها بيخليها حركية زي الهويات بتبدو
+
+96
+00:07:02,930 --> 00:07:06,920
+حركةبعدين ترجح حركة فهذا المهم طاقة و احنا عارفين
+
+97
+00:07:06,920 --> 00:07:12,920
+ان ال energy is conserved وبالتالي conserved هذا
+
+98
+00:07:12,920 --> 00:07:15,920
+لا يعني انه ماتتحولش من نوع لنوع يعني طاقة حركة
+
+99
+00:07:15,920 --> 00:07:19,000
+بصي طاقة وضع بصي طاقة حرارة بصي طاقة حركة كمان مرة
+
+100
+00:07:19,000 --> 00:07:24,020
+فالمهم أنواع مختلفة من الطاقةبيقول لي generators
+
+101
+00:07:24,020 --> 00:07:28,040
+or dynamo مرات بيسموه dynamo اول ما سموه سموه
+
+102
+00:07:28,040 --> 00:07:31,300
+dynamo وبعدين صار generator is a device that
+
+103
+00:07:31,300 --> 00:07:35,440
+operate according to the electromagnetic induction
+
+104
+00:07:35,440 --> 00:07:40,140
+of Faraday's law، اذا الفكرة العاملة هو Faradayit
+
+105
+00:07:40,140 --> 00:07:43,500
+is a device that produce a current by converting
+
+106
+00:07:43,500 --> 00:07:46,920
+the mechanical energy into electrical energy اهدا
+
+107
+00:07:46,920 --> 00:07:50,580
+هدا شغلات بس طبعا ايش بيبنيش تتكون زي ما انتوا
+
+108
+00:07:50,580 --> 00:07:55,680
+شايفين عندي لفة موجودة في مجال مغناطيسي او المتلف
+
+109
+00:07:55,680 --> 00:08:00,210
+هذا بضوئيأول مطلوب هذا بيضوي لإن صار في عندي تيار
+
+110
+00:08:00,210 --> 00:08:04,530
+كهربائي بحسب فرده طبعا هذه التركيبة اللي احنا مش
+
+111
+00:08:04,530 --> 00:08:06,990
+معنين فيها ولا بنجيب تركيبة ال dynamo ولا تركيبة
+
+112
+00:08:06,990 --> 00:08:09,210
+ال generator ولا كل هذه الأمور لإنها شغل السهل
+
+113
+00:08:09,210 --> 00:08:14,750
+وممكن واحد يحفظهايقول اذا اللوب تتغير طول ما اللوب
+
+114
+00:08:14,750 --> 00:08:19,790
+تتلف الوضع المغناطيكي يتغير مع الوقت انا بدي اغير
+
+115
+00:08:19,790 --> 00:08:23,270
+بف ثيتا اذا معناته اذا اغيرت ثيتا معناته الوضع
+
+116
+00:08:23,270 --> 00:08:28,750
+تتغير الوضع تتغير مع الزمن inducing an inf and so
+
+117
+00:08:28,750 --> 00:08:32,030
+a current in the external circuit صافي عندي طيارة
+
+118
+00:08:32,030 --> 00:08:36,590
+خلينا نشتغله نشوفه يقول support that the loop with
+
+119
+00:08:36,590 --> 00:08:41,340
+area a مساحتها aوتابتة rotates with constant
+
+120
+00:08:41,340 --> 00:08:44,980
+angular speed omega بتلف بسرعة معينة انا بعرفها
+
+121
+00:08:44,980 --> 00:08:49,280
+احنا طبعا عندنا خمسين هيرتز اغلب ال generators
+
+122
+00:08:49,280 --> 00:08:53,480
+خمسين هيرتز ده خليها هجت omega and support the θ
+
+123
+00:08:53,480 --> 00:08:55,440
+at the angle between the magnetic field and the
+
+124
+00:08:55,440 --> 00:08:58,120
+area of the loop the magnetic flux ده ليه يحسب ال
+
+125
+00:08:58,120 --> 00:09:00,560
+magnetic flux؟ بقول له ايه ال magnetic flux بيساوي
+
+126
+00:09:00,560 --> 00:09:03,780
+بيه ضبط ال a على اعتبار ان بيه uniform constant
+
+127
+00:09:03,780 --> 00:09:11,590
+بتطلعها برا التكامل لان ال fluxبتساوي تكامل B.DA
+
+128
+00:09:11,590 --> 00:09:17,550
+طلع الـ B برا فتصبح B.A B.A صحيح بي في A في كوسين
+
+129
+00:09:17,550 --> 00:09:21,470
+الـ Theta بقدر أقول الـ Theta بتساوي Omega في T
+
+130
+00:09:21,470 --> 00:09:25,630
+ماشي الـ Theta هي الإزاحة الزاوية بتساوي الصوعة
+
+131
+00:09:25,630 --> 00:09:28,210
+الزاوية في الزمن تم اعمالي علاقة خدناها الـ
+
+132
+00:09:28,210 --> 00:09:31,010
+Physicists جانوا هاي الـ Flux اشتغلها الـ Gate
+
+133
+00:09:31,010 --> 00:09:36,510
+اشتغل على فرضهاtherefore the induced inf in the
+
+134
+00:09:36,510 --> 00:09:40,450
+loop is given by فرضيا بيقوللي فاضل ايش هو فاضل ال
+
+135
+00:09:40,450 --> 00:09:46,310
+cosine؟ صالب صين صالب صين و omega بتطلع برا ولا لأ
+
+136
+00:09:46,310 --> 00:09:51,010
+أنا ثابتة فاتصارت صالب ويجانب الصالب من ال cosine
+
+137
+00:09:51,010 --> 00:09:56,110
+راح الصالب ب ا في omega sin omega t هاي قليل اتحيك
+
+138
+00:09:56,110 --> 00:10:02,350
+تمام ايش ها دى؟ قاللي ها دي sin omega t ها دي ايه
+
+139
+00:10:02,350 --> 00:10:08,630
+لها وحدات شباب؟وميجا في T إليها واحدة كده؟ ووميجا
+
+140
+00:10:08,630 --> 00:10:12,010
+في T إليها واحدة كده؟ ووميجا في T إليها واحدة كده؟
+
+141
+00:10:12,010 --> 00:10:12,010
+ووميجا في T إليها واحدة كده؟ ووميجا في T إليها
+
+142
+00:10:12,010 --> 00:10:12,870
+واحدة كده؟ ووميجا في T إليها واحدة كده؟ ووميجا في
+
+143
+00:10:12,870 --> 00:10:15,850
+T إليها واحدة كده؟ ووميجا في T إليها واحدة كده؟
+
+144
+00:10:15,850 --> 00:10:19,270
+ووميجا في T إليها واحدة كده؟ ووميجا في T إليها
+
+145
+00:10:19,270 --> 00:10:26,230
+واحدة كده؟ ووميجا في T إليها واحدة
+
+146
+00:10:26,230 --> 00:10:29,610
+كده؟ ووميجا في T إليها واحدة كده؟ ووميجا في T
+
+147
+00:10:29,610 --> 00:10:34,590
+إليها واحدة كده؟ ووميجإذا الجهد اللى طلع عندك زى
+
+148
+00:10:34,590 --> 00:10:38,610
+ما تشايفينه الـSin ومشكلة الـSin إيش كيف رسمت
+
+149
+00:10:38,610 --> 00:10:43,390
+الـSin يا شباب؟ جداش قيمة الجهود؟ من يقولي جداش
+
+150
+00:10:43,390 --> 00:10:48,370
+قيمة الجهود؟ بتقدر تعرفها؟ تتغير؟ هنا سفر هنا
+
+151
+00:10:48,370 --> 00:10:55,940
+maximum رجعت سفر رجعت بالسالق و رجعتأذا من هنا اتت
+
+152
+00:10:55,940 --> 00:11:01,960
+احكاية ان الطيار متردد مالوش خيمة ثابتة من هنا اتت
+
+153
+00:11:01,960 --> 00:11:07,480
+ان عندك sign و قيمة ال sign مقدرم الثابت بتغير و
+
+154
+00:11:07,480 --> 00:11:13,440
+بظل متغير إلى مانا نهاية this means that the inf
+
+155
+00:11:13,440 --> 00:11:17,580
+varies with time according to the sign function
+
+156
+00:11:17,580 --> 00:11:25,420
+تبام because of that we have a cSource AC
+
+157
+00:11:25,420 --> 00:11:31,680
+Alternating Current AC هداك بسميه DC Direct
+
+158
+00:11:31,680 --> 00:11:37,060
+Current اذا بسميه AC من وين لأن ال sign مترددة
+
+159
+00:11:37,060 --> 00:11:42,980
+تتغير تمام طيب هذا رمز ال DC Circuit ال DC Source
+
+160
+00:11:42,980 --> 00:11:46,900
+طب هدات ايش بتعمله رمز قالوا واحد يعمل هيك وحط
+
+161
+00:11:46,900 --> 00:11:52,530
+شوية ال signهذا هو الرمز من يوم اطلع اول ما اشوفه
+
+162
+00:11:52,530 --> 00:11:56,130
+بيقول هذا بيطلع اعتبره ماتور كهربا هذا generator
+
+163
+00:11:56,130 --> 00:11:59,870
+هذا ال generator هو اللي بيولد التيار الكهربائي
+
+164
+00:11:59,870 --> 00:12:04,410
+المتردد هذا رمزه في الدوائر الكهربائية EC source
+
+165
+00:12:04,410 --> 00:12:11,240
+تمامبعد رصبته هيك كنا عارفينها وواضح الآن ان
+
+166
+00:12:11,240 --> 00:12:16,740
+التيار بتغير من maximum ل minimum من maximum ل-
+
+167
+00:12:16,740 --> 00:12:22,730
+maximum إلى مانا نهايةطبعا ال frequency عشان الدور
+
+168
+00:12:22,730 --> 00:12:26,350
+ال frequency of commercial generators in our
+
+169
+00:12:26,350 --> 00:12:30,770
+country and most of the world is fifty hills دوران
+
+170
+00:12:30,770 --> 00:12:33,470
+ال loop في ال generator اللي في دهرك او في محطة
+
+171
+00:12:33,470 --> 00:12:38,230
+الكهربا كمان خمسين hills في أمريكا بيعتبروه ستين
+
+172
+00:12:38,230 --> 00:12:41,280
+hills لأن جهة أمريكا غير جهة تبعنا يا شبابأحنا
+
+173
+00:12:41,280 --> 00:12:45,920
+عارفين هناك 110 و احنا هنا 220 طبعا امريكا و كندا
+
+174
+00:12:45,920 --> 00:12:51,740
+تقريبا هم اللي بنفردوا بالولتية تبعتهم 110 و باقى
+
+175
+00:12:51,740 --> 00:12:57,560
+دول العالم 220 volt بيشغلوا يعني بيكونوا مصمم بس
+
+176
+00:12:57,560 --> 00:13:00,500
+مش كل الأجهزة بيكونوا مصمم انت لو تتطلع على كل
+
+177
+00:13:00,500 --> 00:13:04,460
+الأجهزة اللي عندك ممكن تبلغ من 220 ل240 volt تمام
+
+178
+00:13:04,460 --> 00:13:08,820
+لو حطيت .. لو صار في مشكلة معينة و صار 300 بنحرج
+
+179
+00:13:09,660 --> 00:13:14,560
+طبعا فهو بيكون التصميم تبقى و بيسمح بيداري طبعا في
+
+180
+00:13:14,560 --> 00:13:19,360
+ال .. او جت مباحظه عن ال computer في المدفع اه طب
+
+181
+00:13:19,360 --> 00:13:25,120
+ايه من المدفع ده المدفع او ال 22110 طيب مواد
+
+182
+00:13:25,120 --> 00:13:29,460
+ادابتر عشان الجهاز بدهو مش يعمل لكل دولة جهاز
+
+183
+00:13:29,460 --> 00:13:33,300
+فبيعملوا ايه يشرعوا التنين سوقوا في أمريكا اشتغل
+
+184
+00:13:33,300 --> 00:13:37,510
+سوقوا في غزة اشتغلبس بتجربة بتتغير في كام أجهزة في
+
+185
+00:13:37,510 --> 00:13:41,490
+adaptor و غالبا بتكون تغيره في الأجهزة مش بسهولة
+
+186
+00:13:41,490 --> 00:13:45,230
+يعني بيدك حالي لإنه بتتغيرش دايما تمام فانت بتتغير
+
+187
+00:13:45,230 --> 00:13:48,730
+حسب بلدك ايش الفورتية اللي بتشتري عليها 110 او 220
+
+188
+00:13:48,730 --> 00:13:52,890
+فبتعملها بيسموها adaptor كيف يحول من فورتية
+
+189
+00:13:52,890 --> 00:13:56,470
+لفورتية تمام طبعا while it is 60 years in some
+
+190
+00:13:56,470 --> 00:14:00,130
+other countries like the USA and Canada تمام و
+
+191
+00:14:00,130 --> 00:14:03,210
+بنعرف ان ال frequency و omega هذه العلاقة تبعتهم
+
+192
+00:14:03,390 --> 00:14:09,910
+مادي شغلات عامة اقولكم ابترفوها اغلبهاأذا أنا بدي
+
+193
+00:14:09,910 --> 00:14:13,650
+أدى التغيير الوحيد شباب ان الطيار اللي عندي متردد
+
+194
+00:14:13,650 --> 00:14:17,310
+الجهد اللي عندي متردد لكن في عندي قوانين انا
+
+195
+00:14:17,310 --> 00:14:19,570
+بعرفها في الدولة الكهربائية في عندي توصيل تواري و
+
+196
+00:14:19,570 --> 00:14:23,210
+توصيل توازن في عندي قانون ohm في عندي قانون لل
+
+197
+00:14:23,210 --> 00:14:27,470
+capacitor في عندي قانون لل inductor هذه كل القانون
+
+198
+00:14:27,470 --> 00:14:31,190
+ماتتغيرش بيبقى زي ما هي بس مجرد الطيار بدل ما هو
+
+199
+00:14:31,190 --> 00:14:36,150
+ثابت الطيار متردد ohm's law is still hold بيبقى
+
+200
+00:14:36,150 --> 00:14:39,590
+قانون ohm بيبقى زي ما هوfor AC circuit يعني
+
+201
+00:14:39,590 --> 00:14:43,350
+القانون بيقول القيار بيساوي فرق الجهد على R هذه
+
+202
+00:14:43,350 --> 00:14:50,610
+فرق الجهد بحطه متردد هذه بيقول يسميها I maximum بس
+
+203
+00:14:51,960 --> 00:14:56,740
+لأن هذه قيمة أظمى فبتصير التيار بما أنه جهد متردد
+
+204
+00:14:56,740 --> 00:15:00,680
+فالتيار متردد بالقطع بالصين زي ما انتوا شايفينها
+
+205
+00:15:00,680 --> 00:15:05,460
+وهي التيار بتطلع من قيمة maximum لقيمة minimum
+
+206
+00:15:05,460 --> 00:15:11,260
+تمام هذه الرسمة لل DC circuit عشان أحول ال AC ل DC
+
+207
+00:15:11,260 --> 00:15:15,150
+لازم يكون خطوانت بتعرفوا كيف انه هادي اول بجلبها
+
+208
+00:15:15,150 --> 00:15:18,650
+هيك بالدايود و بعدين بعمل اكتر من دائرة دايود عشان
+
+209
+00:15:18,650 --> 00:15:22,870
+تصير القمم جانب عيد بحيث انها تكون خط مستقيم زي
+
+210
+00:15:22,870 --> 00:15:27,590
+هيك و برجع ال DC circuit و اللي اللي عنده laptop
+
+211
+00:15:27,590 --> 00:15:33,210
+او حتى الجوال لو تتطلع عليه الشاحن بيكون كتبلك برا
+
+212
+00:15:33,210 --> 00:15:36,550
+ايش هو ال output اللي بتاخده منه ال output غالبا
+
+213
+00:15:36,550 --> 00:15:42,400
+بيكون DC و طبعا يمكن الجوالات تلاتة voltوال .. حسب
+
+214
+00:15:42,400 --> 00:15:46,760
+تلاتة volt تلاتة بون سبعة volt و ال .. و ال laptop
+
+215
+00:15:46,760 --> 00:15:53,340
+بعرفش اتناش .. اتناطر volt ممكن يكون حسب الشغلاء
+
+216
+00:15:53,340 --> 00:15:56,700
+فبالتالي و كلهم كاتبين عليه DC بمعنى اخر هذا
+
+217
+00:15:56,700 --> 00:16:00,160
+الجهاز في ال laptop بتاعه في و انتوا بين وصفه وهذا
+
+218
+00:16:00,160 --> 00:16:04,060
+فيه العلبة دي هذه العلبة الشيية هذه هي بتحولك ال
+
+219
+00:16:04,060 --> 00:16:09,840
+voltage من 220 لل12 و بتحولك إياه من AC لDCو نفس
+
+220
+00:16:09,840 --> 00:16:13,500
+العملية في الجوال الشاحن انت بتحطه مش فيش صغير فيش
+
+221
+00:16:13,500 --> 00:16:17,460
+كبير هذا جهاز اللي جوا هذا برضه يسموه transformer
+
+222
+00:16:17,460 --> 00:16:24,480
+بيحول من AC ل DC و بيعمل تحويل ايضا من 220 volt ل
+
+223
+00:16:24,480 --> 00:16:28,360
+3 volt او 6 volt او اللي بدك اياه حسب في بعض
+
+224
+00:16:28,360 --> 00:16:32,040
+الراديوهات بيشتغلوا على 6 volt او 9 volt بحسب كل
+
+225
+00:16:32,040 --> 00:16:33,660
+هذه الشغلات بتتحول
+
+226
+00:16:39,720 --> 00:16:44,780
+لأ لأ مش بضرورة الطيار برضه انا بتحكم فيه لإنه هذا
+
+227
+00:16:44,780 --> 00:16:51,860
+بيعمل شغلات كتيرة جوا الجهاز transformer تمام طبعا
+
+228
+00:16:51,860 --> 00:16:55,080
+الجود بنكتبه من يوم بطالع ان الجود بيسوي V maximum
+
+229
+00:16:55,080 --> 00:16:59,300
+sine Omega T I بيسوي I maximum sine Omega T و V
+
+230
+00:16:59,300 --> 00:17:04,560
+بيسوي V maximum sine Omega T بالتالي ال sine وهي
+
+231
+00:17:04,560 --> 00:17:07,200
+اللي بتقولي ان هذا الطيار متردد
+
+232
+00:17:16,900 --> 00:17:21,940
+وين؟ بس مافضلناش هنا ماشي دي تي عادي تفرجي على ال
+
+233
+00:17:21,940 --> 00:17:25,380
+sign طبعا في النهاية cosine وال sign اخوة تفرجش
+
+234
+00:17:25,380 --> 00:17:31,640
+معانا طبعا بس هي عشان كده انجلبت ال sign تمام طبعا
+
+235
+00:17:31,640 --> 00:17:34,540
+I maximum و V maximum بيسموها peak current and
+
+236
+00:17:34,540 --> 00:17:38,240
+peak voltage دي معروفة ال peak اللي هي الذروة تمام
+
+237
+00:17:38,240 --> 00:17:45,210
+الآنمشكلة التيار المتردد شباب امين متردد انا في
+
+238
+00:17:45,210 --> 00:17:50,290
+النهاية جديش قيمة التيار الاصل ماجدرش اعرف لإنه
+
+239
+00:17:50,290 --> 00:17:54,370
+إيه القيمة واحدة هو؟ إيه عدد القيم؟ يعني لما أقول
+
+240
+00:17:54,370 --> 00:17:59,530
+أنا التيار نفترض إنه خمس أمبير بقدر أقول التيار
+
+241
+00:17:59,530 --> 00:18:04,050
+دايما خمس أمبير؟لأ مبتير 5000 مرات بيصير ثالث خمسة
+
+242
+00:18:04,050 --> 00:18:07,190
+أمبير و مرات بيصير ثلاثة أمبير و مرات بيصير سفر صح
+
+243
+00:18:07,190 --> 00:18:10,790
+ولا لأ لأن في قيم كتيرة طب اذا احنا بحط الامبير
+
+244
+00:18:10,790 --> 00:18:16,980
+الاميتر ب gas القيمة ايش هي قيمة ال gas هذه؟تمام
+
+245
+00:18:16,980 --> 00:18:19,500
+الارعى most value وفي نفس العملية انا لما اقول ان
+
+246
+00:18:19,500 --> 00:18:23,560
+عندي جهد 220 volt ايش بيسوي؟ كيف اتعرفته 220؟ ايش
+
+247
+00:18:23,560 --> 00:18:26,340
+هي القيمة هذه؟ اذا انا لما يكون في عندي قيمة
+
+248
+00:18:26,340 --> 00:18:29,920
+متغيرة شباب المنطق ياخدي ال average زي ما كنا
+
+249
+00:18:29,920 --> 00:18:34,160
+بيقول والله سيارة بتتحرك من هنا رفح هل كان سرعتها
+
+250
+00:18:34,160 --> 00:18:38,730
+ثابتة؟لأ ايه كانت ويمشي على فحكاية مرة بتسرع و مرة
+
+251
+00:18:38,730 --> 00:18:41,830
+تتنطق لكن في النهاية ممكن اقول كديش كان سرقتها
+
+252
+00:18:41,830 --> 00:18:44,630
+بقول بجيب ال average velocity بجيب ال total
+
+253
+00:18:44,630 --> 00:18:47,030
+distance ع ال total time و بقول هذه ال average
+
+254
+00:18:47,030 --> 00:18:50,610
+velocity اذا الشخص مجتمع متغيرة متعرف عليه ناخد ال
+
+255
+00:18:50,610 --> 00:18:53,210
+average جالي هنا في عندك مشكلة انت كيف تجيب ال
+
+256
+00:18:53,210 --> 00:18:57,310
+average في الرياضيات؟ كيف تجيب ال average؟بنجمحهم
+
+257
+00:18:57,310 --> 00:19:01,370
+ونجسمهم على عددهم طيب لما يكون في عندك أعداد
+
+258
+00:19:01,370 --> 00:19:06,210
+موجبهم بساوي سالبهم كده بيكون ال average؟ سفر طب
+
+259
+00:19:06,210 --> 00:19:11,310
+وال sign من رسمتها مش موجبه بساوي سالبه مش هى موجب
+
+260
+00:19:11,310 --> 00:19:18,630
+وهى سالب خدي الأمر يشبه عبادات بتطلع zeroلما تقول
+
+261
+00:19:18,630 --> 00:19:22,650
+zero ما هو مشكلته في الأول قبل ال average zero
+
+262
+00:19:22,650 --> 00:19:30,350
+امين لكن هل انت مش عندك طيار لأ نرجع لما مرة صار
+
+263
+00:19:30,350 --> 00:19:35,110
+في نقاش انه انا ايش بدي من الطيار انا الطيار بدي
+
+264
+00:19:35,110 --> 00:19:41,780
+منه طاقة كهربيةمن وين اتت الطاقة؟ الطيار اصلا ايش
+
+265
+00:19:41,780 --> 00:19:44,960
+هو؟ حركة الشحنات ولا مش حركة الشحنات؟ اذا اجبرت
+
+266
+00:19:44,960 --> 00:19:49,720
+انا الشحنات انها تتحرك اخدي الطاقة منها وانتش
+
+267
+00:19:49,720 --> 00:19:53,540
+باجبر الشحنات تتحرك اعمل فرق جهود لما تعمل فرق
+
+268
+00:19:53,540 --> 00:19:57,640
+جهود بين طرفي اي سلك تنتقل الشحنات من الاعلى جهود
+
+269
+00:19:57,640 --> 00:20:02,350
+الى الاقل جهود غصب عنهاإذا اتحركت معناته صار في
+
+270
+00:20:02,350 --> 00:20:07,290
+عندي طاقة طاقة حركية سخن السلك صار في طاقة حلوية و
+
+271
+00:20:07,290 --> 00:20:10,910
+هكذا بقول في النهاية في ال DC circuit الإلكترونات
+
+272
+00:20:10,910 --> 00:20:13,890
+بتمشي بالتجاه واحد في ال EC circuit مش بتسوي وراي
+
+273
+00:20:13,890 --> 00:20:19,450
+حاجة هي في الآخر هذه اتحركت وهذه اتحركت انت كمحصلة
+
+274
+00:20:19,450 --> 00:20:22,810
+من هنا ماخد طاقة و من هنا ماخد طاقة يعني لو جيبت
+
+275
+00:20:22,810 --> 00:20:26,430
+انت دفاية دفاية تحت الأصبع البسيطة تحت الكهربا
+
+276
+00:20:26,880 --> 00:20:32,660
+حطيتها في البريز و كان الكهربا جاطعة بتحمر؟ لو جسد
+
+277
+00:20:32,660 --> 00:20:38,480
+الطيار جديش؟ Zero هلجيك بيقوللي الطيار جال فيه
+
+278
+00:20:38,480 --> 00:20:45,030
+كهربا حطيت لبريز و حطيتها بتحمر و تحمرش؟تحمر يعني
+
+279
+00:20:45,030 --> 00:20:48,110
+صار فيك طاقة علارية ولا لأ لكن في نهاية ال average
+
+280
+00:20:48,110 --> 00:20:51,230
+current zero إذا في غير منطقي أنه ال average
+
+281
+00:20:51,230 --> 00:20:55,290
+current zero وانت في الأخر ما موجود قالوا تعوني
+
+282
+00:20:55,290 --> 00:20:58,910
+رياضيات لأ هذه ال average مش هيك تحسب لما يكون
+
+283
+00:20:58,910 --> 00:21:02,170
+القيمة صفر و بالهبلهاش معنى قالوا مافيش أسهل منها
+
+284
+00:21:02,170 --> 00:21:08,190
+تعوني لحظة لقولها مخرج قالوا ربعأول ربع هذه لما
+
+285
+00:21:08,190 --> 00:21:12,750
+تربحها بتصير هيك فقالت لما تاخدها بيبطل موجب و
+
+286
+00:21:12,750 --> 00:21:17,150
+سالب بيصير موجب و يوجب قال اخد الجزء التربيعيلما
+
+287
+00:21:17,150 --> 00:21:20,830
+تاخد الجزء التربيعي خد ال average sorry بعد ما
+
+288
+00:21:20,830 --> 00:21:24,410
+تاخد ال average ارجع خد الجزء التربيعي هذه ال RMS
+
+289
+00:21:24,410 --> 00:21:28,270
+value اذا انا ليش برجل ال RMS value عشان لو جبت ال
+
+290
+00:21:28,270 --> 00:21:30,810
+average وانا مغمض average عادي بتطلع معايا نتيجة
+
+291
+00:21:30,810 --> 00:21:34,790
+zero وهذه مش منطقية مع طبيعة العملية انك انت في
+
+292
+00:21:34,790 --> 00:21:38,950
+الاخر ليش كمان ربقت بقولك في النهاية انت بدك طاقة
+
+293
+00:21:38,950 --> 00:21:43,110
+شباب انا بدي الكهرة بليش بدي عشان اضوي معاه طاقة
+
+294
+00:21:43,110 --> 00:21:48,800
+ضوئيةبدي أشغل الغسالة، بدي طاقة حركية، أشغل الهوا
+
+295
+00:21:48,800 --> 00:21:52,360
+و طاقة حركية، أشغل الدفانة، بدي طاقة حرارية، صح
+
+296
+00:21:52,360 --> 00:21:54,980
+ولا لأ؟ إذا في النهاية أنا بدي طاقة، جالي من أين
+
+297
+00:21:54,980 --> 00:21:58,340
+بيجيب الطاقة؟ جالي الطاقة جاية من البر، اي تربيع
+
+298
+00:21:58,340 --> 00:22:02,310
+في الار، تربع في زمن هي الطاقةإذن الـ Power لها
+
+299
+00:22:02,310 --> 00:22:05,630
+دعوة بالـ I و لا بالـ I تربيع .. لها بالـ I تربيع
+
+300
+00:22:05,630 --> 00:22:09,150
+.. بس سالب ليش قيمة عندك .. مالكاش دعوة وين تنشي
+
+301
+00:22:09,150 --> 00:22:12,990
+.. فالتالي هذه حكاية الـ I تربيع لها معنى كتير ..
+
+302
+00:22:12,990 --> 00:22:16,490
+إنك أنت بدك الشحنات تتحرك .. كيف تتحرك .. بأي
+
+303
+00:22:16,490 --> 00:22:19,570
+اتجاه .. مالكاش دعوة .. المهم تتحرك .. إذا اتحركت
+
+304
+00:22:19,570 --> 00:22:22,870
+.. أخدت الطاقة اللي بدك إياها .. إذن أنا بدي أحافظ
+
+305
+00:22:22,870 --> 00:22:26,930
+على حركة الإلكترونات بمعنى آخر .. صار في عندك تيار
+
+306
+00:22:26,930 --> 00:22:29,850
+.. بغض النظر كيف اتدارش .. حتى لو واحد إيجاه ..
+
+307
+00:22:30,330 --> 00:22:33,750
+المهم في النهاية محصل عليه وبالتالي بيقول it is
+
+308
+00:22:33,750 --> 00:22:37,610
+clear من رسمة ال sine و ال cosine that the average
+
+309
+00:22:37,610 --> 00:22:43,750
+value of an AC is zero this doesn't mean however
+
+310
+00:22:43,750 --> 00:22:46,770
+that no power is needed or that is no heat is
+
+311
+00:22:46,770 --> 00:22:50,190
+produced in a resistor برغم ان ال average is zero
+
+312
+00:22:50,190 --> 00:22:54,730
+لكن هذا لا يعني انه الدفاية ما حمرتش حمرت مع انها
+
+313
+00:22:54,730 --> 00:22:59,720
+في انبعث طاقة حرارية اي تاتيElectrons for EC move
+
+314
+00:22:59,720 --> 00:23:03,980
+forth and back و
+
+315
+00:23:03,980 --> 00:23:10,020
+هي مصدر الطاقة اتحركت تمام it is known that the
+
+316
+00:23:10,020 --> 00:23:12,800
+power dissipated in a resistor is given power وهي
+
+317
+00:23:12,800 --> 00:23:16,000
+قانون ال power اصلا ال power بيسوي I تربيع في ال R
+
+318
+00:23:16,000 --> 00:23:20,960
+ال I انت بتقول عنه AC ربعه هاي ال sign تربيع هي
+
+319
+00:23:20,960 --> 00:23:25,530
+تصين تربيع شباب فيها سالبمش فيها سارب خدي ال
+
+320
+00:23:25,530 --> 00:23:28,470
+average تبعها بيقولي since the current is now
+
+321
+00:23:28,470 --> 00:23:31,930
+squared we see that the power is always positive
+
+322
+00:23:31,930 --> 00:23:35,850
+تمام it is easy to show that the average value of
+
+323
+00:23:35,850 --> 00:23:41,790
+الصين تربيع نص الصين تربيع نص طبعا في اشتقاق رياضي
+
+324
+00:23:41,790 --> 00:23:45,090
+ايه لها طبعا انتوا بتعرفوا ان الصين من واحد لنص من
+
+325
+00:23:45,090 --> 00:23:48,530
+زي ما حاكم من سفر لواحد كيف تعرف صارتها دي average
+
+326
+00:23:48,530 --> 00:23:54,790
+طب و الصين؟والـ sine قدش ال average تبحر؟ لأ
+
+327
+00:23:54,790 --> 00:23:59,170
+average ال sine مش واحد عن واحد مش نص مش نص هذه من
+
+328
+00:23:59,170 --> 00:24:04,110
+يوم اللي جت شباب من العراق اللي انتوا حافظينها قدش
+
+329
+00:24:04,110 --> 00:24:09,810
+هذه؟ واحد ايش بفرج ال sine عن ال cosine؟ ولا اي
+
+330
+00:24:09,810 --> 00:24:15,430
+شيء بس من يوم بدأ من ال phase معناته قاللي هذه حط
+
+331
+00:24:15,430 --> 00:24:19,950
+محلها sine تربية ايه
+
+332
+00:24:19,950 --> 00:24:20,470
+صارت؟
+
+333
+00:24:23,620 --> 00:24:28,380
+إذا صين تربيع بيسوي نص الصين كده؟ واحد عايز زي
+
+334
+00:24:28,380 --> 00:24:33,250
+التاني إذا بيسويش نصفاهم عليا؟ اذا هذه هي من هذه
+
+335
+00:24:33,250 --> 00:24:36,650
+القاعدة من ال identity المشهورة sin تربيع plus
+
+336
+00:24:36,650 --> 00:24:39,070
+cosine تربيع equal to one طبعا انا كتب استبدالها
+
+337
+00:24:39,070 --> 00:24:42,430
+لانه لما نقولك انت لما تجيب average تجيب اي زاوية
+
+338
+00:24:42,430 --> 00:24:46,770
+او اي function sin او cosine وشوفه من النص تقدر
+
+339
+00:24:46,770 --> 00:24:50,130
+تميز بينهم انه sin او cosine؟ لأ في الرياضيات
+
+340
+00:24:50,130 --> 00:24:53,710
+بيعتبروا ال sin و ال cosine نفس ال function بس هي
+
+341
+00:24:53,710 --> 00:24:59,100
+من وين بدي و بس مش اكتر زي ما نقول Fof X و F of X
+
+342
+00:24:59,100 --> 00:25:03,060
+plus E في النهاية ماببفجوش يعني من أين بدي أبدأ
+
+343
+00:25:03,060 --> 00:25:08,660
+مافيش فرق فهذه sin تربيع بتسوي half وبالتالي and
+
+344
+00:25:08,660 --> 00:25:12,740
+so the average value of the power I تربيع is نص I
+
+345
+00:25:12,740 --> 00:25:17,280
+maximum تربيع هذا ال average وبالتالي ال power
+
+346
+00:25:17,280 --> 00:25:24,550
+بتصيرنص I maximum تربيع في R هذا هو ال power و
+
+347
+00:25:24,550 --> 00:25:29,610
+بتساوي نص V maximum تربيع على R عشان مايصيح فينا
+
+348
+00:25:29,610 --> 00:25:32,410
+قوانين كتيرة ايه القوانين اللي بعرفها ال power
+
+349
+00:25:32,410 --> 00:25:37,970
+بتساوي I تربيع في R و بتساوي V تربيع على Rطبعا اذا
+
+350
+00:25:37,970 --> 00:25:41,550
+جاله عشان هذا القانون اللي دلو صار المفعول مانعته
+
+351
+00:25:41,550 --> 00:25:45,930
+هذه I بدا تساوي I maximum ع جزء التربيع إلى اتنين
+
+352
+00:25:45,930 --> 00:25:48,570
+وهذه اللي بيسموها ال RMS value
+
+353
+00:25:51,720 --> 00:25:56,940
+هو ما هو المهم لتخطيط قوة التقارير إذا قيمة أساسية
+
+354
+00:25:56,940 --> 00:26:02,200
+أساسية قيمة أساسية قيمة قيمة قيمة أساسية قيمة قيمة
+
+355
+00:26:02,200 --> 00:26:03,080
+قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة
+
+356
+00:26:03,080 --> 00:26:03,080
+قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة
+
+357
+00:26:03,080 --> 00:26:03,300
+قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة
+
+358
+00:26:03,300 --> 00:26:03,300
+قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة
+
+359
+00:26:03,300 --> 00:26:03,400
+قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة قيمة
+
+360
+00:26:03,400 --> 00:26:10,700
+قيمة قيمة قيمة قيمة
+
+361
+00:26:10,700 --> 00:26:16,490
+قيمة قالـ mean هو الـ average الـ squares المربع
+
+362
+00:26:16,490 --> 00:26:19,590
+بتاخد ال average للمرور التربيع وبعدين بتاخد ال
+
+363
+00:26:19,590 --> 00:26:22,890
+square root ف ال root main square وهذه قاعدة
+
+364
+00:26:22,890 --> 00:26:26,790
+إحصائية مشهورة لما يكون عندك ال average zero يكون
+
+365
+00:26:26,790 --> 00:26:30,830
+في عندك plus و minus بتربع بتاخد ال average وبعدين
+
+366
+00:26:30,830 --> 00:26:36,630
+بتاخد الجزء التربيعي فإذا معناتهالـ I RMS Value
+
+367
+00:26:36,630 --> 00:26:39,250
+لأي قيمة هي الـ I مكسيما مع جزء تربيعي للتانين
+
+368
+00:26:39,250 --> 00:26:44,010
+النص هي التربيع لما ناخد من ال sign لحالها واحد
+
+369
+00:26:44,010 --> 00:26:50,210
+عزر التانين هذه هي القيمة الفعالة اللي أنت بتجيسها
+
+370
+00:26:50,210 --> 00:26:54,930
+و اللي أنت لما تقول الجهود 220 volt معناته هذه
+
+371
+00:26:54,930 --> 00:27:00,690
+قيمة ايش؟ ال RMS Value للجهودأو ال RMS Value للقرن
+
+372
+00:27:00,690 --> 00:27:05,210
+هذه هي القيام ال V RMS بيساوي Maximum عجز بالتانية
+
+373
+00:27:05,210 --> 00:27:09,450
+The RMS value of V and I are sometimes called the
+
+374
+00:27:09,450 --> 00:27:11,150
+effective values في المعمل اللي أخدته هو effective
+
+375
+00:27:11,150 --> 00:27:15,410
+valuesEffective values او RMS values واحد they are
+
+376
+00:27:15,410 --> 00:27:17,930
+useful because they can be substituted directly
+
+377
+00:27:17,930 --> 00:27:21,650
+into the famous power formula بالتالي بصير ال
+
+378
+00:27:21,650 --> 00:27:29,690
+power بيساوي I RMS V RMS نفس القانون I في V بس I
+
+379
+00:27:29,690 --> 00:27:34,790
+هنا RMS و V هنا VRMSنفس المعاملين والخوانين
+
+380
+00:27:34,790 --> 00:27:38,690
+بالنسبة للدور ما تغيروش بس ال I بيعني فيها الارمس
+
+381
+00:27:38,690 --> 00:27:45,130
+ال V بيعني فيها الارمس هنا ارمس و هنا RMS وبالتالي
+
+382
+00:27:45,130 --> 00:27:48,850
+it is the RMS value that are specified or measured
+
+383
+00:27:50,220 --> 00:27:55,020
+بالتالي الميters و الولت ميters اجهزة القياس مصممة
+
+384
+00:27:55,020 --> 00:27:57,660
+لقياس قيم المعامل المتواجدة على قيم المعامل
+
+385
+00:27:57,660 --> 00:27:59,100
+المتواجدة على قيم المعامل المتواجدة على قيم
+
+386
+00:27:59,100 --> 00:28:00,280
+المعامل المتواجدة على قيم المعامل المتواجدة على
+
+387
+00:28:00,280 --> 00:28:00,560
+قيم المعامل المتواجدة على قيم المعامل المتواجدة
+
+388
+00:28:00,560 --> 00:28:01,280
+على قيم المعامل المتواجدة على قيم المعامل
+
+389
+00:28:01,280 --> 00:28:02,320
+المتواجدة على قيم المعامل المتواجدة على قيم
+
+390
+00:28:02,320 --> 00:28:03,200
+المعامل المتواجدة على قيم المعامل المتواجدة على
+
+391
+00:28:03,200 --> 00:28:05,580
+قيم المعامل المتواجدة على قيم المعامل المتواجدة
+
+392
+00:28:05,580 --> 00:28:13,720
+على قيم المعامل المتواجدة على قيم المعامل
+
+393
+00:28:13,720 --> 00:28:16,620
+المتواجدة علىلذلك عندما نقول ان عدد الارمس في
+
+394
+00:28:16,620 --> 00:28:25,780
+بلدنا 220 فولت يعني أن عدد الارمس 220 فولت يعني
+
+395
+00:28:25,780 --> 00:28:28,380
+220 فولت يعني 220 فولت
+
+396
+00:28:35,340 --> 00:28:40,240
+وبالتالي 311 volt تقريبا هذه أكبر قيمة لها يعني هو
+
+397
+00:28:40,240 --> 00:28:46,160
+جهد بتفاوت ما بين 311 و-311 واحد بيقول طب ليش أنا
+
+398
+00:28:46,160 --> 00:28:50,220
+ماشوفش بضوي و بطفي هذا مش هو alternating ليش بطفيش
+
+399
+00:28:50,220 --> 00:28:54,320
+و بضوي لأنه سريع جدا شوفوا تركب بعمل 50 دورة في
+
+400
+00:28:54,320 --> 00:28:57,860
+الثانية في الثانية 50 دورة يعني شغل سريع جدا
+
+401
+00:28:57,860 --> 00:29:04,490
+وبالتالي انت بتلاحظش هذا الشغلتمام حاجة بنسميها
+
+402
+00:29:04,490 --> 00:29:08,270
+الphasers ونشوف ليش بيجيبوا الphaser بيقوللي انت
+
+403
+00:29:08,270 --> 00:29:12,310
+تيار متردد وحلو فهمناه طيب التيار المتردد و الجهد
+
+404
+00:29:12,310 --> 00:29:15,850
+المتردد هذا كيف بيبقى يتعامل معاه بكرا في الجامعة
+
+405
+00:29:15,850 --> 00:29:19,630
+يعني بمعنى اخر خليني اطبق كيرشوف ايش هو كيرشوف
+
+406
+00:29:19,630 --> 00:29:23,790
+بيقوللي اجمع جميع الجهود حوالين اي closed loop
+
+407
+00:29:23,790 --> 00:29:27,830
+بتسويها في zero مظبوط ولا لأ طبعا خليني اجمع هدول
+
+408
+00:29:27,830 --> 00:29:32,820
+ال two functions I functionوخلّيني أسميها I
+
+409
+00:29:32,820 --> 00:29:37,140
+-function كيف بدنا نجمعهم هذين الـ two functions؟
+
+410
+00:29:37,140 --> 00:29:43,320
+هجيتنا افترض لو هذه خمسة هذه و هذه تلاتة هل بتقدر
+
+411
+00:29:43,320 --> 00:29:49,420
+تقول جمعهم تمانية؟ لأ ليه؟ بتقول لما هذه خمسة، هذه
+
+412
+00:29:49,420 --> 00:29:54,180
+إيش كانت؟ مش عارف هل كانت تلاتة و لا كانت اتنين و
+
+413
+00:29:54,180 --> 00:29:58,040
+لا كانت صفر؟ لو كانت هذه هنا بدأت من الصفر هنا
+
+414
+00:29:58,040 --> 00:30:02,560
+لطلع .. لو هنابطرة تلاتة يمكن واحد بالتالي كده
+
+415
+00:30:02,560 --> 00:30:06,200
+تجمع باعتمد على انهم كيف يكونوا مع بعض زي ال
+
+416
+00:30:06,200 --> 00:30:10,020
+vectors شباب هجيت لو تلاتة و أربع جالدي جمعهم
+
+417
+00:30:10,020 --> 00:30:14,140
+العاديين سبعة لو تنتين كانوا في ال X بقول جمعهم
+
+418
+00:30:14,140 --> 00:30:16,180
+سبعة لو واحدة في ال X واحدة في ال Y جالدي جمعهم
+
+419
+00:30:16,180 --> 00:30:20,990
+خمسةلو بينهم زاوية لها خمسة ولا سبعة إذا معناته
+
+420
+00:30:20,990 --> 00:30:24,570
+كيف تتعامل معاهم هدول؟ قالوا بدي أعملهم زي ال
+
+421
+00:30:24,570 --> 00:30:27,810
+vectors وبالتالي عشان أقدر أتعامل معاهم كرياضيات
+
+422
+00:30:27,810 --> 00:30:32,190
+وكحساب كل كمية من كمية هدول بدي أمثلهم ب vector
+
+423
+00:30:32,190 --> 00:30:37,020
+هذا ال vector بيسمونه phasorالـ vector اللي بيمثل
+
+424
+00:30:37,020 --> 00:30:41,240
+الكمية المترددة سموه phasor إيش هو ال phasor؟
+
+425
+00:30:41,240 --> 00:30:46,160
+بتعرفوا بعدين إيش أستخدمه it is a quantum clock
+
+426
+00:30:46,160 --> 00:30:50,000
+while rotating vector هو vector ويدور ضد عقارب
+
+427
+00:30:50,000 --> 00:30:50,520
+الساعة
+
+428
+00:30:53,300 --> 00:30:56,840
+بيمثل ال a c quantity و ال a c quantity عندي two
+
+429
+00:30:56,840 --> 00:31:00,740
+quantities ال current و الجهود ال current و الجهود
+
+430
+00:31:00,740 --> 00:31:04,840
+such that its length represents the maximum value
+
+431
+00:31:04,840 --> 00:31:08,340
+of the quantity and its projection onto the
+
+432
+00:31:08,340 --> 00:31:12,040
+vertical axis represents the instantaneous value
+
+433
+00:31:12,040 --> 00:31:18,720
+of the quantity خليني أرسمه إيش هو ال phaser؟بأرسم
+
+434
+00:31:18,720 --> 00:31:25,860
+Y Axis و X Axis هذي ممكن يكون V و ممكن يكون طيارة
+
+435
+00:31:25,860 --> 00:31:32,420
+بقول Vector بلف
+
+436
+00:31:32,420 --> 00:31:38,720
+ضد عقارب الساعة هي Omega طوله بمثل ال maximum
+
+437
+00:31:38,720 --> 00:31:46,500
+value او مسقطه على ال Y Axis بمثل MI او V اتفعى
+
+438
+00:31:46,500 --> 00:31:52,420
+عادىهذا ال bus قط و هو بيلف و بدله ثابت؟لأ إذا
+
+439
+00:31:52,420 --> 00:31:56,980
+القيمة اللحظية بتتغير لو هذا كان على ال X axis كم
+
+440
+00:31:56,980 --> 00:32:00,980
+قيمة اللحظية؟ Zero لما هذا يكون على ال Y axis كم
+
+441
+00:32:00,980 --> 00:32:05,020
+قيمة؟ أكبر قيمة بيعود برجع Zero ولا برجع Zero؟
+
+442
+00:32:05,020 --> 00:32:08,940
+بيعود برجع سالب إذا لو هذا بلف بعملي ال sine wave
+
+443
+00:32:08,940 --> 00:32:12,440
+ولا لأ؟ بعملي ال sine wave لكن بهذا الشكل بقدر
+
+444
+00:32:12,440 --> 00:32:15,200
+أتعامل معاه أسهل بصيط زي ال vector و بتعامل معاه ك
+
+445
+00:32:15,200 --> 00:32:18,360
+vector لما يكون عندي vector أو vector زي هيك بقدر
+
+446
+00:32:18,360 --> 00:32:22,210
+أجمعهمبقى ليه ما أحط sin و cos؟ vector و vector من
+
+447
+00:32:22,210 --> 00:32:25,390
+نفس الاتجاه بيمحوا معادي، إذا أنا بيتعامل من يوم
+
+448
+00:32:25,390 --> 00:32:31,010
+ما طالع مع الكميات المترددة بجدالة ال phasors و ال
+
+449
+00:32:31,010 --> 00:32:35,290
+phasor هو vector طوله بيمثل ال maximum value
+
+450
+00:32:35,290 --> 00:32:39,730
+للكمية و مصقطه على ال y-axis بيمثل القيمة اللحظية
+
+451
+00:32:39,730 --> 00:32:45,750
+للكمية و هو بدور ضد عقارب الساعة دعيني أشوف أول
+
+452
+00:32:45,750 --> 00:32:50,160
+مثال قبل ما نخش بتفاصيل الشرطةبيقول لي في عندي
+
+453
+00:32:50,160 --> 00:32:55,540
+microwave القدرة تبعته 900 واط ال microwave is
+
+454
+00:32:55,540 --> 00:32:59,860
+designed to operate في بلادنا 220 volt محطوط و
+
+455
+00:32:59,860 --> 00:33:02,820
+مصنع بيقول لي ايش بدك calculate its resistance
+
+456
+00:33:02,820 --> 00:33:07,440
+بيقولك المقاومة اللي جوا ايش بتساويand the peak
+
+457
+00:33:07,440 --> 00:33:10,780
+current when it is operating بدي تجيب جديش طيار
+
+458
+00:33:10,780 --> 00:33:14,440
+لما تحطه في الفيش لو حطيت أميتر جديش بقيت الطيار
+
+459
+00:33:14,440 --> 00:33:17,860
+بدي الطيار و بدي ال peak طبعا أنا الأميتر بيجيس
+
+460
+00:33:17,860 --> 00:33:21,860
+ليه؟ القيارة mass تمام؟ بدي أجيب ال peak بضربه
+
+461
+00:33:21,860 --> 00:33:25,780
+فيها زي تربيعي لتني طبعا هو إيش بعطيني؟ إيش 900
+
+462
+00:33:25,780 --> 00:33:30,100
+watt هذي؟ power أنا بعرف إن ال power .. حُكوا
+
+463
+00:33:30,100 --> 00:33:33,340
+القوانين يا شباب I تربيع على الأرض بس هم إيش
+
+464
+00:33:33,340 --> 00:33:44,220
+بيسميها؟و بتسوي I في ال V و بتسوي V تربيع ال R ال
+
+465
+00:33:44,220 --> 00:33:48,460
+R مالهاش علامات ال R مقدار ثابت هاي قوانينا إيش
+
+466
+00:33:48,460 --> 00:33:55,900
+بده هو بده R تمام I معطينيها مش معطينيهاهنا
+
+467
+00:33:55,900 --> 00:33:59,260
+ماتعطيني ال V ولا مش ماتعطيني؟ ماتعطيني اذا انا من
+
+468
+00:33:59,260 --> 00:34:06,040
+هذا القانون بقدر اقول R بتسوى VRMS على ال بوة
+
+469
+00:34:06,040 --> 00:34:09,800
+بتسوى
+
+470
+00:34:09,800 --> 00:34:19,040
+220 تربيع على ال بوة 900 بتطلع معايا سهلة اذا هي
+
+471
+00:34:19,040 --> 00:34:22,900
+ال R بعد كده بدي التيار بدي التيار بجيب هذا
+
+472
+00:34:22,900 --> 00:34:27,570
+القانونصحيح ولا لأ؟ حاجة تقوم بجيبني ال I RMS عشان
+
+473
+00:34:27,570 --> 00:34:30,890
+اجيب ال peak بدله في جزاك 2 إذا في النهاية حاجة
+
+474
+00:34:30,890 --> 00:34:34,410
+سؤال اكتر سنة اللي أخدها واحد زيه في ال DC circuit
+
+475
+00:34:34,410 --> 00:34:37,570
+لما كنا عندنا heater إذا كنتوا ذاكرين مرة كان في
+
+476
+00:34:37,570 --> 00:34:41,190
+عندي heater وكيف نجيب المقاومة تبعته في أحد ال
+
+477
+00:34:41,190 --> 00:34:46,830
+chapter خمسة أعتقد إلى الخامستمام solution to find
+
+478
+00:34:46,830 --> 00:34:50,170
+the resistance we have ال R بيساوي V أرمس تربيه
+
+479
+00:34:50,170 --> 00:34:54,750
+على ال power طلعناها طلعت حوالي 54 Ohm عشان أطلع
+
+480
+00:34:54,750 --> 00:34:59,010
+التيار جبت القانون ال power بيساوي ال I في ال V و
+
+481
+00:34:59,010 --> 00:35:04,330
+طلعته حوالي 4.1 أمبير وبالتالي ال I maximum طلعت
+
+482
+00:35:04,330 --> 00:35:08,210
+حوالي 5.8 أمبير هذه زي ما انت شايفين أسئلة مباشرة
+
+483
+00:35:08,210 --> 00:35:11,590
+على القوانين اللي بتعرفوها مجرد التيار والجهد
+
+484
+00:35:11,590 --> 00:35:17,770
+صاروا أرمس مش أكترمتعامل معاه تمام الان بدنا نخش
+
+485
+00:35:17,770 --> 00:35:21,210
+على الدوائر نشوف الدوائر ايش بيصير فيها يا شباب
+
+486
+00:35:21,210 --> 00:35:26,190
+اول دائرة بيقوللي احط مصدر للتيار المتردد بيحط
+
+487
+00:35:26,190 --> 00:35:31,310
+مقاومة وشوفلي العلاقة بين جهد المقاومة وتيار
+
+488
+00:35:31,310 --> 00:35:35,490
+المقاومة جهد المقاومة وتيار المقاومة resistors in
+
+489
+00:35:35,490 --> 00:35:39,650
+AC circuit هى اللي انا .. هى عندي دائرة الان هاد
+
+490
+00:35:39,650 --> 00:35:47,430
+ايش بطاريةمش بطارية اش بطلع alternating voltage
+
+491
+00:35:47,430 --> 00:35:51,690
+بكتب V بيسوي maximum sine omega T V بيسوي maximum
+
+492
+00:35:51,690 --> 00:35:55,070
+sine omega T بيقول يطلعلي التياري اللي بيمر في
+
+493
+00:35:55,070 --> 00:35:58,870
+المقاومة ويفجبلي فرق الجهد بين طرفي المقاومة من
+
+494
+00:35:58,870 --> 00:36:00,830
+يقولي قديش فرق الجهد بين طرفي المقاومة
+
+495
+00:36:03,410 --> 00:36:07,950
+هو نفسه اللي تحت ولا لا؟ نفسه و هاد شغله معروفة
+
+496
+00:36:07,950 --> 00:36:12,050
+نقول let Vr be the voltage of some instant across
+
+497
+00:36:12,050 --> 00:36:16,510
+the resistor Vr هو جهد المقاومة this voltage must
+
+498
+00:36:16,510 --> 00:36:20,130
+equal to the voltage of the E source هذا هو هاي Vr
+
+499
+00:36:20,130 --> 00:36:23,590
+هذا فرق الجهد بين طرفي المقاومة قال يجيب التيار
+
+500
+00:36:23,590 --> 00:36:27,150
+كيف بتجيب التيار قانون ايش اللي بيجيب التيار قانون
+
+501
+00:36:27,150 --> 00:36:33,200
+Ohm قانون OhmThe current passing through the
+
+502
+00:36:33,200 --> 00:36:41,780
+resistor is I V R على R هى ال V اوله و قولت هى دى
+
+503
+00:36:41,780 --> 00:36:47,720
+حسب قانون اهم بتساوي I I بتساوي I maximum sine
+
+504
+00:36:47,720 --> 00:36:54,790
+Omega T دمى ده اللى قارن هى جهود و هى تيارالجهد
+
+505
+00:36:54,790 --> 00:37:02,670
+ثابت sin ωt التيار ثابت sin ωt انت بتساوي صفر جدش
+
+506
+00:37:02,670 --> 00:37:09,510
+ال V انت بتساوي صفر جدش ال V و جدش ال I صفر طيب
+
+507
+00:37:09,510 --> 00:37:12,590
+عند الزمن اللي بيكون V بيساوي V maximum التيار ايش
+
+508
+00:37:12,590 --> 00:37:16,230
+بيكون برضه maximum مظبوط ولا لأ اذا ايش معناته
+
+509
+00:37:16,230 --> 00:37:19,050
+بيقول هدول ماشيين مع ضائقلما واحد منهم يكون
+
+510
+00:37:19,050 --> 00:37:20,930
+maximum والثاني maximum لما واحد يكون minimum
+
+511
+00:37:20,930 --> 00:37:23,430
+والثاني يكون minimum بمعنى آخر ممكن تجمعهم جامعه
+
+512
+00:37:23,430 --> 00:37:26,910
+عادي وكانوا two vectors في نفس الاتجاه شباب تمام؟
+
+513
+00:37:26,910 --> 00:37:30,470
+في هذه الحالة بسميهم التاني مع بعض in phase لهم
+
+514
+00:37:30,470 --> 00:37:38,410
+نفس طور in phase لأنهم بيصلوا وبينتهيوا مع بعضas
+
+515
+00:37:38,410 --> 00:37:43,330
+it is clear هاي القاعدة تبعتنا بيقول the current I
+
+516
+00:37:43,330 --> 00:37:47,610
+and the voltage V across a resistors in a pure
+
+517
+00:37:47,610 --> 00:37:51,550
+resistive AC circuit are in phase في دوائر اللي
+
+518
+00:37:51,550 --> 00:37:55,950
+فيها فقط مقاومة بيكون التيار والجهود ماشيين مع بعض
+
+519
+00:37:55,950 --> 00:38:03,150
+in phase لو بدي أرسمهم هايهذا الجهد الأحمر لو بدأت
+
+520
+00:38:03,150 --> 00:38:07,910
+أرسم الطيار بلون مختلف أزرق المفروض أبدأ من هنا
+
+521
+00:38:07,910 --> 00:38:13,730
+لما يكون maximum يكون maximum بيكون هيك واحدة
+
+522
+00:38:13,730 --> 00:38:17,230
+بتمثل الجهد واحدة بتمثل الطيار من أكبر الطيار
+
+523
+00:38:17,230 --> 00:38:20,410
+والجهد؟ ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟
+
+524
+00:38:20,410 --> 00:38:21,670
+ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟ ممكن أشترك
+
+525
+00:38:21,670 --> 00:38:21,770
+برنامجك؟ ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟
+
+526
+00:38:21,770 --> 00:38:25,170
+ممكن أشترك برنامجك؟ ممكن أشترك برنامجك؟ ممكن أشترك
+
+527
+00:38:25,170 --> 00:38:31,440
+برنامجك؟ ممكنعشرة volt وهذا اتنين امبير مظبوط ولا
+
+528
+00:38:31,440 --> 00:38:36,620
+لا تفرجش تمام خلينا نرسمها ك فيزر هذه حلوة بس
+
+529
+00:38:36,620 --> 00:38:41,020
+بتغلب في التعامل معها قالوا هيك نرسمها هاي ال volt
+
+530
+00:38:42,250 --> 00:38:47,370
+Vector بدور ضد عقارب الساعة هذه V maximum الطول
+
+531
+00:38:47,370 --> 00:38:53,390
+هذه VR اللعبية كي بدوسم التيار بنفس الاتجاه
+
+532
+00:38:53,390 --> 00:38:58,450
+فبدوسمه هيك ببدأ من هنا و ماشي هذين المسكين إذا
+
+533
+00:38:58,450 --> 00:39:01,490
+بقعدوا ماشين لما واحد يكون maximum التاني بيكون
+
+534
+00:39:01,490 --> 00:39:04,250
+معاه maximum لما واحد يكون zero التاني بيكون zero
+
+535
+00:39:04,250 --> 00:39:08,020
+معاه و هكذابهيك يُرسى مكافئة زاز بصير التعامل
+
+536
+00:39:08,020 --> 00:39:10,960
+معاهم سهل ال two vectors are in the same direction
+
+537
+00:39:10,960 --> 00:39:14,780
+وبالتالي الجامعه بيكون عادي غير لما يكون واحد
+
+538
+00:39:14,780 --> 00:39:20,200
+بينهم زاوية بتتعامل معاهم بطريقة مختلفة إذا
+
+539
+00:39:20,200 --> 00:39:23,780
+المعلومة الأولى اللى جمعناها أنه لما يكون في عندكم
+
+540
+00:39:23,780 --> 00:39:28,860
+شماب resistor بيكون التيار والجهد انفذ التيار
+
+541
+00:39:28,860 --> 00:39:34,720
+والجهد انفذ نيجي نشوف لو كان في عندك inductor أخدت
+
+542
+00:39:34,720 --> 00:39:42,690
+ال inductorماذا هو الاندكتر؟ الملف ماهو الملف؟
+
+543
+00:39:42,690 --> 00:39:43,590
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+544
+00:39:43,590 --> 00:39:43,590
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+545
+00:39:43,590 --> 00:39:44,350
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+546
+00:39:44,350 --> 00:39:44,870
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+547
+00:39:44,870 --> 00:39:45,350
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+548
+00:39:45,350 --> 00:39:45,410
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+549
+00:39:45,410 --> 00:39:45,410
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+550
+00:39:45,410 --> 00:39:48,810
+ماهو الملف؟ ماهو الملف؟ ماهو الملف؟ ماهو الملف؟
+
+551
+00:39:48,810 --> 00:39:56,850
+ماهو الملف؟ ماهو الملف؟
+
+552
+00:39:56,850 --> 00:40:03,120
+ماهذا هو القانون اللي بربط الفرق الجهد مع التيار
+
+553
+00:40:03,120 --> 00:40:09,260
+بالنسبة الكباسيتر ال V تبع الكباسيتر بالسواء Q على
+
+554
+00:40:09,260 --> 00:40:15,820
+C طبعا بالنسبة لمقاومة VR بالسواء IFR هدول التلات
+
+555
+00:40:15,820 --> 00:40:21,360
+عناصر اللي أنا بستخدمهم نجي لهان عشان اجيب التيار
+
+556
+00:40:21,360 --> 00:40:26,120
+بقول فوائد كامل هذهمظبوط؟ عشان أديه بالتيار بيقول
+
+557
+00:40:26,120 --> 00:40:30,360
+الكامل هذه طيب الملف كيف .. إيش أخدنا عنه معلومات
+
+558
+00:40:30,360 --> 00:40:33,300
+أنتي بيساوي سيفر كيف بيشتغل أو أنتي بيساوي مانا
+
+559
+00:40:33,300 --> 00:40:39,360
+نهاية كيف بيشتغل؟ الملف او
+
+560
+00:40:39,360 --> 00:40:43,360
+بال .. و أنتي بيساوي مانا نهاية يعني بيصيب silic
+
+561
+00:40:43,360 --> 00:40:45,660
+عادي ولا لأ طيب لما يقول short circuit كده
+
+562
+00:40:45,660 --> 00:40:52,330
+مقاومته؟ zero مقاومته zero طيب ال capacitor؟العكس
+
+563
+00:40:52,330 --> 00:40:55,350
+لما يقول open circuit يعني انجدش المقاومة بتكون لل
+
+564
+00:40:55,350 --> 00:40:59,270
+open circuit infinity مظبوطه للغاية خلينا نجرب ايش
+
+565
+00:40:59,270 --> 00:41:03,550
+بتصير معانا و نعمل مقارنة بيقولني هاي دائرتك هاي
+
+566
+00:41:03,550 --> 00:41:07,810
+ملف اتفقنا احنا وياكم الملف مشغولش الا عن تسكير
+
+567
+00:41:07,810 --> 00:41:11,210
+وفتح الدائرةوقلنا هذا في دوائر الطيارة المترددة
+
+568
+00:41:11,210 --> 00:41:14,890
+وقلنا في الطيارة المترددة لكن مستمر في دوائر
+
+569
+00:41:14,890 --> 00:41:19,790
+الطيارة المترددة بيشتغل على طول لأن أنا شغله طول
+
+570
+00:41:19,790 --> 00:41:22,890
+ما فيه تغير في ال flux وما زال الطيارة مترددة لأن
+
+571
+00:41:22,890 --> 00:41:25,910
+ال flux متغير لأن ال magnetic field is changeable
+
+572
+00:41:25,910 --> 00:41:31,560
+تمامبقول كمان مرة فرق الجهد بين طرفي ال inductor
+
+573
+00:41:31,560 --> 00:41:35,340
+بيسوي نفسه فرق الجهد بين طرفي ال source هذه قاعدة
+
+574
+00:41:35,340 --> 00:41:39,940
+معروفة بيقول VL بيسوي V maximum sine Omega T بيقول
+
+575
+00:41:39,940 --> 00:41:43,880
+خلينا دي بالتيارة الآن let find the current
+
+576
+00:41:43,880 --> 00:41:48,580
+passing through the inductor هي القانون تبعي VL
+
+577
+00:41:48,580 --> 00:41:52,880
+بيسوي سالب LDI على DT طبعا انا هنا ليش جمت السالب
+
+578
+00:41:52,880 --> 00:41:59,640
+شباب؟ليش هذا الانجام؟ اشو هذا هو اصلا؟ مش هاد ال
+
+579
+00:41:59,640 --> 00:42:04,540
+lens مش هاد ال lens اللي حدده مش بحددلي فرق الجهد
+
+580
+00:42:04,540 --> 00:42:09,320
+في ال alternating current في جهد اتجاه واحد مش مرة
+
+581
+00:42:09,320 --> 00:42:13,280
+هيك و مرة هيك اذا ابطل اللي معناه هنا انجام تمام
+
+582
+00:42:13,280 --> 00:42:17,080
+لان انا و كده باخدي جهد ال absolute value تمام
+
+583
+00:42:17,080 --> 00:42:23,060
+قللي هاي قانونك بقول الآن I بالساوي واحد على L
+
+584
+00:42:23,060 --> 00:42:32,330
+تكامل VLDTV الهيه حطها ايش تكامل ال signسالب كوصين
+
+585
+00:42:32,330 --> 00:42:36,490
+تفاجئوا لل sign كوصين و تكامل ال sign سالب كوصين
+
+586
+00:42:36,490 --> 00:42:41,310
+تفاجئوا لل كوصين سالب sign و تكامل الكوصين sign
+
+587
+00:42:41,310 --> 00:42:44,550
+طبعا ثابت بتطلع برا فانا عندي هنا ثابت بصي واحد
+
+588
+00:42:44,550 --> 00:42:49,470
+على omega L بتعرفوا اه طلعت هيك جل التيار sign لكن
+
+589
+00:42:49,470 --> 00:42:54,030
+ال جهد sign لكن التيار كوصين و ال sign و الكوصين
+
+590
+00:42:54,030 --> 00:42:57,540
+بيمشوا مع بعضبمشوش مع بعض الـ sine و الـ cosine
+
+591
+00:42:57,540 --> 00:43:02,320
+إذا صروا مش انفز طب كيف أبدأ أعمل مقارنة؟ أقول لك
+
+592
+00:43:02,320 --> 00:43:05,580
+عشان تعمل مقارنة صح حول ال cosine ل ال sine عشان
+
+593
+00:43:05,580 --> 00:43:08,200
+تعرف تقارن في مكمية حول ال cosine ل ال sine يا
+
+594
+00:43:08,200 --> 00:43:12,700
+شباب تزيد 90 درجة و برجس 90 درجة مظبوط ولا لا؟
+
+595
+00:43:12,700 --> 00:43:16,600
+بقول هنا في عندك سالب cosine Omega T بدي أشتغل
+
+596
+00:43:16,600 --> 00:43:20,380
+عليها بقول using the identity الذاكرين هذا ال
+
+597
+00:43:20,380 --> 00:43:26,930
+identity؟Sin A زائد او ناقص B كان في عنده علاقة
+
+598
+00:43:26,930 --> 00:43:31,750
+دائما موجودة على اما في اخر كتاب الcalculus او ع
+
+599
+00:43:31,750 --> 00:43:38,950
+الجلدة SIN A plus or minus B ايش بتساوي SIN A plus
+
+600
+00:43:38,950 --> 00:43:46,590
+sorry SIN B plus or minus SIN A SIN B هذه العلاقة
+
+601
+00:43:46,590 --> 00:43:51,480
+اللى بدى اشتغل عليهاماهو الـ A عندي؟ الـ B جاء في
+
+602
+00:43:51,480 --> 00:43:58,220
+Tبايع اتنين فبقول لي sign omega t في cos بايع
+
+603
+00:43:58,220 --> 00:44:02,480
+اتنين جديش cos بايع اتنين؟ سفر راح اتعودت للأولى
+
+604
+00:44:02,480 --> 00:44:09,620
+التانية sign ال بايع اتنين واحد و cosine ال omega
+
+605
+00:44:09,620 --> 00:44:13,800
+t قد هي موجودة فهذه الصيغة بتطلع اذا قال لي راح ال
+
+606
+00:44:13,800 --> 00:44:18,640
+cosine طلعناها هكذا اذا التيار طلع بهذه الصيغة قال
+
+607
+00:44:18,640 --> 00:44:19,440
+لي ميجي ليها دى
+
+608
+00:44:23,180 --> 00:44:30,320
+هذه أوميجا وهذه L الهنري ألف
+
+609
+00:44:30,320 --> 00:44:36,280
+أوميجا هنري وهذه ع سكنت الهنري ماذا يعني؟ Volt
+
+610
+00:44:36,280 --> 00:44:39,680
+سكنت
+
+611
+00:44:39,680 --> 00:44:47,440
+على أمبير هذه لم يذهب أحد ثم Volt على أمبير وطلعت
+
+612
+00:44:47,440 --> 00:44:57,710
+O إذا هذه الكمية Oوفورت على اوم طيّر صح طب هذه اوم
+
+613
+00:44:57,710 --> 00:45:02,170
+الكمية الفيزيائية اللي وحدتها اوم انا مش بعرفها
+
+614
+00:45:02,170 --> 00:45:06,970
+مقاومة طب علماء جوا حطوا مقاومة و لفوق قالوا ايه
+
+615
+00:45:06,970 --> 00:45:14,010
+المقاومة عرفت كل العالم مرتبطة بها الرمزصح هذا ملف
+
+616
+00:45:14,010 --> 00:45:17,630
+كبدي أعمله مقاومة لكن في النهاية فيزيائيًا هي
+
+617
+00:45:17,630 --> 00:45:21,910
+مقاومة لأن واحد اتحقه جاله عشان ما تغلبش حالنا
+
+618
+00:45:21,910 --> 00:45:25,950
+نرجع للمعنى العربي ايش الفرق بين ممانعة ومقاومة
+
+619
+00:45:25,950 --> 00:45:30,770
+لغويا و ليش في النهاية جاله قالاش يسميها مقاومة
+
+620
+00:45:30,770 --> 00:45:35,490
+سميوها ممانعة تمام لكن المعنى اللغوي واحد هذا
+
+621
+00:45:35,490 --> 00:45:41,490
+بقاوم هذا بمانع او تاني بقاوم فسمواوميجا في ال
+
+622
+00:45:41,490 --> 00:45:48,890
+ممانعة reactive تمام؟ اذا مارضوش يسموها مخامة عشان
+
+623
+00:45:48,890 --> 00:45:51,870
+مايصليش في misunderstanding و confusion بين
+
+624
+00:45:51,870 --> 00:45:55,550
+المصطلحات العلمية قالوا خلاص زي ما سمينا ال
+
+625
+00:45:55,550 --> 00:45:58,530
+permeability و ال permativity واحدة لكن عشان
+
+626
+00:45:58,530 --> 00:46:03,190
+يميزوا بينهمإذا جاله I maximum هادي بيساوي V
+
+627
+00:46:03,190 --> 00:46:08,010
+maximum وماسموهاش R ادوها رمز X طبعا حطوا X لل L
+
+628
+00:46:08,010 --> 00:46:12,810
+لإنه حيكون عندي X لل C كمان لكبسطر XL الشياء XL
+
+629
+00:46:12,810 --> 00:46:17,330
+بيساوي Omega في L إذا هادي الشياء شباب مقاومة
+
+630
+00:46:17,330 --> 00:46:23,570
+inductive reactance reactance الممانعة الحثية كلمة
+
+631
+00:46:23,570 --> 00:46:27,550
+ممانعة ومقاومة واحدة بدنا نصل لشغل معينة نرجع
+
+632
+00:46:27,550 --> 00:46:31,680
+لدوائر التيار المستمرانا لما اكون مسكت دائرتي اللى
+
+633
+00:46:31,680 --> 00:46:37,560
+كنت راسمها توي هي هيك و هي مصدر وماشي هيك وبقوللي
+
+634
+00:46:37,560 --> 00:46:42,660
+اشتغل بعد منا كام دقيقة ايش بتعتبر الزمن قال الى
+
+635
+00:46:42,660 --> 00:46:45,600
+السفر ولا الى المنه نهاية الى المنه نهاية الاصل
+
+636
+00:46:45,600 --> 00:46:52,590
+ايه كيفش الملف يشتغل جديش مقاومتهzero يعني ممانعته
+
+637
+00:46:52,590 --> 00:46:56,130
+المفروض يكون zero طب هدف دوائر التيار المستمر اللي
+
+638
+00:46:56,130 --> 00:46:59,410
+بتحكيه طب في دوائر التيار المستمر كيف التيار
+
+639
+00:46:59,410 --> 00:47:02,910
+المتردد بيخلي أنا مستمر ايش أسوي؟ ايش أخلي أوميجا
+
+640
+00:47:02,910 --> 00:47:07,350
+تبعته؟ zero لو أوميجا سوى أتسفر قداش XL في ال
+
+641
+00:47:07,350 --> 00:47:12,660
+zero، برجع تيار مستمرإذا هذه المعلوم ما بتتناقضش
+
+642
+00:47:12,660 --> 00:47:16,700
+مع معلومة تحت التيار المستمر انه بعد زمن طويل
+
+643
+00:47:16,700 --> 00:47:21,760
+الملف مالوش مقاومة اللي ممانعة فقط في تواير التيار
+
+644
+00:47:21,760 --> 00:47:25,120
+المتعدد لكن ممانعته في تواير التيار المستمر مش
+
+645
+00:47:25,120 --> 00:47:30,560
+موجودة وإجت الممانعة نتيجة عمل ال Inductor نتيجة
+
+646
+00:47:30,560 --> 00:47:35,040
+التغير اللي بيصير بالفكسلكن لما يثبت ال flux و
+
+647
+00:47:35,040 --> 00:47:38,720
+يثبت المجال المغناطيسي بيبطل الملافق له أي ممانعة
+
+648
+00:47:38,720 --> 00:47:44,000
+عشان كده أميجا لما تكون zero XL في دوائر التيار
+
+649
+00:47:44,000 --> 00:47:47,520
+المستمر مش موجودة موجودة فقط في دوائر التيار
+
+650
+00:47:47,520 --> 00:47:50,760
+المتردد لما تكون أميجا إيها قيمة لكن لما تكون
+
+651
+00:47:50,760 --> 00:47:54,640
+الأميجا بتساوي zero خلاص برجع انه Silk عادي و
+
+652
+00:47:54,640 --> 00:47:59,630
+مالوش أي عمل و بيضلوا عادي مافيش أي مشكلةفعندما
+
+653
+00:47:59,630 --> 00:48:06,350
+نقارن ال V بتساوي V maximum Sin Omega T ال I
+
+654
+00:48:06,350 --> 00:48:12,370
+بتساوي I maximum Sin Omega T نقص بقى على 2 هذا هما
+
+655
+00:48:12,370 --> 00:48:17,930
+ايش معناته بيقول التيار بيختلف عن الجهد ب 90 درجة
+
+656
+00:48:17,930 --> 00:48:23,130
+وعشان السالب بيقول التيار بيتأخر عن الجهد ب 90
+
+657
+00:48:23,130 --> 00:48:29,290
+درجة التيار the current Ilegs behind legs يعني
+
+658
+00:48:29,290 --> 00:48:34,590
+اتأخر legs behind the voltage across an inductor
+
+659
+00:48:34,590 --> 00:48:38,030
+in a pure inductive AC circuit by 90 degree اللي
+
+660
+00:48:38,030 --> 00:48:42,030
+هي by عتنين اذا في دوائر التيار المتردد اللي فيها
+
+661
+00:48:42,030 --> 00:48:47,030
+فقط inductor بيكون دائما التيار متأخر عن الجهد
+
+662
+00:48:47,030 --> 00:48:51,450
+بتسعين درجة لو يجيب دا عصوم هو ناصم بقول هاي الجهد
+
+663
+00:48:52,500 --> 00:48:55,660
+حاجات الطيار هذي لما يكون Zero وهذا متأخر لأنه لسه
+
+664
+00:48:55,660 --> 00:48:59,460
+مش واصل هذي لما يكون maximum هذي لسه Zero و هكذا
+
+665
+00:48:59,460 --> 00:49:04,660
+أحلى رسمة ال phasers لو نريد أن نرسم ال phasers هي
+
+666
+00:49:04,660 --> 00:49:09,680
+ال V كيف نرسم الطيار لأنه متأخر بديه يتأخر 90 درجة
+
+667
+00:49:12,660 --> 00:49:17,780
+طبعا واضح لما يكون هذا سفر هذا اين بيكون بيكون هذا
+
+668
+00:49:17,780 --> 00:49:20,680
+maximum بس سالب لما يكون هذا maximum مهما ده ايش
+
+669
+00:49:20,680 --> 00:49:24,140
+بيكون سفر لإن لما يكون هذا هان هذا بساله هان و
+
+670
+00:49:24,140 --> 00:49:29,620
+هكذا اذا هذه الرسمة بتوضح ان الجهد الأحمر متقدم عن
+
+671
+00:49:29,620 --> 00:49:34,000
+التيار او التيار متأخر عن الجهد و الزاوية 90 درجة
+
+672
+00:49:34,000 --> 00:49:38,840
+هذا فقط لما يكون فيه inductor only inductor only
+
+673
+00:49:38,840 --> 00:49:39,680
+تمام
+
+674
+00:49:42,150 --> 00:49:47,990
+نشوف الكاباسيتر ايش بيصير فيه هاي
+
+675
+00:49:47,990 --> 00:49:51,810
+الكاباسيتر حطيت كاباسيتر طبعا خلينا نشوف
+
+676
+00:49:51,810 --> 00:49:55,410
+الكاباسيتر ايش بيسوي شباب هو الاصل انا لما احط
+
+677
+00:49:55,410 --> 00:49:59,710
+كاباسيتر مع بطارية الاصل ان الكاباسيتر بيشحن صح
+
+678
+00:49:59,710 --> 00:50:04,930
+ولا لأ خلاص بينتلي ايش بيصير في التيار بيجفليه
+
+679
+00:50:04,930 --> 00:50:09,030
+شجعه مجيف؟ لأنه صار جهد المكثف يسوي جهد البطارية
+
+680
+00:50:09,030 --> 00:50:13,430
+وقلت عن المكثف انتلة ولمّا أقول انتلة معناته مافيش
+
+681
+00:50:13,430 --> 00:50:15,870
+مجال للشحنات تتحرك من البطارية و تروح على
+
+682
+00:50:15,870 --> 00:50:19,810
+الكباسيتار ولمّا تتوقف حركة الشحنات في تيار، مافيش
+
+683
+00:50:19,810 --> 00:50:22,830
+تيار عشان كده سميته open circuit في ديائر التيار
+
+684
+00:50:22,830 --> 00:50:25,670
+المطرد دي المشكلة إيش؟ إنه أنا بملي، بعدين بروح
+
+685
+00:50:25,670 --> 00:50:29,510
+بعكس، بروح بفضي، بعدين بروح بملي، بعدين بروح بفضي،
+
+686
+00:50:29,510 --> 00:50:34,510
+فبظل رايح جاي، تيار بيجفشليش؟ لأن هو هذا .. لما
+
+687
+00:50:34,510 --> 00:50:36,890
+كان هذا positive نيجاتيف هذا صار positive نيجاتيف
+
+688
+00:50:36,890 --> 00:50:39,830
+لما انضلق .. بيبقى يفضل .. بيبقى عايز يصير
+
+689
+00:50:39,830 --> 00:50:42,130
+negative positive .. بيبقى عاوز بينقلب .. فبيبقى
+
+690
+00:50:42,130 --> 00:50:44,970
+ليهش .. لإن هو بيقلب جاعد .. هذا بيقلب مش زي
+
+691
+00:50:44,970 --> 00:50:48,750
+البطارية عنده قطب بيبقوا مقبوط بهذه .. قطب موجب
+
+692
+00:50:48,750 --> 00:50:51,870
+دائما .. فبصير هذه موجب و هذه سالب .. لكن هنا لا
+
+693
+00:50:51,870 --> 00:50:55,110
+.. هذه مرة بيكون مرتبط مع قطب موجب و مرة مع قطب
+
+694
+00:50:55,110 --> 00:50:58,350
+سالب .. فبيبقى رايحة جاي الشحنات بين طرفين ال
+
+695
+00:50:58,350 --> 00:51:00,990
+capacitor .. وبالتالي لو في عندك هنا ال meter
+
+696
+00:51:03,870 --> 00:51:06,690
+بيهمدش، بيجافش، ليش؟ لإن هاد ايش كي بيشتغل، بيقول
+
+697
+00:51:06,690 --> 00:51:10,100
+طول ما الشحنات بتتحرك أنا بيده أتحركمظبوط ولا لأ؟
+
+698
+00:51:10,100 --> 00:51:12,400
+طول ما الشحنات بتتحرك مانتوا في طيار وانا بجيص
+
+699
+00:51:12,400 --> 00:51:17,220
+طيار طب هذه الشحنات انتلت عودت رجعت عودت راحت عودت
+
+700
+00:51:17,220 --> 00:51:20,220
+رجعت في النهاية في حركة بس خليني أقول Germanometer
+
+701
+00:51:20,220 --> 00:51:22,240
+مرة بأعمل هيك ومرة بأعمل هيك مرة بأعمل هيك ومرة
+
+702
+00:51:22,240 --> 00:51:25,880
+بأعمل هيك اذا في حركة دائمة تما ما مافيش إمكانية
+
+703
+00:51:25,880 --> 00:51:29,360
+يكون في open circuit نوي أن يكون open circuit زي
+
+704
+00:51:29,360 --> 00:51:32,740
+ال DC circuit نقول بعد زمن معين صار في عندي open
+
+705
+00:51:32,740 --> 00:51:36,020
+circuit لأنه وجي في الطيار والطيار لا يقف إلا في
+
+706
+00:51:36,020 --> 00:51:39,580
+ال open circuit خليني أشوف إيش بيوصل معاناو يشوف
+
+707
+00:51:39,580 --> 00:51:46,080
+المقارنة مع ال DC circuit بقول كمان مرة فرق الجهد
+
+708
+00:51:46,080 --> 00:51:49,500
+بين طرفي المكثف بنتفق انه بيساوي فرق الجهد بين
+
+709
+00:51:49,500 --> 00:51:52,800
+طرفي ال source ولا لأ؟ اذا فرق الجهد بين طرفي
+
+710
+00:51:52,800 --> 00:51:56,560
+الكباسيتر بيساوي في maximum sine Omega T بدي اجيب
+
+711
+00:51:56,560 --> 00:52:00,180
+التيار الآن انا بدي احج ال Vanometer و بدي اجيسه
+
+712
+00:52:00,180 --> 00:52:03,400
+ايه بيجيب التيار؟ قال لي لو جبت الشحنات على
+
+713
+00:52:03,400 --> 00:52:08,280
+الكباسيتر بتقدر تجيب التيار؟بفاضل لأن I بيساوي DQ
+
+714
+00:52:08,280 --> 00:52:12,060
+على DT بقوله to find the current passing through
+
+715
+00:52:12,060 --> 00:52:16,280
+the capacitor we have بديه بأول Q Q بيساوي C في V
+
+716
+00:52:16,280 --> 00:52:21,140
+و I بيساوي DQ على DT I بيساوي DQ على DT اذا I
+
+717
+00:52:21,140 --> 00:52:27,480
+بيساوي DQ على DT C ثابتة DVC على DT هي VC الان بدي
+
+718
+00:52:27,480 --> 00:52:32,070
+افاضل الشباب ايش تفاضل ال sign؟كوصين تطلع أوميجا و
+
+719
+00:52:32,070 --> 00:52:36,150
+لا تطلع أوميجا تطلع أوميجا فصاد هي ال C وهي V
+
+720
+00:52:36,150 --> 00:52:39,770
+maximum وهي أوميجا وهي كوصين أوميجا T إذا هذي ال
+
+721
+00:52:39,770 --> 00:52:43,030
+sign وهذه ال كوصين إذا مش مع بعض برضه لكن إيش
+
+722
+00:52:43,030 --> 00:52:46,190
+المشكلة هناك كانت في سلب هنا في موجب فالموجب بيصير
+
+723
+00:52:46,190 --> 00:52:51,610
+كوصين sign أوميجا T زائد بيعتنين بيصير زائد
+
+724
+00:52:51,610 --> 00:52:58,270
+بيعتنين المشكلة هنا شباب قبل ما نحول ع signهذه V
+
+725
+00:52:58,270 --> 00:53:03,190
+maximum و C و Omega وهذه تيارة هذه لازم تكون
+
+726
+00:53:03,190 --> 00:53:07,670
+وحدتها أمبير لازم تكون وحدتها أمبير لأن الكصانف
+
+727
+00:53:07,670 --> 00:53:11,450
+ليش إلا واحدة Omega في T طب نرجع أحطها V maximum
+
+728
+00:53:11,450 --> 00:53:17,350
+مضروبة في C و في Omega هذه بقول لازم تكون وحدتها
+
+729
+00:53:17,350 --> 00:53:21,350
+أمبير طب هذه ليش وحدتها إذا هذه لازم تكون وحدتها
+
+730
+00:53:21,350 --> 00:53:28,850
+واحد على أمعشان واحد على ام
+
+731
+00:53:28,850 --> 00:53:34,190
+عشان يصير vote على ام هي الامبير واحد على ام اذا
+
+732
+00:53:34,190 --> 00:53:41,050
+هذه واحد على ام اذا لازم يكون في عند واحد على c
+
+733
+00:53:41,050 --> 00:53:46,650
+omega بتسوي مقاومة لازم تسوي مقاومة واحد على c
+
+734
+00:53:46,650 --> 00:53:51,600
+omega لان ام مقاومةجاي بيرجع كمان مرة المقامة هذه
+
+735
+00:53:51,600 --> 00:53:57,280
+R جاية من الرمز هذا شفتك رمز غيره اتفقنا على ال X
+
+736
+00:53:57,280 --> 00:54:03,440
+فجاله خليها X فبهديك XL جالك خليها XC برضه كمان
+
+737
+00:54:03,440 --> 00:54:07,370
+مرة جاله ماسميها Resistance ساميها Reactanceسامحها
+
+738
+00:54:07,370 --> 00:54:12,570
+ممانعة نرجع مقارنة بال DC circuit بقى نقول open
+
+739
+00:54:12,570 --> 00:54:15,850
+circuit open circuit مقاومة تدوى جديش جاليزميرتو
+
+740
+00:54:15,850 --> 00:54:19,570
+مانا نهاية لما هدي ال C صفر في ال DC circuit جديش
+
+741
+00:54:19,570 --> 00:54:24,360
+المقاومة بصي مانا نهاية إذا في ال DC circuitمقاومة
+
+742
+00:54:24,360 --> 00:54:28,360
+الكاباسيتر بتساوي مالة نهاية عشان كده بيقول التيار
+
+743
+00:54:28,360 --> 00:54:32,880
+لا يمر بيصير open circuit والتيار بيمر في مقاومة
+
+744
+00:54:32,880 --> 00:54:37,440
+مقاومة مالة نهاية لأ اذا برضه في consistent في
+
+745
+00:54:37,440 --> 00:54:40,320
+توافق ما بين ال DC circuits اللي أخدناها في
+
+746
+00:54:40,320 --> 00:54:43,740
+الشباتير الماضية وال EC circuit اللي بناخدها الآن
+
+747
+00:54:43,740 --> 00:54:47,560
+اللي انطبق على ال DC circuit قديما لينطبق الآن
+
+748
+00:54:47,750 --> 00:54:50,670
+حكاية ان الكباسيتر اكت از a short circuit او open
+
+749
+00:54:50,670 --> 00:54:54,090
+circuit وكذلك الملاف لاينطبق على EC circuit شباب
+
+750
+00:54:54,090 --> 00:55:01,070
+فقط هذهك خاصة بال DC circuits بس ..بالتالي اتفقنا
+
+751
+00:55:01,070 --> 00:55:04,630
+انه using the identity بتحول ال cosine الآن لصين
+
+752
+00:55:04,630 --> 00:55:08,490
+فصارت عندي ال I بتسوي ال sine Omega T زائد بعتنين
+
+753
+00:55:08,490 --> 00:55:12,660
+الان الطيارة بتأخر ولا بتقدم؟بتخدم لأن فيه زايد
+
+754
+00:55:12,660 --> 00:55:16,860
+فبساوي طبعا ال I maximum بساوي بيه maximum على XC
+
+755
+00:55:16,860 --> 00:55:19,940
+وال XZ زي ما حكينا انه هذه لما تصير صفر هتصير
+
+756
+00:55:19,940 --> 00:55:23,860
+مانهية وهذا متفقين مع بعض is called the capacitive
+
+757
+00:55:23,860 --> 00:55:27,200
+reactance هديك inductive reactance وهدي ال
+
+758
+00:55:27,200 --> 00:55:30,740
+capacitive reactance لما اجي ارسم او خليني احط
+
+759
+00:55:30,740 --> 00:55:36,440
+الملاحظة التالتةبيقول اللي the current I مش lags،
+
+760
+00:55:36,440 --> 00:55:43,140
+leads، يتقدم ال voltage by 90 درجة، إذن الآن
+
+761
+00:55:43,140 --> 00:55:48,960
+التيار بتقدمطبعا هنا بدى ارسم فصار التيار الأزرق
+
+762
+00:55:48,960 --> 00:55:54,940
+بتقدم على الأحمر هذا سفر هذا فوق هذا maximum هذا
+
+763
+00:55:54,940 --> 00:55:58,660
+بيكون zero و هكذا و طبعا هنا زى ما انتوا شايفين
+
+764
+00:55:58,660 --> 00:56:03,440
+انه التيار بتقدم على الجهد بتسعين درجة هذا لما
+
+765
+00:56:03,440 --> 00:56:07,200
+يكون سفر هذا بيكون maximum و هذه الزاوية تسعين
+
+766
+00:56:07,200 --> 00:56:13,530
+درجة تمام الآنمقاومة لحالها الطيار والجهد مع بعض
+
+767
+00:56:13,530 --> 00:56:19,290
+اندكترا لحاله الطيار بتأخر 90 درجة كبسطا لحاله
+
+768
+00:56:19,290 --> 00:56:24,330
+الطيار بيتقدم 90 درجة المرة الجاية ايه بنا نسوي
+
+769
+00:56:24,330 --> 00:56:28,110
+بنا
+
+770
+00:56:28,110 --> 00:56:32,160
+ناخد التلاتة هدول مع بعضهل جيت التلاتة هدول؟ كيف
+
+771
+00:56:32,160 --> 00:56:35,980
+بتتعامل معهم؟ اتطلعوا شباب الاصل لو واحد هو مغمض
+
+772
+00:56:35,980 --> 00:56:38,820
+وماعندهش معلومات كتيرة يقول هدول كيف متصنين
+
+773
+00:56:38,820 --> 00:56:41,100
+التلاتة؟ خليهم متلاكم القوامات مش متصنين على
+
+774
+00:56:41,100 --> 00:56:44,810
+التواليالـ R equivalent في التوالي مش R واحد زي R
+
+775
+00:56:44,810 --> 00:56:48,290
+اتنين زي R تلاتة انت جولي انت تفهم هذي R هذي انت
+
+776
+00:56:48,290 --> 00:56:52,810
+محطتهاش R اشولا محطتها تحط XL و هذي XC المنطق يقول
+
+777
+00:56:52,810 --> 00:56:57,150
+R زي XL زي XC مش هيك المنطق لكن بما انه عشاننا
+
+778
+00:56:57,150 --> 00:57:01,450
+نتعامل مع AC circuits الجمع بصحش هيك لأن زي جمع ال
+
+779
+00:57:01,450 --> 00:57:06,930
+vectors بينفعش 4 زي 3 يصي 7 دائما ممكن 4 زي 3 يصي
+
+780
+00:57:06,930 --> 00:57:12,970
+5 وبالتالي الـ R equivalent هنابتسويش R زي XL زي
+
+781
+00:57:12,970 --> 00:57:19,870
+XC بديك تتعامل معها بشوية دقة
+
+782
+00:57:19,870 --> 00:57:24,590
+وملاحظات كتير تاخدها في الإعتبار ان هل هدول مع بعض
+
+783
+00:57:24,590 --> 00:57:29,870
+ولا عكس بعد ولا إيش الزاوية طيب لما كانت R لحالها
+
+784
+00:57:30,920 --> 00:57:35,360
+كانوا مع بعض لما كانت هذه لحالها كان التيار بتأخر
+
+785
+00:57:35,360 --> 00:57:39,180
+لما كانت هذه لحالها التيار صار يتقدم طب لما كانت
+
+786
+00:57:39,180 --> 00:57:42,680
+تلاتة مع بعض كيف بتصير؟ مع بعض ولا بده يتقدم ولا
+
+787
+00:57:42,680 --> 00:57:48,720
+بده يتأخر مع بعض لأ بده يتقدم أو يتأخر ماعرفش لو
+
+788
+00:57:48,720 --> 00:57:54,320
+هذه كانت كبيرة إذا التيار بده يتأخرلأنه ايش؟ بصي
+
+789
+00:57:54,320 --> 00:57:58,180
+الصفاتها هي الغالبة، لو هذه كبيرة، معناته صفاتها
+
+790
+00:57:58,180 --> 00:58:02,020
+هي الغالبة، وصفاتها الطيار بتقدم، لما يكون التلاتة
+
+791
+00:58:02,020 --> 00:58:05,520
+مع بعض، بيقولوا لا بده يتأخر، لا بده يتقدم، مقدش
+
+792
+00:58:05,520 --> 00:58:08,920
+يتزاوي، الله أعلم، طبعا قطعا مش 90 درجة، صح ولا
+
+793
+00:58:08,920 --> 00:58:13,840
+لا؟ اربعين، خمسة واربعين، تلاتين، حسب القيماذا
+
+794
+00:58:13,840 --> 00:58:18,300
+حتطلع عندي اعلى قيمة للتيار والجهود بدي اجيب علاقة
+
+795
+00:58:18,300 --> 00:58:22,500
+ما بين فرق الجهود هنا لهنا والتيار اللي مارر الان
+
+796
+00:58:22,500 --> 00:58:26,720
+مبدأ التوالي والتوازي بيتغيرش التلاتة كم بتوصيل
+
+797
+00:58:26,720 --> 00:58:32,100
+على دول؟ الشوة الثابت بينهمالتيار بقدر اقول تيار
+
+798
+00:58:32,100 --> 00:58:36,240
+هادي وتيار هادي وتيار هادي واحد صح اذا بقدر اقول
+
+799
+00:58:36,240 --> 00:58:40,080
+هذه الكلام لان هو اصلا جالي series RLC circuit RLC
+
+800
+00:58:40,080 --> 00:58:43,600
+circuit جاية من ال R والL والC جالي اشتغل طبعا
+
+801
+00:58:43,600 --> 00:58:46,700
+هنشتغلها المرة الجاية ونشتغلها أحكاية ال vectors
+
+802
+00:58:46,700 --> 00:58:48,880
+ونجيب العلاقة اللي بدنا إياها ونعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7e0ed3350e359fd7108142b4b222e11f615cabb7
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/J4wnpWfU8HI_raw.srt
@@ -0,0 +1,3280 @@
+1
+00:00:10,180 --> 00:00:15,500
+بسم الله الرحمن الرحيم نكمل الأمثلة اللى كانت على
+
+2
+00:00:15,500 --> 00:00:19,880
+ال continuous charge distribution اتفقنا عشان نجيب
+
+3
+00:00:19,880 --> 00:00:23,360
+شدة المجال الكعربائى for continuous charge
+
+4
+00:00:23,360 --> 00:00:26,940
+distribution we have to divide the distribution
+
+5
+00:00:26,940 --> 00:00:32,150
+into small elementsثم نجد المجال الكهربائي بسبب
+
+6
+00:00:32,150 --> 00:00:36,310
+واحدة من هذه المجالات و بعد ذلك نتجرع على جميع
+
+7
+00:00:36,310 --> 00:00:37,050
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+8
+00:00:37,050 --> 00:00:37,230
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+9
+00:00:37,230 --> 00:00:38,790
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+10
+00:00:38,790 --> 00:00:41,910
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+11
+00:00:41,910 --> 00:00:44,870
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+12
+00:00:44,870 --> 00:00:46,790
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+13
+00:00:46,790 --> 00:00:47,410
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+14
+00:00:47,410 --> 00:00:51,630
+المجالات التي تتجرع على المجالات التي تتجرع على
+
+15
+00:00:51,630 --> 00:00:54,950
+المجالات التي تتجرع
+
+16
+00:00:57,290 --> 00:01:01,490
+A ring of radius capital R has a uniform charge
+
+17
+00:01:01,490 --> 00:01:05,830
+distribution of magnitude capital Q. Calculate the
+
+18
+00:01:05,830 --> 00:01:09,030
+electric field along the axis of the ring at a
+
+19
+00:01:09,030 --> 00:01:12,450
+point P lying a distance capital D from the center
+
+20
+00:01:12,450 --> 00:01:16,710
+of the ring يعني هاي ال ring شباب هذه كلها مشحونة
+
+21
+00:01:16,710 --> 00:01:21,930
+كل المنطقة الزرقى مليانة شحنات طبعا هذه ring دائرة
+
+22
+00:01:21,930 --> 00:01:27,040
+بس محطوبة عشان هيك محطوبة واضح تمام؟أيش مقلوب؟
+
+23
+00:01:27,040 --> 00:01:30,040
+بيقولي اوجد شدة نصف قطرة capital R زي ما هم الدينة
+
+24
+00:01:30,040 --> 00:01:33,560
+بده شدة المجال الكهربائي عند نقطة P وهذه النقطة P
+
+25
+00:01:33,560 --> 00:01:37,540
+بتبعد مسافة D عن ال center تبع ال ring اذا دائما
+
+26
+00:01:37,540 --> 00:01:41,360
+زي ما اتفقنا احنا مع بعض انه وين بده المجال
+
+27
+00:01:41,360 --> 00:01:45,260
+الكهربائي يحدد اليك ويعطي اليك هنا بيقولك find the
+
+28
+00:01:45,260 --> 00:01:48,740
+electric field at a point P و ال point B along the
+
+29
+00:01:48,740 --> 00:01:52,220
+axis of the ring and a distance capital D from the
+
+30
+00:01:52,220 --> 00:01:57,330
+center of the ringالشيء قطوة اتفقنا عليها اول حاجة
+
+31
+00:01:57,330 --> 00:01:59,970
+ايش بدي اسوي في الـ charge distribution؟ بدي اجسمه
+
+32
+00:01:59,970 --> 00:02:04,790
+لعناصر و بدي اختار عنصر تمام؟ اذا لو جينا نقول ال
+
+33
+00:02:04,790 --> 00:02:09,170
+solution again we divide the ring into small
+
+34
+00:02:09,170 --> 00:02:13,430
+elements each of its charge dq وهذا برضه اخدناها
+
+35
+00:02:13,430 --> 00:02:18,130
+ان ال charge لأي عنصر لازم يكون dq هذه .. هذه عنصر
+
+36
+00:02:18,130 --> 00:02:22,090
+شايفينه يا شباب؟ الأحمر هذا عنصر واحد من هذه
+
+37
+00:02:22,090 --> 00:02:26,820
+العناصر الكتيرةالخطوة التالية بدي اجيب مجال هذا
+
+38
+00:02:26,820 --> 00:02:30,940
+العنصر العنصر is a point مش ممكن اعتبره point ولا
+
+39
+00:02:30,940 --> 00:02:36,200
+لا في عندي قانون لل point بيقول E بيسوي KQ على R²
+
+40
+00:02:36,200 --> 00:02:39,900
+مظبوط؟ اذا عشان اجيب سدة المجال بدي اجيب ال
+
+41
+00:02:39,900 --> 00:02:42,500
+direction تبعه على اعتبار انه positive برضه ال
+
+42
+00:02:42,500 --> 00:02:46,480
+positive الاتجاه كيف بتعامل معاه؟ out يعني كيف
+
+43
+00:02:46,480 --> 00:02:51,170
+تتوقعش سدة المجال يكون؟من الشحنة اللى هو العنصر
+
+44
+00:02:51,170 --> 00:02:54,510
+اللى أحمر و بروح على ال point و بطلع مش بيكون هيك
+
+45
+00:02:54,510 --> 00:03:00,410
+هذه DQ هذه الخطة الأخضر ولا لأ؟ فى إشكالية؟ هدف
+
+46
+00:03:00,410 --> 00:03:05,770
+IDE طب تمام الآن بدى تبدأ القانون القانون إيش
+
+47
+00:03:05,770 --> 00:03:09,110
+بيقول K
+
+48
+00:03:09,890 --> 00:03:14,850
+بدل كيو حبيت دي كيو لان دي كيو هي شحنة العنصر على
+
+49
+00:03:14,850 --> 00:03:19,410
+R² وين R²؟ شايفينها وين؟ مش هديك بقدر أجيبها من في
+
+50
+00:03:19,410 --> 00:03:23,730
+فورس بقدر أجيبها بالظبط capital R تربيه ذات
+
+51
+00:03:23,730 --> 00:03:27,710
+capital D تربيه تحت الجزر تطلع عندى small r سهلة
+
+52
+00:03:28,350 --> 00:03:32,050
+القطة التالية بيقول لي كامل بس كامل مع كامل حطلي
+
+53
+00:03:32,050 --> 00:03:36,050
+ملاحظة أنت بتتعامل مع vectors بدك تنتبه إذا كل
+
+54
+00:03:36,050 --> 00:03:39,610
+العناصر لديهم نفس الاتجاه كامل وإلا بدك تاخد فعلي
+
+55
+00:03:39,610 --> 00:03:43,670
+اعتبار أنه كله مركبة على حده صح ولا لأ أفلتكم كمان
+
+56
+00:03:43,670 --> 00:03:46,510
+مرة و نص الدقيقة وكل واحد يتخيل عنصر غير عنصر اللي
+
+57
+00:03:46,510 --> 00:03:52,110
+أخدته أنا وشوف اتجاه المجال تبعه بختلف ولا مختلفش؟
+
+58
+00:03:52,110 --> 00:03:57,150
+بختلف لأنه لو أنا جيبت عنصر شباب ham مش بده يتصحك
+
+59
+00:03:59,740 --> 00:04:04,720
+بالنسبة لها اذا اتجاهات عاملة بتتغير بنفع اجمع
+
+60
+00:04:04,720 --> 00:04:08,680
+تلاتة I و خمسة J و اقول عليهم تمانية لأ اذا ايه
+
+61
+00:04:08,680 --> 00:04:14,180
+يسوي قال حلل كل مركب على حد اشتغل مظبوط ولا لأ دام
+
+62
+00:04:14,180 --> 00:04:17,360
+اذا حكالي هنا هذا المجابة اللي عملت فيه في غورس
+
+63
+00:04:17,360 --> 00:04:20,400
+انا ماانتوا عارفينها هذه مافيش فيها مشكلة بيقولي
+
+64
+00:04:20,400 --> 00:04:23,500
+because of the symmetry قاللي عندك في شغل حلو الآن
+
+65
+00:04:23,500 --> 00:04:29,090
+ان المحور الصيني هذا شايفينهجسم ال ring إلى جسمين
+
+66
+00:04:29,090 --> 00:04:32,790
+متساويين ولا لأ؟ واحد علوي واحد سفلي؟ صح ولا لأ؟
+
+67
+00:04:32,790 --> 00:04:35,730
+فى symmetry بسميها يعني فى عندي تماثل ما بين
+
+68
+00:04:35,730 --> 00:04:39,570
+المنطقة العلوية والمنطقة السفلية ايش يعني؟ لو فوق
+
+69
+00:04:39,570 --> 00:04:42,770
+فى عندي مت عنصر تحتها كم عنصر لازم يكون؟ مية صح
+
+70
+00:04:42,770 --> 00:04:47,790
+ولا لأ؟ طيب ابدأ اعمل test انت بين كل عنصر فوق و
+
+71
+00:04:47,790 --> 00:04:50,230
+ايش بيقابله تحت بيقول because of the symmetry
+
+72
+00:04:50,230 --> 00:04:58,580
+above the x axisWe should note that هناك
+
+73
+00:04:58,580 --> 00:05:02,040
+عنصر
+
+74
+00:05:02,040 --> 00:05:08,100
+مشابه ومناظر تحت لازم يكون below the x-axis which
+
+75
+00:05:08,100 --> 00:05:11,420
+is also located a distance r from b وبتكون برضه
+
+76
+00:05:11,420 --> 00:05:17,240
+على نفس البعد rخلّيني اختار عنصر تاني .. هاي عنصر
+
+77
+00:05:17,240 --> 00:05:20,400
+تاني .. هذا الانصر مش بناظر اللي فوق .. لو جيتك
+
+78
+00:05:20,400 --> 00:05:23,080
+جيجيستها دي مسافة مش بده تكون برضه R .. نفس الـR
+
+79
+00:05:23,080 --> 00:05:28,500
+فوق .. طلعت directions .. زي بعيد .. مش عكس هنا ..
+
+80
+00:05:28,500 --> 00:05:33,310
+فجيهم عن بعيد .. مفهوم .. كل حلل ..حلّله .. مظبوط
+
+81
+00:05:33,310 --> 00:05:35,970
+ولا لأ؟ بنحلّله و نشوف .. اجمع المراكبات السنية
+
+82
+00:05:35,970 --> 00:05:39,110
+لحال و المراكبات السادية لحال و بتريح عليك .. تمام
+
+83
+00:05:39,110 --> 00:05:42,690
+.. هذه الـDE .. نرجع هنا .. بيقول .. this element
+
+84
+00:05:42,690 --> 00:05:46,870
+اللي هو التحتاني produces an equal field .. برضه
+
+85
+00:05:46,870 --> 00:05:50,790
+DE .. but differing in direction .. نفس الـDE لأنه
+
+86
+00:05:50,790 --> 00:05:53,750
+نفس العنصر و نفس المسافة .. لكن ال direction مختلف
+
+87
+00:05:53,750 --> 00:05:58,360
+.. جالي عشان أشرة بدي أحلّله .. أحلّه ..بيقول اشون
+
+88
+00:05:58,360 --> 00:06:03,000
+in the figure خلينا نحلل بعدين شايفين الفجانية كيف
+
+89
+00:06:03,000 --> 00:06:07,440
+اتحللت ملاحظين واحدة positive scene والتانية
+
+90
+00:06:07,440 --> 00:06:13,000
+positive صار التحللية كيف بدأت تحلل ايه
+
+91
+00:06:13,000 --> 00:06:17,310
+صار في الصادشة بقىلغوا بعض ولا مالغوش بعض لأنهم
+
+92
+00:06:17,310 --> 00:06:22,030
+equal و opposite in direction إذا المجموعهم zero
+
+93
+00:06:22,030 --> 00:06:25,370
+بيقول I shown in the figure the vertical
+
+94
+00:06:25,370 --> 00:06:30,030
+components of these to feel cancel one another صح
+
+95
+00:06:30,030 --> 00:06:33,510
+ولا لأ؟ and this will be hard for each such pair
+
+96
+00:06:33,510 --> 00:06:37,910
+of elements وهذه سينطبق على كل زوج متنازر واحد فوق
+
+97
+00:06:37,910 --> 00:06:41,730
+واحد تحت أيش احنا فوق مركبتها الصديقة هتلاقي
+
+98
+00:06:41,730 --> 00:06:48,930
+تلغيها مركبتها الصديقةأي أنصر فجاني هتلاقي أنصر
+
+99
+00:06:48,930 --> 00:06:54,530
+مناظر إله تحت مراكباتين صاديتين يلغوا بعض بالتالي
+
+100
+00:06:54,530 --> 00:06:57,570
+في الآخر وانت بتجمع بيضل عندك مراكبات صادية؟ بيضلش
+
+101
+00:06:57,570 --> 00:07:01,370
+عندك ولا مراكبة صادية الصيني عكس بعض ولا مع بعض؟
+
+102
+00:07:01,370 --> 00:07:04,390
+مع بعض، إذا بنجمع، اجمع الصيني، مافيش مشكلة كامل
+
+103
+00:07:04,390 --> 00:07:08,540
+للصينيإذن الآن بقولك كامل الصيني فقط ماضلش عندك
+
+104
+00:07:08,540 --> 00:07:10,920
+ولا مراكبة صادية إذا المشكلة في ال direction أنا
+
+105
+00:07:10,920 --> 00:07:15,480
+حلته الصادي راح وظال عندى الصيني هو أصلا حكالي إن
+
+106
+00:07:15,480 --> 00:07:19,240
+الصيني ممكن يتكامل ومافيش أي إشكالية مظبوط ولا لأ؟
+
+107
+00:07:19,240 --> 00:07:23,700
+تمام إذا أنا صفيت بس بدي أكامل المراكبات الصينية
+
+108
+00:07:23,700 --> 00:07:27,800
+هالصادي روح وظال عندى بس المراكبات الصينية هي اللى
+
+109
+00:07:27,800 --> 00:07:30,400
+بدي أتمي جمع الآن أنا بدي أركز على المراكبة
+
+110
+00:07:30,400 --> 00:07:34,420
+الصينية شباب الصادي روح أمنة؟ مافيش عندى مراكبات
+
+111
+00:07:34,420 --> 00:07:39,880
+صاديةبالتالي، مجموعة الهواتف الكامة هي مجموعة من
+
+112
+00:07:39,880 --> 00:07:45,620
+الـ X- Components فقط المراكبات الصينية من DE التي
+
+113
+00:07:45,620 --> 00:07:48,100
+تم إعطائناها. كيف بدي أجيب المراكبة الصينية؟ هل في
+
+114
+00:07:48,100 --> 00:07:51,600
+حد ضايق اللي مايعرفش يحلل؟ دي إي كوصين الفيتا
+
+115
+00:07:51,600 --> 00:07:56,660
+والفيتا هيها الزاوية، خلّيني أجيبها دي إي كوصين
+
+116
+00:07:56,660 --> 00:08:01,320
+الفيتا وهي فيتا، صح ولا لأ؟ هي فيتا، طب فيتا هادي،
+
+117
+00:08:01,320 --> 00:08:08,630
+بتسويش هادي؟طيب هذه ما هي نفسها دي و هي نفسها دي
+
+118
+00:08:08,630 --> 00:08:12,350
+صحيح؟ كلهم نفس الزوايا لأنه مثلث مثلث ثقيل أصلا
+
+119
+00:08:12,350 --> 00:08:17,510
+تمام فيت عرفتها وكوصين الفيته بساوي مجاور عوطر
+
+120
+00:08:17,510 --> 00:08:21,790
+المجاور capital D و الوطر small a اللي هو جزر
+
+121
+00:08:21,790 --> 00:08:25,690
+التربيع إلى D square plus capital R square صح ولا
+
+122
+00:08:25,690 --> 00:08:29,130
+لأ؟ اذا انا عرفت هجدي ايه هذه توجبت أنا وياكم
+
+123
+00:08:29,130 --> 00:08:33,950
+كوصين الفيته جديش بالساوية قولنا كوصين الفيته
+
+124
+00:08:37,500 --> 00:08:41,380
+D على R صح ولا لأ؟ كورسان في كتاب السواق مجرد
+
+125
+00:08:41,380 --> 00:08:47,860
+عواطر و الـDE طبعا طلعت انا وياكم اذا صلي جواب KDQ
+
+126
+00:08:47,860 --> 00:08:53,280
+كان في R square و هنا في R صار R تكعيب R تكعيب من
+
+127
+00:08:53,280 --> 00:08:56,780
+فى ثغورت بيساوي capital R تربيع plus D تربيع جزر
+
+128
+00:08:56,780 --> 00:09:02,580
+التلاتة على اتنين تمام هى DEXلأ بقول كامل في مشكلة
+
+129
+00:09:02,580 --> 00:09:06,420
+في التكامل لأ لإن أنا بتعامل مع مراكبة صينية و
+
+130
+00:09:06,420 --> 00:09:08,900
+المراكبة الصينية ما زالها صينية بتكملها بدون أي
+
+131
+00:09:08,900 --> 00:09:12,300
+إشكالية بتشبع انت جامع عادي scalars خمسة I و تلاتة
+
+132
+00:09:12,300 --> 00:09:15,540
+I تمانية أه مافيش مشكلة صحيح ولا لأ إذا المدارس
+
+133
+00:09:15,540 --> 00:09:19,500
+اللي جالي هنا DEX كامل مافيش أي مشكلة عشان أكامل
+
+134
+00:09:19,500 --> 00:09:23,100
+مش بتطلع ثوابتي الثوابت تطلع برضه التكامل صح ولا
+
+135
+00:09:23,100 --> 00:09:29,620
+لأ كي ثابت في خلاف عليهاطيب و انت بتغير في العناصر
+
+136
+00:09:29,620 --> 00:09:34,200
+capital D بتتغير من عنصر لعنصر؟ لأ طيب و capital R
+
+137
+00:09:34,200 --> 00:09:38,520
+هذه من نص خطر بتتغير؟ لأ اذا انا عندي capital D
+
+138
+00:09:38,520 --> 00:09:43,640
+ثابتة و capital R ثابتة و K أصلا ثابتة اتطلعش
+
+139
+00:09:43,640 --> 00:09:47,400
+بضالة K روحت و D طلعت برا و المقام كله طلع برا
+
+140
+00:09:47,400 --> 00:09:53,840
+ادخل جوا دي Q بالذن جميلة Lambdaلأ لما ده عشان ما
+
+141
+00:09:53,840 --> 00:09:57,620
+كنت اعرف تكامل هنا لما ده مابتبزننيش ايش تكامل ال
+
+142
+00:09:57,620 --> 00:10:02,780
+DQ شباب او تكامل ال DQ هي الشحنة الكلية ولا لأ
+
+143
+00:10:02,780 --> 00:10:06,580
+الشحنة الكلية ايش قال ليه قالوا بيستوي كمية ال DQ
+
+144
+00:10:06,580 --> 00:10:10,940
+هو في الآخر تمام بيقولي الآن integrating this
+
+145
+00:10:10,940 --> 00:10:14,840
+expression we get طلعت كل ال DQ اتفقنا هو الشحنة
+
+146
+00:10:14,840 --> 00:10:18,520
+الكلية طبعا في ال calculusالتكامل DQ small المفروض
+
+147
+00:10:18,520 --> 00:10:21,240
+تكون Q small لكن بما أنه احنا عارفين في ال physics
+
+148
+00:10:21,240 --> 00:10:26,880
+انه تكامل DQ is the sum of Q's و ال sum of Q's هي
+
+149
+00:10:26,880 --> 00:10:31,360
+given capital Q بصحي اللي حطها capital Q او بالم
+
+150
+00:10:31,360 --> 00:10:34,300
+القلب قلص بقول عشان نحل هالمشكلة بتدوش و بتشحن
+
+151
+00:10:34,300 --> 00:10:36,740
+التكامل فيه زي التكامل القلب قلص بقولها دي سهلة
+
+152
+00:10:36,740 --> 00:10:43,100
+بعد ما تعمل هيك حكم صفر لكابتال Qصح ما هي أصغر Q
+
+153
+00:10:43,100 --> 00:10:46,620
+زي تقريبا 0 و أكبر Q و هي كبيرة الكيو لما تيجي
+
+154
+00:10:46,620 --> 00:10:52,020
+تعملها إستطلع حلت المشكلة تمام طبعا هذه مش مضرورة
+
+155
+00:10:52,020 --> 00:10:53,440
+أعملها لكن أنا عارف أنه والله
+
+156
+00:10:53,440 --> 00:10:56,740
+هااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااااا
+
+157
+00:11:07,980 --> 00:11:12,220
+هي capital Q صح ولا لأ؟ مفهومة لأن أنا بعمل sum و
+
+158
+00:11:12,220 --> 00:11:17,880
+احنا فهمنا خلاص انتهى السؤال EX و هي equal هي
+
+159
+00:11:17,880 --> 00:11:21,880
+خلصوا الجواب بدوا احفظه؟ لأ نتيجك مثال مش مقلوب ان
+
+160
+00:11:21,880 --> 00:11:27,940
+احفظه مثاله خالص في المثال السابق قولت لو الرد
+
+161
+00:11:27,940 --> 00:11:32,120
+بعدتعامى وصالة النقطة عند المجلس التشفيعى اذا
+
+162
+00:11:32,120 --> 00:11:36,500
+كنتوا ذاكرين ال road بصير point طب هو ال ring لو
+
+163
+00:11:36,500 --> 00:11:41,320
+بعدت بتهاش ال point بتهس ال point نفس العملية اللى
+
+164
+00:11:41,320 --> 00:11:45,600
+بتنطبق يلا نجربه وكتش ال ring بتصير point في
+
+165
+00:11:45,600 --> 00:11:50,260
+حالتين شباب لما نسقط الحصر الصغير صح ولا لا او انا
+
+166
+00:11:50,260 --> 00:11:55,530
+بعيد عنها مظبوط ولا لاخلّيني احنا نحكي عن هذه
+
+167
+00:11:55,530 --> 00:12:02,810
+again for the limiting case D أكتر كتير من R في
+
+168
+00:12:02,810 --> 00:12:06,210
+الحالتين لما R تقول الى الـ 0 المقام بيبقى لديه
+
+169
+00:12:06,210 --> 00:12:10,370
+تربيع تحت صح؟ او لما D تكون كبيرة حتى لو R من
+
+170
+00:12:10,370 --> 00:12:13,410
+الصفر برضه روحها R بصير و كانوا عندى مليون دينار و
+
+171
+00:12:13,410 --> 00:12:17,290
+دينار صحيح ولا لأ؟ إذا لما D تكون أكتر كتير من R
+
+172
+00:12:17,290 --> 00:12:21,050
+إما R صغيرة قربة للصفر أو هي ثانية ملي ولا تلاتة
+
+173
+00:12:21,050 --> 00:12:22,050
+ملي وD
+
+174
+00:12:26,060 --> 00:12:29,220
+في الحلقين ايش بيصير المقام شباب دي تكعيب ولا مش
+
+175
+00:12:29,220 --> 00:12:34,900
+دي تكتيب بيصير المقام دي تكعيب وفي فوق ايش دي صارت
+
+176
+00:12:34,900 --> 00:12:38,320
+دي تربيع ولا لأ طلع قانون هذي طبعا في خطأ هنا هذي
+
+177
+00:12:38,320 --> 00:12:43,220
+المفروض دي تكعيب لان هنا في square و هنا square
+
+178
+00:12:43,220 --> 00:12:47,840
+بيروحوا بعض تمامهيطلع الجواب تروح تجاوب ال point
+
+179
+00:12:47,840 --> 00:12:51,400
+ولا ميجاوب ال point تجاوب ال point نفس القضية اذا
+
+180
+00:12:51,400 --> 00:12:56,760
+برضه الحل منطقي انه لما يصير ال ring point قانون
+
+181
+00:12:56,760 --> 00:13:02,020
+ال point is again recovered زي ما احنا عارفين
+
+182
+00:13:02,020 --> 00:13:07,540
+مافيش اي اشكالية تمام في مشكلة شباب مثال مشابه
+
+183
+00:13:07,540 --> 00:13:10,700
+حاجات بيقول ال ring
+
+184
+00:13:13,360 --> 00:13:16,180
+أو خلينا أول نحكي عن الجملة وبعدين بيقولي at the
+
+185
+00:13:16,180 --> 00:13:20,420
+center of the ring دي بتساوي سفر لما تحط دي بتساوي
+
+186
+00:13:20,420 --> 00:13:22,620
+سفر في الجواب شباب هنا .. حطوا دي بتساوي سفر ..
+
+187
+00:13:22,620 --> 00:13:26,120
+كده بيطلع الجواب؟ Zero .. بيطلع الجواب Zero عند ال
+
+188
+00:13:26,120 --> 00:13:29,800
+center يعني .. بيقولي طب ليش؟ comment .. عشان نعمل
+
+189
+00:13:29,800 --> 00:13:35,600
+comment نرجع للرسمة شباب ال point اللي هناك طيعت
+
+190
+00:13:35,600 --> 00:13:40,120
+ال white component صح ولا .. لو هذه النقطة شباب
+
+191
+00:13:40,120 --> 00:13:41,660
+صارتها
+
+192
+00:13:43,430 --> 00:13:46,550
+قدش في هذه الحالة دي بصير سفر لان النقطة ها دي
+
+193
+00:13:46,550 --> 00:13:52,060
+صبتها طلع الجرار سفر نقول ليشيقول ليش؟ لأن النقطة
+
+194
+00:13:52,060 --> 00:13:55,180
+هذه فيها symmetry حوالين ال X-axis و حوالين ال Y
+
+195
+00:13:55,180 --> 00:13:58,820
+-axis مش عند النقطة هذه ال Y-axis هيك جسمها برضه
+
+196
+00:13:58,820 --> 00:14:02,780
+إلى نصين نص يمين و نص شمال و المحور الصيني جسمها
+
+197
+00:14:02,780 --> 00:14:06,460
+إلى نصين واحد فوج و واحد تحت لما انجسمت نصين واحد
+
+198
+00:14:06,460 --> 00:14:10,360
+فوج و واحد تحت راحوا الصاد components ال vertical
+
+199
+00:14:10,360 --> 00:14:14,700
+components و لما ينجسموا واحدة يمين و واحدة شمال
+
+200
+00:14:14,700 --> 00:14:18,420
+ايش بيضيء ال X-components ايش ضال؟ ماضلش حاجة
+
+201
+00:14:18,420 --> 00:14:23,960
+خليني اعمل تجهيبأنا هاي النقطة عندي هاي عنصرية كيف
+
+202
+00:14:23,960 --> 00:14:28,460
+اتجاه المجال اللي هتلاقي صح طب من هذا الانصار
+
+203
+00:14:28,460 --> 00:14:35,440
+اجمعوهم شباب ضل المركبات الصينية ولا الصينية طيب
+
+204
+00:14:35,440 --> 00:14:41,780
+هاي عنصر و هاي مذابه هذا هاي مجاله و هذا هاي مجاله
+
+205
+00:14:41,780 --> 00:14:47,880
+جد ايه؟ برضه روح هاي عنصر و هاي عنصر هذا هيك و هذا
+
+206
+00:14:47,880 --> 00:14:52,850
+هيك جد ايه؟إذا في ال center ال symmetry بيقوللي
+
+207
+00:14:52,850 --> 00:14:57,290
+مضارناش ولا مركبة إذا المنطقه يطلع zero عوضه تطلع
+
+208
+00:14:57,290 --> 00:15:01,270
+zero إذا الجواب صحيح هو منطقه في الأول and ال
+
+209
+00:15:01,270 --> 00:15:05,270
+center zero because of the symmetry about the y
+
+210
+00:15:05,270 --> 00:15:09,150
+axis and about the x axis وبالتالي about the y
+
+211
+00:15:09,150 --> 00:15:13,190
+axisThe X component cancel and about the X axis,
+
+212
+00:15:13,330 --> 00:15:16,470
+the Y components cancel، وضلش عندي ولا component،
+
+213
+00:15:16,470 --> 00:15:19,870
+وبالتالي، المنطق يكون الـ Total electric field at
+
+214
+00:15:19,870 --> 00:15:23,230
+the center equal to zero، وهذا اللي طلع معايا، لما
+
+215
+00:15:23,230 --> 00:15:25,890
+جيت أعوضت في شكل الجواب، خُضّي بالصفر، صفر، طلع
+
+216
+00:15:25,890 --> 00:15:28,710
+الصفر، بقول أه صح، إذا أنا جوابي هذا بالدين
+
+217
+00:15:28,710 --> 00:15:33,050
+المنطق، لما ابعدت، أداني قانوني ال point، و لما
+
+218
+00:15:33,050 --> 00:15:35,150
+روحت على الcenter، أداني ال zero، وهذا المنطق، و
+
+219
+00:15:35,150 --> 00:15:41,090
+لازم يكون هيك، واضح شباب؟ تمام؟اذا عرفنا ليش zero
+
+220
+00:15:41,090 --> 00:15:47,590
+وعملنا comment عليه كمان مثال بيقول الآن شباب a
+
+221
+00:15:47,590 --> 00:15:55,010
+disk هرجيت ال ring أمانا هيك رسمتها في
+
+222
+00:15:55,010 --> 00:16:00,540
+ال ring انسوا ال disk في شحنات هنا؟لانها ring ال
+
+223
+00:16:00,540 --> 00:16:04,080
+ring من جوا فاضية جوفا الشحنات وين كانت على محيطه
+
+224
+00:16:04,080 --> 00:16:09,040
+بس ايش أفرج ال disk عن ال ring كله مشهور مصمت من
+
+225
+00:16:09,040 --> 00:16:13,400
+جوا هنا بقولي a disk of radius capital R has
+
+226
+00:16:13,400 --> 00:16:17,080
+uniform charge density sigma sigma يعني الشحنات
+
+227
+00:16:17,080 --> 00:16:21,840
+موزعة على سطح هنا كانت موزعة على خرف ع محيط و
+
+228
+00:16:21,840 --> 00:16:26,930
+المحيط و يحدثوا متر ولا متر تلبيامتر لأنه one
+
+229
+00:16:26,930 --> 00:16:30,890
+dimension المحيط اما ال disk اداني two dimensions
+
+230
+00:16:30,890 --> 00:16:36,070
+يعني area و ال area lambda ولا sigma طيب اعطيني
+
+231
+00:16:36,070 --> 00:16:39,410
+sigma و uniform charge density بيقول عشان لما تكمل
+
+232
+00:16:39,410 --> 00:16:42,150
+تطلع حبار التكامل sigma مظبوط ولا لا مشكلة
+
+233
+00:16:42,150 --> 00:16:44,190
+اتفقناها لما يكون ال charge is uniformly
+
+234
+00:16:44,190 --> 00:16:47,930
+distributed بتكون ال charge density constant تمام
+
+235
+00:16:49,190 --> 00:16:52,570
+Calculate the electric field along the x-axis of
+
+236
+00:16:52,570 --> 00:16:56,170
+the disk at a point P lying a distance capital D
+
+237
+00:16:56,170 --> 00:16:57,930
+from the center of the disk يعني هاي ال disk
+
+238
+00:16:57,930 --> 00:17:02,770
+شايفين؟ كل المنطقة الملونة فيها شحنات حلو؟نسقط ركب
+
+239
+00:17:02,770 --> 00:17:05,810
+تلقاء او Uniform بدي شدة المجال عند النقطة هديك
+
+240
+00:17:05,810 --> 00:17:10,130
+اللي بتبعد مسافة دي برضه تمام قطوات معروفة بدي
+
+241
+00:17:10,130 --> 00:17:15,070
+اجسم لعناصر صح ولا لأ و بعدين اجيب شدة المجال
+
+242
+00:17:15,070 --> 00:17:18,630
+الكهربائي لأحد العناصر اللي بدي اختارها في
+
+243
+00:17:18,630 --> 00:17:22,890
+المثالين السابقين أخدت point واشتغلت ليش أخد point
+
+244
+00:17:22,890 --> 00:17:26,010
+لأنه في قانون لل point صح ولا لأ المنطق هنا بدي
+
+245
+00:17:26,010 --> 00:17:30,210
+أخد point المفروض ان اخد point ايش بحكي هنا و
+
+246
+00:17:30,210 --> 00:17:34,880
+بعدين بنعلق solutionهنا نقوم بانقلاع الكتابة إلى
+
+247
+00:17:34,880 --> 00:17:39,820
+حلقات صغيرة ايه مااخدش points اخدي rings each of
+
+248
+00:17:39,820 --> 00:17:42,860
+thickness dr and charge dq و كتب لي واحد مااخد
+
+249
+00:17:42,860 --> 00:17:45,740
+points ليش مااخدتش points هى عبارة عن حلقات مفهومة
+
+250
+00:17:45,740 --> 00:17:49,900
+هي حلقات مفهومة هجيبت انا اديكم شغلة هدى لو
+
+251
+00:17:49,900 --> 00:17:56,220
+ديكتلكم انا عشرين ringوكل ring نسقطها أكتر من
+
+252
+00:17:56,220 --> 00:18:00,080
+التانية بشوية وحطتهم جوا بعد بصيروا disk ولا
+
+253
+00:18:00,080 --> 00:18:04,020
+بصيروا disk إذا بقدر أقول إن ال disk عبارة عن many
+
+254
+00:18:04,020 --> 00:18:08,880
+rings صح إذا ال ring جزء من disk إذا العنصر من
+
+255
+00:18:08,880 --> 00:18:13,440
+disk أمن طب ليش ماخدش point؟ بقول عشان أخد point
+
+256
+00:18:13,440 --> 00:18:17,140
+نشوف إيش بإن أنا أخد point هذا اللوح مساحة ولا
+
+257
+00:18:17,140 --> 00:18:22,500
+طول؟مساحة بدي أخد عنصر منه مجتح هو المربعات
+
+258
+00:18:22,500 --> 00:18:27,280
+الصغيرة عارفين؟ كل مربع عنصر و لا مش عنصر خلّيني
+
+259
+00:18:27,280 --> 00:18:32,220
+أعرف كبير المربع هاي عنصر هو عنصر و لا مش عنصر طيب
+
+260
+00:18:32,220 --> 00:18:37,880
+ارجع كمان دايما انا بحكي عنكم كون بوردجان حطوتوا
+
+261
+00:18:37,880 --> 00:18:41,280
+يدكم و طلعتوا بتطلعوا خيارة و لا بوردجان؟ بوردجان
+
+262
+00:18:41,280 --> 00:18:47,400
+يعني العنصر بيكون من جنس الكل صح؟لما تكون الكل
+
+263
+00:18:47,400 --> 00:18:50,460
+مساحة، العنصر مش بتكون طول ولا مساحة، قصد عنه تكون
+
+264
+00:18:50,460 --> 00:18:56,180
+مساحة، المساحة كان بعدي لشباب، بعدين، معناته هنا،
+
+265
+00:18:56,180 --> 00:19:01,200
+بتقول هنا في عندك DX و DY، و لما تيجي تشتغل في
+
+266
+00:19:01,200 --> 00:19:06,460
+التكامل، هيطلع معاك حاجة زي هيك، و هنا في إشي، حد
+
+267
+00:19:06,460 --> 00:19:09,020
+يسموه double integration، و ال double integration
+
+268
+00:19:09,020 --> 00:19:12,980
+عنكم سمعت فيه؟ ماعرفوشمصروا انا ماكنوا يعرفوش
+
+269
+00:19:12,980 --> 00:19:17,540
+بالتالي هو انا ماخد point اسهل ولا اصعب على حالي
+
+270
+00:19:17,540 --> 00:19:23,220
+مابدي اسهل فهمه مانهاش هو اصحى كان قاللي خد عنصر
+
+271
+00:19:23,220 --> 00:19:28,140
+شرطه الوحيد ان مجاله يكون معروف مش هي الشرط انا
+
+272
+00:19:28,140 --> 00:19:31,840
+بجيب عنصر الخطوة التالية بقولي اوجد مجال للعنصر ال
+
+273
+00:19:31,840 --> 00:19:36,090
+point كنت متعلق فيه لأنه فيه قانون لل pointاللي
+
+274
+00:19:36,090 --> 00:19:38,290
+فيه قانون لل point بس بدي أحط القانون اللي أتصور
+
+275
+00:19:38,290 --> 00:19:42,110
+على جنبه مانا بدي أكلمه في الآخر و بدي أشتغل ال
+
+276
+00:19:42,110 --> 00:19:45,210
+point جبته جبت قانونه و مفرحت عليه جيك ده كامل
+
+277
+00:19:45,210 --> 00:19:48,910
+ماعرفش أكامل بلاش مديش إياه قاللي طيب يا ال ring
+
+278
+00:19:48,910 --> 00:19:54,030
+مش انت توي جبت شدت المجال لل ring بإمكانك تشحته
+
+279
+00:19:54,030 --> 00:19:57,150
+اجلب صفحة بتلاقي جواب ال ring ما .. ما .. ماجبتكاش
+
+280
+00:19:57,150 --> 00:20:00,650
+تحفظه بلاش أنا مديكي ياه و هو موجود في الكتب اذا
+
+281
+00:20:00,650 --> 00:20:04,030
+قاللي خد ال ring ال ring بسهل عليك كتيرأذا أنا
+
+282
+00:20:04,030 --> 00:20:09,650
+شارج من ال point لأن ال point leads to a double
+
+283
+00:20:09,650 --> 00:20:13,890
+integration بيقديلك لشغل اسم double integration
+
+284
+00:20:13,890 --> 00:20:19,130
+التكامل ثنائي وهذا في مستوانة مايعرفوش طبعا في
+
+285
+00:20:19,130 --> 00:20:21,950
+المستوانات المتقدمة حتعرفوش بقى ومصعب لكن الأخر
+
+286
+00:20:21,950 --> 00:20:25,210
+أنا مش شايفهكل حاجة يبقى رخيش تعتبر صعبة في سنة
+
+287
+00:20:25,210 --> 00:20:27,630
+تانية هتاخد double integration لإن احنا هذا المساق
+
+288
+00:20:27,630 --> 00:20:32,370
+في سنة أولى ال double integration out of the scope
+
+289
+00:20:32,370 --> 00:20:36,370
+of this area وبالتالي بقدرش انا اتعامل معاه فبدي
+
+290
+00:20:36,370 --> 00:20:41,670
+اروح اشوف شغله تانية تمام اذا انا بديش ال .. ال
+
+291
+00:20:41,670 --> 00:20:47,690
+disk بدي ال ring وانا .. لأ و انا ماشي .. نرجع ..
+
+292
+00:20:47,690 --> 00:20:48,510
+نرجع .. نرجع ..
+
+293
+00:20:51,870 --> 00:20:55,590
+إذا أنا عرفت ليش not points شباب لأن ال points
+
+294
+00:20:55,590 --> 00:20:59,030
+بعطيني تكامل مزدوج double integration وبالتالي
+
+295
+00:20:59,030 --> 00:21:02,190
+ماعرفش أحلله جالي بسيطة إذا أنا بدي أخد ring
+
+296
+00:21:02,190 --> 00:21:06,090
+شايفين ال ring هادي هاي واحدة من ال rings المكوينة
+
+297
+00:21:06,090 --> 00:21:09,790
+لل disk ولا لأ هاي و أنا بدي عنصر واحد هاي عنصر
+
+298
+00:21:09,790 --> 00:21:14,310
+جالي شحنتها DQ مو جالي من أول كل عنصر شحنته DQ
+
+299
+00:21:14,310 --> 00:21:22,290
+العنصر صغير ولا كبير شحنته DQاتفقنا إن العنصر لابد
+
+300
+00:21:22,290 --> 00:21:25,490
+يكون من جنس الكل و الكل مساحة إذا لازم العنصر يكون
+
+301
+00:21:25,490 --> 00:21:28,550
+مساحة الحمرة هذه كيف بدأت بمساحتها و كيف بدأت
+
+302
+00:21:28,550 --> 00:21:32,730
+تتعامل معها جالي طولها one dimension بدي كمان
+
+303
+00:21:32,730 --> 00:21:36,810
+dimension إليها جالي سمك سمك ال dimension التاني
+
+304
+00:21:36,810 --> 00:21:42,630
+نرجع للرد الرد إيش أخدت عنصر إيه نقطة point طيب
+
+305
+00:21:42,630 --> 00:21:48,590
+رياضيا ال point كان dimension إليهاzero هيك
+
+306
+00:21:48,590 --> 00:21:53,010
+عرفتوها ال point مالهاش dimensions القصر رياضي عن
+
+307
+00:21:53,010 --> 00:21:56,510
+ال point zero dimension ليها X وليها Y وليها Z صح
+
+308
+00:21:56,510 --> 00:22:00,190
+أو لأ لكن لما أخدتها أنا عنصر من الرد اعتبرت طولها
+
+309
+00:22:00,190 --> 00:22:04,910
+DX ولا لأ DX يعني صغير قولت DX تقول إلى Zero عشان
+
+310
+00:22:04,910 --> 00:22:09,170
+كده قولت DX أنا أصلا لأنه دايما DX ايش أفرقت انا
+
+311
+00:22:09,170 --> 00:22:15,530
+حكيتكم إيها في فيزيا 1000 ايش أفرقت DX عن DXهذه
+
+312
+00:22:15,530 --> 00:22:21,870
+لما تقول إلى الـ 0 مش بتصير DX صحيح ولا لأ؟ إذن DX
+
+313
+00:22:21,870 --> 00:22:24,350
+دي مازال مشوفتها إذا تقول إلى الصفر، هي صغيرة
+
+314
+00:22:24,350 --> 00:22:29,410
+فلمّا قاللي، قاللي إن هي طول، بس هي تعتبر وكأنها
+
+315
+00:22:29,410 --> 00:22:34,530
+point لكن هي أصلها رد صغير، ولا لأ، هي ال road،
+
+316
+00:22:34,530 --> 00:22:38,390
+أنا دي بيدور رد صغير، جزء منه، إذن ال point بالرغم
+
+317
+00:22:38,390 --> 00:22:43,360
+إنه رياضياwithout dimension أنا لما كانت جزء من
+
+318
+00:22:43,360 --> 00:22:47,580
+الرد اعتبرتها with one dimension ولكن ال dimension
+
+319
+00:22:47,580 --> 00:22:51,480
+كان صغير يقول إلى سفر فاعتبرتها و كأنها point هنا
+
+320
+00:22:51,480 --> 00:22:54,840
+نفس العملية هذه ال ring الحمرة شباب لابد ان يكون
+
+321
+00:22:54,840 --> 00:22:58,800
+لها two dimensions ال dimension الأول هو محيطها
+
+322
+00:22:58,800 --> 00:23:02,380
+أمن متر ولا لأ لازم يكون لها كمان dimensions ثموكة
+
+323
+00:23:02,380 --> 00:23:09,970
+فالثموك تبع حدية الرمز DRDR تمام الآن بعد ما خدت
+
+324
+00:23:09,970 --> 00:23:14,450
+العنصر بدي أجيب سدة مجال العنصر العنصر عندي point
+
+325
+00:23:14,450 --> 00:23:19,350
+ولا ring؟ ring طب وقانون ال ring بدي اشحته احنا
+
+326
+00:23:19,350 --> 00:23:24,850
+وياكم من المثال السابق بيقوللي from the result of
+
+327
+00:23:24,850 --> 00:23:28,130
+the previous example بيقوللي اشحته جيبه انت جايبه
+
+328
+00:23:28,130 --> 00:23:31,590
+اصلا انت اللي جيبته في المثال السابق قاللي E
+
+329
+00:23:31,590 --> 00:23:38,560
+بتساوي K capital Qو في دي اظنني على capital R
+
+330
+00:23:38,560 --> 00:23:43,500
+تربية plus دي تربية يزلت تلاتة عتنين هيك الجواب
+
+331
+00:23:43,500 --> 00:23:48,760
+كان صح ولا لأ طب ليش هتيجي نشوف هد كيكي لكل شي كيك
+
+332
+00:23:48,760 --> 00:23:52,600
+capital Q شحنة ال ring كان الزمان طب شحنة ال ring
+
+333
+00:23:52,600 --> 00:23:57,080
+هنا أيش يعني دي كيو صح ولا لأ تمام اذا هد دي بيجيح
+
+334
+00:23:57,080 --> 00:24:03,620
+تصير ايش دي كيو هد دي مغيرهاش خلاها ديهذه نص قطر
+
+335
+00:24:03,620 --> 00:24:06,200
+ال ring ولا لأ ؟ هى نص قطر ال ring الحمرا جديش
+
+336
+00:24:06,200 --> 00:24:12,360
+small r فجالى هذه لصي ال small r صحيح حاطى جواب هى
+
+337
+00:24:12,360 --> 00:24:18,660
+طلعى تمام شباب اذا دي اي مش اي دي اي الأهم عنصر
+
+338
+00:24:18,660 --> 00:24:22,940
+هذا جزء من المجارى الكهربائى جزء لان المجارى
+
+339
+00:24:22,940 --> 00:24:25,200
+الكهربائى جاي من كل ال disk مش من ال ring واحدة
+
+340
+00:24:25,200 --> 00:24:31,680
+جول ال دي اي بيسوي كىبدل ال capital Q حضّي ال DQ
+
+341
+00:24:31,680 --> 00:24:35,860
+لأن هذه شحنة ال ring دي ضالة زي مدهية و في المقام
+
+342
+00:24:35,860 --> 00:24:39,900
+R تربية زي D تربية الان بقول كامل و قبل ما تكامل
+
+343
+00:24:39,900 --> 00:24:43,240
+اطلع ال directions ال directions انا مرتاح منه ليش
+
+344
+00:24:43,240 --> 00:24:47,080
+لأنه في ال rings جالي اصلا في شكل زي هذا المجال
+
+345
+00:24:47,080 --> 00:24:51,620
+صيني بس مش صاضي ذكرين ان الصاضي روح؟إذا المجال
+
+346
+00:24:51,620 --> 00:24:55,860
+صيني غير ال ring صغيرها أو كبيرها بيظل المجال صيني
+
+347
+00:24:55,860 --> 00:24:58,220
+إذا انت مافيش عندك مشكلة في التكامل كامل و انت
+
+348
+00:24:58,220 --> 00:25:02,680
+مغمض لأنه بتكامل كله مراكبات صينية لعنكاف مراكبات
+
+349
+00:25:02,680 --> 00:25:05,660
+صغيرة لا تحلل و لا تغلب حالك من أول انت شاحت شغل
+
+350
+00:25:05,660 --> 00:25:09,360
+جاهزة انها صينية و خالصة مظبط ولا لأ من المثال
+
+351
+00:25:09,360 --> 00:25:13,860
+السابق فبقولي integrating the last result we get
+
+352
+00:25:13,860 --> 00:25:20,140
+نطلع ثوبتنا capital D ثابتة و K ثابتة المقام ثابت
+
+353
+00:25:23,190 --> 00:25:28,050
+لو غيرت اللون تبعت الحمرض تصغر و تكبر ولا ده R اذا
+
+354
+00:25:28,050 --> 00:25:31,850
+ال R is variable not constant اذا المقام خالي جوا
+
+355
+00:25:31,850 --> 00:25:40,120
+حلو كمان؟طاقة كامله هذا فوق dq variable و small r
+
+356
+00:25:40,120 --> 00:25:45,500
+variable بدي علاقة بين q و r ولا لأ بدي ال charge
+
+357
+00:25:45,500 --> 00:25:52,920
+density بتعطيني لأن ر dimension و q كلوم كلوم و
+
+358
+00:25:52,920 --> 00:25:56,260
+dimensions متر ولا متر تربيع ولا متر تتعيب معناته
+
+359
+00:25:56,260 --> 00:26:00,680
+lambda sigma او rho طبعا عندي هنا sigma صح ولا لأ
+
+360
+00:26:00,680 --> 00:26:06,780
+اذا بدي علاقة بين dq و rأنا الأن شباب دي كيو
+
+361
+00:26:06,780 --> 00:26:14,280
+بتساوي سيجما في دي إيه مش أخدناها لنشوف وين ال دي
+
+362
+00:26:14,280 --> 00:26:26,920
+إيه هانصري هجيب جالي هنا سيجما بتساوي دي
+
+363
+00:26:26,920 --> 00:26:30,600
+كيو على دي إيه هاي القانون تبعي بتستخدمه صح ولا لأ
+
+364
+00:26:30,600 --> 00:26:37,000
+هجيب هذه الشي يعنيمساحة العنصر وهذه شحنة العنصر صح
+
+365
+00:26:37,000 --> 00:26:43,240
+ولا لأ؟ يعني هذه المساحة الموزعة عليها الشحنة صح؟
+
+366
+00:26:43,240 --> 00:26:47,540
+لما قلت دي Q يعني الشحنة على قط الأحمر ولا لأ؟ طب
+
+367
+00:26:47,540 --> 00:26:53,300
+أخدي المساحة إيه؟ بدي مساحة المنطقة الحمراءبدي
+
+368
+00:26:53,300 --> 00:26:58,500
+مساحة المنطقة الحمراء هل هي by our تربيع طانق
+
+369
+00:26:58,500 --> 00:27:03,680
+تربيع لأ طانق تربيع بتديك المساحة كلها هجيب طانق
+
+370
+00:27:03,680 --> 00:27:06,960
+تربيع مش بتديك هذه المساحة انا بديش هذه انا بس بدي
+
+371
+00:27:06,960 --> 00:27:14,160
+هذه كيف أسويها جالي سهلة ربنا خلج المنشطر ولا لأ
+
+372
+00:27:14,160 --> 00:27:21,160
+قصها ال ring و اعدلها ايش بصير بصير عندك مستطيل صح
+
+373
+00:27:22,480 --> 00:27:30,340
+عرض المستاطيل يقولكم إيش بيساوي VR السمك صح ولا
+
+374
+00:27:30,340 --> 00:27:35,800
+يأكت هاجي و ويرا جسيتها و فرجتها السمك مش صار عرض
+
+375
+00:27:35,800 --> 00:27:43,160
+طب الطول إيش هو المحيط المحيط طب مساحة المستاطيل
+
+376
+00:27:43,160 --> 00:27:48,090
+بتساوي طول بعرض ولا لأ؟إذا مساحة المنطقة الحمرة
+
+377
+00:27:48,090 --> 00:27:53,650
+بتساوي المحيط اتنين باي ار في السمك دي ايش السمك
+
+378
+00:27:53,650 --> 00:27:58,950
+دي ار دي ار هيتلعي جوان تمام إذا مساحة المنطقة
+
+379
+00:27:58,950 --> 00:28:05,750
+الحمرة عرفتها إذا نبدأ دي ايه شباب دي ايه مساحة
+
+380
+00:28:05,750 --> 00:28:11,530
+العنصر مساحة المنطقة الحمرة بتساوي المحيط في السمك
+
+381
+00:28:11,530 --> 00:28:18,550
+two pi r d r طلع فكرةبدل دي Q طلعش في صفنا دي R دي
+
+382
+00:28:18,550 --> 00:28:25,430
+R و R بعرف اكملها تمام عوض عوضنا طلعوا حدود
+
+383
+00:28:25,430 --> 00:28:31,530
+التكامل من صفر اللي كابت ال R ليش؟ لو رجعنا للرسمة
+
+384
+00:28:31,530 --> 00:28:34,690
+ده اللي ها دي ring طب عشان اتكمل كل ال desk كام
+
+385
+00:28:34,690 --> 00:28:40,590
+ring بيدك؟ اتديت rings طيب اول ring او اصغر ال
+
+386
+00:28:40,590 --> 00:28:44,430
+ring اديش نسقطها بيكون؟ صفر الصفر و اخر واحدةعشان
+
+387
+00:28:44,430 --> 00:28:47,210
+كده انت تحظر التكامل ليش انا دورت على نص القطر
+
+388
+00:28:47,210 --> 00:28:50,450
+لانه انت لما تغيري بتكامل عليه R وR هى نص قطر ولا
+
+389
+00:28:50,450 --> 00:28:57,710
+لأ اذا بتدور على نص قطر اصغر عنصر و نص قطر اكبر
+
+390
+00:28:57,710 --> 00:29:02,490
+عنصر ممكن عندك فاصغر عنصر لازم يكون نص قطره صفر و
+
+391
+00:29:02,490 --> 00:29:06,010
+اكبر عنصر نص قطره كبتر R اذا حدود تكاملك عشان
+
+392
+00:29:06,010 --> 00:29:11,130
+يغطيلك كل ال disk بيكون من صفر لكبتر R فطلعنا
+
+393
+00:29:11,130 --> 00:29:15,720
+وجينا هت الحدودأخدتها في الكاركولاز كيف تتكامل
+
+394
+00:29:15,720 --> 00:29:24,020
+وهذه؟ لو قلت R تربيع plus D square بتسويه بيصيح
+
+395
+00:29:24,020 --> 00:29:30,300
+اتنين R دي R ايه بتسويه؟ مش فاكر اخدناها؟ اذا هذا
+
+396
+00:29:30,300 --> 00:29:34,600
+التكامل ايش بيصير؟ بيصير تكامل اتنين R دي R هذي
+
+397
+00:29:34,600 --> 00:29:39,380
+شايفينها؟ مشيها في البص؟ مشيها في البص؟ وش في
+
+398
+00:29:39,380 --> 00:29:47,240
+المقام صار؟ لا مش لين؟لأ ديش لين هي du على u دي u
+
+399
+00:29:47,240 --> 00:29:52,060
+على u لين طلعت هيك يعني هذه بالساوي تكامل u سالب
+
+400
+00:29:52,060 --> 00:29:59,520
+ثلاثة ع اتنين du ولا لأ و بتساوي u سالب نص و في
+
+401
+00:29:59,520 --> 00:30:04,460
+عندك هنا سالب اتنين مش ميتقسم مع سالب نص هاي
+
+402
+00:30:04,460 --> 00:30:10,700
+الجواب طب u ايش بالساوي ما هيبتطلح في ال calculus
+
+403
+00:30:10,700 --> 00:30:14,340
+خدتوها فاضلا اللي فهمت و انا خدتوها و لسه ماصلتوش
+
+404
+00:30:14,340 --> 00:30:22,220
+لها خدتوها هنا شباب فيزيا خلصت ما تبقى calculus
+
+405
+00:30:22,220 --> 00:30:27,900
+اما الفيزيا خلصت الحدود فيزيا بعد كده calculus هذه
+
+406
+00:30:27,900 --> 00:30:31,720
+لما كملتها و هذه بتاعة هذه الصيغة معروفة و محتوطة
+
+407
+00:30:31,720 --> 00:30:34,540
+حتى في جد تكتب ال calculus ممكن تبقى مشهورة هذا
+
+408
+00:30:34,540 --> 00:30:39,520
+التكامل يعني سهل طلعت هيك شبابطلعت هيك طلعت اعوضت
+
+409
+00:30:39,520 --> 00:30:43,960
+طلعت هادية شكل one minus D على ال square root D
+
+410
+00:30:43,960 --> 00:30:47,240
+squared plus R squared طبعا نتيجة ولا بدي احفظها
+
+411
+00:30:47,240 --> 00:30:50,520
+ولا بدي احكي عمال ال R اللي تديها هذا السمك تساوي
+
+412
+00:30:50,520 --> 00:30:55,560
+نص الفطوة لأ افكر في نفس ال run اه لأنها جزء منها
+
+413
+00:30:55,560 --> 00:31:03,200
+لأنها جزء منها حاضر بهمش هجيتله
+
+414
+00:31:03,200 --> 00:31:09,200
+و قولتلك انا نرجع لل roadمش كانت هيك؟ الحاجات هذه
+
+415
+00:31:09,200 --> 00:31:15,100
+كانت أخدها DX والمسافة هذه أخدتها X لماذا؟ لأن X
+
+416
+00:31:15,100 --> 00:31:19,180
+كترها شوية بدي تزيد إلى هذا شوية شوية DX DX DX طيب
+
+417
+00:31:19,180 --> 00:31:23,020
+طلع DR DR السمك باتجاه أنصاف الأقطار ولا لأ يا
+
+418
+00:31:23,020 --> 00:31:27,400
+شباب؟ باتجاه أنصاف الأقطار DR ولا لأ السمك باتجاه
+
+419
+00:31:27,400 --> 00:31:32,120
+نص القطر بدي يكون؟ صح هنا الطول العنصر باتجاه
+
+420
+00:31:32,120 --> 00:31:35,990
+السينيعشان كده خدت دي اكس هناك مالي ايش بتاخده دي
+
+421
+00:31:35,990 --> 00:31:39,450
+R لانه باتجاه نصف الأقطار فهي جزء يعني كامل ال R
+
+422
+00:31:39,450 --> 00:31:46,870
+بيكون يعني بمعنى أخر مفروض دي R بتساوي R2 نقص R1
+
+423
+00:31:46,870 --> 00:31:51,650
+وR2 أكبر من R1 بشوية تمام فهي باتجاه نصف الأقطار
+
+424
+00:31:51,650 --> 00:31:55,610
+عشان كده أديتها نفس الرمز بنفس الاتجاه تمام
+
+425
+00:31:58,700 --> 00:32:03,280
+زي اتفقنا نطلع نهاية النتيجة النتيجة خلصت برضه بدي
+
+426
+00:32:03,280 --> 00:32:07,120
+أعلج عليها شوية و بديش أخليها point الآن بدي
+
+427
+00:32:07,120 --> 00:32:09,580
+أخليها شغلها غير ال point ال point أملنا فيها و
+
+428
+00:32:09,580 --> 00:32:12,540
+خلصناها في ال ring of rod بيقوللي هذا ال disk اللي
+
+429
+00:32:12,540 --> 00:32:13,400
+انت شايفه
+
+430
+00:32:16,440 --> 00:32:21,580
+يكون very large plane very large plane يعني لو
+
+431
+00:32:21,580 --> 00:32:24,420
+قالك very large plane جديش مجاله بقول له هذا plane
+
+432
+00:32:24,420 --> 00:32:27,640
+ما هو just plane ولا لأ عشان يكون very large في
+
+433
+00:32:27,640 --> 00:32:31,720
+عندي حالتين اما يكون نسقطره approaches infinity
+
+434
+00:32:31,720 --> 00:32:38,900
+كبير صح ولا لا هي large نسقطره معناه نهاية او اجرب
+
+435
+00:32:38,900 --> 00:32:43,800
+عليه كتير شبابأجرب عليه كتير يعني أديكم مثال بسيط
+
+436
+00:32:43,800 --> 00:32:48,500
+لو جيبت نملة و حطتها على ظهر الفيل و قولت للنملة
+
+437
+00:32:48,500 --> 00:32:51,780
+أيش أخبار الفيل؟ بتقول عنه محيط مش عارف أول و من
+
+438
+00:32:51,780 --> 00:32:57,700
+آخر صح ولا لأ ويه؟ هي جريب عليه و وارفة عليه الجوف
+
+439
+00:32:57,700 --> 00:33:01,660
+جبت النملة نفسها و طيب و حطتها على طيارة فوق قولت
+
+440
+00:33:01,660 --> 00:33:06,100
+له أيش أخبار الفيل؟ بتقول عنه نملةصار صح ولا لأ؟
+
+441
+00:33:06,100 --> 00:33:12,180
+تمام؟ اذا لما انا اجرب على شي يبدو كبير يعني مثال
+
+442
+00:33:12,180 --> 00:33:15,840
+اخر لو جبت واحد منكم و بيعرفش الحيطة هذه بالمرة و
+
+443
+00:33:15,840 --> 00:33:18,620
+قولتله لزج في الحيطة حط وجهك على الحيطة و بقى رالج
+
+444
+00:33:18,620 --> 00:33:21,140
+و قولتله الحيطة مستطيل ولا دويرة و بقوله بدي اطلع
+
+445
+00:33:21,140 --> 00:33:24,270
+فوق و بقوله ماما بطلع فوق و قوله والله مابعرفممكن
+
+446
+00:33:24,270 --> 00:33:28,350
+تكون دويرة و ممكن تكون مستطيل لإيش؟ لأن هو مش شايف
+
+447
+00:33:28,350 --> 00:33:32,470
+أولها من آخرها هو بيعتبرها كتيرة إذا أنا عشان يكون
+
+448
+00:33:32,470 --> 00:33:35,390
+عندي very large plane في عندي حالتين إما ال plane
+
+449
+00:33:35,390 --> 00:33:39,110
+أصلا يكون كبير يعني مع أبعاده مانا نهاية أو أنا
+
+450
+00:33:39,110 --> 00:33:41,970
+أكون جريب عليه كتير لما أكون جريب عليه كتير يعني
+
+451
+00:33:41,970 --> 00:33:45,610
+دي تقول إلى ال zero أجرب عليه كتير في الحالتين
+
+452
+00:33:45,610 --> 00:33:48,870
+شباب اتطلعوا على النتيجة لما دي goes to zero إيش
+
+453
+00:33:48,870 --> 00:33:56,410
+بيصير في الحد التاني؟ الحد هذاحط دى محله سفر روح
+
+454
+00:33:56,410 --> 00:34:03,350
+فلو R goes to ملا نهاية R صارت كبيرة كتير برضه سفر
+
+455
+00:34:03,350 --> 00:34:08,610
+صح ولا لأ اذا اما دى goes to zero او R goes to ملا
+
+456
+00:34:08,610 --> 00:34:11,850
+نهاية في الحالتين بصرف عندي large plane فبيقوللي
+
+457
+00:34:15,190 --> 00:34:21,110
+الشعور بالإنترنت لطاقة كبيرة يمكن أن يتم إيجاده من
+
+458
+00:34:21,110 --> 00:34:26,150
+النتيجة الأخيرة بإيقاف إما R يذهب إلى مدى نهاية أو
+
+459
+00:34:26,150 --> 00:34:27,310
+D يذهب إلى نهاية.
+
+460
+00:34:31,760 --> 00:34:35,860
+في هذا التقيم ايش صار؟ روح في الحالتين ايش بيطلع
+
+461
+00:34:35,860 --> 00:34:42,860
+النتيجة؟ هده هي هذه K زاكرينها زمان في اول محاضرة
+
+462
+00:34:42,860 --> 00:34:49,770
+واحد على اربعة by epsilon noteأوّفت عنها فوق و هنا
+
+463
+00:34:49,770 --> 00:34:55,790
+في 2 ضال 2 هنا في باي و هنا في باي روحت و ابسلن
+
+464
+00:34:55,790 --> 00:34:58,750
+نوت ضال هنا سجن على 2 ابسلن نوت بتضع نتيجة مابيديش
+
+465
+00:34:58,750 --> 00:35:03,570
+احفظها يا شباب بس الشطر اللي ورا هيجيني كمان مثال
+
+466
+00:35:03,570 --> 00:35:07,950
+احسب شدة المجال ل very large plain بدي اقارنها
+
+467
+00:35:07,950 --> 00:35:12,970
+اقولكم زمان حسب معاهاواطلع عليها و هيطلع معايا
+
+468
+00:35:12,970 --> 00:35:16,390
+نفسي تجاوب واضح؟ يعني هي دي بس مجرد عشان بدنا
+
+469
+00:35:16,390 --> 00:35:21,690
+نقارن فيها في ال chapters كيف
+
+470
+00:35:21,690 --> 00:35:25,630
+يعني زي هي؟ زي السؤال هذا؟ اه ليه هو الجيش؟ مش هذا
+
+471
+00:35:25,630 --> 00:35:31,250
+مثال؟ حاجة صعيب؟ صعب تاخده عنصر؟ حاجة انت؟ ايش هي
+
+472
+00:35:31,250 --> 00:35:33,890
+الفكرة اللي جمعناها؟ لما يكون عندك desk ايش عنصر
+
+473
+00:35:33,890 --> 00:35:38,540
+بيك تاخده؟فرينز هتتقللوا ال ring .. كده تحفظانة
+
+474
+00:35:38,540 --> 00:35:42,520
+مادكية .. بتاع ما .. بعد كده هتجيبها تعمل كامل ..
+
+475
+00:35:42,520 --> 00:35:46,360
+تجيب علاقة ما بين ال Q و المساحة .. تقدر تجيبها ..
+
+476
+00:35:46,360 --> 00:35:49,080
+هنهي .. هنهي اللي بنعمله .. فانا هتعلمت ان كيف
+
+477
+00:35:49,080 --> 00:35:52,360
+تجيب المساحة .. مساحة ال ring .. اتنين by RDR ..
+
+478
+00:35:52,360 --> 00:35:54,340
+معلومة .. بتاخدوها .. و الكلمة التانية اللي كده
+
+479
+00:35:54,340 --> 00:35:58,560
+جيبتها .. محيط في السوق .. فده ده .. بتلاحظوا دي
+
+480
+00:35:58,560 --> 00:36:03,270
+التكلمة .. ممكن تتعرف ..مش فعلا شكل جديد .. شكل
+
+481
+00:36:03,270 --> 00:36:06,230
+جديد .. شوف تلاقي ال ring غير عن ال disk غير عن ال
+
+482
+00:36:06,230 --> 00:36:10,410
+rod لكن عندك هتشوف الأسلحة في disk بس شوية زرقه و
+
+483
+00:36:10,410 --> 00:36:19,190
+قبره .. حاجة زي هيك .. يا حكيه .. لأن
+
+484
+00:36:19,190 --> 00:36:23,250
+فيه شحناته لأنه هنا beta و هنا ال zero جربت عليه
+
+485
+00:36:23,250 --> 00:36:27,730
+فبطلع سجن على تلفزيون ال rodمجنونش يا جي سيجن بقى
+
+486
+00:36:27,730 --> 00:36:31,430
+جرب عليه ان انا صوت ع ال field هاي مناسبة على سلطة
+
+487
+00:36:31,430 --> 00:36:34,110
+هذه مناسبة على ال field على نص ال .. على النص ولا
+
+488
+00:36:34,110 --> 00:36:39,330
+فوق بتفهمش ما حد كده تمام؟
+
+489
+00:36:39,330 --> 00:36:41,870
+the electric field lines الموضوع الثالث ال
+
+490
+00:36:41,870 --> 00:36:43,650
+electric field lines احنا اتفقنا احنا وياكم يا
+
+491
+00:36:43,650 --> 00:36:49,830
+شباب ان كل شحنة لها مجال صح ولا لأ كيف كنت اعرف ان
+
+492
+00:36:49,830 --> 00:36:54,680
+في مجال ولا فيش مجال؟كنا نحط شحنة بمعنى آخر أنا
+
+493
+00:36:54,680 --> 00:36:59,820
+المجال بشوفه في العيني؟ لأ بشوفهش بحس بتأثيره طيب
+
+494
+00:36:59,820 --> 00:37:02,660
+العلماء لما أجى فكر فرضايا كيف بكرا بدأ أرسم في
+
+495
+00:37:02,660 --> 00:37:08,000
+الكتاب؟ وكيف بدي أكتب في الدفتر و أرسم على اللوح؟
+
+496
+00:37:08,000 --> 00:37:12,020
+منطقة فيها مجال ومنطقة مش فيها مجال؟ إذا لازم نتفق
+
+497
+00:37:12,020 --> 00:37:16,440
+على إن هذا المجال إن مثلوب شغلة معينة نتفق عليها
+
+498
+00:37:16,440 --> 00:37:19,960
+احنا العلماء هذه الشغلة سموها الـElectric Feed
+
+499
+00:37:19,960 --> 00:37:23,600
+Linesعشان لما ارسم هقول انا هنا في مجال بديش انا
+
+500
+00:37:23,600 --> 00:37:25,960
+اظن و انا على اللوح ولا و انا في الكتاب ولا في
+
+501
+00:37:25,960 --> 00:37:28,700
+الدكتورات اقول فالله هنا شحنة ولا فش شحنة لان انا
+
+502
+00:37:28,700 --> 00:37:32,520
+ارسمها شحنة حقيقية ولا رسمها فهي رسمة يعني لو جيبت
+
+503
+00:37:32,520 --> 00:37:37,620
+انا شحنة حقيقية تتخرج لأ انا بدي كل رسم برسم خلنا
+
+504
+00:37:37,620 --> 00:37:41,940
+نتفق على رسم فبقولي the electric field in a region
+
+505
+00:37:41,940 --> 00:37:47,360
+المجاري الكهربائي في اي منطقة اتفق على انها is
+
+506
+00:37:47,360 --> 00:37:52,320
+represented by imaginary linesخطوط وهمية قبعا
+
+507
+00:37:52,320 --> 00:37:56,540
+وهمية انا باسمها بس عشان اتديرلي ان في مجال و لا
+
+508
+00:37:56,540 --> 00:38:00,020
+مجال is represented by imaginary lines known as
+
+509
+00:38:00,020 --> 00:38:04,600
+electric field lines هي خطوط وهمية مرات بيسموها
+
+510
+00:38:04,600 --> 00:38:08,320
+lines of force خطوط القوة خطوط القوة مش مشكلة
+
+511
+00:38:08,320 --> 00:38:08,600
+الاسم
+
+512
+00:38:11,390 --> 00:38:15,110
+فرده مش خضر يمين اللي اختارها احنا بنعرفها وصلنا
+
+513
+00:38:15,110 --> 00:38:17,990
+متجولين عليها these lines have the following
+
+514
+00:38:17,990 --> 00:38:23,410
+properties عشان لما انا ارسم خطوط مجال لشكل واحد
+
+515
+00:38:23,410 --> 00:38:26,930
+في الصين او واحد في روسيا او واحد في جنوب أفريقيا
+
+516
+00:38:26,930 --> 00:38:29,750
+يرسم خطوط مجال لنفس الشكل لازم يطلع نفس الخطوط
+
+517
+00:38:29,750 --> 00:38:34,650
+المجال ولا لأ عشان هذي يصير لازم نتفق على خواص كنا
+
+518
+00:38:34,650 --> 00:38:39,200
+هرسم طبعا لها صح ولا لأطيب، إيش هي الخواص؟ أول
+
+519
+00:38:39,200 --> 00:38:42,520
+حاجة وعلينا نشوف الخواص كلنا بنعرفها بيقولي the
+
+520
+00:38:42,520 --> 00:38:44,840
+direction of the lines at any point is the
+
+521
+00:38:44,840 --> 00:38:47,480
+direction of the electric field at that point انت
+
+522
+00:38:47,480 --> 00:38:50,720
+بترسم خطوط و الخطوط اللي هأسهم طب خلص سهل مع
+
+523
+00:38:50,720 --> 00:38:55,480
+المجال طب المجال انت بتعرف تحدد اتجاهه شباب؟ مش
+
+524
+00:38:55,480 --> 00:38:58,860
+تبعل الشحنة؟ إذا كان موجب outward وإذا كان
+
+525
+00:38:58,860 --> 00:39:02,280
+negative inward؟ إذا أنا ماعرف أحد اتجاه طيب إذا
+
+526
+00:39:02,280 --> 00:39:08,130
+الخط هاي عرفته هاي أول خاصية سهلةبقول هذا بيعني ان
+
+527
+00:39:08,130 --> 00:39:12,670
+الارواح يجب ان تبدأ في مواصفات افضل و تنتهي في
+
+528
+00:39:12,670 --> 00:39:18,970
+مواصفات افضل اذا positive out و negative into اذا
+
+529
+00:39:18,970 --> 00:39:21,910
+ببدأ من ال positive و بطلع من ال positive و بنتهي
+
+530
+00:39:21,910 --> 00:39:25,430
+وين عندي ال negativeشغلة منطقية برضه من الخواص انا
+
+531
+00:39:25,430 --> 00:39:29,670
+بعرفها اذا begins او the lines begin at positive
+
+532
+00:39:29,670 --> 00:39:34,150
+charges and terminate بينتهي معناه terminate at
+
+533
+00:39:34,150 --> 00:39:36,730
+negative charges بينتهي عندى negative charges
+
+534
+00:39:36,730 --> 00:39:40,610
+الشغل التانى بيقول ان انا بدرسم خطوط لو مافيش ولا
+
+535
+00:39:40,610 --> 00:39:44,670
+خط كده المجال بيكون؟ صفر فده هو عصمة خمس خطوط ولا
+
+536
+00:39:44,670 --> 00:39:49,690
+عشر خطوط؟العشرة أكبر ولا لا؟ إذا معناته عدد الخطوط
+
+537
+00:39:49,690 --> 00:39:54,050
+بده يتناسب مع مقدار المجال ولا لا؟ طبعا عدد الخطوط
+
+538
+00:39:54,050 --> 00:39:57,250
+تصفد العربة تبشغلة بمعنى أخر، مين سكان أكبر يا
+
+539
+00:39:57,250 --> 00:40:01,270
+شباب، غزة ولا القاهرة؟طب مين كثافتها أكتر؟ غزا ولا
+
+540
+00:40:01,270 --> 00:40:04,950
+القاهرة؟ إذا إيش أعمل إن لما جولنا كثافة حطنا عن
+
+541
+00:40:04,950 --> 00:40:08,310
+المساحة صح ولا لأ؟ وفي نفس العملية، بديش أنا عدد
+
+542
+00:40:08,310 --> 00:40:12,190
+الخطوط بس، بدي أدرُع عملها، أربطها بالمساحة، ويصير
+
+543
+00:40:12,190 --> 00:40:17,390
+كثافة الخطوط هي اللي بتدل على جداش المجال، كل ما
+
+544
+00:40:17,390 --> 00:40:22,090
+كانت المخطوط كثيفة، كل ما كان المجال كبير، صح ولا
+
+545
+00:40:22,090 --> 00:40:27,380
+لأ؟ فبقوللي، the number of lines per unit areaزي
+
+546
+00:40:27,380 --> 00:40:31,560
+لما أقول عدد البناء جميع لكل وحدة مساحة هذه
+
+547
+00:40:31,560 --> 00:40:35,080
+الكثافة بال unit area طبعا perpendicular to E عشان
+
+548
+00:40:35,080 --> 00:40:37,980
+نكون متعامد و نتفق عليها is proportional to the
+
+549
+00:40:37,980 --> 00:40:42,540
+magnitude of E in that region يكون متناسب مع شدة E
+
+550
+00:40:42,540 --> 00:40:45,700
+برضه هذه شغلة سهلة و معروفة بيقول يهدد تلاتة عشان
+
+551
+00:40:45,700 --> 00:40:51,160
+تصير صح مش هتلاقي خطين بتقطعno two field lines can
+
+552
+00:40:51,160 --> 00:40:54,380
+cross ولا ممكن يتقاطع و إلا بصي فيه خلال في ال
+
+553
+00:40:54,380 --> 00:40:58,260
+directions و خلال في شغلات كتيرة طبعا لو إيدينا
+
+554
+00:40:58,260 --> 00:41:02,860
+نصهم أنا جالب منكم رسمة من ال net هدول شوفوا ال
+
+555
+00:41:02,860 --> 00:41:06,860
+positive شباب outward لو أنا سألكم الآن اتجاه
+
+556
+00:41:06,860 --> 00:41:11,700
+المجال هنا كيف outwardنفس الخطة لنا .. اذا الخصية
+
+557
+00:41:11,700 --> 00:41:15,400
+الأولى هى اتحققت .. تمام شغل تانى .. طبعا هنا نفس
+
+558
+00:41:15,400 --> 00:41:17,740
+العملية .. هنا نفس العملية .. كله مع الخطوط طب هنا
+
+559
+00:41:17,740 --> 00:41:23,000
+تجاه المجال كيف؟ فضاحة .. اذا صحيح .. طيب شغل تانى
+
+560
+00:41:23,000 --> 00:41:28,960
+.. رجلي عدد خطوط المجال هنا و هنا .. خطوط المجال
+
+561
+00:41:28,960 --> 00:41:35,690
+.. طبعا نفس المساحة ..الأولى كم خط فحّة، التانية
+
+562
+00:41:35,690 --> 00:41:39,690
+إن الكتابة هو الأكتر في الأولى، وهذا المجال أكبر
+
+563
+00:41:39,690 --> 00:41:42,890
+ولا مش مجال أكبر؟ صح لأنه أقرب، إذن برضه منطقي إن
+
+564
+00:41:42,890 --> 00:41:47,370
+عدد خطوط المجال تتناسب .. كل واحدة في مساحة تتناسب
+
+565
+00:41:47,370 --> 00:41:50,390
+مع شدة المجال برضه منطقي، وطبعا واضحين إن مافيش
+
+566
+00:41:50,390 --> 00:41:53,620
+عندك خطوط بتتقاطعهذه positive وهذه negative لما
+
+567
+00:41:53,620 --> 00:41:56,480
+يكون عندك positive و negative يكون اتجاه begin at
+
+568
+00:41:56,480 --> 00:42:00,080
+positive and terminate at negative يبدأ من ال
+
+569
+00:42:00,080 --> 00:42:02,480
+positive وينتهي عند ال negative هنا طبعا في
+
+570
+00:42:02,480 --> 00:42:06,280
+positive و في positive بنتيجة الخط يبدأ و يبحث عن
+
+571
+00:42:06,280 --> 00:42:08,520
+ال negative يبقى يبحث عني عندما يجيه مابنقهش و
+
+572
+00:42:08,520 --> 00:42:11,660
+يبقى براحه تمام؟ مافيش عنده نهاية لأن مافيش
+
+573
+00:42:11,660 --> 00:42:15,520
+negative يتشارج حواليه to terminate the other طبعا
+
+574
+00:42:15,520 --> 00:42:19,660
+هذه خطوة معروفة جاية من أحد الأمثلة هذه سهلة سهلة
+
+575
+00:42:21,980 --> 00:42:27,100
+هان و هان المجال هنا أضعف من هنا طب لو حكالي شباب
+
+576
+00:42:27,100 --> 00:42:31,680
+انا عندي خطوط مجال زي ذلك متوازية بدأ اقصمهم
+
+577
+00:42:31,680 --> 00:42:40,940
+احكيهم خطوط
+
+578
+00:42:40,940 --> 00:42:44,720
+المجال جالين هيك ولا عشان بيكون المجال يعني خطوط
+
+579
+00:42:44,720 --> 00:42:46,980
+المجال بيبقى متنقل من المجال المعلومة الأولى اللي
+
+580
+00:42:46,980 --> 00:42:49,760
+حكيتها كل ما بعدنا من جوبيل و لا جوبيل
+
+581
+00:42:52,740 --> 00:42:56,620
+يعني خطوط المجارة إجت عشان المعلومات السابقة
+
+582
+00:42:56,620 --> 00:43:00,340
+أشوفها بس، ان كل ظهر عندي كرسي، لكن المعلومات
+
+583
+00:43:00,340 --> 00:43:04,100
+ماتغيرتش، ان كل مبادئ عن الشحنة، بدكون المجار إيش
+
+584
+00:43:04,100 --> 00:43:08,120
+صار فيه؟ يقل، ان انت توقع من التعريف أن خطوط
+
+585
+00:43:08,120 --> 00:43:12,680
+المجارة تقل كثرتها، بس، هي المعلومة واحدة، بس هذه
+
+586
+00:43:12,680 --> 00:43:17,480
+عشان تتأكد المعلومة وترسم المعلومةهذه خطوط شباب
+
+587
+00:43:17,480 --> 00:43:20,780
+متوازية اعتبروها لو انا دي بيتمساحها زي هيك
+
+588
+00:43:20,780 --> 00:43:25,740
+ومساحها زي هيك اتغيره الكثافة واحدة ولا لا ان لما
+
+589
+00:43:25,740 --> 00:43:29,400
+يقول لي uniform electric field كي بدرسم الخطوط
+
+590
+00:43:29,400 --> 00:43:32,900
+متوازية يعني ال uniform electric field لازم تكون
+
+591
+00:43:32,900 --> 00:43:36,340
+الخطوط متوازية عشان الكثافة تكون ثابتة في الخطوط
+
+592
+00:43:36,340 --> 00:43:41,760
+المتوازية الكثافة بتكون ثابتة لكن لما هيطبعا واضح
+
+593
+00:43:41,760 --> 00:43:45,300
+ان هي كذا فكرة فظبط ولا لأ اذا لما يقول انه form
+
+594
+00:43:45,300 --> 00:43:49,460
+of natural field برسمها بخطوط متوازية طيب اخر حاجة
+
+595
+00:43:49,460 --> 00:43:55,740
+في هذا الشطةحكاية للتالي قال انت في بداية الشطر
+
+596
+00:43:55,740 --> 00:43:59,360
+ربطت الفيزيائي في الفيزيا با لما جبت ال two
+
+597
+00:43:59,360 --> 00:44:03,020
+spheres علقتهم و اتنفروا و صاروا equilibrium
+
+598
+00:44:03,020 --> 00:44:07,400
+ذاكرينه و حطينا شرط ال equilibrium و حلنا ايش وجد
+
+599
+00:44:07,400 --> 00:44:11,420
+عندك قوة كهربية صح ولا قوة كهربية زي هذه الشدعة
+
+600
+00:44:11,420 --> 00:44:15,840
+اتعاملتنا معاها زي هذه الوزن الان بيقولك كمان في
+
+601
+00:44:15,840 --> 00:44:19,340
+عندك معلومة و انت تشرح في شدة المجال الكهربائي
+
+602
+00:44:19,340 --> 00:44:23,540
+بقول الشحنة حطتها في مجال ايش بدوصل فيها؟تتعرض
+
+603
+00:44:23,540 --> 00:44:27,700
+لقوة .. قوة كهربية مظبوط ولا لأ؟ طب القوة الكهربية
+
+604
+00:44:27,700 --> 00:44:30,840
+انطبق عليها قوانين النيوتن ولا لأ انطبق؟ قوانين
+
+605
+00:44:30,840 --> 00:44:33,220
+النيوتن التالت عملنا عليه ال test و آمننا فيه طب
+
+606
+00:44:33,220 --> 00:44:36,240
+النيوتن التاني برضه بينطبق .. ايش النيوتن التاني
+
+607
+00:44:36,240 --> 00:44:40,420
+بيحكي؟ بيقول every force create an acceleration صح
+
+608
+00:44:40,420 --> 00:44:44,100
+ولا لأ؟ لأن F بيساوي MA إذا في عندك acceleration
+
+609
+00:44:44,100 --> 00:44:48,210
+طب وإذا ال acceleration ها دي لو كان ثابتةممكن
+
+610
+00:44:48,210 --> 00:44:52,670
+تشتغل فيه من القوانين V بيساوي V not plus AT و X
+
+611
+00:44:52,670 --> 00:44:56,290
+بيساوي V not plus half ET تربيع و V تربيع بيساوي V
+
+612
+00:44:56,290 --> 00:44:59,990
+not تربيع plus 2AX ولا لأ اه اذا نفس القوانين ممكن
+
+613
+00:44:59,990 --> 00:45:05,410
+تتطبق فبقولي قلينا احنا وياك ندرس حالة الـcharged
+
+614
+00:45:05,410 --> 00:45:09,110
+particle موجود في مجال كهربائي الـcharged particle
+
+615
+00:45:09,110 --> 00:45:12,190
+موجود في مجال كهربائي يعني هي قوة كهربية تمام
+
+616
+00:45:12,190 --> 00:45:16,110
+بيقولي the electric force obeys Newton's laws هذه
+
+617
+00:45:16,110 --> 00:45:21,310
+معلومة سابقةالقوة الكهربية ينطبق عليها جميع قوانين
+
+618
+00:45:21,310 --> 00:45:24,830
+النيوتن التلاتة الأول والتاني والتالت this means
+
+619
+00:45:24,830 --> 00:45:29,090
+that this force will create an acceleration لأن
+
+620
+00:45:29,090 --> 00:45:36,250
+النيوتن التاني بقول a بتسوي f على m فف في a إذا if
+
+621
+00:45:36,250 --> 00:45:40,530
+a particle of mass m and its charge q exist in a
+
+622
+00:45:40,530 --> 00:45:45,360
+uniform electric field E is uniformThe electric
+
+623
+00:45:45,360 --> 00:45:51,020
+force acting on the charge is Fe بساوة Q في الـ E
+
+624
+00:45:51,020 --> 00:45:55,200
+أخدته ولا لأ؟ أخدته؟ طب ف بساوة م أه؟ بعرفه ولا
+
+625
+00:45:55,200 --> 00:45:58,740
+ماعرفوش؟ بعرفها من النوتر التاني إذا القوة
+
+626
+00:45:58,740 --> 00:46:03,500
+الكهربية بساوة Q في ال E هال Q و هال في E في قوة
+
+627
+00:46:03,500 --> 00:46:07,620
+كهربية طب بساوة م أه؟ أه بساوة م أه بقدر أجيب ال
+
+628
+00:46:07,620 --> 00:46:09,900
+acceleration من هذا القانون الشباب ولا لأ؟ بقدر
+
+629
+00:46:09,900 --> 00:46:15,520
+أجيبه فهذا acceleration إذا في accelerationطبعا
+
+630
+00:46:15,520 --> 00:46:21,500
+واضح شباب الان اكيو ثابت للجسم و ال mass ثابتة اذا
+
+631
+00:46:21,500 --> 00:46:24,360
+كانت E uniform يعني ثابتة اذا ال next question
+
+632
+00:46:24,360 --> 00:46:29,880
+مالها ثابتة صحيح ولا لا بيقولني since E is uniform
+
+633
+00:46:29,880 --> 00:46:33,140
+لانه قاللي هو uniform electric field اذا E is
+
+634
+00:46:33,140 --> 00:46:37,870
+constantوما زال E is constant and the formulas
+
+635
+00:46:37,870 --> 00:46:41,330
+govern the motion with constants acceleration are
+
+636
+00:46:41,330 --> 00:46:44,950
+still hold اذا قوانينك التلاتة او معادلتك التلاتة
+
+637
+00:46:44,950 --> 00:46:50,150
+تبعة الحركة بتسارق ثابت ما زالت ساريات المفقود
+
+638
+00:46:50,150 --> 00:46:53,650
+مافيش عندك تغيير تمام؟ مافيش شي جديد؟ مافيش شي
+
+639
+00:46:53,650 --> 00:46:57,650
+جديد بس ال force صارت متساوي Q في ال E ال
+
+640
+00:46:57,650 --> 00:47:00,850
+acceleration متساوي أفعل A بقى لفة من زمان التلات
+
+641
+00:47:00,850 --> 00:47:04,720
+قوانينبعرفها من زمان مافيش أي معلومة جيدة نحيها
+
+642
+00:47:04,720 --> 00:47:09,340
+الأمثلة بيقولي a particle a positive pointy charge
+
+643
+00:47:09,340 --> 00:47:17,120
+شحنة موجبة Q and mass M is released from rest
+
+644
+00:47:17,120 --> 00:47:22,360
+ماديش صورة على التدقية released from rest in a
+
+645
+00:47:22,360 --> 00:47:26,440
+region of electric field describe its motion شحنة
+
+646
+00:47:26,440 --> 00:47:30,220
+شباب ماسك شحنة وقت في مجال الكهربا بتدفلكها بتضلها
+
+647
+00:47:30,220 --> 00:47:34,180
+واطفةلأ لما بيبصوا عليها .. بيبصوا عليها تتخرج
+
+648
+00:47:34,180 --> 00:47:37,060
+طبعا كيف تتخرج تبقى على القوة لابتروح يمين لابتروح
+
+649
+00:47:37,060 --> 00:47:39,840
+شمال لابتروح فوق لابتروح تحت مظبوطة ولا لأ لما
+
+650
+00:47:39,840 --> 00:47:44,620
+بيبقوا عليها تتخرج قال ليه شوية اشتغل على الحركة
+
+651
+00:47:44,620 --> 00:47:49,680
+تبعتها برضه هنا في خط رايح المشكلة وين مش عارف ايش
+
+652
+00:47:49,680 --> 00:47:55,840
+هنا في خط شباب زي هذا بالظبط هنا و هذه المجال كيف
+
+653
+00:47:55,840 --> 00:48:03,070
+اتجاه المجال سيلي و الشحنة موجبةقولكم القوة هيها
+
+654
+00:48:03,070 --> 00:48:07,690
+القوة شايفينها؟ وقتيش هذي و هذي بيكونوا في نفس
+
+655
+00:48:07,690 --> 00:48:14,410
+الاتجاه لما تكون ال Q positive صح؟ طب لو كان ال Q
+
+656
+00:48:14,410 --> 00:48:21,790
+سالب اتنقس في حالة Q كيف شباب؟ إيش المثال بيقول؟
+
+657
+00:48:23,010 --> 00:48:25,930
+أنا هتطيب هالقوة بتكون مع المجال و لا عكس المجال
+
+658
+00:48:25,930 --> 00:48:30,130
+معها عشان كده هتتحرك شوفوا كيف بتتحرك لإن القوة هي
+
+659
+00:48:30,130 --> 00:48:33,310
+اللي حركتها هجيت انا هذا هذا الجلم لو بدى فاهمتوا
+
+660
+00:48:33,310 --> 00:48:37,050
+بدى طلع فوق ولا بدى نزل تحت مين نزل تحت؟لأنه
+
+661
+00:48:37,050 --> 00:48:40,210
+يجذبياك في اتجاهها لأسفل حاجة انا عندي electron
+
+662
+00:48:40,210 --> 00:48:44,510
+وين يروح خصم القوة اذا القوة كعربية هيك بيروح هيك
+
+663
+00:48:44,510 --> 00:48:48,190
+صح ولا لا اذا القوة كعربية هيك بيروح هيك طب القوة
+
+664
+00:48:48,190 --> 00:48:51,530
+كيف بتعرفها بقول تعرفها من شغلتين اتجاه المجال و
+
+665
+00:48:51,530 --> 00:48:54,890
+نوع الشحنة اتجاه المجال و نوع الشحنة اذا الشحنة
+
+666
+00:48:54,890 --> 00:48:58,930
+موجبة قوتها مع مجالها اذا الشحنة سائبة قوتها بيبقى
+
+667
+00:48:58,930 --> 00:49:02,850
+مع مجالها من هذا القانون ها انا هنا مع المجال تمام
+
+668
+00:49:03,330 --> 00:49:06,470
+Solution بيقولي the acceleration of the charge
+
+669
+00:49:06,470 --> 00:49:09,450
+عشان انا بدي اتدرس الحركة بدي اول حاجة ال
+
+670
+00:49:09,450 --> 00:49:12,490
+acceleration ما ال acceleration طلعتها شباب طلعتها
+
+671
+00:49:12,490 --> 00:49:17,150
+هي QE على M شايفين القانون الفجاني اللي هو مش
+
+672
+00:49:17,150 --> 00:49:22,450
+قانون يعتبر قانون جديد طيب E مش باتجاه ال I سيني
+
+673
+00:49:22,450 --> 00:49:27,590
+فالتسارع سيني فأمني صحيح مافيش مشكلة طيب التسارع
+
+674
+00:49:27,590 --> 00:49:34,150
+سينيوالكتلة مافيش إلها أي سرعة ابتدائية لما فلتها
+
+675
+00:49:34,150 --> 00:49:39,970
+ممكن يكونها حركة صادية؟ مين بتحركها صادية؟ مافيه
+
+676
+00:49:39,970 --> 00:49:44,150
+ده قوة؟ القوة كيف اتجاهها؟ صينية، إذا الحركة كلها
+
+677
+00:49:44,150 --> 00:49:48,130
+صينية، مافيش مجال تروح صادية، لأنه أنا عندي .. هاي
+
+678
+00:49:48,130 --> 00:49:52,890
+واحد موقف، هاي واقف، إجي واحد بده حركه صيني، بدي
+
+679
+00:49:52,890 --> 00:49:58,450
+أحد يقولّك ده حصادي؟تمام؟ هل جيت ال projectile
+
+680
+00:49:58,450 --> 00:50:04,610
+motion لو انت حركته سيني، اللي هو حركة صادية؟ ايه
+
+681
+00:50:04,610 --> 00:50:07,910
+بقول الله؟ مين اللي بيبقى حركة صادية؟ الجاذبية
+
+682
+00:50:07,910 --> 00:50:13,270
+الأرضيةلأن الجاذبية عرضية على خطرك هي صادية انت لو
+
+683
+00:50:13,270 --> 00:50:17,510
+قصفت حجر هيك سيني قوله انا اقصفك سيني تماما،
+
+684
+00:50:17,510 --> 00:50:20,210
+بيبقوا ماشي عادين؟ ولا بيبقوا ينزلوا عارض؟ من
+
+685
+00:50:20,210 --> 00:50:26,150
+ينزلوا؟ القوة الصادية، هنا لكن لو هذا هي صلحة
+
+686
+00:50:26,150 --> 00:50:29,510
+ابتدائي جزيره، بدا فالتو، منشي سيني؟ولا بده ينزل
+
+687
+00:50:29,510 --> 00:50:32,590
+صاضي لأنه ليش قوة الوحيدة اللي جته الصاضية و هنا
+
+688
+00:50:32,590 --> 00:50:35,910
+نفس العملية عندك جسم ساكن عنده قوة صينية اذا
+
+689
+00:50:35,910 --> 00:50:39,030
+الحركة الصينية خاطعة تمام بيقولي since v not
+
+690
+00:50:39,030 --> 00:50:43,310
+بتساوي zero ال acceleration is along the x axis و
+
+691
+00:50:43,310 --> 00:50:46,650
+ال motion is linear صيني مش عندك إلا حركة صينية
+
+692
+00:50:46,650 --> 00:50:50,620
+نفس قضيةماذا يجب أن يفعل؟ يقول إنه يريد أن يجلب
+
+693
+00:50:50,620 --> 00:50:56,440
+بعد وقت T بعد زمن معين يقول الـ particle is a
+
+694
+00:50:56,440 --> 00:50:59,180
+distance travelled by .. يريد أن يجلب أكم متر
+
+695
+00:50:59,180 --> 00:51:03,400
+ماشية يجب أن يجلبها I X بسوة B NOT في T plus half
+
+696
+00:51:03,400 --> 00:51:08,020
+E T تربيع هل تعرفوا هذا القانون؟ V NOT كم؟ Zero
+
+697
+00:51:08,730 --> 00:51:14,390
+تمام و A عارفينها و T هي بجايزنى زمان عند اى زمان
+
+698
+00:51:14,390 --> 00:51:17,610
+بتقدر يجيب X شباب صح ولا لأ بس بدك تعرف ان شهوه
+
+699
+00:51:17,610 --> 00:51:21,570
+الزمان طيب not that برضه لو بدك تجيب الصروحة
+
+700
+00:51:21,570 --> 00:51:25,630
+النهائية الصروحة عند اى زمان V تربيع بسوا V not
+
+701
+00:51:25,630 --> 00:51:30,210
+تربيع plus two A X برضه ذاكرينه V not قداش Zero
+
+702
+00:51:30,210 --> 00:51:35,640
+اذا هدها Zero اتنين و هد A معاوفها و X هيهاصح ولا
+
+703
+00:51:35,640 --> 00:51:38,480
+لأ؟ إذا برضه بتقدر تجيبه بس بدك تعرفها في ال T مش
+
+704
+00:51:38,480 --> 00:51:43,080
+قضية طيب في شغلات تانية إذا V بيساوي QE على M في
+
+705
+00:51:43,080 --> 00:51:47,140
+ال T هذه طبعا دائما تعرفوا إن فيه هناك شيء لحد
+
+706
+00:51:47,140 --> 00:51:49,040
+اللي أنا مش فاهم مرة بظهر ومرة ما بظهرش ليش مش
+
+707
+00:51:49,040 --> 00:51:54,840
+عارف هل المنطقة دي في اللغة فيها مشكلة مش عارف اه
+
+708
+00:51:54,840 --> 00:51:58,560
+يمكن اه ممكن بس بقولك طبعا هو ضابر كل بس ماعرفش
+
+709
+00:51:58,560 --> 00:52:04,070
+ليش السبب طيبطيب، شغلة تانية خدناها فيزي ألف مبدأ
+
+710
+00:52:04,070 --> 00:52:07,130
+الـ conservation of energy، ذاكرينه؟ ذاكرين هذا
+
+711
+00:52:07,130 --> 00:52:13,330
+القانون؟ الـ W net بالثواب ده التكيه؟ تمام؟ الـ W،
+
+712
+00:52:13,330 --> 00:52:18,450
+الشغل، مين ذاكره؟ إيش بيساوي؟ الشغل إيش بيساوي؟
+
+713
+00:52:18,450 --> 00:52:24,930
+قوة في مسافة، في إيزاحة، صح؟ القوة الكهربية مش
+
+714
+00:52:24,930 --> 00:52:31,890
+بيساوي الـQ في الـE، والإيزاحة، ده أعتبرها XQE F F
+
+715
+00:52:31,890 --> 00:52:36,130
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+716
+00:52:36,130 --> 00:52:36,130
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+717
+00:52:36,130 --> 00:52:39,370
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+718
+00:52:39,370 --> 00:52:42,470
+F F F
+
+719
+00:52:42,470 --> 00:52:46,230
+F F F F F F F F F F
+
+720
+00:52:46,230 --> 00:52:47,330
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+721
+00:52:47,330 --> 00:52:47,330
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+722
+00:52:47,330 --> 00:52:47,330
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+723
+00:52:47,330 --> 00:52:47,330
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+724
+00:52:47,330 --> 00:52:47,330
+F F F F F F F F F F F F F F F F F F F F F F F F F
+
+725
+00:52:47,330 --> 00:52:51,990
+F F F F
+
+726
+00:52:51,990 --> 00:52:55,720
+F F Fهذه ليست قضية فقط لكي نعرف أن قوانين فيزيا
+
+727
+00:52:55,720 --> 00:53:01,480
+الف تنطبق لأن هذه قوة وما زالت قوة كهربية زيها زي
+
+728
+00:53:01,480 --> 00:53:07,200
+جميع القوة تمام اخر مثالبيقول لي ال electron
+
+729
+00:53:07,200 --> 00:53:12,600
+بتعرفون electron مشحون ولا مش مشحون شحنته ايش سالب
+
+730
+00:53:12,600 --> 00:53:17,320
+القوة الكهربية مع المجال ولا عكس المجال عكس المجال
+
+731
+00:53:17,320 --> 00:53:21,880
+لأن الشحنة سالبة بيقول لي ال electron is projected
+
+732
+00:53:21,880 --> 00:53:26,040
+horizontally انا مشيته باتجاه الصيني بتشوف بتظل
+
+733
+00:53:26,040 --> 00:53:33,820
+صيني ولا لاوين وجيته؟ في منطقة in a region of
+
+734
+00:53:33,820 --> 00:53:36,940
+uniform electric field between two plates of two
+
+735
+00:53:36,940 --> 00:53:40,740
+hundred newton per column and directed vertically
+
+736
+00:53:40,740 --> 00:53:43,620
+upward المجال القهوة بقى أداني مقضاه و أداني
+
+737
+00:53:43,620 --> 00:53:47,880
+البريشن تبعه، upward شايفين اتجاه المجال؟ كيف
+
+738
+00:53:47,880 --> 00:53:52,020
+اتجاه المجال؟ يعني ليه أعلى و ليه مش أعلى؟ زي ما
+
+739
+00:53:52,020 --> 00:53:56,680
+هو بده القوة العادلة في هون كيف بتكون؟أعلى ولا
+
+740
+00:53:56,680 --> 00:54:01,840
+أسفل؟ أسفل لإنه عكسها إذا أنا أمشي عدل بيظل عدل
+
+741
+00:54:01,840 --> 00:54:06,420
+ولا بينزل؟ بينزل غصب عنه تمام؟ سوف أظل بيبقى time
+
+742
+00:54:06,420 --> 00:54:11,000
+motion أنا كده هبقى عدل فما هتنزل ليش؟ لإن في قوة
+
+743
+00:54:11,000 --> 00:54:14,700
+صادية إلى أسفل و ليه في قوة صادية إلى أسفل؟ تمام
+
+744
+00:54:14,700 --> 00:54:18,120
+إيش بده؟ هل تشوف الإلكترونات النجاة الخضراء؟ بده
+
+745
+00:54:18,120 --> 00:54:24,240
+يخش ويدخل ويميل ويطلع هيطلع أفقي ولا هيطلع مائل؟
+
+746
+00:54:24,240 --> 00:54:29,340
+مائل إيش بده؟Find the acceleration of the electron
+
+747
+00:54:29,340 --> 00:54:32,920
+while it is in the field بيقول او جد ال
+
+748
+00:54:32,920 --> 00:54:35,260
+acceleration تبع الاترون هو جوا طبعا هو برا مافيش
+
+749
+00:54:35,260 --> 00:54:37,980
+ايه acceleration مافيش قوة لأنه عليه صحيح ولا لأ
+
+750
+00:54:37,980 --> 00:54:40,780
+اما جوا فيه قوة اذا فيه acceleration ايش بده كمان
+
+751
+00:54:40,780 --> 00:54:43,820
+how long is it in the field قال ليه قداش time
+
+752
+00:54:43,820 --> 00:54:47,840
+استغرقت الزمن من أول مدخل لآخر مدفأ ده خرج بده زمن
+
+753
+00:54:47,840 --> 00:54:52,380
+على سهلةWhat is the vertical displacement of the
+
+754
+00:54:52,380 --> 00:54:55,460
+electron inside the field؟ احنا اتفقنا انه بدهش
+
+755
+00:54:55,460 --> 00:54:59,900
+يطلع أدل، صح؟ بده يميل، جديش هذه الإزاحة الصادية
+
+756
+00:54:59,900 --> 00:55:04,120
+جديش؟ يعني إيش بده؟ بده هذه المسافة Y، شايفينها؟
+
+757
+00:55:04,120 --> 00:55:09,840
+قش من هنا و طول الحال، بدي هذه، Y جديش، هاي ال
+
+758
+00:55:09,840 --> 00:55:12,640
+vertical displacement، واضح شباب؟ هاي المطالب
+
+759
+00:55:12,640 --> 00:55:17,860
+تبعتنا، المطالب الأول سهلSolution The acceleration
+
+760
+00:55:17,860 --> 00:55:22,340
+of the electron is A بتساوي F على M قانون الممكن
+
+761
+00:55:22,340 --> 00:55:27,400
+التاني المعلومة الجديدة F بتساوي Q في E صح؟ High Q
+
+762
+00:55:27,400 --> 00:55:31,720
+في E على M الـ Q منين بتجيبها؟ شخصية الاترون انتوا
+
+763
+00:55:31,720 --> 00:55:34,620
+ملاحظين هنا فيه vectors و لما يكون فيه vectors
+
+764
+00:55:34,620 --> 00:55:37,780
+مافيش absolute values بدي اجيب الاترون بلحمه و
+
+765
+00:55:37,780 --> 00:55:41,180
+بشحمه فالبه أو
+
+766
+00:55:43,880 --> 00:55:48,720
+شايفين السالب؟ تبع الإلكروم one point six into
+
+767
+00:55:48,720 --> 00:55:53,780
+power minus nineteen ال E أعطاني ياه و جالي up
+
+768
+00:55:53,780 --> 00:55:59,540
+عشان كده حطيت J ولا لأ هو جالي up على كتلة
+
+769
+00:55:59,540 --> 00:56:03,440
+الإلكروم الشحيتكم إياها تعتيركم تسعة point eleven
+
+770
+00:56:03,440 --> 00:56:07,140
+into power minus thirty one شوفوا في شغلات انها
+
+771
+00:56:07,140 --> 00:56:13,030
+مضيعة بتجلب كل الدنيا هذه الشطة سالبطلعتها بالسالب
+
+772
+00:56:13,030 --> 00:56:16,630
+هي ال acceleration ال acceleration صادية ولا سينية
+
+773
+00:56:16,630 --> 00:56:21,530
+صادية ولا أسفل ولا لأ لأن فيه سالب في مركبة سينية
+
+774
+00:56:21,530 --> 00:56:25,050
+لل acceleration إذا إن السرعة السينية ثابتة ولا
+
+775
+00:56:25,050 --> 00:56:29,190
+تتغير ثابتة صار زي ال projectile motion بيشبهه ولا
+
+776
+00:56:29,190 --> 00:56:33,230
+لأ بس ال acceleration بيسويش 9.8 بيساوي هذا المخدر
+
+777
+00:56:33,230 --> 00:56:38,070
+احنا ذاكرين for projectile motion كنا نقول ايه
+
+778
+00:56:38,070 --> 00:56:46,370
+بيساوي سالب 9.8 في Gصح اللي هي DG هاي ال
+
+779
+00:56:46,370 --> 00:56:50,130
+projectile motion ايش الأفضل ان هذا المفضل تغير بس
+
+780
+00:56:50,130 --> 00:56:54,930
+طيب يالا ننحل مافيش شيء جيد this means that Ax
+
+781
+00:56:54,930 --> 00:56:58,590
+تساوي سفر يعني مافيش مراكبة سينية لتسارع يعني
+
+782
+00:56:58,590 --> 00:57:04,410
+تسارع السينية ثابتة تمام بتدوس زمان يعني انتوا
+
+783
+00:57:04,410 --> 00:57:08,780
+ذاكرين في projectile motionأو بصفة عامة في الـ two
+
+784
+00:57:08,780 --> 00:57:11,380
+dimensional motion كنا نجسم الحركة إلى سينية و
+
+785
+00:57:11,380 --> 00:57:14,260
+صادية صح ولا لأ؟ طيب إذا ما سينية ولا صادية؟
+
+786
+00:57:16,780 --> 00:57:21,320
+زمن مشترك من الـ T زمن مشترك من الـ T زمن مشترك من
+
+787
+00:57:21,320 --> 00:57:22,500
+الـ T زمن مشترك من الـ T زمن مشترك من الـ T زمن
+
+788
+00:57:22,500 --> 00:57:23,160
+مشترك من الـ T زمن مشترك من الـ T زمن مشترك من الـ
+
+789
+00:57:23,160 --> 00:57:23,440
+T زمن مشترك من الـ T زمن مشترك من الـ T زمن مشترك
+
+790
+00:57:23,440 --> 00:57:28,460
+من الـ T زمن مشترك من الـ T زمن مشترك من الـ T زمن
+
+791
+00:57:28,460 --> 00:57:31,780
+مشترك من الـ T زمن مشترك من الـ T زمن مشترك من الـ
+
+792
+00:57:31,780 --> 00:57:32,120
+T زمن مشترك من الـ T زمن مشترك من الـ T زمن مشترك
+
+793
+00:57:32,120 --> 00:57:32,200
+من الـ T زمن مشترك من الـ T زمن مشترك من الـ T زمن
+
+794
+00:57:32,200 --> 00:57:41,380
+مشترك من الـ T زمن مشترك من الـ T زمن مشترك من الـ
+
+795
+00:57:41,380 --> 00:57:48,330
+T زمن مشترك من الـو في الصين مافيش إلا معاجلة
+
+796
+00:57:48,330 --> 00:57:54,010
+واحدة صح ولا لأ تمام من أي معاجلة حسب المتاح إيش
+
+797
+00:57:54,010 --> 00:57:59,640
+حكالي في المثال قاللي هاجي المسافةالدان هيها 0.1
+
+798
+00:57:59,640 --> 00:58:03,380
+متر شباب اعطانيها هذه المسافة سينية او نص سينية؟
+
+799
+00:58:03,380 --> 00:58:08,880
+سينية طب وهذه مش هي الصراع الاقتدائية مش الصراع
+
+800
+00:58:08,880 --> 00:58:12,960
+الاقتدائية سينية برضه هو حكالي tradition هذه
+
+801
+00:58:12,960 --> 00:58:15,740
+المنطقة اذا جيبوا من هنا واش بعرف ان انا بيوا
+
+802
+00:58:15,740 --> 00:58:20,240
+يقدش؟ بعرفش طب هنا فصلا واي مطلوبة لأن لا هذه
+
+803
+00:58:20,240 --> 00:58:24,520
+بتجرى تطلعلي T ولا هذه بتجرى تطلعلي T هذه المعادلة
+
+804
+00:58:24,520 --> 00:58:31,050
+هي اللي بتجيبلي TT بيتساوي X على BX و X عطانياها
+
+805
+00:58:31,050 --> 00:58:37,670
+بتساوي 0.1 و BX تلاتة في عشرة أقص ستة طلعت الزمن
+
+806
+00:58:37,670 --> 00:58:41,150
+three point three three ten to power minus eight
+
+807
+00:58:41,150 --> 00:58:46,870
+second طلع الجواب سهل بيكتره
+
+808
+00:58:46,870 --> 00:58:47,590
+يبقى من هنا Y
+
+809
+00:58:52,140 --> 00:58:58,120
+V0 صفر لإنها V0Y شبه وعكالة السرعة الإبتدائية كانت
+
+810
+00:58:58,120 --> 00:59:03,300
+صينية إذا ما العاش مركبة صاضية إذا ما بيقولي Y
+
+811
+00:59:03,300 --> 00:59:09,340
+بيساوي V0Y في T plus half AY T square احكي سألني
+
+812
+00:59:09,340 --> 00:59:17,000
+شو اللي ضاع عنك شى ايه ات جذبك هنا انت هيا ايه هو
+
+813
+00:59:17,000 --> 00:59:20,900
+طلع نهاشي الفرع الأول جهزي
+
+814
+00:59:22,370 --> 00:59:28,430
+عوض عوضت ال V0Y اتفقنا سفر بالسوء زائد نص بجل ال
+
+815
+00:59:28,430 --> 00:59:31,070
+AY سالب تلاتة point fifty one ten to power
+
+816
+00:59:31,070 --> 00:59:35,590
+thirteen طلعناها من الفرق الأول في T² هي T ولا
+
+817
+00:59:35,590 --> 00:59:39,130
+نقول هذ T الصينية ما بناخدها صغيرة لأ لأ نفس ال T
+
+818
+00:59:39,130 --> 00:59:44,390
+حتى ال T طلعت ناقص ليش ناقص العجواء لأ لأ أسفة
+
+819
+00:59:44,390 --> 00:59:48,790
+ذاكرينها لأ أسفة فهو طلع عجواء زي فقط فادر الفقيدة
+
+820
+00:59:48,790 --> 00:59:53,460
+في مشكلة فادرخلص الشرطة
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..441faea9a2ca777ebe2f4675a6318fa3c744a7b3
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8.srt
@@ -0,0 +1,2060 @@
+1
+00:00:11,040 --> 00:00:16,010
+بسم الله الرحمن الرحيم كمان مرة الـ quiz chapter 2
+
+2
+00:00:16,010 --> 00:00:19,230
+هيبدأ ساعتين أو دورتين طبعًا ليش عملتوا اثنين اثنين
+
+3
+00:00:19,230 --> 00:00:22,110
+أنا عادة بعمله ثمانية لأنه أنا متوقع أنه في ال
+
+4
+00:00:22,110 --> 00:00:25,590
+weekend الماضي طلاب استعدوا لل chapter وما بيصدقوا
+
+5
+00:00:25,590 --> 00:00:29,230
+يخلصوا و يدرسوا و يبدؤوا فيه فقولت بديش أخرهم لساعتين
+
+6
+00:00:29,230 --> 00:00:31,950
+اثنين قبل ما يناموا و يتغدوا يفوتوا على ال quiz و
+
+7
+00:00:31,950 --> 00:00:36,730
+يحلوا بدي استمر ليوم الجمعة الساعة اثنا عشر إلا خمسة
+
+8
+00:00:36,730 --> 00:00:42,550
+ليلاً طبعًا لأنه عندنا فترة طويلة وبالتالي ما بديش
+
+9
+00:00:42,550 --> 00:00:45,970
+الطالب يوم الجمعة يبدأ لأن يوم الجمعة إذا عنده 
+
+10
+00:00:45,970 --> 00:00:49,230
+مشكلة هكذا يصلي حتى لو بعث لي email أنا مش بالضرورة
+
+11
+00:00:49,230 --> 00:00:51,630
+أكون فاضي قاعد على ال laptop و بتابع ال email
+
+12
+00:00:51,630 --> 00:00:55,730
+تبعكم تمام؟ بالتالي المفروض الطالب يبدأ إذا مش
+
+13
+00:00:55,730 --> 00:00:59,630
+اليوم بكرة لأن ما فيش مجال يشوفني على الضمان إلا
+
+14
+00:00:59,630 --> 00:01:02,270
+يوم الثلاثاء في المحاضرة أو حد أقصى يوم الأربعاء في
+
+15
+00:01:02,270 --> 00:01:06,090
+المكتب فتكون أنت جربت و خلصت و اطمأننت أن كل شيء 
+
+16
+00:01:06,090 --> 00:01:10,670
+تمام قطعت الكهرباء قطعت الإنترنت جانبي لهذا الكلام it
+
+17
+00:01:10,670 --> 00:01:15,160
+is up to you و أنت بتتحمل مسؤولية تمام في المحاضرة
+
+18
+00:01:15,160 --> 00:01:21,520
+الآن هنبدأ شباب ب chapter جديد chapter three واللي عنوانه
+
+19
+00:01:21,520 --> 00:01:27,200
+electric potential دائمًا كل chapter احنا بنبدأ زي ما
+
+20
+00:01:27,200 --> 00:01:32,500
+أقول في chapter نبدأ chapter three electric potential ال
+
+21
+00:01:32,500 --> 00:01:35,920
+problem اللي كنتوا مفروض صراحة عندكم موجودة بس
+
+22
+00:01:35,920 --> 00:01:40,440
+برضه في إعادة إفادة ال problems ال recommending
+
+23
+00:01:40,440 --> 00:01:46,060
+المطلوبة منها كحد أدنى نحلها من الكتاب هي 3 5 7 9
+
+24
+00:01:46,060 --> 00:02:04,520
+15 17 21 22 23 33 34 43 45 46 49 58 59 66 68 69 71
+
+25
+00:02:05,630 --> 00:02:08,210
+هذه الأسئلة المطلوب أن نحلها طبعًا موجودة عينكم
+
+26
+00:02:08,210 --> 00:02:13,510
+طبعًا نبدأ potential difference and electric
+
+27
+00:02:13,510 --> 00:02:17,390
+potential كلمة potential مرت معنا من كلمة
+
+28
+00:02:17,390 --> 00:02:23,950
+potential energy طاقة الوضع براو كل قوة لها طاقة
+
+29
+00:02:23,950 --> 00:02:33,570
+وضع لِمحافظة كل قوة محافظة نستخدم قوة محافظة
+
+30
+00:02:33,570 --> 00:02:38,690
+لكل 
+
+31
+00:02:38,690 --> 00:02:42,190
+قوة محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة
+
+32
+00:02:42,190 --> 00:02:42,470
+محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة
+
+33
+00:02:42,470 --> 00:02:42,590
+محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة
+
+34
+00:02:42,590 --> 00:02:42,810
+محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة
+
+35
+00:02:42,810 --> 00:02:42,910
+محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة
+
+36
+00:02:42,910 --> 00:02:43,650
+محافظة لكل قوة محافظة لكل قوة محافظة لكل قوة
+
+37
+00:02:43,650 --> 00:02:48,620
+محافظة لكل قوة القوة الكهربية يقول لنا قوة محافظة و
+
+38
+00:02:48,620 --> 00:02:51,200
+أيام قرنناها بقوة الجذب العام يقول نفس الشكل
+
+39
+00:02:51,200 --> 00:02:54,180
+الرياضي إذا القوة الكهربية هي conservative force
+
+40
+00:02:54,180 --> 00:02:57,520
+ما زالت القوة الكهربية شباب conservative force إذا
+
+41
+00:02:57,520 --> 00:03:00,680
+في عندي الآن potential energy جديدة هي electric
+
+42
+00:03:00,680 --> 00:03:01,760
+potential energy
+
+43
+00:03:05,130 --> 00:03:09,470
+يقول لي consider a charged particle يقول لي خلي 
+
+44
+00:03:09,470 --> 00:03:15,070
+أني يكون عندي جسم مشحون شحنة Q موجود في مجال
+
+45
+00:03:15,070 --> 00:03:19,890
+كهربائي in a region of an electric field E ما زال
+
+46
+00:03:19,890 --> 00:03:22,590
+فيه شحنة و مجالي، ما زال فيه قوة ولا ما فيش قوة؟
+
+47
+00:03:22,590 --> 00:03:27,770
+فيه قوة this field exerts an electric force on the
+
+48
+00:03:27,770 --> 00:03:30,890
+particle given by F بيساوي Q في E طب أنت عايش بتدور
+
+49
+00:03:30,890 --> 00:03:34,290
+بقول له أنا عشان ال potential energy ربطولياها بال
+
+50
+00:03:34,290 --> 00:03:41,070
+work ذاكرينها أنّه w بيساوي سالب delta U صح ولا لأ و
+
+51
+00:03:41,070 --> 00:03:43,850
+ال work اللي علاقة بال force ولا لأ اللي علاقة بال
+
+52
+00:03:43,850 --> 00:03:50,310
+force بيقول لي when the particle moves from initial
+
+53
+00:03:50,310 --> 00:03:55,770
+point I to a final point F this force does work
+
+54
+00:03:55,770 --> 00:04:00,270
+تعمل شغل الشغل قوة و إزاحة تحركت الشحنة صار في
+
+55
+00:04:00,270 --> 00:04:03,770
+إزاحة في قوة في قوة ثم صار في شغل طب إيش قانون
+
+56
+00:04:03,770 --> 00:04:10,110
+الشغل؟ بيقول الشغل بيساوي W بيساوي التكامل F ضد ال
+
+57
+00:04:10,110 --> 00:04:15,510
+DL أو ال DS صح ولا لأ؟ الـ DS أو الـ DL ليه إزاحة؟ F
+
+58
+00:04:15,510 --> 00:04:19,450
+إيش بدالها يا شباب؟ QE مش هي F بيساوي QE لما تكون
+
+59
+00:04:19,450 --> 00:04:29,190
+ثابتة لما تكون ثابتة لما تكون ثابتة
+
+60
+00:04:29,190 --> 00:04:35,380
+بيصير سهلة تمام بما أن الطاقة الإلكترونية محافظة ..
+
+61
+00:04:35,380 --> 00:04:39,140
+أنا أديتكم المعلومة .. الطاقة محافظة في اللي
+
+62
+00:04:39,140 --> 00:04:42,300
+بتشتغل عليها .. نستطيع أن نشتغل فيها طاقة محافظة
+
+63
+00:04:42,300 --> 00:04:46,560
+.. زي ما عملنا U Spring و U Gravity .. و قلنا U
+
+64
+00:04:46,560 --> 00:04:50,040
+Gravity بيساوي MGH و U Spring بيساوي نصف KX تربيع
+
+65
+00:04:50,040 --> 00:04:52,580
+إذا كنتم ذاكرين .. بيقول لي .. بما أن الطاقة
+
+66
+00:04:52,580 --> 00:04:55,540
+الإلكترونية محافظة .. نستطيع أن نشتغل فيها طاقة
+
+67
+00:04:55,540 --> 00:05:00,680
+محافظة .. مع هذه الطاقة .. والعلاقة بيقول delta u
+
+68
+00:05:00,680 --> 00:05:07,340
+بيساوي سالب w ذاكرينها؟ مرت عليكم واحدة زي هذه؟
+
+69
+00:05:07,340 --> 00:05:14,220
+مرت طب هي ال w هيو إذا انصار في عندي delta u شباب
+
+70
+00:05:14,220 --> 00:05:23,770
+مش U final ناقص U initial Q-E-E-E-E-E-E-E-E-E-E
+
+71
+00:05:23,770 --> 00:05:34,510
+-E-E-E-E-E-E-E-E-E-E-E-E-E
+
+72
+00:05:34,510 --> 00:05:39,060
+-E بيقول let us now define the electric potential V
+
+73
+00:05:39,060 --> 00:05:41,220
+at the electric potential energy by the unit
+
+74
+00:05:41,220 --> 00:05:46,120
+charge كيف؟ نرجع لـ gravity الشباب هذا الجلم
+
+75
+00:05:46,120 --> 00:05:52,600
+شايفينه؟ لو فلقته جايبة واقف، بنزل، بقدر أقول إذا
+
+76
+00:05:52,600 --> 00:05:57,000
+عنده نقطة هادي في مجال جاذبية، صح؟ لو ما فيش مجال
+
+77
+00:05:57,000 --> 00:06:01,160
+جاذبية و حطيت الجلم، بتتحرك؟ ما تتحركش طب هذا نزل،
+
+78
+00:06:01,160 --> 00:06:02,220
+جديش القوة اللي عليه؟
+
+79
+00:06:10,460 --> 00:06:14,720
+القوة نفس قوة الجلم ولا MG إيش ده؟ تمام إذا أنا
+
+80
+00:06:14,720 --> 00:06:18,400
+هالجيت بدأ أقول ما زال حطيت كتلة وتحركت بقول في
+
+81
+00:06:18,400 --> 00:06:22,280
+مجال جاذبية صح ولا لأ؟ فبهذه المجالة عرفتها و في
+
+82
+00:06:22,280 --> 00:06:24,860
+مجال كهربائية و حسبته قال لي شغلة ثانية بدي غير
+
+83
+00:06:24,860 --> 00:06:28,000
+المجال قول لي انسى القلم و انسى المحاية و انسى أي
+
+84
+00:06:28,000 --> 00:06:30,800
+حاجة عند النقطة هذه في مجال و عند النقطة هذه في
+
+85
+00:06:30,800 --> 00:06:33,500
+مجال و عند النقطة هذه في مجال فجيت المجال مشكلته
+
+86
+00:06:33,500 --> 00:06:37,500
+مشكلة vector ولا لأ؟ جيب لي كمية مش vector أجيسها
+
+87
+00:06:37,500 --> 00:06:41,730
+قال خلينا نشتغل على شغلة اسمها جونتر هل جيت أنا لما
+
+88
+00:06:41,730 --> 00:06:46,390
+أقول راح الجلم و راحت المحاية، هل نفيت وجود مجال
+
+89
+00:06:46,390 --> 00:06:49,390
+عند النقطة هذه؟ إذا أنا بهمني النقطة، ما يهمنيش الجلم
+
+90
+00:06:49,390 --> 00:06:53,530
+و المحاية، بهمني النقطة، أقول عند النقطة في مجال
+
+91
+00:06:53,530 --> 00:06:58,740
+أو الآن بدي أقول فيه جهود في جهد بيقول لي إذا هادي Q
+
+92
+00:06:58,740 --> 00:07:01,620
+بدل الجلم و المحيا الشحنة أنا محط الشحنة اتحركت
+
+93
+00:07:01,620 --> 00:07:04,940
+قولت في مجال كهربائي ولا لا؟ مش موجود الشحنة أنت
+
+94
+00:07:04,940 --> 00:07:08,420
+فَالمجال الكهربائي؟ لأ موجود إذا صار بيقول لي الآن
+
+95
+00:07:08,420 --> 00:07:12,780
+بدي أعرف شغلة و انسى Q انسى المحيا و انسى الجلم
+
+96
+00:07:12,780 --> 00:07:19,560
+بدي انسى Q قال جسم ع Q طيب جسمت ع Q صار عندك كمية
+
+97
+00:07:19,560 --> 00:07:23,340
+energy على الكل energy على ال charge ماهياش energy
+
+98
+00:07:23,340 --> 00:07:29,290
+كمية جيدة هذه كمية جديدة سموها الجهد الكهربائي نقول
+
+99
+00:07:29,290 --> 00:07:33,470
+let us now define the electric potential V اللي
+
+100
+00:07:33,470 --> 00:07:39,350
+رمزه capital V من كلمة volt أو voltage هي volt اسم
+
+101
+00:07:39,350 --> 00:07:43,590
+العالم voltage للوحدة هي voltage برضه إله جابوها
+
+102
+00:07:43,590 --> 00:07:46,750
+هي ال potential difference أو voltage ال electric
+
+103
+00:07:46,750 --> 00:07:50,030
+potential energy بال limited charge يعني جسم ع ال
+
+104
+00:07:50,030 --> 00:07:52,690
+charge إذا هي التعريف تبعي الشباب من اليوم الطالع
+
+105
+00:07:52,690 --> 00:07:58,280
+كمية جديدة potential مش energy electric potential
+
+106
+00:07:58,280 --> 00:08:01,540
+potential لحالة بيقول energy potential جهود
+
+107
+00:08:01,540 --> 00:08:06,120
+كهربائي electric potential لما أقول أنا هنا في جهد
+
+108
+00:08:06,120 --> 00:08:11,080
+مجالي أو جاربية بقول فيه جهود بتساوي إيش؟ بتساوي
+
+109
+00:08:11,080 --> 00:08:15,940
+ال potential energy على ال mass بتطلع حاجة وأنّه
+
+110
+00:08:15,940 --> 00:08:23,120
+ما بديش ال mass هنا غير طب إيش الوحدة؟ جول على الكل مش
+
+111
+00:08:23,120 --> 00:08:25,660
+بتضطر لأ طيب جاله أنت إيش افرج إذا ما كنت جاي
+
+112
+00:08:25,660 --> 00:08:29,460
+بالمجال و فهمتني أنّه في مجال بقول المجال كان
+
+113
+00:08:29,460 --> 00:08:33,020
+مشكلته أنّه vectors و تعامل معه صعب طب هدي إيش جابت
+
+114
+00:08:33,020 --> 00:08:37,160
+جالي يول في ال bus vector ولا scalar ولا في المقام
+
+115
+00:08:37,160 --> 00:08:41,800
+scalar إذا أنت أصبح عندك كمية scalar و التعامل مع
+
+116
+00:08:41,800 --> 00:08:45,760
+ال scalar سهل عشان كده مين أشهر في التعامل التجاري
+
+117
+00:08:45,760 --> 00:08:50,740
+أنت بتقول كم واط ولا كم نيوتن لكلوم I can vote
+
+118
+00:08:50,740 --> 00:08:54,700
+إذا إنصاره الكمية الأشهر في التعامل هي الجهود لأنه
+
+119
+00:08:54,700 --> 00:08:58,260
+scalar تعامله سهل بكرة العامل الكهربائي اللي لا
+
+120
+00:08:58,260 --> 00:09:00,260
+عمره عارف إيش معه ال vector و ليش عمره ال scalar
+
+121
+00:09:00,260 --> 00:09:03,500
+بيصير فتشتري منه بيمديله الكهرباء في عمارة كبيرة صح
+
+122
+00:09:03,500 --> 00:09:08,480
+ولا لأ؟ لأنه تعامل مع كمية scalars سهلة إذا الكمية
+
+123
+00:09:08,480 --> 00:09:11,900
+بيقول U على Q طبعًا جولة على الكل قالوا هذه صارت
+
+124
+00:09:11,900 --> 00:09:15,900
+مشهورة وأنّه نرجع نقول العامل بيتعامل معها لا يعرف
+
+125
+00:09:15,900 --> 00:09:20,120
+جولة ولا يعرف الكل إذا هذه وحدة لأنّها كمية تستاهل
+
+126
+00:09:20,120 --> 00:09:22,760
+وحدة قالوا مين الشغل على هذه القضية قالوا volt
+
+127
+00:09:22,760 --> 00:09:26,820
+قالوا خلاص خلوها volt إذا هذه كمية بدل ما تقول جولة
+
+128
+00:09:26,820 --> 00:09:31,190
+على الكل بتستاهل تدّيها وحدة خاصة بها the electric
+
+129
+00:09:31,190 --> 00:09:34,310
+potential difference between the points I and F is
+
+130
+00:09:34,310 --> 00:09:38,890
+then طبعًا بس نكمل هذه Z طب U final بدي أجسم ع Q
+
+131
+00:09:38,890 --> 00:09:43,170
+شباب مش بيصير U final ع Q و U initial ع Q U final
+
+132
+00:09:43,170 --> 00:09:46,270
+ع Q بدي أكتب على حالها Z final و U initial ع Q و إيش
+
+133
+00:09:46,270 --> 00:09:54,210
+بدي أحط محالها؟ Z initial في مشكلة؟ طبعًا تمام طيب
+
+134
+00:09:54,210 --> 00:09:58,370
+نرجع برضه لل potential energy كنا نقول U final ناقص
+
+135
+00:09:58,370 --> 00:10:02,360
+U initial بيساوي MGH U final ناقص U initial سواء أم
+
+136
+00:10:02,360 --> 00:10:04,740
+دي اتش بعدين قلنا هذه ال U initial تضايقش تغلب
+
+137
+00:10:04,740 --> 00:10:09,140
+فيها اعتبرها Zero دلوقت مش كنا نختارها Zero كيف؟
+
+138
+00:10:09,140 --> 00:10:12,220
+ما كنا نختار level إذا كنتم ذاكرين و ال level هاد
+
+139
+00:10:12,220 --> 00:10:16,040
+عشان عندها Uish تكون Zero ليش؟ أنا بهمني ال Delta
+
+140
+00:10:16,040 --> 00:10:18,780
+ما يهمنيش ال U عند نقطة معينة أنا بهمني ال Delta
+
+141
+00:10:18,780 --> 00:10:24,220
+بالتالي أنت خد لك reference و خلص هنا بس بيقول
+
+142
+00:10:24,220 --> 00:10:26,880
+بيقول لي the potential difference V final ناقص V
+
+143
+00:10:26,880 --> 00:10:32,700
+initial is defined as the work required to move a
+
+144
+00:10:32,700 --> 00:10:36,860
+positive unit charge from point I to point F كيف
+
+145
+00:10:36,860 --> 00:10:43,680
+عملها كل هو هذه Q لما تكون موجودة هذه شغل صح أو لا
+
+146
+00:10:43,680 --> 00:10:50,720
+هذه شغل إذا الجهد هو الشغل اللي لازم عشان ينقل شحنة
+
+147
+00:10:50,720 --> 00:10:54,500
+هادي و ما تقولش بيصير هادي، لما هادي بيصير واحد، مظبوط
+
+148
+00:10:54,500 --> 00:10:59,600
+ولا لا؟ يعني هادي و هادي بيساوي بعض إذا Q بيصير
+
+149
+00:10:59,600 --> 00:11:02,820
+واحد ولا لا، طلع الطرف هذا والطرف هذا، لو Q هنا
+
+150
+00:11:02,820 --> 00:11:05,500
+بيصير واحد باشي نفسي هادي، هجد هادي شغل ولا مش
+
+151
+00:11:05,500 --> 00:11:08,970
+شغل؟ إيه كم ال Q بيساوي واحد دلوقت شغل لذا
+
+152
+00:11:08,970 --> 00:11:12,630
+بيقول لي الجهد بيساوي الشغل اللي لازم عشان أنقر شو
+
+153
+00:11:12,630 --> 00:11:16,570
+احنا مقدرنا جديش واحد من نقطة I لنقطة F هاي
+
+154
+00:11:16,570 --> 00:11:20,570
+التعريف تمام مش مهم التعريف ليه عشان أحفظه تمام بس
+
+155
+00:11:20,570 --> 00:11:24,110
+عشان نعرف أين نجيبه بيقول since it is only the
+
+156
+00:11:24,110 --> 00:11:27,710
+change in potential أنا انبهرني delta u مش ال U
+
+157
+00:11:27,710 --> 00:11:31,170
+between two points that has physical sense لها
+
+158
+00:11:31,170 --> 00:11:34,650
+معنى فيزيائي it is often convenient to choose a
+
+159
+00:11:34,650 --> 00:11:38,030
+reference point for zero potential زي ال level تبع
+
+160
+00:11:38,030 --> 00:11:40,310
+ال gravity طبعًا ال level تبع ال spring كنا دائمًا
+
+161
+00:11:40,310 --> 00:11:43,890
+نحطه لكل preamposition صح ولا لأ؟ إذا وين في U
+
+162
+00:11:43,890 --> 00:11:47,940
+دائمًا عندك level تبع ال zero و تبعته تمام؟ بالنسبة
+
+163
+00:11:47,940 --> 00:11:50,360
+للـ gravity كان 100 ألف level أختار level مرة على
+
+164
+00:11:50,360 --> 00:11:52,560
+الطوارق ومرة على الأرض ومرة على السجف إذا كنتم 
+
+165
+00:11:52,560 --> 00:11:55,800
+ذاكرين في أحد الأسئلة أما بالظن بالك ما قلناش نختار
+
+166
+00:11:55,800 --> 00:11:58,420
+وين دائمًا ال level تبعنا؟ على ال equilibrium لأنّه
+
+167
+00:11:58,420 --> 00:12:01,920
+هناك جديش يوتو بعدها zero هنا بيقول لي دائمًا اختر
+
+168
+00:12:01,920 --> 00:12:05,800
+zero this reference point is usually chosen to be
+
+169
+00:12:05,800 --> 00:12:08,300
+at infinity ده بيريح عليك هدي المقطع هدي الملمي
+
+170
+00:12:08,300 --> 00:12:11,890
+هيها هجي الشباب هايش أحنامجالها عند المنة النهائية
+
+171
+00:12:11,890 --> 00:12:15,410
+هكذا؟ إذا إن جهودها 0 إذا عند المنة النهائية مالها
+
+172
+00:12:15,410 --> 00:12:17,650
+جهود؟ قال لي خذ النقطة اللي بالك بعتك عند المنة
+
+173
+00:12:17,650 --> 00:12:20,650
+النهائية بيقول لي is usually chosen to be at
+
+174
+00:12:20,650 --> 00:12:23,830
+infinity يعني V عند المنة النهائية هكذا؟ Zero إذا
+
+175
+00:12:23,830 --> 00:12:27,330
+بتصير letting the point I ال
+
+201
+00:14:10,640 --> 00:14:12,740
+difference between that point and a point at
+
+202
+00:14:12,740 --> 00:14:16,300
+infinity إذا لما يقولي أوجد الجهد عند نقطة وكأنه 
+
+203
+00:14:16,300 --> 00:14:18,820
+بيقولي أوجد فرق الجهد بين النقطة هذه ونقطة  الما 
+204
+00:14:18,820 --> 00:14:21,140
+نهاية لما يقولي عند نقطة معناته النقطة الأولى
+
+205
+00:14:21,140 --> 00:14:23,880
+الثانية وراحت في  الما نهاية عطوه by default لما
+
+206
+00:14:23,880 --> 00:14:27,420
+يقول عن نقطة ال initial point  للما نهاية أما لما
+
+207
+00:14:27,420 --> 00:14:30,060
+يقول ال initial point  و final point بيكون أداني كل 
+
+208
+00:14:30,060 --> 00:14:35,900
+المعطيات تمام؟ بيقول from the above definition we
+
+209
+00:14:35,900 --> 00:14:40,640
+conclude that the electric potential is a scalar
+
+210
+00:14:40,640 --> 00:14:44,980
+quantity هاي أول ميزة وميزة كبيرة تمام؟
+
+211
+00:14:46,290 --> 00:14:50,330
+the SI unit of V is Joule Per Coulomb هي Joule Per
+
+212
+00:14:50,330 --> 00:14:54,350
+Coulomb usually represented by a special unit
+
+213
+00:14:54,350 --> 00:14:58,850
+called volt كلكم عارفينها يعني واحد volt بيساوي
+
+214
+00:14:58,850 --> 00:15:01,470
+واحد Joule على كلهم ولا لأ؟ في مشكلة؟ ال volt هي
+
+215
+00:15:01,470 --> 00:15:04,590
+نفس Joule على كلهم لكن عشان مشهورة طوها وحدتها
+
+216
+00:15:04,590 --> 00:15:09,710
+الخاصة بها it followed that حلو فجيت أنا في عندي 
+
+217
+00:15:09,710 --> 00:15:15,050
+شغلة قال لي V بتسوي E و هنا DLصح هاجتها دى مشهورة
+
+218
+00:15:15,050 --> 00:15:18,150
+كتير كتير صارت أشهر منها دى هدى إيش واحدة أنت
+
+219
+00:15:18,150 --> 00:15:22,750
+بتعرفوها أنتو ال newton هاكلوه جيلي فلتك من ال
+
+220
+00:15:22,750 --> 00:15:26,730
+newton في واحدة أحلى منها مش هدى volt بقدر أقول
+
+221
+00:15:26,730 --> 00:15:31,330
+إيه بيساوي volt على متر مش ورط على متر، إذا ورط على 
+
+222
+00:15:31,330 --> 00:15:36,110
+متر، فصار في الـ E لها وحدتين، أما نيوتن ع كلهم أو
+
+223
+00:15:36,110 --> 00:15:39,610
+ورط على متر، it follows that the electric field
+
+224
+00:15:39,610 --> 00:15:43,230
+has a unit of volt per meter، ورط على متر، with
+
+225
+00:15:43,230 --> 00:15:47,640
+واحد نيوتن ع كلهم أو واحد ورط على متر كل واحد أنا
+
+226
+00:15:47,640 --> 00:15:50,100
+قلت لكم في المجال الكهربائي هيكون له كمان واحدة
+
+227
+00:15:50,100 --> 00:15:54,580
+هتيجينا لاحقا فكثير بيستخدموا واحدة المجال شوف صار
+
+228
+00:15:54,580 --> 00:15:58,940
+يوصفوه أو يلحقوه بال volt من كتر ما صار ال volt
+
+229
+00:15:58,940 --> 00:16:03,440
+أشهر من المجال الكهربائي فصار واحدة المجال جاية من
+
+230
+00:16:03,440 --> 00:16:07,380
+الجهود جاية من الجهود volt على متر من هنا هذه متر
+
+231
+00:16:07,380 --> 00:16:10,480
+وهذه volt إذا إيه بيسوي volt على متر تطلع واحدة 
+
+232
+00:16:10,480 --> 00:16:16,250
+المجال الكهربائي حلو نبدأ بمثال بسيط جدا تقول يا
+
+233
+00:16:16,250 --> 00:16:19,410
+أبو ريتون البروتون جسم مشهور ولا مشهور شحناته
+
+234
+00:16:19,410 --> 00:16:22,390
+بتعرفوها موجبة ولا سالبة موجبة ومقدرها واحد point
+
+235
+00:16:22,390 --> 00:16:25,470
+sixteen to power minus nineteen معروفة is released
+
+236
+00:16:25,470 --> 00:16:30,950
+from rest in a uniform electric field فلقته من
+
+237
+00:16:30,950 --> 00:16:35,510
+السكون فلقته بيبقى ساكت هو موجود في مجال صح ولا لأ
+
+238
+00:16:35,510 --> 00:16:39,130
+مازال موجود في مجال بتتحرك بتتحرك مع المجال ولا ضد 
+
+239
+00:16:39,130 --> 00:16:45,270
+المجال عشان هو بروتون براو عليكم تمام الـElectric
+
+240
+00:16:45,270 --> 00:16:46,830
+Field هي الـMagnitude تبعه، شوفوا إيش واحدة
+
+241
+00:16:46,830 --> 00:16:50,870
+تدانيها على طول،  بولت على متر، الواحدة الجديدة، طب
+
+242
+00:16:50,870 --> 00:16:53,890
+لو واحد جالي نيوتن على كل واحد، بقوله صح، بس عشان 
+
+243
+00:16:53,890 --> 00:16:57,150
+يعودك على أنه في عندي واحدة جديدة الآن The proton
+
+244
+00:16:57,150 --> 00:17:00,090
+undergoes a displacement of 0.5 متر، اتحرك
+
+245
+00:17:00,090 --> 00:17:04,230
+البروتون، مسافة نص متر، in the direction of E، أه، 
+
+246
+00:17:04,230 --> 00:17:06,790
+بيتحرك في ال direction تبع E، قطع، تمام، مافيش 
+
+247
+00:17:06,790 --> 00:17:12,430
+مشكلة عندي، ده أنه positive، تمام؟ هذه المجال وهذه 
+
+248
+00:17:12,430 --> 00:17:16,890
+في المنطقة طبعا uniform و بديو يجي اتجاه وهيك إذا
+
+249
+00:17:16,890 --> 00:17:20,430
+إن البوزر تبلى negative كلكم عارفينها هاي البروتون
+
+250
+00:17:20,430 --> 00:17:23,530
+هجيت أنا بدي أفلط البروتون أنا ماعرف كوه هالجيت 
+
+251
+00:17:23,530 --> 00:17:28,210
+بدي أفلط وإيش مصير فيه؟ بيظهر واجف؟ بيظهر يتحرك
+
+252
+00:17:28,210 --> 00:17:35,470
+اتحرك والله تمام؟ حركنا؟ بديش اتحرك نص متر جالي يا
+
+253
+00:17:35,470 --> 00:17:40,420
+سيدي بين نص متر فهي نص متر تمام سبب؟ لو negative
+
+254
+00:17:40,420 --> 00:17:43,800
+أفلته عند الحمرة، بتحرك؟ لأ، بيبقى اللي ملزق في 
+
+255
+00:17:43,800 --> 00:17:46,920
+الحمرة عشان اتحرك بيحطه عند الزرقة صح ولا لأ؟ لو
+
+256
+00:17:46,920 --> 00:17:51,140
+كان electron عشان يتحرك تمام؟ إيش بده هذا؟ هاي 
+
+257
+00:17:51,140 --> 00:17:53,960
+مجال الخطوط الخضراء هذه المنقطة، إيش بده؟ بيقولي
+
+258
+00:17:53,960 --> 00:18:00,040
+find فرق جهد ما بين Vb وVa، في فرق جهد find ΔU؟
+
+259
+00:18:00,350 --> 00:18:03,550
+عشان ما تنساش أن دلتا D جاي من دلتا U find the
+
+260
+00:18:03,550 --> 00:18:06,250
+speed of the proton at point P بش هو كان في الأول
+
+261
+00:18:06,250 --> 00:18:10,450
+ساكن هنا شباب فلقته مش هنا لمّا وصل هان في رسولة
+
+262
+00:18:10,450 --> 00:18:17,710
+عجيب ليها واضحش بدي أجيبه؟ نشوف بيقول لي delta V
+
+263
+00:18:17,710 --> 00:18:21,810
+فرق الجهد من initial و final ال initial إيه ولا مش
+
+264
+00:18:21,810 --> 00:18:25,550
+إيه؟ وال final؟ إذا مدر ما قول initial و final هو 
+
+265
+00:18:25,550 --> 00:18:30,580
+قال لي a و b قلت a و bV فانيال نقص V initial فانيال
+
+266
+00:18:30,580 --> 00:18:33,700
+نقص initial بصوت سالب هذا التعريف التكامل من 
+
+267
+00:18:33,700 --> 00:18:38,660
+initial ل final E dot dl صحيح يا شباب؟ E جلي
+
+268
+00:18:38,660 --> 00:18:43,700
+uniform ولا ماجليش؟ مش جلي uniform تطلع برا طيب 
+
+269
+00:18:43,700 --> 00:18:47,240
+هتشوفين أنتو كيف تتحرك ال proton؟ ال displacement
+
+270
+00:18:47,240 --> 00:18:54,760
+كيف تجاهها طب وال E الانتظار تبقى واحدة إذا دكتور
+
+271
+00:18:54,760 --> 00:18:58,380
+بوداك روحت وإيه قال uniform مُعطَى بتطلع عبارة عن
+
+272
+00:18:58,380 --> 00:19:05,460
+التكامل إيش تكامل ال DMT الهيموسميتر الهيموسميتر
+
+273
+00:19:05,460 --> 00:19:11,460
+إذا قال لي since E and DL are parallel مظبوط ولا
+
+274
+00:19:11,460 --> 00:19:18,150
+لا يا شباب فرد هيك راحت الدكتور بودكتر since E is
+
+275
+00:19:18,150 --> 00:19:23,290
+uniform ارجع ولأ سطنته بشوف الدكتور بودكتر ميتضرر 
+
+276
+00:19:23,290 --> 00:19:29,390
+الله احنا مظبوط ولا لأ الآن E since E is uniform
+
+277
+00:19:29,390 --> 00:19:33,530
+تعريف هذا هو حكاية ليه مقطع it can be taken out
+
+278
+00:19:33,530 --> 00:19:38,680
+from the integral signE D هي المسافة النصف متر
+
+279
+00:19:38,680 --> 00:19:43,860
+اللي حكى عنها زمانكم تمام E أعطاني قيمتها و D قداش 
+
+280
+00:19:43,860 --> 00:19:54,360
+نصف متر طالعش جوا بالسالب طيب هدى قولنا V P نقص V 
+
+281
+00:19:54,360 --> 00:20:03,240
+A ولا لأ فالجواب موجب ولا سالب إيه أكبر إيه أكبر 
+
+282
+00:20:03,240 --> 00:20:10,100
+طب نرجع نرجع نرجع ليش a أكبر للموجة بقى و b سالبة؟
+
+283
+00:20:10,100 --> 00:20:16,080
+منطق إيه؟ منطق تكون جهود a أكبر من جهود b طبعا
+
+284
+00:20:16,080 --> 00:20:21,160
+طلعت معايا سالبة بيقولوا from the minus sign we
+
+285
+00:20:21,160 --> 00:20:26,960
+conclude that va أكبر من vb بيقول لي P إيش بده؟ بده
+
+286
+00:20:26,960 --> 00:20:30,280
+Delta U بدي U P نقص U U طب أنا عندي قرون بيقول 
+
+287
+00:20:30,280 --> 00:20:34,620
+Delta V بيسوي Delta U على Q مش هي كان عرفت؟ إذا
+
+288
+00:20:34,620 --> 00:20:41,200
+Delta V بيسوي Q في Delta V طب و Q مشهور براتون؟ 1.6
+
+289
+00:20:41,200 --> 00:20:46,820
+فعشرة والثالثة و Delta V مضوعتها طلعتها ده فهي
+
+290
+00:20:46,820 --> 00:20:52,620
+Delta U ماجيبش إشي في مشكلة الشباب حلو الآن بده
+
+291
+00:20:52,620 --> 00:20:56,940
+السرعة النهائية السرعة النهائية معروفة السرعة
+
+292
+00:20:56,940 --> 00:21:01,100
+النهائية بدّوا إياها والمسافة معروفة لو عرفت الـ
+
+293
+00:21:01,100 --> 00:21:04,320
+acceleration حلت السؤال صح؟ طب ال acceleration
+
+294
+00:21:04,320 --> 00:21:06,360
+بدّي force ماجدر أجيب ال force وماجدر أجيب الـ
+
+295
+00:21:06,360 --> 00:21:09,320
+acceleration ولا لأ كل شي ماجدر أجيبه بس بقى بقول لك 
+
+296
+00:21:09,320 --> 00:21:13,300
+طب أنت لو مافيش عندك acceleration زمان كان في عندك
+
+297
+00:21:13,300 --> 00:21:19,840
+قانون بيقول delta K زائد delta U بتساوي صفر؟ فجت 
+
+298
+00:21:19,840 --> 00:21:21,400
+هادي مش هيدا
+
+299
+00:21:30,420 --> 00:21:36,200
+حلت السؤال بدل ما تجيب acceleration وتغلب حالك C
+
+300
+00:21:36,200 --> 00:21:40,620
+يقول دلتا K زي دلتا U بالساعة صفر نسيته؟ ليه؟ أنا
+
+301
+00:21:40,620 --> 00:21:45,620
+بقول أنك دلتا U أنت فاشت في نص الحالة خلصته بقول لك
+
+302
+00:21:45,620 --> 00:21:50,140
+مثلا دي تربيع ناقص K initial لإن released from
+
+303
+00:21:50,140 --> 00:21:57,400
+rest زائد هذه من وين شحتها؟ طيب، موجودة، جاهزة،
+
+304
+00:21:57,400 --> 00:22:07,180
+طلعت فيه، طلعت فيه، في مشكلة يا شباب؟ مافيش مشكلة،
+
+305
+00:22:07,180 --> 00:22:09,680
+إذا هادي عملناها، طلعوا إيش جواب هنا، Electric
+
+306
+00:22:09,680 --> 00:22:13,720
+potential due to pointed charges، أنت قاعد بتشفط
+
+307
+00:22:13,720 --> 00:22:18,020
+من المجال الكهربائي عشان إنه vector، جيبت قانون
+
+308
+00:22:18,020 --> 00:22:22,690
+أجيب مجال ل pointed charge، ذاكرينه؟ اللي هو E
+
+309
+00:22:22,690 --> 00:22:27,010
+بتساوي KQ على R تربيع ومنها جيبت له ال disk وللـ
+
+310
+00:22:27,010 --> 00:22:31,730
+ring وللـ رد بظبط ولا لأ وكانت مشكلتها أن هو ده
+
+311
+00:22:31,730 --> 00:22:34,370
+vector وقبل ما اتكامل أنت بيه قالت لي طب أنت 
+
+312
+00:22:34,370 --> 00:22:36,390
+هجيتني مش هردني من ال electric field للجهد
+
+313
+00:22:36,390 --> 00:22:39,730
+الكهربائي وشبكت لي الجهد بال energy طب أنا متخلصت 
+
+314
+00:22:39,730 --> 00:22:44,090
+من ال physics يعني دي باللي شغل أحلى للجهد زي ما 
+
+315
+00:22:44,090 --> 00:22:48,510
+اجرت أجيب المجال ل pointed charge علمني كيف أجيب
+
+316
+00:22:48,510 --> 00:22:52,160
+الجهد ل pointed charge الآن مش أنت حاجات بتقول هاي
+
+317
+00:22:52,160 --> 00:22:55,560
+عندك شحنة إذا هنا في مجال حاجات المجالة بتبقى مش
+
+318
+00:22:55,560 --> 00:22:58,860
+عاجبك بدك تجيب جهد طب جديش الجهد اللي قال؟ بدي
+
+319
+00:22:58,860 --> 00:23:02,160
+أشتغل قانون أنا وياكم أجيب الجهد ل pointed charge
+
+320
+00:23:02,160 --> 00:23:04,560
+ولا إيه اللي دعوه ال potential energy ولا إيه اللي
+
+321
+00:23:04,560 --> 00:23:08,160
+دعوه في ال work بديش ال work أصلا بيقول لي electric
+
+322
+00:23:08,160 --> 00:23:11,800
+potential due to pointed charges pointed charges
+
+323
+00:23:11,800 --> 00:23:15,460
+يقول يللا نحسب من القوانين اللي اتعلمناها عشان
+
+324
+00:23:15,460 --> 00:23:18,520
+أجيب قانون اشتغل عليكم جدي الصراحة العملية كتير
+
+325
+00:23:18,520 --> 00:23:22,210
+سهلة بقول consider an isolated point of charge، خد 
+
+326
+00:23:22,210 --> 00:23:25,970
+يجيب point of charge وحيدة، الـQ، we want to find
+
+327
+00:23:25,970 --> 00:23:28,170
+the electric potential due to this charge at
+
+328
+00:23:28,170 --> 00:23:32,890
+point، we have، هايش احنا شباب، هاد الـQ، الآن،
+
+329
+00:23:32,890 --> 00:23:36,450
+بقول حوالها في مجال، يعني حوالها في جهود، صح ولا 
+
+330
+00:23:36,450 --> 00:23:41,900
+لا، بدي الجهود عند نقطة هو إيش القانون اللي اتعلمته
+
+331
+00:23:41,900 --> 00:23:48,120
+بيقول فرق الجهد بين نقطتين VP-VA بيسوي سالب التكامل 
+
+332
+00:23:48,120 --> 00:23:51,140
+initial و final final نقص initial high initial
+
+333
+00:23:51,140 --> 00:23:54,940
+high final E dot DL طب هي ال Q طب جيب لي نقطتين
+
+334
+00:23:54,940 --> 00:23:58,240
+initial و final جاليها high initial و high final 
+
+335
+00:23:58,240 --> 00:24:04,690
+بيقول عشان تشتغلها بدك تجيب E dot DL إذا ذكرين أنت
+
+336
+00:24:04,690 --> 00:24:08,950
+الشغل كنا نقول دي إيه الجزء من الإزاحة هجيب لو
+
+337
+00:24:08,950 --> 00:24:12,870
+بدأتنا نقول شحنة من A ل B فيه إزاحة ولا مافيه إزاحة
+
+338
+00:24:12,870 --> 00:24:17,470
+طب كيف شكل الإزاحة؟ يقولوا لك مائة طريق فيه طب 
+
+339
+00:24:17,470 --> 00:24:21,370
+هتنسوس ال conservative force الطريق بتأثر عليكم
+
+340
+00:24:21,370 --> 00:24:25,610
+نتيجة؟ لأ يعني لو أنا مشيت أدل صح طب لو ماشيت هيك 
+
+341
+00:24:25,610 --> 00:24:29,270
+غلط؟ إذا بدي أشتغل على طريقة عشوائية أنا الآن أي
+
+342
+00:24:29,270 --> 00:24:33,390
+طريقة بتاخدها طريقة عشوائية جالي هذه أخليها RA
+
+343
+00:24:33,390 --> 00:24:37,090
+وهذه RB هذه الطريقة اللي بدي أمشي فيها أنا عشوائية
+
+344
+00:24:37,090 --> 00:24:41,370
+بديش أمشي عدل عشان ما حد يقول لك اختار العدل لأ أنا 
+
+345
+00:24:41,370 --> 00:24:43,890
+بفكر بدي أمشي طبعا أي طريقة بختارها المفروض يكون 
+
+346
+00:24:43,890 --> 00:24:47,130
+صح لأن التكامل لا يعتمد على المسار إذا كنتوا 
+
+347
+00:24:47,130 --> 00:24:51,150
+ذاكرينه طيب أنا هجيت بدي أمشي من A ل B هذه معنات
+
+348
+00:24:51,150 --> 00:24:56,260
+من A ل B من Initial to Final هذه معنات التكامل طيب 
+
+349
+00:24:56,260 --> 00:24:59,200
+أنا ماشي من إيه؟ لأ طب طول ما أنا ماشي في مجاله 
+
+350
+00:24:59,200 --> 00:25:02,880
+ولا فيش مجاله؟ فيه لإن كل هذه المبتقى مش حوالي الـ
+
+351
+00:25:02,880 --> 00:25:06,360
+Q فيه هنا مجال فيه؟ فيه هنا مجال فيه؟ فيه هنا مجال
+
+352
+00:25:06,360 --> 00:25:10,960
+فيه؟ طيب الشيء هذه جزء من الإزاحة خد جزء من هذا
+
+353
+00:25:10,960 --> 00:25:16,740
+الخط الملقط هاي دي إيه؟ the electric field is due
+
+354
+00:25:16,740 --> 00:25:20,220
+to the charge Q at a distance R يجيب إيه؟ يجيب
+
+355
+00:25:20,220 --> 00:25:26,070
+عنصر عند هذه النقطة بالظبط هذه R وهذه E وهذه DL هذه
+
+356
+00:25:26,070 --> 00:25:31,150
+DL بس أنا طولتها هي يصغير وبتكون مماثلها تمام؟ هذه
+
+357
+00:25:31,150 --> 00:25:35,490
+DL طب بدك E عند النقطة هذه E الآن مازال أنت خد DL
+
+358
+00:25:35,490 --> 00:25:38,890
+بده E هنا إيه تقدر تجيبها هنا بقول له اه بتساوي 
+
+359
+00:25:38,890 --> 00:25:44,290
+cake U على R تربيع ولا لأ cake U على R تربيع هي
+
+360
+00:25:44,290 --> 00:25:48,070
+إيه؟ عندي العنصر اللي أخدته هو جيبت DL وبعدين
+
+361
+00:25:48,070 --> 00:25:50,530
+عندي DL قولت فيه إيه؟ قولت له فيه إيه؟ قولي أحسبها
+
+362
+00:25:50,530 --> 00:25:54,490
+قال لي يا جديش بيبعد؟ قول لي أعتبرها R قول لي ر ر إذا
+
+363
+00:25:54,490 --> 00:25:58,150
+KQ على R تربيع جيبت إيه؟ أنا بشتغلهم جاعد الشباب 
+
+364
+00:25:58,150 --> 00:26:00,750
+بعد كده القانون بدنا ياه ونحفظه ونتطبق عليه 
+
+365
+00:26:00,750 --> 00:26:05,030
+قال لي حلو اشتغل؟ قال لي اشتغلت هاي إيه؟ صحيك
+
+366
+00:26:05,030 --> 00:26:10,930
+اتجاهها؟ لإن positive تمام؟ وقال دي ال موجودة عوض
+
+367
+00:26:10,930 --> 00:26:16,090
+واتعملش الشيء كي وكي ثابت طلعناه برا تكامل I unit
+
+368
+00:26:16,090 --> 00:26:21,350
+vector ضد دي ال هدا هي على R تربيع اشتغل هالتكامل 
+
+369
+00:26:21,350 --> 00:26:25,930
+قال جابل ما اشتغل خليني أحق راسي وأودي حالي لشبتر
+
+370
+00:26:25,930 --> 00:26:30,070
+واحد في في
+
+401
+00:29:28,070 --> 00:29:31,670
+Coordinates بدي أستخدم الـPolar Coordinates الـR و
+
+402
+00:29:31,670 --> 00:29:36,730
+الفيتا طيب بقوله إيه هي أنت عندك حاجة زي هيك بدك 
+
+403
+00:29:36,730 --> 00:29:40,950
+تحولها واحدة هيك و واحدة هيك حاجة واحدة هتكون مماس
+
+404
+00:29:40,950 --> 00:29:46,950
+و التانية نصف قطرة هذه المماس دي الـθ و هذه
+
+405
+00:29:46,950 --> 00:29:53,570
+الـR هذه dR أنا كتبت هنا dLx ولا dx على طموح dx
+
+406
+00:29:53,570 --> 00:30:00,390
+هذه خليها dR dR إيش التغير في نصف القطر هي معناتها
+
+407
+00:30:00,390 --> 00:30:05,230
+زي dx التغير في المحور السيني فهذه dR شباب جالي زي
+
+408
+00:30:05,230 --> 00:30:11,190
+هيك انحل جوابك صارت dR على R تربيع تعرفي تكلم
+
+409
+00:30:11,190 --> 00:30:15,130
+الـdR على R تربيع ولا تعرفوش dx على x ناقص واحد
+
+410
+00:30:15,130 --> 00:30:21,180
+على x ولا لا إذا هذه صارت هيك تكامل dR على R تردية
+
+411
+00:30:21,180 --> 00:30:26,860
+بيسوي ناقص مع النقص اللي هان راحة واحدة على R من
+
+412
+00:30:26,860 --> 00:30:33,620
+r<sub>A</sub> ل r<sub>B</sub> من A ل B من r<sub>A</sub> ل r<sub>B</sub> بتسوي KQ على r<sub>B</sub> نقص KQ
+
+413
+00:30:33,620 --> 00:30:37,720
+على r<sub>A</sub> هذه جيبت أنا الآن فرق جهد بين النقطتين طب
+
+414
+00:30:37,720 --> 00:30:40,160
+أنا مابديش بين النقطتين مابدي عن نقطة جيلي النقطة A
+
+415
+00:30:40,160 --> 00:30:44,080
+وقالليها لان مانا نهاية مش هيك من عمال النقطة A
+
+416
+00:30:44,080 --> 00:30:51,700
+هذه صارت مانا نهاية مابديش الجواب زي هي طلع عندها
+
+417
+00:30:51,700 --> 00:30:55,880
+قانون حلو بيقول the first term of the right hand
+
+418
+00:30:55,880 --> 00:31:00,300
+side represent the potential at point b and the
+
+419
+00:31:00,300 --> 00:31:03,180
+second term represent the potential at point v<sub>A</sub>
+
+420
+00:31:03,180 --> 00:31:07,220
+the electric potential at a point a distance r
+
+421
+00:31:07,220 --> 00:31:10,780
+from a point in charge q is then obtained if r<sub>A</sub>
+
+422
+00:31:10,780 --> 00:31:15,430
+رحت للمال نهاية that is هذا القانون يعني اللي بدي
+
+423
+00:31:15,430 --> 00:31:18,030
+أهو و هذا اللي بده أعفزه يقول و أنا ما أعرفش اللي
+
+424
+00:31:18,030 --> 00:31:23,670
+بيفرج عن الـ ايه هذا KQ على R تربيع هذا KQ على A طب
+
+425
+00:31:23,670 --> 00:31:26,430
+هذا القانون أحلى أو أنا ما أعرفش اللي بيه R تربيع و
+
+426
+00:31:26,430 --> 00:31:31,870
+بعدين أحلى بكثير أن هذا scalar فيها بدي أحلل؟ بديش
+
+427
+00:31:31,870 --> 00:31:35,740
+أحلل بقدر أحط absolute value لها؟ لأ لأنه أنت جيه
+
+428
+00:31:35,740 --> 00:31:40,500
+magnitude تتعاملش مع vector إذا هذه Q كلها بدمها
+
+429
+00:31:40,500 --> 00:31:44,220
+بلحمها بشحمها دالها هذا القانون بيجيه بالجهود هاي
+
+430
+00:31:44,220 --> 00:31:47,940
+بتحفظها مش بيه قانون ايه بتساوي KQ علاء التنبيع
+
+431
+00:31:47,940 --> 00:31:52,240
+ولا لأ إذا عملية سهلة طيب بقول ها دي جيبت هلا شحنة
+
+432
+00:31:52,240 --> 00:31:57,340
+كده لو عندي شحنتين بقول V<sub>1</sub> و V<sub>2</sub> وبعدين أجمع بس هنا
+
+433
+00:31:57,340 --> 00:32:02,990
+في عندك ميزة بيجمع جميع scalars تمام؟ as it is
+
+434
+00:32:02,990 --> 00:32:05,870
+clear from the above equation V is positive for
+
+435
+00:32:05,870 --> 00:32:08,710
+positive Q and negative for negative Q يعني بيقول
+
+436
+00:32:08,710 --> 00:32:12,250
+الـ Q ها دي خدها بدمها و بلحمها إذا كانت positive
+
+437
+00:32:12,250 --> 00:32:14,830
+خدها positive negative خدها negative إذا positive
+
+438
+00:32:14,830 --> 00:32:17,970
+بتكون جهدها موجب و إذا negative بتكون جهدها سالب
+
+439
+00:32:17,970 --> 00:32:21,890
+ما هيكش عزب النتيجة اللي بتطلع معاك أنا القانون
+
+440
+00:32:21,890 --> 00:32:25,400
+الحلو اللي طلعته الـ electric potential due to a
+
+441
+00:32:25,400 --> 00:32:33,580
+group of pointed charges الجبري
+
+442
+00:32:33,580 --> 00:32:39,800
+يعني خمسة و ناقص تلاتة و ناقص اتنين و واحد و صفر اجمع
+
+443
+00:32:39,800 --> 00:32:45,060
+الجبري الجبري الجبري الجبري
+
+444
+00:32:45,060 --> 00:32:48,380
+يعني خمسة و ناقص تلاتة و ناقص اتنين و واحد و صفر اجمع
+
+445
+00:32:48,380 --> 00:32:51,620
+الجبري الجبري الجبري الجبري  بعمل summation عادي طبعا
+
+446
+00:32:51,620 --> 00:32:57,280
+ال summation بنجمعها بتتكامل برضه بسهولة صفر إذا
+
+447
+00:32:57,280 --> 00:33:02,440
+تساوي صفر طب
+
+448
+00:33:02,440 --> 00:33:06,920
+و لمّا هو المقدار ممنوع يكون سالب تهاجد على خالتك
+
+449
+00:33:06,920 --> 00:33:12,020
+منها خليني أقول الكتلة بقاش أقول الكتلة الـ energy
+
+450
+00:33:14,000 --> 00:33:18,240
+حلو عمرك شوفت energy سالبة اجمع energy ناقص خمسة
+
+451
+00:33:18,240 --> 00:33:22,420
+جول و خمسة جول باهي
+
+452
+00:33:22,420 --> 00:33:27,320
+المسكينة أنت بتتعامل بتجمع جمع جبري الموضوع هو
+
+453
+00:33:27,320 --> 00:33:33,720
+الخمسة و ناقص خمسة من جمع جبري طبعا
+
+454
+00:33:33,720 --> 00:33:39,480
+هذه شغلة سهلة بقول don't forget that the sum is
+
+455
+00:33:39,480 --> 00:33:44,760
+an algebraic sum and not a vector sum مثل ذلك كان يستخدم
+
+456
+00:33:44,760 --> 00:33:47,820
+للتركيز على المنطقة الإلكترونية بسبب مجموعة من
+
+457
+00:33:47,820 --> 00:33:51,940
+التجارات الموجودة في المنطقة this fact gives an
+
+458
+00:33:51,940 --> 00:33:55,900
+important advantage of potential of an electric
+
+459
+00:33:55,900 --> 00:33:59,440
+field عشان كده الـ electric potential انشهر أكثر من
+
+460
+00:33:59,440 --> 00:34:02,640
+المجال الكهربائي هو اللي صار مشهور و هم اللي
+
+461
+00:34:02,640 --> 00:34:06,240
+بتعاملوا معه كل عمال و الكهربائية اللي في الدنيا
+
+462
+00:34:06,240 --> 00:34:08,960
+بتعاملوا معه جهود بتعاملوش معه مجال عمرك اش واحد
+
+463
+00:34:08,960 --> 00:34:12,740
+جالك المجال هنا عالي و المجال هنا واطي بيقولك
+
+464
+00:34:12,740 --> 00:34:15,020
+الجهود هنا عالي و الجهود هنا واطي كل العمال اللي
+
+465
+00:34:15,020 --> 00:34:17,460
+بتعرفين عليها جديش جهد اللي في ال breeze هنا شباب
+
+466
+00:34:18,380 --> 00:34:21,660
+ما كانوا عشان vote عمرك حد قال لك أد ايش المجال عمرك
+
+467
+00:34:21,660 --> 00:34:28,300
+سمعت ولا حد بده المجال تمام إذا المجال بطل في قيمة
+
+468
+00:34:28,300 --> 00:34:29,600
+له تمام
+
+469
+00:34:32,740 --> 00:34:36,060
+بنشوف مثلًا شباب بيقول لي two pointed charges شوف
+
+470
+00:34:36,060 --> 00:34:38,520
+الـ Q في اللي أنا مثلًا بصير ما أسهلها two pointed
+
+471
+00:34:38,520 --> 00:34:43,720
+charges of Q<sub>1</sub> equal two micro coulombs and Q<sub>2</sub>
+
+472
+00:34:43,720 --> 00:34:47,840
+equal minus six micro coulombs are arranged as
+
+473
+00:34:47,840 --> 00:34:52,240
+shown find هاي الشحنات كام شحنة فيه؟ اثنتين واحدة
+
+474
+00:34:52,240 --> 00:34:54,920
+حمرا واحدة زرقا يعني واحدة موجبة بواحدة سالبة بقى
+
+475
+00:34:55,130 --> 00:34:58,950
+الموجبة Q<sub>1</sub> equal 2 microcoulomb و Q<sub>2</sub> equal minus 6
+
+476
+00:34:58,950 --> 00:35:01,790
+microcoulomb الأبعاد تبعتي أو point four meter و
+
+477
+00:35:01,790 --> 00:35:04,770
+three meter و four meter و three meter وبالتالي في
+
+478
+00:35:04,770 --> 00:35:08,210
+فيثاغورس بيطلع لضلع التالت five meter ايش بدهوا؟ the
+
+479
+00:35:08,210 --> 00:35:10,470
+electric potential at point P بدهوا الجهد عند
+
+480
+00:35:10,470 --> 00:35:10,910
+نقطة P
+
+481
+00:35:15,160 --> 00:35:18,820
+the change in potential energy of the system plus
+
+482
+00:35:18,820 --> 00:35:22,360
+a charge Q<sub>3</sub> that moves from point infinity to
+
+483
+00:35:22,360 --> 00:35:26,960
+point P بيقول لو كان في عندك شحنة ثالثة وين موجودة
+
+484
+00:35:26,960 --> 00:35:29,420
+في الأول؟ في المال النهائية أهل الـ gate موجودة
+
+485
+00:35:29,420 --> 00:35:30,440
+في المال النهائية أهل الـ gate بالمال النهائية
+
+486
+00:35:30,440 --> 00:35:35,560
+تحطها عند النقطة B قد إيش تغيرت الـ energy تمام؟ نشوف
+
+487
+00:35:35,560 --> 00:35:39,060
+المكتوب الأول solution ما قاله فيش أسهل منها الجهود
+
+488
+00:35:39,060 --> 00:35:45,600
+الجهود سهل جدا بتقول V بتساوي V<sub>1</sub> زائد V<sub>2</sub> V
+
+489
+00:35:45,600 --> 00:35:49,720
+واحد kQ<sub>1</sub> على r<sub>1</sub> زائد kQ<sub>2</sub> على r<sub>2</sub>
+
+490
+00:35:49,720 --> 00:35:55,800
+اثنين بس سهل جدا لها عامة direction ولا تطلع على
+
+491
+00:35:55,800 --> 00:35:59,760
+الـ direction ولا بدك تحلل ولا بدك تغلب حالك شوفوا
+
+492
+00:35:59,760 --> 00:36:06,460
+صممعامية كQ<sub>1</sub> على r<sub>1</sub> زي كQ<sub>2</sub> على r<sub>2</sub> تظهر عندك أن كQ<sub>1</sub>
+
+493
+00:36:06,460 --> 00:36:08,780
+مش absolute values الموجبة بتحط الموجبة مش سالب
+
+494
+00:36:08,780 --> 00:36:16,000
+بتحطه سالب أو نقول كما نسيناهاش 9 × 10 بتنورناها okay
+
+495
+00:36:16,000 --> 00:36:21,500
+كQ<sub>1</sub> two macro column positive إذا باروان المسافة
+
+496
+00:36:21,500 --> 00:36:25,660
+بين بي و كQ<sub>1</sub> أربعة متر صح ولا لأ من وين جات الـ
+
+497
+00:36:25,660 --> 00:36:32,090
+minus هذه؟ من الـ 6 minus 6 طبعا حولتي الماكرو
+
+498
+00:36:32,090 --> 00:36:34,990
+كلهم بس طلعتها برا 10 to the power of minus 6 قد إيش
+
+499
+00:36:34,990 --> 00:36:39,830
+المسافة بين النقطة Q<sub>2</sub> و النقطة P 5 متر أو طلع
+
+500
+00:36:39,830 --> 00:36:42,990
+الـ ... ما يعني أنا اسمه minus 6.29 × 10 to the power
+
+501
+00:36:42,990 --> 00:36:46,870
+of 3 volt طلع الجواب صحيح عشان كده نادى لما
+
+502
+00:36:46,870 --> 00:36:48,930
+نقول لكم ما وجدوا الجهد في المتحنات لأنها بتاعة
+
+503
+00:36:48,930 --> 00:36:52,490
+ولادي صغار خلصنا منها ماشي عملتوها في المجارس
+
+504
+00:36:52,490 --> 00:36:56,730
+وزوجتوها منها تمام؟ يعني الناس على المجال الكهربائي
+
+505
+00:36:56,730 --> 00:36:59,410
+بنقول يلا هتشوفهم بيعرفوا يفرقوا ما بين جامعة
+
+506
+00:36:59,410 --> 00:37:01,670
+vectors و جامعة scalars ولا ... ولا هي لأ بنقول
+
+507
+00:37:01,670 --> 00:37:03,730
+احنا لو بنجيب سؤال زي هذا ... بنقول احنا بنعلم
+
+508
+00:37:03,730 --> 00:37:06,510
+أولاد في الروضة نعلمهم كيف يجمعوا و كيف يطرحوا ...
+
+509
+00:37:06,510 --> 00:37:11,110
+تعابب عليهم والله يعني ... يكونوا عارفين حاجتنا ...
+
+510
+00:37:11,110 --> 00:37:14,210
+مضمونش نعلمهم حاجتكم يعني ... نجيب سؤال زي هذا ...
+
+511
+00:37:14,210 --> 00:37:20,280
+جامعة ... اللي احنا بنرضاش ... احنا بنرضاش ... بنشوف
+
+512
+00:37:20,280 --> 00:37:22,580
+المقبض الثاني بيقولي the change in potential
+
+513
+00:37:22,580 --> 00:37:26,100
+energy PE عن potential energy is equal to the work
+
+514
+00:37:26,100 --> 00:37:30,500
+required بيقولي أنت بدك ΔU يعني ΔU ثم
+
+515
+00:37:30,500 --> 00:37:35,160
+ΔU هي مش سوى الشغل صح ولا لأ is equal to the
+
+516
+00:37:35,160 --> 00:37:38,380
+work required by an external agent to bring Q<sub>3</sub>
+
+517
+00:37:38,380 --> 00:37:42,440
+from infinity to point B بيقولي أنت بدك تحرك Q<sub>3</sub> من
+
+518
+00:37:42,440 --> 00:37:49,560
+النهاية للنقطة B طب إيش هسوي؟ أنت ولد الجهد عنده
+
+519
+00:37:49,560 --> 00:37:53,860
+النقطة B إيش عرفته؟ قولت هو الشغل اللازم عشان أنقل
+
+520
+00:37:53,860 --> 00:37:58,180
+وحدة الشحنات الموجبة من المال نهاية لتلك النقطة
+
+521
+00:37:58,180 --> 00:38:03,400
+ساكرين؟ الجهد عند نقطة B هو الشغل اللازم عشان أنقل
+
+522
+00:38:03,400 --> 00:38:06,920
+وحدة الشحنات الموجبة من المال نهاية لتلك النقطة
+
+523
+00:38:06,920 --> 00:38:14,270
+سؤال الآن الجهد عنده النقطة B طلعته أنا وياكم هذا
+
+524
+00:38:14,270 --> 00:38:17,050
+... انسوا هذا الرقم اعتبروه خمسة volts ... هذا
+
+525
+00:38:17,050 --> 00:38:21,610
+اعتبره خمسة volts بقولك احسب الشغل اللازم عشان
+
+526
+00:38:21,610 --> 00:38:24,910
+أنقل شحنة موجبة بقى ... من المال ... شحنة موجبة بقى
+
+527
+00:38:24,910 --> 00:38:28,270
+مقدارها واحد ... من المال نهاية للنقطة B ... قد ايش
+
+528
+00:38:28,270 --> 00:38:31,990
+الشغل؟ خمسة volts ... خمسة volts ... خمسة جول بس
+
+529
+00:38:31,990 --> 00:38:38,920
+بيصير ... خمسة جول ... لأنه الشغل بيساوي جهد عشان
+
+530
+00:38:38,920 --> 00:38:43,540
+أنقل شحنة مقدارها واحد ببذل خمسة جهود، طب لو بدي
+
+531
+00:38:43,540 --> 00:38:48,180
+أنقل شحنة مقدارها اثنين، ايه كم؟ عشرة، طب لو بدي
+
+532
+00:38:48,180 --> 00:38:52,180
+أنقل تلاتة، خمسة عشر، إذا إذا عرفت أنا الجهد
+
+533
+00:38:52,180 --> 00:38:55,780
+و الشحنة المنقولة بيساويش واحد، إذا الشغل بيساوي
+
+534
+00:38:55,780 --> 00:38:59,180
+الشحنة المنقولة في الجهد و خلاص، صح ولا لأ؟ أنت
+
+535
+00:38:59,180 --> 00:39:03,340
+انتهت القضية، بيقولي that change، إذا ΔU
+
+536
+00:39:03,340 --> 00:39:06,600
+بيساوي الشغل بيساوي Q<sub>3</sub> في النقطة الـ Q ثلاثة، لو
+
+537
+00:39:06,600 --> 00:39:08,860
+هي الـ Q ثلاثة هي نفسها، ولا لا؟ لو الـ Q ثلاثة
+
+538
+00:39:08,860 --> 00:39:14,280
+بيساوي واحد، هذه التعريف الشغل بيساوي الجهد، تمام؟
+
+539
+00:39:14,280 --> 00:39:17,800
+الشغل بيساوي الجهد، لكن لو إنها ... إذا ... إذا متى
+
+540
+00:39:17,800 --> 00:39:20,380
+... الشغل بيساوي الشغل ... الجهد، إذا كانت الـ Q
+
+541
+00:39:20,380 --> 00:39:24,340
+بيساوي واحد، بيساويش واحد، ضربها، بيقول إنه بيساوي
+
+542
+00:39:24,340 --> 00:39:27,280
+اللي بدك تنقلها مقدارها ثلاثة في عشرة أو سالب ستة
+
+543
+00:39:27,280 --> 00:39:34,360
+الشغل ... الجهد أنت جبته، طلعت الجواب، تم؟ خلاص؟
+
+544
+00:39:34,360 --> 00:39:38,640
+بس، خلاص طبعا في حالة ثانية لها ايش الحالة الثانية
+
+545
+00:39:38,640 --> 00:39:48,180
+الصعبة أو قوية مش صعبة يعني هو بيحكي لي شباب بيقول لي
+
+546
+00:39:48,180 --> 00:39:51,280
+the charge that change in potential energy of the
+
+547
+00:39:51,280 --> 00:39:54,960
+system plus a charge Q<sub>3</sub> that moves from
+
+548
+00:39:54,960 --> 00:39:58,560
+infinity to point B بيقول لأن أن أنت عندك هاد الـ Q
+
+549
+00:39:58,560 --> 00:40:02,000
+تلاتة برا جيب الـ potential energy و حط الـ Q<sub>3</sub>
+
+550
+00:40:02,000 --> 00:40:04,520
+و جيب الـ potential energy و طرحهم من بعض بتطلع نفس
+
+551
+00:40:04,520 --> 00:40:06,940
+الجواب طبعا كيف أجيب الـ potential energy قصة هذه
+
+552
+00:40:06,940 --> 00:40:10,680
+لسه أما أسهل حاجة إذا ما زال بده لـ change الـ
+
+553
+00:40:10,680 --> 00:40:12,920
+potential energy مرات بيقولك find the word
+
+554
+00:40:12,920 --> 00:40:16,480
+عالطول بديكيها مباشرة find the work required to
+
+555
+00:40:16,480 --> 00:40:18,940
+move a charge from point to point from infinity
+
+556
+00:40:18,940 --> 00:40:22,520
+to point or from point to point حسب التعريف بس فرق
+
+557
+00:40:22,520 --> 00:40:26,120
+الجهد في شحنة الموقولة فرق الجهد في شحنة الموقولة
+
+558
+00:40:26,120 --> 00:40:29,020
+إذا جهد واحد معناته النقطة اللي بتكون في المدى
+
+559
+00:40:29,020 --> 00:40:34,900
+النهاية أنا بس أنك تسأل السؤال هذا ليه طلعت طموجة
+
+560
+00:40:34,900 --> 00:40:40,920
+يعني أنت جازدك هنا و أين راح السارق؟
+
+561
+00:40:44,040 --> 00:40:47,740
+و أين راح السالب؟
+
+562
+00:40:47,740 --> 00:40:51,360
+مش جال تو بس هو سالب و هو لسه على كتابته القانون
+
+563
+00:40:51,360 --> 00:40:54,780
+طب و أين راح السالب؟ ليش أنت بتضحك علينا؟ مرة بتحط
+
+564
+00:40:54,780 --> 00:40:58,400
+موجبة و مرة بتحط سالبة طلع عليها المدفوكش مكتوب كلمة
+
+565
+00:40:58,400 --> 00:41:02,020
+an external agent هلجيت طلع عليها نرجع لما أنا
+
+566
+00:41:02,020 --> 00:41:06,340
+شرحت زمان أنا ناجي الهادي من هال لهال شغلي موجبة
+
+567
+00:41:06,340 --> 00:41:12,760
+ولا سالبة؟ شغلي جاذبية؟ شغل الجاذبية بيساوي سالب
+
+568
+00:41:12,760 --> 00:41:18,600
+ΔU ده ايه شغلي؟ بيساوي ΔU فهذا مش شغل
+
+569
+00:41:18,600 --> 00:41:22,580
+القوة الكهربية شغلي أنا external agent فبنروح
+
+570
+00:41:22,580 --> 00:41:25,980
+السالب عشان كده the work required لما يقولك
+
+57
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ee05a1f35274cdd2d557de5eccb09fbbd85983f9
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/JD-fe1GdeC8_raw.json
@@ -0,0 +1 @@
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a point is a potential difference between that point and a point at infinity إذا لما يقولي أوجد الجهد عند نقطة وكأنه بيقولي أوجد فرق الجهد بين النقطة هذه ونقطة المنا نهاية لما يقولي عند نقطة معناته نقطة الأولى التانية وراحت في المنا نهاية", "tokens": [259, 341, 2020, 264, 3995, 412, 257, 935, 307, 257, 3995, 2649, 37495, 22653, 14739, 28239, 47432, 3660, 31439, 3995, 2649, 49374, 8717, 47432, 9957, 36764, 24401, 3660, 9154, 16095, 4032, 9957, 22807, 8978, 9673, 8315, 8717, 11296, 10632, 294, 341, 2020, 264, 3995, 412, 257, 935, 307, 257, 3995, 2649, 1296, 300, 935, 293, 257, 935, 412, 13202, 11933, 15730, 5296, 15042, 7251, 39648, 1829, 5551, 29245, 3215, 25724, 3224, 3215, 43242, 8717, 47432, 3660, 4032, 4117, 33456, 3224, 4724, 1829, 39648, 1829, 5551, 29245, 3215, 6156, 2288, 4587, 25724, 3224, 3215, 49374, 28239, 47432, 3660, 29538, 4032, 1863, 47432, 3660, 9673, 8315, 8717, 11296, 10632, 5296, 15042, 7251, 39648, 1829, 43242, 8717, 47432, 3660, 20449, 8315, 47395, 8717, 47432, 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"end": 868.78, "word": " point", "probability": 0.98828125}, {"start": 868.78, "end": 869.24, "word": " بيكون", "probability": 0.653564453125}, {"start": 869.24, "end": 869.92, "word": " أداني", "probability": 0.63555908203125}, {"start": 869.92, "end": 870.06, "word": " كل", "probability": 0.8837890625}, {"start": 870.06, "end": 871.04, "word": " المعطيات", "probability": 0.93271484375}, {"start": 871.04, "end": 873.34, "word": " تمام؟", "probability": 0.7662760416666666}, {"start": 873.34, "end": 874.56, "word": " بيقول", "probability": 0.787353515625}, {"start": 874.56, "end": 874.78, "word": " from", "probability": 0.490966796875}, {"start": 874.78, "end": 874.98, "word": " the", "probability": 0.88232421875}, {"start": 874.98, "end": 875.22, "word": " above", "probability": 0.9345703125}, {"start": 875.22, "end": 875.68, "word": " definition", "probability": 0.91064453125}, {"start": 875.68, "end": 875.9, "word": " we", "probability": 0.732421875}, {"start": 875.9, "end": 876.5, 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1203.62, "word": " طب", "probability": 0.54296875}, {"start": 1203.62, "end": 1203.9, "word": " نرجع", "probability": 0.9646809895833334}, {"start": 1203.9, "end": 1204.2, "word": " نرجع", "probability": 0.986328125}, {"start": 1204.2, "end": 1204.64, "word": " نرجع", "probability": 0.9903971354166666}], "temperature": 1.0}, {"id": 54, "seek": 122306, "start": 1205.9, "end": 1223.06, "text": "ليش a أكبر للموجة بقى و b سالبة؟ منطق ايه؟ منطق تكون جهود a أكبر من جهود b طبعا طلعت معايا سالبة بيقولوا from the minus sign we conclude that va أكبر من vb", "tokens": [20292, 8592, 257, 5551, 4117, 26890, 5296, 19528, 29245, 3660, 4724, 4587, 7578, 4032, 272, 8608, 6027, 49401, 22807, 9154, 9566, 4587, 1975, 1829, 3224, 22807, 9154, 9566, 4587, 6055, 30544, 10874, 3224, 23328, 257, 5551, 4117, 26890, 9154, 10874, 3224, 23328, 272, 23032, 3555, 3615, 995, 23032, 1211, 34268, 20449, 995, 25528, 8608, 6027, 49401, 4724, 1829, 39648, 14407, 490, 264, 3175, 1465, 321, 16886, 300, 2773, 5551, 4117, 26890, 9154, 371, 65], "avg_logprob": -0.2741666539510091, "compression_ratio": 1.5031446540880504, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1205.9, "end": 1206.24, "word": "ليش", "probability": 0.72509765625}, {"start": 1206.24, "end": 1206.36, "word": " a", "probability": 0.476806640625}, {"start": 1206.36, "end": 1206.68, "word": " أكبر", "probability": 0.93505859375}, {"start": 1206.68, "end": 1207.26, "word": " للموجة", "probability": 0.7427978515625}, {"start": 1207.26, "end": 1208.1, "word": " بقى", "probability": 0.88916015625}, {"start": 1208.1, "end": 1209.38, "word": " و", "probability": 0.65966796875}, {"start": 1209.38, "end": 1209.52, "word": " b", "probability": 0.498779296875}, {"start": 1209.52, "end": 1210.1, "word": " سالبة؟", "probability": 0.593841552734375}, {"start": 1210.1, "end": 1210.66, "word": " منطق", "probability": 0.80859375}, {"start": 1210.66, "end": 1211.48, "word": " ايه؟", "probability": 0.82330322265625}, {"start": 1211.48, 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1220.0, "word": " بيقولوا", "probability": 0.61895751953125}, {"start": 1220.0, "end": 1220.14, "word": " from", "probability": 0.7978515625}, {"start": 1220.14, "end": 1220.34, "word": " the", "probability": 0.8935546875}, {"start": 1220.34, "end": 1220.64, "word": " minus", "probability": 0.93798828125}, {"start": 1220.64, "end": 1221.0, "word": " sign", "probability": 0.91845703125}, {"start": 1221.0, "end": 1221.16, "word": " we", "probability": 0.8037109375}, {"start": 1221.16, "end": 1221.62, "word": " conclude", "probability": 0.86181640625}, {"start": 1221.62, "end": 1221.86, "word": " that", "probability": 0.92724609375}, {"start": 1221.86, "end": 1222.12, "word": " va", "probability": 0.5302734375}, {"start": 1222.12, "end": 1222.52, "word": " أكبر", "probability": 0.951171875}, {"start": 1222.52, "end": 1222.68, "word": " من", "probability": 0.9853515625}, {"start": 1222.68, "end": 1223.06, "word": " vb", "probability": 0.9384765625}], "temperature": 1.0}, {"id": 55, "seek": 123856, "start": 1225.58, "end": 1238.56, "text": "بيقول لي P إيش بده؟ بده Delta U بدي U P نقص U U طب أنا عندي قرون بيقول Delta V بيسوي Delta U على Q مش هي كان عرفت؟ إذا Delta V بيسوى Q في Delta V طب و Q مشهور براتون؟", "tokens": [21292, 39648, 32239, 430, 11933, 1829, 8592, 47525, 3224, 22807, 47525, 3224, 18183, 624, 4724, 16254, 624, 430, 8717, 4587, 9381, 624, 624, 23032, 3555, 41850, 18871, 16254, 12174, 2288, 11536, 4724, 1829, 39648, 18183, 691, 4724, 1829, 3794, 45865, 18183, 624, 15844, 1249, 37893, 39896, 25961, 6225, 28480, 2655, 22807, 11933, 15730, 18183, 691, 4724, 1829, 3794, 2407, 7578, 1249, 8978, 18183, 691, 23032, 3555, 4032, 1249, 37893, 3224, 13063, 4724, 2288, 9307, 11536, 22807], "avg_logprob": -0.36891234230685543, "compression_ratio": 1.5849056603773586, "no_speech_prob": 0.0, "words": [{"start": 1225.58, "end": 1225.92, "word": "بيقول", "probability": 0.59295654296875}, {"start": 1225.92, "end": 1226.02, "word": " لي", "probability": 0.1558837890625}, {"start": 1226.02, "end": 1226.2, "word": " P", "probability": 0.319580078125}, {"start": 1226.2, "end": 1226.38, "word": " إيش", "probability": 0.8056640625}, {"start": 1226.38, "end": 1226.76, "word": " بده؟", "probability": 0.6842447916666666}, {"start": 1226.76, "end": 1226.96, "word": " بده", "probability": 0.87353515625}, {"start": 1226.96, "end": 1227.2, "word": " Delta", "probability": 0.351318359375}, {"start": 1227.2, "end": 1227.48, "word": " U", "probability": 0.7216796875}, {"start": 1227.48, "end": 1228.0, "word": " بدي", "probability": 0.50885009765625}, {"start": 1228.0, "end": 1228.14, "word": " U", "probability": 0.228271484375}, {"start": 1228.14, "end": 1228.3, "word": " P", "probability": 0.5771484375}, {"start": 1228.3, "end": 1228.62, "word": " نقص", "probability": 0.8235677083333334}, {"start": 1228.62, "end": 1228.78, "word": " U", "probability": 0.90966796875}, {"start": 1228.78, "end": 1228.96, "word": " U", "probability": 0.29638671875}, {"start": 1228.96, "end": 1229.28, "word": " طب", "probability": 0.8095703125}, {"start": 1229.28, "end": 1229.4, "word": " أنا", "probability": 0.69775390625}, {"start": 1229.4, "end": 1229.6, "word": " عندي", "probability": 0.9248046875}, {"start": 1229.6, "end": 1229.92, "word": " قرون", "probability": 0.884765625}, {"start": 1229.92, "end": 1230.28, "word": " بيقول", "probability": 0.9318033854166666}, {"start": 1230.28, "end": 1230.68, "word": " Delta", "probability": 0.9052734375}, {"start": 1230.68, "end": 1231.18, "word": " V", "probability": 0.93408203125}, {"start": 1231.18, "end": 1231.9, "word": " بيسوي", "probability": 0.8023681640625}, {"start": 1231.9, "end": 1232.18, "word": " Delta", "probability": 0.939453125}, {"start": 1232.18, "end": 1232.34, "word": " U", "probability": 0.984375}, {"start": 1232.34, "end": 1232.54, "word": " على", "probability": 0.751953125}, {"start": 1232.54, "end": 1232.78, "word": " Q", "probability": 0.95751953125}, {"start": 1232.78, "end": 1233.5, "word": " 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من", "probability": 0.9931640625}, {"start": 2530.53, "end": 2531.03, "word": " اليوم", "probability": 0.995361328125}, {"start": 2531.03, "end": 2531.89, "word": " الكهربا", "probability": 0.9820556640625}, {"start": 2531.89, "end": 2532.03, "word": " من", "probability": 0.98876953125}, {"start": 2532.03, "end": 2532.23, "word": " هال", "probability": 0.784912109375}, {"start": 2532.23, "end": 2532.55, "word": " لجمعة", "probability": 0.732086181640625}, {"start": 2532.55, "end": 2532.73, "word": " ان", "probability": 0.830078125}, {"start": 2532.73, "end": 2532.81, "word": " شاء", "probability": 0.927490234375}, {"start": 2532.81, "end": 2532.87, "word": " الله", "probability": 0.95751953125}, {"start": 2532.87, "end": 2533.17, "word": " بتيجي", "probability": 0.898193359375}, {"start": 2533.17, "end": 2533.39, "word": " عدة", "probability": 0.975830078125}, {"start": 2533.39, "end": 2533.87, "word": " مرات", "probability": 0.9698893229166666}, {"start": 2533.87, "end": 2535.05, "word": " تمام؟", "probability": 0.7715657552083334}, {"start": 2535.05, "end": 2535.75, "word": " بتتأقلموا", "probability": 0.8361002604166666}, {"start": 2535.75, "end": 2536.09, "word": " حالكم", "probability": 0.89013671875}, {"start": 2536.09, "end": 2536.29, "word": " زي", "probability": 0.87841796875}, {"start": 2536.29, "end": 2536.37, "word": " ما", "probability": 0.9453125}, {"start": 2536.37, "end": 2536.63, "word": " انكم", "probability": 0.690673828125}, {"start": 2536.63, "end": 2537.09, "word": " بتتأقلم", "probability": 0.95712890625}, {"start": 2537.09, "end": 2537.55, "word": " حالكم", "probability": 0.9034830729166666}, {"start": 2537.55, "end": 2537.89, "word": " و", "probability": 0.5341796875}, {"start": 2537.89, "end": 2538.27, "word": " بتخسن", "probability": 0.77294921875}, {"start": 2538.27, "end": 2538.41, "word": " على", "probability": 0.84130859375}, {"start": 2538.41, "end": 2538.73, "word": " غسلة", "probability": 0.7359212239583334}, {"start": 2538.73, "end": 2539.13, "word": " automatic", "probability": 0.480224609375}, {"start": 2539.13, "end": 2539.91, "word": " بالكهربا", "probability": 0.98544921875}, {"start": 2539.91, "end": 2540.45, "word": " و", "probability": 0.513671875}, {"start": 2540.45, "end": 2540.93, "word": " بتظبط", "probability": 0.79632568359375}, {"start": 2540.93, "end": 2541.37, "word": " حالكم", "probability": 0.85107421875}, {"start": 2541.37, "end": 2541.49, "word": " و", "probability": 0.6064453125}, {"start": 2541.49, "end": 2541.73, "word": " بتظبط", "probability": 0.81689453125}, {"start": 2541.73, "end": 2542.03, "word": " حالكم", "probability": 0.9415690104166666}, {"start": 2542.03, "end": 2542.15, "word": " و", "probability": 0.3212890625}, {"start": 2542.15, "end": 2542.77, "word": " تدلوا", "probability": 0.464202880859375}, {"start": 2542.77, "end": 2543.33, "word": " بتكونوا", "probability": 0.6461588541666666}, {"start": 2543.33, "end": 2543.41, "word": " ولا", "probability": 0.64453125}, {"start": 2543.41, "end": 2543.69, "word": " بتكونوا", "probability": 0.9290364583333334}, {"start": 2543.69, "end": 2544.29, "word": " الشباب؟", "probability": 0.921142578125}], "temperature": 1.0}, {"id": 108, "seek": 255523, "start": 2544.81, "end": 2555.23, "text": "بتكون ولا بتكونش كيف بتعقلبوا حياتكم انه يوم الكهربا بتكون وانت ممكن تعقلبوا حياتكم يوم الكهربا ممكن تعمل quiz ماتقولوش الكهربا جتاعة تمام يعطيكوا العافية", "tokens": [3555, 2655, 30544, 49429, 39894, 30544, 8592, 9122, 33911, 39894, 3615, 4587, 46152, 14407, 11331, 1829, 9307, 24793, 16472, 3224, 7251, 20498, 33251, 3224, 25513, 995, 39894, 30544, 4032, 7649, 2655, 3714, 43020, 6055, 3615, 4587, 46152, 14407, 11331, 1829, 9307, 24793, 7251, 20498, 33251, 3224, 25513, 995, 3714, 43020, 6055, 25957, 1211, 15450, 3714, 9307, 39648, 2407, 8592, 33251, 3224, 25513, 995, 10874, 2655, 995, 27884, 46811, 10943, 37495, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.30288462073375017, "compression_ratio": 1.9580419580419581, "no_speech_prob": 0.0, "words": [{"start": 2544.81, "end": 2545.25, "word": "بتكون", "probability": 0.7177734375}, {"start": 2545.25, "end": 2545.43, "word": " ولا", "probability": 0.8056640625}, {"start": 2545.43, "end": 2546.03, "word": " بتكونش", "probability": 0.8194986979166666}, {"start": 2546.03, "end": 2547.07, "word": " كيف", "probability": 0.53076171875}, {"start": 2547.07, "end": 2547.65, "word": " بتعقلبوا", "probability": 0.745703125}, {"start": 2547.65, "end": 2547.97, "word": " حياتكم", "probability": 0.69091796875}, {"start": 2547.97, "end": 2548.15, "word": " انه", "probability": 0.421630859375}, {"start": 2548.15, "end": 2548.29, "word": " يوم", "probability": 0.949462890625}, {"start": 2548.29, "end": 2548.69, "word": " الكهربا", "probability": 0.7744140625}, {"start": 2548.69, "end": 2549.15, "word": " بتكون", "probability": 0.949951171875}, {"start": 2549.15, "end": 2549.89, "word": " وانت", "probability": 0.8377278645833334}, {"start": 2549.89, "end": 2550.03, "word": " ممكن", "probability": 0.853515625}, {"start": 2550.03, "end": 2550.47, "word": " تعقلبوا", "probability": 0.78720703125}, {"start": 2550.47, "end": 2550.71, "word": " حياتكم", "probability": 0.899169921875}, {"start": 2550.71, "end": 2550.89, "word": " يوم", "probability": 0.955322265625}, {"start": 2550.89, "end": 2551.29, "word": " الكهربا", "probability": 0.9803466796875}, {"start": 2551.29, "end": 2551.43, "word": " ممكن", "probability": 0.6783447265625}, {"start": 2551.43, "end": 2551.79, "word": " تعمل", "probability": 0.98486328125}, {"start": 2551.79, "end": 2552.21, "word": " quiz", "probability": 0.56201171875}, {"start": 2552.21, "end": 2552.91, "word": " ماتقولوش", "probability": 0.668798828125}, {"start": 2552.91, "end": 2553.23, "word": " الكهربا", "probability": 0.894775390625}, {"start": 2553.23, "end": 2553.69, "word": " جتاعة", "probability": 0.52496337890625}, {"start": 2553.69, "end": 2554.57, "word": " تمام", "probability": 0.7464599609375}, {"start": 2554.57, "end": 2554.87, "word": " يعطيكوا", "probability": 0.789501953125}, {"start": 2554.87, "end": 2555.23, "word": " العافية", "probability": 0.78515625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2555.9365, "duration_after_vad": 2488.687843749991}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..020557971d01d70a0b06d3da2fe737bfdeb0ba46
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/MawTEu1LL_k_postprocess.srt
@@ -0,0 +1,3700 @@
+1
+00:00:10,400 --> 00:00:16,040
+بسم الله الرحمن الرحيم نستأنف اخر حاجة شرحناها هي
+
+2
+00:00:16,040 --> 00:00:20,880
+ال force between two parallel wires نعيده بسرعة
+
+3
+00:00:20,880 --> 00:00:26,150
+عشان نجيب ال force between any two wiresأول حاجة
+
+4
+00:00:26,150 --> 00:00:29,430
+لازم نجيبها هي شدة المجال المغناطيسي اللى جاية من
+
+5
+00:00:29,430 --> 00:00:34,430
+واحد على التانى ثم نطبق قانون F بساوي I L cross ال
+
+6
+00:00:34,430 --> 00:00:39,750
+B على اعتبار ان ال B is constant فلاجينا ان القوة
+
+7
+00:00:39,750 --> 00:00:46,290
+اللى على I واحدبنجيبها إذا كان I1 موجود في مجال
+
+8
+00:00:46,290 --> 00:00:51,690
+مغناطيسي طبعا كون I1 موجود بالقرب من I2 فبالتالي
+
+9
+00:00:51,690 --> 00:00:56,870
+I2 بولد مجال مغناطيسي يؤثر على I1 وبالتالي I1 بصير
+
+10
+00:00:56,870 --> 00:01:03,060
+متأثر بقوة I2المجال المغناطيسي تبع I2 for long
+
+11
+00:01:03,060 --> 00:01:06,060
+wires اللى جيبناه من الفيروس السابق جيبناه من هذه
+
+12
+00:01:06,060 --> 00:01:11,500
+الصيغة و بعد كده جيبنا ان هذه اتجاه B out of the
+
+13
+00:01:11,500 --> 00:01:17,320
+bridge و بعدين طبقنا القانون F بسرعه I L خص ال B
+
+14
+00:01:17,320 --> 00:01:22,600
+اللى بدنا نأكد عليه ان هذا القانون شبهfor straight
+
+15
+00:01:22,600 --> 00:01:26,840
+wires و شرطه ان بيكون uniform القانون العام اللي
+
+16
+00:01:26,840 --> 00:01:34,700
+بينفع لجميع الحالات ان F بساوي I تكامل D L cross B
+
+17
+00:01:34,700 --> 00:01:41,710
+هذا القانون الأصلي العامconsensus تظهر مرة التكامل
+
+18
+00:01:41,710 --> 00:01:45,710
+إذا دي ال مش مستقيم تكاملها ال احنا متفقين فبصير
+
+19
+00:01:45,710 --> 00:01:49,190
+هذا القانون إذا دي ال consensus و ال مش مستقيم
+
+20
+00:01:49,190 --> 00:01:52,610
+فتكامل ال DNA ال شرطة إذا كنتوا ذاكرينها و ال شرطة
+
+21
+00:01:52,610 --> 00:01:55,310
+هي المسافر من بداية ال select لنهاية ال select لكن
+
+22
+00:01:55,310 --> 00:02:00,700
+هذا هو القانون العام اللي بنطبقه دائماهم منها جبنا
+
+23
+00:02:00,700 --> 00:02:06,020
+القانون و لجينا انه لما يقول ال two wires have
+
+24
+00:02:06,020 --> 00:02:09,220
+currents in the same direction they attract each
+
+25
+00:02:09,220 --> 00:02:16,040
+other and vice versa تمامفي المثال ان احنا حلنا
+
+26
+00:02:16,040 --> 00:02:21,860
+اللي هو هذا وكان مطلوب منه إيجاد القوة المغناطسية
+
+27
+00:02:21,860 --> 00:02:25,480
+على الدرع الفجاني طبعا لو واحد ما قلتلي اختار
+
+28
+00:02:25,480 --> 00:02:28,720
+الدرع الفجاني هو يقول ان انت عملت الدرع الفجاني
+
+29
+00:02:28,720 --> 00:02:32,580
+انت تحتاني عملتهليش ما اختارش الدلالة حدى؟ عشان
+
+30
+00:02:32,580 --> 00:02:36,000
+هنا فيه trick لإن لو اختار الدلالة حدى بيثابت عليه
+
+31
+00:02:36,000 --> 00:02:40,740
+لو اختار الدلالة حدى بيثابت عليه لكن هنا بيه مش
+
+32
+00:02:40,740 --> 00:02:44,880
+ثابتة وبالتالي لابد انك انت تستخدم هذا القانون
+
+33
+00:02:44,880 --> 00:02:49,960
+وعشان تستخدم هذا القانون دي إلا هي جزء من العنصر
+
+34
+00:02:49,960 --> 00:02:54,300
+بصير انت مجبر تاخد جزء من العنصرفبقول لك the wire
+
+35
+00:02:54,300 --> 00:03:00,300
+I1 creates a magnetic field given by IB اتجاهها
+
+36
+00:03:00,300 --> 00:03:04,180
+into the page عرفنا الاتجاه بقاعدة اليهدي اليمنى
+
+37
+00:03:04,180 --> 00:03:08,190
+انه into the page زي ما انتوا شايفين بيه واحدميو
+
+38
+00:03:08,190 --> 00:03:13,350
+نوت اي على اتنين باي اكس او ار او دي هذه اكس و
+
+39
+00:03:13,350 --> 00:03:18,090
+الدرع هنا و انا ماشي بتتغير اذا بي is not constant
+
+40
+00:03:18,090 --> 00:03:23,670
+بي is not constant along the side along the upper
+
+41
+00:03:23,670 --> 00:03:26,270
+side ما زال عامل ثابت ابقى مقدرش يطلع حد برا
+
+42
+00:03:26,270 --> 00:03:30,430
+التكامل بالتالي خلي التكامل زي ما هو عشان تحله
+
+43
+00:03:30,430 --> 00:03:33,310
+بقولك اذا معناته DL بدك تجيبها ايش يا DL يزور من
+
+44
+00:03:33,310 --> 00:03:36,560
+السلكلجزء من السريك جزء من الدرع الفجاني لان انا
+
+45
+00:03:36,560 --> 00:03:40,200
+بتعامل مع درع فجاني فكان لابد من اني اجيب درع اللي
+
+46
+00:03:40,200 --> 00:03:43,120
+هو زي ما انتوا شايفينه اتجاه التيار لما اتجاه
+
+47
+00:03:43,120 --> 00:03:47,040
+التيار ماتينياها clockwise هو I2 زي ما انتوا
+
+48
+00:03:47,040 --> 00:03:52,620
+شايفين ثم ساعتها بقول هنا المسافة هذه هي X في هذه
+
+49
+00:03:52,620 --> 00:03:57,800
+الحالة فسبرة DF بسوء I2 طبعا DF عشان اقول التكامل
+
+50
+00:03:57,800 --> 00:04:02,720
+بعدين بكمل DX cross P1 P1 هيها جبتها و بعد كده
+
+51
+00:04:02,720 --> 00:04:07,150
+كملتواتفقنا التكامل بيكون من بداية السلك لنهاية
+
+52
+00:04:07,150 --> 00:04:10,970
+السلك من بداية السلك لنهاية السلك بكون هذه هي جميع
+
+53
+00:04:10,970 --> 00:04:15,470
+العناصر المكونة للسلك المعني وفي هذه الحالة من
+
+54
+00:04:15,470 --> 00:04:19,770
+بداية السلك X بتكون A لنهاية السلك بتكون X A plus
+
+55
+00:04:19,770 --> 00:04:26,210
+B فبالتالي من A ل A زائد Bهذه هي حدود التكامل من
+
+56
+00:04:26,210 --> 00:04:30,230
+بداية السلك لنهاية السلك لان انا بدي قوة على كل ال
+
+57
+00:04:30,230 --> 00:04:34,250
+other side على كل الضلع الفجاني تبع ال wire تبع ال
+
+58
+00:04:34,250 --> 00:04:40,810
+loop طبعا هذه المعروفة تكملها بتطلع بهذا الشكلطبعا
+
+59
+00:04:40,810 --> 00:04:49,030
+هذه اخر حاجة اعملناها الان شباب amberslaw اتفقنا
+
+60
+00:04:49,030 --> 00:04:56,290
+بناضر قانون gauss بيوتس فارت بناضر قانون كولوم بدي
+
+61
+00:04:56,290 --> 00:04:59,010
+اناقش القانون gauss بس القانون gauss كان يقول
+
+62
+00:04:59,010 --> 00:05:08,490
+التكامل المغلق ل e dot d a بتساوي q in على epsilon
+
+63
+00:05:08,490 --> 00:05:09,730
+ذاكرينه
+
+64
+00:05:11,780 --> 00:05:17,220
+الشيهة هذه مساحة سطح جاوس، مظبط ولا لأ؟ هذه شدة
+
+65
+00:05:17,220 --> 00:05:21,720
+المجال الكهربائي، هذه الـQN شيهة، الشحنات اللي
+
+66
+00:05:21,720 --> 00:05:27,020
+داخل سطح جاوس، تمام؟ طبعا التيار ليس زي الشحنات،
+
+67
+00:05:27,020 --> 00:05:31,180
+الشحنات تنحصر جوا و برا، التيار بيمشي، بيخطيق
+
+68
+00:05:31,180 --> 00:05:36,800
+مساحات، بيكونش جوا مساحة، لأنه بيبقى ماماشيأنبيرز
+
+69
+00:05:36,800 --> 00:05:43,320
+إيش لجأ قال التكامل المغلقة بني الإي بيحط بيه بس
+
+70
+00:05:43,320 --> 00:05:48,300
+لجأ انه مش دي إيه فيه loops مغلقة فخلينا بس نكتبه
+
+71
+00:05:48,300 --> 00:05:52,900
+بيقولي أنبيرز لو states that إيش بنص بيقولي the
+
+72
+00:05:52,900 --> 00:05:58,360
+line integral حد شباب بيسموه surface integralتكامل
+
+73
+00:05:58,360 --> 00:06:02,440
+على سطح الان بدي اكمل على خط على line ال line
+
+74
+00:06:02,440 --> 00:06:09,580
+integral of B dot DL بدل E حق B و بدل D E حق D L
+
+75
+00:06:09,580 --> 00:06:16,100
+دي ذوق من طول مش من مساحة around any closed path
+
+76
+00:06:16,100 --> 00:06:20,080
+هذه around any closed surface هذهك closed path
+
+77
+00:06:20,080 --> 00:06:24,000
+مصار مغلق يعني المصار المغلق شباب طوله ايش بيكون
+
+78
+00:06:24,000 --> 00:06:34,980
+المصار المغلق ايش طولهمحيط تمام محيط equals mu not
+
+79
+00:06:34,980 --> 00:06:41,720
+على I احنا متفقين انه لما K تبعت كل يوم و K تبعت
+
+80
+00:06:41,720 --> 00:06:46,000
+بيه هذي بيساوي واحد على أربعة by epsilon not مظبوط
+
+81
+00:06:46,000 --> 00:06:53,080
+ل .. اللي هي K و هذي بيساوي mu not على أربعة by
+
+82
+00:06:53,080 --> 00:06:57,770
+شوف هنا epsilon not في المقام هذي وين صارتفي
+
+83
+00:06:57,770 --> 00:07:00,790
+الـBest في بين هذه و بين هذه علاقة دلوقتي عكسية
+
+84
+00:07:00,790 --> 00:07:05,890
+هنا إبسل نوت كان في المقام هنا هتكون في الـBest
+
+85
+00:07:05,890 --> 00:07:10,590
+بدا تناكس فالقانون تبقى أمبير لو رأيت بدي أحطه
+
+86
+00:07:10,590 --> 00:07:15,370
+رياضيا هذا هو هذا قانون أمبير نشوف إيش بيشبه جاوز
+
+87
+00:07:15,370 --> 00:07:20,990
+بدل E حط B حاجة الفرق الواضح بين جاوز و أمبير ان
+
+88
+00:07:20,990 --> 00:07:25,870
+جاوز تكاملك على سطح مغلق هنا تكاملك على مسار مغلق
+
+89
+00:07:26,580 --> 00:07:31,660
+على مسار مغلق بالساوي بدي الـY نوت حط الـU نوت بس
+
+90
+00:07:31,660 --> 00:07:34,400
+الـY نوت كانت فى المقامة ده كانت فى الـBus بدي
+
+91
+00:07:34,400 --> 00:07:39,300
+الـQ in حط I in او I enclosed هذه enclosed يعني
+
+92
+00:07:39,300 --> 00:07:44,560
+لجوه هي هي وهذه اه الـQ in لجوه بس قلّى الطيار
+
+93
+00:07:44,560 --> 00:07:48,540
+مقعدش مفهش تقول طيار جوه طيار برا هإيش بقول انت ال
+
+94
+00:07:48,540 --> 00:07:51,560
+loop اي loop بتعملها اي loop خلينا نقول loop
+
+95
+00:07:51,560 --> 00:07:57,270
+دائرية مش بتعمل بتقوط مساحةأي لوب بتحوط مساحة بجول
+
+96
+00:07:57,270 --> 00:08:00,050
+الطيار إذا اخترق هذه المساحة بالـD هو الـI
+
+97
+00:08:00,050 --> 00:08:03,550
+enclosed إذا الـI enclosed هو الطيار المخترق
+
+98
+00:08:03,550 --> 00:08:08,850
+للمساحة اللي يتحددها اللوب المغلقاه تمام الcircle
+
+99
+00:08:08,850 --> 00:08:11,030
+and the integral هذه شرط الcircle اللي حطيناها
+
+100
+00:08:11,030 --> 00:08:15,610
+يعنيأيش بتعني؟ إغلاق و هنا نفس العملية فيه circle
+
+101
+00:08:15,610 --> 00:08:18,570
+هنا سطح مغلق هنا Loop مغلقة
+
+102
+00:08:42,800 --> 00:08:46,980
+Gauss is law بقولنا بدي اختار سطح Gauss واتفقنا كم
+
+103
+00:08:46,980 --> 00:08:52,860
+سطح Gauss عندنا أشكالهم جاوس اتنين الأشكال اللي
+
+104
+00:08:52,860 --> 00:08:56,240
+بينطبق عليها قالون جاوس تلاتة لكن سطح جاوس اتفقنا
+
+105
+00:08:56,240 --> 00:08:59,120
+لها قرار الصوانة حتى الأشكال المسطحة بقولنا بيناش
+
+106
+00:08:59,120 --> 00:09:03,880
+متوازن مستطيلات لأنه بتحل المشكلة تلال الصوانة طيب
+
+107
+00:09:03,880 --> 00:09:07,860
+إيش ال loops المغلقة؟ إيش أشكالها في بالكم؟ إيش
+
+108
+00:09:07,860 --> 00:09:09,220
+مقلتكم؟ مستطيل
+
+109
+00:09:15,360 --> 00:09:21,800
+لأ انا بدي الان loop مغلقة مش سطح مغلق loop مصار
+
+110
+00:09:21,800 --> 00:09:27,420
+مصار هي مستطيل تمام او دويرة طبعا لاحد مديش هي
+
+111
+00:09:27,420 --> 00:09:32,820
+اعلى ده ملاوي هي مالي اشكالية تمام اذا حيكون عندي
+
+112
+00:09:32,820 --> 00:09:36,180
+انا بس شكلين اما دويرة او مستطيل طبعا المربع ماهو
+
+113
+00:09:36,180 --> 00:09:40,900
+مستطيل هي هيبقول light gauss's law زي ما كان في
+
+114
+00:09:40,900 --> 00:09:43,880
+gauss's law أنا إيش كنت استخدم gauss's law أهمية
+
+115
+00:09:43,880 --> 00:09:47,700
+gauss's law إذا كانت بيخلّيني أعرف أحسب إيه أحسب
+
+116
+00:09:47,700 --> 00:09:51,680
+إيه بقول لي light gauss's law بيوصف له of Ampère's
+
+117
+00:09:51,680 --> 00:09:55,720
+law is in calculating the magnetic field أهميته
+
+118
+00:09:55,720 --> 00:10:00,740
+إنه بيحسبني قيمة B بس وقت إيش جالي بشرط إن التكامل
+
+119
+00:10:00,740 --> 00:10:06,610
+هدى تقدر تحللهتمام؟ وهذا التكامل أسهل حلّين إله
+
+120
+00:10:06,610 --> 00:10:12,130
+أول حل إن بيكون برا يعني يكون بي ثابت أو إذا هذا
+
+121
+00:10:12,130 --> 00:10:15,190
+ماتثابت خلّي هذا كله يكون Zero و وقت إيش هذا
+
+122
+00:10:15,190 --> 00:10:18,770
+ماتكون Zero إذا هذا و هذا متعمدين صح ولا لأ؟ إذا
+
+123
+00:10:18,770 --> 00:10:25,570
+متعمدين كل التكامل بروح صفر تمام إذا بيقولّي like
+
+124
+00:10:25,570 --> 00:10:29,630
+Gauss's law the useful of Ampere's law is in
+
+125
+00:10:29,630 --> 00:10:33,630
+calculating the magnetic fieldلتفعل هذا، يجب أن
+
+126
+00:10:33,630 --> 00:10:36,610
+يكون ملاحظة التفاصيل التالية. طب احنا اتفقنا ان
+
+127
+00:10:36,610 --> 00:10:41,410
+القانون gauss قاسر. ليش؟ لأنه ممكن تحل التكامل إلا
+
+128
+00:10:41,410 --> 00:10:45,870
+في حالات خاصة. ممكن تجيب سطح مغلق بحيث أنه يكون
+
+129
+00:10:45,870 --> 00:10:50,750
+مستمر عليه إلا في تلت حالات مافيش لهم رابع.الأشكال
+
+130
+00:10:50,750 --> 00:10:54,550
+القروية بكل أنواعها ووحجمها، الأشكال الأسطوانية
+
+131
+00:10:54,550 --> 00:10:58,770
+الطويلة جدا، والأشكال المسطحة الكبيرة جدا.ان بيرز
+
+132
+00:10:58,770 --> 00:11:02,910
+قال لك نفس القضية، أنا لأ أنطبق على جميع الأشكال،
+
+133
+00:11:02,910 --> 00:11:06,870
+بيقول لي عشان كده The closed loop must be chosen
+
+134
+00:11:06,870 --> 00:11:13,270
+such that the integralالتكامل الان صار بي dot ال
+
+135
+00:11:13,270 --> 00:11:18,290
+dl بيسوي new node I enclosed هاي قانونه بقول يا ال
+
+136
+00:11:18,290 --> 00:11:21,850
+loop بيجي تختارها بحيث ان بي كان easy to be
+
+137
+00:11:21,850 --> 00:11:26,290
+computed ان التكامل هذا تحسبه بسهولة either بي is
+
+138
+00:11:26,290 --> 00:11:30,110
+constant وهذا وقت ايش بيصير سهل اما بيكون ثابته
+
+139
+00:11:30,110 --> 00:11:33,910
+وطلع حضرة ايش بيكون يوم التكامل ضل ايش تكامل ال dl
+
+140
+00:11:33,910 --> 00:11:41,030
+سهل صارتذا إن كلها يتكلموا لـ Zero أو كله Zero
+
+141
+00:11:41,030 --> 00:11:44,370
+طبعا اتفقنا إن Zero ممكن يكون الـ product بالديني
+
+142
+00:11:44,370 --> 00:11:50,250
+Zero طيب إذا أنا هذي هو شرطي for the above not to
+
+143
+00:11:50,250 --> 00:11:53,690
+be satisfied وهذا الشرط اتحقق بيقول الـ Ampere's
+
+144
+00:11:53,690 --> 00:11:56,930
+law is applicable only for current distribution of
+
+145
+00:11:56,930 --> 00:11:59,770
+high degree of symmetry وبالتالي لا تستطيع تطبيق
+
+146
+00:11:59,770 --> 00:12:04,890
+قانون Ampere إلا بحالات السمتري العالي والسمتري
+
+147
+00:12:04,890 --> 00:12:09,340
+العالي بتحقق بس في تلت حالات شبابالسلك الطويل جدا
+
+148
+00:12:09,340 --> 00:12:14,740
+زي جوس السلك الطويل جدا ونوعين من الملفات الملف
+
+149
+00:12:14,740 --> 00:12:20,300
+الحمزوني كيف حمز الملف الدائرة شباب هذا ملف
+
+150
+00:12:20,300 --> 00:12:24,080
+بيسموله ملف حمزوني هذا عشان نشوف بيكون بيه فيه
+
+151
+00:12:24,080 --> 00:12:27,880
+ممكن تستخدم عليه قانون أنبياء وفي ملف تاني ملف
+
+152
+00:12:27,880 --> 00:12:32,280
+غالبا في كل كتير الشغلات بتشوفوها سلك ملفوف حوالين
+
+153
+00:12:32,280 --> 00:12:36,630
+دورةهذا ملف داعي لكتير من الملفات الطبيعية اللي
+
+154
+00:12:36,630 --> 00:12:41,610
+موجودة النحاسية هذا بيسموه برضه ملف toroidal برضه
+
+155
+00:12:41,610 --> 00:12:45,780
+هذا بينطبق عليه واحدة واحدةتمام بيقول زي أنك كنت
+
+156
+00:12:45,780 --> 00:12:49,460
+كيف تختار السطح ده عرض تختار كرة طب الكرة هذه
+
+157
+00:12:49,460 --> 00:12:52,060
+تحطها عشوائية و لازم النقطة تكون موجودة على سطحها
+
+158
+00:12:52,060 --> 00:12:55,020
+مشكلة النقطة لازم تكون على سطحها و هنا اللوب اللي
+
+159
+00:12:55,020 --> 00:12:58,400
+بتختارها لازم النقطة تكون موجودة على محيطها the
+
+160
+00:12:58,400 --> 00:13:01,320
+point at which B to B calculated must lie in the
+
+161
+00:13:01,320 --> 00:13:03,980
+circumference of that loop لازم النقطة اللي انت
+
+162
+00:13:03,980 --> 00:13:07,960
+بدك تجيب عندها B تكون موجودة على محيط هذه اللوب
+
+163
+00:13:07,960 --> 00:13:13,580
+المغلقة تمام قلينا الحين مثالأذا انا عندي ينطبق
+
+164
+00:13:13,580 --> 00:13:16,560
+قانون الامبير على ثلاث حالات شباب الأسلاك الطويلة
+
+165
+00:13:16,560 --> 00:13:19,520
+جدا ال solenoid نوع من أنواع الملفات و ال toroid
+
+166
+00:13:19,520 --> 00:13:22,040
+نوع من أنواع الملفات غير كده لا ينطبق قانون
+
+167
+00:13:22,040 --> 00:13:28,440
+الامبير فبالتالي قصوره واضح ومافيش فيه قد حالات
+
+168
+00:13:28,440 --> 00:13:31,420
+الحالات الوحيدة اللي ينطبق عليها هم هدول مافيش
+
+169
+00:13:31,420 --> 00:13:34,960
+مجال نجيب نطبق قانون الامبير على تلات حالات هدول
+
+170
+00:13:38,420 --> 00:13:42,580
+Gorse بينفعش، Ring بينفعش، فهمتوا عليا؟ احنا حلينا
+
+171
+00:13:42,580 --> 00:13:46,380
+على باصة بيوت صبارت تلت أنف لشباب، جيبنا سلك طول
+
+172
+00:13:46,380 --> 00:13:50,420
+اتنين L، كان سلك اتنين طوله L، خلّط عليه بيوت
+
+173
+00:13:50,420 --> 00:13:54,560
+أنصار، بينفع تطبق أنبير؟ لأ، لأنه مش طويل جدا،
+
+174
+00:13:54,560 --> 00:13:58,860
+أعملت الcourse هذا، ذاكرينه؟ جيبته، بينفع أنبير؟
+
+175
+00:13:58,860 --> 00:14:04,140
+بينفعشالشغال تاني ring وعنده نقطة هالى بنفع أمبير
+
+176
+00:14:04,140 --> 00:14:09,900
+برضه بنفعش إذا الامبير السلك هذا إذا طويل جدا بنفع
+
+177
+00:14:09,900 --> 00:14:15,040
+تحل غير هيك بنفعش تحله هنا بيقولي a long straight
+
+178
+00:14:15,040 --> 00:14:19,280
+wire long عشان تجي تتطبيق عليها قانون أمبير a long
+
+179
+00:14:19,280 --> 00:14:23,640
+straight wire of radius capital R carries a steady
+
+180
+00:14:23,640 --> 00:14:27,670
+current Iو يحمل تيار و التيار uniformly
+
+181
+00:14:27,670 --> 00:14:30,950
+distributed across الداوير و موزع بانتظام جوا
+
+182
+00:14:30,950 --> 00:14:34,850
+السلك طبعا يا شباب هذا سلك خميل هجيت أي سلك كهربا
+
+183
+00:14:34,850 --> 00:14:38,930
+خميل من النص فاضي بيكون لأ مصمم في انحاس و في
+
+184
+00:14:38,930 --> 00:14:43,250
+المكان فالتك من ال plastic و في المكان في انحاس و
+
+185
+00:14:43,250 --> 00:14:48,130
+في كهربا تمامFind the magnetic field outside and
+
+186
+00:14:48,130 --> 00:14:51,430
+inside the wire بس نرسم الرسم هاي السلك هذا كله
+
+187
+00:14:51,430 --> 00:14:55,970
+سلك من انحاس بيحمل طيار بهذا الشكل طبعا الطيار
+
+188
+00:14:55,970 --> 00:14:59,670
+موزع بين تراما انا حاطيت هدول لكن هنا في طيار او
+
+189
+00:14:59,670 --> 00:15:02,510
+هنا في طيار و هنا في طيار واضح فهذا مليئ ان كله
+
+190
+00:15:02,510 --> 00:15:06,750
+طيار و اما تقط أصبعك تتكعب فيه كهربا تمام؟ بده شدة
+
+191
+00:15:06,750 --> 00:15:09,510
+المجال المغناطيسي مش هدا طيار بولد مجال مغناطيسي
+
+192
+00:15:10,240 --> 00:15:13,740
+المجال المناطنيسي بيقول احسب ليه عن نقطة برا وعن
+
+193
+00:15:13,740 --> 00:15:18,720
+نقطة جوه برا يعني لا هنا لا هنا طب جوه هنا صح ولا
+
+194
+00:15:18,720 --> 00:15:23,190
+بدي بيه هنا شوف ايه جدش قيمتهطبعا؟ ايش عمال جالها
+
+195
+00:15:23,190 --> 00:15:26,690
+ده؟ long straight way الـ long و عادى بشوف انا
+
+196
+00:15:26,690 --> 00:15:32,110
+وياكم انه ليش الـ long بطلع بيه ثابت عليه بيه ثابت
+
+197
+00:15:32,110 --> 00:15:35,810
+عليه انا بدي اجيب شدة المجال اللي مغلطيسي شباب لا
+
+198
+00:15:35,810 --> 00:15:40,730
+هنا لا هنا ايه هسوي؟ انا اختار ال loop مغلقة ال
+
+199
+00:15:40,730 --> 00:15:44,390
+loop المغلقة اللي بتختارها الآن شرطها انه بيكون
+
+200
+00:15:44,390 --> 00:15:48,550
+ثابت عليها يكون بيه ثابت عليها يجى واحدة واحدة،
+
+201
+00:15:48,550 --> 00:15:54,740
+ذاكين هذى؟ high silkوها دي loop ولا مش loop طول ما
+
+202
+00:15:54,740 --> 00:16:00,260
+انت ماشي هيك بيه بتتغير؟ اذا لو اختارت loop دويرة
+
+203
+00:16:00,260 --> 00:16:04,080
+بيه بتكون ثابتة عليها ولا ماتثابتة؟ ليش؟ انك انت
+
+204
+00:16:04,080 --> 00:16:07,980
+على أبعاد متسوية من السلك ولا لأ؟ لو أخدت loop
+
+205
+00:16:07,980 --> 00:16:12,960
+مستطيل بتظبط معاك؟ ماتظبطش لأن هاي السلك شوف انت
+
+206
+00:16:12,960 --> 00:16:17,280
+لما يكون مستطيل عن هاي loop صح؟ يعني طول ما انت
+
+207
+00:16:17,280 --> 00:16:21,820
+ماشي هيك تبعد و بتجرب عن السلكب من الثابتة طب وانت
+
+208
+00:16:21,820 --> 00:16:25,120
+ماشي هيك بتبعدي و بتقرب ها أنا قريب هنا ابعدت هنا
+
+209
+00:16:25,120 --> 00:16:29,300
+ابعدت نفس العملية لما تاخد جلوب مستطيل ب من
+
+210
+00:16:29,300 --> 00:16:35,240
+الثابتة هذا يجب ان تطلع برا لكن خد دورة طول ما انت
+
+211
+00:16:35,240 --> 00:16:38,760
+ماشي هيك بتقرب ولا تبعدي عن السلك اذا ب ثابتة و لا
+
+212
+00:16:38,760 --> 00:16:45,040
+من الثابتة ب ثابتة طيب كمان مرة لو بدي اجيب اتجاه
+
+213
+00:16:45,040 --> 00:16:47,880
+بي هذه السلك وهذه الطيارة كيف اتجاه بي
+
+214
+00:16:51,570 --> 00:16:55,210
+مظبوط ولا لأ؟ طيب و ال loop اللى بدي اخدها هي
+
+215
+00:16:55,210 --> 00:17:00,370
+نفسها جديش المسافة الجزاوية بين طول ال loop هذه و
+
+216
+00:17:00,370 --> 00:17:04,570
+اتجاه المجال ليش؟
+
+217
+00:17:04,570 --> 00:17:10,440
+مماسما هي طول اللوب مماس و المجال المعاطيسي مماس
+
+218
+00:17:10,440 --> 00:17:14,520
+إذا كانتش زوايا بينهم زي بعد سفر و cosine السفر
+
+219
+00:17:14,520 --> 00:17:19,080
+واحد إذا كنت بسوي بقول انا اول حاجة بدي اختار
+
+220
+00:17:19,080 --> 00:17:23,320
+اللوب solution for the outside region for the
+
+221
+00:17:23,320 --> 00:17:27,480
+outside region let us choose a circular loop بدي
+
+222
+00:17:27,480 --> 00:17:30,180
+اختار circular loop واتفقنا ان ال circular مش
+
+223
+00:17:30,180 --> 00:17:34,680
+مستطيل of radius R around the wire هي اللوب اللي
+
+224
+00:17:34,680 --> 00:17:40,200
+اخترتهاهيجيج بهذا الاتجاه عند أعلى نقطة كيف اتجاه
+
+225
+00:17:40,200 --> 00:17:46,740
+المجال المناطيسي عليكم أو عند أعطاء نقطة هنا يعني
+
+226
+00:17:46,740 --> 00:17:52,740
+هيك و هيك صح او لأ طيب هذه هي اتجاه المجال
+
+227
+00:17:52,740 --> 00:17:58,620
+المناطيسي اتفقنا هذه هيك وهذه هيك صح هيك تمام لان
+
+228
+00:17:58,620 --> 00:18:04,160
+انا هيك اشتغلنا تمام بدي DL هذه DL اللي هو بنفس
+
+229
+00:18:04,160 --> 00:18:11,870
+اللي رسمتها اناDL جزء من محيط واتجاه المحيط مماسات
+
+230
+00:18:11,870 --> 00:18:17,510
+ايش المماس اللى بتعمل عندها دى النقطة برضه عليكم و
+
+231
+00:18:17,510 --> 00:18:20,690
+ايش المماس اللى بتحطوا عليها برضه هي اذا معناته
+
+232
+00:18:20,690 --> 00:18:24,510
+الزاوية سفر طبعا او 180 اذا واحد يقول انت ليش عمل
+
+233
+00:18:24,510 --> 00:18:27,390
+تمه على الطريقة حتى لو كانت 180 مايكسان سفر واحد
+
+234
+00:18:27,390 --> 00:18:30,830
+وكسان مية تمانين ماقص واحد مش قضية اتجاه تمه
+
+235
+00:18:33,900 --> 00:18:39,380
+هذه خانون امبير بي ضد ال دي ال بقدر ال ام اضمن ان
+
+236
+00:18:39,380 --> 00:18:40,960
+بي is constant ولا لأ
+
+237
+00:18:43,640 --> 00:18:47,220
+نقول من الاسمترى نرى أن P يجب أن يكون مستمر في
+
+238
+00:18:47,220 --> 00:18:50,660
+المجموعه إذا هنا خانون أمير بتقدر يتطبقوا أن P
+
+239
+00:18:50,660 --> 00:18:56,400
+مستمر في المجموعه وTangent لكل مقاطع في المقاطع
+
+240
+00:18:56,400 --> 00:19:01,460
+وبرضه تانجنت تما Thus at every point the angle θ
+
+241
+00:19:01,460 --> 00:19:07,100
+between P and DL is zero وكسيم الزيرو واحد بسيطة
+
+242
+00:19:07,100 --> 00:19:11,980
+إذا صارت بيطلعتها برا التكامل ال data product روحت
+
+243
+00:19:11,980 --> 00:19:16,760
+ايش تكامل دي ال ال ال مين لل loop اللي اخترتها
+
+244
+00:19:16,760 --> 00:19:21,880
+دويرة في حد عارفش طول الدويرة مش المحيط اتنين by ا
+
+245
+00:19:21,880 --> 00:19:25,580
+بس هو من نفسي I enclosed نيجي ل I enclosed ايه
+
+246
+00:19:25,580 --> 00:19:30,680
+اعرف ليها لفظة اللي هي التيارات اللي تخترق المساحة
+
+247
+00:19:30,680 --> 00:19:34,360
+اللي حددتها ال loop ال loop اللي رسمتها حدث
+
+248
+00:19:34,360 --> 00:19:38,080
+للمساحة الصفراء ولا لأشايفين مساحة الصفراء أنا بدي
+
+249
+00:19:38,080 --> 00:19:41,380
+الطيارات اللتي تخترق المساحة الصفراء هذه الطيارات
+
+250
+00:19:41,380 --> 00:19:48,880
+في واحد منهم مخترقش كلهم بديهم هذا هو ال total
+
+251
+00:19:48,880 --> 00:19:52,980
+current ولا لأ هذا ال total current اه في واحد
+
+252
+00:19:52,980 --> 00:19:58,690
+بجثثنيلأ كله بدية لان يقولي I enclosed هو ال total
+
+253
+00:19:58,690 --> 00:20:03,770
+current crossing the area bounded by the loop ال
+
+254
+00:20:03,770 --> 00:20:06,890
+area ال bounded by the loop الصفراء اول ما اعمل
+
+255
+00:20:06,890 --> 00:20:11,210
+loop بقول هو المسافر علي بديها اي تيار بيخترقها
+
+256
+00:20:11,210 --> 00:20:15,830
+بيضل من ضمن I enclosed هنا نجيت ان كل التيارات
+
+257
+00:20:15,830 --> 00:20:20,730
+تخترقها خدهم كلهم كلهم الدكية هي قيمتهم I واضح
+
+258
+00:20:20,730 --> 00:20:26,560
+شباب؟ هي I enclosedطبعا إذا معناته بيقول لـ I
+
+259
+00:20:26,560 --> 00:20:34,080
+enclosed هي I في إشكالية خلاص طلعت جواب مش بده بيه
+
+260
+00:20:34,080 --> 00:20:39,980
+ايه بيه طلعت بيه وهذه أنا طلعتها أنا وياكم بواسط
+
+261
+00:20:39,980 --> 00:20:43,800
+بيئة أنصار لما طلعت لاتنين ال وقلت خلّي ال جوز ثم
+
+262
+00:20:43,800 --> 00:20:48,720
+لنهاية أو طلعت النتيجة نفسهاNote that this result
+
+263
+00:20:48,720 --> 00:20:53,180
+agree with that of example 8.1 in the limit of
+
+264
+00:20:53,180 --> 00:20:55,780
+long wire لما عملتي limit long wire طلعت نفس
+
+265
+00:20:55,780 --> 00:20:59,900
+النتيجة كانت أيامها نفس القضية كانت D بدل R اظنني
+
+266
+00:20:59,900 --> 00:21:03,740
+بس بدل R كانت D المسافة لان انا ايامها كان في عندي
+
+267
+00:21:03,740 --> 00:21:08,500
+سلك هيك وكان ال نقطة هنا و هذه اظنني كانت D و هذه
+
+268
+00:21:08,500 --> 00:21:12,880
+اقوله 2Lلما خدت كوابة من ناقص L ل L إذا كنت ذاكرين
+
+269
+00:21:12,880 --> 00:21:16,280
+بعدين قولنا هذا صدق جرسيا طب كيف بيكون طويل و نلتق
+
+270
+00:21:16,280 --> 00:21:19,880
+الجرس تماما نهاية طلعنا نتيجة هذه كذبط طلعت معايا
+
+271
+00:21:19,880 --> 00:21:25,640
+Mu not I على 2 by D هي كذبط طلعت طبعا بدل D هنا
+
+272
+00:21:25,640 --> 00:21:29,680
+هناك ايش فيه R بس مش أكتر طلعت نفس النتيجة طبعا في
+
+273
+00:21:29,680 --> 00:21:35,520
+نهاية and bears low هيوم بيمليش السطر and bears
+
+274
+00:21:35,520 --> 00:21:39,980
+low بطلع نتيجة بدون ميملي السطربيوت أنصارك بنكامل
+
+275
+00:21:39,980 --> 00:21:43,860
+و نعمل و نسوي و نشتغل و التكامل سهل و التكامل صعب
+
+276
+00:21:43,860 --> 00:21:48,060
+و بتطلعنا نتيجة في الآخر صحيح لكن بده صفحة على أقل
+
+277
+00:21:48,060 --> 00:21:53,700
+حل و هذا بده أقل من سطر عشان نطلع نفس النتيجة مع
+
+278
+00:21:53,700 --> 00:21:57,320
+الأسف أن بير من سهولته مع سهولته لاينطبق على جميع
+
+279
+00:21:57,320 --> 00:22:01,760
+الأشكال أى المشكلة وبالتالي لما ينطبق سهل مينطبقش
+
+280
+00:22:01,760 --> 00:22:07,210
+فيه إشكالية تمام فيها استفسار هنا؟بنشوف الجواب
+
+281
+00:22:07,210 --> 00:22:10,150
+التاني .. المقلب التاني بده جوا .. نقطة جوا يا
+
+282
+00:22:10,150 --> 00:22:15,450
+بابا .. بده هنا نقطة اللوب اللي أنا رسمها بنفح
+
+283
+00:22:15,450 --> 00:22:18,830
+هالجهة لازم يكون النقطة على المحيط .. إذا بداك
+
+284
+00:22:18,830 --> 00:22:21,990
+اللوب صغيرة هالجهة صح ولا لأ .. خطأ اللوب تاني ..
+
+285
+00:22:21,990 --> 00:22:28,010
+بسيطة .. بقول هي السلك .. رجعنالهللنقطة داخل
+
+286
+00:22:28,010 --> 00:22:32,510
+الوير، اللوب الوري في هذه الحالة لديه راديوس R أقل
+
+287
+00:22:32,510 --> 00:22:33,310
+من كابيتل R
+
+288
+00:22:39,110 --> 00:22:43,610
+هذه النقطة عالمية جبت لل loop هنا نفس القضية P is
+
+289
+00:22:43,610 --> 00:22:47,810
+constant لأنها نفس العملية على بعاد متساوية again
+
+290
+00:22:47,810 --> 00:22:52,090
+by symmetry P is constant in magnitude and tangent
+
+291
+00:22:52,090 --> 00:22:54,690
+to the loop at every point in the loop زي ما هنا
+
+292
+00:22:54,690 --> 00:22:58,870
+tangent و ثابتة to find the current المشكلة I
+
+293
+00:22:58,870 --> 00:23:03,610
+enclosedI enclosed كل التيارات بدي اياهم هل كل
+
+294
+00:23:03,610 --> 00:23:06,630
+التيارات اللي انا نصمهم هدول الاسهم بيخترقوا
+
+295
+00:23:06,630 --> 00:23:12,910
+المساحة الصفراء انا بس بدي هدول صح بدي بس هدول
+
+296
+00:23:12,910 --> 00:23:20,070
+اللي جاعدين بيربصوش بيدي اياهم بيخترقوش المساحة طب
+
+297
+00:23:20,070 --> 00:23:22,610
+هل بدي اخد تلاتة و هم يهديوا تلاتة عشوائي ان انا
+
+298
+00:23:22,610 --> 00:23:24,770
+اعمل التلاتة ممكن يكونوا ع دول مية زيهم
+
+299
+00:23:27,710 --> 00:23:30,810
+بدي اخد جزء من كله ولا لا؟ انا بدي اخد جزء من
+
+300
+00:23:30,810 --> 00:23:34,210
+التيار مش كل التيار لأن هذا التيار بدي شياه فبقول
+
+301
+00:23:34,210 --> 00:23:38,610
+لهان بدي شياه بقول لهان بدي شياه بس بدي انا من هال
+
+302
+00:23:38,610 --> 00:23:42,370
+لهان المحصور اذا انا بدي جزء من التيار مش كل
+
+303
+00:23:42,370 --> 00:23:47,150
+التيار في gauss's law لما كنا بنجيب جزء من شحنة
+
+304
+00:23:47,150 --> 00:23:52,230
+ايه كنا نسوي؟ lambda و sigma و rho مظبط ولا لأ؟
+
+305
+00:23:52,230 --> 00:23:55,350
+كنا نروح لل densities في التيار في density خدناها
+
+306
+00:23:55,350 --> 00:23:59,390
+في الشبطة الخامس وحيدةاللي هي مين ذكر للقرن الدي
+
+307
+00:23:59,390 --> 00:24:07,650
+نسيت ايش رمزها القرن J ايه بتساويI على A I على A
+
+308
+00:24:07,650 --> 00:24:11,810
+إذا مافيش N دي إلا J مافيش Lambda ولا Rho بس واحدة
+
+309
+00:24:11,810 --> 00:24:15,730
+بتقابل Sigma منها J بيسوي طيارة على مساحة واش
+
+310
+00:24:15,730 --> 00:24:19,250
+المساحة كانت ال cross-sectional area زي كل ما قلنا
+
+311
+00:24:19,250 --> 00:24:23,390
+مصورة فيها ميه وميه بتخترق مساحات إذا بيقولي to
+
+312
+00:24:23,390 --> 00:24:26,590
+find the current enclosed by the loop we note that
+
+313
+00:24:26,590 --> 00:24:33,350
+Jقال لي جي بالثانوية الطيار ال enclosed على
+
+314
+00:24:33,350 --> 00:24:41,070
+المساحة ال enclosed كيف بتطبح طب هدى جي بدي درساله
+
+315
+00:24:41,070 --> 00:24:50,710
+I total على أي مساحة ساعتها total بتكتب هي طيب مين
+
+316
+00:24:50,710 --> 00:24:55,450
+يقولي كده I enclosed مساحة أي حاجة هناك مش المساحة
+
+317
+00:24:55,450 --> 00:25:00,620
+السافرةطب و المساحة كلها الخضراء اللى بقى ال
+
+318
+00:25:00,620 --> 00:25:07,700
+capital R تربية تم جيه بيساوي I total على E total
+
+319
+00:25:07,700 --> 00:25:11,720
+و E total بيه R تربية الخضراء و بتساوي طبعا ليش
+
+320
+00:25:11,720 --> 00:25:15,640
+بتساوي لإن جيه uniform جيه uniform لإن الطيارة
+
+321
+00:25:15,640 --> 00:25:19,680
+uniformly distributed I enclosed على بيه R تربية
+
+322
+00:25:19,680 --> 00:25:22,740
+بقدر أجيب I enclosed هذه في هذه على هذه مظبوط ولا
+
+323
+00:25:22,740 --> 00:25:26,720
+لأ هاي نطلعتههي I enclosed المشكلة كانت في I
+
+324
+00:25:26,720 --> 00:25:30,440
+enclosed وجبتها جبت جزء من التيار جزء من التيار
+
+325
+00:25:30,440 --> 00:25:33,160
+هيو بعد كده روحت قانون أنبالي بيقول هي قانون
+
+326
+00:25:33,160 --> 00:25:39,400
+أنبالي تكامل B.DL بيساوي ميوناط I enclosed طيب B
+
+327
+00:25:39,400 --> 00:25:45,300
+طلعته برا التكامل ال product روحت لأنه 0 0 وcos 01
+
+328
+00:25:48,060 --> 00:25:54,220
+DL تكامل الـ2π في الـR الـU0 في I enclosed وهي I
+
+329
+00:25:54,220 --> 00:25:59,060
+enclosed طبعا هنا فيه ميو نوت منسية بدي ال I
+
+330
+00:25:59,060 --> 00:26:06,900
+enclosed حطيتها طلعتي جون هاي جون طلع حلص الشعربعد
+
+331
+00:26:06,900 --> 00:26:12,400
+النقطة عن محور .. عن المركز طب سؤالي الآن لو كانت
+
+332
+00:26:12,400 --> 00:26:15,180
+النقطة في المركز بالظبط إيه اللي بيطلع الجواب Zero
+
+333
+00:26:15,180 --> 00:26:20,860
+Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero
+
+334
+00:26:20,860 --> 00:26:23,380
+Zero Zero Zero Zero Zero Zero Zero Zero Zero Zero
+
+335
+00:26:23,380 --> 00:26:28,460
+Zero Zero Zero Zeroهو المركز ايش مشكلته؟ مشكلته
+
+336
+00:26:28,460 --> 00:26:31,680
+انه بيجعب النص فيه عنده كذا واحد لفوق وكذا واحد
+
+337
+00:26:31,680 --> 00:26:34,560
+لتحت هل اللي فوق اكتر من اللي تحت ولا اللي تحت
+
+338
+00:26:34,560 --> 00:26:39,940
+اكتر من اللي فوق؟ جبعت حلو هذا بيعني ان اللي فوق
+
+339
+00:26:39,940 --> 00:26:42,700
+بدي اعطي اتجاه و اللي تحت بدي اعطي اتجاه معاكس ولا
+
+340
+00:26:42,700 --> 00:26:45,410
+لأ؟خلّيني أجرب كل هؤلاء اللي واقفين هنا على
+
+341
+00:26:45,410 --> 00:26:50,050
+الحياطة هاي اتنين، هدور اتنين، فيه طير زيهم بس كل
+
+342
+00:26:50,050 --> 00:26:53,650
+واحد فور، في واحد تحت زيه ولا لأ؟ مين يجيب لاتجاه
+
+343
+00:26:53,650 --> 00:26:56,470
+المجال المناطسي لللي فوجاني عند النقطة في المركز
+
+344
+00:26:56,470 --> 00:27:06,410
+هنا؟ طب وهدي، هدا صح
+
+345
+00:27:06,410 --> 00:27:11,200
+ولا لأ؟ بالغباعة ده لا بالغشفة عاديهل جيت اي اثنين
+
+346
+00:27:11,200 --> 00:27:16,320
+واحد فوق واحد تحت مشابه بيبقوا بعض ولا لأ اذا انا
+
+347
+00:27:16,320 --> 00:27:20,180
+بتوقع عندي السمثر يكون سفر ولا بتوقعش بفور يكون
+
+348
+00:27:20,180 --> 00:27:24,060
+سفر والنتيجة بتعطيني سفر اصلا اذا ال symmetry
+
+349
+00:27:24,060 --> 00:27:28,240
+بيقول لازم عندي السفر تطلع سفر زي ما انا كاتب at r
+
+350
+00:27:28,240 --> 00:27:30,800
+بيتساوي السفر the magnetic field inside the
+
+351
+00:27:30,800 --> 00:27:34,900
+conductor is zero ويكسبلين وقولنا ليش explanation
+
+352
+00:27:34,900 --> 00:27:37,380
+لأن ال symmetry ان every
+
+353
+00:27:43,840 --> 00:27:47,520
+بالتالي الـ total magnetic field at the center
+
+354
+00:27:47,520 --> 00:27:52,690
+must be zeroفي إشكالية إذا هاتجيب طلعناها برا
+
+355
+00:27:52,690 --> 00:27:57,330
+وطلعناها جوا وهي جوا بهذه الصيغة و برا طلعناها ولا
+
+356
+00:27:57,330 --> 00:28:02,010
+واحدة بدنا نحفظها أصلا هذه جاية نتيجة مثال طبقنا
+
+357
+00:28:02,010 --> 00:28:06,590
+قانون empire على ال long wires ال long wire شرطه
+
+358
+00:28:06,590 --> 00:28:10,370
+يكون long بتطبق empires جسير بيدروح أطبق عليه ال
+
+359
+00:28:10,370 --> 00:28:14,640
+bayonet and savard longلازم يكتب لـ long wire او
+
+360
+00:28:14,640 --> 00:28:17,400
+very long او infinitely long غير كده ماقدرش اطبق
+
+361
+00:28:17,400 --> 00:28:22,320
+قانون أمبير شبهك اذا شرط تطبيق قانون أمبير ان يكون
+
+362
+00:28:22,320 --> 00:28:26,380
+كاتب بالمعطيات ان ال wire is very long و الا لا
+
+363
+00:28:26,380 --> 00:28:29,220
+يستطيع تطبيق قانون أمبير طبعا ليش لان هذه لو
+
+364
+00:28:29,220 --> 00:28:33,770
+الحوافهذه مش بعيدة بيكون هنا P is not uniform بأثر
+
+365
+00:28:33,770 --> 00:28:37,530
+على اللوب اللي هنا طول ما انت أطرافه بعيدة بيكون P
+
+366
+00:28:37,530 --> 00:28:41,190
+دوارير زي ما احنا متفقين ومافيش عندي اي إشكالية
+
+367
+00:28:41,190 --> 00:28:46,190
+لكن لما تكون السلك قصير هنا يبطل فيه دوارير بيصير
+
+368
+00:28:46,190 --> 00:28:51,170
+فيه un uniformity موجودة بتأثير وبالتالي P بيبطل
+
+369
+00:28:51,170 --> 00:28:54,730
+نقدر نطلع بلد التكامل وبالتالي لازم السلك يكون
+
+370
+00:28:54,730 --> 00:28:55,190
+طويل
+
+371
+00:28:57,940 --> 00:29:01,140
+النوعين التانيين اللي ينطبق عليهم قانون الانبير من
+
+372
+00:29:01,140 --> 00:29:05,900
+نوعين مهمين من الملفات بدنا نأسس الشغل احنا بدنا
+
+373
+00:29:05,900 --> 00:29:09,640
+نحاول دائما شباب نعمل مناظرة ما بين الكهربية و
+
+374
+00:29:09,640 --> 00:29:15,260
+المغناطيسية حاولنا نعمل قانون بيوتقن صفارت نظر
+
+375
+00:29:15,260 --> 00:29:22,820
+كلوم انبير بنظر جاوس في الكهربا أخدنا حاجة اسمها
+
+376
+00:29:22,820 --> 00:29:28,990
+المكثف ساكلينو ايش مهمة المكثف؟تخزين طاقة عربية في
+
+377
+00:29:28,990 --> 00:29:34,150
+حال .. خلّنا نقول جهاز يناظر المكثف المغناطيسية هو
+
+378
+00:29:34,150 --> 00:29:40,630
+الملف الملف مهم تخزين طاقة مغناطيسية المكثف اكثر
+
+379
+00:29:40,630 --> 00:29:44,730
+نوع اخدناه تلاتة ذاكرينهم البرالي بريد كاباسيتر
+
+380
+00:29:45,630 --> 00:29:49,490
+والاسطواني الكراوي والبراري ال blade capacitor C
+
+381
+00:29:49,490 --> 00:29:53,890
+بيسوي Y node A على D ويقول إن هذا الوحيد اللي بدنا
+
+382
+00:29:53,890 --> 00:29:58,630
+نحفظه ورمز المكفف أخده منه، ماشي أكمل صموه في
+
+383
+00:29:58,630 --> 00:30:01,490
+الدعية لأ؟ هاي البراري ال blade capacitor تعالي
+
+384
+00:30:03,330 --> 00:30:08,410
+جهاز يخزن طاقة كعربية سمينا المكثف جهاز يخزن طاقة
+
+385
+00:30:08,410 --> 00:30:13,350
+مغناطسية سمينا الملف في عندي نوعين مشهورين من
+
+386
+00:30:13,350 --> 00:30:17,030
+الملفات اللي هناخدهم solenoid و autoroid اول حاجة
+
+387
+00:30:17,030 --> 00:30:21,070
+رمز الملف الدائرة خدناه من حاجة بيسموها solenoid
+
+388
+00:30:21,070 --> 00:30:24,150
+ال solenoid هو الحلزوني الملف الحلزوني بيسموه
+
+389
+00:30:24,150 --> 00:30:29,970
+solenoid solenoid هذا هو ال solenoid هذا الملف هذا
+
+390
+00:30:29,970 --> 00:30:35,700
+هوحدثوني طبعا هنا بيكون اما فرعق او بيكون حديد مش
+
+391
+00:30:35,700 --> 00:30:41,400
+مشكلة عندي اش يكون الوسط طبعا لما يكون الوسط فرعق
+
+392
+00:30:41,400 --> 00:30:45,100
+بيكون هذه ميونوت اذا هذه مش ميونوت بيضربها بفئة
+
+393
+00:30:45,100 --> 00:30:48,020
+كعبة ذاكرينها ميونوت بيضربها دي مالي دعوة بس لإن
+
+394
+00:30:48,020 --> 00:30:51,520
+دي بتحرس ما موجودة فيها انا بدي الوسط فرعق هكذا
+
+395
+00:30:51,520 --> 00:30:54,880
+تمام مش هو السولينويت بيقول يا السولينويت is a
+
+396
+00:30:54,880 --> 00:30:59,940
+long wire wound in the form of a helixوصمته زرعيا
+
+397
+00:30:59,940 --> 00:31:03,400
+شكلها helix ما هو الحوزون helix تمام around the
+
+398
+00:31:03,400 --> 00:31:05,880
+surface of a cylindrical form طبعا عشان اجيب helix
+
+399
+00:31:05,880 --> 00:31:09,720
+باجيب سيليكو بلفه على شكل استواني بطلع helix هذا
+
+400
+00:31:09,720 --> 00:31:13,360
+ملف سمته solenoid بقولي بدك تجيبلي شفدة المجال
+
+401
+00:31:13,360 --> 00:31:17,440
+المغناطيسي له باستخدام قانون امبير بقولي مش كل
+
+402
+00:31:17,440 --> 00:31:20,920
+solenoid تستخدم قانون امبير له تمام شوف الشوة ال
+
+403
+00:31:20,920 --> 00:31:23,800
+solenoid اللي بستخدمها usually بيقولي عادة في
+
+404
+00:31:23,800 --> 00:31:27,720
+الملفاتاللفات بتكون جريبة على بعض ولا بعيد على
+
+405
+00:31:27,720 --> 00:31:31,740
+بعض؟ جريبة على بعض كتير إذا ما تكون اللفات شباب
+
+406
+00:31:31,740 --> 00:31:33,900
+جريبة على بعض بقدر أعتبر الـSolenoid عبارة عن
+
+407
+00:31:33,900 --> 00:31:37,620
+رنجات فوق بعض ولا لأ؟ عبارة عن رنجات فوق بعض لو
+
+408
+00:31:37,620 --> 00:31:39,720
+بيطلش تستخدم القانون الأنبياء كيف بيطلش تستخدمها؟
+
+409
+00:31:39,720 --> 00:31:42,580
+يقولّي أنت الـRing الواحدة جيبتيلها ولا لأ؟ حلينا
+
+410
+00:31:42,580 --> 00:31:46,480
+مثال عن رنج الشباب لما كانت النقطة هنا صح هدر رنج
+
+411
+00:31:46,480 --> 00:31:51,700
+فمثل ما يكون عدة رنجات الـRing عنصر كامل بتفنق بيه
+
+412
+00:31:52,590 --> 00:31:55,990
+كامل بالطبع لو عندك عشرة rings بتجيب بيه رنك و
+
+413
+00:31:55,990 --> 00:31:59,070
+بتطرف في العشرة او بتعمل .. بتجيش معاكم على اعتبار
+
+414
+00:31:59,070 --> 00:32:02,970
+ان بيه is the same direction لكن بيقولني في بعض
+
+415
+00:32:02,970 --> 00:32:06,530
+السيليوناويد بيسميه ال ideal سيليوناويد بيكون
+
+416
+00:32:06,530 --> 00:32:11,430
+الطول تبقى كبيرخصوصا الـ tails هم مجرد مجرد مجرد
+
+417
+00:32:11,430 --> 00:32:12,030
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+418
+00:32:12,030 --> 00:32:20,310
+مجرد مجرد مجرد مجرد
+
+419
+00:32:20,310 --> 00:32:29,670
+مجرد مجرد
+
+420
+00:32:32,420 --> 00:32:37,900
+بقول نحن نعتبر هذا الآن غالبا الطول من السولينويد
+
+421
+00:32:37,900 --> 00:32:45,560
+هو أكتر من قطر السولينويد السولينويد هو أكتر من
+
+422
+00:32:45,560 --> 00:32:50,900
+قطر السولينويد السولينويد
+
+423
+00:32:50,900 --> 00:32:52,920
+هو أكتر من قطر السولينويد السولينويد هو أكتر من
+
+424
+00:32:52,920 --> 00:32:54,400
+قطر السولينويد السولينويد هو أكتر من قطر
+
+425
+00:32:54,400 --> 00:32:54,480
+السولينويد السولينويد هو أكتر من قطر السولينويد
+
+426
+00:32:54,480 --> 00:32:55,500
+السولينويد هو أكتر من قطر السولينويد السولينويد هو
+
+427
+00:32:55,500 --> 00:32:58,460
+أكتر من قطر السولينويد السولينويد هو أكتر من قطر
+
+428
+00:32:58,460 --> 00:33:00,400
+السولينويد السولينويد هو أكتر من قطر السولينويد
+
+429
+00:33:00,400 --> 00:33:02,410
+السولينويد هو أكتر من قطر الستمام ال idea
+
+430
+00:33:02,410 --> 00:33:06,470
+السيمونودي اتفقنا ايش مشكلته انه طويل جدا و القطر
+
+431
+00:33:06,470 --> 00:33:11,550
+صغير جدا يعني لو انا كان في عندي أسطوانة زي هيك
+
+432
+00:33:11,550 --> 00:33:15,270
+طويلة
+
+433
+00:33:15,270 --> 00:33:21,570
+جدا هذه اللي هي بتسميها R تقول الاسفر هي معانا
+
+434
+00:33:21,570 --> 00:33:26,690
+صغيرة جدا صح ولا لأ طيب هذا أسطوانة بدلوف حولها
+
+435
+00:33:26,690 --> 00:33:31,850
+سلك بدلوف حولها سلك هيك شباب تمامالسلك بدى يحمل
+
+436
+00:33:31,850 --> 00:33:34,730
+تيار تيار هيك ماشى لو اطلع طول على هذا الجانب
+
+437
+00:33:34,730 --> 00:33:41,090
+الطيار كيف يكون اتجاهه كله هيك الطيار ماشى هيك
+
+438
+00:33:41,090 --> 00:33:46,050
+بيكون خالد ولا لأ و هنا داخل هيك بيكون طيار ماشى
+
+439
+00:33:46,050 --> 00:33:50,070
+هيك و هيك مظبوط ولا لا عشان اللوف طب انا بدى اركض
+
+440
+00:33:50,070 --> 00:33:53,070
+ع شغلتين بدرسهم هذا الطرف و هذا الطرف بدرسهم
+
+441
+00:33:53,070 --> 00:33:58,190
+طيارات جاية عليكم احنا كنا هيك و اطرفها ده هيك اذا
+
+442
+00:33:58,190 --> 00:34:00,530
+هذه بدى استبدلها الشباب ممكن هيك
+
+443
+00:34:05,520 --> 00:34:10,220
+و هان و
+
+444
+00:34:10,220 --> 00:34:14,480
+هكذا كل اللفات مظبوط و لا؟ هذا السلك هيك ماشي طيب
+
+445
+00:34:14,480 --> 00:34:19,560
+أنا بدي أجيب بيه برا وجوا خليني أشوف برا هنا بدي
+
+446
+00:34:19,560 --> 00:34:23,540
+بيه هنا حاجة بيه هنا من أين جاء يا شباب من هذا
+
+447
+00:34:23,540 --> 00:34:26,300
+السلك و من هذا السلك و من هذا السلك و من هذا السلك
+
+448
+00:34:26,300 --> 00:34:30,160
+مظبوط و لا؟ و كأنه خليني أقرأ اتجاه هذا مين يقول
+
+449
+00:34:30,160 --> 00:34:31,740
+لي من هذا السلك كيف اتجاه بيه؟
+
+450
+00:34:35,370 --> 00:34:40,110
+نازل نتحت هذا ال B تبقى ال right طب و تبقى ال left
+
+451
+00:34:40,110 --> 00:34:48,110
+لا فوق هذا ال B تبقى ال left ال total B بيجمع ولا
+
+452
+00:34:48,110 --> 00:34:54,210
+بطرح عكس بقيت هدول صح؟ بدي اطرح كمقادير بدي اطرح
+
+453
+00:34:54,210 --> 00:34:58,250
+يعني انت تتوقع ان ال B هنا تكون جليلة ولا كبيرة
+
+454
+00:34:58,250 --> 00:35:04,320
+مقتش بتسوي سفرلما هدى تسوى هدى صح ولا لأ؟ إيش مفرق
+
+455
+00:35:04,320 --> 00:35:08,960
+هدى عن هدى؟ المسافة هدى طب لو هدى تكون تقلل ال
+
+456
+00:35:08,960 --> 00:35:12,300
+zero بصير هدى تقريبا بسوى هدى ولا لأ؟ إذا إذا كده
+
+457
+00:35:12,300 --> 00:35:18,280
+إيش بتطلع بيه هنا؟ سفر نجي لبقى جوا من
+
+458
+00:35:18,280 --> 00:35:25,200
+الراية كيف تكون اتجاهه؟ لفوق بي write طب من هدى؟
+
+459
+00:35:25,200 --> 00:35:32,620
+لفوق في كنيه يكون zero؟ لأإذاً بي جوا له قيمة بي
+
+460
+00:35:32,620 --> 00:35:36,360
+برا ضعيف عشان كده تطلعوا كيف بي برا بتعملها عامل
+
+461
+00:35:36,360 --> 00:35:39,400
+خطين شوفوا كم خط جوا إذا كنتوا شايفينها هنا بي
+
+462
+00:35:39,400 --> 00:35:44,320
+كثيف لأنه هنا بي كبير و هنا نفس العملية كثيف جدا
+
+463
+00:35:44,320 --> 00:35:48,440
+إذا بي جوا له قيمة و بي برا كنتوا ضعيفة بيقولون
+
+464
+00:35:48,440 --> 00:35:51,630
+إذا قاعد ياسونيوية ضعيف بدي أعتبره سفرده هتفرق
+
+465
+00:35:51,630 --> 00:35:54,250
+السفر ليش؟ لإن بيقولني أصلا هذا الفرق بين هذا و
+
+466
+00:35:54,250 --> 00:35:56,410
+هذا هي المسافة و ماذا هي المسافة هي اللي تقولني
+
+467
+00:35:56,410 --> 00:36:00,690
+السفر فهذا تقريبا بيساوي هذا إذا بيه جديش برا إذا
+
+468
+00:36:00,690 --> 00:36:04,970
+المعلومة بينا نحفظها و نفهمها إن بيه برا السلينويد
+
+469
+00:36:04,970 --> 00:36:09,370
+جديش فرقاج السلينويد نجي لل capacitor نقول جديش E
+
+470
+00:36:09,370 --> 00:36:14,780
+هنا ذاكرينها؟ و جديش E هنا؟كانت E هنا uniform
+
+471
+00:36:14,780 --> 00:36:19,080
+وبتساوي sigma على epsilon note إذا كنتوا ذاكرينها
+
+472
+00:36:19,080 --> 00:36:23,560
+إذا E uniform هنا بيه نفس القضية بيه برا صفر و جوا
+
+473
+00:36:23,560 --> 00:36:28,400
+uniform الخطوط تقريبا موازية وين تبتدأ؟ وين الشباب
+
+474
+00:36:28,400 --> 00:36:31,840
+عندهم أطراف؟ شايفين كيف؟ هنا الخطوط بتكون تقريبا
+
+475
+00:36:31,840 --> 00:36:34,900
+متوازية هنا بتبدأ تميل عشان كده لما الأطراف تكونوا
+
+476
+00:36:34,900 --> 00:36:38,820
+بعيدة عني بدي اعتبر بيه جوا uniform بدي اعتبر بيه
+
+477
+00:36:38,820 --> 00:36:40,920
+جوا uniform إذا بيقول
+
+478
+00:36:43,590 --> 00:36:49,430
+العادية السيلينويت عشان المهمة هذه اتذكروا انا
+
+479
+00:36:49,430 --> 00:36:55,010
+لعبتكم ايه يعني تمامfor such a solenoid الideal
+
+480
+00:36:55,010 --> 00:36:58,670
+سولينويد شباب الideal سولينويد الideal سولينويد
+
+481
+00:36:58,670 --> 00:37:02,510
+فيه لخصيتين لفاته جراب على بعض كتيرة يعني كتير
+
+482
+00:37:02,510 --> 00:37:07,370
+لفاته وطوله أكبر من قطره بكتير يعني قطره يون إلى
+
+483
+00:37:07,370 --> 00:37:11,690
+سفر for such a solenoid the magnetic field outside
+
+484
+00:37:11,690 --> 00:37:17,810
+سفر ذاكرين؟ سفر بالغباية and uniform inside وجوه
+
+485
+00:37:17,810 --> 00:37:21,520
+ال uniform تمام؟بدي اوجد شديد المجان المغناطيسي
+
+486
+00:37:21,520 --> 00:37:25,980
+لان اجيبه برا ولا جوا لان برا بده سفر خلص اتقيمته
+
+487
+00:37:25,980 --> 00:37:31,320
+بدي اجيبه برا جوا لان طيب هذا السولينويد هي رسمته
+
+488
+00:37:31,320 --> 00:37:35,200
+ممكن استعيد عنه منها هيك تمام بدي اجيب منشطر لان
+
+489
+00:37:35,200 --> 00:37:39,340
+اقصه من هنا بيبينلي هذا و اقلبه هيك عشان اعرف
+
+490
+00:37:39,340 --> 00:37:43,200
+اشتغل عليه بدي اجيبه جوا يعني بدي انا اشق بطنه
+
+491
+00:37:43,200 --> 00:37:48,870
+السولينويد بدي بطنه هى بطنههذا الـ solenoid جيبته
+
+492
+00:37:48,870 --> 00:37:53,810
+هناك و جيبت منشر و عملت مقطع طبعا السلك كيف ماشي
+
+493
+00:37:53,810 --> 00:37:56,870
+الطيار؟ ماشي هيك و طالع هيك .. ماشي هيك و طالع هيك
+
+494
+00:37:56,870 --> 00:38:00,230
+.. تمام؟ و قصته .. اه انا أشتغل عليه .. وين بده
+
+495
+00:38:00,230 --> 00:38:03,310
+المجال؟ قال لي بدي نقطة هنا .. هي inside .. مش هذي
+
+496
+00:38:03,310 --> 00:38:08,290
+النقطة inside .. هنا كدهش بيه؟ و هنا؟ سفر .. نجي
+
+497
+00:38:08,290 --> 00:38:10,790
+لليه اتجاه هذا الشباب .. مين يقولي جيبليه؟ اتجاه
+
+498
+00:38:10,790 --> 00:38:16,290
+بيه .. هان .. هي الطيار .. هي .. هي اتجاهه ..أو
+
+499
+00:38:16,290 --> 00:38:21,570
+هذا التجاه
+
+500
+00:38:21,570 --> 00:38:27,850
+بي هذا التجاه بي الخطوط متوازية لان انا قاعد جالس
+
+501
+00:38:27,850 --> 00:38:34,530
+في النقطة هذا التجاه بي تمام بي is uniform جوا بس
+
+502
+00:38:34,530 --> 00:38:39,150
+برا zeroجالي اذا في uniform اذا انت جربت ممكن
+
+503
+00:38:39,150 --> 00:38:41,770
+تطبيق قانون الأنبياء بس باكتنين بيه؟ لازم تختار
+
+504
+00:38:41,770 --> 00:38:46,310
+loop لو اخترت loop دويرة شباب انا بدي شدت المجال
+
+505
+00:38:46,310 --> 00:38:51,070
+اللي مطيسة عند النقطة دي قال هاي loop مش هاد ال
+
+506
+00:38:51,070 --> 00:38:55,960
+loop دويرة، هاي ال loop هل بيثبت عليها؟مش بره صفر
+
+507
+00:38:55,960 --> 00:38:59,860
+و جوا فيه قيمة هاد اللوب متنفع كاش طب هو ربنا
+
+508
+00:38:59,860 --> 00:39:04,280
+ماخال جريشه مغلقة للدويرة؟ لأ خلانا مستطيل ولا لأ
+
+509
+00:39:04,280 --> 00:39:09,560
+قال هذا اللوب متنفع كاش خد مستطيل ليش؟ طب ليش
+
+510
+00:39:09,560 --> 00:39:13,500
+افرجت معاك؟ قال ليه بتفرج معايا كتير اللوب اكم ضنع
+
+511
+00:39:13,500 --> 00:39:18,980
+لهاالدائرة كان ضلع شباب إلها، ضلع واحد المستطيل،
+
+512
+00:39:18,980 --> 00:39:22,880
+اربع، اللوب مشكلتك في التكامل، مافيش عندك إلا
+
+513
+00:39:22,880 --> 00:39:26,740
+تكامل واحد، ماقدرش تطلع بيه، بتضلك ملزق، ماقدرش
+
+514
+00:39:26,740 --> 00:39:32,660
+تتعاملالمستطيل التكامل بتجسمه اربع تكاملات و بيصير
+
+515
+00:39:32,660 --> 00:39:35,960
+كل تكامل يتعامل معاه على حده او ممكن ينحل مشكلتك
+
+516
+00:39:35,960 --> 00:39:40,840
+تمام اذا بيقولي to calculate the internal magnetic
+
+517
+00:39:40,840 --> 00:39:45,000
+field بيجيب الآية magnetic field جواني we can
+
+518
+00:39:45,000 --> 00:39:49,120
+apply Ampere's law to the rectangular loop اذا انا
+
+519
+00:39:49,120 --> 00:39:56,800
+أخدت loop مستطيل انهي A B C D وبرجع Aهذه ال loop
+
+520
+00:39:56,800 --> 00:40:01,920
+تبعتي عارفين ليش الديارة مابتنفعش؟ جمعني ليش
+
+521
+00:40:01,920 --> 00:40:05,660
+الديارة مابتنفعش؟ لأن P is not constant on the
+
+522
+00:40:05,660 --> 00:40:12,640
+length of the loop تمام طيب بقولي هاي القانونة في
+
+523
+00:40:12,640 --> 00:40:15,120
+gauss's law إيش كان الفرق ما بين تاخد سطح gauss
+
+524
+00:40:15,120 --> 00:40:19,700
+قراوي أو أستوانة في القرأة كان سطح إلها؟واحد
+
+525
+00:40:19,700 --> 00:40:23,520
+الاصطناع اللي كنت تسويه تجسمها لتلاتة وتتعامل مع
+
+526
+00:40:23,520 --> 00:40:27,020
+كل واحدة على حدة ولا لأ انت ما تقول بيسه و بيسه و
+
+527
+00:40:27,020 --> 00:40:30,680
+كرت هنا بقالك هذا التكامل بنفع تاخده مرة واحدة
+
+528
+00:40:30,680 --> 00:40:39,720
+بالجسم لها كم؟ أربعة تكاملات من A لB من B لC من C
+
+529
+00:40:39,720 --> 00:40:44,560
+لD و من D لE هاي الأربعة أضلها طيب جالك يا الله
+
+530
+00:40:44,560 --> 00:40:48,080
+أشتغل إذا أي تكامل فيهم غلبك مانت ماتقعدش تشغل غلط
+
+531
+00:40:49,190 --> 00:40:52,810
+أول تقامه مريحني .. كدش بيه هنا؟ اذا جينا كده
+
+532
+00:40:52,810 --> 00:40:55,890
+اتدلق اقول تقامله الله صحيح عليه .. وينه من انصلة
+
+533
+00:40:55,890 --> 00:41:00,990
+دي؟ من انصلة دي؟ الله صحيح عليه .. ليش؟ عشان بيه
+
+534
+00:41:00,990 --> 00:41:05,750
+بتساوي سفر .. طيب هاد غنيب .. هاد بيه مش ثابت عليه
+
+535
+00:41:05,750 --> 00:41:10,470
+.. هنا هنا قيمة .. هنا سفر .. لكن ريحني .. لأجلك
+
+536
+00:41:10,470 --> 00:41:13,870
+لأطلع بيه و يتغلب حالك .. مش بيه هيك اتجاهه شباب
+
+537
+00:41:13,870 --> 00:41:18,320
+.. و دي ال هيك اتجاهه .. مديش الزاويةو جديش كسر
+
+538
+00:41:18,320 --> 00:41:21,540
+التسعين، إذا الله سحر عليه، أنا هطلع برا و أنا
+
+539
+00:41:21,540 --> 00:41:28,800
+خلّيه جوا، وهذا .. هذا زي ما أنا زيه، الله سحر
+
+540
+00:41:28,800 --> 00:41:35,200
+عليهماذا قالوا؟ ده الدلع الجوه .. الدلع اللي جوه
+
+541
+00:41:35,200 --> 00:41:38,800
+بيه uniform ولا مش uniform عليها؟ أصلا uniform
+
+542
+00:41:38,800 --> 00:41:42,340
+يعني ثابتة طلعها برا طلعناها ده اللي مضبط البرودات
+
+543
+00:41:42,340 --> 00:41:46,920
+من a ل b هاي الاتجاه و بيه هاي الاتجاه دلش الزاوية
+
+544
+00:41:46,920 --> 00:41:52,260
+ال zero و قصان ال zero واحد اذا كنت كاملات حلت كنت
+
+545
+00:41:52,260 --> 00:42:01,130
+كاملات حلتfor the portions B C B C and D A
+
+546
+00:42:01,130 --> 00:42:07,990
+العموديات شباب B C و D A B شدة المجال المغناطيسي
+
+547
+00:42:07,990 --> 00:42:12,470
+is perpendicular to D A العمودي على طول السلك على
+
+548
+00:42:12,470 --> 00:42:17,570
+طول ال loop and for the portions C D والفجاني
+
+549
+00:42:17,570 --> 00:42:22,610
+الدلق الفجاني قدش B عليه سفر معناته بيقوللي هذا
+
+550
+00:42:22,610 --> 00:42:29,730
+روحو هاد روح و هاد روح طبعا هدول روحوا عشان التعمد
+
+551
+00:42:29,730 --> 00:42:34,690
+و هاد روح عشان ايش؟ عشان B0 المهم روحوا، مش السبب
+
+552
+00:42:34,690 --> 00:42:37,590
+مش مهم، لكن مهمني أعرف شويه السبب، لكن في النهاية
+
+553
+00:42:37,590 --> 00:42:42,900
+أنا بهمني روحه، أكتر من ذلك ارتكاب مرضالبقال دلش
+
+554
+00:42:42,900 --> 00:42:48,200
+هنا من a ل b بس من a ل b بقول for the portion a,b
+
+555
+00:42:48,200 --> 00:42:55,900
+,b,B موازي للطول صح يعني ال product روحت and its
+
+556
+00:42:55,900 --> 00:42:59,060
+magnitude is constant لأنه قال لي ال ideal
+
+557
+00:42:59,060 --> 00:43:03,100
+solenoid بيجوه uniform هو أصلا صرت معلومة عندي بي
+
+558
+00:43:03,100 --> 00:43:08,540
+is uniform قال لي حلو صرت هيكطلّع التكامل الـB
+
+559
+00:43:08,540 --> 00:43:12,720
+بيبقى تكامل، جوا التكامل صار الـDL، الطول الـDL هو
+
+560
+00:43:12,720 --> 00:43:18,040
+عطني دول قداش الـL، حطيت الـL المشكلة في I
+
+561
+00:43:18,040 --> 00:43:24,260
+enclosed ماعرفش أرقصهم اللي جوا و اللي برا، وين I
+
+562
+00:43:24,260 --> 00:43:28,480
+enclosed أنا هال gate؟ إيش بده التيار اللي داخل؟
+
+563
+00:43:28,480 --> 00:43:31,440
+هناك كانت في عندي مساحة سفرة، ذاكرينها؟ اشيلي
+
+564
+00:43:31,440 --> 00:43:32,780
+مساحة سفرة هنا، هتكون محلها
+
+565
+00:43:35,590 --> 00:43:39,470
+المساحة الصفراش كايتمثل المساحة اللى حددتها مين ال
+
+566
+00:43:39,470 --> 00:43:44,350
+loop طب اللو باش هيها انا بدي المساحة دى اش فيها
+
+567
+00:43:44,350 --> 00:43:48,890
+طيارات بتخترق و بدك اتعدها صح ولا لأ طيب هذا
+
+568
+00:43:48,890 --> 00:43:56,510
+الطيار بيخترق طب هذا هذا هذا و هذا بدك تعد هدول
+
+569
+00:43:56,510 --> 00:44:01,090
+هدول اش بيمثلوا عدة لفات ولا مش عدة لفات طب اخترق
+
+570
+00:44:01,090 --> 00:44:06,380
+مرة واحدة ولا عدة مرات بيخترج يعيدهذه المرة وهذه
+
+571
+00:44:06,380 --> 00:44:10,920
+كمان مرة اذا معناته I في عدد اللفات اللي محصورة
+
+572
+00:44:10,920 --> 00:44:17,800
+منها اللهام اذا I enclosed بسوى كذا I كذا I حسب
+
+573
+00:44:17,800 --> 00:44:22,200
+حدد اللفات طبعا كام نفس هدول الله أعلم كتبر اللوب
+
+574
+00:44:22,200 --> 00:44:26,120
+تبعتك بكتبر اللفات زغير اللوب تبعتك بزغير اللفات
+
+575
+00:44:26,120 --> 00:44:32,340
+اعتبرهم capital M عدد اللفات اذا بيقول ليهالحركة
+
+576
+00:44:32,340 --> 00:44:38,700
+التي تتجاوز الجسد و تتجاوز اللوب هي I مضروف في عدد
+
+577
+00:44:38,700 --> 00:44:41,460
+اللفات المحصورين باللوب
+
+578
+00:44:49,270 --> 00:44:53,010
+طبعا عشان عدد لفات مش معروفين عشوائيين بمعنى أخر
+
+579
+00:44:53,010 --> 00:44:56,590
+يعني كل واحد له عدد لفات بحسب اللوب تبعته انا هذه
+
+580
+00:44:56,590 --> 00:45:00,970
+اللوب عملت اتنين اربع ستة تمانية لو زغرت اللوب
+
+581
+00:45:00,970 --> 00:45:04,270
+ممكن يطلع اربع او خمسة صح ولا لا كبرت اللوب شويه
+
+582
+00:45:04,270 --> 00:45:07,030
+ممكن يطلع عشرة فبدي اعتبر هدول اللفات عددهم
+
+583
+00:45:07,030 --> 00:45:10,990
+capital N فبدي اسمي I enclose capital N في I
+
+584
+00:45:10,990 --> 00:45:12,390
+متفقين؟
+
+585
+00:45:16,310 --> 00:45:20,770
+بِL بصامورة من الـ I enclosed سميتها N في I عدد
+
+586
+00:45:20,770 --> 00:45:28,850
+اللفات جيب بي طلعت إيش هذه N على L كبرة L كبرة N
+
+587
+00:45:28,850 --> 00:45:34,490
+ولا لأ ال طول النوب طب زخر L إيش مصير فين؟ طب كده
+
+588
+00:45:34,490 --> 00:45:38,830
+تقول إن هدي على هدي نسبة ثابتة ولا لأ؟سموها small
+
+589
+00:45:38,830 --> 00:45:44,130
+m هي عدد اللفات لكل واحدة الطول كل solenoid بيقول
+
+590
+00:45:44,130 --> 00:45:49,090
+لك لفاته بتساوي 100 لفة لكل متر هيك بعطيكيها يعني
+
+591
+00:45:49,090 --> 00:45:53,470
+ال solenoid ايه الصفة اتصالات solenoid بدي انا جدش
+
+592
+00:45:53,470 --> 00:45:58,830
+طوله و بدي جدش تياره و بدي جدش قطه مظبوط ولا لأ؟
+
+593
+00:45:59,470 --> 00:46:04,370
+بديش لفات و بيقولكاش في مليون لفة لأ بيقولك هذا في
+
+594
+00:46:04,370 --> 00:46:07,350
+كذا لفة لكل متر بصير ان انت بتحصل على كام متر و
+
+595
+00:46:07,350 --> 00:46:09,630
+بتعرف أكتر من اللفات الكلية فصلاة الصفة اللي
+
+596
+00:46:09,630 --> 00:46:13,890
+بيعتوها يا شباب هي small n بيقولك سنونت في كذا لفة
+
+597
+00:46:13,890 --> 00:46:18,410
+لكل متر كذا لفة لكل متر ايش بيوصل فيها؟ N هجيت هذا
+
+598
+00:46:18,410 --> 00:46:24,890
+القانون بيعتمد على بعض النقطة من هنا انا جبت هنا
+
+599
+00:46:24,890 --> 00:46:29,890
+انا جبت هنا ولا هنا ولا هنا ولا هنا تفرجتفرقش صح
+
+600
+00:46:29,890 --> 00:46:33,670
+ولا لأ؟ تفرقش لأنه uniform وهي طلعت من هالجاعة
+
+601
+00:46:33,670 --> 00:46:37,090
+بجهد النقطة مازال انت جوا برا طبعا صفر احنا مالنا
+
+602
+00:46:37,090 --> 00:46:41,670
+الجاعة اما جوا عند اي نقطة جوا نفس القيمة لإن هى
+
+603
+00:46:41,670 --> 00:46:47,610
+بتاعتها تعتمد على اكس ورقة ميو نوت ثابت ان عدد
+
+604
+00:46:47,610 --> 00:46:51,430
+اللفات لكل واحدة الطول ثابت لسلول واحد وI ثابتة
+
+605
+00:46:52,770 --> 00:46:56,310
+where n is the number of turns per unit length
+
+606
+00:47:03,590 --> 00:47:07,450
+الان اللى بدنا نعرفه بالنسبة للسترينويد بدنا نحفظه
+
+607
+00:47:07,450 --> 00:47:10,690
+ليه شغلتين لان السترينويد بدنا نحفظه الترويد اللى
+
+608
+00:47:10,690 --> 00:47:13,510
+وراه بدنا إيش نحفظه زى الcapacitor البرادر بليد
+
+609
+00:47:13,510 --> 00:47:15,890
+الcapacitor كله بدنا نحفظه ال spherical و
+
+610
+00:47:15,890 --> 00:47:17,870
+الcylindrical محفظة هم ليش لكن كنا عارفين كيف
+
+611
+00:47:17,870 --> 00:47:22,030
+نشتاقهم مظبوط ولا لأ هذه السترينويد أنا بس المطلوب
+
+612
+00:47:22,030 --> 00:47:25,190
+مني أحفظ الideal استرينويد الideal استرينويد في
+
+613
+00:47:25,190 --> 00:47:31,140
+عنده صفتين بيبرر الديشزيرو جوا uniform و قداش
+
+614
+00:47:31,140 --> 00:47:35,720
+قيمته ميو نوت انف الاي هالي بنحفظه uniform و قيمته
+
+615
+00:47:35,720 --> 00:47:39,260
+قداش فهو القانون شده في المجال المناطيسي جوا
+
+616
+00:47:39,260 --> 00:47:44,290
+السيرينويد بده نحفظه ميو نوت انف الايمؤقتا بيكون
+
+617
+00:47:44,290 --> 00:47:47,850
+معروف يعني لإنه مشهور عشان كده رمز الملف شباب
+
+618
+00:47:47,850 --> 00:47:51,550
+أخدوه من ال solenoid ال solenoid هو الرمز لإن احنا
+
+619
+00:47:51,550 --> 00:47:56,450
+بيعمل الملف لما يكون في عندي دائرة فاني أسميها هاي
+
+620
+00:47:56,450 --> 00:48:01,170
+مقارنة هاي capacitor و بيعمل هيك هاي ملف هذه
+
+621
+00:48:01,170 --> 00:48:07,550
+بيسموها R هذه C وهذه L بعدين من الجهةفهذا هو
+
+622
+00:48:07,550 --> 00:48:10,810
+السولينويد عشان كده عشان هو مشهور قالوا خلينا
+
+623
+00:48:10,810 --> 00:48:15,330
+نميزه على بجية الملفات انه نحفظ قانونه يعني عشان
+
+624
+00:48:15,330 --> 00:48:20,670
+نبقى مشهور جدا بقى انا الملف التاني اللي مش هنحفظ
+
+625
+00:48:20,670 --> 00:48:24,730
+قانونه بس هنشتق بيه تبعته هو الترويد قال ليش هو
+
+626
+00:48:24,730 --> 00:48:29,090
+الترويد قال لي هو السولينويد بس ايش يتساوي فيه مش
+
+627
+00:48:29,090 --> 00:48:32,170
+السولينويد هيركس قاللي لفوه ييكوا يعملوا دويرة صار
+
+628
+00:48:32,170 --> 00:48:38,520
+ترويدفجيت ملف حلزوني مقس طوانة لفه وعمله بصير
+
+629
+00:48:38,520 --> 00:48:46,880
+دويرة اذا هذا هو ال Troid هذا هو لو جسيت هذا شباب
+
+630
+00:48:46,880 --> 00:48:50,480
+جسيته و عدلته بطلع سنانويت بطلع سنانويت بطلع
+
+631
+00:48:50,480 --> 00:48:55,960
+سنانويت تانى بيقول ال Troid ال Troid is a long
+
+632
+00:48:55,960 --> 00:49:03,340
+wirewent around a donut-shaped structure شكل زي
+
+633
+00:49:03,340 --> 00:49:09,480
+الكعكة، شكل كعكاوي، خلّيني أسميه كعكاوي، كعكاوي،
+
+634
+00:49:09,480 --> 00:49:19,460
+كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي،
+
+635
+00:49:19,460 --> 00:49:22,640
+كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي،
+
+636
+00:49:22,640 --> 00:49:26,580
+كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي،
+
+637
+00:49:26,580 --> 00:49:26,620
+كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي، كعكاوي،
+
+638
+00:49:27,570 --> 00:49:29,830
+الدونات بالفرنسية ما هي الكلمة اظن ان الفرنسية
+
+639
+00:49:29,830 --> 00:49:34,610
+بيصير دونات في اكلة بيسموها ال دونات برضه زي
+
+640
+00:49:34,610 --> 00:49:38,130
+الكعكة بس خبز كعكة و بيحطوا عليه سكر و مش عارف ايش
+
+641
+00:49:38,130 --> 00:49:41,310
+بيسموها ال دونات بس كلمة ال دونات اعتقد انها كلمة
+
+642
+00:49:41,310 --> 00:49:46,610
+فرنسية زيها ال donut تمام it can be considered as
+
+643
+00:49:46,610 --> 00:49:50,870
+a solenoid bent into the shape of a donut بيقول ان
+
+644
+00:49:50,870 --> 00:49:54,210
+هو نفس ال solenoid بس اعمله عشان الكعكة بيصير
+
+645
+00:49:54,210 --> 00:50:02,430
+ترويد المهمبنجيب P الان هذا الشباب بيشبه الكباسيطر
+
+646
+00:50:02,430 --> 00:50:06,970
+الدائري زكي الكباسيطر الدائري خلينا نشوف الكباسيطر
+
+647
+00:50:06,970 --> 00:50:10,470
+الدائري هاي القراء وهاي القراء هذه كانت ال Q وهذه
+
+648
+00:50:10,470 --> 00:50:16,390
+سلبي Q ماشيكوا نقول مين هو اللي مديش E هنا طب و E
+
+649
+00:50:16,390 --> 00:50:21,540
+هنا؟زي المثال يجب أن تكون في الامتحان مظبوط هنا
+
+650
+00:50:21,540 --> 00:50:25,760
+سفر وهنا سفر هنا كان فيه نقيمة فزي الكبسطر هذا كنا
+
+651
+00:50:25,760 --> 00:50:29,440
+نقول هنا سفر وهنا سفر هنا قيمة مظبوط او لا هذا ال
+
+652
+00:50:29,440 --> 00:50:34,020
+truth بشبه الكبسطر الدائري الكراوي الكبسطر الكراوي
+
+653
+00:50:34,020 --> 00:50:42,320
+انا بدي اجيب B هنا وB هنا وB هنا بدي اتأكد ان B
+
+654
+00:50:42,320 --> 00:50:48,780
+هنا سفر وB هنا سفر وB هنا قيمةتمام؟ قبل ما اعمل كل
+
+655
+00:50:48,780 --> 00:50:53,580
+حاجة شباب لو انا اجيت قولتلكم السيناودي اللي انا
+
+656
+00:50:53,580 --> 00:51:00,060
+جبتلكم اياه المرة هذيك شايفين
+
+657
+00:51:00,060 --> 00:51:06,420
+هذا؟ لو اديت لفته هدول ايش بيصير فيهم؟ ايش بيصيروا
+
+658
+00:51:06,420 --> 00:51:10,860
+بشكله؟ loop ولا مش loop؟ اذا بتتوقعوا المجال
+
+659
+00:51:10,860 --> 00:51:14,820
+المغناطيسي يكون عبارة عن loop زي هيك صح ولا لأ
+
+660
+00:51:14,820 --> 00:51:20,190
+عبارة عن rings؟تمام؟ لما نيجي نعمل احنا ال .. ال
+
+661
+00:51:20,190 --> 00:51:24,150
+denote هذا
+
+662
+00:51:24,150 --> 00:51:27,810
+انا فيه عندي تيار طبعا هذه لفات وين بدايتها وين
+
+663
+00:51:27,810 --> 00:51:36,150
+نهايتها خليني انا اشوفهم وين حاططهم مش مبينين هو
+
+664
+00:51:36,150 --> 00:51:38,910
+اللي بدون يجب ان يكون بعد من النقطة ومن تلنا نقطة
+
+665
+00:51:38,910 --> 00:51:43,430
+يعني بدون يكونوا لفين هيك خليني اقول لفين هيك هيك
+
+666
+00:51:43,430 --> 00:51:50,410
+كيف بدي اجيبه؟ بقول بسيطةانا بدي أكون معايا الطيار
+
+667
+00:51:50,410 --> 00:51:54,630
+هيك عامل صح ولا لأ الطيار هال في الطيار في كل
+
+668
+00:51:54,630 --> 00:51:57,970
+أحوال بدي أكون ماشين وهذا هو ماشي معايا انا بدي
+
+669
+00:51:57,970 --> 00:52:03,330
+أمشي حوالي الكعكة اصابع الأربعة بلفهم مع الكعكة
+
+670
+00:52:03,330 --> 00:52:08,270
+اصابع الأربعة بلفهم مع الكعكة لأن اتجاه بيه بيكون
+
+671
+00:52:08,270 --> 00:52:11,370
+هيك هي اتجاه بيه
+
+672
+00:52:14,310 --> 00:52:20,650
+طبعا انا في شغلة لازم نعملها بس نعمل التالي هذا
+
+673
+00:52:20,650 --> 00:52:26,070
+snake شباب هي تياره مين يقول اتجاه المجال
+
+674
+00:52:26,070 --> 00:52:33,610
+المغناطيسي عن النقطة هذ كيف اجيبها للخارج
+
+675
+00:52:33,610 --> 00:52:37,710
+صح ولا لأ للخارج ليش لأن الطيار هيه هي الطيار
+
+676
+00:52:40,770 --> 00:52:50,110
+هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك
+
+677
+00:52:50,110 --> 00:52:54,130
+للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج
+
+678
+00:52:54,130 --> 00:52:54,750
+هيك للخارج هيك للخارج هيك للخارج هيك للخارج هيك
+
+679
+00:52:54,750 --> 00:52:57,410
+للخارج هيك للخارج هيك للخارج هيك للخارج هيك للخارج
+
+680
+00:52:57,410 --> 00:53:02,060
+هيك للخارج هيبعطيك بيه ولا لأ بس هذا بشرطش بأبقى
+
+681
+00:53:02,060 --> 00:53:05,160
+مرهش أديكميها في الأول ان يكون النقطة جوا ال curve
+
+682
+00:53:05,160 --> 00:53:07,580
+مش برا ال curve يعني لما النقطة تكون هنا مينفعش
+
+683
+00:53:07,580 --> 00:53:11,860
+لما يكون هنا عندك curve لو بديك نقطة هنا تبقى خدت
+
+684
+00:53:11,860 --> 00:53:16,720
+شغلها لكن لو نقطة فوق مينفعش تمام هنا بدل من هنا
+
+685
+00:53:16,720 --> 00:53:23,290
+outهنا بمعنى اخر لازم يكون السلك تحت ايديك او هنا
+
+686
+00:53:23,290 --> 00:53:28,310
+فوق ايديك بقى و لا بتلعب كذا ندرها هذه السلك لافف
+
+687
+00:53:28,310 --> 00:53:32,490
+لو السلك شباب بيلف هيك بقدر يعمل صبيعي هيك تلعب
+
+688
+00:53:32,490 --> 00:53:35,670
+ابهامك ايش بيسوي و انت ماشي يمسك الكعكة على كل
+
+689
+00:53:35,670 --> 00:53:40,210
+محيطها ايش ابهامك بيعمل بيعمل مماس على كل الكعكة
+
+690
+00:53:40,210 --> 00:53:43,830
+ولا لأ اذا بيكون عامل دوّير على الكعكة بالظبط
+
+691
+00:53:43,830 --> 00:53:52,200
+بتكون بي بهذا الشكل الآنأنا ماعرفش زبطت معاكم
+
+692
+00:53:52,200 --> 00:53:56,420
+ايديكم حولتهم ولا ماحولتهمش ان بي بتكون هيك شكلها
+
+693
+00:53:56,420 --> 00:54:02,320
+الشباب طبعا حسب السلك لا هيك لا العكس لكن مافيش
+
+694
+00:54:02,320 --> 00:54:08,380
+احتمال اخر هذا بي بيقول to find a magnetic field
+
+695
+00:54:08,380 --> 00:54:12,360
+inside a toroid we can apply Ampere's law to a
+
+696
+00:54:12,360 --> 00:54:16,500
+circular loop of radius R as shown هاي اللوب اللي
+
+697
+00:54:16,500 --> 00:54:17,260
+انا بتاخد
+
+698
+00:54:21,100 --> 00:54:27,140
+طيب بى هيكون ثابت و tangent قطعا from the symmetry
+
+699
+00:54:27,140 --> 00:54:30,300
+the magnetic field lines form concentric circles
+
+700
+00:54:30,300 --> 00:54:33,740
+inside the toroid، طب عنليه ثابت؟ ما هو أنا أخدته
+
+701
+00:54:33,740 --> 00:54:37,300
+في السينايويد جوا ثابت أصلا، وهذا أنت لفته فهو
+
+702
+00:54:37,300 --> 00:54:40,880
+ثابت، بالتالي يجب أن يكون ثابت، this means that B
+
+703
+00:54:40,880 --> 00:54:44,780
+is constant in magnitude along the Amperian loop
+
+704
+00:54:44,780 --> 00:54:48,980
+and directed tangent to ittherefore at a point
+
+705
+00:54:48,980 --> 00:54:53,300
+inside that road .. بنانعمل هالشغلة بس هذا هو هذا
+
+706
+00:54:53,300 --> 00:54:56,160
+قانون الأنبياء اللي مافيش مشكلة فيه بيه طلعتها برا
+
+707
+00:54:56,160 --> 00:55:00,620
+و عمودي ع ال DL طلعت هيك المشكلة في I enclosed
+
+708
+00:55:00,620 --> 00:55:06,180
+شباب المشكلة في I enclosed ارجع ايش الطيارات اللي
+
+709
+00:55:06,180 --> 00:55:10,140
+بدكي اياهم؟ بدكي الطيارات اللي اخترقوا هذه المساحة
+
+710
+00:55:10,140 --> 00:55:13,580
+من هام كلها ال bow bow diesel هذا الأحمر صح ولا
+
+711
+00:55:13,580 --> 00:55:18,950
+لأ؟أيه فيه طيارات بخترقها هيكونها المساحة ولا لأ؟
+
+712
+00:55:18,950 --> 00:55:22,410
+طيب نجري الطيار وكيف عامله هيه عامله هيك شايفين
+
+713
+00:55:22,410 --> 00:55:26,270
+ناسهم يعني من معنى أخر هيك في طيار و هيك في طيار
+
+714
+00:55:26,270 --> 00:55:31,170
+هيك في طيار و هيك في طيار هيك ماشي الطيار هيك و
+
+715
+00:55:31,170 --> 00:55:40,910
+هيك هيك و هيك تمام؟ أه هيك ماشي بالظبط تمام هذا
+
+716
+00:55:40,910 --> 00:55:46,340
+الطيار بالدكية بخترق المساحة ولا بخترقهاش؟والمساحة
+
+717
+00:55:46,340 --> 00:55:50,440
+اللى بتبدأ من هنا لعندها كلها هذا الطيارة بدنايا
+
+718
+00:55:50,440 --> 00:55:57,580
+ولا لأ طيب هذا بدنايا لأ حلو طيب اكم طيار بدي؟ لو
+
+719
+00:55:57,580 --> 00:56:01,980
+عندي 100 لفة اكم طيار بدي؟ 100 لفة اذا بدي عدد
+
+720
+00:56:01,980 --> 00:56:06,180
+الطيارات .. بدي الطيار في عدد اللي لفت صح ولا لأ
+
+721
+00:56:06,180 --> 00:56:10,920
+سؤال الأعمل لو أقولك جيبش B هنا جيب B بس هنا هذه
+
+722
+00:56:10,920 --> 00:56:14,140
+المساحة في طيارة بخلال الخط؟ بقدر أقول B هنا بساوي
+
+723
+00:56:14,140 --> 00:56:21,700
+سفر؟أه مافيش تييرات .. اذا بيه سفر .. طب هنافي
+
+724
+00:56:21,700 --> 00:56:26,080
+طيار فيه ليش؟ لأن المساحة هذه كلها بخترقها الطيار
+
+725
+00:56:26,080 --> 00:56:29,920
+و لا بخترقها عش بس هذا بدياه و هذا بدياه ساعتها
+
+726
+00:56:29,920 --> 00:56:35,100
+هذا in و هذا out بيلغوا بعض ولا بيلغوش إذا برضه
+
+727
+00:56:35,100 --> 00:56:39,820
+بيه برا بتساوي سفر نرجع لل capacitor هذا كان إيه
+
+728
+00:56:39,820 --> 00:56:44,380
+برا سفر و إيه جوا سفر و هنا بيه هنا سفر و بيه هنا
+
+729
+00:56:44,380 --> 00:56:48,260
+سفر هنا سفر في الشيارات هنا فيه طيارات بس بيلغوا
+
+730
+00:56:48,260 --> 00:56:54,400
+بعض زي ما هنافي شحنات لكن هذا لف هذا مفهوم؟ لكن في
+
+731
+00:56:54,400 --> 00:56:58,380
+نقطة هنا ماكانش فيه شحنات أصلا تمام؟ إذا معناته
+
+732
+00:56:58,380 --> 00:57:01,420
+this means that B is constant in magnitude along
+
+733
+00:57:01,420 --> 00:57:04,320
+the imperial loop and directed tangent to it
+
+734
+00:57:04,320 --> 00:57:08,020
+therefore at a point in time بيقول we have صافي
+
+735
+00:57:08,020 --> 00:57:12,820
+عند B في اتنين by A بصومي ونط في عدد اللفات في I
+
+736
+00:57:12,820 --> 00:57:14,020
+وطلعنا
+
+737
+00:57:16,120 --> 00:57:21,660
+طلع نبيه طلعت برضه عشان نظمن تبعين هو إيش جميل جل
+
+738
+00:57:21,660 --> 00:57:26,040
+الترود هو السيلانويد صح ولا لأ أنا إيش طلعت
+
+739
+00:57:26,040 --> 00:57:31,760
+السيلانويد جميل انت طلعتيلي السيلانويد هيك مش هيك
+
+740
+00:57:31,760 --> 00:57:38,640
+صحيح طب يشوف إيش اللي صوّع هذه إشيه على هذه طب هذه
+
+741
+00:57:38,640 --> 00:57:43,770
+مجتمع اعتبرها إيه؟مظبوط ولا لأ؟ و capital N على L
+
+742
+00:57:43,770 --> 00:57:51,530
+مش هي small n نفس النتيجة نفس النتيجة capital N
+
+743
+00:57:51,530 --> 00:57:55,430
+على L مش هي small n و طول السنينويت لما نف وصي
+
+744
+00:57:55,430 --> 00:58:01,450
+المخيط هو اتنين by R فهذه هي بالضبط mu not capital
+
+745
+00:58:01,450 --> 00:58:09,900
+N I على capital N وهذه هي هذه هي نفس ال ..يعني
+
+746
+00:58:09,900 --> 00:58:13,720
+نفسه يعني في النهاية صح الكلاب ان هو سلوك لفته بس
+
+747
+00:58:13,720 --> 00:58:19,600
+هنا طبعا عشان لفته بس في مشكلة في انه بطل uniform
+
+748
+00:58:19,600 --> 00:58:24,180
+لأن الطول جربته ايه في كل احوال فده كان الأطراف
+
+749
+00:58:24,180 --> 00:58:27,060
+بعد عني بس لما لفه الأطراف بطلوا بعدي عني جيبتهم
+
+750
+00:58:27,060 --> 00:58:31,080
+لحالي تمام فببطل uniform فعشان كده يعتمد على R زي
+
+751
+00:58:31,080 --> 00:58:34,880
+ما انت شايفين اما هناك كان لا يعتمد على ايش في ال
+
+752
+00:58:37,040 --> 00:58:39,660
+Note that the current crossing the surface several
+
+753
+00:58:39,660 --> 00:58:43,620
+times equal to the number of turns.بقول ان الطيار
+
+754
+00:58:43,620 --> 00:58:49,200
+هنا بيختلق عدة مرات بعدد اللفات.واضحة.These
+
+755
+00:58:49,200 --> 00:58:52,120
+results show that B is not uniform inside a toroid
+
+756
+00:58:52,120 --> 00:58:55,800
+.The magnetic field outside a toroid is zero.بقول
+
+757
+00:58:55,800 --> 00:58:58,680
+البرا ال toroid سفر.والبرا ال toroid أنا بعني فيه
+
+758
+00:58:58,680 --> 00:59:01,520
+هنا يا شباب.هذا برا ال toroid وهذا برا ال toroid
+
+759
+00:59:01,520 --> 00:59:06,220
+.لأن ال toroid هيو.هذه الملف هي جوا يعني هنا برا
+
+760
+00:59:06,220 --> 00:59:11,240
+يعني هنا و هنا اتفقنا برا ليه سفر اتفقنا هنا لأنه
+
+761
+00:59:11,240 --> 00:59:15,440
+مافيش اصلا I هنا فيه two I's opposite to each
+
+762
+00:59:15,440 --> 00:59:19,680
+other برغوا بعض وبالتالي بي برا الترود سفر وجوا
+
+763
+00:59:19,680 --> 00:59:24,220
+ترود بتساوي مقدار معين نقلي نفور بيعتمد على R
+
+764
+00:59:24,220 --> 00:59:29,120
+والنتيجة اللي هي هذه انا مابديش احفظها اللي هي هذه
+
+765
+00:59:29,530 --> 00:59:32,570
+أنا مش مقلوب مني أحفظها على بعض الطرق لكن مقلوب
+
+766
+00:59:32,570 --> 00:59:36,830
+مني أه كيف أجيبها فيها أيضا استفصال يا شباب أن
+
+767
+00:59:36,830 --> 00:59:40,570
+الأهل الامبيرز ينطبق بس على تمام حالاتالسيركت طويل
+
+768
+00:59:40,570 --> 00:59:44,190
+جدا السولينويد والتيرويد والسولينويد ال ideal دير
+
+769
+00:59:44,190 --> 00:59:48,370
+باكم المش ideal اللي لا ينطبق عليه طبعا المش ideal
+
+770
+00:59:48,370 --> 00:59:51,670
+الشباب اللي بيبقى حلو بيصير معضلة لأنه انا بدي اخد
+
+771
+00:59:51,670 --> 00:59:54,710
+عنصر بيطبقه على قوانين بيطر انصدار لما يكون مش
+
+772
+00:59:54,710 --> 00:59:59,230
+طويل كتير فبتصير كده حلو بدي اعتبر range عنصر
+
+773
+01:00:00,410 --> 01:00:03,930
+النتيجة اللى جبتها بالرنج بدي اعتبرها DB و أكامل
+
+774
+01:00:03,930 --> 01:00:08,290
+طبعا التكامل فيه شوية إشكالية رياضية بياخدوا
+
+775
+01:00:08,290 --> 01:00:10,870
+الطلبة في سنة تالتة كيف يتعاملوا مع الـSolenoid
+
+776
+01:00:10,870 --> 01:00:16,030
+الى نط Ideal وبيشوفوا ان بي في النص يكون Uniform
+
+777
+01:00:16,030 --> 01:00:18,850
+لكن عند الأطراف يبقى Uniform هذه الشغله اللى
+
+778
+01:00:18,850 --> 01:00:23,670
+عملناها لكن احنا مش معنين في النط Ideal Solenoid
+
+779
+01:00:23,670 --> 01:00:26,850
+بس ال Solenoid ال Ideal اللى احنا معنين فيه
+
+780
+01:00:32,770 --> 01:00:37,390
+ماكانش VP، ومع إنه كان في هذا السيري، مش السيري
+
+781
+01:00:37,390 --> 01:00:42,710
+خدع بالأثر علينا، عشان ما في المجال المطمئنسي، لأ
+
+782
+01:00:42,710 --> 01:00:49,330
+ليش جوا مش مدرب؟ هل؟ حلو، هو إيش هو I enclosed؟
+
+783
+01:00:49,330 --> 01:00:54,210
+عرفليها، مش هيعملين طبق قانون بيه dot dl بيسوي من
+
+784
+01:00:54,210 --> 01:00:58,150
+وعيد I enclosed؟ إيش هي I enclosed؟ تخترق إيش؟
+
+785
+01:00:58,150 --> 01:01:04,060
+المصادر تخترقالمساحة اللي حددتها ان بيزلو انت لما
+
+786
+01:01:04,060 --> 01:01:09,300
+تجيب بي هنا هالجد مش هي بيزلو صح؟ اذا ايش بيداك؟
+
+787
+01:01:09,300 --> 01:01:13,100
+بالنسبة لك الطيارات اخترقت هذه المساحة السلك هو
+
+788
+01:01:13,100 --> 01:01:17,460
+الأخمر في اي جزء من السلك جرب على المنطقة هذه؟
+
+789
+01:01:17,460 --> 01:01:23,400
+ماعنديش اي enclosed إذا ماعندي بيزلو انت لما تقول
+
+790
+01:01:23,400 --> 01:01:25,460
+هذه سفر ماعنديش بيزلو
+
+791
+01:01:29,900 --> 01:01:34,780
+لما كنت هنا صار انت بدك الأجزاء اللي هان بتكفي
+
+792
+01:01:34,780 --> 01:01:38,180
+الأجزاء اللي هان وكل الأجزاء اللي هان بيخترقوا
+
+793
+01:01:38,180 --> 01:01:43,840
+باتجاه واحد بيجمعوا لما صار ال loop هان صرت بدك
+
+794
+01:01:43,840 --> 01:01:47,280
+اللي اخترقه هان و اللي اخترقه هان هذا بيخترق into
+
+795
+01:01:47,280 --> 01:01:52,120
+و هذا بيخترق out بيلغوا بعض لكن لما كنت أخدت هنا
+
+796
+01:01:52,120 --> 01:01:58,060
+بس ال out بدك تعده و ال out بتجمع هنا لا في out
+
+797
+01:01:58,060 --> 01:02:03,470
+ولا في intoمرايحين ها بدك هاد اخترق المساحة هاد
+
+798
+01:02:03,470 --> 01:02:06,710
+كلها المساحة هاد اخترق هيك و هاد اخترق هيك
+
+799
+01:02:06,710 --> 01:02:11,830
+وبالتالي ال vaccine بتعد كله فلغوا بعد تمام شباب؟
+
+800
+01:02:11,830 --> 01:02:20,270
+في اي سفسار اخر؟ تمام اخر
+
+801
+01:02:20,270 --> 01:02:24,910
+حاجة ال magnetic flux تعرفوا ال electric flux؟ ال
+
+802
+01:02:24,910 --> 01:02:28,660
+electric flux عارفين؟طيب، هو الـEarthic Flux إيش
+
+803
+01:02:28,660 --> 01:02:32,860
+عرفوه؟ بيقولوا إذا كان الـEarthic Flux إيش مفهومه؟
+
+804
+01:02:32,860 --> 01:02:37,720
+أيوة .. أي .. كم؟ عدد خطوط المجال التي تخترق سطح
+
+805
+01:02:37,720 --> 01:02:43,720
+الماء؟ جونا فيب .. في فيب مية وفي فيب هوا وفي فيب
+
+806
+01:02:43,720 --> 01:02:48,320
+كعربية وفي فيب مغماطيسي نفس القضية فيب كمفهوم
+
+807
+01:02:48,320 --> 01:02:52,300
+اختراق .. يعني لما نقول فيب المية، إيش هو؟ جدش في
+
+808
+01:02:52,300 --> 01:02:57,090
+مية تخترق سطح الماء؟فاية كعربية جدّيش في خطوط مجال
+
+809
+01:02:57,090 --> 01:03:00,530
+كعربية اختراقت سطحنا طيب فاية مغناطيسي جدّيش في
+
+810
+01:03:00,530 --> 01:03:03,530
+خطوط مجال مغناطيسي اختراقت سطحنا اذا المفهوم ما
+
+811
+01:03:03,530 --> 01:03:10,030
+اتغيراش انا هنا قولت فاية E الالكتريك سواء تركيبه
+
+812
+01:03:10,030 --> 01:03:17,650
+الـE دُت الـDA مظبوط ولا بقى؟ فاية مغناطيك ايه
+
+813
+01:03:17,650 --> 01:03:22,970
+بيكسلوا؟ ديم E وعطبي خط انتهى
+
+814
+01:03:24,790 --> 01:03:31,310
+لأ دي إيه؟ ها الفيض مصطلح علمي أنه دعوى باختراع
+
+815
+01:03:31,310 --> 01:03:35,950
+والاختراع بصير في مساحات صح ولا لأ؟ هنا امبيرز شغل
+
+816
+01:03:35,950 --> 01:03:40,370
+تانية هو رجع إن ال loop تكامل هو هو اللي يساوي في
+
+817
+01:03:40,370 --> 01:03:45,010
+I not في I enclosed تمام؟ أما كفيض بدوره نفس
+
+818
+01:03:45,010 --> 01:03:48,950
+القانون لأنه المفهوم علمي دره ما هو فيض أنه دعوى
+
+819
+01:03:48,950 --> 01:03:52,430
+باختراع حسب احطره طبعا اختراع دايما مصادح ممكن
+
+820
+01:03:52,430 --> 01:03:58,000
+نختلق خطبتدخلش علميا ولا عقليا ولا لغويا كي بده
+
+821
+01:03:58,000 --> 01:04:02,940
+اقترق .. لازم يكون الصدر هقترقه تمام بيقول as for
+
+822
+01:04:02,940 --> 01:04:07,360
+the magnetic flux the magnetic flux as for the
+
+823
+01:04:07,360 --> 01:04:11,460
+electric flux the magnetic flux for a surface لإن
+
+824
+01:04:11,460 --> 01:04:15,520
+ال flux مرتمك بال surface هي المفهوم تبعه is
+
+825
+01:04:15,520 --> 01:04:21,820
+defined as .. ياه وليش تمامThe SI unit of magnetic
+
+826
+01:04:21,820 --> 01:04:26,600
+flux is ايش؟ هذي تسلا على متر تربية، بظبط ولا لأ؟
+
+827
+01:04:26,600 --> 01:04:33,120
+بيسموها الـ Weber ال Weber ال Weber، وها دي واحدة
+
+828
+01:04:33,120 --> 01:04:36,460
+مراكوا حتى ال magnetic field بيجيبوه بدلالة ال
+
+829
+01:04:36,460 --> 01:04:41,280
+Weber بيقولك ال magnetic field بيساوي Weber على
+
+830
+01:04:41,280 --> 01:04:43,360
+متر تربية، لكن مش خبيرة
+
+831
+01:04:46,430 --> 01:04:51,350
+أحنا أخدنا شغلة معينة قلنا for a closed surface
+
+832
+01:04:51,350 --> 01:04:55,510
+for a closed surface مش ممكن يقول هنا بيستوى q in
+
+833
+01:04:55,510 --> 01:05:00,970
+على epsilon oneصح ولا لأ؟ وقلنا نقول لو فيش دي
+
+834
+01:05:00,970 --> 01:05:05,710
+شحنات جديش ال flux الكهربائي على أي سطح مغلق؟ Zero
+
+835
+01:05:05,710 --> 01:05:08,890
+طب لو فيه شحنات واحدة موجبة واحدة سالبة، جديش؟
+
+836
+01:05:08,890 --> 01:05:13,170
+يعني هي عندك closed surface فيه هنا إلكيون وفيه
+
+837
+01:05:13,170 --> 01:05:18,610
+هنا بروتون، مين يقول جديش ال flux؟ Zero صح؟ فهم
+
+838
+01:05:18,610 --> 01:05:22,610
+مجال مستفيد، احنا بقول ال flux احنا موضوعنا عن ال
+
+839
+01:05:22,610 --> 01:05:30,860
+flux، طب حلو، في مجالجوا أي سيف اسمه مغلق يكون عدد
+
+840
+01:05:30,860 --> 01:05:34,920
+الأقطاب الشمالية أكتر من عدد الأقطاب الجنوبية في
+
+841
+01:05:34,920 --> 01:05:39,460
+مجال مستحيلمظبوط ولا لأ؟ لأن العمل متفقين في
+
+842
+01:05:39,460 --> 01:05:43,200
+إمكانية أن أفصل الشمال عن الجنوب؟ مافيش مجال إذا
+
+843
+01:05:43,200 --> 01:05:46,380
+إيش بيقولوا ليه؟ بيقولوا since no monopoles مافيش
+
+844
+01:05:46,380 --> 01:05:50,180
+إمكانية تجيبوا لحاله mono يعني فارض دي since no
+
+845
+01:05:50,180 --> 01:05:54,240
+monopole can be isolated in nature we can conclude
+
+846
+01:05:54,240 --> 01:06:00,860
+that 5B لأي سطح مغلق لازم يساوي zero هدفي إغلاق
+
+847
+01:06:00,860 --> 01:06:07,410
+هنا لأي سطح مغلق بتساوي zeroإذا المقناته في
+
+848
+01:06:07,410 --> 01:06:10,290
+المغناطسية ما زال السطح مغلق، قدّيش تفرقص عليه،
+
+849
+01:06:10,290 --> 01:06:15,550
+بدون أي سبب، على طول، وانت مغمض، لأنه مافيش مجال
+
+850
+01:06:15,550 --> 01:06:19,710
+يكون دوة بيه سحنات أو أقطاب، إذا بديوا يكونوا في
+
+851
+01:06:19,710 --> 01:06:21,770
+أقطاب الشمال يبقوا جنوبي، قطعا
+
+852
+01:06:24,390 --> 01:06:28,950
+That is, the magnetic flux through any closed
+
+853
+01:06:28,950 --> 01:06:32,710
+surface is always zero في الكعبية أش كان يقول ليه؟
+
+854
+01:06:32,710 --> 01:06:35,670
+The electric flux through any closed surface is
+
+855
+01:06:35,670 --> 01:06:39,530
+zero if q in بتسوي زيرو، مصبوط ولا؟ بس هنا ماجليش
+
+856
+01:06:39,530 --> 01:06:43,590
+F لأنه دايما هذه ال F موجودة ومتحققةلأن هناك لا
+
+857
+01:06:43,590 --> 01:06:48,510
+مونو بولز مافيش إمكانية تجيب إنت أقطاب مفردة دائما
+
+858
+01:06:48,510 --> 01:06:52,570
+الشمالي و الجنوب بسوء واحد وبالتالي النقطة بولز
+
+859
+01:06:52,570 --> 01:06:57,670
+بسوء Zero فال magnetic flux هذا دائما هذا اتجاههم
+
+860
+01:06:59,710 --> 01:07:03,550
+طبعا ايه المثل عليكي ماكملهوش بس خلينا نشوف ايش
+
+861
+01:07:03,550 --> 01:07:08,290
+اللي موجود بيقول find the magnetic flux through
+
+862
+01:07:08,290 --> 01:07:12,690
+the rectangular loop shown which lies on the right
+
+863
+01:07:12,690 --> 01:07:16,930
+of a long wire of current I بيقول يبدي ال flux على
+
+864
+01:07:16,930 --> 01:07:20,290
+المساحة الصفراء هل المساحة مغلقة؟
+
+865
+01:07:23,110 --> 01:07:26,190
+شوفوا دي باكم اللوب المغلق غير المساحة المغلقة
+
+866
+01:07:26,190 --> 01:07:31,850
+اللوب المغلقة بتحوط مساحة المساحة المغلقة بتحوط
+
+867
+01:07:31,850 --> 01:07:37,980
+حجماللوب المغلقة بتحوط مساحة بتديك مساحة لكن
+
+868
+01:07:37,980 --> 01:07:41,660
+المساحة المغلقة بيصيه جواهش في حجم عشان كده يقولون
+
+869
+01:07:41,660 --> 01:07:45,920
+الكورة غير عن الدائرة الكورة سطح مغلق لإنه جواها
+
+870
+01:07:45,920 --> 01:07:51,440
+حجم الاستوانة سطح مغلق لإنه جواها عجل تماما هنا
+
+871
+01:07:51,440 --> 01:07:56,870
+هذه مستطيل هذه لوب مغلقةحدثت مساحة بس مساحة مفتوحة
+
+872
+01:07:56,870 --> 01:08:01,010
+مش مغلقة تمام؟ لأنه لو مساحة مغلقة كان جولة صفر و
+
+873
+01:08:01,010 --> 01:08:05,030
+رايحت حالي صح ولا لأ؟ تمام بيقول يأوضج ال flux على
+
+874
+01:08:05,030 --> 01:08:08,530
+هذه ايش هو ال flux بيساوي؟ عدد خطوط المجال اللي
+
+875
+01:08:08,530 --> 01:08:15,450
+تخترق سطح الماء وصار هي قانونها عشان
+
+876
+01:08:15,450 --> 01:08:19,050
+مساحة يكون عليها flux لازم يكون فيها B فيها B
+
+877
+01:08:19,050 --> 01:08:27,700
+المساحة هذه من وين جاي B؟من السلك هذا صح ولا لأ مش
+
+878
+01:08:27,700 --> 01:08:30,580
+هذا السلك بيولد مجال مغناطيسي كيف اتجاهه على
+
+879
+01:08:30,580 --> 01:08:34,440
+المساحة الصفراء داخل طبعا لو المساحة الصفراء هنا
+
+880
+01:08:34,440 --> 01:08:39,300
+كان كيف بيصير تجاهه خارج اذا الفيدي فبيجيب قيمته
+
+881
+01:08:39,300 --> 01:08:42,900
+وليش حق قيمته هذا سلك طويل تقدر تجيب من قيمته مش
+
+882
+01:08:42,900 --> 01:08:48,250
+حثق قيمته انطلع للفاكستمام لو جيه قانون ال flux
+
+883
+01:08:48,250 --> 01:08:51,970
+بيقوللي هاي قانونة كده بتبدأ تحل هاي ال flux هاي
+
+884
+01:08:51,970 --> 01:08:55,970
+قانونها بدك بيه in the magnetic field created by
+
+885
+01:08:55,970 --> 01:09:03,750
+the wire given by هذا ال wire الأخضر سلك طويل long
+
+886
+01:09:03,750 --> 01:09:07,230
+wire long wire السلك الطويل إيه القيمة ممكنش حتى
+
+887
+01:09:07,230 --> 01:09:12,390
+ده هو طبعا هذا مش محفوظ يا بابي اعطاه لكم اعطاه
+
+888
+01:09:12,390 --> 01:09:18,570
+لكم كيف اتجاهه قولنا؟هك اتجاهه ولا لأ؟ هك اتجاهه
+
+889
+01:09:18,570 --> 01:09:27,910
+صح طلع نبدأ نشتغل هل بقدر اطلع بيه براك بقى؟ ليه
+
+890
+01:09:27,910 --> 01:09:33,890
+هكذا؟ او متغيرة فهم ماقدرش اطلع زي معناته ان انت
+
+891
+01:09:33,890 --> 01:09:36,630
+ناصر عنك وانت حاسب التكامل ده كيف احسبه؟ بدك دي
+
+892
+01:09:36,630 --> 01:09:40,630
+ايه؟ صح؟ بدك دي ايه؟ دي ايه ايش بتعني هناك؟
+
+893
+01:09:46,990 --> 01:09:51,370
+أحسن حل رياضي يكون انك تاخد هذه المساحة
+
+894
+01:09:56,100 --> 01:10:00,700
+تكامل مزدوج اللي ماخدينه كقلص متقدم دي اكس و دي
+
+895
+01:10:00,700 --> 01:10:03,760
+واي طيب واحد بيقولك طب هو انت بيعمل ايه مش لزاجت
+
+896
+01:10:03,760 --> 01:10:07,120
+فيك ممكن انا اعتبر هذه المساحة عبارة عن عصي ينبأت
+
+897
+01:10:07,120 --> 01:10:11,700
+انما عصر عمودية او عصر وفقية ولا لأ صح ولا لأ طيب
+
+898
+01:10:11,700 --> 01:10:13,720
+اخد عصر وفقية ولا اخد عصر عمودية
+
+899
+01:10:16,780 --> 01:10:20,180
+ليش؟ الأفقية بتحلل كتش المشكلة لإن الأفق يبقى
+
+900
+01:10:20,180 --> 01:10:25,420
+لغنجال بي متغير عليه العمودي لما تاخد عصاية زي بي
+
+901
+01:10:25,420 --> 01:10:30,240
+عليها ثاتة فخد عصي عموديات عشان تحللك إشكالات ال X
+
+902
+01:10:30,240 --> 01:10:34,680
+و ال Y فبيقولي the magnetic field is not constant
+
+903
+01:10:34,680 --> 01:10:38,660
+عشان ال magnetic field is not constantover the
+
+904
+01:10:38,660 --> 01:10:41,420
+surface of the rope we have to divide the surface
+
+905
+01:10:41,420 --> 01:10:47,040
+لازم تجسم ال surface ل DA's each of area DA وهي ال
+
+906
+01:10:47,040 --> 01:10:50,280
+area اللي بدي أخدها هاي الخط الأحمر هدي يزوم
+
+907
+01:10:50,280 --> 01:10:54,500
+المساحة ولا لأ؟ أكم خط أحمر فيه المساحة بتعمل؟ كذا
+
+908
+01:10:54,500 --> 01:11:01,620
+واحد فحن حاجات جديش DA من يقولي جديش DA هنا؟ جديش
+
+909
+01:11:01,620 --> 01:11:06,120
+المساحة هذه الحمراء لإن مستطيل صغير الطول في العرض
+
+910
+01:11:06,120 --> 01:11:12,690
+الطول بيه ولا مش بيه؟والعرض DX و لا DR فعلا تكمل
+
+911
+01:11:12,690 --> 01:11:16,430
+وبعدين بتشتغلها عملها بسرعة وبعدين باعدها بيعتبر
+
+912
+01:11:16,430 --> 01:11:21,930
+هذه DR إذا المساحة A بيه DR ثم بيقولك هذه بتجيبتها
+
+913
+01:11:21,930 --> 01:11:28,830
+صارت B DR وهذه هيها عوّد فبيشوفوا الدقة production
+
+914
+01:11:28,830 --> 01:11:35,920
+بقىكيف بيه اتفاق من اتجاهها بيه؟ كيف اتجاهها؟ بس
+
+915
+01:11:35,920 --> 01:11:41,520
+الداخل مين يقول يجيديش المساحة اتجاهها؟ المساحة
+
+916
+01:11:41,520 --> 01:11:47,920
+كيف اتجاهها؟ مساحة الصفراء اتجاهها كيف؟فعلا زي
+
+917
+01:11:47,920 --> 01:11:52,120
+اللي برا ولا اللي جوه إذا اللي جوه زي 180 في نهايه
+
+918
+01:11:52,120 --> 01:11:56,580
+بييتها سالب فعلا عجبا أنت هياخدها معاتدها بيه هنا
+
+919
+01:11:56,580 --> 01:12:01,500
+أخدتها عكس سالب مش قضية إذا بدكت بداك تروحت دي
+
+920
+01:12:01,500 --> 01:12:10,340
+إعرفتها بمعطية بذكية كامل هاي أه ولمّا جيبها ذهبت
+
+921
+01:12:10,340 --> 01:12:15,800
+وعملت هلجيت هاي كل العراصر تبعتيعشان اعرف حدود
+
+922
+01:12:15,800 --> 01:12:19,860
+التكامل انا عايش بكامل في الآخر ماشي على DR من هنا
+
+923
+01:12:19,860 --> 01:12:26,200
+و هنا من C ل C زاد A هك بكون انا اخدت كل المساحات
+
+924
+01:12:26,200 --> 01:12:30,720
+و بخلص الجواب اذا لما يكون عند بي is not uniform
+
+925
+01:12:30,720 --> 01:12:34,160
+مضطر اجيب DA بنكمل المرة الجاية بعيدا
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..29dda227d9c116bee248f10ea7127cd12cece050
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_postprocess.srt
@@ -0,0 +1,2828 @@
+1
+00:00:00,000 --> 00:00:02,660
+موسيقى
+
+2
+00:00:17,300 --> 00:00:22,280
+بسم الله الرحمن الرحيم نستأنف الأمثلة على قانون
+
+3
+00:00:22,280 --> 00:00:27,800
+gauss أول test عملناه انه جبنا شدة المجال for
+
+4
+00:00:27,800 --> 00:00:32,520
+appointed charge applying gauss's law وشفنا انه
+
+5
+00:00:32,520 --> 00:00:39,910
+النتيجة واحدة طلع الجواب kq over r² as expectedهذا
+
+6
+00:00:39,910 --> 00:00:43,550
+المثال الأول عشان يعطينا اطمئنان ان قانون gauss
+
+7
+00:00:43,550 --> 00:00:49,530
+applicable for some configurations نعيد ان قانون
+
+8
+00:00:49,530 --> 00:00:56,270
+gauss لا ينطبق الا على تلت حالات منهمش رابعالاشكال
+
+9
+00:00:56,270 --> 00:01:01,250
+الكراوية بجميع حالاتها وبجميع أحجامها الشغلات
+
+10
+00:01:01,250 --> 00:01:04,810
+الاستوانية يعني الأجسام المشحونة لو كانت استوانية
+
+11
+00:01:04,810 --> 00:01:09,790
+شرط انها تكون طويلة جدا استطيع تطبيق قانون جاوس
+
+12
+00:01:09,790 --> 00:01:16,150
+عليها والاشكال المسطحة برضه مشروطة بكبرها بحيث ان
+
+13
+00:01:16,150 --> 00:01:19,930
+تكون with infinite extents هذه الحالات اللي بنطبق
+
+14
+00:01:19,930 --> 00:01:22,910
+عليها قانون جاوس ذات كده عشان اطبق قانون جاوس
+
+15
+00:01:22,910 --> 00:01:28,640
+مطلوب مني اختارالـ Closed Gaussian Surface وهذا
+
+16
+00:01:28,640 --> 00:01:33,140
+الـ Gaussian Surface Hypothetical يعني خيامي وهمي
+
+17
+00:01:33,140 --> 00:01:37,490
+انا بحطه وبالتالي مابكونش عليه شحناتما هو همي؟ من
+
+18
+00:01:37,490 --> 00:01:41,490
+وين بدو يجي الشحمات عليه؟ تمام؟ و بعد هيك بكمل و
+
+19
+00:01:41,490 --> 00:01:44,910
+بلاقي ان الجواب بطلع كتير سهل فكان ال example
+
+20
+00:01:44,910 --> 00:01:50,470
+الحقيقي اللي هنطبق عليه قانون جاوس لإيجاد شدة
+
+21
+00:01:50,470 --> 00:01:55,570
+المجال الكهربائي بقول a thin spherical shell of
+
+22
+00:01:55,570 --> 00:02:00,850
+radius a has a total charge capital Q uniformly
+
+23
+00:02:00,850 --> 00:02:04,210
+distributed over its surface طبعا its surface لأنه
+
+24
+00:02:04,210 --> 00:02:07,910
+من جوا فاضيوبالتالي الشحنات بتكون على السطح هاي
+
+25
+00:02:07,910 --> 00:02:12,610
+الرسمة .. طبعا هدى مش ring هدى shell عشان الرسمة
+
+26
+00:02:12,610 --> 00:02:16,450
+مرات يتخيل الطالب انها عبارة عن ring دي خربت هدى
+
+27
+00:02:16,450 --> 00:02:19,810
+سفير بس من جوا فاضية وفي فرق ما بين ال ring
+
+28
+00:02:19,810 --> 00:02:24,210
+الدائرة و بين السفير فانا بتعامل مع السفير بس من
+
+29
+00:02:24,210 --> 00:02:28,690
+جوا فاضية عشان كده الشحنات موجودة على السطح لو
+
+30
+00:02:28,690 --> 00:02:32,250
+كانت ring بصير الشحنات على محيط صح ولا لأ لأ لكن
+
+31
+00:02:32,250 --> 00:02:38,120
+هي surfaceهيكيو نسخة ايه زي ما حكى المطلوب find
+
+32
+00:02:38,120 --> 00:02:42,120
+the magnitude of the electric field at a point
+
+33
+00:02:42,120 --> 00:02:47,340
+لازم دائما يقولي where we have to evaluate E فهو
+
+34
+00:02:47,340 --> 00:02:52,120
+هنا معطيني evaluate E at a point outside the shell
+
+35
+00:02:52,120 --> 00:02:56,480
+و and at a point inside the shell يقولي اي نقطة
+
+36
+00:02:56,480 --> 00:03:01,180
+اختارها بس تكون برا مرة و مرة جوا تمام؟سلوشي نبدأ
+
+37
+00:03:01,180 --> 00:03:06,340
+باللي برا نختار نقطة
+
+38
+00:03:06,340 --> 00:03:10,020
+عشوائية
+
+39
+00:03:10,020 --> 00:03:13,320
+نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة
+
+40
+00:03:13,320 --> 00:03:19,960
+عشوائية نختار نقطة عشوائية نختار نقطة عشوائية
+
+41
+00:03:19,960 --> 00:03:21,200
+نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة
+
+42
+00:03:21,200 --> 00:03:21,360
+عشوائية نختار نقطة عشوائية نختار نقطة عشوائية
+
+43
+00:03:21,360 --> 00:03:23,600
+عشوائية نختار
+
+44
+00:03:26,180 --> 00:03:30,080
+يجب أن نختار اذا قانون جاوس قادر على استخدامه او
+
+45
+00:03:30,080 --> 00:03:33,100
+لا. كيف يعني؟ هل ينطبق قانون جاوس على هذا الشكل
+
+46
+00:03:33,100 --> 00:03:37,360
+ولا لا؟ هذه أول test اللي عندي المعلومة أنه ينطبق
+
+47
+00:03:37,360 --> 00:03:40,560
+فقط على تلت أنواع أشكال قراوية أشكال الصوانية
+
+48
+00:03:40,560 --> 00:03:44,000
+طويلة جدا أشكال مصطلحة كبيرة جدا الشكل المشحون
+
+49
+00:03:44,000 --> 00:03:49,020
+كيف؟ قراوية ينطبق قانون جاوس إذا أول test عملته
+
+50
+00:03:49,020 --> 00:03:55,500
+نجحالان بدأ اشتغل الخطوة التالية اختار سطح وهمى
+
+51
+00:03:55,500 --> 00:04:00,460
+سمى gaussian surface and should have the same
+
+52
+00:04:00,460 --> 00:04:03,580
+symmetry of the charge distribution, the charge
+
+53
+00:04:03,580 --> 00:04:06,280
+distribution is spherical اذا سطح الجاوس بيكون
+
+54
+00:04:06,280 --> 00:04:09,780
+سفير صح ولا لأ احنا حاولنا سطح الجاوس اللى بدي
+
+55
+00:04:09,780 --> 00:04:14,580
+اختاره لازم يكون بيشبه الجسم المشحون الجسم المشحون
+
+56
+00:04:14,580 --> 00:04:15,460
+كيف شكله؟
+
+57
+00:04:20,650 --> 00:04:25,570
+النقطة التانية ان ال point should lie on the
+
+58
+00:04:25,570 --> 00:04:28,470
+surface on the Gaussian surface اذا صارت واضحة
+
+59
+00:04:28,470 --> 00:04:32,310
+الأمور since the charge distribution is spherical
+
+60
+00:04:32,310 --> 00:04:37,010
+we choose a spherical Gaussian surface constantly
+
+61
+00:04:37,010 --> 00:04:41,310
+with the shell متحدة البركز مع الشل فهي سطح جاسكتر
+
+62
+00:04:41,310 --> 00:04:46,580
+معاههذه سطح الجاوز واتفقنا احنا عاملينه منقط عشان
+
+63
+00:04:46,580 --> 00:04:49,900
+to ensure that it is a hypothetical surface .. to
+
+64
+00:04:49,900 --> 00:04:53,620
+ensure that it is a hypothetical surface وبالتالي
+
+65
+00:04:53,620 --> 00:04:59,480
+منقط يعني هو مش حقيقي احكيلازم تكون موجودة بدونها
+
+66
+00:04:59,480 --> 00:05:04,580
+بتتوقف يعني لو واحد مارصمش جوز ان سيفس و بدأ حل
+
+67
+00:05:04,580 --> 00:05:08,660
+بيكون باصم مش عارف اللي بيسويه لأنه انت كيف بيسوي
+
+68
+00:05:08,660 --> 00:05:12,100
+علاجاء السطح انت مش راقمه كيف انا بيدور عليك اقولك
+
+69
+00:05:12,100 --> 00:05:16,580
+انت وين ال qn وين ايه اللي السطح بدي اعرف وين هو
+
+70
+00:05:17,100 --> 00:05:21,600
+تمام؟ إذا هذه خطوة مركزية، إن سطح جاس لازم يبين في
+
+71
+00:05:21,600 --> 00:05:26,560
+الرسمة، لابد، وإلا كانت تشتغل جاهز، تمام؟ بعد ما
+
+72
+00:05:26,560 --> 00:05:29,660
+عملتها وعيسمته Gaussian Surface، واضح إن هذا هو
+
+73
+00:05:29,660 --> 00:05:33,320
+Gaussian Surface، لازم تكون موجودة كخطوة مركزية
+
+74
+00:05:33,320 --> 00:05:38,340
+وضروريةit is clear طبعا اذا جيت بعد ما انا اشتغلت
+
+75
+00:05:38,340 --> 00:05:44,140
+مفروض زي ما شرحلي او اقنعني ان يكون الان امنت ان E
+
+76
+00:05:44,140 --> 00:05:48,860
+is constant over the surface صح ولا لأ الان السطح
+
+77
+00:05:48,860 --> 00:05:54,200
+جاوزي ال surface اتداشت ات dotted هذا المنقطةطول
+
+78
+00:05:54,200 --> 00:06:00,200
+ما انت ماشي عليه هال E بتتغير؟ لأ قطعا اذا انت حصل
+
+79
+00:06:00,200 --> 00:06:05,840
+اخترائك لسطح جاوس هو اللي بيأملك ثابت E on the
+
+80
+00:06:05,840 --> 00:06:08,860
+surface وهي لو انا اختار السطح غير هذا السطح ايه
+
+81
+00:06:08,860 --> 00:06:12,860
+بتكون الثابتة؟ لو واحد حكى انا بدي سطح مغلق جاوس
+
+82
+00:06:12,860 --> 00:06:18,220
+حكى انا closed surface بدي اختار متوازى مستطيلات
+
+83
+00:06:18,890 --> 00:06:21,570
+متوازن مستطيلات تشوفوا انتوا هى متوازن مستطيلات
+
+84
+00:06:21,570 --> 00:06:24,350
+الغرفة ولا لا اتصوروا الكورة مش هون محتوطة في النص
+
+85
+00:06:24,350 --> 00:06:30,190
+و اتخيلوا اى surface من الغرفة هل بيكون طول ما انت
+
+86
+00:06:30,190 --> 00:06:33,810
+ماشي على ال surface على ابعاد متساوية من الكورة لأ
+
+87
+00:06:33,810 --> 00:06:37,950
+اذا ايه not constant اذا لو انت ال Gaussian
+
+88
+00:06:37,950 --> 00:06:43,330
+surface مش كراوي ايه will not be constantتمام؟
+
+89
+00:06:43,330 --> 00:06:47,310
+وبطبعا وزي ما فيها مشكلة وبالتالي انا بأحكي انه
+
+90
+00:06:47,310 --> 00:06:53,130
+لازم سطح جاوس يكون نفس الشكل عشان هدف وحيد بسعاره
+
+91
+00:06:53,130 --> 00:06:58,670
+في الآخر ثبات ال E لأن قانون جاوس اللي بشتغل عليه
+
+92
+00:06:58,670 --> 00:07:06,550
+بيقول تكامل المغلق ل E ضد ال DA بتساوي QN على ي
+
+93
+00:07:06,550 --> 00:07:11,430
+نوت فح ولا لأ؟أنا جيت هذا التكامل إذا هذه E ما
+
+94
+00:07:11,430 --> 00:07:16,650
+طلعتش برا ملزم أجيب علاقة بين E و A صح ولا لأ؟ طب
+
+95
+00:07:16,650 --> 00:07:19,470
+و أنت بتجيب عليك تجيب علاقة و E مش معروف لسه؟ طب
+
+96
+00:07:19,470 --> 00:07:22,150
+أنت مطلوب أنك تجيب E كيف أنك تجيب علاقة؟ إذا جيبت
+
+97
+00:07:22,150 --> 00:07:27,550
+علاقة خلّصت إتصال إذا موية إنك تجيب علاقة لأن E is
+
+98
+00:07:27,550 --> 00:07:33,660
+not knownالتالي الحل الوحيد إنك تشغل بقانون جارس
+
+99
+00:07:33,660 --> 00:07:39,780
+إنه must be constant يطلع برا بصير تكامل ال DAA
+
+100
+00:07:39,780 --> 00:07:45,420
+وإلا إذا مش ثابت تقدرش تعمل حاجة بتحط القانون و
+
+101
+00:07:45,420 --> 00:07:50,690
+بتتفرج عليه ولا خطوة تقدر تخطو بعد كدهكيف هيكون
+
+102
+00:07:50,690 --> 00:07:54,130
+ثابت؟ الخطوات اللي حكينا عنها لازم الجسم يكون اما
+
+103
+00:07:54,130 --> 00:07:57,970
+كراوي او صواني طول جدا الجسم المشحون انا قصدي او
+
+104
+00:07:57,970 --> 00:08:01,610
+بلين كبير جدا لازم سطح الجاس اللي بتختار يكون يشبه
+
+105
+00:08:01,610 --> 00:08:07,550
+الجسم المشحون وإلا هذا الشرط لا يتحقق اطلاقا واضح
+
+106
+00:08:07,550 --> 00:08:14,180
+يا شباب؟طبعا بعد احنا هجيت بعد ما عملنا اتأكدنا
+
+107
+00:08:14,180 --> 00:08:16,760
+انه ايه ال constants بتطلعها برا فيه مشكلة dot
+
+108
+00:08:16,760 --> 00:08:20,380
+product بتشتغل انا وياكم عليها dot product بتعطي
+
+109
+00:08:20,380 --> 00:08:26,980
+cosine theta between E and A صح ولا لأ هجيت E لازم
+
+110
+00:08:26,980 --> 00:08:31,500
+تكون باتجاه أنصاف الأكتر لو اجيت انا بدأ ارسم شباب
+
+111
+00:08:31,500 --> 00:08:37,080
+E من الشكل الأحمر هيجيني E هيكو E هيك دي جانسة في
+
+112
+00:08:37,080 --> 00:08:41,980
+الأقطار و E هيك و هكذا بدل ما انا مش عارف ايه صح
+
+113
+00:08:41,980 --> 00:08:46,840
+ولا لأ لازم يكون هيك طيب لو بدي اجيب عند اي نقطة
+
+114
+00:08:46,840 --> 00:08:49,340
+لسطح جوز A هنا كي بدرسمها
+
+115
+00:08:52,510 --> 00:08:58,630
+طب هنا هيك طب هنا هيك كدهش الزاوية بينهم؟ Zero إذا
+
+116
+00:08:58,630 --> 00:09:02,570
+الدكتور برضه اتحلت مشكلته تمام بيقول it is clear
+
+117
+00:09:02,570 --> 00:09:05,590
+that E is normal to the surface at every point in
+
+118
+00:09:05,590 --> 00:09:09,390
+the Gaussian surface that is E and DA are parallel
+
+119
+00:09:09,390 --> 00:09:14,290
+يعني E و DA بينهم زاوية Zero أنا هنا طبعا هي خط
+
+120
+00:09:14,290 --> 00:09:17,490
+المجال الأخضر اللي أنا عصمه بدل واحد من الحمر أخدت
+
+121
+00:09:17,490 --> 00:09:21,230
+واحد منهم طبعا خط المجال بيبدأ من الشحنات من الجزر
+
+122
+00:09:21,230 --> 00:09:25,750
+الأحمرصح ولا لأ؟ وإيه .. هدى القانون .. هدى لمين
+
+123
+00:09:25,750 --> 00:09:30,030
+شباب؟ بصحة إيش هدى؟ الجسم المشغول ولا سطح المغلق؟
+
+124
+00:09:30,030 --> 00:09:34,990
+السطح الجعص .. السطح الجعص فهدى for gaussian
+
+125
+00:09:34,990 --> 00:09:42,090
+surface هدى
+
+126
+00:09:42,090 --> 00:09:44,810
+تبقى دى إيه؟ طب gaussian surface يعني إيه؟ إيه؟ من
+
+127
+00:09:44,810 --> 00:09:50,210
+وين بتيجي؟ من هنامش من الحمراء من المتجة فإيه أرسم
+
+128
+00:09:50,210 --> 00:09:52,730
+دي إيه عندي النقطة هاي الصمرة انطبقوا على بعض ولا
+
+129
+00:09:52,730 --> 00:09:56,990
+انطبقوش انطبقوا characters إذا زاوية Zero وما زالت
+
+130
+00:09:56,990 --> 00:10:01,630
+زاوية Zero أصبحت عندي ال dot of product راحت فصرت
+
+131
+00:10:01,630 --> 00:10:07,770
+E طلعتها برا ال dot of product equal to oneدى ايه؟
+
+132
+00:10:07,770 --> 00:10:13,650
+ايش تكملها؟ A بتسوى Q in over Y not .. Q in over Y
+
+133
+00:10:13,650 --> 00:10:18,970
+not .. what is Q in؟ what we mean by Q in؟ داخل
+
+134
+00:10:18,970 --> 00:10:24,150
+مين؟ داخل سطح جوز .. هجيت اي واحد اقوله فيه جوا
+
+135
+00:10:24,150 --> 00:10:29,830
+شحنات Gaussian surface داخله مش عليه .. داخله ..
+
+136
+00:10:29,830 --> 00:10:34,120
+فيه شحنات او مافيه شحنات؟أزميركم هذا جوه الغرفة
+
+137
+00:10:34,120 --> 00:10:36,240
+ولا مش جوه الغرفة؟ عشان يكون جوه الغرفة يجب يكون
+
+138
+00:10:36,240 --> 00:10:40,260
+ملزج بالحيطة؟ ايه جوه الغرفة؟ هذه الشكل الأحمر جوه
+
+139
+00:10:40,260 --> 00:10:43,180
+سطح جاوس ولا مش جوه سطح جاوس؟ في جوه سطح جاوس
+
+140
+00:10:43,180 --> 00:10:48,280
+شحناته ولا لا؟ قديش مقدارها؟ كلها .. كلها .. في أي
+
+141
+00:10:48,280 --> 00:10:52,160
+واحد من الشحنات طالع برا بديش إياه؟ كله طب كله
+
+142
+00:10:52,160 --> 00:11:00,260
+قديش مقداره؟ كامة على كيلو معناته شباكالـ QN سهل
+
+143
+00:11:00,260 --> 00:11:07,240
+اتعامل معاها الـ QN هادى هي Q هي هادى صح ولا لأ
+
+144
+00:11:07,240 --> 00:11:13,940
+كلها جوا في جزء من الجاعة بتأرجع برا بديش احسبهكله
+
+145
+00:11:13,940 --> 00:11:20,840
+بيدياه إذا الـ QN بتساوي Q على إبسلون نوت صح شباب
+
+146
+00:11:20,840 --> 00:11:26,400
+طيب إيه هذه صعب أجيبها مشجونة لـ Gaussian Surface
+
+147
+00:11:26,400 --> 00:11:30,080
+هجيب أكتب أربع عضاي A تربيع والله أربع عضاي R
+
+148
+00:11:30,080 --> 00:11:35,740
+تربيع R تربيع لأنه هذه سطح جاسس So we have to be
+
+149
+00:11:35,740 --> 00:11:40,660
+carefully هنا لو حاطيت A تربيع السؤال التالت تلبحه
+
+150
+00:11:40,660 --> 00:11:45,200
+بروحليكلو حطيت بالي ال R ايه فتتربقى السؤال راح
+
+151
+00:11:45,200 --> 00:11:48,720
+لان انت بطلت تجيب التكامل على gaussian surface
+
+152
+00:11:48,720 --> 00:11:52,400
+صارت تجيب التكامل على الجسم المشحون وانا هنا بقول
+
+153
+00:11:52,400 --> 00:11:55,880
+gauss هذا التكامل على سطح gauss وسطح gauss انت
+
+154
+00:11:55,880 --> 00:12:00,100
+اللي اشتغلته وانت اللي حاطيته فهذه مساحة سطح gauss
+
+155
+00:12:00,100 --> 00:12:05,180
+مش مساحة الجسم المشحون واضح شباب فهذه ال QM
+
+156
+00:12:05,180 --> 00:12:07,560
+فعملناها الآن بطئه
+
+157
+00:12:11,220 --> 00:12:19,380
+معروفة بتساوي الأربعة by a² or r² not a² تمت طلع
+
+158
+00:12:19,380 --> 00:12:28,540
+الجواب خلاص انتهت السؤال الان the second احكي ليه
+
+159
+00:12:28,540 --> 00:12:36,870
+جمت المساحة دي زادت لو هو اكترش الفرقس طيبأنا هجيت
+
+160
+00:12:36,870 --> 00:12:41,210
+بدي بفلكس قاعد ولا بدي بمجال هذا الفلكس اللي
+
+161
+00:12:41,210 --> 00:12:45,590
+بتأثرش the
+
+162
+00:12:45,590 --> 00:12:51,050
+second we have to find the electric field at a
+
+163
+00:12:51,050 --> 00:12:57,290
+point inside the shell inside the shell تمام طبعا
+
+164
+00:12:57,290 --> 00:12:58,430
+في النقطة هذه
+
+165
+00:13:03,150 --> 00:13:08,510
+هذه سطح جاوس صح ولا لأ لأن سطح جاوس عنده شرط لازم
+
+166
+00:13:08,510 --> 00:13:12,670
+النقطة تكون وقع عليه مظبوط ولا لأ كراوي كراوي
+
+167
+00:13:12,670 --> 00:13:16,730
+النقطة عليه النقطة عليه النقطة تتغيرت هو بلحاجها
+
+168
+00:13:16,730 --> 00:13:22,410
+هذه سطح جاوس ثم كمان مرة يقول it is clear that
+
+169
+00:13:22,410 --> 00:13:25,290
+there is no charge inside the Gaussian surface
+
+170
+00:13:25,290 --> 00:13:27,650
+Gaussian surface شايفونه يا شباب هذه Gaussian
+
+171
+00:13:27,650 --> 00:13:34,370
+surfaceجوا في شحنات في أي منطقة حمرا جوا اذا الـ Q
+
+172
+00:13:34,370 --> 00:13:40,350
+in قداش؟ Zero That is Q in equal to zero سهلة اذا
+
+173
+00:13:40,350 --> 00:13:45,210
+معناته ايه بتساوي Zero؟ اذا ايه بتساوي Zero؟ هنا
+
+174
+00:13:45,210 --> 00:13:51,570
+الشغل سهل جدا ومابدهاش اي شغل ولا اي تفكير خلاص
+
+175
+00:13:51,570 --> 00:13:55,690
+بنص سطر بقول since Q in equal to zero اذا E equal
+
+176
+00:13:55,690 --> 00:13:59,810
+to zero نحل السؤال خلاص في اي استفسار هنا شباب؟
+
+177
+00:14:02,360 --> 00:14:08,860
+تمام؟ كمان مثال بيقول لي I'm insulating sphere كرة
+
+178
+00:14:08,860 --> 00:14:13,980
+مصممة ومصنوعة من مادة عازلة تصور عندك كرة مصنوعة
+
+179
+00:14:13,980 --> 00:14:19,220
+من مادة لبلاستيك أو المطاط بس المطاط لبلاستيك معاد
+
+180
+00:14:19,220 --> 00:14:23,840
+عازلة تمام؟ مصممة يعني جوا مليانة كلها مادة
+
+181
+00:14:23,840 --> 00:14:28,250
+لبلاستيكأفريدياس A لديها تشارج كبيتال اكيو
+
+182
+00:14:28,250 --> 00:14:31,670
+Uniformly Distributed Through Its Volume و هذه
+
+183
+00:14:31,670 --> 00:14:35,770
+واحد جيبت حقنتها بشحنات حقنتها بشحنات و حاطيت
+
+184
+00:14:35,770 --> 00:14:39,210
+دلوقتي محط شحنات شحنات شحنات لما صار و لما تحط
+
+185
+00:14:39,210 --> 00:14:43,810
+أصبعك جوا بتلاقي شحنات Uniformly Distributed صارت
+
+186
+00:14:43,810 --> 00:14:48,770
+الشحنات موزعة على كل الحجم Everywhere inside the
+
+187
+00:14:48,770 --> 00:14:52,550
+sphere we have a charge واضح شباب؟ اذا عندي شحنات
+
+188
+00:14:52,550 --> 00:14:57,380
+مالية الكرة ترىطبعا ايش افرقت بين conductor و
+
+189
+00:14:57,380 --> 00:15:00,220
+insulator هنيجي لاحقا انه في ال insulator و اين ما
+
+190
+00:15:00,220 --> 00:15:04,000
+تحط الشحنة بيبقى لها واقفة تتحركش لأنه there is no
+
+191
+00:15:04,000 --> 00:15:07,360
+way to move مظبوط ولا لأ لكن لو conductor تتحرك
+
+192
+00:15:07,360 --> 00:15:11,600
+وبالتالي متضمنش انت اين تحطها الى خواص اخرى هذه
+
+193
+00:15:11,600 --> 00:15:15,880
+الكرة الزرقاش اللي انت شايفينها كلها مشهونة كلها
+
+194
+00:15:15,880 --> 00:15:22,030
+مشهونة شحنتها كبيتة ل Qطبعا كل المنطقة الزرقى شباب
+
+195
+00:15:22,030 --> 00:15:25,910
+فيها شحنات وين ما في لون أزرق فيه شحنات هي معناتها
+
+196
+00:15:25,910 --> 00:15:29,410
+ايش مطلوب؟ هذه نسختها ايه؟ زي ما هو حاكي بقولي
+
+197
+00:15:29,410 --> 00:15:33,190
+calculate the electric field E outside the shell
+
+198
+00:15:33,190 --> 00:15:37,090
+او outside الاسفير الاسفير هنا و inside الاسفير
+
+199
+00:15:37,090 --> 00:15:40,950
+الشل أو السفير مش قضية عندي هنا ممكن تتجاوز او
+
+200
+00:15:40,950 --> 00:15:44,550
+تتطلع صح اذا بدي وشدت المجال برا وشدت المجال جوا
+
+201
+00:15:44,550 --> 00:15:51,470
+زي المثال السابق ايش أفرقك؟ بقولي solution againلأ
+
+202
+00:15:51,470 --> 00:15:57,330
+مصممة .. النقطة .. اقولك انا احط سفير او حط شيل
+
+203
+00:15:57,330 --> 00:16:02,390
+بتفرخش كتير لكن هو اذا بدك حط سفير انت لما تقول
+
+204
+00:16:02,390 --> 00:16:06,290
+جوا و برا معناته جوا و برا أيش؟ السطح فممكن تجاوزك
+
+205
+00:16:06,290 --> 00:16:08,930
+تقول الشيل لكن هو خليه سفير، تمام؟
+
+206
+00:16:22,260 --> 00:16:25,180
+الحل الأولى اللى بنطبق عليها قانون جوز الشية
+
+207
+00:16:25,180 --> 00:16:30,260
+الأشكال صورية حالي الشكل كاراوي ولا لا؟ كاراوي اذا
+
+208
+00:16:30,260 --> 00:16:36,370
+ال test is success مافيش مشكلة عندىالخطوة التالية
+
+209
+00:16:36,370 --> 00:16:40,130
+بتختار سطح جاوس ولا لأ؟ ما زال قانون جاوس ينطبق
+
+210
+00:16:40,130 --> 00:16:44,610
+الخطوة الأولى بعد ذلك اختيار سطح جاوس وهو سطح مغلق
+
+211
+00:16:44,610 --> 00:16:49,210
+لازم يشبه الشكل المشحون الشكل المشحون كراوي السطح
+
+212
+00:16:49,210 --> 00:16:52,730
+اللى بتختاره ايش كراوي واحنا اتفقنا سطح جاوس حيكون
+
+213
+00:16:52,730 --> 00:16:58,300
+بس حالتين لا كراوية بس وانا ذاكرينها تمام؟مرة أخرى
+
+214
+00:16:58,300 --> 00:17:02,360
+لأن الاسفيريكال السيماتري للشبكات التي نختارها
+
+215
+00:17:02,360 --> 00:17:07,460
+اتسفيريكال جاوزيان سيرفيس افريديا متساومة
+
+216
+00:17:07,460 --> 00:17:11,580
+بالاسفيريكال هل بالنقطة اللي بدي احسن عنها شده في
+
+217
+00:17:11,580 --> 00:17:16,990
+مجال الشباب؟ وهل البعد R وR وهل سطح الجاز؟نفس
+
+218
+00:17:16,990 --> 00:17:22,250
+الجبلة عالية نفس الجبلة ولا في اشي كمان مرة بيقول
+
+219
+00:17:22,250 --> 00:17:24,990
+لي هاي جوز ال surface as for the case in the
+
+220
+00:17:24,990 --> 00:17:27,250
+previous example زي ما حكيته انتوا زي المرة
+
+221
+00:17:27,250 --> 00:17:33,550
+الماضية E ثابتة على السطح المجد ولا لأ and E و E
+
+222
+00:17:33,550 --> 00:17:37,590
+parallel يعني الزاوية zero يعني ال product راحت
+
+223
+00:17:37,590 --> 00:17:44,570
+فبصير عنديالمشكلة هي هذه بس كلها بديها في جزء منها
+
+224
+00:17:44,570 --> 00:17:49,070
+بديش إياه لأ كلها بديها إذا E في A بتسوى Q على
+
+225
+00:17:49,070 --> 00:17:56,210
+إبسلو نوت أو E هذه Substituting for A بي A بتسوى 4
+
+226
+00:17:56,210 --> 00:18:02,190
+πي R square كمان بغى A equal 4 πي R square not 4
+
+227
+00:18:02,190 --> 00:18:05,690
+بي A square صح ولا لأ لأن هذه مساحة سطح جاوس اللي
+
+228
+00:18:05,690 --> 00:18:09,410
+بتختاره انت طلعني جوا مافيش مشكلة
+
+229
+00:18:16,260 --> 00:18:20,800
+لان المشكلة جوا المرة دي جوا كان يشتغل الجوال لانه
+
+230
+00:18:20,800 --> 00:18:26,200
+كانت من جوا فاضية صح هنا فيش احنا طيب هاي نرجع وهي
+
+231
+00:18:26,200 --> 00:18:31,130
+النقطةشكل كراوي ينطبق عليه قانون جاوس اختار سطح
+
+232
+00:18:31,130 --> 00:18:34,370
+جاوس سطح جاوس يجب أن يكون كراوي والنقطة تكون عليه
+
+233
+00:18:34,370 --> 00:18:38,730
+هل سطح جاوس تبقى الفرق الأول ينطبق من فعل استخدامه
+
+234
+00:18:38,730 --> 00:18:45,550
+لأ لأنه كان برا اذا هاي سطح جاوس هاي R هاي سطح
+
+235
+00:18:45,550 --> 00:18:50,270
+جاوس هذا سطح جاوس اللي اختارناه الأزرق الغامي
+
+236
+00:18:50,270 --> 00:18:56,200
+الغامق ال dark blue تمام هجيت مشكلتي وين؟مشكلتي في
+
+237
+00:18:56,200 --> 00:19:03,820
+الـ Q in هل ال Q in كل Q؟ لأ ال light blue هذا
+
+238
+00:19:03,820 --> 00:19:10,760
+بدياهلأ بيذنّيش الـ Q in is the charge inside the
+
+239
+00:19:10,760 --> 00:19:14,440
+gaussian surface و gaussian surface هيه يا شباب
+
+240
+00:19:14,440 --> 00:19:20,100
+هيه إذا أنا بدي فقط الشحنات هذه صح ولا لأ يعني
+
+241
+00:19:20,100 --> 00:19:24,400
+واحدة واحدة بدي الجزء ولا الكل جزء من كل وما زال
+
+242
+00:19:24,400 --> 00:19:27,720
+بدي جزء من كل و الجزء أنا بعرفهاش لأ أنا جاي رجول
+
+243
+00:19:27,720 --> 00:19:32,200
+نص ولا ربع ولا تلت لأ عشوائيلما بدي أخد جزء من كل
+
+244
+00:19:32,200 --> 00:19:36,600
+شباب بدي أذهب خاصة عني للـ Child Densities الـ
+
+245
+00:19:36,600 --> 00:19:41,020
+Sigma والـ Lambda والـ Rho هنا الـ Rho لأنه حجب
+
+246
+00:19:41,020 --> 00:19:47,480
+طيب الآن شباب لو أنا متوقع حد الباب كله مشحون
+
+247
+00:19:47,480 --> 00:19:53,980
+والباب هذا توقعوا أنه متوازن مستطيلةكله مشهور بقول
+
+248
+00:19:53,980 --> 00:19:59,620
+رو مش بتساوي Q على حجم الباب صح ولا لأ طب لو بدكم
+
+249
+00:19:59,620 --> 00:20:06,160
+بس حجم برف واحدة بدكم Q على حجم كل الباب ولا عضالة
+
+250
+00:20:06,160 --> 00:20:13,360
+فواحدة بس عضالة فواحدة صح ولا لأ الان انا بدي Q in
+
+251
+00:20:13,360 --> 00:20:18,920
+the dark blue صح ولا لأ بقدر اقول Q بتساوي رو في
+
+252
+00:20:18,920 --> 00:20:25,550
+حجم ال dark blueحجم ال dark blue مظبوط .. اه .. حد
+
+253
+00:20:25,550 --> 00:20:28,670
+Gaussian surface احنا عارفينه بيقول المشكلة عندك
+
+254
+00:20:28,670 --> 00:20:32,570
+الآن في Qn حل المشكلة في Qn لنحل السؤال to find
+
+255
+00:20:32,570 --> 00:20:36,570
+that charge Qn ال Qn يعني within the Gaussian
+
+256
+00:20:36,570 --> 00:20:41,410
+surface والGaussian surface اعتبر حجمه Vin تمام؟
+
+257
+00:20:42,230 --> 00:20:46,390
+نحن نستخدم الحقيقة أن الـQN بتثوره في VIN ضالفة
+
+258
+00:20:46,390 --> 00:20:50,070
+واحدة من الباب جزء من الكورة الجزء من الكورة حجم
+
+259
+00:20:50,070 --> 00:20:53,110
+ما بعرفهش يقول عنه VIN يعني الحجم اللي داخل سطح
+
+260
+00:20:53,110 --> 00:20:58,510
+جاوس مش اي سطح مغلق بيحوز جواته حجم هاي الحجم اللي
+
+261
+00:20:58,510 --> 00:21:01,670
+بدي إياها يعني الشحنات اللي جواته هي الشحنات اللي
+
+262
+00:21:01,670 --> 00:21:05,130
+متكون موجودة في VIN ولا لأ؟ اه هاي الشحنات اللي
+
+263
+00:21:05,130 --> 00:21:13,790
+بدك إياها حلو تبقى VIN تقدر تجيبها4 over 3 by R²
+
+264
+00:21:13,790 --> 00:21:17,890
+صح ولا لأ؟ حجم الكورة بتعرفه؟ طب روحها دي من وين
+
+265
+00:21:17,890 --> 00:21:22,090
+جبتها؟ روح ماعاله مادتنا إياها بدي أستخدمها من ضمن
+
+266
+00:21:22,090 --> 00:21:26,150
+المعطيات؟ لأ طب جيبها بدلالة معطياتك انت قولت روح
+
+267
+00:21:26,150 --> 00:21:29,770
+بيسوي شحنة على حجم الشحنة الكل إياها ماعطيك إياها
+
+268
+00:21:29,770 --> 00:21:35,590
+طب الحجم الكل معطى؟ مقدرين جيبه؟ اذا ممكن تجيب روح
+
+269
+00:21:35,590 --> 00:21:39,350
+بدلالة capital Q الحجم الكل ولا لأ؟ اذا معناته
+
+270
+00:21:39,350 --> 00:21:44,320
+بقولعن هذه الشحنات اللي بتديها صح شباب الشحنات هذه
+
+271
+00:21:44,320 --> 00:21:47,400
+بتساوره في الحجم الكل يواصل بحجم الشغلاء اللي
+
+272
+00:21:47,400 --> 00:21:52,080
+قاعدها بتومض بس هي وهذه اللي انا سميتها V-N
+
+273
+00:21:52,080 --> 00:21:56,600
+اعطيتها رمز V-N واقع شباب بس مجانا انا اذا مارح
+
+274
+00:21:56,600 --> 00:22:01,990
+الأمور شغلmathematics بسيط كان في المدارس ناخده
+
+275
+00:22:01,990 --> 00:22:06,010
+بقول where rho is the volume times density knowing
+
+276
+00:22:06,010 --> 00:22:11,830
+that V in equal 4 over 3 by R cubic صح ولا لأ؟ and
+
+277
+00:22:11,830 --> 00:22:18,290
+rho اللي انت جبته ومعلومة صحيحة equal capital Q
+
+278
+00:22:18,290 --> 00:22:22,270
+capital Q the charge of the total sphere over the
+
+279
+00:22:22,270 --> 00:22:28,540
+total volumeعلى over four by إيه تكعيب؟ خلاص هذه
+
+280
+00:22:28,540 --> 00:22:32,520
+أنا عرفت وهذه أنا عرفت هيها لو جيت على الواضح بدل
+
+281
+00:22:32,520 --> 00:22:38,860
+raw بدقول Q على أربعة over three by R square sorry
+
+282
+00:22:38,860 --> 00:22:44,220
+A cubic وبدل V in ايش بدي أحط؟ أربعة over three by
+
+283
+00:22:44,220 --> 00:22:50,220
+R cubic هجيت هذا وهذا بطير صح ولا لأ؟ إذا ال Q in
+
+284
+00:22:50,220 --> 00:22:56,110
+اللي بتدور عليها لجيتهابتسوي capital QR تكعيب على
+
+285
+00:22:56,110 --> 00:23:00,470
+A تكعيب طبعا ال QN بجلالة كل المعطيات بجلالة
+
+286
+00:23:00,470 --> 00:23:05,390
+capital Q معطى A the radius of the sphere معطى وR
+
+287
+00:23:05,390 --> 00:23:09,270
+بعد النقطة ما هو ما ايه ضد ال DA the close
+
+288
+00:23:09,270 --> 00:23:13,070
+integration E ضد ال DA equal QN على epsilon not ال
+
+289
+00:23:13,070 --> 00:23:16,430
+QN انعرفت ولا ما انعرفتش انعرفت E بطلحها برا ولا
+
+290
+00:23:16,430 --> 00:23:22,170
+بطلحاش برا طلحها اشتكمل ال DA ومجدش A بسويأربعة
+
+291
+00:23:22,170 --> 00:23:31,890
+عضاي R² صح ولا لأ فطلعش جوا خلاص اشتغل فيه R كيبك
+
+292
+00:23:31,890 --> 00:23:38,190
+و هنا فيه R² ايش بالضبط ال bus R طلعش جوا خلاص
+
+293
+00:23:38,190 --> 00:23:42,050
+just
+
+294
+00:23:42,050 --> 00:23:47,330
+to comment on the answer at the center of the
+
+295
+00:23:47,330 --> 00:23:52,780
+sphere what is the value of small rzero يعني ايه
+
+296
+00:23:52,780 --> 00:23:57,860
+جدش عند ال center؟ zero طب هذا منطقي بيقولي ايه هو
+
+297
+00:23:57,860 --> 00:24:02,500
+من السفر بس في المركز السفر ارجعكم للكرة الأرضية
+
+298
+00:24:02,500 --> 00:24:10,280
+جدش الجاذبية عند الكرة الأرضية في مركزها؟ ليش؟ لأ
+
+299
+00:24:10,280 --> 00:24:18,720
+هو المسافة السفر لأ طب R احكي
+
+300
+00:24:20,900 --> 00:24:25,220
+هي هيك .. هي هيك .. انا شرحتها في زيارة الشباب ..
+
+301
+00:24:25,220 --> 00:24:30,820
+اعيدها .. هاي الكواء المصمقة من جميع الجهات .. بدي
+
+302
+00:24:30,820 --> 00:24:34,600
+شدتي المجال عند النقطة هذه .. حاجات بتقدر تقولوا
+
+303
+00:24:34,600 --> 00:24:39,780
+ان هذه النقطة محاطة باعداد متساوية من الشحنات من
+
+304
+00:24:39,780 --> 00:24:45,360
+جميع الجهات .. بش في symmetry؟ طيب .. هذه النقطة
+
+305
+00:24:45,360 --> 00:24:47,300
+الصارة
+
+306
+00:24:49,030 --> 00:24:52,990
+أدلة سنتر هنا في أي مكان فيه شحنات لو كان هنا فيه
+
+307
+00:24:52,990 --> 00:24:55,830
+شحنة في جبالها ولا لا او جدول شدة المجال تبع
+
+308
+00:24:55,830 --> 00:25:03,470
+الشحنة هذه طب تبع حد اجمعهم Zero طب لو هنا فيه
+
+309
+00:25:03,470 --> 00:25:12,530
+شحنة و هنا فيه شحنة زيها هنا و هنا لغوا
+
+310
+00:25:12,530 --> 00:25:16,930
+بعض وبالتالي مبتقى ان يكون شدة المجال Zero لكن لو
+
+311
+00:25:16,930 --> 00:25:21,020
+كانت المطبع مش أدلة سنتر هنابقول هذا بيلاقي جزء
+
+312
+00:25:21,020 --> 00:25:25,320
+هذا بيلاقي جزء هذا أصل له قيمة صح ولا لأ؟ إذا
+
+313
+00:25:25,320 --> 00:25:27,420
+اندعونات وين؟ بيكون مقعد الـcenter لأنه فيه
+
+314
+00:25:27,420 --> 00:25:31,680
+symmetry وبالتالي the net electric field is zero
+
+315
+00:25:31,680 --> 00:25:36,140
+at the center لأن أنا بتعامل مع vectors إذا الشغفة
+
+316
+00:25:36,140 --> 00:25:38,740
+منطقية إنه at the center equal to zero مافيش أي
+
+317
+00:25:38,740 --> 00:25:46,630
+إشكالية كمان مثال الآن في المثالين السابقينمع
+
+318
+00:25:46,630 --> 00:25:50,770
+المثال الأول وهو ال pointy charge في التلت حالات
+
+319
+00:25:50,770 --> 00:25:54,930
+ال charge
+
+320
+00:25:54,930 --> 00:26:00,330
+distribution is spherical و ال spheres ينطبق عليها
+
+321
+00:26:00,330 --> 00:26:05,030
+قانون gauss بدي اشوف نوع اخر بيقول you find the
+
+322
+00:26:05,030 --> 00:26:08,990
+electric field E at a distance r from an infinite
+
+323
+00:26:08,990 --> 00:26:19,000
+line خط سطوانة رفيعةطيب الاستوانة يعني تبقى عليها
+
+324
+00:26:19,000 --> 00:26:23,720
+قانون جاهز بشرط تكون ايش infinite line خلاص حللي
+
+325
+00:26:23,720 --> 00:26:30,540
+المشكلة infinite line of charge of uniform density
+
+326
+00:26:30,540 --> 00:26:34,080
+لامده وقتك لامده جاهزة جالك لامده مابديش يديكي Q
+
+327
+00:26:34,080 --> 00:26:37,460
+طبعا مابديش يديكي Q عشان الطول مش معروف يا شباب
+
+328
+00:26:38,130 --> 00:26:41,190
+مشهورية طويلة جدا فجال أكلام ده و خلاص مديش ال ..
+
+329
+00:26:41,190 --> 00:26:45,510
+جيبلي جديش ال cue لإنه هذا طويل جدا هاي الخط هذا
+
+330
+00:26:45,510 --> 00:26:48,710
+كل المشحون شحنات موجة بشايفينه محطوط الزاعت عليه
+
+331
+00:26:48,710 --> 00:26:54,250
+طيب لو أجينا و بدوا شدت المجال عنده نقطة هذه اللي
+
+332
+00:26:54,250 --> 00:27:02,420
+تبعد مسافة Rالقانون الجوز ينطبق قانون الجوز لأننا
+
+333
+00:27:02,420 --> 00:27:07,760
+لدينا سليندر و سليندر كافية لذلك ينطبق القانون
+
+334
+00:27:07,760 --> 00:27:11,920
+الجوز.الدرجة الثانية هي الاختيار مصادر جوزية
+
+335
+00:27:13,250 --> 00:27:19,070
+الكورات تنفع؟ تنفعش جالي لازم سطح جاوس يكون بيشبه
+
+336
+00:27:19,070 --> 00:27:23,810
+الجسم المشحون الجسم المشحون أسطواني طب كيف بتختار
+
+337
+00:27:23,810 --> 00:27:28,630
+الأسطوانة؟ تختارها واقفة ولا نايمة ولا ميلة؟ جالي
+
+338
+00:27:28,630 --> 00:27:31,130
+هو حكال أسطوانة بيقول لازم يكون لها نفس ال
+
+339
+00:27:31,130 --> 00:27:34,590
+symmetry بيقول هذا ال line هذا ال line جزء من
+
+340
+00:27:34,590 --> 00:27:38,750
+أسطوانة أصلا طب تخيل هو جزء من أسطوانة الأسطوانة
+
+341
+00:27:38,750 --> 00:27:42,410
+العيلة تبعته اللي هي الأسطوانة كيف بيكون شكلها؟
+
+342
+00:27:43,250 --> 00:27:48,370
+واقفة ولا مش واقفة؟ اذا هاي عيلته هاي أصله تمام؟
+
+343
+00:27:48,370 --> 00:27:53,390
+اذا Gaussian surface as a Gaussian surface we
+
+344
+00:27:53,390 --> 00:27:58,230
+select a circular cylinder سلنته قائم أفريقيا's
+
+345
+00:27:58,230 --> 00:28:02,690
+are with high H and coaxial with the line charge
+
+346
+00:28:02,690 --> 00:28:08,570
+ومتحدة ال axis المحور معها عشان تظبط معاها هاي سطح
+
+347
+00:28:08,570 --> 00:28:18,230
+جاوس هذا هو سطح جاوستمام الان اخترت صح انا لازم
+
+348
+00:28:18,230 --> 00:28:24,430
+ايه تكون ثابتة و لو واحد يختار كرة ممنوع ينجح وإلا
+
+349
+00:28:24,430 --> 00:28:28,690
+بيكون كل واحد يختار سطح اللي بدويا صح ولا لا بداية
+
+350
+00:28:28,690 --> 00:28:33,470
+شباب فتقوا من هذا اتصوروا انتوا واحد يختار كرة
+
+351
+00:28:33,470 --> 00:28:37,890
+كانت حلوة وانا اتفويت عليها بدي اختار كرةسطح مغلق
+
+352
+00:28:37,890 --> 00:28:43,190
+سطح مغلق هل بقدر اتأكد انه he is constants on the
+
+353
+00:28:43,190 --> 00:28:47,250
+surface تصوروا انتوا ال line شباب هيك و الكورة
+
+354
+00:28:47,250 --> 00:28:51,950
+محوطة من جميع الجهات هل هذا الجلم هيكون يخترق
+
+355
+00:28:51,950 --> 00:28:54,870
+الكورة ولا مش هيخترقهاطبعا لما يكون هو ..
+
+356
+00:28:54,870 --> 00:28:58,690
+فهيخترقها يعني في نقطة جريدة عليه كتير ولا لا؟ وفي
+
+357
+00:28:58,690 --> 00:29:01,770
+نقطة هنا بعيدة عليه ولا مش بعيدة؟ هل E هنا و هنا
+
+358
+00:29:01,770 --> 00:29:05,270
+الواحد؟ اذا E is not constant on the surface so
+
+359
+00:29:05,270 --> 00:29:12,050
+the sphere cannot be a good Gaussian surface طيب
+
+360
+00:29:12,050 --> 00:29:14,130
+.. واحد بيقول انت بتضحك عليه انا طب ما هو هنا
+
+361
+00:29:14,130 --> 00:29:19,970
+اخترق القاعدة و لا ماخترقهاش؟ مش اخترقها؟ معناته
+
+362
+00:29:19,970 --> 00:29:21,070
+هنا
+
+363
+00:29:22,980 --> 00:29:26,320
+و هنا نقطتين مابيبعدوش على نفس المسافة طب كيف
+
+364
+00:29:26,320 --> 00:29:31,580
+نحلها؟ خلنا نشوف هناك قلتلي لأ؟ طب هنا ليش؟ انت
+
+365
+00:29:31,580 --> 00:29:33,680
+بصحيلك و انا بصحي ليش؟ احكي
+
+366
+00:29:39,740 --> 00:29:43,760
+مافيش عصر التكامل كله هيروح موضوع كلامك بتحل
+
+367
+00:29:43,760 --> 00:29:48,440
+المشكلة يعني بيبقى عن أخر الكورة كام سطح لها واحد
+
+368
+00:29:48,440 --> 00:29:52,340
+لما كنت أتعامل و أحط التكامل و أبدأ أشتغل لما جيبت
+
+369
+00:29:52,340 --> 00:29:57,340
+الفكس للمكعب، ذاكرينه؟ التكامل كام تكامل صار؟ ستة
+
+370
+00:29:57,340 --> 00:30:00,700
+هنا الصوانة كام سطح لها تلاتة إذا التكامل كام
+
+371
+00:30:00,700 --> 00:30:04,380
+تكامل بيصير و بيصير اتعامل مع كل تكامل على حدة
+
+372
+00:30:04,380 --> 00:30:09,500
+بطلت أتعامل مع تكامل واحدهذه الاتفاق وقعدش وخلصتها
+
+373
+00:30:09,500 --> 00:30:13,020
+هاي خطوط المجال زي ما هو حكى لي مظبوط ولا لأ طب
+
+374
+00:30:13,020 --> 00:30:18,700
+هاي خطوط مجال كتيرة وفي عندي هم صحيحة ولا لأ تمام
+
+375
+00:30:18,700 --> 00:30:25,040
+في ملاحظة لازم نعرفها أنا سطح جاس رسمته صغير ايه
+
+376
+00:30:25,040 --> 00:30:29,340
+ده متشافى ليه بعيد طلاب ما انتوا عارفين طالب كريم
+
+377
+00:30:29,340 --> 00:30:32,280
+ولا كده يقولوا دكتور مابيخلوا يحطوا اللي سطح جاس
+
+378
+00:30:32,280 --> 00:30:36,300
+صغير بيجي عصارز زي هذا بيقول هو يعني قضبنا حرم
+
+379
+00:30:36,300 --> 00:30:42,200
+اللي نعمل غيكروح مختلفة تحكي اقوسيك شوف
+
+380
+00:30:42,200 --> 00:30:49,720
+هنا في مشكلة كبيرة هو انا مش طارد ال line تكون
+
+381
+00:30:49,720 --> 00:30:54,540
+infinite ليش؟ عشان ابعد عن ايش؟ عشان ابعد عن
+
+382
+00:30:54,540 --> 00:30:57,770
+الأطراف و انت ليش لاحقهم؟إذا انحجت الأطراف مش
+
+383
+00:30:57,770 --> 00:31:01,150
+هتعرف تشتغل صح قد يحفر ديكم هتكون في مشكلة كبيرة
+
+384
+00:31:01,150 --> 00:31:04,250
+عندك وبالتالي أول أنا ما أشوف صوت حجاز هيك بقول
+
+385
+00:31:04,250 --> 00:31:08,150
+هذا باصم لإنه هطلع إيه برا التكامل و هي إيه مش برا
+
+386
+00:31:08,150 --> 00:31:13,290
+التكامل مش ثابتة حال غلط وبالتالي احنا لو وقت
+
+387
+00:31:13,290 --> 00:31:15,870
+صحيلي أزغر أكتر من كده كنت أزغرته بس عشان أكون
+
+388
+00:31:15,870 --> 00:31:20,170
+واضحة في الشريعة ممنفعش ألحج الأطراف شباب الأطراف
+
+389
+00:31:20,170 --> 00:31:23,490
+عاملة مشكلة واحنا حكينا أن الأطراف is not uniform
+
+390
+00:31:23,490 --> 00:31:29,500
+وبالتالي بعيد عنهاسطح جاس مش مفروض يكون جريب على
+
+391
+00:31:29,500 --> 00:31:34,320
+الأطراف تمام؟ إذا أنا سطح جاس اختارته طبعا خطوط
+
+392
+00:31:34,320 --> 00:31:40,560
+المجال اللي أنا رسمتها شباب يظهر في خط هيك ولا لأ؟
+
+393
+00:31:40,560 --> 00:31:43,500
+وفي خط رايحيك وفي خط كله يعني استوانة طبعا لدي
+
+394
+00:31:43,500 --> 00:31:46,900
+خطوط طبعا واضح إنه ما زال أنا بعيد عن الأطراف فهي
+
+395
+00:31:46,900 --> 00:31:49,780
+parallel lines يعني uniform electric field مافيش
+
+396
+00:31:49,780 --> 00:31:56,300
+إشكالية الآن بيقولليبسبب أن السليندر لديه ثلاث
+
+397
+00:31:56,300 --> 00:32:02,080
+مصادر التكامل التكامل كان تكامل التكامل في جوزيزلو
+
+398
+00:32:02,080 --> 00:32:03,940
+يجب أن يكون مقاطعًا في ثلاث أجزاء التكامل التكامل
+
+399
+00:32:03,940 --> 00:32:08,160
+التكامل التكامل في ثلاث أجزاء التكامل التكامل
+
+400
+00:32:08,160 --> 00:32:18,880
+التكامل التكامل التكامل التكامل التكامل
+
+401
+00:32:18,880 --> 00:32:22,220
+التكامل التكامل التكامل التكامل التكامل التكامل
+
+402
+00:32:22,220 --> 00:32:22,320
+التكامل التكامل التكامل التكامل التكامل التكامل
+
+403
+00:32:22,320 --> 00:32:23,760
+التكامل
+
+404
+00:32:26,260 --> 00:32:30,160
+تمام؟ واحدة واحدة ليه ييجي واحد واحد؟ طيب انتوا
+
+405
+00:32:30,160 --> 00:32:34,240
+ملاحظين ان هنا إشارة اللي أغلق روحت لأن كل واحدة
+
+406
+00:32:34,240 --> 00:32:39,480
+مغلقة؟ لأ اما كله مع بعض مغلق لكن ال base لحالها
+
+407
+00:32:39,480 --> 00:32:44,180
+disk مش مغلقة ال base التحتانية disk اللي ملوم هو
+
+408
+00:32:44,180 --> 00:32:49,600
+مفتوح من فوق ومن تحت ولا لأ؟ اذا هنا we don't have
+
+409
+00:32:49,600 --> 00:32:54,340
+the closed circle تمام؟ واحدة واحدةنتطلع على الباس
+
+410
+00:32:54,340 --> 00:33:00,080
+الفجانية تطلعوا عليها شباب هذا هي كيف ال A تبعتها؟
+
+411
+00:33:00,080 --> 00:33:05,360
+مش لازم تكون عمودية ولا أعلى برا إذا لا فوق هي A
+
+412
+00:33:05,360 --> 00:33:11,240
+جديش الزاوية بين A و E تسعين و جديش كصينة تسعين
+
+413
+00:33:11,240 --> 00:33:17,660
+إذا أول تكامل روح إذا المشكلة اللي إنت كانت عندك
+
+414
+00:33:17,660 --> 00:33:23,390
+بالقرة هنا موجودة بس ريحتني منها productواضح يا
+
+415
+00:33:23,390 --> 00:33:27,950
+شباب؟ حتى لو E مش ثابتة، بلزم كاش اطلع E برا، وانا
+
+416
+00:33:27,950 --> 00:33:31,210
+ليش بدي اطلع E برا؟ مش عشان ان انا أكامل؟ طب لما
+
+417
+00:33:31,210 --> 00:33:36,150
+اتكامل هو سقوب طوح، يعطيه العافية، E برق، جولة
+
+418
+00:33:36,150 --> 00:33:41,890
+جوا، it doesn't mean anything، روحت، تفهم يا شباب؟
+
+419
+00:33:41,890 --> 00:33:46,250
+إذا مافيش عندي ملكي لا، constant ولا مش constant،
+
+420
+00:33:46,250 --> 00:33:51,570
+تفرقش معاهطبعا شباب طب عادى كيف ايه تبعتها لأسفل
+
+421
+00:33:51,570 --> 00:33:55,010
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+422
+00:33:55,010 --> 00:33:55,130
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+423
+00:33:55,130 --> 00:33:55,290
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+424
+00:33:55,290 --> 00:33:59,530
+لأسفل لأسفل لأسفل
+
+425
+00:33:59,530 --> 00:34:04,410
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+426
+00:34:04,410 --> 00:34:10,230
+لأسفل لأسفل لأسفل لأسفل
+
+427
+00:34:10,230 --> 00:34:17,710
+لأسحلو هاي اللي بدي انا فى حد انه ماشي بيقول انا
+
+428
+00:34:17,710 --> 00:34:22,210
+جربت او ابعدت عن ال line لأ لإنه انا صرت محاطق
+
+429
+00:34:22,210 --> 00:34:26,350
+تحوير زى جوائر هى ومش جائرة هو عبارة عن رنجات فى
+
+430
+00:34:26,350 --> 00:34:29,630
+البعد وبالتالي و انا مروح انا انا نفسي طب كيف بدي
+
+431
+00:34:29,630 --> 00:34:36,720
+اجيب ال aهذا كيف ايه تبعته؟ مش هذا curved و أي سطح
+
+432
+00:34:36,720 --> 00:34:41,220
+جيه curved ايه بتكون مع أنصاف الأقطار مش هيك
+
+433
+00:34:41,220 --> 00:34:44,600
+اتفقنا أنصاف الأقطار هيه هيه هيه هيه هيه هيه هيه
+
+434
+00:34:44,600 --> 00:34:44,840
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+435
+00:34:44,840 --> 00:34:45,180
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+436
+00:34:45,180 --> 00:34:45,340
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+437
+00:34:45,340 --> 00:34:45,560
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+438
+00:34:45,560 --> 00:34:45,720
+هيه هيه هيه هيه هيه هيه هيه هيه
+
+439
+00:34:52,900 --> 00:35:00,140
+هنا هذا E is outside the integration because it is
+
+440
+00:35:00,140 --> 00:35:04,440
+constant the dot product is eliminated because E
+
+441
+00:35:04,440 --> 00:35:09,860
+and DA are parallel وتكامل ال DA ايه؟ ايه تبقى
+
+442
+00:35:09,860 --> 00:35:15,620
+عميل هذا؟ تبقى ال cared surface المساحة الجانبية
+
+443
+00:35:15,620 --> 00:35:22,590
+للقصوانة جديشمحيط القاعدة في الارتفاع
+
+444
+00:35:22,590 --> 00:35:27,250
+بقول from the symmetry of the system الكلام اللي
+
+445
+00:35:27,250 --> 00:35:35,420
+حكيته كاتبه بس E is parallel to both basesموازي ال
+
+446
+00:35:35,420 --> 00:35:39,040
+ال bases يعني عمودي على ال area تبعتهم furthermore
+
+447
+00:35:39,040 --> 00:35:44,660
+it has a constant magnitude and directed radially
+
+448
+00:35:44,660 --> 00:35:48,580
+outward at every point on the curved surface of
+
+449
+00:35:48,580 --> 00:35:55,020
+the cylinder واضح موازي ال ال bases بيكون ثابت على
+
+450
+00:35:55,020 --> 00:35:59,240
+ال curved و radially يعني موازي ال دي ايه تبعت ال
+
+451
+00:35:59,240 --> 00:36:05,130
+curve basis تمامهجيت اتش هذه مش انا اللي اختارتها
+
+452
+00:36:05,130 --> 00:36:09,110
+لو انت جيت اختارت واحدة تانية نفس الاتش هتختار؟
+
+453
+00:36:09,110 --> 00:36:13,030
+لأ، اذا المفروض في جواب ما تبينش يا بالكم صح ولا
+
+454
+00:36:13,030 --> 00:36:18,290
+لأ؟ وإلا عشان نقولك طالب اللي بدي أخد ال service
+
+455
+00:36:18,290 --> 00:36:22,170
+كبير يقولك انت بتطلع جوابي أكبر، بأخد علامات أكبر،
+
+456
+00:36:22,170 --> 00:36:26,330
+لأ مش هتبين اتشمش هتبين انت وجعت في المشكلة لكن
+
+457
+00:36:26,330 --> 00:36:30,710
+جوابك مش هيتغير يعني الـH اللي كبرتها مش هتستفيد
+
+458
+00:36:30,710 --> 00:36:36,130
+منها بس من جوابك وجعت حالك فيه مشكلة تم اي في اي
+
+459
+00:36:36,130 --> 00:36:41,290
+مش اتفقنا هيك اي محيط القاعدة في الارتفاع to buy R
+
+460
+00:36:41,290 --> 00:36:45,070
+في H بس هو Q in على epsilon اضطرر عليها مشكلة Q in
+
+461
+00:36:45,070 --> 00:36:53,630
+هل كلها بدياها؟ هل هذه الشحنات اللي هم بدياها؟هدول
+
+462
+00:36:53,630 --> 00:36:59,370
+outside و هدول ايش بدي بس هدول صح ولا لأ طب جزء من
+
+463
+00:36:59,370 --> 00:37:03,870
+كل ولا لأ و انا كل بدي جزء من كل و لما كل بدي جزء
+
+464
+00:37:03,870 --> 00:37:07,330
+من كل بدي اروح لمين ل recharge in cities المرة دي
+
+465
+00:37:07,330 --> 00:37:12,990
+اروحنا هو المرة دي اروح لمين لأ لأ حتي خلصنا منها
+
+466
+00:37:13,490 --> 00:37:17,350
+تمام الان الـ total charge .. charge inside the
+
+467
+00:37:17,350 --> 00:37:20,950
+Gaussian surface is only the charge of the part
+
+468
+00:37:20,950 --> 00:37:24,810
+inside the surface اي شحنات بدك بقولي بس بدي هدول
+
+469
+00:37:24,810 --> 00:37:31,430
+بس هدول انا هاي اللي لازمين ليه الباقي بديهم لأ طب
+
+470
+00:37:31,430 --> 00:37:35,370
+هدول ايه اللي بدي اسويهم نرجع باب وضعفة جزر بدي
+
+471
+00:37:35,370 --> 00:37:38,450
+lambda في كل السلك ولا بس في الطول اللي جوا طب
+
+472
+00:37:38,450 --> 00:37:40,190
+الطول اللي جوا قداش اتش
+
+473
+00:37:42,750 --> 00:37:48,550
+متابعين شباب؟ إذا المعناته Qn بتساوي Lambda في H
+
+474
+00:37:48,550 --> 00:37:53,290
+مش Lambda في كل السلك و Lambda معطل مرة هذه مابتدش
+
+475
+00:37:53,290 --> 00:37:56,510
+يعني يغيرها لأنه من ضمن المعطيات خلي جوابك بدلالة
+
+476
+00:37:56,510 --> 00:38:01,710
+Lambda Now we are كل جهز و هذه جهزة هنا بدي أحط
+
+477
+00:38:01,710 --> 00:38:08,050
+شباب Lambda بH إيه صار في H؟ إهرقوا إذا انبطلت
+
+478
+00:38:08,050 --> 00:38:12,530
+تبين Hوبالتالي إيه جوابي وجوابك حتى لو كان Gauss
+
+479
+00:38:12,530 --> 00:38:16,990
+surface زغرطه أكتر مني هيطلع نفسي جواب صح أو لأ تم
+
+480
+00:38:16,990 --> 00:38:23,070
+هيأتش إذا E بيسوى Lambda على 2 Pi R over Epsilon
+
+481
+00:38:23,070 --> 00:38:27,670
+Note هاي الجواب طبعا ليش كاتب هنا اللي طبعا حكيته
+
+482
+00:38:27,670 --> 00:38:33,460
+ماحد يتقارن ويحط صدح Gauss كبيربيقول لي not that
+
+483
+00:38:33,460 --> 00:38:37,620
+if the wire is not too long او سطح جوز اللي حبته
+
+484
+00:38:37,620 --> 00:38:42,780
+انت اما السلك مش طويل بحيث ان الأطراف تكون ايش if
+
+485
+00:38:42,780 --> 00:38:45,780
+the wire is not too long بيقولي انت ليش مش شرط
+
+486
+00:38:45,780 --> 00:38:49,840
+عليها تكون infinite بيقوللي it's in ده في هذه
+
+487
+00:38:49,840 --> 00:38:53,540
+الحالة أطرافها will be closed to any Gaussian
+
+488
+00:38:53,540 --> 00:38:58,760
+surface في هذه الحالةهنا المجال مش هيكون هيك شباب
+
+489
+00:38:58,760 --> 00:39:04,260
+هيكون هيك صح ولا لأ هل في هذه الحالة ايه بيعمل زي
+
+490
+00:39:04,260 --> 00:39:09,720
+90 مع ال base لا إذا كل إيش اتغير عندك its end
+
+491
+00:39:09,720 --> 00:39:12,700
+will be close to any Gaussian surface هيصير
+
+492
+00:39:12,700 --> 00:39:16,340
+الأطراف جريبة على ال Gaussian surfaces على التلاتة
+
+493
+00:39:16,340 --> 00:39:21,960
+على ال bases بالذاتبما أن المجال الهيكليكي اعلى أو
+
+494
+00:39:21,960 --> 00:39:26,180
+قريب من النهاية ليس مرتزم بما أن شدة المجال عند
+
+495
+00:39:26,180 --> 00:39:30,260
+الأطراف أو جانب من الأطراف لاتكون منتظمه لن يكون
+
+496
+00:39:30,260 --> 00:39:35,040
+ممكن أن تتكامل الانتجرال لأن الانتجرال لاتتطلع إيه
+
+497
+00:39:35,040 --> 00:39:38,840
+برا تكامل صح ولا لأ وبالتالي التكامل وقفت عنده بدك
+
+498
+00:39:38,840 --> 00:39:42,740
+علاقة وانت مطلوب منك تجيب إيه كيف بدي أجيب علاقة
+
+499
+00:39:42,740 --> 00:39:49,190
+بحط التكاملE ضف في الـDA Base زي دي التانية زي دي
+
+500
+00:39:49,190 --> 00:39:53,470
+تالتة وماقف ماقدرش أعمل أي خطوة بعد كده لأنه في
+
+501
+00:39:53,470 --> 00:39:57,700
+هذه الحالة لو كان قصير فقدر تطلع حد براأو تقول إن
+
+502
+00:39:57,700 --> 00:40:03,420
+الزاوية تسعين برضه لأ إذا شغله كله بيجعى إذا
+
+503
+00:40:03,420 --> 00:40:07,000
+شايفين إنه لو ماكنش طويل وين بنجعى بنجعى فيه أكتر
+
+504
+00:40:07,000 --> 00:40:10,860
+من شغلة عشان كده بنشترط احنا من أول إن ال line
+
+505
+00:40:10,860 --> 00:40:16,200
+must be infinite for E to be uniform وإلا بصير
+
+506
+00:40:16,200 --> 00:40:19,240
+جاوس بصير فسبحله بطريقة تانية بحله بس بطريقة مش
+
+507
+00:40:19,240 --> 00:40:23,100
+طريقة جاوس فطريقة الجاوس ماقدرش أشتغل في أي
+
+508
+00:40:23,100 --> 00:40:28,640
+استفسار شباب؟طب على هذا كيف ممكن أحله بطريقة
+
+509
+00:40:28,640 --> 00:40:32,100
+الشطرة اللي موجودة؟ في سؤال في الكتاب بس أنا متأكد
+
+510
+00:40:32,100 --> 00:40:35,640
+أنه لسه محلتهوش انتوا كيف تجيبوه؟ هذا سهل بجيبه
+
+511
+00:40:35,640 --> 00:40:41,000
+أنا المرة هذه جيبت line زي هيك و جيبته نقطة هنا و
+
+512
+00:40:41,000 --> 00:40:46,240
+حلته كمثال صح؟ المرة هذه خلّي النقطة هنا حله
+
+513
+00:40:46,240 --> 00:40:51,360
+بالمناقش بحله و قاللي هذه إيه الشباب؟ في آخر حالة
+
+514
+00:40:51,360 --> 00:40:55,380
+الجواب بقولك let ال go through ملا نهايةمش بصير
+
+515
+00:40:55,380 --> 00:40:58,540
+طويل كتير لما الـgoes from النهاية لازم يطلع
+
+516
+00:40:58,540 --> 00:41:03,760
+الجواب هذا فبنحلط طبعا بنحلط بصفحتين يمكن طبعا أما
+
+517
+00:41:03,760 --> 00:41:09,820
+بجوزله لو راحت سريع بحلله بسطرية بس كاتبلك تحت let
+
+518
+00:41:09,820 --> 00:41:15,720
+ال go from ال نهاية يمكن هو
+
+519
+00:41:15,720 --> 00:41:22,930
+انت صعوبة السؤال من طوله لأ طوله بدواجتصح ولا لأ؟
+
+520
+00:41:22,930 --> 00:41:27,910
+يعني لو واحد قال لك اكتب جدول الدرب من واحد لمية
+
+521
+00:41:27,910 --> 00:41:32,450
+يبقى دي مصعبه؟ لأ بس يبقى دي مطوله صح ولا لأ؟ اذا
+
+522
+00:41:32,450 --> 00:41:35,770
+طول السؤال مش هو اللي بحدد الصعوبة طبعا في نهاية
+
+523
+00:41:35,770 --> 00:41:38,830
+الوقت بلعب دور ان هو كيف يجيب لك اياه بديه اجري
+
+524
+00:41:38,830 --> 00:41:42,290
+كله بيقوله صح او عفيا بحل السؤال صح ولا لأ؟ اذا مش
+
+525
+00:41:42,290 --> 00:41:45,610
+طول السؤال اللي بحدد صعوبة او سهولة السؤال في عيسف
+
+526
+00:41:45,610 --> 00:41:49,280
+صار شبابهذه الـ Gauss's law حلناها على الـ
+
+527
+00:41:49,280 --> 00:41:52,820
+spherical shapes وحلناها على ال cylindrical shapes
+
+528
+00:41:52,820 --> 00:41:55,680
+الـ cylindrical shape كان شرطه أن يكون طويل
+
+529
+00:41:55,680 --> 00:42:00,040
+واتفقنا إن عدم أن يكون طويل جدا مش بيعمل ليه مشاكل
+
+530
+00:42:00,040 --> 00:42:04,660
+ايه مافيه لهم واحنا قاعدين نشتغل وجينا وين بجف بجف
+
+531
+00:42:04,660 --> 00:42:07,860
+التكاملات وانا هاي المشكلة أن التكاملات ماقدرش
+
+532
+00:42:07,860 --> 00:42:12,200
+أحلها فبالتالي لو كان السلك قصير أو Gauss's
+
+533
+00:42:12,200 --> 00:42:18,390
+surface راح على الأطراف معناته انتاجية بمشكلةكمان
+
+534
+00:42:18,390 --> 00:42:21,350
+مثال دلوقتي عندي شكل واحد ال planes صح ولا لأ
+
+535
+00:42:21,350 --> 00:42:25,670
+بيقول you find the electric field E due to a non
+
+536
+00:42:25,670 --> 00:42:30,950
+-conducting infinity plane infinity plane plane و
+
+537
+00:42:30,950 --> 00:42:35,010
+infinity يعني كبير جدا اللي بدك إيه with uniform
+
+538
+00:42:35,010 --> 00:42:39,930
+surface اتشار الجنسة sigma والاتشار الجنسة مُعطية
+
+539
+00:42:39,930 --> 00:42:46,520
+إليك إنها sigmaو بلين و اشتغلنا على هذا الأساس و
+
+540
+00:42:46,520 --> 00:42:51,420
+هاي البلين واقف وقف جيبت ورقة non conducting يعني
+
+541
+00:42:51,420 --> 00:42:55,840
+من الورق ورقة الورق ال conductor لأ مشحون عطيت
+
+542
+00:42:55,840 --> 00:42:58,620
+عليها شحنات و المكان طبعا الورقة شباب لما تكون
+
+543
+00:42:58,620 --> 00:43:01,220
+conductor و انا شاحنها بيكون ع الشجة دي فيه شحنات
+
+544
+00:43:01,220 --> 00:43:04,280
+وع الشجة دي فيه شحنات وإن ما حطيت إيدك في ورق فيه
+
+545
+00:43:04,280 --> 00:43:07,960
+شحنات تمام؟ وبالتالي عايزين كده احطلك ال conductor
+
+546
+00:43:07,960 --> 00:43:10,480
+إيه الخاصية بنحكي عنها و بعدين تمام؟
+
+547
+00:43:12,830 --> 00:43:16,790
+طب والله أنا صنع خطوط المجال مش هيك حاجات انت لما
+
+548
+00:43:16,790 --> 00:43:20,370
+في عندي ورقة مشهونة شباب هي مجال و هي مجال و هي
+
+549
+00:43:20,370 --> 00:43:23,670
+مجال و من هنا مجالات طبعا عندي الأطراف عاملة مشكلة
+
+550
+00:43:23,670 --> 00:43:26,890
+أنا الأطراف مش شايفها لكن ها يعني زي ما بيقول
+
+551
+00:43:26,890 --> 00:43:29,470
+اللوح هذا كله مشهون بيقول هي خط جاي من هنا و خط
+
+552
+00:43:29,470 --> 00:43:32,930
+رايح هيك جنبه خط من هنا و خط رايح هيك و هكذا هي
+
+553
+00:43:32,930 --> 00:43:40,690
+خطوط المجالالأول خطوة يجب أن نختار إذا كان ممكن
+
+554
+00:43:40,690 --> 00:43:45,290
+تجارب الجوزيان أو لا، إنه ممكن تجاربه لأن الوضع
+
+555
+00:43:45,290 --> 00:43:51,350
+الوضع هو بلين وإنفينتي بلين والثانوية خطوة أخرى
+
+556
+00:43:51,350 --> 00:43:58,290
+يجب أن نختار جوزيان جوزيان يجب أن يكون من نفس جنس
+
+557
+00:43:58,840 --> 00:44:01,400
+الجسم المشحون طبعا انتوا واضعوا عينكم الجسم
+
+558
+00:44:01,400 --> 00:44:05,380
+المشحون ال plane ال plane مش surface يعني مش close
+
+559
+00:44:05,380 --> 00:44:09,820
+surface نرجع زي ال cylinder هل هذا ال plane مقطوع
+
+560
+00:44:09,820 --> 00:44:15,240
+من شجرة مش مقطوع من شجرة ما هو جاي حط لو حطينا عشر
+
+561
+00:44:16,510 --> 00:44:20,190
+blends جنب بعض بيطلع عندي متوازن مستطيلات ولا لأ؟
+
+562
+00:44:20,190 --> 00:44:22,850
+بيطلع عندي متوازن مستطيلات متوازن مستطيلات في سطح
+
+563
+00:44:22,850 --> 00:44:26,230
+مغلق او في سطح مغلق اذا هي السطح المغلق تبعك طب
+
+564
+00:44:26,230 --> 00:44:29,430
+انت ليش اختارت مستطيل لانه انت راسمليه مستطيل انا
+
+565
+00:44:29,430 --> 00:44:32,190
+مش راسم مستطيل انت شايف أبعاده انت بتقوللي
+
+566
+00:44:32,190 --> 00:44:37,370
+infinite ده يقولك هذا disk تقوللي امي disk في
+
+567
+00:44:37,370 --> 00:44:43,050
+مشكلة حط عشرة disks جنب بعض ليش تطلعصور هذا ال
+
+568
+00:44:43,050 --> 00:44:45,290
+disk و بدي أحط عشرة disks جانب بعضي الصوانة بتكون
+
+569
+00:44:45,290 --> 00:44:50,470
+قائمة ولا نايمة اذا هي الصوانة عشان تكون من نفس
+
+570
+00:44:50,470 --> 00:44:54,390
+الشكل شوف المرة دي كانت الصوانة كيف فوق لأنه كانت
+
+571
+00:44:54,390 --> 00:44:57,310
+العيلة تبعته هيك المرة هذه العيلة تبعتها نايمة
+
+572
+00:44:57,310 --> 00:45:01,780
+فبتكون الصوانة بهذا الشكلطب قاعد بيقولي طب انت لو
+
+573
+00:45:01,780 --> 00:45:04,620
+عملت متوازن مستطيلات بيطلع معاك نفس الجواب بقوله
+
+574
+00:45:04,620 --> 00:45:07,840
+بطلع بس اتصنى شوية ليش انا شارد من متوازن مستطيلات
+
+575
+00:45:07,840 --> 00:45:11,980
+بس عشان هناك ست اوجه و هنا تلت اوجه و بما انه انت
+
+576
+00:45:11,980 --> 00:45:17,540
+مش مجيني اي شرط انه الحدود شايفها فبالتالي بقدر
+
+577
+00:45:17,540 --> 00:45:24,820
+ادعي ان ال plane is a disk not a plane او square
+
+578
+00:45:24,820 --> 00:45:31,110
+او triangle احكي الدارة بتختلف عن الشاشةمش مشكلة
+
+579
+00:45:31,110 --> 00:45:34,850
+الدائروان بتختلف عند الأطراف انت الأطراف شايفها؟
+
+580
+00:45:34,850 --> 00:45:38,770
+انت بقى عادع اذا طول عندك مشكلة طبعا الشكل اللي
+
+581
+00:45:38,770 --> 00:45:43,450
+شايفها بيشكل لكن هو دي اللي باعي تمام solution to
+
+582
+00:45:43,450 --> 00:45:48,090
+solve this problem we select a Gaussian surface as
+
+583
+00:45:48,090 --> 00:45:52,410
+a Gaussian surface a small cylinder whose axis is
+
+584
+00:45:52,410 --> 00:45:58,030
+perpendicular to the plane and whose ends each has
+
+585
+00:45:58,030 --> 00:46:00,050
+an area a أيه السيلندر تبعتي؟
+
+586
+00:46:03,680 --> 00:46:08,080
+كملت كملت فده هي .. هى سطح جاوس احنا جولنا نايمة
+
+587
+00:46:08,080 --> 00:46:11,320
+واحد بيقولي متوازن مساطلات بتقوله بتحلها انا مابي
+
+588
+00:46:11,320 --> 00:46:14,540
+أقول عن متوازن مساطلات بس شوية شوية فالأول نشتغل
+
+589
+00:46:14,540 --> 00:46:17,400
+على ال cylinder اللى هى فيه faces فى مشكلة فى سطح
+
+590
+00:46:17,400 --> 00:46:23,120
+جاوس يا شباب سؤالى الان كل الورقة جوا سطح جاوس
+
+591
+00:46:23,120 --> 00:46:26,240
+جديش
+
+592
+00:46:26,240 --> 00:46:31,700
+المساحة من الورقة اللى جواالمساحة اللى مين ورقة
+
+593
+00:46:31,700 --> 00:46:37,900
+جوا مساحة القاعدة يعني قداش qn بتساوي sigma في
+
+594
+00:46:37,900 --> 00:46:42,400
+مساحة القاعدة اذا قداش qn عرفتها انا بدي جزء من
+
+595
+00:46:42,400 --> 00:46:46,500
+الشحنات انا بدي qn جزء من الشحنات يعني لو كانت
+
+596
+00:46:46,500 --> 00:46:49,500
+عندكم ورقة واعتبرته هذا سطح جاوس الشباب اعتبرته
+
+597
+00:46:49,500 --> 00:46:55,040
+خطاية جلم حبر هى سطح جاوس عندكم ورقة بتعمل سطح
+
+598
+00:46:55,040 --> 00:46:58,380
+جاوس بتجيبوا الجلم بتقولكم تعملوا فيه هيكلة ميظهر
+
+599
+00:46:58,380 --> 00:47:02,420
+من الشجرة التانيةأيش بيكون أخد جوا؟ جزء من الورقة
+
+600
+00:47:02,420 --> 00:47:06,420
+و لا لا؟ الجزء من الورقة هذا مشحون، جديش مساحته؟
+
+601
+00:47:06,420 --> 00:47:11,100
+نفس مساحة قاعدة الجلام و لا لا؟ هيكيو ان، هيكيو
+
+602
+00:47:11,100 --> 00:47:16,220
+ان، واحدة واحدة هجيت بقول هذا جاز ال surface اللي
+
+603
+00:47:16,220 --> 00:47:19,580
+هو السوانة as we do in the previous example
+
+604
+00:47:19,580 --> 00:47:24,000
+السوانة كان سطح لها التكامل كم تكامل بيصير؟ تلات
+
+605
+00:47:24,000 --> 00:47:29,550
+تكاملاتباس كرت بس هجيت القواعد علوية وصفرية ولا
+
+606
+00:47:29,550 --> 00:47:33,770
+يمين وشمال؟ يمين وشمال؟ واحدة واحدة واحدة واحدة
+
+607
+00:47:33,770 --> 00:47:36,850
+شايفينها خطوط المجال الخضراء؟ هاي خطوط المجال بدي
+
+608
+00:47:36,850 --> 00:47:42,930
+اجيدي ايه؟ هاي هادي كيف ايه تبعتها؟ برا عليكم هاي
+
+609
+00:47:42,930 --> 00:47:50,430
+الصمرة شايفتوها؟ تمام طب و هادي؟ اه طبعا هنا انا
+
+610
+00:47:50,430 --> 00:47:53,980
+حاضر هنا المعناته هادي من السفر ولا لا؟الـ dot
+
+611
+00:47:53,980 --> 00:47:57,840
+product راحت قصان السفر كده؟ واحد و E برا طلعت
+
+612
+00:47:57,840 --> 00:48:02,640
+ثابتة تمام طبعا انتوا لما تاخدوا هى الورقة اشتغلنا
+
+613
+00:48:02,640 --> 00:48:07,740
+شىه ما تستعجلش هى الورقة و هى ال plane او هى ال
+
+614
+00:48:07,740 --> 00:48:12,200
+base طول ما أنا ماشي بكون مش مبعد اذا E is
+
+615
+00:48:12,200 --> 00:48:16,700
+constant خلصنا منها طلعناها برا طب و هى دى مين
+
+616
+00:48:16,700 --> 00:48:19,520
+اللي قال بيبقى تغيب عاد؟ مين توجه حاجات تغيب عاد؟
+
+617
+00:48:20,070 --> 00:48:23,290
+كيف دي ايه تبعتها؟ صرا عكس كانت تجاه دي حلو بس إيش
+
+618
+00:48:23,290 --> 00:48:26,370
+هي و اللي أخضر مع بعض ولا عكس بعض؟ مع بعض مع بعض
+
+619
+00:48:26,370 --> 00:48:31,110
+جديد الزاوية؟ سفر برضه زي هديك سفر؟ طيب بس مش
+
+620
+00:48:31,110 --> 00:48:35,850
+تجاهها ده غير عن تجاه هديك هي خط المجال هديك نفس
+
+621
+00:48:35,850 --> 00:48:42,990
+اللي بيخترقها ديك؟ لأ أنا بدور على الزاوية زاوية
+
+622
+00:48:42,990 --> 00:48:46,350
+سفر في الحالتين ولا لأ؟ طلع معاك سالب عشان يلغوا
+
+623
+00:48:46,350 --> 00:48:47,890
+بعض؟ لأ ماطلعش
+
+624
+00:48:53,380 --> 00:49:00,120
+خط لك ورقة معايا انا ورقة؟ خلّي خلّي شباب هذه
+
+625
+00:49:00,120 --> 00:49:06,900
+الورقة هذه الخط هذا من أين بيبدأ؟ بيبدأ من هنا هل
+
+626
+00:49:06,900 --> 00:49:10,880
+الخط اللي بقى عليكم لو فيه عندنا سطح بيجرب عليه؟
+
+627
+00:49:10,880 --> 00:49:14,440
+بيخترقه؟ بالتالي لما تجيب انت لف ركز على هذا السطح
+
+628
+00:49:14,440 --> 00:49:18,220
+قلك ده او بالقطوط اللي هنا؟ لا الخط اللي هنا كيف
+
+629
+00:49:18,220 --> 00:49:25,980
+يخترقه؟ هيك والا إيه؟ هيك هل جت لجينا ..هذا الخط
+
+630
+00:49:25,980 --> 00:49:29,880
+هو نفسه مختلقه .. خط تاني .. كده تجاهه .. عليا ..
+
+631
+00:49:29,880 --> 00:49:34,300
+و ال area عليا .. بالتالي مافيش معاكسة .. لأن هذا
+
+632
+00:49:34,300 --> 00:49:40,640
+خط و هذا خط ..الخط اللى اولانى مخترقش ال base
+
+633
+00:49:40,640 --> 00:49:45,780
+التانية مالوش جاعة فيها وبالتالي بالرغم ان انت
+
+634
+00:49:45,780 --> 00:49:50,140
+تتعامل مع two opposite lines لكن ال line مالوش
+
+635
+00:49:50,140 --> 00:49:52,960
+جاعة بال line التانى ومالوش جاعة كل ال surface
+
+636
+00:49:52,960 --> 00:49:58,060
+اللى ال line خاص بيه واضح؟ اذا فى مشكلة ان اقول
+
+637
+00:49:58,060 --> 00:50:02,090
+هنا فى زي 180 عشان أحط سالبفى الحاجتين فى زاوية
+
+638
+00:50:02,090 --> 00:50:06,110
+180؟ مافيش فى الحاجتين زاوية Zero ولا Zero؟ Zero
+
+639
+00:50:06,110 --> 00:50:10,850
+كصالة Zero قد إيش؟ One و هنا نفس العملية إذا إيه
+
+640
+00:50:10,850 --> 00:50:17,630
+في إيه؟ حلو طب وهذا كيف إيه تبعته؟ باتجاه أنصار فى
+
+641
+00:50:17,630 --> 00:50:21,150
+الأقطار يعنى هى طبعا تحت أو فوج بتفرجش أو عليكم
+
+642
+00:50:21,150 --> 00:50:24,310
+بتفرجش تحت ولا فوج ولا عليكم ماكانتش زاوية بينها و
+
+643
+00:50:24,310 --> 00:50:33,690
+بين خط الأحضان روحت هنا Zeroمصبوط ولا لأ؟ عكس تمام
+
+644
+00:50:33,690 --> 00:50:38,530
+with q in is given by هي q in شايفينها هذه المنطقة
+
+645
+00:50:38,530 --> 00:50:44,890
+صح هذه المنطقة اللي دخلت جوا غطاية الجلام طب هذي
+
+646
+00:50:44,890 --> 00:50:48,010
+كيف اجيبها مساحة القاعدة في sigma مساحة القاعدة في
+
+647
+00:50:48,010 --> 00:50:51,030
+sigma او مساحة اللي قاعدة بتومض ماهي نفس مساحة
+
+648
+00:50:51,030 --> 00:50:55,130
+القاعدة اذا ال q in بتساوي sigma في ايه ولا لأ
+
+649
+00:50:55,130 --> 00:50:58,050
+شباب اذا ال q in بتساوي sigma في a
+
+650
+00:51:02,410 --> 00:51:08,330
+يعني واحد عنده سؤال مش معجبه يسأل احنا حكينا هذا
+
+651
+00:51:08,330 --> 00:51:15,110
+شرطة سهل بس ممتنعة سهل و قصير لكن فيه شوية شغلات
+
+652
+00:51:15,110 --> 00:51:18,450
+بدنا نركز عليها و بدناش ندخل حالنا فيها في اي
+
+653
+00:51:18,450 --> 00:51:19,250
+اشكالية شباب
+
+654
+00:51:23,280 --> 00:51:28,580
+طيب ا في a زي ا في a اتنين ا في a طبعا ليش ا و ا
+
+655
+00:51:28,580 --> 00:51:30,960
+لانها دي الصوانة الباس الأولى و الباس التانية
+
+656
+00:51:30,960 --> 00:51:35,700
+نفسها ولا لأ اذا معناته قال لي furthermore E is
+
+657
+00:51:35,700 --> 00:51:37,540
+directed normally outward and has a constant
+
+658
+00:51:37,540 --> 00:51:40,500
+magnitude at each point on the two ends of the
+
+659
+00:51:40,500 --> 00:51:43,600
+cylinder هذا كلام this mean that the third
+
+660
+00:51:43,600 --> 00:51:46,480
+integral vanish and the first two integrals each
+
+661
+00:51:46,480 --> 00:51:50,840
+reduces to E a انا بعيد من كلام الحكيته بس اذا
+
+662
+00:51:50,840 --> 00:51:56,080
+اتنينE في A بيساوي Sigma A على Epsilon 0 طلعت E
+
+663
+00:51:56,080 --> 00:52:02,160
+ولا ماخلعتش؟ طلعت طلعوا ال A راحت من الجواب لأن ال
+
+664
+00:52:02,160 --> 00:52:05,540
+A تبقى على سطح جارس سطح جارس انت اللي اختارته و
+
+665
+00:52:05,540 --> 00:52:09,060
+سطح جارس تبعي غير عن سطح جارس تبعك غير عن سطح جارس
+
+666
+00:52:09,060 --> 00:52:12,680
+تبع أي واحد فيكم صح ولا لأ المفروض مايبينش في جواب
+
+667
+00:52:12,680 --> 00:52:18,880
+طلعت ذاكرين ال disk شباب؟ مين يجلبلي ال disk مثل
+
+668
+00:52:18,880 --> 00:52:20,560
+ال disk الشابطة من الماضي؟ مين يعرف احد معاه
+
+669
+00:52:20,560 --> 00:52:25,820
+الشابطة من الماضي؟تبع ال disk فعملنا ملاحظة لو
+
+670
+00:52:25,820 --> 00:52:30,520
+كانت R goes to ملا نهاية او الجسم جريب جدا لما
+
+671
+00:52:30,520 --> 00:52:33,460
+حكينا عن النملة والفيل جونة جديش ايه طلعت
+
+672
+00:52:37,770 --> 00:52:43,970
+إذا to summarize Gauss's law is a law to find the
+
+673
+00:52:43,970 --> 00:52:48,770
+electric field for limited charge distribution. We
+
+674
+00:52:48,770 --> 00:52:52,570
+have three types of charge distribution where
+
+675
+00:52:52,570 --> 00:52:56,750
+Gauss's law is applicableأو الانتجار الروحاني
+
+676
+00:52:56,750 --> 00:52:59,990
+الانتجار
+
+677
+00:52:59,990 --> 00:53:04,530
+الروحاني مع الوضع أن الانتجار يجب أن يكون كبيرًا
+
+678
+00:53:04,530 --> 00:53:07,730
+وانتجار
+
+679
+00:53:07,730 --> 00:53:14,070
+الطائر مع الوضع أن الطائر يجب أن يكون كبيرًالذلك
+
+680
+00:53:14,070 --> 00:53:20,210
+يجب أن نختار موضوع غاوزيان، موضوع غاوزيان حيواني،
+
+681
+00:53:20,210 --> 00:53:24,050
+ويجب أن يكون هذا الموضوع غاوزيان يكون مرتبط
+
+682
+00:53:24,050 --> 00:53:28,130
+بالنسبة للإيقاع في تلك المجموعة السحرية.بالتالي
+
+683
+00:53:28,130 --> 00:53:37,160
+اتفقنا أن موضوع غاوزيان هو إما سفير أو سليندر.طبعا
+
+684
+00:53:37,160 --> 00:53:41,680
+كده بقى اشتغل ..الان قبل ما انا انسى لو بدي اختار
+
+685
+00:53:41,680 --> 00:53:47,740
+شباب سطح جاوس لل plane عبارة عن متوازي مستغيلات
+
+686
+00:53:47,740 --> 00:53:50,800
+بدي اشتغل من هناك الكتاب كمان مرة او الدفتر تمام
+
+687
+00:53:53,690 --> 00:53:57,090
+هذه سأختار مستوانة الاتبار ان انت اتبارت هذه جسك
+
+688
+00:53:57,090 --> 00:54:01,790
+صح او لا لان لأ هي عن زرعوطات بينا مستطيل صح او لا
+
+689
+00:54:01,790 --> 00:54:05,830
+مستطيل اذا العيالة تبعك متوزن مستطيلات حلو مش هي
+
+690
+00:54:05,830 --> 00:54:10,480
+متوزن مستطيلات هي متوزن مستطيلات هي صدح جاوسهذا
+
+691
+00:54:10,480 --> 00:54:14,380
+السطح جاهز بدي أشغله زي ما عملت فيه غطاك الجلمة و
+
+692
+00:54:14,380 --> 00:54:19,580
+دلتي ماشي لما هذا زهر عليّ نحن نجي واحدة واحدة أكم
+
+693
+00:54:19,580 --> 00:54:24,500
+سطح هنا فيه ستة خطوط المجال وينها عليكم و عليّ صح
+
+694
+00:54:24,500 --> 00:54:29,720
+نجي اللي عليكم انتوا المبينة هاي خط المجال مظبوط
+
+695
+00:54:29,720 --> 00:54:34,510
+واحدة واحدة هذا السطحكيف .. كيف الإيران تبعته؟
+
+696
+00:54:34,510 --> 00:54:41,370
+لأعلى روح طب هذا الصديقه؟ روح طب هذا الصديقه؟ وهذا
+
+697
+00:54:41,370 --> 00:54:45,070
+الصديقه؟ اذا كان فتح ضال؟ لو هنا كان فتح ضال؟
+
+698
+00:54:45,070 --> 00:54:49,170
+اتنين؟ ايش ده ايش اختلف؟ بيقول الآن اللي دخل جوا
+
+699
+00:54:49,170 --> 00:54:55,450
+الشحناتحجم او مساحة الوردة اللى جاخدة داخلها دائرة
+
+700
+00:54:55,450 --> 00:55:01,750
+ولا مستطيل؟ مستطيل اذا الصرف E عندك اتنين E في A
+
+701
+00:55:01,750 --> 00:55:06,610
+بس A ها دى مش مساحة دائرة مساحة مستطيل طب Sigma في
+
+702
+00:55:06,610 --> 00:55:12,430
+A برضه مستطيل وقعد ايه معناه يطلع نفسي الجواب؟إذن
+
+703
+00:55:12,430 --> 00:55:16,990
+انت سهلت وماختلفش جواب بدل ما بقيت تدور على ست
+
+704
+00:55:16,990 --> 00:55:21,330
+أسطح دورت على تلت أسطح ولا لأ؟ إذا نفس الجواب
+
+705
+00:55:21,330 --> 00:55:25,270
+مافيش أي اشكالية إذا ماتفقين جاوز ال surface
+
+706
+00:55:25,270 --> 00:55:31,850
+either sphere or cylinder بس متوازي مستطيلات
+
+707
+00:55:31,850 --> 00:55:34,330
+بلزمنيش بلزمنيش إطلاقا
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..01cc2cb15e70143f3dde83f658d6725e8c485776
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_raw.json
@@ -0,0 +1 @@
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and should have the same symmetry of the charge distribution, the charge distribution is spherical اذا سطح الجاوس بيكون سفير صح ولا لأ احنا حاولنا سطح الجاوس اللى بدي اختاره لازم يكون بيشبه الجسم المشحون الجسم المشحون كيف شكله؟", "tokens": [6027, 7649, 47525, 10721, 1975, 8592, 2655, 17082, 1211, 33962, 9566, 2407, 3660, 16712, 6027, 10632, 1975, 46456, 9640, 8608, 9566, 5016, 4032, 16095, 7578, 8608, 2304, 7578, 5959, 21948, 3753, 293, 820, 362, 264, 912, 25440, 295, 264, 4602, 7316, 11, 264, 4602, 7316, 307, 37300, 1975, 15730, 8608, 9566, 5016, 25724, 995, 41779, 4724, 1829, 30544, 8608, 5172, 13546, 20328, 5016, 49429, 5296, 10721, 1975, 5016, 8315, 11331, 995, 12610, 8315, 8608, 9566, 5016, 25724, 995, 41779, 13672, 7578, 4724, 16254, 1975, 46456, 9640, 3224, 5296, 31377, 2304, 7251, 30544, 4724, 1829, 8592, 3555, 3224, 25724, 38251, 9673, 8592, 5016, 11536, 25724, 38251, 9673, 8592, 5016, 11536, 9122, 33911, 13412, 28820, 3224, 22807], "avg_logprob": -0.2412446055175929, 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237.56, "end": 238.36, "word": " and", "probability": 0.5234375}, {"start": 238.36, "end": 238.92, "word": " should", "probability": 0.81884765625}, {"start": 238.92, "end": 239.84, "word": " have", "probability": 0.88232421875}, {"start": 239.84, "end": 240.14, "word": " the", "probability": 0.8642578125}, {"start": 240.14, "end": 240.46, "word": " same", "probability": 0.8955078125}, {"start": 240.46, "end": 241.08, "word": " symmetry", "probability": 0.89990234375}, {"start": 241.08, "end": 241.64, "word": " of", "probability": 0.93994140625}, {"start": 241.64, "end": 241.8, "word": " the", "probability": 0.63232421875}, {"start": 241.8, "end": 242.08, "word": " charge", "probability": 0.96484375}, {"start": 242.08, "end": 242.72, "word": " distribution,", "probability": 0.89208984375}, {"start": 243.1, "end": 243.3, "word": " the", "probability": 0.189453125}, {"start": 243.3, "end": 243.58, "word": " charge", "probability": 0.9736328125}, {"start": 243.58, "end": 244.1, "word": " distribution", "probability": 0.8759765625}, {"start": 244.1, "end": 244.26, "word": " is", "probability": 0.67822265625}, {"start": 244.26, "end": 244.6, "word": " spherical", "probability": 0.9453125}, {"start": 244.6, "end": 245.36, "word": " اذا", "probability": 0.6329345703125}, {"start": 245.36, "end": 245.66, "word": " سطح", "probability": 0.9287109375}, {"start": 245.66, "end": 245.9, "word": " الجاوس", "probability": 0.5713297526041666}, {"start": 245.9, "end": 246.28, "word": " بيكون", "probability": 0.5674235026041666}, {"start": 246.28, "end": 246.9, "word": " سفير", "probability": 0.9039713541666666}, {"start": 246.9, "end": 247.78, "word": " صح", "probability": 0.779296875}, {"start": 247.78, "end": 247.96, "word": " ولا", "probability": 0.9599609375}, {"start": 247.96, "end": 248.22, "word": " لأ", "probability": 0.85302734375}, {"start": 248.22, "end": 248.64, "word": " احنا", "probability": 0.8684895833333334}, {"start": 248.64, "end": 248.92, "word": " حاولنا", "probability": 0.6082763671875}, {"start": 248.92, "end": 249.16, "word": " سطح", "probability": 0.8761393229166666}, {"start": 249.16, "end": 249.46, "word": " الجاوس", "probability": 0.9363606770833334}, {"start": 249.46, "end": 249.58, "word": " اللى", "probability": 0.896240234375}, {"start": 249.58, "end": 249.78, "word": " بدي", "probability": 0.615478515625}, {"start": 249.78, "end": 250.36, "word": " اختاره", "probability": 0.9730224609375}, {"start": 250.36, "end": 251.14, "word": " لازم", "probability": 0.947265625}, {"start": 251.14, "end": 251.56, "word": " يكون", "probability": 0.987060546875}, {"start": 251.56, "end": 252.12, "word": " بيشبه", "probability": 0.889697265625}, {"start": 252.12, "end": 252.52, "word": " الجسم", "probability": 0.9736328125}, {"start": 252.52, "end": 253.26, "word": " المشحون", "probability": 0.97314453125}, {"start": 253.26, "end": 254.08, "word": " الجسم", "probability": 0.85693359375}, {"start": 254.08, "end": 254.58, "word": " المشحون", "probability": 0.99365234375}, {"start": 254.58, "end": 254.78, "word": " كيف", "probability": 0.97216796875}, {"start": 254.78, "end": 255.46, "word": " شكله؟", "probability": 0.97314453125}], "temperature": 1.0}, {"id": 12, "seek": 28164, "start": 260.65, "end": 281.65, "text": "النقطة التانية ان ال point should lie on the surface on the Gaussian surface اذا صارت واضحة الأمور since the charge distribution is spherical we choose a spherical Gaussian surface constantly with the shell متحدة البركز مع الشل فهي سطح جاسكتر معاه", "tokens": [6027, 1863, 47432, 3660, 16712, 7649, 10632, 16472, 2423, 935, 820, 4544, 322, 264, 3753, 322, 264, 39148, 3753, 1975, 15730, 20328, 9640, 2655, 4032, 46958, 5016, 3660, 16247, 2304, 13063, 1670, 264, 4602, 7316, 307, 37300, 321, 2826, 257, 37300, 39148, 3753, 6460, 365, 264, 8720, 3714, 2655, 24401, 3660, 2423, 26890, 4117, 11622, 20449, 25124, 1211, 6156, 3224, 1829, 8608, 9566, 5016, 10874, 32277, 4117, 2655, 2288, 20449, 40294], "avg_logprob": -0.4051649276581075, "compression_ratio": 1.4788732394366197, "no_speech_prob": 0.0, "words": [{"start": 260.65, "end": 261.53, "word": "النقطة", "probability": 0.70965576171875}, {"start": 261.53, "end": 262.09, "word": " التانية", "probability": 0.83984375}, {"start": 262.09, "end": 262.61, "word": " ان", "probability": 0.31103515625}, {"start": 262.61, "end": 262.79, "word": " ال", "probability": 0.5263671875}, {"start": 262.79, "end": 263.23, "word": " point", "probability": 0.490234375}, {"start": 263.23, "end": 263.93, "word": " should", "probability": 0.50830078125}, {"start": 263.93, "end": 265.05, "word": " lie", "probability": 0.64501953125}, {"start": 265.05, "end": 265.43, "word": " on", "probability": 0.91357421875}, {"start": 265.43, "end": 265.57, "word": " the", "probability": 0.84423828125}, {"start": 265.57, "end": 266.17, "word": " surface", "probability": 0.73486328125}, {"start": 266.17, "end": 266.41, "word": " on", "probability": 0.2003173828125}, {"start": 266.41, "end": 266.59, "word": " the", "probability": 0.8125}, {"start": 266.59, "end": 266.85, "word": " Gaussian", "probability": 0.60302734375}, {"start": 266.85, "end": 267.43, "word": " surface", "probability": 0.7392578125}, {"start": 267.43, "end": 267.81, "word": " اذا", "probability": 0.4971923828125}, {"start": 267.81, "end": 268.15, "word": " صارت", "probability": 0.47265625}, {"start": 268.15, "end": 268.47, "word": " واضحة", "probability": 0.938232421875}, {"start": 268.47, "end": 269.93, "word": " الأمور", "probability": 0.8722330729166666}, {"start": 269.93, "end": 270.61, "word": " since", "probability": 0.302734375}, {"start": 270.61, "end": 270.81, "word": " the", "probability": 0.84814453125}, {"start": 270.81, "end": 271.11, "word": " charge", "probability": 0.9599609375}, {"start": 271.11, "end": 271.59, "word": " distribution", "probability": 0.9248046875}, {"start": 271.59, "end": 271.87, "word": " is", "probability": 0.95751953125}, {"start": 271.87, "end": 272.31, "word": " spherical", "probability": 0.9013671875}, {"start": 272.31, "end": 273.31, "word": " we", "probability": 0.411865234375}, {"start": 273.31, "end": 273.75, "word": " choose", "probability": 0.8916015625}, {"start": 273.75, "end": 274.07, "word": " a", "probability": 0.9765625}, {"start": 274.07, "end": 274.55, "word": " spherical", "probability": 0.92529296875}, {"start": 274.55, "end": 275.23, "word": " Gaussian", "probability": 0.49951171875}, {"start": 275.23, "end": 275.97, "word": " surface", "probability": 0.91064453125}, {"start": 275.97, "end": 277.01, "word": " constantly", "probability": 0.2685546875}, {"start": 277.01, "end": 277.75, "word": " with", "probability": 0.91455078125}, {"start": 277.75, "end": 277.95, "word": " the", "probability": 0.81640625}, {"start": 277.95, "end": 278.19, "word": " shell", "probability": 0.93310546875}, {"start": 278.19, "end": 278.79, "word": " متحدة", "probability": 0.78985595703125}, {"start": 278.79, "end": 279.15, "word": " البركز", "probability": 0.8775634765625}, {"start": 279.15, "end": 279.29, "word": " مع", "probability": 0.986328125}, {"start": 279.29, "end": 279.67, "word": " الشل", "probability": 0.578857421875}, {"start": 279.67, "end": 280.27, "word": " فهي", "probability": 0.7178548177083334}, {"start": 280.27, "end": 280.65, "word": " سطح", "probability": 0.9122721354166666}, {"start": 280.65, "end": 281.31, "word": " جاسكتر", "probability": 0.603564453125}, {"start": 281.31, "end": 281.65, "word": " معاه", "probability": 0.75}], "temperature": 1.0}, {"id": 13, "seek": 29510, "start": 282.42, "end": 295.1, "text": "هذه سطح الجاوز واتفقنا احنا عاملينه منقط عشان to ensure that it is a hypothetical surface .. to ensure that it is a hypothetical surface وبالتالي منقط يعني هو مش حقيقي احكي", "tokens": [3224, 24192, 8608, 9566, 5016, 25724, 995, 2407, 11622, 4032, 9307, 5172, 4587, 8315, 1975, 5016, 8315, 6225, 10943, 1211, 9957, 3224, 9154, 47432, 6225, 8592, 7649, 281, 5586, 300, 309, 307, 257, 33053, 3753, 4386, 281, 5586, 300, 309, 307, 257, 33053, 3753, 46599, 6027, 2655, 6027, 1829, 9154, 47432, 37495, 22653, 31439, 37893, 11331, 38436, 38436, 1975, 5016, 4117, 1829], "avg_logprob": -0.2633928552506462, "compression_ratio": 1.551948051948052, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 282.42, "end": 282.72, "word": "هذه", "probability": 0.6593017578125}, {"start": 282.72, "end": 283.0, "word": " سطح", "probability": 0.7496744791666666}, {"start": 283.0, "end": 283.4, "word": " الجاوز", "probability": 0.6817626953125}, {"start": 283.4, "end": 284.1, "word": " واتفقنا", "probability": 0.82900390625}, {"start": 284.1, "end": 284.3, "word": " احنا", "probability": 0.7250569661458334}, {"start": 284.3, "end": 284.94, "word": " عاملينه", "probability": 0.87451171875}, {"start": 284.94, "end": 285.4, "word": " منقط", "probability": 0.624755859375}, {"start": 285.4, "end": 286.58, "word": " عشان", "probability": 0.8673502604166666}, {"start": 286.58, "end": 286.96, "word": " to", "probability": 0.330322265625}, {"start": 286.96, "end": 287.48, "word": " ensure", "probability": 0.86328125}, {"start": 287.48, "end": 287.7, "word": " that", "probability": 0.85205078125}, {"start": 287.7, "end": 287.84, "word": " it", "probability": 0.95751953125}, {"start": 287.84, "end": 288.04, "word": " is", "probability": 0.89111328125}, {"start": 288.04, "end": 288.16, "word": " a", "probability": 0.86376953125}, {"start": 288.16, "end": 288.58, "word": " hypothetical", "probability": 0.86279296875}, {"start": 288.58, "end": 289.4, "word": " surface", "probability": 0.85546875}, {"start": 289.4, "end": 289.84, "word": " ..", "probability": 0.4482421875}, {"start": 289.84, "end": 289.9, "word": " to", "probability": 0.297607421875}, {"start": 289.9, "end": 290.32, "word": " ensure", "probability": 0.953125}, {"start": 290.32, "end": 290.76, "word": " that", "probability": 0.95458984375}, {"start": 290.76, "end": 291.14, "word": " it", "probability": 0.97802734375}, {"start": 291.14, "end": 291.36, "word": " is", "probability": 0.96728515625}, {"start": 291.36, "end": 291.54, "word": " a", "probability": 0.9794921875}, {"start": 291.54, "end": 291.94, "word": " hypothetical", "probability": 0.91162109375}, {"start": 291.94, "end": 292.8, "word": " surface", "probability": 0.90087890625}, {"start": 292.8, "end": 293.62, "word": " وبالتالي", "probability": 0.886669921875}, {"start": 293.62, "end": 294.1, "word": " منقط", "probability": 0.92529296875}, {"start": 294.1, "end": 294.28, "word": " يعني", "probability": 0.894775390625}, {"start": 294.28, "end": 294.36, "word": " هو", "probability": 0.662109375}, {"start": 294.36, "end": 294.5, "word": " مش", "probability": 0.98828125}, {"start": 294.5, "end": 294.8, "word": " حقيقي", "probability": 0.9451497395833334}, {"start": 294.8, "end": 295.1, "word": " احكي", "probability": 0.82769775390625}], "temperature": 1.0}, {"id": 14, "seek": 31658, "start": 297.1, "end": 316.58, "text": "لازم تكون موجودة بدونها بتتوقف يعني لو واحد مارصمش جوز ان سيفس و بدأ حل بيكون باصم مش عارف اللي بيسويه لأنه انت كيف بيسوي علاجاء السطح انت مش راقمه كيف انا بيدور عليك اقولك انت وين ال qn وين ايه اللي السطح بدي اعرف وين هو", "tokens": [1211, 31377, 2304, 6055, 30544, 3714, 29245, 23328, 3660, 47525, 11536, 11296, 39894, 2655, 30543, 5172, 37495, 22653, 45164, 36764, 24401, 3714, 9640, 9381, 2304, 8592, 10874, 2407, 11622, 16472, 8608, 33911, 3794, 4032, 47525, 10721, 11331, 1211, 4724, 1829, 30544, 4724, 33546, 2304, 37893, 6225, 9640, 5172, 13672, 1829, 4724, 1829, 3794, 45865, 3224, 5296, 33456, 3224, 16472, 2655, 9122, 33911, 4724, 1829, 3794, 45865, 11203, 26108, 16606, 21136, 9566, 5016, 16472, 2655, 37893, 12602, 995, 4587, 2304, 3224, 9122, 33911, 1975, 8315, 4724, 25708, 13063, 25894, 4117, 1975, 39648, 4117, 16472, 2655, 4032, 9957, 2423, 9505, 77, 4032, 9957, 1975, 1829, 3224, 13672, 1829, 21136, 9566, 5016, 4724, 16254, 1975, 3615, 28480, 4032, 9957, 31439], "avg_logprob": -0.33421609285524334, "compression_ratio": 1.9033816425120773, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 297.1, "end": 297.64, "word": "لازم", "probability": 0.8014322916666666}, {"start": 297.64, "end": 297.86, "word": " تكون", "probability": 0.974609375}, {"start": 297.86, "end": 298.5, "word": " موجودة", "probability": 0.9676513671875}, {"start": 298.5, "end": 299.48, "word": " بدونها", "probability": 0.8504231770833334}, {"start": 299.48, "end": 300.52, "word": " بتتوقف", "probability": 0.46514892578125}, {"start": 300.52, "end": 302.12, "word": " يعني", "probability": 0.5697021484375}, {"start": 302.12, "end": 302.3, "word": " لو", "probability": 0.92529296875}, {"start": 302.3, "end": 302.62, "word": " واحد", "probability": 0.953125}, {"start": 302.62, "end": 303.14, "word": " مارصمش", "probability": 0.63271484375}, {"start": 303.14, "end": 303.46, "word": " جوز", "probability": 0.6514485677083334}, {"start": 303.46, "end": 303.56, "word": " ان", "probability": 0.22705078125}, {"start": 303.56, "end": 303.9, "word": " سيفس", "probability": 0.5445963541666666}, {"start": 303.9, "end": 304.0, "word": " و", "probability": 0.57080078125}, {"start": 304.0, "end": 304.26, "word": " بدأ", "probability": 0.639892578125}, {"start": 304.26, "end": 304.58, "word": " حل", "probability": 0.968994140625}, {"start": 304.58, "end": 305.14, "word": " بيكون", "probability": 0.82958984375}, {"start": 305.14, "end": 305.72, "word": " باصم", "probability": 0.9588216145833334}, {"start": 305.72, "end": 306.34, "word": " مش", "probability": 0.955078125}, {"start": 306.34, "end": 306.56, "word": " عارف", "probability": 0.9954427083333334}, {"start": 306.56, "end": 306.66, "word": " اللي", "probability": 0.865478515625}, {"start": 306.66, "end": 307.5, "word": " بيسويه", "probability": 0.73271484375}, {"start": 307.5, "end": 307.98, "word": " لأنه", "probability": 0.6809895833333334}, {"start": 307.98, "end": 308.08, "word": " انت", "probability": 0.76513671875}, {"start": 308.08, "end": 308.28, "word": " كيف", "probability": 0.9287109375}, {"start": 308.28, "end": 308.66, "word": " بيسوي", "probability": 0.834716796875}, {"start": 308.66, "end": 309.14, "word": " علاجاء", "probability": 0.5098470052083334}, {"start": 309.14, "end": 309.4, "word": " السطح", "probability": 0.8639322916666666}, {"start": 309.4, "end": 309.58, "word": " انت", "probability": 0.583740234375}, {"start": 309.58, "end": 309.72, "word": " مش", "probability": 0.9853515625}, {"start": 309.72, "end": 310.22, "word": " راقمه", "probability": 0.75029296875}, {"start": 310.22, "end": 310.54, "word": " كيف", "probability": 0.861572265625}, {"start": 310.54, "end": 310.66, "word": " انا", "probability": 0.79638671875}, {"start": 310.66, "end": 311.04, "word": " بيدور", "probability": 0.74609375}, {"start": 311.04, "end": 311.58, "word": " عليك", "probability": 0.95361328125}, {"start": 311.58, "end": 312.1, "word": " اقولك", "probability": 0.8590494791666666}, 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15, "seek": 33408, "start": 317.1, "end": 334.08, "text": "تمام؟ إذا هذه خطوة مركزية، إن سطح جاس لازم يبين في الرسمة، لابد، وإلا كانت تشتغل جاهز، تمام؟ بعد ما عملتها وعيسمته Gaussian Surface، واضح إن هذا هو Gaussian Surface، لازم تكون موجودة كخطوة مركزية وضرورية", "tokens": [39237, 10943, 22807, 11933, 15730, 29538, 16490, 9566, 2407, 3660, 3714, 31747, 11622, 10632, 12399, 36145, 8608, 9566, 5016, 10874, 32277, 5296, 31377, 2304, 7251, 3555, 9957, 8978, 34892, 38251, 3660, 12399, 5296, 16758, 3215, 12399, 4032, 28814, 15040, 25961, 2655, 6055, 8592, 2655, 17082, 1211, 10874, 40294, 11622, 12399, 46811, 10943, 22807, 39182, 19446, 6225, 42213, 2655, 11296, 4032, 3615, 1829, 38251, 47395, 10384, 2023, 952, 36052, 12399, 4032, 46958, 5016, 36145, 23758, 31439, 10384, 2023, 952, 36052, 12399, 5296, 31377, 2304, 6055, 30544, 3714, 29245, 23328, 3660, 9122, 9778, 9566, 2407, 3660, 3714, 31747, 11622, 10632, 4032, 11242, 2288, 13063, 10632], "avg_logprob": -0.21319110634235236, 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احنا هجيت بعد ما عملنا اتأكدنا انه ايه ال constants بتطلعها برا فيه مشكلة dot product بتشتغل انا وياكم عليها dot product بتعطي cosine theta between E and A صح ولا لأ هجيت E لازم تكون باتجاه أنصاف الأكتر لو اجيت انا بدأ ارسم شباب E من الشكل الأحمر هيجيني E هيك", "tokens": [9566, 3555, 3615, 995, 39182, 1975, 5016, 8315, 8032, 7435, 36081, 39182, 19446, 6225, 42213, 8315, 1975, 2655, 10721, 4117, 3215, 8315, 16472, 3224, 1975, 1829, 3224, 2423, 35870, 39894, 9566, 1211, 3615, 11296, 4724, 23557, 8978, 3224, 37893, 28820, 3660, 5893, 1674, 39894, 8592, 2655, 17082, 1211, 1975, 8315, 4032, 25528, 24793, 25894, 11296, 5893, 1674, 39894, 3615, 9566, 1829, 23565, 9725, 1296, 462, 293, 316, 20328, 5016, 49429, 5296, 10721, 8032, 7435, 36081, 462, 5296, 31377, 2304, 6055, 30544, 4724, 9307, 7435, 40294, 14739, 9381, 31845, 16247, 4117, 2655, 2288, 45164, 1975, 7435, 36081, 1975, 8315, 47525, 10721, 1975, 2288, 38251, 13412, 3555, 16758, 462, 9154, 25124, 28820, 16247, 5016, 29973, 39896, 7435, 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لبلاستيك أو المطاط بس المطاط لبلاستيك معاد عازلة تمام؟ مصممة يعني جوا مليانة كلها مادة لبلاستيك", "tokens": [39237, 10943, 22807, 9122, 2304, 7649, 50113, 6027, 4724, 1829, 39648, 32239, 286, 478, 1028, 12162, 16687, 9122, 25720, 3714, 9381, 2304, 46007, 4032, 2304, 9381, 1863, 2407, 27884, 9154, 3714, 18513, 3660, 6225, 31377, 37977, 6055, 9381, 13063, 43242, 4117, 9122, 25720, 3714, 9381, 1863, 2407, 27884, 9154, 3714, 18513, 3660, 5296, 3555, 15040, 14851, 1829, 4117, 34051, 9673, 9566, 41193, 4724, 3794, 9673, 9566, 41193, 5296, 3555, 15040, 14851, 1829, 4117, 20449, 18513, 6225, 31377, 37977, 46811, 10943, 22807, 3714, 9381, 2304, 46007, 37495, 22653, 10874, 14407, 3714, 20292, 7649, 3660, 28242, 11296, 3714, 18513, 3660, 5296, 3555, 15040, 14851, 1829, 4117], "avg_logprob": -0.19866071201506116, "compression_ratio": 1.872340425531915, "no_speech_prob": 0.0, "words": [{"start": 842.36, "end": 843.34, "word": "تمام؟", "probability": 0.6429850260416666}, {"start": 843.34, "end": 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solution to solve this problem we select a Gaussian surface as a Gaussian surface a small cylinder whose axis is perpendicular to the plane and whose ends each has an area a أيه السيلندر تبعتي؟", "tokens": [2304, 8592, 37893, 28820, 3660, 32748, 16373, 2288, 2407, 7649, 39894, 46456, 46538, 43242, 16247, 9566, 23557, 5172, 16472, 2655, 16247, 9566, 23557, 5172, 13412, 995, 33911, 11296, 22807, 16472, 2655, 4724, 4587, 7578, 6225, 18513, 3615, 1975, 15730, 23032, 12610, 43242, 4117, 37893, 28820, 3660, 23032, 3555, 3615, 995, 25124, 28820, 13672, 1829, 13412, 995, 33911, 11296, 4724, 1829, 8592, 28820, 44381, 31439, 11778, 1829, 13672, 1829, 4724, 45761, 1829, 46811, 10943, 3827, 281, 5039, 341, 1154, 321, 3048, 257, 39148, 3753, 382, 257, 39148, 3753, 257, 1359, 17884, 6104, 10298, 307, 26734, 281, 264, 5720, 293, 6104, 5314, 1184, 575, 364, 1859, 257, 36632, 3224, 21136, 26895, 41260, 2288, 6055, 3555, 3615, 31371, 22807], "avg_logprob": -0.31917735959729576, "compression_ratio": 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{"start": 3281.37, "end": 3282.21, "word": " الصديقه؟", "probability": 0.96689453125}, {"start": 3282.21, "end": 3282.33, "word": " اذا", "probability": 0.25494384765625}, {"start": 3282.33, "end": 3282.41, "word": " كان", "probability": 0.94580078125}, {"start": 3282.41, "end": 3282.63, "word": " فتح", "probability": 0.8714192708333334}, {"start": 3282.63, "end": 3283.13, "word": " ضال؟", "probability": 0.8216145833333334}, {"start": 3283.13, "end": 3283.73, "word": " لو", "probability": 0.53857421875}, {"start": 3283.73, "end": 3283.87, "word": " هنا", "probability": 0.9462890625}, {"start": 3283.87, "end": 3284.01, "word": " كان", "probability": 0.97900390625}, {"start": 3284.01, "end": 3284.25, "word": " فتح", "probability": 0.9972330729166666}, {"start": 3284.25, "end": 3285.07, "word": " ضال؟", "probability": 0.8616536458333334}, {"start": 3285.07, "end": 3286.03, "word": " اتنين؟", "probability": 0.719140625}, {"start": 3286.03, "end": 3286.23, "word": " ايش", "probability": 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مساحة مستطيل طب Sigma في A برضه مستطيل وقعد ايه معناه يطلع نفسي الجواب؟", "tokens": [5016, 7435, 2304, 1975, 2407, 47524, 39319, 3660, 2423, 13063, 41891, 13672, 7578, 10874, 47283, 41891, 11778, 47283, 1211, 11296, 11778, 16373, 25720, 49429, 3714, 14851, 9566, 26895, 22807, 3714, 14851, 9566, 26895, 1975, 15730, 31767, 28480, 462, 43242, 4117, 1975, 2655, 1863, 9957, 462, 8978, 316, 4724, 3794, 316, 8032, 995, 11778, 7578, 37893, 47524, 39319, 3660, 11778, 16373, 25720, 47524, 39319, 3660, 3714, 14851, 9566, 26895, 23032, 3555, 36595, 8978, 316, 4724, 43042, 3224, 3714, 14851, 9566, 26895, 4032, 4587, 22488, 1975, 1829, 3224, 20449, 8315, 3224, 7251, 9566, 1211, 3615, 8717, 36178, 1829, 25724, 14407, 3555, 22807], "avg_logprob": -0.28186880125857816, "compression_ratio": 1.798913043478261, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 3291.57, "end": 3291.99, "word": "حجم", "probability": 0.6844075520833334}, {"start": 3291.99, "end": 3292.45, "word": " او", 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"probability": 0.9503580729166666}, {"start": 3303.61, "end": 3304.05, "word": " مساحة", "probability": 0.9641927083333334}, {"start": 3304.05, "end": 3304.51, "word": " مستطيل", "probability": 0.9227294921875}, {"start": 3304.51, "end": 3305.51, "word": " طب", "probability": 0.759521484375}, {"start": 3305.51, "end": 3306.01, "word": " Sigma", "probability": 0.412109375}, {"start": 3306.01, "end": 3306.61, "word": " في", "probability": 0.97705078125}, {"start": 3306.61, "end": 3306.97, "word": " A", "probability": 0.93115234375}, {"start": 3306.97, "end": 3307.47, "word": " برضه", "probability": 0.9837239583333334}, {"start": 3307.47, "end": 3308.23, "word": " مستطيل", "probability": 0.9718017578125}, {"start": 3308.23, "end": 3309.35, "word": " وقعد", "probability": 0.6200358072916666}, {"start": 3309.35, "end": 3309.55, "word": " ايه", "probability": 0.90771484375}, {"start": 3309.55, "end": 3309.69, "word": " معناه", "probability": 0.6693929036458334}, {"start": 3309.69, "end": 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"word": " بقيت", "probability": 0.64306640625}, {"start": 3316.01, "end": 3316.43, "word": " تدور", "probability": 0.8123372395833334}, {"start": 3316.43, "end": 3316.71, "word": " على", "probability": 0.88671875}, {"start": 3316.71, "end": 3316.99, "word": " ست", "probability": 0.719970703125}, {"start": 3316.99, "end": 3317.47, "word": " أسطح", "probability": 0.944091796875}, {"start": 3317.47, "end": 3318.07, "word": " دورت", "probability": 0.9251302083333334}, {"start": 3318.07, "end": 3318.19, "word": " على", "probability": 0.927734375}, {"start": 3318.19, "end": 3318.45, "word": " تلت", "probability": 0.81201171875}, {"start": 3318.45, "end": 3318.81, "word": " أسطح", "probability": 0.9942626953125}, {"start": 3318.81, "end": 3318.95, "word": " ولا", "probability": 0.6748046875}, {"start": 3318.95, "end": 3319.63, "word": " لأ؟", "probability": 0.6381022135416666}, {"start": 3319.63, "end": 3319.93, "word": " إذا", "probability": 0.625244140625}, {"start": 3319.93, "end": 3320.51, "word": " نفس", "probability": 0.9482421875}, {"start": 3320.51, "end": 3321.33, "word": " الجواب", "probability": 0.95703125}, {"start": 3321.33, "end": 3321.87, "word": " مافيش", "probability": 0.8352864583333334}, {"start": 3321.87, "end": 3322.01, "word": " أي", "probability": 0.853515625}, {"start": 3322.01, "end": 3322.43, "word": " اشكالية", "probability": 0.775}, {"start": 3322.43, "end": 3322.95, "word": " إذا", "probability": 0.839599609375}, {"start": 3322.95, "end": 3323.65, "word": " ماتفقين", "probability": 0.7458984375}, {"start": 3323.65, "end": 3324.57, "word": " جاوز", "probability": 0.74993896484375}, {"start": 3324.57, "end": 3324.77, "word": " ال", "probability": 0.916015625}, {"start": 3324.77, "end": 3325.27, "word": " surface", "probability": 0.8837890625}, {"start": 3325.27, "end": 3326.09, "word": " either", "probability": 0.9169921875}, {"start": 3326.09, "end": 3327.69, "word": " sphere", "probability": 0.85595703125}, {"start": 3327.69, "end": 3328.81, "word": " or", "probability": 0.880859375}, {"start": 3328.81, "end": 3329.95, "word": " cylinder", "probability": 0.6513671875}, {"start": 3329.95, "end": 3330.49, "word": " بس", "probability": 0.91259765625}, {"start": 3330.49, "end": 3331.45, "word": " متوازي", "probability": 0.808349609375}, {"start": 3331.45, "end": 3331.85, "word": " مستطيلات", "probability": 0.69150390625}, {"start": 3331.85, "end": 3332.49, "word": " بلزمنيش", "probability": 0.7970377604166666}, {"start": 3332.49, "end": 3333.73, "word": " بلزمنيش", "probability": 0.8769124348958334}, {"start": 3333.73, "end": 3334.33, "word": " إطلاقا", "probability": 0.86884765625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3336.05725, "duration_after_vad": 3205.6472187499826}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e873d408bf76c1f72edbe5aba0b6ec420fe098e1
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/N5nfmJ1eEnM_raw.srt
@@ -0,0 +1,2856 @@
+1
+00:00:00,000 --> 00:00:02,660
+موسيقى
+
+2
+00:00:17,300 --> 00:00:22,280
+بسم الله الرحمن الرحيم نستأنف الأمثلة على قانون
+
+3
+00:00:22,280 --> 00:00:27,800
+gauss أول test عملناه انه جبنا شدة المجال for
+
+4
+00:00:27,800 --> 00:00:32,520
+appointed charge applying gauss's law وشفنا انه
+
+5
+00:00:32,520 --> 00:00:39,910
+النتيجة واحدة طلع الجواب kq over r² as expectedهذا
+
+6
+00:00:39,910 --> 00:00:43,550
+المثال الأول عشان يعطينا اطمئنان ان قانون gauss
+
+7
+00:00:43,550 --> 00:00:49,530
+applicable for some configurations نعيد ان قانون
+
+8
+00:00:49,530 --> 00:00:56,270
+gauss لا ينطبق الا على تلت حالات منهمش رابعالاشكال
+
+9
+00:00:56,270 --> 00:01:01,250
+الكراوية بجميع حالاتها وبجميع أحجامها الشغلات
+
+10
+00:01:01,250 --> 00:01:04,810
+الاستوانية يعني الأجسام المشحونة لو كانت استوانية
+
+11
+00:01:04,810 --> 00:01:09,790
+شرط انها تكون طويلة جدا استطيع تطبيق قانون جاوس
+
+12
+00:01:09,790 --> 00:01:16,150
+عليها والاشكال المسطحة برضه مشروطة بكبرها بحيث ان
+
+13
+00:01:16,150 --> 00:01:19,930
+تكون with infinite extents هذه الحالات اللي بنطبق
+
+14
+00:01:19,930 --> 00:01:22,910
+عليها قانون جاوس ذات كده عشان اطبق قانون جاوس
+
+15
+00:01:22,910 --> 00:01:28,640
+مطلوب مني اختارالـ Closed Gaussian Surface وهذا
+
+16
+00:01:28,640 --> 00:01:33,140
+الـ Gaussian Surface Hypothetical يعني خيامي وهمي
+
+17
+00:01:33,140 --> 00:01:37,490
+انا بحطه وبالتالي مابكونش عليه شحناتما هو همي؟ من
+
+18
+00:01:37,490 --> 00:01:41,490
+وين بدو يجي الشحمات عليه؟ تمام؟ و بعد هيك بكمل و
+
+19
+00:01:41,490 --> 00:01:44,910
+بلاقي ان الجواب بطلع كتير سهل فكان ال example
+
+20
+00:01:44,910 --> 00:01:50,470
+الحقيقي اللي هنطبق عليه قانون جاوس لإيجاد شدة
+
+21
+00:01:50,470 --> 00:01:55,570
+المجال الكهربائي بقول a thin spherical shell of
+
+22
+00:01:55,570 --> 00:02:00,850
+radius a has a total charge capital Q uniformly
+
+23
+00:02:00,850 --> 00:02:04,210
+distributed over its surface طبعا its surface لأنه
+
+24
+00:02:04,210 --> 00:02:07,910
+من جوا فاضيوبالتالي الشحنات بتكون على السطح هاي
+
+25
+00:02:07,910 --> 00:02:12,610
+الرسمة .. طبعا هدى مش ring هدى shell عشان الرسمة
+
+26
+00:02:12,610 --> 00:02:16,450
+مرات يتخيل الطالب انها عبارة عن ring دي خربت هدى
+
+27
+00:02:16,450 --> 00:02:19,810
+سفير بس من جوا فاضية وفي فرق ما بين ال ring
+
+28
+00:02:19,810 --> 00:02:24,210
+الدائرة و بين السفير فانا بتعامل مع السفير بس من
+
+29
+00:02:24,210 --> 00:02:28,690
+جوا فاضية عشان كده الشحنات موجودة على السطح لو
+
+30
+00:02:28,690 --> 00:02:32,250
+كانت ring بصير الشحنات على محيط صح ولا لأ لأ لكن
+
+31
+00:02:32,250 --> 00:02:38,120
+هي surfaceهيكيو نسخة ايه زي ما حكى المطلوب find
+
+32
+00:02:38,120 --> 00:02:42,120
+the magnitude of the electric field at a point
+
+33
+00:02:42,120 --> 00:02:47,340
+لازم دائما يقولي where we have to evaluate E فهو
+
+34
+00:02:47,340 --> 00:02:52,120
+هنا معطيني evaluate E at a point outside the shell
+
+35
+00:02:52,120 --> 00:02:56,480
+و and at a point inside the shell يقولي اي نقطة
+
+36
+00:02:56,480 --> 00:03:01,180
+اختارها بس تكون برا مرة و مرة جوا تمام؟سلوشي نبدأ
+
+37
+00:03:01,180 --> 00:03:06,340
+باللي برا نختار نقطة
+
+38
+00:03:06,340 --> 00:03:10,020
+عشوائية
+
+39
+00:03:10,020 --> 00:03:13,320
+نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة
+
+40
+00:03:13,320 --> 00:03:19,960
+عشوائية نختار نقطة عشوائية نختار نقطة عشوائية
+
+41
+00:03:19,960 --> 00:03:21,200
+نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة
+
+42
+00:03:21,200 --> 00:03:21,360
+عشوائية نختار نقطة عشوائية نختار نقطة عشوائية
+
+43
+00:03:21,360 --> 00:03:21,360
+نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة
+
+44
+00:03:21,360 --> 00:03:21,360
+عشوائية نختار نقطة عشوائية نختار نقطة عشوائية
+
+45
+00:03:21,360 --> 00:03:21,360
+نختار نقطة عشوائية نختار نقطة عشوائية نختار نقطة
+
+46
+00:03:21,360 --> 00:03:23,600
+عشوائية نختار
+
+47
+00:03:26,180 --> 00:03:30,080
+يجب أن نختار اذا قانون جاوس قادر على استخدامه او
+
+48
+00:03:30,080 --> 00:03:33,100
+لا. كيف يعني؟ هل ينطبق قانون جاوس على هذا الشكل
+
+49
+00:03:33,100 --> 00:03:37,360
+ولا لا؟ هذه أول test اللي عندي المعلومة أنه ينطبق
+
+50
+00:03:37,360 --> 00:03:40,560
+فقط على تلت أنواع أشكال قراوية أشكال الصوانية
+
+51
+00:03:40,560 --> 00:03:44,000
+طويلة جدا أشكال مصطلحة كبيرة جدا الشكل المشحون
+
+52
+00:03:44,000 --> 00:03:49,020
+كيف؟ قراوية ينطبق قانون جاوس إذا أول test عملته
+
+53
+00:03:49,020 --> 00:03:55,500
+نجحالان بدأ اشتغل الخطوة التالية اختار سطح وهمى
+
+54
+00:03:55,500 --> 00:04:00,460
+سمى gaussian surface and should have the same
+
+55
+00:04:00,460 --> 00:04:03,580
+symmetry of the charge distribution, the charge
+
+56
+00:04:03,580 --> 00:04:06,280
+distribution is spherical اذا سطح الجاوس بيكون
+
+57
+00:04:06,280 --> 00:04:09,780
+سفير صح ولا لأ احنا حاولنا سطح الجاوس اللى بدي
+
+58
+00:04:09,780 --> 00:04:14,580
+اختاره لازم يكون بيشبه الجسم المشحون الجسم المشحون
+
+59
+00:04:14,580 --> 00:04:15,460
+كيف شكله؟
+
+60
+00:04:20,650 --> 00:04:25,570
+النقطة التانية ان ال point should lie on the
+
+61
+00:04:25,570 --> 00:04:28,470
+surface on the Gaussian surface اذا صارت واضحة
+
+62
+00:04:28,470 --> 00:04:32,310
+الأمور since the charge distribution is spherical
+
+63
+00:04:32,310 --> 00:04:37,010
+we choose a spherical Gaussian surface constantly
+
+64
+00:04:37,010 --> 00:04:41,310
+with the shell متحدة البركز مع الشل فهي سطح جاسكتر
+
+65
+00:04:41,310 --> 00:04:46,580
+معاههذه سطح الجاوز واتفقنا احنا عاملينه منقط عشان
+
+66
+00:04:46,580 --> 00:04:49,900
+to ensure that it is a hypothetical surface .. to
+
+67
+00:04:49,900 --> 00:04:53,620
+ensure that it is a hypothetical surface وبالتالي
+
+68
+00:04:53,620 --> 00:04:59,480
+منقط يعني هو مش حقيقي احكيلازم تكون موجودة بدونها
+
+69
+00:04:59,480 --> 00:05:04,580
+بتتوقف يعني لو واحد مارصمش جوز ان سيفس و بدأ حل
+
+70
+00:05:04,580 --> 00:05:08,660
+بيكون باصم مش عارف اللي بيسويه لأنه انت كيف بيسوي
+
+71
+00:05:08,660 --> 00:05:12,100
+علاجاء السطح انت مش راقمه كيف انا بيدور عليك اقولك
+
+72
+00:05:12,100 --> 00:05:16,580
+انت وين ال qn وين ايه اللي السطح بدي اعرف وين هو
+
+73
+00:05:17,100 --> 00:05:21,600
+تمام؟ إذا هذه خطوة مركزية، إن سطح جاس لازم يبين في
+
+74
+00:05:21,600 --> 00:05:26,560
+الرسمة، لابد، وإلا كانت تشتغل جاهز، تمام؟ بعد ما
+
+75
+00:05:26,560 --> 00:05:29,660
+عملتها وعيسمته Gaussian Surface، واضح إن هذا هو
+
+76
+00:05:29,660 --> 00:05:33,320
+Gaussian Surface، لازم تكون موجودة كخطوة مركزية
+
+77
+00:05:33,320 --> 00:05:38,340
+وضروريةit is clear طبعا اذا جيت بعد ما انا اشتغلت
+
+78
+00:05:38,340 --> 00:05:44,140
+مفروض زي ما شرحلي او اقنعني ان يكون الان امنت ان E
+
+79
+00:05:44,140 --> 00:05:48,860
+is constant over the surface صح ولا لأ الان السطح
+
+80
+00:05:48,860 --> 00:05:54,200
+جاوزي ال surface اتداشت ات dotted هذا المنقطةطول
+
+81
+00:05:54,200 --> 00:06:00,200
+ما انت ماشي عليه هال E بتتغير؟ لأ قطعا اذا انت حصل
+
+82
+00:06:00,200 --> 00:06:05,840
+اخترائك لسطح جاوس هو اللي بيأملك ثابت E on the
+
+83
+00:06:05,840 --> 00:06:08,860
+surface وهي لو انا اختار السطح غير هذا السطح ايه
+
+84
+00:06:08,860 --> 00:06:12,860
+بتكون الثابتة؟ لو واحد حكى انا بدي سطح مغلق جاوس
+
+85
+00:06:12,860 --> 00:06:18,220
+حكى انا closed surface بدي اختار متوازى مستطيلات
+
+86
+00:06:18,890 --> 00:06:21,570
+متوازن مستطيلات تشوفوا انتوا هى متوازن مستطيلات
+
+87
+00:06:21,570 --> 00:06:24,350
+الغرفة ولا لا اتصوروا الكورة مش هون محتوطة في النص
+
+88
+00:06:24,350 --> 00:06:30,190
+و اتخيلوا اى surface من الغرفة هل بيكون طول ما انت
+
+89
+00:06:30,190 --> 00:06:33,810
+ماشي على ال surface على ابعاد متساوية من الكورة لأ
+
+90
+00:06:33,810 --> 00:06:37,950
+اذا ايه not constant اذا لو انت ال Gaussian
+
+91
+00:06:37,950 --> 00:06:43,330
+surface مش كراوي ايه will not be constantتمام؟
+
+92
+00:06:43,330 --> 00:06:47,310
+وبطبعا وزي ما فيها مشكلة وبالتالي انا بأحكي انه
+
+93
+00:06:47,310 --> 00:06:53,130
+لازم سطح جاوس يكون نفس الشكل عشان هدف وحيد بسعاره
+
+94
+00:06:53,130 --> 00:06:58,670
+في الآخر ثبات ال E لأن قانون جاوس اللي بشتغل عليه
+
+95
+00:06:58,670 --> 00:07:06,550
+بيقول تكامل المغلق ل E ضد ال DA بتساوي QN على ي
+
+96
+00:07:06,550 --> 00:07:11,430
+نوت فح ولا لأ؟أنا جيت هذا التكامل إذا هذه E ما
+
+97
+00:07:11,430 --> 00:07:16,650
+طلعتش برا ملزم أجيب علاقة بين E و A صح ولا لأ؟ طب
+
+98
+00:07:16,650 --> 00:07:19,470
+و أنت بتجيب عليك تجيب علاقة و E مش معروف لسه؟ طب
+
+99
+00:07:19,470 --> 00:07:22,150
+أنت مطلوب أنك تجيب E كيف أنك تجيب علاقة؟ إذا جيبت
+
+100
+00:07:22,150 --> 00:07:27,550
+علاقة خلّصت إتصال إذا موية إنك تجيب علاقة لأن E is
+
+101
+00:07:27,550 --> 00:07:33,660
+not knownالتالي الحل الوحيد إنك تشغل بقانون جارس
+
+102
+00:07:33,660 --> 00:07:39,780
+إنه must be constant يطلع برا بصير تكامل ال DAA
+
+103
+00:07:39,780 --> 00:07:45,420
+وإلا إذا مش ثابت تقدرش تعمل حاجة بتحط القانون و
+
+104
+00:07:45,420 --> 00:07:50,690
+بتتفرج عليه ولا خطوة تقدر تخطو بعد كدهكيف هيكون
+
+105
+00:07:50,690 --> 00:07:54,130
+ثابت؟ الخطوات اللي حكينا عنها لازم الجسم يكون اما
+
+106
+00:07:54,130 --> 00:07:57,970
+كراوي او صواني طول جدا الجسم المشحون انا قصدي او
+
+107
+00:07:57,970 --> 00:08:01,610
+بلين كبير جدا لازم سطح الجاس اللي بتختار يكون يشبه
+
+108
+00:08:01,610 --> 00:08:07,550
+الجسم المشحون وإلا هذا الشرط لا يتحقق اطلاقا واضح
+
+109
+00:08:07,550 --> 00:08:14,180
+يا شباب؟طبعا بعد احنا هجيت بعد ما عملنا اتأكدنا
+
+110
+00:08:14,180 --> 00:08:16,760
+انه ايه ال constants بتطلعها برا فيه مشكلة dot
+
+111
+00:08:16,760 --> 00:08:20,380
+product بتشتغل انا وياكم عليها dot product بتعطي
+
+112
+00:08:20,380 --> 00:08:26,980
+cosine theta between E and A صح ولا لأ هجيت E لازم
+
+113
+00:08:26,980 --> 00:08:31,500
+تكون باتجاه أنصاف الأكتر لو اجيت انا بدأ ارسم شباب
+
+114
+00:08:31,500 --> 00:08:37,080
+E من الشكل الأحمر هيجيني E هيكو E هيك دي جانسة في
+
+115
+00:08:37,080 --> 00:08:41,980
+الأقطار و E هيك و هكذا بدل ما انا مش عارف ايه صح
+
+116
+00:08:41,980 --> 00:08:46,840
+ولا لأ لازم يكون هيك طيب لو بدي اجيب عند اي نقطة
+
+117
+00:08:46,840 --> 00:08:49,340
+لسطح جوز A هنا كي بدرسمها
+
+118
+00:08:52,510 --> 00:08:58,630
+طب هنا هيك طب هنا هيك كدهش الزاوية بينهم؟ Zero إذا
+
+119
+00:08:58,630 --> 00:09:02,570
+الدكتور برضه اتحلت مشكلته تمام بيقول it is clear
+
+120
+00:09:02,570 --> 00:09:05,590
+that E is normal to the surface at every point in
+
+121
+00:09:05,590 --> 00:09:09,390
+the Gaussian surface that is E and DA are parallel
+
+122
+00:09:09,390 --> 00:09:14,290
+يعني E و DA بينهم زاوية Zero أنا هنا طبعا هي خط
+
+123
+00:09:14,290 --> 00:09:17,490
+المجال الأخضر اللي أنا عصمه بدل واحد من الحمر أخدت
+
+124
+00:09:17,490 --> 00:09:21,230
+واحد منهم طبعا خط المجال بيبدأ من الشحنات من الجزر
+
+125
+00:09:21,230 --> 00:09:25,750
+الأحمرصح ولا لأ؟ وإيه .. هدى القانون .. هدى لمين
+
+126
+00:09:25,750 --> 00:09:30,030
+شباب؟ بصحة إيش هدى؟ الجسم المشغول ولا سطح المغلق؟
+
+127
+00:09:30,030 --> 00:09:34,990
+السطح الجعص .. السطح الجعص فهدى for gaussian
+
+128
+00:09:34,990 --> 00:09:42,090
+surface هدى
+
+129
+00:09:42,090 --> 00:09:44,810
+تبقى دى إيه؟ طب gaussian surface يعني إيه؟ إيه؟ من
+
+130
+00:09:44,810 --> 00:09:50,210
+وين بتيجي؟ من هنامش من الحمراء من المتجة فإيه أرسم
+
+131
+00:09:50,210 --> 00:09:52,730
+دي إيه عندي النقطة هاي الصمرة انطبقوا على بعض ولا
+
+132
+00:09:52,730 --> 00:09:56,990
+انطبقوش انطبقوا characters إذا زاوية Zero وما زالت
+
+133
+00:09:56,990 --> 00:10:01,630
+زاوية Zero أصبحت عندي ال dot of product راحت فصرت
+
+134
+00:10:01,630 --> 00:10:07,770
+E طلعتها برا ال dot of product equal to oneدى ايه؟
+
+135
+00:10:07,770 --> 00:10:13,650
+ايش تكملها؟ A بتسوى Q in over Y not .. Q in over Y
+
+136
+00:10:13,650 --> 00:10:18,970
+not .. what is Q in؟ what we mean by Q in؟ داخل
+
+137
+00:10:18,970 --> 00:10:24,150
+مين؟ داخل سطح جوز .. هجيت اي واحد اقوله فيه جوا
+
+138
+00:10:24,150 --> 00:10:29,830
+شحنات Gaussian surface داخله مش عليه .. داخله ..
+
+139
+00:10:29,830 --> 00:10:34,120
+فيه شحنات او مافيه شحنات؟أزميركم هذا جوه الغرفة
+
+140
+00:10:34,120 --> 00:10:36,240
+ولا مش جوه الغرفة؟ عشان يكون جوه الغرفة يجب يكون
+
+141
+00:10:36,240 --> 00:10:40,260
+ملزج بالحيطة؟ ايه جوه الغرفة؟ هذه الشكل الأحمر جوه
+
+142
+00:10:40,260 --> 00:10:43,180
+سطح جاوس ولا مش جوه سطح جاوس؟ في جوه سطح جاوس
+
+143
+00:10:43,180 --> 00:10:48,280
+شحناته ولا لا؟ قديش مقدارها؟ كلها .. كلها .. في أي
+
+144
+00:10:48,280 --> 00:10:52,160
+واحد من الشحنات طالع برا بديش إياه؟ كله طب كله
+
+145
+00:10:52,160 --> 00:11:00,260
+قديش مقداره؟ كامة على كيلو معناته شباكالـ QN سهل
+
+146
+00:11:00,260 --> 00:11:07,240
+اتعامل معاها الـ QN هادى هي Q هي هادى صح ولا لأ
+
+147
+00:11:07,240 --> 00:11:13,940
+كلها جوا في جزء من الجاعة بتأرجع برا بديش احسبهكله
+
+148
+00:11:13,940 --> 00:11:20,840
+بيدياه إذا الـ QN بتساوي Q على إبسلون نوت صح شباب
+
+149
+00:11:20,840 --> 00:11:26,400
+طيب إيه هذه صعب أجيبها مشجونة لـ Gaussian Surface
+
+150
+00:11:26,400 --> 00:11:30,080
+هجيب أكتب أربع عضاي A تربيع والله أربع عضاي R
+
+151
+00:11:30,080 --> 00:11:35,740
+تربيع R تربيع لأنه هذه سطح جاسس So we have to be
+
+152
+00:11:35,740 --> 00:11:40,660
+carefully هنا لو حاطيت A تربيع السؤال التالت تلبحه
+
+153
+00:11:40,660 --> 00:11:45,200
+بروحليكلو حطيت بالي ال R ايه فتتربقى السؤال راح
+
+154
+00:11:45,200 --> 00:11:48,720
+لان انت بطلت تجيب التكامل على gaussian surface
+
+155
+00:11:48,720 --> 00:11:52,400
+صارت تجيب التكامل على الجسم المشحون وانا هنا بقول
+
+156
+00:11:52,400 --> 00:11:55,880
+gauss هذا التكامل على سطح gauss وسطح gauss انت
+
+157
+00:11:55,880 --> 00:12:00,100
+اللي اشتغلته وانت اللي حاطيته فهذه مساحة سطح gauss
+
+158
+00:12:00,100 --> 00:12:05,180
+مش مساحة الجسم المشحون واضح شباب فهذه ال QM
+
+159
+00:12:05,180 --> 00:12:07,560
+فعملناها الآن بطئه
+
+160
+00:12:11,220 --> 00:12:19,380
+معروفة بتساوي الأربعة by a² or r² not a² تمت طلع
+
+161
+00:12:19,380 --> 00:12:28,540
+الجواب خلاص انتهت السؤال الان the second احكي ليه
+
+162
+00:12:28,540 --> 00:12:36,870
+جمت المساحة دي زادت لو هو اكترش الفرقس طيبأنا هجيت
+
+163
+00:12:36,870 --> 00:12:41,210
+بدي بفلكس قاعد ولا بدي بمجال هذا الفلكس اللي
+
+164
+00:12:41,210 --> 00:12:45,590
+بتأثرش the
+
+165
+00:12:45,590 --> 00:12:51,050
+second we have to find the electric field at a
+
+166
+00:12:51,050 --> 00:12:57,290
+point inside the shell inside the shell تمام طبعا
+
+167
+00:12:57,290 --> 00:12:58,430
+في النقطة هذه
+
+168
+00:13:03,150 --> 00:13:08,510
+هذه سطح جاوس صح ولا لأ لأن سطح جاوس عنده شرط لازم
+
+169
+00:13:08,510 --> 00:13:12,670
+النقطة تكون وقع عليه مظبوط ولا لأ كراوي كراوي
+
+170
+00:13:12,670 --> 00:13:16,730
+النقطة عليه النقطة عليه النقطة تتغيرت هو بلحاجها
+
+171
+00:13:16,730 --> 00:13:22,410
+هذه سطح جاوس ثم كمان مرة يقول it is clear that
+
+172
+00:13:22,410 --> 00:13:25,290
+there is no charge inside the Gaussian surface
+
+173
+00:13:25,290 --> 00:13:27,650
+Gaussian surface شايفونه يا شباب هذه Gaussian
+
+174
+00:13:27,650 --> 00:13:34,370
+surfaceجوا في شحنات في أي منطقة حمرا جوا اذا الـ Q
+
+175
+00:13:34,370 --> 00:13:40,350
+in قداش؟ Zero That is Q in equal to zero سهلة اذا
+
+176
+00:13:40,350 --> 00:13:45,210
+معناته ايه بتساوي Zero؟ اذا ايه بتساوي Zero؟ هنا
+
+177
+00:13:45,210 --> 00:13:51,570
+الشغل سهل جدا ومابدهاش اي شغل ولا اي تفكير خلاص
+
+178
+00:13:51,570 --> 00:13:55,690
+بنص سطر بقول since Q in equal to zero اذا E equal
+
+179
+00:13:55,690 --> 00:13:59,810
+to zero نحل السؤال خلاص في اي استفسار هنا شباب؟
+
+180
+00:14:02,360 --> 00:14:08,860
+تمام؟ كمان مثال بيقول لي I'm insulating sphere كرة
+
+181
+00:14:08,860 --> 00:14:13,980
+مصممة ومصنوعة من مادة عازلة تصور عندك كرة مصنوعة
+
+182
+00:14:13,980 --> 00:14:19,220
+من مادة لبلاستيك أو المطاط بس المطاط لبلاستيك معاد
+
+183
+00:14:19,220 --> 00:14:23,840
+عازلة تمام؟ مصممة يعني جوا مليانة كلها مادة
+
+184
+00:14:23,840 --> 00:14:28,250
+لبلاستيكأفريدياس A لديها تشارج كبيتال اكيو
+
+185
+00:14:28,250 --> 00:14:31,670
+Uniformly Distributed Through Its Volume و هذه
+
+186
+00:14:31,670 --> 00:14:35,770
+واحد جيبت حقنتها بشحنات حقنتها بشحنات و حاطيت
+
+187
+00:14:35,770 --> 00:14:39,210
+دلوقتي محط شحنات شحنات شحنات لما صار و لما تحط
+
+188
+00:14:39,210 --> 00:14:43,810
+أصبعك جوا بتلاقي شحنات Uniformly Distributed صارت
+
+189
+00:14:43,810 --> 00:14:48,770
+الشحنات موزعة على كل الحجم Everywhere inside the
+
+190
+00:14:48,770 --> 00:14:52,550
+sphere we have a charge واضح شباب؟ اذا عندي شحنات
+
+191
+00:14:52,550 --> 00:14:57,380
+مالية الكرة ترىطبعا ايش افرقت بين conductor و
+
+192
+00:14:57,380 --> 00:15:00,220
+insulator هنيجي لاحقا انه في ال insulator و اين ما
+
+193
+00:15:00,220 --> 00:15:04,000
+تحط الشحنة بيبقى لها واقفة تتحركش لأنه there is no
+
+194
+00:15:04,000 --> 00:15:07,360
+way to move مظبوط ولا لأ لكن لو conductor تتحرك
+
+195
+00:15:07,360 --> 00:15:11,600
+وبالتالي متضمنش انت اين تحطها الى خواص اخرى هذه
+
+196
+00:15:11,600 --> 00:15:15,880
+الكرة الزرقاش اللي انت شايفينها كلها مشهونة كلها
+
+197
+00:15:15,880 --> 00:15:22,030
+مشهونة شحنتها كبيتة ل Qطبعا كل المنطقة الزرقى شباب
+
+198
+00:15:22,030 --> 00:15:25,910
+فيها شحنات وين ما في لون أزرق فيه شحنات هي معناتها
+
+199
+00:15:25,910 --> 00:15:29,410
+ايش مطلوب؟ هذه نسختها ايه؟ زي ما هو حاكي بقولي
+
+200
+00:15:29,410 --> 00:15:33,190
+calculate the electric field E outside the shell
+
+201
+00:15:33,190 --> 00:15:37,090
+او outside الاسفير الاسفير هنا و inside الاسفير
+
+202
+00:15:37,090 --> 00:15:40,950
+الشل أو السفير مش قضية عندي هنا ممكن تتجاوز او
+
+203
+00:15:40,950 --> 00:15:44,550
+تتطلع صح اذا بدي وشدت المجال برا وشدت المجال جوا
+
+204
+00:15:44,550 --> 00:15:51,470
+زي المثال السابق ايش أفرقك؟ بقولي solution againلأ
+
+205
+00:15:51,470 --> 00:15:57,330
+مصممة .. النقطة .. اقولك انا احط سفير او حط شيل
+
+206
+00:15:57,330 --> 00:16:02,390
+بتفرخش كتير لكن هو اذا بدك حط سفير انت لما تقول
+
+207
+00:16:02,390 --> 00:16:06,290
+جوا و برا معناته جوا و برا أيش؟ السطح فممكن تجاوزك
+
+208
+00:16:06,290 --> 00:16:08,930
+تقول الشيل لكن هو خليه سفير، تمام؟
+
+209
+00:16:22,260 --> 00:16:25,180
+الحل الأولى اللى بنطبق عليها قانون جوز الشية
+
+210
+00:16:25,180 --> 00:16:30,260
+الأشكال صورية حالي الشكل كاراوي ولا لا؟ كاراوي اذا
+
+211
+00:16:30,260 --> 00:16:36,370
+ال test is success مافيش مشكلة عندىالخطوة التالية
+
+212
+00:16:36,370 --> 00:16:40,130
+بتختار سطح جاوس ولا لأ؟ ما زال قانون جاوس ينطبق
+
+213
+00:16:40,130 --> 00:16:44,610
+الخطوة الأولى بعد ذلك اختيار سطح جاوس وهو سطح مغلق
+
+214
+00:16:44,610 --> 00:16:49,210
+لازم يشبه الشكل المشحون الشكل المشحون كراوي السطح
+
+215
+00:16:49,210 --> 00:16:52,730
+اللى بتختاره ايش كراوي واحنا اتفقنا سطح جاوس حيكون
+
+216
+00:16:52,730 --> 00:16:58,300
+بس حالتين لا كراوية بس وانا ذاكرينها تمام؟مرة أخرى
+
+217
+00:16:58,300 --> 00:17:02,360
+لأن الاسفيريكال السيماتري للشبكات التي نختارها
+
+218
+00:17:02,360 --> 00:17:07,460
+اتسفيريكال جاوزيان سيرفيس افريديا متساومة
+
+219
+00:17:07,460 --> 00:17:11,580
+بالاسفيريكال هل بالنقطة اللي بدي احسن عنها شده في
+
+220
+00:17:11,580 --> 00:17:16,990
+مجال الشباب؟ وهل البعد R وR وهل سطح الجاز؟نفس
+
+221
+00:17:16,990 --> 00:17:22,250
+الجبلة عالية نفس الجبلة ولا في اشي كمان مرة بيقول
+
+222
+00:17:22,250 --> 00:17:24,990
+لي هاي جوز ال surface as for the case in the
+
+223
+00:17:24,990 --> 00:17:27,250
+previous example زي ما حكيته انتوا زي المرة
+
+224
+00:17:27,250 --> 00:17:33,550
+الماضية E ثابتة على السطح المجد ولا لأ and E و E
+
+225
+00:17:33,550 --> 00:17:37,590
+parallel يعني الزاوية zero يعني ال product راحت
+
+226
+00:17:37,590 --> 00:17:44,570
+فبصير عنديالمشكلة هي هذه بس كلها بديها في جزء منها
+
+227
+00:17:44,570 --> 00:17:49,070
+بديش إياه لأ كلها بديها إذا E في A بتسوى Q على
+
+228
+00:17:49,070 --> 00:17:56,210
+إبسلو نوت أو E هذه Substituting for A بي A بتسوى 4
+
+229
+00:17:56,210 --> 00:18:02,190
+πي R square كمان بغى A equal 4 πي R square not 4
+
+230
+00:18:02,190 --> 00:18:05,690
+بي A square صح ولا لأ لأن هذه مساحة سطح جاوس اللي
+
+231
+00:18:05,690 --> 00:18:09,410
+بتختاره انت طلعني جوا مافيش مشكلة
+
+232
+00:18:16,260 --> 00:18:20,800
+لان المشكلة جوا المرة دي جوا كان يشتغل الجوال لانه
+
+233
+00:18:20,800 --> 00:18:26,200
+كانت من جوا فاضية صح هنا فيش احنا طيب هاي نرجع وهي
+
+234
+00:18:26,200 --> 00:18:31,130
+النقطةشكل كراوي ينطبق عليه قانون جاوس اختار سطح
+
+235
+00:18:31,130 --> 00:18:34,370
+جاوس سطح جاوس يجب أن يكون كراوي والنقطة تكون عليه
+
+236
+00:18:34,370 --> 00:18:38,730
+هل سطح جاوس تبقى الفرق الأول ينطبق من فعل استخدامه
+
+237
+00:18:38,730 --> 00:18:45,550
+لأ لأنه كان برا اذا هاي سطح جاوس هاي R هاي سطح
+
+238
+00:18:45,550 --> 00:18:50,270
+جاوس هذا سطح جاوس اللي اختارناه الأزرق الغامي
+
+239
+00:18:50,270 --> 00:18:56,200
+الغامق ال dark blue تمام هجيت مشكلتي وين؟مشكلتي في
+
+240
+00:18:56,200 --> 00:19:03,820
+الـ Q in هل ال Q in كل Q؟ لأ ال light blue هذا
+
+241
+00:19:03,820 --> 00:19:10,760
+بدياهلأ بيذنّيش الـ Q in is the charge inside the
+
+242
+00:19:10,760 --> 00:19:14,440
+gaussian surface و gaussian surface هيه يا شباب
+
+243
+00:19:14,440 --> 00:19:20,100
+هيه إذا أنا بدي فقط الشحنات هذه صح ولا لأ يعني
+
+244
+00:19:20,100 --> 00:19:24,400
+واحدة واحدة بدي الجزء ولا الكل جزء من كل وما زال
+
+245
+00:19:24,400 --> 00:19:27,720
+بدي جزء من كل و الجزء أنا بعرفهاش لأ أنا جاي رجول
+
+246
+00:19:27,720 --> 00:19:32,200
+نص ولا ربع ولا تلت لأ عشوائيلما بدي أخد جزء من كل
+
+247
+00:19:32,200 --> 00:19:36,600
+شباب بدي أذهب خاصة عني للـ Child Densities الـ
+
+248
+00:19:36,600 --> 00:19:41,020
+Sigma والـ Lambda والـ Rho هنا الـ Rho لأنه حجب
+
+249
+00:19:41,020 --> 00:19:47,480
+طيب الآن شباب لو أنا متوقع حد الباب كله مشحون
+
+250
+00:19:47,480 --> 00:19:53,980
+والباب هذا توقعوا أنه متوازن مستطيلةكله مشهور بقول
+
+251
+00:19:53,980 --> 00:19:59,620
+رو مش بتساوي Q على حجم الباب صح ولا لأ طب لو بدكم
+
+252
+00:19:59,620 --> 00:20:06,160
+بس حجم برف واحدة بدكم Q على حجم كل الباب ولا عضالة
+
+253
+00:20:06,160 --> 00:20:13,360
+فواحدة بس عضالة فواحدة صح ولا لأ الان انا بدي Q in
+
+254
+00:20:13,360 --> 00:20:18,920
+the dark blue صح ولا لأ بقدر اقول Q بتساوي رو في
+
+255
+00:20:18,920 --> 00:20:25,550
+حجم ال dark blueحجم ال dark blue مظبوط .. اه .. حد
+
+256
+00:20:25,550 --> 00:20:28,670
+Gaussian surface احنا عارفينه بيقول المشكلة عندك
+
+257
+00:20:28,670 --> 00:20:32,570
+الآن في Qn حل المشكلة في Qn لنحل السؤال to find
+
+258
+00:20:32,570 --> 00:20:36,570
+that charge Qn ال Qn يعني within the Gaussian
+
+259
+00:20:36,570 --> 00:20:41,410
+surface والGaussian surface اعتبر حجمه Vin تمام؟
+
+260
+00:20:42,230 --> 00:20:46,390
+نحن نستخدم الحقيقة أن الـQN بتثوره في VIN ضالفة
+
+261
+00:20:46,390 --> 00:20:50,070
+واحدة من الباب جزء من الكورة الجزء من الكورة حجم
+
+262
+00:20:50,070 --> 00:20:53,110
+ما بعرفهش يقول عنه VIN يعني الحجم اللي داخل سطح
+
+263
+00:20:53,110 --> 00:20:58,510
+جاوس مش اي سطح مغلق بيحوز جواته حجم هاي الحجم اللي
+
+264
+00:20:58,510 --> 00:21:01,670
+بدي إياها يعني الشحنات اللي جواته هي الشحنات اللي
+
+265
+00:21:01,670 --> 00:21:05,130
+متكون موجودة في VIN ولا لأ؟ اه هاي الشحنات اللي
+
+266
+00:21:05,130 --> 00:21:13,790
+بدك إياها حلو تبقى VIN تقدر تجيبها4 over 3 by R²
+
+267
+00:21:13,790 --> 00:21:17,890
+صح ولا لأ؟ حجم الكورة بتعرفه؟ طب روحها دي من وين
+
+268
+00:21:17,890 --> 00:21:22,090
+جبتها؟ روح ماعاله مادتنا إياها بدي أستخدمها من ضمن
+
+269
+00:21:22,090 --> 00:21:26,150
+المعطيات؟ لأ طب جيبها بدلالة معطياتك انت قولت روح
+
+270
+00:21:26,150 --> 00:21:29,770
+بيسوي شحنة على حجم الشحنة الكل إياها ماعطيك إياها
+
+271
+00:21:29,770 --> 00:21:35,590
+طب الحجم الكل معطى؟ مقدرين جيبه؟ اذا ممكن تجيب روح
+
+272
+00:21:35,590 --> 00:21:39,350
+بدلالة capital Q الحجم الكل ولا لأ؟ اذا معناته
+
+273
+00:21:39,350 --> 00:21:44,320
+بقولعن هذه الشحنات اللي بتديها صح شباب الشحنات هذه
+
+274
+00:21:44,320 --> 00:21:47,400
+بتساوره في الحجم الكل يواصل بحجم الشغلاء اللي
+
+275
+00:21:47,400 --> 00:21:52,080
+قاعدها بتومض بس هي وهذه اللي انا سميتها V-N
+
+276
+00:21:52,080 --> 00:21:56,600
+اعطيتها رمز V-N واقع شباب بس مجانا انا اذا مارح
+
+277
+00:21:56,600 --> 00:22:01,990
+الأمور شغلmathematics بسيط كان في المدارس ناخده
+
+278
+00:22:01,990 --> 00:22:06,010
+بقول where rho is the volume times density knowing
+
+279
+00:22:06,010 --> 00:22:11,830
+that V in equal 4 over 3 by R cubic صح ولا لأ؟ and
+
+280
+00:22:11,830 --> 00:22:18,290
+rho اللي انت جبته ومعلومة صحيحة equal capital Q
+
+281
+00:22:18,290 --> 00:22:22,270
+capital Q the charge of the total sphere over the
+
+282
+00:22:22,270 --> 00:22:28,540
+total volumeعلى over four by إيه تكعيب؟ خلاص هذه
+
+283
+00:22:28,540 --> 00:22:32,520
+أنا عرفت وهذه أنا عرفت هيها لو جيت على الواضح بدل
+
+284
+00:22:32,520 --> 00:22:38,860
+raw بدقول Q على أربعة over three by R square sorry
+
+285
+00:22:38,860 --> 00:22:44,220
+A cubic وبدل V in ايش بدي أحط؟ أربعة over three by
+
+286
+00:22:44,220 --> 00:22:50,220
+R cubic هجيت هذا وهذا بطير صح ولا لأ؟ إذا ال Q in
+
+287
+00:22:50,220 --> 00:22:56,110
+اللي بتدور عليها لجيتهابتسوي capital QR تكعيب على
+
+288
+00:22:56,110 --> 00:23:00,470
+A تكعيب طبعا ال QN بجلالة كل المعطيات بجلالة
+
+289
+00:23:00,470 --> 00:23:05,390
+capital Q معطى A the radius of the sphere معطى وR
+
+290
+00:23:05,390 --> 00:23:09,270
+بعد النقطة ما هو ما ايه ضد ال DA the close
+
+291
+00:23:09,270 --> 00:23:13,070
+integration E ضد ال DA equal QN على epsilon not ال
+
+292
+00:23:13,070 --> 00:23:16,430
+QN انعرفت ولا ما انعرفتش انعرفت E بطلحها برا ولا
+
+293
+00:23:16,430 --> 00:23:22,170
+بطلحاش برا طلحها اشتكمل ال DA ومجدش A بسويأربعة
+
+294
+00:23:22,170 --> 00:23:31,890
+عضاي R² صح ولا لأ فطلعش جوا خلاص اشتغل فيه R كيبك
+
+295
+00:23:31,890 --> 00:23:38,190
+و هنا فيه R² ايش بالضبط ال bus R طلعش جوا خلاص
+
+296
+00:23:38,190 --> 00:23:42,050
+just
+
+297
+00:23:42,050 --> 00:23:47,330
+to comment on the answer at the center of the
+
+298
+00:23:47,330 --> 00:23:52,780
+sphere what is the value of small rzero يعني ايه
+
+299
+00:23:52,780 --> 00:23:57,860
+جدش عند ال center؟ zero طب هذا منطقي بيقولي ايه هو
+
+300
+00:23:57,860 --> 00:24:02,500
+من السفر بس في المركز السفر ارجعكم للكرة الأرضية
+
+301
+00:24:02,500 --> 00:24:10,280
+جدش الجاذبية عند الكرة الأرضية في مركزها؟ ليش؟ لأ
+
+302
+00:24:10,280 --> 00:24:18,720
+هو المسافة السفر لأ طب R احكي
+
+303
+00:24:20,900 --> 00:24:25,220
+هي هيك .. هي هيك .. انا شرحتها في زيارة الشباب ..
+
+304
+00:24:25,220 --> 00:24:30,820
+اعيدها .. هاي الكواء المصمقة من جميع الجهات .. بدي
+
+305
+00:24:30,820 --> 00:24:34,600
+شدتي المجال عند النقطة هذه .. حاجات بتقدر تقولوا
+
+306
+00:24:34,600 --> 00:24:39,780
+ان هذه النقطة محاطة باعداد متساوية من الشحنات من
+
+307
+00:24:39,780 --> 00:24:45,360
+جميع الجهات .. بش في symmetry؟ طيب .. هذه النقطة
+
+308
+00:24:45,360 --> 00:24:47,300
+الصارة
+
+309
+00:24:49,030 --> 00:24:52,990
+أدلة سنتر هنا في أي مكان فيه شحنات لو كان هنا فيه
+
+310
+00:24:52,990 --> 00:24:55,830
+شحنة في جبالها ولا لا او جدول شدة المجال تبع
+
+311
+00:24:55,830 --> 00:25:03,470
+الشحنة هذه طب تبع حد اجمعهم Zero طب لو هنا فيه
+
+312
+00:25:03,470 --> 00:25:12,530
+شحنة و هنا فيه شحنة زيها هنا و هنا لغوا
+
+313
+00:25:12,530 --> 00:25:16,930
+بعض وبالتالي مبتقى ان يكون شدة المجال Zero لكن لو
+
+314
+00:25:16,930 --> 00:25:21,020
+كانت المطبع مش أدلة سنتر هنابقول هذا بيلاقي جزء
+
+315
+00:25:21,020 --> 00:25:25,320
+هذا بيلاقي جزء هذا أصل له قيمة صح ولا لأ؟ إذا
+
+316
+00:25:25,320 --> 00:25:27,420
+اندعونات وين؟ بيكون مقعد الـcenter لأنه فيه
+
+317
+00:25:27,420 --> 00:25:31,680
+symmetry وبالتالي the net electric field is zero
+
+318
+00:25:31,680 --> 00:25:36,140
+at the center لأن أنا بتعامل مع vectors إذا الشغفة
+
+319
+00:25:36,140 --> 00:25:38,740
+منطقية إنه at the center equal to zero مافيش أي
+
+320
+00:25:38,740 --> 00:25:46,630
+إشكالية كمان مثال الآن في المثالين السابقينمع
+
+321
+00:25:46,630 --> 00:25:50,770
+المثال الأول وهو ال pointy charge في التلت حالات
+
+322
+00:25:50,770 --> 00:25:54,930
+ال charge
+
+323
+00:25:54,930 --> 00:26:00,330
+distribution is spherical و ال spheres ينطبق عليها
+
+324
+00:26:00,330 --> 00:26:05,030
+قانون gauss بدي اشوف نوع اخر بيقول you find the
+
+325
+00:26:05,030 --> 00:26:08,990
+electric field E at a distance r from an infinite
+
+326
+00:26:08,990 --> 00:26:19,000
+line خط سطوانة رفيعةطيب الاستوانة يعني تبقى عليها
+
+327
+00:26:19,000 --> 00:26:23,720
+قانون جاهز بشرط تكون ايش infinite line خلاص حللي
+
+328
+00:26:23,720 --> 00:26:30,540
+المشكلة infinite line of charge of uniform density
+
+329
+00:26:30,540 --> 00:26:34,080
+لامده وقتك لامده جاهزة جالك لامده مابديش يديكي Q
+
+330
+00:26:34,080 --> 00:26:37,460
+طبعا مابديش يديكي Q عشان الطول مش معروف يا شباب
+
+331
+00:26:38,130 --> 00:26:41,190
+مشهورية طويلة جدا فجال أكلام ده و خلاص مديش ال ..
+
+332
+00:26:41,190 --> 00:26:45,510
+جيبلي جديش ال cue لإنه هذا طويل جدا هاي الخط هذا
+
+333
+00:26:45,510 --> 00:26:48,710
+كل المشحون شحنات موجة بشايفينه محطوط الزاعت عليه
+
+334
+00:26:48,710 --> 00:26:54,250
+طيب لو أجينا و بدوا شدت المجال عنده نقطة هذه اللي
+
+335
+00:26:54,250 --> 00:27:02,420
+تبعد مسافة Rالقانون الجوز ينطبق قانون الجوز لأننا
+
+336
+00:27:02,420 --> 00:27:07,760
+لدينا سليندر و سليندر كافية لذلك ينطبق القانون
+
+337
+00:27:07,760 --> 00:27:11,920
+الجوز.الدرجة الثانية هي الاختيار مصادر جوزية
+
+338
+00:27:13,250 --> 00:27:19,070
+الكورات تنفع؟ تنفعش جالي لازم سطح جاوس يكون بيشبه
+
+339
+00:27:19,070 --> 00:27:23,810
+الجسم المشحون الجسم المشحون أسطواني طب كيف بتختار
+
+340
+00:27:23,810 --> 00:27:28,630
+الأسطوانة؟ تختارها واقفة ولا نايمة ولا ميلة؟ جالي
+
+341
+00:27:28,630 --> 00:27:31,130
+هو حكال أسطوانة بيقول لازم يكون لها نفس ال
+
+342
+00:27:31,130 --> 00:27:34,590
+symmetry بيقول هذا ال line هذا ال line جزء من
+
+343
+00:27:34,590 --> 00:27:38,750
+أسطوانة أصلا طب تخيل هو جزء من أسطوانة الأسطوانة
+
+344
+00:27:38,750 --> 00:27:42,410
+العيلة تبعته اللي هي الأسطوانة كيف بيكون شكلها؟
+
+345
+00:27:43,250 --> 00:27:48,370
+واقفة ولا مش واقفة؟ اذا هاي عيلته هاي أصله تمام؟
+
+346
+00:27:48,370 --> 00:27:53,390
+اذا Gaussian surface as a Gaussian surface we
+
+347
+00:27:53,390 --> 00:27:58,230
+select a circular cylinder سلنته قائم أفريقيا's
+
+348
+00:27:58,230 --> 00:28:02,690
+are with high H and coaxial with the line charge
+
+349
+00:28:02,690 --> 00:28:08,570
+ومتحدة ال axis المحور معها عشان تظبط معاها هاي سطح
+
+350
+00:28:08,570 --> 00:28:18,230
+جاوس هذا هو سطح جاوستمام الان اخترت صح انا لازم
+
+351
+00:28:18,230 --> 00:28:24,430
+ايه تكون ثابتة و لو واحد يختار كرة ممنوع ينجح وإلا
+
+352
+00:28:24,430 --> 00:28:28,690
+بيكون كل واحد يختار سطح اللي بدويا صح ولا لا بداية
+
+353
+00:28:28,690 --> 00:28:33,470
+شباب فتقوا من هذا اتصوروا انتوا واحد يختار كرة
+
+354
+00:28:33,470 --> 00:28:37,890
+كانت حلوة وانا اتفويت عليها بدي اختار كرةسطح مغلق
+
+355
+00:28:37,890 --> 00:28:43,190
+سطح مغلق هل بقدر اتأكد انه he is constants on the
+
+356
+00:28:43,190 --> 00:28:47,250
+surface تصوروا انتوا ال line شباب هيك و الكورة
+
+357
+00:28:47,250 --> 00:28:51,950
+محوطة من جميع الجهات هل هذا الجلم هيكون يخترق
+
+358
+00:28:51,950 --> 00:28:54,870
+الكورة ولا مش هيخترقهاطبعا لما يكون هو ..
+
+359
+00:28:54,870 --> 00:28:58,690
+فهيخترقها يعني في نقطة جريدة عليه كتير ولا لا؟ وفي
+
+360
+00:28:58,690 --> 00:29:01,770
+نقطة هنا بعيدة عليه ولا مش بعيدة؟ هل E هنا و هنا
+
+361
+00:29:01,770 --> 00:29:05,270
+الواحد؟ اذا E is not constant on the surface so
+
+362
+00:29:05,270 --> 00:29:12,050
+the sphere cannot be a good Gaussian surface طيب
+
+363
+00:29:12,050 --> 00:29:14,130
+.. واحد بيقول انت بتضحك عليه انا طب ما هو هنا
+
+364
+00:29:14,130 --> 00:29:19,970
+اخترق القاعدة و لا ماخترقهاش؟ مش اخترقها؟ معناته
+
+365
+00:29:19,970 --> 00:29:21,070
+هنا
+
+366
+00:29:22,980 --> 00:29:26,320
+و هنا نقطتين مابيبعدوش على نفس المسافة طب كيف
+
+367
+00:29:26,320 --> 00:29:31,580
+نحلها؟ خلنا نشوف هناك قلتلي لأ؟ طب هنا ليش؟ انت
+
+368
+00:29:31,580 --> 00:29:33,680
+بصحيلك و انا بصحي ليش؟ احكي
+
+369
+00:29:39,740 --> 00:29:43,760
+مافيش عصر التكامل كله هيروح موضوع كلامك بتحل
+
+370
+00:29:43,760 --> 00:29:48,440
+المشكلة يعني بيبقى عن أخر الكورة كام سطح لها واحد
+
+371
+00:29:48,440 --> 00:29:52,340
+لما كنت أتعامل و أحط التكامل و أبدأ أشتغل لما جيبت
+
+372
+00:29:52,340 --> 00:29:57,340
+الفكس للمكعب، ذاكرينه؟ التكامل كام تكامل صار؟ ستة
+
+373
+00:29:57,340 --> 00:30:00,700
+هنا الصوانة كام سطح لها تلاتة إذا التكامل كام
+
+374
+00:30:00,700 --> 00:30:04,380
+تكامل بيصير و بيصير اتعامل مع كل تكامل على حدة
+
+375
+00:30:04,380 --> 00:30:09,500
+بطلت أتعامل مع تكامل واحدهذه الاتفاق وقعدش وخلصتها
+
+376
+00:30:09,500 --> 00:30:13,020
+هاي خطوط المجال زي ما هو حكى لي مظبوط ولا لأ طب
+
+377
+00:30:13,020 --> 00:30:18,700
+هاي خطوط مجال كتيرة وفي عندي هم صحيحة ولا لأ تمام
+
+378
+00:30:18,700 --> 00:30:25,040
+في ملاحظة لازم نعرفها أنا سطح جاس رسمته صغير ايه
+
+379
+00:30:25,040 --> 00:30:29,340
+ده متشافى ليه بعيد طلاب ما انتوا عارفين طالب كريم
+
+380
+00:30:29,340 --> 00:30:32,280
+ولا كده يقولوا دكتور مابيخلوا يحطوا اللي سطح جاس
+
+381
+00:30:32,280 --> 00:30:36,300
+صغير بيجي عصارز زي هذا بيقول هو يعني قضبنا حرم
+
+382
+00:30:36,300 --> 00:30:42,200
+اللي نعمل غيكروح مختلفة تحكي اقوسيك شوف
+
+383
+00:30:42,200 --> 00:30:49,720
+هنا في مشكلة كبيرة هو انا مش طارد ال line تكون
+
+384
+00:30:49,720 --> 00:30:54,540
+infinite ليش؟ عشان ابعد عن ايش؟ عشان ابعد عن
+
+385
+00:30:54,540 --> 00:30:57,770
+الأطراف و انت ليش لاحقهم؟إذا انحجت الأطراف مش
+
+386
+00:30:57,770 --> 00:31:01,150
+هتعرف تشتغل صح قد يحفر ديكم هتكون في مشكلة كبيرة
+
+387
+00:31:01,150 --> 00:31:04,250
+عندك وبالتالي أول أنا ما أشوف صوت حجاز هيك بقول
+
+388
+00:31:04,250 --> 00:31:08,150
+هذا باصم لإنه هطلع إيه برا التكامل و هي إيه مش برا
+
+389
+00:31:08,150 --> 00:31:13,290
+التكامل مش ثابتة حال غلط وبالتالي احنا لو وقت
+
+390
+00:31:13,290 --> 00:31:15,870
+صحيلي أزغر أكتر من كده كنت أزغرته بس عشان أكون
+
+391
+00:31:15,870 --> 00:31:20,170
+واضحة في الشريعة ممنفعش ألحج الأطراف شباب الأطراف
+
+392
+00:31:20,170 --> 00:31:23,490
+عاملة مشكلة واحنا حكينا أن الأطراف is not uniform
+
+393
+00:31:23,490 --> 00:31:29,500
+وبالتالي بعيد عنهاسطح جاس مش مفروض يكون جريب على
+
+394
+00:31:29,500 --> 00:31:34,320
+الأطراف تمام؟ إذا أنا سطح جاس اختارته طبعا خطوط
+
+395
+00:31:34,320 --> 00:31:40,560
+المجال اللي أنا رسمتها شباب يظهر في خط هيك ولا لأ؟
+
+396
+00:31:40,560 --> 00:31:43,500
+وفي خط رايحيك وفي خط كله يعني استوانة طبعا لدي
+
+397
+00:31:43,500 --> 00:31:46,900
+خطوط طبعا واضح إنه ما زال أنا بعيد عن الأطراف فهي
+
+398
+00:31:46,900 --> 00:31:49,780
+parallel lines يعني uniform electric field مافيش
+
+399
+00:31:49,780 --> 00:31:56,300
+إشكالية الآن بيقولليبسبب أن السليندر لديه ثلاث
+
+400
+00:31:56,300 --> 00:32:02,080
+مصادر التكامل التكامل كان تكامل التكامل في جوزيزلو
+
+401
+00:32:02,080 --> 00:32:03,940
+يجب أن يكون مقاطعًا في ثلاث أجزاء التكامل التكامل
+
+402
+00:32:03,940 --> 00:32:03,940
+في جوزيزلو يجب أن يكون مقاطعًا في ثلاث أجزاء
+
+403
+00:32:03,940 --> 00:32:08,160
+التكامل التكامل في ثلاث أجزاء التكامل التكامل
+
+404
+00:32:08,160 --> 00:32:18,880
+التكامل التكامل التكامل التكامل التكامل
+
+405
+00:32:18,880 --> 00:32:22,220
+التكامل التكامل التكامل التكامل التكامل التكامل
+
+406
+00:32:22,220 --> 00:32:22,220
+التكامل التكامل التكامل التكامل التكامل التكامل
+
+407
+00:32:22,220 --> 00:32:22,320
+التكامل التكامل التكامل التكامل التكامل التكامل
+
+408
+00:32:22,320 --> 00:32:23,760
+التكامل
+
+409
+00:32:26,260 --> 00:32:30,160
+تمام؟ واحدة واحدة ليه ييجي واحد واحد؟ طيب انتوا
+
+410
+00:32:30,160 --> 00:32:34,240
+ملاحظين ان هنا إشارة اللي أغلق روحت لأن كل واحدة
+
+411
+00:32:34,240 --> 00:32:39,480
+مغلقة؟ لأ اما كله مع بعض مغلق لكن ال base لحالها
+
+412
+00:32:39,480 --> 00:32:44,180
+disk مش مغلقة ال base التحتانية disk اللي ملوم هو
+
+413
+00:32:44,180 --> 00:32:49,600
+مفتوح من فوق ومن تحت ولا لأ؟ اذا هنا we don't have
+
+414
+00:32:49,600 --> 00:32:54,340
+the closed circle تمام؟ واحدة واحدةنتطلع على الباس
+
+415
+00:32:54,340 --> 00:33:00,080
+الفجانية تطلعوا عليها شباب هذا هي كيف ال A تبعتها؟
+
+416
+00:33:00,080 --> 00:33:05,360
+مش لازم تكون عمودية ولا أعلى برا إذا لا فوق هي A
+
+417
+00:33:05,360 --> 00:33:11,240
+جديش الزاوية بين A و E تسعين و جديش كصينة تسعين
+
+418
+00:33:11,240 --> 00:33:17,660
+إذا أول تكامل روح إذا المشكلة اللي إنت كانت عندك
+
+419
+00:33:17,660 --> 00:33:23,390
+بالقرة هنا موجودة بس ريحتني منها productواضح يا
+
+420
+00:33:23,390 --> 00:33:27,950
+شباب؟ حتى لو E مش ثابتة، بلزم كاش اطلع E برا، وانا
+
+421
+00:33:27,950 --> 00:33:31,210
+ليش بدي اطلع E برا؟ مش عشان ان انا أكامل؟ طب لما
+
+422
+00:33:31,210 --> 00:33:36,150
+اتكامل هو سقوب طوح، يعطيه العافية، E برق، جولة
+
+423
+00:33:36,150 --> 00:33:41,890
+جوا، it doesn't mean anything، روحت، تفهم يا شباب؟
+
+424
+00:33:41,890 --> 00:33:46,250
+إذا مافيش عندي ملكي لا، constant ولا مش constant،
+
+425
+00:33:46,250 --> 00:33:51,570
+تفرقش معاهطبعا شباب طب عادى كيف ايه تبعتها لأسفل
+
+426
+00:33:51,570 --> 00:33:55,010
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+427
+00:33:55,010 --> 00:33:55,130
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+428
+00:33:55,130 --> 00:33:55,290
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+429
+00:33:55,290 --> 00:33:59,530
+لأسفل لأسفل لأسفل
+
+430
+00:33:59,530 --> 00:34:04,410
+لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل لأسفل
+
+431
+00:34:04,410 --> 00:34:10,230
+لأسفل لأسفل لأسفل لأسفل
+
+432
+00:34:10,230 --> 00:34:17,710
+لأسحلو هاي اللي بدي انا فى حد انه ماشي بيقول انا
+
+433
+00:34:17,710 --> 00:34:22,210
+جربت او ابعدت عن ال line لأ لإنه انا صرت محاطق
+
+434
+00:34:22,210 --> 00:34:26,350
+تحوير زى جوائر هى ومش جائرة هو عبارة عن رنجات فى
+
+435
+00:34:26,350 --> 00:34:29,630
+البعد وبالتالي و انا مروح انا انا نفسي طب كيف بدي
+
+436
+00:34:29,630 --> 00:34:36,720
+اجيب ال aهذا كيف ايه تبعته؟ مش هذا curved و أي سطح
+
+437
+00:34:36,720 --> 00:34:41,220
+جيه curved ايه بتكون مع أنصاف الأقطار مش هيك
+
+438
+00:34:41,220 --> 00:34:44,600
+اتفقنا أنصاف الأقطار هيه هيه هيه هيه هيه هيه هيه
+
+439
+00:34:44,600 --> 00:34:44,840
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+440
+00:34:44,840 --> 00:34:44,840
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+441
+00:34:44,840 --> 00:34:45,180
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+442
+00:34:45,180 --> 00:34:45,340
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+443
+00:34:45,340 --> 00:34:45,560
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+444
+00:34:45,560 --> 00:34:45,560
+هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه هيه
+
+445
+00:34:45,560 --> 00:34:45,720
+هيه هيه هيه هيه هيه هيه هيه هيه
+
+446
+00:34:52,900 --> 00:35:00,140
+هنا هذا E is outside the integration because it is
+
+447
+00:35:00,140 --> 00:35:04,440
+constant the dot product is eliminated because E
+
+448
+00:35:04,440 --> 00:35:09,860
+and DA are parallel وتكامل ال DA ايه؟ ايه تبقى
+
+449
+00:35:09,860 --> 00:35:15,620
+عميل هذا؟ تبقى ال cared surface المساحة الجانبية
+
+450
+00:35:15,620 --> 00:35:22,590
+للقصوانة جديشمحيط القاعدة في الارتفاع
+
+451
+00:35:22,590 --> 00:35:27,250
+بقول from the symmetry of the system الكلام اللي
+
+452
+00:35:27,250 --> 00:35:35,420
+حكيته كاتبه بس E is parallel to both basesموازي ال
+
+453
+00:35:35,420 --> 00:35:39,040
+ال bases يعني عمودي على ال area تبعتهم furthermore
+
+454
+00:35:39,040 --> 00:35:44,660
+it has a constant magnitude and directed radially
+
+455
+00:35:44,660 --> 00:35:48,580
+outward at every point on the curved surface of
+
+456
+00:35:48,580 --> 00:35:55,020
+the cylinder واضح موازي ال ال bases بيكون ثابت على
+
+457
+00:35:55,020 --> 00:35:59,240
+ال curved و radially يعني موازي ال دي ايه تبعت ال
+
+458
+00:35:59,240 --> 00:36:05,130
+curve basis تمامهجيت اتش هذه مش انا اللي اختارتها
+
+459
+00:36:05,130 --> 00:36:09,110
+لو انت جيت اختارت واحدة تانية نفس الاتش هتختار؟
+
+460
+00:36:09,110 --> 00:36:13,030
+لأ، اذا المفروض في جواب ما تبينش يا بالكم صح ولا
+
+461
+00:36:13,030 --> 00:36:18,290
+لأ؟ وإلا عشان نقولك طالب اللي بدي أخد ال service
+
+462
+00:36:18,290 --> 00:36:22,170
+كبير يقولك انت بتطلع جوابي أكبر، بأخد علامات أكبر،
+
+463
+00:36:22,170 --> 00:36:26,330
+لأ مش هتبين اتشمش هتبين انت وجعت في المشكلة لكن
+
+464
+00:36:26,330 --> 00:36:30,710
+جوابك مش هيتغير يعني الـH اللي كبرتها مش هتستفيد
+
+465
+00:36:30,710 --> 00:36:36,130
+منها بس من جوابك وجعت حالك فيه مشكلة تم اي في اي
+
+466
+00:36:36,130 --> 00:36:41,290
+مش اتفقنا هيك اي محيط القاعدة في الارتفاع to buy R
+
+467
+00:36:41,290 --> 00:36:45,070
+في H بس هو Q in على epsilon اضطرر عليها مشكلة Q in
+
+468
+00:36:45,070 --> 00:36:53,630
+هل كلها بدياها؟ هل هذه الشحنات اللي هم بدياها؟هدول
+
+469
+00:36:53,630 --> 00:36:59,370
+outside و هدول ايش بدي بس هدول صح ولا لأ طب جزء من
+
+470
+00:36:59,370 --> 00:37:03,870
+كل ولا لأ و انا كل بدي جزء من كل و لما كل بدي جزء
+
+471
+00:37:03,870 --> 00:37:07,330
+من كل بدي اروح لمين ل recharge in cities المرة دي
+
+472
+00:37:07,330 --> 00:37:12,990
+اروحنا هو المرة دي اروح لمين لأ لأ حتي خلصنا منها
+
+473
+00:37:13,490 --> 00:37:17,350
+تمام الان الـ total charge .. charge inside the
+
+474
+00:37:17,350 --> 00:37:20,950
+Gaussian surface is only the charge of the part
+
+475
+00:37:20,950 --> 00:37:24,810
+inside the surface اي شحنات بدك بقولي بس بدي هدول
+
+476
+00:37:24,810 --> 00:37:31,430
+بس هدول انا هاي اللي لازمين ليه الباقي بديهم لأ طب
+
+477
+00:37:31,430 --> 00:37:35,370
+هدول ايه اللي بدي اسويهم نرجع باب وضعفة جزر بدي
+
+478
+00:37:35,370 --> 00:37:38,450
+lambda في كل السلك ولا بس في الطول اللي جوا طب
+
+479
+00:37:38,450 --> 00:37:40,190
+الطول اللي جوا قداش اتش
+
+480
+00:37:42,750 --> 00:37:48,550
+متابعين شباب؟ إذا المعناته Qn بتساوي Lambda في H
+
+481
+00:37:48,550 --> 00:37:53,290
+مش Lambda في كل السلك و Lambda معطل مرة هذه مابتدش
+
+482
+00:37:53,290 --> 00:37:56,510
+يعني يغيرها لأنه من ضمن المعطيات خلي جوابك بدلالة
+
+483
+00:37:56,510 --> 00:38:01,710
+Lambda Now we are كل جهز و هذه جهزة هنا بدي أحط
+
+484
+00:38:01,710 --> 00:38:08,050
+شباب Lambda بH إيه صار في H؟ إهرقوا إذا انبطلت
+
+485
+00:38:08,050 --> 00:38:12,530
+تبين Hوبالتالي إيه جوابي وجوابك حتى لو كان Gauss
+
+486
+00:38:12,530 --> 00:38:16,990
+surface زغرطه أكتر مني هيطلع نفسي جواب صح أو لأ تم
+
+487
+00:38:16,990 --> 00:38:23,070
+هيأتش إذا E بيسوى Lambda على 2 Pi R over Epsilon
+
+488
+00:38:23,070 --> 00:38:27,670
+Note هاي الجواب طبعا ليش كاتب هنا اللي طبعا حكيته
+
+489
+00:38:27,670 --> 00:38:33,460
+ماحد يتقارن ويحط صدح Gauss كبيربيقول لي not that
+
+490
+00:38:33,460 --> 00:38:37,620
+if the wire is not too long او سطح جوز اللي حبته
+
+491
+00:38:37,620 --> 00:38:42,780
+انت اما السلك مش طويل بحيث ان الأطراف تكون ايش if
+
+492
+00:38:42,780 --> 00:38:45,780
+the wire is not too long بيقولي انت ليش مش شرط
+
+493
+00:38:45,780 --> 00:38:49,840
+عليها تكون infinite بيقوللي it's in ده في هذه
+
+494
+00:38:49,840 --> 00:38:53,540
+الحالة أطرافها will be closed to any Gaussian
+
+495
+00:38:53,540 --> 00:38:58,760
+surface في هذه الحالةهنا المجال مش هيكون هيك شباب
+
+496
+00:38:58,760 --> 00:39:04,260
+هيكون هيك صح ولا لأ هل في هذه الحالة ايه بيعمل زي
+
+497
+00:39:04,260 --> 00:39:09,720
+90 مع ال base لا إذا كل إيش اتغير عندك its end
+
+498
+00:39:09,720 --> 00:39:12,700
+will be close to any Gaussian surface هيصير
+
+499
+00:39:12,700 --> 00:39:16,340
+الأطراف جريبة على ال Gaussian surfaces على التلاتة
+
+500
+00:39:16,340 --> 00:39:21,960
+على ال bases بالذاتبما أن المجال الهيكليكي اعلى أو
+
+501
+00:39:21,960 --> 00:39:26,180
+قريب من النهاية ليس مرتزم بما أن شدة المجال عند
+
+502
+00:39:26,180 --> 00:39:30,260
+الأطراف أو جانب من الأطراف لاتكون منتظمه لن يكون
+
+503
+00:39:30,260 --> 00:39:35,040
+ممكن أن تتكامل الانتجرال لأن الانتجرال لاتتطلع إيه
+
+504
+00:39:35,040 --> 00:39:38,840
+برا تكامل صح ولا لأ وبالتالي التكامل وقفت عنده بدك
+
+505
+00:39:38,840 --> 00:39:42,740
+علاقة وانت مطلوب منك تجيب إيه كيف بدي أجيب علاقة
+
+506
+00:39:42,740 --> 00:39:49,190
+بحط التكاملE ضف في الـDA Base زي دي التانية زي دي
+
+507
+00:39:49,190 --> 00:39:53,470
+تالتة وماقف ماقدرش أعمل أي خطوة بعد كده لأنه في
+
+508
+00:39:53,470 --> 00:39:57,700
+هذه الحالة لو كان قصير فقدر تطلع حد براأو تقول إن
+
+509
+00:39:57,700 --> 00:40:03,420
+الزاوية تسعين برضه لأ إذا شغله كله بيجعى إذا
+
+510
+00:40:03,420 --> 00:40:07,000
+شايفين إنه لو ماكنش طويل وين بنجعى بنجعى فيه أكتر
+
+511
+00:40:07,000 --> 00:40:10,860
+من شغلة عشان كده بنشترط احنا من أول إن ال line
+
+512
+00:40:10,860 --> 00:40:16,200
+must be infinite for E to be uniform وإلا بصير
+
+513
+00:40:16,200 --> 00:40:19,240
+جاوس بصير فسبحله بطريقة تانية بحله بس بطريقة مش
+
+514
+00:40:19,240 --> 00:40:23,100
+طريقة جاوس فطريقة الجاوس ماقدرش أشتغل في أي
+
+515
+00:40:23,100 --> 00:40:28,640
+استفسار شباب؟طب على هذا كيف ممكن أحله بطريقة
+
+516
+00:40:28,640 --> 00:40:32,100
+الشطرة اللي موجودة؟ في سؤال في الكتاب بس أنا متأكد
+
+517
+00:40:32,100 --> 00:40:35,640
+أنه لسه محلتهوش انتوا كيف تجيبوه؟ هذا سهل بجيبه
+
+518
+00:40:35,640 --> 00:40:41,000
+أنا المرة هذه جيبت line زي هيك و جيبته نقطة هنا و
+
+519
+00:40:41,000 --> 00:40:46,240
+حلته كمثال صح؟ المرة هذه خلّي النقطة هنا حله
+
+520
+00:40:46,240 --> 00:40:51,360
+بالمناقش بحله و قاللي هذه إيه الشباب؟ في آخر حالة
+
+521
+00:40:51,360 --> 00:40:55,380
+الجواب بقولك let ال go through ملا نهايةمش بصير
+
+522
+00:40:55,380 --> 00:40:58,540
+طويل كتير لما الـgoes from النهاية لازم يطلع
+
+523
+00:40:58,540 --> 00:41:03,760
+الجواب هذا فبنحلط طبعا بنحلط بصفحتين يمكن طبعا أما
+
+524
+00:41:03,760 --> 00:41:09,820
+بجوزله لو راحت سريع بحلله بسطرية بس كاتبلك تحت let
+
+525
+00:41:09,820 --> 00:41:15,720
+ال go from ال نهاية يمكن هو
+
+526
+00:41:15,720 --> 00:41:22,930
+انت صعوبة السؤال من طوله لأ طوله بدواجتصح ولا لأ؟
+
+527
+00:41:22,930 --> 00:41:27,910
+يعني لو واحد قال لك اكتب جدول الدرب من واحد لمية
+
+528
+00:41:27,910 --> 00:41:32,450
+يبقى دي مصعبه؟ لأ بس يبقى دي مطوله صح ولا لأ؟ اذا
+
+529
+00:41:32,450 --> 00:41:35,770
+طول السؤال مش هو اللي بحدد الصعوبة طبعا في نهاية
+
+530
+00:41:35,770 --> 00:41:38,830
+الوقت بلعب دور ان هو كيف يجيب لك اياه بديه اجري
+
+531
+00:41:38,830 --> 00:41:42,290
+كله بيقوله صح او عفيا بحل السؤال صح ولا لأ؟ اذا مش
+
+532
+00:41:42,290 --> 00:41:45,610
+طول السؤال اللي بحدد صعوبة او سهولة السؤال في عيسف
+
+533
+00:41:45,610 --> 00:41:49,280
+صار شبابهذه الـ Gauss's law حلناها على الـ
+
+534
+00:41:49,280 --> 00:41:52,820
+spherical shapes وحلناها على ال cylindrical shapes
+
+535
+00:41:52,820 --> 00:41:55,680
+الـ cylindrical shape كان شرطه أن يكون طويل
+
+536
+00:41:55,680 --> 00:42:00,040
+واتفقنا إن عدم أن يكون طويل جدا مش بيعمل ليه مشاكل
+
+537
+00:42:00,040 --> 00:42:04,660
+ايه مافيه لهم واحنا قاعدين نشتغل وجينا وين بجف بجف
+
+538
+00:42:04,660 --> 00:42:07,860
+التكاملات وانا هاي المشكلة أن التكاملات ماقدرش
+
+539
+00:42:07,860 --> 00:42:12,200
+أحلها فبالتالي لو كان السلك قصير أو Gauss's
+
+540
+00:42:12,200 --> 00:42:18,390
+surface راح على الأطراف معناته انتاجية بمشكلةكمان
+
+541
+00:42:18,390 --> 00:42:21,350
+مثال دلوقتي عندي شكل واحد ال planes صح ولا لأ
+
+542
+00:42:21,350 --> 00:42:25,670
+بيقول you find the electric field E due to a non
+
+543
+00:42:25,670 --> 00:42:30,950
+-conducting infinity plane infinity plane plane و
+
+544
+00:42:30,950 --> 00:42:35,010
+infinity يعني كبير جدا اللي بدك إيه with uniform
+
+545
+00:42:35,010 --> 00:42:39,930
+surface اتشار الجنسة sigma والاتشار الجنسة مُعطية
+
+546
+00:42:39,930 --> 00:42:46,520
+إليك إنها sigmaو بلين و اشتغلنا على هذا الأساس و
+
+547
+00:42:46,520 --> 00:42:51,420
+هاي البلين واقف وقف جيبت ورقة non conducting يعني
+
+548
+00:42:51,420 --> 00:42:55,840
+من الورق ورقة الورق ال conductor لأ مشحون عطيت
+
+549
+00:42:55,840 --> 00:42:58,620
+عليها شحنات و المكان طبعا الورقة شباب لما تكون
+
+550
+00:42:58,620 --> 00:43:01,220
+conductor و انا شاحنها بيكون ع الشجة دي فيه شحنات
+
+551
+00:43:01,220 --> 00:43:04,280
+وع الشجة دي فيه شحنات وإن ما حطيت إيدك في ورق فيه
+
+552
+00:43:04,280 --> 00:43:07,960
+شحنات تمام؟ وبالتالي عايزين كده احطلك ال conductor
+
+553
+00:43:07,960 --> 00:43:10,480
+إيه الخاصية بنحكي عنها و بعدين تمام؟
+
+554
+00:43:12,830 --> 00:43:16,790
+طب والله أنا صنع خطوط المجال مش هيك حاجات انت لما
+
+555
+00:43:16,790 --> 00:43:20,370
+في عندي ورقة مشهونة شباب هي مجال و هي مجال و هي
+
+556
+00:43:20,370 --> 00:43:23,670
+مجال و من هنا مجالات طبعا عندي الأطراف عاملة مشكلة
+
+557
+00:43:23,670 --> 00:43:26,890
+أنا الأطراف مش شايفها لكن ها يعني زي ما بيقول
+
+558
+00:43:26,890 --> 00:43:29,470
+اللوح هذا كله مشهون بيقول هي خط جاي من هنا و خط
+
+559
+00:43:29,470 --> 00:43:32,930
+رايح هيك جنبه خط من هنا و خط رايح هيك و هكذا هي
+
+560
+00:43:32,930 --> 00:43:40,690
+خطوط المجالالأول خطوة يجب أن نختار إذا كان ممكن
+
+561
+00:43:40,690 --> 00:43:45,290
+تجارب الجوزيان أو لا، إنه ممكن تجاربه لأن الوضع
+
+562
+00:43:45,290 --> 00:43:51,350
+الوضع هو بلين وإنفينتي بلين والثانوية خطوة أخرى
+
+563
+00:43:51,350 --> 00:43:58,290
+يجب أن نختار جوزيان جوزيان يجب أن يكون من نفس جنس
+
+564
+00:43:58,840 --> 00:44:01,400
+الجسم المشحون طبعا انتوا واضعوا عينكم الجسم
+
+565
+00:44:01,400 --> 00:44:05,380
+المشحون ال plane ال plane مش surface يعني مش close
+
+566
+00:44:05,380 --> 00:44:09,820
+surface نرجع زي ال cylinder هل هذا ال plane مقطوع
+
+567
+00:44:09,820 --> 00:44:15,240
+من شجرة مش مقطوع من شجرة ما هو جاي حط لو حطينا عشر
+
+568
+00:44:16,510 --> 00:44:20,190
+blends جنب بعض بيطلع عندي متوازن مستطيلات ولا لأ؟
+
+569
+00:44:20,190 --> 00:44:22,850
+بيطلع عندي متوازن مستطيلات متوازن مستطيلات في سطح
+
+570
+00:44:22,850 --> 00:44:26,230
+مغلق او في سطح مغلق اذا هي السطح المغلق تبعك طب
+
+571
+00:44:26,230 --> 00:44:29,430
+انت ليش اختارت مستطيل لانه انت راسمليه مستطيل انا
+
+572
+00:44:29,430 --> 00:44:32,190
+مش راسم مستطيل انت شايف أبعاده انت بتقوللي
+
+573
+00:44:32,190 --> 00:44:37,370
+infinite ده يقولك هذا disk تقوللي امي disk في
+
+574
+00:44:37,370 --> 00:44:43,050
+مشكلة حط عشرة disks جنب بعض ليش تطلعصور هذا ال
+
+575
+00:44:43,050 --> 00:44:45,290
+disk و بدي أحط عشرة disks جانب بعضي الصوانة بتكون
+
+576
+00:44:45,290 --> 00:44:50,470
+قائمة ولا نايمة اذا هي الصوانة عشان تكون من نفس
+
+577
+00:44:50,470 --> 00:44:54,390
+الشكل شوف المرة دي كانت الصوانة كيف فوق لأنه كانت
+
+578
+00:44:54,390 --> 00:44:57,310
+العيلة تبعته هيك المرة هذه العيلة تبعتها نايمة
+
+579
+00:44:57,310 --> 00:45:01,780
+فبتكون الصوانة بهذا الشكلطب قاعد بيقولي طب انت لو
+
+580
+00:45:01,780 --> 00:45:04,620
+عملت متوازن مستطيلات بيطلع معاك نفس الجواب بقوله
+
+581
+00:45:04,620 --> 00:45:07,840
+بطلع بس اتصنى شوية ليش انا شارد من متوازن مستطيلات
+
+582
+00:45:07,840 --> 00:45:11,980
+بس عشان هناك ست اوجه و هنا تلت اوجه و بما انه انت
+
+583
+00:45:11,980 --> 00:45:17,540
+مش مجيني اي شرط انه الحدود شايفها فبالتالي بقدر
+
+584
+00:45:17,540 --> 00:45:24,820
+ادعي ان ال plane is a disk not a plane او square
+
+585
+00:45:24,820 --> 00:45:31,110
+او triangle احكي الدارة بتختلف عن الشاشةمش مشكلة
+
+586
+00:45:31,110 --> 00:45:34,850
+الدائروان بتختلف عند الأطراف انت الأطراف شايفها؟
+
+587
+00:45:34,850 --> 00:45:38,770
+انت بقى عادع اذا طول عندك مشكلة طبعا الشكل اللي
+
+588
+00:45:38,770 --> 00:45:43,450
+شايفها بيشكل لكن هو دي اللي باعي تمام solution to
+
+589
+00:45:43,450 --> 00:45:48,090
+solve this problem we select a Gaussian surface as
+
+590
+00:45:48,090 --> 00:45:52,410
+a Gaussian surface a small cylinder whose axis is
+
+591
+00:45:52,410 --> 00:45:58,030
+perpendicular to the plane and whose ends each has
+
+592
+00:45:58,030 --> 00:46:00,050
+an area a أيه السيلندر تبعتي؟
+
+593
+00:46:03,680 --> 00:46:08,080
+كملت كملت فده هي .. هى سطح جاوس احنا جولنا نايمة
+
+594
+00:46:08,080 --> 00:46:11,320
+واحد بيقولي متوازن مساطلات بتقوله بتحلها انا مابي
+
+595
+00:46:11,320 --> 00:46:14,540
+أقول عن متوازن مساطلات بس شوية شوية فالأول نشتغل
+
+596
+00:46:14,540 --> 00:46:17,400
+على ال cylinder اللى هى فيه faces فى مشكلة فى سطح
+
+597
+00:46:17,400 --> 00:46:23,120
+جاوس يا شباب سؤالى الان كل الورقة جوا سطح جاوس
+
+598
+00:46:23,120 --> 00:46:26,240
+جديش
+
+599
+00:46:26,240 --> 00:46:31,700
+المساحة من الورقة اللى جواالمساحة اللى مين ورقة
+
+600
+00:46:31,700 --> 00:46:37,900
+جوا مساحة القاعدة يعني قداش qn بتساوي sigma في
+
+601
+00:46:37,900 --> 00:46:42,400
+مساحة القاعدة اذا قداش qn عرفتها انا بدي جزء من
+
+602
+00:46:42,400 --> 00:46:46,500
+الشحنات انا بدي qn جزء من الشحنات يعني لو كانت
+
+603
+00:46:46,500 --> 00:46:49,500
+عندكم ورقة واعتبرته هذا سطح جاوس الشباب اعتبرته
+
+604
+00:46:49,500 --> 00:46:55,040
+خطاية جلم حبر هى سطح جاوس عندكم ورقة بتعمل سطح
+
+605
+00:46:55,040 --> 00:46:58,380
+جاوس بتجيبوا الجلم بتقولكم تعملوا فيه هيكلة ميظهر
+
+606
+00:46:58,380 --> 00:47:02,420
+من الشجرة التانيةأيش بيكون أخد جوا؟ جزء من الورقة
+
+607
+00:47:02,420 --> 00:47:06,420
+و لا لا؟ الجزء من الورقة هذا مشحون، جديش مساحته؟
+
+608
+00:47:06,420 --> 00:47:11,100
+نفس مساحة قاعدة الجلام و لا لا؟ هيكيو ان، هيكيو
+
+609
+00:47:11,100 --> 00:47:16,220
+ان، واحدة واحدة هجيت بقول هذا جاز ال surface اللي
+
+610
+00:47:16,220 --> 00:47:19,580
+هو السوانة as we do in the previous example
+
+611
+00:47:19,580 --> 00:47:24,000
+السوانة كان سطح لها التكامل كم تكامل بيصير؟ تلات
+
+612
+00:47:24,000 --> 00:47:29,550
+تكاملاتباس كرت بس هجيت القواعد علوية وصفرية ولا
+
+613
+00:47:29,550 --> 00:47:33,770
+يمين وشمال؟ يمين وشمال؟ واحدة واحدة واحدة واحدة
+
+614
+00:47:33,770 --> 00:47:36,850
+شايفينها خطوط المجال الخضراء؟ هاي خطوط المجال بدي
+
+615
+00:47:36,850 --> 00:47:42,930
+اجيدي ايه؟ هاي هادي كيف ايه تبعتها؟ برا عليكم هاي
+
+616
+00:47:42,930 --> 00:47:50,430
+الصمرة شايفتوها؟ تمام طب و هادي؟ اه طبعا هنا انا
+
+617
+00:47:50,430 --> 00:47:53,980
+حاضر هنا المعناته هادي من السفر ولا لا؟الـ dot
+
+618
+00:47:53,980 --> 00:47:57,840
+product راحت قصان السفر كده؟ واحد و E برا طلعت
+
+619
+00:47:57,840 --> 00:48:02,640
+ثابتة تمام طبعا انتوا لما تاخدوا هى الورقة اشتغلنا
+
+620
+00:48:02,640 --> 00:48:07,740
+شىه ما تستعجلش هى الورقة و هى ال plane او هى ال
+
+621
+00:48:07,740 --> 00:48:12,200
+base طول ما أنا ماشي بكون مش مبعد اذا E is
+
+622
+00:48:12,200 --> 00:48:16,700
+constant خلصنا منها طلعناها برا طب و هى دى مين
+
+623
+00:48:16,700 --> 00:48:19,520
+اللي قال بيبقى تغيب عاد؟ مين توجه حاجات تغيب عاد؟
+
+624
+00:48:20,070 --> 00:48:23,290
+كيف دي ايه تبعتها؟ صرا عكس كانت تجاه دي حلو بس إيش
+
+625
+00:48:23,290 --> 00:48:26,370
+هي و اللي أخضر مع بعض ولا عكس بعض؟ مع بعض مع بعض
+
+626
+00:48:26,370 --> 00:48:31,110
+جديد الزاوية؟ سفر برضه زي هديك سفر؟ طيب بس مش
+
+627
+00:48:31,110 --> 00:48:35,850
+تجاهها ده غير عن تجاه هديك هي خط المجال هديك نفس
+
+628
+00:48:35,850 --> 00:48:42,990
+اللي بيخترقها ديك؟ لأ أنا بدور على الزاوية زاوية
+
+629
+00:48:42,990 --> 00:48:46,350
+سفر في الحالتين ولا لأ؟ طلع معاك سالب عشان يلغوا
+
+630
+00:48:46,350 --> 00:48:47,890
+بعض؟ لأ ماطلعش
+
+631
+00:48:53,380 --> 00:49:00,120
+خط لك ورقة معايا انا ورقة؟ خلّي خلّي شباب هذه
+
+632
+00:49:00,120 --> 00:49:06,900
+الورقة هذه الخط هذا من أين بيبدأ؟ بيبدأ من هنا هل
+
+633
+00:49:06,900 --> 00:49:10,880
+الخط اللي بقى عليكم لو فيه عندنا سطح بيجرب عليه؟
+
+634
+00:49:10,880 --> 00:49:14,440
+بيخترقه؟ بالتالي لما تجيب انت لف ركز على هذا السطح
+
+635
+00:49:14,440 --> 00:49:18,220
+قلك ده او بالقطوط اللي هنا؟ لا الخط اللي هنا كيف
+
+636
+00:49:18,220 --> 00:49:25,980
+يخترقه؟ هيك والا إيه؟ هيك هل جت لجينا ..هذا الخط
+
+637
+00:49:25,980 --> 00:49:29,880
+هو نفسه مختلقه .. خط تاني .. كده تجاهه .. عليا ..
+
+638
+00:49:29,880 --> 00:49:34,300
+و ال area عليا .. بالتالي مافيش معاكسة .. لأن هذا
+
+639
+00:49:34,300 --> 00:49:40,640
+خط و هذا خط ..الخط اللى اولانى مخترقش ال base
+
+640
+00:49:40,640 --> 00:49:45,780
+التانية مالوش جاعة فيها وبالتالي بالرغم ان انت
+
+641
+00:49:45,780 --> 00:49:50,140
+تتعامل مع two opposite lines لكن ال line مالوش
+
+642
+00:49:50,140 --> 00:49:52,960
+جاعة بال line التانى ومالوش جاعة كل ال surface
+
+643
+00:49:52,960 --> 00:49:58,060
+اللى ال line خاص بيه واضح؟ اذا فى مشكلة ان اقول
+
+644
+00:49:58,060 --> 00:50:02,090
+هنا فى زي 180 عشان أحط سالبفى الحاجتين فى زاوية
+
+645
+00:50:02,090 --> 00:50:06,110
+180؟ مافيش فى الحاجتين زاوية Zero ولا Zero؟ Zero
+
+646
+00:50:06,110 --> 00:50:10,850
+كصالة Zero قد إيش؟ One و هنا نفس العملية إذا إيه
+
+647
+00:50:10,850 --> 00:50:17,630
+في إيه؟ حلو طب وهذا كيف إيه تبعته؟ باتجاه أنصار فى
+
+648
+00:50:17,630 --> 00:50:21,150
+الأقطار يعنى هى طبعا تحت أو فوج بتفرجش أو عليكم
+
+649
+00:50:21,150 --> 00:50:24,310
+بتفرجش تحت ولا فوج ولا عليكم ماكانتش زاوية بينها و
+
+650
+00:50:24,310 --> 00:50:33,690
+بين خط الأحضان روحت هنا Zeroمصبوط ولا لأ؟ عكس تمام
+
+651
+00:50:33,690 --> 00:50:38,530
+with q in is given by هي q in شايفينها هذه المنطقة
+
+652
+00:50:38,530 --> 00:50:44,890
+صح هذه المنطقة اللي دخلت جوا غطاية الجلام طب هذي
+
+653
+00:50:44,890 --> 00:50:48,010
+كيف اجيبها مساحة القاعدة في sigma مساحة القاعدة في
+
+654
+00:50:48,010 --> 00:50:51,030
+sigma او مساحة اللي قاعدة بتومض ماهي نفس مساحة
+
+655
+00:50:51,030 --> 00:50:55,130
+القاعدة اذا ال q in بتساوي sigma في ايه ولا لأ
+
+656
+00:50:55,130 --> 00:50:58,050
+شباب اذا ال q in بتساوي sigma في a
+
+657
+00:51:02,410 --> 00:51:08,330
+يعني واحد عنده سؤال مش معجبه يسأل احنا حكينا هذا
+
+658
+00:51:08,330 --> 00:51:15,110
+شرطة سهل بس ممتنعة سهل و قصير لكن فيه شوية شغلات
+
+659
+00:51:15,110 --> 00:51:18,450
+بدنا نركز عليها و بدناش ندخل حالنا فيها في اي
+
+660
+00:51:18,450 --> 00:51:19,250
+اشكالية شباب
+
+661
+00:51:23,280 --> 00:51:28,580
+طيب ا في a زي ا في a اتنين ا في a طبعا ليش ا و ا
+
+662
+00:51:28,580 --> 00:51:30,960
+لانها دي الصوانة الباس الأولى و الباس التانية
+
+663
+00:51:30,960 --> 00:51:35,700
+نفسها ولا لأ اذا معناته قال لي furthermore E is
+
+664
+00:51:35,700 --> 00:51:37,540
+directed normally outward and has a constant
+
+665
+00:51:37,540 --> 00:51:40,500
+magnitude at each point on the two ends of the
+
+666
+00:51:40,500 --> 00:51:43,600
+cylinder هذا كلام this mean that the third
+
+667
+00:51:43,600 --> 00:51:46,480
+integral vanish and the first two integrals each
+
+668
+00:51:46,480 --> 00:51:50,840
+reduces to E a انا بعيد من كلام الحكيته بس اذا
+
+669
+00:51:50,840 --> 00:51:56,080
+اتنينE في A بيساوي Sigma A على Epsilon 0 طلعت E
+
+670
+00:51:56,080 --> 00:52:02,160
+ولا ماخلعتش؟ طلعت طلعوا ال A راحت من الجواب لأن ال
+
+671
+00:52:02,160 --> 00:52:05,540
+A تبقى على سطح جارس سطح جارس انت اللي اختارته و
+
+672
+00:52:05,540 --> 00:52:09,060
+سطح جارس تبعي غير عن سطح جارس تبعك غير عن سطح جارس
+
+673
+00:52:09,060 --> 00:52:12,680
+تبع أي واحد فيكم صح ولا لأ المفروض مايبينش في جواب
+
+674
+00:52:12,680 --> 00:52:18,880
+طلعت ذاكرين ال disk شباب؟ مين يجلبلي ال disk مثل
+
+675
+00:52:18,880 --> 00:52:20,560
+ال disk الشابطة من الماضي؟ مين يعرف احد معاه
+
+676
+00:52:20,560 --> 00:52:25,820
+الشابطة من الماضي؟تبع ال disk فعملنا ملاحظة لو
+
+677
+00:52:25,820 --> 00:52:30,520
+كانت R goes to ملا نهاية او الجسم جريب جدا لما
+
+678
+00:52:30,520 --> 00:52:33,460
+حكينا عن النملة والفيل جونة جديش ايه طلعت
+
+679
+00:52:37,770 --> 00:52:43,970
+إذا to summarize Gauss's law is a law to find the
+
+680
+00:52:43,970 --> 00:52:48,770
+electric field for limited charge distribution. We
+
+681
+00:52:48,770 --> 00:52:52,570
+have three types of charge distribution where
+
+682
+00:52:52,570 --> 00:52:56,750
+Gauss's law is applicableأو الانتجار الروحاني
+
+683
+00:52:56,750 --> 00:52:59,990
+الانتجار
+
+684
+00:52:59,990 --> 00:53:04,530
+الروحاني مع الوضع أن الانتجار يجب أن يكون كبيرًا
+
+685
+00:53:04,530 --> 00:53:07,730
+وانتجار
+
+686
+00:53:07,730 --> 00:53:14,070
+الطائر مع الوضع أن الطائر يجب أن يكون كبيرًالذلك
+
+687
+00:53:14,070 --> 00:53:20,210
+يجب أن نختار موضوع غاوزيان، موضوع غاوزيان حيواني،
+
+688
+00:53:20,210 --> 00:53:24,050
+ويجب أن يكون هذا الموضوع غاوزيان يكون مرتبط
+
+689
+00:53:24,050 --> 00:53:28,130
+بالنسبة للإيقاع في تلك المجموعة السحرية.بالتالي
+
+690
+00:53:28,130 --> 00:53:37,160
+اتفقنا أن موضوع غاوزيان هو إما سفير أو سليندر.طبعا
+
+691
+00:53:37,160 --> 00:53:41,680
+كده بقى اشتغل ..الان قبل ما انا انسى لو بدي اختار
+
+692
+00:53:41,680 --> 00:53:47,740
+شباب سطح جاوس لل plane عبارة عن متوازي مستغيلات
+
+693
+00:53:47,740 --> 00:53:50,800
+بدي اشتغل من هناك الكتاب كمان مرة او الدفتر تمام
+
+694
+00:53:53,690 --> 00:53:57,090
+هذه سأختار مستوانة الاتبار ان انت اتبارت هذه جسك
+
+695
+00:53:57,090 --> 00:54:01,790
+صح او لا لان لأ هي عن زرعوطات بينا مستطيل صح او لا
+
+696
+00:54:01,790 --> 00:54:05,830
+مستطيل اذا العيالة تبعك متوزن مستطيلات حلو مش هي
+
+697
+00:54:05,830 --> 00:54:10,480
+متوزن مستطيلات هي متوزن مستطيلات هي صدح جاوسهذا
+
+698
+00:54:10,480 --> 00:54:14,380
+السطح جاهز بدي أشغله زي ما عملت فيه غطاك الجلمة و
+
+699
+00:54:14,380 --> 00:54:19,580
+دلتي ماشي لما هذا زهر عليّ نحن نجي واحدة واحدة أكم
+
+700
+00:54:19,580 --> 00:54:24,500
+سطح هنا فيه ستة خطوط المجال وينها عليكم و عليّ صح
+
+701
+00:54:24,500 --> 00:54:29,720
+نجي اللي عليكم انتوا المبينة هاي خط المجال مظبوط
+
+702
+00:54:29,720 --> 00:54:34,510
+واحدة واحدة هذا السطحكيف .. كيف الإيران تبعته؟
+
+703
+00:54:34,510 --> 00:54:41,370
+لأعلى روح طب هذا الصديقه؟ روح طب هذا الصديقه؟ وهذا
+
+704
+00:54:41,370 --> 00:54:45,070
+الصديقه؟ اذا كان فتح ضال؟ لو هنا كان فتح ضال؟
+
+705
+00:54:45,070 --> 00:54:49,170
+اتنين؟ ايش ده ايش اختلف؟ بيقول الآن اللي دخل جوا
+
+706
+00:54:49,170 --> 00:54:55,450
+الشحناتحجم او مساحة الوردة اللى جاخدة داخلها دائرة
+
+707
+00:54:55,450 --> 00:55:01,750
+ولا مستطيل؟ مستطيل اذا الصرف E عندك اتنين E في A
+
+708
+00:55:01,750 --> 00:55:06,610
+بس A ها دى مش مساحة دائرة مساحة مستطيل طب Sigma في
+
+709
+00:55:06,610 --> 00:55:12,430
+A برضه مستطيل وقعد ايه معناه يطلع نفسي الجواب؟إذن
+
+710
+00:55:12,430 --> 00:55:16,990
+انت سهلت وماختلفش جواب بدل ما بقيت تدور على ست
+
+711
+00:55:16,990 --> 00:55:21,330
+أسطح دورت على تلت أسطح ولا لأ؟ إذا نفس الجواب
+
+712
+00:55:21,330 --> 00:55:25,270
+مافيش أي اشكالية إذا ماتفقين جاوز ال surface
+
+713
+00:55:25,270 --> 00:55:31,850
+either sphere or cylinder بس متوازي مستطيلات
+
+714
+00:55:31,850 --> 00:55:34,330
+بلزمنيش بلزمنيش إطلاقا
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d514171a2cf19c511584662f561ecec57335d1a8
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0.srt
@@ -0,0 +1,2893 @@
+1
+00:00:09,700 --> 00:00:15,480
+بسم الله الرحمن الرحيم وحكينا أنّ الشابتر الثاني
+
+2
+00:00:15,480 --> 00:00:22,200
+بيحكي عن قانون غاوس خلينا نبدأ من هنا قانون غاوس
+
+3
+00:00:22,200 --> 00:00:28,360
+هو عنوان الشابتر الثاني قانون غاوس كمان مرة يا شباب
+
+4
+00:00:28,360 --> 00:00:33,180
+الشابتر هذا قصير فكرته محدودة لكن خلّيني أقول سهل 
+
+5
+00:00:33,180 --> 00:00:38,480
+ممتنع إذا الطالب ما فهمهاش بيبوظ الأسئلة فبالتالي
+
+6
+00:00:38,480 --> 00:00:42,420
+هو في فكرتين كيف أحسب الـ flux وكيف أستفيد من قانون
+
+7
+00:00:42,420 --> 00:00:46,060
+غاوس عشان أحسب شدة المجال الكهربائي قبل ما أفوت
+
+8
+00:00:46,060 --> 00:00:50,080
+على قانون غاوس بالذات أعرف الـ electric flux اللي 
+
+9
+00:00:50,080 --> 00:00:54,200
+بيعتمد عليه قانون غاوس فأول موضوع حكينا عنه هو الـ
+
+10
+00:00:54,200 --> 00:00:58,230
+electric flux أو الفيض الكهربائي التعريف بتاعه
+
+11
+00:00:58,230 --> 00:01:03,530
+بصورة بسيطة جداً أنّ الـ electric flux is a measure
+
+12
+00:01:03,530 --> 00:01:07,030
+of the number of electric field lines penetrating
+
+13
+00:01:07,030 --> 00:01:10,990
+some surface in a direction perpendicular to that
+
+14
+00:01:10,990 --> 00:01:15,990
+surface. إذن الفيض الكهربائي هو قياس لعدد خطوط 
+
+15
+00:01:15,990 --> 00:01:19,770
+المجال التي تخترق سطح ما. عشان يكون في عندي فيض 
+
+16
+00:01:19,770 --> 00:01:23,660
+بدخل خطوط مجال ويكون في اختراق لتفتح خطوط المجال
+
+17
+00:01:23,660 --> 00:01:25,660
+الحالي ما بتكفيش يعني المجال الكهربائي موجود 
+
+18
+00:01:25,660 --> 00:01:28,580
+ما بتكفيش أن أقول أنّ في عندي فيض لازم يكون في
+
+19
+00:01:28,580 --> 00:01:34,860
+اختراق فهذا التعريف حطوه بقانون قالوا أنّ الـ flux
+
+20
+00:01:34,860 --> 00:01:39,980
+لرمزه capital Phi equal E ضد الـ A أو E ضد الـ A
+
+21
+00:01:39,980 --> 00:01:42,680
+بنعرف أنّ E في A في الـ cosine الزاوية اللي بينهم 
+
+22
+00:01:42,680 --> 00:01:47,410
+على اعتبار أنّ فيتا is the angle between E and A الـ
+
+23
+00:01:47,410 --> 00:01:52,330
+Area اللي وجدنا عندها بنقول A is a vector quantity
+
+24
+00:01:52,330 --> 00:01:57,670
+من التعريف بتكون متعامدة على A وB أو متعامدة على
+
+25
+00:01:57,670 --> 00:02:01,490
+المستوى أو متعامدة على السطح إذاً دائماً بتكون
+
+26
+00:02:01,490 --> 00:02:10,030
+متعامدة على السطح وهو دائماً خارج من الأسطح المغلقة
+
+27
+00:02:10,030 --> 00:02:13,530
+طبعاً أنا أجرى صار في عندي سطح مغلق وسطح مش مغلق
+
+28
+00:02:13,530 --> 00:02:17,070
+كيف بدي أميز بين سطح مغلق وسطح مش مغلق قالوا شغلتها
+
+29
+00:02:17,070 --> 00:02:20,970
+سهلة من التعريف مش هو سطح المغلق بيقول by closed 
+
+30
+00:02:20,970 --> 00:02:25,340
+surface we mean that surface التي تقوم بتقسيم
+
+31
+00:02:25,340 --> 00:02:27,860
+المكان إلى مناطق الداخل والخارج
+
+32
+00:02:36,240 --> 00:02:39,720
+بيقول لنا الورقة هذه كسطح لحالها إذا ما تكون في أماكن
+
+33
+00:02:39,720 --> 00:02:42,680
+يقول هنا جوا الورقة أو هنا برة الورقة لأ إذا هذه
+
+34
+00:02:42,680 --> 00:02:46,500
+سطح مفتوح مش مغلق لكن نتيجة تطلع كرة يا شباب تعرف
+
+35
+00:02:46,500 --> 00:02:49,720
+الكورة؟ في جوا كورة و برة كورة ولا لأ إذا سطح 
+
+36
+00:02:49,720 --> 00:02:53,920
+الكورة سطح مغلق ولا لأ سطح مغلق الصوانة مغلقة يعني
+
+37
+00:02:53,920 --> 00:02:57,260
+إلّا قاعدتين و تمام تمام برضه في جوا للصوانة و برة
+
+38
+00:02:57,260 --> 00:03:00,800
+للصوانة هذه الغرفة لو سكرنا كل باب نقدر نقول أنت
+
+39
+00:03:00,800 --> 00:03:04,210
+جوا غرفة وفي ناس برة الغرفة ولا لأ إذا الغرفة دي
+
+40
+00:03:04,210 --> 00:03:10,310
+تحتوي على سطح مغلق بس الغرفة كم سطح لها؟ ستة
+
+41
+00:03:10,310 --> 00:03:17,070
+الكورة وواحد أسطوانة 3 تبارك الله عليكم فدي مش 
+
+42
+00:03:17,070 --> 00:03:20,210
+بيقول إيه بيقول لما يكون يخرج من سطح مغلق بالإضافة
+
+43
+00:03:20,210 --> 00:03:23,210
+إلى أن يكون عمودي على السطح بيكون برة طيب احنا
+
+44
+00:03:23,210 --> 00:03:26,390
+اتفقنا نقول فيها كم سطح لها ستة نبدأ في السقف
+
+45
+00:03:26,390 --> 00:03:31,730
+السطح من السطح اتجاه المساحة تبع السقف كيف لأعلى
+
+46
+00:03:31,730 --> 00:03:39,030
+عمودي و برة عمودي و برة طب الأرض لأسفل الحيطة هذه
+
+47
+00:03:39,900 --> 00:03:43,960
+للخارج هيك، للحيطة هذه هيك، للحيطة هذه برة، للحيطة
+
+48
+00:03:43,960 --> 00:03:47,120
+هذه برة، هذه معناتها، إذاً .. بالإضافة إلى أنه يكون 
+
+49
+00:03:47,120 --> 00:03:50,960
+عمودي، إذا كان خرج من سطح مغلق، بيكون outward، وده
+
+50
+00:03:50,960 --> 00:03:54,860
+يا شباب؟ طبعاً الصوانة، لو قلنا هي الصوانة، اعتبار،
+
+51
+00:03:54,860 --> 00:03:57,860
+مظبوط ولا لأ؟ هي قاعدة العلوية، كيف بيكون اتجاه
+
+52
+00:03:57,860 --> 00:04:02,830
+المساحة؟ لأعلى، وهال؟ طب وهذه؟ على كل جوانبها
+
+53
+00:04:02,830 --> 00:04:05,390
+بيكون باتجاه أنصاف الأقطار يا شباب لما يكون السطح
+
+54
+00:04:05,390 --> 00:04:09,470
+منحني العمودي على أي curve خدناها فيه Z ألف بيكون
+
+55
+00:04:09,470 --> 00:04:11,870
+باتجاه أنصاف الأقطار لأنّ نصف القطر عمودي على 
+
+56
+00:04:11,870 --> 00:04:15,470
+المماسات صح ولا لأ فنصف القطر عمودي على السطح دائماً
+
+57
+00:04:15,470 --> 00:04:20,750
+فهذا لما يكون السطح ملتوي خلاص العملية سهلة جداً
+
+58
+00:04:20,750 --> 00:04:26,390
+صارت طبعاً حكينا من التعريف أنّ الـ flux كمية 
+
+59
+00:04:26,390 --> 00:04:30,550
+فيزيائية جديدة vector ولا scalar سكيلر .. طب حلو
+
+60
+00:04:30,550 --> 00:04:33,390
+الـ scalar سهل .. التعامل مع سكيلر أسهل من التعامل مع 
+
+61
+00:04:33,390 --> 00:04:35,350
+vectors .. على الأقل الجامع حبيب الطريق يقول لي
+
+62
+00:04:35,350 --> 00:04:39,190
+ويحلل وما يحللش .. صح ولا لأ .. تمام .. it is a
+
+63
+00:04:39,190 --> 00:04:41,670
+force from the last equation that fires a scalar
+
+64
+00:04:41,670 --> 00:04:45,110
+quantity .. طيب طب وحدتها .. ما لهاش وحدة خاصة بها
+
+65
+00:04:45,110 --> 00:04:49,920
+.. مشتقة من تعريفها .. إيش تعريفها؟ E لها وحدة E 
+
+66
+00:04:49,920 --> 00:04:54,540
+ولا لا؟ الـ Newton على كلّه والـ Area متر تربيع، إذن 
+
+67
+00:04:54,540 --> 00:04:57,420
+الـ Newton متر تربيع على كلّه، إذن وحدتها معروفة 
+
+68
+00:04:57,420 --> 00:05:04,620
+ومشتقة من القانون، ما عندي أي مشكلة. طيب القانون 
+
+69
+00:05:04,620 --> 00:05:10,480
+هذا اللي حكينا إنّ الـ Flux بتساوي أو القانون حطينا 
+
+70
+00:05:10,480 --> 00:05:15,900
+بتساوي E ضد الـ A، حلو، ده اللي يرجع للوحة، اللوحة
+
+71
+00:05:15,900 --> 00:05:19,300
+مسحتها بتعرفوها تجيبوها؟ آه بجيب متر بجيب صورة عرضها
+
+72
+00:05:19,300 --> 00:05:23,920
+و خلاص تيجي المساحة جالي لو المجال جوا اللوح ثابت
+
+73
+00:05:23,920 --> 00:05:29,600
+يعني هنا في مجال هل في مجال طب وهنا مجال مختلف لو 
+
+74
+00:05:29,600 --> 00:05:32,700
+هدا إي واحد هدا إي اثنين طب هنا بقول مجال مختلف
+
+75
+00:05:32,700 --> 00:05:40,620
+برضه ثابت هنا إي أربعة وهكذا هنا إي خمسة إذاً أنا
+
+76
+00:05:40,620 --> 00:05:45,890
+قاعد بشتغل بدا يحسب الـ flux خلال اللوح وين ما فيه
+
+77
+00:05:45,890 --> 00:05:48,190
+في اللوح فيه مجالات لكن كل واحد مجاله مختلف عن
+
+78
+00:05:48,190 --> 00:05:51,570
+الكاني و we can كلّ هنا سافر وهنا ما فيش في مرة
+
+79
+00:05:51,570 --> 00:05:54,370
+فيه ومرة ما فيش وهنا مقدار كبير وهنا مقدار صغير
+
+80
+00:05:54,370 --> 00:05:57,470
+بيقول if E is not constants over the surface in
+
+81
+00:05:57,470 --> 00:06:01,110
+question كيف بدك تحسبها؟ إيه عرفت تجيبها؟ كيف E
+
+82
+00:06:01,110 --> 00:06:06,760
+بدك تجيبها؟ ما بنفعش تجيب المتوسطة E وتضربها في E يا
+
+83
+00:06:06,760 --> 00:06:11,880
+شباب لأنّه إنت لما تجيب متوسطة E هل كلّ المساحة لها
+
+84
+00:06:11,880 --> 00:06:15,120
+نفس القيمة؟ لأ، بيقول لي إيش تسوي؟ بيقول لي أجرى ورا
+
+85
+00:06:15,120 --> 00:06:19,060
+المجال أسهل حاجة، بيقول لي مش إنت E هنا بتعرفها؟ آه
+
+86
+00:06:19,060 --> 00:06:23,340
+بتعرفها، هذي بس E هنا، جيلي خد مساحة أجدها، أجدها
+
+87
+00:06:23,340 --> 00:06:26,880
+بس، هذي مساحة صغيرة، بتعرفي تجيبها، جيب لي Flux 
+
+88
+00:06:26,880 --> 00:06:30,500
+لهذه المساحة، جيبت لي Flux، تمام؟ لما تجيب لي Flux
+
+89
+00:06:30,500 --> 00:06:32,480
+لهذه المساحة، بدك E2 ولا بدك E1؟
+
+90
+00:06:53,190 --> 00:06:59,090
+بتجسم جزء من المساحة يعني عنصر، إيش مساحة عنصر؟ dA
+
+91
+00:06:59,090 --> 00:07:04,030
+مظبوط أو لا مساحة العنصر دي إيه إذاً بيقول لك في هذه
+
+92
+00:07:04,030 --> 00:07:07,350
+الحالة كلّها بتشتغل بيقول لي هيك بتصير القانون إيه
+
+93
+00:07:07,350 --> 00:07:14,590
+ضبط الـ dA جسمت المساحة لعناصر جبت الـ flux لعنصر و
+
+94
+00:07:14,590 --> 00:07:19,510
+بعدين كملت أو جمعت طلع الـ flux الكلّ تمام القانون 
+
+95
+00:07:19,510 --> 00:07:23,930
+الأول هيّه القانون الجديد هيّه طيب هذا القانون إيه
+
+96
+00:07:23,930 --> 00:07:27,670
+شرطه أنّ هذا إيش تكون ثابت طب لو هذا ثابت إيش بيصير
+
+97
+00:07:28,960 --> 00:07:32,580
+طلّيها برة .. برجع القانون .. برجع .. إيش تكامل
+
+98
+00:07:32,580 --> 00:07:35,560
+اللي دي إيه .. إيه .. إيه .. إيه .. إيه .. إذاً هذا 
+
+99
+00:07:35,560 --> 00:07:38,600
+القانون أشمل يا شباب .. هذا القانون أشمل .. يعني هذا 
+
+100
+00:07:38,600 --> 00:07:41,280
+أحلى .. خلاص مدّيني لا بقعد أفكر ولا حاجة .. إيه
+
+101
+00:07:41,280 --> 00:07:45,320
+ثابت .. طب أطلّيها برة تكامل .. ما بديش شغلة .. not
+
+102
+00:07:45,320 --> 00:07:47,680
+that if E is constant .. بقول إذا كانت E is
+
+103
+00:07:47,680 --> 00:07:51,530
+constant .. برجع لك .. over the surface it should be
+
+104
+00:07:51,530 --> 00:07:54,750
+taken out of the integration بأطلّعها عبر التكامل and
+
+105
+00:07:54,750 --> 00:07:57,750
+we recover the first equation اللي هي هذه زي ما
+
+106
+00:07:57,750 --> 00:08:01,590
+كنت متوقع يعني هذا القانون هذا بيسدّ لي عن كلّ تعريف
+
+107
+00:08:01,590 --> 00:08:04,790
+الفرق سهل هجيب مش تحكي هذا القانون للمتغير لأي
+
+108
+00:08:04,790 --> 00:08:07,790
+متغير بفضل طب أنا إيه بعوّض إي واحد وإلّا اثنين وإلّا
+
+109
+00:08:07,790 --> 00:08:08,470
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين 
+
+110
+00:08:08,470 --> 00:08:10,590
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+111
+00:08:10,590 --> 00:08:12,050
+اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين
+
+112
+00:08:12,050 --> 00:08:15,160
+اثنين اثنين اثنين أترجزيئات .. سطح .. جزء واحد ..
+
+113
+00:08:15,160 --> 00:08:18,040
+جزء سطح .. أنت إيه .. هذه عند الجزء اللي اخترته ..
+
+114
+00:08:18,040 --> 00:08:20,760
+ذاك لما كنا ناخذ عنصر .. مش هيجينا ناخذ كلّ عنصر ..
+
+115
+00:08:20,760 --> 00:08:22,460
+كلّ عنصر واحد .. الـ brackets .. عنصر واحد .. إذاً 
+
+116
+00:08:22,460 --> 00:08:26,350
+هذه الدين عند عنصر اللي اخترته أنت عليّا كيف؟ لأ
+
+117
+00:08:26,350 --> 00:08:29,390
+طبعاً هناك أنا بأخذ وبعدين بيبقى ليش؟ لأنّك أنت و
+
+118
+00:08:29,390 --> 00:08:33,170
+أنت بتكامل إيه عاملة تتغير كلّ كلمة تغير عنصرك بتجي
+
+119
+00:08:33,170 --> 00:08:37,590
+لورا فهذه إيه تبع عنصر دي إيه؟ تبع عنصر دي إيه؟
+
+120
+00:08:37,590 --> 00:08:40,610
+سؤالك مهم إنّه إيه هذه تبع عنصر دي إيه؟ اللي أنا 
+
+121
+00:08:40,610 --> 00:08:43,230
+اخترته لأنّي اخترت عنصر واحد وبعدين التكامل 
+
+122
+00:08:43,230 --> 00:08:46,710
+بيجيب لي كلّ شيء تمام؟ لأنّه بيجيب علاقة وشغلات يعني
+
+123
+00:08:46,710 --> 00:08:48,170
+بالتالي ماوفه
+
+124
+00:08:55,660 --> 00:09:00,460
+طب آه أنت 
+
+125
+00:09:00,460 --> 00:09:02,940
+لما تتكامل إيه بتسويه؟ هو إيه هذي أنت لما تتكامل
+
+126
+00:09:02,940 --> 00:09:05,140
+إيه بيبقى الـ value اللي إتلقتها وبيتغير معاك؟
+
+127
+00:09:05,140 --> 00:09:08,360
+بيتغير .. بيتغير .. في مين جالك constant C؟ في مين
+
+128
+00:09:08,360 --> 00:09:10,560
+جالك constant C؟ ممكن تقول لي من أفير على تكمل
+
+129
+00:09:10,560 --> 00:09:13,100
+الحدود .. آه .. وأنا أنت هجيت اللي وحلّقت دلوقتي
+
+130
+00:09:13,100 --> 00:09:16,850
+مع الضغط ماشي على قوانين؟ ولا بتخلص عند اللوح ..
+
+131
+00:09:16,850 --> 00:09:19,590
+إذاً في نهاية .. في نهاية إنّه يتكامل ولا لا ..
+
+132
+00:09:19,590 --> 00:09:22,510
+بتبقى هتخلص هنا .. إذاً هو بتبدأ يوم التكامل أنت عارف 
+
+133
+00:09:22,510 --> 00:09:25,230
+.. أنت بتبقى هتتكامل .. ما فيش ده إتسي .. زي إتسي 
+
+134
+00:09:25,230 --> 00:09:27,710
+فأنت تقوم بالنوكالكولاس .. لأنّ التكامل ما عرفش حدود 
+
+135
+00:09:27,710 --> 00:09:29,890
+.. أما أنت عندك هنا بتجيب الشخلية دي .. أنت عارف 
+
+136
+00:09:29,890 --> 00:09:31,690
+أنت بتجيب معاها .. أنت بتجيب مع اللوح .. بتبدأ 
+
+137
+00:09:31,690 --> 00:09:35,330
+نجينا .. وبتنكي هنا .. بتبقاش ماشي .. يعني كده ..
+
+138
+00:09:35,330 --> 00:09:39,770
+أخونا احنا صح حلّينا .. بنجيب .. لما نصلها .. بنجيب 
+
+139
+00:09:39,770 --> 00:09:45,560
+.. طبعاً نشرح نشرح أنا لما نيجي نحضّر فأنا بنجيب و
+
+140
+00:09:45,560 --> 00:09:54,080
+أكتر أفرج تمام حلو طبعاً
+
+141
+00:09:54,080 --> 00:09:58,040
+حاجات بدّه يشرح أكتر على الـ surface خليني أنا قبل
+
+142
+00:09:58,040 --> 00:10:00,040
+ما أشرح هذه الرسمة اللي أنا جيبتها من الـ net يبدو 
+
+143
+00:10:00,040 --> 00:10:02,140
+أنّها مش واضحة ولا مش واضحة ولا لأ خليني أعمل 
+
+144
+00:10:02,140 --> 00:10:07,700
+التالي يا شباب مدّيش أجيب الرسمة وبعدين أجيب الرسمة و
+
+145
+00:10:07,700 --> 00:10:11,960
+بدي أجيب هذه الرسمة هذي إيش كرة صح كرة مش دائرة
+
+146
+00:10:11,960 --> 00:10:20,220
+كرة مسكرة من جوا وبدي أخفّ مجال يا شباب دخل 
+
+147
+00:10:20,220 --> 00:10:25,040
+وبعدين خرج يعني اخترق ولا ما اخترقش كمّ مرّة اخترق
+
+148
+00:10:25,040 --> 00:10:30,480
+السطح مرّة داخل ومرّة خارج صح ولا لأ طيب بدي أحسب الـ
+
+149
+00:10:30,480 --> 00:10:34,960
+flux بدي أحسبه مرتين مش هو الـ flux جدّه فيه اختراق 
+
+150
+00:10:34,960 --> 00:10:41,940
+بدي أحسبه مرتين أول لما دخل ومن أين دخل من هنا صح
+
+151
+00:10:41,940 --> 00:10:46,420
+فاكرولي بالمساحة كيف اتجاهها حسب القاعدة تبعنا منها 
+
+152
+00:10:46,420 --> 00:10:55,280
+عمودي ولا برة هي إيه وهي إيه قدّيش الزاوية 180 درجة 
+
+153
+00:10:55,280 --> 00:11:00,240
+قدّيش كـ cosine 180 سالب واحد سالب واحد طب هنا كيف
+
+154
+00:11:00,240 --> 00:11:06,980
+المساحة فارقة إذاً هال إيه وهال إيه قدّيش الزاوية
+
+155
+00:11:06,980 --> 00:11:12,220
+بينهم صفر كـ cosine صفر قد إيه وهناك سالب واحد جمعوهم
+
+156
+00:11:12,220 --> 00:11:16,480
+طلع Zero بيقول لي هذا المقدار شغلة مبتقية أنت البقية
+
+157
+00:11:16,480 --> 00:11:20,810
+التانية قاعد بتحسب اختراق .. اختراق داخل واختراق خارج
+
+158
+00:11:20,810 --> 00:11:25,270
+معناته وكأنّه ما عملش حاجة في النهاية كمقصلة إذا الـ 
+
+159
+00:11:25,270 --> 00:11:28,670
+flux بيساوي صفر تمام؟ قال لي بصورة إجمالية الرسم
+
+160
+00:11:28,670 --> 00:11:33,970
+اللي أنا جيبتها جاب كرة زي بلونة تمام؟ زي بلونة مش 
+
+161
+00:11:33,970 --> 00:11:36,330
+.. مش معطلة زي الكرة وقال هذه خطوط المجال
+
+162
+00:11:36,330 --> 00:11:39,850
+شايفينها؟ في خط مجال بيخش وبحرط بدل جوا ولا لازم
+
+163
+00:11:39,850 --> 00:11:44,750
+يطلع؟ لازم يطلع كلّ خطوط المجال دخلت وطلعت قال لي من
+
+164
+00:11:44,750 --> 00:11:51,200
+وين؟ أيّ خط خده أنت وفكر فيه هو داخل هتلاقي الزاوية
+
+165
+00:11:51,200 --> 00:11:55,440
+اللي بتعملها الخط مع A لازم تكون منفرجة لازم 
+
+166
+00:11:55,440 --> 00:11:58,920
+تكون منفرجة طلع يا شباب هذه الخط داخل هذه المساحة
+
+167
+00:11:58,920 --> 00:12:03,020
+لو هنا عمودي بيكون هيك في الزاوية المنفرجة عندها
+
+168
+00:12:03,020 --> 00:12:07,060
+بيكون هيك الزاوية المنفرجة في المكان لو هذه جسدية 
+
+169
+00:12:07,060 --> 00:12:10,
+
+201
+00:14:34,330 --> 00:14:37,420
+الخارجة بقول zero بدون أي شيء على طول بقول zero
+
+202
+00:14:37,420 --> 00:14:40,080
+بدون حلول احنا نحل احنا أسئلة ونشوف إن هذا كلام 
+
+203
+00:14:40,080 --> 00:14:44,800
+صحيح ولا لأ؟ هذا مثال بسيط جدا بيقولوا خلينا نحسب
+
+204
+00:14:44,800 --> 00:14:47,580
+ال flux أبسط حاجة what if the electric flux
+
+205
+00:14:47,580 --> 00:14:50,780
+through a sphere that has a radius of one meter
+
+206
+00:14:50,780 --> 00:14:54,600
+and carries a charge of one micro coulomb at its
+
+207
+00:14:54,600 --> 00:14:58,420
+center بيقولوا عندي كرة في مركزها في شحنة شباب
+
+208
+00:14:58,420 --> 00:15:03,170
+الشحنة الزرقاء شايفينها هذه الشحنة، والكورة الخامة 
+
+209
+00:15:03,170 --> 00:15:08,550
+كرة محيطة بالشحنة بيقول أوجد ال flux خلال سطح 
+
+210
+00:15:08,550 --> 00:15:12,890
+الكرة القانون واضح E ضد ال DA كتاب كابل هذا هو
+
+211
+00:15:12,890 --> 00:15:16,810
+القانون اللي بنعرفه ال flux بيساوي E ضد ال DA
+
+212
+00:15:16,810 --> 00:15:19,610
+إذا E كانت مطلقة خارجها برجع هذا القانون صح ولا
+
+213
+00:15:19,610 --> 00:15:24,630
+لأ؟ تمام، أنا ببدأ أرسم خطوط مجال طب احنا اتعلمنا كيف
+
+214
+00:15:24,630 --> 00:15:27,350
+نرسم خطوط المجال ولا لأ؟ الشحنات الموجبة كيف بيكون
+
+215
+00:15:27,350 --> 00:15:30,930
+طالع منها ولا لأ؟ ها خطوط المجال رسمناها، اتصوروا 
+
+216
+00:15:30,930 --> 00:15:34,910
+أنتوا الكرة الحمراء في خطوط ما اخترقتها؟ في خطوط
+
+217
+00:15:34,910 --> 00:15:42,870
+اخترقتها ولا لأ؟ اه في خط خرج وعود دخل كلهم مالهم 
+
+218
+00:15:42,870 --> 00:15:48,540
+خرجوا، إذا في flux مافيش تداخل بيصور خارج .. إذا في 
+
+219
+00:15:48,540 --> 00:15:52,400
+فلكس .. نجى نحسبه .. إذا بدنا نحسبه مافيش هي قانون
+
+220
+00:15:52,400 --> 00:15:55,900
+.. إيش عشان نحسب القانون .. إيش بدي .. بدي إيه ..
+
+221
+00:15:55,900 --> 00:15:59,520
+طب إيه مساحة الكرة في حد بيعرفهاش .. مش 4 by R 
+
+222
+00:15:59,520 --> 00:16:02,500
+تربيع .. مساحة الكرة سهلة .. وإذا بدكم إياها ..
+
+223
+00:16:02,500 --> 00:16:05,280
+نديكم إياها .. مش قضيتنا .. أما نعرف إن الكرة اللي
+
+224
+00:16:05,280 --> 00:16:07,600
+نصفها العالم .. ما عرفش .. إلا قانون الصينية .. شغل 
+
+225
+00:16:07,600 --> 00:16:10,380
+تانية .. لكن إلا قانون عارفينه .. بقى أحسب إيه ..
+
+226
+00:16:10,380 --> 00:16:15,030
+طب إيه من وين جا هو .. من شحنة وشحنة point of 
+
+227
+00:16:15,030 --> 00:16:19,930
+charge وإلى قانون كله ولا مانهاش إلى قانون كله إذا
+
+228
+00:16:19,930 --> 00:16:25,510
+بقدر أجيبه إذا بقول solution the electric field at
+
+229
+00:16:25,510 --> 00:16:28,890
+any point on the surface of the sphere is هذا هو 
+
+230
+00:16:28,890 --> 00:16:35,310
+عارفين القانون هذا طيب شوفناها قبل كده حلو، اطلعوا 
+
+231
+00:16:35,310 --> 00:16:35,710
+شباب
+
+232
+00:16:42,590 --> 00:16:48,320
+بتتغير E هل ايه ثابت على السطح ولا ما ثابت؟ ثابت
+
+233
+00:16:48,320 --> 00:16:52,180
+لأن نفس رؤوس القطر لأن الوضع هو رؤوس القطر طول ما 
+
+234
+00:16:52,180 --> 00:16:55,440
+أنا على السطح بدرب ولا ابعد عن الكرة؟ لا بدرب ولا
+
+235
+00:16:55,440 --> 00:17:00,080
+ابعد، إذا أنا شدة المجال ثابت على السطح يعني هذا
+
+236
+00:17:00,080 --> 00:17:04,900
+القانون بينفع أو بطلق هذه برضه ترجع صح أو لا كيو 
+
+237
+00:17:04,900 --> 00:17:07,900
+على R تربيع، أحسب ولا نكيو من الدنيا هو نسقط من 
+
+238
+00:17:07,900 --> 00:17:12,120
+الدنيا ولا لا؟ مش مشكلة حسبه مش قضية الحساب بقدر 
+
+239
+00:17:12,120 --> 00:17:18,790
+أطلعه، تمام، now ل flux أخدت هذا عشان إنه ثابت احنا 
+
+240
+00:17:18,790 --> 00:17:23,150
+اتفقنا صح ولا لأ؟ إيه dot ال ايه طيب الخطوط اللي
+
+241
+00:17:23,150 --> 00:17:26,590
+أنا رسمتها عند كل خط كل واحد يحسب لي إيه كيف
+
+242
+00:17:26,590 --> 00:17:31,860
+اتجاهها عند أي خط خدوا جدّاش الزاوية بتعمل بين E و 
+
+243
+00:17:31,860 --> 00:17:37,480
+A؟ Zero كوساين Zero، One، إذا E Dot A بيساوي E في A
+
+244
+00:17:37,480 --> 00:17:41,560
+في كوساين Theta The field points linearly outward
+
+245
+00:17:41,560 --> 00:17:46,100
+المجال مع أنصاف الأقطار أصلا و المساحة لازم تكون
+
+246
+00:17:46,100 --> 00:17:49,280
+مع أنصاف الأقطار، إذا كوساين Theta بتساوي واحد، يعني 
+
+247
+00:17:49,280 --> 00:17:55,100
+Theta بتساوي Zero حل السؤال إذا E في A بتساويهذا
+
+248
+00:17:55,100 --> 00:18:00,180
+في 4πr تربيع في كوساين صفر صح ولا لأ؟ بطلّع إيه
+
+249
+00:18:00,180 --> 00:18:03,700
+جواب طبعا، بطلّع إيه جواب لو جيت أنا مابديش أرقام
+
+250
+00:18:03,700 --> 00:18:06,500
+مابديش عندي أرقام، مابدي أحلي بدون أرقام، بقول سهلة
+
+251
+00:18:06,500 --> 00:18:12,840
+من هنا بتساوي كداش؟ طلعنا إيه KQ على R تربيع و كداش 
+
+252
+00:18:12,840 --> 00:18:20,720
+إيه شباب 4πR تربيع مش هيك صح؟ واحد بالظبط هذه الله
+
+253
+00:18:20,720 --> 00:18:27,460
+سهل عليها صح؟ طيب و هذه 1 على 4 باي عضايا epsilon نوت
+
+254
+00:18:27,460 --> 00:18:36,600
+إذا إذا إيش بتطلع؟ Q على epsilon نوت طب على Q على 
+
+255
+00:18:36,600 --> 00:18:39,220
+epsilon نوت بتطلع رقم هذا نفسه epsilon نوت تذكرين
+
+256
+00:18:39,220 --> 00:18:44,620
+ديركم إياها 88.5% أه تحطايركم، إذا بقول أحسبها طلعت
+
+257
+00:18:44,620 --> 00:18:48,240
+Q على epsilon نوت، تطلعوا عليها لو الكورة دي كبرت
+
+258
+00:18:48,240 --> 00:18:55,070
+شباب ال flux بتتغير لو الكرة الحمراء كبرت تغير ال
+
+259
+00:18:55,070 --> 00:18:58,090
+flux؟
+
+260
+00:18:58,090 --> 00:19:03,530
+طب أنت لماذا ما تطلع الجواب في آخر اشتغالة معايا؟
+
+261
+00:19:03,530 --> 00:19:07,510
+إيش جواب فيه؟ الـQ على الـ epsilon نوت؟ باعتماد
+
+262
+00:19:07,510 --> 00:19:11,950
+نصف الكورة؟ باعتماد .. طيب أنتوا تصوروها كبرت هجيت
+
+263
+00:19:11,950 --> 00:19:15,330
+أكم خط اخترق هنا؟ أكم هدول؟ تلاتة و تلاتة ستة
+
+264
+00:19:15,330 --> 00:19:17,410
+ثمانية، تمام؟ خليهم هي
+
+265
+00:19:20,540 --> 00:19:26,900
+زادوا خطوطنا نفسه إذا مافيش دعوة طب صغروا نفس
+
+266
+00:19:26,900 --> 00:19:31,320
+الخطوط الثمانية إذا صاروا facts باعتمديش على السطح
+
+267
+00:19:31,320 --> 00:19:35,000
+باعتمديش على السطح صح ولا لا؟ طبعا احنا قاعدين 
+
+268
+00:19:35,000 --> 00:19:37,140
+بنجرب لشغلة معينة واحدة واحدة 
+
+269
+00:19:40,510 --> 00:19:43,850
+إذا طلعنا ده في النهاية اذكروا لي هد Q على epsilon
+
+270
+00:19:43,850 --> 00:19:46,070
+إن هو اتطلع الجواب هد الرقم هو Q على epsilon إن هو
+
+271
+00:19:46,070 --> 00:19:49,210
+اتطلع الجواب تمام؟ بس اذكروه إيش معناه؟ هد إيش
+
+272
+00:19:49,210 --> 00:19:55,630
+بيجربلي؟ ليش؟ بيقول لي لو مافيشش جوة شحنة جدّاش ال
+
+273
+00:19:55,630 --> 00:20:01,410
+flux؟ zero صح ولا لأ؟ لو مافيشش جوة شحنة معناه
+
+274
+00:20:01,410 --> 00:20:05,130
+المجال منه جاي من برا صح؟ و جاي من برا معناه اللي
+
+275
+00:20:05,130 --> 00:20:10,980
+داخل لازم يخرج اللي داخل لازم يخرج وإذا الداخل خرج
+
+276
+00:20:10,980 --> 00:20:15,640
+مثلًا وحكينا بيكون Zero إذا صار بمعنى ما أخرج لو 
+
+277
+00:20:15,640 --> 00:20:19,960
+أحد سأله وفيه إمكانية إن المجال يدخل وما يخرجش 
+
+278
+00:20:19,960 --> 00:20:26,340
+بيقوله اه وقتيش لما يكون فيه شحنة سالبة صح؟ لأن 
+
+279
+00:20:26,340 --> 00:20:29,980
+المجال وين بيخلص شباب؟ عند الشحنات السالبة لو جاي
+
+280
+00:20:29,980 --> 00:20:33,180
+من برة وفيه شحنة سالبة بتبلع وبتقوله اقعد صح؟
+
+281
+00:20:33,180 --> 00:20:37,350
+بيبقاله جوا والمجال وقتهش بيخرج بيدخلش ويكون الشحن
+
+282
+00:20:37,350 --> 00:20:41,270
+موجبة جوا زي هذه الحالة شوف أنتوا خرج كله مادخلش
+
+283
+00:20:41,270 --> 00:20:45,870
+إذا هو من وين انولد؟ انولد من جوا انولد من جوا
+
+284
+00:20:45,870 --> 00:20:48,510
+لأنه في شحنات جوا إذا صار ال flux بيعتمد على
+
+285
+00:20:48,510 --> 00:20:51,910
+الشحنات اللي جوا ال flux بيعتمد على الشحنات جوا في
+
+286
+00:20:51,910 --> 00:20:57,450
+شحنات أو مافيش شحنات حلو، كما المثال بيقول لي a cube
+
+287
+00:20:57,450 --> 00:21:03,010
+of HL ال cube كان صفة حلو شبابا والاصل تبعتهش بفرق
+
+288
+00:21:03,010 --> 00:21:08,170
+عالم توزن المصفاتيلات؟ إن هو مربع حلو إن هو أربع
+
+289
+00:21:08,170 --> 00:21:13,030
+مربع ستة مربعات أوجهه بيقول طول حرف ال يعني
+
+290
+00:21:13,030 --> 00:21:17,750
+مساحة كل وجه جدّاش ال تربيع حلو، بيقول is oriented
+
+291
+00:21:17,750 --> 00:21:21,070
+in a uniform electric field as shown بيقول محطوط 
+
+292
+00:21:21,070 --> 00:21:24,930
+في مجال كهربائي uniform يعني مجال ثابت تمام ماقدر 
+
+293
+00:21:24,930 --> 00:21:31,210
+أطلعه برا تكامل Find the net electric flux from the
+
+294
+00:21:31,210 --> 00:21:34,630
+surface of the cube بدّوا ال flux الكل على ال
+
+295
+00:21:34,630 --> 00:21:38,610
+surface كل كيوب على كل كيوب الكيوب كم وجه رسمناها؟
+
+296
+00:21:38,610 --> 00:21:44,810
+ستة ستة بدّ ال flux على ست أوجه اجمعهم بعدين 
+
+297
+00:21:44,810 --> 00:21:49,310
+متفقين، نرسم ال flux الكيوب هاي الكيوب رسمناها هاي
+
+298
+00:21:49,310 --> 00:21:52,790
+وجهي الأصفر وهذا الوجه اللي ملزق في اللوح وهذا 
+
+299
+00:21:52,790 --> 00:21:56,280
+الوجه الأحمر اللي واجه فيك وهذا الوجه الأصفر أو
+
+300
+00:21:56,280 --> 00:22:00,020
+الأصفر الغامق وهذا كمان وجه عليكم ماجدّاش ألون له لو
+
+301
+00:22:00,020 --> 00:22:03,480
+إنكم بيخبيه للباقيين تمام؟ وهذا الوجه الفجاني
+
+302
+00:22:03,480 --> 00:22:07,680
+الأخضر هاي الست أوجه برجع بقول فيها هذا هي خطوط المجال
+
+303
+00:22:07,680 --> 00:22:10,000
+uniform electric field كيف المرسوم ال electric 
+
+304
+00:22:10,000 --> 00:22:13,640
+field شباب ال uniform خطوط ما لها متوازية هذه
+
+305
+00:22:13,640 --> 00:22:17,700
+المرسومة، أندي خطوط متوازية هيك شكله، طبعا واضح من 
+
+306
+00:22:17,700 --> 00:22:23,110
+هنا في خط دخل ومخرجش، جانحة تتوقع الجواب يكون Zero 
+
+307
+00:22:23,110 --> 00:22:27,150
+فسحب نثبته بالتفصيل إنه Zero أما هو Zero لأن
+
+308
+00:22:27,150 --> 00:22:29,550
+القاعدة بتقول عدد خطوط المجال اللي داخلة بيساوي
+
+309
+00:22:29,550 --> 00:22:32,390
+عدد خطوط المجال الخارجة صح ولا لأ؟ إذا ال flux دي
+
+310
+00:22:32,390 --> 00:22:36,030
+بيساوي صفر، ليش؟ لأن ال cube سطح مغلق ولا مغلق؟ سطح
+
+311
+00:22:36,030 --> 00:22:39,350
+مغلق والقاعدة بتقول لأي سطح مغلق إذا عدد خطوط
+
+312
+00:22:39,350 --> 00:22:42,050
+المجال اللي داخلة بيساوي عدد خطوط المجال الخارجة
+
+313
+00:22:42,050 --> 00:22:48,010
+إذا ال flux بتساوي Zero، ليه نحسب؟ بيقول لي the net
+
+314
+00:22:48,010 --> 00:22:52,850
+flux through the cube is the sum هو مجموع the flux
+
+315
+00:22:52,850 --> 00:22:56,570
+through the six faces of the cube وينهم ال six
+
+316
+00:22:56,570 --> 00:23:00,190
+faces بيقول لي أربع هرقم لك إياهم أربع هيكون اللي هم 
+
+317
+00:23:00,190 --> 00:23:04,070
+أرقام named يعني اللي هم مسميات the four faces 
+
+318
+00:23:04,070 --> 00:23:07,750
+named in the figure عدي حد يهم أسماء and the other
+
+319
+00:23:07,750 --> 00:23:11,410
+two unnumbered faces في اتنين مش هرقمهم اللي هو
+
+320
+00:23:11,410 --> 00:23:14,800
+اللي عليكم واللي ملزق على اللوحة اللي عليكم واللي
+
+321
+00:23:14,800 --> 00:23:17,420
+ملزق عليه لأن اللي عليكم واللي ملزق عليه عادي
+
+322
+00:23:17,420 --> 00:23:19,960
+لما أجيب ال area بقى صعب أرسمها بده يكون واحد
+
+323
+00:23:19,960 --> 00:23:22,780
+عليكم وواحد عليه من الشجرة التانية هدول بيصيروا
+
+324
+00:23:22,780 --> 00:23:27,020
+اللي متخيلينهم احنا تمام؟ تمام، اللي هو ال fourth
+
+325
+00:23:27,020 --> 00:23:29,740
+and the back faces ال fourth الأمامي و ال back
+
+326
+00:23:29,740 --> 00:23:33,500
+الخلفي شايفين الخيار الست أوجه الشباب؟ ييجي واحد
+
+327
+00:23:33,500 --> 00:23:36,540
+واحد طبعا في هذه الحلقة بقول هي التجارة هي اللي
+
+328
+00:23:36,540 --> 00:23:41,140
+عندي قانوني طبعا التكامل في الآخر بيروح لإنه E is
+
+329
+00:23:41,140 --> 00:23:44,300
+uniform لكن هاي قانوني في الآخر بيقول لي هاي التكامل 
+
+330
+00:23:44,300 --> 00:23:48,720
+في الآخر أكم فضح عندك إذا جسمه نفس التكاملات
+
+331
+00:23:48,720 --> 00:23:53,540
+بيصير عندك هاي التكامل ال Flux بسوء الأول للفئة
+
+332
+00:23:53,540 --> 00:23:58,140
+الأول E Dot DA الفئة الأول الأحمر الشباب الأحمر
+
+333
+00:23:58,140 --> 00:24:03,140
+التاني الأصفر الغامق، التالت الفجاني، الرابع
+
+334
+00:24:03,140 --> 00:24:07,940
+التحتاني الخامس اللي عليكم والسادس اللي على اللوح 
+
+335
+00:24:07,940 --> 00:24:11,940
+تمامًا وبده واحدة واحدة احنا وياكم نحسبها عشان احسب
+
+336
+00:24:11,940 --> 00:24:15,940
+E أطاقيا ولا ما أتاكشيا E أطاقيا ال direction تبعها
+
+337
+00:24:15,940 --> 00:24:21,100
+موجود ولا لا؟ Eالجد عاجيجي بتديرش لمن؟ لل A's أكم 
+
+338
+00:24:21,100 --> 00:24:27,120
+إيه عندك؟ ستة بدنا نطلع عليها واحد واحد أول واحد
+
+339
+00:24:27,120 --> 00:24:29,680
+اللي هو هذا الأحمر مين يقول لك إيه في اتجاه ال A
+
+340
+00:24:29,680 --> 00:24:34,940
+ليتبعته؟ يعني هيك الصح ولا .. الزاوية صفر، bravo 
+
+341
+00:24:34,940 --> 00:24:42,720
+عليكم واضحة؟ طيب، طب و هذا؟ اتجاهها هيك ولا ده؟ 
+
+342
+00:24:42,720 --> 00:24:49,340
+180 خلّيها طبعا لا كوساين الـ0، كوساين الـ180، ثالث
+
+343
+00:24:49,340 --> 00:24:54,080
+واحد طب نطلع على هذا برّا عليكم تسعين وكده كوساين
+
+344
+00:24:54,080 --> 00:25:01,320
+التسعين، إذا التالت إيش بتصير فيه تكامل؟ روح إيش 
+
+345
+00:25:01,320 --> 00:25:08,660
+اللي روحوا؟ كوساين كوساين التسعين، طب الرابع كيف إيه؟ لأ 
+
+346
+00:25:08,660 --> 00:25:13,720
+أسفل كدهش الزاوية؟ تسعين لأن هذا روح، صحيح أو
+
+347
+00:25:13,720 --> 00:25:17,580
+لا؟ نجي للخامس اللي على اللوح شايفينه؟ كيف 
+
+348
+00:25:17,580 --> 00:25:25,320
+اتجاهه؟ لدوة يعني هيك كدهش الزاوية؟ برضه صفر،
+
+349
+00:25:25,320 --> 00:25:32,120
+طيب، و هذا؟ عليكم يعني هيك برضه تسعين، إذا برضه 
+
+350
+00:25:32,120 --> 00:25:39,040
+هدول روحوا أكمت كام مرضاه؟ 2 هو عدنان يطول عصابيه
+
+351
+00:25:39,040 --> 00:25:44,770
+نتيجة Zero تمام؟ العملية بتير سهلة بيقول لي بعد ما
+
+352
+00:25:44,770 --> 00:25:47,990
+أنا بحكي الكلمتين اللي بتاوي حاكيناها بيقول the
+
+353
+00:25:47,990 --> 00:25:51,430
+flux through the unnumbered phases اللي هم ال 
+
+354
+00:25:51,430 --> 00:25:54,190
+fourth والباك تمام؟ اللي هو الخمس .. اللي .. اللي
+
+355
+00:25:54,190 --> 00:25:58,470
+خمسينية and three and four is zero ليش؟ because E
+
+356
+00:25:58,470 --> 00:26:01,410
+and DA are perpendicular لإن هم متعامدات الزائد و
+
+357
+00:26:01,410 --> 00:26:04,250
+تسعين درجة، مظبوط ولا .. إذا بيقول لي بل عندك
+
+358
+00:26:04,250 --> 00:26:08,830
+هاتينين هدول وبيقول لي هنا not the angle between E 
+
+359
+00:26:08,830 --> 00:26:16,100
+and DA is zero while the angle between E and DE2
+
+360
+00:26:16,100 --> 00:26:22,980
+180 درجة إذا برجع بقول imply that E dot EDA كوساين
+
+361
+00:26:22,980 --> 00:26:29,100
+صفر زي EDA2 كوساين 180 E dot EA minus E في A وكم 
+
+362
+00:26:29,100 --> 00:26:32,920
+جواب؟ Zero إذا طلع الجواب Zero تأكيد القعدة اللي
+
+363
+00:26:32,920 --> 00:26:36,780
+حاكيناها إذا عدد خطوط المجال الداخل بيساوي عدد 
+
+364
+00:26:36,780 --> 00:26:41,660
+خطوط المجال الخارجة إذا مافيش flux إذا السطح مغلق
+
+365
+00:26:42,310 --> 00:26:44,910
+كمان برد يعود أجول لازم يكون السطح مغلق إذا السطح 
+
+366
+00:26:44,910 --> 00:26:47,550
+مفتوح حد القاعدة مش موجودة أصلا لان البراد تدخل و
+
+367
+00:26:47,550 --> 00:26:52,290
+تخرج أصلا تمام في أي استفسار شباب كيف نحسب ال flux 
+
+368
+00:26
+
+401
+00:29:43,560 --> 00:29:47,740
+بتقع ثابت، مقبض؟ ده جا ثابت إيش بيساوي؟ 1 على ε0
+
+402
+00:29:49,910 --> 00:29:52,870
+تذكرين الفلكس مين الكورة جديد كده؟ كيو على إبسيلون نوت
+
+403
+00:29:52,870 --> 00:29:56,350
+ولا لا؟ طبّقه في المثال التابع الكورة واحد قالك
+
+404
+00:29:56,350 --> 00:29:59,850
+أوجد الفلكس بقوله في كيو واحدة هي كيو على إبسيلون نوت
+
+405
+00:29:59,850 --> 00:30:02,650
+طلع الجواب طب مايجينا الكيو؟ بدي أحله على قانون
+
+406
+00:30:02,650 --> 00:30:06,250
+جاوس الكيو بسطح مغلق أو بسطح مغلق؟ بسطح مغلق في
+
+407
+00:30:06,250 --> 00:30:10,710
+جوا كيو؟ قد ايش الفلكس؟ صفر خلص الجواب لذا لا بدي 
+
+408
+00:30:10,710 --> 00:30:14,870
+أجيب الست أوجه ولا حاجة ما زال السطح مغلق صار مدور
+
+409
+00:30:14,870 --> 00:30:19,710
+على الشحنات اللي جوا، إذا الشحنات جوا بحسبها مفيش 
+
+410
+00:30:19,710 --> 00:30:23,910
+شيء خلاص مغلب عليك ليش Zero الجواب تمام لما كنت 
+
+411
+00:30:23,910 --> 00:30:29,170
+مرة أجيب أسئلة أقول في عندك كرة كرة وديكم نسقطها
+
+412
+00:30:29,170 --> 00:30:36,490
+أربعة متر وأقولك هنا في شحنة Q وهذه ستة متر وأقول 
+
+413
+00:30:36,490 --> 00:30:39,090
+للشباب إذا ماكنتوا عارفين إن ال quiz كانت على
+
+414
+00:30:39,090 --> 00:30:42,470
+اللوحة أقول للشباب هي quiz يلا حلّوا إيش عمره 
+
+415
+00:30:42,470 --> 00:30:45,810
+الشباب خمس دقائق عشر دقائق مش راضي يخلص السؤال
+
+416
+00:30:45,810 --> 00:30:50,570
+الشباب خلص وهم بيحسبوا و ليش بتجيبونه بقص إن ال
+
+417
+00:30:50,570 --> 00:30:55,170
+flux بالساعة سفر على إبسيلون انه ما تلاقيش جواب خلاص هذا
+
+418
+00:30:55,170 --> 00:31:00,290
+هو هاي جوابهم إيش راح يسوّوا قالوا والله بدي إيه
+
+419
+00:31:00,290 --> 00:31:04,070
+هنا راح يحسبوا إيه طب كيف تحسب إيه هل هنا وهنا و
+
+420
+00:31:04,070 --> 00:31:09,220
+هنا وهنا واحدلأ في هذه الحالة يحسب إيه ويطلق ال
+
+421
+00:31:09,220 --> 00:31:14,560
+flux من القانون هذا تاعته مش هيعرض طيب القانون ده
+
+422
+00:31:14,560 --> 00:31:19,660
+ماشي اخذته عشان تطلع جوا في شحنات ولا فيش شحنات
+
+423
+00:31:19,660 --> 00:31:23,780
+فيش شحنات حفظ صفر خلاص إتخافش أهلك ما تزعلش 
+
+424
+00:31:27,730 --> 00:31:32,290
+خلاص برا مافيش شحنات مافيش شحنات إذا مافيش flux
+
+425
+00:31:32,290 --> 00:31:37,390
+هذا قانون جاوس .. هذا قانون جاوس .. إذا the
+
+426
+00:31:37,390 --> 00:31:43,240
+electric flux through any closed surface is equal
+
+427
+00:31:43,240 --> 00:31:46,820
+to the net charge inside. إيه اسم net charge؟ لو 
+
+428
+00:31:46,820 --> 00:31:50,280
+كان عندك شحنتين جوا، بدك إياهم، كنتين، ما زال جوا،
+
+429
+00:31:50,280 --> 00:31:52,820
+بدك تحسبهم، لو موجبة و سالبة، يتأجمحوا موجبة و 
+
+430
+00:31:52,820 --> 00:31:55,060
+سالب، مش absolute values، يعني لو كان عندك شحنة
+
+431
+00:31:55,060 --> 00:31:58,000
+موجبة و شحنة سالبة، يبقى سبّب وبعد جوا، بده سفر، لإن 
+
+432
+00:31:58,000 --> 00:32:02,780
+ممكن نت charge زيرو، تمام، يعني هي القانوني. Phi
+
+433
+00:32:02,780 --> 00:32:06,520
+بتساوي qn على إبسيلون نوت، دي أنا عارفه من أول،
+
+434
+00:32:06,520 --> 00:32:09,900
+qn على إبسيلون نوت، لما طلع جوز هيك، قال والله دي 
+
+435
+00:32:09,900 --> 00:32:15,590
+كان قانون حلو، لو قدرت أحسب هذه إيه الشطر الأول 
+
+436
+00:32:15,590 --> 00:32:18,150
+إيش كان مقلوب منّي أجيب شدّة المجال ولا لأ كان
+
+437
+00:32:18,150 --> 00:32:20,390
+مقلوب إنّي أجيب شدّة المجال جالس إن عندك قانون حلو
+
+438
+00:32:20,390 --> 00:32:24,790
+صار جيم هذه هيك صار عندك قانون جيد ممكن من هذه 
+
+439
+00:32:24,790 --> 00:32:28,970
+المعادلة تجيب إيه ولا مش ممكن ممكن بس الصعوبة وين 
+
+440
+00:32:28,970 --> 00:32:33,390
+إنك التكامل تعرف تجيبه صح ولا لأ لأن التكامل هذا
+
+441
+00:32:33,390 --> 00:32:37,230
+مفعّط اللي حضّرها دائماً هذه لأ إذا بدك تعرف تحل هذه 
+
+442
+00:32:37,230 --> 00:32:42,990
+المشكلة تمام، طبعاً هنا بقولك q in denotes the charge
+
+443
+00:32:42,990 --> 00:32:47,850
+inside the service كلمة in اختصار ل inside يعني
+
+444
+00:32:47,850 --> 00:32:51,410
+الشحنات اللي برا بدكم إياها بدّيش إياها بس ال
+
+445
+00:32:51,410 --> 00:32:55,170
+inside and the circle إذا أنتو شايفين هنا مش 
+
+446
+00:32:55,170 --> 00:33:00,490
+مبينة هنا في دائرة، ع التكامل طبعاً هذا تكامل بتلاقوه
+
+447
+00:33:00,490 --> 00:33:03,830
+لو طلعتوا أنتو على ال word مش في ال equations ..
+
+448
+00:33:03,830 --> 00:33:06,490
+equations .. لما تطلعوا على التكاملات فيه تكامل
+
+449
+00:33:06,490 --> 00:33:09,630
+هيك وفيه تكامل هيك بتلاقوه شغلها زي هيك فهذه أيها
+
+450
+00:33:09,630 --> 00:33:12,450
+معنى في الرياضيات هذه بيقول إن التكامل على سطح 
+
+451
+00:33:12,450 --> 00:33:16,050
+مغلق، طبعاً بالنسبالي إننا مش هنكامل تمام بس تذكر
+
+452
+00:33:16,050 --> 00:33:19,890
+أنه عشان يذكّرك إن قانون جاوس على سطح ماله مغلق
+
+453
+00:33:19,890 --> 00:33:23,850
+فبيقول إيه the circle in the integral sign
+
+454
+00:33:23,850 --> 00:33:26,450
+indicate that the integration is over a closed 
+
+455
+00:33:26,450 --> 00:33:29,610
+surface، بس عشان تتأكد وتعرف إن هذه الشكلة اللي 
+
+456
+00:33:29,610 --> 00:33:33,770
+موجودة مش خطأ مطبعي لأ لها معنى تمام؟ وهذا تكامل 
+
+457
+00:33:33,770 --> 00:33:39,990
+معروف في الرياضيات بقول زي ما احنا حاطين .. بدنا 
+
+458
+00:33:39,990 --> 00:33:42,570
+نشوف .. بقول let us verify .. هذه الـ B مش عارفة
+
+459
+00:33:42,570 --> 00:33:45,650
+منين جاها .. Gauss's law .. بدنا نشوف Gauss's law
+
+460
+00:33:45,650 --> 00:33:49,350
+كلامه صح ولا لأ .. بقول ال flux بيعتمد على ال Q .. 
+
+461
+00:33:49,350 --> 00:33:53,030
+يعني الشكل كبر ولا صغير بيبقى ليه فرق معايا .. صح
+
+462
+00:33:53,030 --> 00:33:55,770
+ولا لأ .. بقول let us verify Gauss's law by 
+
+463
+00:33:55,770 --> 00:33:58,030
+considering a positive point in charge Q
+
+464
+00:33:58,030 --> 00:34:01,890
+surrounded by two surfaces .. بدنا نشوف احنا شباب
+
+465
+00:34:01,890 --> 00:34:06,950
+أو حوتها بسطحين .. سطح حلو بعرفه كرة وسطح كرة أوجه
+
+466
+00:34:06,950 --> 00:34:10,170
+أروح أضعجها واحط السطح وبتجيب ال facts على
+
+467
+00:34:10,170 --> 00:34:13,650
+السطحين by two closed surfaces S1 is spherical
+
+468
+00:34:13,650 --> 00:34:19,450
+where is S2 is irregular معوجة هذه هي جاهزين S1؟
+
+469
+00:34:19,450 --> 00:34:25,670
+why S2؟ S2 معوجة جاب المعنى كل حاجة كم خط اخترق 
+
+470
+00:34:25,670 --> 00:34:30,810
+S1 الحلو ثمانية 
+
+471
+00:34:30,810 --> 00:34:35,540
+كم خط اخترق التاني للعوج ثمانية، إذا أنا بتوقّع نتين إنّه 
+
+472
+00:34:35,540 --> 00:34:40,140
+نفس ال flux ولا لأ نفس ال flux إذا صح الكلام إنّه
+
+473
+00:34:40,140 --> 00:34:45,040
+ما انهاش جاية بالشكل فبقول لي columns law tells us
+
+474
+00:34:45,040 --> 00:34:48,000
+that the magnitude of the electric field is
+
+475
+00:34:48,000 --> 00:34:52,600
+constant anywhere on the spherical surface and
+
+476
+00:34:52,600 --> 00:34:55,940
+given as هو مركز على أسطح الشباب أسطح القرى
+
+477
+00:34:55,940 --> 00:34:59,420
+واتفقنا إنّه إيه بتكون ثابتة عليه صح ولا لأ حلو
+
+478
+00:35:02,260 --> 00:35:06,740
+بما أنّ المجال باتجاه أصفر أختار بالنسبة للـ S1
+
+479
+00:35:06,740 --> 00:35:12,560
+نستطيع أنّ نتعامل الهواء من S1 بمعنى Phi بسوء E Dot 
+
+480
+00:35:12,560 --> 00:35:17,760
+دي إيه بما أنّ E ثابتة و Dot Product Zero إذا طلعت 
+
+481
+00:35:17,760 --> 00:35:22,110
+فادة جواب وعملناها وطلعت Q على إبسيلون نوت على أساس إن
+
+482
+00:35:22,110 --> 00:35:26,530
+كده بيساوي واحد على أربعة باي إبسيلون نوت بتوع منها تقريباً
+
+483
+00:35:26,530 --> 00:35:29,790
+صح ولا لأ الآن بيقول لي بيقول لي the figure shows
+
+484
+00:35:29,790 --> 00:35:34,550
+that the number of field lines crossing S1 is the
+
+485
+00:35:34,550 --> 00:35:38,170
+same as that lines crossing S2 ولا لأ الآن معناته
+
+486
+00:35:38,170 --> 00:35:40,090
+بيقول لي is that if the fluxes through the two
+
+487
+00:35:40,090 --> 00:35:44,950
+surfaces are equal and independent of their shapes
+
+488
+00:35:45,860 --> 00:35:50,780
+ما لهوش دعوة بالشكل زي ما لهوش دعوة بكبر أو صغر السطح، 
+
+489
+00:35:50,780 --> 00:35:54,100
+إذا ما لهوش دعوة بالسطح، هجيت لو جيت هذه الكورة
+
+490
+00:35:54,100 --> 00:35:57,820
+العوجة وحطيت محلها أسطوانة، ما لاقيتش ال Flex بتطلع، 
+
+491
+00:35:57,820 --> 00:36:01,860
+نفس القيمة لأنّ عدد خطوط المجال نفسها، إذا أنا صار
+
+492
+00:36:01,860 --> 00:36:04,600
+ال Flex بيعتمد على الشحنات اللي جوا، ما لهوش دعوة
+
+493
+00:36:04,600 --> 00:36:10,620
+بشكل السطح، وضع شباب تمت، 
+
+494
+00:36:10,620 --> 00:36:15,340
+طب قولوا لو كانت الكورة برا زي هيك جديد فتتوقّعوا 
+
+495
+00:36:15,340 --> 00:36:20,100
+الفلكس يكون على سطح الأصفر صفر لإن في شحنات جوا طب
+
+496
+00:36:20,100 --> 00:36:24,560
+نيجي نوصل خطوط مجال هي وصمة خطوط مجال طبعاً واحد
+
+497
+00:36:24,560 --> 00:36:27,040
+يقول قبل هو الخطوط في المجال هنا طبعاً في خط مجال
+
+498
+00:36:27,040 --> 00:36:31,970
+هيك في خط مجال هيك صح؟ أصفر؟ ما بيش دعوة فيهم، بيجي 
+
+499
+00:36:31,970 --> 00:36:35,890
+اللي بقتقوا الأصفر، في واحد منهم دخل وحرز وظلّ جوا،
+
+500
+00:36:35,890 --> 00:36:40,330
+لازم يطلع، إذا لو كانت الشحنة برا، الخط اللي داخل 
+
+501
+00:36:40,330 --> 00:36:43,170
+لازم يخرج، عشان كده ال electric flux لازم يكون
+
+502
+00:36:43,170 --> 00:36:46,550
+قد ايش؟ Zero، وهذا منطقي، إذا لما يكون ما فيش جوا
+
+503
+00:36:46,550 --> 00:36:50,910
+شحنات، اتفقنا قد ايش ال flux؟ Zero، برضه، لأن Q in
+
+504
+00:36:50,910 --> 00:36:54,070
+Zero، لأنّ عضل السطح مغلق، وبالتالي قانون جاوس 
+
+505
+00:36:54,070 --> 00:36:59,470
+ينطبق، طيب، زي ما احنا اتفقنا قانون جاوس صار عامل
+
+506
+00:36:59,470 --> 00:36:59,810
+هيك،
+
+507
+00:37:06,110 --> 00:37:10,850
+هي قانون جاوس هلاّ أما هو بيقول لي احسب ال flux أو 
+
+508
+00:37:10,850 --> 00:37:14,190
+بيقول لي احسب المجال الكهربائي إذا بدي أحسب ال flux
+
+509
+00:37:14,190 --> 00:37:17,390
+بأتو أما أجيب هذا المكان أو هذا المكان صح ولا لأ
+
+510
+00:37:17,390 --> 00:37:20,530
+إذا بدي المجال الكهربائي هذا بيلزمّني أنا بيلزمّني
+
+511
+00:37:20,530 --> 00:37:24,030
+هذا وهذا لإنّي إيه بيقول لي إيش فجد قانون جاوس
+
+512
+00:37:24,030 --> 00:37:29,250
+عشان احسب ال flux علمياً وفيزيائياً الفلكس ما لهوش قيمة
+
+513
+00:37:29,250 --> 00:37:34,070
+كتير ذات قيمة اللي له قيمة شدّة المجال الكهربائي
+
+514
+00:37:34,070 --> 00:37:37,330
+إذا بيقول لي the practical utility of gauss's law
+
+515
+00:37:37,330 --> 00:37:41,530
+وين أنا بستفيد من gauss's law؟ إيش هي فائدته العملية؟
+
+516
+00:37:41,750 --> 00:37:46,370
+Lies largely in providing a smart way هو إنّه
+
+517
+00:37:46,370 --> 00:37:51,170
+بيدّيني smart way طريقة كتير سلسة وذكية to
+
+518
+00:37:51,170 --> 00:37:54,890
+evaluate the electric field for a charge
+
+519
+00:37:54,890 --> 00:37:58,370
+distribution. لذَنّ هو بيخلّيني أحسب شدّة المجال وهي 
+
+520
+00:37:58,370 --> 00:38:01,970
+فائدة قانون جاوس الشباب إنّه بيخلّيني أحسب شدّة المجال 
+
+521
+00:38:01,970 --> 00:38:04,490
+بدّيش أنا أجيب ال flux أنا ال flux بأجيبه عشان بس 
+
+522
+00:38:04,490 --> 00:38:08,070
+أشوف الطالب فاهم الموضوع ولا لأ بس في الشغل
+
+523
+00:38:08,070 --> 00:38:12,670
+العملي فاجت قانون gauss إنّه بيعطيني شدّة المجال
+
+524
+00:38:12,670 --> 00:38:17,570
+الكهربائي طيب كيف بدّي أحسبها for this way to be as
+
+525
+00:38:17,570 --> 00:38:20,650
+easy as possible كيف بدّي أحسبها بقولك عشان تكون
+
+526
+00:38:20,650 --> 00:38:23,310
+عملية سهلة لإنّ وين الصعوبة بقول التكامل هذا ده 
+
+527
+00:38:23,310 --> 00:38:27,030
+ببارك أشهر من التكامل لإنّ التكامل هذا صعب سألني 
+
+528
+00:38:27,030 --> 00:38:30,150
+عماد كيف بدّي أجيب علاقة من اي و دي اي صح ولا لا
+
+529
+00:38:30,150 --> 00:38:34,050
+عشان أكامل فالعمليّة مش سهلة بدّي علاقات وشغلات
+
+530
+00:38:34,050 --> 00:38:39,330
+كتيرة بقول العمليّة سهلة for this way to be as easy
+
+531
+00:38:39,330 --> 00:38:42,330
+as possible we must be able to choose a
+
+532
+00:38:42,330 --> 00:38:45,810
+hypothetical a closed surface سُمّوه Gaussian 
+
+533
+00:38:45,810 --> 00:38:51,630
+surface Gauss إيش بقول بقول على أي سطح مغلق لأي 
+
+534
+00:38:51,630 --> 00:38:55,070
+سطح مغلق أي سطح مغلق الفكس اللي بيساوي qn على ε نوت
+
+535
+00:38:55,070 --> 00:38:58,990
+مش هي قانونه مثلاً أي سطح مغلق طب هو أنا يضرّني أحد 
+
+536
+00:38:58,990 --> 00:39:02,350
+على سطح معيّن لأ، قالت، طب إذا أنا أختار أنت سطح 
+
+537
+00:39:02,350 --> 00:39:07,890
+حلو، يمكنك تعمل التكامل بسهولة، ما زال جالك أي سطح
+
+538
+00:39:07,890 --> 00:39:12,410
+مغلق، إدّاك أنت الحرية في اختيار السطح، إذا أنا كم
+
+539
+00:39:12,410 --> 00:39:18,190
+بدّي أنا أوظّف هذه الحرية، إنّه يخلي شغلي سهل، صحيح
+
+540
+00:39:18,190 --> 00:39:21,790
+ولا لأ؟ تمام، هذا بيقولك إذا بقيت تختار أنت سطح 
+
+541
+00:39:21,790 --> 00:39:24,870
+مغلق، أنت بقيت تختاره، والسطح المغلق بيكون وهمي 
+
+542
+00:39:24,870 --> 00:39:28,770
+شباب، سُمّوه Gaussian Surface، السطح Gauss، عشان 
+
+543
+00:39:28,770 --> 00:39:33,050
+قانون Gauss، متسمّى hypothetical closed surface صفح
+
+544
+00:39:33,050 --> 00:39:37,930
+وهمي يسمّى Gaussian Surface Such that the electric
+
+545
+00:39:37,930 --> 00:39:41,330
+field over its surface is constant إذا بيتختاروا 
+
+546
+00:39:41,330 --> 00:39:44,310
+بحيث إنّ المجال الكهربائي يكون ثابت عليه ليش؟ بقولك
+
+547
+00:39:44,310 --> 00:39:49,240
+عشان تطلع حداّ برا مش أنا صعبتي في التكامل؟ لما هذا
+
+548
+00:39:49,240 --> 00:39:52,620
+تقدر تطلع برا، بدّك علاقة بين E و A، تفضّل أنّك بدّك 
+
+549
+00:39:52,620 --> 00:39:55,640
+علاقة بين E و A، بس بشرط إنّ يكون .. وكده يبقى تطلع
+
+550
+00:39:55,640 --> 00:39:59,980
+برا، لما يكون ثابت، إذا اختار السطح، ال E بيكون 
+
+551
+00:39:59,980 --> 00:40:05,280
+ثابت عليه، إذا أنا هجيت القانون بيقول لي اه سطح 
+
+552
+00:40:05,280 --> 00:40:09,240
+مغلق الحرية هذه بدّي أوظّفها إنّي أختار السطح
+
+553
+00:40:09,240 --> 00:40:15,080
+المغلق حقّق إنّ شرط واحد إنّه يكون constant عليه بوضع
+
+554
+00:40:15,080 --> 00:40:18,360
+شباب هاي اللي بدّي إياها أكتر من كده ما بدّيش إذا الهدف 
+
+555
+00:40:18,360 --> 00:40:22,420
+ثابت بقدر أحل لإنّ qn بدّي يبقى بالروضة ما بيقول لي qn
+
+556
+00:40:22,420 --> 00:40:25,660
+قد ايش ما بيقول لي شوف يوش عناد فيه ولا لأ فشي بيقولك 
+
+557
+00:40:25,660 --> 00:40:28,720
+فشي فيه بيقولك في كنتين وتلاتة وغير قايمة بتهشّ
+
+558
+00:40:28,720 --> 00:40:32,970
+شطارة صح ولا لأ لو اخترته ما بتعرف مساحته سهلة و
+
+559
+00:40:32,970 --> 00:40:36,370
+إبسيلون نوت كلها عارفينها ساعتها بأجيب إيه صح ولا
+
+560
+00:40:36,370 --> 00:40:39,830
+لأ because العملية صارت سهلة بس يقشّنوا الصعوبة
+
+561
+00:40:39,830 --> 00:40:44,930
+بيقول لي طب هذا دائماً الشغلة ممكنة بيقول لي this can't
+
+562
+00:40:44,930 --> 00:40:49,110
+be attained وهذه الشغلة فقط ممكن تحصل عليها if the
+
+563
+00:40:49,110 --> 00:40:53,310
+following remarks are satisfied وهذه ما بتحصلش مع
+
+564
+00:40:53,310 --> 00:40:57,350
+الأسف دائماً الشيء ما بتحصلش إنّك تختار سطح إيه يكون
+
+565
+00:40:57,350 --> 00:41:01,830
+ثابت عليه، إيه يكون ثابت على سطح أنت تختاره أي إنّ
+
+566
+00:41:01,830 --> 00:41:06,590
+كان مش دائماً بيكون ممكن إذا في عندك قيود في إنّك 
+
+567
+00:41:06,590 --> 00:41:09,570
+كيف تحلّ الأسئلة وهذه
+
+601
+00:43:28,290 --> 00:43:32,030
+أنت هنا من هنا ولا من هنا ما فيش مشكلة أنت هنا
+
+602
+00:43:32,030 --> 00:43:35,290
+بتصير عند عالمك مشكلة ليش بنوصف خطوط مجال على 
+
+603
+00:43:35,290 --> 00:43:39,750
+اللحن شباب مشعون خط مجال اللي بيقول عليكم طب من
+
+604
+00:43:39,750 --> 00:43:43,410
+هنا برضه خط مجال اللي بيقول عليكم طب من هنا وهكذا
+
+605
+00:43:43,410 --> 00:43:46,770
+طب من هنا هيك كل خطوط متوازية طب تشوفوا أن الطرف
+
+606
+00:43:46,770 --> 00:43:49,890
+هذا بصير مشحون من هنا هيك ومن هنا هيك ورايح هيك
+
+607
+00:43:49,890 --> 00:43:53,080
+ورايح هيك إذا خطوط متوازية إيش بتحلها
+
+608
+00:43:53,080 --> 00:43:56,340
+ويقولها ده كبير اعتبره كبير أنت مش شايفه ذاكرين
+
+609
+00:43:56,340 --> 00:43:59,820
+يقولنا النملة وعلى رعر اللي هو الفيل خلاص الفيل
+
+610
+00:43:59,820 --> 00:44:04,340
+بالنسبة للنملة شايفة حدوده مش شايفة حدوده إذا
+
+611
+00:44:04,340 --> 00:44:08,520
+بالنسبة لها تعتبره أنه لو أنه مشحون الفيل خطوط
+
+612
+00:44:08,520 --> 00:44:11,120
+متوازية تطلع على النملة هي خطوط متوازية طالعة فوق
+
+613
+00:44:11,500 --> 00:44:15,700
+إذن هو Uniform بس ابعد عن الأطراف تمام؟ إذا أنا
+
+614
+00:44:15,700 --> 00:44:18,360
+عندي الأشكال الوحيدة اللي بينطبق عليها قانون Gauss
+
+615
+00:44:18,360 --> 00:44:22,220
+عشان أحسب شدة المجال هي الأشكال الثلاث الوحيدة
+
+616
+00:44:22,220 --> 00:44:26,420
+Cylindrical بغض النظر عن حجمه with infinite
+
+617
+00:44:26,420 --> 00:44:32,160
+length and Plane سطح with infinite extents أبعاده
+
+618
+00:44:32,160 --> 00:44:37,070
+كبيرة infinite أبعاده بعيدة قوي عني موضح يا شباب؟
+
+619
+00:44:37,070 --> 00:44:40,630
+إذا لو قال لي أحسب شدة المجال الكهربائي باستخدام
+
+620
+00:44:40,630 --> 00:44:43,010
+قانون Gauss أول حاجة بتطلع عليها بتطلع على الشكل
+
+621
+00:44:43,860 --> 00:44:46,860
+المشحون إذا الشكل المشحون مش واحد من الثلاث هدول
+
+622
+00:44:46,860 --> 00:44:49,900
+بقول قانون Gauss من أول يوم بلاش الطبق ما ينفعش أطبقه
+
+623
+00:44:49,900 --> 00:44:54,000
+لأنه ممكن أختار سطح مغلق يكون His consent عليه
+
+624
+00:44:54,000 --> 00:44:57,260
+وقعدنا واحدة واحدة وبيشوف إن هذا كلام صحيح ولا لأ
+
+625
+00:44:57,260 --> 00:45:01,180
+تمام هذه أول خطوة بدي أشوف الشكل اللي هينطبق عليه
+
+626
+00:45:01,180 --> 00:45:04,460
+قانون Gauss ولا لأ بداية لإن هو بيقول أوجد شدة
+
+627
+00:45:04,460 --> 00:45:09,300
+المجال هيك على الهواء ولا بيقولك فيه شكل مشحون فيه
+
+628
+00:45:09,300 --> 00:45:12,300
+شكل مشحون وشكل مشحون بتطلع عليه هل واحد من الثلاث
+
+629
+00:45:12,300 --> 00:45:16,280
+هدول ولا لأ يعني مثلا الـRod ذاكرينه الـRod كان
+
+630
+00:45:16,280 --> 00:45:19,920
+قصير ما ينفعش قانون Gauss عليه إذا جالك Infinite Rod
+
+631
+00:45:19,920 --> 00:45:26,240
+ما أقدرش أطبقه عليه فهمتوا عليها الـRing بينفع الـ
+
+632
+00:45:26,240 --> 00:45:34,380
+Ring مش قسم السطح الـRing مش كرة لا ينطبق عليها
+
+633
+00:45:34,380 --> 00:45:40,740
+قانون Gauss هذه Ring مش كرة الـDisk مش تحت شرط واحد
+
+634
+00:45:40,740 --> 00:45:45,560
+إن الـDisk يكون كبير ذاكرينه لما جبناها طلعناها
+
+635
+00:45:45,560 --> 00:45:49,180
+إذا الـDisk كبير بقول اه بطبق عليه قانون Gauss لكن
+
+636
+00:45:49,180 --> 00:45:52,380
+الـDisk صغير بقوله لا قانون Gauss لا ينطبق فاهمين
+
+637
+00:45:52,380 --> 00:45:53,580
+شباب تمام
+
+638
+00:45:57,880 --> 00:46:03,360
+لأ مش مغلق أنت بدك تختار سطح مغلق لأ السطح اللي
+
+639
+00:46:03,360 --> 00:46:09,120
+بده يكون مغلق مش الجسم المشحون هذا جسم مشحون أنت
+
+640
+00:46:09,120 --> 00:46:12,040
+بده تجيب فيه بيت المجال تختار سطح اللي برضه تجيب
+
+641
+00:46:12,040 --> 00:46:18,140
+السطح اللي بده يكون مغلق فأنت عليا؟ واحدة واحدة لأ
+
+642
+00:46:18,140 --> 00:46:22,080
+لأ واحدة واحدة شوية If you sit in a circus سطح
+
+643
+00:46:22,080 --> 00:46:26,210
+جاهز هذا اللي بده يكون مغلق قانون الجاوسي يجب أن
+
+644
+00:46:26,210 --> 00:46:26,970
+يكون مرتبطًا بنفسه بشكل نفسه بشكل نفسه بشكل نفسه
+
+645
+00:46:26,970 --> 00:46:29,550
+بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه
+
+646
+00:46:29,550 --> 00:46:30,630
+بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه
+
+647
+00:46:30,630 --> 00:46:30,790
+بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه
+
+648
+00:46:30,790 --> 00:46:31,190
+بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه
+
+649
+00:46:31,190 --> 00:46:33,550
+بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه
+
+650
+00:46:33,550 --> 00:46:44,090
+بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه بشكل نفسه
+
+651
+00:46:44,090 --> 00:46:47,010
+بشكل
+
+652
+00:46:48,180 --> 00:46:51,220
+اختياري وهمي أنت ممكن تختاره .. ممكن ممكن تختاره
+
+653
+00:46:51,220 --> 00:46:55,820
+شرطه أن يكون E Constant مظبوط أو لا عشان E يكون
+
+654
+00:46:55,820 --> 00:47:00,100
+Constant بيكون لازم يكون له نفس الشكل زي جسم
+
+655
+00:47:00,100 --> 00:47:04,720
+المشحون طب هو الجسم المشحون كم نوع؟ الجسم المشحون
+
+656
+00:47:04,720 --> 00:47:09,920
+كم نوع عندك؟ ثلاثة؟ إذا معناته سطح Gauss بيكون عندك
+
+657
+00:47:09,920 --> 00:47:14,560
+ثلاثة أنواع إذا الجسم المشحون كروي سطح Gauss إيش
+
+658
+00:47:14,560 --> 00:47:21,740
+بيكون؟ كرة إذا الجسم المشحون سلندر إيش السطح
+
+659
+00:47:21,740 --> 00:47:26,420
+المغلق؟ سلندر أو سلندر مغلق أو مغلقة؟ تمام طب وإذا
+
+660
+00:47:26,420 --> 00:47:31,960
+Plane إيش أسوي؟ Plane يعني ورقة ولا لأ؟ قولي إيش
+
+661
+00:47:31,960 --> 00:47:36,480
+الورقة دي جزء من إيش يا الورقة؟ حط لك عشان الورقة
+
+662
+00:47:36,480 --> 00:47:41,480
+تفوق بعد إيه يا صار؟ أو متوازي مستطيلات الورقة مش
+
+663
+00:47:41,480 --> 00:47:44,700
+مغلقة لكن متوازي مستطيلات إذا السطح يبقى متوازي
+
+664
+00:47:44,700 --> 00:47:48,100
+مستطيلات طب هذه أنت قلت لي ورقة وإيش عرفك أنها ورقة
+
+665
+00:47:48,100 --> 00:47:52,280
+أنت بتقولي كبيرة صح بتعرفي أنها ورقة أنت شايفها
+
+666
+00:47:52,280 --> 00:47:56,800
+أنت شايف حدودها طب ممكن تكون This كلها مش ممكن ممكن
+
+667
+00:47:56,800 --> 00:47:58,820
+تكون Disk حط لك عشان الـDisks فوق بعدي إيش
+
+668
+00:47:58,820 --> 00:48:04,000
+شرط؟ رجعت الصوانة إذا أنت الـ الـ الـ
+
+669
+00:48:04,000 --> 00:48:07,320
+سطح Gauss بيكون إما كرة أو أسطوانة أو متوازي ..
+
+670
+00:48:07,320 --> 00:48:09,820
+متوازي مستطيلات أو أسطوانة طب بتتكلم منه متوازي
+
+671
+00:48:09,820 --> 00:48:12,280
+مستطيلات يتغلب عليك ليش؟ إذا في عندك بس شكلين
+
+672
+00:48:12,280 --> 00:48:15,880
+.. لأ كرة .. لأ متوازي مستطيلات ليش شردت من
+
+673
+00:48:15,880 --> 00:48:18,260
+متوازي مستطيلات؟ بقوله متوازي مستطيلات ده كان
+
+674
+00:48:18,260 --> 00:48:23,530
+سطح حلو وليه الصوانة؟ طب مين أسألي؟ الثالث إذا
+
+675
+00:48:23,530 --> 00:48:27,050
+فأنت كمان مستطيل ولا دائرة فشوف دعوة فيه بما أنه
+
+676
+00:48:27,050 --> 00:48:33,610
+الـPlane ما أنتاش عارفه مستطيل ولا دائرة لأنك أنت
+
+677
+00:48:33,610 --> 00:48:36,330
+مش حاجة تشوف حدوده مش حاجة تشوف حدوده فاعتبره
+
+678
+00:48:36,330 --> 00:48:39,650
+Disk إذا أنا عندي سطح Gauss بدي أختاره من يوم
+
+679
+00:48:39,650 --> 00:48:45,110
+مطالع بس إما كرة أو أسطوانة بس هذا الشيء بيعمل
+
+680
+00:48:45,110 --> 00:48:49,130
+يبسهيل علينا يعني الشغل مش هنتوه أنا أول عندي ثلاث
+
+681
+00:48:49,130 --> 00:48:52,710
+أشكال بتطبق عليهم بتطلع عليهم فيه؟ فيه ما فيش شي
+
+682
+00:48:52,710 --> 00:48:57,010
+ما أقدرش أحل الشغل الثالث بيختار سطح الـ سطح لا كرة
+
+683
+00:48:57,010 --> 00:49:00,870
+لا أسطوانة إذا الشكل الكروي سهمنا إيش بتكون
+
+684
+00:49:00,870 --> 00:49:04,770
+السطحية اللي بتيجيها تستخدموها؟ إذا كان سلندر أو
+
+685
+00:49:04,770 --> 00:49:11,050
+Plane رجل جيب سلندر عملية سيئة طيب هاي تاني خطوة
+
+686
+00:49:11,050 --> 00:49:15,980
+نعملها بقول لي The point at which E is to be
+
+687
+00:49:15,980 --> 00:49:18,760
+evaluated should lie on the Gaussian surface بقول
+
+688
+00:49:18,760 --> 00:49:21,420
+لي أنت بدك تحسب شدة المجال مش اتفقنا من السطر
+
+689
+00:49:21,420 --> 00:49:25,080
+الأول لما يقولك أوجد شدة المجال مش بتقوله وين مش
+
+690
+00:49:25,080 --> 00:49:28,460
+بتقوله وين إذا بيقولك وين طب وأنت دقطة بيقول لي
+
+691
+00:49:28,460 --> 00:49:30,200
+سطح Gauss اللي بدك تختاره لازم النقطة هاي تكون
+
+692
+00:49:30,200 --> 00:49:32,720
+واقعة عليه لأن من الصحيح أن أنت بدك تجيب شدة
+
+693
+00:49:32,720 --> 00:49:35,240
+المجال هنا وتبقى تعمل لي سطح Gauss هيك طب ما أنت هو
+
+694
+00:49:35,240 --> 00:49:38,100
+رايح أنت هنا بدك أنت إيه؟ ما تكش إيه هنا أنت بدك
+
+695
+00:49:38,100 --> 00:49:41,290
+إيه هنا إن السطح Gauss بيكون هيك لازم تكون النقطة
+
+696
+00:49:41,290 --> 00:49:45,210
+وين عليه وبرضه هذا كله الشغلات بنصح بظهر هنطبق
+
+697
+00:49:45,210 --> 00:49:48,370
+عليها وواحدة واحدة هنرجعلها The point at which E
+
+698
+00:49:48,370 --> 00:49:50,970
+is to be evaluated should lie on the Gaussian
+
+699
+00:49:50,970 --> 00:49:54,450
+surface سطح Gaussian اللي بدك تختاره بيكون عشوائي
+
+700
+00:49:54,450 --> 00:49:58,490
+بيكون نقطة عليه طب حينه بيقول لي بعد هذا الكلام إيه
+
+701
+00:49:58,490 --> 00:50:02,030
+يشتغل بيقول لي إذا كانت E is parallel to the surface
+
+702
+00:50:02,030 --> 00:50:05,470
+E is parallel to the surface والـArea عمودية جد ايش
+
+703
+00:50:05,470 --> 00:50:11,270
+الزاوية بصير 90 إيش بتطلع التكامل؟ إذا E موجودة
+
+704
+00:50:11,270 --> 00:50:15,490
+في الجسم أو إذا E موجودة في كل جسم أو إذا E موجودة
+
+705
+00:50:15,490 --> 00:50:15,770
+في كل جسم أو إذا E موجودة في كل جسم أو إذا E
+
+706
+00:50:15,770 --> 00:50:16,710
+موجودة في كل جسم أو إذا E موجودة في كل جسم أو إذا
+
+707
+00:50:16,710 --> 00:50:17,310
+E موجودة في كل جسم أو إذا E موجودة في كل جسم أو
+
+708
+00:50:17,310 --> 00:50:17,350
+إذا E موجودة في كل جسم أو إذا E موجودة في كل جسم
+
+709
+00:50:17,350 --> 00:50:17,450
+أو إذا E موجودة في كل جسم أو إذا E موجودة في كل
+
+710
+00:50:17,450 --> 00:50:24,050
+في كل جسم أو إذا E موجودة في كل جسم أو إذا E
+
+711
+00:50:24,050 --> 00:50:30,080
+موجودة في كل جسم أو إذا E موجودة في كل At every
+
+712
+00:50:30,080 --> 00:50:33,600
+point and since E is constant هو تنساش أن أنت
+
+713
+00:50:33,600 --> 00:50:36,320
+اختارت السطح بحس أن E is constant عليه ولا لأ من
+
+714
+00:50:36,320 --> 00:50:42,220
+أول فـE is constant إذا سلام دقان حلو E في E بتساوي
+
+715
+00:50:42,220 --> 00:50:47,260
+Qin على Epsilon Note صح تقدر تجيب E إجابة E هذه في
+
+716
+00:50:47,260 --> 00:50:53,800
+الآخر بتساوي الـQin على Epsilon Note طبعا هو ده دايمًا
+
+717
+00:50:53,800 --> 00:50:56,900
+بيقول يطبق قانون Gauss على شغل حلو وأنت بتعرفها
+
+718
+00:50:56,900 --> 00:51:00,040
+Pointy Charge الـPointy Charge بتعرف تجيبها في
+
+719
+00:51:00,040 --> 00:51:04,660
+قانون غير قانون Gauss قانون إيش؟ جد ايش بيطلع الجواب
+
+720
+00:51:04,660 --> 00:51:09,420
+KQ على R تربيع زيها قانون بتشتغلها قانونية طريقة
+
+721
+00:51:09,420 --> 00:51:14,530
+قانون Gauss اه موجه من معايير حالي بتشوف الشغل اللي
+
+722
+00:51:14,530 --> 00:51:16,990
+بعرفه هطلع نفسي جواب ولا لأ وأنت مين اللي هيجد على
+
+723
+00:51:16,990 --> 00:51:20,310
+حكاية المغلق ومش المغلق تمام بيقول في هاي الـPoint
+
+724
+00:51:20,310 --> 00:51:24,610
+صح ولا لأ هجيت أول حاجة بتطلع على الـPoint هذه هل
+
+725
+00:51:24,610 --> 00:51:28,510
+هي أحد الأشكال الثلاث اللي مرت علينا الـPoint كرة
+
+726
+00:51:28,510 --> 00:51:33,920
+ولا مش كرة ليش الـPoint مش كرة ونص خطرة سفر ما هي
+
+727
+00:51:33,920 --> 00:51:38,460
+كرة؟ بس كرة صغيرة صح أو لا؟ هي Pointy شاش كرة إذا
+
+728
+00:51:38,460 --> 00:51:42,300
+هي أهم من أشكال صح فينطبق عليها قانون Gauss كما
+
+729
+00:51:42,300 --> 00:51:47,220
+هيك وبدّه شدة المجال عند النقطة هذه هاي المطلوب
+
+730
+00:51:47,220 --> 00:51:52,460
+تمام شباب كيف ندخل؟ طبعا هذه سؤال كثير هي سهل أول
+
+731
+00:51:52,460 --> 00:51:57,980
+حاجة الجسم المشحون الشكل النقطة كروية ولا مش
+
+732
+00:51:57,980 --> 00:52:02,080
+كروية .. كروية جالي كروي أو أسطواني طويل أو
+
+733
+00:52:02,080 --> 00:52:07,060
+Plane كبير كروي وكروي جالي صغير أو كبير تفرج طب
+
+734
+00:52:07,060 --> 00:52:12,320
+هذه Point كرة صغيرة ينطبق عليها قانون Gauss شمرنا وبنبدأ
+
+735
+00:52:12,320 --> 00:52:15,960
+ونبدأ الخطوة التالية بدي اختار سطح Gauss
+
+736
+00:52:15,960 --> 00:52:21,920
+أختار سطح Gauss أنا بدي أختار وهمي لازم يكون كروي
+
+737
+00:52:21,920 --> 00:52:25,680
+لأن الشكل المشحون هو كروي وكل سطح Gauss لازم
+
+738
+00:52:25,680 --> 00:52:28,560
+يكونوا نفس الـSymmetry تبع الجسم المشحون تمام
+
+739
+00:52:28,560 --> 00:52:32,360
+بيقول Solution since the charge distribution is
+
+740
+00:52:32,360 --> 00:52:36,800
+spherical عشان الجسم المشحون كروي We choose the
+
+741
+00:52:36,800 --> 00:52:41,800
+Gaussian surface as a sphere of radius a هي السطح
+
+742
+00:52:43,820 --> 00:52:46,580
+هيجي مين النقطة؟ شايفين وينها؟
+بينفع أختار سطح
+
+743
+00:52:46,580 --> 00:52:50,880
+أكبر من كده أو أصغر؟ لا وإلا إذا كان أكبر أو أصغر
+
+744
+00:52:50,880 --> 00:52:54,120
+الشرط إنه بيكون عليه بـBattle round شايفين أنا
+
+745
+00:52:54,120 --> 00:52:57,220
+ليش حاططها مجد؟ عشان أعرف إنه هذا وهمي أنا اللي
+
+746
+00:52:57,220 --> 00:53:01,860
+اختارته خيالي هذا السطح خيالي على طول الـFlux
+
+747
+00:53:01,860 --> 00:53:06,280
+بيقول لي إن الـFlux عليه لازم يساوي Qin على Epsilon
+
+748
+00:53:06,280 --> 00:53:09,080
+نقطة إن السطح مغلق الجسم اللي بيشحونه ليش ده أوي
+
+749
+00:53:09,080 --> 00:53:11,200
+فيه مغلق أو مفتوح أنا بيقول إن السطح اللي اختارته
+
+750
+00:53:11,200 --> 00:53:15,480
+يكون مغلق لأن أنا بدي Flux عليه حلو فأنا السطح
+
+751
+00:53:15,480 --> 00:53:20,820
+اخترته هيجيب فيه شباب أنا اخترت هذا السطح عشان أأمن
+
+752
+00:53:20,820 --> 00:53:25,980
+إيش شرطي اللي إيه إيش تكون ثابتة تطلعها على السطح
+
+753
+00:53:25,980 --> 00:53:31,640
+ننجط إيه بيكون ثابت عليه ولا لا ليش تطلع عليها من
+
+754
+00:53:31,640 --> 00:53:36,680
+وين جاية إيه من وين جاية من وين جاية من الشحنة طب
+
+755
+00:53:36,680 --> 00:53:40,800
+وأنت تطلع نقماش عنه كل النقط في إيه فإنه عندنا
+
+756
+00:53:40,800 --> 00:53:45,100
+نقطة أكبر من نقطة تانية نقابل المجال تهادي ثابتة
+
+757
+00:53:45,100 --> 00:53:48,940
+ولا مش ثابتة ثابتة إذا أنا لما اشتغلت صح شباب
+
+758
+00:53:48,940 --> 00:53:56,280
+اختلطت سطح Gauss كروي النقطة عليه أمنت أن E ثابتة
+
+759
+00:53:56,280 --> 00:54:00,400
+وأنا هال بديها هاي شرطي إن زي هذا صح نحل السؤال
+
+760
+00:54:01,670 --> 00:54:04,510
+بقول الآن هذا الجوز الـ سيطرة في الشريفين اللي هو
+
+761
+00:54:04,510 --> 00:54:07,990
+المعروف اللي إحنا عارفينه هي قانون Gauss E dot dA
+
+762
+00:54:07,990 --> 00:54:12,030
+بيساوي Qin على Epsilon نوت بقول It is clear that E
+
+763
+00:54:12,030 --> 00:54:16,970
+and dA are parallel صح E وإيه نفس الاتجاه ولا لأ
+
+764
+00:54:16,970 --> 00:54:20,730
+يعني عشان Dot الوضع هيك تقرأ في الراحة and E is
+
+765
+00:54:20,730 --> 00:54:23,690
+Constant over the surface وE ثابتة على الـSurface
+
+766
+00:54:23,690 --> 00:54:27,790
+مأمنين يا شباب؟ E ثابتة طول ما أنا ماشي هيك أنا
+
+767
+00:54:27,790 --> 00:54:31,990
+على أبعاد متساوية من الشحنة إذا E هنا وهنا وهنا
+
+768
+00:54:31,990 --> 00:54:36,030
+وهنا وهنا وهنا وهنا كل واحد هيجيني إيه؟ و
+
+769
+00:54:36,030 --> 00:54:41,990
+هاي إيه؟ وإيه إيه من هنا؟ برضه هيك هنا هاي إيه؟
+
+770
+00:54:41,990 --> 00:54:47,090
+وين؟ وهاي إيه؟ إذا دائمًا E وE ما بينهم Parallel و
+
+771
+00:54:47,090 --> 00:54:51,930
+E ثابتة على كل السطح تمام إذا بيصير عندي قانون
+
+772
+00:54:51,930 --> 00:55:00,1
+
+801
+00:57:11,600 --> 00:57:15,780
+بعدين ring أصغر و أصغر و أصغر لما تتكمل التقرية
+
+802
+00:57:15,780 --> 00:57:19,720
+التانية صح أو لا؟ طب لل ring أنا بعرف بس ال ring 
+
+803
+00:57:19,720 --> 00:57:22,640
+أنا بعرف لشغل واحدة أنه لو كانت النقطة بالظبط على
+
+804
+00:57:22,640 --> 00:57:26,440
+ال axis لو شلجت النقطة و ما عرفش مقعده تحله صعب
+
+805
+00:57:26,440 --> 00:57:30,820
+كتير جاوس قال لي هذا لو بيحله بدون جاوس بدك ثلاث
+
+806
+00:57:30,820 --> 00:57:35,360
+صفحات و بدك ثلاث صفحات يكون عندك مهارة calculus 
+
+807
+00:57:35,360 --> 00:57:40,900
+عالية بتكفيكش calculus بيه بدك advanced calculus
+
+808
+00:57:40,900 --> 00:57:44,560
+عشان تعرف تحلوه و بدك صفحتين تلاتة جاوس حل لك إياه
+
+809
+00:57:44,560 --> 00:57:49,700
+بسط سطر واحد حلو يعني احنا في ال .. في المساقات
+
+810
+00:57:49,700 --> 00:57:52,500
+المتقدمة في سنة تلتة بنديهم مساق مشابق بنقولهم 
+
+811
+00:57:52,500 --> 00:57:55,580
+احسبه و مش بجاوس حاجة ده ابقى قاعد يحسب صفحتين
+
+812
+00:57:55,580 --> 00:57:58,480
+تلتة و تكملة طويلة عريضة عشان اطلع الجواب اللي
+
+813
+00:57:58,480 --> 00:58:03,020
+بيطلعه جاوس بنص سطر تمام؟ هتشوف أول كلمة ده حلو
+
+814
+00:58:03,020 --> 00:58:07,540
+أول الشكل ماله الشكل المشهول إيه شكله؟ كروي صح
+
+815
+00:58:07,540 --> 00:58:12,260
+ولا لأ ينطبق عليه قانون جاوس أو ينطبق؟ ينطبق أول
+
+816
+00:58:12,260 --> 00:58:16,240
+شوش بده بيقول لي؟ هذا نسقطر إيه؟ بيقول لي find the
+
+817
+00:58:16,240 --> 00:58:19,460
+magnitude of the electric field at a point outside
+
+818
+00:58:19,460 --> 00:58:23,580
+the shell يعني R أكبر من إيه؟ بده نقطة برا واضح
+
+819
+00:58:23,580 --> 00:58:27,840
+شباب؟ و E inside the shell يعني مسافة R بس تكون
+
+820
+00:58:27,840 --> 00:58:31,620
+أقل من إيه؟ يعني بده نقطة برا و نقطة جوا حلو
+
+821
+00:58:32,280 --> 00:58:36,860
+Solution من كل مرة شباب بتطلع على الجسم المشحون
+
+822
+00:58:36,860 --> 00:58:40,860
+إذا أحد الأشكال اللي حكينا عنها بكمل مش أحد
+
+823
+00:58:40,860 --> 00:58:44,120
+الأشكال بشوف القانون غير قانون Gauss واضح شباب
+
+824
+00:58:44,120 --> 00:58:49,730
+فيرجع تش جسم المشحون كره فاضية مليانة صغيرة كبيرة من
+
+825
+00:58:49,730 --> 00:58:54,170
+الجعوة المهم كورة ولا مش كورة؟ كورة spherical shell
+
+826
+00:58:54,170 --> 00:58:59,410
+spherical فهي قشرة كروية ينطبق عليها قانون Gauss؟
+
+827
+00:58:59,410 --> 00:59:02,910
+ينطبق الخطوة التالية بدي اختار قانون Gauss قبل ما
+
+828
+00:59:02,910 --> 00:59:05,430
+اختار قانون Gauss بقول وين بدك تشدتي المجال عشان
+
+829
+00:59:05,430 --> 00:59:09,030
+تجيب ال point إيش point بده في الأول؟ outside the
+
+830
+00:59:09,030 --> 00:59:13,590
+shell we choose any arbitrary point outside the
+
+831
+00:59:13,590 --> 00:59:16,700
+shell و الحلبة الحمرة إيش هذه؟ دلوقتي ولا برا؟ طب
+
+832
+00:59:16,700 --> 00:59:19,880
+مشحون أنا مش مشحون اه ماهي جوا في شحنات تلقي
+
+833
+00:59:19,880 --> 00:59:25,180
+الجواب على طول بتطلع بيقول نفسي اللي عملته هذا هو
+
+834
+00:59:25,180 --> 00:59:29,060
+بيطلع الجواب وهذا الـQ in بيساوي الـQ ولا لا الـQ
+
+835
+00:59:29,060 --> 00:59:34,400
+in هنا كلها جوا كل شحناتها وين الحلاوة الحلاوة هنا
+
+836
+00:59:34,400 --> 00:59:40,860
+هذه كفتك منها بي عيده في بي وين بده شباب بده جوا
+
+837
+00:59:40,860 --> 00:59:44,460
+هذه النقطة تبعتك بده اختار سطح Gauss كيف
+
+838
+00:59:47,080 --> 00:59:52,960
+هو يلّا شطرين جديش فيه شحنات جوا جديش نتيجة يقول
+
+839
+00:59:52,960 --> 00:59:56,440
+وردي مصهله هذه اللي بده تلت أربع صفحات في حل في
+
+840
+00:59:56,440 --> 00:59:59,780
+الطريقة الأولى عشان أطلع السفر هذا بده تلت أربع
+
+841
+00:59:59,780 --> 01:00:02,960
+صفحات و بده مهارة عالية في ال calculus عشان أطلع
+
+842
+01:00:02,960 --> 01:00:08,870
+السفر لأ أنا هجيبها المصممة هجيبها أنا وياك هجيبها
+
+843
+01:00:08,870 --> 01:00:11,970
+و بقى بيفرجي جد السيلة في هذه الحالة طبعا أن أنا
+
+844
+01:00:11,970 --> 01:00:17,510
+هاعيدها مددش QA مددش نتيجة نتيجة نتيجة نتيجة نتيجة
+
+845
+01:00:17,510 --> 01:00:17,850
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+846
+01:00:17,850 --> 01:00:17,890
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+847
+01:00:17,890 --> 01:00:23,990
+نتيجة نتيجة نتيجة نتيجة نتيجة نتيجة
+
+848
+01:00:23,990 --> 01:00:33,410
+نتيجة نتيجة نتيجة نتيجة 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..e0191878d84becca2e321e630fcb84f1acbc4836
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/OG9l9U25ci0_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2518, "start": 9.7, "end": 25.18, "text": "بسم الله الرحمن الرحيم وحكينا ان الشابتر التاني بيحكي عن قانون gauss خلينا نبدأ من هنا قانون gauss هو عنوان الشابتر التاني", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 5016, 4117, 1829, 8315, 16472, 25124, 16758, 2655, 2288, 16712, 7649, 1829, 4724, 1829, 5016, 4117, 1829, 18871, 12174, 7649, 11536, 5959, 2023, 16490, 1211, 9957, 995, 8717, 44510, 10721, 9154, 34105, 12174, 7649, 11536, 5959, 2023, 31439, 18871, 2407, 7649, 25124, 16758, 2655, 2288, 16712, 7649, 1829], "avg_logprob": -0.1389035981590465, "compression_ratio": 1.775, "no_speech_prob": 9.5367431640625e-07, "words": [{"start": 9.700000000000001, "end": 10.74, "word": "بسم", "probability": 0.5638427734375}, {"start": 10.74, "end": 11.16, "word": " الله", "probability": 0.96142578125}, {"start": 11.16, "end": 11.46, "word": " الرحمن", "probability": 0.9513346354166666}, {"start": 11.46, "end": 11.88, "word": " 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"end": 101.2, "word": " في", "probability": 0.8232421875}, {"start": 101.2, "end": 101.26, "word": " ال", "probability": 0.38916015625}, {"start": 101.26, "end": 101.48, "word": " cosine", "probability": 0.52197265625}, {"start": 101.48, "end": 101.94, "word": " الزاوية", "probability": 0.83984375}, {"start": 101.94, "end": 102.18, "word": " اللي", "probability": 0.73095703125}, {"start": 102.18, "end": 102.68, "word": " بينهم", "probability": 0.98486328125}, {"start": 102.68, "end": 103.06, "word": " على", "probability": 0.78564453125}, {"start": 103.06, "end": 103.36, "word": " اعتبار", "probability": 0.9267578125}, {"start": 103.36, "end": 103.5, "word": " ان", "probability": 0.8447265625}, {"start": 103.5, "end": 103.86, "word": " فيتا", "probability": 0.5933430989583334}, {"start": 103.86, "end": 103.96, "word": " is", "probability": 0.376220703125}, {"start": 103.96, "end": 104.1, "word": " the", "probability": 0.8837890625}, {"start": 104.1, "end": 104.52, "word": " angle", "probability": 0.87890625}, {"start": 104.52, "end": 105.22, "word": " between", "probability": 0.93701171875}, {"start": 105.22, "end": 105.64, "word": " E", "probability": 0.984375}, {"start": 105.64, "end": 106.38, "word": " and", "probability": 0.95361328125}, {"start": 106.38, "end": 106.68, "word": " A", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 5, "seek": 12281, "start": 106.97, "end": 122.81, "text": "الـ Area اللى وجفنا عندها بنقول A is a vector quantity من التعريف بتكون متعامدة على A وB أو متعامدة على المستوى او متعامدة على السطح اذا دائما بتكون متعامدة على السطح", "tokens": [6027, 39184, 19405, 13672, 7578, 49610, 5172, 8315, 43242, 11296, 4724, 1863, 39648, 316, 307, 257, 8062, 11275, 9154, 16712, 3615, 16572, 5172, 39894, 30544, 44650, 3615, 10943, 41891, 15844, 316, 4032, 33, 34051, 44650, 3615, 10943, 41891, 15844, 9673, 14851, 2407, 7578, 1975, 2407, 44650, 3615, 10943, 41891, 15844, 21136, 9566, 5016, 1975, 15730, 11778, 16373, 15042, 39894, 30544, 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"word": " او", "probability": 0.703857421875}, {"start": 118.55, "end": 119.21, "word": " متعامدة", "probability": 0.9708251953125}, {"start": 119.21, "end": 119.37, "word": " على", "probability": 0.91650390625}, {"start": 119.37, "end": 119.91, "word": " السطح", "probability": 0.9290364583333334}, {"start": 119.91, "end": 120.45, "word": " اذا", "probability": 0.677978515625}, {"start": 120.45, "end": 121.01, "word": " دائما", "probability": 0.9134114583333334}, {"start": 121.01, "end": 121.49, "word": " بتكون", "probability": 0.94287109375}, {"start": 121.49, "end": 122.17, "word": " متعامدة", "probability": 0.96728515625}, {"start": 122.17, "end": 122.33, "word": " على", "probability": 0.921875}, {"start": 122.33, "end": 122.81, "word": " السطح", "probability": 0.9899088541666666}], "temperature": 1.0}, {"id": 6, "seek": 14366, "start": 123.37, "end": 143.67, "text": "وهو دائما خارج من الأسطح المغلقة طبعا انا اجري صار في عندي سطح مغلق وسطح مش مغلق كيف بدي اميز بين سطح مغلق وسطح مش مغلق قالوا شغلها سهل من التعريف مش هو سطح المغلق بيقول by closed surface we mean that surface", "tokens": [2407, 3224, 2407, 11778, 16373, 15042, 16490, 9640, 7435, 9154, 16247, 3794, 9566, 5016, 9673, 17082, 1211, 28671, 23032, 3555, 3615, 995, 1975, 8315, 1975, 7435, 16572, 20328, 9640, 8978, 18871, 16254, 8608, 9566, 5016, 3714, 17082, 1211, 4587, 4032, 3794, 9566, 5016, 37893, 3714, 17082, 1211, 4587, 9122, 33911, 4724, 16254, 1975, 2304, 1829, 11622, 49374, 8608, 9566, 5016, 3714, 17082, 1211, 4587, 4032, 3794, 9566, 5016, 37893, 3714, 17082, 1211, 4587, 50239, 14407, 13412, 17082, 1211, 11296, 8608, 3224, 1211, 9154, 16712, 3615, 16572, 5172, 37893, 31439, 8608, 9566, 5016, 9673, 17082, 1211, 4587, 4724, 1829, 39648, 538, 5395, 3753, 321, 914, 300, 3753], "avg_logprob": -0.2835864530545529, "compression_ratio": 1.8191489361702127, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 123.37, "end": 124.15, "word": "وهو", "probability": 0.4908854166666667}, {"start": 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مغلق", "probability": 0.993408203125}, {"start": 136.49, "end": 136.77, "word": " قالوا", "probability": 0.44989013671875}, {"start": 136.77, "end": 137.07, "word": " شغلها", "probability": 0.7158203125}, {"start": 137.07, "end": 137.33, "word": " سهل", "probability": 0.8352864583333334}, {"start": 137.33, "end": 137.75, "word": " من", "probability": 0.61376953125}, {"start": 137.75, "end": 138.39, "word": " التعريف", "probability": 0.947265625}, {"start": 138.39, "end": 138.79, "word": " مش", "probability": 0.3037109375}, {"start": 138.79, "end": 138.95, "word": " هو", "probability": 0.8974609375}, {"start": 138.95, "end": 139.21, "word": " سطح", "probability": 0.83984375}, {"start": 139.21, "end": 139.69, "word": " المغلق", "probability": 0.9493408203125}, {"start": 139.69, "end": 140.25, "word": " بيقول", "probability": 0.7945963541666666}, {"start": 140.25, "end": 140.49, "word": " by", "probability": 0.37548828125}, {"start": 140.49, "end": 140.97, "word": " closed", "probability": 0.63720703125}, {"start": 140.97, "end": 141.53, "word": " surface", "probability": 0.90087890625}, {"start": 141.53, "end": 142.21, "word": " we", "probability": 0.7548828125}, {"start": 142.21, "end": 142.63, "word": " mean", "probability": 0.59619140625}, {"start": 142.63, "end": 143.01, "word": " that", "probability": 0.9404296875}, {"start": 143.01, "end": 143.67, "word": " surface", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 7, "seek": 14786, "start": 144.36, "end": 147.86, "text": "التي تقوم بتقسيم المكان إلى مناطق الداخل والخارج", "tokens": [6027, 31371, 6055, 4587, 20498, 39894, 4587, 3794, 32640, 9673, 41361, 30731, 9154, 41193, 4587, 32748, 47283, 1211, 16070, 9778, 9640, 7435], "avg_logprob": -0.6851222670596578, "compression_ratio": 1.2191780821917808, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 144.36, "end": 144.78, "word": "التي", "probability": 0.4609375}, {"start": 144.78, "end": 145.2, "word": " تقوم", "probability": 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بيقول", "probability": 0.9049479166666666}, {"start": 763.01, "end": 763.25, "word": " ايه؟", "probability": 0.80828857421875}], "temperature": 1.0}, {"id": 33, "seek": 78866, "start": 764.7, "end": 788.66, "text": "أوضع كانت بشكل منتظر حقا خاصة بس هو حاول يعمّمها في البداية بيقول if E طالعة الشجة التانية شباب كتور فاكر فيها كتور و هو طالع بتكون الزاوية حادة أقل من تسعين درجة hence the flux through this element is positive و if E is entering و هو داخل", "tokens": [10721, 2407, 11242, 3615, 25961, 2655, 4724, 8592, 28820, 9154, 2655, 19913, 2288, 11331, 4587, 995, 16490, 33546, 3660, 4724, 3794, 31439, 11331, 995, 12610, 37495, 2304, 11703, 2304, 11296, 8978, 29739, 28259, 10632, 4724, 1829, 39648, 498, 462, 23032, 6027, 27884, 25124, 7435, 3660, 16712, 7649, 10632, 13412, 3555, 16758, 9122, 2655, 13063, 6156, 995, 37983, 8978, 11296, 9122, 2655, 13063, 4032, 31439, 23032, 6027, 3615, 39894, 30544, 6024, 110, 995, 2407, 10632, 11331, 18513, 3660, 5551, 4587, 1211, 9154, 6055, 3794, 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2312.05, "end": 2312.53, "word": " بدي", "probability": 0.90869140625}, {"start": 2312.53, "end": 2313.49, "word": " علاقات", "probability": 0.964111328125}, {"start": 2313.49, "end": 2314.05, "word": " وشغلات", "probability": 0.801025390625}, {"start": 2314.05, "end": 2314.43, "word": " كتيرة", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 98, "seek": 233977, "start": 2315.67, "end": 2339.77, "text": "بقول العملية سهلة for this way to be as easy as possible we must be able to choose a hypothetical a closed surface سموه Gaussian surface Gauss ايش بقول بقول على أي سطح مغلق لأي سطح مغلق اي سطح مغلق الفكس اللي سوى qn على ε نوت مش هي قانونه مثلا اي سطح مغلق طب هو انا يضرني احد على سطح معين", "tokens": [3555, 39648, 18863, 42213, 10632, 8608, 3224, 37977, 337, 341, 636, 281, 312, 382, 1858, 382, 1944, 321, 1633, 312, 1075, 281, 2826, 257, 33053, 257, 5395, 3753, 8608, 2304, 2407, 3224, 10384, 2023, 952, 3753, 10384, 2023, 1975, 1829, 8592, 4724, 39648, 4724, 39648, 15844, 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245798, "start": 2430.39, "end": 2457.99, "text": "لو اخترته ماتبتعرف مساحته سهلة و epsilon نقطة كلها عارفينها ساعتها بجيب ايه صح ولا لأ because العملية صارت سهلة بس يقشنوا الصعوبة بيقولي طب هذا دايما الشغلة ممكنة بيقولي this can't be attained وهذه الشغلة فقط ممكن تحصل عليها if the following remarks are satisfied وهذه مابتتحصلش مع الأسف دائما الشيء مابتتحصلش انك تختار سطح ايه يكون ثابت عليه", "tokens": [1211, 2407, 1975, 46456, 43500, 3224, 3714, 9307, 3555, 2655, 3615, 28480, 47524, 995, 33753, 3224, 8608, 3224, 37977, 4032, 17889, 8717, 47432, 3660, 28242, 11296, 6225, 9640, 5172, 9957, 11296, 8608, 995, 34268, 11296, 4724, 7435, 1829, 3555, 1975, 1829, 3224, 20328, 5016, 49429, 5296, 10721, 570, 18863, 42213, 10632, 20328, 9640, 2655, 8608, 3224, 37977, 4724, 3794, 7251, 4587, 8592, 1863, 14407, 31767, 3615, 37746, 3660, 4724, 1829, 39648, 1829, 23032, 3555, 23758, 11778, 47302, 15042, 25124, 17082, 37977, 3714, 43020, 3660, 4724, 1829, 39648, 1829, 341, 393, 380, 312, 46633, 37037, 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القرأوى فيها أحلى من كورة شباب من وين ما طلعت عليها نفس الشكل ولا لأ إذا فيه symmetry عالي إذا الأشكال القرأوية كلها زغرت ولا كبرت و بعدين cylindrical with infinite length كل ال cylinders حلو بس مشكلته واحدة أنه عند أطرافه", "tokens": [3555, 3794, 25124, 28820, 25062, 2288, 10721, 2407, 7578, 8978, 11296, 5551, 5016, 23942, 9154, 9122, 13063, 3660, 13412, 3555, 16758, 9154, 4032, 9957, 19446, 23032, 1211, 34268, 25894, 11296, 8717, 36178, 25124, 28820, 49429, 5296, 10721, 11933, 15730, 8978, 3224, 25440, 6225, 6027, 1829, 11933, 15730, 16247, 8592, 4117, 6027, 25062, 2288, 10721, 2407, 10632, 28242, 11296, 30767, 17082, 43500, 49429, 9122, 26890, 2655, 4032, 39182, 9957, 28044, 15888, 365, 13785, 4641, 28242, 2423, 42166, 11331, 1211, 2407, 4724, 3794, 37893, 28820, 47395, 36764, 24401, 3660, 14739, 3224, 43242, 5551, 9566, 23557, 5172, 3224], "avg_logprob": -0.2057291722546021, "compression_ratio": 1.6359649122807018, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 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المشعون تمام بيقول solution since the charge distribution is spherical عشان الجسم المشحون كروي we choose the Gaussian surface as a sphere of radius a هي السطح", "tokens": [1211, 31377, 2304, 7251, 30544, 9122, 32887, 1829, 5296, 33456, 25124, 28820, 9673, 8592, 5016, 11536, 8592, 31439, 9122, 32887, 1829, 4724, 28820, 8608, 9566, 5016, 10874, 995, 41779, 5296, 31377, 2304, 7251, 30544, 14407, 8717, 36178, 2423, 25440, 6055, 3555, 3615, 25724, 38251, 9673, 8592, 3615, 11536, 46811, 10943, 4724, 1829, 39648, 3827, 1670, 264, 4602, 7316, 307, 37300, 6225, 8592, 7649, 25724, 38251, 9673, 8592, 5016, 11536, 9122, 32887, 1829, 321, 2826, 264, 39148, 3753, 382, 257, 16687, 295, 15845, 257, 39896, 21136, 9566, 5016], "avg_logprob": -0.23579545827074486, "compression_ratio": 1.5973451327433628, "no_speech_prob": 0.0, "words": [{"start": 3139.88, "end": 3140.68, "word": "لازم", "probability": 0.766357421875}, {"start": 3140.68, "end": 3141.24, "word": " يكون", "probability": 0.993408203125}, 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نتيجة", "probability": 0.9873046875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3634.92125, "duration_after_vad": 3514.3847187499864}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..29283618e53082cd40c013498f596230290ff2b1
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_postprocess.srt
@@ -0,0 +1,3900 @@
+1
+00:00:11,200 --> 00:00:18,300
+بسم الله الرحمن الرحيم نستأنف ما تبقى من chapter 3
+
+2
+00:00:18,300 --> 00:00:24,400
+اللى كان بعنوان electric potential بدنا اربطنا ال
+
+3
+00:00:24,400 --> 00:00:28,400
+electric potential مع ال potential energy وحكينا
+
+4
+00:00:28,400 --> 00:00:36,150
+انهU بتساوي Q في V او V بتساوي U على Q وبالتالي
+
+5
+00:00:36,150 --> 00:00:40,750
+بدالة ال electric potential is derived from the
+
+6
+00:00:40,750 --> 00:00:46,190
+potential energy من هنا ايجا اسم ال potentialبعد
+
+7
+00:00:46,190 --> 00:00:49,130
+كده ربطناه بكونه مربوط بال energy و ال energy
+
+8
+00:00:49,130 --> 00:00:53,030
+مربوط بال work و ال work ربطناه بالقوة و القوة
+
+9
+00:00:53,030 --> 00:00:56,450
+مربوطة بالمجال الكهربائي فصار في عندي الجهد
+
+10
+00:00:56,450 --> 00:01:01,270
+الكهربائي بينجاب إذا عرفتي المجال الكهربائي على
+
+11
+00:01:01,270 --> 00:01:06,270
+اعتبار ان v عند نقطة م يساوي سالي بالتكامل من
+
+12
+00:01:06,270 --> 00:01:15,400
+المنة نهائية للنقطة E dot dl الشغل التانيE مش
+
+13
+00:01:15,400 --> 00:01:20,900
+دايما سهل نجيبه بالتالي اشتقنا قانون بيقول Vp
+
+14
+00:01:20,900 --> 00:01:30,680
+بيسوي KQ على R وهذا قانون for ported charges و
+
+15
+00:01:30,680 --> 00:01:34,660
+بيشبه ال E بيسوي KQ على R تلبية بظبط ولا لأ و
+
+16
+00:01:34,660 --> 00:01:38,940
+خلينا مثال و احنا بنحل مثال للمرة هذه الشباب كان
+
+17
+00:01:38,940 --> 00:01:45,220
+مقلوب من التالي بيقول كان في عندك two chargesQ1 و
+
+18
+00:01:45,220 --> 00:01:50,560
+Q2 و اوجد الجهد عند النقطة P اوجدتها اقول ان هذا
+
+19
+00:01:50,560 --> 00:01:55,160
+سؤال سهل المطلوب التالي قال لي ما هو الفرق في ال
+
+20
+00:01:55,160 --> 00:02:03,600
+potential energyبين هدسة system و system أخر بتولد
+
+21
+00:02:03,600 --> 00:02:07,560
+إذا جيبت Q تالتة from infinity و حطفها عند النقطة
+
+22
+00:02:07,560 --> 00:02:11,280
+B و قلنا ال delta U هو بيساوي نفس الشغل يعني هو
+
+23
+00:02:11,280 --> 00:02:15,620
+بده delta U بيساوي الشغل و الشغل هو نفس الشهد
+
+24
+00:02:15,620 --> 00:02:20,600
+مضروب بالشحنة المنقولة فقلت الشغل لما قلنا راجح
+
+25
+00:02:20,600 --> 00:02:25,740
+المحطمات السالب الذاكرين فقلناالشغل اللازم عشان
+
+26
+00:02:25,740 --> 00:02:30,920
+أنقل شحنة Q3 من المال النهائي عنده النقطة P بساوي
+
+27
+00:02:30,920 --> 00:02:36,460
+الشغل بساوي Q3 المنقولة في VB حسبتها وهذه قرتها
+
+28
+00:02:36,460 --> 00:02:42,600
+نفسها بساوي ΔU دلتا يو مش هي أصلا U final نقص
+
+29
+00:02:42,600 --> 00:02:46,570
+Unicialصح ولا لأ؟ طب انا انت عندك system مرة
+
+30
+00:02:46,570 --> 00:02:51,090
+initial و مرة final هذا الوضع Q1 و Q2 Initially
+
+31
+00:02:51,090 --> 00:02:55,930
+Final ايه صار فيه؟ يقول يصار في Q3 صح ولا لأ؟ يعني
+
+32
+00:02:55,930 --> 00:02:58,570
+initial كان في شحنتين final يجيب الشحنتات اللي
+
+33
+00:02:58,570 --> 00:03:03,450
+عندهم طب انت لو في عندك قانون يجيب لك U initial و
+
+34
+00:03:03,450 --> 00:03:06,770
+U final و جيب ال delta U بطلع نفس الجواب مفروض صح
+
+35
+00:03:06,770 --> 00:03:10,970
+ولا لأ؟أنا ماعنديش قانون يجيب لي U لما يكون عندي
+
+36
+00:03:10,970 --> 00:03:14,190
+شحنتين أو لما يكون تلاتة مهمتنا الأن نشتغل هذا
+
+37
+00:03:14,190 --> 00:03:17,650
+القانون أنه لما يكون في عندي شحنتين المفروض يكون
+
+38
+00:03:17,650 --> 00:03:20,790
+يلهم U و لما يكون عندي تلات شحنات برضه يكون يلهم U
+
+39
+00:03:20,790 --> 00:03:25,330
+كيف بدي أحسب U اني يسأل و يطلع نفس الجواب هذا هو
+
+40
+00:03:25,330 --> 00:03:31,110
+موضوعنا الأول في هذه المحاضرة هذا حلناها كل واحدة
+
+41
+00:03:32,070 --> 00:03:36,430
+potential energy of a system of pointed charges ..
+
+42
+00:03:36,430 --> 00:03:40,090
+a system of pointed charges .. في عندك pointed
+
+43
+00:03:40,090 --> 00:03:44,470
+charges زي هيك .. Q1, Q2, Q3 و مطلوب مني أودد U
+
+44
+00:03:44,470 --> 00:03:47,550
+لهم .. هذا system .. قال يجب أن تحسبها .. قال
+
+45
+00:03:47,550 --> 00:03:51,310
+بقدرش أحسبها .. أرجع للقانون الأصلي .. إيش هو
+
+46
+00:03:51,310 --> 00:03:56,310
+القانون الأصلي؟ كيف أنا شباب حسبت U ده لـ gravity؟
+
+47
+00:03:56,310 --> 00:04:01,000
+قلت هنا في MGH .. كيف حسبتها؟أيامها جبنا ال work
+
+48
+00:04:01,000 --> 00:04:07,120
+اللازم عشان أنجل هذا الجلام من الطاولة ل هنا و
+
+49
+00:04:07,120 --> 00:04:09,920
+بقول هذا ال work مصاب سالب دركتا يو و طلعناها
+
+50
+00:04:09,920 --> 00:04:13,460
+مظبوط ولا لأ و هي بتجيب it to you هنا نفس العملية
+
+51
+00:04:13,460 --> 00:04:21,920
+بدي انا اجيب ال work بقولدعنا نتخيل العمل
+
+52
+00:04:21,920 --> 00:04:25,460
+اللازم
+
+53
+00:04:25,460 --> 00:04:29,020
+لسبب دروح الشغل اللازم بواسطة قوة خارقية العمل
+
+54
+00:04:29,020 --> 00:04:35,740
+اللازم لتشكل نظام ثلاث نقاط انا مطلوب مني شباب
+
+55
+00:04:35,740 --> 00:04:45,300
+مطلوب مني اشكل نظام من ثلاث نقاطوتحسب لبعد كده ال
+
+56
+00:04:45,300 --> 00:04:47,900
+potential energy بتبعتهم الشير ال potential energy
+
+57
+00:04:47,900 --> 00:04:51,960
+بتساوي الشغل اللازم عشان هدول التلاتة ينحطوا جنبك
+
+58
+00:04:51,960 --> 00:04:54,900
+طب هدول التلاتة وين هم؟ قللي هدول التلاتة في المنة
+
+59
+00:04:54,900 --> 00:04:58,540
+النهائية اعتبرهم موجودين في المنة النهائية تمام؟
+
+60
+00:05:06,740 --> 00:05:09,540
+اذا انا في عندي تلات شحنات في المانا نهاية يا شباب
+
+61
+00:05:09,540 --> 00:05:11,840
+هو طبعا في المانا نهاية فيه شغال مليون شحنا انا
+
+62
+00:05:11,840 --> 00:05:14,180
+بجيب تلاتة منهم و احطهم واحدة واحدة و احطهم على
+
+63
+00:05:14,180 --> 00:05:18,260
+اللوح هجيدي اشوي كده بدي اسوي بقول الشحنا الشغل
+
+64
+00:05:18,260 --> 00:05:23,220
+اللازم عشان اوقل الشحنا من المانا نهاية للنقطة تما
+
+65
+00:05:23,220 --> 00:05:27,820
+بساوي الشحنا الموقولة في جهد النقطة مش هيك صح هيك
+
+66
+00:05:27,820 --> 00:05:31,900
+اتعاملنا معاهاطبعا بيقول لي to do so ايه باك تسوي
+
+67
+00:05:31,900 --> 00:05:35,140
+عشان انت تنجري الشحنات؟ we have to calculate the
+
+68
+00:05:35,140 --> 00:05:39,900
+work required to bring from infinity تجيب من
+
+69
+00:05:39,900 --> 00:05:45,340
+المنهاية each charge one by one تجيب واحدة واحدةكي
+
+70
+00:05:45,340 --> 00:05:48,640
+بتحسب هالشغل؟ بيقول لي as اللي تاول حاكيتها و
+
+71
+00:05:48,640 --> 00:05:51,500
+حاكيتها في المحاضرة الماضية as the potential at a
+
+72
+00:05:51,500 --> 00:05:54,840
+point is equal to the work required to bring a
+
+73
+00:05:54,840 --> 00:05:57,960
+positive unit charge from infinity to that point
+
+74
+00:05:57,960 --> 00:06:01,700
+هذا تعريف الشهد عند نقطة بيساوي الشغل اللازم عشان
+
+75
+00:06:01,700 --> 00:06:04,940
+أنقل واحدة الشحنات الموجبة من المال مهيأة لتلك
+
+76
+00:06:04,940 --> 00:06:10,040
+النقطة صح ولا لأ؟ عشان أنقل واحدة الشحنات طب لو
+
+77
+00:06:10,040 --> 00:06:13,800
+بدي أنقل شحنة معروفة مضروف قيمة الشحنة صح ولا لأ؟
+
+78
+00:06:14,570 --> 00:06:18,030
+therefore the work required to bring a charge q
+
+79
+00:06:18,030 --> 00:06:22,990
+from infinity to a point must equal to the
+
+80
+00:06:22,990 --> 00:06:26,810
+potential at that point multiplied by q هذا
+
+81
+00:06:26,810 --> 00:06:28,650
+القانون اللي استخدمته في المثال السابق وهذا
+
+82
+00:06:28,650 --> 00:06:31,530
+القانون اللي بتاوي حكيته ان الشغل اللازم عشان أنقر
+
+83
+00:06:31,530 --> 00:06:34,570
+شحنة من منة نهاية من نقطة B بالصيبه Q الشحنة
+
+84
+00:06:34,570 --> 00:06:40,030
+المنقولة اللي بدي أنقلها في V عند نقطة P تمام بقول
+
+85
+00:06:40,030 --> 00:06:43,860
+الآن هي أول شحنة قبل ما أجيب الشحنة هذههجيت فى
+
+86
+00:06:43,860 --> 00:06:47,980
+الباب تخلّى المباوية هذى فى اي شحنات فى الشحنات لو
+
+87
+00:06:47,980 --> 00:06:52,280
+انا ولبت طالب يستخدمني هذى القانون ويقولى احسبلى
+
+88
+00:06:52,280 --> 00:07:00,800
+جهود عند نقطة تنمية سفر فىش جهود صح حلو هجيت انت
+
+89
+00:07:00,800 --> 00:07:04,540
+بيحط عنده نقطة هذى اللى بيعتبرها سفر انا جهودها
+
+90
+00:07:04,540 --> 00:07:08,120
+سفر بدأتى بشحنة من المنهار وحطها هناك قديش بالذنب
+
+91
+00:07:08,120 --> 00:07:13,510
+شغل بالذنبالقانون الشغل احنا لما نقوله Q1 فيه جهد
+
+92
+00:07:13,510 --> 00:07:20,310
+عند النقطة كده جهد؟ سفر فشغل الأولان كده؟ Zero فهي
+
+93
+00:07:20,310 --> 00:07:26,030
+نجرتها ده Q1 حطيتها في النقطة يا بيقولي ماهو no
+
+94
+00:07:26,030 --> 00:07:32,080
+work فاش شغليحتاج الناس لتوضيح نقطة Q1 في موقع
+
+95
+00:07:32,080 --> 00:07:36,560
+واحد، لماذا 0؟ لأنه لا يوجد قوة إلكترونية في هذا
+
+96
+00:07:36,560 --> 00:07:37,000
+الموقع
+
+97
+00:07:43,350 --> 00:07:47,550
+الجهد محالها موجود؟ Zero إذا أنا حاطقها بداية
+
+98
+00:07:47,550 --> 00:07:52,410
+الشغل، بحسب القانون ما بدأت الشغل، إذا أول شغل لزم
+
+99
+00:07:52,410 --> 00:07:55,350
+عشان أنقل الشحنة الأولى كان بيساوي Zero، الآن
+
+100
+00:07:55,350 --> 00:07:58,590
+بتجيب شحنة تانية شباب، وين بتحطها؟ بتحط جنبها،
+
+101
+00:07:58,590 --> 00:08:01,390
+يعني حواليها، طب هاجد عند أي نقطة حوالها فيه جهد
+
+102
+00:08:01,390 --> 00:08:07,160
+ولا فيه جهد؟ هيه؟ إذا الآن وين بيبقى بتحطها؟الشغل
+
+103
+00:08:07,160 --> 00:08:11,020
+بيساوي Q2 اللي هي التانية في هذه الشغل ولا لأ هذا
+
+104
+00:08:11,020 --> 00:08:15,740
+الآن بيساوي واحد هذه السارقة إذا في عند أي نقطة
+
+105
+00:08:15,740 --> 00:08:20,040
+بيقوللي الآن next we place a secondary charge Q2
+
+106
+00:08:20,040 --> 00:08:25,080
+at a position R12 from Q هنا بدي أحط شحنة عند
+
+107
+00:08:25,080 --> 00:08:29,750
+النقطة هذهكأما بالنقطة هذه الشباب هي حقيقتها بقول
+
+108
+00:08:29,750 --> 00:08:36,470
+ع دي المسافات this requires a work بيساوي Q2 في V
+
+109
+00:08:36,470 --> 00:08:41,170
+و V1 جهد جاي من وين؟ من الـQ1 صح ولا لأ؟ وبتساوي
+
+110
+00:08:41,170 --> 00:08:44,190
+KQ1 على المسافة اللي هي أر واحد تانين ولا لأ؟
+
+111
+00:08:44,190 --> 00:08:48,590
+وبتساوي إيه؟ هذا هو هال KQ1 على أر واحد تانين
+
+112
+00:08:48,590 --> 00:08:53,850
+مجرومة في Q2 الشحن المعقولة هذا الشغل التاني تمام؟
+
+113
+00:08:54,550 --> 00:08:57,290
+بدي اجيب الشغل التالت واحدة انا بدي اجيب تلاتة
+
+114
+00:08:57,290 --> 00:09:01,130
+التلاتة انا بدي احطها الشباب بدي احطها هنا هناك
+
+115
+00:09:01,130 --> 00:09:06,650
+انت قاطع الخطين هدول هناك فيه جهد فيه جهد من شحن
+
+116
+00:09:06,650 --> 00:09:13,230
+تين براو طب تده تحسبهم اه كيك واحد على ار واحد
+
+117
+00:09:13,230 --> 00:09:18,090
+تلاتة زائد كيك اتنين على ار اتنين تلاتة صح ولا لأ
+
+118
+00:09:18,090 --> 00:09:20,790
+تمام بيقولي اي كيك تلاتة عطيتها
+
+119
+00:09:23,420 --> 00:09:30,320
+We now must do work given as Q3 في P1 و P2 و P1 و
+
+120
+00:09:30,320 --> 00:09:34,620
+P2 و P1 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+121
+00:09:34,620 --> 00:09:36,920
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+122
+00:09:36,920 --> 00:09:38,720
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+123
+00:09:38,720 --> 00:09:39,920
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+124
+00:09:39,920 --> 00:09:46,260
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+125
+00:09:46,260 --> 00:09:52,380
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2
+
+126
+00:09:52,380 --> 00:09:56,210
+و Pزاد هذا .. زاد هذا .. صح ولا لا الشغل الكل
+
+127
+00:09:56,210 --> 00:10:00,790
+بتقدر تجيبوه؟ اجمعوه .. هي الشغل الكل طب هذا الشغل
+
+128
+00:10:00,790 --> 00:10:04,850
+الكل وين راح؟ قال يتخزن جوا طاقة وضع ولا لا؟ طاقة
+
+129
+00:10:04,850 --> 00:10:08,870
+وضع .. حاجة نرجع .. نرجع ل .. هذا .. هذا ال remote
+
+130
+00:10:08,870 --> 00:10:12,550
+حاجة انا اللي جيت بدي اقول من ها لها ما زال .. ما
+
+131
+00:10:12,550 --> 00:10:17,210
+زال الشغل؟ جوا تخزن جوا طاقة وضع ولا لا؟ اذا الشغل
+
+132
+00:10:17,210 --> 00:10:20,470
+المبدون بتخزن جوا طاقة وضع لان انت حسبت الشغل طب
+
+133
+00:10:20,470 --> 00:10:25,990
+بده طاقة وضع ما هو نفسهما هو نفسه، تمام؟ بيقول
+
+134
+00:10:25,990 --> 00:10:30,630
+الآن The total work required to assemble a system
+
+135
+00:10:30,630 --> 00:10:35,220
+of three chariots is thenالشغل اللي تبقى الأول زي
+
+136
+00:10:35,220 --> 00:10:37,680
+الشغل التاني زي الشغل التالت يعني الشغل اللي لازم
+
+137
+00:10:37,680 --> 00:10:40,340
+عشان اجيب الأولى والشغل اللي لازم عشان اجيب
+
+138
+00:10:40,340 --> 00:10:43,040
+التانية والشغل اللي لازم عشان اجيب التالتة الأول
+
+139
+00:10:43,040 --> 00:10:48,940
+مش zero والتالي KQ1 وKQ2 والتالت فيه له حدين جمعهم
+
+140
+00:10:48,940 --> 00:10:53,020
+وقول هذا الشغل اللي هتحصل هو this work is stored
+
+141
+00:10:53,020 --> 00:10:57,140
+خزين as an electrostatic energy in the system so
+
+142
+00:10:57,140 --> 00:11:01,660
+we write هاي اليومطبعا انتوا شباب احنا لما نقول في
+
+143
+00:11:01,660 --> 00:11:04,460
+potential energy هايو potential energy ايش يعني؟
+
+144
+00:11:04,460 --> 00:11:07,240
+لو بتفلته و بيضله زي ما هو ال potential energy
+
+145
+00:11:07,240 --> 00:11:09,880
+اللي مخزنه تتحول لطاقة وضعه ولا لأ ده مازل زي
+
+146
+00:11:09,880 --> 00:11:14,860
+الزنبارك حيث الزنبارك شده او اتغطه في طاقة وضعه
+
+147
+00:11:14,860 --> 00:11:18,600
+ساروته ولا لأ تفلته بيضله ولا برجع برجع لأن طاقة
+
+148
+00:11:18,600 --> 00:11:24,600
+وضعه تتحرك لطاقة حركة طيب سؤال شباب ال level تبقى
+
+149
+00:11:24,600 --> 00:11:28,820
+الطاولة نرجع لفيزي ألف يوجي لجسم على الأرض موجب
+
+150
+00:11:28,820 --> 00:11:34,810
+ولا سالبفالتو بيضيء على الطاولة ايش بيدوه؟ بيدوه
+
+151
+00:11:34,810 --> 00:11:39,450
+energy وهذا معناته السالب انه بحتاج طاقة نقص عنده
+
+152
+00:11:39,450 --> 00:11:44,150
+فلما يكون تحت كونه U بيكون سالبة تحت ال level طبعا
+
+153
+00:11:44,150 --> 00:11:46,690
+الذنبالك مافيش مجال يكون U سالبة وانتوا عرفتوها
+
+154
+00:11:46,690 --> 00:11:50,980
+ليش لان مافيش عندي وضعV زنبرك بده حد يساعده عشان
+
+155
+00:11:50,980 --> 00:11:55,000
+يرجع لـ equilibrium بشي صح ولا لأ؟ في وضع بدك حد
+
+156
+00:11:55,000 --> 00:11:59,180
+يساعد الجسم عشان يرجع لالاتزال؟ لأ بس هنا فيه
+
+157
+00:11:59,180 --> 00:12:01,820
+أوضاع في ال gravity الجسم لما يكون تحت ال level
+
+158
+00:12:01,820 --> 00:12:05,360
+بده حد يساعده يرجع لل level صح ولا لأ؟ فبتكون ليه
+
+159
+00:12:05,360 --> 00:12:09,470
+سالبة مرات وهي معناه السالب بس بالspring لأهذه هي
+
+160
+00:12:09,470 --> 00:12:14,470
+الآن هذه يونى تباتة طب لو فيه أربعة بقولي بقدر
+
+161
+00:12:14,470 --> 00:12:17,450
+أجيبها لو فيه خمسة بقدر أجيبها بس بتطول أكتر
+
+162
+00:12:17,450 --> 00:12:24,010
+فبسؤالي الآن لو في بس شحنتين ايش بيكون الجواب بس
+
+163
+00:12:24,010 --> 00:12:28,370
+الأولىبس حد واحد اتطلع في مين اعملها دي مش هدوتها
+
+164
+00:12:28,370 --> 00:12:30,950
+السحنات اتطلع كده في الحدود كده كنا عارفين انها
+
+165
+00:12:30,950 --> 00:12:34,330
+كده ولا لأ كده عارفينها اتطلع واحد تلاتة وواحد
+
+166
+00:12:34,330 --> 00:12:37,270
+تلاتة وتلاتة كده كده كده كده كده كده كده كده كده
+
+167
+00:12:37,270 --> 00:12:39,090
+كده كده كده كده كده كده كده كده كده كده كده كده
+
+168
+00:12:39,090 --> 00:12:40,290
+كده كده كده كده كده كده كده كده كده كده كده كده
+
+169
+00:12:40,290 --> 00:12:44,630
+كده كده كده كده كده كده كده كده كده كده كده كده
+
+170
+00:12:46,280 --> 00:12:50,080
+يعني ستة ترمات طلع واحد تنين واحد تلاتة واحد اربعة
+
+171
+00:12:50,080 --> 00:12:54,000
+اتنين تلاتة اتنين اربعة تلاتة اربعة بطلع ستة لو في
+
+172
+00:12:54,000 --> 00:12:57,240
+خمسه بضالي ماشي هيك طب لو كان كله شحنتين ع كمتين
+
+173
+00:12:57,240 --> 00:13:02,000
+واحد تنين مافيش غيرهم تمام؟روحنا مرات نجيب أسلة
+
+174
+00:13:02,000 --> 00:13:04,780
+كتير سهلة، نتوقع أنها تكون سهلة عشان تسهل، المرة
+
+175
+00:13:04,780 --> 00:13:07,260
+دي بنشرحنا two pointed charges، قولنا هم اوديو ديو
+
+176
+00:13:07,260 --> 00:13:11,520
+تبعتها عشان بس الواحد يقول Q1 في Q2 على R وخلاص،
+
+177
+00:13:11,520 --> 00:13:15,620
+بقى هو حطوا تلات تلمات هدول، الطلاب، وقالوا تلات
+
+178
+00:13:15,620 --> 00:13:17,540
+تلمات هوا، تلات تلمات هوا، three pointed charges،
+
+179
+00:13:17,540 --> 00:13:21,800
+مش ل two pointed charges، تمامبقول لي the
+
+180
+00:13:21,800 --> 00:13:25,220
+potential energy of a system of any charges can be
+
+181
+00:13:25,220 --> 00:13:28,700
+calculated in a similar fashion نفس القضية ده دي
+
+182
+00:13:28,700 --> 00:13:32,500
+بالأربعة على الخمسة بيقولي for four charges for
+
+183
+00:13:32,500 --> 00:13:36,760
+example we have هاي الأربعة ست رمال واحد اتنين
+
+184
+00:13:36,760 --> 00:13:40,420
+واحد تلاتة واحد اربعة اتنين تلاتة اتنين اربعة
+
+185
+00:13:40,420 --> 00:13:43,140
+تلاتة اربعة طبعا واضح لما اقول واحد اتنين ايه دي
+
+186
+00:13:43,140 --> 00:13:45,880
+المسافة بين مين ومين واحد اتنين لما اقول واحد
+
+187
+00:13:45,880 --> 00:13:49,780
+تلاتة بدي واحد تلاتة وهكذا سهل القانون طبعا نرجع
+
+188
+00:13:49,780 --> 00:13:55,240
+لهذاهذه انا حسبت كيف شباب جالي بدي دالتا U و
+
+189
+00:13:55,240 --> 00:13:58,720
+قولتله مالساوي الشغل و حسبتله الشغل طب انا ماجولي
+
+190
+00:13:58,720 --> 00:14:04,220
+بديش انا الطريقة هذه بدي U final نقص U initial
+
+191
+00:14:04,220 --> 00:14:06,280
+مظبوط ولا لا؟
+
+192
+00:14:09,510 --> 00:14:15,290
+تلاتة finally هاي قانونها طب initially تنتين ..
+
+193
+00:14:15,290 --> 00:14:18,310
+تنتين كانوا .. هو أول كان في تنتين و بعدين حاطب
+
+194
+00:14:18,310 --> 00:14:21,530
+تلتة .. initial كانت تنتين و final كانت تلاتة ..
+
+195
+00:14:21,530 --> 00:14:24,230
+final بيجيبه من هذا القانون و initially بيجيب هذا
+
+196
+00:14:24,230 --> 00:14:28,770
+الحد اطلع حر من بعد مفيد يطلع معاك نفسي جواب ..
+
+197
+00:14:28,770 --> 00:14:33,850
+تمام؟ قدّم نشوفهبقول for a system of only two
+
+198
+00:14:33,850 --> 00:14:35,510
+pointed charges اذا كان عنده point of charge
+
+199
+00:14:35,510 --> 00:14:39,230
+اتفاقنا كم حد في واحد بكون هذا الجواب ده اللي بدي
+
+200
+00:14:39,230 --> 00:14:43,350
+انا شويه اعلق عليه هذه U احنا اتفاقنا ل spring U
+
+201
+00:14:43,350 --> 00:14:45,270
+دوام الموجة بقى بقى ال gravity و مرات موجة بقى و
+
+202
+00:14:45,270 --> 00:14:47,630
+مرات سالبة حسب انها تحت ال level او فوق ال level
+
+203
+00:14:47,630 --> 00:14:50,170
+صح ولا لأ و صار في عندنا sense ايش معنات سالبة و
+
+204
+00:14:50,170 --> 00:14:53,950
+ايش معنات موجة بقى طيب هنا ممكن تكون موجة بقى و
+
+205
+00:14:53,950 --> 00:14:57,830
+ممكن تكون سالبة ممكن
+
+206
+00:14:57,830 --> 00:15:02,330
+انت كانت شحنة سالبةاه كم شحنة فين؟ تنتين طب لو
+
+207
+00:15:02,330 --> 00:15:07,390
+تنتين سوالب؟أو واحدة منهم موجبة و سالبة؟ إذا ممكن
+
+208
+00:15:07,390 --> 00:15:10,330
+تكون سالبة إذا كانت واحدة موجبة و واحدة سالبة صح
+
+209
+00:15:10,330 --> 00:15:13,190
+ولا لأ؟ إذا ده نقلطة ممكن تكون موجبة و ممكن تكون
+
+210
+00:15:13,190 --> 00:15:17,350
+سالب بيقول ان إذا كانت القوات من نفس الصينية لاتن
+
+211
+00:15:17,350 --> 00:15:21,890
+تن موجبات لاتن تن سالبات U is positive which means
+
+212
+00:15:21,890 --> 00:15:25,290
+that the force is repulsive ولمّا يكونوا موجبات
+
+213
+00:15:25,290 --> 00:15:29,930
+بيكون القوة repulsive ولمّا تكون شباب U positive
+
+214
+00:15:30,820 --> 00:15:35,620
+معناته الجسم عنده طاقة زيادة، صح؟ يعني فلته بتتحرك
+
+215
+00:15:35,620 --> 00:15:39,500
+على مكان معانا معين، هدول أنه يجيب الشحنتين جانب
+
+216
+00:15:39,500 --> 00:15:43,540
+بعض، فلتهم بيبعدوا عن بعض ولا بيبعدوش، هيبعدوا عن
+
+217
+00:15:43,540 --> 00:15:46,980
+بعض، إذا معناته هذا بقول عن قوة repulsive، دايما
+
+218
+00:15:46,980 --> 00:15:50,520
+لما تكون قوة تنافورية، you بتكون positive، تمام؟
+
+219
+00:15:51,260 --> 00:15:54,500
+بقول if the charge R of the same sign U is
+
+220
+00:15:54,500 --> 00:15:57,660
+negative which means that the force is attractive
+
+221
+00:15:57,660 --> 00:16:01,220
+املازجين الطاقد زي لما انا اقول هذه تحت الأرض ما
+
+222
+00:16:01,220 --> 00:16:04,040
+هو املازج في الأرض املازج في الأرض ايش اللي طلعوا
+
+223
+00:16:04,040 --> 00:16:08,000
+على الطاولة بدوا حد يساعده وهدول إلكترونين إلكترون
+
+224
+00:16:08,000 --> 00:16:12,080
+وبروتون خلينا نقول different sign opposite sign
+
+225
+00:16:12,080 --> 00:16:15,820
+إلكترون وبروتون فلتهم يبقوا بعيد؟ بدك حد يبقى
+
+226
+00:16:15,820 --> 00:16:18,620
+أيدهم عن بعض ولا لأ عشان كده U تبعتهم بتكون سالي
+
+227
+00:16:18,620 --> 00:16:22,300
+بعدوانتوا خدتوا في الكيميا الثانوية العامة كمية
+
+228
+00:16:22,300 --> 00:16:26,140
+اذكركم فيها كان في .. ماعرفش انا اشي رمزها احنا
+
+229
+00:16:26,140 --> 00:16:31,780
+نموذها بال E بتساوي سالب تلتاش point ستة electron
+
+230
+00:16:31,780 --> 00:16:37,120
+volt مرّت عليكم كمية دي انا بحاول ميجلدكبس هدى
+
+231
+00:16:37,120 --> 00:16:42,920
+الكمية هدى هى طاقة المضار الأول صح هدى من وين
+
+232
+00:16:42,920 --> 00:16:45,240
+إجتوا؟ مش هو المضار الأول؟ قال المضار الأول هدى هو
+
+233
+00:16:45,240 --> 00:16:48,600
+هنا فيه زائد electron بوتون يعنى و هنا فيه
+
+234
+00:16:48,600 --> 00:16:53,680
+electron بدور حوالين مش هيك؟ يعني هكذا مش احنا فيه
+
+235
+00:16:53,680 --> 00:16:57,760
+تنتهي electron و بوتون تمام؟ يلّا أحسب يوم قال لي
+
+236
+00:16:57,760 --> 00:17:02,940
+يلّا أحسب يوم سوى كي اكيو واحد E اكيو اتنين E بس
+
+237
+00:17:02,940 --> 00:17:08,620
+بالسالبعلى R تربيعي وR تربيعي مسافة طبعا فرقة
+
+238
+00:17:08,620 --> 00:17:11,420
+الهيبروجين اللي يكترنها الـ 0.5 Angstrom اذا كنتوا
+
+239
+00:17:11,420 --> 00:17:16,960
+ذاكرينها 0.5
+
+240
+00:17:16,960 --> 00:17:20,540
+Angstrom احسبها تطلع هذا المقدارهيضيط انا بدى ايجي
+
+241
+00:17:20,540 --> 00:17:26,460
+للسالب عشان إلكترون وبروتون مودة بسالب وعشان هيك
+
+242
+00:17:26,460 --> 00:17:31,900
+هل الإلكترون بفلت من النواء لحاله ولا بده طاقة زى
+
+243
+00:17:31,900 --> 00:17:35,920
+اللى كان على أرض بده طاقة عشان يرجع لف طاولة فهذا
+
+244
+00:17:35,920 --> 00:17:40,690
+مربوطبينه قوة attractive عشان كده U بتكون negative
+
+245
+00:17:40,690 --> 00:17:43,850
+فلما كان تكون دائما U negative بتكون قوة
+
+246
+00:17:43,850 --> 00:17:47,050
+attractive لما تكون U positive بيكون حاجة بتطرد
+
+247
+00:17:47,050 --> 00:17:51,490
+فيه يعني زي هذا فالته بتطرد من المكان هذا بتطرد
+
+248
+00:17:51,490 --> 00:17:58,150
+مقدراش يقعد من مكانه لأن فيه حاجة بترضهو انا اتقلت
+
+249
+00:17:58,150 --> 00:18:01,290
+طاقة اترجع فانت كنت ترجع و انا كنت ناس كفلته طب
+
+250
+00:18:01,290 --> 00:18:03,550
+انا اترجع و بيبقى اختار طاقة شغالة تانية لكن ال
+
+251
+00:18:03,550 --> 00:18:06,410
+الاترون و البروترون بعيدهم عن بعض بحالهم بجالبهم
+
+252
+00:18:06,410 --> 00:18:10,030
+بحالهم بجالبهم ده مش حد يساعدهم إلى الزجاج بعد لإن
+
+253
+00:18:10,030 --> 00:18:12,410
+فيه قوة بيجيبهم تمام؟ حلو
+
+254
+00:18:15,710 --> 00:18:18,730
+هذا الـExample يتوقن بالضحك عنه بيقول لي find the
+
+255
+00:18:18,730 --> 00:18:20,670
+potential energy of the system given in the
+
+256
+00:18:20,670 --> 00:18:23,490
+previous example جيبلي جيب U final كلها التلاتة
+
+257
+00:18:23,490 --> 00:18:27,410
+اللي موجودين هذه التلاتة Q تلاتة جيبلي U final U
+
+258
+00:18:27,410 --> 00:18:31,070
+initial سهلة جيبها انا وياكم نطلع بيقول لي U هذا
+
+259
+00:18:31,070 --> 00:18:35,610
+هي القانون سهل مش تلاتة شباب تلاتة واحد اتنين واحد
+
+260
+00:18:35,610 --> 00:18:39,090
+تلاتة اتنين تلاتة اطلعوا المقام واحد اتنين تلاتة
+
+261
+00:18:39,090 --> 00:18:45,740
+مترأربعة متر اتنين ثلاثة خمسة متر كله معروف تمام
+
+262
+00:18:45,740 --> 00:18:50,880
+اضرب طبعا الموجة موجة بصالب صالب حسب ما هطلعتها
+
+263
+00:18:50,880 --> 00:18:54,820
+الجدّي have you final شباب لو جيب دي حسب انا وياكم
+
+264
+00:18:54,820 --> 00:18:57,060
+you initial ونشوف نطلع مع بعض you initial كيف بدي
+
+265
+00:18:57,060 --> 00:19:01,180
+اجيبها you initial بتساوي كيك كيك واحد كيك اتنين
+
+266
+00:19:01,180 --> 00:19:08,540
+على اعلى واحد كمين صح ولا لا نيجي نحسب بتساوي تسعة
+
+267
+00:19:08,540 --> 00:19:10,260
+في عشر او تسعة صح؟
+
+268
+00:19:24,310 --> 00:19:28,850
+تلاتة في التلاتة في التلاتة في التلاتة في التلاتة
+
+269
+00:19:28,850 --> 00:19:30,990
+في التلاتة في التلاتة في التلاتة في التلاتة في
+
+270
+00:19:30,990 --> 00:19:33,170
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+271
+00:19:33,170 --> 00:19:36,150
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+272
+00:19:36,150 --> 00:19:37,170
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+273
+00:19:37,170 --> 00:19:37,230
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+274
+00:19:37,230 --> 00:19:37,290
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+275
+00:19:37,290 --> 00:19:38,230
+التلاتة في التلاتة في التلاتة في التلاتةبترحوا من
+
+276
+00:19:38,230 --> 00:19:42,830
+بعض بيطلع جواب B من المثال السابق لإيه يتحسب
+
+277
+00:19:42,830 --> 00:19:47,370
+الشباب هذا ناقص هذا بيطلع جواب التاني هي هي طبعا
+
+278
+00:19:47,370 --> 00:19:51,230
+بالتالي مافيش عندي انا أي اشكالية في اني اجيب
+
+279
+00:19:51,230 --> 00:19:56,350
+بطريقة هذه او بطريقة هذه بس فقط انه ال potential
+
+280
+00:19:56,350 --> 00:20:00,070
+energy اللي بيساوي ال work و ال work عرفنا كيف
+
+281
+00:20:00,070 --> 00:20:07,480
+نجيبه الآن العنوانالأساسي الأخر و المهم هو
+
+282
+00:20:07,480 --> 00:20:13,040
+electric potential due to a continuous charge
+
+283
+00:20:13,040 --> 00:20:18,880
+distribution زي ايش؟ زي الرد والرنج والدسك،
+
+284
+00:20:18,880 --> 00:20:24,340
+تذكرينهم؟ تمام، وزي الاسفير والسلندر وكل هذه
+
+285
+00:20:24,340 --> 00:20:29,830
+الأموريقول لي انت كيف حلته المرة هديك؟ كنت اخد
+
+286
+00:20:29,830 --> 00:20:35,130
+عنصر صح ولا لأ؟ اجيب المجال لعنصر ثم اكامل و قبل
+
+287
+00:20:35,130 --> 00:20:38,730
+ما اكامل انت بيتعامل مع vectors كنت اخد المراكبات
+
+288
+00:20:38,730 --> 00:20:41,230
+الصينية لحال و المراكبات الصينية لحال هذا في
+
+289
+00:20:41,230 --> 00:20:45,070
+المجال الكعربائي لما تكون أمور صعبة واحد جاوس يجيب
+
+290
+00:20:45,070 --> 00:20:49,980
+بطريقة تانية ضلي إذا كانالشكل حلو والdistribution
+
+291
+00:20:49,980 --> 00:20:54,060
+سيمتريك بإمكانك تستخدم قانون gauss صح ولا لأ؟ طيب
+
+292
+00:20:54,060 --> 00:20:57,420
+هنا إيش بقى تسوي؟ بيقول if a charge is
+
+293
+00:20:57,420 --> 00:21:01,540
+continuously distributed in a given region two
+
+294
+00:21:01,540 --> 00:21:04,140
+methods will be followed بدي أستخدم طريقة تانية
+
+295
+00:21:04,140 --> 00:21:07,520
+الآن إيش أول طريقة؟بيقول if the charge
+
+296
+00:21:07,520 --> 00:21:11,340
+distribution is well known, we can proceed as we
+
+297
+00:21:11,340 --> 00:21:13,940
+do for calculating the electric field discussed
+
+298
+00:21:13,940 --> 00:21:17,960
+before بيقول إذا الأشكال مقلوفة إلك، إيش هو الملوف
+
+299
+00:21:17,960 --> 00:21:23,440
+لكم؟ الرد ملوف أو مش ملوف؟ و ال disk؟ و ال ring؟
+
+300
+00:21:23,440 --> 00:21:26,660
+هدول السهلين اللي حلتهم أنا بالمجال كربائي بتعرف
+
+301
+00:21:26,660 --> 00:21:30,970
+تاخد رصد لل ring ولا لأ؟ ال disk إيش عنصرها؟ring
+
+302
+00:21:30,970 --> 00:21:34,270
+يعني أنا ماعرفهم صاروا مرين بيقولوا إذا هذا الكلام
+
+303
+00:21:34,270 --> 00:21:37,290
+صار اعمل زي ما كنت أعمل في المجال الكهربائي إيه
+
+304
+00:21:37,290 --> 00:21:41,230
+كنت أعمل في المجال الكهربائي؟ كنت أختار عنصر؟ كده
+
+305
+00:21:41,230 --> 00:21:44,730
+الشحنات للعنصر؟ دي كيو بعد كده كنت أجيب المجال أنا
+
+306
+00:21:44,730 --> 00:21:49,810
+إيش بدي أجيب؟ الجهودDV بيقولي بعد كده finding the
+
+307
+00:21:49,810 --> 00:21:53,810
+potential DV due to this element ده element واحد و
+
+308
+00:21:53,810 --> 00:21:56,230
+بعد كده بعد كده احنا نسوي و ده كامل هنا قبل ما
+
+309
+00:21:56,230 --> 00:21:58,730
+كامل حاطة الملاعظة هنا مافيش ملاحظة لإنها بتتعامل
+
+310
+00:21:58,730 --> 00:22:01,790
+مع scalars صح ولا لأ يعني ده بتتطلع لأ على
+
+311
+00:22:01,790 --> 00:22:07,210
+directions ولا على حاجة بعد كده بيقولي and then
+
+312
+00:22:07,210 --> 00:22:09,370
+integrating over the entire child distribution
+
+313
+00:22:09,370 --> 00:22:14,360
+وكامل بطلع الجواب فيش أسهل منهطيب طب و اذا لاقي
+
+314
+00:22:14,360 --> 00:22:17,800
+الشكل مش مشهور و بغلبني بقولي برضه في عندك طريقة
+
+315
+00:22:17,800 --> 00:22:21,300
+تانية بقولي if the electric field of that charge
+
+316
+00:22:21,300 --> 00:22:24,400
+distribution can't be calculated easily اذا عندك
+
+317
+00:22:24,400 --> 00:22:29,140
+الشكل غلبك لكن في حالة ان المجال تعرف تجيبه بسهولة
+
+318
+00:22:29,140 --> 00:22:32,900
+بسطر نص سطر وهذا متاتاش إلا إذا كان قانون جرسي عن
+
+319
+00:22:32,900 --> 00:22:37,000
+طبيقة انك تجيبه بسطربقوليش مانعت easily بقولك
+
+320
+00:22:37,000 --> 00:22:39,960
+using gauss law for instance إذا تقدر تطبق عليها
+
+321
+00:22:39,960 --> 00:22:41,760
+قوانين gauss قوانين gauss فانت تتطبق عليها على
+
+322
+00:22:41,760 --> 00:22:45,780
+ثلاث أنواع، ذاكرينها؟ إذا هذا الحل يعني إيه انت
+
+323
+00:22:45,780 --> 00:22:49,340
+جبته، جالي ارجع لأصل القانون، إيش هو أصل القانون؟
+
+324
+00:22:49,340 --> 00:22:52,580
+بقولك هي أصل القانون، V عند نقطة تساوي السيارة
+
+325
+00:22:52,580 --> 00:22:55,320
+المالة نهارة من نقطة P، E بوتد ديالها، جت إيه؟
+
+326
+00:22:55,320 --> 00:22:58,120
+انجابت ولا مانجابتش؟ شرطها مانجابت، خلاص بصير
+
+327
+00:22:58,120 --> 00:23:02,170
+التكامل عادة سهل التعامل معاهإن هذه الطريقة أو هذا
+
+328
+00:23:02,170 --> 00:23:06,350
+الطريقة و حسب الشكل و احنا هتصير مفهومين ضمنها
+
+329
+00:23:06,350 --> 00:23:10,510
+نبدأ بالطريقة الأولى الأشكال الحلوة اللي اتعرفنا
+
+330
+00:23:10,510 --> 00:23:16,730
+عليها بيقول a wire of length LHas a tragic U
+
+331
+00:23:16,730 --> 00:23:21,510
+uniformly distributed يعني Lambda ثابتة uniformly
+
+332
+00:23:21,510 --> 00:23:26,030
+distributed طبعا Lambda اخترت لأنه لعي طبعا Find
+
+333
+00:23:26,030 --> 00:23:28,250
+the electric potential at a point along its axis
+
+334
+00:23:28,250 --> 00:23:31,730
+and a distance a from one end ايه ولا دي انا
+
+335
+00:23:31,730 --> 00:23:36,830
+عاملها ولا انا عارف طبعا
+
+336
+00:23:36,830 --> 00:23:41,370
+الذاكرين نقطة في المجال هناصح فى المجال اللى فوق
+
+337
+00:23:41,370 --> 00:23:45,210
+كانت النقطة هنا طبعا لو أخدنا نقطة فوق حصير فى
+
+338
+00:23:45,210 --> 00:23:49,010
+صعوبة فى المجال ال directions وإذا كنتوا ذاكرين او
+
+339
+00:23:49,010 --> 00:23:52,250
+مش ذاكرين إذا كنتوا حالين فى الابتعاد فى سؤال
+
+340
+00:23:52,250 --> 00:23:57,180
+النقطة فى النص فوق هناصح ولا لأ؟ كان المفروض انك
+
+341
+00:23:57,180 --> 00:24:01,000
+تحلها طبعا كل ما اتغيرت النقطة شباب بالنسبة للمجال
+
+342
+00:24:01,000 --> 00:24:05,900
+معضلة لأن ال directions بتغير صح الجهد لأ الجهد
+
+343
+00:24:05,900 --> 00:24:08,860
+وين ما بتحطها بتلاقي الأمور أسهل شوف واحد طل
+
+344
+00:24:08,860 --> 00:24:13,260
+النقطة فوق كان بيدأ اشتغل قال اشتغل زي ما اشتغلت
+
+345
+00:24:13,260 --> 00:24:18,240
+في المجال واتميزي تسويهبيقولي we divide the wire
+
+346
+00:24:18,240 --> 00:24:23,220
+الأحمر into small elements each of length dx and
+
+347
+00:24:23,220 --> 00:24:28,360
+charge dq دي اكس عشان هو محور الصيني هال .. هال
+
+348
+00:24:28,360 --> 00:24:32,700
+شفتوا عنصر كيف؟ عنصري أنا عارف جدش احنا تقولنا؟ دي
+
+349
+00:24:32,700 --> 00:24:37,300
+كيو و طوله دي اكس اختارته عنصر الخطوة التالية تبقى
+
+350
+00:24:37,300 --> 00:24:39,820
+عن عنصر اللي اختارته ممكن اعتبره point ولا مش
+
+351
+00:24:39,820 --> 00:24:43,640
+ممكن؟ point point و ال point بقدر أديه بجهد ل
+
+352
+00:24:43,640 --> 00:24:51,200
+point A KQ على RV بيتساوي KQ over R هي قانون ال
+
+353
+00:24:51,200 --> 00:24:54,420
+point هو أنا أخدت أنصر عشان أرجع أطبق عليه جاني
+
+354
+00:24:54,420 --> 00:24:57,080
+يجيب جهده الآن على اعتبار المسافة هذه اعتبارها X
+
+355
+00:24:57,080 --> 00:25:05,960
+جديش جهد DQ شباب الجهد بالنسبة للأنصر KDQ على X
+
+356
+00:25:08,890 --> 00:25:12,210
+Since each element can be considered as a pointed
+
+357
+00:25:12,210 --> 00:25:15,070
+charge, the electric potential اللي بدي يصير رمزه
+
+358
+00:25:15,070 --> 00:25:18,750
+DV عشان انه جايب هذا العنصر, due to one of these
+
+359
+00:25:18,750 --> 00:25:21,950
+elements a distance x-r of B is
+
+360
+00:25:27,910 --> 00:25:32,790
+تمام احنا ماشي بنشتغل .. اه البعد R تمام KDQ على R
+
+361
+00:25:32,790 --> 00:25:37,090
+.. حلو؟ KDQ على R .. R بقدر يجيبها من FIFA Worlds
+
+362
+00:25:37,090 --> 00:25:42,070
+ولا لا؟ بقدر يجيبها .. طلعناها .. مدهن .. هذا
+
+363
+00:25:42,070 --> 00:25:45,390
+العنصر .. إيش بدي أسوي الآن؟ ذاكت كامل .. بدي أطلع
+
+364
+00:25:45,390 --> 00:25:49,130
+على ال direction؟هو ميزة كبيرة، مش طبعا عادلش، لو
+
+365
+00:25:49,130 --> 00:25:53,030
+حد بتجيب المجال، كما قلت المجال هي اتجاهه، طب غير
+
+366
+00:25:53,030 --> 00:25:57,310
+العنصر، اتغير المجال، اتجاهه، طب احط العنصر هنا،
+
+367
+00:25:57,310 --> 00:26:00,350
+اتغير الاتجاه، وبالتالي كيبك السوي، كيبك تحلي
+
+368
+00:26:00,350 --> 00:26:02,390
+المراقبة الصينية و المراقبات الصادرية، هنا مافيش
+
+369
+00:26:02,390 --> 00:26:05,690
+كل هذا كلام، انت جبت الجهد، بعدين يقولك القطة
+
+370
+00:26:05,690 --> 00:26:10,450
+التالية، التكامل مباشرة، بعد ما جبت DV، ايش تكامل
+
+371
+00:26:10,450 --> 00:26:16,110
+ال DV؟هذه المدكية كامل دي دي بتطلع لك V كلها بيقول
+
+372
+00:26:16,110 --> 00:26:20,690
+since we are dealing with a scalar quantity we can
+
+373
+00:26:20,690 --> 00:26:24,430
+integrate the above expression directly to get the
+
+374
+00:26:24,430 --> 00:26:25,990
+potential due to the wall wire
+
+375
+00:26:30,520 --> 00:26:34,580
+معاضلة ولا تعمل .. مضطر تعمل اي check لأي شغلة ال
+
+376
+00:26:34,580 --> 00:26:37,540
+result is .. هاي التكامل .. حط شرط التكامل .. حط
+
+377
+00:26:37,540 --> 00:26:40,480
+يطرح .. حاجات خلصت الفيزية تقريبا .. بدك اعمل
+
+378
+00:26:40,480 --> 00:26:44,660
+رياضيها .. صح ولا لا .. دي q و تحت x .. في عندي
+
+379
+00:26:44,660 --> 00:26:48,460
+متغيرين .. x متغير و q متغير .. هيبدأ يجيب علاقة
+
+380
+00:26:48,460 --> 00:26:52,010
+بينهم .. طبعا اتعلمنا lambdaبرضه سهل انا بعملها
+
+381
+00:26:52,010 --> 00:26:56,030
+سهل لأ using the relation between dq and dx i.e.
+
+382
+00:26:56,150 --> 00:26:59,470
+dq بيسوي lambda في dx أخدتوها ولا ما أخدناهاش؟
+
+383
+00:26:59,470 --> 00:27:08,730
+أخدناها سابقا مقلوفة ان طب حط اذا ك أيه صارت طيب
+
+384
+00:27:08,730 --> 00:27:13,410
+انا لسه ماعملتاش هنا هدا هي صارت بدل ال dq حطت
+
+385
+00:27:13,410 --> 00:27:17,010
+lambda dx شوف من صفر اللي قيلها دي انا اعملها هنا
+
+386
+00:27:18,630 --> 00:27:22,570
+شوفوا هذه العنصر هو قاعد بتحرك، هيك بيغطي كل الرد
+
+387
+00:27:22,570 --> 00:27:27,890
+ولا لأ، هذه العناصر هي الممكنة، من البداية لنهاية،
+
+388
+00:27:27,890 --> 00:27:31,050
+طبعا انت تصلوا لو هو بتحرك، X تبعته، مش بتمشي
+
+389
+00:27:31,050 --> 00:27:35,870
+معاه، إيش أصغر قيمة ل X؟ و أكبر قيمة؟ وهذه حدود
+
+390
+00:27:35,870 --> 00:27:39,820
+التكاملو هذه هي حدود التكامل شباب واضح حدود
+
+391
+00:27:39,820 --> 00:27:43,600
+التكامل كيف بنجيبها؟ أنا قاعد أجمع عناصر لشغل أنا
+
+392
+00:27:43,600 --> 00:27:49,180
+عرفها محدودة من أول رد لآخر رد من أول wire لآخر
+
+393
+00:27:49,180 --> 00:27:54,690
+wire من أول wire طبعا المتغير اللي عندي شوه Xبتطلع
+
+394
+00:27:54,690 --> 00:27:59,230
+العنصر هذا هو بيمشي X تبعته من وين لوين بتتغير
+
+395
+00:27:59,230 --> 00:28:03,370
+بقول بتتغير من Zero لحد ال L من Zero لحد ال L
+
+396
+00:28:03,370 --> 00:28:07,710
+طلعتها من Zero لحد ال L خلصت هيكل فيها 100% الشغل
+
+397
+00:28:07,710 --> 00:28:12,630
+بعد كده ال calculus هذا سهل في جلدة كتب ال
+
+398
+00:28:12,630 --> 00:28:17,270
+calculus هذا تكامل مشهور في جلدة في جلدة كتب ال
+
+399
+00:28:17,270 --> 00:28:19,850
+calculus كلها اما في البداية او في النهاية بحطوا
+
+400
+00:28:19,850 --> 00:28:25,500
+تكاملات مشهورة جدا هذا حقوم منهمهذا بيكون منهم،
+
+401
+00:28:25,500 --> 00:28:28,940
+تمام؟ زي ما قلتلكم احنا بنحاسس مش كيف يجي التكامل،
+
+402
+00:28:28,940 --> 00:28:35,160
+لكن هذا مشهور بتلعلن بهذا الشكل، بتجيبوه، أبعطه
+
+403
+00:28:35,160 --> 00:28:37,940
+بالامتحان، ما بقولك أنا في جدي في كتاب ال calculus
+
+404
+00:28:37,940 --> 00:28:41,600
+عشان أقولك ما تحفظهوش، هي إن مانديكي في كل كتاب
+
+405
+00:28:41,600 --> 00:28:44,620
+calculus في الجد ده بحطه بعض التكاملات، تمام؟ وهذا
+
+406
+00:28:44,620 --> 00:28:48,890
+منهمطبعا انا بس بجرد حاجة بتتكامل عوارق من صفر
+
+407
+00:28:48,890 --> 00:28:54,290
+اللي قيل وطلع بهذا الشكل طبعا من جرد شغل انه لمضى
+
+408
+00:28:54,290 --> 00:28:57,250
+بالساعة Q على L وطلع الجواب المش مهم ان انا عندي
+
+409
+00:28:57,250 --> 00:29:01,190
+جواب المهم الطريقة اللي اتعاملت معها أخدت عنصر
+
+410
+00:29:01,190 --> 00:29:06,190
+جيبت جهده للعنصر وكملت وحدود التكامل بدي أفهمها
+
+411
+00:29:06,190 --> 00:29:08,950
+بشوف المتغير بشوف العنصر من وين بديه يبدأ ومن وين
+
+412
+00:29:08,950 --> 00:29:12,350
+بديه يخلص و هذا المتغير ايش بديه يصير اول قيمة له
+
+413
+00:29:12,350 --> 00:29:20,440
+واخر قيمة له تمامهذه معروفة كمان مثال بيقول ال
+
+414
+00:29:20,440 --> 00:29:25,440
+ring اخدنا جبه كده ولا لأ اخدنا برضه مشهور well
+
+415
+00:29:25,440 --> 00:29:28,970
+knownof radius capital R has a uniform charge
+
+416
+00:29:28,970 --> 00:29:33,950
+distribution of magnitude capital Q.Calculate the
+
+417
+00:29:33,950 --> 00:29:37,710
+electric potential along the axis of the ring at a
+
+418
+00:29:37,710 --> 00:29:40,950
+point P lying a distance d from the center of the
+
+419
+00:29:40,950 --> 00:29:41,090
+ring.
+
+420
+00:29:53,630 --> 00:29:57,810
+again we divide the wire into small elements each
+
+421
+00:29:57,810 --> 00:30:00,290
+of which execute شوف انا سميت wire هنا ماهو wire
+
+422
+00:30:00,290 --> 00:30:06,250
+بفمتني صح ولا لأ ماهو wire هاي عنصري شفتهه الأحمر
+
+423
+00:30:06,250 --> 00:30:12,970
+الغامق تمه بعد ما جبت العنصر بدي اجيب DV له DV
+
+424
+00:30:12,970 --> 00:30:17,790
+عشان اجيب DV بدي هذه المسافة صح ولا لأ اتبع غرار
+
+425
+00:30:18,850 --> 00:30:21,050
+Each element can be considered as a point of
+
+426
+00:30:21,050 --> 00:30:24,590
+charge, صحيح؟ So, the electric potential dV due to
+
+427
+00:30:24,590 --> 00:30:30,730
+one of these elements at B is Kdq على R صحيح؟
+
+428
+00:30:30,730 --> 00:30:35,110
+مكرر، خطوات مكررة، طب R، تقدر تجيب قيمتها R برضه
+
+429
+00:30:35,110 --> 00:30:38,990
+في الcourse، بيسوي جزء التربيع إلى R² plus D²،
+
+430
+00:30:38,990 --> 00:30:43,930
+صحيح ولا لأ؟ و هذا ايه؟ إيش الخطوة بعدها؟ كامل
+
+431
+00:30:44,540 --> 00:30:49,300
+ولمّات كامر طبعا كل ثابت بطلع برا يقول دي مثل هذه
+
+432
+00:30:49,300 --> 00:30:54,560
+طبعا على المقام شباب ثابت
+
+433
+00:30:54,560 --> 00:31:01,080
+ايش بتردي هو التكامل دي Q ايش تكاملها؟ شوفوا مثل
+
+434
+00:31:01,080 --> 00:31:04,720
+هذا السؤال الصغير بيقول integrating with all
+
+435
+00:31:04,720 --> 00:31:10,960
+constants are taken out of the integral we get
+
+436
+00:31:13,530 --> 00:31:18,550
+طبعا احنا نعملش .. طبعا مافيش عندي انا اي مشكلة هي
+
+437
+00:31:18,550 --> 00:31:22,750
+العناصر عشان اعرف انه احنا عصرنا .. اكامل بالظبط
+
+438
+00:31:22,750 --> 00:31:25,650
+زي هي تصير الشباب التكامل انا بكامل و كإن انا بجمع
+
+439
+00:31:25,650 --> 00:31:28,770
+جميع العناصر هذه هي معناه التكامل بجمع جميع
+
+440
+00:31:28,770 --> 00:31:33,350
+العناصر هذي الطول ماهي لاش هذي دي بتتغير و قبط ال
+
+441
+00:31:33,350 --> 00:31:38,420
+R يعني هذي ثابت صحإذا ما حكم، مظبوط ولا لأ؟ حدثها
+
+442
+00:31:38,420 --> 00:31:42,240
+بالصح طول ما هي ماشية لا أرض غيرت ولا دي اتغيرت
+
+443
+00:31:42,240 --> 00:31:45,760
+لإن دي بلقت بين مقاطين ثابتتين أصلا و العنصر و هو
+
+444
+00:31:45,760 --> 00:31:49,500
+ماشي لا اتغير الدي ولا اتغير نص القطر وبالتالي انا
+
+445
+00:31:49,500 --> 00:31:53,800
+كل فرق تطلعك برا فخلينا نعمل هال .. طبعا احنا ممكن
+
+446
+00:31:53,800 --> 00:31:56,450
+نقول مسافر لكاتب EQ، ذاكرين؟وإن لو بدنا نشغل
+
+447
+00:31:56,450 --> 00:31:58,690
+Calculus نقول من Zero لCapital Q لو بدنا نشغل
+
+448
+00:31:58,690 --> 00:32:01,990
+Calculus نقول DQ ماهي Capital Q بس هنا عشان واحد
+
+449
+00:32:01,990 --> 00:32:05,150
+طبحها ويقول خليها تكون حلوة يعنى مش أكتر عامة لو
+
+450
+00:32:05,150 --> 00:32:08,350
+أنا ماحطتش من Zero لCapital Q ويتكامل DQ بالساوية
+
+451
+00:32:08,350 --> 00:32:15,610
+Capital Q صح لأن ال Total Q هي Capital Q تمام هذه
+
+452
+00:32:15,610 --> 00:32:18,590
+كلها هي Q تمام
+
+453
+00:32:24,520 --> 00:32:28,620
+طبعا المرة دي كان المجال عند ال center تبع ال ring
+
+454
+00:32:28,620 --> 00:32:33,200
+كده؟ Zero طب هل يجيوا عند ال center هذي تطلع Zero؟
+
+455
+00:32:33,200 --> 00:32:39,520
+ماتطلعش، اتطلع حد يسوي سفينة و طلعت هيك؟ هذي بتشبه
+
+456
+00:32:39,520 --> 00:32:45,260
+ال point بيقولي هذي و كأنها ال ring صارت نقطة و
+
+457
+00:32:45,260 --> 00:32:50,070
+صارت نقطة وين على ال centerصح ساعة الريم كلها هو
+
+458
+00:32:50,070 --> 00:32:54,450
+كده في ال center تمام المهم بتيجي عندى او خلينا
+
+459
+00:32:54,450 --> 00:32:56,870
+نلعب معاكة تالية خلينا نرجحها نريكم كيف جت هذه
+
+460
+00:32:56,870 --> 00:33:03,330
+تلعب بيقول يهو انت مش هادي عدة عناصر لو اعتبرتهم
+
+461
+00:33:03,330 --> 00:33:08,010
+مية تمام ويجيب جهد بيقول الجهد بالثاوية كيه كيه
+
+462
+00:33:08,010 --> 00:33:12,300
+واحد ع الار واحد كداش ع الار واحد شبابانت النقطة
+
+463
+00:33:12,300 --> 00:33:15,240
+عندك ع ال center هجيت النقطة ع ال center أخدت أنصر
+
+464
+00:33:15,240 --> 00:33:22,580
+جدش البعد بين أنصر و ال center capital R زاد KQ2
+
+465
+00:33:22,580 --> 00:33:30,560
+يعني انت بتقول V بتساوي KQ1 على capital R زاد Q2
+
+466
+00:33:30,560 --> 00:33:35,980
+على capital R زاد Q3 على capital R هكذا صح او لا؟
+
+467
+00:33:35,980 --> 00:33:39,720
+capital R طيب اطلع مرة طب Q1 و Q2 و Q3 مش كلها
+
+468
+00:33:39,720 --> 00:33:44,140
+capital Qهي اللى طلعت معايا تمام اذا الجواب كان
+
+469
+00:33:44,140 --> 00:33:54,720
+منطقي اصلا اللى انا حكيته طبيعي تمام كمان مثال a
+
+470
+00:33:54,720 --> 00:33:59,570
+disk of radius capital RA disk of radius capital R
+
+471
+00:33:59,570 --> 00:34:06,550
+has a uniform charge density sigma Calculate the
+
+472
+00:34:06,550 --> 00:34:09,950
+electric potential along the axis of the disk at a
+
+473
+00:34:09,950 --> 00:34:12,590
+point P lying a distance capital D from the center
+
+474
+00:34:12,590 --> 00:34:16,010
+of the disk كمان مرة يا شباب هذه نسقطرها capital R
+
+475
+00:34:16,010 --> 00:34:17,170
+وبدي الجود عند نقطة D
+
+476
+00:34:24,250 --> 00:34:27,390
+طيب جهد العوض لل revenge جبته توانا وياكم ولا لأ؟
+
+477
+00:34:27,390 --> 00:34:33,530
+جاهز .. هذا طبعا حكينا إله نسقط وإله سموك، نفس
+
+478
+00:34:33,530 --> 00:34:38,930
+القضيةfrom the results of the previous example انا
+
+479
+00:34:38,930 --> 00:34:43,450
+بدي DV DV هي جهد ال ring و جهد ال ring عملته بال
+
+480
+00:34:43,450 --> 00:34:48,930
+previous example فبدي اخدي جواب DV بتسوى K بدل Q
+
+481
+00:34:48,930 --> 00:34:54,570
+حط ال DQ و بدل A حطي اسمه R و هاي جواب تبعي هاي DV
+
+482
+00:34:54,570 --> 00:35:00,930
+بقول بعد كده كامل هل المقام ثابت؟ لألأن المقام فيه
+
+483
+00:35:00,930 --> 00:35:05,030
+small r وsmall r تابع للعنصر وكل عنصر نص قطر
+
+484
+00:35:05,030 --> 00:35:08,950
+ومختلف عن العنصر الآخر إذا المقام ثابت طيب بلاش
+
+485
+00:35:08,950 --> 00:35:14,450
+خلّي جوا كامل بقولي بعشرة كامل بدي علاقة بال DQR
+
+486
+00:35:14,450 --> 00:35:22,010
+سيجما ذاكرين مساحة ال ring لما جثتها بالمجث فردتها
+
+487
+00:35:23,460 --> 00:35:28,600
+DN by R طول في العرض الصمغ فDA بيساوي 2N by RDR
+
+488
+00:35:28,600 --> 00:35:32,180
+إذا برضه أخدتها شوف العملية كيف أصبح سهلة أنه أنا
+
+489
+00:35:32,180 --> 00:35:37,920
+مرض عليها قبل كده تمام؟ using the relation between
+
+490
+00:35:37,920 --> 00:35:46,100
+DQ and R IE DQ بيساوي Sigma DA هذا بيعرفها و DE
+
+491
+00:35:46,100 --> 00:35:50,640
+بيساوي 2N by RDR اللي توي حكيته عنها إذا أصلا عندي
+
+492
+00:35:50,640 --> 00:35:55,300
+طبعا من صفر لكبة ال R عارفينهالأن حدودها أنا
+
+493
+00:35:55,300 --> 00:36:00,060
+راسمها مش راسمها هنا شايفين ال ring هذي ring واحدة
+
+494
+00:36:00,060 --> 00:36:03,860
+عشان تكون ال ring تغطيهم كلها بتكون أصغر ring و
+
+495
+00:36:03,860 --> 00:36:07,680
+أكبر ring أول ring انتيجة نسختهها zero و أكبر ring
+
+496
+00:36:07,680 --> 00:36:11,000
+كبت ال R عشان كده الحدود التكامل طلعت معايا بهذا
+
+497
+00:36:11,000 --> 00:36:15,300
+الشكل طبعا هذا تكامل فيه السهل لأن هذي DU و هذي U
+
+498
+00:36:15,980 --> 00:36:20,880
+هذه DU وهذه U فببتابتين اعملها هيك و بجمحها تظهر
+
+499
+00:36:20,880 --> 00:36:24,940
+بهذا الشكل برضه جهار الإجابات مافيش عندي اي
+
+500
+00:36:24,940 --> 00:36:30,820
+إشكالية في SSR شباب اللي أمثلة تلاتة أمثلة مقررة
+
+501
+00:36:30,820 --> 00:36:36,210
+بس شوفتوا انتواطبعا سهلت عشان اتكررت لكن برضه ال
+
+502
+00:36:36,210 --> 00:36:39,590
+calculation تبعها سهل لأنها scalars ذاكرين انتوا
+
+503
+00:36:39,590 --> 00:36:42,530
+لما اشتغلنا ع ال ring و احنا بنجيب المجال اضطررنا
+
+504
+00:36:42,530 --> 00:36:45,650
+نعمل symmetry و ال y component تتغير و ال x
+
+505
+00:36:45,650 --> 00:36:49,090
+component ينحى فهذا كل الموال لزمنا مرة هذه
+
+506
+00:36:49,090 --> 00:36:53,970
+مالزمناش لأنه انا بتعامل مع scalars بقولي جيب عصر
+
+507
+00:36:53,970 --> 00:36:58,760
+جيب جهد العصر كامل بدون ما تعمل اشيعلى طول، إذاً
+
+508
+00:36:58,760 --> 00:37:04,420
+العملية كثير بتكون سهلة الآن الطريقة التانية
+
+509
+00:37:04,420 --> 00:37:09,300
+بيقولّي لو كان عندك الشكل صعب و اجهرت ال JPE
+
+510
+00:37:09,300 --> 00:37:12,200
+استخدم الطريقة التانية، شوف هو المثال يا شباب
+
+511
+00:37:12,200 --> 00:37:17,380
+بيقولّي I'm insulating solid sphere insulating
+
+512
+00:37:17,380 --> 00:37:21,420
+solid sphere طبعاً جوا الشحنات موجودة ولا مش
+
+513
+00:37:21,420 --> 00:37:24,920
+موجودة؟ لأنها insulating مش conductorالسفير
+
+514
+00:37:24,920 --> 00:37:26,340
+السليماني السليماني السليماني السليماني السليماني
+
+515
+00:37:26,340 --> 00:37:27,200
+السليماني السليماني السليماني السليماني السليماني
+
+516
+00:37:27,200 --> 00:37:27,620
+السليماني السليماني السليماني السليماني السليماني
+
+517
+00:37:27,620 --> 00:37:29,740
+السليماني السليماني السليماني السليماني السليماني
+
+518
+00:37:29,740 --> 00:37:31,000
+السليماني السليماني السليماني السليماني السليماني
+
+519
+00:37:31,000 --> 00:37:36,740
+السليماني السليماني السليماني السليماني السليماني
+
+520
+00:37:36,740 --> 00:37:40,100
+السليماني السليماني السليماني السليماني السليماني
+
+521
+00:37:40,100 --> 00:37:41,240
+السليماني السليماني السليماني السليماني السليماني
+
+522
+00:37:41,240 --> 00:37:48,000
+السليماني السليماني السليماني السليماني
+
+523
+00:37:54,250 --> 00:37:57,970
+طيب اخد عنصر جالي و الله بتورط لو خدت عنصر لأن ايش
+
+524
+00:37:57,970 --> 00:38:00,930
+عنصر هذا بدي تاخد عنصر اما في dimensions او لو
+
+525
+00:38:00,930 --> 00:38:04,850
+عنصر هيكون عندك disk الكورة عبارة عن عدة disks بس
+
+526
+00:38:04,850 --> 00:38:08,150
+كل disk أكبر من التاني بشوية صح ولا لأ عشان تجيب
+
+527
+00:38:08,150 --> 00:38:12,050
+كورة انت تجيب diskات صغيرة ثم تكبل تكبل تكبل لما
+
+528
+00:38:12,050 --> 00:38:16,590
+تصير عندك النص التحتاني بعدين تتعود تصغر diskات و
+
+529
+00:38:16,590 --> 00:38:21,370
+تجيبهم صح ولا لأ تصير عندك كورة فالعنصر تبع ال
+
+530
+00:38:21,370 --> 00:38:27,270
+sphere هو diskالـ Discriminator برضه غلب أنك تجيبه
+
+531
+00:38:27,270 --> 00:38:30,830
+و بعدين تكامل فخلّيني أحله بطريقة تانية قاللي هدف
+
+532
+00:38:30,830 --> 00:38:34,270
+من طبق أي قانون جوزه ولا لأ إذا أسهل أنك تجيب إيه
+
+533
+00:38:34,270 --> 00:38:38,230
+إذا بدي أحله بطريقة هذه شباب بقول هذه الاسفير
+
+534
+00:38:38,230 --> 00:38:44,090
+solution for outside the sphere we have هذه النقطة
+
+535
+00:38:44,090 --> 00:38:46,970
+إلى أن تلعب شباب أنا بدي أجيب جيب عند النقطة اللي
+
+536
+00:38:46,970 --> 00:38:50,450
+انتوا شايفينها اللي تبعد مسافها R قاللي ده تاخد
+
+537
+00:38:50,450 --> 00:38:55,350
+أنصر و تتغلب حالك استخدم هذا القانونمش هدا
+
+538
+00:38:55,350 --> 00:39:00,950
+القانون؟ ايه اللي جوا المتكامل؟ ايه اللي بدكيها؟
+
+539
+00:39:00,950 --> 00:39:05,210
+هل عنده نقطة؟
+
+540
+00:39:05,210 --> 00:39:10,750
+مش اتفقنا التكامل هو .. جماعة لما يقوللي تكامل من
+
+541
+00:39:10,750 --> 00:39:15,060
+هذه الحيطة لهذه الحيطة بدي اجمع من وين لوينيعني لو
+
+542
+00:39:15,060 --> 00:39:18,720
+بده هجتي كامل شدت المجال من الحيطة هذه للمجال هذه
+
+543
+00:39:18,720 --> 00:39:22,440
+ل الحيطة هذه اي مجال بده؟ بده كل المجال اللي جوا
+
+544
+00:39:22,440 --> 00:39:28,060
+صح و هو ماشي اش بجانب المجال بدهيا صح ولا لأ؟ زي
+
+545
+00:39:28,060 --> 00:39:31,660
+طب و احنا ماكننا نحرك العنصرطول ما هو ماشي بده
+
+546
+00:39:31,660 --> 00:39:35,820
+يحسب انا لقاه بده كامل من الحط هذى بالحط هذى بدي
+
+547
+00:39:35,820 --> 00:39:38,940
+المجال عنده نقطة هذى؟ لأ بدي المجال هنا و هنا و
+
+548
+00:39:38,940 --> 00:39:41,320
+هنا و هنا و هنا طب انا من هنا لين بكامل؟ اقول من
+
+549
+00:39:41,320 --> 00:39:45,480
+من النهاية لما تصل النقطة بيه لذا بدك المجال تبدأ
+
+550
+00:39:45,480 --> 00:39:50,680
+من من النهاية و تضلك ماشي لما تصلها المجال هذا
+
+551
+00:39:50,680 --> 00:39:55,290
+بدكيه؟ بلزمك؟ بلزمكاشطيب انت وانت من المنال
+
+552
+00:39:55,290 --> 00:39:58,110
+النهاية لما تصل هذه النقطة بتكون برا ولا ماتكونش
+
+553
+00:39:58,110 --> 00:40:01,550
+برا؟ بتكون برا، إذاً بدك E out ولا ماتكش E out؟ E
+
+554
+00:40:01,550 --> 00:40:06,410
+out اللي بيشتغل معاك، بدك E out تمى، طيب، من هنا
+
+555
+00:40:06,410 --> 00:40:09,470
+لهنا بدي، اه، هاي، اه، تمت من المنال النهاية تحت،
+
+556
+00:40:09,470 --> 00:40:12,850
+شباب، بدي أمشي من المنال النهاية طول ما فيه E هنا،
+
+557
+00:40:12,850 --> 00:40:17,150
+بدي أجمعه، هاي التكامل، شباب، عشان نصفي عنه ال
+
+558
+00:40:17,150 --> 00:40:19,710
+sense واضح، مش معناه التكامل، أنا بكامل E dot
+
+559
+00:40:19,710 --> 00:40:22,490
+الـDL، الشيئة إيه هذه، بقولي E طول ما أنت ماشي،
+
+560
+00:40:22,490 --> 00:40:27,160
+بيبقى E جمعهم،إيه مختلفة بيضعوها داخلها، إيه
+
+561
+00:40:27,160 --> 00:40:31,140
+بتشبهها ضعها اتخدهم مش مشكلة تمام إذا إيه بتديها
+
+562
+00:40:31,140 --> 00:40:34,900
+من هنا إلى هناك حلو بيقول but إيه here is the
+
+563
+00:40:34,900 --> 00:40:37,930
+electric field outside the sphereفي كل المنطقة
+
+564
+00:40:37,930 --> 00:40:42,110
+وانت ماشي مش ايه برا بتكون وانت ايه برا جبته نفس
+
+565
+00:40:42,110 --> 00:40:46,810
+المثال هذا قبل هيك جبته قولت او جد ايه outside the
+
+566
+00:40:46,810 --> 00:40:50,430
+sphere و جبته بسطر اذا مجيوب عندك او ممكن تقول ده
+
+567
+00:40:50,430 --> 00:40:55,310
+يعطيك yeah جاهز a given by هيها جبتها من المثال
+
+568
+00:40:55,310 --> 00:40:59,810
+السابق شباب من المثال في قرون جاوس ال q على اربع
+
+569
+00:40:59,810 --> 00:41:03,730
+با يابسون وارتبيع جبتها انا وياك قبل هيك مجيوبة
+
+570
+00:41:04,370 --> 00:41:07,110
+هكذا احنا ايام اجيبناها عند النقطة هادي طب عند
+
+571
+00:41:07,110 --> 00:41:09,930
+النقطة هادي ماهي نفسها بس اركبريه عند النقطة هادي
+
+572
+00:41:09,930 --> 00:41:13,130
+ماهي نفسها عند النقطة هادي هي نفسها اذا هادي ايه
+
+573
+00:41:13,130 --> 00:41:17,730
+اللي هان بتنفع لأي نقطة من ها اللي هان ولا بتنفعش
+
+574
+00:41:17,730 --> 00:41:21,430
+تنفع على اعتبار ان الارهادي ماهي متغيرة طول ما هي
+
+575
+00:41:21,430 --> 00:41:24,790
+تكبر تكبر و تصغر تصغر بقى مش فلت ولا مافلتش المهم
+
+576
+00:41:24,790 --> 00:41:30,630
+واضح؟إذا ال E اللي بدك إيها هيها طبعا مش ثابتة اه
+
+577
+00:41:30,630 --> 00:41:34,750
+مش ثابتة لإن هيها المتغيرة تتغير معاك لكن هي E
+
+578
+00:41:34,750 --> 00:41:43,250
+outside حلو جالي إذا حطها حطناها طبعا ليش فيه bust
+
+579
+00:41:45,890 --> 00:41:50,730
+ذاكرين a.i وقلنا ax وdx.r unit vector بصير dr
+
+580
+00:41:50,730 --> 00:41:55,570
+عملناها المرة هذيك لسه وانا مش طاق فهذه dr اوف dr
+
+581
+00:41:55,570 --> 00:41:59,270
+على r تربيع في حد ماعرفش كاملها بسوى سالب واحد على
+
+582
+00:41:59,270 --> 00:42:05,110
+r سالب مع السالب راحت صارت هيك واحد على r رقص واحد
+
+583
+00:42:05,110 --> 00:42:09,430
+عمله نهاية واحد و واحد على r هاي بطلع الجواب هاي
+
+584
+00:42:09,430 --> 00:42:14,410
+اول قانون زي مش بيه القانون شوف خليني انا اجرب لك
+
+585
+00:42:14,410 --> 00:42:18,590
+ان هو مش بالقانون او لاذاك القوة الأرضية لما انا
+
+586
+00:42:18,590 --> 00:42:23,230
+اقول القوة بين القمر والقوة الأرضية بالساوي
+
+587
+00:42:23,230 --> 00:42:27,590
+capital G mass for earth mass for moon على مربع
+
+588
+00:42:27,590 --> 00:42:31,080
+المسافة اللي بينهم من وين لوين بيجيسوا المسافات؟من
+
+589
+00:42:31,080 --> 00:42:33,740
+center ل center اذا المعنى ان الكورة لو كانت
+
+590
+00:42:33,740 --> 00:42:36,300
+homogeneous اعتبر ان الكورة homogeneous تعتبرها
+
+591
+00:42:36,300 --> 00:42:39,420
+وكانها جسيم صغير محتوى في ال center هجأت هذه
+
+592
+00:42:39,420 --> 00:42:42,100
+الكورة الكبيرة الحمرة وكانها point of charge محتوى
+
+593
+00:42:42,100 --> 00:42:45,260
+في ال center تطلع كيكيه على ارض احسن وكانها point
+
+594
+00:42:45,260 --> 00:42:49,350
+of charge اظن ان انا حاطط هذه الشغلاتnot that this
+
+595
+00:42:49,350 --> 00:42:53,510
+result is identical to that of a pointed charge
+
+596
+00:42:53,510 --> 00:42:57,550
+this means that the problem can be treated as the
+
+597
+00:42:57,550 --> 00:43:01,570
+entire charge وكأنه كل الشحنات is or was
+
+598
+00:43:01,570 --> 00:43:04,130
+concentrated at the center of the sphere تمام هذه
+
+599
+00:43:04,130 --> 00:43:08,570
+معروفة مش مشكلة بيشوف ال B المشكلة بيه؟ وإيش بده
+
+600
+00:43:08,570 --> 00:43:12,370
+في بيه؟ for inside region هاي برضه التكامل وهاي ..
+
+601
+00:43:12,370 --> 00:43:15,790
+طبعا التكامل ماتغيرش يا باب، هاي قانوني أنا بحط في
+
+602
+00:43:15,790 --> 00:43:20,200
+V inمن منا نهاية لنقطة اخرى بس النقطة هدوم يكون
+
+603
+00:43:20,200 --> 00:43:26,340
+جوا حلو يرسم هي النقطة شباب هي النقطة هي اللي انا
+
+604
+00:43:26,340 --> 00:43:30,840
+بدي المجال ان هو من منا نهاية للنقطة في عندي
+
+605
+00:43:30,840 --> 00:43:35,220
+شغلتين الان من منا نهاية لهنا في مجال و من هنا
+
+606
+00:43:35,220 --> 00:43:39,500
+لهنا في مجال مختلفصح ولا لأ؟ بصحيلي أحطهم مرة
+
+607
+00:43:39,500 --> 00:43:42,880
+واحدة بيقولي بصحيلي cash إيه يسوي؟ بيقولي but in
+
+608
+00:43:42,880 --> 00:43:47,740
+this case انتبهوا سؤال بتكرر مرات و بيدلوا حدين
+
+609
+00:43:47,740 --> 00:43:52,420
+بيه إذا فاهم التكامل مش فاهم كامل فاهمش مع التكامل
+
+610
+00:43:52,420 --> 00:43:55,700
+تمام؟ but in this case the range from infinity to
+
+611
+00:43:55,700 --> 00:44:00,520
+the point in question includes two regions with
+
+612
+00:44:00,520 --> 00:44:04,200
+different electric fields طلع جباب the outside
+
+613
+00:44:04,200 --> 00:44:08,570
+region هاي من هال لهانهذه المنطقة كلها outside ولا
+
+614
+00:44:08,570 --> 00:44:13,610
+مش outside وصل النقطة لسه موصلش مخلصتش يصير
+
+615
+00:44:13,610 --> 00:44:18,730
+تكاملين غصب عني the outside region which is
+
+616
+00:44:18,730 --> 00:44:22,830
+extended من وين حدودها من منا نهاية بتخلص على الحد
+
+617
+00:44:22,830 --> 00:44:30,470
+صح لcapital R طيب والتانية من هالهالوانا ماشي هيك
+
+618
+00:44:30,470 --> 00:44:34,050
+بدي اللي برا او اللي جوا؟ بدي اللي جوا وانا ماشي
+
+619
+00:44:34,050 --> 00:44:37,990
+من هنا لهنا اي مجال بدي اللي جوا صاروا انا بدي
+
+620
+00:44:37,990 --> 00:44:42,530
+اجمع مرة اللي برا ومرة اللي جوا and the inside
+
+621
+00:44:42,530 --> 00:44:45,110
+region which extended from capital R to small r
+
+622
+00:44:45,110 --> 00:44:48,530
+ايش معناته يا شباب؟ بيقولوا therefore we have to
+
+623
+00:44:48,530 --> 00:44:52,610
+divide the integration into two parts هدا هي روح
+
+624
+00:44:52,610 --> 00:44:58,230
+اتجسمت كيف يعني؟ خليني اقولكم التالي نفترض ان انا
+
+625
+00:44:58,230 --> 00:45:02,950
+بدي اجمعخلّيني أقول شغلات موجودة في هذه الغرفة
+
+626
+00:45:02,950 --> 00:45:10,990
+تمام هنا في شماء و هنا في خياط و هنا في تفاح يجيب
+
+627
+00:45:10,990 --> 00:45:13,930
+لي إيجمع بفعل من أول حيطة لآخر الحيطة و بيقول
+
+628
+00:45:13,930 --> 00:45:18,830
+بيسوي خمسميت و أجف بعد كده خمسميت إيش؟ بتعرف تقول
+
+629
+00:45:18,830 --> 00:45:23,050
+خمسميت إيش؟ بتعرفش ليش ماعرفتش؟ لأنه الأنواع
+
+630
+00:45:23,050 --> 00:45:26,690
+مختلفة صح؟ إيش تسوي؟ بيقول إيجمع من هالهال بس
+
+631
+00:45:26,690 --> 00:45:31,950
+بتجمع هدولاللي بفتخ لحاله و اجمع من هنا لهنا دي
+
+632
+00:45:31,950 --> 00:45:34,770
+معاك الخيار لحاله و اجمع من هنا لهنا دي معاك
+
+633
+00:45:34,770 --> 00:45:38,430
+التفاح لحاله ساعة بتقول عندي خمسين تفاحة و تلاتين
+
+634
+00:45:38,430 --> 00:45:43,150
+شمامة و تلاتين خيارة شمام تمام؟ اذا انا اكتسب
+
+635
+00:45:43,150 --> 00:45:47,810
+الطرقة جسم التكامل لما يكون المجموعة مش نفس الشكل
+
+636
+00:45:47,810 --> 00:45:50,910
+صح ولا لأ؟ لما تقدرش تجمع من اول غرفة لاخر و اول
+
+637
+00:45:50,910 --> 00:45:53,470
+غرفة تجمع تجمع تجمع تطلع عندك تلاتمية و بعدين
+
+638
+00:45:53,470 --> 00:45:56,970
+تعرفش تحط التمييز تلاتمية ايش؟ تعرفش هنا نفس
+
+639
+00:45:56,970 --> 00:46:03,180
+العملية انت بتجمعللنقطة هذه طب يالا اجمع دي ب E طب
+
+640
+00:46:03,180 --> 00:46:06,220
+من هنا لها في E و من هنا لها في E مختلف ايش تاخد E
+
+641
+00:46:06,220 --> 00:46:08,980
+تاخد E البرا ولا اللي جوا اذا خدت البرا اللي جوا
+
+642
+00:46:08,980 --> 00:46:13,400
+زعل وإذا خدت اللي جوا زعل اللي برا زعل كتير لأن
+
+643
+00:46:13,400 --> 00:46:17,500
+حصه كبير له صح ولا لأ اذا معناته عشان اتحل هذا
+
+644
+00:46:17,500 --> 00:46:22,720
+الإشكال واحد ياخد حصته اللي برا دي حصته منطقة اللي
+
+645
+00:46:22,720 --> 00:46:26,660
+برا من هنا إيها وين بتخلص البرا لكابة العار و اللي
+
+646
+00:46:26,660 --> 00:46:29,360
+جوا ياخد حصتهبتبدأ من كامة الأعلى، بتنتهى ده
+
+647
+00:46:29,360 --> 00:46:33,600
+النقطة ولا لأ؟ إذا لما يختلف الجنس، بدي أجسم
+
+648
+00:46:33,600 --> 00:46:35,960
+التكامل غصب العالم، لإن انا هجيت .. انا هو هتجيلك
+
+649
+00:46:35,960 --> 00:46:38,240
+بصورة إجمالية، انتوا أخدتوا في الكالكولاس، شوفوا
+
+650
+00:46:38,240 --> 00:46:42,460
+إيش معاناة الكالكولاس، لما أقولك من A لB، بالساوة
+
+651
+00:46:42,460 --> 00:46:48,780
+من A لC زائد من C لB، خدتواها هذي؟ مش هعطيوا الـC
+
+652
+00:46:48,780 --> 00:46:52,430
+لكل جوة ولا لأ؟ بينهموانا لما أجمع من الحياطة هذه
+
+653
+00:46:52,430 --> 00:46:55,690
+للحياطة هذه بينفع أجمع من هالهان و أتعب و أقول
+
+654
+00:46:55,690 --> 00:46:59,190
+بترتاح و بعدين أسانف من هالهان ولا لأ اه يعني لو
+
+655
+00:46:59,190 --> 00:47:02,910
+واحد يجمع .. بقولك اجمع خمسين شغلة بقولك اجمع أول
+
+656
+00:47:02,910 --> 00:47:04,870
+خمسة و عشرين و بعدين أجمع خمسة و عشرين و بعدين
+
+657
+00:47:04,870 --> 00:47:07,870
+أجمعهم مع بعض لذا لما بدي أجسم اذا جمع ما هو
+
+658
+00:47:07,870 --> 00:47:10,990
+تهاروض ياخدوا كيف يجسموا الجامع بينفع لو واحد يجسم
+
+659
+00:47:10,990 --> 00:47:14,750
+و التكامل بتجسم هو نفسه ما هو الجامع بدي مديم
+
+660
+00:47:14,750 --> 00:47:19,790
+المنطقة من أول لآخرهابتلفع في كل الأحوال لكن
+
+661
+00:47:19,790 --> 00:47:23,990
+ضرورية إذا كان المجموع مختلف لو المجموع مش مختلف،
+
+662
+00:47:23,990 --> 00:47:27,290
+لن تتعامل في النتيجة، لكن إذا المجموع مختلف، لازم
+
+663
+00:47:27,290 --> 00:47:30,670
+تتجسم، بيقول هذا بتتكامل و بتتعامل معاه لحال، و
+
+664
+00:47:30,670 --> 00:47:34,390
+هذا بتتكامل معاه لحال، و بيشتغل على هذا الأساس،
+
+665
+00:47:34,390 --> 00:47:37,030
+الأساس أنا الآن، طب هذا بتعرفه، الله الله، طوي
+
+666
+00:47:37,030 --> 00:47:40,630
+عرفته، مش طوية أو جبناء، طب هذا بتعرفه، بيقول
+
+667
+00:47:40,630 --> 00:47:44,510
+بشحته، في المثال حلته، لو هذا conductor جديشها، دي
+
+668
+00:47:44,510 --> 00:47:50,480
+بتكون؟بتكون Zero شباب، لو كانكن بكتر هادي Zero،
+
+669
+00:47:50,480 --> 00:47:54,790
+بروح فجوري بيستبقى، بتطلع بيبقى السخابةشوفوا ايش
+
+670
+00:47:54,790 --> 00:47:58,830
+بتفرض لو كان conductor شباب انه انا بديت التكامل
+
+671
+00:47:58,830 --> 00:48:04,690
+من مال نهاية لنفط R ايه ذات deal اشتغلت اشتغلت
+
+672
+00:48:04,690 --> 00:48:07,690
+ساعة لما ينهي وركبت ال R وها دي لو واحد شوفوا من
+
+673
+00:48:07,690 --> 00:48:10,010
+انها ركبت ال R بطلت من اسمه ال R مع ان هو اصل
+
+674
+00:48:10,010 --> 00:48:13,150
+قانون اسمه ال R ليش؟ لأنه بيقول إن النتيجة التانية
+
+675
+00:48:13,150 --> 00:48:16,030
+Zero هذي اذا كان conductor شباب لكن انا السؤال مش
+
+676
+00:48:16,030 --> 00:48:19,030
+conductor مش conductor من هذا حصلته في مثال سابق
+
+677
+00:48:19,030 --> 00:48:21,750
+عشان كده هو جابي المثال هذا بقول يجلب صفحتين
+
+678
+00:48:21,750 --> 00:48:26,910
+فتلاقي الإجابات هذه موجودة تمامبيقول لي the
+
+679
+00:48:26,910 --> 00:48:30,110
+electric field outside and inside the sphere given
+
+680
+00:48:30,110 --> 00:48:34,910
+by هاي E out طلعتها وهاي E in برضه شحتها من المثال
+
+681
+00:48:34,910 --> 00:48:38,670
+السابق طلعتها انا وياكم طلعناها احنا وياكم وقال لي
+
+682
+00:48:38,670 --> 00:48:42,330
+خلاص اشتغل هاجي اتعود طلعت هيك
+
+683
+00:48:44,770 --> 00:48:48,670
+الـDL لدُبط الاردنك في كل حالة تتحول لDR مظبوط ولا
+
+684
+00:48:48,670 --> 00:48:52,010
+لأ فبالتالة بتطلع عندك fake النتيجة وطبعا كامل
+
+685
+00:48:52,010 --> 00:48:57,450
+عادي كملته وطلعته بهذا الشكل برضه جواب هذا مش أكتر
+
+686
+00:48:57,450 --> 00:49:02,230
+VN بتسوي هيك وبتتهيأ المثال Note that the two
+
+687
+00:49:02,230 --> 00:49:06,790
+expressions are بيقوللي الجهود
+
+688
+00:49:09,360 --> 00:49:15,100
+برة طلعته فيه بيساوي KQ على R اللي قلتلي بيشبه
+
+689
+00:49:15,100 --> 00:49:20,860
+القانون و ده هو و جوا هيه شباب صح ولا لأ و هاي
+
+690
+00:49:20,860 --> 00:49:26,860
+الاسفير هاي جوا و هاي برا طيب هذه النقطة بنفع تكون
+
+691
+00:49:26,860 --> 00:49:31,820
+هنا؟ بنفع جوا انا مش جوا طيب وهذه بنفع تكون هنا؟
+
+692
+00:49:31,820 --> 00:49:37,040
+بنفع برضه برا طيب صاروا جران صاروا جران قدش بعد
+
+693
+00:49:37,040 --> 00:49:42,950
+هذه؟نص الخطر طب ما قلتيش بعض هذه نص الخطر طب تساوم
+
+694
+00:49:42,950 --> 00:49:46,190
+منطقي ان يكونوا بيساوموا بعض و لا بيساوموش بعض لان
+
+695
+00:49:46,190 --> 00:49:51,130
+هم جيران هو نقطة واحدة قاللي احسب قاللي هادي لو
+
+696
+00:49:51,130 --> 00:49:53,770
+كانت small r بيساومي كبت الارض سيه النقطة اللى جوا
+
+697
+00:49:53,770 --> 00:50:00,930
+صارت على السطح ولا لا؟ خُطها هذه صارت واحد تلاتة
+
+698
+00:50:00,930 --> 00:50:07,010
+نقص واحد اتنين اتنين صارت اربعة نجي القانون هو
+
+699
+00:50:07,010 --> 00:50:11,160
+نفسه اللى براهو نفسه اللي برا، إذا صح، يعني اللي
+
+700
+00:50:11,160 --> 00:50:15,880
+جوا بتنقل إلى اللي برا لما تصير قريب على السطح،
+
+701
+00:50:15,880 --> 00:50:19,560
+لما تنتين تصيروا جيران، فبقول you note that the
+
+702
+00:50:19,560 --> 00:50:22,580
+two expressions D1 and D2 give the same results at
+
+703
+00:50:22,580 --> 00:50:26,580
+A بساوية كبيرة ال R at the surface which is هذا
+
+704
+00:50:26,580 --> 00:50:29,840
+الجوابهذه على السطح يعني محقق انه واحد يقول يا
+
+705
+00:50:29,840 --> 00:50:35,720
+عزيزي جهد على سطح اي كرة بقول KQ على capital R و
+
+706
+00:50:35,720 --> 00:50:38,080
+النقطة بتكون على السطح طب هو شغلها منطقي لان
+
+707
+00:50:38,080 --> 00:50:40,900
+النقطتين صاروا نقطة واحدة صاروا جيران كتير و
+
+708
+00:50:40,900 --> 00:50:43,780
+بالتالي جهد هادي ولا جهد هادي واحد و طلع الجواب
+
+709
+00:50:43,780 --> 00:50:49,460
+اكيد صح في اي استفسار شبابي الآن؟هذا انا عندي
+
+710
+00:50:49,460 --> 00:50:54,800
+طريقتين احسب الجهد عند نقطة اما العناصر اجسم عنصر
+
+711
+00:50:54,800 --> 00:50:58,900
+اجيب جهد العنصر اكامل او اجيب المجال واستخدم
+
+712
+00:50:58,900 --> 00:51:02,340
+القانون الاصلي ان الجهد بيساوي التكامل from
+
+713
+00:51:02,340 --> 00:51:06,720
+infinity to the point E dot DL وهذا متاتش إلى اذا
+
+714
+00:51:06,720 --> 00:51:11,340
+كان E سهل اجيبها او اعطانيها E وإلا بعد كده بيصير
+
+715
+00:51:11,340 --> 00:51:15,000
+مشكلة ان اجيب E و بعدين اكاملها بيصير عندي معضلة
+
+716
+00:51:15,000 --> 00:51:17,300
+كبيرة تمام
+
+717
+00:51:20,050 --> 00:51:24,610
+الان مر عليكم ال conductor الشباب مش أقوله خواص ال
+
+718
+00:51:24,610 --> 00:51:29,410
+conductor ذاكين خواص ال conductor الشباب مين
+
+719
+00:51:29,410 --> 00:51:36,370
+يذاكرني ايامهم هم تلاتة تلات خواص أول حاجة الشحن
+
+720
+00:51:36,370 --> 00:51:39,870
+أين بتكون أساطر خارجي اللي بتنتج عنها جيبليش
+
+721
+00:51:39,870 --> 00:51:44,670
+المجال جوا Zero التأثر مجال just outside كيف بتكون
+
+722
+00:51:44,670 --> 00:51:49,960
+اتجاههعمودي وقدش قيمته سيجما على ايبسون نوت هدول
+
+723
+00:51:49,960 --> 00:51:53,560
+التلات خواص هدول تلات خواص اشتقنوهم مع بعض for any
+
+724
+00:51:53,560 --> 00:51:58,620
+conductor طيب بكمل الآن بقول ليه ايش كيف اخبر
+
+725
+00:51:58,620 --> 00:52:02,340
+الجهود على ال conductors بقول in the previous
+
+726
+00:52:02,340 --> 00:52:05,580
+chapter الشهرة للماضي we have mentioned some
+
+727
+00:52:05,580 --> 00:52:08,180
+properties of a conductor in electrostatic
+
+728
+00:52:08,180 --> 00:52:11,600
+equilibrium with the help of Gauss's law some of
+
+729
+00:52:11,600 --> 00:52:12,640
+these properties are
+
+730
+00:52:15,590 --> 00:52:17,570
+The electric field inside the conductor is zero.
+
+731
+00:52:19,290 --> 00:52:22,510
+The electric field on the surface of the conductor
+
+732
+00:52:22,510 --> 00:52:26,110
+is perpendicular to the surface. صح؟ طبعا الأولى
+
+733
+00:52:26,110 --> 00:52:28,630
+ما هي شحنات على السطح موجودة جابت التانية. بقولي
+
+734
+00:52:28,630 --> 00:52:32,310
+now. عند القانون هذا ماعرفه ولا مش عارفه.
+
+735
+00:52:38,600 --> 00:52:43,680
+طيب بقول الان انت عندك خاصيتين و نيجي نشتغل بقول
+
+736
+00:52:43,680 --> 00:52:46,660
+if the initial and the final points lie inside a
+
+737
+00:52:46,660 --> 00:52:52,760
+conductor التاني جوا هاي conductor شبه هذا و أنا
+
+738
+00:52:52,760 --> 00:52:56,220
+عندي هاي ال final و هاي ال initial هاي initial و
+
+739
+00:52:56,220 --> 00:53:00,820
+هاي final هاي اللي بدي أطبقها القانون بدي أجمع من
+
+740
+00:53:00,820 --> 00:53:08,220
+initial ل final اي electric field بدي من ولا وينمن
+
+741
+00:53:08,220 --> 00:53:14,440
+هال لهال صح؟ من هال لهال فيه مجال؟ مافيش مجال زيرو
+
+742
+00:53:15,700 --> 00:53:19,840
+مازالها zero يعني هادي بيساوي هادي هاي معناه zero
+
+743
+00:53:19,840 --> 00:53:23,900
+صحيح ولا لأ؟ بيقوللي if the initial and the final
+
+744
+00:53:23,900 --> 00:53:28,040
+points lie inside a conductor and using the first
+
+745
+00:53:28,040 --> 00:53:31,780
+property اللي بتقول there is no electric field
+
+746
+00:53:31,780 --> 00:53:35,280
+inside a conductor we conclude that the electric
+
+747
+00:53:35,280 --> 00:53:38,160
+potential is constant ليش constant؟ يعني هادي
+
+748
+00:53:38,160 --> 00:53:41,650
+بيبقى بس هادي بيستوى زفر يعني هادي بيستوى هاديو
+
+749
+00:53:41,650 --> 00:53:45,470
+هتقول اي نقطين جوا السطح جوا ال conductor اي نقطين
+
+750
+00:53:45,470 --> 00:53:48,590
+جوا ال conductor خدهم هتلاقي جهدهم واحد يعني في
+
+751
+00:53:48,590 --> 00:53:52,570
+عندك خاصية جديدة ان الجهد داخلي ال conductor
+
+752
+00:53:52,570 --> 00:53:57,010
+بتساوي KQ بتساوي constant بعدين شوف قائمة قيمتها
+
+753
+00:53:57,010 --> 00:54:02,350
+بتساوي constant inside a conductor هاي كمان خاصية
+
+754
+00:54:02,350 --> 00:54:08,900
+رابعالخاصية الرابعة الهواتف تدفع على السطح الهواتف
+
+755
+00:54:08,900 --> 00:54:12,180
+الداخلية تدفع إلى 0 الهواتف الداخلية تدفع إلى 0
+
+756
+00:54:12,180 --> 00:54:13,020
+الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية تدفع
+
+757
+00:54:13,020 --> 00:54:14,260
+إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية
+
+758
+00:54:14,260 --> 00:54:14,680
+تدفع إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف
+
+759
+00:54:14,680 --> 00:54:14,940
+الداخلية تدفع إلى 0 الهواتف الداخلية تدفع إلى 0
+
+760
+00:54:14,940 --> 00:54:17,760
+الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية تدفع
+
+761
+00:54:17,760 --> 00:54:19,920
+إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية
+
+762
+00:54:19,920 --> 00:54:25,730
+تدفع إلى 0 الهواتف الداخليةزاكرين المره ديك لما ال
+
+763
+00:54:25,730 --> 00:54:28,970
+ring و ان المجال جوا كان zero لكن الجهد ماكنش zero
+
+764
+00:54:28,970 --> 00:54:32,670
+كان constant صح و لا لأ فمعناته المجال zero لكن
+
+765
+00:54:32,670 --> 00:54:37,910
+الجهد مش zero بطلع ثابت تمام؟ في برمور في شغل
+
+766
+00:54:37,910 --> 00:54:43,480
+تانية بقولي أنا بدي خليواحد منهم since E is always
+
+767
+00:54:43,480 --> 00:54:49,260
+normal to DL on
+
+768
+00:54:49,260 --> 00:54:52,040
+the surface directly potential is also constants
+
+769
+00:54:52,040 --> 00:54:54,640
+on the surface of the conductor بيقوللي ال initial
+
+770
+00:54:54,640 --> 00:54:59,760
+و ال final مابديش يوم هنا خلي ال initial هنا و ال
+
+771
+00:54:59,760 --> 00:55:04,080
+final هنا وين النقطين صاروا الآن؟ على السطح ايش
+
+772
+00:55:04,080 --> 00:55:07,950
+بدك المجال انت؟لين و أنت ماشي على السطح و أنا مش
+
+773
+00:55:07,950 --> 00:55:11,350
+عالسطح انت بدك المجال و أنت ماشي هنا في الطريق هذه
+
+774
+00:55:11,350 --> 00:55:14,890
+على السطح بدك المجال على السطح طيب مش القانون فيه
+
+775
+00:55:14,890 --> 00:55:18,670
+dot product؟ فيه dot product طب و إيه .. إيش
+
+776
+00:55:18,670 --> 00:55:24,550
+علاقتها مع المناس مش عمودية عمودية و cosine
+
+777
+00:55:24,550 --> 00:55:30,510
+والتسعين Zero برض كل أمة هي Zero إذا برض الجهد على
+
+778
+00:55:30,510 --> 00:55:35,670
+السطح بساوي Zeroبرضه الجهد عالسطح بيسوي 0 fear of
+
+779
+00:55:35,670 --> 00:55:39,770
+more since E is always normal يعني perpendicular
+
+780
+00:55:39,770 --> 00:55:43,590
+to DL on the surface the electric potential is
+
+781
+00:55:43,590 --> 00:55:46,510
+also constant on the surface of the conductor إذا
+
+782
+00:55:46,510 --> 00:55:50,510
+صار في عيني شغلة الجهد جوه ال conductor بيسوي ثابت
+
+783
+00:55:50,510 --> 00:55:54,030
+و الجهد عالسطح بيسوي ثابت الجهد جوه ال conductor
+
+784
+00:55:54,030 --> 00:55:58,970
+مش Zero فرق الجهد Zero يعني فرق من نقطين سفر يعني
+
+785
+00:55:58,970 --> 00:56:01,950
+كده بيسوي بعض ولا لأ بيسوي بعض احكي
+
+786
+00:56:05,040 --> 00:56:10,460
+هو نفسه، هو نفسه، بدوني أحس بعد ولا وياك another
+
+787
+00:56:10,460 --> 00:56:13,660
+important property of the conductor thus follows
+
+788
+00:56:13,660 --> 00:56:18,580
+the electric potential inside any conductor is in
+
+789
+00:56:18,580 --> 00:56:22,400
+equilibrium is constant and equal to the electric
+
+790
+00:56:22,400 --> 00:56:27,570
+potential on its surfaceبساوي على السطح الجهد جوه
+
+791
+00:56:27,570 --> 00:56:30,450
+ال conductor بساوي ثابت و يساوي الجهد على السطح
+
+792
+00:56:30,450 --> 00:56:33,730
+طبعا ليش؟ طب انت جبتلي التنتين على السطح و جبتلي
+
+793
+00:56:33,730 --> 00:56:39,110
+التنتين جوه قالك لأ خلي واحدة منهم هنا و واحدة
+
+794
+00:56:39,110 --> 00:56:44,070
+منهم هنا هاي ال final طلع عليا حيث ان انت ماشي من
+
+795
+00:56:44,070 --> 00:56:48,970
+initial ل final اي مجال بدك ايش قيمته؟ اذا معناته
+
+796
+00:56:48,970 --> 00:56:52,940
+الجهد هنا بساوي الجهد هنافهمتوا يا شباب؟ يعني كيف
+
+797
+00:56:52,940 --> 00:56:56,840
+بدي أثبت ان انا .. انت جوا ثابت فهمنا وعالسطح ثابت
+
+798
+00:56:56,840 --> 00:57:00,580
+فهمنا طب كيف اللي جوا بيصور عالسطح؟ بقوله اشتغل
+
+799
+00:57:00,580 --> 00:57:03,420
+نفس الشغل خل ال initial point inside و ال final
+
+800
+00:57:03,420 --> 00:57:11,300
+point on the surface ويلا اشتري هاي نشتغل و
+
+801
+00:57:11,300 --> 00:57:15,560
+نطلع
+
+802
+00:57:15,560 --> 00:57:17,820
+نجيب السامل اللي كان يلعب توي و اللي بيلعب لها لها
+
+803
+00:57:17,820 --> 00:57:25,060
+مشاكل بايح جايالمجال اللي هي قداش هذا
+
+804
+00:57:25,060 --> 00:57:28,480
+الجهد بيسوي جهد هذا يعني هذا الجهد جوا بيسوي جهد
+
+805
+00:57:28,480 --> 00:57:33,180
+هذا على السطح إذا الجهد جوا constant and equal to
+
+806
+00:57:33,180 --> 00:57:37,720
+the potential on the surface قاعدة مفهومة ومعروفة
+
+807
+00:57:37,720 --> 00:57:43,270
+بقول بدي أثبتها كده مرةبدي اكتبتها كمان مرة و
+
+808
+00:57:43,270 --> 00:57:47,270
+explicitly و بقوانين نقول to prove this property
+
+809
+00:57:47,270 --> 00:57:51,190
+explicitly يعني بالتفصيل let us consider a
+
+810
+00:57:51,190 --> 00:57:53,650
+conducting sphere of radius capital R and its
+
+811
+00:57:53,650 --> 00:57:58,210
+charge capital Q the electric potential at a point
+
+812
+00:57:58,210 --> 00:58:01,150
+inside the sphere at a point inside the sphere زي
+
+813
+00:58:01,150 --> 00:58:05,130
+ما طبعا قلتلكم عنها من ما نهيئة small r a dot of
+
+814
+00:58:05,130 --> 00:58:10,700
+dlبره غير عن جوه بره من مال نهاية لحدود المنطقة
+
+815
+00:58:10,700 --> 00:58:13,440
+اللي برا وجوه من بداية حدود المنطقة اللي جوه
+
+816
+00:58:13,440 --> 00:58:17,760
+للنقطة اللي بدي إياها تمام قدش EN شباب؟ Zero
+
+817
+00:58:20,480 --> 00:58:24,900
+E in بتسييز Zero and E out هدهيه اذا المعناه تجري
+
+818
+00:58:24,900 --> 00:58:30,120
+عوّد عوّد بقول يالا عوّد E out نعرفها هدهيه صار
+
+819
+00:58:30,120 --> 00:58:36,620
+capital Q على أربع باي ي نوع ثوابت تكامل DL.R unit
+
+820
+00:58:36,620 --> 00:58:41,000
+vector على R تربيع من المنام الهيئة لcapital R هذه
+
+821
+00:58:41,000 --> 00:58:47,020
+عبارة عن DRبظبط بيساوي سالب في عندي سالب بيصير
+
+822
+00:58:47,020 --> 00:58:53,000
+موجب Q على اربعة by اي نوت واحد على R من مانها
+
+823
+00:58:53,000 --> 00:59:00,480
+لcapital R طلعت هذه الجهود على السطح ما هي هي
+
+824
+00:59:00,480 --> 00:59:04,850
+الجهود على السطح هي نفس الجهود على السطحwhich is
+
+825
+00:59:04,850 --> 00:59:08,490
+the same the value of the potential at the surface
+
+826
+00:59:08,490 --> 00:59:13,470
+of the conductor اذا مافيش عندي اي اشكالية بان هذه
+
+827
+00:59:13,470 --> 00:59:23,970
+الخاصية اكيد صحيحة اكيد صحيحة طبعا لو
+
+828
+00:59:23,970 --> 00:59:27,350
+جيت بدي اعصم ل conductor شباب بيقول الجهد الأزرق
+
+829
+00:59:27,350 --> 00:59:31,850
+شايفينه الخط الأزرق بيمثل الجهد طول ما انت جوا ال
+
+830
+00:59:31,850 --> 00:59:37,420
+conductor جهدك ثابتبعد كده بيصير واحد على R واحد
+
+831
+00:59:37,420 --> 00:59:40,440
+على R بيصير هيك وعندمان النهاية ال H بيصير Zero
+
+832
+00:59:40,440 --> 00:59:44,160
+تمام بيقول if a figure shows the variation of V
+
+833
+00:59:44,160 --> 00:59:47,960
+تغير ال V as a function of the radial distance R
+
+834
+00:59:47,960 --> 00:59:52,180
+for a conducting sphere of radius capital R بتطلع
+
+835
+00:59:52,180 --> 01:00:01,120
+لك إياها طب الآن في شغلات مهمة الان conductor واحد
+
+836
+01:00:02,810 --> 01:00:07,030
+نقاط مختلفة على الصفحة كده الشي جاهد بيكون لازم
+
+837
+01:00:07,030 --> 01:00:10,910
+يكون ثاني حلو طب انا جيت عندي two conductors two
+
+838
+01:00:10,910 --> 01:00:14,830
+conductors روحت وصلتهم مع بعض اكم conductor صاروا
+
+839
+01:00:14,830 --> 01:00:19,380
+صاروا conductor واحدما زالت وصلوا وصلوا واحد خلاص
+
+840
+01:00:19,380 --> 01:00:23,620
+اشتبكوا ما زال اشتبكوا لازم ال voltage على الجهود
+
+841
+01:00:23,620 --> 01:00:26,880
+على هذا و على هذا لازم نسوي بعض ولا لا قطع القاعدة
+
+842
+01:00:26,880 --> 01:00:29,360
+طب في الأول ماكنوش ايش بده يصير عشان يصيروا بعض
+
+843
+01:00:29,360 --> 01:00:32,140
+تقولك الشحنات تنتقل من واحد الأعلى جهود إلى الأقل
+
+844
+01:00:32,140 --> 01:00:36,710
+جهود حتى تتساوي الجهوداللي ليش بتنتقل؟ عشان يتحقق
+
+845
+01:00:36,710 --> 01:00:40,210
+القاعدة الأولى انه لازم الجهود اتنين تساوي لإن
+
+846
+01:00:40,210 --> 01:00:44,030
+مفصل الconductor واحد إذا قطعا هذا لازم يكون صحيحة
+
+847
+01:00:44,030 --> 01:00:48,510
+if two or more conducting objects are connected by
+
+848
+01:00:48,510 --> 01:00:52,490
+a conducting wire the conductors are no longer
+
+849
+01:00:52,490 --> 01:00:57,270
+separate بيقفلوا مفصلين but can be considered as a
+
+850
+01:00:57,270 --> 01:00:59,970
+single conductor فهو single conductor ذكرين في
+
+851
+01:00:59,970 --> 01:01:03,270
+التفصيل على التوازي؟تقصد على التوازي جديش الجهد
+
+852
+01:01:03,270 --> 01:01:06,990
+بتسوى و لا بتسوأش ليش؟ لأنه في التوازي بوصل
+
+853
+01:01:06,990 --> 01:01:10,290
+conductor مع conductor شباب في التوازي إذا كنتوا
+
+854
+01:01:10,290 --> 01:01:15,490
+ذاكرين أجيبكم أنا خلّيني أقول capacitor اللي هي
+
+855
+01:01:15,490 --> 01:01:20,210
+المكاتب الفاتر خرط عليكم الكباسيه ده؟ الcapacitor
+
+856
+01:01:20,210 --> 01:01:23,990
+من إيش بيتكوّن؟
+
+857
+01:01:23,990 --> 01:01:28,030
+بيتكوّن من؟ شو الصفحي اللي لازم يكونوا؟ لازم
+
+858
+01:01:28,030 --> 01:01:31,750
+يكونوا conductorsبنفعش يكونوا Consulators يعني هذا
+
+859
+01:01:31,750 --> 01:01:34,430
+كوندكتر و هذا كوندكتر و هذا كوندكتر و هذا كوندكتر
+
+860
+01:01:34,430 --> 01:01:38,150
+طب وصلهم على التوازي x1 ولا لأ هدول two conductors
+
+861
+01:01:38,150 --> 01:01:41,050
+توصلوا بالسلك إذا صاروا يهدهم واحد و هدول two
+
+862
+01:01:41,050 --> 01:01:44,230
+conductors توصلوا بالسلك صاروا يهدهم واحد عشان كده
+
+863
+01:01:44,230 --> 01:01:48,950
+بقول في التوازي v1 و v2 منهم بيساوي بعض بيساوي بعض
+
+864
+01:01:48,950 --> 01:01:52,650
+تبعين من هذه القاعدة إتانى شباب إذا any two
+
+865
+01:01:52,650 --> 01:01:57,530
+conductors أول ما يقولك توصله على طول بطلع من المخ
+
+866
+01:01:57,530 --> 01:02:02,670
+v1 بيساوي v2تساوية جهوده لأنهم صاروا conductor
+
+867
+01:02:02,670 --> 01:02:09,470
+واحد this means that the electrical charge will
+
+868
+01:02:09,470 --> 01:02:12,670
+transfer from the conductor of higher potential to
+
+869
+01:02:12,670 --> 01:02:15,290
+that of lower potential until the equilibrium
+
+870
+01:02:15,290 --> 01:02:19,210
+condition is achievedواحد عنده شحنات كبيرة وواحد
+
+871
+01:02:19,210 --> 01:02:21,990
+عنده شحنات صغيرة وواحد جهود كبير وواحد جهود صغير
+
+872
+01:02:21,990 --> 01:02:25,670
+ووصلتهم مع بعض كبري متساوى تنتقل الشحنات من الأعلى
+
+873
+01:02:25,670 --> 01:02:30,650
+جهود إلى الأقل جهود حتى تتساوي الجهود حتى تتساوي
+
+874
+01:02:30,650 --> 01:02:36,250
+الجهود مافيش مجال لازم يتساوي الجهود تبعوا شباب
+
+875
+01:02:36,250 --> 01:02:42,590
+طبعا في مثال على هالقضية مش حاجة حلوةبس خلّيني أحط
+
+876
+01:02:42,590 --> 01:02:47,410
+المراحزة therefore if two or more conductors are
+
+877
+01:02:47,410 --> 01:02:51,350
+connected and equilibrium is achieved يعني انقلق
+
+878
+01:02:51,350 --> 01:02:54,050
+انا وصلتهم وفوز فيه equilibrium خلاص وكفت حركة
+
+879
+01:02:54,050 --> 01:02:57,470
+الشحنات they must be at the same electric
+
+880
+01:02:57,470 --> 01:03:00,830
+potential زي ما تقول حكيته على طول توصلواإن هو نفس
+
+881
+01:03:00,830 --> 01:03:05,890
+الجهود هذه القاعدة اللي خدها شباب لإنها تتواصل على
+
+882
+01:03:05,890 --> 01:03:09,030
+التوازي التواصل على التوازي كل هذه الأمور كلها
+
+883
+01:03:09,030 --> 01:03:12,210
+منطبقة على هذا المبدأ لأنه انا بتعامل بعد كده مع
+
+884
+01:03:12,210 --> 01:03:16,550
+conductors كل الأسلاك مش conductors كل الأسلاك
+
+885
+01:03:16,550 --> 01:03:20,310
+conductors وبالتالي غالبا هيتعامل مع conductors
+
+886
+01:03:20,310 --> 01:03:22,970
+اللي توصلوا مع بعض من نفس النقطة إذا نقلها نفس
+
+887
+01:03:22,970 --> 01:03:24,990
+الجهود طبعا
+
+888
+01:03:27,150 --> 01:03:30,770
+بقول in analog with the electric field lines the
+
+889
+01:03:30,770 --> 01:03:33,590
+electric potential can be represented by equal
+
+890
+01:03:33,590 --> 01:03:36,730
+potential surfaces بقول ال electric field lines ان
+
+891
+01:03:36,730 --> 01:03:42,090
+تمثلتيليهم خطوط وهمية و انهم قواعد انه ايه من ال
+
+892
+01:03:42,090 --> 01:03:45,860
+positive لل negativeالنسبة لـ E هي الاتريكشن تبعها
+
+893
+01:03:45,860 --> 01:03:47,720
+مع الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+894
+01:03:47,720 --> 01:03:47,880
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+895
+01:03:47,880 --> 01:03:49,980
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+896
+01:03:49,980 --> 01:03:50,220
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+897
+01:03:50,220 --> 01:03:51,800
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+898
+01:03:51,800 --> 01:03:53,460
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+899
+01:03:53,460 --> 01:03:58,940
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+900
+01:03:58,940 --> 01:04:07,230
+الاتريكشن تبع الاتريزي ما انت رسمتلي المجال ارسملي
+
+901
+01:04:07,230 --> 01:04:11,050
+الجهود بشغلات اعرف ان هنا فيه جهود قال الجهود ده
+
+902
+01:04:11,050 --> 01:04:15,690
+بمثله ب surfaces مش ب lines و ال surfaces هدول
+
+903
+01:04:15,690 --> 01:04:19,570
+بيسموهم equipotential surfaces لو نيجي نستخدم كلمة
+
+904
+01:04:19,570 --> 01:04:25,290
+equipotential ايكوي من وين جاية من equal potential
+
+905
+01:04:25,290 --> 01:04:29,450
+اذا ال equipotential surface هو السطح اللي بيكون
+
+906
+01:04:29,450 --> 01:04:34,990
+الجهود عليه ثابت متساوي هي معناه equipotentialما
+
+907
+01:04:34,990 --> 01:04:41,610
+هو بتساوي ال potential؟ بيقوللي a surface with all
+
+908
+01:04:41,610 --> 01:04:45,190
+its points are at the same electric potential is
+
+909
+01:04:45,190 --> 01:04:49,690
+called ecopotential surfaceيعني لأن هذا الموح ..
+
+910
+01:04:49,690 --> 01:04:53,130
+وينما كانت أصبح الجهد واحد .. بتسميه Equipotential
+
+911
+01:04:53,130 --> 01:04:56,410
+Surface ولا لأ؟ هذا هي .. Equipotential Surface
+
+912
+01:04:56,410 --> 01:05:00,710
+يعني أستطيع أن وينما كان جهده متساوي .. هذا بيسموه
+
+913
+01:05:00,710 --> 01:05:04,430
+Equipotential .. بس Surface .. Equipotential
+
+914
+01:05:04,430 --> 01:05:07,670
+Surface طبعا from this definition .. from this
+
+915
+01:05:07,670 --> 01:05:11,430
+definition .. it follows that no work is done ..
+
+916
+01:05:11,430 --> 01:05:15,550
+في علاقة بين الجهد والwork شباب ولا لأ؟هل جت الشغل
+
+917
+01:05:15,550 --> 01:05:20,670
+اللي لازم عشان أنقل شحنة بين نقطين مش بيساوي
+
+918
+01:05:20,670 --> 01:05:23,750
+الشحنة المنقولة في فرق الجهد بين نقطين؟ طيب، في
+
+919
+01:05:23,750 --> 01:05:28,550
+عندهم نقطين على السطح، النقطين اللي هم نفس الجهد،
+
+920
+01:05:28,550 --> 01:05:31,170
+جديش فرق الجهد بينهم؟ جديش شغل ال building عشان
+
+921
+01:05:31,170 --> 01:05:32,530
+ننقل منها لها؟ Zero
+
+922
+01:05:38,310 --> 01:05:43,090
+مافيش شغل لان مافيش فرق جهود تمام؟ زي اذا كان اول
+
+923
+01:05:43,090 --> 01:05:47,930
+واحدة نجنها ماكنش فيه شغل لان ماكنش فيه جهود تمام
+
+924
+01:05:47,930 --> 01:05:51,470
+from this definition it proves that no work is
+
+925
+01:05:51,470 --> 01:05:54,310
+done by the electric field in moving a charged
+
+926
+01:05:54,310 --> 01:05:57,210
+particle between two points in the same
+
+927
+01:05:57,210 --> 01:06:00,490
+equipotential surfaceمرات بيجيكي أمثلة كالتالي
+
+928
+01:06:00,490 --> 01:06:03,930
+شباب بيصيبلي ال conductor زي هيك بيقولك احسبلي
+
+929
+01:06:03,930 --> 01:06:08,810
+الشغل عشان اوقل شحنة من النقطة هذه للنقطة هذه Zero
+
+930
+01:06:08,810 --> 01:06:16,090
+Zero لإنه فرق الجهود ثابت طب من النقطة هذه للنقطة
+
+931
+01:06:16,090 --> 01:06:21,730
+هذه ببدأ أقول هذا ايه ال potential service ولا لا
+
+932
+01:06:21,730 --> 01:06:25,550
+ايه ال potential service لإن الجهد عليه كل واحد
+
+933
+01:06:25,550 --> 01:06:30,760
+تمامThis means that the electric field lies must
+
+934
+01:06:30,760 --> 01:06:32,660
+be perpendicular to that potential surface
+
+935
+01:06:45,950 --> 01:06:50,430
+الان عشان الشجر يطلع صفر هذه DL لازم تكون متعامد
+
+936
+01:06:50,430 --> 01:06:55,630
+على E و DL انت بتنجل من نقطة لنقطة على السطح اذا
+
+937
+01:06:55,630 --> 01:06:59,870
+لازم E و السطح يكون متعامدين اذا كيف بدأ ارسم
+
+938
+01:06:59,870 --> 01:07:02,170
+السطوح بقول انت ارسم خطوط المجال وبعدين اعمل
+
+939
+01:07:02,170 --> 01:07:08,310
+متعامد يعني لو كان خط مجال زيك هذا
+
+940
+01:07:08,310 --> 01:07:12,110
+المجال مش هذا uniform ارسم eco potential surface
+
+941
+01:07:12,110 --> 01:07:14,900
+بقول حط ورقة هيكهذه الـ computational surfaces وحط
+
+942
+01:07:14,900 --> 01:07:17,280
+ورقة جابانها وحط ورقة جابانها هذي هي ال
+
+943
+01:07:17,280 --> 01:07:19,580
+computational surfaces هجيتي ومش عصاب خطوط شباب
+
+944
+01:07:19,580 --> 01:07:23,300
+هذي هو الأسطح هذي الحرف أسطح هي ال computational
+
+945
+01:07:23,300 --> 01:07:28,420
+surfaces طبعا هجيتي ومشي من هان لهان no work
+
+946
+01:07:28,420 --> 01:07:34,300
+ساعتها دي ال كي بتكون هاي دي ال وإيه is a no work
+
+947
+01:07:34,300 --> 01:07:40,220
+صح؟ لكن لو دي بتمشي من هان لهان فيه work مظبوط؟ طب
+
+948
+01:07:40,220 --> 01:07:44,200
+امشي من هان لهان no workإذا المعنى هو انت ماشي
+
+949
+01:07:44,200 --> 01:07:47,660
+هيك، you work وهذا المنطق إذا هذا هو الـEco
+
+950
+01:07:47,660 --> 01:07:50,440
+Potential Surface فالـEco Potential Surface بتكون
+
+951
+01:07:50,440 --> 01:07:53,940
+عموجة على الـElectric Field Lines لازم، عشان مافيش
+
+952
+01:07:53,940 --> 01:07:58,560
+شغل، والشغل بيكون Zero إذا كانت الإزاحة والقوة
+
+953
+01:07:58,560 --> 01:08:03,240
+متعمدات زي لما نقول لو واحد جيتعب يضغط ويمشي في
+
+954
+01:08:03,240 --> 01:08:07,300
+الممر هذا، من أول ممر لآخر ممر، من اليوم مرة،
+
+955
+01:08:07,300 --> 01:08:16,650
+نقوله كده الشغل الجاذبية؟ كم ساوي؟zero ليش؟
+
+956
+01:08:16,650 --> 01:08:20,190
+لأن الجاذبية الأسفل وانت رايح يوجعي لديش زاحتك
+
+957
+01:08:20,190 --> 01:08:24,890
+أوفقية اذا لديش شغل جاذبية مش شغلك هاه انت كلش
+
+958
+01:08:24,890 --> 01:08:28,730
+شغلك شغل انت بيقوم بموار على جراح انت هتعرض و تخلق
+
+959
+01:08:28,730 --> 01:08:32,270
+هذه شغل اللي بيجلطوا ضد الاحتكاك مش شغل الجاذبية
+
+960
+01:08:33,180 --> 01:08:37,120
+الشغل انت وانت بتمشي هشوف لو مافيش احتكاك بتضر لك
+
+961
+01:08:37,120 --> 01:08:39,300
+رايح جاي ولا فيه عرق ولا حاجة أو تيجي بتشتغل في
+
+962
+01:08:39,300 --> 01:08:42,780
+شاي وقهوة ومافيش أي مشكلة فالمشكلة انت بتعمل شغل
+
+963
+01:08:42,780 --> 01:08:45,900
+ضد الاحتكاك وانت ناشط طبعا لو مافيش احتكاك مانعش
+
+964
+01:08:45,900 --> 01:08:50,560
+تمشي اصلاده ماشي احتكالي؟ اه طبعا لا عشتش فبالتالي
+
+965
+01:08:50,560 --> 01:08:54,520
+لكن لو يجي تقولتلك احسب الشغل الجاذبية وانت وايح
+
+966
+01:08:54,520 --> 01:08:58,620
+وجاه مغلى مرتين تلاتة اربعة Zero لأن القوة
+
+967
+01:08:58,620 --> 01:09:02,180
+والإزاحة متعمدات والشغل بيقول ي dot و باك اذا من
+
+968
+01:09:02,180 --> 01:09:08,420
+هال الشغل Zero إذا نقل قوة او E بمعنى اخر لازم
+
+969
+01:09:08,420 --> 01:09:11,860
+تكون متعمد على ال DL وDL على ال surface إذا دايما
+
+970
+01:09:11,860 --> 01:09:15,960
+ال Ecological Surface بيكون متعمد على خطوط المجال
+
+971
+01:09:15,960 --> 01:09:21,170
+الكهربائيمشي شباب طيب ما انا عندي شغلة بسيطة طالع
+
+972
+01:09:21,170 --> 01:09:26,010
+انا هنا the surface of my conductor اذا حكيتها هذا
+
+973
+01:09:26,010 --> 01:09:27,810
+conductor is a surface تبعه لازم يكون
+
+974
+01:09:27,810 --> 01:09:30,570
+equipotential surface ده انا عندي مثال لازم اخلي
+
+975
+01:09:30,570 --> 01:09:33,050
+ليوم لحد
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e829167b4861f20a4d7b013a27b539e89251a960
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/Qi5QOwe95rs_raw.srt
@@ -0,0 +1,3916 @@
+1
+00:00:11,200 --> 00:00:18,300
+بسم الله الرحمن الرحيم نستأنف ما تبقى من chapter 3
+
+2
+00:00:18,300 --> 00:00:24,400
+اللى كان بعنوان electric potential بدنا اربطنا ال
+
+3
+00:00:24,400 --> 00:00:28,400
+electric potential مع ال potential energy وحكينا
+
+4
+00:00:28,400 --> 00:00:36,150
+انهU بتساوي Q في V او V بتساوي U على Q وبالتالي
+
+5
+00:00:36,150 --> 00:00:40,750
+بدالة ال electric potential is derived from the
+
+6
+00:00:40,750 --> 00:00:46,190
+potential energy من هنا ايجا اسم ال potentialبعد
+
+7
+00:00:46,190 --> 00:00:49,130
+كده ربطناه بكونه مربوط بال energy و ال energy
+
+8
+00:00:49,130 --> 00:00:53,030
+مربوط بال work و ال work ربطناه بالقوة و القوة
+
+9
+00:00:53,030 --> 00:00:56,450
+مربوطة بالمجال الكهربائي فصار في عندي الجهد
+
+10
+00:00:56,450 --> 00:01:01,270
+الكهربائي بينجاب إذا عرفتي المجال الكهربائي على
+
+11
+00:01:01,270 --> 00:01:06,270
+اعتبار ان v عند نقطة م يساوي سالي بالتكامل من
+
+12
+00:01:06,270 --> 00:01:15,400
+المنة نهائية للنقطة E dot dl الشغل التانيE مش
+
+13
+00:01:15,400 --> 00:01:20,900
+دايما سهل نجيبه بالتالي اشتقنا قانون بيقول Vp
+
+14
+00:01:20,900 --> 00:01:30,680
+بيسوي KQ على R وهذا قانون for ported charges و
+
+15
+00:01:30,680 --> 00:01:34,660
+بيشبه ال E بيسوي KQ على R تلبية بظبط ولا لأ و
+
+16
+00:01:34,660 --> 00:01:38,940
+خلينا مثال و احنا بنحل مثال للمرة هذه الشباب كان
+
+17
+00:01:38,940 --> 00:01:45,220
+مقلوب من التالي بيقول كان في عندك two chargesQ1 و
+
+18
+00:01:45,220 --> 00:01:50,560
+Q2 و اوجد الجهد عند النقطة P اوجدتها اقول ان هذا
+
+19
+00:01:50,560 --> 00:01:55,160
+سؤال سهل المطلوب التالي قال لي ما هو الفرق في ال
+
+20
+00:01:55,160 --> 00:02:03,600
+potential energyبين هدسة system و system أخر بتولد
+
+21
+00:02:03,600 --> 00:02:07,560
+إذا جيبت Q تالتة from infinity و حطفها عند النقطة
+
+22
+00:02:07,560 --> 00:02:11,280
+B و قلنا ال delta U هو بيساوي نفس الشغل يعني هو
+
+23
+00:02:11,280 --> 00:02:15,620
+بده delta U بيساوي الشغل و الشغل هو نفس الشهد
+
+24
+00:02:15,620 --> 00:02:20,600
+مضروب بالشحنة المنقولة فقلت الشغل لما قلنا راجح
+
+25
+00:02:20,600 --> 00:02:25,740
+المحطمات السالب الذاكرين فقلناالشغل اللازم عشان
+
+26
+00:02:25,740 --> 00:02:30,920
+أنقل شحنة Q3 من المال النهائي عنده النقطة P بساوي
+
+27
+00:02:30,920 --> 00:02:36,460
+الشغل بساوي Q3 المنقولة في VB حسبتها وهذه قرتها
+
+28
+00:02:36,460 --> 00:02:42,600
+نفسها بساوي ΔU دلتا يو مش هي أصلا U final نقص
+
+29
+00:02:42,600 --> 00:02:46,570
+Unicialصح ولا لأ؟ طب انا انت عندك system مرة
+
+30
+00:02:46,570 --> 00:02:51,090
+initial و مرة final هذا الوضع Q1 و Q2 Initially
+
+31
+00:02:51,090 --> 00:02:55,930
+Final ايه صار فيه؟ يقول يصار في Q3 صح ولا لأ؟ يعني
+
+32
+00:02:55,930 --> 00:02:58,570
+initial كان في شحنتين final يجيب الشحنتات اللي
+
+33
+00:02:58,570 --> 00:03:03,450
+عندهم طب انت لو في عندك قانون يجيب لك U initial و
+
+34
+00:03:03,450 --> 00:03:06,770
+U final و جيب ال delta U بطلع نفس الجواب مفروض صح
+
+35
+00:03:06,770 --> 00:03:10,970
+ولا لأ؟أنا ماعنديش قانون يجيب لي U لما يكون عندي
+
+36
+00:03:10,970 --> 00:03:14,190
+شحنتين أو لما يكون تلاتة مهمتنا الأن نشتغل هذا
+
+37
+00:03:14,190 --> 00:03:17,650
+القانون أنه لما يكون في عندي شحنتين المفروض يكون
+
+38
+00:03:17,650 --> 00:03:20,790
+يلهم U و لما يكون عندي تلات شحنات برضه يكون يلهم U
+
+39
+00:03:20,790 --> 00:03:25,330
+كيف بدي أحسب U اني يسأل و يطلع نفس الجواب هذا هو
+
+40
+00:03:25,330 --> 00:03:31,110
+موضوعنا الأول في هذه المحاضرة هذا حلناها كل واحدة
+
+41
+00:03:32,070 --> 00:03:36,430
+potential energy of a system of pointed charges ..
+
+42
+00:03:36,430 --> 00:03:40,090
+a system of pointed charges .. في عندك pointed
+
+43
+00:03:40,090 --> 00:03:44,470
+charges زي هيك .. Q1, Q2, Q3 و مطلوب مني أودد U
+
+44
+00:03:44,470 --> 00:03:47,550
+لهم .. هذا system .. قال يجب أن تحسبها .. قال
+
+45
+00:03:47,550 --> 00:03:51,310
+بقدرش أحسبها .. أرجع للقانون الأصلي .. إيش هو
+
+46
+00:03:51,310 --> 00:03:56,310
+القانون الأصلي؟ كيف أنا شباب حسبت U ده لـ gravity؟
+
+47
+00:03:56,310 --> 00:04:01,000
+قلت هنا في MGH .. كيف حسبتها؟أيامها جبنا ال work
+
+48
+00:04:01,000 --> 00:04:07,120
+اللازم عشان أنجل هذا الجلام من الطاولة ل هنا و
+
+49
+00:04:07,120 --> 00:04:09,920
+بقول هذا ال work مصاب سالب دركتا يو و طلعناها
+
+50
+00:04:09,920 --> 00:04:13,460
+مظبوط ولا لأ و هي بتجيب it to you هنا نفس العملية
+
+51
+00:04:13,460 --> 00:04:21,920
+بدي انا اجيب ال work بقولدعنا نتخيل العمل
+
+52
+00:04:21,920 --> 00:04:25,460
+اللازم
+
+53
+00:04:25,460 --> 00:04:29,020
+لسبب دروح الشغل اللازم بواسطة قوة خارقية العمل
+
+54
+00:04:29,020 --> 00:04:35,740
+اللازم لتشكل نظام ثلاث نقاط انا مطلوب مني شباب
+
+55
+00:04:35,740 --> 00:04:45,300
+مطلوب مني اشكل نظام من ثلاث نقاطوتحسب لبعد كده ال
+
+56
+00:04:45,300 --> 00:04:47,900
+potential energy بتبعتهم الشير ال potential energy
+
+57
+00:04:47,900 --> 00:04:51,960
+بتساوي الشغل اللازم عشان هدول التلاتة ينحطوا جنبك
+
+58
+00:04:51,960 --> 00:04:54,900
+طب هدول التلاتة وين هم؟ قللي هدول التلاتة في المنة
+
+59
+00:04:54,900 --> 00:04:58,540
+النهائية اعتبرهم موجودين في المنة النهائية تمام؟
+
+60
+00:05:06,740 --> 00:05:09,540
+اذا انا في عندي تلات شحنات في المانا نهاية يا شباب
+
+61
+00:05:09,540 --> 00:05:11,840
+هو طبعا في المانا نهاية فيه شغال مليون شحنا انا
+
+62
+00:05:11,840 --> 00:05:14,180
+بجيب تلاتة منهم و احطهم واحدة واحدة و احطهم على
+
+63
+00:05:14,180 --> 00:05:18,260
+اللوح هجيدي اشوي كده بدي اسوي بقول الشحنا الشغل
+
+64
+00:05:18,260 --> 00:05:23,220
+اللازم عشان اوقل الشحنا من المانا نهاية للنقطة تما
+
+65
+00:05:23,220 --> 00:05:27,820
+بساوي الشحنا الموقولة في جهد النقطة مش هيك صح هيك
+
+66
+00:05:27,820 --> 00:05:31,900
+اتعاملنا معاهاطبعا بيقول لي to do so ايه باك تسوي
+
+67
+00:05:31,900 --> 00:05:35,140
+عشان انت تنجري الشحنات؟ we have to calculate the
+
+68
+00:05:35,140 --> 00:05:39,900
+work required to bring from infinity تجيب من
+
+69
+00:05:39,900 --> 00:05:45,340
+المنهاية each charge one by one تجيب واحدة واحدةكي
+
+70
+00:05:45,340 --> 00:05:48,640
+بتحسب هالشغل؟ بيقول لي as اللي تاول حاكيتها و
+
+71
+00:05:48,640 --> 00:05:51,500
+حاكيتها في المحاضرة الماضية as the potential at a
+
+72
+00:05:51,500 --> 00:05:54,840
+point is equal to the work required to bring a
+
+73
+00:05:54,840 --> 00:05:57,960
+positive unit charge from infinity to that point
+
+74
+00:05:57,960 --> 00:06:01,700
+هذا تعريف الشهد عند نقطة بيساوي الشغل اللازم عشان
+
+75
+00:06:01,700 --> 00:06:04,940
+أنقل واحدة الشحنات الموجبة من المال مهيأة لتلك
+
+76
+00:06:04,940 --> 00:06:10,040
+النقطة صح ولا لأ؟ عشان أنقل واحدة الشحنات طب لو
+
+77
+00:06:10,040 --> 00:06:13,800
+بدي أنقل شحنة معروفة مضروف قيمة الشحنة صح ولا لأ؟
+
+78
+00:06:14,570 --> 00:06:18,030
+therefore the work required to bring a charge q
+
+79
+00:06:18,030 --> 00:06:22,990
+from infinity to a point must equal to the
+
+80
+00:06:22,990 --> 00:06:26,810
+potential at that point multiplied by q هذا
+
+81
+00:06:26,810 --> 00:06:28,650
+القانون اللي استخدمته في المثال السابق وهذا
+
+82
+00:06:28,650 --> 00:06:31,530
+القانون اللي بتاوي حكيته ان الشغل اللازم عشان أنقر
+
+83
+00:06:31,530 --> 00:06:34,570
+شحنة من منة نهاية من نقطة B بالصيبه Q الشحنة
+
+84
+00:06:34,570 --> 00:06:40,030
+المنقولة اللي بدي أنقلها في V عند نقطة P تمام بقول
+
+85
+00:06:40,030 --> 00:06:43,860
+الآن هي أول شحنة قبل ما أجيب الشحنة هذههجيت فى
+
+86
+00:06:43,860 --> 00:06:47,980
+الباب تخلّى المباوية هذى فى اي شحنات فى الشحنات لو
+
+87
+00:06:47,980 --> 00:06:52,280
+انا ولبت طالب يستخدمني هذى القانون ويقولى احسبلى
+
+88
+00:06:52,280 --> 00:07:00,800
+جهود عند نقطة تنمية سفر فىش جهود صح حلو هجيت انت
+
+89
+00:07:00,800 --> 00:07:04,540
+بيحط عنده نقطة هذى اللى بيعتبرها سفر انا جهودها
+
+90
+00:07:04,540 --> 00:07:08,120
+سفر بدأتى بشحنة من المنهار وحطها هناك قديش بالذنب
+
+91
+00:07:08,120 --> 00:07:13,510
+شغل بالذنبالقانون الشغل احنا لما نقوله Q1 فيه جهد
+
+92
+00:07:13,510 --> 00:07:20,310
+عند النقطة كده جهد؟ سفر فشغل الأولان كده؟ Zero فهي
+
+93
+00:07:20,310 --> 00:07:26,030
+نجرتها ده Q1 حطيتها في النقطة يا بيقولي ماهو no
+
+94
+00:07:26,030 --> 00:07:32,080
+work فاش شغليحتاج الناس لتوضيح نقطة Q1 في موقع
+
+95
+00:07:32,080 --> 00:07:36,560
+واحد، لماذا 0؟ لأنه لا يوجد قوة إلكترونية في هذا
+
+96
+00:07:36,560 --> 00:07:37,000
+الموقع
+
+97
+00:07:43,350 --> 00:07:47,550
+الجهد محالها موجود؟ Zero إذا أنا حاطقها بداية
+
+98
+00:07:47,550 --> 00:07:52,410
+الشغل، بحسب القانون ما بدأت الشغل، إذا أول شغل لزم
+
+99
+00:07:52,410 --> 00:07:55,350
+عشان أنقل الشحنة الأولى كان بيساوي Zero، الآن
+
+100
+00:07:55,350 --> 00:07:58,590
+بتجيب شحنة تانية شباب، وين بتحطها؟ بتحط جنبها،
+
+101
+00:07:58,590 --> 00:08:01,390
+يعني حواليها، طب هاجد عند أي نقطة حوالها فيه جهد
+
+102
+00:08:01,390 --> 00:08:07,160
+ولا فيه جهد؟ هيه؟ إذا الآن وين بيبقى بتحطها؟الشغل
+
+103
+00:08:07,160 --> 00:08:11,020
+بيساوي Q2 اللي هي التانية في هذه الشغل ولا لأ هذا
+
+104
+00:08:11,020 --> 00:08:15,740
+الآن بيساوي واحد هذه السارقة إذا في عند أي نقطة
+
+105
+00:08:15,740 --> 00:08:20,040
+بيقوللي الآن next we place a secondary charge Q2
+
+106
+00:08:20,040 --> 00:08:25,080
+at a position R12 from Q هنا بدي أحط شحنة عند
+
+107
+00:08:25,080 --> 00:08:29,750
+النقطة هذهكأما بالنقطة هذه الشباب هي حقيقتها بقول
+
+108
+00:08:29,750 --> 00:08:36,470
+ع دي المسافات this requires a work بيساوي Q2 في V
+
+109
+00:08:36,470 --> 00:08:41,170
+و V1 جهد جاي من وين؟ من الـQ1 صح ولا لأ؟ وبتساوي
+
+110
+00:08:41,170 --> 00:08:44,190
+KQ1 على المسافة اللي هي أر واحد تانين ولا لأ؟
+
+111
+00:08:44,190 --> 00:08:48,590
+وبتساوي إيه؟ هذا هو هال KQ1 على أر واحد تانين
+
+112
+00:08:48,590 --> 00:08:53,850
+مجرومة في Q2 الشحن المعقولة هذا الشغل التاني تمام؟
+
+113
+00:08:54,550 --> 00:08:57,290
+بدي اجيب الشغل التالت واحدة انا بدي اجيب تلاتة
+
+114
+00:08:57,290 --> 00:09:01,130
+التلاتة انا بدي احطها الشباب بدي احطها هنا هناك
+
+115
+00:09:01,130 --> 00:09:06,650
+انت قاطع الخطين هدول هناك فيه جهد فيه جهد من شحن
+
+116
+00:09:06,650 --> 00:09:13,230
+تين براو طب تده تحسبهم اه كيك واحد على ار واحد
+
+117
+00:09:13,230 --> 00:09:18,090
+تلاتة زائد كيك اتنين على ار اتنين تلاتة صح ولا لأ
+
+118
+00:09:18,090 --> 00:09:20,790
+تمام بيقولي اي كيك تلاتة عطيتها
+
+119
+00:09:23,420 --> 00:09:30,320
+We now must do work given as Q3 في P1 و P2 و P1 و
+
+120
+00:09:30,320 --> 00:09:34,620
+P2 و P1 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+121
+00:09:34,620 --> 00:09:36,920
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+122
+00:09:36,920 --> 00:09:38,720
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+123
+00:09:38,720 --> 00:09:38,720
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+124
+00:09:38,720 --> 00:09:39,920
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+125
+00:09:39,920 --> 00:09:46,260
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2 و
+
+126
+00:09:46,260 --> 00:09:52,380
+P2 و P2 و P2 و P2 و P2 و P2 و P2 و P2
+
+127
+00:09:52,380 --> 00:09:56,210
+و Pزاد هذا .. زاد هذا .. صح ولا لا الشغل الكل
+
+128
+00:09:56,210 --> 00:10:00,790
+بتقدر تجيبوه؟ اجمعوه .. هي الشغل الكل طب هذا الشغل
+
+129
+00:10:00,790 --> 00:10:04,850
+الكل وين راح؟ قال يتخزن جوا طاقة وضع ولا لا؟ طاقة
+
+130
+00:10:04,850 --> 00:10:08,870
+وضع .. حاجة نرجع .. نرجع ل .. هذا .. هذا ال remote
+
+131
+00:10:08,870 --> 00:10:12,550
+حاجة انا اللي جيت بدي اقول من ها لها ما زال .. ما
+
+132
+00:10:12,550 --> 00:10:17,210
+زال الشغل؟ جوا تخزن جوا طاقة وضع ولا لا؟ اذا الشغل
+
+133
+00:10:17,210 --> 00:10:20,470
+المبدون بتخزن جوا طاقة وضع لان انت حسبت الشغل طب
+
+134
+00:10:20,470 --> 00:10:25,990
+بده طاقة وضع ما هو نفسهما هو نفسه، تمام؟ بيقول
+
+135
+00:10:25,990 --> 00:10:30,630
+الآن The total work required to assemble a system
+
+136
+00:10:30,630 --> 00:10:35,220
+of three chariots is thenالشغل اللي تبقى الأول زي
+
+137
+00:10:35,220 --> 00:10:37,680
+الشغل التاني زي الشغل التالت يعني الشغل اللي لازم
+
+138
+00:10:37,680 --> 00:10:40,340
+عشان اجيب الأولى والشغل اللي لازم عشان اجيب
+
+139
+00:10:40,340 --> 00:10:43,040
+التانية والشغل اللي لازم عشان اجيب التالتة الأول
+
+140
+00:10:43,040 --> 00:10:48,940
+مش zero والتالي KQ1 وKQ2 والتالت فيه له حدين جمعهم
+
+141
+00:10:48,940 --> 00:10:53,020
+وقول هذا الشغل اللي هتحصل هو this work is stored
+
+142
+00:10:53,020 --> 00:10:57,140
+خزين as an electrostatic energy in the system so
+
+143
+00:10:57,140 --> 00:11:01,660
+we write هاي اليومطبعا انتوا شباب احنا لما نقول في
+
+144
+00:11:01,660 --> 00:11:04,460
+potential energy هايو potential energy ايش يعني؟
+
+145
+00:11:04,460 --> 00:11:07,240
+لو بتفلته و بيضله زي ما هو ال potential energy
+
+146
+00:11:07,240 --> 00:11:09,880
+اللي مخزنه تتحول لطاقة وضعه ولا لأ ده مازل زي
+
+147
+00:11:09,880 --> 00:11:14,860
+الزنبارك حيث الزنبارك شده او اتغطه في طاقة وضعه
+
+148
+00:11:14,860 --> 00:11:18,600
+ساروته ولا لأ تفلته بيضله ولا برجع برجع لأن طاقة
+
+149
+00:11:18,600 --> 00:11:24,600
+وضعه تتحرك لطاقة حركة طيب سؤال شباب ال level تبقى
+
+150
+00:11:24,600 --> 00:11:28,820
+الطاولة نرجع لفيزي ألف يوجي لجسم على الأرض موجب
+
+151
+00:11:28,820 --> 00:11:34,810
+ولا سالبفالتو بيضيء على الطاولة ايش بيدوه؟ بيدوه
+
+152
+00:11:34,810 --> 00:11:39,450
+energy وهذا معناته السالب انه بحتاج طاقة نقص عنده
+
+153
+00:11:39,450 --> 00:11:44,150
+فلما يكون تحت كونه U بيكون سالبة تحت ال level طبعا
+
+154
+00:11:44,150 --> 00:11:46,690
+الذنبالك مافيش مجال يكون U سالبة وانتوا عرفتوها
+
+155
+00:11:46,690 --> 00:11:50,980
+ليش لان مافيش عندي وضعV زنبرك بده حد يساعده عشان
+
+156
+00:11:50,980 --> 00:11:55,000
+يرجع لـ equilibrium بشي صح ولا لأ؟ في وضع بدك حد
+
+157
+00:11:55,000 --> 00:11:59,180
+يساعد الجسم عشان يرجع لالاتزال؟ لأ بس هنا فيه
+
+158
+00:11:59,180 --> 00:12:01,820
+أوضاع في ال gravity الجسم لما يكون تحت ال level
+
+159
+00:12:01,820 --> 00:12:05,360
+بده حد يساعده يرجع لل level صح ولا لأ؟ فبتكون ليه
+
+160
+00:12:05,360 --> 00:12:09,470
+سالبة مرات وهي معناه السالب بس بالspring لأهذه هي
+
+161
+00:12:09,470 --> 00:12:14,470
+الآن هذه يونى تباتة طب لو فيه أربعة بقولي بقدر
+
+162
+00:12:14,470 --> 00:12:17,450
+أجيبها لو فيه خمسة بقدر أجيبها بس بتطول أكتر
+
+163
+00:12:17,450 --> 00:12:24,010
+فبسؤالي الآن لو في بس شحنتين ايش بيكون الجواب بس
+
+164
+00:12:24,010 --> 00:12:28,370
+الأولىبس حد واحد اتطلع في مين اعملها دي مش هدوتها
+
+165
+00:12:28,370 --> 00:12:30,950
+السحنات اتطلع كده في الحدود كده كنا عارفين انها
+
+166
+00:12:30,950 --> 00:12:34,330
+كده ولا لأ كده عارفينها اتطلع واحد تلاتة وواحد
+
+167
+00:12:34,330 --> 00:12:37,270
+تلاتة وتلاتة كده كده كده كده كده كده كده كده كده
+
+168
+00:12:37,270 --> 00:12:39,090
+كده كده كده كده كده كده كده كده كده كده كده كده
+
+169
+00:12:39,090 --> 00:12:40,290
+كده كده كده كده كده كده كده كده كده كده كده كده
+
+170
+00:12:40,290 --> 00:12:44,630
+كده كده كده كده كده كده كده كده كده كده كده كده
+
+171
+00:12:46,280 --> 00:12:50,080
+يعني ستة ترمات طلع واحد تنين واحد تلاتة واحد اربعة
+
+172
+00:12:50,080 --> 00:12:54,000
+اتنين تلاتة اتنين اربعة تلاتة اربعة بطلع ستة لو في
+
+173
+00:12:54,000 --> 00:12:57,240
+خمسه بضالي ماشي هيك طب لو كان كله شحنتين ع كمتين
+
+174
+00:12:57,240 --> 00:13:02,000
+واحد تنين مافيش غيرهم تمام؟روحنا مرات نجيب أسلة
+
+175
+00:13:02,000 --> 00:13:04,780
+كتير سهلة، نتوقع أنها تكون سهلة عشان تسهل، المرة
+
+176
+00:13:04,780 --> 00:13:07,260
+دي بنشرحنا two pointed charges، قولنا هم اوديو ديو
+
+177
+00:13:07,260 --> 00:13:11,520
+تبعتها عشان بس الواحد يقول Q1 في Q2 على R وخلاص،
+
+178
+00:13:11,520 --> 00:13:15,620
+بقى هو حطوا تلات تلمات هدول، الطلاب، وقالوا تلات
+
+179
+00:13:15,620 --> 00:13:17,540
+تلمات هوا، تلات تلمات هوا، three pointed charges،
+
+180
+00:13:17,540 --> 00:13:21,800
+مش ل two pointed charges، تمامبقول لي the
+
+181
+00:13:21,800 --> 00:13:25,220
+potential energy of a system of any charges can be
+
+182
+00:13:25,220 --> 00:13:28,700
+calculated in a similar fashion نفس القضية ده دي
+
+183
+00:13:28,700 --> 00:13:32,500
+بالأربعة على الخمسة بيقولي for four charges for
+
+184
+00:13:32,500 --> 00:13:36,760
+example we have هاي الأربعة ست رمال واحد اتنين
+
+185
+00:13:36,760 --> 00:13:40,420
+واحد تلاتة واحد اربعة اتنين تلاتة اتنين اربعة
+
+186
+00:13:40,420 --> 00:13:43,140
+تلاتة اربعة طبعا واضح لما اقول واحد اتنين ايه دي
+
+187
+00:13:43,140 --> 00:13:45,880
+المسافة بين مين ومين واحد اتنين لما اقول واحد
+
+188
+00:13:45,880 --> 00:13:49,780
+تلاتة بدي واحد تلاتة وهكذا سهل القانون طبعا نرجع
+
+189
+00:13:49,780 --> 00:13:55,240
+لهذاهذه انا حسبت كيف شباب جالي بدي دالتا U و
+
+190
+00:13:55,240 --> 00:13:58,720
+قولتله مالساوي الشغل و حسبتله الشغل طب انا ماجولي
+
+191
+00:13:58,720 --> 00:14:04,220
+بديش انا الطريقة هذه بدي U final نقص U initial
+
+192
+00:14:04,220 --> 00:14:06,280
+مظبوط ولا لا؟
+
+193
+00:14:09,510 --> 00:14:15,290
+تلاتة finally هاي قانونها طب initially تنتين ..
+
+194
+00:14:15,290 --> 00:14:18,310
+تنتين كانوا .. هو أول كان في تنتين و بعدين حاطب
+
+195
+00:14:18,310 --> 00:14:21,530
+تلتة .. initial كانت تنتين و final كانت تلاتة ..
+
+196
+00:14:21,530 --> 00:14:24,230
+final بيجيبه من هذا القانون و initially بيجيب هذا
+
+197
+00:14:24,230 --> 00:14:28,770
+الحد اطلع حر من بعد مفيد يطلع معاك نفسي جواب ..
+
+198
+00:14:28,770 --> 00:14:33,850
+تمام؟ قدّم نشوفهبقول for a system of only two
+
+199
+00:14:33,850 --> 00:14:35,510
+pointed charges اذا كان عنده point of charge
+
+200
+00:14:35,510 --> 00:14:39,230
+اتفاقنا كم حد في واحد بكون هذا الجواب ده اللي بدي
+
+201
+00:14:39,230 --> 00:14:43,350
+انا شويه اعلق عليه هذه U احنا اتفاقنا ل spring U
+
+202
+00:14:43,350 --> 00:14:45,270
+دوام الموجة بقى بقى ال gravity و مرات موجة بقى و
+
+203
+00:14:45,270 --> 00:14:47,630
+مرات سالبة حسب انها تحت ال level او فوق ال level
+
+204
+00:14:47,630 --> 00:14:50,170
+صح ولا لأ و صار في عندنا sense ايش معنات سالبة و
+
+205
+00:14:50,170 --> 00:14:53,950
+ايش معنات موجة بقى طيب هنا ممكن تكون موجة بقى و
+
+206
+00:14:53,950 --> 00:14:57,830
+ممكن تكون سالبة ممكن
+
+207
+00:14:57,830 --> 00:15:02,330
+انت كانت شحنة سالبةاه كم شحنة فين؟ تنتين طب لو
+
+208
+00:15:02,330 --> 00:15:07,390
+تنتين سوالب؟أو واحدة منهم موجبة و سالبة؟ إذا ممكن
+
+209
+00:15:07,390 --> 00:15:10,330
+تكون سالبة إذا كانت واحدة موجبة و واحدة سالبة صح
+
+210
+00:15:10,330 --> 00:15:13,190
+ولا لأ؟ إذا ده نقلطة ممكن تكون موجبة و ممكن تكون
+
+211
+00:15:13,190 --> 00:15:17,350
+سالب بيقول ان إذا كانت القوات من نفس الصينية لاتن
+
+212
+00:15:17,350 --> 00:15:21,890
+تن موجبات لاتن تن سالبات U is positive which means
+
+213
+00:15:21,890 --> 00:15:25,290
+that the force is repulsive ولمّا يكونوا موجبات
+
+214
+00:15:25,290 --> 00:15:29,930
+بيكون القوة repulsive ولمّا تكون شباب U positive
+
+215
+00:15:30,820 --> 00:15:35,620
+معناته الجسم عنده طاقة زيادة، صح؟ يعني فلته بتتحرك
+
+216
+00:15:35,620 --> 00:15:39,500
+على مكان معانا معين، هدول أنه يجيب الشحنتين جانب
+
+217
+00:15:39,500 --> 00:15:43,540
+بعض، فلتهم بيبعدوا عن بعض ولا بيبعدوش، هيبعدوا عن
+
+218
+00:15:43,540 --> 00:15:46,980
+بعض، إذا معناته هذا بقول عن قوة repulsive، دايما
+
+219
+00:15:46,980 --> 00:15:50,520
+لما تكون قوة تنافورية، you بتكون positive، تمام؟
+
+220
+00:15:51,260 --> 00:15:54,500
+بقول if the charge R of the same sign U is
+
+221
+00:15:54,500 --> 00:15:57,660
+negative which means that the force is attractive
+
+222
+00:15:57,660 --> 00:16:01,220
+املازجين الطاقد زي لما انا اقول هذه تحت الأرض ما
+
+223
+00:16:01,220 --> 00:16:04,040
+هو املازج في الأرض املازج في الأرض ايش اللي طلعوا
+
+224
+00:16:04,040 --> 00:16:08,000
+على الطاولة بدوا حد يساعده وهدول إلكترونين إلكترون
+
+225
+00:16:08,000 --> 00:16:12,080
+وبروتون خلينا نقول different sign opposite sign
+
+226
+00:16:12,080 --> 00:16:15,820
+إلكترون وبروتون فلتهم يبقوا بعيد؟ بدك حد يبقى
+
+227
+00:16:15,820 --> 00:16:18,620
+أيدهم عن بعض ولا لأ عشان كده U تبعتهم بتكون سالي
+
+228
+00:16:18,620 --> 00:16:22,300
+بعدوانتوا خدتوا في الكيميا الثانوية العامة كمية
+
+229
+00:16:22,300 --> 00:16:26,140
+اذكركم فيها كان في .. ماعرفش انا اشي رمزها احنا
+
+230
+00:16:26,140 --> 00:16:31,780
+نموذها بال E بتساوي سالب تلتاش point ستة electron
+
+231
+00:16:31,780 --> 00:16:37,120
+volt مرّت عليكم كمية دي انا بحاول ميجلدكبس هدى
+
+232
+00:16:37,120 --> 00:16:42,920
+الكمية هدى هى طاقة المضار الأول صح هدى من وين
+
+233
+00:16:42,920 --> 00:16:45,240
+إجتوا؟ مش هو المضار الأول؟ قال المضار الأول هدى هو
+
+234
+00:16:45,240 --> 00:16:48,600
+هنا فيه زائد electron بوتون يعنى و هنا فيه
+
+235
+00:16:48,600 --> 00:16:53,680
+electron بدور حوالين مش هيك؟ يعني هكذا مش احنا فيه
+
+236
+00:16:53,680 --> 00:16:57,760
+تنتهي electron و بوتون تمام؟ يلّا أحسب يوم قال لي
+
+237
+00:16:57,760 --> 00:17:02,940
+يلّا أحسب يوم سوى كي اكيو واحد E اكيو اتنين E بس
+
+238
+00:17:02,940 --> 00:17:08,620
+بالسالبعلى R تربيعي وR تربيعي مسافة طبعا فرقة
+
+239
+00:17:08,620 --> 00:17:11,420
+الهيبروجين اللي يكترنها الـ 0.5 Angstrom اذا كنتوا
+
+240
+00:17:11,420 --> 00:17:16,960
+ذاكرينها 0.5
+
+241
+00:17:16,960 --> 00:17:20,540
+Angstrom احسبها تطلع هذا المقدارهيضيط انا بدى ايجي
+
+242
+00:17:20,540 --> 00:17:26,460
+للسالب عشان إلكترون وبروتون مودة بسالب وعشان هيك
+
+243
+00:17:26,460 --> 00:17:31,900
+هل الإلكترون بفلت من النواء لحاله ولا بده طاقة زى
+
+244
+00:17:31,900 --> 00:17:35,920
+اللى كان على أرض بده طاقة عشان يرجع لف طاولة فهذا
+
+245
+00:17:35,920 --> 00:17:40,690
+مربوطبينه قوة attractive عشان كده U بتكون negative
+
+246
+00:17:40,690 --> 00:17:43,850
+فلما كان تكون دائما U negative بتكون قوة
+
+247
+00:17:43,850 --> 00:17:47,050
+attractive لما تكون U positive بيكون حاجة بتطرد
+
+248
+00:17:47,050 --> 00:17:51,490
+فيه يعني زي هذا فالته بتطرد من المكان هذا بتطرد
+
+249
+00:17:51,490 --> 00:17:58,150
+مقدراش يقعد من مكانه لأن فيه حاجة بترضهو انا اتقلت
+
+250
+00:17:58,150 --> 00:18:01,290
+طاقة اترجع فانت كنت ترجع و انا كنت ناس كفلته طب
+
+251
+00:18:01,290 --> 00:18:03,550
+انا اترجع و بيبقى اختار طاقة شغالة تانية لكن ال
+
+252
+00:18:03,550 --> 00:18:06,410
+الاترون و البروترون بعيدهم عن بعض بحالهم بجالبهم
+
+253
+00:18:06,410 --> 00:18:10,030
+بحالهم بجالبهم ده مش حد يساعدهم إلى الزجاج بعد لإن
+
+254
+00:18:10,030 --> 00:18:12,410
+فيه قوة بيجيبهم تمام؟ حلو
+
+255
+00:18:15,710 --> 00:18:18,730
+هذا الـExample يتوقن بالضحك عنه بيقول لي find the
+
+256
+00:18:18,730 --> 00:18:20,670
+potential energy of the system given in the
+
+257
+00:18:20,670 --> 00:18:23,490
+previous example جيبلي جيب U final كلها التلاتة
+
+258
+00:18:23,490 --> 00:18:27,410
+اللي موجودين هذه التلاتة Q تلاتة جيبلي U final U
+
+259
+00:18:27,410 --> 00:18:31,070
+initial سهلة جيبها انا وياكم نطلع بيقول لي U هذا
+
+260
+00:18:31,070 --> 00:18:35,610
+هي القانون سهل مش تلاتة شباب تلاتة واحد اتنين واحد
+
+261
+00:18:35,610 --> 00:18:39,090
+تلاتة اتنين تلاتة اطلعوا المقام واحد اتنين تلاتة
+
+262
+00:18:39,090 --> 00:18:45,740
+مترأربعة متر اتنين ثلاثة خمسة متر كله معروف تمام
+
+263
+00:18:45,740 --> 00:18:50,880
+اضرب طبعا الموجة موجة بصالب صالب حسب ما هطلعتها
+
+264
+00:18:50,880 --> 00:18:54,820
+الجدّي have you final شباب لو جيب دي حسب انا وياكم
+
+265
+00:18:54,820 --> 00:18:57,060
+you initial ونشوف نطلع مع بعض you initial كيف بدي
+
+266
+00:18:57,060 --> 00:19:01,180
+اجيبها you initial بتساوي كيك كيك واحد كيك اتنين
+
+267
+00:19:01,180 --> 00:19:08,540
+على اعلى واحد كمين صح ولا لا نيجي نحسب بتساوي تسعة
+
+268
+00:19:08,540 --> 00:19:10,260
+في عشر او تسعة صح؟
+
+269
+00:19:24,310 --> 00:19:28,850
+تلاتة في التلاتة في التلاتة في التلاتة في التلاتة
+
+270
+00:19:28,850 --> 00:19:30,990
+في التلاتة في التلاتة في التلاتة في التلاتة في
+
+271
+00:19:30,990 --> 00:19:33,170
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+272
+00:19:33,170 --> 00:19:36,150
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+273
+00:19:36,150 --> 00:19:37,170
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+274
+00:19:37,170 --> 00:19:37,230
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+275
+00:19:37,230 --> 00:19:37,290
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+276
+00:19:37,290 --> 00:19:37,290
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+277
+00:19:37,290 --> 00:19:37,290
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+278
+00:19:37,290 --> 00:19:37,290
+التلاتة في التلاتة في التلاتة في التلاتة في
+
+279
+00:19:37,290 --> 00:19:38,230
+التلاتة في التلاتة في التلاتة في التلاتةبترحوا من
+
+280
+00:19:38,230 --> 00:19:42,830
+بعض بيطلع جواب B من المثال السابق لإيه يتحسب
+
+281
+00:19:42,830 --> 00:19:47,370
+الشباب هذا ناقص هذا بيطلع جواب التاني هي هي طبعا
+
+282
+00:19:47,370 --> 00:19:51,230
+بالتالي مافيش عندي انا أي اشكالية في اني اجيب
+
+283
+00:19:51,230 --> 00:19:56,350
+بطريقة هذه او بطريقة هذه بس فقط انه ال potential
+
+284
+00:19:56,350 --> 00:20:00,070
+energy اللي بيساوي ال work و ال work عرفنا كيف
+
+285
+00:20:00,070 --> 00:20:07,480
+نجيبه الآن العنوانالأساسي الأخر و المهم هو
+
+286
+00:20:07,480 --> 00:20:13,040
+electric potential due to a continuous charge
+
+287
+00:20:13,040 --> 00:20:18,880
+distribution زي ايش؟ زي الرد والرنج والدسك،
+
+288
+00:20:18,880 --> 00:20:24,340
+تذكرينهم؟ تمام، وزي الاسفير والسلندر وكل هذه
+
+289
+00:20:24,340 --> 00:20:29,830
+الأموريقول لي انت كيف حلته المرة هديك؟ كنت اخد
+
+290
+00:20:29,830 --> 00:20:35,130
+عنصر صح ولا لأ؟ اجيب المجال لعنصر ثم اكامل و قبل
+
+291
+00:20:35,130 --> 00:20:38,730
+ما اكامل انت بيتعامل مع vectors كنت اخد المراكبات
+
+292
+00:20:38,730 --> 00:20:41,230
+الصينية لحال و المراكبات الصينية لحال هذا في
+
+293
+00:20:41,230 --> 00:20:45,070
+المجال الكعربائي لما تكون أمور صعبة واحد جاوس يجيب
+
+294
+00:20:45,070 --> 00:20:49,980
+بطريقة تانية ضلي إذا كانالشكل حلو والdistribution
+
+295
+00:20:49,980 --> 00:20:54,060
+سيمتريك بإمكانك تستخدم قانون gauss صح ولا لأ؟ طيب
+
+296
+00:20:54,060 --> 00:20:57,420
+هنا إيش بقى تسوي؟ بيقول if a charge is
+
+297
+00:20:57,420 --> 00:21:01,540
+continuously distributed in a given region two
+
+298
+00:21:01,540 --> 00:21:04,140
+methods will be followed بدي أستخدم طريقة تانية
+
+299
+00:21:04,140 --> 00:21:07,520
+الآن إيش أول طريقة؟بيقول if the charge
+
+300
+00:21:07,520 --> 00:21:11,340
+distribution is well known, we can proceed as we
+
+301
+00:21:11,340 --> 00:21:13,940
+do for calculating the electric field discussed
+
+302
+00:21:13,940 --> 00:21:17,960
+before بيقول إذا الأشكال مقلوفة إلك، إيش هو الملوف
+
+303
+00:21:17,960 --> 00:21:23,440
+لكم؟ الرد ملوف أو مش ملوف؟ و ال disk؟ و ال ring؟
+
+304
+00:21:23,440 --> 00:21:26,660
+هدول السهلين اللي حلتهم أنا بالمجال كربائي بتعرف
+
+305
+00:21:26,660 --> 00:21:30,970
+تاخد رصد لل ring ولا لأ؟ ال disk إيش عنصرها؟ring
+
+306
+00:21:30,970 --> 00:21:34,270
+يعني أنا ماعرفهم صاروا مرين بيقولوا إذا هذا الكلام
+
+307
+00:21:34,270 --> 00:21:37,290
+صار اعمل زي ما كنت أعمل في المجال الكهربائي إيه
+
+308
+00:21:37,290 --> 00:21:41,230
+كنت أعمل في المجال الكهربائي؟ كنت أختار عنصر؟ كده
+
+309
+00:21:41,230 --> 00:21:44,730
+الشحنات للعنصر؟ دي كيو بعد كده كنت أجيب المجال أنا
+
+310
+00:21:44,730 --> 00:21:49,810
+إيش بدي أجيب؟ الجهودDV بيقولي بعد كده finding the
+
+311
+00:21:49,810 --> 00:21:53,810
+potential DV due to this element ده element واحد و
+
+312
+00:21:53,810 --> 00:21:56,230
+بعد كده بعد كده احنا نسوي و ده كامل هنا قبل ما
+
+313
+00:21:56,230 --> 00:21:58,730
+كامل حاطة الملاعظة هنا مافيش ملاحظة لإنها بتتعامل
+
+314
+00:21:58,730 --> 00:22:01,790
+مع scalars صح ولا لأ يعني ده بتتطلع لأ على
+
+315
+00:22:01,790 --> 00:22:07,210
+directions ولا على حاجة بعد كده بيقولي and then
+
+316
+00:22:07,210 --> 00:22:09,370
+integrating over the entire child distribution
+
+317
+00:22:09,370 --> 00:22:14,360
+وكامل بطلع الجواب فيش أسهل منهطيب طب و اذا لاقي
+
+318
+00:22:14,360 --> 00:22:17,800
+الشكل مش مشهور و بغلبني بقولي برضه في عندك طريقة
+
+319
+00:22:17,800 --> 00:22:21,300
+تانية بقولي if the electric field of that charge
+
+320
+00:22:21,300 --> 00:22:24,400
+distribution can't be calculated easily اذا عندك
+
+321
+00:22:24,400 --> 00:22:29,140
+الشكل غلبك لكن في حالة ان المجال تعرف تجيبه بسهولة
+
+322
+00:22:29,140 --> 00:22:32,900
+بسطر نص سطر وهذا متاتاش إلا إذا كان قانون جرسي عن
+
+323
+00:22:32,900 --> 00:22:37,000
+طبيقة انك تجيبه بسطربقوليش مانعت easily بقولك
+
+324
+00:22:37,000 --> 00:22:39,960
+using gauss law for instance إذا تقدر تطبق عليها
+
+325
+00:22:39,960 --> 00:22:41,760
+قوانين gauss قوانين gauss فانت تتطبق عليها على
+
+326
+00:22:41,760 --> 00:22:45,780
+ثلاث أنواع، ذاكرينها؟ إذا هذا الحل يعني إيه انت
+
+327
+00:22:45,780 --> 00:22:49,340
+جبته، جالي ارجع لأصل القانون، إيش هو أصل القانون؟
+
+328
+00:22:49,340 --> 00:22:52,580
+بقولك هي أصل القانون، V عند نقطة تساوي السيارة
+
+329
+00:22:52,580 --> 00:22:55,320
+المالة نهارة من نقطة P، E بوتد ديالها، جت إيه؟
+
+330
+00:22:55,320 --> 00:22:58,120
+انجابت ولا مانجابتش؟ شرطها مانجابت، خلاص بصير
+
+331
+00:22:58,120 --> 00:23:02,170
+التكامل عادة سهل التعامل معاهإن هذه الطريقة أو هذا
+
+332
+00:23:02,170 --> 00:23:06,350
+الطريقة و حسب الشكل و احنا هتصير مفهومين ضمنها
+
+333
+00:23:06,350 --> 00:23:10,510
+نبدأ بالطريقة الأولى الأشكال الحلوة اللي اتعرفنا
+
+334
+00:23:10,510 --> 00:23:16,730
+عليها بيقول a wire of length LHas a tragic U
+
+335
+00:23:16,730 --> 00:23:21,510
+uniformly distributed يعني Lambda ثابتة uniformly
+
+336
+00:23:21,510 --> 00:23:26,030
+distributed طبعا Lambda اخترت لأنه لعي طبعا Find
+
+337
+00:23:26,030 --> 00:23:28,250
+the electric potential at a point along its axis
+
+338
+00:23:28,250 --> 00:23:31,730
+and a distance a from one end ايه ولا دي انا
+
+339
+00:23:31,730 --> 00:23:36,830
+عاملها ولا انا عارف طبعا
+
+340
+00:23:36,830 --> 00:23:41,370
+الذاكرين نقطة في المجال هناصح فى المجال اللى فوق
+
+341
+00:23:41,370 --> 00:23:45,210
+كانت النقطة هنا طبعا لو أخدنا نقطة فوق حصير فى
+
+342
+00:23:45,210 --> 00:23:49,010
+صعوبة فى المجال ال directions وإذا كنتوا ذاكرين او
+
+343
+00:23:49,010 --> 00:23:52,250
+مش ذاكرين إذا كنتوا حالين فى الابتعاد فى سؤال
+
+344
+00:23:52,250 --> 00:23:57,180
+النقطة فى النص فوق هناصح ولا لأ؟ كان المفروض انك
+
+345
+00:23:57,180 --> 00:24:01,000
+تحلها طبعا كل ما اتغيرت النقطة شباب بالنسبة للمجال
+
+346
+00:24:01,000 --> 00:24:05,900
+معضلة لأن ال directions بتغير صح الجهد لأ الجهد
+
+347
+00:24:05,900 --> 00:24:08,860
+وين ما بتحطها بتلاقي الأمور أسهل شوف واحد طل
+
+348
+00:24:08,860 --> 00:24:13,260
+النقطة فوق كان بيدأ اشتغل قال اشتغل زي ما اشتغلت
+
+349
+00:24:13,260 --> 00:24:18,240
+في المجال واتميزي تسويهبيقولي we divide the wire
+
+350
+00:24:18,240 --> 00:24:23,220
+الأحمر into small elements each of length dx and
+
+351
+00:24:23,220 --> 00:24:28,360
+charge dq دي اكس عشان هو محور الصيني هال .. هال
+
+352
+00:24:28,360 --> 00:24:32,700
+شفتوا عنصر كيف؟ عنصري أنا عارف جدش احنا تقولنا؟ دي
+
+353
+00:24:32,700 --> 00:24:37,300
+كيو و طوله دي اكس اختارته عنصر الخطوة التالية تبقى
+
+354
+00:24:37,300 --> 00:24:39,820
+عن عنصر اللي اختارته ممكن اعتبره point ولا مش
+
+355
+00:24:39,820 --> 00:24:43,640
+ممكن؟ point point و ال point بقدر أديه بجهد ل
+
+356
+00:24:43,640 --> 00:24:51,200
+point A KQ على RV بيتساوي KQ over R هي قانون ال
+
+357
+00:24:51,200 --> 00:24:54,420
+point هو أنا أخدت أنصر عشان أرجع أطبق عليه جاني
+
+358
+00:24:54,420 --> 00:24:57,080
+يجيب جهده الآن على اعتبار المسافة هذه اعتبارها X
+
+359
+00:24:57,080 --> 00:25:05,960
+جديش جهد DQ شباب الجهد بالنسبة للأنصر KDQ على X
+
+360
+00:25:08,890 --> 00:25:12,210
+Since each element can be considered as a pointed
+
+361
+00:25:12,210 --> 00:25:15,070
+charge, the electric potential اللي بدي يصير رمزه
+
+362
+00:25:15,070 --> 00:25:18,750
+DV عشان انه جايب هذا العنصر, due to one of these
+
+363
+00:25:18,750 --> 00:25:21,950
+elements a distance x-r of B is
+
+364
+00:25:27,910 --> 00:25:32,790
+تمام احنا ماشي بنشتغل .. اه البعد R تمام KDQ على R
+
+365
+00:25:32,790 --> 00:25:37,090
+.. حلو؟ KDQ على R .. R بقدر يجيبها من FIFA Worlds
+
+366
+00:25:37,090 --> 00:25:42,070
+ولا لا؟ بقدر يجيبها .. طلعناها .. مدهن .. هذا
+
+367
+00:25:42,070 --> 00:25:45,390
+العنصر .. إيش بدي أسوي الآن؟ ذاكت كامل .. بدي أطلع
+
+368
+00:25:45,390 --> 00:25:49,130
+على ال direction؟هو ميزة كبيرة، مش طبعا عادلش، لو
+
+369
+00:25:49,130 --> 00:25:53,030
+حد بتجيب المجال، كما قلت المجال هي اتجاهه، طب غير
+
+370
+00:25:53,030 --> 00:25:57,310
+العنصر، اتغير المجال، اتجاهه، طب احط العنصر هنا،
+
+371
+00:25:57,310 --> 00:26:00,350
+اتغير الاتجاه، وبالتالي كيبك السوي، كيبك تحلي
+
+372
+00:26:00,350 --> 00:26:02,390
+المراقبة الصينية و المراقبات الصادرية، هنا مافيش
+
+373
+00:26:02,390 --> 00:26:05,690
+كل هذا كلام، انت جبت الجهد، بعدين يقولك القطة
+
+374
+00:26:05,690 --> 00:26:10,450
+التالية، التكامل مباشرة، بعد ما جبت DV، ايش تكامل
+
+375
+00:26:10,450 --> 00:26:16,110
+ال DV؟هذه المدكية كامل دي دي بتطلع لك V كلها بيقول
+
+376
+00:26:16,110 --> 00:26:20,690
+since we are dealing with a scalar quantity we can
+
+377
+00:26:20,690 --> 00:26:24,430
+integrate the above expression directly to get the
+
+378
+00:26:24,430 --> 00:26:25,990
+potential due to the wall wire
+
+379
+00:26:30,520 --> 00:26:34,580
+معاضلة ولا تعمل .. مضطر تعمل اي check لأي شغلة ال
+
+380
+00:26:34,580 --> 00:26:37,540
+result is .. هاي التكامل .. حط شرط التكامل .. حط
+
+381
+00:26:37,540 --> 00:26:40,480
+يطرح .. حاجات خلصت الفيزية تقريبا .. بدك اعمل
+
+382
+00:26:40,480 --> 00:26:44,660
+رياضيها .. صح ولا لا .. دي q و تحت x .. في عندي
+
+383
+00:26:44,660 --> 00:26:48,460
+متغيرين .. x متغير و q متغير .. هيبدأ يجيب علاقة
+
+384
+00:26:48,460 --> 00:26:52,010
+بينهم .. طبعا اتعلمنا lambdaبرضه سهل انا بعملها
+
+385
+00:26:52,010 --> 00:26:56,030
+سهل لأ using the relation between dq and dx i.e.
+
+386
+00:26:56,150 --> 00:26:59,470
+dq بيسوي lambda في dx أخدتوها ولا ما أخدناهاش؟
+
+387
+00:26:59,470 --> 00:27:08,730
+أخدناها سابقا مقلوفة ان طب حط اذا ك أيه صارت طيب
+
+388
+00:27:08,730 --> 00:27:13,410
+انا لسه ماعملتاش هنا هدا هي صارت بدل ال dq حطت
+
+389
+00:27:13,410 --> 00:27:17,010
+lambda dx شوف من صفر اللي قيلها دي انا اعملها هنا
+
+390
+00:27:18,630 --> 00:27:22,570
+شوفوا هذه العنصر هو قاعد بتحرك، هيك بيغطي كل الرد
+
+391
+00:27:22,570 --> 00:27:27,890
+ولا لأ، هذه العناصر هي الممكنة، من البداية لنهاية،
+
+392
+00:27:27,890 --> 00:27:31,050
+طبعا انت تصلوا لو هو بتحرك، X تبعته، مش بتمشي
+
+393
+00:27:31,050 --> 00:27:35,870
+معاه، إيش أصغر قيمة ل X؟ و أكبر قيمة؟ وهذه حدود
+
+394
+00:27:35,870 --> 00:27:39,820
+التكاملو هذه هي حدود التكامل شباب واضح حدود
+
+395
+00:27:39,820 --> 00:27:43,600
+التكامل كيف بنجيبها؟ أنا قاعد أجمع عناصر لشغل أنا
+
+396
+00:27:43,600 --> 00:27:49,180
+عرفها محدودة من أول رد لآخر رد من أول wire لآخر
+
+397
+00:27:49,180 --> 00:27:54,690
+wire من أول wire طبعا المتغير اللي عندي شوه Xبتطلع
+
+398
+00:27:54,690 --> 00:27:59,230
+العنصر هذا هو بيمشي X تبعته من وين لوين بتتغير
+
+399
+00:27:59,230 --> 00:28:03,370
+بقول بتتغير من Zero لحد ال L من Zero لحد ال L
+
+400
+00:28:03,370 --> 00:28:07,710
+طلعتها من Zero لحد ال L خلصت هيكل فيها 100% الشغل
+
+401
+00:28:07,710 --> 00:28:12,630
+بعد كده ال calculus هذا سهل في جلدة كتب ال
+
+402
+00:28:12,630 --> 00:28:17,270
+calculus هذا تكامل مشهور في جلدة في جلدة كتب ال
+
+403
+00:28:17,270 --> 00:28:19,850
+calculus كلها اما في البداية او في النهاية بحطوا
+
+404
+00:28:19,850 --> 00:28:25,500
+تكاملات مشهورة جدا هذا حقوم منهمهذا بيكون منهم،
+
+405
+00:28:25,500 --> 00:28:28,940
+تمام؟ زي ما قلتلكم احنا بنحاسس مش كيف يجي التكامل،
+
+406
+00:28:28,940 --> 00:28:35,160
+لكن هذا مشهور بتلعلن بهذا الشكل، بتجيبوه، أبعطه
+
+407
+00:28:35,160 --> 00:28:37,940
+بالامتحان، ما بقولك أنا في جدي في كتاب ال calculus
+
+408
+00:28:37,940 --> 00:28:41,600
+عشان أقولك ما تحفظهوش، هي إن مانديكي في كل كتاب
+
+409
+00:28:41,600 --> 00:28:44,620
+calculus في الجد ده بحطه بعض التكاملات، تمام؟ وهذا
+
+410
+00:28:44,620 --> 00:28:48,890
+منهمطبعا انا بس بجرد حاجة بتتكامل عوارق من صفر
+
+411
+00:28:48,890 --> 00:28:54,290
+اللي قيل وطلع بهذا الشكل طبعا من جرد شغل انه لمضى
+
+412
+00:28:54,290 --> 00:28:57,250
+بالساعة Q على L وطلع الجواب المش مهم ان انا عندي
+
+413
+00:28:57,250 --> 00:29:01,190
+جواب المهم الطريقة اللي اتعاملت معها أخدت عنصر
+
+414
+00:29:01,190 --> 00:29:06,190
+جيبت جهده للعنصر وكملت وحدود التكامل بدي أفهمها
+
+415
+00:29:06,190 --> 00:29:08,950
+بشوف المتغير بشوف العنصر من وين بديه يبدأ ومن وين
+
+416
+00:29:08,950 --> 00:29:12,350
+بديه يخلص و هذا المتغير ايش بديه يصير اول قيمة له
+
+417
+00:29:12,350 --> 00:29:20,440
+واخر قيمة له تمامهذه معروفة كمان مثال بيقول ال
+
+418
+00:29:20,440 --> 00:29:25,440
+ring اخدنا جبه كده ولا لأ اخدنا برضه مشهور well
+
+419
+00:29:25,440 --> 00:29:28,970
+knownof radius capital R has a uniform charge
+
+420
+00:29:28,970 --> 00:29:33,950
+distribution of magnitude capital Q.Calculate the
+
+421
+00:29:33,950 --> 00:29:37,710
+electric potential along the axis of the ring at a
+
+422
+00:29:37,710 --> 00:29:40,950
+point P lying a distance d from the center of the
+
+423
+00:29:40,950 --> 00:29:41,090
+ring.
+
+424
+00:29:53,630 --> 00:29:57,810
+again we divide the wire into small elements each
+
+425
+00:29:57,810 --> 00:30:00,290
+of which execute شوف انا سميت wire هنا ماهو wire
+
+426
+00:30:00,290 --> 00:30:06,250
+بفمتني صح ولا لأ ماهو wire هاي عنصري شفتهه الأحمر
+
+427
+00:30:06,250 --> 00:30:12,970
+الغامق تمه بعد ما جبت العنصر بدي اجيب DV له DV
+
+428
+00:30:12,970 --> 00:30:17,790
+عشان اجيب DV بدي هذه المسافة صح ولا لأ اتبع غرار
+
+429
+00:30:18,850 --> 00:30:21,050
+Each element can be considered as a point of
+
+430
+00:30:21,050 --> 00:30:24,590
+charge, صحيح؟ So, the electric potential dV due to
+
+431
+00:30:24,590 --> 00:30:30,730
+one of these elements at B is Kdq على R صحيح؟
+
+432
+00:30:30,730 --> 00:30:35,110
+مكرر، خطوات مكررة، طب R، تقدر تجيب قيمتها R برضه
+
+433
+00:30:35,110 --> 00:30:38,990
+في الcourse، بيسوي جزء التربيع إلى R² plus D²،
+
+434
+00:30:38,990 --> 00:30:43,930
+صحيح ولا لأ؟ و هذا ايه؟ إيش الخطوة بعدها؟ كامل
+
+435
+00:30:44,540 --> 00:30:49,300
+ولمّات كامر طبعا كل ثابت بطلع برا يقول دي مثل هذه
+
+436
+00:30:49,300 --> 00:30:54,560
+طبعا على المقام شباب ثابت
+
+437
+00:30:54,560 --> 00:31:01,080
+ايش بتردي هو التكامل دي Q ايش تكاملها؟ شوفوا مثل
+
+438
+00:31:01,080 --> 00:31:04,720
+هذا السؤال الصغير بيقول integrating with all
+
+439
+00:31:04,720 --> 00:31:10,960
+constants are taken out of the integral we get
+
+440
+00:31:13,530 --> 00:31:18,550
+طبعا احنا نعملش .. طبعا مافيش عندي انا اي مشكلة هي
+
+441
+00:31:18,550 --> 00:31:22,750
+العناصر عشان اعرف انه احنا عصرنا .. اكامل بالظبط
+
+442
+00:31:22,750 --> 00:31:25,650
+زي هي تصير الشباب التكامل انا بكامل و كإن انا بجمع
+
+443
+00:31:25,650 --> 00:31:28,770
+جميع العناصر هذه هي معناه التكامل بجمع جميع
+
+444
+00:31:28,770 --> 00:31:33,350
+العناصر هذي الطول ماهي لاش هذي دي بتتغير و قبط ال
+
+445
+00:31:33,350 --> 00:31:38,420
+R يعني هذي ثابت صحإذا ما حكم، مظبوط ولا لأ؟ حدثها
+
+446
+00:31:38,420 --> 00:31:42,240
+بالصح طول ما هي ماشية لا أرض غيرت ولا دي اتغيرت
+
+447
+00:31:42,240 --> 00:31:45,760
+لإن دي بلقت بين مقاطين ثابتتين أصلا و العنصر و هو
+
+448
+00:31:45,760 --> 00:31:49,500
+ماشي لا اتغير الدي ولا اتغير نص القطر وبالتالي انا
+
+449
+00:31:49,500 --> 00:31:53,800
+كل فرق تطلعك برا فخلينا نعمل هال .. طبعا احنا ممكن
+
+450
+00:31:53,800 --> 00:31:56,450
+نقول مسافر لكاتب EQ، ذاكرين؟وإن لو بدنا نشغل
+
+451
+00:31:56,450 --> 00:31:58,690
+Calculus نقول من Zero لCapital Q لو بدنا نشغل
+
+452
+00:31:58,690 --> 00:32:01,990
+Calculus نقول DQ ماهي Capital Q بس هنا عشان واحد
+
+453
+00:32:01,990 --> 00:32:05,150
+طبحها ويقول خليها تكون حلوة يعنى مش أكتر عامة لو
+
+454
+00:32:05,150 --> 00:32:08,350
+أنا ماحطتش من Zero لCapital Q ويتكامل DQ بالساوية
+
+455
+00:32:08,350 --> 00:32:15,610
+Capital Q صح لأن ال Total Q هي Capital Q تمام هذه
+
+456
+00:32:15,610 --> 00:32:18,590
+كلها هي Q تمام
+
+457
+00:32:24,520 --> 00:32:28,620
+طبعا المرة دي كان المجال عند ال center تبع ال ring
+
+458
+00:32:28,620 --> 00:32:33,200
+كده؟ Zero طب هل يجيوا عند ال center هذي تطلع Zero؟
+
+459
+00:32:33,200 --> 00:32:39,520
+ماتطلعش، اتطلع حد يسوي سفينة و طلعت هيك؟ هذي بتشبه
+
+460
+00:32:39,520 --> 00:32:45,260
+ال point بيقولي هذي و كأنها ال ring صارت نقطة و
+
+461
+00:32:45,260 --> 00:32:50,070
+صارت نقطة وين على ال centerصح ساعة الريم كلها هو
+
+462
+00:32:50,070 --> 00:32:54,450
+كده في ال center تمام المهم بتيجي عندى او خلينا
+
+463
+00:32:54,450 --> 00:32:56,870
+نلعب معاكة تالية خلينا نرجحها نريكم كيف جت هذه
+
+464
+00:32:56,870 --> 00:33:03,330
+تلعب بيقول يهو انت مش هادي عدة عناصر لو اعتبرتهم
+
+465
+00:33:03,330 --> 00:33:08,010
+مية تمام ويجيب جهد بيقول الجهد بالثاوية كيه كيه
+
+466
+00:33:08,010 --> 00:33:12,300
+واحد ع الار واحد كداش ع الار واحد شبابانت النقطة
+
+467
+00:33:12,300 --> 00:33:15,240
+عندك ع ال center هجيت النقطة ع ال center أخدت أنصر
+
+468
+00:33:15,240 --> 00:33:22,580
+جدش البعد بين أنصر و ال center capital R زاد KQ2
+
+469
+00:33:22,580 --> 00:33:30,560
+يعني انت بتقول V بتساوي KQ1 على capital R زاد Q2
+
+470
+00:33:30,560 --> 00:33:35,980
+على capital R زاد Q3 على capital R هكذا صح او لا؟
+
+471
+00:33:35,980 --> 00:33:39,720
+capital R طيب اطلع مرة طب Q1 و Q2 و Q3 مش كلها
+
+472
+00:33:39,720 --> 00:33:44,140
+capital Qهي اللى طلعت معايا تمام اذا الجواب كان
+
+473
+00:33:44,140 --> 00:33:54,720
+منطقي اصلا اللى انا حكيته طبيعي تمام كمان مثال a
+
+474
+00:33:54,720 --> 00:33:59,570
+disk of radius capital RA disk of radius capital R
+
+475
+00:33:59,570 --> 00:34:06,550
+has a uniform charge density sigma Calculate the
+
+476
+00:34:06,550 --> 00:34:09,950
+electric potential along the axis of the disk at a
+
+477
+00:34:09,950 --> 00:34:12,590
+point P lying a distance capital D from the center
+
+478
+00:34:12,590 --> 00:34:16,010
+of the disk كمان مرة يا شباب هذه نسقطرها capital R
+
+479
+00:34:16,010 --> 00:34:17,170
+وبدي الجود عند نقطة D
+
+480
+00:34:24,250 --> 00:34:27,390
+طيب جهد العوض لل revenge جبته توانا وياكم ولا لأ؟
+
+481
+00:34:27,390 --> 00:34:33,530
+جاهز .. هذا طبعا حكينا إله نسقط وإله سموك، نفس
+
+482
+00:34:33,530 --> 00:34:38,930
+القضيةfrom the results of the previous example انا
+
+483
+00:34:38,930 --> 00:34:43,450
+بدي DV DV هي جهد ال ring و جهد ال ring عملته بال
+
+484
+00:34:43,450 --> 00:34:48,930
+previous example فبدي اخدي جواب DV بتسوى K بدل Q
+
+485
+00:34:48,930 --> 00:34:54,570
+حط ال DQ و بدل A حطي اسمه R و هاي جواب تبعي هاي DV
+
+486
+00:34:54,570 --> 00:35:00,930
+بقول بعد كده كامل هل المقام ثابت؟ لألأن المقام فيه
+
+487
+00:35:00,930 --> 00:35:05,030
+small r وsmall r تابع للعنصر وكل عنصر نص قطر
+
+488
+00:35:05,030 --> 00:35:08,950
+ومختلف عن العنصر الآخر إذا المقام ثابت طيب بلاش
+
+489
+00:35:08,950 --> 00:35:14,450
+خلّي جوا كامل بقولي بعشرة كامل بدي علاقة بال DQR
+
+490
+00:35:14,450 --> 00:35:22,010
+سيجما ذاكرين مساحة ال ring لما جثتها بالمجث فردتها
+
+491
+00:35:23,460 --> 00:35:28,600
+DN by R طول في العرض الصمغ فDA بيساوي 2N by RDR
+
+492
+00:35:28,600 --> 00:35:32,180
+إذا برضه أخدتها شوف العملية كيف أصبح سهلة أنه أنا
+
+493
+00:35:32,180 --> 00:35:37,920
+مرض عليها قبل كده تمام؟ using the relation between
+
+494
+00:35:37,920 --> 00:35:46,100
+DQ and R IE DQ بيساوي Sigma DA هذا بيعرفها و DE
+
+495
+00:35:46,100 --> 00:35:50,640
+بيساوي 2N by RDR اللي توي حكيته عنها إذا أصلا عندي
+
+496
+00:35:50,640 --> 00:35:55,300
+طبعا من صفر لكبة ال R عارفينهالأن حدودها أنا
+
+497
+00:35:55,300 --> 00:36:00,060
+راسمها مش راسمها هنا شايفين ال ring هذي ring واحدة
+
+498
+00:36:00,060 --> 00:36:03,860
+عشان تكون ال ring تغطيهم كلها بتكون أصغر ring و
+
+499
+00:36:03,860 --> 00:36:07,680
+أكبر ring أول ring انتيجة نسختهها zero و أكبر ring
+
+500
+00:36:07,680 --> 00:36:11,000
+كبت ال R عشان كده الحدود التكامل طلعت معايا بهذا
+
+501
+00:36:11,000 --> 00:36:15,300
+الشكل طبعا هذا تكامل فيه السهل لأن هذي DU و هذي U
+
+502
+00:36:15,980 --> 00:36:20,880
+هذه DU وهذه U فببتابتين اعملها هيك و بجمحها تظهر
+
+503
+00:36:20,880 --> 00:36:24,940
+بهذا الشكل برضه جهار الإجابات مافيش عندي اي
+
+504
+00:36:24,940 --> 00:36:30,820
+إشكالية في SSR شباب اللي أمثلة تلاتة أمثلة مقررة
+
+505
+00:36:30,820 --> 00:36:36,210
+بس شوفتوا انتواطبعا سهلت عشان اتكررت لكن برضه ال
+
+506
+00:36:36,210 --> 00:36:39,590
+calculation تبعها سهل لأنها scalars ذاكرين انتوا
+
+507
+00:36:39,590 --> 00:36:42,530
+لما اشتغلنا ع ال ring و احنا بنجيب المجال اضطررنا
+
+508
+00:36:42,530 --> 00:36:45,650
+نعمل symmetry و ال y component تتغير و ال x
+
+509
+00:36:45,650 --> 00:36:49,090
+component ينحى فهذا كل الموال لزمنا مرة هذه
+
+510
+00:36:49,090 --> 00:36:53,970
+مالزمناش لأنه انا بتعامل مع scalars بقولي جيب عصر
+
+511
+00:36:53,970 --> 00:36:58,760
+جيب جهد العصر كامل بدون ما تعمل اشيعلى طول، إذاً
+
+512
+00:36:58,760 --> 00:37:04,420
+العملية كثير بتكون سهلة الآن الطريقة التانية
+
+513
+00:37:04,420 --> 00:37:09,300
+بيقولّي لو كان عندك الشكل صعب و اجهرت ال JPE
+
+514
+00:37:09,300 --> 00:37:12,200
+استخدم الطريقة التانية، شوف هو المثال يا شباب
+
+515
+00:37:12,200 --> 00:37:17,380
+بيقولّي I'm insulating solid sphere insulating
+
+516
+00:37:17,380 --> 00:37:21,420
+solid sphere طبعاً جوا الشحنات موجودة ولا مش
+
+517
+00:37:21,420 --> 00:37:24,920
+موجودة؟ لأنها insulating مش conductorالسفير
+
+518
+00:37:24,920 --> 00:37:26,340
+السليماني السليماني السليماني السليماني السليماني
+
+519
+00:37:26,340 --> 00:37:27,200
+السليماني السليماني السليماني السليماني السليماني
+
+520
+00:37:27,200 --> 00:37:27,620
+السليماني السليماني السليماني السليماني السليماني
+
+521
+00:37:27,620 --> 00:37:29,740
+السليماني السليماني السليماني السليماني السليماني
+
+522
+00:37:29,740 --> 00:37:31,000
+السليماني السليماني السليماني السليماني السليماني
+
+523
+00:37:31,000 --> 00:37:36,740
+السليماني السليماني السليماني السليماني السليماني
+
+524
+00:37:36,740 --> 00:37:40,100
+السليماني السليماني السليماني السليماني السليماني
+
+525
+00:37:40,100 --> 00:37:41,240
+السليماني السليماني السليماني السليماني السليماني
+
+526
+00:37:41,240 --> 00:37:48,000
+السليماني السليماني السليماني السليماني
+
+527
+00:37:54,250 --> 00:37:57,970
+طيب اخد عنصر جالي و الله بتورط لو خدت عنصر لأن ايش
+
+528
+00:37:57,970 --> 00:38:00,930
+عنصر هذا بدي تاخد عنصر اما في dimensions او لو
+
+529
+00:38:00,930 --> 00:38:04,850
+عنصر هيكون عندك disk الكورة عبارة عن عدة disks بس
+
+530
+00:38:04,850 --> 00:38:08,150
+كل disk أكبر من التاني بشوية صح ولا لأ عشان تجيب
+
+531
+00:38:08,150 --> 00:38:12,050
+كورة انت تجيب diskات صغيرة ثم تكبل تكبل تكبل لما
+
+532
+00:38:12,050 --> 00:38:16,590
+تصير عندك النص التحتاني بعدين تتعود تصغر diskات و
+
+533
+00:38:16,590 --> 00:38:21,370
+تجيبهم صح ولا لأ تصير عندك كورة فالعنصر تبع ال
+
+534
+00:38:21,370 --> 00:38:27,270
+sphere هو diskالـ Discriminator برضه غلب أنك تجيبه
+
+535
+00:38:27,270 --> 00:38:30,830
+و بعدين تكامل فخلّيني أحله بطريقة تانية قاللي هدف
+
+536
+00:38:30,830 --> 00:38:34,270
+من طبق أي قانون جوزه ولا لأ إذا أسهل أنك تجيب إيه
+
+537
+00:38:34,270 --> 00:38:38,230
+إذا بدي أحله بطريقة هذه شباب بقول هذه الاسفير
+
+538
+00:38:38,230 --> 00:38:44,090
+solution for outside the sphere we have هذه النقطة
+
+539
+00:38:44,090 --> 00:38:46,970
+إلى أن تلعب شباب أنا بدي أجيب جيب عند النقطة اللي
+
+540
+00:38:46,970 --> 00:38:50,450
+انتوا شايفينها اللي تبعد مسافها R قاللي ده تاخد
+
+541
+00:38:50,450 --> 00:38:55,350
+أنصر و تتغلب حالك استخدم هذا القانونمش هدا
+
+542
+00:38:55,350 --> 00:39:00,950
+القانون؟ ايه اللي جوا المتكامل؟ ايه اللي بدكيها؟
+
+543
+00:39:00,950 --> 00:39:05,210
+هل عنده نقطة؟
+
+544
+00:39:05,210 --> 00:39:10,750
+مش اتفقنا التكامل هو .. جماعة لما يقوللي تكامل من
+
+545
+00:39:10,750 --> 00:39:15,060
+هذه الحيطة لهذه الحيطة بدي اجمع من وين لوينيعني لو
+
+546
+00:39:15,060 --> 00:39:18,720
+بده هجتي كامل شدت المجال من الحيطة هذه للمجال هذه
+
+547
+00:39:18,720 --> 00:39:22,440
+ل الحيطة هذه اي مجال بده؟ بده كل المجال اللي جوا
+
+548
+00:39:22,440 --> 00:39:28,060
+صح و هو ماشي اش بجانب المجال بدهيا صح ولا لأ؟ زي
+
+549
+00:39:28,060 --> 00:39:31,660
+طب و احنا ماكننا نحرك العنصرطول ما هو ماشي بده
+
+550
+00:39:31,660 --> 00:39:35,820
+يحسب انا لقاه بده كامل من الحط هذى بالحط هذى بدي
+
+551
+00:39:35,820 --> 00:39:38,940
+المجال عنده نقطة هذى؟ لأ بدي المجال هنا و هنا و
+
+552
+00:39:38,940 --> 00:39:41,320
+هنا و هنا و هنا طب انا من هنا لين بكامل؟ اقول من
+
+553
+00:39:41,320 --> 00:39:45,480
+من النهاية لما تصل النقطة بيه لذا بدك المجال تبدأ
+
+554
+00:39:45,480 --> 00:39:50,680
+من من النهاية و تضلك ماشي لما تصلها المجال هذا
+
+555
+00:39:50,680 --> 00:39:55,290
+بدكيه؟ بلزمك؟ بلزمكاشطيب انت وانت من المنال
+
+556
+00:39:55,290 --> 00:39:58,110
+النهاية لما تصل هذه النقطة بتكون برا ولا ماتكونش
+
+557
+00:39:58,110 --> 00:40:01,550
+برا؟ بتكون برا، إذاً بدك E out ولا ماتكش E out؟ E
+
+558
+00:40:01,550 --> 00:40:06,410
+out اللي بيشتغل معاك، بدك E out تمى، طيب، من هنا
+
+559
+00:40:06,410 --> 00:40:09,470
+لهنا بدي، اه، هاي، اه، تمت من المنال النهاية تحت،
+
+560
+00:40:09,470 --> 00:40:12,850
+شباب، بدي أمشي من المنال النهاية طول ما فيه E هنا،
+
+561
+00:40:12,850 --> 00:40:17,150
+بدي أجمعه، هاي التكامل، شباب، عشان نصفي عنه ال
+
+562
+00:40:17,150 --> 00:40:19,710
+sense واضح، مش معناه التكامل، أنا بكامل E dot
+
+563
+00:40:19,710 --> 00:40:22,490
+الـDL، الشيئة إيه هذه، بقولي E طول ما أنت ماشي،
+
+564
+00:40:22,490 --> 00:40:27,160
+بيبقى E جمعهم،إيه مختلفة بيضعوها داخلها، إيه
+
+565
+00:40:27,160 --> 00:40:31,140
+بتشبهها ضعها اتخدهم مش مشكلة تمام إذا إيه بتديها
+
+566
+00:40:31,140 --> 00:40:34,900
+من هنا إلى هناك حلو بيقول but إيه here is the
+
+567
+00:40:34,900 --> 00:40:37,930
+electric field outside the sphereفي كل المنطقة
+
+568
+00:40:37,930 --> 00:40:42,110
+وانت ماشي مش ايه برا بتكون وانت ايه برا جبته نفس
+
+569
+00:40:42,110 --> 00:40:46,810
+المثال هذا قبل هيك جبته قولت او جد ايه outside the
+
+570
+00:40:46,810 --> 00:40:50,430
+sphere و جبته بسطر اذا مجيوب عندك او ممكن تقول ده
+
+571
+00:40:50,430 --> 00:40:55,310
+يعطيك yeah جاهز a given by هيها جبتها من المثال
+
+572
+00:40:55,310 --> 00:40:59,810
+السابق شباب من المثال في قرون جاوس ال q على اربع
+
+573
+00:40:59,810 --> 00:41:03,730
+با يابسون وارتبيع جبتها انا وياك قبل هيك مجيوبة
+
+574
+00:41:04,370 --> 00:41:07,110
+هكذا احنا ايام اجيبناها عند النقطة هادي طب عند
+
+575
+00:41:07,110 --> 00:41:09,930
+النقطة هادي ماهي نفسها بس اركبريه عند النقطة هادي
+
+576
+00:41:09,930 --> 00:41:13,130
+ماهي نفسها عند النقطة هادي هي نفسها اذا هادي ايه
+
+577
+00:41:13,130 --> 00:41:17,730
+اللي هان بتنفع لأي نقطة من ها اللي هان ولا بتنفعش
+
+578
+00:41:17,730 --> 00:41:21,430
+تنفع على اعتبار ان الارهادي ماهي متغيرة طول ما هي
+
+579
+00:41:21,430 --> 00:41:24,790
+تكبر تكبر و تصغر تصغر بقى مش فلت ولا مافلتش المهم
+
+580
+00:41:24,790 --> 00:41:30,630
+واضح؟إذا ال E اللي بدك إيها هيها طبعا مش ثابتة اه
+
+581
+00:41:30,630 --> 00:41:34,750
+مش ثابتة لإن هيها المتغيرة تتغير معاك لكن هي E
+
+582
+00:41:34,750 --> 00:41:43,250
+outside حلو جالي إذا حطها حطناها طبعا ليش فيه bust
+
+583
+00:41:45,890 --> 00:41:50,730
+ذاكرين a.i وقلنا ax وdx.r unit vector بصير dr
+
+584
+00:41:50,730 --> 00:41:55,570
+عملناها المرة هذيك لسه وانا مش طاق فهذه dr اوف dr
+
+585
+00:41:55,570 --> 00:41:59,270
+على r تربيع في حد ماعرفش كاملها بسوى سالب واحد على
+
+586
+00:41:59,270 --> 00:42:05,110
+r سالب مع السالب راحت صارت هيك واحد على r رقص واحد
+
+587
+00:42:05,110 --> 00:42:09,430
+عمله نهاية واحد و واحد على r هاي بطلع الجواب هاي
+
+588
+00:42:09,430 --> 00:42:14,410
+اول قانون زي مش بيه القانون شوف خليني انا اجرب لك
+
+589
+00:42:14,410 --> 00:42:18,590
+ان هو مش بالقانون او لاذاك القوة الأرضية لما انا
+
+590
+00:42:18,590 --> 00:42:23,230
+اقول القوة بين القمر والقوة الأرضية بالساوي
+
+591
+00:42:23,230 --> 00:42:27,590
+capital G mass for earth mass for moon على مربع
+
+592
+00:42:27,590 --> 00:42:31,080
+المسافة اللي بينهم من وين لوين بيجيسوا المسافات؟من
+
+593
+00:42:31,080 --> 00:42:33,740
+center ل center اذا المعنى ان الكورة لو كانت
+
+594
+00:42:33,740 --> 00:42:36,300
+homogeneous اعتبر ان الكورة homogeneous تعتبرها
+
+595
+00:42:36,300 --> 00:42:39,420
+وكانها جسيم صغير محتوى في ال center هجأت هذه
+
+596
+00:42:39,420 --> 00:42:42,100
+الكورة الكبيرة الحمرة وكانها point of charge محتوى
+
+597
+00:42:42,100 --> 00:42:45,260
+في ال center تطلع كيكيه على ارض احسن وكانها point
+
+598
+00:42:45,260 --> 00:42:49,350
+of charge اظن ان انا حاطط هذه الشغلاتnot that this
+
+599
+00:42:49,350 --> 00:42:53,510
+result is identical to that of a pointed charge
+
+600
+00:42:53,510 --> 00:42:57,550
+this means that the problem can be treated as the
+
+601
+00:42:57,550 --> 00:43:01,570
+entire charge وكأنه كل الشحنات is or was
+
+602
+00:43:01,570 --> 00:43:04,130
+concentrated at the center of the sphere تمام هذه
+
+603
+00:43:04,130 --> 00:43:08,570
+معروفة مش مشكلة بيشوف ال B المشكلة بيه؟ وإيش بده
+
+604
+00:43:08,570 --> 00:43:12,370
+في بيه؟ for inside region هاي برضه التكامل وهاي ..
+
+605
+00:43:12,370 --> 00:43:15,790
+طبعا التكامل ماتغيرش يا باب، هاي قانوني أنا بحط في
+
+606
+00:43:15,790 --> 00:43:20,200
+V inمن منا نهاية لنقطة اخرى بس النقطة هدوم يكون
+
+607
+00:43:20,200 --> 00:43:26,340
+جوا حلو يرسم هي النقطة شباب هي النقطة هي اللي انا
+
+608
+00:43:26,340 --> 00:43:30,840
+بدي المجال ان هو من منا نهاية للنقطة في عندي
+
+609
+00:43:30,840 --> 00:43:35,220
+شغلتين الان من منا نهاية لهنا في مجال و من هنا
+
+610
+00:43:35,220 --> 00:43:39,500
+لهنا في مجال مختلفصح ولا لأ؟ بصحيلي أحطهم مرة
+
+611
+00:43:39,500 --> 00:43:42,880
+واحدة بيقولي بصحيلي cash إيه يسوي؟ بيقولي but in
+
+612
+00:43:42,880 --> 00:43:47,740
+this case انتبهوا سؤال بتكرر مرات و بيدلوا حدين
+
+613
+00:43:47,740 --> 00:43:52,420
+بيه إذا فاهم التكامل مش فاهم كامل فاهمش مع التكامل
+
+614
+00:43:52,420 --> 00:43:55,700
+تمام؟ but in this case the range from infinity to
+
+615
+00:43:55,700 --> 00:44:00,520
+the point in question includes two regions with
+
+616
+00:44:00,520 --> 00:44:04,200
+different electric fields طلع جباب the outside
+
+617
+00:44:04,200 --> 00:44:08,570
+region هاي من هال لهانهذه المنطقة كلها outside ولا
+
+618
+00:44:08,570 --> 00:44:13,610
+مش outside وصل النقطة لسه موصلش مخلصتش يصير
+
+619
+00:44:13,610 --> 00:44:18,730
+تكاملين غصب عني the outside region which is
+
+620
+00:44:18,730 --> 00:44:22,830
+extended من وين حدودها من منا نهاية بتخلص على الحد
+
+621
+00:44:22,830 --> 00:44:30,470
+صح لcapital R طيب والتانية من هالهالوانا ماشي هيك
+
+622
+00:44:30,470 --> 00:44:34,050
+بدي اللي برا او اللي جوا؟ بدي اللي جوا وانا ماشي
+
+623
+00:44:34,050 --> 00:44:37,990
+من هنا لهنا اي مجال بدي اللي جوا صاروا انا بدي
+
+624
+00:44:37,990 --> 00:44:42,530
+اجمع مرة اللي برا ومرة اللي جوا and the inside
+
+625
+00:44:42,530 --> 00:44:45,110
+region which extended from capital R to small r
+
+626
+00:44:45,110 --> 00:44:48,530
+ايش معناته يا شباب؟ بيقولوا therefore we have to
+
+627
+00:44:48,530 --> 00:44:52,610
+divide the integration into two parts هدا هي روح
+
+628
+00:44:52,610 --> 00:44:58,230
+اتجسمت كيف يعني؟ خليني اقولكم التالي نفترض ان انا
+
+629
+00:44:58,230 --> 00:45:02,950
+بدي اجمعخلّيني أقول شغلات موجودة في هذه الغرفة
+
+630
+00:45:02,950 --> 00:45:10,990
+تمام هنا في شماء و هنا في خياط و هنا في تفاح يجيب
+
+631
+00:45:10,990 --> 00:45:13,930
+لي إيجمع بفعل من أول حيطة لآخر الحيطة و بيقول
+
+632
+00:45:13,930 --> 00:45:18,830
+بيسوي خمسميت و أجف بعد كده خمسميت إيش؟ بتعرف تقول
+
+633
+00:45:18,830 --> 00:45:23,050
+خمسميت إيش؟ بتعرفش ليش ماعرفتش؟ لأنه الأنواع
+
+634
+00:45:23,050 --> 00:45:26,690
+مختلفة صح؟ إيش تسوي؟ بيقول إيجمع من هالهال بس
+
+635
+00:45:26,690 --> 00:45:31,950
+بتجمع هدولاللي بفتخ لحاله و اجمع من هنا لهنا دي
+
+636
+00:45:31,950 --> 00:45:34,770
+معاك الخيار لحاله و اجمع من هنا لهنا دي معاك
+
+637
+00:45:34,770 --> 00:45:38,430
+التفاح لحاله ساعة بتقول عندي خمسين تفاحة و تلاتين
+
+638
+00:45:38,430 --> 00:45:43,150
+شمامة و تلاتين خيارة شمام تمام؟ اذا انا اكتسب
+
+639
+00:45:43,150 --> 00:45:47,810
+الطرقة جسم التكامل لما يكون المجموعة مش نفس الشكل
+
+640
+00:45:47,810 --> 00:45:50,910
+صح ولا لأ؟ لما تقدرش تجمع من اول غرفة لاخر و اول
+
+641
+00:45:50,910 --> 00:45:53,470
+غرفة تجمع تجمع تجمع تطلع عندك تلاتمية و بعدين
+
+642
+00:45:53,470 --> 00:45:56,970
+تعرفش تحط التمييز تلاتمية ايش؟ تعرفش هنا نفس
+
+643
+00:45:56,970 --> 00:46:03,180
+العملية انت بتجمعللنقطة هذه طب يالا اجمع دي ب E طب
+
+644
+00:46:03,180 --> 00:46:06,220
+من هنا لها في E و من هنا لها في E مختلف ايش تاخد E
+
+645
+00:46:06,220 --> 00:46:08,980
+تاخد E البرا ولا اللي جوا اذا خدت البرا اللي جوا
+
+646
+00:46:08,980 --> 00:46:13,400
+زعل وإذا خدت اللي جوا زعل اللي برا زعل كتير لأن
+
+647
+00:46:13,400 --> 00:46:17,500
+حصه كبير له صح ولا لأ اذا معناته عشان اتحل هذا
+
+648
+00:46:17,500 --> 00:46:22,720
+الإشكال واحد ياخد حصته اللي برا دي حصته منطقة اللي
+
+649
+00:46:22,720 --> 00:46:26,660
+برا من هنا إيها وين بتخلص البرا لكابة العار و اللي
+
+650
+00:46:26,660 --> 00:46:29,360
+جوا ياخد حصتهبتبدأ من كامة الأعلى، بتنتهى ده
+
+651
+00:46:29,360 --> 00:46:33,600
+النقطة ولا لأ؟ إذا لما يختلف الجنس، بدي أجسم
+
+652
+00:46:33,600 --> 00:46:35,960
+التكامل غصب العالم، لإن انا هجيت .. انا هو هتجيلك
+
+653
+00:46:35,960 --> 00:46:38,240
+بصورة إجمالية، انتوا أخدتوا في الكالكولاس، شوفوا
+
+654
+00:46:38,240 --> 00:46:42,460
+إيش معاناة الكالكولاس، لما أقولك من A لB، بالساوة
+
+655
+00:46:42,460 --> 00:46:48,780
+من A لC زائد من C لB، خدتواها هذي؟ مش هعطيوا الـC
+
+656
+00:46:48,780 --> 00:46:52,430
+لكل جوة ولا لأ؟ بينهموانا لما أجمع من الحياطة هذه
+
+657
+00:46:52,430 --> 00:46:55,690
+للحياطة هذه بينفع أجمع من هالهان و أتعب و أقول
+
+658
+00:46:55,690 --> 00:46:59,190
+بترتاح و بعدين أسانف من هالهان ولا لأ اه يعني لو
+
+659
+00:46:59,190 --> 00:47:02,910
+واحد يجمع .. بقولك اجمع خمسين شغلة بقولك اجمع أول
+
+660
+00:47:02,910 --> 00:47:04,870
+خمسة و عشرين و بعدين أجمع خمسة و عشرين و بعدين
+
+661
+00:47:04,870 --> 00:47:07,870
+أجمعهم مع بعض لذا لما بدي أجسم اذا جمع ما هو
+
+662
+00:47:07,870 --> 00:47:10,990
+تهاروض ياخدوا كيف يجسموا الجامع بينفع لو واحد يجسم
+
+663
+00:47:10,990 --> 00:47:14,750
+و التكامل بتجسم هو نفسه ما هو الجامع بدي مديم
+
+664
+00:47:14,750 --> 00:47:19,790
+المنطقة من أول لآخرهابتلفع في كل الأحوال لكن
+
+665
+00:47:19,790 --> 00:47:23,990
+ضرورية إذا كان المجموع مختلف لو المجموع مش مختلف،
+
+666
+00:47:23,990 --> 00:47:27,290
+لن تتعامل في النتيجة، لكن إذا المجموع مختلف، لازم
+
+667
+00:47:27,290 --> 00:47:30,670
+تتجسم، بيقول هذا بتتكامل و بتتعامل معاه لحال، و
+
+668
+00:47:30,670 --> 00:47:34,390
+هذا بتتكامل معاه لحال، و بيشتغل على هذا الأساس،
+
+669
+00:47:34,390 --> 00:47:37,030
+الأساس أنا الآن، طب هذا بتعرفه، الله الله، طوي
+
+670
+00:47:37,030 --> 00:47:40,630
+عرفته، مش طوية أو جبناء، طب هذا بتعرفه، بيقول
+
+671
+00:47:40,630 --> 00:47:44,510
+بشحته، في المثال حلته، لو هذا conductor جديشها، دي
+
+672
+00:47:44,510 --> 00:47:50,480
+بتكون؟بتكون Zero شباب، لو كانكن بكتر هادي Zero،
+
+673
+00:47:50,480 --> 00:47:54,790
+بروح فجوري بيستبقى، بتطلع بيبقى السخابةشوفوا ايش
+
+674
+00:47:54,790 --> 00:47:58,830
+بتفرض لو كان conductor شباب انه انا بديت التكامل
+
+675
+00:47:58,830 --> 00:48:04,690
+من مال نهاية لنفط R ايه ذات deal اشتغلت اشتغلت
+
+676
+00:48:04,690 --> 00:48:07,690
+ساعة لما ينهي وركبت ال R وها دي لو واحد شوفوا من
+
+677
+00:48:07,690 --> 00:48:10,010
+انها ركبت ال R بطلت من اسمه ال R مع ان هو اصل
+
+678
+00:48:10,010 --> 00:48:13,150
+قانون اسمه ال R ليش؟ لأنه بيقول إن النتيجة التانية
+
+679
+00:48:13,150 --> 00:48:16,030
+Zero هذي اذا كان conductor شباب لكن انا السؤال مش
+
+680
+00:48:16,030 --> 00:48:19,030
+conductor مش conductor من هذا حصلته في مثال سابق
+
+681
+00:48:19,030 --> 00:48:21,750
+عشان كده هو جابي المثال هذا بقول يجلب صفحتين
+
+682
+00:48:21,750 --> 00:48:26,910
+فتلاقي الإجابات هذه موجودة تمامبيقول لي the
+
+683
+00:48:26,910 --> 00:48:30,110
+electric field outside and inside the sphere given
+
+684
+00:48:30,110 --> 00:48:34,910
+by هاي E out طلعتها وهاي E in برضه شحتها من المثال
+
+685
+00:48:34,910 --> 00:48:38,670
+السابق طلعتها انا وياكم طلعناها احنا وياكم وقال لي
+
+686
+00:48:38,670 --> 00:48:42,330
+خلاص اشتغل هاجي اتعود طلعت هيك
+
+687
+00:48:44,770 --> 00:48:48,670
+الـDL لدُبط الاردنك في كل حالة تتحول لDR مظبوط ولا
+
+688
+00:48:48,670 --> 00:48:52,010
+لأ فبالتالة بتطلع عندك fake النتيجة وطبعا كامل
+
+689
+00:48:52,010 --> 00:48:57,450
+عادي كملته وطلعته بهذا الشكل برضه جواب هذا مش أكتر
+
+690
+00:48:57,450 --> 00:49:02,230
+VN بتسوي هيك وبتتهيأ المثال Note that the two
+
+691
+00:49:02,230 --> 00:49:06,790
+expressions are بيقوللي الجهود
+
+692
+00:49:09,360 --> 00:49:15,100
+برة طلعته فيه بيساوي KQ على R اللي قلتلي بيشبه
+
+693
+00:49:15,100 --> 00:49:20,860
+القانون و ده هو و جوا هيه شباب صح ولا لأ و هاي
+
+694
+00:49:20,860 --> 00:49:26,860
+الاسفير هاي جوا و هاي برا طيب هذه النقطة بنفع تكون
+
+695
+00:49:26,860 --> 00:49:31,820
+هنا؟ بنفع جوا انا مش جوا طيب وهذه بنفع تكون هنا؟
+
+696
+00:49:31,820 --> 00:49:37,040
+بنفع برضه برا طيب صاروا جران صاروا جران قدش بعد
+
+697
+00:49:37,040 --> 00:49:42,950
+هذه؟نص الخطر طب ما قلتيش بعض هذه نص الخطر طب تساوم
+
+698
+00:49:42,950 --> 00:49:46,190
+منطقي ان يكونوا بيساوموا بعض و لا بيساوموش بعض لان
+
+699
+00:49:46,190 --> 00:49:51,130
+هم جيران هو نقطة واحدة قاللي احسب قاللي هادي لو
+
+700
+00:49:51,130 --> 00:49:53,770
+كانت small r بيساومي كبت الارض سيه النقطة اللى جوا
+
+701
+00:49:53,770 --> 00:50:00,930
+صارت على السطح ولا لا؟ خُطها هذه صارت واحد تلاتة
+
+702
+00:50:00,930 --> 00:50:07,010
+نقص واحد اتنين اتنين صارت اربعة نجي القانون هو
+
+703
+00:50:07,010 --> 00:50:11,160
+نفسه اللى براهو نفسه اللي برا، إذا صح، يعني اللي
+
+704
+00:50:11,160 --> 00:50:15,880
+جوا بتنقل إلى اللي برا لما تصير قريب على السطح،
+
+705
+00:50:15,880 --> 00:50:19,560
+لما تنتين تصيروا جيران، فبقول you note that the
+
+706
+00:50:19,560 --> 00:50:22,580
+two expressions D1 and D2 give the same results at
+
+707
+00:50:22,580 --> 00:50:26,580
+A بساوية كبيرة ال R at the surface which is هذا
+
+708
+00:50:26,580 --> 00:50:29,840
+الجوابهذه على السطح يعني محقق انه واحد يقول يا
+
+709
+00:50:29,840 --> 00:50:35,720
+عزيزي جهد على سطح اي كرة بقول KQ على capital R و
+
+710
+00:50:35,720 --> 00:50:38,080
+النقطة بتكون على السطح طب هو شغلها منطقي لان
+
+711
+00:50:38,080 --> 00:50:40,900
+النقطتين صاروا نقطة واحدة صاروا جيران كتير و
+
+712
+00:50:40,900 --> 00:50:43,780
+بالتالي جهد هادي ولا جهد هادي واحد و طلع الجواب
+
+713
+00:50:43,780 --> 00:50:49,460
+اكيد صح في اي استفسار شبابي الآن؟هذا انا عندي
+
+714
+00:50:49,460 --> 00:50:54,800
+طريقتين احسب الجهد عند نقطة اما العناصر اجسم عنصر
+
+715
+00:50:54,800 --> 00:50:58,900
+اجيب جهد العنصر اكامل او اجيب المجال واستخدم
+
+716
+00:50:58,900 --> 00:51:02,340
+القانون الاصلي ان الجهد بيساوي التكامل from
+
+717
+00:51:02,340 --> 00:51:06,720
+infinity to the point E dot DL وهذا متاتش إلى اذا
+
+718
+00:51:06,720 --> 00:51:11,340
+كان E سهل اجيبها او اعطانيها E وإلا بعد كده بيصير
+
+719
+00:51:11,340 --> 00:51:15,000
+مشكلة ان اجيب E و بعدين اكاملها بيصير عندي معضلة
+
+720
+00:51:15,000 --> 00:51:17,300
+كبيرة تمام
+
+721
+00:51:20,050 --> 00:51:24,610
+الان مر عليكم ال conductor الشباب مش أقوله خواص ال
+
+722
+00:51:24,610 --> 00:51:29,410
+conductor ذاكين خواص ال conductor الشباب مين
+
+723
+00:51:29,410 --> 00:51:36,370
+يذاكرني ايامهم هم تلاتة تلات خواص أول حاجة الشحن
+
+724
+00:51:36,370 --> 00:51:39,870
+أين بتكون أساطر خارجي اللي بتنتج عنها جيبليش
+
+725
+00:51:39,870 --> 00:51:44,670
+المجال جوا Zero التأثر مجال just outside كيف بتكون
+
+726
+00:51:44,670 --> 00:51:49,960
+اتجاههعمودي وقدش قيمته سيجما على ايبسون نوت هدول
+
+727
+00:51:49,960 --> 00:51:53,560
+التلات خواص هدول تلات خواص اشتقنوهم مع بعض for any
+
+728
+00:51:53,560 --> 00:51:58,620
+conductor طيب بكمل الآن بقول ليه ايش كيف اخبر
+
+729
+00:51:58,620 --> 00:52:02,340
+الجهود على ال conductors بقول in the previous
+
+730
+00:52:02,340 --> 00:52:05,580
+chapter الشهرة للماضي we have mentioned some
+
+731
+00:52:05,580 --> 00:52:08,180
+properties of a conductor in electrostatic
+
+732
+00:52:08,180 --> 00:52:11,600
+equilibrium with the help of Gauss's law some of
+
+733
+00:52:11,600 --> 00:52:12,640
+these properties are
+
+734
+00:52:15,590 --> 00:52:17,570
+The electric field inside the conductor is zero.
+
+735
+00:52:19,290 --> 00:52:22,510
+The electric field on the surface of the conductor
+
+736
+00:52:22,510 --> 00:52:26,110
+is perpendicular to the surface. صح؟ طبعا الأولى
+
+737
+00:52:26,110 --> 00:52:28,630
+ما هي شحنات على السطح موجودة جابت التانية. بقولي
+
+738
+00:52:28,630 --> 00:52:32,310
+now. عند القانون هذا ماعرفه ولا مش عارفه.
+
+739
+00:52:38,600 --> 00:52:43,680
+طيب بقول الان انت عندك خاصيتين و نيجي نشتغل بقول
+
+740
+00:52:43,680 --> 00:52:46,660
+if the initial and the final points lie inside a
+
+741
+00:52:46,660 --> 00:52:52,760
+conductor التاني جوا هاي conductor شبه هذا و أنا
+
+742
+00:52:52,760 --> 00:52:56,220
+عندي هاي ال final و هاي ال initial هاي initial و
+
+743
+00:52:56,220 --> 00:53:00,820
+هاي final هاي اللي بدي أطبقها القانون بدي أجمع من
+
+744
+00:53:00,820 --> 00:53:08,220
+initial ل final اي electric field بدي من ولا وينمن
+
+745
+00:53:08,220 --> 00:53:14,440
+هال لهال صح؟ من هال لهال فيه مجال؟ مافيش مجال زيرو
+
+746
+00:53:15,700 --> 00:53:19,840
+مازالها zero يعني هادي بيساوي هادي هاي معناه zero
+
+747
+00:53:19,840 --> 00:53:23,900
+صحيح ولا لأ؟ بيقوللي if the initial and the final
+
+748
+00:53:23,900 --> 00:53:28,040
+points lie inside a conductor and using the first
+
+749
+00:53:28,040 --> 00:53:31,780
+property اللي بتقول there is no electric field
+
+750
+00:53:31,780 --> 00:53:35,280
+inside a conductor we conclude that the electric
+
+751
+00:53:35,280 --> 00:53:38,160
+potential is constant ليش constant؟ يعني هادي
+
+752
+00:53:38,160 --> 00:53:41,650
+بيبقى بس هادي بيستوى زفر يعني هادي بيستوى هاديو
+
+753
+00:53:41,650 --> 00:53:45,470
+هتقول اي نقطين جوا السطح جوا ال conductor اي نقطين
+
+754
+00:53:45,470 --> 00:53:48,590
+جوا ال conductor خدهم هتلاقي جهدهم واحد يعني في
+
+755
+00:53:48,590 --> 00:53:52,570
+عندك خاصية جديدة ان الجهد داخلي ال conductor
+
+756
+00:53:52,570 --> 00:53:57,010
+بتساوي KQ بتساوي constant بعدين شوف قائمة قيمتها
+
+757
+00:53:57,010 --> 00:54:02,350
+بتساوي constant inside a conductor هاي كمان خاصية
+
+758
+00:54:02,350 --> 00:54:08,900
+رابعالخاصية الرابعة الهواتف تدفع على السطح الهواتف
+
+759
+00:54:08,900 --> 00:54:12,180
+الداخلية تدفع إلى 0 الهواتف الداخلية تدفع إلى 0
+
+760
+00:54:12,180 --> 00:54:13,020
+الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية تدفع
+
+761
+00:54:13,020 --> 00:54:14,260
+إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية
+
+762
+00:54:14,260 --> 00:54:14,680
+تدفع إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف
+
+763
+00:54:14,680 --> 00:54:14,940
+الداخلية تدفع إلى 0 الهواتف الداخلية تدفع إلى 0
+
+764
+00:54:14,940 --> 00:54:17,760
+الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية تدفع
+
+765
+00:54:17,760 --> 00:54:19,920
+إلى 0 الهواتف الداخلية تدفع إلى 0 الهواتف الداخلية
+
+766
+00:54:19,920 --> 00:54:25,730
+تدفع إلى 0 الهواتف الداخليةزاكرين المره ديك لما ال
+
+767
+00:54:25,730 --> 00:54:28,970
+ring و ان المجال جوا كان zero لكن الجهد ماكنش zero
+
+768
+00:54:28,970 --> 00:54:32,670
+كان constant صح و لا لأ فمعناته المجال zero لكن
+
+769
+00:54:32,670 --> 00:54:37,910
+الجهد مش zero بطلع ثابت تمام؟ في برمور في شغل
+
+770
+00:54:37,910 --> 00:54:43,480
+تانية بقولي أنا بدي خليواحد منهم since E is always
+
+771
+00:54:43,480 --> 00:54:49,260
+normal to DL on
+
+772
+00:54:49,260 --> 00:54:52,040
+the surface directly potential is also constants
+
+773
+00:54:52,040 --> 00:54:54,640
+on the surface of the conductor بيقوللي ال initial
+
+774
+00:54:54,640 --> 00:54:59,760
+و ال final مابديش يوم هنا خلي ال initial هنا و ال
+
+775
+00:54:59,760 --> 00:55:04,080
+final هنا وين النقطين صاروا الآن؟ على السطح ايش
+
+776
+00:55:04,080 --> 00:55:07,950
+بدك المجال انت؟لين و أنت ماشي على السطح و أنا مش
+
+777
+00:55:07,950 --> 00:55:11,350
+عالسطح انت بدك المجال و أنت ماشي هنا في الطريق هذه
+
+778
+00:55:11,350 --> 00:55:14,890
+على السطح بدك المجال على السطح طيب مش القانون فيه
+
+779
+00:55:14,890 --> 00:55:18,670
+dot product؟ فيه dot product طب و إيه .. إيش
+
+780
+00:55:18,670 --> 00:55:24,550
+علاقتها مع المناس مش عمودية عمودية و cosine
+
+781
+00:55:24,550 --> 00:55:30,510
+والتسعين Zero برض كل أمة هي Zero إذا برض الجهد على
+
+782
+00:55:30,510 --> 00:55:35,670
+السطح بساوي Zeroبرضه الجهد عالسطح بيسوي 0 fear of
+
+783
+00:55:35,670 --> 00:55:39,770
+more since E is always normal يعني perpendicular
+
+784
+00:55:39,770 --> 00:55:43,590
+to DL on the surface the electric potential is
+
+785
+00:55:43,590 --> 00:55:46,510
+also constant on the surface of the conductor إذا
+
+786
+00:55:46,510 --> 00:55:50,510
+صار في عيني شغلة الجهد جوه ال conductor بيسوي ثابت
+
+787
+00:55:50,510 --> 00:55:54,030
+و الجهد عالسطح بيسوي ثابت الجهد جوه ال conductor
+
+788
+00:55:54,030 --> 00:55:58,970
+مش Zero فرق الجهد Zero يعني فرق من نقطين سفر يعني
+
+789
+00:55:58,970 --> 00:56:01,950
+كده بيسوي بعض ولا لأ بيسوي بعض احكي
+
+790
+00:56:05,040 --> 00:56:10,460
+هو نفسه، هو نفسه، بدوني أحس بعد ولا وياك another
+
+791
+00:56:10,460 --> 00:56:13,660
+important property of the conductor thus follows
+
+792
+00:56:13,660 --> 00:56:18,580
+the electric potential inside any conductor is in
+
+793
+00:56:18,580 --> 00:56:22,400
+equilibrium is constant and equal to the electric
+
+794
+00:56:22,400 --> 00:56:27,570
+potential on its surfaceبساوي على السطح الجهد جوه
+
+795
+00:56:27,570 --> 00:56:30,450
+ال conductor بساوي ثابت و يساوي الجهد على السطح
+
+796
+00:56:30,450 --> 00:56:33,730
+طبعا ليش؟ طب انت جبتلي التنتين على السطح و جبتلي
+
+797
+00:56:33,730 --> 00:56:39,110
+التنتين جوه قالك لأ خلي واحدة منهم هنا و واحدة
+
+798
+00:56:39,110 --> 00:56:44,070
+منهم هنا هاي ال final طلع عليا حيث ان انت ماشي من
+
+799
+00:56:44,070 --> 00:56:48,970
+initial ل final اي مجال بدك ايش قيمته؟ اذا معناته
+
+800
+00:56:48,970 --> 00:56:52,940
+الجهد هنا بساوي الجهد هنافهمتوا يا شباب؟ يعني كيف
+
+801
+00:56:52,940 --> 00:56:56,840
+بدي أثبت ان انا .. انت جوا ثابت فهمنا وعالسطح ثابت
+
+802
+00:56:56,840 --> 00:57:00,580
+فهمنا طب كيف اللي جوا بيصور عالسطح؟ بقوله اشتغل
+
+803
+00:57:00,580 --> 00:57:03,420
+نفس الشغل خل ال initial point inside و ال final
+
+804
+00:57:03,420 --> 00:57:11,300
+point on the surface ويلا اشتري هاي نشتغل و
+
+805
+00:57:11,300 --> 00:57:15,560
+نطلع
+
+806
+00:57:15,560 --> 00:57:17,820
+نجيب السامل اللي كان يلعب توي و اللي بيلعب لها لها
+
+807
+00:57:17,820 --> 00:57:25,060
+مشاكل بايح جايالمجال اللي هي قداش هذا
+
+808
+00:57:25,060 --> 00:57:28,480
+الجهد بيسوي جهد هذا يعني هذا الجهد جوا بيسوي جهد
+
+809
+00:57:28,480 --> 00:57:33,180
+هذا على السطح إذا الجهد جوا constant and equal to
+
+810
+00:57:33,180 --> 00:57:37,720
+the potential on the surface قاعدة مفهومة ومعروفة
+
+811
+00:57:37,720 --> 00:57:43,270
+بقول بدي أثبتها كده مرةبدي اكتبتها كمان مرة و
+
+812
+00:57:43,270 --> 00:57:47,270
+explicitly و بقوانين نقول to prove this property
+
+813
+00:57:47,270 --> 00:57:51,190
+explicitly يعني بالتفصيل let us consider a
+
+814
+00:57:51,190 --> 00:57:53,650
+conducting sphere of radius capital R and its
+
+815
+00:57:53,650 --> 00:57:58,210
+charge capital Q the electric potential at a point
+
+816
+00:57:58,210 --> 00:58:01,150
+inside the sphere at a point inside the sphere زي
+
+817
+00:58:01,150 --> 00:58:05,130
+ما طبعا قلتلكم عنها من ما نهيئة small r a dot of
+
+818
+00:58:05,130 --> 00:58:10,700
+dlبره غير عن جوه بره من مال نهاية لحدود المنطقة
+
+819
+00:58:10,700 --> 00:58:13,440
+اللي برا وجوه من بداية حدود المنطقة اللي جوه
+
+820
+00:58:13,440 --> 00:58:17,760
+للنقطة اللي بدي إياها تمام قدش EN شباب؟ Zero
+
+821
+00:58:20,480 --> 00:58:24,900
+E in بتسييز Zero and E out هدهيه اذا المعناه تجري
+
+822
+00:58:24,900 --> 00:58:30,120
+عوّد عوّد بقول يالا عوّد E out نعرفها هدهيه صار
+
+823
+00:58:30,120 --> 00:58:36,620
+capital Q على أربع باي ي نوع ثوابت تكامل DL.R unit
+
+824
+00:58:36,620 --> 00:58:41,000
+vector على R تربيع من المنام الهيئة لcapital R هذه
+
+825
+00:58:41,000 --> 00:58:47,020
+عبارة عن DRبظبط بيساوي سالب في عندي سالب بيصير
+
+826
+00:58:47,020 --> 00:58:53,000
+موجب Q على اربعة by اي نوت واحد على R من مانها
+
+827
+00:58:53,000 --> 00:59:00,480
+لcapital R طلعت هذه الجهود على السطح ما هي هي
+
+828
+00:59:00,480 --> 00:59:04,850
+الجهود على السطح هي نفس الجهود على السطحwhich is
+
+829
+00:59:04,850 --> 00:59:08,490
+the same the value of the potential at the surface
+
+830
+00:59:08,490 --> 00:59:13,470
+of the conductor اذا مافيش عندي اي اشكالية بان هذه
+
+831
+00:59:13,470 --> 00:59:23,970
+الخاصية اكيد صحيحة اكيد صحيحة طبعا لو
+
+832
+00:59:23,970 --> 00:59:27,350
+جيت بدي اعصم ل conductor شباب بيقول الجهد الأزرق
+
+833
+00:59:27,350 --> 00:59:31,850
+شايفينه الخط الأزرق بيمثل الجهد طول ما انت جوا ال
+
+834
+00:59:31,850 --> 00:59:37,420
+conductor جهدك ثابتبعد كده بيصير واحد على R واحد
+
+835
+00:59:37,420 --> 00:59:40,440
+على R بيصير هيك وعندمان النهاية ال H بيصير Zero
+
+836
+00:59:40,440 --> 00:59:44,160
+تمام بيقول if a figure shows the variation of V
+
+837
+00:59:44,160 --> 00:59:47,960
+تغير ال V as a function of the radial distance R
+
+838
+00:59:47,960 --> 00:59:52,180
+for a conducting sphere of radius capital R بتطلع
+
+839
+00:59:52,180 --> 01:00:01,120
+لك إياها طب الآن في شغلات مهمة الان conductor واحد
+
+840
+01:00:02,810 --> 01:00:07,030
+نقاط مختلفة على الصفحة كده الشي جاهد بيكون لازم
+
+841
+01:00:07,030 --> 01:00:10,910
+يكون ثاني حلو طب انا جيت عندي two conductors two
+
+842
+01:00:10,910 --> 01:00:14,830
+conductors روحت وصلتهم مع بعض اكم conductor صاروا
+
+843
+01:00:14,830 --> 01:00:19,380
+صاروا conductor واحدما زالت وصلوا وصلوا واحد خلاص
+
+844
+01:00:19,380 --> 01:00:23,620
+اشتبكوا ما زال اشتبكوا لازم ال voltage على الجهود
+
+845
+01:00:23,620 --> 01:00:26,880
+على هذا و على هذا لازم نسوي بعض ولا لا قطع القاعدة
+
+846
+01:00:26,880 --> 01:00:29,360
+طب في الأول ماكنوش ايش بده يصير عشان يصيروا بعض
+
+847
+01:00:29,360 --> 01:00:32,140
+تقولك الشحنات تنتقل من واحد الأعلى جهود إلى الأقل
+
+848
+01:00:32,140 --> 01:00:36,710
+جهود حتى تتساوي الجهوداللي ليش بتنتقل؟ عشان يتحقق
+
+849
+01:00:36,710 --> 01:00:40,210
+القاعدة الأولى انه لازم الجهود اتنين تساوي لإن
+
+850
+01:00:40,210 --> 01:00:44,030
+مفصل الconductor واحد إذا قطعا هذا لازم يكون صحيحة
+
+851
+01:00:44,030 --> 01:00:48,510
+if two or more conducting objects are connected by
+
+852
+01:00:48,510 --> 01:00:52,490
+a conducting wire the conductors are no longer
+
+853
+01:00:52,490 --> 01:00:57,270
+separate بيقفلوا مفصلين but can be considered as a
+
+854
+01:00:57,270 --> 01:00:59,970
+single conductor فهو single conductor ذكرين في
+
+855
+01:00:59,970 --> 01:01:03,270
+التفصيل على التوازي؟تقصد على التوازي جديش الجهد
+
+856
+01:01:03,270 --> 01:01:06,990
+بتسوى و لا بتسوأش ليش؟ لأنه في التوازي بوصل
+
+857
+01:01:06,990 --> 01:01:10,290
+conductor مع conductor شباب في التوازي إذا كنتوا
+
+858
+01:01:10,290 --> 01:01:15,490
+ذاكرين أجيبكم أنا خلّيني أقول capacitor اللي هي
+
+859
+01:01:15,490 --> 01:01:20,210
+المكاتب الفاتر خرط عليكم الكباسيه ده؟ الcapacitor
+
+860
+01:01:20,210 --> 01:01:23,990
+من إيش بيتكوّن؟
+
+861
+01:01:23,990 --> 01:01:28,030
+بيتكوّن من؟ شو الصفحي اللي لازم يكونوا؟ لازم
+
+862
+01:01:28,030 --> 01:01:31,750
+يكونوا conductorsبنفعش يكونوا Consulators يعني هذا
+
+863
+01:01:31,750 --> 01:01:34,430
+كوندكتر و هذا كوندكتر و هذا كوندكتر و هذا كوندكتر
+
+864
+01:01:34,430 --> 01:01:38,150
+طب وصلهم على التوازي x1 ولا لأ هدول two conductors
+
+865
+01:01:38,150 --> 01:01:41,050
+توصلوا بالسلك إذا صاروا يهدهم واحد و هدول two
+
+866
+01:01:41,050 --> 01:01:44,230
+conductors توصلوا بالسلك صاروا يهدهم واحد عشان كده
+
+867
+01:01:44,230 --> 01:01:48,950
+بقول في التوازي v1 و v2 منهم بيساوي بعض بيساوي بعض
+
+868
+01:01:48,950 --> 01:01:52,650
+تبعين من هذه القاعدة إتانى شباب إذا any two
+
+869
+01:01:52,650 --> 01:01:57,530
+conductors أول ما يقولك توصله على طول بطلع من المخ
+
+870
+01:01:57,530 --> 01:02:02,670
+v1 بيساوي v2تساوية جهوده لأنهم صاروا conductor
+
+871
+01:02:02,670 --> 01:02:09,470
+واحد this means that the electrical charge will
+
+872
+01:02:09,470 --> 01:02:12,670
+transfer from the conductor of higher potential to
+
+873
+01:02:12,670 --> 01:02:15,290
+that of lower potential until the equilibrium
+
+874
+01:02:15,290 --> 01:02:19,210
+condition is achievedواحد عنده شحنات كبيرة وواحد
+
+875
+01:02:19,210 --> 01:02:21,990
+عنده شحنات صغيرة وواحد جهود كبير وواحد جهود صغير
+
+876
+01:02:21,990 --> 01:02:25,670
+ووصلتهم مع بعض كبري متساوى تنتقل الشحنات من الأعلى
+
+877
+01:02:25,670 --> 01:02:30,650
+جهود إلى الأقل جهود حتى تتساوي الجهود حتى تتساوي
+
+878
+01:02:30,650 --> 01:02:36,250
+الجهود مافيش مجال لازم يتساوي الجهود تبعوا شباب
+
+879
+01:02:36,250 --> 01:02:42,590
+طبعا في مثال على هالقضية مش حاجة حلوةبس خلّيني أحط
+
+880
+01:02:42,590 --> 01:02:47,410
+المراحزة therefore if two or more conductors are
+
+881
+01:02:47,410 --> 01:02:51,350
+connected and equilibrium is achieved يعني انقلق
+
+882
+01:02:51,350 --> 01:02:54,050
+انا وصلتهم وفوز فيه equilibrium خلاص وكفت حركة
+
+883
+01:02:54,050 --> 01:02:57,470
+الشحنات they must be at the same electric
+
+884
+01:02:57,470 --> 01:03:00,830
+potential زي ما تقول حكيته على طول توصلواإن هو نفس
+
+885
+01:03:00,830 --> 01:03:05,890
+الجهود هذه القاعدة اللي خدها شباب لإنها تتواصل على
+
+886
+01:03:05,890 --> 01:03:09,030
+التوازي التواصل على التوازي كل هذه الأمور كلها
+
+887
+01:03:09,030 --> 01:03:12,210
+منطبقة على هذا المبدأ لأنه انا بتعامل بعد كده مع
+
+888
+01:03:12,210 --> 01:03:16,550
+conductors كل الأسلاك مش conductors كل الأسلاك
+
+889
+01:03:16,550 --> 01:03:20,310
+conductors وبالتالي غالبا هيتعامل مع conductors
+
+890
+01:03:20,310 --> 01:03:22,970
+اللي توصلوا مع بعض من نفس النقطة إذا نقلها نفس
+
+891
+01:03:22,970 --> 01:03:24,990
+الجهود طبعا
+
+892
+01:03:27,150 --> 01:03:30,770
+بقول in analog with the electric field lines the
+
+893
+01:03:30,770 --> 01:03:33,590
+electric potential can be represented by equal
+
+894
+01:03:33,590 --> 01:03:36,730
+potential surfaces بقول ال electric field lines ان
+
+895
+01:03:36,730 --> 01:03:42,090
+تمثلتيليهم خطوط وهمية و انهم قواعد انه ايه من ال
+
+896
+01:03:42,090 --> 01:03:45,860
+positive لل negativeالنسبة لـ E هي الاتريكشن تبعها
+
+897
+01:03:45,860 --> 01:03:47,720
+مع الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+898
+01:03:47,720 --> 01:03:47,880
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+899
+01:03:47,880 --> 01:03:49,980
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+900
+01:03:49,980 --> 01:03:50,220
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+901
+01:03:50,220 --> 01:03:51,800
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+902
+01:03:51,800 --> 01:03:53,460
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+903
+01:03:53,460 --> 01:03:58,940
+الاتريكشن تبع الاتريكشن تبع الاتريكشن تبع
+
+904
+01:03:58,940 --> 01:04:07,230
+الاتريكشن تبع الاتريزي ما انت رسمتلي المجال ارسملي
+
+905
+01:04:07,230 --> 01:04:11,050
+الجهود بشغلات اعرف ان هنا فيه جهود قال الجهود ده
+
+906
+01:04:11,050 --> 01:04:15,690
+بمثله ب surfaces مش ب lines و ال surfaces هدول
+
+907
+01:04:15,690 --> 01:04:19,570
+بيسموهم equipotential surfaces لو نيجي نستخدم كلمة
+
+908
+01:04:19,570 --> 01:04:25,290
+equipotential ايكوي من وين جاية من equal potential
+
+909
+01:04:25,290 --> 01:04:29,450
+اذا ال equipotential surface هو السطح اللي بيكون
+
+910
+01:04:29,450 --> 01:04:34,990
+الجهود عليه ثابت متساوي هي معناه equipotentialما
+
+911
+01:04:34,990 --> 01:04:41,610
+هو بتساوي ال potential؟ بيقوللي a surface with all
+
+912
+01:04:41,610 --> 01:04:45,190
+its points are at the same electric potential is
+
+913
+01:04:45,190 --> 01:04:49,690
+called ecopotential surfaceيعني لأن هذا الموح ..
+
+914
+01:04:49,690 --> 01:04:53,130
+وينما كانت أصبح الجهد واحد .. بتسميه Equipotential
+
+915
+01:04:53,130 --> 01:04:56,410
+Surface ولا لأ؟ هذا هي .. Equipotential Surface
+
+916
+01:04:56,410 --> 01:05:00,710
+يعني أستطيع أن وينما كان جهده متساوي .. هذا بيسموه
+
+917
+01:05:00,710 --> 01:05:04,430
+Equipotential .. بس Surface .. Equipotential
+
+918
+01:05:04,430 --> 01:05:07,670
+Surface طبعا from this definition .. from this
+
+919
+01:05:07,670 --> 01:05:11,430
+definition .. it follows that no work is done ..
+
+920
+01:05:11,430 --> 01:05:15,550
+في علاقة بين الجهد والwork شباب ولا لأ؟هل جت الشغل
+
+921
+01:05:15,550 --> 01:05:20,670
+اللي لازم عشان أنقل شحنة بين نقطين مش بيساوي
+
+922
+01:05:20,670 --> 01:05:23,750
+الشحنة المنقولة في فرق الجهد بين نقطين؟ طيب، في
+
+923
+01:05:23,750 --> 01:05:28,550
+عندهم نقطين على السطح، النقطين اللي هم نفس الجهد،
+
+924
+01:05:28,550 --> 01:05:31,170
+جديش فرق الجهد بينهم؟ جديش شغل ال building عشان
+
+925
+01:05:31,170 --> 01:05:32,530
+ننقل منها لها؟ Zero
+
+926
+01:05:38,310 --> 01:05:43,090
+مافيش شغل لان مافيش فرق جهود تمام؟ زي اذا كان اول
+
+927
+01:05:43,090 --> 01:05:47,930
+واحدة نجنها ماكنش فيه شغل لان ماكنش فيه جهود تمام
+
+928
+01:05:47,930 --> 01:05:51,470
+from this definition it proves that no work is
+
+929
+01:05:51,470 --> 01:05:54,310
+done by the electric field in moving a charged
+
+930
+01:05:54,310 --> 01:05:57,210
+particle between two points in the same
+
+931
+01:05:57,210 --> 01:06:00,490
+equipotential surfaceمرات بيجيكي أمثلة كالتالي
+
+932
+01:06:00,490 --> 01:06:03,930
+شباب بيصيبلي ال conductor زي هيك بيقولك احسبلي
+
+933
+01:06:03,930 --> 01:06:08,810
+الشغل عشان اوقل شحنة من النقطة هذه للنقطة هذه Zero
+
+934
+01:06:08,810 --> 01:06:16,090
+Zero لإنه فرق الجهود ثابت طب من النقطة هذه للنقطة
+
+935
+01:06:16,090 --> 01:06:21,730
+هذه ببدأ أقول هذا ايه ال potential service ولا لا
+
+936
+01:06:21,730 --> 01:06:25,550
+ايه ال potential service لإن الجهد عليه كل واحد
+
+937
+01:06:25,550 --> 01:06:30,760
+تمامThis means that the electric field lies must
+
+938
+01:06:30,760 --> 01:06:32,660
+be perpendicular to that potential surface
+
+939
+01:06:45,950 --> 01:06:50,430
+الان عشان الشجر يطلع صفر هذه DL لازم تكون متعامد
+
+940
+01:06:50,430 --> 01:06:55,630
+على E و DL انت بتنجل من نقطة لنقطة على السطح اذا
+
+941
+01:06:55,630 --> 01:06:59,870
+لازم E و السطح يكون متعامدين اذا كيف بدأ ارسم
+
+942
+01:06:59,870 --> 01:07:02,170
+السطوح بقول انت ارسم خطوط المجال وبعدين اعمل
+
+943
+01:07:02,170 --> 01:07:08,310
+متعامد يعني لو كان خط مجال زيك هذا
+
+944
+01:07:08,310 --> 01:07:12,110
+المجال مش هذا uniform ارسم eco potential surface
+
+945
+01:07:12,110 --> 01:07:14,900
+بقول حط ورقة هيكهذه الـ computational surfaces وحط
+
+946
+01:07:14,900 --> 01:07:17,280
+ورقة جابانها وحط ورقة جابانها هذي هي ال
+
+947
+01:07:17,280 --> 01:07:19,580
+computational surfaces هجيتي ومش عصاب خطوط شباب
+
+948
+01:07:19,580 --> 01:07:23,300
+هذي هو الأسطح هذي الحرف أسطح هي ال computational
+
+949
+01:07:23,300 --> 01:07:28,420
+surfaces طبعا هجيتي ومشي من هان لهان no work
+
+950
+01:07:28,420 --> 01:07:34,300
+ساعتها دي ال كي بتكون هاي دي ال وإيه is a no work
+
+951
+01:07:34,300 --> 01:07:40,220
+صح؟ لكن لو دي بتمشي من هان لهان فيه work مظبوط؟ طب
+
+952
+01:07:40,220 --> 01:07:44,200
+امشي من هان لهان no workإذا المعنى هو انت ماشي
+
+953
+01:07:44,200 --> 01:07:47,660
+هيك، you work وهذا المنطق إذا هذا هو الـEco
+
+954
+01:07:47,660 --> 01:07:50,440
+Potential Surface فالـEco Potential Surface بتكون
+
+955
+01:07:50,440 --> 01:07:53,940
+عموجة على الـElectric Field Lines لازم، عشان مافيش
+
+956
+01:07:53,940 --> 01:07:58,560
+شغل، والشغل بيكون Zero إذا كانت الإزاحة والقوة
+
+957
+01:07:58,560 --> 01:08:03,240
+متعمدات زي لما نقول لو واحد جيتعب يضغط ويمشي في
+
+958
+01:08:03,240 --> 01:08:07,300
+الممر هذا، من أول ممر لآخر ممر، من اليوم مرة،
+
+959
+01:08:07,300 --> 01:08:16,650
+نقوله كده الشغل الجاذبية؟ كم ساوي؟zero ليش؟
+
+960
+01:08:16,650 --> 01:08:20,190
+لأن الجاذبية الأسفل وانت رايح يوجعي لديش زاحتك
+
+961
+01:08:20,190 --> 01:08:24,890
+أوفقية اذا لديش شغل جاذبية مش شغلك هاه انت كلش
+
+962
+01:08:24,890 --> 01:08:28,730
+شغلك شغل انت بيقوم بموار على جراح انت هتعرض و تخلق
+
+963
+01:08:28,730 --> 01:08:32,270
+هذه شغل اللي بيجلطوا ضد الاحتكاك مش شغل الجاذبية
+
+964
+01:08:33,180 --> 01:08:37,120
+الشغل انت وانت بتمشي هشوف لو مافيش احتكاك بتضر لك
+
+965
+01:08:37,120 --> 01:08:39,300
+رايح جاي ولا فيه عرق ولا حاجة أو تيجي بتشتغل في
+
+966
+01:08:39,300 --> 01:08:42,780
+شاي وقهوة ومافيش أي مشكلة فالمشكلة انت بتعمل شغل
+
+967
+01:08:42,780 --> 01:08:45,900
+ضد الاحتكاك وانت ناشط طبعا لو مافيش احتكاك مانعش
+
+968
+01:08:45,900 --> 01:08:50,560
+تمشي اصلاده ماشي احتكالي؟ اه طبعا لا عشتش فبالتالي
+
+969
+01:08:50,560 --> 01:08:54,520
+لكن لو يجي تقولتلك احسب الشغل الجاذبية وانت وايح
+
+970
+01:08:54,520 --> 01:08:58,620
+وجاه مغلى مرتين تلاتة اربعة Zero لأن القوة
+
+971
+01:08:58,620 --> 01:09:02,180
+والإزاحة متعمدات والشغل بيقول ي dot و باك اذا من
+
+972
+01:09:02,180 --> 01:09:08,420
+هال الشغل Zero إذا نقل قوة او E بمعنى اخر لازم
+
+973
+01:09:08,420 --> 01:09:11,860
+تكون متعمد على ال DL وDL على ال surface إذا دايما
+
+974
+01:09:11,860 --> 01:09:15,960
+ال Ecological Surface بيكون متعمد على خطوط المجال
+
+975
+01:09:15,960 --> 01:09:21,170
+الكهربائيمشي شباب طيب ما انا عندي شغلة بسيطة طالع
+
+976
+01:09:21,170 --> 01:09:26,010
+انا هنا the surface of my conductor اذا حكيتها هذا
+
+977
+01:09:26,010 --> 01:09:27,810
+conductor is a surface تبعه لازم يكون
+
+978
+01:09:27,810 --> 01:09:30,570
+equipotential surface ده انا عندي مثال لازم اخلي
+
+979
+01:09:30,570 --> 01:09:33,050
+ليوم لحد
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..15babf2f137096561347382dffbf8749e3b197f9
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_postprocess.srt
@@ -0,0 +1,3552 @@
+1
+00:00:10,320 --> 00:00:15,220
+بسم الله الرحمن الرحيم نستنف ماتبقى من هذا ال
+
+2
+00:00:15,220 --> 00:00:20,120
+chapter بس بسرعة نحاول نسترجع اللى أخدناه في
+
+3
+00:00:20,120 --> 00:00:24,900
+المحاضرة السابقة حكينا أن عصر المجال المغناطيسي هو
+
+4
+00:00:24,900 --> 00:00:29,700
+الشحنات المتحركةوبالتالي a moving charge or a
+
+5
+00:00:29,700 --> 00:00:34,120
+current creates a magnetic field رمزه capital P in
+
+6
+00:00:34,120 --> 00:00:39,180
+the space around it وبعد كده حكينا هذا بيدي إلى
+
+7
+00:00:39,180 --> 00:00:43,060
+النتيجة التالية ان any moving charge exists in the
+
+8
+00:00:43,060 --> 00:00:45,680
+region of P will be affected by a magnetic force
+
+9
+00:00:45,680 --> 00:00:50,020
+واتفقنا القانون تبع الوحيد اللي حتى الآن أخدناه ان
+
+10
+00:00:50,020 --> 00:00:55,570
+f equal q v cross bبما ان f is a vector quantity
+
+11
+00:00:55,570 --> 00:00:59,270
+المفروض يكون في عندي cross product between v and b
+
+12
+00:00:59,270 --> 00:01:04,530
+لأن v is a vector and b is also a vector ومن هذه
+
+13
+00:01:04,530 --> 00:01:08,630
+العلاقة اتفقنا لو كانت v و b parallel بتكون
+
+14
+00:01:08,630 --> 00:01:14,230
+الزاوية 0 او 180 والقوة بتكون 0 والمعلومة التانية
+
+15
+00:01:15,970 --> 00:01:19,610
+أن F يجب أن تكون عموديًا لـ V و B
+
+16
+00:01:27,040 --> 00:01:31,540
+الوحدة تبعتي ال magnetic field هي التسلا او الجاوس
+
+17
+00:01:31,540 --> 00:01:35,720
+بحسب ال system المستخدم where one tesla equal to
+
+18
+00:01:35,720 --> 00:01:39,740
+ten to power four gauss هذا كل ما أخدناه الكمية
+
+19
+00:01:39,740 --> 00:01:42,340
+الوحيدة الجديدة اللي عندنا هي ال magnetic field
+
+20
+00:01:42,340 --> 00:01:46,740
+النمزا capital B it is a vector quantity with its
+
+21
+00:01:46,740 --> 00:01:48,400
+أسأع unit of تسلا
+
+22
+00:01:51,880 --> 00:01:57,240
+اتفقنا ان ال magnetic force بتكون عمودية ع ال
+
+23
+00:01:57,240 --> 00:02:01,060
+velocity و عمودية ع ال P وبالتالي لابد اني عشان
+
+24
+00:02:01,060 --> 00:02:04,040
+اجيب ال direction بتاعها استخدم قاعدة اليدي
+
+25
+00:02:04,040 --> 00:02:09,970
+اليومنا ان أصابع الأربعة بيكونوا مع V بعملانحناء
+
+26
+00:02:09,970 --> 00:02:14,610
+باتجاه بي my thumb او الابهام تبعه بيعطينا ال
+
+27
+00:02:14,610 --> 00:02:18,890
+direction of بي طبعا هذا الكلام لما يكون الشحنة
+
+28
+00:02:18,890 --> 00:02:21,690
+موجبة شباب لما .. لما تستخدموا إيديكم و لو كانت
+
+29
+00:02:21,690 --> 00:02:25,550
+الشحنة سالبة و ان ابهامكم تعكسه لو كانت الشحنة
+
+30
+00:02:25,550 --> 00:02:32,840
+سالبة تمامهذا صحيح إذا كان الـ Q صحيح، دع أصحاب
+
+31
+00:02:32,840 --> 00:02:34,180
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+32
+00:02:34,180 --> 00:02:34,200
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+33
+00:02:34,200 --> 00:02:35,840
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+34
+00:02:35,840 --> 00:02:37,920
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+35
+00:02:37,920 --> 00:02:39,760
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+36
+00:02:39,760 --> 00:02:49,060
+أصحاب أصحاب أ
+
+37
+00:02:54,860 --> 00:02:58,840
+واتفق لها هيكون في عينها رمزين يتكرهو كتير ان هذا
+
+38
+00:02:58,840 --> 00:03:04,800
+رمز بيعطي out of the page وهو يمثل رأس البرغي او
+
+39
+00:03:04,800 --> 00:03:09,780
+الدبوس وهذا هو خلفيته البرغي بيوصللي انه into the
+
+40
+00:03:09,780 --> 00:03:16,460
+page على اعتبار ان هذا k وهذا ناقص k انه out of
+
+41
+00:03:16,460 --> 00:03:21,080
+the page k و into the page هو ناقص k نتعامل معه في
+
+42
+00:03:21,080 --> 00:03:25,300
+ال directions اللي نتعامل معهاو هيدّينا المثال هذا
+
+43
+00:03:25,300 --> 00:03:28,300
+إن لو كان شحن موجة بقى بدا تمشي و المجال
+
+44
+00:03:28,300 --> 00:03:31,740
+الميوناطيسي اللي شايفينه هو out into the page يعني
+
+45
+00:03:31,740 --> 00:03:35,380
+ناقص K و جيت بدي أجيب ال direction كيف لو عملت
+
+46
+00:03:35,380 --> 00:03:42,480
+هذا؟ كيف تتضبط معاك؟ كيف
+
+47
+00:03:42,480 --> 00:03:43,980
+الصورة عايزة تعملها؟ كيف أصابعك الأربعة عايزة
+
+48
+00:03:43,980 --> 00:03:48,680
+تعملها؟ أصابعك الأربعة هيك و الجهة هيك؟ كيف إفهامك
+
+49
+00:03:48,680 --> 00:03:50,860
+بيكون؟ لفوق
+
+50
+00:03:54,260 --> 00:03:59,480
+بتتنهيج لازم يكون يبهر مكة لفوق تمام؟ بتتنهيج
+
+51
+00:03:59,480 --> 00:04:02,020
+وبالتالي يبهر مكة لفوق طبعا لو كانت الشوحانة
+
+52
+00:04:02,020 --> 00:04:06,960
+السابقة بيكون فتحها اي
+
+53
+00:04:06,960 --> 00:04:10,400
+واحدة لفوق واحدة لتحت وبالتالي بيكون ال direction
+
+54
+00:04:10,400 --> 00:04:14,800
+بيطلع فوق وهذا بينحني الى أسفل هذا ال deflection
+
+55
+00:04:14,800 --> 00:04:23,170
+تبعه تمام طيب الآن المعلومة اللى عندنامن القانون
+
+56
+00:04:23,170 --> 00:04:27,430
+الوحيد اللي موجود ان F شباب ال magnetic force
+
+57
+00:04:27,430 --> 00:04:37,210
+بيسوي Q V cross بيه هذا قانوني ايش علاقة V مع ال F
+
+58
+00:04:37,210 --> 00:04:40,770
+متعامدين
+
+59
+00:04:40,770 --> 00:04:46,290
+متعامدين لو حققت F ضد ال V تقومي ديش تطلع
+
+60
+00:04:50,790 --> 00:04:54,330
+مشي ال dot برورك بال D cosine وانت قولتوا متعامدين
+
+61
+00:04:54,330 --> 00:04:58,690
+و ال cosine التسعين قد هي zero تمام؟ بيقول since F
+
+62
+00:04:58,690 --> 00:05:02,890
+and V are perpendicular زي ما انتوا عارفينها then
+
+63
+00:05:02,890 --> 00:05:07,090
+F dot ال V سوى Zero طب ال V بيسوى DS على DT ولا
+
+64
+00:05:07,090 --> 00:05:11,490
+لأ؟ طيب F dot ال DS كمية فيزيائية مشهورة الشي هذه
+
+65
+00:05:12,660 --> 00:05:17,020
+مش الشغل؟ إذا المعناته بقدر أقول this means that
+
+66
+00:05:17,020 --> 00:05:20,300
+the magnetic force is always perpendicular to the
+
+67
+00:05:20,300 --> 00:05:24,600
+displacement and hence it doesn't do any work in
+
+68
+00:05:24,600 --> 00:05:27,760
+the displaced particle إذا هي معلومة جيدة أن القوة
+
+69
+00:05:27,760 --> 00:05:32,300
+المغناطسية بتعملش أي شغل بتعملش أي شغل طب هالليش
+
+70
+00:05:32,300 --> 00:05:35,840
+بدينا نسفيد منها؟ جاليها هتسفيدي شغلات كتيرة في
+
+71
+00:05:35,840 --> 00:05:40,140
+علاقة بين القائمة ال energy والشغل ولا مافيش مشدوة
+
+72
+00:05:40,140 --> 00:05:44,440
+بليونات بالساوية ده التكييف الشباب؟تمام؟ الـ work
+
+73
+00:05:44,440 --> 00:05:52,980
+energy theorem اللي هي كان الـ W net يسوى Delta K
+
+74
+00:05:52,980 --> 00:05:56,680
+ذكرين ما كانت القانون؟ حد سمتها work energy
+
+75
+00:05:56,680 --> 00:06:00,640
+theorem انا ذاك في فيزيا الف جالسة فحد اللي وجدت
+
+76
+00:06:00,640 --> 00:06:05,600
+في ده اكتبها W net بيسوى Delta K جديش اتفاق مع W
+
+77
+00:06:05,600 --> 00:06:09,960
+net في القوة المماطسية؟ اذا Delta K جديش؟ طب ايش
+
+78
+00:06:09,960 --> 00:06:16,500
+Delta K؟ مين يقول ليهاش بيسوى؟دلتا K ماش هي K
+
+79
+00:06:16,500 --> 00:06:23,020
+final ناقص K initial
+
+80
+00:06:23,020 --> 00:06:32,140
+نص M V final تربية ناقص V initial تربية
+
+81
+00:06:35,180 --> 00:06:44,280
+ماذا يعني ذلك؟ V تربيع مرموز V تربيع
+
+82
+00:06:44,280 --> 00:06:47,760
+مرموز
+
+83
+00:06:47,760 --> 00:06:51,400
+V تربيع مرموز V تربيع مرموز V تربيع مرموز V تربيع
+
+84
+00:06:51,400 --> 00:06:52,480
+مرموز V تربيع مرموز V تربيع مرموز V تربيع مرموز V
+
+85
+00:06:52,480 --> 00:06:52,500
+مرموز V تربيع مرموز V تربيع مرموز V تربيع مرموز V
+
+86
+00:06:52,500 --> 00:06:52,720
+تربيع مرموز V تربيع مرموز V تربيع مرموز V تربيع
+
+87
+00:06:52,720 --> 00:06:59,560
+مرموز V تربيع مرموز V تربيع مإيه تربيع؟ E dot E و
+
+88
+00:06:59,560 --> 00:07:02,840
+ال dot ممكن تكون scalar ولا vector إذا ال V تربيع
+
+89
+00:07:02,840 --> 00:07:05,600
+is .. طب أبلاش ال كائنات ال E هي جيه؟ vector ولا
+
+90
+00:07:05,600 --> 00:07:09,260
+zero ولا scalar إذا ال V تربيع هي ممكن تكون vector
+
+91
+00:07:09,260 --> 00:07:13,340
+ولا scalar إذا هذه speed مش velocity شباب هذه
+
+92
+00:07:13,340 --> 00:07:17,540
+speed ال V تربيع معناته لما اتعامل مع speeds ال
+
+93
+00:07:17,540 --> 00:07:21,180
+direction مروح dot product تمام؟ إيش بيقول إيه
+
+94
+00:07:21,180 --> 00:07:24,320
+معناته؟ معناته ال speed ال initial بيصير ال speed
+
+95
+00:07:24,320 --> 00:07:28,240
+ال finalطيب، واحدة واحدة هل يكفي قوة ولا مافيش
+
+96
+00:07:28,240 --> 00:07:34,440
+قوة؟ في قوة الـ Newton التاني إيش بيقول؟ بيقول F
+
+97
+00:07:34,440 --> 00:07:40,520
+بتساوي M فيه فيه قوة فيه acceleration ولا لأ؟ طيب،
+
+98
+00:07:40,520 --> 00:07:45,560
+إيش وقت الـA مع السرعة؟
+
+99
+00:07:45,560 --> 00:07:51,420
+DV على GT ما زال فيه قوة، إذا السرعة ممكن يكون
+
+100
+00:07:51,420 --> 00:07:58,360
+ثابتةلأ ممنوع يكون فيه أبتعد إذا فيه قوة بيقولي
+
+101
+00:07:58,360 --> 00:08:02,740
+هذه لازم تكون قيمة يعني V is variable V is
+
+102
+00:08:02,740 --> 00:08:06,680
+variable و هنا بيقولي ال speed is constant هل في
+
+103
+00:08:06,680 --> 00:08:14,340
+تناقض؟ لأالـ direction بتغير لأن ال velocity هي
+
+104
+00:08:14,340 --> 00:08:18,280
+عبارة عن speed و direction ال speed ثابت ده اللي
+
+105
+00:08:18,280 --> 00:08:21,700
+عندك ال direction غيره كيف ما بدك إذا مافيشش تناقض
+
+106
+00:08:21,700 --> 00:08:26,300
+المعلومة الآن إن ال velocity لازم تكون متغيرة و ال
+
+107
+00:08:26,300 --> 00:08:29,800
+speed لازم تكون ثابتة بالتالي المتغير الوحيد في ال
+
+108
+00:08:29,800 --> 00:08:33,480
+velocity هو ال direction تمام إذا المعلومة اللي
+
+109
+00:08:33,480 --> 00:08:39,080
+أنا بدي أثبتها بيقول إذا magnetic force كان نت
+
+110
+00:08:40,390 --> 00:08:46,570
+تغيّر سرعة البرتكيل. مستحيل تغيّر السرعة من قانون
+
+111
+00:08:46,570 --> 00:08:50,270
+هذا. W بيستخدر تكيير و W التفاخنة دايماً Zero
+
+112
+00:08:50,270 --> 00:08:54,310
+للمقناطية الفورية. إذن، المقناطية الفورية مستحيلة
+
+113
+00:08:54,310 --> 00:08:58,590
+تغيّر أي سرعة. السرعة الأولى بيستخدر السرعة
+
+114
+00:08:58,590 --> 00:09:05,050
+الأخيرة.طب هو في حركة بتكون فيها السرعة ثابتة وفي
+
+115
+00:09:05,050 --> 00:09:12,490
+قوة؟ أي حركة؟ الحركة الدائلية.الحركة الدائرية لو
+
+116
+00:09:12,490 --> 00:09:15,090
+كانت لسبيل ثابتة فيها عندك acceleration
+
+117
+00:09:15,090 --> 00:09:20,090
+centripetal مركزي الcentripetal مركزي جاي فقط من
+
+118
+00:09:20,090 --> 00:09:24,110
+تغير الاتجاه إذا الممكن يكون عندك حركة دورانية في
+
+119
+00:09:24,110 --> 00:09:27,050
+الحركة الدورانية فيه إمكانية الاتجاه يكون ثابت؟
+
+120
+00:09:27,050 --> 00:09:30,610
+إذا دائما متغير ولا لا؟ المهم إن القوة المناطسية
+
+121
+00:09:30,610 --> 00:09:34,170
+بتغير فقط الاتجاه إذا كل جسم في مجال مناطسي بتكون
+
+122
+00:09:34,170 --> 00:09:39,430
+حركته كيف؟ دائرية قطعادارية قطعة قادمة تشوف هذه
+
+123
+00:09:39,430 --> 00:09:43,560
+المثالة البسيطةبقول ان electron هجيتي ال electron
+
+124
+00:09:43,560 --> 00:09:46,280
+شو هتمو ده بوا لسالبة؟ بدي اعرف انها سالبة بدي
+
+125
+00:09:46,280 --> 00:09:49,780
+احطها سالبة لإن انا محطت القانون شباب هال Q حطتها
+
+126
+00:09:49,780 --> 00:09:52,820
+absolute value لأ إذا هال Q لو كانت negative بتعوض
+
+127
+00:09:52,820 --> 00:09:56,700
+ايها ما جيتها واضح؟ مش ان ان ال electron حط محالها
+
+128
+00:09:56,700 --> 00:09:59,720
+E بيحط سالب E في هذه الحالة تمام، an electron
+
+129
+00:09:59,720 --> 00:10:03,640
+moves with a speed of eight ten to power six
+
+130
+00:10:03,640 --> 00:10:07,120
+meters per second along the x-axis وقت ان احطه
+
+131
+00:10:07,120 --> 00:10:12,890
+كبيكر هدا V كيف اتجاوز؟هل أضع جانبه I ولا لأ؟ أضع
+
+132
+00:10:12,890 --> 00:10:16,370
+جانبه I لأنه بتجاه مؤهل الصين الموجب Along the x
+
+133
+00:10:16,370 --> 00:10:20,850
+-axis in a region of uniform magnetic field قيمته
+
+134
+00:10:20,850 --> 00:10:25,290
+over O25 Tesla طب ال direction will be directed at
+
+135
+00:10:25,290 --> 00:10:29,130
+an angle 60 degree to the x-axis ب160 درجة مع ال x
+
+136
+00:10:29,130 --> 00:10:33,090
+-axis قدر نرسمهاCalculate the magnitude and the
+
+137
+00:10:33,090 --> 00:10:35,270
+direction of the magnetic force acting on the
+
+138
+00:10:35,270 --> 00:10:38,210
+electron as it enters the region of B
+
+139
+00:10:52,600 --> 00:10:57,400
+طبعا يعني هو بقول لو هذا البروتور بعمل أصابع حتة
+
+140
+00:10:57,400 --> 00:11:00,560
+أو أربعة بلغ فيه قطعة out لكي عشان ال product يصير
+
+141
+00:11:00,560 --> 00:11:05,000
+into تمام يعني نقص K صحيح ده؟ خلنا نحل هالحل بديش
+
+142
+00:11:05,000 --> 00:11:07,820
+أنا ببقى صبيحي اقول تعرفش تعمل كرسي و بضارة؟ بعرف
+
+143
+00:11:07,820 --> 00:11:10,100
+اعمل كرسي و بضارة مش تعلمنا في زي عريف كيف تعمل
+
+144
+00:11:10,100 --> 00:11:14,320
+كرسي و بضارة؟ اتعلمنا من قول solution expressing v
+
+145
+00:11:14,320 --> 00:11:18,380
+and b in vector rotations اكتر من كدكتورز heavy في
+
+146
+00:11:18,380 --> 00:11:22,840
+مشكلة بتبقى هيك v؟باتجاه الـ I لأن هو along the X
+
+147
+00:11:22,840 --> 00:11:27,680
+-Axis الـ X-Axis بمثلها الـ I هدا هي طيب ال B إيش
+
+148
+00:11:27,680 --> 00:11:34,500
+هحطها؟ I ولا J؟ بتحللها؟ طب حللها، هدا حللت O
+
+149
+00:11:34,500 --> 00:11:39,300
+count of 25 Cos 60 باتجاه ال I و O count of 25 Sin
+
+150
+00:11:39,300 --> 00:11:43,800
+θ باتجاه J بعد ما حصلت طلعت هكذا، قالوا يا الله
+
+151
+00:11:43,800 --> 00:11:46,300
+مايكروس يبقى ضخم، طب يا الله لأ مايكروس يبقى ضخم،
+
+152
+00:11:46,300 --> 00:11:51,540
+هذا هو حقة السبب، هم يقولون إيهعشان الالكترون ناقص
+
+153
+00:11:51,540 --> 00:11:55,480
+1.6 x 10 to the power of minus 19 قال لي ال .. ال
+
+154
+00:11:55,480 --> 00:12:00,100
+.. بي و بي cross ال بي V هي cross ال بي او cross
+
+155
+00:12:00,100 --> 00:12:04,180
+ال بودكت كيف بيعمل cross ال بودكت هي شباب بيدربوا
+
+156
+00:12:04,180 --> 00:12:07,020
+في قوس هاد يدربوا في هاد cross ال بودكت ايش بيطلع
+
+157
+00:12:07,020 --> 00:12:11,380
+سيفر بره لأن I cross ال I هو Zero او I cross ال J
+
+158
+00:12:11,380 --> 00:12:18,270
+K وفيه ناقص صار ناقص K إذا انتوا لماشيأضرب فضربت
+
+159
+00:12:18,270 --> 00:12:24,030
+ناقص one point six هدى في هدى ماضربتش هدى مش واحد
+
+160
+00:12:24,030 --> 00:12:27,710
+يقول يبقى خير و انا وديت هدى و هدى و انا راح لأنه
+
+161
+00:12:27,710 --> 00:12:32,570
+I cross ال I zero فضربت هدى في هدى تمام I cross ال
+
+162
+00:12:32,570 --> 00:12:36,630
+G طلع K و هنا في ناقص طلع ناقص K انتوا ببيجوا نفس
+
+163
+00:12:36,630 --> 00:12:39,850
+العملية ال E بتطلع نفس النتيجة انا بدون ما استخدم
+
+164
+00:12:39,850 --> 00:12:44,040
+ال E طلعت النتيجة في مشكلة؟هذه أسئلة وهذه مثال
+
+165
+00:12:44,040 --> 00:12:51,620
+كثير سهل تطبيق فقط على القانون تمام طبعا كيف ننزيج
+
+166
+00:12:51,620 --> 00:12:55,620
+قانون ننزيج نقول اتجاه القوة لازم اعرف اتجاه القوة
+
+167
+00:12:55,620 --> 00:12:59,700
+كيف اما بعصابيعي بس انتهلها او cross product
+
+168
+00:12:59,700 --> 00:13:04,800
+بطلحها تمام هجيب اننا نخش بترسيل الحركة تبع
+
+169
+00:13:04,800 --> 00:13:12,370
+الشحنات اتفقنا انه ان ماعلمتينإن الأول لازم يكون
+
+170
+00:13:12,370 --> 00:13:16,370
+فيه تسرق لأنه فيه قوة يعني لازم ال velocity must
+
+171
+00:13:16,370 --> 00:13:19,670
+be changed والمعلومة التانية ال speed must be
+
+172
+00:13:19,670 --> 00:13:23,550
+constant صحيح ولا لأ؟ هذه العركة كيف بدها تصير؟
+
+173
+00:13:23,550 --> 00:13:25,990
+بقول emotion of a charged particle in magnetic
+
+174
+00:13:25,990 --> 00:13:29,430
+field ادرسليها بقول in the previous section اللي
+
+175
+00:13:29,430 --> 00:13:33,390
+خلصته أنا we said that the static magnetic force
+
+176
+00:13:33,390 --> 00:13:36,470
+could not alter the speed of the particle alter
+
+177
+00:13:36,470 --> 00:13:41,020
+يعني change بتغيرش ال speed of the particleلذلك
+
+178
+00:13:41,020 --> 00:13:44,520
+السرعة لا تتغير، فالضرر يتسوّق القوة وتغير
+
+179
+00:13:44,520 --> 00:13:47,600
+الاتجاه، لذلك الشيء الوحيد اللي يمكن فعله القوة
+
+180
+00:13:47,600 --> 00:13:52,960
+المغناطية هي تغيير اتجاه السرعة،
+
+181
+00:13:55,330 --> 00:13:58,690
+تمام؟ حلو؟ the acceleration therefore is
+
+182
+00:13:58,690 --> 00:14:02,750
+centripetal واللي لما يتغير فقط ال direction بيكون
+
+183
+00:14:02,750 --> 00:14:06,170
+عندي اتصاله .. بسميه اتصاله مركزي .. ده من ناتج من
+
+184
+00:14:06,170 --> 00:14:09,870
+تغير ال direction الcentripetal acceleration ..
+
+185
+00:14:09,870 --> 00:14:12,290
+كنا زمان نبتدي نجيبها السؤال في المقر بالتشويز
+
+186
+00:14:12,290 --> 00:14:15,710
+نقول .. the centripetal acceleration is due to the
+
+187
+00:14:15,710 --> 00:14:18,990
+change of what؟ the direction of the velocity
+
+188
+00:14:19,420 --> 00:14:23,440
+مازالت بيردش فقط هو بتغير؟ إذا التصرع قطعا مركزي
+
+189
+00:14:23,440 --> 00:14:28,090
+طب إذا التصرع مركزي القوة إيش بيبقى؟ مركزييقول إن
+
+190
+00:14:28,090 --> 00:14:33,890
+الهجوم قوى مركزية و كذلك القوة المركزية هذا يعني
+
+191
+00:14:33,890 --> 00:14:37,810
+أن مجلد محرك يتحرك في طريق مجلد مجلد مجلد مجلد
+
+192
+00:14:37,810 --> 00:14:38,030
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+193
+00:14:38,030 --> 00:14:38,530
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+194
+00:14:38,530 --> 00:14:41,330
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+195
+00:14:41,330 --> 00:14:42,310
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+196
+00:14:53,200 --> 00:14:56,920
+هذه الحركة تطبع أن الجواص ميت ألف شكل له وليس كل
+
+197
+00:14:56,920 --> 00:14:59,960
+جواص عبارة عن دائرة الدائرة يزق من القواص يعني نوع
+
+198
+00:14:59,960 --> 00:15:03,660
+معين من القواص تمام بقول وقتش يكون الحركة دورانية
+
+199
+00:15:03,660 --> 00:15:07,780
+مظبوط بقول if the magnetic field is uniform and
+
+200
+00:15:07,780 --> 00:15:11,420
+the initial velocity of the particle is normal to
+
+201
+00:15:11,420 --> 00:15:16,160
+the direction of B أو V وB متعمدين لما يقول V وB
+
+202
+00:15:16,160 --> 00:15:20,000
+متعمدين ايه الصراحة في cross production بقى؟سنة
+
+203
+00:15:20,000 --> 00:15:24,240
+تسعين جدا واحد إذا P و P متعاملين بيقول في هذه
+
+204
+00:15:24,240 --> 00:15:28,280
+الحالة the particle will move in a circle بصي عندك
+
+205
+00:15:28,280 --> 00:15:32,580
+حركة دورانية منتظمة نسميناها زمان في القوة
+
+206
+00:15:32,580 --> 00:15:37,000
+المنتظمة بيقول إن هذه بيساوي MV تربيه على R فده دي
+
+207
+00:15:37,000 --> 00:15:40,020
+هذي بتساقط المركزي هي القانون اللي بيضحكوه الآن
+
+208
+00:15:41,250 --> 00:15:44,410
+مافيش قانون جديد since the magnetic force is
+
+209
+00:15:44,410 --> 00:15:47,150
+always perpendicular to both v and b the circle in
+
+210
+00:15:47,150 --> 00:15:51,070
+a plane is a plane normal to the direction of the
+
+211
+00:15:51,070 --> 00:15:53,570
+magnetic field ده دي .. ده دي اللي بنشوفها now we
+
+212
+00:15:53,570 --> 00:15:58,230
+have f بتسوي q v cross ال b و بتسوي mv تربيع على a
+
+213
+00:15:58,230 --> 00:16:03,310
+بما أنه قوة centripetal إذا بتتصرف centripetal و
+
+214
+00:16:03,310 --> 00:16:05,490
+التصرف على الcentripetal بتسوي v تربيع على a
+
+215
+00:16:05,490 --> 00:16:09,470
+القانون اللي عرفناها من أول فدهوطيب لو V و V
+
+216
+00:16:09,470 --> 00:16:14,590
+متعامدات نصيحة القانون V و V متعامدات و بيقولك نصا
+
+217
+00:16:14,590 --> 00:16:17,870
+ان V and B is perpendicular عشان تقولك روح ال game
+
+218
+00:16:17,870 --> 00:16:23,990
+لكس الوضع طب الأهمش هاد ال V بتطيع هادي لو قولك او
+
+219
+00:16:23,990 --> 00:16:28,370
+دي ضعف يدك تجيبها بدك B بتجيبها بدك V بتجيبها اللي
+
+220
+00:16:28,370 --> 00:16:31,030
+بدك ايه انها دي معادلة بتجيبها المهم ايش اعطيك و
+
+221
+00:16:31,030 --> 00:16:34,090
+ايش يقولك مجهول بس ال spirit of diversity صح؟ من
+
+222
+00:16:34,090 --> 00:16:39,240
+حكى انها velocity؟عشان انا شوية جيبلي a cross ال b
+
+223
+00:16:39,240 --> 00:16:44,880
+و اكتبليها كصيغة بجلد ال sign تكتب
+
+224
+00:16:44,880 --> 00:16:52,760
+a b sine الزاوية ايش هذي مش انك تعمل هيك اصلا هي
+
+225
+00:16:52,760 --> 00:16:57,640
+ال magnitude of the velocity وهي this speed تمام؟
+
+226
+00:16:57,640 --> 00:16:59,860
+بس لو حولتها ل sine و cosine بطلت فيها عندك
+
+227
+00:16:59,860 --> 00:17:04,780
+vectors احنا لما تقول a بطل b ايه بيساوي
+
+228
+00:17:07,670 --> 00:17:10,630
+بكسان الزاوية إذا magnitude of a في magnitude of b
+
+229
+00:17:10,630 --> 00:17:15,410
+في كسان الزاوية a cross ال b magnitude of a في
+
+230
+00:17:15,410 --> 00:17:19,350
+magnitude of b في sin الزاوية مجرد عدد ال sin
+
+231
+00:17:19,350 --> 00:17:21,330
+يخلقوا magnitude على طول تمام
+
+232
+00:17:24,090 --> 00:17:29,150
+عامل هنا بقدر اخلع نص القطر طب لو قالك اوضد ال
+
+233
+00:17:29,150 --> 00:17:34,050
+angular velocity او ال frequency بتقدر تجيبه ال
+
+234
+00:17:34,050 --> 00:17:38,630
+frequency مع مين برضه؟ بتبقى معاه كمية ما هو زمان
+
+235
+00:17:38,630 --> 00:17:44,510
+مش موجود مع omega و omega مش مربوط مع هدول مش
+
+236
+00:17:44,510 --> 00:17:48,230
+omega بسبب V4 لو جيبت omega بتقدر تجيب ال
+
+237
+00:17:48,230 --> 00:17:51,040
+frequency بتقدر تجيب الزمان الدوريطب اذا انا عرفت
+
+238
+00:17:51,040 --> 00:17:54,660
+هذه الانجلال الفيكوانسي انت بيري دي الموشيين ار
+
+239
+00:17:54,660 --> 00:17:57,520
+اوميجا بدي ابيع الار و الامد دي بزمن الدوري برضه
+
+240
+00:17:57,520 --> 00:18:00,300
+بدي ابيعه هذه المعلومات السابقة موجودة مافيش فيها
+
+241
+00:18:00,300 --> 00:18:05,180
+اي مشكلة لحد الان ماعندي القانون الوحيد اف ساوي
+
+242
+00:18:05,180 --> 00:18:09,520
+كيو فيكو سربيه الاف مركزية هذه مش معلومة جديدة ان
+
+243
+00:18:09,520 --> 00:18:12,900
+بيه تربيع على ا معلومة سابقة ومعروفة اذا مافيش
+
+244
+00:18:12,900 --> 00:18:15,900
+عندي اي معلومات بس المعلومة اللي خدتها انه لازم
+
+245
+00:18:15,900 --> 00:18:18,820
+الحواكب تكون دورانية عشان كده بقدر اكتب هذا شكل من
+
+246
+00:18:18,820 --> 00:18:24,480
+المعادلةطبعا كيف بدي أعرف الجسم التفاقنا بدي دور
+
+247
+00:18:24,480 --> 00:18:26,880
+طب بدي دور مع أقرب الساعة و لا ضد أقرب الساعة
+
+248
+00:18:26,880 --> 00:18:30,780
+بأتمل على تجاه المجال و على نقطة الشحنة صح ولا لأ
+
+249
+00:18:30,780 --> 00:18:34,060
+خلينا نجربك التالي هل عندي مجال يبين جده و يبين
+
+250
+00:18:34,060 --> 00:18:38,280
+اتجاهه cross يعني ايش ال federation هل عندي شحنة
+
+251
+00:18:38,280 --> 00:18:42,000
+موجبة كيب المينة و ايه جيه الكيب ده تتحرك مع أقرب
+
+252
+00:18:42,000 --> 00:18:44,480
+الساعة و لا ضد أقرب الساعة كيف بدي أعرفه من أيديكم
+
+253
+00:18:44,480 --> 00:18:48,100
+اتجاه الأيدي اللي أخدته في المدارس معصر
+
+254
+00:18:54,550 --> 00:18:58,410
+لأ انت بيقولي الصورة عين .. انت اهو كده بتتحرك ..
+
+255
+00:18:58,410 --> 00:19:01,310
+انا بقولك كده بتتحرك .. هي اهو الصورتها .. انتش
+
+256
+00:19:01,310 --> 00:19:04,250
+اللي عارفه .. بيه معروف او مش معروف .. فمن يقولي
+
+257
+00:19:04,250 --> 00:19:09,710
+قداش أفوان تجاهها ..
+
+258
+00:19:09,710 --> 00:19:14,390
+اللي انا بتقولك هو ده افوه .. centripetal .. ليه
+
+259
+00:19:14,390 --> 00:19:20,200
+سميتها centripetal انا ..سمّتها مركزية لكن غايه ان
+
+260
+00:19:20,200 --> 00:19:23,200
+انا أسميها مركزية و انا أسلم نتجاه المركزي طيب مين
+
+261
+00:19:23,200 --> 00:19:25,800
+هو .. مين بيبدأ على قوم الشهداء؟ بيبدؤوا على
+
+262
+00:19:25,800 --> 00:19:33,200
+المركز و .. و اتنى اصابيهم مع المجال يلّا مال انت
+
+263
+00:19:33,200 --> 00:19:42,080
+ذاك حول اليوم؟ شباب ادهاركم من دفوع المركزي عشان
+
+264
+00:19:42,080 --> 00:19:45,800
+اقعدني هيك اصابيهم كله كله اذا كذا اصابني الأربعة
+
+265
+00:19:45,800 --> 00:19:52,540
+بضعة قارب الساعةلازم تكون ضد عقارب الساعة، مظبوط
+
+266
+00:19:52,540 --> 00:20:00,360
+او لا؟ قاعد؟ ابهامكم مع المركز، لأنه تجاه القوة
+
+267
+00:20:00,360 --> 00:20:06,000
+المركزية، بدياكم تعرفوا تتنو into the beige مع
+
+268
+00:20:06,000 --> 00:20:11,080
+المجال، كيف لازم تكون متوجهين؟ عكس عقارب الساعة،
+
+269
+00:20:11,080 --> 00:20:13,900
+طيب لو لت مجال out of the beige، طلعوا عليه كيف
+
+270
+00:20:13,900 --> 00:20:16,620
+يكون؟ out of the beige، كيف تعملوا الادارة؟
+
+271
+00:20:23,990 --> 00:20:27,850
+مظبوط عشان اتي هيك شباب و بيكون هاد هيك هيك لازم
+
+272
+00:20:27,850 --> 00:20:32,870
+يكون صح لازم يكون ايدي هيك ايدي هيك ماتويش معاقلة
+
+273
+00:20:32,870 --> 00:20:35,150
+بالساعة ولا لأ لإن ابهامي لازم يكون في اتجاه
+
+274
+00:20:35,150 --> 00:20:38,030
+المركز قطعا و انا بدي أتى لو كان هدي out و انا out
+
+275
+00:20:38,030 --> 00:20:40,770
+of the page اذا لازم يكونوا أصمي ايه هيك مفهوش
+
+276
+00:20:40,770 --> 00:20:44,030
+يكونوا هيك لو كانوا هيك صراعيش ابهامي مش اتجاه
+
+277
+00:20:44,030 --> 00:20:46,590
+المركز فارح؟ اذا ..
+
+278
+00:20:55,100 --> 00:20:59,960
+عشان تظبطوا معاكم بالظبط و تعرفوها حطوا هادي جناد
+
+279
+00:20:59,960 --> 00:21:07,500
+الصحة هل جيت المال القوة المركزية كيف اتجاهها I
+
+280
+00:21:07,500 --> 00:21:09,340
+ولا J ولا Q ولا نقص I
+
+281
+00:21:12,340 --> 00:21:17,320
+بتساوي Q V X B طب أنا انا هعمل شو احنا بيجيبها هد
+
+282
+00:21:17,320 --> 00:21:21,980
+يقف التفاق من نقص R بتساوي .. هد بقفهاش V X
+
+283
+00:21:21,980 --> 00:21:40,260
+بيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكي
+
+284
+00:21:43,950 --> 00:21:49,130
+أنا بدي أضرب حاجة في الـK و يطلع معايا I لو ضربت J
+
+285
+00:21:49,130 --> 00:21:55,830
+في الـK بيطلع out J في الـK إذا القوة الأعلى مزان
+
+286
+00:21:55,830 --> 00:21:58,570
+الأعلى هو هنا إذا دُع قارب الساعة دي كمين ولا
+
+287
+00:21:58,570 --> 00:22:04,070
+ماعنى؟ دُع قارب الساعة طبع واحد جالي طبع انت لاش
+
+288
+00:22:04,070 --> 00:22:09,170
+خد تانى خدها هنا طبعكم صح؟ لو كانت هنا كيف رفضت
+
+289
+00:22:09,170 --> 00:22:18,670
+تكون السرعة؟ ناقص Iنقص I القوة كيف؟ القوة نقص J،
+
+290
+00:22:18,670 --> 00:22:24,610
+بدأ يصير هذه نقص J، وهذه نقص K، نقص مع نقص أعلى،
+
+291
+00:22:24,610 --> 00:22:30,990
+بدأ يكون عندي، بدأ أضغط في K يطلع Jلو جوابت K في
+
+292
+00:22:30,990 --> 00:22:36,050
+I، بدها تكون I في K، دي السعري، بيديها السعري في
+
+293
+00:22:36,050 --> 00:22:40,870
+I، اللي بتلعب هيك، لو اكتملوا لكن أصبعكم، الأربعة
+
+294
+00:22:40,870 --> 00:22:45,270
+بتجيبها على طول، لو ماكنش طبعا طول بديكم، كانوا
+
+295
+00:22:45,270 --> 00:22:49,270
+قادلين، فبنبط معاكم، بتطلع معاكم، حق، مديش إياكم
+
+296
+00:22:49,270 --> 00:22:52,270
+أنت بتلف واحد يقولي بدي ألف عصابي عيك، ملتفوا إيه
+
+297
+00:22:52,270 --> 00:22:56,230
+عصابيكم؟ قد منتميوا هيكمش واحد يقولها يوم تانو ..
+
+298
+00:22:56,230 --> 00:23:01,210
+ضبطك معاه .. continue الشيء .. مع طبيعته .. تمام
+
+299
+00:23:01,210 --> 00:23:04,570
+.. هذه المعلومة هيكتر .. بس يا رب بقولك من ال
+
+300
+00:23:04,570 --> 00:23:08,650
+sense .. تعالي أفهم .. ال sense of rotation can be
+
+301
+00:23:08,650 --> 00:23:11,590
+determined again from the right hand rule .. نفس
+
+302
+00:23:11,590 --> 00:23:14,950
+القضية .. بيقول .. the thumb must now point
+
+303
+00:23:14,950 --> 00:23:18,850
+towards the center .. ليش؟ بيقول .. the elevation
+
+304
+00:23:18,850 --> 00:23:22,440
+of the force ..لأن الـ force is centrimetal
+
+305
+00:23:22,440 --> 00:23:25,740
+..centrimetal يعني باتجاه المركز .. عشان كده سمّت
+
+306
+00:23:25,740 --> 00:23:29,540
+القوة مركزية .. لإن دائما points towards the
+
+307
+00:23:29,540 --> 00:23:33,580
+centers .. if P is directed into the page زمان هي
+
+308
+00:23:33,580 --> 00:23:36,400
+مرسومة .. a positive charge will rotate counter
+
+309
+00:23:36,400 --> 00:23:41,400
+clockwise .. فبالواقع نجاتي الفحصوالانجليزي يتشاجر
+
+310
+00:23:41,400 --> 00:23:45,840
+بروتين كلوك و عزيزي فاهمة الشباب هذه كيف بتلف طبعا
+
+311
+00:23:45,840 --> 00:23:48,220
+كيف تعملوها تطلع نفس الشغل عادي تعملوها كرسي
+
+312
+00:23:48,220 --> 00:23:52,000
+بوردكت عادي IGUJ و كده او تستخدمو ايدكو مليونة
+
+313
+00:23:52,000 --> 00:23:55,660
+تطلع نفس القضية هذه بس هيك
+
+314
+00:24:12,800 --> 00:24:17,380
+طبعا شغال الحركة بتكون دائرة فقط في عندى شرطين انه
+
+315
+00:24:17,380 --> 00:24:22,660
+B تكون Uniform و B متعامدات و B نصف غير كده احنا
+
+316
+00:24:22,660 --> 00:24:27,480
+مش معنين فيها طبعا في الأمور المتقدمة .. في الأمور
+
+317
+00:24:27,480 --> 00:24:30,880
+المتقدمة بيقولوناش هذا الكلام بيقولك اثبت انها
+
+318
+00:24:30,880 --> 00:24:34,560
+دائرة طب احنا بنعرف كيه بدي اثبت بيقولك اشتغل
+
+319
+00:24:34,560 --> 00:24:37,300
+رياضيات و طلع معادلة الدائرة بتعرف معادلة الدائرة؟
+
+320
+00:24:44,110 --> 00:24:54,050
+أو او x-a تربيه زاد y-b تربيه بيسوي a تربيه على
+
+321
+00:24:54,050 --> 00:24:58,830
+أساس ان ال a بيكون a سبعة السلطة مظلوة او لا؟ وكيف
+
+322
+00:24:58,830 --> 00:25:03,370
+انت تثبت انها بيه تقول كده؟ مش انت بتقول f بيسوي q
+
+323
+00:25:03,370 --> 00:25:08,460
+v cross بيهمفروض ان احد المتعمدين ينصر فيك ويقول
+
+324
+00:25:08,460 --> 00:25:15,460
+له هذا كيف يتعمل اقول him dv على dk وهذه تبدأ
+
+325
+00:25:15,460 --> 00:25:18,720
+تشتغل فيها معادلة تفضلية وتتكامل وتعمل تطلع هذا
+
+326
+00:25:18,720 --> 00:25:23,140
+المعادلة معكطبعا احنا بنعملها سنة تالتة بنعملها و
+
+327
+00:25:23,140 --> 00:25:25,860
+بالثباتها بتطلع عندى معادلة هدى ألف بتشتريها
+
+328
+00:25:25,860 --> 00:25:29,400
+بخطوطين بس شوية differential equation اللى بيعرفه
+
+329
+00:25:29,400 --> 00:25:32,240
+differential equation بتطلع معاه البعادلة بس احنا
+
+330
+00:25:32,240 --> 00:25:37,810
+اللى انا مقتنعين ماذا اللى speak ثابتةأذا قطعا
+
+331
+00:25:37,810 --> 00:25:41,030
+التصارع المركزي مازال تصارع مركزي ده حاجة دورانية
+
+332
+00:25:41,030 --> 00:25:44,490
+انتهت هل بيبقى غزبتها رياضيا؟ بيقولك كده غزبتها
+
+333
+00:25:44,490 --> 00:25:49,090
+جاي قلب لو كانت V وB مش متعمدين بينهم زاوية إيش
+
+334
+00:25:49,090 --> 00:25:54,770
+بيطلع؟ ده لك بيطلع معادلة الهليكس شكل حزوني وهدي
+
+335
+00:25:54,770 --> 00:25:58,330
+برضه إيه معادلة رياضية بتطلع معاك برضه لو كانت V
+
+336
+00:25:58,330 --> 00:26:02,510
+وB مش متعمدينهذه خلصنا منها فهي طبعا ال F و ال V
+
+337
+00:26:02,510 --> 00:26:05,750
+طبعا ان ال F مركز يقعط عنه و ال V تاني هي الكوكب
+
+338
+00:26:05,750 --> 00:26:09,440
+تعرفوهيقول if the velocity of the charged particle
+
+339
+00:26:09,440 --> 00:26:12,440
+and the magnetic field are not perpendicular مكنوش
+
+340
+00:26:12,440 --> 00:26:16,700
+متعامدين وبالتالي فيه صيني الزاوية the birth of a
+
+341
+00:26:16,700 --> 00:26:21,040
+helix whose axis is parallel to B بيكون helix بس
+
+342
+00:26:21,040 --> 00:26:25,460
+إيش هي دائرة بس إيش helix هو دائرة تنشيت صح ولا لأ
+
+343
+00:26:25,460 --> 00:26:30,320
+لما الدائرة هي حالة دوامية بس بتتحرك فبتشكل شكلها
+
+344
+00:26:30,320 --> 00:26:33,580
+ألزوني زي الظلمة الظلمة بالظبط بيكون هيك شكلها
+
+345
+00:26:33,580 --> 00:26:37,270
+وهذا اتجاه الصلاة يا شبابتكون تتحول، لكن لما يكون
+
+346
+00:26:37,270 --> 00:26:41,390
+متعاندين، تصير لأ السرعة بضارة أكتر، المركز بيغيرش
+
+347
+00:26:41,390 --> 00:26:45,430
+زي لما يكون السرعة مش متعاندة، مش مهم، تشوف رقم
+
+348
+00:26:45,430 --> 00:26:50,140
+السرعةفقضيق مباشر، شوفوا الأمثلة أغلبها كثير سهلة
+
+349
+00:26:50,140 --> 00:26:56,980
+بيقول الإلكترون جسمه شحنته ثاني بأو لا؟ ثاني بأو
+
+350
+00:26:56,980 --> 00:26:57,240
+لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني
+
+351
+00:26:57,240 --> 00:26:58,620
+بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟
+
+352
+00:26:58,620 --> 00:26:59,220
+ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو
+
+353
+00:26:59,220 --> 00:27:01,760
+لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني
+
+354
+00:27:01,760 --> 00:27:06,100
+بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟
+
+355
+00:27:06,100 --> 00:27:13,360
+ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأوأصلا صراعة أما
+
+356
+00:27:13,360 --> 00:27:17,160
+هو كان في الأول ساكن هطلق اجري جباله و شحنه موجة
+
+357
+00:27:17,160 --> 00:27:21,420
+بقى اجري اجري صراعة بعد بوصل هنا دخلت مجال
+
+358
+00:27:21,420 --> 00:27:25,820
+مغناطيسي it then enters a region of uniform
+
+359
+00:27:25,820 --> 00:27:29,240
+magnetic field and follows a circular path طبعا
+
+360
+00:27:29,240 --> 00:27:33,640
+بدي اتحرك حاجة دورانية ما اتفقنا of radius 7.5 cm
+
+361
+00:27:33,640 --> 00:27:36,980
+و ذاك ال radius if its velocity is perpendicular
+
+362
+00:27:36,980 --> 00:27:40,340
+to b اللي قصة بوداك روحت تمام هي أعطاك المعلومة
+
+363
+00:27:40,340 --> 00:27:44,750
+كاملة إيش بده؟تقولي لـ magnitude of P، بدّو P،
+
+364
+00:27:44,750 --> 00:27:48,530
+بدّو P، the angular speed of the electron، بدّو
+
+365
+00:27:48,530 --> 00:27:54,970
+Omega، P القانون المعروف في ده، U, V, P، راح تقصه
+
+366
+00:27:54,970 --> 00:28:00,190
+بدا، فالحياة خلّت، بالثوري، M، V تربيع، عقلها،
+
+367
+00:28:00,190 --> 00:28:04,870
+بقلة، تمام، هذه الـV تربيع راح اتبع حالي، هذا ال
+
+368
+00:28:04,870 --> 00:28:05,970
+electrode، الـQ بتعرفوها؟
+
+369
+00:28:08,780 --> 00:28:12,080
+عرضه بأي مودة؟ أرض؟ أعطيكم إياها ولا لا؟ ماعطيكم
+
+370
+00:28:12,080 --> 00:28:15,220
+إياها .. تقوموا بدّوا بيه .. إيش بدّي؟ لازم بدّي
+
+371
+00:28:15,220 --> 00:28:19,460
+فيه .. بدّي فيه .. مش بدّيني دي .. لأن هذا اللي
+
+372
+00:28:19,460 --> 00:28:23,360
+صرعوا .. قلتلي أحطه شحنه مودة .. بعدده فرق جهود ..
+
+373
+00:28:23,360 --> 00:28:26,820
+فرق الجهود .. كيف بدي أجيبه؟ في خلاقة بين فرق
+
+374
+00:28:26,820 --> 00:28:31,120
+الجهود و ال potential energy؟ صح ولا لا؟
+
+375
+00:28:34,480 --> 00:28:38,820
+في علاقة بين دلتا U و كيناتك إينارجي دلتا U زي
+
+376
+00:28:38,820 --> 00:28:41,740
+دلتا K بتساوي سفر ولا لأ طب و إذا جيبت كيناتك
+
+377
+00:28:41,740 --> 00:28:44,360
+إينارجي جيبت الصراحة لما جيبتش الصراحة إذا إذا جيب
+
+378
+00:28:44,360 --> 00:28:48,780
+الصراحة بهذه الطريقة تمام؟ بيقول ياسوري يرشد to
+
+379
+00:28:48,780 --> 00:28:54,000
+find the speed of the electronأبدا ليش اسمه جاهزة؟
+
+380
+00:28:54,000 --> 00:28:57,500
+جالي و لا بطه ماعرف جالي انا عندي قرون بيقول delta
+
+381
+00:28:57,500 --> 00:29:01,360
+k زي دالتا u بتساوي صفر ذاكرينه؟ delta k زي دالتا
+
+382
+00:29:01,360 --> 00:29:04,440
+u بتساوي صفر او كنا نسميه w and c و مافيش احتكاك
+
+383
+00:29:04,440 --> 00:29:07,500
+على w and c بتساوي صفر اذا delta k زي دالتا u
+
+384
+00:29:07,500 --> 00:29:11,660
+equal to zero اذا delta k equal delta u بالثالث
+
+385
+00:29:11,660 --> 00:29:18,060
+فهي دي بتساوي q دالتا v هي دي الحالة حقا لأ تمام
+
+386
+00:29:18,060 --> 00:29:24,900
+ال q مش عاود عنكسالب E عشان هو Electron إذا بدّي
+
+387
+00:29:24,900 --> 00:29:27,540
+الـQ هذي بحث سلب E إيه الصورة اللي بحث سلب هذي
+
+388
+00:29:27,540 --> 00:29:32,640
+بالعالم؟ و الـE بعرفها ولا بعرفهاش؟ بعرفها و
+
+389
+00:29:32,640 --> 00:29:36,800
+capital V هنا 350 Volt
+
+390
+00:29:44,110 --> 00:29:49,150
+إذا دخل المجال المهماطيسي بالسرعة هذه اللي أنا بدي
+
+391
+00:29:49,150 --> 00:29:53,310
+إياها نص أن فيه تربيح بسوء E في V سالب مع سالب
+
+392
+00:29:53,310 --> 00:29:57,410
+واحد E و capital V اللي هو فرق الجود اللي أتاني
+
+393
+00:29:57,410 --> 00:30:07,910
+إياه حلو؟ إذا طلعت Vبتساوي 2E V على M 2 في 1.6
+
+394
+00:30:07,910 --> 00:30:13,330
+10⁻19 V is given and M is the mass of electron and
+
+395
+00:30:13,330 --> 00:30:20,690
+it is also given 9.11 10⁻31وبتطلع السرعة 1.1 into
+
+396
+00:30:20,690 --> 00:30:24,050
+powers of N طبعا سرعة كبيرة سرعة X1 تيجي سرعة
+
+397
+00:30:24,050 --> 00:30:28,230
+كبيرة جدا لأنها دخلت المجال المناطيسي دخلت لفة أول
+
+398
+00:30:28,230 --> 00:30:32,010
+ما دخلت لفة نصف قطر مقطع بجري جي بيه لأن السرعة
+
+399
+00:30:32,010 --> 00:30:39,030
+صارت نقطية بقول الآنبسوء N V على QR من هذا القرن
+
+400
+00:30:39,030 --> 00:30:45,470
+وليس من هذا القرن وغيره P بسوء N V على QR 8.4 X
+
+401
+00:30:45,470 --> 00:30:51,160
+10⁻⁴ Tesla طبعا ال Tesla شباب واحدة كبيرةفالتسلا
+
+402
+00:30:51,160 --> 00:30:53,900
+واحدة كبيرة لما اقول انا عندي واحد تسلا يعني
+
+403
+00:30:53,900 --> 00:30:56,920
+المجال مقاطسي قوي عشان كده غالبا بيستخدموا ال gas
+
+404
+00:30:56,920 --> 00:31:00,320
+لإن هو أصغر شوية فالتسلا واحدة كبيرة يعني لما أقول
+
+405
+00:31:00,320 --> 00:31:06,200
+واحد تسلا مقداره كبير وين قلت لك مني اللي أخدت
+
+406
+00:31:06,200 --> 00:31:08,500
+الموجة أبدا؟ ماعايز ساربها لو واحد ما سارب لها
+
+407
+00:31:08,500 --> 00:31:14,600
+ماخلص ماعود محل اللي هنا ماخدتاش يعني انا قاعد
+
+408
+00:31:14,600 --> 00:31:20,550
+بديب بي ك magnitude بديباش ال directionthe angular
+
+409
+00:31:20,550 --> 00:31:25,750
+speed omega بيساوي V على R و بطلها omega عادي زى
+
+410
+00:31:25,750 --> 00:31:28,710
+ما تشوفين الحياة دلوقت الأسئلة مافيش فيها أي مشكلة
+
+411
+00:31:28,710 --> 00:31:36,210
+تطبيق مناشر قانون وحيد Q في V كرسى B بيساوي FM ال
+
+412
+00:31:36,210 --> 00:31:41,610
+magnetic force هذه تحصيل حاصل الام magnetic force
+
+413
+00:31:41,610 --> 00:31:45,570
+on a current carrying wire تقول لي هو الشحنات أنا
+
+414
+00:31:45,570 --> 00:31:49,720
+أمري شفتهاأنا إيش اللي بحس فيه؟ هذا الضوء، بقول
+
+415
+00:31:49,720 --> 00:31:53,420
+فيه شحنات ولا فيه تيار في الآخر؟ تيار، طبعا التيار
+
+416
+00:31:53,420 --> 00:31:56,580
+ظلم أن مافيه شحنات متحركة، صح ولا لأ؟ إذا أنا بدي
+
+417
+00:31:56,580 --> 00:32:01,720
+قانون بدلالة التيار، التيار يعني فيه سلك، صح ولا
+
+418
+00:32:01,720 --> 00:32:05,940
+لأ؟ فبيقوللي أوجدلي magnetic force on a current
+
+419
+00:32:05,940 --> 00:32:11,440
+carrying wire لسلك يحمل تيار، حلو، هاي السلك
+
+420
+00:32:14,230 --> 00:32:17,910
+بقول it is known that current is a collective of
+
+421
+00:32:17,910 --> 00:32:22,470
+moving charges of the same sign صح تمام this mean
+
+422
+00:32:22,470 --> 00:32:24,930
+that any current carrying wire experiences a
+
+423
+00:32:24,930 --> 00:32:29,350
+magnetic force اذا اي سلكي بيحمل تيار معاهده فيه
+
+424
+00:32:29,350 --> 00:32:34,090
+شحنات تتحرك موجودة في مجال اذا بدتكون عليها قوة
+
+425
+00:32:34,090 --> 00:32:37,760
+معطصية ولا لا خلنا نقول التالي يا شبابلو انا عندي
+
+426
+00:32:37,760 --> 00:32:42,540
+مصغورة فاضية بلاستيك محطوطة عليها الطاولة و بتتحرك
+
+427
+00:32:42,540 --> 00:32:47,180
+ايش ده business ساعتها؟ بتتحرك هيك؟ في حاجة جوا
+
+428
+00:32:47,180 --> 00:32:51,240
+انما مركوبة؟ او في حاجة جوا بتتحرك؟ صح ولا لا؟
+
+429
+00:32:51,240 --> 00:32:55,980
+خلونا ندى نفاقة بسيط، نعرخه، نطلع في الفران، نفترض
+
+430
+00:32:55,980 --> 00:33:01,400
+فيه خمس فران جوا، و بتتحركوا، بتدرسلت؟ ولا بتتحرك
+
+431
+00:33:01,400 --> 00:33:07,520
+معاهم؟ خلوا الفران هم الشحناتلو بدك يجيب قوة على
+
+432
+00:33:07,520 --> 00:33:13,320
+المصورة لو كل فار فيه قوة عليه خمسة نيوتن جدش
+
+433
+00:33:13,320 --> 00:33:17,420
+القوة الكلية و هم خمس فران خمس عشر نيوتن اذا انا
+
+434
+00:33:17,420 --> 00:33:20,340
+عشان اجيب القوة العسرى كي اعجبها انا اجيبها مثال
+
+435
+00:33:20,340 --> 00:33:23,100
+لو انت اقبصتها مصورة فيها فار و مصورة فيها خمس
+
+436
+00:33:23,100 --> 00:33:26,860
+فران مين أسرع؟ خمس فران خمس فران طبعا لحرقوها جوا
+
+437
+00:33:26,860 --> 00:33:30,940
+تمام حاجات الفران هم الشحنات فار
+
+438
+00:33:33,320 --> 00:33:35,840
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+439
+00:33:35,840 --> 00:33:39,100
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+440
+00:33:39,100 --> 00:33:41,080
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+441
+00:33:41,080 --> 00:33:45,560
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+442
+00:33:45,560 --> 00:33:45,680
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+443
+00:33:45,680 --> 00:33:46,100
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+444
+00:33:46,100 --> 00:33:46,300
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+445
+00:33:46,300 --> 00:33:47,480
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+446
+00:33:47,480 --> 00:33:54,920
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لاهذا
+
+447
+00:33:54,920 --> 00:34:00,460
+يعني أن الطيارة مجموعة من نشاطات محركة هنا الطيارة
+
+448
+00:34:00,460 --> 00:34:05,860
+مجموعة من كفرقة تمام؟ بتتحرك بنفس الاتجاه هذا يعني
+
+449
+00:34:05,860 --> 00:34:09,220
+أن أي طيارة تجارب تجارب تجارب تجارب تجارب تجارب
+
+450
+00:34:09,220 --> 00:34:09,440
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+451
+00:34:09,440 --> 00:34:09,760
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+452
+00:34:09,760 --> 00:34:10,300
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+453
+00:34:10,300 --> 00:34:12,400
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+454
+00:34:12,400 --> 00:34:16,720
+تجارب تجارب تجارب
+
+455
+00:34:17,970 --> 00:34:21,310
+Vector sum of the individual forces on that
+
+456
+00:34:21,310 --> 00:34:26,970
+charged particle هاي السلك وهي واحد من الفيران لما
+
+457
+00:34:26,970 --> 00:34:31,190
+انا بتحركك انا هجيب قوة بس ده فرواح فهذا بيكون جزء
+
+458
+00:34:31,190 --> 00:34:35,270
+من القوة يكون قوة فهذا الـD أتباعها DF طبعا عشان
+
+459
+00:34:35,270 --> 00:34:40,610
+اجيب F بشوف كامه؟ كام كذا فرواح كذا شو هنعملهم من
+
+460
+00:34:40,610 --> 00:34:43,590
+جميع ما يكونوا let us consider a straight portion
+
+461
+00:34:43,590 --> 00:34:49,920
+of wire هذا السلك مستقيموالشحنات المتحركة هي ايه؟
+
+462
+00:34:49,920 --> 00:34:54,800
+الشحنات المتحركة
+
+463
+00:34:54,800 --> 00:34:59,580
+هي ايه؟
+
+464
+00:34:59,580 --> 00:35:05,560
+الشحنات الموجية هي ايه؟ الشحنات المتحركة هي ايه؟
+
+465
+00:35:05,560 --> 00:35:14,200
+الشحنات المتحركة هي ايه؟ الشحنات الموجية هي ايه؟
+
+466
+00:35:14,200 --> 00:35:14,760
+الشحنات المتحركة هي ايه؟ الشحنات المتحركة هي ايه؟
+
+467
+00:35:14,760 --> 00:35:20,180
+الشحبيقول بـ magnetic force on a single charge DQ
+
+468
+00:35:20,180 --> 00:35:24,400
+moving with a drift vs VD is هذه VF بسلة شحنة
+
+469
+00:35:24,400 --> 00:35:29,540
+واحدة بسلة شحنة واحدة DQ V كسر V طيب كامل يلّا
+
+470
+00:35:29,540 --> 00:35:34,120
+نكامل بيقول بس كامل ما كامل خلينا نشتر شوية نجيبها
+
+471
+00:35:34,120 --> 00:35:37,140
+في درجة الطيارة في عندك معلومة بتقول DQ بسوء I DT
+
+472
+00:35:37,140 --> 00:35:42,240
+او I بسوء DQ على DT ولا لأ إذا نبدأ الـ DQ هذهبديك
+
+473
+00:35:42,240 --> 00:35:49,980
+تحط محلها I D T طيب حطيت محلها I D T طيب هدى سرعة
+
+474
+00:35:49,980 --> 00:35:54,820
+و هدى زمان سرعة و زمان ايش بيعطيك طب و المسافة
+
+475
+00:35:54,820 --> 00:36:04,280
+وينها طول السلك مظبوط ولا لأ اذا D T في V بيعطيك D
+
+476
+00:36:04,280 --> 00:36:11,220
+L جزء من السلك اللى هو تماملو ان ذات V في DT بيسوي
+
+477
+00:36:11,220 --> 00:36:17,100
+DL اللي هي الإزاعة اذا بيقولك صوت هيك I DL cross
+
+478
+00:36:17,100 --> 00:36:22,020
+ال B حلو جالي الآن for straight wires we can
+
+479
+00:36:22,020 --> 00:36:26,360
+integrate the last equation to obtain ايش تكامل ال
+
+480
+00:36:26,360 --> 00:36:32,560
+DL؟ ال تكامل ال DLL كملتها على اعتبار ان B is
+
+481
+00:36:32,560 --> 00:36:36,760
+uniform كملتها طيب هل دائما تكامل ال DLL؟
+
+482
+00:36:40,210 --> 00:36:43,470
+إلا إذا .. هذ طبعا الانجلة كانت كواسية إيه سيكمل
+
+483
+00:36:43,470 --> 00:36:48,770
+ال DX؟ X ماعادي طيب في ال physics مش دائما DX
+
+484
+00:36:48,770 --> 00:36:53,630
+بيسوي X لو كانت X is a vector quantity بتطلعها
+
+485
+00:36:53,630 --> 00:36:58,590
+بتسويش X لأنه قبل ما أكامل بنفع أكامل غير لما أحلل
+
+486
+00:36:58,590 --> 00:37:04,480
+بدي أحلل و لما أحلل مش في مراكبات بتضيق مراتأحنا
+
+487
+00:37:04,480 --> 00:37:07,380
+جيبناها في الامتحان عشان ما أضيعش و أنا مركبة اذا
+
+488
+00:37:07,380 --> 00:37:10,200
+انا جيبناها في الامتحان عشان انا اعرف من فهم من
+
+489
+00:37:10,200 --> 00:37:15,040
+نوع كامل انا لما نحلل و نحلل كامل مركبات صينية
+
+490
+00:37:15,040 --> 00:37:17,820
+لحالي و مركبات صغيرة لحالي بيقولوا لما يكون ال
+
+491
+00:37:17,820 --> 00:37:23,320
+straight wire نرجع للفران لما يكون السلك مستقيم مش
+
+492
+00:37:23,320 --> 00:37:26,160
+كل الفران بيكونوا في نفس اتجاه و لما يكونوا في نفس
+
+493
+00:37:26,160 --> 00:37:31,770
+اتجاه بيدحلل لأ لكن لو كان السلك هيكهيجيب الفارق
+
+494
+00:37:31,770 --> 00:37:34,430
+اللي هان و الفارق اللي هان لنفس السرعة ك direction
+
+495
+00:37:34,430 --> 00:37:37,230
+لأ هذا ال direction تبقى هكذا و هذا ال direction
+
+496
+00:37:37,230 --> 00:37:40,050
+تبقى هكذا مقبض تبقى مقبض لواحدة خمسة او تلاتة بقول
+
+497
+00:37:40,050 --> 00:37:44,570
+تمانية لأ إذا موقتيش انا بقول تكامل ال D اللي
+
+498
+00:37:44,570 --> 00:37:47,970
+بيساوي فقط لل straight wires طب لو مش straight
+
+499
+00:37:47,970 --> 00:37:53,010
+بقول ياخدشوف هذا قانون جديد الطب عايش بيفرج عن هذا
+
+500
+00:37:53,010 --> 00:37:59,420
+شباببس هو Q V X B القانون اللي جيت بدل ال Q إيش
+
+501
+00:37:59,420 --> 00:38:06,640
+حطيت I مش بجربه بعد بدل V حطيت L V سرعة و L إزاحة
+
+502
+00:38:06,640 --> 00:38:09,800
+برضه بينهم علاقة و لا لأ عشان القانونين أقدر
+
+503
+00:38:09,800 --> 00:38:15,680
+أحفظهم ال Q V X B و I L X B ال B ده لازمة هي بدل V
+
+504
+00:38:15,680 --> 00:38:21,940
+صدرتها بL و بدل Q صدرت بI إذا نفس القانونبقاله for
+
+505
+00:38:21,940 --> 00:38:27,760
+straight wires بس للأسدك المستقيمة طيب بيقول if
+
+506
+00:38:27,760 --> 00:38:30,040
+the wire is not straight إيش هسوي؟ قال خليه
+
+507
+00:38:30,040 --> 00:38:33,560
+يتكامل، يتكاملش، خليها يتكامل زي ما هي if the wire
+
+508
+00:38:33,560 --> 00:38:35,600
+is not straight we have to find the force on a
+
+509
+00:38:35,600 --> 00:38:39,840
+small segment and then integrate it هيكون القانون،
+
+510
+00:38:39,840 --> 00:38:43,400
+مش حتى جدالة كاملة طيب جينيك بتقول خلينا نكامله،
+
+511
+00:38:43,400 --> 00:38:47,590
+نجرب نكاملهتقول إيه P is uniform واحدة واحدة طلعلي
+
+512
+00:38:47,590 --> 00:38:51,510
+P برا التكامل على إعتبار أن P is uniform تمام؟ طلع
+
+513
+00:38:51,510 --> 00:38:55,170
+P برا إذا وقتين فقدرنا نطلع P برا لو كانت P
+
+514
+00:38:55,170 --> 00:38:59,410
+uniform ثابتة P تطلع حضارة التكامل عشان اللي طلع
+
+515
+00:38:59,410 --> 00:39:02,430
+حضارة التكامل لازم تكون ثابتة إذا P is uniform هيك
+
+516
+00:39:02,430 --> 00:39:08,070
+بصي الخانون تقول التكامل يدي L cross ال P هذا
+
+517
+00:39:08,070 --> 00:39:12,330
+التكامل vector هذا بيساوي L بقوله بيساويش L بيساوي
+
+518
+00:39:12,330 --> 00:39:18,070
+الشرطة مش هي الشرطة هذهخلّيني أجرب .. اه ببطارية
+
+519
+00:39:18,070 --> 00:39:21,550
+تساوي L .. وكيف تساوي L؟ لما يكون مستقيم .. هذا ما
+
+520
+00:39:21,550 --> 00:39:24,710
+نشوف .. و L .. هاي ايه؟ هاي ايه السلك؟ هم مستقيم
+
+521
+00:39:24,710 --> 00:39:30,310
+ولا مائل؟ كيف بدك تعمله؟ جيبولي دي L .. مش D L
+
+522
+00:39:30,310 --> 00:39:35,530
+يعني .. مش D L جزء .. أكم جزء هذا السلك فيه ..
+
+523
+00:39:35,530 --> 00:39:38,550
+خلّيني أجسم معاكم لعدة أجزاء .. هي أكم جزء عملت ..
+
+524
+00:39:38,550 --> 00:39:42,870
+هي D L أجزاءهذه الـ L's بنفع أجمعهم مع جميع عادي
+
+525
+00:39:42,870 --> 00:39:46,610
+هدول، هذي الـ D لعشان كله أجمعهم واحد، عشان أجمعهم
+
+526
+00:39:46,610 --> 00:39:53,850
+مش لازم أسوي، أكملهم، بدي أحللهم، يلا نحللهم مش
+
+527
+00:39:53,850 --> 00:39:58,830
+هي أحللتهم؟ شوفولي شباب المراكبات الاقتصادية يسار
+
+528
+00:39:58,830 --> 00:40:02,570
+فيها،
+
+529
+00:40:02,570 --> 00:40:09,860
+هذه لغت هذهو هذه لغت هذه و هذه لغت هذه و هذه لغت
+
+530
+00:40:09,860 --> 00:40:15,500
+هذه و هذه لغت هذه و هذه لغت هذه و هذه لغت هذه و
+
+531
+00:40:15,500 --> 00:40:19,240
+هذه لغت هذه و هذه لغت هذه و هذه لغت هذه و هذه لغت
+
+532
+00:40:19,240 --> 00:40:21,180
+هذه و هذه لغت هذه و هذه لغت هذه و هذه لغت هذه و
+
+533
+00:40:21,180 --> 00:40:21,940
+هذه لغت هذه و هذه لغت هذه و هذه لغت هذه لغت هذه
+
+534
+00:40:21,940 --> 00:40:22,580
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه
+
+535
+00:40:22,580 --> 00:40:22,620
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه
+
+536
+00:40:22,620 --> 00:40:22,660
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه
+
+537
+00:40:22,660 --> 00:40:30,420
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت
+
+538
+00:40:30,420 --> 00:40:32,120
+هذه لغت هذه
+
+539
+00:40:35,360 --> 00:40:38,180
+يجربوا يعملوهم البرق بيبقى ال point ال animation
+
+540
+00:40:38,180 --> 00:40:46,860
+هتطلع روحه و بيعمل فيهم بطول اه ايش طلع؟ الخط من
+
+541
+00:40:46,860 --> 00:40:51,800
+أول السلك لآخر السلك من أول السلك لآخر السلك اذا
+
+542
+00:40:51,800 --> 00:40:55,120
+طلع خط مستقيم من أول السلك لآخر السلك طيب لو
+
+543
+00:40:55,120 --> 00:40:58,700
+قلتلكم جديش ال و جديش ال شرطة كمقدار خليها دي نص
+
+544
+00:40:58,700 --> 00:41:04,480
+دائرة اعتبرها جديش الL مش L شرطة L المفروض لو
+
+545
+00:41:04,480 --> 00:41:10,040
+بيوجود طول الcourse مش باي فأه نص خطور نص محيط طب
+
+546
+00:41:10,040 --> 00:41:16,000
+و L شرطة هذه L طب L شرطة بيساوي بقى إذا تقطع تكامل
+
+547
+00:41:16,000 --> 00:41:19,400
+ال D L بيساوي L بيساوي L شرطة والشيء اللي شرطة
+
+548
+00:41:19,400 --> 00:41:24,100
+أكتر منها الآن is the straight line of from I to F
+
+549
+00:41:24,100 --> 00:41:27,160
+يعني من بداية السلك لنهاية السلك من بداية السلك
+
+550
+00:41:27,160 --> 00:41:29,500
+لنهاية السلك طيب هذا السلك
+
+551
+00:41:33,060 --> 00:41:38,180
+وإن إيه الشرطة؟ طب
+
+552
+00:41:38,180 --> 00:41:42,100
+كيف بتعرف أنا I ل F من I ل F؟ اللي بيخليني أقول
+
+553
+00:41:42,100 --> 00:41:46,900
+بداية و نهاية تجاه التيار فهذا معناته أنا من هنا
+
+554
+00:41:46,900 --> 00:41:50,740
+التيار ماشي فبقول هاي الشرطة لو التيار ماشي هيك
+
+555
+00:41:50,740 --> 00:41:53,360
+بقول هاي initial و هاي ال final إذا I و F اللي
+
+556
+00:41:53,360 --> 00:41:58,300
+بيحددوا تجاه التيار طب سؤالي الآن لو هذا السيليك
+
+557
+00:41:58,300 --> 00:42:03,110
+وين بداته وين نهاته؟قدش المسافة بين البداية و
+
+558
+00:42:03,110 --> 00:42:12,830
+النهاية؟ فقط .. فقط .. فقط
+
+559
+00:42:12,830 --> 00:42:13,250
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+560
+00:42:13,250 --> 00:42:14,630
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+561
+00:42:14,630 --> 00:42:16,810
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+562
+00:42:16,810 --> 00:42:17,370
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+563
+00:42:17,370 --> 00:42:24,190
+.. فقط .. فقط .. فقط .. فقط
+
+564
+00:42:25,440 --> 00:42:29,520
+هي ال شرطة، هي ال شرطة، إذاً is a straight line
+
+565
+00:42:29,520 --> 00:42:34,060
+from I to F من بداية للنهاية، شايفين مش تكامل؟ لما
+
+566
+00:42:34,060 --> 00:42:38,400
+يكون أنا بكمل vectors تكامل DX بقطة X، مش بالضرورة
+
+567
+00:42:38,400 --> 00:42:41,760
+X، صح ولا لأ؟ هيطلع مش L، هيطلع L شرطة، و L شرطة
+
+568
+00:42:41,760 --> 00:42:45,220
+لما هيجعب Lهدق طول و هدق طول مختلف عشان كده بيقول
+
+569
+00:42:45,220 --> 00:42:49,160
+في التكامل شباب انتبهوا لازم تتعاملوا مع كل قنبل
+
+570
+00:42:49,160 --> 00:42:54,820
+نص لحالي لإن انت قاعد تجمع vectors تجمعش scalars و
+
+571
+00:42:54,820 --> 00:42:58,060
+جمع ال vectors بدوا انتباه تمام ماذا في ال closed
+
+572
+00:42:58,060 --> 00:43:01,860
+loop جدش الشرق؟ Zero Zero إذا إيش معناته في عندى
+
+573
+00:43:01,860 --> 00:43:07,420
+وضع قوة كتير مهمة؟بنقول إلى magnetic force on a
+
+574
+00:43:07,420 --> 00:43:13,340
+closed loop .. loop .. closed loop .. إيه بيكون
+
+575
+00:43:13,340 --> 00:43:17,120
+شكها؟ بشكلها تكون موجودة في مجال مغناطيسي منطبع ..
+
+576
+00:43:17,120 --> 00:43:21,300
+بيديش القوة اللي عليها؟لأن ليش بيقولي بيصير F
+
+577
+00:43:21,300 --> 00:43:24,620
+بيتساوي I ال شرطة قصة B و ليش ال شرطة في كل الجو؟
+
+578
+00:43:24,620 --> 00:43:27,860
+طبعا بشرط أنه بيكون Uniform عشان دردالي أحضر
+
+579
+00:43:27,860 --> 00:43:31,580
+التكامل شباب يقول جودة تكامل بس دي ال .. راجون
+
+580
+00:43:31,580 --> 00:43:36,860
+تكامل دي ال هو ال شرطة طبعا ذاكري أنتوا .. فدتكم
+
+581
+00:43:36,860 --> 00:43:40,120
+بعد انتحارات قريبة في ال 2002 و 2003 كنا نجيب كلها
+
+582
+00:43:40,120 --> 00:43:45,140
+سئلة حل و كنا نجيب عشر سئلة، المرة جيبنا شركس واحد
+
+583
+00:43:45,140 --> 00:43:47,020
+عاملناها بصمة حلوة هيك
+
+584
+00:43:50,250 --> 00:44:00,210
+مغلق خالة مفتوحة مغلق خالة مفتوحة
+
+585
+00:44:00,210 --> 00:44:03,770
+مغلق خالة مفتوحة مغلق خالة مفتوحة مغلق خالة مفتوحة
+
+586
+00:44:03,770 --> 00:44:09,160
+مغلق خالة مفتوحةالفراغ بيكفّهوش و بيصير النادي
+
+587
+00:44:09,160 --> 00:44:12,320
+بيدي وراك وبعدين مانعه محطوط لها الجلكاين بده
+
+588
+00:44:12,320 --> 00:44:15,580
+عشرين جيجا هو حل فيه والله لإن طلع ال zero مانعه
+
+589
+00:44:15,580 --> 00:44:18,460
+طلّحوش وكان مطلوب بس عشان ياخد العشر عالمها
+
+590
+00:44:18,460 --> 00:44:22,800
+because since the loop is closed and B is uniform
+
+591
+00:44:22,800 --> 00:44:25,660
+then the magnetic force is zero أكتر من كده ماكنتش
+
+592
+00:44:25,660 --> 00:44:25,900
+مني
+
+593
+00:44:29,290 --> 00:44:32,990
+هو ممكن يبطل عزيزه ليه؟ دلوقت يشمل وحل ويجب عشان
+
+594
+00:44:32,990 --> 00:44:36,770
+يبطل عزيزه ويبطلع عزيزه صح إذا بطلع عصا يطلع عزيزه
+
+595
+00:44:36,770 --> 00:44:40,650
+يعني أنا راضي إنه يتعب هو انا هتطلع عزيزه في الآخر
+
+596
+00:44:40,650 --> 00:44:45,650
+بس بعد نص ساعة ويكون اتوتر لإنه راح الوجد وكان
+
+597
+00:44:45,650 --> 00:44:49,830
+مقروب إنه فقد يجول since the loop is closed and B
+
+598
+00:44:49,830 --> 00:44:53,510
+is uniform as in the magnetic force جداش يعتمد هذه
+
+599
+00:44:53,510 --> 00:44:57,170
+الملاحظة بسكيف بيكون شكلها؟ طبعا هذه حلوة عشان كده
+
+600
+00:44:57,170 --> 00:44:59,230
+انا حاططه حلوة اشفعني و اقول يارو دي محلوة يلا
+
+601
+00:44:59,230 --> 00:45:02,290
+اتشمل نشتري لكن لو اعملناها اللي اعملت هيك كده
+
+602
+00:45:02,290 --> 00:45:05,850
+ماحد شمر كده ماحد بس شمير صعب نشبر ساعات أصي يفكر
+
+603
+00:45:05,850 --> 00:45:08,890
+يكسب و أننا zero لكن لما أنا جايك حلوة نرحل
+
+604
+00:45:08,890 --> 00:45:12,630
+نتشمرلها فلينا حلو لكن برضه حلوة هو نتشمرلها صحيح
+
+605
+00:45:12,630 --> 00:45:16,490
+لكن لو هو في الطعام و رايح و جاي و قهوة و شاية و
+
+606
+00:45:16,490 --> 00:45:20,530
+وقته معه بطلعها zero في الأكل تمام؟ فهذه المقال
+
+607
+00:45:20,530 --> 00:45:21,250
+المطلوبة منها
+
+608
+00:45:29,580 --> 00:45:36,220
+القوة المجنونة على مجرد
+
+609
+00:45:36,220 --> 00:45:38,920
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+610
+00:45:38,920 --> 00:45:42,460
+مجرد مجرد مجرد
+
+611
+00:45:54,330 --> 00:45:57,850
+الرسم اللي كنت جايبها من النت حاطب I بتجاه الأصالة
+
+612
+00:45:57,850 --> 00:46:01,250
+الأربعة تمام؟ of the current instead of the
+
+613
+00:46:01,250 --> 00:46:06,760
+velocityهذه هي السؤالة بيقولي a wire bent into a
+
+614
+00:46:06,760 --> 00:46:10,340
+semicircle of radius capital R and carries a
+
+615
+00:46:10,340 --> 00:46:14,040
+current I هذه هي السؤالة تشوفوا هذه الأزرق مع
+
+616
+00:46:14,040 --> 00:46:17,440
+الأخضر إغلاقه او لا اغلاقه اغلاقه كمان يجب ان يكون
+
+617
+00:46:19,750 --> 00:46:23,530
+طبعا الان بيقولي انت لو عطيتلي zero بيبقى لها منك
+
+618
+00:46:23,530 --> 00:46:26,630
+لكن انا بدي أحلها بالتفصيل بدي أشمر زي ما شمرت هنا
+
+619
+00:46:26,630 --> 00:46:31,210
+تمام؟ شمر و طلع إجابة صح و ماتفرجش معاك تمام؟ حاجة
+
+620
+00:46:31,210 --> 00:46:35,170
+هنا، قول zero على ال total loop بتطلع صحية بس هو
+
+621
+00:46:35,170 --> 00:46:38,030
+مش طايب لك ال total loop، إيش بيقول لك؟ the wire
+
+622
+00:46:38,030 --> 00:46:40,790
+lying in the x-y plane و المجمة تكفي تتجاه الأعلى
+
+623
+00:46:40,790 --> 00:46:45,170
+و كل شماطة؟ find Fm on the straight portion of the
+
+624
+00:46:45,170 --> 00:46:47,650
+loop، بس ال straight portion، ال straight portion
+
+625
+00:46:47,650 --> 00:46:52,110
+لحاله closed؟لأ .. and the kid goes to the toilet
+
+626
+00:46:52,110 --> 00:46:54,670
+.. و الـ ghost اللي .. لأ بس .. لما نجمعهم ليش
+
+627
+00:46:54,670 --> 00:46:59,760
+اللي مطلع؟ لازم يطلع Zero .. تمام؟ بنجرببقول ال
+
+628
+00:46:59,760 --> 00:47:04,240
+solution انا عندي سلكين سلك straight و سلك not
+
+629
+00:47:04,240 --> 00:47:08,280
+straight لل straight يبقى القانون F بساوي I L كنص
+
+630
+00:47:08,280 --> 00:47:13,880
+ال B للكيرب في قانون تاني L شرطة و L شرطة هو طول
+
+631
+00:47:13,880 --> 00:47:18,240
+الكيرب الخط المستقيم من أول كيرب لآخر الكيرب بقول
+
+632
+00:47:18,240 --> 00:47:20,080
+for the straight portion انت من ال straight
+
+633
+00:47:20,080 --> 00:47:22,680
+portion لسه هم هاي قانون لل straight portion فتقول
+
+634
+00:47:22,680 --> 00:47:27,620
+جنب هذا for the straight portion هذا هوالـ
+
+635
+00:47:27,620 --> 00:47:33,700
+straight الأزرق شباب حاجة L ايش هحطه اتجاهها؟ R
+
+636
+00:47:33,700 --> 00:47:40,720
+طولها M اتنين R اتنين R اتنين R اتنين R اتنين R
+
+637
+00:47:40,720 --> 00:47:41,000
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+638
+00:47:41,000 --> 00:47:42,100
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+639
+00:47:42,100 --> 00:47:44,100
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+640
+00:47:44,100 --> 00:47:45,380
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+641
+00:47:45,380 --> 00:47:45,500
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+642
+00:47:45,500 --> 00:47:50,340
+اتنين R اتنين R اتنين R ات
+
+643
+00:47:51,740 --> 00:47:55,780
+في مشكلة؟ يالا شوف ال cured بيقولي for the cured
+
+644
+00:47:55,780 --> 00:48:00,880
+portion إيه الشرطة؟ وإيه الشرطة جالي طول المستقيم
+
+645
+00:48:00,880 --> 00:48:04,540
+من بداية ال wire لمهاته؟ طبعا الطيار كيف بده يبدأ؟
+
+646
+00:48:04,540 --> 00:48:08,380
+البداية من هنا ولا من هنا في الأقدر؟ تشوف الطيار
+
+647
+00:48:08,380 --> 00:48:11,840
+من وجهي؟ من هنا طيب أنا بدي إيه الشرطة؟ بيقولي هاي
+
+648
+00:48:11,840 --> 00:48:16,360
+البداية و هاي المهاتة؟ هاي الشرطة؟ بس ناقص على
+
+649
+00:48:16,360 --> 00:48:22,830
+الطول إذا كنت جاهو سالب Iنقص اتنين طلعت تانية
+
+650
+00:48:22,830 --> 00:48:29,030
+فبجمعهم طلعت Zero صحيح اقولها طبعا هو ليه جمعت
+
+651
+00:48:29,030 --> 00:48:33,170
+البارحة؟ لإن هو مجالك اوديديت Total جالك اوديديت
+
+652
+00:48:33,170 --> 00:48:37,710
+قوة على السيط العيالي و ال كب دهالك اذا كان فرق
+
+653
+00:48:37,710 --> 00:48:42,410
+التاني بحكي سنة و ستة دقيقة صحيح انا accept it
+
+654
+00:49:11,250 --> 00:49:16,980
+هذا القانون جلب الدنيا كلهاسؤال يعني قبل ما نبدأ
+
+655
+00:49:16,980 --> 00:49:25,600
+هذا خشب يا شباب، هذا قوة خمسة نيوتر وهذا قوة خمسة
+
+656
+00:49:25,600 --> 00:49:32,300
+نيوتر قبل الدوران، ده ليه ال total force؟ Zero ال
+
+657
+00:49:32,300 --> 00:49:35,780
+total force Zero، لكن بتتحرك ولا ماتتحركش؟ بدور،
+
+658
+00:49:35,780 --> 00:49:40,960
+بدور، صح ولا؟ بدور حوالين إيه؟ ال total force
+
+659
+00:49:40,960 --> 00:49:45,370
+واضح، لكن هو بدورلكن إسم الرقماز تبعته تتحرك أكتر،
+
+660
+00:49:45,370 --> 00:49:49,610
+مافيش طرق عقود إذا ممكن جسم يدور حتى لو ال net
+
+661
+00:49:49,610 --> 00:49:53,410
+force تبعته بتساوي zero ولا لأ، طب هو اللي بيجي
+
+662
+00:49:53,410 --> 00:49:59,050
+يشوف torque on a current loop consider a
+
+663
+00:49:59,050 --> 00:50:02,790
+rectangular loop rectangular loop يعني loop عبارة
+
+664
+00:50:02,790 --> 00:50:06,990
+عن مستطيل، طب المستطيل closed ولا مش closed؟ موجود
+
+665
+00:50:06,990 --> 00:50:11,060
+في مجال المنطقة المتضمنة، ليش بقوة كلية؟ Zeroهذه
+
+666
+00:50:11,060 --> 00:50:13,380
+مضطرة، إذا كنت تقول له أوجد القوة كلية، فأقول له
+
+667
+00:50:13,380 --> 00:50:18,320
+Zero Consider a loop of sides A and B طولها A وB،
+
+668
+00:50:18,320 --> 00:50:21,760
+هذا مستطيل، طولها أربع طانيات Carrying a current
+
+669
+00:50:21,760 --> 00:50:26,380
+I، في طيارة And it nears in a uniform magnetic
+
+670
+00:50:26,380 --> 00:50:28,280
+field، هو موجود في مجال مواطنيسي، هي مجال
+
+671
+00:50:28,280 --> 00:50:32,380
+مواطنيسي، اتجاه الطانية، باتجاه الـI وهي ال loop
+
+672
+00:50:32,380 --> 00:50:36,800
+تبعد، وهي الطيارة دي A وهي دي B، وهي الطيارة بهذا
+
+673
+00:50:36,800 --> 00:50:42,440
+الشكل، تمام؟بتجيب القوة اللي عليها ال total قوة
+
+674
+00:50:42,440 --> 00:50:48,500
+كده؟ ال total force zero لإنها closed طيب أكم
+
+675
+00:50:48,500 --> 00:50:51,860
+ضرعه؟ المرة هذه كتابة في المثال السابق قال في
+
+676
+00:50:51,860 --> 00:50:55,080
+ضرعين المنحني والمستقيم جماعتهم ضرعه zero هدول
+
+677
+00:50:55,080 --> 00:50:59,760
+بتجيب القوة أكم ضرع؟ بتجيبوا ضرع ضرع أنا وياكم لما
+
+678
+00:50:59,760 --> 00:51:04,100
+أجمع الأربع ضرع لازم كده؟ Zero نبدأ نشوف الضرع
+
+679
+00:51:04,100 --> 00:51:04,500
+الفجأة
+
+680
+00:51:09,190 --> 00:51:11,950
+لماذا؟ لأنهم موازي لـB، براوع عليكم، طب و
+
+681
+00:51:11,950 --> 00:51:16,630
+التحتاني؟ لازم هاي الاتنين رايحون، ضال الاتنين،
+
+682
+00:51:16,630 --> 00:51:20,190
+لازم يكون واحد عكس التاني، صح ولا لأ؟ بيجي نبدأ،
+
+683
+00:51:20,190 --> 00:51:23,510
+بيقول for the horizontal sides، الفجاري و
+
+684
+00:51:23,510 --> 00:51:27,390
+التحتاني، ال horizontal sides of the loop, the
+
+685
+00:51:27,390 --> 00:51:31,210
+direction of current is going to be، صحيح ولا لأ؟
+
+686
+00:51:31,210 --> 00:51:36,690
+هذا هموقعد معه ووقعد ضده في نهاية الزاوية لا سفر
+
+687
+00:51:36,690 --> 00:51:40,810
+لا مية و تمانين صانع السفر كده؟ وصانع ال مية و
+
+688
+00:51:40,810 --> 00:51:44,950
+تمانين؟ وقعدت سفر بيقول إذا روضنت ال sides of the
+
+689
+00:51:44,950 --> 00:51:47,390
+loop the direction of the current is parallel to B
+
+690
+00:51:47,390 --> 00:51:50,630
+so the force on the two sides is zero إذا لا فجاني
+
+691
+00:51:50,630 --> 00:51:54,990
+عليه قوة ولا تحتاني عليه قوة يعطيهم العافية for
+
+692
+00:51:54,990 --> 00:52:01,850
+the vertical side we have او بتاخد ال lift اللي هو
+
+693
+00:52:01,850 --> 00:52:07,590
+ال liftاللي ع شمالكو .. حلو .. straight هذا .. او
+
+694
+00:52:07,590 --> 00:52:09,750
+لا مش straight .. بيتطبق عليه القوانين الأكبر
+
+695
+00:52:09,750 --> 00:52:13,310
+الساوية I L كوستر بيه .. طب إيه الكيفية ده؟ لأسفل
+
+696
+00:52:13,310 --> 00:52:18,950
+.. لأسفل .. لأقل جيرو .. إذا قال في أي علم هذه
+
+697
+00:52:18,950 --> 00:52:23,990
+الليلة هتفعل النفط؟واضح؟ كُسر بي بورت بالثانوية
+
+698
+00:52:23,990 --> 00:52:28,650
+طوله موجددش مش اللي بي وهادي بي هادي مخ جيه
+
+699
+00:52:28,650 --> 00:52:33,850
+والمجال مجدس كيف؟ I جيه cross of I سالب كيه وفيه
+
+700
+00:52:33,850 --> 00:52:38,210
+سالب ثلاث كيه إذا معناته فيه قوة هيك يشجلها ال K
+
+701
+00:52:38,210 --> 00:52:44,130
+مش هذا رمزه صح؟ إذا هذا الضلع فيه حد يشده هيك تمام
+
+702
+00:52:44,130 --> 00:52:49,410
+تفوقوا على الضلع التاني واني موافق نجي نجربللـ
+
+703
+00:52:49,410 --> 00:52:53,190
+right بيسوي I L right cross بيه ال L right ماكانش
+
+704
+00:52:53,190 --> 00:53:02,710
+مقدره برضه بيه ماكانش تجاهه جيه ايه جيه ايه جيه لا
+
+705
+00:53:02,710 --> 00:53:08,270
+اهلا بحط جيه و اهلا و بيه اهلا جيه cross I سنبكيه
+
+706
+00:53:08,270 --> 00:53:11,450
+اذا في عندك قوات ايه مع القواتين طبعا انت مقدرهم
+
+707
+00:53:12,630 --> 00:53:18,110
+IPB وهنا ناسي العينة IPB اجمعوه Zero إذا مافيش اي
+
+708
+00:53:18,110 --> 00:53:22,210
+تناقض closed loop in any four magnetic field ال
+
+709
+00:53:22,210 --> 00:53:25,810
+four is zero لكن ال four is zero زي هذا ال net
+
+710
+00:53:25,810 --> 00:53:30,570
+four is zero لكن بلفه لا ملفش بلفه هذا واحد بشده
+
+711
+00:53:30,570 --> 00:53:35,350
+هيك و واحد بوديه هيك إذا بده يلف وهذه النظرية جلبت
+
+712
+00:53:35,350 --> 00:53:38,750
+الدنيا كل الحركة اللي بتشوفوها معتمدة عليها
+
+713
+00:53:38,750 --> 00:53:42,410
+النظريةالمطور مش المطور اللي بولد كهربا المطور
+
+714
+00:53:42,410 --> 00:53:44,710
+الحقيقي احنا المطور احنا قاعدين نسميه generator
+
+715
+00:53:44,710 --> 00:53:49,330
+المطور تمام؟ المطور هو اللي بدي حركة من وجهته حركة
+
+716
+00:53:49,330 --> 00:53:55,070
+هذه المطرية اللي بيكون في لوب مغلق أشبال محطوطة في
+
+717
+00:53:55,070 --> 00:53:57,470
+مجان مغناطيسي بيحطوا هنا خُطوا المغناطيسي و خُطوا
+
+718
+00:53:57,470 --> 00:54:01,350
+المغناطيسي جوا و بيحطوا سليكل أول ما تشتغل الكهربا
+
+719
+00:54:01,350 --> 00:54:05,620
+لفتماذا بيرفض هاي الرعاية اللي بيديها؟ عشان كده
+
+720
+00:54:05,620 --> 00:54:09,420
+مافيش هنا هوايات أعواطيه بيلفوا الهواية، بيلفوا
+
+721
+00:54:09,420 --> 00:54:13,440
+الـMonanics، بيلفوا الغسالة، طبعا هذه شغلات بسيطة،
+
+722
+00:54:13,440 --> 00:54:17,760
+بيلفوا المصنع كلهو هات الحركة ممكن تمشيها كمان بدك
+
+723
+00:54:17,760 --> 00:54:20,760
+على قشط .. انتوا بتشوفوا كيف المخابز ات اتوماتيك
+
+724
+00:54:20,760 --> 00:54:24,220
+بالكور و كيف الكشاب و هذا حركة بس بيحطها بكشاب
+
+725
+00:54:24,220 --> 00:54:27,220
+تنتقل الحركة من مكان لمكان بيجيلك الخبز من أولها
+
+726
+00:54:27,220 --> 00:54:30,260
+كل حركة بحركة من أول ما يحطوا طحين فيه على الجانب
+
+727
+00:54:30,260 --> 00:54:36,360
+حركة بعدين بيتجل لجبطةها بيتجل برضه حركة جبطةها
+
+728
+00:54:36,360 --> 00:54:41,380
+حركة اللي جبطها حركةبيروح على الفرن جوه حركة بس
+
+729
+00:54:41,380 --> 00:54:44,140
+بيبقى داخلها بالدينار و لو جوه بيبقى ماشية على
+
+730
+00:54:44,140 --> 00:54:46,860
+نفسه دي هو الفرن بعدين بطلع بلف لف لف لف لف لف لف
+
+731
+00:54:46,860 --> 00:54:49,020
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+732
+00:54:49,020 --> 00:54:49,320
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+733
+00:54:49,320 --> 00:54:49,840
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+734
+00:54:49,840 --> 00:54:51,220
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+735
+00:54:51,220 --> 00:54:58,600
+لف لف لف لف لف لف لف
+
+736
+00:54:58,600 --> 00:55:05,600
+لف
+
+737
+00:55:05,600 --> 00:55:12,760
+لالجرافة هي حركة طبعا صار اللي بنعمله بسنة بنعمله
+
+738
+00:55:12,760 --> 00:55:18,180
+بأيام طبعا فشوف انت كده انجلبت الدنيا شغلات كتيرة
+
+739
+00:55:18,180 --> 00:55:22,600
+بلاش خلينا نقول الغسالة البسيطة اللي في دوركم لو
+
+740
+00:55:22,600 --> 00:55:26,320
+انتوا سألتوا امياتكم لسه مايحقوش و الله أعلم
+
+741
+00:55:26,320 --> 00:55:29,540
+جدادكم اذا كانوا عايشين كانوا بيقولوا عشان نخسر
+
+742
+00:55:29,540 --> 00:55:33,140
+كنا نصبح مع صلاة الصبح نضغط نخسرده الدور اللي هم
+
+743
+00:55:33,140 --> 00:55:38,940
+يغسلوا هرجيت اما تبقى تحط الناس سهل انا بتتعب
+
+744
+00:55:38,940 --> 00:55:43,600
+بس الناس اللي يمكن تتعب تاخده و تشوفه بس فشوف ايش
+
+745
+00:55:43,600 --> 00:55:48,360
+انقلبت الدنيا من هذا القانون هذا دانا حركة و
+
+746
+00:55:48,360 --> 00:55:53,440
+الحركة بعد كده بستخدمها كيف ما بدي بكل الأمور و ما
+
+747
+00:55:53,440 --> 00:55:57,920
+تحط بالك في دارك في شارعك في وصنعك و المكان هذا
+
+748
+00:55:57,920 --> 00:56:02,170
+القانون موجود في حركةطبعا إن جت على الكهربا بيبقى
+
+749
+00:56:02,170 --> 00:56:06,170
+بيبقى في حركة رايحة في الشجارة .. في الشجارة هو
+
+750
+00:56:06,170 --> 00:56:10,450
+مضطرب لا المونيكس تشتغل ولا غسلت تشتغل ولا أي حاجة
+
+751
+00:56:10,450 --> 00:56:15,550
+بدك إياها بيبقى تشتغل حتى أي حاجة فيها لا الهواية
+
+752
+00:56:15,550 --> 00:56:19,530
+تشتغل ولا أي حاجة حتى ال computer ال box فيه هواية
+
+753
+00:56:19,530 --> 00:56:24,920
+بحطه عشان يبردفكل هذا من هذا القانون طبعا انا
+
+754
+00:56:24,920 --> 00:56:27,980
+ببذلني I عشان كده لو جدت على الكهربا مافيش حركة
+
+755
+00:56:27,980 --> 00:56:32,080
+لأن I بديها لازم يكون في عندي تيار لو مافيش تيار
+
+756
+00:56:32,080 --> 00:56:37,680
+بتلف اذا انا بدي الكهربا بالأول والآخر that if the
+
+757
+00:56:37,680 --> 00:56:40,180
+two forces are opposite and equal in magnitude
+
+758
+00:56:40,180 --> 00:56:43,340
+opposite and equal in magnitude if the loop is
+
+759
+00:56:43,340 --> 00:56:47,020
+assumed to rotate about its center بتلف هكذا these
+
+760
+00:56:47,020 --> 00:56:50,790
+two forces طب يلا نجيب ال torque شبابهذا بتوح مع
+
+761
+00:56:50,790 --> 00:56:54,070
+قرصها وانا بضع قرصها وهذا
+
+762
+00:56:55,620 --> 00:56:58,520
+ماش انتوا قاعدين و انتوا مغفلين بتحكوا هذا مع هذا
+
+763
+00:56:58,520 --> 00:57:03,260
+ما .. اذا ان ال torque بقول هذا في ذراعه زائد هذا
+
+764
+00:57:03,260 --> 00:57:06,820
+في ذراعه لما التانين معاه وهي نفس الأعمالية شوفوا
+
+765
+00:57:06,820 --> 00:57:10,780
+مع أن القواتين عكس بقعد لكن ال torque مع بعض مع أن
+
+766
+00:57:10,780 --> 00:57:14,580
+القواتين عكس بقعد هذا ال torque بيعمل هيك صح و هذا
+
+767
+00:57:14,580 --> 00:57:18,020
+ال torque بيعمل هيك التانين clockwise ولا مشكلتين
+
+768
+00:57:18,020 --> 00:57:19,800
+clockwise فنجي هنا
+
+769
+00:57:26,570 --> 00:57:30,010
+القوة في الذراع و لا لأ بدي افترض انه بدي لف حوالي
+
+770
+00:57:30,010 --> 00:57:36,870
+ال center ايه ع اتنين؟ لأن هذه الذراع من القوة
+
+771
+00:57:36,870 --> 00:57:42,370
+لهنا وهذه نص ايه للا وهذه ايه برضه ايه ع اتنين؟
+
+772
+00:57:44,710 --> 00:57:47,990
+خلّينا if the loop is assumed to rotate about its
+
+773
+00:57:47,990 --> 00:57:50,750
+center يعني أحوال بيقع في ال center these two
+
+774
+00:57:50,750 --> 00:57:53,970
+forces will produce a torque that tends to rotate
+
+775
+00:57:53,970 --> 00:57:57,110
+the loop counter clockwise the magnitude of this
+
+776
+00:57:57,110 --> 00:58:01,930
+torque is القوة في الذراع a ع اتنين زي اد القوة
+
+777
+00:58:01,930 --> 00:58:04,910
+التانية في الذراع a ع اتنين طب دي اللي خلع المشترك
+
+778
+00:58:04,910 --> 00:58:09,150
+ايش خلع المشترك؟ I في B في capital B بظهر a ع
+
+779
+00:58:09,150 --> 00:58:14,130
+اتنين زي d ع اتنين ايه؟ طب a في b مش هي ال area؟
+
+780
+00:58:15,000 --> 00:58:20,460
+اذا طلع القانون هذا هو ايش كانت ال a هي ال area if
+
+781
+00:58:20,460 --> 00:58:22,560
+P is not parallel to the plane of the loop the
+
+782
+00:58:22,560 --> 00:58:25,360
+last equation can be generalized to P بيقول إذا ال
+
+783
+00:58:25,360 --> 00:58:28,460
+loop انت حطت ال loop على اللوح لو ميلت بيقول ليه
+
+784
+00:58:28,460 --> 00:58:33,680
+ليش بيصير القانون هيك بس cross product بتحط circle
+
+785
+00:58:33,680 --> 00:58:36,700
+cross product احنا ده واش عملنا عملنا هيك وعملنا
+
+786
+00:58:36,700 --> 00:58:41,960
+ال loop هيك من يقول اتجاه ال area جديش يا ده ال
+
+787
+00:58:41,960 --> 00:58:49,810
+areaعمودي على اللوحة فإيش علاقتها مع ال B عمودية
+
+788
+00:58:49,810 --> 00:58:53,610
+على ال B عمودية على ال B عقص ال product بتروح صح
+
+789
+00:58:53,610 --> 00:58:57,310
+ولا .. لو مش عمودية بحثت عقص ال product بيقول if P
+
+790
+00:58:57,310 --> 00:58:59,250
+is not parallel to the plane of the loop the last
+
+791
+00:58:59,250 --> 00:59:03,230
+equation can be generalized التعميم لهذا القانون I
+
+792
+00:59:03,230 --> 00:59:06,310
+A قص ال P لأن E is a vector of quantity خدناها من
+
+793
+00:59:06,310 --> 00:59:12,830
+أيام جاوس قص ال P هذي I في A بالثورة من U ال U إيه
+
+794
+00:59:12,830 --> 00:59:25,510
+بتشبه الشباب؟QD بيساوي بي بي
+
+795
+00:59:25,510 --> 00:59:34,830
+بي بي بي بي
+
+796
+00:59:34,830 --> 00:59:35,090
+بي بي بي بي بي بي بي بي بي بي بي
+
+797
+00:59:44,620 --> 00:59:47,400
+هذه كانت الـ Q في D، Q الشحنة وD المسافة اللي
+
+798
+00:59:47,400 --> 00:59:51,600
+بيقوم هذي بتساوي بدل الشحنة حطب I بل المسافة صار
+
+799
+00:59:51,600 --> 00:59:55,780
+في مساحة لأنه مافيش إمكانية يكون في عند جواننا
+
+800
+00:59:55,780 --> 00:59:59,440
+يكون في لوب مغلقة و اللوب المغلقة بتشكلك مساحة
+
+801
+00:59:59,440 --> 01:00:04,260
+فبتكون I في A هي المساحة هجتني ورجع احنا قولنا أصل
+
+802
+01:00:04,260 --> 01:00:08,340
+المغناطية أيش كهربية اللي هي الإلكترونات المتحركة
+
+803
+01:00:08,340 --> 01:00:10,780
+الإلكترونات بتتحرك على اللوب المغلقة مش اللوب
+
+804
+01:00:10,780 --> 01:00:11,160
+المغلقة
+
+805
+01:00:14,860 --> 01:00:18,500
+هل جد كل إلكترون بشكل عبارة عن الـelectric dipole
+
+806
+01:00:18,500 --> 01:00:21,980
+moment؟ هنا كل نجوم كل جزيه، كل إلكترون بيعمل
+
+807
+01:00:21,980 --> 01:00:24,560
+electric dipole moment، هل جد في إلكترون، في عندك
+
+808
+01:00:24,560 --> 01:00:27,660
+عشر ألف إلكترون من اتجاهات مختلفة، many mu's جوا
+
+809
+01:00:27,660 --> 01:00:30,360
+المادة، إذا الـmu's كلها اتجاهاتها واحدة، بيصير
+
+810
+01:00:30,360 --> 01:00:33,320
+عندي براطيس، إذا الـmu's كلها اتجاهات مختلفة،
+
+811
+01:00:33,320 --> 01:00:36,640
+بيكون الـnet mu أو الـnet مجنتك فيه ساوي زيرو، مش
+
+812
+01:00:36,640 --> 01:00:41,550
+مهم، it's called the magnetic dipole momentهاجر
+
+813
+01:00:41,550 --> 01:00:45,750
+الـ U كيف بتجيب اتجاهها طيب كل هي قانون هقاعد في
+
+814
+01:00:45,750 --> 01:00:49,590
+ايه اتجاه ال ايه طب اتجاه ال ايه كيف بتجيبه انا في
+
+815
+01:00:49,590 --> 01:00:54,510
+عندها اتجاهين هاجد ايه كيف اتجاه اللوح شباب مثلا
+
+816
+01:00:54,510 --> 01:00:58,970
+لبرنا جوا طب كيف بتعرض لإيدك اليوم ده حسب اتجاهك
+
+817
+01:00:58,970 --> 01:01:02,970
+الطيار ودفع صبيحك نفسك على الطيار ابهنك بالدي ميو
+
+818
+01:01:04,610 --> 01:01:08,150
+لُف أصابعك أربع مع التيار The direction of the mu
+
+819
+01:01:08,150 --> 01:01:10,870
+is perpendicular to the plane of the loop and it's
+
+820
+01:01:10,870 --> 01:01:15,510
+sense is determined by the right hand rule. إيش هي
+
+821
+01:01:15,510 --> 01:01:19,730
+بتقول؟ killing the four fingers يعني لُف the four
+
+822
+01:01:19,730 --> 01:01:21,770
+fingers of the right hand rule in the direction of
+
+823
+01:01:21,770 --> 01:01:25,170
+the current لُف أصابعك أربع مع التيار The thumb
+
+824
+01:01:25,170 --> 01:01:28,890
+points in the direction of the mu نرجع لهذه
+
+825
+01:01:34,830 --> 01:01:42,670
+كيف تجاه الـ Mu؟ على الخارج لأن أصابعي الأربعة
+
+826
+01:01:42,670 --> 01:01:46,170
+رفنتهم مع الطيارة إذا ما حدثوا إبهامهم يكونوا out
+
+827
+01:01:46,170 --> 01:01:50,710
+على طول تمام؟ لو الطيارة انعكس يكونوا إبهامي جوا
+
+828
+01:01:50,710 --> 01:01:54,470
+صح ولا لأ؟ عشان ألف مع الطيارة إذا أنا هالي بحدد
+
+829
+01:01:54,470 --> 01:01:58,290
+الـ Mu أصابعي الأربعة مع الطيارة إبهامي بالـ Mu
+
+830
+01:01:58,290 --> 01:02:02,630
+تمام
+
+831
+01:02:02,630 --> 01:02:04,150
+هذا مثال
+
+832
+01:02:13,070 --> 01:02:18,710
+يكون هناك عبارة عن عبارة عن عبارة عن عبارة عن
+
+833
+01:02:18,710 --> 01:02:22,050
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+834
+01:02:22,050 --> 01:02:23,670
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+835
+01:02:23,670 --> 01:02:27,950
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+836
+01:02:27,950 --> 01:02:31,350
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+837
+01:02:31,350 --> 01:02:31,390
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+838
+01:02:31,390 --> 01:02:33,570
+عن عبارة عن
+
+839
+01:02:42,520 --> 01:02:44,480
+الـInitial is parallel to the plane of the loop
+
+840
+01:02:44,480 --> 01:02:47,720
+برالي تمام what is the magnitude of the initial
+
+841
+01:02:47,720 --> 01:02:50,160
+torque acting on the loop بعد ما تبقى تطبيق مباشر
+
+842
+01:02:50,160 --> 01:02:53,960
+نقول solution since the coil has 25 tails coil
+
+843
+01:02:53,960 --> 01:02:57,040
+يعني ملف برضه الشباب هنا مافيش كتاب ليه loop loop
+
+844
+01:02:57,040 --> 01:03:00,380
+أو coil coil معناه تمام تمام وطبعا كل كنت عارف
+
+845
+01:03:00,380 --> 01:03:04,340
+المطارات اللي بيقولوا لما يخرب يروح يلفو مظلوله هو
+
+846
+01:03:04,340 --> 01:03:08,100
+عبارة عن loops يعني مكونش لفة واحدة مكون عدة loops
+
+847
+01:03:08,100 --> 01:03:12,550
+مش مشكلةلو انتوا فى تحته واحد تشوفوا انه فى loop
+
+848
+01:03:12,550 --> 01:03:17,150
+محاسي بيكون ملفوف وشغلات وعادى وحنشوف ايش انواع
+
+849
+01:03:17,150 --> 01:03:20,630
+الملفات ترويت او سلونه و بعد يوم نشوفها عشان لما
+
+850
+01:03:20,630 --> 01:03:23,770
+تخشوا على اي مطور تشوفوه تعرفوا ان هذا عبارة عن
+
+851
+01:03:23,770 --> 01:03:27,230
+ملف معين و هو اللى بجوه اللى تكون الحركة و طبعا
+
+852
+01:03:27,230 --> 01:03:30,150
+لازم تكون مافيش مطور جوه اللى تلاقي مغماطيس ولا لا
+
+853
+01:03:30,150 --> 01:03:33,050
+المغماطيس من الخط عشان يجيبلي المجال المغماطيسي
+
+854
+01:03:33,050 --> 01:03:37,700
+عشان بدي بيهعشان بال D.P. طبعا الشغل البرده اللي
+
+855
+01:03:37,700 --> 01:03:41,880
+اتخذته هو في المدارس ال جيل فان ويكاربرضه اتأسس
+
+856
+01:03:41,880 --> 01:03:44,480
+عليها دى القاعدة لأنه انا في جلبان و متر او ال
+
+857
+01:03:44,480 --> 01:03:47,760
+voltmeter او ال ammeter بدي الماشي يتحرك فبالتالي
+
+858
+01:03:47,760 --> 01:03:50,500
+بكون مربوط بملف اول ما أحطه فى الديارة علاش بدي
+
+859
+01:03:50,500 --> 01:03:53,760
+أجيب فده دي كيس كهربا فالاخر اذا حطه فى الديارة
+
+860
+01:03:53,760 --> 01:03:58,200
+صار فى تيار العكس المؤشر صار فى حركة لف كل ما كانت
+
+861
+01:03:58,200 --> 01:04:00,600
+تيارة أكبر كل ما كانت الحركة أكبر ولا لا بالتالي
+
+862
+01:04:00,600 --> 01:04:03,860
+بقدر أعمل calibration معايرة و بقدر أجيبه وعشان
+
+863
+01:04:03,860 --> 01:04:09,590
+كده كانوا يسمون اياها هيكييقولون هاي قطب و هاي قطب
+
+864
+01:04:09,590 --> 01:04:12,310
+شمالي و جنوبي هاي المجال اللي معروف باسم العرب
+
+865
+01:04:12,310 --> 01:04:15,710
+خلاص شمالي و جنوبي ده هزي عندك مجمع نفسي تمام؟ و
+
+866
+01:04:15,710 --> 01:04:23,190
+بعدين يحطونا loop و بعدين يوجهوها هيك و يقولك
+
+867
+01:04:23,190 --> 01:04:27,530
+واصلها في الدائرة نفسك هنا فيه بطارية فزي ما فيه
+
+868
+01:04:27,530 --> 01:04:32,110
+بطارية سارس لك لف بخارج البنومتر بربطه هذه بمؤشر
+
+869
+01:04:32,110 --> 01:04:37,080
+لفت بحركوظبط معاه طبعا في زمبالك عشان يظبط الأمور
+
+870
+01:04:37,080 --> 01:04:41,260
+في الأخر هدا السبب ال D grade تبعها اما في زمبالك
+
+871
+01:04:41,260 --> 01:04:44,220
+عشان يحكمها ومايروحش تيجي ويعمل معاييرات شغلات
+
+872
+01:04:44,220 --> 01:04:48,360
+كتيرة بتيجي بهذه .. طبعا في بعض يقعوا في جرس
+
+873
+01:04:48,360 --> 01:04:50,800
+الكهرباية نفس الفكرة شغلات كتيرة الجرس الكهرباية
+
+874
+01:04:50,800 --> 01:04:54,860
+مورايه جاي وخلوه يقطع اخدتوا هدا برضه في الفنانوية
+
+875
+01:04:54,860 --> 01:05:02,630
+دالة جرس تمام م سوى capital M I في ال Aأي ميو بس
+
+876
+01:05:02,630 --> 01:05:06,370
+عشان في عدة شحنات ايفن ايه اللي ايه قولتلي بقعد
+
+877
+01:05:06,370 --> 01:05:10,270
+هجيبها طبعا صارت المتر حوالته الشباب ده متر تنتين
+
+878
+01:05:10,270 --> 01:05:14,290
+واحدة خمسة وعشرين طلعت ال ميو knowing that ال ميو
+
+879
+01:05:14,290 --> 01:05:18,790
+and بي are parallel اذا هي تابسة من نقص ال بي لكن
+
+880
+01:05:18,790 --> 01:05:22,050
+ال ميو بي برارل راح نقص بذلك لأن هو حكيم برارل
+
+881
+01:05:22,050 --> 01:05:26,150
+طلعتها نيوت المتر طبعا الشباب انتوا عارفين ال
+
+882
+01:05:26,150 --> 01:05:28,710
+torque ايش وحدته؟
+
+883
+01:05:31,350 --> 01:05:39,810
+أف في متر فاقدر أقول عنها جول جول
+
+884
+01:05:39,810 --> 01:05:46,790
+ما هي جول مش نيوتر متر جول مش هو بيضحك شغل يعني
+
+885
+01:05:46,790 --> 01:05:50,730
+هذي نيوتر متر بس هو هيك مفردوش و حط جول عشان ال
+
+886
+01:05:50,730 --> 01:05:53,530
+fresh مش حلوة لكن لو حطها جول ماحد بيقدر يقول لو
+
+887
+01:05:53,530 --> 01:05:58,830
+حطها غلط لأن نيوتر في متر جول تمام؟ خدمة معلومة في
+
+888
+01:05:58,830 --> 01:06:00,470
+فيزيا ألف
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..89135cfdd78c4ef3a5b0f4d83ff151d956fb58a7
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/QjfkqmhqeUQ_raw.srt
@@ -0,0 +1,3620 @@
+1
+00:00:10,320 --> 00:00:15,220
+بسم الله الرحمن الرحيم نستنف ماتبقى من هذا ال
+
+2
+00:00:15,220 --> 00:00:20,120
+chapter بس بسرعة نحاول نسترجع اللى أخدناه في
+
+3
+00:00:20,120 --> 00:00:24,900
+المحاضرة السابقة حكينا أن عصر المجال المغناطيسي هو
+
+4
+00:00:24,900 --> 00:00:29,700
+الشحنات المتحركةوبالتالي a moving charge or a
+
+5
+00:00:29,700 --> 00:00:34,120
+current creates a magnetic field رمزه capital P in
+
+6
+00:00:34,120 --> 00:00:39,180
+the space around it وبعد كده حكينا هذا بيدي إلى
+
+7
+00:00:39,180 --> 00:00:43,060
+النتيجة التالية ان any moving charge exists in the
+
+8
+00:00:43,060 --> 00:00:45,680
+region of P will be affected by a magnetic force
+
+9
+00:00:45,680 --> 00:00:50,020
+واتفقنا القانون تبع الوحيد اللي حتى الآن أخدناه ان
+
+10
+00:00:50,020 --> 00:00:55,570
+f equal q v cross bبما ان f is a vector quantity
+
+11
+00:00:55,570 --> 00:00:59,270
+المفروض يكون في عندي cross product between v and b
+
+12
+00:00:59,270 --> 00:01:04,530
+لأن v is a vector and b is also a vector ومن هذه
+
+13
+00:01:04,530 --> 00:01:08,630
+العلاقة اتفقنا لو كانت v و b parallel بتكون
+
+14
+00:01:08,630 --> 00:01:14,230
+الزاوية 0 او 180 والقوة بتكون 0 والمعلومة التانية
+
+15
+00:01:15,970 --> 00:01:19,610
+أن F يجب أن تكون عموديًا لـ V و B
+
+16
+00:01:27,040 --> 00:01:31,540
+الوحدة تبعتي ال magnetic field هي التسلا او الجاوس
+
+17
+00:01:31,540 --> 00:01:35,720
+بحسب ال system المستخدم where one tesla equal to
+
+18
+00:01:35,720 --> 00:01:39,740
+ten to power four gauss هذا كل ما أخدناه الكمية
+
+19
+00:01:39,740 --> 00:01:42,340
+الوحيدة الجديدة اللي عندنا هي ال magnetic field
+
+20
+00:01:42,340 --> 00:01:46,740
+النمزا capital B it is a vector quantity with its
+
+21
+00:01:46,740 --> 00:01:48,400
+أسأع unit of تسلا
+
+22
+00:01:51,880 --> 00:01:57,240
+اتفقنا ان ال magnetic force بتكون عمودية ع ال
+
+23
+00:01:57,240 --> 00:02:01,060
+velocity و عمودية ع ال P وبالتالي لابد اني عشان
+
+24
+00:02:01,060 --> 00:02:04,040
+اجيب ال direction بتاعها استخدم قاعدة اليدي
+
+25
+00:02:04,040 --> 00:02:09,970
+اليومنا ان أصابع الأربعة بيكونوا مع V بعملانحناء
+
+26
+00:02:09,970 --> 00:02:14,610
+باتجاه بي my thumb او الابهام تبعه بيعطينا ال
+
+27
+00:02:14,610 --> 00:02:18,890
+direction of بي طبعا هذا الكلام لما يكون الشحنة
+
+28
+00:02:18,890 --> 00:02:21,690
+موجبة شباب لما .. لما تستخدموا إيديكم و لو كانت
+
+29
+00:02:21,690 --> 00:02:25,550
+الشحنة سالبة و ان ابهامكم تعكسه لو كانت الشحنة
+
+30
+00:02:25,550 --> 00:02:32,840
+سالبة تمامهذا صحيح إذا كان الـ Q صحيح، دع أصحاب
+
+31
+00:02:32,840 --> 00:02:34,180
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+32
+00:02:34,180 --> 00:02:34,180
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+33
+00:02:34,180 --> 00:02:34,200
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+34
+00:02:34,200 --> 00:02:35,840
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+35
+00:02:35,840 --> 00:02:37,920
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+36
+00:02:37,920 --> 00:02:39,760
+أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب
+
+37
+00:02:39,760 --> 00:02:49,060
+أصحاب أصحاب أ
+
+38
+00:02:54,860 --> 00:02:58,840
+واتفق لها هيكون في عينها رمزين يتكرهو كتير ان هذا
+
+39
+00:02:58,840 --> 00:03:04,800
+رمز بيعطي out of the page وهو يمثل رأس البرغي او
+
+40
+00:03:04,800 --> 00:03:09,780
+الدبوس وهذا هو خلفيته البرغي بيوصللي انه into the
+
+41
+00:03:09,780 --> 00:03:16,460
+page على اعتبار ان هذا k وهذا ناقص k انه out of
+
+42
+00:03:16,460 --> 00:03:21,080
+the page k و into the page هو ناقص k نتعامل معه في
+
+43
+00:03:21,080 --> 00:03:25,300
+ال directions اللي نتعامل معهاو هيدّينا المثال هذا
+
+44
+00:03:25,300 --> 00:03:28,300
+إن لو كان شحن موجة بقى بدا تمشي و المجال
+
+45
+00:03:28,300 --> 00:03:31,740
+الميوناطيسي اللي شايفينه هو out into the page يعني
+
+46
+00:03:31,740 --> 00:03:35,380
+ناقص K و جيت بدي أجيب ال direction كيف لو عملت
+
+47
+00:03:35,380 --> 00:03:42,480
+هذا؟ كيف تتضبط معاك؟ كيف
+
+48
+00:03:42,480 --> 00:03:43,980
+الصورة عايزة تعملها؟ كيف أصابعك الأربعة عايزة
+
+49
+00:03:43,980 --> 00:03:48,680
+تعملها؟ أصابعك الأربعة هيك و الجهة هيك؟ كيف إفهامك
+
+50
+00:03:48,680 --> 00:03:50,860
+بيكون؟ لفوق
+
+51
+00:03:54,260 --> 00:03:59,480
+بتتنهيج لازم يكون يبهر مكة لفوق تمام؟ بتتنهيج
+
+52
+00:03:59,480 --> 00:04:02,020
+وبالتالي يبهر مكة لفوق طبعا لو كانت الشوحانة
+
+53
+00:04:02,020 --> 00:04:06,960
+السابقة بيكون فتحها اي
+
+54
+00:04:06,960 --> 00:04:10,400
+واحدة لفوق واحدة لتحت وبالتالي بيكون ال direction
+
+55
+00:04:10,400 --> 00:04:14,800
+بيطلع فوق وهذا بينحني الى أسفل هذا ال deflection
+
+56
+00:04:14,800 --> 00:04:23,170
+تبعه تمام طيب الآن المعلومة اللى عندنامن القانون
+
+57
+00:04:23,170 --> 00:04:27,430
+الوحيد اللي موجود ان F شباب ال magnetic force
+
+58
+00:04:27,430 --> 00:04:37,210
+بيسوي Q V cross بيه هذا قانوني ايش علاقة V مع ال F
+
+59
+00:04:37,210 --> 00:04:40,770
+متعامدين
+
+60
+00:04:40,770 --> 00:04:46,290
+متعامدين لو حققت F ضد ال V تقومي ديش تطلع
+
+61
+00:04:50,790 --> 00:04:54,330
+مشي ال dot برورك بال D cosine وانت قولتوا متعامدين
+
+62
+00:04:54,330 --> 00:04:58,690
+و ال cosine التسعين قد هي zero تمام؟ بيقول since F
+
+63
+00:04:58,690 --> 00:05:02,890
+and V are perpendicular زي ما انتوا عارفينها then
+
+64
+00:05:02,890 --> 00:05:07,090
+F dot ال V سوى Zero طب ال V بيسوى DS على DT ولا
+
+65
+00:05:07,090 --> 00:05:11,490
+لأ؟ طيب F dot ال DS كمية فيزيائية مشهورة الشي هذه
+
+66
+00:05:12,660 --> 00:05:17,020
+مش الشغل؟ إذا المعناته بقدر أقول this means that
+
+67
+00:05:17,020 --> 00:05:20,300
+the magnetic force is always perpendicular to the
+
+68
+00:05:20,300 --> 00:05:24,600
+displacement and hence it doesn't do any work in
+
+69
+00:05:24,600 --> 00:05:27,760
+the displaced particle إذا هي معلومة جيدة أن القوة
+
+70
+00:05:27,760 --> 00:05:32,300
+المغناطسية بتعملش أي شغل بتعملش أي شغل طب هالليش
+
+71
+00:05:32,300 --> 00:05:35,840
+بدينا نسفيد منها؟ جاليها هتسفيدي شغلات كتيرة في
+
+72
+00:05:35,840 --> 00:05:40,140
+علاقة بين القائمة ال energy والشغل ولا مافيش مشدوة
+
+73
+00:05:40,140 --> 00:05:44,440
+بليونات بالساوية ده التكييف الشباب؟تمام؟ الـ work
+
+74
+00:05:44,440 --> 00:05:52,980
+energy theorem اللي هي كان الـ W net يسوى Delta K
+
+75
+00:05:52,980 --> 00:05:56,680
+ذكرين ما كانت القانون؟ حد سمتها work energy
+
+76
+00:05:56,680 --> 00:06:00,640
+theorem انا ذاك في فيزيا الف جالسة فحد اللي وجدت
+
+77
+00:06:00,640 --> 00:06:05,600
+في ده اكتبها W net بيسوى Delta K جديش اتفاق مع W
+
+78
+00:06:05,600 --> 00:06:09,960
+net في القوة المماطسية؟ اذا Delta K جديش؟ طب ايش
+
+79
+00:06:09,960 --> 00:06:16,500
+Delta K؟ مين يقول ليهاش بيسوى؟دلتا K ماش هي K
+
+80
+00:06:16,500 --> 00:06:23,020
+final ناقص K initial
+
+81
+00:06:23,020 --> 00:06:32,140
+نص M V final تربية ناقص V initial تربية
+
+82
+00:06:35,180 --> 00:06:44,280
+ماذا يعني ذلك؟ V تربيع مرموز V تربيع
+
+83
+00:06:44,280 --> 00:06:47,760
+مرموز
+
+84
+00:06:47,760 --> 00:06:51,400
+V تربيع مرموز V تربيع مرموز V تربيع مرموز V تربيع
+
+85
+00:06:51,400 --> 00:06:52,480
+مرموز V تربيع مرموز V تربيع مرموز V تربيع مرموز V
+
+86
+00:06:52,480 --> 00:06:52,480
+تربيع مرموز V تربيع مرموز V تربيع مرموز V تربيع
+
+87
+00:06:52,480 --> 00:06:52,500
+مرموز V تربيع مرموز V تربيع مرموز V تربيع مرموز V
+
+88
+00:06:52,500 --> 00:06:52,720
+تربيع مرموز V تربيع مرموز V تربيع مرموز V تربيع
+
+89
+00:06:52,720 --> 00:06:59,560
+مرموز V تربيع مرموز V تربيع مإيه تربيع؟ E dot E و
+
+90
+00:06:59,560 --> 00:07:02,840
+ال dot ممكن تكون scalar ولا vector إذا ال V تربيع
+
+91
+00:07:02,840 --> 00:07:05,600
+is .. طب أبلاش ال كائنات ال E هي جيه؟ vector ولا
+
+92
+00:07:05,600 --> 00:07:09,260
+zero ولا scalar إذا ال V تربيع هي ممكن تكون vector
+
+93
+00:07:09,260 --> 00:07:13,340
+ولا scalar إذا هذه speed مش velocity شباب هذه
+
+94
+00:07:13,340 --> 00:07:17,540
+speed ال V تربيع معناته لما اتعامل مع speeds ال
+
+95
+00:07:17,540 --> 00:07:21,180
+direction مروح dot product تمام؟ إيش بيقول إيه
+
+96
+00:07:21,180 --> 00:07:24,320
+معناته؟ معناته ال speed ال initial بيصير ال speed
+
+97
+00:07:24,320 --> 00:07:28,240
+ال finalطيب، واحدة واحدة هل يكفي قوة ولا مافيش
+
+98
+00:07:28,240 --> 00:07:34,440
+قوة؟ في قوة الـ Newton التاني إيش بيقول؟ بيقول F
+
+99
+00:07:34,440 --> 00:07:40,520
+بتساوي M فيه فيه قوة فيه acceleration ولا لأ؟ طيب،
+
+100
+00:07:40,520 --> 00:07:45,560
+إيش وقت الـA مع السرعة؟
+
+101
+00:07:45,560 --> 00:07:51,420
+DV على GT ما زال فيه قوة، إذا السرعة ممكن يكون
+
+102
+00:07:51,420 --> 00:07:58,360
+ثابتةلأ ممنوع يكون فيه أبتعد إذا فيه قوة بيقولي
+
+103
+00:07:58,360 --> 00:08:02,740
+هذه لازم تكون قيمة يعني V is variable V is
+
+104
+00:08:02,740 --> 00:08:06,680
+variable و هنا بيقولي ال speed is constant هل في
+
+105
+00:08:06,680 --> 00:08:14,340
+تناقض؟ لأالـ direction بتغير لأن ال velocity هي
+
+106
+00:08:14,340 --> 00:08:18,280
+عبارة عن speed و direction ال speed ثابت ده اللي
+
+107
+00:08:18,280 --> 00:08:21,700
+عندك ال direction غيره كيف ما بدك إذا مافيشش تناقض
+
+108
+00:08:21,700 --> 00:08:26,300
+المعلومة الآن إن ال velocity لازم تكون متغيرة و ال
+
+109
+00:08:26,300 --> 00:08:29,800
+speed لازم تكون ثابتة بالتالي المتغير الوحيد في ال
+
+110
+00:08:29,800 --> 00:08:33,480
+velocity هو ال direction تمام إذا المعلومة اللي
+
+111
+00:08:33,480 --> 00:08:39,080
+أنا بدي أثبتها بيقول إذا magnetic force كان نت
+
+112
+00:08:40,390 --> 00:08:46,570
+تغيّر سرعة البرتكيل. مستحيل تغيّر السرعة من قانون
+
+113
+00:08:46,570 --> 00:08:50,270
+هذا. W بيستخدر تكيير و W التفاخنة دايماً Zero
+
+114
+00:08:50,270 --> 00:08:54,310
+للمقناطية الفورية. إذن، المقناطية الفورية مستحيلة
+
+115
+00:08:54,310 --> 00:08:58,590
+تغيّر أي سرعة. السرعة الأولى بيستخدر السرعة
+
+116
+00:08:58,590 --> 00:09:05,050
+الأخيرة.طب هو في حركة بتكون فيها السرعة ثابتة وفي
+
+117
+00:09:05,050 --> 00:09:12,490
+قوة؟ أي حركة؟ الحركة الدائلية.الحركة الدائرية لو
+
+118
+00:09:12,490 --> 00:09:15,090
+كانت لسبيل ثابتة فيها عندك acceleration
+
+119
+00:09:15,090 --> 00:09:20,090
+centripetal مركزي الcentripetal مركزي جاي فقط من
+
+120
+00:09:20,090 --> 00:09:24,110
+تغير الاتجاه إذا الممكن يكون عندك حركة دورانية في
+
+121
+00:09:24,110 --> 00:09:27,050
+الحركة الدورانية فيه إمكانية الاتجاه يكون ثابت؟
+
+122
+00:09:27,050 --> 00:09:30,610
+إذا دائما متغير ولا لا؟ المهم إن القوة المناطسية
+
+123
+00:09:30,610 --> 00:09:34,170
+بتغير فقط الاتجاه إذا كل جسم في مجال مناطسي بتكون
+
+124
+00:09:34,170 --> 00:09:39,430
+حركته كيف؟ دائرية قطعادارية قطعة قادمة تشوف هذه
+
+125
+00:09:39,430 --> 00:09:43,560
+المثالة البسيطةبقول ان electron هجيتي ال electron
+
+126
+00:09:43,560 --> 00:09:46,280
+شو هتمو ده بوا لسالبة؟ بدي اعرف انها سالبة بدي
+
+127
+00:09:46,280 --> 00:09:49,780
+احطها سالبة لإن انا محطت القانون شباب هال Q حطتها
+
+128
+00:09:49,780 --> 00:09:52,820
+absolute value لأ إذا هال Q لو كانت negative بتعوض
+
+129
+00:09:52,820 --> 00:09:56,700
+ايها ما جيتها واضح؟ مش ان ان ال electron حط محالها
+
+130
+00:09:56,700 --> 00:09:59,720
+E بيحط سالب E في هذه الحالة تمام، an electron
+
+131
+00:09:59,720 --> 00:10:03,640
+moves with a speed of eight ten to power six
+
+132
+00:10:03,640 --> 00:10:07,120
+meters per second along the x-axis وقت ان احطه
+
+133
+00:10:07,120 --> 00:10:12,890
+كبيكر هدا V كيف اتجاوز؟هل أضع جانبه I ولا لأ؟ أضع
+
+134
+00:10:12,890 --> 00:10:16,370
+جانبه I لأنه بتجاه مؤهل الصين الموجب Along the x
+
+135
+00:10:16,370 --> 00:10:20,850
+-axis in a region of uniform magnetic field قيمته
+
+136
+00:10:20,850 --> 00:10:25,290
+over O25 Tesla طب ال direction will be directed at
+
+137
+00:10:25,290 --> 00:10:29,130
+an angle 60 degree to the x-axis ب160 درجة مع ال x
+
+138
+00:10:29,130 --> 00:10:33,090
+-axis قدر نرسمهاCalculate the magnitude and the
+
+139
+00:10:33,090 --> 00:10:35,270
+direction of the magnetic force acting on the
+
+140
+00:10:35,270 --> 00:10:38,210
+electron as it enters the region of B
+
+141
+00:10:52,600 --> 00:10:57,400
+طبعا يعني هو بقول لو هذا البروتور بعمل أصابع حتة
+
+142
+00:10:57,400 --> 00:11:00,560
+أو أربعة بلغ فيه قطعة out لكي عشان ال product يصير
+
+143
+00:11:00,560 --> 00:11:05,000
+into تمام يعني نقص K صحيح ده؟ خلنا نحل هالحل بديش
+
+144
+00:11:05,000 --> 00:11:07,820
+أنا ببقى صبيحي اقول تعرفش تعمل كرسي و بضارة؟ بعرف
+
+145
+00:11:07,820 --> 00:11:10,100
+اعمل كرسي و بضارة مش تعلمنا في زي عريف كيف تعمل
+
+146
+00:11:10,100 --> 00:11:14,320
+كرسي و بضارة؟ اتعلمنا من قول solution expressing v
+
+147
+00:11:14,320 --> 00:11:18,380
+and b in vector rotations اكتر من كدكتورز heavy في
+
+148
+00:11:18,380 --> 00:11:22,840
+مشكلة بتبقى هيك v؟باتجاه الـ I لأن هو along the X
+
+149
+00:11:22,840 --> 00:11:27,680
+-Axis الـ X-Axis بمثلها الـ I هدا هي طيب ال B إيش
+
+150
+00:11:27,680 --> 00:11:34,500
+هحطها؟ I ولا J؟ بتحللها؟ طب حللها، هدا حللت O
+
+151
+00:11:34,500 --> 00:11:39,300
+count of 25 Cos 60 باتجاه ال I و O count of 25 Sin
+
+152
+00:11:39,300 --> 00:11:43,800
+θ باتجاه J بعد ما حصلت طلعت هكذا، قالوا يا الله
+
+153
+00:11:43,800 --> 00:11:46,300
+مايكروس يبقى ضخم، طب يا الله لأ مايكروس يبقى ضخم،
+
+154
+00:11:46,300 --> 00:11:51,540
+هذا هو حقة السبب، هم يقولون إيهعشان الالكترون ناقص
+
+155
+00:11:51,540 --> 00:11:55,480
+1.6 x 10 to the power of minus 19 قال لي ال .. ال
+
+156
+00:11:55,480 --> 00:12:00,100
+.. بي و بي cross ال بي V هي cross ال بي او cross
+
+157
+00:12:00,100 --> 00:12:04,180
+ال بودكت كيف بيعمل cross ال بودكت هي شباب بيدربوا
+
+158
+00:12:04,180 --> 00:12:07,020
+في قوس هاد يدربوا في هاد cross ال بودكت ايش بيطلع
+
+159
+00:12:07,020 --> 00:12:11,380
+سيفر بره لأن I cross ال I هو Zero او I cross ال J
+
+160
+00:12:11,380 --> 00:12:18,270
+K وفيه ناقص صار ناقص K إذا انتوا لماشيأضرب فضربت
+
+161
+00:12:18,270 --> 00:12:24,030
+ناقص one point six هدى في هدى ماضربتش هدى مش واحد
+
+162
+00:12:24,030 --> 00:12:27,710
+يقول يبقى خير و انا وديت هدى و هدى و انا راح لأنه
+
+163
+00:12:27,710 --> 00:12:32,570
+I cross ال I zero فضربت هدى في هدى تمام I cross ال
+
+164
+00:12:32,570 --> 00:12:36,630
+G طلع K و هنا في ناقص طلع ناقص K انتوا ببيجوا نفس
+
+165
+00:12:36,630 --> 00:12:39,850
+العملية ال E بتطلع نفس النتيجة انا بدون ما استخدم
+
+166
+00:12:39,850 --> 00:12:44,040
+ال E طلعت النتيجة في مشكلة؟هذه أسئلة وهذه مثال
+
+167
+00:12:44,040 --> 00:12:51,620
+كثير سهل تطبيق فقط على القانون تمام طبعا كيف ننزيج
+
+168
+00:12:51,620 --> 00:12:55,620
+قانون ننزيج نقول اتجاه القوة لازم اعرف اتجاه القوة
+
+169
+00:12:55,620 --> 00:12:59,700
+كيف اما بعصابيعي بس انتهلها او cross product
+
+170
+00:12:59,700 --> 00:13:04,800
+بطلحها تمام هجيب اننا نخش بترسيل الحركة تبع
+
+171
+00:13:04,800 --> 00:13:12,370
+الشحنات اتفقنا انه ان ماعلمتينإن الأول لازم يكون
+
+172
+00:13:12,370 --> 00:13:16,370
+فيه تسرق لأنه فيه قوة يعني لازم ال velocity must
+
+173
+00:13:16,370 --> 00:13:19,670
+be changed والمعلومة التانية ال speed must be
+
+174
+00:13:19,670 --> 00:13:23,550
+constant صحيح ولا لأ؟ هذه العركة كيف بدها تصير؟
+
+175
+00:13:23,550 --> 00:13:25,990
+بقول emotion of a charged particle in magnetic
+
+176
+00:13:25,990 --> 00:13:29,430
+field ادرسليها بقول in the previous section اللي
+
+177
+00:13:29,430 --> 00:13:33,390
+خلصته أنا we said that the static magnetic force
+
+178
+00:13:33,390 --> 00:13:36,470
+could not alter the speed of the particle alter
+
+179
+00:13:36,470 --> 00:13:41,020
+يعني change بتغيرش ال speed of the particleلذلك
+
+180
+00:13:41,020 --> 00:13:44,520
+السرعة لا تتغير، فالضرر يتسوّق القوة وتغير
+
+181
+00:13:44,520 --> 00:13:47,600
+الاتجاه، لذلك الشيء الوحيد اللي يمكن فعله القوة
+
+182
+00:13:47,600 --> 00:13:52,960
+المغناطية هي تغيير اتجاه السرعة،
+
+183
+00:13:55,330 --> 00:13:58,690
+تمام؟ حلو؟ the acceleration therefore is
+
+184
+00:13:58,690 --> 00:14:02,750
+centripetal واللي لما يتغير فقط ال direction بيكون
+
+185
+00:14:02,750 --> 00:14:06,170
+عندي اتصاله .. بسميه اتصاله مركزي .. ده من ناتج من
+
+186
+00:14:06,170 --> 00:14:09,870
+تغير ال direction الcentripetal acceleration ..
+
+187
+00:14:09,870 --> 00:14:12,290
+كنا زمان نبتدي نجيبها السؤال في المقر بالتشويز
+
+188
+00:14:12,290 --> 00:14:15,710
+نقول .. the centripetal acceleration is due to the
+
+189
+00:14:15,710 --> 00:14:18,990
+change of what؟ the direction of the velocity
+
+190
+00:14:19,420 --> 00:14:23,440
+مازالت بيردش فقط هو بتغير؟ إذا التصرع قطعا مركزي
+
+191
+00:14:23,440 --> 00:14:28,090
+طب إذا التصرع مركزي القوة إيش بيبقى؟ مركزييقول إن
+
+192
+00:14:28,090 --> 00:14:33,890
+الهجوم قوى مركزية و كذلك القوة المركزية هذا يعني
+
+193
+00:14:33,890 --> 00:14:37,810
+أن مجلد محرك يتحرك في طريق مجلد مجلد مجلد مجلد
+
+194
+00:14:37,810 --> 00:14:38,030
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+195
+00:14:38,030 --> 00:14:38,530
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+196
+00:14:38,530 --> 00:14:41,330
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+197
+00:14:41,330 --> 00:14:42,310
+مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد
+
+198
+00:14:42,310 --> 00:14:42,310
+مجلد
+
+199
+00:14:53,200 --> 00:14:56,920
+هذه الحركة تطبع أن الجواص ميت ألف شكل له وليس كل
+
+200
+00:14:56,920 --> 00:14:59,960
+جواص عبارة عن دائرة الدائرة يزق من القواص يعني نوع
+
+201
+00:14:59,960 --> 00:15:03,660
+معين من القواص تمام بقول وقتش يكون الحركة دورانية
+
+202
+00:15:03,660 --> 00:15:07,780
+مظبوط بقول if the magnetic field is uniform and
+
+203
+00:15:07,780 --> 00:15:11,420
+the initial velocity of the particle is normal to
+
+204
+00:15:11,420 --> 00:15:16,160
+the direction of B أو V وB متعمدين لما يقول V وB
+
+205
+00:15:16,160 --> 00:15:20,000
+متعمدين ايه الصراحة في cross production بقى؟سنة
+
+206
+00:15:20,000 --> 00:15:24,240
+تسعين جدا واحد إذا P و P متعاملين بيقول في هذه
+
+207
+00:15:24,240 --> 00:15:28,280
+الحالة the particle will move in a circle بصي عندك
+
+208
+00:15:28,280 --> 00:15:32,580
+حركة دورانية منتظمة نسميناها زمان في القوة
+
+209
+00:15:32,580 --> 00:15:37,000
+المنتظمة بيقول إن هذه بيساوي MV تربيه على R فده دي
+
+210
+00:15:37,000 --> 00:15:40,020
+هذي بتساقط المركزي هي القانون اللي بيضحكوه الآن
+
+211
+00:15:41,250 --> 00:15:44,410
+مافيش قانون جديد since the magnetic force is
+
+212
+00:15:44,410 --> 00:15:47,150
+always perpendicular to both v and b the circle in
+
+213
+00:15:47,150 --> 00:15:51,070
+a plane is a plane normal to the direction of the
+
+214
+00:15:51,070 --> 00:15:53,570
+magnetic field ده دي .. ده دي اللي بنشوفها now we
+
+215
+00:15:53,570 --> 00:15:58,230
+have f بتسوي q v cross ال b و بتسوي mv تربيع على a
+
+216
+00:15:58,230 --> 00:16:03,310
+بما أنه قوة centripetal إذا بتتصرف centripetal و
+
+217
+00:16:03,310 --> 00:16:05,490
+التصرف على الcentripetal بتسوي v تربيع على a
+
+218
+00:16:05,490 --> 00:16:09,470
+القانون اللي عرفناها من أول فدهوطيب لو V و V
+
+219
+00:16:09,470 --> 00:16:14,590
+متعامدات نصيحة القانون V و V متعامدات و بيقولك نصا
+
+220
+00:16:14,590 --> 00:16:17,870
+ان V and B is perpendicular عشان تقولك روح ال game
+
+221
+00:16:17,870 --> 00:16:23,990
+لكس الوضع طب الأهمش هاد ال V بتطيع هادي لو قولك او
+
+222
+00:16:23,990 --> 00:16:28,370
+دي ضعف يدك تجيبها بدك B بتجيبها بدك V بتجيبها اللي
+
+223
+00:16:28,370 --> 00:16:31,030
+بدك ايه انها دي معادلة بتجيبها المهم ايش اعطيك و
+
+224
+00:16:31,030 --> 00:16:34,090
+ايش يقولك مجهول بس ال spirit of diversity صح؟ من
+
+225
+00:16:34,090 --> 00:16:39,240
+حكى انها velocity؟عشان انا شوية جيبلي a cross ال b
+
+226
+00:16:39,240 --> 00:16:44,880
+و اكتبليها كصيغة بجلد ال sign تكتب
+
+227
+00:16:44,880 --> 00:16:52,760
+a b sine الزاوية ايش هذي مش انك تعمل هيك اصلا هي
+
+228
+00:16:52,760 --> 00:16:57,640
+ال magnitude of the velocity وهي this speed تمام؟
+
+229
+00:16:57,640 --> 00:16:59,860
+بس لو حولتها ل sine و cosine بطلت فيها عندك
+
+230
+00:16:59,860 --> 00:17:04,780
+vectors احنا لما تقول a بطل b ايه بيساوي
+
+231
+00:17:07,670 --> 00:17:10,630
+بكسان الزاوية إذا magnitude of a في magnitude of b
+
+232
+00:17:10,630 --> 00:17:15,410
+في كسان الزاوية a cross ال b magnitude of a في
+
+233
+00:17:15,410 --> 00:17:19,350
+magnitude of b في sin الزاوية مجرد عدد ال sin
+
+234
+00:17:19,350 --> 00:17:21,330
+يخلقوا magnitude على طول تمام
+
+235
+00:17:24,090 --> 00:17:29,150
+عامل هنا بقدر اخلع نص القطر طب لو قالك اوضد ال
+
+236
+00:17:29,150 --> 00:17:34,050
+angular velocity او ال frequency بتقدر تجيبه ال
+
+237
+00:17:34,050 --> 00:17:38,630
+frequency مع مين برضه؟ بتبقى معاه كمية ما هو زمان
+
+238
+00:17:38,630 --> 00:17:44,510
+مش موجود مع omega و omega مش مربوط مع هدول مش
+
+239
+00:17:44,510 --> 00:17:48,230
+omega بسبب V4 لو جيبت omega بتقدر تجيب ال
+
+240
+00:17:48,230 --> 00:17:51,040
+frequency بتقدر تجيب الزمان الدوريطب اذا انا عرفت
+
+241
+00:17:51,040 --> 00:17:54,660
+هذه الانجلال الفيكوانسي انت بيري دي الموشيين ار
+
+242
+00:17:54,660 --> 00:17:57,520
+اوميجا بدي ابيع الار و الامد دي بزمن الدوري برضه
+
+243
+00:17:57,520 --> 00:18:00,300
+بدي ابيعه هذه المعلومات السابقة موجودة مافيش فيها
+
+244
+00:18:00,300 --> 00:18:05,180
+اي مشكلة لحد الان ماعندي القانون الوحيد اف ساوي
+
+245
+00:18:05,180 --> 00:18:09,520
+كيو فيكو سربيه الاف مركزية هذه مش معلومة جديدة ان
+
+246
+00:18:09,520 --> 00:18:12,900
+بيه تربيع على ا معلومة سابقة ومعروفة اذا مافيش
+
+247
+00:18:12,900 --> 00:18:15,900
+عندي اي معلومات بس المعلومة اللي خدتها انه لازم
+
+248
+00:18:15,900 --> 00:18:18,820
+الحواكب تكون دورانية عشان كده بقدر اكتب هذا شكل من
+
+249
+00:18:18,820 --> 00:18:24,480
+المعادلةطبعا كيف بدي أعرف الجسم التفاقنا بدي دور
+
+250
+00:18:24,480 --> 00:18:26,880
+طب بدي دور مع أقرب الساعة و لا ضد أقرب الساعة
+
+251
+00:18:26,880 --> 00:18:30,780
+بأتمل على تجاه المجال و على نقطة الشحنة صح ولا لأ
+
+252
+00:18:30,780 --> 00:18:34,060
+خلينا نجربك التالي هل عندي مجال يبين جده و يبين
+
+253
+00:18:34,060 --> 00:18:38,280
+اتجاهه cross يعني ايش ال federation هل عندي شحنة
+
+254
+00:18:38,280 --> 00:18:42,000
+موجبة كيب المينة و ايه جيه الكيب ده تتحرك مع أقرب
+
+255
+00:18:42,000 --> 00:18:44,480
+الساعة و لا ضد أقرب الساعة كيف بدي أعرفه من أيديكم
+
+256
+00:18:44,480 --> 00:18:48,100
+اتجاه الأيدي اللي أخدته في المدارس معصر
+
+257
+00:18:54,550 --> 00:18:58,410
+لأ انت بيقولي الصورة عين .. انت اهو كده بتتحرك ..
+
+258
+00:18:58,410 --> 00:19:01,310
+انا بقولك كده بتتحرك .. هي اهو الصورتها .. انتش
+
+259
+00:19:01,310 --> 00:19:04,250
+اللي عارفه .. بيه معروف او مش معروف .. فمن يقولي
+
+260
+00:19:04,250 --> 00:19:09,710
+قداش أفوان تجاهها ..
+
+261
+00:19:09,710 --> 00:19:14,390
+اللي انا بتقولك هو ده افوه .. centripetal .. ليه
+
+262
+00:19:14,390 --> 00:19:20,200
+سميتها centripetal انا ..سمّتها مركزية لكن غايه ان
+
+263
+00:19:20,200 --> 00:19:23,200
+انا أسميها مركزية و انا أسلم نتجاه المركزي طيب مين
+
+264
+00:19:23,200 --> 00:19:25,800
+هو .. مين بيبدأ على قوم الشهداء؟ بيبدؤوا على
+
+265
+00:19:25,800 --> 00:19:33,200
+المركز و .. و اتنى اصابيهم مع المجال يلّا مال انت
+
+266
+00:19:33,200 --> 00:19:42,080
+ذاك حول اليوم؟ شباب ادهاركم من دفوع المركزي عشان
+
+267
+00:19:42,080 --> 00:19:45,800
+اقعدني هيك اصابيهم كله كله اذا كذا اصابني الأربعة
+
+268
+00:19:45,800 --> 00:19:52,540
+بضعة قارب الساعةلازم تكون ضد عقارب الساعة، مظبوط
+
+269
+00:19:52,540 --> 00:20:00,360
+او لا؟ قاعد؟ ابهامكم مع المركز، لأنه تجاه القوة
+
+270
+00:20:00,360 --> 00:20:06,000
+المركزية، بدياكم تعرفوا تتنو into the beige مع
+
+271
+00:20:06,000 --> 00:20:11,080
+المجال، كيف لازم تكون متوجهين؟ عكس عقارب الساعة،
+
+272
+00:20:11,080 --> 00:20:13,900
+طيب لو لت مجال out of the beige، طلعوا عليه كيف
+
+273
+00:20:13,900 --> 00:20:16,620
+يكون؟ out of the beige، كيف تعملوا الادارة؟
+
+274
+00:20:23,990 --> 00:20:27,850
+مظبوط عشان اتي هيك شباب و بيكون هاد هيك هيك لازم
+
+275
+00:20:27,850 --> 00:20:32,870
+يكون صح لازم يكون ايدي هيك ايدي هيك ماتويش معاقلة
+
+276
+00:20:32,870 --> 00:20:35,150
+بالساعة ولا لأ لإن ابهامي لازم يكون في اتجاه
+
+277
+00:20:35,150 --> 00:20:38,030
+المركز قطعا و انا بدي أتى لو كان هدي out و انا out
+
+278
+00:20:38,030 --> 00:20:40,770
+of the page اذا لازم يكونوا أصمي ايه هيك مفهوش
+
+279
+00:20:40,770 --> 00:20:44,030
+يكونوا هيك لو كانوا هيك صراعيش ابهامي مش اتجاه
+
+280
+00:20:44,030 --> 00:20:46,590
+المركز فارح؟ اذا ..
+
+281
+00:20:55,100 --> 00:20:59,960
+عشان تظبطوا معاكم بالظبط و تعرفوها حطوا هادي جناد
+
+282
+00:20:59,960 --> 00:21:07,500
+الصحة هل جيت المال القوة المركزية كيف اتجاهها I
+
+283
+00:21:07,500 --> 00:21:09,340
+ولا J ولا Q ولا نقص I
+
+284
+00:21:12,340 --> 00:21:17,320
+بتساوي Q V X B طب أنا انا هعمل شو احنا بيجيبها هد
+
+285
+00:21:17,320 --> 00:21:21,980
+يقف التفاق من نقص R بتساوي .. هد بقفهاش V X
+
+286
+00:21:21,980 --> 00:21:40,260
+بيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكيكي
+
+287
+00:21:43,950 --> 00:21:49,130
+أنا بدي أضرب حاجة في الـK و يطلع معايا I لو ضربت J
+
+288
+00:21:49,130 --> 00:21:55,830
+في الـK بيطلع out J في الـK إذا القوة الأعلى مزان
+
+289
+00:21:55,830 --> 00:21:58,570
+الأعلى هو هنا إذا دُع قارب الساعة دي كمين ولا
+
+290
+00:21:58,570 --> 00:22:04,070
+ماعنى؟ دُع قارب الساعة طبع واحد جالي طبع انت لاش
+
+291
+00:22:04,070 --> 00:22:09,170
+خد تانى خدها هنا طبعكم صح؟ لو كانت هنا كيف رفضت
+
+292
+00:22:09,170 --> 00:22:18,670
+تكون السرعة؟ ناقص Iنقص I القوة كيف؟ القوة نقص J،
+
+293
+00:22:18,670 --> 00:22:24,610
+بدأ يصير هذه نقص J، وهذه نقص K، نقص مع نقص أعلى،
+
+294
+00:22:24,610 --> 00:22:30,990
+بدأ يكون عندي، بدأ أضغط في K يطلع Jلو جوابت K في
+
+295
+00:22:30,990 --> 00:22:36,050
+I، بدها تكون I في K، دي السعري، بيديها السعري في
+
+296
+00:22:36,050 --> 00:22:40,870
+I، اللي بتلعب هيك، لو اكتملوا لكن أصبعكم، الأربعة
+
+297
+00:22:40,870 --> 00:22:45,270
+بتجيبها على طول، لو ماكنش طبعا طول بديكم، كانوا
+
+298
+00:22:45,270 --> 00:22:49,270
+قادلين، فبنبط معاكم، بتطلع معاكم، حق، مديش إياكم
+
+299
+00:22:49,270 --> 00:22:52,270
+أنت بتلف واحد يقولي بدي ألف عصابي عيك، ملتفوا إيه
+
+300
+00:22:52,270 --> 00:22:56,230
+عصابيكم؟ قد منتميوا هيكمش واحد يقولها يوم تانو ..
+
+301
+00:22:56,230 --> 00:23:01,210
+ضبطك معاه .. continue الشيء .. مع طبيعته .. تمام
+
+302
+00:23:01,210 --> 00:23:04,570
+.. هذه المعلومة هيكتر .. بس يا رب بقولك من ال
+
+303
+00:23:04,570 --> 00:23:08,650
+sense .. تعالي أفهم .. ال sense of rotation can be
+
+304
+00:23:08,650 --> 00:23:11,590
+determined again from the right hand rule .. نفس
+
+305
+00:23:11,590 --> 00:23:14,950
+القضية .. بيقول .. the thumb must now point
+
+306
+00:23:14,950 --> 00:23:18,850
+towards the center .. ليش؟ بيقول .. the elevation
+
+307
+00:23:18,850 --> 00:23:22,440
+of the force ..لأن الـ force is centrimetal
+
+308
+00:23:22,440 --> 00:23:25,740
+..centrimetal يعني باتجاه المركز .. عشان كده سمّت
+
+309
+00:23:25,740 --> 00:23:29,540
+القوة مركزية .. لإن دائما points towards the
+
+310
+00:23:29,540 --> 00:23:33,580
+centers .. if P is directed into the page زمان هي
+
+311
+00:23:33,580 --> 00:23:36,400
+مرسومة .. a positive charge will rotate counter
+
+312
+00:23:36,400 --> 00:23:41,400
+clockwise .. فبالواقع نجاتي الفحصوالانجليزي يتشاجر
+
+313
+00:23:41,400 --> 00:23:45,840
+بروتين كلوك و عزيزي فاهمة الشباب هذه كيف بتلف طبعا
+
+314
+00:23:45,840 --> 00:23:48,220
+كيف تعملوها تطلع نفس الشغل عادي تعملوها كرسي
+
+315
+00:23:48,220 --> 00:23:52,000
+بوردكت عادي IGUJ و كده او تستخدمو ايدكو مليونة
+
+316
+00:23:52,000 --> 00:23:55,660
+تطلع نفس القضية هذه بس هيك
+
+317
+00:24:12,800 --> 00:24:17,380
+طبعا شغال الحركة بتكون دائرة فقط في عندى شرطين انه
+
+318
+00:24:17,380 --> 00:24:22,660
+B تكون Uniform و B متعامدات و B نصف غير كده احنا
+
+319
+00:24:22,660 --> 00:24:27,480
+مش معنين فيها طبعا في الأمور المتقدمة .. في الأمور
+
+320
+00:24:27,480 --> 00:24:30,880
+المتقدمة بيقولوناش هذا الكلام بيقولك اثبت انها
+
+321
+00:24:30,880 --> 00:24:34,560
+دائرة طب احنا بنعرف كيه بدي اثبت بيقولك اشتغل
+
+322
+00:24:34,560 --> 00:24:37,300
+رياضيات و طلع معادلة الدائرة بتعرف معادلة الدائرة؟
+
+323
+00:24:44,110 --> 00:24:54,050
+أو او x-a تربيه زاد y-b تربيه بيسوي a تربيه على
+
+324
+00:24:54,050 --> 00:24:58,830
+أساس ان ال a بيكون a سبعة السلطة مظلوة او لا؟ وكيف
+
+325
+00:24:58,830 --> 00:25:03,370
+انت تثبت انها بيه تقول كده؟ مش انت بتقول f بيسوي q
+
+326
+00:25:03,370 --> 00:25:08,460
+v cross بيهمفروض ان احد المتعمدين ينصر فيك ويقول
+
+327
+00:25:08,460 --> 00:25:15,460
+له هذا كيف يتعمل اقول him dv على dk وهذه تبدأ
+
+328
+00:25:15,460 --> 00:25:18,720
+تشتغل فيها معادلة تفضلية وتتكامل وتعمل تطلع هذا
+
+329
+00:25:18,720 --> 00:25:23,140
+المعادلة معكطبعا احنا بنعملها سنة تالتة بنعملها و
+
+330
+00:25:23,140 --> 00:25:25,860
+بالثباتها بتطلع عندى معادلة هدى ألف بتشتريها
+
+331
+00:25:25,860 --> 00:25:29,400
+بخطوطين بس شوية differential equation اللى بيعرفه
+
+332
+00:25:29,400 --> 00:25:32,240
+differential equation بتطلع معاه البعادلة بس احنا
+
+333
+00:25:32,240 --> 00:25:37,810
+اللى انا مقتنعين ماذا اللى speak ثابتةأذا قطعا
+
+334
+00:25:37,810 --> 00:25:41,030
+التصارع المركزي مازال تصارع مركزي ده حاجة دورانية
+
+335
+00:25:41,030 --> 00:25:44,490
+انتهت هل بيبقى غزبتها رياضيا؟ بيقولك كده غزبتها
+
+336
+00:25:44,490 --> 00:25:49,090
+جاي قلب لو كانت V وB مش متعمدين بينهم زاوية إيش
+
+337
+00:25:49,090 --> 00:25:54,770
+بيطلع؟ ده لك بيطلع معادلة الهليكس شكل حزوني وهدي
+
+338
+00:25:54,770 --> 00:25:58,330
+برضه إيه معادلة رياضية بتطلع معاك برضه لو كانت V
+
+339
+00:25:58,330 --> 00:26:02,510
+وB مش متعمدينهذه خلصنا منها فهي طبعا ال F و ال V
+
+340
+00:26:02,510 --> 00:26:05,750
+طبعا ان ال F مركز يقعط عنه و ال V تاني هي الكوكب
+
+341
+00:26:05,750 --> 00:26:09,440
+تعرفوهيقول if the velocity of the charged particle
+
+342
+00:26:09,440 --> 00:26:12,440
+and the magnetic field are not perpendicular مكنوش
+
+343
+00:26:12,440 --> 00:26:16,700
+متعامدين وبالتالي فيه صيني الزاوية the birth of a
+
+344
+00:26:16,700 --> 00:26:21,040
+helix whose axis is parallel to B بيكون helix بس
+
+345
+00:26:21,040 --> 00:26:25,460
+إيش هي دائرة بس إيش helix هو دائرة تنشيت صح ولا لأ
+
+346
+00:26:25,460 --> 00:26:30,320
+لما الدائرة هي حالة دوامية بس بتتحرك فبتشكل شكلها
+
+347
+00:26:30,320 --> 00:26:33,580
+ألزوني زي الظلمة الظلمة بالظبط بيكون هيك شكلها
+
+348
+00:26:33,580 --> 00:26:37,270
+وهذا اتجاه الصلاة يا شبابتكون تتحول، لكن لما يكون
+
+349
+00:26:37,270 --> 00:26:41,390
+متعاندين، تصير لأ السرعة بضارة أكتر، المركز بيغيرش
+
+350
+00:26:41,390 --> 00:26:45,430
+زي لما يكون السرعة مش متعاندة، مش مهم، تشوف رقم
+
+351
+00:26:45,430 --> 00:26:50,140
+السرعةفقضيق مباشر، شوفوا الأمثلة أغلبها كثير سهلة
+
+352
+00:26:50,140 --> 00:26:56,980
+بيقول الإلكترون جسمه شحنته ثاني بأو لا؟ ثاني بأو
+
+353
+00:26:56,980 --> 00:26:57,240
+لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني
+
+354
+00:26:57,240 --> 00:26:58,620
+بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟
+
+355
+00:26:58,620 --> 00:26:59,220
+ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو
+
+356
+00:26:59,220 --> 00:27:01,760
+لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني
+
+357
+00:27:01,760 --> 00:27:06,100
+بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأو لا؟
+
+358
+00:27:06,100 --> 00:27:13,360
+ثاني بأو لا؟ ثاني بأو لا؟ ثاني بأوأصلا صراعة أما
+
+359
+00:27:13,360 --> 00:27:17,160
+هو كان في الأول ساكن هطلق اجري جباله و شحنه موجة
+
+360
+00:27:17,160 --> 00:27:21,420
+بقى اجري اجري صراعة بعد بوصل هنا دخلت مجال
+
+361
+00:27:21,420 --> 00:27:25,820
+مغناطيسي it then enters a region of uniform
+
+362
+00:27:25,820 --> 00:27:29,240
+magnetic field and follows a circular path طبعا
+
+363
+00:27:29,240 --> 00:27:33,640
+بدي اتحرك حاجة دورانية ما اتفقنا of radius 7.5 cm
+
+364
+00:27:33,640 --> 00:27:36,980
+و ذاك ال radius if its velocity is perpendicular
+
+365
+00:27:36,980 --> 00:27:40,340
+to b اللي قصة بوداك روحت تمام هي أعطاك المعلومة
+
+366
+00:27:40,340 --> 00:27:44,750
+كاملة إيش بده؟تقولي لـ magnitude of P، بدّو P،
+
+367
+00:27:44,750 --> 00:27:48,530
+بدّو P، the angular speed of the electron، بدّو
+
+368
+00:27:48,530 --> 00:27:54,970
+Omega، P القانون المعروف في ده، U, V, P، راح تقصه
+
+369
+00:27:54,970 --> 00:28:00,190
+بدا، فالحياة خلّت، بالثوري، M، V تربيع، عقلها،
+
+370
+00:28:00,190 --> 00:28:04,870
+بقلة، تمام، هذه الـV تربيع راح اتبع حالي، هذا ال
+
+371
+00:28:04,870 --> 00:28:05,970
+electrode، الـQ بتعرفوها؟
+
+372
+00:28:08,780 --> 00:28:12,080
+عرضه بأي مودة؟ أرض؟ أعطيكم إياها ولا لا؟ ماعطيكم
+
+373
+00:28:12,080 --> 00:28:15,220
+إياها .. تقوموا بدّوا بيه .. إيش بدّي؟ لازم بدّي
+
+374
+00:28:15,220 --> 00:28:19,460
+فيه .. بدّي فيه .. مش بدّيني دي .. لأن هذا اللي
+
+375
+00:28:19,460 --> 00:28:23,360
+صرعوا .. قلتلي أحطه شحنه مودة .. بعدده فرق جهود ..
+
+376
+00:28:23,360 --> 00:28:26,820
+فرق الجهود .. كيف بدي أجيبه؟ في خلاقة بين فرق
+
+377
+00:28:26,820 --> 00:28:31,120
+الجهود و ال potential energy؟ صح ولا لا؟
+
+378
+00:28:34,480 --> 00:28:38,820
+في علاقة بين دلتا U و كيناتك إينارجي دلتا U زي
+
+379
+00:28:38,820 --> 00:28:41,740
+دلتا K بتساوي سفر ولا لأ طب و إذا جيبت كيناتك
+
+380
+00:28:41,740 --> 00:28:44,360
+إينارجي جيبت الصراحة لما جيبتش الصراحة إذا إذا جيب
+
+381
+00:28:44,360 --> 00:28:48,780
+الصراحة بهذه الطريقة تمام؟ بيقول ياسوري يرشد to
+
+382
+00:28:48,780 --> 00:28:54,000
+find the speed of the electronأبدا ليش اسمه جاهزة؟
+
+383
+00:28:54,000 --> 00:28:57,500
+جالي و لا بطه ماعرف جالي انا عندي قرون بيقول delta
+
+384
+00:28:57,500 --> 00:29:01,360
+k زي دالتا u بتساوي صفر ذاكرينه؟ delta k زي دالتا
+
+385
+00:29:01,360 --> 00:29:04,440
+u بتساوي صفر او كنا نسميه w and c و مافيش احتكاك
+
+386
+00:29:04,440 --> 00:29:07,500
+على w and c بتساوي صفر اذا delta k زي دالتا u
+
+387
+00:29:07,500 --> 00:29:11,660
+equal to zero اذا delta k equal delta u بالثالث
+
+388
+00:29:11,660 --> 00:29:18,060
+فهي دي بتساوي q دالتا v هي دي الحالة حقا لأ تمام
+
+389
+00:29:18,060 --> 00:29:24,900
+ال q مش عاود عنكسالب E عشان هو Electron إذا بدّي
+
+390
+00:29:24,900 --> 00:29:27,540
+الـQ هذي بحث سلب E إيه الصورة اللي بحث سلب هذي
+
+391
+00:29:27,540 --> 00:29:32,640
+بالعالم؟ و الـE بعرفها ولا بعرفهاش؟ بعرفها و
+
+392
+00:29:32,640 --> 00:29:36,800
+capital V هنا 350 Volt
+
+393
+00:29:44,110 --> 00:29:49,150
+إذا دخل المجال المهماطيسي بالسرعة هذه اللي أنا بدي
+
+394
+00:29:49,150 --> 00:29:53,310
+إياها نص أن فيه تربيح بسوء E في V سالب مع سالب
+
+395
+00:29:53,310 --> 00:29:57,410
+واحد E و capital V اللي هو فرق الجود اللي أتاني
+
+396
+00:29:57,410 --> 00:30:07,910
+إياه حلو؟ إذا طلعت Vبتساوي 2E V على M 2 في 1.6
+
+397
+00:30:07,910 --> 00:30:13,330
+10⁻19 V is given and M is the mass of electron and
+
+398
+00:30:13,330 --> 00:30:20,690
+it is also given 9.11 10⁻31وبتطلع السرعة 1.1 into
+
+399
+00:30:20,690 --> 00:30:24,050
+powers of N طبعا سرعة كبيرة سرعة X1 تيجي سرعة
+
+400
+00:30:24,050 --> 00:30:28,230
+كبيرة جدا لأنها دخلت المجال المناطيسي دخلت لفة أول
+
+401
+00:30:28,230 --> 00:30:32,010
+ما دخلت لفة نصف قطر مقطع بجري جي بيه لأن السرعة
+
+402
+00:30:32,010 --> 00:30:39,030
+صارت نقطية بقول الآنبسوء N V على QR من هذا القرن
+
+403
+00:30:39,030 --> 00:30:45,470
+وليس من هذا القرن وغيره P بسوء N V على QR 8.4 X
+
+404
+00:30:45,470 --> 00:30:51,160
+10⁻⁴ Tesla طبعا ال Tesla شباب واحدة كبيرةفالتسلا
+
+405
+00:30:51,160 --> 00:30:53,900
+واحدة كبيرة لما اقول انا عندي واحد تسلا يعني
+
+406
+00:30:53,900 --> 00:30:56,920
+المجال مقاطسي قوي عشان كده غالبا بيستخدموا ال gas
+
+407
+00:30:56,920 --> 00:31:00,320
+لإن هو أصغر شوية فالتسلا واحدة كبيرة يعني لما أقول
+
+408
+00:31:00,320 --> 00:31:06,200
+واحد تسلا مقداره كبير وين قلت لك مني اللي أخدت
+
+409
+00:31:06,200 --> 00:31:08,500
+الموجة أبدا؟ ماعايز ساربها لو واحد ما سارب لها
+
+410
+00:31:08,500 --> 00:31:14,600
+ماخلص ماعود محل اللي هنا ماخدتاش يعني انا قاعد
+
+411
+00:31:14,600 --> 00:31:20,550
+بديب بي ك magnitude بديباش ال directionthe angular
+
+412
+00:31:20,550 --> 00:31:25,750
+speed omega بيساوي V على R و بطلها omega عادي زى
+
+413
+00:31:25,750 --> 00:31:28,710
+ما تشوفين الحياة دلوقت الأسئلة مافيش فيها أي مشكلة
+
+414
+00:31:28,710 --> 00:31:36,210
+تطبيق مناشر قانون وحيد Q في V كرسى B بيساوي FM ال
+
+415
+00:31:36,210 --> 00:31:41,610
+magnetic force هذه تحصيل حاصل الام magnetic force
+
+416
+00:31:41,610 --> 00:31:45,570
+on a current carrying wire تقول لي هو الشحنات أنا
+
+417
+00:31:45,570 --> 00:31:49,720
+أمري شفتهاأنا إيش اللي بحس فيه؟ هذا الضوء، بقول
+
+418
+00:31:49,720 --> 00:31:53,420
+فيه شحنات ولا فيه تيار في الآخر؟ تيار، طبعا التيار
+
+419
+00:31:53,420 --> 00:31:56,580
+ظلم أن مافيه شحنات متحركة، صح ولا لأ؟ إذا أنا بدي
+
+420
+00:31:56,580 --> 00:32:01,720
+قانون بدلالة التيار، التيار يعني فيه سلك، صح ولا
+
+421
+00:32:01,720 --> 00:32:05,940
+لأ؟ فبيقوللي أوجدلي magnetic force on a current
+
+422
+00:32:05,940 --> 00:32:11,440
+carrying wire لسلك يحمل تيار، حلو، هاي السلك
+
+423
+00:32:14,230 --> 00:32:17,910
+بقول it is known that current is a collective of
+
+424
+00:32:17,910 --> 00:32:22,470
+moving charges of the same sign صح تمام this mean
+
+425
+00:32:22,470 --> 00:32:24,930
+that any current carrying wire experiences a
+
+426
+00:32:24,930 --> 00:32:29,350
+magnetic force اذا اي سلكي بيحمل تيار معاهده فيه
+
+427
+00:32:29,350 --> 00:32:34,090
+شحنات تتحرك موجودة في مجال اذا بدتكون عليها قوة
+
+428
+00:32:34,090 --> 00:32:37,760
+معطصية ولا لا خلنا نقول التالي يا شبابلو انا عندي
+
+429
+00:32:37,760 --> 00:32:42,540
+مصغورة فاضية بلاستيك محطوطة عليها الطاولة و بتتحرك
+
+430
+00:32:42,540 --> 00:32:47,180
+ايش ده business ساعتها؟ بتتحرك هيك؟ في حاجة جوا
+
+431
+00:32:47,180 --> 00:32:51,240
+انما مركوبة؟ او في حاجة جوا بتتحرك؟ صح ولا لا؟
+
+432
+00:32:51,240 --> 00:32:55,980
+خلونا ندى نفاقة بسيط، نعرخه، نطلع في الفران، نفترض
+
+433
+00:32:55,980 --> 00:33:01,400
+فيه خمس فران جوا، و بتتحركوا، بتدرسلت؟ ولا بتتحرك
+
+434
+00:33:01,400 --> 00:33:07,520
+معاهم؟ خلوا الفران هم الشحناتلو بدك يجيب قوة على
+
+435
+00:33:07,520 --> 00:33:13,320
+المصورة لو كل فار فيه قوة عليه خمسة نيوتن جدش
+
+436
+00:33:13,320 --> 00:33:17,420
+القوة الكلية و هم خمس فران خمس عشر نيوتن اذا انا
+
+437
+00:33:17,420 --> 00:33:20,340
+عشان اجيب القوة العسرى كي اعجبها انا اجيبها مثال
+
+438
+00:33:20,340 --> 00:33:23,100
+لو انت اقبصتها مصورة فيها فار و مصورة فيها خمس
+
+439
+00:33:23,100 --> 00:33:26,860
+فران مين أسرع؟ خمس فران خمس فران طبعا لحرقوها جوا
+
+440
+00:33:26,860 --> 00:33:30,940
+تمام حاجات الفران هم الشحنات فار
+
+441
+00:33:33,320 --> 00:33:35,840
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+442
+00:33:35,840 --> 00:33:39,100
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+443
+00:33:39,100 --> 00:33:41,080
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+444
+00:33:41,080 --> 00:33:45,560
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+445
+00:33:45,560 --> 00:33:45,680
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+446
+00:33:45,680 --> 00:33:46,100
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+447
+00:33:46,100 --> 00:33:46,100
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+448
+00:33:46,100 --> 00:33:46,300
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لا لا
+
+449
+00:33:46,300 --> 00:33:47,480
+صح و لا لا صح و لا لا صح و لا لا صح و لا لا صح و
+
+450
+00:33:47,480 --> 00:33:54,920
+لا لا صح و لا لا صح و لا لا صح و لا لا صح و لاهذا
+
+451
+00:33:54,920 --> 00:34:00,460
+يعني أن الطيارة مجموعة من نشاطات محركة هنا الطيارة
+
+452
+00:34:00,460 --> 00:34:05,860
+مجموعة من كفرقة تمام؟ بتتحرك بنفس الاتجاه هذا يعني
+
+453
+00:34:05,860 --> 00:34:09,220
+أن أي طيارة تجارب تجارب تجارب تجارب تجارب تجارب
+
+454
+00:34:09,220 --> 00:34:09,440
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+455
+00:34:09,440 --> 00:34:09,760
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+456
+00:34:09,760 --> 00:34:10,300
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+457
+00:34:10,300 --> 00:34:12,400
+تجارب تجارب تجارب تجارب تجارب تجارب تجارب تجارب
+
+458
+00:34:12,400 --> 00:34:16,720
+تجارب تجارب تجارب
+
+459
+00:34:17,970 --> 00:34:21,310
+Vector sum of the individual forces on that
+
+460
+00:34:21,310 --> 00:34:26,970
+charged particle هاي السلك وهي واحد من الفيران لما
+
+461
+00:34:26,970 --> 00:34:31,190
+انا بتحركك انا هجيب قوة بس ده فرواح فهذا بيكون جزء
+
+462
+00:34:31,190 --> 00:34:35,270
+من القوة يكون قوة فهذا الـD أتباعها DF طبعا عشان
+
+463
+00:34:35,270 --> 00:34:40,610
+اجيب F بشوف كامه؟ كام كذا فرواح كذا شو هنعملهم من
+
+464
+00:34:40,610 --> 00:34:43,590
+جميع ما يكونوا let us consider a straight portion
+
+465
+00:34:43,590 --> 00:34:49,920
+of wire هذا السلك مستقيموالشحنات المتحركة هي ايه؟
+
+466
+00:34:49,920 --> 00:34:54,800
+الشحنات المتحركة
+
+467
+00:34:54,800 --> 00:34:59,580
+هي ايه؟
+
+468
+00:34:59,580 --> 00:35:05,560
+الشحنات الموجية هي ايه؟ الشحنات المتحركة هي ايه؟
+
+469
+00:35:05,560 --> 00:35:14,200
+الشحنات المتحركة هي ايه؟ الشحنات الموجية هي ايه؟
+
+470
+00:35:14,200 --> 00:35:14,760
+الشحنات المتحركة هي ايه؟ الشحنات المتحركة هي ايه؟
+
+471
+00:35:14,760 --> 00:35:14,760
+الشحنات المتحركة هي ايه؟ الشحنات المتحركة هي ايه؟
+
+472
+00:35:14,760 --> 00:35:14,760
+الشحنات المتحركة هي ايه؟ الشحنات المتحركة هي ايه؟
+
+473
+00:35:14,760 --> 00:35:14,760
+الشحنات المتحركة هي ايه؟ الشحنات المتحركة هي ايه؟
+
+474
+00:35:14,760 --> 00:35:14,760
+الشحنات المتحركة هي ايه؟ الشحنات المتحركة هي ايه؟
+
+475
+00:35:14,760 --> 00:35:20,180
+الشحبيقول بـ magnetic force on a single charge DQ
+
+476
+00:35:20,180 --> 00:35:24,400
+moving with a drift vs VD is هذه VF بسلة شحنة
+
+477
+00:35:24,400 --> 00:35:29,540
+واحدة بسلة شحنة واحدة DQ V كسر V طيب كامل يلّا
+
+478
+00:35:29,540 --> 00:35:34,120
+نكامل بيقول بس كامل ما كامل خلينا نشتر شوية نجيبها
+
+479
+00:35:34,120 --> 00:35:37,140
+في درجة الطيارة في عندك معلومة بتقول DQ بسوء I DT
+
+480
+00:35:37,140 --> 00:35:42,240
+او I بسوء DQ على DT ولا لأ إذا نبدأ الـ DQ هذهبديك
+
+481
+00:35:42,240 --> 00:35:49,980
+تحط محلها I D T طيب حطيت محلها I D T طيب هدى سرعة
+
+482
+00:35:49,980 --> 00:35:54,820
+و هدى زمان سرعة و زمان ايش بيعطيك طب و المسافة
+
+483
+00:35:54,820 --> 00:36:04,280
+وينها طول السلك مظبوط ولا لأ اذا D T في V بيعطيك D
+
+484
+00:36:04,280 --> 00:36:11,220
+L جزء من السلك اللى هو تماملو ان ذات V في DT بيسوي
+
+485
+00:36:11,220 --> 00:36:17,100
+DL اللي هي الإزاعة اذا بيقولك صوت هيك I DL cross
+
+486
+00:36:17,100 --> 00:36:22,020
+ال B حلو جالي الآن for straight wires we can
+
+487
+00:36:22,020 --> 00:36:26,360
+integrate the last equation to obtain ايش تكامل ال
+
+488
+00:36:26,360 --> 00:36:32,560
+DL؟ ال تكامل ال DLL كملتها على اعتبار ان B is
+
+489
+00:36:32,560 --> 00:36:36,760
+uniform كملتها طيب هل دائما تكامل ال DLL؟
+
+490
+00:36:40,210 --> 00:36:43,470
+إلا إذا .. هذ طبعا الانجلة كانت كواسية إيه سيكمل
+
+491
+00:36:43,470 --> 00:36:48,770
+ال DX؟ X ماعادي طيب في ال physics مش دائما DX
+
+492
+00:36:48,770 --> 00:36:53,630
+بيسوي X لو كانت X is a vector quantity بتطلعها
+
+493
+00:36:53,630 --> 00:36:58,590
+بتسويش X لأنه قبل ما أكامل بنفع أكامل غير لما أحلل
+
+494
+00:36:58,590 --> 00:37:04,480
+بدي أحلل و لما أحلل مش في مراكبات بتضيق مراتأحنا
+
+495
+00:37:04,480 --> 00:37:07,380
+جيبناها في الامتحان عشان ما أضيعش و أنا مركبة اذا
+
+496
+00:37:07,380 --> 00:37:10,200
+انا جيبناها في الامتحان عشان انا اعرف من فهم من
+
+497
+00:37:10,200 --> 00:37:15,040
+نوع كامل انا لما نحلل و نحلل كامل مركبات صينية
+
+498
+00:37:15,040 --> 00:37:17,820
+لحالي و مركبات صغيرة لحالي بيقولوا لما يكون ال
+
+499
+00:37:17,820 --> 00:37:23,320
+straight wire نرجع للفران لما يكون السلك مستقيم مش
+
+500
+00:37:23,320 --> 00:37:26,160
+كل الفران بيكونوا في نفس اتجاه و لما يكونوا في نفس
+
+501
+00:37:26,160 --> 00:37:31,770
+اتجاه بيدحلل لأ لكن لو كان السلك هيكهيجيب الفارق
+
+502
+00:37:31,770 --> 00:37:34,430
+اللي هان و الفارق اللي هان لنفس السرعة ك direction
+
+503
+00:37:34,430 --> 00:37:37,230
+لأ هذا ال direction تبقى هكذا و هذا ال direction
+
+504
+00:37:37,230 --> 00:37:40,050
+تبقى هكذا مقبض تبقى مقبض لواحدة خمسة او تلاتة بقول
+
+505
+00:37:40,050 --> 00:37:44,570
+تمانية لأ إذا موقتيش انا بقول تكامل ال D اللي
+
+506
+00:37:44,570 --> 00:37:47,970
+بيساوي فقط لل straight wires طب لو مش straight
+
+507
+00:37:47,970 --> 00:37:53,010
+بقول ياخدشوف هذا قانون جديد الطب عايش بيفرج عن هذا
+
+508
+00:37:53,010 --> 00:37:59,420
+شباببس هو Q V X B القانون اللي جيت بدل ال Q إيش
+
+509
+00:37:59,420 --> 00:38:06,640
+حطيت I مش بجربه بعد بدل V حطيت L V سرعة و L إزاحة
+
+510
+00:38:06,640 --> 00:38:09,800
+برضه بينهم علاقة و لا لأ عشان القانونين أقدر
+
+511
+00:38:09,800 --> 00:38:15,680
+أحفظهم ال Q V X B و I L X B ال B ده لازمة هي بدل V
+
+512
+00:38:15,680 --> 00:38:21,940
+صدرتها بL و بدل Q صدرت بI إذا نفس القانونبقاله for
+
+513
+00:38:21,940 --> 00:38:27,760
+straight wires بس للأسدك المستقيمة طيب بيقول if
+
+514
+00:38:27,760 --> 00:38:30,040
+the wire is not straight إيش هسوي؟ قال خليه
+
+515
+00:38:30,040 --> 00:38:33,560
+يتكامل، يتكاملش، خليها يتكامل زي ما هي if the wire
+
+516
+00:38:33,560 --> 00:38:35,600
+is not straight we have to find the force on a
+
+517
+00:38:35,600 --> 00:38:39,840
+small segment and then integrate it هيكون القانون،
+
+518
+00:38:39,840 --> 00:38:43,400
+مش حتى جدالة كاملة طيب جينيك بتقول خلينا نكامله،
+
+519
+00:38:43,400 --> 00:38:47,590
+نجرب نكاملهتقول إيه P is uniform واحدة واحدة طلعلي
+
+520
+00:38:47,590 --> 00:38:51,510
+P برا التكامل على إعتبار أن P is uniform تمام؟ طلع
+
+521
+00:38:51,510 --> 00:38:55,170
+P برا إذا وقتين فقدرنا نطلع P برا لو كانت P
+
+522
+00:38:55,170 --> 00:38:59,410
+uniform ثابتة P تطلع حضارة التكامل عشان اللي طلع
+
+523
+00:38:59,410 --> 00:39:02,430
+حضارة التكامل لازم تكون ثابتة إذا P is uniform هيك
+
+524
+00:39:02,430 --> 00:39:08,070
+بصي الخانون تقول التكامل يدي L cross ال P هذا
+
+525
+00:39:08,070 --> 00:39:12,330
+التكامل vector هذا بيساوي L بقوله بيساويش L بيساوي
+
+526
+00:39:12,330 --> 00:39:18,070
+الشرطة مش هي الشرطة هذهخلّيني أجرب .. اه ببطارية
+
+527
+00:39:18,070 --> 00:39:21,550
+تساوي L .. وكيف تساوي L؟ لما يكون مستقيم .. هذا ما
+
+528
+00:39:21,550 --> 00:39:24,710
+نشوف .. و L .. هاي ايه؟ هاي ايه السلك؟ هم مستقيم
+
+529
+00:39:24,710 --> 00:39:30,310
+ولا مائل؟ كيف بدك تعمله؟ جيبولي دي L .. مش D L
+
+530
+00:39:30,310 --> 00:39:35,530
+يعني .. مش D L جزء .. أكم جزء هذا السلك فيه ..
+
+531
+00:39:35,530 --> 00:39:38,550
+خلّيني أجسم معاكم لعدة أجزاء .. هي أكم جزء عملت ..
+
+532
+00:39:38,550 --> 00:39:42,870
+هي D L أجزاءهذه الـ L's بنفع أجمعهم مع جميع عادي
+
+533
+00:39:42,870 --> 00:39:46,610
+هدول، هذي الـ D لعشان كله أجمعهم واحد، عشان أجمعهم
+
+534
+00:39:46,610 --> 00:39:53,850
+مش لازم أسوي، أكملهم، بدي أحللهم، يلا نحللهم مش
+
+535
+00:39:53,850 --> 00:39:58,830
+هي أحللتهم؟ شوفولي شباب المراكبات الاقتصادية يسار
+
+536
+00:39:58,830 --> 00:40:02,570
+فيها،
+
+537
+00:40:02,570 --> 00:40:09,860
+هذه لغت هذهو هذه لغت هذه و هذه لغت هذه و هذه لغت
+
+538
+00:40:09,860 --> 00:40:15,500
+هذه و هذه لغت هذه و هذه لغت هذه و هذه لغت هذه و
+
+539
+00:40:15,500 --> 00:40:19,240
+هذه لغت هذه و هذه لغت هذه و هذه لغت هذه و هذه لغت
+
+540
+00:40:19,240 --> 00:40:21,180
+هذه و هذه لغت هذه و هذه لغت هذه و هذه لغت هذه و
+
+541
+00:40:21,180 --> 00:40:21,940
+هذه لغت هذه و هذه لغت هذه و هذه لغت هذه لغت هذه
+
+542
+00:40:21,940 --> 00:40:22,580
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه
+
+543
+00:40:22,580 --> 00:40:22,620
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه
+
+544
+00:40:22,620 --> 00:40:22,660
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه
+
+545
+00:40:22,660 --> 00:40:22,660
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه
+
+546
+00:40:22,660 --> 00:40:30,420
+لغت هذه لغت هذه لغت هذه لغت هذه لغت هذه لغت
+
+547
+00:40:30,420 --> 00:40:32,120
+هذه لغت هذه
+
+548
+00:40:35,360 --> 00:40:38,180
+يجربوا يعملوهم البرق بيبقى ال point ال animation
+
+549
+00:40:38,180 --> 00:40:46,860
+هتطلع روحه و بيعمل فيهم بطول اه ايش طلع؟ الخط من
+
+550
+00:40:46,860 --> 00:40:51,800
+أول السلك لآخر السلك من أول السلك لآخر السلك اذا
+
+551
+00:40:51,800 --> 00:40:55,120
+طلع خط مستقيم من أول السلك لآخر السلك طيب لو
+
+552
+00:40:55,120 --> 00:40:58,700
+قلتلكم جديش ال و جديش ال شرطة كمقدار خليها دي نص
+
+553
+00:40:58,700 --> 00:41:04,480
+دائرة اعتبرها جديش الL مش L شرطة L المفروض لو
+
+554
+00:41:04,480 --> 00:41:10,040
+بيوجود طول الcourse مش باي فأه نص خطور نص محيط طب
+
+555
+00:41:10,040 --> 00:41:16,000
+و L شرطة هذه L طب L شرطة بيساوي بقى إذا تقطع تكامل
+
+556
+00:41:16,000 --> 00:41:19,400
+ال D L بيساوي L بيساوي L شرطة والشيء اللي شرطة
+
+557
+00:41:19,400 --> 00:41:24,100
+أكتر منها الآن is the straight line of from I to F
+
+558
+00:41:24,100 --> 00:41:27,160
+يعني من بداية السلك لنهاية السلك من بداية السلك
+
+559
+00:41:27,160 --> 00:41:29,500
+لنهاية السلك طيب هذا السلك
+
+560
+00:41:33,060 --> 00:41:38,180
+وإن إيه الشرطة؟ طب
+
+561
+00:41:38,180 --> 00:41:42,100
+كيف بتعرف أنا I ل F من I ل F؟ اللي بيخليني أقول
+
+562
+00:41:42,100 --> 00:41:46,900
+بداية و نهاية تجاه التيار فهذا معناته أنا من هنا
+
+563
+00:41:46,900 --> 00:41:50,740
+التيار ماشي فبقول هاي الشرطة لو التيار ماشي هيك
+
+564
+00:41:50,740 --> 00:41:53,360
+بقول هاي initial و هاي ال final إذا I و F اللي
+
+565
+00:41:53,360 --> 00:41:58,300
+بيحددوا تجاه التيار طب سؤالي الآن لو هذا السيليك
+
+566
+00:41:58,300 --> 00:42:03,110
+وين بداته وين نهاته؟قدش المسافة بين البداية و
+
+567
+00:42:03,110 --> 00:42:12,830
+النهاية؟ فقط .. فقط .. فقط
+
+568
+00:42:12,830 --> 00:42:13,250
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+569
+00:42:13,250 --> 00:42:13,250
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+570
+00:42:13,250 --> 00:42:13,250
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+571
+00:42:13,250 --> 00:42:13,250
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+572
+00:42:13,250 --> 00:42:14,630
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+573
+00:42:14,630 --> 00:42:16,810
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+574
+00:42:16,810 --> 00:42:17,370
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+575
+00:42:17,370 --> 00:42:17,370
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+576
+00:42:17,370 --> 00:42:17,370
+.. فقط .. فقط .. فقط .. فقط .. فقط .. فقط .. فقط
+
+577
+00:42:17,370 --> 00:42:24,190
+.. فقط .. فقط .. فقط .. فقط
+
+578
+00:42:25,440 --> 00:42:29,520
+هي ال شرطة، هي ال شرطة، إذاً is a straight line
+
+579
+00:42:29,520 --> 00:42:34,060
+from I to F من بداية للنهاية، شايفين مش تكامل؟ لما
+
+580
+00:42:34,060 --> 00:42:38,400
+يكون أنا بكمل vectors تكامل DX بقطة X، مش بالضرورة
+
+581
+00:42:38,400 --> 00:42:41,760
+X، صح ولا لأ؟ هيطلع مش L، هيطلع L شرطة، و L شرطة
+
+582
+00:42:41,760 --> 00:42:45,220
+لما هيجعب Lهدق طول و هدق طول مختلف عشان كده بيقول
+
+583
+00:42:45,220 --> 00:42:49,160
+في التكامل شباب انتبهوا لازم تتعاملوا مع كل قنبل
+
+584
+00:42:49,160 --> 00:42:54,820
+نص لحالي لإن انت قاعد تجمع vectors تجمعش scalars و
+
+585
+00:42:54,820 --> 00:42:58,060
+جمع ال vectors بدوا انتباه تمام ماذا في ال closed
+
+586
+00:42:58,060 --> 00:43:01,860
+loop جدش الشرق؟ Zero Zero إذا إيش معناته في عندى
+
+587
+00:43:01,860 --> 00:43:07,420
+وضع قوة كتير مهمة؟بنقول إلى magnetic force on a
+
+588
+00:43:07,420 --> 00:43:13,340
+closed loop .. loop .. closed loop .. إيه بيكون
+
+589
+00:43:13,340 --> 00:43:17,120
+شكها؟ بشكلها تكون موجودة في مجال مغناطيسي منطبع ..
+
+590
+00:43:17,120 --> 00:43:21,300
+بيديش القوة اللي عليها؟لأن ليش بيقولي بيصير F
+
+591
+00:43:21,300 --> 00:43:24,620
+بيتساوي I ال شرطة قصة B و ليش ال شرطة في كل الجو؟
+
+592
+00:43:24,620 --> 00:43:27,860
+طبعا بشرط أنه بيكون Uniform عشان دردالي أحضر
+
+593
+00:43:27,860 --> 00:43:31,580
+التكامل شباب يقول جودة تكامل بس دي ال .. راجون
+
+594
+00:43:31,580 --> 00:43:36,860
+تكامل دي ال هو ال شرطة طبعا ذاكري أنتوا .. فدتكم
+
+595
+00:43:36,860 --> 00:43:40,120
+بعد انتحارات قريبة في ال 2002 و 2003 كنا نجيب كلها
+
+596
+00:43:40,120 --> 00:43:45,140
+سئلة حل و كنا نجيب عشر سئلة، المرة جيبنا شركس واحد
+
+597
+00:43:45,140 --> 00:43:47,020
+عاملناها بصمة حلوة هيك
+
+598
+00:43:50,250 --> 00:44:00,210
+مغلق خالة مفتوحة مغلق خالة مفتوحة
+
+599
+00:44:00,210 --> 00:44:03,770
+مغلق خالة مفتوحة مغلق خالة مفتوحة مغلق خالة مفتوحة
+
+600
+00:44:03,770 --> 00:44:09,160
+مغلق خالة مفتوحةالفراغ بيكفّهوش و بيصير النادي
+
+601
+00:44:09,160 --> 00:44:12,320
+بيدي وراك وبعدين مانعه محطوط لها الجلكاين بده
+
+602
+00:44:12,320 --> 00:44:15,580
+عشرين جيجا هو حل فيه والله لإن طلع ال zero مانعه
+
+603
+00:44:15,580 --> 00:44:18,460
+طلّحوش وكان مطلوب بس عشان ياخد العشر عالمها
+
+604
+00:44:18,460 --> 00:44:22,800
+because since the loop is closed and B is uniform
+
+605
+00:44:22,800 --> 00:44:25,660
+then the magnetic force is zero أكتر من كده ماكنتش
+
+606
+00:44:25,660 --> 00:44:25,900
+مني
+
+607
+00:44:29,290 --> 00:44:32,990
+هو ممكن يبطل عزيزه ليه؟ دلوقت يشمل وحل ويجب عشان
+
+608
+00:44:32,990 --> 00:44:36,770
+يبطل عزيزه ويبطلع عزيزه صح إذا بطلع عصا يطلع عزيزه
+
+609
+00:44:36,770 --> 00:44:40,650
+يعني أنا راضي إنه يتعب هو انا هتطلع عزيزه في الآخر
+
+610
+00:44:40,650 --> 00:44:45,650
+بس بعد نص ساعة ويكون اتوتر لإنه راح الوجد وكان
+
+611
+00:44:45,650 --> 00:44:49,830
+مقروب إنه فقد يجول since the loop is closed and B
+
+612
+00:44:49,830 --> 00:44:53,510
+is uniform as in the magnetic force جداش يعتمد هذه
+
+613
+00:44:53,510 --> 00:44:57,170
+الملاحظة بسكيف بيكون شكلها؟ طبعا هذه حلوة عشان كده
+
+614
+00:44:57,170 --> 00:44:59,230
+انا حاططه حلوة اشفعني و اقول يارو دي محلوة يلا
+
+615
+00:44:59,230 --> 00:45:02,290
+اتشمل نشتري لكن لو اعملناها اللي اعملت هيك كده
+
+616
+00:45:02,290 --> 00:45:05,850
+ماحد شمر كده ماحد بس شمير صعب نشبر ساعات أصي يفكر
+
+617
+00:45:05,850 --> 00:45:08,890
+يكسب و أننا zero لكن لما أنا جايك حلوة نرحل
+
+618
+00:45:08,890 --> 00:45:12,630
+نتشمرلها فلينا حلو لكن برضه حلوة هو نتشمرلها صحيح
+
+619
+00:45:12,630 --> 00:45:16,490
+لكن لو هو في الطعام و رايح و جاي و قهوة و شاية و
+
+620
+00:45:16,490 --> 00:45:20,530
+وقته معه بطلعها zero في الأكل تمام؟ فهذه المقال
+
+621
+00:45:20,530 --> 00:45:21,250
+المطلوبة منها
+
+622
+00:45:29,580 --> 00:45:36,220
+القوة المجنونة على مجرد
+
+623
+00:45:36,220 --> 00:45:38,920
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+624
+00:45:38,920 --> 00:45:38,920
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+625
+00:45:38,920 --> 00:45:42,460
+مجرد مجرد مجرد
+
+626
+00:45:54,330 --> 00:45:57,850
+الرسم اللي كنت جايبها من النت حاطب I بتجاه الأصالة
+
+627
+00:45:57,850 --> 00:46:01,250
+الأربعة تمام؟ of the current instead of the
+
+628
+00:46:01,250 --> 00:46:06,760
+velocityهذه هي السؤالة بيقولي a wire bent into a
+
+629
+00:46:06,760 --> 00:46:10,340
+semicircle of radius capital R and carries a
+
+630
+00:46:10,340 --> 00:46:14,040
+current I هذه هي السؤالة تشوفوا هذه الأزرق مع
+
+631
+00:46:14,040 --> 00:46:17,440
+الأخضر إغلاقه او لا اغلاقه اغلاقه كمان يجب ان يكون
+
+632
+00:46:19,750 --> 00:46:23,530
+طبعا الان بيقولي انت لو عطيتلي zero بيبقى لها منك
+
+633
+00:46:23,530 --> 00:46:26,630
+لكن انا بدي أحلها بالتفصيل بدي أشمر زي ما شمرت هنا
+
+634
+00:46:26,630 --> 00:46:31,210
+تمام؟ شمر و طلع إجابة صح و ماتفرجش معاك تمام؟ حاجة
+
+635
+00:46:31,210 --> 00:46:35,170
+هنا، قول zero على ال total loop بتطلع صحية بس هو
+
+636
+00:46:35,170 --> 00:46:38,030
+مش طايب لك ال total loop، إيش بيقول لك؟ the wire
+
+637
+00:46:38,030 --> 00:46:40,790
+lying in the x-y plane و المجمة تكفي تتجاه الأعلى
+
+638
+00:46:40,790 --> 00:46:45,170
+و كل شماطة؟ find Fm on the straight portion of the
+
+639
+00:46:45,170 --> 00:46:47,650
+loop، بس ال straight portion، ال straight portion
+
+640
+00:46:47,650 --> 00:46:52,110
+لحاله closed؟لأ .. and the kid goes to the toilet
+
+641
+00:46:52,110 --> 00:46:54,670
+.. و الـ ghost اللي .. لأ بس .. لما نجمعهم ليش
+
+642
+00:46:54,670 --> 00:46:59,760
+اللي مطلع؟ لازم يطلع Zero .. تمام؟ بنجرببقول ال
+
+643
+00:46:59,760 --> 00:47:04,240
+solution انا عندي سلكين سلك straight و سلك not
+
+644
+00:47:04,240 --> 00:47:08,280
+straight لل straight يبقى القانون F بساوي I L كنص
+
+645
+00:47:08,280 --> 00:47:13,880
+ال B للكيرب في قانون تاني L شرطة و L شرطة هو طول
+
+646
+00:47:13,880 --> 00:47:18,240
+الكيرب الخط المستقيم من أول كيرب لآخر الكيرب بقول
+
+647
+00:47:18,240 --> 00:47:20,080
+for the straight portion انت من ال straight
+
+648
+00:47:20,080 --> 00:47:22,680
+portion لسه هم هاي قانون لل straight portion فتقول
+
+649
+00:47:22,680 --> 00:47:27,620
+جنب هذا for the straight portion هذا هوالـ
+
+650
+00:47:27,620 --> 00:47:33,700
+straight الأزرق شباب حاجة L ايش هحطه اتجاهها؟ R
+
+651
+00:47:33,700 --> 00:47:40,720
+طولها M اتنين R اتنين R اتنين R اتنين R اتنين R
+
+652
+00:47:40,720 --> 00:47:41,000
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+653
+00:47:41,000 --> 00:47:42,100
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+654
+00:47:42,100 --> 00:47:44,100
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+655
+00:47:44,100 --> 00:47:45,380
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+656
+00:47:45,380 --> 00:47:45,500
+اتنين R اتنين R اتنين R اتنين R اتنين R اتنين R
+
+657
+00:47:45,500 --> 00:47:50,340
+اتنين R اتنين R اتنين R ات
+
+658
+00:47:51,740 --> 00:47:55,780
+في مشكلة؟ يالا شوف ال cured بيقولي for the cured
+
+659
+00:47:55,780 --> 00:48:00,880
+portion إيه الشرطة؟ وإيه الشرطة جالي طول المستقيم
+
+660
+00:48:00,880 --> 00:48:04,540
+من بداية ال wire لمهاته؟ طبعا الطيار كيف بده يبدأ؟
+
+661
+00:48:04,540 --> 00:48:08,380
+البداية من هنا ولا من هنا في الأقدر؟ تشوف الطيار
+
+662
+00:48:08,380 --> 00:48:11,840
+من وجهي؟ من هنا طيب أنا بدي إيه الشرطة؟ بيقولي هاي
+
+663
+00:48:11,840 --> 00:48:16,360
+البداية و هاي المهاتة؟ هاي الشرطة؟ بس ناقص على
+
+664
+00:48:16,360 --> 00:48:22,830
+الطول إذا كنت جاهو سالب Iنقص اتنين طلعت تانية
+
+665
+00:48:22,830 --> 00:48:29,030
+فبجمعهم طلعت Zero صحيح اقولها طبعا هو ليه جمعت
+
+666
+00:48:29,030 --> 00:48:33,170
+البارحة؟ لإن هو مجالك اوديديت Total جالك اوديديت
+
+667
+00:48:33,170 --> 00:48:37,710
+قوة على السيط العيالي و ال كب دهالك اذا كان فرق
+
+668
+00:48:37,710 --> 00:48:42,410
+التاني بحكي سنة و ستة دقيقة صحيح انا accept it
+
+669
+00:49:11,250 --> 00:49:16,980
+هذا القانون جلب الدنيا كلهاسؤال يعني قبل ما نبدأ
+
+670
+00:49:16,980 --> 00:49:25,600
+هذا خشب يا شباب، هذا قوة خمسة نيوتر وهذا قوة خمسة
+
+671
+00:49:25,600 --> 00:49:32,300
+نيوتر قبل الدوران، ده ليه ال total force؟ Zero ال
+
+672
+00:49:32,300 --> 00:49:35,780
+total force Zero، لكن بتتحرك ولا ماتتحركش؟ بدور،
+
+673
+00:49:35,780 --> 00:49:40,960
+بدور، صح ولا؟ بدور حوالين إيه؟ ال total force
+
+674
+00:49:40,960 --> 00:49:45,370
+واضح، لكن هو بدورلكن إسم الرقماز تبعته تتحرك أكتر،
+
+675
+00:49:45,370 --> 00:49:49,610
+مافيش طرق عقود إذا ممكن جسم يدور حتى لو ال net
+
+676
+00:49:49,610 --> 00:49:53,410
+force تبعته بتساوي zero ولا لأ، طب هو اللي بيجي
+
+677
+00:49:53,410 --> 00:49:59,050
+يشوف torque on a current loop consider a
+
+678
+00:49:59,050 --> 00:50:02,790
+rectangular loop rectangular loop يعني loop عبارة
+
+679
+00:50:02,790 --> 00:50:06,990
+عن مستطيل، طب المستطيل closed ولا مش closed؟ موجود
+
+680
+00:50:06,990 --> 00:50:11,060
+في مجال المنطقة المتضمنة، ليش بقوة كلية؟ Zeroهذه
+
+681
+00:50:11,060 --> 00:50:13,380
+مضطرة، إذا كنت تقول له أوجد القوة كلية، فأقول له
+
+682
+00:50:13,380 --> 00:50:18,320
+Zero Consider a loop of sides A and B طولها A وB،
+
+683
+00:50:18,320 --> 00:50:21,760
+هذا مستطيل، طولها أربع طانيات Carrying a current
+
+684
+00:50:21,760 --> 00:50:26,380
+I، في طيارة And it nears in a uniform magnetic
+
+685
+00:50:26,380 --> 00:50:28,280
+field، هو موجود في مجال مواطنيسي، هي مجال
+
+686
+00:50:28,280 --> 00:50:32,380
+مواطنيسي، اتجاه الطانية، باتجاه الـI وهي ال loop
+
+687
+00:50:32,380 --> 00:50:36,800
+تبعد، وهي الطيارة دي A وهي دي B، وهي الطيارة بهذا
+
+688
+00:50:36,800 --> 00:50:42,440
+الشكل، تمام؟بتجيب القوة اللي عليها ال total قوة
+
+689
+00:50:42,440 --> 00:50:48,500
+كده؟ ال total force zero لإنها closed طيب أكم
+
+690
+00:50:48,500 --> 00:50:51,860
+ضرعه؟ المرة هذه كتابة في المثال السابق قال في
+
+691
+00:50:51,860 --> 00:50:55,080
+ضرعين المنحني والمستقيم جماعتهم ضرعه zero هدول
+
+692
+00:50:55,080 --> 00:50:59,760
+بتجيب القوة أكم ضرع؟ بتجيبوا ضرع ضرع أنا وياكم لما
+
+693
+00:50:59,760 --> 00:51:04,100
+أجمع الأربع ضرع لازم كده؟ Zero نبدأ نشوف الضرع
+
+694
+00:51:04,100 --> 00:51:04,500
+الفجأة
+
+695
+00:51:09,190 --> 00:51:11,950
+لماذا؟ لأنهم موازي لـB، براوع عليكم، طب و
+
+696
+00:51:11,950 --> 00:51:16,630
+التحتاني؟ لازم هاي الاتنين رايحون، ضال الاتنين،
+
+697
+00:51:16,630 --> 00:51:20,190
+لازم يكون واحد عكس التاني، صح ولا لأ؟ بيجي نبدأ،
+
+698
+00:51:20,190 --> 00:51:23,510
+بيقول for the horizontal sides، الفجاري و
+
+699
+00:51:23,510 --> 00:51:27,390
+التحتاني، ال horizontal sides of the loop, the
+
+700
+00:51:27,390 --> 00:51:31,210
+direction of current is going to be، صحيح ولا لأ؟
+
+701
+00:51:31,210 --> 00:51:36,690
+هذا هموقعد معه ووقعد ضده في نهاية الزاوية لا سفر
+
+702
+00:51:36,690 --> 00:51:40,810
+لا مية و تمانين صانع السفر كده؟ وصانع ال مية و
+
+703
+00:51:40,810 --> 00:51:44,950
+تمانين؟ وقعدت سفر بيقول إذا روضنت ال sides of the
+
+704
+00:51:44,950 --> 00:51:47,390
+loop the direction of the current is parallel to B
+
+705
+00:51:47,390 --> 00:51:50,630
+so the force on the two sides is zero إذا لا فجاني
+
+706
+00:51:50,630 --> 00:51:54,990
+عليه قوة ولا تحتاني عليه قوة يعطيهم العافية for
+
+707
+00:51:54,990 --> 00:52:01,850
+the vertical side we have او بتاخد ال lift اللي هو
+
+708
+00:52:01,850 --> 00:52:07,590
+ال liftاللي ع شمالكو .. حلو .. straight هذا .. او
+
+709
+00:52:07,590 --> 00:52:09,750
+لا مش straight .. بيتطبق عليه القوانين الأكبر
+
+710
+00:52:09,750 --> 00:52:13,310
+الساوية I L كوستر بيه .. طب إيه الكيفية ده؟ لأسفل
+
+711
+00:52:13,310 --> 00:52:18,950
+.. لأسفل .. لأقل جيرو .. إذا قال في أي علم هذه
+
+712
+00:52:18,950 --> 00:52:23,990
+الليلة هتفعل النفط؟واضح؟ كُسر بي بورت بالثانوية
+
+713
+00:52:23,990 --> 00:52:28,650
+طوله موجددش مش اللي بي وهادي بي هادي مخ جيه
+
+714
+00:52:28,650 --> 00:52:33,850
+والمجال مجدس كيف؟ I جيه cross of I سالب كيه وفيه
+
+715
+00:52:33,850 --> 00:52:38,210
+سالب ثلاث كيه إذا معناته فيه قوة هيك يشجلها ال K
+
+716
+00:52:38,210 --> 00:52:44,130
+مش هذا رمزه صح؟ إذا هذا الضلع فيه حد يشده هيك تمام
+
+717
+00:52:44,130 --> 00:52:49,410
+تفوقوا على الضلع التاني واني موافق نجي نجربللـ
+
+718
+00:52:49,410 --> 00:52:53,190
+right بيسوي I L right cross بيه ال L right ماكانش
+
+719
+00:52:53,190 --> 00:53:02,710
+مقدره برضه بيه ماكانش تجاهه جيه ايه جيه ايه جيه لا
+
+720
+00:53:02,710 --> 00:53:08,270
+اهلا بحط جيه و اهلا و بيه اهلا جيه cross I سنبكيه
+
+721
+00:53:08,270 --> 00:53:11,450
+اذا في عندك قوات ايه مع القواتين طبعا انت مقدرهم
+
+722
+00:53:12,630 --> 00:53:18,110
+IPB وهنا ناسي العينة IPB اجمعوه Zero إذا مافيش اي
+
+723
+00:53:18,110 --> 00:53:22,210
+تناقض closed loop in any four magnetic field ال
+
+724
+00:53:22,210 --> 00:53:25,810
+four is zero لكن ال four is zero زي هذا ال net
+
+725
+00:53:25,810 --> 00:53:30,570
+four is zero لكن بلفه لا ملفش بلفه هذا واحد بشده
+
+726
+00:53:30,570 --> 00:53:35,350
+هيك و واحد بوديه هيك إذا بده يلف وهذه النظرية جلبت
+
+727
+00:53:35,350 --> 00:53:38,750
+الدنيا كل الحركة اللي بتشوفوها معتمدة عليها
+
+728
+00:53:38,750 --> 00:53:42,410
+النظريةالمطور مش المطور اللي بولد كهربا المطور
+
+729
+00:53:42,410 --> 00:53:44,710
+الحقيقي احنا المطور احنا قاعدين نسميه generator
+
+730
+00:53:44,710 --> 00:53:49,330
+المطور تمام؟ المطور هو اللي بدي حركة من وجهته حركة
+
+731
+00:53:49,330 --> 00:53:55,070
+هذه المطرية اللي بيكون في لوب مغلق أشبال محطوطة في
+
+732
+00:53:55,070 --> 00:53:57,470
+مجان مغناطيسي بيحطوا هنا خُطوا المغناطيسي و خُطوا
+
+733
+00:53:57,470 --> 00:54:01,350
+المغناطيسي جوا و بيحطوا سليكل أول ما تشتغل الكهربا
+
+734
+00:54:01,350 --> 00:54:05,620
+لفتماذا بيرفض هاي الرعاية اللي بيديها؟ عشان كده
+
+735
+00:54:05,620 --> 00:54:09,420
+مافيش هنا هوايات أعواطيه بيلفوا الهواية، بيلفوا
+
+736
+00:54:09,420 --> 00:54:13,440
+الـMonanics، بيلفوا الغسالة، طبعا هذه شغلات بسيطة،
+
+737
+00:54:13,440 --> 00:54:17,760
+بيلفوا المصنع كلهو هات الحركة ممكن تمشيها كمان بدك
+
+738
+00:54:17,760 --> 00:54:20,760
+على قشط .. انتوا بتشوفوا كيف المخابز ات اتوماتيك
+
+739
+00:54:20,760 --> 00:54:24,220
+بالكور و كيف الكشاب و هذا حركة بس بيحطها بكشاب
+
+740
+00:54:24,220 --> 00:54:27,220
+تنتقل الحركة من مكان لمكان بيجيلك الخبز من أولها
+
+741
+00:54:27,220 --> 00:54:30,260
+كل حركة بحركة من أول ما يحطوا طحين فيه على الجانب
+
+742
+00:54:30,260 --> 00:54:36,360
+حركة بعدين بيتجل لجبطةها بيتجل برضه حركة جبطةها
+
+743
+00:54:36,360 --> 00:54:41,380
+حركة اللي جبطها حركةبيروح على الفرن جوه حركة بس
+
+744
+00:54:41,380 --> 00:54:44,140
+بيبقى داخلها بالدينار و لو جوه بيبقى ماشية على
+
+745
+00:54:44,140 --> 00:54:46,860
+نفسه دي هو الفرن بعدين بطلع بلف لف لف لف لف لف لف
+
+746
+00:54:46,860 --> 00:54:49,020
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+747
+00:54:49,020 --> 00:54:49,320
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+748
+00:54:49,320 --> 00:54:49,840
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+749
+00:54:49,840 --> 00:54:51,220
+لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف لف
+
+750
+00:54:51,220 --> 00:54:58,600
+لف لف لف لف لف لف لف
+
+751
+00:54:58,600 --> 00:55:05,600
+لف
+
+752
+00:55:05,600 --> 00:55:12,760
+لالجرافة هي حركة طبعا صار اللي بنعمله بسنة بنعمله
+
+753
+00:55:12,760 --> 00:55:18,180
+بأيام طبعا فشوف انت كده انجلبت الدنيا شغلات كتيرة
+
+754
+00:55:18,180 --> 00:55:22,600
+بلاش خلينا نقول الغسالة البسيطة اللي في دوركم لو
+
+755
+00:55:22,600 --> 00:55:26,320
+انتوا سألتوا امياتكم لسه مايحقوش و الله أعلم
+
+756
+00:55:26,320 --> 00:55:29,540
+جدادكم اذا كانوا عايشين كانوا بيقولوا عشان نخسر
+
+757
+00:55:29,540 --> 00:55:33,140
+كنا نصبح مع صلاة الصبح نضغط نخسرده الدور اللي هم
+
+758
+00:55:33,140 --> 00:55:38,940
+يغسلوا هرجيت اما تبقى تحط الناس سهل انا بتتعب
+
+759
+00:55:38,940 --> 00:55:43,600
+بس الناس اللي يمكن تتعب تاخده و تشوفه بس فشوف ايش
+
+760
+00:55:43,600 --> 00:55:48,360
+انقلبت الدنيا من هذا القانون هذا دانا حركة و
+
+761
+00:55:48,360 --> 00:55:53,440
+الحركة بعد كده بستخدمها كيف ما بدي بكل الأمور و ما
+
+762
+00:55:53,440 --> 00:55:57,920
+تحط بالك في دارك في شارعك في وصنعك و المكان هذا
+
+763
+00:55:57,920 --> 00:56:02,170
+القانون موجود في حركةطبعا إن جت على الكهربا بيبقى
+
+764
+00:56:02,170 --> 00:56:06,170
+بيبقى في حركة رايحة في الشجارة .. في الشجارة هو
+
+765
+00:56:06,170 --> 00:56:10,450
+مضطرب لا المونيكس تشتغل ولا غسلت تشتغل ولا أي حاجة
+
+766
+00:56:10,450 --> 00:56:15,550
+بدك إياها بيبقى تشتغل حتى أي حاجة فيها لا الهواية
+
+767
+00:56:15,550 --> 00:56:19,530
+تشتغل ولا أي حاجة حتى ال computer ال box فيه هواية
+
+768
+00:56:19,530 --> 00:56:24,920
+بحطه عشان يبردفكل هذا من هذا القانون طبعا انا
+
+769
+00:56:24,920 --> 00:56:27,980
+ببذلني I عشان كده لو جدت على الكهربا مافيش حركة
+
+770
+00:56:27,980 --> 00:56:32,080
+لأن I بديها لازم يكون في عندي تيار لو مافيش تيار
+
+771
+00:56:32,080 --> 00:56:37,680
+بتلف اذا انا بدي الكهربا بالأول والآخر that if the
+
+772
+00:56:37,680 --> 00:56:40,180
+two forces are opposite and equal in magnitude
+
+773
+00:56:40,180 --> 00:56:43,340
+opposite and equal in magnitude if the loop is
+
+774
+00:56:43,340 --> 00:56:47,020
+assumed to rotate about its center بتلف هكذا these
+
+775
+00:56:47,020 --> 00:56:50,790
+two forces طب يلا نجيب ال torque شبابهذا بتوح مع
+
+776
+00:56:50,790 --> 00:56:54,070
+قرصها وانا بضع قرصها وهذا
+
+777
+00:56:55,620 --> 00:56:58,520
+ماش انتوا قاعدين و انتوا مغفلين بتحكوا هذا مع هذا
+
+778
+00:56:58,520 --> 00:57:03,260
+ما .. اذا ان ال torque بقول هذا في ذراعه زائد هذا
+
+779
+00:57:03,260 --> 00:57:06,820
+في ذراعه لما التانين معاه وهي نفس الأعمالية شوفوا
+
+780
+00:57:06,820 --> 00:57:10,780
+مع أن القواتين عكس بقعد لكن ال torque مع بعض مع أن
+
+781
+00:57:10,780 --> 00:57:14,580
+القواتين عكس بقعد هذا ال torque بيعمل هيك صح و هذا
+
+782
+00:57:14,580 --> 00:57:18,020
+ال torque بيعمل هيك التانين clockwise ولا مشكلتين
+
+783
+00:57:18,020 --> 00:57:19,800
+clockwise فنجي هنا
+
+784
+00:57:26,570 --> 00:57:30,010
+القوة في الذراع و لا لأ بدي افترض انه بدي لف حوالي
+
+785
+00:57:30,010 --> 00:57:36,870
+ال center ايه ع اتنين؟ لأن هذه الذراع من القوة
+
+786
+00:57:36,870 --> 00:57:42,370
+لهنا وهذه نص ايه للا وهذه ايه برضه ايه ع اتنين؟
+
+787
+00:57:44,710 --> 00:57:47,990
+خلّينا if the loop is assumed to rotate about its
+
+788
+00:57:47,990 --> 00:57:50,750
+center يعني أحوال بيقع في ال center these two
+
+789
+00:57:50,750 --> 00:57:53,970
+forces will produce a torque that tends to rotate
+
+790
+00:57:53,970 --> 00:57:57,110
+the loop counter clockwise the magnitude of this
+
+791
+00:57:57,110 --> 00:58:01,930
+torque is القوة في الذراع a ع اتنين زي اد القوة
+
+792
+00:58:01,930 --> 00:58:04,910
+التانية في الذراع a ع اتنين طب دي اللي خلع المشترك
+
+793
+00:58:04,910 --> 00:58:09,150
+ايش خلع المشترك؟ I في B في capital B بظهر a ع
+
+794
+00:58:09,150 --> 00:58:14,130
+اتنين زي d ع اتنين ايه؟ طب a في b مش هي ال area؟
+
+795
+00:58:15,000 --> 00:58:20,460
+اذا طلع القانون هذا هو ايش كانت ال a هي ال area if
+
+796
+00:58:20,460 --> 00:58:22,560
+P is not parallel to the plane of the loop the
+
+797
+00:58:22,560 --> 00:58:25,360
+last equation can be generalized to P بيقول إذا ال
+
+798
+00:58:25,360 --> 00:58:28,460
+loop انت حطت ال loop على اللوح لو ميلت بيقول ليه
+
+799
+00:58:28,460 --> 00:58:33,680
+ليش بيصير القانون هيك بس cross product بتحط circle
+
+800
+00:58:33,680 --> 00:58:36,700
+cross product احنا ده واش عملنا عملنا هيك وعملنا
+
+801
+00:58:36,700 --> 00:58:41,960
+ال loop هيك من يقول اتجاه ال area جديش يا ده ال
+
+802
+00:58:41,960 --> 00:58:49,810
+areaعمودي على اللوحة فإيش علاقتها مع ال B عمودية
+
+803
+00:58:49,810 --> 00:58:53,610
+على ال B عمودية على ال B عقص ال product بتروح صح
+
+804
+00:58:53,610 --> 00:58:57,310
+ولا .. لو مش عمودية بحثت عقص ال product بيقول if P
+
+805
+00:58:57,310 --> 00:58:59,250
+is not parallel to the plane of the loop the last
+
+806
+00:58:59,250 --> 00:59:03,230
+equation can be generalized التعميم لهذا القانون I
+
+807
+00:59:03,230 --> 00:59:06,310
+A قص ال P لأن E is a vector of quantity خدناها من
+
+808
+00:59:06,310 --> 00:59:12,830
+أيام جاوس قص ال P هذي I في A بالثورة من U ال U إيه
+
+809
+00:59:12,830 --> 00:59:25,510
+بتشبه الشباب؟QD بيساوي بي بي
+
+810
+00:59:25,510 --> 00:59:34,830
+بي بي بي بي
+
+811
+00:59:34,830 --> 00:59:35,090
+بي بي بي بي بي بي بي بي بي بي بي
+
+812
+00:59:44,620 --> 00:59:47,400
+هذه كانت الـ Q في D، Q الشحنة وD المسافة اللي
+
+813
+00:59:47,400 --> 00:59:51,600
+بيقوم هذي بتساوي بدل الشحنة حطب I بل المسافة صار
+
+814
+00:59:51,600 --> 00:59:55,780
+في مساحة لأنه مافيش إمكانية يكون في عند جواننا
+
+815
+00:59:55,780 --> 00:59:59,440
+يكون في لوب مغلقة و اللوب المغلقة بتشكلك مساحة
+
+816
+00:59:59,440 --> 01:00:04,260
+فبتكون I في A هي المساحة هجتني ورجع احنا قولنا أصل
+
+817
+01:00:04,260 --> 01:00:08,340
+المغناطية أيش كهربية اللي هي الإلكترونات المتحركة
+
+818
+01:00:08,340 --> 01:00:10,780
+الإلكترونات بتتحرك على اللوب المغلقة مش اللوب
+
+819
+01:00:10,780 --> 01:00:11,160
+المغلقة
+
+820
+01:00:14,860 --> 01:00:18,500
+هل جد كل إلكترون بشكل عبارة عن الـelectric dipole
+
+821
+01:00:18,500 --> 01:00:21,980
+moment؟ هنا كل نجوم كل جزيه، كل إلكترون بيعمل
+
+822
+01:00:21,980 --> 01:00:24,560
+electric dipole moment، هل جد في إلكترون، في عندك
+
+823
+01:00:24,560 --> 01:00:27,660
+عشر ألف إلكترون من اتجاهات مختلفة، many mu's جوا
+
+824
+01:00:27,660 --> 01:00:30,360
+المادة، إذا الـmu's كلها اتجاهاتها واحدة، بيصير
+
+825
+01:00:30,360 --> 01:00:33,320
+عندي براطيس، إذا الـmu's كلها اتجاهات مختلفة،
+
+826
+01:00:33,320 --> 01:00:36,640
+بيكون الـnet mu أو الـnet مجنتك فيه ساوي زيرو، مش
+
+827
+01:00:36,640 --> 01:00:41,550
+مهم، it's called the magnetic dipole momentهاجر
+
+828
+01:00:41,550 --> 01:00:45,750
+الـ U كيف بتجيب اتجاهها طيب كل هي قانون هقاعد في
+
+829
+01:00:45,750 --> 01:00:49,590
+ايه اتجاه ال ايه طب اتجاه ال ايه كيف بتجيبه انا في
+
+830
+01:00:49,590 --> 01:00:54,510
+عندها اتجاهين هاجد ايه كيف اتجاه اللوح شباب مثلا
+
+831
+01:00:54,510 --> 01:00:58,970
+لبرنا جوا طب كيف بتعرض لإيدك اليوم ده حسب اتجاهك
+
+832
+01:00:58,970 --> 01:01:02,970
+الطيار ودفع صبيحك نفسك على الطيار ابهنك بالدي ميو
+
+833
+01:01:04,610 --> 01:01:08,150
+لُف أصابعك أربع مع التيار The direction of the mu
+
+834
+01:01:08,150 --> 01:01:10,870
+is perpendicular to the plane of the loop and it's
+
+835
+01:01:10,870 --> 01:01:15,510
+sense is determined by the right hand rule. إيش هي
+
+836
+01:01:15,510 --> 01:01:19,730
+بتقول؟ killing the four fingers يعني لُف the four
+
+837
+01:01:19,730 --> 01:01:21,770
+fingers of the right hand rule in the direction of
+
+838
+01:01:21,770 --> 01:01:25,170
+the current لُف أصابعك أربع مع التيار The thumb
+
+839
+01:01:25,170 --> 01:01:28,890
+points in the direction of the mu نرجع لهذه
+
+840
+01:01:34,830 --> 01:01:42,670
+كيف تجاه الـ Mu؟ على الخارج لأن أصابعي الأربعة
+
+841
+01:01:42,670 --> 01:01:46,170
+رفنتهم مع الطيارة إذا ما حدثوا إبهامهم يكونوا out
+
+842
+01:01:46,170 --> 01:01:50,710
+على طول تمام؟ لو الطيارة انعكس يكونوا إبهامي جوا
+
+843
+01:01:50,710 --> 01:01:54,470
+صح ولا لأ؟ عشان ألف مع الطيارة إذا أنا هالي بحدد
+
+844
+01:01:54,470 --> 01:01:58,290
+الـ Mu أصابعي الأربعة مع الطيارة إبهامي بالـ Mu
+
+845
+01:01:58,290 --> 01:02:02,630
+تمام
+
+846
+01:02:02,630 --> 01:02:04,150
+هذا مثال
+
+847
+01:02:13,070 --> 01:02:18,710
+يكون هناك عبارة عن عبارة عن عبارة عن عبارة عن
+
+848
+01:02:18,710 --> 01:02:22,050
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+849
+01:02:22,050 --> 01:02:23,670
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+850
+01:02:23,670 --> 01:02:27,950
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+851
+01:02:27,950 --> 01:02:31,350
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+852
+01:02:31,350 --> 01:02:31,350
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+853
+01:02:31,350 --> 01:02:31,350
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+854
+01:02:31,350 --> 01:02:31,390
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+855
+01:02:31,390 --> 01:02:33,570
+عن عبارة عن
+
+856
+01:02:42,520 --> 01:02:44,480
+الـInitial is parallel to the plane of the loop
+
+857
+01:02:44,480 --> 01:02:47,720
+برالي تمام what is the magnitude of the initial
+
+858
+01:02:47,720 --> 01:02:50,160
+torque acting on the loop بعد ما تبقى تطبيق مباشر
+
+859
+01:02:50,160 --> 01:02:53,960
+نقول solution since the coil has 25 tails coil
+
+860
+01:02:53,960 --> 01:02:57,040
+يعني ملف برضه الشباب هنا مافيش كتاب ليه loop loop
+
+861
+01:02:57,040 --> 01:03:00,380
+أو coil coil معناه تمام تمام وطبعا كل كنت عارف
+
+862
+01:03:00,380 --> 01:03:04,340
+المطارات اللي بيقولوا لما يخرب يروح يلفو مظلوله هو
+
+863
+01:03:04,340 --> 01:03:08,100
+عبارة عن loops يعني مكونش لفة واحدة مكون عدة loops
+
+864
+01:03:08,100 --> 01:03:12,550
+مش مشكلةلو انتوا فى تحته واحد تشوفوا انه فى loop
+
+865
+01:03:12,550 --> 01:03:17,150
+محاسي بيكون ملفوف وشغلات وعادى وحنشوف ايش انواع
+
+866
+01:03:17,150 --> 01:03:20,630
+الملفات ترويت او سلونه و بعد يوم نشوفها عشان لما
+
+867
+01:03:20,630 --> 01:03:23,770
+تخشوا على اي مطور تشوفوه تعرفوا ان هذا عبارة عن
+
+868
+01:03:23,770 --> 01:03:27,230
+ملف معين و هو اللى بجوه اللى تكون الحركة و طبعا
+
+869
+01:03:27,230 --> 01:03:30,150
+لازم تكون مافيش مطور جوه اللى تلاقي مغماطيس ولا لا
+
+870
+01:03:30,150 --> 01:03:33,050
+المغماطيس من الخط عشان يجيبلي المجال المغماطيسي
+
+871
+01:03:33,050 --> 01:03:37,700
+عشان بدي بيهعشان بال D.P. طبعا الشغل البرده اللي
+
+872
+01:03:37,700 --> 01:03:41,880
+اتخذته هو في المدارس ال جيل فان ويكاربرضه اتأسس
+
+873
+01:03:41,880 --> 01:03:44,480
+عليها دى القاعدة لأنه انا في جلبان و متر او ال
+
+874
+01:03:44,480 --> 01:03:47,760
+voltmeter او ال ammeter بدي الماشي يتحرك فبالتالي
+
+875
+01:03:47,760 --> 01:03:50,500
+بكون مربوط بملف اول ما أحطه فى الديارة علاش بدي
+
+876
+01:03:50,500 --> 01:03:53,760
+أجيب فده دي كيس كهربا فالاخر اذا حطه فى الديارة
+
+877
+01:03:53,760 --> 01:03:58,200
+صار فى تيار العكس المؤشر صار فى حركة لف كل ما كانت
+
+878
+01:03:58,200 --> 01:04:00,600
+تيارة أكبر كل ما كانت الحركة أكبر ولا لا بالتالي
+
+879
+01:04:00,600 --> 01:04:03,860
+بقدر أعمل calibration معايرة و بقدر أجيبه وعشان
+
+880
+01:04:03,860 --> 01:04:09,590
+كده كانوا يسمون اياها هيكييقولون هاي قطب و هاي قطب
+
+881
+01:04:09,590 --> 01:04:12,310
+شمالي و جنوبي هاي المجال اللي معروف باسم العرب
+
+882
+01:04:12,310 --> 01:04:15,710
+خلاص شمالي و جنوبي ده هزي عندك مجمع نفسي تمام؟ و
+
+883
+01:04:15,710 --> 01:04:23,190
+بعدين يحطونا loop و بعدين يوجهوها هيك و يقولك
+
+884
+01:04:23,190 --> 01:04:27,530
+واصلها في الدائرة نفسك هنا فيه بطارية فزي ما فيه
+
+885
+01:04:27,530 --> 01:04:32,110
+بطارية سارس لك لف بخارج البنومتر بربطه هذه بمؤشر
+
+886
+01:04:32,110 --> 01:04:37,080
+لفت بحركوظبط معاه طبعا في زمبالك عشان يظبط الأمور
+
+887
+01:04:37,080 --> 01:04:41,260
+في الأخر هدا السبب ال D grade تبعها اما في زمبالك
+
+888
+01:04:41,260 --> 01:04:44,220
+عشان يحكمها ومايروحش تيجي ويعمل معاييرات شغلات
+
+889
+01:04:44,220 --> 01:04:48,360
+كتيرة بتيجي بهذه .. طبعا في بعض يقعوا في جرس
+
+890
+01:04:48,360 --> 01:04:50,800
+الكهرباية نفس الفكرة شغلات كتيرة الجرس الكهرباية
+
+891
+01:04:50,800 --> 01:04:54,860
+مورايه جاي وخلوه يقطع اخدتوا هدا برضه في الفنانوية
+
+892
+01:04:54,860 --> 01:05:02,630
+دالة جرس تمام م سوى capital M I في ال Aأي ميو بس
+
+893
+01:05:02,630 --> 01:05:06,370
+عشان في عدة شحنات ايفن ايه اللي ايه قولتلي بقعد
+
+894
+01:05:06,370 --> 01:05:10,270
+هجيبها طبعا صارت المتر حوالته الشباب ده متر تنتين
+
+895
+01:05:10,270 --> 01:05:14,290
+واحدة خمسة وعشرين طلعت ال ميو knowing that ال ميو
+
+896
+01:05:14,290 --> 01:05:18,790
+and بي are parallel اذا هي تابسة من نقص ال بي لكن
+
+897
+01:05:18,790 --> 01:05:22,050
+ال ميو بي برارل راح نقص بذلك لأن هو حكيم برارل
+
+898
+01:05:22,050 --> 01:05:26,150
+طلعتها نيوت المتر طبعا الشباب انتوا عارفين ال
+
+899
+01:05:26,150 --> 01:05:28,710
+torque ايش وحدته؟
+
+900
+01:05:31,350 --> 01:05:39,810
+أف في متر فاقدر أقول عنها جول جول
+
+901
+01:05:39,810 --> 01:05:46,790
+ما هي جول مش نيوتر متر جول مش هو بيضحك شغل يعني
+
+902
+01:05:46,790 --> 01:05:50,730
+هذي نيوتر متر بس هو هيك مفردوش و حط جول عشان ال
+
+903
+01:05:50,730 --> 01:05:53,530
+fresh مش حلوة لكن لو حطها جول ماحد بيقدر يقول لو
+
+904
+01:05:53,530 --> 01:05:58,830
+حطها غلط لأن نيوتر في متر جول تمام؟ خدمة معلومة في
+
+905
+01:05:58,830 --> 01:06:00,470
+فيزيا ألف
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1626966b3c08a96523d2fae564b4cad3cde406e1
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ.srt
@@ -0,0 +1,3090 @@
+1
+00:00:10,140 --> 00:00:13,880
+بنبدأ بسم الله الرحمن الرحيم ونستأنف المحاضرة
+
+2
+00:00:13,880 --> 00:00:20,020
+الماضية بدينا بتعريف المجال الكهربائي the electric 
+
+3
+00:00:20,020 --> 00:00:25,820
+field واتفقنا على أن for every point in charge or
+
+4
+00:00:25,820 --> 00:00:31,120
+for every charge we have its own electric field الـ
+
+5
+00:00:31,120 --> 00:00:34,780
+electric field عرفناه على أنه if the electric
+
+6
+00:00:34,780 --> 00:00:40,200
+force exerted on a positive small tested charge
+
+7
+00:00:40,200 --> 00:00:44,460
+divided by the magnitude of this tested charge
+
+8
+00:00:44,460 --> 00:00:49,780
+بمعنى المجال الكهربائي عُرف بدلالة القوة
+
+9
+00:00:49,780 --> 00:00:55,580
+الكهربائية التي تؤثر على شحنة very small and
+
+10
+00:00:55,580 --> 00:01:00,700
+positive وسموها test charge وبالتالي صار فيه
+
+11
+00:01:00,700 --> 00:01:06,640
+إمكانية أن يشتق قانون لهذا المجال الكهربائي اطفئ
+
+12
+00:01:06,640 --> 00:01:11,180
+هدول بنفع نطفئ هي أو بنفع اطفئ اطفئ اتفق الله تمام
+
+13
+00:01:11,180 --> 00:01:19,640
+خلاص اللي عندك بيكفيك طب
+
+14
+00:01:19,640 --> 00:01:25,340
+خلاص تمام واتفقنا أن شدة المجال الكهربائي ككمية
+
+15
+00:01:25,340 --> 00:01:31,100
+فيزيائية جديدة هو vector quantity رمزها capital E
+
+16
+00:01:31,100 --> 00:01:37,400
+تمام هذا الكلام عرفنا وقلنا E equal F over Q
+
+17
+00:01:37,400 --> 00:01:41,020
+nought و Q naught هي test charge من هذا التعريف
+
+18
+00:01:41,020 --> 00:01:47,500
+الأولي عرفنا أن E has the SI unit of Newton على
+
+19
+00:01:48,100 --> 00:01:52,480
+قولوا نيوتن per قولوا هذا اللي عرفنا من الأول
+
+20
+00:01:52,480 --> 00:01:57,440
+واتفقنا على أن q not should be small enough to
+
+21
+00:01:57,440 --> 00:02:01,500
+ensure that the electric field is not affected by
+
+22
+00:02:01,500 --> 00:02:06,080
+the presence of the test charge تمام و ال
+
+23
+00:02:06,080 --> 00:02:09,120
+direction اتفقنا عليه وهنيجي عليه هذا ال unit كل
+
+24
+00:02:09,120 --> 00:02:13,580
+كلام إحنا أخدنا وبالتالي
+
+25
+00:02:13,580 --> 00:02:21,130
+أي charge محطوطة في نقطة واتأثرت بقوة نقول لها
+
+26
+00:02:21,130 --> 00:02:25,490
+تأثرت نتيجة وجودها في مجال الكهربائي وبالتالي
+
+27
+00:02:25,490 --> 00:02:31,070
+القانون تبعه بيقول أن F بتساوي Q في شدة المجال
+
+28
+00:02:31,070 --> 00:02:36,530
+الكهربائي صار أن القوة الكهربائية على أي شحنة ما نت
+
+29
+00:02:36,530 --> 00:02:40,830
+عليه في المجال بيساوي مقدار الشحنة في المجال عند
+
+30
+00:02:40,830 --> 00:02:48,260
+مكان هذه الشحنة وهذا عرفناه حنجيو بدنا نشتق قانون
+
+31
+00:02:48,260 --> 00:02:52,760
+عشان نجيب the electric field due to a point
+
+32
+00:02:52,760 --> 00:02:57,460
+charge عندي شحنة فاتفقنا أن أنا عندي شحنة Q هذه
+
+33
+00:02:57,460 --> 00:03:01,820
+الشحنة Q من التعريف ومن المنطق بيقول أن حواليها
+
+34
+00:03:01,820 --> 00:03:07,630
+في مجال كهربائي هذا المجال الكهربائي بينقص أو بيزيد
+
+35
+00:03:07,630 --> 00:03:12,970
+تبعا لعدة عوامل مقدار الشحنة وبعد النقطة عن الشحنة
+
+36
+00:03:12,970 --> 00:03:17,070
+صحيح ولا لأ بعد النقطة عن الشحنة بتوقع أن كل ما
+
+37
+00:03:17,070 --> 00:03:21,410
+زادت الشحنة the electric field will increase and
+
+38
+00:03:21,410 --> 00:03:25,310
+as the point is away from the charge the electric
+
+39
+00:03:25,310 --> 00:03:31,530
+field should decrease تمام الآن هذه الشحنة وهذا هو
+
+40
+00:03:31,530 --> 00:03:35,790
+المجال المتوقعة مطلوب من إيجاد شدة المجال
+
+41
+00:03:35,790 --> 00:03:40,590
+الكهربائي عند النقطة P النقطة P هذه خضرة بتبعد
+
+42
+00:03:40,590 --> 00:03:45,890
+مسافة R عن الشحنة قلنا من التعريف بقول شدة المجال
+
+43
+00:03:45,890 --> 00:03:50,630
+بتساوي القوة الكهربائية اللي بتأثر على small
+
+44
+00:03:50,630 --> 00:03:57,040
+positive tested charge إذا أنا بلزمني أفترض small
+
+45
+00:03:57,040 --> 00:04:02,220
+positive test charge عند النقطة P فلما أجيب أحطها
+
+46
+00:04:02,220 --> 00:04:06,280
+to do so we assume the existence assume معناته هذه
+
+47
+00:04:06,280 --> 00:04:10,160
+فرضية ال Q note أو test charge مش موجودة أنا
+
+48
+00:04:10,160 --> 00:04:15,400
+فرضتها the existence of a test charge Q0 at point P
+
+49
+00:04:15,400 --> 00:04:19,980
+وهي حصلت في عندي شحنة خيالية test charge ومقدارها
+
+50
+00:04:19,980 --> 00:04:25,380
+Q0 بعد ما افترضت بقولي اودي القوة التي تؤثر على Q0
+
+51
+00:04:25,380 --> 00:04:29,080
+عندي صار شحنتين شحنة أصلية موجودة أولاً وشحنة أنا
+
+52
+00:04:29,080 --> 00:04:32,460
+افترضتها مطلوب مني إيجاد القوة اللي على Q0
+
+53
+00:04:32,460 --> 00:04:38,810
+باستخدام قانون قانون كولوم قانون كولوم هو القانون
+
+54
+00:04:38,810 --> 00:04:42,930
+اللي بيجيب القوة بين أي شحنتين طبعاً الآن الشحنة
+
+55
+00:04:42,930 --> 00:04:46,850
+الأصلية positive والشحنة تست شارج positive القوة
+
+56
+00:04:46,850 --> 00:04:50,910
+اللي بينهم إيش هتكون تنافرية تنافرية إذا معناته
+
+57
+00:04:50,910 --> 00:04:53,750
+هيك هيكون اتجاه السهم الأخضر اللي أنتم شايفينه
+
+58
+00:04:53,750 --> 00:04:58,970
+هذا اتجاه القوة هيها هتكون E E نفسها from coulomb's
+
+59
+00:04:58,970 --> 00:05:07,740
+law the force upon the tested charge is FKQ1
+
+60
+00:05:07,740 --> 00:05:20,080
+Q2 Q0 over R2 R unit vector بعد
+
+61
+00:05:20,080 --> 00:05:26,720
+ما جبت E F بقدر أجيب E E equal F over Q0 أنا كيو
+
+62
+00:05:26,720 --> 00:05:30,340
+نوت اللي هنا بدأ أقسم عليها بتروح فبيصير عندي E
+
+63
+00:05:30,340 --> 00:05:34,840
+بتساوي KQ على R تربيع وهذا R unit vector واتفقنا
+
+64
+00:05:34,840 --> 00:05:38,680
+عشان يديني ال direction هاي قانون الآن بعد ما طلعت
+
+65
+00:05:38,680 --> 00:05:41,460
+القانون كيو نوت مش هتنزلني شباب ولا حلا استخدامها
+
+66
+00:05:41,460 --> 00:05:44,820
+في الحل أنا شغال في عندي قانون خلاص كيو نوت قدرت
+
+67
+00:05:44,820 --> 00:05:50,230
+مهمتها اشتققلي قانون حلوشكله بكتير بشبه شكل كولومز
+
+68
+00:05:50,230 --> 00:05:55,550
+لو اصلا كولومز لو نحن لدينا Q1 و Q2 E كم Q فيه
+
+69
+00:05:55,550 --> 00:06:00,650
+واحدة لأن E لكل واحدة فيه E كل شحنة E لكن ال F
+
+70
+00:06:00,650 --> 00:06:04,450
+ممكن تكون شحنة لحالها عليها F بتاعة two forces two
+
+71
+00:06:04,450 --> 00:06:09,530
+charges وبالتالي هذه هي القانون الجديد تبعنا اللي
+
+72
+00:06:09,530 --> 00:06:14,210
+هو E بتساوي KQ على R تربيع وهذا مجال point of
+
+73
+00:06:14,210 --> 00:06:17,460
+charge إذا لا ينطبق إلا على ال point of charge لما
+
+74
+00:06:17,460 --> 00:06:20,040
+يكون عندي كرة مشحونة هذا القانون ماقدرش يطبقه لما
+
+75
+00:06:20,040 --> 00:06:23,840
+يقول عندي الباب هذا كله مشحون في مجال حواليك كيف
+
+76
+00:06:23,840 --> 00:06:26,920
+بدي أحسبه؟ مش بهذا القانون بدي شغل تانية لأن هذا
+
+77
+00:06:26,920 --> 00:06:31,180
+بس لل point of charges تمام يا شباب؟ تمام طبعاً the
+
+78
+00:06:31,180 --> 00:06:34,480
+unit vector directed from Q to the point P السهم
+
+79
+00:06:34,480 --> 00:06:37,820
+الأخضر اللي تو كان كان من الشحنة ورايح على النقطة
+
+80
+00:06:37,820 --> 00:06:41,860
+P يعني لو طلعت عليه هي الأخضر
+
+81
+00:06:42,770 --> 00:06:48,870
+لو جلبت Q الأصلية لـ negative هينقلب السهم الأخضر
+
+82
+00:06:48,870 --> 00:06:52,870
+وينعكس اتجاهه صح ولا لأ بقول it is clear that if
+
+83
+00:06:52,870 --> 00:06:55,330
+the charge Q is negative it is .. it is .. ال
+
+84
+00:06:55,330 --> 00:06:58,050
+charge ماليش دعوة فيها دائماً positive اتفقنا أنا
+
+85
+00:06:58,050 --> 00:07:03,030
+اللي مقدر اتحكم فيه هو Q بقول if Q is negative the
+
+86
+00:07:03,030 --> 00:07:06,550
+direction of E will be reverse يعني لو هذه صارت
+
+87
+00:07:06,550 --> 00:07:11,130
+زرقة بيصير تجاذب وبيصير الخط الأخضر صار تجاذبي
+
+88
+00:07:11,130 --> 00:07:17,430
+أو انعكسوا من هنا فهمت أنه لما كان positive كان ال
+
+89
+00:07:17,430 --> 00:07:21,010
+direction outward from that charge ولما كانت Q
+
+90
+00:07:21,010 --> 00:07:25,050
+نيجاتيف كان inward from that charge فبقولي if Q is
+
+91
+00:07:25,050 --> 00:07:28,370
+positive the direction of E is outward from that
+
+92
+00:07:28,370 --> 00:07:32,860
+charge وهنشرحها وهنعمل حلقة مثلها هنطبقها و if q
+
+93
+00:07:32,860 --> 00:07:38,540
+is negative the direction of E زي ما هي موجودة is
+
+94
+00:07:38,540 --> 00:07:41,820
+inward to that charge رايح على ال charge إذا أنا
+
+95
+00:07:41,820 --> 00:07:45,480
+ببدأ من النقطة وبرطلع في اتجاه مجالي وأنا أروح
+
+96
+00:07:45,480 --> 00:07:49,170
+أطلع من الشحنة وأروح الشحنة بطلع من الشحنة إذا
+
+97
+00:07:49,170 --> 00:07:52,310
+كانت الشحنة positive وبروح عن الشحنة إذا كانت
+
+98
+00:07:52,310 --> 00:07:57,450
+الشحنة negative إيه بيكون حددت اتجاه المجال اتحدد
+
+99
+00:07:57,450 --> 00:08:00,710
+اتجاه المجال إيش بيبقى عندنا الكمية الفيزيائية ال
+
+100
+00:08:00,710 --> 00:08:03,730
+vector بدي magnitude صح ولا لأ لأن مضايقنيش خلصت
+
+101
+00:08:03,730 --> 00:08:07,110
+منه نحط على راسنا ال magnitude بدي أحسبه هذا
+
+102
+00:08:07,110 --> 00:08:10,210
+القانون ما بدينيش magnitude بدي أخليه يديني
+
+103
+00:08:10,210 --> 00:08:12,890
+magnitude أديه مليون ال vectors و ال vectors صح
+
+104
+00:08:12,890 --> 00:08:16,250
+ولا لأ عشان يديني magnitude بدي أجيبني unit vector
+
+105
+00:08:16,250 --> 00:08:19,730
+وهذا يجيبني magnitude معناته q ممنوع تكون سالبة ده
+
+106
+00:08:19,730 --> 00:08:24,110
+تديني ال absolute value صح ولا لأ؟ إذا بيقولي the
+
+107
+00:08:24,110 --> 00:08:28,230
+electric field at a point to a group جمع هذا
+
+108
+00:08:28,230 --> 00:08:32,570
+أخدناه لما يكون في عندي أكثر من مجال بدي أجمعهم the
+
+109
+00:08:32,570 --> 00:08:37,690
+magnitude of the electric field is obtained as K
+
+110
+00:08:37,690 --> 00:08:42,330
+absolute value of Q على R² إذا لما أجيب ال
+
+111
+00:08:42,330 --> 00:08:46,430
+magnitude Q لازم أخدي ال absolute value لها و
+
+112
+00:08:46,430 --> 00:08:49,910
+إشارتها وين راحت؟ هو الحد اللي اتجاهها أصلاً خلاص
+
+113
+00:08:49,910 --> 00:08:53,590
+الحد اللي اتجاهها الإشارة ما لهاش دعوة عشان أجيب ال
+
+114
+00:08:53,590 --> 00:08:59,440
+magnitude خلينا نبدأ الآن نحل أمثلة طبعاً كيف اللي
+
+115
+00:08:59,440 --> 00:09:03,120
+مثلاً بيجيبها مثلة شائعة ومتكررة في الأسئلة وفي أصل
+
+116
+00:09:03,120 --> 00:09:07,100
+اتنين امتحانات بيقولي two pointed charges of seven
+
+117
+00:09:07,100 --> 00:09:11,460
+microcoulomb and minus five microcoulomb وبالتالي
+
+118
+00:09:11,460 --> 00:09:15,260
+مقدار الشحن ونوح هيعطى إليك بين واحدة positive
+
+119
+00:09:15,260 --> 00:09:18,360
+اللي هي السابعة والتانية negative اللي هي ال five
+
+120
+00:09:18,360 --> 00:09:21,540
+are located and shown in the figure وال figure
+
+121
+00:09:21,540 --> 00:09:25,870
+مكمل لمعطيات السؤالحنديكم الفيجارة find the
+
+122
+00:09:25,870 --> 00:09:29,290
+resultant electric field at point P والـ point P
+
+123
+00:09:29,290 --> 00:09:33,130
+بتكون معروفة محددة بالرسمة وبالتالي دائماً لما
+
+124
+00:09:33,130 --> 00:09:37,350
+يقولك find the electric field he should specify
+
+125
+00:09:37,350 --> 00:09:41,270
+where لازم يقولك وين بالظبط ما ينفعش يقولك find the
+
+126
+00:09:41,270 --> 00:09:44,810
+electric field وفلّتك لأن المجال بيختلف من نقطة ولا
+
+127
+00:09:44,810 --> 00:09:47,950
+نقطة ولا لأ إذا لازم يقولك وين أنا بالزمان
+
+128
+00:09:47,950 --> 00:09:52,740
+يحدد لي وين بده المجال الكهربائي الرسمة ده هيعندى
+
+129
+00:09:52,740 --> 00:09:55,040
+الشحنة ال positive اللي هي الحمرة والشحنة ال
+
+130
+00:09:55,040 --> 00:09:58,400
+negative اللي هي الزرقة والنقطة P مبينة صح ولا لأ
+
+131
+00:09:58,400 --> 00:10:03,380
+تمام بضل بدي أنا أبعد بقولي هدى Q1 وهدى Q2 وهدى
+
+132
+00:10:03,380 --> 00:10:07,840
+0.3 وهدى 0.4 متر إذا خلاص كل معطيات السؤالين عرفت
+
+133
+00:10:07,840 --> 00:10:11,200
+اضل ال تالت بقدر أجيبه من في the horse صح ولا لأ
+
+134
+00:10:11,200 --> 00:10:16,620
+خلاص إيش بدي أسويه الآن ال point P عنده النقطة P
+
+135
+00:10:16,620 --> 00:10:22,370
+كم مجال فيه شباب من الـQ1 في عندي E1 ومن الـQ2 في
+
+136
+00:10:22,370 --> 00:10:27,910
+عندي E2 إذا أنا عندي two electric fields أول خطوة
+
+137
+00:10:27,910 --> 00:10:32,310
+نتفق نعملها بدنا نحدد اتجاه المجالات على الرسمة
+
+138
+00:10:32,310 --> 00:10:36,710
+كيف؟ الشحنة مبينة أنها positive أو negative؟ مبينة
+
+139
+00:10:36,710 --> 00:10:43,330
+نبدأ بـE1 من Q1 الـQ1 positive أو negative؟ شدة
+
+140
+00:10:43,330 --> 00:10:47,150
+المجال outward كيف بدي أبدأ شباب جالي من الرصاص
+
+141
+00:10:47,150 --> 00:10:49,930
+بيكون عنده نقطة لأن أنا بدي أجيب شدة المجال عنده
+
+142
+00:10:49,930 --> 00:10:52,510
+نقطة ولا لأ جالي من الرصاص عنده نقطة هدفي عندي
+
+143
+00:10:52,510 --> 00:10:57,150
+خيارين لا أطلع لا أنزل على الشحنة صح ولا لأ الشحنة
+
+144
+00:10:57,150 --> 00:10:59,630
+positive أروح الهواء ولا أطلع منها إذا إيش بدي
+
+145
+00:10:59,630 --> 00:11:03,590
+أتوقع كيف .. فور هذا هي إذا أنا جاي من الرصاص
+
+146
+00:11:03,590 --> 00:11:06,710
+بيكون عنده نقطة دائماً لأن أنا هناك بدي شدة المجال
+
+147
+00:11:06,710 --> 00:11:12,430
+at point P أو point P معروفة فبقول الاتجاهات في
+
+148
+00:11:12,430 --> 00:11:16,190
+المنطقة الإلكترونية لجميع تجاربها تظهر
+
+149
+00:11:18,510 --> 00:11:23,710
+فيش أي احتمال آخر حطيت أصبعي عند النقطة P وقلت
+
+150
+00:11:23,710 --> 00:11:27,570
+outward بقولي عشان ال positive outward طلعت من
+
+151
+00:11:27,570 --> 00:11:31,550
+الشحنة فيش مجال طبعاً it should be along the line
+
+152
+00:11:31,550 --> 00:11:34,690
+between the point and the charge هذه معروفة مش
+
+153
+00:11:34,690 --> 00:11:37,250
+صحيح يقولي طب outward فيش لهاد الاتجاه خليني
+
+154
+00:11:37,250 --> 00:11:41,550
+أطلعها هيك ما ينفعش ولا أطلعها هيك ما ينفعش لازم تكون
+
+155
+00:11:41,550 --> 00:11:44,570
+على الخط صحيح ولا لأ؟ يعني ما فيش مجال تقولك ما هي
+
+156
+00:11:44,570 --> 00:11:47,890
+طالعة هيك ولا هيك طالعة لازم تكون على الخط هذا
+
+157
+00:11:47,890 --> 00:11:51,610
+واضحة هذه الأمور سهلة ما فيش فيها مجال أنه انخربت
+
+158
+00:11:51,610 --> 00:11:57,370
+طيب نجري اثنين برضه قلم رصاص على النقطة P هجيت في
+
+159
+00:11:57,370 --> 00:12:03,190
+عيني خيارين لا أطلق لا أجي صح ولا لأ هذه إيش إذا
+
+160
+00:12:03,190 --> 00:12:06,710
+بدها تكون بهذا الشكل
+
+161
+00:12:12,610 --> 00:12:21,740
+two directions نعرفوها واضح أن E1 along the Y axis
+
+162
+00:12:21,740 --> 00:12:27,100
+و E2 is between the X and Y axis صح ولا لأ it has
+
+163
+00:12:27,100 --> 00:12:31,240
+a component along the positive X axis and another
+
+164
+00:12:31,240 --> 00:12:35,100
+component along the negative Y axis لما دي أحللها
+
+165
+00:12:35,100 --> 00:12:40,800
+E2 مش مركبة سينية موجبة ومركبة صادية لأسفل سالبة
+
+166
+00:12:40,800 --> 00:12:43,860
+طب كيف بدي أجيب المركبات واحدة واحدة قبل ما أحلل
+
+167
+00:12:43,860 --> 00:12:47,890
+بدي أجيب ال magnitudes الـ Direction جهزه تظهر علي
+
+168
+00:12:47,890 --> 00:12:53,990
+المجموعات دعنا نتكلم عن مجموعات الهواتف لكل شركة
+
+169
+00:12:53,990 --> 00:12:58,830
+أحد أحد أحد أحد أحد أحد أحد أحد أحد أحد
+
+170
+00:12:58,830 --> 00:13:02,810
+أحد أحد أحد أحد أحد أحد أحد أحد أحد أحد
+
+171
+00:13:02,810 --> 00:13:03,030
+أحد أحد أحد أحد أحد أحد أحد أحد أحد أحد
+
+172
+00:13:03,030 --> 00:13:04,650
+أحد أحد أحد أحد أحد أحد أحد أحد أحد أحد
+
+173
+00:13:04,650 --> 00:13:05,430
+أحد أحد أحد أحد أحد أحد أحد أحد أحد أحد
+
+174
+00:13:05,430 --> 00:13:07,290
+أحد أحد أحد أحد أحد أحد أحد أحد أحد أحد
+
+175
+00:13:07,290 --> 00:13:07,730
+أحد 
+
+176
+00:13:13,920 --> 00:13:18,160
+E1 due to the 7 micro coulomb and E2 due to the
+
+177
+00:13:18,160 --> 00:13:23,600
+minus 5 micro coulomb E1 equal K the absolute
+
+178
+00:13:23,600 --> 00:13:28,480
+value of Q1 over R1 square طبعاً R1 هي المسافة بين
+
+
+201
+00:15:36,700 --> 00:15:40,540
+لأنه أنا بجيب ال absolute value of q بطلع على ال
+
+202
+00:15:40,540 --> 00:15:43,740
+magnitude زي ما حكيت لكم إذا ما في five ten to
+
+203
+00:15:43,740 --> 00:15:48,020
+power minus six over 0.5 square و ال 0.5 هو
+
+204
+00:15:48,020 --> 00:15:55,000
+المسافة ما بين E P و Q2 في فيثاغورس حكى لي إنها 0.5
+
+205
+00:15:55,000 --> 00:16:00,040
+طلعت طلعت one point eight ten to power six Newton
+
+206
+00:16:00,040 --> 00:16:05,790
+per column حلو، الـ two magnitudes are ready now بدي 
+
+207
+00:16:05,790 --> 00:16:10,930
+اكتبهم ك vectors دلوقتي، E1 بدهاش تحليل، E2 بدي
+
+208
+00:16:10,930 --> 00:16:14,130
+احللها، we have to resolve it into two components
+
+209
+00:16:14,130 --> 00:16:19,750
+تمام، بيقول لي in vector notation we have for E1 زي
+
+210
+00:16:19,750 --> 00:16:23,590
+ما حكينا، E1 سهل على العملية، مجرد اني بكتب E1 equal
+
+211
+00:16:23,590 --> 00:16:27,310
+to 3.9 10 to the power of 5 وحطي جنبها i عادي
+
+212
+00:16:29,920 --> 00:16:37,140
+التانية ماذا نفعل فيها؟ نحدد الزاوية والمركبات 
+
+213
+00:16:37,140 --> 00:16:42,640
+التابعة لها، هيدهن واحدة سينية موجبة والتانية صادية 
+
+214
+00:16:42,640 --> 00:16:49,880
+سالبة، بدي زاوية، فانا اخترت الزاوية هذه، إذا صارت 
+
+215
+00:16:49,880 --> 00:17:00,160
+E2 بيتساوي 1.8 x 10 to power 5 cos θ minus 1.8 x 10 to power 5 sin θ كيف
+
+216
+00:17:00,160 --> 00:17:05,420
+بتجيب cos θ و sin θ الآن، الزاوية
+
+217
+00:17:05,420 --> 00:17:10,620
+بالتبادل، بتساوي الزاوية هذه ولا لأ، أو هذه الـ cos
+
+218
+00:17:10,620 --> 00:17:16,600
+بتساوي 0.3 على 0.5، و sin بتساوي 0.4 على 0.5، صح ولا 
+
+219
+00:17:16,600 --> 00:17:21,400
+لأ، إذا الزاوية اللي انا بدور عليها هي نفسها الحمراء
+
+220
+00:17:21,400 --> 00:17:28,180
+هذه، صحيح ولا لأ، و هذه صار عندي، هذه بتساوي 0.3 على 0
+
+221
+00:17:28,180 --> 00:17:38,560
+.5 بتساوي 0.6، 3 ع 5، و ال sin 4 ع 5 اللي هي 0.8، إذا
+
+222
+00:17:38,560 --> 00:17:40,980
+الـ cosine و الـ sine أنا عارف، طبعا أنا بدي 
+
+223
+00:17:40,980 --> 00:17:43,220
+الزاوية، بدي ال cos و ال sin، بدي الزاوية، ماني 
+
+224
+00:17:43,220 --> 00:17:53,080
+جايبها، بعد ما حسبناها طلعت بهذا الشكل، بعد ما
+
+225
+00:17:53,080 --> 00:18:00,180
+جيبت E1 and E2 شباب، الآن E الكلية هي E1 plus E2
+
+226
+00:18:00,180 --> 00:18:06,200
+the vector sum of E1 plus E2، فصارت سهلة، now the
+
+227
+00:18:06,200 --> 00:18:13,630
+resultant electric field at point P is EP equals E1
+
+228
+00:18:13,630 --> 00:18:23,270
+plus E2، جمعتهم فطلعتها بهذا الشكل، طبعا
+
+229
+00:18:23,270 --> 00:18:25,950
+ايه مع السينية مع السينية، و الصادية مع الصادية، و
+
+230
+00:18:25,950 --> 00:18:30,010
+بالتالي طلع الجواب بهذا الشكل، في مشكلة شباب، فينا 
+
+231
+00:18:30,010 --> 00:18:34,770
+نطبق زي ال force بالظبط، مافيش مشكلة بعدد واتجاه 
+
+232
+00:18:34,770 --> 00:18:39,850
+بجيب كل واحدة على حدة، بكتبهم ك vectors بعدين بجمع
+
+233
+00:18:39,850 --> 00:18:46,930
+في مشكلة؟ في أي سطر؟ صار يا شباب؟ هيك هيكون الأسئلة
+
+234
+00:18:46,930 --> 00:18:54,670
+مشابهة لهذه الأسئلة، كمان مثال بيقول لي برضه عندك a 
+
+235
+00:18:54,670 --> 00:18:57,690
+positive point in charge q and a negative point in
+
+236
+00:18:57,690 --> 00:19:02,470
+charge minus q، عندك two charges، المثال السابق 
+
+237
+00:19:02,470 --> 00:19:05,870
+يعطاني قيمها، واحدة خمسة ماقص خمسة، وواحدة سبعة صح
+
+238
+00:19:05,870 --> 00:19:09,570
+ولا لأ، الآن جلبي ديش اديك أرقام، واحدة q واحدة سالب 
+
+239
+00:19:09,570 --> 00:19:17,340
+q، و 1 موجبة و 1 سالبة و نفس المقدار are separated by
+
+240
+00:19:17,340 --> 00:19:22,040
+a distance 2A، و بينهم مسافة 2A اللي بين الشحنتين
+
+241
+00:19:22,040 --> 00:19:27,800
+فلتك منه اللي ضايبون، ايش بده؟ find E at a point P a
+
+242
+00:19:27,800 --> 00:19:31,120
+distance Y، و Y أكبر بكثير من A، from the origin، خلينا 
+
+243
+00:19:31,120 --> 00:19:35,690
+نرسم الرسمة أولا، هذه هي، في عندي الشحنة الحمراء 
+
+244
+00:19:35,690 --> 00:19:39,750
+والشحنة الزرقاء الـ negative، واحدة Q والتانية سالب Q 
+
+245
+00:19:39,750 --> 00:19:45,010
+نفس المقدار، بدو الشدة المجال الكهربائي عند نقطة P، و
+
+246
+00:19:45,010 --> 00:19:48,830
+النقطة P شباب عاملة مع الشحنتين مثلث متساوي
+
+247
+00:19:48,830 --> 00:19:53,550
+الساقين، هذا معطى، تمام؟ لأنه شايفين انه A و A من
+
+248
+00:19:53,550 --> 00:19:57,410
+النص، وبالتالي هذه مثلث متساوي الساقين، بمعنى آخر 
+
+249
+00:19:57,410 --> 00:20:03,610
+شباب، هدا ضلع، حاجة بدي اعتبره R، و هدا ضلع، حاجة برضه R
+
+250
+00:20:03,610 --> 00:20:07,050
+تمام؟
+
+251
+00:20:07,050 --> 00:20:10,590
+نفس الاضلاع ولا لأ؟ نفس الاضلاع، ايش بده؟ بده
+
+252
+00:20:10,590 --> 00:20:15,940
+المجال الكلي، اه كم مجال عند نقطة P؟ اتنين، الآن 
+
+253
+00:20:15,940 --> 00:20:18,860
+المعطيات اللي بيقولي، هدى A وسالب A، وسماه
+
+254
+00:20:18,860 --> 00:20:22,280
+electric dipole، انه أكبر كتير من A، ليش عملها
+
+255
+00:20:22,280 --> 00:20:27,540
+احنا المجال الكهربائي بنجرّسه، ليش بس عشان يشوف لي
+
+256
+00:20:27,540 --> 00:20:30,100
+شحنة وشحنة، وانتوا في الواقع في شحنة هنا، عروس 
+
+257
+00:20:30,100 --> 00:20:34,880
+مليان شحنات، و بنجيب شدة مجال لها، لأ الواقع مش هيك 
+
+258
+00:20:34,880 --> 00:20:39,700
+طب هو شو الواقع؟ الواقع شباب، انه حكينا من بدايات 
+
+259
+00:20:39,700 --> 00:20:46,730
+المادة، إن أصل الشحنات هي الـ Atoms، Electrons and
+
+260
+00:20:46,730 --> 00:20:51,610
+Protons، وكل مادة فيها Electrons and Protons ولا لأ؟
+
+261
+00:20:51,610 --> 00:20:55,050
+إذا أنا بتوقع الآن في كل مادة في مجال كهربائي ولا 
+
+262
+00:20:55,050 --> 00:20:58,450
+لأ؟ في مجال كهربائي، طب و المجال الكهربائي تطبيقاته
+
+263
+00:20:58,450 --> 00:21:01,250
+كثيرة، هذه المادة اللي بدي أنا أحطها في الكمبيوتر 
+
+264
+00:21:01,250 --> 00:21:03,690
+ولا في الكمبيوتر، ولا في سيارة، ولا وين ما يكون يكون
+
+265
+00:21:03,690 --> 00:21:07,980
+لازم أعرف خواصها، من ضمن الخواص المهمة اللي بدي 
+
+266
+00:21:07,980 --> 00:21:11,000
+أعرفها جوا المادة هو إنه هل في مجال كهربائي ولا
+
+267
+00:21:11,000 --> 00:21:15,580
+لأ؟ لأن لو حاططها بمجال كهربائي ممكن تعملي مشكلة، 
+
+268
+00:21:15,580 --> 00:21:19,680
+صح ولا لأ؟ إذا لابد أنا أفحص هذه الخواص، قالك طب
+
+269
+00:21:19,680 --> 00:21:22,240
+هذه المادة كيف بدك تجيب مجالها؟ قال المادة مليانة
+
+270
+00:21:22,240 --> 00:21:26,120
+متكونة، خليني على أبسط الشغلات، بروتون وإلكترون، 
+
+271
+00:21:26,120 --> 00:21:30,060
+صح ولا لأ؟ شحنة البروتون وشحنة الإلكترون متساويات
+
+272
+00:21:30,060 --> 00:21:33,280
+ولا مش متساويات؟ و واحدة منهم positive و واحدة منهم 
+
+273
+00:21:33,280 --> 00:21:38,120
+negative ولا لأ؟ زي المثال هذا، إذاً هذا مثال حي 
+
+274
+00:21:38,120 --> 00:21:44,740
+لمادة واقعية، هذا الجزيء اللي proton و electron أو 
+
+275
+00:21:44,740 --> 00:21:48,400
+positive molecule and negative molecule بيسموه 
+
+276
+00:21:48,400 --> 00:21:52,200
+electric dipole، فنائي قطب بي دايما مع بعض بيكونوا
+
+277
+00:21:52,200 --> 00:21:55,540
+في المادة، بينفصلوش، دايما حوالي بعض، فهذه بيسموها
+
+278
+00:21:55,540 --> 00:21:58,560
+electric dipole، إذا شوفوا الـ electric dipole بيقول
+
+279
+00:21:58,560 --> 00:22:01,280
+positive charge and negative charge بينهم مسافة
+
+280
+00:22:01,280 --> 00:22:05,180
+بيسموه electric dipole، بقالوش مرة عليكم كلمة dipole 
+
+281
+00:22:05,180 --> 00:22:08,800
+ولا لأ، في مكان ما؟ مش مشكلة، التصميم أنا بالنسبالي 
+
+282
+00:22:08,800 --> 00:22:11,240
+إلى هنا أنا، بتطبيق بدي أجيب في النهاية شدة مجال 
+
+283
+00:22:11,240 --> 00:22:15,540
+الكهربائي، طيب إيش معنى Y أكبر كتير من A؟ جالي 
+
+284
+00:22:15,540 --> 00:22:19,160
+أرجع لذرة الهيدروجين، جديش المسافة بين الإلكترون
+
+285
+00:22:19,160 --> 00:22:23,460
+والبروتون؟ مش خدتها مثال أنا؟ ذاكرينها؟ لما جبت 
+
+286
+00:22:23,460 --> 00:22:27,720
+القوة الكهربية والقوة التجاذبية بين الإلكترون
+
+287
+00:22:27,720 --> 00:22:30,540
+والبروتون؟ جديش المسافة بين الإلكترون والبروتون؟
+
+288
+00:22:30,540 --> 00:22:35,180
+نص أنجستروم تقريبا، نص أنجستروم، كبيرة ولا صغيرة؟
+
+289
+00:22:35,180 --> 00:22:40,280
+صغيرة كتير، إذا دائما المسافة بين الإلكترون
+
+290
+00:22:40,280 --> 00:22:44,500
+والبروتون الصغيرة اللي هي A هنا، بيقول لي Y عادة 
+
+291
+00:22:44,500 --> 00:22:49,790
+حتى لو كانت ملليمتر، بتكون أكبر كتير من A، بتكون أكبر
+
+292
+00:22:49,790 --> 00:22:52,730
+كتير من A، فلما يقول لي Y أكبر كتير من A برضه 
+
+293
+00:22:52,730 --> 00:22:57,050
+عشان يجربني لواقع التطبيق، إنه هيك بتكون في الواقع
+
+294
+00:22:57,050 --> 00:23:00,350
+إن المسافات اللي أنت بتتعامل معاها بين electron و
+
+295
+00:23:00,350 --> 00:23:05,070
+proton is microscopic، very very small، فهذه مجرد 
+
+296
+00:23:05,070 --> 00:23:08,170
+هيك، أما احنا في النهاية كمثال أنا بحلله عادي أنا
+
+297
+00:23:08,170 --> 00:23:15,920
+وياكم، احكي يا عماري، هو هدراء تانية، معطيات النقطة P
+
+298
+00:23:15,920 --> 00:23:21,820
+جايبها، بتقع على الخط الفاصل بالنص بالظبط، يعني هو لما
+
+299
+00:23:21,820 --> 00:23:25,820
+يقولك هذه A وهذه A وحط لك النقطة P في منتصفها 
+
+300
+00:23:25,820 --> 00:23:29,520
+بتكونش متساوي الساقين، مش متساوي الساقين، الخط اللي 
+
+301
+00:23:29,520 --> 00:23:33,500
+بنزل به عمود بالنص، هذا من خواص مثلث متساوي الساقين
+
+302
+00:23:33,500 --> 00:23:38,040
+إذا من معطيات السؤال هو حدد النقطة P، اول ما
+
+303
+00:23:38,040 --> 00:23:40,720
+شوفت النقطة P قلت إذا هذا مثلث متساوي الساقين
+
+304
+00:23:40,720 --> 00:23:46,830
+واضح، تمام، إذا أنا كمثال، هذه القضية التي فيها Y أكبر
+
+305
+00:23:46,830 --> 00:23:50,410
+بكثير من A، عرفني إيش الهدف منها، علشان
+
+306
+00:23:50,410 --> 00:23:55,150
+يقربني، يقول لي هذا نموذج واقعي للمادة، أيًّا كانت
+
+307
+00:23:55,150 --> 00:23:58,350
+المادة، لكن في النهاية كمثال بتحله أنا وياكم عادي
+
+308
+00:23:58,350 --> 00:24:01,970
+أكثر مجالات، اتفقنا فيه مجالين، واحد من الـ positive
+
+309
+00:24:01,970 --> 00:24:05,250
+واحد من الـ negative، نبدأ بالـ positive اللي هو E1
+
+310
+00:24:05,250 --> 00:24:10,920
+شدة المجال كيف تكون في جاهز outward، تمام، إذا أنا بدي
+
+311
+00:24:10,920 --> 00:24:13,940
+أقول the directions of the electric field due to
+
+312
+00:24:13,940 --> 00:24:17,180
+each charge are same، مثل الصادق، قول عادي عامل هيك
+
+313
+00:24:17,180 --> 00:24:23,440
+أيّ واحد، في مشكلة شباب؟ طيب التاني بده يكون inward صح 
+
+314
+00:24:23,440 --> 00:24:27,540
+ولا لأ؟ حلو، الـ direction بين الـ two، والتانيين بدهم تحليل
+
+315
+00:24:27,540 --> 00:24:32,180
+ولا لأ، التانيين بدهم تحليل، طيب عشان أحل بدي بال
+
+316
+00:24:32,180 --> 00:24:36,740
+magnitude، الـ magnitude بساوي K absolute value of the
+
+317
+00:24:36,740 --> 00:24:40,820
+charge على R تربيع صح ولا لأ؟ الأولى والتانية الـ
+
+318
+00:24:40,820 --> 00:24:43,040
+absolute value of the charges بيختلفوا عن بعض؟ لأ لأ 
+
+319
+00:24:43,040 --> 00:24:45,520
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+320
+00:24:45,520 --> 00:24:46,480
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+321
+00:24:46,480 --> 00:24:46,540
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+322
+00:24:46,540 --> 00:24:46,640
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+323
+00:24:46,640 --> 00:24:47,400
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+324
+00:24:47,400 --> 00:24:51,120
+لأ لأ لأ لأ ل
+
+325
+00:24:55,460 --> 00:24:58,320
+The resultant electric field at point B بيقول 
+
+326
+00:24:58,320 --> 00:25:02,520
+بيقول بيقول
+
+327
+00:25:02,520 --> 00:25:13,400
+بيقول بيقول بيقول بيقول بيقول بيقول بيقول بيقول 
+
+328
+00:25:13,400 --> 00:25:16,780
+بيقول بيقول بيقول بيقولو، E negative جاي من
+
+329
+00:25:16,780 --> 00:25:20,160
+negative charge، و أنا شباب، تمام، عندي two electric
+
+330
+00:25:20,160 --> 00:25:23,720
+fields، و بدي أجمعهم، حددت اتجاهاتهم، لجيب الـ
+
+331
+00:25:23,720 --> 00:25:29,550
+magnitudes، بيقول لي since B is equidistant from 
+
+332
+00:25:29,550 --> 00:25:33,410
+the two charges، على أبعاد متساوية من الشحنتين
+
+333
+00:25:33,410 --> 00:25:38,030
+لأنهم مثلث ومتساوي الساقين، بما أن B تبعد عن الـ
+
+334
+00:25:38,030 --> 00:25:41,390
+positive charge بنفس المسافة اللي بتبعدها عن الـ
+
+335
+00:25:41,390 --> 00:25:43,850
+negative charge، equidistance يعني على أبعاد
+
+336
+00:25:43,850 --> 00:25:47,890
+متساوية from the two charges، the magnitude of E 
+
+337
+00:25:47,890 --> 00:25:52,290
+plus and E negative are equal، لأن اتفاقنا E بيساوي K
+
+338
+00:25:52,290 --> 00:25:57,550
+الـ two K، واحدة absolute value للـ Q، والتانية واحدة
+
+339
+00:25:57,550 --> 00:26:01,250
+على مربع المسافة، ومربع المسافة واحد ولا لأ؟ إذا the 
+
+340
+00:26:01,250 --> 00:26:04,890
+magnitude of E plus and the magnitude of E
+
+341
+00:26:04,890 --> 00:26:11,430
+negative are the same، إيش بيساوي؟ بتساوي K Q على R
+
+342
+00:26:11,430 --> 00:26:17,760
+تربيع، صح ولا لأ؟ طب R بقدر أجيبها بجللة Y و A؟ اه لأن
+
+343
+00:26:17,760 --> 00:26:21,520
+Y و A هي المعطيات، أرض مش معطى، وهذي بتساوي لو بدي
+
+344
+00:26:21,520 --> 00:26:25,260
+أجي أعملها A تربيع زي Y تربيع، صح ولا لأ شباب؟
+
+345
+00:26:25,260 --> 00:26:29,780
+تمام، الـ magnitude عامة، إيش ضالّ عليها؟ أكتبهم ك
+
+346
+00:26:29,780 --> 00:26:33,060
+vectors و أجمع، صح ولا لأ؟ ده عشان أكتبهم ك vectors
+
+347
+00:26:33,060 --> 00:26:37,620
+بدي أحللهم، خلينا نحلل E واحد، تصوّروا كده تكون
+
+348
+00:26:37,620 --> 00:26:43,000
+واحدة رايحة positive x زي كده، والتانية فوق، فبوت تانية
+
+349
+00:26:44,170 --> 00:26:47,770
+وواحدة positive x، x والتانية طيب، الـ positive
+
+350
+00:26:47,770 --> 00:26:51,230
+واحدة فوق وواحدة تحتها، متساويات، اتصرف فيهم؟ بدهم
+
+351
+00:26:51,230 --> 00:26:55,940
+يلغوا بعض، صح ولا لا؟ خلينا نحكي، بقول as it is
+
+352
+00:26:55,940 --> 00:27:00,320
+clear from the directions of the two fields، من الـ
+
+353
+00:27:00,320 --> 00:27:05,600
+direction تبعت الـ two fields، the Y components are
+
+354
+00:27:05,600 --> 00:27:12,220
+cancel out، of E plus and E minus cancel each other
+
+355
+00:27:12,220 --> 00:27:15,300
+عدنا بنشوفها على الرسمة، the net electric field at
+
+356
+00:27:15,300 --> 00:27:19,870
+P is therefore هاي الأولى صح، هيك تحليلها؟ E plus
+
+357
+00:27:19,870 --> 00:27:25,330
+هيتحليلها، والتانية هيتحليلها، صحيح ولا لأ؟ اتطلع
+
+358
+00:27:25,330 --> 00:27:30,010
+شوفوا الـ Y components ايش صار فيهم؟ واحدة لفوق و
+
+359
+00:27:30,010 --> 00:27:33,910
+واحدة لتحت، مظبوط؟
+
+360
+00:27:33,910 --> 00:27:38,390
+هيك؟ حاجات الـ two عكس بعض، واحنا اتفقنا من أول إن
+
+361
+00:27:38,390 --> 00:27:44,330
+هم متساويات، أجمعهم، راحوا، والسينية بينجمعوا مع بعض
+
+362
+00:27:44,330 --> 00:27:49,440
+صح ولا لأ؟ إذن راحوا، ونظر عندي E باتجاه السينية 
+
+363
+00:27:49,440 --> 00:27:53,640
+طيب هي كام مركبة سينية فيها عندي، إذا مجموعهم 
+
+364
+00:27:53,640 --> 00:27:56,260
+السينية الأولى زي السينية التانية، طب السينية كيف 
+
+365
+00:27:56,260 --> 00:27:59,920
+ده، بتجيبها، مش بدي A Cos الزاوية، مظبوط ولا لأ؟ و
+
+366
+00:27:59,920 --> 00:28:03,500
+Cos الزاوية سهل، Cos الزاوية شبكة لو أخدت زاوية 
+
+367
+00:28:03,500 --> 00:28:0
+
+401
+00:30:21,060 --> 00:30:21,200
+Theta Plus E Minus Theta Plus E Minus Theta Plus E
+
+402
+00:30:21,200 --> 00:30:21,460
+Minus Theta Plus E Minus Theta Plus E Minus Theta
+
+403
+00:30:21,460 --> 00:30:21,520
+Plus E Minus Theta Plus E Minus Theta Plus E Minus
+
+404
+00:30:21,520 --> 00:30:27,250
+Plus E Minكداش يعني؟ Y على R صح ولا لأ؟ إذا
+
+405
+00:30:27,250 --> 00:30:29,710
+كوساين الثيتا بيساوي Y على R طبعا كوساين الثيتا الأولى
+
+406
+00:30:29,710 --> 00:30:32,190
+والتانية بيساوي بعض ولا بيساويش بعض؟ بيساوي بعض
+
+407
+00:30:32,190 --> 00:30:35,310
+لأنه طلع عنده هذه الزاوية أو هذه الزاوية كوساينها
+
+408
+00:30:35,310 --> 00:30:38,990
+إيش؟ A على R أو هيك A على R هذي بيعني إنه برضه
+
+409
+00:30:38,990 --> 00:30:43,920
+متساوى الصقيل تمام الزاوية متساوية cos θ بيساوي E
+
+410
+00:30:43,920 --> 00:30:48,060
+على R صح ولا لأ ارجع فوق E plus و E minus بيساوي
+
+411
+00:30:48,060 --> 00:30:51,880
+بعد و cos θ الأولى و cos θ التانية بيساوي بعد إذا
+
+412
+00:30:51,880 --> 00:30:58,900
+ايه الكلية بيساوي 2E cos θ E طلعتها بيساوي KQ على
+
+413
+00:30:58,900 --> 00:31:04,320
+R تربيع إذا صار الجواب 2KQR
+
+414
+00:31:04,320 --> 00:31:11,560
+على R تربيع حد هو E مظبوط ولا لا؟ وcos θ بتساوي a
+
+415
+00:31:11,560 --> 00:31:17,800
+على r جمعت طلعت هيك 2KQ a على r تكعيب طبعا
+
+416
+00:31:17,800 --> 00:31:21,560
+باتجاه ال I عسله الصيني متش شايفينه باتجاه ال I
+
+417
+00:31:21,560 --> 00:31:25,800
+طيب ده اللي هادي ال R وانت طوا كتبتليها بدلات ايش
+
+418
+00:31:25,800 --> 00:31:33,360
+Y وA مظبوط ولا لا؟R تكعيب بتساوي A تربيع زي ال Y
+
+419
+00:31:33,360 --> 00:31:37,820
+تربيع جذر التلاتة عتني صحيح ولا لأ لأن ال R هي
+
+420
+00:31:37,820 --> 00:31:43,420
+square root of A تربيع plus Y تربيع طيب طبعا
+
+421
+00:31:43,420 --> 00:31:48,560
+الجواب كمثال خلص هنا خلصت انتهينا بس انا حكيت انه
+
+422
+00:31:48,560 --> 00:31:54,780
+عشان واقعي هذا و حكيلي جايلي Y much greater than A
+
+423
+00:31:54,780 --> 00:32:02,900
+و Y أكبر كتير من A هذه Y كبيرة وهذه A ذاكرين في
+
+424
+00:32:02,900 --> 00:32:06,000
+فيزياء ألف يقولنا واحد معاه مليون دينار و كمان دينار
+
+425
+00:32:06,000 --> 00:32:08,780
+يقوله جدش معاك يقولك مليون دينار ولا يقولك مليون
+
+426
+00:32:08,780 --> 00:32:12,860
+دينار و دينار خلاص دينار الله سهل عليه و واحد محش
+
+427
+00:32:12,860 --> 00:32:16,850
+إلا دينار بيرضى تقوله مش موجود معاك؟ بقولك هو كل
+
+428
+00:32:16,850 --> 00:32:21,590
+اللي حيلتي صح ولا لأ؟ إذا دائما التقريب بيكون بحسب
+
+429
+00:32:21,590 --> 00:32:26,950
+اللي بتقارن معاه بيقول why مليون دينار؟ وها دي
+
+430
+00:32:26,950 --> 00:32:30,320
+دينار؟ الله سهل عليه الدينار، ايش بيطلع عندي؟ واي
+
+431
+00:32:30,320 --> 00:32:33,320
+تربيع واي تربيع تلاتة عتنين بيصير وقتك عيب ولا لأ
+
+432
+00:32:33,320 --> 00:32:36,720
+إذا هذا بيستبدل هذا حالة خاصة شباب زي ما اتفقنا
+
+433
+00:32:36,720 --> 00:32:41,400
+هنا خلصت المثال هجيت انا بس مجرب المعطيات بدي أجمل
+
+434
+00:32:41,400 --> 00:32:46,280
+الجواب اقول بما انه قال لي ان واي كتير اكبر من ايه
+
+435
+00:32:46,280 --> 00:32:53,570
+بيصح لي في اكبر كتير من ايه هو اعطاني هذا الشرق ال
+
+436
+00:32:53,570 --> 00:32:57,490
+first
+
+437
+00:32:57,490 --> 00:33:04,000
+term اللي هو الدينار أهمله So that R تكعيب is
+
+438
+00:33:04,000 --> 00:33:09,100
+approximated to بيصير R تكعيب تقريبا بتساوي Y
+
+439
+00:33:09,100 --> 00:33:14,340
+تكعيب خلاص فبتصيريش سؤال بيقولك شدة المجال داخل
+
+440
+00:33:14,340 --> 00:33:19,480
+المادة هو عبارة عن K اتنين ا على Y تكعيب تقريبا
+
+441
+00:33:19,480 --> 00:33:21,820
+يعني بمعنى آخر لما يقولك اوجد شدة المجال داخل
+
+442
+00:33:21,820 --> 00:33:24,360
+المادة عن نقطة معينة ما لكش دعوة من المسافات اللي
+
+443
+00:33:24,360 --> 00:33:28,240
+جوا خلاص بتقعد على Y تكعيب و بتريح حالك تقريبا
+
+444
+00:33:28,240 --> 00:33:32,130
+بيساوي بعض و بيجيبها عشان برضه يسهلوا احارب دالة
+
+445
+00:33:32,130 --> 00:33:36,110
+هذه الكمية شباب اللي هي Q في المسافة اللي بين
+
+446
+00:33:36,110 --> 00:33:39,230
+الشحنتين مش 2A المسافة بين الشحنتين الـQ في
+
+447
+00:33:39,230 --> 00:33:41,890
+المسافة اللي بين الشحنتين بيسموها الـelectric
+
+448
+00:33:41,890 --> 00:33:47,050
+dipole moment P الـelectric dipole moment P فبيقول
+
+449
+00:33:47,050 --> 00:33:51,810
+الـP هذه اللي انحطت محل Q في 2A مجرد يعني معلومة
+
+450
+00:33:52,520 --> 00:33:59,340
+Where P بتساوي Q في 2A Q في المسافة اللي بين
+
+451
+00:33:59,340 --> 00:34:02,040
+الشحنتين هو أنا عندي شحنتين مقاديرهم مختلفة ولا
+
+452
+00:34:02,040 --> 00:34:05,420
+واحدة بأخذ مقدار الشحنة بضربها في المسافة اللي
+
+453
+00:34:05,420 --> 00:34:10,260
+بينهم يسمى P وهو ال electric dipole moment is
+
+454
+00:34:10,260 --> 00:34:13,680
+called the electric dipole moment if the direction
+
+455
+00:34:13,680 --> 00:34:15,600
+is taken to be from the positive charge to the
+
+456
+00:34:15,600 --> 00:34:17,800
+negative charge هنا المفروض يكون معكوس مش مهم
+
+457
+00:34:17,800 --> 00:34:25,290
+بنعملها كمان نندي نطلع الآن شباب على شغلة جديدة طبعا
+
+458
+00:34:25,290 --> 00:34:30,510
+بعنوان شباب electric field of a continuous charge
+
+459
+00:34:30,510 --> 00:34:34,910
+distribution خلينا نتذكر مع بعض continuous mass
+
+460
+00:34:34,910 --> 00:34:38,940
+distribution مرة علينا فيزياء ألف continuous mass
+
+461
+00:34:38,940 --> 00:34:42,920
+distribution لما جبنا ال center of mass و لما جبنا
+
+462
+00:34:42,920 --> 00:34:47,860
+ال point of inertia of رد ذاكرينه اتعاملنا مع
+
+463
+00:34:47,860 --> 00:34:50,840
+continuous mass distribution ايش يعني continuous
+
+464
+00:34:50,840 --> 00:34:54,860
+mass distribution حد جلم نيجي على mass
+
+465
+00:34:54,860 --> 00:34:58,880
+distribution بقول الكتل وينها؟ في فرق بين كتلة و
+
+466
+00:34:58,880 --> 00:35:05,800
+كتلة؟ إذا الكتل متوزعة بانتظام وباستمرار على كل
+
+467
+00:35:05,800 --> 00:35:08,920
+الجلام صح ولا لأ تفردك من ال mass distribution هذا
+
+468
+00:35:08,920 --> 00:35:13,270
+كله مشهور كله مشهور لما أقول كله مشهور يعني وين ما
+
+469
+00:35:13,270 --> 00:35:16,610
+تحط أصبعك فيه شحنات ولا لأ إذا الشحنات موزعة
+
+470
+00:35:16,610 --> 00:35:19,790
+continuously مش شحنة هنا وشحنة هنا وشحنة هنا
+
+471
+00:35:19,790 --> 00:35:23,870
+continuous charge distribution فبهذا الكلام بدي
+
+472
+00:35:23,870 --> 00:35:28,450
+أجيب شدة مجاله بقدر أطبق عليه قانون ايه بتساوي KQ
+
+473
+00:35:28,450 --> 00:35:32,570
+على R تربيع لأ لأنه هداك بيقول إلى pointed charge
+
+474
+00:35:32,570 --> 00:35:36,330
+هذا بيسموه continuous charge distribution هذا
+
+475
+00:35:36,330 --> 00:35:41,200
+الباب كله مشهور فيه مجال حوالين؟ فيه مجال طب كيف بدي
+
+476
+00:35:41,200 --> 00:35:45,340
+أحسبه برضه بده شغل قانون كلهم لا ينطبق عليه إذا
+
+477
+00:35:45,340 --> 00:35:50,860
+كيف بدي أتعامل العملية سهلة مشكلتي في هذا الجلد
+
+478
+00:35:50,860 --> 00:35:55,740
+أنه ما فيش عندي قانون ينطبق عليه صح ولا لأ طيب ربنا
+
+479
+00:35:55,740 --> 00:36:00,180
+خلج عننا مجصات كتيرة ومنشير ومنشترات وكل حاجة هذا
+
+480
+00:36:00,180 --> 00:36:02,960
+بدي أجيب مجص وضن أجاز جص فيه لما أصير pointed
+
+481
+00:36:02,960 --> 00:36:07,890
+charge بصح ليه بصحليه؟ لأن الـ Pointed Charge له
+
+482
+00:36:07,890 --> 00:36:12,790
+قانون، هذا ليس له قانون، بلاش، قصه، فهذا كم قطعة
+
+483
+00:36:12,790 --> 00:36:17,470
+أطلع، فخلّيه يطلع له عشرين قطعة، تمام؟ عشرين قطعة،
+
+484
+00:36:17,470 --> 00:36:21,030
+يعني عشرين Pointed Charge، شدة المجال لتوتر شارج
+
+485
+00:36:21,030 --> 00:36:23,570
+الشخص اللي طلعتهم، ولا لا؟ لو جاك مثال، تلاتة
+
+486
+00:36:23,570 --> 00:36:26,550
+Pointed Charge، بتقولي، هو دي مصعب السؤال، اعطونا
+
+487
+00:36:26,550 --> 00:36:31,340
+بس اتنين، بتعرفش تجيب لي تلاتة؟ بتعرف الـG طب لو
+
+488
+00:36:31,340 --> 00:36:35,940
+لعشرة بتعرف الـG بس أطول بيكون الحل صح ولا لأ؟ بدك
+
+489
+00:36:35,940 --> 00:36:38,820
+زمان اديني زمان بطلع له إن شاء الله أنا مليون صحيح
+
+490
+00:36:38,820 --> 00:36:43,080
+ولا لأ؟ إذا العملية أنا كيف بيتعامل معاه؟ بقول أنا
+
+491
+00:36:43,080 --> 00:36:47,480
+هذا ال child distribution بدي أجسمه ل pointy
+
+492
+00:36:47,480 --> 00:36:52,320
+charges طيب صارت اتفقنا عشرين قطعة جيب E لواحدة
+
+493
+00:36:52,320 --> 00:36:54,820
+ولا تانية ولا تالتة و جمع بتجيب شدة في المجال
+
+494
+00:36:54,820 --> 00:36:58,160
+الكلي ولا لأ طبعا مش هجمع لا مليون ولا اتنين مليون
+
+495
+00:36:58,160 --> 00:37:02,600
+في عندي قالية بسموها التكامل integration و
+
+496
+00:37:02,600 --> 00:37:05,920
+integration ال assumption صح ولا لأ إذا المعنى
+
+497
+00:37:05,920 --> 00:37:10,650
+تبقول لي كيف يسوي بيقول تـ evaluate the electric field
+
+498
+00:37:10,650 --> 00:37:13,590
+of such a configuration لهذا الشكل، أي إن كان
+
+499
+00:37:13,590 --> 00:37:17,190
+الشكل اللي عندك، the following of procedures are
+
+500
+00:37:17,190 --> 00:37:20,590
+used، إيش بقيت تسوي؟ اتبعوا الخطوات التالية، أول
+
+501
+00:37:20,590 --> 00:37:29,600
+خطوة بيقول we divide الشكل
+
+502
+00:37:29,600 --> 00:37:34,780
+أو التوزيع into small elements لعناصر صغيرة such
+
+503
+00:37:34,780 --> 00:37:37,920
+that هذا العنصر لازم تكون مجاله بتاعها في جيبه
+
+504
+00:37:37,920 --> 00:37:42,200
+such that the electric field for each element can
+
+505
+00:37:42,200 --> 00:37:45,540
+be calculated easily طبعا الشغل ال default اعملوا
+
+506
+00:37:45,540 --> 00:37:48,960
+pointed charges صح ولا لأ؟ ال point of charge بتعرف
+
+507
+00:37:48,960 --> 00:37:51,580
+تجيب المجال لل point of charge؟ اه فيه قانون ولا
+
+508
+00:37:51,580 --> 00:37:55,540
+ماديش قانون؟ إله قانون إذا أول خطوة بيقولك شكل
+
+509
+00:37:55,540 --> 00:38:00,480
+اللي عندك لمغلبك جسمه لعناصر صغيرة بحيث كل عنصر
+
+510
+00:38:00,480 --> 00:38:06,660
+مجاله تعرف تجيبه حلو أول حاجة عرفته اتنين بيقول لي
+
+511
+00:38:06,660 --> 00:38:12,640
+each element is assumed a charge dq بيقول لي دي في
+
+512
+00:38:12,640 --> 00:38:17,380
+ال calculus بتاعي increment جزء DX شباب في الـ
+
+513
+00:38:17,380 --> 00:38:22,360
+Calculus تعني جزء من ال X صح ولا لأ كل حاجة تابعة
+
+514
+00:38:22,360 --> 00:38:30,340
+لعنصر تسبق بالحرف D increment شحنة العنصر DQ جديش
+
+515
+00:38:30,340 --> 00:38:36,200
+كتلة العنصر كلنا ناخدها كتلة العنصر DM جديش مجاري
+
+516
+00:38:36,200 --> 00:38:42,400
+العنصر DE إذاً كل شيء للعنصر يُسبق بالـD لأن هذا
+
+517
+00:38:42,400 --> 00:38:48,880
+جزء من كل جزء فالـD هو increment حلو نقول لكل عنصر
+
+518
+00:38:48,880 --> 00:38:53,560
+من عناصر جديد شحنته DQ حلو الآن العنصر اللي أنت
+
+519
+00:38:53,560 --> 00:38:57,910
+اخترته مجاله بتاعه في جيبه بعرف أجيب جيبه بيقول لي
+
+520
+00:38:57,910 --> 00:39:03,610
+next we calculate the electric field due to one of
+
+521
+00:39:03,610 --> 00:39:08,390
+these limits بس بدي واحد ما بديش أكثر بس واحد اختار لي
+
+522
+00:39:08,390 --> 00:39:11,370
+واحد و جيب لي مجاله و أنت جولت الأنصار و تقعد تجيب
+
+523
+00:39:11,370 --> 00:39:18,750
+مجاله جيبه جبنا واحد حلو هذا المجال جبته هذا جزء
+
+524
+00:39:18,750 --> 00:39:23,510
+من كل الآن بدل ما تجيب كل العناصر و تجمعهم جلة
+
+525
+00:39:23,510 --> 00:39:31,150
+كامل كامل اتفقنا مجال العصر جديش؟ DE عشان تجيب E
+
+526
+00:39:31,150 --> 00:39:37,090
+لكلية إيش تسوي؟ إيش تكامل ال DE شباب؟ E مش E؟ إذا
+
+527
+00:39:37,090 --> 00:39:40,690
+ما زلت تجيب ال DE كاملها بتجيب ايه اللي بدك اياها؟
+
+528
+00:39:40,690 --> 00:39:47,820
+كامل؟ إذا بيقول له: ثلاثة أو أربعة هذه finally we
+
+529
+00:39:47,820 --> 00:39:51,680
+integrate over the charge distribution to evaluate
+
+530
+00:39:51,680 --> 00:39:54,840
+the total electric field due to the wall charge
+
+531
+00:39:54,840 --> 00:39:58,720
+distribution كامل دي ايه بتطلع معك ايه الكلية و
+
+532
+00:39:58,720 --> 00:40:02,360
+أنت هادي اللي بتسعقله ما فيش أي مشكلة عندك ايه
+
+533
+00:40:02,360 --> 00:40:08,200
+السفصار الشباب كبينه نعم تمه بيقول لي بس أنت بتقول
+
+534
+00:40:08,200 --> 00:40:15,310
+أنت بتكامل التكامل بيجمع scalars بيجمع الـ scalars
+
+535
+00:40:15,310 --> 00:40:19,210
+أنت لما تكامل بيجمع لخمسة و تلاتة تمانية لكن لو
+
+536
+00:40:19,210 --> 00:40:22,430
+واحدة خمسة باتجاه ال I و تلاتة باتجاه ال J بيطلع
+
+537
+00:40:22,430 --> 00:40:25,330
+الكاش يها بيطلع لها بيطلع ليها تمانية لذلك لازم أنت تقوله
+
+538
+00:40:25,330 --> 00:40:30,550
+كيف تكامل بيقول لي remark the integration should be
+
+539
+00:40:30,550 --> 00:40:34,890
+performed for each component of the electric field
+
+540
+00:40:34,890 --> 00:40:40,950
+لازم تكامل المركبات كلها على حدة Why؟ لأن
+
+541
+00:40:40,950 --> 00:40:43,870
+المركبات الصينية لما تكون بس مركبات صينية كلها
+
+542
+00:40:43,870 --> 00:40:46,730
+بنفس الاتجاه ولا لأ؟ لما أقول لك تلاتة سين وخمسة
+
+543
+00:40:46,730 --> 00:40:49,490
+في اتجاه السين، بقدر أجمعهم تمانية ولا لأ؟ إذا
+
+544
+00:40:49,490 --> 00:40:52,430
+تكامل المركبة الصينية على أحدها والصادية على
+
+545
+00:40:52,430 --> 00:40:55,970
+أحدها. ليش؟ لأنه أنا بتعامل مع vectors، ذاكرين
+
+546
+00:40:55,970 --> 00:41:01,870
+زمان لما كنتوا تكاملوا الـHick في توجيهي متنوع
+
+547
+00:41:01,870 --> 00:41:05,870
+تكملوها أو تشبعوها تجيبوا المسافة المساحة من أول
+
+548
+00:41:05,870 --> 00:41:08,610
+حاجة لآخر حاجة لما كنتوا تجيبوا المساحة من أول
+
+549
+00:41:08,610 --> 00:41:12,150
+لآخر ايش تكاملوا تطلعوا الكم Zero صح ولا لأ؟ هذه
+
+550
+00:41:12,150 --> 00:41:18,980
+الرسمة ذاكرينها؟ لو كملتوا من هال لهال لماذا حيطلع لك
+
+551
+00:41:18,980 --> 00:41:22,580
+التكامل؟ Zero. لكن هل المساحة هذه Zero؟ لأ. إيش
+
+552
+00:41:22,580 --> 00:41:25,700
+كنت تسويه؟ كنت تتجسم. مظبوط ولا لأ؟ لأنه برضه
+
+553
+00:41:25,700 --> 00:41:28,780
+المساحات، دير بالك المساحة ما هي vector فزاني
+
+554
+00:41:28,780 --> 00:41:31,200
+بتعامل مع vector وأنت لابدك تقوله التكامل، إيش
+
+555
+00:41:31,200 --> 00:41:34,600
+يجمع لك وهنا نفس القضية، ما تعملش تقوله كامل وأنت مش
+
+556
+00:41:34,600 --> 00:41:38,900
+عارف إيش اللي بتسويه، تحكي، وأنت مش عارف؟ مش
+
+557
+00:41:38,900 --> 00:41:42,940
+مساحة، حاجة من الناس، بحكمي در المربع كنت بتعرفش طب
+
+558
+00:41:42,940 --> 00:41:47,030
+و .. هاه ما فيش هو المساحة أنت ما أخذتش مساحة جاينها
+
+559
+00:41:47,030 --> 00:41:50,790
+vector ولا مش vector؟ طيب أنت ما عرفتش إنه المساحة
+
+560
+00:41:50,790 --> 00:41:56,010
+بتساوي ايه across ال B؟
+
+561
+00:41:56,010 --> 00:42:00,450
+هاي
+
+562
+00:42:00,450 --> 00:42:04,630
+المساحة كيف نجيب المساحة مش هي عبارة عن قاعدة
+
+563
+00:42:04,630 --> 00:42:11,070
+الارتفاع والارتفاع هو ايه صلى الزاوية؟ هذا
+
+564
+00:42:11,070 --> 00:42:15,370
+الارتفاع مش A Sine الزاوية إذا المساحة بيساوي B في
+
+565
+00:42:15,370 --> 00:42:20,610
+A Sine الزاوية وهذه بيساوي A في B في Sine الزاوية
+
+566
+00:42:20,610 --> 00:42:25,470
+واحنا أخذناها كمثال ك vectors من فيزياء ألف إن ال
+
+567
+00:42:25,470 --> 00:42:29,650
+surface or the area is a vector quantity وكان فيها
+
+568
+00:42:29,650 --> 00:42:33,190
+سؤال في الشتر الأول تثبت إن ال area بيساوي A cross
+
+569
+00:42:33,190 --> 00:42:36,490
+ال B ولما أقول cross النتيجة بيكون vector ولا
+
+570
+00:42:36,490 --> 00:42:41,600
+scalar إذا ال area is a vector quantity واتجاهها
+
+571
+00:42:41,600 --> 00:42:47,000
+هنحكي عنها كتير لسه المساحة vector quantity تمى
+
+572
+00:42:47,000 --> 00:42:51,600
+طيب لما أنا جبت ال moment of inertia
+
+601
+00:45:13,140 --> 00:45:17,520
+لي في عندك ورقة من ورقة أي ورقة وشحنتها إذا وين
+
+602
+00:45:17,520 --> 00:45:21,620
+بتكون مزعجة شحنات على سطح ما فيش حاجة ماهو مكتوبة
+
+603
+00:45:21,620 --> 00:45:25,580
+حرفياً if the charge is distributed over a surface
+
+604
+00:45:25,580 --> 00:45:29,300
+we define the surface charge density sigma إذا نفس
+
+605
+00:45:29,300 --> 00:45:35,200
+الرمز إيش تتوقع تكون dQ على dA طبعاً dQ هي الشحنة و
+
+606
+00:45:35,200 --> 00:45:40,940
+dA هي مساحة الجزء اللي مغطيها الشحنة اطلعوا يا
+
+607
+00:45:40,940 --> 00:45:48,020
+شباب لو أحجركم كم وحدة لامدا وحدة لامدا كم؟
+
+608
+00:45:48,020 --> 00:45:56,370
+كلهم على متر تربيع و سيجما؟ كلهم على متر تربيع. إذا الوحدة
+
+609
+00:45:56,370 --> 00:46:01,410
+بتيجي من التعريف لو واحد قال لي الكثافة الكلية
+
+610
+00:46:01,410 --> 00:46:04,970
+كلهم على متر. برفع إصبعي وأقول له دي مساحة ولا حجم
+
+611
+00:46:04,970 --> 00:46:08,370
+ولا طول ولا بكون عارف على طول وطول. إذا الوحدة
+
+612
+00:46:08,370 --> 00:46:12,710
+بتعطيني مفهوم الكمية الفيزيائية حلو انظروا عند دي
+
+613
+00:46:12,710 --> 00:46:16,050
+الحجم If the charge is distributed within a 
+
+614
+00:46:16,050 --> 00:46:20,630
+volume في حجم ما نحن ندرس الـ volume charge density
+
+615
+00:46:20,630 --> 00:46:25,190
+رو اللي هي الرمز اللي عارفينه كله عبارة عن dQ على
+
+616
+00:46:25,190 --> 00:46:30,390
+dV طيب اضربوا درس التكامل إيش بيصير بعينكم دي كيو
+
+617
+00:46:30,390 --> 00:46:36,450
+إيش بيساوي رو دي في مظبوط ولا لأ كامل طرفي
+
+618
+00:46:36,450 --> 00:46:39,770
+المعادلة دي كيو بيساوي رو دي في إيش تكامل دي كيو
+
+619
+00:46:39,770 --> 00:46:44,750
+دي كيو إذا تشتغل الكلية يعني الطرف الثاني كيف بيدا
+
+620
+00:46:44,750 --> 00:46:50,370
+كامل اطلع رو برا دائماً بطلع رو برا؟ لازم تكون
+
+621
+00:46:50,370 --> 00:46:54,790
+ثابتة؟ طب هي دائماً ثابتة؟ طيب هل جتني جلال جلم
+
+622
+00:46:54,790 --> 00:47:00,670
+كمان مرة؟ فلتك من ال charge mass هل لامدا أو رو
+
+623
+00:47:00,670 --> 00:47:04,730
+أو سيجما عليها ثابتة؟ إيش يعني؟ هل الكتل موزع
+
+624
+00:47:04,730 --> 00:47:09,290
+بانتظام عليها؟ أنا في زي الف إذا أذكركم رحت على
+
+625
+00:47:09,290 --> 00:47:15,110
+الباب قلت لكم الشباك هذا الإجازة كثافة الخشب فيه
+
+626
+00:47:15,110 --> 00:47:18,770
+بيساوي كثافة الخشب في المنطقة التحتانية إذا هل 
+
+627
+00:47:18,770 --> 00:47:23,590
+الكثافة واحدة؟ لا إذا الكثافة ما بتكون دائماً واحدة
+
+628
+00:47:23,590 --> 00:47:25,950
+وما زالت ما كانتش واحدة لذا مش دائماً ثابتة وأكثر
+
+629
+00:47:25,950 --> 00:47:31,510
+ما بتكون ثابتة شايفين الورقة؟ الورقة أه لأن الورقة 
+
+630
+00:47:31,510 --> 00:47:37,550
+منتظمة صح ولا لا؟ بقول مادة الورق موزعة بانتظام على 
+
+631
+00:47:37,550 --> 00:47:44,810
+المساحة لكن أديت مثال آخر قلت المصطبة فيها خميلة 
+
+632
+00:47:44,810 --> 00:47:49,310
+وفيها مدخل رفيعة صح ولا لا؟ إذا برضه رو ما ثابت عليها
+
+633
+00:47:49,310 --> 00:47:54,050
+طب وقتش أعرف بقول هو هيقول لك بقول لك أنه لتشارج
+
+634
+00:47:54,050 --> 00:47:59,800
+uniform distributed or notوورد dQ هذا لمش مشكلة، 
+
+635
+00:47:59,800 --> 00:48:04,940
+الوحدات أخذناها if the charge is uniformly
+
+636
+00:48:04,940 --> 00:48:08,900
+distributed إذا كانت ال charge موزعة بانتظام هو
+
+637
+00:48:08,900 --> 00:48:13,950
+يقول لك بانتظام ولا لا؟ a long line over a surface or
+
+638
+00:48:13,950 --> 00:48:16,930
+within a volume وإذا قال لك هذه الكلمة ساعتها the
+
+639
+00:48:16,930 --> 00:48:19,870
+charge densities are constant في هذه الحالة بتكون
+
+640
+00:48:19,870 --> 00:48:23,110
+لامدا وسيجما ورود ثوابت لما يقول لك uniformly
+
+641
+00:48:23,110 --> 00:48:26,970
+distributed مزعجة بانتظار زحكت الورقة تمام أما
+
+642
+00:48:26,970 --> 00:48:31,050
+الباب مش بانتظار كان وضع في مكان مش فيه خشب في
+
+643
+00:48:31,050 --> 00:48:36,070
+هذه الحالة بطلع لامدا أو رو أو سيجما constants
+
+644
+00:48:36,070 --> 00:48:40,910
+إيش بيصير تكامل ال dL و تكامل ال dA وتكامل ال
+
+645
+00:48:40,910 --> 00:48:47,170
+dV V فبيصير عندك Q بيساوي رو في V إذا هذا بيصير in
+
+646
+00:48:47,170 --> 00:48:51,070
+this case the total charge capital Q الـ total
+
+647
+00:48:51,070 --> 00:48:54,350
+charge بيدوها دائماً رمز كبير capital Q احنا اتفقنا
+
+648
+00:48:54,350 --> 00:48:58,350
+أنه رمز الشحنة small Q أو capital Q وأنا هو Q لكن
+
+649
+00:48:58,350 --> 00:49:00,850
+الـ total Q دائماً بيدوكوا الشغل الكبيرة بيعطوها
+
+650
+00:49:00,850 --> 00:49:03,910
+capital Q The total charge of capital Q can be
+
+651
+00:49:03,910 --> 00:49:07,830
+obtained by integrating both sides of the above
+
+652
+00:49:07,830 --> 00:49:11,390
+equations وحصل عندي كالتالي الـ Q الأولانية بيساوي
+
+653
+00:49:11,390 --> 00:49:15,510
+لامدا في L الـ Q التانية بيساوي سيجما في A وQ
+
+654
+00:49:15,510 --> 00:49:19,330
+التالتة بيساوي رو في V طبعاً في سؤال بيقول لك هو
+
+655
+00:49:19,330 --> 00:49:23,210
+هتكامل ال dQ الصغيرة ينفع أحطها capital Q كبيرة؟
+
+656
+00:49:23,210 --> 00:49:28,030
+المفروض يكون الـQ الصغيرة إيش تكامل ال dX؟ بنفع أقول 
+
+657
+00:49:28,030 --> 00:49:31,590
+why؟ لا طب التكامل بيديه Q صغيرة المفروض يكون Q
+
+658
+00:49:31,590 --> 00:49:36,570
+صغيرة لكن لو أنا بعرف أنه التكامل هو الكلي إذا
+
+659
+00:49:36,570 --> 00:49:39,210
+التكامل بيديه Q بدي تديني Q الكلية ولا مش Q
+
+660
+00:49:39,210 --> 00:49:43,070
+الكلية؟ طب وQ الكلية إيش رمزهم بيديني؟ Capital Q،
+
+661
+00:49:43,070 --> 00:49:46,890
+ما فيش مشكلة أنا عارف Capital Q هي Total Q، إذا
+
+662
+00:49:46,890 --> 00:49:51,270
+التكامل بيديه Q هي مش Q هي Total Q أصلاً وTotal
+
+663
+00:49:51,270 --> 00:49:58,170
+Q أنا بدينيها Capital Q تمام طبعاً الـ و إيه
+
+664
+00:49:58,170 --> 00:50:04,110
+المعروفين نبدأ نحل أمثلة كيف نطبق بيقول لي a rod
+
+665
+00:50:04,110 --> 00:50:09,970
+of length L lying along the x-axis is uniformly
+
+666
+00:50:09,970 --> 00:50:14,110
+charged with a total charge capital Q بيقول لي
+
+667
+00:50:14,110 --> 00:50:21,450
+عندك رود سلك طوله L كله مشحون تمام هذا السلك وجاه
+
+668
+00:50:21,450 --> 00:50:25,520
+على ال x-axis عشان ترسموه صح وأنا هأديكم الرسمة كل 
+
+669
+00:50:25,520 --> 00:50:29,180
+الشحنات اللي عليه كابيتال Q Calculate the electric
+
+670
+00:50:29,180 --> 00:50:32,300
+field دي إيش مطلوب شدة المجال الكهربائي عند نقطة P
+
+671
+00:50:32,300 --> 00:50:35,140
+ونقطة P along the axis of the rod اللي عندنا
+
+672
+00:50:35,140 --> 00:50:38,440
+على نص الرسمة وبتبعد مسافة دي from one end as
+
+673
+00:50:38,440 --> 00:50:44,340
+shown in the figure هاي الصين والصد ال rod lying
+
+674
+00:50:44,340 --> 00:50:48,530
+along the x axis هذا هو خطه أزرق هو positive بس
+
+675
+00:50:48,530 --> 00:50:51,430
+خطه أزرق عشان الألوان إذا حتشوف بدي أخد كمان أحمر
+
+676
+00:50:51,430 --> 00:50:55,190
+ما ينفعش أحمر وأحمر فحطيته أزرق هيك يعني هاي الرود
+
+677
+00:50:55,190 --> 00:51:03,090
+جديد طوله شباب هذا معطف تمام مشحون بده شدة المجال
+
+678
+00:51:03,090 --> 00:51:08,560
+عند النقطة هذه الشباب بده شدة المجال هنا عند النقطة
+
+679
+00:51:08,560 --> 00:51:11,320
+P اللي بتبعد مسافة دي عن أحد أطرافه زي ما أنت
+
+680
+00:51:11,320 --> 00:51:14,120
+شايفينه في الرسمة تمام؟ إذا اللي واضح عندي إيش
+
+681
+00:51:14,120 --> 00:51:17,160
+المطلوب أنا عندي؟ بدي شدة المجال الكهربائي عند
+
+682
+00:51:17,160 --> 00:51:20,660
+النقطة ال origin اللي لا جاء من point of charge
+
+683
+00:51:20,660 --> 00:51:23,320
+ولا من continuous charge distribution من
+
+684
+00:51:23,320 --> 00:51:27,340
+continuous charge distribution اللي هو ال rod بقدر
+
+685
+00:51:27,340 --> 00:51:31,400
+أطبق القانون وأقول KQ على R تربيع؟ لو طبقت KQ على 
+
+686
+00:51:31,400 --> 00:51:35,400
+R تربيعي إيش بدي أحط R؟ أحطها D؟ ولا D زائد L؟
+
+687
+00:51:35,400 --> 00:51:38,780
+ولا D زائد نص L؟ ما بقدرش أعملها ما ينفعش هذا القانون
+
+688
+00:51:38,780 --> 00:51:42,320
+لا ينطبق على الـROD بالتالي إيش أسوي؟ اتعلمي التو
+
+689
+00:51:42,320 --> 00:51:44,580
+إيش أسوي مظبوط أو لا؟ بدي أجسم
+
+690
+00:51:47,640 --> 00:51:53,040
+we divide the rod into small elements each of
+
+691
+00:51:53,040 --> 00:52:02,980
+length dx طولها x وطولها d طولها dx أو dl and it's 
+
+692
+00:52:02,980 --> 00:52:06,640
+charge is dq يلا ناخذ هنا عنصر احنا لو جبنا مجص
+
+693
+00:52:06,640 --> 00:52:10,920
+وجصينا هنجيب عنصر من هذه العناصر هذا هو .. هي
+
+694
+00:52:10,920 --> 00:52:13,480
+القطع من هذا القطع صح ولا لا؟ عشان كده أنا حاطيته
+
+695
+00:52:13,480 --> 00:52:16,600
+هنا أحمر يقفل هو الأزرق عشان الأحمر يبين تمام؟
+
+696
+00:52:16,600 --> 00:52:21,350
+يعني هذا الأزرق مكون من كم وحدة حمراء أدت حمرات
+
+697
+00:52:21,350 --> 00:52:26,010
+صح ولا لا؟ أدت عناصر أنا اخترت عنصر واحد هاي
+
+698
+00:52:26,010 --> 00:52:29,350
+عنصر هذا العنصر ممكن تعتبره point of charge ولا
+
+699
+00:52:29,350 --> 00:52:33,950
+لا؟ اه صغير تقدر تجيب شدة مجال ال point of 
+
+700
+00:52:33,950 --> 00:52:38,690
+charge؟ اه عندي قانون إذا أول خطوة بجسم لعناصر و
+
+701
+00:52:38,690 --> 00:52:41,690
+باختار عنصر واحد العنصر اللي واحد بدي اختاره
+
+702
+00:52:41,690 --> 00:52:44,730
+الشباب إن نفسه هيكون عشوائي يعني ما ينفعش احط العنصر
+
+703
+00:52:44,730 --> 00:52:49,510
+في بداية الرد ما ينفعش .. هتخربط ساعتها في المسافات و
+
+704
+00:52:49,510 --> 00:52:52,950
+لا ينفع تاخد العنصر في آخر الرد ولا في النص خده في
+
+705
+00:52:52,950 --> 00:52:59,990
+مكان عشوائي أخدته حلو بعد كده بقول أوجد شدة المجال
+
+706
+00:52:59,990 --> 00:53:05,830
+لهذا العنصر سهل طبعاً
+
+707
+00:53:05,830 --> 00:53:11,510
+المسافات شباب أنا البعد ما أعرفش X حطيته عشان أجيب
+
+708
+00:53:11,510 --> 00:53:18,190
+شدة المجال عنده النقطة P للنقطة الحمراء القانون
+
+709
+00:53:18,190 --> 00:53:23,570
+بيقول KQ على R تربيع بعد المسافة ما بين ال .. ال
+
+710
+00:53:23,570 --> 00:53:26,690
+.. ال charge و ال point ال charge مبينة إن هي
+
+711
+00:53:26,690 --> 00:53:29,490
+الحمراء وال point بعرفها بدي المسافة بينها وبينها
+
+712
+00:53:29,490 --> 00:53:34,550
+بعرفها بعرفها .. فرضتها X متغيرة ما هي من عنصر
+
+713
+00:53:34,550 --> 00:53:38,410
+لعنصر بتتغير ولا لا؟ حاططها X هجيت أناش في الآخر
+
+714
+00:53:38,410 --> 00:53:42,330
+بجيبها بقول أوجد اتجاه المجال صح؟ مش أول خطوة
+
+715
+00:53:42,330 --> 00:53:45,970
+بعملها اتجاه المجال هجيت أنت جلمك رصاصة عند النقطة
+
+716
+00:53:45,970 --> 00:53:48,690
+والشحنة موجبة ببيدك تروح على الشحنة ولا تبعد عنها؟
+
+717
+00:53:49,160 --> 00:53:53,120
+إذا هاي اتجاه المجال بعد ما جيب اتجاه المجال جالك
+
+718
+00:53:53,120 --> 00:53:58,080
+أو جد مقداره أو جد مقداره القانون K absolute value
+
+719
+00:53:58,080 --> 00:54:03,420
+of Q على R تربيع هجيب ال Q إيش بتحط محلها؟ إيش 
+
+720
+00:54:03,420 --> 00:54:09,040
+شحنة ال .. dQ مش هي أنت قاعد بتجيب فقط لعنصر إلك 
+
+721
+00:54:09,040 --> 00:54:12,620
+دعوة في باجر رد؟ أنت إلك دعوة باسم العنصر عنصر إيه
+
+722
+00:54:12,620 --> 00:54:19,100
+شحنته؟ dQ بدل ما تعود خمسة أو سبعة قبل dQ تمام بقول
+
+723
+00:54:19,100 --> 00:54:24,740
+so the electric field اللي مقداره dE ليش دي dE
+
+724
+00:54:24,740 --> 00:54:31,820
+شباب؟ لأنه بس لعنصر بس لعنصر dE due to one of
+
+725
+00:54:31,820 --> 00:54:35,500
+these element إذا هذه dE لواحد بس لعنصر مش لكل 
+
+726
+00:54:35,500 --> 00:54:39,480
+الروف ديرماها الكوب a distance x والمسافة أنا
+
+727
+00:54:39,480 --> 00:54:45,530
+اعتبرتها x from the point is هي قانوني كبديل Q
+
+728
+00:54:45,530 --> 00:54:51,650
+وحطيت dQ على X تربيع في مشكلة؟ إذا هذا المجال مين؟ 
+
+729
+00:54:52,070 --> 00:54:55,590
+لعنصر واحد فبالخطوة التالية إيش بقول لك بقول لك كامل
+
+730
+00:54:55,590 --> 00:54:58,870
+بس قبل ما تكامل أنت باهي ال directions صح ولا لا؟
+
+731
+00:54:58,870 --> 00:55:02,830
+إذا في عندك تحليل تحليل سيني لحال وصادي لحال مظبوط
+
+732
+00:55:02,830 --> 00:55:06,410
+كيف بدي أعرف بقول لك طب أنا كل العناصر اللي لهم نفس
+
+733
+00:55:06,410 --> 00:55:09,310
+الاتجاه هو اللي فيه واحد سيني واحد صادي خلينا نجرب
+
+734
+00:55:09,310 --> 00:55:13,030
+احنا وإياكم أنا اخترت عنصر لو يجي واحد غيري بدي
+
+735
+00:55:13,030 --> 00:55:16,470
+اختاره مش هيختار نفس عنصره صح ولا لا؟ هيختار عنصر
+
+736
+00:55:16,470 --> 00:55:21,270
+لا أبعد أقرب لو أنت بتديكم نص دقيقة وكل واحد يتخيله
+
+737
+00:55:21,270 --> 00:55:26,930
+عنصر مختلف ويجيب لي مجال اتجاهي كيف هيطلع الاتجاه؟
+
+738
+00:55:26,930 --> 00:55:33,530
+في واحد يجي على باله عنصر اتجاه السهم هيكون معكوس
+
+739
+00:55:33,530 --> 00:55:42,010
+أو طالع صادي في مجال إذا احكي لا
+
+740
+00:55:42,010 --> 00:55:48,030
+هو line بس هو دخله عشان يبين ما لهوش ثمك بالظبط هو 
+
+741
+00:55:48,030 --> 00:55:54,550
+line اعتبره line في أي عنصر هيكون مش باتجاه
+
+742
+00:55:54,550 --> 00:55:58,990
+negative x axis فش .. إذا أنا في الآخر أنا بجمع كل
+
+743
+00:55:58,990 --> 00:56:02,090
+هالمجالات مش أنا في الآخر بجمع كل هالمجالات كل
+
+744
+00:56:02,090 --> 00:56:06,800
+المجالات بنفس الاتجاه في مشكلة كامل لا طب خلينا
+
+745
+00:56:06,800 --> 00:56:10,340
+نجرب عشان بس أنا ديتكم نص دقيقة ومفروض تخيلتوها
+
+746
+00:56:10,340 --> 00:56:14,400
+خلينا نقول note that each element أنا اخترت
+
+747
+00:56:14,400 --> 00:56:18,320
+element لكن كل عنصر produces a field in the
+
+748
+00:56:18,320 --> 00:56:22,760
+negative x axis كل العناصر بتدي نفس الاتجاه and so
+
+749
+00:56:22,760 --> 00:56:25,540
+we can integrate simply خلينا نجرب العناصر لو أنا 
+
+750
+00:56:25,540 --> 00:56:28,100
+اخترت العناصر هذا تلعب على الرسم بالظبط لو اخترت
+
+751
+00:56:28,100 --> 00:56:34,120
+أنا العنصر هاي العنصر
+
+752
+00:56:34,120 --> 00:56:37,830
+كيف اتجاهه؟ نفس الشيء ولا لا؟ أي عنصر؟ طب كمان 
+
+753
+00:56:37,830 --> 00:56:40,990
+عنصر؟
+
+754
+00:56:40,990 --> 00:56:45,210
+برضه نفس العملية؟ أنا اخترت 3 عنصر طبعاً أنتم لو
+
+755
+00:56:45,210 --> 00:56:48,570
+اختارتم 100 عنصر بس دوركم عناصر الصح مش واحد يقول لي
+
+756
+00:56:48,570 --> 00:56:53,910
+بدي أجيب عنصر هنا أجيب هنا من فحين في عنصر هو؟ هذا
+
+757
+00:56:53,910 --> 00:56:57,490
+ليس رد .. أنا شو المشهور عند الرد؟ منع العناصر اللي
+
+758
+00:56:57,490 --> 00:57:00,470
+بيكون منها لها؟ ما فيش عناصر اللي بيقول هنا صارت هيك
+
+759
+00:57:00,470 --> 00:57:04,210
+وتعالوا نحلل؟ لا العناصر اللي بيكون جاي من وين؟ من
+
+760
+00:57:04,210 --> 00:57:08,990
+الـ rod تمام أي عنصر صح هديك مجال باتجاه ال negative
+
+761
+00:57:08,990 --> 00:57:12,610
+x axis إذا أنت قاعد بتجيب شغلات scalars وكأنها
+
+762
+00:57:12,610 --> 00:57:16,930
+كلها خمسة وثلاثة وأربعة واتنين كلهم نقص I نقص I
+
+763
+00:57:16,930 --> 00:57:20,030
+نقص I أشبههم عادي كامل ما فيش مشكلة إذا نستطيع
+
+764
+00:57:20,030 --> 00:57:21,750
+نحفزه كامل
+
+765
+00:57:25,820 --> 00:57:31,320
+طلعت K ساكروهم هالجوالات طلعت K برا عارفين ليش
+
+766
+00:57:31,320 --> 00:57:35,220
+بتطلع كده دي Q على X تربيع واحد يقول يا وردي مش
+
+767
+00:57:35,220 --> 00:57:40,680
+هالو أخذناه في توجيهي نقص واحد على X ينفع لا لأن
+
+768
+00:57:40,680 --> 00:57:46,900
+دي Q هي تحت X إذا إيش بدي أسوي؟ بدي علاقة بين Q و
+
+769
+00:57:46,900 --> 00:57:50,940
+X عشان كده أديت لكم ال charge instancesلـ charge
+
+770
+00:57:50,940 --> 00:57:57,420
+densities هي اللي بتربط لتشارجات مع الأبعاد الأبعاد
+
+771
+00:57:57,420 --> 00:58:
+
+801
+01:00:30,450 --> 01:00:35,130
+تربيعها تكاملها شباب سالب واحد على x هذه سهلة تمام
+
+802
+01:00:35,130 --> 01:00:36,170
+طلعتها
+
+803
+01:00:39,620 --> 01:00:43,920
+سالب واحد على x عوض مش بنعوض في الفوق بعدين سالب
+
+804
+01:00:43,920 --> 01:00:50,000
+اللي تحت عوضنا صار واحد على L زي ال D ناقص واحد
+
+805
+01:00:50,000 --> 01:00:55,780
+على D جمع كسور اعتيادية بقدر أطلعها طلعت هيك معايا
+
+806
+01:00:57,000 --> 01:01:01,980
+D و L زي ال D و Lambda في L هذه شباب طبعا لما آتي
+
+807
+01:01:01,980 --> 01:01:05,460
+أطلعها هذه L زي ال D وهذه D وبالتالي لما آتي
+
+808
+01:01:05,460 --> 01:01:08,260
+أجمعهم L زي ال D ناقص D بتروح ال D مع ال D بتصير
+
+809
+01:01:08,260 --> 01:01:12,860
+عندك L هذه Lambda في L طب Lambda في L Lambda في
+
+810
+01:01:12,860 --> 01:01:17,160
+طول و طول كله بتديني الشحنة الكلية ولا لأ؟ إذا أنا 
+
+811
+01:01:17,160 --> 01:01:18,820
+بتوقع أنه
+
+812
+01:01:21,210 --> 01:01:28,390
+لمدة L بتساوي Q طب عن طريق الجواب خلاص هي جواب KQ
+
+813
+01:01:28,390 --> 01:01:31,890
+على D زاد L شايفين النقطة هذيك اللي احنا بدنا نجيب
+
+814
+01:01:31,890 --> 01:01:38,910
+عندها اللي بتبعد مسافة D لو هذه النقطة وصلناها
+
+815
+01:01:38,910 --> 01:01:44,230
+لعند المجلس التشريعي النقطة كيف يصير الرد
+
+816
+01:01:44,230 --> 01:01:46,750
+بالنسبة لكم؟ لو أنت عند المجلس التشريعي و بدك تشوف
+
+817
+01:01:46,750 --> 01:01:51,380
+هذه الرد كيف تشوفه؟ المفروض تشوفه نقطة صح ولا لأ؟
+
+818
+01:01:51,380 --> 01:01:53,840
+طب إذا أنا بدي أشوفه نقطة المفروض قانون النقطة
+
+819
+01:01:53,840 --> 01:01:58,960
+ينطبق عليه هيك المنطقة إذا صار نقطة طب النقطة اللي
+
+820
+01:01:58,960 --> 01:02:02,080
+لها قانون اللي لها ليش قانون؟ طب خليني أجرب بصرف
+
+821
+01:02:02,080 --> 01:02:07,460
+معانا ولا لأ؟ لما أنا أبعد عن الرد بصير نقطة في
+
+822
+01:02:07,460 --> 01:02:11,990
+هذه الحالة دي إيش بيصير مقارنتنا بـ L؟ أكبر كتير،
+
+823
+01:02:11,990 --> 01:02:16,390
+مظبوط ولا لأ؟ لما أنا أبعد عن الرد، يعني دي صارت
+
+824
+01:02:16,390 --> 01:02:23,700
+كبيرة والرد صغير طيب انظروا يا شباب هنا لو كانت D
+
+825
+01:02:23,700 --> 01:02:27,720
+كبيرة إيش صارت في ال L؟ L صارت دينار و D مليون
+
+826
+01:02:27,720 --> 01:02:33,440
+دينار راحت ال L إيش بصير في تحت D و جنبها Gmand D؟
+
+827
+01:02:33,440 --> 01:02:38,920
+إيش صارت؟ D تربيع صار القانون KQ على D تربيع يعني
+
+828
+01:02:38,920 --> 01:02:44,550
+على R تربيع هذا قانون النقطة فهو صح إذا صح زي ما
+
+829
+01:02:44,550 --> 01:02:48,730
+الواقع بيقول لما تبقى بصير نقطة لازم لما أطبق هذا
+
+830
+01:02:48,730 --> 01:02:54,870
+المبدأ قانون النقطة يرجع وهيرجع صحيح ولا لأ؟ ما فيش
+
+831
+01:02:54,870 --> 01:02:57,830
+أي مشكلة ابني أعملها أنا عاملها ولا مش عاملها شوف
+
+832
+01:02:57,830 --> 01:03:04,570
+آه مش هذا أنا عاملها علشان ما .. now
+
+833
+01:03:07,290 --> 01:03:13,170
+FB is far away راحت عن مجلس الشريعي هناك from the
+
+834
+01:03:13,170 --> 01:03:17,090
+road يعني دي أكثر كتير من الهي معناه تبعيدة then
+
+835
+01:03:17,090 --> 01:03:21,130
+we have ايه زي ال D صارت دي صح ولا المليون والدنار
+
+836
+01:03:21,130 --> 01:03:24,530
+راح الدنار وظل المليون اللي هي ال D صار القانون
+
+837
+01:03:24,530 --> 01:03:30,550
+KQ على D تربيع that is we recover بنعيد the result
+
+838
+01:03:30,550 --> 01:03:34,290
+of the pointed charge زي ما المفروض أتوقع إذا we
+
+839
+01:03:34,290 --> 01:03:38,430
+recover the point the result of the pointed charge
+
+840
+01:03:38,430 --> 01:03:41,670
+as expected وهذا اللازم يكون وإلا يكون جوابي غلط
+
+841
+01:03:41,670 --> 01:03:47,250
+أو في عدم منطقية في الكلام تمام شباب احكي ليش قولي
+
+842
+01:03:47,250 --> 01:03:54,150
+أنا عايش ليش قولي ايه تمام شباب ما زال في charge
+
+843
+01:03:54,150 --> 01:04:00,040
+distribution بدي أجسم لعناصر أهم حاجة العنصر إذا
+
+844
+01:04:00,040 --> 01:04:02,580
+عرفت تجيبه point of charge يعطيك العافية point of
+
+845
+01:04:02,580 --> 01:04:05,720
+charge له قانون بتكاشي إياه point of charge بدي
+
+846
+01:04:05,720 --> 01:04:09,180
+يكون العنصر بتاعه في مجاله هذا الأصل بعد كده جيب
+
+847
+01:04:09,180 --> 01:04:14,100
+مجال لأحد العناصر بعد كده كامل وانت بتتعامل مع
+
+848
+01:04:14,100 --> 01:04:17,960
+vectors مش مع scalars تمام واضح؟ لما كنا نتعامل مع
+
+849
+01:04:17,960 --> 01:04:19,660
+ال moment of inertia فيزيائي في ال moment of
+
+850
+01:04:19,660 --> 01:04:23,440
+inertia كانت scalar وما كناش نواجه هالمشكلة تمام
+
+851
+01:04:33,230 --> 01:04:39,810
+أحكي ممكن تتعامل معه عبارة عن قطعتين طبعا في
+
+852
+01:04:39,810 --> 01:04:43,210
+الأمثلة كثير هناخدها طبعا شباب هذا الموضوع إذا
+
+853
+01:04:43,210 --> 01:04:46,410
+الشكل شوية عفش ماجداش يتعامل معه لأن مش سهلة
+
+854
+01:04:46,410 --> 01:04:50,550
+وبالتالي الأمثلة هتكون أمثلة معروفة و common لأنه
+
+855
+01:04:50,550 --> 01:04:55,780
+إذا المثال اختلف الإجابة بتتغير جذريًا، انظروا أنت
+
+856
+01:04:55,780 --> 01:04:59,320
+النقطة اللي أنا حطيتها، لو النقطة اختلفت، الإجابة
+
+857
+01:04:59,320 --> 01:05:03,690
+بتصعب. بتصعد بيصير في عندي directions مختلف
+
+858
+01:05:03,690 --> 01:05:07,090
+وبالتالي هانواني في بعض الشغلات مطلوبة وفي بعض
+
+859
+01:05:07,090 --> 01:05:09,870
+الشغلات مش مطلوبة يعني في شغلات سهلة تتعامل معها
+
+860
+01:05:09,870 --> 01:05:13,110
+وفي أسئلة في الكتاب على هذا الموضوع أما أنا بهمني
+
+861
+01:05:13,110 --> 01:05:17,970
+أني أجسم العناصر والعنصر جاي من الكل جزء من الكل
+
+862
+01:05:17,970 --> 01:05:22,310
+واحنا زمان كنا نحكي في فيزيا ألف أنه مستحيل يكون
+
+863
+01:05:22,310 --> 01:05:26,210
+عندك كوم بطيخ أو كوم بردقان تحط إيدك تطلع تفاحة
+
+864
+01:05:26,510 --> 01:05:30,590
+مفكر كوم بردقان صح ولا لأ؟ لأنه لازم يكون العنصر
+
+865
+01:05:30,590 --> 01:05:37,210
+من جنس الكل أنت عندك رد بدي يكون العنصر في الرد مش
+
+866
+01:05:37,210 --> 01:05:40,650
+يجيبليها في مكان ثاني ولا تقتنعليها لأ من الكوم
+
+867
+01:05:40,650 --> 01:05:43,570
+يجيبليها من الكوم نفسه وبالتالي العناصر بتكون
+
+868
+01:05:43,570 --> 01:05:47,910
+معروفة مين بديه يسأل أي سؤال تمام؟ طبعا احنا لسه
+
+869
+01:05:47,910 --> 01:05:50,230
+إن شاء الله يوم الثلاثاء زي ما احنا مخططين نخلص ال
+
+870
+01:05:50,230 --> 01:05:53,770
+chapter عشان نعمل test بسيط في آخر محاضرة على ال
+
+871
+01:05:53,770 --> 01:05:58,540
+quiz إن شاء الله آه المفروض أنه يوم الثلاثاء أخلص ال
+
+872
+01:05:58,540 --> 01:06:02,380
+chapter وبالتالي بيفتح ال quiz المفروض بدي أفتح
+
+873
+01:06:02,380 --> 01:06:05,080
+يوم الأربعاء في الليل مخطط إذا خلصت يوم الثلاثاء
+
+874
+01:06:05,080 --> 01:06:07,780
+وهذا المفروض أن أخلص ساعتها بيفتح يوم الأربعاء في
+
+875
+01:06:07,780 --> 01:06:11,500
+الليل عشان يكون يوم الأربعاء أنت عندك محاضرات تاخد
+
+876
+01:06:11,500 --> 01:06:15,960
+free ويوم الأربعاء في الليل الساعة 12 بيسكر عادي
+
+877
+01:06:15,960 --> 01:06:18,960
+بيشوف أنا وياك وقت إيش بيسكر يا السبت بس خليه يسكر
+
+878
+01:06:18,960 --> 01:06:23,000
+السبت مشي الصبح آخر نهار عشان تكون خميس طول النهار
+
+879
+01:06:23,000 --> 01:06:26,120
+أنت في دارك وجبعة في دارك واللي مشي في دارك يوم
+
+880
+01:06:26,120 --> 01:06:28,700
+السبت تيجي على الجامعة إذا صار عنده مشكلة كان هبقى
+
+881
+01:06:28,700 --> 01:06:32,640
+قاطعة إن اتخرب زي امبارح وأول امبارح لأ امبارح و
+
+882
+01:06:32,640 --> 01:06:37,380
+أول امبارح آه إنه تيجي دائما أنا بخلي يوم عمل يكون
+
+883
+01:06:37,380 --> 01:06:42,460
+جوا الجامعة عشان لو صار طارق أول تجي تشوفني و
+
+884
+01:06:42,460 --> 01:06:46,580
+بعدين يكون متاح عندك computers جوا الجامعة لأنه مش
+
+885
+01:06:46,580 --> 01:06:48,500
+مضطر كل واحد يكون عنده net في داره 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a721f3ecb2c06feccee236e86c2ab6071ef8017f
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ_postprocess.srt
@@ -0,0 +1,3540 @@
+1
+00:00:10,140 --> 00:00:13,880
+بنبدأ بسم الله الرحمن الرحيم ونستأنف المحاضرة
+
+2
+00:00:13,880 --> 00:00:20,020
+الماضية بدينا بتعريف المجال الكهربائي the electric
+
+3
+00:00:20,020 --> 00:00:25,820
+field واتفقنا على ان for every point in charge or
+
+4
+00:00:25,820 --> 00:00:31,120
+for every chargeWe have its own electric field الـ
+
+5
+00:00:31,120 --> 00:00:34,780
+electric field عرفناه على انه if the electric
+
+6
+00:00:34,780 --> 00:00:40,200
+force exerted on a positive small tested charge
+
+7
+00:00:40,200 --> 00:00:44,460
+divided by the magnitude of this tested charge
+
+8
+00:00:44,460 --> 00:00:49,780
+بمعنى الميال الكهربائي عُرف بدلالة القوة
+
+9
+00:00:49,780 --> 00:00:55,580
+الكهربائية التي تؤثر على شحنةvery small and
+
+10
+00:00:55,580 --> 00:01:00,700
+positive وسموها test charge وبالتالي صار فيه
+
+11
+00:01:00,700 --> 00:01:06,640
+إمكانية ان يشتق قانون لهذا المجال الكهربائي اطفئ
+
+12
+00:01:06,640 --> 00:01:11,180
+هدول بنفع نطفئ هي او بنفع اطفئ اطفئ اتفق الله تمام
+
+13
+00:01:11,180 --> 00:01:19,640
+خلاص اللي عندك بيكفيك طب
+
+14
+00:01:19,640 --> 00:01:25,340
+خلاصتمام واتفقنا ان شدة المجال الكهربائي ككمية
+
+15
+00:01:25,340 --> 00:01:31,100
+فيزيائية جديدة هو vector quantity رمزها capital E
+
+16
+00:01:31,100 --> 00:01:37,400
+تمام هذا الكلام عرفنا وقلنا E equal F over Q
+
+17
+00:01:37,400 --> 00:01:41,020
+naught و Q naught هي test charge من هذا التعريف
+
+18
+00:01:41,020 --> 00:01:47,500
+الأولي عرفنا ان E has the SI unit of Newton على
+
+19
+00:01:48,100 --> 00:01:52,480
+قولو نيوتين pair قولو هذا اللي عرفنا من الأول
+
+20
+00:01:52,480 --> 00:01:57,440
+واتفقنا على ان q not should be small enough to
+
+21
+00:01:57,440 --> 00:02:01,500
+ensure that the electric field is not affected by
+
+22
+00:02:01,500 --> 00:02:06,080
+the presence of the test charge تمام و ال
+
+23
+00:02:06,080 --> 00:02:09,120
+direction اتفقنا عليه و هنيجي عليه هذا ال unit كل
+
+24
+00:02:09,120 --> 00:02:13,580
+كلام احنا أخدنا وبالتالي
+
+25
+00:02:13,580 --> 00:02:21,130
+اي charge محطوطة في نقطةواتأثرت بقوة نقول لها
+
+26
+00:02:21,130 --> 00:02:25,490
+اتأثرت نتيجة وجودها في مجال الكهربائي وبالتالي
+
+27
+00:02:25,490 --> 00:02:31,070
+القانون تبعه بيقول ان F بتساوي Q في شدة المجال
+
+28
+00:02:31,070 --> 00:02:36,530
+الكهربائي صار ان القوة الكهربائية على أي شحنة مانت
+
+29
+00:02:36,530 --> 00:02:40,830
+عليه في المجال بيساوي مقدار الشحنة في المجال عند
+
+30
+00:02:40,830 --> 00:02:48,260
+مكان هذه الشحنة وهذا عرفناه حنجيو بدنا نشتق قانون
+
+31
+00:02:48,260 --> 00:02:52,760
+عشان نجيب the electric field due to a pointed
+
+32
+00:02:52,760 --> 00:02:57,460
+charge عندى شحنة فاتفقنا ان انا عندى شحنة Q هذه
+
+33
+00:02:57,460 --> 00:03:01,820
+الشحنة Q من التعريف و من المنطق بيقول ان حواليها
+
+34
+00:03:01,820 --> 00:03:07,630
+في مجال كهربائي هذه المجال الكهربائيبينقص او بيزيد
+
+35
+00:03:07,630 --> 00:03:12,970
+تبعا لعدة عوامل مقدار الشحنة وبعد النقطة عن الشحنة
+
+36
+00:03:12,970 --> 00:03:17,070
+صحيح ولا لأ بعد النقطة عن الشحنة باتوقع ان كل ما
+
+37
+00:03:17,070 --> 00:03:21,410
+زادت الشحنة the electric field will increase and
+
+38
+00:03:21,410 --> 00:03:25,310
+as the point is away from the charge the electric
+
+39
+00:03:25,310 --> 00:03:31,530
+field should decrease تمامالان هذه الشحنة وهذا هو
+
+40
+00:03:31,530 --> 00:03:35,790
+المجال المتوقعه مطلوب من إيجاد شدة المجال
+
+41
+00:03:35,790 --> 00:03:40,590
+الكهربائي عند النقطة P النقطة P هذه خضرة بتبعد
+
+42
+00:03:40,590 --> 00:03:45,890
+مسافة R عن الشحنة قلنا من التعريف بقول شدة المجال
+
+43
+00:03:45,890 --> 00:03:50,630
+بتساوى القوة الكهربائية اللي بتأثر على small
+
+44
+00:03:50,630 --> 00:03:57,040
+positive tested charge اذا انا بلزمنيأفترض small
+
+45
+00:03:57,040 --> 00:04:02,220
+positive test charge عند النقطة P فلما أجيب أحطها
+
+46
+00:04:02,220 --> 00:04:06,280
+to do so we assume the existence assume معناته هذه
+
+47
+00:04:06,280 --> 00:04:10,160
+فرضية ال Q note أو test charge مش موجودة أنا
+
+48
+00:04:10,160 --> 00:04:15,400
+فرضتهاthe existence of a test charge Q0 at point P
+
+49
+00:04:15,400 --> 00:04:19,980
+وهي حصلت في عندي شحنة خامرة test charge ومقدارها
+
+50
+00:04:19,980 --> 00:04:25,380
+Q0 بعد ما افترضت بقولي اودي القوة التي تؤثر على Q0
+
+51
+00:04:25,380 --> 00:04:29,080
+عندي صار شحنتين شحنة أصلية موجودة أولا وشحنة انا
+
+52
+00:04:29,080 --> 00:04:32,460
+افترضتها مطلوب مني إيجاد القوة اللي على Q0
+
+53
+00:04:32,460 --> 00:04:38,810
+باستخدام قانونقانون كلوم قانون كلوم هو القانون
+
+54
+00:04:38,810 --> 00:04:42,930
+اللي بيجيب القوة بين اي شحنتين طبعا الان الشحنة
+
+55
+00:04:42,930 --> 00:04:46,850
+الأصلية positive و الشحنة تست شارج positive القوة
+
+56
+00:04:46,850 --> 00:04:50,910
+اللي بينهم ايش هتكون تنافرية تنافرية اذا معناته
+
+57
+00:04:50,910 --> 00:04:53,750
+هيك هيكون اتجاه السهم الأخضر اللي انتوا شايفينه
+
+58
+00:04:53,750 --> 00:04:58,970
+هذا اتجاه القوة هيها هتكون E E نفسها from columns
+
+59
+00:04:58,970 --> 00:05:07,740
+lawThe force upon the tested charge is FKQ1
+
+60
+00:05:07,740 --> 00:05:20,080
+Q2 Q0 over R2 R unit vector بعد
+
+61
+00:05:20,080 --> 00:05:26,720
+ما جبت E F بقدر أجيب E E equal F over Q0أنا كيو
+
+62
+00:05:26,720 --> 00:05:30,340
+نوت اللي هنا بدأ أقسم عليها بتروح فبصير عندي E
+
+63
+00:05:30,340 --> 00:05:34,840
+بتسوي KQ على R تربيع وهذا R unit vector واتفقنا
+
+64
+00:05:34,840 --> 00:05:38,680
+عشان يديني ال direction هاي قانون الآن بعد ما طلعت
+
+65
+00:05:38,680 --> 00:05:41,460
+القانون كيو نوت مش هتنزلني شباب ولا حلا استخدامها
+
+66
+00:05:41,460 --> 00:05:44,820
+في الحل أنا شغال في عندي قانون خلاص كيو نوت قدت
+
+67
+00:05:44,820 --> 00:05:50,230
+مهمتها اشتققلي قانون حلوشكله بكتير بشبه شكل كولومز
+
+68
+00:05:50,230 --> 00:05:55,550
+لو اصلا كولومز لو نحن لدينا Q1 و Q2 E أكم Q فيه
+
+69
+00:05:55,550 --> 00:06:00,650
+واحدة لأن E لكل واحدة فيه E كل شحنة E لكن ال F
+
+70
+00:06:00,650 --> 00:06:04,450
+ممكن تكون شحنة لحالها عليها F بتاعة two forces two
+
+71
+00:06:04,450 --> 00:06:09,530
+charges وبالتالي هذه هي القانون الجديد تبعنا اللي
+
+72
+00:06:09,530 --> 00:06:14,210
+هو E بتسوي KQ على R تربيع وهذا مجال point of
+
+73
+00:06:14,210 --> 00:06:17,460
+chargeإذا لا ينطبق إلا على ال point of charge لما
+
+74
+00:06:17,460 --> 00:06:20,040
+يكون عندي كرة مشحونة هذا القانون ماقدرش يطبقه لما
+
+75
+00:06:20,040 --> 00:06:23,840
+يقول عندي الباب هذا كله مشحون في مجال حواليك، كيف
+
+76
+00:06:23,840 --> 00:06:26,920
+بدي أحسبه؟ مش بهذا القانون، بدي شغل تانية لأن هذا
+
+77
+00:06:26,920 --> 00:06:31,180
+بس لل point of charges تمام يا شباب؟ تمام طبعا the
+
+78
+00:06:31,180 --> 00:06:34,480
+unit vector directed from Q to the point P الصهم
+
+79
+00:06:34,480 --> 00:06:37,820
+الأخضر اللي تو كان كان من الشحن و رايح على النقطة
+
+80
+00:06:37,820 --> 00:06:41,860
+P يعني لو طلعت عليها هي الأخضر
+
+81
+00:06:42,770 --> 00:06:48,870
+لو جلبت Q الأصلية لـ negative هينقلب السهم الأخضر
+
+82
+00:06:48,870 --> 00:06:52,870
+و ينعكس اتجاهه صح ولا لأ بقول it is clear that if
+
+83
+00:06:52,870 --> 00:06:55,330
+the charge Q is negative it is .. it is .. ال
+
+84
+00:06:55,330 --> 00:06:58,050
+charge ماليش دعوة فيها دايما positive اتفقنا انا
+
+85
+00:06:58,050 --> 00:07:03,030
+اللي مقدر اتحكر فيه هو Q بقول if Q is negative the
+
+86
+00:07:03,030 --> 00:07:06,550
+direction of E will be reverse يعني لو هذه صارت
+
+87
+00:07:06,550 --> 00:07:11,130
+زرقة بيصير تجاذبية و بيصير الخط الأخضر صار تجاذبي
+
+88
+00:07:11,130 --> 00:07:17,430
+أو انعكسو من هنا افهمت انه لما كان positive كان ال
+
+89
+00:07:17,430 --> 00:07:21,010
+direction outward from that charge و لما كانت Q
+
+90
+00:07:21,010 --> 00:07:25,050
+نيجاتيب كان inward from that charge فبقولي if Q is
+
+91
+00:07:25,050 --> 00:07:28,370
+positive the direction of E is outward from that
+
+92
+00:07:28,370 --> 00:07:32,860
+charge و هنشرحها و هنعمل حلقة مثلها هنطبقهاو if q
+
+93
+00:07:32,860 --> 00:07:38,540
+is negative the direction of E زي ما هي موجودة is
+
+94
+00:07:38,540 --> 00:07:41,820
+inward to that charge رايح على ال charge اذا انا
+
+95
+00:07:41,820 --> 00:07:45,480
+ببدأ من النقطة و برتطلع في اتجاه مجالي و انا اروح
+
+96
+00:07:45,480 --> 00:07:49,170
+اطلع من الشحنة و اروح الشحنةبطلع من الشحنة إذا
+
+97
+00:07:49,170 --> 00:07:52,310
+كانت الشحنة positive و بروح عن الشحنة إذا كانت
+
+98
+00:07:52,310 --> 00:07:57,450
+الشحنة negative إيه بيكون حددت اتجاه المجال اتحدد
+
+99
+00:07:57,450 --> 00:08:00,710
+اتجاه المجال إيش بيبقى عندنا الكمية الفيزاقية ال
+
+100
+00:08:00,710 --> 00:08:03,730
+vector بدي magnitude صح ولا لأ لإن مضايركش نخلصت
+
+101
+00:08:03,730 --> 00:08:07,110
+منه نحط ع الراسنا ال magnitude بدي أحسبه هذا
+
+102
+00:08:07,110 --> 00:08:10,210
+القانون مابدينيش magnitude بدي أخليه يديني
+
+103
+00:08:10,210 --> 00:08:12,890
+magnitude أديه مليون ال vectors و ال vectors صح
+
+104
+00:08:12,890 --> 00:08:16,250
+ولا لأعشان يدّيني magnitude بدي أجيبني unit vector
+
+105
+00:08:16,250 --> 00:08:19,730
+وهذا يجيبني magnitude معناته q ممنوع تكون سلبة ده
+
+106
+00:08:19,730 --> 00:08:24,110
+تديني ال absolute value صح ولا لأ؟ اذا بيقوللي the
+
+107
+00:08:24,110 --> 00:08:28,230
+electric field at a point to a group جمع هذا
+
+108
+00:08:28,230 --> 00:08:32,570
+أخدناه لما يكون في عندي أكتر من مجال بدي أجمعهمThe
+
+109
+00:08:32,570 --> 00:08:37,690
+magnitude of the electric field is obtained as K
+
+110
+00:08:37,690 --> 00:08:42,330
+absolute value of Q على R² إذا لما أجيب ال
+
+111
+00:08:42,330 --> 00:08:46,430
+magnitude Q لازم أخدي ال absolute value لها و
+
+112
+00:08:46,430 --> 00:08:49,910
+إشارتها وين راح؟ هو الحد اللي اتجاهها أصلا خلاص
+
+113
+00:08:49,910 --> 00:08:53,590
+الحد اللي اتجاهها الإشارة مالهاش دعوة عشان أجيب ال
+
+114
+00:08:53,590 --> 00:08:59,440
+magnitude خلينا نبدأ الآن نحل أمثلةطبعا كيف اللي
+
+115
+00:08:59,440 --> 00:09:03,120
+مثلا بيجيبها مثلة شائعة ومتكررة في الأسئلة وفي أصل
+
+116
+00:09:03,120 --> 00:09:07,100
+اتنين امتحانات بيقولي two pointed charges of seven
+
+117
+00:09:07,100 --> 00:09:11,460
+microcolom and minus five microcolom وبالتالي
+
+118
+00:09:11,460 --> 00:09:15,260
+مقدار الشحن ونوح هيعطى اليك بين واحدة positive
+
+119
+00:09:15,260 --> 00:09:18,360
+اللي هي السابعة والتانية negative اللي هي ال five
+
+120
+00:09:18,360 --> 00:09:21,540
+are located and shown in the figure وال figure
+
+121
+00:09:21,540 --> 00:09:25,870
+مكمل لمعطيات السؤالحنديكم الفيجارة find the
+
+122
+00:09:25,870 --> 00:09:29,290
+resultant electric field at point P والـ point P
+
+123
+00:09:29,290 --> 00:09:33,130
+بتكون معروفة محددة بالرسمة وبالتالي دايما لما
+
+124
+00:09:33,130 --> 00:09:37,350
+يقولك find the electric field he should specify
+
+125
+00:09:37,350 --> 00:09:41,270
+where لازم يقولك وين بالظبط ماينفعش يقولك find the
+
+126
+00:09:41,270 --> 00:09:44,810
+electric field و فلتك لأن المجال بيختلف من نقطة و
+
+127
+00:09:44,810 --> 00:09:47,950
+لا نقطة ولا لأ اذا لازم يقولك وين انا بالزمن
+
+128
+00:09:47,950 --> 00:09:52,740
+يحددلي وين بده المجال الكهربائي الرسمة ده هيعندى
+
+129
+00:09:52,740 --> 00:09:55,040
+الشحن ال positive اللى هى الحمرة و الشحن ال
+
+130
+00:09:55,040 --> 00:09:58,400
+negative اللى هى الزرقه و النقطة P مبينه صح ولا لأ
+
+131
+00:09:58,400 --> 00:10:03,380
+تمام بضلى بدي انا ابعد بقولى هدى Q1 و هدى Q2 و هدى
+
+132
+00:10:03,380 --> 00:10:07,840
+0.3 و هدى 0.4 متر اذا خلاص كل معطلات السؤالين عرفت
+
+133
+00:10:07,840 --> 00:10:11,200
+اضل ال تالت بقدر اجيبه من في the horse صح ولا لأ
+
+134
+00:10:11,200 --> 00:10:16,620
+خلاص ايش بدي اسويه الان ال point P عنده النقطة P
+
+135
+00:10:16,620 --> 00:10:22,370
+أكم مجال فيه شبابمن الـQ1 في عندي E1 ومن الـQ2 في
+
+136
+00:10:22,370 --> 00:10:27,910
+عندي E2 اذا انا عندي two electric fields اول خطوة
+
+137
+00:10:27,910 --> 00:10:32,310
+نتفق نعملها بدنا نحدد اتجاه المجالات على الرسمة
+
+138
+00:10:32,310 --> 00:10:36,710
+كيف؟ الشحنة مبينة انها positive او negative؟ مبينة
+
+139
+00:10:36,710 --> 00:10:43,330
+نبدأ بE1 من Q1 الـQ1 positive او negative؟شدة
+
+140
+00:10:43,330 --> 00:10:47,150
+المجال outward كيف بدي أن ابدا شباب جالي من الرصاص
+
+141
+00:10:47,150 --> 00:10:49,930
+بيكون عنده نقطة لإن أنا بدي أجيب شدة المجال عنده
+
+142
+00:10:49,930 --> 00:10:52,510
+نقطة ولا لأ جالي من الرصاص عنده نقطة هدفي عندي
+
+143
+00:10:52,510 --> 00:10:57,150
+خيارين لا أطلع لا أنزل على الشحنة صح ولا لأ الشحنة
+
+144
+00:10:57,150 --> 00:10:59,630
+positive أروح الهواء ولا أطلع منها إذا إيش بدي
+
+145
+00:10:59,630 --> 00:11:03,590
+أتوقع كيف .. فور هذا هي إذا أنا جاي من الرصاص
+
+146
+00:11:03,590 --> 00:11:06,710
+بيكون عنده نقطة دائما لإن أنا هناك بدي شدة المجال
+
+147
+00:11:06,710 --> 00:11:12,430
+at point P أو point P معروفة فبقولالاتجارات في
+
+148
+00:11:12,430 --> 00:11:16,190
+المنطقة الإلكترونية لجميع تجاربها تظهر
+
+149
+00:11:18,510 --> 00:11:23,710
+فيش اي احتمال اخر حطيت اصبعي عند النقطة P وقلت
+
+150
+00:11:23,710 --> 00:11:27,570
+outward بقولي عشان ال positive outward طلعت من
+
+151
+00:11:27,570 --> 00:11:31,550
+الشحنة فيش مجال طبعا it should be along the line
+
+152
+00:11:31,550 --> 00:11:34,690
+between the point and the charge هذه معروفة مش
+
+153
+00:11:34,690 --> 00:11:37,250
+صحيح يقولي طب outward فيش لهاد الاتجاه خليني
+
+154
+00:11:37,250 --> 00:11:41,550
+اطلعها هيك مينفعش ولا طلعها هيك مينفعش لازم تكون
+
+155
+00:11:41,550 --> 00:11:44,570
+على الخطصحيح ولا لأ؟ يعني مافيش مجال تقولك ما هي
+
+156
+00:11:44,570 --> 00:11:47,890
+طالعة هيك و لا هيك طالعة لازم تكون على الخط هذا
+
+157
+00:11:47,890 --> 00:11:51,610
+واضحة هذه الأمور سهلة مافيش فيها مجال انه انخربت
+
+158
+00:11:51,610 --> 00:11:57,370
+طيب نجري اتنين برضه جلم ارصاص على النقطة P هجيت في
+
+159
+00:11:57,370 --> 00:12:03,190
+عيني خيارين لأ أطلق لآجي صح ولا لأ هذي ايش اذا
+
+160
+00:12:03,190 --> 00:12:06,710
+بدها تكون بهذا الشكل
+
+161
+00:12:12,610 --> 00:12:21,740
+two directions انعرفواواضح ان E1 along the Y axis
+
+162
+00:12:21,740 --> 00:12:27,100
+و E2 is between the X and Y axis صح ولا لأ it has
+
+163
+00:12:27,100 --> 00:12:31,240
+a component along the positive X axis and another
+
+164
+00:12:31,240 --> 00:12:35,100
+component along the negative Y axis لما دي أحللها
+
+165
+00:12:35,100 --> 00:12:40,800
+E2 مش مركبة صينية موجبة و مركبة صادية لأسفل سالبة
+
+166
+00:12:40,800 --> 00:12:43,860
+طب كيف بدي أجيب المركبات واحدة واحدة قبل ما أحلل
+
+167
+00:12:43,860 --> 00:12:47,890
+بدي أجيب ال magnitudesالـ Direction جهزه تظهر علي
+
+168
+00:12:47,890 --> 00:12:53,990
+المجموعات دعنا نتكلم عن مجموعات الهواتف لكل شركة
+
+169
+00:12:53,990 --> 00:12:58,830
+احده احده احده احده احده احده احده احده احده احده
+
+170
+00:12:58,830 --> 00:13:02,810
+احده احده احده احده احده احده احده احده احده احده
+
+171
+00:13:02,810 --> 00:13:03,030
+احده احده احده احده احده احده احده احده احده احده
+
+172
+00:13:03,030 --> 00:13:04,650
+احده احده احده احده احده احده احده احده احده احده
+
+173
+00:13:04,650 --> 00:13:05,430
+احده احده احده احده احده احده احده احده احده احده
+
+174
+00:13:05,430 --> 00:13:07,290
+احده احده احده احده احده احده احده احده احده احده
+
+175
+00:13:07,290 --> 00:13:07,730
+احده
+
+176
+00:13:13,920 --> 00:13:18,160
+E1 due to the 7 micro coulomb and E2 due to the
+
+177
+00:13:18,160 --> 00:13:23,600
+minus 5 micro coulomb E1 equal K the absolute
+
+178
+00:13:23,600 --> 00:13:28,480
+value of Q1 over R1 square طبعا R1 هي المسافة بين
+
+179
+00:13:28,480 --> 00:13:34,990
+P و Q1 و لا لأ كده المسافة بين P و Q1 0.4صحيح ولا
+
+180
+00:13:34,990 --> 00:13:39,350
+لأ؟ و Q1 معروف ولا مش معروف كرقم؟ و K يُعطى إليك
+
+181
+00:13:39,350 --> 00:13:47,430
+وانت عارفه بتساوي 9 في 10 عقل 9 هو قيمة K 7 X 10⁻⁶
+
+182
+00:13:47,430 --> 00:13:53,490
+هي قيمة Q1 لأنها 7 مايكرو كلوم فصارت 10⁻⁶ over 0
+
+183
+00:13:53,490 --> 00:14:01,470
+.4² طلعت تطلعت 3.9 X 10⁵ نيوتن per كلوم هي المقدار
+
+184
+00:14:02,260 --> 00:14:05,800
+عشان اكتفها ك direction E1 من بين انا بضع جنبها J
+
+185
+00:14:05,800 --> 00:14:11,060
+وخلاص ولا لأ E1 شايفين كيف اتجاهها لو حطيت E1
+
+186
+00:14:11,060 --> 00:14:15,380
+فوقها سهم ساعتها بكتب الرقم هذا و بحط جنبه J بكون
+
+187
+00:14:15,380 --> 00:14:20,480
+احكي تفضلنا كلهم عامة الترابية في شدة المجال انت
+
+188
+00:14:20,480 --> 00:14:23,820
+منين جبتها كلهم عامة الترابية طب وكيه هذي وين
+
+189
+00:14:23,820 --> 00:14:31,450
+راحت؟ مالهاش واحدة كيه؟ هو الثابت مالواش واحدة؟G
+
+190
+00:14:31,450 --> 00:14:39,430
+ثابتة تعرفها الجهة دي ال 9.8 جيهة دي ال capital G
+
+191
+00:14:39,430 --> 00:14:44,090
+ذكرها كانت لو احدات كنا نجيب ال .. اذا الثابت لا
+
+192
+00:14:44,090 --> 00:14:50,520
+يعني انه بدون واحدةكما عرفنا وحدتها هي نيوتن متر
+
+193
+00:14:50,520 --> 00:14:54,560
+square على كلهم square فالكه ده مش مليون وحدات
+
+194
+00:14:54,560 --> 00:14:59,580
+فإله وحدة طلعنا a1 ك magnitude شباب نطلع اتنين في
+
+195
+00:14:59,580 --> 00:15:06,060
+الأول نخلص اتنين equal to the absolute value of Q2
+
+196
+00:15:06,060 --> 00:15:16,070
+over RT2 R2 is the distance between Q2 and Bبين Q2
+
+197
+00:15:16,070 --> 00:15:22,410
+خمسة من عشرة من فيثا غورد ماهياش و أحد يقولك او
+
+198
+00:15:22,410 --> 00:15:26,850
+point three بتزعل هدين اخدها ايه تمام اذا معناته
+
+199
+00:15:26,850 --> 00:15:30,970
+بتساوي تسعة في عشر او تسعة قيمة K و اللي إلها
+
+200
+00:15:30,970 --> 00:15:36,700
+وحدات حطيت minus five or fiveشوفوا شرط السلب طلعت
+
+201
+00:15:36,700 --> 00:15:40,540
+لأنه أنا بجيب ال absolute value of q بطلع على ال
+
+202
+00:15:40,540 --> 00:15:43,740
+magnitude زي ما حجز منكم إذا ما في five ten to
+
+203
+00:15:43,740 --> 00:15:48,020
+power minus six over 0.5 square و ال 0.5 هو
+
+204
+00:15:48,020 --> 00:15:55,000
+المسافة ما بين E P و Q2 في ثغورس حكى لي إنها 0.5
+
+205
+00:15:55,000 --> 00:16:00,040
+طلعت طلعت one point eight ten to power six Newton
+
+206
+00:16:00,040 --> 00:16:05,790
+per column حلوالـ two magnitudes are ready now بدي
+
+207
+00:16:05,790 --> 00:16:10,930
+اكتبهم ك vectors دلوقتي E1 بدهاش تحليل E2 بدي
+
+208
+00:16:10,930 --> 00:16:14,130
+احللها we have to resolve it into two components
+
+209
+00:16:14,130 --> 00:16:19,750
+تمام بيقول لي in vector notation we have for E1 زي
+
+210
+00:16:19,750 --> 00:16:23,590
+ما حكينا E1 سهل على العملية مجرد اني بكتب E1 equal
+
+211
+00:16:23,590 --> 00:16:27,310
+to 3.9 10 to the power of 5 وحطي جنبها G عادي
+
+212
+00:16:29,920 --> 00:16:37,140
+التانية ماذا تفعل فيها؟ تحدد الزاوية المركبات
+
+213
+00:16:37,140 --> 00:16:42,640
+تبعتها ها هدهم واحدة صينية موجبة والتانية صادية
+
+214
+00:16:42,640 --> 00:16:49,880
+سالبة بدي زاوية فانا اخترت الزاوية هدا هيإذا صارت
+
+215
+00:16:49,880 --> 00:17:00,160
+E2 بيتساوي 1.8 x 5 cos θ minus 1.8 x 5 sin θ كيف
+
+216
+00:17:00,160 --> 00:17:05,420
+بتجيب cos θ و sin θ الآن الزاوية
+
+217
+00:17:05,420 --> 00:17:10,620
+بالتبادل بتساوي الزاوية هذه ولا لأو هذه ال cos
+
+218
+00:17:10,620 --> 00:17:16,600
+بتسوي 0.3 على 0.5 و sin بتسوي 0.4 على 0.5 صح ولا
+
+219
+00:17:16,600 --> 00:17:21,400
+لأ اذا الزاوية اللي انا بدور عليها هي نفسها الحمرا
+
+220
+00:17:21,400 --> 00:17:28,180
+هذه صحيح ولا لأ و هذه صار عندى هذه بتسوي 0.3 على 0
+
+221
+00:17:28,180 --> 00:17:38,560
+.5 بتسوي 0.6 3 ع 5 و ال sin 4 ع 5 اللي هي 0.8أذا
+
+222
+00:17:38,560 --> 00:17:40,980
+الـ cosine و الـ sine أنا عارف طبعا أنا بديحي
+
+223
+00:17:40,980 --> 00:17:43,220
+الزاوية بدي ال cos و ال sin جديحي الزاوية ماني
+
+224
+00:17:43,220 --> 00:17:53,080
+جاوةبعد ما حسبناها طلعت بهذا الشكل بعد ما
+
+225
+00:17:53,080 --> 00:18:00,180
+جيبت E1 and E2 شباب الان E الكلية هي E1 plus E2
+
+226
+00:18:00,180 --> 00:18:06,200
+the vector sum of E1 plus E2 فصارت سهل now the
+
+227
+00:18:06,200 --> 00:18:13,630
+resultant electric field at point P isEP equals E1
+
+228
+00:18:13,630 --> 00:18:23,270
+plus E2 جمعتهم فطلعتها بهذا الشكل طبعا
+
+229
+00:18:23,270 --> 00:18:25,950
+ايه مع الصيني مع الصيني و الصاضي مع الصاضي و
+
+230
+00:18:25,950 --> 00:18:30,010
+بالتالي طلع الجواب بهذا الشكل في مشكلة شباب فينا
+
+231
+00:18:30,010 --> 00:18:34,770
+نطبق زي ال force بالظبط مافيش مشكلة بعدد اتجاه
+
+232
+00:18:34,770 --> 00:18:39,850
+بجيب كل واحدة على حده بكتبهم ك vectors بعدين بجمع
+
+233
+00:18:39,850 --> 00:18:46,930
+في مشكلةفي أي صفصار يا شباب؟ هيك هيكون الأسئلة
+
+234
+00:18:46,930 --> 00:18:54,670
+مشابهة لهذه الأسئلة كمان مثال بيقوللي برضه عندك a
+
+235
+00:18:54,670 --> 00:18:57,690
+positive point in charge q and a negative point in
+
+236
+00:18:57,690 --> 00:19:02,470
+charge minus q عندك two charges المثال السابق
+
+237
+00:19:02,470 --> 00:19:05,870
+يعطاني قيمها واحدة خمسة ماقص خمسة وواحدة سبعة صح
+
+238
+00:19:05,870 --> 00:19:09,570
+ولا لأ الآن جلبي ديش اديك أرقام واحدة q واحدة سالب
+
+239
+00:19:09,570 --> 00:19:17,340
+qو 1 موجة و 1 سالبة و نفس المقدار are separated by
+
+240
+00:19:17,340 --> 00:19:22,040
+a distance 2A و بينهم مسافة 2A اللي بين الجثين
+
+241
+00:19:22,040 --> 00:19:27,800
+فلتك منه اللي ضايبون ايش بده find E at a point P a
+
+242
+00:19:27,800 --> 00:19:31,120
+distance Y و Y أكبر 2 من A from the origin خلينا
+
+243
+00:19:31,120 --> 00:19:35,690
+نرسم الرسمة أولهذه هي في عندي الشحنة الحمرة
+
+244
+00:19:35,690 --> 00:19:39,750
+والشحنة الزرقى ال negative واحدة Q والتانية سالب Q
+
+245
+00:19:39,750 --> 00:19:45,010
+نفس المقدار بدو الشدة المجال كربع عند نقطة P و
+
+246
+00:19:45,010 --> 00:19:48,830
+النقطة P شباب عاملة مع الشحنتين مثلث متساوي
+
+247
+00:19:48,830 --> 00:19:53,550
+الساقين هذا معطيعتتمام؟ لأنه شايفين انه A و A من
+
+248
+00:19:53,550 --> 00:19:57,410
+النص وبالتالي هذه مثلثة متساوي اثقين بمعنى اخر
+
+249
+00:19:57,410 --> 00:20:03,610
+شباب اتضلع حاجة بدي اعتبره R و اتضلع حاجة برضه R
+
+250
+00:20:03,610 --> 00:20:07,050
+تمام؟
+
+251
+00:20:07,050 --> 00:20:10,590
+نفس اللي اتضلع ولا لأ؟ نفس اللي اتضلع ايش بده؟ بده
+
+252
+00:20:10,590 --> 00:20:15,940
+المجال الكلي اه كم مجال عنده نقطة P؟ اتنينالان
+
+253
+00:20:15,940 --> 00:20:18,860
+المعطيات اللي بيقولي هدى ايه و سالب ايه و سماه
+
+254
+00:20:18,860 --> 00:20:22,280
+electric die ball انه اكبر كتير من ايه ليش عملها
+
+255
+00:20:22,280 --> 00:20:27,540
+احنا المجال الكهربائي بنجرسه ليش بس عشان يشوفلي
+
+256
+00:20:27,540 --> 00:20:30,100
+شحنة و شحنة و انتوا في الواقع في شحنة هنا عروس
+
+257
+00:20:30,100 --> 00:20:34,880
+متلال شحنات و بنجيب شدة مجال لها لأ الواقع مش هيك
+
+258
+00:20:34,880 --> 00:20:39,700
+طب هو شو الواقع الواقع شباب انه حكينا من بدايات
+
+259
+00:20:39,700 --> 00:20:46,730
+المادةإن أصل الشحنات هي الـ Atoms Electrons and
+
+260
+00:20:46,730 --> 00:20:51,610
+Protons وكل مادة فيها Electrons and Protons ولا لأ
+
+261
+00:20:51,610 --> 00:20:55,050
+إذا أنا بتوقع الآن في كل مادة في مجال كهربائي ولا
+
+262
+00:20:55,050 --> 00:20:58,450
+لأ؟ في مجال كهربائي طب و المجال الكهربائي تطبيقاته
+
+263
+00:20:58,450 --> 00:21:01,250
+كثيرة هذه المادة اللي بدي أنا أحطها في الكمبيوتر
+
+264
+00:21:01,250 --> 00:21:03,690
+ولا في الكمبيوتر ولا في سيارة ولا وين ما يكون يكون
+
+265
+00:21:03,690 --> 00:21:07,980
+لازم أعرف خواصهامن ضمن القواص المهم اللي بدي
+
+266
+00:21:07,980 --> 00:21:11,000
+أعرفها جوا المادة هو إنه هل في مجال كهربائي ولا
+
+267
+00:21:11,000 --> 00:21:15,580
+لأ؟ لأن لو حاططها مجال كهربائي ممكن تعملي مشكلة،
+
+268
+00:21:15,580 --> 00:21:19,680
+صح ولا لأ؟ إذا لابد أنا أفحص هذه الخواص، قالك طب
+
+269
+00:21:19,680 --> 00:21:22,240
+هذه المادة كيف بدك تجيب مجالها؟ قال المادة مليش
+
+270
+00:21:22,240 --> 00:21:26,120
+متكونة، خليني على أبسط الشغلات، بروتون وإلكترون،
+
+271
+00:21:26,120 --> 00:21:30,060
+صح ولا لأ؟ شحنة البروتون وشحنة الإلكترون متساويات
+
+272
+00:21:30,060 --> 00:21:33,280
+ولا مش متساويات؟و واحدة منهم positive و واحدة منهم
+
+273
+00:21:33,280 --> 00:21:38,120
+negative ولا لأ؟ زي المثال هذاإذاً هذا مثال حي
+
+274
+00:21:38,120 --> 00:21:44,740
+لمادة واقعية هذا الجزيء اللي proton و electron أو
+
+275
+00:21:44,740 --> 00:21:48,400
+positive molecule and negative molecule بيسموه
+
+276
+00:21:48,400 --> 00:21:52,200
+electric dipole فنائي قط بي دايما مع بعض بيكونوا
+
+277
+00:21:52,200 --> 00:21:55,540
+في المادة بينفصلوش دايما حوالين بعض فهذه بيسموها
+
+278
+00:21:55,540 --> 00:21:58,560
+electric dipole إذا شوفوا ال electric dipole بيقول
+
+279
+00:21:58,560 --> 00:22:01,280
+positive charge and negative charge بينهم مسافة
+
+280
+00:22:01,280 --> 00:22:05,180
+بيسموه electric dipoleبقالوش مرة عليكم كلمة Bible
+
+281
+00:22:05,180 --> 00:22:08,800
+ولا لأ في مكان ما مش مشكلة التصميم أنا بالنسبالي
+
+282
+00:22:08,800 --> 00:22:11,240
+إلى هنا أنا نطبيق بدي أجيب في النهاية شدة مجال
+
+283
+00:22:11,240 --> 00:22:15,540
+الكهربائي طيب إيش معناة Y أكبر كتير من إيه؟ جالي
+
+284
+00:22:15,540 --> 00:22:19,160
+أرجع لضربة الهيدروجين جديش المسافة بين الألكترون
+
+285
+00:22:19,160 --> 00:22:23,460
+والبروتون؟ مش خدتها مثال أنا؟ ذاكرينها؟ لما جبت
+
+286
+00:22:23,460 --> 00:22:27,720
+القوة الكهربية والقوة التجاذبية بين الألكترون
+
+287
+00:22:27,720 --> 00:22:30,540
+والبروتون؟ جديش المسافة بين الألكترون والبروتون؟
+
+288
+00:22:30,540 --> 00:22:35,180
+نص أنجسترونتقريبا نص انجسترون كبيرة ولا صغيرة
+
+289
+00:22:35,180 --> 00:22:40,280
+صغيرة كتير اذا دائما المسافة بين الالكترون
+
+290
+00:22:40,280 --> 00:22:44,500
+والبروتون الصغيرة اللي هي A هنا بيقول لي Y عادة
+
+291
+00:22:44,500 --> 00:22:49,790
+حتى لو كانت ملي متر بتكون اكبر كتير من Aبتكون اكبر
+
+292
+00:22:49,790 --> 00:22:52,730
+كتير من ايه فلما يقولي why اكبر كتير من ايه برضه
+
+293
+00:22:52,730 --> 00:22:57,050
+عشان يجربني لواقع التطبيق انه هيك بتكون في الواقع
+
+294
+00:22:57,050 --> 00:23:00,350
+ان المسافات اللي انت بتتعامل معاها بين electron و
+
+295
+00:23:00,350 --> 00:23:05,070
+proton is microscopic very very small فهذه مجرد
+
+296
+00:23:05,070 --> 00:23:08,170
+هيك اما احنا في النهاية كمثال انا بتحلله عادي انا
+
+297
+00:23:08,170 --> 00:23:15,920
+وياكم احكي يا عماري هو هدراء طانيةمعطيات النقطة بي
+
+298
+00:23:15,920 --> 00:23:21,820
+جالب تقص على الخط الفاصل بالنص بالظبط يعني هو لما
+
+299
+00:23:21,820 --> 00:23:25,820
+يقولك هذه ايه وهذه ايه وحطلك النقطة بي في مجانا
+
+300
+00:23:25,820 --> 00:23:29,520
+تكونش متساوى الساقين مش متساوى الساقين الخط اللي
+
+301
+00:23:29,520 --> 00:23:33,500
+بنزل بجسمه بالنص هذا من خاص مثلث متساوى الساقين
+
+302
+00:23:33,500 --> 00:23:38,040
+اذا من معطيات السؤال هو الحدد النقطة بي اول ما
+
+303
+00:23:38,040 --> 00:23:40,720
+شوفت النقطة بي قلت اذا هذا مثلث متساوى الساقين
+
+304
+00:23:40,720 --> 00:23:46,830
+واضح تمامأذا انا كمثال هذه القضية التي فيها بولو
+
+305
+00:23:46,830 --> 00:23:50,410
+ان هو اكبر team من ايه عرفني ايش الهدف منها علشان
+
+306
+00:23:50,410 --> 00:23:55,150
+يقربني يقوللي هذا نموذج واقعي للمادة اي ان كانت
+
+307
+00:23:55,150 --> 00:23:58,350
+المادة لكن في النهاية كمثال بتحلول انا وياكم عادي
+
+308
+00:23:58,350 --> 00:24:01,970
+اكتر مجالي اتفقنا فيه مجالين واحد من ال positive
+
+309
+00:24:01,970 --> 00:24:05,250
+واحد من ال negative نبدأ بال positive اللي هو E1
+
+310
+00:24:05,250 --> 00:24:10,920
+شدة المجال كيف تكون في جاهزoutward تم اذا انا بدي
+
+311
+00:24:10,920 --> 00:24:13,940
+اقول the directions of the electric field due to
+
+312
+00:24:13,940 --> 00:24:17,180
+each charge are same مثل الصادق قول عادي عامل هاي
+
+313
+00:24:17,180 --> 00:24:23,440
+اي واحد في مشكلة شباب طيب التاني بده police صحيك
+
+314
+00:24:23,440 --> 00:24:27,540
+ولا لأ حلو ال direction بين والتانيين بدهم تحليل
+
+315
+00:24:27,540 --> 00:24:32,180
+ولا لأ التانيين بدهم تحليل طيب عشان احل بدي بال
+
+316
+00:24:32,180 --> 00:24:36,740
+magnitude ال magnitude بسوى Kabsolute value of the
+
+317
+00:24:36,740 --> 00:24:40,820
+cube على R تربيع صح ولا لأ؟ الأولى والتانية ال
+
+318
+00:24:40,820 --> 00:24:43,040
+absolute value of the cubes بيختلفوا عن بعض؟ لأ لأ
+
+319
+00:24:43,040 --> 00:24:45,520
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+320
+00:24:45,520 --> 00:24:46,480
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+321
+00:24:46,480 --> 00:24:46,540
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+322
+00:24:46,540 --> 00:24:46,640
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+323
+00:24:46,640 --> 00:24:47,400
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+324
+00:24:47,400 --> 00:24:51,120
+لأ لأ لأ لأ ل
+
+325
+00:24:55,460 --> 00:24:58,320
+The resultant electric field at point B بيقول
+
+326
+00:24:58,320 --> 00:25:02,520
+بيقول بيقول
+
+327
+00:25:02,520 --> 00:25:13,400
+بيقول بيقول بيقول بيقول بيقول بيقول بيقول بيقول
+
+328
+00:25:13,400 --> 00:25:16,780
+بيقول بيقول بيقول بيقولو E negative جاي من
+
+329
+00:25:16,780 --> 00:25:20,160
+negative charge و انا شباب تمام عندي two electric
+
+330
+00:25:20,160 --> 00:25:23,720
+fields و بدي اجمعهم حددت اتجاهاتهم لجيب ال
+
+331
+00:25:23,720 --> 00:25:29,550
+magnitudes بيقول لي since Bis equidistance from
+
+332
+00:25:29,550 --> 00:25:33,410
+the two charges على أبعاد متساوية من الشحنتين
+
+333
+00:25:33,410 --> 00:25:38,030
+لأنهم مثلث و متساوي الساقين بما أن B تبعد عن ال
+
+334
+00:25:38,030 --> 00:25:41,390
+positive charge بنفس المسافة اللي بتبعدها عن ال
+
+335
+00:25:41,390 --> 00:25:43,850
+negative charge equidistance يعني على أبعاد
+
+336
+00:25:43,850 --> 00:25:47,890
+متساوية from the two charges the magnitude of E
+
+337
+00:25:47,890 --> 00:25:52,290
+plus and E negative are equalلأن اتفاقنا E بيسوي K
+
+338
+00:25:52,290 --> 00:25:57,550
+الـ two K واحدة absolute value للـ Q والتلين واحدة
+
+339
+00:25:57,550 --> 00:26:01,250
+على مربع المسافة ومربع المسافة واحد ولا لأ إذا the
+
+340
+00:26:01,250 --> 00:26:04,890
+magnitude of E plus and the magnitude of E
+
+341
+00:26:04,890 --> 00:26:11,430
+negative are the same إيش بيسوي؟ بتساوي K Q على R
+
+342
+00:26:11,430 --> 00:26:17,760
+تربية صح ولا لأ؟ طب R بقدر أجيبها بجللة Y وAأه لأن
+
+343
+00:26:17,760 --> 00:26:21,520
+Y و E هي المعطيات أرض مش معطة و هذي بتساوي لو بدي
+
+344
+00:26:21,520 --> 00:26:25,260
+أجي أعملها ايه تربيع زي Y تربية صح ولا لأ شباب
+
+345
+00:26:25,260 --> 00:26:29,780
+تمام ال magnitude عامة إيش ضال عليها أكتبهم ك
+
+346
+00:26:29,780 --> 00:26:33,060
+vectors و أجمع صح ولا لأ ده عشان أكتبهم ك vectors
+
+347
+00:26:33,060 --> 00:26:37,620
+بدي أنحلل خلّينا نحلل E واحد تصوروها كده تكون
+
+348
+00:26:37,620 --> 00:26:43,000
+واحدة رايحة positive x زي و التانية فوق فبوت تانية
+
+349
+00:26:44,170 --> 00:26:47,770
+و واحدة positive x اكس و تانية طيب ال positive
+
+350
+00:26:47,770 --> 00:26:51,230
+واحدة فوق و واحدة تحته متساويه اتحب تصرفيهم؟ بدهم
+
+351
+00:26:51,230 --> 00:26:55,940
+يلغوه بعرفصح ولا لا؟ خلّينا نحكي بقول as it is
+
+352
+00:26:55,940 --> 00:27:00,320
+clear from the directions of the two fields من ال
+
+353
+00:27:00,320 --> 00:27:05,600
+direction تبقى on T fields the Y components are
+
+354
+00:27:05,600 --> 00:27:12,220
+cancel out of E plus and E minus cancel each other
+
+355
+00:27:12,220 --> 00:27:15,300
+عدنا بنشوفها على الرسمة the net electric field at
+
+356
+00:27:15,300 --> 00:27:19,870
+P is therefore هاي الأولى صحيك تحليلها؟E plus
+
+357
+00:27:19,870 --> 00:27:25,330
+هيتحليلها والتانية هيتحليلها صحيح ولا لأ؟ اتطلع
+
+358
+00:27:25,330 --> 00:27:30,010
+شوفوا ال y components ايش صار فيهم؟ واحدة لفوق و
+
+359
+00:27:30,010 --> 00:27:33,910
+انا روحنا مظبوط
+
+360
+00:27:33,910 --> 00:27:38,390
+هيك؟ حاجات التنتين عكس بعض و احنا اتفقنا من أول ان
+
+361
+00:27:38,390 --> 00:27:44,330
+هم متساويات اجمعهم، راحوا والصيني بينجمعوا مع بعض
+
+362
+00:27:44,330 --> 00:27:49,440
+صحي ولا لأ؟أذن راحوا و نظروا عندى E باتجاه الصيني
+
+363
+00:27:49,440 --> 00:27:53,640
+طيب هى كام مركبة صينية فيها عندى اذا مجموحهم
+
+364
+00:27:53,640 --> 00:27:56,260
+الصينية الأولى زي الصينية التانية طب الصينية كيف
+
+365
+00:27:56,260 --> 00:27:59,920
+ده تجيبها مش بدي ايه قصان الزاوية مظبوط ولا لأ و
+
+366
+00:27:59,920 --> 00:28:03,500
+قصان الزاوية سهل قصان الزاوية شبكت لو أخدت زاوية
+
+367
+00:28:03,500 --> 00:28:08,700
+هادي انا sorry او أخدت زاوية هادي بتفرقوا عن بعض
+
+368
+00:28:08,700 --> 00:28:15,700
+هادي هي نفسها هادي صح و هادي هي نفسها هاديإذا نفس
+
+369
+00:28:15,700 --> 00:28:20,840
+الزوايا تفرجش معاك لأ بتحلل الأولى لأ بتحلل التانى
+
+370
+00:28:20,840 --> 00:28:26,680
+و أحنا متفقين إنهم أصلا equals احكي ماجيبلها
+
+371
+00:28:26,680 --> 00:28:28,980
+هو وين هي وين جالك مش Absolute هجيش مقدارها جيش
+
+372
+00:28:28,980 --> 00:28:32,080
+مقدارها لو كان مقدارها خمسة بده أضل نحط الabsolute
+
+373
+00:28:32,080 --> 00:28:36,420
+الخمسة و لا أحط خمسة هجت سالب خمسة بده أحط خمسة
+
+374
+00:28:36,420 --> 00:28:41,450
+برضه هو اللي جالك ال Q و التانية جيش مقدارهاسالب
+
+375
+00:28:41,450 --> 00:28:44,910
+كيو واحد السالب والأول الموجة بقى راح تسي الموجة
+
+376
+00:28:44,910 --> 00:28:48,650
+ويبقى لها كيو فالمقدار بيسوا كيو هو مقدارها بدي
+
+377
+00:28:48,650 --> 00:28:53,930
+الخمسة والسبعة هذي كيو فهمت عليا أحكي طب عمان انا
+
+378
+00:28:53,930 --> 00:28:58,170
+عملتي اتجاه وخلصت اما هنا لو في انا قولت هذي و هذي
+
+379
+00:28:58,170 --> 00:29:01,810
+بيسوا بعض طب واحد منهم سالب مفينتش اذا انا حطيت
+
+380
+00:29:01,810 --> 00:29:05,310
+كيو كرقم هذي هو مقدار كيو تمام؟
+
+381
+00:29:08,540 --> 00:29:12,020
+أيش بتساوي يعني؟ ايه ايش بتساوي؟ مش K وQ على R
+
+382
+00:29:12,020 --> 00:29:17,460
+تربيع صح ولا لأ؟ ليه جي الاتنين؟ نفس ال K؟ مش ايه
+
+383
+00:29:17,460 --> 00:29:20,960
+لاتنتين نفس ال K؟ لأنه K constant لاتنتين نفس ال Q
+
+384
+00:29:20,960 --> 00:29:25,820
+ولا لأ؟ مش هو أعطاني هو واحدة Q واحدة سلبي Q؟ إذا
+
+385
+00:29:25,820 --> 00:29:29,560
+المقدار هم واحد ولا لأ؟ طب نفس ال R ولا مش نفس ال
+
+386
+00:29:29,560 --> 00:29:34,060
+R؟ لأن عليها هي نفس ال R التفاقن من أول إذا بتوقع
+
+387
+00:29:34,060 --> 00:29:41,540
+اي واحد و اي اتنين بيساوي بعد؟K نفسها Q نفسها وR
+
+388
+00:29:41,540 --> 00:29:46,240
+نفسها اذا بيتوقع ان E1 وE2 are equal in magnitude
+
+389
+00:29:46,240 --> 00:29:49,180
+البراشر مش equal احنا سايفين كل واحدة لها
+
+390
+00:29:49,180 --> 00:29:51,860
+direction مختلفة عن التاني لكن ال magnitude بحسب
+
+391
+00:29:51,860 --> 00:29:53,960
+القوانين طلعوا يتزاوجوا بعيد يعني اذا بدي احط
+
+392
+00:29:53,960 --> 00:29:59,420
+أرقام هتطلعوا يعملوا نفس الرقم صحيح ولا لأ تمام
+
+393
+00:29:59,420 --> 00:30:04,120
+شباب الان بقول ليه مزال هيك اشتغل
+
+394
+00:30:07,020 --> 00:30:10,740
+يجب أن ننقل إلى E Plus Cos Theta Plus E Minus Cos
+
+395
+00:30:10,740 --> 00:30:14,860
+Theta ثم
+
+396
+00:30:14,860 --> 00:30:18,660
+ننقل إلى E Plus
+
+397
+00:30:18,660 --> 00:30:20,200
+E Minus Theta Plus E Minus Theta Plus E Minus
+
+398
+00:30:20,200 --> 00:30:21,000
+Theta Plus E Minus Theta Plus E Minus Theta Plus E
+
+399
+00:30:21,000 --> 00:30:21,040
+Plus E Minus Theta Plus E Minus Theta Plus E Minus
+
+400
+00:30:21,040 --> 00:30:21,060
+Theta Plus E Minus Theta Plus E Minus Theta Plus E
+
+401
+00:30:21,060 --> 00:30:21,200
+Theta Plus E Minus Theta Plus E Minus Theta Plus E
+
+402
+00:30:21,200 --> 00:30:21,460
+Minus Theta Plus E Minus Theta Plus E Minus Theta
+
+403
+00:30:21,460 --> 00:30:21,520
+Plus E Minus Theta Plus E Minus Theta Plus E Minus
+
+404
+00:30:21,520 --> 00:30:27,250
+Theta Plus E Minكداش يعني؟ Y على R صح ولا لأ؟ إذا
+
+405
+00:30:27,250 --> 00:30:29,710
+كصين الثيتا بيساوي Y على R طبعا كصين الثيتا الأولى
+
+406
+00:30:29,710 --> 00:30:32,190
+والتانية بيساوي بعض ولا بيساويش بعض؟ بيساوي ببعض
+
+407
+00:30:32,190 --> 00:30:35,310
+لإنه طلع عنده هذه الزاوية أو هذه الزاوية كصينها
+
+408
+00:30:35,310 --> 00:30:38,990
+إيش؟ A على R أو هيك A على R هذي بيعني إنه برضه
+
+409
+00:30:38,990 --> 00:30:43,920
+متساوى الصقيل تمام الزاوية متساويةcos θ بيساوي E
+
+410
+00:30:43,920 --> 00:30:48,060
+على R صح ولا لأ ارجع فوق E plus و E minus بيساوي
+
+411
+00:30:48,060 --> 00:30:51,880
+بعد و cos θ الأولى و cos θ التانية بيساوي بعد اذا
+
+412
+00:30:51,880 --> 00:30:58,900
+ايه الكلية بيساوي 2E cos θ E طلعتها بيساوي KQ على
+
+413
+00:30:58,900 --> 00:31:04,320
+R تربية اذا صار الجواب 2KQR
+
+414
+00:31:04,320 --> 00:31:11,560
+على R تربية حد هو Eمظبوط ولا لا؟ وcos θ بتساوي a
+
+415
+00:31:11,560 --> 00:31:17,800
+على r جمعت طلعت هيك كيوتنين a على r تكعين طبعا
+
+416
+00:31:17,800 --> 00:31:21,560
+باتجاه ال I عسله الصيني متش شايفينه باتجاه ال I
+
+417
+00:31:21,560 --> 00:31:25,800
+طيب ده اللي هادي ال R وانت طوا كتبتليها بدلات ايش
+
+418
+00:31:25,800 --> 00:31:33,360
+Y وA مظبوط ولا لا؟R تكعيب بتساوي A تربيع زي ال Y
+
+419
+00:31:33,360 --> 00:31:37,820
+تربيع جزر التلاتة عتني صحيح ولا لأ لأن ال R هي
+
+420
+00:31:37,820 --> 00:31:43,420
+square root of A تربيع plus Y تربيع طيب طبعا
+
+421
+00:31:43,420 --> 00:31:48,560
+الجواب كمثال خلص هنا خلصت انتهينا بس انا حكيت انه
+
+422
+00:31:48,560 --> 00:31:54,780
+عشان واقعي هذا و حكيلي جايلي Y much greater than A
+
+423
+00:31:54,780 --> 00:32:02,900
+و Y أكبر كتير من Aهذه Y كبيرة وهذه A ذاكرين في
+
+424
+00:32:02,900 --> 00:32:06,000
+فيزي ألف يقولنا واحد معاه مليون دينار و كمان دينار
+
+425
+00:32:06,000 --> 00:32:08,780
+يقوله جدش معاك يقولك مليون دينار ولا يقولك مليون
+
+426
+00:32:08,780 --> 00:32:12,860
+دينار و دينار خلاص دينار الله سهل عليه و واحد محش
+
+427
+00:32:12,860 --> 00:32:16,850
+إلا ديناربيرضى تقوله مش موجود معاك؟ بقولك هو كل
+
+428
+00:32:16,850 --> 00:32:21,590
+اللي حيلتي صح ولا لأ؟ اذا دايما التقريب بيكون بحسب
+
+429
+00:32:21,590 --> 00:32:26,950
+اللي بتقارن معاه بيقول why مليون دينار؟ وها دي
+
+430
+00:32:26,950 --> 00:32:30,320
+دينار؟ الله سهل عليه الدينار، ايش بيطلع عندي؟واي
+
+431
+00:32:30,320 --> 00:32:33,320
+تربيع واي تربيع تلاتة عتنين بيصير وقتك عيب ولا لأ
+
+432
+00:32:33,320 --> 00:32:36,720
+اذا هذا بيستبدل هذا حالة خاصة شباب زي ما اتفقنا
+
+433
+00:32:36,720 --> 00:32:41,400
+هنا خلصت المثال هجيت انا بس مجرب المعطيات بدي اجمل
+
+434
+00:32:41,400 --> 00:32:46,280
+الجواب اقول بما انه قاللي ان واي كتير اكبر من ايه
+
+435
+00:32:46,280 --> 00:32:53,570
+بيصحليفي اكبر اكتير من ايه هو اعطاني هذا الشرق ال
+
+436
+00:32:53,570 --> 00:32:57,490
+first
+
+437
+00:32:57,490 --> 00:33:04,000
+term اللي هو الدينار اهملهSo that R تكعيب is
+
+438
+00:33:04,000 --> 00:33:09,100
+approximated to بيصير R تكعيب تقريبا بتساوي Y
+
+439
+00:33:09,100 --> 00:33:14,340
+تكعيب خلاص فبتصيريش سؤال بيقولك شدة المجال داخل
+
+440
+00:33:14,340 --> 00:33:19,480
+المادة هو عبارة عن K اتنين ا على Y تكعيب تقريبا
+
+441
+00:33:19,480 --> 00:33:21,820
+يعني بمعنى اخر لما يقولك اوجد شدة المجال داخل
+
+442
+00:33:21,820 --> 00:33:24,360
+المادة عن نقطة معينة مالكيش دعوة من المسافات اللي
+
+443
+00:33:24,360 --> 00:33:28,240
+جوا خلاص بتقعد على Y تكعيب و بتريح حالك تقريبا
+
+444
+00:33:28,240 --> 00:33:32,130
+بيساوي بعض و بيجيبهاعشان برضه يسهلوا احارب داله
+
+445
+00:33:32,130 --> 00:33:36,110
+هذه الكمية شباب اللي هي Q في المسافة اللي بين
+
+446
+00:33:36,110 --> 00:33:39,230
+الشحنتين مش 2A المسافة بين الشحنتين الـQ في
+
+447
+00:33:39,230 --> 00:33:41,890
+المسافة اللي بين الشحنتين بيسموها الـelectric
+
+448
+00:33:41,890 --> 00:33:47,050
+dipole moment P الـelectric dipole moment P فبيقول
+
+449
+00:33:47,050 --> 00:33:51,810
+الـP هذه اللي انحطت محل Q في 2A مجرد يعني معلومة
+
+450
+00:33:52,520 --> 00:33:59,340
+Where P بتساوي Q في 2A Q في المسافة اللي بين
+
+451
+00:33:59,340 --> 00:34:02,040
+الشحنتين هو انا عندي شحنتين مقاديرهم مختلفة ولا
+
+452
+00:34:02,040 --> 00:34:05,420
+واحدة باخد مقدار الشحنة بضربها في المسافة اللي
+
+453
+00:34:05,420 --> 00:34:10,260
+بينهم يسمى P وهو ال electric dipole moment is
+
+454
+00:34:10,260 --> 00:34:13,680
+called the electric dipole moment if the direction
+
+455
+00:34:13,680 --> 00:34:15,600
+is taken to be from the positive charge to the
+
+456
+00:34:15,600 --> 00:34:17,800
+negative charge هنا المفروض يكون معكوس مش مهم
+
+457
+00:34:17,800 --> 00:34:25,290
+بنعملها كمانندى نطلع الان شباب على شغلة جديدة طبعا
+
+458
+00:34:25,290 --> 00:34:30,510
+بعنوان شباب electric field of a continuous charge
+
+459
+00:34:30,510 --> 00:34:34,910
+distribution خلينا نتذكر مع بعض continuous mass
+
+460
+00:34:34,910 --> 00:34:38,940
+distribution مرة علينا فيزياء الفcontinuous mass
+
+461
+00:34:38,940 --> 00:34:42,920
+distribution لما جبنا ال center of mass و لما جبنا
+
+462
+00:34:42,920 --> 00:34:47,860
+ال point of inertia of رد ذاكرينه اتعاملنا مع
+
+463
+00:34:47,860 --> 00:34:50,840
+continuous mass distribution ايش يعني continuous
+
+464
+00:34:50,840 --> 00:34:54,860
+mass distribution حد جلم نيجي على mass
+
+465
+00:34:54,860 --> 00:34:58,880
+distribution بقول الكتل وينها؟ في فرق بين كتلة و
+
+466
+00:34:58,880 --> 00:35:05,800
+كتلة؟إذا الكتل متوزعة بانتظام وباستمرار على كل
+
+467
+00:35:05,800 --> 00:35:08,920
+الجلام صح ولا لأ تفردك من ال mass distribution هذا
+
+468
+00:35:08,920 --> 00:35:13,270
+كله مشهوركله مشهور لما أقول كله مشهور يعني وين ما
+
+469
+00:35:13,270 --> 00:35:16,610
+تحط أصبعك فيه شحنات ولا لأ إذا الشحنات موزعة
+
+470
+00:35:16,610 --> 00:35:19,790
+continuously مش شحنة هنا وشحنة هنا وشحنة هنا
+
+471
+00:35:19,790 --> 00:35:23,870
+continuous charge distribution فبهذا الكلام بدي
+
+472
+00:35:23,870 --> 00:35:28,450
+أجيب شدة مجاله بقدر أطبق عليه قانون ايه بتسوي KQ
+
+473
+00:35:28,450 --> 00:35:32,570
+على R تربية لأ لأنه هداك بيقول إلى pointed charge
+
+474
+00:35:32,570 --> 00:35:36,330
+هذا بيسموه continuous charge distribution هذا
+
+475
+00:35:36,330 --> 00:35:41,200
+الباب كله مشهور فيه مجال حوالين؟في مجال طب كيف بدي
+
+476
+00:35:41,200 --> 00:35:45,340
+أحسبه برضه بده شغل قانون كلهم لا ينطبق عليه إذا
+
+477
+00:35:45,340 --> 00:35:50,860
+كيف بدي أتعامل العملية سهلة مشكلتي في هذا الجلد
+
+478
+00:35:50,860 --> 00:35:55,740
+أنه مافيش عندي قانون ينطبق عليه صح ولا لأ طيب ربنا
+
+479
+00:35:55,740 --> 00:36:00,180
+خلج عننا مجصات كتيرة ومنشير ومنشترات وكل حاجة هذا
+
+480
+00:36:00,180 --> 00:36:02,960
+بدي أجيب مجص وضن أجاز جص فيه لما أصير pointed
+
+481
+00:36:02,960 --> 00:36:07,890
+charge بصح ليه بصحليه؟ لأن الـ Pointed Charge له
+
+482
+00:36:07,890 --> 00:36:12,790
+قانون، هذا ليس له قانون، بلاش، قصه، فهذا كم قطعة
+
+483
+00:36:12,790 --> 00:36:17,470
+أطلع، فخلّيه يطلع له عشرين قطعة، تمام؟ عشرين قطعة،
+
+484
+00:36:17,470 --> 00:36:21,030
+يعني عشرين Pointed Charge، شدت المجال لتوتر شارج
+
+485
+00:36:21,030 --> 00:36:23,570
+الشخص اللي طلعتهم، ولا لا؟ لو جاك مثال، تلاتة
+
+486
+00:36:23,570 --> 00:36:26,550
+Pointed Charge، بتقولي، هو دي مصعب السؤال، اعطونا
+
+487
+00:36:26,550 --> 00:36:31,340
+بس اتنين، بتعرفش تجيبلي تلاتة؟بتعرف الـG طب لو
+
+488
+00:36:31,340 --> 00:36:35,940
+لعشرة بتعرف الـG بس أطول بيكون الحل صح ولا لأ؟ بدك
+
+489
+00:36:35,940 --> 00:36:38,820
+زمان اديني زمان بطلعله ان شاء الله انا مليون صحيح
+
+490
+00:36:38,820 --> 00:36:43,080
+ولا لأ؟ اذا العملية انا كيف بيتعامل معاه؟ بقول انا
+
+491
+00:36:43,080 --> 00:36:47,480
+هذا ال child distributionبدي اجسمه ل pointy
+
+492
+00:36:47,480 --> 00:36:52,320
+charges طيب صارت اتفقنا عشرين قطعة جيب E لواحدة
+
+493
+00:36:52,320 --> 00:36:54,820
+ولا تانية ولا تالتة و جمع بتجيب شدة في المجال
+
+494
+00:36:54,820 --> 00:36:58,160
+الكلي ولا لأ طبعا مش هجمع لا مليون ولا اتنين مليون
+
+495
+00:36:58,160 --> 00:37:02,600
+في عندي قالية بسموها التكامل integration و
+
+496
+00:37:02,600 --> 00:37:05,920
+integration الassumption صح ولا لأ اذا المعنى
+
+497
+00:37:05,920 --> 00:37:10,650
+تبقولي كيف يسويبقول تـ evaluate the electric field
+
+498
+00:37:10,650 --> 00:37:13,590
+of such a configuration لهذا الشكل، أي إن كان
+
+499
+00:37:13,590 --> 00:37:17,190
+الشكل اللي عندك، the following of procedures are
+
+500
+00:37:17,190 --> 00:37:20,590
+used، إيش بقيت تسوي؟ اتبعوا الخطوات التالية، أول
+
+501
+00:37:20,590 --> 00:37:29,600
+خطوةبقول we divide الشكل
+
+502
+00:37:29,600 --> 00:37:34,780
+أو التوزيع into small elements لعناصر صغيرة such
+
+503
+00:37:34,780 --> 00:37:37,920
+that هذا العنصر لازم تكون مجاله بتاعها في جيبه
+
+504
+00:37:37,920 --> 00:37:42,200
+such that the electric field for each element can
+
+505
+00:37:42,200 --> 00:37:45,540
+be calculated easily طبعا الشغل ال default اعملوا
+
+506
+00:37:45,540 --> 00:37:48,960
+pointed chargesصح ولا لأ؟ ال point of charge بتعرف
+
+507
+00:37:48,960 --> 00:37:51,580
+تجيب المجال لل point of charge؟ اه فيه قانون ولا
+
+508
+00:37:51,580 --> 00:37:55,540
+ماديش قانون؟ إله قانون إذا أول خطوة بيقولك شكل
+
+509
+00:37:55,540 --> 00:38:00,480
+اللي عندك لمغلبك جسمه لعناصر صغيرة بحيث كل عنصر
+
+510
+00:38:00,480 --> 00:38:06,660
+مجاله تعرف تجيبه حلو أول حاجة عرفته اتنين بيقوللي
+
+511
+00:38:06,660 --> 00:38:12,640
+each element is assumed a charge dq بيقوللي دي في
+
+512
+00:38:12,640 --> 00:38:17,380
+ال calculus بتاعي increment جزءDX شباب في الـ
+
+513
+00:38:17,380 --> 00:38:22,360
+Calculus تعني جزء من الـ X صح ولا لأ كل حاجة تابعة
+
+514
+00:38:22,360 --> 00:38:30,340
+لعنصر تسبق بالحرف D increment شحنة العنصر DQ جديش
+
+515
+00:38:30,340 --> 00:38:36,200
+كتلة العنصر كلنا ناخدها كتلة العنصر DM جديش مجاري
+
+516
+00:38:36,200 --> 00:38:42,400
+العنصر DEإذاً كل شيء للعنصر يُصبَق بالـD لأن هذا
+
+517
+00:38:42,400 --> 00:38:48,880
+جزء من كل جزء فالـD هو increment حلو نقول لكل عنصر
+
+518
+00:38:48,880 --> 00:38:53,560
+من عناصر جديد شحنته DQ حلو الآن العنصر اللي انت
+
+519
+00:38:53,560 --> 00:38:57,910
+اختارته مجاله بتاعه في جيبه بعرف اجيبه جيبهبقول لي
+
+520
+00:38:57,910 --> 00:39:03,610
+next we calculate the electric field due to one of
+
+521
+00:39:03,610 --> 00:39:08,390
+these limits بس بدي واحد بديش اكتر بس واحد اختارلي
+
+522
+00:39:08,390 --> 00:39:11,370
+واحد و جيبلي مجاله و انت جولت الانصار و تقعد تجيب
+
+523
+00:39:11,370 --> 00:39:18,750
+مجاله جيبه جيبنا واحد حلو هذا المجال جيبته هذا جزء
+
+524
+00:39:18,750 --> 00:39:23,510
+من كل الان بدل ما تجيب كل العناصر و تجمعهم جلة
+
+525
+00:39:23,510 --> 00:39:31,150
+كاملكامل اتفقنا مجال العصر جديش؟ DE عشان تجيب E
+
+526
+00:39:31,150 --> 00:39:37,090
+لكلية ايش تسوي؟ ايش تكامل ال DE شباب؟ E مش E؟ اذا
+
+527
+00:39:37,090 --> 00:39:40,690
+ما زلت تجيب ال DE كملها بتجيب ايه اللي بدك اياها؟
+
+528
+00:39:40,690 --> 00:39:47,820
+كامل؟ اذا بيقول ليه؟ثلاثة أو أربعة هذه finally we
+
+529
+00:39:47,820 --> 00:39:51,680
+integrate over the charge distribution to evaluate
+
+530
+00:39:51,680 --> 00:39:54,840
+the total electric field due to the wall charge
+
+531
+00:39:54,840 --> 00:39:58,720
+distribution كامل دي ايه بتطلع معاك ايه الكلية و
+
+532
+00:39:58,720 --> 00:40:02,360
+انت هادي اللي بتسعقله مافيش اي مشكلة عندك ايه
+
+533
+00:40:02,360 --> 00:40:08,200
+السفصار الشباب كبينه نعم تمه بيقولي بس انت بتقول
+
+534
+00:40:08,200 --> 00:40:15,310
+انت بتكامل التكامل بيجمع scalarsبيجمع الـ scalars
+
+535
+00:40:15,310 --> 00:40:19,210
+انت لما تكامل بيجمع لخمسة و تلاتة تمانية لكن لو
+
+536
+00:40:19,210 --> 00:40:22,430
+واحدة خمسة باتجاه ال I و تلاتة باتجاه ال J بيطلع
+
+537
+00:40:22,430 --> 00:40:25,330
+الكاش يها بيطلع لكيها تمانية لذلك لازم انت تقوله
+
+538
+00:40:25,330 --> 00:40:30,550
+كيف تكامل بقولي remark the integration should be
+
+539
+00:40:30,550 --> 00:40:34,890
+performed for each component of the electric field
+
+540
+00:40:34,890 --> 00:40:40,950
+لازم تكامل المركبات كلها على حدةWhy؟ لأن
+
+541
+00:40:40,950 --> 00:40:43,870
+المُركّبات الصينية لما تكون بس مُركّبات صينية كلها
+
+542
+00:40:43,870 --> 00:40:46,730
+بنفس الاتجاه ولا لأ؟ لما أقول لك تلاتة سين وخمسة
+
+543
+00:40:46,730 --> 00:40:49,490
+في اتجاه السين، بقدر أجمعهم تمانية ولا لأ؟ إذا
+
+544
+00:40:49,490 --> 00:40:52,430
+تكامل المُركّبة الصينية على أحدها والصادية على
+
+545
+00:40:52,430 --> 00:40:55,970
+أحدها. ليش؟ لأنه أنا بتعامل مع vectors، ذاكرين
+
+546
+00:40:55,970 --> 00:41:01,870
+زمان لما كنتوا تكاملوا الـHick في توجيهيومنوع
+
+547
+00:41:01,870 --> 00:41:05,870
+تكملوها او تشبعوها تجيبوا المسافة المساحة من أول
+
+548
+00:41:05,870 --> 00:41:08,610
+حاجة لآخر حاجة لما كنتوا تجيبوا المساحة من أول
+
+549
+00:41:08,610 --> 00:41:12,150
+لآخر اش تكاملوا تطلعوا الكم Zero صح ولا لأ؟ هذه
+
+550
+00:41:12,150 --> 00:41:18,980
+الرسمة ذاكرينها؟ لو كملتوا من هال لهالماذا حيطلعلك
+
+551
+00:41:18,980 --> 00:41:22,580
+التكامل؟ Zero. لكن هل المساحة هذه Zero؟ لأ. إيش
+
+552
+00:41:22,580 --> 00:41:25,700
+كنت تسويه؟ كنت تتجسم. مظبوط ولا لأ؟ لأنه برضه
+
+553
+00:41:25,700 --> 00:41:28,780
+المساحات، دير بالك المساحة ما هي vector فزاني
+
+554
+00:41:28,780 --> 00:41:31,200
+بتتعامل مع vector وانت لابدك تقوله التكامل، إيش
+
+555
+00:41:31,200 --> 00:41:34,600
+يجمعلك وهنا نفس القضية، مفعلش تقوله كامل وانت مش
+
+556
+00:41:34,600 --> 00:41:38,900
+عارف إيش اللي بتسويه، تحكي، وانت مش عارف؟ مش
+
+557
+00:41:38,900 --> 00:41:42,940
+مساحة، حاجة من الناس، بحكميدر المربع كنت بتعرفش طب
+
+558
+00:41:42,940 --> 00:41:47,030
+و .. هاهليش هو المساحة انت ماخدتش مساحة جاينها
+
+559
+00:41:47,030 --> 00:41:50,790
+vector ولا مش vector؟ طيب انت ماعرفتش انه المساحة
+
+560
+00:41:50,790 --> 00:41:56,010
+بساوي ايه across ال B؟
+
+561
+00:41:56,010 --> 00:42:00,450
+هاي
+
+562
+00:42:00,450 --> 00:42:04,630
+المساحة كيف نجيب المساحة مش هي عبارة عن قاعدة
+
+563
+00:42:04,630 --> 00:42:11,070
+الارتفاع و الارتفاع هو ايه صلى الزاوية؟هذا
+
+564
+00:42:11,070 --> 00:42:15,370
+الارتفاع مش A Sine الزاوية اذا المساحة بيساوي B في
+
+565
+00:42:15,370 --> 00:42:20,610
+A Sine الزاوية وهذه بيساوي A في B في Sine الزاوية
+
+566
+00:42:20,610 --> 00:42:25,470
+واحنا أخدناها كمثال ك vectors من فيزي ألف ان ال
+
+567
+00:42:25,470 --> 00:42:29,650
+surface or the area is a vector quantity وكان فيها
+
+568
+00:42:29,650 --> 00:42:33,190
+سؤال في الشتر الأول تثبت ان ال area بيساوي A cross
+
+569
+00:42:33,190 --> 00:42:36,490
+ال B ولما أقول cross النتيجة بيكون vector ولا
+
+570
+00:42:36,490 --> 00:42:41,600
+scalarإذا ال area is a vector quantity واتجاهها
+
+571
+00:42:41,600 --> 00:42:47,000
+هنحكي عنها كتير لسه المساحة vector quantity تمى
+
+572
+00:42:47,000 --> 00:42:51,600
+طيب لما أنا جبت ال moment of inertia و لما جبت
+
+573
+00:42:51,600 --> 00:42:55,360
+برضه ال center of mass إجتني مرة تكامل شباب مر
+
+574
+00:42:55,360 --> 00:43:01,140
+عليك التالي تكامل DM
+
+575
+00:43:01,140 --> 00:43:02,700
+في X
+
+576
+00:43:05,540 --> 00:43:10,620
+بقدر اجيب علاقة
+
+577
+00:43:10,620 --> 00:43:17,720
+بين X و M ايامها لجأنا لإيش بعد؟ للكثافات الكثافة
+
+578
+00:43:17,720 --> 00:43:22,820
+كانت تجيبلي علاقة بين كتلة و أبعاد بين كتلة و حجب
+
+579
+00:43:22,820 --> 00:43:27,120
+بين كتلة و مساحة و بين كتلة و طول صح ولا لأ؟ هيمر
+
+580
+00:43:27,120 --> 00:43:34,180
+علينا نفس الشيء بدل DMDQ بدي أنا علاقة بين شحنة و
+
+581
+00:43:34,180 --> 00:43:38,980
+أبعادبين شحنة وأبعاد هذي بيسموها ال charge density
+
+582
+00:43:38,980 --> 00:43:44,720
+كثافة لكن كثافة مش كتلة كثافة شحنة تمام ال charge
+
+583
+00:43:44,720 --> 00:43:50,000
+density بيقولني
+
+584
+00:43:50,000 --> 00:43:53,360
+when dealing
+
+585
+00:43:53,360 --> 00:43:57,220
+with continuous charge distribution it is
+
+586
+00:43:57,220 --> 00:44:00,500
+convenient to use the concept of charge density
+
+587
+00:44:00,500 --> 00:44:06,200
+لازم يلزمك ال charge densityتم اكنوع الـ densities
+
+588
+00:44:06,200 --> 00:44:09,560
+للمجموعات اذا اخدناها تلاتة و هنا احنا ناخد تلاتة
+
+589
+00:44:09,560 --> 00:44:16,980
+ذاكرين رموزهم؟ Lambda و Sigma و Rho نفس الرموز
+
+590
+00:44:16,980 --> 00:44:20,980
+هنستخدمهم الاستبدال الوحيد بدل ال mass is charge
+
+591
+00:44:22,030 --> 00:44:25,790
+بدي ال mass ال charge هي دا كثافة masses هنا كثافة
+
+592
+00:44:25,790 --> 00:44:30,910
+شحنات مش أكتر بيقول if that charge is distributed
+
+593
+00:44:30,910 --> 00:44:35,790
+along a line إذا كانت ال charge موزعة على line على
+
+594
+00:44:35,790 --> 00:44:40,350
+طول شباب بس طول يعني لو جالك سلك رفيع مشحون مش سلك
+
+595
+00:44:40,350 --> 00:44:45,710
+رفيع إله مساحةولا له حجم إذا ليش له طول بكفيني إذا
+
+596
+00:44:45,710 --> 00:44:48,650
+بقول عن هذه كثافة طولية if the charge is
+
+597
+00:44:48,650 --> 00:44:53,250
+distributed along a line we define the linear
+
+598
+00:44:53,250 --> 00:44:58,330
+charge density lambda نفس رمزها lambda إيش تعريفها
+
+599
+00:44:58,330 --> 00:45:03,270
+شحنة على طول بقولي lambda بتسوي dq على dl
+
+600
+00:45:06,580 --> 00:45:13,140
+طيب with a charge distributed over a surface لقال
+
+601
+00:45:13,140 --> 00:45:17,520
+لي في عندك ورقة من ورقة أي ورقة و شحنتها اذا وين
+
+602
+00:45:17,520 --> 00:45:21,620
+بتكون مزعج شحنات على ساطح مافيش حاجة ماهو مكتبة
+
+603
+00:45:21,620 --> 00:45:25,580
+حرفية if the charge is distributed over a surface
+
+604
+00:45:25,580 --> 00:45:29,300
+we define the surface charge density sigma اذا نفس
+
+605
+00:45:29,300 --> 00:45:35,200
+الرمز ايش اتوقع تكونDQ على DA طبعاً DQ هي الشحنة و
+
+606
+00:45:35,200 --> 00:45:40,940
+DA هي مساحة الجزء اللي مغطيها الشحنة اطلعوا يا
+
+607
+00:45:40,940 --> 00:45:48,020
+شباب لو احجركم كم واحدة Lambda واحدة Lambda كم؟
+
+608
+00:45:48,020 --> 00:45:56,370
+كلهم على طب و Sigma؟كلهم على متر تربية. اذا الوحدة
+
+609
+00:45:56,370 --> 00:46:01,410
+بتيجي من التعريف. لو واحد قاللي الكثافة الدنيا
+
+610
+00:46:01,410 --> 00:46:04,970
+كلهم على متر.بترفع أصبعي وأقولها دي مساحة ولا حجم
+
+611
+00:46:04,970 --> 00:46:08,370
+ولا طول ولا بكون عارف على طول وطول.إذا الوحدة
+
+612
+00:46:08,370 --> 00:46:12,710
+بتعطيني مفهوم الكمية الفيزيائية.حلو.إنظروا عن دي
+
+613
+00:46:12,710 --> 00:46:16,050
+الحجم. If the charge is distributed of within a
+
+614
+00:46:16,050 --> 00:46:20,630
+volume في حجم مانحن ندرس الـ volume charge density
+
+615
+00:46:20,630 --> 00:46:25,190
+ρو اللي هي الرمز اللي عارفينه كله عبارة عن dq على
+
+616
+00:46:25,190 --> 00:46:30,390
+dv طيب اضربوا درس التبادل ايش بيصيحي عينكم ديكيو
+
+617
+00:46:30,390 --> 00:46:36,450
+ايش بيساوي رو دي في مظبوط ولا لأ كامل طرفي
+
+618
+00:46:36,450 --> 00:46:39,770
+المعادلة ديكيو بيساوي رو دي في ايش تاكمل ديكيو
+
+619
+00:46:39,770 --> 00:46:44,750
+ديكيو اذا تشتغل الكلية يعني الطرف التاني كيف بيدا
+
+620
+00:46:44,750 --> 00:46:50,370
+كامله اطلع رو برادائما بطلع رو برا؟ لازم تكون
+
+621
+00:46:50,370 --> 00:46:54,790
+ثابتة؟ طب هى دائما ثابتة؟ طيب هل جتني جلال جلم
+
+622
+00:46:54,790 --> 00:47:00,670
+كمان مرة؟ فلتك من ال charge mass هل lambda او رو
+
+623
+00:47:00,670 --> 00:47:04,730
+او سيجما عليه ثابتة؟ اش يعنى؟ هل الكتل موزع
+
+624
+00:47:04,730 --> 00:47:09,290
+بانتظام عليه؟ انا في زي الف اذا اذكركم روحت على
+
+625
+00:47:09,290 --> 00:47:15,110
+البابو قلتلكم الشباك هذا الإجاز كثافة الخشب فيه
+
+626
+00:47:15,110 --> 00:47:18,770
+بيساوي كثابة الخشب في المنطقة التحتانية إذا هل
+
+627
+00:47:18,770 --> 00:47:23,590
+الكثافة واحدة؟ لأ إذا الكثافة مابتكون دايما واحدة
+
+628
+00:47:23,590 --> 00:47:25,950
+و ما زال ماكانتش واحدة لذا مش دايما ثابتة و اكتر
+
+629
+00:47:25,950 --> 00:47:31,510
+مابتكون ثابتةشايفين الورجة؟ الورجة أه لأن الورجة
+
+630
+00:47:31,510 --> 00:47:37,550
+منتظمة صح ولا لأ بقول مادة الولق موزعة بانتظام على
+
+631
+00:47:37,550 --> 00:47:44,810
+المساحة لكن أديت مثال أخر قولت المصطلة فيها خميلة
+
+632
+00:47:44,810 --> 00:47:49,310
+وفيها مدخل رفيعة صح ولا لأ اذا برضه روم ثابت عليها
+
+633
+00:47:49,310 --> 00:47:54,050
+طب وقتش أعرف بقول هو هيقولك بقولك انه لتشارج
+
+634
+00:47:54,050 --> 00:47:59,800
+uniform distributed or notوورد DQ هذا لمش مشكلة،
+
+635
+00:47:59,800 --> 00:48:04,940
+الوحدات أخدناها، if the charge is uniformly
+
+636
+00:48:04,940 --> 00:48:08,900
+distributed، إذا كانت ال charge موزعة بانتظام، هو
+
+637
+00:48:08,900 --> 00:48:13,950
+يقولك بانتظام ولا لا؟a long line over a surface or
+
+638
+00:48:13,950 --> 00:48:16,930
+within a volume وإذا قالك هذا كلمة ساعتها the
+
+639
+00:48:16,930 --> 00:48:19,870
+charge densities are constant في هذه الحالة بتكون
+
+640
+00:48:19,870 --> 00:48:23,110
+Lambda و Sigma ورود ثوابت لما يقولك uniformly
+
+641
+00:48:23,110 --> 00:48:26,970
+distributed مزعج بانتظارك زحكت الورقة تمام أما
+
+642
+00:48:26,970 --> 00:48:31,050
+الباب مش بالانتظار كان وضع في مكان مش فيه خشبفي
+
+643
+00:48:31,050 --> 00:48:36,070
+هذه الحالة بطلع lambda او rho او sigma constants
+
+644
+00:48:36,070 --> 00:48:40,910
+ايش بيصير تكامل ال DL ال وتكامل ال DAA وتكامل ال
+
+645
+00:48:40,910 --> 00:48:47,170
+DV V فبصير عندك Q بيثوي رو في V اذا هذا بيصير in
+
+646
+00:48:47,170 --> 00:48:51,070
+this case the total charge capital Qالـ total
+
+647
+00:48:51,070 --> 00:48:54,350
+charge بيدوها دايما رمز كبير capital Q احنا اتفقنا
+
+648
+00:48:54,350 --> 00:48:58,350
+انه رمز الشحنة small Q او capital Q و انا هو Q لكن
+
+649
+00:48:58,350 --> 00:49:00,850
+ال total Q دايما بيدوكوا الشغل الكبيرة بيعطوها
+
+650
+00:49:00,850 --> 00:49:03,910
+capital QThe total charge of capital Q can be
+
+651
+00:49:03,910 --> 00:49:07,830
+obtained by integrating both sides of the above
+
+652
+00:49:07,830 --> 00:49:11,390
+equations وحصل عندي كالتالي الـ Q الأولانية بيصوي
+
+653
+00:49:11,390 --> 00:49:15,510
+Lambda في L الـ Q التانية بيصيه Sigma في A وQ
+
+654
+00:49:15,510 --> 00:49:19,330
+التالتة بيصوي ρو في V طبعا في سؤال بيقولك هو
+
+655
+00:49:19,330 --> 00:49:23,210
+هتكامل ال DQ لصغيرة منفع أحطه capital Q كبيرة؟
+
+656
+00:49:23,210 --> 00:49:28,030
+المفروض يكون الـQ صغيرة إيش تكامل ال DX؟بنفع أقول
+
+657
+00:49:28,030 --> 00:49:31,590
+why؟ لأ طب التكامل يديه Q صغيرة، المفروض يكون Q
+
+658
+00:49:31,590 --> 00:49:36,570
+صغيرة، لكن لو أنا بعرف أنه التكامل هو جميع، إذا
+
+659
+00:49:36,570 --> 00:49:39,210
+التكامل يديه Q، بدي تديني Q الكلية و لا مش Q
+
+660
+00:49:39,210 --> 00:49:43,070
+الكلية؟ طب و Q الكلية إيش رمز همديني؟ Capital Q،
+
+661
+00:49:43,070 --> 00:49:46,890
+مافيش مشكلة، أنا معرف Capital Q هي Total Q، إذا
+
+662
+00:49:46,890 --> 00:49:51,270
+التكامل يديه Q، هي مش Q، هي Total Q أصلا، و Total
+
+663
+00:49:51,270 --> 00:49:58,170
+Q أنا بدينيها Capital Q، تمامطبعا ال و ايه
+
+664
+00:49:58,170 --> 00:50:04,110
+المعروفين نبدأ نحل امثلة كيف نطبق بيقول لي a rod
+
+665
+00:50:04,110 --> 00:50:09,970
+of length L lying along the x-axis is uniformly
+
+666
+00:50:09,970 --> 00:50:14,110
+charged with a total charge capital Q بيقول لي
+
+667
+00:50:14,110 --> 00:50:21,450
+عندك رد سلك طوله L كله مشحون تمام هذه السلك وجع
+
+668
+00:50:21,450 --> 00:50:25,520
+على ال x-axis عشان ترسموا صح وانا هديكم الرسمةكل
+
+669
+00:50:25,520 --> 00:50:29,180
+الشحنات اللي عليها كبيتال Q Calculate the electric
+
+670
+00:50:29,180 --> 00:50:32,300
+field دي إيش مطلوب شدة المجال الكهربائي عند نقطة P
+
+671
+00:50:32,300 --> 00:50:35,140
+و النقطة P along the axis of the rod اللي عندنا
+
+672
+00:50:35,140 --> 00:50:38,440
+على نص المرسمة و بتبعد مسافة دي from one end as
+
+673
+00:50:38,440 --> 00:50:44,340
+shown in the figure هاي الصين والصد ال rod lying
+
+674
+00:50:44,340 --> 00:50:48,530
+along the x axisهذا هو خططه أزرق هو positive بس
+
+675
+00:50:48,530 --> 00:50:51,430
+خططه أزرق عشان الألوان اذا حتشوف بدي اخد كمان أحمر
+
+676
+00:50:51,430 --> 00:50:55,190
+مينفعش احمر و أحمر فحطته أزرق هيك يعني هاي الرد
+
+677
+00:50:55,190 --> 00:51:03,090
+جديس طوله شباب هذا معطف تمام مشحون بده شدة المجال
+
+678
+00:51:03,090 --> 00:51:08,560
+عند النقطة هذه الشباب بده شدة المجال هناعند النقطة
+
+679
+00:51:08,560 --> 00:51:11,320
+P اللي بتبعد مسافة دي عن أحد أطرابه زي ما انت
+
+680
+00:51:11,320 --> 00:51:14,120
+شايفينه في الرسمة تمام؟ إذا اللي واضح عندي إيش
+
+681
+00:51:14,120 --> 00:51:17,160
+المطلوب أنا عندي؟ بدي شدّت المجال الكهربائي عند
+
+682
+00:51:17,160 --> 00:51:20,660
+النقطة ال origin اللي لا جاء من point of charge
+
+683
+00:51:20,660 --> 00:51:23,320
+ولا من continuous charge distribution من
+
+684
+00:51:23,320 --> 00:51:27,340
+continuous charge distribution اللي هو ال rodبقدر
+
+685
+00:51:27,340 --> 00:51:31,400
+أطبخ القانون و أقول KQ على R تربيع؟ لو حطت KQ على
+
+686
+00:51:31,400 --> 00:51:35,400
+R تربيعي، إيش بدي أحط R؟ أحطها D؟ ولا D زائد L؟
+
+687
+00:51:35,400 --> 00:51:38,780
+ولا D زائد نص L؟ بقدرش أعملها، مينفعش، هذا القانون
+
+688
+00:51:38,780 --> 00:51:42,320
+لا ينطبق على الـROD، بالتالي إيش أسوي؟ اتعلمي التو
+
+689
+00:51:42,320 --> 00:51:44,580
+إيش أسوي، مظبوط أو لا؟ بدي أجسم
+
+690
+00:51:47,640 --> 00:51:53,040
+we divide the rod into small elements each of
+
+691
+00:51:53,040 --> 00:52:02,980
+length dx طولها x وطولها d طولها dx او dl and it's
+
+692
+00:52:02,980 --> 00:52:06,640
+charge is dq يلّا ناخد هنا عنصر احنا لو جيبنا مجص
+
+693
+00:52:06,640 --> 00:52:10,920
+و جصينا هنجيبنا عنصر من هذه العناصرهذا هو .. هي
+
+694
+00:52:10,920 --> 00:52:13,480
+الجطع من هذا الجطع صح ولا لا؟ عشان كده انا حاطيته
+
+695
+00:52:13,480 --> 00:52:16,600
+هنا أحمر يقفل هو الأزرج عشان الأحمر يبين تمام؟
+
+696
+00:52:16,600 --> 00:52:21,350
+يعني هذا الأزرج مكوّن من أكم واحدة حمراءأدت حمرات
+
+697
+00:52:21,350 --> 00:52:26,010
+صح ولا لأ؟ أدت عناصر أنا اختارت أنصر واحد، هاي
+
+698
+00:52:26,010 --> 00:52:29,350
+عنصر هذا الانصر ممكن تعتبره point of charge ولا
+
+699
+00:52:29,350 --> 00:52:33,950
+لأ؟ اه صغير، تقدر تجيب شدة مجال ال point of
+
+700
+00:52:33,950 --> 00:52:38,690
+charge؟ اه عندي قانون، اذا اول خطوة بجسم لعناصر و
+
+701
+00:52:38,690 --> 00:52:41,690
+باختار عنصر واحد، العنصر اللي واحد بدي اختاره
+
+702
+00:52:41,690 --> 00:52:44,730
+الشباب ان نفسه هيكون عشوائي، يعني مينفع احط العنصر
+
+703
+00:52:44,730 --> 00:52:49,510
+في بداية الردبينفعش .. هتخربط ساعتها في المسافات و
+
+704
+00:52:49,510 --> 00:52:52,950
+لا بنفع تاخد العنصر في أخر الرد ولا في النص خده في
+
+705
+00:52:52,950 --> 00:52:59,990
+مكان عشوائي أخدته حلو بعد كده بقول أوجد شدة المجال
+
+706
+00:52:59,990 --> 00:53:05,830
+لهذا العنصر سهل طبعا
+
+707
+00:53:05,830 --> 00:53:11,510
+المسافات شباب أنا البعد مش عارفه X حطيته عشان أجيب
+
+708
+00:53:11,510 --> 00:53:18,190
+شدة المجال عنده النقطة Pللنقطة الحمرة الخانون
+
+709
+00:53:18,190 --> 00:53:23,570
+بيقول كيك U على R تربيعبعد المسافة ما بين ال .. ال
+
+710
+00:53:23,570 --> 00:53:26,690
+.. ال charge و ال point ال charge مبينة ان هي
+
+711
+00:53:26,690 --> 00:53:29,490
+الحمرة و ال point بعرفها بدي المسافة بينها و بينها
+
+712
+00:53:29,490 --> 00:53:34,550
+بعرفها بعرفها .. فرضها X متغيرة ما هي من عنصر
+
+713
+00:53:34,550 --> 00:53:38,410
+لعنصر بتتغير ولا لأ حاططها X هجيت أناش في الأخر
+
+714
+00:53:38,410 --> 00:53:42,330
+بجيهه بقول أوجد اتجاه المجال صح؟ مش أول خطوة
+
+715
+00:53:42,330 --> 00:53:45,970
+بعملها اتجاه المجال هجيت انت جلمك رصاصة عند النقطة
+
+716
+00:53:45,970 --> 00:53:48,690
+و الشحنة موجة ببيدك تروح على الشحنة ولا تبعد عنها؟
+
+717
+00:53:49,160 --> 00:53:53,120
+إذا هاي اتجاه المجال بعد ما جيب اتجاه المجال جالك
+
+718
+00:53:53,120 --> 00:53:58,080
+او جد مقداره او جد مقداره القانون K absolute value
+
+719
+00:53:58,080 --> 00:54:03,420
+of Q على قعر تربيع هجيب ال Q ايش بتحط محلها؟ ايش
+
+720
+00:54:03,420 --> 00:54:09,040
+شحنة ال .. DQ مش هى انت جاعد بتجيب فقط لعنصر إلك
+
+721
+00:54:09,040 --> 00:54:12,620
+دعوة في باجر رد؟ انت إلك دعوة باسم العنصر عنصر ايه
+
+722
+00:54:12,620 --> 00:54:19,100
+شحنته؟ DQ بدل ما تعود خمسة او سبعة قبل DQ تمامبقول
+
+723
+00:54:19,100 --> 00:54:24,740
+so the electric field اللي مقداره dE ليش دته dE
+
+724
+00:54:24,740 --> 00:54:31,820
+شباب؟ لأنه بس لعنصر بس لعنصر dE due to one of
+
+725
+00:54:31,820 --> 00:54:35,500
+these element إذا هذي dE لواحد بس لعنصر مش لكل
+
+726
+00:54:35,500 --> 00:54:39,480
+الروف ديرماها الكوب a distance x والمسافة انا
+
+727
+00:54:39,480 --> 00:54:45,530
+اعتبرتها x from the point is هى قانوني كبديل Q
+
+728
+00:54:45,530 --> 00:54:51,650
+وحطيت DQ على X تربيع فى مشكلة؟ اذا هذه المجلة مين؟
+
+729
+00:54:52,070 --> 00:54:55,590
+لعنصر واحد فبالخطوة التالية ايش بقولك بقولك كامل
+
+730
+00:54:55,590 --> 00:54:58,870
+بس قبل ما تكامل انت باهي ال directions صح ولا لأ
+
+731
+00:54:58,870 --> 00:55:02,830
+اذا في عندك تحليل تحليل سيني لحال وصادي لحال مظبوط
+
+732
+00:55:02,830 --> 00:55:06,410
+كيف بدي اعرف بقولك طب انا كل العراس اللي لهم نفس
+
+733
+00:55:06,410 --> 00:55:09,310
+الاتجاه هو اللي فيه واحد سيني واحد صادي خلينا نجرب
+
+734
+00:55:09,310 --> 00:55:13,030
+احنا وياكم انا اخترت عنصر لو ايجي واحد غيري بدي
+
+735
+00:55:13,030 --> 00:55:16,470
+اختاره مش هيختار نفس عنصره صح ولا لأ هيختار عنصر
+
+736
+00:55:16,470 --> 00:55:21,270
+لأ ابعد اقرب لو انت بتديكم نص دقيقةوكل واحد يتخيله
+
+737
+00:55:21,270 --> 00:55:26,930
+عنصر مختلف ويجيب لي مجال اتجاهي كيف هيطلع الاتجاه؟
+
+738
+00:55:26,930 --> 00:55:33,530
+في واحد ايجي ع باله عنصر اتجاه السهم هيكون معكوس
+
+739
+00:55:33,530 --> 00:55:42,010
+او طالع صاضي في مجال اذا احكي لا
+
+740
+00:55:42,010 --> 00:55:48,030
+هو line بس هو دخلله عشان يبين مالوش ثمكبالظبط هو
+
+741
+00:55:48,030 --> 00:55:54,550
+line اتبره line في أي عنصر هيكون مش باتجاه
+
+742
+00:55:54,550 --> 00:55:58,990
+negative x axis فش .. اذا انا في الآخر انا بجمع كل
+
+743
+00:55:58,990 --> 00:56:02,090
+هالمجالات مش انا في الآخر بجمع كل هالمجالات كل
+
+744
+00:56:02,090 --> 00:56:06,800
+المجالات بنفس الاتجاه في مشكلة كامللأ طب خلينا
+
+745
+00:56:06,800 --> 00:56:10,340
+نجرب عشان بس انا ديتكم نص دقيقة ومفروض اتخيلتوها
+
+746
+00:56:10,340 --> 00:56:14,400
+خلينا نقول note that each element انا اخترت
+
+747
+00:56:14,400 --> 00:56:18,320
+element لكن كل عنصر produces a field in the
+
+748
+00:56:18,320 --> 00:56:22,760
+negative x axis كل العناصر بتدي نفس الاتجاه and so
+
+749
+00:56:22,760 --> 00:56:25,540
+we can integrate simply خلينا نجرب العناصر لو انا
+
+750
+00:56:25,540 --> 00:56:28,100
+اخترت العناصر هذا تلعب على الرسم بالظبط لو اخترت
+
+751
+00:56:28,100 --> 00:56:34,120
+انا العنصر هاي العنصر
+
+752
+00:56:34,120 --> 00:56:37,830
+كيف اتجاهه؟نفس الشيء ولا لا؟ اي عنصر؟ طب كمان
+
+753
+00:56:37,830 --> 00:56:40,990
+عنصر؟
+
+754
+00:56:40,990 --> 00:56:45,210
+برضه نفس العملية؟ انا اختارت 3 عنصر طبعا انتوا لو
+
+755
+00:56:45,210 --> 00:56:48,570
+اختارتم 100 عنصر بس دوركم عناس الصح مش واحد يقولي
+
+756
+00:56:48,570 --> 00:56:53,910
+بدي اجيب عنصر هنا اجيبه هنا من فحين في عنصر هو؟هذا
+
+757
+00:56:53,910 --> 00:56:57,490
+ليس رد .. انا شو المشهور عند الرد؟ منع العناص اللي
+
+758
+00:56:57,490 --> 00:57:00,470
+بيكون منها لها؟ مافيش عناص اللي بيقول هنا صارت هيك
+
+759
+00:57:00,470 --> 00:57:04,210
+و تعالي نحلل؟ لا العناص اللي بيكون جاي من وين؟ من
+
+760
+00:57:04,210 --> 00:57:08,990
+ال رد تمام أي أنصر صح هديك مجال باتجاه ال negative
+
+761
+00:57:08,990 --> 00:57:12,610
+x axis إذا أنت قاعد بتجيب شغلات scalars و كأنها
+
+762
+00:57:12,610 --> 00:57:16,930
+كلها خمسة و تلاتة و أربعة و اتنين كلهم نقص I نقص I
+
+763
+00:57:16,930 --> 00:57:20,030
+نقص I اشبههم عادي كامل مافيش مشكلة إذا نستطيع
+
+764
+00:57:20,030 --> 00:57:21,750
+نحفزه كامل
+
+765
+00:57:25,820 --> 00:57:31,320
+طلعت K ساكروهم هالجوالات طلعت K برا عارفين ليش
+
+766
+00:57:31,320 --> 00:57:35,220
+بتطلع كده دي Q على X تربيع واحد يقول يا وردي مش
+
+767
+00:57:35,220 --> 00:57:40,680
+هالو أخدناه في توجيهي نقص واحد على X بنفع لأ لإن
+
+768
+00:57:40,680 --> 00:57:46,900
+دي Q هي تحت X إذا إيش بدي أسوي؟ بدي علاقة بين Q و
+
+769
+00:57:46,900 --> 00:57:50,940
+X عشان كده ادي لكم ال charge instancesلـ charge
+
+770
+00:57:50,940 --> 00:57:57,420
+densities هي اللي بتربط لتشحنات مع الأبعاد الأبعاد
+
+771
+00:57:57,420 --> 00:58:01,640
+لا طول لا مساحة لا حجم ماتفرجش معايا expressing dq
+
+772
+00:58:01,640 --> 00:58:06,600
+in terms of the charge density لامده فجالي لامده
+
+773
+00:58:06,600 --> 00:58:12,060
+بتسوي dq على dl ذاكرينها؟ dl هي dx الآن فصلت لامده
+
+774
+00:58:12,060 --> 00:58:17,370
+بتسوي dq على dxأذا DQ بالثاني Lambda DL اللي هي
+
+775
+00:58:17,370 --> 00:58:23,570
+Lambda DX تمام؟ حلت المشكلة بدل DQ صار DX ولا لأ؟
+
+776
+00:58:23,570 --> 00:58:27,810
+صار DX وفي المقام X تربيع وصارت العملية كالتالية
+
+777
+00:58:27,810 --> 00:58:32,490
+طلعت أنا Lambda برة ليش Lambda برة؟ لأنه في المثال
+
+778
+00:58:32,490 --> 00:58:36,210
+Gallery uniformly distributed تذكرين في المثال؟ في
+
+779
+00:58:36,210 --> 00:58:42,050
+موضعيات السؤال شباب أرجع للمثال نفسه أنا ماوقفتش
+
+780
+00:58:42,050 --> 00:58:48,910
+عليهاطلعوا فوق a rod of length L lying along the x
+
+781
+00:58:48,910 --> 00:58:53,750
+-axis is uniformly charged إذا الشحنات الموزعة
+
+782
+00:58:53,750 --> 00:58:57,030
+بانتظام عشان يقولي إذا بتستخدم لامدة لامدة ثابتة
+
+783
+00:58:57,030 --> 00:59:00,170
+إذا بتستخدم سيجما سيجما ثابتة إذا بتستخدم رو رو
+
+784
+00:59:00,170 --> 00:59:03,930
+ثابتة إذا كلمة uniformly distributed بيكون منصوص
+
+785
+00:59:03,930 --> 00:59:07,090
+عليها نص واضح في المثال وفي السؤال تمام
+
+786
+00:59:17,680 --> 00:59:22,400
+نجي لحدود التكامل شباب في الآخر مش المتغير اللي
+
+787
+00:59:22,400 --> 00:59:28,100
+عندي شباب عايش بكامل أنا على X مش هي X هذه مش X هي
+
+788
+00:59:28,100 --> 00:59:34,920
+المسافة بين العنصر والنقطة بكامل يعني بأجمع
+
+789
+00:59:34,920 --> 00:59:42,180
+المجالات الكهربائية من جميع الأعناصر ال رد له عنصر
+
+790
+00:59:42,180 --> 00:59:46,920
+ولا عدد عناصرطب العناصر محصورة من مكان لمكان ولا
+
+791
+00:59:46,920 --> 00:59:55,320
+لأ؟ أول عنصر جديش X تبعتها D صح ولا لأ؟ و آخر عنصر
+
+792
+00:59:55,320 --> 01:00:00,240
+جديش X تبعتها D زاد L إذا من هنا بحدد حدود التكامل
+
+793
+01:00:00,240 --> 01:00:05,020
+بعد كده إذا خربطت في التكامل بسامحك بس حطلي حدود
+
+794
+01:00:05,020 --> 01:00:08,140
+التكامل صح ماعرفتش الكامل أنا مسامحك تقريبا ال
+
+795
+01:00:08,140 --> 01:00:12,330
+calculus هم اللي بيحسبوكأنا مش معنى انك كيف تتكامل
+
+796
+01:00:12,330 --> 01:00:15,630
+اظن ان ال calculus ده كمان شوية بتشوفه 100 ألف نوع
+
+797
+01:00:15,630 --> 01:00:18,270
+في التكاملات كيف تعرفوا انها تتكاملات فشغلوا
+
+798
+01:00:18,270 --> 01:00:24,110
+يتعاملوا ال calculus بيطلعوا زمتكم منها هم بتكفروا
+
+799
+01:00:24,110 --> 01:00:27,190
+و بيكفوا و بيزيدوا تمام انا التكامل مش معنى دي
+
+800
+01:00:27,190 --> 01:00:30,450
+كتير وان كانت التكاملات سهلة تمام دي x على x
+
+801
+01:00:30,450 --> 01:00:35,130
+تربيعيش تكاملها شباب سالب واحد على x هذه سهلة تمام
+
+802
+01:00:35,130 --> 01:00:36,170
+طلعتها
+
+803
+01:00:39,620 --> 01:00:43,920
+سالب واحد عليكسه عوض مش بنعوض فى الفوق بعدين سالب
+
+804
+01:00:43,920 --> 01:00:50,000
+اللى تحت عوضنا صار واحد على L زي ال D ناقص واحد
+
+805
+01:00:50,000 --> 01:00:55,780
+على D جمع كسور اعتيادية بقدر اطلحها طلعت هيك معايا
+
+806
+01:00:57,000 --> 01:01:01,980
+D و L زي ال D و Lambda في L هذه شباب طبعا لما أتي
+
+807
+01:01:01,980 --> 01:01:05,460
+أطلحها هذه L زي ال D وهذه D وبالتالي لما أتي
+
+808
+01:01:05,460 --> 01:01:08,260
+أجمعهم L زي ال D نقص D بتروح ال D مع ال D بتصير
+
+809
+01:01:08,260 --> 01:01:12,860
+عندك L هذه Lambda في L طب Lambda في L Lambda في
+
+810
+01:01:12,860 --> 01:01:17,160
+طول و طول كله بتديني الشحنة الكلية ولا لأ اذا انا
+
+811
+01:01:17,160 --> 01:01:18,820
+بتوقع انه
+
+812
+01:01:21,210 --> 01:01:28,390
+لمدة L بتساوي Q طب عن طريق الجواب خلاص هي جواب KQ
+
+813
+01:01:28,390 --> 01:01:31,890
+على D زاد L شايفين النقطة هذيك اللي احنا بدنا نجيب
+
+814
+01:01:31,890 --> 01:01:38,910
+عندها اللي بتبعد مسافة D لو هذه النقطة توصلناها
+
+815
+01:01:38,910 --> 01:01:44,230
+لعند المجلس التشريعي النقطة كيف يصير الرد
+
+816
+01:01:44,230 --> 01:01:46,750
+بالنسبالكم؟ لو انت عند المجلس التشريعي و بدك تشوف
+
+817
+01:01:46,750 --> 01:01:51,380
+هذه الرد كيف تشوفه؟المفروض تشوفه نقطة صح ولا لأ؟
+
+818
+01:01:51,380 --> 01:01:53,840
+طب إذا أنا بدى شوفه نقطة المفروض قانون النقطة
+
+819
+01:01:53,840 --> 01:01:58,960
+ينطبق عليه هيك المنطقة إذا صار نقطة طب النقطة اللي
+
+820
+01:01:58,960 --> 01:02:02,080
+لها قانون اللي لها ليش قانون؟ طب خليني أجرب بصرف
+
+821
+01:02:02,080 --> 01:02:07,460
+معانا ولا لأ؟ لما أنا أبعد عن الرد بصير نقطة في
+
+822
+01:02:07,460 --> 01:02:11,990
+هذه الحالة دي إيش بيصير مقارنتنا بإلم؟أكبر كتير،
+
+823
+01:02:11,990 --> 01:02:16,390
+مظبوط ولا لأ؟ لما أنا أبعد عن الرد، يعني دي صارت
+
+824
+01:02:16,390 --> 01:02:23,700
+كبيرة و الرد صغيرطيب اتطلعوا يا شباب هنا لو كانت D
+
+825
+01:02:23,700 --> 01:02:27,720
+كبيرة ايش صارت في ال L؟ L صارت دينار و D مليون
+
+826
+01:02:27,720 --> 01:02:33,440
+دينار روحت ال L ايش بصي في تحت D و جنبها Gmand D؟
+
+827
+01:02:33,440 --> 01:02:38,920
+ايش صارت؟ D تربية صار القانون KQ على D تربية يعني
+
+828
+01:02:38,920 --> 01:02:44,550
+على أر تربية هذا قانون النقطة فهو صحاذا صح زي ما
+
+829
+01:02:44,550 --> 01:02:48,730
+الواقع بيقول لما تبقى بصير نقطة لازم لما اطبق هذا
+
+830
+01:02:48,730 --> 01:02:54,870
+المبدأ قانون النقطة يرجع وهيرجع صحيح و لا لأ مافيش
+
+831
+01:02:54,870 --> 01:02:57,830
+اي مشكلة ابني اعملها انا عاملها و لا مش عاملها شوف
+
+832
+01:02:57,830 --> 01:03:04,570
+اه مش هذا انا عاملها علشان ما .. now
+
+833
+01:03:07,290 --> 01:03:13,170
+FB is far away راحت عن مجلس الشريعي هناك from the
+
+834
+01:03:13,170 --> 01:03:17,090
+road يعني دي اكتر كتير من الهي معناه تبعيدة then
+
+835
+01:03:17,090 --> 01:03:21,130
+we have ايه زي ال D صارت دي صح ولا المليون والدنار
+
+836
+01:03:21,130 --> 01:03:24,530
+راح الدنار وظال المليون اللي هي ال D صار القانون
+
+837
+01:03:24,530 --> 01:03:30,550
+KQ على D تربيعthat is we recover بنعيد the result
+
+838
+01:03:30,550 --> 01:03:34,290
+of the pointed charge زي ما المفروض أتوقع اذا we
+
+839
+01:03:34,290 --> 01:03:38,430
+recover the point the result of the pointed charge
+
+840
+01:03:38,430 --> 01:03:41,670
+as expected وهذا اللازم يكون وإلا يكون جوابي غلط
+
+841
+01:03:41,670 --> 01:03:47,250
+أو في عدم منطقية في الكلام تمام شباب احكي ليش قولي
+
+842
+01:03:47,250 --> 01:03:54,150
+انا عايش ليش قولي ايه تمام شباب ما زال في charge
+
+843
+01:03:54,150 --> 01:04:00,040
+distributionبدي أجسم لعناصر أهم حاجة العنصر إذا
+
+844
+01:04:00,040 --> 01:04:02,580
+عرفت تجيبه point of charge يعطيك العافية point of
+
+845
+01:04:02,580 --> 01:04:05,720
+charge له قانون بتكاشي إياه point of charge بدي
+
+846
+01:04:05,720 --> 01:04:09,180
+يكون العنصر بتاعه في مجاله هذا الاصل بعد كده جيب
+
+847
+01:04:09,180 --> 01:04:14,100
+مجال لأحد العناصر بعد كده كامل وانت بتتعامل مع
+
+848
+01:04:14,100 --> 01:04:17,960
+vectors مش مع scalars تمام واضح؟ لما كنا نتعامل مع
+
+849
+01:04:17,960 --> 01:04:19,660
+ال moment of inertia فيزيائي في ال moment of
+
+850
+01:04:19,660 --> 01:04:23,440
+inertia كانت scalar وماكناش نواجه هالمشكلة تمام
+
+851
+01:04:33,230 --> 01:04:39,810
+أحكي ممكن تتعامل معه عبارة عن قطعتين طبعا في
+
+852
+01:04:39,810 --> 01:04:43,210
+الأمثلة كتير هناخدها طبعا شباب هذا الموضوع إذا
+
+853
+01:04:43,210 --> 01:04:46,410
+الشكل شوية عفش ماجداش يتعامل معه لأن مش سهلة
+
+854
+01:04:46,410 --> 01:04:50,550
+وبالتالي الأمثلة هتكون أمثلة معروفة و common لأنه
+
+855
+01:04:50,550 --> 01:04:55,780
+إذا المثال اختلفالإجابة بتتغير جذريًا، طلعوا أنت
+
+856
+01:04:55,780 --> 01:04:59,320
+النقطة اللي أنا حطيتها، لو النقطة اختلفت، الإجابة
+
+857
+01:04:59,320 --> 01:05:03,690
+بتصعب.بتصعد بيصير في عندي directions مختلف
+
+858
+01:05:03,690 --> 01:05:07,090
+وبالتالي هانواني في بعض الشغلات مطلوبة وفي بعض
+
+859
+01:05:07,090 --> 01:05:09,870
+الشغلات مش مطلوبة يعني في شغلات سهلة تتعامل معها
+
+860
+01:05:09,870 --> 01:05:13,110
+وفي أسئلة في الكتاب على هذا الموضوع أما أنا بهمني
+
+861
+01:05:13,110 --> 01:05:17,970
+أني أجسم العناصر والعنصر جاي من الكل جزء من الأقول
+
+862
+01:05:17,970 --> 01:05:22,310
+واحنا زمان كنا نحكي في فيزيا ألف أنه مستحيل يكون
+
+863
+01:05:22,310 --> 01:05:26,210
+عندك كوم بطيخ أو كوم بردجان تحط إيدك تطلع تفاحة
+
+864
+01:05:26,510 --> 01:05:30,590
+مفكر كوم برودجان صح ولا لأ؟ لأنه لازم يكون العنصر
+
+865
+01:05:30,590 --> 01:05:37,210
+من جنس الكل انت عندك رد بدي يكون العنصر في الرد مش
+
+866
+01:05:37,210 --> 01:05:40,650
+يجيبليها في مكان تاني ولا تقتنعليها لأ من الكوم
+
+867
+01:05:40,650 --> 01:05:43,570
+يجيبليها من الكوم نفسه وبالتالي العراصر بتكون
+
+868
+01:05:43,570 --> 01:05:47,910
+معروفة مين بديه يسأل اي سؤال تمام؟ طبعا احنا لسه
+
+869
+01:05:47,910 --> 01:05:50,230
+ان شاء الله يوم التلاتة زي ما احنا مخططين نخلص ال
+
+870
+01:05:50,230 --> 01:05:53,770
+chapter عشان نعمل test بسيط في اخر محاضرة على ال
+
+871
+01:05:53,770 --> 01:05:58,540
+quizإن شاء الله أه المفروض أنه يوم التلاتة أخلص ال
+
+872
+01:05:58,540 --> 01:06:02,380
+chapter وبالتالي بيفتح ال quiz المفروض بدي أفتح
+
+873
+01:06:02,380 --> 01:06:05,080
+يوم الأربعة في الليل مخطط إذا خلصت يوم التلاتة
+
+874
+01:06:05,080 --> 01:06:07,780
+وهذا المفروض أن أخلص ساعتها بيفتح يوم الأربعة في
+
+875
+01:06:07,780 --> 01:06:11,500
+الليل عشان يكون يوم الأربعة أنت عندك محاضرات تاخد
+
+876
+01:06:11,500 --> 01:06:15,960
+free ويوم الأربعة في الليل الساعة اتناشربسكر عادي
+
+877
+01:06:15,960 --> 01:06:18,960
+بيشوف انا وياك وقت ايش بيسكر يا السبت بس خليه يسكر
+
+878
+01:06:18,960 --> 01:06:23,000
+السبت مشي الصبح اخر نهار عشان تكون خميس طول النهار
+
+879
+01:06:23,000 --> 01:06:26,120
+انت في دارك و جبعة في دارك و اللي مشي في دارك يوم
+
+880
+01:06:26,120 --> 01:06:28,700
+السبت تيجي على الجامعة اذا صار عنده مشكلة كان هبقى
+
+881
+01:06:28,700 --> 01:06:32,640
+جاطعة ان اتخرب زي امبارح و اول امبارح لأ امبارح و
+
+882
+01:06:32,640 --> 01:06:37,380
+اول امبارح اه انه تيجي دايما انا بخلي يوم عمل يكون
+
+883
+01:06:37,380 --> 01:06:42,460
+جوا الجامعة عشان لو صار طارق اول تجي لتشوفنيو
+
+884
+01:06:42,460 --> 01:06:46,580
+بعدين يكون متاح عندك computers جوا الجامعة لأنه مش
+
+885
+01:06:46,580 --> 01:06:48,500
+مضفارة كل واحد يكون عنده net في داره
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..836619ce1ff72f287efda936987088d52fca3fac
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UTu--lpUDzQ_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2682, "start": 10.14, "end": 26.82, "text": "بنبدأ بسم الله الرحمن الرحيم ونستأنف المحاضرة الماضية بدينا بتعريف المجال الكهربائي the electric field واتفقنا على ان for every point in charge or for every charge", "tokens": [3555, 1863, 44510, 10721, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 1863, 14851, 33456, 5172, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 47525, 1829, 8315, 39894, 3615, 16572, 5172, 9673, 7435, 6027, 33251, 3224, 25513, 16373, 1829, 264, 5210, 2519, 4032, 9307, 5172, 4587, 8315, 15844, 16472, 337, 633, 935, 294, 4602, 420, 337, 633, 4602], "avg_logprob": -0.19908854439854623, "compression_ratio": 1.4879518072289157, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 10.14, "end": 11.14, "word": "بنبدأ", "probability": 0.60638427734375}, {"start": 11.14, "end": 11.34, "word": " بسم", "probability": 0.6640625}, {"start": 11.34, "end": 11.5, "word": " الله", "probability": 0.94873046875}, {"start": 11.5, "end": 11.82, "word": " الرحمن", "probability": 0.9845377604166666}, {"start": 11.82, "end": 12.22, "word": " الرحيم", "probability": 0.9908854166666666}, {"start": 12.22, "end": 12.94, "word": " ونستأنف", "probability": 0.84521484375}, {"start": 12.94, "end": 13.88, "word": " المحاضرة", "probability": 0.9730224609375}, {"start": 13.88, "end": 15.38, "word": " الماضية", "probability": 0.9650065104166666}, {"start": 15.38, "end": 16.12, "word": " بدينا", "probability": 0.741943359375}, {"start": 16.12, "end": 17.02, "word": " بتعريف", "probability": 0.99072265625}, {"start": 17.02, "end": 18.0, "word": " المجال", "probability": 0.9777018229166666}, {"start": 18.0, "end": 19.02, "word": " الكهربائي", "probability": 0.9763671875}, {"start": 19.02, "end": 19.52, "word": " the", "probability": 0.394287109375}, {"start": 19.52, "end": 20.02, "word": " electric", "probability": 0.9091796875}, {"start": 20.02, "end": 20.86, "word": " field", "probability": 0.9287109375}, {"start": 20.86, "end": 22.88, "word": " واتفقنا", "probability": 0.9255859375}, {"start": 22.88, "end": 23.08, "word": " على", "probability": 0.8017578125}, {"start": 23.08, "end": 23.34, "word": " ان", "probability": 0.6787109375}, {"start": 23.34, "end": 23.74, "word": " for", "probability": 0.6474609375}, {"start": 23.74, "end": 24.5, "word": " every", "probability": 0.7900390625}, {"start": 24.5, "end": 25.0, "word": " point", "probability": 0.75048828125}, {"start": 25.0, "end": 25.18, "word": " in", "probability": 0.26953125}, {"start": 25.18, "end": 25.58, "word": " charge", "probability": 0.98291015625}, {"start": 25.58, "end": 25.82, "word": " or", "probability": 0.60791015625}, {"start": 25.82, "end": 26.0, "word": " for", "probability": 0.83642578125}, {"start": 26.0, "end": 26.3, "word": " every", "probability": 0.806640625}, {"start": 26.3, "end": 26.82, "word": " charge", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 2, "seek": 5362, "start": 27.56, "end": 53.62, "text": "We have its own electric field الـ electric field عرفناه على انه if the electric force exerted on a positive small tested charge divided by the magnitude of this tested charge بمعنى الميال الكهربائي عُرف بدلالة القوة الكهربائية التي تؤثر على شحنة", "tokens": [4360, 362, 1080, 1065, 5210, 2519, 2423, 39184, 5210, 2519, 6225, 28480, 8315, 3224, 15844, 16472, 3224, 498, 264, 5210, 3464, 31941, 292, 322, 257, 3353, 1359, 8246, 4602, 6666, 538, 264, 15668, 295, 341, 8246, 4602, 4724, 2304, 3615, 1863, 7578, 9673, 1829, 6027, 33251, 3224, 25513, 16373, 1829, 6225, 10859, 28480, 47525, 1211, 6027, 3660, 25062, 2407, 3660, 33251, 3224, 25513, 16373, 10632, 38392, 6055, 33604, 49115, 15844, 13412, 5016, 1863, 3660], "avg_logprob": -0.21770834048589072, "compression_ratio": 1.5507246376811594, "no_speech_prob": 6.556510925292969e-07, "words": [{"start": 27.56, "end": 27.88, "word": "We", "probability": 0.04937744140625}, {"start": 27.88, "end": 28.36, "word": " have", "probability": 0.9033203125}, 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الأخضر", "probability": 0.848388671875}], "temperature": 1.0}, {"id": 17, "seek": 43199, "start": 402.77, "end": 431.99, "text": "لو جلبت Q الأصلية لـ negative هينقلب السهم الأخضر و ينعكس اتجاهه صح ولا لأ بقول it is clear that if the charge Q is negative it is .. it is .. ال charge ماليش دعوة فيها دايما positive اتفقنا انا اللي مقدر اتحكر فيه هو Q بقول if Q is negative the direction of E will be reverse يعني لو هذه صارت زرقة بيصير تجاذبية و بيصير الخط الأخضر صار تجاذبي أو انعكس", "tokens": [1211, 2407, 10874, 46152, 2655, 1249, 16247, 36520, 10632, 5296, 39184, 3671, 8032, 9957, 4587, 46152, 21136, 16095, 16247, 9778, 11242, 2288, 4032, 7251, 1863, 3615, 4117, 3794, 1975, 2655, 7435, 40294, 3224, 20328, 5016, 49429, 5296, 10721, 4724, 39648, 309, 307, 1850, 300, 498, 264, 4602, 1249, 307, 3671, 309, 307, 4386, 309, 307, 4386, 2423, 4602, 19446, 20292, 8592, 11778, 3615, 2407, 3660, 8978, 11296, 11778, 47302, 15042, 3353, 1975, 2655, 5172, 4587, 8315, 1975, 8315, 13672, 1829, 3714, 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0.7291666666666666}, {"start": 418.39, "end": 418.81, "word": " اتحكر", "probability": 0.8162841796875}, {"start": 418.81, "end": 419.15, "word": " فيه", "probability": 0.986083984375}, {"start": 419.15, "end": 419.39, "word": " هو", "probability": 0.97900390625}, {"start": 419.39, "end": 419.67, "word": " Q", "probability": 0.90869140625}, {"start": 419.67, "end": 420.51, "word": " بقول", "probability": 0.96044921875}, {"start": 420.51, "end": 420.77, "word": " if", "probability": 0.93359375}, {"start": 420.77, "end": 421.23, "word": " Q", "probability": 0.93017578125}, {"start": 421.23, "end": 421.97, "word": " is", "probability": 0.958984375}, {"start": 421.97, "end": 422.55, "word": " negative", "probability": 0.97314453125}, {"start": 422.55, "end": 423.03, "word": " the", "probability": 0.84228515625}, {"start": 423.03, "end": 423.59, "word": " direction", "probability": 0.97802734375}, {"start": 423.59, "end": 423.99, "word": " of", "probability": 0.97314453125}, {"start": 423.99, "end": 424.43, "word": " E", "probability": 0.98095703125}, {"start": 424.43, "end": 424.95, "word": " will", "probability": 0.916015625}, {"start": 424.95, "end": 425.21, "word": " be", "probability": 0.95703125}, {"start": 425.21, "end": 425.57, "word": " reverse", "probability": 0.448486328125}, {"start": 425.57, "end": 425.77, "word": " يعني", "probability": 0.93798828125}, {"start": 425.77, "end": 425.93, "word": " لو", "probability": 0.96533203125}, {"start": 425.93, "end": 426.13, "word": " هذه", "probability": 0.7080078125}, {"start": 426.13, "end": 426.55, "word": " صارت", "probability": 0.95068359375}, {"start": 426.55, "end": 427.45, "word": " زرقة", "probability": 0.7003580729166666}, {"start": 427.45, "end": 427.97, "word": " بيصير", "probability": 0.7779541015625}, {"start": 427.97, "end": 428.55, "word": " تجاذبية", "probability": 0.92548828125}, {"start": 428.55, "end": 428.65, "word": " و", "probability": 0.7607421875}, {"start": 428.65, "end": 429.05, "word": " بيصير", "probability": 0.88037109375}, {"start": 429.05, "end": 429.57, "word": " الخط", "probability": 0.91064453125}, {"start": 429.57, "end": 430.11, "word": " الأخضر", "probability": 0.9852294921875}, {"start": 430.11, "end": 430.61, "word": " صار", "probability": 0.85546875}, {"start": 430.61, "end": 431.13, "word": " تجاذبي", "probability": 0.94189453125}, {"start": 431.13, "end": 431.41, "word": " أو", "probability": 0.81103515625}, {"start": 431.41, "end": 431.99, "word": " انعكس", "probability": 0.9693603515625}], "temperature": 1.0}, {"id": 18, "seek": 45123, "start": 432.59, "end": 451.23, "text": "و من هنا افهمت انه لما كان positive كان ال direction outward from that charge و لما كانت Q نيجاتيب كان inward from that charge فبقولي if Q is positive the direction of E is outward from that charge و هنشرحها و هنعمل حلقة مثلها هنطبقها", "tokens": [2407, 9154, 34105, 1975, 5172, 16095, 2655, 16472, 3224, 5296, 15042, 25961, 3353, 25961, 2423, 3513, 26914, 490, 300, 4602, 4032, 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"end": 441.57, "word": " نيجاتيب", "probability": 0.6994222005208334}, {"start": 441.57, "end": 442.07, "word": " كان", "probability": 0.93798828125}, {"start": 442.07, "end": 442.99, "word": " inward", "probability": 0.81396484375}, {"start": 442.99, "end": 443.21, "word": " from", "probability": 0.61767578125}, {"start": 443.21, "end": 443.37, "word": " that", "probability": 0.9345703125}, {"start": 443.37, "end": 443.77, "word": " charge", "probability": 0.9794921875}, {"start": 443.77, "end": 444.51, "word": " فبقولي", "probability": 0.6873779296875}, {"start": 444.51, "end": 444.65, "word": " if", "probability": 0.44970703125}, {"start": 444.65, "end": 444.87, "word": " Q", "probability": 0.72119140625}, {"start": 444.87, "end": 445.05, "word": " is", "probability": 0.890625}, {"start": 445.05, "end": 445.65, "word": " positive", "probability": 0.9482421875}, {"start": 445.65, "end": 446.05, "word": " the", "probability": 0.463134765625}, {"start": 446.05, "end": 446.53, "word": " direction", "probability": 0.97021484375}, {"start": 446.53, "end": 446.81, "word": " of", "probability": 0.96240234375}, {"start": 446.81, "end": 447.01, "word": " E", "probability": 0.9755859375}, {"start": 447.01, "end": 447.27, "word": " is", "probability": 0.9443359375}, {"start": 447.27, "end": 447.79, "word": " outward", "probability": 0.810546875}, {"start": 447.79, "end": 448.17, "word": " from", "probability": 0.86865234375}, {"start": 448.17, "end": 448.37, "word": " that", "probability": 0.9169921875}, {"start": 448.37, "end": 448.61, "word": " charge", "probability": 0.978515625}, {"start": 448.61, "end": 448.71, "word": " و", "probability": 0.70068359375}, {"start": 448.71, "end": 449.39, "word": " هنشرحها", "probability": 0.871240234375}, {"start": 449.39, "end": 449.71, "word": " و", "probability": 0.95263671875}, {"start": 449.71, "end": 450.01, "word": " هنعمل", "probability": 0.7220458984375}, {"start": 450.01, "end": 450.27, "word": " حلقة", "probability": 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{"start": 461.82, "end": 462.1, "word": " ببدأ", "probability": 0.9475911458333334}, {"start": 462.1, "end": 462.2, "word": " من", "probability": 0.99267578125}, {"start": 462.2, "end": 463.0, "word": " النقطة", "probability": 0.9558919270833334}, {"start": 463.0, "end": 463.18, "word": " و", "probability": 0.7841796875}, {"start": 463.18, "end": 463.8, "word": " برتطلع", "probability": 0.79208984375}, {"start": 463.8, "end": 464.18, "word": " في", "probability": 0.94775390625}, {"start": 464.18, "end": 464.52, "word": " اتجاه", "probability": 0.971435546875}, {"start": 464.52, "end": 464.94, "word": " مجالي", "probability": 0.983642578125}, {"start": 464.94, "end": 465.02, "word": " و", "probability": 0.5732421875}, {"start": 465.02, "end": 465.12, "word": " انا", "probability": 0.765380859375}, {"start": 465.12, "end": 465.48, "word": " اروح", "probability": 0.8916015625}, {"start": 465.48, "end": 466.12, "word": " اطلع", "probability": 0.9571533203125}, {"start": 466.12, "end": 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مضايركش", "probability": 0.7005859375}, {"start": 483.27, "end": 483.73, "word": " نخلصت", "probability": 0.8310546875}, {"start": 483.73, "end": 484.07, "word": " منه", "probability": 0.98583984375}, {"start": 484.07, "end": 484.53, "word": " نحط", "probability": 0.9000651041666666}, {"start": 484.53, "end": 484.65, "word": " ع", "probability": 0.5087890625}, {"start": 484.65, "end": 485.05, "word": " الراسنا", "probability": 0.8380533854166666}, {"start": 485.05, "end": 485.57, "word": " ال", "probability": 0.82861328125}, {"start": 485.57, "end": 485.95, "word": " magnitude", "probability": 0.982421875}, {"start": 485.95, "end": 486.23, "word": " بدي", "probability": 0.901611328125}, {"start": 486.23, "end": 486.73, "word": " أحسبه", "probability": 0.964111328125}, {"start": 486.73, "end": 487.11, "word": " هذا", "probability": 0.826171875}, {"start": 487.11, "end": 487.61, "word": " القانون", "probability": 0.9806315104166666}, {"start": 487.61, "end": 488.45, "word": " مابدينيش", "probability": 0.7246907552083334}, {"start": 488.45, "end": 489.09, "word": " magnitude", "probability": 0.953125}, {"start": 489.09, "end": 489.67, "word": " بدي", "probability": 0.81640625}, {"start": 489.67, "end": 490.01, "word": " أخليه", "probability": 0.9022216796875}, {"start": 490.01, "end": 490.21, "word": " يديني", "probability": 0.7171223958333334}, {"start": 490.21, "end": 490.75, "word": " magnitude", "probability": 0.8671875}, {"start": 490.75, "end": 491.09, "word": " أديه", "probability": 0.6017252604166666}, {"start": 491.09, "end": 491.31, "word": " مليون", "probability": 0.78076171875}, {"start": 491.31, "end": 491.43, "word": " ال", "probability": 0.225830078125}, {"start": 491.43, "end": 491.71, "word": " vectors", "probability": 0.94287109375}, {"start": 491.71, "end": 491.85, "word": " و", "probability": 0.9296875}, {"start": 491.85, "end": 491.91, "word": " ال", "probability": 0.806640625}, {"start": 491.91, "end": 492.21, "word": " vectors", "probability": 0.53466796875}, {"start": 492.21, "end": 492.89, "word": " صح", "probability": 0.989013671875}, {"start": 492.89, "end": 493.03, "word": " ولا", "probability": 0.96533203125}, {"start": 493.03, "end": 493.29, "word": " لأ", "probability": 0.99169921875}], "temperature": 1.0}, {"id": 21, "seek": 51093, "start": 493.71, "end": 510.93, "text": "عشان يدّيني magnitude بدي أجيبني unit vector وهذا يجيبني magnitude معناته q ممنوع تكون سلبة ده تديني ال absolute value صح ولا لأ؟ اذا بيقوللي the electric field at a point to a group جمع هذا أخدناه لما يكون في عندي أكتر من مجال بدي أجمعهم", "tokens": [3615, 8592, 7649, 7251, 3215, 11703, 9957, 1829, 15668, 4724, 16254, 5551, 7435, 1829, 3555, 22653, 4985, 8062, 37037, 15730, 7251, 7435, 1829, 3555, 22653, 15668, 20449, 8315, 47395, 9505, 3714, 27842, 45367, 6055, 30544, 8608, 46152, 3660, 11778, 3224, 6055, 3215, 9957, 1829, 2423, 8236, 2158, 20328, 5016, 49429, 5296, 10721, 22807, 1975, 15730, 4724, 1829, 39648, 20292, 264, 5210, 2519, 412, 257, 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magnitudes are ready now بدي اكتبهم ك vectors دلوقتي E1 بدهاش تحليل E2 بدي احللها we have to resolve it into two components تمام بيقول لي in vector notation we have for E1 زي ما حكينا E1 سهل على العملية مجرد اني بكتب E1 equal to 3.9 10 to the power of 5 وحطي جنبها G عادي", "tokens": [6027, 39184, 732, 4944, 16451, 366, 1919, 586, 4724, 16254, 1975, 4117, 2655, 3555, 16095, 9122, 18875, 11778, 1211, 30543, 31371, 462, 16, 47525, 3224, 33599, 6055, 5016, 20292, 1211, 462, 17, 4724, 16254, 1975, 5016, 1211, 1211, 11296, 321, 362, 281, 14151, 309, 666, 732, 6677, 46811, 10943, 4724, 1829, 39648, 32239, 294, 8062, 24657, 321, 362, 337, 462, 16, 30767, 1829, 19446, 11331, 4117, 1829, 8315, 462, 16, 8608, 3224, 1211, 15844, 18863, 42213, 10632, 3714, 7435, 2288, 3215, 16472, 1829, 4724, 4117, 2655, 3555, 462, 16, 2681, 281, 805, 13, 24, 1266, 281, 264, 1347, 295, 1025, 4032, 5016, 9566, 1829, 10874, 1863, 3555, 11296, 460, 6225, 995, 16254], "avg_logprob": -0.2620298756962329, 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{"start": 979.75, "end": 979.81, "word": " ما", "probability": 0.9638671875}, {"start": 979.81, "end": 980.19, "word": " حكينا", "probability": 0.957275390625}, {"start": 980.19, "end": 980.45, "word": " E1", "probability": 0.9599609375}, {"start": 980.45, "end": 980.71, "word": " سهل", "probability": 0.90625}, {"start": 980.71, "end": 980.81, "word": " على", "probability": 0.33935546875}, {"start": 980.81, "end": 981.27, "word": " العملية", "probability": 0.9788411458333334}, {"start": 981.27, "end": 982.05, "word": " مجرد", "probability": 0.9835205078125}, {"start": 982.05, "end": 982.27, "word": " اني", "probability": 0.795654296875}, {"start": 982.27, "end": 982.59, "word": " بكتب", "probability": 0.937744140625}, {"start": 982.59, "end": 983.05, "word": " E1", "probability": 0.98095703125}, {"start": 983.05, "end": 983.59, "word": " equal", "probability": 0.40380859375}, {"start": 983.59, "end": 983.83, "word": " to", "probability": 0.40576171875}, {"start": 983.83, "end": 984.09, 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1007.24, "text": "التانية ماذا تفعل فيها؟ تحدد الزاوية المركبات تبعتها ها هدهم واحدة صينية موجبة والتانية صادية سالبة بدي زاوية فانا اخترت الزاوية هدا هي", "tokens": [6027, 2655, 7649, 10632, 3714, 45636, 995, 6055, 5172, 30241, 8978, 11296, 22807, 6055, 24401, 3215, 6024, 110, 995, 2407, 10632, 9673, 31747, 3555, 9307, 6055, 3555, 34268, 11296, 8032, 995, 8032, 3215, 16095, 36764, 24401, 3660, 20328, 9957, 10632, 3714, 29245, 49401, 16070, 2655, 7649, 10632, 20328, 18513, 10632, 8608, 6027, 49401, 4724, 16254, 30767, 995, 2407, 10632, 6156, 7649, 995, 1975, 46456, 43500, 6024, 110, 995, 2407, 10632, 8032, 28259, 39896], "avg_logprob": -0.3956925574992154, "compression_ratio": 1.7841726618705036, "no_speech_prob": 3.933906555175781e-06, "words": [{"start": 989.92, "end": 991.0, "word": "التانية", "probability": 0.646881103515625}, {"start": 991.0, "end": 991.2, "word": " ماذا", "probability": 0.576416015625}, {"start": 991.2, "end": 991.46, "word": " تفعل", "probability": 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"word": " صادية", "probability": 0.7520345052083334}, {"start": 1002.64, "end": 1003.66, "word": " سالبة", "probability": 0.8583984375}, {"start": 1003.66, "end": 1004.2, "word": " بدي", "probability": 0.59619140625}, {"start": 1004.2, "end": 1004.66, "word": " زاوية", "probability": 0.97216796875}, {"start": 1004.66, "end": 1005.22, "word": " فانا", "probability": 0.8258463541666666}, {"start": 1005.22, "end": 1005.56, "word": " اخترت", "probability": 0.802734375}, {"start": 1005.56, "end": 1006.66, "word": " الزاوية", "probability": 0.97587890625}, {"start": 1006.66, "end": 1006.94, "word": " هدا", "probability": 0.51611328125}, {"start": 1006.94, "end": 1007.24, "word": " هي", "probability": 0.73681640625}], "temperature": 1.0}, {"id": 43, "seek": 102858, "start": 1009.12, "end": 1028.58, "text": "إذا صارت E2 بيتساوي 1.8 x 5 cos θ minus 1.8 x 5 sin θ كيف بتجيب cos θ و sin θ الآن الزاوية بالتبادل بتساوي الزاوية هذه ولا لأ", "tokens": [28814, 15730, 20328, 9640, 2655, 462, 17, 4724, 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بطلعله ان شاء الله انا مليون صحيح ولا لأ؟ اذا العملية انا كيف بيتعامل معاه؟ بقول انا هذا ال child distribution", "tokens": [3555, 2655, 3615, 28480, 2423, 39184, 38, 23032, 3555, 45164, 5296, 3615, 8592, 25720, 39894, 3615, 28480, 2423, 39184, 38, 4724, 3794, 5551, 9566, 12610, 4724, 1829, 30544, 21542, 1211, 20328, 5016, 49429, 5296, 10721, 22807, 47525, 4117, 30767, 2304, 7649, 1975, 3215, 9957, 1829, 30767, 2304, 7649, 4724, 9566, 1211, 30241, 3224, 16472, 13412, 16606, 21984, 1975, 8315, 3714, 20292, 11536, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 1975, 15730, 18863, 42213, 10632, 1975, 8315, 9122, 33911, 4724, 36081, 3615, 10943, 1211, 20449, 40294, 22807, 4724, 39648, 1975, 8315, 23758, 2423, 1440, 7316], "avg_logprob": -0.24267577566206455, "compression_ratio": 1.7606382978723405, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2189.78, "end": 2190.18, "word": "بتعرف", "probability": 0.8160400390625}, {"start": 2190.18, "end": 2190.48, "word": " الـG", 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increment حلو نقول لكل عنصر من عناصر جديد شحنته DQ حلو الآن العنصر اللي انت اختارته مجاله بتاعه في جيبه بعرف اجيبه جيبه", "tokens": [28814, 15730, 14111, 28242, 44049, 38207, 24976, 3615, 1863, 9381, 2288, 7251, 10859, 9381, 3555, 6808, 4587, 20666, 39184, 35, 5296, 33456, 23758, 10874, 11622, 38207, 9154, 28242, 10874, 11622, 38207, 6156, 6027, 39184, 35, 31439, 26200, 11331, 1211, 2407, 8717, 39648, 5296, 28820, 18871, 9381, 2288, 9154, 18871, 33546, 2288, 10874, 16254, 3215, 13412, 5016, 29399, 3224, 413, 48, 11331, 1211, 2407, 6024, 48506, 18863, 1863, 9381, 2288, 13672, 1829, 16472, 2655, 1975, 46456, 9640, 47395, 3714, 7435, 6027, 3224, 39894, 45761, 3224, 8978, 10874, 1829, 3555, 3224, 45030, 28480, 1975, 7435, 1829, 3555, 3224, 10874, 1829, 3555, 3224], "avg_logprob": -0.239480190938062, "compression_ratio": 1.640625, "no_speech_prob": 0.0, "words": [{"start": 2319.38, "end": 2319.92, "word": "إذاً", "probability": 0.397705078125}, {"start": 2319.92, "end": 2320.04, "word": " 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E؟ اذا ما زلت تجيب ال DE كملها بتجيب ايه اللي بدك اياها؟ كامل؟ اذا بيقول ليه؟", "tokens": [4117, 10943, 1211, 1975, 2655, 5172, 4587, 8315, 3714, 7435, 6027, 18863, 9381, 2288, 10874, 16254, 8592, 22807, 10113, 6225, 8592, 7649, 6055, 7435, 1829, 3555, 462, 5296, 28820, 10632, 1975, 1829, 8592, 6055, 3794, 45865, 22807, 1975, 1829, 8592, 6055, 4117, 10943, 1211, 2423, 10113, 13412, 3555, 16758, 22807, 462, 37893, 462, 22807, 1975, 15730, 19446, 30767, 1211, 2655, 6055, 7435, 1829, 3555, 2423, 10113, 9122, 42213, 11296, 39894, 7435, 1829, 3555, 1975, 1829, 3224, 13672, 1829, 47525, 4117, 1975, 25528, 11296, 22807, 9122, 10943, 1211, 22807, 1975, 15730, 4724, 1829, 39648, 32239, 3224, 22807], "avg_logprob": -0.28898195876288657, "compression_ratio": 1.8205128205128205, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2364.91, "end": 2365.47, "word": "كامل", "probability": 0.7008870442708334}, {"start": 2365.47, "end": 2366.75, "word": " اتفقنا", "probability": 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the charge distribution to evaluate the total electric field due to the wall charge distribution كامل دي ايه بتطلع معاك ايه الكلية و انت هادي اللي بتسعقله مافيش اي مشكلة عندك ايه السفصار الشباب كبينه نعم تمه بيقولي بس انت بتقول انت بتكامل التكامل بيجمع scalars", "tokens": [12984, 1211, 5718, 104, 3660, 34051, 5551, 25513, 27884, 29538, 2721, 321, 13365, 670, 264, 4602, 7316, 281, 13059, 264, 3217, 5210, 2519, 3462, 281, 264, 2929, 4602, 7316, 9122, 10943, 1211, 11778, 1829, 1975, 1829, 3224, 39894, 9566, 1211, 3615, 20449, 995, 4117, 1975, 1829, 3224, 2423, 28820, 10632, 4032, 16472, 2655, 8032, 995, 16254, 13672, 1829, 39894, 3794, 3615, 4587, 43761, 19446, 41185, 8592, 1975, 1829, 37893, 28820, 3660, 43242, 4117, 1975, 1829, 3224, 21136, 5172, 9381, 9640, 25124, 3555, 16758, 9122, 3555, 9957, 3224, 8717, 25957, 46811, 3224, 4724, 1829, 39648, 1829, 4724, 3794, 16472, 2655, 39894, 39648, 16472, 2655, 39894, 4117, 10943, 1211, 16712, 4117, 10943, 1211, 4724, 1829, 7435, 2304, 3615, 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2604.38, "end": 2604.52, "word": " بين", "probability": 0.2218017578125}, {"start": 2604.52, "end": 2604.78, "word": " كتلة", "probability": 0.9918619791666666}, {"start": 2604.78, "end": 2604.92, "word": " و", "probability": 0.98876953125}, {"start": 2604.92, "end": 2605.32, "word": " طول", "probability": 0.9580078125}, {"start": 2605.32, "end": 2605.8, "word": " صح", "probability": 0.78857421875}, {"start": 2605.8, "end": 2605.96, "word": " ولا", "probability": 0.84814453125}, {"start": 2605.96, "end": 2606.6, "word": " لأ؟", "probability": 0.78125}, {"start": 2606.6, "end": 2607.12, "word": " هيمر", "probability": 0.7230631510416666}, {"start": 2607.12, "end": 2607.82, "word": " علينا", "probability": 0.96435546875}, {"start": 2607.82, "end": 2608.28, "word": " نفس", "probability": 0.997314453125}, {"start": 2608.28, "end": 2609.22, "word": " الشيء", "probability": 0.9435221354166666}, {"start": 2609.22, "end": 2609.66, "word": " بدل", "probability": 0.865966796875}, {"start": 2609.66, "end": 2611.12, "word": " DMDQ", "probability": 0.7522786458333334}, {"start": 2611.12, "end": 2612.1, "word": " بدي", "probability": 0.6519775390625}, {"start": 2612.1, "end": 2612.46, "word": " أنا", "probability": 0.76806640625}, {"start": 2612.46, "end": 2613.06, "word": " علاقة", "probability": 0.9869791666666666}, {"start": 2613.06, "end": 2613.4, "word": " بين", "probability": 0.94091796875}, {"start": 2613.4, "end": 2614.08, "word": " شحنة", "probability": 0.92919921875}, {"start": 2614.08, "end": 2614.18, "word": " و", "probability": 0.83740234375}, {"start": 2614.18, "end": 2614.84, "word": " أبعاد", "probability": 0.970458984375}], "temperature": 1.0}, {"id": 113, "seek": 264274, "start": 2615.42, "end": 2642.74, "text": "بين شحنة وأبعاد هذي بيسموها ال charge density كثافة لكن كثافة مش كتلة كثافة شحنة تمام ال charge density بيقولني when dealing with continuous charge distribution it is convenient to use the concept of charge density لازم يلزمك ال charge density", "tokens": [3555, 9957, 13412, 5016, 1863, 3660, 36725, 3555, 3615, 18513, 8032, 8848, 1829, 4724, 1829, 38251, 2407, 11296, 2423, 4602, 10305, 9122, 12984, 31845, 3660, 44381, 9122, 12984, 31845, 3660, 37893, 9122, 2655, 37977, 9122, 12984, 31845, 3660, 13412, 5016, 1863, 3660, 46811, 10943, 2423, 4602, 10305, 4724, 1829, 39648, 22653, 562, 6260, 365, 10957, 4602, 7316, 309, 307, 10851, 281, 764, 264, 3410, 295, 4602, 10305, 5296, 31377, 2304, 7251, 1211, 11622, 2304, 4117, 2423, 4602, 10305], "avg_logprob": -0.23200158454194852, "compression_ratio": 1.6580310880829014, "no_speech_prob": 0.0, "words": [{"start": 2615.42, "end": 2615.78, "word": "بين", "probability": 0.64599609375}, {"start": 2615.78, "end": 2616.26, "word": " شحنة", "probability": 0.875244140625}, {"start": 2616.26, "end": 2616.98, "word": " وأبعاد", "probability": 0.82720947265625}, {"start": 2616.98, "end": 2617.54, "word": " هذي", "probability": 0.48193359375}, {"start": 2617.54, "end": 2617.96, "word": " بيسموها", 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2642.74, "word": " density", "probability": 0.91064453125}], "temperature": 1.0}, {"id": 114, "seek": 266098, "start": 2643.48, "end": 2660.98, "text": "تم اكنوع الـ densities للمجموعات اذا اخدناها تلاتة و هنا احنا ناخد تلاتة ذاكرين رموزهم؟ Lambda و Sigma و Rho نفس الرموز هنستخدمهم الاستبدال الوحيد بدل ال mass is charge", "tokens": [39237, 1975, 4117, 1863, 45367, 2423, 39184, 24505, 1088, 5296, 19528, 7435, 2304, 45367, 9307, 1975, 15730, 1975, 9778, 3215, 8315, 11296, 6055, 1211, 9307, 3660, 4032, 34105, 1975, 5016, 8315, 8717, 47283, 3215, 6055, 1211, 9307, 3660, 29910, 995, 37983, 9957, 12602, 2304, 2407, 11622, 16095, 22807, 45691, 4032, 36595, 4032, 497, 1289, 8717, 36178, 34892, 2304, 2407, 11622, 8032, 1863, 14851, 9778, 40448, 16095, 42963, 14851, 44510, 6027, 2423, 2407, 5016, 25708, 47525, 1211, 2423, 2758, 307, 4602], "avg_logprob": -0.36959877720585577, "compression_ratio": 1.5280898876404494, "no_speech_prob": 0.0, "words": [{"start": 2643.48, "end": 2643.8, "word": "تم", "probability": 0.39697265625}, {"start": 2643.8, "end": 2645.36, "word": " اكنوع", "probability": 0.52197265625}, {"start": 2645.36, "end": 2645.74, "word": " الـ", "probability": 0.28533935546875}, {"start": 2645.74, "end": 2646.2, "word": " densities", "probability": 0.702392578125}, {"start": 2646.2, "end": 2646.62, "word": " للمجموعات", "probability": 0.6893310546875}, {"start": 2646.62, "end": 2646.7, "word": " اذا", "probability": 0.4876708984375}, {"start": 2646.7, "end": 2647.2, "word": " اخدناها", "probability": 0.63974609375}, {"start": 2647.2, "end": 2648.44, "word": " تلاتة", "probability": 0.8226318359375}, {"start": 2648.44, "end": 2648.6, "word": " و", "probability": 0.34619140625}, {"start": 2648.6, "end": 2648.68, "word": " هنا", "probability": 0.5517578125}, {"start": 2648.68, "end": 2648.84, "word": " احنا", "probability": 0.66015625}, {"start": 2648.84, "end": 2649.0, "word": " ناخد", "probability": 0.8221028645833334}, {"start": 2649.0, "end": 2649.56, "word": " تلاتة", "probability": 0.9805908203125}, {"start": 2649.56, "end": 2650.2, "word": " ذاكرين", "probability": 0.7578125}, {"start": 2650.2, "end": 2651.26, "word": " رموزهم؟", "probability": 0.8029988606770834}, {"start": 2651.26, "end": 2652.22, "word": " Lambda", "probability": 0.54150390625}, {"start": 2652.22, "end": 2653.12, "word": " و", "probability": 0.7744140625}, {"start": 2653.12, "end": 2653.52, "word": " Sigma", "probability": 0.8740234375}, {"start": 2653.52, "end": 2654.68, "word": " و", "probability": 0.9912109375}, {"start": 2654.68, "end": 2655.04, "word": " Rho", "probability": 0.6429443359375}, {"start": 2655.04, "end": 2656.1, "word": " نفس", "probability": 0.927001953125}, {"start": 2656.1, "end": 2656.98, "word": " الرموز", "probability": 0.97021484375}, {"start": 2656.98, "end": 2658.48, "word": " هنستخدمهم", "probability": 0.8671468098958334}, {"start": 2658.48, "end": 2659.56, "word": " الاستبدال", "probability": 0.963134765625}, {"start": 2659.56, "end": 2659.98, "word": " الوحيد", "probability": 0.9716796875}, {"start": 2659.98, "end": 2660.28, "word": " بدل", "probability": 0.4493408203125}, {"start": 2660.28, "end": 2660.38, "word": " ال", "probability": 0.68359375}, {"start": 2660.38, "end": 2660.52, "word": " mass", "probability": 0.404296875}, {"start": 2660.52, "end": 2660.64, "word": " is", "probability": 0.59521484375}, {"start": 2660.64, "end": 2660.98, "word": " charge", "probability": 0.88427734375}], "temperature": 1.0}, {"id": 115, "seek": 268133, "start": 2662.03, "end": 2681.33, "text": "بدي ال mass ال charge هي دا كثافة masses هنا كثافة شحنات مش أكتر بيقول if that charge is distributed along a line إذا كانت ال charge موزعة على line على طول شباب بس طول يعني لو جالك سلك رفيع مشحون مش سلك رفيع إله مساحة", "tokens": [3555, 16254, 2423, 2758, 2423, 4602, 39896, 11778, 995, 9122, 12984, 31845, 3660, 23935, 34105, 9122, 12984, 31845, 3660, 13412, 5016, 8315, 2655, 37893, 5551, 4117, 2655, 2288, 4724, 1829, 39648, 498, 300, 4602, 307, 12631, 2051, 257, 1622, 11933, 15730, 25961, 2655, 2423, 4602, 3714, 2407, 11622, 27884, 15844, 1622, 15844, 23032, 12610, 13412, 3555, 16758, 4724, 3794, 23032, 12610, 37495, 22653, 45164, 10874, 6027, 4117, 8608, 23275, 12602, 41185, 3615, 37893, 5016, 11536, 37893, 8608, 23275, 12602, 41185, 3615, 11933, 43761, 47524, 39319, 3660], "avg_logprob": -0.23365660645495887, "compression_ratio": 1.6237623762376239, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2662.03, "end": 2662.33, "word": "بدي", "probability": 0.2794189453125}, {"start": 2662.33, "end": 2662.47, "word": " ال", "probability": 0.46875}, {"start": 2662.47, "end": 2662.71, "word": " mass", "probability": 0.4638671875}, {"start": 2662.71, "end": 2662.89, "word": " ال", "probability": 0.387451171875}, {"start": 2662.89, "end": 2663.19, "word": " charge", "probability": 0.6748046875}, {"start": 2663.19, "end": 2663.57, "word": " هي", "probability": 0.4609375}, {"start": 2663.57, "end": 2663.69, "word": " دا", "probability": 0.536865234375}, {"start": 2663.69, "end": 2664.23, "word": " كثافة", "probability": 0.9794921875}, {"start": 2664.23, "end": 2664.67, "word": " masses", "probability": 0.509765625}, {"start": 2664.67, "end": 2665.25, "word": " هنا", "probability": 0.7919921875}, {"start": 2665.25, "end": 2665.79, "word": " كثافة", "probability": 0.9940185546875}, {"start": 2665.79, "end": 2666.39, "word": " شحنات", "probability": 0.9512939453125}, {"start": 2666.39, "end": 2666.57, "word": " مش", "probability": 0.9736328125}, {"start": 2666.57, "end": 2667.17, "word": " أكتر", "probability": 0.885986328125}, {"start": 2667.17, "end": 2667.95, "word": " بيقول", "probability": 0.8733723958333334}, {"start": 2667.95, "end": 2668.15, "word": " if", "probability": 0.26953125}, {"start": 2668.15, "end": 2668.55, "word": " that", "probability": 0.705078125}, {"start": 2668.55, "end": 2669.09, "word": " charge", "probability": 0.97412109375}, {"start": 2669.09, "end": 2669.97, "word": " is", "probability": 0.89501953125}, {"start": 2669.97, "end": 2670.91, "word": " distributed", "probability": 0.869140625}, {"start": 2670.91, "end": 2671.59, "word": " along", "probability": 0.93310546875}, {"start": 2671.59, "end": 2671.89, "word": " a", "probability": 0.978515625}, {"start": 2671.89, "end": 2672.27, "word": " line", "probability": 0.95947265625}, {"start": 2672.27, "end": 2673.29, "word": " إذا", "probability": 0.7254638671875}, {"start": 2673.29, "end": 2673.75, "word": " كانت", "probability": 0.984619140625}, {"start": 2673.75, "end": 2673.87, "word": " ال", "probability": 0.88623046875}, {"start": 2673.87, "end": 2674.13, "word": " charge", "probability": 0.92041015625}, {"start": 2674.13, "end": 2674.77, "word": " موزعة", "probability": 0.9642333984375}, {"start": 2674.77, "end": 2675.07, "word": " على", "probability": 0.9248046875}, {"start": 2675.07, "end": 2675.49, "word": " line", "probability": 0.82373046875}, {"start": 2675.49, "end": 2675.79, "word": " على", "probability": 0.775390625}, {"start": 2675.79, "end": 2676.09, "word": " طول", "probability": 0.996337890625}, {"start": 2676.09, "end": 2676.45, "word": " شباب", "probability": 0.9578450520833334}, {"start": 2676.45, "end": 2676.83, "word": " بس", "probability": 0.813720703125}, {"start": 2676.83, "end": 2677.13, "word": " طول", "probability": 0.9921875}, {"start": 2677.13, "end": 2677.49, "word": " يعني", "probability": 0.9296875}, {"start": 2677.49, "end": 2677.61, "word": " لو", "probability": 0.77587890625}, {"start": 2677.61, "end": 2677.91, "word": " جالك", "probability": 0.7146809895833334}, {"start": 2677.91, "end": 2678.23, "word": " سلك", "probability": 0.953369140625}, {"start": 2678.23, "end": 2678.97, "word": " رفيع", "probability": 0.8997395833333334}, {"start": 2678.97, "end": 2679.65, "word": " مشحون", "probability": 0.8387044270833334}, {"start": 2679.65, "end": 2680.17, "word": " مش", "probability": 0.446533203125}, {"start": 2680.17, "end": 2680.35, "word": " سلك", "probability": 0.89501953125}, {"start": 2680.35, "end": 2680.73, "word": " رفيع", "probability": 0.7652994791666666}, {"start": 2680.73, "end": 2680.89, "word": " إله", "probability": 0.469970703125}, {"start": 2680.89, "end": 2681.33, "word": " مساحة", "probability": 0.9869791666666666}], "temperature": 1.0}, {"id": 116, "seek": 270327, "start": 2682.03, "end": 2703.27, "text": "ولا له حجم إذا ليش له طول بكفيني إذا بقول عن هذه كثافة طولية if the charge is distributed along a line we define the linear charge density lambda نفس رمزها lambda إيش تعريفها شحنة على طول بقولي lambda بتسوي dq على dl", "tokens": [12610, 995, 46740, 11331, 7435, 2304, 11933, 15730, 32239, 8592, 46740, 23032, 12610, 4724, 4117, 5172, 9957, 1829, 11933, 15730, 4724, 39648, 18871, 29538, 9122, 12984, 31845, 3660, 23032, 12610, 10632, 498, 264, 4602, 307, 12631, 2051, 257, 1622, 321, 6964, 264, 8213, 4602, 10305, 13607, 8717, 36178, 12602, 2304, 11622, 11296, 13607, 11933, 1829, 8592, 37279, 16572, 5172, 11296, 13412, 5016, 1863, 3660, 15844, 23032, 12610, 4724, 39648, 1829, 13607, 39894, 3794, 45865, 274, 80, 15844, 37873], "avg_logprob": -0.23516613395908212, "compression_ratio": 1.52, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2682.03, "end": 2682.35, "word": "ولا", "probability": 0.830810546875}, {"start": 2682.35, "end": 2682.51, "word": " له", "probability": 0.53466796875}, {"start": 2682.51, "end": 2682.83, "word": " حجم", "probability": 0.9807942708333334}, {"start": 2682.83, "end": 2683.01, "word": " إذا", "probability": 0.68505859375}, {"start": 2683.01, "end": 2683.19, "word": " ليش", "probability": 0.5765380859375}, {"start": 2683.19, "end": 2683.41, "word": " له", "probability": 0.8388671875}, {"start": 2683.41, "end": 2684.47, "word": " طول", "probability": 0.941650390625}, {"start": 2684.47, "end": 2685.25, "word": " بكفيني", "probability": 0.71357421875}, {"start": 2685.25, "end": 2685.71, "word": " إذا", "probability": 0.78173828125}, {"start": 2685.71, "end": 2685.97, "word": " بقول", "probability": 0.88037109375}, {"start": 2685.97, "end": 2686.11, "word": " عن", "probability": 0.97509765625}, {"start": 2686.11, "end": 2686.29, "word": " هذه", "probability": 0.6708984375}, {"start": 2686.29, "end": 2686.69, "word": " كثافة", "probability": 0.9901123046875}, {"start": 2686.69, "end": 2687.21, "word": " طولية", "probability": 0.9892578125}, {"start": 2687.21, "end": 2687.79, "word": " if", "probability": 0.486083984375}, {"start": 2687.79, "end": 2687.99, "word": " the", "probability": 0.693359375}, {"start": 2687.99, "end": 2688.41, "word": " charge", "probability": 0.9794921875}, {"start": 2688.41, "end": 2688.65, "word": " is", "probability": 0.9560546875}, {"start": 2688.65, "end": 2689.41, "word": " distributed", "probability": 0.8896484375}, {"start": 2689.41, "end": 2689.99, "word": " along", "probability": 0.9453125}, {"start": 2689.99, "end": 2690.29, "word": " a", "probability": 0.97119140625}, {"start": 2690.29, "end": 2690.77, "word": " line", "probability": 0.95849609375}, {"start": 2690.77, "end": 2691.39, "word": " we", "probability": 0.6904296875}, {"start": 2691.39, "end": 2692.41, "word": " define", "probability": 0.9580078125}, {"start": 2692.41, "end": 2692.79, "word": " the", "probability": 0.9033203125}, {"start": 2692.79, "end": 2693.25, "word": " linear", "probability": 0.81298828125}, {"start": 2693.25, "end": 2693.81, "word": " charge", "probability": 0.90234375}, {"start": 2693.81, "end": 2694.45, "word": " density", "probability": 0.88427734375}, {"start": 2694.45, "end": 2695.09, "word": " lambda", "probability": 0.372314453125}, {"start": 2695.09, "end": 2696.11, "word": " نفس", "probability": 0.9697265625}, {"start": 2696.11, "end": 2696.55, "word": " رمزها", "probability": 0.9820556640625}, {"start": 2696.55, "end": 2696.91, "word": " lambda", "probability": 0.27587890625}, {"start": 2696.91, "end": 2697.59, "word": " إيش", "probability": 0.8006184895833334}, {"start": 2697.59, "end": 2698.33, "word": " تعريفها", "probability": 0.9620361328125}, {"start": 2698.33, "end": 2699.25, "word": " شحنة", "probability": 0.95263671875}, {"start": 2699.25, "end": 2699.59, "word": " على", "probability": 0.96875}, {"start": 2699.59, "end": 2700.07, "word": " طول", "probability": 0.995849609375}, {"start": 2700.07, "end": 2700.77, "word": " بقولي", "probability": 0.669677734375}, {"start": 2700.77, "end": 2701.17, "word": " lambda", "probability": 0.65771484375}, {"start": 2701.17, "end": 2701.71, "word": " بتسوي", "probability": 0.5922037760416666}, {"start": 2701.71, "end": 2702.31, "word": " dq", "probability": 0.73291015625}, {"start": 2702.31, "end": 2702.65, "word": " على", "probability": 0.6484375}, {"start": 2702.65, "end": 2703.27, "word": " dl", "probability": 0.76611328125}], "temperature": 1.0}, {"id": 117, "seek": 273112, "start": 2706.58, "end": 2731.12, "text": "طيب with a charge distributed over a surface لقال لي في عندك ورقة من ورقة أي ورقة و شحنتها اذا وين بتكون مزعج شحنات على ساطح مافيش حاجة ماهو مكتبة حرفية if the charge is distributed over a surface we define the surface charge density sigma اذا نفس الرمز ايش اتوقع تكون", "tokens": [9566, 1829, 3555, 365, 257, 4602, 12631, 670, 257, 3753, 5296, 4587, 6027, 32239, 8978, 43242, 4117, 4032, 2288, 28671, 9154, 4032, 2288, 28671, 36632, 4032, 2288, 28671, 4032, 13412, 5016, 29399, 11296, 1975, 15730, 4032, 9957, 39894, 30544, 3714, 11622, 3615, 7435, 13412, 5016, 1863, 9307, 15844, 8608, 41193, 5016, 19446, 41185, 8592, 11331, 26108, 3660, 19446, 3224, 2407, 3714, 4117, 2655, 49401, 11331, 28480, 10632, 498, 264, 4602, 307, 12631, 670, 257, 3753, 321, 6964, 264, 3753, 4602, 10305, 12771, 1975, 15730, 8717, 36178, 34892, 2304, 11622, 1975, 1829, 8592, 1975, 2655, 30543, 3615, 6055, 30544], "avg_logprob": -0.2880366300091599, "compression_ratio": 1.6406926406926408, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2706.58, "end": 2707.3, "word": "طيب", "probability": 0.715087890625}, {"start": 2707.3, "end": 2707.86, "word": " with", "probability": 0.1624755859375}, {"start": 2707.86, "end": 2708.0, "word": " a", "probability": 0.55126953125}, {"start": 2708.0, "end": 2708.5, "word": " charge", "probability": 0.96923828125}, {"start": 2708.5, "end": 2710.44, "word": " distributed", "probability": 0.74169921875}, {"start": 2710.44, "end": 2710.9, "word": " over", "probability": 0.94677734375}, {"start": 2710.9, "end": 2711.28, "word": " a", "probability": 0.97900390625}, {"start": 2711.28, "end": 2711.88, "word": " surface", "probability": 0.86279296875}, {"start": 2711.88, "end": 2713.14, "word": " لقال", "probability": 0.4330240885416667}, {"start": 2713.14, "end": 2713.26, "word": " لي", "probability": 0.6494140625}, {"start": 2713.26, "end": 2713.3, "word": " في", "probability": 0.76220703125}, {"start": 2713.3, "end": 2713.62, "word": " عندك", "probability": 0.979736328125}, {"start": 2713.62, "end": 2714.2, "word": " ورقة", "probability": 0.9241536458333334}, {"start": 2714.2, "end": 2714.56, "word": " من", "probability": 0.72216796875}, {"start": 2714.56, "end": 2714.96, "word": " ورقة", "probability": 0.9632161458333334}, {"start": 2714.96, "end": 2715.08, "word": " أي", "probability": 0.3408203125}, {"start": 2715.08, "end": 2715.34, "word": " ورقة", "probability": 0.9724934895833334}, {"start": 2715.34, "end": 2715.44, "word": " و", "probability": 0.93603515625}, {"start": 2715.44, "end": 2716.02, "word": " شحنتها", "probability": 0.8201904296875}, {"start": 2716.02, "end": 2717.2, "word": " اذا", "probability": 0.6058349609375}, {"start": 2717.2, "end": 2717.52, "word": " وين", "probability": 0.5745849609375}, {"start": 2717.52, "end": 2717.86, "word": " بتكون", "probability": 0.909423828125}, {"start": 2717.86, "end": 2718.34, "word": " مزعج", "probability": 0.8670654296875}, {"start": 2718.34, "end": 2718.64, "word": " شحنات", "probability": 0.704345703125}, {"start": 2718.64, "end": 2718.76, "word": " على", "probability": 0.8876953125}, {"start": 2718.76, "end": 2719.26, "word": " ساطح", "probability": 0.7902018229166666}, {"start": 2719.26, "end": 2720.12, "word": " مافيش", "probability": 0.87353515625}, {"start": 2720.12, "end": 2720.44, "word": " حاجة", "probability": 0.837890625}, {"start": 2720.44, "end": 2720.92, "word": " ماهو", "probability": 0.8108723958333334}, {"start": 2720.92, "end": 2721.62, "word": " مكتبة", "probability": 0.634490966796875}, {"start": 2721.62, "end": 2722.22, "word": " حرفية", "probability": 0.7143961588541666}, {"start": 2722.22, "end": 2723.2, "word": " if", "probability": 0.89208984375}, {"start": 2723.2, "end": 2723.38, "word": " the", "probability": 0.734375}, {"start": 2723.38, "end": 2723.82, "word": " charge", "probability": 0.9794921875}, {"start": 2723.82, "end": 2724.02, "word": " is", "probability": 0.94921875}, {"start": 2724.02, "end": 2724.52, "word": " distributed", "probability": 0.9033203125}, {"start": 2724.52, "end": 2724.94, "word": " over", "probability": 0.9453125}, {"start": 2724.94, "end": 2725.24, "word": " a", "probability": 0.98095703125}, {"start": 2725.24, "end": 2725.58, "word": " surface", "probability": 0.88623046875}, {"start": 2725.58, "end": 2725.82, "word": " we", "probability": 0.732421875}, {"start": 2725.82, "end": 2726.28, "word": " define", "probability": 0.9365234375}, {"start": 2726.28, "end": 2726.52, "word": " the", "probability": 0.91455078125}, {"start": 2726.52, "end": 2726.86, "word": " surface", "probability": 0.85009765625}, {"start": 2726.86, "end": 2727.38, "word": " charge", "probability": 0.95654296875}, {"start": 2727.38, "end": 2727.9, "word": " density", "probability": 0.8193359375}, {"start": 2727.9, "end": 2728.56, "word": " sigma", "probability": 0.53369140625}, {"start": 2728.56, "end": 2729.08, "word": " اذا", "probability": 0.74267578125}, {"start": 2729.08, "end": 2729.3, "word": " نفس", "probability": 0.966796875}, {"start": 2729.3, "end": 2729.74, "word": " الرمز", "probability": 0.9737955729166666}, {"start": 2729.74, "end": 2730.42, "word": " ايش", "probability": 0.8575846354166666}, {"start": 2730.42, "end": 2730.8, "word": " اتوقع", "probability": 0.845458984375}, {"start": 2730.8, "end": 2731.12, "word": " تكون", "probability": 0.814453125}], "temperature": 1.0}, {"id": 118, "seek": 275252, "start": 2732.4, "end": 2752.52, "text": "DQ على DA طبعاً DQ هي الشحنة و DA هي مساحة الجزء اللي مغطيها الشحنة اطلعوا يا شباب لو احجركم كم واحدة Lambda واحدة Lambda كم؟ كلهم على طب و Sigma؟", "tokens": [35, 48, 15844, 9578, 23032, 3555, 3615, 995, 14111, 413, 48, 39896, 25124, 5016, 1863, 3660, 4032, 9578, 39896, 47524, 39319, 3660, 25724, 11622, 38207, 13672, 1829, 3714, 17082, 9566, 1829, 11296, 25124, 5016, 1863, 3660, 1975, 9566, 1211, 3615, 14407, 35186, 13412, 3555, 16758, 45164, 1975, 5016, 7435, 2288, 24793, 9122, 2304, 36764, 24401, 3660, 45691, 36764, 24401, 3660, 45691, 9122, 2304, 22807, 28242, 16095, 15844, 23032, 3555, 4032, 36595, 22807], "avg_logprob": -0.261986301369863, "compression_ratio": 1.5, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2732.4, "end": 2732.8, "word": "DQ", "probability": 0.651123046875}, {"start": 2732.8, "end": 2732.98, "word": " على", "probability": 0.1981201171875}, {"start": 2732.98, "end": 2733.42, "word": " DA", "probability": 0.7080078125}, {"start": 2733.42, "end": 2734.12, "word": " طبعاً", "probability": 0.744091796875}, {"start": 2734.12, "end": 2734.4, "word": " DQ", "probability": 0.631591796875}, {"start": 2734.4, "end": 2734.52, "word": " هي", "probability": 0.9326171875}, {"start": 2734.52, "end": 2735.04, "word": " الشحنة", "probability": 0.97216796875}, {"start": 2735.04, "end": 2735.2, "word": " و", "probability": 0.76171875}, {"start": 2735.2, "end": 2735.54, "word": " DA", "probability": 0.7880859375}, {"start": 2735.54, "end": 2736.34, "word": " هي", "probability": 0.9267578125}, {"start": 2736.34, "end": 2737.3, "word": " مساحة", "probability": 0.91748046875}, {"start": 2737.3, "end": 2738.0, "word": " الجزء", "probability": 0.9122721354166666}, {"start": 2738.0, "end": 2738.12, "word": " اللي", "probability": 0.76953125}, {"start": 2738.12, "end": 2738.64, "word": " مغطيها", "probability": 0.9068359375}, {"start": 2738.64, "end": 2740.02, "word": " الشحنة", "probability": 0.97412109375}, {"start": 2740.02, "end": 2740.84, "word": " اطلعوا", "probability": 0.7775390625}, {"start": 2740.84, "end": 2740.94, "word": " يا", "probability": 0.76611328125}, {"start": 2740.94, "end": 2741.16, "word": " شباب", "probability": 0.98828125}, {"start": 2741.16, "end": 2741.36, "word": " لو", "probability": 0.8564453125}, {"start": 2741.36, "end": 2741.86, "word": " احجركم", "probability": 0.826953125}, {"start": 2741.86, "end": 2742.12, "word": " كم", "probability": 0.631103515625}, {"start": 2742.12, "end": 2742.54, "word": " واحدة", "probability": 0.765380859375}, {"start": 2742.54, "end": 2742.84, "word": " Lambda", "probability": 0.314697265625}, {"start": 2742.84, "end": 2745.66, "word": " واحدة", "probability": 0.8720703125}, {"start": 2745.66, "end": 2746.04, "word": " Lambda", "probability": 0.95361328125}, {"start": 2746.04, "end": 2748.02, "word": " كم؟", "probability": 0.810546875}, {"start": 2748.02, "end": 2748.6, "word": " كلهم", "probability": 0.715087890625}, {"start": 2748.6, "end": 2750.38, "word": " على", "probability": 0.83740234375}, {"start": 2750.38, "end": 2751.72, "word": " طب", "probability": 0.51123046875}, {"start": 2751.72, "end": 2751.8, "word": " و", "probability": 0.89453125}, {"start": 2751.8, "end": 2752.52, "word": " Sigma؟", "probability": 0.7099609375}], "temperature": 1.0}, {"id": 119, "seek": 277781, "start": 2753.39, "end": 2777.81, "text": "كلهم على متر تربية. اذا الوحدة بتيجي من التعريف. لو واحد قاللي الكثافة الدنيا كلهم على متر.بترفع أصبعي وأقولها دي مساحة ولا حجم ولا طول ولا بكون عارف على طول وطول.إذا الوحدة بتعطيني مفهوم الكمية الفيزيائية.حلو.إنظروا عن دي الحجم. If the charge is distributed of within a volume في حجم ما", "tokens": [28820, 16095, 15844, 44650, 2288, 6055, 25513, 10632, 13, 1975, 15730, 2423, 2407, 24401, 3660, 39894, 1829, 7435, 1829, 9154, 16712, 3615, 16572, 5172, 13, 45164, 36764, 24401, 50239, 20292, 2423, 4117, 12984, 31845, 3660, 32748, 22653, 995, 28242, 16095, 15844, 44650, 2288, 13, 3555, 2655, 28480, 3615, 5551, 9381, 3555, 3615, 1829, 36725, 39648, 11296, 11778, 1829, 47524, 39319, 3660, 49429, 11331, 7435, 2304, 49429, 23032, 12610, 49429, 4724, 30544, 6225, 9640, 5172, 15844, 23032, 12610, 4032, 9566, 12610, 13, 28814, 15730, 2423, 2407, 24401, 3660, 39894, 3615, 9566, 9957, 1829, 3714, 5172, 3224, 20498, 33251, 2304, 10632, 27188, 1829, 11622, 1829, 16373, 10632, 13, 5016, 1211, 2407, 13, 28814, 1863, 19913, 2288, 14407, 18871, 11778, 1829, 21542, 7435, 2304, 13, 759, 264, 4602, 307, 12631, 295, 1951, 257, 5523, 8978, 11331, 7435, 2304, 19446], "avg_logprob": -0.2104242692028519, "compression_ratio": 1.7573529411764706, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2753.39, "end": 2753.81, "word": "كلهم", "probability": 0.921142578125}, {"start": 2753.81, "end": 2753.97, "word": " على", "probability": 0.658203125}, {"start": 2753.97, "end": 2754.23, "word": " متر", "probability": 0.931640625}, {"start": 2754.23, "end": 2754.71, "word": " تربية.", "probability": 0.8533528645833334}, {"start": 2755.29, "end": 2755.57, "word": " اذا", "probability": 0.60009765625}, {"start": 2755.57, "end": 2756.37, "word": " الوحدة", "probability": 0.9556884765625}, {"start": 2756.37, "end": 2756.65, "word": " بتيجي", "probability": 0.8348388671875}, {"start": 2756.65, "end": 2756.77, "word": " من", "probability": 0.98779296875}, {"start": 2756.77, "end": 2757.41, "word": " التعريف.", "probability": 0.9921875}, {"start": 2758.19, "end": 2758.31, "word": " لو", "probability": 0.853515625}, {"start": 2758.31, "end": 2758.69, "word": " واحد", "probability": 0.96533203125}, {"start": 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{"start": 2764.65, "end": 2764.97, "word": " حجم", "probability": 0.9943033854166666}, {"start": 2764.97, "end": 2765.11, "word": " ولا", "probability": 0.97119140625}, {"start": 2765.11, "end": 2765.47, "word": " طول", "probability": 0.982666015625}, {"start": 2765.47, "end": 2765.87, "word": " ولا", "probability": 0.66064453125}, {"start": 2765.87, "end": 2766.19, "word": " بكون", "probability": 0.81689453125}, {"start": 2766.19, "end": 2766.53, "word": " عارف", "probability": 0.9812825520833334}, {"start": 2766.53, "end": 2766.67, "word": " على", "probability": 0.9501953125}, {"start": 2766.67, "end": 2766.87, "word": " طول", "probability": 0.997802734375}, {"start": 2766.87, "end": 2767.31, "word": " وطول", "probability": 0.84130859375}, {"start": 2767.31, "end": 2767.81, "word": ".إذا", "probability": 0.8056640625}, {"start": 2767.81, "end": 2768.37, "word": " الوحدة", "probability": 0.97802734375}, {"start": 2768.37, "end": 2769.49, "word": " بتعطيني", "probability": 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{"id": 126, "seek": 292995, "start": 2910.77, "end": 2929.95, "text": "في هذه الحالة بطلع lambda او rho او sigma constants ايش بيصير تكامل ال DL ال وتكامل ال DAA وتكامل ال DV V فبصير عندك Q بيثوي رو في V اذا هذا بيصير in this case the total charge capital Q", "tokens": [41185, 29538, 21542, 6027, 3660, 4724, 9566, 1211, 3615, 13607, 1975, 2407, 20293, 1975, 2407, 12771, 35870, 1975, 1829, 8592, 4724, 1829, 9381, 13546, 6055, 4117, 10943, 1211, 2423, 413, 43, 2423, 34683, 4117, 10943, 1211, 2423, 413, 5265, 34683, 4117, 10943, 1211, 2423, 17021, 691, 6156, 3555, 9381, 13546, 43242, 4117, 1249, 4724, 1829, 12984, 45865, 12602, 2407, 8978, 691, 1975, 15730, 23758, 4724, 1829, 9381, 13546, 294, 341, 1389, 264, 3217, 4602, 4238, 1249], "avg_logprob": -0.2911931740773189, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 2910.77, "end": 2911.05, "word": "في", "probability": 0.5673828125}, {"start": 2911.05, "end": 2911.27, "word": " هذه", "probability": 0.90771484375}, 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296665, "start": 2941.95, "end": 2966.65, "text": "The total charge of capital Q can be obtained by integrating both sides of the above equations وحصل عندي كالتالي الـ Q الأولانية بيصوي Lambda في L الـ Q التانية بيصيه Sigma في A وQ التالتة بيصوي ρو في V طبعا في سؤال بيقولك هو هتكامل ال DQ لصغيرة منفع أحطه capital Q كبيرة؟ المفروض يكون الـQ صغيرة إيش تكامل ال DX؟", "tokens": [2278, 3217, 4602, 295, 4238, 1249, 393, 312, 14879, 538, 26889, 1293, 4881, 295, 264, 3673, 11787, 4032, 5016, 36520, 18871, 16254, 9122, 6027, 2655, 6027, 1829, 2423, 39184, 1249, 16247, 12610, 7649, 10632, 4724, 1829, 9381, 45865, 45691, 8978, 441, 2423, 39184, 1249, 16712, 7649, 10632, 4724, 1829, 9381, 1829, 3224, 36595, 8978, 316, 4032, 48, 16712, 6027, 2655, 3660, 4724, 1829, 9381, 45865, 40750, 2407, 8978, 691, 23032, 3555, 3615, 995, 8978, 8608, 33604, 6027, 4724, 1829, 39648, 4117, 31439, 8032, 2655, 4117, 10943, 1211, 2423, 413, 48, 5296, 9381, 17082, 48923, 9154, 5172, 3615, 5551, 5016, 9566, 3224, 4238, 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تربية", "probability": 0.8634440104166666}, {"start": 3755.16, "end": 3755.8, "word": " صار", "probability": 0.951904296875}, {"start": 3755.8, "end": 3756.32, "word": " القانون", "probability": 0.97412109375}, {"start": 3756.32, "end": 3757.86, "word": " KQ", "probability": 0.5992431640625}, {"start": 3757.86, "end": 3758.24, "word": " على", "probability": 0.69580078125}, {"start": 3758.24, "end": 3758.46, "word": " D", "probability": 0.9560546875}, {"start": 3758.46, "end": 3758.78, "word": " تربية", "probability": 0.95166015625}, {"start": 3758.78, "end": 3758.92, "word": " يعني", "probability": 0.877685546875}, {"start": 3758.92, "end": 3759.06, "word": " على", "probability": 0.9052734375}, {"start": 3759.06, "end": 3759.22, "word": " أر", "probability": 0.40997314453125}, {"start": 3759.22, "end": 3759.78, "word": " تربية", "probability": 0.9306640625}, {"start": 3759.78, "end": 3760.18, "word": " هذا", "probability": 0.59130859375}, {"start": 3760.18, "end": 3760.46, "word": " قانون", "probability": 0.9677734375}, {"start": 3760.46, "end": 3761.54, "word": " النقطة", "probability": 0.9759114583333334}, {"start": 3761.54, "end": 3761.8, "word": " فهو", "probability": 0.5238444010416666}, {"start": 3761.8, "end": 3762.22, "word": " صح", "probability": 0.98486328125}], "temperature": 1.0}, {"id": 163, "seek": 378457, "start": 3763.19, "end": 3784.57, "text": "اذا صح زي ما الواقع بيقول لما تبقى بصير نقطة لازم لما اطبق هذا المبدأ قانون النقطة يرجع وهيرجع صحيح و لا لأ مافيش اي مشكلة ابني اعملها انا عاملها و لا مش عاملها شوف اه مش هذا انا عاملها علشان ما .. now", "tokens": [45636, 995, 20328, 5016, 30767, 1829, 19446, 2423, 14407, 4587, 3615, 4724, 1829, 39648, 5296, 15042, 6055, 3555, 4587, 7578, 4724, 9381, 13546, 8717, 47432, 3660, 5296, 31377, 2304, 5296, 15042, 1975, 9566, 3555, 4587, 23758, 9673, 44510, 10721, 12174, 7649, 11536, 28239, 47432, 3660, 7251, 47341, 3615, 37037, 1829, 47341, 3615, 20328, 5016, 1829, 5016, 4032, 20193, 5296, 10721, 19446, 41185, 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0.7796630859375}, {"start": 3772.63, "end": 3773.73, "word": " صحيح", "probability": 0.9715576171875}, {"start": 3773.73, "end": 3773.89, "word": " و", "probability": 0.319580078125}, {"start": 3773.89, "end": 3773.99, "word": " لا", "probability": 0.98193359375}, {"start": 3773.99, "end": 3774.31, "word": " لأ", "probability": 0.71826171875}, {"start": 3774.31, "end": 3774.87, "word": " مافيش", "probability": 0.762939453125}, {"start": 3774.87, "end": 3775.09, "word": " اي", "probability": 0.804443359375}, {"start": 3775.09, "end": 3775.77, "word": " مشكلة", "probability": 0.9827473958333334}, {"start": 3775.77, "end": 3776.15, "word": " ابني", "probability": 0.5867919921875}, {"start": 3776.15, "end": 3776.51, "word": " اعملها", "probability": 0.9432373046875}, {"start": 3776.51, "end": 3776.69, "word": " انا", "probability": 0.91064453125}, {"start": 3776.69, "end": 3777.01, "word": " عاملها", "probability": 0.9346923828125}, {"start": 3777.01, "end": 3777.11, "word": " و", "probability": 0.5478515625}, {"start": 3777.11, "end": 3777.15, "word": " لا", "probability": 0.5546875}, {"start": 3777.15, "end": 3777.27, "word": " مش", "probability": 0.98486328125}, {"start": 3777.27, "end": 3777.53, "word": " عاملها", "probability": 0.9737548828125}, {"start": 3777.53, "end": 3777.83, "word": " شوف", "probability": 0.78759765625}, {"start": 3777.83, "end": 3778.83, "word": " اه", "probability": 0.802734375}, {"start": 3778.83, "end": 3780.33, "word": " مش", "probability": 0.83251953125}, {"start": 3780.33, "end": 3780.53, "word": " هذا", "probability": 0.6298828125}, {"start": 3780.53, "end": 3781.51, "word": " انا", "probability": 0.79541015625}, {"start": 3781.51, "end": 3781.95, "word": " عاملها", "probability": 0.980712890625}, {"start": 3781.95, "end": 3782.23, "word": " علشان", "probability": 0.763427734375}, {"start": 3782.23, "end": 3782.45, "word": " ما", "probability": 0.382080078125}, {"start": 3782.45, "end": 3782.79, "word": " ..", "probability": 0.3466796875}, {"start": 3782.79, "end": 3784.57, "word": " now", "probability": 0.498046875}], "temperature": 1.0}, {"id": 164, "seek": 380599, "start": 3787.29, "end": 3805.99, "text": "FB is far away راحت عن مجلس الشريعي هناك from the road يعني دي اكتر كتير من الهي معناه تبعيدة then we have ايه زي ال D صارت دي صح ولا المليون والدنار راح الدنار وظال المليون اللي هي ال D صار القانون KQ على D تربيع", "tokens": [37, 33, 307, 1400, 1314, 12602, 39319, 2655, 18871, 3714, 7435, 1211, 3794, 25124, 16572, 3615, 1829, 34105, 4117, 490, 264, 3060, 37495, 22653, 11778, 1829, 1975, 4117, 2655, 2288, 9122, 2655, 13546, 9154, 2423, 3224, 1829, 20449, 8315, 3224, 6055, 3555, 3615, 25708, 3660, 550, 321, 362, 1975, 1829, 3224, 30767, 1829, 2423, 413, 20328, 9640, 2655, 11778, 1829, 20328, 5016, 49429, 9673, 20292, 11536, 16070, 3215, 8315, 2288, 12602, 39319, 32748, 8315, 2288, 4032, 19913, 6027, 9673, 20292, 11536, 13672, 1829, 39896, 2423, 413, 20328, 9640, 25062, 7649, 11536, 591, 48, 15844, 413, 6055, 2288, 21292, 3615], "avg_logprob": -0.314687514603138, "compression_ratio": 1.6490384615384615, "no_speech_prob": 1.7881393432617188e-06, "words": [{"start": 3787.29, "end": 3787.93, "word": "FB", "probability": 0.3206634521484375}, {"start": 3787.93, "end": 3788.17, "word": " is", "probability": 0.630859375}, {"start": 3788.17, "end": 3788.47, "word": " far", "probability": 0.79638671875}, {"start": 3788.47, "end": 3788.97, "word": " away", "probability": 0.86083984375}, {"start": 3788.97, "end": 3790.73, "word": " راحت", "probability": 0.4345703125}, {"start": 3790.73, "end": 3790.83, "word": " عن", "probability": 0.84912109375}, {"start": 3790.83, "end": 3791.07, "word": " مجلس", "probability": 0.938720703125}, {"start": 3791.07, "end": 3791.49, "word": " الشريعي", "probability": 0.8438720703125}, {"start": 3791.49, "end": 3792.23, "word": " هناك", "probability": 0.9716796875}, {"start": 3792.23, "end": 3792.85, "word": " from", "probability": 0.3955078125}, {"start": 3792.85, "end": 3793.17, "word": " the", "probability": 0.798828125}, {"start": 3793.17, "end": 3793.49, "word": " road", "probability": 0.67431640625}, {"start": 3793.49, "end": 3793.99, "word": " يعني", "probability": 0.890625}, {"start": 3793.99, "end": 3794.21, "word": " دي", "probability": 0.83544921875}, {"start": 3794.21, "end": 3794.67, "word": " اكتر", "probability": 0.70703125}, {"start": 3794.67, "end": 3795.05, "word": " كتير", "probability": 0.7737630208333334}, {"start": 3795.05, "end": 3795.23, "word": " من", "probability": 0.98583984375}, {"start": 3795.23, "end": 3795.57, "word": " الهي", "probability": 0.6512044270833334}, {"start": 3795.57, "end": 3795.87, "word": " معناه", "probability": 0.8017578125}, {"start": 3795.87, "end": 3796.45, "word": " تبعيدة", "probability": 0.78984375}, {"start": 3796.45, "end": 3797.09, "word": " then", "probability": 0.701171875}, {"start": 3797.09, "end": 3797.33, "word": " we", "probability": 0.93505859375}, {"start": 3797.33, "end": 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3801.73, "word": " الدنار", "probability": 0.8663736979166666}, {"start": 3801.73, "end": 3801.91, "word": " وظال", "probability": 0.4674479166666667}, {"start": 3801.91, "end": 3802.53, "word": " المليون", "probability": 0.99267578125}, {"start": 3802.53, "end": 3802.71, "word": " اللي", "probability": 0.82421875}, {"start": 3802.71, "end": 3802.87, "word": " هي", "probability": 0.72216796875}, {"start": 3802.87, "end": 3802.99, "word": " ال", "probability": 0.7900390625}, {"start": 3802.99, "end": 3803.19, "word": " D", "probability": 0.9501953125}, {"start": 3803.19, "end": 3804.15, "word": " صار", "probability": 0.90869140625}, {"start": 3804.15, "end": 3804.53, "word": " القانون", "probability": 0.97509765625}, {"start": 3804.53, "end": 3804.97, "word": " KQ", "probability": 0.865966796875}, {"start": 3804.97, "end": 3805.21, "word": " على", "probability": 0.69140625}, {"start": 3805.21, "end": 3805.37, "word": " D", "probability": 0.80322265625}, {"start": 3805.37, "end": 3805.99, "word": " تربيع", "probability": 0.87109375}], "temperature": 1.0}, {"id": 165, "seek": 383469, "start": 3806.95, "end": 3834.69, "text": "that is we recover بنعيد the result of the pointed charge زي ما المفروض أتوقع اذا we recover the point the result of the pointed charge as expected وهذا اللازم يكون وإلا يكون جوابي غلط أو في عدم منطقية في الكلام تمام شباب احكي ليش قولي انا عايش ليش قولي ايه تمام شباب ما زال في charge distribution", "tokens": [6780, 307, 321, 8114, 44945, 3615, 25708, 264, 1874, 295, 264, 10932, 4602, 30767, 1829, 19446, 9673, 5172, 32887, 11242, 5551, 2655, 30543, 3615, 1975, 15730, 321, 8114, 264, 935, 264, 1874, 295, 264, 10932, 4602, 382, 5176, 37037, 15730, 13672, 31377, 2304, 7251, 30544, 4032, 28814, 15040, 7251, 30544, 10874, 14407, 21292, 32771, 1211, 9566, 34051, 8978, 6225, 40448, 9154, 9566, 4587, 10632, 8978, 2423, 28820, 10943, 46811, 10943, 13412, 3555, 16758, 1975, 5016, 4117, 1829, 32239, 8592, 12174, 12610, 1829, 1975, 8315, 6225, 47302, 8592, 32239, 8592, 12174, 12610, 1829, 1975, 1829, 3224, 46811, 10943, 13412, 3555, 16758, 19446, 30767, 6027, 8978, 4602, 7316], "avg_logprob": -0.2403621542676587, "compression_ratio": 1.7848101265822784, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 3806.95, "end": 3807.29, "word": "that", "probability": 0.1590576171875}, {"start": 3807.29, "end": 3807.67, "word": " is", "probability": 0.88525390625}, {"start": 3807.67, "end": 3807.89, "word": " we", "probability": 0.7509765625}, {"start": 3807.89, "end": 3808.47, "word": " recover", "probability": 0.87890625}, {"start": 3808.47, "end": 3809.59, "word": " بنعيد", "probability": 0.669921875}, {"start": 3809.59, "end": 3810.19, "word": " the", "probability": 0.70947265625}, {"start": 3810.19, "end": 3810.55, "word": " result", "probability": 0.947265625}, {"start": 3810.55, "end": 3810.77, "word": " of", "probability": 0.9775390625}, {"start": 3810.77, "end": 3810.93, "word": " the", "probability": 0.89013671875}, {"start": 3810.93, "end": 3811.19, "word": " pointed", "probability": 0.8037109375}, {"start": 3811.19, "end": 3811.77, "word": " charge", "probability": 0.98291015625}, {"start": 3811.77, "end": 3812.15, "word": " زي", "probability": 0.885498046875}, {"start": 3812.15, "end": 3812.23, "word": " ما", "probability": 0.900390625}, {"start": 3812.23, "end": 3812.81, "word": " المفروض", "probability": 0.79547119140625}, {"start": 3812.81, "end": 3813.43, "word": " أتوقع", "probability": 0.9315185546875}, {"start": 3813.43, "end": 3814.09, "word": " اذا", "probability": 0.54168701171875}, {"start": 3814.09, "end": 3814.29, "word": " we", "probability": 0.5322265625}, {"start": 3814.29, "end": 3814.89, "word": " recover", "probability": 0.900390625}, {"start": 3814.89, "end": 3815.45, "word": " the", "probability": 0.86328125}, {"start": 3815.45, "end": 3816.91, "word": " point", "probability": 0.66162109375}, {"start": 3816.91, "end": 3817.13, "word": " the", "probability": 0.298095703125}, 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"probability": 0.7080078125}, {"start": 3827.03, "end": 3827.25, "word": " قولي", "probability": 0.7708333333333334}, {"start": 3827.25, "end": 3828.07, "word": " انا", "probability": 0.815673828125}, {"start": 3828.07, "end": 3828.97, "word": " عايش", "probability": 0.8361002604166666}, {"start": 3828.97, "end": 3829.27, "word": " ليش", "probability": 0.930908203125}, {"start": 3829.27, "end": 3829.51, "word": " قولي", "probability": 0.9222005208333334}, {"start": 3829.51, "end": 3829.65, "word": " ايه", "probability": 0.7496744791666666}, {"start": 3829.65, "end": 3831.77, "word": " تمام", "probability": 0.7978515625}, {"start": 3831.77, "end": 3832.91, "word": " شباب", "probability": 0.9578450520833334}, {"start": 3832.91, "end": 3833.63, "word": " ما", "probability": 0.5009765625}, {"start": 3833.63, "end": 3833.79, "word": " زال", "probability": 0.9267578125}, {"start": 3833.79, "end": 3833.91, "word": " في", "probability": 0.93310546875}, {"start": 3833.91, "end": 3834.15, "word": " charge", "probability": 0.489013671875}, {"start": 3834.15, "end": 3834.69, "word": " distribution", "probability": 0.91162109375}], "temperature": 1.0}, {"id": 166, "seek": 386344, "start": 3835.5, "end": 3863.44, "text": "بدي أجسم لعناصر أهم حاجة العنصر إذا عرفت تجيبه point of charge يعطيك العافية point of charge له قانون بتكاشي إياه point of charge بدي يكون العنصر بتاعه في مجاله هذا الاصل بعد كده جيب مجال لأحد العناصر بعد كده كامل وانت بتتعامل مع vectors مش مع scalars تمام واضح؟ لما كنا نتعامل مع ال moment of inertia فيزيائي في ال moment of inertia كانت scalar وماكناش نواجه هالمشكلة تمام", "tokens": [3555, 16254, 5551, 7435, 38251, 5296, 3615, 1863, 33546, 2288, 5551, 16095, 11331, 26108, 3660, 18863, 1863, 9381, 2288, 11933, 15730, 6225, 28480, 2655, 6055, 7435, 1829, 3555, 3224, 935, 295, 4602, 37495, 9566, 1829, 4117, 18863, 31845, 10632, 935, 295, 4602, 46740, 12174, 7649, 11536, 39894, 4117, 33599, 1829, 11933, 25528, 3224, 935, 295, 4602, 4724, 16254, 7251, 30544, 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3857.26, "word": " لما", "probability": 0.94091796875}, {"start": 3857.26, "end": 3857.42, "word": " كنا", "probability": 0.975341796875}, {"start": 3857.42, "end": 3857.84, "word": " نتعامل", "probability": 0.97744140625}, {"start": 3857.84, "end": 3857.96, "word": " مع", "probability": 0.9345703125}, {"start": 3857.96, "end": 3858.06, "word": " ال", "probability": 0.6572265625}, {"start": 3858.06, "end": 3858.22, "word": " moment", "probability": 0.837890625}, {"start": 3858.22, "end": 3858.42, "word": " of", "probability": 0.9775390625}, {"start": 3858.42, "end": 3858.68, "word": " inertia", "probability": 0.92138671875}, {"start": 3858.68, "end": 3859.16, "word": " فيزيائي", "probability": 0.87431640625}, {"start": 3859.16, "end": 3859.3, "word": " في", "probability": 0.7978515625}, {"start": 3859.3, "end": 3859.36, "word": " ال", "probability": 0.6103515625}, {"start": 3859.36, "end": 3859.5, "word": " moment", "probability": 0.80517578125}, {"start": 3859.5, "end": 3859.66, 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4007.2, "end": 4007.42, "word": " واحد", "probability": 0.992919921875}, {"start": 4007.42, "end": 4007.6, "word": " يكون", "probability": 0.982666015625}, {"start": 4007.6, "end": 4007.88, "word": " عنده", "probability": 0.986328125}, {"start": 4007.88, "end": 4008.04, "word": " net", "probability": 0.498291015625}, {"start": 4008.04, "end": 4008.18, "word": " في", "probability": 0.89208984375}, {"start": 4008.18, "end": 4008.5, "word": " داره", "probability": 0.8478190104166666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 4010.45775, "duration_after_vad": 3901.8334687499773}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2d6ee0243e6b0b43df6b91a3807864c90900d2df
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4.srt
@@ -0,0 +1,1535 @@
+1
+00:00:16,060 --> 00:00:21,860
+العشر اللي بيحكي عن الـ L-C circuits طبعا احنا في
+
+2
+00:00:21,860 --> 00:00:26,180
+نهاية لو جيت سألت أنا في نهاية الشطرين الماضين
+
+3
+00:00:26,180 --> 00:00:33,160
+أخذنا كجهاز الملف لو جينا الملف إيش وظيفته بيخزن 
+
+4
+00:00:33,160 --> 00:00:37,700
+طاقة مغناطيسية طب والـ capacitor برضه بيخزن طاقة
+
+5
+00:00:37,700 --> 00:00:42,660
+كهربية في عندي طاقة وطاقة جالي جيب مكثف ووصله
+
+6
+00:00:42,660 --> 00:00:46,100
+بملف إيش ممكن يصير معاك؟ بدنا نشوف إيش ممكن يصير
+
+7
+00:00:46,100 --> 00:00:50,000
+معاك قبل دقيقة رانيقال consider the circuit shown
+
+8
+00:00:50,000 --> 00:00:54,020
+with the capacitor is charged with Q maximum قال 
+
+9
+00:00:54,020 --> 00:00:58,880
+يجيب مكثف مشحون تماما يعني جواش فيه طاقة تمام
+
+10
+00:00:58,880 --> 00:01:03,920
+واصله بملافة الملف سلك ولا مش سلك أنت لما تليه
+
+11
+00:01:03,920 --> 00:01:08,520
+سلك بين طرفيه مكثف ايه ممكن يصير فيه مكثف؟ يفرق و
+
+12
+00:01:08,520 --> 00:01:13,200
+لا يفرق؟ يفرق طب الشحنات عاملها بتنجص ولا تنجصش؟
+
+13
+00:01:13,200 --> 00:01:17,040
+بتنجص يعني التيار متغير ولما يتغير التيار الملف
+
+14
+00:01:17,040 --> 00:01:21,530
+مش بيتغير معناه هو جاع بيفرغ الملف، جاع بيشتغل،
+
+15
+00:01:21,530 --> 00:01:24,310
+إيش عامة بيشتغل؟ جاع إما بيخزن طاقة أو جاع بيفق
+
+16
+00:01:24,310 --> 00:01:28,070
+الطاقة، إذا جاع بيخزن طاقة، وكأنه الطاقة اللي
+
+17
+00:01:28,070 --> 00:01:32,190
+مخزنة في المكثف أين بده تروح؟ تروح على الملف، طيب
+
+18
+00:01:32,190 --> 00:01:35,370
+هذا فاضي، تمام فاضي، طب وهذا الطاقة إيش بده
+
+19
+00:01:35,370 --> 00:01:39,910
+تدرسوها؟ بده يخللها؟ مش هيرجع يشحن المكثف كمان مرة
+
+20
+00:01:39,910 --> 00:01:46,270
+فيها بعدين هذا بعد ما ينشحن ينشحن وينطلق يعود بيفرغ
+
+21
+00:01:46,270 --> 00:01:50,570
+يعود بينطلق يعود بيفرغ وكأنه الطاقة رايحة جاية
+
+22
+00:01:50,570 --> 00:01:52,690
+مُنتقلة ما بين مرة على الـ capacitor ومرة على الـ
+
+23
+00:01:52,690 --> 00:01:54,570
+inductor مرة على الـ capacitor ومرة على الـ
+
+24
+00:01:54,570 --> 00:01:58,770
+inductor أو بمعنى آخر الشحنات كانت على المكثف راحت
+
+25
+00:01:58,770 --> 00:02:00,450
+على الـ inductor رجعت على المكثف راحت على الـ
+
+26
+00:02:00,450 --> 00:02:03,430
+inductor وكأنه الشحنات رايحة جاية أو الطيار رايح
+
+27
+00:02:03,430 --> 00:02:08,170
+جاية وكأنه بتحرك simple harmonic motion وكأنه 
+
+28
+00:02:08,170 --> 00:02:12,540
+بتحرك simple harmonic motion هذه شغلة نظرية كيف بدي
+
+29
+00:02:12,540 --> 00:02:15,480
+أثبت هوا قن الحالي فيها؟ زمان أخذنا البندولي
+
+30
+00:02:15,480 --> 00:02:18,880
+البسيط، ذاكرينه؟ البندولي البسيط إيش كانت فكرته؟
+
+31
+00:02:18,880 --> 00:02:25,000
+كان بيقولك هادي وهاي .. وبتحرك هيك رايح جاي،
+
+32
+00:02:25,000 --> 00:02:29,190
+هاي أنت لما أطلقه عند هذه النقطة مخزن طاقة ولا مش 
+
+33
+00:02:29,190 --> 00:02:31,850
+مخزن طاقة اللي هي الـ potential energy طاقة وضع
+
+34
+00:02:31,850 --> 00:02:37,070
+أطلقه هذه الطاقة تتحول لطاقة حركة هنا فقط حركة
+
+35
+00:02:37,070 --> 00:02:41,530
+الطاقة بتبقى موجودة maximum بتبقى بتتحول لطاقة وضع
+
+36
+00:02:41,530 --> 00:02:45,910
+بجهها بتعود ترجع إذا في تبادل ما بين طاقتين الحركة
+
+37
+00:02:45,910 --> 00:02:49,190
+والوضع في طاقة حركة بتصير وضع بدل دي تصير حركة
+
+38
+00:02:49,190 --> 00:02:53,090
+بعد دي تصير وضع أو هكذا ويامها زمان رسمنا رسم زي
+
+39
+00:02:53,090 --> 00:02:58,500
+هيك بنها du وk كانت الـ energy أو الـ potential energy
+
+40
+00:02:58,500 --> 00:03:06,860
+ونهيه وها K إذا كنتم ذاكرين وقلنا لما تكون U صفر
+
+41
+00:03:06,860 --> 00:03:10,500
+بتكون K maximum لما تكون U maximum بتكون K صفر
+
+42
+00:03:10,500 --> 00:03:15,510
+أيّام اتعاملنا معها طب هذه كيف يومتها أثبتت أنه 
+
+43
+00:03:15,510 --> 00:03:19,830
+بتفوح الـTG وقلنا رياضيا أي حاجة تثبتها أنها
+
+44
+00:03:19,830 --> 00:03:22,850
+simple harmonic motion فيه function مشهور في
+
+45
+00:03:22,850 --> 00:03:27,570
+الرياضيات لا ينتهي أبدا بكرر حاله على طول الشواء
+
+46
+00:03:27,570 --> 00:03:30,950
+الـsin والـcos صح ولا لأ لأن الشواء الـsimple
+
+47
+00:03:30,950 --> 00:03:35,330
+harmonic motion بيقول أي حركة تكرر نفسها بصورة
+
+48
+00:03:35,330 --> 00:03:38,530
+لانهائية تسمى simple harmonic motion الشواء
+
+49
+00:03:38,530 --> 00:03:41,190
+الـfunction الذي يكرر نفسه بصورة لانهائية الـsin والـ
+
+50
+00:03:41,190 --> 00:03:46,910
+cos فبالتالي كنا نقول إن X بتساوي إيه؟ cosine
+
+51
+00:03:46,910 --> 00:03:55,190
+Omega T زائد Delta مرت عليكم؟ هذه الـ amplitude هذه 
+
+52
+00:03:55,190 --> 00:03:58,990
+الـ amplitude وهذه Omega الـ frequency كنا أي X
+
+53
+00:03:58,990 --> 00:04:01,770
+بتكون هيك شكلها وأرسمها cosine و sin بيقول هذه
+
+54
+00:04:01,770 --> 00:04:05,990
+simple harmonic motion هذه كيف حلناها؟ برضه قبل ما
+
+55
+00:04:05,990 --> 00:04:10,570
+أخش بالتفاصيل كنا لو F بتساوي سالب K في الـ X قوة
+
+56
+00:04:10,570 --> 00:04:16,250
+إيش ده دي يا شباب؟ زنبرك تتحرك حركة توافقية بسيطة
+
+57
+00:04:16,250 --> 00:04:20,630
+ولا لأ؟ اه بعد كده قلنا كل حركة توافقية بسيطة
+
+58
+00:04:20,630 --> 00:04:24,910
+لازم القوة تكون بهذا الشكل هجيت K هذه للزنبرك أو
+
+59
+00:04:24,910 --> 00:04:27,930
+مش للزنبرك شغل تانية ثابت بالتالي الـ simple
+
+60
+00:04:27,930 --> 00:04:31,890
+harmonic motion قوته بهذا الشكل القوة اللي بتأثر
+
+61
+00:04:31,890 --> 00:04:34,490
+على الـ simple harmonic motion بتكون هيك شكلها وهذه
+
+62
+00:04:34,490 --> 00:04:38,470
+اللي دعوة بالـ G و L بالطول وبالجاذبية الأرضية طب
+
+63
+00:04:38,470 --> 00:04:44,020
+ليش؟ قال لي لأن هذه بتساوي M E نيوتن جان ولا لأ ولما
+
+64
+00:04:44,020 --> 00:04:48,640
+جال ايه جال هذه الشيه بتساوي M D تربيع X على DT
+
+65
+00:04:48,640 --> 00:04:53,140
+تربيع ذاكرينها شباب دي اللي هذه المعادلة اللي
+
+66
+00:04:53,140 --> 00:04:59,500
+وضعناها بصيغة أنك D تربيع X على DT square plus K
+
+67
+00:04:59,500 --> 00:05:03,640
+over MX بتساوي صفر هذه معادلة
+
+68
+00:05:06,130 --> 00:05:09,770
+هذه معادلة تفاضلية second order homogeneous
+
+69
+00:05:09,770 --> 00:05:13,410
+differential equation قال لي هذه حلها تطلع هذا
+
+70
+00:05:13,410 --> 00:05:20,870
+الحل هذي حلها هذا الحل X بتساوي إيه كوساين أمجا T
+
+71
+00:05:20,870 --> 00:05:23,390
+زائد دلتا يقول ليه أمجا قال ليها أمجا هذي أمجا
+
+72
+00:05:23,390 --> 00:05:27,950
+تربيها تطلع هذه المعادلة قطعة هذه حالة هذه معناته 
+
+73
+00:05:27,950 --> 00:05:32,030
+أي معادلة هيك شكلها بقول هذه قطعا simple harmonic
+
+74
+00:05:32,030 --> 00:05:35,930
+motion لأن حلها cos أو sin والـ cos بتمثل simple
+
+75
+00:05:35,930 --> 00:05:39,870
+harmonic motion طيب نشوف بقول الـ energy أو الـ Q هي
+
+76
+00:05:39,870 --> 00:05:43,330
+حاجة جاية معناته لازم يكون في علاقة طربة Q بتشبه
+
+77
+00:05:43,330 --> 00:05:47,190
+هذه العلاقة لأن إذا كانت هذه العلاقة صحيحة بجيب
+
+78
+00:05:47,190 --> 00:05:49,850
+الحل بقول cos أو sin إذا في عندي simple harmonic
+
+79
+00:05:49,850 --> 00:05:53,610
+motion وإذا بكون تيقنت أن الـ charge رايحة جاية
+
+80
+00:05:53,610 --> 00:05:58,170
+بقول لي after closing S أنا هاد المكثف مرياني لأن
+
+81
+00:05:58,170 --> 00:06:03,350
+شباب في Q maximum تمام؟ بدي أسكر، ببدأ المكثف
+
+82
+00:06:03,350 --> 00:06:07,570
+يفرغ، لفترضي المكثف يفرغ بالجيجا، خلاص ضفضة، بعد
+
+83
+00:06:07,570 --> 00:06:12,050
+عشرين ثانية، إيش بيكون عندك؟ بيكون هذا فقد جزء من 
+
+84
+00:06:12,050 --> 00:06:16,730
+شحناته ولا لأ؟ فقد جزء طبعا في هذه الحالة بقول
+
+85
+00:06:16,730 --> 00:06:20,210
+هنا في طاقة وهنا برضه في طاقة لو قلت لك أوجد لي
+
+86
+00:06:20,210 --> 00:06:22,650
+الطاقة الكلية بقول الطاقة الكلية الطاقة is a
+
+87
+00:06:22,650 --> 00:06:25,070
+scalar quantity ولا لأ إذا الطاقة الكلية هي
+
+88
+00:06:25,070 --> 00:06:26,890
+مجموعة الطاقة اللي هنا ومجموعة الطاقة اللي هنا
+
+89
+00:06:26,890 --> 00:06:32,210
+صحيح؟ طبعا بقول لي after closing S سكّلت S the
+
+90
+00:06:32,210 --> 00:06:35,990
+charge اللي في الـ capacitor will flow through the
+
+91
+00:06:35,990 --> 00:06:40,770
+inductor ويبدأ الـ charge يعمل discharging at some
+
+92
+00:06:40,770 --> 00:06:41,150
+time
+
+93
+00:06:51,250 --> 00:06:53,690
+الشحنات عاملها بتمشي، إذا كان فيه تيار، لو فيه
+
+94
+00:06:53,690 --> 00:06:56,530
+جلفانومتر بيعلم، لأن الشحنات عاملها بتفضغ، بتمشي
+
+95
+00:06:58,090 --> 00:07:01,230
+The total energy in the circuit بيدي total energy
+
+96
+00:07:01,230 --> 00:07:03,750
+بقدر أقول الـU total هو الـU اللي عند الـC والـU
+
+97
+00:07:03,750 --> 00:07:07,830
+اللي عند الـL؟ منطق طيب الـU تبعد الـC مش بيساوي Q
+
+98
+00:07:07,830 --> 00:07:11,470
+تربيع على 2C قانون زمان أخذناه وU تبعد الـL ساعة
+
+99
+00:07:11,470 --> 00:07:16,010
+المحاضرة الماضية قنها نص L I تربيع قال لي هدهم بدل
+
+100
+00:07:16,010 --> 00:07:22,730
+UC حطّت Q تربيع على 2C بدل UL حطّت نص L I تربيع طيب
+
+101
+00:07:22,730 --> 00:07:29,590
+قال لي هدى الـtotal وها دي بس الـ C وها دي بس الـ L
+
+102
+00:07:29,590 --> 00:07:33,830
+مبدأ الـ conservation of energy إيش بيقول؟ بيقول
+
+103
+00:07:33,830 --> 00:07:38,270
+هذه لازم تكون ثابتة هذه لازم تكون ثابتة فبالتالي
+
+104
+00:07:38,270 --> 00:07:41,870
+إيش بيقول لي؟ بيقول لي deriving the above equation
+
+105
+00:07:41,870 --> 00:07:44,610
+with respect to time بيقول لي فاضل بالنسبة للزمان
+
+106
+00:07:44,610 --> 00:07:50,180
+فاضل فضلنا هذه du total على dt وهذه بيضع فضلها
+
+107
+00:07:50,180 --> 00:07:52,760
+بالنسبة للزمان وهذه بيضع فضلها بالنسبة للزمان طبعا
+
+108
+00:07:52,760 --> 00:07:57,300
+واحد على اتنين c ثابت ونص الـ L ثابت تمام في حد
+
+109
+00:07:57,300 --> 00:08:02,780
+بيضع عشري فاضل شباب dU total constant dU total
+
+110
+00:08:02,780 --> 00:08:07,320
+constant إيش تفضلها Zero إيش تفضل dq تربيع على dt
+
+111
+00:08:07,320 --> 00:08:14,800
+مش اتنين q dq على dt وهذه اتنين I di على dt طبعا
+
+112
+00:08:14,800 --> 00:08:18,020
+اتنين مع النص بتروح واتنين مع النص بتروح بدي احط
+
+113
+00:08:18,020 --> 00:08:22,160
+هنا Q دي Q على دي T وهنا I دي I على دي T جالي
+
+114
+00:08:22,160 --> 00:08:28,500
+فاضل ويلا نشتغل فضلت الـ E totaled zero فصرت عندي 
+
+115
+00:08:28,500 --> 00:08:34,840
+بهذا الشكل نفس المعادلة في Q دي Q على دي T وفي I
+
+116
+00:08:34,840 --> 00:08:39,640
+دي I على دي T لأنه هي I تربيع لأنه كانت نص قل
+
+117
+00:08:41,090 --> 00:08:45,990
+I تربيع فضلوها بالنسبة للزمان هكما مرة بقول هذه
+
+118
+00:08:45,990 --> 00:08:52,510
+بيساوي اتنين على اتنين L وهنا I DI على DT إيه 
+
+119
+00:08:52,510 --> 00:08:56,470
+تفضلها نفس العملية بالـ Q تفضل عادي أخذته في الفصل
+
+120
+00:08:56,470 --> 00:09:01,610
+الأول وأخذته في التوجيه يمكن طيب قل لي دي Q على
+
+121
+00:09:01,610 --> 00:09:09,560
+دي T هذي I ولا مش I يعني بتساوي I صح ولا لأ؟ هو
+
+122
+00:09:09,560 --> 00:09:16,200
+نفس I طبعا دي I على دي T ماهي I بيساوي دي Q على دي 
+
+123
+00:09:16,200 --> 00:09:19,580
+T يعني هو بيقول لي but I بيساوي دي Q على دي T يعني دي
+
+124
+00:09:19,580 --> 00:09:22,860
+Q على دي T و I واحدة دسّمت عليهم فدي I على دي T
+
+125
+00:09:22,860 --> 00:09:25,700
+فضل هدي مرتين كمان مرة يعني مش هدي بيصيب مفضل
+
+126
+00:09:25,700 --> 00:09:30,260
+مرتين؟ بدي أجيب هدي اللي هي الـ دي I على دي T هي دي
+
+127
+00:09:30,260 --> 00:09:33,500
+وأحط محلها دي Square Q على دي T Square فصلت هيك
+
+128
+00:09:33,500 --> 00:09:45,720
+المعادلة في مشكلة؟ واكتبها جسم على L جسم على L هذه 
+
+129
+00:09:45,720 --> 00:09:53,600
+صحيح صحيح جسمنا على L square Q over DT square plus
+
+130
+00:09:53,600 --> 00:10:01,420
+1 على L C Q بالثانوية ثانوية هذا بدر Q وحط X هذه
+
+131
+00:10:01,420 --> 00:10:10,820
+أمتعة تربية بدر K على M وحطّت هنا مجتر بيه فصرت D2
+
+132
+00:10:10,820 --> 00:10:15,860
+X على DT2 plus M مجتر بيه X هنا بدر X إيش حطّيت؟ Q
+
+133
+00:10:15,860 --> 00:10:18,840
+هذه المعادلة هي حلها طب هذه المعادلة اللي بقدر
+
+134
+00:10:18,840 --> 00:10:22,400
+أقول هنا أحط Q هذه هذه مشي X maximum ولا مشي X
+
+135
+00:10:22,400 --> 00:10:26,940
+maximum؟ اشترينا عليه في ال amplitude شباب هي الـ
+
+136
+00:10:26,940 --> 00:10:30,720
+maximum displacement يعني هذه أصل هي x maximum طيب
+
+137
+00:10:30,720 --> 00:10:34,900
+هذي q بصورة إيمالية هذي بيحط معايا q maximum وهي 
+
+138
+00:10:34,900 --> 00:10:39,140
+cosine Omega T زي الـ Delta Delta I شغلها معينة
+
+139
+00:10:42,800 --> 00:10:46,060
+This differential equation is the simple harmonic
+
+140
+00:10:46,060 --> 00:10:49,460
+motion equation والسلويوشن اللي أنا بعرفه من
+
+141
+00:10:49,460 --> 00:10:54,320
+physics إيه أنه q بيصيروا q maximum بدل a cosine
+
+142
+00:10:54,320 --> 00:10:57,780
+omega t زي درجة أو جامعة تفرقش الثابت هيا بيسموه 
+
+143
+00:10:57,780 --> 00:11:01,980
+الـ phase angle أو الـ phase constant إذا معناته ما 
+
+144
+00:11:01,980 --> 00:11:05,720
+زال الـ q طلعت cosine وحنقف أن الـ cosine رايح جاي
+
+145
+00:11:05,720 --> 00:11:11,950
+معناته هذا تأكيد قطعي على أن الـ Q بتتبادل مرة 
+
+146
+00:11:11,950 --> 00:11:15,790
+بتكون Zero ومرة بتكون Maximum ومرة بترجع Zero و
+
+147
+00:11:15,790 --> 00:11:19,890
+مرة بتكون Maximum بالعكس وهكذا إذا الـ Q في 
+
+148
+00:11:19,890 --> 00:11:23,870
+الـ capacitor شباب كانت Maximum صارت صفر رجعت Maximum
+
+149
+00:11:23,870 --> 00:11:27,590
+بس انعكس الـ polarity بتاعة الـ capacitor بعدين رجعت
+
+150
+00:11:27,590 --> 00:11:34,010
+Zero وهكذا هذه هي تأكيد قطعي على أن الـ Q بتتناوج
+
+151
+00:11:34,010 --> 00:11:38,870
+ما بين الـ capacitor والـ Inductor تمام طب قول لي هذه
+
+152
+00:11:38,870 --> 00:11:41,050
+الجامعة اللي خليني اشتغل عليها كيف بدي أجيبها؟
+
+153
+00:11:41,050 --> 00:11:44,350
+قول لي في عندك معلومات أنت أولية في السؤال بقول لك الـ
+
+154
+00:11:44,350 --> 00:11:49,230
+T بيساوي صفر جدّيش كانت Q على الكباسيتر؟ maximum كانت 
+
+155
+00:11:49,230 --> 00:11:53,270
+Q maximum بقول لي to find the constants we know that 
+
+156
+00:11:53,270 --> 00:11:57,550
+أن Q بيساوي Q maximum الـ T بيساوي صفر حط محل T هنا
+
+157
+00:11:57,550 --> 00:12:01,070
+صفر وحط محل هنا Q إيش بيكون؟ Q maximum طب عمليا
+
+158
+00:12:01,070 --> 00:12:05,370
+ما حطّش بقى بس بيبني الـ Q هذي بيحط Q maximum ساوي
+
+159
+00:12:05,370 --> 00:12:12,910
+هنا Q maximum كوساين بدل أوميجا في صفر قدّاش إيش
+
+160
+00:12:12,910 --> 00:12:17,850
+بدون عندك جامعة جدّاش كوساين جامعة هنا وشي الزاوية
+
+161
+00:12:17,850 --> 00:12:22,390
+لكوساينها واحد زيرو إذا جامعة بتساوي زيرو تمام
+
+162
+00:12:22,390 --> 00:12:25,710
+إذا دلتا جت ثابت زيرو في سؤالك إذا معناته Q
+
+163
+00:12:25,710 --> 00:12:29,710
+بتساوي Q maximum كوساين أوميجا T هي Q طيب تقدر 
+
+164
+00:12:29,710 --> 00:12:34,790
+تجيب تيار في علاقة بين Q وتيار ماشي تيار تفاضل q
+
+165
+00:12:34,790 --> 00:12:41,330
+بالنسبة للزمان هي q فضلها بتعرفش تفاضل الـ cos سالب
+
+166
+00:12:41,330 --> 00:12:46,590
+وبيخرج omega برة لأنه الـ variable T طبعا omega زي 
+
+167
+00:12:46,590 --> 00:12:49,470
+ما اتفقنا احنا قررنا هذه omega تربيع بالتالي هذه
+
+168
+00:12:49,470 --> 00:12:55,140
+1 على Lc تمام؟ إيش وحدة omega يا شباب؟ radian ع
+
+169
+00:12:55,140 --> 00:13:01,700
+سكنت أو وعد ع سكنت أو hills وعد هدى نجرب هدى إيه
+
+170
+00:13:01,700 --> 00:13:06,680
+اللي بتوعف وعدتها مش Henry وهدي مش Farad لازم لما
+
+171
+00:13:06,680 --> 00:13:09,900
+اضربهم يطلع واحد ع second دير بالكم لا يونيت ي
+
+201
+00:15:10,210 --> 00:15:14,210
+في يوم دي يا شباب I maximum شو Q maximum في 
+
+202
+00:15:14,210 --> 00:15:19,610
+Omega؟ اه و I maximum  ساوي Q maximum في Omega. إذن
+
+203
+00:15:19,610 --> 00:15:25,450
+الآن زي ما Q و I حاجة برضه I حاجة لأن طول ما
+
+204
+00:15:25,450 --> 00:15:30,630
+الشحنات بتمشي يا شباب في تيار، فضّن كبست، راح التيار،
+
+205
+00:15:30,630 --> 00:15:35,050
+إذا التيار شوية شوية عمله بيزيد، برجع التيار لأن
+
+206
+00:15:35,050 --> 00:15:39,310
+ساعتها بده يبدأ المكثف ينشحن، بعد ما فضّن بده 
+
+207
+00:15:39,310 --> 00:15:43,270
+ينشحن، بعدين بده يفضّن، بعدين برجع، بتنقص لحدّ
+
+208
+00:15:43,270 --> 00:15:47,170
+Zero، بعدين بنكرر، بتزيد لحدّ Maximum، وهكذا، برضه
+
+209
+00:15:47,170 --> 00:15:51,170
+التيار بيكون عبارة عن sin و cos و الـ sin
+
+210
+00:15:51,170 --> 00:15:54,910
+رياضية نفس الـ function، الفرق بينهم وين واحد بيبدأ 
+
+211
+00:15:54,910 --> 00:15:57,930
+الـ cos بيبدأ من maximum والـ sin بيبدأ من الـ
+
+212
+00:15:57,930 --> 00:16:02,710
+zero، مظبوط ولا لأ؟ لإنه لو جيت بدّرسهم هي Q maximum 
+
+213
+00:16:02,710 --> 00:16:07,210
+zero maximum من ناحية تانية zero maximum هكذا
+
+214
+00:16:07,210 --> 00:16:11,630
+التيار بيبدأ
+
+215
+00:16:11,630 --> 00:16:28,450
+من zero لأن cos صفر Q maximum لكن صفر صفر صفر 
+
+216
+00:16:28,450 --> 00:16:36,870
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+217
+00:16:38,580 --> 00:16:42,860
+خمسة ماكرو كولوم، هذه بدي أحطها 100 أمبير، مصحّى
+
+218
+00:16:42,860 --> 00:16:46,420
+اللي؟ ليش
+
+219
+00:16:46,420 --> 00:16:53,940
+مصحّى ليش؟ تعرف
+
+220
+00:16:53,940 --> 00:17:01,360
+تقارن من أكبر يا شباب، خمسة كيلو جرام ولا 100 متر،
+
+221
+00:17:01,360 --> 00:17:07,050
+من أكبر؟ اه، من أكبر، تقدر تقول 100 متر أكبر؟ وهذه
+
+222
+00:17:07,050 --> 00:17:09,210
+نفس العملية، لا تقدر تقول من أكبر، ليش؟ هذه ليست
+
+223
+00:17:09,210 --> 00:17:12,670
+واحدتها، بيبقوا كلهم هذين بيبقوا .. يعني ممكن نعمل
+
+224
+00:17:12,670 --> 00:17:14,950
+ايه اللي بدكم اياه، ليش واحد يقول هذه أكبر من
+
+225
+00:17:14,950 --> 00:17:17,590
+هذه، لأ، هذه رسمة، هيك، هو الاصل اللي بتسميه كل
+
+226
+00:17:17,590 --> 00:17:20,650
+واحد هيرسمها لحاله، لكن لو أخططهم مع بعض، ما فيش 
+
+227
+00:17:20,650 --> 00:17:24,690
+مقارنة بينهم، لأن they are completely different
+
+228
+00:17:24,690 --> 00:17:29,750
+two quantities، بالتالي we can't compare between 
+
+229
+00:17:29,750 --> 00:17:30,070
+them
+
+230
+00:17:34,410 --> 00:17:39,230
+طبعا احنا بنعرف أن omega لها علاقة بالزمن الدوري
+
+231
+00:17:39,230 --> 00:17:44,130
+ولا لأ يا شباب omega 2π على T لأن omega بيساوي 2π
+
+232
+00:17:44,130 --> 00:17:49,010
+في الـ frequency وبعرفش جت omega بيساوي 2π f، هذين 
+
+233
+00:17:49,010 --> 00:17:53,730
+تعرفين 2π من وين اجت؟ من وين اجت 2π؟ عشان عمرنا ما
+
+234
+00:17:53,730 --> 00:17:59,250
+ننساها، ايش يعني Angular؟ يعني خلّيني أقول، خلّيني
+
+235
+00:17:59,250 --> 00:18:03,930
+أتذكر طب، وقلتلك هذه radian per second صح؟ وهذه
+
+236
+00:18:03,930 --> 00:18:07,950
+دورة لكل second، الدورة كم radian؟ اتنين باي،
+
+237
+00:18:07,950 --> 00:18:13,030
+اتنين باي، فهذه اتنين باي هي الدورة، الدورة، عشان 
+
+238
+00:18:13,030 --> 00:18:16,150
+كده بنقول هذه دورة، هذه radian، فالدورة بيساوي 
+
+239
+00:18:16,150 --> 00:18:20,810
+اتنين باي زي لما أقول أنا لإخر ما أحول من كيلومتر
+
+240
+00:18:20,810 --> 00:18:25,870
+لمتر، بديهية، عشان الـ kilometer في الألف عشان الـ
+
+241
+00:18:25,870 --> 00:18:28,730
+kilometer في الألف بس، وهذه نفس العملية عشان 2 
+
+242
+00:18:28,730 --> 00:18:30,990
+باي يتذكر، بقول أن هو أجنبي، أن اوميجا بساوي 2 
+
+243
+00:18:30,990 --> 00:18:34,110
+باي في F والـ F 1 على τ والـ τ هو الزمن الدوري
+
+244
+00:18:34,110 --> 00:18:38,530
+بتصل عندي Q بساوي Q maximum بعد ω اللي أولاً
+
+245
+00:18:38,530 --> 00:18:42,270
+نية حطّت هنا، والـ I بساوي سالب I maximum sign، فهذه 
+
+246
+00:18:42,270 --> 00:18:47,530
+الورقات اللي موجودة ما فيش عندي أي إشكالية طبعا هذه
+
+247
+00:18:47,530 --> 00:18:53,480
+بيفرجيك كيف صورة الرسم عنده، بقول هي كبست هذه كان
+
+248
+00:18:53,480 --> 00:18:56,660
+مليان positive و negative مزايا، مليان إذا إني أزها
+
+249
+00:18:56,660 --> 00:19:01,460
+في مجال كهربائي، قطعًا هذا كان سلك عادي، ما فيش فيه
+
+250
+00:19:01,460 --> 00:19:05,360
+شيء، أول ما سكرت مفتاح بدل .. هنا كانت تيار صفر
+
+251
+00:19:05,360 --> 00:19:08,650
+وأول ما سكرت مفتاح بدل التيار يمشي، بذاتبدأ التيار
+
+252
+00:19:08,650 --> 00:19:11,770
+يمشي، يشتغل الملف، الملف بيشتغل لما التيار يكون
+
+253
+00:19:11,770 --> 00:19:15,010
+بتغير، وأنا في الـ charging والـ discharging التيار 
+
+254
+00:19:15,010 --> 00:19:18,490
+بتغير، ما زال التيار بتغير، ما ازال هذا بدأ يشتغل
+
+255
+00:19:18,490 --> 00:19:22,850
+صار يخزن طاقة مغناطيسية عشان كده في مجال مغناطيسي 
+
+256
+00:19:22,850 --> 00:19:28,980
+في مجال مغناطيسي من التيار تمامًا، لما هذه يفضي، هذه
+
+257
+00:19:28,980 --> 00:19:32,840
+فضى، وليه محطّوطة؟ هنا فهنا المجال الكهربائي صفر،
+
+258
+00:19:32,840 --> 00:19:35,380
+لكن المجال المغناطيسي موجود ولا لا؟ واتجاهه لأسفل
+
+259
+00:19:35,380 --> 00:19:39,260
+المجال المغناطيسي بحسب قاعدة اليد اليمنى، فالآخر
+
+260
+00:19:39,260 --> 00:19:42,360
+بعد ما هذه فضى، الطاقة اللي هنا داش طاقة مخزنة،
+
+261
+00:19:42,360 --> 00:19:47,360
+لأن الدائرة مغلقة، بتعود هذه بيشحن هذه، فانشحنت، بس
+
+262
+00:19:47,360 --> 00:19:50,960
+ايش رأيك؟ هذه positive، هذه ايش؟ negative، عشان كده
+
+263
+00:19:50,960 --> 00:19:53,740
+هذه لو كانت هذه positive، التاني ايش بتكون؟
+
+264
+00:19:53,740 --> 00:19:58,440
+negative، بين عكسه، فهذا العكس .. صار في مجال تعبير
+
+265
+00:19:58,440 --> 00:20:02,320
+بس عكس هذا .. نرجع لهنا .. رجع .. فضّع .. تلاقي
+
+266
+00:20:02,320 --> 00:20:04,480
+عندي مجال مغناطيسي بس المرة العادية لأعلى .. عكس 
+
+267
+00:20:04,480 --> 00:20:09,700
+هذا .. وهكذا .. مضلّ رايح جاي .. طبعا المنطق أنه
+
+268
+00:20:09,700 --> 00:20:11,960
+زي البندول البسيط .. البندول البسيط دخّلوا يعملوا
+
+269
+00:20:11,960 --> 00:20:14,540
+في المعمل .. حاطّينه مضلّ رايح جاي .. لو جيتوا
+
+270
+00:20:14,540 --> 00:20:18,000
+تاني يوم مضلّ رايح جاي .. فهيبقوا جواه جافة .. إذا
+
+271
+00:20:18,000 --> 00:20:22,630
+هلّأ بطّل Simple Harmonic Motion، where راح الطاقة؟ فقدت
+
+272
+00:20:22,630 --> 00:20:27,750
+من وين؟ من الاحتكاكات ومقاومة الهواء، الاحتكاك
+
+273
+00:20:27,750 --> 00:20:31,950
+والمقاومات in general، سمّيناها non conservative
+
+274
+00:20:31,950 --> 00:20:37,290
+forces، صحّ ليش؟ بأذكر عشان قلنا سمّيناها non
+
+275
+00:20:37,290 --> 00:20:40,230
+conservative force لأنها لا تحافظ على الطاقة،
+
+276
+00:20:40,230 --> 00:20:45,190
+بتبيّع الطاقة، فبالتالي الطاقة، حتى واتفقنا أن طاقة
+
+277
+00:20:45,190 --> 00:20:48,630
+حركة وطاقة اقتوانها اتحولها طاقة حركة، بعدين طاقة 
+
+278
+00:20:48,630 --> 00:20:52,070
+الحركة صارت طاقة وضع نفسها، فبيبقي على أي حجار،
+
+279
+00:20:52,070 --> 00:20:55,970
+لكن إذا في طاقة فقدت، بيصير طاقة الوضع جزء منها
+
+280
+00:20:55,970 --> 00:21:01,280
+حركة، وجزء ضاع، مقاومة، هواء أو احتكاكات، فبالتالي،
+
+281
+00:21:01,280 --> 00:21:04,600
+لو كانت هذه عشرة، المفروض تصل هنا عشرة عشان تظهرها 
+
+282
+00:21:04,600 --> 00:21:07,300
+Simple Harmonic Motion لكن في الواقع، إذا كانت هذه
+
+283
+00:21:07,300 --> 00:21:11,020
+عشرة، فهي تظهر تسعة ونصف، بعدين تصل هنا تسعة عشان
+
+284
+00:21:11,020 --> 00:21:13,980
+كده بتكون هذه الارتفاع على كم سطر، التي هنا بيصير
+
+285
+00:21:13,980 --> 00:21:18,060
+أربعة ونصف مظبوط أو لا، وبتدورها شوية شوية، تقلّ،
+
+286
+00:21:18,060 --> 00:21:21,800
+لما تجيها ثاني يوم، بتلاقيها واقفة، يعني بيصير صفر،
+
+287
+00:21:21,800 --> 00:21:24,820
+وهذه بيسمّيها Damped Oscillations اللي ما أخذناش 
+
+288
+00:21:24,820 --> 00:21:30,460
+الفيزياء والف ما هناخدها هنا، طب احنا نظريًا هنا بنعتبر 
+
+289
+00:21:30,460 --> 00:21:34,340
+الأسلاك اللي في الدائرة مقاومتها zero لكن في الواقع
+
+290
+00:21:34,340 --> 00:21:38,860
+مقاومتها zero؟ لأ، زي هناك بالنظر اللي بنقول ما فيش 
+
+291
+00:21:38,860 --> 00:21:41,460
+مقاومة هواء لكن في الواقع في مقاومة هواء ولا لأ
+
+292
+00:21:41,460 --> 00:21:45,540
+فهناك بنهمل وهنا بنهمل شغلة، فنظريًا في عندي Simple 
+
+293
+00:21:45,540 --> 00:21:50,120
+Harmonic Motion، في الواقع في عندي فقدان للطاقة، كيف 
+
+294
+00:21:50,120 --> 00:21:53,650
+تفقد؟ الطاقة في عندك طاقة تفقد، I تربيع في الـ R، الـ
+
+295
+00:21:53,650 --> 00:21:58,310
+power، هذه الـ Watt، واط، على طبعا في زمان تطلع فيه
+
+296
+00:21:58,310 --> 00:22:00,970
+عندك energy فبالتالي الأسلاك هذه اللي انت بتعتبر
+
+297
+00:22:00,970 --> 00:22:04,730
+مقاومتها zero هي لها مقاومة وبالتالي في طاقة تفقد
+
+298
+00:22:04,730 --> 00:22:09,170
+عشان كده لما تمسك السلك بتلاقيه سخن، وإذن هذه طاقة 
+
+299
+00:22:09,170 --> 00:22:14,090
+ولا مش طاقة، طاقة لازم تكون أخذت من الـ UC مرة أو من
+
+300
+00:22:14,090 --> 00:22:20,090
+الـ UL مرة، فهذه العملية، الشغلة، طبعا خلّينا نشتغل شغل
+
+301
+00:22:20,090 --> 00:22:24,410
+تاني، قولي ارجع للـ energy، انت بدأت أن u total بتساوي
+
+302
+00:22:24,410 --> 00:22:29,350
+u c زائد u L و Q تربيع على 2C زائد نصف الـ I تربيع
+
+303
+00:22:29,350 --> 00:22:33,910
+انت الآن بعد ما اشتغلت، طلعتلي جديش Q جديش I وقولتي
+
+304
+00:22:33,910 --> 00:22:40,110
+لي Q بيساوي Q maximum cos ωT وقولتي لي
+
+305
+00:22:40,110 --> 00:22:45,250
+I بيساوي نهار سالب I maximum sin ωT ماشيكتوا
+
+306
+00:22:45,250 --> 00:22:50,800
+الله علينا وياكم كوي؟ قولتي عوض، أعود في النهاية بدي
+
+307
+00:22:50,800 --> 00:22:54,180
+أثبت يا شباب أن هذه U total لازم تطلع ثابتة وإلا بكون
+
+308
+00:22:54,180 --> 00:22:57,800
+فيه إشكالية لأن U total is conserved، لازم تكون 
+
+309
+00:22:57,800 --> 00:23:00,660
+ثابتة هي مقعد Conserved دي، نعود فيها، قولنا يلّا
+
+310
+00:23:00,660 --> 00:23:07,500
+نعود، ربيّ الحادي، ربعناها وحطّينا 2 sec،  sai، طب
+
+311
+00:23:07,500 --> 00:23:11,920
+ربيّ الحادي السالب راح مظبوط ولا لأ؟ راح السالب ف I 
+
+312
+00:23:11,920 --> 00:23:16,940
+maximum تربيع، طيب لو قلتلي انت I maximum بساوي
+
+313
+00:23:16,940 --> 00:23:22,340
+ω في Q maximum صح ولا لأ؟ طب و ω بتساوي
+
+314
+00:23:22,340 --> 00:23:28,460
+1 على √LC الـ Q maximum ولا لأ؟ مظبوط ولا لأ؟
+
+315
+00:23:28,460 --> 00:23:33,320
+طويصة اشتغلناها، جاني معوّض بدل I maximum تربيع أنك 
+
+316
+00:23:33,320 --> 00:23:37,280
+تحطّ ω، إذا بيقولي هنا I maximum ساوي ω Q
+
+317
+00:23:37,280 --> 00:23:40,820
+maximum وبدل ω حطّيت 1 على √LC Q maximum
+
+318
+00:23:40,820 --> 00:23:44,980
+ربّحها وحطّها هنا يا شباب، أتري ايش بيحطها؟ ربحوها دي L 
+
+319
+00:23:44,980 --> 00:23:49,920
+C هنا في L بيصير 2C في المقام ولا لأ؟ 2C وبدل هنا
+
+320
+00:23:49,920 --> 00:23:53,480
+Q maximum تربيع، هذا بيصير هذا I من المشترك، هذا
+
+321
+00:23:53,480 --> 00:23:56,040
+بيصير عالم الشركات .. ايش بدوّر دي؟ هو قصاد تربيع زي 
+
+322
+00:23:56,040 --> 00:24:01,100
+قصاد تربيع، جديش ايش؟ واحد، طلعت هيك .. قصاد تربيع زي
+
+323
+00:24:01,100 --> 00:24:04,280
+قصاد تربيع بتساوي واحد .. بلّ هذا بلّ .. في أي عامل
+
+324
+00:24:04,280 --> 00:24:09,820
+زمن هنا الـ .. الـ u total بتساوي اما Q maximum تربيع 
+
+325
+00:24:09,820 --> 00:24:13,820
+على 2C أو بتساوي نصف الـ I maximum تربيع، يعني الـ
+
+326
+00:24:13,820 --> 00:24:17,080
+total، الـ maximum في الـ capacitor هي الـ total ولا 
+
+327
+00:24:17,080 --> 00:24:20,400
+مش الـ total، لما تفضل في الـ capacitor ايش بيكون في
+
+328
+00:24:20,400 --> 00:24:24,040
+الـ inductor كان عنده maximum ولا لأ؟ لما يقول أوجد
+
+329
+00:24:24,040 --> 00:24:27,960
+u maximum في واحد منهم، هو الـ u total تمام، وبيصير
+
+330
+00:24:27,960 --> 00:24:33,000
+زي هذه الرسمة، إن هذه هي الـ total، الـ total energy
+
+331
+00:24:33,000 --> 00:24:36,440
+بين كينيتك energy و الـ potential energy، بس هنا
+
+332
+00:24:36,440 --> 00:24:40,220
+بين الـ u تبعت الـ c و الـ u تبعت الـ L، يعني لو جيت 
+
+333
+00:24:40,220 --> 00:24:45,160
+صمّمت نفس الرسمة بيقول 
+
+334
+00:24:45,160 --> 00:24:50,540
+إن الزرقاء هي u c والحمراء هي u L، لما الحمراء تكون
+
+335
+00:24:50,540 --> 00:24:55,110
+maximum، لما الزرقاء مش بتكون zero، ولما الزرقاء تكون
+
+336
+00:24:55,110 --> 00:25:00,370
+maximum، الحمراء بتكون down، فهذه دلالة على أن الـ U
+
+337
+00:25:00,370 --> 00:25:05,970
+بتتناوب ما بين الـ C وبين الـ L إلى ما لا نهاية طبعا
+
+338
+00:25:05,970 --> 00:25:10,710
+واحد بيجي جولته، وكنا نحكي احنا عن الفضائيات والـ
+
+339
+00:25:10,710 --> 00:25:15,850
+receivers وكل هذه الأمور، الـ LC circuit أكبر
+
+340
+00:25:15,850 --> 00:25:21,590
+تطبيق لها، في الراديوهات، جوايع الراديو، فاتقوا من
+
+341
+00:25:21,590 --> 00:25:23,730
+الراديو اللي في جوالكم، خلّيني أجي على الراديو
+
+342
+00:25:23,730 --> 00:25:28,750
+القديم الكبير، مش كنت أنا فيه زر بن .. بنحرك فيه من
+
+343
+00:25:28,750 --> 00:25:33,670
+محطة لمحطة، وزي ما بحكي سيادتكم إذا عايشين تيجي
+
+344
+00:25:33,670 --> 00:25:36,590
+تسأله، مش كانوا يسمعوا زمان، بقولك كان في محطتين
+
+345
+00:25:36,590 --> 00:25:40,970
+اسمعها، وفي محطة كان في مذيع اسمه أحمد سعيد، عشان كده 
+
+346
+00:25:40,970 --> 00:25:43,330
+جيت .. لما واحد يكذب يقول بقى كذاب زي أحمد سعيد
+
+347
+00:25:43,330 --> 00:25:48,510
+المثل، لأن في حرب الـ 67 ده أحمد سعيد كان هو المعلق
+
+348
+00:25:48,510 --> 00:25:51,570
+فكان من تعليقاته أن طائرات العدو تسقط زي الذباب .. 
+
+349
+00:25:51,570 --> 00:25:54,570
+زي .. زي الذباب، بعد ست أيام جميعهم راحوا الصين والجولان 
+
+350
+00:25:54,570 --> 00:25:58,670
+والضفة الغربية وغزة و .. فكان هو المذيع 
+
+351
+00:25:58,670 --> 00:26:03,650
+تبع صوت العرب، صوت رعاب، بحطّ رعاها جمال عبد الناصر
+
+352
+00:26:03,650 --> 00:26:08,130
+بأيام القومية العربية، ما عرف ضلت ولا ماضلتش أنا 
+
+353
+00:26:08,130 --> 00:26:12,350
+دايما ولا ماضلتش، فكانوا اختياراتنا عشان لأنه طبعا
+
+354
+00:26:12,350 --> 00:26:15,470
+أن أنتم عارفين واحد بيحب شغله تدي الأمل فكانوا 
+
+355
+00:26:15,470 --> 00:26:18,430
+دايما يسمعوله، ولكن بقى جواه كذاب، طبعا عملوا مثل
+
+356
+00:26:18,430 --> 00:26:22,390
+أنه كذاب، وكانت جانبها محطة اسمها الـ BBC لندن إنها 
+
+357
+00:26:22,390 --> 00:26:26,350
+موجودة برضه يختاروها، كانوا يحبوا يسمعوها لأنه من 
+
+358
+00:26:26,350 --> 00:26:30,450
+زمان المصداقية كانت موجودة عندهم من زمان واحنا 
+
+359
+00:26:30,450 --> 00:26:37,010
+معروفين، محطاتنا تلتبع أخبارهم كذب، وشوف لك خبر أو
+
+360
+00:26:37,010 --> 00:26:40,990
+نص خبر، دي هو بيكون صدّقه لأ أنت غيرت أمور، فأنت لما 
+
+361
+00:26:40,990 --> 00:26:45,090
+تغيّر من محطة لمحطة، ايش بتسوي؟ يا شباب، وعلى وأنت تجيب
+
+362
+00:26:45,090 --> 00:26:50,790
+الراديو في كل دائرة receiver، راديو ولا تلفزيون ولا
+
+363
+00:26:50,790 --> 00:26:55,130
+لا جوال ولا أي حاجة، في النهاية أنت بتستخدم الموجة
+
+364
+00:26:55,130 --> 00:26:58,970
+بغض النظر، موجة الجوال ماهي موجة برضه
+
+401
+00:29:39,610 --> 00:29:45,050
+محطة تقوية و مرات بيحطوها على برج سكني و كان فيه
+
+402
+00:29:45,050 --> 00:29:48,570
+خلاف أنها اللي هي مضرة ولا مش مضرة لكن في النهاية
+
+403
+00:29:48,570 --> 00:29:53,480
+عشان أنت تجيب الخدمة بصورة جيدة لازم تكون في محطة
+
+404
+00:29:53,480 --> 00:29:57,160
+تقوية وإلا محطة تقوية لمدينة زي غزة مثلا لازم
+
+405
+00:29:57,160 --> 00:30:00,480
+تكون في أكثر من محطة وإلا بصير مرات تكون الرسالة
+
+406
+00:30:00,480 --> 00:30:05,220
+ما بتجمعش زي مثلا لما تروح أنت ع بدروم بتلاقي الرسالة
+
+407
+00:30:05,220 --> 00:30:10,830
+تبعك ما بتجمعش لإنه بدك الموجة تجيك بـ energy مناسبة
+
+408
+00:30:10,830 --> 00:30:15,030
+حتى يقدر جهاز الجوال ياخذها ويحولها لإنه في 
+
+409
+00:30:15,030 --> 00:30:19,230
+النهاية الأصوات اللي بتسمحها محملة بموجات
+
+410
+00:30:19,230 --> 00:30:22,390
+كهرومغناطيسية وأنت بتاخذها وبتعالجها وبتصير في
+
+411
+00:30:22,390 --> 00:30:26,290
+عندك العملية نفس عملية البث التلفزيوني ولا البث 
+
+412
+00:30:26,290 --> 00:30:31,490
+الإذاعي كلها بتحمل نفس الشغلات تمام
+
+413
+00:30:41,250 --> 00:30:45,670
+مثال سهل جدا الموجود على هذا الموضوع بيقول لي
+
+414
+00:30:45,670 --> 00:30:54,310
+خلينا نرسم الدائرة في عندك كبستير C بتساوي 9 Picofarad
+
+415
+00:30:55,980 --> 00:31:02,480
+والملف 2.81 ميلي هنري في عندك بطارية لو سمحت اس
+
+416
+00:31:02,480 --> 00:31:06,380
+اتنين وخلت اس واحد مفتوح إيش بيصير في الكبستير؟
+
+417
+00:31:06,380 --> 00:31:10,360
+بيشحن.. بيشحن.. بتقدر تجيب ال Q maximum؟ كده؟
+
+418
+00:31:11,760 --> 00:31:17,480
+اللي هي 12×9×10-12 هيك بتكون ضمنت إنك كبست من تلت 
+
+419
+00:31:17,480 --> 00:31:22,120
+أمانة ولا لأ؟ تمام، ال key maximum جيتها افتح S2 
+
+420
+00:31:22,120 --> 00:31:28,160
+أصفار البطارية فسلطة نهمة خلصت شحانات مكثفة طب الآن 
+
+421
+00:31:28,160 --> 00:31:32,420
+افتح ساكر S1 سلط عندك LC circuit ولا لأ بفتح عملية
+
+422
+00:31:32,420 --> 00:31:36,160
+الاهتزاز تروح وتيجي بقولي consider the circuit
+
+423
+00:31:36,160 --> 00:31:43,520
+shown first S1 is open التحتاني و S2 مقفل لإن
+
+424
+00:31:43,520 --> 00:31:45,420
+الكبستير مشحن
+
+425
+00:32:12,490 --> 00:32:18,210
+و C مدهش شغل مدهش كل إيه تاني يشتغل تمام فعندي Q
+
+426
+00:32:18,210 --> 00:32:21,130
+maximum أنتوا طلعتوها Q maximum ولا لأ؟ مش Q
+
+427
+00:32:21,130 --> 00:32:23,830
+maximum هي التسعة في اثنا عشر في عشر سالب اثنا عشر في
+
+428
+00:32:23,830 --> 00:32:28,930
+اثنا عشر طب I maximum إيش علاقتها بـ Q maximum I 
+
+429
+00:32:28,930 --> 00:32:31,430
+maximum بيساوي أوميغا في Q maximum تماشي أوميغا 
+
+430
+00:32:31,430 --> 00:32:34,510
+طلعتها هنا أنت و Q maximum طلعتها طلعتها بعدين 
+
+431
+00:32:34,510 --> 00:32:38,550
+بيقولي أو يضع I و Q as a function of T تمام
+
+432
+00:32:40,150 --> 00:32:43,850
+Solution بيقولوا ال frequency is given by الـ calculator 
+
+433
+00:32:43,850 --> 00:32:48,170
+مشتغلت واحد على ال C وهي ال L وهي ال C
+
+434
+00:32:48,170 --> 00:32:53,030
+حولت من Pico Farad لـ Farad وحولت من Henry لـ Henry
+
+435
+00:32:53,030 --> 00:32:57,670
+طلعت الجواب تمام The maximum charge on the
+
+436
+00:32:57,670 --> 00:33:00,890
+capacitor is the initial charge before opening S2
+
+437
+00:33:11,710 --> 00:33:16,630
+الأخر في الفرع B I maximum بقوله I maximum بتساوي
+
+438
+00:33:16,630 --> 00:33:20,110
+أوميغا في Q maximum أوميغا طلعت من الفرع الأول و Q
+
+439
+00:33:20,110 --> 00:33:24,550
+maximum عملك بتطلعها فطلعت 6.79 10 to power minus
+
+440
+00:33:24,550 --> 00:33:30,530
+4 ampere هذه أقصى تيار في الدائرة بقي كده بقول أوجد 
+
+441
+00:33:30,530 --> 00:33:34,430
+لي Q و I as a function of T بقول القانون اللي
+
+442
+00:33:34,430 --> 00:33:37,430
+بوضبط Q مع الزمن بقول Q بيساوي Q maximum cosine
+
+443
+00:33:37,430 --> 00:33:40,510
+أوميغا T هاي ال Q maximum طلعت عندي و أوميغا أنا
+
+444
+00:33:40,510 --> 00:33:44,010
+بعرفها عود وهو بيديها بدل الزمن خليها بدل
+
+445
+00:33:44,010 --> 00:33:47,170
+الزمن فحرفات بدل Q maximum حرفات بدل أوميغا وهي
+
+446
+00:33:47,170 --> 00:33:54,410
+الزمن و I maximum مش قانونها هدي I maximum هدي I أي
+
+447
+00:33:54,410 --> 00:33:58,750
+maximum sine أوميغا t برضه بتعود وبتطلع النتيجة
+
+448
+00:33:58,750 --> 00:34:06,210
+تمام؟ إذا الحل تلقاه وسهل جدا، هيك بنكون أنهينا
+
+449
+00:34:06,210 --> 00:34:06,790
+هذا ال chapter 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c145faf516e6779677646185d9c443c9fcddddc8
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_postprocess.srt
@@ -0,0 +1,1796 @@
+1
+00:00:16,060 --> 00:00:21,860
+العشر اللي بيحكي عن ال L-C circuits طبعا احنا في
+
+2
+00:00:21,860 --> 00:00:26,180
+نهاية لو جيت سألت انا في نهايةالشبطرين الماضين
+
+3
+00:00:26,180 --> 00:00:33,160
+أخدنا كجهاز الملف لو جلنا الملف إيش وظيفته بيخزن
+
+4
+00:00:33,160 --> 00:00:37,700
+طاقة مغناطسية طب و ال capacitor برضه بيخزن طاقة
+
+5
+00:00:37,700 --> 00:00:42,660
+كهربية في عندي طاقة و طاقة جالي جيب مكثف ووصله
+
+6
+00:00:42,660 --> 00:00:46,100
+بملف إيش ممكن يصير معاك؟ بدنا نشوف إيش ممكن يصير
+
+7
+00:00:46,100 --> 00:00:50,000
+معاك قبل دقيقة رانيقال consider the circuit shown
+
+8
+00:00:50,000 --> 00:00:54,020
+with the capacitor is charged with Q maximum قال
+
+9
+00:00:54,020 --> 00:00:58,880
+يجيب مكثف مشحون تماما يعني جواش فيه طاقة تمام
+
+10
+00:00:58,880 --> 00:01:03,920
+واصله بملافة الملف سلك و لا مش سلك انت لما تليه
+
+11
+00:01:03,920 --> 00:01:08,520
+سلك بين طرفيه مكثف ايه ممكن يصير فيه مكثف؟ يفرق و
+
+12
+00:01:08,520 --> 00:01:13,200
+لا يفرق؟ يفرق طب الشحنات عاملها بتنجص ولا تنجصش؟
+
+13
+00:01:13,200 --> 00:01:17,040
+بتنجص يعني التيار متغير و لما يتغير التيار الملف
+
+14
+00:01:17,040 --> 00:01:21,530
+مش تتغليمعناته هو جاعت بيفرغ الملف، جاعت بيشتغل،
+
+15
+00:01:21,530 --> 00:01:24,310
+إيش عامة بيشتغل؟ جاعة إما بيخزن طاقة أو جاعة بيفق
+
+16
+00:01:24,310 --> 00:01:28,070
+الطاقة، إذا جاعة بيخزن طاقة، وكأنه الطاقة اللي
+
+17
+00:01:28,070 --> 00:01:32,190
+مخزنة في المكثف أين بده تروح؟ تروح على الملف، طيب
+
+18
+00:01:32,190 --> 00:01:35,370
+هذا فضي، تمام فضي، طب و هذا الطاقة إيش بده
+
+19
+00:01:35,370 --> 00:01:39,910
+تدرسوها؟ بده يخللها؟ مش هيرجع يشحن المكثف كمان مرة
+
+20
+00:01:39,910 --> 00:01:46,270
+فيهابعدين هذا بعد ما ينشحن ينشحن وينطلق يعود بيفرخ
+
+21
+00:01:46,270 --> 00:01:50,570
+يعود بينطلق يعود بيفرخ وكأن الطاقة رايحة جاية
+
+22
+00:01:50,570 --> 00:01:52,690
+منتقلة مابين مرة على ال capacitor و مرة على ال
+
+23
+00:01:52,690 --> 00:01:54,570
+inductor مرة على ال capacitor و مرة على ال
+
+24
+00:01:54,570 --> 00:01:58,770
+inductor او بمعنى اخر الشحنات كانت على المكثف راحت
+
+25
+00:01:58,770 --> 00:02:00,450
+على ال inductor رجعت على المكثف راحت على ال
+
+26
+00:02:00,450 --> 00:02:03,430
+inductor وكأن الشحنات رايحة جاية او الطيار رايح
+
+27
+00:02:03,430 --> 00:02:08,170
+جاية وكأنه بتحرك simple harmonic motion وكأنه
+
+28
+00:02:08,170 --> 00:02:12,540
+بتحرك simple harmonic motion هذه شغلة نظريةكيف بدي
+
+29
+00:02:12,540 --> 00:02:15,480
+أثبت هواقن الحالي فيها؟ زمان أخدنا البندولي
+
+30
+00:02:15,480 --> 00:02:18,880
+البسيط، ذاكرينه؟ البندولي البسيط إيش كانش فكرته؟
+
+31
+00:02:18,880 --> 00:02:25,000
+كان بيقولك ها دي و هاي .. و بتحرك هيك رايح جاي،
+
+32
+00:02:25,000 --> 00:02:29,190
+هاي إنت لما اتفلتهعند هذه النقطة مخزن طاقة ولا مش
+
+33
+00:02:29,190 --> 00:02:31,850
+مخزن طاقة اللي هي ال potential energy طاقة وضع
+
+34
+00:02:31,850 --> 00:02:37,070
+فلته هذه الطاقة تتحول لطاقة حركة هنا فقط حركة
+
+35
+00:02:37,070 --> 00:02:41,530
+الطاقة بتبقى موجودة maximum بتبقى بتتحول لطاقة وضع
+
+36
+00:02:41,530 --> 00:02:45,910
+بجهها بتعود ترجع إذا في تبادل ما بين طاقتين الحركة
+
+37
+00:02:45,910 --> 00:02:49,190
+و الوضع في طاقة حركة بتصير وضع بدل دي تصير حركة
+
+38
+00:02:49,190 --> 00:02:53,090
+بعد دي تصير وضع أو هكذا و أيامها زمان رسمنا رسم زي
+
+39
+00:02:53,090 --> 00:02:58,500
+هيك بنها du وkكانت ال energy او potential energy
+
+40
+00:02:58,500 --> 00:03:06,860
+ونهيه وها K إذا كنتوا ذاكرين وقلنا لما تكون U صفر
+
+41
+00:03:06,860 --> 00:03:10,500
+بتكون K maximum لما تكون U maximum بتكون K صفر
+
+42
+00:03:10,500 --> 00:03:15,510
+ايام اتعاملنا معها طب هذه كيف يومتهاأثبتت انه
+
+43
+00:03:15,510 --> 00:03:19,830
+بتفوح الـTG وقلنا رياضيا اي حاجة تثبتها انها
+
+44
+00:03:19,830 --> 00:03:22,850
+simple harmonic motion فيه function مشهور في
+
+45
+00:03:22,850 --> 00:03:27,570
+الرياضيات لا ينتهي أبدا بكرر حاله على طول الشواء
+
+46
+00:03:27,570 --> 00:03:30,950
+الـsin و الـcos صح ولا لأ لأن الشواء الـsimple
+
+47
+00:03:30,950 --> 00:03:35,330
+harmonic motion بيقول أي حركة تكرر نفسها بصورة
+
+48
+00:03:35,330 --> 00:03:38,530
+لانهائية تسمى simple harmonic motion الشواء
+
+49
+00:03:38,530 --> 00:03:41,190
+الـfunction الذي يكرر نفسه بصورة لانهائية الـsin و
+
+50
+00:03:41,190 --> 00:03:46,910
+الـcos فبالتالةكنا نقول إن X بتساوي إيه؟ cosine
+
+51
+00:03:46,910 --> 00:03:55,190
+Omega T زائد Delta مرت عليكم؟ هذه ال amplitude هذه
+
+52
+00:03:55,190 --> 00:03:58,990
+ال amplitude و هذه Omega ال frequency كنا أي X
+
+53
+00:03:58,990 --> 00:04:01,770
+بتكون هيك شكلها و أرسمها cosine و sin بيقول هذه
+
+54
+00:04:01,770 --> 00:04:05,990
+simple harmonic motion هذه كيف حلناها؟ برضه قبل ما
+
+55
+00:04:05,990 --> 00:04:10,570
+أخش بالتفاصيل كنا لو F بتساوي سالب K في ال X قوة
+
+56
+00:04:10,570 --> 00:04:16,250
+إيش ده دي يا شباب؟زمبرك تتحرك حركة توافقية بسيطة
+
+57
+00:04:16,250 --> 00:04:20,630
+ولا لأ؟ اه بعد كده قولنا كل حركة توافقية بسيطة
+
+58
+00:04:20,630 --> 00:04:24,910
+لازم القوة تكون بهذا الشكل هجيت K هذه للزمبرك او
+
+59
+00:04:24,910 --> 00:04:27,930
+مش للزمبرك شغل تانية ثابت بالتالي ال simple
+
+60
+00:04:27,930 --> 00:04:31,890
+harmonic motion قوته بهذا الشكل القوة اللي بتأثر
+
+61
+00:04:31,890 --> 00:04:34,490
+على ال simple harmonic motion بتكون هك شكلها وهذه
+
+62
+00:04:34,490 --> 00:04:38,470
+اللي دعوة بال G و L بالطول و بالجذبية الأرضية طب
+
+63
+00:04:38,470 --> 00:04:44,020
+ليش؟ قاللي لأن هذه بتساوي M E نيوتنجانولا لأ و لما
+
+64
+00:04:44,020 --> 00:04:48,640
+جال ايه جال هذه الشيه بتسوي M D تربيع X على DT
+
+65
+00:04:48,640 --> 00:04:53,140
+تربيع ذاكرينها شباب دي اللي هذه المعادلة اللي
+
+66
+00:04:53,140 --> 00:04:59,500
+موطبتها بصيحة انك D تربيع X على DT square plus K
+
+67
+00:04:59,500 --> 00:05:03,640
+over MX بتسوي سفر هذه معادلة
+
+68
+00:05:06,130 --> 00:05:09,770
+هذه معادلة تفاضلية second order homogeneous
+
+69
+00:05:09,770 --> 00:05:13,410
+differential equation قال لي هذه حلها تطلع هذا
+
+70
+00:05:13,410 --> 00:05:20,870
+الحل هذي حلها هذا الحل X بتساوي ايه كوصين أمجا T
+
+71
+00:05:20,870 --> 00:05:23,390
+زائد درتا يقول ليه أمجا قال ليها أمجا هذي أمجا
+
+72
+00:05:23,390 --> 00:05:27,950
+تربيها تطلع هذه المعادلة قطعةهذه حالة هذه معناته
+
+73
+00:05:27,950 --> 00:05:32,030
+اي معاجلة هيك شكلها بقول هذه قطعا simple harmonic
+
+74
+00:05:32,030 --> 00:05:35,930
+motion لأن حالها cos أو sin و ال cos بتمثل simple
+
+75
+00:05:35,930 --> 00:05:39,870
+harmonic motion طيب نشوف بقول ال energy او ال Q هي
+
+76
+00:05:39,870 --> 00:05:43,330
+حاجة جاية معناته لازم يكون في علاقة طربة Q بتشبه
+
+77
+00:05:43,330 --> 00:05:47,190
+هذه العلاقة لأن اذا كانت هذه العلاقة صحيحة بجيب
+
+78
+00:05:47,190 --> 00:05:49,850
+الحل بقول cos أو sin اذا في عندي simple harmonic
+
+79
+00:05:49,850 --> 00:05:53,610
+motion و اذا بكون تيقنت ان ال charge رايحة جاية
+
+80
+00:05:53,610 --> 00:05:58,170
+بقول ليafter closing S انا هاد المكثف مرياني لان
+
+81
+00:05:58,170 --> 00:06:03,350
+شباب في Q maximum تمام؟ بدي أسكر، ببدأ المكثف
+
+82
+00:06:03,350 --> 00:06:07,570
+يفرق، لفترضي المكثف يفرق بالجيجا، خلاص ضفضة، بعد
+
+83
+00:06:07,570 --> 00:06:12,050
+عشرين ثانية، ايش بيكون عندك؟ بيكون هذا فقد جزء من
+
+84
+00:06:12,050 --> 00:06:16,730
+شحناته ولا لأ؟ وضعج الجزءطبعا في هذه الحالة بقول
+
+85
+00:06:16,730 --> 00:06:20,210
+هنا في طاقة و هنا برضه في طاقة لو قلتلك اوديدي
+
+86
+00:06:20,210 --> 00:06:22,650
+الطاقة الكلية بقول الطاقة الكلية الطاقة is a
+
+87
+00:06:22,650 --> 00:06:25,070
+scalar quantity و لا لأ اذا الطاقة الكلية هي
+
+88
+00:06:25,070 --> 00:06:26,890
+مجموعة الطاقة اللي هنا و مجموعة الطاقة اللي هنا
+
+89
+00:06:26,890 --> 00:06:32,210
+صحيح؟ طبعا بقوللي after closing S سكّلت S the
+
+90
+00:06:32,210 --> 00:06:35,990
+charge اللي في الكبسيطر will flow through the
+
+91
+00:06:35,990 --> 00:06:40,770
+inductor و يبدأ ال charge يعمل discharging at some
+
+92
+00:06:40,770 --> 00:06:41,150
+time
+
+93
+00:06:51,250 --> 00:06:53,690
+الشحنات عملها بتمشي، اذا كان فيه تيار، لو فيه
+
+94
+00:06:53,690 --> 00:06:56,530
+جيلبانومتر بيعلم، لأن الشحنات عملها بتفضغ، بتمشي
+
+95
+00:06:58,090 --> 00:07:01,230
+The total energy in the circuit بيدي total energy
+
+96
+00:07:01,230 --> 00:07:03,750
+بقدر أقول الـU total هو الـU اللي عند الـC و الـU
+
+97
+00:07:03,750 --> 00:07:07,830
+اللي عند الـL؟ منطق طيب الـU تبعد الـC مش بيساوي Q
+
+98
+00:07:07,830 --> 00:07:11,470
+تربيع على 2C قانون زمان خدناه و U تبعد الـL ساعة
+
+99
+00:07:11,470 --> 00:07:16,010
+المحاضرة الناضية تقنها نص L I تربيع قاللي هدهم بدل
+
+100
+00:07:16,010 --> 00:07:22,730
+UC حطت Q تربيع على 2C بدل UL حطت نص L I تربيع طيب
+
+101
+00:07:22,730 --> 00:07:29,590
+قاللي هدى الـtotalوها دي بس ال C وها دي بس ال L
+
+102
+00:07:29,590 --> 00:07:33,830
+مبدأ ال conservation of energy ايش بيقول؟ بيقول
+
+103
+00:07:33,830 --> 00:07:38,270
+هذه لازم تكون ثابتة هذه لازم تكون ثابتة فبالتالي
+
+104
+00:07:38,270 --> 00:07:41,870
+ايش بيقوللي؟ بيقوللي deriving the above equation
+
+105
+00:07:41,870 --> 00:07:44,610
+with respect to time بيقوللي فاضل بالنسبة للزمان
+
+106
+00:07:44,610 --> 00:07:50,180
+فاضل فضلناهذه du total على dt وهذه بيضع فضلها
+
+107
+00:07:50,180 --> 00:07:52,760
+بالنسبة للزمان وهذه بيضع فضلها بالنسبة للزمان طبعا
+
+108
+00:07:52,760 --> 00:07:57,300
+واحد على اتنين c ثابت ونص ال L ثابت تمام فى حد
+
+109
+00:07:57,300 --> 00:08:02,780
+بيضع عشري فاضل شباب ديو توتل constant ديو توتل
+
+110
+00:08:02,780 --> 00:08:07,320
+constant ايش تفضلها Zero ايش تفضل dq تربيع على dt
+
+111
+00:08:07,320 --> 00:08:14,800
+مش اتنين q dq على dt وهذه اتنين I di على dtطبعا
+
+112
+00:08:14,800 --> 00:08:18,020
+اتنين مع النص بتروح و اتنين مع النص بتروح بدي حط
+
+113
+00:08:18,020 --> 00:08:22,160
+هنا Q دي Q على دي T و هنا I دي I على دي T جالي
+
+114
+00:08:22,160 --> 00:08:28,500
+فاضل و يلا نشتغل فضلت ال E totaled zero فصرت عندي
+
+115
+00:08:28,500 --> 00:08:34,840
+بهذا الشكل نفس المعادلة في Q دي Q على دي T وفي I
+
+116
+00:08:34,840 --> 00:08:39,640
+دي I على دي T لانه هي I تربيع لانه كانت نص قل
+
+117
+00:08:41,090 --> 00:08:45,990
+I تربيع فضلوها بالاسم للزمان هكما مرة بقول هذه
+
+118
+00:08:45,990 --> 00:08:52,510
+بيساوي اتنين على اتنين L و هنا I DI على DT ايه
+
+119
+00:08:52,510 --> 00:08:56,470
+تفضلها نفس العملية بال Q تفضل عادي أخدته في الفصل
+
+120
+00:08:56,470 --> 00:09:01,610
+الأول و أخدته في التوجيه يمكن طيب قل لي دي Q على
+
+121
+00:09:01,610 --> 00:09:09,560
+دي T هذي I ولا مش I يعني بتقيل مع حدصح ولا لأ؟ هو
+
+122
+00:09:09,560 --> 00:09:16,200
+نفس I طبعا دي I على دي T ماهي I بيسوي دي Q على دي
+
+123
+00:09:16,200 --> 00:09:19,580
+T يعني هو بيقولي but I بيسوي دي Q على دي T يعني دي
+
+124
+00:09:19,580 --> 00:09:22,860
+Q على دي T و I واحدة دسّمت عليهم فدي I على دي T
+
+125
+00:09:22,860 --> 00:09:25,700
+فضل هدي مرتين كمان مرة يعني مش هدي بيصيب مفضل
+
+126
+00:09:25,700 --> 00:09:30,260
+مرتين؟ بدي أجيب هدي اللي هي ال دي I على دي T هي دي
+
+127
+00:09:30,260 --> 00:09:33,500
+و أحط محلها دي Square Q على دي T Square فصلت هيك
+
+128
+00:09:33,500 --> 00:09:45,720
+المعادلة في مشكلة؟و اكتبها جسم على L جسم على L هذه
+
+129
+00:09:45,720 --> 00:09:53,600
+صحيح صحيح جسمنا على L square Q over DT square plus
+
+130
+00:09:53,600 --> 00:10:01,420
+1 على L C Q بالثانوية ثانوية هذا بدر Q و حطب X هذه
+
+131
+00:10:01,420 --> 00:10:10,820
+أمتعة تربيةبادر K على M وحطت هنا مجتر بيه فصرت D2
+
+132
+00:10:10,820 --> 00:10:15,860
+X على DT2 plus Mجتر بيه X هنا بدر X إيش حطيت؟ Q
+
+133
+00:10:15,860 --> 00:10:18,840
+هذه المعادلة هي حالها طب هذه المعادلة اللي بقدر
+
+134
+00:10:18,840 --> 00:10:22,400
+أقول هنا أحط Q هذه هذه مشي X maximum ولا مشي X
+
+135
+00:10:22,400 --> 00:10:26,940
+maximum؟ اشتري عليه في ال amplitude شبابهي ال
+
+136
+00:10:26,940 --> 00:10:30,720
+maximum displacement يعني هذه أصل هي x maximum طيب
+
+137
+00:10:30,720 --> 00:10:34,900
+هذي q بصورة إيمالية هذي بيحط معايا q maximum وهي
+
+138
+00:10:34,900 --> 00:10:39,140
+cosine Omega T زي ال Delta Delta I شغلها معينة
+
+139
+00:10:42,800 --> 00:10:46,060
+This differential equation is the simple harmonic
+
+140
+00:10:46,060 --> 00:10:49,460
+motion equation والسلويوشن اللي انا بعرفه من
+
+141
+00:10:49,460 --> 00:10:54,320
+physics ايه انه q بيصيحوا q maximum بدل a cosine
+
+142
+00:10:54,320 --> 00:10:57,780
+omega t زي درجة أو جامعة تفرقش الثابت هيا بيسموه
+
+143
+00:10:57,780 --> 00:11:01,980
+ال phase angle او ال phase constant اذا معناته ما
+
+144
+00:11:01,980 --> 00:11:05,720
+زال ال q طلعت cosine وحنقف ان ال cosine رايح جاي
+
+145
+00:11:05,720 --> 00:11:11,950
+معناته هذا تأكيد قطعيعلى ان الـ Q بتتبادل مرة
+
+146
+00:11:11,950 --> 00:11:15,790
+بتكون Zero و مرة بتكون Maximum و مرة بترجع Zero و
+
+147
+00:11:15,790 --> 00:11:19,890
+مرة بتكون Maximum بالمعاكس و هكذا اذا الـ Q في
+
+148
+00:11:19,890 --> 00:11:23,870
+الكباسيتر شباب كانت Maximum صارت سفر رجعت Maximum
+
+149
+00:11:23,870 --> 00:11:27,590
+بس انعكس ال polarity بتاعة الكباسيتر بعدين رجعت
+
+150
+00:11:27,590 --> 00:11:34,010
+Zero و هكذا هذه هي تأكيد قطعي على ان الـ Q بتتناوج
+
+151
+00:11:34,010 --> 00:11:38,870
+ما بين الكباسيتر و الInductorتمام طب قولي هذه
+
+152
+00:11:38,870 --> 00:11:41,050
+الجامعة اللي خليني اشتغل عليها كيف بدي اجيبها؟
+
+153
+00:11:41,050 --> 00:11:44,350
+قوللي في عندك معلومات انت اولية في السؤال بقولك ال
+
+154
+00:11:44,350 --> 00:11:49,230
+T بيساوي سفر جديش كانت Q على الكبسطر؟ maximum كانت
+
+155
+00:11:49,230 --> 00:11:53,270
+Q maximum بقولي to find the constants we know that
+
+156
+00:11:53,270 --> 00:11:57,550
+ان Q بيساوي Q maximum ال T بيساوي سفر حط محل T هنا
+
+157
+00:11:57,550 --> 00:12:01,070
+سفر وحط محل هنا Q ايش بيكون؟ Q maximum طب عمليا
+
+158
+00:12:01,070 --> 00:12:05,370
+ماحطش بقى بس بيبني ال Q هذي بيحط Q maximum ساوي
+
+159
+00:12:05,370 --> 00:12:12,910
+هنا Q maximumكو ساين بدل اوميجا في سفر قداش ايش
+
+160
+00:12:12,910 --> 00:12:17,850
+بدون عندك جامعة جداش كو ساين جامعة هنا وشي الزاوية
+
+161
+00:12:17,850 --> 00:12:22,390
+لكو ساينها واحد زيرو اذا جامعة بتساوي زيرو تمام
+
+162
+00:12:22,390 --> 00:12:25,710
+اذا جامعة جت ثابت زيرو فى سؤالك اذا معناته Q
+
+163
+00:12:25,710 --> 00:12:29,710
+بتساوي Q maximum كو ساين اوميجا T هى Q طيب تقدر
+
+164
+00:12:29,710 --> 00:12:34,790
+تجيب تيار فى علاقة بين Q وتيارماشي تيار تفاضل q
+
+165
+00:12:34,790 --> 00:12:41,330
+بالنسبة للزمان هي q فضلها بتعرفش تفاضل ال cos سالي
+
+166
+00:12:41,330 --> 00:12:46,590
+و بيطلع omega برا لانه ال variable T طبعا omega زي
+
+167
+00:12:46,590 --> 00:12:49,470
+ما اتفقنا احنا قررنا هذه omega تربيع بالتالية هذه
+
+168
+00:12:49,470 --> 00:12:55,140
+1 على Lc تمام؟ ايش وحدة omega يا شباب؟radian ع
+
+169
+00:12:55,140 --> 00:13:01,700
+سكنت او وعد ع سكنت او hills وعد هدى نجرب هدى ايه
+
+170
+00:13:01,700 --> 00:13:06,680
+اللى بتوعف وعدتها مش Henry وهدى مش Farad لازم لما
+
+171
+00:13:06,680 --> 00:13:09,900
+اضربهم يطلع واحد ع second دير بالكم لا يونيج يطلع
+
+172
+00:13:09,900 --> 00:13:16,800
+واحد على ال C بتساوي واحد على Henry في فراد ال
+
+173
+00:13:16,800 --> 00:13:21,180
+Henry volt second على Ampereمصبوط ولا لأ الهنري
+
+174
+00:13:21,180 --> 00:13:25,340
+volt second علي أمبير إذا معناته هي الأمبير وهي
+
+175
+00:13:25,340 --> 00:13:30,780
+volt وهي second الفرعاد بيساوي كلوم على volt صح
+
+176
+00:13:30,780 --> 00:13:35,640
+ولا لأ ال volt مع ال volt روح هذي إيش بيساوي كلوم
+
+177
+00:13:35,640 --> 00:13:40,350
+ع secondهذه ما حد روحت واحد أسكن تربيع جزء التربيع
+
+178
+00:13:40,350 --> 00:13:43,390
+أيه؟ واحد أسكن اذا واحد أسكن عشان كده في الأخر
+
+179
+00:13:43,390 --> 00:13:46,750
+جالك رموزها بالرمز Omega لأن Omega معروفة في ال
+
+180
+00:13:46,750 --> 00:13:50,390
+physics هي frequency و ال frequency واحدة و واحد
+
+181
+00:13:50,390 --> 00:13:53,230
+أسكن في الأول بدي أحط ثابت هو اللي نزل عليه الوحي
+
+182
+00:13:53,230 --> 00:13:57,550
+جاله أحط الثابت Omega ثابت حط K حط A حط B هيك
+
+183
+00:13:57,550 --> 00:14:01,300
+الأصل لو أنا ماعرفش الثابت بحط أي رمزفهي محطة اول
+
+184
+00:14:01,300 --> 00:14:04,300
+ثابت هذا ثابت حطه ايه؟ في الآخر لما نجوا واحدة
+
+185
+00:14:04,300 --> 00:14:07,760
+واحدة على سكن قالوا حطوا omega ما هو ناس هو omega
+
+186
+00:14:07,760 --> 00:14:12,000
+وبالتالي ال concern المهم بقولني to find the
+
+187
+00:14:12,000 --> 00:14:17,620
+current we have to derive a q with respect to t I
+
+188
+00:14:17,620 --> 00:14:22,120
+equal dq over dt equal minus لأن تفادر ال cosine
+
+189
+00:14:22,120 --> 00:14:26,820
+سالب صين q maximum في omega sine omega t طيب كمان
+
+190
+00:14:26,820 --> 00:14:34,350
+مرة ايش واحدة ال q شباب؟و لومجا و واحد ع second
+
+191
+00:14:34,350 --> 00:14:38,690
+كلهم ع second ايش وحدتها امبير اذا هادي في هادي
+
+192
+00:14:38,690 --> 00:14:42,110
+طيارة مش طيارة بس حطها I maximum عشان هادي Q
+
+193
+00:14:42,110 --> 00:14:45,650
+maximum طبعا شخصية مضطقية بقولي هادي I و هادي I
+
+194
+00:14:45,650 --> 00:14:48,610
+لان هادي second و هادي واحد ع second هنا مافيش
+
+195
+00:14:48,610 --> 00:14:53,530
+وحدات تمام؟ و بعدين ايش اكبر قيمة لل sign؟اذا إيش
+
+196
+00:14:53,530 --> 00:14:57,330
+بدك توقع أكبر قيمة لل I I maximum فبالصورة المنطق
+
+197
+00:14:57,330 --> 00:14:59,990
+أن هذا اللي جانب ال sine و ال cosine دائما هو ال
+
+198
+00:14:59,990 --> 00:15:03,450
+maximum value ل ال variable اللي موجود فهذه I
+
+199
+00:15:03,450 --> 00:15:05,790
+maximum فمن هذه المعادلة منين يقولوا يجدش I
+
+200
+00:15:05,790 --> 00:15:10,210
+maximum من هذه المعادلة يقولوا يجدش I maximum مش Q
+
+201
+00:15:10,210 --> 00:15:14,210
+maximum في يوم دي يا شبابI maximum شو Q maximum في
+
+202
+00:15:14,210 --> 00:15:19,610
+Omega؟ اه و I maximum ساو Q maximum في Omega.إذن
+
+203
+00:15:19,610 --> 00:15:25,450
+الآن زي ما Q و I حاجية برضه I حاجية لأن طول ما
+
+204
+00:15:25,450 --> 00:15:30,630
+الشحنات بتمشي شباب في تيارفضن كبسطر راح الطيار،
+
+205
+00:15:30,630 --> 00:15:35,050
+اذا الطيار شويه شويه عمله بزيد، برجع الطيار لإن
+
+206
+00:15:35,050 --> 00:15:39,310
+ساعتها بده يبدأ المكفف ينشحن، بعد ما فضن بده
+
+207
+00:15:39,310 --> 00:15:43,270
+ينشحن، بعدين بده يفضن، بعدين برجع، بتنقص مصير
+
+208
+00:15:43,270 --> 00:15:47,170
+Zero، بعدين بنكر، بتزيد لمصير Maximum، وهكذا، برضه
+
+209
+00:15:47,170 --> 00:15:51,170
+الطياربيكون عبارة عن sin و ال cosine و ال sin
+
+210
+00:15:51,170 --> 00:15:54,910
+رياضية نفس ال function الفرق بينهم وين واحد بيبدأ
+
+211
+00:15:54,910 --> 00:15:57,930
+ال cosine بيبدأ من maximum و ال sin بيبدأ من ال
+
+212
+00:15:57,930 --> 00:16:02,710
+zero مظبط ولا لأ لإنه لو جيت بدرسهم هي q maximum
+
+213
+00:16:02,710 --> 00:16:07,210
+zero maximum من ناحية تانية zero maximum هكذا
+
+214
+00:16:07,210 --> 00:16:11,630
+الطيار بيبدأ
+
+215
+00:16:11,630 --> 00:16:28,450
+من zeroلأن cos صفر Q maximum لكن صفر صفر صفر
+
+216
+00:16:28,450 --> 00:16:36,870
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+217
+00:16:38,580 --> 00:16:42,860
+خمسة ماكرو كلوم، هذه بدي أحطها ميت أمبير، مصحى
+
+218
+00:16:42,860 --> 00:16:46,420
+اللي؟ ليش
+
+219
+00:16:46,420 --> 00:16:53,940
+مصحى الليش؟ تعرف
+
+220
+00:16:53,940 --> 00:17:01,360
+تقارن من أكبر شبابها، خمسة كيلو جرام ولا ميت متر،
+
+221
+00:17:01,360 --> 00:17:07,050
+من أكبر؟أه، من أكبر، تقدر تقول 100 متر أكبر؟ وهذه
+
+222
+00:17:07,050 --> 00:17:09,210
+نفس العملية، لا تقدر تقول من أكبر، ليش؟ هذه ليست
+
+223
+00:17:09,210 --> 00:17:12,670
+واحدتها، بيبقى كلهم هذين بيبقوا .. يعني ممكن نعمل
+
+224
+00:17:12,670 --> 00:17:14,950
+إيه، اللي بدكم هو إيه، ليش واحد يقول هذه أكبر من
+
+225
+00:17:14,950 --> 00:17:17,590
+هذه، لأ، هذه رسمة، هيك، هو الاصل اللي بتسمه كل
+
+226
+00:17:17,590 --> 00:17:20,650
+واحد هيرسمة لحاله، لكن لو أخططهم مع بعض، مافيش
+
+227
+00:17:20,650 --> 00:17:24,690
+مقارنة بينهم، لأن they are completely different
+
+228
+00:17:24,690 --> 00:17:29,750
+two quantities، بالتالي we can't compare between
+
+229
+00:17:29,750 --> 00:17:30,070
+them
+
+230
+00:17:34,410 --> 00:17:39,230
+طبعا احنا بنعرف ان omega لها علاقة بالزمن الدوري
+
+231
+00:17:39,230 --> 00:17:44,130
+ولا لأ شباب omega 2pi على T لان omega بيساوي 2pi
+
+232
+00:17:44,130 --> 00:17:49,010
+في ال frequency وبعرفش جثة omega بيساوي 2pi f هذين
+
+233
+00:17:49,010 --> 00:17:53,730
+تعرفين 2pi من وين اجت من وين اجت 2pi عشان عمراش
+
+234
+00:17:53,730 --> 00:17:59,250
+ننساهاإيش يعني Angular؟ يعني خلّيني أقول، خلّيني
+
+235
+00:17:59,250 --> 00:18:03,930
+أتذكر طب و قلتول هذه radian per second صح؟ و هذه
+
+236
+00:18:03,930 --> 00:18:07,950
+دورة لكل second الدورة كم radian؟ اتنين باقى،
+
+237
+00:18:07,950 --> 00:18:13,030
+اتنين باقى فهذه اتنين باقى هي الدورة الدورة، عشان
+
+238
+00:18:13,030 --> 00:18:16,150
+كده بنقول هذه دورة، هذه radian فالدورة بيساوي
+
+239
+00:18:16,150 --> 00:18:20,810
+اتنين باقى زي لما أقول أنا لإخر ما أحول من كيلومتر
+
+240
+00:18:20,810 --> 00:18:25,870
+لمتر بدرخميةعشان ال kilometer في الف عشان ال
+
+241
+00:18:25,870 --> 00:18:28,730
+kilometer في الف بس و هدى نفس العملية عشان اتنين
+
+242
+00:18:28,730 --> 00:18:30,990
+باى يتذكر بقول ان هو انجلت ان اوميجا بساوة اتنين
+
+243
+00:18:30,990 --> 00:18:34,110
+باى في F و ال F واحد ع تاو و التاو هو الزمن الدوري
+
+244
+00:18:34,110 --> 00:18:38,530
+بتصل عندى Q بساوة Q maximum بعد اوميجا اللى اولا
+
+245
+00:18:38,530 --> 00:18:42,270
+نية حطت هنا و ال I بساوة سالب I maximum sign فهدى
+
+246
+00:18:42,270 --> 00:18:47,530
+الوراقات اللى موجودة مفيش عندى اي اشكالية طبعا هدى
+
+247
+00:18:47,530 --> 00:18:53,480
+بيفرجيك كيف صوت الرسم عنده بقول هى كبسيطةهذا كان
+
+248
+00:18:53,480 --> 00:18:56,660
+مليان positive و negative مزايا مليان إذا انهيزها
+
+249
+00:18:56,660 --> 00:19:01,460
+في مجال كهربائي قطعا هذا كان سلك عادي مافيش فيه
+
+250
+00:19:01,460 --> 00:19:05,360
+إشي أول ما سكرت مفتاح بدل .. هنا كانت طيار سفر
+
+251
+00:19:05,360 --> 00:19:08,650
+وأول ما سكرت مفتاح بدل طيار يمشيبذالبدأ الطيار
+
+252
+00:19:08,650 --> 00:19:11,770
+يمشي يشتغل الملف الملف بيشتغل لما الطيار يكون
+
+253
+00:19:11,770 --> 00:19:15,010
+بتغير و انا في ال charging و ال discharging الطيار
+
+254
+00:19:15,010 --> 00:19:18,490
+بتغير ما زال الطيار بتغير ما ازاما هذا بدأ يشتغل
+
+255
+00:19:18,490 --> 00:19:22,850
+صار يخزن طاقة مغناطيسية عشان كده في مجال مغناطيسي
+
+256
+00:19:22,850 --> 00:19:28,980
+في مجال مغناطيسي من الطيار تماملما هدى يفضى، هدى
+
+257
+00:19:28,980 --> 00:19:32,840
+فضى، وليه محطقته؟ هنا فهنا المجال الكهربا يسفل،
+
+258
+00:19:32,840 --> 00:19:35,380
+لكن المجال المناطيسي موجود ولا لا؟ واتجاهه لأسفل
+
+259
+00:19:35,380 --> 00:19:39,260
+المجال المناطيسي بحسب قاعدة اليدى اليمنى، فالآخر
+
+260
+00:19:39,260 --> 00:19:42,360
+بعد ما هدى فضى الطاقة اللى هنا دلاش طاقة مخزنة،
+
+261
+00:19:42,360 --> 00:19:47,360
+لأن الدقة مغلقة، بتعود هذا بيشحن هدى، فانشحن، بس
+
+262
+00:19:47,360 --> 00:19:50,960
+إيش رأي؟ هدى positive، هدى إيش؟ negative، عشان كده
+
+263
+00:19:50,960 --> 00:19:53,740
+هدى لو كانت هدى positive، التاني إيش بتكون؟
+
+264
+00:19:53,740 --> 00:19:58,440
+negative، بين عكسهفهذا العكس .. صار في مجال تعبير
+
+265
+00:19:58,440 --> 00:20:02,320
+بس عكس هذا .. نرجع لهنا .. رجع .. فضّع .. تلاقي
+
+266
+00:20:02,320 --> 00:20:04,480
+عندي مجال ماناطيسي بس المرة العادية لأعلى .. عكس
+
+267
+00:20:04,480 --> 00:20:09,700
+هذا .. و هكذا .. مضله رايح جاي .. طبعا المنطق انه
+
+268
+00:20:09,700 --> 00:20:11,960
+زي البندول البسيط .. البندول البسيط دخلوا يعملوا
+
+269
+00:20:11,960 --> 00:20:14,540
+في المعمل .. حاططوه مضلوا رايح جاي .. لو جيتوه
+
+270
+00:20:14,540 --> 00:20:18,000
+تاني يوم مضلوا رايح جاي .. فهيبقوا جوا جافة .. اذا
+
+271
+00:20:18,000 --> 00:20:22,630
+هلأ بطل سنبرهار موج موشن .. where راح الطاقة؟فقدت
+
+272
+00:20:22,630 --> 00:20:27,750
+من وين؟ من الاحتكاكات ومقاومة الهوى الاحتكاك
+
+273
+00:20:27,750 --> 00:20:31,950
+والمقاومات in general سمناها non conservative
+
+274
+00:20:31,950 --> 00:20:37,290
+forces صحليش؟ بأذكر عشان قلنا سميناها non
+
+275
+00:20:37,290 --> 00:20:40,230
+conservative force لأنها لا تحافظ على الطاقة،
+
+276
+00:20:40,230 --> 00:20:45,190
+بتبيع الطاقة، فبالتالي الطاقة حتى واتفقنا أن طاقة
+
+277
+00:20:45,190 --> 00:20:48,630
+حركة طاقة اقتوانها اتحولها طاقة حركة، بعدين طاقة
+
+278
+00:20:48,630 --> 00:20:52,070
+الحركة صارت طاقة وامع نفسها، فبيبقوا على أي حجار،
+
+279
+00:20:52,070 --> 00:20:55,970
+لكن إذا في طاقة فقدت، بيصير طاقة الوضع جزء منها
+
+280
+00:20:55,970 --> 00:21:01,280
+حركة، وجزء داع، مقاومة، هوا أو احتكاكاتفبالتالي،
+
+281
+00:21:01,280 --> 00:21:04,600
+لو كانت هذه عشرة، المفروض تصل هنا عشرة عشان تظهرها
+
+282
+00:21:04,600 --> 00:21:07,300
+simple harmonic motion لكن في الواقع، إذا كانت هذه
+
+283
+00:21:07,300 --> 00:21:11,020
+عشرة، فهي تظهر تسعة و نص، بعدين تصل هنا تسعة عشان
+
+284
+00:21:11,020 --> 00:21:13,980
+كده بتكون هذه هن الارتفاع على كام سطرتي هنا بيصير
+
+285
+00:21:13,980 --> 00:21:18,060
+أربعة و نص مظبوط او لا، و بتدورها شوية شوية، تجل،
+
+286
+00:21:18,060 --> 00:21:21,800
+لما تجيها تاني يوم، بتلاقيها وقفة، يعني بيصير سفر
+
+287
+00:21:21,800 --> 00:21:24,820
+وهذه بيسميها damned oscillations اللي مااخدناش
+
+288
+00:21:24,820 --> 00:21:30,460
+الفيزيالف و مش هناخدها هناطب احنا نظريا هنا بنعتبر
+
+289
+00:21:30,460 --> 00:21:34,340
+الأسلاك اللى فى الدائرة مقومتها zero لكن فى الواقع
+
+290
+00:21:34,340 --> 00:21:38,860
+مقومتها zero؟ لأ زى هناك بالنظر اللى بنقول مافيش
+
+291
+00:21:38,860 --> 00:21:41,460
+مقاومة هوى لكن فى الواقع فى مقاومة هوى ولا لأ
+
+292
+00:21:41,460 --> 00:21:45,540
+فهناك بنهمل و هنا بنهمل شغلة فنظريا فى عندي simple
+
+293
+00:21:45,540 --> 00:21:50,120
+harmonic motion فى الواقع فى عندي فقدان للطاقة كيف
+
+294
+00:21:50,120 --> 00:21:53,650
+تفقد؟الطاقة في عندك طاقة تفقل I تربيع في الـI ال
+
+295
+00:21:53,650 --> 00:21:58,310
+power هذه ال watt واط على طبعا في زمان تطلع فيه
+
+296
+00:21:58,310 --> 00:22:00,970
+عندك energy فبالتالي الأسلاك هذه اللي انت بتعتبر
+
+297
+00:22:00,970 --> 00:22:04,730
+مقومتها zero هي لها مقاومة وبالتالي في طاقة تفقل
+
+298
+00:22:04,730 --> 00:22:09,170
+عشان كده لما تمسك السلك بتلاقيه سخن وإذن هذي طاقة
+
+299
+00:22:09,170 --> 00:22:14,090
+ولا مش طاقة طاقة لازم تكون أخدت من ال UC مرة أو من
+
+300
+00:22:14,090 --> 00:22:20,090
+ال UL مرة فهذه العملية الشغلةطبعا خلّينا نشتغل شغل
+
+301
+00:22:20,090 --> 00:22:24,410
+تاني قولي ارجع لل energy انت بدأت ان u total بتسوي
+
+302
+00:22:24,410 --> 00:22:29,350
+u c زائد u L و Q تربيع اتنين C زايد نص ال I تربيع
+
+303
+00:22:29,350 --> 00:22:33,910
+انت الآن بعد ما اشتغلت طلعتلي جديش Q جديش I و
+
+304
+00:22:33,910 --> 00:22:40,110
+قولتلي Q بيساوي Q maximum cosine Omega T و قولتلي
+
+305
+00:22:40,110 --> 00:22:45,250
+I بيساوي نهار سالب I maximum sine Omega T ماشيكتوا
+
+306
+00:22:45,250 --> 00:22:50,800
+الله علنا وياكم كوي؟ قولتلي عوضأعود في النهاية بدي
+
+307
+00:22:50,800 --> 00:22:54,180
+أثبت شباب أن هذي U total لازم تطلع ثابتة وإلا بكون
+
+308
+00:22:54,180 --> 00:22:57,800
+فيه إشكالية لأن U total is conserved لازم تكون
+
+309
+00:22:57,800 --> 00:23:00,660
+ثابتة هي مقعد Conserved دي نعود فيها قولنا يلّا
+
+310
+00:23:00,660 --> 00:23:07,500
+نعود ربي الحادي ربعناها وحطينا اتنين سيكو ساي طب
+
+311
+00:23:07,500 --> 00:23:11,920
+ربي الحادي السالب راح مظبوط ولا لأ؟ راح السالب ف I
+
+312
+00:23:11,920 --> 00:23:16,940
+maximum تربيه طيب لو قلتلي انت I maximum بساوي
+
+313
+00:23:16,940 --> 00:23:22,340
+Omega في Q maximumصح ولا لأ؟ طب و Omega بتساوي
+
+314
+00:23:22,340 --> 00:23:28,460
+واحد على ال C، ال Q maximum ولا لأ؟مظبوط ولا لأ؟
+
+315
+00:23:28,460 --> 00:23:33,320
+طويصة اشتغلناها جانى معوض بدل I maximum تربيه انك
+
+316
+00:23:33,320 --> 00:23:37,280
+تحط Omega اذا بيقولى هنا I maximum سوى Omega Q
+
+317
+00:23:37,280 --> 00:23:40,820
+maximum وبدل Omega حطيت واحد على L C Q maximum
+
+318
+00:23:40,820 --> 00:23:44,980
+ربحها وحطها هنا شباب اترى ايش بيحطها؟ ربحوها دى L
+
+319
+00:23:44,980 --> 00:23:49,920
+C هنا في L بيصير 2C في المقام ولا لأ؟ 2C وبدل هنا
+
+320
+00:23:49,920 --> 00:23:53,480
+Q maximum تربيه هذا بيصير هذا I من المشتركهذا
+
+321
+00:23:53,480 --> 00:23:56,040
+بيصيح عالم الشركات .. اش بيدور دي هو قصان تربيه زي
+
+322
+00:23:56,040 --> 00:24:01,100
+قصان تربيه جد ايش؟ واحد فطلعت هيك .. قصان تربيه زي
+
+323
+00:24:01,100 --> 00:24:04,280
+قصان تربيه بتسوي واحد .. بل هذا بل .. في اي عامل
+
+324
+00:24:04,280 --> 00:24:09,820
+زمن هنا ال .. ال u totalبتساوي اما q maximum تربيع
+
+325
+00:24:09,820 --> 00:24:13,820
+على 2C او بتساوي نص ال I maximum تربيع يعني ال
+
+326
+00:24:13,820 --> 00:24:17,080
+total ال maximum في ال capacitor هي ال total ولا
+
+327
+00:24:17,080 --> 00:24:20,400
+مش ال total لما تفضل في ال capacitor ايش بيكون في
+
+328
+00:24:20,400 --> 00:24:24,040
+ال inductor كان عنده maximum ولا لأ لما يقول اوجد
+
+329
+00:24:24,040 --> 00:24:27,960
+u maximum في واحد منهم هو ال u total تمام و بيصير
+
+330
+00:24:27,960 --> 00:24:33,000
+زي هذه الرسمةإن هذه هي ال total ال total energy
+
+331
+00:24:33,000 --> 00:24:36,440
+بين كينات ال energy و ال potential energy بس هنا
+
+332
+00:24:36,440 --> 00:24:40,220
+بين ال u تبعت ال c و ال u تبعت ال L يعني لو جيتها
+
+333
+00:24:40,220 --> 00:24:45,160
+صمت نفس الرسمة بيقول
+
+334
+00:24:45,160 --> 00:24:50,540
+اللي الزرجة هي u c و الحمرة هي u L لما الحمرة تكون
+
+335
+00:24:50,540 --> 00:24:55,110
+maximum لما الزرجة مش بتكونzero ولما الزرجة تكون
+
+336
+00:24:55,110 --> 00:25:00,370
+maximum الحمرض بتكون down فهذه دلالة على ان ال U
+
+337
+00:25:00,370 --> 00:25:05,970
+بتتناوب ما بين ال C و بين ال L إلى مالا نهاية طبعا
+
+338
+00:25:05,970 --> 00:25:10,710
+واحد بيجي جولته و كنا نحكي احنا عن الفضائيات و ال
+
+339
+00:25:10,710 --> 00:25:15,850
+receivers و كل هذه الأمور ال L C circuit اكبر
+
+340
+00:25:15,850 --> 00:25:21,590
+تطبيق لهافي الراديوهات جوائع الراديو فاتقوا من
+
+341
+00:25:21,590 --> 00:25:23,730
+الراديو اللي في جوالكم خلّيني أجي على الراديو
+
+342
+00:25:23,730 --> 00:25:28,750
+القديم الكبير مش كنت أنا فيه زر بن .. بنحرك فيه من
+
+343
+00:25:28,750 --> 00:25:33,670
+محطة لمحطة و زي ما بحكي إسيادكم إذا عايشين تيجي
+
+344
+00:25:33,670 --> 00:25:36,590
+تسأله مش كانوا يسمعوا زمان بقولك كان في محطتين
+
+345
+00:25:36,590 --> 00:25:40,970
+اسمعهاوفي محطة كان في مذيع اسمه أحمد سعيد عشان كده
+
+346
+00:25:40,970 --> 00:25:43,330
+جيت .. لما واحد يكذب يقول بقى كذاب زي أحمد سعيد
+
+347
+00:25:43,330 --> 00:25:48,510
+المثل لإن في حرب ال 67 ده أحمد سعيد كان هو المعلق
+
+348
+00:25:48,510 --> 00:25:51,570
+فكان من تعليقاته أن طائرات العدو تسقط زي الذباب ..
+
+349
+00:25:51,570 --> 00:25:54,570
+زي .. زي الذباب بعد ست أيام جميعهم راحوا الصين و
+
+350
+00:25:54,570 --> 00:25:58,670
+الجولان و الضخمة الغربية و غزة و .. فكان هو المذيع
+
+351
+00:25:58,670 --> 00:26:03,650
+تبع الصوت العربصوت رعاب بحطة رعاها جمال عبد الناصر
+
+352
+00:26:03,650 --> 00:26:08,130
+بأيام القومية العربية ماعرف اضلت ولا ماضلتش انا
+
+353
+00:26:08,130 --> 00:26:12,350
+داي لا ولا ماضلتش فكانوا اختارياتنا عشان انه طبعا
+
+354
+00:26:12,350 --> 00:26:15,470
+ان انتوا عارفين واحد بحب شغله تدي الأمل فكانوا
+
+355
+00:26:15,470 --> 00:26:18,430
+دايما يسمعوله ولكن بقى جوا كذاب طبعا هعملوا مثل
+
+356
+00:26:18,430 --> 00:26:22,390
+انه كذاب وكانت جانبها محطة اسمها ال BBC لندن انها
+
+357
+00:26:22,390 --> 00:26:26,350
+موجودةبرضه يختاريها كانوا يحبوا يسمعوها لأنه من
+
+358
+00:26:26,350 --> 00:26:30,450
+زمان المصداقية كانت موجودة عندهم من زمان و احنا
+
+359
+00:26:30,450 --> 00:26:37,010
+معروفين محطاتنا تلتبع أخبارهم كذب و شوف لك خبر أو
+
+360
+00:26:37,010 --> 00:26:40,990
+نص خبر دي هو بيكون صدقه لأ انت غيرت أمور فانت لما
+
+361
+00:26:40,990 --> 00:26:45,090
+تغيّر من محطة لمحطة إيش بتسوي؟شباب على و انت تجيب
+
+362
+00:26:45,090 --> 00:26:50,790
+الراديو في كل دائرة receiver راديو و لا تلفزيون و
+
+363
+00:26:50,790 --> 00:26:55,130
+لا جوال و لا اي حاجة في النهاية انت بتستخدم الموجة
+
+364
+00:26:55,130 --> 00:26:58,970
+بغض النظر موجة الجوال ماهي موجة برضه و موجة ال ..
+
+365
+00:26:58,970 --> 00:27:02,690
+الراديو موجة و موجة التلفزيون موجة كلها موجات انت
+
+366
+00:27:02,690 --> 00:27:06,010
+بلزمك يكون عندك دائرة running زي ما حكى أصدقاءكم
+
+367
+00:27:06,010 --> 00:27:10,490
+ال C circuit لما نغير نرجع للراديو تبع سيادنا لما
+
+368
+00:27:10,490 --> 00:27:16,560
+نغير كان فيه capacitorشكله كيف؟ شكله بيجيبه نص
+
+369
+00:27:16,560 --> 00:27:23,000
+دسك، نص دسك، بربطه بعمود وفيه نص دسك ثاني ثابت،
+
+370
+00:27:23,000 --> 00:27:27,040
+واحد بيخش في التانين، اذا تصورته دسكات زيك، بيخش،
+
+371
+00:27:27,040 --> 00:27:30,060
+كيف ذكرتها؟ البرا للبريد كلبستر هي برا للبريد
+
+372
+00:27:30,060 --> 00:27:33,500
+كلبستر، لما يكون هيكماذا يفعل الكباسيت ساعتها؟
+
+373
+00:27:33,500 --> 00:27:36,960
+بتجللها .. بصي لإيه؟ لإبليس الجدار يتبع بعض جلال
+
+374
+00:27:36,960 --> 00:27:40,720
+.. فهو بفوته تبع بعض .. انت لما تعمل هيك و تعمل
+
+375
+00:27:40,720 --> 00:27:45,240
+هيك .. بتكتر او بتجلل الكباسيتر تبعت الراديو ..
+
+376
+00:27:45,240 --> 00:27:48,220
+لما تكتر او تجلل الكباسيتر الشباب .. إيه بصي اللي
+
+377
+00:27:48,220 --> 00:27:52,470
+فيه Omega؟ هي Omega .. بتتغير Omegaيعني إذا انت
+
+378
+00:27:52,470 --> 00:27:55,590
+بتغير .. في هذه الحالة انت بتغير ال frequency تبع
+
+379
+00:27:55,590 --> 00:27:59,710
+الراديو تبعك بواسط تغيير C إيه اللي بيثبتوها؟
+
+380
+00:27:59,710 --> 00:28:03,810
+فبيغيروا C لما تتغير Omega و تصير Omega تبع
+
+381
+00:28:03,810 --> 00:28:08,950
+الراديو تساوي Omega تبع ال BBC ولا صوت العرب ولا
+
+382
+00:28:08,950 --> 00:28:12,710
+آل المحطات اللي موجودة ساعتها بيصير فيه إيرانين
+
+383
+00:28:13,320 --> 00:28:17,500
+بتتساوى وبالتالي التردد اللي انت بيدكيه بيخش جوا
+
+384
+00:28:17,500 --> 00:28:21,480
+الراديو في الدائرة وبتعالج وبتحول لصوت او بتحول
+
+385
+00:28:21,480 --> 00:28:27,280
+لصورة اذا تلفزيون فمن وين في عملية receiving of
+
+386
+00:28:27,280 --> 00:28:31,780
+signals لازم يكون في ال circuit موجودة لان هي اللي
+
+387
+00:28:31,780 --> 00:28:36,630
+بتعمل فكرة ال running وبنشتر عليها طبعاانتوا
+
+388
+00:28:36,630 --> 00:28:42,730
+عارفين الموجات في FM و في MW و في SW ال FM مشكلتها
+
+389
+00:28:42,730 --> 00:28:49,730
+تقدرش تبعتها لمسافات طويلة غير عن ال SW في الراديو
+
+390
+00:28:49,730 --> 00:28:53,610
+هاتف برضه قديم فيه تبطلنا نستخدمها يمكن فيه كان في
+
+391
+00:28:53,610 --> 00:28:58,940
+الراديو في SW و في MWتمام هدول بالاضافة للأفأم
+
+392
+00:28:58,940 --> 00:29:03,800
+الأفأم زى ما حكينا محلية دائما لكن هدلات كان زمان
+
+393
+00:29:03,800 --> 00:29:09,340
+ال BBC مرات تنجل بث من لندن وانتصلنا بواسط الشورت
+
+394
+00:29:09,340 --> 00:29:14,160
+waves تمام بس هجيت كلهم بيبقوا يتعاملوا مع الأفأم
+
+395
+00:29:14,160 --> 00:29:18,240
+لإنه محلية و بيصي في تقوية محلية حتى الجزيرة لإنها
+
+396
+00:29:18,240 --> 00:29:22,760
+أفأم ممكن تبث من غزة على الأفأم بواسط المكاتب
+
+397
+00:29:22,760 --> 00:29:24,800
+تبعتها اللى موجودة ها
+
+398
+00:29:27,790 --> 00:29:31,590
+فتطبيقات ال IC circuit موجودة في كل الدوائر اللي
+
+399
+00:29:31,590 --> 00:29:36,510
+حوالينا لأنه الجوال نفس القضية طبعا تقف الجوال من
+
+400
+00:29:36,510 --> 00:29:39,610
+منطقة لمنطقة عشان يقوي ال air cell تبعه اللي محط
+
+401
+00:29:39,610 --> 00:29:45,050
+محطة تقوية و مرات بيحطوها على برج سكنية و كان فيه
+
+402
+00:29:45,050 --> 00:29:48,570
+خلاف انها اللي هي مضرة ولا مش مضرة لكن في النهاية
+
+403
+00:29:48,570 --> 00:29:53,480
+عشان انت تجيبالخدمة بصورة جيدة لازم تكون في محطة
+
+404
+00:29:53,480 --> 00:29:57,160
+تقوية وإلا محطة تقوية لمدينة زي غزاب تنفحش لازم
+
+405
+00:29:57,160 --> 00:30:00,480
+تكون في أكتر من محطة وإلا بصير المرات تكون الرسال
+
+406
+00:30:00,480 --> 00:30:05,220
+بيجمعش زي مثلا لما تروح انت ع بدروم بتلاقي الرسال
+
+407
+00:30:05,220 --> 00:30:10,830
+تبعك بيجمعش لإنه بدك الموجةتجيك ب energy مناسبة
+
+408
+00:30:10,830 --> 00:30:15,030
+حتى يقدر جهاز الجوال ياخدها و يحولها لإنه في
+
+409
+00:30:15,030 --> 00:30:19,230
+النهاية الأصوات اللي بتسمحها محملة بموجات
+
+410
+00:30:19,230 --> 00:30:22,390
+كهوماناطسية و انت بتاخدها و بتتعالجها و بتصير في
+
+411
+00:30:22,390 --> 00:30:26,290
+عندك العملية نفس عملية البث التلفزيوني ولا البث
+
+412
+00:30:26,290 --> 00:30:31,490
+الإيزاعي كلها بتحمل نفس الشغلات تمام
+
+413
+00:30:41,250 --> 00:30:45,670
+مثال سهل جدا الموجود على هذا الموضوع بيقول لي
+
+414
+00:30:45,670 --> 00:30:54,310
+خلينا نرسم الدائرة في كباسيطر C بتساوي 9 Picofarad
+
+415
+00:30:55,980 --> 00:31:02,480
+والملف 2.81 ميلي هنري فى عندك بطارية لو سمكت اس
+
+416
+00:31:02,480 --> 00:31:06,380
+اتنين وخلت اس واحد مفتوح ايش بيصير فى الكابسيتم؟
+
+417
+00:31:06,380 --> 00:31:10,360
+بيشحن .. بيشحن .. بتقدر تجيب ال Q maximum؟ كده؟
+
+418
+00:31:11,760 --> 00:31:17,480
+اللي هي 12×9×10-12 هيك بتكون ضمنت انك كبست من تلت
+
+419
+00:31:17,480 --> 00:31:22,120
+امانا ولا لأ تمام ال key maximum جيتها افتح S2
+
+420
+00:31:22,120 --> 00:31:28,160
+اصفر البطارية فسلطة نهمة خلصت شحانات مكثفة طب الآن
+
+421
+00:31:28,160 --> 00:31:32,420
+افتح ساكر S1 سلط عندك LC circuit ولا لأ بفتح عملية
+
+422
+00:31:32,420 --> 00:31:36,160
+الاهتزاز تروح و تيجي بقولي consider the circuit
+
+423
+00:31:36,160 --> 00:31:43,520
+shown first S1 is open التحتانيو S2 مقفل لإن
+
+424
+00:31:43,520 --> 00:31:45,420
+الكبسيطر مشحن
+
+425
+00:32:12,490 --> 00:32:18,210
+و C مدهش شغل مدهش كل ايه تاني يشتغل تمام فعندي Q
+
+426
+00:32:18,210 --> 00:32:21,130
+maximum انتوا طلعتوها Q maximum ولا لأ مش Q
+
+427
+00:32:21,130 --> 00:32:23,830
+maximum هي التسعة في اتنائش في عشر السالة في
+
+428
+00:32:23,830 --> 00:32:28,930
+اتنائش طب I maximum ايش علاقتها ب Q maximum I
+
+429
+00:32:28,930 --> 00:32:31,430
+maximum بيسوي Omega في Q maximum تماشي Omega
+
+430
+00:32:31,430 --> 00:32:34,510
+طلعتها هنا انت و Q maximum طلعتها طلعتها بعدين
+
+431
+00:32:34,510 --> 00:32:38,550
+بيقولي او يضع I و Q as a function of T تمام
+
+432
+00:32:40,150 --> 00:32:43,850
+Solution بقولوا ال frequency is given by القرون ال
+
+433
+00:32:43,850 --> 00:32:48,170
+calculator مشتغلت واحد على ال C وهي ال L وهي ال C
+
+434
+00:32:48,170 --> 00:32:53,030
+حولت من Pico Farad لFarad وحولت من Henry ل Henry
+
+435
+00:32:53,030 --> 00:32:57,670
+طلعت الجواب تمامThe maximum charge on the
+
+436
+00:32:57,670 --> 00:33:00,890
+capacitor is the initial charge before opening S2
+
+437
+00:33:11,710 --> 00:33:16,630
+الاخر في الفرق B I maximum بقوله I maximum بتساوي
+
+438
+00:33:16,630 --> 00:33:20,110
+Omega في Q maximum Omega طلعت من الفرق الأول و Q
+
+439
+00:33:20,110 --> 00:33:24,550
+maximum عملك بتطلعها فطلعت 6.79 10 to power minus
+
+440
+00:33:24,550 --> 00:33:30,530
+4 ampere هذه أقصى تيار في الدائرةبقى كده بقول اوجد
+
+441
+00:33:30,530 --> 00:33:34,430
+لي Q و I as a function of T بقول القانون اللي
+
+442
+00:33:34,430 --> 00:33:37,430
+بوضبط Q مع الزمن بقول Q بيسوي Q maximum cosine
+
+443
+00:33:37,430 --> 00:33:40,510
+Omega T هاي ال Q maximum طلعت عندي و Omega أنا
+
+444
+00:33:40,510 --> 00:33:44,010
+بعرفها عود و هو بيديها بدالك الزمن خليها بدالك
+
+445
+00:33:44,010 --> 00:33:47,170
+الزمن فحرفات بدل Q maximum حرفات بدل Omega وهي
+
+446
+00:33:47,170 --> 00:33:54,410
+الزمن و I maximum مش قانونها هدي I maximum هدي Iأي
+
+447
+00:33:54,410 --> 00:33:58,750
+maximum sine omega t برضه بتعود و بتطلع النتيجة
+
+448
+00:33:58,750 --> 00:34:06,210
+تمام؟ إذا الحل تلقاه وسهل جدا، هيك بنكون أنهينا
+
+449
+00:34:06,210 --> 00:34:06,790
+هذا ال chapter
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c145faf516e6779677646185d9c443c9fcddddc8
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/UpaJgEIxBg4_raw.srt
@@ -0,0 +1,1796 @@
+1
+00:00:16,060 --> 00:00:21,860
+العشر اللي بيحكي عن ال L-C circuits طبعا احنا في
+
+2
+00:00:21,860 --> 00:00:26,180
+نهاية لو جيت سألت انا في نهايةالشبطرين الماضين
+
+3
+00:00:26,180 --> 00:00:33,160
+أخدنا كجهاز الملف لو جلنا الملف إيش وظيفته بيخزن
+
+4
+00:00:33,160 --> 00:00:37,700
+طاقة مغناطسية طب و ال capacitor برضه بيخزن طاقة
+
+5
+00:00:37,700 --> 00:00:42,660
+كهربية في عندي طاقة و طاقة جالي جيب مكثف ووصله
+
+6
+00:00:42,660 --> 00:00:46,100
+بملف إيش ممكن يصير معاك؟ بدنا نشوف إيش ممكن يصير
+
+7
+00:00:46,100 --> 00:00:50,000
+معاك قبل دقيقة رانيقال consider the circuit shown
+
+8
+00:00:50,000 --> 00:00:54,020
+with the capacitor is charged with Q maximum قال
+
+9
+00:00:54,020 --> 00:00:58,880
+يجيب مكثف مشحون تماما يعني جواش فيه طاقة تمام
+
+10
+00:00:58,880 --> 00:01:03,920
+واصله بملافة الملف سلك و لا مش سلك انت لما تليه
+
+11
+00:01:03,920 --> 00:01:08,520
+سلك بين طرفيه مكثف ايه ممكن يصير فيه مكثف؟ يفرق و
+
+12
+00:01:08,520 --> 00:01:13,200
+لا يفرق؟ يفرق طب الشحنات عاملها بتنجص ولا تنجصش؟
+
+13
+00:01:13,200 --> 00:01:17,040
+بتنجص يعني التيار متغير و لما يتغير التيار الملف
+
+14
+00:01:17,040 --> 00:01:21,530
+مش تتغليمعناته هو جاعت بيفرغ الملف، جاعت بيشتغل،
+
+15
+00:01:21,530 --> 00:01:24,310
+إيش عامة بيشتغل؟ جاعة إما بيخزن طاقة أو جاعة بيفق
+
+16
+00:01:24,310 --> 00:01:28,070
+الطاقة، إذا جاعة بيخزن طاقة، وكأنه الطاقة اللي
+
+17
+00:01:28,070 --> 00:01:32,190
+مخزنة في المكثف أين بده تروح؟ تروح على الملف، طيب
+
+18
+00:01:32,190 --> 00:01:35,370
+هذا فضي، تمام فضي، طب و هذا الطاقة إيش بده
+
+19
+00:01:35,370 --> 00:01:39,910
+تدرسوها؟ بده يخللها؟ مش هيرجع يشحن المكثف كمان مرة
+
+20
+00:01:39,910 --> 00:01:46,270
+فيهابعدين هذا بعد ما ينشحن ينشحن وينطلق يعود بيفرخ
+
+21
+00:01:46,270 --> 00:01:50,570
+يعود بينطلق يعود بيفرخ وكأن الطاقة رايحة جاية
+
+22
+00:01:50,570 --> 00:01:52,690
+منتقلة مابين مرة على ال capacitor و مرة على ال
+
+23
+00:01:52,690 --> 00:01:54,570
+inductor مرة على ال capacitor و مرة على ال
+
+24
+00:01:54,570 --> 00:01:58,770
+inductor او بمعنى اخر الشحنات كانت على المكثف راحت
+
+25
+00:01:58,770 --> 00:02:00,450
+على ال inductor رجعت على المكثف راحت على ال
+
+26
+00:02:00,450 --> 00:02:03,430
+inductor وكأن الشحنات رايحة جاية او الطيار رايح
+
+27
+00:02:03,430 --> 00:02:08,170
+جاية وكأنه بتحرك simple harmonic motion وكأنه
+
+28
+00:02:08,170 --> 00:02:12,540
+بتحرك simple harmonic motion هذه شغلة نظريةكيف بدي
+
+29
+00:02:12,540 --> 00:02:15,480
+أثبت هواقن الحالي فيها؟ زمان أخدنا البندولي
+
+30
+00:02:15,480 --> 00:02:18,880
+البسيط، ذاكرينه؟ البندولي البسيط إيش كانش فكرته؟
+
+31
+00:02:18,880 --> 00:02:25,000
+كان بيقولك ها دي و هاي .. و بتحرك هيك رايح جاي،
+
+32
+00:02:25,000 --> 00:02:29,190
+هاي إنت لما اتفلتهعند هذه النقطة مخزن طاقة ولا مش
+
+33
+00:02:29,190 --> 00:02:31,850
+مخزن طاقة اللي هي ال potential energy طاقة وضع
+
+34
+00:02:31,850 --> 00:02:37,070
+فلته هذه الطاقة تتحول لطاقة حركة هنا فقط حركة
+
+35
+00:02:37,070 --> 00:02:41,530
+الطاقة بتبقى موجودة maximum بتبقى بتتحول لطاقة وضع
+
+36
+00:02:41,530 --> 00:02:45,910
+بجهها بتعود ترجع إذا في تبادل ما بين طاقتين الحركة
+
+37
+00:02:45,910 --> 00:02:49,190
+و الوضع في طاقة حركة بتصير وضع بدل دي تصير حركة
+
+38
+00:02:49,190 --> 00:02:53,090
+بعد دي تصير وضع أو هكذا و أيامها زمان رسمنا رسم زي
+
+39
+00:02:53,090 --> 00:02:58,500
+هيك بنها du وkكانت ال energy او potential energy
+
+40
+00:02:58,500 --> 00:03:06,860
+ونهيه وها K إذا كنتوا ذاكرين وقلنا لما تكون U صفر
+
+41
+00:03:06,860 --> 00:03:10,500
+بتكون K maximum لما تكون U maximum بتكون K صفر
+
+42
+00:03:10,500 --> 00:03:15,510
+ايام اتعاملنا معها طب هذه كيف يومتهاأثبتت انه
+
+43
+00:03:15,510 --> 00:03:19,830
+بتفوح الـTG وقلنا رياضيا اي حاجة تثبتها انها
+
+44
+00:03:19,830 --> 00:03:22,850
+simple harmonic motion فيه function مشهور في
+
+45
+00:03:22,850 --> 00:03:27,570
+الرياضيات لا ينتهي أبدا بكرر حاله على طول الشواء
+
+46
+00:03:27,570 --> 00:03:30,950
+الـsin و الـcos صح ولا لأ لأن الشواء الـsimple
+
+47
+00:03:30,950 --> 00:03:35,330
+harmonic motion بيقول أي حركة تكرر نفسها بصورة
+
+48
+00:03:35,330 --> 00:03:38,530
+لانهائية تسمى simple harmonic motion الشواء
+
+49
+00:03:38,530 --> 00:03:41,190
+الـfunction الذي يكرر نفسه بصورة لانهائية الـsin و
+
+50
+00:03:41,190 --> 00:03:46,910
+الـcos فبالتالةكنا نقول إن X بتساوي إيه؟ cosine
+
+51
+00:03:46,910 --> 00:03:55,190
+Omega T زائد Delta مرت عليكم؟ هذه ال amplitude هذه
+
+52
+00:03:55,190 --> 00:03:58,990
+ال amplitude و هذه Omega ال frequency كنا أي X
+
+53
+00:03:58,990 --> 00:04:01,770
+بتكون هيك شكلها و أرسمها cosine و sin بيقول هذه
+
+54
+00:04:01,770 --> 00:04:05,990
+simple harmonic motion هذه كيف حلناها؟ برضه قبل ما
+
+55
+00:04:05,990 --> 00:04:10,570
+أخش بالتفاصيل كنا لو F بتساوي سالب K في ال X قوة
+
+56
+00:04:10,570 --> 00:04:16,250
+إيش ده دي يا شباب؟زمبرك تتحرك حركة توافقية بسيطة
+
+57
+00:04:16,250 --> 00:04:20,630
+ولا لأ؟ اه بعد كده قولنا كل حركة توافقية بسيطة
+
+58
+00:04:20,630 --> 00:04:24,910
+لازم القوة تكون بهذا الشكل هجيت K هذه للزمبرك او
+
+59
+00:04:24,910 --> 00:04:27,930
+مش للزمبرك شغل تانية ثابت بالتالي ال simple
+
+60
+00:04:27,930 --> 00:04:31,890
+harmonic motion قوته بهذا الشكل القوة اللي بتأثر
+
+61
+00:04:31,890 --> 00:04:34,490
+على ال simple harmonic motion بتكون هك شكلها وهذه
+
+62
+00:04:34,490 --> 00:04:38,470
+اللي دعوة بال G و L بالطول و بالجذبية الأرضية طب
+
+63
+00:04:38,470 --> 00:04:44,020
+ليش؟ قاللي لأن هذه بتساوي M E نيوتنجانولا لأ و لما
+
+64
+00:04:44,020 --> 00:04:48,640
+جال ايه جال هذه الشيه بتسوي M D تربيع X على DT
+
+65
+00:04:48,640 --> 00:04:53,140
+تربيع ذاكرينها شباب دي اللي هذه المعادلة اللي
+
+66
+00:04:53,140 --> 00:04:59,500
+موطبتها بصيحة انك D تربيع X على DT square plus K
+
+67
+00:04:59,500 --> 00:05:03,640
+over MX بتسوي سفر هذه معادلة
+
+68
+00:05:06,130 --> 00:05:09,770
+هذه معادلة تفاضلية second order homogeneous
+
+69
+00:05:09,770 --> 00:05:13,410
+differential equation قال لي هذه حلها تطلع هذا
+
+70
+00:05:13,410 --> 00:05:20,870
+الحل هذي حلها هذا الحل X بتساوي ايه كوصين أمجا T
+
+71
+00:05:20,870 --> 00:05:23,390
+زائد درتا يقول ليه أمجا قال ليها أمجا هذي أمجا
+
+72
+00:05:23,390 --> 00:05:27,950
+تربيها تطلع هذه المعادلة قطعةهذه حالة هذه معناته
+
+73
+00:05:27,950 --> 00:05:32,030
+اي معاجلة هيك شكلها بقول هذه قطعا simple harmonic
+
+74
+00:05:32,030 --> 00:05:35,930
+motion لأن حالها cos أو sin و ال cos بتمثل simple
+
+75
+00:05:35,930 --> 00:05:39,870
+harmonic motion طيب نشوف بقول ال energy او ال Q هي
+
+76
+00:05:39,870 --> 00:05:43,330
+حاجة جاية معناته لازم يكون في علاقة طربة Q بتشبه
+
+77
+00:05:43,330 --> 00:05:47,190
+هذه العلاقة لأن اذا كانت هذه العلاقة صحيحة بجيب
+
+78
+00:05:47,190 --> 00:05:49,850
+الحل بقول cos أو sin اذا في عندي simple harmonic
+
+79
+00:05:49,850 --> 00:05:53,610
+motion و اذا بكون تيقنت ان ال charge رايحة جاية
+
+80
+00:05:53,610 --> 00:05:58,170
+بقول ليafter closing S انا هاد المكثف مرياني لان
+
+81
+00:05:58,170 --> 00:06:03,350
+شباب في Q maximum تمام؟ بدي أسكر، ببدأ المكثف
+
+82
+00:06:03,350 --> 00:06:07,570
+يفرق، لفترضي المكثف يفرق بالجيجا، خلاص ضفضة، بعد
+
+83
+00:06:07,570 --> 00:06:12,050
+عشرين ثانية، ايش بيكون عندك؟ بيكون هذا فقد جزء من
+
+84
+00:06:12,050 --> 00:06:16,730
+شحناته ولا لأ؟ وضعج الجزءطبعا في هذه الحالة بقول
+
+85
+00:06:16,730 --> 00:06:20,210
+هنا في طاقة و هنا برضه في طاقة لو قلتلك اوديدي
+
+86
+00:06:20,210 --> 00:06:22,650
+الطاقة الكلية بقول الطاقة الكلية الطاقة is a
+
+87
+00:06:22,650 --> 00:06:25,070
+scalar quantity و لا لأ اذا الطاقة الكلية هي
+
+88
+00:06:25,070 --> 00:06:26,890
+مجموعة الطاقة اللي هنا و مجموعة الطاقة اللي هنا
+
+89
+00:06:26,890 --> 00:06:32,210
+صحيح؟ طبعا بقوللي after closing S سكّلت S the
+
+90
+00:06:32,210 --> 00:06:35,990
+charge اللي في الكبسيطر will flow through the
+
+91
+00:06:35,990 --> 00:06:40,770
+inductor و يبدأ ال charge يعمل discharging at some
+
+92
+00:06:40,770 --> 00:06:41,150
+time
+
+93
+00:06:51,250 --> 00:06:53,690
+الشحنات عملها بتمشي، اذا كان فيه تيار، لو فيه
+
+94
+00:06:53,690 --> 00:06:56,530
+جيلبانومتر بيعلم، لأن الشحنات عملها بتفضغ، بتمشي
+
+95
+00:06:58,090 --> 00:07:01,230
+The total energy in the circuit بيدي total energy
+
+96
+00:07:01,230 --> 00:07:03,750
+بقدر أقول الـU total هو الـU اللي عند الـC و الـU
+
+97
+00:07:03,750 --> 00:07:07,830
+اللي عند الـL؟ منطق طيب الـU تبعد الـC مش بيساوي Q
+
+98
+00:07:07,830 --> 00:07:11,470
+تربيع على 2C قانون زمان خدناه و U تبعد الـL ساعة
+
+99
+00:07:11,470 --> 00:07:16,010
+المحاضرة الناضية تقنها نص L I تربيع قاللي هدهم بدل
+
+100
+00:07:16,010 --> 00:07:22,730
+UC حطت Q تربيع على 2C بدل UL حطت نص L I تربيع طيب
+
+101
+00:07:22,730 --> 00:07:29,590
+قاللي هدى الـtotalوها دي بس ال C وها دي بس ال L
+
+102
+00:07:29,590 --> 00:07:33,830
+مبدأ ال conservation of energy ايش بيقول؟ بيقول
+
+103
+00:07:33,830 --> 00:07:38,270
+هذه لازم تكون ثابتة هذه لازم تكون ثابتة فبالتالي
+
+104
+00:07:38,270 --> 00:07:41,870
+ايش بيقوللي؟ بيقوللي deriving the above equation
+
+105
+00:07:41,870 --> 00:07:44,610
+with respect to time بيقوللي فاضل بالنسبة للزمان
+
+106
+00:07:44,610 --> 00:07:50,180
+فاضل فضلناهذه du total على dt وهذه بيضع فضلها
+
+107
+00:07:50,180 --> 00:07:52,760
+بالنسبة للزمان وهذه بيضع فضلها بالنسبة للزمان طبعا
+
+108
+00:07:52,760 --> 00:07:57,300
+واحد على اتنين c ثابت ونص ال L ثابت تمام فى حد
+
+109
+00:07:57,300 --> 00:08:02,780
+بيضع عشري فاضل شباب ديو توتل constant ديو توتل
+
+110
+00:08:02,780 --> 00:08:07,320
+constant ايش تفضلها Zero ايش تفضل dq تربيع على dt
+
+111
+00:08:07,320 --> 00:08:14,800
+مش اتنين q dq على dt وهذه اتنين I di على dtطبعا
+
+112
+00:08:14,800 --> 00:08:18,020
+اتنين مع النص بتروح و اتنين مع النص بتروح بدي حط
+
+113
+00:08:18,020 --> 00:08:22,160
+هنا Q دي Q على دي T و هنا I دي I على دي T جالي
+
+114
+00:08:22,160 --> 00:08:28,500
+فاضل و يلا نشتغل فضلت ال E totaled zero فصرت عندي
+
+115
+00:08:28,500 --> 00:08:34,840
+بهذا الشكل نفس المعادلة في Q دي Q على دي T وفي I
+
+116
+00:08:34,840 --> 00:08:39,640
+دي I على دي T لانه هي I تربيع لانه كانت نص قل
+
+117
+00:08:41,090 --> 00:08:45,990
+I تربيع فضلوها بالاسم للزمان هكما مرة بقول هذه
+
+118
+00:08:45,990 --> 00:08:52,510
+بيساوي اتنين على اتنين L و هنا I DI على DT ايه
+
+119
+00:08:52,510 --> 00:08:56,470
+تفضلها نفس العملية بال Q تفضل عادي أخدته في الفصل
+
+120
+00:08:56,470 --> 00:09:01,610
+الأول و أخدته في التوجيه يمكن طيب قل لي دي Q على
+
+121
+00:09:01,610 --> 00:09:09,560
+دي T هذي I ولا مش I يعني بتقيل مع حدصح ولا لأ؟ هو
+
+122
+00:09:09,560 --> 00:09:16,200
+نفس I طبعا دي I على دي T ماهي I بيسوي دي Q على دي
+
+123
+00:09:16,200 --> 00:09:19,580
+T يعني هو بيقولي but I بيسوي دي Q على دي T يعني دي
+
+124
+00:09:19,580 --> 00:09:22,860
+Q على دي T و I واحدة دسّمت عليهم فدي I على دي T
+
+125
+00:09:22,860 --> 00:09:25,700
+فضل هدي مرتين كمان مرة يعني مش هدي بيصيب مفضل
+
+126
+00:09:25,700 --> 00:09:30,260
+مرتين؟ بدي أجيب هدي اللي هي ال دي I على دي T هي دي
+
+127
+00:09:30,260 --> 00:09:33,500
+و أحط محلها دي Square Q على دي T Square فصلت هيك
+
+128
+00:09:33,500 --> 00:09:45,720
+المعادلة في مشكلة؟و اكتبها جسم على L جسم على L هذه
+
+129
+00:09:45,720 --> 00:09:53,600
+صحيح صحيح جسمنا على L square Q over DT square plus
+
+130
+00:09:53,600 --> 00:10:01,420
+1 على L C Q بالثانوية ثانوية هذا بدر Q و حطب X هذه
+
+131
+00:10:01,420 --> 00:10:10,820
+أمتعة تربيةبادر K على M وحطت هنا مجتر بيه فصرت D2
+
+132
+00:10:10,820 --> 00:10:15,860
+X على DT2 plus Mجتر بيه X هنا بدر X إيش حطيت؟ Q
+
+133
+00:10:15,860 --> 00:10:18,840
+هذه المعادلة هي حالها طب هذه المعادلة اللي بقدر
+
+134
+00:10:18,840 --> 00:10:22,400
+أقول هنا أحط Q هذه هذه مشي X maximum ولا مشي X
+
+135
+00:10:22,400 --> 00:10:26,940
+maximum؟ اشتري عليه في ال amplitude شبابهي ال
+
+136
+00:10:26,940 --> 00:10:30,720
+maximum displacement يعني هذه أصل هي x maximum طيب
+
+137
+00:10:30,720 --> 00:10:34,900
+هذي q بصورة إيمالية هذي بيحط معايا q maximum وهي
+
+138
+00:10:34,900 --> 00:10:39,140
+cosine Omega T زي ال Delta Delta I شغلها معينة
+
+139
+00:10:42,800 --> 00:10:46,060
+This differential equation is the simple harmonic
+
+140
+00:10:46,060 --> 00:10:49,460
+motion equation والسلويوشن اللي انا بعرفه من
+
+141
+00:10:49,460 --> 00:10:54,320
+physics ايه انه q بيصيحوا q maximum بدل a cosine
+
+142
+00:10:54,320 --> 00:10:57,780
+omega t زي درجة أو جامعة تفرقش الثابت هيا بيسموه
+
+143
+00:10:57,780 --> 00:11:01,980
+ال phase angle او ال phase constant اذا معناته ما
+
+144
+00:11:01,980 --> 00:11:05,720
+زال ال q طلعت cosine وحنقف ان ال cosine رايح جاي
+
+145
+00:11:05,720 --> 00:11:11,950
+معناته هذا تأكيد قطعيعلى ان الـ Q بتتبادل مرة
+
+146
+00:11:11,950 --> 00:11:15,790
+بتكون Zero و مرة بتكون Maximum و مرة بترجع Zero و
+
+147
+00:11:15,790 --> 00:11:19,890
+مرة بتكون Maximum بالمعاكس و هكذا اذا الـ Q في
+
+148
+00:11:19,890 --> 00:11:23,870
+الكباسيتر شباب كانت Maximum صارت سفر رجعت Maximum
+
+149
+00:11:23,870 --> 00:11:27,590
+بس انعكس ال polarity بتاعة الكباسيتر بعدين رجعت
+
+150
+00:11:27,590 --> 00:11:34,010
+Zero و هكذا هذه هي تأكيد قطعي على ان الـ Q بتتناوج
+
+151
+00:11:34,010 --> 00:11:38,870
+ما بين الكباسيتر و الInductorتمام طب قولي هذه
+
+152
+00:11:38,870 --> 00:11:41,050
+الجامعة اللي خليني اشتغل عليها كيف بدي اجيبها؟
+
+153
+00:11:41,050 --> 00:11:44,350
+قوللي في عندك معلومات انت اولية في السؤال بقولك ال
+
+154
+00:11:44,350 --> 00:11:49,230
+T بيساوي سفر جديش كانت Q على الكبسطر؟ maximum كانت
+
+155
+00:11:49,230 --> 00:11:53,270
+Q maximum بقولي to find the constants we know that
+
+156
+00:11:53,270 --> 00:11:57,550
+ان Q بيساوي Q maximum ال T بيساوي سفر حط محل T هنا
+
+157
+00:11:57,550 --> 00:12:01,070
+سفر وحط محل هنا Q ايش بيكون؟ Q maximum طب عمليا
+
+158
+00:12:01,070 --> 00:12:05,370
+ماحطش بقى بس بيبني ال Q هذي بيحط Q maximum ساوي
+
+159
+00:12:05,370 --> 00:12:12,910
+هنا Q maximumكو ساين بدل اوميجا في سفر قداش ايش
+
+160
+00:12:12,910 --> 00:12:17,850
+بدون عندك جامعة جداش كو ساين جامعة هنا وشي الزاوية
+
+161
+00:12:17,850 --> 00:12:22,390
+لكو ساينها واحد زيرو اذا جامعة بتساوي زيرو تمام
+
+162
+00:12:22,390 --> 00:12:25,710
+اذا جامعة جت ثابت زيرو فى سؤالك اذا معناته Q
+
+163
+00:12:25,710 --> 00:12:29,710
+بتساوي Q maximum كو ساين اوميجا T هى Q طيب تقدر
+
+164
+00:12:29,710 --> 00:12:34,790
+تجيب تيار فى علاقة بين Q وتيارماشي تيار تفاضل q
+
+165
+00:12:34,790 --> 00:12:41,330
+بالنسبة للزمان هي q فضلها بتعرفش تفاضل ال cos سالي
+
+166
+00:12:41,330 --> 00:12:46,590
+و بيطلع omega برا لانه ال variable T طبعا omega زي
+
+167
+00:12:46,590 --> 00:12:49,470
+ما اتفقنا احنا قررنا هذه omega تربيع بالتالية هذه
+
+168
+00:12:49,470 --> 00:12:55,140
+1 على Lc تمام؟ ايش وحدة omega يا شباب؟radian ع
+
+169
+00:12:55,140 --> 00:13:01,700
+سكنت او وعد ع سكنت او hills وعد هدى نجرب هدى ايه
+
+170
+00:13:01,700 --> 00:13:06,680
+اللى بتوعف وعدتها مش Henry وهدى مش Farad لازم لما
+
+171
+00:13:06,680 --> 00:13:09,900
+اضربهم يطلع واحد ع second دير بالكم لا يونيج يطلع
+
+172
+00:13:09,900 --> 00:13:16,800
+واحد على ال C بتساوي واحد على Henry في فراد ال
+
+173
+00:13:16,800 --> 00:13:21,180
+Henry volt second على Ampereمصبوط ولا لأ الهنري
+
+174
+00:13:21,180 --> 00:13:25,340
+volt second علي أمبير إذا معناته هي الأمبير وهي
+
+175
+00:13:25,340 --> 00:13:30,780
+volt وهي second الفرعاد بيساوي كلوم على volt صح
+
+176
+00:13:30,780 --> 00:13:35,640
+ولا لأ ال volt مع ال volt روح هذي إيش بيساوي كلوم
+
+177
+00:13:35,640 --> 00:13:40,350
+ع secondهذه ما حد روحت واحد أسكن تربيع جزء التربيع
+
+178
+00:13:40,350 --> 00:13:43,390
+أيه؟ واحد أسكن اذا واحد أسكن عشان كده في الأخر
+
+179
+00:13:43,390 --> 00:13:46,750
+جالك رموزها بالرمز Omega لأن Omega معروفة في ال
+
+180
+00:13:46,750 --> 00:13:50,390
+physics هي frequency و ال frequency واحدة و واحد
+
+181
+00:13:50,390 --> 00:13:53,230
+أسكن في الأول بدي أحط ثابت هو اللي نزل عليه الوحي
+
+182
+00:13:53,230 --> 00:13:57,550
+جاله أحط الثابت Omega ثابت حط K حط A حط B هيك
+
+183
+00:13:57,550 --> 00:14:01,300
+الأصل لو أنا ماعرفش الثابت بحط أي رمزفهي محطة اول
+
+184
+00:14:01,300 --> 00:14:04,300
+ثابت هذا ثابت حطه ايه؟ في الآخر لما نجوا واحدة
+
+185
+00:14:04,300 --> 00:14:07,760
+واحدة على سكن قالوا حطوا omega ما هو ناس هو omega
+
+186
+00:14:07,760 --> 00:14:12,000
+وبالتالي ال concern المهم بقولني to find the
+
+187
+00:14:12,000 --> 00:14:17,620
+current we have to derive a q with respect to t I
+
+188
+00:14:17,620 --> 00:14:22,120
+equal dq over dt equal minus لأن تفادر ال cosine
+
+189
+00:14:22,120 --> 00:14:26,820
+سالب صين q maximum في omega sine omega t طيب كمان
+
+190
+00:14:26,820 --> 00:14:34,350
+مرة ايش واحدة ال q شباب؟و لومجا و واحد ع second
+
+191
+00:14:34,350 --> 00:14:38,690
+كلهم ع second ايش وحدتها امبير اذا هادي في هادي
+
+192
+00:14:38,690 --> 00:14:42,110
+طيارة مش طيارة بس حطها I maximum عشان هادي Q
+
+193
+00:14:42,110 --> 00:14:45,650
+maximum طبعا شخصية مضطقية بقولي هادي I و هادي I
+
+194
+00:14:45,650 --> 00:14:48,610
+لان هادي second و هادي واحد ع second هنا مافيش
+
+195
+00:14:48,610 --> 00:14:53,530
+وحدات تمام؟ و بعدين ايش اكبر قيمة لل sign؟اذا إيش
+
+196
+00:14:53,530 --> 00:14:57,330
+بدك توقع أكبر قيمة لل I I maximum فبالصورة المنطق
+
+197
+00:14:57,330 --> 00:14:59,990
+أن هذا اللي جانب ال sine و ال cosine دائما هو ال
+
+198
+00:14:59,990 --> 00:15:03,450
+maximum value ل ال variable اللي موجود فهذه I
+
+199
+00:15:03,450 --> 00:15:05,790
+maximum فمن هذه المعادلة منين يقولوا يجدش I
+
+200
+00:15:05,790 --> 00:15:10,210
+maximum من هذه المعادلة يقولوا يجدش I maximum مش Q
+
+201
+00:15:10,210 --> 00:15:14,210
+maximum في يوم دي يا شبابI maximum شو Q maximum في
+
+202
+00:15:14,210 --> 00:15:19,610
+Omega؟ اه و I maximum ساو Q maximum في Omega.إذن
+
+203
+00:15:19,610 --> 00:15:25,450
+الآن زي ما Q و I حاجية برضه I حاجية لأن طول ما
+
+204
+00:15:25,450 --> 00:15:30,630
+الشحنات بتمشي شباب في تيارفضن كبسطر راح الطيار،
+
+205
+00:15:30,630 --> 00:15:35,050
+اذا الطيار شويه شويه عمله بزيد، برجع الطيار لإن
+
+206
+00:15:35,050 --> 00:15:39,310
+ساعتها بده يبدأ المكفف ينشحن، بعد ما فضن بده
+
+207
+00:15:39,310 --> 00:15:43,270
+ينشحن، بعدين بده يفضن، بعدين برجع، بتنقص مصير
+
+208
+00:15:43,270 --> 00:15:47,170
+Zero، بعدين بنكر، بتزيد لمصير Maximum، وهكذا، برضه
+
+209
+00:15:47,170 --> 00:15:51,170
+الطياربيكون عبارة عن sin و ال cosine و ال sin
+
+210
+00:15:51,170 --> 00:15:54,910
+رياضية نفس ال function الفرق بينهم وين واحد بيبدأ
+
+211
+00:15:54,910 --> 00:15:57,930
+ال cosine بيبدأ من maximum و ال sin بيبدأ من ال
+
+212
+00:15:57,930 --> 00:16:02,710
+zero مظبط ولا لأ لإنه لو جيت بدرسهم هي q maximum
+
+213
+00:16:02,710 --> 00:16:07,210
+zero maximum من ناحية تانية zero maximum هكذا
+
+214
+00:16:07,210 --> 00:16:11,630
+الطيار بيبدأ
+
+215
+00:16:11,630 --> 00:16:28,450
+من zeroلأن cos صفر Q maximum لكن صفر صفر صفر
+
+216
+00:16:28,450 --> 00:16:36,870
+صفر صفر صفر صفر صفر صفر صفر صفر صفر صفر
+
+217
+00:16:38,580 --> 00:16:42,860
+خمسة ماكرو كلوم، هذه بدي أحطها ميت أمبير، مصحى
+
+218
+00:16:42,860 --> 00:16:46,420
+اللي؟ ليش
+
+219
+00:16:46,420 --> 00:16:53,940
+مصحى الليش؟ تعرف
+
+220
+00:16:53,940 --> 00:17:01,360
+تقارن من أكبر شبابها، خمسة كيلو جرام ولا ميت متر،
+
+221
+00:17:01,360 --> 00:17:07,050
+من أكبر؟أه، من أكبر، تقدر تقول 100 متر أكبر؟ وهذه
+
+222
+00:17:07,050 --> 00:17:09,210
+نفس العملية، لا تقدر تقول من أكبر، ليش؟ هذه ليست
+
+223
+00:17:09,210 --> 00:17:12,670
+واحدتها، بيبقى كلهم هذين بيبقوا .. يعني ممكن نعمل
+
+224
+00:17:12,670 --> 00:17:14,950
+إيه، اللي بدكم هو إيه، ليش واحد يقول هذه أكبر من
+
+225
+00:17:14,950 --> 00:17:17,590
+هذه، لأ، هذه رسمة، هيك، هو الاصل اللي بتسمه كل
+
+226
+00:17:17,590 --> 00:17:20,650
+واحد هيرسمة لحاله، لكن لو أخططهم مع بعض، مافيش
+
+227
+00:17:20,650 --> 00:17:24,690
+مقارنة بينهم، لأن they are completely different
+
+228
+00:17:24,690 --> 00:17:29,750
+two quantities، بالتالي we can't compare between
+
+229
+00:17:29,750 --> 00:17:30,070
+them
+
+230
+00:17:34,410 --> 00:17:39,230
+طبعا احنا بنعرف ان omega لها علاقة بالزمن الدوري
+
+231
+00:17:39,230 --> 00:17:44,130
+ولا لأ شباب omega 2pi على T لان omega بيساوي 2pi
+
+232
+00:17:44,130 --> 00:17:49,010
+في ال frequency وبعرفش جثة omega بيساوي 2pi f هذين
+
+233
+00:17:49,010 --> 00:17:53,730
+تعرفين 2pi من وين اجت من وين اجت 2pi عشان عمراش
+
+234
+00:17:53,730 --> 00:17:59,250
+ننساهاإيش يعني Angular؟ يعني خلّيني أقول، خلّيني
+
+235
+00:17:59,250 --> 00:18:03,930
+أتذكر طب و قلتول هذه radian per second صح؟ و هذه
+
+236
+00:18:03,930 --> 00:18:07,950
+دورة لكل second الدورة كم radian؟ اتنين باقى،
+
+237
+00:18:07,950 --> 00:18:13,030
+اتنين باقى فهذه اتنين باقى هي الدورة الدورة، عشان
+
+238
+00:18:13,030 --> 00:18:16,150
+كده بنقول هذه دورة، هذه radian فالدورة بيساوي
+
+239
+00:18:16,150 --> 00:18:20,810
+اتنين باقى زي لما أقول أنا لإخر ما أحول من كيلومتر
+
+240
+00:18:20,810 --> 00:18:25,870
+لمتر بدرخميةعشان ال kilometer في الف عشان ال
+
+241
+00:18:25,870 --> 00:18:28,730
+kilometer في الف بس و هدى نفس العملية عشان اتنين
+
+242
+00:18:28,730 --> 00:18:30,990
+باى يتذكر بقول ان هو انجلت ان اوميجا بساوة اتنين
+
+243
+00:18:30,990 --> 00:18:34,110
+باى في F و ال F واحد ع تاو و التاو هو الزمن الدوري
+
+244
+00:18:34,110 --> 00:18:38,530
+بتصل عندى Q بساوة Q maximum بعد اوميجا اللى اولا
+
+245
+00:18:38,530 --> 00:18:42,270
+نية حطت هنا و ال I بساوة سالب I maximum sign فهدى
+
+246
+00:18:42,270 --> 00:18:47,530
+الوراقات اللى موجودة مفيش عندى اي اشكالية طبعا هدى
+
+247
+00:18:47,530 --> 00:18:53,480
+بيفرجيك كيف صوت الرسم عنده بقول هى كبسيطةهذا كان
+
+248
+00:18:53,480 --> 00:18:56,660
+مليان positive و negative مزايا مليان إذا انهيزها
+
+249
+00:18:56,660 --> 00:19:01,460
+في مجال كهربائي قطعا هذا كان سلك عادي مافيش فيه
+
+250
+00:19:01,460 --> 00:19:05,360
+إشي أول ما سكرت مفتاح بدل .. هنا كانت طيار سفر
+
+251
+00:19:05,360 --> 00:19:08,650
+وأول ما سكرت مفتاح بدل طيار يمشيبذالبدأ الطيار
+
+252
+00:19:08,650 --> 00:19:11,770
+يمشي يشتغل الملف الملف بيشتغل لما الطيار يكون
+
+253
+00:19:11,770 --> 00:19:15,010
+بتغير و انا في ال charging و ال discharging الطيار
+
+254
+00:19:15,010 --> 00:19:18,490
+بتغير ما زال الطيار بتغير ما ازاما هذا بدأ يشتغل
+
+255
+00:19:18,490 --> 00:19:22,850
+صار يخزن طاقة مغناطيسية عشان كده في مجال مغناطيسي
+
+256
+00:19:22,850 --> 00:19:28,980
+في مجال مغناطيسي من الطيار تماملما هدى يفضى، هدى
+
+257
+00:19:28,980 --> 00:19:32,840
+فضى، وليه محطقته؟ هنا فهنا المجال الكهربا يسفل،
+
+258
+00:19:32,840 --> 00:19:35,380
+لكن المجال المناطيسي موجود ولا لا؟ واتجاهه لأسفل
+
+259
+00:19:35,380 --> 00:19:39,260
+المجال المناطيسي بحسب قاعدة اليدى اليمنى، فالآخر
+
+260
+00:19:39,260 --> 00:19:42,360
+بعد ما هدى فضى الطاقة اللى هنا دلاش طاقة مخزنة،
+
+261
+00:19:42,360 --> 00:19:47,360
+لأن الدقة مغلقة، بتعود هذا بيشحن هدى، فانشحن، بس
+
+262
+00:19:47,360 --> 00:19:50,960
+إيش رأي؟ هدى positive، هدى إيش؟ negative، عشان كده
+
+263
+00:19:50,960 --> 00:19:53,740
+هدى لو كانت هدى positive، التاني إيش بتكون؟
+
+264
+00:19:53,740 --> 00:19:58,440
+negative، بين عكسهفهذا العكس .. صار في مجال تعبير
+
+265
+00:19:58,440 --> 00:20:02,320
+بس عكس هذا .. نرجع لهنا .. رجع .. فضّع .. تلاقي
+
+266
+00:20:02,320 --> 00:20:04,480
+عندي مجال ماناطيسي بس المرة العادية لأعلى .. عكس
+
+267
+00:20:04,480 --> 00:20:09,700
+هذا .. و هكذا .. مضله رايح جاي .. طبعا المنطق انه
+
+268
+00:20:09,700 --> 00:20:11,960
+زي البندول البسيط .. البندول البسيط دخلوا يعملوا
+
+269
+00:20:11,960 --> 00:20:14,540
+في المعمل .. حاططوه مضلوا رايح جاي .. لو جيتوه
+
+270
+00:20:14,540 --> 00:20:18,000
+تاني يوم مضلوا رايح جاي .. فهيبقوا جوا جافة .. اذا
+
+271
+00:20:18,000 --> 00:20:22,630
+هلأ بطل سنبرهار موج موشن .. where راح الطاقة؟فقدت
+
+272
+00:20:22,630 --> 00:20:27,750
+من وين؟ من الاحتكاكات ومقاومة الهوى الاحتكاك
+
+273
+00:20:27,750 --> 00:20:31,950
+والمقاومات in general سمناها non conservative
+
+274
+00:20:31,950 --> 00:20:37,290
+forces صحليش؟ بأذكر عشان قلنا سميناها non
+
+275
+00:20:37,290 --> 00:20:40,230
+conservative force لأنها لا تحافظ على الطاقة،
+
+276
+00:20:40,230 --> 00:20:45,190
+بتبيع الطاقة، فبالتالي الطاقة حتى واتفقنا أن طاقة
+
+277
+00:20:45,190 --> 00:20:48,630
+حركة طاقة اقتوانها اتحولها طاقة حركة، بعدين طاقة
+
+278
+00:20:48,630 --> 00:20:52,070
+الحركة صارت طاقة وامع نفسها، فبيبقوا على أي حجار،
+
+279
+00:20:52,070 --> 00:20:55,970
+لكن إذا في طاقة فقدت، بيصير طاقة الوضع جزء منها
+
+280
+00:20:55,970 --> 00:21:01,280
+حركة، وجزء داع، مقاومة، هوا أو احتكاكاتفبالتالي،
+
+281
+00:21:01,280 --> 00:21:04,600
+لو كانت هذه عشرة، المفروض تصل هنا عشرة عشان تظهرها
+
+282
+00:21:04,600 --> 00:21:07,300
+simple harmonic motion لكن في الواقع، إذا كانت هذه
+
+283
+00:21:07,300 --> 00:21:11,020
+عشرة، فهي تظهر تسعة و نص، بعدين تصل هنا تسعة عشان
+
+284
+00:21:11,020 --> 00:21:13,980
+كده بتكون هذه هن الارتفاع على كام سطرتي هنا بيصير
+
+285
+00:21:13,980 --> 00:21:18,060
+أربعة و نص مظبوط او لا، و بتدورها شوية شوية، تجل،
+
+286
+00:21:18,060 --> 00:21:21,800
+لما تجيها تاني يوم، بتلاقيها وقفة، يعني بيصير سفر
+
+287
+00:21:21,800 --> 00:21:24,820
+وهذه بيسميها damned oscillations اللي مااخدناش
+
+288
+00:21:24,820 --> 00:21:30,460
+الفيزيالف و مش هناخدها هناطب احنا نظريا هنا بنعتبر
+
+289
+00:21:30,460 --> 00:21:34,340
+الأسلاك اللى فى الدائرة مقومتها zero لكن فى الواقع
+
+290
+00:21:34,340 --> 00:21:38,860
+مقومتها zero؟ لأ زى هناك بالنظر اللى بنقول مافيش
+
+291
+00:21:38,860 --> 00:21:41,460
+مقاومة هوى لكن فى الواقع فى مقاومة هوى ولا لأ
+
+292
+00:21:41,460 --> 00:21:45,540
+فهناك بنهمل و هنا بنهمل شغلة فنظريا فى عندي simple
+
+293
+00:21:45,540 --> 00:21:50,120
+harmonic motion فى الواقع فى عندي فقدان للطاقة كيف
+
+294
+00:21:50,120 --> 00:21:53,650
+تفقد؟الطاقة في عندك طاقة تفقل I تربيع في الـI ال
+
+295
+00:21:53,650 --> 00:21:58,310
+power هذه ال watt واط على طبعا في زمان تطلع فيه
+
+296
+00:21:58,310 --> 00:22:00,970
+عندك energy فبالتالي الأسلاك هذه اللي انت بتعتبر
+
+297
+00:22:00,970 --> 00:22:04,730
+مقومتها zero هي لها مقاومة وبالتالي في طاقة تفقل
+
+298
+00:22:04,730 --> 00:22:09,170
+عشان كده لما تمسك السلك بتلاقيه سخن وإذن هذي طاقة
+
+299
+00:22:09,170 --> 00:22:14,090
+ولا مش طاقة طاقة لازم تكون أخدت من ال UC مرة أو من
+
+300
+00:22:14,090 --> 00:22:20,090
+ال UL مرة فهذه العملية الشغلةطبعا خلّينا نشتغل شغل
+
+301
+00:22:20,090 --> 00:22:24,410
+تاني قولي ارجع لل energy انت بدأت ان u total بتسوي
+
+302
+00:22:24,410 --> 00:22:29,350
+u c زائد u L و Q تربيع اتنين C زايد نص ال I تربيع
+
+303
+00:22:29,350 --> 00:22:33,910
+انت الآن بعد ما اشتغلت طلعتلي جديش Q جديش I و
+
+304
+00:22:33,910 --> 00:22:40,110
+قولتلي Q بيساوي Q maximum cosine Omega T و قولتلي
+
+305
+00:22:40,110 --> 00:22:45,250
+I بيساوي نهار سالب I maximum sine Omega T ماشيكتوا
+
+306
+00:22:45,250 --> 00:22:50,800
+الله علنا وياكم كوي؟ قولتلي عوضأعود في النهاية بدي
+
+307
+00:22:50,800 --> 00:22:54,180
+أثبت شباب أن هذي U total لازم تطلع ثابتة وإلا بكون
+
+308
+00:22:54,180 --> 00:22:57,800
+فيه إشكالية لأن U total is conserved لازم تكون
+
+309
+00:22:57,800 --> 00:23:00,660
+ثابتة هي مقعد Conserved دي نعود فيها قولنا يلّا
+
+310
+00:23:00,660 --> 00:23:07,500
+نعود ربي الحادي ربعناها وحطينا اتنين سيكو ساي طب
+
+311
+00:23:07,500 --> 00:23:11,920
+ربي الحادي السالب راح مظبوط ولا لأ؟ راح السالب ف I
+
+312
+00:23:11,920 --> 00:23:16,940
+maximum تربيه طيب لو قلتلي انت I maximum بساوي
+
+313
+00:23:16,940 --> 00:23:22,340
+Omega في Q maximumصح ولا لأ؟ طب و Omega بتساوي
+
+314
+00:23:22,340 --> 00:23:28,460
+واحد على ال C، ال Q maximum ولا لأ؟مظبوط ولا لأ؟
+
+315
+00:23:28,460 --> 00:23:33,320
+طويصة اشتغلناها جانى معوض بدل I maximum تربيه انك
+
+316
+00:23:33,320 --> 00:23:37,280
+تحط Omega اذا بيقولى هنا I maximum سوى Omega Q
+
+317
+00:23:37,280 --> 00:23:40,820
+maximum وبدل Omega حطيت واحد على L C Q maximum
+
+318
+00:23:40,820 --> 00:23:44,980
+ربحها وحطها هنا شباب اترى ايش بيحطها؟ ربحوها دى L
+
+319
+00:23:44,980 --> 00:23:49,920
+C هنا في L بيصير 2C في المقام ولا لأ؟ 2C وبدل هنا
+
+320
+00:23:49,920 --> 00:23:53,480
+Q maximum تربيه هذا بيصير هذا I من المشتركهذا
+
+321
+00:23:53,480 --> 00:23:56,040
+بيصيح عالم الشركات .. اش بيدور دي هو قصان تربيه زي
+
+322
+00:23:56,040 --> 00:24:01,100
+قصان تربيه جد ايش؟ واحد فطلعت هيك .. قصان تربيه زي
+
+323
+00:24:01,100 --> 00:24:04,280
+قصان تربيه بتسوي واحد .. بل هذا بل .. في اي عامل
+
+324
+00:24:04,280 --> 00:24:09,820
+زمن هنا ال .. ال u totalبتساوي اما q maximum تربيع
+
+325
+00:24:09,820 --> 00:24:13,820
+على 2C او بتساوي نص ال I maximum تربيع يعني ال
+
+326
+00:24:13,820 --> 00:24:17,080
+total ال maximum في ال capacitor هي ال total ولا
+
+327
+00:24:17,080 --> 00:24:20,400
+مش ال total لما تفضل في ال capacitor ايش بيكون في
+
+328
+00:24:20,400 --> 00:24:24,040
+ال inductor كان عنده maximum ولا لأ لما يقول اوجد
+
+329
+00:24:24,040 --> 00:24:27,960
+u maximum في واحد منهم هو ال u total تمام و بيصير
+
+330
+00:24:27,960 --> 00:24:33,000
+زي هذه الرسمةإن هذه هي ال total ال total energy
+
+331
+00:24:33,000 --> 00:24:36,440
+بين كينات ال energy و ال potential energy بس هنا
+
+332
+00:24:36,440 --> 00:24:40,220
+بين ال u تبعت ال c و ال u تبعت ال L يعني لو جيتها
+
+333
+00:24:40,220 --> 00:24:45,160
+صمت نفس الرسمة بيقول
+
+334
+00:24:45,160 --> 00:24:50,540
+اللي الزرجة هي u c و الحمرة هي u L لما الحمرة تكون
+
+335
+00:24:50,540 --> 00:24:55,110
+maximum لما الزرجة مش بتكونzero ولما الزرجة تكون
+
+336
+00:24:55,110 --> 00:25:00,370
+maximum الحمرض بتكون down فهذه دلالة على ان ال U
+
+337
+00:25:00,370 --> 00:25:05,970
+بتتناوب ما بين ال C و بين ال L إلى مالا نهاية طبعا
+
+338
+00:25:05,970 --> 00:25:10,710
+واحد بيجي جولته و كنا نحكي احنا عن الفضائيات و ال
+
+339
+00:25:10,710 --> 00:25:15,850
+receivers و كل هذه الأمور ال L C circuit اكبر
+
+340
+00:25:15,850 --> 00:25:21,590
+تطبيق لهافي الراديوهات جوائع الراديو فاتقوا من
+
+341
+00:25:21,590 --> 00:25:23,730
+الراديو اللي في جوالكم خلّيني أجي على الراديو
+
+342
+00:25:23,730 --> 00:25:28,750
+القديم الكبير مش كنت أنا فيه زر بن .. بنحرك فيه من
+
+343
+00:25:28,750 --> 00:25:33,670
+محطة لمحطة و زي ما بحكي إسيادكم إذا عايشين تيجي
+
+344
+00:25:33,670 --> 00:25:36,590
+تسأله مش كانوا يسمعوا زمان بقولك كان في محطتين
+
+345
+00:25:36,590 --> 00:25:40,970
+اسمعهاوفي محطة كان في مذيع اسمه أحمد سعيد عشان كده
+
+346
+00:25:40,970 --> 00:25:43,330
+جيت .. لما واحد يكذب يقول بقى كذاب زي أحمد سعيد
+
+347
+00:25:43,330 --> 00:25:48,510
+المثل لإن في حرب ال 67 ده أحمد سعيد كان هو المعلق
+
+348
+00:25:48,510 --> 00:25:51,570
+فكان من تعليقاته أن طائرات العدو تسقط زي الذباب ..
+
+349
+00:25:51,570 --> 00:25:54,570
+زي .. زي الذباب بعد ست أيام جميعهم راحوا الصين و
+
+350
+00:25:54,570 --> 00:25:58,670
+الجولان و الضخمة الغربية و غزة و .. فكان هو المذيع
+
+351
+00:25:58,670 --> 00:26:03,650
+تبع الصوت العربصوت رعاب بحطة رعاها جمال عبد الناصر
+
+352
+00:26:03,650 --> 00:26:08,130
+بأيام القومية العربية ماعرف اضلت ولا ماضلتش انا
+
+353
+00:26:08,130 --> 00:26:12,350
+داي لا ولا ماضلتش فكانوا اختارياتنا عشان انه طبعا
+
+354
+00:26:12,350 --> 00:26:15,470
+ان انتوا عارفين واحد بحب شغله تدي الأمل فكانوا
+
+355
+00:26:15,470 --> 00:26:18,430
+دايما يسمعوله ولكن بقى جوا كذاب طبعا هعملوا مثل
+
+356
+00:26:18,430 --> 00:26:22,390
+انه كذاب وكانت جانبها محطة اسمها ال BBC لندن انها
+
+357
+00:26:22,390 --> 00:26:26,350
+موجودةبرضه يختاريها كانوا يحبوا يسمعوها لأنه من
+
+358
+00:26:26,350 --> 00:26:30,450
+زمان المصداقية كانت موجودة عندهم من زمان و احنا
+
+359
+00:26:30,450 --> 00:26:37,010
+معروفين محطاتنا تلتبع أخبارهم كذب و شوف لك خبر أو
+
+360
+00:26:37,010 --> 00:26:40,990
+نص خبر دي هو بيكون صدقه لأ انت غيرت أمور فانت لما
+
+361
+00:26:40,990 --> 00:26:45,090
+تغيّر من محطة لمحطة إيش بتسوي؟شباب على و انت تجيب
+
+362
+00:26:45,090 --> 00:26:50,790
+الراديو في كل دائرة receiver راديو و لا تلفزيون و
+
+363
+00:26:50,790 --> 00:26:55,130
+لا جوال و لا اي حاجة في النهاية انت بتستخدم الموجة
+
+364
+00:26:55,130 --> 00:26:58,970
+بغض النظر موجة الجوال ماهي موجة برضه و موجة ال ..
+
+365
+00:26:58,970 --> 00:27:02,690
+الراديو موجة و موجة التلفزيون موجة كلها موجات انت
+
+366
+00:27:02,690 --> 00:27:06,010
+بلزمك يكون عندك دائرة running زي ما حكى أصدقاءكم
+
+367
+00:27:06,010 --> 00:27:10,490
+ال C circuit لما نغير نرجع للراديو تبع سيادنا لما
+
+368
+00:27:10,490 --> 00:27:16,560
+نغير كان فيه capacitorشكله كيف؟ شكله بيجيبه نص
+
+369
+00:27:16,560 --> 00:27:23,000
+دسك، نص دسك، بربطه بعمود وفيه نص دسك ثاني ثابت،
+
+370
+00:27:23,000 --> 00:27:27,040
+واحد بيخش في التانين، اذا تصورته دسكات زيك، بيخش،
+
+371
+00:27:27,040 --> 00:27:30,060
+كيف ذكرتها؟ البرا للبريد كلبستر هي برا للبريد
+
+372
+00:27:30,060 --> 00:27:33,500
+كلبستر، لما يكون هيكماذا يفعل الكباسيت ساعتها؟
+
+373
+00:27:33,500 --> 00:27:36,960
+بتجللها .. بصي لإيه؟ لإبليس الجدار يتبع بعض جلال
+
+374
+00:27:36,960 --> 00:27:40,720
+.. فهو بفوته تبع بعض .. انت لما تعمل هيك و تعمل
+
+375
+00:27:40,720 --> 00:27:45,240
+هيك .. بتكتر او بتجلل الكباسيتر تبعت الراديو ..
+
+376
+00:27:45,240 --> 00:27:48,220
+لما تكتر او تجلل الكباسيتر الشباب .. إيه بصي اللي
+
+377
+00:27:48,220 --> 00:27:52,470
+فيه Omega؟ هي Omega .. بتتغير Omegaيعني إذا انت
+
+378
+00:27:52,470 --> 00:27:55,590
+بتغير .. في هذه الحالة انت بتغير ال frequency تبع
+
+379
+00:27:55,590 --> 00:27:59,710
+الراديو تبعك بواسط تغيير C إيه اللي بيثبتوها؟
+
+380
+00:27:59,710 --> 00:28:03,810
+فبيغيروا C لما تتغير Omega و تصير Omega تبع
+
+381
+00:28:03,810 --> 00:28:08,950
+الراديو تساوي Omega تبع ال BBC ولا صوت العرب ولا
+
+382
+00:28:08,950 --> 00:28:12,710
+آل المحطات اللي موجودة ساعتها بيصير فيه إيرانين
+
+383
+00:28:13,320 --> 00:28:17,500
+بتتساوى وبالتالي التردد اللي انت بيدكيه بيخش جوا
+
+384
+00:28:17,500 --> 00:28:21,480
+الراديو في الدائرة وبتعالج وبتحول لصوت او بتحول
+
+385
+00:28:21,480 --> 00:28:27,280
+لصورة اذا تلفزيون فمن وين في عملية receiving of
+
+386
+00:28:27,280 --> 00:28:31,780
+signals لازم يكون في ال circuit موجودة لان هي اللي
+
+387
+00:28:31,780 --> 00:28:36,630
+بتعمل فكرة ال running وبنشتر عليها طبعاانتوا
+
+388
+00:28:36,630 --> 00:28:42,730
+عارفين الموجات في FM و في MW و في SW ال FM مشكلتها
+
+389
+00:28:42,730 --> 00:28:49,730
+تقدرش تبعتها لمسافات طويلة غير عن ال SW في الراديو
+
+390
+00:28:49,730 --> 00:28:53,610
+هاتف برضه قديم فيه تبطلنا نستخدمها يمكن فيه كان في
+
+391
+00:28:53,610 --> 00:28:58,940
+الراديو في SW و في MWتمام هدول بالاضافة للأفأم
+
+392
+00:28:58,940 --> 00:29:03,800
+الأفأم زى ما حكينا محلية دائما لكن هدلات كان زمان
+
+393
+00:29:03,800 --> 00:29:09,340
+ال BBC مرات تنجل بث من لندن وانتصلنا بواسط الشورت
+
+394
+00:29:09,340 --> 00:29:14,160
+waves تمام بس هجيت كلهم بيبقوا يتعاملوا مع الأفأم
+
+395
+00:29:14,160 --> 00:29:18,240
+لإنه محلية و بيصي في تقوية محلية حتى الجزيرة لإنها
+
+396
+00:29:18,240 --> 00:29:22,760
+أفأم ممكن تبث من غزة على الأفأم بواسط المكاتب
+
+397
+00:29:22,760 --> 00:29:24,800
+تبعتها اللى موجودة ها
+
+398
+00:29:27,790 --> 00:29:31,590
+فتطبيقات ال IC circuit موجودة في كل الدوائر اللي
+
+399
+00:29:31,590 --> 00:29:36,510
+حوالينا لأنه الجوال نفس القضية طبعا تقف الجوال من
+
+400
+00:29:36,510 --> 00:29:39,610
+منطقة لمنطقة عشان يقوي ال air cell تبعه اللي محط
+
+401
+00:29:39,610 --> 00:29:45,050
+محطة تقوية و مرات بيحطوها على برج سكنية و كان فيه
+
+402
+00:29:45,050 --> 00:29:48,570
+خلاف انها اللي هي مضرة ولا مش مضرة لكن في النهاية
+
+403
+00:29:48,570 --> 00:29:53,480
+عشان انت تجيبالخدمة بصورة جيدة لازم تكون في محطة
+
+404
+00:29:53,480 --> 00:29:57,160
+تقوية وإلا محطة تقوية لمدينة زي غزاب تنفحش لازم
+
+405
+00:29:57,160 --> 00:30:00,480
+تكون في أكتر من محطة وإلا بصير المرات تكون الرسال
+
+406
+00:30:00,480 --> 00:30:05,220
+بيجمعش زي مثلا لما تروح انت ع بدروم بتلاقي الرسال
+
+407
+00:30:05,220 --> 00:30:10,830
+تبعك بيجمعش لإنه بدك الموجةتجيك ب energy مناسبة
+
+408
+00:30:10,830 --> 00:30:15,030
+حتى يقدر جهاز الجوال ياخدها و يحولها لإنه في
+
+409
+00:30:15,030 --> 00:30:19,230
+النهاية الأصوات اللي بتسمحها محملة بموجات
+
+410
+00:30:19,230 --> 00:30:22,390
+كهوماناطسية و انت بتاخدها و بتتعالجها و بتصير في
+
+411
+00:30:22,390 --> 00:30:26,290
+عندك العملية نفس عملية البث التلفزيوني ولا البث
+
+412
+00:30:26,290 --> 00:30:31,490
+الإيزاعي كلها بتحمل نفس الشغلات تمام
+
+413
+00:30:41,250 --> 00:30:45,670
+مثال سهل جدا الموجود على هذا الموضوع بيقول لي
+
+414
+00:30:45,670 --> 00:30:54,310
+خلينا نرسم الدائرة في كباسيطر C بتساوي 9 Picofarad
+
+415
+00:30:55,980 --> 00:31:02,480
+والملف 2.81 ميلي هنري فى عندك بطارية لو سمكت اس
+
+416
+00:31:02,480 --> 00:31:06,380
+اتنين وخلت اس واحد مفتوح ايش بيصير فى الكابسيتم؟
+
+417
+00:31:06,380 --> 00:31:10,360
+بيشحن .. بيشحن .. بتقدر تجيب ال Q maximum؟ كده؟
+
+418
+00:31:11,760 --> 00:31:17,480
+اللي هي 12×9×10-12 هيك بتكون ضمنت انك كبست من تلت
+
+419
+00:31:17,480 --> 00:31:22,120
+امانا ولا لأ تمام ال key maximum جيتها افتح S2
+
+420
+00:31:22,120 --> 00:31:28,160
+اصفر البطارية فسلطة نهمة خلصت شحانات مكثفة طب الآن
+
+421
+00:31:28,160 --> 00:31:32,420
+افتح ساكر S1 سلط عندك LC circuit ولا لأ بفتح عملية
+
+422
+00:31:32,420 --> 00:31:36,160
+الاهتزاز تروح و تيجي بقولي consider the circuit
+
+423
+00:31:36,160 --> 00:31:43,520
+shown first S1 is open التحتانيو S2 مقفل لإن
+
+424
+00:31:43,520 --> 00:31:45,420
+الكبسيطر مشحن
+
+425
+00:32:12,490 --> 00:32:18,210
+و C مدهش شغل مدهش كل ايه تاني يشتغل تمام فعندي Q
+
+426
+00:32:18,210 --> 00:32:21,130
+maximum انتوا طلعتوها Q maximum ولا لأ مش Q
+
+427
+00:32:21,130 --> 00:32:23,830
+maximum هي التسعة في اتنائش في عشر السالة في
+
+428
+00:32:23,830 --> 00:32:28,930
+اتنائش طب I maximum ايش علاقتها ب Q maximum I
+
+429
+00:32:28,930 --> 00:32:31,430
+maximum بيسوي Omega في Q maximum تماشي Omega
+
+430
+00:32:31,430 --> 00:32:34,510
+طلعتها هنا انت و Q maximum طلعتها طلعتها بعدين
+
+431
+00:32:34,510 --> 00:32:38,550
+بيقولي او يضع I و Q as a function of T تمام
+
+432
+00:32:40,150 --> 00:32:43,850
+Solution بقولوا ال frequency is given by القرون ال
+
+433
+00:32:43,850 --> 00:32:48,170
+calculator مشتغلت واحد على ال C وهي ال L وهي ال C
+
+434
+00:32:48,170 --> 00:32:53,030
+حولت من Pico Farad لFarad وحولت من Henry ل Henry
+
+435
+00:32:53,030 --> 00:32:57,670
+طلعت الجواب تمامThe maximum charge on the
+
+436
+00:32:57,670 --> 00:33:00,890
+capacitor is the initial charge before opening S2
+
+437
+00:33:11,710 --> 00:33:16,630
+الاخر في الفرق B I maximum بقوله I maximum بتساوي
+
+438
+00:33:16,630 --> 00:33:20,110
+Omega في Q maximum Omega طلعت من الفرق الأول و Q
+
+439
+00:33:20,110 --> 00:33:24,550
+maximum عملك بتطلعها فطلعت 6.79 10 to power minus
+
+440
+00:33:24,550 --> 00:33:30,530
+4 ampere هذه أقصى تيار في الدائرةبقى كده بقول اوجد
+
+441
+00:33:30,530 --> 00:33:34,430
+لي Q و I as a function of T بقول القانون اللي
+
+442
+00:33:34,430 --> 00:33:37,430
+بوضبط Q مع الزمن بقول Q بيسوي Q maximum cosine
+
+443
+00:33:37,430 --> 00:33:40,510
+Omega T هاي ال Q maximum طلعت عندي و Omega أنا
+
+444
+00:33:40,510 --> 00:33:44,010
+بعرفها عود و هو بيديها بدالك الزمن خليها بدالك
+
+445
+00:33:44,010 --> 00:33:47,170
+الزمن فحرفات بدل Q maximum حرفات بدل Omega وهي
+
+446
+00:33:47,170 --> 00:33:54,410
+الزمن و I maximum مش قانونها هدي I maximum هدي Iأي
+
+447
+00:33:54,410 --> 00:33:58,750
+maximum sine omega t برضه بتعود و بتطلع النتيجة
+
+448
+00:33:58,750 --> 00:34:06,210
+تمام؟ إذا الحل تلقاه وسهل جدا، هيك بنكون أنهينا
+
+449
+00:34:06,210 --> 00:34:06,790
+هذا ال chapter
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/XBRxd51DgpE_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/XBRxd51DgpE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fbd977567b128b20568fa31252ade0458cfaf230
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/XBRxd51DgpE_postprocess.srt
@@ -0,0 +1,3260 @@
+1
+00:00:09,780 --> 00:00:13,800
+تمام نبدأ بسم الله الرحمن الرحيم نستأنف ما تبقى من
+
+2
+00:00:13,800 --> 00:00:18,500
+ال chapter السادس عنوان ال section اللى هنشرحه هو
+
+3
+00:00:18,500 --> 00:00:22,340
+culture rules احنا عرفنا المراهدين ان الدواء
+
+4
+00:00:22,340 --> 00:00:24,760
+القعبائية بتكون اما موصلة على التوالي او على
+
+5
+00:00:24,760 --> 00:00:28,480
+التوازيلكن ما هوش هدول الخيارين الوحيدين الموجودين
+
+6
+00:00:28,480 --> 00:00:32,020
+هو ان الشغلة مش أبضب او أسود في شغلات رمضية بمعنى
+
+7
+00:00:32,020 --> 00:00:35,700
+اخر ان في مرات التوصيلة بتكون لا هي توالي ولا هي
+
+8
+00:00:35,700 --> 00:00:39,920
+توازي وانا بقدرش احلل الدائرة الكعبائية باستخدام
+
+9
+00:00:39,920 --> 00:00:43,180
+فقط مبدأي التوالي والتوازي فكان لابد من وجود
+
+10
+00:00:43,180 --> 00:00:47,800
+نظريات مختلفة عشان احلل وابسط الدواء الكعبائية من
+
+11
+00:00:47,800 --> 00:00:52,390
+أشهر هذه النظريات والقواعد هي Kershawsكيرشوف حط
+
+12
+00:00:52,390 --> 00:00:56,490
+قاعدتين كتير بسيطين يحل فيهم الدواء الكهربائية اي
+
+13
+00:00:56,490 --> 00:01:00,110
+ان كانت اتعاقيد الدائرة الكهربائية بضل بعد كده
+
+14
+00:01:00,110 --> 00:01:05,270
+مشكلة رياضية تبقى حل معادلات جبرية مش اكتر فكيرشوف
+
+15
+00:01:05,270 --> 00:01:09,650
+رولز اللي هم المعادلتين التاليتين المعادل الأولى
+
+16
+00:01:09,650 --> 00:01:13,950
+بصورة بسيطة بيحكي ان الطيار لما ييجي بالدوينجسيم
+
+17
+00:01:14,970 --> 00:01:19,650
+مفروض لو هو عشران جسم أربعة التاني إيش بيكون؟ إذا
+
+18
+00:01:19,650 --> 00:01:23,130
+هو أربعة و ستة عشر هي قاعدة مش قاعدة هي أفضل تمام؟
+
+19
+00:01:23,130 --> 00:01:26,450
+بيبقى بيبقى صيغة فجال the sum of the currents
+
+20
+00:01:26,450 --> 00:01:30,870
+entering any junction must equal the sum of the
+
+21
+00:01:30,870 --> 00:01:33,910
+currents leaving that junction طبعا طيالة ما يدخل
+
+22
+00:01:33,910 --> 00:01:38,230
+بعود بتوزع فبيكون كإنه داخل النقطة و بعدين طلع من
+
+23
+00:01:38,230 --> 00:01:41,590
+النقطة فاللي داخل عن النقطة بيساوي اللي خارج من
+
+24
+00:01:41,590 --> 00:01:46,670
+النقطة النقطة هذه يسموها junctionحاجتها عندي
+
+25
+00:01:46,670 --> 00:01:50,070
+النقطة هذه انت هذه النقطة الطيارية في طيار مش
+
+26
+00:01:50,070 --> 00:01:54,050
+بيتوزع بيتوزع لهذا الطيار وهذا الطيار بقدر اقول اي
+
+27
+00:01:54,050 --> 00:01:55,390
+واحد بيساوي اي اتنين اتنين اتنين اتنين اتنين اتنين
+
+28
+00:01:55,390 --> 00:01:55,630
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+29
+00:01:55,630 --> 00:01:57,750
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+30
+00:01:57,750 --> 00:01:58,810
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+31
+00:01:58,810 --> 00:02:00,610
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+32
+00:02:00,610 --> 00:02:06,930
+اتنين اتنين اتنتمام مش هو junction a junction is
+
+33
+00:02:06,930 --> 00:02:11,790
+any point هي نقطة in a circuit where a current can
+
+34
+00:02:11,790 --> 00:02:19,320
+split اللي عندها تيار بينقسم بيتجسم إلى أي ذاكطبعا
+
+35
+00:02:19,320 --> 00:02:23,060
+عندي هدا هي نقطة واضحة ان الطيار عندها انجسم الى
+
+36
+00:02:23,060 --> 00:02:26,060
+جسمين وبالتالي بقول الطيار الأصل اللى داخل بيساوي
+
+37
+00:02:26,060 --> 00:02:31,020
+الطيارين اللى خارجين وهدى نظرية كتير سهلة ومعروفة
+
+38
+00:02:31,020 --> 00:02:35,540
+وبيدهش شغل طبعا من وين أصلها مبدأ conservation of
+
+39
+00:02:35,540 --> 00:02:38,320
+charge ان ال charge is conserved معناه طبعا عند ال
+
+40
+00:02:38,320 --> 00:02:41,540
+charge انجسمت مجموعة يبقى بيساوي المجموعة الأولانى
+
+41
+00:02:41,540 --> 00:02:44,640
+مبدأ conservation of charge القاعدة التانية ايش
+
+42
+00:02:44,640 --> 00:02:48,610
+بقولبقول الـ algebraic sum of the potential
+
+43
+00:02:48,610 --> 00:02:52,530
+differences across all the elements around any
+
+44
+00:02:52,530 --> 00:02:56,410
+loop must be zero ايش يعني؟ بقول لو كان عندك شغل
+
+45
+00:02:56,410 --> 00:03:05,050
+زي هيك انا مراهديك زي هيك اظن و
+
+46
+00:03:05,050 --> 00:03:07,970
+يبقى فرقة جهود بين a و b هنا في عندك epsilon و هنا
+
+47
+00:03:07,970 --> 00:03:14,250
+في IR small r زي ما عملناهامش انا بقول فرق الجهد
+
+48
+00:03:14,250 --> 00:03:18,870
+بين a و b عندي شغلتين epsilon و IR صح ولا لأ
+
+49
+00:03:18,870 --> 00:03:27,430
+بحسبهم طيب va ناقص va ايش توقع الجواب يكون zero هي
+
+50
+00:03:27,430 --> 00:03:30,470
+قاعد كشف التانية va ناقص va
+
+51
+00:03:34,970 --> 00:03:43,190
+لازم اللوب يكون مغلق لازم اللوب يكون مغلق لازم
+
+52
+00:03:43,190 --> 00:03:43,650
+اللوب يكون مغلق لازم اللوب يكون مغلق لازم اللوب
+
+53
+00:03:43,650 --> 00:03:44,130
+مغلق لازم اللوب يكون مغلق لازم اللوب يكون مغلق
+
+54
+00:03:44,130 --> 00:03:45,710
+لازم اللوب يكون مغلق لازم اللوب يكون مغلق لازم
+
+55
+00:03:45,710 --> 00:03:47,210
+اللوب يكون مغلق لازم اللوب يكون مغلق لازم اللوب
+
+56
+00:03:47,210 --> 00:03:47,950
+مغلق لازم اللوب يكون مغلق لازم اللوب يكون مغلق
+
+57
+00:03:47,950 --> 00:03:52,570
+لازم اللوب يكونطيب و انت باشي هيكون عندك مشكلة
+
+58
+00:03:52,570 --> 00:03:56,570
+عندك فضطريات و عندك مقاومات و انت بتجمع فرخ جهد
+
+59
+00:03:56,570 --> 00:03:58,810
+فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد
+
+60
+00:03:58,810 --> 00:03:58,890
+هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و
+
+61
+00:03:58,890 --> 00:03:59,450
+فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد
+
+62
+00:03:59,450 --> 00:04:00,850
+فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد
+
+63
+00:04:00,850 --> 00:04:06,590
+هنا و فرخ جهد هنا و فرخ جهد هنا و فرخ جهد هنا و
+
+64
+00:04:06,590 --> 00:04:11,300
+فرخ جهد هنا و فرخ جو ال scholars جامعهم جبري و ال
+
+65
+00:04:11,300 --> 00:04:14,460
+scholars هدول عشان فرق جهود ممكن يكون positive او
+
+66
+00:04:14,460 --> 00:04:17,560
+ممكن يكون negative تبع اللي ايه و ايه الشغل المره
+
+67
+00:04:17,560 --> 00:04:21,260
+دي حكينا التالي شباب و انا طالع من واطي لعالي بكسب
+
+68
+00:04:21,260 --> 00:04:24,820
+طاقة ولا بفقد طاقة يعني الفرق في الطاقة موجب ولا
+
+69
+00:04:24,820 --> 00:04:29,400
+سالب؟ موجب و انا نازل؟ سالب كيف بدي اعملها؟ بقول
+
+70
+00:04:29,400 --> 00:04:33,900
+لو كنت انا ماشي من الواطي للعالي بيكون فرق الجهود
+
+71
+00:04:33,900 --> 00:04:37,940
+موجبولو كنت ماشي من العالى للواطى بيكون الفرق سالب
+
+72
+00:04:37,940 --> 00:04:42,800
+صح ولا لأ؟ العالى والواطى بيقابلها في الكهربية
+
+73
+00:04:42,800 --> 00:04:46,480
+السالب والموجب صحيح ولا لأ؟ السالب واطى والموجب
+
+74
+00:04:46,480 --> 00:04:49,880
+عالى إذا أنا ماشي من السالب للموجب معناته هو الفرق
+
+75
+00:04:49,880 --> 00:04:53,420
+موجب وإذا ماشي من الموجب للسالب بيكون الفرق سالب
+
+76
+00:04:53,420 --> 00:04:58,090
+إذن وانا ماشي بتعامل معها طبعا احنا هنكررها كتيرفي
+
+77
+00:04:58,090 --> 00:05:01,890
+الأول هنا اللي حكيته بيقولي the first rule is an
+
+78
+00:05:01,890 --> 00:05:04,070
+application of the conservation of charge
+
+79
+00:05:04,070 --> 00:05:08,290
+principle اه حكينا طب second one يابا بيقول هذا
+
+80
+00:05:08,290 --> 00:05:11,570
+مبدأ conservation of energy انت هذا جاي مراح و رجع
+
+81
+00:05:11,570 --> 00:05:16,970
+ماكانتش الطاقة الكلية في الآخر سفر هذا مبدأ طبعا
+
+82
+00:05:16,970 --> 00:05:20,980
+هل الجهود اللي علاقة بالطاقة و لا علاقة؟فهي طاقة
+
+83
+00:05:20,980 --> 00:05:24,200
+فانهي جواد ما هو طاقة اذا لما يقولي انه فق جواد
+
+84
+00:05:24,200 --> 00:05:26,040
+بالنقطتين نفس النقطتين بالساعة و الساعة .. ما هو
+
+85
+00:05:26,040 --> 00:05:31,060
+منطقي لأنه متعامل مع طاقة تمام بيقولي to apply the
+
+86
+00:05:31,060 --> 00:05:34,000
+second rule عشان انت تشتغل على ال second rule هي
+
+87
+00:05:34,000 --> 00:05:38,140
+أثناء المعذرة ال first rule سهلة سهلة كتير لأنه
+
+88
+00:05:38,140 --> 00:05:41,260
+مجرد الداخل مثلا ولا الخارج to apply the second
+
+89
+00:05:41,260 --> 00:05:44,580
+rule we should know the following two remarksأيش
+
+90
+00:05:44,580 --> 00:05:47,480
+في عندي؟ بتركز أنا على المقارنة وبتركز على
+
+91
+00:05:47,480 --> 00:05:50,720
+البطارية since the current through a resistor
+
+92
+00:05:50,720 --> 00:05:53,840
+moves from the end of higher potential to that of
+
+93
+00:05:53,840 --> 00:05:58,160
+lower potential هي عندي مقارنة و هي التيام تقولولي
+
+94
+00:05:58,160 --> 00:06:01,980
+وين الجهد العالي و وين الجهد الواقعي هالجام؟ انا
+
+95
+00:06:01,980 --> 00:06:04,360
+ماعرفش الجهد العالي و الجهد الواقعي الآن إذا أنا
+
+96
+00:06:04,360 --> 00:06:08,520
+ماشي هي من عالي لواقعي سالبصح ولا لأ؟ إذا أنا ماشي
+
+97
+00:06:08,520 --> 00:06:11,400
+.. هاي ال initial point وهي ال final point، منتهي
+
+98
+00:06:11,400 --> 00:06:14,780
+الفرق سالب، إذا أنا ماشي من هال لها، هذا السلب
+
+99
+00:06:14,780 --> 00:06:17,640
+وهذا الموجب، أنا مازل من واقعي للعالي، بكل موجب،
+
+100
+00:06:17,640 --> 00:06:20,380
+يعني هذي زي ما انتوا حاكيتولي الموجب والسلب وضعوا،
+
+101
+00:06:20,380 --> 00:06:24,080
+من وضعوا اتجاه التيار؟ لو المقاومة مافيش فيها
+
+102
+00:06:24,080 --> 00:06:27,480
+تيار، بقدر أعرف موجبها من سلبها؟ لأاذا لازم انا
+
+103
+00:06:27,480 --> 00:06:31,360
+اكون في طيار بيقول ليه the change in potential
+
+104
+00:06:31,360 --> 00:06:36,800
+through any resistor is negative for a move in the
+
+105
+00:06:36,800 --> 00:06:39,380
+direction of the current اذا انت ماشي من اتجاه
+
+106
+00:06:39,380 --> 00:06:43,240
+الطيار بتكون ناشي من العالي لو واطي بيكون الفرخ
+
+107
+00:06:43,240 --> 00:06:51,410
+سالب تمام؟ هيك هذا موجبانا هيك ماشي موجب اعكس ايش
+
+108
+00:06:51,410 --> 00:06:57,410
+بيكون سالب صري انا عملت العكس هيك سالب وهيك موجب
+
+109
+00:06:57,410 --> 00:07:01,150
+مع التياب بيكون سالب وهيك بيكون موجب طبعا وانا
+
+110
+00:07:01,150 --> 00:07:03,730
+ماشي هيك بكون ماشي من العلي للواطي شباب فالفرق
+
+111
+00:07:03,730 --> 00:07:06,830
+سالب لما بكون ماشي من واطي لعلي بيكون الفرق موجب
+
+112
+00:07:07,040 --> 00:07:09,920
+اذا انا طبعا كيف بدي امشي هيك ولا هيك اقدم نعرف
+
+113
+00:07:09,920 --> 00:07:13,000
+لان انا بدي ابدأ من النقطة و ارجع نفس النقطة هيك
+
+114
+00:07:13,000 --> 00:07:15,580
+بدي ابدأ من النقطة و ارجع نفس النقطة في عندي خرينة
+
+115
+00:07:15,580 --> 00:07:18,820
+لا بمشي هيك ولا بمشي هيك وبالتالي كيف بمشي انا انا
+
+116
+00:07:18,820 --> 00:07:23,370
+هحدده و انا بحلف المسائل تمامThe change in
+
+117
+00:07:23,370 --> 00:07:27,290
+potential through any resistor is negative for a
+
+118
+00:07:27,290 --> 00:07:30,850
+move in the direction of the current and positive
+
+119
+00:07:30,850 --> 00:07:33,330
+for a move opposite to the direction of the
+
+120
+00:07:33,330 --> 00:07:36,950
+current.هذه واضحة، مظبوطة ولا شبال؟ واضحة، وانا
+
+121
+00:07:36,950 --> 00:07:40,210
+ماشي مع التيار، إذا التيار معايا، بحط الفرق سالب،
+
+122
+00:07:40,210 --> 00:07:44,010
+إذا التيار عكسي، بحط الفرق موجب، و الفرق من قانون
+
+123
+00:07:44,010 --> 00:07:47,610
+Ohm I في R، لأنه انا بدي فرق جهد، ففرق الجهد حسب
+
+124
+00:07:47,610 --> 00:07:52,380
+قانون Ohm بسوي I في Rالبطارية موجبها وسالبها
+
+125
+00:07:52,380 --> 00:07:55,480
+معروفين ولا مش معروفين؟ معروفين بالتالي إذا أنا
+
+126
+00:07:55,480 --> 00:07:58,220
+ماشي من السالب للموجب الفرخ موجب إذا ماشي من
+
+127
+00:07:58,220 --> 00:08:01,860
+الموجب لسالب الفرخ سالب وبقنعها شباب بالقوة
+
+128
+00:08:01,860 --> 00:08:06,320
+الدافعة الكهربية القوة الدافعة الكهربية ليه سميتها
+
+129
+00:08:06,320 --> 00:08:09,960
+أنا قوة دافعة كهربية؟ عشان ترفع الشحنات من وين
+
+130
+00:08:09,960 --> 00:08:12,920
+لوين؟ من الواطن للعالي إذا بينقل في اتجاه دي اما
+
+131
+00:08:12,920 --> 00:08:15,240
+بيكون من السالب للموجب
+
+132
+00:08:17,560 --> 00:08:21,420
+هذه اتجاهها هجيت بقول the change in potential
+
+133
+00:08:21,420 --> 00:08:25,100
+through an ideal battery طبعا كلمة ideal يعني
+
+134
+00:08:25,100 --> 00:08:29,720
+مالاش مقاومة داخلية is positive for a move from
+
+135
+00:08:29,720 --> 00:08:31,640
+the negative to the positive terminal of the
+
+136
+00:08:31,640 --> 00:08:34,600
+battery and negative for a move in the opposite
+
+137
+00:08:34,600 --> 00:08:41,230
+direction يعني هيك بيكون موجب و أنا عاكسبكون سالب
+
+138
+00:08:41,230 --> 00:08:45,850
+إذا نفيه إما plus epsilon أو minus epsilon إذا أنا
+
+139
+00:08:45,850 --> 00:08:50,010
+ماشي هيك بيكون plus epsilon امشي بالعكس بيكون
+
+140
+00:08:50,010 --> 00:08:53,590
+minus epsilon إذا أنا ماشي مع epsilon بيكون الفرق
+
+141
+00:08:53,590 --> 00:08:57,510
+موجب إذا أنا ماشي عكس epsilon بكون الفرق سالب
+
+142
+00:08:57,510 --> 00:09:00,460
+واضحين يا شباب؟هذه القاعدتين اللي بدي اشتغل معهم
+
+143
+00:09:00,460 --> 00:09:03,780
+وانا جاعد بجاعد بجمع فرق جهود لان انا بجمع فرق
+
+144
+00:09:03,780 --> 00:09:06,560
+جهود وفرق الجهود ممكن يكون موجب وممكن يكون سالب كم
+
+145
+00:09:06,560 --> 00:09:09,560
+يبقى ضعفه حسب القاعدة انها دول وانا ماشي الطيار
+
+146
+00:09:09,560 --> 00:09:12,480
+معايا بيكون سالب فرق الجهود تبع المقاومة إذا
+
+147
+00:09:12,480 --> 00:09:18,260
+الطيار عكسي بيكون موجب البطارية إذا معايا إبسلون
+
+148
+00:09:18,260 --> 00:09:22,320
+تبح معايا بيكون موجب إذا إبسلون معايا معايا عكسي
+
+149
+00:09:22,320 --> 00:09:26,220
+بيكون سالب هذه القاعدتين اللي بدي أمشي عليهم تمام
+
+150
+00:09:28,210 --> 00:09:32,650
+كيرشيفز رول قال مشكلته انه انا بدي معادلات بعدد
+
+151
+00:09:32,650 --> 00:09:35,850
+عدد المجاهي الشباب يعني انا في الآخر انا ايش بدي
+
+152
+00:09:35,850 --> 00:09:38,750
+من الدائرة بيقولي اودي دي التيارات او اودي دي ال
+
+153
+00:09:38,750 --> 00:09:42,910
+power يعني في الآخر في الآخر بدي اشوف كل مقامة كان
+
+154
+00:09:42,910 --> 00:09:47,740
+فيار دخلهاأكم انبير دخلها طيب هذه التجارة مجهولة
+
+155
+00:09:47,740 --> 00:09:50,500
+عشان احلها بدي معادلات عندي تلت مجهولة كان معادلة
+
+156
+00:09:50,500 --> 00:09:54,840
+بالزمن تلت اذا انا مشكلتي اني بدي معادلات جبرية
+
+157
+00:09:54,840 --> 00:09:57,720
+كيف اجيبها قاللي قاعدة take kershaw بيجيبولك
+
+158
+00:09:57,720 --> 00:10:01,140
+المعادلات كيف احل بقول strategy for solving a
+
+159
+00:10:01,140 --> 00:10:05,080
+problem using kershaw's rule اول حاجة طبعا هذه
+
+160
+00:10:05,080 --> 00:10:08,280
+دايما بتكون معطية لكم لان الرسم انا برسمهابقول
+
+161
+00:10:08,280 --> 00:10:11,180
+اضغط على circuit diagram ارسم ال circuit و ال
+
+162
+00:10:11,180 --> 00:10:14,200
+circuit في كل الأسئلة بتكون مرسومة and label all
+
+163
+00:10:14,200 --> 00:10:17,660
+quantities known and unknown و كل ال quantities ال
+
+164
+00:10:17,660 --> 00:10:22,080
+I's و ال R's و ال Y's ادّوها رموز يبسون واحد يبسون
+
+165
+00:10:22,080 --> 00:10:25,680
+اتنين يبسون تلاتة I واحد I اتنين I تلاتة R واحد R
+
+166
+00:10:25,680 --> 00:10:29,820
+اتنين R تلاتة ادّي رموز على هذه الأساس تمام خلصت و
+
+167
+00:10:29,820 --> 00:10:32,240
+غالبا برضه هذه الشيء اللي بتحطيلك يعني بقولك R
+
+168
+00:10:32,240 --> 00:10:34,440
+واحد بيسوي كذا R اتنين بيسوي كذا يبسون واحد بيسوي
+
+169
+00:10:34,440 --> 00:10:39,260
+كذا لكن اللي مش موجودة اديها رموز انت من عندكحاجتش
+
+170
+00:10:39,260 --> 00:10:42,940
+بيقولي assign a direction for the current in each
+
+171
+00:10:42,940 --> 00:10:46,920
+part of the circuit بيبقى تحدد اتجاهات للتيارات
+
+172
+00:10:46,920 --> 00:10:50,440
+تمام؟ بيحط اتجاهات لها كيف تحطها؟ بيقولي don't
+
+173
+00:10:50,440 --> 00:10:54,200
+bother if your guess of current direction is
+
+174
+00:10:54,200 --> 00:10:57,300
+incorrect the result will have a negative value
+
+175
+00:10:57,300 --> 00:11:00,640
+بيقولي لما انت تعمل guessing تخمين ماتخليش مخاكش
+
+176
+00:11:00,640 --> 00:11:05,030
+طليعني ماتخليش ولا نص جيجا مخاكش كيف ال direction
+
+177
+00:11:05,030 --> 00:11:08,470
+تحطه خلّي جانا مكرساصر يحط ال direction مكرساصر
+
+178
+00:11:08,470 --> 00:11:09,990
+يحط ال direction مكرساصر يحط ال direction مكرساصر
+
+179
+00:11:09,990 --> 00:11:10,110
+يحط ال direction مكرساصر يحط ال direction مكرساصر
+
+180
+00:11:10,110 --> 00:11:10,810
+يحط ال direction مكرساصر يحط ال direction مكرساصر
+
+181
+00:11:10,810 --> 00:11:11,150
+يحط ال direction مكرساصر يحط ال direction مكرساصر
+
+182
+00:11:11,150 --> 00:11:11,530
+يحط ال direction مكرساصر يحط ال direction مكرساصر
+
+183
+00:11:11,530 --> 00:11:14,030
+يحط ال direction مكرساصر يحط ال direction مكرساصر
+
+184
+00:11:14,030 --> 00:11:20,030
+يحط ال direction مكرساصر يحط ال direction مكرساصر
+
+185
+00:11:20,030 --> 00:11:23,550
+يحط ال direction مكرساصر يحط ال direction مكر
+
+186
+00:11:31,300 --> 00:11:35,480
+تمام بعد كده ايش بيقول لك الان خلاص انت جاهز تطبق
+
+187
+00:11:35,480 --> 00:11:39,420
+قواعد كيرتشوف apply the first Kirchhoff's rule to
+
+188
+00:11:39,420 --> 00:11:42,260
+any junction in the circuit ال junctions بيبين و
+
+189
+00:11:42,260 --> 00:11:45,830
+قد ما يشوفوا ممكن في ال junctionsبقولي تطبق
+
+190
+00:11:45,830 --> 00:11:49,010
+المعادلة تشوف الداخل عليها و الخارج تشوفها بيقول
+
+191
+00:11:49,010 --> 00:11:53,530
+in general this rule is used one time if you are
+
+192
+00:11:53,530 --> 00:11:56,190
+than the number of junctions in the circuit بيقول
+
+193
+00:11:56,190 --> 00:11:59,010
+لو عندك خمسة junctions هذه أكتر من أربع مرات بتفرج
+
+194
+00:11:59,010 --> 00:12:01,830
+تستخدمها لو كان عندك تلاتة junctions أكتر مرة
+
+195
+00:12:01,830 --> 00:12:04,990
+بتستخدمها ماتنتين يعني مرة أقل من عدد ال junctions
+
+196
+00:12:04,990 --> 00:12:07,890
+ليش؟ بيقول المرة اللي وراها هتديك نفس المعادلة و
+
+197
+00:12:07,890 --> 00:12:10,790
+أنت في النهاية بدك معادلات يعني لو عندك two
+
+198
+00:12:10,790 --> 00:12:15,080
+junctions أكتر مرة بديك تطبقها؟ مرةلو بدي اطبخ
+
+199
+00:12:15,080 --> 00:12:18,060
+التانية اقوله اطبخ هتطلع نفس المعادلة وانت بدي
+
+200
+00:12:18,060 --> 00:12:20,480
+اتعيد معادلات ولا بدي في الآخر معادلات هتحل
+
+201
+00:12:20,480 --> 00:12:24,020
+المجاهد؟ ممكنش اتعيد معادلات نفس المعادلات تمام
+
+202
+00:12:24,020 --> 00:12:28,020
+الان عشان انا اطبخ القاعدة التانية اللي كيرشوف ايش
+
+203
+00:12:28,020 --> 00:12:32,500
+بده بقول choose any closed loop in the network ال
+
+204
+00:12:32,500 --> 00:12:34,900
+circuit او ال network الشبكة ممكن يكون فيها اكتر
+
+205
+00:12:34,900 --> 00:12:38,730
+من loop شبابانت ممكن تختار واحدة من هال loops اي
+
+206
+00:12:38,730 --> 00:12:42,930
+دائرة مسكرة او loop مسكرة هذه تتعظم اللوب يتطبق
+
+207
+00:12:42,930 --> 00:12:46,670
+عليها قاعدة كيرشوف طيب and designate a direction
+
+208
+00:12:46,670 --> 00:12:50,670
+clockwise or counter clockwise to traverse the
+
+209
+00:12:50,670 --> 00:12:54,090
+loop انت بفي تلف انت بتقول نقطة فبدي ارجع للنقطة
+
+210
+00:12:54,090 --> 00:12:57,830
+طب كيف بدي ارجع للنقطة؟ بدي تمشي مشوار تمشي هيك و
+
+211
+00:12:57,830 --> 00:13:01,490
+لا تمشي هيك انت حر بس انت قولي كيف انت ماشييعني لا
+
+212
+00:13:01,490 --> 00:13:05,070
+تمشي clockwise لا تمشي counter clockwise عشان وانت
+
+213
+00:13:05,070 --> 00:13:08,730
+ماشي ساعتها تجيب ال positive و ال negative فانت
+
+214
+00:13:08,730 --> 00:13:12,310
+بيبقى تقولي كيف انت تمشي على ال loop بحيث تبدأ من
+
+215
+00:13:12,310 --> 00:13:15,570
+النقطة و ترجع لنفس النقطة و في عندك خيارين لا
+
+216
+00:13:15,570 --> 00:13:20,590
+clockwise لا counter clockwise مافيش خيار تالت و
+
+217
+00:13:20,590 --> 00:13:23,410
+لما تقلب من clockwise و counter clockwise ايش اللي
+
+218
+00:13:23,410 --> 00:13:27,400
+بيفرق شباب؟ و كأنك دربت المعادلة في سالبيعني واحد
+
+219
+00:13:27,400 --> 00:13:29,720
+شغال clockwise و واحد يزميل و يقول انا بدي counter
+
+220
+00:13:29,720 --> 00:13:33,340
+clockwise ايش بيفرجوا على بعض؟ و ليش؟ وكأنك جربت
+
+221
+00:13:33,340 --> 00:13:36,020
+المعادلة بسالب و المعادلة اللي بتعمل معادلة بسالب
+
+222
+00:13:36,020 --> 00:13:40,000
+بيفرجش عندك؟ لأ بقى نفس القضية تمام حاجات ايش
+
+223
+00:13:40,000 --> 00:13:44,240
+بقولك؟ starting from one point in the loop go
+
+224
+00:13:44,240 --> 00:13:47,500
+around the loop in the designated direction sum
+
+225
+00:13:47,500 --> 00:13:50,000
+the potential differences across all the elements
+
+226
+00:13:50,000 --> 00:13:53,200
+of the chosen loop to zero ونبدأ من النقطة ومشي
+
+227
+00:13:53,690 --> 00:13:56,910
+طبعا انت ماشي هتجيب ال elements الشيء ال elements
+
+228
+00:13:56,910 --> 00:14:01,490
+بطاريات مقاومات ممكن يكون مكاففات ممكن يكون ملفات
+
+229
+00:14:01,490 --> 00:14:06,350
+وانت ماشي كل أنصر بتمر عليه يجيب فرق جهده ويحطه
+
+230
+00:14:06,350 --> 00:14:08,970
+الانصر اللي وراه يجيب فرق جهده يحطه ولكن جوله
+
+231
+00:14:08,970 --> 00:14:12,270
+بيساوي زيرو حيث انك بتحط فرق الجهد ممكن يكون
+
+232
+00:14:12,270 --> 00:14:14,330
+positive وممكن يكون negative وبالتالي بيكتشف
+
+233
+00:14:14,330 --> 00:14:17,450
+استخدام القاعدة اللي حاكلها ان ال positive او ال
+
+234
+00:14:17,450 --> 00:14:22,910
+negative بدك تاخدها في عين الاعتبارفي فعل هذا يجب
+
+235
+00:14:22,910 --> 00:14:26,330
+أن تلاحظ الاسئلة المقاومة التي قد تحدثت قبلها اللي
+
+236
+00:14:26,330 --> 00:14:29,810
+هو المقاومة إذا ماشي مع التيار فرق جهدها إيش
+
+237
+00:14:29,810 --> 00:14:34,630
+بيكون؟ سالب إذا ماشي ضد الطيار فرق جهدها موجة
+
+238
+00:14:34,630 --> 00:14:39,170
+البطارية إذا ماشي مع الإنف ففرق جهدها إيش بيكون؟
+
+239
+00:14:40,280 --> 00:14:43,880
+موجب وإذا كنت ماشي ضد ال إمث سالب هيقول توري مارف
+
+240
+00:14:43,880 --> 00:14:49,260
+وهي بعيدها the potential difference across an emf
+
+241
+00:14:49,260 --> 00:14:54,880
+يعني بطارية is positive epsilon if it traversed
+
+242
+00:14:54,880 --> 00:14:57,540
+from the negative to the positive terminalمظبوط
+
+243
+00:14:57,540 --> 00:15:01,700
+and minus epsilon if it traverse in opposite .. in
+
+244
+00:15:01,700 --> 00:15:04,740
+the opposite direction طب المقاومة the potential
+
+245
+00:15:04,740 --> 00:15:08,400
+difference across any resistor is minus I في الار
+
+246
+00:15:08,400 --> 00:15:12,060
+if the resistor is traverse in the direction of
+
+247
+00:15:12,060 --> 00:15:15,740
+the assumed current and plus I في الار if it
+
+248
+00:15:15,740 --> 00:15:19,720
+traverse in the opposite direction يا عجبثم بعدين
+
+249
+00:15:19,720 --> 00:15:22,940
+بيقولي اخدت انت loop هاي صحيح عندك معادلة تانية
+
+250
+00:15:22,940 --> 00:15:25,880
+عندك تلت مجهيل بيدك كمه ال loop عشان بيدك كمه تلت
+
+251
+00:15:25,880 --> 00:15:30,460
+معادلة بيقولي choose another loop and repeat the
+
+252
+00:15:30,460 --> 00:15:35,840
+fifth step to get a different equation relating
+
+253
+00:15:35,840 --> 00:15:38,180
+the unknown quantities continue until you have as
+
+254
+00:15:38,180 --> 00:15:41,860
+many equations as unknowns عندك خمس مجهيل بيدك خمس
+
+255
+00:15:41,860 --> 00:15:44,940
+معادلات عندك ست مجهيل بيدك ست معادلاتبتشتغل على
+
+256
+00:15:44,940 --> 00:15:47,540
+هذا الأساس طبعا غالبا بيكونوش خمسة أو ستة يعني،
+
+257
+00:15:47,540 --> 00:15:51,480
+غالبا تلاتة بيكونوا So if these equations
+
+258
+00:15:51,480 --> 00:15:53,440
+symmetrically correspond to four values حلو خلاص
+
+259
+00:15:53,440 --> 00:15:56,120
+تكونوا عن تحت المسألة طبعا احنا اللي بيهمنا
+
+260
+00:15:56,120 --> 00:15:59,640
+المعادلات بيهمناش الحل الجابري بيهمنا المعادلات
+
+261
+00:15:59,640 --> 00:16:02,840
+وإذا بتحلوا في الكتاب هتشوفوا إنه لو السؤال بدو
+
+262
+00:16:02,840 --> 00:16:07,740
+عشر دقايق طول مدية حل بيكون دقيقتين بس عشان تحط
+
+263
+00:16:07,740 --> 00:16:11,520
+المعادلات و تمام دقايق بس تحلي الجبرتمام؟ احنا مش
+
+264
+00:16:11,520 --> 00:16:14,320
+جبر .. مش لما حصلت جبر وبالتالي انا في الامتحان
+
+265
+00:16:14,320 --> 00:16:18,500
+ببعت .. ببعت عليه 2.9 علامات و ببعت على 8 دقايق
+
+266
+00:16:18,500 --> 00:16:21,520
+علامة واحدة يعني حط التبات معادلة صح بتاخد 9 من 10
+
+267
+00:16:21,520 --> 00:16:26,760
+و حل تاخد علامة في الآخر ماتفرجش معايا حل الجبر هو
+
+268
+00:16:26,760 --> 00:16:30,680
+بياخد المدة طويلة لإنه بيصي فيه مشكلة تمام؟ نبدأ
+
+269
+00:16:30,680 --> 00:16:35,700
+الحل نشوف أول سؤال سؤال سهل جدا بيقول لي in the
+
+270
+00:16:35,700 --> 00:16:39,200
+circuit shownFind the current in the circuit and
+
+271
+00:16:39,200 --> 00:16:42,160
+the power delivered to each resistor and the power
+
+272
+00:16:42,160 --> 00:16:45,740
+delivered by the 12 volt battery بيقول لي في
+
+273
+00:16:45,740 --> 00:16:50,080
+التيار اوجد التيار و اوجد الفور على كل المقاومة
+
+274
+00:16:50,080 --> 00:16:54,380
+هذه سهلة اتيت بس مجلة عشان نتدرب حالنا كيف نطبق
+
+275
+00:16:54,380 --> 00:16:57,400
+القاعدة التانية اللي كده تشوف في هذه ايه ايه ايه
+
+276
+00:16:57,400 --> 00:17:02,760
+ايه ايه ايه ايهكم junctions فيه؟ ولا junctions
+
+277
+00:17:02,760 --> 00:17:06,420
+الطيارة وين بنقسم؟ فيه بنقسم عندنا؟ وين بتفرع؟
+
+278
+00:17:06,420 --> 00:17:09,700
+بتفرعش، لإن مافيش junctions عشان كده أنا بدى
+
+279
+00:17:09,700 --> 00:17:11,740
+أستخدم مثلا القعادة التانية لكرشه، في الأولى ماهاش
+
+280
+00:17:11,740 --> 00:17:15,320
+لازمة، مافيش junctions ربّق عليها إيش بدهوا؟ بدهوا
+
+281
+00:17:15,320 --> 00:17:18,740
+الطيارة الوحيد قيمته I، بدهوش، بعدين بدهوا ال
+
+282
+00:17:18,740 --> 00:17:21,920
+power، ماعرفت I، بقدر أجيب ال power ولا لأ، مش أي
+
+283
+00:17:21,920 --> 00:17:25,200
+تربيع في الارطيب بيدّو كمان الفوار تبعت ال 12 volt
+
+284
+00:17:25,200 --> 00:17:28,700
+ماهي I فى V والطيار معروف يعنى لو أجيبت I بدون
+
+285
+00:17:28,700 --> 00:17:32,460
+مفاطنعش بتطلع الفوار تبعت ال 12 volt تمام .. خلينا
+
+286
+00:17:32,460 --> 00:17:32,740
+نجرب
+
+287
+00:17:37,370 --> 00:17:39,950
+Solution بيقولي the direction of the currents are
+
+288
+00:17:39,950 --> 00:17:42,630
+assigned arbitrarily بيقولي ال direction اللي انا
+
+289
+00:17:42,630 --> 00:17:46,790
+حاطه .. انا حاطه جلم الرصاص حاطه هيك مافكرتش فيه
+
+290
+00:17:46,790 --> 00:17:48,890
+كيف طبعا واحد بيطلع و بيقولك هذه المفروض يكون
+
+291
+00:17:48,890 --> 00:17:52,650
+معاكوس لإن هو ال 12 بتغلب ال 6 صح ولا لأ طبعا هذه
+
+292
+00:17:52,650 --> 00:17:55,670
+دائرة سهلة ان ممكن تعمل interesting سهل لكن في بعض
+
+293
+00:17:55,670 --> 00:17:59,330
+الدوار اللي ممكن تعمل بسهولة بتالي هو يعلنك من هال
+
+294
+00:17:59,330 --> 00:18:05,520
+gate حط ال direction غلطأي من الكاتب حطها يمين
+
+295
+00:18:05,520 --> 00:18:08,240
+الطيارة و خلاص رايح حاله كيف الطيارة بيكون مالو
+
+296
+00:18:08,240 --> 00:18:10,980
+إيش دعوة هو في الآخر هيطلع صالب و هيطلع صالب ماليش
+
+297
+00:18:10,980 --> 00:18:14,500
+دعوة فيه تمام the direction of the currents are
+
+298
+00:18:14,500 --> 00:18:17,580
+assigned arbitrary سرعة عشوائية من دون مفاكر جالك
+
+299
+00:18:17,580 --> 00:18:21,280
+تمام as shown in the figure as it is clear from
+
+300
+00:18:21,280 --> 00:18:23,680
+the circuit there is one loop with no junctions
+
+301
+00:18:32,010 --> 00:18:36,710
+عشان واحد الاجابات بس عشان كده نعطيها و نروحها
+
+302
+00:18:36,710 --> 00:18:41,670
+تمام now we apply cashers second rule ال first
+
+303
+00:18:41,670 --> 00:18:46,390
+rule بدي اطبقها في ال junction تمام to the loop
+
+304
+00:18:46,390 --> 00:18:48,470
+and you traverse the loop in the clockwise
+
+305
+00:18:48,470 --> 00:18:51,490
+direction شباب بدي امشي مع قريب الساعة يعني هيك
+
+306
+00:18:51,490 --> 00:18:54,940
+بدي امشيهذه العلامة بتحطوها عشان اعرف انا اتبعكم و
+
+307
+00:18:54,940 --> 00:18:57,580
+انتوا ماشيين و تقولولي ايه انا رايحين ماء اقارب
+
+308
+00:18:57,580 --> 00:19:00,680
+الساعة ولا جدع اقارب الساعة تمام، من اين بدي ابدأ؟
+
+309
+00:19:00,680 --> 00:19:03,660
+بدي ابدأ من هذه النقطة السفرة، شايفينها؟ بدي امشي
+
+310
+00:19:03,660 --> 00:19:06,460
+ماء اقارب الساعة، هاجيت بدي اروح وين؟ انزل تحت ولا
+
+311
+00:19:06,460 --> 00:19:11,520
+اروح يمين؟ بدي اروح يمين، صح او لا؟ وانتوا ماشي
+
+312
+00:19:11,520 --> 00:19:16,500
+واحدة واحدة، شباب، هاه؟ هاجيت ايش معايا؟ الـ6
+
+313
+00:19:16,500 --> 00:19:21,220
+معايا ولا برضيه؟ موجب ولا سالب؟ موجبإذن هي أول
+
+314
+00:19:21,220 --> 00:19:29,180
+واحدة جابالكي بحط على طول epsilon one بالموجب طبعا
+
+315
+00:19:29,180 --> 00:19:32,700
+و انا وصلت وصلت هناك إيش بعد كده بدي أصير؟ بدي
+
+316
+00:19:32,700 --> 00:19:37,220
+أنزل صح ولا لأ؟ لما بدي أنزل هال gate إيه بدي يصير
+
+317
+00:19:37,220 --> 00:19:44,680
+معايا؟ طيار و أنا ماشي مع بعض سالب تمانية ا او
+
+318
+00:19:44,680 --> 00:19:50,160
+سالب خلينا نقول i ثمان واحد و لا لأ؟ بعدين بعوض؟
+
+319
+00:19:51,690 --> 00:19:55,230
+كمان؟ شوفتوا كيف يوحي بيكون الشغل معاه ولا ضده؟ هو
+
+320
+00:19:55,230 --> 00:19:58,010
+اللي حد بيقول هو بده روح اصلا انا محدد ان واحد
+
+321
+00:19:58,010 --> 00:20:02,270
+اكله كويس اذا صار اتجاهي معروف و الطيار معروف فانا
+
+322
+00:20:02,270 --> 00:20:05,350
+أشوف الطيار معاه وانا ضده هيوا معايا حطوا تسابق
+
+323
+00:20:05,350 --> 00:20:09,310
+طيب الان انا وصلت تحت بده اروح حد في يسار لما بده
+
+324
+00:20:09,310 --> 00:20:17,710
+اروح يسار بيكسك تحتك ولا لأ ناقص
+
+325
+00:20:17,710 --> 00:20:28,940
+ي اتنين ناقص ي اتنينحلو ماوصلتش النقطة لسه ناقصة I
+
+326
+00:20:28,940 --> 00:20:33,240
+في R2 مظبوط ولا لأ بيساوي سفر أنا وصلت في الآخر
+
+327
+00:20:33,240 --> 00:20:37,980
+وصلت لفوق اذا ببدأ من النقطة بمشي و انا طول ما انا
+
+328
+00:20:37,980 --> 00:20:39,440
+ماشي بشوف ايش بجهة بحكي
+
+329
+00:20:42,190 --> 00:20:46,570
+بتطلع نفسه ولا كانت؟ نفس المعادلة بس هذي بصير سالق
+
+330
+00:20:46,570 --> 00:20:50,550
+و هذي بصير مودة و هذي مودة و هذي مودة .. في الأخر
+
+331
+00:20:50,550 --> 00:20:54,590
+المعادلة بتفرق و كانت جالس المعادلة في إيش؟ سوريا
+
+332
+00:20:54,590 --> 00:20:58,190
+.. و بيعملوا قوى يعني المعادلة اللي أبنها بتسلب
+
+333
+00:20:58,190 --> 00:21:02,510
+واحد .. المعادلة اللي أبنها بتسلب واحد .. المعادلة
+
+334
+00:21:02,510 --> 00:21:02,950
+واحد .. المعادلة اللي أبنها بتسلب واحد ..لو قلت
+
+335
+00:21:02,950 --> 00:21:07,370
+عادل انا اسف عادل اذا مشي تقلق كويس او كوانتر تقلق
+
+336
+00:21:07,370 --> 00:21:10,350
+كويس تفرجش في الإيجابات عشان كده جالك امشي كيف ما
+
+337
+00:21:10,350 --> 00:21:13,290
+بدك هو جالك امشي كيف ما بدك هو عارف حاله لان ليش
+
+338
+00:21:13,290 --> 00:21:18,170
+يا شباب هو بيقولي هو va نقص va هجيتي هو اصلا بيه
+
+339
+00:21:18,170 --> 00:21:21,170
+final نقص v initial لما يقولي هيك انت بتقدر من ال
+
+340
+00:21:21,170 --> 00:21:23,830
+initial تبقى ال final صح ولا لا؟ لكن لما يقول a و
+
+341
+00:21:23,830 --> 00:21:27,350
+a طب ان هي initial و هي final تفرجش هذي initial و
+
+342
+00:21:27,350 --> 00:21:29,910
+بعدين اروح هنا ولا هذين تفرجش فبالتالي وما تروح و
+
+343
+00:21:29,910 --> 00:21:31,550
+تروح غير لما يقولك initial و final
+
+344
+00:21:39,540 --> 00:21:42,820
+تفرج .. هتفرج لأنه بتكون واضح من وين لو وين عادة
+
+345
+00:21:42,820 --> 00:21:47,280
+ما نحكي عنها تمام شباب .. عوض .. عوض .. طبعا هذا
+
+346
+00:21:47,280 --> 00:21:52,060
+كان معادلة .. معادلة واحدة ومجهولة وحيد .. سهلة ..
+
+347
+00:21:52,060 --> 00:21:55,180
+طلع I .. اه دي سهلة .. طلع السالب انا مش طلع
+
+348
+00:21:55,180 --> 00:21:57,820
+السالب .. طلع السالب انا .. ال direction لو دققنا
+
+349
+00:21:57,820 --> 00:22:00,840
+هو عارف انه معاكوس بالعمدة من الأول .. بقولك انا
+
+350
+00:22:00,840 --> 00:22:02,700
+ماتفرجش في احنا ال direction انا طلع السالب ..
+
+351
+00:22:02,700 --> 00:22:05,220
+يعني معاكوس .. مش مشكلة .. انا دي بقولك اه دي دي
+
+352
+00:22:05,220 --> 00:22:09,040
+ال power .. لو دي طلعت شباب من الدربل 12 في هذه ..
+
+353
+00:22:10,730 --> 00:22:16,090
+البورة تبعت هذه 12 في 0.3 و12 في 3 حوالي 3.9 حوالي
+
+354
+00:22:16,090 --> 00:22:21,070
+4 أربع واط .. أربع واط .. أربع واط .. حلو الأربع
+
+355
+00:22:21,070 --> 00:22:23,490
+واط مين بتروحوا؟ المفروض هذا ياخد جزء و هذا ياخد
+
+356
+00:22:23,490 --> 00:22:28,190
+جزء و هذا ياخد جزء صح ولا لا؟ هذه بصي العملية
+
+357
+00:22:28,190 --> 00:22:34,190
+الشحن لها تنشحنو هدول .. هدول دفايات بيطلعوا حرارة
+
+358
+00:22:34,190 --> 00:22:37,750
+.. هدول دفايات بيطلعوا حرارة .. أما هذه .. هذه
+
+359
+00:22:37,750 --> 00:22:39,930
+بطارية .. ماعندي دفايات أو لبضة أو اللي بتكون إيه
+
+360
+00:22:39,930 --> 00:22:42,210
+.. المهم هي تاخد طاقة في الآخر .. بس خليها دفايات
+
+361
+00:22:42,210 --> 00:22:45,630
+عشان أكتر حاجة محسوسة أنه بتتدفع يعني .. بتلاقي
+
+362
+00:22:45,630 --> 00:22:49,550
+أنه في حرارة .. في النهاية الطاقة مش حرارة بس ..
+
+363
+00:22:49,550 --> 00:22:54,910
+مهد طاقة .. إنارة طاقة .. حركة .. هوية .. هي برضه
+
+364
+00:22:54,910 --> 00:22:58,800
+طاقة .. حركة ..هذا يعني أنك تريد طاقة في هذا
+
+365
+00:22:58,800 --> 00:23:01,220
+البرامج لو جيت حسبت البرامج تبعا هنا بقول هذا
+
+366
+00:23:01,220 --> 00:23:04,520
+minus sign in the case that the direction of I is
+
+367
+00:23:04,520 --> 00:23:08,500
+opposite the osium direction تمام جاليه حسب
+
+368
+00:23:08,500 --> 00:23:13,460
+البرامج طلعت P1 تبعت المقاومة الأولى وP2 اجمعهم
+
+369
+00:23:13,460 --> 00:23:18,070
+طلع حوال اتنين صح؟التنتين عادوا يدفعوا التين و لا
+
+370
+00:23:18,070 --> 00:23:21,590
+الهويتين و لا اللي بتقياهم طلع اتنين وات جاي
+
+371
+00:23:21,590 --> 00:23:24,830
+فبتشوف ال epsilon اتنين طلعت اربع وات طب اذا وين
+
+372
+00:23:24,830 --> 00:23:27,690
+الباقي جاي ماخدتها المقاومة دى البطارية التانية ان
+
+373
+00:23:27,690 --> 00:23:30,690
+شحنت فيها التانية ياخد الطاقة طبعا ما انتوا عارفين
+
+374
+00:23:30,690 --> 00:23:33,610
+مش كل حجار او مش كل البطاريات اللي بتشحن تبع
+
+375
+00:23:33,610 --> 00:23:37,210
+التركيبة الداخلية يعني خلنا نرجع للمدارس
+
+376
+00:23:40,050 --> 00:23:44,030
+بالظبط، واحدة تشحن التانية الحجر الجافي اللي كنا
+
+377
+00:23:44,030 --> 00:23:46,170
+نحكي عنه، وما أنتوا عارفينه، في عبارة عن التفاعلات
+
+378
+00:23:46,170 --> 00:23:50,030
+كيميائية، إذا أنا بقدر أرجع التفاعل كيميائي، بقدر
+
+379
+00:23:50,030 --> 00:23:53,810
+أشحنها، لكن مش كل التفاعل كيميائية reversible،
+
+380
+00:23:53,810 --> 00:23:56,450
+صحيح ولا لا؟ في طريق واحدة بس، ممكنش أرجع،
+
+381
+00:23:56,450 --> 00:23:59,030
+وبالتالي مش كل بطارية اللي بقدر أشحنها، في بطاريات
+
+382
+00:23:59,030 --> 00:24:01,090
+خلاص، برميها في الزبالة، زي حجر الراديو اللي
+
+383
+00:24:01,090 --> 00:24:05,280
+بنعرفهتمام هذه بس معلومة بهذا الشكل هو بيقول you
+
+384
+00:24:05,280 --> 00:24:08,060
+know that بيواحد زي اتنين بيساوي اتنين من واحد
+
+385
+00:24:08,060 --> 00:24:11,220
+وعشان بيقول you know that is half of the power
+
+386
+00:24:11,220 --> 00:24:14,400
+supplied by the 12 battery is delivered to the
+
+387
+00:24:14,400 --> 00:24:17,280
+resistors and the other half is delivered to the 6
+
+388
+00:24:17,280 --> 00:24:20,900
+volt battery نصها راح للمقاومات ونص التانية أخدته
+
+389
+00:24:20,900 --> 00:24:24,820
+البطاريات التانية هذه بس معلومة عشان نعرفها هاي
+
+390
+00:24:24,820 --> 00:24:30,090
+كمان سؤال هاي سؤال شوية منطقيفبالحين إذا كانت
+
+391
+00:24:30,090 --> 00:24:35,990
+البطارية ممكن تشحن الدائرة شوف إذا البطارية خربانة
+
+392
+00:24:35,990 --> 00:24:39,970
+مظبوط بتنفتح الدائرة بتبقى عندك دائرة open circuit
+
+393
+00:24:39,970 --> 00:24:43,130
+بتبقى في طيارة إذا خربانة بمعنى كلمة خربانة
+
+394
+00:24:43,130 --> 00:24:50,310
+بتحتنقل ما هو لا تشحنش بيصي مقاومة عالية جدا
+
+395
+00:24:50,310 --> 00:24:54,530
+مقاومتها زي عازي ممكن تكون عازي فبتنفتح الدائرة
+
+396
+00:24:55,220 --> 00:24:58,100
+فصيبك أنها مقاومة ضخمة ما هو إيش لما تخرج؟ بصيبك
+
+397
+00:24:58,100 --> 00:25:01,160
+قوامتها الداخلية كبيرة جدا فتبقى أكتر في أقنعك فرق
+
+398
+00:25:01,160 --> 00:25:05,640
+جوهر منطقي تمام in the circuit shown by the
+
+399
+00:25:05,640 --> 00:25:08,480
+current in each resistor تطلعش المطلوب التاني شباب
+
+400
+00:25:08,480 --> 00:25:16,160
+بدوا فرق جوهر Vb-Va Vb-Va لما يقولك Vb-Va وقال لك
+
+401
+00:25:16,160 --> 00:25:20,460
+V final-Vinitial هاي الـ Delta V أنا عادة لما أقول
+
+402
+00:25:20,460 --> 00:25:26,010
+final-initial هادي لاقيتهinitial ايش يعني initial؟
+
+403
+00:25:26,010 --> 00:25:31,550
+ببدأ منها تمام؟ قمت initial عشان بيجيها و هالي طب
+
+404
+00:25:31,550 --> 00:25:34,670
+عالم اللي هناك من أين بدي أبدأ؟ من a بدي أبدأ من
+
+405
+00:25:34,670 --> 00:25:39,190
+النقطة التانية شباب ببدأ من a و أروح ل b مفروض ليش
+
+406
+00:25:39,190 --> 00:25:43,590
+VA نقص VA و بدي أسوي 0؟ VA نقص VP خلّيني أبدأ
+
+407
+00:25:43,590 --> 00:25:48,030
+الحساب هذه التيارات شباب اللي عملناها انا اختارت
+
+408
+00:25:48,030 --> 00:25:52,870
+تلات تيارات عشوائية بقول لك designate currents in
+
+409
+00:26:03,480 --> 00:26:13,660
+هي تحكس اي واحد بس هي هي اتطلع
+
+410
+00:26:13,660 --> 00:26:20,280
+على التيارات هل اي اتنين انا فصلته لأ اي تلاتة هي
+
+411
+00:26:20,280 --> 00:26:21,200
+الانفصالات
+
+412
+00:26:24,070 --> 00:26:26,850
+إذا كانت الشغلعة عشوائية .. نرجع للعشوائية .. طبعا
+
+413
+00:26:26,850 --> 00:26:27,670
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+414
+00:26:27,670 --> 00:26:27,770
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+415
+00:26:27,770 --> 00:26:28,030
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+416
+00:26:28,030 --> 00:26:29,550
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+417
+00:26:29,550 --> 00:26:29,750
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+418
+00:26:29,750 --> 00:26:30,110
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+419
+00:26:30,110 --> 00:26:30,150
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+420
+00:26:30,150 --> 00:26:30,830
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+421
+00:26:30,830 --> 00:26:32,570
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+422
+00:26:32,570 --> 00:26:33,270
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+423
+00:26:33,270 --> 00:26:42,510
+اللي .. اللي .. اللي .. اللي .. اللي .. الل
+
+424
+00:26:49,550 --> 00:26:54,290
+A وB لأن بي واحدة بإيه الطيارة عندها بي جهان و
+
+425
+00:26:54,290 --> 00:27:01,730
+بيفصلش إذا برضه A وB زي بعض أكم loop فيه تلاتة
+
+426
+00:27:01,730 --> 00:27:05,970
+اللي فوق و اللي تحت و الكلية و الكلية loop مغلقة
+
+427
+00:27:05,970 --> 00:27:10,510
+صح ولا لأ إذا في عندي two junctions و بيدي three
+
+428
+00:27:10,510 --> 00:27:13,590
+loops لكن ال junctions عشان هم اتنين أكم مرة بقدر
+
+429
+00:27:13,590 --> 00:27:17,710
+استخدمهم واحدة مرة واحدة لإن احنا يقولنا دايما أقل
+
+430
+00:27:17,710 --> 00:27:21,700
+من العدد بواحدعادة نشوف ان المعادلة التانية هي هي
+
+431
+00:27:21,700 --> 00:27:27,280
+تمام solution to apply Kirchhoff's first rule to
+
+432
+00:27:27,280 --> 00:27:32,160
+the junction P we get طبعا ال junction P تشبهك مين
+
+433
+00:27:32,160 --> 00:27:38,360
+اللي ده هيعطينا معادلة؟ إيش الداخل لها؟ اللي داخل
+
+434
+00:27:38,360 --> 00:27:49,280
+I1 و I2، فح؟ إيش اللي خارج؟ I3واضح؟ حاكمة عمارة
+
+435
+00:27:49,280 --> 00:27:55,980
+هدول داخلين .. هدول داخلين واضحين و الخارج ده هو
+
+436
+00:27:55,980 --> 00:27:59,960
+بقيت بقول I1 plus I2 plus I3 فسؤالي الآن ال
+
+437
+00:27:59,960 --> 00:28:06,080
+junction ايه؟ مين يديني معادلة؟ ال junction ايه؟
+
+438
+00:28:06,080 --> 00:28:12,120
+I1 plus I3 ايش اللي داخلها؟ I3 I3 ايش الخارج؟ I1
+
+439
+00:28:16,690 --> 00:28:20,170
+وحدة نفس المعادلة عشان كده مرة تانية بيقولك
+
+440
+00:28:20,170 --> 00:28:22,970
+ماتغلبش حالك هتطلع بقعدك نفس المعادلة فخلاص
+
+441
+00:28:22,970 --> 00:28:26,710
+استخدمها مرة واحدة وخلاص واضح شباب؟ في حاجة مش
+
+442
+00:28:26,710 --> 00:28:31,650
+واضحة؟ مجرد الداخل صار خارج و الخارج صار داخل لما
+
+443
+00:28:31,650 --> 00:28:34,570
+غيرتي ال junction لكن المعادلة كمعادلة رياضية
+
+444
+00:28:34,570 --> 00:28:42,560
+ماتغيرتش طيب يللا الان خلصنا من firstطول طولة عندي
+
+445
+00:28:42,560 --> 00:28:50,460
+معادلة اوله كان مجهول في عندي اول معادلة بتلت
+
+446
+00:28:50,460 --> 00:28:56,760
+علامات هاي اول معادلة بتلت علامات حلو now apply
+
+447
+00:28:56,760 --> 00:29:01,220
+and cater second rule to the upper loop traversing
+
+448
+00:29:01,220 --> 00:29:06,820
+it clockwise بده مش برضه clockwise من اين بده ابدأ
+
+449
+00:29:06,820 --> 00:29:15,240
+منها يالا من هنا جنيأيش حاجة؟ سالب أربعة عشر لإن و
+
+450
+00:29:15,240 --> 00:29:21,180
+أنا ماشي هايحا معايا ولا بضّي بضّي إذا سالب أربعة
+
+451
+00:29:21,180 --> 00:29:27,420
+عشر زائد ده ستة اي واحد طب ليش و أنا نازم انا
+
+452
+00:29:27,420 --> 00:29:36,400
+تشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيشيش
+
+453
+00:29:42,390 --> 00:29:51,150
+أي ابنين بالبالكم انت استجربت اهو استجرب دلوقت اي
+
+454
+00:29:51,150 --> 00:29:56,750
+واحد اجربلي لأ تتبعوا النقطة اللي بدنا نركز فيها
+
+455
+00:29:56,750 --> 00:30:01,100
+دلوقت مواطن غلط كتير شباب بصير عند الطلابأنا طيار
+
+456
+00:30:01,100 --> 00:30:03,920
+دائما ببدأ عند junction و بدأ عند junction .. ببدأ
+
+457
+00:30:03,920 --> 00:30:06,940
+عند junction ..بالتالي اي واحد ببدأ عند A بخلص عند
+
+458
+00:30:06,940 --> 00:30:11,460
+B .. اي واحد ببدأ عند A بخلص عند B .. وبالتالي قبل
+
+459
+00:30:11,460 --> 00:30:16,360
+A او بعد B اي واحد ماني جالكهيجيب I2 بيبدأ عند E و
+
+460
+00:30:16,360 --> 00:30:20,460
+بيخلص عند B بس من فوق صح او لا؟ اذا هو بداته I2 من
+
+461
+00:30:20,460 --> 00:30:25,980
+هيك هذا هو وبالتالي هذا ايش طيارة هو I2 I3 بيبدأ
+
+462
+00:30:25,980 --> 00:30:29,480
+من B و بيخلص عند E هيك وبالتالي هذه طيارة I3 لو
+
+463
+00:30:29,480 --> 00:30:33,800
+هنا في مقابلة I طيارة بيكون برضه I3 واضح؟ اذا بديش
+
+464
+00:30:33,800 --> 00:30:41,240
+حربت بالطيارات اذا قلنا سالب 14 قلنا سالب 4 فبصير
+
+465
+00:30:41,240 --> 00:30:43,960
+سالب 14 زائد 6
+
+466
+00:31:15,100 --> 00:31:15,880
+10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10
+
+467
+00:31:15,880 --> 00:31:15,980
+-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10
+
+468
+00:31:15,980 --> 00:31:16,000
+-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10-10
+
+469
+00:31:16,000 --> 00:31:23,390
+-10-10سالب اتنين عي تلاتة ثم سفر هذه هي هذه عشرة
+
+470
+00:31:23,390 --> 00:31:26,570
+طيب
+
+471
+00:31:26,570 --> 00:31:35,010
+ماخلصتش معايا سالب ست عي واحد تمام سالب اتنين عي
+
+472
+00:31:35,010 --> 00:31:40,750
+تلاتة في مشكلة؟ العملية سهلة خمس هذي بتلت معايا
+
+473
+00:31:40,750 --> 00:31:41,030
+التلاتة
+
+474
+00:31:45,810 --> 00:31:47,870
+اللوبل كبيرة على شرطين ما هو اللوبل كبيرة اذا
+
+475
+00:31:47,870 --> 00:31:51,670
+بتحتاجها اكمل حاجة اللي انت مداد هي اللي جيتكوا
+
+476
+00:31:51,670 --> 00:31:56,190
+يعني في فلسطين اذا بس اي واحد من الطرق اي واحد من
+
+477
+00:31:56,190 --> 00:32:00,010
+الطرق بالظبط ابتدأ يالا نعملها ابتدأ اشتغلها
+
+478
+00:32:00,010 --> 00:32:07,230
+اللوبل كبيرة سالب اربعة عاش سالب اتنين سالب
+
+479
+00:32:07,230 --> 00:32:11,790
+اربعة اتنين حاجة هي اللوبل كبيرة بتخلص
+
+480
+00:32:13,700 --> 00:32:16,300
+أنا بدي ثلاث معادلة ثانية خلصت .. هاي ثلاث معادلة
+
+481
+00:32:16,300 --> 00:32:19,260
+بتزنني .. حاجات هادية رياضية أنا مابقدرش ا ..
+
+482
+00:32:19,260 --> 00:32:22,760
+يكفيني أحل المعادلة ولا لأ؟ بكفي .. هادي آية ثلاثة
+
+483
+00:32:22,760 --> 00:32:26,280
+شايفينها؟ يبقوها منها .. آية ثلاثة راح أحصل علي
+
+484
+00:32:26,280 --> 00:32:27,880
+واحد و آية اثنين .. و هنا واحد و آية اثنين .. بشر
+
+485
+00:32:27,880 --> 00:32:31,780
+عليها بطل عيجي بقى .. هاي تسع علامات .. مابديش
+
+486
+00:32:31,780 --> 00:32:37,100
+ليها العلامة .. عشان كده أنا طلعت اللاتي دي .. هو
+
+487
+00:32:37,100 --> 00:32:38,800
+ماني نسحط في شحتة .. مستغلب حلقة ..
+
+488
+00:32:41,700 --> 00:32:45,680
+لأ هو الطيارات اللي بدي .. اه طبعا لو بده .. لو
+
+489
+00:32:45,680 --> 00:32:48,000
+بده ال power غافل انا بدي اديهم .. بس هو شوفوا في
+
+490
+00:32:48,000 --> 00:32:51,220
+الامتحانات احنا مينفندش الطالب عشان علامة يضيع
+
+491
+00:32:51,220 --> 00:32:55,220
+وقته، احنا مش بنسويق عشان نريح حالنا، احد التيارات
+
+492
+00:32:55,220 --> 00:32:58,460
+التلاتة دي اللي بنعطيها لكم، احنا بنحل الامتحان و
+
+493
+00:32:58,460 --> 00:33:02,190
+بنديكم احد التيارات، بتبقى طلع عندكم مشكلةلأن
+
+494
+00:33:02,190 --> 00:33:05,170
+الوقت عندك ثلاث معادلات ثلاث مجال عندك هتعود مباشر
+
+495
+00:33:05,170 --> 00:33:07,950
+فانا بحل المشكلة طبعا انت وانا اللي اتشغلنا فيها
+
+496
+00:33:07,950 --> 00:33:11,150
+حتى جوه الصعوبة وانت بتحولي واصلي في كتاب لإن هو
+
+497
+00:33:11,150 --> 00:33:13,770
+عندك ثلاث مجالين و تاخد وجهك زي ما قلتلك تمام
+
+498
+00:33:13,770 --> 00:33:21,230
+دقايق حد جابري وكتاب تكتب معادلاتك تمام؟ عصب
+
+499
+00:33:21,230 --> 00:33:28,790
+المعادلة واحدة بتتركيز تمامانه اي واحد تعتقد متها
+
+500
+00:33:28,790 --> 00:33:33,950
+صح لكن اي اتنين و اي تلاتة طلعوا صوالي مش مشكلة اه
+
+501
+00:33:33,950 --> 00:33:39,570
+هي عكسها لكن مش مشكلة اي بيظلط اي واحد مننا تفصل
+
+502
+00:33:39,570 --> 00:33:43,030
+تعكس؟ لأ على التقالي كلنا ده بدينا نحكي عشان كده
+
+503
+00:33:43,030 --> 00:33:46,590
+مبارض يروح عند الجاشة مجسن سهل عشان كده يبقى ارتاح
+
+504
+00:33:46,590 --> 00:33:50,950
+لإن في عندك battery team مشاركات في الدائرة على كل
+
+505
+00:33:50,950 --> 00:33:52,830
+الأحوال احكي
+
+506
+00:33:54,940 --> 00:33:58,960
+لأ مافيش طيار سالب بس هذا ال direction اه بس هو ال
+
+507
+00:33:58,960 --> 00:34:01,760
+scale of quantity الطيار عادي اللي لازم يكون موجة
+
+508
+00:34:01,760 --> 00:34:04,360
+بقيمته و هذا السلب عشان يقولك احكي اتجاه ياما و
+
+509
+00:34:04,360 --> 00:34:09,480
+انا اقوله الطبع التو حكي ناشر بقى اللي انا احكيه
+
+510
+00:34:09,480 --> 00:34:13,900
+لو حطينا اتجاهات غلط للطيارطيب السالب في الآخر ما
+
+511
+00:34:13,900 --> 00:34:16,640
+حل السؤال لازم نعدل اتجاه السيارة؟ لأ، تبقى لك حل
+
+512
+00:34:16,640 --> 00:34:20,200
+و خد سالبك بس، لما تعودى عن سيارة عوضه بسالب، زي
+
+513
+00:34:20,200 --> 00:34:23,620
+ما كانت بدى أعمل، تمام؟ عشان ماتجمدش حالك، خلّيك
+
+514
+00:34:23,620 --> 00:34:27,880
+زي ما أنت، كشمل الف ديريكشن للسؤال، خلاص انت حاطب
+
+515
+00:34:27,880 --> 00:34:30,580
+ال direction تبقى كحالة، خلّيك رجال، أفضل ال field
+
+516
+00:34:30,580 --> 00:34:35,190
+تبعك، ماتغيرش، تمام؟ بس خد الرقم اللى بيجيكلتجد
+
+517
+00:34:35,190 --> 00:34:39,970
+الاختلاف الممكن بين الاتنين نبدأ في النقطة الأولى
+
+518
+00:34:39,970 --> 00:34:42,870
+ابدا من النقطة الأولى طبعا النقطة الأولى ممكن
+
+519
+00:34:42,870 --> 00:34:46,430
+يقولك I ممكن يقولك A أو B أو C أو D واضح فدائما
+
+520
+00:34:46,430 --> 00:34:48,750
+النقطة الأولى هي النقطة التانية اللي إليها يعني
+
+521
+00:34:48,750 --> 00:34:51,590
+دائما تذكر Define الناقص V initial فالنقطة الأولى
+
+522
+00:34:51,590 --> 00:34:55,010
+من التانية ابتدا من النقطة الأولى وانا كان هو
+
+523
+00:34:55,010 --> 00:35:00,760
+بيدرو VB ناقص VA من اين بدي أبدأ؟ من Aإذا بيقول لي
+
+524
+00:35:00,760 --> 00:35:03,080
+to find the potential difference between two
+
+525
+00:35:03,080 --> 00:35:06,540
+points start at the initial point and traverse the
+
+526
+00:35:06,540 --> 00:35:09,000
+loop toward the final point اللي أنا ممكنش ترجع
+
+527
+00:35:09,000 --> 00:35:13,500
+نفس النقطة لإنه ممكنش VA-VA VA بيناخس VA إذا تبدأ
+
+528
+00:35:13,500 --> 00:35:17,100
+من هناك و تروح من هناك تسهل من ال B و بس بعد كيف
+
+529
+00:35:17,100 --> 00:35:20,060
+بيروح من A ل B؟ بيقول لك كل ما بدك تروح ممكن يكون
+
+530
+00:35:20,060 --> 00:35:23,740
+عدة طرق تروح فيهم اللي بدك إياه أسهل لك تروح خل
+
+531
+00:35:23,740 --> 00:35:28,940
+التاني و التالت تعمل test دوابك صح ولا لأ؟خلّينا
+
+532
+00:35:28,940 --> 00:35:32,400
+هدهي هدى انا نفسها وهى ال currents اللى عملناها
+
+533
+00:35:32,400 --> 00:35:34,980
+نفس الطيارات و نفس الاتجاهات بالساعة و بالموجة
+
+534
+00:35:34,980 --> 00:35:37,920
+اللى بدي اخدهم تمام شباب فاكرتم ايه بدي ابدأ عشان
+
+535
+00:35:37,920 --> 00:35:41,740
+اجيب VP نقص ليه طب من ايه لبيك كيف امشي امشي عدى
+
+536
+00:35:41,740 --> 00:35:45,680
+ولا امشي تحت ولا امشي فوق اللى بديه أسهل واحد
+
+537
+00:35:45,680 --> 00:35:50,690
+وينقولكم لتحت في عصر واحدشايف تلاحظ ده كام عنصر
+
+538
+00:35:50,690 --> 00:35:57,170
+فيه؟ عنصر واحد مفروض زائد اتنين I ثلاثة ولا لأ انا
+
+539
+00:35:57,170 --> 00:36:02,570
+هايحمل E ل D مشان ال I ثلاثة بيكون عكسي اذا بتكون
+
+540
+00:36:02,570 --> 00:36:06,110
+مفروض زائد اتنين I ثلاثة و I ثلاثة جديد اسفل
+
+541
+00:36:06,110 --> 00:36:08,570
+العالم معايا نقص واحد امبير طلعت نقص اتنين point
+
+542
+00:36:08,570 --> 00:36:16,080
+انا هنجرببقول starting at point A we follow a path
+
+543
+00:36:16,080 --> 00:36:19,620
+till point B through the middle battery بقول انا
+
+544
+00:36:19,620 --> 00:36:22,720
+مانا مش عال middle battery درجة العدلة طب و انا
+
+545
+00:36:22,720 --> 00:36:27,800
+ماشي هيك حد او اكيد بيداخده معاه ايه؟ موجة تمام و
+
+546
+00:36:27,800 --> 00:36:33,020
+هدق ست ست اي واحد مظبوط او لا؟ اذا بقول VP نقص VA
+
+547
+00:36:33,020 --> 00:36:35,840
+بدأت من ايه؟ بقولت عشر او نقص ست اي واحد اي واحد
+
+548
+00:36:35,840 --> 00:36:39,450
+كان عبارة عن اتنينفنقص اتنين volt و هذا جدش
+
+549
+00:36:39,450 --> 00:36:44,630
+الطناية و انا راح نقص اتنين volt طب يلا نطلع فوق
+
+550
+00:36:44,630 --> 00:36:50,450
+نطلع فوق لما نطلع فوق شباب عدد طيار اصله هيك اذا
+
+551
+00:36:50,450 --> 00:36:58,090
+سالب اربع I اتنين سالب اربعة عاش اصبحت جدش I اتنين
+
+552
+00:36:58,090 --> 00:37:03,190
+تلاته ولا سالب تلاته سالب تلاته سالب سالب تلاته
+
+553
+00:37:03,190 --> 00:37:05,490
+زائد اتن عاش نقص اربعة عاش
+
+554
+00:37:12,950 --> 00:37:16,790
+طبعا ماعرف اي حاجة لأن فيها عاصر اقل زي هيك خلاص
+
+555
+00:37:16,790 --> 00:37:23,450
+ضربة واحدة بضربها فيها أيش افسار شباب؟ قضية كيرشوف
+
+556
+00:37:23,450 --> 00:37:28,890
+عملية بتيجي سهلة مياد زي ما حكينا الصعوبة اللي في
+
+557
+00:37:28,890 --> 00:37:34,030
+صعوبة جبرية مش اكتر او اقل والباقي بيكون في عدة
+
+558
+00:37:34,030 --> 00:37:38,890
+مهارة المعادلة تتكسب صح وانا بقول المعادلة كل
+
+559
+00:37:38,890 --> 00:37:41,610
+معادلة لها تلت علامات لكن المعادلة لا تقسم على
+
+560
+00:37:41,610 --> 00:37:46,310
+اتنينبمعنى آخر المعاجلة لاب يدسواك، ده يقولها صح،
+
+561
+00:37:46,310 --> 00:37:49,730
+لايقولها غلطيعني فيها خمس ترمات تام فيهم غلط واحد
+
+562
+00:37:49,730 --> 00:37:53,410
+كله ترجع لماتك بدك يكون ممنوع تغلط لأنه احنا في
+
+563
+00:37:53,410 --> 00:37:55,290
+المجارس كنا نقبل انك تغلط هذي الشيء اللي أخدتها في
+
+564
+00:37:55,290 --> 00:37:58,150
+المجارس الان ممنوع تغلط فهي بالك اللي قولتلي إياها
+
+565
+00:37:58,150 --> 00:38:01,390
+واحد يقولي الداخل و الخارج يغلطني فيها كمان ان
+
+566
+00:38:01,390 --> 00:38:04,250
+معادلات الطيارات الداخل تساوي ما تقلش الطيارات
+
+567
+00:38:04,250 --> 00:38:08,610
+الخارجة او يعملي حاجة غلط مقبلهاش ولا كمان ان
+
+568
+00:38:08,610 --> 00:38:13,130
+الجهود انا ماشي شغل سهلة الطيار معايا سالب
+
+569
+00:38:13,130 --> 00:38:16,830
+الفطارية معايا موجب و مارش على هذا الأساس تمام
+
+570
+00:38:18,420 --> 00:38:22,260
+Gamana's sign here indicates that VA أخضر من VD
+
+571
+00:38:22,260 --> 00:38:25,200
+طبعا ما زال ثالث اذا انا أكبر من VD عشان بعضهم
+
+572
+00:38:25,200 --> 00:38:30,860
+بيقول try to follow احنا عملنا محاولات و نجحت try
+
+573
+00:38:30,860 --> 00:38:33,160
+to follow another that is from A to B to verify
+
+574
+00:38:33,160 --> 00:38:37,300
+that they give also give the same results طبعا و
+
+575
+00:38:37,300 --> 00:38:42,940
+طلعت كله نقص اتنين point تمام الموضوع الآن هو ال
+
+576
+00:38:42,940 --> 00:38:47,470
+RC circuit مين عملها في المحكمة؟شحن و تفريغ
+
+577
+00:38:47,470 --> 00:38:53,050
+المكثفات عملتوها كلكم؟ هذه الدائرة اسمها RC ليه
+
+578
+00:38:53,050 --> 00:39:00,490
+اسمها RC؟ فيها R فيها C RC Circuit طيب خلينا نبدأ
+
+579
+00:39:00,490 --> 00:39:04,150
+في المعمل إيش اشتغلته في الأول كنتوا تلاحظوا على
+
+580
+00:39:04,150 --> 00:39:09,770
+الساعة تاخدوا قراعة في الآخر ستشربوا شاي و تتحدثوا
+
+581
+00:39:09,770 --> 00:39:12,710
+قبل ما تاخدوا قراعة مظبوط ولا لأ في الأول بتكون
+
+582
+00:39:12,710 --> 00:39:19,180
+سريعة بعدين شوي شوي بتبطيزي .. لأن هذا طبيعة ال
+
+583
+00:39:19,180 --> 00:39:23,280
+exponential function ال exponential function شباب
+
+584
+00:39:23,280 --> 00:39:29,180
+هذا بيقولوا في علم الرياضيات أقوى function و أصفر
+
+585
+00:39:29,180 --> 00:39:34,220
+ع function لأن مافيش function جنبه بيقدر يغلبه هذا
+
+586
+00:39:34,220 --> 00:39:38,920
+بيبدو كتير قوي لو جيت انا رأيت بوا X خلنا نقول كيف
+
+587
+00:39:38,920 --> 00:39:39,760
+رسمتها؟
+
+588
+00:39:43,510 --> 00:39:44,650
+هنا في زيادة كتير و بعدين
+
+589
+00:39:44,650 --> 00:39:54,730
+تتبطططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططططط
+
+590
+00:39:55,350 --> 00:39:59,710
+طبعا لو مافيش مقاومة بشحنه بجزء من ثانية .. صح ..
+
+591
+00:39:59,710 --> 00:40:02,890
+لكن المقاومة بتخليني أشحنه بمدة طويلة .. إذا
+
+592
+00:40:02,890 --> 00:40:05,670
+المقاومة هي بتخليني أشحنه بمدة طويلة .. لكن ..
+
+593
+00:40:05,670 --> 00:40:08,530
+ممكن أشحنه بدون خلال الشغلة كلها .. أجيب بالمكثف و
+
+594
+00:40:08,530 --> 00:40:11,170
+أحطه بالبطارية مباشرة .. ثانية ثلاثة .. خلاص ..
+
+595
+00:40:11,170 --> 00:40:14,410
+بلحظة mentally .. حطه للمقاومة .. أستنى عليه و أخد
+
+596
+00:40:14,410 --> 00:40:17,570
+قراة و ساعة .. أخاف .. أستنى .. و لما تقعد نصف
+
+597
+00:40:17,570 --> 00:40:22,700
+ساعة عشان أتعبى .. نفس عملية التثميرالتفريغ ممكن
+
+598
+00:40:22,700 --> 00:40:27,520
+افرغه بلحظة بحط بين الطرفين و سلكي خلص بفضل حط
+
+599
+00:40:27,520 --> 00:40:31,880
+مقاومة و بعدي عدم ما يفضل و عد عليه تمام اول ما
+
+600
+00:40:31,880 --> 00:40:36,740
+ابدأ بتشارج process هاي دائرة تمام هجيلي دائرة
+
+601
+00:40:36,740 --> 00:40:40,320
+مفتوحة ولا لأ انا بسكرها مرتين لأ خلي المفتاح
+
+602
+00:40:40,320 --> 00:40:44,180
+لأحمر لا تحت لا فوق اذا تحت بسكر فيه loop مغلقة
+
+603
+00:40:44,180 --> 00:40:47,120
+بصير ولا لأ و اين هو ال loop المغلقة بصير لو كان
+
+604
+00:40:47,120 --> 00:40:53,260
+المفتاح هنابصي تفريغ لو فاض المكثف .. بصي ايش؟ لأ
+
+605
+00:40:53,260 --> 00:40:56,680
+.. اه المكثف هو وصلت بين طرفين وصلك بطل المكثف
+
+606
+00:40:56,680 --> 00:41:01,520
+وانتهينا منه .. لكن لو عملته هيك صار .. شحن ..
+
+607
+00:41:01,520 --> 00:41:04,460
+لأنه رابطه بالبطارية ولا لأ .. رابطه بالبطارية ..
+
+608
+00:41:04,460 --> 00:41:07,700
+بقول ليه .. the figure shows a capacitor initially
+
+609
+00:41:07,700 --> 00:41:11,560
+under charge .. في الأول فاضيConnected in series
+
+610
+00:41:11,560 --> 00:41:17,380
+with a resistor if the switch capital S is thrown
+
+611
+00:41:17,380 --> 00:41:22,680
+at point one, the capacitor will begin to charge,
+
+612
+00:41:22,940 --> 00:41:24,500
+creating a current in the circuit
+
+613
+00:41:28,230 --> 00:41:31,010
+بتنتقل يعني اتحركت لو في ال meter بتتحرك ولا
+
+614
+00:41:31,010 --> 00:41:35,490
+بتشتحرك لإن هو هي تيار اتحركت الشحنات هي تيار و ال
+
+615
+00:41:35,490 --> 00:41:39,190
+meter إيش بجيس؟ تيار إذا أول ما أبدي أشحن الطيار
+
+616
+00:41:39,190 --> 00:41:43,110
+بلعب على طول صار في عندك تيار بجيس طيب يالا هاي
+
+617
+00:41:43,110 --> 00:41:49,150
+إيش صار هيك سكرنا مفتاحنا يالا هاي شحنات الموجة
+
+618
+00:41:49,150 --> 00:41:55,090
+بقى هاي التيار هتتجاه التيار طبعا
+
+619
+00:41:55,090 --> 00:42:02,510
+قطب السالب هو اللي بيجيبهم هه بنتشحنانشحن .. تم ..
+
+620
+00:42:02,510 --> 00:42:06,850
+بيبقى بيشحن وقتيش لما يصير جهد المكتب سواء جهد
+
+621
+00:42:06,850 --> 00:42:09,630
+البطارية بيبقى قطر في مجلة حركة الشحنات اللي
+
+622
+00:42:09,630 --> 00:42:12,490
+بيخليها تتحرك و ان في فرق جهد واحد بيجيه في الآخر
+
+623
+00:42:12,490 --> 00:42:14,170
+خلاص بتجف و احنا أخدناها عدة مرات
+
+624
+00:42:17,780 --> 00:42:20,900
+لت I be the current in the circuit at some instant
+
+625
+00:42:20,900 --> 00:42:24,180
+during the charging process يقول إنك لو قاعد بتشحن
+
+626
+00:42:24,180 --> 00:42:27,240
+هتلاقي الطيارة عامله بزيد بزيد بزيد قاعد شوية شوية
+
+627
+00:42:27,240 --> 00:42:31,880
+يقول خلّي هذا الرمز I هو الطيارة عند لحظة ما جست
+
+628
+00:42:31,880 --> 00:42:35,600
+بعد خمس دقايق قول جدش الطيارة طلعت قول قيمته I
+
+629
+00:42:36,460 --> 00:42:39,260
+during the charging process and small q be the
+
+630
+00:42:39,260 --> 00:42:42,580
+charge on the capacitor at the same instant و
+
+631
+00:42:42,580 --> 00:42:46,280
+الشحنات الاتكارونات افترضها small q تبقى from
+
+632
+00:42:46,280 --> 00:42:49,680
+Kirchhoff's second rule في لوب مغلق ولا مش لوب
+
+633
+00:42:49,680 --> 00:42:53,620
+مغلق يا شباب يلا نطبق كيرشوف التانية كيرشوف
+
+634
+00:42:53,620 --> 00:42:57,980
+التانية إيش بتقول؟ بدي أد منها يا شباب هد إيش خدها
+
+635
+00:42:57,980 --> 00:43:02,860
+معايا ولا ضدين؟ يعني زائد إبسلون صح ولا؟ زائد
+
+636
+00:43:02,860 --> 00:43:06,940
+إبسلونفالطيار هو الخط الأحمر بالنسبة لكم هذه
+
+637
+00:43:06,940 --> 00:43:09,540
+الشحنات الموجبة وحنا بيقول الطيار حركة الشحنات
+
+638
+00:43:09,540 --> 00:43:14,540
+الموجبة فالسالب أول في الأرض .. إيه؟ كده كانت
+
+639
+00:43:14,540 --> 00:43:20,600
+التعامل معاهم ماعلمنيش بقول هو أصلا علمنا شغل مهمة
+
+640
+00:43:20,600 --> 00:43:23,560
+إذا أنت ماشي من العلي للواطي سالب وإذا ماشي من
+
+641
+00:43:23,560 --> 00:43:26,600
+السالب للعلي موجب صح أنا ماشي من العلي للواطي
+
+642
+00:43:26,600 --> 00:43:29,580
+للمناطق العالية يعني سالب
+
+643
+00:43:33,480 --> 00:43:40,120
+Q على C إذا سالب Q على C بالساوسية يعني المكثف
+
+644
+00:43:40,120 --> 00:43:44,260
+عشان أريح حاجة أعمله زي البطارية زي البطارية لكن
+
+645
+00:43:44,260 --> 00:43:47,900
+هى المفضل واحد انت طالع من عالي لواطي سالب من واطي
+
+646
+00:43:47,900 --> 00:43:50,800
+لعالي موجب وانا اجيت ماشي من عالي لواطي ولا لأ
+
+647
+00:43:50,800 --> 00:43:54,220
+بحسب الاتجاه إذا سالب فرق الجود زى ما هذا فرق
+
+648
+00:43:54,220 --> 00:43:57,320
+الجود من قانون O هذا فرق الجود تبقى كبسط لما عرفته
+
+649
+00:43:57,320 --> 00:44:01,670
+من أول هى المعاجلة طب اكتبها لما هنا كتبتهذه
+
+650
+00:44:01,670 --> 00:44:05,670
+المعادلة عن زمن معين شباب مخلصتش لسه جالي خلص هذه
+
+651
+00:44:05,670 --> 00:44:09,050
+معادلة بدي أشتغل فيها الجابر الجادة جالي فيها
+
+652
+00:44:09,050 --> 00:44:15,630
+عراقة بين I و Q I و Q بينهم عراقة I مش بيساوي DQ
+
+653
+00:44:15,630 --> 00:44:19,590
+على DT جالي طب أعوذ وشو مش بيصار معاك بقولي بقى I
+
+654
+00:44:19,590 --> 00:44:24,190
+بيساوي DQ على DT هيك صارت المعادلةهذه يسموها طبعا
+
+655
+00:44:24,190 --> 00:44:28,150
+رياضيات معادلة تفاضلية مظبوط ولا لا؟ بس جالي هذه
+
+656
+00:44:28,150 --> 00:44:30,330
+ممكن تتحلها على كل حوار مش عارف انا أحللها ولا لا
+
+657
+00:44:30,330 --> 00:44:34,270
+اه هين أحللها جالي الوقت بها معادلة تفاضلية عشان
+
+658
+00:44:34,270 --> 00:44:39,210
+هذه .. مانا انتوا مين ناخد كمعادلة تفاضلية؟ حد؟
+
+659
+00:44:39,210 --> 00:44:42,930
+هذي فاس أوضة زي ما انا عاد .. محتوطة في المخدمة و
+
+660
+00:44:42,930 --> 00:44:46,130
+ليس محتوطة فاحطيهم المخدمة و بعدين بيرموها لكوا
+
+661
+00:44:46,130 --> 00:44:49,610
+مجيبوها لكوا يكوش بهم مرة يعني هذي قصة كانت بردر
+
+662
+00:44:49,610 --> 00:44:52,190
+عليها الشغل كتير طبعا homogenous or non homogenous
+
+663
+00:44:52,190 --> 00:44:56,870
+مش مشكلةطبعا ال homogeneous عشان ما تقولوش احنا
+
+664
+00:44:56,870 --> 00:44:59,830
+قاعدين نحكي شغلات مفهوم لما تكون هذه من السفر
+
+665
+00:44:59,830 --> 00:45:02,230
+بصينا homogeneous لما تكون هذه السفر بيسموها
+
+666
+00:45:02,230 --> 00:45:05,290
+homogeneous مش قضية علم كامل يعني هاي الشباب في
+
+667
+00:45:05,290 --> 00:45:09,710
+سنة تلتة ولا لا مش عارفون يوصلوا في مساق كامل اسمه
+
+668
+00:45:09,710 --> 00:45:12,290
+differential equation طبعا تعني رياضياتي بياخدوا
+
+669
+00:45:12,290 --> 00:45:16,630
+مساقيناسمها differential equation بس كيف يتعلموا
+
+670
+00:45:16,630 --> 00:45:19,650
+يحلوا المعادلات التفاضلية علم واسع جدا طبعا هذه
+
+671
+00:45:19,650 --> 00:45:23,170
+علم واسع جدا مرتبط عليها كتير من العلوم الهندسة
+
+672
+00:45:23,170 --> 00:45:25,010
+القهوبية كلها كيف يحلوا المعادلات التفاضلية
+
+673
+00:45:25,010 --> 00:45:29,110
+الهندسة الميكانيكية كلها نفس القضية في كيف
+
+674
+00:45:29,110 --> 00:45:32,710
+يتعاملوا معاها المعادلات التفاضلية كتير مهمة لأنه
+
+675
+00:45:32,710 --> 00:45:37,100
+في الآخرالشغل بيصير ما زال I وDQ على DT إذا إجت
+
+676
+00:45:37,100 --> 00:45:39,460
+المعادلة التفاضلية وإذا طبعا simple harmonic
+
+677
+00:45:39,460 --> 00:45:42,740
+motion إحنا أخدنا نوع أخر من المعادلات التفاضلية
+
+678
+00:45:42,740 --> 00:45:46,480
+فعلم المعادلات التفاضلية علم واسع جدا وقواعد كتيرة
+
+679
+00:45:46,480 --> 00:45:49,520
+إحنا تعاون الفيزيا برضه بنعطيهم إياه بصورة متقدمة
+
+680
+00:45:49,520 --> 00:45:52,720
+جدا لازم يتعلموا عشان يتعاملوا مع الفيزيا ففي
+
+681
+00:45:52,720 --> 00:45:57,300
+عندنا مساقين بنعطيه برضه differential equation في
+
+682
+00:45:57,300 --> 00:45:59,900
+virtual differential equation مساك كامل فلازم برضه
+
+683
+00:45:59,900 --> 00:46:02,760
+يتعامل معاه و ال virtual اللي يعرف ordinary بيقدر
+
+684
+00:46:02,760 --> 00:46:06,640
+يعرف ال virtual بصورةمش خضية تمام هادرطبتها أنا
+
+685
+00:46:06,640 --> 00:46:10,960
+سببها .. شوفوا انتوا الاشتقاء مش كتير معضل لكن في
+
+686
+00:46:10,960 --> 00:46:13,820
+الآخر انا بيهم الطالب الاشتقاء يكون فاهميش اللي
+
+687
+00:46:13,820 --> 00:46:16,500
+بتسويناه يعني و دايما الاشتقاء يكون شغل اللي انا
+
+688
+00:46:16,500 --> 00:46:19,940
+عارفها يعني من مستوى الطالب الواحد ايش عامل؟ يقولك
+
+689
+00:46:19,940 --> 00:46:24,580
+انت ربط بها المعادلةهذه DQ و DT فانت ع شجة قال DQ
+
+690
+00:46:24,580 --> 00:46:29,960
+و DT فهذه DQ و حطها هناك قال DQ في الارسي DQ وهذه
+
+691
+00:46:29,960 --> 00:46:34,220
+R و C أضربها مع بعض تمام يعني هذه لو يترتبتها أنا
+
+692
+00:46:34,220 --> 00:46:38,720
+كيف بدي أسوي؟ بدي أقول .. خليني أقول أحط هناك
+
+693
+00:46:38,720 --> 00:46:46,680
+epsilon ناقص DQ في الار بتساوي Q على C في ال DT صح
+
+694
+00:46:46,680 --> 00:46:50,760
+ولا لأ يا شباب؟ ده أعمل ال take أنا غلط؟
+
+695
+00:46:58,440 --> 00:47:04,450
+هك عملناهابعدين جاء و اكتبها فصرت DQ على E في C
+
+696
+00:47:04,450 --> 00:47:07,650
+نقص Q بساوية DT على العرصى جالى عشان بس مجرد ان
+
+697
+00:47:07,650 --> 00:47:13,850
+انا اتعامل معاها بالفعل ايش I بساوية Q على T لأ I
+
+698
+00:47:13,850 --> 00:47:17,310
+بساوية DQ على DT حاجة لما يكون في عندك شغلها ثابتة
+
+699
+00:47:17,310 --> 00:47:19,950
+و شغلها زي ايه زي لما انا مجردش انا مجرد السرعة
+
+700
+00:47:19,950 --> 00:47:23,610
+بساوية مستفعة زمان لما تكون السرعة ثابتة صح فI
+
+701
+00:47:23,610 --> 00:47:27,690
+بساوية DQ على DT هجيت لك كامل الطرفين شباب كامل
+
+702
+00:47:27,690 --> 00:47:33,810
+الطرفين هذه تعاون انتوا بتعرفوها خانها كاملبقدر
+
+703
+00:47:33,810 --> 00:47:43,390
+أسمي هذه U CY ناقص الـQ بالثاوية يالا طيب معقول
+
+704
+00:47:43,390 --> 00:47:48,210
+واحدة واحدة هذي ثابت و لا ماتثابت سالب DQ بالثاوية
+
+705
+00:47:48,210 --> 00:47:52,650
+DU ولا لأ حلو
+
+706
+00:47:52,650 --> 00:47:58,190
+إذا DQ سالب DU و اللي تحت U DU ع Uلأن الـ U إذا
+
+707
+00:47:58,190 --> 00:48:01,570
+هذه اتكاملت طب وهذه جالي هذه أرصيد خلّيها برا
+
+708
+00:48:01,570 --> 00:48:08,170
+يستكمل ال DT T سهلة إذا صارت طيب لأن إذا صارت هذه
+
+709
+00:48:08,170 --> 00:48:15,130
+من ال U اللي هي بالسالد طبعا خلّيني أقول Q ناقص C
+
+710
+00:48:15,130 --> 00:48:20,670
+في إبسلون عشان السالد من صفر ل Q كيف يتعمل هذا؟
+
+711
+00:48:20,670 --> 00:48:23,150
+لأن
+
+712
+00:48:24,640 --> 00:48:31,480
+ال X من A ل B كيف بيعملها؟
+
+713
+00:48:31,480 --> 00:48:37,480
+مش B على A فنفس القضية جالي يصعد عندك لم CY نقص Q
+
+714
+00:48:37,480 --> 00:48:42,300
+على CY لما Q أصبح 0 بيصير هذه صح ولا لأ؟ بيصوى نقص
+
+715
+00:48:42,300 --> 00:48:45,720
+T على أقل C طيب كيف بيجيب هذه؟ جالي خد ال
+
+716
+00:48:45,720 --> 00:48:49,780
+exponential الطرفين أخدتوا هدف كقص ده ولا فعلا؟
+
+717
+00:48:49,780 --> 00:48:52,980
+فده خد ال exponential لما ياخد ال exponential ايش
+
+718
+00:48:52,980 --> 00:48:59,510
+بصير ليه؟وهذه ماذا بيصير exponential وقت
+
+719
+00:48:59,510 --> 00:49:03,510
+المعادلة انا
+
+720
+00:49:03,510 --> 00:49:09,870
+كنت بكتر ثقها هذه المعادلة Q بيساوي C في Y واحد
+
+721
+00:49:09,870 --> 00:49:16,410
+نقص E تبوى نقص D على عرصى هذا سالب
+
+722
+00:49:16,410 --> 00:49:23,510
+هينبين هنابس عشان جنب ال .. الهدى مش مبين فأولا
+
+723
+00:49:23,510 --> 00:49:27,690
+مبين هاليوم فيه سالب .. فيه سالب اه لأ انا مش
+
+724
+00:49:27,690 --> 00:49:30,370
+شايفه من داخلي يعني هو من داخلي جامعي .. فيه سالب
+
+725
+00:49:30,370 --> 00:49:34,570
+تمام طلعوا شداد اش اللي طلع معايا الطلع معايا
+
+726
+00:49:34,570 --> 00:49:41,530
+خلينا نطلع E تبقى و 0 جديش E تبقى و نقص ملا نهاية
+
+727
+00:49:41,530 --> 00:49:42,030
+جديش
+
+728
+00:49:44,930 --> 00:49:50,330
+عادي واحد عمله نهاية واحد عمله نهاية لأن E هادي
+
+729
+00:49:50,330 --> 00:49:54,870
+بتساوي واحد على E تبارك ماله نهاية صح؟ وماذا بيجدى
+
+730
+00:49:54,870 --> 00:50:03,110
+ايه؟ اتفت مصر اتفت مصر اتفت مصر الكلام اتفت
+
+731
+00:50:03,110 --> 00:50:03,610
+مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر
+
+732
+00:50:03,610 --> 00:50:04,550
+مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر اتفت مصر
+
+733
+00:50:04,550 --> 00:50:10,450
+اتفت مصر اتفت مصر اتفت
+
+734
+00:50:10,450 --> 00:50:17,220
+مصر اهي كانت طيب لما تجهزت مالا نهاية يعني بعد مدة
+
+735
+00:50:17,220 --> 00:50:20,720
+طويلة انتوا بيقولوا نقص مالا نهاية كده السرقة بقى
+
+736
+00:50:20,720 --> 00:50:25,680
+هاد روحت بيصيب Q بيصيب C في Y اه لكي Q بيصيب C في
+
+737
+00:50:25,680 --> 00:50:30,440
+V و V تبعات الكباسيتر صارت بساوي V تبعات البطارية
+
+738
+00:50:30,440 --> 00:50:34,580
+ولا لأ وانتوا قولتولكم ولا وقتيش بتوقف الحركة لما
+
+739
+00:50:34,580 --> 00:50:37,220
+صير جودي البطارية بيصيب جودي الكباسيتر اذا هاد
+
+740
+00:50:37,220 --> 00:50:42,370
+الكلام صحيحالتمام جاب الشحنات وأمالنا انه صحيح
+
+741
+00:50:42,370 --> 00:50:44,710
+بقول طب جيب الطيار بقول لك ايه الطيار بدي اقول ايه
+
+742
+00:50:44,710 --> 00:50:48,750
+بساوي DQ على DT بقى بتفضلوا تجيبولي I شباب يللا
+
+743
+00:50:48,750 --> 00:50:49,250
+نجيب I
+
+744
+00:50:53,490 --> 00:50:55,770
+where E is the base of the natural logarithm، بما
+
+745
+00:50:55,770 --> 00:50:59,590
+أنها بتعرفوه، هذا احنا هاين نحطه، مرات بنفكر إنه
+
+746
+00:50:59,590 --> 00:51:01,650
+لسه على الطالب ماخدهوش، بس نحن اللي بدوه في ال
+
+747
+00:51:01,650 --> 00:51:05,410
+calculus في البدايات، تمام، to find the current as
+
+748
+00:51:05,410 --> 00:51:07,230
+a function of time, we differentiate the last
+
+749
+00:51:07,230 --> 00:51:09,210
+equation، مين الفضل اللي هذه؟
+
+750
+00:51:13,220 --> 00:51:21,500
+مش على A سالب A في E اذا D على DX E تبقى من ناقص A
+
+751
+00:51:21,500 --> 00:51:24,980
+في ال X بيسوي سالب A E تبقى من ناقص A في ال X صح
+
+752
+00:51:24,980 --> 00:51:29,520
+او لا تمام بيقولي فاضل عشان عندك expression هنيان
+
+753
+00:51:29,520 --> 00:51:37,510
+فاضلI بيتساوية إذا كانت تفضلت نرجع نفضلها الـ Q
+
+754
+00:51:37,510 --> 00:51:43,390
+بيساوية Y في C واحد ناقص ايه طبعا ناقص T على RC
+
+755
+00:51:43,390 --> 00:51:49,410
+هيك جمال الصحق هادي في هادي في هادي اشتقخها إيش
+
+756
+00:51:49,410 --> 00:51:54,630
+سفر هجت هادي اشتقخها مش بيجي سالب و هنا فيه سالب
+
+757
+00:51:54,630 --> 00:52:01,210
+موجب C في Y بيجي RC Y على Rمظبوط انا لأ ايه تباول
+
+758
+00:52:01,210 --> 00:52:05,170
+نقصتي على RC زي ما هي .. هيك طلعت .. حلو؟ ليه ييجي
+
+759
+00:52:05,170 --> 00:52:08,070
+يشوف ايش اللي حصل معايا .. نرجع بقول اتطلع عليه
+
+760
+00:52:08,070 --> 00:52:11,510
+ايش بدي يصيب معاك .. لما تيبت 300 جديش طيارة
+
+761
+00:52:21,380 --> 00:52:24,940
+عشان كده في المعمل الاميتر بيبدأ عالي و بيبدأ طايل
+
+762
+00:52:24,940 --> 00:52:30,620
+طايل و معاك ولا لا في الآخر بيوقف بيعتبره zero إذا
+
+763
+00:52:30,620 --> 00:52:33,720
+الطيار بيبدأ سريع بيبدأ عالي و بيبدأ ينزل ينزل و
+
+764
+00:52:33,720 --> 00:52:38,640
+يطلع و بعدين بيبدأ بطيع هذا مشوف ليش هذا جال
+
+765
+00:52:38,640 --> 00:52:41,880
+التطلع الشباب جال هذا إيش وحدته
+
+766
+00:52:46,300 --> 00:52:50,600
+وهادى .. طيب قوم على .. vote على قوم إيش .. برضه
+
+767
+00:52:50,600 --> 00:52:53,040
+أنبير وهادى أنبير .. جالسة معناته .. هذا ممنوع على
+
+768
+00:52:53,040 --> 00:52:56,820
+كل وحدات .. ممنوع على كل وحدات طيب هدى سكن إذا هدى
+
+769
+00:52:56,820 --> 00:52:59,320
+غصب على أنبى الكون سكنت .. إذا جاله عرصى .. هدى
+
+770
+00:52:59,320 --> 00:53:03,260
+معناته زمان .. هو في حياة وحديدتها سكنت في دهاشر
+
+771
+00:53:03,260 --> 00:53:06,930
+كون زمان؟في عندكم كمية فيزيائية غير زمن واحدة
+
+772
+00:53:06,930 --> 00:53:13,170
+تسكن؟ اذا ال Rc غصب عنها بيكون زمن سموه tau وسموه
+
+773
+00:53:13,170 --> 00:53:18,250
+ال time constant ثابت للزمن تبع ال Rc و ال tau
+
+774
+00:53:18,250 --> 00:53:22,170
+تسميه Rc فبواحد يقول كيف هذي بيكون ثقل خلنا نرجع
+
+775
+00:53:22,170 --> 00:53:29,980
+نرجع من الآخر هذي ايش وحدتها؟ ما هذي؟مظهر؟ طيب
+
+776
+00:53:29,980 --> 00:53:36,860
+برضه نفتش نفتش ال ام عبارة عن vote على أمبير صح؟
+
+777
+00:53:36,860 --> 00:53:45,520
+vote على أمبير و هذه كله على
+
+778
+00:53:45,520 --> 00:53:50,360
+vote، حلو؟ vote مع vote روحت، فهي علاقة بين
+
+779
+00:53:50,360 --> 00:53:54,660
+الأمبير و الكله؟ أه، هذا عبارة عن هذا روحت كله،
+
+780
+00:53:54,660 --> 00:53:57,500
+وهذا كله مع السكان، هذا طلع على السكان، أه، هذا صح
+
+781
+00:53:58,180 --> 00:54:01,460
+إن ان هي second صحيح احنا من أول اتوقع انها second
+
+782
+00:54:01,460 --> 00:54:05,460
+و احنا مغنضين تمام لكن هي first and second أكيد
+
+783
+00:54:05,460 --> 00:54:11,160
+تمام ان سكها ايه ان ماقدر أقول RC is time و لا مش
+
+784
+00:54:11,160 --> 00:54:16,020
+time with a time constant of the circuit ثابت
+
+785
+00:54:16,020 --> 00:54:19,880
+الزمن طبعا إله مقضعة it is defined at the time
+
+786
+00:54:19,880 --> 00:54:23,140
+required for the current degrees to its initial
+
+787
+00:54:23,140 --> 00:54:27,940
+value كيف يعني؟بيقول لي لو T بيسوي تاو، لو T بيسوي
+
+788
+00:54:27,940 --> 00:54:32,960
+تاو، بيصير هذي Y على R على E، صح ولا لأ؟ إذا هو ال
+
+789
+00:54:32,960 --> 00:54:37,160
+time required to the current degrees to .. to إيش،
+
+790
+00:54:37,160 --> 00:54:40,460
+هل في إيه رمزة؟ أنا رايح من هنا، to 1 على E، to 1
+
+791
+00:54:40,460 --> 00:54:45,000
+over E, to 1 over E of its initial value، تمام، مش
+
+792
+00:54:45,000 --> 00:54:49,830
+مشكلة التعريف برضهخلّيني أشرح الـcharge و
+
+793
+00:54:49,830 --> 00:54:52,110
+الـcurrent مقارنة بالوقت تعرف أسمتي
+
+794
+00:54:52,110 --> 00:54:55,530
+الـexponential؟ نعرف أسمتي الـexponential هذه أنا
+
+795
+00:54:55,530 --> 00:55:01,490
+عندي معادلتين أريد أن أرسمهم شبكة الـQ والتيار و
+
+796
+00:55:01,490 --> 00:55:08,150
+أسمتي المعادلتين أريد أن أكتبهم الـQ سوى C في
+
+797
+00:55:08,150 --> 00:55:12,990
+أبسلوت واحد ناقص E طبعا ناقص T على الـTau الـRC
+
+798
+00:55:12,990 --> 00:55:18,790
+سوى الـTau الـIبتساوي epsilon على R E طبعا نقص T
+
+799
+00:55:18,790 --> 00:55:23,190
+على TAU هدول نبدأ من فوق، كيف أنتوا ترسموا في
+
+800
+00:55:23,190 --> 00:55:26,570
+الكالكوراصمة؟ بتاخدوا من أكم نقطة و أهم نقطين،
+
+801
+00:55:26,570 --> 00:55:29,890
+بتاخدوا سفر و نقطة بعيدة، نبدأ من نقطة السفر هنا،
+
+802
+00:55:29,890 --> 00:55:33,170
+اتفقنا لما تكون سفر واحد نقص واحد ببدأ من الـ0، و
+
+803
+00:55:33,170 --> 00:55:37,650
+في الآخر بعلش، لو يدفد أرسم شباب هيك بتصير، هاي
+
+804
+00:55:37,650 --> 00:55:42,290
+الرسمة، ببدأ من السفرالشحنة بتبدأ من الـ zero وبعد
+
+805
+00:55:42,290 --> 00:55:45,850
+كده بتنتلي بعد ما ينتلي يجيب تعالى تلاتي يوم رابع
+
+806
+00:55:45,850 --> 00:55:48,790
+يوم بيجي شحنة زيها ده بيظل زي ما هو عشان كده بسمها
+
+807
+00:55:48,790 --> 00:55:52,910
+ده asymptote مظبوط ولا لأ؟ هاي .. هاي أول queue طب
+
+808
+00:55:52,910 --> 00:55:55,350
+الطيارة .. الطيارة غالبا كيب السفر .. سفر ايش
+
+809
+00:55:55,350 --> 00:56:00,250
+بيصير فيه؟ سفر .. sorry أفسر على أعلى وبعدين بيجيب
+
+810
+00:56:00,250 --> 00:56:04,010
+.. هيك بيصير .. هاي الطيارة بيبدأ من I not و I not
+
+811
+00:56:04,010 --> 00:56:09,710
+هي دي هيقيمة الطيارة انت بتسوي صفر يعني لانه
+
+812
+00:56:09,710 --> 00:56:14,090
+اتباهر صفر واحد اذا I not بتسوي epsilon على R تمام
+
+813
+00:56:14,090 --> 00:56:22,070
+هذه هي رسماتنا في شي هنا هذه مهمة جدا ان شاء الله
+
+814
+00:56:22,070 --> 00:56:24,970
+في المحاضرة الجاية ما تبقى لان الباقية المعلومات
+
+815
+00:56:24,970 --> 00:56:27,410
+كتير مهمة بنكمل المرة الجاية
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5c009b34eade01b97d8a0873e1101c28ab7a5396
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2910, "start": 9.8, "end": 29.1, "text": "بنبدأ بسم الله الرحمن الرحيم و نستأنف ما تبقى من ال chapter بدينا بالعنوان the RC circuits بسرعة نعيد اللي سوناه و ماخلصناهوش و قلنا ان في عندنا عملية charging and discharging the capacitor", "tokens": [3555, 1863, 44510, 10721, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 8717, 14851, 33456, 5172, 19446, 6055, 3555, 4587, 7578, 9154, 2423, 7187, 4724, 16254, 8315, 20666, 3615, 1863, 2407, 7649, 264, 28987, 26354, 4724, 3794, 2288, 27884, 8717, 3615, 25708, 13672, 1829, 8608, 2407, 8315, 3224, 4032, 19446, 9778, 1211, 9381, 8315, 3224, 2407, 8592, 4032, 12174, 1211, 8315, 16472, 8978, 43242, 8315, 6225, 42213, 10632, 11379, 293, 717, 7374, 3249, 264, 29372], "avg_logprob": -0.2584134546610025, "compression_ratio": 1.515625, "no_speech_prob": 1.990795135498047e-05, "words": [{"start": 9.799999999999999, "end": 10.76, "word": "بنبدأ", "probability": 0.672698974609375}, {"start": 10.76, "end": 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maximum ولا لأ؟ لأن هذه أقصى جهد بياخدوا ال capacitor ولا لأ؟ واحنا قلنا لأ وقت إيش ال capacitor بينتلي لما جهده بيساوي جهد البطارية وجهد البطارية قد إيش؟ Epsilon إذا هذه Q maximum هذه هي Q maximum تمام؟", "tokens": [2304, 19913, 3555, 2407, 9566, 49429, 5296, 10721, 22807, 6156, 2288, 4587, 10874, 3224, 3215, 8978, 383, 48, 46811, 10943, 22807, 44381, 29538, 1249, 4724, 28543, 2288, 5551, 39648, 41850, 1249, 6674, 49429, 5296, 10721, 22807, 5296, 33456, 29538, 5551, 4587, 9381, 7578, 10874, 3224, 3215, 4724, 1829, 47283, 3215, 14407, 2423, 29372, 49429, 5296, 10721, 22807, 4032, 39319, 8315, 12174, 1211, 8315, 5296, 10721, 4032, 38149, 11933, 1829, 8592, 2423, 29372, 4724, 9957, 2655, 20292, 5296, 15042, 10874, 3224, 3215, 3224, 4724, 1829, 3794, 995, 45865, 10874, 3224, 3215, 29739, 9566, 9640, 10632, 49610, 3224, 3215, 29739, 9566, 9640, 10632, 12174, 3215, 11933, 1829, 8592, 22807, 462, 16592, 11933, 15730, 29538, 1249, 6674, 29538, 39896, 1249, 6674, 46811, 10943, 22807], 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لما", "probability": 0.80419921875}, {"start": 494.78, "end": 495.08, "word": " جهده", "probability": 0.984375}, {"start": 495.08, "end": 495.34, "word": " بيساوي", "probability": 0.94521484375}, {"start": 495.34, "end": 495.52, "word": " جهد", "probability": 0.9720052083333334}, {"start": 495.52, "end": 496.18, "word": " البطارية", "probability": 0.98046875}, {"start": 496.18, "end": 496.82, "word": " وجهد", "probability": 0.8116861979166666}, {"start": 496.82, "end": 497.22, "word": " البطارية", "probability": 0.99560546875}, {"start": 497.22, "end": 497.44, "word": " قد", "probability": 0.71875}, {"start": 497.44, "end": 498.28, "word": " إيش؟", "probability": 0.8663330078125}, {"start": 498.28, "end": 498.78, "word": " Epsilon", "probability": 0.57440185546875}, {"start": 498.78, "end": 499.56, "word": " إذا", "probability": 0.732666015625}, {"start": 499.56, "end": 499.88, "word": " هذه", "probability": 0.8427734375}, {"start": 499.88, "end": 500.12, "word": " Q", "probability": 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"text": "ولمّا أجيب الطيار شباب طلعته بتساوي وهذا طلع هو الطيار لما T بتساوي سفر وطلع عند الطيار I بتساوي I not E to power ناقص T على RC", "tokens": [12610, 2304, 11703, 995, 5551, 7435, 1829, 3555, 41950, 1829, 9640, 13412, 3555, 16758, 23032, 1211, 34268, 3224, 39894, 3794, 995, 45865, 37037, 15730, 23032, 1211, 3615, 31439, 41950, 1829, 9640, 5296, 15042, 314, 39894, 3794, 995, 45865, 8608, 5172, 2288, 4032, 9566, 1211, 3615, 43242, 41950, 1829, 9640, 286, 39894, 3794, 995, 45865, 286, 406, 462, 281, 1347, 8717, 995, 4587, 9381, 314, 15844, 28987], "avg_logprob": -0.25466417109788353, "compression_ratio": 1.5107913669064748, "no_speech_prob": 0.0, "words": [{"start": 535.73, "end": 536.17, "word": "ولمّا", "probability": 0.7596435546875}, {"start": 536.17, "end": 536.53, "word": " أجيب", "probability": 0.8682861328125}, {"start": 536.53, "end": 537.09, "word": " الطيار", "probability": 0.7227376302083334}, {"start": 537.09, "end": 537.61, "word": " شباب", "probability": 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"start": 553.67, "end": 572.89, "text": "هذه المعادلتين اللي طلعوا معايا بعد ما اشتقت اي نوت هو التيارة ان ت بتساوي سفر و هيك احفظها لما اقول v note ايش v note عندك معلومة عنها مش صراحة كدرية يعني v ال t بتساوي سفر ولا لا و I note هو التيارة ان ت بتساوي سفر و هيك احفظها تمام؟", "tokens": [3224, 24192, 9673, 3615, 18513, 1211, 2655, 9957, 13672, 1829, 23032, 1211, 3615, 14407, 20449, 995, 25528, 39182, 19446, 1975, 8592, 2655, 38149, 1975, 1829, 8717, 35473, 31439, 38392, 9640, 3660, 16472, 6055, 39894, 3794, 995, 45865, 8608, 5172, 2288, 4032, 39896, 4117, 1975, 5016, 5172, 19913, 11296, 5296, 15042, 1975, 39648, 371, 3637, 1975, 1829, 8592, 371, 3637, 43242, 4117, 20449, 1211, 20498, 3660, 18871, 11296, 37893, 20328, 23557, 5016, 3660, 9122, 3215, 2288, 10632, 37495, 22653, 371, 2423, 256, 39894, 3794, 995, 45865, 8608, 5172, 2288, 49429, 20193, 4032, 286, 3637, 31439, 38392, 9640, 3660, 16472, 6055, 39894, 3794, 995, 45865, 8608, 5172, 2288, 4032, 39896, 4117, 1975, 5016, 5172, 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After being closed for a long time .. بعد ما انطلعت تمام تمام فكته من البطارية و بدأت أفرغ فيه .. لما بدأت أفرغ .. ايش اللي بدو ينقص الان؟ بدو ينقص Q و الطيار .. او ايش ببقوا الطيار؟ مبدوش ايه الطيار؟ جالك انت اشتغلت هناك .. 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5e5ad88947b66abcfbab1a1e78558e84bc124fd5
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/ZQGL6vpjXAA_raw.srt
@@ -0,0 +1,2308 @@
+1
+00:00:09,800 --> 00:00:13,040
+بنبدأ بسم الله الرحمن الرحيم و نستأنف ما تبقى من
+
+2
+00:00:13,040 --> 00:00:19,020
+ال chapter بدينا بالعنوان the RC circuits بسرعة
+
+3
+00:00:19,020 --> 00:00:24,780
+نعيد اللي سوناه و ماخلصناهوش و قلنا ان في عندنا
+
+4
+00:00:24,780 --> 00:00:30,520
+عملية charging and discharging the capacitorعندى
+
+5
+00:00:30,520 --> 00:00:34,820
+الدائرة اللى انتوا شايفينها عندى بطارية متصلة
+
+6
+00:00:34,820 --> 00:00:38,740
+بالتوالي مع مقاومة وcapacitor the capacitor is
+
+7
+00:00:38,740 --> 00:00:44,180
+initially empty وبدى انا اشحنه the figure shows a
+
+8
+00:00:44,180 --> 00:00:48,300
+capacitor initially uncharged connected in series
+
+9
+00:00:48,300 --> 00:00:52,420
+with a resistor if the switch capital S is thrown
+
+10
+00:00:52,420 --> 00:00:57,020
+at point one to connect the batterythe capacitor
+
+11
+00:00:57,020 --> 00:01:00,240
+will begin to charge creating a current in the
+
+12
+00:01:00,240 --> 00:01:03,140
+circuit واتفقنا إنه في الدائرة الكهربائية أعتقد
+
+13
+00:01:03,140 --> 00:01:05,980
+إنه كان في عينكم جيلفانوميتر أو أميتر بيكون صح ولا
+
+14
+00:01:05,980 --> 00:01:10,560
+لأ؟ يعني بيكون متصل هنا أميتر أو جيلفانوميتر وفي
+
+15
+00:01:10,560 --> 00:01:15,120
+مؤشر أول ما أسكر المفتاح وأبدأ أشتغل على طول بأشر
+
+16
+00:01:15,120 --> 00:01:19,740
+الاميتر ليش؟ لأنه بدأت الشحنات تنتقل عشان عملية
+
+17
+00:01:19,740 --> 00:01:22,860
+شحن المكثف أول ما اتحركت الشحنات صار في تيار
+
+18
+00:01:23,220 --> 00:01:27,120
+فالاميتر او جيل فانو متر مؤشره بصوله deflection
+
+19
+00:01:27,120 --> 00:01:31,180
+دليل على انه رصد هناك طيار هي detect a current
+
+20
+00:01:31,180 --> 00:01:36,340
+تمام و هنتفق لهاي الطيار اللي صاره detection في
+
+21
+00:01:36,340 --> 00:01:40,400
+الدائرة هذه حركة الشحنات الموجبة او بما اخر اتجاه
+
+22
+00:01:40,400 --> 00:01:46,020
+الطيار الكهربائيوصور عندي ال capacitor مشحون و
+
+23
+00:01:46,020 --> 00:01:50,280
+بنضمن اشحان فيه لما يصير fully charged و لما يصير
+
+24
+00:01:50,280 --> 00:01:54,840
+fully charged بدي يصير ال capacitor و البطارية
+
+25
+00:01:54,840 --> 00:01:59,650
+جهدهم بسوء بعض في هذه الدائرة، مظبوط ولا لأ؟طبعا
+
+26
+00:01:59,650 --> 00:02:03,490
+نجي المنطق بيقول ايش هذا التيار اللي انتوا شايفين
+
+27
+00:02:03,490 --> 00:02:07,690
+حركته هذا .. هذا من البطارية جاية صحيح ولا لا؟
+
+28
+00:02:07,690 --> 00:02:10,950
+يعني هذا تيار البطارية و كل ما عطيها البطارية ده
+
+29
+00:02:10,950 --> 00:02:14,590
+هو و احنا متفقين ان التيار هو اتجاهه باتجاه حركة
+
+30
+00:02:14,590 --> 00:02:18,730
+الشحنات الموجبة .. تمام اول ما ال capacitor بدأ
+
+31
+00:02:18,730 --> 00:02:25,530
+ينشحن صار برضه له تيار صح ولا لا؟ تياره برضه من
+
+32
+00:02:25,530 --> 00:02:27,190
+الموجبة السالت بيكون بهذا الشكل
+
+33
+00:02:32,330 --> 00:02:38,450
+التنين مع بعض ولا عكس بعض لما نقول ال KS صارت مش
+
+34
+00:02:38,450 --> 00:02:41,930
+من القطب الموجب لقطب السالب طب هاي الموجب للسالب
+
+35
+00:02:41,930 --> 00:02:48,390
+هاي الموجب هتبقى الكماسيتر هجيه التيار الكل اللي
+
+36
+00:02:48,390 --> 00:02:52,770
+في الدائرة مش I battery ناقص Ic صح ولا لأ I
+
+37
+00:02:52,770 --> 00:02:59,770
+battery ناقص Icأول حاجة كان الكبسطر فاضي IC0 بقت
+
+38
+00:02:59,770 --> 00:03:02,970
+كده يا عمال ال IC بزيد .. بزيد .. بزيد .. بزيد ..
+
+39
+00:03:02,970 --> 00:03:08,010
+و الطيارة عندي بنجسط لأن ال I total شباب I total
+
+40
+00:03:08,010 --> 00:03:11,770
+اللي بيجيسه الأنميطة يساوي I تماع ال battery نخس I
+
+41
+00:03:11,770 --> 00:03:16,090
+تماع الكبسطر صح ولا لأ؟ لما يكون هذا صفر هذا يكون
+
+42
+00:03:16,090 --> 00:03:21,220
+I battery لما هذا يزيد ايش مصرفي هذا؟بنجرس لما هدى
+
+43
+00:03:21,220 --> 00:03:24,300
+يساوي هدى كده بيصير هدى؟ Zero وقت إيش هدى بيصير
+
+44
+00:03:24,300 --> 00:03:27,000
+يساوي هدى؟ لما يساوي هدى هدى بيساوي جده هدى؟ مظبوط
+
+45
+00:03:27,000 --> 00:03:31,500
+ولا لا؟ إذا لما يدخل المكفف بيصير وكأنه يقول
+
+46
+00:03:31,500 --> 00:03:34,420
+البطارية زي ما انت إيه لك أنا إلي هاي طيارة فهاي
+
+47
+00:03:34,420 --> 00:03:36,860
+طيارة صاروا مع بعض بيصير الطيارة كله في الداخل
+
+48
+00:03:36,860 --> 00:03:41,160
+Zero عشان كده الطيارة بيبدأ عالي وينزل وينزل وينزل
+
+49
+00:03:41,160 --> 00:03:45,360
+لما يساوي في الآخر Zero لما بيصير الطيارين بيساووا
+
+50
+00:03:45,360 --> 00:03:52,760
+بعض تمامأحنا هاي الشغل اللي شرحناها رياضيا، قولنا
+
+51
+00:03:52,760 --> 00:03:55,940
+let I be the current in the circuit at some
+
+52
+00:03:55,940 --> 00:04:00,600
+instant during the charging process and Q be the
+
+53
+00:04:00,600 --> 00:04:03,920
+charge on the capacitor at the same instant، بدنا
+
+54
+00:04:03,920 --> 00:04:07,460
+نطبق كرش في شبابوقلنا كيرشوف ونشتغل عليها لوب
+
+55
+00:04:07,460 --> 00:04:12,100
+مغلقان يبدأ بالبطارية وقلنا ابسلون ناقص I في ال R
+
+56
+00:04:12,100 --> 00:04:15,500
+ناقص Q على C ال Q على C هي فرق جودة بين طرفيه
+
+57
+00:04:15,500 --> 00:04:19,080
+بكباسة R وبما انه انا ماشي من العادل الواطي الفرق
+
+58
+00:04:19,080 --> 00:04:22,380
+بيكون سالب مظبط ولا لأ بما ان انا ماشي من العادل
+
+59
+00:04:22,380 --> 00:04:25,160
+الواطي من الموجب للسالب اللي معناته الفرق بيكون
+
+60
+00:04:25,160 --> 00:04:29,480
+سالب هيك اشتغلنا عليها وقلنا هذه الدائرة عندي ورقة
+
+61
+00:04:29,480 --> 00:04:36,320
+بين Q وI وقلت I بيساوي DQ على DT فقولتهي صرت هيك
+
+62
+00:04:36,320 --> 00:04:41,160
+فجيت هذه الدائرة لو جيت انا بدي اشتغلها اشتغلها
+
+63
+00:04:41,160 --> 00:04:47,240
+بقول خليني اجسم على a في المعادلة عشان مايقبطاش
+
+64
+00:04:47,240 --> 00:04:56,560
+خبز أصير epsilon على a ناقص dq على dt ناقص q على
+
+65
+00:04:56,560 --> 00:05:00,420
+rc بالثلاث أسافر صح شباب هيك تمام
+
+66
+00:05:02,960 --> 00:05:09,320
+جيب هذا هنا وهذا هنا فبتصير عندك ال DQ على DT
+
+67
+00:05:09,320 --> 00:05:17,080
+بتساوي Epsilon على A ناقص Q ساعة زائد على AC لأ
+
+68
+00:05:17,080 --> 00:05:30,000
+ناقص مظبوط هيك ولا لأ طيب نجد المواحد هدول مظبوط
+
+69
+00:05:30,000 --> 00:05:39,780
+هيكوانشش تارتر بيعني صحيح صحيح هذه وديها على ال
+
+70
+00:05:39,780 --> 00:05:46,620
+bus و هذه بيجيبها على المقام، بنفع؟ ده مادري ما هو
+
+71
+00:05:46,620 --> 00:05:54,840
+هذه لما تيجي بيصير DQ على Y في C نقص Q بيساوي DT
+
+72
+00:05:54,840 --> 00:06:01,360
+على AC بالسالب طبعا لأنه انا عندي عكسة
+
+73
+00:06:03,650 --> 00:06:08,390
+كيو .. إذا عكست هنا دي هيت بصير تمام إذا من انا
+
+74
+00:06:08,390 --> 00:06:13,810
+طوال أيه اش عملت دي كيو على س نقص كيو بيساوي دي ت
+
+75
+00:06:13,810 --> 00:06:17,590
+على العاصر، هاي اللي صارت العلاقة بصورة بسيطة،
+
+76
+00:06:17,590 --> 00:06:20,710
+المره دي كيك خبطة خبطة واحدة، بيجي نتواجه انه انا
+
+77
+00:06:20,710 --> 00:06:26,970
+بعمل شغلة مش واضحة، صارت هذه المعادلةحاجة هذه
+
+78
+00:06:26,970 --> 00:06:30,030
+المعادلة الشباب مش بدي أسوي فيها بدي أكملها من
+
+79
+00:06:30,030 --> 00:06:33,410
+integrating both sides of the last equation we get
+
+80
+00:06:33,410 --> 00:06:41,090
+هذه هي فقولت ايش بدي أسوي؟ واخلت CY مقص Q بتساوي U
+
+81
+00:06:41,090 --> 00:06:51,170
+مظبوط هيك ولا لأ صح انك ماقص DQ بتساوي DU مظبوط؟
+
+82
+00:06:51,170 --> 00:06:59,450
+روح اعوضبادر الـDQ بدعوت سالب DU فصارت سالب DU على
+
+83
+00:06:59,450 --> 00:07:04,990
+U فهذا السالب بحطه هنا سالب واحد على عرسي تكامل DT
+
+84
+00:07:04,990 --> 00:07:13,730
+فصارت هيك ايش تكامل ال DU على U من ال U و تكامل ال
+
+85
+00:07:13,730 --> 00:07:21,990
+DTT فصارت اليوم هي هذه فصارت لنا طبعا لما اعود CY
+
+86
+00:07:21,990 --> 00:07:28,010
+نقص Q على CY بستوي ناقص T على RC ناقص T على RC
+
+87
+00:07:28,010 --> 00:07:33,170
+طبعا هنا اللي صارت فوق و تحت من هدول التكامل مرة
+
+88
+00:07:33,170 --> 00:07:38,150
+علاقة بصفر و مرة علاقة بQ تمام؟ عشان اجيب هذه
+
+89
+00:07:38,150 --> 00:07:40,530
+بتقدروا بترفيه المعادلة او اجيب ال explanation
+
+90
+00:07:40,530 --> 00:07:46,320
+لترفيه المعادلة فطلعت عندي بهذا الشكلطبعا اشتغل
+
+91
+00:07:46,320 --> 00:07:52,000
+شغل بسيط طلعت بهذه الصورة لما نيجي نتطلع شباب، اش
+
+92
+00:07:52,000 --> 00:07:59,740
+هي هذه؟ هذه فرق جهد في Cمظبوط ولا لأ؟ فرق جهد في
+
+93
+00:07:59,740 --> 00:08:05,920
+CQ تمام؟ لكن هذه Q بقدر أقول أنا Q maximum ولا لأ؟
+
+94
+00:08:05,920 --> 00:08:11,200
+لأن هذه أقصى جهد بياخدوا ال capacitor ولا لأ؟
+
+95
+00:08:11,200 --> 00:08:15,080
+واحنا قلنا لأ وقت إيش ال capacitor بينتلي لما جهده
+
+96
+00:08:15,080 --> 00:08:18,780
+بيساوي جهد البطارية وجهد البطارية قد إيش؟ Epsilon
+
+97
+00:08:18,780 --> 00:08:25,400
+إذا هذه Q maximum هذه هي Q maximum تمام؟
+
+98
+00:08:28,000 --> 00:08:32,640
+هل دائما اكيو ماكسيما بالساوية C في Y؟ لأ حسب
+
+99
+00:08:32,640 --> 00:08:37,080
+الدائرة حسب الدائرة عدنا هتشوفوا حال الحلم سائل
+
+100
+00:08:37,080 --> 00:08:40,900
+where E is the base of the natural logarithm هو هم
+
+101
+00:08:40,900 --> 00:08:43,640
+اتفقناها to find the current as a function of time
+
+102
+00:08:43,640 --> 00:08:46,820
+we differentiate طلعت الطيارة إذا أثر في عندي
+
+103
+00:08:46,820 --> 00:08:51,760
+معاجلة بتقول Q بالساوية Q maximum واحد ناقص ايه؟
+
+104
+00:08:51,760 --> 00:08:57,610
+تبقى واحد ناقص T على RCولمّا أجيب الطيار شباب
+
+105
+00:08:57,610 --> 00:09:05,030
+طلعته بتساوي وهذا طلع هو الطيار لما T بتساوي سفر
+
+106
+00:09:05,030 --> 00:09:11,310
+وطلع عند الطيار I بتساوي I not E to power ناقص T
+
+107
+00:09:11,310 --> 00:09:16,830
+على RCهذه المعادلتين اللي طلعوا معايا بعد ما اشتقت
+
+108
+00:09:16,830 --> 00:09:23,330
+اي نوت هو التيارة ان ت بتساوي سفر و هيك احفظها لما
+
+109
+00:09:23,330 --> 00:09:26,430
+اقول v note ايش v note عندك معلومة عنها مش صراحة
+
+110
+00:09:26,430 --> 00:09:30,030
+كدرية يعني v ال t بتساوي سفر ولا لا و I note هو
+
+111
+00:09:30,030 --> 00:09:34,270
+التيارة ان ت بتساوي سفر و هيك احفظها تمام؟إذن I
+
+112
+00:09:34,270 --> 00:09:37,750
+NOT هي قيمة التيارة NT بتساوي سفر هاي المصطلح
+
+113
+00:09:37,750 --> 00:09:42,590
+تبعها طلعناها شباب هاي المعادلتين طبعا شباب انا T
+
+114
+00:09:42,590 --> 00:09:46,730
+بتساوي RC اتفقنا عليها انه بما انه هذا I و هذه I
+
+115
+00:09:46,730 --> 00:09:50,110
+NOT إذا لازم هذه مايكونهاش واحدةأشتغلت أنا وياكم
+
+116
+00:09:50,110 --> 00:09:53,630
+وطلعت RC لازم واحدتها تكون second وطلعت معانا
+
+117
+00:09:53,630 --> 00:09:57,110
+second عشان كده سموها the time constant of the
+
+118
+00:09:57,110 --> 00:09:59,990
+circuit وإيش تعرفها؟ قال ليش من كده بدي أعرفها
+
+119
+00:09:59,990 --> 00:10:04,330
+بيقول لما T بيساويتها و بيصير هذي واحد على E وهذه
+
+120
+00:10:04,330 --> 00:10:08,910
+قيمة الأولانية إذا هو الزمن اللازم عشان التيار
+
+121
+00:10:08,910 --> 00:10:13,930
+يصير واحد على E من قيمته الأصلية فهيك يعرف بيقولك
+
+122
+00:10:13,930 --> 00:10:17,220
+it's defined as the time requiredfor the current
+
+123
+00:10:17,220 --> 00:10:23,280
+to decrease to 1 over E of its initial value طبعا
+
+124
+00:10:23,280 --> 00:10:27,380
+أنا وهذا الاشتغالة وإن كانت احنا غالبا مانجيبهوش
+
+125
+00:10:27,380 --> 00:10:30,400
+لكن انا ممكن أشتقه بطريقة أخرى شبابنا وياكم نعملنا
+
+126
+00:10:30,400 --> 00:10:34,100
+شوية محاضرة refresh calculus نشوف كيف يتعامل معاها
+
+127
+00:10:34,100 --> 00:10:40,140
+أنا بديت في معادلة هذه هذه المعادلة
+
+128
+00:10:40,140 --> 00:10:42,600
+بدي أحلها واتفقنا ال differential equation ومش
+
+129
+00:10:42,600 --> 00:10:45,240
+عارف أيه شو بيجيب منها خليني أحلها بطريقة تانية
+
+130
+00:10:46,970 --> 00:10:50,230
+جيبت Q من Q جيبت I .. بدي احنا الطريقة اجيب I و
+
+131
+00:10:50,230 --> 00:10:53,990
+بعدين اجيب Q .. نشوف كيف نطلع معاه .. لو جيت شباب
+
+132
+00:10:53,990 --> 00:10:57,850
+.. بدي افضل المعادلة دي .. بنعرف ان فاضل .. و
+
+133
+00:10:57,850 --> 00:11:02,770
+بنعرف ايش .. طيب .. ايش اللي متغير معادي الزمن؟ ..
+
+134
+00:11:02,770 --> 00:11:05,890
+ايش متغير مع الزمن؟ .. ايه الكمشر ماتين .. تيار و
+
+135
+00:11:05,890 --> 00:11:10,550
+شحنات .. بتتغير ايسل مع الزمن؟ .. رفضلوها معادي
+
+136
+00:11:10,550 --> 00:11:17,370
+الزمن .. سفر ..أرض تتغير مع الزمن؟
+
+137
+00:11:17,370 --> 00:11:24,170
+1 على C تتغير مع الزمن؟ هذه
+
+138
+00:11:24,170 --> 00:11:30,040
+إيش هي؟ولا لأ؟ ماشي ايه ايه؟ طب صارت عندى .. الله
+
+139
+00:11:30,040 --> 00:11:34,200
+سعيد عليك الصغير طبعا صارت عندى سالب او خلّي هذه
+
+140
+00:11:34,200 --> 00:11:41,460
+السالب هي الموجب R Di على Dt بالساوي السالب هذه
+
+141
+00:11:41,460 --> 00:11:45,600
+خلّيها تروح هنا و هنا السالب يعني بالساوي واحد على
+
+142
+00:11:45,600 --> 00:11:52,820
+C في I مصبوط ولا لأ؟ تمام جيبلي ال R هنا بنفع؟
+
+143
+00:11:52,820 --> 00:11:54,500
+بنفع
+
+144
+00:11:57,190 --> 00:12:02,250
+الـ I هادي بدي أضعها في المقام يعني أجسم طرفي
+
+145
+00:12:02,250 --> 00:12:06,710
+المعادلة في الـ I و أضرب طرفي المعادلة في DT صار
+
+146
+00:12:06,710 --> 00:12:12,810
+عندك DI over I سوى ماقص T و هنا واحد على RC ولا لأ
+
+147
+00:12:12,810 --> 00:12:17,370
+DT sorry صح
+
+148
+00:12:17,370 --> 00:12:24,230
+ولا لأ كامل يامان كامل من سيف اللاتينهذه عندي صفر
+
+149
+00:12:24,230 --> 00:12:28,730
+في I NOT وعندي T في I I دائما صفر بيقابلها I NOT
+
+150
+00:12:28,730 --> 00:12:33,130
+صفر بيقابلها V NOT صح ولا لأ تمام ايش هيكمل D I
+
+151
+00:12:33,130 --> 00:12:37,570
+على I لان ال I من I ل I NOT لان ال I على I NOT ولا
+
+152
+00:12:37,570 --> 00:12:43,390
+لأ اذا هذه المعادلة صارت لان I على I NOT ايش هيكمل
+
+153
+00:12:43,390 --> 00:12:52,980
+DT من صفر ل T T سوى سالب T على RCطلع I فقط I
+
+154
+00:12:52,980 --> 00:13:02,100
+بتساوي I not هي تباور نخستي على أرسل صحيح؟
+
+155
+00:13:02,100 --> 00:13:08,460
+صحيح هي نفسها تاكي بيدي جي بي كيو جالي جي بي كيو
+
+156
+00:13:08,460 --> 00:13:17,160
+برضه انت بتعرف ان I بتساوي DQ على DT اذا DQ بتساوي
+
+157
+00:13:17,160 --> 00:13:28,530
+I DT صح ولا لأ؟أذا DQ هو I نقطة نقص T على RC DT
+
+158
+00:13:28,530 --> 00:13:35,130
+كامل طرفي المعادلة هذي من صفر لـQ لأنه كان في
+
+159
+00:13:35,130 --> 00:13:40,470
+الأول فاضي و هذي من صفر لـT إيش هي كامل الـDQ من
+
+160
+00:13:40,470 --> 00:13:45,990
+صفر لـQQ ياما كاملولي اي تبوة نقص T على RC كاملولي
+
+161
+00:13:45,990 --> 00:13:53,750
+اي تبوة نقص Alpha Xناقص واحد على الفا ناقص واحد
+
+162
+00:13:53,750 --> 00:13:57,670
+على RC و ال RC في المقام بصير في البسط بس اذا ناقص
+
+163
+00:13:57,670 --> 00:14:07,030
+RC E طبعا ناقص T على RC من صفر لT فهذا الناقص
+
+164
+00:14:07,030 --> 00:14:14,010
+اجيبه و احط هنا T و احط هذه صفر اعكس في عينيك اه
+
+165
+00:14:14,010 --> 00:14:17,950
+في عينيك عكسك
+
+166
+00:14:19,370 --> 00:14:21,790
+بنجي العوض إيش لما يكون فيه صفر ا طبعه صفر كده
+
+167
+00:14:21,790 --> 00:14:29,930
+إيش؟ واحد إذا بتساوي I not RC واحد ناقص طب هنا T ا
+
+168
+00:14:29,930 --> 00:14:33,570
+طبعه ناقص T على RC طب هذه كيف بيديجيها؟ مش هى
+
+169
+00:14:33,570 --> 00:14:39,750
+عبارة عن Y على R I not Y على R إلا لما R راحت وY
+
+170
+00:14:39,750 --> 00:14:45,420
+في C اللى هي Vq maximum هي نفسهافتش تشغلكوا و لا
+
+171
+00:14:45,420 --> 00:14:48,040
+تشغلكوا انتوا اتفقنا احنا معادلة تفضلية ولا مش
+
+172
+00:14:48,040 --> 00:14:50,620
+معادلة تفضلية في الآخر في بعض المعادلات التفضلية
+
+173
+00:14:50,620 --> 00:14:53,880
+تبحث بصورة بسيطة لكن في بعض الأمور بتكون معقدة
+
+174
+00:14:53,880 --> 00:14:57,540
+فالمهم في عندي أنا الأن شباب معادلتين بدي أحفظهم
+
+175
+00:14:57,540 --> 00:15:02,860
+في حالك ال charging Q بيسوي Q maximum مواحد نقص T
+
+176
+00:15:02,860 --> 00:15:06,200
+على tau ممكن تكون معروفة وI بيسوي I not E طب هو
+
+177
+00:15:06,200 --> 00:15:12,870
+نقص T على tau حلو الآن جلي يرسمهمواتفقنا مع
+
+178
+00:15:12,870 --> 00:15:15,810
+مغاردنك انا صنعهم احنا let us plot the charge and
+
+179
+00:15:15,810 --> 00:15:18,490
+the current versus the time لما صمتوا بتلعبوا ايه
+
+180
+00:15:18,490 --> 00:15:22,830
+طبعا يصمت ابتعطي دلالة قوية على ايش انا بسوي بقولي
+
+181
+00:15:22,830 --> 00:15:27,710
+q بتبدأ zero و بتبقى زيد لما تنطلي و بعد ما تنطلي
+
+182
+00:15:27,710 --> 00:15:32,610
+خلاص بعد كده مش ممكن تزيد فبصير asymptote عندك
+
+183
+00:15:32,610 --> 00:15:39,140
+طبعا هذه q maximumقيمتها التيار بيبدأ a lot اللي
+
+184
+00:15:39,140 --> 00:15:42,780
+هو تبع البتن في دراحاته وبتبقى اللي دول ينزل ينزل
+
+185
+00:15:42,780 --> 00:15:46,440
+ينزل لمسه سفر في الآخر بتجابل ال two currents
+
+186
+00:15:46,440 --> 00:15:53,680
+وبكون zero طبعا يمكن في المعمل ماطلعتش .. الطيار
+
+187
+00:15:53,680 --> 00:15:58,900
+مابسويش سفر بالظبط يعني الطيار بنزل بنزل بيوصل ..
+
+188
+00:15:58,900 --> 00:16:05,370
+بيوصل السفر؟ ليش؟مش المقاوم بس الأسلاك كمان في
+
+189
+00:16:05,370 --> 00:16:09,730
+عندهم مقاومات وفي مقاومة ال .. ال .. مقاومة
+
+190
+00:16:09,730 --> 00:16:17,250
+الأميتام نفسه يعني في أكتر من شغلة تمام طب
+
+191
+00:16:17,250 --> 00:16:22,110
+نيجي نشتري الشباب بالدائرة بدي أرسمها كمان مرة دي
+
+192
+00:16:22,110 --> 00:16:25,110
+لزمني هال gate لإن أنا بسمها بعد هذه الصفحة بس و
+
+193
+00:16:25,110 --> 00:16:28,210
+أنا بشرح الآن خلينا نجميه إيش بنسوي
+
+194
+00:16:30,830 --> 00:16:36,990
+طبعا الاشتغاف اللى حاولنا نجيبه في الامتحان اللى
+
+195
+00:16:36,990 --> 00:16:42,910
+انا بدى افهمه ان انا عندي دائرة تشارجنج وهي
+
+196
+00:16:42,910 --> 00:16:52,090
+capacitor هي epsilon هادي R وهادي C تمام قولت I
+
+197
+00:16:52,090 --> 00:16:59,030
+noteبتساوي Y على R هيك طلعت صحيح انا ده I not Y
+
+198
+00:16:59,030 --> 00:17:03,730
+على R طلعناها ال T بيساوي سفر بس شويه is zero and
+
+199
+00:17:03,730 --> 00:17:07,870
+the current is maximum given by I بيساوي Y على R
+
+200
+00:17:07,870 --> 00:17:12,910
+وين جيبتها الشباب هذه المعراقة هذه
+
+201
+00:17:12,910 --> 00:17:18,050
+سفر اذا I بيساوي Y على R عن T بيساوي سفر طلعت هنا
+
+202
+00:17:18,050 --> 00:17:23,130
+طب قللي في شغلة كتير حلوة طلعت جيبها ده وحط محله
+
+203
+00:17:23,130 --> 00:17:31,820
+سفرمن يقول ان جديش تيار هو نفسه اذا انتي بالساوي
+
+204
+00:17:31,820 --> 00:17:36,480
+سفر و كأنه ال capacitor انا جمته و حطيت محله ال
+
+205
+00:17:36,480 --> 00:17:42,840
+silicon short circuit تمام يعني على طول انا بخليه
+
+206
+00:17:42,840 --> 00:17:46,620
+هيك لو خليته و الكيب جاعل بقول انا اعمل هيك اي
+
+207
+00:17:46,620 --> 00:17:50,720
+short circuitهذه الملاحظة جدا مهمة و جدا عليها
+
+208
+00:17:50,720 --> 00:17:53,880
+أسئلة في الكوزات و في الامتحانات بيقول that if the
+
+209
+00:17:53,880 --> 00:18:01,760
+capacitor acts as if it wereإذا كنت أستخدم طرفين
+
+210
+00:18:01,760 --> 00:18:07,300
+وسلك فهو يعمل
+
+211
+00:18:07,300 --> 00:18:10,660
+كإنه بين طرفين وسلك وهو كإنه بين طرفين وسلك يعمل
+
+212
+00:18:10,660 --> 00:18:22,190
+كإنه بين طرفين وسلك يعمل كإنه بين طرفين وسلكتمام؟
+
+213
+00:18:22,190 --> 00:18:24,490
+اذا من اليوم اللي طالع لما يقولي بيدي شغل قدتي
+
+214
+00:18:24,490 --> 00:18:27,390
+بتساوي صفر على طول بجيه من ال capacitor و بحط محله
+
+215
+00:18:27,390 --> 00:18:30,230
+سيليكي وبتعامل مع الدائرة و لا كأنه في ال
+
+216
+00:18:30,230 --> 00:18:34,990
+capacitor موجود طب بيقولي افضل عليهم ال time اه
+
+217
+00:18:34,990 --> 00:18:39,370
+بيساوي I note ايه تبقى ماخستيه على tau طب حاط هدى
+
+218
+00:18:39,370 --> 00:18:44,090
+مانا نهاية صارت صفر مظلوم لأ طب وقتش في اي ديارة
+
+219
+00:18:44,090 --> 00:18:47,810
+بتكون الطيار صفر لإن بتكون مفتوحة بيقولي بتكون
+
+220
+00:18:47,810 --> 00:18:51,850
+الدائرة كان هيك يبقوا الطيار هناكأذا هذه هي
+
+221
+00:18:51,850 --> 00:18:57,640
+الدائرة، اذا بيقول ليThat is the capacitor acts as
+
+222
+00:18:57,640 --> 00:19:02,180
+if it were an open switch بتعامل معها وكأنها شبات
+
+223
+00:19:02,180 --> 00:19:05,660
+في الدقيقة لما يقولي T بيثاوى من النهاية شباب اذا
+
+224
+00:19:05,660 --> 00:19:08,420
+انا في ال ending هجيت ملاحظاتين كتير مهمات عن T
+
+225
+00:19:08,420 --> 00:19:11,700
+بيثاوى سفر ايش بدي اعمل ال capacitor وعن T بيثاوى
+
+226
+00:19:11,700 --> 00:19:14,500
+من النهاية كيه بدي اعمل ال capacitor عن T بيثاوى
+
+227
+00:19:14,500 --> 00:19:18,000
+سفر بجيه من ال capacitor محله سلك وعن T بيثاوى من
+
+228
+00:19:18,000 --> 00:19:22,690
+النهاية خل ال capacitor بصبح بعامله كأنه في فتحةفي
+
+229
+00:19:22,690 --> 00:19:25,190
+الجائرة يعني دي قلة مفتوحة في ال .. في القواعد
+
+230
+00:19:25,190 --> 00:19:28,090
+اللي فيه الكفارسترالز احنا هنحل .. انا جايب سؤال
+
+231
+00:19:28,090 --> 00:19:32,790
+خارجي عشان انا مثلا الكتاب بتغطي الشدد ايه الفكرة؟
+
+232
+00:19:32,790 --> 00:19:34,710
+الان this is the charging process لنشوف ايش ..
+
+233
+00:19:34,710 --> 00:19:36,990
+اخبار ال this is the charging ايش بده يصير هل ال
+
+234
+00:19:36,990 --> 00:19:39,710
+.. الوراقين التاوة اللي اشتقتهم في ال charging ان
+
+235
+00:19:39,710 --> 00:19:43,310
+q بالساوة q maximum واحد ناقص اتوا بوا ناقستها على
+
+236
+00:19:43,310 --> 00:19:47,610
+تاو وال I بالساوة I not اتوا بوا ناقستي على تاو
+
+237
+00:19:47,610 --> 00:19:51,820
+هدول القانونين تبعون ال charging processواتفقنا ان
+
+238
+00:19:51,820 --> 00:19:57,180
+هنا Q بيبدأ 0 و بصير maximum هنا تلعب يبدأ maximum
+
+239
+00:19:57,180 --> 00:20:01,180
+و بصير 0 نشوف ال process إيش بصير هاي الدائرة
+
+240
+00:20:01,180 --> 00:20:05,680
+بيقول suppose that the capacitor is now fully
+
+241
+00:20:05,680 --> 00:20:08,700
+charged انا دلوقتي هستني لما اتأكدت ان ال
+
+242
+00:20:08,700 --> 00:20:13,140
+capacitor بعد كده بطل ياخد شحنات انتهى such that
+
+243
+00:20:13,140 --> 00:20:15,560
+its potential difference is equal to the
+
+244
+00:20:15,560 --> 00:20:21,750
+infepsilon حلو؟إن فرقة جوهره تبعه بسوء إبسلوت إذا
+
+245
+00:20:21,750 --> 00:20:26,370
+كان السويتش مضطر لـ 0.2 إذا كان السويتش مضطر لـ 0
+
+246
+00:20:26,370 --> 00:20:28,010
+.1 إذا كان السويتش مضطر لـ 0.2 إذا كان السويتش
+
+247
+00:20:28,010 --> 00:20:28,190
+مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان
+
+248
+00:20:28,190 --> 00:20:28,790
+السويتش مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1
+
+249
+00:20:28,790 --> 00:20:31,170
+إذا كان السويتش مضطر لـ 0.1 إذا كان السويتش مضطر
+
+250
+00:20:31,170 --> 00:20:36,790
+لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان السويتش
+
+251
+00:20:36,790 --> 00:20:42,970
+مضطر لـ 0.1 إذا كان السويتش مضطر لـ 0.1 إذا كان
+
+252
+00:20:42,970 --> 00:20:48,510
+السويتش مضاتحضوا مع بعض Positive و negative عملوا
+
+253
+00:20:48,510 --> 00:20:52,190
+مفضّي طيب اتحركت الشحنات ولا ما اتحركتش؟ ان ال
+
+254
+00:20:52,190 --> 00:20:54,710
+meter بدّي يعمل deflection ولا لا؟ بدّي يعمل
+
+255
+00:20:54,710 --> 00:20:57,350
+deflection و باين ان في طيار، بدّي يجي السيار، لأن
+
+256
+00:20:57,350 --> 00:21:01,830
+هذا الطيار ثابت ولا عمله مينغاس؟ مينغاس لأنه مش زي
+
+257
+00:21:01,830 --> 00:21:04,690
+البطارية، البطارية فقط هنا ثابت أما هذا طيار
+
+258
+00:21:04,690 --> 00:21:07,890
+موثقله، مش شحناته، مش شحناته عمله مينغاس، إذا
+
+259
+00:21:07,890 --> 00:21:11,410
+موثقله مينغاس، إذا الطيار عمله مينغاس، لأنه يفضل
+
+260
+00:21:11,410 --> 00:21:15,500
+كمثلة، مش طيار بيكونيرجع لـ Zero فبهذه المعلومة
+
+261
+00:21:15,500 --> 00:21:18,900
+يقنع يشوف ان انا نشتاقها جالي هذه اللي بيحرك فيها
+
+262
+00:21:18,900 --> 00:21:22,420
+الدوية الحمراء بقدر اتعملها Loop ولا مش Loop يعني
+
+263
+00:21:22,420 --> 00:21:25,260
+انا بفتبق عليها قانون كيرشوف التاني ولا لا اكم
+
+264
+00:21:25,260 --> 00:21:30,320
+عنصر فيه اتنين نبدأ من الcapacitor ماشي من واطع
+
+265
+00:21:30,320 --> 00:21:35,430
+لعلي ولا من العلي لواطعييعني من واطل عالي is
+
+266
+00:21:35,430 --> 00:21:39,550
+الموجد طب و هو اول مقاومة سالد سالد لأننا ماشي مع
+
+267
+00:21:39,550 --> 00:21:42,950
+الطيار و الطيار هي الخبر المخطو الحمرو اذا let I
+
+268
+00:21:42,950 --> 00:21:44,850
+be the current in the circuit of some instant
+
+269
+00:21:44,850 --> 00:21:47,910
+during this process اللي هي this charging process
+
+270
+00:21:47,910 --> 00:21:50,610
+and Q be the charge on the capacitor at the same
+
+271
+00:21:50,610 --> 00:21:54,150
+instant applying Kirchhoff's rule to the loop we
+
+272
+00:21:54,150 --> 00:21:58,770
+get Q على C positive مقص I في الار بالساوي سفر حلو
+
+273
+00:21:58,770 --> 00:22:05,290
+نرجعsubstituting for I بتساوي DQ على DT بتساوي
+
+274
+00:22:05,290 --> 00:22:12,570
+سالب DQ على DT طب ليش سالب حتة؟ عشانها بينجص عشان
+
+275
+00:22:12,570 --> 00:22:18,610
+بينجص Q تتغير بالنقصان و لما يكون التغير بالنقصان
+
+276
+00:22:18,610 --> 00:22:24,460
+يكون سالب أخدته زمان هذاوهذا هذا طبعا نموذج ولا
+
+277
+00:22:24,460 --> 00:22:29,200
+سالب وهذا لأن هذا تناقصي ولا تزايدي وانا عندي
+
+278
+00:22:29,200 --> 00:22:31,640
+الشحنات انا بعرف ايش بيسوي انا بعمل discharging
+
+279
+00:22:31,640 --> 00:22:36,140
+process لان Q is decreasing ولما Q is decreasing
+
+280
+00:22:36,140 --> 00:22:40,660
+اذا I بالساوية سالب DQ على DT I بالساوية سالب DQ
+
+281
+00:22:40,660 --> 00:22:44,220
+على DT ده اللي عوض معاها عوضنا طلعت هذه المعادلة
+
+282
+00:22:44,220 --> 00:22:51,400
+DQ على Q بالساوية سالب 1 على RC DTكامل طرفي
+
+283
+00:22:51,400 --> 00:22:57,320
+المعادلة ليش هيك عامل حدود التكامل الشباب؟ طلعوا
+
+284
+00:22:57,320 --> 00:23:02,780
+على هذه .. هذه أنا لأ من صفر لإيه؟ لأنه كان مليان
+
+285
+00:23:02,780 --> 00:23:05,920
+في الأول .. و في عادية أنا ده عامل دي من الآخر ..
+
+286
+00:23:05,920 --> 00:23:08,740
+و أي وقت ما كان .. لأ أي .. لأ أي queue .. بس في
+
+287
+00:23:08,740 --> 00:23:14,640
+الأول .. إذا حاطيتها دي مدى نهاية يعنيبحطها دي صفر
+
+288
+00:23:14,640 --> 00:23:18,760
+بس انا حطيت ايه كده بس for any time اذا هذه for
+
+289
+00:23:18,760 --> 00:23:22,620
+any queue لما تقولها دي من النهاية بتوقع عليها صفر
+
+290
+00:23:22,620 --> 00:23:25,900
+لكن انا بدي اجيب علقة او a function of T وقولت هذه
+
+291
+00:23:25,900 --> 00:23:28,580
+متى .. مثلا اذا بقولها دي queue تبعد T تبعدك اللي
+
+292
+00:23:28,580 --> 00:23:32,780
+انت حطيتها دي تمام فانا بجيب علقة عامة فابحطش هنا
+
+293
+00:23:32,780 --> 00:23:35,960
+صفر الا اذا كنت حطيت هنا ال maximum time او ال
+
+294
+00:23:35,960 --> 00:23:40,500
+maximum time مش حاطه تمام ايش تكلمه ال DQ علي كده؟
+
+295
+00:23:41,060 --> 00:23:44,560
+من Q .. من Q maximum ل Q .. من Q small على Q
+
+296
+00:23:44,560 --> 00:23:48,160
+maximum ولا لا تمام .. وهي ايش تكامل ال DT؟ T طب
+
+297
+00:23:48,160 --> 00:23:52,620
+أصيب للعلاقة .. صحيح؟ طيب ناخد ال exponential من
+
+298
+00:23:52,620 --> 00:23:54,800
+الطرفين .. ناخد ال exponential من الطرفين .. تبص
+
+299
+00:23:54,800 --> 00:23:59,820
+المعادلة اتطلع ال Q إيش صارت؟ غير عن هذه .. هذه Q
+
+300
+00:23:59,820 --> 00:24:03,080
+maximum واحد ماقص .. هذه إيه؟ طب بيجي نتطلع .. هذا
+
+301
+00:24:03,080 --> 00:24:08,420
+ال discharging .. لما T بتساوي صفر .. جديش Q؟
+
+302
+00:24:08,420 --> 00:24:13,900
+بتساوي Q maximumولمّا T جُسده مالنهاية، سفر، إذا
+
+303
+00:24:13,900 --> 00:24:17,440
+هذي بناسب للـ Discharging، و هذي بتناسب للـ
+
+304
+00:24:17,440 --> 00:24:20,680
+Discharging كمان، مافيش تناقش، هذي Discharging و
+
+305
+00:24:20,680 --> 00:24:23,440
+هذي Discharging، فبنشوف التيار، قبل ما نشوف
+
+306
+00:24:23,440 --> 00:24:26,680
+التيار، احنا قولنا في الأول، في الـ Discharging،
+
+307
+00:24:26,680 --> 00:24:30,800
+التيار بدي كبير تبع المقارية، و Bolt هي سفر، لإنه
+
+308
+00:24:30,800 --> 00:24:35,480
+بصير فيه تياران من غباهمهنا ببدأ كبير وبنتهي سفر
+
+309
+00:24:35,480 --> 00:24:39,240
+لأنه فضل كبس اطار، انت تتوقع انه يكون نفس الصيغة
+
+310
+00:24:39,240 --> 00:24:42,580
+ولا لا؟ نفس الصيغة، لأنه في الحلقين ببدأ كبير
+
+311
+00:24:42,580 --> 00:24:46,600
+وبالاخر ببدأ سفر، وإن كان ليه سواء سفر بالسبب
+
+312
+00:24:46,600 --> 00:24:49,460
+بختلف، هنا سواء سفر لان الطيارين لغوا بعض، هنا
+
+313
+00:24:49,460 --> 00:24:53,620
+سواء سفر لأنه المنكبطر الوحيد، البعد الطيارة خلص
+
+314
+00:24:53,620 --> 00:24:57,780
+fully، مابقالش عنده شحناتنقدر نستحق نشوف هى اللى
+
+315
+00:24:57,780 --> 00:25:00,920
+بتطلع صح و لا كام دى D في I دالي the current in
+
+316
+00:25:00,920 --> 00:25:03,440
+the rate of decrease of a charge ماهو I بالساعة و
+
+317
+00:25:03,440 --> 00:25:08,460
+ساعة D فيه و على D تاوى اعملناها فاضل فاضل طب و
+
+318
+00:25:08,460 --> 00:25:11,080
+لما فاضل ايه اخف لأ بلاش انا انا فاضل على دربة
+
+319
+00:25:11,080 --> 00:25:15,200
+واحدة يالا انا فاضل عشانها تصير I ايه الشيء اللى
+
+320
+00:25:15,200 --> 00:25:18,820
+لما فاضل يعني مش فيه سالق و هنا فيه سالق اذا صار
+
+321
+00:25:18,820 --> 00:25:22,980
+بالسالق U Maxima على RC ايه تبقى من ناقص T على K
+
+322
+00:25:23,880 --> 00:25:31,440
+بنلتها طب كي مكسيما مش هي epsilon في C قبلناها طيب
+
+323
+00:25:31,440 --> 00:25:39,400
+C مع C شهر طيب إيه هذي ايه ايه طبعا إذا طلعت لنا
+
+324
+00:25:39,400 --> 00:25:48,160
+كتاب تضع بواحدة هنا نفس هذي ولا لأ نفس هذي و هذا
+
+325
+00:25:48,160 --> 00:25:52,760
+المنطق ان نفس ال behavior نفس التصرف في التيار
+
+326
+00:25:55,270 --> 00:25:59,230
+أحلنا مثال .. طب على المثال تبقى الكتاب شوية مش
+
+327
+00:25:59,230 --> 00:26:05,370
+كتير فيه أفكار مجرد شغل رياضي بيقول لي a 8 x 5
+
+328
+00:26:05,370 --> 00:26:09,670
+kilo ohm resistor and a 5 micro farad capacitor
+
+329
+00:26:09,670 --> 00:26:13,610
+are connected in series with a 12 battery ده قائمة
+
+330
+00:26:13,610 --> 00:26:17,430
+بسيطة جايتها و دايما احنا في الأسلة بنجيب دواية
+
+331
+00:26:17,430 --> 00:26:22,190
+سهلةإلا يمكن في أسلة البطل بال choice ممكن واحد
+
+332
+00:26:22,190 --> 00:26:25,690
+يجيب شغل أزهير لكن في أسلة الحال وال RC شوية إلها
+
+333
+00:26:25,690 --> 00:26:30,350
+وزن في الامتحانات لأنه تعتبر هي الشغل الجديدة
+
+334
+00:26:30,350 --> 00:26:35,210
+بتميز توجيهي عنكم فاحنا نعتبر التوازي 6 منه في
+
+335
+00:26:35,210 --> 00:26:40,350
+التوجيهيةوفي الثانوية وكيرشوف شغلاته بسيطة فبتكون
+
+336
+00:26:40,350 --> 00:26:44,590
+ال RC هي الشغلة اللي محل الذات لإن طبعا ال RC
+
+337
+00:26:44,590 --> 00:26:48,690
+كيرشوف جواها شباب وبالتالي انا لما أجيب سؤال RC
+
+338
+00:26:48,690 --> 00:26:53,330
+بقدر أسأل على كيرشوف جوا فتعتبر من الشغلات المهمة
+
+339
+00:26:53,700 --> 00:26:57,520
+يقول لي عندي دي ادراجية 8 to power 5 kilo oh are
+
+340
+00:26:57,520 --> 00:27:00,160
+connected in series with a 12 battery as shown the
+
+341
+00:27:00,160 --> 00:27:03,000
+capacitor is initially uncharged يقول الكبسيطر كان
+
+342
+00:27:03,000 --> 00:27:07,180
+فاضي and the switch S is closed at T بسرعه سبب لما
+
+343
+00:27:07,180 --> 00:27:10,160
+سكّن مفتاح انا ببدأ يشحن مكتف ولا لأ؟ ببدأ يشحن
+
+344
+00:27:10,160 --> 00:27:12,520
+ايش بده ال time؟ يقول لي find the time constants
+
+345
+00:27:12,520 --> 00:27:16,800
+of the circuit طب ال time مش هي RC؟ RC طب هي RC و
+
+346
+00:27:16,800 --> 00:27:18,940
+هذي و هذي C اذا انا بدي اشتغل ولا ال calculator
+
+347
+00:27:18,940 --> 00:27:19,740
+بدي اشتغل؟
+
+348
+00:27:35,740 --> 00:27:41,860
+ماذا إذا كان الوقت اللي يتطلب ان تدرب الوضع؟to it
+
+349
+00:27:41,860 --> 00:27:44,960
+to have its initial value مش احنا فاهمين ان الطيار
+
+350
+00:27:44,960 --> 00:27:48,220
+بيبدى عالي و بيبدى ينزل شباب بيقولى بعد اكم ثانية
+
+351
+00:27:48,220 --> 00:27:52,960
+الطيار بينزل نص قيمته يعنيش المعطى عندى انه I
+
+352
+00:27:52,960 --> 00:27:57,980
+بيسوي I not ع 2 لما I بيسوي I not ع 2 جديش T بديه
+
+353
+00:27:57,980 --> 00:28:03,080
+T هي العراقة بضحك بدل I I not ع 2 و اطلع T و كله
+
+354
+00:28:03,080 --> 00:28:09,080
+معروف تمامبقول لـ C .. After being closed for a
+
+355
+00:28:09,080 --> 00:28:12,620
+long time .. بعد ما انطلعت تمام تمام فكته من
+
+356
+00:28:12,620 --> 00:28:16,400
+البطارية و بدأت أفرغ فيه .. لما بدأت أفرغ .. ايش
+
+357
+00:28:16,400 --> 00:28:20,900
+اللي بدو ينقص الان؟ بدو ينقص Q و الطيار .. او ايش
+
+358
+00:28:20,900 --> 00:28:23,760
+ببقوا الطيار؟ مبدوش ايه الطيار؟ جالك انت اشتغلت
+
+359
+00:28:23,760 --> 00:28:27,780
+هناك .. What is the time required for the charge
+
+360
+00:28:27,780 --> 00:28:32,780
+and for the energy؟ الكباسيتر ايه له energy؟ خفظين
+
+361
+00:28:32,780 --> 00:28:39,230
+قانونها؟أو Q تربيع 2C صحيح زي القانونrequired for
+
+362
+00:28:39,230 --> 00:28:42,770
+the charge and for the energy to decrease to one
+
+363
+00:28:42,770 --> 00:28:48,230
+fourth their maximum value جديش الزمن اللازم عشان
+
+364
+00:28:48,230 --> 00:28:52,050
+ال Q تصير Q maximum على أربعة و ال U تساوي U
+
+365
+00:28:52,050 --> 00:28:56,430
+maximum على أربعة برضه شغلات mathematical تمام
+
+366
+00:28:56,430 --> 00:28:58,870
+بالنسبة لل A زى ما حكينا هذا شغل ال calculator
+
+367
+00:28:58,870 --> 00:29:02,930
+تقوم تساوي R في C و طلعت أربعة second
+
+368
+00:29:13,970 --> 00:29:18,990
+Q مكسمة في دائرتي بتساوي C في VC هو هاي القرون
+
+369
+00:29:18,990 --> 00:29:19,310
+يعنى
+
+370
+00:29:25,160 --> 00:29:28,340
+الـ Capacitor فدائما فرق جوهر بين طرفين الـ
+
+371
+00:29:28,340 --> 00:29:32,900
+Capacitor بساوي فرق جوهر بين طرفين البطارية لأ عصب
+
+372
+00:29:32,900 --> 00:29:37,320
+الدائرة حتى لما يشحن مش دائما فقط لما يكون عندك
+
+373
+00:29:37,320 --> 00:29:40,340
+الدائرة فيها loop واحدة لما يكون فيها multi loops
+
+374
+00:29:40,340 --> 00:29:43,900
+هذا كلام مبقفل صحيح يعني كم بدأ اشتغل انا بقول
+
+375
+00:29:43,900 --> 00:29:48,760
+ببسيطة بتشتغل بسهولة نرجع لدائرتي هي دائرتك انت
+
+376
+00:29:48,760 --> 00:29:54,840
+بتقول Q maximum شباب عند اي سنة بيقتمعندى المنا
+
+377
+00:29:54,840 --> 00:29:59,020
+نهاية طبعا يعني بكرا لما أقولك اوى دى q maximum
+
+378
+00:29:59,020 --> 00:30:02,080
+ماتقولليش عند اى زمان بديتى سفر براتبه لنهاية بكون
+
+379
+00:30:02,080 --> 00:30:05,020
+ضمنيا انت بيساوي سفر معقول يكون فيه maximum طيب
+
+380
+00:30:05,020 --> 00:30:09,880
+لما يكون شباب عندي أنا هدى بسكرة كده عامله كده بس
+
+381
+00:30:09,880 --> 00:30:15,060
+يطلع انتي بتساوي منه نهاية بتساوي open circuit
+
+382
+00:30:15,060 --> 00:30:19,280
+يعني في تيار فش تيار طيب يلا طبقولي كرش فلوه
+
+383
+00:30:19,280 --> 00:30:21,680
+وديبولي فرق ديوت بين نقطين a وb ابدوا من a وروحوا
+
+384
+00:30:21,680 --> 00:30:27,970
+على bلأن الحياة دي بتموح معاه، لكن فيها تجارب،
+
+385
+00:30:27,970 --> 00:30:31,430
+موحك، بالتالي بيبقى اللي غيرش اللي هذهلكن في بعض
+
+386
+00:30:31,430 --> 00:30:33,790
+ال loops اللي عندي هشيبها، هذا كلام ماتتحققش،
+
+387
+00:30:33,790 --> 00:30:36,830
+بيكون فيه شغلات تانية، إذا من هنا لما أشتغل بقول
+
+388
+00:30:36,830 --> 00:30:39,630
+فرق الجهد أنا ماشي هنا عبارة عن I في تمانية و I
+
+389
+00:30:39,630 --> 00:30:41,790
+بالثلاثة ثمانية اللي قبلنا سهل عليها، بيطلع عندي
+
+390
+00:30:41,790 --> 00:30:44,690
+اتناشت من سلب ولا موجة، مش خضية، لأن Vc دايما
+
+391
+00:30:44,690 --> 00:30:48,070
+بناخدها absolute value، بطلها، إذا في هذه الدائرة
+
+392
+00:30:48,070 --> 00:30:52,210
+فرق الجهد بين طرفي الكباسيتر بيسوي فرق الجهد بين
+
+393
+00:30:52,210 --> 00:30:57,760
+البطارية، حالة خاصة عشانها loop واحدةأنتي بصور من
+
+394
+00:30:57,760 --> 00:31:02,900
+النهاية كيف عمل كده ستار؟ open circuit لإن لو مش
+
+395
+00:31:02,900 --> 00:31:06,480
+open circuit يعني أنتوا في طيار صح؟ ساعتها الطيار
+
+396
+00:31:06,480 --> 00:31:09,720
+يكون في I في R لكن أنا مش موجود عندك
+
+397
+00:31:12,450 --> 00:31:16,530
+إذا هنا Vc أخدته إبسلون كحلقة أصلا و طلعت الجواب
+
+398
+00:31:16,530 --> 00:31:20,950
+ستين مايكرو كيلو انتي بتساوي سفر الان بده I NOT
+
+399
+00:31:20,950 --> 00:31:25,070
+شباب I NOT بقولك I NOT انتي بتساوي سفر كده عالي
+
+400
+00:31:25,070 --> 00:31:28,130
+الcapacitor short circuit ميخلش عندك إلا بطارية و
+
+401
+00:31:28,130 --> 00:31:31,310
+مقاومة إذا الطيار بيساوي بطارية على المقاومة
+
+402
+00:31:31,310 --> 00:31:38,720
+بيطلحها فإبسلون على R و طلعت 15 مايكرو أمبيرالان
+
+403
+00:31:38,720 --> 00:31:44,940
+بيقول لجديش الزمن اللازم عشان الطيار ينزل نص قنطه
+
+404
+00:31:44,940 --> 00:31:50,340
+الأولية سهلة هي العلاقة substituting for I بيساوي
+
+405
+00:31:50,340 --> 00:31:53,100
+have I not هذا المعطر
+
+406
+00:31:56,890 --> 00:32:01,850
+عشان اطلع الزمن ايه بتاخد؟ لن النص سالب ولا موجة؟
+
+407
+00:32:01,850 --> 00:32:07,630
+سالب، بظبط، سالب من الاتنين وإلا بيقولوا ان أنا
+
+408
+00:32:07,630 --> 00:32:10,250
+سالب، بيطلع الزمن سالب، مشكلة لكن الحمد لله ان ال
+
+409
+00:32:10,250 --> 00:32:13,750
+calculator هطلق ليه سالب أصلا عني يعني، وبالتالي
+
+410
+00:32:13,750 --> 00:32:18,790
+لن النص بيستوي سالب T على RC وبيطلع T بيستوي سالب
+
+411
+00:32:18,790 --> 00:32:22,410
+RC في لن النص و لن النص سالب طلعت 2.8 second، اذا
+
+412
+00:32:22,410 --> 00:32:27,340
+بعد 2.8 secondالتيار اللى كان خمستاشر مايكرو أمبير
+
+413
+00:32:27,340 --> 00:32:31,140
+صار سبعة و نص صح ولا لأ صار سبعة و نص قل الله ننزل
+
+414
+00:32:31,140 --> 00:32:33,620
+فانتوا عارفين في الأول بيقول سريع بعدين بيبدأ
+
+415
+00:32:33,620 --> 00:32:39,340
+يتباطأ نجي لفرقة تالت بيقوللى الآن الشحنات أنا بدي
+
+416
+00:32:39,340 --> 00:32:42,560
+أفضيها هل بدي أخد قانون هادر تبع الشحنات ولا قانون
+
+417
+00:32:42,560 --> 00:32:45,600
+تبع ال dischargingالـ Discharging .. و الـ
+
+418
+00:32:45,600 --> 00:32:48,340
+Discharging بيقول Q .. Q maximum .. الـ Game هادئ
+
+419
+00:32:48,340 --> 00:32:51,560
+.. صح؟ .. إذا .. In the discharging process, the
+
+420
+00:32:51,560 --> 00:32:54,280
+charge varies with time according to .. هي علاقة
+
+421
+00:32:54,280 --> 00:32:57,060
+الـ Discharging .. بخدش الـ Discharging .. هو
+
+422
+00:32:57,060 --> 00:32:59,860
+الوضع للـ Discharging .. هذا هي .. بيقولي إيش ..
+
+423
+00:32:59,860 --> 00:33:03,340
+بيقولي قديش الزمن .. عشان كون Q بتسوى ربع Q
+
+424
+00:33:03,340 --> 00:33:06,560
+maximum .. إذا نفس القضية .. الـ Q أحطها ربع Q
+
+425
+00:33:06,560 --> 00:33:10,010
+maximum ..زي ما بده صارت ربع Q maximum بيستوي Q
+
+426
+00:33:10,010 --> 00:33:16,250
+maximum E تبارك نخص T over RC هذه صارت للربع عشان
+
+427
+00:33:16,250 --> 00:33:20,610
+اطلع حق او طلعت T بيستوي 5.5 نيجي نشوف ال energy
+
+428
+00:33:20,610 --> 00:33:24,810
+ال energy زي ما حكى زميلكم توي ان U بيستوي Q تربيع
+
+429
+00:33:24,810 --> 00:33:29,310
+اتنين C طب ما هي Q ده عشان اظهر حالي اش تربيع E
+
+430
+00:33:29,310 --> 00:33:35,790
+تبارك Xe to power x ربعوها نحن سنكون e to power x
+
+431
+00:33:35,790 --> 00:33:42,630
+ربعها بعدين 2x مخبوط ولا لأ طب سؤالي لأ هذا ال
+
+432
+00:33:42,630 --> 00:33:49,170
+function ا odd ولا even ا odd ولا even طب
+
+433
+00:33:49,170 --> 00:33:50,150
+هو الشرط اللي ا odd ولا even
+
+434
+00:34:03,460 --> 00:34:08,760
+هذا ايضا .. هذا ايضا .. لكن بدون هذا بيصيش odd ..
+
+435
+00:34:08,760 --> 00:34:12,530
+ات power x not odd .. اصلا رسمته بتبينتبعين يا
+
+436
+00:34:12,530 --> 00:34:14,910
+شباب؟ إذا ال E to the power of X is not odd, not
+
+437
+00:34:14,910 --> 00:34:16,670
+even. ال E to the power of X تبقى بيصير even على
+
+438
+00:34:16,670 --> 00:34:19,510
+طول. طبعا، كتير مهم ال even و ال odd في الشغل
+
+439
+00:34:19,510 --> 00:34:22,170
+المتقدم في الرياضيات كتير مفيد يا شباب. إنه لما
+
+440
+00:34:22,170 --> 00:34:25,550
+تعرف ان ال even و ال odd، لما يكون even بيرايحك في
+
+441
+00:34:25,550 --> 00:34:29,330
+شغلات كتيرة، في symmetry، و لما يكون odd بيرايحك،
+
+442
+00:34:29,330 --> 00:34:33,410
+بتطلع نتيجته سفر مرات. لما يكون من ناقص A لA، و ال
+
+443
+00:34:33,410 --> 00:34:36,730
+function odd، بتكمل و بتغلب حالة. و كتير كانوا
+
+444
+00:34:36,730 --> 00:34:39,090
+يعطونا أيام مرات في امتحانات زي هيك، تفكّروا أن
+
+445
+00:34:39,090 --> 00:34:42,740
+الكون تقوم بيخوف.و يبقى حكي بدا كامره من نقص a ل a
+
+446
+00:34:42,740 --> 00:34:45,380
+لكن انت تطلع عليه جوا تكون odd تحط بساوي بساوي سفر
+
+447
+00:34:45,380 --> 00:34:49,020
+و خلاص بتضيع حالك واحد قاعدة في الmath بتبتدعي
+
+448
+00:34:49,020 --> 00:34:53,100
+بتضيع و بالتالي كلمة even و odd بناخدها عادية لكن
+
+449
+00:34:53,100 --> 00:34:59,310
+يبنع عليها شغلات كتير مهمة ربعت هذهطلعت هى عادى
+
+450
+00:34:59,310 --> 00:35:02,210
+بعد كده بقولتلكم ان هذا مثال مجرد calculus
+
+451
+00:35:02,210 --> 00:35:06,630
+substituting for u as u equal one fourth of u
+
+452
+00:35:06,630 --> 00:35:11,450
+maximum وابت عليها وطلعت النتيجة 2.8 second مافيش
+
+453
+00:35:11,450 --> 00:35:12,290
+مشكلة
+
+454
+00:35:14,990 --> 00:35:17,990
+الحلولة كمان مثال انا جايبه من برا هذا extra اظن
+
+455
+00:35:17,990 --> 00:35:20,870
+احد أسلك امتحان والله اعلم لان انا طلعت على الكتاب
+
+456
+00:35:20,870 --> 00:35:23,810
+اللي دي مش موجود فانا اقول اني جايبه من أحد أسلك
+
+457
+00:35:23,810 --> 00:35:28,030
+الامتحانات السابقة في أسلك الكتاب شوية موجودة و
+
+458
+00:35:28,030 --> 00:35:31,950
+حلوة برضه بخصوص ال RC في أكتر من السؤال مقلوب انكم
+
+459
+00:35:31,950 --> 00:35:36,610
+تحلوه اش مقولي؟ شوف هالدعرة؟ هالدعرة قنوك فيها
+
+460
+00:35:36,610 --> 00:35:41,210
+شباب تلات الوصف وبالتالي لما يمكن يكفيالـ C لا
+
+461
+00:35:41,210 --> 00:35:45,450
+تسوي 32 V يا عزيزي لما ينتهي المكثف الـ C لا تسوي
+
+462
+00:35:45,450 --> 00:35:49,390
+32 V لأن في عندي أكتر شغلة في عندي الأربعة مربوطة
+
+463
+00:35:49,390 --> 00:35:53,690
+فيها الأربعة واضح؟ عندنا بنشوف واحدة واحدة كيف
+
+464
+00:35:53,690 --> 00:35:57,230
+نتعامل معاه نقول في الـ circuit شوان الكمبيوتر في
+
+465
+00:35:57,230 --> 00:36:00,670
+البداية مغلق ومفتاح الكمبيوتر مغلق ومفتاح
+
+466
+00:36:00,670 --> 00:36:02,350
+الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح
+
+467
+00:36:02,350 --> 00:36:03,070
+الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح
+
+468
+00:36:03,070 --> 00:36:04,270
+الكمبيوتر مغلق ومفتاح الكمبيوتر مغلق ومفتاح
+
+469
+00:36:04,270 --> 00:36:09,220
+الكمبيوتر مغلق ومفتFind the current in each branch
+
+470
+00:36:09,220 --> 00:36:11,540
+of the circuit at t بتساوي سفر .. شو بتطيعه وين
+
+471
+00:36:11,540 --> 00:36:14,200
+بدهو يا شباب؟ .. at t بتساوي سفر .. بديش تطيعه
+
+472
+00:36:14,200 --> 00:36:17,460
+بسلطة إجمالية .. بديه بس زمن معين .. at t بتساوي
+
+473
+00:36:17,460 --> 00:36:20,460
+سفر .. عشان كيف أعاني المكثف .. short .. short ..
+
+474
+00:36:20,460 --> 00:36:20,820
+short .. short .. short .. short .. short .. short
+
+475
+00:36:20,820 --> 00:36:21,120
+.. short .. short .. short .. short .. short ..
+
+476
+00:36:21,120 --> 00:36:21,480
+short .. short .. short .. short .. short .. short
+
+477
+00:36:21,480 --> 00:36:21,860
+.. short .. short .. short .. short .. short ..
+
+478
+00:36:21,860 --> 00:36:21,860
+short .. short .. short .. short .. short .. short
+
+479
+00:36:21,860 --> 00:36:21,900
+.. short .. short .. short .. short .. short ..
+
+480
+00:36:21,900 --> 00:36:21,900
+short .. short .. short .. short .. short .. short
+
+481
+00:36:21,900 --> 00:36:22,040
+.. short .. short .. short .. short .. short ..
+
+482
+00:36:22,040 --> 00:36:22,040
+short .. short .. short .. short .. short .. short
+
+483
+00:36:22,040 --> 00:36:22,040
+.. short .. short .. short .. short .. short ..
+
+484
+00:36:22,040 --> 00:36:32,620
+short .. short .. short .. short ..calculate the
+
+485
+00:36:32,620 --> 00:36:35,120
+maximum charge on the capacitor ايش الخطأ اللى
+
+486
+00:36:35,120 --> 00:36:38,060
+جانى بيصير عند الشباب او عند الطلبة بصوره اجمالية
+
+487
+00:36:38,060 --> 00:36:42,140
+انا بقولك ال charge على حد طبعا اللى بيكون مجرد ما
+
+488
+00:36:42,140 --> 00:36:45,140
+بيخش على امتحان حافظ القوانين ومشي عنده قانون في
+
+489
+00:36:45,140 --> 00:36:48,360
+الكتاب ولا في الدكتور بيقول C في إبسنان هذا مش
+
+490
+00:36:48,360 --> 00:36:52,240
+قانون هذا قانون في دائرة معينة بيقولك هاي هال 32
+
+491
+00:36:52,240 --> 00:36:55,400
+وهذه كانت معاشرة ب 32 فاطلعش وقال كف الله
+
+492
+00:36:55,400 --> 00:37:01,200
+والمؤمنين على قتالك بطلع غلطلأن هنا أصلا هادي كان
+
+493
+00:37:01,200 --> 00:37:06,340
+Vc وفي ديانة المعاملة Vc بتساوي إفسلون تمام؟ إذا
+
+494
+00:37:06,340 --> 00:37:09,520
+أنا مطلوب مني عشان أجيب هادي، بدي أجيب فرقة جوهر
+
+495
+00:37:09,520 --> 00:37:12,760
+بالترافير المكثف، بعدين أعظمها في إيش، فطلعت شخص
+
+496
+00:37:12,760 --> 00:37:16,560
+ما يكوف وراك، واضح؟ أما .. هاي فرقة جوهر بالترافير
+
+497
+00:37:16,560 --> 00:37:21,820
+المكثف بتساوي 32 volt؟ لأطبعا خلّيني أشوف اذا انا
+
+498
+00:37:21,820 --> 00:37:24,920
+اجهز الحرارة في كل جزء من حرارة T بساوة صفر و
+
+499
+00:37:24,920 --> 00:37:30,060
+اتخيل حرارة كبسيطار على حرارة كبسيطار عشان اجيب
+
+500
+00:37:30,060 --> 00:37:30,700
+الحرارة عشان اجيب الحرارة عشان اجيب الحرارة عشان
+
+501
+00:37:30,700 --> 00:37:32,500
+اجيب الحرارة عن T بساوة صفر ولا عن T بساوة من
+
+502
+00:37:32,500 --> 00:37:35,820
+النهاية عن T بساوة من النهاية تمام؟ وبالتالي
+
+503
+00:37:35,820 --> 00:37:39,140
+التيارات اللي بجيبهم هنا بقدر استخدمهم هنا؟ لأ لأن
+
+504
+00:37:39,140 --> 00:37:42,300
+هذه التيارات عن زمن معين زمنها بتتغير وتيارة انا
+
+505
+00:37:42,300 --> 00:37:44,920
+بعرف انه بتتغير جاعد التيارة عن T بساوة صفر
+
+506
+00:37:47,850 --> 00:37:50,810
+سنوش و كده هي هذه السؤال دي القاعدتين اللي أخدتهم
+
+507
+00:37:50,810 --> 00:37:56,510
+أنا بقول ال T بتساوي سفر the capacitor acts as a
+
+508
+00:37:56,510 --> 00:37:59,130
+short circuit إيش أسوي؟ قولتوا عشان برضه ما
+
+509
+00:37:59,130 --> 00:38:03,950
+تخربطوش اعملوها ع الرسمة جيه أعملوها زي هيك شوفتوا
+
+510
+00:38:03,950 --> 00:38:07,130
+دي خط الأزرق إيه صار فيه؟ طب لما حاطيتنا الخط
+
+511
+00:38:07,130 --> 00:38:12,210
+الأزرق هذا عشان بس يبين عنكم بيان؟
+
+512
+00:38:12,210 --> 00:38:18,560
+سكرته التغري ال capacitor في الأولالكبستر ارتغى
+
+513
+00:38:18,560 --> 00:38:24,840
+هجيه سبت الأرض عقوم اتوصل بترقبينها سيليك ارتغى
+
+514
+00:38:24,840 --> 00:38:27,720
+تلقى عشرين ساعة هذه نفسي انا ماجيش حبالي فى
+
+515
+00:38:27,720 --> 00:38:31,760
+الامتحان بقول خليني اطبخ كرشو فى التانى هذى loop و
+
+516
+00:38:31,760 --> 00:38:37,420
+لا مش loop اكام عنصر فيها الكبستر ارتغى ايش هي
+
+517
+00:38:37,420 --> 00:38:42,080
+اكام عنصر ضد واحد يلا نشتغل عليها اربعة اية اتنين
+
+518
+00:38:42,080 --> 00:38:47,070
+كدهش اية اتنينهو مقاوم او اتفاد اذا ماعرفت انه
+
+519
+00:38:47,070 --> 00:38:50,250
+مقاوم او اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا
+
+520
+00:38:50,250 --> 00:38:52,350
+ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه مقاوم او
+
+521
+00:38:52,350 --> 00:38:55,690
+اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه
+
+522
+00:38:55,690 --> 00:38:56,850
+مقاوم او اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا
+
+523
+00:38:56,850 --> 00:38:58,650
+ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه مقاوم او
+
+524
+00:38:58,650 --> 00:39:04,730
+اتفاد اذا ماعرفت انه مقاوم او اتفاد اذا ماعرفت انه
+
+525
+00:39:04,730 --> 00:39:10,030
+مقاوم او اتفاد اذا ماعرفت انه مقاوم اوأي 2 بيساوي
+
+526
+00:39:10,030 --> 00:39:13,770
+صفر هيها إيش داروا أي واحد و أي تلاتة نفسهم صاروا؟
+
+527
+00:39:13,770 --> 00:39:20,530
+و إيش بيساوي؟ 32 على 6 صح ولا لأ؟ 32 على 6 تلعت 5
+
+528
+00:39:20,530 --> 00:39:23,370
+.3 أمبير حلو؟
+
+529
+00:39:25,380 --> 00:39:28,300
+هي اول مقبوط، بدوا الطيارات، طلعت الطيارات، واحدة
+
+530
+00:39:28,300 --> 00:39:31,500
+منهم طلعت صفر والتانين زي بعض، وطلعوا بها الصيغة
+
+531
+00:39:31,500 --> 00:39:36,320
+فجيت بقوللي، رجعنا، the maximum charge is attained
+
+532
+00:39:36,320 --> 00:39:39,300
+after a long time، هذه معلومة لازم تكون معناها،
+
+533
+00:39:39,300 --> 00:39:42,180
+انت عارفها، بيقولك maximum charge إذا معناته وقت T
+
+534
+00:39:42,180 --> 00:39:45,720
+goes to ملا نهاية تمام، at this time, the
+
+535
+00:39:45,720 --> 00:39:49,380
+capacitor is treated as if it were an open switch،
+
+536
+00:39:49,380 --> 00:39:53,890
+هذه المعلومة اللي بتعرفها، طب هي open switchلو
+
+537
+00:39:53,890 --> 00:39:56,690
+انكبست الرأي شباك في الدائرة، من يقول يجديش I
+
+538
+00:39:56,690 --> 00:39:59,730
+ثلاثة؟
+
+539
+00:39:59,730 --> 00:40:04,710
+I ثلاثة يظلو بواحدة بظلو بواحدة معناته I اتنين و I
+
+540
+00:40:04,710 --> 00:40:10,110
+واحد زي بعضه ولا لا مديش بيساوم 32 تلاتين على عشرة
+
+541
+00:40:11,600 --> 00:40:16,280
+فالطيارات اختلفت مثلا كانت I2 و I3 I1 و I3 بيساوي
+
+542
+00:40:16,280 --> 00:40:21,740
+كذا و I2 صرف و I3 هي الصفر إذا الطيارات بتتغير من
+
+543
+00:40:21,740 --> 00:40:25,720
+زمن لزمن و هذا اللي هنعرفه بيقول I3 equal to 0
+
+544
+00:40:25,720 --> 00:40:29,300
+لإنها open circuit ال capacitor open circuit
+
+545
+00:40:29,300 --> 00:40:32,380
+اتعامل مع الcapacitor عندي بيساومني نهاية انه شبك
+
+546
+00:40:32,380 --> 00:40:37,450
+فتحة في الجائعة معناته هنا مافيش طيار خلاصطب انا
+
+547
+00:40:37,450 --> 00:40:40,350
+الباطخ اللى .. اللى رجع منه انه هنا فى طيار بشحن
+
+548
+00:40:40,350 --> 00:40:43,050
+وكان فى طيار بعاكس تبع ال capacitor فبلغوا بعض هي
+
+549
+00:40:43,050 --> 00:40:47,210
+دى ال branch بس فهذا الأساس صار تلقى و I2 بيساوي
+
+550
+00:40:47,210 --> 00:40:52,470
+I3 بيساوي 32 عشرة 3.2 امبير الان انا بديش تييرات
+
+551
+00:40:52,470 --> 00:40:57,630
+بدي شحنات على ال capacitor عشان يجيب الشحنات بيجيب
+
+552
+00:40:57,630 --> 00:41:02,570
+الجهود الجهود .. الجهود انا بخبط دايما الطلاب عشان
+
+553
+00:41:02,570 --> 00:41:05,250
+ما يخبطوش في دوايا الجامعة نكون معقدة بيقول خلاص
+
+554
+00:41:05,250 --> 00:41:10,310
+هي ايه بيه؟هجيب مش VAB هي فرق الجود بين ثلاثين
+
+555
+00:41:10,310 --> 00:41:13,250
+مكثف و أنا بتعلم ان كيف اجيب فرق الجود بين نقطتين
+
+556
+00:41:13,250 --> 00:41:16,250
+بدي من نقطة و روح عن نقطة تانية مظبوط ولا لأ هجيب
+
+557
+00:41:16,250 --> 00:41:18,950
+بدي اجيب من نقطة و روح عن نقطة تانية لأ ماشي هيك
+
+558
+00:41:18,950 --> 00:41:23,330
+لأ ماشي هيك صح او لأ فالعكس بدي نفسي جواب خلينا
+
+559
+00:41:23,330 --> 00:41:26,310
+نمشي هيك سهلا مش هيك ماشي انا عندي أربعة في آية
+
+560
+00:41:26,310 --> 00:41:29,950
+اتنين و خرط أربعة في آية اتنين طب معظمنا هنا في
+
+561
+00:41:29,950 --> 00:41:32,010
+خطأ مصبعي هذه واحدة
+
+562
+00:41:36,430 --> 00:41:39,850
+ثم اذا ضمن وجود فرق الجهد بالترفيه المكثف هو فرق
+
+563
+00:41:39,850 --> 00:41:44,330
+الجهد بالترفيه الاربعة او بسعة اتنين وتلاتين ناقص
+
+564
+00:41:44,330 --> 00:41:50,050
+ستة اي واحد صحيح؟ المهم لتخطيط الشحن على الكباسيتر
+
+565
+00:41:50,050 --> 00:41:55,010
+نريد فقط أن نجد الاختلاف الوطني عبره عشان أجيب
+
+566
+00:41:55,010 --> 00:42:01,550
+الشحنة لأن الشحنة بتثور C في Vوهذه بتنزيلها جيبت
+
+567
+00:42:01,550 --> 00:42:05,090
+هذه طلبت هذه لإيصال معطل زي ما بتكون اذا انا بقول
+
+568
+00:42:05,090 --> 00:42:08,970
+مني اجيب فرق جود من طرفيه المكفف عشان اجيب فرق جود
+
+569
+00:42:08,970 --> 00:42:09,830
+من طرفيه المكفف
+
+570
+00:42:30,380 --> 00:42:37,980
+بالتالي U بيصيح C فى V وطلعتها بيصيح 1.5 x 10⁻⁴ ¼
+
+571
+00:42:37,980 --> 00:42:47,580
+كل يوم تمام هيك بيكون أجمعنا هذا ال chapter ل quiz
+
+572
+00:42:47,580 --> 00:42:51,720
+تبع وحيد ده اليوم و هينتهي يوم التلاتة اللى وراه
+
+573
+00:42:52,390 --> 00:42:56,750
+سبوع كامل بينا ناخد بقى الاعتبار مشكلة الكهربا و
+
+574
+00:42:56,750 --> 00:43:02,790
+ال .. و ال net و ال .. و الساعات طب
+
+575
+00:43:02,790 --> 00:43:05,670
+مانيحي اذا كتبت .. معاكم فيه television عندك؟
+
+576
+00:43:05,670 --> 00:43:11,370
+هتبقى في الأفلام؟ مين الكهربا عندك؟ تمام اكمل انهي
+
+577
+00:43:11,370 --> 00:43:12,210
+هذه المحاضرة
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a9593b372ba220ee93e05b512f7ae72ff1afd03c
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aLrD3oyymJo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2218, "start": 10.22, "end": 22.18, "text": "تمام نبدأ ال chapter العاشر بسم الله الرحمن الرحيم وعنوانه ال inductance وهو تابع لل chapter اللي جابله مباشرة في بعض الكتب بحطوهم في chapter واحد ال inductance", "tokens": [39237, 10943, 8717, 44510, 10721, 2423, 7187, 18863, 33599, 2288, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 4032, 3615, 1863, 2407, 7649, 3224, 2423, 31612, 719, 37037, 2407, 6055, 16758, 3615, 24976, 7187, 13672, 1829, 10874, 16758, 43761, 3714, 3555, 33599, 25720, 8978, 45030, 11242, 33251, 2655, 3555, 4724, 5016, 9566, 2407, 16095, 8978, 7187, 36764, 24401, 2423, 31612, 719], "avg_logprob": -0.1747271882163154, "compression_ratio": 1.6363636363636365, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 10.219999999999999, "end": 10.9, "word": "تمام", "probability": 0.538177490234375}, {"start": 10.9, "end": 11.24, "word": " نبدأ", "probability": 0.8766276041666666}, {"start": 11.24, "end": 11.32, "word": " 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{"id": 17, "seek": 39677, "start": 383.89, "end": 396.77, "text": "إذا كان الـ MF اندوز في مدارس بسبب تغيير مجلد المجلد المجلدي مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد", "tokens": [28814, 15730, 25961, 2423, 39184, 376, 37, 16472, 3215, 2407, 11622, 8978, 3714, 3215, 9640, 3794, 4724, 35457, 3555, 6055, 17082, 1829, 13546, 3714, 7435, 1211, 3215, 9673, 7435, 1211, 3215, 9673, 7435, 1211, 3215, 1829, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 3215, 3714, 7435, 1211, 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قانون إليه الـ self inductance لكي نحصل على تسمية عملية من الاندوكتانيين نعرفه من فردايزلو ارجع لقول قوانينك الأولية بقولي فردايزلو إيش بقولك؟", "tokens": [28814, 15730, 25961, 2655, 6225, 1863, 5172, 5551, 3215, 2407, 3660, 8978, 11331, 31747, 3660, 4724, 35457, 3555, 6055, 17082, 1829, 13546, 2423, 3224, 2407, 16606, 9673, 17082, 1863, 41193, 1829, 4117, 1829, 7251, 7435, 1211, 3794, 15844, 11331, 31747, 3660, 5551, 34740, 7578, 5296, 16254, 8315, 2423, 7649, 3215, 2407, 4117, 2655, 7649, 1829, 9957, 9673, 2655, 3615, 10943, 1211, 9957, 46811, 10943, 5296, 4117, 1829, 8717, 5016, 36520, 15844, 4386, 8032, 7435, 1829, 8592, 4724, 39648, 1829, 23758, 9673, 2655, 3615, 10943, 1211, 9957, 16247, 7435, 1211, 11296, 4724, 16254, 6024, 48506, 5551, 7435, 1829, 3555, 12174, 7649, 11536, 11933, 20292, 3224, 2423, 39184, 2698, 31612, 719, 5296, 4117, 1829, 8717, 5016, 36520, 15844, 6055, 38251, 10632, 6225, 2304, 20292, 3660, 9154, 2423, 7649, 3215, 2407, 4117, 2655, 7649, 1829, 9957, 8717, 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2423, 3224, 1863, 7435, 3794, 10632, 24976, 22225, 37893, 1975, 4117, 2655, 2288], "avg_logprob": -0.23739919867566836, "compression_ratio": 1.723756906077348, "no_speech_prob": 5.960464477539062e-07, "words": [{"start": 838.74, "end": 839.02, "word": "هذا", "probability": 0.6796875}, {"start": 839.02, "end": 839.3, "word": " هيك", "probability": 0.36773681640625}, {"start": 839.3, "end": 839.5, "word": " بس", "probability": 0.93603515625}, {"start": 839.5, "end": 840.32, "word": " مجرد", "probability": 0.91015625}, {"start": 840.32, "end": 840.42, "word": " ان", "probability": 0.470947265625}, {"start": 840.42, "end": 840.64, "word": " كيف", "probability": 0.7083740234375}, {"start": 840.64, "end": 840.78, "word": " انا", "probability": 0.909912109375}, {"start": 840.78, "end": 840.96, "word": " بدي", "probability": 0.64892578125}, {"start": 840.96, "end": 841.34, "word": " اجيب", "probability": 0.9375}, {"start": 841.34, "end": 841.54, "word": " ال", "probability": 0.576171875}, {"start": 841.54, "end": 841.94, "word": " اى", "probability": 0.4937744140625}, {"start": 841.94, "end": 842.36, "word": " ملف", "probability": 0.9658203125}, {"start": 842.36, "end": 842.96, "word": " طبعا", "probability": 0.926513671875}, {"start": 842.96, "end": 843.2, "word": " هذا", "probability": 0.31201171875}, {"start": 843.2, "end": 844.96, "word": " الاترويدال", "probability": 0.4666015625}, {"start": 844.96, "end": 846.26, "word": " coil", "probability": 0.72802734375}, {"start": 846.26, "end": 846.6, "word": " ممكن", "probability": 0.954833984375}, {"start": 846.6, "end": 846.76, "word": " انا", "probability": 0.704345703125}, {"start": 846.76, "end": 847.22, "word": " اجيبها", "probability": 0.9544921875}, {"start": 847.22, "end": 847.42, "word": " بس", "probability": 0.99267578125}, {"start": 847.42, "end": 847.62, "word": " برضه", "probability": 0.93798828125}, {"start": 847.62, "end": 847.76, "word": " مش", "probability": 0.9755859375}, {"start": 847.76, "end": 848.0, "word": " معنى", "probability": 0.8229166666666666}, {"start": 848.0, "end": 848.24, "word": " كتير", "probability": 0.79248046875}, {"start": 848.24, "end": 848.62, "word": " فيها", "probability": 0.9619140625}, {"start": 848.62, "end": 849.26, "word": " المهم", "probability": 0.9814453125}, {"start": 849.26, "end": 849.6, "word": " انا", "probability": 0.92578125}, {"start": 849.6, "end": 850.28, "word": " اعرف", "probability": 0.9850260416666666}, {"start": 850.28, "end": 850.52, "word": " ان", "probability": 0.95068359375}, {"start": 850.52, "end": 851.14, "word": " ال", "probability": 0.80126953125}, {"start": 851.14, "end": 852.32, "word": " تعتمد", "probability": 0.8934326171875}, {"start": 852.32, "end": 852.76, "word": " فقط", "probability": 0.99169921875}, {"start": 852.76, "end": 853.0, "word": " على", "probability": 0.8564453125}, {"start": 853.0, "end": 853.68, "word": " الخواص", "probability": 0.8478190104166666}, {"start": 853.68, "end": 854.74, "word": " الهنجسية", "probability": 0.8863932291666666}, {"start": 854.74, "end": 855.52, "word": " لل", "probability": 0.857421875}, {"start": 855.52, "end": 856.26, "word": " coil", "probability": 0.9765625}, {"start": 856.26, "end": 856.68, "word": " مش", "probability": 0.953125}, {"start": 856.68, "end": 857.18, "word": " اكتر", "probability": 0.964599609375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 857.65225, "duration_after_vad": 838.471593750001}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bac96dd1cb03ff41cdba2b88b1e1a3b2fcd117fe
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_postprocess.srt
@@ -0,0 +1,604 @@
+1
+00:00:09,940 --> 00:00:13,920
+بعد بسم الله الرحمن الرحيم نسانى فى الجزء البسيط
+
+2
+00:00:13,920 --> 00:00:18,340
+اللى ضال من الشرطة اخر حاجة شرحناها هى M pairs
+
+3
+00:00:18,340 --> 00:00:24,200
+واتفقنا ان M pairs بطبيعة القانون لا ينطبق الا على
+
+4
+00:00:24,200 --> 00:00:29,200
+تلت حالات الأسلاك الطويلة جدا لتعمل symmetry
+
+5
+00:00:30,040 --> 00:00:34,360
+السولينويد والعادية للسولينويد فقط والترويد
+
+6
+00:00:34,360 --> 00:00:39,280
+بطبيعته برضه بممكن نطبق عليه قانون amperes
+
+7
+00:00:39,280 --> 00:00:46,540
+وبالتالي بناخد closed loopبثم بي بتكون ثابت عليها
+
+8
+00:00:46,540 --> 00:00:51,440
+او التكامل كله zero بفعل الزاوية بنجيب I enclosed
+
+9
+00:00:51,440 --> 00:00:55,700
+و I enclosed اتفقنا هو التيار اللي بيخترق المساحة
+
+10
+00:00:55,700 --> 00:01:00,520
+اللي حددتها اللوب المغلقة اخر حاجة برضه عرضجني
+
+11
+00:01:00,520 --> 00:01:04,080
+عليها هي ال magnetic flux وال magnetic flux كمصطلح
+
+12
+00:01:04,080 --> 00:01:07,520
+بيشبه إلى حد كبير ال electric flux ال electric
+
+13
+00:01:07,520 --> 00:01:13,290
+flux عشان نحسبه لابد من تحديد سطح وبالتاليالذة
+
+14
+00:01:13,290 --> 00:01:17,250
+magnetic flux through a surface is defined as فاي
+
+15
+00:01:17,250 --> 00:01:21,010
+بي او فاي ام، بنعتمد عشان عندنا two فاي صاروا،
+
+16
+00:01:21,010 --> 00:01:24,710
+بنميز بين electric flux و magnetic flux، اما بحط
+
+17
+00:01:24,710 --> 00:01:29,290
+فاي اي و فاي ام او فاي اي و فاي بيبنسوي بي دوط ال
+
+18
+00:01:29,290 --> 00:01:33,170
+DA و بنتفقين إذا كانت بي ثابتة بتطلع برا، من
+
+19
+00:01:33,170 --> 00:01:36,430
+الثابتة بتخليها جوا، تمام؟ إذا من الثابتة هي
+
+20
+00:01:36,430 --> 00:01:39,870
+قانوني العام بصورة جمالية برا طلعتها برا في حالي
+
+21
+00:01:39,870 --> 00:01:43,950
+ثابتها، بتصير تكامل ال DAA و بتصير بي دوط ال A،
+
+22
+00:01:43,950 --> 00:01:47,470
+وهذا بنطلع المجلة TFLUX الوحدة عرفنا أنها Tesla
+
+23
+00:01:47,470 --> 00:01:54,780
+متر أربع .. متر square R V barتمام و الفرق ما بين
+
+24
+00:01:54,780 --> 00:01:58,400
+ال magnetic flux و ال electric flux انه للكلوز
+
+25
+00:01:58,400 --> 00:02:02,900
+surface شباب ال electric flux ممكن يكون zero و
+
+26
+00:02:02,900 --> 00:02:06,640
+ممكن يكون مش zero ال electric flux لأنه بيستوى qn
+
+27
+00:02:06,640 --> 00:02:10,700
+على اي نوت و qn ممكن يكون لها قيمة لأنه في إمكانية
+
+28
+00:02:10,700 --> 00:02:13,940
+يكون في عندي net charge ان الشحنات الموجة بتكون
+
+29
+00:02:13,940 --> 00:02:17,220
+اكتر من الشحنات السالبة او العكسفي الحياة
+
+30
+00:02:17,220 --> 00:02:21,140
+المغناطسية مش مجال يكون الأقطاب الشمالية أكتر من
+
+31
+00:02:21,140 --> 00:02:24,680
+الأقطاب الجنوبية أو العكس وبنقول since no monopole
+
+32
+00:02:24,680 --> 00:02:28,360
+can be isolated in nature we can conclude thatإن
+
+33
+00:02:28,360 --> 00:02:33,160
+5B لما يكون فيه إغلاق في التكامل النتيجة تلقائيًا
+
+34
+00:02:33,160 --> 00:02:37,620
+Zero على طول الإغلاق يعني سطح مغلق بيكون على طول و
+
+35
+00:02:37,620 --> 00:02:41,000
+التفاقرة that is the magnetic flux through any
+
+36
+00:02:41,000 --> 00:02:43,920
+closed surface is always zero لإن هذه عبارة عن
+
+37
+00:02:43,920 --> 00:02:48,540
+ورقة و الورقة جزء من متوازن مستطيلات فجزء من
+
+38
+00:02:48,540 --> 00:02:53,000
+المساحة المغلقة فهي مساحة مفتوحة بقول لي أحسبها تم
+
+39
+00:02:53,000 --> 00:02:59,350
+كيف بقول هي قانونيزي ما حكى اسمكم طويل جانيها دي
+
+40
+00:02:59,350 --> 00:03:03,330
+بي من وين جاية؟ جاية من السلك الطويل والسلك الطويل
+
+41
+00:03:03,330 --> 00:03:07,870
+حلته بقانونين بيوت أنسفارته من أنبيرج وجيبت نتيجته
+
+42
+00:03:07,870 --> 00:03:12,370
+نتيجته طبعا الأن أنا بدي أشحتها في امتحان ما بكون
+
+43
+00:03:12,370 --> 00:03:15,990
+أعطيها إليك يعني مش مفروض منك تحفظها بيها ده هي
+
+44
+00:03:15,990 --> 00:03:20,350
+with v is the magnetic field created by the wire و
+
+45
+00:03:20,350 --> 00:03:24,370
+given by هي قانونها ايها طلعتها إليك ميو نوت اي
+
+46
+00:03:24,370 --> 00:03:28,290
+اتنين بي ار جاني تطلع عليهاهل بتقدر B تطلعها برا؟
+
+47
+00:03:28,290 --> 00:03:33,310
+لأ ليش؟ لأنها تعتمد على R يا شباب إيش يعني R؟ يعني
+
+48
+00:03:33,310 --> 00:03:36,770
+هنا غير عن هنا غير عن هنا إذا معناته بي في المنطقة
+
+49
+00:03:36,770 --> 00:03:42,030
+الصفرى مثابتة تختلف من نقطة لنقطة ما زال بي is not
+
+50
+00:03:42,030 --> 00:03:45,730
+uniform بتقدرش تطلعها إذا معناته هذا بدك تكامل مع
+
+51
+00:03:45,730 --> 00:03:51,340
+التكامل بدك تكامل عشان تكامل بدك دي ايه؟بيدك دي
+
+52
+00:03:51,340 --> 00:03:57,040
+ايه دي increment جزء من ال area فبيدي جزء من ال
+
+53
+00:03:57,040 --> 00:04:01,520
+area زي ما المرأيك انا حكيت قولت هو ال default ان
+
+54
+00:04:01,520 --> 00:04:08,100
+الجزء هو هاي الجزء و اقول هنا دي x و هنا دي yهي ال
+
+55
+00:04:08,100 --> 00:04:13,460
+default لكن dx dy بيعمللي مشكلة في التكامل بيعطيني
+
+56
+00:04:13,460 --> 00:04:16,560
+double integration انا بغنى عنه لان ممكن انا اسهل
+
+57
+00:04:16,560 --> 00:04:22,480
+بقول طيب هفشلها العنصر انا ممكن اعتبرهم عصي زي هيك
+
+58
+00:04:22,480 --> 00:04:25,220
+اه هذا ال magnetic field اتجاهك طب اقولكوا انا
+
+59
+00:04:25,220 --> 00:04:29,040
+عرفت المجال المغناطيسي الاتجاه واضح لان العنصر هذا
+
+60
+00:04:29,040 --> 00:04:34,620
+مظبوطش معايا عشان مشكلة الرياضيات اللي فيهبالتالي
+
+61
+00:04:34,620 --> 00:04:38,560
+بقول if the magnetic field is not constant over
+
+62
+00:04:38,560 --> 00:04:42,760
+the surface of the loop عشان R هادي we have to
+
+63
+00:04:42,760 --> 00:04:46,020
+divide the surface into small elements each of
+
+64
+00:04:46,020 --> 00:04:51,170
+area dA بساوي بيه dR واخد نهاي عنصرياحنا متفقين
+
+65
+00:04:51,170 --> 00:04:55,830
+ممكن تكون الخط أفقي عنصر لكن بنفعنيه لإن لو كان
+
+66
+00:04:55,830 --> 00:04:59,250
+أفق الشباب بيكون بيهم ثابت عليه تمام؟ طبعا احنا
+
+67
+00:04:59,250 --> 00:05:02,970
+مرة في امتحان جبت انا قولت بديش اعمل نفس مثال
+
+68
+00:05:02,970 --> 00:05:07,350
+تقريبا بس قولت خل الصلك الأخضر يكون هيك وخل اللوب
+
+69
+00:05:07,350 --> 00:05:13,190
+تكون هيك هجت كيف بيكون؟ طبعا اللي مش مصحصح بيقولك
+
+70
+00:05:13,190 --> 00:05:16,150
+والله في المثال أخده عمودي يلا أخده عمودي وبدأ
+
+71
+00:05:16,150 --> 00:05:24,870
+يشتغل بضيعطبعا زي ما انتوا شايفين عرضه DR طوله B
+
+72
+00:05:24,870 --> 00:05:32,470
+وبالتالي بصير DA ان عرفت هذه المسافة طبعا هى R لما
+
+73
+00:05:32,470 --> 00:05:37,950
+اجي اشتغلبتصير P بيساوي Mu not I ع 2 بي دي اي على
+
+74
+00:05:37,950 --> 00:05:42,850
+R دي اي اتفقنا هي بيساوي P دي R طبعا ال P constant
+
+75
+00:05:42,850 --> 00:05:46,970
+taken out from the integral بيظل عندي تكامل من دي
+
+76
+00:05:46,970 --> 00:05:52,190
+R لR تكامل دي R على R ايش بتساوي؟ لن ال R المشكلة
+
+77
+00:05:52,190 --> 00:05:55,230
+في الحدود طبعا انا المتغير تبعي R هي و مرسوم من
+
+78
+00:05:55,230 --> 00:06:02,560
+هنا R لما اجي اطلع الشيء الأيزاء هيعناصرها ده هي
+
+79
+00:06:02,560 --> 00:06:07,300
+بتبدأ من هنا ل هنا وهي بصير .. اذا معناته من C ل C
+
+80
+00:06:07,300 --> 00:06:19,360
+زائد A فبتكون من C ل C plus .. احكي صح
+
+81
+00:06:19,360 --> 00:06:21,200
+هذا ال flux انا قاعد بحث عنه
+
+82
+00:06:27,450 --> 00:06:31,150
+بنقلنا و بنسوي بهذا المخدر و زي ما حكينا مجرد مثال
+
+83
+00:06:31,150 --> 00:06:34,470
+يعلمنا كيف نحسب ال flux و كيف لما نكون b is not
+
+84
+00:06:34,470 --> 00:06:39,450
+uniform we have to find dA which is an increment
+
+85
+00:06:39,450 --> 00:06:44,210
+of the area تمام نحللنا سؤال عشان ال direction
+
+86
+00:06:44,210 --> 00:06:48,950
+يكون واضح فيه كتير أسئلة بهذا الشكل بيقول في هذه
+
+87
+00:06:48,950 --> 00:06:50,970
+الأسلاك
+
+88
+00:06:52,310 --> 00:06:56,070
+هذه عبارة عن أربع أسلاك شباب أربع أسلاك محطوطين
+
+89
+00:06:56,070 --> 00:07:00,130
+على رأس مربع هذه السلك تياره هيك وهذه السلك تياره
+
+90
+00:07:00,130 --> 00:07:04,230
+هيك هذه السلك تياره هيك وهذه السلك تياره هيك بيقول
+
+91
+00:07:04,230 --> 00:07:08,650
+لي four long برر ال conductors carry equal
+
+92
+00:07:08,650 --> 00:07:13,110
+currents of I equal five ampereالاتصال الحالي هو
+
+93
+00:07:13,110 --> 00:07:18,730
+إلى الـPage في المقاطع A وB وخارج
+
+94
+00:07:18,730 --> 00:07:24,070
+الـPage في الـC وD تخطيط المقاطع الوضعية في
+
+95
+00:07:24,070 --> 00:07:28,950
+المقاطع Plocated at the center of the square of
+
+96
+00:07:28,950 --> 00:07:35,970
+edge length 0.2 meter طول ضلع المربع معروف بالتالي
+
+97
+00:07:35,970 --> 00:07:40,650
+انا بقولي هدول كلهم اطوال الأسلاك طول ال circuit
+
+98
+00:07:40,650 --> 00:07:47,770
+طويل B تبعته بسوء Mu0 I على 2 بR هي قانون يعطى
+
+99
+00:07:47,770 --> 00:07:52,210
+إليك طب إيش ضايل هد السؤال directionهذا سؤال
+
+100
+00:07:52,210 --> 00:07:56,290
+الـdirection الـCR المسافة بين التيار والسلك
+
+101
+00:07:56,290 --> 00:08:01,030
+والمسافة بين كل التيارات والسلك هذا هي نص القطر
+
+102
+00:08:01,030 --> 00:08:04,870
+القطر تبع المربع عبارة عن هذه التلبيع فهذه تلبيع
+
+103
+00:08:04,870 --> 00:08:10,150
+تحت الجزر بجيبه مظبوط ولا نصه فهذه المسافة 0.2
+
+104
+00:08:10,150 --> 00:08:15,090
+كلها بصير 0.1 في جزر التلبيع اتنين اذا المسافة R
+
+105
+00:08:15,090 --> 00:08:18,560
+انا عرفتبقى بدى اجيب ال direction طبعا ال
+
+106
+00:08:18,560 --> 00:08:23,080
+direction بعتمد على اتجاه التيارات قائمة من ياجي
+
+107
+00:08:23,080 --> 00:08:26,160
+اليمنى انا جبته المثال هذا عشان نتضرب صح ونقول
+
+108
+00:08:26,160 --> 00:08:30,700
+نيجي عند ايه هيك هجي كام دولوف بقوله بدى يلوف بحيث
+
+109
+00:08:30,700 --> 00:08:36,690
+يعملنا مماس نص القطر شباب هاي نص القطرطبعا
+
+110
+00:08:36,690 --> 00:08:41,450
+المعلومة اللى موجودة عندنا من زمان ان قطرين مربع
+
+111
+00:08:41,450 --> 00:08:46,490
+متعمدين صح ولا لأ يعني هذه الزاوية تسعين اذا هدا
+
+112
+00:08:46,490 --> 00:08:50,970
+كان نص قطر اذا هي مماسه مظبوط ولا لأ بيظبط مماسه
+
+113
+00:08:50,970 --> 00:08:54,870
+يروح هيك ولا هيك بيقول اشغل عيدك اليوم اذا هيك
+
+114
+00:08:54,870 --> 00:09:00,410
+تمام نفس النيجرة هدا هدا نص قطر اذا هي مماسه هيك
+
+115
+00:09:00,410 --> 00:09:06,370
+ولا هيك هيكانا حاول ان اعملها كمان مرة هذا هيك
+
+116
+00:09:06,370 --> 00:09:10,550
+يسقطره مماسو هذا الخط كيه بده يكون؟ بده يكون هيك
+
+117
+00:09:10,550 --> 00:09:16,390
+فطبعا احنا عشان انا اشتغلها بقول التالي بدي اعمل
+
+118
+00:09:16,390 --> 00:09:20,750
+دوائر هاي اول واحد بعمل دائر هاي مجال المواطيسي
+
+119
+00:09:20,750 --> 00:09:23,850
+شباب هاي المجال المواطيسي الدويرة هذه هجت
+
+120
+00:09:23,850 --> 00:09:28,190
+clockwise ولا counter clockwise؟Clockwise
+
+121
+00:09:28,190 --> 00:09:31,950
+Clockwise و بدي مماس هي نص القطر مماس Clockwise
+
+122
+00:09:31,950 --> 00:09:38,110
+إذا هيك إذا هدا هي مظبوط هيك ولا لأ هذه بي تبع
+
+123
+00:09:38,110 --> 00:09:43,310
+السلك ايه تمام التانية هي دويرتي هذه الدويرة تشكل
+
+124
+00:09:43,310 --> 00:09:47,830
+خطوط المجال المغناطيسي بدي عند نقطة بي Clockwise و
+
+125
+00:09:47,830 --> 00:09:50,070
+لا counter clockwise برضه Clockwise ما زال
+
+126
+00:09:50,070 --> 00:09:54,050
+Clockwise إذا بدي يكون هيك صحيح ولا لأ و هدا هي بي
+
+127
+00:09:54,050 --> 00:09:59,170
+بيتمام نجي لهذا C هجيت إيه؟ Clock ولا Quartar؟
+
+128
+00:09:59,170 --> 00:10:02,830
+Quartar ولمّا يكون Quartar معناته بيكون نفس هذا
+
+129
+00:10:02,830 --> 00:10:08,770
+الاتجاه صح ولا لأ؟ إذن هذا هو هذا هو بي سي تمام
+
+130
+00:10:08,770 --> 00:10:12,350
+نجي لآخر واحد ارسم دويرتك طبعا الدوير برسمها السلك
+
+131
+00:10:12,350 --> 00:10:16,690
+مركزها مصبوط ولا لأ السلك مركزها و المقطة بتكون
+
+132
+00:10:16,690 --> 00:10:20,430
+على المحيط هيك بس برسم الدوير تمام الكمام مرة
+
+133
+00:10:20,430 --> 00:10:27,020
+Quartar Clockwise وعشان يكون مماس بيكون هيكخلاص
+
+134
+00:10:27,020 --> 00:10:32,920
+بقدر اجمع B وC مع بعض صح ولا لا وبجمع A وD مع بعض
+
+135
+00:10:32,920 --> 00:10:38,530
+ولا لابقول P للواحد بيسوي Min of I ع 2 by R شحتني
+
+136
+00:10:38,530 --> 00:10:43,730
+إيها R عرفتها طلعتها 7.1 micro tesla على اعتبار
+
+137
+00:10:43,730 --> 00:10:47,670
+التيار شباب معطنية وكل شي معطنية هذه P لواحد طب
+
+138
+00:10:47,670 --> 00:10:51,650
+هذه و هذه بدربهم في اتنين مظبوط ولا لأ بقدر أجمعهم
+
+139
+00:10:51,650 --> 00:10:56,530
+من نفس اتجاه بقول ايه و دي ايه و دي بتسوي رابط هذه
+
+140
+00:10:56,530 --> 00:11:01,700
+في اتنين طيبو بيوصي برضه نفس العملية هجيت كلهم
+
+141
+00:11:01,700 --> 00:11:05,560
+بقدر أجمحهم لأ متعامدين طبعا هنا متعامدين بقالوا
+
+142
+00:11:05,560 --> 00:11:08,580
+كإن بعتبر واحد سيني واحد صاضي عشان هو متعامدين لإن
+
+143
+00:11:08,580 --> 00:11:12,380
+في عندهم تعامض ساعتها بقول بيسوي جهاز التربي على
+
+144
+00:11:12,380 --> 00:11:16,520
+اتنين في واحد منهم و بطلع القيمة و طبعا اتجاه down
+
+145
+00:11:16,520 --> 00:11:22,000
+صح ولا لأ ليش down لإنه بيقولي أحلل هي ده هيك و هي
+
+146
+00:11:22,000 --> 00:11:26,550
+ده هيك و هي ده هيك و هي ده هيكالصيني روح وبالتالي
+
+147
+00:11:26,550 --> 00:11:30,150
+ال net بيكون down هذا احد أسئلة الكتابة في كتير
+
+148
+00:11:30,150 --> 00:11:35,330
+زيها اقل او اكتر في عدة أسئلة بهذا اتجاه عشان
+
+149
+00:11:35,330 --> 00:11:42,770
+انحله تمام هيك بنكون انهينا هذا الشابتر و الشابتر
+
+150
+00:11:42,770 --> 00:11:47,130
+مهم جدا لانه فيه القانونين الرئيسيين اللي بيحسبولي
+
+151
+00:11:47,130 --> 00:11:49,410
+في شدة المجال المغناطيسي
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bac96dd1cb03ff41cdba2b88b1e1a3b2fcd117fe
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/aazSM8dNVTE_raw.srt
@@ -0,0 +1,604 @@
+1
+00:00:09,940 --> 00:00:13,920
+بعد بسم الله الرحمن الرحيم نسانى فى الجزء البسيط
+
+2
+00:00:13,920 --> 00:00:18,340
+اللى ضال من الشرطة اخر حاجة شرحناها هى M pairs
+
+3
+00:00:18,340 --> 00:00:24,200
+واتفقنا ان M pairs بطبيعة القانون لا ينطبق الا على
+
+4
+00:00:24,200 --> 00:00:29,200
+تلت حالات الأسلاك الطويلة جدا لتعمل symmetry
+
+5
+00:00:30,040 --> 00:00:34,360
+السولينويد والعادية للسولينويد فقط والترويد
+
+6
+00:00:34,360 --> 00:00:39,280
+بطبيعته برضه بممكن نطبق عليه قانون amperes
+
+7
+00:00:39,280 --> 00:00:46,540
+وبالتالي بناخد closed loopبثم بي بتكون ثابت عليها
+
+8
+00:00:46,540 --> 00:00:51,440
+او التكامل كله zero بفعل الزاوية بنجيب I enclosed
+
+9
+00:00:51,440 --> 00:00:55,700
+و I enclosed اتفقنا هو التيار اللي بيخترق المساحة
+
+10
+00:00:55,700 --> 00:01:00,520
+اللي حددتها اللوب المغلقة اخر حاجة برضه عرضجني
+
+11
+00:01:00,520 --> 00:01:04,080
+عليها هي ال magnetic flux وال magnetic flux كمصطلح
+
+12
+00:01:04,080 --> 00:01:07,520
+بيشبه إلى حد كبير ال electric flux ال electric
+
+13
+00:01:07,520 --> 00:01:13,290
+flux عشان نحسبه لابد من تحديد سطح وبالتاليالذة
+
+14
+00:01:13,290 --> 00:01:17,250
+magnetic flux through a surface is defined as فاي
+
+15
+00:01:17,250 --> 00:01:21,010
+بي او فاي ام، بنعتمد عشان عندنا two فاي صاروا،
+
+16
+00:01:21,010 --> 00:01:24,710
+بنميز بين electric flux و magnetic flux، اما بحط
+
+17
+00:01:24,710 --> 00:01:29,290
+فاي اي و فاي ام او فاي اي و فاي بيبنسوي بي دوط ال
+
+18
+00:01:29,290 --> 00:01:33,170
+DA و بنتفقين إذا كانت بي ثابتة بتطلع برا، من
+
+19
+00:01:33,170 --> 00:01:36,430
+الثابتة بتخليها جوا، تمام؟ إذا من الثابتة هي
+
+20
+00:01:36,430 --> 00:01:39,870
+قانوني العام بصورة جمالية برا طلعتها برا في حالي
+
+21
+00:01:39,870 --> 00:01:43,950
+ثابتها، بتصير تكامل ال DAA و بتصير بي دوط ال A،
+
+22
+00:01:43,950 --> 00:01:47,470
+وهذا بنطلع المجلة TFLUX الوحدة عرفنا أنها Tesla
+
+23
+00:01:47,470 --> 00:01:54,780
+متر أربع .. متر square R V barتمام و الفرق ما بين
+
+24
+00:01:54,780 --> 00:01:58,400
+ال magnetic flux و ال electric flux انه للكلوز
+
+25
+00:01:58,400 --> 00:02:02,900
+surface شباب ال electric flux ممكن يكون zero و
+
+26
+00:02:02,900 --> 00:02:06,640
+ممكن يكون مش zero ال electric flux لأنه بيستوى qn
+
+27
+00:02:06,640 --> 00:02:10,700
+على اي نوت و qn ممكن يكون لها قيمة لأنه في إمكانية
+
+28
+00:02:10,700 --> 00:02:13,940
+يكون في عندي net charge ان الشحنات الموجة بتكون
+
+29
+00:02:13,940 --> 00:02:17,220
+اكتر من الشحنات السالبة او العكسفي الحياة
+
+30
+00:02:17,220 --> 00:02:21,140
+المغناطسية مش مجال يكون الأقطاب الشمالية أكتر من
+
+31
+00:02:21,140 --> 00:02:24,680
+الأقطاب الجنوبية أو العكس وبنقول since no monopole
+
+32
+00:02:24,680 --> 00:02:28,360
+can be isolated in nature we can conclude thatإن
+
+33
+00:02:28,360 --> 00:02:33,160
+5B لما يكون فيه إغلاق في التكامل النتيجة تلقائيًا
+
+34
+00:02:33,160 --> 00:02:37,620
+Zero على طول الإغلاق يعني سطح مغلق بيكون على طول و
+
+35
+00:02:37,620 --> 00:02:41,000
+التفاقرة that is the magnetic flux through any
+
+36
+00:02:41,000 --> 00:02:43,920
+closed surface is always zero لإن هذه عبارة عن
+
+37
+00:02:43,920 --> 00:02:48,540
+ورقة و الورقة جزء من متوازن مستطيلات فجزء من
+
+38
+00:02:48,540 --> 00:02:53,000
+المساحة المغلقة فهي مساحة مفتوحة بقول لي أحسبها تم
+
+39
+00:02:53,000 --> 00:02:59,350
+كيف بقول هي قانونيزي ما حكى اسمكم طويل جانيها دي
+
+40
+00:02:59,350 --> 00:03:03,330
+بي من وين جاية؟ جاية من السلك الطويل والسلك الطويل
+
+41
+00:03:03,330 --> 00:03:07,870
+حلته بقانونين بيوت أنسفارته من أنبيرج وجيبت نتيجته
+
+42
+00:03:07,870 --> 00:03:12,370
+نتيجته طبعا الأن أنا بدي أشحتها في امتحان ما بكون
+
+43
+00:03:12,370 --> 00:03:15,990
+أعطيها إليك يعني مش مفروض منك تحفظها بيها ده هي
+
+44
+00:03:15,990 --> 00:03:20,350
+with v is the magnetic field created by the wire و
+
+45
+00:03:20,350 --> 00:03:24,370
+given by هي قانونها ايها طلعتها إليك ميو نوت اي
+
+46
+00:03:24,370 --> 00:03:28,290
+اتنين بي ار جاني تطلع عليهاهل بتقدر B تطلعها برا؟
+
+47
+00:03:28,290 --> 00:03:33,310
+لأ ليش؟ لأنها تعتمد على R يا شباب إيش يعني R؟ يعني
+
+48
+00:03:33,310 --> 00:03:36,770
+هنا غير عن هنا غير عن هنا إذا معناته بي في المنطقة
+
+49
+00:03:36,770 --> 00:03:42,030
+الصفرى مثابتة تختلف من نقطة لنقطة ما زال بي is not
+
+50
+00:03:42,030 --> 00:03:45,730
+uniform بتقدرش تطلعها إذا معناته هذا بدك تكامل مع
+
+51
+00:03:45,730 --> 00:03:51,340
+التكامل بدك تكامل عشان تكامل بدك دي ايه؟بيدك دي
+
+52
+00:03:51,340 --> 00:03:57,040
+ايه دي increment جزء من ال area فبيدي جزء من ال
+
+53
+00:03:57,040 --> 00:04:01,520
+area زي ما المرأيك انا حكيت قولت هو ال default ان
+
+54
+00:04:01,520 --> 00:04:08,100
+الجزء هو هاي الجزء و اقول هنا دي x و هنا دي yهي ال
+
+55
+00:04:08,100 --> 00:04:13,460
+default لكن dx dy بيعمللي مشكلة في التكامل بيعطيني
+
+56
+00:04:13,460 --> 00:04:16,560
+double integration انا بغنى عنه لان ممكن انا اسهل
+
+57
+00:04:16,560 --> 00:04:22,480
+بقول طيب هفشلها العنصر انا ممكن اعتبرهم عصي زي هيك
+
+58
+00:04:22,480 --> 00:04:25,220
+اه هذا ال magnetic field اتجاهك طب اقولكوا انا
+
+59
+00:04:25,220 --> 00:04:29,040
+عرفت المجال المغناطيسي الاتجاه واضح لان العنصر هذا
+
+60
+00:04:29,040 --> 00:04:34,620
+مظبوطش معايا عشان مشكلة الرياضيات اللي فيهبالتالي
+
+61
+00:04:34,620 --> 00:04:38,560
+بقول if the magnetic field is not constant over
+
+62
+00:04:38,560 --> 00:04:42,760
+the surface of the loop عشان R هادي we have to
+
+63
+00:04:42,760 --> 00:04:46,020
+divide the surface into small elements each of
+
+64
+00:04:46,020 --> 00:04:51,170
+area dA بساوي بيه dR واخد نهاي عنصرياحنا متفقين
+
+65
+00:04:51,170 --> 00:04:55,830
+ممكن تكون الخط أفقي عنصر لكن بنفعنيه لإن لو كان
+
+66
+00:04:55,830 --> 00:04:59,250
+أفق الشباب بيكون بيهم ثابت عليه تمام؟ طبعا احنا
+
+67
+00:04:59,250 --> 00:05:02,970
+مرة في امتحان جبت انا قولت بديش اعمل نفس مثال
+
+68
+00:05:02,970 --> 00:05:07,350
+تقريبا بس قولت خل الصلك الأخضر يكون هيك وخل اللوب
+
+69
+00:05:07,350 --> 00:05:13,190
+تكون هيك هجت كيف بيكون؟ طبعا اللي مش مصحصح بيقولك
+
+70
+00:05:13,190 --> 00:05:16,150
+والله في المثال أخده عمودي يلا أخده عمودي وبدأ
+
+71
+00:05:16,150 --> 00:05:24,870
+يشتغل بضيعطبعا زي ما انتوا شايفين عرضه DR طوله B
+
+72
+00:05:24,870 --> 00:05:32,470
+وبالتالي بصير DA ان عرفت هذه المسافة طبعا هى R لما
+
+73
+00:05:32,470 --> 00:05:37,950
+اجي اشتغلبتصير P بيساوي Mu not I ع 2 بي دي اي على
+
+74
+00:05:37,950 --> 00:05:42,850
+R دي اي اتفقنا هي بيساوي P دي R طبعا ال P constant
+
+75
+00:05:42,850 --> 00:05:46,970
+taken out from the integral بيظل عندي تكامل من دي
+
+76
+00:05:46,970 --> 00:05:52,190
+R لR تكامل دي R على R ايش بتساوي؟ لن ال R المشكلة
+
+77
+00:05:52,190 --> 00:05:55,230
+في الحدود طبعا انا المتغير تبعي R هي و مرسوم من
+
+78
+00:05:55,230 --> 00:06:02,560
+هنا R لما اجي اطلع الشيء الأيزاء هيعناصرها ده هي
+
+79
+00:06:02,560 --> 00:06:07,300
+بتبدأ من هنا ل هنا وهي بصير .. اذا معناته من C ل C
+
+80
+00:06:07,300 --> 00:06:19,360
+زائد A فبتكون من C ل C plus .. احكي صح
+
+81
+00:06:19,360 --> 00:06:21,200
+هذا ال flux انا قاعد بحث عنه
+
+82
+00:06:27,450 --> 00:06:31,150
+بنقلنا و بنسوي بهذا المخدر و زي ما حكينا مجرد مثال
+
+83
+00:06:31,150 --> 00:06:34,470
+يعلمنا كيف نحسب ال flux و كيف لما نكون b is not
+
+84
+00:06:34,470 --> 00:06:39,450
+uniform we have to find dA which is an increment
+
+85
+00:06:39,450 --> 00:06:44,210
+of the area تمام نحللنا سؤال عشان ال direction
+
+86
+00:06:44,210 --> 00:06:48,950
+يكون واضح فيه كتير أسئلة بهذا الشكل بيقول في هذه
+
+87
+00:06:48,950 --> 00:06:50,970
+الأسلاك
+
+88
+00:06:52,310 --> 00:06:56,070
+هذه عبارة عن أربع أسلاك شباب أربع أسلاك محطوطين
+
+89
+00:06:56,070 --> 00:07:00,130
+على رأس مربع هذه السلك تياره هيك وهذه السلك تياره
+
+90
+00:07:00,130 --> 00:07:04,230
+هيك هذه السلك تياره هيك وهذه السلك تياره هيك بيقول
+
+91
+00:07:04,230 --> 00:07:08,650
+لي four long برر ال conductors carry equal
+
+92
+00:07:08,650 --> 00:07:13,110
+currents of I equal five ampereالاتصال الحالي هو
+
+93
+00:07:13,110 --> 00:07:18,730
+إلى الـPage في المقاطع A وB وخارج
+
+94
+00:07:18,730 --> 00:07:24,070
+الـPage في الـC وD تخطيط المقاطع الوضعية في
+
+95
+00:07:24,070 --> 00:07:28,950
+المقاطع Plocated at the center of the square of
+
+96
+00:07:28,950 --> 00:07:35,970
+edge length 0.2 meter طول ضلع المربع معروف بالتالي
+
+97
+00:07:35,970 --> 00:07:40,650
+انا بقولي هدول كلهم اطوال الأسلاك طول ال circuit
+
+98
+00:07:40,650 --> 00:07:47,770
+طويل B تبعته بسوء Mu0 I على 2 بR هي قانون يعطى
+
+99
+00:07:47,770 --> 00:07:52,210
+إليك طب إيش ضايل هد السؤال directionهذا سؤال
+
+100
+00:07:52,210 --> 00:07:56,290
+الـdirection الـCR المسافة بين التيار والسلك
+
+101
+00:07:56,290 --> 00:08:01,030
+والمسافة بين كل التيارات والسلك هذا هي نص القطر
+
+102
+00:08:01,030 --> 00:08:04,870
+القطر تبع المربع عبارة عن هذه التلبيع فهذه تلبيع
+
+103
+00:08:04,870 --> 00:08:10,150
+تحت الجزر بجيبه مظبوط ولا نصه فهذه المسافة 0.2
+
+104
+00:08:10,150 --> 00:08:15,090
+كلها بصير 0.1 في جزر التلبيع اتنين اذا المسافة R
+
+105
+00:08:15,090 --> 00:08:18,560
+انا عرفتبقى بدى اجيب ال direction طبعا ال
+
+106
+00:08:18,560 --> 00:08:23,080
+direction بعتمد على اتجاه التيارات قائمة من ياجي
+
+107
+00:08:23,080 --> 00:08:26,160
+اليمنى انا جبته المثال هذا عشان نتضرب صح ونقول
+
+108
+00:08:26,160 --> 00:08:30,700
+نيجي عند ايه هيك هجي كام دولوف بقوله بدى يلوف بحيث
+
+109
+00:08:30,700 --> 00:08:36,690
+يعملنا مماس نص القطر شباب هاي نص القطرطبعا
+
+110
+00:08:36,690 --> 00:08:41,450
+المعلومة اللى موجودة عندنا من زمان ان قطرين مربع
+
+111
+00:08:41,450 --> 00:08:46,490
+متعمدين صح ولا لأ يعني هذه الزاوية تسعين اذا هدا
+
+112
+00:08:46,490 --> 00:08:50,970
+كان نص قطر اذا هي مماسه مظبوط ولا لأ بيظبط مماسه
+
+113
+00:08:50,970 --> 00:08:54,870
+يروح هيك ولا هيك بيقول اشغل عيدك اليوم اذا هيك
+
+114
+00:08:54,870 --> 00:09:00,410
+تمام نفس النيجرة هدا هدا نص قطر اذا هي مماسه هيك
+
+115
+00:09:00,410 --> 00:09:06,370
+ولا هيك هيكانا حاول ان اعملها كمان مرة هذا هيك
+
+116
+00:09:06,370 --> 00:09:10,550
+يسقطره مماسو هذا الخط كيه بده يكون؟ بده يكون هيك
+
+117
+00:09:10,550 --> 00:09:16,390
+فطبعا احنا عشان انا اشتغلها بقول التالي بدي اعمل
+
+118
+00:09:16,390 --> 00:09:20,750
+دوائر هاي اول واحد بعمل دائر هاي مجال المواطيسي
+
+119
+00:09:20,750 --> 00:09:23,850
+شباب هاي المجال المواطيسي الدويرة هذه هجت
+
+120
+00:09:23,850 --> 00:09:28,190
+clockwise ولا counter clockwise؟Clockwise
+
+121
+00:09:28,190 --> 00:09:31,950
+Clockwise و بدي مماس هي نص القطر مماس Clockwise
+
+122
+00:09:31,950 --> 00:09:38,110
+إذا هيك إذا هدا هي مظبوط هيك ولا لأ هذه بي تبع
+
+123
+00:09:38,110 --> 00:09:43,310
+السلك ايه تمام التانية هي دويرتي هذه الدويرة تشكل
+
+124
+00:09:43,310 --> 00:09:47,830
+خطوط المجال المغناطيسي بدي عند نقطة بي Clockwise و
+
+125
+00:09:47,830 --> 00:09:50,070
+لا counter clockwise برضه Clockwise ما زال
+
+126
+00:09:50,070 --> 00:09:54,050
+Clockwise إذا بدي يكون هيك صحيح ولا لأ و هدا هي بي
+
+127
+00:09:54,050 --> 00:09:59,170
+بيتمام نجي لهذا C هجيت إيه؟ Clock ولا Quartar؟
+
+128
+00:09:59,170 --> 00:10:02,830
+Quartar ولمّا يكون Quartar معناته بيكون نفس هذا
+
+129
+00:10:02,830 --> 00:10:08,770
+الاتجاه صح ولا لأ؟ إذن هذا هو هذا هو بي سي تمام
+
+130
+00:10:08,770 --> 00:10:12,350
+نجي لآخر واحد ارسم دويرتك طبعا الدوير برسمها السلك
+
+131
+00:10:12,350 --> 00:10:16,690
+مركزها مصبوط ولا لأ السلك مركزها و المقطة بتكون
+
+132
+00:10:16,690 --> 00:10:20,430
+على المحيط هيك بس برسم الدوير تمام الكمام مرة
+
+133
+00:10:20,430 --> 00:10:27,020
+Quartar Clockwise وعشان يكون مماس بيكون هيكخلاص
+
+134
+00:10:27,020 --> 00:10:32,920
+بقدر اجمع B وC مع بعض صح ولا لا وبجمع A وD مع بعض
+
+135
+00:10:32,920 --> 00:10:38,530
+ولا لابقول P للواحد بيسوي Min of I ع 2 by R شحتني
+
+136
+00:10:38,530 --> 00:10:43,730
+إيها R عرفتها طلعتها 7.1 micro tesla على اعتبار
+
+137
+00:10:43,730 --> 00:10:47,670
+التيار شباب معطنية وكل شي معطنية هذه P لواحد طب
+
+138
+00:10:47,670 --> 00:10:51,650
+هذه و هذه بدربهم في اتنين مظبوط ولا لأ بقدر أجمعهم
+
+139
+00:10:51,650 --> 00:10:56,530
+من نفس اتجاه بقول ايه و دي ايه و دي بتسوي رابط هذه
+
+140
+00:10:56,530 --> 00:11:01,700
+في اتنين طيبو بيوصي برضه نفس العملية هجيت كلهم
+
+141
+00:11:01,700 --> 00:11:05,560
+بقدر أجمحهم لأ متعامدين طبعا هنا متعامدين بقالوا
+
+142
+00:11:05,560 --> 00:11:08,580
+كإن بعتبر واحد سيني واحد صاضي عشان هو متعامدين لإن
+
+143
+00:11:08,580 --> 00:11:12,380
+في عندهم تعامض ساعتها بقول بيسوي جهاز التربي على
+
+144
+00:11:12,380 --> 00:11:16,520
+اتنين في واحد منهم و بطلع القيمة و طبعا اتجاه down
+
+145
+00:11:16,520 --> 00:11:22,000
+صح ولا لأ ليش down لإنه بيقولي أحلل هي ده هيك و هي
+
+146
+00:11:22,000 --> 00:11:26,550
+ده هيك و هي ده هيك و هي ده هيكالصيني روح وبالتالي
+
+147
+00:11:26,550 --> 00:11:30,150
+ال net بيكون down هذا احد أسئلة الكتابة في كتير
+
+148
+00:11:30,150 --> 00:11:35,330
+زيها اقل او اكتر في عدة أسئلة بهذا اتجاه عشان
+
+149
+00:11:35,330 --> 00:11:42,770
+انحله تمام هيك بنكون انهينا هذا الشابتر و الشابتر
+
+150
+00:11:42,770 --> 00:11:47,130
+مهم جدا لانه فيه القانونين الرئيسيين اللي بيحسبولي
+
+151
+00:11:47,130 --> 00:11:49,410
+في شدة المجال المغناطيسي
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/bT-lktSXH0U.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/bT-lktSXH0U.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d07b558af0dec7ea2b6b889d003b4b1e491af95c
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/bT-lktSXH0U.srt
@@ -0,0 +1,2873 @@
+1
+00:00:00,000 --> 00:00:02,700
+موسيقى
+
+2
+00:00:10,040 --> 00:00:14,040
+بسم الله الرحمن الرحيم نبدأ الآن بالـ chapter 
+
+3
+00:00:14,040 --> 00:00:19,740
+الخامس واللي عنوانه current and resistance إذا 
+
+4
+00:00:19,740 --> 00:00:25,020
+كنتوا ذاكرين احنا حكينا أن المادة قسمت أو قسمناها 
+
+5
+00:00:25,020 --> 00:00:28,840
+إلى أربع أقسام، القسم الأول الكهربية الساكنة، القسم 
+
+6
+00:00:28,840 --> 00:00:32,560
+الثاني هي الكهربية الديناميكية واللي بتبدأ اليوم إن 
+
+7
+00:00:32,560 --> 00:00:35,040
+شاء الله بالـ chapter الخامس و chapter السادس 
+
+8
+00:00:35,040 --> 00:00:37,780
+استكمال لهذا الموضوع
+
+9
+00:00:40,790 --> 00:00:44,810
+under title current and resistance, recommended
+
+10
+00:00:44,810 --> 00:00:51,730
+problems as before، هتشوفوا  لأسئلة قليلة في هذا الـ
+
+11
+00:00:51,730 --> 00:00:56,210
+chapter لأن هذا الـ chapter فيه شوية concepts وثقل 
+
+12
+00:00:56,210 --> 00:00:59,170
+على التطبيق في الـ chapter اللي وراه، وبالتالي هذا الـ
+
+13
+00:00:59,170 --> 00:01:04,130
+chapter يعتبر خفيف مقارنة باللي وراه، بس هدول هذا 
+
+14
+00:01:04,130 --> 00:01:07,910
+بدل أنه برضه هتشوفوا أن الأمثلة برضه سهلة وقليلة 
+
+15
+00:01:09,560 --> 00:01:14,520
+مواضيع شوية سهلة، عشان هيك الـ quiz تبعه أخديت 
+
+16
+00:01:14,520 --> 00:01:16,700
+section من الـ chapter اللي وقع على الـ chapter هذا 
+
+17
+00:01:16,700 --> 00:01:22,200
+عشان أعمله quiz خاص بي، وبالتالي الـ quiz تبعه طبعا 
+
+18
+00:01:22,200 --> 00:01:25,240
+الـ chapter أو الـ section اللي أخدته من الـ chapter
+
+19
+00:01:25,240 --> 00:01:29,680
+برضه 10 عوينة في الكتاب فاصلينه، وبالتالي هذا الـ
+
+20
+00:01:29,680 --> 00:01:31,900
+chapter هيكون صغير كتير في الكتاب، و الـ chapter
+
+21
+00:01:31,900 --> 00:01:35,440
+اللي وقع كبير كتير فأنا فضلت أخد section من الـ 
+
+22
+00:01:35,440 --> 00:01:40,360
+chapter 27 أو 28 وحطه على الـ chapter سبعة 
+
+23
+00:01:40,360 --> 00:01:46,460
+و20، تمام، أول حاجة نجي نشرح الـ electric current 
+
+24
+00:01:46,460 --> 00:01:52,240
+current معناه تيار يا شباب، تيار كهربائي، كلمة تيار 
+
+25
+00:01:52,240 --> 00:01:58,370
+لغوياً بتيجي من مفهوم حركة زي طيار ميه، طيار هوا 
+
+26
+00:01:58,370 --> 00:02:03,250
+طبعاً لما نقول في طيار هوا الشجر بتتحرك ولا لأ؟ إذا 
+
+27
+00:02:03,250 --> 00:02:08,210
+الهوا بتتحرك، طيار ميه واضح الطيار فيه ميه، كيف 
+
+28
+00:02:08,210 --> 00:02:12,270
+الميه ما بتتحركش بعدها؟ هل هي بتتحرك حالها ولا لازم 
+
+29
+00:02:12,270 --> 00:02:17,150
+حد يضخها؟ طيب من البراميل اللي فوق بدها مضخة ولا 
+
+30
+00:02:17,150 --> 00:02:22,420
+حالة تنزل؟ ليش؟ الجاذبية، بمعنى آخر في فرق جهد، احنا 
+
+31
+00:02:22,420 --> 00:02:25,520
+اتفقنا أنه عند النقطة هذه فيه جهد ولا لا، فلما 
+
+32
+00:02:25,520 --> 00:02:30,080
+يكون في عندي فرق جهد، بتنزل الميه، فرق في الـ 
+
+33
+00:02:30,080 --> 00:02:34,260
+potential energy، بتنزل الميه، اللي بده يقابل الآن 
+
+34
+00:02:34,260 --> 00:02:40,650
+الميه التيار الكهربائي هناك حُقّ ميّه سائل بتدفّق، 
+
+35
+00:02:40,650 --> 00:02:45,890
+إن الآن شحنات هتتدفّق، هتتحرك شحنات، فبقول لي 
+
+36
+00:02:45,890 --> 00:02:50,370
+whenever electric charges of the same sign move, 
+
+37
+00:02:51,070 --> 00:02:54,270
+we have what is called electric current إذا الـ 
+
+38
+00:02:54,270 --> 00:02:57,650
+electric current مرتبط بحركة الشحنات، طبعاً لازم 
+
+39
+00:02:57,650 --> 00:03:02,070
+يكون الشحنات من نفس النوعية احنا عارفين أن اللي 
+
+40
+00:03:02,070 --> 00:03:05,470
+بتحرك أصلاً الشحنات السالبة وهو الالكترونات، وبالتالي 
+
+41
+00:03:05,470 --> 00:03:09,050
+أصل الحركة للشحنات السالبة هي من نفس النوعية إذا 
+
+42
+00:03:09,050 --> 00:03:15,450
+في حركة في شحنات، طيب الحركة معناته في تغير حركات 
+
+43
+00:03:15,450 --> 00:03:20,890
+بتتغير، ارتبط بالحركة في velocity  صح ولا 
+
+44
+00:03:20,890 --> 00:03:24,470
+لأ؟ وقلنا الـ velocity عرفناها معدل تغير إزاحة 
+
+45
+00:03:24,470 --> 00:03:28,510
+بالنسبة للزمن، فبقول موضوع هو بتتغير بالنسبة للزمن 
+
+46
+00:03:28,510 --> 00:03:32,690
+هنا الشحنات عاملها بتتحرك يعني بمعنى آخر هو أنا 
+
+47
+00:03:32,690 --> 00:03:38,610
+بتفرج على سلك كهربائي ومعظم الفرد أنه مصنوع شفاف 
+
+48
+00:03:38,610 --> 00:03:42,530
+هيك وبتطلع الشحنة اللي بشوفها بتدلي نفسها واقفة 
+
+49
+00:03:42,530 --> 00:03:46,070
+ولا بيجي غيرها؟ بيشغيرها، إذا الشحنات بتتغير مع 
+
+50
+00:03:46,070 --> 00:03:49,530
+الزمن ولا بتتغيرش، هي معناه تيار كهربائي، إذا 
+
+51
+00:03:49,530 --> 00:03:55,850
+التعريف العلمي للمصطلح بيقول لي معناته I بيساوي DQ 
+
+52
+00:03:55,850 --> 00:04:01,710
+على DT، I هو رمز التيار الكهربائي، هي التيار، معدل 
+
+53
+00:04:01,710 --> 00:04:04,490
+تغير شحنة بالنسبة للزمن، الشحنات عامة بتتغير مع 
+
+54
+00:04:04,490 --> 00:04:10,940
+الزمن، بتفوق و بتيجي، إذا DQ على DT، هي I رمز جديد 
+
+55
+00:04:10,940 --> 00:04:14,320
+اسمه electric current عندنا نشوف وحداته طبعاً من 
+
+56
+00:04:14,320 --> 00:04:19,740
+هذا التعريف q is a scalar quantity and time is a 
+
+57
+00:04:19,740 --> 00:04:23,340
+scalar quantity so the electric current is also a 
+
+58
+00:04:23,340 --> 00:04:26,470
+scalar quantity طبعاً احنا بنعرف أنها scalar 
+
+59
+00:04:26,470 --> 00:04:30,090
+quantity لكن دائماً بنقول وين اتجاه التيار، صح ولا 
+
+60
+00:04:30,090 --> 00:04:34,090
+لأ؟ اتجاه التيار مرتبط باتجاه حركة الشحنات مش 
+
+61
+00:04:34,090 --> 00:04:38,970
+باتجاه الكمية نفسها ككمية فيزيائية the SI unit of 
+
+62
+00:04:38,970 --> 00:04:42,990
+current in the ampere معروفة والامبير بيساوي كولوم 
+
+63
+00:04:42,990 --> 00:04:46,870
+على second، صحيح ولا لأ؟ حسب التعريف هذه ايش وحدتها؟ 
+
+64
+00:04:47,580 --> 00:04:51,080
+كولوم/ثانية، كولوم/ثانية، هي التيار لكن التيار 
+
+65
+00:04:51,080 --> 00:04:55,020
+عشان هو كمية مشهورة، حكوا إن تديها وحدة وكلكم 
+
+66
+00:04:55,020 --> 00:04:58,660
+تعرفوا أمبير هو عالم فرنسي وبالتالي تكريماً إليه 
+
+67
+00:04:58,660 --> 00:05:04,440
+أعطوا وحدة للتيار الكهربائي بقول although current 
+
+68
+00:05:04,440 --> 00:05:08,720
+is a scalar quantity من التعريف a direction is 
+
+69
+00:05:08,720 --> 00:05:11,320
+always specified to the current، دائماً بقول وين 
+
+70
+00:05:11,320 --> 00:05:15,380
+تجاه التيار برغم أن هي scalar، طب كيف تجاه التيار 
+
+71
+00:05:15,380 --> 00:05:19,060
+بقول the direction of the current is taken by 
+
+72
+00:05:19,060 --> 00:05:24,210
+convention صار في اتفاق ما بين العلماء كيف يحددوا 
+
+73
+00:05:24,210 --> 00:05:27,610
+اتجاه التيار يا شباب؟ قالوا خلوها اتجاه حركة الشحنات 
+
+74
+00:05:27,610 --> 00:05:32,770
+الموجبة، يقال أنه لما اتفقوا على هذا الشيء لسه 
+
+75
+00:05:32,770 --> 00:05:35,870
+المعلومة ما كانتش وصلاهم أن اللي بتحرك هي الشحنات 
+
+76
+00:05:35,870 --> 00:05:39,790
+السالبة فقالوا فهو موجب ولا لأ؟ فقالوا لذا خلّي 
+
+77
+00:05:39,790 --> 00:05:42,650
+الشحنات الموجبة وانت تتحرك ايه اتجاه التيار لما 
+
+78
+00:05:42,650 --> 00:05:45,970
+عرفوا في الآخر أنه بتحرك أصلاً الالكترونات قالوا 
+
+79
+00:05:45,970 --> 00:05:49,870
+بنغير مش هنغير، خلينا زي ما احنا فهذا by confusion 
+
+80
+00:05:49,870 --> 00:05:55,130
+يعني مجرد اتفاق يعني اتفاق ما فيش ليش يضحكوا تمام 
+
+81
+00:05:55,130 --> 00:05:58,010
+to be the direction of motion of positive charges
+
+82
+00:05:58,010 --> 00:06:01,130
+إذا أن أنا اتجاه التيار هو اتجاه حركة الشحنات 
+
+83
+00:06:01,130 --> 00:06:04,750
+الموجبة، فبالشحنات الموجبة بتتحرك مع المجال ولا 
+
+84
+00:06:04,750 --> 00:06:08,690
+بتتحركش مع المجال؟ مش بتتحرك مع المجال؟ لأن لو أنا 
+
+85
+00:06:08,690 --> 00:06:12,830
+في عندي مجال بهذا الشكل يا شباب، هي ايه؟ وفي عندي 
+
+86
+00:06:12,830 --> 00:06:18,950
+شحنة موجبة، وأنا بتحرك هيك ولا هيك؟ بأتحرك هيك، 
+
+87
+00:06:18,950 --> 00:06:24,870
+هذه .. إذا هذا هو ايه؟ هذا تيار، تمام؟ إذا صار 
+
+88
+00:06:24,870 --> 00:06:28,990
+التيار والمجال زي بعض يعني، بمعنى آخر، تمام؟ طيب، 
+
+89
+00:06:28,990 --> 00:06:34,250
+لما أنا أقسم ايه؟ مين جهده على هذه ولا هذه؟ اللي 
+
+90
+00:06:34,250 --> 00:06:38,910
+هي إذا معناته شحنة بتتحرك من الجهد الأعلى لجهد 
+
+91
+00:06:38,910 --> 00:06:42,310
+الأقل ولا لا؟ وعشان هيك حكوا عشان يظلوا الإنسان 
+
+92
+00:06:42,310 --> 00:06:45,810
+مرتبط بحكاية الميه أو أي سيلان أنه أنا بعرف الميه 
+
+93
+00:06:45,810 --> 00:06:48,970
+بتيجي من فوق لتحت مش من تحت لفوق، صح ولا لا؟ من 
+
+94
+00:06:48,970 --> 00:06:51,610
+فوق لتحت يعني من الأعلى إلى الأدنى، فخليها بنفس 
+
+95
+00:06:51,610 --> 00:06:56,090
+المفهوم، التيار بتتحرك من فوق لتحت، من أعلى إلى أسفل 
+
+96
+00:06:56,090 --> 00:06:58,050
+من الجهد الأعلى لجهد الأقل
+
+97
+00:07:06,110 --> 00:07:09,550
+بأرض هذه معلومات واضحة وما فيش فيها مشكلة زيها زي 
+
+98
+00:07:09,550 --> 00:07:11,270
+الميه، ما فيش أي إشكالية 
+
+99
+00:07:14,090 --> 00:07:18,910
+إذا التيار هو شحنات بس بتتحرك، الشحنات ارتبط فيها 
+
+100
+00:07:18,910 --> 00:07:24,130
+charge density وقلنا lambda و sigma و rho نفس 
+
+101
+00:07:24,130 --> 00:07:28,570
+العملية التيار بيرتبط في current density الـ 
+
+102
+00:07:28,570 --> 00:07:33,270
+current density عرفت على أنها تيار على مساحة، بتشبه 
+
+103
+00:07:33,270 --> 00:07:37,010
+sigma يا شباب، طب ليش قالوا بس مساحة؟ قالوا التيار هو 
+
+104
+00:07:37,010 --> 00:07:41,510
+ماشي زي الميه، بقطع مساحات، مساحة المقطع بقطعها 
+
+105
+00:07:41,780 --> 00:07:45,620
+بالتالي هذه المساحة اللي بيقطعها جسم التيار عليها 
+
+106
+00:07:45,620 --> 00:07:49,080
+بتعطيك الـ current density electric current per 
+
+107
+00:07:49,080 --> 00:07:52,740
+unit area، per unit area بس على الـ area in the 
+
+108
+00:07:52,740 --> 00:07:55,920
+direction of the positive charge motion is known 
+
+109
+00:07:55,920 --> 00:08:02,480
+as the current density J إذن D I بتساوي J ضرب الـ D E
+
+110
+00:08:02,480 --> 00:08:06,760
+هذه تعريف آخر وتأكيد أن التيار is scalar ولا 
+
+111
+00:08:06,760 --> 00:08:11,880
+vector؟ سكيلة لأنه عبارة عن نتيجة scalar product بين 
+
+112
+00:08:11,880 --> 00:08:16,760
+الـ area والـ current density، الـ area احنا عارفينها 
+
+113
+00:08:16,760 --> 00:08:19,520
+من ايام ما أخدنا قانون gauss هي vector quantity
+
+114
+00:08:19,520 --> 00:08:23,340
+واتجاهها كيف يكون؟ عمودي على السطح، لو أنا هجيت 
+
+115
+00:08:23,340 --> 00:08:27,140
+ال التيار هذا سلك والتيار ماشي هيك مش بتكون الـ area 
+
+116
+00:08:27,140 --> 00:08:31,960
+برضه مع التيار صح ولا لأ؟ إذا غالباً بتكون الـ J والـ 
+
+117
+00:08:31,960 --> 00:08:33,460
+A الزاوية بينهم zero 
+
+118
+00:08:38,430 --> 00:08:45,870
+كمل تكامل المعادلة ماذا يتكامل؟ دي اي اي اي اي اي اي 
+
+119
+00:08:45,870 --> 00:08:47,090
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+120
+00:08:47,090 --> 00:08:51,530
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+121
+00:08:51,530 --> 00:08:53,990
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+122
+00:08:53,990 --> 00:08:58,230
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+123
+00:08:58,230 --> 00:09:00,890
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+124
+00:09:00,890 --> 00:09:00,970
+اي
+
+125
+00:09:12,280 --> 00:09:17,080
+الآن اتفهمنا أن التيار مرتبط بحركة الشحنات، لو 
+
+126
+00:09:17,080 --> 00:09:21,880
+الشحنات واقفة، بتتوقع يكون في تيار؟ لأ، حسب التعريف 
+
+127
+00:09:21,880 --> 00:09:26,120
+ما فيش تيار طبعاً أنتو بتعرفوا أن أنا عشان أجبر 
+
+128
+00:09:26,120 --> 00:09:32,800
+الشحنات تتحرك لازم أخلي فرق جهد بين طرفي السلك لأن 
+
+129
+00:09:32,800 --> 00:09:34,900
+إذا خليت فرق جهد بين طرفي السلك معناه يبقى يبقى في 
+
+130
+00:09:34,900 --> 00:09:37,900
+عندي طرف موجب وطرف سالب والشحنات تتحرك من الموجب 
+
+131
+00:09:37,900 --> 00:09:41,800
+للسالب، هذا الفرق الجهد مين بيأمره دائماً في 
+
+132
+00:09:41,800 --> 00:09:45,910
+الواقع؟ البطاريات أو الـ breeze اللي هنّا احنا لما 
+
+133
+00:09:45,910 --> 00:09:49,290
+نقول الـ breeze 220 volt مش هذا فرق جهود؟ هذا فرق 
+
+134
+00:09:49,290 --> 00:09:52,750
+جهود، البطارية هي 1.5 volt هذا فرق جهود، ده 
+
+135
+00:09:52,750 --> 00:09:56,350
+طبعاً هنعرف حاجة من الراديو عشان يخرب بيروح من جزء 
+
+136
+00:09:56,350 --> 00:09:59,550
+من الـ voltmeter بيصير يعطيني ربع وعشر، بنقول خلص 
+
+137
+00:09:59,550 --> 00:10:03,790
+بطل يعطي فرق جهود كافي وبالتالي ما بيدّينيش تيار وما أقدرش 
+
+138
+00:10:03,790 --> 00:10:09,050
+أستفيد منه، إذا عشان أنا يصير في عندي تيار لابد أن 
+
+139
+00:10:09,050 --> 00:10:11,870
+يكون فيه فرق جهد بين طرفي أي سلك بده يمر فيه 
+
+140
+00:10:11,870 --> 00:10:17,490
+التيار، تمام، الآن الحركة هذه بعرف أنا ارتباطها 
+
+141
+00:10:17,490 --> 00:10:20,730
+بالسرعة بدي أجيب علاقة بين التيار والسرعة بدي أجيب 
+
+142
+00:10:20,730 --> 00:10:26,230
+علاقة بين التيار والسرعة أقول التالي consider a 
+
+143
+00:10:26,230 --> 00:10:28,790
+section of a conductor بدي أجيب سلك وآخد جزء من 
+
+144
+00:10:28,790 --> 00:10:33,050
+السلك of cross-sectional area A and length DX
+
+145
+00:10:39,460 --> 00:10:42,800
+بقول لي نبدأ في شحنات، في عندي عدة شحنات كتير من 
+
+146
+00:10:42,800 --> 00:10:48,520
+الشحنات، تمام كل شحنة شحنتها Q بيسموها charge 
+
+147
+00:10:48,520 --> 00:10:52,200
+carrier يعني الجسيم اللي حامل الشحنة زي البروتون 
+
+148
+00:10:52,200 --> 00:10:56,140
+والالكترون، هذين بيسموها charge carrier حامل شحنة أي 
+
+149
+00:10:56,140 --> 00:11:00,080
+جسيم بيحمل شحنة بيسمونه charge carrier if Q is the 
+
+150
+00:11:00,080 --> 00:11:05,290
+charge of each charge carrier ممكن تعتبر E و small
+
+151
+00:11:05,290 --> 00:11:11,830
+n هو عدد 
+
+152
+00:11:11,830 --> 00:11:16,290
+الشحنات لكل وحدة حجم في هذا السلك، كيف بدي أعرف 
+
+153
+00:11:16,290 --> 00:11:20,210
+أقل شحنة موجود مع أنه عدد الشحنات لكل وحدة حجم 
+
+154
+00:11:20,210 --> 00:11:26,270
+معروفة، بدي أعطيه small n في الحجم، طب حجم الصورة 
+
+155
+00:11:26,270 --> 00:11:27,650
+بقدر أجيبها؟ 
+
+156
+00:11:30,460 --> 00:11:35,100
+A في DX من صحة القاعدة في الارتفاع، تمام، الـ total 
+
+157
+00:11:35,100 --> 00:11:38,800
+number of charges in this section هو المفروض أن 
+
+158
+00:11:38,800 --> 00:11:43,960
+أنا جبت total charge الـ total number ايش بيساوي الـ
+
+159
+00:11:43,960 --> 00:11:48,900
+total number in بيساوي small n في الـ volume صح 
+
+160
+00:11:48,900 --> 00:11:52,680
+ولا لأ يا شباب؟ الـ 
+
+161
+00:11:52,680 --> 00:11:58,040
+total number، طب الـ volume ايش بيساوي؟ A في DX
+
+162
+00:12:01,400 --> 00:12:06,820
+n في DX هذه total number، طب لو واحد قال ليه شحنة 
+
+163
+00:12:06,820 --> 00:12:11,420
+كل واحد معروفة Q جدّيش الشحنة الكلية؟ مش بدل عدد في شحنة كل واحد؟ إذا the total charge in this
+
+164
+00:12:11,420 --> 00:12:16,080
+section هذه الشحنات هي بتتحرك إلى سبعة بتكون هذه 
+
+165
+00:12:16,080 --> 00:12:21,840
+واحد منهم شحنته Q تمام، فالشحنة الكلية بيصير small n 
+
+166
+00:12:21,840 --> 00:12:29,470
+في A DX في Q، هي طلعت الشحنة الكلية في هذا المقطع 
+
+167
+00:12:29,470 --> 00:12:35,310
+أكم شحنة فيه؟ عشان في مقطع واحد سميتها DQ، قلت طب 
+
+168
+00:12:35,310 --> 00:12:39,430
+أودي دي التيار الآن بقول التيار بيساوي DQ على DT، DQ 
+
+169
+00:12:39,430 --> 00:12:44,730
+على DT now the current produced by these charges
+
+170
+00:12:44,730 --> 00:12:49,510
+are I بيساوي DQ على DT حسب تعريفنا يامان فاضل 
+
+171
+00:12:49,510 --> 
+
+201
+00:15:02,210 --> 00:15:05,090
+along the direction of the current لأنه الإلكترون
+
+202
+00:15:05,090 --> 00:15:08,770
+عادة شباب بيمشي هيك وبالتالي لو بدي أجيب السرعة بدي 
+
+203
+00:15:08,770 --> 00:15:12,400
+المسافة هذه على الزمن مرات بيكون عندك حركات 
+
+204
+00:15:12,400 --> 00:15:17,240
+إلكترونات لكن ما فيش تيار بتكون بتخرج رايح جاي على 
+
+205
+00:15:17,240 --> 00:15:23,700
+الفاضي ما بيقطعش مسافات كتيرة تمام الآن ال
+
+206
+00:15:23,700 --> 00:15:32,240
+resistance التيار بيفوت في أسلاك والأسلاك متنوعة في 
+
+207
+00:15:32,240 --> 00:15:35,200
+عند النحاس وفي عند الفضة وفي عند المطاط وفي عند 
+
+208
+00:15:35,200 --> 00:15:40,060
+البلاستيك والزجاج ومائة ألف مادة بمادة كيف بدي 
+
+209
+00:15:40,060 --> 00:15:46,820
+أميز بينهم هذا الـsilicon ربطوه بكينونة فيزيائية 
+
+210
+00:15:46,820 --> 00:15:51,500
+جديدة سموها المقاومة الـ resistance المقاومة بيقول 
+
+211
+00:15:51,500 --> 00:15:55,320
+لي the current results by applying a potential 
+
+212
+00:15:55,320 --> 00:16:00,470
+difference between the ends of a conductorمعروفة
+
+213
+00:16:00,470 --> 00:16:03,270
+أن التيار من أين بيجي؟ إنك تجيبه فرق جهد بين طرفين 
+
+214
+00:16:03,270 --> 00:16:06,650
+و conductor هذا التيار depends on the 
+
+215
+00:16:06,650 --> 00:16:11,370
+characteristic of that conductor كمية مرتبط بنوع
+
+216
+00:16:11,370 --> 00:16:15,150
+المادة المصنوع منها السلك characteristic of that
+
+217
+00:16:15,150 --> 00:16:19,070
+conductor تمام the quantity that measures this 
+
+218
+00:16:19,070 --> 00:16:22,970
+characteristic خاصية مادة كيف بدنا نجيسها؟ قالوا 
+
+219
+00:16:22,970 --> 00:16:26,110
+خلينا نجيسها بكمية فيزيائية سموها الـ resistance
+
+220
+00:16:26,110 --> 00:16:30,630
+المقاومة resistance and the wire whose function is 
+
+221
+00:16:30,630 --> 00:16:33,750
+to provide a specific resistance is called 
+
+222
+00:16:33,750 --> 00:16:37,430
+resistor والسلك اللي بيقول عنه مقاومة إيش بيسميه 
+
+223
+00:16:37,430 --> 00:16:40,850
+برضه مقاومة احنا باللغة تبعتنا هذا مقاومة ومقاومته
+
+224
+00:16:40,850 --> 00:16:45,930
+موجودة مش لكن الـ Resistor هو السلك اللي رسمته من هنا 
+
+225
+00:16:45,930 --> 00:16:52,490
+الهيك هتكون صحيح؟ حد إيش بيسميه Resistor؟ Resistor 
+
+226
+00:16:52,490 --> 00:17:00,690
+مقاومة تمام الـ resistance R المقاومة Resistance 
+
+227
+00:17:00,690 --> 00:17:06,090
+رمزها R is defined by R بيستوي V على I قانون إيش 
+
+228
+00:17:06,090 --> 00:17:13,720
+هذا؟ هاي قانون أوم بيقول V تتناسب تناسب طردي مع I
+
+229
+00:17:13,720 --> 00:17:20,020
+ثابت التناسب هو R إيش يعني؟ بيقولي I هذه كل ما زاد 
+
+230
+00:17:20,020 --> 00:17:24,460
+فرق الجهد كل ما بيفوض التيار يزيد لأنه لما يزيد فرق 
+
+231
+00:17:24,460 --> 00:17:27,700
+الجهد شباب لو بدي ارجع ارجع واقعي أنها بتزيد 
+
+232
+00:17:27,700 --> 00:17:33,580
+القوة لأنه أنا فرق الجهد أصلا جاي من تكامل E ضد ال 
+
+233
+00:17:33,580 --> 00:17:40,100
+dL وهذه إلى ده اوز افعل Qصح أنا لأ اذا أنا لما يزيد 
+
+234
+00:17:40,100 --> 00:17:44,000
+الجهد تزيد القوة بتزيد القوة اللي بتحرك
+
+235
+00:17:44,000 --> 00:17:48,320
+الإلكترونات ولما تزيد القوة بتزيد السرعة ولما 
+
+236
+00:17:48,320 --> 00:17:52,500
+تزيد السرعة بتزيد التيار نرجع كمان مرة لو برمين
+
+237
+00:17:52,500 --> 00:17:57,560
+الماء تبعنا على العاشر وأنا ساكن في الأول ولا أنا
+
+238
+00:17:57,560 --> 00:18:02,070
+ساكن في التاسع وكيف الماء بتكون أقوى وقت إيش؟ لما 
+
+239
+00:18:02,070 --> 00:18:05,770
+أكون على الأول ليش؟ لما بيكون فرق الجهد أعلى
+
+240
+00:18:05,770 --> 00:18:09,570
+بين العاشر والأول فرق جهد لأن فرق energy في
+
+241
+00:18:09,570 --> 00:18:13,970
+نهاية الجهد هو energy عشان كده لما أنت تكون ساكن 
+
+242
+00:18:13,970 --> 00:18:19,050
+وبرمين على السطح تبعد مرات الأطفال ما بيشتغلوش لأن
+
+243
+00:18:19,050 --> 00:18:22,690
+الناس ما بدها قوة دفع بدها قوة دفع في الماء نفس 
+
+244
+00:18:22,690 --> 00:18:27,590
+العملية اللي بيمثل أو بيناظر فرق الجهد ما بين 
+
+245
+00:18:27,590 --> 00:18:31,770
+برميل الماء والمصورة اللي عندك في الدار هو فرق
+
+246
+00:18:31,770 --> 00:18:35,870
+الجهد الكهربائي كل ما زاد فرق الجهد كل ما زاد
+
+247
+00:18:35,870 --> 00:18:39,330
+التيار كل ما زاد الارتفاع الارتفاع هو بيمثل 
+
+248
+00:18:39,330 --> 00:18:44,550
+الجهد هناك كل ما زاد قوة الماء تيار الماء تمام؟
+
+249
+00:18:44,710 --> 00:18:49,550
+فهذا قانون أوم قانون عادي زود فرق الجهد بزيدي
+
+250
+00:18:49,550 --> 00:18:54,830
+التيار هناك نسبة طردية وتناسب طردي بين V و I من
+
+251
+00:18:54,830 --> 00:19:00,750
+اللي بربطهم؟ R لكن هل R تعتمد على V؟ لا ولا تعتمد 
+
+252
+00:19:00,750 --> 00:19:06,790
+على I هذا اللي دعوة بهذا لكن هذا ليس دعوة بهذا
+
+253
+00:19:06,790 --> 00:19:12,590
+بمعنى آخر هذا مقدار ثابت زي بناظر الـ capacitance C
+
+254
+00:19:14,070 --> 00:19:20,050
+C كانت تربط Q و V لكن لا Q ولا V أنهم دعوة بالـ C
+
+255
+00:19:20,050 --> 00:19:24,550
+بقى تروح على الـ C تمام V is the potential 
+
+256
+00:19:24,550 --> 00:19:27,610
+difference between the ends of a resistor فرق
+
+257
+00:19:27,610 --> 00:19:30,950
+الجهد رمزه بدل ما يقولوا Delta V اتفقنا من اليوم 
+
+258
+00:19:30,950 --> 00:19:34,730
+اطلع بنخليه V زي فرق الجهد بين طرفي الكباسيتر هنا 
+
+259
+00:19:34,730 --> 00:19:40,130
+فرق الجهد بين طرفي المقاومة أو السلك تمام هذه إيش 
+
+260
+00:19:40,130 --> 00:19:43,510
+وحدتها؟ قالوا فولت على أمبير طبعا في النهاية هذه
+
+261
+00:19:43,510 --> 00:19:47,370
+فولت كمية تجارية وبالتالي أُعطيت وحدة إيش وحدتها؟ 
+
+262
+00:19:47,370 --> 00:19:51,370
+الـΩ إذا thus a unit of resistance is volt per
+
+263
+00:19:51,370 --> 00:19:55,770
+ambeir or Ω that is واحد Ω بيساوي واحد فولت على 
+
+264
+00:19:55,770 --> 00:20:03,090
+أمبير طبعا هذا الرمز إيش بيسموه؟ Capital Omega هذه
+
+265
+00:20:03,090 --> 00:20:07,430
+إيش؟ اسمه Omega طبعا أنتم بتعرفوا Omega بتمثل حرف
+
+266
+00:20:07,430 --> 00:20:09,410
+O في اللغة اليونانية
+
+267
+00:20:12,650 --> 00:20:16,730
+طبعا احنا غالبا بناخد الرمز الإنجليزي يعني لما 
+
+268
+00:20:16,730 --> 00:20:20,570
+نقول أمبير أخذنا A لكن مشكلة أوم قالوا أوم هذا 
+
+269
+00:20:20,570 --> 00:20:24,350
+الحرف بشع شوية مش هالشين بشع بشع يعني كمنظر لا 
+
+270
+00:20:24,350 --> 00:20:27,810
+بمثل السفر فبالتالي شرّطوا منه قالوا هذا ما ينفعش
+
+271
+00:20:27,810 --> 00:20:31,070
+دوروا لك في اللغة اليونانية جنبهم قالوا هذا حلو الـ 
+
+272
+00:20:31,070 --> 00:20:35,050
+أوم الـ أوم هو الحرف الـ O في اللغة اليونانية بمثل 
+
+273
+00:20:35,050 --> 00:20:39,200
+الـ Ohm فلقوا طبعا الـ small ω هذه كانت متاخذة للـ 
+
+274
+00:20:39,200 --> 00:20:42,360
+frequency فقالوا نأخذ الـ capital فاعتمدت الـ 
+
+275
+00:20:42,360 --> 00:20:48,120
+capital O أو الـ capital ω لك حرف على الـ O طبعا 
+
+276
+00:20:48,120 --> 00:20:53,280
+تعرف أنت ساعات الـ ω بيكون هذا الحرف موجود في ساعة
+
+277
+00:20:53,280 --> 00:20:57,880
+نحو أوميجا بيكون هذا اللمس محطوط عليها فهذا هو حرف
+
+278
+00:20:57,880 --> 00:21:04,270
+الـ ω باللغة اليونانية وهو بمثل الـ Oطبعا في الرسم 
+
+279
+00:21:04,270 --> 00:21:07,690
+في الرسم احنا عرفنا الكوندكتر بيحطوا عصاية جبال 
+
+280
+00:21:07,690 --> 00:21:11,030
+عصاية والبكتيريا عصاية صغيرة وعصاية كبيرة عشان الـ
+
+281
+00:21:11,030 --> 00:21:12,950
+good and bad بتبقوا negative طب المقاومة كيف بدنا
+
+282
+00:21:12,950 --> 00:21:16,290
+نعملها؟ نعملها هي كوكبة تعرفوها مظبوط ولا لا
+
+283
+00:21:16,290 --> 00:21:19,050
+شايفينتوا المقاومات في المعمل ولا مش شايفينها مش 
+
+284
+00:21:19,050 --> 00:21:23,090
+بيكون محاطة بخشب وعليها ألوان لو جيبت شكوش وخبطت 
+
+285
+00:21:23,090 --> 00:21:27,630
+الخشب بلاجة لسلك متعوج زي هيك طب ليش عاملوله هيك
+
+286
+00:21:27,630 --> 00:21:35,450
+سلك متعوج طب ليش معمول له هيك؟ أنتم عارفين ليش بيعملوه 
+
+287
+00:21:35,450 --> 00:21:38,850
+هيك؟ عشان يقولوا إن الحركة هنا صعبة في مقاومة إن
+
+288
+00:21:38,850 --> 00:21:44,130
+الطريق مش عدل الطريق متعرجة عشان يديك إحساس إن
+
+289
+00:21:44,130 --> 00:21:47,170
+في عندك مقاومة حركة بس لكن مش الواحد يقول يا 
+
+290
+00:21:47,170 --> 00:21:49,250
+الله دي هو الخشب لو جات أعطاه بيصير السلك هذا 
+
+291
+00:21:49,250 --> 00:21:52,690
+متعوج متعوج لا برضه السلك عادي بيكون تمام؟
+
+292
+00:21:52,690 --> 00:21:55,790
+يعني هو زي زي أي سلك عادي بس بتلاقي هذا مثلا
+
+293
+00:21:55,790 --> 00:21:59,970
+من نحاس هذا من مادة مختلفة silicon ولا أي حاجة 
+
+294
+00:21:59,970 --> 00:22:06,590
+بيكون له مقاومة معينة بيقول اذا والتو حكينا it 
+
+295
+00:22:06,590 --> 00:22:10,110
+should be noted that the resistance R is 
+
+296
+00:22:10,110 --> 00:22:14,970
+independent of I or V لا يعتمد لا على I ولا على V
+
+297
+00:22:14,970 --> 00:22:17,590
+but found to be directly proportional to the 
+
+298
+00:22:17,590 --> 00:22:20,510
+length of the resistor and inversely proportional 
+
+299
+00:22:20,510 --> 00:22:25,010
+to the cross sectional area لقوا إن السلك كل ما 
+
+300
+00:22:25,010 --> 00:22:30,270
+طال مقاومته بتزيد وكل ما عرضه مقاومته بتقل برضه هذا 
+
+301
+00:22:30,270 --> 00:22:35,730
+منطقي كل ما زاد السلك طول الطريق تعب الإلكترون وهو 
+
+302
+00:22:35,730 --> 00:22:39,750
+بيتحرك معناته صار في عندي مقاومة كل ما كان السلك 
+
+303
+00:22:39,750 --> 00:22:43,410
+عريض أريحة الإلكترون يتحرك وبالتالي المقاومة 
+
+304
+00:22:43,410 --> 00:22:50,510
+أقل فلقوا إن R تتناسب طرديا مع إيه وعكسيا مع 
+
+305
+00:22:50,510 --> 00:22:55,510
+إيه ثابت التناسب بيتغير من مادة لمادة هذا الثابت
+
+306
+00:22:55,510 --> 00:23:00,410
+سموه Resistivity المقومية التوصيلية أو الموصلية 
+
+307
+00:23:00,410 --> 00:23:07,810
+عكسه تمام المقومية طبعا هذه بتساوي Ω متر لأن هذه 
+
+308
+00:23:07,810 --> 00:23:11,450
+متر وهذه متر تربيع فبتصير عندي هنا متر فهذه 
+
+309
+00:23:11,450 --> 00:23:16,410
+وحدتها Ω متر طبعا الـ Resistivity كمية علمية لكن 
+
+310
+00:23:16,410 --> 00:23:19,370
+مش تجارية فما أعطوهاش وحدة خاصة بيها قالوا خليها Ω 
+
+311
+00:23:19,370 --> 00:23:23,410
+متر تمام والـ convectivity اللي حكيت عنها عكسها 
+
+312
+00:23:24,870 --> 00:23:28,230
+و وحدتها عكسها البروشور في constants هو is called
+
+313
+00:23:28,230 --> 00:23:31,510
+the resistivity of the material of which the 
+
+314
+00:23:31,510 --> 00:23:35,150
+resistor is made تمام والـ reciprocal of the
+
+315
+00:23:35,150 --> 00:23:39,990
+resistivity عكس الـ resistivity is called the 
+
+316
+00:23:39,990 --> 00:23:44,690
+conductivity بسموها السيجما σ بساوي واحد على رو طبعا 
+
+317
+00:23:44,690 --> 00:23:49,630
+هذه وحدتها اوم متر وهذه وحدتها واحد على اوم متر
+
+318
+00:23:49,630 --> 00:23:55,790
+مش مشكلة الـ رو والسيجما للمواد هتعطيلكم موجودة في
+
+319
+00:23:55,790 --> 00:24:01,730
+الكتب وموجودة في كل المواقع حسبت في المعامل وصارت كل 
+
+320
+00:24:01,730 --> 00:24:07,830
+المادة لها قيمة معينة وتعطى وموجودة في كل المواقع 
+
+321
+00:24:07,830 --> 00:24:12,910
+ال ذات الصلة تمام حاليا عندي بعض المواد بس عشان 
+
+322
+00:24:12,910 --> 00:24:17,560
+نكون في إحساس أنواع المواد 
+
+323
+00:24:17,560 --> 00:24:21,940
+ك contactors ..  السلفر .. طبعا بيجي ورا النحاس .. 
+
+324
+00:24:21,940 --> 00:24:25,660
+طبعا احنا ليش بنفضل هذا عن هذا؟ عشان الفلوس .. 
+
+325
+00:24:25,660 --> 00:24:30,040
+عشان الرخص تمام؟ وإلا كان أخذناها الأيام هتغلق
+
+326
+00:24:39,200 --> 00:24:46,680
+مش مادة عازلة وموصلة شوفوا الـ glass قد إيش 3×10 أس 10 ثلاثة في عشرة أس عشرة هنا واحد وستة عشر في 
+
+327
+00:24:46,680 --> 00:24:51,390
+عشرة أس 16 هنا واحد وستة عشر في عشرة أس 16 هنا واحد وستة عشر في 
+
+328
+00:24:51,390 --> 00:24:54,930
+عشرة أس 8 شوفوا الفرق الشاسع بينهم عشان 
+
+329
+00:24:54,930 --> 00:24:59,710
+كده احنا نظريا بنعتبر النحاس أو الـ silver مقاومتها to 
+
+330
+00:24:59,710 --> 00:25:03,970
+zero لما نيجي نعمل مقاومة زي هي رفمة
+
+331
+00:25:07,210 --> 00:25:11,830
+هذا silicon نحاسي فأنا قد إيش باعتبر هذا مقاومته زيرو 
+
+332
+00:25:11,830 --> 00:25:16,530
+تقريبا نظريا هو قيمته بس في عشرة أس 8 غير 
+
+333
+00:25:16,530 --> 00:25:19,450
+لما يكون هذا الله أعلم مش يكون طبعا مش بالضرورة عشرة
+
+334
+00:25:19,450 --> 00:25:23,610
+وعشرة لكن في النهاية حتى لو كان قيمته خمسة غير 
+
+335
+00:25:23,610 --> 00:25:25,990
+لما يكون هذا خمسة في عشرة أس 5 وعشرة أس 10
+
+336
+00:25:25,990 --> 00:25:30,690
+يكون صغير فنظريا نحن نعتبر الـ conductors مقاومتهم
+
+337
+00:25:30,690 --> 00:25:33,430
+تقريبا زيرو طبعا كنتوا بتعرفوا الزيرو موجود في الـ
+
+338
+00:25:33,430 --> 00:25:37,250
+superconductors والـ superconductors لحد الآن 
+
+339
+00:25:37,250 --> 00:25:41,490
+ما لهوش تطبيق عملي لأنه بيصير الـ superconductors عن 
+
+340
+00:25:41,490 --> 00:25:46,890
+درجة حرارة كتير واطية كتير واطية وبالتالي تكلفة 
+
+341
+00:25:46,890 --> 00:25:50,690
+إني أجيب درجة حرارة واطية ما زالت عالية إن تكون 
+
+342
+00:25:50,690 --> 00:25:55,140
+تستخدم في الأمور العملية تمام حتى في دول أوروبا اللي
+
+343
+00:25:55,140 --> 00:25:58,500
+دالما درجة الحرارة عندهم واطية برضه بنقلها كتير من 
+
+344
+00:25:58,500 --> 00:26:05,940
+كده فوق 200 كلفن 200 Kelvin يعني أمور لسه شوية 
+
+345
+00:26:05,940 --> 00:26:10,720
+عالية هذا temperature coefficient عندنا هنعرف شباب 
+
+346
+00:26:10,720 --> 00:26:16,000
+إن درجة الحرارة بتأثر على المقاومة وبالتالي بتأثر 
+
+347
+00:26:16,000 --> 00:26:20,960
+من مادة لمادة بمعامل عندنا هناخده تمام
+
+348
+00:26:22,300 --> 00:26:29,580
+الآن بدي أنا أربط فرق الجهد والـ Convectors ربطهم
+
+349
+00:26:29,580 --> 00:26:34,940
+بقانون أوم وقلت إن R بتساوي V على I وسميته قانون 
+
+350
+00:26:34,940 --> 00:26:39,800
+أوم هذا قانون أوم إلى صيغة أخرى صيغة أشهر علميا
+
+351
+00:26:39,800 --> 00:26:45,340
+هذه صيغة مشهورة تجاريا في صيغة بيجيب لي أصل الجهد
+
+352
+00:26:45,340 --> 00:26:48,980
+وهو المجال الكهربائي بربطني بـ Resistivity بيقولي
+
+353
+00:26:48,980 --> 00:26:53,740
+خليني أشوف هالشغلة هذا السلك السلك الأحمر طوله L والـ 
+
+354
+00:26:53,740 --> 00:26:57,560
+cross sectional area تبعته A وفيه تيار هي
+
+355
+00:26:57,560 --> 00:27:03,220
+التيار طبعا في فرق جهد فيه قال لي فرق الجهد لو
+
+356
+00:27:03,220 --> 00:27:07,400
+بدك تجيبه تقدر تجيبه أصلا من شدة المجال ولا لا 
+
+357
+00:27:07,400 --> 00:27:11,480
+بقدر أجيب شدة المجال جوا هذا الـ select بيقوله اه
+
+358
+00:27:11,480 --> 00:27:16,120
+بيقوله الجهد بيساوي السالب للتكامل E ضد الـ DL
+
+359
+00:27:16,120 --> 00:27:20,400
+ذكرتوا هذا القانون؟ اذا أنا ممكن أجيب شدة المجال
+
+360
+00:27:20,400 --> 00:27:24,980
+اذا فرق الجهد معروف بيقول the potential difference V
+
+361
+00:27:24,980 --> 00:27:28,540
+is related to the electric field و بدي أفترض إن الـ
+
+362
+00:27:28,540 --> 00:27:31,360
+electric field assumed to be uniform عشان أطلعه 
+
+363
+00:27:31,360 --> 00:27:35,640
+بره التكامل دلتا DL تكامل dL قد إيش؟ L 
+
+364
+00:27:35,640 --> 00:27:39,100
+فبيقولي assumed to be uniform for the relation V
+
+365
+00:27:39,100 --> 00:27:41,840
+بيساوي E في L طبعا V السرعة بينسواها لأن أنا
+
+366
+00:27:41,840 --> 00:27:44,320
+ما أخذتها absolute value على اعتبار إن هذا الشيء هو
+
+367
+00:27:44,320 --> 00:27:46,800
+Delta V Delta V من initial لـ final أو من final لـ 
+
+368
+00:27:46,800 --> 00:27:51,520
+initial لا تفرق معايا فيها فضلات جهد هذا هو طيب
+
+369
+00:27:51,520 --> 00:27:58,920
+بيقولي لكن V بتساوي I في R V بتساوي I في R طيب إذا 
+
+370
+0
+
+401
+00:30:21,810 --> 00:30:25,730
+مصنوعة من الـ glass جدّيش المقاومة تبعتها فالحل
+
+402
+00:30:25,730 --> 00:30:31,110
+solution هذا هو هذا القرن رو
+
+403
+00:30:33,740 --> 00:30:37,740
+عشرة ثانوية متين بس بدي أحولها لصيلة 0.1 والإيه
+
+404
+00:30:37,740 --> 00:30:42,720
+هذه هي موجودة Calculator اشتغلت طلعتناها المقارنة
+
+405
+00:30:42,720 --> 00:30:49,770
+طلعت 1.4 × 10⁻⁵ Ohm طبعًا صغيرة طب مظبوطة لأ، جالي نفس
+
+406
+00:30:49,770 --> 00:30:54,550
+الستوعة نفس السلك ونفس الطول ونفس المساحة باسم
+
+407
+00:30:54,550 --> 00:30:57,830
+استوعة من الجلاص بتتوقع المقاومة زي ما هي لأ
+
+408
+00:30:57,830 --> 00:31:01,770
+الجلاص ده مدعازي لأ، جالي فايه طب من أين يجيني بروه
+
+409
+00:31:01,770 --> 00:31:06,090
+جالي برضه شحطة برضه ده عندك في الجدولة تمام شحطناها
+
+410
+00:31:06,090 --> 00:31:09,950
+وعوّضنا جبناها من الجدول طلعت واحد ونص عشر أقصى
+
+411
+00:31:09,950 --> 00:31:14,610
+تلتاشر أهم مش موجودش المقارنة كبيرة بين ناقص خمسة
+
+412
+00:31:14,610 --> 00:31:18,110
+وعشر أقصى تلتاشر فبالتالي هنا في مقاومة هناك
+
+413
+00:31:18,110 --> 00:31:21,430
+المقاومة تقريبًا negligible وبتكون approximately
+
+414
+00:31:21,430 --> 00:31:26,730
+zero تمام هذا مثال شوفوا مثال صعب؟ حتى لأ بالتالي
+
+415
+00:31:26,730 --> 00:31:31,430
+الـ quiz هذا شفته هيكون سهل إذا على الحال هي هي إن
+
+416
+00:31:31,430 --> 00:31:36,010
+شاء الله شوف كمان مثال هذا إيش مشكلته؟ بيقول
+
+417
+00:31:36,010 --> 00:31:38,990
+calculate the resistance per unit length لكل واحدة
+
+418
+00:31:38,990 --> 00:31:43,950
+الطول عشان كده مش بيعطيك الطول فإيش كمان؟ of a 22
+
+419
+00:31:43,950 --> 00:31:48,010
+-gauge-nichrome هذي اسم سابقة يا شباب يعني 22
+
+420
+00:31:48,010 --> 00:31:50,670
+-gauge-nichrome مش اللي واحد يقول 22 مين يستخدمها
+
+421
+00:31:50,670 --> 00:31:55,750
+المطايلة من أول عالم لأ تمام؟ which has a radius
+
+422
+00:31:55,750 --> 00:32:00,050
+of 0.321 millimeters يعطيك الـ radius بترى دي
+
+423
+00:32:00,050 --> 00:32:00,770
+بالمساحة؟
+
+424
+00:32:03,820 --> 00:32:07,400
+بدي .. تمام بس بدي الـ A أنا لأن الـ A كده أجيبها
+
+425
+00:32:07,400 --> 00:32:13,820
+أول بدي أجيب الـ A by Arthur B يعني مش مساحة
+
+426
+00:32:13,820 --> 00:32:19,480
+الصوارى مساحة المقطع مش مساحة الصوارى هيتركوا
+
+427
+00:32:19,480 --> 00:32:23,780
+الصوارى ده إنه أنا هذه الشيء يا شباب مش مساحة السلك
+
+428
+00:32:23,780 --> 00:32:29,880
+مساحة مقطع السلك للعرض طبعه بالجسم العرض فبالتالي
+
+429
+00:32:29,880 --> 00:32:32,660
+أول حاجة إيه بيساوي بيقعد تنبيه طلعتها بعدين
+
+430
+00:32:32,660 --> 00:32:35,520
+ما بيضالش شيء طبعًا هو بيكتبولنا الطول بقوله ما بديش
+
+431
+00:32:35,520 --> 00:32:39,840
+الطول أنا أنا بدي R على L بدي R على L وبالتالي
+
+432
+00:32:39,840 --> 00:32:44,640
+بقول Now R بيساوي رو الى على A R على L بيساوي رو
+
+433
+00:32:44,640 --> 00:32:48,840
+على A إذا R على L بيساوي رو على A رو هذه برضه تقطع
+
+434
+00:32:48,840 --> 00:32:54,020
+من في الجداول بتعطينا إياها وطلعت 4.6 only كل متر
+
+435
+00:32:54,020 --> 00:33:00,400
+يعني كل متر 4.6 لو اتنين متر بضربها في اتنين وهذه
+
+436
+00:33:00,400 --> 00:33:08,280
+مثال كتير سهل مافيش عندي مشكلة برضه شغلة سهلة
+
+437
+00:33:08,280 --> 00:33:12,020
+أو بنات شنجاف عندها كتير هو علاقة المقاومة مع درجة
+
+438
+00:33:12,020 --> 00:33:12,600
+الحرارة
+
+439
+00:33:15,050 --> 00:33:18,730
+الآن إيش بتسوي ضيوف الحرارة في الحركة وفي الأمور؟
+
+440
+00:33:18,730 --> 00:33:23,470
+بيقول لي اتفقنا أن التيار الكهربائي هو حركة شحنات
+
+441
+00:33:23,470 --> 00:33:27,770
+جوا المادة، في عندي فرق جهد، الإلكترون كان فيه،
+
+442
+00:33:27,770 --> 00:33:33,250
+اتحرك، طب هو بيتحرك جوا، جوا السلك، فاضل السلك زي
+
+443
+00:33:33,250 --> 00:33:39,020
+الماء ما هي بتمشي بمواسير فارغة؟ لأ، لأن السلك من
+
+444
+00:33:39,020 --> 00:33:41,860
+داخله ليس فاضي، لو كان فاضي بيتحرك، يصيب وسط عازل،
+
+445
+00:33:41,860 --> 00:33:46,400
+يصيب فلعب، إذا السلك من داخله عبارة عن مادة، وهذه
+
+446
+00:33:46,400 --> 00:33:51,640
+المادة فيها سكان، وسكان المادة atoms، سكان المادة
+
+447
+00:33:51,640 --> 00:33:56,490
+atoms، هجيتها من داخلها ممكن تتحرك هدول الـ atoms إذا
+
+448
+00:33:56,490 --> 00:34:00,470
+كانوا صعبين ومشاغبين بيخلونك تتحرك بسهولة صح ولا
+
+449
+00:34:00,470 --> 00:34:03,890
+لأ؟ هتتصور إن أنت بدك تمشي في شارع معاك سيارة بدك
+
+450
+00:34:03,890 --> 00:34:07,590
+تمشي في شارع الشارع في سيارات مين أسهل لك تمشي في
+
+451
+00:34:07,590 --> 00:34:10,370
+سيارات في شارع في سيارات واقفة وسيارات بتتحرك ها؟
+
+452
+00:34:11,490 --> 00:34:15,070
+الواقفة حصلة لما تكون واقفة تطلع أنت وانفرغات
+
+453
+00:34:15,070 --> 00:34:18,310
+وبتضرب غيارات خط وبتمشي لكن لما تكون متحركة وأنت
+
+454
+00:34:18,310 --> 00:34:21,770
+ماشي بتضرب في سيارة عينة بتنجرف بتنام ولا لأ؟
+
+455
+00:34:21,770 --> 00:34:27,410
+وبالتالي كل ما كان السكان قليلين حركة وهم الـ atoms
+
+456
+00:34:27,410 --> 00:34:31,690
+بيكون حركة الإلكترونات وبالتالي التيار أسهل الـ
+
+457
+00:34:31,690 --> 00:34:36,700
+atoms إيش اللي بيخلي حركتهم تزيد؟ درجة الحرارة لأن
+
+458
+00:34:36,700 --> 00:34:39,220
+إذا كنت ذاكرين زمان حكينا في المادة، المادة الـ
+
+459
+00:34:39,220 --> 00:34:44,560
+atoms هدول بيكونوش ساكتين عند كل ما زادت الحرارة،
+
+460
+00:34:44,560 --> 00:34:48,060
+بيهتزوا، بيعملوا حركة توافقية بسيطة، كل ما زادت
+
+461
+00:34:48,060 --> 00:34:52,310
+الحرارة هذه الحركة بتزيد عشان كده إحنا قلنا simple
+
+462
+00:34:52,310 --> 00:34:56,330
+harmonic motion تُعطى كمثال لإن هنا أهميتها لإن
+
+463
+00:34:56,330 --> 00:34:59,470
+تركيبة دول في المادة هي simple harmonic motion
+
+464
+00:34:59,470 --> 00:35:03,850
+درجة الحرارة تزيد من حركة الـ atoms داخل المادة
+
+465
+00:35:03,850 --> 00:35:09,310
+وبالتالي بتخلّ من إمكانية حركة الشحنات لما يكون في
+
+466
+00:35:09,310 --> 00:35:15,070
+عندي فرق جذب فبالتالي درجة الحرارة بتزود المقاومة
+
+467
+00:35:15,070 --> 00:35:19,110
+وعرفنا ليش يعني بتزود حركة الـ atoms بيقول it is
+
+468
+00:35:19,110 --> 00:35:22,850
+found that resistivity increases with temperature
+
+469
+00:35:22,850 --> 00:35:27,070
+increases with temperature كم بالزيت أقل وده
+
+470
+00:35:27,070 --> 00:35:31,890
+بقانون طبعًا عكس اللي هو الـ semiconductors في الـ
+
+471
+00:35:31,890 --> 00:35:37,130
+semiconductor الحرارة بتزود ده التيار يعني بقلل
+
+472
+00:35:37,130 --> 00:35:41,240
+المقاومة ليه في الـ semiconductor في مشكلة في الـ
+
+473
+00:35:41,240 --> 00:35:45,320
+semiconductor بدك حرارة تنجو للإلكترون من الحزمة
+
+474
+00:35:45,320 --> 00:35:50,020
+التكافؤية للحزمة الموصلية أما في الـ conductors لأ
+
+475
+00:35:50,020 --> 00:35:52,840
+في الـ conductors أصلاً الإلكترونات موجودين في الـ
+
+476
+00:35:52,840 --> 00:35:56,080
+convection band already موجودين فبالتالي يبقيهم
+
+477
+00:35:56,080 --> 00:36:00,500
+يتحركوا ما بدهمش يكونوا السكان مشاغبين يكونوا
+
+478
+00:36:00,500 --> 00:36:04,040
+ساكتين كل ما زادت الحرارة جلّت مش هنجول في الحرارة
+
+479
+00:36:04,270 --> 00:36:08,930
+بتزيد الحركة وفي الشتاء الناس بتبص وبتظل ساكنة و
+
+480
+00:36:08,930 --> 00:36:12,130
+هذا بالكلام بنطبق على الـ atoms فلما تكون تتحرك
+
+481
+00:36:12,130 --> 00:36:15,930
+قليلاً بتظل تبصّين قاعدين زواد الحرارة بتكتر حركتهم
+
+482
+00:36:15,930 --> 00:36:19,690
+وبالتالي بتزيد المقاومة طبعًا العلاقة اللي وجدوها
+
+483
+00:36:19,690 --> 00:36:23,610
+كان رو  = رو نوت + one plus alpha T minus T نوت
+
+484
+00:36:23,610 --> 00:36:28,450
+هجدّيش رو نوت جالي resistivity عن T نوت والرو ده
+
+485
+00:36:28,450 --> 00:36:32,230
+resistivity الـ T هذه Alpha ثابت يعتمد على المادة
+
+486
+00:36:32,230 --> 00:36:37,510
+بمعنى آخر استجابة المادة ده للحرارة تختلف من نوع
+
+487
+00:36:37,510 --> 00:36:41,830
+لنوع وكل مادة إلها ألف خاصة بيها ثم تويه شفنا في
+
+488
+00:36:41,830 --> 00:36:44,050
+الـ table والـ raw و raw not are the
+
+489
+00:36:44,050 --> 00:36:47,570
+resistivities of T and T not respectively
+
+490
+00:36:47,570 --> 00:36:51,330
+similarly it is found ده طبعًا لو حطينا R وهنا R not
+
+491
+00:36:51,330 --> 00:36:55,970
+نفس القانون بطلعه هو برضه ممكن نحل عليهم أمثلة لأن
+
+492
+00:36:55,970 --> 00:37:00,150
+طبعًا على اعتبارنا المثابتين فهذه القانون أو هذه
+
+493
+00:37:00,150 --> 00:37:03,890
+القانون بس بالدين المعلومة اللي بدنا إياها إنه إيش
+
+494
+00:37:03,890 --> 00:37:09,450
+بيصير في المقاومة مع درجة حرارة بالزيت دماغ هذا
+
+495
+00:37:09,450 --> 00:37:14,870
+اللي بدنا إياه طبعًا المقاومة لـ conductors الآن
+
+496
+00:37:14,870 --> 00:37:20,990
+موضوع شوية بنبدأ من الموضوع الحسابية electric power
+
+497
+00:37:22,300 --> 00:37:26,340
+القدرة الكهربية هجيتها يا شباب إحنا القدرة أخدناها
+
+498
+00:37:26,340 --> 00:37:32,360
+في الفيزياء ولا لأ القدرة مين يذكرني فيها وعلى إيه
+
+499
+00:37:32,360 --> 00:37:38,800
+أو الزمن أيام حاكينا وقتيش بصير مفهوم القدرة له
+
+500
+00:37:38,800 --> 00:37:44,620
+هُنية لما يدخل الزمن وأنا ضابط مثال في الفيزياء أعدّه
+
+501
+00:37:44,620 --> 00:37:49,370
+ويقول في عندي حمار وفي عندي حصان من أجله الحصان
+
+502
+00:37:49,370 --> 00:37:53,350
+عارف إيه؟ الاتنين اللي قلناه محلّته هدّلهم الاتنين
+
+503
+00:37:53,350 --> 00:37:56,390
+ممكن يحلّوا هدّلهم نقول الحمار أعمل شغل والحصان
+
+504
+00:37:56,390 --> 00:37:59,030
+أعمل شغل والاتنين نفس الشغل هذا عارف دلوم وهذا
+
+505
+00:37:59,030 --> 00:38:01,910
+عارف دلوم لكن الحصان لو أعمل ساعة لحمار كم ساعة
+
+506
+00:38:01,910 --> 00:38:06,350
+بيدوم؟ بدوام ممكن ندوّيه صح ولا لأ؟ عشان كده نقول
+
+507
+00:38:06,350 --> 00:38:11,750
+الحصان أنشط قدرته على تمام؟ إذا الوقت اللي بيجي مفهوم
+
+508
+00:38:11,750 --> 00:38:14,950
+القدرة لما يدخل الزمن برضه تدينا مثال أقرب على
+
+509
+00:38:14,950 --> 00:38:18,440
+الكهرباء هو موتور المية اللي برفقلكم المية فوق
+
+510
+00:38:18,440 --> 00:38:21,600
+البراميل في عندنا حصان في ثلاثة وفي حصان ونص وفي
+
+511
+00:38:21,600 --> 00:38:24,320
+في ثلاثة أحصان صح أو لا لأ حاجات أن تقولانكم برميل
+
+512
+00:38:24,320 --> 00:38:29,680
+فوق الألف وخمس بيت لتر كوب ونص في الآخر أبو الحصان
+
+513
+00:38:29,680 --> 00:38:33,840
+وأبو الثلاثة أحصان هيقبل هي البرميل تمامًا لأ، الشغل
+
+514
+00:38:33,840 --> 00:38:37,940
+واحد لكن ليش أنا بديّب أبوه حصان ونص عشان بدي
+
+515
+00:38:37,940 --> 00:38:42,670
+أسرع مضبوط أن المية ما تجيش عشرة ساعات، بتجيها
+
+516
+00:38:42,670 --> 00:38:46,370
+ساعتين، بدنا نعدّيها البراميل ونخلص، بالتالي بنجيب
+
+517
+00:38:46,370 --> 00:38:52,770
+موتور قدرته أعلى، عشان يعمل نفس الشغل بزمن أقل،
+
+518
+00:38:52,770 --> 00:38:56,150
+إذا لما ندخل الزمن على الشغل، بيصير عندنا مفهوم
+
+519
+00:38:56,150 --> 00:39:03,510
+القدرة، طيب، المية بدأت تطلع فوق، هنا الشحنات بدأت
+
+520
+00:39:03,510 --> 00:39:09,150
+تطلع فوق، الشحنات بتطلع فوق ففي تشابه كبير بين
+
+521
+00:39:09,150 --> 00:39:13,910
+المية والشحنات تيار مية تيار شحنات قدرة البطارية
+
+522
+00:39:13,910 --> 00:39:17,230
+زي ما طول المية عكالة البطارية زي النفورة أيامها
+
+523
+00:39:17,230 --> 00:39:21,230
+هي جت electric power طب الـ power هناك كانت واحدة
+
+524
+00:39:21,230 --> 00:39:24,250
+اتهواطه هنا إيش بتكون واحدة اتهاطي برضه واط نفس
+
+525
+00:39:24,250 --> 00:39:27,650
+القضية بيقول consider the circuit shown in the
+
+526
+00:39:27,650 --> 00:39:32,780
+figure هاي المية تبعتنا حاجات إحنا المية بنعدّيها
+
+527
+00:39:32,780 --> 00:39:35,240
+فوق في البراميل بنخزنها وبنخليها جوا في البراميل
+
+528
+00:39:35,240 --> 00:39:39,420
+وخلاص ليش بنعدّيها في البراميل عشان بتنزلها عشان
+
+529
+00:39:39,420 --> 00:39:43,400
+تعود تنزل في المصورة تمام حاجات لما تفتحوا المصورة
+
+530
+00:39:43,400 --> 00:39:47,500
+بدكم مضطرين ينزلها ولا تنزل لحالها تنزل لحالها
+
+531
+00:39:47,500 --> 00:39:50,920
+لأنهم ينقلي وبتنزل تحت أنتم بدكم مضطرين ترفعوها
+
+532
+00:39:50,920 --> 00:39:55,020
+فوق تمام فهو موتور المية اللي بيطلّعها فوق هو هذه
+
+533
+00:39:55,020 --> 00:39:58,980
+البطارية بيطلّعها المية من هنا لهنا هنا السالب وهنا
+
+534
+00:39:58,980 --> 00:40:03,400
+الموجب من واطلع عالي بعد كده بعد ما تصل هنا لحالها
+
+535
+00:40:03,400 --> 00:40:06,340
+بتنزل فتحت المصورة نزلت طبعًا مافيش ممكن هي تنزل
+
+536
+00:40:06,340 --> 00:40:11,260
+هيك هي تنزل الطريق تاني لأنه هنا بطلع بس فتنزل هنا
+
+537
+00:40:11,260 --> 00:40:14,800
+إيش بيصير يا شباب إن الشحنات وهي ماشية هنا ماشية من
+
+538
+00:40:14,800 --> 00:40:19,420
+هنا لهنا بتكتسب طاقة إيش اللي خلال الميانين تنزل
+
+539
+00:40:19,420 --> 00:40:23,980
+طاقة الوضع تبعتها نزلتها إذا الـ motor كسبها طاقة
+
+540
+00:40:24,460 --> 00:40:28,880
+نظّمت بهذه الطاقة واتحولت لطاقة حركة وصارت عندي
+
+541
+00:40:28,880 --> 00:40:33,220
+فتحة مسئولة وديتني مية وإيها سرعة مش بسيطة مرات
+
+542
+00:40:33,220 --> 00:40:39,120
+بتكون، بيقول لي هي تيار أنا طبعًا على اتفاقنا تيار
+
+543
+00:40:39,120 --> 00:40:44,060
+وشحنات الموجة بقى بيقول a positive charge dq
+
+544
+00:40:44,060 --> 00:40:49,800
+will gain potential هتكتسب طاقة لما تطلع from
+
+545
+00:40:49,800 --> 00:40:53,420
+point A to point B through the battery لأنه من
+
+546
+00:40:53,420 --> 00:40:57,900
+الواطل الألي من A لـ B مش A سلبية وB موجبة في
+
+547
+00:40:57,900 --> 00:41:01,490
+البطارية زي لما هادي بتطلّعها اكتسبت طاقة ولا ما
+
+548
+00:41:01,490 --> 00:41:05,530
+اكتسبتش طاقة؟ اكتسبت طاقة والطاقة هتخزنها تفلتها
+
+549
+00:41:05,530 --> 00:41:09,950
+تفقدها تعاود تتحول لطاقة حركة زي المية طلعت أنا
+
+550
+00:41:09,950 --> 00:41:14,050
+المية فوق المية صار فيها عندها طاقة واضح افتح
+
+551
+00:41:14,050 --> 00:41:18,210
+المصورة بتنزل المية وتتحول طاقة الوضع لطاقة حركة
+
+552
+00:41:18,210 --> 00:41:22,870
+تقول لي هام وهي طالعة المية ما بتطلعها طلعت لحالها
+
+553
+00:41:22,870 --> 0:41:26,730
+ولا بطارية طلعتها؟ الموتور اللي هو البطارية البطارية
+
+554
+00:41:26,730 --> 00:41:32,110
+طلعتها، إذا هذه طلعت بفعل قوة خارجية، والقوة
+
+555
+00:41:32,110 --> 00:41:35,730
+الخارجية هي البطارية، إذا صار في شغل انبدل، هذا
+
+556
+00:41:35,730 --> 00:41:39,430
+الشغل اللي تخزن جوه عليه الطاقة، فاكتسب الطاقة، طب
+
+557
+00:41:39,430 --> 00:41:40,190
+هذه الطاقة
+
+558
+00:41:42,960 --> 00:41:54,340
+نفس الهواء يخسر نفس الهواء نفس الهواء يخسر
+
+559
+00:41:54,340 --> 00:41:57,940
+نفس الهواء نفس الهواء نفس الهواء نفس الهواء نفس
+
+560
+00:41:57,940 --> 00:42:01,730
+الهواء نفس الهواء نفس الهواء إذا هذا النزول يا شباب
+
+561
+00:42:01,730 --> 00:42:06,470
+نزول طبيعي أما المش طبيعي إنها تطلع من A لـ B وهذه
+
+562
+00:42:06,470 --> 00:42:09,210
+المش طبيعي من ساعة ده هي بطارية هي شغّلت البطارية
+
+563
+00:42:09,210 --> 00:42:13,810
+وعكينا زمان إنه البطارية شغلتها تدفع الشحنات من
+
+564
+00:42:13,810 --> 00:42:17,350
+واطي للعالي هي شغلتها تدفع الشحنات من واطي للعالي
+
+565
+00:42:17,350 --> 00:42:21,290
+ومن عالي لواطي بعدين الشحنات تنزل لحالها بفعل قوة
+
+566
+00:42:21,290 --> 00:42:25,310
+الجذب والتنافر الطبيعية تمام طيب كيف بيجي أحسبها
+
+567
+00:42:25,310 --> 00:42:29,850
+ده اللي سهل الـ potential energy بقدر أجيبها إما هي
+
+568
+00:42:29,850 --> 00:42:32,390
+عبارة عن الشغل والشغل بيسا
+
+601
+00:45:08,660 --> 00:45:13,280
+العداد بيجري لما أفتح الكمبيوتر زي ما بيجري لما
+
+602
+00:45:13,280 --> 00:45:19,520
+بدي أشغل الغطمر؟ لأ إذا إيش الفراج؟ بقولوا القدرة هي
+
+603
+00:45:19,520 --> 00:45:24,070
+بتلعب دور، القدرة هي اللي بتلعب الدور عشان كده كل 
+
+604
+00:45:24,070 --> 00:45:28,870
+جهاز كهربائي بيكون مكتوب عليه القدرة ولا لأ؟ ليش؟
+
+605
+00:45:28,870 --> 00:45:31,750
+هم بيقولوا لك عشان نسبّي يعرف أنه الكهربا يبدو يدفع
+
+606
+00:45:31,750 --> 00:45:36,110
+أخر الشهر جديش لازم يعمل حساباته تمام؟ احنا 
+
+607
+00:45:36,110 --> 00:45:40,510
+بتفرّج معانا تمام؟ في كل جهاز بتلاقيه حتى اللابتوب 
+
+608
+00:45:40,510 --> 00:45:46,270
+اللي لازم يكون في مكان ما بيكون كاتب جديش القدرة
+
+609
+00:45:46,270 --> 00:45:49,890
+طبعًا أيّ جهاز حتى الجوال تبعك بيكون مكتوب
+
+610
+00:45:49,890 --> 00:45:54,250
+عليه، طبعًا ما بعرفش أنت عمّك سنس على الأجهزة اللي في
+
+611
+00:45:54,250 --> 00:45:59,050
+داركم ولا لأ، جديش الـ watt تبعتها؟ منّي اديني المثال
+
+612
+00:45:59,050 --> 00:46:07,210
+إيش اللى ... خلّينا نقول المكواة، المكواة جديش؟ طبعًا
+
+613
+00:46:07,210 --> 00:46:13,280
+المكواة جديش؟ المكواة المكواة اللي عندك هيك كتير
+
+614
+00:46:13,280 --> 00:46:16,760
+يعتبر أنا بعرف يعني المكواة اللي كبيرة فيها 900
+
+615
+00:46:16,760 --> 00:46:20,920
+تقريبًا 900 وات، وات، ومتين، بكلّ عامة طبعًا الأنواع 
+
+616
+00:46:20,920 --> 00:46:24,300
+بتختلف شباب، ممكن يكون بس على الأقل اللي أنا عندي
+
+617
+00:46:24,300 --> 00:46:29,940
+900 تمامًا يمكن الحياة حسب الأنواع اللي موجودة
+
+618
+00:46:29,940 --> 00:46:34,340
+المكواة برضه بتختلف، المكواة العادية غير عن المكواة 
+
+619
+00:46:34,340 --> 00:46:37,320
+البخار، البخار ممكن تطلع من الف وأربعمية وتطلع
+
+620
+00:46:37,320 --> 00:46:41,760
+لحد ممكن الف وتمانية بتوصل لكن المكواة العادية مش 
+
+621
+00:46:41,760 --> 00:46:44,880
+على البخار أقل من الف، ممكن توصل تمانية سبعمية و
+
+622
+00:46:44,880 --> 00:46:49,800
+خمسين، لكن أكتر دي هاد ممكن في الضرب يه تندير في
+
+623
+00:46:49,800 --> 00:46:54,220
+البخار، خمس مش كتير، الف وخمسماية، اه في أقعد منها
+
+624
+00:46:54,220 --> 00:46:59,340
+الشايّفة بتسخّن فيه الميه عشان تعمل الشاي، عاقّاتة ألف
+
+625
+00:46:59,340 --> 00:47:07,960
+أو ألفين بحدود ألفين، ألفين، الـ boiler أنا ممكن أنا 
+
+626
+00:47:07,960 --> 00:47:11,840
+أفتكرش الـ boiler تبع الميه السخان هذا حد بيوصل
+
+627
+00:47:11,840 --> 00:47:16,340
+تلت الف وخمسماية، وممكن يوصل خمس تلف، طبعًا الغطمر
+
+628
+00:47:16,340 --> 00:47:19,580
+إقرؤه على الغطمر، اللي عنده غطمر هيلاقى فيه زرار 
+
+629
+00:47:19,580 --> 00:47:22,740
+زرار، ماهو واحد اثنين ثلاثة بيكون مكتوب لك كل
+
+630
+00:47:22,740 --> 00:47:27,140
+زر قداش الـ power تبعة بيوصل لـ 3500 شباب على تلاتة
+
+631
+00:47:27,140 --> 00:47:34,220
+3500، التلاجة هو أكثر جهاز بيسحب في الدار لكن هو 
+
+632
+00:47:34,220 --> 00:47:39,650
+الف تقريبًا، لكن إيش مشكلته؟ شغالة 24 ساعة، غير عن الـ
+
+633
+00:47:39,650 --> 00:47:42,410
+boiler أو الغطمر، الغطمر الواحد بيشغله خمسة عشر دقيقة
+
+634
+00:47:42,410 --> 00:47:45,870
+ساعة وبيطفيه، المكواة بيشغّلها نص ساعة وبيطفّيها، لكن
+
+635
+00:47:45,870 --> 00:47:49,350
+التلاجة بيبقى شغالة، وين ما كان التلمستات بيوفّر كتير 
+
+636
+00:47:49,350 --> 00:47:53,190
+أنه عشان كده بيقولوا توصية لما تفتح باب التلاجة
+
+637
+00:47:53,190 --> 00:47:56,610
+ما تخليوش الأولاد الصغار يلعبوا فيها، لأن كل ما فتحت
+
+638
+00:47:56,610 --> 00:48:00,590
+التلاجة كل ما راحت الحرارة وبالتالي تلزم تشغيل
+
+639
+00:48:01,830 --> 00:48:04,650
+الشغلة اللي بدنا نكمّلها للشباب شغلة ثانية برضه
+
+640
+00:48:04,650 --> 00:48:08,770
+معلومة عامة، الآمانات اللي برا بتعرفوها قبل أنكم
+
+641
+00:48:08,770 --> 00:48:12,490
+تطلّعتوا عليها، كلهم زي بعض، إيش فيه ميلي ميجوليش
+
+642
+00:48:12,490 --> 00:48:18,370
+مكتوب عليها 16 إيش أمبير، في 16 أمبير وفي 8 أمبير 
+
+643
+00:48:18,370 --> 00:48:22,070
+أو 10 أمبير، العشرة أمبير شباب بيعطوها بس للإنارة
+
+644
+00:48:23,210 --> 00:48:26,210
+والدار بيجسّموها ما بين إنارة ما بين بريزات قوة 
+
+645
+00:48:26,210 --> 00:48:29,970
+لبريزات، قبل الحاجة بيعملوها 16 أمبير، طبعًا المفروض
+
+646
+00:48:29,970 --> 00:48:34,530
+يكون فيه أكتر، مرات لما تيجي أنت تحطّ الـ boiler واحد
+
+647
+00:48:34,530 --> 00:48:37,750
+بيغيّر لك الأمان، بيجيب لك واحد أكتر من 16 أمبير، بيشتغل
+
+648
+00:48:37,750 --> 00:48:43,350
+عليها، هذه القاعدة power بيساوي I في V إذا ما قدر 
+
+649
+00:48:43,350 --> 00:48:48,150
+أقول I بيساوي الـ power على V، مظبوط شباب؟ اتطلّعوا 
+
+650
+00:48:48,150 --> 00:48:53,730
+قديش هذه؟ هذه 223 دقيقة وهذه 229 دقيقة على اعتبار 
+
+651
+00:48:53,730 --> 00:49:00,230
+229 دقيقة، نيجي نشوف خلّاني أقول في المطبخ في الـ boiler 
+
+652
+00:49:00,230 --> 00:49:07,770
+بحتوت ونقول الـ boiler 3500 وات، نشوف التيار إذا
+
+653
+00:49:07,770 --> 00:49:15,690
+فجوز الـ 16 أمبير بنزّل الأمان هذا هتلاقي 3522 وات
+
+654
+00:49:15,690 --> 00:49:21,010
+ما أعرف كم تطلع، يمكن حوالي 15 أمبير تقريبًا، احسبها،
+
+655
+00:49:21,010 --> 00:49:25,010
+مين معاها كان كلتها؟ تلات تلاف وخمسماية على ماتين
+
+656
+00:49:25,010 --> 00:49:28,490
+وعشرين، اه أعطى أي جوال قلت لك، أنا جيت وبيتذمرش
+
+657
+00:49:28,490 --> 00:49:28,990
+إن كان كلتها
+
+658
+00:49:35,320 --> 00:49:40,380
+لو التلاجة شغّالة بيصير فيه بيفصل لو تلجة نفس
+
+659
+00:49:40,380 --> 00:49:44,380
+المطبخ عادي كده في المطبخ بحاجة كهربائية بيعملوا
+
+660
+00:49:44,380 --> 00:49:48,560
+توزيع أنه مش كل الابريز في المطبخ تكون على نفس 
+
+661
+00:49:48,560 --> 00:49:52,800
+الأنبوبة وإلا لو أنا على نفس الابريز حاطط تلاجة
+
+662
+00:49:52,800 --> 00:49:57,350
+وحاطط مثلّر وحاطط نفس الـ boiler هينزلش، بتحملش 
+
+663
+00:49:57,350 --> 00:50:03,250
+لأنه فوق الـ 16، مين بينزل مرة ما هو بيعملوها أمان
+
+664
+00:50:03,250 --> 00:50:06,350
+أكتر لكن هو لما يحطّوا 16 أمبير معناته maximum
+
+665
+00:50:06,350 --> 00:50:11,330
+تبعتة 16 أمبير هي هيك مصنوعة طبعًا أنتو عارفين أنه
+
+666
+00:50:11,330 --> 00:50:15,450
+ليش هيك عاملينه؟ بيقول لك إذا علق وما نزلش الأمان
+
+667
+00:50:15,450 --> 00:50:19,910
+بالسلوك اللي جوا الحيطان بتسيحوا هيت، عادي تطلعها
+
+668
+00:50:19,910 --> 00:50:23,710
+ممكن بيبقى تهيت كل وقتها عشان تعمل مشكلة تمام أو 
+
+669
+00:50:23,710 --> 00:50:26,190
+ممكن تصيب طبعًا حريق أو حاجة زي ذلك، فلأ أما لا
+
+670
+00:50:26,190 --> 00:50:29,490
+تجهّزت لهذه القضية، طبعًا بتعرفوا برضه أن أحيانًا 
+
+671
+00:50:29,490 --> 00:50:32,690
+الابريز اللي محمل عليه شغلات بيها بسيح، صح ولا لأ؟
+
+672
+00:50:32,690 --> 00:50:36,530
+فهذه السيحة اللي ممكن تكون في السلك لجوه، تمام؟
+
+673
+00:50:36,530 --> 00:50:39,470
+وعادي والله بسيح يعني في النهاية ده إذا أنت محمل
+
+674
+00:50:39,470 --> 00:50:43,650
+عليه شغلات كتيرة بسيح خصوصًا أمور التفخيل الـ الـ
+
+675
+00:50:43,650 --> 00:50:47,150
+atmos والـ والـ boilers والـ وفرن الكعبة والسخان 
+
+676
+00:50:47,150 --> 00:50:51,590
+حدّ شغلات كتيرة طبعًا، ممكن واحد بيستخدم ممكن
+
+677
+00:50:51,590 --> 00:50:57,020
+المكيّف بفكرته بيصحى بكتير لكن هو الف مش أكثر، يعني زي 
+
+678
+00:50:57,020 --> 00:51:00,680
+زي أقل من مكواة بس مش شغال كتير مرات يعني
+
+679
+00:51:00,680 --> 00:51:04,120
+احنا في بلادنا مش شغال كتير في الصعودية وفي
+
+680
+00:51:04,120 --> 00:51:07,660
+بلاد الخليج بـ بتفيش، هي هذه النقطة بس احنا في 
+
+681
+00:51:07,660 --> 00:51:12,300
+النهاية مهما اتشوّج تشغله شهر ولا شهرين وبس، هناك 
+
+682
+00:51:12,300 --> 00:51:15,980
+أنا مرة روحت شهر واحد في جدة كانوا مش شغالين 
+
+683
+00:51:15,980 --> 00:51:19,080
+المكاير شهر واحد، الحين أنا أنا أربعينية كنا مش
+
+684
+00:51:19,080 --> 00:51:23,880
+شغالين المكاير، فالجو مختلف من منطقة لمنطقة تمام
+
+685
+00:51:26,250 --> 00:51:29,330
+إذا احنا الفاتورة تبعتنا طبعًا بتتحصد بناء على ذلك
+
+686
+00:51:29,330 --> 00:51:34,230
+طبعًا برضه عشان نيجي نتصوّر احنا كيف بنسحب وهم
+
+687
+00:51:34,230 --> 00:51:38,190
+بيقولوا كام جيجا بيزا من غزة وجديش احنا بنسحب و
+
+688
+00:51:38,190 --> 00:51:41,690
+عشان كده مش يمكفينا وروحنا أركاننا على حالنا و
+
+689
+00:51:41,690 --> 00:51:45,250
+طلعنا مش نافعين في الآخر، مكاننا بدون محطة كنا 
+
+690
+00:51:45,250 --> 00:51:49,170
+عايشين زمان، لما عملنا محطة طولها مش عارفين نجيب لها
+
+691
+00:51:49,170 --> 00:51:55,130
+صلاة عشان نشغّلها ونفصل الأمور على كلّ حوال بتصير
+
+692
+00:51:55,130 --> 00:51:59,790
+عملية السحب بناء على الأجهزة اللي مش شغالة مرة كان
+
+693
+00:51:59,790 --> 00:52:03,050
+عندي واحد في من محطة الكهربا بيقول من بعض
+
+694
+00:52:03,050 --> 00:52:06,330
+الأفكار اللي قاعدين يفكّروا فيها أنه نصير نعطي بدل ما
+
+695
+00:52:06,330 --> 00:52:11,610
+نطفي completely على منطقة نعطيهم أمبير بسيط يشغّل
+
+696
+00:52:11,610 --> 00:52:14,750
+بس إنارة، ممكن هو العادي فكرة جيدة إذا كانوا يعرفوا
+
+697
+00:52:14,750 --> 00:52:19,300
+يطبقوها، يعني بمعنى آخر أنه يخلّوا مثلًا ست ساعات فقط
+
+698
+00:52:19,300 --> 00:52:24,580
+في النهار يعطوا كهربا كاملة تشغّل بدكية وباقي
+
+699
+00:52:24,580 --> 00:52:27,160
+النهار بعد ما تكون طافت يدك أنهارة تشغّل إنارة و
+
+700
+00:52:27,160 --> 00:52:31,480
+تشغّل تلفزيون تدرس وتعمل quiz وكل حاجة
+
+701
+00:52:33,870 --> 00:52:39,470
+فهذه من أفكار جديدة لأنه كل ما زودت أنت السحب
+
+702
+00:52:39,470 --> 00:52:46,170
+بزودي الحمل على المحطة، بي بطّل يكفي الشجرة، ومشكلتنا 
+
+703
+00:52:46,170 --> 00:52:49,330
+أننا فينا نسبة كبيرة بتتفعش
+
+704
+00:52:51,710 --> 00:52:56,190
+وهذه مشكلة ومشكلة كبيرة وأنا بعتبرها مسؤولية لأ 
+
+705
+00:52:56,190 --> 00:52:59,130
+المفروض أنّه حل، يعني في النهاية بدنا نفرّخ ما بين أن
+
+706
+00:52:59,130 --> 00:53:04,370
+واحد ما بقدرش يدفع وواحد بيدفع، اللي ما بقدرش يدفع المفروض
+
+707
+00:53:04,370 --> 00:53:08,430
+كله حل، يعني في النهاية بس برضه اللي ما بقدرش يدفع أنا 
+
+708
+00:53:08,430 --> 00:53:13,370
+اللي بقدر أدفع أصحب 200 هو عشان مش بقدرش يصحب ألف 
+
+709
+00:53:13,370 --> 00:53:17,330
+والخمسماية ليش؟ لأنه مبدأ اللي بلاش كثر منه، بالنهاية
+
+710
+00:53:17,330 --> 00:53:22,590
+بيصير يطبخ على الكعبة وبيشغّل الدفايات في كلّ دار
+
+711
+00:53:22,590 --> 00:53:26,030
+طالع منها نازل منها و بيدفعش، بتتفرّد جسمهم غير لو 
+
+712
+00:53:26,030 --> 00:53:30,630
+واحد لما يكون بيدفع، فتدفع الغربية لأن الكهربا كيف 
+
+713
+00:53:30,630 --> 00:53:35,050
+هي معمولة، كروت، كروت زي كارت جوال بتحطّها، الكهربا
+
+714
+00:53:35,050 --> 00:53:38,310
+خلصتها بتحطّ عليك الكهربا وبالتالي اه 
+
+715
+00:53:38,310 --> 00:53:43,150
+بالتالي أو يعني بتخلص زي جوال ما بيديك مرات رصيد
+
+716
+00:53:43,150 --> 00:53:47,030
+لو بتخلص كرتك بيحطّ الكارت بيقول لك بالسّالم بيديك كام 
+
+717
+00:53:47,030 --> 00:53:51,770
+شيكل وبياخدها بعدين بيصير زي فهذه هذه
+
+718
+00:53:51,770 --> 00:53:56,850
+جيدة، هذه فكرة بتطبّقها معناها غزة بتعرفوا أن
+
+719
+00:53:56,850 --> 00:54:01,750
+لو أنّه احنا بس كلّ الناس بتدفع وبالتالي بتقلّل في 
+
+720
+00:54:01,750 --> 00:54:05,380
+استخدام القهر، وبعد كده ما فيش احنا مشكلة كان
+
+721
+00:54:05,380 --> 00:54:08,400
+المشكلة مش في حقيقة تجينا ست ساعات بيكون كتير
+
+722
+00:54:08,400 --> 00:54:11,680
+لأن لو في عندنا مشكلة يعني في عاملة مقارنة ما بين
+
+723
+00:54:11,680 --> 00:54:15,300
+واحد واتنين نفس المستوى واحد بيدفع واحد بيدفعش
+
+724
+00:54:15,300 --> 00:54:19,140
+لقوا اللي بيدفعش بيصحب أضعاف اللي بيدفع وهو نفس
+
+725
+00:54:19,140 --> 00:54:23,700
+المستوى مجرد مبدأ اللي بيبقى أكتر منه بس
+
+726
+00:54:26,510 --> 00:54:30,550
+تمام، طبعًا زي ما حكينا القانونين الثانيين بهذا
+
+727
+00:54:30,550 --> 00:54:34,290
+الشكل، خلّيني أشوف مثال عنها الخضية بيقول you are
+
+728
+00:54:34,290 --> 00:54:37,470
+given an electric heater electric heater اللي هو
+
+729
+00:54:37,470 --> 00:54:41,510
+تبع الشال made of mecaum weight of resistance 8
+
+730
+00:54:41,510 --> 00:54:45,700
+ohmFind the current carried by the wire and the
+
+731
+00:54:45,700 --> 00:54:50,120
+wire of the heater if it is connected to a 120
+
+732
+00:54:50,120 --> 00:54:54,440
+volt source شباب 120 volt هدف أمريكا كل الكعبة 
+
+733
+00:54:54,440 --> 00:54:58,720
+عندهم 120 volt وأعتقد في أستراليا كمان وفي كندا 
+
+734
+00:54:58,720 --> 00:55:03,280
+لأ أوروبا كلهم زينا، أوروبا كلها زينا احنا
+
+735
+00:55:03,280 --> 00:55:06,780
+مرتبطين بأوروبا في أكتر من شغل يعني فالولتية تبعت
+
+736
+00:55:06,780 --> 00:55:12,680
+أوروبا 220، بسالنوعية اللي وقت أوروبا ما هو الأبريز 
+
+737
+00:55:12,680 --> 00:55:15,820
+انتها قبل عشرين سنة اختلفت عنها كل فرح بظهروا بس
+
+738
+00:55:15,820 --> 00:55:18,400
+التكنولوجيا عندهم كانت تتصرف قبل ومكانت تصيب زيهم 
+
+739
+00:55:18,400 --> 00:55:21,520
+فاختلفت يعني ما عرفت فاج الأبريز تحت ما عرفت أعلى
+
+740
+00:55:21,520 --> 00:55:25,540
+حسب الموبايل مرة نفس القضية، فالأبريز هذه مجرد مضلة
+
+741
+00:55:25,540 --> 00:55:29,340
+يعني مش أكثر زمان ماكنتش هيك كانت أبسط من هيك
+
+742
+00:55:29,340 --> 00:55:35,010
+بكتير، أنتو مالاحقتيوه زمان، سيليشن طبعًا هذه أسئلة
+
+743
+00:55:35,010 --> 00:55:38,890
+بسيطة جدًا إن هو قوانين أمبير عندك الـ volt ثابت 120
+
+744
+00:55:38,890 --> 00:55:41,610
+volt عشان كده الأجهزة اللي جايه من أمريكا لازم
+
+745
+00:55:41,610 --> 00:55:45,730
+يصيحها adaptation تتغيّر لأن أنا عندي 220 volt على
+
+746
+00:55:45,730 --> 00:55:49,130
+أرمطة مياه بتساوي خمس سنوات طبعًا 15 أمبير معناته 
+
+747
+00:55:49,130 --> 00:55:54,690
+أمان بـ 10 أمبير بفسي مظبوط ولا لأ زي هاي تقريبًا هم
+
+748
+00:55:54,690 --> 00:55:57,770
+الصبّابين عندهم لازم الأمان يكون أكثر من 15 أمبير 
+
+749
+00:55:57,770 --> 00:56:03,790
+عشان يشتغل هذا الـ heater ده هو بقى في الجيبة 1.8
+
+750
+00:56:03,790 --> 00:56:07,470
+كيلو وات يعني
+
+751
+00:56:07,470 --> 00:56:11,330
+زي السخّان بالظبط اللي حكى عنه زميلكم أنه 1800 أو
+
+752
+00:56:11,330 --> 00:56:18,670
+2000 بهذه الحدود بحسب كلّ أنواع معينة تمامًا، آخر هذا
+
+753
+00:56:18,670 --> 00:56:21,630
+الـ section جابه من الشطر اللي وراها بس عساس أنه
+
+754
+00:56:21,630 --> 00:56:25,450
+يعمل شطر محلّز يكون فيه quiz محلّز في هذا الموضوع 
+
+755
+00:56:25,450 --> 00:56:28,530
+فهذه electromagnetic force ده من الشطر اللي وراها 
+
+756
+00:56:28,530 --> 00:56:32,950
+شطر 28 electromagnetic force يا باب قوة دافعة
+
+757
+00:56:32,950 --> 00:56:39,160
+كهربية طبعًا المفهوم في البداية قوة وقالتها نيوتن، هي
+
+758
+00:56:39,160 --> 00:56:42,840
+هنا بتناقض المفهوم العلمي لـ Electromotive force
+
+759
+00:56:42,840 --> 00:56:47,060
+هذه شباب محدّده الـ word نفس العملية، فكلمة 
+
+760
+00:56:47,060 --> 00:56:50,480
+Electromotive force اجت عشان عملية دفع الشحنات من
+
+761
+00:56:50,480 --> 00:56:53,500
+واطر أعلى فهي كلمة Electromotive force 
+
+762
+00:56:57,300 --> 00:57:02,360
+Consider a circuit shown where a battery of 
+
+763
+00:57:02,360 --> 00:57:05,420
+internal resistance R is connected to a load 
+
+764
+00:57:05,420 --> 00:57:06,660
+resistant
+
+801
+01:00:04,310 --> 01:00:07,570
+كحربية دائماً من القوة من خط السائق إلى خط الموجد
+
+802
+01:00:07,570 --> 01:00:10,990
+بالواطن للعالي لإني أدفع من الواطن للعالية هذه شمال
+
+803
+01:00:10,990 --> 01:00:15,570
+البطارية وهذه الخاصية بيسموها القوة الدافعة
+
+804
+01:00:15,570 --> 01:00:21,710
+الكهربية للبطارية هنا عشوائية the function of such
+
+805
+01:00:21,710 --> 01:00:28,610
+a device is called electromotive force هو القوة الدافعة
+
+806
+01:00:28,610 --> 01:00:35,170
+الكهربية تمام؟ قوة دافعة كهربائية abbreviated EMF تختصر
+
+807
+01:00:35,170 --> 01:00:42,080
+electromotive force EMF تمام and denoted by the
+
+808
+01:00:42,080 --> 01:00:46,040
+symbol capital Y ورمزها capital Y  ما هي وحدتها volt
+
+809
+01:00:46,040 --> 01:00:49,480
+the battery and the generator are common in
+
+810
+01:00:49,480 --> 01:00:52,520
+devices طبعاً البطاريات والمولد خلنا نقول ال
+
+811
+01:00:52,520 --> 01:00:56,540
+generator اللي في دوركم لما تقطع الكهرباء هذا بيعمل
+
+812
+01:00:56,540 --> 01:01:00,520
+فرق جهد وبيصير فيه عندك طاقة وبيحل كل الضعف
+
+813
+01:01:00,520 --> 01:01:04,300
+تمام؟ إذن ال generator إيه؟ طبعاً ال generator ما
+
+814
+01:01:04,300 --> 01:01:08,620
+هو هو خلينا نقول symbol بسيط من محطة الكهرباء
+
+815
+01:01:08,620 --> 01:01:13,450
+نفسه فده ال generator بس كبير جداً المشكلة في لبنان
+
+816
+01:01:13,450 --> 01:01:16,130
+في عندنا نفس المشكلة يمكن تسمعوا أنتم شباب بس
+
+817
+01:01:16,130 --> 01:01:20,450
+يمكن في لبنان حلينها شوية أنه عاملين محطات مركزية
+
+818
+01:01:20,450 --> 01:01:24,610
+لكل حارة وبالتالي بيصير صاحب الدار مرات ييجي ويبعت
+
+819
+01:01:24,610 --> 01:01:27,390
+في فاتورة بيشكو في محطة بيوديها لـ لـ لـ لـ 
+
+820
+01:01:27,390 --> 01:01:30,450
+الكهربا وفي فاتورة فاتورة بيوديها لمين؟ لصاحب
+
+821
+01:01:30,450 --> 01:01:32,970
+المحطة اللي في الحارة ففي عنده فاتورتين بيدفعهم
+
+822
+01:01:32,970 --> 01:01:37,490
+آخر شهر لإنه بيدفع هنا وبيدفع هنا في مشكلة يعني
+
+823
+01:01:37,490 --> 01:01:42,830
+طبعاً آه دي مشاكل مشاكل الدول العربية الدول اللي
+
+824
+01:01:42,830 --> 01:01:48,350
+نكساميها نابيها لأن احنا في الأمور الأساسية لحد
+
+825
+01:01:48,350 --> 01:01:51,470
+الآن مش ملبين قادرين نلبّي الحاجات الأساسية
+
+826
+01:01:51,470 --> 01:01:57,250
+للمواطن يعني هذه من الشغلات الضرورية لأنك تتأمن
+
+827
+01:01:57,250 --> 01:02:02,990
+يمكن تعرفوا لو روحتوا على أوروبا في بعض الدول خليني
+
+828
+01:02:02,990 --> 01:02:07,850
+أقول بامنوا ماء ساخن 24 ساعة من البلدية ماء
+
+829
+01:02:07,850 --> 01:02:10,290
+ساخن بتكشف بتفتح الحنفية بتلاقي ماء ساخن على
+
+830
+01:02:10,290 --> 01:02:14,710
+طول بقول كده طب هو أصعب إنه يامنوها لأن كده بتمشي
+
+831
+01:02:14,710 --> 01:02:18,310
+في المواسير جوا وفي ماء ساخن موجودة طبعاً فيه أمور
+
+832
+01:02:18,310 --> 01:02:21,990
+كتيرة طبعاً الغاز برضه مأمن من دون جهد ولا حاجة
+
+833
+01:02:21,990 --> 01:02:28,280
+على طول زي الكهرباء بالظبط فيه فاتورة في الدول كنا
+
+834
+01:02:28,280 --> 01:02:31,140
+احنا طلاب ندفع فاتورة الغاز وفطور الماء وفطور الكهرباء
+
+835
+01:02:31,140 --> 01:02:36,340
+فهو كثير كثير في طبعاً في مصر في بعض المناطق عاملين
+
+836
+01:02:36,340 --> 01:02:42,040
+شبكات الغازات موجودة لكن في جزء بسيط من القاهرة لكن
+
+837
+01:02:42,040 --> 01:02:48,330
+بقي المدن المنسية نفس القضية تمام مصادر الطاقة يمكن
+
+838
+01:02:48,330 --> 01:02:54,350
+أن تكون مجرد مصادر مصادر مصادر مصادر مصادر مصادر
+
+839
+01:02:54,350 --> 01:02:57,090
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+840
+01:02:57,090 --> 01:02:58,090
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+841
+01:02:58,090 --> 01:02:58,350
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+842
+01:02:58,350 --> 01:03:02,130
+مصادر مصادر مصادر مصادر مصادر مصادر مصادر مصادر
+
+843
+01:03:02,130 --> 01:03:10,650
+مصادر مصادر مصادر مصادر مصادر مصادر
+
+844
+01:03:13,260 --> 01:03:19,300
+It is exactly like a water pump زي مضخة الماء that
+
+845
+01:03:19,300 --> 01:03:22,580
+pushes water from lower to a higher level opposite
+
+846
+01:03:22,580 --> 01:03:24,700
+to the gravitational force. 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b3452ed103be5fb452d3320aa6f8d4d42eb81a79
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2082, "start": 10.12, "end": 20.82, "text": "بعد بسم الله الرحمن الرحيم نبدأ اخر محاضرة التيار المتردد اتفقنا انه بيجي من source اللي هو ال generator او ال dynamo", "tokens": [3555, 22488, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 44510, 10721, 1975, 34740, 3714, 5016, 46958, 25720, 16712, 1829, 9640, 9673, 2655, 2288, 3215, 3215, 1975, 2655, 5172, 4587, 8315, 16472, 3224, 4724, 1829, 7435, 1829, 9154, 4009, 13672, 1829, 31439, 2423, 19265, 1975, 2407, 2423, 5999, 78], "avg_logprob": -0.15234374914031762, "compression_ratio": 1.381294964028777, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 10.120000000000001, "end": 10.94, "word": "بعد", "probability": 0.951904296875}, {"start": 10.94, "end": 11.14, "word": " بسم", "probability": 0.94287109375}, {"start": 11.14, "end": 11.36, "word": " الله", "probability": 0.9482421875}, {"start": 11.36, "end": 11.7, "word": " الرحمن", "probability": 0.9700520833333334}, 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{"start": 720.92, "end": 722.26, "word": " عبارة", "probability": 0.9217529296875}, {"start": 722.26, "end": 722.38, "word": " عن", "probability": 0.9619140625}, {"start": 722.38, "end": 722.76, "word": " معامل", "probability": 0.9611002604166666}, {"start": 722.76, "end": 722.82, "word": " ال", "probability": 0.78662109375}, {"start": 722.82, "end": 723.04, "word": " power", "probability": 0.86376953125}, {"start": 723.04, "end": 723.66, "word": " طيب", "probability": 0.775146484375}, {"start": 723.66, "end": 723.92, "word": " ايش", "probability": 0.8427734375}, {"start": 723.92, "end": 724.12, "word": " محق", "probability": 0.8702799479166666}, {"start": 724.12, "end": 724.38, "word": " واحدة", "probability": 0.720947265625}, {"start": 724.38, "end": 724.62, "word": " cos", "probability": 0.81396484375}, {"start": 724.62, "end": 724.96, "word": " ف", "probability": 0.548828125}, {"start": 724.96, "end": 725.32, "word": " هلجت؟", "probability": 0.58818359375}], "temperature": 1.0}, {"id": 35, "seek": 75120, "start": 726.82, "end": 751.2, "text": "وحدتها مالهاش وحدة لإن احنا متقنين ال power volt ampere او هديك volt ampere اذا انا دي مالهاش عشان كده دول اصلا مالها معامل معامل ال power تمام it is clear that حاجات اللي اتول انا حكيته for a purely resistive power شغلها نظرية مافيش عندك الا مقاومة مش بيكون ال I و ال V in phase يعني الفاي هدي زفر", "tokens": [2407, 24401, 2655, 11296, 3714, 6027, 3224, 33599, 4032, 24401, 3660, 5296, 28814, 1863, 1975, 5016, 8315, 44650, 4587, 1863, 9957, 2423, 1347, 5962, 18648, 323, 1975, 2407, 8032, 16254, 4117, 5962, 18648, 323, 1975, 15730, 1975, 8315, 11778, 1829, 3714, 6027, 3224, 33599, 6225, 8592, 7649, 9122, 3215, 3224, 11778, 12610, 1975, 9381, 15040, 3714, 6027, 11296, 20449, 10943, 1211, 20449, 10943, 1211, 2423, 1347, 46811, 10943, 309, 307, 1850, 300, 11331, 26108, 9307, 13672, 1829, 1975, 2655, 12610, 1975, 8315, 11331, 4117, 36081, 3224, 337, 257, 17491, 4597, 488, 1347, 13412, 17082, 1211, 11296, 8717, 19913, 2288, 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{"start": 745.26, "end": 745.54, "word": " عندك", "probability": 0.9765625}, {"start": 745.54, "end": 745.66, "word": " الا", "probability": 0.57275390625}, {"start": 745.66, "end": 746.66, "word": " مقاومة", "probability": 0.99365234375}, {"start": 746.66, "end": 747.06, "word": " مش", "probability": 0.9150390625}, {"start": 747.06, "end": 747.42, "word": " بيكون", "probability": 0.9319661458333334}, {"start": 747.42, "end": 747.58, "word": " ال", "probability": 0.9658203125}, {"start": 747.58, "end": 747.8, "word": " I", "probability": 0.85498046875}, {"start": 747.8, "end": 747.98, "word": " و", "probability": 0.84619140625}, {"start": 747.98, "end": 748.08, "word": " ال", "probability": 0.427734375}, {"start": 748.08, "end": 748.22, "word": " V", "probability": 0.95703125}, {"start": 748.22, "end": 748.52, "word": " in", "probability": 0.89794921875}, {"start": 748.52, "end": 748.88, "word": " phase", "probability": 0.943359375}, {"start": 748.88, "end": 749.94, "word": " يعني", 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0.7615559895833334}], "temperature": 1.0}, {"id": 65, "seek": 141596, "start": 1397.2, "end": 1415.96, "text": "قضية طويلة احنا بهمنا في الآخر يعني خلّيني اقول قشور الموضوع عشان كده هتلاقي ال example شغبة بسيطة جدا المعلومة اللي انا عندى انه في عندى power factor ال power تبع ال source عبارة عن ال IRMS VRMS و بقفش بحط جنب كسن الفاي", "tokens": [4587, 11242, 10632, 23032, 2407, 26895, 3660, 1975, 5016, 8315, 4724, 16095, 8315, 8978, 6024, 95, 34740, 37495, 22653, 16490, 1211, 11703, 9957, 1829, 1975, 39648, 12174, 8592, 13063, 9673, 2407, 11242, 45367, 6225, 8592, 7649, 9122, 3215, 3224, 8032, 2655, 15040, 38436, 2423, 1365, 13412, 17082, 49401, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 9673, 30241, 20498, 3660, 13672, 1829, 1975, 8315, 43242, 7578, 16472, 3224, 8978, 43242, 7578, 1347, 5952, 2423, 1347, 6055, 3555, 3615, 2423, 4009, 6225, 3555, 9640, 3660, 18871, 2423, 286, 49, 10288, 13722, 10288, 4032, 4724, 4587, 5172, 8592, 4724, 5016, 9566, 10874, 1863, 3555, 9122, 3794, 1863, 27188, 47302], "avg_logprob": -0.2386098136411649, "compression_ratio": 1.5450643776824033, "no_speech_prob": 6.67572021484375e-06, "words": [{"start": 1397.2, "end": 1397.76, "word": "قضية", "probability": 0.7373046875}, {"start": 1397.76, "end": 1398.28, "word": " طويلة", "probability": 0.9327392578125}, {"start": 1398.28, "end": 1398.42, "word": " احنا", "probability": 0.8326822916666666}, {"start": 1398.42, "end": 1398.76, "word": " بهمنا", "probability": 0.5772298177083334}, {"start": 1398.76, "end": 1398.86, "word": " في", "probability": 0.86279296875}, {"start": 1398.86, "end": 1399.26, "word": " الآخر", "probability": 0.8295084635416666}, {"start": 1399.26, "end": 1400.24, "word": " يعني", "probability": 0.830810546875}, {"start": 1400.24, "end": 1400.5, "word": " خلّيني", "probability": 0.6991455078125}, {"start": 1400.5, "end": 1400.72, "word": " اقول", "probability": 0.731689453125}, {"start": 1400.72, "end": 1401.42, "word": " قشور", "probability": 0.9733072916666666}, {"start": 1401.42, "end": 1402.36, "word": " الموضوع", "probability": 0.993408203125}, {"start": 1402.36, "end": 1402.66, "word": " عشان", "probability": 0.9446614583333334}, {"start": 1402.66, "end": 1402.82, "word": " كده", "probability": 0.966796875}, {"start": 1402.82, "end": 1403.22, "word": " هتلاقي", "probability": 0.9541015625}, {"start": 1403.22, "end": 1403.68, "word": " ال", "probability": 0.9345703125}, {"start": 1403.68, "end": 1404.16, "word": " example", "probability": 0.89453125}, {"start": 1404.16, "end": 1404.74, "word": " شغبة", "probability": 0.70263671875}, {"start": 1404.74, "end": 1405.06, "word": " بسيطة", "probability": 0.98935546875}, {"start": 1405.06, "end": 1405.34, "word": " جدا", "probability": 0.986328125}, {"start": 1405.34, "end": 1405.86, "word": " المعلومة", "probability": 0.9354248046875}, {"start": 1405.86, "end": 1405.92, "word": " اللي", "probability": 0.86474609375}, {"start": 1405.92, "end": 1406.04, "word": " انا", "probability": 0.852783203125}, {"start": 1406.04, "end": 1406.56, "word": " عندى", "probability": 0.6968994140625}, {"start": 1406.56, "end": 1407.28, "word": " انه", "probability": 0.791748046875}, {"start": 1407.28, "end": 1408.04, "word": " في", "probability": 0.71630859375}, {"start": 1408.04, "end": 1408.52, "word": " عندى", "probability": 0.804443359375}, {"start": 1408.52, "end": 1408.98, "word": " power", "probability": 0.8935546875}, {"start": 1408.98, "end": 1409.48, "word": " factor", "probability": 0.92333984375}, {"start": 1409.48, "end": 1410.64, "word": " ال", "probability": 0.8896484375}, {"start": 1410.64, "end": 1410.94, "word": " power", "probability": 0.86669921875}, {"start": 1410.94, "end": 1411.22, "word": " تبع", "probability": 0.87939453125}, {"start": 1411.22, "end": 1411.36, "word": " ال", "probability": 0.95654296875}, {"start": 1411.36, "end": 1411.64, "word": " source", "probability": 0.9384765625}, {"start": 1411.64, "end": 1412.06, "word": " عبارة", "probability": 0.9951171875}, {"start": 1412.06, "end": 1412.24, "word": " عن", "probability": 0.9951171875}, {"start": 1412.24, "end": 1412.38, "word": " ال", "probability": 0.61767578125}, {"start": 1412.38, "end": 1413.18, "word": " IRMS", "probability": 0.5522054036458334}, {"start": 1413.18, "end": 1413.98, "word": " VRMS", "probability": 0.8212890625}, {"start": 1413.98, "end": 1414.12, "word": " و", "probability": 0.73046875}, {"start": 1414.12, "end": 1414.6, "word": " بقفش", "probability": 0.737060546875}, {"start": 1414.6, "end": 1415.06, "word": " بحط", "probability": 0.7980143229166666}, {"start": 1415.06, "end": 1415.22, "word": " جنب", "probability": 0.9318033854166666}, {"start": 1415.22, "end": 1415.56, "word": " كسن", "probability": 0.4695638020833333}, {"start": 1415.56, "end": 1415.96, "word": " الفاي", "probability": 0.498046875}], "temperature": 1.0}, {"id": 66, "seek": 143715, "start": 1416.43, "end": 1437.15, "text": "هذه الطاقة وانفق ذات كاملة في المقاومة لو قاللي اودر كل الطاقة بقوله اي ارمس تربيع في الارض زي هذا المثال بقولي ان ا سيريز RLC circuit we have ال V maximum اللي اعطاكيه 150 volt طبعا ال V maximum لو بده ال V ارمس بتجيبه صحيح ولا لأ تمام R وC وL معطى", "tokens": [3224, 24192, 41950, 995, 28671, 4032, 7649, 5172, 4587, 29910, 9307, 9122, 10943, 37977, 8978, 9673, 4587, 995, 20498, 3660, 45164, 50239, 20292, 1975, 23328, 2288, 28242, 41950, 995, 28671, 4724, 39648, 3224, 1975, 1829, 1975, 2288, 2304, 3794, 6055, 2288, 21292, 3615, 8978, 2423, 9640, 11242, 30767, 1829, 23758, 9673, 12984, 6027, 4724, 39648, 1829, 16472, 1975, 8608, 13546, 1829, 11622, 497, 14766, 9048, 321, 362, 2423, 691, 6674, 13672, 1829, 1975, 3615, 9566, 995, 4117, 1829, 3224, 8451, 5962, 23032, 3555, 3615, 995, 2423, 691, 6674, 45164, 47525, 3224, 2423, 691, 1975, 2288, 2304, 3794, 39894, 7435, 1829, 3555, 3224, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 46811, 10943, 497, 4032, 34, 4032, 43, 20449, 9566, 7578], "avg_logprob": -0.2890625012417634, "compression_ratio": 1.6475409836065573, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1416.43, "end": 1416.83, "word": "هذه", "probability": 0.83544921875}, {"start": 1416.83, "end": 1417.13, "word": " الطاقة", "probability": 0.98486328125}, {"start": 1417.13, "end": 1417.49, "word": " وانفق", "probability": 0.819091796875}, {"start": 1417.49, "end": 1417.75, "word": " ذات", "probability": 0.737548828125}, {"start": 1417.75, "end": 1418.35, "word": " كاملة", "probability": 0.9474283854166666}, {"start": 1418.35, "end": 1418.57, "word": " في", "probability": 0.8759765625}, {"start": 1418.57, "end": 1419.25, "word": " المقاومة", "probability": 0.9232421875}, {"start": 1419.25, "end": 1419.65, "word": " لو", "probability": 0.30859375}, {"start": 1419.65, "end": 1419.93, "word": " قاللي", "probability": 0.3623046875}, {"start": 1419.93, "end": 1420.23, "word": " اودر", "probability": 0.6822102864583334}, {"start": 1420.23, "end": 1420.43, "word": " كل", "probability": 0.8759765625}, {"start": 1420.43, "end": 1420.85, "word": " الطاقة", "probability": 0.9947916666666666}, {"start": 1420.85, "end": 1421.23, "word": " بقوله", "probability": 0.6590169270833334}, {"start": 1421.23, "end": 1421.41, "word": " اي", "probability": 0.6964111328125}, {"start": 1421.41, "end": 1421.69, "word": " ارمس", "probability": 0.560791015625}, {"start": 1421.69, "end": 1422.03, "word": " تربيع", "probability": 0.774139404296875}, {"start": 1422.03, "end": 1422.13, "word": " في", "probability": 0.833984375}, {"start": 1422.13, "end": 1422.55, "word": " الارض", "probability": 0.7644856770833334}, {"start": 1422.55, "end": 1422.85, "word": " زي", "probability": 0.74658203125}, {"start": 1422.85, "end": 1423.01, "word": " هذا", "probability": 0.765625}, {"start": 1423.01, "end": 1423.31, "word": " المثال", "probability": 0.9567057291666666}, {"start": 1423.31, "end": 1423.61, "word": " بقولي", "probability": 0.7158203125}, {"start": 1423.61, "end": 1423.71, "word": " ان", "probability": 0.658203125}, {"start": 1423.71, "end": 1423.81, "word": " ا", "probability": 0.62451171875}, {"start": 1423.81, "end": 1424.33, "word": " سيريز", "probability": 0.74456787109375}, {"start": 1424.33, "end": 1425.59, "word": " RLC", "probability": 0.5010986328125}, {"start": 1425.59, "end": 1426.29, "word": " circuit", "probability": 0.6328125}, {"start": 1426.29, "end": 1426.77, "word": " we", "probability": 0.38623046875}, {"start": 1426.77, "end": 1427.17, "word": " have", "probability": 0.96337890625}, {"start": 1427.17, "end": 1427.49, "word": " ال", "probability": 0.669921875}, {"start": 1427.49, "end": 1427.61, "word": " V", "probability": 0.82568359375}, {"start": 1427.61, "end": 1427.95, "word": " maximum", "probability": 0.73974609375}, {"start": 1427.95, "end": 1428.11, "word": " اللي", "probability": 0.6494140625}, {"start": 1428.11, "end": 1428.45, "word": " اعطاكيه", "probability": 0.7219935825892857}, {"start": 1428.45, "end": 1428.79, "word": " 150", "probability": 0.465576171875}, {"start": 1428.79, "end": 1429.51, "word": " volt", "probability": 0.436279296875}, {"start": 1429.51, "end": 1430.31, "word": " طبعا", "probability": 0.964599609375}, {"start": 1430.31, "end": 1430.51, "word": " ال", "probability": 0.94921875}, {"start": 1430.51, "end": 1430.63, "word": " V", "probability": 0.97119140625}, {"start": 1430.63, "end": 1430.97, "word": " maximum", "probability": 0.94970703125}, {"start": 1430.97, "end": 1431.19, "word": " لو", "probability": 0.7197265625}, {"start": 1431.19, "end": 1431.51, "word": " بده", "probability": 0.850830078125}, {"start": 1431.51, "end": 1431.65, "word": " ال", "probability": 0.84130859375}, {"start": 1431.65, "end": 1431.75, "word": " V", "probability": 0.95947265625}, {"start": 1431.75, "end": 1432.07, "word": " ارمس", "probability": 0.8902587890625}, {"start": 1432.07, "end": 1432.71, "word": " بتجيبه", "probability": 0.85068359375}, {"start": 1432.71, "end": 1433.05, "word": " صحيح", "probability": 0.88232421875}, {"start": 1433.05, "end": 1433.19, "word": " ولا", "probability": 0.7861328125}, {"start": 1433.19, "end": 1433.63, "word": " لأ", "probability": 0.8251953125}, {"start": 1433.63, "end": 1434.19, "word": " تمام", "probability": 0.94384765625}, {"start": 1434.19, "end": 1434.83, "word": " R", "probability": 0.8701171875}, {"start": 1434.83, "end": 1435.59, "word": " وC", "probability": 0.740478515625}, {"start": 1435.59, "end": 1436.47, "word": " وL", "probability": 0.908447265625}, {"start": 1436.47, "end": 1437.15, "word": " معطى", "probability": 0.7613932291666666}], "temperature": 1.0}, {"id": 67, "seek": 145246, "start": 1438.88, "end": 1452.46, "text": "ومجة مُعطَى What is the power delivered to the circuit؟ بيقول يقدّش ال power اللي أنا جايبها من ال source أنا بدل ما أقول cos φ و أغلب حالي بقول ال power تبعت ال source هي نفس ال power تبعت المقامة ولا لأ؟", "tokens": [20498, 7435, 3660, 3714, 10859, 3615, 9566, 6808, 7578, 708, 307, 264, 1347, 10144, 281, 264, 9048, 22807, 4724, 1829, 39648, 7251, 28543, 11703, 8592, 2423, 1347, 13672, 1829, 41850, 10874, 47302, 3555, 11296, 9154, 2423, 4009, 41850, 47525, 1211, 19446, 5551, 39648, 3792, 17579, 4032, 5551, 17082, 46152, 11331, 6027, 1829, 4724, 39648, 2423, 1347, 6055, 3555, 34268, 2423, 4009, 39896, 8717, 36178, 2423, 1347, 6055, 3555, 34268, 9673, 4587, 10943, 3660, 49429, 5296, 10721, 22807], "avg_logprob": -0.2888621687889099, "compression_ratio": 1.5303030303030303, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 1438.88, "end": 1439.4, "word": "ومجة", "probability": 0.7118326822916666}, {"start": 1439.4, "end": 1439.92, "word": " مُعطَى", "probability": 0.7479654947916666}, {"start": 1439.92, "end": 1441.0, "word": " What", "probability": 0.1094970703125}, {"start": 1441.0, "end": 1441.46, "word": " is", "probability": 0.89013671875}, {"start": 1441.46, "end": 1441.7, "word": " the", "probability": 0.85693359375}, {"start": 1441.7, "end": 1442.08, "word": " power", "probability": 0.85498046875}, {"start": 1442.08, "end": 1442.58, "word": " delivered", "probability": 0.806640625}, {"start": 1442.58, "end": 1442.94, "word": " to", "probability": 0.970703125}, {"start": 1442.94, "end": 1443.1, "word": " the", "probability": 0.900390625}, {"start": 1443.1, "end": 1444.06, "word": " circuit؟", "probability": 0.693603515625}, {"start": 1444.06, "end": 1444.32, "word": " بيقول", "probability": 0.697998046875}, {"start": 1444.32, "end": 1444.68, "word": " يقدّش", "probability": 0.61724853515625}, {"start": 1444.68, "end": 1444.8, "word": " ال", "probability": 0.849609375}, {"start": 1444.8, "end": 1445.04, "word": " power", "probability": 0.62548828125}, {"start": 1445.04, "end": 1445.22, "word": " اللي", "probability": 0.909423828125}, {"start": 1445.22, "end": 1445.34, "word": " أنا", "probability": 0.67919921875}, {"start": 1445.34, "end": 1445.64, "word": " جايبها", "probability": 0.9573974609375}, {"start": 1445.64, "end": 1445.8, "word": " من", "probability": 0.9921875}, {"start": 1445.8, "end": 1445.94, "word": " ال", "probability": 0.9453125}, {"start": 1445.94, "end": 1446.22, "word": " source", "probability": 0.8291015625}, {"start": 1446.22, "end": 1446.8, "word": " أنا", "probability": 0.55859375}, {"start": 1446.8, "end": 1447.06, "word": " بدل", "probability": 0.765869140625}, {"start": 1447.06, "end": 1447.16, "word": " ما", "probability": 0.95654296875}, {"start": 1447.16, "end": 1447.42, "word": " أقول", "probability": 0.778076171875}, {"start": 1447.42, "end": 1447.68, "word": " cos", "probability": 0.27880859375}, {"start": 1447.68, "end": 1448.06, "word": " φ", "probability": 0.65478515625}, {"start": 1448.06, "end": 1448.2, "word": " و", "probability": 0.88525390625}, {"start": 1448.2, "end": 1448.42, "word": " أغلب", "probability": 0.7230631510416666}, {"start": 1448.42, "end": 1448.72, "word": " حالي", "probability": 0.9597981770833334}, {"start": 1448.72, "end": 1448.9, "word": " بقول", "probability": 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"word": " اكتر", "probability": 0.8231201171875}, {"start": 1569.23, "end": 1569.33, "word": " من", "probability": 0.98828125}, {"start": 1569.33, "end": 1569.71, "word": " 18", "probability": 0.9658203125}, {"start": 1569.71, "end": 1570.17, "word": ".1", "probability": 0.996337890625}, {"start": 1570.17, "end": 1570.45, "word": " watt", "probability": 0.87744140625}, {"start": 1570.45, "end": 1570.79, "word": " و", "probability": 0.81396484375}, {"start": 1570.79, "end": 1570.97, "word": " هناك", "probability": 0.898681640625}, {"start": 1570.97, "end": 1571.25, "word": " بيسموها", "probability": 0.89755859375}, {"start": 1571.25, "end": 1571.43, "word": " شوية", "probability": 0.618408203125}, {"start": 1571.43, "end": 1571.93, "word": " بيسميها", "probability": 0.93623046875}, {"start": 1571.93, "end": 1572.41, "word": " volt", "probability": 0.36376953125}, {"start": 1572.41, "end": 1572.89, "word": " ampere", "probability": 0.77685546875}, {"start": 1572.89, "end": 1573.25, 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"end": 1902.22, "word": " RLC", "probability": 0.84765625}, {"start": 1902.22, "end": 1903.04, "word": " circuit", "probability": 0.9287109375}], "temperature": 1.0}, {"id": 87, "seek": 191789, "start": 1911.71, "end": 1917.89, "text": "ماذا إذا قيمة C للطاقة هي أكتر؟", "tokens": [2304, 45636, 995, 11933, 15730, 12174, 32640, 3660, 383, 5296, 1211, 9566, 995, 28671, 39896, 5551, 4117, 2655, 2288, 22807], "avg_logprob": -0.8511904875437418, "compression_ratio": 0.9016393442622951, "no_speech_prob": 0.0, "words": [{"start": 1911.7099999999998, "end": 1913.11, "word": "ماذا", "probability": 0.5144449869791666}, {"start": 1913.11, "end": 1914.51, "word": " إذا", "probability": 0.60565185546875}, {"start": 1914.51, "end": 1914.91, "word": " قيمة", "probability": 0.6949462890625}, {"start": 1914.91, "end": 1915.37, "word": " C", "probability": 0.493408203125}, {"start": 1915.37, "end": 1916.51, "word": " للطاقة", "probability": 0.4450439453125}, {"start": 1916.51, "end": 1916.89, "word": " هي", "probability": 0.305419921875}, {"start": 1916.89, "end": 1917.89, "word": " أكتر؟", "probability": 0.487060546875}], "temperature": 1.0}, {"id": 88, "seek": 194119, "start": 1925.23, "end": 1941.19, "text": "يعني بتكون maximum at resonance .. at resonance يعني أميجا بتسوي أميجا نوت .. هي المعلومة اللي بدنا إياها .. لإن لو عرفت أنا أميجا اللي هي هاجسات أميجا نوت و أميجا نوت أنا بعرف واحد على جذر ال IFC طلع الجواب .. فبقولي solution", "tokens": [40228, 22653, 39894, 30544, 6674, 412, 30944, 4386, 412, 30944, 37495, 22653, 5551, 2304, 1829, 7435, 995, 39894, 3794, 45865, 5551, 2304, 1829, 7435, 995, 8717, 35473, 4386, 39896, 9673, 30241, 20498, 3660, 13672, 1829, 47525, 8315, 11933, 25528, 11296, 4386, 5296, 28814, 1863, 45164, 6225, 28480, 2655, 41850, 5551, 2304, 1829, 7435, 995, 13672, 1829, 39896, 8032, 26108, 3794, 9307, 5551, 2304, 1829, 7435, 995, 8717, 35473, 4032, 5551, 2304, 1829, 7435, 995, 8717, 35473, 41850, 45030, 28480, 36764, 24401, 15844, 10874, 8848, 2288, 2423, 286, 18671, 23032, 1211, 3615, 25724, 14407, 3555, 4386, 6156, 3555, 39648, 1829, 3827], "avg_logprob": -0.28001238213907376, "compression_ratio": 1.7560975609756098, "no_speech_prob": 0.0, "words": [{"start": 1925.23, "end": 1925.65, "word": "يعني", "probability": 0.7042236328125}, {"start": 1925.65, "end": 1926.13, "word": " بتكون", "probability": 0.827880859375}, {"start": 1926.13, "end": 1926.63, "word": " maximum", "probability": 0.751953125}, {"start": 1926.63, "end": 1927.13, "word": " at", "probability": 0.935546875}, {"start": 1927.13, "end": 1927.69, "word": " resonance", "probability": 0.8984375}, {"start": 1927.69, "end": 1928.17, "word": " ..", "probability": 0.1751708984375}, {"start": 1928.17, "end": 1928.31, "word": " at", "probability": 0.69775390625}, {"start": 1928.31, "end": 1928.77, "word": " resonance", "probability": 0.93798828125}, {"start": 1928.77, "end": 1929.05, "word": " يعني", "probability": 0.91552734375}, {"start": 1929.05, "end": 1929.29, "word": " أميجا", "probability": 0.7042236328125}, {"start": 1929.29, "end": 1929.67, "word": " بتسوي", "probability": 0.564453125}, {"start": 1929.67, "end": 1930.03, "word": " أميجا", "probability": 0.837109375}, {"start": 1930.03, "end": 1930.17, "word": " نوت", "probability": 0.9423828125}, {"start": 1930.17, "end": 1930.21, "word": " ..", "probability": 0.64892578125}, {"start": 1930.21, "end": 1930.33, "word": " هي", "probability": 0.4716796875}, {"start": 1930.33, "end": 1930.73, "word": " المعلومة", "probability": 0.9837646484375}, {"start": 1930.73, "end": 1930.79, "word": " اللي", "probability": 0.875244140625}, {"start": 1930.79, "end": 1931.01, "word": " بدنا", "probability": 0.920654296875}, {"start": 1931.01, "end": 1931.37, "word": " إياها", "probability": 0.6357421875}, {"start": 1931.37, "end": 1931.61, "word": " ..", "probability": 0.469482421875}, {"start": 1931.61, "end": 1931.79, "word": " لإن", "probability": 0.8577473958333334}, {"start": 1931.79, "end": 1931.97, "word": " لو", "probability": 0.83544921875}, {"start": 1931.97, "end": 1932.31, "word": " عرفت", "probability": 0.8414713541666666}, {"start": 1932.31, "end": 1932.49, "word": " أنا", "probability": 0.5146484375}, {"start": 1932.49, "end": 1933.79, "word": " أميجا", "probability": 0.96884765625}, {"start": 1933.79, "end": 1934.09, "word": " اللي", "probability": 0.7744140625}, {"start": 1934.09, "end": 1934.31, "word": " هي", "probability": 0.7392578125}, {"start": 1934.31, "end": 1934.89, "word": " هاجسات", "probability": 0.765625}, {"start": 1934.89, "end": 1935.25, "word": " أميجا", "probability": 0.95751953125}, {"start": 1935.25, "end": 1935.59, "word": " نوت", "probability": 0.9697265625}, {"start": 1935.59, "end": 1935.87, "word": " و", "probability": 0.55712890625}, {"start": 1935.87, "end": 1936.13, "word": " أميجا", "probability": 0.96103515625}, {"start": 1936.13, "end": 1936.29, "word": " نوت", "probability": 0.987548828125}, {"start": 1936.29, "end": 1936.41, "word": " أنا", "probability": 0.55419921875}, {"start": 1936.41, "end": 1936.67, "word": " بعرف", "probability": 0.96923828125}, {"start": 1936.67, "end": 1936.93, "word": " واحد", "probability": 0.990234375}, {"start": 1936.93, "end": 1937.09, "word": " على", "probability": 0.65966796875}, {"start": 1937.09, "end": 1937.35, "word": " جذر", "probability": 0.4805501302083333}, {"start": 1937.35, "end": 1937.45, "word": " ال", "probability": 0.81591796875}, {"start": 1937.45, "end": 1937.85, "word": " IFC", "probability": 0.37060546875}, {"start": 1937.85, "end": 1938.45, "word": " طلع", "probability": 0.87451171875}, {"start": 1938.45, "end": 1938.91, "word": " الجواب", "probability": 0.9208984375}, {"start": 1938.91, "end": 1939.23, "word": " ..", "probability": 0.58154296875}, {"start": 1939.23, "end": 1940.43, "word": " فبقولي", "probability": 0.65509033203125}, {"start": 1940.43, "end": 1941.19, "word": " solution", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 89, "seek": 194713, "start": 1941.53, "end": 1947.13, "text": "The maximum current is attained when omega equals omega naught", "tokens": [2278, 6674, 2190, 307, 46633, 562, 10498, 6915, 10498, 13138], "avg_logprob": -0.7024147835644808, "compression_ratio": 1.0, "no_speech_prob": 0.0, "words": [{"start": 1941.53, "end": 1941.89, "word": "The", "probability": 0.126220703125}, {"start": 1941.89, "end": 1942.33, "word": " maximum", "probability": 0.88671875}, {"start": 1942.33, "end": 1942.87, "word": " current", "probability": 0.88037109375}, {"start": 1942.87, "end": 1943.17, "word": " is", "probability": 0.9326171875}, {"start": 1943.17, "end": 1943.93, "word": " attained", "probability": 0.88623046875}, {"start": 1943.93, "end": 1944.87, "word": " when", "probability": 0.9296875}, {"start": 1944.87, "end": 1945.45, "word": " omega", "probability": 0.383544921875}, {"start": 1945.45, "end": 1946.07, "word": " equals", "probability": 0.235107421875}, {"start": 1946.07, "end": 1946.71, "word": " omega", "probability": 0.775390625}, {"start": 1946.71, "end": 1947.13, "word": " naught", "probability": 0.265380859375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1965.383375, "duration_after_vad": 1925.2503437499968}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1c8377f19628277a2105f4197085c68ed2461197
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/c3i8NDM9b5Y_raw.srt
@@ -0,0 +1,1876 @@
+1
+00:00:10,120 --> 00:00:15,880
+بعد بسم الله الرحمن الرحيم نبدأ اخر محاضرة التيار
+
+2
+00:00:15,880 --> 00:00:19,820
+المتردد اتفقنا انه بيجي من source اللي هو ال
+
+3
+00:00:19,820 --> 00:00:23,840
+generator او ال dynamoالـ Voltage يُعطى بهذه
+
+4
+00:00:23,840 --> 00:00:28,000
+الصيغة V بصوّي Maximum Sine Omega T، هجيت التيار،
+
+5
+00:00:28,000 --> 00:00:33,820
+مشكلته إنه صيغة إما بكون in phase أو out of phase
+
+6
+00:00:33,820 --> 00:00:38,780
+أو 90 درجة أو بزاوية مابا، in general إحنا بنقول I
+
+7
+00:00:38,780 --> 00:00:44,880
+Maximum، اتفقنا، Sine Omega T ماقص Phiهيتهدف فاي
+
+8
+00:00:44,880 --> 00:00:50,100
+إذا الدائرة فيها فقط R بتكون سفر إذا فقط فيها L
+
+9
+00:00:50,100 --> 00:00:53,840
+بتكون تسعين درجة إذا فقط فيها C بتكون ثالث تسعين
+
+10
+00:00:53,840 --> 00:00:57,700
+درجة إذا فيها التلاتة مع بعض بتكون هدف فاي قيمة
+
+11
+00:00:57,700 --> 00:01:02,000
+لها تلاتين ستين ماقص ستين مانجعوا فيها تمام؟ لكن
+
+12
+00:01:02,000 --> 00:01:06,560
+في النهاية هادوا التنتين in general الآن بدنا نشوف
+
+13
+00:01:06,560 --> 00:01:11,780
+ال powerزي ما اتفقنا ان الطيار والجهود له قيم
+
+14
+00:01:11,780 --> 00:01:15,840
+مختلفة وبما ان ال power بالسوء الطيار في الجهود
+
+15
+00:01:15,840 --> 00:01:19,560
+اذا انا بتوقع برضه البواي تتغير مع تغير الزمان كيف
+
+16
+00:01:19,560 --> 00:01:24,540
+نتعامل معاها بجهة الطيار والجهود يفهمنا ان I am a
+
+17
+00:01:24,540 --> 00:01:28,600
+mass وهي القيمة الفعالة وهي ال average value بنفسي
+
+18
+00:01:28,600 --> 00:01:31,350
+عمري نجيب ال average value تبعتي ال powerإذا
+
+19
+00:01:31,350 --> 00:01:35,090
+الموضوع الان power in AC circuits كيف ال power و
+
+20
+00:01:35,090 --> 00:01:38,590
+احنا في الآخر الفايدة من الكعبة او من التيار
+
+21
+00:01:38,590 --> 00:01:40,970
+الكعبية هو ال power اللي بتطلع او هي الطاقة اللي
+
+22
+00:01:40,970 --> 00:01:44,210
+بتطلع اذا كانت الطاقة ضوئية طاقة حرارية طاقة عركية
+
+23
+00:01:44,210 --> 00:01:49,470
+اي ان كانت الطاقة او الطاقة معناته power بيقول the
+
+24
+00:01:49,470 --> 00:01:54,110
+instantaneous power delivered by AC source is
+
+25
+00:01:54,110 --> 00:01:56,750
+بتدري بقى ان ال power بتبقى اي source احنا كنا لما
+
+26
+00:01:56,750 --> 00:02:02,230
+زمان لما نقول هيك هاي المقاومةوهذه إبسلون بقول
+
+27
+00:02:02,230 --> 00:02:05,510
+والله هنا في power بالثاوي I في إبسلون، مظبوط ولا
+
+28
+00:02:05,510 --> 00:02:09,790
+لأ؟ هذه فاية طبعة ال source بقول هي حسبها هنا
+
+29
+00:02:09,790 --> 00:02:12,890
+power بالثاوي I تربيع في ال R هذه بالثاوي هذه
+
+30
+00:02:13,700 --> 00:02:16,660
+وانتهت يعني انا باخد من هنا طاقة بفقدها هنا كيف
+
+31
+00:02:16,660 --> 00:02:21,300
+فقدت هنا انا لقي طاقة حرارة بسرعة عامة تمام اذا
+
+32
+00:02:21,300 --> 00:02:24,820
+انا في عندي اول كنت اجيب ال I في Y بدي احسب نفس
+
+33
+00:02:24,820 --> 00:02:29,900
+القضية انا عندي source الان في عندي خليني اقول هاي
+
+34
+00:02:29,900 --> 00:02:33,580
+source وفي عندي انا ممكن اكتبت حالات اللي عندى هدا
+
+35
+00:02:33,580 --> 00:02:37,840
+هى هاي عندي الحالات هدى في عندي source هنا اللي هو
+
+36
+00:02:37,840 --> 00:02:43,370
+V بيسموه V maximum sine Omega T هنا في تياروالتيار
+
+37
+00:02:43,370 --> 00:02:46,930
+هذي بيسوي I maximum فى I Omega T نقص Phi بيقولى
+
+38
+00:02:46,930 --> 00:02:50,850
+جبلى الطاقة تبعات ال source خلينى نقوله عشان ده
+
+39
+00:02:50,850 --> 00:02:54,230
+مزكين ال source هو ال generator اللى فى بيوتكم هذا
+
+40
+00:02:54,230 --> 00:02:59,330
+فى إله قدرة بيكون مكتوبة فى كل generator عندكم لو
+
+41
+00:02:59,330 --> 00:03:02,490
+generator صغير فى الدار عندكم هتلاقوا مكتوب عليه
+
+42
+00:03:02,490 --> 00:03:08,590
+الفوولت أمبير او واحد كيلو وولت أمبير هيك بيكون
+
+43
+00:03:08,590 --> 00:03:12,690
+مكتوب عليه تمام اللي بنقول عنه تلاتة احنا بنقول
+
+44
+00:03:12,690 --> 00:03:15,890
+عنه تلاتة بيكون مكتوب عليه تلاتة كيلو وولت أمبير
+
+45
+00:03:15,890 --> 00:03:18,850
+بيكون مكتوب على ال generator تمام طبعا زي ما انتوا
+
+46
+00:03:18,850 --> 00:03:22,770
+عارفين برضه الشغل العام اللي وصلتنا للكل لحد
+
+47
+00:03:22,770 --> 00:03:26,450
+العامين ان التلاتة بتديك تلاتةبديك أقل من تلاتة
+
+48
+00:03:26,450 --> 00:03:29,990
+ونشوف الآن من وين تيجي هذه الأمور بيقول انت كدا
+
+49
+00:03:29,990 --> 00:03:35,330
+بتحسب البوار الاصل البوار هتكون بتساوي I في V هى
+
+50
+00:03:35,330 --> 00:03:39,850
+الاصل انا عندي قاللي I ماهاش قيمة واحدة بتساوي I
+
+51
+00:03:39,850 --> 00:03:43,790
+maximum sine Omega T نقص Phi و V بتساوي V maximum
+
+52
+00:03:43,790 --> 00:03:49,500
+sine Omega Tدربتها وضعتها بس قبل ما اخدي ال
+
+53
+00:03:49,500 --> 00:03:52,800
+average هذه بدي افكها شباب في اولاقها في حساب
+
+54
+00:03:52,800 --> 00:03:57,220
+المثلثات بتقول sin omega t نقص فاي بيسوي sin omega
+
+55
+00:03:57,220 --> 00:04:04,280
+t cosine فاي ماقص sin phi cosine omega t تمام؟ فدي
+
+56
+00:04:04,280 --> 00:04:10,000
+حطها هنا بس اضبطها وده هيإذا هذه مجرد بعد ما
+
+57
+00:04:10,000 --> 00:04:13,220
+ضرقتهم بعد درب عادي بيتعلقوا بالزمن بيتعلقوا
+
+58
+00:04:13,220 --> 00:04:18,160
+بالزمن بس فكتها طبعا ال I maximum و V maximum عامل
+
+59
+00:04:18,160 --> 00:04:21,100
+مشترك و اشتغلنا على هذه الأساس جاي دلوقتي نجيب ال
+
+60
+00:04:21,100 --> 00:04:25,140
+average value لهذه القيمة ال average value لهذه
+
+61
+00:04:25,140 --> 00:04:28,380
+القيمة كيف بدي أجيبها بدي أجيبها بهذه الصيغة بيقول
+
+62
+00:04:28,380 --> 00:04:33,560
+بي average بتساوي I maximum V maximum عامل مشترك
+
+63
+00:04:33,560 --> 00:04:39,400
+طب على الثابت ال average تبعه مدهشطب نفسه، اش ال
+
+64
+00:04:39,400 --> 00:04:43,720
+average لو القيم خمسة وخمسة وخمسة وخمسة؟ خمسة فال
+
+65
+00:04:43,720 --> 00:04:47,780
+average ما هو ال average بشبه شباب الاشتقاق الحديث
+
+66
+00:04:49,170 --> 00:04:53,170
+تجيبها تمام I maximum V maximum Sine Omega T
+
+67
+00:04:53,170 --> 00:04:56,910
+average Cos Phi هذا ثابت وهذا ثابت ضبط ما هو Sine
+
+68
+00:04:56,910 --> 00:05:00,790
+Omega T ماقس Sine Omega T Cos Omega T average Sine
+
+69
+00:05:00,790 --> 00:05:05,090
+Phi الآن احنا سابقا لما جيبنا الارمس و ال V ارمس
+
+70
+00:05:05,090 --> 00:05:09,510
+قولنا ال Sine تربية ال average بحنص ولا لألما
+
+71
+00:05:09,510 --> 00:05:11,570
+يقولون ان ال cosine تربيع زي ال sine تربيع بتسوى
+
+72
+00:05:11,570 --> 00:05:13,690
+واحد وبالتالي يقولون ان ال sine تربيع ال every
+
+73
+00:05:13,690 --> 00:05:19,130
+تبحى واحد طيب هذه بده حط محل همس طب هذه جالي هذه
+
+74
+00:05:19,130 --> 00:05:24,900
+sin في cosine و ال sin في cosine sinصح مش sin
+
+75
+00:05:24,900 --> 00:05:28,640
+تربية يعني sin 2 فيتا بالنهاية مش sin 2 فيتا
+
+76
+00:05:28,640 --> 00:05:32,920
+بتساوي 2 sin فيتا cos فيتا يعني انا لما اقول هذه
+
+77
+00:05:32,920 --> 00:05:42,680
+عبارة عن sin ωt cos ωt بتساوي sin ωt عتني مظبوط
+
+78
+00:05:42,680 --> 00:05:46,080
+ولا لأ في النهاية sin و احنا متفقين من اول ال sin
+
+79
+00:05:46,080 --> 00:05:49,460
+لحالها او ال cos لحالها جديش الأول يتبعها ال sin
+
+80
+00:05:49,460 --> 00:05:57,600
+لحالهاماذا يعني عدد عددها؟ عدد عددها نصف وعدد عدد
+
+81
+00:05:57,600 --> 00:06:04,060
+عددها نصف تمام يعني يعني يعني يعني يعني يعني يعني
+
+82
+00:06:04,060 --> 00:06:08,060
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+83
+00:06:08,060 --> 00:06:08,640
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+84
+00:06:08,640 --> 00:06:08,740
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+85
+00:06:08,740 --> 00:06:09,080
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+86
+00:06:09,080 --> 00:06:09,140
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+87
+00:06:09,140 --> 00:06:09,460
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+88
+00:06:09,460 --> 00:06:09,460
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+89
+00:06:09,460 --> 00:06:09,460
+يعني يعني يعني يعني يعني يعني يعني يعني يعني يعني
+
+90
+00:06:09,460 --> 00:06:14,580
+يعني يعني يعني يعني يعني يعهذه بدي احط محلها نص
+
+91
+00:06:14,580 --> 00:06:19,220
+صار نص I maximum V maximum و الباقي Zero و بدي احط
+
+92
+00:06:19,220 --> 00:06:24,060
+cos فهذه بدي احط cos فهذه فطلعت بهذه الصيغة
+
+93
+00:06:28,110 --> 00:06:31,570
+هذه القيمة تخلّيني اشيها maximum و مايبقى maximum
+
+94
+00:06:31,570 --> 00:06:35,090
+وانت متفقين الآن من يوم مطالع في ال AC circuits ان
+
+95
+00:06:35,090 --> 00:06:38,230
+الأجهزة بتقيص ال maximum و لا ال RMS value ال RMS
+
+96
+00:06:38,230 --> 00:06:41,030
+value وبالتالي لما أقول ان انا 220 volt هذي 220
+
+97
+00:06:41,030 --> 00:06:45,250
+volt maximum و لا ال RMS ال RMS وكل القوانين تبعتي
+
+98
+00:06:45,250 --> 00:06:49,430
+بشتغل عليها على RMS أنا وبالتالي قاللي هذي طلحها I
+
+99
+00:06:49,430 --> 00:06:54,710
+RMS بقول هذي الاتنين بيعمل هيك و بيعمل هيك بصح
+
+100
+00:06:54,710 --> 00:07:00,410
+ليه؟مش جزر تنين في جزر تنين طيب هذه I I maximum I
+
+101
+00:07:00,410 --> 00:07:08,270
+جزر تين مش هي RMS و هذه هي VRMS إذا الصيغة الـP
+
+102
+00:07:08,270 --> 00:07:15,070
+average بيساوي IRMS في VRMS في cos ف في cos فطلعت
+
+103
+00:07:15,070 --> 00:07:20,710
+بهذه الصيغة انا المفروض القانون في ال DC circuit I
+
+104
+00:07:20,710 --> 00:07:27,670
+في V هنا طلعت I في V بصناعتة cos فنطة cos فى ليه؟
+
+105
+00:07:27,670 --> 00:07:32,750
+منون اجت؟ cos فى اجت لان انت لما تيجي تضرب مشكلتك
+
+106
+00:07:32,750 --> 00:07:36,250
+ان انت عارفش تضرب حد يعني خمسة في تلاتة مش جاي مان
+
+107
+00:07:36,250 --> 00:07:39,310
+بتسوي خمستعاش عندهم لان لما تكون انت خمسة ليك مش
+
+108
+00:07:39,310 --> 00:07:42,830
+مبروه تكون تلاتة في اللحظات هى هى قعدنا نشوف كيف
+
+109
+00:07:42,830 --> 00:07:47,530
+بعض الرسمات بالتالي اجت cos فى تطلعوا انتوا واكتش
+
+110
+00:07:47,530 --> 00:07:50,570
+هدى ال P average بيساوي هدى فى هدى وهدى مالهاش
+
+111
+00:07:50,570 --> 00:07:55,850
+دعوة لان هدى تكون اس فى0 لما تكون 0 معناته ال
+
+112
+00:07:55,850 --> 00:07:58,850
+phase بيصلوا مع بعض لما تكون هذه خمسة هذه تكون
+
+113
+00:07:58,850 --> 00:08:02,170
+تلاتة لما تكون هذه اتنين هذه تكون اقل شوية و هكذا
+
+114
+00:08:02,170 --> 00:08:04,370
+لما تكون واحدة maximum التانية بالضرورة تكون
+
+115
+00:08:04,370 --> 00:08:06,790
+maximum لما تكون واحدة minimum التانية بالضرورة
+
+116
+00:08:06,790 --> 00:08:10,210
+تكون minimum بالتالي انت بتضرب ضرب عادي وهذه
+
+117
+00:08:10,210 --> 00:08:14,450
+الشغله المنطقية عشان كده ايش بنقول قصان الفي ايه
+
+118
+00:08:14,450 --> 00:08:20,640
+شقبق قيمة لها؟وأزر قيمة صفر هال gate اللي مكتوب
+
+119
+00:08:20,640 --> 00:08:26,400
+شباب اللي مكتوب عندكم على ال generator هو هذا في
+
+120
+00:08:26,400 --> 00:08:31,810
+هذاهذه بيسموها الـ Real الـ Apparent Power الـ
+
+121
+00:08:31,810 --> 00:08:36,490
+Apparent Power القدرة الظاهرة هادي في هادي بتطلع
+
+122
+00:08:36,490 --> 00:08:39,610
+عندي انا واحد اللي انا بستهلكه هادي بتضربها في
+
+123
+00:08:39,610 --> 00:08:42,530
+قصاني الفاي قصاني الفاي غالبا بتكونش بتسوي واحد
+
+124
+00:08:42,530 --> 00:08:47,590
+بتسوي 0.8 أو 0.7 عشان كده بيقول انا عندي هادي في
+
+125
+00:08:47,590 --> 00:08:50,710
+هادي هي اللي بيكون مكتوب على ال generator ال I RMS
+
+126
+00:08:50,710 --> 00:08:55,190
+في ال V RMS بيكون كتبين عليها تلات تلافكيلو فولت
+
+127
+00:08:55,190 --> 00:08:57,350
+انبير اذا ما اريد استخدام كيلو فولت انبير اذا ما
+
+128
+00:08:57,350 --> 00:08:57,370
+اريد استخدام كيلو فولت انبير اذا ما اريد استخدام
+
+129
+00:08:57,370 --> 00:08:58,310
+كيلو فولت انبير اذا ما اريد استخدام كيلو فولت
+
+130
+00:08:58,310 --> 00:08:58,310
+انبير اذا ما اريد استخدام كيلو فولت انبير اذا ما
+
+131
+00:08:58,310 --> 00:08:58,930
+اريد استخدام كيلو فولت انبير اذا ما اريد استخدام
+
+132
+00:08:58,930 --> 00:09:00,090
+كيلو فولت انبير اذا ما اريد استخدام كيلو فولت
+
+133
+00:09:00,090 --> 00:09:02,970
+انبير اذا ما اريد استخدام كيلو فولت انبير اذا ما
+
+134
+00:09:02,970 --> 00:09:05,990
+اريد استخدام كيلو فولت انبير اذا ما اريد استخدام
+
+135
+00:09:05,990 --> 00:09:10,810
+كيلو فولت انبير اذا ما اريداللي بيكون مكتوب شباب
+
+136
+00:09:10,810 --> 00:09:14,910
+دايما على ال generator هي ال RMS value فى ال V RMS
+
+137
+00:09:14,910 --> 00:09:17,470
+value انه انا معرفه ان ال power مستوى I فى ال V
+
+138
+00:09:17,470 --> 00:09:22,690
+كده برضه جاله عشان يميز بديش احط watt بدي احط volt
+
+139
+00:09:22,690 --> 00:09:25,940
+ampere هجيت فى الفيزيا volt ampere مش هي wattهي
+
+140
+00:09:25,940 --> 00:09:29,460
+وقتي في النهاية لكن برضه عشان التمييز التجاري
+
+141
+00:09:29,460 --> 00:09:33,560
+قالوا خلّي الوقت مفهوم يصيرها مفهوم و الوقت مفهوم
+
+142
+00:09:33,560 --> 00:09:36,420
+قالوا خلّي الوقت هي الشغلة اللي انت في الحقيقة
+
+143
+00:09:36,420 --> 00:09:42,140
+بتستغلها في الآخر انت بدك تشغل جهاز عبارة عن الف
+
+144
+00:09:42,140 --> 00:09:46,030
+وقت تقدرش تشغله مقدرش تشغلهتمام؟ ليش؟ لأنه أنا ب
+
+145
+00:09:46,030 --> 00:09:50,510
+.. مظبوط هو لكن بديك ألف وات لكن بيصلقاش الف وات
+
+146
+00:09:50,510 --> 00:09:54,530
+في النهاية عشان كده تمانية تقدر تشغل فخلوا الوقت
+
+147
+00:09:54,530 --> 00:09:58,690
+لل .. لل real power فخلوا الوقت للشغل ال real أما
+
+148
+00:09:58,690 --> 00:10:02,050
+ال appearance الشغل الظاهر انه مكتوب عليها الجدى
+
+149
+00:10:02,180 --> 00:10:05,660
+عشان كده بيسموها apparent power هذا الظاهر هذا
+
+150
+00:10:05,660 --> 00:10:08,640
+المكتوب على ال generator ال real اللي انت بتقدر
+
+151
+00:10:08,640 --> 00:10:11,840
+تستخدمه بيكتبه من ال cosine of y و ال cosine of y
+
+152
+00:10:11,840 --> 00:10:17,760
+بيعتمد على الدائرة تبعتك حسب إيش فيها طبعا و كنا
+
+153
+00:10:17,760 --> 00:10:22,100
+بنعرف لو كانت في الشغل العملية الآن نحكي عن الشغل
+
+154
+00:10:22,100 --> 00:10:27,560
+العملية مافيش دائرة ممكن تكون L لحالها ب your L او
+
+155
+00:10:27,560 --> 00:10:30,780
+ب your C لإن احنا فيها إنا أي سلك في الدنيا مقام
+
+156
+00:10:30,780 --> 00:10:37,360
+to zeroلأ نظريا اه بس عمليا لأ وبالتالي حتى الملف
+
+157
+00:10:37,360 --> 00:10:39,360
+هنقول عنه inductor المواد الملف عبارة عن سلك
+
+158
+00:10:39,360 --> 00:10:45,060
+الحاسب والحاسب المقاومة بالنفس العملية هل في عندك
+
+159
+00:10:45,060 --> 00:10:47,580
+دائرة كهربائية حقيقية في مصنع ولا في بيت ولا في
+
+160
+00:10:47,580 --> 00:10:51,600
+مشغل مايكونش في عندك ملفات ولا ممكن الا يكون في
+
+161
+00:10:51,600 --> 00:10:55,650
+ILSبالتالي الديارة الحقيقية بيكون غالبا فيها
+
+162
+00:10:55,650 --> 00:10:58,950
+التلات أنواع ال R و ال L و ال C في كل الديارة
+
+163
+00:10:58,950 --> 00:11:02,370
+الكهربائية الحقيقية في بيوتنا في مصانعنا في مشغلنا
+
+164
+00:11:02,370 --> 00:11:05,270
+وين ما كان متلابس هدول التلاتة لان مش هي الديارة
+
+165
+00:11:05,270 --> 00:11:09,590
+الكهربية تبعتي البيت هي كل الأجهزة الشغالة هي كل
+
+166
+00:11:09,590 --> 00:11:13,460
+المطارات الشغالة خلاني أقول مصنعمفترات كتيرة و او
+
+167
+00:11:13,460 --> 00:11:16,540
+او حاجة هو اهم حاجة موجودة في المطرات غير الأسلاك
+
+168
+00:11:16,540 --> 00:11:19,560
+هي الملفات مائة ألف ملف موجود ان تقول كل جهاز خش
+
+169
+00:11:19,560 --> 00:11:22,940
+جوا بتلاقي فيه ملفات فبالتالي الألموجودة طبعا
+
+170
+00:11:22,940 --> 00:11:25,500
+بالإضافة إلى ال C الكثير الأجهزة بيكون فيها C's
+
+171
+00:11:25,500 --> 00:11:28,740
+اللي هو الcapacitors والأسلاك والارض ما هي مفهومين
+
+172
+00:11:28,740 --> 00:11:31,580
+هدول already موجودة by default فبالتالي الدوائل
+
+173
+00:11:31,580 --> 00:11:37,210
+الحقيقيةالعملية غالبا بيكون فيها R و L و C .. R و
+
+174
+00:11:37,210 --> 00:11:42,590
+L و C .. تمام .. و هدول التراتة شركتهم بتحدد قيمة
+
+175
+00:11:42,590 --> 00:11:46,870
+Phi .. شركتهم هي بتحدد قيمة Phi في الدائرة
+
+176
+00:11:53,460 --> 00:11:56,300
+معامل ال power يعني انا عندى ال power ألف بضرورة
+
+177
+00:11:56,300 --> 00:12:00,160
+في معامل معين عشان اشوف كده انا بستفيد منها فاسمه
+
+178
+00:12:00,160 --> 00:12:04,380
+cos φ عبارة عن معامل ال power طيب ايش محق واحدة
+
+179
+00:12:04,380 --> 00:12:09,700
+cos ف هلجت؟وحدتها مالهاش وحدة لإن احنا متقنين ال
+
+180
+00:12:09,700 --> 00:12:12,800
+power volt ampere او هديك volt ampere اذا انا دي
+
+181
+00:12:12,800 --> 00:12:15,960
+مالهاش عشان كده دول اصلا مالها معامل معامل ال
+
+182
+00:12:15,960 --> 00:12:19,360
+power تمام it is clear that حاجات اللي اتول انا
+
+183
+00:12:19,360 --> 00:12:24,780
+حكيته for a purely resistive power شغلها نظرية
+
+184
+00:12:24,780 --> 00:12:28,520
+مافيش عندك الا مقاومة مش بيكون ال I و ال V in
+
+185
+00:12:28,520 --> 00:12:34,370
+phase يعني الفاي هدي زفرلما يكون صفر كوساين صفر
+
+186
+00:12:34,370 --> 00:12:39,590
+واحد بتكون هذه average بالساوى maximum وهذه لو ان
+
+187
+00:12:39,590 --> 00:12:43,250
+في عندى انا دائرة ال motor generator مظبوط فيها
+
+188
+00:12:43,250 --> 00:12:47,090
+ملفات ولا فيها capacitors كان انا مكتوب الف بستفيد
+
+189
+00:12:47,090 --> 00:12:51,400
+الف لكن هذه الصغارات ماتحصلشالفيز أنجل فاي هو زيرو
+
+190
+00:12:51,400 --> 00:12:55,680
+والقوة الواحدة هي واحدة يعني بسوء واحد and so the
+
+191
+00:12:55,680 --> 00:12:58,420
+average power is maximum قال لي طب لو كان في عندك
+
+192
+00:12:58,420 --> 00:13:06,340
+دائرة فيها بس C أو بس L بس C فاي ب 97 درجة فقط L
+
+193
+00:13:06,340 --> 00:13:10,520
+بتكون فاي ب 97 انا في النهاية عندي cosine ال
+
+194
+00:13:10,520 --> 00:13:14,880
+cosine أرجع أقول even و load functionالكوساين even
+
+195
+00:13:14,880 --> 00:13:18,200
+يعني كوساين التسعين و لا كوساين السالب تسعين بتفرج
+
+196
+00:13:18,200 --> 00:13:23,660
+و جديش بالساوي zero مافيش power تطلع مافيش power
+
+197
+00:13:23,660 --> 00:13:27,720
+وهذه شغلة منطقية خلينا نشوف انه بيقول في ال
+
+198
+00:13:27,720 --> 00:13:31,860
+capacitor و في ال inductor مافيش طاقة مافيش power
+
+199
+00:13:31,860 --> 00:13:36,240
+ليش؟ بيقول هو نيجي نرجع روح حد واحدة ال capacitor
+
+200
+00:13:36,240 --> 00:13:42,420
+ايش شغلته؟يخزّن طاقة والإندكتور الشغلته يخزّن طاقة
+
+201
+00:13:42,420 --> 00:13:46,760
+إذا قد تخزين بس هنا إيش مشكلة كمان في ال .. في ال
+
+202
+00:13:46,760 --> 00:13:49,320
+EC circuit في ال DC circuit بيخزّن طاقة .. الطاقة
+
+203
+00:13:49,320 --> 00:13:52,860
+موجودة في ال EC circuit بيقول لإنه مع .. مع الأسف
+
+204
+00:13:52,860 --> 00:13:57,660
+أو مع .. مع .. مع حصن الحظ والاستخدام إنه التيار
+
+205
+00:13:57,660 --> 00:14:00,380
+مرة بيكون مجرد ومرة بيكون سالد بالتالي بيخزّن بعض
+
+206
+00:14:00,380 --> 00:14:03,680
+بيفقد بيخزّن بعض بيفقد في المحصلة ال source بيعطيك
+
+207
+00:14:03,680 --> 00:14:06,480
+بوارة بعض بيقول خدها بيديك بوارة بعض بيقول خدها في
+
+208
+00:14:06,480 --> 00:14:10,590
+النهاية ده مافيش بوارةمافيش power استخدمة لإن ال
+
+209
+00:14:10,590 --> 00:14:14,710
+power رايحة جاية ال doctor بيخزن power في نص بيعود
+
+210
+00:14:14,710 --> 00:14:17,750
+بفقد ال power بيوديه لل source في الأخر إذا مافيش
+
+211
+00:14:17,750 --> 00:14:23,950
+أسلاك إنه مقاومة مافيش أي فقد في الطاقةبالتالي ال
+
+212
+00:14:23,950 --> 00:14:28,430
+power فقط تفقد في المقاومات طبعا هل تفقين ان كمان
+
+213
+00:14:28,430 --> 00:14:33,510
+مرة بنعيد مافيش pure A اطلاقا مافيش pure C اطلاقا
+
+214
+00:14:33,510 --> 00:14:36,190
+لازم يكون في عندك مقاومات وبالتالي هذه الشكلة
+
+215
+00:14:36,190 --> 00:14:40,190
+النظرية ان الطاقة بتبقى zero لكن الطاقة لأ بتكون
+
+216
+00:14:40,190 --> 00:14:44,950
+مفقودة في هذا الكلام قعدنا بنشوف طبعا زي ما توي
+
+217
+00:14:44,950 --> 00:14:50,110
+حكينا عشان بس نوضح هذه الشغلات اكترهذه نشوف كيف
+
+218
+00:14:50,110 --> 00:14:55,570
+بيصير معاك هذه بيقوللي resistive power بيقوللي هذا
+
+219
+00:14:55,570 --> 00:15:00,690
+تيار وهذا جهود هذا تيار وهذا جهود طبعا هدول اتنين
+
+220
+00:15:00,690 --> 00:15:04,030
+minimum اتنين maximum اضربهم في بعض تطلع هذه ال
+
+221
+00:15:04,030 --> 00:15:08,470
+powerالقوة هذه الخضراء لما تقضي على القوة هذه قوة
+
+222
+00:15:08,470 --> 00:15:11,850
+positive و positive تعالى هنا شوف سالب مع سالب ايش
+
+223
+00:15:11,850 --> 00:15:14,730
+سالب في سالب ايش موجب يعني في النهاية ما زالت
+
+224
+00:15:14,730 --> 00:15:17,230
+الاتنين ماشيين مع بعض لما اتنين يكون موجبات موجبات
+
+225
+00:15:17,230 --> 00:15:20,010
+اتنين واحدة سالبة التانية بتكون سالبة في النهاية
+
+226
+00:15:20,010 --> 00:15:22,810
+يعني القوة مش I في V بتقضي سالب في سالب تلاقى
+
+227
+00:15:22,810 --> 00:15:26,190
+موجبة فتقول ان انت هنا ضربتهذه في هذه الضربات ..
+
+228
+00:15:26,190 --> 00:15:29,570
+فاعتقوا من العلي و الوطي احنا مااتفقين ممكن اش
+
+229
+00:15:29,570 --> 00:15:32,590
+نقارن من اعلى من التاني تماما لإن هذي وط هذي امبير
+
+230
+00:15:32,590 --> 00:15:35,930
+هذي فولت ما .. ماناجعها فيها بالتالي بيقولي هنا ال
+
+231
+00:15:35,930 --> 00:15:40,410
+power زي ما انت شايف ممكن او زي رو او اسوأ الظروف
+
+232
+00:15:40,410 --> 00:15:42,730
+بقدر اجيب ال average بقدر اجيب ال averageلها قيمة
+
+233
+00:15:42,730 --> 00:15:47,830
+معينة بقدر اجيبها و بشتغلها مافيش اي مشكلة عندي لو
+
+234
+00:15:47,830 --> 00:15:51,870
+كان في عندي فقط C او فقط L ايش بصير؟ واحد بدى
+
+235
+00:15:51,870 --> 00:15:55,130
+يتقدم عن التاني بتسعين درجة لما يكون فقط L او فقط
+
+236
+00:15:55,130 --> 00:16:00,010
+C واحد بدى جاهز يتقدم، مين يتقدم؟ في الـL الجهد
+
+237
+00:16:00,010 --> 00:16:03,590
+بتقدم وفي الـC الطيارة اللى بتقدم، مظبوط ولا لأ؟
+
+238
+00:16:03,590 --> 00:16:06,710
+بفريش معناه كتير خلّينا هذا purely resistive
+
+239
+00:16:06,710 --> 00:16:14,060
+circuit circuit هذه أساسي مش موجودة تمامها بيقولي
+
+240
+00:16:14,060 --> 00:16:19,880
+reactive يعني reactive اما C او L بيفرجش معانا هنا
+
+241
+00:16:19,880 --> 00:16:24,220
+طلعاش بصير معاك بيقولي هادي positive و هادي
+
+242
+00:16:24,220 --> 00:16:27,920
+positive بطلع positive طبعا هنا برضه positive و
+
+243
+00:16:27,920 --> 00:16:31,200
+positive زرعي اما هنا في هذا النص هادي positive
+
+244
+00:16:31,200 --> 00:16:35,140
+هادي ايش positive في negative negative تطلع عندك
+
+245
+00:16:35,140 --> 00:16:40,170
+negativeعشان 90 درجة وانت بتمشي هتلاقي ال positive
+
+246
+00:16:40,170 --> 00:16:42,590
+بيساوي ال negative .. positive بيساوي ال negative
+
+247
+00:16:42,590 --> 00:16:45,130
+.. خدي ال average .. Zero .. Zero .. Zero .. Zero
+
+248
+00:16:45,130 --> 00:16:46,870
+.. Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+249
+00:16:46,870 --> 00:16:46,870
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+250
+00:16:46,870 --> 00:16:46,970
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+251
+00:16:46,970 --> 00:16:46,990
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+252
+00:16:46,990 --> 00:16:46,990
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+253
+00:16:46,990 --> 00:16:46,990
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+254
+00:16:46,990 --> 00:16:48,490
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+255
+00:16:48,490 --> 00:16:48,910
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+256
+00:16:48,910 --> 00:16:48,910
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+257
+00:16:48,910 --> 00:16:49,150
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+258
+00:16:49,150 --> 00:16:49,150
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+259
+00:16:49,150 --> 00:16:49,190
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+260
+00:16:49,190 --> 00:16:49,270
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+261
+00:16:49,270 --> 00:16:49,350
+Zero .. Zero .. Zero .. Zero .. Zero .. Zero ..
+
+262
+00:16:49,350 --> 00:16:56,370
+Zero ..
+
+263
+00:16:56,370 --> 00:17:01,970
+Zero .. Zero ..بتطلع negative وهنا positive مع
+
+264
+00:17:01,970 --> 00:17:06,150
+negative وهي negative تبعي وهنا برجع negative مع
+
+265
+00:17:06,150 --> 00:17:11,990
+negative positive وهكذا فبتلاقي هذه هي موجودة و
+
+266
+00:17:11,990 --> 00:17:16,750
+بتطلع ال power zero طب لو جمعتهم كلهم بطلع التنين
+
+267
+00:17:16,750 --> 00:17:20,970
+مش مع بعض بس تزاوية مش تسعين درجة متفقنا لأ لما
+
+268
+00:17:20,970 --> 00:17:25,650
+تكون R وL وC بتكون هذه five مش تسعين تلاتي ستين
+
+269
+00:17:25,650 --> 00:17:29,870
+اربعين مش عارفهابقى تكون الرسمة بيقول الرسمة في
+
+270
+00:17:29,870 --> 00:17:33,290
+هذه الحالة بتكون هيك حاجة هذا و هذا مش 90 درجة
+
+271
+00:17:33,290 --> 00:17:37,790
+بيكون مرات positive و مرات negative لكن ايش بيكون
+
+272
+00:17:37,790 --> 00:17:40,530
+ال positive اكتر من ال negative بيسوهوش بالظبط تفه
+
+273
+00:17:40,530 --> 00:17:43,110
+انت ال negative شغلة صغيرة و هنا ال negative شغلة
+
+274
+00:17:43,110 --> 00:17:46,510
+صغيرة هذه لما ايش لما تكون عندك ال R و ال L و ال C
+
+275
+00:17:46,510 --> 00:17:51,650
+مع بعضكلهم مع بعض يعني طبعا انا كلهم مع بعض حتى لو
+
+276
+00:17:51,650 --> 00:17:54,670
+واحد منهم فقد بقى دي اعتبرهم كلهم مع بعض بالتالي
+
+277
+00:17:54,670 --> 00:17:59,750
+لكن ال average ماهواش فيه لو كان هذا zero بروح منه
+
+278
+00:17:59,750 --> 00:18:04,210
+هادي و كأنها هي قصان الفاي اللي بتضايق السالب اللي
+
+279
+00:18:04,210 --> 00:18:10,360
+موجود قصان الفاي بتضايقه في هذه الشغلة تمامطبعا
+
+280
+00:18:10,360 --> 00:18:14,500
+احنا ال power اللي استخدمناها بس هحطها و نكمل
+
+281
+00:18:14,500 --> 00:18:18,480
+شغلنا و يأكد الكلام اللي احنا بنحكيه انه لا ال
+
+282
+00:18:18,480 --> 00:18:22,880
+capacitor ولا ال inductor بيعمل consuming لل power
+
+283
+00:18:22,880 --> 00:18:29,340
+احنا بقولنا ال power average بتساوي I maximum
+
+284
+00:18:29,340 --> 00:18:31,060
+sorry I RMS
+
+285
+00:18:36,220 --> 00:18:42,900
+وهي قيمة طلعناها جالي المنطق انه لما كنت عندي
+
+286
+00:18:42,900 --> 00:18:51,000
+دائرة زي هيك في كنة و هيك و هيك و ان هذه I في
+
+287
+00:18:51,000 --> 00:18:56,010
+إبسلون معناته هنا I تربع في الارهنا بيكون فيه
+
+288
+00:18:56,010 --> 00:18:58,510
+power وهنا بيكون فيه power اقول ال power هذه وهذه
+
+289
+00:18:58,510 --> 00:19:03,390
+وهذه ساوة هذه صحيح ولا لأ؟ هذا في ال DC circuit في
+
+290
+00:19:03,390 --> 00:19:06,730
+ال EC circuit نفس القضية المفروض هذه ال power اللي
+
+291
+00:19:06,730 --> 00:19:12,230
+انت طلعت ليها وانت في عندك R وC وL بتجيب ال power
+
+292
+00:19:12,230 --> 00:19:14,150
+اللي هان و ال power اللي هان و ال power اللي هان
+
+293
+00:19:14,150 --> 00:19:19,330
+إذا هذه ساوة بس هذه ماتهدولش فيهم Zero power صح
+
+294
+00:19:19,330 --> 00:19:24,930
+ولا لأ؟ هجت هذه فيهااشتقها وشوف ما بتطلع معاك بدي
+
+295
+00:19:24,930 --> 00:19:29,510
+اثبت الان انها بتساوي بس I تربيع في ال R بأكد ان
+
+296
+00:19:29,510 --> 00:19:33,870
+كل ال بيورمين راحت بس في المقاومة لأ كمستر فاية
+
+297
+00:19:33,870 --> 00:19:37,790
+استهلاك طاقة ولا ال inductor استهلاك طاقة جالي
+
+298
+00:19:37,790 --> 00:19:44,410
+قصان الفاي زمان لما يعملتي المثلف هذا قولت هدي V
+
+299
+00:19:44,410 --> 00:19:51,810
+مكسما هدي VR و هدي VL ناقص VC ذاكرينه؟هذه الزاوية
+
+300
+00:19:51,810 --> 00:19:56,190
+فاى وقنية متان الفاى بتساوي هذه على هذه الان بدي
+
+301
+00:19:56,190 --> 00:20:00,310
+ال cosine الفاى مش هذه على هذه تمام بقول ال cosine
+
+302
+00:20:00,310 --> 00:20:02,930
+الفاى بتساوي VR على دي maximum طبعا احنا ممكن
+
+303
+00:20:02,930 --> 00:20:06,610
+نكتبهم كتالة هذه ممكن يجي محلها Z لان هذه بتساوي I
+
+304
+00:20:06,610 --> 00:20:15,270
+في Zو هذه بتساوي I عام المشترك XL-XC وهذه بتساوي I
+
+305
+00:20:15,270 --> 00:20:22,850
+في ال R فممكن تجيب I و I و I و تحط في المثلث ZRXL
+
+306
+00:20:22,850 --> 00:20:26,110
+-XC وبالتالي Z بتساوي هذه التربيهة زاد هذه
+
+307
+00:20:26,110 --> 00:20:31,250
+التربيهةبالظبط هي من هنا جت فى ان هذا المتلقى
+
+308
+00:20:31,250 --> 00:20:36,290
+المهم cos فى بس نذكره انه بتساوي مجاور عاطر مجاور
+
+309
+00:20:36,290 --> 00:20:41,190
+عبقر عطر ال VR قانونها بتساوي I maximum فى ال R ال
+
+310
+00:20:41,190 --> 00:20:44,190
+VR بتساوي I maximum فى ال R قال يلا عوّد مثل cos
+
+311
+00:20:44,190 --> 00:20:48,990
+فى هنا بتحط حجة cos فى طلعت لما اتعودتها طلعت
+
+312
+00:20:48,990 --> 00:20:57,680
+خليني انا اعملها بدل هادي احط I ارمزوهي V RMS بعد
+
+313
+00:20:57,680 --> 00:21:02,340
+الـ cos 5 بدي أحط I maximum في ال R على V maximum
+
+314
+00:21:02,340 --> 00:21:07,360
+هجت ال I maximum و V maximum من وين بجيبها؟ ال I
+
+315
+00:21:07,360 --> 00:21:13,920
+maximum هذه بتساوي جزء التمين I RMSحسنًا هذي بيسوي
+
+316
+00:21:13,920 --> 00:21:19,820
+جزء 2 V أرمس جزء 2 مع جزء 2 راحت V أرمس مع V أرمس
+
+317
+00:21:19,820 --> 00:21:23,860
+راحت أي أرمس و أي أرمس دربيع في R إذا إيش معناته
+
+318
+00:21:23,860 --> 00:21:29,290
+هنا بيقول ال B average تحت ال source دور عليهاكلها
+
+319
+00:21:29,290 --> 00:21:33,330
+استهلكتها المقاومة، كلها استهلكت في المقاومة، هذا
+
+320
+00:21:33,330 --> 00:21:37,090
+بيأكد أن لا هنا في استهلاك طاقة ولا هنا في استهلاك
+
+321
+00:21:37,090 --> 00:21:41,510
+طاقة، الكلام اللي توحكناه والرسمات بتأكد هذا
+
+322
+00:21:41,510 --> 00:21:46,820
+الكلامإذا اللي أنا المعلومة اللي بدي إياها في
+
+323
+00:21:46,820 --> 00:21:51,080
+الآخر بيقول لي the power is completely dissipated
+
+324
+00:21:51,080 --> 00:21:56,860
+كلها استخلكات through the resistor i.e. no energy
+
+325
+00:21:56,860 --> 00:22:03,540
+dissipation in a capacitor or an inductorطبعا انه
+
+326
+00:22:03,540 --> 00:22:10,960
+في ال C و في ال L عشان الفيار متردد الطاقة تروح
+
+327
+00:22:10,960 --> 00:22:14,840
+الكباسة تربعها و ترجحها تروح عليها و ترجحها عشان
+
+328
+00:22:14,840 --> 00:22:18,880
+بيشحن و بيفقد في نفس القضية وبالتالي الشغل المنطقي
+
+329
+00:22:18,880 --> 00:22:23,660
+انه مايكونش فيه بوار اطلاقا هذا مثال طبعا هذه
+
+330
+00:22:23,660 --> 00:22:27,670
+مقدمة ال section هذا و اللي وراهمقدمة لمواضيع كتير
+
+331
+00:22:27,670 --> 00:22:32,350
+واسعة خصوصا في الهندسة الكهربية بتلاقي كتب كاملة
+
+332
+00:22:32,350 --> 00:22:36,510
+على البور وعلى الشغلات اللي زي هذه وفي courses
+
+333
+00:22:36,510 --> 00:22:43,190
+اسمهم circuits و ال machines المكن تتعاملوا مع
+
+334
+00:22:43,190 --> 00:22:46,770
+البور فبالتالي هذه موضوع صغير مقدمة
+
+335
+00:22:48,760 --> 00:22:51,860
+لموضوع عبارة عن عدد شباتر وعبارة عن عنوان course
+
+336
+00:22:51,860 --> 00:22:57,100
+كامل موجود في قسم الهندسة الكهربية كيف تتعامل مع
+
+337
+00:22:57,100 --> 00:23:00,140
+البوار و ال generators و الشغلات اللي زي هذه و جثة
+
+338
+00:23:00,140 --> 00:23:02,740
+البوار ال apparent و ال real و ال imaginary و في
+
+339
+00:23:02,740 --> 00:23:06,200
+جثات كبيرة احنا لما ندخل في تفاصيلها كلها ان انت
+
+340
+00:23:06,200 --> 00:23:08,660
+لو حاطيتها على ال net شغلات زي هيك هتلاقي شغلات
+
+341
+00:23:08,660 --> 00:23:12,360
+ممرضتش عليك لإن في معادلات ليها معقدة كيف تجيب ال
+
+342
+00:23:12,360 --> 00:23:14,800
+imaginary part و ال real part و كيف تحل المعادلة
+
+343
+00:23:14,800 --> 00:23:18,420
+اللي فيها sin و cos و sin تربيةقضية طويلة احنا
+
+344
+00:23:18,420 --> 00:23:22,660
+بهمنا في الآخر يعني خلّيني اقول قشور الموضوع عشان
+
+345
+00:23:22,660 --> 00:23:25,920
+كده هتلاقي ال example شغبة بسيطة جدا المعلومة اللي
+
+346
+00:23:25,920 --> 00:23:31,360
+انا عندى انه في عندى power factor ال power تبع ال
+
+347
+00:23:31,360 --> 00:23:35,560
+source عبارة عن ال IRMS VRMS و بقفش بحط جنب كسن
+
+348
+00:23:35,560 --> 00:23:39,650
+الفايهذه الطاقة وانفق ذات كاملة في المقاومة لو
+
+349
+00:23:39,650 --> 00:23:42,550
+قاللي اودر كل الطاقة بقوله اي ارمس تربيع في الارض
+
+350
+00:23:42,550 --> 00:23:47,170
+زي هذا المثال بقولي ان ا سيريز RLC circuit we have
+
+351
+00:23:47,170 --> 00:23:50,630
+ال V maximum اللي اعطاكيه 150 volt طبعا ال V
+
+352
+00:23:50,630 --> 00:23:54,830
+maximum لو بده ال V ارمس بتجيبه صحيح ولا لأ تمام R
+
+353
+00:23:54,830 --> 00:24:02,580
+وC وL معطىومجة مُعطَى What is the power delivered
+
+354
+00:24:02,580 --> 00:24:05,340
+to the circuit؟ بيقول يقدّش ال power اللي أنا
+
+355
+00:24:05,340 --> 00:24:08,420
+جايبها من ال source أنا بدل ما أقول cos φ و أغلب
+
+356
+00:24:08,420 --> 00:24:10,940
+حالي بقول ال power تبعت ال source هي نفس ال power
+
+357
+00:24:10,940 --> 00:24:14,900
+تبعت المقامة ولا لأ؟ما هي فيش غيرها ماحنا متفقين
+
+358
+00:24:14,900 --> 00:24:18,720
+اذا معناته ال power لو جبتها بدل ما اقول I رمز V
+
+359
+00:24:18,720 --> 00:24:23,380
+رمز كصين الفاى ممكن اقول I رمز تربيع في الار خلاص
+
+360
+00:24:23,380 --> 00:24:26,580
+ولا بدي كصين الفاى ولا بدي حاجة طب هذه من اين
+
+361
+00:24:26,580 --> 00:24:33,770
+اجيبها بقول هذه عبارة عن V RMS على Zعلى Z لأن هذه
+
+362
+00:24:33,770 --> 00:24:37,190
+دائرة كاملة شايفينش فيها فيها R و L و C وبالتالي
+
+363
+00:24:37,190 --> 00:24:41,130
+بدي أنا المقاومة الكلية مش واحد ينسى يقول هدول
+
+364
+00:24:41,130 --> 00:24:45,470
+متواصلة على التوالي معناته R زاد XL زاد XC هذا
+
+365
+00:24:45,470 --> 00:24:48,830
+كلام مافيش منه لأن أنا بجمع جماعة عادي ماحياتي Z
+
+366
+00:24:48,830 --> 00:24:54,850
+سميتها تمام Z بقدر أجيبهابقانونها V على max مديني
+
+367
+00:24:54,850 --> 00:24:59,530
+V maximum مقدر اجيبها و ال R موطن خلص السؤال تمام
+
+368
+00:24:59,530 --> 00:25:03,930
+هو طبعا هذا مثال الأرقام هذه السابقة فهو بيقول هنا
+
+369
+00:25:03,930 --> 00:25:08,490
+from the previous example في example سابق يعطيني
+
+370
+00:25:08,490 --> 00:25:12,670
+نفس القيمة مطلعة قيمة Z بيقول Z بتساوي هذا هي 518
+
+371
+00:25:12,670 --> 00:25:16,290
+طبعا هذه Z شبه الكلمة مرة نذكرها Z بتساوي square
+
+372
+00:25:16,290 --> 00:25:25,290
+root of R square plus XL نقص XCكاربيا هادي XLبساوة
+
+373
+00:25:25,290 --> 00:25:29,790
+Omega في L وهذه بساوة واحد على Omega في C عشان
+
+374
+00:25:29,790 --> 00:25:34,150
+نظرنا نذاكرينهم بالتالي Omega بعطية L بعطية طلعت
+
+375
+00:25:34,150 --> 00:25:39,430
+XL C معطية و Omega بعطية طلعت XC وR بعطية بعمل
+
+376
+00:25:39,430 --> 00:25:43,150
+كالكوليتر تطلع Z Z طلعت عندي 518 Ohm أول ما طلع
+
+377
+00:25:43,150 --> 00:25:48,790
+518 Ohm بقول I على M S بساوة V maximum عاجزة 2 في
+
+378
+00:25:48,790 --> 00:25:54,530
+Z لأن عشان هذه V maximum عاجزة 2 هي V على M Sفهي
+
+379
+00:25:54,530 --> 00:25:58,390
+طلعت ال I RMS خلاص خلص السؤال بقول على طول B
+
+380
+00:25:58,390 --> 00:26:02,650
+average بتثوي ال I RMS تربيع في ال R وطلاقها بتثوي
+
+381
+00:26:02,650 --> 00:26:09,230
+18.1 watt طبعا لو حطيت I RMS في V RMS بتطلع اكتر
+
+382
+00:26:09,230 --> 00:26:12,410
+من 18.1 watt و هناك بيسموها شوية بيسميها volt
+
+383
+00:26:12,410 --> 00:26:16,710
+ampere اللي هي ال RMS في ال V RMS تمام مش مشكلة
+
+384
+00:26:16,710 --> 00:26:22,770
+هذا الموضوع تبع ال powerأخر موضوع هو الـ Resonance
+
+385
+00:26:22,770 --> 00:26:25,990
+برضه موضوع احنا مابدناش نخش في تفاصيله لإنه برضه
+
+386
+00:26:25,990 --> 00:26:31,090
+بعتمد على شغلات كتيرة أو مقدمة لمواضيع كتيرة في ال
+
+387
+00:26:31,090 --> 00:26:34,650
+antennas و ال receiving و الشغلات اللي زيها دي لكن
+
+388
+00:26:34,650 --> 00:26:38,790
+احنا في النهاية ال resonance أخدنا بدنا نحكي عنه
+
+389
+00:26:38,790 --> 00:26:41,470
+كلمتين it is known that بيقول ال P average تو انت
+
+390
+00:26:41,470 --> 00:26:46,630
+اشتقته عبارة عن I أرمز تربيع في ال R هي ال I أرمز
+
+391
+00:26:46,630 --> 00:26:50,730
+تربيع بيسوي V أرمز تربيع على ال Z تربيع
+
+392
+00:26:53,050 --> 00:26:57,390
+مظبوط؟ لأن أنا برجّأ تمام ال Z هي هربحها اهدافيا
+
+393
+00:26:57,390 --> 00:27:01,010
+بتساوي هذه الصيرة تمام بقولي بس عشان نشتغلها صح
+
+394
+00:27:01,010 --> 00:27:04,170
+الاصل ان هذه بتكون maximum لما المقام يكون minimum
+
+395
+00:27:04,170 --> 00:27:07,470
+وعلى طول بتطيّن ان المقام minimum اذا هذه تهيأ
+
+396
+00:27:07,470 --> 00:27:11,250
+مروحصح ولا لأ؟ وهذا ال film ممكن يبروح أن هذه يسوي
+
+397
+00:27:11,250 --> 00:27:15,690
+هذا وهذا بيسوي هذا عندي ال resonance XL بيسوي ال
+
+398
+00:27:15,690 --> 00:27:20,250
+XC عندي ال resonance بيقول لي XL نقص XC هذه Omega
+
+399
+00:27:20,250 --> 00:27:25,310
+L وهذه واحدة على Omega C انت عارفها اشتغلها جبري
+
+400
+00:27:25,310 --> 00:27:30,150
+خد ال L تربيع Omega تربيع أو من هنا ال Omega خدها
+
+401
+00:27:30,150 --> 00:27:34,030
+عالم المشترك واشتغلها تطلع بهذه الصيغة بس في عادة
+
+402
+00:27:34,030 --> 00:27:40,000
+سياغة فكتبناها بصيغة هذه قاللي هذا هوهذا بيأكد أن
+
+403
+00:27:40,000 --> 00:27:44,600
+هذه هي omega not تربيع واحد على هذه فطلعت هذه
+
+404
+00:27:44,600 --> 00:27:48,220
+المعادلة بهذه الصيغة جالها جت له omega بس هو omega
+
+405
+00:27:48,220 --> 00:27:52,000
+not هتروح نفس الكلام معناته هذه ب average صارت
+
+406
+00:27:52,000 --> 00:27:57,040
+maximum صارت maximum ايه جالي ارسم ب average جالية
+
+407
+00:27:57,040 --> 00:28:01,450
+ال omega لو طلعت كده ده ارسمهاfrom the last
+
+408
+00:28:01,450 --> 00:28:03,490
+equation it is clear that the average power is
+
+409
+00:28:03,490 --> 00:28:07,330
+maximum when omega equal omega not يعني at
+
+410
+00:28:07,330 --> 00:28:11,150
+resonance صار في resonance at resonance the
+
+411
+00:28:11,150 --> 00:28:14,810
+average power is given by هذه روحات هذه بتروح مع
+
+412
+00:28:14,810 --> 00:28:19,050
+هذه و هذه بتروح مع هذه بيصير فيه تربيع على R مش
+
+413
+00:28:19,050 --> 00:28:22,490
+قضية برضه هذه صيغة بدلاش نحفظها بيقولوا يا مالدين
+
+414
+00:28:22,490 --> 00:28:28,760
+اليوم نرسمها بترسم هيك هاي ال powerهذا العرض تبع
+
+415
+00:28:28,760 --> 00:28:34,920
+الـ Cave هو دلالة على جودة ال circuit كل ما هذه
+
+416
+00:28:34,920 --> 00:28:39,420
+باقت كل ما كانت ال circuit جودة جدًا وبالتالي صار
+
+417
+00:28:39,420 --> 00:28:43,360
+في عندهم شغل القياس معدلي الجودة ليش؟ بقولك أنت في
+
+418
+00:28:43,360 --> 00:28:47,960
+النهاية بدك موجة بدي موجة إذا ها أنت بدك هذه وسمعت
+
+419
+00:28:47,960 --> 00:28:52,380
+هذه وسمعت هذهتمام؟ تسمحهم كلهم يصيبوا يشاوشوا لكن
+
+420
+00:28:52,380 --> 00:28:56,440
+هاذك هاذك اللي هاروحها تسمحها طبعا ال digital
+
+421
+00:28:56,440 --> 00:29:02,080
+الشارب T شارب في ال digital زي ما تاول كنا نحكي
+
+422
+00:29:02,080 --> 00:29:04,760
+احنا زمان مش على أيامكم على أيامنا كان في عندنا
+
+423
+00:29:04,760 --> 00:29:09,400
+محطات يمكن شبه انقرضتي لأ كنا نسمع منتقاله كنا
+
+424
+00:29:09,400 --> 00:29:14,160
+نسمع ال BBC و نسمع صوت العرب وهذه المحطات ماعش
+
+425
+00:29:14,160 --> 00:29:19,610
+منتقاله تسمعوا فيها ولا لأكانت إذاعة منتقله مشهورة
+
+426
+00:29:19,610 --> 00:29:23,990
+كتير وانشهرت أكتر حاجة في الحرب الإسرائيلية على
+
+427
+00:29:23,990 --> 00:29:28,090
+بيروت في التامينات المصري اللي احتلت ووصلت بيروت
+
+428
+00:29:28,090 --> 00:29:33,470
+فيناك وطبعا دي الأخر جلت في جنوب لبنان مدة طويلة
+
+429
+00:29:33,470 --> 00:29:38,790
+من كذا سنة بس انسحبت لكن أول ما اشتذت لبنان ووصلت
+
+430
+00:29:38,790 --> 00:29:41,790
+بيروت وطلعت الفلسطينيين ويا ما راحوا على تونس
+
+431
+00:29:41,790 --> 00:29:46,750
+فكانت انشرت منتقله كتير لأنه كانت أغلب أخبارهاالـ
+
+432
+00:29:46,750 --> 00:29:49,530
+pro palestinians يعني أخبارها كتير متأيدة
+
+433
+00:29:49,530 --> 00:29:52,710
+للفلسطينيين فو أنت ماشي فيها على شوارع غزة يمكن
+
+434
+00:29:52,710 --> 00:29:55,610
+تسعين فالمية من الناس فاتحين الراديو على منتقله بس
+
+435
+00:29:55,610 --> 00:29:58,710
+وكانت أنت أخبار تقريبا كل ساعة أو كل نص ساعة
+
+436
+00:29:58,710 --> 00:30:03,030
+أحيانا فكانت كتير محطة شهيرة منتقلة وولاية في
+
+437
+00:30:03,030 --> 00:30:07,370
+فرنسا أو أمارة في فرنسا عندها استقلال شبيه ذاتي
+
+438
+00:30:07,370 --> 00:30:13,320
+عندهم اظن حكمفدرالي بينهم وبين فرنسا فكانت يعني
+
+439
+00:30:13,320 --> 00:30:16,100
+محطة عربيه بس كانت تبث من هناك يعني عربي اللي
+
+440
+00:30:16,100 --> 00:30:18,640
+بيحكوا يعني بالعربي مش بالفرنسي فكانت مشهورة جدا
+
+441
+00:30:18,640 --> 00:30:23,100
+فالواحد كان هذه المحطة كانت كتير واضحة و تبث و و
+
+442
+00:30:23,100 --> 00:30:28,220
+الراديوهات كانت كتير تنحط عليها وانهم هذا بجيس
+
+443
+00:30:28,220 --> 00:30:31,580
+الجودة يعني مش معنين فيها the sharpness of the
+
+444
+00:30:31,580 --> 00:30:35,160
+curveis measured by a factor known as the quality
+
+445
+00:30:35,160 --> 00:30:38,820
+factor Q بيسموها Q بيسموها Omega Note على Delta
+
+446
+00:30:38,820 --> 00:30:43,160
+Omega هذا كل هذه مجلة كل ما هذه إيش صار فيها زادت
+
+447
+00:30:43,160 --> 00:30:48,020
+فكل ما العرض تبح قل نقول عن في عندي معامل جودة
+
+448
+00:30:48,020 --> 00:30:51,060
+عالي جداهذا المعامل الجودال احنا عملنا دعوة فيه
+
+449
+00:30:51,060 --> 00:30:55,300
+برضه وشغلات هندسية وشغلات تقانية الشيء هذه بقى سهل
+
+450
+00:30:55,300 --> 00:30:59,060
+الماكسيما نجيبه من النص هذا الماكسيما من النص جيس
+
+451
+00:30:59,060 --> 00:31:02,560
+العرض هذا هو delta omega طبعا هذه مالواش وحدات
+
+452
+00:31:02,560 --> 00:31:05,440
+شباب لان هذه frequency وهذه frequency وبالتالي
+
+453
+00:31:05,440 --> 00:31:08,980
+مالواش وحدات بس هذه مجرد ال quality factor عشان
+
+454
+00:31:08,980 --> 00:31:13,040
+فيه ملوى مرت عليكم بعد كده تكون له أصل في الكتب
+
+455
+00:31:14,300 --> 00:31:17,340
+بذاته omega is the width of the resonant power
+
+456
+00:31:17,340 --> 00:31:21,140
+curve at half maximum and given by برضه هذا ممكن
+
+457
+00:31:21,140 --> 00:31:26,060
+نشتقه من رياضيات مش مطالبين باشتقاقه وهذه قيمته
+
+458
+00:31:26,060 --> 00:31:29,440
+برضه مش مطالبين فيها القيمة تبعتها يعني احنا قعدنا
+
+459
+00:31:29,440 --> 00:31:31,820
+نشوف ايش المطالبين فيه في ال resonance لأن ال
+
+460
+00:31:31,820 --> 00:31:35,500
+resonance مر علينا عدة مرات فلازم احنا ندي الخلاصة
+
+461
+00:31:35,500 --> 00:31:40,300
+تبعته هاي ال example شوف ايش المطلوب فقط نقول in a
+
+462
+00:31:40,300 --> 00:31:43,040
+series RLC circuit
+
+463
+00:31:51,710 --> 00:31:57,890
+ماذا إذا قيمة C للطاقة هي أكتر؟
+
+464
+00:32:05,230 --> 00:32:08,770
+يعني بتكون maximum at resonance .. at resonance
+
+465
+00:32:08,770 --> 00:32:10,790
+يعني أميجا بتسوي أميجا نوت .. هي المعلومة اللي
+
+466
+00:32:10,790 --> 00:32:14,890
+بدنا إياها .. لإن لو عرفت أنا أميجا اللي هي هاجسات
+
+467
+00:32:14,890 --> 00:32:17,850
+أميجا نوت و أميجا نوت أنا بعرف واحد على جذر ال IFC
+
+468
+00:32:17,850 --> 00:32:22,870
+طلع الجواب .. فبقولي solutionThe maximum current
+
+469
+00:32:22,870 --> 00:32:27,130
+is attained when omega equals omega naught
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d7913ce69774ebd77dd691451573ab75920ced6d
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/cqn6278MXnQ.srt
@@ -0,0 +1,1745 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,020 --> 00:00:13,440
+بسم الله الرحمن الرحيم، سأكمل ما تبقى من هذا ال
+
+3
+00:00:13,440 --> 00:00:18,380
+charter. بدأنا احنا capacitors with dielectric 
+
+4
+00:00:18,380 --> 00:00:23,020
+واتفقنا محصلة الكلام اللي اتفقنا عليه أن وجود ال
+
+5
+00:00:23,020 --> 00:00:27,360
+dielectric جوا ال capacitor بيزيد السعة بمقدار 
+
+6
+00:00:27,360 --> 00:00:31,260
+معين، هذا المقدار سمّيته ال dielectric constant.
+
+7
+00:00:31,260 --> 00:00:35,540
+kappa، واتفقنا أن kappa تختلف من مادة لمادة. لفرق
+
+8
+00:00:35,540 --> 00:00:43,080
+بتساوي واحد، وهو أقل قيمة، بعد كده كل مادة لها قيمة
+
+9
+00:00:43,080 --> 00:00:47,780
+معينة. C بتساوي kappa في C not. C with dielectric و C 
+
+10
+00:00:47,780 --> 00:00:51,460
+not without dielectric. يعني كل حاجة not من اليوم
+
+11
+00:00:51,460 --> 00:00:56,020
+اللي طالع هيكون حسب الفرق، وبدون ال not بتكون حسب
+
+12
+00:00:56,020 --> 00:01:00,630
+المادة اللي معطاة. وهذه المواد اللي اتفقنا عليها كل
+
+13
+00:01:00,630 --> 00:01:03,430
+واحدة، وهذه أصلًا معطاة إليكم، وهتواجهكم في كل 
+
+14
+00:01:03,430 --> 00:01:06,710
+الأسئلة، موجودة في كل الكتب، وموجودة في كل المواقع
+
+15
+00:01:06,710 --> 00:01:09,990
+الإنترنت، بس اكتب أنت كلمة dielectric في أي مادة
+
+16
+00:01:09,990 --> 00:01:13,070
+بيجيب لك قيمة ال dielectric. ما الناس محافظها ولا 
+
+17
+00:01:13,070 --> 00:01:16,270
+حاجة، لأن هتواجهنا طبعًا، واضح شباب أن هذا
+
+18
+00:01:16,270 --> 00:01:22,290
+القانون، أن kappa لها وحدات؟ حد ما جرب وحدّها فرد
+
+19
+00:01:22,290 --> 00:01:27,090
+وهادي فرد، أفراد مافيش وحدة. فـ kappa مالهاش وحدة، عبارة
+
+20
+00:01:27,090 --> 00:01:30,050
+عن رقم بلا وحدات، عشان كده أنتم ملاحظين هنا مافيش 
+
+21
+00:01:30,050 --> 00:01:32,930
+وحدة. هادي فورم عالمية، لكن هنا مافيش أي وحدة، لأن
+
+22
+00:01:32,930 --> 00:01:37,250
+kappa is a numerical value بتعتمد على أن هو المادة
+
+23
+00:01:38,360 --> 00:01:42,440
+وشرحنا إيش اللي خلّى السعة تزيد. اتفقنا وجود
+
+24
+00:01:42,440 --> 00:01:49,060
+المادة العازلة بيخلّيها polarized، تترتب، وانتوا
+
+25
+00:01:49,060 --> 00:01:52,880
+ذاكرين فيه تشابه يا شباب ما بين ال polarization و
+
+26
+00:01:52,880 --> 00:01:56,740
+ال magnetization، أنه أنا كيف المادة بخليها مغناطيس 
+
+27
+00:01:56,740 --> 00:02:01,660
+بحطها في مجال مغناطيسي ولا لأ؟ تتصفط في بعض المواد
+
+28
+00:02:01,660 --> 00:02:06,060
+لما أجيب المؤثر، بترجع تتخربش، وفي بعض المواد لما
+
+29
+00:02:06,060 --> 00:02:09,960
+أجيب المؤثر بتظلها عاجلة بتظلها مصفطة. هذه المواد
+
+30
+00:02:09,960 --> 00:02:12,560
+اللي بتظلها مصفطة هتكون تسمّيها ferromagnetic
+
+31
+00:02:12,560 --> 00:02:16,280
+materials، عشان كده بتظلها مغناطيس، لكن المغناطيس
+
+32
+00:02:16,280 --> 00:02:19,620
+الكهربائي، قطب الكهرباء بيصير مغناطيس، ببطّل فيه 
+
+33
+00:02:19,620 --> 00:02:22,840
+مغناطيس. إذا في بعض المواد زي هذه، احنا لما عملنا
+
+34
+00:02:22,840 --> 00:02:28,410
+هيك شباب يومها بدي أنا هادي جيت هادي كانت أفشة، و
+
+35
+00:02:28,410 --> 00:02:31,550
+جيت هنا و اترتبّت، لو جيت هادي بعد ما اترتبّت عاوز
+
+36
+00:02:31,550 --> 00:02:35,470
+بتطلعها إيش بيصير فيها؟ بتعود تصير تتخربش، تصير 
+
+37
+00:02:35,470 --> 00:02:39,130
+تتبقى polarized. إذا هي polarized بفعل مؤثر
+
+38
+00:02:39,130 --> 00:02:42,630
+خارجي، وهو المجال الكهربائي جاي من المؤثر الخارجي
+
+39
+00:02:42,630 --> 00:02:46,330
+بيرجعوا يتقاتلوا ال people جوا، كل واحد بيروح على 
+
+40
+00:02:46,330 --> 00:02:52,050
+كيفه، لكن بيكونوا مصفطين، ومادّبين بتأثير قوة خارجية.
+
+41
+00:02:52,050 --> 00:02:55,830
+تمام، في ال magnetization لأ في بعض المواد حتى لو جاي
+
+42
+00:02:55,830 --> 00:02:59,590
+المؤثر الخارجي بتظلها مرتبين وهي، بيصير ساعتها 
+
+43
+00:02:59,590 --> 00:03:02,850
+permanent magnet، بيصير مغناطيس دائم، اللي هي ال
+
+44
+00:03:02,850 --> 00:03:05,670
+ferromagnetic materials، بعض المواد زي الحديد كلكم 
+
+45
+00:03:05,670 --> 00:03:08,930
+عارفينها. فبالتالي في تشابه ما بين ال polarization
+
+46
+00:03:08,930 --> 00:03:12,930
+و ال magnetization. polarization إلها دعوة في
+
+47
+00:03:12,930 --> 00:03:16,620
+الكهرباء، و magnetization إلها دعوة في المجال. مهم
+
+48
+00:03:16,620 --> 00:03:20,960
+اتفقنا أن هذا التصفير خلّى في عندي مجال كهربائي
+
+49
+00:03:20,960 --> 00:03:25,140
+يتولد جوا المادة معاكس للمجال الأصلي، وبالتالي عمل
+
+50
+00:03:25,140 --> 00:03:28,680
+reduction in the electric field, and so reduction
+
+51
+00:03:28,680 --> 00:03:32,360
+in the voltage between the capacitors from the 
+
+52
+00:03:32,360 --> 00:03:36,300
+reduction of the voltage. C is increased. تمام.
+
+53
+00:03:36,300 --> 00:03:41,900
+واتفقنا عليها، وصار في عندي ال total E is reduced
+
+54
+00:03:41,900 --> 00:03:47,080
+ومنها ال total V is reduced. طب سي بيساوي Q على V،
+
+55
+00:03:47,080 --> 00:03:51,380
+لما هدى تخس أو تنقص، هدى إيش بيصير فيها بالزيادة؟ وهدى
+
+56
+00:03:51,380 --> 00:03:54,300
+اللي حكيناه احنا اللي بدّناه يعني التفسير. هدى كيف 
+
+57
+00:03:54,300 --> 00:03:59,520
+صار؟ مش مطالبين بتفسيره احنا، بس في النهاية لازم أنا
+
+58
+00:03:59,520 --> 00:04:02,560
+اعرف إيش اللي خلّى السعة تزيد، فإيش اللي خلّى السعة
+
+59
+00:04:02,560 --> 00:04:07,740
+تزيد؟ أنه E زاد، خدست، E reduced، ما زال E reduced
+
+60
+00:04:07,740 --> 00:04:12,720
+إذا V reduced، وبما أنه في علاقة عكسية، V reduced إذا 
+
+61
+00:04:12,720 --> 00:04:18,960
+C increased. تمام. اتفقنا عليها، وهذا حكينا عنه الآن.
+
+62
+00:04:18,960 --> 00:04:23,620
+شفنا مثال طبعًا إيش بيقول؟ بيقول a parallel plate
+
+63
+00:04:23,620 --> 00:04:27,500
+capacitor is charged by a battery of potential 
+
+64
+00:04:27,500 --> 00:04:32,200
+difference V0. أنا شحنتها ببطارية لما تنقلي جهدها
+
+65
+00:04:32,200 --> 00:04:37,380
+إيش بيساوي؟ جهد البطارية، لو ساعتها معروفة بقدر أجيب 
+
+66
+00:04:37,380 --> 00:04:40,960
+الشحنات اللي عليها ولا لأ؟ الشحنات بيساوي ساعتها في
+
+67
+00:04:40,960 --> 00:04:47,520
+فرق الجهد. C0 في V0. بيقول لي هي المكثفة تمام شبكتها
+
+68
+00:04:47,520 --> 00:04:51,800
+بالبطارية، بعد كده إيش بيقول لي؟ ال battery is then
+
+69
+00:04:51,800 --> 00:04:56,200
+removed. بتطير البطارية، وأنا عملت تمثّل بين 
+
+70
+00:04:56,200 --> 00:05:01,380
+البطارية والمصورة. المصورة بتنزل مية فين؟ إناء.
+
+71
+00:05:01,380 --> 00:05:07,000
+البطارية بتدخل مية، بتدخل شحنات صح ولا لا؟ لكن أنا 
+
+72
+00:05:07,000 --> 00:05:12,500
+لو سكّرت المصورة وغيرت الإناء بدل ما هو صغير كبير
+
+73
+00:05:12,500 --> 00:05:18,610
+بتزيد المية. خطّط تحت المصورة بيزيد المي. طب أنا الآن 
+
+74
+00:05:18,610 --> 00:05:22,490
+البطارية بدي أرميها. فين كان يزيد الشحنات؟ بعد كده 
+
+75
+00:05:22,490 --> 00:05:25,430
+زادت السعة ولا نقصت السعة؟ وليه؟ ما يتعمل في ال
+
+76
+00:05:25,430 --> 00:05:30,250
+capacitor؟ من أين تيجي الشحنات؟ إذا البطارية راحت، و
+
+77
+00:05:30,250 --> 00:05:34,610
+كأني سكّرت ميّة الشحنات، جُمّع، مصدر الشحنات بيقول لي the
+
+78
+00:05:34,610 --> 00:05:38,690
+battery is then removed. رميتها، and a dielectric
+
+79
+00:05:38,690 --> 00:05:43,210
+slab of dielectric constant kappa is inserted
+
+80
+00:05:43,210 --> 00:05:46,190
+between the blades of the capacitor I shown. بعد ما
+
+81
+00:05:46,190 --> 00:05:51,940
+جُمّعت البطارية بتجيب مواقع البرنامج الوطنية وتنزلها 
+
+82
+00:05:51,940 --> 00:05:57,480
+وتضعها فيها. إيش صار في السعة؟ زادت؟ إيش صار 
+
+83
+00:05:57,480 --> 00:06:02,220
+في الشحنة؟ ممنوعات تزيد؟ من وين بتيجي؟ احنا قلنا
+
+84
+00:06:02,220 --> 00:06:05,120
+زمان أن ال charge is conserved ولا لا؟ في إمكانية
+
+85
+00:06:05,120 --> 00:06:09,680
+تتولد ال charge لحالها؟ لأ، في مصدر للشحنة إذا كان
+
+86
+00:06:09,680 --> 00:06:13,020
+فيه بطارية موجودة بتزيد الشحنات لأن زادت السعة، صح
+
+87
+00:06:13,020 --> 00:06:16,510
+ولا لا؟ لو البطارية بقى اللي موجودة، وأنا غيرت 
+
+88
+00:06:16,510 --> 00:06:20,610
+القناة أنا أكبر بزيد المي، المي موجودة لكن أنا 
+
+89
+00:06:20,610 --> 00:06:24,930
+سكّرت مصدر الشحنات اللي هي البطارية رميتها. الشحنات 
+
+90
+00:06:24,930 --> 00:06:29,310
+الممنوعة تزيد، السعة هتزيد لأن في ال dielectric
+
+91
+00:06:29,310 --> 00:06:31,830
+material is inserted between the blades of the 
+
+92
+00:06:31,830 --> 00:06:34,390
+capacitor. بيقول find the energy stored in the 
+
+93
+00:06:34,390 --> 00:06:36,590
+capacitor before and after the slab is inserted.
+
+94
+00:06:44,510 --> 00:06:54,990
+خلاص راحت البطارية، هدول الشحنات
+
+95
+00:06:54,990 --> 00:06:58,830
+ما بتتغيروش.
+
+96
+00:07:02,010 --> 00:07:06,170
+ممنوع تغيّر الشحنات. بما أن الطاقة موجودة في
+
+97
+00:07:06,170 --> 00:07:12,630
+الكباسيتر قبل إدخال ال dielectric هي U initial. U
+
+98
+00:07:12,630 --> 00:07:13,870
+نعطيها يعني قبل ما تتغيّر الشحنات. 
+
+99
+00:07:30,460 --> 00:07:39,700
+الآن إذا بدأ أضاف dielectric، أنا أضافت dielectric، أنا
+
+100
+00:07:39,700 --> 00:07:45,810
+أضفت dielectric. صارت U بيساوي Q not تربيع على 2C. ها مش Q
+
+101
+00:07:45,810 --> 00:07:49,710
+تربيع على 2C؟ نفس ال Q not لأن ال Q ما تغيرتش، وهي
+
+102
+00:07:49,710 --> 00:07:52,530
+تلك. السؤال مرات بيجي، السؤال في الامتحان بيقول خلّي
+
+103
+00:07:52,530 --> 00:07:55,390
+البطارية زي ما هي وحط dielectric، إيش اللي بيضلوا 
+
+104
+00:07:55,390 --> 00:08:00,760
+ثابت شباب في هذه الحالة؟ فرق الجهد يبقى ثابت. إذا 
+
+105
+00:08:00,760 --> 00:08:05,340
+البطارية موجودة و V تتغير فهو مربوط في نفس 
+
+106
+00:08:05,340 --> 00:08:05,840
+البطارية.
+
+107
+00:08:29,030 --> 00:08:35,250
+أه مش سي بيساوي kappa في سي نوت؟ اه ده ده إيه ال Q
+
+108
+00:08:35,250 --> 00:08:38,190
+note جبتها من هناك؟ وبعدين سي حطيت كابا سي نوت هذه 
+
+109
+00:08:38,190 --> 00:08:41,770
+ال Q note اللي جبتها من هناك من الأول. فهذه بتطلّعها
+
+110
+00:08:41,770 --> 00:08:46,700
+طبعًا بيساوي Q note على kappa. يعني يو في النهاية جاية أنت
+
+111
+00:08:46,700 --> 00:08:49,420
+تذهب في النهاية لك. طب وراحت حد يوم؟ أنا عندي
+
+112
+00:08:49,420 --> 00:08:52,460
+energy كانت موجودة، لا جيتها راحت. طب أنا بعرف ال
+
+113
+00:08:52,460 --> 00:08:55,800
+energy is conserved. وين راحت؟ بيقول لي هو ال
+
+114
+00:08:55,800 --> 00:08:58,240
+dielectric اللي كنت بتنزل فيه هو ال capacitor بيبقى 
+
+115
+00:08:58,240 --> 00:09:01,540
+دال ساكت؟ لأ، احنا في عندنا خاصية في كل 
+
+116
+00:09:01,540 --> 00:09:06,140
+المخلوقات أنه دائمًا بيقاوم التغيير ولا لأ؟ فهذا
+
+117
+00:09:06,140 --> 00:09:09,540
+قاعد في dielectric اللي بدي يخش عنده يحاول يطرده.
+
+118
+00:09:09,540 --> 00:09:11,980
+لما يحاول يطرده يبدأ الشغل. هذا الشغل اللي بدأ
+
+119
+00:09:11,980 --> 00:09:15,580
+هو لضعف الفرق ما بين ال two energy. تمام؟
+
+120
+00:09:16,610 --> 00:09:20,910
+الاختلاف في الطاقة يمكن أنه يتم تفسيره في عملية
+
+121
+00:09:20,910 --> 00:09:23,570
+الهواتف من خلال الكباسيتر، الشغل يحاول أن يطرد ال dielectric 
+
+122
+00:09:23,570 --> 00:09:27,870
+بقوة عكس هو نازله ويحاول أن يطلعه فوق، وإلى 
+
+123
+00:09:27,870 --> 00:09:32,110
+حسبة طبعًا، في المواد المتقدمة يمكنهم أن يطلعوا
+
+124
+00:09:32,110 --> 00:09:35,850
+ال work ويطلعوا القوة حتى اللي بدلّه الكباسيتر، و
+
+125
+00:09:35,850 --> 00:09:39,010
+نستطيع أن نحسب كم الشغل اللي بدّله الكباسيتر لكن 
+
+126
+00:09:39,010 --> 00:09:42,710
+احنا مش معنيين فيها عشان بس مجرد أن واحد ما يسألش 
+
+127
+00:09:42,710 --> 00:09:45,370
+وين راحت ال energy، وأنا عارف من زمان أن ال energy 
+
+128
+00:09:45,370 --> 00:09:49,100
+is concerned بنقوله ال energy راحت عبارة عن شغل
+
+129
+00:09:49,100 --> 00:09:53,560
+بذله ال capacitor عشان يقاوم دخول ال dielectric 
+
+130
+00:09:53,560 --> 00:09:57,340
+دائمًا هذه شغلة معروفة وأخدتها في المغناطيسية كمان
+
+131
+00:09:57,340 --> 00:10:00,820
+أنه لما يكون في عندي حاجة بتنزل لازم يكون في حاجة
+
+132
+00:10:00,820 --> 00:10:07,100
+قاعدة بتطلعها. تمام، نشوف هنا كمان مثال. إذا dielectric
+
+133
+00:10:07,100 --> 00:10:10,160
+لما يدخل في ال capacitor بيزيد سعتّه، هذا هي
+
+134
+00:10:10,160 --> 00:10:13,580
+هل جابت شحنة تتضّل أو ما تتضّلش؟ بعتمد على البطارية 
+
+135
+00:10:13,580 --> 00:10:16,520
+دلت موجودة ولا مش موجودة. إذا البطارية دلت موجودة
+
+136
+00:10:16,520 --> 00:10:20,940
+بقول بيضلّه بيه ثابت، إذا البطارية إنعدم بقول كيو
+
+137
+00:10:20,940 --> 00:10:25,160
+بتتغيرش. واضح شباب؟ هترك كذلك المثال السابق، هنشوف 
+
+138
+00:10:25,160 --> 00:10:29,100
+المثال بيقول a parallel plate capacitor has a 
+
+139
+00:10:29,100 --> 00:10:35,750
+plate separation D and plate area A. تمام، انتشارج
+
+140
+00:10:35,750 --> 00:10:38,930
+metallic slab، metallic slab مش dielectric شباب
+
+141
+00:10:38,930 --> 00:10:43,810
+metallic slab يعني conductor، و thickness E is inserted 
+
+142
+00:10:43,810 --> 00:10:49,870
+midway between the blades. يعني هيك الكبسترا الأصلي 
+
+143
+00:10:49,870 --> 00:10:53,450
+اللي هو الأحمر والأزرق عندي two conductors، منهم مادة 
+
+144
+00:10:53,450 --> 00:10:57,270
+عازلة وحطيت الصفرة هذه صفرة من النحاس شباب مادة 
+
+145
+00:10:57,270 --> 00:11:03,100
+نحاسية. النحاس dielectric ولا conductor؟ conductor. قال لي
+
+146
+00:11:03,100 --> 00:11:06,640
+جدّيش السعة الكلية صارت؟ وإيش عامل هذا النحاس
+
+147
+00:11:06,640 --> 00:11:10,420
+جوا؟ طيب، وإيش علاقته بال dielectric؟ عشان جاملك
+
+148
+00:11:10,420 --> 00:11:14,860
+بعد كده يجيب ال dielectric بيقول لي هذا conductor
+
+149
+00:11:14,860 --> 00:11:19,900
+هذا conductor. طب هذا capacitor وهذا capacitor وبينهم 
+
+150
+00:11:19,900 --> 00:11:23,900
+space صارت عبارة عن two conductors أو two 
+
+151
+00:11:23,900 --> 00:11:30,500
+capacitors موصلين مع بعض على التوالي، صح ولا لأ؟ هل
+
+152
+00:11:30,500 --> 00:11:34,100
+جيت هذا الشباب الفجاني بقدر أقول عبارة عن هيك؟ 
+
+153
+00:11:34,100 --> 00:11:39,260
+والتحتاني عبارة عن هيك؟ الأصفر هذا بقدر أستبدله 
+
+154
+00:11:39,260 --> 00:11:44,100
+بسلك زي هيك؟ اه ممكن دكتور. طب هذا التوصيلة شباب لو
+
+155
+00:11:44,100 --> 00:11:48,980
+عملت هيك وعملت هيك، قلت هي C1 وهي C2، كيف المصريين؟
+
+156
+00:11:48,980 --> 00:11:56,220
+توالي؟ مش توالي عشان هم فوق بعض؟ لأ، هدول توالي. طيب،
+
+157
+00:11:56,220 --> 00:11:58,120
+طبعًا الواحد يقول الموجب الشحنات هدول 
+
+158
+00:12:01,050 --> 00:12:03,930
+بالتأثير. بالتأثير صح؟ إذا هدولتوا ال conductor
+
+159
+00:12:03,930 --> 00:12:06,770
+الموصلين بالضبط زي التوصيل على التوالي اللي أنا 
+
+160
+00:12:06,770 --> 00:12:11,610
+قصدتكم منّهم المرة هذيك كانوا هيك، وقلت ووصلتهم
+
+161
+00:12:11,610 --> 00:12:15,230
+هيك فصار هذي positive، negative. بعدين هذي صارت 
+
+162
+00:12:15,230 --> 00:12:17,790
+negative، positive بالتأثير. هذي نفس العملية، إذا
+
+163
+00:12:17,790 --> 00:12:21,310
+هدولتوا ال capacitors الموصلين على التوالي ولما 
+
+164
+00:12:21,310 --> 00:12:24,610
+أقول على التوالي مش بقول C equivalent بتساوي C1 C2
+
+165
+00:12:24,610 --> 00:12:29,410
+على C1 زائد C2. طب قالت لي إيش هيجيب C1؟ قال لي سهلة، هذا
+
+166
+00:12:29,410 --> 00:12:37,810
+بره ال plate. C1 بيساوي E Note A على D1، وC2 بيساوي E 
+
+167
+00:12:37,810 --> 00:12:42,650
+Note A على D2. في مشكلة ولا لأ؟ مش هذا بره ال plate
+
+168
+00:12:42,650 --> 00:12:49,290
+كما ستعرف؟ هل A لهذا و A لهذا نفس ال A؟ طلع عليها 
+
+169
+00:12:49,290 --> 00:12:54,810
+نفس ال A. طب هل D1 و D2 هي نفسها D هذي؟ كيف بيجيب 
+
+170
+00:12:54,810 --> 00:13:04,780
+D؟ نص ال D، نقص إيه؟ نص ال D، نقص إيه؟ نص ال D، نقص
+
+171
+00
+
+201
+00:15:50,390 --> 00:15:53,490
+لحاله لأن هو .. لكن لما كان ضايق electric بيقول
+
+202
+00:15:53,490 --> 00:15:58,270
+يبقى الواقع أن هو هذا وجهه و هذا وجهه بيهم مادة
+
+203
+00:15:58,270 --> 00:16:02,670
+عازلة لو كانت كفاصل ثالث بيصيروا ثلاثة لو كانت
+
+204
+00:16:02,670 --> 00:16:06,870
+مادة عازلة و كيف متواصلين على التوازي نفس القضية
+
+205
+00:16:06,870 --> 00:16:14,070
+هاي مثال أبيله فيه و وين الـ polarization ذاكر لما 
+
+206
+00:16:14,070 --> 00:16:16,410
+جيبنا في النص خلينا على أطراف بيصيروا كأنه فيه
+
+207
+00:16:16,410 --> 00:16:19,510
+شحنات من جهات مش من التأثير الآن من الـ
+
+208
+00:16:19,510 --> 00:16:22,550
+polarization الـ polarization بيصير في شحنات في الـ
+
+209
+00:16:22,550 --> 00:16:27,420
+conductor بيصير من التأثير بيشوف المثبطات هذا مسهل
+
+210
+00:16:27,420 --> 00:16:31,180
+أكثر بيقول إن عبارة عن الـ blade capacitor has a
+
+211
+00:16:31,180 --> 00:16:36,750
+blade separation D and a capacitance C0 in the
+
+212
+00:16:36,750 --> 00:16:39,550
+absence of the dielectric بيقول بدون الخضرة سعته
+
+213
+00:16:39,550 --> 00:16:43,950
+C0 هذا بدون الخضرة بعد كده what is the capacitance
+
+214
+00:16:43,950 --> 00:16:47,530
+أيه بيحصل للسعة؟ when a slab of dielectric
+
+215
+00:16:47,530 --> 00:16:51,830
+material of dielectric constants kappa is inserted
+
+216
+00:16:51,830 --> 00:16:55,590
+between the blades والthickness جالي ثلث D طبعا
+
+217
+00:16:55,590 --> 00:16:57,670
+أنا ما حطيتهاش فأنا سحبتها في الطرف فوق أيه كام
+
+218
+00:16:57,670 --> 00:17:02,110
+capacitance موجود؟ هنا اثنين الخضرة واحدة والفاضية
+
+219
+00:17:02,110 --> 00:17:07,120
+البيضاء واحدة إذا هدول two capacitors كيف هم وصلين؟ على
+
+220
+00:17:07,120 --> 00:17:11,580
+التوالي طيب كيف بده يجيبهم؟ هل أقدر أقول الأول
+
+221
+00:17:11,580 --> 00:17:16,720
+والتاني لهم نفس الـ A؟ طلع عليهم هو شو هو الـ A؟
+
+222
+00:17:16,720 --> 00:17:22,940
+شباب هاي اللي هم هاي الـ A نفس الـ D؟ لأ واحدة ثلث دي
+
+223
+00:17:22,940 --> 00:17:29,360
+ثانية ثلث ان دي طيب أقدر أقول أن الـ C1 الفجاني
+
+224
+00:17:29,360 --> 00:17:36,940
+بتساوي epsilon note A على D1 اللي هي ثلث الـ D ايش
+
+225
+00:17:36,940 --> 00:17:39,580
+فيه خلال أن هذه ممنوعة تكون epsilon note صراحة
+
+226
+00:17:39,580 --> 00:17:43,920
+بتضربها في الـ kappa لأن هذه epsilon note ايش بتمثل
+
+227
+00:17:43,920 --> 00:17:47,920
+التطبقنا طب هنا فيه هوا؟ لأ الخط راسمليش من المخط
+
+228
+00:17:47,920 --> 00:17:53,980
+كابا طب الثاني بقولأبسلونوت كابا في أبسلونوت
+
+229
+00:17:53,980 --> 00:17:58,100
+هدا
+
+230
+00:17:58,100 --> 00:18:02,160
+بيسموها أبسلونوت كابا في أبسلونوت هي أبسلونوت
+
+231
+00:18:02,160 --> 00:18:07,140
+بيحطوها تمام ستني بيسمو أبسلونوت اي على ثلثين دي
+
+232
+00:18:07,140 --> 00:18:13,240
+خلاص انتهى السؤال بيصير هيك احنا بنقول بالزيادة بمقدار
+
+233
+00:18:13,240 --> 00:18:16,740
+كابا إذا أنا بضربها بكابا بس فكابا في epsilon نوت
+
+234
+00:18:16,740 --> 00:18:19,480
+بيسموها epsilon و الـ epsilon هادي لحالها بيسموها
+
+235
+00:18:19,480 --> 00:18:23,440
+الـ dielectric أو الـ permittivity constant of the
+
+236
+00:18:23,440 --> 00:18:26,600
+material هديك قلناها epsilon نوت الـ permittivity
+
+237
+00:18:26,600 --> 00:18:30,060
+of free space epsilon بيسموها permittivity of the
+
+238
+00:18:30,060 --> 00:18:33,920
+material أي كانت المادة the capacitor is
+
+239
+00:18:33,920 --> 00:18:38,800
+equivalent to two capacitors in series each with
+
+240
+00:18:38,800 --> 00:18:42,400
+تلعب سي نوت أو سي واحد أش عاملة في وجهني كابا في
+
+241
+00:18:42,400 --> 00:18:45,520
+ابسلون نوت علشان أنا حاطينا الكابا يا شباب عشان في
+
+242
+00:18:45,520 --> 00:18:49,200
+ضاء إلكتريك لو في فراغ ما ييجيش الكابا للفراغ ترجع
+
+243
+00:18:49,200 --> 00:18:53,400
+ابسلون نوت طبعا أيه على طول تديه؟ طب و الثانية
+
+244
+00:18:53,400 --> 00:18:58,920
+ابسلون نوت مش كابا لأن الثانية جيبها تحت بواب فراغ
+
+245
+00:18:59,830 --> 00:19:04,930
+ثلثين دي خلاص بقت كده بقول C equivalent واحد على C
+
+246
+00:19:04,930 --> 00:19:08,090
+بيصير واحد على C اثنين بطلعها بديب C equivalent
+
+247
+00:19:08,090 --> 00:19:15,030
+حلو تمام طبعا شباب وقتش بيكون في تواصل على التوازن
+
+248
+00:19:15,030 --> 00:19:17,970
+مرات في وقت سواء في الكتاب عاملكم الرسمة بهذا
+
+249
+00:19:17,970 --> 00:19:22,790
+الشكل شباب جاي الهيكة بسطر لها جبت بقى الهيكة
+
+250
+00:19:22,790 --> 00:19:26,330
+وأنا كيف حاطيته حاطيته هيك المنطقة خدت هيكة عملتها
+
+251
+00:19:30,410 --> 00:19:35,370
+ملىء؟ ما ملاهوش جزء طب هدول كانوا كبستور صاروا؟ برضه
+
+252
+00:19:35,370 --> 00:19:40,490
+اثنين هاي واحد هذا الأخضر وهذا الثاني طيب على
+
+253
+00:19:40,490 --> 00:19:43,870
+التوازي ولا على التوالي؟ على التوازي صاروا كبستين بقى
+
+254
+00:19:43,870 --> 00:19:47,930
+وكانهم هيك واتوصلوا هيك فهمتوا عليها لأن هم نزلوا
+
+255
+00:19:47,930 --> 00:19:55,960
+على بعض طيب ايش هو هذه نفس الـ area؟ نفس الـ area نفس
+
+256
+00:19:55,960 --> 00:19:59,740
+الـ D نفس الـ D بس هنا الـ area بتختلف إذا في النص
+
+257
+00:19:59,740 --> 00:20:02,260
+بقول نص الـ area إذا ثلث بقول ثلث الـ area حسب ايش
+
+258
+00:20:02,260 --> 00:20:05,940
+هو بيقول لي إذا لما يكون هيك مرة أكثر في سؤال في
+
+259
+00:20:05,940 --> 00:20:10,780
+الكتاب هيك عاملهي كبستور واحد هي كبستور اثنين هي كبستور
+
+260
+00:20:10,780 --> 00:20:15,300
+ثلاثة أيه كبستور هدول ثلاثة كده بتحلهم بيقول اثنين
+
+261
+00:20:15,300 --> 00:20:20,280
+على التوازي المجموعة مع هذا توازي هيك بنحله لما هو
+
+262
+00:20:20,280 --> 00:20:22,780
+بتصير عملي التوازي توازي إذا معناته اتضايق
+
+263
+00:20:22,780 --> 00:20:26,320
+electric بيروح بيجسم الـ capacitor لعدد كبستور حسب
+
+264
+00:20:26,320 --> 00:20:29,940
+المار ت خلاله هو باحتلاله لكن لما يكون احتلاله كلها
+
+265
+00:20:29,940 --> 00:20:33,200
+بيقول ما يدلش لكبستور واحد ما فيش غيره وكل ساعته
+
+266
+00:20:33,200 --> 00:20:34,360
+اتغيرت تمام
+
+267
+00:20:44,310 --> 00:20:49,130
+عشان التوالي والتوازي ما خيش حقه حاولت أحل سؤال 27
+
+268
+00:20:49,130 --> 00:20:52,550
+و 28 في الكتاب طبعا شباب احنا امتحاننا يوم الثلاثاء
+
+269
+00:20:52,550 --> 00:20:55,990
+من يوم الثلاثاء احل أعمالها مراجعة المحاضرة في
+
+270
+00:20:55,990 --> 00:21:01,410
+النهاية طالب عشان يجيب علامة الحلوة اللي هو بدوية
+
+271
+00:21:01,410 --> 00:21:03,630
+احنا عارفين امتحاننا مقال مخصص من إلى جزء أين
+
+272
+00:21:03,630 --> 00:21:07,890
+خمسة عشر سؤال multiple choice وفي أربعة سؤال حلّي
+
+273
+00:21:07,890 --> 00:21:10,490
+طبعا الـ quote ذات بتفيدك في multiple choices ولا
+
+274
+00:21:10,490 --> 00:21:16,350
+لأ لكن الحل الأسئلة كيف تتدرب عليها فهو كل chapter
+
+275
+00:21:16,350 --> 00:21:19,370
+بديتكم أسئلة تحلوها إذا حلت ثمانين في المية على
+
+276
+00:21:19,370 --> 00:21:22,870
+الأقل بتضمن أنه تحل كل الأسئلة على الأقل ثمانين
+
+277
+00:21:22,870 --> 00:21:25,570
+يعني في بعض الأسئلة شوية متقدمة ما .. ما ننفعوا
+
+278
+00:21:25,570 --> 00:21:29,410
+فيها مرة طبعا بتتأمل لكن في الآخر لازم الواحد يرجع
+
+279
+00:21:29,410 --> 00:21:32,330
+الأسئلة اللي بديكم إياها في بداية كل chapter وهي
+
+280
+00:21:32,330 --> 00:21:34,950
+جزء من الأسئلة الكلية تبع الكتاب المفروض تحلوها
+
+281
+00:21:34,950 --> 00:21:38,750
+فعلًا وتعرفوا تحلوها على كل أحوال هذا سؤاليين من
+
+282
+00:21:38,750 --> 00:21:41,610
+الأسئلة الـ recommended اللي أنا أديتكم إياها
+
+283
+00:21:41,610 --> 00:21:46,110
+بيقول find the equivalent capacitance between A
+
+284
+00:21:46,110 --> 00:21:51,590
+and B for the combination shown ومديك C1 قداش وC2
+
+285
+00:21:51,590 --> 00:21:56,650
+قداش وC3 قداش السؤال اللي وراه له 28 مش بيقول if
+
+286
+00:21:56,650 --> 00:22:00,350
+DAB  بإساوي 60 volt إذا كان فرق الجهد بين A وB
+
+287
+00:22:00,350 --> 00:22:05,150
+عندي مديكم الرسمة 60 volt for the charge on C3 هي
+
+288
+00:22:05,150 --> 00:22:10,950
+الرسمة شباب هذه a و b وهذه c1 وهذه c3 وهذه c2 وهذه
+
+289
+00:22:10,950 --> 00:22:17,040
+c12 وهذه c2 بيقول لي بين A و B بيديه C equivalent
+
+290
+00:22:17,040 --> 00:22:20,740
+يعني واحد اثنين ثلاثة أربعة خمسة ستة سبعة capacitors
+
+291
+00:22:20,740 --> 00:22:23,800
+هدول سبعة capacitors  دلّا مجصص فيهم لما صيروا
+
+292
+00:22:23,800 --> 00:22:27,340
+كبستور واحد هذا يعتبر C equivalent بعد كده بيقول لي
+
+293
+00:22:27,340 --> 00:22:30,200
+لو كان فرق جهد بين A و B ستين Volt هذا يجديش
+
+294
+00:22:30,200 --> 00:22:33,900
+عليه شحنات طبعا هذا مجرب لكن ممكن يقول لي أوي
+
+295
+00:22:33,900 --> 00:22:37,580
+الشحنات على كل capacitors هذا قداش عليه وهذا قداش
+
+296
+00:22:37,580 --> 00:22:41,420
+عليه وهذا قداش عليه وهذا كذلك نيجي نشوف كيف بدنا
+
+297
+00:22:41,420 --> 00:22:44,100
+نوصل أنا جبت السؤال هذا لأن و مرات كنا نجيبه في
+
+298
+00:22:44,100 --> 00:22:47,800
+امتحان والطالب ما يكونش مركز يطلع على رأسه الجوية
+
+299
+00:22:47,800 --> 00:22:52,000
+الوردية محله على رأسها يعمل هيك فوق بعد برايل و
+
+300
+00:22:52,000 --> 00:22:54,700
+يعمل هيك ويقول برايل ويطلع الجوية الوردية مثل
+
+301
+00:22:54,700 --> 00:22:58,480
+الامتحان حالتها برايل ييجي بعد ما يستمر الدرجة بلا
+
+302
+00:22:58,480 --> 00:23:07,670
+جهزيه برايل هدول؟ لا تعرفين عليه يا شباب؟ هدول برايل
+
+303
+00:23:07,670 --> 00:23:10,590
+اللي بقى .. هادي برايل أيه؟ السنة واحدة واحدة هدول
+
+304
+00:23:10,590 --> 00:23:13,710
+series تطلع عشان .. كيف بدي أحكم عليه أنه توازي و
+
+305
+00:23:13,710 --> 00:23:17,750
+لا مش توازي؟ احنا وجوهنا شرط التوازي تساوي الجهود
+
+306
+00:23:17,750 --> 00:23:21,210
+كيف بدي أحكم عليه أنه هذه الجهود متساوية ولا لأ؟
+
+307
+00:23:21,210 --> 00:23:25,490
+بقول السهلة أنا عندي قاعدة معروفة كل two
+
+308
+00:23:25,490 --> 00:23:29,070
+conductors بينهم سلك جهدهم واحد ولا لأ مظبوط ولا
+
+309
+00:23:29,070 --> 00:23:33,750
+لأ؟ طيب أنا بقول طب هدول جهدهم واحد بقول اه هدا و
+
+310
+00:23:33,750 --> 00:23:37,770
+هدا جهدهم واحد بس هدا وهدا جهدهم واحد لأ كيف أعرف
+
+311
+00:23:37,770 --> 00:23:41,750
+شباب عشان برضه تجرب الـ .. الـ .. الـ resistors؟
+
+312
+00:23:41,750 --> 00:23:44,890
+بلاكي مشي من plate لplate ده طول ما انت ماشي ما مرتش
+
+313
+00:23:44,890 --> 00:23:48,990
+لا على كبستور ولا على بطارية ولا على مقاومة ولا على ملاحظة
+
+314
+00:23:48,990 --> 00:23:51,700
+بيقولوا اللي هو نفس الجهد تقول أنا ماشي من هال
+
+315
+00:23:51,700 --> 00:23:53,920
+لهان ما ريت على حاجة من هدول اللي اشتغلتها و ذكرته
+
+316
+00:23:53,920 --> 00:23:57,280
+اللي هو نفس الجهود فبيلمشولي من هال لهان وما تمرش
+
+317
+00:23:57,280 --> 00:24:00,760
+ولا على حاجة في إمكانية؟ ولا ممكن يعني الناس يمشي
+
+318
+00:24:00,760 --> 00:24:03,760
+في الطريق هذه هي فيه كبستور يمشي في الطريق هذه فيه
+
+319
+00:24:03,760 --> 00:24:06,760
+two capacitors مظبوط ولا لأ إذا ما فيش إمكانية إذا
+
+320
+00:24:06,760 --> 00:24:09,660
+ما أقدرش أقول هدول اللي هو نفس الجهود مزايا هدول
+
+321
+00:24:09,660 --> 00:24:12,420
+اللي هو مش نفس الجهود إذا ما أقدرش أقول V1 بيساوي V2
+
+322
+00:24:12,420 --> 00:24:15,660
+وهذا شرط التوازي إذا هدول مش متواصلة على التوازي
+
+323
+00:24:16,700 --> 00:24:20,260
+لكن طبعا واضح وإن كان غسني بالرأس محطم فوق بعض
+
+324
+00:24:20,260 --> 00:24:23,760
+هدول اللي حاطموا جانب وبعض هي هي لو أنا يبت هذا
+
+325
+00:24:23,760 --> 00:24:25,960
+السلك ما هو أنتو لما تكونوا في المعمل بقولكم
+
+326
+00:24:25,960 --> 00:24:29,000
+أنتو لما تنغسوا توالي توازن بتكون هيك الصبطة رايح
+
+327
+00:24:29,000 --> 00:24:31,980
+هيك بالظبط ولا السلك رايح هيك ومتنم هيك ومين هذا
+
+328
+00:24:31,980 --> 00:24:35,320
+السلك متنم اعملوه هيك بصف .. بصفة عادي هي نفس
+
+329
+00:24:35,320 --> 00:24:39,190
+الصفة هدول توالي وهذا اعملوه هنا يصير هنا هدول
+
+330
+00:24:39,190 --> 00:24:43,330
+توالي شباب لأن طلع لو التيار دخل هنا هو نفسه بيجي
+
+331
+00:24:43,330 --> 00:24:46,230
+هنا ولا لأ؟ هو نفسه إذا أنا هاد الشحنات نفسها
+
+332
+00:24:46,230 --> 00:24:51,810
+تمام؟ إذا معناته كيف بدي أقول؟ بدي أقول هدول كيف؟
+
+333
+00:24:51,810 --> 00:24:57,890
+توالي توالي وهدول؟ توالي برضه توالي طب و هدول؟
+
+334
+00:24:57,890 --> 00:25:01,270
+توالي اتطلعوا يا شباب شرط التوازي أنا ماشي من هنا
+
+335
+00:25:01,270 --> 00:25:05,800
+ل هنا ماشيت ولا ما ماشيتش؟ مريت بحاجة؟ طب ما خلصتش بـ
+
+336
+00:25:05,800 --> 00:25:08,660
+3 إجراء لسه لأن أنا بتعامل مع فاق لغوط طب هين
+
+337
+00:25:08,660 --> 00:25:14,840
+مشيك؟ في مشكلة؟ إذا شرط التوازي تحقق تحت فبقول
+
+338
+00:25:14,840 --> 00:25:23,700
+هدول مالهم براوين حلو series 1 على c1 في c2 اثنين
+
+339
+00:25:23,700 --> 00:25:25,880
+في .. عشرة في اثنين ما تطلعش
+
+340
+00:25:28,890 --> 00:25:37,630
+عشرين عقبعش و هد عشرين عقبعش بطلعها طبعا هد C2 وC2
+
+341
+00:25:37,630 --> 00:25:39,750
+عشرين فبتطلع بهذا الشكل
+
+342
+00:25:43,940 --> 00:25:47,680
+و هذه هيك هذه عشرين عطنعة تلاتة point تلاتة وهذه
+
+343
+00:25:47,680 --> 00:25:52,500
+تلاتة point تلاتة وهذه عشرين عشرة وعشرة على التوازي
+
+344
+00:25:52,500 --> 00:25:56,280
+في مشكلة يا شباب؟ لكن عملت طيب التلاتة اللي فوق
+
+345
+00:25:56,280 --> 00:26:02,460
+كيف مصلين؟ توازي فبقول هدول التلاتة كلهم توازي
+
+346
+00:26:05,050 --> 00:26:13,410
+بعمل هيك توازي يعني أجمعهم 3.3 و 3.3 6.6 و C3 2
+
+347
+00:26:13,410 --> 00:26:23,370
+إلى 8.6 و 21 كيف قلبتين فوق بعض؟ توالي توالي
+
+348
+00:26:23,370 --> 00:26:26,990
+بضربهم فوق بعض وبجسمهم وتطلع الـ end لما عملتم
+
+349
+00:26:26,990 --> 00:26:31,950
+تقريبا إجابة ستة بالـ calculator إذا انجد دي C
+
+350
+00:26:31,950 --> 00:26:36,770
+equivalent ستة مايكروفارات صح ولا لأ؟ C equivalent
+
+351
+00:26:36,770 --> 00:26:40,930
+بتساوي ستة مايكروفارات طبعا أنا في الامتحان هذا مش
+
+352
+00:26:40,930 --> 00:26:44,530
+داخل في الامتحان الأول بكفي على الرأس ما تتعاملوا
+
+353
+00:26:44,530 --> 00:26:47,320
+معاه من دون ما تحلو أي حاجة بكفي إذا الإجابات
+
+354
+00:26:47,320 --> 00:26:50,040
+صحيحة ما بدوبولش ايش القوانين اللي استخدمتوها بس
+
+355
+00:26:50,040 --> 00:26:53,220
+أنا بحب مرات الواحد بيخربط في الحسابات أو عشان أنا
+
+356
+00:26:53,220 --> 00:26:57,000
+بأحسبش عن الحسابات بحب فوق الطالب وبأحلّه زي هذه
+
+357
+00:26:57,000 --> 00:27:00,640
+بيقول لي C equivalent في الـ series بيساوي C1 على
+
+358
+00:27:00,640 --> 00:27:05,260
+C2 على C1 زي C2 بيكتب لي في البرادل C equivalent
+
+359
+00:27:05,260 --> 00:27:09,540
+بيساوى C1 زي C2 بس تعمل ليهم هيك وحطهم ويرمي بحيث
+
+360
+00:27:09,540 --> 00:27:13,960
+أنه لو غلط في الحساب ما قسملوش أشى مضطر لو حد بيخبط
+
+361
+00:27:13,960 --> 00:27:17,820
+مثلًا نفطر الدبل اثنين في ثلاثة أحطها خمسة هذه
+
+362
+00:27:17,820 --> 00:27:21,000
+غلط شاية دائمًا بس اه هو أنا ما تفرجش معايا بس
+
+363
+00:27:21,000 --> 00:27:25,800
+بتتأكد أنه اشتغل على القوانين الصح ما عكسهمش طبعا لو
+
+364
+00:27:25,800 --> 00:27:29,400
+صح الحل وما حطش القوانين ما أدورش عليه .. ما أديش
+
+365
+00:27:29,400 --> 00:27:32,120
+القوانين .. لكن لو حل غلط وهدول القوانين صح برضه
+
+366
+00:27:32,120 --> 00:27:35,720
+حطوا علامة كاملة .. فاهمين؟ طبعا كيف الحل صح .. إن
+
+367
+00:27:35,720 --> 00:27:39,500
+الأصل هدول حكم عليهم صح .. هذا الأصل .. يعني ايش
+
+368
+00:27:39,500 --> 00:
+
+401
+00:29:51,800 --> 00:29:58,300
+تساوي الشحنات .. طب هذه 360 .. فهذه جد إيه؟ 360 ..
+
+402
+00:29:58,300 --> 00:30:02,740
+و هذه بقري 360 .. بقول إذا .. إذا أنا بعرف توالي و
+
+403
+00:30:02,740 --> 00:30:05,900
+توازي و بعرف إيش بأستغل .. بقول هذه 360 .. وهذه
+
+404
+00:30:05,900 --> 00:30:08,600
+360 .. إذا هذه من وين شبهت؟ استغرقتي؟ لأ ..
+
+405
+00:30:08,600 --> 00:30:12,680
+ماعرفهم توالي .. و بعرف شرط التوالي .. هطلقهم ..
+
+406
+00:30:12,680 --> 00:30:16,980
+جالي حلو ..هذه هي نفسها هذه ولا لا؟ كده الشحنات
+
+407
+00:30:16,980 --> 00:30:22,300
+هذه؟ برائل
+
+408
+00:30:22,300 --> 00:30:27,240
+.. أي شرط البرائل؟ تساوي الجهود .. جيب الجهود ..
+
+409
+00:30:27,240 --> 00:30:31,880
+بقدر أجيب الجهود لهذا؟ اه .. بيساوي هذه على هذه ..
+
+410
+00:30:31,880 --> 00:30:35,080
+ولا لا؟ بس الجهود بيساوي كيلو على سي؟ إذا عرفش
+
+411
+00:30:35,080 --> 00:30:38,860
+جهود هذه .. كده جهود هذه؟ و هذه؟ إذا جهود هذه ..
+
+412
+00:30:38,860 --> 00:30:44,210
+اه .. هذه هي نفسها هذه ولا لا؟ نحل السؤال طبعا بقول
+
+413
+00:30:44,210 --> 00:30:49,850
+عشان إنهم طلعوا توازي بدي جود جبت جود طلعت 42 volt
+
+414
+00:30:49,850 --> 00:30:55,950
+جسمت 360 على 8.6 طلعت 42 volt كل زرقة هجيت ويانته
+
+415
+00:30:55,950 --> 00:31:00,630
+كدش هذي طبعا هذي 42 و 42 بس أنا مابديش يهو إنه بدي
+
+416
+00:31:00,630 --> 00:31:05,090
+هو هذي أنا عايز بحرصه على الكتاب يعني طب هذي جود
+
+417
+00:31:05,090 --> 00:31:08,850
+أنا عرفه و ساعتها Z3 أنا عرفت بقدر أجيب شحنتها ولا
+
+418
+00:31:08,850 --> 00:31:16,690
+لأ هذي شحنتها طب هل هذه هي نفسها دي؟ لأ لأ لكن هل
+
+419
+00:31:16,690 --> 00:31:19,970
+ال 42 هي نفسها دي؟ لأ طبعا بضرب 42 في 3.3 بطلع
+
+420
+00:31:19,970 --> 00:31:25,250
+الجواب صح ولا لأ؟ و هذه 42 في 3.3 بطلع الجواب صح؟
+
+421
+00:31:25,250 --> 00:31:30,010
+هنا .. طب هجيت المداجي أقول هذه عارفة جهد .. شحنة
+
+422
+00:31:30,010 --> 00:31:33,170
+تهان بكون نفسها اليهان و نفس اليهان ولا لأ؟ أو
+
+423
+00:31:33,170 --> 00:31:36,750
+انتوازن .. توارث و الشحنة اليهان هي نفسها دي و
+
+424
+00:31:36,750 --> 00:31:40,800
+نفسها اليهان؟ بكون دي بتكل الشحنات إذا عرفت ما هي
+
+425
+00:31:40,800 --> 00:31:46,880
+تلاتة بين تلاتة في 42 ستة
+
+426
+00:31:46,880 --> 00:31:55,860
+اتناش ستة تمانية تلاتة واحد طلعت اتنين واربعين
+
+427
+00:31:55,860 --> 00:32:01,500
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+428
+00:32:01,500 --> 00:32:01,880
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+429
+00:32:01,880 --> 00:32:01,980
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+430
+00:32:01,980 --> 00:32:02,020
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+431
+00:32:02,020 --> 00:32:02,120
+تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة
+
+432
+00:32:02,120 --> 00:32:07,520
+تلاتة تلاتة تلاتة تلات
+
+433
+00:32:11,290 --> 00:32:20,250
+أه 138.6 هدي جدي الشباب برضه 138.6 وهدي أنا عرفته
+
+434
+00:32:20,250 --> 00:32:22,910
+هدي أنا عرفته هدي أنا عرفته هدي كيف بدي أجيب هدي و
+
+435
+00:32:22,910 --> 00:32:29,730
+هدي هدول متواصلة على التوازي بدي أعرف جودهذه هي
+
+436
+00:32:29,730 --> 00:32:33,850
+شحنتها وهي سلطتها تجيب الزغل بيقول هو نفس الجهد
+
+437
+00:32:33,850 --> 00:32:36,270
+اللي هام لو هو نفس الجهد اللي هام بقدر أجيب الشحنة
+
+438
+00:32:36,270 --> 00:32:41,010
+اللي هام و بقدر أجيب الشحنة اللي هاد واضح شباب؟
+
+439
+00:32:41,010 --> 00:32:45,610
+إذا الأسئلة غالبا بتكون بيقول كدي بيجيب C
+
+440
+00:32:45,610 --> 00:32:50,010
+equivalent غالبا بيقولك جيبك يو على أحد المكثفات
+
+441
+00:32:50,010 --> 00:32:52,950
+وما زاد إنك تجيبك يو على أحد المكثفات غالبا بلزمك
+
+442
+00:32:52,950 --> 00:32:56,190
+C equivalent أو الأقل وانت ماشي تعرف التواريه
+
+443
+00:32:56,190 --> 00:32:59,580
+وتعرف التوازي كيف الدكتور في الامتحان ممكن نكتب
+
+444
+00:32:59,580 --> 00:33:02,800
+الخطوات اللي هو اللي .. اللي بدأنا .. لأ ع الرسمة
+
+445
+00:33:02,800 --> 00:33:07,560
+بس ع الرسمة بس ع الرسمة زي منعان أنا مش .. أنت مش
+
+446
+00:33:07,560 --> 00:33:10,360
+أحسن منه ولا أنا أحسن منك زي منعان ماني أعمل زيه
+
+447
+00:33:10,360 --> 00:33:14,180
+تمام؟ يعني أنا كل .. كل حل كان ع الرسمة بدون أحط
+
+448
+00:33:14,180 --> 00:33:17,950
+قوارب ولا حاجة خلاص طبعا إذا أنا مازال حاطط توالي
+
+449
+00:33:17,950 --> 00:33:22,490
+توازي بقدر أتبّعك أهم حاجة يا شباب الحكاية هدول ال
+
+450
+00:33:22,490 --> 00:33:25,170
+series و ال parallel تكون أنت حتمت عليهم صح و
+
+451
+00:33:25,170 --> 00:33:29,490
+تماشي خلاص أنا مقدر أتبّعك في الآخر مديش تحطلي ولا
+
+452
+00:33:29,490 --> 00:33:32,690
+قانون هدول إذا حطيتهم في مخك ومانفتش حاجة ده ماني
+
+453
+00:33:32,690 --> 00:33:36,810
+أشيها و كمان لكن أحطهم أحصلك أمان إلك لإنك لو خربت
+
+454
+00:33:36,810 --> 00:33:41,030
+في الحساب بسامحك تمام؟ لأ صديقي الأمان إليك مش أمان
+
+455
+00:33:41,030 --> 00:33:45,270
+إليك أنا حافظهم و بقدر أطبعك للآخر بس احكملي على
+
+456
+00:33:45,270 --> 00:33:53,690
+التوازي و التوازي صح شباب واضح؟ هحكي من A ل B لو
+
+457
+00:33:53,690 --> 00:33:59,050
+ال C2 و ال C2 هاي أنا و واحدة إن هي ال C2 و ال C2
+
+458
+00:33:59,050 --> 00:34:04,370
+البلد هدول؟ طيب و قلنا إن الجمهور هو نفسهم طبع ال
+
+459
+00:34:04,370 --> 00:34:10,210
+C2 جمعناهم على اللي فوق ال C2 ال EAB مالو مش جاعب
+
+460
+00:34:10,210 --> 00:34:16,010
+هدول .. بيزاوش في يورو .. هالجمهد هذي هو نفسه
+
+461
+00:34:16,010 --> 00:34:20,950
+هالجمهد؟ مجموح .. مجموح ما هو نفسه ال EAB؟ هدور
+
+462
+00:34:20,950 --> 00:34:28,230
+تاني من جمهد مجموح هم EAB؟ مجموح
+
+463
+00:34:28,230 --> 00:34:32,490
+هدول .. جمهد ستين .. يعني جمهد هد و جمهد هد ..
+
+464
+00:34:32,490 --> 00:34:38,900
+وقولك هد مديش جهده .. و أنا مغمّططمن طعش .. طمن
+
+465
+00:34:38,900 --> 00:34:44,620
+طعش .. طمن
+
+466
+00:34:44,620 --> 00:34:54,580
+طعش .. طمن طعش .. طمن طعش .. طمن طعش .. طمن طعش
+
+467
+00:34:54,580 --> 00:34:58,060
+.. طمن طعش .. طمن طعش ..
+
+468
+00:35:01,850 --> 00:35:06,390
+والثاني هو Gold لأن هذه كيلو أربعين طب أطلعلها
+
+469
+00:35:06,390 --> 00:35:12,230
+فإذا كانت 18 جيه ده أعرفها لدرجة سحنتها أعرفها طب
+
+470
+00:35:12,230 --> 00:35:19,030
+هذي كده؟ 18 قطعا خي 18 بول كم يوم يوم أنا بجيبها ..
+
+471
+00:35:19,030 --> 00:35:27,530
+18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول ..
+
+472
+00:35:27,530 --> 00:35:32,150
+18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول ..
+
+473
+00:35:32,150 --> 00:35:32,290
+18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول ..
+
+474
+00:35:32,290 --> 00:35:32,610
+18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول ..
+
+475
+00:35:32,610 --> 00:35:32,650
+18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول ..
+
+476
+00:35:32,650 --> 00:35:36,230
+18 بول .. 18 بول .. 18 بول .. 18 بول .. 18 بول ..
+
+477
+00:35:38,950 --> 00:35:43,250
+في أي كيوب أقدر أجيبها بالمعكوس بقى دي ليش
+
+478
+00:35:43,250 --> 00:35:48,250
+بالمعكوس لأنه غالبا بدين الجهد الكلي عشان كده لازم
+
+479
+00:35:48,250 --> 00:35:52,070
+أروح ل C equivalent في الآخر و أجيب قد أجيبها و
+
+480
+00:35:52,070 --> 00:35:55,190
+أرجع أرجوها لإن هذا أصلا أنا اللي جبته عارف أصلا
+
+481
+00:35:55,190 --> 00:35:59,910
+من وين إجا جا من نتيجة التوصيلة توالي أو توادي
+
+482
+00:36:00,000 --> 00:36:03,760
+عارفها و التوازي شرطه عارفه و التوازي أنا شرطه
+
+483
+00:36:03,760 --> 00:36:07,260
+عارفه بضلني ماشي لما أجيب المطاليب اللي هو
+
+484
+00:36:07,260 --> 00:36:10,560
+بدهوياها فاغلب الأسئلة في الامتحان أو في الكتاب
+
+485
+00:36:10,560 --> 00:36:15,480
+بتكون مديكي جهود بقولك اوجد الشحنات عندك لو طلعته
+
+486
+00:36:15,480 --> 00:36:22,680
+على الشغلات هذه بتكون موجودة تمام هيك بيكون احنا
+
+487
+00:36:22,680 --> 00:36:30,100
+أنجزنا الشابتر الرابع أكوزه هخليه بعد امتحان عشان
+
+488
+00:36:30,100 --> 00:36:33,560
+امتحان طبعا امتحاني لو امتحان كيميا أو calculus
+
+489
+00:36:33,560 --> 00:36:37,200
+بهمنيش طبعا امتحان فيزا في الأخر امتحاننا فبالتالي
+
+490
+00:36:37,200 --> 00:36:41,680
+مش هنبدأ اليوم طبعا ولا بكرا هنبدأ يوم التلاتة إن
+
+491
+00:36:41,680 --> 00:36:44,300
+شاء الله الساعة تمانية في الليل بعد ما تكونوا
+
+492
+00:36:44,300 --> 00:36:46,880
+ارتاحتوا و نسيتوا الامتحان يعني نمتوا و صحيتوا
+
+493
+00:36:46,880 --> 00:36:49,420
+طبعا هو لما نفتح يوم التلاتة في الليل مش بدرورة
+
+494
+00:36:49,420 --> 00:36:53,480
+تامتحنوا يوم التلاتة في الليل يعني معاكم حد هضلني
+
+495
+00:36:53,480 --> 00:37:00,250
+مديكم وجه يوم الأحد الليلة بيخلص الساعة اتناش إلا
+
+496
+00:37:00,250 --> 00:37:09,050
+خمسة غيرت ال quiz مغيرتش أنا المهم مفتوح الليلة
+
+497
+00:37:09,050 --> 00:37:16,230
+اليوم الساعة اتناش إلا خمسة شغل تاني شباب بتاعة
+
+498
+00:37:16,230 --> 00:37:16,970
+المحاضرة دي
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0846ebe5b990b9690b3c544a67d4f6458d8cabdb
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/eWbOXmuvg0Y_postprocess.srt
@@ -0,0 +1,2672 @@
+1
+00:00:09,460 --> 00:00:16,220
+تمام بعد اسم الله الرحمن الرحيم نكمل اللي أخدناه
+
+2
+00:00:16,220 --> 00:00:23,860
+مع بداية هذا الشرطة للعاشر هو انه قاعدة فرضايتشتغل
+
+3
+00:00:23,860 --> 00:00:28,940
+أثناء فتح و أغلاق أي مفتاح دائرة لأن في هذه
+
+4
+00:00:28,940 --> 00:00:33,920
+اللحظات ساعت ما نغلق الدائرة يتغير الطيارة from
+
+5
+00:00:33,920 --> 00:00:38,320
+zero to a specific value so we have increasing in
+
+6
+00:00:38,320 --> 00:00:43,850
+current and increasing in magnetic fluxنفس الظاهرة
+
+7
+00:00:43,850 --> 00:00:48,730
+بتطلع لما نفتح المفتاح لما في هذه الحالة the
+
+8
+00:00:48,730 --> 00:00:52,990
+current and so the magnetic flux decreasing from
+
+9
+00:00:52,990 --> 00:00:58,170
+specific value to zero مزال صار في change of
+
+10
+00:00:58,170 --> 00:01:02,230
+magnetic flux بحسب قانون فردال بيقول في عندي
+
+11
+00:01:02,230 --> 00:01:08,280
+induced electric currentinduce current لز جال هذا
+
+12
+00:01:08,280 --> 00:01:12,120
+ال current دائما بيعمل معاكسة عشان مبدأ ال
+
+13
+00:01:12,120 --> 00:01:17,580
+conservation of energy يظل محفظ ومحافظ عليه الان
+
+14
+00:01:17,580 --> 00:01:21,880
+كتطبيق عشان نشوف بالظبط أيش اللي صار وكيف بتصير
+
+15
+00:01:21,880 --> 00:01:27,440
+عملية التغيير وكيف المعادلات الرياضية بتربط عملية
+
+16
+00:01:27,440 --> 00:01:32,400
+الحث الذاتي الحث الذاتي قولنا أي سلك له حث لكن
+
+17
+00:01:32,400 --> 00:01:37,400
+السلك اللي له حث معقولهو ال coil واتفقنا انه
+
+18
+00:01:37,400 --> 00:01:43,540
+هانمثل اي coil من يوم ما طالع برمز السولينويد هو
+
+19
+00:01:43,540 --> 00:01:49,160
+هذا الا هو ال impactance تبع اي coil او تبع اي
+
+20
+00:01:49,160 --> 00:01:53,000
+impactor اللي واحدة تبعته هنري وهي volt second على
+
+21
+00:01:53,000 --> 00:01:56,320
+امبير في عندي الدائرة اللي انتوا شايفينها انا عندي
+
+22
+00:01:56,320 --> 00:01:59,120
+الدائرة في عندي حالتين الها لا بشبكها مع البطارية
+
+23
+00:01:59,120 --> 00:02:02,880
+لا بفكها من البطارية اذا انا شبكتها عن رقم واحد
+
+24
+00:02:03,590 --> 00:02:07,970
+بيصير البطارية مشبوكة بمرطيار من البطارية الاصل
+
+25
+00:02:07,970 --> 00:02:13,430
+بمرطيار حسب ما أخدنا المرة الماضية هذا الطيار
+
+26
+00:02:13,430 --> 00:02:19,690
+يعاقق للحظات المعينة بفعل وجود الملف بعد كده
+
+27
+00:02:19,690 --> 00:02:25,740
+الطيار يصل إلى قيمته العظمى تماملما اجي المفتاح
+
+28
+00:02:25,740 --> 00:02:28,580
+بعد ما يكون هنا بيقعه ويحطه من هنا بيجي فوق
+
+29
+00:02:28,580 --> 00:02:33,240
+الفطارية الطيار المفروض يكون لزيرو يروح برضه ذهابه
+
+30
+00:02:33,240 --> 00:02:39,440
+لزيرو بياخد بعض الوقت بفعل ال self inductance اللي
+
+31
+00:02:39,440 --> 00:02:44,940
+موجود في الملف الآن بدنا نشرح معادلات رياضية
+
+32
+00:02:44,940 --> 00:02:48,220
+اتكلمنا هذه الظاهرة بيقول لي
+
+33
+00:02:51,220 --> 00:02:55,700
+consider the RL circuit shown فيها عندي ال RL
+
+34
+00:02:55,700 --> 00:02:59,060
+circuit اللي تشايفينها suppose that the switch is
+
+35
+00:02:59,060 --> 00:03:03,460
+thrown to point one at T equal to zero applying
+
+36
+00:03:03,460 --> 00:03:08,300
+Kirchhoff's loop to the circuit at T at any time
+
+37
+00:03:08,300 --> 00:03:12,360
+بحججت أنا بعد ما أسكره هيك شباب هيك صعب صار في
+
+38
+00:03:12,360 --> 00:03:15,160
+عندي loop مغلقة الآن ولا لأ؟ في عندي loop مغلقة
+
+39
+00:03:15,160 --> 00:03:20,420
+تتكون من أكم عنصربتتكون من العناصر التلاتة بطارية
+
+40
+00:03:20,420 --> 00:03:27,980
+مقاومة وملف كيرتشوف بقول مجموع فروق الجهود بين كل
+
+41
+00:03:27,980 --> 00:03:32,310
+التلاتة العناصر هدول اللي نساوي Zeroفرق الجهد بين
+
+42
+00:03:32,310 --> 00:03:37,830
+طرفي البطارية هي Inf إبسلون فرق الجهد بين طرفي أي
+
+43
+00:03:37,830 --> 00:03:43,330
+مقاومة بتسوي I في R حسب قانون Ohm فرق الجهد بين
+
+44
+00:03:43,330 --> 00:03:48,390
+طرفي أي ملف اللي اتعلمناه من اليوم مطالع أن إبسلون
+
+45
+00:03:48,390 --> 00:03:58,060
+تبعت L بتساوي سالب L Di على Dtاذا هذا هو العنصر
+
+46
+00:03:58,060 --> 00:04:02,260
+الجدي اللي يجي معايا شباب انه فرق الجهد بين طرفي
+
+47
+00:04:02,260 --> 00:04:06,140
+أي ملف يُعطى بالقيمة هذه يالا نشتغل على كده شوف
+
+48
+00:04:06,140 --> 00:04:12,340
+بدي أبجى من هان و أمشي مع قارب الساعة ايش بجانب
+
+49
+00:04:12,340 --> 00:04:18,460
+اللي الأول بطارية معايا ابسلون الطيارة معايا سالب
+
+50
+00:04:18,460 --> 00:04:23,940
+I في ال R بجانب النهار دهايش فرق يحضر؟ بدقولها
+
+51
+00:04:23,940 --> 00:04:27,360
+قيمة وحط زائد او ناقص هو اصلا ياللي ناقص دائما
+
+52
+00:04:27,360 --> 00:04:31,880
+لانه معاكس اصلا تمام؟ ولو اجيت انا بدي اعمل معاملة
+
+53
+00:04:31,880 --> 00:04:35,300
+بطارية هو لما المرة دي حكيت ان هنا في عندى طيار
+
+54
+00:04:35,300 --> 00:04:38,700
+تبع البطارية و هنا طيار تبع الملف وكأنه هنا
+
+55
+00:04:38,700 --> 00:04:42,000
+positive هنا negativeبصير وبالتالي بيكون الانف
+
+56
+00:04:42,000 --> 00:04:44,720
+تبقى على عكس البطارية فلازم يكون سالب بكل أحوال
+
+57
+00:04:44,720 --> 00:04:48,380
+ويحطط السالب حسب قاعدة lens عشان يأكد هذا الشيء ان
+
+58
+00:04:48,380 --> 00:04:51,620
+في عملية المعاكسة دائما فهو المناف دائما معاكس
+
+59
+00:04:51,620 --> 00:04:57,060
+للاصل الحث الذاتي او الحثية الذاتية فبقولي بهذه
+
+60
+00:04:57,060 --> 00:05:01,620
+الحالة لما تيجي انتقبّل قاعدة كيرشوف هتطلع لك هذه
+
+61
+00:05:01,620 --> 00:05:07,280
+المعادلة إبسلون ماينوس آي في ال R ماينوس L DI على
+
+62
+00:05:07,280 --> 00:05:15,110
+DT equal to zero حلو هذه معادلة تفضلية يا شبابمن
+
+63
+00:05:15,110 --> 00:05:18,910
+درجة ايش؟ الأولى المفروض ان المعادلة سهلة الدرجة
+
+64
+00:05:18,910 --> 00:05:22,770
+الأولى سهل حلها لكن برضه بتا شوية شغل خلنا نحلها
+
+65
+00:05:22,770 --> 00:05:25,390
+احنا و اياكم طبعا احنا نحلها بدون مملاعف
+
+66
+00:05:25,390 --> 00:05:29,910
+differential equation وانفلتنا من ال rules تبع حل
+
+67
+00:05:29,910 --> 00:05:32,810
+differential equations بنحلها بطريقة سريسة جدا
+
+68
+00:05:32,810 --> 00:05:37,730
+انقول هذه معادلة بدي اجسم هذه المعادلة على ارض صح
+
+69
+00:05:37,730 --> 00:05:43,690
+ليه؟خلّيني أنحلها هنا بصحيح اللي اقول ابسرن على R
+
+70
+00:05:43,690 --> 00:05:52,830
+minus I minus L على R DI over DT equal to 0 ولا
+
+71
+00:05:52,830 --> 00:05:56,630
+لأ؟ في إشكالية هيك؟ عادي مافيش .. ماناش جعبة طيب
+
+72
+00:05:56,630 --> 00:06:04,910
+بقولي هذا خلّيها X غير شوية variables بقولي لكy
+
+73
+00:06:04,910 --> 00:06:10,350
+على r minus i equal to x x variable اي variable
+
+74
+00:06:10,350 --> 00:06:18,250
+قال فابر طلفي المعادلة هدى y على r constant هدى y
+
+75
+00:06:18,250 --> 00:06:22,950
+على r constant يعنى انت ماشي زمن بتتغير y او r لأ
+
+76
+00:06:22,950 --> 00:06:29,730
+طيب اذا معناته بقدر اقول من هنا ناقص di equal to
+
+77
+00:06:29,730 --> 00:06:30,210
+dx
+
+78
+00:06:32,920 --> 00:06:36,460
+مظبط ولا لأ انا اعتبر ان هذه zero هذه ناقص صار دي
+
+79
+00:06:36,460 --> 00:06:41,020
+اي و هذه صار دي اكس اتفقنا بدل هذه ايش بتحط محلها
+
+80
+00:06:41,020 --> 00:06:50,240
+اكس اذا اكس ناقص L على R ايش هحط بدل دي اي سالب دي
+
+81
+00:06:50,240 --> 00:06:53,900
+اكس مظبط ولا لأ اذا بدل دي اي هحط سالب دي اكس
+
+82
+00:06:58,090 --> 00:07:03,350
+فاكثرة لأ X هذه مش position ها هذي X variable تمام
+
+83
+00:07:03,350 --> 00:07:05,790
+ال X تبعت ال calculus شبهت غير X تبعت ال physics
+
+84
+00:07:05,790 --> 00:07:09,530
+ال X تبعت ال calculus أي حاجة بتتخيلها بتكون هي
+
+85
+00:07:09,530 --> 00:07:13,210
+تمام ممكن تكون زمن ممكن تكون mass ممكن تكون volume
+
+86
+00:07:13,210 --> 00:07:15,790
+ممكن تكون area ممكن تكون energy ممكن تكون power
+
+87
+00:07:15,790 --> 00:07:18,730
+بداكيها بتكون أما ال X تبعت ال physics position
+
+88
+00:07:18,730 --> 00:07:22,010
+وبالتالي دي X على دي key بتكون V لإن هذي X
+
+89
+00:07:22,010 --> 00:07:23,930
+unvariable تمام احكي
+
+90
+00:07:26,480 --> 00:07:32,780
+بالنسبة للتفاضل فهي فاضل الترفيه المعادل فهي فاضل
+
+91
+00:07:32,780 --> 00:07:34,060
+الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل
+
+92
+00:07:34,060 --> 00:07:35,340
+الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل
+
+93
+00:07:35,340 --> 00:07:35,800
+الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل
+
+94
+00:07:35,800 --> 00:07:36,200
+الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل
+
+95
+00:07:36,200 --> 00:07:38,420
+الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل
+
+96
+00:07:38,420 --> 00:07:45,540
+الترفيه المعادل فهي فاضل الترفيه المعادل فهي فاضل
+
+97
+00:07:45,540 --> 00:07:52,760
+الترفيه المعادل فهي فاضل الترفيه
+
+98
+00:07:52,760 --> 00:07:59,960
+المعادل فهي فبتسوي سالب L على R DX دلوقت ارتبته
+
+99
+00:07:59,960 --> 00:08:04,220
+ليه؟ ورتبت المعادلة صحيح ولا لأ؟ مافيش اي اشكالية،
+
+100
+00:08:04,220 --> 00:08:09,960
+قولت X DT بتسوي سالب L على R DX طيب، هذي جيبها هنا
+
+101
+00:08:09,960 --> 00:08:14,440
+و هذول جيبهم هنا هذي جيبها، يعني جسم المعادلة على
+
+102
+00:08:14,440 --> 00:08:21,500
+X يعني بصي واحد على X، اذا بصي المعادلة DX على X
+
+103
+00:08:23,090 --> 00:08:31,290
+بتساوي سانب R على L DT تمام؟
+
+104
+00:08:31,290 --> 00:08:34,330
+عشان انا عارف اشتغل، هاجيت ماعرف اشتغل هاجيت بديها
+
+105
+00:08:34,330 --> 00:08:42,470
+كامل بكامل تعرفي المعادلة هذه من صفر ل T دائما هذه
+
+106
+00:08:42,470 --> 00:08:50,570
+عند صفر بتكون X Note وهذه X أي Xأيش تكامل DX على X
+
+107
+00:08:50,570 --> 00:08:56,030
+لن ال X من X ل X not لن X على X not صحيح لأ إذا
+
+108
+00:08:56,030 --> 00:09:02,870
+أنا صاحب عندي لن X over X not بالساوي سالب R على L
+
+109
+00:09:02,870 --> 00:09:09,570
+ايش تكامل DT كامده
+
+110
+00:09:09,570 --> 00:09:15,670
+دي بال X بقول X على X not equal E to power minus R
+
+111
+00:09:15,670 --> 00:09:25,960
+على L في ال Tصحيح؟ تمام؟ اذا x equal x naught اتبع
+
+112
+00:09:25,960 --> 00:09:30,900
+ناطس R على L في الـT متفقين ايه يا شباب ولا لأ؟
+
+113
+00:09:30,900 --> 00:09:36,040
+اجعش ليه x؟هو معناه .. هيرجع حاجة تقول اكس نوت على
+
+114
+00:09:36,040 --> 00:09:41,480
+ا ر ماقص I بتساوي .. ايش X note؟ قال ال X note هي
+
+115
+00:09:41,480 --> 00:09:46,720
+قيمة X عن T بتساوي سفر .. صح قال ان T بتساوي سفر
+
+116
+00:09:46,720 --> 00:09:50,440
+.. كان في تيار؟ لأ .. اذا بقدر اقول X note هي اكس
+
+117
+00:09:50,440 --> 00:09:52,980
+نوت على R ولا لأ؟ هي اكس نوت على I .. اذا بدي ال X
+
+118
+00:09:52,980 --> 00:09:57,520
+note بتحط اكس نوت على R .. ايه تبقى؟ ماقص R على LT
+
+119
+00:09:58,610 --> 00:10:05,930
+طيب هيتهادي بتوديها هناك تمام فبتصير I بتساوي Y
+
+120
+00:10:05,930 --> 00:10:15,010
+على R واحد ناقص E طبعا ناقص R على L في ال T هاي
+
+121
+00:10:15,010 --> 00:10:19,070
+الطيار طلع معايا ايش طلع معايا الطيار بيقول الطيار
+
+122
+00:10:19,070 --> 00:10:25,390
+بيتمد على الزمن عن ماله بتغيربيجيش له قيمة ثابتة
+
+123
+00:10:25,390 --> 00:10:29,210
+معينة باعتمد على الزمن طبعا انا هنا مش شريحة كاملة
+
+124
+00:10:29,210 --> 00:10:31,910
+لأنه على اعتبار احنا الاشتقاق اللي هو معادلة
+
+125
+00:10:31,910 --> 00:10:36,710
+تفاضلية مش مطلوب مننا انه نحفظه لأنه دي حال معادلة
+
+126
+00:10:36,710 --> 00:10:40,130
+تفاضلية by chance مرات الحل بيكون سهل اتعامل معه
+
+127
+00:10:40,130 --> 00:10:42,970
+ونفهمه ومرات بيكون زي ما عملنا في ال simple
+
+128
+00:10:42,970 --> 00:10:45,630
+harmonic motion بيكون ال second order differential
+
+129
+00:10:45,630 --> 00:10:49,530
+equation بقول ان هاي الحلوانت راح حالك اتحقق ان هو
+
+130
+00:10:49,530 --> 00:10:52,910
+هذا حل ولا لا على اعتبار انا مابقدرش احل زي simple
+
+131
+00:10:52,910 --> 00:10:58,570
+harmonic motion of sine و cosine تمامهو طبعا هنا
+
+132
+00:10:58,570 --> 00:11:03,530
+ايش عامل بيقول it is not difficult to verify that
+
+133
+00:11:03,530 --> 00:11:06,390
+the solution of the differential equation given in
+
+134
+00:11:06,390 --> 00:11:09,590
+the above is هاي علاقتها يعني هذه هي نفس العلاقة
+
+135
+00:11:09,590 --> 00:11:13,090
+اللي جيبتها دي بس إيش ال tau هنا حطها إلا على R
+
+136
+00:11:13,090 --> 00:11:15,990
+عكس هذه إلا على R عشان بحطها في المقام إلا على R
+
+137
+00:11:15,990 --> 00:11:20,210
+طبعا إيش حطها تاو وبدأها تذكر تاو تبعت الكبسيطر RC
+
+138
+00:11:20,210 --> 00:11:25,450
+قال بعد ما حد .. قال إيش هذه وحدتها انبيل طبعا إيش
+
+139
+00:11:25,450 --> 00:11:29,790
+هذه برضه طيارمظبوط اذا هذه امبير اذا مقولها الجسم
+
+140
+00:11:29,790 --> 00:11:35,670
+منها كل وحدةطبعا إذا هذه T قال لي إذا معناته R على
+
+141
+00:11:35,670 --> 00:11:39,930
+L لازم تكون واحدة على T أو L على R لازم تكون T لما
+
+142
+00:11:39,930 --> 00:11:44,470
+شوف L على R شباب L على R تقول هذه O فاهمينها احنا
+
+143
+00:11:44,470 --> 00:11:48,110
+من أول و إيه ال Henry و ال Henry Volt سكن على
+
+144
+00:11:48,110 --> 00:11:52,630
+أمبير ولا لأ هذه ال Henry Volt سكن على أمبير قاللي
+
+145
+00:11:52,630 --> 00:11:57,190
+هذه شيهية ال O ما هي Volt على أمبير هذه مع هذه و
+
+146
+00:11:57,190 --> 00:12:01,840
+هذه مع هذه طلعت سكن صحيحةإذا جلّي L على R اعتبرها
+
+147
+00:12:01,840 --> 00:12:06,620
+time و هي time لأن في النهاية أي كمية فيزيائية
+
+148
+00:12:06,620 --> 00:12:10,740
+وحدتها second او hour او يوم او شهر معناته الزمن
+
+149
+00:12:10,740 --> 00:12:14,700
+قطعا فهي طلّالي هذه المعادلة طبعا I maximum هنا
+
+150
+00:12:14,700 --> 00:12:19,720
+إيش بتسوي إبسلون على R with I maximum بتسوي إبسلون
+
+151
+00:12:19,720 --> 00:12:22,900
+على R طبعا أنا هذه حالتها لو احنا ماعرفش في ال
+
+152
+00:12:22,900 --> 00:12:28,630
+calculus بسمع جرب أقول كيف بيتأكد أن هذه شبابهي حل
+
+153
+00:12:28,630 --> 00:12:33,630
+هذه المعادلة كيف بدي أتأكد؟ بدي أنا عوّد، مظبوط
+
+154
+00:12:33,630 --> 00:12:36,450
+ولا لأ؟ يعني لو أنا بعشت differential equation و
+
+155
+00:12:36,450 --> 00:12:38,870
+واحد قالك هاي الحل، بقول يلا نشوف هم يصدقونك ولا
+
+156
+00:12:38,870 --> 00:12:39,630
+هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم
+
+157
+00:12:39,630 --> 00:12:40,430
+هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم
+
+158
+00:12:40,430 --> 00:12:44,110
+هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم هم
+
+159
+00:12:44,110 --> 00:12:51,870
+هم هم هم هم هم هم هم هم ه
+
+160
+00:12:53,480 --> 00:12:56,420
+هل بتطلع حال ولا لا؟ احنا حال لا طبعا وبالتالي
+
+161
+00:12:56,420 --> 00:12:59,940
+قدرنا تطلع حال لكن انا هنا في ال .. في الشرايح
+
+162
+00:12:59,940 --> 00:13:03,440
+تبقى ال power point مش حيلها على اعتبار انه احنا
+
+163
+00:13:03,440 --> 00:13:08,100
+مش .. مش معنيين كتير هجد دي I على دي K مين اشتق
+
+164
+00:13:08,100 --> 00:13:11,520
+ليها؟ يلا يا جبرت هذي المعادلة تعرفت تشتقوا ال
+
+165
+00:13:11,520 --> 00:13:18,120
+exponential ولا لا؟ يلا اشتقوا I maximum في واحد
+
+166
+00:13:18,120 --> 00:13:23,020
+في الأول جداش؟I maximum في واحد افتقها Zero Zero
+
+167
+00:13:23,020 --> 00:13:27,340
+Zero التاني I maximum في ال exponential في سلب هنا
+
+168
+00:13:27,340 --> 00:13:34,000
+و بيجيك سلب من هنا راح فبصير I maximum على tau E
+
+169
+00:13:34,000 --> 00:13:38,480
+to power minus T على tau صح شبابيكوا او لا؟ طبعا I
+
+170
+00:13:38,480 --> 00:13:42,240
+maximum احنا بيقولين ايبسلون على R ها دي بيجي لها
+
+171
+00:13:42,240 --> 00:13:49,970
+ايبسلون على Rتاو بتساوي L على R L على R اتباوت
+
+172
+00:13:49,970 --> 00:13:57,770
+ناقص T على تاو نجي نعود بقول اكسلو minus I I
+
+173
+00:13:57,770 --> 00:14:07,680
+maximum plus I maximum اتباوت ناقص T على تاو- L Di
+
+174
+00:14:07,680 --> 00:14:11,440
+على Dt هدى مع هدى راحت و هدى راحت صارت عندى
+
+175
+00:14:11,440 --> 00:14:21,160
+epsilon ايه طب هو ناقص T على Tau تمام هدى احنا
+
+176
+00:14:21,160 --> 00:14:28,720
+غلطنا حاجة لأ في Tau I maximum اه في R I maximum
+
+177
+00:14:28,720 --> 00:14:34,500
+هدى R و هدى R تمام هدى تصبحوا ايه لا بتظهرش الا
+
+178
+00:14:34,500 --> 00:14:41,930
+هيكهذه I مكسما متفقنا Y على A فهذه ضيعت هذه شباب
+
+179
+00:14:44,300 --> 00:14:51,700
+فهي zero صحيحة اذا الحل صحيح اكيد لان I maximum في
+
+180
+00:14:51,700 --> 00:14:55,680
+ال R هي إبسلون و I maximum في ال R هي إبسلون مع
+
+181
+00:14:55,680 --> 00:14:59,480
+هادى بتطير فصحيح معناته الحل في كل أحوال صحيح اما
+
+182
+00:14:59,480 --> 00:15:02,700
+بتحلوا انت من ال zero و بتاخد الحل او بتقول هذا حل
+
+183
+00:15:02,700 --> 00:15:06,640
+أمين عوضت هنا طلعت صحيح عملت verification ان هذا
+
+184
+00:15:06,640 --> 00:15:10,360
+حل احنا في كل أحوال الحل كفاية مش معنيين فيه اما
+
+185
+00:15:10,360 --> 00:15:14,480
+معنى انه نصدق ان هذا حل للمعادلة هذههذه حل
+
+186
+00:15:14,480 --> 00:15:17,400
+المعادلة دي لو انا بدي ارسمها شباب ادى انا بدي
+
+187
+00:15:17,400 --> 00:15:20,380
+ارسمها لو بدي ادى ارسم لو بدي ادى ارسم كده بدي
+
+188
+00:15:20,380 --> 00:15:26,400
+ارسم انت بتساوي سفر جدش قيمة تاية ليش ايه تباور
+
+189
+00:15:26,400 --> 00:15:32,340
+Zero واحد ايه تباور Zero واحد واحد نقص واحد Zero
+
+190
+00:15:32,340 --> 00:15:36,300
+اذا تاية طب بعد زمن طويل ايه تباور سالب من نهاية
+
+191
+00:15:36,300 --> 00:15:39,280
+سفر فبصير I بيساوي I maximum لو بدي ادى ارسمها
+
+192
+00:15:39,280 --> 00:15:45,480
+بتطلع حكمة على بصمةالطيار قد شويه توجه تموصل
+
+193
+00:15:45,480 --> 00:15:49,540
+لنهايته عند
+
+194
+00:15:49,540 --> 00:15:53,960
+T بالثانو صفر الطيار كان صفر و بعد زمن معين يصبح I
+
+195
+00:15:53,960 --> 00:15:57,480
+بالثانو I maximum و I maximum هي epsilon على R
+
+196
+00:15:57,480 --> 00:16:04,800
+القانون ابتدائيتمام and τاو بتساوي L على R بجودة
+
+197
+00:16:04,800 --> 00:16:09,040
+حكيناها in the time constant of the RL circuit
+
+198
+00:16:09,040 --> 00:16:13,440
+والتاو هذا زي ما هناك سمته RC وبتساوي ال time
+
+199
+00:16:13,440 --> 00:16:17,600
+constant of the RC circuit طبعا الملاحظين هناك ال
+
+200
+00:16:17,600 --> 00:16:23,780
+RC ال C و ال L هنا L على R و هناك RC ففي اختلاف
+
+201
+00:16:23,780 --> 00:16:28,800
+شوية بسيط عليهمطيب احنا كما تقول حكينا عن كي
+
+202
+00:16:28,800 --> 00:16:32,460
+بتساوي سفر التيار سفر وعن كي بتساوي من نهاية
+
+203
+00:16:32,460 --> 00:16:36,140
+التيار بيصير maximum واحنا متفقين لأهم من هذا
+
+204
+00:16:36,140 --> 00:16:40,560
+الشيء ان ال inductor او الملف لا يعمل الا لفترة
+
+205
+00:16:40,560 --> 00:16:45,020
+زمنية قصيرة جدا و هي ساعة الإغلاق و ساعة الفتح طب
+
+206
+00:16:45,020 --> 00:16:50,080
+بعد زمن طويل ايش بيصير دور الملف بيصير silicسلك
+
+207
+00:16:50,080 --> 00:16:54,200
+عادي يعني short circuit تمام فبنقول it is clear
+
+208
+00:16:54,200 --> 00:16:58,260
+that ال T بتساوي صفر I بتساوي صفر while as T goes
+
+209
+00:16:58,260 --> 00:17:04,020
+to من النهاية هذه I I بتساوي I maximum I بتساوي I
+
+210
+00:17:04,020 --> 00:17:08,100
+maximum this means that القاعدة اللي هي عكس ال
+
+211
+00:17:08,100 --> 00:17:13,010
+capacitorبتقول the inductor acts as if it were an
+
+212
+00:17:13,010 --> 00:17:17,250
+open circuit at t بيتساوى 0 and acts as if it were
+
+213
+00:17:17,250 --> 00:17:20,150
+a wire with negligible resistance at t goes to ملا
+
+214
+00:17:20,150 --> 00:17:22,870
+نهاية عن t بيبتساوى 0 بيكون open circuit لإن
+
+215
+00:17:22,870 --> 00:17:25,730
+الطيار بيكون 0 والطيار لا يساوي 0 إلا في ال open
+
+216
+00:17:25,730 --> 00:17:30,010
+circuits وبرجع سلك normal wire with negligible
+
+217
+00:17:30,010 --> 00:17:33,650
+resistance لما t goes to ملا نهاية يعني هو سلك
+
+218
+00:17:33,650 --> 00:17:38,470
+نحاسيطول ولا جسر التف ولا كان عدل في النهاية ما
+
+219
+00:17:38,470 --> 00:17:41,370
+زال سلك من النحاس كونبكتر انا بعتبر ارتباطه قديش
+
+220
+00:17:41,370 --> 00:17:46,350
+Zero وبتعامل معاه على هذه الأساس الآن في الدائرة
+
+221
+00:17:47,340 --> 00:17:51,440
+عشان بس نرجع للدائرة الدائرة الآن بقول انت هيك
+
+222
+00:17:51,440 --> 00:17:57,000
+وصرت واستنتى عليه المنطق شباب بيقول الملف مش بال
+
+223
+00:17:57,000 --> 00:18:01,200
+capacitor ال capacitor بيخزن طاقة كهربية والملف
+
+224
+00:18:01,200 --> 00:18:07,060
+بيخزن طاقة مغناطسية ايه لما حفظت عليه بقول الان
+
+225
+00:18:07,060 --> 00:18:11,530
+فيه طاقة جوا مخزنة ولا لافي هنا طاقة مخزنة لما افك
+
+226
+00:18:11,530 --> 00:18:15,470
+هادي و اربط هان الطاقة اللي هان بستفيد منها
+
+227
+00:18:15,470 --> 00:18:20,890
+بترجعليه عشان كده بتلاقي ان في عندك طيار من وين يه
+
+228
+00:18:20,890 --> 00:18:25,410
+الطيار نتيجة ال magnetic energy اللي يخزنته هنحسب
+
+229
+00:18:25,410 --> 00:18:28,330
+كيف خزنته احنا ال magnetic energy و بالظبط كمتها
+
+230
+00:18:28,330 --> 00:18:29,890
+بيقول هنا
+
+231
+00:18:33,560 --> 00:18:37,220
+If the battery is suddenly removed by throwing the
+
+232
+00:18:37,220 --> 00:18:42,040
+switch to point 2 in the circuit and applying
+
+233
+00:18:42,040 --> 00:18:45,340
+Kirchhoff's rule again المعادلة الأولية كانت
+
+234
+00:18:45,340 --> 00:18:51,080
+كالتالي أبسلو نقص I في ال R نقص LDI على DT بالساعة
+
+235
+00:18:51,080 --> 00:18:53,760
+0 ده اللي جيه المفقترية لان ايش بتتوقع يصير
+
+236
+00:18:57,570 --> 00:19:00,390
+تمام؟ طب بتفهم عندك هذه المعادلة سهل بسهل تصير هذه
+
+237
+00:19:00,390 --> 00:19:05,490
+زائد زائد و خلاص تصير عندك المعادلة التالية في
+
+238
+00:19:05,490 --> 00:19:09,930
+الدائرة هذه طيب هذه معادلة برضه differential
+
+239
+00:19:09,930 --> 00:19:12,290
+equation first order بس هذه سهلة لا بدي x ولا بدي
+
+240
+00:19:12,290 --> 00:19:15,810
+y لأنه مافيش عندى الحد تبقى المن homogeneous ال
+
+241
+00:19:15,810 --> 00:19:19,090
+tier حد بيقول هذه سهلة كيف نتعامل معها؟ بقول هذه
+
+242
+00:19:19,090 --> 00:19:21,590
+نتعامل فيها حكاية تالية تصير
+
+243
+00:19:24,050 --> 00:19:31,070
+Di على Dt بسوى سالب I في ال R في مشكلة؟ مافي مشكلة
+
+244
+00:19:31,070 --> 00:19:34,150
+جال يجيب ال I هنا و يضيع و يوضع و يوضع و يوضع و
+
+245
+00:19:34,150 --> 00:19:34,310
+يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و
+
+246
+00:19:34,310 --> 00:19:34,510
+يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و
+
+247
+00:19:34,510 --> 00:19:35,350
+يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و
+
+248
+00:19:35,350 --> 00:19:40,850
+يوضع و
+
+249
+00:19:40,850 --> 00:19:40,870
+يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و يوضع و
+
+250
+00:19:40,870 --> 00:19:42,030
+يوضع و يوضع و يوضع و يوضع و يوضع
+
+251
+00:19:47,980 --> 00:19:50,700
+تي واش تكرر مولي دي اي على اي لان الا اي اذا الا
+
+252
+00:19:50,700 --> 00:19:55,240
+اي بيساوي على طول من هنا بقول اي بيساوي اي نوت
+
+253
+00:19:55,240 --> 00:20:01,380
+اتبع ناقص تي على تاو هاتلعب طيارة على طول بضربة
+
+254
+00:20:01,380 --> 00:20:05,080
+واحدة بدون اي اشكالية طبعا التاو هنا بيساوي L على
+
+255
+00:20:05,080 --> 00:20:10,190
+Rوهذه من صفر ل T وهذه من I not ل I و I not هي ل I
+
+256
+00:20:10,190 --> 00:20:14,270
+maximum مش خضية فهذه معادلة سهلة بس برضه و برضه
+
+257
+00:20:14,270 --> 00:20:18,850
+اشتقاقها انا مش معنى فيها طلعت I بتسوي I maximum E
+
+258
+00:20:18,850 --> 00:20:23,270
+تباول نقص T على T اول هذه exponential عادي كيف
+
+259
+00:20:23,270 --> 00:20:29,150
+نصمتها؟ هذه نصمتها هيك شبكهذه الرسمة I not او I
+
+260
+00:20:29,150 --> 00:20:34,030
+maximum تُصِن بهذا الشكل إذا الطيار كان له قيمة
+
+261
+00:20:34,030 --> 00:20:37,210
+بديه يروح لل zero الطيار كان له قيمة بديه يروح لل
+
+262
+00:20:37,210 --> 00:20:41,530
+zero بس مالروحش لل zero مرة واحدة بروح بيه بطق
+
+263
+00:20:41,530 --> 00:20:46,910
+تمام ال variation هاي اللي بدي نرسم الرسمات الآن
+
+264
+00:20:46,910 --> 00:20:52,730
+ال variation of I versus time are plotted in the
+
+265
+00:20:52,730 --> 00:20:56,210
+figure as shown بيقول لي و لما أسكر مفتاح حقيقة
+
+266
+00:20:56,210 --> 00:21:00,930
+الطيار بيصيرالطيار شويه شويه بزيد لما يصل لقيمته
+
+267
+00:21:00,930 --> 00:21:04,410
+العظمى وحنا حكينا لملافة إيش مهمته يعيق وصول
+
+268
+00:21:04,410 --> 00:21:08,910
+الطيار ل .. وصوله لقيمته النهائية لبعد الوقت هو
+
+269
+00:21:08,910 --> 00:21:12,150
+الطيار هيق قيمته النهائية ماجعش نطة .. نطة واحدة
+
+270
+00:21:12,150 --> 00:21:15,170
+أخدوا شوية وجت عبر المواصلة طبعا الشباب هذا وجت
+
+271
+00:21:15,170 --> 00:21:19,190
+milli second أو micro second مش إنه ساعات ولا حتى
+
+272
+00:21:19,190 --> 00:21:22,450
+seconds هدول غاربة بال micro seconds فبالتالي
+
+273
+00:21:22,450 --> 00:21:28,160
+بياخدوا شوية وجت وبرجع تمام ولمّا ..عطفى بنذرش مرة
+
+274
+00:21:28,160 --> 00:21:31,380
+واحدة بياخدوا شوية واجهة طبعا شوفها ايه يعني تعتبر
+
+275
+00:21:31,380 --> 00:21:34,900
+نعمة لو انت تيجي تمثلها كالتالت انت لما تيجي بدك
+
+276
+00:21:34,900 --> 00:21:37,640
+تتواجه زي تخبر صاحبك ولا اي واحد بتعرفه مصيبة
+
+277
+00:21:37,640 --> 00:21:42,560
+تخبره خبط .. خبط واحدة مش بيصير عنده صدمة وراه
+
+278
+00:21:42,560 --> 00:21:46,460
+ماسيصرا ممكن فتصير تبقى هدله وراه يمين وشمال وشوية
+
+279
+00:21:46,460 --> 00:21:50,100
+شوية بعد ما تديها ممكن تديه الخبر بمصف ثانية تديه
+
+280
+00:21:50,100 --> 00:21:53,080
+الخبر وراك تظهر و تطلع ممكن تحكي له قصة ساعة و
+
+281
+00:21:53,080 --> 00:21:57,060
+بعدين تديه الخبر الخبر ماتغير ايشمظبوط الخبر
+
+282
+00:21:57,060 --> 00:22:02,360
+مضايقش لإيه؟ لأنه دائما الصدمة تتغير قدرات كثيرة
+
+283
+00:22:02,360 --> 00:22:05,700
+في أي حاجة عطب مهل بين أدمين نفس الخبرية في
+
+284
+00:22:05,700 --> 00:22:10,240
+الأجهزة لإن القعنة بتروح وتجيب وكتفت كل الأجهزة
+
+285
+00:22:10,240 --> 00:22:14,300
+بتخاف تخرب لإن بيصير فيه تغييرات سريعة ومفاجئة
+
+286
+00:22:14,300 --> 00:22:20,400
+دائما فهذا الملف بيأمل على تلقى الصدمة شوي شوي
+
+287
+00:22:20,400 --> 00:22:24,380
+عشان مايصير فيه صدمة ويصير فيه choke ويصير فيه ضرر
+
+288
+00:22:24,680 --> 00:22:30,760
+فهذه رحمة من الرحمات الموجودة ومن القدرات تبعها
+
+289
+00:22:30,760 --> 00:22:35,700
+الخالق في الأمور كلها انه التغيير مستشفى باللي
+
+290
+00:22:35,700 --> 00:22:41,620
+يصير بلطف حتى في هذه الأمور موجودة طبعا رحمة تفقيد
+
+291
+00:22:43,020 --> 00:22:45,240
+الأجيزة ممكن تقولها صحيحة، لأن حتى الأجيزة ما
+
+292
+00:22:45,240 --> 00:22:48,080
+يبصروا عندها صدمة، بصروا عندها مستشفى، بيبصروها،
+
+293
+00:22:48,080 --> 00:22:53,080
+يعني سبحان الله ربنا يخلّى كل الأمور فيه مشتركين
+
+294
+00:22:53,080 --> 00:22:56,340
+بسمات معينة، كل الأمور، طبعا كلها مخلوقات، إذا
+
+295
+00:22:56,340 --> 00:22:59,520
+كانت بنا أدمين ولا حيوانات ولا جماد، حتى الجماد،
+
+296
+00:22:59,520 --> 00:23:02,200
+لأن في النهاية الجماد يا إخوان لو تيجي تفكر فيه،
+
+297
+00:23:02,200 --> 00:23:04,900
+نحن بيقول عنه جماد عشان البينموش وشغلات، لكن في
+
+298
+00:23:04,900 --> 00:23:07,620
+النهاية في حركةواحنا متفقين إن كل هالدنيا كلها
+
+299
+00:23:07,620 --> 00:23:11,820
+جاية من كعربية ومن نفسية عشان نتيجة حركة فالحركة
+
+300
+00:23:11,820 --> 00:23:14,680
+موجودة حتى بالجماد اللي بنحكي عنه جماد احنا جواته
+
+301
+00:23:14,680 --> 00:23:19,640
+حركة كاملة لا ترع تمام؟ وبالتالي الحركة موجودة ففي
+
+302
+00:23:19,640 --> 00:23:24,920
+common sense و common properties في كل المخلوقات
+
+303
+00:23:24,920 --> 00:23:29,820
+من ضمن هذه الشغلات وكتير أمور واحد بيعكسها على
+
+304
+00:23:29,820 --> 00:23:32,620
+البلد الأدمين بيلاقيها موجودة في باق المخلوقات
+
+305
+00:23:32,620 --> 00:23:38,220
+فطبعا هذه الشغلات المعروفةبقول as it is clear from
+
+306
+00:23:38,220 --> 00:23:42,960
+figure a graph a the current takes some time to
+
+307
+00:23:42,960 --> 00:23:45,900
+reach its maximum value يبقى ياخد شوية وقت لما يصل
+
+308
+00:23:45,900 --> 00:23:49,860
+ال maximum value while the graph of figure b
+
+309
+00:23:49,860 --> 00:23:52,780
+التحتانى till the current takes some time to reach
+
+310
+00:23:52,780 --> 00:23:56,860
+its zero value لما أفتح ياخد شوية وقت لما يصل ال
+
+311
+00:23:56,860 --> 00:24:02,010
+zero valueIn another word ايش هو .. بنرجع نقول ايه
+
+312
+00:24:02,010 --> 00:24:05,170
+شغل ال inductor؟ بقول the inductor has the effect
+
+313
+00:24:05,170 --> 00:24:09,170
+to hinder the current يعيق التيار .. هندر معاه
+
+314
+00:24:09,170 --> 00:24:12,510
+تيعيق .. to hinder the current from reaching its
+
+315
+00:24:12,510 --> 00:24:16,130
+final value for some time لكن مش لوقت كبير، تبقى
+
+316
+00:24:16,130 --> 00:24:20,050
+sometimeفي الآخر الخبر خبر ما هو بدي يصل يبدي يصل
+
+317
+00:24:20,050 --> 00:24:24,570
+والتيار بدي يصل بدي يصل بس بياخده شوية وقت بعدين
+
+318
+00:24:24,570 --> 00:24:27,790
+بيصل لقيمته مافيش اي مشكلة واحنا متفقين شباب ان ال
+
+319
+00:24:27,790 --> 00:24:31,890
+inductor شغلته الطبيعية الحقيقية الصح في ال
+
+320
+00:24:31,890 --> 00:24:35,410
+alternating current circuits لأنه هناك الملف
+
+321
+00:24:35,410 --> 00:24:39,130
+بتحولش ل silic عمره ما بيخصيص short circuit لأنه
+
+322
+00:24:39,130 --> 00:24:41,730
+هناك مش شغل .. ليش فارش short circuit بقولوا انه
+
+323
+00:24:41,730 --> 00:24:45,750
+ثبات ل flux بطر للشغل في ال alternating current في
+
+324
+00:24:45,750 --> 00:24:50,610
+ثبات ل fluxمافيش ثابت الفقر بالتالي بيضلوا يتغير
+
+325
+00:24:50,610 --> 00:24:55,470
+احنا في الشطر اللي ورا هذا بيكون كله مخصص لدوائر
+
+326
+00:24:55,470 --> 00:24:59,470
+التيار المتردد طيب احنا لان قاعدين ناخد ال اندكتر
+
+327
+00:24:59,470 --> 00:25:05,570
+وقولنا انهالملف بيشتغل ك open circuit أنتي بتساوي
+
+328
+00:25:05,570 --> 00:25:09,310
+سفر و ك short circuit أنتي بتساوي ملا نهاية صحيح
+
+329
+00:25:09,310 --> 00:25:13,170
+ولا لأ هنرجع ناخد ال inductor في دوائر التيار
+
+330
+00:25:13,170 --> 00:25:18,290
+المتردد من يقدر يقولي أنا كيف بدي أعمل مقارنة بين
+
+331
+00:25:18,290 --> 00:25:21,590
+دوائر التيار المتردد و دوائر المستمر بمعنى أخر
+
+332
+00:25:21,590 --> 00:25:25,910
+واكتشف ان اقدر أخل التيار المتردد يصير مستمر ايش
+
+333
+00:25:25,910 --> 00:25:30,340
+ممكن أغير في التيار المتردد عشان أصير مستمريعني
+
+334
+00:25:30,340 --> 00:25:36,040
+تردده لـ frequency ايش خلّيها؟ سيفر ماهيش اي ادعية
+
+335
+00:25:36,040 --> 00:25:39,840
+هو شو الطياب متردد عشان رايح جال لو الطياب رحله
+
+336
+00:25:39,840 --> 00:25:44,150
+بيجي بصير متردد؟بصير DC طب ايش هو اللي بيقيصه و
+
+337
+00:25:44,150 --> 00:25:46,850
+يقراه عريانه؟ هي ال frequency مش ال frequency
+
+338
+00:25:46,850 --> 00:25:50,810
+تعريفه عدد دورات في الثانية الواحدة لو واحد بيعملش
+
+339
+00:25:50,810 --> 00:25:52,870
+دورات، يعني كام دورة بيعمل في الثانية معناته؟
+
+340
+00:25:52,870 --> 00:25:56,090
+Zero، نفرضته بقى Zero، الآن بكرا لما بدنا نعمل
+
+341
+00:25:56,090 --> 00:25:59,610
+correspondence و نعمل مقارة، بنقول Omega، اللي هي
+
+342
+00:25:59,610 --> 00:26:02,330
+ال New، ال frequency، سويا ب Zero، شوف بتطلع معاك
+
+343
+00:26:02,330 --> 00:26:05,610
+نفس القيم، تبعت هذا الشرطة ولا لا؟إذا الطيارة
+
+344
+00:26:05,610 --> 00:26:09,790
+المتردد أنا كرياضيات كمعادلات بخلّيه مستمر إذا
+
+345
+00:26:09,790 --> 00:26:13,850
+Omega تبعته ساوة Zero إذا Omega تبعت الطيارة متردد
+
+346
+00:26:13,850 --> 00:26:18,710
+ساوة صفر وهو أصلا كيف عملية ال filtration تبعته
+
+347
+00:26:18,710 --> 00:26:21,830
+أنا كيف بحوّل الطيارة مستمر الطيارة المتردد لمستمر
+
+348
+00:26:21,830 --> 00:26:26,850
+هي حاجة زي ت بضلني أنا أعمل شغلات بحيث أنه القمة و
+
+349
+00:26:26,850 --> 00:26:29,430
+القمة يجربوا على بعض كتير وبالتالي ال frequency
+
+350
+00:26:29,430 --> 00:26:31,770
+بيقول إلى ال Zero و بصير مستمر
+
+351
+00:26:35,240 --> 00:26:38,720
+الـ value تبعته بيجرب اكتر من دايوت وحط دايوت ولا
+
+352
+00:26:38,720 --> 00:26:41,600
+اتنين ولا تلاتة طبعا اول دايوت بيبني عليك لتحت
+
+353
+00:26:41,600 --> 00:26:45,920
+لإنه الدايوت الوصلة التنائية أخدتها يا شباب احنا
+
+354
+00:26:45,920 --> 00:26:49,140
+بيحكي مصطلحات بيهمش بقى في من انا كام شبك ماخدين
+
+355
+00:26:49,140 --> 00:26:53,920
+هذه الشغلات فالدايوت الوصلة التنائية ميزته انه
+
+356
+00:26:53,920 --> 00:26:56,740
+بدخل باتجاه الماء والتيالة مترددة انا عندي
+
+357
+00:26:56,740 --> 00:26:59,520
+اتجاهينه positive و negative فبيجي الدايوت ال
+
+358
+00:26:59,520 --> 00:27:02,140
+positive بدخله و ال negative كله ممنوع فبتطلع عندي
+
+359
+00:27:02,140 --> 00:27:07,250
+هيك بدل ما هي الدائرةهك بروحي بيساوي بيقول هذه تخش
+
+360
+00:27:07,250 --> 00:27:10,730
+وهذه مانعو تخش بصي صفر بعدين بيقول هذه تخش وهذه
+
+361
+00:27:10,730 --> 00:27:16,170
+مانعو تخش طبعا هنا مشكلة كبيرة صار يضوي ويضوي هنا
+
+362
+00:27:16,170 --> 00:27:19,830
+في الأول كان يضوي ويضوي وفي الثانية هنا زربا وطفا
+
+363
+00:27:19,830 --> 00:27:22,590
+فبروحوا ويوحوا مديموا شغلات تانية بحيث انهم يعملوا
+
+364
+00:27:22,590 --> 00:27:25,610
+هت ويعملوا هت وبعدين يجربوها بحيث انها تكون هك
+
+365
+00:27:25,610 --> 00:27:31,710
+وهذا عمل احنا ارادوا تبعكم شباب او اي مسجل لما انت
+
+366
+00:27:31,710 --> 00:27:36,180
+تدخله علىالـ breeze تبعك بيكون إما فيه transformer
+
+367
+00:27:36,180 --> 00:27:39,240
+موجود فيه نفسه أو جواته هادو إيش مهمته؟ مهمته
+
+368
+00:27:39,240 --> 00:27:43,880
+شغلتين تحويل التيار المتردد إلى تيار مستمر و تقليل
+
+369
+00:27:43,880 --> 00:27:48,260
+الفولتية من ال .. ال 120 غالبا ال 12 volt غالبا
+
+370
+00:27:48,260 --> 00:27:51,840
+بيشتغل زي شحن الجوال بالظبط شحن الجوال هذه الكبيرة
+
+371
+00:27:51,840 --> 00:27:55,100
+هذه جوها transformer والفيش اللي احنا عارفينها
+
+372
+00:27:55,100 --> 00:27:58,220
+الفيش الصغيرة سلكين وفيها الأصبعين بيخشوا على
+
+373
+00:27:58,220 --> 00:28:01,820
+الكعبة و بيضنوا اللي تبقى الجوال بيلاديه كذا كتبة
+
+374
+00:28:02,060 --> 00:28:05,080
+لأن معناته إيه جواته فيه؟ فيه transformer .. فيه
+
+375
+00:28:05,080 --> 00:28:09,320
+transformer بيحول من AC ل DC و بعدين تتطلع أنت ع
+
+376
+00:28:09,320 --> 00:28:12,360
+ال voltage تبعي جوالك بيكون مكتوب بيكون كذا volt
+
+377
+00:28:12,360 --> 00:28:16,380
+.. ده بقى كل واحد بقى .. انا بقول لكوا انا انفطت
+
+378
+00:28:16,380 --> 00:28:19,660
+اسمعوا انا جيت في حد معاه جوال فيه كوه .. و كل كوم
+
+379
+00:28:19,660 --> 00:28:22,560
+يعني بقى .. و ال transformer جاري ولا ما جاري مش
+
+380
+00:28:22,560 --> 00:28:27,210
+خضيع .. تمامجالي عشان احكاية الصدمة اللي حكينا
+
+381
+00:28:27,210 --> 00:28:32,010
+عنها بتعمل مقارنة شباب كيف ال pulse الكهربية كيف
+
+382
+00:28:32,010 --> 00:28:35,610
+بتكون بدون inductance وكيف بتكون بال inductance
+
+383
+00:28:35,610 --> 00:28:39,410
+يعني كيف بتكون عملية وصول التيار الكهربائي لأي
+
+384
+00:28:39,410 --> 00:28:45,580
+جهاز معراهيات الحد و بدون راهيات الحد بيقولي انا
+
+385
+00:28:45,580 --> 00:28:48,860
+هنا هنا طيار بدي اشوف اقيص الطيار مع الزمان انا
+
+386
+00:28:48,860 --> 00:28:53,820
+هنا بدي اسكر مفتاحي او بدي اشغل جهازي وهنا شباب
+
+387
+00:28:53,820 --> 00:28:59,180
+بدي اقص جهازي طبعا تشغيل الجهاز يعني السماح بمور
+
+388
+00:28:59,180 --> 00:29:03,420
+الطيار الكعبائي داخله صحيح ولا لأ؟ بموره اللي اصلا
+
+389
+00:29:03,420 --> 00:29:08,460
+اول ما تشغل .. تشغل الجهاز بصير انك طيار صح ولا
+
+390
+00:29:08,460 --> 00:29:14,160
+لأ؟ بتكون هيك الطيار هيكهذه صدمة تيجي مرة واحدة
+
+391
+00:29:14,160 --> 00:29:20,700
+على طول بال inductor ايش بيصير ال steel smooth هذي
+
+392
+00:29:20,700 --> 00:29:25,580
+بدون .. هذي بدون باهرة الحسن الذاتي بدون ملف تطفئ
+
+393
+00:29:25,580 --> 00:29:27,660
+.. تضوي .. تطفئ .. على طول بيصير بال steel الضوء
+
+394
+00:29:27,660 --> 00:29:33,260
+عندك تطفئ .. تطفئ .. كمان؟ بوجود الحسن ايش بيصير
+
+395
+00:29:33,260 --> 00:29:36,480
+معاك؟ بيقول حسب التجارب .. يقولك التجارب تمشيش هيك
+
+396
+00:29:36,480 --> 00:29:40,100
+.. تجارب اعمل ليه؟ تعمل ليه؟ و هنا التجارب يمشي
+
+397
+00:29:40,100 --> 00:29:46,240
+ليه؟ فبتكونمع اطلاع كيف صار الطيار اخلي شوية ..
+
+398
+00:29:46,240 --> 00:29:50,420
+مابتصفت واحدة شوية شوية بعدين وصل في النهاية وصل و
+
+399
+00:29:50,420 --> 00:29:56,750
+لا موصل ايش وصل و هنا بده اطفي اطفيمدكار سفر على
+
+400
+00:29:56,750 --> 00:30:00,270
+طول اخد وجهة لما سفر وطبعا انتوا بتلاحظوها كتير في
+
+401
+00:30:00,270 --> 00:30:04,070
+الأجهزة لإن أول ما تطفى فيه طبعا لحظات مرات
+
+402
+00:30:04,070 --> 00:30:08,090
+وحالتها انتبه بإنه لسه فيه شوية كهربا مظلومة لأ
+
+403
+00:30:08,090 --> 00:30:11,730
+وبالتالي ما هي عشان الزمن قصير جدا مش دايما بتكون
+
+404
+00:30:11,730 --> 00:30:18,070
+ملاحظة تمام؟ لإن فبالتالي هذا الأزراج الصدمة خفت
+
+405
+00:30:18,070 --> 00:30:22,610
+والأحمر الصدمة بتيجي فجة واحدة بيقول the red line
+
+406
+00:30:22,610 --> 00:30:25,150
+representing I
+
+407
+00:30:29,890 --> 00:30:34,790
+Blue line representing I vs T with self-impactance
+
+408
+00:30:34,790 --> 00:30:38,330
+وعالح الأمور ايش الفرق بينهم طبعا في دوائر الطيارة
+
+409
+00:30:38,330 --> 00:30:43,290
+المستمر بتديني فائدة انه بتحفظ الأجهزة من نتيجة
+
+410
+00:30:43,290 --> 00:30:46,990
+تاخد الصدمة بتحفظها وبالتالي دائما التغير ال
+
+411
+00:30:46,990 --> 00:30:52,530
+smooth له كتير إيجابيات وله كتير نواتج حميدة
+
+412
+00:30:52,530 --> 00:30:58,600
+بالعكس التغير الصادم ال abruptفي ال calculus ال
+
+413
+00:30:58,600 --> 00:31:01,620
+function اللي بيسموه abrupt change بيكون بشع دائما
+
+414
+00:31:01,620 --> 00:31:06,100
+اللي بتغيره السريع بيكون دائما function هيك بشع
+
+415
+00:31:06,100 --> 00:31:09,820
+حتى في منظره وفي التعامل معاه دائما ال abrupt
+
+416
+00:31:09,820 --> 00:31:13,840
+change إله مشاكله لكن ال smooth exchange دائما
+
+417
+00:31:13,840 --> 00:31:16,820
+بيكون التعامل معاه كتير و هنا كان في continuous و
+
+418
+00:31:16,820 --> 00:31:18,500
+discontinuous انتوا عارفين ال discontinuous
+
+419
+00:31:18,500 --> 00:31:22,060
+function إله مشاكله في أمور كتيرة انه integrable و
+
+420
+00:31:22,060 --> 00:31:26,750
+لا مش integrable طبعاهذه مصروحات رياضيات موجودة
+
+421
+00:31:26,750 --> 00:31:30,250
+ويلها إشكالياتها في التعامل بالصورة الإجمالية
+
+422
+00:31:30,250 --> 00:31:35,270
+نشألها المثال بقول consider the circuit shown find
+
+423
+00:31:35,270 --> 00:31:39,910
+the time constants of the circuit بالtime
+
+424
+00:31:39,910 --> 00:31:42,490
+constants هذه ال time constants هي بنجلة قانون هذه
+
+425
+00:31:42,490 --> 00:31:45,570
+أكيد بالساوية بس هي في خطأ اتنين millisecond الحال
+
+426
+00:31:45,570 --> 00:31:49,450
+صح الحال صحFind the time constants of the circuit
+
+427
+00:32:01,550 --> 00:32:05,970
+مابدهش يعني مش مستحيل تمام and compare the
+
+428
+00:32:05,970 --> 00:32:09,250
+potential difference across the resistor with that
+
+429
+00:32:09,250 --> 00:32:12,430
+across the inductor هاي الرسمة شباب بيقولي ها دي
+
+430
+00:32:12,430 --> 00:32:16,070
+الرسمة RL circuit ولا مش RL circuit؟ RL circuit
+
+431
+00:32:16,070 --> 00:32:19,250
+بيقولي بيبقى تسكر مفتاحك سكرنا المفتاح و بعدين
+
+432
+00:32:19,250 --> 00:32:23,450
+نشتغل بيقولي او دي دي ال a ال time constant بيقول
+
+433
+00:32:23,450 --> 00:32:27,220
+L على R كدش L؟تلاتين ميلي هنري تلاتين في عشر او
+
+434
+00:32:27,220 --> 00:32:32,120
+تسالي بتلاتة جدش اه ست هاي اول مطلوب the time
+
+435
+00:32:32,120 --> 00:32:36,300
+constant is given by اخسار على الكالكوليتر مافيشش
+
+436
+00:32:36,300 --> 00:32:40,720
+تلاتين على .. مش هاش كالكوليتر بس بيجيب على كل صحي
+
+437
+00:32:40,720 --> 00:32:45,620
+و يحول تلاتين على ستة خمسة ميلي second طبعا زمان
+
+438
+00:32:45,620 --> 00:32:48,980
+مش هاتين ميلي second فالزمان دي هو خاصي ملي و مراح
+
+439
+00:32:48,980 --> 00:32:53,220
+micro حتى بحسب الدوائر اللي عندى التالت اخر five
+
+440
+00:32:53,220 --> 00:32:58,360
+millisecond مش خبيرةأيش بده؟ بيقولي او دي تيار لما
+
+441
+00:32:58,360 --> 00:33:01,940
+T بيساوي 2 ميلي ثانية طيب بيقولي انا هجيبني
+
+442
+00:33:01,940 --> 00:33:04,980
+القاعدة او القانون اللي تاوي استقباله مش هذا اللي
+
+443
+00:33:04,980 --> 00:33:08,760
+هو I بيساوي I ماكسيما واحد ماكسي تقريبا واحد ماكس
+
+444
+00:33:08,760 --> 00:33:11,920
+T على النار ايش بده؟ بيقولي ال T بيساوي 2 ميلي
+
+445
+00:33:11,920 --> 00:33:15,020
+ثانية انت تحط بحالك T ثلاثة او عشان تساوي ثلاثة
+
+446
+00:33:15,020 --> 00:33:15,820
+بتروح مع بعض
+
+447
+00:33:24,330 --> 00:33:28,390
+مقم التاني برضه تقدر مباشر انه تجيب المعادلة و
+
+448
+00:33:28,390 --> 00:33:32,670
+تعويب فبالتالي ال current is given by I maximum
+
+449
+00:33:32,670 --> 00:33:37,690
+one minus E to power minus T على تاو تي equal two
+
+450
+00:33:37,690 --> 00:33:40,950
+milliseconds تاو طلعناها خمسة ملي ساكند فطلعت معاه
+
+451
+00:33:40,950 --> 00:33:45,440
+تيار اوبون سيكسيس امبيرمافيش اي مشكلة، يعني انت
+
+452
+00:33:45,440 --> 00:33:49,120
+بدك أرقام عشان تعوض، ماتكاش رموز، الرموز نسهلك يا
+
+453
+00:33:49,120 --> 00:33:52,920
+ابني، طبعا، وإذا طيعت ال calculator وكنت مش جايبها
+
+454
+00:33:52,920 --> 00:33:55,280
+معاك في الامتحان، تقعد رابع ساعة ماتدورتش، حاطيه
+
+455
+00:33:55,280 --> 00:33:58,160
+ال calculator، لأ هيك بالناس إيه ال calculator ولا
+
+456
+00:33:58,160 --> 00:34:01,960
+ضياحة ولا حاجة، طبعا، تشوف المفروض التاني الشباب،
+
+457
+00:34:01,960 --> 00:34:05,980
+المفروض التاني بيقولكقارنني بين الـ Potential
+
+458
+00:34:05,980 --> 00:34:08,840
+Difference Across R والـ Potential Difference
+
+459
+00:34:08,840 --> 00:34:13,940
+Across L المنطق شباب بحسب كيرتشوف ان لو جمعت هادي
+
+460
+00:34:13,940 --> 00:34:18,600
+و جمعت هادي بيطلع هادي مش هيك بيقول قلني طب يا رفي
+
+461
+00:34:18,600 --> 00:34:23,900
+اجمع هادي و اجمع هادي هادي معروفة I في الـR هادي
+
+462
+00:34:23,900 --> 00:34:29,740
+الـDI على DT هي مشكلتها هادي مشكلتك اصبعلك بكتفاضي
+
+463
+00:34:29,740 --> 00:34:36,320
+عشان تطلع لإنه DI على DT طب وين هي I؟متهيأر مش هاد
+
+464
+00:34:36,320 --> 00:34:40,480
+AI فاملها جيب هادي و جيب هادي و جمّحهم إذا فلقت
+
+465
+00:34:40,480 --> 00:34:46,880
+معاك إبسلون معناته كلامك صح المنطق منطق بيقولي
+
+466
+00:34:46,880 --> 00:34:50,460
+the potential difference across the resistor بيقول
+
+467
+00:34:50,460 --> 00:34:55,140
+V سو I في ال R، في إشكالية؟ I، I وضت محله، I وضت
+
+468
+00:34:55,140 --> 00:34:59,600
+محله، إدارة عن I maximum I not انا مانعت بحط I not
+
+469
+00:34:59,600 --> 00:35:02,500
+و I maximum لإن هو I maximum هي I not، I خمتها
+
+470
+00:35:02,500 --> 00:35:07,120
+عالتي بالسوء Zeroصفّع شجّع هذه أمنّا فيها خلّصنا
+
+471
+00:35:07,120 --> 00:35:10,600
+منها بيقول لي the potential difference across the
+
+472
+00:35:10,600 --> 00:35:14,080
+n vector is given by ناقص LDI على DT طبعا انا و
+
+473
+00:35:14,080 --> 00:35:19,240
+اياكم اشتقتها شباب لما نقول هذه اشتقها بيصير سالب
+
+474
+00:35:19,240 --> 00:35:24,540
+مع سالب راحة فبيصير I not على Tau E تبوّر ناقص T
+
+475
+00:35:24,540 --> 00:35:30,360
+على Tau مظبوطة او لا؟ هي اشتقاقها لما جيت قولتش هي
+
+476
+00:35:30,360 --> 00:35:37,170
+Tau هي مش L على RL على R المعرّعة طلّيت هادي قال
+
+477
+00:35:37,170 --> 00:35:43,710
+هاي VL و هاي VR جمّحهم اتطلّعوا هادي مع هادي و
+
+478
+00:35:43,710 --> 00:35:48,190
+هادي اخوان ولا مش اخوان جمّحهم على سنة بواحدة موجب
+
+479
+00:35:48,190 --> 00:35:52,210
+اش بيضل بيضل I NOT في ال R في ال one I NOT في ال R
+
+480
+00:35:52,210 --> 00:35:57,350
+هي إبسلون هي إبسلون إذا صحيح الكلام بقولّي الآن VR
+
+481
+00:35:57,350 --> 00:36:01,190
+زي VL طلّيت I NOT في ال R وهي إبسلون بتعرض ال 12 V
+
+482
+00:36:02,010 --> 00:36:07,010
+إذن كيرشوف و كأني أنا جاية بتحقق من قانون كيرشوف
+
+483
+00:36:07,010 --> 00:36:12,370
+كمان مرة انه الفرق الجوهر تبع البطارية راح جزء منه
+
+484
+00:36:12,370 --> 00:36:18,370
+على المقارنة وجزء منه راح على الال تمام بدي أحل
+
+485
+00:36:18,370 --> 00:36:25,090
+problem الآن سؤال problem 23 بدي أحمل example عشان
+
+486
+00:36:26,540 --> 00:36:29,320
+أغلب الأسئلة مرة واحدة نحاول نعمل ا test عشان
+
+487
+00:36:29,320 --> 00:36:32,780
+نغلبكوش في الحسابات نقول ال T بالساوية 0 و ال T
+
+488
+00:36:32,780 --> 00:36:35,200
+بالساوية من النهاية اتعامل معاهك طبعا ال T
+
+489
+00:36:35,200 --> 00:36:38,380
+بالساوية 0 open circuit ال T بالساوية من النهاية
+
+490
+00:36:38,380 --> 00:36:42,140
+short circuit اتعامل معاه هذا الأساس فيبقى السؤال
+
+491
+00:36:42,140 --> 00:36:46,740
+problem 23 في أكتر من سؤال في النهاية بيحكي على
+
+492
+00:36:46,740 --> 00:36:49,420
+هذه القاعدة بيقولي the switch in the figure هي
+
+493
+00:36:49,420 --> 00:36:53,910
+دائرةبيقولي هذا الـ switch in the figure is open
+
+494
+00:36:53,910 --> 00:36:57,610
+at T بالثلاث أسفر، هذا كان مفتوح، كان مفتوح، ما
+
+495
+00:36:57,610 --> 00:37:02,570
+زال مفتوح، البطارية مشبوكة، ماجدش تيارات، Zero،
+
+496
+00:37:02,570 --> 00:37:07,390
+مافيش ولا تيارات، بيقولي and then it closed at T
+
+497
+00:37:07,390 --> 00:37:10,370
+equal to zero، سكرته و بعدين أشغل ساعتي، بيقولي
+
+498
+00:37:10,370 --> 00:37:14,030
+find the currents in the circuit that I'm in at T
+
+499
+00:37:14,030 --> 00:37:17,430
+بالثلاث أسفر and a long time after closing the
+
+500
+00:37:17,430 --> 00:37:21,360
+switch، and T بالثلاث و ملا مهيةأيش بيسوي؟ بيقول
+
+501
+00:37:21,360 --> 00:37:25,300
+الـ T بيساوي 0 كذا عامل الملاف Open Circle، يجدش
+
+502
+00:37:25,300 --> 00:37:33,060
+I2؟ I2 0 و I1 و I3 بيسووا بعد، بيسووا 10 على 8
+
+503
+00:37:33,060 --> 00:37:40,420
+صحيح ولا لأ؟ تمامأذا معناته هاي سكّرت مفتاحي زي ما
+
+504
+00:37:40,420 --> 00:37:45,200
+حكت الدائرة وبقول الآن ال T بتساوي صفر المعلومة
+
+505
+00:37:45,200 --> 00:37:50,080
+اللي عندي the inductor treated as an open circuit
+
+506
+00:37:50,080 --> 00:37:53,320
+ما زال open circuit على طول ببقول آية اتنين جده
+
+507
+00:37:53,320 --> 00:37:57,500
+ايش؟ Zero لأن هادي و كده انها صارت شباك كمان في
+
+508
+00:37:57,500 --> 00:38:00,240
+الكاباستر كانت أحلى ان الشباك ماوجوده خالص بس هنا
+
+509
+00:38:00,240 --> 00:38:01,480
+بدي اعتبره انه شباك
+
+510
+00:38:25,590 --> 00:38:26,990
+I1I2I3I4I5I6I7I8I9I10I11I12I13I14I15I16I17I18I20I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21I21
+
+511
+00:38:27,570 --> 00:38:32,230
+بصير التنتين على التوازي تمام وهي لها قيمة بصير
+
+512
+00:38:32,230 --> 00:38:36,230
+هدول التنتين توازي و لا مش توازي هدول توازي قيمتهم
+
+513
+00:38:36,230 --> 00:38:39,750
+جديش اربعة في تمانية تانية و تلاتين على اتلاش بقدر
+
+514
+00:38:39,750 --> 00:38:43,610
+اجيب R equivalent للتانين بجمعهم على اربعة بجيب R
+
+515
+00:38:43,610 --> 00:38:46,850
+equivalent على عشرة بقدر اجيب I equivalent اللي هي
+
+516
+00:38:46,850 --> 00:38:51,250
+I واحد خليني اشوف ايش كاتب بقولي R equivalent عشرة
+
+517
+00:38:51,250 --> 00:38:56,040
+سنة توازي بتساوي اربعةزائد التنتين على التوازي
+
+518
+00:38:56,040 --> 00:38:59,440
+بتوصله مع الأربع على التوالي ولا لأ؟ فهذه التوازي
+
+519
+00:38:59,440 --> 00:39:05,460
+32×12 هي 6.7 Ohm هذي R equivalent تحت الدائرة بقدر
+
+520
+00:39:05,460 --> 00:39:09,340
+اجيب I equivalent لان ولا لأ؟ بتساوي عشرة على هذا
+
+521
+00:39:09,340 --> 00:39:12,660
+المبلغ طب I واحد هي نفسها I equivalent ولا لأ؟
+
+522
+00:39:14,030 --> 00:39:17,850
+فبقوللي اشتري عليها بقوللي اي واحد هي نفسها
+
+523
+00:39:17,850 --> 00:39:21,210
+equivalent بالسنة عشرة على ستة بون سبعة تلقى واحد
+
+524
+00:39:21,210 --> 00:39:25,410
+و نص أمبير طب واحد و نص أمبير هدى واحد و نص أمبير
+
+525
+00:39:25,410 --> 00:39:28,930
+هدول كيه بتجيبوا مش هدول يجسموا هدى بدياخد حصة و
+
+526
+00:39:28,930 --> 00:39:34,450
+هدى بدياخد حصة تقدر تقوله حصة هدى ضعيف حصة هدى ليه
+
+527
+00:39:34,450 --> 00:39:37,810
+فهدى اربعة واحد تمانية هدى ضعف لإن بيجسم على تلاتة
+
+528
+00:39:39,090 --> 00:39:42,990
+لأ مش نفس الشيء، بقى أنا بقول هذه فاف هذه، إذا
+
+529
+00:39:42,990 --> 00:39:46,030
+واحد بتاخد واحد، واحد بتاخد نص، فإنه بتجسم الواحد
+
+530
+00:39:46,030 --> 00:39:48,970
+نص ع طلعته، يعني زي ما بيعملوا في الميرات، لما
+
+531
+00:39:48,970 --> 00:39:50,870
+يكونوا قاعد بيقولوا جسدنا انا انا انا انا انا انا
+
+532
+00:39:50,870 --> 00:39:51,330
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+533
+00:39:51,330 --> 00:39:51,770
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+534
+00:39:51,770 --> 00:39:52,010
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+535
+00:39:52,010 --> 00:39:53,990
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+536
+00:39:53,990 --> 00:39:54,230
+انا انا انا انا انا انا انا انا انا انا انا انا
+
+537
+00:39:54,230 --> 00:40:01,710
+انا انا اان هو المصدر واحد هي زي جهود واحد، المصدر
+
+538
+00:40:01,710 --> 00:40:05,090
+واحد عندهم عشر حصص بجاسمه على عشر حصص و واحد اللي
+
+539
+00:40:05,090 --> 00:40:10,670
+بياخد حصته و مبغوظ الكل من البلاد و البيت بتاخد
+
+540
+00:40:10,670 --> 00:40:11,510
+حصة
+
+541
+00:40:37,670 --> 00:40:46,390
+خلّينا نرجع لأصل شغل الملفالملف شباب هو جهاز
+
+542
+00:40:46,390 --> 00:40:53,010
+لتخزين الطاقة المغناطية في انها جهاز بيخزن الطاقة
+
+543
+00:40:53,010 --> 00:40:58,690
+الكفاسيتر هو جهاز لتخزين الطاقة الكهربائية U تبعت
+
+544
+00:40:58,690 --> 00:41:05,920
+الكفاسيتر بساوي نص Q تربيع على Cأياما حسبت كداش U
+
+545
+00:41:05,920 --> 00:41:09,120
+للكباسيتر كيف حزبتها؟ قولت الكباسيتر هو كيبتها
+
+546
+00:41:09,120 --> 00:41:13,860
+بيشحن بيمكن شحنات من طرف لطرف ونقل الشحنات من طرف
+
+547
+00:41:13,860 --> 00:41:18,100
+لطرف بيرد الشغل حسبت الشغل قولت هي الطاقة الآن
+
+548
+00:41:18,100 --> 00:41:23,400
+بنفس الكيفية بدي أحاول أنا وياكم نشتق قانون يقول
+
+549
+00:41:23,400 --> 00:41:26,420
+الطاقة المغناطسية اللي بتحكي عنها هي جديش قيمتها
+
+550
+00:41:26,420 --> 00:41:31,120
+وإيش علاقتها بالتيار بيقوللي ارجع انت لدائرتك اللي
+
+551
+00:41:31,120 --> 00:41:32,780
+هي هذه الدائرة
+
+552
+00:41:39,720 --> 00:41:45,280
+هذه y وهذه r وهذه a اشخر على كده شوف كلها اشتغلت
+
+553
+00:41:45,280 --> 00:41:48,440
+على كده شوف طلعت عندي هذه المعادلة صح ولا لأ؟الأصل
+
+554
+00:41:48,440 --> 00:41:52,860
+بعد مدة معينة أنا بقول الملف بطل يشتغل لكن هذا لا
+
+555
+00:41:52,860 --> 00:41:56,480
+يعني أنه ماخزنش طاقة، خزن طاقة عشان كده لما أفتح
+
+556
+00:41:56,480 --> 00:42:00,860
+المفتاح بيشتغل من أول و جديد لإن كان الطاقة يتخزن
+
+557
+00:42:00,860 --> 00:42:04,720
+تشتغل فهو في طاقة خزنت برغم إنه بطل يشتغل لكن دوا
+
+558
+00:42:04,720 --> 00:42:07,360
+طاقة خزنت بالدعسبة قال لي طيب انت اشتغلت على
+
+559
+00:42:07,360 --> 00:42:11,680
+كيرشوف واحدة هي بصحي لي أضرب المعادلة بأي إشي؟ أي
+
+560
+00:42:11,680 --> 00:42:14,560
+معادلة بصحي لي أضربها بأي حاجة؟ قال لي اضربها بI
+
+561
+00:42:16,240 --> 00:42:18,440
+multiplying the above equation by I واش اللي
+
+562
+00:42:18,440 --> 00:42:21,680
+استفدته؟ اللي استفدته شغلات كتيرة، الشيء هدى، I في
+
+563
+00:42:21,680 --> 00:42:24,840
+V power و هدى، طب هدى ممنوع .. م .. م .. م .. م ..
+
+564
+00:42:24,840 --> 00:42:25,000
+م .. م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+565
+00:42:25,000 --> 00:42:25,180
+م .. م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+566
+00:42:25,180 --> 00:42:25,620
+م .. م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+567
+00:42:25,620 --> 00:42:26,860
+م .. م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+568
+00:42:26,860 --> 00:42:27,760
+م .. م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+569
+00:42:27,760 --> 00:42:28,000
+م .. م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+570
+00:42:28,000 --> 00:42:28,640
+م .. م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+571
+00:42:28,640 --> 00:42:34,920
+م .. م .. م .. م .. م .. م .. م .. م .. م ..
+
+572
+00:42:34,920 --> 00:42:42,320
+م
+
+573
+00:42:46,650 --> 00:43:00,170
+ماذا تفعل؟ تبعث الملف تبعث الملف تبعث
+
+574
+00:43:00,170 --> 00:43:04,170
+الملف تبعث الملف تبعث الملف تبعث الملف تبعث الملف
+
+575
+00:43:04,170 --> 00:43:06,060
+تبعث الملف تبعث الملف تبعث الملف تبعث الملفالأول
+
+576
+00:43:06,060 --> 00:43:13,280
+ترم يمثل قوة البطارية، والثاني ترم يمثل قوة
+
+577
+00:43:13,280 --> 00:43:22,640
+الانتجار، والثالث ترم يمثل القوةdelivered to the
+
+578
+00:43:22,640 --> 00:43:27,700
+inductor بسوء
+
+579
+00:43:27,700 --> 00:43:32,220
+LIDI على DT و هذه علاقتها مع ال energy DU على DT
+
+580
+00:43:32,220 --> 00:43:33,240
+بسوء LIDI على DT و هذه علاقتها مع ال energy DU على
+
+581
+00:43:33,240 --> 00:43:35,180
+DT بسوء LIDI على DT و هذه علاقتها مع ال energy DU
+
+582
+00:43:35,180 --> 00:43:41,600
+على DT بسوء LIDI على DT و هذه علاقتها مع ال energy
+
+583
+00:43:41,600 --> 00:43:41,740
+DU على DT بسوء LIDI على DT و هذه علاقتها مع ال
+
+584
+00:43:41,740 --> 00:43:42,400
+energy DU على DT بسوء LIDI على DT و هذه علاقتها مع
+
+585
+00:43:42,400 --> 00:43:43,740
+ال energy DU على DT بسوء LIDI على DT و هذه علاقتها
+
+586
+00:43:43,740 --> 00:43:47,340
+مع ال energy DU على DT بسوء LIDI على DT و هذه
+
+587
+00:43:47,340 --> 00:43:48,790
+علاقتها مع ال energy DU على DT بسوءبقول دي يو
+
+588
+00:43:48,790 --> 00:43:54,930
+بيستوي L Zero ل I I D I I D I ايه تكرمه ال I D I I
+
+589
+00:43:54,930 --> 00:44:01,350
+تربيعتني طلع القانون هيو تفرج كتير عن هذه تشوف I
+
+590
+00:44:01,350 --> 00:44:04,290
+تربيعه هناك في هذي I تربيع مش عارف بينك انها اللي
+
+591
+00:44:04,290 --> 00:44:09,740
+تربيعبعدين ال Q تربية ايش حطيت؟ I تربية وبعدين ال
+
+592
+00:44:09,740 --> 00:44:15,040
+C L بس كان في ال bus و أنا في المقام هذه قيمة
+
+593
+00:44:15,040 --> 00:44:21,760
+الطاقة المغناطيسية شباب اللي تتولد جوا ال coal وهي
+
+594
+00:44:21,760 --> 00:44:26,080
+اللي بستفيد منها لما افتح المفتاح تبعي انه بترجح
+
+595
+00:44:26,080 --> 00:44:28,520
+هذه الطاقة بعيد استخدامها زي لما اقول والله هي
+
+596
+00:44:28,520 --> 00:44:31,540
+طاقة مخزنة طب ايش اللي بيجي نزله هذا؟ بقول الطاقة
+
+597
+00:44:31,540 --> 00:44:35,340
+المخزنة هي اللي بتنزله بتتحول لطاقة حركة وبنزل،
+
+598
+00:44:35,340 --> 00:44:41,350
+انزلإذا هذه هي الطاقة المغناطسية اللي تخزن داخل أي
+
+599
+00:44:41,350 --> 00:44:46,170
+coil و بنرجح و بنقول ال coil is a device that is
+
+600
+00:44:46,170 --> 00:44:51,670
+storing magnetic energy طبعا بيكون خزن بال field
+
+601
+00:44:51,670 --> 00:44:55,930
+هذا المصرحات نشوف المثال بقول consider once again
+
+602
+00:44:55,930 --> 00:44:58,130
+there are circuits shown in the figure بقول هذه
+
+603
+00:44:58,130 --> 00:45:02,060
+الدائرة اللي كانت عندكماذا يقول؟ With the switch
+
+604
+00:45:02,060 --> 00:45:05,540
+is thrown to point two after being on position one
+
+605
+00:45:05,540 --> 00:45:08,460
+for a long time. يقول هذا المفتاح كان فيه أول عند
+
+606
+00:45:08,460 --> 00:45:11,740
+واحد. لما كان عند واحد معناته كان شبك بالبطارية
+
+607
+00:45:11,740 --> 00:45:16,490
+ولا لأ؟ كان شبك بالبطارية وستنت عليه.سنت عليه لما
+
+608
+00:45:16,490 --> 00:45:20,910
+بطل الملف يشتغل لكن لما بطل الملف يشتغل خزن طاقة
+
+609
+00:45:20,910 --> 00:45:25,230
+ولا ماخزنش طاقة؟ خزن طاقة وقيمتها توي انا وياكم
+
+610
+00:45:25,230 --> 00:45:31,010
+اشتقيتها بتساوي نص ال I تربية اذا you شباب اللي
+
+611
+00:45:31,010 --> 00:45:38,130
+اتخزنت الان نص ال I تربية حلو بقولي بعد ما خزن
+
+612
+00:45:38,130 --> 00:45:41,550
+المفتاح بدي اجيبه من واحد و احطه على اتنين بقولي
+
+613
+00:45:41,550 --> 00:45:45,900
+وين الطاقة اللي بدأت روحكم؟بدي امسك المقاومة
+
+614
+00:45:45,900 --> 00:45:49,820
+وامسكها تسخن صح؟ ميلاده بدي يكون مرتيار ولا لا؟ طب
+
+615
+00:45:49,820 --> 00:45:53,980
+هذه الطاقة الممتق يقول ان الطاقة اللي فقدت هنا
+
+616
+00:45:53,980 --> 00:45:57,420
+بتثير الطاقة اللي كانت مخزنة هنا صح ولا لا؟ طبعا
+
+617
+00:45:57,420 --> 00:46:00,320
+عن اعتبارها نظريا احنا هنا مانعتبراش ليش طاقات اه
+
+618
+00:46:00,320 --> 00:46:03,480
+لكن هي نظرية موجودة هنا لما تنسك هذا برضه بتلاقي
+
+619
+00:46:03,480 --> 00:46:06,760
+سخن في طاقة لكن احنا بنعتبر ان هذا مافيش طاقة
+
+620
+00:46:06,760 --> 00:46:10,200
+بيقول اثبت ان الطاقة اللي فقدت هنا هي هي نفسها
+
+621
+00:46:10,200 --> 00:46:15,100
+كلها اللي كانت مخزنة هنا ايش بيقول هنا السؤال؟بقول
+
+622
+00:46:15,100 --> 00:46:18,360
+طبعا with a switch in the throne to point two
+
+623
+00:46:18,360 --> 00:46:21,640
+after being on position one for a long time عشان
+
+624
+00:46:21,640 --> 00:46:24,880
+يقول لي في طاقة مخزنة و خلصت منها تمام show that
+
+625
+00:46:24,880 --> 00:46:29,300
+all the energy initially stored in the inductor
+
+626
+00:46:29,300 --> 00:46:33,380
+اللي كانت مخزنة في ال inductor appears as internal
+
+627
+00:46:33,380 --> 00:46:36,640
+energy in the resistor as the current decays to
+
+628
+00:46:36,640 --> 00:46:40,600
+zero طيب أنا بعرف تبعت المقاومة بقول ال power
+
+629
+00:46:40,600 --> 00:46:47,340
+بالساوي I تربيع في ال Rصح ولا لأ؟ هذه ال power هي
+
+630
+00:46:47,340 --> 00:46:54,540
+عبارة عن du على dt بظبط ولا لأ؟ هذه ال u إذا طلعت
+
+631
+00:46:54,540 --> 00:46:59,080
+هذه كلامك صح هذه المهمة دي جيبها لما أنا قاعد
+
+632
+00:46:59,080 --> 00:47:03,840
+بأشبك هذا التيار شباب I بتساوي I not ايه تبقى و
+
+633
+00:47:03,840 --> 00:47:08,230
+نقص T على Tهي طيب لما اكون ا فُك مش واحد ناقص لان
+
+634
+00:47:08,230 --> 00:47:13,350
+انا بفُك طيب ربّحها بيصير ال power بيساوي I naught
+
+635
+00:47:13,350 --> 00:47:18,050
+تربية بيبقى power ناقص اتنين T على Tau وهي احطها
+
+636
+00:47:18,050 --> 00:47:25,030
+هنا بالمرة بيساوي Du على Dt هذا هي عشان اطلع U ايش
+
+637
+00:47:25,030 --> 00:47:34,940
+ممكن تسوي؟ ممكن تكمل؟ Du بتساويI0 تربيع في الـR E²
+
+638
+00:47:34,940 --> 00:47:42,260
+-2T على TAU DT كامل
+
+639
+00:47:42,260 --> 00:47:45,620
+عشان نطلع الـU لازم تطلع حد يه رباكم إذا ما طلعتش
+
+640
+00:47:45,620 --> 00:47:52,440
+حد يه فيه مشكلة كامل هنا ذاكر كامل انت لنزيله لـD
+
+641
+00:47:52,440 --> 00:47:58,560
+وها دي ماهي DU واضحة تمام هذي U بتساوي I0 تربيع
+
+642
+00:47:58,560 --> 00:48:06,140
+على الـRنفس هو بتتجسم على الثابت صح ولا لأ فهذه
+
+643
+00:48:06,140 --> 00:48:13,980
+عبارة عن E تبارك ناقص 2T على T وT تتجسم على 2T
+
+644
+00:48:13,980 --> 00:48:20,420
+بالسالب طبعا السالب بضيع منه من Zero ل T فهنا في
+
+645
+00:48:20,420 --> 00:48:25,200
+سالب أخليها من T ل Zero عشان أضيع السالب مظبوطيكوا
+
+646
+00:48:25,200 --> 00:48:31,260
+ولا لأ تمام قال لي يللا أشتغل هذي Tو هدى حطينا ال
+
+647
+00:48:31,260 --> 00:48:37,560
+T كل شي تمام هدى صارت اي نوع التربية R على اتنين
+
+648
+00:48:37,560 --> 00:48:45,720
+ال tau ايش بتساوي ال R ايه تبار ناقص اتنين T على
+
+649
+00:48:45,720 --> 00:48:52,880
+tau مظبوط هيك ولا لأ تمام ال هى T
+
+650
+00:49:02,590 --> 00:49:09,230
+طيب هدى ال R مع ال R هدى روحت تمام هدى النص اجت
+
+651
+00:49:09,230 --> 00:49:18,750
+شباب هدى فى هدى هى I تربية صح اذا طلعت بالظبط هنا
+
+652
+00:49:18,750 --> 00:49:26,490
+نص ال I تربيةإذا صح الكلام طبعا نغريا عمليا بتلاقي
+
+653
+00:49:26,490 --> 00:49:29,430
+هنا في شرط طاعة بصحيح اننا اعتبرينها طبعا انا هنا
+
+654
+00:49:29,430 --> 00:49:33,610
+عاملها على طول انا مبين هنا عندي صفحه بيضه طلعت
+
+655
+00:49:33,610 --> 00:49:36,810
+على هنا لاجيتها زرقه اجري ملاها تمه
+
+656
+00:49:43,450 --> 00:49:46,650
+It is meant that the current decay as I بسهولة I
+
+657
+00:49:46,650 --> 00:49:49,890
+not اتبع وانناقص T على τاو بس حطت التاو على طول I
+
+658
+00:49:49,890 --> 00:49:53,730
+على R تمام فهذه تبارك طبعا قانون ان الطيار لما
+
+659
+00:49:53,730 --> 00:49:56,770
+يكون decreasing هي قانون ان increasing في واحد
+
+660
+00:49:56,770 --> 00:50:01,880
+ناقص بنميز بحسب السؤال اللي عندناالـ Power بيساوي
+
+661
+00:50:01,880 --> 00:50:04,560
+DU على DT بيساوي تربية على الأرض اللي بتاوي عملت
+
+662
+00:50:04,560 --> 00:50:09,260
+وبداخل بيقول إذا DU بيساوي التكامل و طلعها نص
+
+663
+00:50:09,260 --> 00:50:15,240
+العينات تربية وهذا إثبات على أنه الطاقة اللي خزنت
+
+664
+00:50:15,240 --> 00:50:17,480
+فيه ال inductor راحت كلها على
+
+665
+00:50:25,150 --> 00:50:31,470
+القوانين اللي ثابتة ولي ماحد بحكي عنها إشي لإنه كل
+
+666
+00:50:31,470 --> 00:50:35,450
+الدنيا شبه مركبة عليها إنه حاجة تاخد من حاجة كلها
+
+667
+00:50:35,450 --> 00:50:38,770
+سادات ودين زي ما بيحكوها فالأمور هيك تمام بيكفنا
+
+668
+00:50:38,770 --> 00:50:39,330
+اليوم
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0040de2ca21292c43742a2e0d5c9afe2bc57ce72
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_postprocess.srt
@@ -0,0 +1,3936 @@
+1
+00:00:09,820 --> 00:00:14,440
+بسلامة بسم الله الرحمن الرحيم نستكمل المحاضرة
+
+2
+00:00:14,440 --> 00:00:20,980
+الماضية اللى حكينا عنها عن ال electric charge
+
+3
+00:00:20,980 --> 00:00:26,400
+بعدين وقفنا عن Coulomb's lawبسرعة بدي اعيد columns
+
+4
+00:00:26,400 --> 00:00:31,940
+law عشان بعد هيك بدنا نبدأ نطبق عليه امثلة احنا
+
+5
+00:00:31,940 --> 00:00:35,520
+اتفقنا في البداية ان في we have two kind of
+
+6
+00:00:35,520 --> 00:00:38,840
+charges positive charge and negative charge
+
+7
+00:00:50,710 --> 00:00:57,750
+الشحنات المختلفة تتجذب والشحنات المتشابهة تتنافر
+
+8
+00:01:05,690 --> 00:01:10,930
+هذا هو الثاني مفهوم.الثالث مفهوم هو أن المشكلة
+
+9
+00:01:10,930 --> 00:01:17,190
+مكممة.مكممة يعني أن أي شحنة موجودة في الطبيعة هي
+
+10
+00:01:17,190 --> 00:01:23,960
+مضاعفات شحنة الإلكترون.بعد حكينا عنان المواد قسمت
+
+11
+00:01:23,960 --> 00:01:28,100
+الى conductors وinsulators وفيه طبعا ال
+
+12
+00:01:28,100 --> 00:01:32,800
+semiconductors مالناجعة فيها قوة الجذب وقوة
+
+13
+00:01:32,800 --> 00:01:38,060
+التنافر هي قوة اذا لابد من وجود قانون يمكنني ان
+
+14
+00:01:38,060 --> 00:01:45,200
+احسب هذه القوة كل يوم هو لأوجه هذا القانون كولومز
+
+15
+00:01:45,200 --> 00:01:50,860
+لو اعطاني عدةملاحظات طبعا هذه الملاحظات احنا
+
+16
+00:01:50,860 --> 00:01:54,520
+قدناها وحكيناها قبل كده بس عيدها بسرعة بيقول لي
+
+17
+00:01:54,520 --> 00:01:57,240
+the force is directly proportional to the
+
+18
+00:01:57,240 --> 00:02:00,160
+magnitude of the charges of each particle يعني
+
+19
+00:02:00,160 --> 00:02:04,480
+القوة تتناسب تناسب انترضيا مع مقدار الشحنتين اللي
+
+20
+00:02:04,480 --> 00:02:15,250
+بيهم القوةالملاحظة التالية القوة تتناسب
+
+21
+00:02:15,250 --> 00:02:19,650
+تناسبا عكسيا مع مربع المسافر اللي بينهم الشغل اللي
+
+22
+00:02:19,650 --> 00:02:22,930
+يتركه في اتجاه القوة هو الشغل اللي يتركه في اتجاه
+
+23
+00:02:22,930 --> 00:02:24,230
+القوة هو الشغل اللي يتركه في اتجاه القوة هو الشغل
+
+24
+00:02:24,230 --> 00:02:25,810
+اللي يتركه في اتجاه القوة هو الشغل اللي يتركه في
+
+25
+00:02:25,810 --> 00:02:26,470
+اتجاه القوة هو الشغل اللي يتركه في اتجاه القوة هو
+
+26
+00:02:26,470 --> 00:02:27,270
+الشغل اللي يتركه في اتجاه القوة هو الشغل اللي
+
+27
+00:02:27,270 --> 00:02:28,970
+يتركه في اتجاه القوة هو الشغل اللي يتركه في اتجاه
+
+28
+00:02:28,970 --> 00:02:33,750
+القوة هو الشغل اللي يتركه في اتجاه القوة هو الشغل
+
+29
+00:02:33,750 --> 00:02:39,050
+اللي يتإذا كانت الملاحظات متشابهة ومتطرفة إذا كانت
+
+30
+00:02:39,050 --> 00:02:44,870
+الملاحظات متشابهة هذه الملاحظات حقق كلهم بقانون
+
+31
+00:02:44,870 --> 00:02:54,190
+معين اللي هو الوافة2 1 the force on one due to two
+
+32
+00:02:54,190 --> 00:02:58,450
+هذه القوة اللي على واحد من اتنين يعني هذه القوة
+
+33
+00:02:58,450 --> 00:03:05,030
+اللي بتأثر على Q1 بتساوي K ثابت تناسب في Q1 في Q2
+
+34
+00:03:05,030 --> 00:03:10,710
+تناسب ترضي محاصر ضرب الشحنتين شباب ال Q1 و Q2 على
+
+35
+00:03:10,710 --> 00:03:17,370
+مربع المسافة اللي بينهم ال absolute value شباب
+
+36
+00:03:17,370 --> 00:03:22,740
+انحطت ليش؟عشان انا بقعد مجيب ال magnitude و ال
+
+37
+00:03:22,740 --> 00:03:26,260
+sign تبعتلي ال charge بتحددلي ال direction زي ما
+
+38
+00:03:26,260 --> 00:03:33,160
+قد حشوف تمام و R اتفقنا الشيء و K هي ثابت مقداره
+
+39
+00:03:33,160 --> 00:03:40,260
+يعطيه لكم و قعدنا هنكتبهEqual 9 X 9 وحدة نيوتن متر
+
+40
+00:03:40,260 --> 00:03:45,960
+سكوير على كلهم سكوير وحدة نيوتن متر سكوير على كلهم
+
+41
+00:03:45,960 --> 00:03:49,240
+سكوير وحدة نيوتن متر سكوير على كلهم سكوير وحدة
+
+42
+00:03:49,240 --> 00:03:49,760
+نيوتن متر سكوير على كلهم سكوير وحدة نيوتن متر
+
+43
+00:03:49,760 --> 00:03:51,560
+سكوير على كلهم سكوير وحدة نيوتن متر سكوير على كلهم
+
+44
+00:03:51,560 --> 00:04:01,060
+سكوير وحدة نيوتن متر سكوير على كلهم
+
+45
+00:04:01,060 --> 00:04:07,450
+سكوهو زي ما حكيت انا ان ال K تُعطى بهذه الصيغة 9
+
+46
+00:04:07,450 --> 00:04:11,310
+في 10 أو 9 النيوتن متر تربية على كلهم تربية وهذه
+
+47
+00:04:11,310 --> 00:04:15,450
+من الثوابت اللي هيعطيه لكم دائما في كل امتحاناتكم
+
+48
+00:04:15,450 --> 00:04:19,110
+برضه K اتفقنا عليه انه يكون وصيغة تانية يكتب على
+
+49
+00:04:19,110 --> 00:04:22,750
+شكل انه 1 على 4 by epsilon not هذه epsilon not
+
+50
+00:04:22,750 --> 00:04:27,090
+ثابت تاني معروف برضه علميا وموجود وفي كل كتب
+
+51
+00:04:27,090 --> 00:04:31,150
+الفيزيا موجود كمقداريسمى permittivity of free
+
+52
+00:04:31,150 --> 00:04:35,230
+space ثابت النفاذية الكعربية للفراغ وحكينا عنه
+
+53
+00:04:35,230 --> 00:04:41,570
+بهذه الكيفية تم اتفاقنا
+
+54
+00:04:41,570 --> 00:04:44,570
+ان الكلوم ك vector ممكن يكتب بهذه الصيغة ما زال
+
+55
+00:04:44,570 --> 00:04:47,370
+كتابة vector بتروح ال absolute value يا شباب لما
+
+56
+00:04:47,370 --> 00:04:50,270
+بدي اجيب ال magnitude لازم احط ال absolute values
+
+57
+00:04:50,270 --> 00:04:53,210
+بدي اكتبه ك vector بتروح ال absolute value هذه
+
+58
+00:04:53,210 --> 00:04:57,780
+الشيء التاني اللي عرفناها انهالـ Electric force is
+
+59
+00:04:57,780 --> 00:05:03,940
+a force يعني زيها زي الشد زيها زي ال friction زيها
+
+60
+00:05:03,940 --> 00:05:09,100
+زي ال weight ينطبق عليها جميع قوانين نيوتن التلاتة
+
+61
+00:05:09,100 --> 00:05:13,280
+و بما فيهم التالت اللي بيقول لكل فعل رد فعل مساوي
+
+62
+00:05:13,280 --> 00:05:16,240
+له في المقدار و مضاد له في الاتجاه بالتالي زي ما
+
+63
+00:05:16,240 --> 00:05:21,560
+Q1 بتتأثر في Q2 هي هتأثر على Q2 بنفس القوةوبالتالي
+
+64
+00:05:21,560 --> 00:05:27,740
+انا بتوقع ان F12 و F21 بينهم مسواء بس إشارة سالب
+
+65
+00:05:27,740 --> 00:05:33,800
+عشان المعاكسة تمام وإذا كان في عندك أكتر من القوة
+
+66
+00:05:33,800 --> 00:05:38,100
+اتفقنا بتكون ال resultant force هي مجموع القوة
+
+67
+00:05:38,100 --> 00:05:42,940
+اللي على الشحنة وهذا جماع اتجاهي مش أكتر زي ما
+
+68
+00:05:42,940 --> 00:05:48,000
+اتفقنا F21 و F12 عكس بعيد وهذا هو نيوتن التالت
+
+69
+00:05:48,000 --> 00:05:53,690
+واخر حاجة اتفقنا عليهاإن قانون كلوم لا ينطبق إلا
+
+70
+00:05:53,690 --> 00:05:57,270
+على ال pointy charges أو الشحنات اللي حجمها بحجم
+
+71
+00:05:57,270 --> 00:06:00,770
+النقطة وانت واعرفنا ليش ان في عندي خلل في المسافات
+
+72
+00:06:00,770 --> 00:06:07,050
+بتكون بهذه الحالة تمام هجب أن نبدأ جديا ونحل أسئلة
+
+73
+00:06:07,700 --> 00:06:11,940
+أول مثال عشان يديني الـSense أحس الشيء القوة
+
+74
+00:06:11,940 --> 00:06:17,220
+الكهربية قال لي حلم مثال بسيط جدا جسمين مشحونين
+
+75
+00:06:17,220 --> 00:06:20,760
+اللي هم الالكيوم و البروتون و قال لي روح على ذرة
+
+76
+00:06:20,760 --> 00:06:26,480
+الهيجروجين أبسط أنواع الذرات و انت عارفينها فحكى
+
+77
+00:06:26,480 --> 00:06:31,710
+لي انه انت في عندك قانون قلومشبعته بقالون الجاذب
+
+78
+00:06:31,710 --> 00:06:36,250
+العام صح ولا لأ؟ قالون الجاذب العام بيجيبلك القوة
+
+79
+00:06:36,250 --> 00:06:41,940
+التجاذب بقى بين أي كتلتين صح؟والقانون تبقى عقلوم
+
+80
+00:06:41,940 --> 00:06:44,860
+بيجيبلك القوة الكهربية بين جسمين لازم يكونوا
+
+81
+00:06:44,860 --> 00:06:48,060
+مشحونين قوة الجانب مش مضلولة يكونوا مشحونين قولتلي
+
+82
+00:06:48,060 --> 00:06:53,420
+تقولي قارنني بين هالقواتين قولي find the magnitude
+
+83
+00:06:53,420 --> 00:06:57,600
+of the electrical force and the gravitational
+
+84
+00:06:57,600 --> 00:07:01,560
+force between the electron and the proton in the
+
+85
+00:07:01,560 --> 00:07:04,680
+hydrogen atom الالكرون و البروتون شباب ما هم كتل
+
+86
+00:07:05,200 --> 00:07:11,440
+هذا كتلة و هذا كتلة و كتلة و كتلة و كتلة
+
+87
+00:07:11,440 --> 00:07:16,600
+و كتلة و كتلة
+
+88
+00:07:16,600 --> 00:07:17,320
+و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و
+
+89
+00:07:17,320 --> 00:07:17,360
+كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و
+
+90
+00:07:17,360 --> 00:07:18,260
+كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و
+
+91
+00:07:18,260 --> 00:07:19,560
+كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و
+
+92
+00:07:19,560 --> 00:07:20,580
+كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و
+
+93
+00:07:20,580 --> 00:07:23,060
+كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و
+
+94
+00:07:23,060 --> 00:07:26,020
+كتلة و كتلة و كتلة و كتلة و كتلة و كتلة و ك
+
+95
+00:07:26,050 --> 00:07:29,570
+وبالإلكترون يدور حولها وبالتالي نصف قطر ذرة
+
+96
+00:07:29,570 --> 00:07:34,070
+الهيدروجين هي المسافة ما بين الإلكترون والبروتون ك
+
+97
+00:07:34,070 --> 00:07:37,230
+average مدينة إليها ده اللي جيب القوة الكعربية
+
+98
+00:07:37,230 --> 00:07:41,910
+وجيب برضه قوة الجذب وقارن بينهم شوف إيش هذي وإيش
+
+99
+00:07:41,910 --> 00:07:46,330
+هذي بمجرد بسيط نبدأ بالقوة الجديدة وهي قوة كلوم أو
+
+100
+00:07:46,330 --> 00:07:52,160
+القوة الكعربية Fe Electric Forceقالون كله مش بيقول
+
+101
+00:07:52,160 --> 00:07:57,640
+بيقول K في Q1 في Q2 على مربع المسافة اللي بينهم صح
+
+102
+00:07:57,640 --> 00:08:04,520
+ولا لأ؟ هاي القانون حلو K ثابت معطق ال Q1 و Q2
+
+103
+00:08:04,520 --> 00:08:08,160
+عندي معلومة بتقول شحنة الإلكترون و شحنة البروتون
+
+104
+00:08:08,160 --> 00:08:15,330
+بتساويوبتسوي 1.6×-19 وبرضه يعطيلكم تمام كنقدر مقبع
+
+105
+00:08:15,330 --> 00:08:18,310
+المسافة هى نديني إياها ببقى علي أعرف أنه عشان
+
+106
+00:08:18,310 --> 00:08:24,740
+أستخدم ال SI system لازم أحول لانجسترونليش؟ لمتر
+
+107
+00:08:24,740 --> 00:08:29,140
+طبعا الانجسترون ten to power minus ten عشر عوض
+
+108
+00:08:29,140 --> 00:08:34,160
+سالب عشرة متر فهي نضال طب لما نحسب بقول نحسب تسعة
+
+109
+00:08:34,160 --> 00:08:39,120
+في عشر عنصر تسعة هو مقدار K صح ولا لأ ال Q واحد و
+
+110
+00:08:39,120 --> 00:08:42,940
+Q اتنين اخوة بيسووا one point six ten to power
+
+111
+00:08:42,940 --> 00:08:46,760
+minus nineteen كلوم one point six ten to power
+
+112
+00:08:46,760 --> 00:08:51,000
+minus nineteen square لان في عندي two Q'sتمام؟ على
+
+113
+00:08:51,000 --> 00:08:58,100
+مربع المسافة 0.53 أنجسترون عوّلتها لمتر 10⁻10 متر
+
+114
+00:08:58,100 --> 00:09:02,920
+وعملت square وديبت ال calculator حسبت طلعت 0.8.2
+
+115
+00:09:02,920 --> 00:09:10,670
+10⁻8 ليوتن كبيرة ولا صغيرةسغيرة تقريبا جزء من مائة
+
+116
+00:09:10,670 --> 00:09:13,850
+مليون شباب لأن المليون عشرة و أسالة بستة بتعرفين
+
+117
+00:09:13,850 --> 00:09:16,310
+هذه عشرة و أسالة بتمانية يعني انا مائة مليون جزء
+
+118
+00:09:16,310 --> 00:09:19,750
+من مائة مليون شوفوا قداشي صغيرة لكن لسه مقدش اقول
+
+119
+00:09:19,750 --> 00:09:24,070
+صغيرة ولا كبيرة بدي اشوف التانية بدي اشوف التانية
+
+120
+00:09:24,070 --> 00:09:30,730
+تمام to find the gravitational force we have قانون
+
+121
+00:09:30,730 --> 00:09:39,550
+فيزياليف لتذكروا مع بعضأف بتساوي capital G M1 M2
+
+122
+00:09:39,550 --> 00:09:42,570
+over R122
+
+123
+00:09:44,760 --> 00:09:49,780
+G ثابت محطوط في الكتب The mass of the proton is
+
+124
+00:09:49,780 --> 00:09:53,260
+known وموجود في الكتب The mass of the electron is
+
+125
+00:09:53,260 --> 00:09:56,440
+known constant وموجود في الكتب مربعين مسافة هي
+
+126
+00:09:56,440 --> 00:10:01,380
+وعطانياها صح ولا لأ؟ مضي غاوت برضه لما يتعودت G
+
+127
+00:10:01,380 --> 00:10:06,420
+equal 6.67 10 to power minus 11 طبعا في ال two
+
+128
+00:10:06,420 --> 00:10:13,110
+tens اللي اللي بحصل صحيه يا راح ده9.11 X 10⁻³¹1
+
+129
+00:10:13,110 --> 00:10:22,450
+كيلو جرام 9.11 X 10⁻³¹1
+
+130
+00:10:22,450 --> 00:10:23,050
+كيلو جرام 9.11 X 10⁻³¹1 كيلو جرام 9.11 X 10⁻³¹1
+
+131
+00:10:23,050 --> 00:10:23,570
+كيلو جرام 9.11 X 10⁻³¹1 كيلو جرام 9.11 X 10⁻³¹1
+
+132
+00:10:23,570 --> 00:10:26,850
+كيلو جرام 9.11 X 10⁻¹¹1 كيلو جرام 9.11 X 10⁻¹¹1
+
+133
+00:10:26,850 --> 00:10:30,290
+كيلو جرام 9.11 X 10⁻¹¹1 كيلو جرام 9.11 X 10⁻¹¹1
+
+134
+00:10:30,290 --> 00:10:36,740
+كيلو جرام 9.11 X 10⁻�3.6 X 10⁻⁴
+
+135
+00:10:36,740 --> 00:10:47,620
+هو 3.6 X 10⁻⁴ وهي نفس المسافةتصور في 10-47 هذي 10
+
+136
+00:10:47,620 --> 00:10:50,800
+-8 ويقولنا أنها صغيرة طب هذي .. هذي مقاتلة متساوية
+
+137
+00:10:50,800 --> 00:10:55,380
+0 approximate equal to zero مش موجودة يعني بوجود
+
+138
+00:10:55,380 --> 00:10:59,180
+قوة القهرة بقى قوة الجاذب انساها بقولي ولا إلا
+
+139
+00:10:59,180 --> 00:11:04,540
+تأثير عشان بس أنت تحس فيها شوف اللي تحتنيها أقل
+
+140
+00:11:04,540 --> 00:11:08,260
+ضعف أكبر من الفجانية أقل ضعف ده اللي جسموا مع بعض
+
+141
+00:11:09,870 --> 00:11:14,930
+نذة FE على FG تقريبا
+
+142
+00:11:14,930 --> 00:11:21,930
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+143
+00:11:21,930 --> 00:11:22,130
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+144
+00:11:22,130 --> 00:11:22,270
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+145
+00:11:22,270 --> 00:11:25,610
+تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا تقريبا
+
+146
+00:11:25,610 --> 00:11:29,720
+تقمليارات المليارات وبالتالي هذا بس عشان الدين
+
+147
+00:11:29,720 --> 00:11:32,800
+يحسس انه انا لما اتعامل مع القوة الكهربية ماحد
+
+148
+00:11:32,800 --> 00:11:37,780
+يقولي وين انسيت قوة الجاذب بينهم قوة الجاذب تهمل
+
+149
+00:11:37,780 --> 00:11:41,100
+مقارنة بالقوة الكهربية شوفوا قديش صغيرة هذا مثال
+
+150
+00:11:41,100 --> 00:11:44,580
+هيك بس يعني مجرد نسخ مع بعض طبعا انه عشان
+
+151
+00:11:44,580 --> 00:11:47,040
+المفاجئين كانوا بيديها حساب قانون كلهم وانا بدي ان
+
+152
+00:11:47,040 --> 00:11:50,560
+احلي مثال حقيقي example
+
+153
+00:11:51,380 --> 00:11:56,320
+بيقول لي three pointed charges طبعا قللي pointed
+
+154
+00:11:56,320 --> 00:11:58,780
+charge عشان قانون كلهم لا ينطبق على ال pointed
+
+155
+00:11:58,780 --> 00:12:01,620
+charges يا باب صحيح ولا لأ؟ فقاللي هى هم pointed
+
+156
+00:12:01,620 --> 00:12:04,700
+charge عشان ماتعملش حجة قانون كلهم ينطبق ال three
+
+157
+00:12:04,700 --> 00:12:10,280
+pointed charges ofمقادهم كلهم معطيين five micro
+
+158
+00:12:10,280 --> 00:12:14,980
+column minus two micro column يعني حتى نوع الشحنة
+
+159
+00:12:14,980 --> 00:12:18,960
+يعطينا minus two يعني مقدارها اتنين و نوعها سالب
+
+160
+00:12:18,960 --> 00:12:23,040
+صح ولا لا؟ and five micro column و تالتة five
+
+161
+00:12:23,040 --> 00:12:25,820
+micro column زي الأولى مش قابلية I'm located at
+
+162
+00:12:25,820 --> 00:12:28,280
+the corner of a right triangle as shown in the
+
+163
+00:12:28,280 --> 00:12:31,960
+figure دائما الرسمة من معطيات السؤال شباب ال
+
+164
+00:12:31,960 --> 00:12:34,360
+triangle هو right و قعدنا نشوف ان هو متساور اضلاع
+
+165
+00:12:34,360 --> 00:12:40,400
+كمان تمامFind the resultant electric force exerted
+
+166
+00:12:40,400 --> 00:12:41,360
+on Q3
+
+167
+00:12:48,590 --> 00:12:53,130
+هذه الـ Q1 وهذه الـ Q2 وهذه الـ Q3 والمسافات عقنية
+
+168
+00:12:53,130 --> 00:12:56,810
+هذه معطيات هجت الـ Q2 السالب اللي هو أنا اعتمد
+
+169
+00:12:56,810 --> 00:12:59,850
+اللون الأزرق للسالب و اللون الأحمر للموجب زي ما
+
+170
+00:12:59,850 --> 00:13:02,910
+احنا متعودين دايما ان السليك الأحمر هو الموجب و
+
+171
+00:13:02,910 --> 00:13:05,370
+السليك الأزرق هو السالب فاننا نعتمد احنا اللون
+
+172
+00:13:05,370 --> 00:13:08,710
+الأزرق ل negative charges و اللون الأحمر ل
+
+173
+00:13:08,710 --> 00:13:12,010
+positive charges فهذه معطيات السؤال بيقول لي عندي
+
+174
+00:13:12,010 --> 00:13:16,750
+تلت شحناتمقاديرهم وانواعهم مُعطَيِّن، مُحطُطين على
+
+175
+00:13:16,750 --> 00:13:21,210
+رؤوس مثلث قائم الزاوية ومتساوى الساقين، 0.1، 0.1،
+
+176
+00:13:21,210 --> 00:13:24,930
+نظروا الألتالت اللي ممكن يجيبوا؟ من؟ من في فرغوص،
+
+177
+00:13:24,930 --> 00:13:30,530
+تمام، إيش بده؟ بيقوللي أوجد القوة الكلية على كيو
+
+178
+00:13:30,530 --> 00:13:34,690
+تماتة شباب، الـQ تماتة بتتأثر بشحنة ولا بشحنتين؟
+
+179
+00:13:35,350 --> 00:13:39,870
+يعني أنا كم قوة بتأثر عليها؟ بدي أجيبهم وبعدين
+
+180
+00:13:39,870 --> 00:13:45,170
+أجمعهم أجمعهم ك vectors او ك skills؟ ك vector
+
+181
+00:13:45,170 --> 00:13:49,890
+لأنهم قدرات و ال force is a vector quantity يعني
+
+182
+00:13:49,890 --> 00:13:53,290
+لما تطلع واحد منهم خمسة و التانية تلاتة او تمانية
+
+183
+00:13:53,290 --> 00:13:57,750
+لأ بتطلع ال directions صح ولا لأ؟ كيف ننحي الشباب؟
+
+184
+00:13:57,750 --> 00:14:01,170
+أول خطوة بدي نعملها بدي أحدد ال directions على
+
+185
+00:14:01,170 --> 00:14:06,030
+الرسمة كيف بدي أحدد ال directions؟تبع للتجاذب
+
+186
+00:14:06,030 --> 00:14:10,750
+والتنافر المعلوم اللى عندي لو الشحنات متشابهات
+
+187
+00:14:10,750 --> 00:14:15,990
+تنافر لو مختلفات تجاذب الان انا ايش بده اطلع هو
+
+188
+00:14:15,990 --> 00:14:20,010
+ايش بده قوة على اي شحنة شباب على Q3 اذا انا باطلع
+
+189
+00:14:20,010 --> 00:14:24,180
+على Q3 هي اللى بيجيبهي بتتنافرهي اللي بدهن يجذبهي
+
+190
+00:14:24,180 --> 00:14:27,340
+بالإتنافر. يعني هي اللي بدهن تتحرك. أنا بديش شحنات
+
+191
+00:14:27,340 --> 00:14:30,440
+منهم، أنا بديش دقاء فيهم. هم مؤثرين لكن أنا بدرسش
+
+192
+00:14:30,440 --> 00:14:33,460
+حركتهم. أنا بدرس القوة اللي على مين قاعد؟ على
+
+193
+00:14:33,460 --> 00:14:40,260
+الـQ3. بالتالي بدي أكون تركيزي on الـQ3. وده شباب؟
+
+194
+00:14:40,260 --> 00:14:46,300
+تمام. نبدأ الـQ3 و الـQ1 متشابهات ولا مختلفات؟
+
+195
+00:14:46,300 --> 00:14:50,000
+متشابهات. إذا القوة بينهم attractive or repulsive؟
+
+196
+00:14:50,950 --> 00:14:54,250
+reversive يعني تنافورية يعني بدي اتطلع مين بدي
+
+197
+00:14:54,250 --> 00:14:59,570
+اتنافر Q3 ولا Q1 ايش المقلوب مني انا Q3 انا
+
+198
+00:14:59,570 --> 00:15:02,130
+المقلوب مني Q3 التنتين مظبوط لكن انا مش مقلوب من
+
+199
+00:15:02,130 --> 00:15:05,110
+ال Q1 بقول الشحنة ايه اللي هو بدي قوة عليه الشحنة
+
+200
+00:15:05,110 --> 00:15:11,850
+اذا بركز على Q3 بقول Q3 بدي اتنافر واني بتروحهي
+
+201
+00:15:11,850 --> 00:15:15,830
+اتجاه القوة. هذا هو اتجاه القوة اللي بيحدده. في
+
+202
+00:15:15,830 --> 00:15:19,410
+بينهم قوة التنافر. بطل على كيو تلاتة. وقالينكم
+
+203
+00:15:19,410 --> 00:15:24,030
+شباب بيكترصموا free body diagram of كيو ثري. إذن
+
+204
+00:15:24,030 --> 00:15:26,650
+بالتاني لما ترصموا free body diagram القوة بتكون
+
+205
+00:15:26,650 --> 00:15:28,850
+على الشحنة اللي بيكترصمولها ل free body diagram
+
+206
+00:15:28,850 --> 00:15:33,370
+ولا لأ. إذن بالتاني لو بدي أدي أحيل شباب هي بتشارج
+
+207
+00:15:33,370 --> 00:15:34,030
+كيو ثري
+
+208
+00:15:41,310 --> 00:15:47,270
+القوة اللي على تلاتة من واحد due to Q1 and F23 من
+
+209
+00:15:47,270 --> 00:15:51,090
+وين جاء الـF23؟ من الـ2 من الـ2 with the direction
+
+210
+00:15:51,090 --> 00:15:54,350
+shown يلّا نحط ال direction زي ما قبل حكينا الـQ3
+
+211
+00:15:54,350 --> 00:15:59,910
+will be repulsive with Q1 the force on Q3 will be
+
+212
+00:15:59,910 --> 00:16:03,410
+repulsive بالتاني هتكون القوة بهذه الشكل صح ولا
+
+213
+00:16:03,410 --> 00:16:03,970
+لأ؟
+
+214
+00:16:07,310 --> 00:16:09,590
+حاجات انا ايش قاعد بديب القوة؟ على مين؟ ايش
+
+215
+00:16:09,590 --> 00:16:13,190
+المطلوب مني؟ مطلوب القوة على Q3 هذا مطلوب السؤال
+
+216
+00:16:13,190 --> 00:16:17,430
+انا هعدده مش باختياري بقول find the resultant
+
+217
+00:16:17,430 --> 00:16:22,410
+electric force exerted on Q3 تمام؟ على Q3 بقول Q3
+
+218
+00:16:22,410 --> 00:16:26,250
+is affected by two forces عليها قوتين Q3 صح ولا
+
+219
+00:16:26,250 --> 00:16:31,290
+لأ؟ من واحد عليها قوة ومن اتنين عليها قوة بديعوا
+
+220
+00:16:31,290 --> 00:16:36,070
+واحدة واحدة نبدأ بواحدواحد و تلاتة are like the
+
+221
+00:16:36,070 --> 00:16:39,950
+same sign of charges صح ولا لأ، اتنين موجبات،
+
+222
+00:16:39,950 --> 00:16:44,010
+اتانية كماطة، هي خمسة و خمسة، تمام؟ اذا بقول القوة
+
+223
+00:16:44,010 --> 00:16:47,870
+اللي بينهم repulsive، صح؟ شوف repulsive يعني بدي
+
+224
+00:16:47,870 --> 00:16:51,970
+تتنافر، بما ان طالب القوة على Q تلاتة بقول Q تلاتة
+
+225
+00:16:51,970 --> 00:16:55,810
+هي بدي تتنافر، مش واحد، لأن هو طالب Q تلاتة،
+
+226
+00:16:55,810 --> 00:17:02,140
+بالتالة بقول Q threeسيتأثر من قوة التجارة F13 كما
+
+227
+00:17:02,140 --> 00:17:06,780
+تشاهد في الفيجارة طيب بالنسبة لـQ2 القوة التانية
+
+228
+00:17:06,780 --> 00:17:10,080
+بينهم قوة تجارة و لا قوة تجارة طيب إذا أنا أشتغل
+
+229
+00:17:10,080 --> 00:17:11,580
+على قوة تجارة قواتي تجارة قواتي تجارة قواتي تجارة
+
+230
+00:17:11,580 --> 00:17:12,280
+قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة
+
+231
+00:17:12,280 --> 00:17:12,540
+قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة
+
+232
+00:17:12,540 --> 00:17:12,960
+قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة
+
+233
+00:17:12,960 --> 00:17:22,900
+قواتي تجارة قواتي تجارة قواتي
+
+234
+00:17:22,900 --> 00:17:29,480
+تجارةالشباب اللي كان على رأسنا حددت اتجاه القوتين
+
+235
+00:17:29,480 --> 00:17:35,320
+واضح ان التاني F23 is directed along the negative
+
+236
+00:17:35,320 --> 00:17:44,180
+x axis ولا لألكن f13 between the x and the y بدى
+
+237
+00:17:44,180 --> 00:17:48,260
+تحليل صح اي مرة بحلل بظبط ولا لا اخدنا التحليل
+
+238
+00:17:48,260 --> 00:17:51,780
+واحدة واحدة ما زال ما حددت الاتجاه و خلصت الدورة
+
+239
+00:17:51,780 --> 00:17:54,880
+جيب ال magnitude و ال magnitude قانون كلهم بيجيبهم
+
+240
+00:17:54,880 --> 00:17:59,670
+صح ولا لا كم بعد انا هادى الخطوة كتير ماهمأول ما
+
+241
+00:17:59,670 --> 00:18:01,890
+بدي أدى بدي أحدد ال directions على الرسمة يا شباب
+
+242
+00:18:01,890 --> 00:18:04,850
+أول خطوة بدي أعملها أحدد ال directions على الرسمة
+
+243
+00:18:04,850 --> 00:18:08,150
+وبعد كده بدي بال magnitude و بشتغل ك vectors سهلة
+
+244
+00:18:08,150 --> 00:18:15,270
+نتعامل معها بقول F13 ك magnitude عشان كده مش حاطب
+
+245
+00:18:15,270 --> 00:18:19,810
+vector فوق ال F equal K في ال absolute value ل Q1
+
+246
+00:18:19,810 --> 00:18:25,590
+multiplied by the absolute value of Q3 over R132
+
+247
+00:18:27,960 --> 00:18:39,520
+9 X 9 Q1 5 X 10⁻⁶ الماكرو كلهم يتحولوا لكلهم شباب
+
+248
+00:18:39,520 --> 00:18:45,000
+مينساش ال S I unit of charge is كلهم مش ماكرو كلهم
+
+249
+00:18:45,000 --> 00:18:50,060
+الداني ماكرو كلهم يتحولها و الماكرو 10⁻⁶ و Q3 فرضه
+
+250
+00:18:50,060 --> 00:18:54,980
+5 بحطها طب مربع أي مسافة او point oneهل المسافة
+
+251
+00:18:54,980 --> 00:18:58,260
+بين واحد و تلاتة او point one و لا اي رقم بدي اشوف
+
+252
+00:18:58,260 --> 00:19:02,700
+و بدي اخده بقدر اجيبه من ال FIFA goals زي ما انتوا
+
+253
+00:19:02,700 --> 00:19:08,240
+حكيته تمام بقول nine ten to power nine هذا مقدار K
+
+254
+00:19:08,240 --> 00:19:14,540
+five ten to power minus six the value of Q1 five
+
+255
+00:19:14,540 --> 00:19:17,680
+ten to power minus six the value of Q3 they are
+
+256
+00:19:17,680 --> 00:19:25,380
+equal over هذه المسافة شباب هي مربعجزر التربيعي لـ
+
+257
+00:19:25,380 --> 00:19:29,300
+0.1 ولا لأ من فيثا وارس صح ولا لأ هاي فيثا وارس
+
+258
+00:19:29,300 --> 00:19:35,720
+بتجيبها فحطيتها وربعتها بس
+
+259
+00:19:35,720 --> 00:19:39,660
+2 تحت الجزر والباقي 0.1 طبعا ربعتها 0.1 اللي هي
+
+260
+00:19:39,660 --> 00:19:43,260
+اللي فوق طولها تحت 11 نيوتين طبعا هاي أول واحدة
+
+261
+00:19:43,260 --> 00:19:46,800
+جيبتها 11 نيوتين لإن أنا كنت قادر أقول باتجاه ال I
+
+262
+00:19:46,800 --> 00:19:50,080
+ولا باتجاه ال J صح ولا لأ واحدة واحدة ماني بحللها
+
+263
+00:19:50,080 --> 00:19:57,610
+بس أجيب أختهاأعطوه كمجموعة بقول F23 equal to the
+
+264
+00:19:57,610 --> 00:20:04,070
+absolute value of Q2 over the square of the
+
+265
+00:20:04,070 --> 00:20:08,450
+distance between them بدا نقل الشباب لما حطوا Q2
+
+266
+00:20:08,450 --> 00:20:12,070
+حطوا absolute value بديش بكرة طالب يقولوا حرام هذه
+
+267
+00:20:12,070 --> 00:20:16,200
+السالب ماحطهاش في جوابهالسالب ممنوع تنحط لان ال
+
+268
+00:20:16,200 --> 00:20:19,640
+absolute value يعني ان انا ماليش دقوة بالسالب و
+
+269
+00:20:19,640 --> 00:20:22,480
+انا ماديه magnitude بالتالي انا ماني بدى اعود مش
+
+270
+00:20:22,480 --> 00:20:26,700
+واحد يحط لي minus two لأ هي two مع ان المعطيات
+
+271
+00:20:26,700 --> 00:20:29,840
+هناك minus minus one في الآخر عشان كده انا حاطط ال
+
+272
+00:20:29,840 --> 00:20:32,480
+absolute value للشباب وهذه بأكسل الشغلات الكتيرة
+
+273
+00:20:32,480 --> 00:20:36,050
+اللي حاطط السالب بتعرفها خطأ عن خطأوبالتالي لما
+
+274
+00:20:36,050 --> 00:20:39,830
+أقول absolute value لأنه أنا بجيب المجلد two تبع
+
+275
+00:20:39,830 --> 00:20:43,490
+ال force two ten to power minus six the value of
+
+276
+00:20:43,490 --> 00:20:47,330
+q2 five ten to power minus six the value of q3
+
+277
+00:20:47,330 --> 00:20:51,470
+over the distance between two and three 0.1 ولا
+
+278
+00:20:51,470 --> 00:20:57,240
+لأ؟ 0.1 ردعتها اشتغلت طولها التسعة نيوتينالـ two
+
+279
+00:20:57,240 --> 00:21:01,480
+forces كمجموعه جابه الـ direction جاهز إذا فيه أي
+
+280
+00:21:01,480 --> 00:21:05,340
+طالب بنسى بيقول خلص السؤال نجمع تسعة و أحداشر
+
+281
+00:21:05,340 --> 00:21:09,620
+عشرين في مشكلة كلها اللي بنشتغله و كلها الشطر
+
+282
+00:21:09,620 --> 00:21:13,680
+الأولاني الفيزيائي أتعلمنا كيف نجيب نتعامل مع ال
+
+283
+00:21:13,680 --> 00:21:18,000
+vectors بينفعش نقول عشرين صح ولا لأ؟ لازم أشتغل
+
+284
+00:21:18,000 --> 00:21:23,040
+الآن أحلل عشان أشتغل أحلل برجعبقول عشان تجمع
+
+285
+00:21:23,040 --> 00:21:27,820
+اكتبلي ال two forces ك vectors يعني بدلانة I and J
+
+286
+00:21:27,820 --> 00:21:32,060
+او K اذا مش موجود مش هيكون عندى يلا نشغل F13 شباب
+
+287
+00:21:32,060 --> 00:21:36,120
+متفقين بدي تحليل ولا لا؟ يلا نحلل بقول هي تحلل
+
+288
+00:21:36,120 --> 00:21:41,080
+اتحرك بدي اتحلل positive X component and positive
+
+289
+00:21:41,080 --> 00:21:46,200
+Y component عشان احلل بدي زاوية صح ولا لا الزاوية
+
+290
+00:21:46,200 --> 00:21:51,780
+هادى خليني نشوفهاطبعا خلّيني اقول زاوية ماليش دعوة
+
+291
+00:21:51,780 --> 00:21:54,500
+فيها انا بدي في الآخر ال cosine تبعها و ال sine
+
+292
+00:21:54,500 --> 00:21:59,080
+تبعها صح ولا لأ هاي زاوية بقدر أقول الآن ان F13
+
+293
+00:21:59,080 --> 00:22:03,700
+بسوية F13 اللي هي ضالعة من 11 11 cosine فيتا
+
+294
+00:22:03,700 --> 00:22:07,920
+باتجاه ال I زائد 11 sine فيتا باتجاه ال J ولا لأ
+
+295
+00:22:07,920 --> 00:22:13,000
+اه هاي الحللنها طلعت هيك مافيش مشكلة ضل علي اجيب
+
+296
+00:22:13,000 --> 00:22:16,320
+cosine فيتا و sine فيتا عشان اجيب cosine فيتا و
+
+297
+00:22:16,320 --> 00:22:20,850
+sine فيتا طلعت فيتا هي نفسها ديمش هي ذاك الزاوية
+
+298
+00:22:20,850 --> 00:22:25,390
+الحمضة التانية بالتقابل بالراس بغض النظر عن أنها
+
+299
+00:22:25,390 --> 00:22:29,910
+تلقى 45 بايت شانس لو ماكنش تعوج أديش الزاوية مش ال
+
+300
+00:22:29,910 --> 00:22:35,230
+cosine هي بيسوي 0.1 على الوطر cosine هي بيسوي 0.1
+
+301
+00:22:35,230 --> 00:22:38,010
+على الوطر لذا أنا مانيش تعوج أديش الزاوية اللي ده
+
+302
+00:22:38,010 --> 00:22:41,430
+هو بالأبعاد انا بدي انا بدي القابل و الوطر و
+
+303
+00:22:41,430 --> 00:22:44,210
+المجاور و الوطر إذا موجودين مانا أديش الزاوية
+
+304
+00:22:44,210 --> 00:22:47,690
+بتعني ميش لإن في خطأ شاية أي زاوية بيغلب فيها
+
+305
+00:22:47,690 --> 00:22:51,760
+الطالب وحطها 45حتى لو ماكنتش 45 لأ الزاوية بدي
+
+306
+00:22:51,760 --> 00:22:55,100
+أجيبها في نهاية من أبعادها لإنها بقت شهص مع طيارة
+
+307
+00:22:55,100 --> 00:22:59,040
+الدفنين 45 طب أتكلم من 45 القصارى والصين بيساوي
+
+308
+00:22:59,040 --> 00:23:03,980
+واحد و بيساوي 0.707 فضال علي مجمرة أكتبهم هيطلعت
+
+309
+00:23:03,980 --> 00:23:09,340
+F13 ك vector زي ما انتوا شايفين لا هي سينية ولا هي
+
+310
+00:23:09,340 --> 00:23:13,100
+صادية it has two components X component and Y
+
+311
+00:23:13,100 --> 00:23:17,990
+component بالنسبة للتانية بدي تحليللأ جاهزة لأ
+
+312
+00:23:17,990 --> 00:23:24,350
+جاهزة after three we have مادهي سارب I السالب مش
+
+313
+00:23:24,350 --> 00:23:27,350
+عشان التنين سالب شباب لأ السالب ان هو تجاه سارب
+
+314
+00:23:27,350 --> 00:23:32,910
+صيني حطي السالب I هيك خلصنا حاجات بدي أجمعبقول
+
+315
+00:23:32,910 --> 00:23:38,190
+القوة القليلة على F3 بيسوي مجموع القوتين صح ولا
+
+316
+00:23:38,190 --> 00:23:44,870
+لأ؟ فبتصير Now the resultant force acting on Q3 is
+
+317
+00:23:44,870 --> 00:23:49,250
+the vector sum of the two forces سهل أصير جمعته في
+
+318
+00:23:49,250 --> 00:23:53,950
+vector الشباب جسدنا سهل أبتصير بعد كده F3 بتسوي
+
+319
+00:23:53,950 --> 00:23:59,490
+F13 plus F23 وكنا بنعرف نجمع في vectors من يجمعهم
+
+320
+00:23:59,490 --> 00:24:05,010
+ال I مع ال I و ال J مع ال Jبتطلع عندى minus 1.1 I
+
+321
+00:24:05,010 --> 00:24:11,250
+plus 7.9 J نيوتن صحيح يا شباب؟ في اي مشكلة؟ في اي
+
+322
+00:24:11,250 --> 00:24:13,810
+تعليق اي استفسار على السؤال احكي
+
+323
+00:24:17,250 --> 00:24:21,270
+طبعا يعني هو عادى أسئلة من أسئلة كتير مشهورة في
+
+324
+00:24:21,270 --> 00:24:24,530
+الكتاب و في الامتحانات ايش هيتغير زى ماعاكى عامة
+
+325
+00:24:24,530 --> 00:24:27,570
+اما هيتغير الأزرق محل الأحمر و الأحمر محل الأزرق
+
+326
+00:24:27,570 --> 00:24:30,770
+او المثلث بدل ما هو قائم ازاى يعمل ايه متساول
+
+327
+00:24:30,770 --> 00:24:34,590
+اضلاع متساول الساقين ازاى ماستين و تلاتين ممكن
+
+328
+00:24:34,590 --> 00:24:37,570
+يجيبلي اربع شحنات محطتين عرص مربع و لا مرعرص
+
+329
+00:24:37,570 --> 00:24:40,270
+مستاطيل فى النهاية بيكون عندى في هذه الحالة تلاتة
+
+330
+00:24:40,270 --> 00:24:45,550
+forces صح ولا لأ اذا هاي العامر علينامجرد شغلات زي
+
+331
+00:24:45,550 --> 00:24:48,770
+هيك ان انا اول حاجة بدي احدد ال direction of the
+
+332
+00:24:48,770 --> 00:24:52,350
+forces on the diagram عن الرسمة وبعد كده اجيب ال
+
+333
+00:24:52,350 --> 00:24:55,170
+magnitudes و بعد ما اجيب ال magnitude و ال
+
+334
+00:24:55,170 --> 00:24:58,770
+direction انا محدده اكتب ال forces ك vectors عشان
+
+335
+00:24:58,770 --> 00:25:02,710
+اجمع صح شبان ..بالناس نقلطوا نجمعهم ك scalars لان
+
+336
+00:25:02,710 --> 00:25:07,010
+هذه a very big mistake انه اجمع ك scalar غلطة
+
+337
+00:25:07,010 --> 00:25:10,450
+لاتختفربنفعش نقول والله تسعة واحد عشان عشان عشان
+
+338
+00:25:10,450 --> 00:25:11,490
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+339
+00:25:11,490 --> 00:25:11,710
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+340
+00:25:11,710 --> 00:25:12,030
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+341
+00:25:12,030 --> 00:25:14,530
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+342
+00:25:14,530 --> 00:25:14,550
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+343
+00:25:14,550 --> 00:25:15,110
+عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان
+
+344
+00:25:15,110 --> 00:25:26,790
+عشان عشان عشان عشان عشان عشان
+
+345
+00:25:26,790 --> 00:25:35,930
+عشان
+
+346
+00:25:36,370 --> 00:25:40,670
+نشوف إيش جاهز بيقول الـ Q1 equal plus 15
+
+347
+00:25:40,670 --> 00:25:46,470
+microcoulomb at x equal 2 meter مديني بعضها و كأنه
+
+348
+00:25:46,470 --> 00:25:50,390
+بيعمللي على ال x axis يعني تمام ال Q2 equal 6
+
+349
+00:25:50,390 --> 00:25:53,250
+microcoulomb at the origin و Q2 محطوطة في منطقة
+
+350
+00:25:53,250 --> 00:26:00,760
+الاصل and Q3 at xطبعا الـ Q3 لم يديكم مقدارها ولا
+
+351
+00:26:00,760 --> 00:26:03,780
+نوحها صح ولا لأ تمام بصراحة بصراحة ما زال مش مدينة
+
+352
+00:26:03,780 --> 00:26:05,820
+نوحها ممكن اعتبرها positive ممكن اعتبرها negative
+
+353
+00:26:05,820 --> 00:26:10,800
+صح ولا لأ تمامإذا كانت قوة الإلكتريكية المتواجدة
+
+354
+00:26:10,800 --> 00:26:21,400
+في الـ Q3 صحيحًا، إذا كانت قوة الإلكتريكية
+
+355
+00:26:21,400 --> 00:26:22,400
+المتواجدة في الـ Q3 صحيحًا، إذا كانت قوة
+
+356
+00:26:22,400 --> 00:26:22,720
+الإلكتريكية المتواجدة في الـ Q3 صحيحًا، إذا كانت
+
+357
+00:26:22,720 --> 00:26:22,840
+قوة الإلكتريكية المتواجدة في الـ Q3 صحيحًا، إذا
+
+358
+00:26:22,840 --> 00:26:23,080
+كانت قوة الإلكتريكية المتواجدة في الـ Q3 صحيحًا،
+
+359
+00:26:23,080 --> 00:26:23,540
+إذا كانت قوة الإلكتريكية المتواجدة في الـ Q3
+
+360
+00:26:23,540 --> 00:26:26,520
+صحيحًا، إذا كانت قوة الإلكتريكية المتواجدة في الـ
+
+361
+00:26:26,520 --> 00:26:30,230
+Q3 صحيحًا، إذا كانت قوة الإلكتريكية المبسيطة،
+
+362
+00:26:30,230 --> 00:26:33,690
+المعطى صار مطلوب و المطلوب صار معطى، مش أكتر بس
+
+363
+00:26:33,690 --> 00:26:37,190
+أول نص من الرسمة، الرسمة من طبيعة الأسنان، هي
+
+364
+00:26:37,190 --> 00:26:40,530
+التلات شحنات طبعا اللي في النص أنا حطتها سالب عشان
+
+365
+00:26:40,530 --> 00:26:43,450
+نغير هال .. هالألوان، يعني الصور في حلوة ألوان،
+
+366
+00:26:43,450 --> 00:26:47,050
+لأنه التالتة ما جاليش سالبة هو، صح ولا لا؟ ممكن
+
+367
+00:26:47,050 --> 00:26:49,710
+تحطها موجيبة، ممكن تحطها سالبة، أنا اختارت سالبة،
+
+368
+00:26:49,710 --> 00:26:52,550
+تمام؟ اللي أنا .. التنتين الأولانية هو دانياهم
+
+369
+00:26:52,550 --> 00:26:55,590
+positive، الأولانين التنتين الحمر هو دانياهم،
+
+370
+00:26:55,590 --> 00:26:57,730
+التالتة عشان ماصارش كله حمر، قلنا نخليها زرجة
+
+371
+00:27:00,590 --> 00:27:04,230
+استنى شوية خلّيني اشوف انا و اياك طبعا قعدنا نشوف
+
+372
+00:27:04,230 --> 00:27:08,670
+بقول ي find x اول بصنا نحط ده اللي هي q2 اللي
+
+373
+00:27:08,670 --> 00:27:12,390
+محطوطة عند ال origin صحيح ولا لأ؟ هيها ال q2 و q1
+
+374
+00:27:12,390 --> 00:27:16,950
+شباب ال 15 محطوطة على بُعد جديش؟ two meter طبعا
+
+375
+00:27:16,950 --> 00:27:20,710
+الزرقاء اللي هو q3 اللي اعتبرت ان انا زرقاء تبعد
+
+376
+00:27:20,710 --> 00:27:25,030
+مسافة x فهدا هي هجد هذه q3 هذه المسافة two meter
+
+377
+00:27:25,030 --> 00:27:30,040
+وهذه المسافة xهاجدش المطلوب المعطل عندى بيقولي the
+
+378
+00:27:30,040 --> 00:27:37,360
+net force in q3 is zero اكم force على q3؟ two
+
+379
+00:27:37,360 --> 00:27:42,940
+forces ال force is vector or scalar؟ vector عشان
+
+380
+00:27:42,940 --> 00:27:45,320
+تجمع two vectors يصووا zero بنفع يكونوا بنفس
+
+381
+00:27:45,320 --> 00:27:50,260
+الاتجاه؟لأ غصب عنهم يجب أن يكونوا عكس بعيد يعني
+
+382
+00:27:50,260 --> 00:27:52,860
+حتى لو كانوا متساويات five of five in reverse
+
+383
+00:27:52,860 --> 00:27:57,180
+اتجاه بيطلع عشرة صح او لا لكن عشان يطلع zero بدي
+
+384
+00:27:57,180 --> 00:28:00,240
+واحدة I واتانية سالب I او واحدة J واتانية سالب J
+
+385
+00:28:00,240 --> 00:28:04,380
+صح او لا اذا انا عندي ما زال جالي zero لازم ال two
+
+386
+00:28:04,380 --> 00:28:09,000
+forces يكونوا opposite تمام؟ عشان كده قلت الزرجة
+
+387
+00:28:09,000 --> 00:28:12,620
+هذه لازم تكون في النص وخلنا نشوف هالزرجة ولا لأ لو
+
+388
+00:28:12,620 --> 00:28:20,460
+زرجة ونجيب القوتينهل تنجذب نوعه هادي ولا لا؟ هادي
+
+389
+00:28:20,460 --> 00:28:23,120
+أف واحد تلتا عشان ده اكتبه مافيش اكتب كتير طب و من
+
+390
+00:28:23,120 --> 00:28:27,620
+بالنسبالي هادي؟ عكس بعيد ولا مش عكس بعيد؟ إذا
+
+391
+00:28:27,620 --> 00:28:32,500
+بتظبط معايا نشوف أنت تقول ماينفعش تقول حامرة لأ
+
+392
+00:28:32,500 --> 00:28:36,000
+هال هادي شباب صارت حامرة positive أيه بتوصلين
+
+393
+00:28:36,000 --> 00:28:38,260
+معايا؟ بالنسبالي هادي انت اتنافع طب بالنسبالي
+
+394
+00:28:38,260 --> 00:28:46,540
+هادي؟ برضه صح احكي مشلك فيها؟ مشلك فيها؟فيه، ماشي
+
+395
+00:28:46,540 --> 00:28:50,260
+لك فيها؟ هو ايش المعطب و لا؟ الـ net force عالميا
+
+396
+00:28:50,260 --> 00:28:55,300
+على مين؟ عالمين، zero ع تلاتة، اذا ان انت بتركز ع
+
+397
+00:28:55,300 --> 00:29:00,620
+تلاتة، بديك ال forces on Q3 مالكاش جاوة on Q1 or
+
+398
+00:29:00,620 --> 00:29:06,000
+on Q2، موجودين لكن مالكاش جاوة فيهم، هو واضح؟ اذا
+
+399
+00:29:06,000 --> 00:29:08,740
+معناته الأحمر بظبط و الأزرق بظبط، هو نقول ان انا
+
+400
+00:29:08,740 --> 00:29:12,540
+اخترت الأزرق عشان نغير ألوان، تمام؟ لكن واحد بيقول
+
+401
+00:29:12,540 --> 00:29:16,670
+طب انت حاططها عند X، طب ممكن X تكون هناليش هتبرطها
+
+402
+00:29:16,670 --> 00:29:22,890
+هنا؟ بنفع تكون هاجة زرقة هنا تكلولي
+
+403
+00:29:22,890 --> 00:29:27,970
+بس نص دقيقة، هل في إمكانية القوتين يكونوا عكس بعض؟
+
+404
+00:29:27,970 --> 00:29:33,650
+لأ، مستحيل، بيصيروا، خليها زرقة زي ما هي، لو كانت
+
+405
+00:29:33,650 --> 00:29:37,030
+هاجة زرقة، بيبقى تصير هنا تجاذبية و تانى تجاذبية
+
+406
+00:29:37,030 --> 00:29:41,260
+ولا لأ؟إذا نفسك تجه نقوة تكون P0، صح؟ إذا معناته
+
+407
+00:29:41,260 --> 00:29:45,780
+لازم تكون X في النص، صح ولا لأ؟ لكن لو معطياتي
+
+408
+00:29:45,780 --> 00:29:51,180
+السؤال من أصله بيقول Q1 15 و Q2 سلب 6، مش 6،
+
+409
+00:29:51,180 --> 00:29:55,100
+معناته هذه ممنوع تكون في النص، مظبوط ولا لأ؟ لازم
+
+410
+00:29:55,100 --> 00:30:00,500
+تكون برا، طبعا برا و ان بالظبط بيدح حسب الأرقام و
+
+411
+00:30:00,500 --> 00:30:04,180
+ال magnitude، مظبوط، عشان يتساوىتمام اذا احنا الآن
+
+412
+00:30:04,180 --> 00:30:08,640
+عملنا انه انا اختياره لازرق مجرد هيك مزاج انا ممكن
+
+413
+00:30:08,640 --> 00:30:11,740
+اختارها حمرا عشان كده هو ادانيها Q3 وماجليش
+
+414
+00:30:11,740 --> 00:30:14,920
+positive or negative لانه عارف في الحالتين تظبط
+
+415
+00:30:14,920 --> 00:30:19,020
+معاه تمام هيك؟ تمام اذا انا كيف بده احتياط فهو بده
+
+416
+00:30:19,020 --> 00:30:23,860
+X، X المجهول الوحيد تمام مقولي the two forces
+
+417
+00:30:23,860 --> 00:30:29,560
+acting on Q3 are both attractive صح ولا لأ؟and so
+
+418
+00:30:29,560 --> 00:30:35,820
+opposite عشان كده opposite و هدا هما F1 تلاتة و F2
+
+419
+00:30:35,820 --> 00:30:39,240
+تلاتة صح ولا لأ مازالهم opposite إذا كلامه صح ممكن
+
+420
+00:30:39,240 --> 00:30:42,460
+يكون zero إيش ضال عليا لازم يتساور مش لازم يتساوى
+
+421
+00:30:42,460 --> 00:30:47,260
+لازم يتساوى كفوش opposite و بس لازم يتساوى عشان
+
+422
+00:30:47,260 --> 00:30:53,200
+أجمعهم يطلع zero تمام the net force to be zero
+
+423
+00:30:58,450 --> 00:31:06,030
+أفواح التلاتة يجب أن تكون أكتر
+
+424
+00:31:06,030 --> 00:31:14,970
+من 4 بيكون أكتر من 4 بيكون أكتر من 4 بيكون أكتر
+
+425
+00:31:15,370 --> 00:31:22,430
+بقول F13 بتساوي K Q1 absolute value فى Q3 absolute
+
+426
+00:31:22,430 --> 00:31:26,970
+value over the distance between 1 and 3 square و
+
+427
+00:31:26,970 --> 00:31:32,830
+التانية 2 و 3 K Q2 Q3 over R23 square صحيح الشباب
+
+428
+00:31:32,830 --> 00:31:37,930
+شغال ولا لأ صح صحين معانا تمام هجيت R13 هي قداش
+
+429
+00:31:37,930 --> 00:31:44,910
+بين 1 و 3 شايفين على الرسمة قداش المسافةدى ماقص X
+
+430
+00:31:44,910 --> 00:31:50,590
+لأنه بين واحد واتنين اتنين او بين two and three X
+
+431
+00:31:50,590 --> 00:31:57,850
+اذا المسافة between one and three اللى هى ها دى
+
+432
+00:31:57,850 --> 00:32:03,990
+عبارة عن two minus X صحيح الشجابة ولا لأ؟ and the
+
+433
+00:32:03,990 --> 00:32:08,470
+distance between two and three is X طبعا واضح من
+
+434
+00:32:08,470 --> 00:32:13,810
+الرسمة لان ان K مع K بتعود عنهاتمام و Q3 المجموعة
+
+435
+00:32:13,810 --> 00:32:20,430
+مش مدينيا بلزمني لأ بقول أول K
+
+436
+00:32:20,430 --> 00:32:25,450
+مع K الله سهل عليهم صحيح ولا لأ و Q3 with Q3
+
+437
+00:32:25,450 --> 00:32:31,470
+cancel each other بيهش بيهش عوض الآن عوضنا imply
+
+438
+00:32:31,470 --> 00:32:40,050
+thatQ1 المعطينيها 15 X 10⁻⁶ على 2 minus X² صح ولا
+
+439
+00:32:40,050 --> 00:32:46,710
+لأ equal 6 the magnitude of Q2 على X تربيع خلاص
+
+440
+00:32:46,710 --> 00:32:57,450
+10⁻⁶ with 10⁻⁶ cancel هذي الله سهل عليها هذي بصير
+
+441
+00:32:57,450 --> 00:33:02,210
+2 و هذي بصير 5 مظبوط ولا لأ هذي بصير 4
+
+442
+00:33:08,620 --> 00:33:15,820
+أدربوا دور التبادل بصير 5x2 equal to 8 minus 8x
+
+443
+00:33:15,820 --> 00:33:24,340
+plus 2x تربية فبصير بهذا الشكل رتبها طبعا هذه x
+
+444
+00:33:24,340 --> 00:33:27,880
+تربية و هذه x تربية لما احنا هادي مديها هناك و
+
+445
+00:33:27,880 --> 00:33:32,420
+الرتب كل معادلة فبصير عندى معادلة 3x2 plus 8x
+
+446
+00:33:32,420 --> 00:33:37,000
+minus 8 equal to 0معادلة من الدرجة التانية في
+
+447
+00:33:37,000 --> 00:33:39,880
+معادلة عامة لحلها صح ولا لا طبعا احنا بنعرف ان في
+
+448
+00:33:39,880 --> 00:33:43,520
+بعض المعادلات بنحللها لكن مش قضية حللة متحللة في
+
+449
+00:33:43,520 --> 00:33:46,980
+عندي قانون عام بحيث كل معادلة التبادلية القانون
+
+450
+00:33:46,980 --> 00:33:50,740
+العام مش حافظه بهم مش موجود في كل الكتب تمام بس
+
+451
+00:33:50,740 --> 00:33:54,620
+تعرف ان في قانون عشان تدور عليه اما اذا انا احافظ
+
+452
+00:33:54,620 --> 00:33:58,880
+القانون مش معضلة لو انت كنت نسيه لكن معضلة تقول
+
+453
+00:33:58,880 --> 00:34:02,320
+هذا كيف بنحلالمعادلة لكن لما تعرف انه لأ والله في
+
+454
+00:34:02,320 --> 00:34:05,280
+معادلة بتطلع علي أي كتاب و بلاش علي أي كتاب بقيت و
+
+455
+00:34:05,280 --> 00:34:09,740
+أنت قاعد على ال net و على ال laptop و هو في حضنك
+
+456
+00:34:09,740 --> 00:34:14,060
+تحط second order equation بتطلعلك المعادلة و
+
+457
+00:34:14,060 --> 00:34:16,340
+بيجيبلك إياها و بتجيبها يعني بمعنى أخر بس ليه أعرف
+
+458
+00:34:16,340 --> 00:34:19,700
+انه كيف كانت الحال تحكي ممكن نجيب الجدر الترميه
+
+459
+00:34:19,700 --> 00:34:24,320
+على الطرفين يعني بدون ..
+
+460
+00:34:24,320 --> 00:34:32,060
+إذا بتجيبها مالك حكم المالكة بدون امتحاناتلأ بروح
+
+461
+00:34:32,060 --> 00:34:34,180
+التربيه مع التربيه لما .. ان هو تربيه و اين هو
+
+462
+00:34:34,180 --> 00:34:39,040
+التربيه التالي بتروحه .. اما
+
+463
+00:34:39,040 --> 00:34:41,200
+تبقى بتاخد جزء التربيه اللي هتغلقه .. من فوق و من
+
+464
+00:34:41,200 --> 00:34:43,700
+فوق .. تمام .. اه من أول و من فوق .. اه يعني x
+
+465
+00:34:43,700 --> 00:34:46,300
+بيساوي two minus x بس بتحتاج تاخد جزء التربيه على
+
+466
+00:34:46,300 --> 00:34:49,040
+خمسة أو اتنين .. اه تمام .. اه فكرت ان انت بتلعب
+
+467
+00:34:49,040 --> 00:34:54,160
+في تحت .. اه من أول .. تمام .. خلنا ..عندك محل
+
+468
+00:34:54,160 --> 00:34:58,120
+بتطلع شباب بس طبعا هناك حاجات ينسوا الشغل معايا مش
+
+469
+00:34:58,120 --> 00:35:01,680
+مشكلة بتجيبها إذا انتبهت في عندي حلين شباب طلعوا
+
+470
+00:35:01,680 --> 00:35:04,340
+الحلين إيش بتطلعوهم واحد positive واحد negative
+
+471
+00:35:04,340 --> 00:35:07,960
+طبعا أنتوا عارفين لو كان هذا زمن سلب بترضه ولا لأ
+
+472
+00:35:07,960 --> 00:35:13,860
+لأنه منطقيا مافيش زمن سلبهنا عندي جوابين هدول X X
+
+473
+00:35:13,860 --> 00:35:17,040
+ممكن تكون موجبة وممكن تكون سالبة بحسب رسمتي ال
+
+474
+00:35:17,040 --> 00:35:21,740
+origin هي أول حمره على أيدي الشمال صح ولا لأ؟ لما
+
+475
+00:35:21,740 --> 00:35:25,100
+تقوللي X سالبة معناته وين هذه الزجاجة واجعة؟ على
+
+476
+00:35:25,100 --> 00:35:30,300
+يسار Q2 ولا لأ؟ انت فين كانيها؟ لأ لأ إذا ال
+
+477
+00:35:30,300 --> 00:35:34,680
+second solution is not acceptableليش؟ لأنه هناك ال
+
+478
+00:35:34,680 --> 00:35:37,940
+two forces are in the same direction إذا بيقوللي
+
+479
+00:35:37,940 --> 00:35:41,880
+the second solution اللي هو السالب is not
+
+480
+00:35:41,880 --> 00:35:46,920
+acceptable since at a point to the left لأنه
+
+481
+00:35:46,920 --> 00:35:52,800
+بيقوللي لما تكون x سالبة معناته هنا صارت هاديو هنا
+
+482
+00:35:52,800 --> 00:35:58,180
+لما تكون هذه سلبة بتكون هي قوة والتاني هيها صحيح
+
+483
+00:35:58,180 --> 00:36:02,060
+اللي هنا؟ و هل في هذا الموضوع ممكن الفوز تكون
+
+484
+00:36:02,060 --> 00:36:06,730
+zero؟لا، إذن فالسلوك الثاني ليس مقبولًا، لأن في
+
+485
+00:36:06,730 --> 00:36:11,790
+نقطة نحو الـQ2، الاتصالين ستكون في نفس الاتصال، و
+
+486
+00:36:11,790 --> 00:36:14,090
+لذلك لا يمكن أن يكون هناك نقطة أزرع على الإطلاق،
+
+487
+00:36:14,090 --> 00:36:17,290
+حتى لو كانت مجموعاتها متساومة، إذا ان الجواب
+
+488
+00:36:17,290 --> 00:36:25,810
+الوحيد هو X بساوي 0.78 متر، إذا أنا محددت X، احكي،
+
+489
+00:36:27,540 --> 00:36:31,400
+أه زي ما انا حكيتلك في الأول أنه لو كانت بدل ما
+
+490
+00:36:31,400 --> 00:36:33,680
+تكتب positive واحدة positive واحدة negative إذا
+
+491
+00:36:33,680 --> 00:36:37,400
+لازم الشحنة تكون برا لا positive لا negative إذا
+
+492
+00:36:37,400 --> 00:36:40,480
+في عندي حليل لا positive لا negative لأنه ممكن
+
+493
+00:36:40,480 --> 00:36:45,890
+تكون برا هناصح؟ ماعنده X موجة بقى، طب و برة هنا X
+
+494
+00:36:45,890 --> 00:36:48,750
+سالي بقى، إذا انت تلقي لهم معنى، طبعا بده أطلع
+
+495
+00:36:48,750 --> 00:36:51,090
+عايش لبعنى التاني و أشوف هو صح ولا لأ، إذا ممكن ما
+
+496
+00:36:51,090 --> 00:36:54,570
+زال برة، في الحالتين برة، positive برة، بس بتكون
+
+497
+00:36:54,570 --> 00:36:57,510
+أكثر من 2، عايش أن تكون برة، X لازم تكون two point
+
+498
+00:36:57,510 --> 00:37:00,890
+كذا أو أربعة أو سالب، حتى لو سلب أو point one،
+
+499
+00:37:00,890 --> 00:37:04,750
+ممكن تكون، إذا ممكن الحالين يكونهم معنى فيزيائي،
+
+500
+00:37:04,750 --> 00:37:06,570
+كنت عليها؟ تمام، غيره؟
+
+501
+00:37:12,530 --> 00:37:16,810
+لأ، سنة شوية، وقتش بتكون بالنص في الظابط، بينهم
+
+502
+00:37:16,810 --> 00:37:21,210
+جزاك، براو عليك، لكن وقتش بتكون بالنص في الظابط،
+
+503
+00:37:21,210 --> 00:37:27,790
+لما يكون التثريتين متساويات، أه مزالك
+
+504
+00:37:27,790 --> 00:37:31,790
+تنتين متشابهات، مش متشابهات بالضرورة، مش متشابهات،
+
+505
+00:37:31,790 --> 00:37:34,990
+متشابهات، يعني لو تبتد صليبات تفس القضية، بتكون
+
+506
+00:37:34,990 --> 00:37:37,650
+الشخص التالتة في النص، مش في النص بالظبط، in
+
+507
+00:37:37,650 --> 00:37:41,190
+between يعني، in between في النص، تمام، أقرأأما
+
+508
+00:37:41,190 --> 00:37:44,570
+لما يكونوا الشحنتين opposite بيكون الشحنة التالتة
+
+509
+00:37:44,570 --> 00:37:47,850
+عشان تكون ال equilibrium برا طبعا على يمين ولا على
+
+510
+00:37:47,850 --> 00:37:51,470
+يسار بيعتمد على ال magnitude تمام لما تكون أجرب
+
+511
+00:37:51,470 --> 00:37:56,630
+لان كبيرة صغيرة مع صغيرة أجرب لصغيرة صحيح تبع
+
+512
+00:37:56,630 --> 00:38:03,310
+السؤال الآخر هذا سؤال عادي جرات أن ال force is
+
+513
+00:38:03,310 --> 00:38:09,040
+given and we find the distance مش أكترتمام احنا
+
+514
+00:38:09,040 --> 00:38:12,780
+حكينا في البداية ان الـelectric force is a force
+
+515
+00:38:12,780 --> 00:38:16,300
+ايش يعني force؟ يعني نطبق عليها جميع قوانين
+
+516
+00:38:16,300 --> 00:38:19,860
+الـNewton صح ولا لا؟ بدأ موهاجي المعلومة عشان ما
+
+517
+00:38:19,860 --> 00:38:25,260
+اتضلاش هيكي زمائية مجردة جلي بدي ارجعك لفيزي ألف
+
+518
+00:38:25,260 --> 00:38:30,120
+بسؤال واطبق عليها قوانين الـNewton فهي السؤال
+
+519
+00:38:30,120 --> 00:38:35,030
+التالت ايش السؤال التالت بيقول؟يقولي two identical
+
+520
+00:38:35,030 --> 00:38:39,870
+charge spheres كورتين شباب لكن هذين الكورتين ليس
+
+521
+00:38:39,870 --> 00:38:44,840
+عندهidentical يعني لهم نفس الحاجة نفس الكتلة نفس
+
+522
+00:38:44,840 --> 00:38:50,100
+الشحنة كل حاجة identical each of mass thirty gram
+
+523
+00:38:50,100 --> 00:38:54,780
+تلاتين جرام and its charge Q كل واحدة فيهم شحناتها
+
+524
+00:38:54,780 --> 00:39:00,720
+Q زي بعض يعني are hanged in equilibrium ومعلجين
+
+525
+00:39:00,720 --> 00:39:07,070
+ومتزنين الاتزان أخدناه له شروطهوالشروط التلاتة
+
+526
+00:39:07,070 --> 00:39:11,570
+تبعته ان the sum of f x equal to zero the sum of f
+
+527
+00:39:11,570 --> 00:39:14,410
+y equal to zero and the torque about any point
+
+528
+00:39:14,410 --> 00:39:19,110
+must be zero صح ولا لأ تمام نرسم الرسمة بقول the
+
+529
+00:39:19,110 --> 00:39:22,330
+length of each string طبعا مربطين بحبل هدول
+
+530
+00:39:22,330 --> 00:39:27,790
+الكورتين طول كل حبل 0.15 متر والزاوية اللي بيعملها
+
+531
+00:39:27,790 --> 00:39:33,740
+الحبل خمس درجات هدا هي هاي الكورتين الحمرطبعا كمان
+
+532
+00:39:33,740 --> 00:39:37,740
+مرة ممكن يكونوا تنتين زرق؟ ممكن ممكن تكونوا واحدة
+
+533
+00:39:37,740 --> 00:39:40,380
+حمرا و واحدة زرقا و تكونوا معالجين هناك؟ لأ لأ لأ
+
+534
+00:39:40,380 --> 00:39:43,820
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+535
+00:39:43,820 --> 00:39:44,240
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+536
+00:39:44,240 --> 00:39:44,480
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+537
+00:39:44,480 --> 00:39:45,540
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+538
+00:39:45,540 --> 00:39:47,300
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ ل
+
+539
+00:39:51,000 --> 00:39:54,400
+هدول in equilibrium طول الحابلين و الصمم الحابلين
+
+540
+00:39:54,400 --> 00:39:58,220
+و الخطوط هدول الملجطين مسافات مش أكتر الزاوية بعد
+
+541
+00:39:58,220 --> 00:40:02,620
+ما اتنافروا طبعا هم اتنافروا لأنهم متشابهات بعد ما
+
+542
+00:40:02,620 --> 00:40:06,060
+اتنافروا مالونهم زاوية جاس الزاوية لجوها five
+
+543
+00:40:06,060 --> 00:40:10,310
+degreeجيلي او جيت شحنة هذه القرار طبعا اي واحدة
+
+544
+00:40:10,310 --> 00:40:14,290
+منهم ممكن تهم qq مظبوط ولا لأ عشان اشتغل وفيه
+
+545
+00:40:14,290 --> 00:40:17,170
+equilibrium بدي ارسم ال free body diagram صح ولا
+
+546
+00:40:17,170 --> 00:40:20,910
+لأ عشان اقول the sum of fx و the sum of fy بدي ال
+
+547
+00:40:20,910 --> 00:40:25,910
+forces لأ لأ نرسم و نحل بقول هذي خلّي المسافة 2A
+
+548
+00:40:25,910 --> 00:40:30,950
+عشان انه هذي ايه شباب من هالهد و هذي ايه يعني هي
+
+549
+00:40:30,950 --> 00:40:38,130
+ايه و هذي ايهماشي طبعا a بقدر اجيبها لان sin θ
+
+550
+00:40:38,130 --> 00:40:46,810
+بتسوي a على o.15 ولا لأ sin θ بتسوي a over o.15
+
+551
+00:40:46,810 --> 00:40:54,630
+يعني من هنا a بتسوي o.15 في sin θ وثمانية هي five
+
+552
+00:40:54,630 --> 00:40:57,750
+اذا a ممكن اجيبها يعني انا مش فاكر ايش بدنا ايها
+
+553
+00:40:57,750 --> 00:41:03,490
+تمامهلجيت بقول لي let it is enough to study the
+
+554
+00:41:03,490 --> 00:41:06,050
+equilibrium state of one of the spheres بدي انا
+
+555
+00:41:06,050 --> 00:41:09,670
+اركز على واحدة من ال sphere بتكفيني ال free body
+
+556
+00:41:09,670 --> 00:41:11,950
+diagram of the left sphere ال left sphere اللي
+
+557
+00:41:11,950 --> 00:41:15,930
+هناك ركزوا عليها و نشوف إيش عليها قوة الشباب طبعا
+
+558
+00:41:15,930 --> 00:41:19,610
+احنا في زيالة كنا أول قوة ما ننساهاش الشيا الوزن
+
+559
+00:41:19,610 --> 00:41:24,050
+صح ولا لأ كيف اتجاه الوزن directly downward صحيح
+
+560
+00:41:24,050 --> 00:41:25,390
+إلى أسفل يلا نرسم
+
+561
+00:41:28,500 --> 00:41:32,720
+high lift sphere high mg صح ولا لأ؟ زي ما حكت
+
+562
+00:41:32,720 --> 00:41:36,840
+منكم، في شد، في حبل، مبين، طبعا؟ ال normal force
+
+563
+00:41:36,840 --> 00:41:40,680
+منينها؟ ليش؟ ليش ال normal force هي؟ محطوطة على
+
+564
+00:41:40,680 --> 00:41:46,120
+سطح هي؟ ولا معلجة؟ ال normal force due to a
+
+565
+00:41:46,120 --> 00:41:50,260
+surface، we don't have any surface here، طبعا؟ ال
+
+566
+00:41:50,260 --> 00:41:54,820
+T زي ما انتوا شايفينه، سيني ولا صاضي؟نحن لدينا 2
+
+567
+00:41:54,820 --> 00:41:58,900
+جزئين و بالتالي بدي تحليل ايش القوة الجديدة اللي
+
+568
+00:41:58,900 --> 00:42:03,120
+اتت عليها؟ ايش اللي خلّاه يبعد عن بعضنا؟ نحن لدينا
+
+569
+00:42:03,120 --> 00:42:08,320
+قوة إلكتريكية، فهي القوة التالتة الجديدة اللي اتت
+
+570
+00:42:08,320 --> 00:42:11,960
+عندي وهي القوة المسؤولة انهم يبعدوا عن بعضهم، وانه
+
+571
+00:42:11,960 --> 00:42:16,170
+طبيعتهم يعالجهم يكونوا ملازجين بعضصح ولا لأ؟ إذن
+
+572
+00:42:16,170 --> 00:42:19,910
+هذه الـ three forces acting on any of the two
+
+573
+00:42:19,910 --> 00:42:23,910
+spheres تمى؟ عشان أطبق الآن بالدي أو we have to
+
+574
+00:42:23,910 --> 00:42:29,750
+resolve the tension هاي تحليله طبعا واضح عنكم اللي
+
+575
+00:42:29,750 --> 00:42:34,610
+الشد هنا هو نفسه هذه الزاوية ولا لأ؟ إذن هذي فيتا
+
+576
+00:42:34,610 --> 00:42:40,750
+ولا مفيتا؟ بالتبادل صحيح ولا لأ؟ طيب إذن عشان أحلي
+
+577
+00:42:40,750 --> 00:42:45,380
+بدي أقول T كصينة فيتا ولا لأ؟و هنا T sin θ راحة ال
+
+578
+00:42:45,380 --> 00:42:52,700
+T تحلنا الان بدي اطبق شرطي التوازن بقول applying
+
+579
+00:42:52,700 --> 00:42:58,480
+the equilibrium condition we obtain أول واحدة the
+
+580
+00:42:58,480 --> 00:43:01,280
+sum of F x equal to zero this is the first
+
+581
+00:43:01,280 --> 00:43:06,040
+condition of equilibrium هجد أكم قوة سينية موجودين
+
+582
+00:43:06,040 --> 00:43:12,190
+شبابوحدة موجبة وحدة سلبة و لا لا تي صين الزاوية
+
+583
+00:43:12,190 --> 00:43:17,750
+minus fe equal to zero و لا لا بمعنى آخر تي صين
+
+584
+00:43:17,750 --> 00:43:26,330
+الثيتا equal fe هاي أول معادلة تمام المعادلة
+
+585
+00:43:26,330 --> 00:43:30,830
+التانية اللي هي ال y components must be zero fy
+
+586
+00:43:30,830 --> 00:43:36,390
+the sum of fy must equal to zero again we have two
+
+587
+00:43:38,170 --> 00:43:41,710
+Force is in the Y-direction T cos θ positive and
+
+588
+00:43:41,710 --> 00:43:47,870
+Mg is negative بمعنى أخر Mg equal T cos θ الشباب
+
+589
+00:43:47,870 --> 00:43:52,890
+واضح؟ متابعين معاه؟ تمام؟ حلو؟ هذي T ماديليش
+
+590
+00:43:52,890 --> 00:43:59,010
+قيمتها Mg أعطاني M و G بعرفها صح ولا لأ؟ F E مخبى
+
+591
+00:43:59,010 --> 00:44:03,670
+جواها Q اللي بديهاه صح ولا لأ؟ الـQ جوا F E لإن هو
+
+592
+00:44:03,670 --> 00:44:09,050
+بده Q خلاص إذا أنا مش لازم اتT بديش ياهو مش معطية
+
+593
+00:44:09,050 --> 00:44:13,390
+sin θ معطية جسم المعادلة بينها على بعض divide
+
+594
+00:44:13,390 --> 00:44:16,050
+equation one and two بتروح ال T و لا بتروحش ال T
+
+595
+00:44:16,050 --> 00:44:20,690
+ممكن تفسر قمة T من المعادلة التانية تظبط بس عاجبك
+
+596
+00:44:20,690 --> 00:44:25,360
+تشيل في هالشغل أسهل لها طبعا طريقةلما اجسم one
+
+597
+00:44:25,360 --> 00:44:28,520
+over two بتطلع عندى تانى الزاوية و لا لأ و بتصير F
+
+598
+00:44:28,520 --> 00:44:32,500
+E على M G dividing equation one by equation two we
+
+599
+00:44:32,500 --> 00:44:38,740
+obtain صار عندى تانى الزاوية بتساوي F E على M G F
+
+600
+00:44:38,740 --> 00:44:44,240
+E بتساوي M هدى في خطأ هنا تلاتين في عشر و نصر
+
+601
+00:44:44,240 --> 00:44:48,660
+بتلاتة يعني إما بتعملوا هدى و بتجيبوا هدى أو
+
+602
+00:44:48,660 --> 00:44:51,140
+بتكليوها تلاتين في عشر و نصر بتلاتة لإن أنا بتحول
+
+603
+00:44:51,140 --> 00:44:54,740
+اجرام ل kilogram شباب تمامالخطأ المطبعي هو 30 في
+
+604
+00:44:54,740 --> 00:45:01,220
+10 أقل سالب 3 درب
+
+605
+00:45:01,220 --> 00:45:06,060
+G 9.8 في تان ال 5
+
+606
+00:45:08,570 --> 00:45:14,690
+بيطلع ال 2.6 X 10⁻² لـ Newton هذي F E طيب F E كلوم
+
+607
+00:45:14,690 --> 00:45:20,390
+حكاري إنه تساوي K Q1 في Q2 على مربع المسافة اللي
+
+608
+00:45:20,390 --> 00:45:24,550
+بينهم ولا لأ طبعا خلينا نرجع The magnitude of the
+
+609
+00:45:24,550 --> 00:45:27,490
+electric force F E is obtained from columns low as
+
+610
+00:45:27,490 --> 00:45:31,310
+هذه المسافة لزمتني الآن إيه يا شباب هل المسافة بين
+
+611
+00:45:31,310 --> 00:45:38,790
+ال 2 charges هي ال 0.15 متر لأ ولا هي ال 2Aوانا
+
+612
+00:45:38,790 --> 00:45:42,230
+اتنين a جبتها هي ال a موجودة صحيح ولا لأ اذا
+
+613
+00:45:42,230 --> 00:45:47,930
+المعناته fe بتسوى k اكيو فكيو صارت كيو تربيع مظبوط
+
+614
+00:45:47,930 --> 00:45:51,530
+ولا لأ على ار تربيع طبعا زي ما حكيناه اتنين حمر او
+
+615
+00:45:51,530 --> 00:45:53,710
+اتنين زرق مفرجش معايا انا مااخدت absolute value في
+
+616
+00:45:53,710 --> 00:45:57,430
+الآخر تمام؟ وبالتالي خليت ال absolute value موجودة
+
+617
+00:45:57,430 --> 00:46:07,790
+تمام knowing that R هي اتنين aو a is equal to 0.15
+
+618
+00:46:07,790 --> 00:46:19,250
+sin 5 و طلعت 0.013 و طبق و we get q إجازة تربيعي
+
+619
+00:46:19,250 --> 00:46:23,470
+هادي في هادي على هادي صح ولا لأ طلعتها طلعت 4.4
+
+620
+00:46:23,470 --> 00:46:28,010
+10⁻8 كلهم طبعا positive or negative مابتعننيش أنا
+
+621
+00:46:28,010 --> 00:46:30,210
+ما جاي بال absolute value ممكن التنتين يكونوا
+
+622
+00:46:30,210 --> 00:46:34,650
+positive و ممكن التنتين يكونوا negativeطبعا شباب
+
+623
+00:46:34,650 --> 00:46:40,810
+في ISA اذا ان انا حليت تلت امثلة مختلفة على ال
+
+624
+00:46:40,810 --> 00:46:47,550
+forces الشغل الشائعة انه يديك pointy charges ويطلب
+
+625
+00:46:47,550 --> 00:46:51,490
+منك حساب ال force على واحدة منهم هذا المثال الأول
+
+626
+00:46:51,490 --> 00:46:55,150
+وهو الشائعة الشغل التاني ممكن يلعب بالأسئلة انه
+
+627
+00:46:55,150 --> 00:46:59,360
+يقولك والله انا في عندي شحنةالـ net force عليها
+
+628
+00:46:59,360 --> 00:47:02,660
+مُعطَزِرُ أو أي مقدار، ودي بلي مسافات، في النهاية
+
+629
+00:47:02,660 --> 00:47:06,060
+نفس المبدأ، أنا بجيب forces و بجمعهم و بجيبهم
+
+630
+00:47:06,060 --> 00:47:11,020
+قيمتهم مجددش الشغل التالتة أن هذه ال force ينطبق
+
+631
+00:47:11,020 --> 00:47:15,230
+عليها قوانين النيوتن التلاتةوبالتالي بدأت تتحرك
+
+632
+00:47:15,230 --> 00:47:20,270
+يسكن فيها اتزان تتزن مع الشد تتزن مع Mg كلها
+
+633
+00:47:20,270 --> 00:47:26,110
+بتنجمع مع all the kind of forces مع friction مع Mg
+
+634
+00:47:26,110 --> 00:47:29,870
+مع tension مع normal force أي إن كانت ال force
+
+635
+00:47:29,870 --> 00:47:32,970
+موجودة ما هي force واحدتها نيوتن with a vector
+
+636
+00:47:32,970 --> 00:47:36,410
+quantity زيها زي أي force و اتعاملنا ان كيف ممكن
+
+637
+00:47:36,410 --> 00:47:40,890
+نتعامل معاها بنفس شغل physics a ال mechanics و
+
+638
+00:47:40,890 --> 00:47:48,970
+اتعامل معاها بهذه الكيفيةتمام عنواننا الجديد هيكون
+
+639
+00:47:48,970 --> 00:47:54,510
+المجال الكهربائي electric field electric field
+
+640
+00:47:54,510 --> 00:47:59,070
+كلمة field مرت علينا بمجال الجذب العادل مجال
+
+641
+00:47:59,070 --> 00:48:04,450
+الجاذبية الأرضية عشان نسمع فيها هيكون كل جسم بتأثر
+
+642
+00:48:04,450 --> 00:48:08,880
+في جاذبية الأرض حتى لو ماكانش في مجالهاإذا لازم
+
+643
+00:48:08,880 --> 00:48:14,220
+يكون في مجالها صح ولا لا طيب حكينا توي انه انا في
+
+644
+00:48:14,220 --> 00:48:26,780
+عندى هنا Q1 و هنا Q2 حاجة Q2 تتأثر بـ Q1 بقوة صح
+
+645
+00:48:26,780 --> 00:48:32,360
+ولا لا حلو الـ Q2 ابعدها شوية هتخفر التأثير صح ولا
+
+646
+00:48:32,360 --> 00:48:35,200
+لا ابعدها كمان شوية ممكن بعض اللحظة يكون التأثير
+
+647
+00:48:35,200 --> 00:48:39,940
+يسوي 0لما تبقى J وصير صفر بقول الـQ2 بطل اتوقع في
+
+648
+00:48:39,940 --> 00:48:46,620
+مجال الـQ1 صح ولا لأ؟ اذا الـQ2 هادى عشان تتأثر
+
+649
+00:48:46,620 --> 00:48:52,440
+بـQ1 لابد انها تقع في مجالها صح ولا لأ؟ يعني كل
+
+650
+00:48:52,440 --> 00:48:57,870
+شحنة لها مجالكل شحنة إلها مجال هذا المجال ما هوش
+
+651
+00:48:57,870 --> 00:49:01,250
+مجال جاذب زي جاذبية أرضية مجال كهربائي لأنه بدي
+
+652
+00:49:01,250 --> 00:49:05,150
+تتأثر بقوة مش قوة جاذب قوة قهربية إذا هذا المجال
+
+653
+00:49:05,150 --> 00:49:09,510
+بسميه مجال كهربائي إذا الآن في عند كمية جيدة شباب
+
+654
+00:49:09,510 --> 00:49:13,310
+بدي نتعرف عليها هي المجال الكهربائي or the
+
+655
+00:49:13,310 --> 00:49:15,730
+electric field بنبدأ بالتالي
+
+656
+00:49:18,610 --> 00:49:23,030
+بيقولي any charge has its own electric field
+
+657
+00:49:23,030 --> 00:49:27,950
+within a region surrounding that charge يعني أنا
+
+658
+00:49:27,950 --> 00:49:32,030
+كل شحنقلها مجالها المجال تبعها بيكون بعيد عنها ولا
+
+659
+00:49:32,030 --> 00:49:35,850
+حواليهاحواليها، يعني في المنطقة اللي هو فيها، شحنة
+
+660
+00:49:35,850 --> 00:49:38,470
+موجودة في غزة، مجالها مش هيكون في قانوني، في غزة،
+
+661
+00:49:38,470 --> 00:49:42,630
+حواليها، صح ولا لأ؟ ثم هيتحدى مجالها اللي في غزة،
+
+662
+00:49:42,630 --> 00:49:45,870
+بدي يصل جباليا أو بدي يصل بس باب الجامعة، بعتمد
+
+663
+00:49:45,870 --> 00:49:49,390
+على شغلات كتيرة، صح ولا لأ؟ كل ما كبرت الشحنة، كل
+
+664
+00:49:49,390 --> 00:49:52,770
+ما المجال تبح بكبر، هذا المنطق، صح ولا لأ؟ إذا في
+
+665
+00:49:52,770 --> 00:49:57,350
+مجال، هجيت أي شحنة غريبة تجعل في المجال، بيأثر
+
+666
+00:49:57,350 --> 00:50:01,190
+بيها، صح ولا لأ؟ كيف أنا بدي أعرف إن في الغرفة هذه
+
+667
+00:50:01,190 --> 00:50:04,270
+في مجال كهربائي ولا لأ؟ايه هسوي؟
+
+668
+00:50:07,140 --> 00:50:11,240
+بدي أجيب شحنة خارجية و أحطها في هالغرفة اتحركت
+
+669
+00:50:11,240 --> 00:50:14,620
+بقولوا إيه إيش الحركة في مجال كهربائي صح ولا لأ و
+
+670
+00:50:14,620 --> 00:50:17,060
+الله وإيه ما حطيتها ضلت قاعدة و ساقتة و عاجلة بقول
+
+671
+00:50:17,060 --> 00:50:20,380
+ماعرفت مافيش حاجة أثر عليها مافيش مجال كهربائي إذن
+
+672
+00:50:20,380 --> 00:50:23,440
+أنا بقدر أفحص إنه في مجال أو مافيش مجال إن أشوف
+
+673
+00:50:23,440 --> 00:50:27,400
+القوة الشحنة الغريبة تتحرك أو ماتتحركش يعني عليها
+
+674
+00:50:27,400 --> 00:50:31,600
+قوة كهربية و أنا ماعليهاش قوة كهربية إذن المجال
+
+675
+00:50:31,600 --> 00:50:36,740
+بعرفه بقوة إنه في قوة على شحنة غريبة ولا مافيش قوة
+
+676
+00:50:36,910 --> 00:50:40,110
+هذا اللي بنتعامل معه و احنا عارفين دائما الشغل
+
+677
+00:50:40,110 --> 00:50:44,610
+الجديدة لازم تعرف بشغل انا عارفها و انا الشغل
+
+678
+00:50:44,610 --> 00:50:47,190
+الوحيد حتى اللي انا عارفها هي القوة الكهربية صح
+
+679
+00:50:47,190 --> 00:50:50,230
+ولا لأ؟ بالتالي لابد من تعريف المجال الكهربائي
+
+680
+00:50:50,230 --> 00:50:55,310
+بدلالة القوة الكهربية تمام، أنا عارف هاي بتعريف
+
+681
+00:50:55,310 --> 00:51:00,270
+بيقولي the electric field رمزه E شباب ال force ايش
+
+682
+00:51:00,270 --> 00:51:05,070
+رمزها؟الكمية الجديدة رمزها E طبعا ما زالت دوها رمز
+
+683
+00:51:05,070 --> 00:51:09,010
+مختلف إذا ان هي كمية مختلفة ماهياش force the
+
+684
+00:51:09,010 --> 00:51:13,290
+electric field E و E is a board عشان يديني دلالة
+
+685
+00:51:13,290 --> 00:51:16,010
+إن هذه الكمية الفيزيائية الجديدة vector ولا scalar
+
+686
+00:51:16,010 --> 00:51:23,770
+ال board لمن نعطيه لل vectorال bold الرمز معناته
+
+687
+00:51:23,770 --> 00:51:28,090
+الكمية اللي رمزها bold معناته vector بدل ما نكتب
+
+688
+00:51:28,090 --> 00:51:32,830
+في الكتابة بنكتب E و بنحط هيك صح ولا لا هذه vector
+
+689
+00:51:32,830 --> 00:51:36,530
+واتفقنا في الكتب بطلوا يحطوا هذه الشغلة اعتمدوا ال
+
+690
+00:51:36,530 --> 00:51:43,620
+boldThe vector field E at a point، عند نقطة ما،
+
+691
+00:51:43,620 --> 00:51:46,140
+طبعا إحنا ما حكينا إنه في عندي، أنا هنا شحنة،
+
+692
+00:51:46,140 --> 00:51:48,860
+مانعتها هنا في مجال، و هنا في مجال، و هنا في مجال،
+
+693
+00:51:48,860 --> 00:51:52,240
+و هنا في مجال، صح ولا لأ؟ طبعا بختلف شدة المجال من
+
+694
+00:51:52,240 --> 00:51:55,160
+نقطة لنقطة، كل ما ابعدت كل ما المجال جالب، كل ما
+
+695
+00:51:55,160 --> 00:51:58,440
+قربت كل ما المجال زاد، إذا أنا بقيس المجال عند
+
+696
+00:51:58,440 --> 00:52:02,070
+نقطة ما، حاجات أنا هنافي مجال ولا مافيش مجال؟ إيش
+
+697
+00:52:02,070 --> 00:52:05,850
+بنسوي؟ بنجيب شحنة ونحطها هنا، صح ولا لأ؟ اتحركت،
+
+698
+00:52:05,850 --> 00:52:08,910
+بقول في مجال، مااتحركتش، بقول مافيش مجال، مشكلة
+
+699
+00:52:08,910 --> 00:52:12,430
+اتفقنا؟ إذا كيف بدي أعرف؟ بيقول الـelectric field
+
+700
+00:52:12,430 --> 00:52:16,770
+E at a point in space في الفرق is a vector
+
+701
+00:52:16,770 --> 00:52:20,160
+quantityإذا الكمية اللي بتعرف عليها is a vector
+
+702
+00:52:20,160 --> 00:52:25,320
+quantity defined as تعرف علي إنها the electric
+
+703
+00:52:25,320 --> 00:52:31,300
+force القوة القهربية التي تؤثر acting on a
+
+704
+00:52:31,300 --> 00:52:36,120
+positive small tested charge q0قالوا هذه الـ
+
+705
+00:52:36,120 --> 00:52:38,780
+charge اللي بتعمل عليها test عشان انا بدي أعرف
+
+706
+00:52:38,780 --> 00:52:42,320
+تعريف common كل الناس تكون متفقة عليه قالوا يا
+
+707
+00:52:42,320 --> 00:52:45,700
+علماء نتفق ال test is charge خلّيه positive بديش
+
+708
+00:52:45,700 --> 00:52:48,560
+حد يقولي بدي أجيبلي شحنة صالبة اعمل test عليها مش
+
+709
+00:52:48,560 --> 00:52:52,880
+هتفقنا عشان انا اعمل test انه if we have an
+
+710
+00:52:52,880 --> 00:52:56,440
+electric field or not we have to test on a tested
+
+711
+00:52:56,440 --> 00:52:59,200
+charge بدي أجيب شحنة طبعا الشحنة ممكن تكون
+
+712
+00:52:59,200 --> 00:53:01,440
+positive وممكن تكون negative عشان يصيحي common
+
+713
+00:53:01,440 --> 00:53:05,830
+وتوحيد بالمفهوم قالوا اتفقواعلى ان ال test شجعيش
+
+714
+00:53:05,830 --> 00:53:10,350
+بيكون positive اتفاق مش اكتر اذا بدي اجيب force
+
+715
+00:53:10,350 --> 00:53:16,360
+بدي اجيب شحنة chargepositive و small سموها test
+
+716
+00:53:16,360 --> 00:53:20,880
+charge شحنة انه اختبار الـ Q not ادوها رمز a place
+
+717
+00:53:20,880 --> 00:53:23,780
+at that point بعدين بيقولي بعد ما انت شفت حاطيتها
+
+718
+00:53:23,780 --> 00:53:27,680
+و لاجيتها اتحركت ايش قلت؟ في مجال بعد كده الشحنة
+
+719
+00:53:27,680 --> 00:53:32,000
+بدك اياها بتكاشي اياها الشحنة خلاص قدت المهمة انه
+
+720
+00:53:32,000 --> 00:53:34,880
+عرفت انه في مجال بعد كده قداشي المجال شغل تانية
+
+721
+00:53:34,880 --> 00:53:39,940
+بعد كده بيقولي جسم على هذه الشحنة عشان اطيرdivided
+
+722
+00:53:39,940 --> 00:53:43,260
+by the magnitude of the thesis chart يعني هذا
+
+723
+00:53:43,260 --> 00:53:48,220
+الكلام ترجمه بيقول E بيساوي force على Q naught
+
+724
+00:53:52,460 --> 00:54:00,240
+E بتساوي F على Q0 إذا E تعرف على إنها القوة التي
+
+725
+00:54:00,240 --> 00:54:04,140
+تؤثر على test charge positive و بعدين جسم على test
+
+726
+00:54:04,140 --> 00:54:06,600
+charge طب على test charge في النهاية بتبين في
+
+727
+00:54:06,600 --> 00:54:11,760
+الحل؟ لأ مابتجسم عليها في الآخر بتبينش تمام من هنا
+
+728
+00:54:11,760 --> 00:54:20,080
+شباب بقدر أقول جديش واحدة E إيش واحدة E يعني نيوتن
+
+729
+00:54:20,920 --> 00:54:25,180
+أكله خلاص و طبعا رابحة انها vector quantity لانه
+
+730
+00:54:25,180 --> 00:54:27,940
+انا عرفتها ال vector quantity اللي هي ال force و
+
+731
+00:54:27,940 --> 00:54:30,340
+over scale .. over scale في vector is a vector
+
+732
+00:54:30,340 --> 00:54:33,020
+صحيح ولا لأ .. اذا ان هي vector quantity زي ما انت
+
+733
+00:54:33,020 --> 00:54:36,320
+حكينا و هي ايه .. طبعا a q not positive معناته اي
+
+734
+00:54:36,320 --> 00:54:39,580
+وقت في نفس الاتجاه .. صحيح ولا لأ .. كاتجاه ..
+
+735
+00:54:39,580 --> 00:54:43,500
+تمام .. طبعا هو بيقول لي ..اللي تقلت الـ tested
+
+736
+00:54:43,500 --> 00:54:47,300
+charge must be positive أمن عشان نتفق طب ليش جالي
+
+737
+00:54:47,300 --> 00:54:50,700
+لازم تكون small جالي عشان تكون small لإن انت بدك
+
+738
+00:54:50,700 --> 00:54:53,920
+المجال في الغرفة و المجال جاي مش منها هذه الشحنة
+
+739
+00:54:53,920 --> 00:54:56,660
+جاي من شحنات غيرها لما تحطها بديش يأثر على اللي
+
+740
+00:54:56,660 --> 00:55:00,400
+حواليها عشان كده اعتبرها صغيرة عشان لما أقول حطتها
+
+741
+00:55:00,400 --> 00:55:05,800
+هنا اللي حواليها ماتأثرش تمام؟ اذا بيقولي the
+
+742
+00:55:05,800 --> 00:55:08,860
+tested charge should be small enough
+
+743
+00:55:11,560 --> 00:55:19,300
+لتأكد أن وجودها لا يؤثر على الشحنات التي تنتج E
+
+744
+00:55:19,300 --> 00:55:23,060
+عشان ما تأثرش على الشحنات اللي أنتجت E أصلاً هي
+
+745
+00:55:23,060 --> 00:55:26,080
+هاتيكست الشجرة خطوطها صغيرة بس بديها تشوف اتحركت
+
+746
+00:55:26,080 --> 00:55:29,720
+او ما اتحركتش و بس مجدش مقدارها مجدش يكون كبير ولا
+
+747
+00:55:29,720 --> 00:55:32,960
+بيأثرلي على كل المنطقة اللي أنا قاعد معنى فيها و
+
+748
+00:55:32,960 --> 00:55:39,100
+أجيب مجالها تم انا فهمنا
+
+749
+00:55:41,290 --> 00:55:44,830
+إنه عشان أعرف إنه في مجال كهرباية شباب بدي أجيب
+
+750
+00:55:44,830 --> 00:55:48,710
+شحنة الشحنة اتأثرت بقوة إذا في مجال ولا مافيش
+
+751
+00:55:48,710 --> 00:55:53,930
+مجال؟ في مجال طيب حكيت لو واحد حكالي إنه أنا حطيت
+
+752
+00:55:53,930 --> 00:55:58,390
+شحنة واتحركت كيف بدي أجيب القوة اللي عليها؟ هي
+
+753
+00:55:58,390 --> 00:56:00,790
+اتحركت إذا عليها قوة ولا ما شاء الله ليها قوة؟ كيف
+
+754
+00:56:00,790 --> 00:56:04,150
+أجيب القوة؟ قال ليش بدي أجيب القوة؟ هي القانون أف
+
+755
+00:56:04,150 --> 00:56:08,920
+إيش بيساوي؟ EQصح ولا لا؟ إذن خلاص بدل ما أنا أغلب
+
+756
+00:56:08,920 --> 00:56:13,120
+حالي وهذه بجيبها يعني بمعنى آخر لو المثال السابق
+
+757
+00:56:13,120 --> 00:56:16,700
+هذا عشان
+
+758
+00:56:16,700 --> 00:56:23,900
+حاطينا Q أظن 2 وQ3 وQ1 وقولنا هنا في قوة جاي من
+
+759
+00:56:23,900 --> 00:56:27,200
+هناك 2 كيف ممكن أن أحسبها؟ فأقول هذه Q3 موجودة
+
+760
+00:56:27,200 --> 00:56:31,810
+عندك طالع مش موجودةفيها مجال بقولوا اه فيها مجال
+
+761
+00:56:31,810 --> 00:56:35,910
+هذا مجال جاي من هنا و جاي من هنا لو حسبت E عند
+
+762
+00:56:35,910 --> 00:56:41,490
+النقطة هذه و ضربت في Q تلاتة تطلع القوة خلاص هي
+
+763
+00:56:41,490 --> 00:56:45,050
+نفس القضية تمام طبعا حدناها نعرفها بس كده إيش
+
+764
+00:56:45,050 --> 00:56:49,400
+بيقول ليهSince Q0 is always positive, the
+
+765
+00:56:49,400 --> 00:56:51,040
+direction of E is the direction of F
+
+766
+00:57:08,130 --> 00:57:23,090
+أي شحنة محطوطة في نقطة و النقطة هذه لها مجال يعني
+
+767
+00:57:23,090 --> 00:57:28,150
+لو جيبت E هنا شبابوقال لي اوجد F على Q ثلاثة بقوله
+
+768
+00:57:28,150 --> 00:57:32,830
+Q ثلاثة في E ليهان بطلع القوة واضح شباب نفس الخضية
+
+769
+00:57:32,830 --> 00:57:42,070
+تابعوا طيب الآن التعريف فهمته انا عرفت ان كل شحنة
+
+770
+00:57:42,070 --> 00:57:49,400
+لها مجالها متفقين كل شحنة لها مجالهاكيف أحسبه؟ قال
+
+771
+00:57:49,400 --> 00:57:53,040
+لي جيب القوة وبعد ما تجيب القوة جسّي معاك You Note
+
+772
+00:57:53,040 --> 00:57:57,660
+صح ولا لأ؟ طب أنا مضطر اني أعمل هيك؟ ده قال قليلا
+
+773
+00:57:57,660 --> 00:58:02,770
+اشتقلونيمكنني ان احسب شدة المجال الكهربائي لأي
+
+774
+00:58:02,770 --> 00:58:07,430
+شحنة ما هو المجال جاي من شحنة طيب بدك تجيبلي قانون
+
+775
+00:58:07,430 --> 00:58:12,870
+يخليني احسب شدة المجال لأي شحنة تمام مش هقول لو
+
+776
+00:58:12,870 --> 00:58:17,090
+every charge has its own electric field طب احسبليا
+
+777
+00:58:17,090 --> 00:58:23,350
+بدي قانون فبقولي يلا نشتغل قانون electric field of
+
+778
+00:58:23,350 --> 00:58:27,150
+pointed charges لpointed charges تمام كيف بنحسب؟
+
+779
+00:58:28,180 --> 00:58:33,400
+خلّينا نشوف لت أسكلكوليت the electric field at a
+
+780
+00:58:33,400 --> 00:58:37,730
+point PElectric field عند نقطة الماء والنقطة هذه P
+
+781
+00:58:37,730 --> 00:58:41,270
+والنقطة مافيش عليها شحنات يا شباب هي جانبها شحنات
+
+782
+00:58:41,270 --> 00:58:45,610
+أما عليها مافيش شحنات من الضرورة تمام arising من
+
+783
+00:58:45,610 --> 00:58:50,510
+وين جاء المجال ينبع from an isolated point in such
+
+784
+00:58:50,510 --> 00:58:54,950
+a queue هذا المجال ناتج من شحنة معزولة مافيش غيرها
+
+785
+00:58:54,950 --> 00:58:57,910
+تمام هذه معناه isolated مافيش غيرها محتوطة لحالها
+
+786
+00:58:57,910 --> 00:59:02,670
+في الفرار هذه النقطة P a distance R from it يعني
+
+787
+00:59:04,270 --> 00:59:08,530
+قولنا هذه شحنة تمام؟ حاجات احنا ما زال موجودة شحنة
+
+788
+00:59:08,530 --> 00:59:11,150
+حسب التعريف تبعنا في المنطقة اللي حواليها في مجال
+
+789
+00:59:11,150 --> 00:59:15,550
+ولا مافيش مجال؟ في مجال خلاص كل شحنة لها مجال هذه
+
+790
+00:59:15,550 --> 00:59:18,250
+المجال كبير و لا صغير شغل كانية ممكن يكون كبير و
+
+791
+00:59:18,250 --> 00:59:21,830
+ممكن يكون صغير لما أقول كبير يعني واسع ولا ديكبمتد
+
+792
+00:59:21,830 --> 00:59:25,390
+كده؟ هذه شغلة تانية، لكن في مجال، مظبوط ولا لا؟
+
+793
+00:59:25,390 --> 00:59:29,530
+أيش مطلوب منه؟ بقول يحسبلي شدة المجال عند نقطة P،
+
+794
+00:59:29,530 --> 00:59:33,210
+عند نقطة ما؟ سماها P، تبعد مسافة أعلى عن الـQ، أنا
+
+795
+00:59:33,210 --> 00:59:36,450
+بدي أشتق قانوني الآن، يمكنني من هذه الشغلة، اتفقنا
+
+796
+00:59:36,450 --> 00:59:39,750
+أنه في مجال، هي مجال، هاجت بمتد أكتر من كده، أقل
+
+797
+00:59:39,750 --> 00:59:43,850
+من كده، شغلة تانية، مطلوب، أوجد شدة المجال
+
+798
+00:59:43,850 --> 00:59:46,650
+الكهربائي عند نقطة P، هذه النقطة الخاطرة شباب،
+
+799
+00:59:46,650 --> 00:59:51,910
+نقطةما هي الشحنة تمام نقطة ما بتحسب شدة المجال
+
+800
+00:59:51,910 --> 00:59:56,570
+احنا متأكد انه قطعا في مجال ضعيف ولا قوي قضية
+
+801
+00:59:56,570 --> 00:59:59,290
+تانية بيعتمد على شرايط كتيرة بيعتمد على شحنة Q
+
+802
+00:59:59,290 --> 01:00:03,050
+كبيرة ولا صغيرة وبيعتمد على R المسافة ما بينهم صح
+
+803
+01:00:03,050 --> 01:00:07,100
+ولا لا فهو بيقول المسافة دي Rكيف بدي أحسب؟ قال لي
+
+804
+01:00:07,100 --> 01:00:11,220
+التعريف إيش بيقول؟ بيقول لي جيب test charge صح ولا
+
+805
+01:00:11,220 --> 01:00:16,620
+لأ؟ حطها عند النقطة B ال test charge هادي بيكون
+
+806
+01:00:16,620 --> 01:00:19,700
+positive حسب الاتفاق اللي بيعانى و تكون small صحيح
+
+807
+01:00:19,700 --> 01:00:25,750
+ولا لأ؟ تمام بيقول ليto do so we assume the
+
+808
+01:00:25,750 --> 01:00:31,330
+existence بدنا نفترض ويود at this charge q0 at
+
+809
+01:00:31,330 --> 01:00:32,250
+point B
+
+810
+01:00:35,850 --> 01:00:38,210
+و اذا عملت فتنة تكون positive ولا لا؟ positive
+
+811
+01:00:38,210 --> 01:00:41,530
+يعني ايش؟ بتكون حمره ولا لا؟ ها .. هاي الشحنة
+
+812
+01:00:41,530 --> 01:00:44,510
+تبعتي صلات حمره، هاي الشحنة الصلاة دلوقتي أنا
+
+813
+01:00:44,510 --> 01:00:48,170
+افترضت افتراض صحيح ولا لا تتشاجر و قلت ليش مقدارها
+
+814
+01:00:48,170 --> 01:00:51,710
+Q naught تمام؟ بعد كده إيش حكالي؟ قاللي أوجد الفرص
+
+815
+01:00:51,710 --> 01:00:57,560
+عليها أوجد الفرص عليهاQ0 بتتأثر بـQ ولا بتتأثراش
+
+816
+01:00:57,560 --> 01:01:02,500
+بقوة قانون كلهم بقدر أجيب القوة اللي على Q0 ولا لأ
+
+817
+01:01:02,500 --> 01:01:05,940
+اه اتعلمت أول حاجة أعملها أجيب ال direction تبع ال
+
+818
+01:01:05,940 --> 01:01:10,640
+force Q حمرة و Q0 حمرة القوة بين التنفرية و
+
+819
+01:01:10,640 --> 01:01:15,860
+التجذبية تنفرية يعني أعملها هي القوة صح ولا لأجيب
+
+820
+01:01:15,860 --> 01:01:18,600
+ال magnitude تبعها قال يجيب ال magnitude و بعدين
+
+821
+01:01:18,600 --> 01:01:23,340
+تجسمها كيو نوت هاي التعريف شباب تمام بيقوللي الان
+
+822
+01:01:23,340 --> 01:01:27,620
+from columb's law قانون كلهم اللي بتعرفوا the
+
+823
+01:01:27,620 --> 01:01:32,060
+force upon the tested charge q naught ال force
+
+824
+01:01:32,060 --> 01:01:35,840
+اللي بتأثر على q naught بدي أجيب شباب يلا نجيبها
+
+825
+01:01:35,840 --> 01:01:42,000
+طبعا ك vector بتسوي K Q واحد في Q اتنين على مربع
+
+826
+01:01:42,000 --> 01:01:45,670
+المسافة بينهم و في R unit vector ك vectorصح ولا
+
+827
+01:01:45,670 --> 01:01:49,370
+لأ؟ قلت الشحنة الأولى مقدارها Q الشحنة التانية
+
+828
+01:01:49,370 --> 01:01:52,430
+اللى أنا افترضتها مقدارها Q0 على مربع المسافة اللى
+
+829
+01:01:52,430 --> 01:01:56,290
+بينهم اللى هى R وفيه R unit vector اللى هى باتجاه
+
+830
+01:01:56,290 --> 01:02:00,070
+ال unit vector طبعا ال R unit vector هنا اتجاهه
+
+831
+01:02:00,070 --> 01:02:05,830
+كيف في الرسمة مش بيروح من Q ل Q0 من Q ل Q0 او من Q
+
+832
+01:02:05,830 --> 01:02:10,620
+لنقطة لأن Q0 النهاية محطت على النقطةطبعا اذا R
+
+833
+01:02:10,620 --> 01:02:13,620
+unit vector هو اتجاه هذا طبعا عشان مافيش واحد
+
+834
+01:02:13,620 --> 01:02:16,360
+اتنين احنا متعودين نحط ايا Q واحد و Q اتنين شوف
+
+835
+01:02:16,360 --> 01:02:18,700
+انا مظبوط ولا لأ انا الان مافيش عندي واحد و اتنين
+
+836
+01:02:18,700 --> 01:02:24,000
+عندي Q و Q not فR هي ما بين Q و Q not طبعا طلعت هي
+
+837
+01:02:24,000 --> 01:02:27,760
+بيقولي هجيجيش هجيبت ال force في الآخر عشان يجيب
+
+838
+01:02:27,760 --> 01:02:32,280
+المجان ايش بكي تسوي انك تجسم على Q not مش بيقولي
+
+839
+01:02:32,280 --> 01:02:36,580
+ايه بتسوي F على Q not طب هي F جاهزة اجسم على Q not
+
+840
+01:02:36,580 --> 01:02:37,880
+هي جاهزة
+
+841
+01:02:40,710 --> 01:02:47,530
+هذا قانوننا الجديد هذا بيجيبلي شدة المجال لأي شحنة
+
+842
+01:02:47,530 --> 01:02:51,550
+عند نقطة ما و النقطة بتبعد عن الشحنة مسافة R
+
+843
+01:02:51,550 --> 01:02:55,670
+معروفة صح ولا لأ سبب حاجت هويش حكالي من الأول يقول
+
+844
+01:02:55,670 --> 01:02:59,870
+every charge has its own electric field every
+
+845
+01:02:59,870 --> 01:03:05,580
+charge و ال charge مثلا ب Q صح ولا لأأتعني point و
+
+846
+01:03:05,580 --> 01:03:09,520
+ال point متمثلها R لإن ال point تبعد عن الشحنة ب R
+
+847
+01:03:09,520 --> 01:03:15,180
+again كل ما بعدت ايش بيصير فيه؟ بتخل منطق و لا مش
+
+848
+01:03:15,180 --> 01:03:20,920
+منطق؟ منطق لإن R بتزيد معناته E بتخل و كل ما زادت
+
+849
+01:03:20,920 --> 01:03:24,520
+Q الشحنة بيزيد .. المجال بيزيد و لا بيزيدش برضه
+
+850
+01:03:24,520 --> 01:03:28,540
+منطق الصيغة طبعا القانون بتشبه قانون كلهم و لا لأ؟
+
+851
+01:03:28,540 --> 01:03:33,290
+إذن سهل أحفظهمقانون كلهم كان يحسب ال force between
+
+852
+01:03:33,290 --> 01:03:36,630
+two charges صح ولا لا؟ المجال بده two charges ولا
+
+853
+01:03:36,630 --> 01:03:41,110
+كل واحدة لحالها إيه؟ بزمني بس شحنة شحنة واحدة هيها
+
+854
+01:03:41,110 --> 01:03:44,910
+مش غيرها لإن كل شحنة إلها مجال مافيش داعي أقول q1
+
+855
+01:03:44,910 --> 01:03:49,810
+و q2 صح ولا لا يا شباب؟ هيها E بتسوي KQ على R
+
+856
+01:03:49,810 --> 01:03:53,030
+تربيع وR unit vector و ال unit vector زي ما اتفقنا
+
+857
+01:03:53,030 --> 01:03:56,810
+where the unit vector directed from Q to the point
+
+858
+01:03:57,190 --> 01:04:00,010
+كانت ال point حطتها Q0 و Q0 في الأخر انا فرضها
+
+859
+01:04:00,010 --> 01:04:03,910
+برضه المعطى عندي هي النقطة B هي العصر وبالتالي بدأ
+
+860
+01:04:03,910 --> 01:04:11,090
+أنسب إلها فبالتالي R من Q لنقطة B هاي قانون بدأ
+
+861
+01:04:11,090 --> 01:04:14,890
+أحط زي قانون جديدة طبعا تدبش بيه قانون كلها هذا Q1
+
+862
+01:04:14,890 --> 01:04:19,250
+و Q2 على R تربيع هذا Q بس مش غير شحنة لأن المجال
+
+863
+01:04:19,250 --> 01:04:24,010
+يتولد من شحنة بس شحنة واحدة لحالها كفيرة تولدلي
+
+864
+01:04:24,010 --> 01:04:25,250
+مجال حلو
+
+865
+01:04:28,360 --> 01:04:33,700
+نرجع لها وهذه النقطة بيه وحسبناها ايه وهذه ايه عند
+
+866
+01:04:33,700 --> 01:04:37,600
+النقطة بيه صار هذه المجال واضح شباب طبعا ولما
+
+867
+01:04:37,600 --> 01:04:43,440
+اتفقنا المجال بيكون بهذا الشكل اتجاهه حلوIt is
+
+868
+01:04:43,440 --> 01:04:46,840
+clear that if the charge Q is negative، حنا قولنا
+
+869
+01:04:46,840 --> 01:04:51,180
+Q نقطة تفق عليها تكون positive، صح؟ لكن الـQ، هذه
+
+870
+01:04:51,180 --> 01:04:56,240
+حرق فيها أنا، مش ممكن تكون سلبة؟ ممكن، طب لو كانت
+
+871
+01:04:56,240 --> 01:04:58,740
+سلبة، أيش بده يصير معايا؟ الـQ نقطة positive
+
+872
+01:04:58,740 --> 01:05:02,920
+دايما، الـQ سلبة، القوة بتكون تنفورية ولا
+
+873
+01:05:02,920 --> 01:05:05,760
+تجادوبية؟ تجادوبية، تجادوبية، إذا القوة بدت تنعكس
+
+874
+01:05:05,760 --> 01:05:09,080
+ولا بدت تنعكس؟الحكومة بتتناقص بيقول it is clear
+
+875
+01:05:09,080 --> 01:05:13,100
+that if that charge Q is negative the direction of
+
+876
+01:05:13,100 --> 01:05:16,620
+E will be reversed صح ولا لا؟ هذه شغلة منطقية هي
+
+877
+01:05:16,620 --> 01:05:23,560
+صارت ذرجة بتبقى هيك E؟ لأ E هتصير هيك إذا صارت E
+
+878
+01:05:23,560 --> 01:05:30,160
+اتجاه بيعتمد على مين؟على الـQ المسبب إليها، هي E
+
+879
+01:05:30,160 --> 01:05:33,720
+من أين جاءت؟ ليس من الـQ، إذن الـQ هي صاحبة
+
+880
+01:05:33,720 --> 01:05:38,680
+الصراحية والحق الحصري إنها تحدد اتجاه E ولا لا،
+
+881
+01:05:38,680 --> 01:05:43,300
+طبعاً من مجالها هي بتحدد مقداره وبتحدد اتجاهه
+
+882
+01:05:43,580 --> 01:05:48,040
+اتجاهه بتحدد تبع النوع الشحنة والمقدار بتحدد تبع
+
+883
+01:05:48,040 --> 01:05:51,660
+المقدار الشحنة وبعد النقطة صح ولا لأ؟ إذا المقدار
+
+884
+01:05:51,660 --> 01:05:55,760
+بيلعب فيه شغلتين المجنتوه تبع الشحنة وبعد النقطة
+
+885
+01:05:55,760 --> 01:06:00,340
+عنها أما ال direction بس نوعها positive طالع منها
+
+886
+01:06:00,340 --> 01:06:06,060
+negative داخل عليها صح ولا لأ؟ هذا هي تمام واضحة
+
+887
+01:06:06,060 --> 01:06:11,050
+الأموربقول لي إيش معناته if q is positive
+
+888
+01:06:11,050 --> 01:06:15,290
+الأولانية لما كانت حمرا the direction of e is
+
+889
+01:06:15,290 --> 01:06:19,390
+outward from that charge طالع من الشحنة رايح عن
+
+890
+01:06:19,390 --> 01:06:24,510
+النقطة صح ولا لأ is outward from that charge و if
+
+891
+01:06:24,510 --> 01:06:27,730
+q is negative اللي هي المرسومة عندكم الآن the
+
+892
+01:06:27,730 --> 01:06:32,490
+direction of e is inward toward that charge رايح
+
+893
+01:06:32,490 --> 01:06:39,530
+من النقطة ع الشحنة سهلة سهلة إذا أنالما كنت أحل
+
+894
+01:06:39,530 --> 01:06:42,510
+forces أول حاجة كنت أعملها أحدد ال direction of
+
+895
+01:06:42,510 --> 01:06:45,430
+the forces و كنت أحددها تبعا لل attractive و ال
+
+896
+01:06:45,430 --> 01:06:49,010
+reversive ليش؟ لأنه أنا بتعامل مع vectors و كان
+
+897
+01:06:49,010 --> 01:06:52,310
+بالذنب ال directions طب المجال القهوة بقى اسكرا؟
+
+898
+01:06:53,310 --> 01:06:56,610
+ولّا vector برضه؟ برضه vector إذا بلزمني ال
+
+899
+01:06:56,610 --> 01:06:59,810
+direction ولا بلزمنيش؟ برضه بلزمني إذا برضه ع
+
+900
+01:06:59,810 --> 01:07:03,450
+الرسمة بدي أحدد ال direction كيف بقولي هدول ال two
+
+901
+01:07:03,450 --> 01:07:06,930
+remarks بيساعدوني كيف أحدد ال direction هو في
+
+902
+01:07:06,930 --> 01:07:10,230
+الآخر بده المجال بس من شحنة مش شحنة نعطيك إياها و
+
+903
+01:07:10,230 --> 01:07:14,830
+لا مش نعطيك إياها نعطيك إياها لمقدارا و نوعا إذا
+
+904
+01:07:14,830 --> 01:07:19,310
+كانت الشحنة موجبة بقول المجال بخلع منهاإذا الشحنة
+
+905
+01:07:19,310 --> 01:07:22,790
+سالبة بيقول المجال رايع عليها إذا هدول الملاحظتين
+
+906
+01:07:22,790 --> 01:07:27,670
+هم اللي بدهم يساعدوني أحدد اتجاه المجال الكهربائي
+
+907
+01:07:27,670 --> 01:07:32,350
+شباب واضح؟ و هيكون الحل بيشبه الحل تبع columbus
+
+908
+01:07:32,350 --> 01:07:35,550
+law بس هنا بتتعامل مع قوة هنا بتتعامل مع electric
+
+909
+01:07:35,550 --> 01:07:38,710
+fields مش أكتر في الآخر هنا vectors هنا vectors
+
+910
+01:07:38,710 --> 01:07:42,930
+بدي أكتبهم ك vectors بدلانة I و J وهنا نفس القضية
+
+911
+01:07:43,670 --> 01:07:47,170
+هناك كنت أتعامل مع ال direction على أساس
+
+912
+01:07:47,170 --> 01:07:50,990
+attractive or repulsive هنا بنتعامل مش عندي شحنة
+
+913
+01:07:50,990 --> 01:07:55,430
+وحيدة it is inward or outward outward if q is
+
+914
+01:07:55,430 --> 01:08:00,930
+positive and inward if q is negative واضح شباب؟ في
+
+915
+01:08:00,930 --> 01:08:06,470
+أي استفسار لحد هذه اللحظة؟ كل شحنة إلها مجالها طيب
+
+916
+01:08:06,470 --> 01:08:11,190
+هذه q تلاتة مش موجودة وأنا هنا وهذه نقطة
+
+917
+01:08:13,810 --> 01:08:18,250
+هذه النقطة جامعة كم شحنة؟ شحنتين المجال اللي عند
+
+918
+01:08:18,250 --> 01:08:22,510
+النقطة بس جاي ملكي واحد ولا من واحد واثنين؟ إذا كل
+
+919
+01:08:22,510 --> 01:08:25,830
+شحنة إلها نصيب ولا لا؟ كيف بدي أحسبه؟ بقولك لواحد
+
+920
+01:08:25,830 --> 01:08:29,790
+إنه نصيب بحسب اتجاهه و بحسب مقداره ولا لا؟ إذا هي
+
+921
+01:08:29,790 --> 01:08:35,070
+.. بقدر بالعربي و بالبلدي أقول إن ال E at point P
+
+922
+01:08:35,070 --> 01:08:41,100
+is the sum of E1 and E2 but the vector sumأذا انا
+
+923
+01:08:41,100 --> 01:08:45,740
+بدي اجمع اذا بدي اجمع E1 و E2 و اجمعهم ك vectors
+
+924
+01:08:45,740 --> 01:08:48,300
+بطلع عندي المجال ساعتها كل واحد بياخد نصيبه
+
+925
+01:08:48,300 --> 01:08:53,940
+بالعادل صحيح ولا لا تمام شوف اشكلت مين هنا the
+
+926
+01:08:53,940 --> 01:08:56,300
+electric field at a point due to a group of
+
+927
+01:08:56,300 --> 01:08:58,860
+pointed charges مافيش عندي شحنة واحدة لأ في عندي
+
+928
+01:08:58,860 --> 01:09:03,970
+شحنات كتيرة group ان شاء الله مليونE is the vector
+
+929
+01:09:03,970 --> 01:09:08,970
+sum الجمع الاتجاهي of the electric fields at that
+
+930
+01:09:08,970 --> 01:09:13,870
+point due to each charge individually يعني بجيب E
+
+931
+01:09:13,870 --> 01:09:18,630
+للأولى E للتانية E للتالتة و هكذا كل واحدة لحالي
+
+932
+01:09:18,630 --> 01:09:21,550
+على حدة و بعد كده بجمعهم جمعتهم اتجاهي
+
+933
+01:09:21,550 --> 01:09:27,190
+individually IE E if we have N charges عندي N
+
+934
+01:09:27,190 --> 01:09:30,130
+charges و ال N هذه ممكن تكون عشرة ممكن تكون مليون
+
+935
+01:09:30,130 --> 01:09:38,720
+تمام؟الطابق الإلكتروني E هوE1 جبتها E2 جبتها E3
+
+936
+01:09:38,720 --> 01:09:42,880
+جبتها ضلتني أمشي أمشي لما خلصت لها N الـ N زي ما
+
+937
+01:09:42,880 --> 01:09:46,500
+اتفقنا مليون ولا مية ولا عشرة ولا تلاتة ولا اتنين
+
+938
+01:09:46,500 --> 01:09:49,940
+مفرقاش معاها بضلني أجمع لما عصلها إذا أنا لما يكون
+
+939
+01:09:49,940 --> 01:09:53,160
+في عندي أكتر من شحنة بده شدة المجال عند نقطة مطلوب
+
+940
+01:09:53,160 --> 01:09:58,780
+مني أجيب E1 due to Q1 E2 due to Q2 E3 due to Q3 و
+
+941
+01:09:58,780 --> 01:10:02,280
+هكذا لما أخلص و بعدين أجمع جميع ال vectors و جمع
+
+942
+01:10:02,280 --> 01:10:07,940
+ال vectors عملية سهلةE1 E2 and EN are the electric
+
+943
+01:10:07,940 --> 01:10:12,120
+fields due to the charges Q1 Q2 and QN
+
+944
+01:10:12,120 --> 01:10:16,260
+respectively طبعا
+
+945
+01:10:16,260 --> 01:10:18,580
+احنا لما جيبنا القانون قلنا ايه
+
+946
+01:10:21,830 --> 01:10:25,490
+بتسوي KQ على R تربيع وحطنا هنا R unit vector صح
+
+947
+01:10:25,490 --> 01:10:28,670
+ولا لأ؟ جيري طب لو بدك يديب ال magnitude مازال
+
+948
+01:10:28,670 --> 01:10:32,570
+هادي بدي أصي ال magnitude بدك تطير هادي لإن هادي
+
+949
+01:10:32,570 --> 01:10:35,310
+بتصي scale لإن مامعكوا في vector عشان أطير هادي
+
+950
+01:10:35,310 --> 01:10:39,560
+بدي أحط هنا absolute valueمظبوط ولا لا؟ ليش؟ أنا
+
+951
+01:10:39,560 --> 01:10:41,540
+بقولك الـdirection اللي جيبته على رأسنا، إيش لك
+
+952
+01:10:41,540 --> 01:10:43,640
+فيه كمان مرة؟ خلاص، بيكفي، إيش ضايل عليك؟ ال
+
+953
+01:10:43,640 --> 01:10:47,020
+magnitude صح ولا لا؟ إذا انت ال direction حددته، و
+
+954
+01:10:47,020 --> 01:10:49,600
+ال vector شغلتين، ال direction و ال magnitude، ال
+
+955
+01:10:49,600 --> 01:10:52,260
+direction اتحددت بالملاحظين اللي حاكيناها، لأ
+
+956
+01:10:52,260 --> 01:10:55,200
+outward for positive charges أو inward for
+
+957
+01:10:55,200 --> 01:10:57,800
+negative charges، حددتها، إيش بضل عليك؟ جيب ال
+
+958
+01:10:57,800 --> 01:11:00,140
+magnitude، ال magnitude يعني مافيش جاعي لديه
+
+959
+01:11:00,140 --> 01:11:03,240
+vector ولا unit vector ولا حاجة، هيك، استخدم هذا
+
+960
+01:11:03,240 --> 01:11:06,170
+القانونطبعا زي ما حكينا بالـ Coulomb's Law لما
+
+961
+01:11:06,170 --> 01:11:08,750
+يكون أنا بتعامل مع مجموعة الـ charge must be
+
+962
+01:11:08,750 --> 01:11:13,570
+absolute value صح ولا لأ؟ لأنه خلاص مهمة الـ sine
+
+963
+01:11:13,570 --> 01:11:16,750
+ان عملت بتحديد الاتجاه خلاص ماشي ليه دعوة فيها
+
+964
+01:11:16,750 --> 01:11:21,250
+حددت اتجاه و خلصت فبتصير K absolute value ل Q على
+
+965
+01:11:21,250 --> 01:11:26,270
+R تربية مافيش أي مشكلة في هذه القضية زيها .. زي
+
+966
+01:11:26,270 --> 01:11:31,830
+هذه في أي صفصار شباب؟ احكي؟ حكي معايا، اسأل كلمة
+
+967
+01:11:31,830 --> 01:11:36,460
+بدكهو بس انه مصطلح ال الكتيريز .. the magnitude of
+
+968
+01:11:36,460 --> 01:11:41,860
+.. اه ده خطأ مضحك .. اه ده ال magnitude of ال ال
+
+969
+01:11:41,860 --> 01:11:46,180
+الكتيريز فانا مصح .. لإنه هيجينا ال magnitude بس
+
+970
+01:11:46,180 --> 01:11:48,180
+لسه .. ده اللي هو ست سبعة شبات يعني .. احكي ..
+
+971
+01:11:48,180 --> 01:11:52,920
+هيجينا ال magnitude كل ال .. كل المشكلات حواليها
+
+972
+01:11:52,920 --> 01:11:56,220
+.. معاهم اللي أوطام عليها .. لأ .. هيجينا ال
+
+973
+01:11:56,220 --> 01:12:00,640
+magnitude of E1و ال magnitude of E2 لو طلع ال
+
+974
+01:12:00,640 --> 01:12:04,700
+magnitude of E1 خمسة و ال magnitude of E2 ثلاثة
+
+975
+01:12:04,700 --> 01:12:09,740
+المagnitude of the total تمانية لأ انت عشان تجيب
+
+976
+01:12:09,740 --> 01:12:14,040
+ال magnitude لكل واحد على حده فانت عليه بتلجأش
+
+977
+01:12:14,040 --> 01:12:20,400
+تقول the magnitude of the resultant not equal to
+
+978
+01:12:20,400 --> 01:12:24,100
+the sum of the magnitudes يعني
+
+979
+01:12:25,350 --> 01:12:30,230
+المقدار تبع المحصلة شباب لا يسوء مجموع المقادير
+
+980
+01:12:30,230 --> 01:12:34,570
+انت بتسويش انت بتجيب المقدار عشان بعد كده تكتب ك
+
+981
+01:12:34,570 --> 01:12:37,590
+vector بتقول المقدار زي الاتجاه و بتحط جنب الاتجاه
+
+982
+01:12:37,590 --> 01:12:42,230
+انت بتكترها هذه انت بتجيب المقدار بس ل E1 و بس ل
+
+983
+01:12:42,230 --> 01:12:47,050
+E2 لكن المقدار لل E total لا يسوء the sum of the
+
+984
+01:12:47,050 --> 01:12:52,290
+magnitudes لكل ال electric fields تمام؟ غيره شباب
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..19728d162db5866a5d5ec0c94d47d2c20eb4e848
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/gLdrcQbWgbw_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2366, "start": 9.82, "end": 23.66, "text": "بسلامة بسم الله الرحمن الرحيم نستكمل المحاضرة الماضية اللى حكينا عنها عن ال electric charge بعدين وقفنا عن Coulomb's law", "tokens": [3555, 3794, 37440, 3660, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8717, 14851, 24793, 1211, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 13672, 7578, 11331, 4117, 1829, 8315, 18871, 11296, 18871, 2423, 5210, 4602, 39182, 9957, 4032, 4587, 5172, 8315, 18871, 383, 3298, 3548, 311, 2101], "avg_logprob": -0.21986606656288615, "compression_ratio": 1.3829787234042554, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 9.819999999999997, "end": 11.16, "word": "بسلامة", "probability": 0.58160400390625}, {"start": 11.16, "end": 11.34, "word": " بسم", "probability": 0.840576171875}, {"start": 11.34, "end": 11.5, "word": " الله", "probability": 0.9609375}, {"start": 11.5, "end": 11.82, "word": " الرحمن", "probability": 0.974609375}, {"start": 11.82, "end": 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ما قبل حكينا الـQ3 will be repulsive with Q1 the force on Q3 will be repulsive بالتاني هتكون القوة بهذه الشكل صح ولا لأ؟", "tokens": [6027, 4587, 2407, 3660, 13672, 1829, 15844, 6055, 1211, 9307, 3660, 9154, 36764, 24401, 3462, 281, 1249, 16, 293, 479, 9356, 9154, 4032, 9957, 10874, 16606, 2423, 39184, 37, 9356, 22807, 9154, 2423, 39184, 17, 9154, 2423, 39184, 17, 365, 264, 3513, 4898, 7251, 1211, 11703, 995, 8717, 5016, 9566, 2423, 3513, 30767, 1829, 19446, 12174, 36150, 11331, 4117, 1829, 8315, 2423, 39184, 48, 18, 486, 312, 1085, 32657, 365, 1249, 16, 264, 3464, 322, 1249, 18, 486, 312, 1085, 32657, 20666, 2655, 7649, 1829, 8032, 2655, 30544, 25062, 2407, 3660, 39627, 24192, 25124, 28820, 20328, 5016, 49429, 5296, 10721, 22807], "avg_logprob": -0.35692402574361537, "compression_ratio": 1.5434782608695652, "no_speech_prob": 1.3709068298339844e-06, "words": [{"start": 941.31, "end": 942.01, "word": "القوة", "probability": 0.65155029296875}, {"start": 942.01, "end": 942.71, "word": " 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"word": " force", "probability": 0.96533203125}, {"start": 959.03, "end": 959.21, "word": " on", "probability": 0.87744140625}, {"start": 959.21, "end": 959.61, "word": " Q3", "probability": 0.915283203125}, {"start": 959.61, "end": 959.75, "word": " will", "probability": 0.83154296875}, {"start": 959.75, "end": 959.91, "word": " be", "probability": 0.94873046875}, {"start": 959.91, "end": 960.83, "word": " repulsive", "probability": 0.9326171875}, {"start": 960.83, "end": 961.73, "word": " بالتاني", "probability": 0.864501953125}, {"start": 961.73, "end": 962.29, "word": " هتكون", "probability": 0.9265950520833334}, {"start": 962.29, "end": 962.61, "word": " القوة", "probability": 0.9918619791666666}, {"start": 962.61, "end": 962.83, "word": " بهذه", "probability": 0.825439453125}, {"start": 962.83, "end": 963.09, "word": " الشكل", "probability": 0.966552734375}, {"start": 963.09, "end": 963.29, "word": " صح", "probability": 0.907958984375}, {"start": 963.29, "end": 963.41, "word": " ولا", "probability": 0.87353515625}, {"start": 963.41, "end": 963.97, "word": " لأ؟", "probability": 0.9195963541666666}], "temperature": 1.0}, {"id": 45, "seek": 99255, "start": 967.31, "end": 992.55, "text": "حاجات انا ايش قاعد بديب القوة؟ على مين؟ ايش المطلوب مني؟ مطلوب القوة على Q3 هذا مطلوب السؤال انا هعدده مش باختياري بقول find the resultant electric force exerted on Q3 تمام؟ على Q3 بقول Q3 is affected by two forces عليها قوتين Q3 صح ولا لأ؟ من واحد عليها قوة ومن اتنين عليها قوة بديعوا واحدة واحدة نبدأ بواحد", "tokens": [5016, 26108, 9307, 1975, 8315, 1975, 1829, 8592, 12174, 995, 22488, 4724, 16254, 3555, 25062, 2407, 3660, 22807, 15844, 3714, 9957, 22807, 1975, 1829, 8592, 9673, 9566, 1211, 37746, 9154, 1829, 22807, 3714, 9566, 1211, 37746, 25062, 2407, 3660, 15844, 1249, 18, 23758, 3714, 9566, 1211, 37746, 21136, 33604, 6027, 1975, 8315, 8032, 22488, 3215, 3224, 37893, 4724, 47283, 31371, 9640, 1829, 4724, 39648, 915, 264, 1874, 394, 5210, 3464, 31941, 292, 322, 1249, 18, 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{"start": 984.73, "end": 985.29, "word": " قوتين", "probability": 0.9814453125}, {"start": 985.29, "end": 985.83, "word": " Q3", "probability": 0.97412109375}, {"start": 985.83, "end": 986.07, "word": " صح", "probability": 0.97802734375}, {"start": 986.07, "end": 986.25, "word": " ولا", "probability": 0.818359375}, {"start": 986.25, "end": 986.99, "word": " لأ؟", "probability": 0.8515625}, {"start": 986.99, "end": 987.15, "word": " من", "probability": 0.98095703125}, {"start": 987.15, "end": 987.63, "word": " واحد", "probability": 0.98583984375}, {"start": 987.63, "end": 988.01, "word": " عليها", "probability": 0.959716796875}, {"start": 988.01, "end": 988.85, "word": " قوة", "probability": 0.9899088541666666}, {"start": 988.85, "end": 989.29, "word": " ومن", "probability": 0.772216796875}, {"start": 989.29, "end": 989.61, "word": " اتنين", "probability": 0.9434814453125}, {"start": 989.61, "end": 989.91, "word": " عليها", "probability": 0.9814453125}, {"start": 989.91, "end": 990.43, "word": " قوة", "probability": 0.9947916666666666}, {"start": 990.43, "end": 991.29, "word": " بديعوا", "probability": 0.662353515625}, {"start": 991.29, "end": 991.63, "word": " واحدة", "probability": 0.9822591145833334}, {"start": 991.63, "end": 991.87, "word": " واحدة", "probability": 0.9793294270833334}, {"start": 991.87, "end": 992.11, "word": " نبدأ", "probability": 0.8147786458333334}, {"start": 992.11, "end": 992.55, "word": " بواحد", "probability": 0.9855143229166666}], "temperature": 1.0}, {"id": 46, "seek": 101699, "start": 993.11, "end": 1016.99, "text": "واحد و تلاتة are like the same sign of charges صح ولا لأ، اتنين موجبات، اتانية كماطة، هي خمسة و خمسة، تمام؟ اذا بقول القوة اللي بينهم repulsive، صح؟ شوف repulsive يعني بدي تتنافر، بما ان طالب القوة على Q تلاتة بقول Q تلاتة هي بدي تتنافر، مش واحد، لأن هو طالب Q تلاتة، بالتالة بقول Q three", "tokens": [14407, 24401, 4032, 6055, 1211, 9307, 3660, 366, 411, 264, 912, 1465, 295, 12235, 20328, 5016, 49429, 5296, 10721, 12399, 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" القوة", "probability": 0.99462890625}, {"start": 1010.65, "end": 1010.83, "word": " على", "probability": 0.89404296875}, {"start": 1010.83, "end": 1010.97, "word": " Q", "probability": 0.6611328125}, {"start": 1010.97, "end": 1011.31, "word": " تلاتة", "probability": 0.8280029296875}, {"start": 1011.31, "end": 1011.49, "word": " بقول", "probability": 0.7236328125}, {"start": 1011.49, "end": 1011.67, "word": " Q", "probability": 0.81787109375}, {"start": 1011.67, "end": 1011.97, "word": " تلاتة", "probability": 0.9620361328125}, {"start": 1011.97, "end": 1012.09, "word": " هي", "probability": 0.7392578125}, {"start": 1012.09, "end": 1012.23, "word": " بدي", "probability": 0.90576171875}, {"start": 1012.23, "end": 1012.79, "word": " تتنافر،", "probability": 0.9569498697916666}, {"start": 1012.79, "end": 1012.89, "word": " مش", "probability": 0.974609375}, {"start": 1012.89, "end": 1013.77, "word": " واحد،", "probability": 0.9249674479166666}, {"start": 1013.77, "end": 1013.97, "word": " لأن", "probability": 0.774169921875}, {"start": 1013.97, "end": 1014.15, "word": " هو", "probability": 0.984375}, {"start": 1014.15, "end": 1014.45, "word": " طالب", "probability": 0.9881184895833334}, {"start": 1014.45, "end": 1014.61, "word": " Q", "probability": 0.923828125}, {"start": 1014.61, "end": 1015.81, "word": " تلاتة،", "probability": 0.9658203125}, {"start": 1015.81, "end": 1016.07, "word": " بالتالة", "probability": 0.880859375}, {"start": 1016.07, "end": 1016.33, "word": " بقول", "probability": 0.981201171875}, {"start": 1016.33, "end": 1016.59, "word": " Q", "probability": 0.97314453125}, {"start": 1016.59, "end": 1016.99, "word": " three", "probability": 0.327880859375}], "temperature": 1.0}, {"id": 47, "seek": 104364, "start": 1018.98, "end": 1043.64, "text": "سيتأثر من قوة التجارة F13 كما تشاهد في الفيجارة طيب بالنسبة لـQ2 القوة التانية بينهم قوة تجارة و لا قوة تجارة طيب إذا أنا أشتغل على قوة تجارة قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة قواتي تجارة قواتي 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"word": " هيك", "probability": 0.74853515625}, {"start": 1410.25, "end": 1410.75, "word": " خلصنا", "probability": 0.977783203125}, {"start": 1410.75, "end": 1411.37, "word": " حاجات", "probability": 0.9352213541666666}, {"start": 1411.37, "end": 1411.55, "word": " بدي", "probability": 0.60491943359375}, {"start": 1411.55, "end": 1411.99, "word": " أجمع", "probability": 0.907470703125}], "temperature": 1.0}, {"id": 63, "seek": 144135, "start": 1412.49, "end": 1441.35, "text": "بقول القوة القليلة على F3 بيسوي مجموع القوتين صح ولا لأ؟ فبتصير Now the resultant force acting on Q3 is the vector sum of the two forces سهل أصير جمعته في vector الشباب جسدنا سهل أبتصير بعد كده F3 بتسوي F13 plus F23 وكنا بنعرف نجمع في vectors من يجمعهم ال I مع ال I و ال J مع ال J", "tokens": [3555, 39648, 25062, 2407, 3660, 25062, 20292, 37977, 15844, 479, 18, 4724, 1829, 3794, 45865, 3714, 7435, 2304, 45367, 25062, 35473, 9957, 20328, 5016, 49429, 5296, 10721, 22807, 6156, 3555, 2655, 9381, 13546, 823, 264, 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1796.56, "word": " برا،", "probability": 0.794921875}, {"start": 1796.56, "end": 1796.84, "word": " طبعا", "probability": 0.912353515625}, {"start": 1796.84, "end": 1797.1, "word": " برا", "probability": 0.92919921875}, {"start": 1797.1, "end": 1797.22, "word": " و", "probability": 0.73828125}, {"start": 1797.22, "end": 1797.3, "word": " ان", "probability": 0.1246337890625}, {"start": 1797.3, "end": 1797.68, "word": " بالظبط", "probability": 0.911376953125}, {"start": 1797.68, "end": 1797.94, "word": " بيدح", "probability": 0.3912760416666667}, {"start": 1797.94, "end": 1798.34, "word": " حسب", "probability": 0.645751953125}, {"start": 1798.34, "end": 1800.02, "word": " الأرقام", "probability": 0.9815673828125}, {"start": 1800.02, "end": 1800.5, "word": " و", "probability": 0.82373046875}, {"start": 1800.5, "end": 1800.74, "word": " ال", "probability": 0.76708984375}, {"start": 1800.74, "end": 1801.66, "word": " magnitude،", "probability": 0.68896484375}, {"start": 1801.66, "end": 1802.02, "word": " مظبوط،", "probability": 0.8553059895833334}, {"start": 1802.02, "end": 1802.14, "word": " عشان", "probability": 0.8912760416666666}, {"start": 1802.14, "end": 1802.62, "word": " يتساوى", "probability": 0.7523193359375}], "temperature": 1.0}, {"id": 79, "seek": 182838, "start": 1802.92, "end": 1828.38, "text": "تمام اذا احنا الآن عملنا انه انا اختياره لازرق مجرد هيك مزاج انا ممكن اختارها حمرا عشان كده هو ادانيها Q3 وماجليش positive or negative لانه عارف في الحالتين تظبط معاه تمام هيك؟ تمام اذا انا كيف بده احتياط فهو بده X، X المجهول الوحيد تمام مقولي the two forces acting on Q3 are both attractive صح ولا لأ؟", "tokens": [39237, 10943, 1975, 15730, 1975, 5016, 8315, 6024, 48506, 6225, 42213, 8315, 16472, 3224, 1975, 8315, 1975, 9778, 31371, 9640, 3224, 5296, 31377, 2288, 4587, 3714, 7435, 2288, 3215, 39896, 4117, 3714, 11622, 26108, 1975, 8315, 3714, 43020, 1975, 46456, 9640, 11296, 11331, 2304, 23557, 6225, 8592, 7649, 9122, 3215, 3224, 31439, 1975, 3215, 7649, 1829, 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1804.78, "word": " عملنا", "probability": 0.7251790364583334}, {"start": 1804.78, "end": 1805.32, "word": " انه", "probability": 0.5616455078125}, {"start": 1805.32, "end": 1805.46, "word": " انا", "probability": 0.781982421875}, {"start": 1805.46, "end": 1805.92, "word": " اختياره", "probability": 0.81591796875}, {"start": 1805.92, "end": 1806.64, "word": " لازرق", "probability": 0.65435791015625}, {"start": 1806.64, "end": 1807.26, "word": " مجرد", "probability": 0.9302978515625}, {"start": 1807.26, "end": 1807.52, "word": " هيك", "probability": 0.890869140625}, {"start": 1807.52, "end": 1807.98, "word": " مزاج", "probability": 0.94189453125}, {"start": 1807.98, "end": 1808.4, "word": " انا", "probability": 0.74609375}, {"start": 1808.4, "end": 1808.64, "word": " ممكن", "probability": 0.96533203125}, {"start": 1808.64, "end": 1809.0, "word": " اختارها", "probability": 0.94970703125}, {"start": 1809.0, "end": 1809.32, "word": " حمرا", "probability": 0.8170572916666666}, {"start": 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"end": 1840.7, "word": " ضال", "probability": 0.728515625}, {"start": 1840.7, "end": 1841.0, "word": " عليا", "probability": 0.58319091796875}, {"start": 1841.0, "end": 1841.24, "word": " لازم", "probability": 0.9529622395833334}, {"start": 1841.24, "end": 1841.62, "word": " يتساور", "probability": 0.825146484375}, {"start": 1841.62, "end": 1841.76, "word": " مش", "probability": 0.68505859375}, {"start": 1841.76, "end": 1842.0, "word": " لازم", "probability": 0.98779296875}, {"start": 1842.0, "end": 1842.46, "word": " يتساوى", "probability": 0.897705078125}, {"start": 1842.46, "end": 1843.34, "word": " لازم", "probability": 0.9033203125}, {"start": 1843.34, "end": 1844.44, "word": " يتساوى", "probability": 0.9842122395833334}, {"start": 1844.44, "end": 1845.36, "word": " كفوش", "probability": 0.74224853515625}, {"start": 1845.36, "end": 1845.64, "word": " opposite", "probability": 0.83154296875}, {"start": 1845.64, "end": 1845.86, "word": " و", "probability": 0.412353515625}, {"start": 1845.86, "end": 1846.14, "word": " بس", "probability": 0.974609375}, {"start": 1846.14, "end": 1846.66, "word": " لازم", "probability": 0.9943033854166666}, {"start": 1846.66, "end": 1847.02, "word": " يتساوى", "probability": 0.9812825520833334}, {"start": 1847.02, "end": 1847.26, "word": " عشان", "probability": 0.9814453125}, {"start": 1847.26, "end": 1847.76, "word": " أجمعهم", "probability": 0.757421875}, {"start": 1847.76, "end": 1848.1, "word": " يطلع", "probability": 0.9644775390625}, {"start": 1848.1, "end": 1848.5, "word": " zero", "probability": 0.59423828125}, {"start": 1848.5, "end": 1850.42, "word": " تمام", "probability": 0.985595703125}, {"start": 1850.42, "end": 1851.0, "word": " the", "probability": 0.6181640625}, {"start": 1851.0, "end": 1851.36, "word": " net", "probability": 0.958984375}, {"start": 1851.36, "end": 1851.9, "word": " force", "probability": 0.98193359375}, {"start": 1851.9, "end": 1852.48, "word": " to", "probability": 0.984375}, {"start": 1852.48, "end": 1852.68, "word": " be", "probability": 0.95703125}, {"start": 1852.68, "end": 1853.2, "word": " zero", "probability": 0.87060546875}], "temperature": 1.0}, {"id": 81, "seek": 187497, "start": 1858.45, "end": 1874.97, "text": "أفواح التلاتة يجب أن تكون أكتر من 4 بيكون أكتر من 4 بيكون أكتر من 4 بيكون أكتر", "tokens": [10721, 5172, 14407, 5016, 16712, 1211, 9307, 3660, 7251, 7435, 3555, 14739, 6055, 30544, 5551, 4117, 2655, 2288, 9154, 1017, 4724, 1829, 30544, 5551, 4117, 2655, 2288, 9154, 1017, 4724, 1829, 30544, 5551, 4117, 2655, 2288, 9154, 1017, 4724, 1829, 30544, 5551, 4117, 2655, 2288], "avg_logprob": -0.556385892888774, "compression_ratio": 1.9428571428571428, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1858.4499999999998, "end": 1859.85, "word": "أفواح", "probability": 0.44721221923828125}, {"start": 1859.85, "end": 1860.27, "word": " التلاتة", "probability": 0.79931640625}, {"start": 1860.27, "end": 1860.47, "word": " يجب", "probability": 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"text": "T بديش ياهو مش معطية sin θ معطية جسم المعادلة بينها على بعض divide equation one and two بتروح ال T و لا بتروحش ال T ممكن تفسر قمة T من المعادلة التانية تظبط بس عاجبك تشيل في هالشغل أسهل لها طبعا طريقة", "tokens": [51, 4724, 16254, 8592, 7251, 40294, 2407, 37893, 20449, 9566, 10632, 3343, 12622, 20449, 9566, 10632, 10874, 38251, 9673, 3615, 18513, 37977, 49374, 11296, 15844, 45030, 11242, 9845, 5367, 472, 293, 732, 39894, 32887, 5016, 2423, 314, 4032, 20193, 39894, 32887, 5016, 8592, 2423, 314, 3714, 43020, 6055, 36178, 2288, 12174, 46007, 314, 9154, 9673, 3615, 18513, 37977, 16712, 7649, 10632, 6055, 19913, 3555, 9566, 4724, 3794, 6225, 26108, 3555, 4117, 6055, 8592, 26895, 8978, 8032, 6027, 8592, 17082, 1211, 5551, 3794, 3224, 1211, 5296, 11296, 23032, 3555, 3615, 995, 23032, 16572, 28671], "avg_logprob": -0.36735372689176116, "compression_ratio": 1.5545023696682465, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2647.53, "end": 2647.77, "word": "T", 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"word": " تشيل", "probability": 0.7845052083333334}, {"start": 2660.93, "end": 2661.03, "word": " في", "probability": 0.46484375}, {"start": 2661.03, "end": 2661.43, "word": " هالشغل", "probability": 0.7591796875}, {"start": 2661.43, "end": 2662.31, "word": " أسهل", "probability": 0.87103271484375}, {"start": 2662.31, "end": 2662.47, "word": " لها", "probability": 0.68115234375}, {"start": 2662.47, "end": 2662.77, "word": " طبعا", "probability": 0.974609375}, {"start": 2662.77, "end": 2663.15, "word": " طريقة", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 115, "seek": 269288, "start": 2664.48, "end": 2692.88, "text": "لما اجسم one over two بتطلع عندى تانى الزاوية و لا لأ و بتصير F E على M G dividing equation one by equation two we obtain صار عندى تانى الزاوية بتساوي F E على M G F E بتساوي M هدى في خطأ هنا تلاتين في عشر و نصر بتلاتة يعني إما بتعملوا هدى و بتجيبوا هدى أو بتكليوها تلاتين في عشر و نصر بتلاتة لإن أنا بتحول اجرام ل kilogram شباب تمام", "tokens": [1211, 15042, 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بتكليوها", "probability": 0.697314453125}, {"start": 2689.12, "end": 2689.4, "word": " تلاتين", "probability": 0.9844970703125}, {"start": 2689.4, "end": 2689.48, "word": " في", "probability": 0.85400390625}, {"start": 2689.48, "end": 2689.6, "word": " عشر", "probability": 0.984375}, {"start": 2689.6, "end": 2689.7, "word": " و", "probability": 0.99365234375}, {"start": 2689.7, "end": 2689.88, "word": " نصر", "probability": 0.9879557291666666}, {"start": 2689.88, "end": 2690.42, "word": " بتلاتة", "probability": 0.973388671875}, {"start": 2690.42, "end": 2690.68, "word": " لإن", "probability": 0.5901692708333334}, {"start": 2690.68, "end": 2690.74, "word": " أنا", "probability": 0.28564453125}, {"start": 2690.74, "end": 2691.14, "word": " بتحول", "probability": 0.90380859375}, {"start": 2691.14, "end": 2691.42, "word": " اجرام", "probability": 0.75811767578125}, {"start": 2691.42, "end": 2691.52, "word": " ل", "probability": 0.58642578125}, {"start": 2691.52, "end": 2691.76, "word": " kilogram", "probability": 0.341552734375}, {"start": 2691.76, "end": 2692.26, "word": " شباب", "probability": 0.89990234375}, {"start": 2692.26, "end": 2692.88, "word": " تمام", "probability": 0.86669921875}], "temperature": 1.0}, {"id": 116, "seek": 270606, "start": 2693.3, "end": 2706.06, "text": "الخطأ المطبعي هو 30 في 10 أقل سالب 3 درب G 9.8 في تان ال 5", "tokens": [6027, 9778, 9566, 10721, 9673, 9566, 3555, 3615, 1829, 31439, 2217, 8978, 1266, 5551, 4587, 1211, 8608, 6027, 3555, 805, 11778, 25513, 460, 1722, 13, 23, 8978, 6055, 7649, 2423, 1025], "avg_logprob": -0.6440429463982582, "compression_ratio": 1.0459770114942528, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2693.3, "end": 2694.48, "word": "الخطأ", "probability": 0.628814697265625}, {"start": 2694.48, "end": 2694.48, "word": " المطبعي", "probability": 0.57880859375}, {"start": 2694.48, "end": 2694.48, "word": " هو", "probability": 0.272216796875}, {"start": 2694.48, "end": 2694.5, "word": " 30", 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"seek": 392594, "start": 3907.08, "end": 3925.94, "text": "الحكومة بتتناقص بيقول it is clear that if that charge Q is negative the direction of E will be reversed صح ولا لا؟ هذه شغلة منطقية هي صارت ذرجة بتبقى هيك E؟ لأ E هتصير هيك إذا صارت E اتجاه بيعتمد على مين؟", "tokens": [6027, 5016, 4117, 20498, 3660, 39894, 2655, 8315, 4587, 9381, 4724, 1829, 39648, 309, 307, 1850, 300, 498, 300, 4602, 1249, 307, 3671, 264, 3513, 295, 462, 486, 312, 30563, 20328, 5016, 49429, 20193, 22807, 29538, 13412, 17082, 1211, 3660, 9154, 9566, 4587, 10632, 39896, 20328, 9640, 2655, 29910, 2288, 7435, 3660, 39894, 3555, 4587, 7578, 39896, 4117, 462, 22807, 5296, 10721, 462, 8032, 2655, 9381, 13546, 39896, 4117, 11933, 15730, 20328, 9640, 2655, 462, 1975, 2655, 7435, 40294, 4724, 1829, 34268, 2304, 3215, 15844, 3714, 9957, 22807], "avg_logprob": -0.3263693820224719, "compression_ratio": 1.3796296296296295, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3907.08, "end": 3907.64, "word": 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"word": " magnitude", "probability": 0.97900390625}, {"start": 4316.68, "end": 4317.02, "word": " of", "probability": 0.982421875}, {"start": 4317.02, "end": 4317.5, "word": " E1", "probability": 0.8291015625}], "temperature": 1.0}, {"id": 189, "seek": 434410, "start": 4318.26, "end": 4344.1, "text": "و ال magnitude of E2 لو طلع ال magnitude of E1 خمسة و ال magnitude of E2 ثلاثة المagnitude of the total تمانية لأ انت عشان تجيب ال magnitude لكل واحد على حده فانت عليه بتلجأش تقول the magnitude of the resultant not equal to the sum of the magnitudes يعني", "tokens": [2407, 2423, 15668, 295, 462, 17, 45164, 23032, 1211, 3615, 2423, 15668, 295, 462, 16, 16490, 2304, 3794, 3660, 4032, 2423, 15668, 295, 462, 17, 38637, 1211, 5718, 104, 3660, 9673, 4535, 4377, 295, 264, 3217, 46811, 7649, 10632, 5296, 10721, 16472, 2655, 6225, 8592, 7649, 6055, 7435, 1829, 3555, 2423, 15668, 5296, 28820, 36764, 24401, 15844, 11331, 3215, 3224, 6156, 7649, 2655, 6225, 20292, 3224, 39894, 1211, 7435, 10721, 8592, 6055, 39648, 264, 15668, 295, 264, 1874, 394, 406, 2681, 281, 264, 2408, 295, 264, 4944, 16451, 37495, 22653], "avg_logprob": -0.25377747121748034, "compression_ratio": 1.7724867724867726, "no_speech_prob": 0.0, "words": [{"start": 4318.26, "end": 4318.44, "word": "و", "probability": 0.556640625}, {"start": 4318.44, "end": 4318.58, "word": " ال", "probability": 0.17822265625}, {"start": 4318.58, "end": 4318.94, "word": " magnitude", "probability": 0.68994140625}, {"start": 4318.94, "end": 4319.28, "word": " of", "probability": 0.96337890625}, {"start": 4319.28, "end": 4319.76, "word": " E2", "probability": 0.877197265625}, {"start": 4319.76, "end": 4320.3, "word": " لو", "probability": 0.818359375}, {"start": 4320.3, "end": 4320.56, "word": " طلع", "probability": 0.97021484375}, {"start": 4320.56, "end": 4320.64, "word": " ال", "probability": 0.74658203125}, {"start": 4320.64, "end": 4320.96, "word": " magnitude", "probability": 0.96533203125}, {"start": 4320.96, "end": 4321.28, "word": " of", "probability": 0.94091796875}, {"start": 4321.28, "end": 4321.74, "word": " E1", "probability": 0.96875}, {"start": 4321.74, "end": 4322.34, "word": " خمسة", "probability": 0.8712158203125}, {"start": 4322.34, "end": 4322.7, "word": " و", "probability": 0.55712890625}, {"start": 4322.7, "end": 4322.78, "word": " ال", "probability": 0.68798828125}, {"start": 4322.78, "end": 4323.16, "word": " magnitude", "probability": 0.9619140625}, {"start": 4323.16, "end": 4323.52, "word": " of", "probability": 0.966796875}, {"start": 4323.52, "end": 4324.0, "word": " E2", "probability": 0.991943359375}, {"start": 4324.0, "end": 4324.7, "word": " ثلاثة", "probability": 0.93671875}, {"start": 4324.7, "end": 4325.54, "word": " المagnitude", "probability": 0.681396484375}, {"start": 4325.54, "end": 4325.8, "word": " of", "probability": 0.96337890625}, {"start": 4325.8, "end": 4325.94, "word": " the", "probability": 0.82470703125}, {"start": 4325.94, "end": 4326.26, "word": " total", "probability": 0.87109375}, {"start": 4326.26, "end": 4326.76, "word": " تمانية", "probability": 0.8821614583333334}, {"start": 4326.76, "end": 4328.08, "word": " لأ", "probability": 0.58282470703125}, {"start": 4328.08, "end": 4329.32, "word": " انت", "probability": 0.791748046875}, {"start": 4329.32, "end": 4329.56, "word": " عشان", "probability": 0.9749348958333334}, {"start": 4329.56, "end": 4329.74, "word": " تجيب", "probability": 0.974853515625}, {"start": 4329.74, "end": 4329.8, "word": " ال", "probability": 0.486328125}, {"start": 4329.8, "end": 4330.06, "word": " magnitude", "probability": 0.94482421875}, {"start": 4330.06, "end": 4330.38, "word": " لكل", "probability": 0.9033203125}, {"start": 4330.38, "end": 4330.6, "word": " واحد", "probability": 0.99267578125}, {"start": 4330.6, "end": 4330.76, "word": " على", "probability": 0.68115234375}, {"start": 4330.76, "end": 4331.86, "word": " حده", "probability": 0.620361328125}, {"start": 4331.86, "end": 4332.6, "word": " فانت", "probability": 0.5318196614583334}, {"start": 4332.6, "end": 4333.1, "word": " عليه", "probability": 0.5835774739583334}, {"start": 4333.1, "end": 4334.04, "word": " بتلجأش", "probability": 0.654833984375}, {"start": 4334.04, "end": 4334.48, "word": " تقول", "probability": 0.99169921875}, {"start": 4334.48, "end": 4335.02, "word": " the", "probability": 0.568359375}, {"start": 4335.02, "end": 4335.68, "word": " magnitude", "probability": 0.916015625}, {"start": 4335.68, "end": 4336.3, "word": " of", "probability": 0.96875}, {"start": 4336.3, "end": 4336.78, "word": " the", "probability": 0.9033203125}, {"start": 4336.78, "end": 4338.82, "word": " resultant", "probability": 0.768310546875}, {"start": 4338.82, "end": 4339.6, "word": " not", "probability": 0.79150390625}, {"start": 4339.6, "end": 4340.04, "word": " equal", "probability": 0.90087890625}, {"start": 4340.04, "end": 4340.4, "word": " to", "probability": 0.9765625}, {"start": 4340.4, "end": 4340.6, "word": " the", "probability": 0.80712890625}, {"start": 4340.6, "end": 4340.82, "word": " sum", "probability": 0.9658203125}, {"start": 4340.82, "end": 4340.98, "word": " of", "probability": 0.98095703125}, {"start": 4340.98, "end": 4341.12, "word": " the", "probability": 0.8603515625}, {"start": 4341.12, "end": 4341.78, "word": " magnitudes", "probability": 0.868408203125}, {"start": 4341.78, "end": 4344.1, "word": " يعني", "probability": 0.911865234375}], "temperature": 1.0}, {"id": 190, "seek": 437229, "start": 4345.35, "end": 4372.29, "text": "المقدار تبع المحصلة شباب لا يسوء مجموع المقادير انت بتسويش انت بتجيب المقدار عشان بعد كده تكتب ك vector بتقول المقدار زي الاتجاه و بتحط جنب الاتجاه انت بتكترها هذه انت بتجيب المقدار بس ل E1 و بس ل E2 لكن المقدار لل E total لا يسوء the sum of the magnitudes لكل ال electric fields تمام؟ غيره شباب", "tokens": [45340, 28543, 9640, 6055, 3555, 3615, 9673, 5016, 9381, 37977, 13412, 3555, 16758, 20193, 7251, 3794, 2407, 38207, 3714, 7435, 2304, 45367, 9673, 4587, 18513, 13546, 16472, 2655, 39894, 3794, 45865, 8592, 16472, 2655, 39894, 7435, 1829, 3555, 9673, 28543, 9640, 6225, 8592, 7649, 39182, 9122, 3215, 3224, 6055, 4117, 2655, 3555, 9122, 8062, 39894, 39648, 9673, 28543, 9640, 30767, 1829, 2423, 9307, 7435, 40294, 4032, 39894, 5016, 9566, 10874, 1863, 3555, 2423, 9307, 7435, 40294, 16472, 2655, 39894, 4117, 2655, 2288, 11296, 29538, 16472, 2655, 39894, 7435, 1829, 3555, 9673, 28543, 9640, 4724, 3794, 5296, 462, 16, 4032, 4724, 3794, 5296, 462, 17, 44381, 9673, 28543, 9640, 24976, 462, 3217, 20193, 7251, 3794, 2407, 38207, 264, 2408, 295, 264, 4944, 16451, 5296, 28820, 2423, 5210, 7909, 46811, 10943, 22807, 32771, 13546, 3224, 13412, 3555, 16758], "avg_logprob": -0.25570255822508875, "compression_ratio": 1.8715953307392996, "no_speech_prob": 0.0, "words": [{"start": 4345.349999999999, "end": 4346.11, "word": "المقدار", "probability": 0.9095052083333334}, {"start": 4346.11, "end": 4346.43, "word": " تبع", "probability": 0.72607421875}, {"start": 4346.43, "end": 4347.65, "word": " المحصلة", "probability": 0.70855712890625}, {"start": 4347.65, "end": 4348.15, "word": " شباب", "probability": 0.805908203125}, {"start": 4348.15, "end": 4348.67, "word": " لا", "probability": 0.413818359375}, {"start": 4348.67, "end": 4349.03, "word": " يسوء", "probability": 0.7239990234375}, {"start": 4349.03, "end": 4349.41, "word": " مجموع", "probability": 0.9632568359375}, {"start": 4349.41, "end": 4350.23, "word": " المقادير", "probability": 0.943359375}, {"start": 4350.23, "end": 4350.97, "word": " انت", "probability": 0.59832763671875}, {"start": 4350.97, "end": 4351.71, "word": " بتسويش", "probability": 0.747100830078125}, {"start": 4351.71, "end": 4352.47, "word": " انت", "probability": 0.83154296875}, {"start": 4352.47, "end": 4352.81, "word": " بتجيب", "probability": 0.9735107421875}, {"start": 4352.81, "end": 4353.37, "word": " المقدار", "probability": 0.97998046875}, {"start": 4353.37, "end": 4353.65, "word": " عشان", "probability": 0.96142578125}, {"start": 4353.65, "end": 4353.83, "word": " بعد", "probability": 0.83349609375}, {"start": 4353.83, "end": 4354.11, "word": " كده", "probability": 0.947265625}, {"start": 4354.11, "end": 4354.43, "word": " تكتب", "probability": 0.9796142578125}, {"start": 4354.43, "end": 4354.57, "word": " ك", "probability": 0.96630859375}, {"start": 4354.57, "end": 4354.95, "word": " vector", "probability": 0.81640625}, {"start": 4354.95, "end": 4355.23, "word": " بتقول", "probability": 0.7076416015625}, {"start": 4355.23, "end": 4355.61, "word": " المقدار", "probability": 0.8194986979166666}, {"start": 4355.61, "end": 4355.77, "word": " زي", "probability": 0.80126953125}, {"start": 4355.77, "end": 4356.09, "word": " الاتجاه", "probability": 0.7943115234375}, {"start": 4356.09, "end": 4356.45, "word": " و", "probability": 0.55224609375}, {"start": 4356.45, "end": 4356.77, "word": " بتحط", "probability": 0.5030924479166666}, {"start": 4356.77, "end": 4356.93, "word": " جنب", "probability": 0.7960611979166666}, {"start": 4356.93, "end": 4357.59, "word": " الاتجاه", "probability": 0.9488525390625}, {"start": 4357.59, "end": 4358.19, "word": " انت", "probability": 0.788330078125}, {"start": 4358.19, "end": 4358.77, "word": " بتكترها", "probability": 0.4659912109375}, {"start": 4358.77, "end": 4359.15, "word": " هذه", "probability": 0.50244140625}, {"start": 4359.15, "end": 4359.65, "word": " انت", "probability": 0.88427734375}, {"start": 4359.65, "end": 4359.91, "word": " بتجيب", "probability": 0.98681640625}, {"start": 4359.91, "end": 4360.31, "word": " المقدار", "probability": 0.9793294270833334}, {"start": 4360.31, "end": 4360.61, "word": " بس", "probability": 0.908935546875}, {"start": 4360.61, "end": 4360.73, "word": " ل", "probability": 0.8310546875}, {"start": 4360.73, "end": 4361.25, "word": " E1", "probability": 0.3350830078125}, {"start": 4361.25, "end": 4361.83, "word": " و", "probability": 0.85400390625}, {"start": 4361.83, "end": 4362.11, "word": " بس", "probability": 0.85400390625}, {"start": 4362.11, "end": 4362.23, "word": " ل", "probability": 0.943359375}, {"start": 4362.23, "end": 4362.73, "word": " E2", "probability": 0.86181640625}, {"start": 4362.73, "end": 4363.37, "word": " لكن", "probability": 0.92041015625}, {"start": 4363.37, "end": 4364.07, "word": " المقدار", "probability": 0.98681640625}, {"start": 4364.07, "end": 4364.25, "word": " لل", "probability": 0.456787109375}, {"start": 4364.25, "end": 4364.43, "word": " E", "probability": 0.94091796875}, {"start": 4364.43, "end": 4364.87, "word": " total", "probability": 0.73583984375}, {"start": 4364.87, "end": 4365.53, "word": " لا", "probability": 0.79833984375}, {"start": 4365.53, "end": 4366.21, "word": " يسوء", "probability": 0.868896484375}, {"start": 4366.21, "end": 4366.35, "word": " the", "probability": 0.544921875}, {"start": 4366.35, "end": 4366.67, "word": " sum", "probability": 0.9580078125}, {"start": 4366.67, "end": 4366.89, "word": " of", "probability": 0.984375}, {"start": 4366.89, "end": 4367.05, "word": " the", "probability": 0.86572265625}, {"start": 4367.05, "end": 4367.79, "word": " magnitudes", "probability": 0.724853515625}, {"start": 4367.79, "end": 4368.79, "word": " لكل", "probability": 0.946044921875}, {"start": 4368.79, "end": 4368.95, "word": " ال", "probability": 0.9560546875}, {"start": 4368.95, "end": 4369.19, "word": " electric", "probability": 0.822265625}, {"start": 4369.19, "end": 4369.71, "word": " fields", "probability": 0.7724609375}, {"start": 4369.71, "end": 4371.35, "word": " تمام؟", "probability": 0.6678059895833334}, {"start": 4371.35, "end": 4371.93, "word": " غيره", "probability": 0.9803059895833334}, {"start": 4371.93, "end": 4372.29, "word": " شباب", "probability": 0.95556640625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 4375.638, "duration_after_vad": 4260.813468749995}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..211d1796669ae81cceb1f47dd76063ed2c3782c7
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mq9ES7diiiw.srt
@@ -0,0 +1,1298 @@
+1
+00:00:09,780 --> 00:00:14,180
+أهلا و مرحبا بنا في كمان مرة بنبدأ بالشابتر السابع
+
+2
+00:00:15,070 --> 00:00:21,090
+باللي حكينا عنه هو بداية المغناطيسية يا شباب يعني
+
+3
+00:00:21,090 --> 00:00:23,790
+احنا بنهاية الشابتر السادس من كل أنهينا الكهرباء
+
+4
+00:00:23,790 --> 00:00:28,050
+كلها اللي جزمناها electrostatic و electrodynamic
+
+5
+00:00:28,050 --> 00:00:30,890
+بمعنى آخر كهرباء ساكنة أو كهرباء ديناميكية آخر
+
+6
+00:00:30,890 --> 00:00:33,870
+شابترين كانوا بيحكوا عن الكهرباء الديناميكية الآن
+
+7
+00:00:33,870 --> 00:00:38,590
+بدنا نفوت على موضوع المغناطيسية طبعا الهدف بعد كده
+
+8
+00:00:38,590 --> 00:00:43,260
+أن المسمى بيبقى اسمه لا كهرباء ولا مغناطيسية ولا
+
+9
+00:00:43,260 --> 00:00:45,920
+electricity and magnetism زمان كان يسموه بصراحة
+
+10
+00:00:45,920 --> 00:00:48,580
+يسموه نظرية كهرومغناطيسية electromagnetic theory
+
+11
+00:00:48,580 --> 00:00:53,240
+electromagnetic theory ليش؟ لأن الكهرباء بتولد
+
+12
+00:00:53,240 --> 00:00:57,320
+مغناطيسية و المغناطيسية بتولد كهرباء زي ما بيحكوا
+
+13
+00:00:57,320 --> 00:01:00,840
+من قبل الدجاجة ولا البيضة تمام؟ بس احنا عارفين من
+
+14
+00:01:00,840 --> 00:01:03,920
+قبل الآن الكهرباء قبل المغناطيسية يا شباب أصل
+
+15
+00:01:03,920 --> 00:01:08,120
+المغناطيسية كهرباء تمام؟ أصل المغناطيسية مش حادثة
+
+16
+00:01:08,120 --> 00:01:12,940
+قدك تشوف chapter civil magnetic field المجال
+
+17
+00:01:12,940 --> 00:01:18,840
+المغناطيسي عنوان قبل أن الناس تلاقيه اللي بتجي
+
+18
+00:01:18,840 --> 00:01:22,600
+خلينا نرتاح هنا شوية قبل ما يخلصوا تمام مكتوبين
+
+19
+00:01:22,600 --> 00:01:25,620
+عندكم وصلا عارفين المفروض الواجبات موجودة عندكم إن
+
+20
+00:01:25,620 --> 00:01:29,780
+شاء الله تكونوا من حلهم إن شاء الله أنت شوفوا زي ما
+
+21
+00:01:29,780 --> 00:01:33,200
+أنتم شوفتوا أسئلة الحل اللي بنجيبها الأربعة غالبا
+
+22
+00:01:33,200 --> 00:01:36,360
+من الكتاب يعني غالبا من الكتاب مشابه لها يعني في
+
+23
+00:01:36,360 --> 00:01:40,200
+الكتاب كان فيه نص رجيج جبناكم ربع بس مش أكثر
+
+24
+00:01:40,200 --> 00:01:45,880
+فحلها بس المهم إن واحد يكون عنده مألوفة الشغل كيف
+
+25
+00:01:45,880 --> 00:01:49,400
+يتعامل معها تمام هذه الأسئلة 
+
+26
+00:01:52,130 --> 00:01:56,170
+introduction طبعا introduction بقول التالي بقول it
+
+27
+00:01:56,170 --> 00:01:58,850
+was found طبعا أنتم عارفين إنه برضه معلومة
+
+28
+00:01:58,850 --> 00:02:03,610
+تاريخية أن المغناطيسية بالرغم أن سببها الكهرباء
+
+29
+00:02:03,610 --> 00:02:08,550
+أنها اكتشفت قبل الكهرباء بمئات السنين المغناطيسية
+
+30
+00:02:08,550 --> 00:02:12,270
+كظاهرة انعرفت من زمان و أول إن أنتم عارفين
+
+31
+00:02:12,270 --> 00:02:15,310
+البوصلة و مش عارف إيش هذه الشغلات فبالتالي ظاهرة
+
+32
+00:02:15,310 --> 00:02:19,190
+المغناطيسية كانت معروفة من مئات السنين و أيه
+
+33
+00:02:19,190 --> 00:02:21,370
+الكهرباء لما اكتشفت؟ في الآخر الناس يقولوا إن
+
+34
+00:02:21,370 --> 00:02:24,090
+المغناطيسية أصلها كهرباء أصلا بقول 
+
+35
+00:02:26,030 --> 00:02:29,450
+هذه بقول لك عنها .. هذي بقول لك عنها .. أنا عرضت عنها في
+
+36
+00:02:29,450 --> 00:02:33,230
+أحد المحاضرات بس هذيات بقول لك إيه هو it was found when
+
+37
+00:02:33,230 --> 00:02:37,090
+a magnet مع نقيس اللي كان هو ما كانش فيه من زمان و
+
+38
+00:02:37,090 --> 00:02:40,510
+مش عارفين من وين جه صنعه ولا إيش صار فيه
+
+39
+00:02:40,510 --> 00:02:43,130
+suspended from its center algo إيش بيصير فيه؟
+
+40
+00:02:43,130 --> 00:02:46,350
+بالضبط لو وجهته هيك بتوجه ولا لازم يلوف و يقلب و
+
+41
+00:02:46,350 --> 00:02:49,770
+يروح شمال جنوب مظبط ولا لأ it is found .. هذي
+
+42
+00:02:49,770 --> 00:02:52,210
+ظاهرة طبيعية من زمان بيعرفوها أجدادنا و أجداد
+
+43
+00:02:52,210 --> 00:02:56,010
+أجدادنا Suspended from its center, it tends to
+
+44
+00:02:56,010 --> 00:02:59,450
+align itself up in a north-south direction، دائما
+
+45
+00:02:59,450 --> 00:03:01,750
+تروح شمالي جنوب، عشان كده كانوا يعرفوا ال
+
+46
+00:03:01,750 --> 00:03:04,650
+direction منه، إن هو شمال ولا جنوب، دائما تروح
+
+47
+00:03:04,650 --> 00:03:07,470
+شمال جنوب، تمام، ال locomotive bus نيدي اللي
+
+48
+00:03:07,470 --> 00:03:11,030
+بنسميها البوصلة احنا، تمام، the north end is
+
+49
+00:03:11,030 --> 00:03:14,050
+called the north pole، قالوا ال north end خلوه
+
+50
+00:03:14,050 --> 00:03:18,330
+North Pole سموه North Pole تمام؟ and the south end
+
+51
+00:03:18,330 --> 00:03:21,510
+is called the south pole قطب شمالي و قطب جنوبي
+
+52
+00:03:21,510 --> 00:03:26,230
+سموه إذا المغناطيس بيروح شرق غرب بيروح شرق غرب روحش
+
+53
+00:03:26,230 --> 00:03:29,370
+اللي شمال جنوب قالوا اللي رايح شمال سموه شمال و
+
+54
+00:03:29,370 --> 00:03:33,710
+اللي رايح جنوب سموه جنوب رايحين حالة تمام؟ استخدام
+
+55
+00:03:33,710 --> 00:03:34,230
+الانترنت لا يمكن أن يكون ايسوليتدا إنترنتين لا
+
+56
+00:03:34,230 --> 00:03:54,830
+يمكن أن يكون ايسوليتدا إنترنتين
+
+57
+00:03:57,660 --> 00:04:02,260
+يجيب مناشته ودوس .. بصيرها دي الساعة ثمانية و نصف
+
+58
+00:04:02,260 --> 00:04:05,120
+.. بص .. بصيرها الساعة ثمانية و نصف .. من جسمه ..
+
+59
+00:04:05,120 --> 00:04:08,480
+بتلاقيش بول لحاله .. فبصموها .. فش مونو بول في
+
+60
+00:04:08,480 --> 00:04:11,760
+المغناطيسية .. مونو يعني مفردي .. فش .. دائما ضايب
+
+61
+00:04:11,760 --> 00:04:15,380
+بول زي ما يكون موجود .. تمام؟ بقول these two poles
+
+62
+00:04:15,380 --> 00:04:18,660
+can't be isolated .. that is poles always appear
+
+63
+00:04:18,660 --> 00:04:21,600
+in pairs .. دائما بيكونوا زوجين .. opposite poles
+
+64
+00:04:21,600 --> 00:04:23,800
+attract each other while like poles repel each
+
+65
+00:04:23,800 --> 00:04:27,500
+other .. زي ملاكة الكهرباء .. الأقطاب المتشابهة
+
+66
+00:04:27,500 --> 00:04:31,620
+بتتنافر و الأقطاب المختلفة المتشابهة المختلفة
+
+67
+00:04:31,620 --> 00:04:37,780
+بتتجاذب تمام؟ بيقول as for the electric field فجيت
+
+68
+00:04:37,780 --> 00:04:39,900
+عندك شحنة موجبة و شحنة سالبة صار في عندك مجال
+
+69
+00:04:39,900 --> 00:04:42,600
+كهربائي ولا لا؟ عندك مغناطيس إذا صار في مجال
+
+70
+00:04:42,600 --> 00:04:46,530
+مغناطيسي ولا لا؟ جرب مصمار إيش بيصير فيه؟ إذا تأثر
+
+71
+00:04:46,530 --> 00:04:50,410
+المسمار لما تجربه بتأثر هي المغناطيس اللي لو حطه
+
+72
+00:04:50,410 --> 00:04:54,130
+المسمار في مجالها بتأثر؟ لأ لازم المسمار يصير إيش؟
+
+73
+00:04:54,130 --> 00:04:58,610
+في مجال المغناطيس، إذا المغناطيس إنه مجال كي بيجي
+
+74
+00:04:58,610 --> 00:05:01,130
+يعملوا، يقول إنه مجال كهرباء، مش المجال الكهربائي
+
+75
+00:05:01,130 --> 00:05:05,800
+مثلته بخطوط مثل المجال المغناطيسي بخطوط و بنفس القاعدة
+
+76
+00:05:05,800 --> 00:05:10,140
+المجال المغناطيسي يمثل بخطوط بتبدأ من قطب الشمال
+
+77
+00:05:10,140 --> 00:05:14,140
+بتروح لقطب الجنوب عدد الخطوط بتتناسب طرديا مع شدة
+
+78
+00:05:14,140 --> 00:05:20,300
+المجال تمام؟ في عندي خلاف
+
+79
+00:05:20,300 --> 00:05:24,500
+واحد إن الخطوط في المجال الكهربائي بتعملش دوائر
+
+80
+00:05:24,500 --> 00:05:28,620
+مغلقة هنا بتعمل نقول إيش for the electric field؟ زي
+
+81
+00:05:28,620 --> 00:05:31,240
+ما عملت في المجال الكهربائي، we represent the
+
+82
+00:05:31,240 --> 00:05:35,440
+magnetic field by field lines، خطوط مجال، called
+
+83
+00:05:35,440 --> 00:05:40,640
+the magnetic field lines، نفس التسمية، these lines
+
+84
+00:05:40,640 --> 00:05:43,800
+can be drawn such that، نبدأ، كيف بدنا نرسمهم؟ زي
+
+85
+00:05:43,800 --> 00:05:50,120
+ذلك، they point out from the north pole and toward
+
+86
+00:05:50,120 --> 00:05:53,300
+the south pole of a magnet، من موجب لسالب، من
+
+87
+00:05:53,300 --> 00:06:00,160
+north ل south،الاتجاه للطبية المغامرة في أي موقع
+
+88
+00:06:00,160 --> 00:06:05,190
+مرتبط بهذه القطع مثل المجال الكهرباء النسبة للمجال
+
+89
+00:06:05,190 --> 00:06:08,470
+العالي في المجال المجالي هو مقارنة بالقوة المغناطيسية
+
+90
+00:06:08,470 --> 00:06:12,610
+يعني لما يكونوا أكثر تنس كفر فترم عالية معناته
+
+91
+00:06:12,610 --> 00:06:16,410
+المجال عالي ولا لأ المجال عالي نفس القبلية بيقول
+
+92
+00:06:16,410 --> 00:06:19,350
+notice that the magnetic field lines continue
+
+93
+00:06:19,350 --> 00:06:23,670
+inside the magnet بيخش جوه ال magnet يعني بيخلصش
+
+94
+00:06:23,670 --> 00:06:29,040
+عند ال north أو ال south لأ بيضلوا ماشين تصبح
+
+95
+00:06:29,040 --> 00:06:31,880
+مجموعات مقاومة مختلفة من الـElectric Field Lines
+
+96
+00:06:31,880 --> 00:06:36,120
+التي تبدأ على تشجيعات مفيدة و تنتهي على تشجيعات
+
+97
+00:06:36,120 --> 00:06:38,700
+مفيدة هيبقوا خلصوا عند الـ Negative هتبقوا على
+
+98
+00:06:38,700 --> 00:06:45,580
+عجوبة و بعدين بكمل الـEarth is considered as a
+
+99
+00:06:45,580 --> 00:06:50,420
+magnet القول الأرضية مغناطيس كيف؟ بيقول لي قطبها
+
+100
+00:06:50,420 --> 00:06:53,900
+الشمالي الجغرافي هو قطب الجنوب المغناطيسي لها عشان
+
+101
+00:06:53,900 --> 00:06:59,220
+كده لما تجيب مغناطيس مش بيقول المختلف بيتجذب هناك
+
+102
+00:06:59,220 --> 00:07:03,660
+فيه قطب جنوبي عشان كده قطب الشمال بتبع المغناطيس
+
+103
+00:07:03,660 --> 00:07:05,820
+بيروح عليه بيتجذبه
+
+104
+00:07:09,130 --> 00:07:09,970
+لأ هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو ..
+
+105
+00:07:09,970 --> 00:07:10,410
+هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو
+
+106
+00:07:10,410 --> 00:07:10,430
+.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو ..
+
+107
+00:07:10,430 --> 00:07:13,930
+هو .. هو .. هو .. هو ..
+
+108
+00:07:13,930 --> 00:07:19,310
+هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو
+
+109
+00:07:19,310 --> 00:07:19,350
+.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو ..
+
+110
+00:07:19,350 --> 00:07:21,030
+هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو
+
+111
+00:07:21,030 --> 00:07:21,250
+.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو ..
+
+112
+00:07:21,250 --> 00:07:21,630
+.. هو .. هو .. هو .. هو .. هو .. هو .. هو .. هو ..
+
+113
+00:07:21,630 --> 00:07:30,390
+.. هو .. هو .. هو .. هو .. هو .. مش بعيد عنها الأرض
+
+114
+00:07:30,390 --> 00:07:36,150
+مستخدمة كمغناطيس مع نفسها جيغراميكسية بول في مصر بول
+
+115
+00:07:36,150 --> 00:07:39,170
+يعني المصر بول المغناطيسي في جنوب أفريقيا
+
+116
+00:07:41,700 --> 00:07:44,440
+تمام؟ و القطب الجنوب المغناطيسي هو في القطب
+
+117
+00:07:44,440 --> 00:07:49,600
+الشمالي الجغرافي تمام؟ هو .. هو .. لما جيب
+
+118
+00:07:49,600 --> 00:07:52,000
+المغناطيس .. لما جيب المغناطيس .. جالوا واحد و
+
+119
+00:07:52,000 --> 00:07:55,420
+رايح شمال .. بتسميه جنوب؟ خلوه يسموه شمال .. تمام؟
+
+120
+00:07:55,420 --> 00:07:58,340
+لما اكتشفوا إن الشمال بع الشمال بتتنافر .. جالوا
+
+121
+00:07:58,340 --> 00:08:02,210
+إذا مش صحيح يكون .. الجاذبية الأرضية قطبها الشمالي
+
+122
+00:08:02,210 --> 00:08:05,450
+المغناطيسي هناك و اللي بيصير الشمال مع الشمال
+
+123
+00:08:05,450 --> 00:08:08,850
+بيقولوا هذا نسميه الشمالي و صار جنوب سببت معاهم
+
+124
+00:08:08,850 --> 00:08:12,270
+فهكذا نسميه تمام تمام this explained revolution or
+
+125
+00:08:12,270 --> 00:08:17,470
+suspended magnet و هذا بيسميها طبعا هذا الخطوط
+
+126
+00:08:17,470 --> 00:08:19,930
+بدلها ماشية و هذه بولت الحديد اللي خذتوها في
+
+127
+00:08:19,930 --> 00:08:23,090
+المدارس هذه الرسمة الحقيقية لبوصلة الحديد حطوا
+
+128
+00:08:23,090 --> 00:08:25,030
+مغناطيس و حطوا برادة هذا ال north و هذا ال south
+
+129
+00:08:25,030 --> 00:08:28,750
+فبكون الشكل اللي طبعا ما حطوش ال direction هذه
+
+130
+00:08:28,750 --> 00:08:32,430
+الرسمة الحقيقية لكن لما يرسموا هي ال direction ال
+
+131
+00:08:32,430 --> 00:08:35,730
+direction بهذا ال north و هذا ال south من ال north
+
+132
+00:08:35,730 --> 00:08:41,430
+لـ ال south و بكمل احنا الكهرباء كانت انحراف و ادفع صح؟
+
+133
+00:08:41,570 --> 00:08:44,950
+أما هذا بيكمل يوم بيعمل closed loops هذا الرسم
+
+134
+00:08:44,950 --> 00:08:51,230
+اللي طالع برضه جبته أنا من ال net حاجات زي كده .. أوه
+
+135
+00:08:51,230 --> 00:08:56,070
+زي كده .. بس تشوف وين موجودة .. ده .. أديها .. حاجات
+
+136
+00:08:56,070 --> 00:08:59,130
+.. تطلعوا .. هو هنا يمكن يجيبها سنة شوية لأ هذي
+
+137
+00:08:59,130 --> 00:09:01,730
+بيجيبها أفضل .. ما ينفعش أنا أعمل طالعها magnetic
+
+138
+00:09:01,730 --> 00:09:06,690
+field and forces إيش أصل المغناطيسية؟ يقول التالي a
+
+139
+00:09:06,690 --> 00:09:09,310
+moving charge .. a moving charge
+
+140
+00:09:12,070 --> 00:09:12,430
+أو مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+141
+00:09:12,430 --> 00:09:14,770
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+142
+00:09:14,770 --> 00:09:19,150
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+143
+00:09:19,150 --> 00:09:19,770
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+144
+00:09:19,770 --> 00:09:26,670
+مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد
+
+145
+00:09:26,670 --> 00:09:31,150
+مجرد
+
+146
+00:09:37,680 --> 00:09:42,920
+in the space around it، حاجة نيجي، في عندك جسم، مش
+
+147
+00:09:42,920 --> 00:09:49,690
+فيه شحنات بتلف، إيش تركيب الجسم؟ ذرات إيش عشان
+
+148
+00:09:49,690 --> 00:09:52,450
+حواليها الإلكترونيات أيه كيف الإلكترونيات اللي
+
+149
+00:09:52,450 --> 00:09:57,910
+أخذتوها؟ بتدور .. بتدور حوالي النواة .. إذا هاي
+
+150
+00:09:57,910 --> 00:10:02,490
+أصل ظاهرة المغناطيسية دوران الإلكترون حوالي
+
+151
+00:10:02,490 --> 00:10:05,830
+النواة الإلكترون شحنة ولا مش شحنة؟ ساكنة ولا
+
+152
+00:10:05,830 --> 00:10:10,240
+متحركة؟ إذا هاي مجال مغناطيسي إذا كل المادة فيها
+
+153
+00:10:10,240 --> 00:10:13,800
+مجال مغناطيس، هرجيت، طب ليش مش كل المواد مغناطيس؟
+
+154
+00:10:13,800 --> 00:10:17,700
+بقول يوه، فيه مائة ألف مجال مغناطيس كل واحد شرايته
+
+155
+00:10:17,700 --> 00:10:22,120
+عشان التوقف، اجمعهم مع بعض، بيطلع Zero، رقمهم، بيطلع
+
+156
+00:10:22,120 --> 00:10:26,100
+عند القيمة عشان كده لما حكينا على حكاية ال
+
+157
+00:10:26,100 --> 00:10:28,620
+polarization إذا كنتم ذاكريني لما حطيت أنا ال
+
+158
+00:10:28,620 --> 00:10:31,860
+diameter جوه الـ capacitor و كيف أنا رتبت الـ dipoles
+
+159
+00:10:31,860 --> 00:10:35,000
+وجدت لكم في المجال المغناطيسي إيش بيصير فيه؟ بجيب
+
+160
+00:10:35,000 --> 00:10:39,240
+مجال الحديد بحطها في المجال المغناطيسي تترتب بجيبها
+
+161
+00:10:39,240 --> 00:10:42,100
+من المجال المغناطيسي بتبقى مرتبة في بعض المواد
+
+162
+00:10:42,100 --> 00:10:45,500
+بتجيب مجال مغناطيسي بترتبها بتقول هي أجالي بتطلق
+
+163
+00:10:45,500 --> 00:10:48,640
+حاجة عاوزة تخربش تمام؟ إذا في بعض المواد اللي
+
+164
+00:10:48,640 --> 00:10:52,420
+بيسميها Ferro magnetic materials حاجة دي لما
+
+165
+00:10:52,420 --> 00:10:56,700
+أرتبها و أجمة المؤثر بتجيبها مرتبة عشان كده في
+
+166
+00:10:56,700 --> 00:11:00,540
+مغناطيس بيسموه مغناطيس كهربائي شباب تبع الجرس
+
+167
+00:11:00,540 --> 00:11:04,280
+الذاكرينه؟ هذا المغناطيس الكهربائي أيه؟ هذا مُعقد، دي
+
+168
+00:11:04,280 --> 00:11:08,320
+مطية كهربائية بدله؟ لأ، أما المغناطيس الدائم، اللي هو
+
+169
+00:11:08,320 --> 00:11:10,580
+المغناطيس اللي بنستخدمه في الـMagnetic Materials
+
+170
+00:11:10,580 --> 00:11:14,800
+إذا الـMagnetic Materials هو بيكون الـDipoles
+
+171
+00:11:14,800 --> 00:11:17,380
+تبعونه مرتبين، عشان كده بيكون فيه مجال
+
+172
+00:11:17,380 --> 00:11:22,420
+مغناطيسي، مت، لكن كل مادة جواها فيه مجال مغناطيسي،
+
+173
+00:11:22,420 --> 00:11:26,830
+لكن بيكون المحصلة تبعته بالصفر ليش؟ إنه randomly
+
+174
+00:11:26,830 --> 00:11:29,810
+oriented .. randomly oriented .. لكن لما تكون
+
+175
+00:11:29,810 --> 00:11:34,210
+
+201
+00:13:11,650 --> 00:13:16,170
+شحنة بتولد مجال كهربائي صح؟ طب كل شحنة موجودة في
+
+202
+00:13:16,170 --> 00:13:20,030
+مجال كهربائي إيش بيصير فيها؟ بتتأثر بقوة كهربية
+
+203
+00:13:20,030 --> 00:13:27,010
+زيها كل شحنة متحركة بتولد مجال مغناطيسي كل شحنة 
+
+204
+00:13:27,010 --> 00:13:31,630
+متحركة في مجال مغناطيسي بتتأثر بقوة مغناطيسية بنفس
+
+205
+00:13:31,630 --> 00:13:37,830
+إيه المفهوم؟ تمام، بقول any moving charge any moving
+
+206
+00:13:37,830 --> 00:13:41,930
+charge exist in the region of magnetic field ال
+
+207
+00:13:41,930 --> 00:13:45,570
+magnetic field شباب من يوم أطلع عيش رمزه capital P
+
+208
+00:13:45,570 --> 00:13:48,550
+المجال الكهربائي capital E المجال المغناطيسي 
+
+209
+00:13:48,550 --> 00:13:51,350
+capital B هي فيه شحنة موجودة في المجال المغناطيسي
+
+210
+00:13:51,350 --> 00:13:55,670
+ساكنة ولا تتأثر حركتها تتأثر بقوة مغناطيسية will
+
+211
+00:13:55,670 --> 00:13:59,510
+be affected by a magnetic force according to طبعا
+
+212
+00:13:59,510 --> 00:14:01,110
+القوة الكهربائية بس أذكرها 
+
+213
+00:14:04,400 --> 00:14:08,840
+مترين هذا؟ حاجات مجيجي عندي شغل جديدة بدي q و بدي
+
+214
+00:14:08,840 --> 00:14:12,640
+مجال مغناطيس وبدي سرعة لإن لو ماتحركتش فيه قوة إذا 
+
+215
+00:14:12,640 --> 00:14:16,860
+بدأت تدخل عندي السرعة مشكلة ليش؟ السرعة vector و
+
+216
+00:14:16,860 --> 00:14:19,280
+الـ B vector إذا لأ بدي أحط dot ولا بدي أحط cross
+
+217
+00:14:19,280 --> 00:14:24,960
+صح؟ بفرح أحط dot وهدي vector إذا بدي أحط cross صح
+
+218
+00:14:24,960 --> 00:14:28,360
+ولا لأ؟ ليش؟ لإنه native vector والـ dot بديني
+
+219
+00:14:28,360 --> 00:14:32,700
+scalar إذا لازم أحط cross F بيساوي q و v cross ال
+
+220
+00:14:32,700 --> 00:14:37,790
+B إذا بيشبه هذا بس انضفوا السرعة لإنه بيقول أنا 
+
+221
+00:14:37,790 --> 00:14:41,670
+moving its charge إذا لازم السرعة تكون موجودة من 
+
+222
+00:14:41,670 --> 00:14:46,450
+هذه العلاقة لو ذي سفر في قوة إذا القوة فقط إذا
+
+223
+00:14:46,450 --> 00:14:49,850
+كانت الشحنات متحركة زي المجال المغناطيسي بتولدش
+
+224
+00:14:49,850 --> 00:14:53,250
+اللي إذا كانت الشحنات متحركة أو طيارة طبعا ال cross
+
+225
+00:14:53,250 --> 00:14:56,150
+product ماحنا عارفين صينية الزاوية هذه معروفة 
+
+226
+00:14:59,460 --> 00:15:03,740
+F و B أما مع بعض أو عكس بعض تبع لإنه positive
+
+227
+00:15:03,740 --> 00:15:09,300
+or negative طب هنا F و B متعامدات مع بعض
+
+228
+00:15:12,020 --> 00:15:14,940
+بيقولين where v is the radius of the charge q and
+
+229
+00:15:14,940 --> 00:15:19,640
+θ is the angle between v and b not that f is zero
+
+230
+00:15:19,640 --> 00:15:24,680
+if v and b are parallel هي بيقول كده بتكون الشحنة
+
+231
+00:15:24,680 --> 00:15:28,420
+متحركة والمجال المغناطيسي موجود وبرضه مافيش قوة
+
+232
+00:15:28,420 --> 00:15:31,900
+إذا صين الزاوية صفر إذا كانت المجال 
+
+233
+00:15:31,900 --> 00:15:37,620
+المغناطيسي والسرعة بيكونوا بيكونوا فش قوة تمام ال
+
+234
+00:15:37,620 --> 00:15:40,900
+maximum if V and B are perpendicular لما يكون
+
+235
+00:15:40,900 --> 00:15:44,340
+الزاوية 90 وصين 90 أكبر قيمة ولا لأ؟ طيب هذه
+
+236
+00:15:44,340 --> 00:15:49,800
+معلومة سهلة من صينية الزاوية أخدتها تمام أي
+
+237
+00:15:49,800 --> 00:15:52,300
+الكمية الفيزيائية الوحيدة اللي جدها عنده هي
+
+238
+00:15:52,300 --> 00:15:57,350
+capital B وحدتها نيوتن، صح ولا لأ؟ V متر بير ثانية،
+
+239
+00:15:57,350 --> 00:16:01,010
+الـQ كله، كلها ضعفة. الكمية الفيزيائية اللي متعاملة
+
+240
+00:16:01,010 --> 00:16:04,610
+معها الآن هي capital B, the magnetic field. بيقول،
+
+241
+00:16:04,610 --> 00:16:11,090
+the SI unit of B is، نريد تطلع نيوتن، وهنا على كله
+
+242
+00:16:11,090 --> 00:16:15,870
+وعلى متر بير ثانية، فنصير نيوتن ثانية على كل متر. 
+
+243
+00:16:16,070 --> 00:16:19,170
+طبعا هذه في الأخر وحدة كبيرة كتير، سموها تسلا.
+
+244
+00:16:20,170 --> 00:16:24,290
+خدتوها التسلا التسلا هي الأساسية unit الـ cgs unit أو
+
+245
+00:16:24,290 --> 00:16:28,790
+الجوسيان unit هي الجوس شوف كلمة جوس الـ cgs system
+
+246
+00:16:28,790 --> 00:16:35,870
+ذاكرينه؟ إيش إنه تسمية ثانية؟ جوسيان system هي جوس
+
+247
+00:16:35,870 --> 00:16:40,050
+وحدته في المجال المغناطيسي جوس لأن هو اشتغل وهو في
+
+248
+00:16:40,050 --> 00:16:42,730
+المغناطيسية بيقولك ال Gaussian System أحسن ليه؟
+
+249
+00:16:42,730 --> 00:16:45,570
+لأنه كتير من الثوابت بتساوي واحد عندهم وبالتالي في 
+
+250
+00:16:45,570 --> 00:16:48,510
+كتير من الكتب المتقدمة بيستخدموا ال Gaussian
+
+251
+00:16:48,510 --> 00:16:52,570
+System ليش؟ لإنه كتير من الثوابت اللي عندهم بتصير
+
+252
+00:16:52,570 --> 00:16:56,570
+واحد أثر لهم مجرد تسهيل يعني عشان كده صمية 
+
+253
+00:16:56,570 --> 00:16:59,710
+Gaussian System لأن هو استخدم هذا ال system كتير و
+
+254
+00:16:59,710 --> 00:17:02,650
+كان يشتغل أكتر حاجة في المغناطيسية فكان بنسوا أكتر
+
+255
+00:17:02,650 --> 00:17:04,770
+هذا ال system عشان كده بيسموه ال Gaussian System
+
+256
+00:17:04,770 --> 00:17:10,200
+بس مجرد عشان نقول من وين جت التسمية يعني which is
+
+257
+00:17:10,200 --> 00:17:14,740
+called Tesla رمزه capital T the cgs unit or the
+
+258
+00:17:14,740 --> 00:17:18,760
+gauss يعني unit of B is the gauss تمام capital G
+
+259
+00:17:18,760 --> 00:17:21,980
+which is related to the tesla through واحد تسلا
+
+260
+00:17:21,980 --> 00:17:24,740
+بالتساوي عشرة أس أربعة gauss طبعا التسلا و الـ G
+
+261
+00:17:24,740 --> 00:17:29,960
+بتحول الـm لـ cm و الـV لـ cm per
+
+262
+00:17:29,960 --> 00:17:34,160
+second و الـforce لـ dyne فأنا كده بقدر أطلع هذه
+
+263
+00:17:34,160 --> 00:17:37,300
+العلاقة مش مهم إحنا بنحفظها وحفظها موجودة في كل
+
+264
+00:17:37,300 --> 00:17:41,260
+الكتب إحنا إيش بيقولي in contrary to the 
+
+265
+00:17:41,260 --> 00:17:44,240
+electrostatic force اللي هي هذه which is parallel
+
+266
+00:17:44,240 --> 00:17:47,780
+to E بتكون دائما parallel to E أما مع العكس يعني
+
+267
+00:17:47,780 --> 00:17:51,300
+لا برايل لا أنت برايل the direction of F is always
+
+268
+00:17:51,300 --> 00:17:54,280
+normal to both V and capital B لأن ال cross
+
+269
+00:17:54,280 --> 00:17:57,240
+product ال cross product بتطلع لي متعامد على 
+
+270
+00:17:57,240 --> 00:18:00,300
+الاثنين it is given by the right hand rule وهذه
+
+271
+00:18:00,300 --> 00:18:04,320
+المشكلة عاد بدأت إن واحدة C وواحدة S ويوم تطلع 
+
+272
+00:18:04,320 --> 00:18:09,680
+الثالثة؟ في العين الـZ والـ Z تجي مشكلة نبدأ نعمل 
+
+273
+00:18:09,680 --> 00:18:16,140
+هيك نبدأ نعمل هيك ليش هيك؟ سين صاد عين و ليش
+
+274
+00:18:16,140 --> 00:18:22,340
+هيك؟ سين صاد عين تمام؟ إذا المشكلة تجي لإن الـ
+
+275
+00:18:22,340 --> 00:18:27,300
+direction الثالث لما أنا جاي لأن F بيساوي Q و V
+
+276
+00:18:27,300 --> 00:18:30,960
+cross الـB V cross الـB بيجي متعامد واحد سين واحد 
+
+277
+00:18:30,960 --> 00:18:34,980
+صاد والثالث تجي عين على طول XYZ مافيش مجال إيه اللي
+
+278
+00:18:34,980 --> 00:18:38,040
+يجي الثالث كيه بيفضّقها ده اللي أشر عليه بإيدك هكذا 
+
+279
+00:18:38,040 --> 00:18:41,440
+طبعا ليش بيصير الصعوبة شباب لإن أنا برص مع ورقة أو
+
+280
+00:18:41,440 --> 00:18:44,220
+برص مع لوح والورقة واللوح وال dimensions طب
+
+281
+00:18:44,220 --> 00:18:46,740
+بيصير صعوبة إن أنا أوضح ال dimension الثالث عشان
+
+282
+00:18:46,740 --> 00:18:50,300
+كده تيجي عملية الإيدين عشان نمثلها بيقول it is
+
+283
+00:18:50,300 --> 00:18:52,700
+given by the right hand rule و ال right hand rule
+
+284
+00:18:52,700 --> 00:18:59,430
+ده هي إيه يسوي بيقول حط أصابعك الأربعة مع الـV أو
+
+285
+00:18:59,430 --> 00:19:05,250
+مع الـI ودورها باتجاه الـB زي إحنا لما نقول C 
+
+286
+00:19:05,250 --> 00:19:08,490
+بتساوي A cross الـB إيه بشتغل؟ لما نقول خطة سبع
+
+287
+00:19:08,490 --> 00:19:12,730
+كلاك معناها إيه؟ دور باتجاه B بتطلع C صح ولا لأ؟
+
+288
+00:19:12,730 --> 00:19:17,810
+وهادي نفس القضية F بتساوي Q و V cross الـB خطة
+
+289
+00:19:17,810 --> 00:19:20,490
+سبع كلاك معناها إيه؟ دور باتجاه الـB بتطلع تجاه
+
+290
+00:19:20,490 --> 00:19:24,130
+القوة F تمام فهي إيش بتقولك؟ 
+
+291
+00:19:27,120 --> 00:19:29,800
+دع أربع أصابع اليد تقوم بإيقاف أربع أصابع اليد
+
+292
+00:19:29,800 --> 00:19:32,880
+تقوم
+
+293
+00:19:32,880 --> 00:19:33,420
+بإيقاف أربع أصابع اليد تقوم بإيقاف أربع
+
+294
+00:19:33,420 --> 00:19:34,640
+أصابع اليد تقوم بإيقاف أربع أصابع اليد تقوم
+
+295
+00:19:34,640 --> 00:19:35,460
+بإيقاف أربع أصابع اليد تقوم بإيقاف أربع 
+
+296
+00:19:35,460 --> 00:19:36,300
+أصابع اليد تقوم بإيقاف أربع أصابع اليد تقوم
+
+297
+00:19:36,300 --> 00:19:37,420
+بإيقاف أربع أصابع اليد تقوم بإيقاف أربع
+
+298
+00:19:37,420 --> 00:19:39,760
+أصابع اليد تقوم بإيقاف أربع
+
+299
+00:19:39,760 --> 00:19:44,410
+أصابع اليد تقوم بإيقاف أربع هذا يعطي اتجاه
+
+300
+00:19:44,410 --> 00:19:47,790
+القوة المغناطيسية بيقول هذا صحيح إذا Q negative
+
+301
+00:19:47,790 --> 00:19:51,350
+اعكس وإذا Q negative اعكس اتجاه اللي بيطلع على
+
+302
+00:19:51,350 --> 00:19:54,670
+F بيتحط تحت تمام؟ لأن Q negative بيكون عندك
+
+303
+00:19:54,670 --> 00:19:57,690
+شرط سالب وعندها هنتعامل معها بصير سهل العملية دي
+
+304
+00:19:57,690 --> 00:20:01,350
+إن شاء الله مش هنلحّقهم كتير يعني هنعرف التعامل مع
+
+305
+00:20:01,350 --> 00:20:08,430
+حمص ولا أسهل هيمر علينا هذا الشكل شباب هذا كيف؟
+
+306
+00:20:08,430 --> 00:20:15,090
+طبعا بيقولك شو هذا؟ بيقولك a dot is adopted for a
+
+307
+00:20:15,090 --> 00:20:18,630
+direction out of the page، طالع من الـpage، ليش؟ 
+
+308
+00:20:18,630 --> 00:20:21,770
+which represents the tip of a row coming towards
+
+309
+00:20:21,770 --> 00:20:27,490
+you، هذا رأس البغي، رأس البغي، طالع عليك 
+
+310
+00:20:30,190 --> 00:20:45,590
+القاعدة البروغية بيكون
+
+311
+00:20:45,590 --> 00:20:49,710
+من رأسها جوا، راح في الواجهة ومخلصش، بيبين بس
+
+312
+00:20:49,710 --> 00:20:54,940
+القاعدة تبعتة، الـcross اللي بتحط فيها من الفك of a
+
+313
+00:20:54,940 --> 00:20:58,940
+row fired away from you بيكون رايح عليه إذا هذا 
+
+314
+00:20:58,940 --> 00:21:01,780
+out of page وهذا into the page هذا ال page
+
+315
+00:21:01,780 --> 00:21:04,780
+الثالث اللي هيكون نتعامل معاه لإنه في الآخر لازم
+
+316
+00:21:04,780 --> 00:21:07,580
+نتعامل مع الثالث لا محالة وبالتالي هنستخدمه في
+
+317
+00:21:07,580 --> 00:21:13,880
+الموضوع الرموز كتير شباب consider
+
+318
+00:21:13,880 --> 00:21:16,600
+two opposite child particles moving to the right
+
+319
+00:21:16,600 --> 00:21:20,940
+and entering a magnetic field into the page هاي
+
+320
+00:21:20,940 --> 00:21:26,300
+magnetic field كيف تجيهه شباب؟ للداخل حلو قالوا 
+
+321
+00:21:26,300 --> 00:21:29,000
+أنا في عندي شحنة هنا وشحنة هنا بدي أخليهم يمشوا
+
+322
+00:21:29,000 --> 00:21:32,060
+أول ما يخشوا المجال المغناطيسي إيش بيحصل فيهم؟
+
+323
+00:21:32,060 --> 00:21:37,060
+بيحصل عليهم قوة تمام؟ تتوقع الاثنين ينحرفوا في نفس
+
+324
+00:21:37,060 --> 00:21:43,120
+الاتجاه؟ ولا عكس بعض؟ نجي نجرب الـpositive للـ
+
+325
+00:21:43,120 --> 00:21:48,420
+positive Q V cross الـB بدي أمشي هيك حطيت I هيك بدي 
+
+326
+00:21:48,420 --> 00:21:52,580
+نمشي طبعا شباب across الـinto the page شباب 
+
+327
+00:21:52,580 --> 00:21:59,320
+باعتبروا نقص k ليش أنا مش هيك بعد برسمهم أنا مش
+
+328
+00:21:59,320 --> 00:22:03,080
+هيك الـz هذا الـz أصلا كيف عليكم إذا إن الـ
+
+329
+00:22:03,080 --> 00:22:06,340
+positive z out of the page والـinto the page بدي
+
+330
+00:22:06,340 --> 00:22:10,480
+أحاول إن أناقص k من يوم ما طالع لأن أنا هاي الـz
+
+331
+00:22:10,480 --> 00:22:16,060
+axis إذا إيه الـz axis هو out of the page الـin to
+
+332
+00:22:16,060 --> 00:22:20,280
+the page minus k تمام هجيت هذا minus k ورا ده طب
+
+333
+00:22:20,280 --> 00:22:26,120
+كيف بتعرف i cross الـk أخدلهم قولنا i j k بتخدلها
+
+334
+00:22:26,120 --> 00:22:30,360
+في ذنب i cross الـj بديك k j cross الـk بديك i k
+
+335
+00:22:30,360 --> 00:22:33,860
+cross الـi بديك j هجيت i cross الـk إيش بديك سالب
+
+336
+00:22:38,010 --> 00:22:42,150
+السالب أكيد والسالب اه طبعا في سالب بتطلع j إذا
+
+337
+00:22:42,150 --> 00:22:48,390
+أين بتروح هذه الأولى لفوق لفوق القوة الأعلى طبعا
+
+338
+00:22:48,390 --> 00:22:53,090
+إذا هذه لو تجي والثانية نجي الثانية مش عادي كان 
+
+339
+00:22:53,090 --> 00:22:56,990
+لوحدك مش خضيع أنا بديك تعلم الثانية إيه حطيت هنا
+
+340
+00:22:56,990 --> 00:23:02,390
+هذه سالب ده شباب فايه السالب هذا وإيه هذي طلع
+
+341
+00:23:02,390 --> 00:23:06,300
+السالب j إذا معناته دول لم يمشوا the positive
+
+342
+00:23:06,300 --> 00:23:08,580
+charge will deflect upward while the negative
+
+343
+00:23:08,580 --> 00:23:11,540
+charge will deflect downward هاي نمشي نهو .. هذا 
+
+344
+00:23:11,540 --> 00:23:16,900
+راح فوق .. وهذا بطلع بحاجة .. أول ما يخش المجال
+
+345
+00:23:16,900 --> 00:23:20,940
+بيصنع deflection .. تمام؟ .. إذا معناته أنا بقدر
+
+346
+00:23:20,940 --> 00:23:23,560
+أعرف الـvariation من هذا .. رح أطيب فيها أسئلة 
+
+347
+00:23:23,560 --> 00:23:26,760
+بقولك إنه كيف deflected .. بتعرف إنها بتروح يمين، 
+
+348
+00:23:26,760 --> 00:23:29,380
+بتروح شمال، بتبقى زي ما هي .. unaffected ..
+
+349
+00:23:29,380 --> 00:23:33,680
+فبنعرفها .. يورتيو كل أعظم .. يورتيو كل أعظم ..
+
+350
+00:23:33,680 --> 00:23:34,920
+نكمل إن شاء الله مرة جاية .. 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c4875809973d2ac0ae637735551f927bab9362aa
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ.srt
@@ -0,0 +1,2661 @@
+1
+00:00:09,740 --> 00:00:16,760
+الشبتر الثاني في المغناطيسية بعنوان sources of
+
+2
+00:00:16,760 --> 00:00:20,760
+magnetic field مصادر المجال المغناطيسي
+
+3
+00:00:30,240 --> 00:00:34,140
+هذا الأصل في الـ chapter اللي جابله الشباب كان لما 
+
+4
+00:00:34,140 --> 00:00:38,620
+أديك بيه اتكيها نعطي ولا مرة اللي أحس بشدة المجال
+
+5
+00:00:38,620 --> 00:00:42,410
+في هذا الـ chapter شغلتنا نحس بشدة المجال إذا
+
+6
+00:00:42,410 --> 00:00:45,110
+sources of magnetic field بمعنى آخر بدي أحسب
+
+7
+00:00:45,110 --> 00:00:48,910
+المجال المغناطيسي من مصادر رئيسية ما هي؟ التيار هذه
+
+8
+00:00:48,910 --> 00:00:54,350
+الـ problems اللي احنا مطلوب إن نحلها ونبدأ ببيوت و
+
+9
+00:00:54,350 --> 00:00:59,010
+صفارت law قانون بيوت وصفارت بيوت وصفارت اسمين
+
+10
+00:00:59,010 --> 00:01:06,290
+اسم عالمين خلينا نبدأ بالمجال الكهربائي ونذكر مع
+
+11
+00:01:06,290 --> 00:01:09,270
+بعض المجال الكهربائي قانون عرفناه المجال الكهربائي
+
+12
+00:01:09,270 --> 00:01:16,950
+شباب لما أخذنا اشتقنا قانون إيه؟ بتساوي K Q على R
+
+13
+00:01:16,950 --> 00:01:22,110
+تربية صحيح أو لا؟ هذا قانون إيه؟ إيش كنا نسميه؟ كلهم
+
+14
+00:01:22,110 --> 00:01:25,830
+هو نفسه كلهم في كلمة قانون حسبنا شدة المجال
+
+15
+00:01:25,830 --> 00:01:31,210
+الكهربائي منه Gauss إذا كان فيه أنا قانونين عشان
+
+16
+00:01:31,210 --> 00:01:35,450
+نحسب شدة المجال الكهربائي هذا قانون كله واستخدمناه
+
+17
+00:01:35,450 --> 00:01:38,390
+حتى لما كان عندي continuous charge distribution
+
+18
+00:01:38,390 --> 00:01:43,530
+جسّلنا عناصر واتعاملنا معه المجال المغناطيسي أيضًا
+
+19
+00:01:43,530 --> 00:01:47,970
+هناك فيه قانونين لحساب شدة المجال المغناطيسي قانون
+
+20
+00:01:47,970 --> 00:01:52,750
+ينظر قانون كولوم اسمه بيوتسافارت وفي قانون ينظر
+
+21
+00:01:52,750 --> 00:01:57,920
+قانون Gauss اسمه Ampere's Law قانون أمبير أولًا نبدأ 
+
+22
+00:01:57,920 --> 00:02:02,440
+بالقانون اللي بنظر قانون كولوم لما نجرى نطلع قانون
+
+23
+00:02:02,440 --> 00:02:06,040
+كولوم لما اشتقوا كولوم إيش جاء؟ جاء شدة المجال بتتناسب
+
+24
+00:02:06,040 --> 00:02:09,420
+تناسبًا طرديًا مع مقدار الشحنة ولا لأ؟ كلما زادت
+
+25
+00:02:09,420 --> 00:02:13,140
+الشحنة كلما زاد المجال وعكسيًا مع مربع المسافة اللي
+
+26
+00:02:13,140 --> 00:02:20,090
+بينهم طيب ليش مع Q؟ لأن مصدر المجال الكهربائي Q زادت
+
+27
+00:02:20,090 --> 00:02:25,930
+Q زاد المجال، الآن مصدر المجال المغناطيسي Q متحركة والـ
+
+28
+00:02:25,930 --> 00:02:30,010
+Sub يبقى كدا بـ I، إذا أنا متوقع كل ما يزيد I،
+
+29
+00:02:30,010 --> 00:02:34,790
+إيش يصير في المجال؟ يزيد، هذا الـ Silic، فيه تيار،
+
+30
+00:02:34,790 --> 00:02:39,550
+ما زال فيه تيار، هنا فيه مجال لما يكون التيار عشر
+
+31
+00:02:39,550 --> 00:02:42,810
+أمبير غير لما يكون خمس أمبير لما يكون عشر أمبير
+
+32
+00:02:42,810 --> 00:02:47,390
+أقوى طيب أبعد عن السلك بضمن المجال زي ما هو إذا
+
+33
+00:02:47,390 --> 00:02:51,170
+المفروض يقل ولا لأ؟ إذا كل ما زادت المسافة بين
+
+34
+00:02:51,170 --> 00:02:55,940
+السلك والنقطة بدي يكون في نقصان في المجال إذا في
+
+35
+00:02:55,940 --> 00:03:00,500
+تناسب عكسي زي هذا في تناسب عكسي بين المسافة
+
+36
+00:03:00,500 --> 00:03:05,040
+والمجال بيجينا عاد عمر جديد بيقول هذا سلك لو جيب
+
+37
+00:03:05,040 --> 00:03:09,160
+السلك أطول زي بعد بقوله لأ السلك الأطول مجاله أكثر
+
+38
+00:03:09,160 --> 00:03:13,880
+إذا معناته بدي أدخل إيش كمان؟ طول السلك فراح هدول
+
+39
+00:03:13,880 --> 00:03:18,180
+إلى عالمين عملوا عدة تجارب وطلعوا نتائج التالية
+
+40
+00:03:18,180 --> 00:03:18,960
+بيقول
+
+41
+00:03:21,270 --> 00:03:26,970
+كما ذكرت من قبل في الشطر الماضي مصدر مصدر مصدر
+
+42
+00:03:26,970 --> 00:03:31,350
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+43
+00:03:31,350 --> 00:03:32,850
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+44
+00:03:32,850 --> 00:03:33,410
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+45
+00:03:33,410 --> 00:03:33,430
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+46
+00:03:33,430 --> 00:03:45,370
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+47
+00:03:45,370 --> 00:03:46,950
+م
+
+48
+00:03:52,380 --> 00:03:57,220
+إيه يعني؟ كل ما أزيد I المجال زاد كل ما أبعد و
+
+49
+00:03:57,220 --> 00:04:02,020
+أقرب بتغير المجال طيب هذه أبعد وأقرب مسافة كيف
+
+50
+00:04:02,020 --> 00:04:04,900
+أتعامل مع المسافة؟ هل بتقدروا تجيبولي المسافة بين
+
+51
+00:04:04,900 --> 00:04:09,080
+النقطة والسلك؟ بين النقطة والسلك؟ هل أرسمها أنا
+
+52
+00:04:09,080 --> 00:04:13,180
+هذه مسافة بين النقطة والسلك؟ أنا بينقل أقعد بين
+
+53
+00:04:13,180 --> 00:04:16,080
+النقطة النقطة على السلك إذا ما نفعش آخذ بين النقطة
+
+54
+00:04:16,080 --> 00:04:19,540
+والسلك لإنه عدت مسافات فيه إذا ما نفعش إلا تاخد
+
+55
+00:04:19,540 --> 00:04:26,100
+عنصر عنصر تمام؟ لازم تاخد عنصر عنصر لإن هيسلك هيسلك
+
+56
+00:04:26,100 --> 00:04:28,680
+فيه تيار طب بدي أنا أشتدي في المجال عنده نقطة هادي
+
+57
+00:04:28,680 --> 00:04:33,020
+كيف آخد المسافة؟ آخد المسافة هادي ولا هادي ولا هادي
+
+58
+00:04:33,020 --> 00:04:37,540
+ولا هادي ولا هادي إذا كده كتحل المشكلة يقول ياخد
+
+59
+00:04:37,540 --> 00:04:44,520
+عنصر عنصر فصار بس لجزء صغير دي الـ dL تعطى من أولاقة
+
+60
+00:04:44,520 --> 00:04:49,860
+التالية هذا شباب key
+
+61
+00:04:51,900 --> 00:04:56,320
+تبعت المجنتك ثابت التناسب بتساوي تناسبًا طرديًا مع
+
+62
+00:04:56,320 --> 00:05:01,520
+التيار تناسبًا طرديًا مع طول السلك وعكسيًا مع مربع
+
+63
+00:05:01,520 --> 00:05:06,220
+المسافة هنا يمكن نحط R unit vector عشان إيه؟ كيف
+
+64
+00:05:06,220 --> 00:05:10,320
+اتجاهه؟ لا طالع من الشحنة لأ رايح علينا وبالتالي
+
+65
+00:05:10,320 --> 00:05:14,020
+بيكون دائمًا مع R ولا لأ؟ فحطينا هنا R unit vector
+
+66
+00:05:14,020 --> 00:05:17,920
+هنا بيه شباب اللي هو عايز مع التيار واللي هو
+
+67
+00:05:17,920 --> 00:05:21,680
+الوضع هو بـ R عمودي على الاثنين فحطه cross product
+
+68
+00:05:21,680 --> 00:05:27,500
+بين L وR cross product الـ vector الاتجاهي بتجاهي
+
+69
+00:05:27,500 --> 00:05:32,140
+التيار اه هي مول انصر مول مختار أخدها وبتطلع
+
+70
+00:05:32,140 --> 00:05:36,760
+معايا طب هادي هادي إيش بالساوي شباب
+
+71
+00:05:41,990 --> 00:05:46,730
+ذاكرينها؟ مظبوط ولا لأ؟ هناك إيش بيساوي؟ أربع باي
+
+72
+00:05:46,730 --> 00:05:51,430
+وأربع باي بقى من اي نوت إيش حطوا؟ ميو نوت طب اي
+
+73
+00:05:51,430 --> 00:05:52,470
+نوت إيش تعريفها؟
+
+74
+00:05:54,950 --> 00:05:59,330
+the permittivity of a free space هذي وبيسموها الـ
+
+75
+00:05:59,330 --> 00:06:02,210
+electric permittivity هذي بيسموها الـ magnetic
+
+76
+00:06:02,210 --> 00:06:06,950
+permittivity أو الـ permeability نفس المصطلح اللي
+
+77
+00:06:06,950 --> 00:06:11,150
+هو النفاذية أو السماحية بالعربي هذي بيسميها ثابت
+
+78
+00:06:11,150 --> 00:06:15,210
+النفاذية الكهربائية هذي بالعربي ثابت النفاذية
+
+79
+00:06:15,210 --> 00:06:19,990
+المغناطيسية مش أكثر أولًا نبدأ where R is the distance
+
+80
+00:06:19,990 --> 00:06:22,970
+between the element dL and the point B وضعها في
+
+81
+00:06:22,970 --> 00:06:25,650
+الرسمة and the unit vector directly from the
+
+82
+00:06:25,650 --> 00:06:29,590
+element to the point برضوها the direction of dL is
+
+83
+00:06:29,590 --> 00:06:31,950
+the direction of the current معلومة بحوار بعرفها
+
+84
+00:06:33,470 --> 00:06:37,050
+بقول الـ constant ميو نوت مسمى برميابيليتي
+
+85
+00:06:37,050 --> 00:06:40,210
+constant طبعًا permittivity و permeability في
+
+86
+00:06:40,210 --> 00:06:46,530
+الخموس نفس المعنى سماح أو نفاذ سماحية أو نفاذية بس
+
+87
+00:06:46,530 --> 00:06:49,130
+حاولوا يغيروا عشان ما يوصلش فيه خربطة هي ثابت
+
+88
+00:06:49,130 --> 00:06:51,950
+النفاذية المغناطيسية هي اللي بيميزها وهي ثابت
+
+89
+00:06:51,950 --> 00:06:55,650
+النفاذية الكهربائية طبعًا زي ما عملنا هنا ميو نوت
+
+90
+00:06:55,650 --> 00:06:59,800
+تعني فراغ زي إبسلونوت تعني فراغ لو الوسط بطل فراغ
+
+91
+00:06:59,800 --> 00:07:03,580
+بتحط ميو زي إبسلون وبتضربها في ثابت زي كعبة إذا
+
+92
+00:07:03,580 --> 00:07:06,620
+كنتوا ذاكرينها في كعبة برضه للمغناطيسية ما أنا
+
+93
+00:07:06,620 --> 00:07:09,640
+أجهزها فيها الجد وميو نوت إلى قيمة زي ما إبسلون
+
+94
+00:07:09,640 --> 00:07:11,560
+نوت إلى قيمة ثمانية وخمسة وثمانية في المية في
+
+95
+00:07:11,560 --> 00:07:14,120
+عشر وعشر سالب وأتمشي هذا إلى قيمة أربع باي في
+
+96
+00:07:14,120 --> 00:07:19,360
+عشر وعشر سالب تسعة تسلا متر مربع على أمبير
+
+97
+00:07:19,360 --> 00:07:24,020
+هذا قانون باستخدام انصدار تمام هذه أعطاك الـ B بـ
+
+98
+00:07:24,020 --> 00:07:29,780
+بسلعونصر كذا كده ب كلها ده كده كاملة طبعًا بيجي تكامل
+
+99
+00:07:29,780 --> 00:07:34,080
+أنت بتجي مع بيز الـ B vector ولا الـ scalar الـ B
+
+100
+00:07:34,080 --> 00:07:39,780
+الـ B vector الـ B vector لما تكامل بتنطبح الـ
+
+101
+00:07:39,780 --> 00:07:44,400
+directions بيقول الـ total magnetic field due to
+
+102
+00:07:44,400 --> 00:07:49,200
+the entire wire is هذا هو بصيه بتطلع ثلاثة كبرا وهو
+
+103
+00:07:49,200 --> 00:07:52,580
+القانون اللي بتستخدمه بي بيساوي ميو نوت I على أربعة
+
+104
+00:07:52,580 --> 00:07:57,420
+بي تكامل دي L cross الـ R unit vector على R تربيع
+
+105
+00:07:58,240 --> 00:08:00,140
+الشباب قاعدين unit vector هذه اللي فوق جدّيش
+
+106
+00:08:00,140 --> 00:08:06,970
+magnitude تبعها لأنها unit vector تمام بقول it is
+
+107
+00:08:06,970 --> 00:08:10,310
+important to note that the integrant in the last
+
+108
+00:08:10,310 --> 00:08:14,150
+equation is a vector quantity and so it must be
+
+109
+00:08:14,150 --> 00:08:19,310
+handed accordingly وحنا نعرف تكامل الـ vector بده
+
+110
+00:08:19,310 --> 00:08:22,030
+عناية لأنه مرات تكامل الـ vector بطلع صفر يعني زي
+
+111
+00:08:22,030 --> 00:08:25,570
+ما عرفنا تكامل الـ dL بطلعش L مرات بطلع L شرط و
+
+112
+00:08:25,570 --> 00:08:29,550
+مرات بطلع صفر لأنه التحليل بضيع الشغلات
+
+113
+00:08:33,490 --> 00:08:38,030
+من الـ dL اللي فوق ممكن بـ النقطة معينة يكون صفر
+
+114
+00:08:38,030 --> 00:08:42,510
+ولا لا؟ وقتش بـ بيكون صفر في الـ dL اللي فوق من
+
+115
+00:08:42,510 --> 00:08:48,090
+زاوية ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+116
+00:08:48,090 --> 00:08:48,130
+ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+117
+00:08:48,130 --> 00:08:48,210
+ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+118
+00:08:48,210 --> 00:08:48,590
+ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+119
+00:08:48,590 --> 00:08:53,130
+ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن لما
+
+120
+00:08:53,130 --> 00:08:59,690
+الزاوية تكون 0 أو 180 حلو إذا لما تكون L وR مع
+
+121
+00:08:59,690 --> 00:09:03,390
+بعض أو ضد بعض ما فيش مجال بقول يا ده واكتشاف بيحصل
+
+122
+00:09:03,390 --> 00:09:06,710
+إذا كانت النقطة على محور السلك النقطة على المحور
+
+123
+00:09:06,710 --> 00:09:09,150
+مش بتروح على السلك يعني أنا أنا عندي السلك هذا
+
+124
+00:09:09,150 --> 00:09:15,510
+يبقوني هاي النقطة هذي بيه بقول اه وينها هاي R وين
+
+125
+00:09:15,510 --> 00:09:20,550
+L؟ هايها هاي L كده إيش الزاوية بينهم؟ 180 عند النقطة
+
+126
+00:09:20,550 --> 00:09:25,150
+هذه وين R؟ بقولهم هاي R طب وين L؟ هايها إذا إيش؟
+
+127
+00:09:25,150 --> 00:09:30,130
+صفر إذا لما تكون النقطة على نفس المحور بتكون B
+
+128
+00:09:30,130 --> 00:09:34,290
+صفر ليش؟ لأنه بتكون الزاوية صفر أو مية وثمانين
+
+129
+00:09:34,290 --> 00:09:38,910
+since theta equal to zero the magnetic field at a
+
+130
+00:09:38,910 --> 00:09:42,290
+point along the axis of the wire is always zero
+
+131
+00:09:43,120 --> 00:09:47,300
+ما زال نقطع المحور لما تشتغل وتشمل وتبدأ تشتغل
+
+132
+00:09:47,300 --> 00:09:51,400
+هتلاقي إزاي ويعطي تجزير وقطع طيب نرجع لقعد و
+
+133
+00:09:51,400 --> 00:09:56,000
+قرر كيف كنا نجيب اتجاه B يا شباب اتجاه B كيف
+
+134
+00:09:56,000 --> 00:09:56,980
+نجيب اتجاه B كيف نجيب اتجاه اتجاه اتجاه اتجاه
+
+135
+00:09:56,980 --> 00:10:01,940
+اتجاه اتجاه اتجاه
+
+136
+00:10:01,940 --> 00:10:05,460
+اتجاه
+
+137
+00:10:05,460 --> 00:10:08,140
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+138
+00:10:08,140 --> 00:10:08,460
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+139
+00:10:08,460 --> 00:10:09,720
+اتجاه اتجاه اتجاه اتجاه اتجاه
+
+140
+00:10:11,920 --> 00:10:14,580
+cross product يعني أنا خلّيني أجيب كمان مرة هاي
+
+141
+00:10:14,580 --> 00:10:24,700
+السلك هاي R هاي L وهاي نقطة وهاي R نختار أنا
+
+142
+00:10:24,700 --> 00:10:28,480
+بدي الآن P حسب القانون بيكون عمودية أهدى وأهدى
+
+143
+00:10:28,480 --> 00:10:32,940
+مظبوط ولا لأ؟ دي L cross الـ R يعني لازم يكون الـ
+
+144
+00:10:32,940 --> 00:10:36,980
+direction عمودية على الـ L وعمودية على الـ R الـ L
+
+145
+00:10:36,980 --> 00:10:42,670
+كيف اتجاهها الـ I والـ R إيش العمودي على الـ I والـ
+
+146
+00:10:42,670 --> 00:10:46,090
+R؟ الـ K إذا الـ B هنا غصب عنو بيديجي الـ
+
+147
+00:10:46,090 --> 00:10:48,870
+direction الثالث لأن الـ cross product احنا متفقين
+
+148
+00:10:48,870 --> 00:10:53,610
+دائمًا بيعطي الـ direction الثالث بيقول لي كيه بدي
+
+149
+00:10:53,610 --> 00:10:58,310
+أجيب هالـ direction؟ بيقول لي الـ direction of B is
+
+150
+00:10:58,310 --> 00:11:02,690
+always perpendicular to both L and R هذه الشغلة
+
+151
+00:11:02,690 --> 00:11:05,310
+أخدتها من إيش؟ من صفات الـ cross product
+
+152
+00:11:09,980 --> 00:11:15,160
+معناه بـ كافة E على C عمودي على E على B هرجيت dL
+
+153
+00:11:15,160 --> 00:11:19,400
+cross الـ R إذا اتجاه المجال المغناطيسي هذا بيكون
+
+154
+00:11:19,400 --> 00:11:23,820
+عمودي على الـ L وعلى الـ R طب كيف بيعملها؟ that is
+
+155
+00:11:23,820 --> 00:11:27,120
+the field lines of the magnetic field produced by
+
+156
+00:11:27,120 --> 00:11:32,880
+a current element are concentric circles بيعمل
+
+157
+00:11:32,880 --> 00:11:36,560
+circles around the element يعني كيف؟ بيقول ده
+
+158
+00:11:36,560 --> 00:11:41,940
+Silicon هذه تياره عند النقطة هذه بقول هذه R وهذه L
+
+159
+00:11:41,940 --> 00:11:46,280
+إذا موقعته عمودي بيكون هيك نفترض طب لو كانت النقطة
+
+160
+00:11:46,280 --> 00:11:53,880
+هنا فهي R وهي L مظبوطة أو لا؟ بيكون هيك طبعًا إذا مرة
+
+161
+00:11:53,880 --> 00:11:56,660
+بيكون هيك ومرة بيكون هيك ومرة بيكون هيك ومرة بيكون
+
+162
+00:11:56,660 --> 00:12:01,000
+هيك طب في هنا بقول بيكون هيك إذا موقعته عمل دائرة
+
+163
+00:12:01,000 --> 00:12:06,670
+عمل دائرة إذا المجال المغناطيسي هيك عامل أصابعي هما
+
+164
+00:12:06,670 --> 00:12:10,250
+تجاه المجال.. أصابعي هما تجاه المجال طبعًا لما
+
+165
+00:12:10,250 --> 00:12:13,530
+يكون فيه circle شباب الـ duration كيف يصير؟ بيكون
+
+166
+00:12:13,530 --> 00:12:17,410
+دائمًا مماس.. مماس طبعًا والمماس علاقته مع نص
+
+167
+00:12:17,410 --> 00:12:21,850
+الخطر بتعرفوها إيش هي؟ عمودية.. عمودية فطبعًا نيجي
+
+168
+00:12:21,850 --> 00:12:25,110
+نفتلع غيره، بقول إيه الشواء اللي بيعمل circles
+
+169
+00:12:25,110 --> 00:12:29,350
+حوالين سلك؟ بقول ها دي الشغل هاي السلك أصابعي
+
+170
+00:12:29,350 --> 00:12:32,140
+الأربعة بيعملوا circles حواليه ولا لأ؟ احنا اتفقنا
+
+171
+00:12:32,140 --> 00:12:34,940
+الـ E ليش بيعملوها؟ بيعملوها لأنه في البداية بيكونش
+
+172
+00:12:34,940 --> 00:12:38,800
+في طالب مدرك الـ I والـ J والـ K قالوا يعملوا هيك والـ
+
+173
+00:12:38,800 --> 00:12:43,580
+X والـ Y والـ Z طب إيش هذا؟ بتعرفوا الاسطوانة أنتو؟
+
+174
+00:12:43,580 --> 00:12:46,140
+الاسطوانة two dimensions ولا three dimensions؟
+
+175
+00:
+
+201
+00:14:40,540 --> 00:14:42,200
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+202
+00:14:42,200 --> 00:14:45,300
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+203
+00:14:45,300 --> 00:14:56,080
+الصحيحة الصحيحة الصحيحة الصحيح
+
+204
+00:14:57,820 --> 00:15:00,980
+حاجة الإيد هادي اللي قصارى بالأربعة بيعملوا دوّال
+
+205
+00:15:00,980 --> 00:15:03,660
+هادي ولا لأ؟ حاجة تجاه الـمجال الميوماطيسي الشباب
+
+206
+00:15:03,660 --> 00:15:07,520
+طبعا هنا مشكلة الـمجال الميوماطيسي ميثابت بيلف
+
+207
+00:15:07,520 --> 00:15:12,880
+وبالتالي عند نقطة كيف بدي أجيبه؟ مماس بيقول الـ
+
+208
+00:15:12,880 --> 00:15:16,180
+magnetic field lines make concentric circles
+
+209
+00:15:16,180 --> 00:15:20,740
+around the wire such that the direction of B at a
+
+210
+00:15:20,740 --> 00:15:23,640
+point is tangent to these circles at that point
+
+211
+00:15:24,730 --> 00:15:28,850
+عشان كده بنقول تلعب هيعملت هيك وهي أصابع الأربعة
+
+212
+00:15:28,850 --> 00:15:33,250
+هذه الـمجال هيك بيعمل بالتالي عند النقطة هذه هيك
+
+213
+00:15:33,250 --> 00:15:35,810
+وعند النقطة هذه هيك وعند النقطة هذه هيك وعند
+
+214
+00:15:35,810 --> 00:15:36,770
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه
+
+215
+00:15:36,770 --> 00:15:36,850
+هيك وعند النقطة هذه هيك وعند النقطة هذه هيك وعند
+
+216
+00:15:36,850 --> 00:15:36,950
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه
+
+217
+00:15:36,950 --> 00:15:37,330
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه
+
+218
+00:15:37,330 --> 00:15:41,830
+هيك وعند النقطة هذه هيك وعند النقطة هذه هيك وعند
+
+219
+00:15:41,830 --> 00:15:53,890
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقط
+
+220
+00:15:56,460 --> 00:15:59,900
+طبعا هو بيقول cash اودي لتجاه الـمجال اللي مابيقولك
+
+221
+00:15:59,900 --> 00:16:04,880
+عنده نقطة تمامة لو بدي عنده نقطة هادي مش هيك بيكون
+
+222
+00:16:04,880 --> 00:16:09,980
+شوفوا أنتو هذا الأزراج عمودي ولا مش عمودي على أنص
+
+223
+00:16:09,980 --> 00:16:18,360
+القطر عمودي طب هنا بتكون .. بتكون هيك ولا لأ صحيح
+
+224
+00:16:18,360 --> 00:16:22,480
+عنده نقطة هادي صحيح
+
+225
+00:16:22,480 --> 00:16:27,610
+عنده نقطة هادي بدي يكون هيك طب عنده نقطة هادي شباب
+
+226
+00:16:27,610 --> 00:16:32,830
+بدي يكون عمودي دي بالكم يعني مرات الواحد بيستخدم
+
+227
+00:16:32,830 --> 00:16:36,250
+حدثه بيقولك لأ الفكرة هتطلع على فوق ولا هتطلع على
+
+228
+00:16:36,250 --> 00:16:40,170
+أمين لما تكون النقطة هادي بدي إنت بيه بتكون هيك
+
+229
+00:16:40,170 --> 00:16:45,310
+ايش اللي حددها الـمماس بالظبط نص القطر لازم تكون
+
+230
+00:16:45,310 --> 00:16:52,680
+عمودية على نص القطر دائما إذا دائما هتعلم أنا أنه
+
+231
+00:16:52,680 --> 00:16:55,600
+لما بيجي في شغلات معقدة شوية بيبقى ارسم دوائر شباب
+
+232
+00:16:55,600 --> 00:17:00,740
+وعمل مماس بتبين معايا في أسئلة تزلني ارسم الدوائر
+
+233
+00:17:00,740 --> 00:17:10,570
+حسب طبيعة الـسؤال حلم مثال الـمجال المغناطيسي بتنصب
+
+234
+00:17:10,570 --> 00:17:13,890
+طردية مع طول الـسلك مع الـتيار عكسية مع مربع
+
+235
+00:17:13,890 --> 00:17:16,690
+الـمسافة حاجة الشغل على الـ فان اعملها بينفعش اجيب
+
+236
+00:17:16,690 --> 00:17:21,150
+الـمجال ضربة واحدة لازم أول اجيب الـمجال لعنصر و
+
+237
+00:17:21,150 --> 00:17:25,570
+بعدين اكامل كوني بتعامل مع vectors التكامل بدأ
+
+238
+00:17:25,570 --> 00:17:28,970
+انتمهن ولازم الـدارشن يكون متساوي إذا الـدارشن مش
+
+239
+00:17:28,970 --> 00:17:35,100
+متساوي شباب مضطر احلل وبنشوف كيف بعد كده الـ
+
+240
+00:17:35,100 --> 00:17:39,440
+direction تبقى بيه بيكون باستخدام اليدي اليمنى
+
+241
+00:17:39,440 --> 00:17:44,200
+إبهامك مع الـتيار أصابعك الأربعة هم بيدو تجاه
+
+242
+00:17:44,200 --> 00:17:48,660
+الـمجال بمعنى آخر الـمجال عبارة عن concentric
+
+243
+00:17:48,660 --> 00:17:52,620
+circles around the wire بيقول يشوف هذا المثال
+
+244
+00:17:52,620 --> 00:17:56,520
+calculate the magnetic field due to a straight
+
+245
+00:17:56,520 --> 00:18:01,950
+wire of length 2L carrying a current I at a point
+
+246
+00:18:01,950 --> 00:18:06,350
+in its perpendicular bisector at a distance a from
+
+247
+00:18:06,350 --> 00:18:12,370
+the wire هاي السليك وهي طوله تنين L بده شدة الـمجال
+
+248
+00:18:12,370 --> 00:18:17,010
+الـتيار تبعه الداني اتجاهه I I وين بده الـمجال؟
+
+249
+00:18:17,010 --> 00:18:20,030
+بيقولوا اللي بده الـمجال عند النقطة هذه هذه النقطة
+
+250
+00:18:20,030 --> 00:18:28,010
+على منتصف بالظبط is perpendicular bisector المعصف
+
+251
+00:18:28,010 --> 00:18:35,680
+للـwire حلوبنحل بنفع عجيب بيه مرة واحدة؟ ايش بتاخد؟
+
+252
+00:18:35,680 --> 00:18:41,860
+بتاخد عنصر دائما في باقة الـ صدارة أول خطوة حدد
+
+253
+00:18:41,860 --> 00:18:45,000
+عنصرك طب بتاخدني عنصر عليها ترسليك وأنا بتاخده
+
+254
+00:18:45,000 --> 00:18:49,440
+عنصر بس ماتخدش عن نقطة فاتة هاي عنصر ايه؟ الأحمر
+
+255
+00:18:49,440 --> 00:18:51,840
+اللي شتت شايفينه طبعا هو المفروض يكون صغير بس واحد
+
+256
+00:18:51,840 --> 00:18:56,040
+بيكبره شوية عشان يبين هذا الأحمر جزء من الأخضر
+
+257
+00:18:56,040 --> 00:19:02,560
+شباب نبدأ بالاكتشاف من أحد الأجزاء من الـحرارة لديها
+
+258
+00:19:02,560 --> 00:19:06,060
+طول دي إيه اللي بتساوي DX عشان الـ صينية بتخليها DX
+
+259
+00:19:06,060 --> 00:19:11,600
+طيب هاللي بتجيب الـمسافة بين النقطة والعنصر الأحمر
+
+260
+00:19:13,390 --> 00:19:17,290
+أه اللي هي هذه مظبوط وفيه ثغوص بيجيب هكس تربية زي
+
+261
+00:19:17,290 --> 00:19:21,910
+بإيه تربية صحيح فهذه زينا فيتا بتعتبرها لإن أنا في
+
+262
+00:19:21,910 --> 00:19:27,330
+عند cost of product بين DL وبين R DL وR يعني أنا
+
+263
+00:19:27,330 --> 00:19:30,150
+بدي الـزيبا بين R وL هي الـزيبا بين R وL عشان اللي
+
+264
+00:19:30,150 --> 00:19:32,230
+cost of product بدي أجيبه وأحط محله صينة فيتا عدي
+
+265
+00:19:32,230 --> 00:19:38,500
+تمام شباب؟ تمام تقولي الآن هاي قانونك Db بسعر
+
+266
+00:19:38,500 --> 00:19:45,680
+ميو ناط I على 4π DL cross الـ R هذه هي الكلة DL
+
+267
+00:19:45,680 --> 00:19:53,240
+cross الـ R unit vector A cross الـ B equal مجموعه A
+
+268
+00:19:53,240 --> 00:19:57,620
+في مجموعه B في صيني الـزاوية اللي بينهم ايش مجموعه
+
+269
+00:19:57,620 --> 00:20:03,300
+DL؟ DX ايش مجموعه هذا؟ 1 في صيني الـزاوية اللي
+
+270
+00:20:03,300 --> 00:20:08,340
+بينهم هذا هو خلّصت كامل جالي جالي بيقول ماهي كامل
+
+271
+00:20:08,340 --> 00:20:12,400
+جالي بيطلع على الـ directions أنا أخدت answer من
+
+272
+00:20:12,400 --> 00:20:17,000
+يقولي كيف اتجاه الـمجال بالـD اليوم ده Dot Dot طب
+
+273
+00:20:17,000 --> 00:20:23,700
+غير عنصرك برضه Dot إذا جميع العناصر لهم نفس اتجاه
+
+274
+00:20:23,700 --> 00:20:27,780
+الـ B إذا أنا قاعد مع بيزا من نفس الاتجاه في مشكلة
+
+275
+00:20:27,780 --> 00:20:32,450
+كامل فش مشكلة كامل كل العناصر يا شباب كده عملناها
+
+276
+00:20:32,450 --> 00:20:37,770
+حطوا بهمكم مع الـتيار وهي أصابعك الأربعة بيكونوا
+
+277
+00:20:37,770 --> 00:20:44,310
+متوجهين عليك تمام يا شباب؟ يقول الـ direction of
+
+278
+00:20:44,310 --> 00:20:48,250
+the magnetic field by the right hand rule is out
+
+279
+00:20:48,250 --> 00:20:55,210
+of the page for all elements of the wire, thus in
+
+280
+00:20:55,210 --> 00:20:58,270
+integrating over the wire we can adjust their
+
+281
+00:20:58,270 --> 00:20:58,930
+magnitudes
+
+282
+00:21:04,090 --> 00:21:09,430
+طلعنا فهوابتنا ميو نوت I على أربعة باعي شباب R هذه
+
+283
+00:21:09,430 --> 00:21:13,310
+ثابتة لكل العناصر؟ لأ لإن بتعتمد على X وX متغيرة
+
+284
+00:21:13,310 --> 00:21:17,510
+والزاوية ثابتة لكل العناصر؟ برضه متغيرة جل كامل
+
+285
+00:21:17,510 --> 00:21:23,580
+مش هاطر كامل ليه هذا؟ هو متغير فيه شبك X وR وثيتا
+
+286
+00:21:23,580 --> 00:21:27,880
+X حللها فيثاورس اللي هي X وR طب وش عين الثيتا
+
+287
+00:21:27,880 --> 00:21:31,680
+مانجاش احلها مش بيساوي A على R إذا كلها بيحولها
+
+288
+00:21:31,680 --> 00:21:37,760
+لمتغير واحد اللي هو X بقول from the geometry of
+
+289
+00:21:37,760 --> 00:21:40,560
+the figure we obtain R تربيه بيساوي X تربيه زي A
+
+290
+00:21:40,560 --> 00:21:44,040
+تربيه فيثاورس وصيني الـزاوية بيساوي مقابلة على وطر
+
+291
+00:21:44,040 --> 00:21:49,880
+A على R ايش تغير طلعتها؟ حدود التكامل، ماهو الـمتغير
+
+292
+00:21:49,880 --> 00:21:54,660
+الوحيد اللي بقى الـحداد؟ X، من بداية الـسلك لنهاية
+
+293
+00:21:54,660 --> 00:22:00,400
+الـسلك، كيف X بتكون؟ ببدأ من الـ0، عند أي نقطة، X
+
+294
+00:22:00,400 --> 00:22:04,640
+بتساوي سفر عند أي نقطة X بالثلاثة صفر X بصوم عندكم
+
+295
+00:22:04,640 --> 00:22:09,940
+في الـرسم يا جماعة هل تبقى هذه بداية الـسلك؟ لأ وأنا
+
+296
+00:22:09,940 --> 00:22:13,600
+من قول حدوث التكامل من بداية الـسلك لنهاية الـسلك من
+
+297
+00:22:13,600 --> 00:22:16,080
+بداية الـغرفة لنهاية الـغرفة مينفعش أبدأ من هات و
+
+298
+00:22:16,080 --> 00:22:19,600
+أقول كمل لأ وليه مينفع أقول أقعد وأرجع وأقول
+
+299
+00:22:19,600 --> 00:22:22,940
+ساقطت وكان الجامعة تشغلها مرتين مظبطاني لأ إذا
+
+300
+00:22:22,940 --> 00:22:29,230
+دايما بديك تبدأ من وين من هات ايش X بتكون؟ هنا أنا
+
+301
+00:22:29,230 --> 00:22:33,930
+اكتشفك يفهم الفرق يعني سالب L وهناك L فبالتالي من
+
+302
+00:22:33,930 --> 00:22:38,250
+سالب L ل L اه
+
+303
+00:22:38,250 --> 00:22:43,590
+إذا هذه سألة تانية عشان كده بدنا عشان احنا نحفظ
+
+304
+00:22:43,590 --> 00:22:47,270
+خوارط مرات بتظبط ومرات بتظبطش لأ هم من فقص L ل L
+
+305
+00:22:47,270 --> 00:22:52,030
+فحد بيقولهم أنت ايه بنقعد وأحر بعدين تمام فبدنا
+
+306
+00:22:52,030 --> 00:22:54,810
+عشان نعمل تغيير يكون له شروط ومانطبقش الـشرط و
+
+307
+00:22:54,810 --> 00:23:01,810
+نلعب فيها تمام إذا حدود التكامل واضحة الشباب، إذا
+
+308
+00:23:01,810 --> 00:23:06,170
+بقول من ناقص L ل L، بلحج ورا الـمتغير تبعي، طبعا لما
+
+309
+00:23:06,170 --> 00:23:10,710
+يكون متغير فيتا، زي مرات كانوا احنا محل في
+
+310
+00:23:10,710 --> 00:23:15,070
+الامتحان وبصلع، مرات واحد يقولك دي Q، دي Q، ايه
+
+311
+00:23:15,070 --> 00:23:19,050
+جودة التكامل؟ دي Q، أخذ أحط من Zero ل Bi على
+
+312
+00:23:19,050 --> 00:23:22,250
+اتنين، بنفع؟ يعني بنفع التكامل يكون هات شباب؟
+
+313
+00:23:26,900 --> 00:23:30,900
+أول كيوز بتكون باية اتنين وقتش أنا اتمنس انها باية
+
+314
+00:23:30,900 --> 00:23:33,960
+اتنين لما يكون فيه ثيتا .. ثيتا اللي بتتغير ..
+
+315
+00:23:33,960 --> 00:23:36,160
+تشوف الواحد مرات يقوم بعمل شغل مش عارف اللي
+
+316
+00:23:36,160 --> 00:23:39,260
+بيسويه .. بيكون مش عارف اللي بيسويه .. حافظ شغلات
+
+317
+00:23:39,260 --> 00:23:41,900
+موجودة .. أنه فيه باية اتنين وفيه باي ومش عارف ايه
+
+318
+00:23:41,900 --> 00:23:44,760
+.. اكلاش اللي جوا هنا .. مالاش جوا .. بجربوا بعض
+
+319
+00:23:44,760 --> 00:23:48,260
+.. بجربوش بعض .. هو حر .. لإن أنا بجمع كيوز .. هلي
+
+320
+00:23:48,260 --> 00:23:50,440
+من سفر اللي كامت الكيوز؟ اه .. بس من سفر اللي باية
+
+321
+00:23:50,440 --> 00:23:57,410
+اتنين .. مالطبعا ولا لما اقول DX أو DR بتبقى صفر
+
+322
+00:23:57,410 --> 00:24:01,230
+لا بقى اتنين بتبقى اتواع طبعا حاجة لما تكون دي
+
+323
+00:24:01,230 --> 00:24:04,810
+فيتا بس ومرات بيكون متغير دي فيتا ساعتها بتعامل
+
+324
+00:24:04,810 --> 00:24:08,090
+معاه على هذا الأساس يعني لو كان دي فيتا بنفع أقول
+
+325
+00:24:08,090 --> 00:24:13,640
+منخس LL فعش؟ بقى نقول عمره θ بتكون L ونقص M فهي
+
+326
+00:24:13,640 --> 00:24:17,760
+بتكون زوايا فهنا أنا عندي X اللي بكمل عليه بقول X
+
+327
+00:24:17,760 --> 00:24:21,220
+ايه بتساوي مع بداتي الـسلكي مايديش X ومع نهايتي
+
+328
+00:24:21,220 --> 00:24:26,200
+الـسلكي مايديش X هذا هو حدود التكامل هي قيم المتاحة
+
+329
+00:24:26,200 --> 00:24:29,880
+الـممكنة ل X هي حدود التكامل لأن في الآخر أنا مش
+
+330
+00:24:29,880 --> 00:24:34,240
+متعود عن X إذا هذه قيم ل X طبعا
+
+331
+00:24:35,800 --> 00:24:38,400
+كلكم بتاخدوا الـ Calculus بيه قاعدين صح؟ بتعرفوا
+
+332
+00:24:38,400 --> 00:24:45,520
+يجيبوها ده؟ X إيش بتساوي؟ 10 X بيساوي A 10 لما
+
+333
+00:24:45,520 --> 00:24:48,660
+أربحها بيصير A تربيع 10 تربيع بتاخدوا الـ A فارع
+
+334
+00:24:48,660 --> 00:24:51,760
+بيصير واحد زي الـ 10 ايش؟ واحد زي الـ 10 تربيع سك
+
+335
+00:24:51,760 --> 00:24:55,720
+تربيع الـسك تربيع تحت الـجنزة بيصير سك هنا بيصير سك
+
+336
+00:24:55,720 --> 00:24:59,940
+تكعيب والـسك تكعيب بقدر أتعامل معاه وأجيبه طبعا
+
+337
+00:24:59,940 --> 00:25:03,220
+هذا في الـ calculus احنا لو طلعت عجب دي تكتب الـ
+
+338
+00:25:03,220 --> 00:25:06,840
+calculus هتلاقي التكامل هذا موجود على الـجلدة طبعا ليش
+
+339
+00:25:06,840 --> 00:25:09,180
+بقعدتوا على الـجلدة كمان مرة عشان تعرفوا ان في بعض
+
+340
+00:25:09,180 --> 00:25:14,560
+أمور كتيرة بدناش نحفظها بيصير common برجع وبقول
+
+341
+00:25:14,560 --> 00:25:18,100
+دي أما بضرب المثل زي يدور الدرب بنزهر جولاتي
+
+342
+00:25:18,100 --> 00:25:22,340
+الابتدائية عليه عشان يحفظوه بعد كده الكل بينسى
+
+343
+00:25:22,340 --> 00:25:26,080
+وبيصير الكلب كله تلت نية في تلاتة بيقولك اطلعك
+
+344
+00:25:26,080 --> 00:25:30,960
+الكلتة كده أنت تطلع ده جهة ستة بيخاف الواحد يعتمد
+
+345
+00:25:30,960 --> 00:25:32,580
+على حاله، بيقولك في ذلك الكتاب اللي موجود، اتنين
+
+346
+00:25:32,580 --> 00:25:35,160
+في تلاتة بيصي الواحد يعتمد على أهل أكتر من اعتماده
+
+347
+00:25:35,160 --> 00:25:37,900
+على حاله، وهذه الشغلات كتيرة موجودة زي ما أنا
+
+348
+00:25:37,900 --> 00:25:40,640
+حكيت، أنا هذه الشغلات أخدتها في السنة التامانين،
+
+349
+00:25:40,640 --> 00:25:44,620
+لما كنت سنة أولى جامعة، وبعدين نسيت، اه خلاص بطل
+
+350
+00:25:44,620 --> 00:25:47,460
+الواحد اتمل عليه، ليش؟ لإن ما صارت ديش تكملات، لا
+
+351
+00:25:47,460 --> 00:25:50,080
+جول سك ولا جول كان، بفتح الكتاب ودي بالنتيجة، و
+
+352
+00:25:50,080 --> 00:25:54,740
+خلاص، بيبطل الواحد كتير محتاجة لأنه بس اتعلمناها
+
+353
+00:25:54,740 --> 00:25:57,540
+أقولنا أن في والله a triumetric substitution أن
+
+354
+00:25:57,540 --> 00:26:01,860
+عوض وبنجيبها وفي technique معروف ومن بسطها ومن
+
+355
+00:26:01,860 --> 00:26:06,000
+طلعها وبالأخر هذه بتصير منجولة في نظام الامتحان
+
+356
+00:26:06,000 --> 00:26:11,260
+بيصير شبهها لكن هذه مشهورة عشان أنتو طعظة
+
+357
+00:26:11,260 --> 00:26:14,060
+بتاخدوها قاعدين أنتو بتاخدوها طعظة كيف تتعاملوا
+
+358
+00:26:14,060 --> 00:26:16,500
+معاها عشان لاحد بذكركم فيها مش أكتر
+
+359
+00:26:21,520 --> 00:26:24,600
+وعوّدت وكملت وعوّدت طبعا أنتو لما تطلع سك و
+
+360
+00:26:24,600 --> 00:26:27,440
+cosine في الآخر هتحولوا الـسك ل cosine هترجعوها
+
+361
+00:26:27,440 --> 00:26:32,060
+بتعرفوا بتعملوا مثال لها عشان ترجعوها X عشان
+
+362
+00:26:32,060 --> 00:26:36,420
+تعرفوا تعودوا في الآخر طلعت هيك شباب هذه هي النتيجة
+
+363
+00:26:36,420 --> 00:26:39,680
+طبعا هذه مثال بدي شباب أحفظ نتيجته بس بدي أعرف كيف
+
+364
+00:26:39,680 --> 00:26:43,560
+اتعامل معاه وكيف النتيجة عملتها بس بيقوللي بدي
+
+365
+00:26:43,560 --> 00:26:47,520
+أعمل شوية test عليه بيقوللي هدا الـsilicon 2L لو
+
+366
+00:26:47,52
+
+401
+00:29:29,940 --> 00:29:36,140
+portions and a curved one أمين طيب طلع الـ straight
+
+402
+00:29:36,140 --> 00:29:40,020
+portions هذي الأزرق هو R ولا لأ مش بعد العنصر
+
+403
+00:29:40,020 --> 00:29:46,340
+تعتبر الأحمر هو العنصر الأحمر هو عنصري R  المسافة
+
+404
+00:29:46,340 --> 00:29:48,940
+بين العنصر و النقطة الخط الأزرق
+
+405
+00:29:51,620 --> 00:29:57,360
+الخط الأحمر صح ولا لأ اروح هنا جديش الزاوية بين R
+
+406
+00:29:57,360 --> 00:30:04,680
+و L؟ Zero و هنا في الحالتين جديش B؟ Zero يعني اللي
+
+407
+00:30:04,680 --> 00:30:08,760
+مش حافظ الشغلة يطبقها يقوله أنا ناسي ابدا يشمل و
+
+408
+00:30:08,760 --> 00:30:13,160
+يشتغل بس ماينساش انه صين سفر؟ سفر وصين 180؟ سفر
+
+409
+00:30:13,160 --> 00:30:18,860
+وضيعه في الآخر بيذكر انه قاعد و بضيعه طيب الان
+
+410
+00:30:18,860 --> 00:30:28,100
+بالنسبة للمقاومة الواضحة لدينا الـ L كيف اتجاه
+
+411
+00:30:28,100 --> 00:30:31,320
+الـ L هذه المجوزة؟
+
+412
+00:30:36,020 --> 00:30:39,340
+لأن هو مظبوط هو هيك فبركات كون عند كل نقطة مختلفة
+
+413
+00:30:39,340 --> 00:30:42,780
+الـ direction معناته اذا عن كل نقطة بتاخد مماس لما
+
+414
+00:30:42,780 --> 00:30:45,700
+تاخد عنصر المعناته متحددة النقطة عند هذه النقطة
+
+415
+00:30:45,700 --> 00:30:48,660
+هذا هي طبعا أنا اعملك هيك عشان تكون عدلة ادم
+
+416
+00:30:48,660 --> 00:30:53,760
+اعملها بصورة مختلفة هاي DL جديش الزاوية بين DL و R
+
+417
+00:30:53,760 --> 00:31:00,060
+90 لأن مماس نص قطر هالـ R نص قطر ولا لأ طيب غير عنصر
+
+418
+00:31:00,060 --> 00:31:03,760
+R بتتغير ده نص قطر لان بتتغير ليا حضرة التكامل
+
+419
+00:31:03,760 --> 00:31:05,500
+عالدي من يجيب الـ direction
+
+420
+00:31:09,160 --> 00:31:16,900
+cross cross الكل جابها cross cross ضلك لف أصابعك
+
+421
+00:31:16,900 --> 00:31:19,120
+لما يضربوها عنده النقطة شوف كده بدربو النقطة
+
+422
+00:31:19,120 --> 00:31:24,160
+بدربوها النقطة على اللوح صح ايه ده هيا بتعمل هيك و
+
+423
+00:31:24,160 --> 00:31:31,720
+دلك ماشي لما تصير أصابعك هيك بالظبط تم؟
+
+424
+00:31:31,720 --> 00:31:35,530
+طيب كل العناصر الناس القضية ولا لأ؟كل العراسة اللي
+
+425
+00:31:35,530 --> 00:31:42,410
+مجوثة كلها into the beige بقولوا ايش تغير على الـ DB
+
+426
+00:31:42,410 --> 00:31:47,550
+بيقولوا DB بيساوي من نقطة I DL كوص R unit vector
+
+427
+00:31:47,550 --> 00:31:53,610
+DL كوص واحد اللي هي DL في واحد في صين الزاوية على
+
+428
+00:31:53,610 --> 00:31:58,010
+R تربية هذه R بتحط محلها كبة الـ R اه هي كبة الـ R
+
+429
+00:31:58,010 --> 00:32:02,330
+بيقولوا Note that each element on the arc wire
+
+430
+00:32:02,330 --> 00:32:06,690
+gives a contribution DB which is directed into the 
+
+431
+00:32:06,690 --> 00:32:10,850
+page كلهم into the beige و الـ sin θ ليش هيعتبرها
+
+432
+00:32:10,850 --> 00:32:20,210
+واحد؟ 90 تلاحق في جمهر مرة بديل R اسموها R capital
+
+433
+00:32:20,210 --> 00:32:24,810
+صح و طلعه عبر التكامل ايش تفرجه التكامل؟ DL ايش
+
+434
+00:32:24,810 --> 00:32:28,150
+تكمل الـ DL؟ طول السنة كان السنة الجوز صح؟ طول
+
+435
+00:32:28,150 --> 00:32:31,730
+الجوز ايش تسيبه؟ بالزاوية R في الزاوية المحصورة
+
+436
+00:32:31,730 --> 00:32:38,880
+هذا Rθ ولا مش Rθ؟ هذا هي Using the fact that the
+
+437
+00:32:38,880 --> 00:32:42,720
+length of the arc is L بتساوي R في θ, the result
+
+438
+00:32:42,720 --> 00:32:46,300
+reduces to هاي قانون، برضه مش قانون هو يعني، برضه
+
+439
+00:32:46,300 --> 00:32:51,160
+نتيجة، برضه نتيجة شباب طبعا لما تحلوا في هذا
+
+440
+00:32:51,160 --> 00:32:54,600
+الكتاب اكتفي، بيجيبكم أسئلة تطبيق مباشر على
+
+441
+00:32:54,600 --> 00:32:57,740
+القانون، يعني هو على اعتبار أنه القانون تعارفه و
+
+442
+00:32:57,740 --> 00:33:01,320
+بتبدأ تنقله من الكتاب، فبيجيب تطبيق مباشر، لو كانت
+
+443
+00:33:01,320 --> 00:33:04,280
+الزاوية تلاتين، إيش هحط هنا؟بقى على ستة ماتحطش
+
+444
+00:33:04,280 --> 00:33:07,220
+تلاتين مش تحطها تلاتين و تطلع الجواب فى برا يجي
+
+445
+00:33:07,220 --> 00:33:10,080
+الجواب مختلف يقولوا يا رب العين غلط لأ إذا حطتها
+
+446
+00:33:10,080 --> 00:33:13,340
+تلاتين ماتطلعش الجواب مش هتحط بقى على ستة ذاكرين
+
+447
+00:33:13,340 --> 00:33:20,080
+في الفيزيائية فقلنا لما نقول sine خمينا نقول فيتا
+
+448
+00:33:20,080 --> 00:33:25,700
+نفضلت هيك و نكامل او نفاضل ماش بيصير فيتا كوصين
+
+449
+00:33:25,700 --> 00:33:28,840
+فيتا تي صح ولا لأ حدث انت كده بيعملها و حدث انت
+
+450
+00:33:28,840 --> 00:33:33,120
+كده بيعملها هذه فيتا بتكون بال radian هذه فيتا بال
+
+451
+00:33:33,120 --> 00:33:36,340
+degree لما تكون فيتا جوا الصين أو جوا القصين أو
+
+452
+00:33:36,340 --> 00:33:40,380
+جوا التان بحوقها degrees لكن لما تكون برا بعتبرها
+
+453
+00:33:40,380 --> 00:33:43,940
+بال radian تمام فهنا هذه برا فبالتالي هذه مانفعش
+
+454
+00:33:43,940 --> 00:33:46,920
+احطها تلاتين درجة او كسعين درجة باي ع اتنين مية و
+
+455
+00:33:46,920 --> 00:33:52,940
+تمانين درجة باي تمام طيب هذه لجوس طيب لو الجوس كبر
+
+456
+00:33:52,940 --> 00:33:57,720
+كله بيضاله جوس او بيضالش جوس ايش هحط محل فيتا لو
+
+457
+00:33:57,720 --> 00:34:03,370
+كان دائرة كاملة تنين باير اتنين باير و بقدر اجيبه
+
+458
+00:34:03,370 --> 00:34:10,070
+if the wire is a circular ring then the magnetic
+
+459
+00:34:10,070 --> 00:34:13,530
+field at its center is found from the last
+
+460
+00:34:13,530 --> 00:34:17,390
+equation by letting θ بالساوية تنين باير فتحقق
+
+461
+00:34:17,390 --> 00:34:22,970
+تنين باير و طلعت هيك هذا شدت المجال المغناطيسي عند
+
+462
+00:34:22,970 --> 00:34:28,030
+مركز دائرة عند مركز دائرة بده احفظه هذا بده احطه
+
+463
+00:34:29,480 --> 00:34:37,340
+الـ Decenter بتساوي new root I على اتنين R قد
+
+464
+00:34:37,340 --> 00:34:45,080
+هتجيب يعني هاي circle و هنا هو مرات كده بيجيب مرات
+
+465
+00:34:45,080 --> 00:34:48,960
+كده في المجال عاد و نقول هاي circle او جدلي بيه طب
+
+466
+00:34:48,960 --> 00:34:52,920
+عم تحس هذا القانون لا يحفظ كده تجيب جدلي بيه هجيب
+
+467
+00:34:52,920 --> 00:34:57,160
+.. ب .. ب .. بجسمها كام جطعة على هذا مافيش غير
+
+468
+00:34:57,160 --> 00:35:02,250
+واحدة طبعا بقول دي بيكتفير نفسه بتفير هيك بقول يا
+
+469
+00:35:02,250 --> 00:35:07,710
+نصري هي DL مظبوط ولا لأ؟ هي R هي نفس كابتن الـ R
+
+470
+00:35:07,710 --> 00:35:14,910
+ولا لأ؟ اتوا بقول DB سوى Mu0 R DL cross R يوم
+
+471
+00:35:14,910 --> 00:35:18,130
+انفكتور على R تربية هي قانون هيك بدة بيه صدرتله
+
+472
+00:35:18,130 --> 00:35:26,840
+تمام بتساوي Mu0 I على كابتن الـ R تربية DL DL في
+
+473
+00:35:26,840 --> 00:35:31,720
+magnitude في صيني الزاوية كده الصيني الزاوية؟ كيف
+
+474
+00:35:31,720 --> 00:35:35,280
+بيحظروا الشباب؟ بعدين بقول انه في هذا كيف تجاه
+
+475
+00:35:35,280 --> 00:35:40,260
+التيار؟ تجاه .. تجاه المجال sorry .. تجاه المجال
+
+476
+00:35:40,260 --> 00:35:47,240
+كيف بيدعرفوه؟ خارج الكل يعرفوا انه خارج؟ شباب
+
+477
+00:35:47,240 --> 00:35:53,100
+هايوة بكون هيك طبعا بعد كده بيقول لكل العصر اللي
+
+478
+00:35:53,100 --> 00:35:56,460
+خارج مكانه ايش بتوجيه التكامل؟ تكامل الـ DLL
+
+479
+00:35:56,460 --> 00:36:00,240
+استرجوص محيط اتنين بيقعد و حياتي بيبقى بتطلع نفس
+
+480
+00:36:00,240 --> 00:36:06,000
+النتيجة هذه في كل حوالي طيب كمان مثال حد المثال
+
+481
+00:36:06,000 --> 00:36:09,440
+بتعمل له نفس الـ ring بيقول ليه الـ ring طبعا طلعت
+
+482
+00:36:09,440 --> 00:36:12,330
+الـ ring بس لمين هي دي ده نقطة وين؟ هذه في الـ
+
+483
+00:36:12,330 --> 00:36:14,610
+Center النقطة اللي أنا بديش احطها في الـ Center
+
+484
+00:36:14,610 --> 00:36:18,590
+لنشوف ايش بيصير معاه بقول ا consider a circular
+
+485
+00:36:18,590 --> 00:36:25,890
+loop يعني رنك of radius capital I ا ا راينج in the
+
+486
+00:36:25,890 --> 00:36:30,630
+YZ بلين if the loop carries a current I as shown
+
+487
+00:36:30,630 --> 00:36:34,370
+find the magnetic field at point P a distance Y
+
+488
+00:36:34,370 --> 00:36:37,810
+from the Center اذا مشحت الـ Center هاي Loop
+
+489
+00:36:37,810 --> 00:36:42,590
+شايفينها؟ بدوش بيه عند السنتار بدو بيه هناك شايفين
+
+490
+00:36:42,590 --> 00:36:45,610
+وين بدو بيه؟ وقتيش هذه النتيجة تطلع نفس النتيجة
+
+491
+00:36:45,610 --> 00:36:49,830
+هذه لما النقطة تصير في المركز يعني لما y تساوي صفر
+
+492
+00:36:49,830 --> 00:36:54,210
+صح ولا لأ؟ اذا y ساوي صفر مفروض نتيجة هذا المثال
+
+493
+00:36:54,210 --> 00:36:59,710
+وهذه تطلع نفسها تمام كمان مرة كان بيدحل قال لأخوه
+
+494
+00:36:59,710 --> 00:37:02,910
+لأنصر هاي الطيارة شايفينه الطيارة شباب بيداخد أنصر
+
+495
+00:37:02,910 --> 00:37:05,410
+بيداخد أنصر
+
+496
+00:37:08,970 --> 00:37:12,110
+العنصر دايما من السلك والسلك يالا حلقة يالا ناخد
+
+497
+00:37:12,110 --> 00:37:15,970
+عنصر شباب تنجن to the loop and therefore the angle
+
+498
+00:37:15,970 --> 00:37:19,290
+between the eye and eye is 90 هذه ما النجعة فيها
+
+499
+00:37:19,290 --> 00:37:26,290
+لو كنت تاخد عنصر هنا اتجاه التيار صحكشوف شبابها
+
+500
+00:37:26,290 --> 00:37:29,890
+هاي الـ loop هيك الطيار بمشي هنا كيف بتكون الـ loop
+
+501
+00:37:29,890 --> 00:37:35,970
+ايها طب هنا خارج هنا بتكون هيك طب أنا فاهم ان أنا
+
+502
+00:37:35,970 --> 00:37:38,710
+نصم ايه اللي أنا نصم هيك عشان كده حكاية البرغي
+
+503
+00:37:38,710 --> 00:37:43,250
+المقدمة تواصل كتير بساعدونا الـ loop أنا عامله هيك
+
+504
+00:37:43,250 --> 00:37:47,550
+طب أنا كالكتاب عامل الـ loop والفوجوف شوية أنا هيك
+
+505
+00:37:47,550 --> 00:37:53,990
+اعتقد هيك الـ loop احلى تنفهم اكتر تمام بعد كده
+
+506
+00:37:53,990 --> 00:37:54,910
+يقول ايه اشتغل
+
+507
+00:37:58,410 --> 00:38:01,270
+عمودية على اللوحة مش عمودية على اللوح مش ايه
+
+508
+00:38:01,270 --> 00:38:05,410
+العمودية على اللوح داخل ولا خارج طب اه المسافة بين
+
+509
+00:38:05,410 --> 00:38:09,650
+العنصر و النقطة على اللوح في اللوح جديش الزاوية
+
+510
+00:38:09,650 --> 00:38:18,970
+بينهم تسعين درجة تمام لأن هذا شباب هذا
+
+511
+00:38:18,970 --> 00:38:23,850
+هيه و هذا هيه جديش الزاوية بينهم تسعين اذا صينا
+
+512
+00:38:23,850 --> 00:38:28,540
+تسعين واحد و هو ايه عشان اما تحط القانون الآنهي
+
+513
+00:38:28,540 --> 00:38:33,320
+ارها دي مش مشكلة بيقول لي دي بي بيصومني not id الـ
+
+514
+00:38:33,320 --> 00:38:37,520
+sin فيتا على r تربيع هادي الـ sin فيتا 97 درجة
+
+515
+00:38:37,520 --> 00:38:40,360
+فطلعت هيك هجيت r تربيع اللي هي هادي استخدام
+
+516
+00:38:40,360 --> 00:38:43,660
+القانون فيفا غوص r تربيع زاد y تربيع مافيش اي
+
+517
+00:38:43,660 --> 00:38:48,280
+مشكلة تمام بتجيب الـ direction لأ كي بتجيب الـ
+
+518
+00:38:48,280 --> 00:38:54,420
+direction يلا يجيبولي الـ direction تبع بي احنا
+
+519
+00:38:54,420 --> 00:39:02,320
+خربطنا اعتمدنا على ايدنا حطوا رأي افهمكم معين، مع
+
+520
+00:39:02,320 --> 00:39:09,840
+التيار، التيار اينه؟ كُس، هي التيار، مظبوط؟ كيف
+
+521
+00:39:09,840 --> 00:39:15,200
+يجب ان يكون؟ من يقول لي كيف؟ مش هي تجاه التيار؟
+
+522
+00:39:15,200 --> 00:39:20,900
+أنا اكفلتكم منها دي، هي تجاه التيار شباب،
+
+523
+00:39:20,900 --> 00:39:24,780
+هي النقطة B، كيف اتجاهها؟
+
+524
+00:39:34,140 --> 00:39:35,080
+مش هيك بيكون؟
+
+525
+00:39:40,250 --> 00:39:45,070
+مش مش تقول الحكي هنا؟ بتكون مماس والمماس عمودي على
+
+526
+00:39:45,070 --> 00:39:48,210
+نص القطر؟ كيف نتعامل مع نص القطر يا شباب؟ نص القطر
+
+527
+00:39:48,210 --> 00:39:51,970
+هي المسافة بين السلك والنقطة، هيك يعملوا، مش هالنص
+
+528
+00:39:51,970 --> 00:39:55,850
+القطر؟ بين النقطة والسلك، لأن النقطة على الدائرة
+
+529
+00:39:55,850 --> 00:40:00,490
+والسلك هو مركزي الدائرة، تمام؟ إذن دائما نص قطركم
+
+530
+00:40:00,490 --> 00:40:03,430
+المسافة بين السلك والنقطة، بعدين لما تيجي الـ
+
+531
+00:40:03,430 --> 00:40:06,990
+direction، الـ temple هيكون عمودي، حاجة لو واحد
+
+532
+00:40:06,990 --> 00:40:11,720
+جالة فوق، طلعت هيك ظلط .. لو حد عملها ايه .. برضه
+
+533
+00:40:11,720 --> 00:40:15,820
+غلط .. اذا بدنا نعمل ماهو .. وقت إيش هذه بتكون هيك
+
+534
+00:40:15,820 --> 00:40:19,000
+لما تكون النقطة هنا .. وقت إيش بتكون لأعلى لما
+
+535
+00:40:19,000 --> 00:40:22,580
+تكون النقطة هنا .. صح ولا لأ .. أما هنا طب أنا كده
+
+536
+00:40:22,580 --> 00:40:26,040
+بدي اعملها عشان أي حالة .. المشهور بيقوللي المجال
+
+537
+00:40:26,040 --> 00:40:31,200
+المغناطيسي عبارة عن دوائر مركزها إيش .. السلك ..
+
+538
+00:40:31,200 --> 00:40:34,980
+إذا روسم دائرة .. هاي دائرة .. هاي المجال
+
+539
+00:40:34,980 --> 00:40:38,770
+المغناطيسي هذه المجال اللى مانا ماتيصى هى أنا بقدر
+
+540
+00:40:38,770 --> 00:40:41,750
+اجيب ما .. مافيش ممكن يخبط نص القطر بيانه ولا لا
+
+541
+00:40:41,750 --> 00:40:50,290
+مابينش نص القطر؟ HDB HDB واضحة شباب؟ طيب، غيره
+
+542
+00:40:50,290 --> 00:40:56,950
+عنصر طيب
+
+543
+00:40:56,950 --> 00:41:01,950
+خلّيني أغيره عنصر حلو، عنصر هذا شايفينه؟ هي بيكون
+
+544
+00:41:01,950 --> 00:41:07,340
+برا ولا مش برا؟ إذا مش بسرعة تيجي إذا مش نفس
+
+545
+00:41:07,340 --> 00:41:10,200
+الاتجاه نشي و أقعد يا جوه يا عبدالبارح عشان نلف
+
+546
+00:41:10,200 --> 00:41:13,340
+السلك طب كيف بيدعمل؟ قولي رسم دائرة، قولي مش حالك،
+
+547
+00:41:13,340 --> 00:41:18,540
+هاي رسم الدائرة حاجات الدائرة هيك بتعمل، مظبوط؟
+
+548
+00:41:18,540 --> 00:41:24,600
+إيه زي معناته هي؟ زي بعض هذه التلين الزرق؟ إيش
+
+549
+00:41:24,600 --> 00:41:31,200
+بضيع؟ بضيع السين، بضيع السين، طيب خلينا نرجع هنا
+
+550
+00:41:31,200 --> 00:41:31,360
+جوا
+
+551
+00:41:36,170 --> 00:41:40,470
+وحدة واحدة اقول التالي احنا اشتغل لو بدي اكامل جبل
+
+552
+00:41:40,470 --> 00:41:44,330
+ما اكامل بدي اعمل Tesla Direction هذا هو الشغل
+
+553
+00:41:44,330 --> 00:41:48,290
+اللي بشتغله اعمل الـ DB هذي مش فيها مشكلة شباب يلا
+
+554
+00:41:48,290 --> 00:41:53,070
+كامل جالي قبل ما تكامل شوف الـ Direction بقول الـ
+
+555
+00:41:53,070 --> 00:41:57,750
+Direction هذا هو DB It is clear that the direction
+
+556
+00:41:57,750 --> 00:42:02,190
+of P differs from one element to the other. And
+
+557
+00:42:02,190 --> 00:42:05,290
+from the symmetry above the y-axis, we conclude
+
+558
+00:42:05,290 --> 00:42:08,370
+that the x-components cancel and only the y
+
+559
+00:42:08,370 --> 00:42:09,670
+-components sum up.
+
+560
+00:42:26,440 --> 00:42:32,640
+الان اشتغلت طبعا عشان تجيب شباب الصينى بدك تكون
+
+561
+00:42:32,640 --> 00:42:37,200
+cosine صينى و cosine صعب الصينى روح تحط cosine
+
+562
+00:42:37,200 --> 00:42:41,280
+ثيتا و ثيتا هي بأيه تبعتك هي ثيتا طبعا ثيتا كيف
+
+563
+00:42:41,280 --> 00:42:47,640
+بدي اجيبها؟ ايش عورقة هادي مع هادي؟
+
+564
+00:42:47,640 --> 00:42:52,540
+متممة؟ مظبوط ولا لأ؟ ليش؟ لأن هذا نسقطر وهذا مماس
+
+565
+00:42:52,540 --> 00:42:55,460
+حلو؟ طب ايش عورقة هادي مع هادي؟
+
+566
+00:42:58,330 --> 00:43:02,710
+برضه متأممة إذا هذه وهذه بتأمم وبعد إذا هذه فيتا
+
+567
+00:43:02,710 --> 00:43:05,730
+صحيح؟
+
+568
+00:43:05,730 --> 00:43:10,470
+طب sign فيتا إيش بتساوي؟ كبتة العار عصم العار
+
+569
+00:43:10,470 --> 00:43:14,550
+مظبوط ولا ده؟ لإن أنا بديها على الـ sign لإن أنا
+
+570
+00:43:14,550 --> 00:43:17,970
+بديها على الـ
+
+601
+00:45:59,740 --> 00:46:03,700
+قلنا أي سلك بيحمل تيار موجود في مجال مغناطيسي يبدو
+
+602
+00:46:03,700 --> 00:46:06,240
+يتحرك و لا يبدو يتحرك لما قلنا زي الفلان اللي
+
+603
+00:46:06,240 --> 00:46:09,800
+يتحرك و يحرك السلك إذا معناته لما يكون في عندي
+
+604
+00:46:09,800 --> 00:46:14,740
+سلكين سلك بيولد مجال وسلك بيتأثر في المجال و بيتحرك
+
+605
+00:46:14,740 --> 00:46:21,000
+كيف نعملها؟ يقول consider two long and straight 
+
+606
+00:46:21,000 --> 00:46:24,500
+parallel wires separated by a distance a and
+
+607
+00:46:24,500 --> 00:46:30,500
+carrying currents I1 and I2 هجيت لجولة أي واحد
+
+608
+00:46:30,500 --> 00:46:36,400
+بحسب هذه القاعدة بيولد مجال مغناطيسي ولا لا؟ هنا في
+
+609
+00:46:36,400 --> 00:46:39,020
+مجال مغناطيسي اللي جاي من هذه طب و هذا صار موجود
+
+610
+00:46:39,020 --> 00:46:43,220
+في مجال مغناطيسي و القانون التابع بيقول F بيساوي
+
+611
+00:46:43,220 --> 00:46:48,800
+I L cross الـ B هدان الـ straight wires نيجي لعبة
+
+612
+00:46:48,800 --> 00:46:53,640
+السلك في تيار في تيار موجود في مجال مغناطيسي
+
+613
+00:46:53,640 --> 00:46:57,960
+موجود من جهة الـ wire المجال اللي فوق إذا صار هذا
+
+614
+00:46:57,960 --> 00:47:02,000
+بيتأثر في هذا طب و هذا الموجود في التاني لكل فئة
+
+615
+00:47:02,000 --> 00:47:03,380
+فعلا بيحسبها
+
+616
+00:47:06,050 --> 00:47:13,470
+كل wire يجب أن يتأثر بقوة مغناطيسية، بسبب وجودها في
+
+617
+00:47:13,470 --> 00:47:18,470
+مجال مغناطيسي الـ wire الآخر الـ wire الآخر الـ wire الآخر الـ wire
+
+618
+00:47:18,470 --> 00:47:21,690
+الآخر الـ wire الآخر الـ wire الآخر الآخر الآخر الآخر
+
+619
+00:47:21,690 --> 00:47:21,990
+الآخر الآخر الآخر الآخر الآخر الآخر الآخر الآخر
+
+620
+00:47:21,990 --> 00:47:22,050
+الآخر الآخر الآخر الآخر الآخر الآخر الآخر الآخر
+
+621
+00:47:22,050 --> 00:47:22,790
+الآخر الآخر الآخر الآخر الآخر الآخر الآخر الآخر
+
+622
+00:47:22,790 --> 00:47:24,510
+الآخر الآخر الآخر الآخر الآخر الآخر الآخر الآخر
+
+623
+00:47:24,510 --> 00:47:24,570
+الآخر الآخر الآخر الآخر الآخر الآخر الآخر الآخر
+
+624
+00:47:24,570 --> 00:47:32,930
+الآخر
+
+625
+00:47:32,970 --> 00:47:39,630
+من B2 صح ولا لأ بي جاية من B2 تمام we need to find
+
+626
+00:47:39,630 --> 00:47:44,070
+the magnetic field B2 represented by the wire 2 at
+
+627
+00:47:44,070 --> 00:47:48,650
+the site of wire 1 مين يقول لي اتجاه المجال
+
+628
+00:47:48,650 --> 00:47:51,910
+المغناطيسي تبع التحتاني عند النقطة الفوقانية
+
+629
+00:47:55,940 --> 00:48:00,780
+تعملش هيك و أنت مش مركز بايدك تحط صبع هي طلعت غلط
+
+630
+00:48:00,780 --> 00:48:11,480
+هيك ما ضبطتش معك كيف .. للخارج طيب اتجاه المجال
+
+631
+00:48:11,480 --> 00:48:18,780
+تبع I1 and موضع I2 cross تمام يقول لي for a long
+
+632
+00:48:18,780 --> 00:48:21,600
+where we had from example ده اللي هدي أنا طلعت أنا
+
+633
+00:48:21,600 --> 00:48:28,180
+وياك خلّي اكتشفتها هي قيمتها القوة اليسارية تخبرنا
+
+634
+00:48:28,180 --> 00:48:32,900
+أن الاتجاه لـ P2 هو خارج الـ Beige فهي تجاه الـ
+
+635
+00:48:32,900 --> 00:48:36,700
+P2، صح يا بابيك ولا لأ؟ هي تجاه الـ P2، خارج الـ
+
+636
+00:48:36,700 --> 00:48:41,180
+Beige، Dot طب يجب أن نقول القوة عادة القوة، إيش
+
+637
+00:48:41,180 --> 00:48:48,880
+بتقول قوة؟ F بتساوي I الـ cross الـ P بتساوي I الـ
+
+638
+00:48:48,880 --> 00:48:50,180
+كيف اتجاهها؟
+
+639
+00:48:53,770 --> 00:48:58,550
+أنا بجيب F على واحد اللي معاكم صح ولا لأ اتجاه الـ
+
+640
+00:48:58,550 --> 00:49:08,850
+L مش باتجاه التيار إذا حاطب حالك بـ طيب
+
+641
+00:49:08,850 --> 00:49:17,030
+كده اتجاهها إيه I cross الـ K سالب G إذا القوة كيف
+
+642
+00:49:17,030 --> 00:49:27,280
+بتكون لأسفل لأسفل هي F واحد تتنافر ولا تنجذب؟ تنجذب
+
+643
+00:49:27,280 --> 00:49:33,940
+تنجذب تمام القوة قدامك لأسفل يعني بتجذب على السلك
+
+644
+00:49:33,940 --> 00:49:38,960
+التاني يعني تنجذب عشان هم مع بعض X واحد من
+
+645
+00:49:38,960 --> 00:49:44,140
+التيارات بتتنافر X واحد بتتنافر بيقول the force
+
+646
+00:49:44,140 --> 00:49:50,630
+acting on where one is طلعتها هي طلعت ناقص J I قصر
+
+647
+00:49:50,630 --> 00:49:55,330
+K بقى J يعني لأسفل بقول that if the direction of
+
+648
+00:49:55,330 --> 00:49:59,170
+the force F is directed toward wire 2 that if the
+
+649
+00:49:59,170 --> 00:50:03,030
+force between the two wires is attractive طبعا
+
+650
+00:50:03,030 --> 00:50:05,810
+المعلومة معرفة it is easy to show that if the
+
+651
+00:50:05,810 --> 00:50:08,990
+two currents are in opposite directions the force
+
+652
+00:50:08,990 --> 00:50:15,490
+will be repulsive generally speaking the
+
+653
+00:50:15,490 --> 00:50:18,670
+wires attract each other
+
+654
+00:50:27,660 --> 00:50:32,480
+والعكس صحيح هذه المعلومة اللي أخذناها وبرضه احنا 
+
+655
+00:50:32,480 --> 00:50:36,220
+هذه المعلومة اللي بنحطها بنطبقش عليها أسلاف إن أنا 
+
+656
+00:50:36,220 --> 00:50:38,640
+بدي أجيب force بدي أجيبها زي ما جيبتها المرة
+
+657
+00:50:38,640 --> 00:50:42,120
+الماضية إن أنا بدي أعمل directions و أجيب P و أطلعها 
+
+658
+00:50:42,120 --> 00:50:45,940
+بـ I ولا نقص I جيه ولا نقص جيه بدي أستخدمها بس هذه
+
+659
+00:50:45,940 --> 00:50:49,320
+المعلومة طلعت هيك الله سهل عليها ما فيش عندي أي
+
+660
+00:50:49,320 --> 00:50:51,660
+مشكلة إن تكون موجودة
+
+661
+00:50:54,860 --> 00:51:00,300
+مثال بيقول لي find the magnetic force exerted on the
+
+662
+00:51:00,300 --> 00:51:03,480
+other side of the rectangular loop shown بيقول لي
+
+663
+00:51:03,480 --> 00:51:09,380
+هذه عندك سلك أخضر بيحمل تيار I واحد والـ loop
+
+664
+00:51:09,380 --> 00:51:17,160
+بتحمل تيار I اثنين سؤالي يا شباب الـ loop مغلقة
+
+665
+00:51:17,160 --> 00:51:22,500
+ولا مش مغلقة طيب بيديش الفرصة على الـ loop في كل الـ
+
+666
+00:51:22,500 --> 00:51:24,160
+loop ليش؟
+
+667
+00:51:30,130 --> 00:51:33,850
+مش هو .. هو؟ لأ أنا مجال مش من الظهر، بالله يا
+
+668
+00:51:33,850 --> 00:51:36,830
+سيدي اسمه يا مين اللي بيجوي على خطوط المجال و يدخل
+
+669
+00:51:36,830 --> 00:51:43,670
+يسوي خارجها؟ بشغل ع فرقسة مجاهد؟ أنت بتاعته؟ اه ده
+
+670
+00:51:43,670 --> 00:51:45,930
+اللي بيبقى بيصيحي وراك، من مين جاه؟ اه ده .. ده ..
+
+671
+00:51:45,930 --> 00:51:46,570
+ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده
+
+672
+00:51:46,570 --> 00:51:46,950
+.. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده ..
+
+673
+00:51:46,950 --> 00:51:48,410
+ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده
+
+674
+00:51:48,410 --> 00:51:49,690
+.. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده ..
+
+675
+00:51:49,690 --> 00:51:54,550
+ده .. ده إن الـ force ع الـ closed loop بتكون صفر في
+
+676
+00:51:54,550 --> 00:51:56,310
+عندي شرطين اللي ليه بتكون closed و الـ magnetic
+
+677
+00:51:56,310 --> 00:52:01,950
+field يكون uniform هل الـ magnetic field هنا بيساوي
+
+678
+00:52:01,950 --> 00:52:14,050
+هنا؟ لأ
+
+679
+00:52:14,050 --> 00:52:15,690
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+680
+00:52:15,690 --> 00:52:16,370
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+681
+00:52:16,370 --> 00:52:20,250
+لأ لأ
+
+682
+00:52:20,250 --> 00:52:20,430
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+683
+00:52:20,430 --> 00:52:22,810
+لأ هنا ماشيين قيم مختلفة مش هال ماشيين قيم مختلفة يعني هنا
+
+684
+00:52:22,810 --> 00:52:27,350
+مقادير مختلفة تمام هو بيعمل طالب من إيش طالب يا شباب؟
+
+685
+00:52:27,350 --> 00:52:29,910
+يقول لي أوجد لي القوة بس هي اتكلم على الـ other side
+
+686
+00:52:29,910 --> 00:52:33,410
+عبدالعلي فوجاني بدي عبدالعلي فوجاني عادة بنشوف
+
+687
+00:52:33,410 --> 00:52:36,730
+احنا بنطلع كل واحد ضاع بس هذا هو مقبوض بقول لما
+
+688
+00:52:36,730 --> 00:52:44,050
+سيطر القوة بدي قوة بقول القوة بيتسمى F بيساوي I L
+
+689
+00:52:44,050 --> 00:52:49,600
+cross الـ B صح ولا لأ الـ B أعطاني أعلى بدي أجيبها من
+
+690
+00:52:49,600 --> 00:52:57,080
+وين هي الـ BJ من الخط الأخضر تفت تجاهها and there
+
+691
+00:52:57,080 --> 00:53:01,620
+cross كيش قيمتها قال لي قيمتها تاول أنا غششتكي
+
+692
+00:53:01,620 --> 00:53:12,300
+إيه الـ unit I على 2 by D أو R خليها هاي
+
+693
+00:53:12,300 --> 00:53:19,770
+دي حطها و اشتغل خليني أشوف solution the wire I1
+
+694
+00:53:19,770 --> 00:53:24,410
+creates a magnetic field given by .. هاي هقرص ..
+
+695
+00:53:24,410 --> 00:53:27,730
+هاي صار في عندي مجال مغناطيسي .. أطلع على إيش
+
+696
+00:53:27,730 --> 00:53:32,470
+هذه؟ على X طيب إيش عوض مع هالـ X هنا في القانون
+
+697
+00:53:32,470 --> 00:53:39,910
+هذا؟ إيش هحط X؟ إيه؟ هو أنا بدي القوة عوين يا شباب ..
+
+698
+00:53:39,910 --> 00:53:42,010
+بدي القوة على هذا الطلاب .. إيش هحط X؟
+
+699
+00:53:53,940 --> 00:53:58,940
+هو يعني إيه؟ خلّيني أسأل .. في مجال هنا؟ .. هل ..
+
+700
+00:53:58,940 --> 00:54:02,480
+هو المفروض اللي بيحط شربار .. هو المفروض اللي بيحط
+
+701
+00:54:02,480 --> 00:54:07,100
+مليون .. صح ولا لأ؟ لأنه .. وين خطوط أصبعك هنا في
+
+702
+00:54:07,100 --> 00:54:09,740
+المجال؟ إذا نقول أنك تحط أصبعك هنا ويكون في خط
+
+703
+00:54:09,740 --> 00:54:16,220
+مجال .. و هذه خطوط مجال يعني هي .. و طبعا .. هنا
+
+704
+00:54:16,220 --> 00:54:20,660
+مش بيبقى خط cross بعده إذا هذي أكتر بس أنا اخترت
+
+705
+00:54:20,660 --> 00:54:23,500
+أربعة بس عشان ما تزعلش أنت زعلان أنا أربعة المفروض
+
+706
+00:54:23,500 --> 00:54:28,060
+أحضر عشرة تمام؟ يعني هذا بس تمثيل يعني مش أكتر إنه
+
+707
+00:54:28,060 --> 00:54:34,840
+في عدة خطوط مجاني يا شباب إشعار محالي اتسهل إيه؟ إذا
+
+708
+00:54:34,840 --> 00:54:37,480
+عوّبتوا إيه معناته إن أنتم بس ماخدين عند هذا
+
+709
+00:54:37,480 --> 00:54:41,100
+الجزء وإذا خدتوا بيه مافيش إذا معناته إن أنت
+
+710
+00:54:41,100 --> 00:54:47,520
+تاخدوا إنصر لأيش؟ لأن بيما ثابت واحنا حطينا قانون
+
+711
+00:54:47,520 --> 00:54:53,960
+قبل ما نحط الـ شرطة قلنا القانون الأصلي F بتساوي I
+
+712
+00:54:53,960 --> 00:54:59,140
+تكامل D L cross بيما هي التكامل هي القانون الأصلي
+
+713
+00:55:00,440 --> 00:55:04,780
+هل جيت إذا مستقيم كنا تكامل الـ D L صح أو لا؟ إذا
+
+714
+00:55:04,780 --> 00:55:08,640
+مش مستقيم كنا تكامل الـ D L شرطا بس في الحقيقة كنا
+
+715
+00:55:08,640 --> 00:55:13,320
+نكون بشرط إنـه بيُكون Uniform هل هنا بيُكون Uniform؟
+
+716
+00:55:13,320 --> 00:55:15,620
+إذا ما كان بيبقى بتستخدم الخبز بلحمه وشحمه زي ما
+
+717
+00:55:15,620 --> 00:55:20,520
+هو بيستخدمه كذلك طب إيش يا أنا ده؟ D L إذا غصب عنك
+
+718
+00:55:20,520 --> 00:55:24,740
+بتتاخد D L غصب عنك بتتاخد D L الآن بهيزش تكامل
+
+719
+00:55:24,740 --> 00:55:26,060
+بالتالي
+
+720
+00:55:27,830 --> 00:55:31,670
+يقول لي as the magnetic field is not constant
+
+721
+00:55:31,670 --> 00:55:36,950
+along the top side of the loop we have to divide
+
+722
+00:55:36,950 --> 00:55:42,230
+it into small elements each of length dx هاي عنصري
+
+723
+00:55:42,230 --> 00:55:46,790
+هاي خدت عنصري صغير هاي dl طبعا أنا اعتبرها dx the
+
+724
+00:55:46,790 --> 00:55:54,170
+force on one of this element is أخد الـ df بالساعة
+
+725
+00:55:54,170 --> 00:56:03,280
+I2 اللي هي هذه في dx cross b1 وهي b1 أولت عنها هجيت
+
+726
+00:56:03,280 --> 00:56:08,060
+الـ direction I cross K طلعت J وهذا هي dx على x
+
+727
+00:56:08,060 --> 00:56:13,400
+تعرفوا تكملوها طبعا بيكون كامل الآن طلعت هيك إيش
+
+728
+00:56:13,400 --> 00:56:17,760
+تكامل dx على x طب حولت كامرة طلع عليها x بعت إيه
+
+729
+00:56:17,760 --> 00:56:22,560
+شايفين إيه الـ x بتعرفنا من بداية الضلع لإلهات
+
+730
+00:56:22,560 --> 00:56:31,040
+الضلع إيش تطلع من A لـ A ذات B طلعتها طلعت هي طب أنا
+
+731
+00:56:31,040 --> 00:56:34,740
+سؤال يال لو بدي أديه ع الصيد التحتاني إيش بتتوقع
+
+732
+00:56:34,740 --> 00:56:38,880
+يطلع بالظبط زيه بس بالسالب عشان كده كنا بضايق بعد
+
+733
+00:56:38,880 --> 00:56:45,420
+لكن لو بدي أديه بتقولها حد يا شباب في ضرورة أخد
+
+734
+00:56:45,420 --> 00:56:53,280
+عناصر لأن الـ B بحط مادري X إيش A و بشتغل على
+
+735
+00:56:53,280 --> 00:57:00,560
+القانون هذا يعني Demonstrate طب إيه هذا؟ بيضايحوا
+
+736
+00:57:00,560 --> 00:57:06,300
+بعض؟ لأ لأن واحد إيه واحد بيه إذا ما يساووش بعض هذا
+
+737
+00:57:06,300 --> 00:57:12,520
+بيه أقل من هذا لأن هذا أبعد وبالتالي بكر معاقصين
+
+738
+00:57:12,520 --> 00:57:15,520
+لكن ما يساووش بعض لأن بيروح من السفر لأن بيقول خمسة
+
+739
+00:57:15,520 --> 00:57:20,020
+ناقص ثلاثة سفر؟ لأ لكن خمسة ناقص خمسة سفر وبالتالي
+
+740
+00:57:20,020 --> 00:57:22,900
+تطلع عندي القيمة بهذا الشكل
+
+741
+00:57:27,070 --> 00:57:32,490
+هي جي جي ها عشان ما نداش نخلط بعيدين كثير يا شباب قاعد
+
+742
+00:57:32,490 --> 00:57:37,490
+يجي اليوم ناس يخدموها بص مرتين لما نيجي دي ميو اللي
+
+743
+00:57:37,490 --> 00:57:41,070
+هي مدينة باب الموميتر وهي سهلة ما نداش واحد يقول أي
+
+744
+00:57:41,070 --> 00:57:48,160
+قاعد ياخد فهي الميولا تنجد إلا في loops مظبوط ولا
+
+745
+00:57:48,160 --> 00:57:52,380
+لا مش بالساوى الـ I في E والـ E مساحة والمساحة
+
+746
+00:57:52,380 --> 00:57:55,760
+المنفعجة لكل loop و التالي هذا هي الـ loop أصابعك
+
+747
+00:57:55,760 --> 00:57:59,740
+الأربع لوب هي الـ loop كانت سهلة هأجد الـ cross
+
+748
+00:57:59,740 --> 00:58:02,020
+product تبقى الفوز تعملوها بالإيديان عشان ما 
+
+749
+00:58:02,020 --> 00:58:05,940
+تبتخموه تعملوا I و G و K وخلاص بطولة عنكم بس اتجاه
+
+750
+00:58:05,940 --> 00:58:11,260
+الـ B الاتجاه الـ B هاي تيارك هاي مدتك فيه بس بدك
+
+751
+00:58:11,260 --> 00:58:13,800
+تكون في عندك معارض وأنت تلف ما تلفش من المكان
+
+752
+00:58:13,800 --> 00:58:16,700
+يعني إن هاي هادي بيه وهدوة راحين من المكان
+
+753
+00:58:16,700 --> 00:58:21,420
+ما تضربوش من المكان بدك تحط النقطة وبالظبط تضلك
+
+754
+00:58:21,420 --> 00:58:27,040
+لافف لما تصل النقطة تمام؟ ما تخليش أصابعك تدوك على
+
+755
+00:58:27,040 --> 00:58:30,080
+أي مكان يكون عشوائي تمام؟ 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..392144df7ce910142c27ee8bfe60d4cdd144d897
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/mxPySv70GBQ_raw.srt
@@ -0,0 +1,3048 @@
+1
+00:00:09,740 --> 00:00:16,760
+الشبتر التاني في المغناطيسية بعنوان sources of
+
+2
+00:00:16,760 --> 00:00:20,760
+magnetic field مصادر المجال المغناطيسي
+
+3
+00:00:30,240 --> 00:00:34,140
+هذا الاصل في ال chapter اللى جابله الشباب كان لما
+
+4
+00:00:34,140 --> 00:00:38,620
+اديك بيه اتكيها نعطى ولا مرة ياللي احس بشدة المجال
+
+5
+00:00:38,620 --> 00:00:42,410
+في هذا ال chapter شغلتنا نحس بشدة المجالأذا
+
+6
+00:00:42,410 --> 00:00:45,110
+sources of magnetic field بمعنى آخر بدي أحسب
+
+7
+00:00:45,110 --> 00:00:48,910
+المجال المغناطيسي من مصادر رئيسية ما هي التيار هذه
+
+8
+00:00:48,910 --> 00:00:54,350
+ال problems اللي احنا مطلوب ان نحلها ونبدأ ببيوت و
+
+9
+00:00:54,350 --> 00:00:59,010
+صفارت law قانون بيوت و صفارت بيوت و صفارت اسمين
+
+10
+00:00:59,010 --> 00:01:06,290
+اسم عالمين خلينا نبدأ بالمجال الكهربائي و نذكر مع
+
+11
+00:01:06,290 --> 00:01:09,270
+بعض المجال الكهربائي قانون عرفينه المجال الكهربائي
+
+12
+00:01:09,270 --> 00:01:16,950
+شبابلما أخدنا اشتقنا قانون ايه بتسوي cake U على R
+
+13
+00:01:16,950 --> 00:01:22,110
+تربية صحيح او لا؟ هذا قانون ايه اش كنا نسميه؟ كلهم
+
+14
+00:01:22,110 --> 00:01:25,830
+هو نفسه كلهم في كلمة قانون حسبنا شدة المجال
+
+15
+00:01:25,830 --> 00:01:31,210
+الكهربائي منهGauss اذا كان فيه انا قانونين عشان
+
+16
+00:01:31,210 --> 00:01:35,450
+نحسب شدة المجال الكهربائي هذا قانون كله واستخدمناه
+
+17
+00:01:35,450 --> 00:01:38,390
+حتى لما كان عندي continuous charge distribution
+
+18
+00:01:38,390 --> 00:01:43,530
+جسّلنا عناصر واتعاملنا معه المجال المغناطيسي ايضا
+
+19
+00:01:43,530 --> 00:01:47,970
+هناك فيه قانونين لحساب شدة المجال المغناطيسي قانون
+
+20
+00:01:47,970 --> 00:01:52,750
+ينظر قانون كله اسمه بيوتسا دارت وفي قانون ينظر
+
+21
+00:01:52,750 --> 00:01:57,920
+قانون Gauss اسمه Amperslandقانون الانبير اول نبدأ
+
+22
+00:01:57,920 --> 00:02:02,440
+بالقانون اللى بنظر قانون كلوم لما نجرى نطلع قانون
+
+23
+00:02:02,440 --> 00:02:06,040
+كلوم لما اشتقوا كلوم ايش جاء جاء شدة المجال بتنسب
+
+24
+00:02:06,040 --> 00:02:09,420
+تناسبة طردية مع مقدار الشحنة ولا لأ كلما زادت
+
+25
+00:02:09,420 --> 00:02:13,140
+الشحنة كلما زاد المجال وعكسيا مع مربع المسافة اللى
+
+26
+00:02:13,140 --> 00:02:20,090
+بينهمطيب ليش مع Q؟ لأن مصدر المجال الكعباء Q زادت
+
+27
+00:02:20,090 --> 00:02:25,930
+Q زاد المجال، الآن مصدر المجال المناطيس Q متحركة و
+
+28
+00:02:25,930 --> 00:02:30,010
+الـSub يبقى كدا بI، اذا انا متوقع كل ما يزيد I،
+
+29
+00:02:30,010 --> 00:02:34,790
+ايش يصير في المجال؟ يزيد، هذا الـSilic، فيه تيار،
+
+30
+00:02:34,790 --> 00:02:39,550
+ما زال فيه تيار، هنا فيه مجاللما يكون الطيار عشر
+
+31
+00:02:39,550 --> 00:02:42,810
+امبير غير لما يكون خمس امبير لما يكون عشر امبير
+
+32
+00:02:42,810 --> 00:02:47,390
+اقوى طيب ابعد عن السلك بضمن المجال زى ما هو اذا
+
+33
+00:02:47,390 --> 00:02:51,170
+المفروض يقل ولا لأ اذا كل ما زادت المسافة بين
+
+34
+00:02:51,170 --> 00:02:55,940
+السلك والنقطة بدي يكون فيهمقصاد في المجال إذا في
+
+35
+00:02:55,940 --> 00:03:00,500
+تناسب عكسي زي هذا في تناسب عكسي بين المسافة
+
+36
+00:03:00,500 --> 00:03:05,040
+والمجال بيجينا عاد عمر جديد بيقول هذا سلك لو جيب
+
+37
+00:03:05,040 --> 00:03:09,160
+السلك أطول زي بعد بقوله لأ السلك الأطول مجاله أكتر
+
+38
+00:03:09,160 --> 00:03:13,880
+إذا معناته بدي أدخل أيش كمان طول السلك فراح هدول
+
+39
+00:03:13,880 --> 00:03:18,180
+إلى علمين عملوا عدة تجارب وطلعوا نتائج التالية
+
+40
+00:03:18,180 --> 00:03:18,960
+بيقول
+
+41
+00:03:21,270 --> 00:03:26,970
+كما ذكرت من قبل في الشطر الماضي مصدر مصدر مصدر
+
+42
+00:03:26,970 --> 00:03:31,350
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+43
+00:03:31,350 --> 00:03:32,850
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+44
+00:03:32,850 --> 00:03:33,410
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+45
+00:03:33,410 --> 00:03:33,430
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+46
+00:03:33,430 --> 00:03:45,370
+مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر مصدر
+
+47
+00:03:45,370 --> 00:03:46,950
+م
+
+48
+00:03:52,380 --> 00:03:57,220
+إيه يعني؟ كل ما أزيد I المجال زاد كل ما أبعد و
+
+49
+00:03:57,220 --> 00:04:02,020
+أقرب بتغير المجال طيب هذه أبعد و أقرب مسافة كيف
+
+50
+00:04:02,020 --> 00:04:04,900
+أتعامل مع المسافة؟ هل بتقدروا تجيبولي المسافة بين
+
+51
+00:04:04,900 --> 00:04:09,080
+النقطة والسلك؟ بين النقطة والسلك؟ هل يرسمها أنا
+
+52
+00:04:09,080 --> 00:04:13,180
+هذه مسافة بين النقطة والسلك؟ أنا بينقل أقعد بين
+
+53
+00:04:13,180 --> 00:04:16,080
+النقطة النقطة على السلك إذا مانفعش أاخد بين النقطة
+
+54
+00:04:16,080 --> 00:04:19,540
+والسلك لإنه عدت مسافات فيه إذا مانفعش إلا تاخد
+
+55
+00:04:19,540 --> 00:04:26,100
+عنصر عنصرتمام؟ لازم تاخد عنصر عنصر لإن هيسلك هيسلك
+
+56
+00:04:26,100 --> 00:04:28,680
+في تيار طب بدي انا اشتدي في المجال عنده نقطة هادي
+
+57
+00:04:28,680 --> 00:04:33,020
+كيف اخد المسافة اخد المسافة هادي ولا هادي ولا هادي
+
+58
+00:04:33,020 --> 00:04:37,540
+ولا هادي ولا هادي اذا كده كتحل المشكلة يقول ياخد
+
+59
+00:04:37,540 --> 00:04:44,520
+عنصر عنصر فصار بس لجزء صغير دي ال تعطى من أولاقة
+
+60
+00:04:44,520 --> 00:04:49,860
+التالية هذا شباب key
+
+61
+00:04:51,900 --> 00:04:56,320
+تبعت المجنتك ثابت التناسب بتساوي تناسبا ترضيا مع
+
+62
+00:04:56,320 --> 00:05:01,520
+التيار تناسبا ترضيا مع طويل السلك وعكسيا مع مربع
+
+63
+00:05:01,520 --> 00:05:06,220
+المسافة هنا يمكن نحط R unit vector عشان ايه كيف
+
+64
+00:05:06,220 --> 00:05:10,320
+اتجاهه لا طالع من الشحنةلأ رايح عشنا وبالتالي
+
+65
+00:05:10,320 --> 00:05:14,020
+بيكون دايما مع R ولا لأ فحطينا هنا R unit vector
+
+66
+00:05:14,020 --> 00:05:17,920
+هانا بيه شباب اللي هو عايز مع التيار و اللي هو
+
+67
+00:05:17,920 --> 00:05:21,680
+الوضع هو بR عمودي على التنين فحطه cross product
+
+68
+00:05:21,680 --> 00:05:27,500
+بين L وR cross product ال vector اتجاهي بتجاهي
+
+69
+00:05:27,500 --> 00:05:32,140
+التيار اه هي مولا انصر مولا مختار اخدها و بتطلع
+
+70
+00:05:32,140 --> 00:05:36,760
+معايا طب هادي هادي ايش بالساوي شباب
+
+71
+00:05:41,990 --> 00:05:46,730
+زاكرينها؟ مظبوط ولا لأ؟ هناك ايش بيساوي؟ اربع باى
+
+72
+00:05:46,730 --> 00:05:51,430
+و اربع باى بقى من اي نوت ايش حطوا؟ ميو نوت طب اي
+
+73
+00:05:51,430 --> 00:05:52,470
+نوت ايش تعريفها؟
+
+74
+00:05:54,950 --> 00:05:59,330
+the permittivity of a free space هذي و بيسموها ال
+
+75
+00:05:59,330 --> 00:06:02,210
+electric permittivity هذي بيسموها ال magnetic
+
+76
+00:06:02,210 --> 00:06:06,950
+permittivity او ال permeability نفس المصطرح اللي
+
+77
+00:06:06,950 --> 00:06:11,150
+هو النفاذية او السماحية بالعربي هذي بيسميها ثابت
+
+78
+00:06:11,150 --> 00:06:15,210
+النفاذية القهربية هذي بالعربي ثابت النفاذية
+
+79
+00:06:15,210 --> 00:06:19,990
+المغناطسية مش اكترأول نبدأ where R is the distance
+
+80
+00:06:19,990 --> 00:06:22,970
+between the element DL and the point B وضعها في
+
+81
+00:06:22,970 --> 00:06:25,650
+الرسمة and the unit vector directly from the
+
+82
+00:06:25,650 --> 00:06:29,590
+element to the point برضوها the direction of DL is
+
+83
+00:06:29,590 --> 00:06:31,950
+the direction of the current معلومة بحوار بعرفها
+
+84
+00:06:33,470 --> 00:06:37,050
+بقول الـ constant ميو نوت مسمى برميابيليتي
+
+85
+00:06:37,050 --> 00:06:40,210
+constant طبعا permittivity و permeability في
+
+86
+00:06:40,210 --> 00:06:46,530
+الخموس نفس المعنى سماح او نفاذ سماحية او نفاذية بس
+
+87
+00:06:46,530 --> 00:06:49,130
+محاولوا يغيروا عشان ماصلش فيه خربطة هي ثابت
+
+88
+00:06:49,130 --> 00:06:51,950
+النفاذية المياناطسية هي اللي بيميزها و هي ثابت
+
+89
+00:06:51,950 --> 00:06:55,650
+النفاذية الكهربية طبعا زي ما عملنا هنا ميو نوت
+
+90
+00:06:55,650 --> 00:06:59,800
+تعني فراغ زي ابسلونوت تعني فراغ لو الوسطبطل فراغ
+
+91
+00:06:59,800 --> 00:07:03,580
+بتحط ميو زي إبسلون و بتضربها فى ثابت زى كعبة إذا
+
+92
+00:07:03,580 --> 00:07:06,620
+كنتوا ذاكرينها فى كعبة برضه للمعناط السياسية مانا
+
+93
+00:07:06,620 --> 00:07:09,640
+أجهزها فيها الجد و ميو نوت إلى قيمة زى ما إبسلون
+
+94
+00:07:09,640 --> 00:07:11,560
+نوت إلى قيمة تمانية و خمسة و تمانية في المية في
+
+95
+00:07:11,560 --> 00:07:14,120
+عشر و عشر سالة و اتماشى هذا إلى قيمة أربعة باية في
+
+96
+00:07:14,120 --> 00:07:19,360
+عشر و عشر سالة تسعة تسلا متر سوية و سبعة على أمبير
+
+97
+00:07:19,360 --> 00:07:24,020
+هذا قانون باستخدام انصدار تمام هذه أعطاك ال ب
+
+98
+00:07:24,020 --> 00:07:29,780
+بسلعونصر كذا كده ب كلها ده كده كامةطبعا بيجي تكامل
+
+99
+00:07:29,780 --> 00:07:34,080
+انت بتجي مع بيز ال بي vector ولا ال scalar ال بي
+
+100
+00:07:34,080 --> 00:07:39,780
+ال بي vector ال بي vector لما تكامل بتنطبح ال
+
+101
+00:07:39,780 --> 00:07:44,400
+directions بيقول ال total magnetic field due to
+
+102
+00:07:44,400 --> 00:07:49,200
+the entire wire is هذا هو بصيه بتطلع ثلاثك برا وهو
+
+103
+00:07:49,200 --> 00:07:52,580
+القانون اللي بتستخدمه بي بيسوا ميونات I على أربعة
+
+104
+00:07:52,580 --> 00:07:57,420
+بي تكامل دي L cross ال R unit vector على R التربية
+
+105
+00:07:58,240 --> 00:08:00,140
+الشباب قاعد unit vector هذه اللي فوق جديش
+
+106
+00:08:00,140 --> 00:08:06,970
+magnitude تبعها لأنها unit vector تمامبقول it is
+
+107
+00:08:06,970 --> 00:08:10,310
+important to note that the integrant in the last
+
+108
+00:08:10,310 --> 00:08:14,150
+equation is a vector quantity and so it must be
+
+109
+00:08:14,150 --> 00:08:19,310
+handed accordingly وحنا نعرف تكامل ال vector بده
+
+110
+00:08:19,310 --> 00:08:22,030
+عناية لأنه مرات تكامل ال vector بطلع zero يعني زي
+
+111
+00:08:22,030 --> 00:08:25,570
+ما عرفنا تكامل ال DL بطلعش L مرات بطلع L شرط و
+
+112
+00:08:25,570 --> 00:08:29,550
+مرات بطلع Zero لأنه التحليل بضيع الشغلات
+
+113
+00:08:33,490 --> 00:08:38,030
+من العراق اللى فوق ممكن بى النقطة معينة يكون سفر
+
+114
+00:08:38,030 --> 00:08:42,510
+ولا لا وقتش بى بيكون سفر فى العراق اللى فوق من
+
+115
+00:08:42,510 --> 00:08:48,090
+زاوية ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+116
+00:08:48,090 --> 00:08:48,130
+ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+117
+00:08:48,130 --> 00:08:48,130
+ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+118
+00:08:48,130 --> 00:08:48,210
+ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن ممكن
+
+119
+00:08:48,210 --> 00:08:48,590
+ممكن ممكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن
+
+120
+00:08:48,590 --> 00:08:48,590
+مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن
+
+121
+00:08:48,590 --> 00:08:48,590
+مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن
+
+122
+00:08:48,590 --> 00:08:53,130
+مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكن مكنلما
+
+123
+00:08:53,130 --> 00:08:59,690
+الزاوية تكون 0 او 180 حلو اذا لما تكون L و R مع
+
+124
+00:08:59,690 --> 00:09:03,390
+بعض او ضد بعض مافيش مجال بقول يا ده واكتشن بيحصل
+
+125
+00:09:03,390 --> 00:09:06,710
+اذا كانت النقطة على محور السلك النقطة على المحور
+
+126
+00:09:06,710 --> 00:09:09,150
+مش بتروح على السلك يعني انا انا عندي السلك هذا
+
+127
+00:09:09,150 --> 00:09:15,510
+يبقوني هاي النقطة هذي بيه بقول اه وينها هاي Rوين
+
+128
+00:09:15,510 --> 00:09:20,550
+L؟ هايها هاي L كدهش الزاوية بينهم؟ 180 عند النقطة
+
+129
+00:09:20,550 --> 00:09:25,150
+هذه وين R؟ بقولهم هاي R طب وين L؟ هايها إذا إيش؟
+
+130
+00:09:25,150 --> 00:09:30,130
+Zero إذا لما تكون النقطة على نفس المحور بتكون بي
+
+131
+00:09:30,130 --> 00:09:34,290
+Zero ليش؟ لأنه بتكون الزاوية Zero أو مية و تمانين
+
+132
+00:09:34,290 --> 00:09:38,910
+since theta equal to zero the magnetic field at a
+
+133
+00:09:38,910 --> 00:09:42,290
+point along the axis of the wire is always zero
+
+134
+00:09:43,120 --> 00:09:47,300
+مازال نقطع المحور لما تشتغل و تشمل و تبدأ تشتغل
+
+135
+00:09:47,300 --> 00:09:51,400
+هتلاقي ازاى و يعطى تجزير و قطعا طيب نرجع لقعد و
+
+136
+00:09:51,400 --> 00:09:56,000
+قرر كيف كنا نجيب اتجاه ايه يا شباب اتجاه ايه كيف
+
+137
+00:09:56,000 --> 00:09:56,980
+نجيب اتجاه ايه كيف نجيب اتجاه اتجاه اتجاه اتجاه
+
+138
+00:09:56,980 --> 00:10:01,940
+اتجاه اتجاه اتجاه
+
+139
+00:10:01,940 --> 00:10:05,460
+اتجاه
+
+140
+00:10:05,460 --> 00:10:08,140
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+141
+00:10:08,140 --> 00:10:08,460
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+142
+00:10:08,460 --> 00:10:09,720
+اتجاه اتجاه اتجاه اتجاه اتجاه
+
+143
+00:10:11,920 --> 00:10:14,580
+cross product يعني انا خلّيني اجيب كمان مرة هاي
+
+144
+00:10:14,580 --> 00:10:24,700
+سنك هاي R هاي L و هاي نقطة و هاي R نختارد انا
+
+145
+00:10:24,700 --> 00:10:28,480
+بدّي الان P حسب القانون بيكون عمودية اهدى و اهدى
+
+146
+00:10:28,480 --> 00:10:32,940
+مظبوط ولا لأ دي L cross ال R يعني لازم يكون ال
+
+147
+00:10:32,940 --> 00:10:36,980
+direction عمودية على ال L و عمودية على ال R ال L
+
+148
+00:10:36,980 --> 00:10:42,670
+كيف اتجاههاالـ I والـ R ايش العمودي على الـ I والـ
+
+149
+00:10:42,670 --> 00:10:46,090
+J؟ الـ K اذا الـ B هنا غصب العنو بيديجي ال
+
+150
+00:10:46,090 --> 00:10:48,870
+direction التالت لان ال cross product احنا متفقين
+
+151
+00:10:48,870 --> 00:10:53,610
+دائما بيعطي ال direction التالت بيقول لي كيه بدي
+
+152
+00:10:53,610 --> 00:10:58,310
+اجيب هال direction؟ بيقول لي ال direction of B is
+
+153
+00:10:58,310 --> 00:11:02,690
+always perpendicular to both L and R هذه الشغله
+
+154
+00:11:02,690 --> 00:11:05,310
+أخدتها من أيش؟ من صفات ال cross product
+
+155
+00:11:09,980 --> 00:11:15,160
+معناه بكافة E على C عمودي على E على B هرجيت DL
+
+156
+00:11:15,160 --> 00:11:19,400
+cross ال R إذا نتجاه المجال المغناطيسي هذا بيكون
+
+157
+00:11:19,400 --> 00:11:23,820
+عمودي على ال L و على ال R طب كيف بيعملها؟ that is
+
+158
+00:11:23,820 --> 00:11:27,120
+the field lines of the magnetic field produced by
+
+159
+00:11:27,120 --> 00:11:32,880
+a current element are concentric circles بيعمل
+
+160
+00:11:32,880 --> 00:11:36,560
+circles around the element يعني كيف؟ بيقول ده
+
+161
+00:11:36,560 --> 00:11:41,940
+Siliconهذه تيارة عند النقطة هذه بقول هذه R وهذه L
+
+162
+00:11:41,940 --> 00:11:46,280
+إذا ماقعته عمودي بيكون هك نفترض طب لو كانت النقطة
+
+163
+00:11:46,280 --> 00:11:53,880
+هنا فهي R وهي L مظبوطة او لا بيكون هك طبعا إذا مرة
+
+164
+00:11:53,880 --> 00:11:56,660
+بيكون هك و مرة بيكون هك و مرة بيكون هك و مرة بيكون
+
+165
+00:11:56,660 --> 00:12:01,000
+هك طب في هنا بقول بيكون هك إذا ماقعته عمل دويرة
+
+166
+00:12:01,000 --> 00:12:06,670
+عمل دويرة إذا المجال المغناطيسي هيك عاملأصابعي هما
+
+167
+00:12:06,670 --> 00:12:10,250
+تجاه المجال .. أصابعي هما تجاه المجال طبعا لما
+
+168
+00:12:10,250 --> 00:12:13,530
+يكون فيه circle شباب ال duration كيف يصير؟ بيكون
+
+169
+00:12:13,530 --> 00:12:17,410
+دائما مماس .. مماس طبعا و المماس علاقته مع نص
+
+170
+00:12:17,410 --> 00:12:21,850
+الخطر بتعرفوها إيش هي؟ عمودية .. عمودية فطبعا نيجي
+
+171
+00:12:21,850 --> 00:12:25,110
+نفتلع غيره، بقول إيه الشواء اللي بيعمل circles
+
+172
+00:12:25,110 --> 00:12:29,350
+حوالين سلك؟ بقول ها دي الشغل هاي السلك أصابعي
+
+173
+00:12:29,350 --> 00:12:32,140
+الأربعة بيعملوا circles حواليه ولا لأ؟أحنا اتفقنا
+
+174
+00:12:32,140 --> 00:12:34,940
+ال E ليش بيعملوها؟ بيعملوها لأنه في البداية بيكونش
+
+175
+00:12:34,940 --> 00:12:38,800
+9 طالب مدرك ال I و ال J و ال K قالوا يعملوا هيك و
+
+176
+00:12:38,800 --> 00:12:43,580
+ال X و Y و Z طب إيش هذا؟ بتعرفوا الاستوانة انتوا؟
+
+177
+00:12:43,580 --> 00:12:46,140
+الاستوانة two dimensions ولا three dimensions؟
+
+178
+00:12:46,140 --> 00:12:50,180
+three dimensions قالوا هي قاعدة الاستوانة وهي
+
+179
+00:12:50,180 --> 00:12:55,540
+ارتفاع الاستوانةبالتالي طبعا احنا قدامنا نسميها
+
+180
+00:12:55,540 --> 00:12:58,980
+هذه الـCylindrical Coordinates أو المقاورة
+
+181
+00:12:58,980 --> 00:13:03,820
+الاستوانية فبالتالي بيقول جايبا اصابعك اصاب هامك
+
+182
+00:13:03,820 --> 00:13:07,800
+بيكون عمودي او قاعدة تحت الاستوانة وهي قاعدة
+
+183
+00:13:07,800 --> 00:13:10,800
+الاستوانة لما تلوف ما هي الاستوانة قاعدتها دائرية
+
+184
+00:13:10,800 --> 00:13:15,920
+هنا ايش بيقولي بيقولي مازال انت بتكون عمودي على
+
+185
+00:13:15,920 --> 00:13:22,760
+التيار وبيكون هامفي كل الأحوال هادى هتكون هى R
+
+186
+00:13:22,760 --> 00:13:27,340
+وبالتالي أصابعك هيكون هم لما انتموا بيعملوا
+
+187
+00:13:27,340 --> 00:13:37,480
+التلاتة direction تلعب هيك X Y ZX Y Z هذي R وهذه I
+
+188
+00:13:37,480 --> 00:13:42,240
+اللي هي L is a high B فبالتالي شباب هتم يركون ده
+
+189
+00:13:42,240 --> 00:13:46,700
+مقعه تبعك ايش هتفوه بيقول حط إبهامك مع التيار لف
+
+190
+00:13:46,700 --> 00:13:53,200
+أصابعك الأربعة وين بيشيره هو اتجاه ال Bهو اتجاه
+
+191
+00:13:53,200 --> 00:13:56,340
+الـ B هذه القاعدة أهم قاعدة في القاعدة اليدي
+
+192
+00:13:56,340 --> 00:13:59,620
+اليمنى لأن حكاية ال direction تبع ال force انت
+
+193
+00:13:59,620 --> 00:14:02,460
+شوفت استعادنا عنها انه I cross الجيب تديني K وخلاص
+
+194
+00:14:02,460 --> 00:14:07,620
+لما كنا نحط Q و لما كنا نحط I و بتاعة ال µ سهلة ال
+
+195
+00:14:07,620 --> 00:14:10,500
+µ مجرد ان تكون out of the page او into the page
+
+196
+00:14:10,500 --> 00:14:13,740
+ومجرد شغل سهلة أهم حاجة في القاعدة اليدي اليمنى
+
+197
+00:14:13,740 --> 00:14:19,370
+كيبقى حد اتجاه المجال المغناطيفهو يقول لي ان
+
+198
+00:14:19,370 --> 00:14:24,010
+المجال المغناطيسي بيعمل دوائر متحدة المركز مركزها
+
+199
+00:14:24,010 --> 00:14:30,300
+التيارالتجارة ممنوع من حركتك الصحيحة الصحيحة
+
+200
+00:14:30,300 --> 00:14:33,020
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+201
+00:14:33,020 --> 00:14:35,460
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+202
+00:14:35,460 --> 00:14:37,240
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+203
+00:14:37,240 --> 00:14:40,540
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+204
+00:14:40,540 --> 00:14:42,200
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+205
+00:14:42,200 --> 00:14:45,300
+الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة الصحيحة
+
+206
+00:14:45,300 --> 00:14:56,080
+الصحيحة الصحيحة الصحيحة الصحيح
+
+207
+00:14:57,820 --> 00:15:00,980
+حاجة الإيد هادي اللي قصارى بالأربعة بيعملوا دوّال
+
+208
+00:15:00,980 --> 00:15:03,660
+هادي ولا لأ؟ حاجة تجاه المجال الميوماطيسي الشباب
+
+209
+00:15:03,660 --> 00:15:07,520
+طبعا هنا مشكلة المجال الميوماطيسي ميثابت بيلف
+
+210
+00:15:07,520 --> 00:15:12,880
+وبالتالي عند نقطة كيف بيدي أجيبه؟ مماس بيقول الـ
+
+211
+00:15:12,880 --> 00:15:16,180
+magnetic field lines make concentric circles
+
+212
+00:15:16,180 --> 00:15:20,740
+around the wire such that the direction of P at a
+
+213
+00:15:20,740 --> 00:15:23,640
+point is tangent to these circles at that point
+
+214
+00:15:24,730 --> 00:15:28,850
+عشان كده بنقول تلعب هيعملت هيك وهي أصابع الأربعة
+
+215
+00:15:28,850 --> 00:15:33,250
+هذه المجال هيك بيعمل بالتالي عند النقطة هذه هيك
+
+216
+00:15:33,250 --> 00:15:35,810
+وعند النقطة هذه هيك وعند النقطة هذه هيك وعند
+
+217
+00:15:35,810 --> 00:15:36,770
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه
+
+218
+00:15:36,770 --> 00:15:36,850
+هيك وعند النقطة هذه هيك وعند النقطة هذه هيك وعند
+
+219
+00:15:36,850 --> 00:15:36,950
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه
+
+220
+00:15:36,950 --> 00:15:36,950
+هيك وعند النقطة هذه هيك وعند النقطة هذه هيك وعند
+
+221
+00:15:36,950 --> 00:15:37,330
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقطة هذه
+
+222
+00:15:37,330 --> 00:15:41,830
+هيك وعند النقطة هذه هيك وعند النقطة هذه هيك وعند
+
+223
+00:15:41,830 --> 00:15:53,890
+النقطة هذه هيك وعند النقطة هذه هيك وعند النقط
+
+224
+00:15:56,460 --> 00:15:59,900
+طبعا هو بيقول cash اودي لتجاه المجال اللي مابيقولك
+
+225
+00:15:59,900 --> 00:16:04,880
+عنده نقطة تمامة لو بدى عنده نقطة هادى مش هيك بيكون
+
+226
+00:16:04,880 --> 00:16:09,980
+شوفوا انتوا هذا الأزراج عمودي ولا مش عمودي على أنص
+
+227
+00:16:09,980 --> 00:16:18,360
+القطر عمودي طب هنا بتكون .. بتكون هيك ولا لأ صحيح
+
+228
+00:16:18,360 --> 00:16:22,480
+عنده نقطة هادى صحيح
+
+229
+00:16:22,480 --> 00:16:27,610
+عنده نقطة هادىبدي يكون هيك طب عنده نقطة هادى شباب
+
+230
+00:16:27,610 --> 00:16:32,830
+بدي يكون عمودي دى بالكم يعني مرات الواحد بيستخدم
+
+231
+00:16:32,830 --> 00:16:36,250
+حدثه بيقولك لأ الفكرة هتطلع علي فوق و لا هتطلع علي
+
+232
+00:16:36,250 --> 00:16:40,170
+امين لما تكون النقطة هادى بدي انت بيه بتكون هيك
+
+233
+00:16:40,170 --> 00:16:45,310
+ايش اللى حددها المماس بالظبط نص القطر لازم تكون
+
+234
+00:16:45,310 --> 00:16:52,680
+عمودية على نص القطردائما اذا دائما هتعلم انا انه
+
+235
+00:16:52,680 --> 00:16:55,600
+لما بيجي في شغلات معقدة شوية بيبقى ارسم دوائر شباب
+
+236
+00:16:55,600 --> 00:17:00,740
+وعمل مماس بتبين معايا في اسئلة تزلني ارسم الدوائر
+
+237
+00:17:00,740 --> 00:17:10,570
+حسب طبيعة السؤال حلم مثالالمجال المغناطيسي بتنصب
+
+238
+00:17:10,570 --> 00:17:13,890
+طردية مع طول السلك مع التياره عكسية مع مربع
+
+239
+00:17:13,890 --> 00:17:16,690
+المسافة حاجة الشغل عالفان اعملها بينفعش اجيب
+
+240
+00:17:16,690 --> 00:17:21,150
+المجال ضربة واحدة لازم اول اجيب المجال لعنصر و
+
+241
+00:17:21,150 --> 00:17:25,570
+بعدين اكامل كوني بتعامل مع vectors التكامل بدأ
+
+242
+00:17:25,570 --> 00:17:28,970
+انتمهن و لازم الدارشن يكون متساوي اذا الدارشن مش
+
+243
+00:17:28,970 --> 00:17:35,100
+متساوي شباب مضطر احلل و بنشوف كيفبعد كده ال
+
+244
+00:17:35,100 --> 00:17:39,440
+direction تبقى بيه بيكون باستخدام اليدي اليمنى
+
+245
+00:17:39,440 --> 00:17:44,200
+إبهامك مع التيار أصابعك الأربعة هم بيدو تجاه
+
+246
+00:17:44,200 --> 00:17:48,660
+المجال بمعنى آخر المجال عبارة عن concentric
+
+247
+00:17:48,660 --> 00:17:52,620
+circles around the wire بيقول يشوف هذا المثال
+
+248
+00:17:52,620 --> 00:17:56,520
+calculate the magnetic field due to a straight
+
+249
+00:17:56,520 --> 00:18:01,950
+wire of length 2L carrying a current Iat a point
+
+250
+00:18:01,950 --> 00:18:06,350
+in its perpendicular bisector at a distance a from
+
+251
+00:18:06,350 --> 00:18:12,370
+the wire هاي السليك وهي طوله تنين L بده شدة المجال
+
+252
+00:18:12,370 --> 00:18:17,010
+الطيار تبعه الداني اتجاهه I I وين بده المجال؟
+
+253
+00:18:17,010 --> 00:18:20,030
+بيقولوا اللي بده المجال عند النقطة هذه هذه النقطة
+
+254
+00:18:20,030 --> 00:18:28,010
+على منتصف بالظبط is perpendicular bisector المعصف
+
+255
+00:18:28,010 --> 00:18:35,680
+للwire حلوبنحل بنفع عجيب بيه مرة واحدة؟ ايش بتاخد؟
+
+256
+00:18:35,680 --> 00:18:41,860
+بتاخد عنصر دائما في باقة الصدارة اول خطوة حدد
+
+257
+00:18:41,860 --> 00:18:45,000
+عنصرك طب بتاخدني عنصر عليها ترسليك و انا بتاخده
+
+258
+00:18:45,000 --> 00:18:49,440
+عنصر بس ماتخدش عن نقطة فاتة هاي عنصر ايه؟ الأحمر
+
+259
+00:18:49,440 --> 00:18:51,840
+اللي شتت شايفينه طبعا هو المفروض يكون صغير بس واحد
+
+260
+00:18:51,840 --> 00:18:56,040
+بيكبره شوية عشان يبين هذا الأحمر جزء من الأخضر
+
+261
+00:18:56,040 --> 00:19:02,560
+شبابنبدأ بالاكتشاف من أحد الأجزاء من الحرارة لديها
+
+262
+00:19:02,560 --> 00:19:06,060
+طول دي إيه اللي بتساوي DX عشان الصينية بتخليها DX
+
+263
+00:19:06,060 --> 00:19:11,600
+طيب هاللي بتجيب المسافة بين النقطة والعنصر الأحمر
+
+264
+00:19:13,390 --> 00:19:17,290
+أه اللي هي هذه مظبوط و فيه ثغوص بيجيب هكس تربية زي
+
+265
+00:19:17,290 --> 00:19:21,910
+بإيه تربية صحيح فهذه زينا فيتا بتعتبرها لإن أنا في
+
+266
+00:19:21,910 --> 00:19:27,330
+عند cost of product بين DL و بين R DL و R يعني أنا
+
+267
+00:19:27,330 --> 00:19:30,150
+بدي الزيبا بين R و L هي الزيبا بين R و L عشان اللي
+
+268
+00:19:30,150 --> 00:19:32,230
+cost of product بدي أجيبه و أحط محله صينة فيتا عدي
+
+269
+00:19:32,230 --> 00:19:38,500
+تمام شباب؟ تمام تقولي الآن هاي قانونكDb بسعر
+
+270
+00:19:38,500 --> 00:19:45,680
+ميوناط I على 4π DL cross ال R هذه هي الكلة DL
+
+271
+00:19:45,680 --> 00:19:53,240
+cross ال R unit vector A cross ال B equal مجموعه A
+
+272
+00:19:53,240 --> 00:19:57,620
+في مجموعه B في صيني الزاوية اللي بينهم ايش مجموعه
+
+273
+00:19:57,620 --> 00:20:03,300
+DL؟ DX ايش مجموعه هذا؟ 1 في صيني الزاوية اللي
+
+274
+00:20:03,300 --> 00:20:08,340
+بينهم هذا هوخلّصت كامل جالي جالي بيقول ماهي كامل
+
+275
+00:20:08,340 --> 00:20:12,400
+جالي بيطلع على ال directions انا اخدت answer من
+
+276
+00:20:12,400 --> 00:20:17,000
+يقولي كيف اتجاه المجال بالـD اليوم ده Dot Dot طب
+
+277
+00:20:17,000 --> 00:20:23,700
+غير عنصرك برضه Dot اذا جميع العناصر لهم نفس اتجاه
+
+278
+00:20:23,700 --> 00:20:27,780
+ال B اذا انا قاعد مع بيزا من نفس الاتجاه فى مشكلة
+
+279
+00:20:27,780 --> 00:20:32,450
+كامل فش مشكلة كاملكل العناصر يا شباب كده عملناها
+
+280
+00:20:32,450 --> 00:20:37,770
+حطوا بهمكم مع التيار وهي أصابعك الأربعة بيكونوا
+
+281
+00:20:37,770 --> 00:20:44,310
+متوجهين عليك تمام يا شباب؟يقول الـ direction of
+
+282
+00:20:44,310 --> 00:20:48,250
+the magnetic field by the right hand rule is out
+
+283
+00:20:48,250 --> 00:20:55,210
+of the page for all elements of the wire, thus in
+
+284
+00:20:55,210 --> 00:20:58,270
+integrating over the wire we can adjust their
+
+285
+00:20:58,270 --> 00:20:58,930
+magnitudes
+
+286
+00:21:04,090 --> 00:21:09,430
+طلعنا فهوابتنا ميو نوت I على أربعة باعي شباب R هذه
+
+287
+00:21:09,430 --> 00:21:13,310
+ثابتة لكل العناصر؟ لأ لإن بتعتمد على X و X متغيرة
+
+288
+00:21:13,310 --> 00:21:17,510
+و الزاوية ثابتة لكل العناصر؟ برضه متغيرة جل كامل
+
+289
+00:21:17,510 --> 00:21:23,580
+مش هاطر كامل ليه هذا؟هو متغير فيه شبك اكس وR وثيتا
+
+290
+00:21:23,580 --> 00:21:27,880
+اكس حللها فيثاورس اللي هي اكس وR طب وش عين الثيتا
+
+291
+00:21:27,880 --> 00:21:31,680
+مانجاش احلها مش بيساوي A على R اذا كلها بيحولها
+
+292
+00:21:31,680 --> 00:21:37,760
+لمتغير واحد اللي هو X بقول from the geometry of
+
+293
+00:21:37,760 --> 00:21:40,560
+the figure we obtain R تربيه بيساوي X تربيه زي A
+
+294
+00:21:40,560 --> 00:21:44,040
+تربيه فيثاورس وصيني الزاوية بيساوي مقابلة على وطر
+
+295
+00:21:44,040 --> 00:21:49,880
+A على R ايش تغير طلعتها؟حدود التكامل، ماهو المتغير
+
+296
+00:21:49,880 --> 00:21:54,660
+الوحيد اللي بقى الحداد؟ X، من بداية السلك لنهاية
+
+297
+00:21:54,660 --> 00:22:00,400
+السلك، كيف X بتكون؟ ببدأ من الـ0، عند أي نقطة، X
+
+298
+00:22:00,400 --> 00:22:04,640
+بتساوي سفرعند اي نقطة X بالثلاثة صفر X بصوم عندكم
+
+299
+00:22:04,640 --> 00:22:09,940
+في الرسم يا جماعة هل تبقى هذا بداية السلك؟ لأ وانا
+
+300
+00:22:09,940 --> 00:22:13,600
+من قول حدوث التكامل من بداية السلك لنهاية السلك من
+
+301
+00:22:13,600 --> 00:22:16,080
+بداية الغرفة لنهاية الغرفة مينفعش أبدأ من هات و
+
+302
+00:22:16,080 --> 00:22:19,600
+أقول كمل لأ وليه مينفع أقول أقعد و أرجع و أقول
+
+303
+00:22:19,600 --> 00:22:22,940
+ساقطت و كان الجامعة تشغلها مرتين مظبطاني لأ إذا
+
+304
+00:22:22,940 --> 00:22:29,230
+دايما بديك تبدأ من وين من هات إيش X بتكون؟ هناأنا
+
+305
+00:22:29,230 --> 00:22:33,930
+اكتشفك يفهم الفرق يعني سالب L و هناك L فبالتالي من
+
+306
+00:22:33,930 --> 00:22:38,250
+سالب L ل L اه
+
+307
+00:22:38,250 --> 00:22:43,590
+اذا هذه سألة تانية عشان كده بدنا عشان احنا نحفظ
+
+308
+00:22:43,590 --> 00:22:47,270
+خوارط مرات بتظبط و مرات بتظبطش لأ هم من فقص L ل L
+
+309
+00:22:47,270 --> 00:22:52,030
+فحد بيقولهم انت ايه بنقعد و احر بعدين تمام فبدنا
+
+310
+00:22:52,030 --> 00:22:54,810
+عشان نعمل تغيير يكون له شروط و مانطبقش الشرط و
+
+311
+00:22:54,810 --> 00:23:01,810
+نلعب فيها تمامإذا حدود التكامل واضحة الشباب، إذا
+
+312
+00:23:01,810 --> 00:23:06,170
+بقول من ناقص L لL، بلحج ورا المتغير تبعي، طبعا لما
+
+313
+00:23:06,170 --> 00:23:10,710
+يكون متغير فيتا، زي مرات كانوا احنا محل في
+
+314
+00:23:10,710 --> 00:23:15,070
+الامتحان و بصلّع، مرات واحد يقولك دي Q، دي Q، ايه
+
+315
+00:23:15,070 --> 00:23:19,050
+جودة التكامل؟ دي Q، أخذ، أحط من Zero لBi على
+
+316
+00:23:19,050 --> 00:23:22,250
+اتنين، بنفع؟ يعني بنفع التكامل يكون هات شباب؟
+
+317
+00:23:26,900 --> 00:23:30,900
+أول كيوز بتكون باية اتنين وقتش انا اتمنس انها باية
+
+318
+00:23:30,900 --> 00:23:33,960
+اتنين لما يكون فيه ثيتا .. ثيتا اللي بتتغير ..
+
+319
+00:23:33,960 --> 00:23:36,160
+تشوف الواحد مرات يقوم بعمل شغل مش عارفش اللي
+
+320
+00:23:36,160 --> 00:23:39,260
+بيسويه .. بيكون مش عارفش اللي بيسويه .. حافظ شغلات
+
+321
+00:23:39,260 --> 00:23:41,900
+موجودة .. انه فيه باية اتنين وفيه باي ومش عارف ايه
+
+322
+00:23:41,900 --> 00:23:44,760
+.. اكلاش اللي جوا هنا .. مالاش جوا .. بجربوا بعض
+
+323
+00:23:44,760 --> 00:23:48,260
+.. بجربوش بعض .. هو حر .. لإن انا بجمع كيوز .. هلي
+
+324
+00:23:48,260 --> 00:23:50,440
+من سفر اللي كامت الكيوز؟ اه .. بس من سفر اللي باية
+
+325
+00:23:50,440 --> 00:23:57,410
+اتنين .. مالطبعا و لا لما اقول DX او DR بتبقى صفر
+
+326
+00:23:57,410 --> 00:24:01,230
+لا بقى اتنين بتبقى اتواع طبعا حاجة لما تكون دي
+
+327
+00:24:01,230 --> 00:24:04,810
+فيتا بس و مرات بيكون متغير دي فيتا ساعتها بتعامل
+
+328
+00:24:04,810 --> 00:24:08,090
+معاه على هذا الأساس يعني لو كان دي فيتا بنفع أقول
+
+329
+00:24:08,090 --> 00:24:13,640
+منخس LLفعش؟ بقى نقول عمره θ بتكون L ونقص M فهي
+
+330
+00:24:13,640 --> 00:24:17,760
+بتكون زوايا فهنا أنا عندي X اللي بكمل عليه بقول X
+
+331
+00:24:17,760 --> 00:24:21,220
+إيه بتساوي مع بداتي السلكي مايديش X ومع نهايتي
+
+332
+00:24:21,220 --> 00:24:26,200
+السلكي مايديش X هذا هو حدود التكامل هي قيم المتاحة
+
+333
+00:24:26,200 --> 00:24:29,880
+الممكنة ل X هي حدود التكامل لأن في الآخر أنا مش
+
+334
+00:24:29,880 --> 00:24:34,240
+متعود عن X إذا هذه قيم ل X طبعا
+
+335
+00:24:35,800 --> 00:24:38,400
+كلكم بتاخدوا ال Calculus بيه قاعدين صح؟ بتعرفوا
+
+336
+00:24:38,400 --> 00:24:45,520
+يجيبوها ده؟ X إيش بتساوي؟ 10 X بيساوي A 10 لما
+
+337
+00:24:45,520 --> 00:24:48,660
+أربحها بيصير A تربيع 10 تربيع بتاخدوا ال A فارع
+
+338
+00:24:48,660 --> 00:24:51,760
+بيصير واحد زي ال 10 إيش؟ واحد زي ال 10 تربيع سك
+
+339
+00:24:51,760 --> 00:24:55,720
+تربيع السك تربيع تحت الجنزة بيصير سك هنا بيصير سك
+
+340
+00:24:55,720 --> 00:24:59,940
+تكعيب و السك تكعيب بقدر أتعامل معاه و أجيبه طبعا
+
+341
+00:24:59,940 --> 00:25:03,220
+هذا في ال calculus احنا لو طلعت عجب دي تكتب ال
+
+342
+00:25:03,220 --> 00:25:06,840
+calculus هتلاقي التكامل هذا موجودع الجلدة طبعا ليش
+
+343
+00:25:06,840 --> 00:25:09,180
+بقعدتوا ع الجلدة كمان مرة عشان تعرفوا ان في بعض
+
+344
+00:25:09,180 --> 00:25:14,560
+أمور كتيرة بدناش نحفظها بيصير common برجع و بقول
+
+345
+00:25:14,560 --> 00:25:18,100
+دي اما بضرب المثل زي يدور الدرب بنزهر جولاتي
+
+346
+00:25:18,100 --> 00:25:22,340
+الابتدائية عليه عشان يحفظوه بعد كده الكل بينسى
+
+347
+00:25:22,340 --> 00:25:26,080
+وبصير الكلب كله تلت نية في تلاتة بيقولك اطلعك
+
+348
+00:25:26,080 --> 00:25:30,960
+الكلتة كده انت تطلع ده جهة ستةبيخاف الواحد يعتمد
+
+349
+00:25:30,960 --> 00:25:32,580
+على حاله، بيقولك في ذلك الكتاب اللي موجود، اتنين
+
+350
+00:25:32,580 --> 00:25:35,160
+في تلاتة بيصي الواحد يعتمد على اهل اكتر من اعتماده
+
+351
+00:25:35,160 --> 00:25:37,900
+على حاله، و هذه الشغلات كتيرة موجودة زي ما انا
+
+352
+00:25:37,900 --> 00:25:40,640
+حكيت، انا هذه الشغلات أخدتها في السنة التامانين،
+
+353
+00:25:40,640 --> 00:25:44,620
+لما كنت سنة أولى جامعة، و بعدين نسيت، اه خلاص بطل
+
+354
+00:25:44,620 --> 00:25:47,460
+الواحد اتمل عليه، ليش؟ لإن ما صارت ديش تكملات، لا
+
+355
+00:25:47,460 --> 00:25:50,080
+جول سك و لا جول كان، بفتح الكتاب و دي بالنتيجة، و
+
+356
+00:25:50,080 --> 00:25:54,740
+خلاص، بيبطل الواحد كتيرمحتاجة لأنه بس اتعلمناها
+
+357
+00:25:54,740 --> 00:25:57,540
+اقولنا ان في و الله a triumetric substitution ان
+
+358
+00:25:57,540 --> 00:26:01,860
+عوض و بنجيبها و في technique معروف و من بسطها و من
+
+359
+00:26:01,860 --> 00:26:06,000
+طلعها و بالاخر هذه بتصير منجولة في نظام الامتحان
+
+360
+00:26:06,000 --> 00:26:11,260
+بيصير شبهها لكن هذه مشهورة عشان انتوا طعظة
+
+361
+00:26:11,260 --> 00:26:14,060
+بتاخدوها جاعدين انتوا تاخدوها طعظة كيف تتعاملوا
+
+362
+00:26:14,060 --> 00:26:16,500
+معاها عشان لاحد بذكركم فيها مش أكتر
+
+363
+00:26:21,520 --> 00:26:24,600
+وعوّدت وكملت وعوّدت طبعا إنتوا لما تطلع سك و
+
+364
+00:26:24,600 --> 00:26:27,440
+cosine في الآخر هتحولوا السك ل cosine هترجعوها
+
+365
+00:26:27,440 --> 00:26:32,060
+بتعرفوا بتعملوا مثال لها عشان ترجعوها X عشان
+
+366
+00:26:32,060 --> 00:26:36,420
+تعرفوا تعودوا في الآخرطلعت هيك شباب هذه هي النتيجة
+
+367
+00:26:36,420 --> 00:26:39,680
+طبعا هذه مثال بدي شباب أحفظ نتيجته بس بدي أعرف كيف
+
+368
+00:26:39,680 --> 00:26:43,560
+اتعامل معاه و كيف النتيجة عملتها بس بيقوللي بدي
+
+369
+00:26:43,560 --> 00:26:47,520
+أعمل شوية test عليه بيقوللي هدا ال silicon 2L لو
+
+370
+00:26:47,520 --> 00:26:50,760
+كان طويل طويل كتير كيف تتبقى النتيجة بتتحسن
+
+371
+00:26:50,760 --> 00:26:53,500
+بيقوللي سهلة أخدت ال limit انا في ال calculus ايه
+
+372
+00:26:53,500 --> 00:26:57,420
+ولا لا لما يكون ال طويل كتير صارت هذه مليون دينار
+
+373
+00:26:57,420 --> 00:27:00,740
+لو هذه دينار بتكونيا دينار الله صحيح عليه الدينار
+
+374
+00:27:01,640 --> 00:27:04,060
+أيش صار هنا فيه؟ التربيع .. ايش جزء التربيع ليه
+
+375
+00:27:04,060 --> 00:27:10,410
+التربيع؟ راح تقيله اليهافبتنينها تنينها فتطلع
+
+376
+00:27:10,410 --> 00:27:13,110
+النتيجة الحلوة طبعا ليش حاجة نطلعها عادة مقولش
+
+377
+00:27:13,110 --> 00:27:18,370
+بنجيبها و بنصفطها if the wire is infinitely long
+
+378
+00:27:18,370 --> 00:27:22,990
+يعني L goes to مدى نهاية the term under the square
+
+379
+00:27:22,990 --> 00:27:27,010
+root هذا يعني in the last expression reduces
+
+380
+00:27:27,010 --> 00:27:32,270
+simply to L لأنه عادى راحت جزء تربيه L مع هنا
+
+381
+00:27:32,270 --> 00:27:35,730
+وبالتالي النتيجة هدا هي هذا ال circuit طويل جدا
+
+382
+00:27:35,730 --> 00:27:38,960
+برضه ممكنش تحفظهبير بسبب المنطقة اتنين باقية بس
+
+383
+00:27:38,960 --> 00:27:43,220
+انا بدي اياكم تذكروها انه جيبناها لانه قانون أمبير
+
+384
+00:27:43,220 --> 00:27:47,560
+بشبه قانون جاوس قانون جاوس لا ينطبق إلا على أشكال
+
+385
+00:27:47,560 --> 00:27:50,220
+معينة ذاكرين السلك الطويل في قانون جاوس إيش كان
+
+386
+00:27:50,220 --> 00:27:56,040
+شرطه يكون طويل جدا أمبير زيه بيقولك بينفعش ينطبق
+
+387
+00:27:56,040 --> 00:28:01,720
+على أي سلك بس السلك الطويلة جدا فحل عن طريق أمبير
+
+388
+00:28:02,960 --> 00:28:05,780
+لسلك طويل و هنطلع حاجة نتيجة كمان مرة عشان كده
+
+389
+00:28:05,780 --> 00:28:09,760
+حطيناها لان لسلك طويل جدا طبعا احنا حلناها و
+
+390
+00:28:09,760 --> 00:28:13,340
+تكملاته كمان و عملنا سبك و عملنا تان و غلبنا حانة
+
+391
+00:28:13,340 --> 00:28:17,360
+هناك أنبير بيطلحها بنص سطر الشخصية زي ما عمل gauss
+
+392
+00:28:17,360 --> 00:28:24,440
+لكن احنا الان مش وقته واحدة واحدة كمان مثالبقول يا
+
+393
+00:28:24,440 --> 00:28:29,320
+وير is built to form an arc of radius capital R
+
+394
+00:28:29,320 --> 00:28:34,780
+and central angle theta هاي السيليك الأخضر عملت
+
+395
+00:28:34,780 --> 00:28:41,100
+سيليك هيك شكله ومرارت فيه طيار هاي الطياري طبعا في
+
+396
+00:28:41,100 --> 00:28:46,540
+الجسم يكون هيك ماشي if the wire carries a current
+
+397
+00:28:46,540 --> 00:28:50,020
+I calculate the magnetic field at point O the
+
+398
+00:28:50,020 --> 00:28:55,200
+center of the earth وين بدهوا بدهم هنا؟كيف يتعامل
+
+399
+00:28:55,200 --> 00:29:00,020
+مع السلك الشباب؟ تنتين
+
+400
+00:29:00,020 --> 00:29:04,560
+مستقيمات و واحدة مجاوسة صح ولا لأ؟ نبدأ بالمستقيمة
+
+401
+00:29:04,560 --> 00:29:13,460
+جديش بتعطيني بيه للمستقيمة هذه؟ ليش؟ لأنه على نفس
+
+402
+00:29:13,460 --> 00:29:19,340
+المحورة لأن الزاوية إما سفر أو مائة و تمانين درجة
+
+403
+00:29:19,340 --> 00:29:24,920
+إذا هاي في جزئين بيطلعوش مجال solutionبيقول الـ
+
+404
+00:29:24,920 --> 00:29:29,940
+the wire consists of three parts two straight
+
+405
+00:29:29,940 --> 00:29:36,140
+portions and a curved one أمين طيب طلع ال straight
+
+406
+00:29:36,140 --> 00:29:40,020
+portions هذي الأزرق هو R ولا لأ مش بعد العنصر
+
+407
+00:29:40,020 --> 00:29:46,340
+تعتبر الأحمر هو العنصر الأحمر هو عنصري R المسافة
+
+408
+00:29:46,340 --> 00:29:48,940
+بين العنصر و النقطة الخط الأزرق
+
+409
+00:29:51,620 --> 00:29:57,360
+الخط الأحمر صح ولا لأ اروح هنا جديش الزاوية بين R
+
+410
+00:29:57,360 --> 00:30:04,680
+و L؟ Zero و هنا في الحالتين جديش B؟ Zero يعني اللي
+
+411
+00:30:04,680 --> 00:30:08,760
+مش حافظ الشغلة يطبقها يقوله انا ناسي ابدا يشمل و
+
+412
+00:30:08,760 --> 00:30:13,160
+يشتغل بس ماينساش انه صين سفر؟ سفر وصين 180؟ سفر
+
+413
+00:30:13,160 --> 00:30:18,860
+وضيعه في الآخر بيذكر انه قاعد و بضيعه طيبالان
+
+414
+00:30:18,860 --> 00:30:28,100
+بالنسبة للمقاومة الواضحة لدينا الـ L كيف اتجاه
+
+415
+00:30:28,100 --> 00:30:31,320
+ال L هذه المجوزة؟
+
+416
+00:30:36,020 --> 00:30:39,340
+لأن هو مظبوط هو هيك فبركات كون عند كل نقطة مختلفة
+
+417
+00:30:39,340 --> 00:30:42,780
+ال direction معناته اذا عن كل نقطة بتاخد مماس لما
+
+418
+00:30:42,780 --> 00:30:45,700
+تاخد عنصر المعناته متحددة النقطة عند هذه النقطة
+
+419
+00:30:45,700 --> 00:30:48,660
+هدا هي طبعا انا اعملك هيك عشان تكون عدلة ادم
+
+420
+00:30:48,660 --> 00:30:53,760
+اعملها بصورة مختلفة هاي DL جدشي الزيوة بين DL وR
+
+421
+00:30:53,760 --> 00:31:00,060
+90 لان مماس نص قطر هالR نص قطر ولا لأ طيب غير عنصر
+
+422
+00:31:00,060 --> 00:31:03,760
+R بتتغير ده نص قطر لان بتتغير ليا حضرة التكامل
+
+423
+00:31:03,760 --> 00:31:05,500
+عالدي من يجيب ال direction
+
+424
+00:31:09,160 --> 00:31:16,900
+cross cross الكل جابها cross cross ضلك لف أصابعك
+
+425
+00:31:16,900 --> 00:31:19,120
+لما يضربوها عنده النقطة شوف كده بدربو النقطة
+
+426
+00:31:19,120 --> 00:31:24,160
+بدربوها النقطة على اللوح صح ايه ده هيا بتعمل هيك و
+
+427
+00:31:24,160 --> 00:31:31,720
+دلك ماشي لما تصير أصابعك هيك بالظبط تم؟
+
+428
+00:31:31,720 --> 00:31:35,530
+طيب كل العناصر الناس القضية ولا لأ؟كل العراسة اللي
+
+429
+00:31:35,530 --> 00:31:42,410
+مجوثة كلها into the beigeبقولوا ايش تغير على ال DB
+
+430
+00:31:42,410 --> 00:31:47,550
+بيقولوا DB بيساوي من نقطة I DL كوص R unit vector
+
+431
+00:31:47,550 --> 00:31:53,610
+DL كوص واحد اللي هي DL في واحد في صين الزاوية على
+
+432
+00:31:53,610 --> 00:31:58,010
+R تربية هذه R بتحط محلها كبة ال R اه هي كبة ال R
+
+433
+00:31:58,010 --> 00:32:02,330
+بيقولوا Note that each element on the arc wire
+
+434
+00:32:02,330 --> 00:32:06,690
+gives a contribution DB which is directed into the
+
+435
+00:32:06,690 --> 00:32:10,850
+pageكلهم into the beige و ال sin θ ليش هيعتبرها
+
+436
+00:32:10,850 --> 00:32:20,210
+واحد؟ 90 تلاحق في جمهر مرة بديل R اسموها R capital
+
+437
+00:32:20,210 --> 00:32:24,810
+صح و طلعه عبر التكامل ايش تفرجه التكامل؟ DL ايش
+
+438
+00:32:24,810 --> 00:32:28,150
+تكمل ال DL؟ طول السنة كان السنة الجوز صح؟ طول
+
+439
+00:32:28,150 --> 00:32:31,730
+الجوز ايش تسيبه؟ بالزاوية R في الزاوية المحصورة
+
+440
+00:32:31,730 --> 00:32:38,880
+هذا Rθ ولا مش Rθ؟ هذا هيUsing the fact that the
+
+441
+00:32:38,880 --> 00:32:42,720
+length of the arc is L بتساوي R في θ, the result
+
+442
+00:32:42,720 --> 00:32:46,300
+reduces to هاي قانون، برضه مش قانون هو يعني، برضه
+
+443
+00:32:46,300 --> 00:32:51,160
+نتيجة، برضه نتيجة شباب طبعا لما تحلوا في هذا
+
+444
+00:32:51,160 --> 00:32:54,600
+الكتاب اكتفي، بيجيبكم أسئلة تطبيق مباشر على
+
+445
+00:32:54,600 --> 00:32:57,740
+القانون، يعني هو على اعتبار أنه القانون تعارفه و
+
+446
+00:32:57,740 --> 00:33:01,320
+بتبدأ تنقله من الكتاب، فبيجيب تطبيق مباشر، لو كانت
+
+447
+00:33:01,320 --> 00:33:04,280
+الزاوية تلاتين، إيش هحط هنا؟بقى على ستة ماتحطش
+
+448
+00:33:04,280 --> 00:33:07,220
+تلاتين مش تحطها تلاتين و تطلع الجواب فى برا يجي
+
+449
+00:33:07,220 --> 00:33:10,080
+الجواب مختلف يقولوا يا رب العين غلط لأ إذا حطتها
+
+450
+00:33:10,080 --> 00:33:13,340
+تلاتين ماتطلعش الجواب مش هتحط بقى على ستة ذاكرين
+
+451
+00:33:13,340 --> 00:33:20,080
+في الفيزيائية فقلنا لما نقول sine خمينا نقول فيتا
+
+452
+00:33:20,080 --> 00:33:25,700
+نفضلت هيك و نكامل او نفاضل ماش بيصير فيتا كوصين
+
+453
+00:33:25,700 --> 00:33:28,840
+فيتا تي صح ولا لأ حدث انت كده بيعملها و حدث انت
+
+454
+00:33:28,840 --> 00:33:33,120
+كده بيعملهاهذه فيتا بتكون بال radian هذه فيتا بال
+
+455
+00:33:33,120 --> 00:33:36,340
+degree لما تكون فيتا جوا الصين أو جوا القصين أو
+
+456
+00:33:36,340 --> 00:33:40,380
+جوا التان بحوقها degrees لكن لما تكون برا بعتبرها
+
+457
+00:33:40,380 --> 00:33:43,940
+بال radian تمام فهنا هذه برا فبالتالي هذه مانفعش
+
+458
+00:33:43,940 --> 00:33:46,920
+احطها تلاتين درجة او كسعين درجة باي ع اتنين مية و
+
+459
+00:33:46,920 --> 00:33:52,940
+تمانين درجة باي تمام طيب هذه لجوس طيب لو الجوس كبر
+
+460
+00:33:52,940 --> 00:33:57,720
+كله بيضاله جوس او بيضالش جوس ايش هحط محل فيتا لو
+
+461
+00:33:57,720 --> 00:34:03,370
+كان دائرة كاملةتنين باير اتنين باير و بقدر اجيبه
+
+462
+00:34:03,370 --> 00:34:10,070
+if the wire is a circular ring then the magnetic
+
+463
+00:34:10,070 --> 00:34:13,530
+field at its center is found from the last
+
+464
+00:34:13,530 --> 00:34:17,390
+equation by letting θ بالساوية تنين باير فتحقق
+
+465
+00:34:17,390 --> 00:34:22,970
+تنين باير و طلعت هيك هذا شدت المجال المغناطيسي عند
+
+466
+00:34:22,970 --> 00:34:28,030
+مركز دائرة عند مركز دائرة بده احفظه هذا بده احطه
+
+467
+00:34:29,480 --> 00:34:37,340
+الـ Decenter بتساوي new root I على اتنين R قد
+
+468
+00:34:37,340 --> 00:34:45,080
+هتجيب يعني هاي circle و هنا هو مرات كده بيجيب مرات
+
+469
+00:34:45,080 --> 00:34:48,960
+كده في المجال عاد و نقول هاي circle او جدلي بيه طب
+
+470
+00:34:48,960 --> 00:34:52,920
+عم تحس هذا القانون لا يحفظ كده تجيب جدلي بيه هجيب
+
+471
+00:34:52,920 --> 00:34:57,160
+.. ب .. ب .. بجسمها كام جطعة على هذا مافيش غير
+
+472
+00:34:57,160 --> 00:35:02,250
+واحدةطبعا بقول دي بيكتفير نفسه بتفير هيك بقول يا
+
+473
+00:35:02,250 --> 00:35:07,710
+نصري هي DL مظبوط ولا لأ؟ هي R هي نفس كابتن ال R
+
+474
+00:35:07,710 --> 00:35:14,910
+ولا لأ؟ اتوا بقول DB سوى Mu0 R DL cross R يوم
+
+475
+00:35:14,910 --> 00:35:18,130
+انفكتور على R تربية هي قانون هيك بدة بيه صدرتله
+
+476
+00:35:18,130 --> 00:35:26,840
+تمام بتساوي Mu0 I على كابتن ال R تربية DL DLفي
+
+477
+00:35:26,840 --> 00:35:31,720
+magnitude في صيني الزاوية كده الصيني الزاوية؟ كيف
+
+478
+00:35:31,720 --> 00:35:35,280
+بيحظروا الشباب؟ بعدين بقول انه في هذا كيف تجاه
+
+479
+00:35:35,280 --> 00:35:40,260
+التيار؟ تجاه .. تجاه المجال sorry .. تجاه المجال
+
+480
+00:35:40,260 --> 00:35:47,240
+كيف بيدعرفوه؟ خارج الكل يعرفوا انه خارج؟ شباب
+
+481
+00:35:47,240 --> 00:35:53,100
+هايوةبكون هيك طبعا بعد كده بيقول لكل العصر اللي
+
+482
+00:35:53,100 --> 00:35:56,460
+خارج مكانه ايش بتوجيه التكامل؟ تكامل ال DLL
+
+483
+00:35:56,460 --> 00:36:00,240
+استرجوص محيط اتنين بيقعد و حياتي بيبقى بتطلع نفس
+
+484
+00:36:00,240 --> 00:36:06,000
+النتيجة هذه في كل حوالي طيب كمان مثال حد المثال
+
+485
+00:36:06,000 --> 00:36:09,440
+بتعمل له نفس ال ring بيقول ليه ال ring طبعا طلعت
+
+486
+00:36:09,440 --> 00:36:12,330
+ال ring بس لمين هي دي ده نقطة وين؟هذه في الـ
+
+487
+00:36:12,330 --> 00:36:14,610
+Center النقطة اللي انا بديش احطها في الـ Center
+
+488
+00:36:14,610 --> 00:36:18,590
+لنشوف ايش بيصير معاه بقول ا consider a circular
+
+489
+00:36:18,590 --> 00:36:25,890
+loop يعني رنك of radius capital I ا ا راينج in the
+
+490
+00:36:25,890 --> 00:36:30,630
+YZ بلين if the loop carries a current I as shown
+
+491
+00:36:30,630 --> 00:36:34,370
+find the magnetic field at point P a distance Y
+
+492
+00:36:34,370 --> 00:36:37,810
+from the Center اذا مشحت ال Center هاي Loop
+
+493
+00:36:37,810 --> 00:36:42,590
+شايفينها؟بدوش بيه عند السنتار بدو بيه هناك شايفين
+
+494
+00:36:42,590 --> 00:36:45,610
+وين بدو بيه؟ وقتيش هذه النتيجة تطلع نفس النتيجة
+
+495
+00:36:45,610 --> 00:36:49,830
+هذه لما النقطة تصير في المركز يعني لما y تساوي صفر
+
+496
+00:36:49,830 --> 00:36:54,210
+صح ولا لأ؟ اذا y ساوي صفر مفروض نتيجة هذا المثال
+
+497
+00:36:54,210 --> 00:36:59,710
+وهذه تطلع نفسها تمام كمان مرة كان بيدحل قال لأخوه
+
+498
+00:36:59,710 --> 00:37:02,910
+لأنصر هاي الطيارة شايفينه الطيارة شباب بيداخد أنصر
+
+499
+00:37:02,910 --> 00:37:05,410
+بيداخد أنصر
+
+500
+00:37:08,970 --> 00:37:12,110
+العنصر دايما من السلك والسلك يالا حلقة يالا ناخد
+
+501
+00:37:12,110 --> 00:37:15,970
+عنصر شباب تنجن to the loop and therefore the angle
+
+502
+00:37:15,970 --> 00:37:19,290
+between the eye and eye is 90 هذه ما النجعة فيها
+
+503
+00:37:19,290 --> 00:37:26,290
+لو كنت تاخد عنصر هنا اتجاه التيار صحكشوف شبابها
+
+504
+00:37:26,290 --> 00:37:29,890
+هاي ال loop هيك الطيار بمشي هنا كيف بتكون ال loop
+
+505
+00:37:29,890 --> 00:37:35,970
+ايها طب هنا خارج هنا بتكون هيك طب انا فاهم ان انا
+
+506
+00:37:35,970 --> 00:37:38,710
+نصم ايه اللي انا نصم هيك عشان كده حكاية البرغي
+
+507
+00:37:38,710 --> 00:37:43,250
+المقدمة تواصل كتير بساعدونا ال loop انا عامله هيك
+
+508
+00:37:43,250 --> 00:37:47,550
+طب انا كالكتاب عامل ال loop والفوجوف شوية انا هيك
+
+509
+00:37:47,550 --> 00:37:53,990
+اعتقد هيك ال loop احلى تنفهم اكتر تمام بعد كده
+
+510
+00:37:53,990 --> 00:37:54,910
+يقول ايه اشتغل
+
+511
+00:37:58,410 --> 00:38:01,270
+عمودية على اللوحة مش عمودية على اللوح مش ايه
+
+512
+00:38:01,270 --> 00:38:05,410
+العمودية على اللوح داخل ولا خارج طب اه المسافة بين
+
+513
+00:38:05,410 --> 00:38:09,650
+العنصر و النقطة على اللوح في اللوح جديش الزاوية
+
+514
+00:38:09,650 --> 00:38:18,970
+بينهم تسعين درجة تمام لأن هذا شباب هذا
+
+515
+00:38:18,970 --> 00:38:23,850
+هيه و هذا هيه جديش الزاوية بينهم تسعين اذا صينا
+
+516
+00:38:23,850 --> 00:38:28,540
+تسعين واحد و هو ايه عشان اما تحط القانون الآنهي
+
+517
+00:38:28,540 --> 00:38:33,320
+ارها دي مش مشكلة بيقول لي دي بي بيصومني not id ال
+
+518
+00:38:33,320 --> 00:38:37,520
+sin فيتا على r تربيع هادي ال sin فيتا 97 درجة
+
+519
+00:38:37,520 --> 00:38:40,360
+فطلعت هيك هجيت r تربيع اللي هي هادي استخدام
+
+520
+00:38:40,360 --> 00:38:43,660
+القانون فيفا غوص r تربيع زاد y تربيع مافيش اي
+
+521
+00:38:43,660 --> 00:38:48,280
+مشكلة تمام بتجيب ال direction لأ كي بتجيب ال
+
+522
+00:38:48,280 --> 00:38:54,420
+direction يلا يجيبولي ال direction تبع بي احنا
+
+523
+00:38:54,420 --> 00:39:02,320
+خربطنا اعتمدنا على ايدناحطوا رأي افهمكم معين، مع
+
+524
+00:39:02,320 --> 00:39:09,840
+التيار، التيار اينه؟ كُس، هي التيار، مظبوط؟ كيف
+
+525
+00:39:09,840 --> 00:39:15,200
+يجب ان يكون؟ من يقول لي كيف؟ مش هي تجاه التيار؟
+
+526
+00:39:15,200 --> 00:39:20,900
+انا اكفلتكم منها دي، هي تجاه التيار شباب،
+
+527
+00:39:20,900 --> 00:39:24,780
+هي النقطة B، كيف اتجاهها؟
+
+528
+00:39:34,140 --> 00:39:35,080
+مش هيك بيكون؟
+
+529
+00:39:40,250 --> 00:39:45,070
+مش مش تقول الحكي هنا؟ بتكون مماس والمماس عمودي على
+
+530
+00:39:45,070 --> 00:39:48,210
+نص القطر؟ كيف نتعامل مع نص القطر يا شباب؟ نص القطر
+
+531
+00:39:48,210 --> 00:39:51,970
+هي المسافة بين السلك والنقطة، هيك يعملوا، مش هالنص
+
+532
+00:39:51,970 --> 00:39:55,850
+القطر؟ بين النقطة والسلك، لأن النقطة على الدائرة
+
+533
+00:39:55,850 --> 00:40:00,490
+والسلك هو مركزي الدائرة، تمام؟ إذن دائما نص قطركم
+
+534
+00:40:00,490 --> 00:40:03,430
+المسافة بين السلك والنقطة، بعدين لما تيجي ال
+
+535
+00:40:03,430 --> 00:40:06,990
+direction، ال temple هيكون عمودي، حاجة لو واحد
+
+536
+00:40:06,990 --> 00:40:11,720
+جالة فوق، طلعت هيكظلط .. لو حد عملها ايه .. برضه
+
+537
+00:40:11,720 --> 00:40:15,820
+غلط .. اذا بدنا نعمل ماهو .. وقت إيش هذه بتكون هيك
+
+538
+00:40:15,820 --> 00:40:19,000
+لما تكون النقطة هنا .. وقت إيش بتكون لأعلى لما
+
+539
+00:40:19,000 --> 00:40:22,580
+تكون النقطة هنا .. صح ولا لأ .. أما هنا طب أنا كده
+
+540
+00:40:22,580 --> 00:40:26,040
+بدي أعملها عشان أي حالة .. المشهور بيقوللي المجال
+
+541
+00:40:26,040 --> 00:40:31,200
+المغناطيسي عبارة عن دوائر مركزها إيش .. السلك ..
+
+542
+00:40:31,200 --> 00:40:34,980
+إذا روسم دائرة .. هاي دائرة .. هاي المجال
+
+543
+00:40:34,980 --> 00:40:38,770
+المغناطيسيهذه المجال اللى مانا ماتيصى هى انا بقدر
+
+544
+00:40:38,770 --> 00:40:41,750
+اجيب ما .. مافيش ممكن يخبط نص القطر بيانه ولا لا
+
+545
+00:40:41,750 --> 00:40:50,290
+مابينش نص القطر؟ HDB HDB واضحة شباب؟ طيب، غيره
+
+546
+00:40:50,290 --> 00:40:56,950
+عنصر طيب
+
+547
+00:40:56,950 --> 00:41:01,950
+خلّيني أغيره عنصر حلو، عنصر هذا شايفينه؟ هى بيكون
+
+548
+00:41:01,950 --> 00:41:07,340
+برا ولا مش برا؟ إذا مش بسرعة تيجيإذا مش نفس
+
+549
+00:41:07,340 --> 00:41:10,200
+الاتجاه نشي و أقعد يا جوه يا عبدالبارح عشان نلف
+
+550
+00:41:10,200 --> 00:41:13,340
+السلك طب كيف بيدعمل؟ قولي رسم دائرة، قولي مش حالك،
+
+551
+00:41:13,340 --> 00:41:18,540
+هاي رسم الدائرة حاجات الدائرة هيك بتعمل، مظبوط؟
+
+552
+00:41:18,540 --> 00:41:24,600
+إيه زي معناته هي؟ زي بعض هذه التلين الزرق؟ إيش
+
+553
+00:41:24,600 --> 00:41:31,200
+بضيع؟ بضيع السين، بضيع السين، طيب خلينا نرجع هنا
+
+554
+00:41:31,200 --> 00:41:31,360
+جوا
+
+555
+00:41:36,170 --> 00:41:40,470
+وحدة واحدة اقول التالي احنا اشتغل لو بدي اكامل جبل
+
+556
+00:41:40,470 --> 00:41:44,330
+ما اكامل بدي اعمل Tesla Direction هذا هو الشغل
+
+557
+00:41:44,330 --> 00:41:48,290
+اللي بشتغله اعمل ال DB هذي مش فيها مشكلة شباب يلا
+
+558
+00:41:48,290 --> 00:41:53,070
+كامل جالي قبل ما تكامل شوف ال Direction بقول ال
+
+559
+00:41:53,070 --> 00:41:57,750
+Direction هذا هو DBIt is clear that the direction
+
+560
+00:41:57,750 --> 00:42:02,190
+of P differs from one element to the other. And
+
+561
+00:42:02,190 --> 00:42:05,290
+from the symmetry above the y-axis, we conclude
+
+562
+00:42:05,290 --> 00:42:08,370
+that the x-components cancel and only the y
+
+563
+00:42:08,370 --> 00:42:09,670
+-components sum up.
+
+564
+00:42:26,440 --> 00:42:32,640
+الان اشتغلت طبعا عشان تجيب شباب الصينى بدك تكون
+
+565
+00:42:32,640 --> 00:42:37,200
+cosine صينى و cosine صعب الصينى روح تحط cosine
+
+566
+00:42:37,200 --> 00:42:41,280
+ثيتا و ثيتا هي بأيه تبعتك هي ثيتا طبعا ثيتا كيف
+
+567
+00:42:41,280 --> 00:42:47,640
+بدي اجيبها؟ ايش عورقة هادي مع هادي؟
+
+568
+00:42:47,640 --> 00:42:52,540
+متممة؟ مظبوط ولا لأ؟ ليش؟ لأن هذا نسقطر وهذا مماس
+
+569
+00:42:52,540 --> 00:42:55,460
+حلو؟ طب ايش عورقة هادي مع هادي؟
+
+570
+00:42:58,330 --> 00:43:02,710
+برضه متأممة إذا هذه وهذه بتأمم وبعد إذا هذه فيتا
+
+571
+00:43:02,710 --> 00:43:05,730
+صحيح؟
+
+572
+00:43:05,730 --> 00:43:10,470
+طب sign فيتا إيش بتساوي؟ كبتة العار عصم العار
+
+573
+00:43:10,470 --> 00:43:14,550
+مظبوط ولا ده؟ لإن أنا بديها على ال sign لإن أنا
+
+574
+00:43:14,550 --> 00:43:17,970
+بديها على ال D حطيت sign فيتا لإن هذه ال sign فيتا
+
+575
+00:43:17,970 --> 00:43:21,970
+عشان ال Y component ال Y component طبعا هيجيب تانة
+
+576
+00:43:21,970 --> 00:43:26,270
+هو هيعملها أنا مش ناسيبتصفيتها بيساوي كبتة ال R
+
+577
+00:43:26,270 --> 00:43:29,670
+على small r وكبتة ال small r طلعتها من في تغوص
+
+578
+00:43:29,670 --> 00:43:35,910
+طلعت بهذا الشكل برضه طلعت كل ثوابت مافيش تكامل ال
+
+579
+00:43:35,910 --> 00:43:40,090
+DL ايش بيساوي؟ و L ها دي طول الجثة الجثة ايش هي
+
+580
+00:43:40,090 --> 00:43:48,790
+عبارة عن ايه؟ بائرة محيط يعني اتنين by R تمى
+
+581
+00:43:48,790 --> 00:43:56,730
+جلي عوض طلعت هيكطب يشوف لو Y سوى 0 بيطلع هذا
+
+582
+00:43:56,730 --> 00:44:00,390
+القانون اللي بيطلع عشان نجي نجرب Y بيسوى 0 بيصير R
+
+583
+00:44:00,390 --> 00:44:04,630
+تربيه 3 ع 2 يعني R تكييب R تكييب مع R تربيه بيصير
+
+584
+00:44:04,630 --> 00:44:11,350
+هذه كلها R بيظبطوا إلى سواء الـ Mu not R هنا في
+
+585
+00:44:11,350 --> 00:44:15,250
+خطأ معاه هذه R ليست أصلا مش موجودة لأن هذا راحت
+
+586
+00:44:15,250 --> 00:44:18,510
+معاه هنا على 2 و هذه R
+
+587
+00:44:22,230 --> 00:44:28,530
+هي نفسها .. هي نفسها .. انا بقول ليه لاتبعوش قانون
+
+588
+00:44:28,530 --> 00:44:32,230
+.. sub قانون .. قال ليه sub .. لأ انا مش قانون
+
+589
+00:44:32,230 --> 00:44:36,150
+مركزي .. تمام .. جاي من بيوتانسا وارتلو .. يعني هو
+
+590
+00:44:36,150 --> 00:44:39,750
+قانون فرعي لكن هم الادموستنتج بالنسبالنا .. احنا
+
+591
+00:44:39,750 --> 00:44:42,970
+مش قانون .. فطلعت .. اظن ان انا معلق عليه هنا ..
+
+592
+00:44:42,970 --> 00:44:45,110
+حيث طبعا في خطأ مطبع يا شباب .. هذه ال bye مش
+
+593
+00:44:45,110 --> 00:44:49,650
+موجودة .. لان طلعت من هنا .. تمام ..not that the
+
+594
+00:44:49,650 --> 00:44:52,930
+magnetic field at its center is found from the
+
+595
+00:44:52,930 --> 00:44:56,350
+last formula by letting y equal to zero وطلعت
+
+596
+00:44:56,350 --> 00:45:01,810
+معايا mu not I على اتنين R زي ما أنا متوقع اذا
+
+597
+00:45:01,810 --> 00:45:11,770
+الان شباب اتفقنا ان في عندي قانون بيتصدرت لحل او
+
+598
+00:45:11,770 --> 00:45:18,140
+لإيجاد شدة المجال المغاطيسي عند نقطة ماقبل ما ندخل
+
+599
+00:45:18,140 --> 00:45:27,600
+على قانون أنبير قال لي في الكعبة هي شحنة هي Q عند
+
+600
+00:45:27,600 --> 00:45:33,420
+النقطة عادي P في E؟ في E ولا مافيش E؟ إيش E هنا
+
+601
+00:45:33,420 --> 00:45:39,940
+متساوي؟ و هي R طب حط هنا كمان شحنة Q شرطة
+
+602
+00:45:48,930 --> 00:45:53,750
+هنا نفس العملية بقول في عندك سلكين تتوقع بينهم قوة
+
+603
+00:45:53,750 --> 00:45:56,630
+ولا لا بقوله اه السلك بيولد مجال و التاني غصب عنه
+
+604
+00:45:56,630 --> 00:45:59,740
+يكون فيهمصبوط ولا لا؟ احنا في المشاركة في الماضي
+
+605
+00:45:59,740 --> 00:46:03,700
+قلنا اي سلك بيحمل تياغ موجود في مجال مخلص يبدو
+
+606
+00:46:03,700 --> 00:46:06,240
+يتحرك و لا يبدو يتحرك لما قلنا زي الفلان اللي
+
+607
+00:46:06,240 --> 00:46:09,800
+يتحرك و يحرك السلك اذا معناته لما يكون في عندي
+
+608
+00:46:09,800 --> 00:46:14,740
+سلكين سلك بيولد مجال وسلك بتأثر في المجال و بيتحرك
+
+609
+00:46:14,740 --> 00:46:21,000
+كيف نعملها؟يقول consider two long and straight
+
+610
+00:46:21,000 --> 00:46:24,500
+parallel wires separated by a distance a and
+
+611
+00:46:24,500 --> 00:46:30,500
+carrying currents I1 and I2 هجيت لجولة أي واحد
+
+612
+00:46:30,500 --> 00:46:36,400
+بحسب هذه القائدة بولد مجال مغناطيسي ولا لا؟هنا في
+
+613
+00:46:36,400 --> 00:46:39,020
+مجال المغناطيسي اللي جاي من هذه طب و هذا صار موجود
+
+614
+00:46:39,020 --> 00:46:43,220
+في مجال المغناطيسي و القانون التبعي بيقول F بيساوي
+
+615
+00:46:43,220 --> 00:46:48,800
+I L cross ال B هدان ال straight wires نيجي لعبة
+
+616
+00:46:48,800 --> 00:46:53,640
+السلك في طيار في طيار موجود في مجال المغناطيسي
+
+617
+00:46:53,640 --> 00:46:57,960
+موجود من جهة الارجل المجال اللي فوق اذا صار هذا
+
+618
+00:46:57,960 --> 00:47:02,000
+بيتأثر في هذا طب و هذا الموجود في التالت لكل فئرة
+
+619
+00:47:02,000 --> 00:47:03,380
+فعلا بيحسبها
+
+620
+00:47:06,050 --> 00:47:13,470
+كل وير يجب أن يتأثر بقوة مغناطية ، بسبب وجودها في
+
+621
+00:47:13,470 --> 00:47:18,470
+مجال المغناطية الاخر للوير الاخر للوير الاخر للوير
+
+622
+00:47:18,470 --> 00:47:21,690
+الاخر للوير الاخر للوير الاخر الاخر الاخر الاخر
+
+623
+00:47:21,690 --> 00:47:21,990
+الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر
+
+624
+00:47:21,990 --> 00:47:22,050
+الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر
+
+625
+00:47:22,050 --> 00:47:22,790
+الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر
+
+626
+00:47:22,790 --> 00:47:24,510
+الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر
+
+627
+00:47:24,510 --> 00:47:24,510
+الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر
+
+628
+00:47:24,510 --> 00:47:24,570
+الاخر الاخر الاخر الاخر الاخر الاخر الاخر الاخر
+
+629
+00:47:24,570 --> 00:47:32,930
+الاخ
+
+630
+00:47:32,970 --> 00:47:39,630
+من B2 صح ولا لأ بي جاية من B2 تمام we need to find
+
+631
+00:47:39,630 --> 00:47:44,070
+the magnetic field B2 represented by the wire 2 at
+
+632
+00:47:44,070 --> 00:47:48,650
+the site of wire 1 مين يقوللي اتجاه المجال
+
+633
+00:47:48,650 --> 00:47:51,910
+المغناطيسي تبع التحتاني عند النقطة الفجانية
+
+634
+00:47:55,940 --> 00:48:00,780
+تعملش هيك وانت مش مركز بيدك تحط صبيع هي طلعت غلط
+
+635
+00:48:00,780 --> 00:48:11,480
+هيك مازبطتش معاك كيف .. للخارج طيب اتجاه المجال
+
+636
+00:48:11,480 --> 00:48:18,780
+تبع I1 and موضع I2 cross تمام يقول لي for a long
+
+637
+00:48:18,780 --> 00:48:21,600
+where we had from example ده اللي هدي انا طلعت انا
+
+638
+00:48:21,600 --> 00:48:28,180
+وياك خلّي اكتشحتها هي قيمتهاالقوة اليسارية تخبرنا
+
+639
+00:48:28,180 --> 00:48:32,900
+أن الاتجاه لـ P2 هو خارج الـ Beige فهي تجاه الـ
+
+640
+00:48:32,900 --> 00:48:36,700
+P2، صح يا بابيك و لا لأ؟ هي تجاه الـ P2، خارج الـ
+
+641
+00:48:36,700 --> 00:48:41,180
+Beige، Dot طب يجب أن نقول القوة عادة القوة، إيش
+
+642
+00:48:41,180 --> 00:48:48,880
+بتقول قوة؟ F بتساوي I ال cross ال P بتساوي I ال
+
+643
+00:48:48,880 --> 00:48:50,180
+كيف اتجاهها؟
+
+644
+00:48:53,770 --> 00:48:58,550
+أنا بجيب F على واحد اللي معاكم صح ولا لأ اتجاه ال
+
+645
+00:48:58,550 --> 00:49:08,850
+L مش باتجاه التيار اذا حاطب حالك ب طيب
+
+646
+00:49:08,850 --> 00:49:17,030
+كدهش تجاهها ايه I cross ال K سالب G إذا القوة كيف
+
+647
+00:49:17,030 --> 00:49:27,280
+بتكون لأسفل لأسفل هي F واحدأتنافر و لا انجذب انجذب
+
+648
+00:49:27,280 --> 00:49:33,940
+انجذب تمام القوة قدامك الأسفل يعني بتجرب على السلك
+
+649
+00:49:33,940 --> 00:49:38,960
+التاني يعني انجذب عشان هم مع بعض أكس واحد من
+
+650
+00:49:38,960 --> 00:49:44,140
+الطيرات بتنافر أكس واحد بتنافر بيقول the force
+
+651
+00:49:44,140 --> 00:49:50,630
+acting on where one is طلحها هي طلعت ناقش جيهI قصر
+
+652
+00:49:50,630 --> 00:49:55,330
+K بقى J يعني لأسفل بقول that if the direction of
+
+653
+00:49:55,330 --> 00:49:59,170
+the force F is directed toward wire 2 that if the
+
+654
+00:49:59,170 --> 00:50:03,030
+force between the two wires is attractive طبعا
+
+655
+00:50:03,030 --> 00:50:05,810
+المعلومة المعرفة it is easy to show that if the
+
+656
+00:50:05,810 --> 00:50:08,990
+two currents are in opposite directions the force
+
+657
+00:50:08,990 --> 00:50:15,490
+will be repulsive generally speaking the
+
+658
+00:50:15,490 --> 00:50:18,670
+wires attract each other
+
+659
+00:50:27,660 --> 00:50:32,480
+والعكس صحيحهذه المعلومة اللى أخدناها وبرضه احنا
+
+660
+00:50:32,480 --> 00:50:36,220
+هذه المعلومة اللى بنحطها بنطبقش عليها اسلاف ان انا
+
+661
+00:50:36,220 --> 00:50:38,640
+بدي اجيب force بدي اجيبها زى ما جيبتها المرة
+
+662
+00:50:38,640 --> 00:50:42,120
+الماضية ان انا بدي اعمل directions وجيب P واطلحها
+
+663
+00:50:42,120 --> 00:50:45,940
+بـI و لا نقص I جيه ولا نقص جيه بدي استخدمها بس هذه
+
+664
+00:50:45,940 --> 00:50:49,320
+المعلومة طلعت هيك الله سهل عليها مافيش عندى اي
+
+665
+00:50:49,320 --> 00:50:51,660
+مشكلة انها تكون موجودة
+
+666
+00:50:54,860 --> 00:51:00,300
+مثال بيقولي find the magnetic force exerted on the
+
+667
+00:51:00,300 --> 00:51:03,480
+other side of the rectangular loop shown بيقولي
+
+668
+00:51:03,480 --> 00:51:09,380
+هذه عندك سلك الأخضر بيحمل تيار أي واحد وال loop
+
+669
+00:51:09,380 --> 00:51:17,160
+بتحمل تيار أي اتنين سؤالي يا شباب ال loop مغلقة
+
+670
+00:51:17,160 --> 00:51:22,500
+ولا مش مغلقة طيب بيديش الفرصة على ال loop في كل ال
+
+671
+00:51:22,500 --> 00:51:24,160
+loop ليش؟
+
+672
+00:51:30,130 --> 00:51:33,850
+مش هو .. هو؟ لأ أنا مجال مش من الظهر، بالله يا
+
+673
+00:51:33,850 --> 00:51:36,830
+سيدي اسمه يا مين اللي بيجوي على خطوط المجال و يدخل
+
+674
+00:51:36,830 --> 00:51:43,670
+يسوي خارجها؟ بشغل ع فرقسة مجاهد؟ انت بتاعته؟ اه ده
+
+675
+00:51:43,670 --> 00:51:45,930
+اللي بيبقى بيصيحي وراك، من مين جاه؟ اه ده .. ده ..
+
+676
+00:51:45,930 --> 00:51:46,570
+ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده
+
+677
+00:51:46,570 --> 00:51:46,950
+.. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده ..
+
+678
+00:51:46,950 --> 00:51:48,410
+ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده
+
+679
+00:51:48,410 --> 00:51:49,690
+.. ده .. ده .. ده .. ده .. ده .. ده .. ده .. ده ..
+
+680
+00:51:49,690 --> 00:51:54,550
+ده .. دهإن ال force ع ال closed loop بتكون صفر في
+
+681
+00:51:54,550 --> 00:51:56,310
+عندى شرطين اللي ليه بتكون closed و ال magnetic
+
+682
+00:51:56,310 --> 00:52:01,950
+field يكون uniform هل ال magnetic field هنا بيساوي
+
+683
+00:52:01,950 --> 00:52:14,050
+هنا لأ
+
+684
+00:52:14,050 --> 00:52:15,690
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+685
+00:52:15,690 --> 00:52:16,370
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+686
+00:52:16,370 --> 00:52:20,250
+لأ لأ
+
+687
+00:52:20,250 --> 00:52:20,250
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+688
+00:52:20,250 --> 00:52:20,250
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+689
+00:52:20,250 --> 00:52:20,430
+لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ
+
+690
+00:52:20,430 --> 00:52:22,810
+لأهنا ماشيين الفواب مش هال ماشيين الفواب يعني هنا
+
+691
+00:52:22,810 --> 00:52:27,350
+مقادير مختلفة تمام هو يعمل طالب من أيش طالب شباب؟
+
+692
+00:52:27,350 --> 00:52:29,910
+يقولي اوديتلي القوة بس هي اتكلم على ال other side
+
+693
+00:52:29,910 --> 00:52:33,410
+عبدالعلي فوجاني بدي عبدالعلي فوجاني عادة بنشوف
+
+694
+00:52:33,410 --> 00:52:36,730
+احنا بنطلع كل واحد ضاع بس هذا هو مقبوض بقول لما
+
+695
+00:52:36,730 --> 00:52:44,050
+سيطر القوة بدي قوة بقول القوة بيتسمي F بيسوي I L
+
+696
+00:52:44,050 --> 00:52:49,600
+cross ال B صح ولا لأ ال B أعطاني أعلى بدي أجيبهامن
+
+697
+00:52:49,600 --> 00:52:57,080
+وين هي ال BJ من الخط الأخضر تفت تجاهها and there
+
+698
+00:52:57,080 --> 00:53:01,620
+cross كيش قيمتها قال لي قيمتها تاول انا غششتكي
+
+699
+00:53:01,620 --> 00:53:12,300
+ايها ال unit I على 2 by D او R خليها هاي
+
+700
+00:53:12,300 --> 00:53:19,770
+دي حطها و اشتغل خليني أشوف solution the wireI1
+
+701
+00:53:19,770 --> 00:53:24,410
+creates a magnetic field given by .. هاي هقرص ..
+
+702
+00:53:24,410 --> 00:53:27,730
+هاي صار في عندي مجال مغناطيسي .. اتطلع على إيش
+
+703
+00:53:27,730 --> 00:53:32,470
+هذه؟ على X طيب إيش عوض مع هال X هنا في القانون
+
+704
+00:53:32,470 --> 00:53:39,910
+هذا؟ إيش هحط X؟ إيه؟ هو أنا بدي القوة عوين شباب ..
+
+705
+00:53:39,910 --> 00:53:42,010
+بدي القوة علي هذا الطلاب .. إيش هحط X؟
+
+706
+00:53:53,940 --> 00:53:58,940
+هو يعني ايه؟ خلّيني أسأل .. في مجال هنا؟ .. هل ..
+
+707
+00:53:58,940 --> 00:54:02,480
+هو المفروض اللي بيحط شربار .. هو المفروض اللي بيحط
+
+708
+00:54:02,480 --> 00:54:07,100
+مليون .. صح ولا لأ؟ لأنه .. وين خطوط أصبعك هنا في
+
+709
+00:54:07,100 --> 00:54:09,740
+المجال؟ إذا نقول أنك تحط أصبعك هنا و يكون في خط
+
+710
+00:54:09,740 --> 00:54:16,220
+مجال .. و هذه خطوط مجال يعني هي .. و طبعا .. هنا
+
+711
+00:54:16,220 --> 00:54:20,660
+مش بيبقى خط crossبعده اذا هذي اكتر بس انا اخترت
+
+712
+00:54:20,660 --> 00:54:23,500
+اربعة بس عشان ما تزعلش انت زعلان انا اربعة المفروض
+
+713
+00:54:23,500 --> 00:54:28,060
+احضر عشرة تمام؟ يعني هذا بس تمثيل يعني مش اكتر انه
+
+714
+00:54:28,060 --> 00:54:34,840
+في عدة خطوط مجاني شباب اشعار محالي اتسهل ايه؟ اذا
+
+715
+00:54:34,840 --> 00:54:37,480
+عوّبتوا ايه معناته ان انتوا بس ماخدين عند هذا
+
+716
+00:54:37,480 --> 00:54:41,100
+الجزء و اذا خدتوا بيه مفهش اذا معناته ان انت
+
+717
+00:54:41,100 --> 00:54:47,520
+تاخدوا انصرلأيش؟ لأن بيما ثابت و احنا حطينا قانون
+
+718
+00:54:47,520 --> 00:54:53,960
+قبل ما نحط ال شرطة قلنا القانون الأصلي F بتساوي I
+
+719
+00:54:53,960 --> 00:54:59,140
+تكامل D L cross بيما هى التكامل هى القانون الأصلي
+
+720
+00:55:00,440 --> 00:55:04,780
+هل جيت إذا مستقيم كنا تكامل ال DLL صح أو لا؟ إذا
+
+721
+00:55:04,780 --> 00:55:08,640
+مش مستقيم كنا تكامل ال DLL شرطا بس في الحقيقة كنا
+
+722
+00:55:08,640 --> 00:55:13,320
+نكون بشرط انهاش بيتكون Uniform هل هنا بيه Uniform؟
+
+723
+00:55:13,320 --> 00:55:15,620
+إذا ما كنت بيبقى بتستخدم الخبز بلحمه و شحمه زي ما
+
+724
+00:55:15,620 --> 00:55:20,520
+هو بتستخدمه كذلك طب إيش يا أنا ده؟ DL إذا غصب عنك
+
+725
+00:55:20,520 --> 00:55:24,740
+بتتاخد DL غصب عنك بتتاخد DL الآن بتهيزش تكامل
+
+726
+00:55:24,740 --> 00:55:26,060
+بالتالي
+
+727
+00:55:27,830 --> 00:55:31,670
+يقول لي as the magnetic field is not constant
+
+728
+00:55:31,670 --> 00:55:36,950
+along the top side of the loop we have to divide
+
+729
+00:55:36,950 --> 00:55:42,230
+it into small elements each of length dx هاي عنصري
+
+730
+00:55:42,230 --> 00:55:46,790
+هاي خدت عنصري صغير هاي dl طبعا انا اعتبرها dx the
+
+731
+00:55:46,790 --> 00:55:54,170
+force on one of this element is اخد الdf بالساعة
+
+732
+00:55:54,170 --> 00:56:03,280
+I2 اللي هي هذهفي dx cross b1 وهي b1 أولت عنها هجيت
+
+733
+00:56:03,280 --> 00:56:08,060
+ال direction I cross K طلعت جيه وهذا هي dx على x
+
+734
+00:56:08,060 --> 00:56:13,400
+تعرفوا تكملوها طبعا بيكوني كامل الآن طلعت هيك إيش
+
+735
+00:56:13,400 --> 00:56:17,760
+تكمل dx على x طب حولت كامره طلع عليها x بعت إيه
+
+736
+00:56:17,760 --> 00:56:22,560
+شايفين إيه ال x بتعرفنا من بداية الضلع لإلهات
+
+737
+00:56:22,560 --> 00:56:31,040
+الضلع إيش تطلعمن A ل A ذات B طلعتها طلعت هي طب انا
+
+738
+00:56:31,040 --> 00:56:34,740
+سؤال يال لو بدي اديه ع الصيد التحتانى ايش بتتوقع
+
+739
+00:56:34,740 --> 00:56:38,880
+يطلع بالظبط زيه بس بالسالب عشان كده كنا بضايقه بعد
+
+740
+00:56:38,880 --> 00:56:45,420
+لكن لو بدي اديه بتقولها حد يا شباب في ضرورة اخد
+
+741
+00:56:45,420 --> 00:56:53,280
+عناصر لأن ال B بحط مادري X أيش A و بشتغل على
+
+742
+00:56:53,280 --> 00:57:00,560
+القانون هذا يعنيDemonstrate طب ايه هذا؟ بيضايحوا
+
+743
+00:57:00,560 --> 00:57:06,300
+بعض؟ لأ لإن واحد ايه واحد بيه إذا مايساووش بعض هذا
+
+744
+00:57:06,300 --> 00:57:12,520
+بيه أقل من هذا لإن هذا أبعد وبالتالي باكر معاقصين
+
+745
+00:57:12,520 --> 00:57:15,520
+لكن مايساووش بعض لإن بيروح من السفر لإن بيقول خمسة
+
+746
+00:57:15,520 --> 00:57:20,020
+نقص ثلاثة سفر؟ لأ لكن خمسة نقص خمسة سفر وبالتالي
+
+747
+00:57:20,020 --> 00:57:22,900
+تطلع عندي القيمة بهذا الشكل
+
+748
+00:57:27,070 --> 00:57:32,490
+هي جي جي ها عشان بداش نخلط بعيدين كتير شباب قاعد
+
+749
+00:57:32,490 --> 00:57:37,490
+يجي اليوم ناس يخدموها بص مرتين لما نجي دي ميو اللي
+
+750
+00:57:37,490 --> 00:57:41,070
+هي مدنة باب الموميتر وهي سهلة بداش واحد يقول اي
+
+751
+00:57:41,070 --> 00:57:48,160
+قاعد ياخد فهي الميولا تنجد إلا في loops مظبوط ولا
+
+752
+00:57:48,160 --> 00:57:52,380
+لا مش بالساوي ال I في E و ال E مساعة و المساعة
+
+753
+00:57:52,380 --> 00:57:55,760
+المنفعجة لكل loop و التالي هدا هي ال loop أصابعك
+
+754
+00:57:55,760 --> 00:57:59,740
+الأربع لوب هي ال loop كانت سهلة هجد ال cross
+
+755
+00:57:59,740 --> 00:58:02,020
+product تبقى الفوز تعملوش بالإيديان عشان ما
+
+756
+00:58:02,020 --> 00:58:05,940
+تبتخموه تعملوا I وG وK وخلاص بطولة عنكم بس اتجاه
+
+757
+00:58:05,940 --> 00:58:11,260
+ال Bالاتجاه ال B هاي تيارك هاي مدتك فيه بس بدك
+
+758
+00:58:11,260 --> 00:58:13,800
+تكون في عندك معارض و أنت تلف ما تلفش من المكان
+
+759
+00:58:13,800 --> 00:58:16,700
+يعني ان هاي هادي بيه و هدوة راحين من المكان
+
+760
+00:58:16,700 --> 00:58:21,420
+ماتضربوش من المكان بدك تحط النقطة و بالظبط تضلك
+
+761
+00:58:21,420 --> 00:58:27,040
+لافف لما تصل النقطة تمام؟ ماتخليش أصابعك يدوك على
+
+762
+00:58:27,040 --> 00:58:30,080
+أي مكان يكون عشوائي تمام؟
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3d00e9efdca51e3891c29e249769211c054aaf58
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY.srt
@@ -0,0 +1,1625 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,470 --> 00:00:15,290
+بسم الله الرحمن الرحيم ونبدأ الشابتر الرابع
+
+3
+00:00:15,290 --> 00:00:20,030
+الشابتر الرابع عنوانه Capacitance and Dielectrics
+
+4
+00:00:20,030 --> 00:00:24,030
+هذا الشابتر هو آخر شابتر يتعلق بالكهربية الساكنة
+
+5
+00:00:24,030 --> 00:00:28,670
+شباب بعد كده هنخش بالكهربية الديناميكية المتعركة
+
+6
+00:00:28,670 --> 00:00:31,870
+هذا الشابتر آخر حاجة بتعلق بالكهربية الساكنة
+
+7
+00:00:31,870 --> 00:00:38,230
+Capacitance هي السعة التي بترتبط بالمكثفات
+
+8
+00:00:38,230 --> 00:00:43,450
+and Dielectrics هي المادة العازلة التي بداخل 
+
+9
+00:00:43,450 --> 00:00:48,850
+الكاباسيتور يطلق عليها Dielectrics تمام طبعا كما 
+
+10
+00:00:48,850 --> 00:00:51,470
+نفعل دائما الـ Recommended Programs التي يفترض
+
+11
+00:00:51,470 --> 00:00:55,790
+موجودة عندكم لكل الشباتر في Sheet كامل موجود في الـ
+
+12
+00:00:55,790 --> 00:01:00,110
+Outlines أنا مديكم إياها من الأول لكن هذا للتأكيد وفي 
+
+13
+00:01:00,110 --> 00:01:04,130
+إعادة إفادة  ليس أكثر بل الكل تحلوهم يا رب
+
+14
+00:01:13,190 --> 00:01:17,390
+واحد ثلاثة خمسة تسعة .. واحد ثلاثة المظبوط .. هو
+
+15
+00:01:17,390 --> 00:01:20,350
+تسعة وخمسون ليست موجودة .. ليست موجودة أصلا .. كانت
+
+16
+00:01:21,960 --> 00:01:25,300
+الشباب نبدأ أول Section هو الـ Capacitance السعة
+
+17
+00:01:25,300 --> 00:01:30,400
+طبعا نحن  الـ Capacitor هو المكثف الكهربي
+
+18
+00:01:30,400 --> 00:01:34,100
+Capacitor مرات نسميه Condenser لأن اسم التجار
+
+19
+00:01:34,100 --> 00:01:37,700
+يقوله Condenser طبعا Condens أقرب لغويا لكلمة
+
+20
+00:01:37,700 --> 00:01:41,320
+تكثيف مكثف صحيح أم لا؟ Condenser لكن الاسم العلمي 
+
+21
+00:01:41,320 --> 00:01:46,320
+يقوله Capacitor أو Condenser اسم التجار يقوله
+
+22
+00:01:46,320 --> 00:01:49,380
+Condenser
+
+23
+00:01:49,380 --> 00:01:56,180
+طبعا اسم التجار يقوله هو جهاز كهربائي يتكون من 
+
+24
+00:01:56,180 --> 00:02:02,060
+اتصالين Conductor و Conductor
+
+25
+00:02:02,060 --> 00:02:05,720
+بينهما مادة عازلة Conductor و Conductor بينهما مادة
+
+26
+00:02:05,720 --> 00:02:10,460
+عازلة  بس هذا تعريفه هذا جهاز كهربائي ما هي مهمته؟
+
+27
+00:02:10,460 --> 00:02:15,240
+جلي مهمته يخزن شحنات مهمته يخزن شحنات وإذا خزن
+
+28
+00:02:15,240 --> 00:02:18,220
+شحنات يعني خزن طاقة كهربائية وأنا هي التي تهمني في 
+
+29
+00:02:18,220 --> 00:02:21,860
+النهاية أريد طاقة كل أمور الدنيا متعلقة بالطاقة
+
+30
+00:02:21,860 --> 00:02:27,040
+يقول Capacitors are used to store charges  لكي
+
+31
+00:02:27,040 --> 00:02:30,280
+يتخزن Charges and consequently وبالتالي
+
+32
+00:02:30,280 --> 00:02:33,840
+Electrostatic energy all the charges لستُ أريد تصويرها 
+
+33
+00:02:33,840 --> 00:02:37,640
+أريد أخذ الـ Energy التي بداخلها أنا أريد الـ Energy تمام
+
+34
+00:02:39,320 --> 00:02:44,580
+عندما نقول أن الكاباسيتور لديه شحنة Q نشعله بـ Q
+
+35
+00:02:44,580 --> 00:02:51,240
+Q. Q. Q. Q. Q. Q.
+
+36
+00:02:51,240 --> 00:03:02,780
+Q.
+
+37
+00:03:03,010 --> 00:03:06,270
+بش يخشوا بعض؟ إذا يبُطل الـ Capacitor  لهذا السبب 
+
+38
+00:03:06,270 --> 00:03:09,570
+ممنوع أن يكون الوسط الذي بداخله Conductor ولي ببطل ولي
+
+39
+00:03:09,570 --> 00:03:12,090
+الصفائح التي بداخل الـ Capacitor الموجودة لأن 
+
+40
+00:03:12,090 --> 00:03:14,990
+الـ Capacitor يقول لي  أنت تريد إبعادهما عن بعض هذا Q وهذا
+
+41
+00:03:14,990 --> 00:03:18,490
+سبب Q إذا وضعت سلكًا بينهما فكيف تبقى الـ
+
+42
+00:03:18,490 --> 00:03:21,410
+Capacitor؟ وصلهما مع بعض طبعًا عندما توصلها مع بعض أصبح
+
+43
+00:03:21,410 --> 00:03:24,710
+Capacitor بطل Capacitor  عندما تضع بينهما سلكًا 
+
+44
+00:03:24,710 --> 00:03:29,860
+الوسط الذي بينهما Conductor من أول أنتهيت أهم صفة في 
+
+45
+00:03:29,860 --> 00:03:33,180
+الـ Capacitor لأن بينهما Insulator راح  ونحن عندما 
+
+46
+00:03:33,180 --> 00:03:35,920
+نقول الـ Capacitor انحرج أنتم تعرفون ما معنى
+
+47
+00:03:35,920 --> 00:03:41,420
+انحرج؟ لأن الوسط الذي بداخله بطل Insulator تأين  
+
+48
+00:03:41,420 --> 00:03:44,180
+وعندما تأين يصبح الوسط الذي بداخله Conductorصار موسيقى
+
+49
+00:03:44,180 --> 00:03:46,560
+إذا بطل الـ Conductor وارمها في الزبالة بطل ارمها
+
+50
+00:03:46,560 --> 00:03:49,600
+Capacitor خلاص أنه ينحرج ينحرج المادة الوسطى التي
+
+51
+00:03:49,600 --> 00:03:52,600
+بينهما شباب هذه هي التي تطلق رائحة لهذا السبب يكتبون
+
+52
+00:03:52,600 --> 00:03:57,240
+عند أي Capacitor أعلى جهد ممكن وضعه عليه لماذا؟ ليس 
+
+53
+00:03:57,240 --> 00:04:00,620
+لأن الـ Conductors تبكي عندما تدخل على الجهد  لا
+
+54
+00:04:00,620 --> 00:04:03,600
+لأن الـ Insulators التي لديه تتأين عند هذا
+
+55
+00:04:03,600 --> 00:04:08,450
+الجهد لا تتحمله لأن المادة الوسطى تصبح Conductor تتأين
+
+56
+00:04:08,450 --> 00:04:11,150
+ولا تتحمل وتبطل الـ Insulator وبالتالي هذا الـ
+
+57
+00:04:11,150 --> 00:04:14,270
+Capacitor لا يتحمل هذا الجهد أول ما تضعها يخرج منها
+
+58
+00:04:14,270 --> 00:04:16,530
+تبطل في نفس الوقت  وترميها في الزبالة يبطل أي 
+
+59
+00:04:16,530 --> 00:04:21,860
+Capacitor  على الإطلاق تمامًا إذا يقول لي When we said a 
+
+60
+00:04:21,860 --> 00:04:24,920
+Capacitor has a charge capital Q we mean that one 
+
+61
+00:04:24,920 --> 00:04:28,080
+of the Conductors has a charge capital Q and the
+
+62
+00:04:28,080 --> 00:04:32,280
+other has a charge minus Q الـ Total Q كم؟ Zero
+
+63
+00:04:32,280 --> 00:04:36,320
+الـ Total Q Zero لكن يقول له شحن لأن الـ Total charge 
+
+64
+00:04:36,320 --> 00:04:40,080
+is zero يقول له شحن لأن واحد فيه Q والآخر ما هو سبب
+
+65
+00:04:40,080 --> 00:04:43,540
+Q بعض عن بعض هذا لحالة وهذا لحالة لهذا السبب يدرس
+
+66
+00:04:43,540 --> 00:04:46,820
+تقول Zero لأن ليس Conductor واحدًا صحيح؟ جميل؟
+
+67
+00:04:48,470 --> 00:04:51,070
+الـ Conductors عادة ما تكون لديها شحنة  ولكن مقارنة 
+
+68
+00:04:51,070 --> 00:04:53,310
+بسيطة لكي تكون مقارنة بسيطة لكي تكون مقارنة مقارنة
+
+69
+00:04:53,310 --> 00:04:53,930
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+70
+00:04:53,930 --> 00:04:55,850
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+71
+00:04:55,850 --> 00:04:55,970
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+72
+00:04:55,970 --> 00:05:04,830
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+73
+00:05:04,830 --> 00:05:11,630
+مقارنة مقارنة مقارنة مقارنة م
+
+74
+00:05:16,620 --> 00:05:21,860
+E مجال كهربائي و V جهود كهربائي الـ Q شحنة صحيح أم 
+
+75
+00:05:21,860 --> 00:05:27,340
+لا؟ الـ C كمية فيزيائية جيدة تعني سعة المكثف 
+
+76
+00:05:27,340 --> 00:05:32,240
+الـ Capacity of a Capacitor عرفوها Is defined as
+
+77
+00:05:32,240 --> 00:05:37,340
+the ratio of the magnitude of the charge Q on
+
+78
+00:05:37,340 --> 00:05:38,660
+either Conductors
+
+79
+00:05:48,010 --> 00:05:50,870
+على فرق الجهد بين الانتقالات بين الانتقالات
+
+80
+00:05:50,870 --> 00:05:54,670
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+81
+00:05:54,670 --> 00:05:54,790
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+82
+00:05:54,790 --> 00:05:55,270
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+83
+00:05:55,270 --> 00:05:55,650
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+84
+00:05:55,650 --> 00:05:55,690
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+85
+00:05:55,690 --> 00:05:56,450
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+86
+00:05:56,450 --> 00:06:00,450
+والانتقالات والانتق Delta V كل كده يبقى فيك حط
+
+87
+00:06:00,450 --> 00:06:04,210
+Delta Delta Delta تغلبني هذه حط V وضع جوه المخيلة 
+
+88
+00:06:04,210 --> 00:06:08,490
+عندك أن هذه فرق جهود ليس جهود فاهمينش بعد؟ هي أصلا 
+
+89
+00:06:08,490 --> 00:06:13,730
+فرق جهود ولكن منذ اليوم الذي يطلع فرق الجهود أريد رمزه
+
+90
+00:06:13,730 --> 00:06:19,630
+وجه V وأستغني عن Delta لفة بسيطة هي التي نحن 
+
+91
+00:06:19,630 --> 00:06:26,030
+نقول لـ بريز كم الجهود فرق جهود أم جهود؟ فرق جهود
+
+92
+00:06:26,030 --> 00:06:29,530
+ولكن ما نوصل لبرنامج V تمام هو فرق جهود بين نقطتين
+
+93
+00:06:29,530 --> 00:06:33,230
+عندما أصل المكوى هو فرق جهود بين سلكين المكوى
+
+94
+00:06:33,230 --> 00:06:36,110
+أم لا؟ هو فرق جهود ولكن خلاص قال لك أنت فرق جهود فرق
+
+95
+00:06:36,110 --> 00:06:39,170
+جهود فأنت من الجد ما زلت تعرف أنه فرق جهود حط
+
+96
+00:06:39,170 --> 00:06:43,190
+V وخلاص فمن اليوم الذي يطلع V الآن يكون فرق جهود
+
+97
+00:06:43,190 --> 00:06:46,650
+ليس جهود شباب تمام؟ To the magnitude of the 
+
+98
+00:06:46,650 --> 00:06:48,850
+potential difference فرق الجهد بينهما
+
+99
+00:06:48,850 --> 00:06:52,050
+Donated year after by V  منذ اليوم الذي يطلع الحيوانات
+
+100
+00:06:52,050 --> 00:06:54,570
+Year after من يوم ما طالع الـ Data V أريد أخذ نزلة 
+
+101
+00:06:54,570 --> 00:06:59,370
+بالرمز V فقط شباب تمام  IE ما هو التعريف يقول لي؟
+
+102
+00:06:59,370 --> 00:07:03,090
+C بالسعة كبتر الـ Q على كبتر الـ V  هجيت فرق الجهد
+
+103
+00:07:03,090 --> 00:07:06,350
+ممكن أن تكون موجبة وممكن أن تكون سالبة؟ صحيح  والـ Q ممكن
+
+104
+00:07:06,350 --> 00:07:09,030
+أن تكون موجبة وممكن أن تكون سالبة؟ هجيت أنت تقول لي خذ الـ
+
+105
+00:07:09,030 --> 00:07:11,990
+Q موجبة أم سالبة الجهد طلع موجبة أم سالبة في 
+
+106
+00:07:11,990 --> 00:07:15,550
+الآخر تأخذ ماذا؟ Absolute Value  أم عمر كنت سمعت عند 
+
+107
+00:07:15,550 --> 00:07:19,030
+جزازة ساعتها سالبة؟ ليست السعة تقبل أن تكون
+
+108
+00:07:19,030 --> 00:07:22,450
+سالبة تمام؟  هي السعة خلاص السعة هذه هي موجبة 
+
+109
+00:07:22,450 --> 00:07:27,880
+جميل هي السعة هذه وحدتها؟  كلها على Volt فبعد سعة
+
+110
+00:07:27,880 --> 00:07:33,080
+برضه صارت كمية تجارية هجي تروح أنت لاقي واحد يسمى
+
+111
+00:07:33,080 --> 00:07:36,300
+تاجر أو واحد يبيع يقول لك اه جيجي له جيب لي مكثف
+
+112
+00:07:36,300 --> 00:07:43,140
+كذا فاراد بديكيه إذا معناه صارت لغة تجارية وصارت 
+
+113
+00:07:43,140 --> 00:07:47,000
+مشهورة مثل الـ Volt فدعوها وحدة هي الفاراد وهي
+
+114
+00:07:47,000 --> 00:07:51,830
+تساوي كولوم على فولت The capacitance is always a
+
+115
+00:07:51,830 --> 00:07:54,870
+positive quantity لأنه سعة لا يمكن أن تكون
+
+116
+00:07:54,870 --> 00:07:57,990
+Negative Thus, a unit of capacitance C is column
+
+117
+00:07:57,990 --> 00:08:02,390
+per volt هذه أصلها This unit is referred as Farad
+
+118
+00:08:02,390 --> 00:08:06,530
+That is واحد فاراد يساوي واحد كولوم على فولت سهل Is
+
+119
+00:08:06,530 --> 00:08:11,090
+MC لها خاصية؟ نعم الفاراد وحدة ماذا يا شباب؟ السعة الـ
+
+120
+00:08:11,090 --> 00:08:14,870
+Capacitance جميل علاقاتها بالكولوم والفولت معروفة من 
+
+121
+00:08:14,870 --> 00:08:21,490
+قولها الأصلي تمام كيف أريد حسابها؟ كيف أريد حسابها؟ 
+
+122
+00:08:21,490 --> 00:08:24,610
+جاء لي احسبها عندما تعرفت عليها  أليس تساوي Q على فرق جهود؟ 
+
+123
+00:08:24,610 --> 00:08:27,750
+طب فرق الجهود عندما رأيتها من الماضي علمتك كيف 
+
+124
+00:08:27,750 --> 00:08:30,550
+أحضر فرق الجهود من نقطتين أم لا يا شباب؟ عندما يقول
+
+125
+00:08:30,550 --> 00:08:34,030
+التكامل من نقطة لنقطة إذا نشتغل على هذا الأساس
+
+126
+00:08:34,030 --> 00:08:37,470
+Calculation of Capacitance كيف بدأت حساب الـ
+
+127
+00:08:37,470 --> 00:08:42,230
+Capacitance لا ننسى أنه في المحلات يوجد عنده 
+
+128
+00:08:42,230 --> 00:08:46,860
+الكثير من الأجهزة الكهربائية يا شباب يعني غسالات 
+
+129
+00:08:46,860 --> 00:08:50,720
+وتلفزيونات ومسجلات هذه الكباسيتور تجدها في كل
+
+130
+00:08:50,720 --> 00:08:54,040
+جهاز أنت قرأت لو ذهبت إلى أحد من برج جهو هنا
+
+131
+00:08:54,040 --> 00:08:57,080
+يبيع أجهزة كهربائية صغيرة غير الجرو يبيع الأجهزة 
+
+132
+00:08:57,080 --> 00:09:00,020
+الغسالات والأشياء في واحد ثاني تذهب تقول والله 
+
+133
+00:09:00,020 --> 00:09:04,680
+أريد كباسيتور نفترض عشرة ميكروفاراد تطلع تضعهم في 
+
+134
+00:09:04,680 --> 00:09:07,640
+سلة اكتار تطلع عليهم  يعطيك واحد مكتوب عليه عشرة
+
+135
+00:09:07,640 --> 00:09:11,500
+ميكروفاراد طب هو إذا السعة محسوبة أم غير محسوبة؟
+
+136
+00:09:11,500 --> 00:09:14,280
+محسوبة ومكتوبة طب كيف حسبوها؟  نتعلم كيف تحسب
+
+137
+00:09:14,280 --> 00:09:17,560
+السعة لأنها مكتوبة على كل واحد مثل الـ مثل 
+
+138
+00:09:17,560 --> 00:09:21,540
+المقاومات أخذتم في المختبر بالألوان تحسب أم لا؟
+
+139
+00:09:21,540 --> 00:09:23,880
+طبعا المقاومات وأنت أخذتها في المدارس تعتمد على
+
+140
+00:09:23,880 --> 00:09:28,040
+الطول وعنه علامات هذا صحيح أم لا ونحسبها؟ نعم وسمك 
+
+141
+00:09:28,040 --> 00:09:32,180
+نحسبها يعني يقول أن هناك أنواع عديدة لـ Capacitors في
+
+142
+00:09:32,180 --> 00:09:37,740
+عندي ثلاثة مشهورين في أشهرهم Parallel Plate Capacitor 
+
+143
+00:09:37,740 --> 00:09:41,400
+كيف رمز الـ Capacitor في الدائرة الكهربائية ياخذونها؟
+
+144
+00:09:41,400 --> 00:09:46,280
+عصاتين صحيح أم لا .. هذه العصا خط أم لا .. أم صفيحة؟
+
+145
+00:09:46,280 --> 00:09:49,980
+صفيحة هي أصلها هذه الـ Capacitor هذه Parallel Plate
+
+146
+00:09:49,980 --> 00:09:52,520
+Capacitor يا شباب الرمز جاء من هذا الـ Capacitor
+
+147
+00:09:52,520 --> 00:09:57,000
+جاء لك وضع صفيحة أكبر صفيحة وأنا أضع خط أكبر خط هذه 
+
+148
+00:09:57,000 --> 00:10:01,670
+الصفيحة وهي كبيرة صفيحة هذا Conductor وهذا Conductor 
+
+149
+00:10:01,670 --> 00:10:05,250
+بينهما مادة عازلة وهي وسط عزل وهي الـ Capacitor طبعا هذا
+
+150
+00:10:05,250 --> 00:10:09,730
+ليس خط يا شباب هي وهي فأنت على هذه يا شباب أشهرهم بره 
+
+151
+00:10:09,730 --> 00:10:13,490
+الـ Parallel Plate Capacitor  الـ Parallel مقاتل صفيحة إذا الـ
+
+152
+00:10:13,490 --> 00:10:17,310
+Capacitor بالصفيحتين المتوازيتين هذا أشهرهم جاء
+
+153
+00:10:17,310 --> 00:10:22,670
+يرسم  لكي نعرف نشتغل جاء هذا هو صفيحة فجأة صفيحة
+
+154
+00:10:22,670 --> 00:10:27,220
+تمام؟ عندما نرسمها الكباسيتور يكون من اتجاه اتجاه
+
+155
+00:10:27,220 --> 00:10:28,440
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+156
+00:10:28,440 --> 00:10:30,840
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+157
+00:10:30,840 --> 00:10:36,560
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه 
+
+158
+00:10:39,480 --> 00:10:43,340
+Of equal area a  تتجنب بعض ضعها separated by a 
+
+159
+00:10:43,340 --> 00:10:47,280
+distance d and immersed in Vacuum هو أنا غمرتهم في
+
+160
+00:10:47,280 --> 00:10:50,200
+الـ Vacuum في الهواء يعني الوسط الذي بينهما ماذا؟ هواء
+
+161
+00:10:50,200 --> 00:10:53,860
+وهواء وسط عزل أم لا؟ وسط عزل هذا هو شرط الـ
+
+162
+00:10:53,860 --> 00:10:57,780
+Conductor الفوق أحمر موجب والتي أسفل أزرق سالب
+
+163
+00:10:57,780 --> 00:11:01,440
+تمام كما نحن شحنتم قال لي دعني أضعهم هكذا هالـ
+
+164
+00:11:01,440 --> 00:11:04,990
+Gate مثل الرسمة التابعة لهم الجميلة تمام؟ أنت بدأت تجيب
+
+165
+00:11:04,990 --> 00:11:07,970
+الجهد والجهد يأتي من المجال أصلا من المجال خطوط
+
+166
+00:11:07,970 --> 00:11:11,990
+المجال من الموجب للسالب أم لا؟ نعم من الموجب للسالب
+
+167
+00:11:11,990 --> 00:11:15,790
+المسافة التي بينهما هذه هي Positive شايفين 
+
+168
+00:11:15,790 --> 00:11:18,390
+Positive التي هنا وهذه Negative طبعا الألوان تعطيك
+
+169
+00:11:18,390 --> 00:11:20,750
+Positive و Negative وبالتالي خطوط المجال تذهب من 
+
+170
+00:11:20,750 --> 00:11:23,750
+Positive لـ Negative طبعا أنا رسمتها خطوطًا متوازية 
+
+171
+00:11:23,750 --> 00:11:27,090
+يا شباب تمام قد ما تشوف ايش البرس في معنا يقول If 
+
+172
+00:11:27,090 --> 00:11:30,780
+the separation هذه شايفين المسافة هذه E is small
+
+173
+00:11:30,780 --> 00:11:34,340
+compared to the size of the blades إذا كانت D 
+
+174
+00:11:34,340 --> 00:11:38,580
+صغيرة تقدر تقول كل نقطة بداخلها تعتبر Just outside a 
+
+175
+00:11:38,580 --> 00:11
+
+201
+00:13:11,220 --> 00:13:15,670
+بيصير في عنده، بيه رسمات على هذه القضية، تمام؟لأ
+
+202
+00:13:15,670 --> 00:13:22,230
+أن المجال خارج الكباسيتر لا يوجد فيه مجال ولا هنا
+
+203
+00:13:22,230 --> 00:13:24,750
+فيه مجال ليش؟ بيقول ما هو المجال ببدأ من هنا و
+
+204
+00:13:24,750 --> 00:13:27,990
+بخلص هنا ببدأ هنا و بخلص هنا طب أنا بدي أديكم شغلة
+
+205
+00:13:27,990 --> 00:13:31,590
+ثانية جيلي كيف بدي أنا أرسمها يعني أثبتها غير هيك
+
+206
+00:13:31,590 --> 00:13:37,390
+إثبات؟ جيلي حلو نقطة المجال من هنا جايه من الحمراء
+
+207
+00:13:37,390 --> 00:13:42,140
+ولا من الحمراء والزرقاء؟ النقطة هادي المجال جاى من
+
+208
+00:13:42,140 --> 00:13:45,140
+الحمرة بس ولا من الحمرة والزرقاء ماشينا فيه
+
+209
+00:13:45,140 --> 00:13:48,020
+شحنات ومينا فيه شحنات طب خلّينا نشتغل كل واحد
+
+210
+00:13:48,020 --> 00:13:51,440
+لحاله شباب أجيب الحمرة لحالي والزرقاء لحالي نبدأ
+
+211
+00:13:51,440 --> 00:13:57,080
+بالحمرة هاي الرد عشان أنا ما أعيش كلام إلا رد خاطف
+
+212
+00:13:57,080 --> 00:14:03,100
+المجال هادي red positive كيف بيكون صحيك شباب مشاكل
+
+213
+00:14:03,100 --> 00:14:09,040
+خاطف المجال طيب هادي blue لحالها هجيتفي هذه اللقطة
+
+214
+00:14:09,040 --> 00:14:13,400
+just outside لأ مش just outside جبتها لـ ال plate
+
+215
+00:14:13,400 --> 00:14:16,680
+تذكرين الورقة اللي حليناها في جوز الـ surface طلعت E
+
+216
+00:14:16,680 --> 00:14:20,100
+بتساوي سيجما على epsilon note بس هنا حطيت اتنين
+
+217
+00:14:20,100 --> 00:14:24,860
+أيامها هذه E لـ plate واحدة E لـ plate واحدة في جوز
+
+218
+00:14:24,860 --> 00:14:28,300
+الـ surface حليتها أنا وياكم لما جبت الورقة وحطيت
+
+219
+00:14:28,300 --> 00:14:32,260
+الستوانة وخرجنا الورقة وظننا يستلقى طلعتك النتيجة
+
+220
+00:14:32,980 --> 00:14:37,280
+هذه بس الحمرة قال لي حلو جيبي الزرقاء هي دم اجيبي
+
+221
+00:14:37,280 --> 00:14:42,540
+الزرقاء شباب هذي الـ blue انسى الحمرة مش موجودة
+
+222
+00:14:42,540 --> 00:14:47,220
+الحمرة الـ blue موجودة ولا سالبة كيف خطها بدو يكون
+
+223
+00:14:47,220 --> 00:14:52,400
+صح
+
+224
+00:14:52,400 --> 00:14:55,900
+ولا لأ جدش ايه دلوقتي نفس العملية بس أنت مايعرفش
+
+225
+00:14:55,900 --> 00:14:59,880
+أنه يتغير تفهم ياراه هجيتي جيبلي المجال هجيتي
+
+226
+00:14:59,880 --> 00:15:05,000
+المجال أكم خطهنا وهنا زي بعض ولا عكس بعض ايش
+
+227
+00:15:05,000 --> 00:15:11,300
+بيصير فيهم طب هنا وهنا نفس بعض ولا لا سيجما على
+
+228
+00:15:11,300 --> 00:15:18,480
+تين ابسل نوت وسيجما على تين ابسل نوت طب هنا كده
+
+229
+00:15:18,480 --> 00:15:24,290
+ايش؟ Zero هي أنا جبتها بطريقة تانية بيقولي not that
+
+230
+00:15:24,290 --> 00:15:26,670
+the electric field outside the capacitor is zero
+
+231
+00:15:26,670 --> 00:15:31,230
+بيقولي why؟ غاضح ليش why لأنه بيلغوا بعض بس جوا
+
+232
+00:15:31,230 --> 00:15:36,030
+بيلغوش بعض بيجمعوا بيصير نص سيجما علي ابسلون نوت و
+
+233
+00:15:36,030 --> 00:15:38,530
+نص سيجما علي ابسلون نوت بتطلع عندي سيجما علي
+
+234
+00:15:38,530 --> 00:15:43,510
+ابسلون نوت المهم طلعتها سيجما علي ابسلون نوت هي
+
+235
+00:15:43,510 --> 00:15:46,610
+ايه هنا صفر وايه هنا صفر وأنا سبتها أنا وياكم
+
+236
+00:15:46,610 --> 00:15:51,170
+تمام The value of the electric field inside the
+
+237
+00:15:51,170 --> 00:15:54,370
+capacitor is therefore uniform and equal to سجما
+
+238
+00:15:54,370 --> 00:15:58,150
+علي أبسلون نوت عرفنا، صح ولا لأ؟ الآن، with سجما
+
+239
+00:15:58,150 --> 00:16:01,170
+بالساقية علي ايه؟ ولا نسيناها هذه؟ الشحنات مين
+
+240
+00:16:01,170 --> 00:16:06,450
+محطوطة هم؟ على السطح، على السطح ايش؟ البنية، يعني
+
+241
+00:16:06,450 --> 00:16:10,610
+الـ area هذه، مساحة مين؟ بيصير في خطأ دايما عن
+
+242
+00:16:10,610 --> 00:16:13,970
+الشباب، بيقولي هي الـ capacitor، رجعنا، بفكروا الـ
+
+243
+00:16:13,970 --> 00:16:18,770
+area هذه لأ مش هذه .. هذا قطعة ولا بليت؟ بليت، هذه
+
+244
+00:16:18,770 --> 00:16:23,530
+مساحة البليت، واضح؟ لأن الشحنات هناك، تانى ده
+
+245
+00:16:23,530 --> 00:16:26,830
+potential difference هذي P D potential difference
+
+246
+00:16:26,830 --> 00:16:30,630
+فرق جهد بدي أجيب، مش أنا بدي C في الأخر شباب بيصير
+
+247
+00:16:30,630 --> 00:16:34,110
+Q على D الشكل النتجة، أنا بدي أحسب C من هذا
+
+248
+00:16:34,110 --> 00:16:39,090
+القانون، فبديها دي هذي V ولا Δ V أصلها؟ بين مين
+
+249
+00:16:39,090 --> 00:16:45,170
+ومين؟ بين ترفيه الكبسيطر يعني بين هذه وبين هذه فعلا
+
+250
+00:16:45,170 --> 00:16:48,010
+يعني هي initial final وهي الـ point هي final point
+
+251
+00:16:48,010 --> 00:16:51,490
+هي delta V V final مقص V initial طب وأنا ماشي من
+
+252
+00:16:51,490 --> 00:16:53,810
+هنا أي مجال بالدين اللي برا ولا اللي هنا ولا اللي
+
+253
+00:16:53,810 --> 00:16:58,210
+هنا بس هذا اللي قيمته sigma على epsilon note واضح
+
+254
+00:16:58,210 --> 00:17:00,890
+شباب لإن أنا بدي أجمع من initial لـ final لإن V
+
+255
+00:17:00,890 --> 00:17:04,950
+ماهيش جهود إن نقطة الآن هو فرق جهود بين ترفيه
+
+256
+00:17:04,950 --> 00:17:11,690
+الكبسيطر فبقول لي V بتساوي من الصلبة الموجودة من
+
+257
+00:17:11,690 --> 00:17:15,930
+الـ E شرفاية من الصلبة الموجودة أتبرقى تمام يعني
+
+258
+00:17:15,930 --> 00:17:22,390
+من الزرجل الحمرا واضح؟ E بطل DL بقول since E is
+
+259
+00:17:22,390 --> 00:17:26,450
+constant لإن أنا بسوى سجم على أبسل نور Uniform I'm
+
+260
+00:17:26,450 --> 00:17:29,210
+directed from the positive to the negative plate
+
+261
+00:17:29,210 --> 00:17:36,200
+وهي عكس DL وقصان الـ180 سالب تمام we can writeV
+
+262
+00:17:36,200 --> 00:17:39,360
+طلعت E او الـD طلعت روحها الـDL الـDL مش هي
+
+263
+00:17:39,360 --> 00:17:42,920
+المسافة بين الأولى والتانية واديتها الرمز D أنا
+
+264
+00:17:42,920 --> 00:17:50,180
+طلعت الجواب. إذا V بتساوي E طب مش E بتساوي سجن على
+
+265
+00:17:50,180 --> 00:17:54,260
+أبسل نوت شباب؟ وهي دي طب سيجما بيساوي Q على A ولا
+
+266
+00:17:54,260 --> 00:17:59,680
+مش بتساويش Q على A بتساوي Q على A هاي طلعت V ها دي
+
+267
+00:17:59,680 --> 00:18:07,280
+طلعت طبق هنا في Q هنا في Q بوحة Q مع Q صح طلع C ها
+
+268
+00:18:07,280 --> 00:18:13,960
+دي E وها دي سيجما تمام الآن Now C بيساوي Q على V
+
+269
+00:18:13,960 --> 00:18:18,940
+القانون اللي بتجيب عنه طلعناه وطلعت هيك هاي الجواب
+
+270
+00:18:18,940 --> 00:18:24,440
+هذا بدنا نحفظه C بيساوي E على D طيب شباب طلعوا على
+
+271
+00:18:24,440 --> 00:18:31,500
+القانون في Q لو ماكنش مشحون إله سعة اه في Q هنا
+
+272
+00:18:31,500 --> 00:18:36,480
+عوض وQ صفر اتغيرت هذه النتيجة إذا السعة من
+
+273
+00:18:36,480 --> 00:18:41,380
+هالجواب الشحنة في V فرخ جود لأ أنا مش موصف في
+
+274
+00:18:41,380 --> 00:18:45,100
+كهربا فإله السعة اه طبعا ايش السعة بتعتمد قولي هي
+
+275
+00:18:45,100 --> 00:18:48,780
+تعتمد على مساحته ومسافة اللي بينهم وE أبسل نوت
+
+276
+00:18:48,780 --> 00:18:52,560
+أبسل نوت ايش بيمثل الوسط العاسق مش epsilon note هو
+
+277
+00:18:52,560 --> 00:18:56,280
+ثابت النفاذية الكهربائية للفراخ تمام؟ إذا معناته
+
+278
+00:18:56,280 --> 00:19:00,600
+لما يرميلي في السلة كبسطر وكتبلي جدش كيلو كبسطر
+
+279
+00:19:00,600 --> 00:19:03,900
+انسبعته صح مع الواحد بيقولك تنور مش مشعون وأنت
+
+280
+00:19:03,900 --> 00:19:06,600
+بتقول لي C بالثورة كيلو على D طلع على احنا القانون
+
+281
+00:19:06,600 --> 00:19:12,880
+الشباب لو هذه زابت بتزيد هذه؟ لأ زي الخزانة ساعتها
+
+282
+00:19:12,880 --> 00:19:17,500
+تنفذت طبعا طب إذا زادت هاتيش بتزيد بيقولك هذا
+
+283
+00:19:17,500 --> 00:19:21,640
+بتزيد عشان أزله هذه ثابتة فاهمت عليها؟ لأن هاي الـC
+
+284
+00:19:21,640 --> 00:19:24,920
+عارف تتمت تتمتش دي على الـQ وعلى الـV فدائما
+
+285
+00:19:24,920 --> 00:19:27,660
+العارف بتكون عارف الـK بقى هو عارف القانون اللي
+
+286
+00:19:27,660 --> 00:19:31,400
+كلكم حافظينه بقولك Q زادت بقولهم فيزي زادت على طول
+
+287
+00:19:31,400 --> 00:19:35,360
+اه V زادت وبعدين لأ لأ والله اللي عارف تصيرش شيء
+
+288
+00:19:35,360 --> 00:19:37,920
+فاهمت عليها؟ إذا إن الأرواح قدر الميئة هذي زادت
+
+289
+00:19:37,920 --> 00:19:42,750
+هذي زادت هذه جلة وهذه جلة والعكس صحيح لكن هذه لا
+
+290
+00:19:42,750 --> 00:19:46,650
+تعتمد إلا على ابسلون نوت أو ايه أو دي يعني بتعتمد
+
+291
+00:19:46,650 --> 00:19:49,830
+على التركيبة تبع الكباسيدر الـ issue التركيبة مساحة
+
+292
+00:19:49,830 --> 00:19:53,070
+الـ place والبُقات بينهم والوسط العازل اللي بينهم
+
+293
+00:19:53,070 --> 00:19:56,910
+ماذا هو الكباسيدر؟ two compactors بينهم وسط عازل
+
+294
+00:19:56,910 --> 00:20:01,650
+الوسط العازل له دعوة بيبين بالمثل ابسلون نوت الـ
+
+295
+00:20:01,650 --> 00:20:06,010
+two compactors اللي هم أحجام اللي هم البُقات بينهم
+
+296
+00:20:06,010 --> 00:20:13,220
+والمساحة تبعته هذا يعني أن القوام يعتمد فقط على
+
+297
+00:20:13,220 --> 00:20:17,380
+جيومتري القوام بيعتمد فقط على التركيبة الهندسية
+
+298
+00:20:17,380 --> 00:20:18,120
+للقوام بيعتمد فقط على التركيبة الهندسية للقوام
+
+299
+00:20:18,120 --> 00:20:18,640
+بيعتمد فقط على التركيبة الهندسية للقوام بيعتمد فقط
+
+300
+00:20:18,640 --> 00:20:18,840
+على التركيبة الهندسية للقوام بيعتمد فقط على
+
+301
+00:20:18,840 --> 00:20:19,500
+التركيبة الهندسية للقوام بيعتمد فقط على التركيبة
+
+302
+00:20:19,500 --> 00:20:19,900
+الهندسية للقوام بيعتمد فقط على التركيبة الهندسية
+
+303
+00:20:19,900 --> 00:20:21,660
+للقوام بيعتمد فقط على التركيبة الهندسية للقوام
+
+304
+00:20:21,660 --> 00:20:26,220
+بيعتمد فقط على التركيبة الهندسية للقوام بيعتمد
+
+305
+00:20:26,220 --> 00:20:29,840
+فقط
+
+306
+00:20:29,840 --> 00:20:33,810
+على التركيبة بيقول لي هي تناسب .. تناسب انطريا مع
+
+307
+00:20:33,810 --> 00:20:38,530
+المساحة وعكسيا مع دي .. بيقول لي كل ما كبعتهم عن
+
+308
+00:20:38,530 --> 00:20:42,470
+بعد السعب تجيل .. كل ما بعتهم عن بعد السعب تجيل ..
+
+309
+00:20:42,470 --> 00:20:46,950
+وكل ما كبرت مساحتهم السعب تزيل .. تبتديت زي بعض ..
+
+310
+00:20:46,950 --> 00:20:49,910
+اه اصلا لو كبرت اتنين يعني تجيب أنت ورقتين ايه
+
+311
+00:20:49,910 --> 00:20:53,450
+فوله أو اكتن ب .. ب .. ب .. ب five .. تفرق و اكتن
+
+312
+00:20:53,450 --> 00:20:56,070
+المعدن طبعا مش ورقتين من الورق .. تمام؟ عشان
+
+313
+00:20:56,070 --> 00:21:05,480
+يكونوا كنت بكتر We will see later that
+
+314
+00:21:05,480 --> 00:21:08,540
+if the medium between the blades is not vacuumed,
+
+315
+00:21:08,540 --> 00:21:11,260
+this constant should be multiplied by a factor
+
+316
+00:21:19,170 --> 00:21:22,950
+السيركيتز اللي أنتو عارفينها الكمبيوتر والبطارية
+
+317
+00:21:22,950 --> 00:21:25,810
+مميزة كشون هتمولوا علينا البطارية ايش معاها
+
+318
+00:21:25,810 --> 00:21:28,710
+البطارية البطارية هتمولوا من يوم اطلع شوية
+
+319
+00:21:28,710 --> 00:21:31,430
+البطارية بيقولوا هاي الكمبيوتر في حد مارفعش
+
+320
+00:21:31,430 --> 00:21:38,430
+وبطارية طبعا الكبيرة حمرا ولا لا والصغيرة الزرقة
+
+321
+00:21:38,430 --> 00:21:41,370
+الكبيرة هي الموجب والصغيرة هي السالبة هاي هنكون
+
+322
+00:21:41,370 --> 00:21:45,010
+رموز اللي هنستخدمها طب بيقولوا كيف احنا بنشحن
+
+323
+00:21:45,010 --> 00:21:49,140
+الكمبيوتر بيقولوا when we charge a capacitor فكيف
+
+324
+00:21:49,140 --> 00:21:53,940
+نشحنه؟ فبنوصل البطارية وراها شبال نستطيع نشحن
+
+325
+00:21:53,940 --> 00:21:58,760
+كباسيتر بإتصاله عبر ترميل البطارية ترميل الطرفين
+
+326
+00:21:58,760 --> 00:22:03,520
+أطراف البطارية خلينا نشحنه هذا هو حيث أنا شحنته
+
+327
+00:22:03,520 --> 00:22:07,120
+ايش بده يصير؟ بقول ايش بده يصير؟ in doing so
+
+328
+00:22:07,120 --> 00:22:10,780
+electrons transfer وخلينا أولا الرسم أحلى هكذا
+
+329
+00:22:10,780 --> 00:22:11,200
+بنشحن
+
+330
+00:22:13,970 --> 00:22:17,290
+اللي بتحرك Electron شباب أزرق شايفينه؟ إيش اللي
+
+331
+00:22:17,290 --> 00:22:20,670
+حركوه؟ بيقولوا هذا قطب موجب، إيش اللي بيأكل جنبه؟
+
+332
+00:22:20,670 --> 00:22:25,670
+الإلكترونات، مظبوط؟ مش هذا قطب موجب؟ وهذا كوندكتر؟
+
+333
+00:22:25,670 --> 00:22:28,070
+فيه free electrons ولا لأ؟ فيه free electrons،
+
+334
+00:22:28,070 --> 00:22:31,650
+بيجوا هيك، وبيمشوا، طب هذا أخدت منه إلكترون، هو
+
+335
+00:22:31,650 --> 00:22:34,570
+مش بيصير باله زي ما هو ولا بيصير موجب، طب
+
+336
+00:22:34,570 --> 00:22:37,530
+الإلكترون اللي أخدته ووديته، بيصير هذا موجب وهذا
+
+337
+00:22:37,530 --> 00:22:41,140
+سالب طب هو إيش النجا الالكترون من هالهال؟ مانه هاد
+
+338
+00:22:41,140 --> 00:22:44,180
+الالكترون وهاد سالب يتنافع بيقول هي شغل البطارية
+
+339
+00:22:44,180 --> 00:22:47,800
+هو اللي جايه البطارية شغل البطارية شغلتها تنجو
+
+340
+00:22:47,800 --> 00:22:50,720
+الالكترون من الأعلى جهة دي لأقل جهة وتحطه حطته
+
+341
+00:22:50,720 --> 00:22:54,300
+هنا خلاص أنا سهل عليه بتنافعه من جهان اللي هي
+
+342
+00:22:54,300 --> 00:22:58,120
+شغلتها زي بالظبط بتعرفوا نفرت المية؟ شوفوها في
+
+343
+00:22:58,120 --> 00:23:02,560
+الجند المجهول هنا؟ ايش المية؟ على المية بتطلع ولا
+
+344
+00:23:02,560 --> 00:23:05,900
+في مطور؟ المطلوب إيش بيسوي؟ بينجول المية من فوق لـ
+
+345
+00:23:05,900 --> 00:23:11,340
+.. من تحت لفوق، في مطلوب فوق تنزلها تحت؟ تمام؟ إذا
+
+346
+00:23:11,340 --> 00:23:15,420
+طيب المية .. تقولكم المية جديدة؟ لأ، هي نفس المية،
+
+347
+00:23:15,420 --> 00:23:18,300
+هي نفس المية، بياخدها من تحت وبيطلحها، بياخدها من
+
+348
+00:23:18,300 --> 00:23:20,860
+تحت وبيطلحها، أول ما بيطلحها فوق تنزلها على، بيجي
+
+349
+00:23:20,860 --> 00:23:23,000
+نمسكها وبيطلحها، البطارية هي إيش بيسوي؟ إيش
+
+350
+00:23:23,000 --> 00:23:26,000
+بيسوي؟ بيقول لي هذا الإلكيون غصب العالم بيجي هان
+
+351
+00:23:26,000 --> 00:23:29,560
+بفئة قوة التجاذب، شباب، لكن إيش بيجيبوا منها اله
+
+352
+00:23:30,920 --> 00:23:33,620
+بيجي لحاله هيدا مرضه بقعده ساري بيبقى على الساري
+
+353
+00:23:33,620 --> 00:23:38,500
+بالليتوين بطبيعة حاله بيده ايد أو مطور ينجله من
+
+354
+00:23:38,500 --> 00:23:42,060
+هالهال إيش هو هذا المطور هو بطارية هاي شغل
+
+355
+00:23:42,060 --> 00:23:44,540
+البطارية مش فيه عندنا تبعادات كيميائية جوا شغل
+
+356
+00:23:44,540 --> 00:23:49,440
+البطارية في قوة دافعة كعربية بتدفع الليتوين من
+
+357
+00:23:49,440 --> 00:23:52,540
+هالهال أول ما يصل الهال يقول هيعطيك العافية البدا
+
+358
+00:23:52,540 --> 00:23:59,890
+بكمل الحاجة بروح بكمل طبعاوين هو؟ ومين جالك؟ هو
+
+359
+00:23:59,890 --> 00:24:04,610
+اللي عمله .. هو اللي عمله .. هو اللي .. في الأول
+
+360
+00:24:04,610 --> 00:24:10,070
+كان متعالج ابنى .. هكذا .. عجبش .. أول يحصل .. إجا
+
+361
+00:24:10,070 --> 00:24:13,770
+.. هاي الإلكترون .. رقع هنا .. صاحب السلم .. التاني
+
+362
+00:24:13,770 --> 00:24:18,310
+.. بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+363
+00:24:18,310 --> 00:24:19,710
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+364
+00:24:19,710 --> 00:24:19,870
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+365
+00:24:19,870 --> 00:24:19,910
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+366
+00:24:19,910 --> 00:24:30,330
+بيجي .. بيجي .. بيجي .. بيجي .. بيلما جهد الفطارية
+
+367
+00:24:30,330 --> 00:24:35,570
+صار جهد المكثف الصالبة صار مجادرة الفطارية عليها و
+
+368
+00:24
+
+401
+00:26:52,660 --> 00:26:55,960
+الأعلى جهود إلى الأعلى جهود الشحنات السالبة طبعا
+
+402
+00:26:56,790 --> 00:27:00,310
+تمام؟ هي ليش هي بتتعب بتخرّط؟ ممكن تبقى بتشتري
+
+403
+00:27:00,310 --> 00:27:04,030
+بتنقل شغلات معاكسة صح ولا .. هي بتنقل أمور معاكسة
+
+404
+00:27:04,030 --> 00:27:06,990
+عشان كلها بتخرّط بالآخر بس هذه قوة خلال ال wonder
+
+405
+00:27:06,990 --> 00:27:10,410
+energy هذه chemical energy بس لو انتقلنا هيك على
+
+406
+00:27:10,410 --> 00:27:14,970
+الطبيعة هذه العملية بطارية الجوال والشاحن هل الشاحن
+
+407
+00:27:14,970 --> 00:27:18,890
+بيكون اللي هو ال .. لأ الشاحن بيدي باتجاه المعاكس
+
+408
+00:27:18,890 --> 00:27:23,370
+أقول لك أنت لما توصلها تشحنها تصير وكأنك أنت عكست
+
+409
+00:27:23,370 --> 00:27:28,610
+وأنت بتُهدي هذه المكان ال .. مكان فيه؟ بطارية
+
+410
+00:27:28,610 --> 00:27:32,950
+معاكسة فبصير هنا ييجي من هان كفيت عليها؟ فبصير
+
+411
+00:27:32,950 --> 00:27:36,770
+هذه بتشحن هذه، وهذه بتشحن هذه بطارية ثانية و
+
+412
+00:27:36,770 --> 00:27:38,810
+أنت تتكلم ثانية عن أنت بصير عندك التوصيل هذه ولا
+
+413
+00:27:38,810 --> 00:27:44,380
+لأ عندك عندك ال breeze هي هذه، والجوان هو هذا مثال
+
+414
+00:27:44,380 --> 00:27:48,440
+إيه؟ والبطارية والبطارية فأنت لما تشحن تجيب اتجاه
+
+415
+00:27:48,440 --> 00:27:54,260
+المعاكس الشحن عملية معاكسة تمام أنا الآن هيك عندك
+
+416
+00:27:54,260 --> 00:27:57,080
+الجوال والبطارية ما كان الشحن مفصول هذه اللي
+
+417
+00:27:57,080 --> 00:28:00,440
+بيصغي عليه تمام طبعا البطارية لعيننا بتفضل بتعود
+
+418
+00:28:00,440 --> 00:28:03,600
+تنشحن لكن أنا هنا بقصد فيها بطارية الحاجة على
+
+419
+00:28:03,600 --> 00:28:06,540
+الراديو حاجة غير راضية وأنتم عارفين أن التركيبة أن
+
+420
+00:28:06,540 --> 00:28:10,420
+فيها تفاعلات كيميائية هي المسؤولة عن هذه الطاقة أن
+
+421
+00:28:10,420 --> 00:28:14,080
+من وين أجت هذه القوة دي؟ من وين هي القوة اللي تنقل؟
+
+422
+00:28:14,080 --> 00:28:17,980
+بقول هذه طاقة كيميائية أصلاً تمام بقول this process
+
+423
+00:28:17,980 --> 00:28:20,760
+continues for a short time until the potential
+
+424
+00:28:20,760 --> 00:28:23,540
+difference across the capacitor becomes equal to
+
+425
+00:28:23,540 --> 00:28:26,160
+the potential difference of the battery يعني في
+
+426
+00:28:26,160 --> 00:28:28,680
+النهاية بيقول اللي لازم جهود يتساوى وإلا بيضلّها
+
+427
+00:28:28,680 --> 00:28:35,300
+شحنات تتحرك تمام هذا النوع الأول هو الوحيد اللي
+
+428
+00:28:35,300 --> 00:28:39,340
+طالبين منكم شباب تحفظه قيمته اللي هو C بيساوي Y
+
+429
+00:28:39,340 --> 00:28:42,940
+Note A على D C بيساوي Y Note A على D مطلوب مننا
+
+430
+00:28:42,940 --> 00:28:46,420
+نحفظها لأنه هذا أشهر أنواع ال Capacitors وبالتالي
+
+431
+00:28:46,420 --> 00:28:51,120
+بدنا نحفظ جديد C تبعته إنه أنا التانين مش هنحفظ
+
+432
+00:28:51,120 --> 00:28:55,000
+نتائجهم اللي هو ال spherical و ال cylindrical طبعا
+
+433
+00:28:55,000 --> 00:29:00,020
+ال spherical شباب سهلة يسمّونه سفير كالكباسيتر؟
+
+434
+00:29:00,020 --> 00:29:03,100
+عبارة عن two conductors بينهم مادة عازلة، ال
+
+435
+00:29:03,100 --> 00:29:06,160
+conductor الأول سفير والconductor الثاني سفير،
+
+436
+00:29:06,160 --> 00:29:07,520
+عشان كده يسمّونه سفير كالconductor
+
+437
+00:29:10,000 --> 00:29:14,640
+spherical capacitor تحتوي على 2 شحنات موجبة و أزرق
+
+438
+00:29:14,640 --> 00:29:24,000
+شحنات سالبة تحتوي على 2
+
+439
+00:29:24,000 --> 00:29:30,680
+شحنات موجبة و أزرق شحنات سالبة تحتوي على 2 شحنات
+
+440
+00:29:30,680 --> 00:29:36,190
+موجبة و أزرق شحنات سالبة طبعا في نوع ثالث ال
+
+441
+00:29:36,190 --> 00:29:38,930
+cylindrical capacitor بس عشان ت .. منين يقول لي ايش
+
+442
+00:29:38,930 --> 00:29:42,050
+مثال ع ال cylindrical capacitor؟ بتوصل أندرس جوا
+
+443
+00:29:42,050 --> 00:29:48,630
+بعيد هذه ما بتستخدموه كل يوم سلك
+
+444
+00:29:48,630 --> 00:29:51,890
+اللي رابط من ال dish ل ال .. ل ال receiver إيش هو
+
+445
+00:29:51,890 --> 00:29:57,520
+هذا؟ فجأة أنتوا حقا قشطتوه وعملتوه مش فيه ال .. ال
+
+446
+00:29:57,520 --> 00:30:00,940
+.. المركزي هذا اللي بيخش جوه هذا conductor وفيه
+
+447
+00:30:00,940 --> 00:30:04,420
+وسط عازل هو ال plastic وحواليه شبك الشبكة هذه ال
+
+448
+00:30:04,420 --> 00:30:07,900
+cylinder الثانية فعندك cylinder صغيرة أو cylinder
+
+449
+00:30:07,900 --> 00:30:11,520
+كبيرة من الشبك بينهم وسط عازل هو ال plastic هذا
+
+450
+00:30:11,520 --> 00:30:15,320
+cylindrical capacitor وهذا ال spherical capacitor
+
+451
+00:30:15,320 --> 00:30:20,040
+طبعا كام بدأ يجيبها؟ كانوا نفس العملية C بالساوية Q
+
+452
+00:30:20,040 --> 00:30:25,130
+على V الـ Q معطاة ولي مش معطاة هذا اللي عليك تجيب
+
+453
+00:30:25,130 --> 00:30:30,110
+V يا عم رودي سهلة تجيب V حاجة V هذه هي فرق الجهد ب
+
+454
+00:30:30,110 --> 00:30:35,450
+two conductors لما بيجيبها شباب بساوي سالب من
+
+455
+00:30:35,450 --> 00:30:39,570
+initial ل final E dot dl شوف أنا كتبت من initial ل
+
+456
+00:30:39,570 --> 00:30:42,890
+final لأن هذه أصلها delta V صح ولا لأ؟ هذه أصلها
+
+457
+00:30:42,890 --> 00:30:47,190
+delta V طب وين ال initial وين ال final؟ حاجة V بين
+
+458
+00:30:47,190 --> 00:30:52,680
+يومين من A ل B هي بين ال two conductors يعني أنا
+
+459
+00:30:52,680 --> 00:30:56,360
+بدي E لأيّ منطقة هذه أي E اللي برا خالص واللي جوه
+
+460
+00:30:56,360 --> 00:31:00,700
+خالص واللي بينهم اللي بينهم بس بدي E اللي بينهم
+
+461
+00:31:00,700 --> 00:31:03,940
+طب فجر أجيب E اللي بينهم بقول لي اه بواسط قانون جوس
+
+462
+00:31:03,940 --> 00:31:09,700
+بنص طب بتجيبها تجيب E بواسط قانون جوس تحطه هنا يطلع
+
+463
+00:31:09,700 --> 00:31:12,220
+النتيجة وكمل وخلاص يطلع النتيجة وبعد النتيجة
+
+464
+00:31:12,220 --> 00:31:14,380
+عشان في إيها شغلات مش هخلصها الآن
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fda2776cc290c9490710aabb016c117394e133a8
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_postprocess.srt
@@ -0,0 +1,1856 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,470 --> 00:00:15,290
+بسم الله الرحمن الرحيم ونبدأ الشابتر الرابع
+
+3
+00:00:15,290 --> 00:00:20,030
+الشابتر الرابع عنوانه capacitance and dielectrics
+
+4
+00:00:20,030 --> 00:00:24,030
+هذا الشابتر هو اخر شابتر بتعلق بالكهربية الساكنة
+
+5
+00:00:24,030 --> 00:00:28,670
+شباب بعد كده هنخش بالكهربية الديناميكية المتعركة
+
+6
+00:00:28,670 --> 00:00:31,870
+هذا الشابتر اخر حاجة بتعلق بالكهربية الساكنة
+
+7
+00:00:31,870 --> 00:00:38,230
+capacitance هي السعةالسعة اللى بترتبط بالمكثفات
+
+8
+00:00:38,230 --> 00:00:43,450
+and die electrics هي المادة العازلة اللى جوا
+
+9
+00:00:43,450 --> 00:00:48,850
+الكاباسيتر بيسموها die electrics تمام طبعا زى ما
+
+10
+00:00:48,850 --> 00:00:51,470
+بنعمل دايما ال recommended programs اللى مفروض
+
+11
+00:00:51,470 --> 00:00:55,790
+موجود عندكم لكل الشباتر في sheet كامل موجود في ال
+
+12
+00:00:55,790 --> 00:01:00,110
+outlines أنا مديكميها من أول لكن هذا للتأكيد وفي
+
+13
+00:01:00,110 --> 00:01:04,130
+إعادة إفادة مش أكتر بس الكل بتحلوهم يا رب
+
+14
+00:01:13,190 --> 00:01:17,390
+واحد تلاتة خمسة تسعة .. واحد تلاتة المظبوط .. هو
+
+15
+00:01:17,390 --> 00:01:20,350
+تسعة وخمسين مش موجودة .. مش موجودة أصلا .. كانت
+
+16
+00:01:21,960 --> 00:01:25,300
+الشباب نبدأ اول section هو ال capacitance السعة
+
+17
+00:01:25,300 --> 00:01:30,400
+طبعا احنا انا capacitor هو المكثف الكعبائي
+
+18
+00:01:30,400 --> 00:01:34,100
+capacitor مرات نسموه condenser لأن اسم التجار
+
+19
+00:01:34,100 --> 00:01:37,700
+يقيله condenser طبعا condens أقرب لغوية لكلمة
+
+20
+00:01:37,700 --> 00:01:41,320
+تكثيف مكثف صح ولا لأ؟ condenser لكن اسم العلم
+
+21
+00:01:41,320 --> 00:01:46,320
+يقيله capacitor او condenser اسم التجار يقيله
+
+22
+00:01:46,320 --> 00:01:49,380
+condenser
+
+23
+00:01:49,380 --> 00:01:56,180
+طبعا اسم التجار يقيلههو جهاز كهربائي يتكون من
+
+24
+00:01:56,180 --> 00:02:02,060
+اتصالين كوندكتور و كوندكتور
+
+25
+00:02:02,060 --> 00:02:05,720
+بينهم مادة عازلة كوندكتور و كوندكتور بينهم مادة
+
+26
+00:02:05,720 --> 00:02:10,460
+عازلة بس هاي تعريفه هذا جهاز كهربائي ايش مهمته؟
+
+27
+00:02:10,460 --> 00:02:15,240
+جلي مهمته يخزين شحناتمهمته يخزن شحنات وإذا خزن
+
+28
+00:02:15,240 --> 00:02:18,220
+شحنات يعني خزن طاقة كهربائية وانا هى اللى بهمنى في
+
+29
+00:02:18,220 --> 00:02:21,860
+النهاية بدي طاقة كل أمور الدنيا متعلقة بالطاقة
+
+30
+00:02:21,860 --> 00:02:27,040
+بيقول ال capacitors are used to store charges عشان
+
+31
+00:02:27,040 --> 00:02:30,280
+يتخزن charges and consequently وبالتالي
+
+32
+00:02:30,280 --> 00:02:33,840
+electrostatic energy all the charges مش بدي أصورها
+
+33
+00:02:33,840 --> 00:02:37,640
+بدي أخد ال energy لجواها أنا بهمنى ال energy تمام
+
+34
+00:02:39,320 --> 00:02:44,580
+عندما نقول إن الكبسيطر لديه كبسيطر Q نشعله بكبسيطر
+
+35
+00:02:44,580 --> 00:02:51,240
+Q. كبسيطر Q. كبسيطر Q. كبسيطر Q. كبسيطر Q. كبسيطر
+
+36
+00:02:51,240 --> 00:03:02,780
+Q.
+
+37
+00:03:03,010 --> 00:03:06,270
+بش بيخشوا بعض؟ اذا بيبطل ال capacitor عشان كده
+
+38
+00:03:06,270 --> 00:03:09,570
+ممنوع يكون الوسط اللي جوا conductor ولي ببطل ولي
+
+39
+00:03:09,570 --> 00:03:12,090
+الصفر المصيفات اللي جوا ال capacitor الموجودة لإن
+
+40
+00:03:12,090 --> 00:03:14,990
+ال capacitor بيقوللي بدك تبعده مع بعض هذا Q و هذا
+
+41
+00:03:14,990 --> 00:03:18,490
+سبب Q إذا حط سلك بينهم فليك كيف بتفضل ال
+
+42
+00:03:18,490 --> 00:03:21,410
+capacitor؟ وصلهم بعض طبعا لما توصلهم مع بعض صار
+
+43
+00:03:21,410 --> 00:03:24,710
+capacitor بطل capacitor لما تحطوا بينهم سلك سلي
+
+44
+00:03:24,710 --> 00:03:29,860
+وسط اللي بينهم conductorمن أول انتهدأت أهم صفة في
+
+45
+00:03:29,860 --> 00:03:33,180
+الـ Capacitor لأن بينهم Insulator راح و احنا لما
+
+46
+00:03:33,180 --> 00:03:35,920
+نقول ال Capacitor انحرج انت عارفين ايش معانا
+
+47
+00:03:35,920 --> 00:03:41,420
+انحرج؟ لأن الوسط اللي جوا بطل Insulator اتأين و
+
+48
+00:03:41,420 --> 00:03:44,180
+لما اتأين بصير الوسط اللي جوا Convectorسار موسيقى
+
+49
+00:03:44,180 --> 00:03:46,560
+إذا بطل ال conductor و رميها في الزبالة بطل رميها
+
+50
+00:03:46,560 --> 00:03:49,600
+كاباسيتر خلاص انه ينحرج لانحرج المادة الوسطى اللى
+
+51
+00:03:49,600 --> 00:03:52,600
+بينهم شباب هذه اللى بتطلع ريحة عشان كده بيكتبوا
+
+52
+00:03:52,600 --> 00:03:57,240
+عند أي كاباسيتر أعلى جهد ممكن تحطه عليه ليش؟ مش
+
+53
+00:03:57,240 --> 00:04:00,620
+عشان ال conductors بعيطه لما يخشوا على الجهد لأ
+
+54
+00:04:00,620 --> 00:04:03,600
+عشان ال insulators اللى ليهوا بتأينوا عند هذا
+
+55
+00:04:03,600 --> 00:04:08,450
+الجهد بتحملوش لإن المادة الوسطىبصير كوندكتر تتأين
+
+56
+00:04:08,450 --> 00:04:11,150
+وبتتحملش وبتبطل ال insulator وبالتالي هذا ال
+
+57
+00:04:11,150 --> 00:04:14,270
+capacitor لايتحمل هذا الجود اول ما تحطه بتطلع ليه
+
+58
+00:04:14,270 --> 00:04:16,530
+تبطل في نفس الكوه وبتحطه في الزبالة بيبطل أي
+
+59
+00:04:16,530 --> 00:04:21,860
+capacitor at all تماماذا بيقولي when we said a
+
+60
+00:04:21,860 --> 00:04:24,920
+capacitor has a charge capital Q we mean that one
+
+61
+00:04:24,920 --> 00:04:28,080
+of the conductors has a charge capital Q and the
+
+62
+00:04:28,080 --> 00:04:32,280
+other has a charge minus Q ال total Q جديش؟ Zero
+
+63
+00:04:32,280 --> 00:04:36,320
+ال total Q زيرو لكن بيقوله شحن لإن ال total charge
+
+64
+00:04:36,320 --> 00:04:40,080
+is zero بيقوله شحن لإن واحد فيه Q و التاني ايش سبب
+
+65
+00:04:40,080 --> 00:04:43,540
+Q بعض عن بعض هذا لحالة و هذا لحالة عشان كده بيدرسي
+
+66
+00:04:43,540 --> 00:04:46,820
+تقول Zero لإن هو مش conductor واحد تمام؟ حلو؟
+
+67
+00:04:48,470 --> 00:04:51,070
+الكواندكترات عادة تكون لديها ايقال و لكن مقارنة
+
+68
+00:04:51,070 --> 00:04:53,310
+بسيطة لكي تكون مقارنة بسيطة لكي تكون مقارنة مقارنة
+
+69
+00:04:53,310 --> 00:04:53,930
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+70
+00:04:53,930 --> 00:04:55,850
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+71
+00:04:55,850 --> 00:04:55,970
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+72
+00:04:55,970 --> 00:05:04,830
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+73
+00:05:04,830 --> 00:05:11,630
+مقارنة مقارنة مقارنة مقارنة م
+
+74
+00:05:16,620 --> 00:05:21,860
+E مجال كهربائي و V جهود كهربائي الـQ شحنة صح ولا
+
+75
+00:05:21,860 --> 00:05:27,340
+لأ؟ الـC كمية فيزيائية جيدة بتعني ساعة المكثف
+
+76
+00:05:27,340 --> 00:05:32,240
+الـcapacity of a capacitor عرفوها is defined as
+
+77
+00:05:32,240 --> 00:05:37,340
+the ratio of the magnitude of the charge Q on
+
+78
+00:05:37,340 --> 00:05:38,660
+either conductors
+
+79
+00:05:48,010 --> 00:05:50,870
+على فرق الجهد بين الانتقالات بين الانتقالات
+
+80
+00:05:50,870 --> 00:05:54,670
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+81
+00:05:54,670 --> 00:05:54,790
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+82
+00:05:54,790 --> 00:05:55,270
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+83
+00:05:55,270 --> 00:05:55,650
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+84
+00:05:55,650 --> 00:05:55,690
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+85
+00:05:55,690 --> 00:05:56,450
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+86
+00:05:56,450 --> 00:06:00,450
+والانتقالات والانتقDelta V كل كده بيبقى فيك حط
+
+87
+00:06:00,450 --> 00:06:04,210
+Delta Delta Delta تغلبني هذه حط V وحط جوه المخيلة
+
+88
+00:06:04,210 --> 00:06:08,490
+عندك ان هذه فرق جهود مش جهود فاهمينش بعد؟ هي أصلا
+
+89
+00:06:08,490 --> 00:06:13,730
+فرق جهود ولكن من يوم ما طالع فرق الجهود بدي أرمض
+
+90
+00:06:13,730 --> 00:06:19,630
+وجه V و أستغني عن Delta لفة بسيط هي اللي احنا
+
+91
+00:06:19,630 --> 00:06:26,030
+بنقول لبريز جديش الجهودفرق جهود ولا جهود؟ فرق جهود
+
+92
+00:06:26,030 --> 00:06:29,530
+لكن ما نوصل برنامج V تمام هو فرق جهود بين أي نقطين
+
+93
+00:06:29,530 --> 00:06:33,230
+لما أنا أوصل المكوية هي فرق جهود بين سلكين المكوية
+
+94
+00:06:33,230 --> 00:06:36,110
+ولا لأ هي فرق جهود لكن خلاص قالك أنت فرق جهود فرق
+
+95
+00:06:36,110 --> 00:06:39,170
+جهود فانت من الجد ما زال أنت عارف أنه فرق جهود حط
+
+96
+00:06:39,170 --> 00:06:43,190
+V وخلاص فمن اليوم اللي طالع V الآن بيكون فرق جهود
+
+97
+00:06:43,190 --> 00:06:46,650
+مش جهود شباب تمام؟to the magnitude of the
+
+98
+00:06:46,650 --> 00:06:48,850
+potential difference فرق الجهد between them
+
+99
+00:06:48,850 --> 00:06:52,050
+donated year after by V من يوم ما طالع الحيوانات
+
+100
+00:06:52,050 --> 00:06:54,570
+year after من يوم ما طالع ال data V بدي أخد نزلة
+
+101
+00:06:54,570 --> 00:06:59,370
+بالرمز V و بسو 4 شباب تمام IE ايش التعليف بيقولي؟
+
+102
+00:06:59,370 --> 00:07:03,090
+C بالساعة كبتر ال Q على كبتر ال V هجيت فرق الجهد
+
+103
+00:07:03,090 --> 00:07:06,350
+ممكن تكون موجبة و ممكن تكون سالب؟ صح و ال Q ممكن
+
+104
+00:07:06,350 --> 00:07:09,030
+تكون موجبة و ممكن تكون سالب؟ هجيت انت بتقولك خد ال
+
+105
+00:07:09,030 --> 00:07:11,990
+Q موجبة و لا سالب الجهد طلع موجبة و لا سالب في
+
+106
+00:07:11,990 --> 00:07:15,550
+الآخر تاخد ايش؟ أبسولت راليو ولا عمار كنت سمعت عند
+
+107
+00:07:15,550 --> 00:07:19,030
+جزازة ساعتها سالبة؟ مافيش الساعة بتقنفعش تكون
+
+108
+00:07:19,030 --> 00:07:22,450
+سالبة تمام؟ ماهي الساعة خلاص الساعة ده ماهي موجبة
+
+109
+00:07:22,450 --> 00:07:27,880
+حلو هى الساعة كدهش واحدتها؟كلهم على volt فبعد ساعة
+
+110
+00:07:27,880 --> 00:07:33,080
+برضه صارت كمية تجارية هجي تروح انت لاقي واحد تسمه
+
+111
+00:07:33,080 --> 00:07:36,300
+تاجر ولا واحد بيبيه يقوله اه جيجي ليه جيبلي مكثف
+
+112
+00:07:36,300 --> 00:07:43,140
+كذا فاراد بديكيه اذا معناته صارت لغة تجارية وصارت
+
+113
+00:07:43,140 --> 00:07:47,000
+مشهورة زي ال volt فتدوها وحدة هي الفاراد وهي
+
+114
+00:07:47,000 --> 00:07:51,830
+بتساوي كلهم على voltThe capacitance is always a
+
+115
+00:07:51,830 --> 00:07:54,870
+positive quantity لأنه سعة، لا يمكن أن تكون
+
+116
+00:07:54,870 --> 00:07:57,990
+نيجاتيف.Thus, a unit of capacitance C is column
+
+117
+00:07:57,990 --> 00:08:02,390
+per volt.هذه أصلها.This unit is referred as فراد
+
+118
+00:08:02,390 --> 00:08:06,530
+.That is واحد فراد مستوى واحد كلهم على بولت.سهل.Is
+
+119
+00:08:06,530 --> 00:08:11,090
+MC لها خاصة؟ أه.الفراد وحدية إيه يا شباب؟السعة.ال
+
+120
+00:08:11,090 --> 00:08:14,870
+capacitance.حلو.علاقاتها بالكلوم والولت معروفة من
+
+121
+00:08:14,870 --> 00:08:21,490
+قلوها الأصلي.تمام.كيف بدي احسبها؟ كيف بدي احسبها؟
+
+122
+00:08:21,490 --> 00:08:24,610
+جالي احسبها لما انت اعرفتها مش بساوي كيوع فرق جهود
+
+123
+00:08:24,610 --> 00:08:27,750
+طب فرق الجهود لما انت شافتها من الماضي علمتي كيف
+
+124
+00:08:27,750 --> 00:08:30,550
+اجيب فرق الجهود من نقطين ولا لا شباب لما بيقول
+
+125
+00:08:30,550 --> 00:08:34,030
+التكامل من من نقطة لنقطة اذا نشتغل على هذا الاساس
+
+126
+00:08:34,030 --> 00:08:37,470
+calculation of capacitance كي بدت تحسب ال
+
+127
+00:08:37,470 --> 00:08:42,230
+capacitance ينساش انه في المحلات في عنده حد عنده
+
+128
+00:08:42,230 --> 00:08:46,860
+هواية الأجهزة الكهربائية شبابيعني غسلات و
+
+129
+00:08:46,860 --> 00:08:50,720
+تلفزيونات و مسجلات هذه الكباسيطار بتلاقيها في كل
+
+130
+00:08:50,720 --> 00:08:54,040
+جهاز انت قرأت لو اتروحت عند واحد من برج جهو هنا
+
+131
+00:08:54,040 --> 00:08:57,080
+بيبيع أجهزة كرمأية صغيرة غير الجرو بيبيع الأجهزة
+
+132
+00:08:57,080 --> 00:09:00,020
+الغسلات و الشغلات في واحد تاني بتروح تقول والله
+
+133
+00:09:00,020 --> 00:09:04,680
+بدي كباسيطارنفترض عشرة ميكروفيرات بتطلع حطتهم في
+
+134
+00:09:04,680 --> 00:09:07,640
+سلة اكتار بتطلع عليهم بيديك واحد مكتوب عليها عشرة
+
+135
+00:09:07,640 --> 00:09:11,500
+ميكروفيرات طب هو إذا السعة محسوبة و لا مش محسوبة؟
+
+136
+00:09:11,500 --> 00:09:14,280
+محسوبة و مكتوبة طب كيف حسبوها؟ بنتعلم كيف تنحسب
+
+137
+00:09:14,280 --> 00:09:17,560
+السعة لأنها مكتوبة على كل واحد زي ال .. زي
+
+138
+00:09:17,560 --> 00:09:21,540
+المقاومات خدتوا في المختبر بالألوان تحسب ولا لا؟
+
+139
+00:09:21,540 --> 00:09:23,880
+طبعا المقاومات وانت خدتوا في المدارس تعتمد على
+
+140
+00:09:23,880 --> 00:09:28,040
+الطول وعنه علمات ده صح ولا لا ونسخطرها؟ أه و سمكان
+
+141
+00:09:28,040 --> 00:09:32,180
+نسخطرها يعنيبقول إن في عدة أنواع لـ Capacitors فى
+
+142
+00:09:32,180 --> 00:09:37,740
+عندي تلاتة مشهورين فى أشهرهم Pile Plate Capacitor
+
+143
+00:09:37,740 --> 00:09:41,400
+كيف رمز الـ Capacitor فى الدواء الكهرباى ياخدوها؟
+
+144
+00:09:41,400 --> 00:09:46,280
+عصالتين صح ولا .. هذه العصاية خط ولا .. ولا صفيحة؟
+
+145
+00:09:46,280 --> 00:09:49,980
+صفيحة هي أصلها هاي ال Capacitor هاي Pile Plate
+
+146
+00:09:49,980 --> 00:09:52,520
+Capacitor يا شباب الرمز إجا من هذا ال Capacitor
+
+147
+00:09:52,520 --> 00:09:57,000
+جالك حط صفيحة أكبر صفيحة و أنا أحط خط أكبر خط هاي
+
+148
+00:09:57,000 --> 00:10:01,670
+الصفيحةوهي كبير صفيحة هذا conductor وهذا conductor
+
+149
+00:10:01,670 --> 00:10:05,250
+بينهم مرهوة وهي وسط عزل وهي ال capacitor طبعا هذا
+
+150
+00:10:05,250 --> 00:10:09,730
+مش خط شباب هيه و هيه فانتوا عليها شباب أشهرهم برا
+
+151
+00:10:09,730 --> 00:10:13,490
+ال place capacitor ال place مقاتل صفيحة إذا ال
+
+152
+00:10:13,490 --> 00:10:17,310
+capacitor بالصفيحتين المتوازيتين هذا أشهرهم جال
+
+153
+00:10:17,310 --> 00:10:22,670
+يرسم عشان نعرف نشتغل جال هذا هو صفيحة فجأة صفيحة
+
+154
+00:10:22,670 --> 00:10:27,220
+تمام؟ لما نرسمهاالكباسيتر يكون من اتجاه اتجاه
+
+155
+00:10:27,220 --> 00:10:28,440
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+156
+00:10:28,440 --> 00:10:30,840
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+157
+00:10:30,840 --> 00:10:36,560
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+158
+00:10:39,480 --> 00:10:43,340
+of equal area a تتنجب بعض حطهم separated by a
+
+159
+00:10:43,340 --> 00:10:47,280
+distance d and immersed in vacuum هو انا غمرهم في
+
+160
+00:10:47,280 --> 00:10:50,200
+ال vacuum في الهواء يعني وسط اللي بينهم ايش؟ هواء
+
+161
+00:10:50,200 --> 00:10:53,860
+و هواء وسط عزل ولا لا؟ وسط عزل هذا هو شرط ال
+
+162
+00:10:53,860 --> 00:10:57,780
+conductor الفوق أحمر موجب و اللي تحت أزرق سالب
+
+163
+00:10:57,780 --> 00:11:01,440
+تمام زي ما احنا شعنتم قال لي خليني احطهم هيك هال
+
+164
+00:11:01,440 --> 00:11:04,990
+gate زي الرسمة تبعتهم الحلوة تمام؟انت بدأت تجيب
+
+165
+00:11:04,990 --> 00:11:07,970
+الجهد والجهد بيجي من المجال اصلا من المجال خطوط
+
+166
+00:11:07,970 --> 00:11:11,990
+المجال من الموجب للسالب ولا لأ ه من الموجب للسالب
+
+167
+00:11:11,990 --> 00:11:15,790
+المسافة اللي بينهم دي high positive شايفين
+
+168
+00:11:15,790 --> 00:11:18,390
+positive اللي ها وهذا negative طبعا الألوان بتعطيك
+
+169
+00:11:18,390 --> 00:11:20,750
+positive و negative وبالتالي خطوط المجال بتروح من
+
+170
+00:11:20,750 --> 00:11:23,750
+positive ل negative طبعا انا رسمتها خطوط متوازية
+
+171
+00:11:23,750 --> 00:11:27,090
+شباب تمام قد ما تشوف ايش البرس في معانا بيقول if
+
+172
+00:11:27,090 --> 00:11:30,780
+the separation دي شايفين المسافة ديE is small
+
+173
+00:11:30,780 --> 00:11:34,340
+compared to the size of the blades إذا كانت D
+
+174
+00:11:34,340 --> 00:11:38,580
+صغيرة، بتقدر تقول كل نقطة جوا تعتبر just outside a
+
+175
+00:11:38,580 --> 00:11:43,440
+conductor؟ جراب عبارة شداد، هاي معناه دي small،
+
+176
+00:11:43,440 --> 00:11:46,420
+جراب عبارة كتير، أي نقطة جوا بتقدر تعتبرها just
+
+177
+00:11:46,420 --> 00:11:50,020
+outside a conductor؟ مش قريبة a conductor؟ just
+
+178
+00:11:50,020 --> 00:11:54,140
+outside a conductor، إذا E is perpendicular to the
+
+179
+00:11:54,140 --> 00:11:58,220
+surface and equal to؟سيجما علي ابسل نوت ليه زيرو
+
+180
+00:11:58,220 --> 00:12:01,680
+just outside a conductor equal to sigma علي ابسل
+
+181
+00:12:01,680 --> 00:12:07,380
+نوت مش زيرو اذا بقوله if the separation d is small
+
+182
+00:12:07,380 --> 00:12:10,480
+compared to the size of the place we can assume
+
+183
+00:12:10,480 --> 00:12:14,000
+that any point inside the conductor the capacitor
+
+184
+00:12:14,000 --> 00:12:17,480
+sorry is very close to a conductor بتكون جريبة
+
+185
+00:12:17,480 --> 00:12:21,690
+كتير على conductor يعني just outside a conductorفي
+
+186
+00:12:21,690 --> 00:12:25,210
+هذه الحالة بيقوللي E بتساوي sigma على epsilon نقطة
+
+187
+00:12:25,210 --> 00:12:29,470
+دي بتقيمة E طب E sigma على epsilon نقطة sigma
+
+188
+00:12:29,470 --> 00:12:33,010
+ثابتة و epsilon نقطة ثاكتر صح ولا لأ اذا معناته
+
+189
+00:12:33,010 --> 00:12:35,830
+انت بتشتغل معي uniform electric field عشان كده
+
+190
+00:12:35,830 --> 00:12:39,050
+رسمت خطوط متوازية طبعا هو الصح اني لما اجرب على
+
+191
+00:12:39,050 --> 00:12:43,750
+حواف شباب هدي تقوش فالنص بيكون uniform لكن على
+
+192
+00:12:43,750 --> 00:12:47,070
+الحواف لأ بس انا بدي اعتبر ان الحواف هدول ابعد عني
+
+193
+00:12:47,070 --> 00:12:52,360
+و انا اخدي جزء من الأطراف بس المشكلةأنا كيف دي
+
+194
+00:12:52,360 --> 00:12:54,360
+باستجمع على epsilon note أصلا باستخدام قانون جاوس
+
+195
+00:12:54,360 --> 00:12:57,300
+ولا لأ؟ وقانون جاوس لما طبقته قولت فيل ونملة ولا
+
+196
+00:12:57,300 --> 00:13:00,840
+لأ؟ و .. و .. و النملة شايفة حواف الفيل؟ ماقلنا
+
+197
+00:13:00,840 --> 00:13:03,120
+محيط الفيل بالنسبالي لأ، مانفعش أبدأ عندي الحواف
+
+198
+00:13:03,120 --> 00:13:05,780
+اللي .. كل القانون اللي انا استغلت عليه كل برنامج
+
+199
+00:13:05,780 --> 00:13:08,440
+صحيح، وذاكر إنه لما قلنا عندي الحواف بيصير هيك مش
+
+200
+00:13:08,440 --> 00:13:11,220
+شالك المجال، بطل هيك، تمام؟ فعندي الحواف اللي
+
+201
+00:13:11,220 --> 00:13:15,670
+بيصير في عنده، بيه رسمات على هذه القضية، تمام؟لأ
+
+202
+00:13:15,670 --> 00:13:22,230
+ان المجال خارج الكباسيتر لا يوجد فيه مجال ولا هنا
+
+203
+00:13:22,230 --> 00:13:24,750
+فيه مجال ليش؟ بيقول ما هو المجال ببدأ من هنا و
+
+204
+00:13:24,750 --> 00:13:27,990
+بخلص هنا ببدأ هنا و بخلص هنا طب انا بدي اديكم شغلة
+
+205
+00:13:27,990 --> 00:13:31,590
+تانية جيلي كيف بدي انا ارسمها يعني اثبتها غير هيك
+
+206
+00:13:31,590 --> 00:13:37,390
+اثبات؟ جيلي حلو نقطة المجال من هنا جاية من الحمراء
+
+207
+00:13:37,390 --> 00:13:42,140
+ولا من الحمراء والزرقاء؟النقطة هادى المجال جاى من
+
+208
+00:13:42,140 --> 00:13:45,140
+الحمرة بس و لا من الحمرة و الزرقال ماشينا فيه
+
+209
+00:13:45,140 --> 00:13:48,020
+شحنات و مينا فيه شحنات طب خلّينا نشتغل كل واحد
+
+210
+00:13:48,020 --> 00:13:51,440
+لحالي شباب اجيب الحمرة لحالي و الزرقال لحالي نبدأ
+
+211
+00:13:51,440 --> 00:13:57,080
+بالحمرة هاى الرد عشان انا ماعيش كلام الا رد خاطف
+
+212
+00:13:57,080 --> 00:14:03,100
+المجال هادى red positive كيف بيكون صحيك شباب مشاكل
+
+213
+00:14:03,100 --> 00:14:09,040
+خاطف المجال طيب هادى blue لحالها هجيتفي هذه اللقطة
+
+214
+00:14:09,040 --> 00:14:13,400
+just outside لأ مش just outside جبتها ل ال plate
+
+215
+00:14:13,400 --> 00:14:16,680
+تذكرين الورقة اللي حلناها في جوز ال surface طلعت E
+
+216
+00:14:16,680 --> 00:14:20,100
+بتساوي سيجما على epsilon note بس هنا حطيت اتنين
+
+217
+00:14:20,100 --> 00:14:24,860
+ايامها هذه E ل plate واحدة E ل plate واحدة في جوز
+
+218
+00:14:24,860 --> 00:14:28,300
+ال surface حليتها انا وياكم لما جبت الورقة وحطيت
+
+219
+00:14:28,300 --> 00:14:32,260
+الستوانة وخرجنا الورقة وظننا يستلقى طلعتك النتيجة
+
+220
+00:14:32,980 --> 00:14:37,280
+هذه بس الحمرة قال لي حلو جيبي الزرقاء هي دم اجيبي
+
+221
+00:14:37,280 --> 00:14:42,540
+الزرقاء شباب هذي ال blue انسى الحمرة مش موجودة
+
+222
+00:14:42,540 --> 00:14:47,220
+الحمرة ال blue موجودة ولا سالبة كيف خطها بدو يكون
+
+223
+00:14:47,220 --> 00:14:52,400
+صح
+
+224
+00:14:52,400 --> 00:14:55,900
+ولا لأ جدش ايه دلوقتي نفس العملية بس انت مايعرفش
+
+225
+00:14:55,900 --> 00:14:59,880
+انه يتغير تفهم ياراه هجيتي جيبلي المجال هجيتي
+
+226
+00:14:59,880 --> 00:15:05,000
+المجال أكم خطهنا و هنا زي بعض ولا عكس بعض ايش
+
+227
+00:15:05,000 --> 00:15:11,300
+بيصير فيهم طب هنا و هنا نفس بعض ولا لا سيجما على
+
+228
+00:15:11,300 --> 00:15:18,480
+تين ابسل نوت و سيجما على تين ابسل نوت طب هنا كده
+
+229
+00:15:18,480 --> 00:15:24,290
+ايش؟ Zeroهي انا جبتها بطريقة تانية بيقولي not that
+
+230
+00:15:24,290 --> 00:15:26,670
+the electric field outside the capacitor is zero
+
+231
+00:15:26,670 --> 00:15:31,230
+بيقولي why؟ غاضح ليش why لأنه بيلغوا بعض بس جوا
+
+232
+00:15:31,230 --> 00:15:36,030
+بيلغوش بعض بيجمعوا بيصير نص سيجما علي ابسلون نوت و
+
+233
+00:15:36,030 --> 00:15:38,530
+نص سيجما علي ابسلون نوت بتطلع عندي سيجما علي
+
+234
+00:15:38,530 --> 00:15:43,510
+ابسلون نوت المهم طلعتها سيجما علي ابسلون نوت هي
+
+235
+00:15:43,510 --> 00:15:46,610
+ايه هنا سفر و ايه هنا سفر و انا سبتها انا و اياكم
+
+236
+00:15:46,610 --> 00:15:51,170
+تمامThe value of the electric field inside the
+
+237
+00:15:51,170 --> 00:15:54,370
+capacitor is therefore uniform and equal to سجما
+
+238
+00:15:54,370 --> 00:15:58,150
+علي أبسلون نوت عرفنا، صح ولا لأ؟ الآن، with سجما
+
+239
+00:15:58,150 --> 00:16:01,170
+بالساقية علي أيه؟ ولا نسيناها هذه؟ الشحنات مين
+
+240
+00:16:01,170 --> 00:16:06,450
+محطوطة هم؟ على السطح، على السطح أيش؟ البنية، يعني
+
+241
+00:16:06,450 --> 00:16:10,610
+ال area هذه، مساحة مين؟ بيصير في خطأ دايما عن
+
+242
+00:16:10,610 --> 00:16:13,970
+الشباب، بيقولي هي ال capacitor، رجعنا، بفكروا ال
+
+243
+00:16:13,970 --> 00:16:18,770
+area هذهلأ مش هذه .. هذا قطة ولا بليت؟ بليت، هذه
+
+244
+00:16:18,770 --> 00:16:23,530
+مساحة البليت، واضح؟ لأن الشحنات هناك، تانى ده
+
+245
+00:16:23,530 --> 00:16:26,830
+potential difference هذي P D potential difference
+
+246
+00:16:26,830 --> 00:16:30,630
+فرق جهد بدي أجيب، مش انا بدي C في الأخر شباب بصير
+
+247
+00:16:30,630 --> 00:16:34,110
+Q على D الشكل النتجة، انا بدي أحسب C من هذا
+
+248
+00:16:34,110 --> 00:16:39,090
+القانون، فبديها دي هذي V ولا Δ V أصلها؟ بين مين
+
+249
+00:16:39,090 --> 00:16:45,170
+ومين؟بين ترفيه الكبسيطر يعني بين هذه وبين هذه فعلا
+
+250
+00:16:45,170 --> 00:16:48,010
+يعني هي initial final وهي ال point هي final point
+
+251
+00:16:48,010 --> 00:16:51,490
+هي delta V V final مقص V initial طب و أنا ماشي من
+
+252
+00:16:51,490 --> 00:16:53,810
+هنا أي مجال بالدين اللي برا ولا اللي هنا ولا اللي
+
+253
+00:16:53,810 --> 00:16:58,210
+هنا بس هذا اللي قيمته sigma على epsilon note واضح
+
+254
+00:16:58,210 --> 00:17:00,890
+شباب لإن انا بدي أجمع من initial ل final لإن V
+
+255
+00:17:00,890 --> 00:17:04,950
+ماهيش جهود ان نقطة الآن هو فرق جهود بين ترفيه
+
+256
+00:17:04,950 --> 00:17:11,690
+الكبسيطر فبقول لي V بتساويمن الصلبة الموجودة من
+
+257
+00:17:11,690 --> 00:17:15,930
+الـ E شرفاية من الصلبة الموجودة أتبرقى تمام يعني
+
+258
+00:17:15,930 --> 00:17:22,390
+من الزرجل الحمرا واضح؟ E بطل DL بقول since E is
+
+259
+00:17:22,390 --> 00:17:26,450
+constant لإن أنا بسوى سجم على أبسل نور Uniform I'm
+
+260
+00:17:26,450 --> 00:17:29,210
+directed from the positive to the negative plate
+
+261
+00:17:29,210 --> 00:17:36,200
+وهي عكس DL وقصان الـ180 سالب تمام we can writeV
+
+262
+00:17:36,200 --> 00:17:39,360
+طلعت E او الـD طلعت روحها الـDL الـDL مش هي
+
+263
+00:17:39,360 --> 00:17:42,920
+المسافة بين الأولى والتانية و اديتها الرمز D انا
+
+264
+00:17:42,920 --> 00:17:50,180
+طلعت الجواب. اذا V بتساوي E طب مش E بتساوي سجن على
+
+265
+00:17:50,180 --> 00:17:54,260
+أبسل نوت شباب؟وهي دي طب سيجما بيساوي Q على A ولا
+
+266
+00:17:54,260 --> 00:17:59,680
+مش بتساويش Q على A بتساوي Q على A هاي طلعت V ها دي
+
+267
+00:17:59,680 --> 00:18:07,280
+طلعت طبق هنا في Q هنا في Q بوحة Q مع Q صح طلع C ها
+
+268
+00:18:07,280 --> 00:18:13,960
+دي E وها دي سيجما تمام الان Now C بيساوي Q على V
+
+269
+00:18:13,960 --> 00:18:18,940
+القانون اللي بتجيب عنه طلعناه وطلعت هيك هاي الجواب
+
+270
+00:18:18,940 --> 00:18:24,440
+هذا بدنا نحفظهC بيساوي E على D طيب شباب طلعوا على
+
+271
+00:18:24,440 --> 00:18:31,500
+القانون فى Q لو ماكنش مشحون إله سعة اه فى Q هنا
+
+272
+00:18:31,500 --> 00:18:36,480
+عوض و Q صفر اتغيرت هذا النتيجة إذا السعة من
+
+273
+00:18:36,480 --> 00:18:41,380
+هالجواب الشحنة فى V فرخ جود لأ أنا مش موصف في
+
+274
+00:18:41,380 --> 00:18:45,100
+كهربا فإله السعة اه طبعا إيش السعة بتعتمد قولي هي
+
+275
+00:18:45,100 --> 00:18:48,780
+تعتمد على مساحته ومسافة اللي بينهم و E أبسل نوت
+
+276
+00:18:48,780 --> 00:18:52,560
+أبسل نوت إيش بيمثل الوسط العاسقمش epsilon note هو
+
+277
+00:18:52,560 --> 00:18:56,280
+ثابت النفاذية الكهرباية للفراخ تمام؟ إذا معناته
+
+278
+00:18:56,280 --> 00:19:00,600
+لما يرميلي في السلة كبسطر و كتبلي جديش كيلو كبسطر
+
+279
+00:19:00,600 --> 00:19:03,900
+انسبعته صح مع الواحد بيقولك تنور مش مشعون وانت
+
+280
+00:19:03,900 --> 00:19:06,600
+بتقوللي C بالثورة كيلو على D طلع على احنا القانون
+
+281
+00:19:06,600 --> 00:19:12,880
+الشباب لو هذه زابت بتزيد هذه؟ لأ زي الخزانة ساعتها
+
+282
+00:19:12,880 --> 00:19:17,500
+تنفذت طبعا طب إذا زادت هاتيش بتزيد بيقولك هذا
+
+283
+00:19:17,500 --> 00:19:21,640
+بتزيد عشان أزله هذه ثابتةفاهمت عليها؟ لأن هاي الـC
+
+284
+00:19:21,640 --> 00:19:24,920
+عارف تتمت تتمتش دي على الـQ وعلى الـV فدائما
+
+285
+00:19:24,920 --> 00:19:27,660
+العارف بتكون عارف الـK بقى هو عارف القانون اللي
+
+286
+00:19:27,660 --> 00:19:31,400
+كلكم حافظينه بقولك Q زادت بقولهم فيزي زادت على طول
+
+287
+00:19:31,400 --> 00:19:35,360
+اه V زادت و بعدين لأ لأ والله اللي عارف تصيرش شيء
+
+288
+00:19:35,360 --> 00:19:37,920
+فاهمت عليها؟ إذا ان الارواح قدر الميئة هذي زادت
+
+289
+00:19:37,920 --> 00:19:42,750
+هذي زادتهذه جلة وهذه جلة والعكس صحيح لكن هذه لا
+
+290
+00:19:42,750 --> 00:19:46,650
+تعتمد إلا على ابسلون نوت او ايه او دي يعني بتعتمد
+
+291
+00:19:46,650 --> 00:19:49,830
+على التركيبة تبع الكباسيدر ال issue التركيبة مساحة
+
+292
+00:19:49,830 --> 00:19:53,070
+ال place والبُقات بينهم والوسط العازل اللي بينهم
+
+293
+00:19:53,070 --> 00:19:56,910
+ماذا هو الكباسيدر؟ two compactors بينهم وسط عازل
+
+294
+00:19:56,910 --> 00:20:01,650
+الوسط العازل له دعوة بيبين بالمثل ابسلون نوت ال
+
+295
+00:20:01,650 --> 00:20:06,010
+two compactors اللي هم أحجام اللي هم البُقات بينهم
+
+296
+00:20:06,010 --> 00:20:13,220
+والمساحة تبعتهمهذا يعني أن القوام يعتمد فقط على
+
+297
+00:20:13,220 --> 00:20:17,380
+جيومتري القوام بيعتمد فقط على التركيبة الهندسية
+
+298
+00:20:17,380 --> 00:20:18,120
+للقوام بيعتمد فقط على التركيبة الهندسية للقوام
+
+299
+00:20:18,120 --> 00:20:18,640
+بيعتمد فقط على التركيبة الهندسية للقوام بيعتمد فقط
+
+300
+00:20:18,640 --> 00:20:18,840
+على التركيبة الهندسية للقوام بيعتمد فقط على
+
+301
+00:20:18,840 --> 00:20:19,500
+التركيبة الهندسية للقوام بيعتمد فقط على التركيبة
+
+302
+00:20:19,500 --> 00:20:19,900
+الهندسية للقوام بيعتمد فقط على التركيبة الهندسية
+
+303
+00:20:19,900 --> 00:20:21,660
+للقوام بيعتمد فقط على التركيبة الهندسية للقوام
+
+304
+00:20:21,660 --> 00:20:26,220
+بيعتمد فقط على التركيبة الهندسية للقوام بيعتمد
+
+305
+00:20:26,220 --> 00:20:29,840
+فقط
+
+306
+00:20:29,840 --> 00:20:33,810
+على التركيبةبيقول لي هي تناسب .. تناسب انطريا مع
+
+307
+00:20:33,810 --> 00:20:38,530
+المساحة وعكسيا مع دي .. بيقول لي كل ما كبعتهم عن
+
+308
+00:20:38,530 --> 00:20:42,470
+بعد السعب تجيل .. كل ما بعتهم عن بعد السعب تجيل ..
+
+309
+00:20:42,470 --> 00:20:46,950
+وكل ما كبرت مساحتهم السعب تزيل .. تبتديت زي بعض ..
+
+310
+00:20:46,950 --> 00:20:49,910
+اه اصلا لو كبرت اتنين يعني تجيب انت ورقتين ايه
+
+311
+00:20:49,910 --> 00:20:53,450
+فوله او اكتن ب .. ب .. ب .. ب five .. تفرق و اكتن
+
+312
+00:20:53,450 --> 00:20:56,070
+المعدن طبعا مش ورقتين من الورق .. تمام؟ عشان
+
+313
+00:20:56,070 --> 00:21:05,480
+يكونوا كنت بكترWe will see later that
+
+314
+00:21:05,480 --> 00:21:08,540
+if the medium between the blades is not vacuumed,
+
+315
+00:21:08,540 --> 00:21:11,260
+this constant should be multiplied by a factor
+
+316
+00:21:19,170 --> 00:21:22,950
+السيركيتز اللي انتوا عارفينها الكمبيوتر والبطاريه
+
+317
+00:21:22,950 --> 00:21:25,810
+مميزه كشون هتمولوا علينا البطاريه ايش معاها
+
+318
+00:21:25,810 --> 00:21:28,710
+البطاريه البطارية هتمولوا من يوم اطلع شوية
+
+319
+00:21:28,710 --> 00:21:31,430
+البطارية بيقولوا هاي الكمبيوتر في حد مارفعش
+
+320
+00:21:31,430 --> 00:21:38,430
+وبطارية طبعا الكبيرة حمرا ولا لا والصغيرة الزرقه
+
+321
+00:21:38,430 --> 00:21:41,370
+الكبيرة هي الموجب والصغيرة هي السرقه هاي هنكون
+
+322
+00:21:41,370 --> 00:21:45,010
+رموز اللي هنستخدمها طب بيقولوا كيف احنا بنشحن
+
+323
+00:21:45,010 --> 00:21:49,140
+الكمبيوتر بيقولوا when we charge a capacitorفكيف
+
+324
+00:21:49,140 --> 00:21:53,940
+نشحنه؟ فبنوصل البطارية وراها شبال نستطيع نشحن
+
+325
+00:21:53,940 --> 00:21:58,760
+كباسيتر بإتصاله عبر ترميل البطارية ترميل الطرفين
+
+326
+00:21:58,760 --> 00:22:03,520
+أطراف البطارية خلينا نشحنه هذا هو حيث أنا شحنته
+
+327
+00:22:03,520 --> 00:22:07,120
+إيش بده يصير؟ بقول إيش بده يصير؟ in doing so
+
+328
+00:22:07,120 --> 00:22:10,780
+electrons transfer وخلينا أولا الرسم أحلى هكذا
+
+329
+00:22:10,780 --> 00:22:11,200
+بنشحن
+
+330
+00:22:13,970 --> 00:22:17,290
+اللي بتحرك Electron شباب أزرق شايفينه؟ إيش اللي
+
+331
+00:22:17,290 --> 00:22:20,670
+حركوه؟ بيقولوا هذا قطب موجب، إيش اللي بيأكل جنبه؟
+
+332
+00:22:20,670 --> 00:22:25,670
+الإلكترونات، مظبوط؟ مش هذا قطب موجب؟ وهذا كوندكتر؟
+
+333
+00:22:25,670 --> 00:22:28,070
+فيه free electrons ولا لأ؟ فيه free electrons،
+
+334
+00:22:28,070 --> 00:22:31,650
+بيجوا هيك، و بيمشوا، طب هذا أخدت منه إلكترون، هو
+
+335
+00:22:31,650 --> 00:22:34,570
+مش بيصير باله زي ما هو ولا بيصير موجب، طب
+
+336
+00:22:34,570 --> 00:22:37,530
+الإلكترون اللي أخدته ووديته، بيصير هذا موجب وهذا
+
+337
+00:22:37,530 --> 00:22:41,140
+سالمطب هو ايش النجا الالكترون من هالهال؟ مانه هاد
+
+338
+00:22:41,140 --> 00:22:44,180
+الالكترون و هاد سالب يتنافع بيقول هي شغل البطارية
+
+339
+00:22:44,180 --> 00:22:47,800
+هو اللي جاية البطارية شغل البطارية شغلتها تنجو
+
+340
+00:22:47,800 --> 00:22:50,720
+الالكترون من الأعلى جهة دي لأقل جهة و تحطه حطته
+
+341
+00:22:50,720 --> 00:22:54,300
+هنا خلاص انا سهل عليه بتنافعه من جهان اللي هي
+
+342
+00:22:54,300 --> 00:22:58,120
+شغلتها زي بالظبط بتعرفوا نفرت الميه؟ شوفوها في
+
+343
+00:22:58,120 --> 00:23:02,560
+الجند المجهول هنا؟ ايش الميه؟ على الميه بتطلع ولا
+
+344
+00:23:02,560 --> 00:23:05,900
+في مطور؟المطلوب ايش بيسوي؟ بينجول الميه من فوق ل
+
+345
+00:23:05,900 --> 00:23:11,340
+.. من تحت لفوق، في مطلوب فوق تنزلها تحت؟ تمام؟ إذا
+
+346
+00:23:11,340 --> 00:23:15,420
+طيب الميه .. تقولكم الميه جديدة؟ لأ، هي نفس الميه،
+
+347
+00:23:15,420 --> 00:23:18,300
+هي نفس الميه، بياخدها من تحت و بيطلحها، بياخدها من
+
+348
+00:23:18,300 --> 00:23:20,860
+تحت و بيطلحها، اول ما بيطلحها فوق تنزلها على، بيجي
+
+349
+00:23:20,860 --> 00:23:23,000
+نمسكها و بيطلحها، البطارية هي ايش بيسوي؟ ايش
+
+350
+00:23:23,000 --> 00:23:26,000
+بيسوي؟ بيقولني هذا الإلكيون غصب العالم بيجي هان
+
+351
+00:23:26,000 --> 00:23:29,560
+بفئة قوة التجاذب، شباب، لكن إيش بيجيبوا منها اله
+
+352
+00:23:30,920 --> 00:23:33,620
+بيجي لحاله هيدا مرضه بقعده ساري بيبقى على الساري
+
+353
+00:23:33,620 --> 00:23:38,500
+بالليتوين بطبيعة حاله بيده ايد او مطور ينجله من
+
+354
+00:23:38,500 --> 00:23:42,060
+هالهال ايش هو هذا المطور هو بطارية هاي شغل
+
+355
+00:23:42,060 --> 00:23:44,540
+البطارية مش فيه عندنا تبعادات كيميائية جوا شغل
+
+356
+00:23:44,540 --> 00:23:49,440
+البطارية في قوة دافعة كعربية بتدفع الليتوين من
+
+357
+00:23:49,440 --> 00:23:52,540
+هالهال اول ما يصل الهال يقول هيعطيك العافية البدا
+
+358
+00:23:52,540 --> 00:23:59,890
+بكمل الحاجة بروح بكمل طبعاوين هو؟ ومين جالك؟ هو
+
+359
+00:23:59,890 --> 00:24:04,610
+اللي عمله .. هو اللي عمله .. هو اللي .. في الأول
+
+360
+00:24:04,610 --> 00:24:10,070
+كان متعالج ابنى .. هكذا .. عجبش .. أول يحصل .. إجا
+
+361
+00:24:10,070 --> 00:24:13,770
+.. هاي الاترون .. رقع هنا .. صاحب السلم .. التاني
+
+362
+00:24:13,770 --> 00:24:18,310
+.. بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+363
+00:24:18,310 --> 00:24:19,710
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+364
+00:24:19,710 --> 00:24:19,870
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+365
+00:24:19,870 --> 00:24:19,910
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+366
+00:24:19,910 --> 00:24:30,330
+بيجي .. بيجي .. بيجي .. بيجي .. بيلما جهد الفطارية
+
+367
+00:24:30,330 --> 00:24:35,570
+صار جهد المكثف الصالبة صار مجادرة الفطارية عليها و
+
+368
+00:24:35,570 --> 00:24:38,190
+بتقولها بتكلعت خلاص بس ان كنت انشعلها ماشعناش
+
+369
+00:24:38,190 --> 00:24:41,630
+بيكون جمع هنا شحنات بيصير head capital Q و head
+
+370
+00:24:41,630 --> 00:24:44,610
+sales Q طلع الشباب عشان كده يجب تساوي انه انا طلعت
+
+371
+00:24:44,610 --> 00:24:47,430
+هنا إلكترون و انا راح هنا لو هنا عشر إلكترونات هنا
+
+372
+00:24:47,430 --> 00:24:51,450
+جد ايشعشرة عشان كده تكون الشحنات متساوية لأنه أصل
+
+373
+00:24:51,450 --> 00:24:54,590
+النيترون يجي من هنا و يروح من هنا نجلة مية هي يجي
+
+374
+00:24:54,590 --> 00:24:59,550
+مية نجلة ألف هي يجي ألف فهي عملية مقل الشحنات هيك
+
+375
+00:24:59,550 --> 00:25:03,890
+بتبقى عملية الشحن بالظبط تنتقل الشحنات من plate
+
+376
+00:25:03,890 --> 00:25:08,350
+كانت متعادلة بفعل قوة الجذب من القطب الموجب تبع
+
+377
+00:25:08,350 --> 00:25:12,390
+البطارية تنجب البطارية شغلتها تنقل النيترونللسالي
+
+378
+00:25:12,390 --> 00:25:15,050
+والسالي بيروح هناك هاي electron انتقل صار hard
+
+379
+00:25:15,050 --> 00:25:18,650
+positive و hard negative و كده بجرح تمشي لما جهود
+
+380
+00:25:18,650 --> 00:25:22,710
+هادي يسووا جهود هادي بيتجهل الحركة طبعا هم بيقول
+
+381
+00:25:22,710 --> 00:25:25,710
+تتحرك الشحنات أو تنتقل الشحنات من الجهود اللي أقل
+
+382
+00:25:25,710 --> 00:25:27,710
+.. من الجهود اللي .. على الجهود اللي أقل حتى تسوى
+
+383
+00:25:27,710 --> 00:25:34,390
+الجهود لما تتسوى الجهود بتخيل احكي اه
+
+384
+00:25:34,390 --> 00:25:39,300
+.. اه وين انتقلت حبيبي هي؟بقولك انت جالك من هال
+
+385
+00:25:39,300 --> 00:25:45,360
+لها هرجعش انا بدي اقولك هاي جهود 100 volt و هاي
+
+386
+00:25:45,360 --> 00:25:52,100
+جهود 1 volt تمام؟ يالا انتجلوا يا شحنات بديش وصلهم
+
+387
+00:25:52,100 --> 00:25:57,200
+انا انتجلوا يا شحنات بنتقلوا؟ لأ اذا نجيكيهم عمل
+
+388
+00:25:57,200 --> 00:26:01,300
+ايه؟ عرفين بتاعي ايه؟ بتعرفيش نجل من هال لها بهالي
+
+389
+00:26:01,300 --> 00:26:05,200
+خاصية لانه ماتوصلوش مع بعض انا بنجل من هال لها
+
+390
+00:26:06,520 --> 00:26:09,900
+فاهمتها؟ وهذه في عندك شغل تاني بتقول من هال لهال
+
+391
+00:26:09,900 --> 00:26:14,140
+بتجاه معاكس تمام؟ هي عمل اطلاق المعاكس زي مقرر
+
+392
+00:26:14,140 --> 00:26:17,780
+الميه بتقول من أوصى لأعلى من أوطى جوجل لأعلى جوجل
+
+393
+00:26:17,780 --> 00:26:23,180
+مش من الأعلى لأقل هي شغل البطارية طبعا من أكبر؟
+
+394
+00:26:23,180 --> 00:26:26,740
+خمسة ولا نقل ثلاثة؟ اه فحكيلي في هذه الحالة احنا
+
+395
+00:26:26,740 --> 00:26:30,880
+بتشحن المكاتب صح؟ اه طب البطارية ايش بصير فيها؟
+
+396
+00:26:30,880 --> 00:26:34,860
+ولا اي شي بتشحنها بتفكر؟ هي اللي بتشحن اصلا مش انا
+
+397
+00:26:34,860 --> 00:26:37,680
+اللي بتشحن هي البطارية اللي بتشحنهو انا اللى بشحنه
+
+398
+00:26:37,680 --> 00:26:43,380
+من عندى الشحنات؟ البطارية اللى شحنها البطارية
+
+399
+00:26:43,380 --> 00:26:48,880
+خلنا نقول هي منبع شحنات منبع عد معين اذا خلصت
+
+400
+00:26:48,880 --> 00:26:52,660
+معناته خربت معناته بطرت عندها القوة تنجل شحنات من
+
+401
+00:26:52,660 --> 00:26:55,960
+الاعلى جهود الى الأعلى جهود الشحنات السالبة طبعا
+
+402
+00:26:56,790 --> 00:27:00,310
+تمام؟ هي ليش هي بتتعب بتخرط؟ ممكن تبقى بتشتري
+
+403
+00:27:00,310 --> 00:27:04,030
+بتنقل شغلات معاكسة صح ولا .. هي بتنقل أمه معاكسة
+
+404
+00:27:04,030 --> 00:27:06,990
+عشان كلها بتخرط بالآخر بس هذه قوة خلال ال wonder
+
+405
+00:27:06,990 --> 00:27:10,410
+energy هذه chemical energy بس لو بنتقلنا هيك على
+
+406
+00:27:10,410 --> 00:27:14,970
+الطبيعة ده العملية بطارية الجوال والشاحن هل الشاحن
+
+407
+00:27:14,970 --> 00:27:18,890
+بيكون اللي هو ال .. لأ الشاحن بيدي بتجاه المعاكس
+
+408
+00:27:18,890 --> 00:27:23,370
+اقولك انت لما توصلها تشحنها تصير وكأنه انت عكست
+
+409
+00:27:23,370 --> 00:27:28,610
+وانتي بتهاديهذه المكان ال .. مكان فيه؟ بطارية
+
+410
+00:27:28,610 --> 00:27:32,950
+معاكسة فبصير هنا ييجي من هان كفيت عليها؟ فبصير
+
+411
+00:27:32,950 --> 00:27:36,770
+هادي بتشحن هادي و هادي بتشحن هادي بطارية تانية و
+
+412
+00:27:36,770 --> 00:27:38,810
+انت تتكلم تانية عن انت بصير عندك التوصيل هادى ولا
+
+413
+00:27:38,810 --> 00:27:44,380
+لأ عندك عندك ال breeze هي هادى و الجوان هو هذامثال
+
+414
+00:27:44,380 --> 00:27:48,440
+ايه؟ والبطارية و البطارية فانت لما تشحن تجيب اتجاه
+
+415
+00:27:48,440 --> 00:27:54,260
+المعاكس الشحن عملية معاكسة تمام انا الآن هيك عندك
+
+416
+00:27:54,260 --> 00:27:57,080
+الجوال و البطارية ماكانش الشحن مفصول هاي اللي
+
+417
+00:27:57,080 --> 00:28:00,440
+بيصغي عليه تمام طبعا البطارية لعيننا بتفضل بتعود
+
+418
+00:28:00,440 --> 00:28:03,600
+تنشحن لكن انا هنا بقصد فيها بطارية الحاجة على
+
+419
+00:28:03,600 --> 00:28:06,540
+الراديوحاجة غير راضية وانتوا عارفين ان التركيبة ان
+
+420
+00:28:06,540 --> 00:28:10,420
+فيها تفاعلات كيميائية هي المسؤولة عن هذه الطاقة ان
+
+421
+00:28:10,420 --> 00:28:14,080
+من وين اجتها القوة دى؟ من وين هي القوة اللى تنجل؟
+
+422
+00:28:14,080 --> 00:28:17,980
+بقول ده طاقة كيميائية اصلا تمام بقول this process
+
+423
+00:28:17,980 --> 00:28:20,760
+continues for a short time until the potential
+
+424
+00:28:20,760 --> 00:28:23,540
+difference across the capacitor becomes equal to
+
+425
+00:28:23,540 --> 00:28:26,160
+the potential difference of the battery يعني في
+
+426
+00:28:26,160 --> 00:28:28,680
+النهاية بيقول اللي لازم يجهود يتساوى وإلا بيضللها
+
+427
+00:28:28,680 --> 00:28:35,300
+سحنات تتحرك تمامهذا النوع الأول هو الوحيد اللي
+
+428
+00:28:35,300 --> 00:28:39,340
+طالبين منكم شباب تحفظه قيمته اللي هو C بيساوي Y
+
+429
+00:28:39,340 --> 00:28:42,940
+Note A على D C بيساوي Y Note A على D مطلوب مننا
+
+430
+00:28:42,940 --> 00:28:46,420
+نحفظها لأنه هذا أشهر أنواع ال Capacitors وبالتالي
+
+431
+00:28:46,420 --> 00:28:51,120
+بدنا نحفظ جديد C تبعته انه أنا التانين مش هنحفظ
+
+432
+00:28:51,120 --> 00:28:55,000
+نتائجهم اللي هو ال spherical و ال cylindrical طبعا
+
+433
+00:28:55,000 --> 00:29:00,020
+ال spherical شباب سهلليه يسموه سفير كالكباسيتر؟
+
+434
+00:29:00,020 --> 00:29:03,100
+عبارة عن two conductors بينهم مادة عازلة، ال
+
+435
+00:29:03,100 --> 00:29:06,160
+conductor الأول سفير والconductor التاني سفير،
+
+436
+00:29:06,160 --> 00:29:07,520
+عشان كده يسموه سفير كالconductor
+
+437
+00:29:10,000 --> 00:29:14,640
+اسفيريكال كابوسيطر تحتوي على 2 شحنات موجبة و أزرق
+
+438
+00:29:14,640 --> 00:29:24,000
+شحنات ساربة تحتوي على 2
+
+439
+00:29:24,000 --> 00:29:30,680
+شحنات موجبة و أزرق شحنات ساربة تحتوي على 2 شحنات
+
+440
+00:29:30,680 --> 00:29:36,190
+موجبة و أزرق شحنات ساربةطبعا في نوع تالت ال
+
+441
+00:29:36,190 --> 00:29:38,930
+cylindrical capacitor بس عشان ت .. منين يقوللي ايش
+
+442
+00:29:38,930 --> 00:29:42,050
+مثال ع ال cylindrical capacitor؟ بتوصل اندرس جوا
+
+443
+00:29:42,050 --> 00:29:48,630
+بعيد ده ما بتستخدموه كل يوم سلك
+
+444
+00:29:48,630 --> 00:29:51,890
+اللي رابط من ال dish ل ال .. ل ال receiver اش هو
+
+445
+00:29:51,890 --> 00:29:57,520
+ده؟فجيت انتوا حقا قشطتوه وعملتوه مش فيه ال .. ال
+
+446
+00:29:57,520 --> 00:30:00,940
+.. المركزي هذا اللي بيخش جوه هذا conductor و فيه
+
+447
+00:30:00,940 --> 00:30:04,420
+وسط عادل هو ال plastic و حواليه شبك الشبك هذا ال
+
+448
+00:30:04,420 --> 00:30:07,900
+cylinder التانية فعندك cylinder صغيرة أو cylinder
+
+449
+00:30:07,900 --> 00:30:11,520
+كبيرة من الشبك بينهم وسط عادل هو ال plastic هذا
+
+450
+00:30:11,520 --> 00:30:15,320
+cylindrical capacitor و هذا ال spherical capacitor
+
+451
+00:30:15,320 --> 00:30:20,040
+طبعا كام بدأ يجيبها؟ كانوا نفس العملية C بالساوة Q
+
+452
+00:30:20,040 --> 00:30:25,130
+على Vالـ Q مُعطية ولي مش مُعطية ده اللي عليك تجيب
+
+453
+00:30:25,130 --> 00:30:30,110
+V يا عم رودي سهل تجيب V حاجة V هذه هي فرق الجهد ب
+
+454
+00:30:30,110 --> 00:30:35,450
+two conductors لما بيجيبها شباب بساوي سالب من
+
+455
+00:30:35,450 --> 00:30:39,570
+initial ل final E dot dl شوف أنا كتبت من initial ل
+
+456
+00:30:39,570 --> 00:30:42,890
+final لإن هذه أصلها delta V صح ولا لأ؟ هذه أصلها
+
+457
+00:30:42,890 --> 00:30:47,190
+delta D طب وين ال initial وين ال final؟ حاجة V بين
+
+458
+00:30:47,190 --> 00:30:52,680
+يومينمن A ل B هي بين ال two conductors يعني انا
+
+459
+00:30:52,680 --> 00:30:56,360
+بدي E لأجمحة هادية اي E اللي برا خالص و اللي جوه
+
+460
+00:30:56,360 --> 00:31:00,700
+خالص و اللي بينهم اللي بينهم بس بدي E اللي بينهم
+
+461
+00:31:00,700 --> 00:31:03,940
+طب فجر اجيب E اللي بينهم بقولي اه بواسط قانون جوز
+
+462
+00:31:03,940 --> 00:31:09,700
+بنص طب بتجيبها جيب E بواسط قانون جوز حطه هنا بطلع
+
+463
+00:31:09,700 --> 00:31:12,220
+النتيجة وكمل و خلاص بطلع النتيجة و بعد النتيجة
+
+464
+00:31:12,220 --> 00:31:14,380
+عشان في إيها شغلات مش هخلصها الآن
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5fe9799d1451d80e92cbe5232211fbdc7a3358a7
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_raw.json
@@ -0,0 +1 @@
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" تسعة", "probability": 0.8453776041666666}, {"start": 77.61, "end": 77.85, "word": " وخمسين", "probability": 0.8546875}, {"start": 77.85, "end": 77.99, "word": " مش", "probability": 0.99072265625}, {"start": 77.99, "end": 78.41, "word": " موجودة", "probability": 0.975341796875}, {"start": 78.41, "end": 78.47, "word": " ..", "probability": 0.35107421875}, {"start": 78.47, "end": 78.57, "word": " مش", "probability": 0.97119140625}, {"start": 78.57, "end": 78.91, "word": " موجودة", "probability": 0.99365234375}, {"start": 78.91, "end": 79.25, "word": " أصلا", "probability": 0.8805338541666666}, {"start": 79.25, "end": 79.85, "word": " ..", "probability": 0.9248046875}, {"start": 79.85, "end": 80.35, "word": " كانت", "probability": 0.636962890625}], "temperature": 1.0}, {"id": 5, "seek": 11036, "start": 81.96, "end": 110.36, "text": "الشباب نبدأ اول section هو ال capacitance السعة طبعا احنا انا capacitor هو المكثف الكعبائي capacitor مرات نسموه condenser لأن اسم التجار يقيله condenser طبعا condens أقرب لغوية لكلمة تكثيف مكثف صح ولا لأ؟ condenser لكن اسم العلم يقيله capacitor او condenser اسم التجار يقيله condenser طبعا اسم التجار يقيله", "tokens": [6027, 8592, 3555, 16758, 8717, 44510, 10721, 1975, 12610, 3541, 31439, 2423, 50241, 21136, 27884, 23032, 3555, 3615, 995, 1975, 5016, 8315, 1975, 8315, 29372, 31439, 9673, 4117, 12984, 5172, 33251, 3615, 3555, 16373, 1829, 29372, 3714, 2288, 9307, 8717, 38251, 2407, 3224, 2224, 694, 260, 5296, 33456, 24525, 2304, 16712, 7435, 9640, 7251, 4587, 26895, 3224, 2224, 694, 260, 23032, 3555, 3615, 995, 2224, 694, 5551, 4587, 25513, 5296, 17082, 2407, 10632, 5296, 4117, 19528, 3660, 6055, 4117, 12984, 33911, 3714, 4117, 12984, 5172, 20328, 5016, 49429, 5296, 10721, 22807, 2224, 694, 260, 44381, 24525, 2304, 18863, 19528, 7251, 4587, 26895, 3224, 29372, 1975, 2407, 2224, 694, 260, 24525, 2304, 16712, 7435, 9640, 7251, 4587, 26895, 3224, 2224, 694, 260, 23032, 3555, 3615, 995, 24525, 2304, 16712, 7435, 9640, 7251, 4587, 26895, 3224], 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0.4739583333333333}, {"start": 489.05, "end": 489.15, "word": " إيه", "probability": 0.8036295572916666}, {"start": 489.15, "end": 489.31, "word": " يا", "probability": 0.446533203125}, {"start": 489.31, "end": 490.61, "word": " شباب؟السعة", "probability": 0.87451171875}, {"start": 490.61, "end": 491.09, "word": ".ال", "probability": 0.575927734375}, {"start": 491.09, "end": 491.47, "word": " capacitance", "probability": 0.82275390625}, {"start": 491.47, "end": 492.19, "word": ".حلو", "probability": 0.9033203125}, {"start": 492.19, "end": 493.25, "word": ".علاقاتها", "probability": 0.7505696614583334}, {"start": 493.25, "end": 493.69, "word": " بالكلوم", "probability": 0.6211751302083334}, {"start": 493.69, "end": 494.09, "word": " والولت", "probability": 0.6214192708333334}, {"start": 494.09, "end": 494.69, "word": " معروفة", "probability": 0.9752197265625}, {"start": 494.69, "end": 494.87, "word": " من", "probability": 0.916015625}, {"start": 494.87, "end": 495.39, "word": " قلوها", 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"text": "نفترض عشرة ميكروفيرات بتطلع حطتهم في سلة اكتار بتطلع عليهم بيديك واحد مكتوب عليها عشرة ميكروفيرات طب هو إذا السعة محسوبة و لا مش محسوبة؟ محسوبة و مكتوبة طب كيف حسبوها؟ بنتعلم كيف تنحسب السعة لأنها مكتوبة على كل واحد زي ال .. زي المقاومات خدتوا في المختبر بالألوان تحسب ولا لا؟ طبعا المقاومات وانت خدتوا في المدارس تعتمد على الطول وعنه علمات ده صح ولا لا ونسخطرها؟ أه و سمكان نسخطرها يعني", "tokens": [1863, 5172, 2655, 43042, 6225, 8592, 25720, 3714, 1829, 4117, 32887, 5172, 13546, 9307, 39894, 9566, 1211, 3615, 11331, 9566, 2655, 16095, 8978, 8608, 37977, 1975, 4117, 2655, 9640, 39894, 9566, 1211, 3615, 25894, 16095, 4724, 1829, 16254, 4117, 36764, 24401, 3714, 4117, 2655, 37746, 25894, 11296, 6225, 8592, 25720, 3714, 1829, 4117, 32887, 5172, 13546, 9307, 23032, 3555, 31439, 11933, 15730, 21136, 27884, 3714, 5016, 3794, 37746, 3660, 4032, 20193, 37893, 3714, 5016, 3794, 37746, 3660, 22807, 3714, 5016, 3794, 37746, 3660, 4032, 3714, 4117, 2655, 37746, 3660, 23032, 3555, 9122, 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" علمات", "probability": 0.8014322916666666}, {"start": 565.28, "end": 565.5, "word": " ده", "probability": 0.98193359375}, {"start": 565.5, "end": 565.78, "word": " صح", "probability": 0.969970703125}, {"start": 565.78, "end": 565.92, "word": " ولا", "probability": 0.96923828125}, {"start": 565.92, "end": 566.1, "word": " لا", "probability": 0.82958984375}, {"start": 566.1, "end": 567.4, "word": " ونسخطرها؟", "probability": 0.737091064453125}, {"start": 567.4, "end": 567.52, "word": " أه", "probability": 0.7122802734375}, {"start": 567.52, "end": 567.68, "word": " و", "probability": 0.78369140625}, {"start": 567.68, "end": 568.04, "word": " سمكان", "probability": 0.65313720703125}, {"start": 568.04, "end": 568.5, "word": " نسخطرها", "probability": 0.9834798177083334}, {"start": 568.5, "end": 568.78, "word": " يعني", "probability": 0.895263671875}], "temperature": 1.0}, {"id": 26, "seek": 59752, "start": 569.82, "end": 597.52, "text": "بقول إن في عدة أنواع لـ Capacitors فى عندي تلاتة مشهورين فى أشهرهم Pile Plate Capacitor كيف رمز الـ Capacitor فى الدواء الكهرباى ياخدوها؟ عصالتين صح ولا .. هذه العصاية خط ولا .. ولا صفيحة؟ صفيحة هي أصلها هاي ال Capacitor هاي Pile Plate Capacitor يا شباب الرمز إجا من هذا ال Capacitor جالك حط صفيحة أكبر صفيحة و أنا أحط خط أكبر خط هاي الصفيحة", "tokens": [3555, 39648, 36145, 8978, 6225, 41891, 14739, 14407, 3615, 5296, 39184, 8363, 326, 9862, 6156, 7578, 18871, 16254, 6055, 1211, 9307, 3660, 37893, 3224, 13063, 9957, 6156, 7578, 5551, 8592, 3224, 2288, 16095, 430, 794, 46043, 8363, 326, 3029, 9122, 33911, 12602, 2304, 11622, 2423, 39184, 8363, 326, 3029, 6156, 7578, 32748, 2407, 16606, 33251, 3224, 25513, 995, 7578, 7251, 47283, 3215, 2407, 11296, 22807, 6225, 9381, 6027, 2655, 9957, 20328, 5016, 49429, 4386, 29538, 18863, 9381, 995, 10632, 16490, 9566, 49429, 4386, 49429, 20328, 5172, 1829, 5016, 3660, 22807, 20328, 5172, 1829, 5016, 3660, 39896, 5551, 36520, 11296, 8032, 47302, 2423, 8363, 326, 3029, 8032, 47302, 430, 794, 46043, 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{"start": 589.68, "end": 589.98, "word": " Plate", "probability": 0.974609375}, {"start": 589.98, "end": 590.38, "word": " Capacitor", "probability": 0.9814453125}, {"start": 590.38, "end": 590.54, "word": " يا", "probability": 0.360595703125}, {"start": 590.54, "end": 590.76, "word": " شباب", "probability": 0.9873046875}, {"start": 590.76, "end": 591.5, "word": " الرمز", "probability": 0.9775390625}, {"start": 591.5, "end": 591.68, "word": " إجا", "probability": 0.5940755208333334}, {"start": 591.68, "end": 591.8, "word": " من", "probability": 0.9951171875}, {"start": 591.8, "end": 591.98, "word": " هذا", "probability": 0.314697265625}, {"start": 591.98, "end": 592.08, "word": " ال", "probability": 0.89501953125}, {"start": 592.08, "end": 592.52, "word": " Capacitor", "probability": 0.9163411458333334}, {"start": 592.52, "end": 593.26, "word": " جالك", "probability": 0.7979329427083334}, {"start": 593.26, "end": 593.52, "word": " حط", "probability": 0.837646484375}, {"start": 593.52, 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"probability": 0.97509765625}, {"start": 1861.56, "end": 1861.7, "word": " اللي", "probability": 0.9873046875}, {"start": 1861.7, "end": 1861.92, "word": " بينهم", "probability": 0.991455078125}, {"start": 1861.92, "end": 1862.22, "word": " بقولي", "probability": 0.7490234375}, {"start": 1862.22, "end": 1862.44, "word": " اه", "probability": 0.84228515625}, {"start": 1862.44, "end": 1863.32, "word": " بواسط", "probability": 0.8514404296875}, {"start": 1863.32, "end": 1863.6, "word": " قانون", "probability": 0.9501953125}, {"start": 1863.6, "end": 1863.94, "word": " جوز", "probability": 0.6189778645833334}, {"start": 1863.94, "end": 1864.42, "word": " بنص", "probability": 0.718505859375}, {"start": 1864.42, "end": 1864.6, "word": " طب", "probability": 0.565673828125}, {"start": 1864.6, "end": 1865.14, "word": " بتجيبها", "probability": 0.9455078125}, {"start": 1865.14, "end": 1866.04, "word": " جيب", "probability": 0.87890625}, {"start": 1866.04, "end": 1866.14, "word": " E", "probability": 0.97998046875}, {"start": 1866.14, "end": 1866.46, "word": " بواسط", "probability": 0.9869384765625}, {"start": 1866.46, "end": 1866.68, "word": " قانون", "probability": 0.9923502604166666}, {"start": 1866.68, "end": 1867.0, "word": " جوز", "probability": 0.9918619791666666}, {"start": 1867.0, "end": 1868.72, "word": " حطه", "probability": 0.69775390625}, {"start": 1868.72, "end": 1869.04, "word": " هنا", "probability": 0.9912109375}, {"start": 1869.04, "end": 1869.7, "word": " بطلع", "probability": 0.8499755859375}, {"start": 1869.7, "end": 1870.06, "word": " النتيجة", "probability": 0.9471435546875}, {"start": 1870.06, "end": 1870.48, "word": " وكمل", "probability": 0.8250325520833334}, {"start": 1870.48, "end": 1870.56, "word": " و", "probability": 0.77294921875}, {"start": 1870.56, "end": 1870.86, "word": " خلاص", "probability": 0.78125}, {"start": 1870.86, "end": 1871.14, "word": " بطلع", "probability": 0.9249267578125}, {"start": 1871.14, "end": 1871.56, "word": " النتيجة", "probability": 0.9727783203125}, {"start": 1871.56, "end": 1871.8, "word": " و", "probability": 0.343017578125}, {"start": 1871.8, "end": 1871.9, "word": " بعد", "probability": 0.66015625}, {"start": 1871.9, "end": 1872.22, "word": " النتيجة", "probability": 0.93603515625}, {"start": 1872.22, "end": 1872.46, "word": " عشان", "probability": 0.97900390625}, {"start": 1872.46, "end": 1872.58, "word": " في", "probability": 0.84326171875}, {"start": 1872.58, "end": 1872.76, "word": " إيها", "probability": 0.5530598958333334}, {"start": 1872.76, "end": 1873.24, "word": " شغلات", "probability": 0.9644775390625}, {"start": 1873.24, "end": 1873.6, "word": " مش", "probability": 0.99169921875}, {"start": 1873.6, "end": 1874.08, "word": " هخلصها", "probability": 0.9853515625}, {"start": 1874.08, "end": 1874.38, "word": " الآن", "probability": 0.6292724609375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1874.52375, "duration_after_vad": 1827.015968749997}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_raw.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..83abf9716efc42eb84e7cc331ebe990e03d7239f
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/oX1gOgonpMY_raw.srt
@@ -0,0 +1,1864 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:12,470 --> 00:00:15,290
+بسم الله الرحمن الرحيم ونبدأ الشابتر الرابع
+
+3
+00:00:15,290 --> 00:00:20,030
+الشابتر الرابع عنوانه capacitance and dielectrics
+
+4
+00:00:20,030 --> 00:00:24,030
+هذا الشابتر هو اخر شابتر بتعلق بالكهربية الساكنة
+
+5
+00:00:24,030 --> 00:00:28,670
+شباب بعد كده هنخش بالكهربية الديناميكية المتعركة
+
+6
+00:00:28,670 --> 00:00:31,870
+هذا الشابتر اخر حاجة بتعلق بالكهربية الساكنة
+
+7
+00:00:31,870 --> 00:00:38,230
+capacitance هي السعةالسعة اللى بترتبط بالمكثفات
+
+8
+00:00:38,230 --> 00:00:43,450
+and die electrics هي المادة العازلة اللى جوا
+
+9
+00:00:43,450 --> 00:00:48,850
+الكاباسيتر بيسموها die electrics تمام طبعا زى ما
+
+10
+00:00:48,850 --> 00:00:51,470
+بنعمل دايما ال recommended programs اللى مفروض
+
+11
+00:00:51,470 --> 00:00:55,790
+موجود عندكم لكل الشباتر في sheet كامل موجود في ال
+
+12
+00:00:55,790 --> 00:01:00,110
+outlines أنا مديكميها من أول لكن هذا للتأكيد وفي
+
+13
+00:01:00,110 --> 00:01:04,130
+إعادة إفادة مش أكتر بس الكل بتحلوهم يا رب
+
+14
+00:01:13,190 --> 00:01:17,390
+واحد تلاتة خمسة تسعة .. واحد تلاتة المظبوط .. هو
+
+15
+00:01:17,390 --> 00:01:20,350
+تسعة وخمسين مش موجودة .. مش موجودة أصلا .. كانت
+
+16
+00:01:21,960 --> 00:01:25,300
+الشباب نبدأ اول section هو ال capacitance السعة
+
+17
+00:01:25,300 --> 00:01:30,400
+طبعا احنا انا capacitor هو المكثف الكعبائي
+
+18
+00:01:30,400 --> 00:01:34,100
+capacitor مرات نسموه condenser لأن اسم التجار
+
+19
+00:01:34,100 --> 00:01:37,700
+يقيله condenser طبعا condens أقرب لغوية لكلمة
+
+20
+00:01:37,700 --> 00:01:41,320
+تكثيف مكثف صح ولا لأ؟ condenser لكن اسم العلم
+
+21
+00:01:41,320 --> 00:01:46,320
+يقيله capacitor او condenser اسم التجار يقيله
+
+22
+00:01:46,320 --> 00:01:49,380
+condenser
+
+23
+00:01:49,380 --> 00:01:56,180
+طبعا اسم التجار يقيلههو جهاز كهربائي يتكون من
+
+24
+00:01:56,180 --> 00:02:02,060
+اتصالين كوندكتور و كوندكتور
+
+25
+00:02:02,060 --> 00:02:05,720
+بينهم مادة عازلة كوندكتور و كوندكتور بينهم مادة
+
+26
+00:02:05,720 --> 00:02:10,460
+عازلة بس هاي تعريفه هذا جهاز كهربائي ايش مهمته؟
+
+27
+00:02:10,460 --> 00:02:15,240
+جلي مهمته يخزين شحناتمهمته يخزن شحنات وإذا خزن
+
+28
+00:02:15,240 --> 00:02:18,220
+شحنات يعني خزن طاقة كهربائية وانا هى اللى بهمنى في
+
+29
+00:02:18,220 --> 00:02:21,860
+النهاية بدي طاقة كل أمور الدنيا متعلقة بالطاقة
+
+30
+00:02:21,860 --> 00:02:27,040
+بيقول ال capacitors are used to store charges عشان
+
+31
+00:02:27,040 --> 00:02:30,280
+يتخزن charges and consequently وبالتالي
+
+32
+00:02:30,280 --> 00:02:33,840
+electrostatic energy all the charges مش بدي أصورها
+
+33
+00:02:33,840 --> 00:02:37,640
+بدي أخد ال energy لجواها أنا بهمنى ال energy تمام
+
+34
+00:02:39,320 --> 00:02:44,580
+عندما نقول إن الكبسيطر لديه كبسيطر Q نشعله بكبسيطر
+
+35
+00:02:44,580 --> 00:02:51,240
+Q. كبسيطر Q. كبسيطر Q. كبسيطر Q. كبسيطر Q. كبسيطر
+
+36
+00:02:51,240 --> 00:03:02,780
+Q.
+
+37
+00:03:03,010 --> 00:03:06,270
+بش بيخشوا بعض؟ اذا بيبطل ال capacitor عشان كده
+
+38
+00:03:06,270 --> 00:03:09,570
+ممنوع يكون الوسط اللي جوا conductor ولي ببطل ولي
+
+39
+00:03:09,570 --> 00:03:12,090
+الصفر المصيفات اللي جوا ال capacitor الموجودة لإن
+
+40
+00:03:12,090 --> 00:03:14,990
+ال capacitor بيقوللي بدك تبعده مع بعض هذا Q و هذا
+
+41
+00:03:14,990 --> 00:03:18,490
+سبب Q إذا حط سلك بينهم فليك كيف بتفضل ال
+
+42
+00:03:18,490 --> 00:03:21,410
+capacitor؟ وصلهم بعض طبعا لما توصلهم مع بعض صار
+
+43
+00:03:21,410 --> 00:03:24,710
+capacitor بطل capacitor لما تحطوا بينهم سلك سلي
+
+44
+00:03:24,710 --> 00:03:29,860
+وسط اللي بينهم conductorمن أول انتهدأت أهم صفة في
+
+45
+00:03:29,860 --> 00:03:33,180
+الـ Capacitor لأن بينهم Insulator راح و احنا لما
+
+46
+00:03:33,180 --> 00:03:35,920
+نقول ال Capacitor انحرج انت عارفين ايش معانا
+
+47
+00:03:35,920 --> 00:03:41,420
+انحرج؟ لأن الوسط اللي جوا بطل Insulator اتأين و
+
+48
+00:03:41,420 --> 00:03:44,180
+لما اتأين بصير الوسط اللي جوا Convectorسار موسيقى
+
+49
+00:03:44,180 --> 00:03:46,560
+إذا بطل ال conductor و رميها في الزبالة بطل رميها
+
+50
+00:03:46,560 --> 00:03:49,600
+كاباسيتر خلاص انه ينحرج لانحرج المادة الوسطى اللى
+
+51
+00:03:49,600 --> 00:03:52,600
+بينهم شباب هذه اللى بتطلع ريحة عشان كده بيكتبوا
+
+52
+00:03:52,600 --> 00:03:57,240
+عند أي كاباسيتر أعلى جهد ممكن تحطه عليه ليش؟ مش
+
+53
+00:03:57,240 --> 00:04:00,620
+عشان ال conductors بعيطه لما يخشوا على الجهد لأ
+
+54
+00:04:00,620 --> 00:04:03,600
+عشان ال insulators اللى ليهوا بتأينوا عند هذا
+
+55
+00:04:03,600 --> 00:04:08,450
+الجهد بتحملوش لإن المادة الوسطىبصير كوندكتر تتأين
+
+56
+00:04:08,450 --> 00:04:11,150
+وبتتحملش وبتبطل ال insulator وبالتالي هذا ال
+
+57
+00:04:11,150 --> 00:04:14,270
+capacitor لايتحمل هذا الجود اول ما تحطه بتطلع ليه
+
+58
+00:04:14,270 --> 00:04:16,530
+تبطل في نفس الكوه وبتحطه في الزبالة بيبطل أي
+
+59
+00:04:16,530 --> 00:04:21,860
+capacitor at all تماماذا بيقولي when we said a
+
+60
+00:04:21,860 --> 00:04:24,920
+capacitor has a charge capital Q we mean that one
+
+61
+00:04:24,920 --> 00:04:28,080
+of the conductors has a charge capital Q and the
+
+62
+00:04:28,080 --> 00:04:32,280
+other has a charge minus Q ال total Q جديش؟ Zero
+
+63
+00:04:32,280 --> 00:04:36,320
+ال total Q زيرو لكن بيقوله شحن لإن ال total charge
+
+64
+00:04:36,320 --> 00:04:40,080
+is zero بيقوله شحن لإن واحد فيه Q و التاني ايش سبب
+
+65
+00:04:40,080 --> 00:04:43,540
+Q بعض عن بعض هذا لحالة و هذا لحالة عشان كده بيدرسي
+
+66
+00:04:43,540 --> 00:04:46,820
+تقول Zero لإن هو مش conductor واحد تمام؟ حلو؟
+
+67
+00:04:48,470 --> 00:04:51,070
+الكواندكترات عادة تكون لديها ايقال و لكن مقارنة
+
+68
+00:04:51,070 --> 00:04:53,310
+بسيطة لكي تكون مقارنة بسيطة لكي تكون مقارنة مقارنة
+
+69
+00:04:53,310 --> 00:04:53,930
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+70
+00:04:53,930 --> 00:04:55,850
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+71
+00:04:55,850 --> 00:04:55,970
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+72
+00:04:55,970 --> 00:05:04,830
+مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة مقارنة
+
+73
+00:05:04,830 --> 00:05:11,630
+مقارنة مقارنة مقارنة مقارنة م
+
+74
+00:05:16,620 --> 00:05:21,860
+E مجال كهربائي و V جهود كهربائي الـQ شحنة صح ولا
+
+75
+00:05:21,860 --> 00:05:27,340
+لأ؟ الـC كمية فيزيائية جيدة بتعني ساعة المكثف
+
+76
+00:05:27,340 --> 00:05:32,240
+الـcapacity of a capacitor عرفوها is defined as
+
+77
+00:05:32,240 --> 00:05:37,340
+the ratio of the magnitude of the charge Q on
+
+78
+00:05:37,340 --> 00:05:38,660
+either conductors
+
+79
+00:05:48,010 --> 00:05:50,870
+على فرق الجهد بين الانتقالات بين الانتقالات
+
+80
+00:05:50,870 --> 00:05:54,670
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+81
+00:05:54,670 --> 00:05:54,790
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+82
+00:05:54,790 --> 00:05:55,270
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+83
+00:05:55,270 --> 00:05:55,650
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+84
+00:05:55,650 --> 00:05:55,690
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+85
+00:05:55,690 --> 00:05:55,690
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+86
+00:05:55,690 --> 00:05:55,690
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+87
+00:05:55,690 --> 00:05:56,450
+والانتقالات والانتقالات والانتقالات والانتقالات
+
+88
+00:05:56,450 --> 00:06:00,450
+والانتقالات والانتقDelta V كل كده بيبقى فيك حط
+
+89
+00:06:00,450 --> 00:06:04,210
+Delta Delta Delta تغلبني هذه حط V وحط جوه المخيلة
+
+90
+00:06:04,210 --> 00:06:08,490
+عندك ان هذه فرق جهود مش جهود فاهمينش بعد؟ هي أصلا
+
+91
+00:06:08,490 --> 00:06:13,730
+فرق جهود ولكن من يوم ما طالع فرق الجهود بدي أرمض
+
+92
+00:06:13,730 --> 00:06:19,630
+وجه V و أستغني عن Delta لفة بسيط هي اللي احنا
+
+93
+00:06:19,630 --> 00:06:26,030
+بنقول لبريز جديش الجهودفرق جهود ولا جهود؟ فرق جهود
+
+94
+00:06:26,030 --> 00:06:29,530
+لكن ما نوصل برنامج V تمام هو فرق جهود بين أي نقطين
+
+95
+00:06:29,530 --> 00:06:33,230
+لما أنا أوصل المكوية هي فرق جهود بين سلكين المكوية
+
+96
+00:06:33,230 --> 00:06:36,110
+ولا لأ هي فرق جهود لكن خلاص قالك أنت فرق جهود فرق
+
+97
+00:06:36,110 --> 00:06:39,170
+جهود فانت من الجد ما زال أنت عارف أنه فرق جهود حط
+
+98
+00:06:39,170 --> 00:06:43,190
+V وخلاص فمن اليوم اللي طالع V الآن بيكون فرق جهود
+
+99
+00:06:43,190 --> 00:06:46,650
+مش جهود شباب تمام؟to the magnitude of the
+
+100
+00:06:46,650 --> 00:06:48,850
+potential difference فرق الجهد between them
+
+101
+00:06:48,850 --> 00:06:52,050
+donated year after by V من يوم ما طالع الحيوانات
+
+102
+00:06:52,050 --> 00:06:54,570
+year after من يوم ما طالع ال data V بدي أخد نزلة
+
+103
+00:06:54,570 --> 00:06:59,370
+بالرمز V و بسو 4 شباب تمام IE ايش التعليف بيقولي؟
+
+104
+00:06:59,370 --> 00:07:03,090
+C بالساعة كبتر ال Q على كبتر ال V هجيت فرق الجهد
+
+105
+00:07:03,090 --> 00:07:06,350
+ممكن تكون موجبة و ممكن تكون سالب؟ صح و ال Q ممكن
+
+106
+00:07:06,350 --> 00:07:09,030
+تكون موجبة و ممكن تكون سالب؟ هجيت انت بتقولك خد ال
+
+107
+00:07:09,030 --> 00:07:11,990
+Q موجبة و لا سالب الجهد طلع موجبة و لا سالب في
+
+108
+00:07:11,990 --> 00:07:15,550
+الآخر تاخد ايش؟ أبسولت راليو ولا عمار كنت سمعت عند
+
+109
+00:07:15,550 --> 00:07:19,030
+جزازة ساعتها سالبة؟ مافيش الساعة بتقنفعش تكون
+
+110
+00:07:19,030 --> 00:07:22,450
+سالبة تمام؟ ماهي الساعة خلاص الساعة ده ماهي موجبة
+
+111
+00:07:22,450 --> 00:07:27,880
+حلو هى الساعة كدهش واحدتها؟كلهم على volt فبعد ساعة
+
+112
+00:07:27,880 --> 00:07:33,080
+برضه صارت كمية تجارية هجي تروح انت لاقي واحد تسمه
+
+113
+00:07:33,080 --> 00:07:36,300
+تاجر ولا واحد بيبيه يقوله اه جيجي ليه جيبلي مكثف
+
+114
+00:07:36,300 --> 00:07:43,140
+كذا فاراد بديكيه اذا معناته صارت لغة تجارية وصارت
+
+115
+00:07:43,140 --> 00:07:47,000
+مشهورة زي ال volt فتدوها وحدة هي الفاراد وهي
+
+116
+00:07:47,000 --> 00:07:51,830
+بتساوي كلهم على voltThe capacitance is always a
+
+117
+00:07:51,830 --> 00:07:54,870
+positive quantity لأنه سعة، لا يمكن أن تكون
+
+118
+00:07:54,870 --> 00:07:57,990
+نيجاتيف.Thus, a unit of capacitance C is column
+
+119
+00:07:57,990 --> 00:08:02,390
+per volt.هذه أصلها.This unit is referred as فراد
+
+120
+00:08:02,390 --> 00:08:06,530
+.That is واحد فراد مستوى واحد كلهم على بولت.سهل.Is
+
+121
+00:08:06,530 --> 00:08:11,090
+MC لها خاصة؟ أه.الفراد وحدية إيه يا شباب؟السعة.ال
+
+122
+00:08:11,090 --> 00:08:14,870
+capacitance.حلو.علاقاتها بالكلوم والولت معروفة من
+
+123
+00:08:14,870 --> 00:08:21,490
+قلوها الأصلي.تمام.كيف بدي احسبها؟ كيف بدي احسبها؟
+
+124
+00:08:21,490 --> 00:08:24,610
+جالي احسبها لما انت اعرفتها مش بساوي كيوع فرق جهود
+
+125
+00:08:24,610 --> 00:08:27,750
+طب فرق الجهود لما انت شافتها من الماضي علمتي كيف
+
+126
+00:08:27,750 --> 00:08:30,550
+اجيب فرق الجهود من نقطين ولا لا شباب لما بيقول
+
+127
+00:08:30,550 --> 00:08:34,030
+التكامل من من نقطة لنقطة اذا نشتغل على هذا الاساس
+
+128
+00:08:34,030 --> 00:08:37,470
+calculation of capacitance كي بدت تحسب ال
+
+129
+00:08:37,470 --> 00:08:42,230
+capacitance ينساش انه في المحلات في عنده حد عنده
+
+130
+00:08:42,230 --> 00:08:46,860
+هواية الأجهزة الكهربائية شبابيعني غسلات و
+
+131
+00:08:46,860 --> 00:08:50,720
+تلفزيونات و مسجلات هذه الكباسيطار بتلاقيها في كل
+
+132
+00:08:50,720 --> 00:08:54,040
+جهاز انت قرأت لو اتروحت عند واحد من برج جهو هنا
+
+133
+00:08:54,040 --> 00:08:57,080
+بيبيع أجهزة كرمأية صغيرة غير الجرو بيبيع الأجهزة
+
+134
+00:08:57,080 --> 00:09:00,020
+الغسلات و الشغلات في واحد تاني بتروح تقول والله
+
+135
+00:09:00,020 --> 00:09:04,680
+بدي كباسيطارنفترض عشرة ميكروفيرات بتطلع حطتهم في
+
+136
+00:09:04,680 --> 00:09:07,640
+سلة اكتار بتطلع عليهم بيديك واحد مكتوب عليها عشرة
+
+137
+00:09:07,640 --> 00:09:11,500
+ميكروفيرات طب هو إذا السعة محسوبة و لا مش محسوبة؟
+
+138
+00:09:11,500 --> 00:09:14,280
+محسوبة و مكتوبة طب كيف حسبوها؟ بنتعلم كيف تنحسب
+
+139
+00:09:14,280 --> 00:09:17,560
+السعة لأنها مكتوبة على كل واحد زي ال .. زي
+
+140
+00:09:17,560 --> 00:09:21,540
+المقاومات خدتوا في المختبر بالألوان تحسب ولا لا؟
+
+141
+00:09:21,540 --> 00:09:23,880
+طبعا المقاومات وانت خدتوا في المدارس تعتمد على
+
+142
+00:09:23,880 --> 00:09:28,040
+الطول وعنه علمات ده صح ولا لا ونسخطرها؟ أه و سمكان
+
+143
+00:09:28,040 --> 00:09:32,180
+نسخطرها يعنيبقول إن في عدة أنواع لـ Capacitors فى
+
+144
+00:09:32,180 --> 00:09:37,740
+عندي تلاتة مشهورين فى أشهرهم Pile Plate Capacitor
+
+145
+00:09:37,740 --> 00:09:41,400
+كيف رمز الـ Capacitor فى الدواء الكهرباى ياخدوها؟
+
+146
+00:09:41,400 --> 00:09:46,280
+عصالتين صح ولا .. هذه العصاية خط ولا .. ولا صفيحة؟
+
+147
+00:09:46,280 --> 00:09:49,980
+صفيحة هي أصلها هاي ال Capacitor هاي Pile Plate
+
+148
+00:09:49,980 --> 00:09:52,520
+Capacitor يا شباب الرمز إجا من هذا ال Capacitor
+
+149
+00:09:52,520 --> 00:09:57,000
+جالك حط صفيحة أكبر صفيحة و أنا أحط خط أكبر خط هاي
+
+150
+00:09:57,000 --> 00:10:01,670
+الصفيحةوهي كبير صفيحة هذا conductor وهذا conductor
+
+151
+00:10:01,670 --> 00:10:05,250
+بينهم مرهوة وهي وسط عزل وهي ال capacitor طبعا هذا
+
+152
+00:10:05,250 --> 00:10:09,730
+مش خط شباب هيه و هيه فانتوا عليها شباب أشهرهم برا
+
+153
+00:10:09,730 --> 00:10:13,490
+ال place capacitor ال place مقاتل صفيحة إذا ال
+
+154
+00:10:13,490 --> 00:10:17,310
+capacitor بالصفيحتين المتوازيتين هذا أشهرهم جال
+
+155
+00:10:17,310 --> 00:10:22,670
+يرسم عشان نعرف نشتغل جال هذا هو صفيحة فجأة صفيحة
+
+156
+00:10:22,670 --> 00:10:27,220
+تمام؟ لما نرسمهاالكباسيتر يكون من اتجاه اتجاه
+
+157
+00:10:27,220 --> 00:10:28,440
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+158
+00:10:28,440 --> 00:10:30,840
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+159
+00:10:30,840 --> 00:10:36,560
+اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه
+
+160
+00:10:39,480 --> 00:10:43,340
+of equal area a تتنجب بعض حطهم separated by a
+
+161
+00:10:43,340 --> 00:10:47,280
+distance d and immersed in vacuum هو انا غمرهم في
+
+162
+00:10:47,280 --> 00:10:50,200
+ال vacuum في الهواء يعني وسط اللي بينهم ايش؟ هواء
+
+163
+00:10:50,200 --> 00:10:53,860
+و هواء وسط عزل ولا لا؟ وسط عزل هذا هو شرط ال
+
+164
+00:10:53,860 --> 00:10:57,780
+conductor الفوق أحمر موجب و اللي تحت أزرق سالب
+
+165
+00:10:57,780 --> 00:11:01,440
+تمام زي ما احنا شعنتم قال لي خليني احطهم هيك هال
+
+166
+00:11:01,440 --> 00:11:04,990
+gate زي الرسمة تبعتهم الحلوة تمام؟انت بدأت تجيب
+
+167
+00:11:04,990 --> 00:11:07,970
+الجهد والجهد بيجي من المجال اصلا من المجال خطوط
+
+168
+00:11:07,970 --> 00:11:11,990
+المجال من الموجب للسالب ولا لأ ه من الموجب للسالب
+
+169
+00:11:11,990 --> 00:11:15,790
+المسافة اللي بينهم دي high positive شايفين
+
+170
+00:11:15,790 --> 00:11:18,390
+positive اللي ها وهذا negative طبعا الألوان بتعطيك
+
+171
+00:11:18,390 --> 00:11:20,750
+positive و negative وبالتالي خطوط المجال بتروح من
+
+172
+00:11:20,750 --> 00:11:23,750
+positive ل negative طبعا انا رسمتها خطوط متوازية
+
+173
+00:11:23,750 --> 00:11:27,090
+شباب تمام قد ما تشوف ايش البرس في معانا بيقول if
+
+174
+00:11:27,090 --> 00:11:30,780
+the separation دي شايفين المسافة ديE is small
+
+175
+00:11:30,780 --> 00:11:34,340
+compared to the size of the blades إذا كانت D
+
+176
+00:11:34,340 --> 00:11:38,580
+صغيرة، بتقدر تقول كل نقطة جوا تعتبر just outside a
+
+177
+00:11:38,580 --> 00:11:43,440
+conductor؟ جراب عبارة شداد، هاي معناه دي small،
+
+178
+00:11:43,440 --> 00:11:46,420
+جراب عبارة كتير، أي نقطة جوا بتقدر تعتبرها just
+
+179
+00:11:46,420 --> 00:11:50,020
+outside a conductor؟ مش قريبة a conductor؟ just
+
+180
+00:11:50,020 --> 00:11:54,140
+outside a conductor، إذا E is perpendicular to the
+
+181
+00:11:54,140 --> 00:11:58,220
+surface and equal to؟سيجما علي ابسل نوت ليه زيرو
+
+182
+00:11:58,220 --> 00:12:01,680
+just outside a conductor equal to sigma علي ابسل
+
+183
+00:12:01,680 --> 00:12:07,380
+نوت مش زيرو اذا بقوله if the separation d is small
+
+184
+00:12:07,380 --> 00:12:10,480
+compared to the size of the place we can assume
+
+185
+00:12:10,480 --> 00:12:14,000
+that any point inside the conductor the capacitor
+
+186
+00:12:14,000 --> 00:12:17,480
+sorry is very close to a conductor بتكون جريبة
+
+187
+00:12:17,480 --> 00:12:21,690
+كتير على conductor يعني just outside a conductorفي
+
+188
+00:12:21,690 --> 00:12:25,210
+هذه الحالة بيقوللي E بتساوي sigma على epsilon نقطة
+
+189
+00:12:25,210 --> 00:12:29,470
+دي بتقيمة E طب E sigma على epsilon نقطة sigma
+
+190
+00:12:29,470 --> 00:12:33,010
+ثابتة و epsilon نقطة ثاكتر صح ولا لأ اذا معناته
+
+191
+00:12:33,010 --> 00:12:35,830
+انت بتشتغل معي uniform electric field عشان كده
+
+192
+00:12:35,830 --> 00:12:39,050
+رسمت خطوط متوازية طبعا هو الصح اني لما اجرب على
+
+193
+00:12:39,050 --> 00:12:43,750
+حواف شباب هدي تقوش فالنص بيكون uniform لكن على
+
+194
+00:12:43,750 --> 00:12:47,070
+الحواف لأ بس انا بدي اعتبر ان الحواف هدول ابعد عني
+
+195
+00:12:47,070 --> 00:12:52,360
+و انا اخدي جزء من الأطراف بس المشكلةأنا كيف دي
+
+196
+00:12:52,360 --> 00:12:54,360
+باستجمع على epsilon note أصلا باستخدام قانون جاوس
+
+197
+00:12:54,360 --> 00:12:57,300
+ولا لأ؟ وقانون جاوس لما طبقته قولت فيل ونملة ولا
+
+198
+00:12:57,300 --> 00:13:00,840
+لأ؟ و .. و .. و النملة شايفة حواف الفيل؟ ماقلنا
+
+199
+00:13:00,840 --> 00:13:03,120
+محيط الفيل بالنسبالي لأ، مانفعش أبدأ عندي الحواف
+
+200
+00:13:03,120 --> 00:13:05,780
+اللي .. كل القانون اللي انا استغلت عليه كل برنامج
+
+201
+00:13:05,780 --> 00:13:08,440
+صحيح، وذاكر إنه لما قلنا عندي الحواف بيصير هيك مش
+
+202
+00:13:08,440 --> 00:13:11,220
+شالك المجال، بطل هيك، تمام؟ فعندي الحواف اللي
+
+203
+00:13:11,220 --> 00:13:15,670
+بيصير في عنده، بيه رسمات على هذه القضية، تمام؟لأ
+
+204
+00:13:15,670 --> 00:13:22,230
+ان المجال خارج الكباسيتر لا يوجد فيه مجال ولا هنا
+
+205
+00:13:22,230 --> 00:13:24,750
+فيه مجال ليش؟ بيقول ما هو المجال ببدأ من هنا و
+
+206
+00:13:24,750 --> 00:13:27,990
+بخلص هنا ببدأ هنا و بخلص هنا طب انا بدي اديكم شغلة
+
+207
+00:13:27,990 --> 00:13:31,590
+تانية جيلي كيف بدي انا ارسمها يعني اثبتها غير هيك
+
+208
+00:13:31,590 --> 00:13:37,390
+اثبات؟ جيلي حلو نقطة المجال من هنا جاية من الحمراء
+
+209
+00:13:37,390 --> 00:13:42,140
+ولا من الحمراء والزرقاء؟النقطة هادى المجال جاى من
+
+210
+00:13:42,140 --> 00:13:45,140
+الحمرة بس و لا من الحمرة و الزرقال ماشينا فيه
+
+211
+00:13:45,140 --> 00:13:48,020
+شحنات و مينا فيه شحنات طب خلّينا نشتغل كل واحد
+
+212
+00:13:48,020 --> 00:13:51,440
+لحالي شباب اجيب الحمرة لحالي و الزرقال لحالي نبدأ
+
+213
+00:13:51,440 --> 00:13:57,080
+بالحمرة هاى الرد عشان انا ماعيش كلام الا رد خاطف
+
+214
+00:13:57,080 --> 00:14:03,100
+المجال هادى red positive كيف بيكون صحيك شباب مشاكل
+
+215
+00:14:03,100 --> 00:14:09,040
+خاطف المجال طيب هادى blue لحالها هجيتفي هذه اللقطة
+
+216
+00:14:09,040 --> 00:14:13,400
+just outside لأ مش just outside جبتها ل ال plate
+
+217
+00:14:13,400 --> 00:14:16,680
+تذكرين الورقة اللي حلناها في جوز ال surface طلعت E
+
+218
+00:14:16,680 --> 00:14:20,100
+بتساوي سيجما على epsilon note بس هنا حطيت اتنين
+
+219
+00:14:20,100 --> 00:14:24,860
+ايامها هذه E ل plate واحدة E ل plate واحدة في جوز
+
+220
+00:14:24,860 --> 00:14:28,300
+ال surface حليتها انا وياكم لما جبت الورقة وحطيت
+
+221
+00:14:28,300 --> 00:14:32,260
+الستوانة وخرجنا الورقة وظننا يستلقى طلعتك النتيجة
+
+222
+00:14:32,980 --> 00:14:37,280
+هذه بس الحمرة قال لي حلو جيبي الزرقاء هي دم اجيبي
+
+223
+00:14:37,280 --> 00:14:42,540
+الزرقاء شباب هذي ال blue انسى الحمرة مش موجودة
+
+224
+00:14:42,540 --> 00:14:47,220
+الحمرة ال blue موجودة ولا سالبة كيف خطها بدو يكون
+
+225
+00:14:47,220 --> 00:14:52,400
+صح
+
+226
+00:14:52,400 --> 00:14:55,900
+ولا لأ جدش ايه دلوقتي نفس العملية بس انت مايعرفش
+
+227
+00:14:55,900 --> 00:14:59,880
+انه يتغير تفهم ياراه هجيتي جيبلي المجال هجيتي
+
+228
+00:14:59,880 --> 00:15:05,000
+المجال أكم خطهنا و هنا زي بعض ولا عكس بعض ايش
+
+229
+00:15:05,000 --> 00:15:11,300
+بيصير فيهم طب هنا و هنا نفس بعض ولا لا سيجما على
+
+230
+00:15:11,300 --> 00:15:18,480
+تين ابسل نوت و سيجما على تين ابسل نوت طب هنا كده
+
+231
+00:15:18,480 --> 00:15:24,290
+ايش؟ Zeroهي انا جبتها بطريقة تانية بيقولي not that
+
+232
+00:15:24,290 --> 00:15:26,670
+the electric field outside the capacitor is zero
+
+233
+00:15:26,670 --> 00:15:31,230
+بيقولي why؟ غاضح ليش why لأنه بيلغوا بعض بس جوا
+
+234
+00:15:31,230 --> 00:15:36,030
+بيلغوش بعض بيجمعوا بيصير نص سيجما علي ابسلون نوت و
+
+235
+00:15:36,030 --> 00:15:38,530
+نص سيجما علي ابسلون نوت بتطلع عندي سيجما علي
+
+236
+00:15:38,530 --> 00:15:43,510
+ابسلون نوت المهم طلعتها سيجما علي ابسلون نوت هي
+
+237
+00:15:43,510 --> 00:15:46,610
+ايه هنا سفر و ايه هنا سفر و انا سبتها انا و اياكم
+
+238
+00:15:46,610 --> 00:15:51,170
+تمامThe value of the electric field inside the
+
+239
+00:15:51,170 --> 00:15:54,370
+capacitor is therefore uniform and equal to سجما
+
+240
+00:15:54,370 --> 00:15:58,150
+علي أبسلون نوت عرفنا، صح ولا لأ؟ الآن، with سجما
+
+241
+00:15:58,150 --> 00:16:01,170
+بالساقية علي أيه؟ ولا نسيناها هذه؟ الشحنات مين
+
+242
+00:16:01,170 --> 00:16:06,450
+محطوطة هم؟ على السطح، على السطح أيش؟ البنية، يعني
+
+243
+00:16:06,450 --> 00:16:10,610
+ال area هذه، مساحة مين؟ بيصير في خطأ دايما عن
+
+244
+00:16:10,610 --> 00:16:13,970
+الشباب، بيقولي هي ال capacitor، رجعنا، بفكروا ال
+
+245
+00:16:13,970 --> 00:16:18,770
+area هذهلأ مش هذه .. هذا قطة ولا بليت؟ بليت، هذه
+
+246
+00:16:18,770 --> 00:16:23,530
+مساحة البليت، واضح؟ لأن الشحنات هناك، تانى ده
+
+247
+00:16:23,530 --> 00:16:26,830
+potential difference هذي P D potential difference
+
+248
+00:16:26,830 --> 00:16:30,630
+فرق جهد بدي أجيب، مش انا بدي C في الأخر شباب بصير
+
+249
+00:16:30,630 --> 00:16:34,110
+Q على D الشكل النتجة، انا بدي أحسب C من هذا
+
+250
+00:16:34,110 --> 00:16:39,090
+القانون، فبديها دي هذي V ولا Δ V أصلها؟ بين مين
+
+251
+00:16:39,090 --> 00:16:45,170
+ومين؟بين ترفيه الكبسيطر يعني بين هذه وبين هذه فعلا
+
+252
+00:16:45,170 --> 00:16:48,010
+يعني هي initial final وهي ال point هي final point
+
+253
+00:16:48,010 --> 00:16:51,490
+هي delta V V final مقص V initial طب و أنا ماشي من
+
+254
+00:16:51,490 --> 00:16:53,810
+هنا أي مجال بالدين اللي برا ولا اللي هنا ولا اللي
+
+255
+00:16:53,810 --> 00:16:58,210
+هنا بس هذا اللي قيمته sigma على epsilon note واضح
+
+256
+00:16:58,210 --> 00:17:00,890
+شباب لإن انا بدي أجمع من initial ل final لإن V
+
+257
+00:17:00,890 --> 00:17:04,950
+ماهيش جهود ان نقطة الآن هو فرق جهود بين ترفيه
+
+258
+00:17:04,950 --> 00:17:11,690
+الكبسيطر فبقول لي V بتساويمن الصلبة الموجودة من
+
+259
+00:17:11,690 --> 00:17:15,930
+الـ E شرفاية من الصلبة الموجودة أتبرقى تمام يعني
+
+260
+00:17:15,930 --> 00:17:22,390
+من الزرجل الحمرا واضح؟ E بطل DL بقول since E is
+
+261
+00:17:22,390 --> 00:17:26,450
+constant لإن أنا بسوى سجم على أبسل نور Uniform I'm
+
+262
+00:17:26,450 --> 00:17:29,210
+directed from the positive to the negative plate
+
+263
+00:17:29,210 --> 00:17:36,200
+وهي عكس DL وقصان الـ180 سالب تمام we can writeV
+
+264
+00:17:36,200 --> 00:17:39,360
+طلعت E او الـD طلعت روحها الـDL الـDL مش هي
+
+265
+00:17:39,360 --> 00:17:42,920
+المسافة بين الأولى والتانية و اديتها الرمز D انا
+
+266
+00:17:42,920 --> 00:17:50,180
+طلعت الجواب. اذا V بتساوي E طب مش E بتساوي سجن على
+
+267
+00:17:50,180 --> 00:17:54,260
+أبسل نوت شباب؟وهي دي طب سيجما بيساوي Q على A ولا
+
+268
+00:17:54,260 --> 00:17:59,680
+مش بتساويش Q على A بتساوي Q على A هاي طلعت V ها دي
+
+269
+00:17:59,680 --> 00:18:07,280
+طلعت طبق هنا في Q هنا في Q بوحة Q مع Q صح طلع C ها
+
+270
+00:18:07,280 --> 00:18:13,960
+دي E وها دي سيجما تمام الان Now C بيساوي Q على V
+
+271
+00:18:13,960 --> 00:18:18,940
+القانون اللي بتجيب عنه طلعناه وطلعت هيك هاي الجواب
+
+272
+00:18:18,940 --> 00:18:24,440
+هذا بدنا نحفظهC بيساوي E على D طيب شباب طلعوا على
+
+273
+00:18:24,440 --> 00:18:31,500
+القانون فى Q لو ماكنش مشحون إله سعة اه فى Q هنا
+
+274
+00:18:31,500 --> 00:18:36,480
+عوض و Q صفر اتغيرت هذا النتيجة إذا السعة من
+
+275
+00:18:36,480 --> 00:18:41,380
+هالجواب الشحنة فى V فرخ جود لأ أنا مش موصف في
+
+276
+00:18:41,380 --> 00:18:45,100
+كهربا فإله السعة اه طبعا إيش السعة بتعتمد قولي هي
+
+277
+00:18:45,100 --> 00:18:48,780
+تعتمد على مساحته ومسافة اللي بينهم و E أبسل نوت
+
+278
+00:18:48,780 --> 00:18:52,560
+أبسل نوت إيش بيمثل الوسط العاسقمش epsilon note هو
+
+279
+00:18:52,560 --> 00:18:56,280
+ثابت النفاذية الكهرباية للفراخ تمام؟ إذا معناته
+
+280
+00:18:56,280 --> 00:19:00,600
+لما يرميلي في السلة كبسطر و كتبلي جديش كيلو كبسطر
+
+281
+00:19:00,600 --> 00:19:03,900
+انسبعته صح مع الواحد بيقولك تنور مش مشعون وانت
+
+282
+00:19:03,900 --> 00:19:06,600
+بتقوللي C بالثورة كيلو على D طلع على احنا القانون
+
+283
+00:19:06,600 --> 00:19:12,880
+الشباب لو هذه زابت بتزيد هذه؟ لأ زي الخزانة ساعتها
+
+284
+00:19:12,880 --> 00:19:17,500
+تنفذت طبعا طب إذا زادت هاتيش بتزيد بيقولك هذا
+
+285
+00:19:17,500 --> 00:19:21,640
+بتزيد عشان أزله هذه ثابتةفاهمت عليها؟ لأن هاي الـC
+
+286
+00:19:21,640 --> 00:19:24,920
+عارف تتمت تتمتش دي على الـQ وعلى الـV فدائما
+
+287
+00:19:24,920 --> 00:19:27,660
+العارف بتكون عارف الـK بقى هو عارف القانون اللي
+
+288
+00:19:27,660 --> 00:19:31,400
+كلكم حافظينه بقولك Q زادت بقولهم فيزي زادت على طول
+
+289
+00:19:31,400 --> 00:19:35,360
+اه V زادت و بعدين لأ لأ والله اللي عارف تصيرش شيء
+
+290
+00:19:35,360 --> 00:19:37,920
+فاهمت عليها؟ إذا ان الارواح قدر الميئة هذي زادت
+
+291
+00:19:37,920 --> 00:19:42,750
+هذي زادتهذه جلة وهذه جلة والعكس صحيح لكن هذه لا
+
+292
+00:19:42,750 --> 00:19:46,650
+تعتمد إلا على ابسلون نوت او ايه او دي يعني بتعتمد
+
+293
+00:19:46,650 --> 00:19:49,830
+على التركيبة تبع الكباسيدر ال issue التركيبة مساحة
+
+294
+00:19:49,830 --> 00:19:53,070
+ال place والبُقات بينهم والوسط العازل اللي بينهم
+
+295
+00:19:53,070 --> 00:19:56,910
+ماذا هو الكباسيدر؟ two compactors بينهم وسط عازل
+
+296
+00:19:56,910 --> 00:20:01,650
+الوسط العازل له دعوة بيبين بالمثل ابسلون نوت ال
+
+297
+00:20:01,650 --> 00:20:06,010
+two compactors اللي هم أحجام اللي هم البُقات بينهم
+
+298
+00:20:06,010 --> 00:20:13,220
+والمساحة تبعتهمهذا يعني أن القوام يعتمد فقط على
+
+299
+00:20:13,220 --> 00:20:17,380
+جيومتري القوام بيعتمد فقط على التركيبة الهندسية
+
+300
+00:20:17,380 --> 00:20:18,120
+للقوام بيعتمد فقط على التركيبة الهندسية للقوام
+
+301
+00:20:18,120 --> 00:20:18,640
+بيعتمد فقط على التركيبة الهندسية للقوام بيعتمد فقط
+
+302
+00:20:18,640 --> 00:20:18,840
+على التركيبة الهندسية للقوام بيعتمد فقط على
+
+303
+00:20:18,840 --> 00:20:19,500
+التركيبة الهندسية للقوام بيعتمد فقط على التركيبة
+
+304
+00:20:19,500 --> 00:20:19,900
+الهندسية للقوام بيعتمد فقط على التركيبة الهندسية
+
+305
+00:20:19,900 --> 00:20:21,660
+للقوام بيعتمد فقط على التركيبة الهندسية للقوام
+
+306
+00:20:21,660 --> 00:20:26,220
+بيعتمد فقط على التركيبة الهندسية للقوام بيعتمد
+
+307
+00:20:26,220 --> 00:20:29,840
+فقط
+
+308
+00:20:29,840 --> 00:20:33,810
+على التركيبةبيقول لي هي تناسب .. تناسب انطريا مع
+
+309
+00:20:33,810 --> 00:20:38,530
+المساحة وعكسيا مع دي .. بيقول لي كل ما كبعتهم عن
+
+310
+00:20:38,530 --> 00:20:42,470
+بعد السعب تجيل .. كل ما بعتهم عن بعد السعب تجيل ..
+
+311
+00:20:42,470 --> 00:20:46,950
+وكل ما كبرت مساحتهم السعب تزيل .. تبتديت زي بعض ..
+
+312
+00:20:46,950 --> 00:20:49,910
+اه اصلا لو كبرت اتنين يعني تجيب انت ورقتين ايه
+
+313
+00:20:49,910 --> 00:20:53,450
+فوله او اكتن ب .. ب .. ب .. ب five .. تفرق و اكتن
+
+314
+00:20:53,450 --> 00:20:56,070
+المعدن طبعا مش ورقتين من الورق .. تمام؟ عشان
+
+315
+00:20:56,070 --> 00:21:05,480
+يكونوا كنت بكترWe will see later that
+
+316
+00:21:05,480 --> 00:21:08,540
+if the medium between the blades is not vacuumed,
+
+317
+00:21:08,540 --> 00:21:11,260
+this constant should be multiplied by a factor
+
+318
+00:21:19,170 --> 00:21:22,950
+السيركيتز اللي انتوا عارفينها الكمبيوتر والبطاريه
+
+319
+00:21:22,950 --> 00:21:25,810
+مميزه كشون هتمولوا علينا البطاريه ايش معاها
+
+320
+00:21:25,810 --> 00:21:28,710
+البطاريه البطارية هتمولوا من يوم اطلع شوية
+
+321
+00:21:28,710 --> 00:21:31,430
+البطارية بيقولوا هاي الكمبيوتر في حد مارفعش
+
+322
+00:21:31,430 --> 00:21:38,430
+وبطارية طبعا الكبيرة حمرا ولا لا والصغيرة الزرقه
+
+323
+00:21:38,430 --> 00:21:41,370
+الكبيرة هي الموجب والصغيرة هي السرقه هاي هنكون
+
+324
+00:21:41,370 --> 00:21:45,010
+رموز اللي هنستخدمها طب بيقولوا كيف احنا بنشحن
+
+325
+00:21:45,010 --> 00:21:49,140
+الكمبيوتر بيقولوا when we charge a capacitorفكيف
+
+326
+00:21:49,140 --> 00:21:53,940
+نشحنه؟ فبنوصل البطارية وراها شبال نستطيع نشحن
+
+327
+00:21:53,940 --> 00:21:58,760
+كباسيتر بإتصاله عبر ترميل البطارية ترميل الطرفين
+
+328
+00:21:58,760 --> 00:22:03,520
+أطراف البطارية خلينا نشحنه هذا هو حيث أنا شحنته
+
+329
+00:22:03,520 --> 00:22:07,120
+إيش بده يصير؟ بقول إيش بده يصير؟ in doing so
+
+330
+00:22:07,120 --> 00:22:10,780
+electrons transfer وخلينا أولا الرسم أحلى هكذا
+
+331
+00:22:10,780 --> 00:22:11,200
+بنشحن
+
+332
+00:22:13,970 --> 00:22:17,290
+اللي بتحرك Electron شباب أزرق شايفينه؟ إيش اللي
+
+333
+00:22:17,290 --> 00:22:20,670
+حركوه؟ بيقولوا هذا قطب موجب، إيش اللي بيأكل جنبه؟
+
+334
+00:22:20,670 --> 00:22:25,670
+الإلكترونات، مظبوط؟ مش هذا قطب موجب؟ وهذا كوندكتر؟
+
+335
+00:22:25,670 --> 00:22:28,070
+فيه free electrons ولا لأ؟ فيه free electrons،
+
+336
+00:22:28,070 --> 00:22:31,650
+بيجوا هيك، و بيمشوا، طب هذا أخدت منه إلكترون، هو
+
+337
+00:22:31,650 --> 00:22:34,570
+مش بيصير باله زي ما هو ولا بيصير موجب، طب
+
+338
+00:22:34,570 --> 00:22:37,530
+الإلكترون اللي أخدته ووديته، بيصير هذا موجب وهذا
+
+339
+00:22:37,530 --> 00:22:41,140
+سالمطب هو ايش النجا الالكترون من هالهال؟ مانه هاد
+
+340
+00:22:41,140 --> 00:22:44,180
+الالكترون و هاد سالب يتنافع بيقول هي شغل البطارية
+
+341
+00:22:44,180 --> 00:22:47,800
+هو اللي جاية البطارية شغل البطارية شغلتها تنجو
+
+342
+00:22:47,800 --> 00:22:50,720
+الالكترون من الأعلى جهة دي لأقل جهة و تحطه حطته
+
+343
+00:22:50,720 --> 00:22:54,300
+هنا خلاص انا سهل عليه بتنافعه من جهان اللي هي
+
+344
+00:22:54,300 --> 00:22:58,120
+شغلتها زي بالظبط بتعرفوا نفرت الميه؟ شوفوها في
+
+345
+00:22:58,120 --> 00:23:02,560
+الجند المجهول هنا؟ ايش الميه؟ على الميه بتطلع ولا
+
+346
+00:23:02,560 --> 00:23:05,900
+في مطور؟المطلوب ايش بيسوي؟ بينجول الميه من فوق ل
+
+347
+00:23:05,900 --> 00:23:11,340
+.. من تحت لفوق، في مطلوب فوق تنزلها تحت؟ تمام؟ إذا
+
+348
+00:23:11,340 --> 00:23:15,420
+طيب الميه .. تقولكم الميه جديدة؟ لأ، هي نفس الميه،
+
+349
+00:23:15,420 --> 00:23:18,300
+هي نفس الميه، بياخدها من تحت و بيطلحها، بياخدها من
+
+350
+00:23:18,300 --> 00:23:20,860
+تحت و بيطلحها، اول ما بيطلحها فوق تنزلها على، بيجي
+
+351
+00:23:20,860 --> 00:23:23,000
+نمسكها و بيطلحها، البطارية هي ايش بيسوي؟ ايش
+
+352
+00:23:23,000 --> 00:23:26,000
+بيسوي؟ بيقولني هذا الإلكيون غصب العالم بيجي هان
+
+353
+00:23:26,000 --> 00:23:29,560
+بفئة قوة التجاذب، شباب، لكن إيش بيجيبوا منها اله
+
+354
+00:23:30,920 --> 00:23:33,620
+بيجي لحاله هيدا مرضه بقعده ساري بيبقى على الساري
+
+355
+00:23:33,620 --> 00:23:38,500
+بالليتوين بطبيعة حاله بيده ايد او مطور ينجله من
+
+356
+00:23:38,500 --> 00:23:42,060
+هالهال ايش هو هذا المطور هو بطارية هاي شغل
+
+357
+00:23:42,060 --> 00:23:44,540
+البطارية مش فيه عندنا تبعادات كيميائية جوا شغل
+
+358
+00:23:44,540 --> 00:23:49,440
+البطارية في قوة دافعة كعربية بتدفع الليتوين من
+
+359
+00:23:49,440 --> 00:23:52,540
+هالهال اول ما يصل الهال يقول هيعطيك العافية البدا
+
+360
+00:23:52,540 --> 00:23:59,890
+بكمل الحاجة بروح بكمل طبعاوين هو؟ ومين جالك؟ هو
+
+361
+00:23:59,890 --> 00:24:04,610
+اللي عمله .. هو اللي عمله .. هو اللي .. في الأول
+
+362
+00:24:04,610 --> 00:24:10,070
+كان متعالج ابنى .. هكذا .. عجبش .. أول يحصل .. إجا
+
+363
+00:24:10,070 --> 00:24:13,770
+.. هاي الاترون .. رقع هنا .. صاحب السلم .. التاني
+
+364
+00:24:13,770 --> 00:24:18,310
+.. بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+365
+00:24:18,310 --> 00:24:19,710
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+366
+00:24:19,710 --> 00:24:19,870
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+367
+00:24:19,870 --> 00:24:19,910
+بيجي .. بيجي .. بيجي .. بيجي .. بيجي .. بيجي ..
+
+368
+00:24:19,910 --> 00:24:30,330
+بيجي .. بيجي .. بيجي .. بيجي .. بيلما جهد الفطارية
+
+369
+00:24:30,330 --> 00:24:35,570
+صار جهد المكثف الصالبة صار مجادرة الفطارية عليها و
+
+370
+00:24:35,570 --> 00:24:38,190
+بتقولها بتكلعت خلاص بس ان كنت انشعلها ماشعناش
+
+371
+00:24:38,190 --> 00:24:41,630
+بيكون جمع هنا شحنات بيصير head capital Q و head
+
+372
+00:24:41,630 --> 00:24:44,610
+sales Q طلع الشباب عشان كده يجب تساوي انه انا طلعت
+
+373
+00:24:44,610 --> 00:24:47,430
+هنا إلكترون و انا راح هنا لو هنا عشر إلكترونات هنا
+
+374
+00:24:47,430 --> 00:24:51,450
+جد ايشعشرة عشان كده تكون الشحنات متساوية لأنه أصل
+
+375
+00:24:51,450 --> 00:24:54,590
+النيترون يجي من هنا و يروح من هنا نجلة مية هي يجي
+
+376
+00:24:54,590 --> 00:24:59,550
+مية نجلة ألف هي يجي ألف فهي عملية مقل الشحنات هيك
+
+377
+00:24:59,550 --> 00:25:03,890
+بتبقى عملية الشحن بالظبط تنتقل الشحنات من plate
+
+378
+00:25:03,890 --> 00:25:08,350
+كانت متعادلة بفعل قوة الجذب من القطب الموجب تبع
+
+379
+00:25:08,350 --> 00:25:12,390
+البطارية تنجب البطارية شغلتها تنقل النيترونللسالي
+
+380
+00:25:12,390 --> 00:25:15,050
+والسالي بيروح هناك هاي electron انتقل صار hard
+
+381
+00:25:15,050 --> 00:25:18,650
+positive و hard negative و كده بجرح تمشي لما جهود
+
+382
+00:25:18,650 --> 00:25:22,710
+هادي يسووا جهود هادي بيتجهل الحركة طبعا هم بيقول
+
+383
+00:25:22,710 --> 00:25:25,710
+تتحرك الشحنات أو تنتقل الشحنات من الجهود اللي أقل
+
+384
+00:25:25,710 --> 00:25:27,710
+.. من الجهود اللي .. على الجهود اللي أقل حتى تسوى
+
+385
+00:25:27,710 --> 00:25:34,390
+الجهود لما تتسوى الجهود بتخيل احكي اه
+
+386
+00:25:34,390 --> 00:25:39,300
+.. اه وين انتقلت حبيبي هي؟بقولك انت جالك من هال
+
+387
+00:25:39,300 --> 00:25:45,360
+لها هرجعش انا بدي اقولك هاي جهود 100 volt و هاي
+
+388
+00:25:45,360 --> 00:25:52,100
+جهود 1 volt تمام؟ يالا انتجلوا يا شحنات بديش وصلهم
+
+389
+00:25:52,100 --> 00:25:57,200
+انا انتجلوا يا شحنات بنتقلوا؟ لأ اذا نجيكيهم عمل
+
+390
+00:25:57,200 --> 00:26:01,300
+ايه؟ عرفين بتاعي ايه؟ بتعرفيش نجل من هال لها بهالي
+
+391
+00:26:01,300 --> 00:26:05,200
+خاصية لانه ماتوصلوش مع بعض انا بنجل من هال لها
+
+392
+00:26:06,520 --> 00:26:09,900
+فاهمتها؟ وهذه في عندك شغل تاني بتقول من هال لهال
+
+393
+00:26:09,900 --> 00:26:14,140
+بتجاه معاكس تمام؟ هي عمل اطلاق المعاكس زي مقرر
+
+394
+00:26:14,140 --> 00:26:17,780
+الميه بتقول من أوصى لأعلى من أوطى جوجل لأعلى جوجل
+
+395
+00:26:17,780 --> 00:26:23,180
+مش من الأعلى لأقل هي شغل البطارية طبعا من أكبر؟
+
+396
+00:26:23,180 --> 00:26:26,740
+خمسة ولا نقل ثلاثة؟ اه فحكيلي في هذه الحالة احنا
+
+397
+00:26:26,740 --> 00:26:30,880
+بتشحن المكاتب صح؟ اه طب البطارية ايش بصير فيها؟
+
+398
+00:26:30,880 --> 00:26:34,860
+ولا اي شي بتشحنها بتفكر؟ هي اللي بتشحن اصلا مش انا
+
+399
+00:26:34,860 --> 00:26:37,680
+اللي بتشحن هي البطارية اللي بتشحنهو انا اللى بشحنه
+
+400
+00:26:37,680 --> 00:26:43,380
+من عندى الشحنات؟ البطارية اللى شحنها البطارية
+
+401
+00:26:43,380 --> 00:26:48,880
+خلنا نقول هي منبع شحنات منبع عد معين اذا خلصت
+
+402
+00:26:48,880 --> 00:26:52,660
+معناته خربت معناته بطرت عندها القوة تنجل شحنات من
+
+403
+00:26:52,660 --> 00:26:55,960
+الاعلى جهود الى الأعلى جهود الشحنات السالبة طبعا
+
+404
+00:26:56,790 --> 00:27:00,310
+تمام؟ هي ليش هي بتتعب بتخرط؟ ممكن تبقى بتشتري
+
+405
+00:27:00,310 --> 00:27:04,030
+بتنقل شغلات معاكسة صح ولا .. هي بتنقل أمه معاكسة
+
+406
+00:27:04,030 --> 00:27:06,990
+عشان كلها بتخرط بالآخر بس هذه قوة خلال ال wonder
+
+407
+00:27:06,990 --> 00:27:10,410
+energy هذه chemical energy بس لو بنتقلنا هيك على
+
+408
+00:27:10,410 --> 00:27:14,970
+الطبيعة ده العملية بطارية الجوال والشاحن هل الشاحن
+
+409
+00:27:14,970 --> 00:27:18,890
+بيكون اللي هو ال .. لأ الشاحن بيدي بتجاه المعاكس
+
+410
+00:27:18,890 --> 00:27:23,370
+اقولك انت لما توصلها تشحنها تصير وكأنه انت عكست
+
+411
+00:27:23,370 --> 00:27:28,610
+وانتي بتهاديهذه المكان ال .. مكان فيه؟ بطارية
+
+412
+00:27:28,610 --> 00:27:32,950
+معاكسة فبصير هنا ييجي من هان كفيت عليها؟ فبصير
+
+413
+00:27:32,950 --> 00:27:36,770
+هادي بتشحن هادي و هادي بتشحن هادي بطارية تانية و
+
+414
+00:27:36,770 --> 00:27:38,810
+انت تتكلم تانية عن انت بصير عندك التوصيل هادى ولا
+
+415
+00:27:38,810 --> 00:27:44,380
+لأ عندك عندك ال breeze هي هادى و الجوان هو هذامثال
+
+416
+00:27:44,380 --> 00:27:48,440
+ايه؟ والبطارية و البطارية فانت لما تشحن تجيب اتجاه
+
+417
+00:27:48,440 --> 00:27:54,260
+المعاكس الشحن عملية معاكسة تمام انا الآن هيك عندك
+
+418
+00:27:54,260 --> 00:27:57,080
+الجوال و البطارية ماكانش الشحن مفصول هاي اللي
+
+419
+00:27:57,080 --> 00:28:00,440
+بيصغي عليه تمام طبعا البطارية لعيننا بتفضل بتعود
+
+420
+00:28:00,440 --> 00:28:03,600
+تنشحن لكن انا هنا بقصد فيها بطارية الحاجة على
+
+421
+00:28:03,600 --> 00:28:06,540
+الراديوحاجة غير راضية وانتوا عارفين ان التركيبة ان
+
+422
+00:28:06,540 --> 00:28:10,420
+فيها تفاعلات كيميائية هي المسؤولة عن هذه الطاقة ان
+
+423
+00:28:10,420 --> 00:28:14,080
+من وين اجتها القوة دى؟ من وين هي القوة اللى تنجل؟
+
+424
+00:28:14,080 --> 00:28:17,980
+بقول ده طاقة كيميائية اصلا تمام بقول this process
+
+425
+00:28:17,980 --> 00:28:20,760
+continues for a short time until the potential
+
+426
+00:28:20,760 --> 00:28:23,540
+difference across the capacitor becomes equal to
+
+427
+00:28:23,540 --> 00:28:26,160
+the potential difference of the battery يعني في
+
+428
+00:28:26,160 --> 00:28:28,680
+النهاية بيقول اللي لازم يجهود يتساوى وإلا بيضللها
+
+429
+00:28:28,680 --> 00:28:35,300
+سحنات تتحرك تمامهذا النوع الأول هو الوحيد اللي
+
+430
+00:28:35,300 --> 00:28:39,340
+طالبين منكم شباب تحفظه قيمته اللي هو C بيساوي Y
+
+431
+00:28:39,340 --> 00:28:42,940
+Note A على D C بيساوي Y Note A على D مطلوب مننا
+
+432
+00:28:42,940 --> 00:28:46,420
+نحفظها لأنه هذا أشهر أنواع ال Capacitors وبالتالي
+
+433
+00:28:46,420 --> 00:28:51,120
+بدنا نحفظ جديد C تبعته انه أنا التانين مش هنحفظ
+
+434
+00:28:51,120 --> 00:28:55,000
+نتائجهم اللي هو ال spherical و ال cylindrical طبعا
+
+435
+00:28:55,000 --> 00:29:00,020
+ال spherical شباب سهلليه يسموه سفير كالكباسيتر؟
+
+436
+00:29:00,020 --> 00:29:03,100
+عبارة عن two conductors بينهم مادة عازلة، ال
+
+437
+00:29:03,100 --> 00:29:06,160
+conductor الأول سفير والconductor التاني سفير،
+
+438
+00:29:06,160 --> 00:29:07,520
+عشان كده يسموه سفير كالconductor
+
+439
+00:29:10,000 --> 00:29:14,640
+اسفيريكال كابوسيطر تحتوي على 2 شحنات موجبة و أزرق
+
+440
+00:29:14,640 --> 00:29:24,000
+شحنات ساربة تحتوي على 2
+
+441
+00:29:24,000 --> 00:29:30,680
+شحنات موجبة و أزرق شحنات ساربة تحتوي على 2 شحنات
+
+442
+00:29:30,680 --> 00:29:36,190
+موجبة و أزرق شحنات ساربةطبعا في نوع تالت ال
+
+443
+00:29:36,190 --> 00:29:38,930
+cylindrical capacitor بس عشان ت .. منين يقوللي ايش
+
+444
+00:29:38,930 --> 00:29:42,050
+مثال ع ال cylindrical capacitor؟ بتوصل اندرس جوا
+
+445
+00:29:42,050 --> 00:29:48,630
+بعيد ده ما بتستخدموه كل يوم سلك
+
+446
+00:29:48,630 --> 00:29:51,890
+اللي رابط من ال dish ل ال .. ل ال receiver اش هو
+
+447
+00:29:51,890 --> 00:29:57,520
+ده؟فجيت انتوا حقا قشطتوه وعملتوه مش فيه ال .. ال
+
+448
+00:29:57,520 --> 00:30:00,940
+.. المركزي هذا اللي بيخش جوه هذا conductor و فيه
+
+449
+00:30:00,940 --> 00:30:04,420
+وسط عادل هو ال plastic و حواليه شبك الشبك هذا ال
+
+450
+00:30:04,420 --> 00:30:07,900
+cylinder التانية فعندك cylinder صغيرة أو cylinder
+
+451
+00:30:07,900 --> 00:30:11,520
+كبيرة من الشبك بينهم وسط عادل هو ال plastic هذا
+
+452
+00:30:11,520 --> 00:30:15,320
+cylindrical capacitor و هذا ال spherical capacitor
+
+453
+00:30:15,320 --> 00:30:20,040
+طبعا كام بدأ يجيبها؟ كانوا نفس العملية C بالساوة Q
+
+454
+00:30:20,040 --> 00:30:25,130
+على Vالـ Q مُعطية ولي مش مُعطية ده اللي عليك تجيب
+
+455
+00:30:25,130 --> 00:30:30,110
+V يا عم رودي سهل تجيب V حاجة V هذه هي فرق الجهد ب
+
+456
+00:30:30,110 --> 00:30:35,450
+two conductors لما بيجيبها شباب بساوي سالب من
+
+457
+00:30:35,450 --> 00:30:39,570
+initial ل final E dot dl شوف أنا كتبت من initial ل
+
+458
+00:30:39,570 --> 00:30:42,890
+final لإن هذه أصلها delta V صح ولا لأ؟ هذه أصلها
+
+459
+00:30:42,890 --> 00:30:47,190
+delta D طب وين ال initial وين ال final؟ حاجة V بين
+
+460
+00:30:47,190 --> 00:30:52,680
+يومينمن A ل B هي بين ال two conductors يعني انا
+
+461
+00:30:52,680 --> 00:30:56,360
+بدي E لأجمحة هادية اي E اللي برا خالص و اللي جوه
+
+462
+00:30:56,360 --> 00:31:00,700
+خالص و اللي بينهم اللي بينهم بس بدي E اللي بينهم
+
+463
+00:31:00,700 --> 00:31:03,940
+طب فجر اجيب E اللي بينهم بقولي اه بواسط قانون جوز
+
+464
+00:31:03,940 --> 00:31:09,700
+بنص طب بتجيبها جيب E بواسط قانون جوز حطه هنا بطلع
+
+465
+00:31:09,700 --> 00:31:12,220
+النتيجة وكمل و خلاص بطلع النتيجة و بعد النتيجة
+
+466
+00:31:12,220 --> 00:31:14,380
+عشان في إيها شغلات مش هخلصها الآن
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_postprocess.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f9dce729406bc7aa383732d2c63a4668050a7cff
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_postprocess.srt
@@ -0,0 +1,3744 @@
+1
+00:00:00,000 --> 00:00:02,680
+موسيقى
+
+2
+00:00:10,040 --> 00:00:14,840
+بسم الله الرحمن الرحيم وقفنا المرحلة دي كانت حساب
+
+3
+00:00:14,840 --> 00:00:20,440
+ال capacitance of capacitors وحسبنا c for parallel
+
+4
+00:00:20,440 --> 00:00:25,740
+plates capacitor ولاجينا ان c بتسوى y نقطة a على d
+
+5
+00:00:25,740 --> 00:00:33,920
+وكانت النتيجة ان c تعتمد فقط على التركيبةالهندسية
+
+6
+00:00:33,920 --> 00:00:37,800
+للكماسيفر كانت تناسب تناسبة انقرضيا مع ال area
+
+7
+00:00:37,800 --> 00:00:42,320
+وعكسيا مع the separation between the two places
+
+8
+00:00:45,970 --> 00:00:49,050
+الكباسيتر او الكباسيتر for spherical capacitor
+
+9
+00:00:49,050 --> 00:00:53,310
+واتفقنا ان الكباسيتر الاسفيريكال يحتوي على اتفاقين
+
+10
+00:00:53,310 --> 00:00:56,970
+اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين
+
+11
+00:00:56,970 --> 00:00:57,590
+اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين
+
+12
+00:00:57,590 --> 00:00:57,790
+اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين
+
+13
+00:00:57,790 --> 00:01:12,130
+اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين اتفاقين
+
+14
+00:01:13,350 --> 00:01:18,370
+هذا هو القانون اللي منه بأحسب جدّي سعة أي كاباسيتر
+
+15
+00:01:18,370 --> 00:01:21,710
+وعشان كده بيقول عشان نحسب السعة لازم أشحن و لازم
+
+16
+00:01:21,710 --> 00:01:25,750
+يكون فيه شحنات فهذا راهنش عده الإينار plus q
+
+17
+00:01:25,750 --> 00:01:30,590
+والأعطر بيكون سالب q إيش دل؟ دل قديم V وهنا V
+
+18
+00:01:30,590 --> 00:01:34,810
+stand for the potential difference between the two
+
+19
+00:01:34,810 --> 00:01:38,720
+conductors of the capacitorلإيجاد كبسيطة من هذه
+
+20
+00:01:38,720 --> 00:01:44,820
+الكبسيطة، يجب أن نتكلم عن الاختلاف الممكن بين
+
+21
+00:01:44,820 --> 00:01:48,800
+الاثنين الحفرينإذا المهمة الأولى على طول و كأنه
+
+22
+00:01:48,800 --> 00:01:52,480
+سؤال زى هذا بكون تابع للشبطة اللى جابله الشباب لإن
+
+23
+00:01:52,480 --> 00:01:56,500
+الشبطة اللى جابله كان جل شغلنا انه نحسب فرق الجهد
+
+24
+00:01:56,500 --> 00:01:59,920
+بين نقطتين او اي جهد او اي نقطة وبالتالي بيصير ان
+
+25
+00:01:59,920 --> 00:02:03,660
+انا بدي اجيب الجهد ما بين نقطتين عشان احسب السعة
+
+26
+00:02:03,660 --> 00:02:07,660
+عشان اطبق انا بدي هذه و هذه جهد او فرق الجهد هنا
+
+27
+00:02:07,660 --> 00:02:13,090
+تمام عشان اجيب اتستخدم هذا القانونإن V بسوء سالب
+
+28
+00:02:13,090 --> 00:02:16,290
+من initial to final و ال initial عندي ال inner
+
+29
+00:02:16,290 --> 00:02:20,690
+shell و ال final هو ال outer shell على فاس إن هذا
+
+30
+00:02:20,690 --> 00:02:26,450
+هو القانون التبعي على اعتبار إن V هي delta V V هي
+
+31
+00:02:26,450 --> 00:02:30,050
+delta V أصلا هي فرق الجهد بين طرفي ال capacitor
+
+32
+00:02:30,050 --> 00:02:35,890
+وبالتالي بتكون from A to B الآن مازال أنا خطط حضور
+
+33
+00:02:35,890 --> 00:02:41,240
+التكامل يا شباب بالصير واضح اي اي اي بدي علىاللي
+
+34
+00:02:41,240 --> 00:02:45,900
+في النص between A and B تمام إذا هذي E هي ال
+
+35
+00:02:45,900 --> 00:02:49,380
+electric field between A and B or the electric
+
+36
+00:02:49,380 --> 00:02:52,220
+field between the two shells كيف بتحسبها؟ ممكن
+
+37
+00:02:52,220 --> 00:02:55,880
+نستخدم قانون جاوس ولا لأ؟ مش أشكال قراوية ولا لأ؟
+
+38
+00:02:55,880 --> 00:02:59,300
+إذا بنستخدم قانون جاوس ال electric field between
+
+39
+00:02:59,300 --> 00:03:02,700
+the two shells can be found using Gauss's law كيف؟
+
+40
+00:03:02,700 --> 00:03:06,200
+يعني أنت بدك نقطة في النص حُطها في Gauss's surface
+
+41
+00:03:06,200 --> 00:03:11,420
+مظبوط ولا لأ؟ في جوا شحنات ولا فيش شيء؟اللي هو Q
+
+42
+00:03:11,420 --> 00:03:15,700
+إذا بيصير E في أربع عبايا R تربيع بيساوي Q على
+
+43
+00:03:15,700 --> 00:03:20,440
+أبسلون نوات إذا بربع سطر بقدر أجيب E بيساوي Q و
+
+44
+00:03:20,440 --> 00:03:24,040
+أربع عبايا R تربيع كانت هنا جاية من ال A و أبسلون
+
+45
+00:03:24,040 --> 00:03:27,880
+نواتي اللي موجودة في القانون هذه هي E وبالتالي ما
+
+46
+00:03:27,880 --> 00:03:33,620
+زال E انعرفت حطها هنا دي الاصل لما تيجي تكامل قل
+
+47
+00:03:33,620 --> 00:03:39,200
+كاملطلعت في هذا الشكل ايش تكلمه DR على R تربية
+
+48
+00:03:39,200 --> 00:03:42,460
+minus one over R صح ولا لأ ال minus مع ال minus
+
+49
+00:03:42,460 --> 00:03:47,220
+بتروح بتصير هيك واحد على R و واحد على B minus واحد
+
+50
+00:03:47,220 --> 00:03:50,040
+على A هيك بتصير تماما هذه النتيجة احنا مش هنحفظها
+
+51
+00:03:50,040 --> 00:03:54,040
+لازم
+
+52
+00:03:54,040 --> 00:03:57,960
+هو ببطل capacitor ال capacitor لازم واحدة Q تانية
+
+53
+00:03:57,960 --> 00:04:00,840
+نقص ال Q واحدة خمسة تانية نقص خمسة واحدة عشرة
+
+54
+00:04:00,840 --> 00:04:06,120
+تانية نقص عشرة لازمو حد طولها و المنصحة شيله جعوه
+
+55
+00:04:06,120 --> 00:04:10,620
+في الشحنات احنا اتفقنا لا مالهاش جعوه هو انت شوفت
+
+56
+00:04:10,620 --> 00:04:12,860
+كيف احنا شحانتي المكافئت انا باخد من واحد ال board
+
+57
+00:04:12,860 --> 00:04:18,260
+ع التاني فإذا بدي اخد عشرة تاني بدي اخد عشرة طبعا
+
+58
+00:04:18,260 --> 00:04:24,820
+هذا بساطه اظبطها طلعت هيك طبعا الطلعة شباب بالنسبة
+
+59
+00:04:24,820 --> 00:04:30,600
+ل ال spherical capacitor فيه ميزة الطلعة هذا قرون
+
+60
+00:04:30,600 --> 00:04:36,880
+لل plate هذالو واحدة من ال place ابعتها، ايش بيصير
+
+61
+00:04:36,880 --> 00:04:42,280
+في D؟ بتزيد، ايش بيصير في C؟ يعني طب انا .. طب
+
+62
+00:04:42,280 --> 00:04:45,300
+الهادي .. الهادي صارت بعيدة كتير، وصلت رفح، لديه C
+
+63
+00:04:45,300 --> 00:04:50,400
+بتتوقعها صير؟ Zero، مظبوط ولا لأ؟ طب نشوف .. نرجع
+
+64
+00:04:50,400 --> 00:04:53,320
+إلى هادي، هادي كانت هيك و هيك، هي البرانية بدنا
+
+65
+00:04:53,320 --> 00:04:58,010
+نمشيها، نمشيها لما تصل رفحماذا يحصل في B؟ B جُسده
+
+66
+00:04:58,010 --> 00:05:01,910
+مانا نهاية و لا لأ نشوف ماذا يحصل هنا طبعا لما أضع
+
+67
+00:05:01,910 --> 00:05:04,970
+بي مانا نهاية بصي مانا نهاية ع مانا نهاية و لما
+
+68
+00:05:04,970 --> 00:05:07,670
+أخدنا في الcalculus مانا نهاية ع مانا نهاية كده
+
+69
+00:05:07,670 --> 00:05:12,050
+بجيب اللي مات ايش بسوي؟ اما بفاضل او بجسم على أكبر
+
+70
+00:05:12,050 --> 00:05:15,210
+قص جسم على أكبر قص اللي هي ال B ماذا يحصل في
+
+71
+00:05:15,210 --> 00:05:21,710
+البصد؟ ايه؟ و في المقام واحد نقص A على Bطب ايه على
+
+72
+00:05:21,710 --> 00:05:25,770
+بيه جدتش بيصير؟ اذا بترجع القانون بس اربع باي أبسل
+
+73
+00:05:25,770 --> 00:05:30,510
+نوت ايه؟ اذا بتقطر سفير لما يكون سفير فليش بيقول
+
+74
+00:05:30,510 --> 00:05:35,810
+ليه؟ بيقولي a single isolated sphere بس سفير واحدة
+
+75
+00:05:35,810 --> 00:05:39,530
+ممكن اعتبرها capacitor طب ال capacitor احنا بيعرف
+
+76
+00:05:39,530 --> 00:05:43,110
+انه two conductors مظبوط ولا لأ؟ بينهم مادة عزلة
+
+77
+00:05:43,110 --> 00:05:46,650
+جميعهم two conductors واحدة اللي انت شايفها
+
+78
+00:05:46,650 --> 00:05:49,710
+والتانية وين هي في المادة النهائية واللي مش عاد
+
+79
+00:05:49,710 --> 00:05:55,620
+يروح يدور عليهابيقول ا single isolated sphere can
+
+80
+00:05:55,620 --> 00:05:59,000
+be considered as a capacitor where the outer shell
+
+81
+00:05:59,000 --> 00:06:04,220
+is assumed to be of infinite radius طبعا في هذه
+
+82
+00:06:04,220 --> 00:06:07,580
+الحالة if we let B goes from ملا نهاية in the last
+
+83
+00:06:07,580 --> 00:06:11,020
+equation the capacitance of an isolated sphere of
+
+84
+00:06:11,020 --> 00:06:15,740
+radius A is found to be 4pi epsilon naught A لأن
+
+85
+00:06:15,740 --> 00:06:20,710
+سعة المكفف او الكورة تعتمد على سقطرهاأربعة باى
+
+86
+00:06:20,710 --> 00:06:23,790
+إبسلون نوت ماهى فاكتة اذا كل كرة ممكن اعتبرها
+
+87
+00:06:23,790 --> 00:06:27,970
+capacitor شباب كل كرة conductor طبعا كل كرة لحالها
+
+88
+00:06:27,970 --> 00:06:31,130
+ممكن اعتبرها capacitor على اعتبار انه ال conductor
+
+89
+00:06:31,130 --> 00:06:34,050
+التالي موجود في المالة النهائية و بصير C تبعتنا
+
+90
+00:06:34,050 --> 00:06:37,750
+بتساوي أربعة باى إبسلون نوت في نص قطرها اللى هو A
+
+91
+00:06:37,750 --> 00:06:42,350
+وهنا جيبناها هنا بينفعش لما تصير الساعة بتساوي سفر
+
+92
+00:06:42,350 --> 00:06:47,490
+نشوف ال cylindrical capacitor تذكرى ان السلك اللى
+
+93
+00:06:47,490 --> 00:06:52,030
+..مابين ال dish و ال receiver يقولون هاد ال
+
+94
+00:06:52,030 --> 00:06:56,950
+cylindrical capacitor تمام و هاد هو هاد الأزرق
+
+95
+00:06:56,950 --> 00:07:00,650
+اللي هو السيليك القصير هذا الرفيع اللي بيخش جوا ال
+
+96
+00:07:00,650 --> 00:07:05,070
+receiver و الشعر اللي حواليه هو الأحمر بتعتبره
+
+97
+00:07:05,070 --> 00:07:11,640
+تمام و هي مين أكبر طول السيليك ولا نسقطه؟طبعا طوله
+
+98
+00:07:11,640 --> 00:07:15,320
+خصوصا إذا واحد ساكن على الطابق الأول و في عمارة
+
+99
+00:07:15,320 --> 00:07:18,820
+على عشر و ردش في عشر كده ديش بيكون طول السلك؟ ممكن
+
+100
+00:07:18,820 --> 00:07:21,600
+ستين متر، سبعين متر، صح ولا لأ؟ و نص القطر ممكن
+
+101
+00:07:21,600 --> 00:07:25,240
+كذا ملي، بالتالي دائما في ال syndical capacitor
+
+102
+00:07:25,240 --> 00:07:29,820
+بيكون الطول أكبر كتير من نص القطر عشان أقدر أستخدم
+
+103
+00:07:29,820 --> 00:07:33,420
+قانون جاوس الشباب، أقول عنها infinite wire ولا لأ؟
+
+104
+00:07:33,420 --> 00:07:37,550
+في infinite wire، تماميقول ان الكمبيوتر يستخدم
+
+105
+00:07:37,550 --> 00:07:38,650
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+106
+00:07:38,650 --> 00:07:39,130
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+107
+00:07:39,130 --> 00:07:39,990
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+108
+00:07:39,990 --> 00:07:41,230
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+109
+00:07:41,230 --> 00:07:42,370
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+110
+00:07:42,370 --> 00:07:45,270
+عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن
+
+111
+00:07:45,270 --> 00:07:48,570
+عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة
+
+112
+00:07:48,570 --> 00:07:56,990
+عن عبارة عن عبارة عن عبارة
+
+113
+00:07:56,990 --> 00:08:03,970
+عن عب
+
+114
+00:08:05,220 --> 00:08:13,040
+هو بيعمل استوارة حوالي الاسلك بش هو بيعمل استوارة
+
+115
+00:08:13,040 --> 00:08:14,500
+بش هو بيعمل استوارة بش هو بيعمل استوارة بش هو
+
+116
+00:08:14,500 --> 00:08:14,560
+استوارة بش هو بيعمل استوارة بش هو بيعمل استوارة بش
+
+117
+00:08:14,560 --> 00:08:14,660
+هو بيعمل استوارة بش هو بيعمل استوارة بش هو بيعمل
+
+118
+00:08:14,660 --> 00:08:15,360
+استوارة بش هو بيعمل استوارة بش هو بيعمل استوارة بش
+
+119
+00:08:15,360 --> 00:08:17,520
+هو بيعمل استوارة بش هو بيعمل استوارة بش هو بيعمل
+
+120
+00:08:17,520 --> 00:08:23,940
+استوارة بش هو بيعمل استوارة بش هو بيعمل استوارة بش
+
+121
+00:08:23,940 --> 00:08:25,760
+هو بيعمل است
+
+122
+00:08:30,720 --> 00:08:35,380
+أنا عامله عكس هو طبعا العكس بتفرجش كتير و we will
+
+123
+00:08:35,380 --> 00:08:38,480
+assume that طبعا ال assumption هذا هو الحقيقة و we
+
+124
+00:08:38,480 --> 00:08:40,880
+will assume that the length of the capacitor is
+
+125
+00:08:40,880 --> 00:08:44,540
+much greater than the radius P such that we can
+
+126
+00:08:44,540 --> 00:08:47,280
+neglect the freeing of the electric field at the
+
+127
+00:08:47,280 --> 00:08:51,000
+ends عدم انتباه من ال electric field عند الأطراف
+
+128
+00:08:51,000 --> 00:08:53,840
+بدرجة غير أنا مش عند الأطراف في كل الأحوال يعني
+
+129
+00:08:53,840 --> 00:08:59,660
+بمعنى أخر في النهاية بيستطيع اطبق قانون جاوسالجزء
+
+130
+00:08:59,660 --> 00:09:02,860
+الكهربائي في المنطقة بين الانتجارات التوكوينية
+
+131
+00:09:02,860 --> 00:09:05,080
+يمكن ان يتم تخيله باستخدام قوة جزء من الانتجارات
+
+132
+00:09:05,080 --> 00:09:09,780
+انفليت واير وهذه الجواب انا شاحته وشحته طبعا بس
+
+133
+00:09:09,780 --> 00:09:12,540
+اذكركم كيف جبناها لانه جبناها في احد الأمثلة كان
+
+134
+00:09:12,540 --> 00:09:15,260
+في عندي سلك طويل وقولت بدي أشيط بيت المجار هنا
+
+135
+00:09:15,260 --> 00:09:21,740
+أخدت السلينذر هيكصح؟ كنا المجال هيك و في عندي تلت
+
+136
+00:09:21,740 --> 00:09:27,580
+أسطح و هاي سطح سافر و ده السطح هذا فصار E في اتنين
+
+137
+00:09:27,580 --> 00:09:32,640
+by R في L على اعتبار هذه L فعلى Q in و رترية Q in
+
+138
+00:09:32,640 --> 00:09:37,210
+بالساولين ده في Lبالضبط لأ إذا E بيساوي راحة L مع
+
+139
+00:09:37,210 --> 00:09:40,850
+L بيساوي Lambda طبعا فينا ال Epsilon Note على 2 Pi
+
+140
+00:09:40,850 --> 00:09:45,810
+Epsilon Note في R فهذا اللي انا شحته تمام فLambda
+
+141
+00:09:45,810 --> 00:09:50,390
+هذه ايش بيساوي Q على L بس ايه اللي عملنا Lambda
+
+142
+00:09:50,390 --> 00:09:52,810
+بيساوي Q على L إذا المقلنة هو هذه النتيجة احنا
+
+143
+00:09:52,810 --> 00:09:57,830
+شحتينها من مثال سابق و جيبناها بساطة الواحد بتنجب
+
+144
+00:09:57,830 --> 00:10:01,030
+من قانون Gauss بعد ما طلعت E شباب بدأوا جديد أجيب
+
+145
+00:10:01,030 --> 00:10:04,590
+فرق الجهودThe potential difference is then found
+
+146
+00:10:04,590 --> 00:10:08,670
+to be نفس القانون اللي بنستخدمه E.DL هي الـDL من
+
+147
+00:10:08,670 --> 00:10:13,710
+الـDR و بعدين تتحول لDR عشان ال E فيها R unit
+
+148
+00:10:13,710 --> 00:10:18,510
+vector عود عن E طلعت بهذا الشكل لأن E في R في
+
+149
+00:10:18,510 --> 00:10:23,830
+المقام و في ال bus في DR ايش تكمل DX على X DX على
+
+150
+00:10:23,830 --> 00:10:32,880
+X لأن ال X طلعت هيك لأن ال R من A لB طلعهاهذه لإن
+
+151
+00:10:32,880 --> 00:10:37,380
+ال B على A طلعنا الجواب مازال V عرفت شباب بقدر
+
+152
+00:10:37,380 --> 00:10:42,240
+أجيب C شوفوا انتوا دايما V بتجي بجالية Q عشان ال Q
+
+153
+00:10:42,240 --> 00:10:49,190
+هتطير وماضلش ال C مالهاش أي نتيجةC بيستوى Q على V
+
+154
+00:10:49,190 --> 00:10:52,570
+وطلعتها بهذا الشكل طبعا واضح برضه إذا كان في ال
+
+155
+00:10:52,570 --> 00:10:55,970
+capacitor ولا هنا C لا تعتمد لا على ال potential
+
+156
+00:10:55,970 --> 00:11:00,470
+ولا تعتمد على الشحنات بتعتمد فقط على التركيبة
+
+157
+00:11:00,470 --> 00:11:03,510
+تبعات ال capacitor هنا التركيبة تبعات ال capacitor
+
+158
+00:11:03,510 --> 00:11:08,250
+أنصاف الأقطار والطول و ال epsilon note بيمثل الوقت
+
+159
+00:11:08,250 --> 00:11:13,380
+العازلفي الكورة اعتمد على الـ A و الـ B بالإضافة
+
+160
+00:11:13,380 --> 00:11:16,320
+إلى الـ Epsilon node فدائما ال capacitor سعته
+
+161
+00:11:16,320 --> 00:11:20,040
+بيعتمد فقط على التركيب الهندسي للكباسيتر مالوش
+
+162
+00:11:20,040 --> 00:11:25,000
+دعوة إلا بهذا العاد تمام طبعا كلكم بتعرفوا بديش
+
+163
+00:11:25,000 --> 00:11:29,700
+لإن المالة نهاية مالة
+
+164
+00:11:29,700 --> 00:11:34,120
+نهاية تمام طبعا لو تطلع لو B ال outer shell صار
+
+165
+00:11:34,120 --> 00:11:36,020
+مالة نهاية زي ما عملنا في الاسفير بتظبطش معاه
+
+166
+00:11:36,020 --> 00:11:40,660
+بتصير السعة بترجع Zeroتبصر في المقام في منا نهاية،
+
+167
+00:11:40,660 --> 00:11:44,740
+مظبوط؟ اذا معناته ال single بينفعش إلى لا للسفير،
+
+168
+00:11:44,740 --> 00:11:48,200
+ال cylinder بينفعش ولا ال parallel plate بينفع،
+
+169
+00:11:48,200 --> 00:11:52,000
+تمام، انا حاسبت ال c على تلت capacity الشباب، ال
+
+170
+00:11:52,000 --> 00:11:55,560
+parallel plates والسفير كانوا cylindrical، التلاتة
+
+171
+00:11:55,560 --> 00:11:59,790
+مطلوب مني افهم كيف حسبهالأول مطلوب ان يحفظ نتيجته
+
+172
+00:11:59,790 --> 00:12:03,850
+اللى هى C بيساوي بصر النوت A على D هذا مطلوب انه
+
+173
+00:12:03,850 --> 00:12:07,530
+يحفظه وزى ما حكينا انا مغوظ بيقول انه يحفظه على
+
+174
+00:12:07,530 --> 00:12:13,670
+أساس انه هو الأشهر ورمزه هو اللى أخدته كرمز شائع
+
+175
+00:12:13,670 --> 00:12:15,030
+وبالتالي هو الأشهر
+
+176
+00:12:33,340 --> 00:12:37,940
+Combination of Capacitorsاخدته في المدارس اخدته
+
+177
+00:12:37,940 --> 00:12:41,840
+كيف توصل مقاومات على التوالي و على التوازي واخدته
+
+178
+00:12:41,840 --> 00:12:45,040
+كيف توصل مكثفات على التوالي و التوازي احنا نقال في
+
+179
+00:12:45,040 --> 00:12:48,460
+المكثفات المكثفات متواصلة بطلقتين زي ما هي زي
+
+180
+00:12:48,460 --> 00:12:54,300
+المقاومات توالي و توازيإذن هناك اتصالات اتصالات
+
+181
+00:12:54,300 --> 00:12:57,540
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+182
+00:12:57,540 --> 00:12:57,940
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+183
+00:12:57,940 --> 00:13:01,280
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+184
+00:13:01,280 --> 00:13:07,160
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+185
+00:13:07,160 --> 00:13:07,680
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+186
+00:13:07,680 --> 00:13:09,000
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصالات
+
+187
+00:13:09,000 --> 00:13:18,340
+اتصالات اتصالات اتصالات اتصالات اتصالات اتصال
+
+188
+00:13:19,200 --> 00:13:22,020
+هيتوا كمثلة كيف بيوصلوا مع التوازي؟ جارت كل اتنين
+
+189
+00:13:22,020 --> 00:13:27,420
+مع بعض هيوسي واحدة؟ هدوة توصلوا سؤال الآن الفجانية
+
+190
+00:13:27,420 --> 00:13:30,220
+والتحتانية هدول عبارة عن two conductors ولا مش two
+
+191
+00:13:30,220 --> 00:13:33,700
+conductors؟ وصلتوا ببسيك صاروا conductor واحد ولا
+
+192
+00:13:33,700 --> 00:13:38,190
+لأ؟ جهدهم تساوي ولا لم يكنوا تساوي؟ تساوي الجهودطب
+
+193
+00:13:38,190 --> 00:13:42,950
+التاني التاني وصلت نفس القضية إذا صار الجهد اللي
+
+194
+00:13:42,950 --> 00:13:46,330
+فوق بيسوي الجهد اللي تحت غصب عنه صحيح ولا لأ لأن
+
+195
+00:13:46,330 --> 00:13:49,210
+أنا وصلتهم مع بعض وعندي قاعدة and two conductors
+
+196
+00:13:49,210 --> 00:13:51,930
+are connected by a wire they must have the same
+
+197
+00:13:51,930 --> 00:13:56,030
+potential والتاني they must have the same
+
+198
+00:13:56,030 --> 00:13:58,830
+potential إذا ال difference اللي فوق بيسوي ال
+
+199
+00:13:58,830 --> 00:14:02,250
+difference اللي تحت بمعنى أخر V1 بيسوي V2 هدول
+
+200
+00:14:02,250 --> 00:14:05,920
+توصلوا على التوازن اللي بتواصلهم مع بطاريةهك تتصير
+
+201
+00:14:05,920 --> 00:14:09,460
+الان طبعا احنا قبل ما نوصل البطارية شباب اغلب ال
+
+202
+00:14:09,460 --> 00:14:12,160
+capacitors بيكونش فيه عنده احمر و ازرق بيكونش
+
+203
+00:14:12,160 --> 00:14:14,360
+معروف ايش هو الموجب و ايش هو السالب انا بوصلها
+
+204
+00:14:14,360 --> 00:14:17,320
+بعدين بعد ما وصلنا بالبطارية بعرف القطب الموجب و
+
+205
+00:14:17,320 --> 00:14:21,480
+القطب السالب زي المقاومة تمام كيف تصير العملية زي
+
+206
+00:14:21,480 --> 00:14:26,020
+ما احنا عاملنا المراه دي بتصير بيدا الشكل هيك
+
+207
+00:14:26,020 --> 00:14:31,560
+بيشحله زي
+
+208
+00:14:31,560 --> 00:14:39,210
+ما احنا عاملنا المراه ديهذا الألكترون اللي بتحرك،
+
+209
+00:14:39,210 --> 00:14:42,950
+هذا الألكترون، هو الحقيقة أيش اللي بتحرك؟
+
+210
+00:14:42,950 --> 00:14:46,690
+الألكترون ولا البروترون؟ الفيلم يعني عشان كده عملت
+
+211
+00:14:46,690 --> 00:14:50,450
+حاجة الواقعية، يعني بحاول أعمل animation للواقع،
+
+212
+00:14:50,450 --> 00:14:58,240
+كيف؟ بهيئة، انت فكرت طيار هذا؟مش طيار هذا الطيار
+
+213
+00:14:58,240 --> 00:15:02,340
+اصطلاحا حركة الشحنات الموجة بقى انا قاعد بحرك ايش
+
+214
+00:15:02,340 --> 00:15:06,640
+بحرك electrons حد الواقع اللي بيصير هيك عملت الشحن
+
+215
+00:15:06,640 --> 00:15:10,220
+الواقعية انه الاترون بيجي من ال place بيقعد منه
+
+216
+00:15:10,220 --> 00:15:13,780
+التانية والتفاقنة البطارية اللي بتنططه من المكان
+
+217
+00:15:13,780 --> 00:15:17,540
+الواطي الى المكان العالى تجهد و هيك بيصير زي ما
+
+218
+00:15:17,540 --> 00:15:20,620
+شحنتها نقول in such a combination the right place
+
+219
+00:15:20,620 --> 00:15:24,990
+الحمر نوقفه لحظة بدوني بتبقى بتتركزهبعد ما هيك
+
+220
+00:15:24,990 --> 00:15:28,210
+بنصي واحد موجة بواحد سالب in such a combination
+
+221
+00:15:28,210 --> 00:15:32,070
+the right blades اللي هم الحمر are connected بقى
+
+222
+00:15:32,070 --> 00:15:35,650
+conducting wire to form an equipotential surface
+
+223
+00:15:35,650 --> 00:15:39,170
+يعني they have the same potential قطعا the other
+
+224
+00:15:39,170 --> 00:15:43,430
+two blades ال left اللي هم الزوج form another
+
+225
+00:15:43,430 --> 00:15:46,590
+equipotential surface والتانيين اللي هم نفس الجهود
+
+226
+00:15:46,590 --> 00:15:51,330
+therefore the potential difference across the two
+
+227
+00:15:51,330 --> 00:15:55,580
+capacitors are the sameمظبوط ولا لأ and equal to
+
+228
+00:15:55,580 --> 00:15:59,480
+the potential difference across an equivalent
+
+229
+00:15:59,480 --> 00:16:02,480
+capacitor replacing the two capacitors دي عالم
+
+230
+00:16:02,480 --> 00:16:05,600
+مجتمع مكتوب هذا الكلام V equivalent EQ هذي
+
+231
+00:16:05,600 --> 00:16:08,120
+equivalent مكافئ يعني انا ال two capacitors بدي
+
+232
+00:16:08,120 --> 00:16:11,480
+اجيبهم و احط واحد يكافئهم يحل محلهم حد اللي بديه
+
+233
+00:16:11,480 --> 00:16:14,360
+يحل محلهم بسمي equivalent capacitor equivalent
+
+234
+00:16:14,360 --> 00:16:20,580
+capacitor يعني لو انا عندي انا هي capacitor و
+
+235
+00:16:20,580 --> 00:16:24,930
+في capacitor تاني هيهمبدي اوصلهم وبدي اوصلهم وبدي
+
+236
+00:16:24,930 --> 00:16:27,890
+الزيكهم بعد التلزيك تمام هدوى ال two capacitors
+
+237
+00:16:27,890 --> 00:16:32,110
+وصلتهم بقدر اقول جهود هدى بيسوي جهود هدى اه وجهود
+
+238
+00:16:32,110 --> 00:16:35,770
+هدى بيسوي جهود هدى بيصير الجهود هدى هو نفسه هدى طب
+
+239
+00:16:35,770 --> 00:16:39,890
+وجهوده كله نفسه لأنه جهود هدى الكبير هو نفسه بيسوي
+
+240
+00:16:39,890 --> 00:16:42,710
+جهود هدى الكبير صح ولا لأ اذا بقول V equivalent
+
+241
+00:16:43,810 --> 00:16:48,630
+بتساوى V1 وبتساوى V2 طيب لو شباب هذه كان عليها
+
+242
+00:16:48,630 --> 00:16:52,830
+عشرة Q و هذه خمسة Q جمعتهم مع بعض كده ال total
+
+243
+00:16:52,830 --> 00:16:58,610
+charge؟ خمس عشر صح؟ اذا بقدر اقول Q equivalent هي
+
+244
+00:16:58,610 --> 00:17:04,730
+مجموع ال two Q صح؟ اه هذي كان فيها عشرة micro
+
+245
+00:17:04,730 --> 00:17:08,170
+column و هذه عليها خمسة micro column حطتهم جنب بعض
+
+246
+00:17:08,170 --> 00:17:15,120
+كده ال total؟ خمسة عاد تمامطبعا Vq هو قيمة
+
+247
+00:17:15,120 --> 00:17:18,800
+الاختلاف المميز عن مقارنة الهواء الكبسيطر الهواء
+
+248
+00:17:18,800 --> 00:17:23,240
+الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء
+
+249
+00:17:23,240 --> 00:17:24,600
+الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء
+
+250
+00:17:24,600 --> 00:17:25,640
+الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء
+
+251
+00:17:25,640 --> 00:17:26,340
+الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء
+
+252
+00:17:26,340 --> 00:17:27,960
+الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء
+
+253
+00:17:27,960 --> 00:17:35,600
+الكبسيطر الهواء الكبسيطر الهواء الكبسيطر الهواء
+
+254
+00:17:35,600 --> 00:17:41,420
+الكبسيطصح؟ طيب ال Q equivalent هذه بيساوي C
+
+255
+00:17:41,420 --> 00:17:44,380
+equivalent في V equivalent ولا لأ؟ وبدل ال Q1
+
+256
+00:17:44,380 --> 00:17:49,440
+بيضحط C1 في V1 ولا لأ؟ وبدل ال Q2 بيضحط C2 في V2؟
+
+257
+00:17:49,440 --> 00:17:55,280
+حطط طيب هذه المعادلة إيش بتعمل ليه؟ بتضيع ليه ال
+
+258
+00:17:55,280 --> 00:18:01,860
+V's؟ بتضيعي ال V's؟ هاي وصلت على التوازي C
+
+259
+00:18:01,860 --> 00:18:06,560
+equivalent بيساوي الجميعسيكوبرنات تساوي الجميع سي
+
+260
+00:18:06,560 --> 00:18:10,240
+لو عندك اتنين capacitors واحد تلاتة وواحد خمسة
+
+261
+00:18:10,240 --> 00:18:14,400
+واصل طول بالتوازي ال total دي صار تمانية يعني لما
+
+262
+00:18:14,400 --> 00:18:18,100
+توصلوا على التوازي الساعة بزيد ولا بتجيل بزيد براو
+
+263
+00:18:18,100 --> 00:18:25,540
+هاتوا capacitors بتواصلوا مع التوازي هيك حملتهمو
+
+264
+00:18:25,540 --> 00:18:29,900
+هو بحكيلي الساحة تتغيرش ايه زي اللي كان اللي لعبت
+
+265
+00:18:29,900 --> 00:18:35,960
+في التركيبة الهندسية هناش اتغيرت المساحة كبرت
+
+266
+00:18:35,960 --> 00:18:41,060
+المساحة هنا ولا لا دي اتغيرت لما زيدي المساحة اش
+
+267
+00:18:41,060 --> 00:18:44,740
+بصير في الصين اذا انا بتوصيل على التوازي بزود
+
+268
+00:18:44,740 --> 00:18:48,300
+الساحة لان انا بفعل و كأني بزود المساحة شباببزود
+
+269
+00:18:48,300 --> 00:18:51,360
+المساحة وبالتالي منطقي ان الساعة زيد وهي زادت
+
+270
+00:18:51,360 --> 00:18:56,240
+الساعة اني صرت أجمع على C1 زي C2 لان المساحة زادت
+
+271
+00:18:56,240 --> 00:19:00,400
+بعنانية التوصيل على التوازي فيها استفسار شباب؟ إذا
+
+272
+00:19:00,400 --> 00:19:03,000
+بتواصلي على التوازي إيش بده أفهم؟ كيف بده أحكم على
+
+273
+00:19:03,000 --> 00:19:06,660
+التواري والتوازي شباب؟ مش من الرسمة مش من الرسمة
+
+274
+00:19:06,660 --> 00:19:12,280
+من أعمل شرط التوازي عشان أحكم توازي لازم الجهود
+
+275
+00:19:12,280 --> 00:19:17,960
+تتساوىلازم الجهود تتساوى إذا تساوى الجهود بقول فيه
+
+276
+00:19:17,960 --> 00:19:21,480
+توازي طبعا في خطأ شريع بقولك إذا الشحنات ماتساوتش
+
+277
+00:19:21,480 --> 00:19:26,380
+بيكون توازي هذا خطأ إذا الشحنات ماتساوتش بينفي
+
+278
+00:19:26,380 --> 00:19:30,560
+فكرة التوالي لكن لا يثبت فكرة التوازي التوازي عشان
+
+279
+00:19:30,560 --> 00:19:35,260
+أثبته لازم الشرط تبع التوازي هذا هيتحقق هذه لازم
+
+280
+00:19:35,260 --> 00:19:41,640
+تتحقق تمام؟Capacitors are said to be connected in
+
+281
+00:19:41,640 --> 00:19:45,400
+parallel if the potential across each one is the
+
+282
+00:19:45,400 --> 00:19:48,040
+same and equal to the potential across an
+
+283
+00:19:48,040 --> 00:19:51,440
+equivalent capacitor.إذن هذا هو شرط التوازي.إن ال
+
+284
+00:19:51,440 --> 00:19:56,020
+V يتساوى ويساوى ال V equivalent.هذا هو شرط التوازي
+
+285
+00:19:56,020 --> 00:19:59,340
+ال series combination شوفوا كيف نعمل تواصيت على
+
+286
+00:19:59,340 --> 00:20:02,920
+التواري هاي
+
+287
+00:20:02,920 --> 00:20:08,590
+two capacitors تمام واحد هناك واحد هناكهي C1 وهي
+
+288
+00:20:08,590 --> 00:20:14,530
+C2 بيقوللي وصل هدول تاني مع بعض وهده وصله هيك وحط
+
+289
+00:20:14,530 --> 00:20:20,070
+بطاريتك إيش بده يصير معاك؟ هزيد ال D مظبوط لكن
+
+290
+00:20:20,070 --> 00:20:23,410
+يشوف إيش بده يصير في عملية الشحن شباب يلا نشحن،
+
+291
+00:20:23,410 --> 00:20:27,630
+هاي الإلكترون، هذا هو الإلكترون، الآن شبكة
+
+292
+00:20:27,630 --> 00:20:29,450
+البطارية إيش بده يصير فيه إلكترون؟ بتتحرك
+
+293
+00:20:34,340 --> 00:20:38,440
+راح من الحمرا اللى علي اليمين وراح الزرق اللى علي
+
+294
+00:20:38,440 --> 00:20:44,740
+الشمال صح الاصل انه مازال هاد الكلام صحيح شوف انت
+
+295
+00:20:44,740 --> 00:20:51,240
+هادي وهادي لا راح منهم إلكترون ولا إجههم إلكترون
+
+296
+00:20:51,240 --> 00:20:55,280
+صح ولا لأ العملية هاد الإلكترون بيجيها البطارية
+
+297
+00:20:55,280 --> 00:20:59,340
+نزلت من هنا إجه هنا بقدر ارط منها لها في وسط عازل
+
+298
+00:20:59,340 --> 00:21:04,470
+بقدر ارط منها لها في وسط عازلهك بيصير طب إيش بده
+
+299
+00:21:04,470 --> 00:21:06,290
+يصير؟ بقول لأ احكيه؟
+
+300
+00:21:10,570 --> 00:21:14,390
+انت بتفكر ان هذه وسط عزل؟ هذه بطارية حبيبي، جوا مش
+
+301
+00:21:14,390 --> 00:21:17,350
+فاضية، هذه فيها بلاوي جوا، كل التفاعلات
+
+302
+00:21:17,350 --> 00:21:20,850
+الكيميائية، بس الرمز تبعها هو إيه؟ سبابي، يعني
+
+303
+00:21:20,850 --> 00:21:25,550
+انها مايبنياش يكون فيه .. يظن إن هذا مكان فاضي،
+
+304
+00:21:25,550 --> 00:21:31,330
+الرمز بيوحد، بنقطش قاعد، هو هذا أجي هنا لزج بعض
+
+305
+00:21:31,330 --> 00:21:34,840
+منه، يده بيجي هنا لزج، اللي بين الكل بلزج، نقطشهذا
+
+306
+00:21:34,840 --> 00:21:38,980
+من يخدمه أول و جديد غيره مش هو .. غيره فهمت عليها؟
+
+307
+00:21:38,980 --> 00:21:43,020
+لكن هنا مش فرق دي بالكم .. ها .. هذه في شغل بتفططه
+
+308
+00:21:43,020 --> 00:21:48,000
+.. جادة .. تمام .. هذا موجة مسلسل .. في .. في
+
+309
+00:21:48,000 --> 00:21:51,920
+مشكلة هيك؟ طبعا في الآخر بالزي الدي .. بس خليني
+
+310
+00:21:51,920 --> 00:21:55,500
+أقول .. هيت موجة مسلسل مافيش خلاف .. تمام؟ ليش؟
+
+311
+00:21:55,500 --> 00:21:58,700
+لإن هو ذا اكره منه إلكترون صار موجة .. و من أزرقها
+
+312
+00:21:58,700 --> 00:22:01,000
+بقت إيه جاء إلكترون صار سلسل .. مافيش مشكلة .. طيب
+
+313
+00:22:01,000 --> 00:22:05,350
+قولي جوه دول إيش فشحنهم؟أيش اللي شعلهم؟ لأن هذا Q
+
+314
+00:22:05,350 --> 00:22:09,030
+المفروض موجب سالب موجب سالب ولا لا؟ بيقوللي ايش
+
+315
+00:22:09,030 --> 00:22:12,370
+اللي صار معاك؟ thus the right blade of C1 the
+
+316
+00:22:12,370 --> 00:22:16,070
+right blade of C1 acquires a positive charge امين
+
+317
+00:22:16,070 --> 00:22:19,710
+لأنه مرتبط بالشحنة بالخطب الموجب للبطارية في خلاف
+
+318
+00:22:19,710 --> 00:22:27,040
+تمام why the left blade of C2؟اكويرز unequal
+
+319
+00:22:27,040 --> 00:22:31,240
+negative charge اكويرز يعني يكتسب برضه مافيش عليها
+
+320
+00:22:31,240 --> 00:22:35,420
+خلاف طب هجيجي تطلع على هذه المنطقة ال بين المجتين
+
+321
+00:22:35,420 --> 00:22:39,460
+اذا بيقوللي and the other to place enclosed by the
+
+322
+00:22:39,460 --> 00:22:42,800
+dashed line هذي اللي انا محوطه بال dashed line
+
+323
+00:22:42,800 --> 00:22:48,700
+المنجب form an isolated conductorالإلكترونات تتجه
+
+324
+00:22:48,700 --> 00:22:52,020
+إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه
+
+325
+00:22:52,020 --> 00:22:52,520
+إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه
+
+326
+00:22:52,520 --> 00:22:53,060
+إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه
+
+327
+00:22:53,060 --> 00:22:55,940
+إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه
+
+328
+00:22:55,940 --> 00:22:59,320
+إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه
+
+329
+00:22:59,320 --> 00:22:59,560
+إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و تتجه
+
+330
+00:22:59,560 --> 00:23:02,820
+إلى الجانب اليسرى و
+
+331
+00:23:02,820 --> 00:23:07,200
+تتجه إلى الجانب اليسرى و تتجه إلى الجانب اليسرى و
+
+332
+00:23:07,200 --> 00:23:14,920
+تتجه إلى الجانب اليسرى و
+
+333
+00:23:14,920 --> 00:23:20,540
+تتجه إلى الجانب اليصح ولا لأ؟ إذن هيك عملية الشحن
+
+334
+00:23:20,540 --> 00:23:25,320
+بتصير إذا أنا نفسي عالعال أكون تواني Q1 بتسوي Q2
+
+335
+00:23:25,320 --> 00:23:29,860
+مافيش مجاري Q1 و Q1 بتسويش Q2 حتى لو C1 و C2
+
+336
+00:23:29,860 --> 00:23:33,820
+بيسويش بقض مظلوط ولا لأ؟ لأن هيك طبيعة الشحن
+
+337
+00:23:33,820 --> 00:23:34,980
+فبيقول لي هنا
+
+338
+00:23:37,770 --> 00:23:41,890
+هذا يعني أن البطارية تدفع حرارة على الهواتف
+
+339
+00:23:41,890 --> 00:23:42,270
+المحطمة
+
+340
+00:24:00,900 --> 00:24:04,300
+طيب الأن it is clear here that the charges on each
+
+341
+00:24:04,300 --> 00:24:07,800
+capacitor must be the same and equal to the charge
+
+342
+00:24:07,800 --> 00:24:11,680
+on an equivalent capacitor هجيتها دي المجة طبعا
+
+343
+00:24:11,680 --> 00:24:16,900
+مسكوها و رموها نقص أي شحنة؟ لأ دي ديش ال total
+
+344
+00:24:16,900 --> 00:24:24,080
+charge عليها؟ ال total؟ zero فهي نقص زائد صح؟ but
+
+345
+00:24:24,080 --> 00:24:25,980
+او ثلاثة اش بتقول انك كبسيتر واحد
+
+346
+00:24:29,790 --> 00:24:33,010
+وهي اللي بليه اتبعتوا صح ولا لأ؟ في الأول لو هذه
+
+347
+00:24:33,010 --> 00:24:38,590
+كانت D1 وهذه D2 اللي بيكون اللي بينهم المسافة D1
+
+348
+00:24:38,590 --> 00:24:43,870
+زي D2 ولا لأ بتزيد المسافة وما زادت المسافة قلت
+
+349
+00:24:43,870 --> 00:24:47,590
+السعة لما اوصل على التواري السعة بتجل لأنه انا هنا
+
+350
+00:24:47,590 --> 00:24:52,050
+في هذه الحالة بزيد D عشان انتوا بس يتجرب عليكم هذه
+
+351
+00:24:52,050 --> 00:24:55,650
+هدولتوا كبسكت وزلتوا وانا حاططهم هنا بيدلزجهم بعد
+
+352
+00:24:55,650 --> 00:25:00,450
+تلزج هيكهيتوصلوا على التوالي ماعنديش سيليكا هوصل
+
+353
+00:25:00,450 --> 00:25:05,250
+لذاكته ماببعد بنفع توصليه اللي ماهو لذاكته ماببعد
+
+354
+00:25:05,250 --> 00:25:10,890
+فارج ايه هذه دي واحد و هذه دي اتنين هذه مسكتها و
+
+355
+00:25:10,890 --> 00:25:14,370
+رميتها والله ماخص علي اي اشي لافيه شحنات خصت
+
+356
+00:25:14,370 --> 00:25:18,290
+ولافيه اشي خص طبعا اني كبس تار عارف هذه اللي
+
+357
+00:25:18,290 --> 00:25:21,270
+بسميها equivalent capacitor طب جديش المسافة صارت
+
+358
+00:25:21,270 --> 00:25:24,670
+دي واحد زاد دي اتنين زادت دي ولا مازادتش زادت اذا
+
+359
+00:25:24,670 --> 00:25:30,040
+الساعة بتجلد هذا اللي احنا بنحكي جاعدينالكيوة
+
+360
+00:25:30,040 --> 00:25:33,740
+كوفرانت بيساوي كيو واحد بيساوي كيو اتنين طيب راسم
+
+361
+00:25:33,740 --> 00:25:39,400
+راسم انا ولا مارعرف لأ برضه بنرجع جديش فرق الجهود
+
+362
+00:25:39,400 --> 00:25:45,280
+من هال لهال حد اللي كوفرانت كبست مظبوط هل بيساوي
+
+363
+00:25:45,280 --> 00:25:48,440
+فرق الجهود من هال لهال زاد من هال لهال زاد من هال
+
+364
+00:25:48,440 --> 00:25:54,340
+لهالطب من هاللهال كده؟ ليش؟ لأنه كنت بكثر، إذا فرق
+
+365
+00:25:54,340 --> 00:25:57,820
+جهود من هاللهال هو فرق جهود من هاللهال زي فرق جهود
+
+366
+00:25:57,820 --> 00:26:00,800
+من هاللهال، هدي V واحد و هدي V اتنين، إذا مجموعة
+
+367
+00:26:00,800 --> 00:26:04,740
+two V's، تمام؟ لأنه من هاللهال .. ليش هنا في الشفق
+
+368
+00:26:04,740 --> 00:26:08,400
+جوه جباب؟ لأنه كنت بكتر واحد و هداك و potential
+
+369
+00:26:08,400 --> 00:26:13,590
+surface و كنا عارفينه، تمام؟فالقانون VAB V
+
+370
+00:26:13,590 --> 00:26:17,610
+equivalent V واحد زاد V اتنين قال لي ارجع للقانون
+
+371
+00:26:17,610 --> 00:26:23,530
+هذا ارجع للقانون هذا بيقول لي V بيساوي Q على C صح؟
+
+372
+00:26:23,530 --> 00:26:27,230
+Q على C قال لي اذا بدل V equivalent حط Q
+
+373
+00:26:27,230 --> 00:26:30,830
+equivalent على C equivalent وبدل V واحد حط Q واحد
+
+374
+00:26:30,830 --> 00:26:33,750
+على C واحد وبدل V اتنين وحط Q اتنين على C اتنين
+
+375
+00:26:33,750 --> 00:26:42,480
+هذا بضيعني البصد مصبوط؟ هاي القانون تبع التواليهي
+
+376
+00:26:42,480 --> 00:26:49,660
+القانون تبع التوالي عكس المقارنة المعاكسة
+
+377
+00:26:49,660 --> 00:26:53,060
+دي رباكم مش من المبدأ المعاكسة من القانون هذا
+
+378
+00:26:53,060 --> 00:26:58,160
+القانون يلو قانون يلو يبنعب جريبه بيقول R بتساوي
+
+379
+00:26:58,160 --> 00:27:07,120
+مش I على V بتساوي V على I ال V فوقه هذي I وQ اخويا
+
+380
+00:27:07,120 --> 00:27:14,810
+بنا اولادي لأن ال I شوةويتطيّر الشحنات بالتحركات
+
+381
+00:27:14,810 --> 00:27:16,570
+اظبط ولا لا فهم اخوة
+
+382
+00:27:19,130 --> 00:27:23,490
+الكباسيوتر يستخدمون للتواصل في سلسلة إذا كانت
+
+383
+00:27:23,490 --> 00:27:27,450
+تسيطرة على كل واحدة متساومة ومتساومة ومتساومة
+
+384
+00:27:27,450 --> 00:27:31,770
+ومتساومة ومتساومة ومتساومة ومتساومة ومتساومة
+
+385
+00:27:31,770 --> 00:27:40,270
+ومتساومة ومتساومة
+
+386
+00:27:40,270 --> 00:27:42,950
+ومتساومة
+
+387
+00:27:45,090 --> 00:27:48,070
+فاهمين يا شباب؟ عشان اعرف فيه توالي، بدي الشرط
+
+388
+00:27:48,070 --> 00:27:52,570
+تتثوث، ما تثوثش، مافيش توالي، بقولش فيه توازي، لأ،
+
+389
+00:27:52,570 --> 00:28:00,170
+بدي اعرف شرط التوازي، هنشوف هذا المثال، بقيلها
+
+390
+00:28:00,170 --> 00:28:04,850
+حلوة لان يعني، بتكون بتحل طريقة تانية للحل، في
+
+391
+00:28:04,850 --> 00:28:07,250
+مبدأ conservation of charge بيجيبها، زي قواعد
+
+392
+00:28:07,250 --> 00:28:11,410
+كيرشوف ذاكرها، بتحل هذه الشغلات5 equivalent
+
+393
+00:28:11,410 --> 00:28:14,430
+capacitance for the combination shown all
+
+394
+00:28:14,430 --> 00:28:18,050
+capacitors are in micro farads هاي الرسمة بيقول
+
+395
+00:28:18,050 --> 00:28:20,330
+اجيب لل equivalent capacitors كم واحدة دلوقت اتنين
+
+396
+00:28:20,330 --> 00:28:24,410
+تلاتة اربع خمسة ستة capacitors بدوا V equivalent
+
+397
+00:28:24,410 --> 00:28:28,350
+بين ايه من هنا لهنا طبعا هذه واحد micro farads all
+
+398
+00:28:28,350 --> 00:28:31,130
+capacitors are in micro farads هذه تلاتة micro
+
+399
+00:28:31,130 --> 00:28:33,990
+farads هذه اربع micro farads هذه ستة وهذه اتنين
+
+400
+00:28:33,990 --> 00:28:38,030
+وهذه تمانية وكلهم micro farads كيف بيدحلهم؟بقولي
+
+401
+00:28:38,030 --> 00:28:40,990
+واحدة واحدة اشتغل انت في الآخر بدك تضلك هذه الرسمة
+
+402
+00:28:40,990 --> 00:28:44,790
+تضلك اتزغر فيها لما في الآخر كم كبسطر يصفع عندك؟
+
+403
+00:28:44,790 --> 00:28:51,750
+واحد عجيبك ده اقول واحد واربعة توالي؟ لأ واحد و
+
+404
+00:28:51,750 --> 00:28:58,430
+تلاتة مالهم؟ تمام هل اربعة و تمانية توازي؟ لأ برضه
+
+405
+00:28:58,430 --> 00:29:04,820
+لأ بره اذا هذه الرسمة سهلة بقولي هذه كيف؟طوارئ او
+
+406
+00:29:04,820 --> 00:29:10,480
+توازي؟ بقول parallel صح حلو طب و هذه ايه؟ برضه
+
+407
+00:29:10,480 --> 00:29:14,060
+parallel طب ال parallel بجمع على مجمع ايش؟ اذا ال
+
+408
+00:29:14,060 --> 00:29:15,800
+parallel اللي بدي اجيب التانية انها دي و احط محلهم
+
+409
+00:29:15,800 --> 00:29:18,840
+جدي ايش؟ اربعة و التحتانية اللي اجيبها و احط محلهم
+
+410
+00:29:18,840 --> 00:29:22,500
+ايش؟ اذا انجلي هيك صارت هذه بدل هذه و هذه بدل هذه
+
+411
+00:29:22,500 --> 00:29:26,920
+صح ولا لأ؟ بنحل على الرسمة نكتب و نغلي بحالنا
+
+412
+00:29:26,920 --> 00:29:34,680
+تمام؟طيب هدول كيف؟ مش واحد يخلط يقولي هدول فوق بقى
+
+413
+00:29:34,680 --> 00:29:40,080
+التوازي هدول توازي؟ متساويش الجهود أما هدول تواري
+
+414
+00:29:40,080 --> 00:29:44,740
+قطعا طب و هدول؟ برضه تواري إذا هدول series ال
+
+415
+00:29:44,740 --> 00:29:49,840
+series واحد على واحد ربع ربع نص إذا في اتنين اتنين
+
+416
+00:29:49,840 --> 00:29:56,260
+بتصير و تحت تمن و تمن ربع اقلب اربعة فبتصير هفوق
+
+417
+00:29:56,260 --> 00:30:04,570
+اتنين وهذه هيكتمام؟ جديش هدول؟ توازي يعني أول خلص
+
+418
+00:30:04,570 --> 00:30:11,570
+السؤال ستة تمام؟ سهل العملية أحكي أت التوالي و
+
+419
+00:30:11,570 --> 00:30:16,330
+التوازي أحكي أت التوالي أربع على أربع واحد على
+
+420
+00:30:16,330 --> 00:30:19,250
+أربع زائد واحد على أربع نص
+
+421
+00:30:23,140 --> 00:30:28,960
+هو اجلب عرض اجلب الرصاص او اتنين والربع هو اجلب
+
+422
+00:30:28,960 --> 00:30:36,560
+الربع او اتنين انا كنت
+
+423
+00:30:36,560 --> 00:30:39,480
+حالي شغل معينة مش حالي راح اعملها هناك في مشكلة
+
+424
+00:30:39,480 --> 00:30:40,560
+هنا شباب احكي
+
+425
+00:30:46,850 --> 00:30:52,110
+طبعا، هو لما كنت .. اه مواعيد، يعني هذا جمع كثره
+
+426
+00:30:52,110 --> 00:30:56,950
+كيالية، قطعامافيش اي مشكلة يعني هو عشان ما يغلطش
+
+427
+00:30:56,950 --> 00:31:01,950
+فبقول فانما اقول انا واحد على C كوكلان بيساوي واحد
+
+428
+00:31:01,950 --> 00:31:04,870
+ع سي واحد زاد واحد ع سي اتنين بس لما اكون اتنين ده
+
+429
+00:31:04,870 --> 00:31:07,310
+بيساوي C كوكلان بيساوي C واحد C اتنين ع سي واحد
+
+430
+00:31:07,310 --> 00:31:13,770
+زاد C اتنين او نص نده لما اقول متساوي مش دائما
+
+431
+00:31:13,770 --> 00:31:18,750
+متساوي طبعا لو واحد ثلاثة وبتاني اربعة عيش نقول نص
+
+432
+00:31:18,750 --> 00:31:20,850
+مده نرجع لو طلعوا
+
+433
+00:31:34,200 --> 00:31:40,060
+هو نفس القضية نفس القضية طبعا بس في هذه الحالة ايش
+
+434
+00:31:40,060 --> 00:31:50,420
+بيصير معاك انت لما تعملها يعني انا ذاكرك بس صح
+
+435
+00:31:50,420 --> 00:31:54,380
+هي اللي صار فيها دي مش سفر يا بنا شباب هذه صارت
+
+436
+00:31:54,380 --> 00:31:59,630
+سلكمامرش يعني ليه؟ لأن صار فرق الجهد بيهم zero و
+
+437
+00:31:59,630 --> 00:32:03,090
+فرق الجهد ال zero زي كانها cynic صارت لما يكون هدى
+
+438
+00:32:03,090 --> 00:32:06,130
+cynic .. جديش فرق الجهد بين المقاطين هدول؟ شفر ..
+
+439
+00:32:06,130 --> 00:32:12,190
+هيك بتصير .. استبدال .. بيحنيجيها .. طب هنا فرق
+
+440
+00:32:12,190 --> 00:32:15,290
+الجهد بيمرش لإنه مافيش شي عندي .. أنا فرق الجهد ..
+
+441
+00:32:15,290 --> 00:32:16,970
+القيامة بيمر من الجهد دي لعلي الجهد اللي أقل ..
+
+442
+00:32:16,970 --> 00:32:21,600
+انا مصار جهد بيهم مافيش .. تمامإيش مهمة ال .. إيش
+
+443
+00:32:21,600 --> 00:32:24,460
+شغلات الكابستر شباب لو سألكم؟ إيش مهمة الكابستر؟
+
+444
+00:32:24,460 --> 00:32:28,140
+تخزين طاقة .. تخزين طاقة .. أي شغلته؟ يعني أنا
+
+445
+00:32:28,140 --> 00:32:31,400
+بحطه جوه ال .. الراديو و لا جوه التلفزيون و لا جوه
+
+446
+00:32:31,400 --> 00:32:34,860
+ال calculator؟ أتفرج عليه و لا ليه المهمة؟ مهمته
+
+447
+00:32:34,860 --> 00:32:37,980
+هي تخزين الطاقة الكهربية كيف جانيما أنت بتشحنه
+
+448
+00:32:37,980 --> 00:32:41,140
+عملية الشحن مش .. احنا طبعا شوفنا .. شوفت الأترون
+
+449
+00:32:41,140 --> 00:32:44,860
+و هو بتحرك؟ مش هيك عملية الشحن؟ فيه أترون بتحرك
+
+450
+00:32:44,860 --> 00:32:48,500
+يعني في شحنة بتنتقل من مكان لمكان و لما أنجل شحنة
+
+451
+00:32:48,500 --> 00:32:53,980
+في شغل مبدل ولا مافيفي مين بيخزن الشغل؟ البطارية
+
+452
+00:32:53,980 --> 00:32:57,780
+البطارية بتبقى تشغل وتبقى تشغل وين راح؟ بتخزن جوا
+
+453
+00:32:57,780 --> 00:33:01,220
+عليها الطاقة اذا هي الطاقة من هنا ايه؟ لو
+
+454
+00:33:01,220 --> 00:33:05,100
+الكاباسيتر مش مشحون فيه جوا طاقة؟ لأ اذا انا بقاش
+
+455
+00:33:05,100 --> 00:33:08,740
+حاجة محطه في دار كهربائية وبالتالي بصير بيخزن طاقة
+
+456
+00:33:08,740 --> 00:33:12,140
+كيف بدي احسبها هالطاقة؟ بيقول ال energy stored in
+
+457
+00:33:12,140 --> 00:33:16,080
+a charged capacitor بدي احسبها سهلة وكل ما خدته في
+
+458
+00:33:16,080 --> 00:33:19,860
+الشبطار اللي جابلها ده نحسبهابقول as mentioned
+
+459
+00:33:19,860 --> 00:33:32,280
+before in charging a capacitorالإلكترون يتحرك من
+
+460
+00:33:32,280 --> 00:33:38,560
+مجلة إلى مجلة مرتبطة بالقطب السالب وبالتالي راحت
+
+461
+00:33:38,560 --> 00:33:42,700
+من هنا موجب صارت سالبة راحت على البلية التانية
+
+462
+00:33:42,700 --> 00:33:46,720
+صارت موجب وصارت سالبة فصار في فرق جهد واحد موجب
+
+463
+00:33:46,720 --> 00:33:51,580
+واحد سالب تمام هذا هياللي احنا عملناها وعملناها زي
+
+464
+00:33:51,580 --> 00:33:56,280
+كمرة رصدها هيك انا بشحن كبسيطر ال الاترون بروح من
+
+465
+00:33:56,280 --> 00:33:59,120
+واحدة بالصير الموجة بروح ع التانية بالصير الساربة
+
+466
+00:33:59,120 --> 00:34:03,700
+واتقش بجاف لما الصير الجهود تتساوى خلاص بيبطل في
+
+467
+00:34:03,700 --> 00:34:07,700
+مجال اني انتقل وزي ما حكيت انت انه انا في عندى حد
+
+468
+00:34:07,700 --> 00:34:11,220
+بترضه وواحد تاني بترضه مش شجال تانية بيغلب اللي
+
+469
+00:34:11,220 --> 00:34:14,800
+بيضطر اكتر لكن لما يتساوى حد بيغلب بيبطل يبطل يضطر
+
+470
+00:34:14,800 --> 00:34:17,870
+الاترون لا من هنا ولا من هنا خلاص بيبطل في حركةزي
+
+471
+00:34:17,870 --> 00:34:20,430
+اللي احنا حكينا انه انا اللي اتكون هنا بطلبه حد و
+
+472
+00:34:20,430 --> 00:34:23,650
+حد بيطرده طب ما هذي صارت ثالثة بتطرده التالية لكن
+
+473
+00:34:23,650 --> 00:34:26,610
+هذي أجواء بتبقى بتطرد لما تصير هذي و هذي بيساوي
+
+474
+00:34:26,610 --> 00:34:28,950
+بعض بيبقى اللي اتطرد خاص بيبقى بيبقى بيبقى بيبقى
+
+475
+00:34:28,950 --> 00:34:29,470
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+476
+00:34:29,470 --> 00:34:31,890
+بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى بيبقى
+
+477
+00:34:31,890 --> 00:34:37,950
+بيبقى بيبقى بيبقى بيب
+
+478
+00:34:38,860 --> 00:34:42,160
+هو عمره السالي ممكن تسيطر على الموجب و الموجب
+
+479
+00:34:42,160 --> 00:34:46,380
+دايما اكفر حاجات تتطلع عليها، هذي زرقه ولا لا؟ هذي
+
+480
+00:34:46,380 --> 00:34:50,020
+سالبة او هذي؟ حاجات تنتهي سالبة بعد مين ممكن تسيطر
+
+481
+00:34:50,020 --> 00:34:54,580
+على الكتار؟ الأقوىالبطارية دائما موجودة سالبة طبعا
+
+482
+00:34:54,580 --> 00:34:58,220
+هدقلي لك الخطب السالب تبع المكفر وكتير صار سالب
+
+483
+00:34:58,220 --> 00:35:01,880
+أول مرة اتمر بطارية صح؟ أول حاجة صار سالب خلنا
+
+484
+00:35:01,880 --> 00:35:04,800
+نقول سالب واحد volt و بعدين صاروا اتنين volt و
+
+485
+00:35:04,800 --> 00:35:07,380
+بعدين صاروا ثلاثة volt البطارية عشرة volt لما صير
+
+486
+00:35:07,380 --> 00:35:10,000
+عشرة volt بنقول احنا صلنا جد باحد ماحد يضطر من
+
+487
+00:35:10,000 --> 00:35:14,220
+اتحادها فبتستقر و بتبطل في عيننا مخل شحنات و حكينا
+
+488
+00:35:14,220 --> 00:35:14,520
+احكي
+
+489
+00:35:24,120 --> 00:35:29,860
+عملك أسمعتي من البطارية ده ساعة؟
+
+490
+00:35:29,860 --> 00:35:35,320
+البطارية ساعة يعني؟ ال volt ساعة؟ جودها؟ جود
+
+491
+00:35:35,320 --> 00:35:39,750
+المكثف من وين جود المكثف هو؟ الجود؟هو بجهده ايه
+
+492
+00:35:39,750 --> 00:35:43,290
+لما اضطط بالبطارية عشان كده لو اضطط مكافح من اي
+
+493
+00:35:43,290 --> 00:35:48,050
+انكان البطارية عمره بيكون جهده اقل او اكتر من جهد
+
+494
+00:35:48,050 --> 00:35:55,410
+البطارية لازم يسويه لازم يسويه لان هو اخذ جهده منه
+
+495
+00:35:55,410 --> 00:36:01,450
+اخذ جهده منه هذي silico silico او بليت و بليت جبعت
+
+496
+00:36:01,450 --> 00:36:06,960
+عبارة عن ثلاجتين ثلاجتين بوريشيو بقى طبعا بطاريزه
+
+497
+00:36:06,960 --> 00:36:11,160
+يسلوا معاه يصوى الجهاز و يسلوا بشغله و يخزن طاقة و
+
+498
+00:36:11,160 --> 00:36:14,500
+يذاكروا بيخرب الراديو و بيخرب التلفزيون و هم يقفوا
+
+499
+00:36:14,500 --> 00:36:18,000
+في جراد عضارة على صفحتين بينهم بصوت عازل اذا جهده
+
+500
+00:36:18,000 --> 00:36:22,900
+بقدرش اقارن بينهم تمام؟ حلو بيقولي طب و أنت قاعد
+
+501
+00:36:22,900 --> 00:36:26,940
+تهبأ بينك اتفقنا في شغل ولا مافيش شغل؟ طب الشغل
+
+502
+00:36:26,940 --> 00:36:31,760
+إيش بيساوي؟ مش بيساوي الشغل الشحنة الموقولة في فرق
+
+503
+00:36:31,760 --> 00:36:36,760
+الجهد بينهم؟تمام؟ انا قاعد بنجول من hand ل hand لو
+
+504
+00:36:36,760 --> 00:36:40,100
+جبتلي فرق الجهد ل hand بتقدر تجيب الشغل بقوله اه
+
+505
+00:36:40,100 --> 00:36:43,420
+الشغل بساوي شحنة ال electrode فى فرق الجهد ل hand
+
+506
+00:36:43,420 --> 00:36:46,940
+لأن انا بنجول من hand ل hand و لا لأ ذاكرين؟ فرق
+
+507
+00:36:46,940 --> 00:36:51,620
+الجهد من نقطتين يعرف على ان الشغل اللازم عشان أنقل
+
+508
+00:36:51,620 --> 00:36:55,840
+وحدة الشحنات من نقطة لنقطة لو بدي اجيب الشغل عشان
+
+509
+00:36:55,840 --> 00:36:59,720
+أنقل شحنة بقوله دروف الشحنة المنقولة تمام؟ بيقوللي
+
+510
+00:37:01,520 --> 00:37:07,820
+هذا يعني أن العمل محتاج لتشارج كفاصيتر.والعمل
+
+511
+00:37:07,820 --> 00:37:12,780
+بتاعنا هو بطارية وهذا العمل محتاج لتشارج كفاصيتر
+
+512
+00:37:12,780 --> 00:37:13,500
+.هذا العمل محتاج لتشارج كفاصيتر.هذا العمل محتاج
+
+513
+00:37:13,500 --> 00:37:19,120
+لتشارج كفاصيتر.هذا العمل محتاج لتشارج كفاصيتر.هذا
+
+514
+00:37:19,120 --> 00:37:23,400
+العمل محتاج لتشارج
+
+515
+00:37:23,400 --> 00:37:28,270
+كفاصيتر.واضرب بشحن المنقولة وانهيها القضية بيقول
+
+516
+00:37:28,270 --> 00:37:30,450
+لي كهذا البرنامج اللي بيبقى بيت كمستو كان في الأول
+
+517
+00:37:30,450 --> 00:37:34,610
+فاضي قال ليش فارقة جوهر بين طلافينه؟ سفر، مظبط ولا
+
+518
+00:37:34,610 --> 00:37:40,610
+لأ؟ أول إلكترون نجاته بتبذل الشغللأ، لو كان فيه
+
+519
+00:37:40,610 --> 00:37:43,750
+فرق جوهب بينهم، ففيش الـcapacitor عبارة عن البيت
+
+520
+00:37:43,750 --> 00:37:46,050
+الـcapacitor is initially on the charge support
+
+521
+00:37:46,050 --> 00:37:49,350
+that Q الشحنات الإلكتروني من يرجع حاجات للـnon
+
+522
+00:37:49,350 --> 00:37:51,070
+-nother يعني الشحنات الموجة بيبقى تبروها اللي
+
+523
+00:37:51,070 --> 00:37:55,790
+بتتحرك support that Q small q is that charge built
+
+524
+00:37:55,790 --> 00:37:59,230
+up on the capacitor at some instant انت مانبتش
+
+525
+00:37:59,230 --> 00:38:02,770
+حاجة الcapacitor في الآخر هيصفي عليك شحنات capital
+
+526
+00:38:02,770 --> 00:38:05,910
+Q لكن ال capital Q مرة واحدة تيجي ولا واحدة واحدة؟
+
+527
+00:38:06,460 --> 00:38:12,940
+نفترض هذه العملية ستأخذ معاك خمس ثواني خمس ثواني
+
+528
+00:38:12,940 --> 00:38:17,040
+اكبرها شوية بعد ثانيتين تفحص فيه شحنات بيكونوا ولا
+
+529
+00:38:17,040 --> 00:38:20,760
+لأ فيه هذول الشحنات اللي فحصتهم بعد ثانيتين ارمزهم
+
+530
+00:38:20,760 --> 00:38:24,740
+بالرمس small q كل الشحنات اللي لسه مخلصوش لسه جزء
+
+531
+00:38:24,740 --> 00:38:29,280
+هي small q حيث بعد ثانيتين لو جيبك voltmeter جسد
+
+532
+00:38:29,280 --> 00:38:32,560
+بتلاقي فرق جوه اللي لأ بلاقي كيف تحسبوا بيكون
+
+533
+00:38:32,560 --> 00:38:36,800
+small q على اساسصح ولا لأ؟ لذا بعد ثانيتين يعني
+
+534
+00:38:36,800 --> 00:38:37,920
+أثناء عملية الشحن
+
+535
+00:38:41,730 --> 00:38:49,650
+أثناء عملية الشحن لسه مانتلاش بمعنى أخر لسه الجهود
+
+536
+00:38:49,650 --> 00:38:53,830
+ماتساوتش لسه الجهود ماتساوتش تم الـ Potential
+
+537
+00:38:53,830 --> 00:38:57,430
+Difference across the capacitor at this instant
+
+538
+00:38:57,430 --> 00:39:01,070
+بقى ثانيتين لسه أنت مخلصتش جيس الجهود يقول يخلينا
+
+539
+00:39:01,070 --> 00:39:04,450
+جيسه بدي أحسبه ليس على جيسه V بالساوة Q على C غلط
+
+540
+00:39:04,450 --> 00:39:10,690
+صح وحطته اسمه V لأن هو جزء من V مش كلهبيقول لان
+
+541
+00:39:10,690 --> 00:39:14,890
+انت جاعل تنجل لسه بيقول احسبلي الان انت مجلد 100
+
+542
+00:39:14,890 --> 00:39:19,690
+إلكترون احسبلي الشغل اللازم عشان أنجل الإلكترون
+
+543
+00:39:19,690 --> 00:39:26,120
+101بينهم جالي المية جهد عرفته والإلكترون المنجول
+
+544
+00:39:26,120 --> 00:39:31,020
+بعرفه اضرب بقول ال DW الشغل اللازم عشان أنجل شحنة
+
+545
+00:39:31,020 --> 00:39:38,000
+واحدة بتساوي V في DQ وDQ هي المنجولة في V و V هيها
+
+546
+00:39:38,000 --> 00:39:41,600
+هذا الشغل عشان أنجل شحنة واحدة طب انت شحنة واحدة
+
+547
+00:39:41,600 --> 00:39:46,740
+بتنجل؟ بتنجل كتير كاملقال له ايامان كامل العمل
+
+548
+00:39:46,740 --> 00:39:52,480
+الكامل يتطلب ان تشجع كباسيتر من اي حالة تشجع في
+
+549
+00:39:52,480 --> 00:40:02,660
+الأول كان فاضي لتشجع كبيتال كيو اذا كامل هذا كامل
+
+550
+00:40:02,660 --> 00:40:06,080
+لماذا لم تبدأ من صفر لكبيتال كيو في الأول لماذا
+
+551
+00:40:06,080 --> 00:40:11,440
+كان فاضي و في الأخر تشجع كبيتال كيو تمام لماذا
+
+552
+00:40:11,440 --> 00:40:15,040
+السوق يريد ان يخزن داخله على اي طاقةهذا العمل
+
+553
+00:40:15,040 --> 00:40:19,920
+سيكون مخزن في الكباسيوتر كإنجليزيا قوية U تساوي Q
+
+554
+00:40:19,920 --> 00:40:26,840
+تربيع 2C هذا القانون لو استخدمته سيجلبك مانصغتين
+
+555
+00:40:26,840 --> 00:40:33,340
+إليه حط Q تساوي C في V C في V سيحط C V تربيع V
+
+556
+00:40:33,340 --> 00:40:36,560
+تربيع معاسم هنا نصف C V تربيع
+
+557
+00:40:40,260 --> 00:40:46,680
+أو خلّى Q حق بدل C Q على D فهذه الـC كلها لـU ومن
+
+558
+00:40:46,680 --> 00:40:50,780
+تحفظ أحفظ واحد فيهم اللي اشتقته أسهل تحفظه نصف Q
+
+559
+00:40:50,780 --> 00:40:54,080
+تربيع على C والتانين بيجيوا من القرن هذا مافيش أي
+
+560
+00:40:54,080 --> 00:40:59,820
+إشكلة يزنها U طبعا واحدة تبعتنا جول خلّيني أشوف
+
+561
+00:40:59,820 --> 00:41:04,800
+الجول هذا إيش قصته ماهي مبين أصلا ماديهوش قصة هذه
+
+562
+00:41:04,800 --> 00:41:08,900
+Coulomb-Wold هي جول مابيديش أشتقها ولا غلي بحالي
+
+563
+00:41:08,900 --> 00:41:09,820
+تمام
+
+564
+00:41:12,440 --> 00:41:17,680
+نشوف هالمثال يعني هو ده مثال شوية مش علاقة مباشرة
+
+565
+00:41:17,680 --> 00:41:24,140
+بال energy بس يعني عشان نفهم ايش اللي بيصير شوية
+
+566
+00:41:24,140 --> 00:41:28,280
+غريب المثال ها دي بيقولي two capacitors C1 and C2
+
+567
+00:41:28,280 --> 00:41:31,920
+are charged to the same potential difference V0
+
+568
+00:41:31,920 --> 00:41:35,120
+بيقولي هدول عندك two capacitors عندك بطارية شباب
+
+569
+00:41:35,120 --> 00:41:39,340
+البطارية مش غيرها عندك بطارية جهدها V0 شبكة الأول
+
+570
+00:41:41,770 --> 00:41:45,990
+انشحن فكته و حطته على الطاولة شوية شوية شبكتي
+
+571
+00:41:45,990 --> 00:41:49,290
+التاني ايش صار فيه برضه انشحن و حطته على الطاولة
+
+572
+00:41:49,290 --> 00:41:52,010
+الراجل تقول ان انا لدي two capacitors مشحنين بدي
+
+573
+00:41:52,010 --> 00:41:56,590
+ألعب فيهم تمام بيقول two capacitors C1 and C2 و C1
+
+574
+00:41:56,590 --> 00:41:59,670
+أكبر من C2 are charged with the same potential
+
+575
+00:41:59,670 --> 00:42:03,730
+difference V0 شحنتهم من نفس البطارية اللي شحنها V0
+
+576
+00:42:03,730 --> 00:42:06,810
+ده V0 the charge capacitors are removed from the
+
+577
+00:42:06,810 --> 00:42:13,180
+battery انا بعد ما اشحنه كنت فدت البطاريةو بعد ذلك
+
+578
+00:42:13,180 --> 00:42:19,580
+اتشارجت كباسيتار و اتشارجت كباسيتار جاني واحد
+
+579
+00:42:19,580 --> 00:42:25,980
+حاططهم هيك شباب اتطلع انت حاطيت انا الموجب والسالب
+
+580
+00:42:25,980 --> 00:42:29,680
+عكس بعض الموجب فوق السالب والسالب فوق الموجب
+
+581
+00:42:29,680 --> 00:42:32,740
+وحاطيت مفاتيح والان بدي أسكر مفاتيحي
+
+582
+00:42:35,440 --> 00:42:38,040
+Find the potential difference between points A and
+
+583
+00:42:38,040 --> 00:42:39,800
+B after closing the switches
+
+584
+00:42:46,180 --> 00:42:49,100
+وش كمان بده؟ find the total energy stored before
+
+585
+00:42:49,100 --> 00:42:51,980
+and after closing the searches و قاللي في الأول
+
+586
+00:42:51,980 --> 00:42:55,840
+انت مشحونين ولا مش مشحونين و المفاتيح زي ما هي
+
+587
+00:42:55,840 --> 00:42:59,040
+مفتوحة اذا فى energy ولا مافيش energy؟ فى energy
+
+588
+00:42:59,040 --> 00:43:02,760
+لو الفجانية ال energy تبعت عشر او التحتانية تمانية
+
+589
+00:43:02,760 --> 00:43:07,780
+تجيب تجيب ال total energy ولا لا؟ 18مظبوط؟ لأن هذي
+
+590
+00:43:07,780 --> 00:43:10,760
+energy scalars انا فوق عندي عشر جول وتحت فيه
+
+591
+00:43:10,760 --> 00:43:13,380
+تمانية جول جدش ال total energy بقاله عشر او تمانية
+
+592
+00:43:13,380 --> 00:43:13,680
+و تمانية و تمانية و تمانية و تمانية و تمانية و
+
+593
+00:43:13,680 --> 00:43:13,820
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+594
+00:43:13,820 --> 00:43:14,320
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+595
+00:43:14,320 --> 00:43:18,540
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+596
+00:43:18,540 --> 00:43:21,960
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+597
+00:43:21,960 --> 00:43:29,300
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+598
+00:43:29,300 --> 00:43:29,320
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+599
+00:43:29,320 --> 00:43:36,140
+تمانية و تمانية و تمانية
+
+600
+00:43:36,140 --> 00:43:42,890
+ووروحت فكيتها انشحنت هاي شحناتها من وين جبتها
+
+601
+00:43:42,890 --> 00:43:49,150
+دلوقت؟ C في V صح؟ C واحد في V نوعية واحدة موجة
+
+602
+00:43:49,150 --> 00:43:54,430
+بواحدة ساية بقى في مشكلة؟ تمام جبت التاني شبكته
+
+603
+00:43:54,430 --> 00:43:59,450
+بالبطارية انشحن ولا لأ؟ خلاص بقول حرك ليه حرك ليه
+
+604
+00:43:59,450 --> 00:44:05,350
+فكيت البطارية برضه هيك صار جلبته انا جلبته
+
+605
+00:44:07,960 --> 00:44:10,320
+the charge on each capacitor before closing the
+
+606
+00:44:10,320 --> 00:44:12,780
+switches دي هم .. هيبقى ال switches هيبقى ايه ..
+
+607
+00:44:12,780 --> 00:44:17,200
+مزايا مافيش عنده closing Q1 initial بالساوي C1 V0
+
+608
+00:44:17,200 --> 00:44:21,120
+و Q2 initial بالساوي C2 V0 initial يعني قبل ما
+
+609
+00:44:21,120 --> 00:44:24,960
+أسكر مفاتيحي شباب .. تمام؟ هيسر البطارية روحت ..
+
+610
+00:44:24,960 --> 00:44:28,100
+انسوا البطارية مش موجودة .. شحنة روحت .. تمام؟ قال
+
+611
+00:44:28,100 --> 00:44:32,880
+الهلجيت إيش بيكسوي؟ after closing the switches هيك
+
+612
+00:44:32,880 --> 00:44:38,850
+هتصير .. مظبوط ولا لأ؟ انت بقولي شباب هلجيت ..فوق
+
+613
+00:44:38,850 --> 00:44:46,110
+في عشرة و تحت في ناقص تمانية اعتبرها جديش ال total
+
+614
+00:44:46,110 --> 00:44:50,990
+اتنين ال total اتنين واحد جديش بده ياخد والتاني
+
+615
+00:44:50,990 --> 00:44:53,970
+جديش بده ياخد مانيش دعوة اذا اخد الفجار نصف
+
+616
+00:44:53,970 --> 00:44:56,910
+والتاني تحتاني جديه بده يكون واحد و نصف لكن مقدر
+
+617
+00:44:56,910 --> 00:45:00,300
+اقول ان المجموع صار اتنين ولا لأ؟طب فان المجموعة
+
+618
+00:45:00,300 --> 00:45:05,800
+هنا بقدر أقول بـ C1 V0 ناقص C2 V0 ولا لأ؟ طب إيه
+
+619
+00:45:05,800 --> 00:45:08,820
+اللي بيعشق التانية نفس القضية؟ واحدة موجة بواحدة
+
+620
+00:45:08,820 --> 00:45:12,920
+سلب، التانية هتكون سلب اتنين ولا لأ؟ اذا بيقوللي
+
+621
+00:45:12,920 --> 00:45:16,460
+after closing the switches the net is charged on
+
+622
+00:45:16,460 --> 00:45:19,340
+the two capacitors، the net اللي هو اتنين يعني،
+
+623
+00:45:19,340 --> 00:45:21,840
+عادتني من ال net ع التنتين، ماجدتش كل واحدة أخدت
+
+624
+00:45:21,840 --> 00:45:27,360
+مصيبة مش عارف لسه، تمام بيقوللي هدول، ماجدتيش؟هي
+
+625
+00:45:27,360 --> 00:45:32,000
+ال net و مش هدول ال net جديش و هدول ال net برضه
+
+626
+00:45:32,000 --> 00:45:36,780
+بتساوي q واحد initial نقص q اتنين initial طبعا في
+
+627
+00:45:36,780 --> 00:45:40,580
+الأخر اخد هادي و لا اخد هادي بتفرجش معايا طبعا
+
+628
+00:45:40,580 --> 00:45:43,080
+هادي هتطلع اتنين و هدا هتطلع صلب اتنين مضبوط ولا
+
+629
+00:45:43,080 --> 00:45:48,360
+لأ لكن capsulate value واحدة منهمبتساوي V0 C1-C2
+
+630
+00:45:48,360 --> 00:45:51,700
+على اعتبار ان Q1 initial هي شباب و Q2 initial هي
+
+631
+00:45:51,700 --> 00:45:56,680
+جمتي ال V0 عالم مشترك لأنها طلعت C1-C2 هال 2 أكبر
+
+632
+00:45:56,680 --> 00:45:59,420
+من التانية هو جاي يقوللي C1 أكبر من C2 لكن لو
+
+633
+00:45:59,420 --> 00:46:05,340
+عكستها في الآخر تفجيهش معايا هاي Q ال net ها دي طب
+
+634
+00:46:05,340 --> 00:46:09,400
+ال 2 ها دي دي انا جوب 8 او 10 او 2 ايش اولا قطها
+
+635
+00:46:09,400 --> 00:46:12,910
+بكل واحدة هال جت لحال مش المجموعالمجموعة اتنين
+
+636
+00:46:12,910 --> 00:46:16,690
+بقدر اقول الان the minus sign هو بس بيقولي من وين
+
+637
+00:46:16,690 --> 00:46:19,310
+اتيت ال minus sign is because the two plates are
+
+638
+00:46:19,310 --> 00:46:22,210
+that are connected with opposite pluralities بيقول
+
+639
+00:46:22,210 --> 00:46:25,030
+السلب اللي انت شايفه هنا عشان هنا فيه سلب انا بجمع
+
+640
+00:46:25,030 --> 00:46:29,150
+بجمع عشرة و سلب تمانية مابقولش عشرة زي التمانية
+
+641
+00:46:29,150 --> 00:46:32,950
+بقول عشرة و سلب تمانية و هنا بيصير سالب عشرة و زي
+
+642
+00:46:32,950 --> 00:46:36,630
+التمانية واضح فحكاية السلب مش اللي يقولي لازم تكون
+
+643
+00:46:36,630 --> 00:46:41,210
+موجب لأ السلب معروف علشانبقول since the two
+
+644
+00:46:41,210 --> 00:46:44,390
+capacitors are connected together هجيت هدول شباب
+
+645
+00:46:44,390 --> 00:46:49,370
+ماشي كون بكتر صار واحد بقدر اقول V1 بيساوي V2 ولا
+
+646
+00:46:49,370 --> 00:46:53,730
+لأ اه مانهاش دعوة بالتوازي والتواري V1 بيساوي V2
+
+647
+00:46:53,730 --> 00:46:57,230
+لان هدول مستمرين مع بعض بقول since the two
+
+648
+00:46:57,230 --> 00:47:00,210
+capacitors are connected together this charge will
+
+649
+00:47:00,210 --> 00:47:03,190
+be distributed between the two capacitors provided
+
+650
+00:47:03,190 --> 00:47:08,460
+thatv1 لازم تساوي v2 اتوصلت تسكّلت مفاتيحي اذا
+
+651
+00:47:08,460 --> 00:47:12,080
+لازم v1 final تساوي v2 final كمان مرة final بتعني
+
+652
+00:47:12,080 --> 00:47:15,760
+بعد ما سكّلت مفاتيحي فfinal هذه قطعة طيب هي v
+
+653
+00:47:15,760 --> 00:47:19,280
+final انها قانون بقوله اه v final بتساوي q1 final
+
+654
+00:47:19,280 --> 00:47:26,000
+على سيوي واحد و q2 final بتساوي c2 final اذا و هذه
+
+655
+00:47:26,000 --> 00:47:31,120
+q1 final زي ادي q2 final بتساوي q total اللي هي
+
+656
+00:47:31,120 --> 00:47:35,080
+هذهاللي هي هذه اللي قلت عنها اتنين هذه اتنين
+
+657
+00:47:35,080 --> 00:47:38,680
+اتوزعت بين اتنين بحيث ان المجموعة لازم تسوى اتنين
+
+658
+00:47:38,680 --> 00:47:44,740
+فبقولي صار عندك هدول العقتين imply that هذه بتقولي
+
+659
+00:47:44,740 --> 00:47:49,420
+q1 final ع c1 و هذه بتقولي q2 final ع c2 قلو هاي
+
+660
+00:47:49,420 --> 00:47:52,460
+معادلة و هاي معادلة يا شباب و كان مجهول عندك q1
+
+661
+00:47:52,460 --> 00:47:57,770
+final و q2 final هاي مجهولين طلحهم قالي طلحهموها
+
+662
+00:47:57,770 --> 00:48:02,170
+دي capital Q شحتها من الورق اللي جابلها Q1 سوى Q
+
+663
+00:48:02,170 --> 00:48:06,770
+ايه اشتغل؟ from equation 1 and 2 طلعت Q1 final
+
+664
+00:48:06,770 --> 00:48:11,830
+وطلعت Q2 final كل واحد جديش نصيبه نص وواحد ونص ولا
+
+665
+00:48:11,830 --> 00:48:14,490
+عشرين وواحد و تمانية عشر لكن في النهاية لازم
+
+666
+00:48:14,490 --> 00:48:18,270
+المجموع يكون اتنين فهي طلعت Q1 final وQ2 final
+
+667
+00:48:18,270 --> 00:48:24,010
+اجمعهم بتطلع هذه Q اللي هي هذه تمام الان from
+
+668
+00:48:24,010 --> 00:48:24,930
+equation 1
+
+669
+00:48:27,490 --> 00:48:32,410
+from equation 1 we get .. مش equation 1 هذه .. من
+
+670
+00:48:32,410 --> 00:48:37,490
+هذه .. انه VAB بيسوي V1 final بيسوي V2 final و
+
+671
+00:48:37,490 --> 00:48:41,990
+بطلحها V1 final .. هي بال equation 1 في الآخر ..
+
+672
+00:48:41,990 --> 00:48:47,350
+ما هي هذه نفسها .. V .. هذه V1 شباب و هذه V2 و
+
+673
+00:48:47,350 --> 00:48:51,810
+الآن Q1 final و Q2 final اللي عرفوا فبطلّع V1
+
+674
+00:48:51,810 --> 00:48:55,610
+final و V2 final كأقام طلعت بهذه النتيجة
+
+675
+00:48:57,870 --> 00:49:00,190
+في الأول هو كان بده فرق الجهد و طلعت فرق الجهد
+
+676
+00:49:00,190 --> 00:49:06,030
+مافيش مشكلة مازال انا جيبت هادي بقدر اجيب هادي و
+
+677
+00:49:06,030 --> 00:49:09,650
+هادي هي نفسها و equivalent اللي هي AP نفسها ايش
+
+678
+00:49:09,650 --> 00:49:13,670
+المطلب التاني بيقول يجيب لي U قبل ما ساكن المفاتيح
+
+679
+00:49:13,670 --> 00:49:17,870
+و U بعد ما ساكن المفاتيح بيقول before closing the
+
+680
+00:49:17,870 --> 00:49:23,300
+switches المكثفين انشحنواU Initial بيسوي 1 Initial
+
+681
+00:49:23,300 --> 00:49:30,040
+زي ما يحسبون 10 او 18 ديوت ده بيحسبه بما يهدي إلى
+
+682
+00:49:30,040 --> 00:49:35,120
+خطط قدت قوانين و نص في واحد V not تربية طبعا قبل
+
+683
+00:49:35,120 --> 00:49:39,260
+ما أسكر مفاتيح الشباب V تبعتها تبعت البطارية و
+
+684
+00:49:39,260 --> 00:49:42,960
+التاني قبل ما أسكر المفاتيح V تبعتها تبعت البطارية
+
+685
+00:49:42,960 --> 00:49:50,440
+حسبتهم طلعتها هذي U Initialهل بعد ما أسكر مفاتيحي
+
+686
+00:49:50,440 --> 00:49:55,520
+بيظل جهدي المكثف بيساوي جهد البطارية؟ لأ جهد جديد
+
+687
+00:49:55,520 --> 00:49:59,420
+هو أنا لما شبكت بالبطارية أخد جهدي البطارية بذل
+
+688
+00:49:59,420 --> 00:50:02,760
+حاله بيظلوا جهدي البطارية غيروا رابطوا مع بعض
+
+689
+00:50:02,760 --> 00:50:08,180
+تنتقل الشحنات من واحد للتاني حتى الجهود تتغير و
+
+690
+00:50:08,180 --> 00:50:11,900
+تتساوى فالجهود بتتغير بعد كده بيقول after closing
+
+691
+00:50:11,900 --> 00:50:17,910
+the switchesأيش صار U final برضه بتسوي U1 final زي
+
+692
+00:50:17,910 --> 00:50:22,390
+U2 final هنا U1 initial زي U2 initial هنا U1 final
+
+693
+00:50:22,390 --> 00:50:26,950
+زي U2 final وهذه بتسوي منها واحد C1 V final تربية
+
+694
+00:50:26,950 --> 00:50:30,510
+زي نص C2 V final تربية او V final تربية انا طلعتها
+
+695
+00:50:30,510 --> 00:50:34,090
+انا وياكم بتعود و بتطلع النتيجة اللي هي VAB
+
+696
+00:50:34,090 --> 00:50:39,920
+وطلعناها بهذا الشكلالشحنات تتغير ولا تنقل؟ تتغير
+
+697
+00:50:39,920 --> 00:50:42,540
+طبعا، مش هتتقل الشحنات من اللي على جهود إلى اللقاء
+
+698
+00:50:42,540 --> 00:50:45,720
+للجهود، هتتساوي الجهود، احنا واحد كده عشرة، واحدة
+
+699
+00:50:45,720 --> 00:50:48,980
+ناقص تمانية، صار اتنين، هجد في واحد ممكن ياخد
+
+700
+00:50:48,980 --> 00:50:52,880
+تمانية وياخد عشرة، وهم كلهم اتنين، صح ولا؟ في
+
+701
+00:50:52,880 --> 00:50:53,840
+الواحد ده اللي على الأرقام
+
+702
+00:50:57,590 --> 00:51:01,550
+مانشوش اصغار في صواب ال .. ال .. الرموز خينا عشر
+
+703
+00:51:01,550 --> 00:51:05,590
+او تمانية واحد عشر هو هتسلب تمانية في الآخر ده على
+
+704
+00:51:05,590 --> 00:51:07,950
+مثال كلمة مفاتيحي في واحد منهم ممكن ياخد عشر و لا
+
+705
+00:51:07,950 --> 00:51:12,110
+ياخد تمانية لأ في الآخر حده الأقصر يزيد تاني سفر و
+
+706
+00:51:12,110 --> 00:51:16,350
+يكون اتنى لكن مش هتكون سفر هياخد ان شاء الله عشر و
+
+707
+00:51:16,350 --> 00:51:20,390
+يكون تاني واحد قصة عشر اذا ان خلاص هيتغير الشحنات
+
+708
+00:51:20,390 --> 00:51:24,900
+مع أن كانت عشر او كانت تمانيةواحد و نص و نص و واحد
+
+709
+00:51:24,900 --> 00:51:29,160
+و ربع و تتربع و حاجة زي ايه فبتتغير الشحنات
+
+710
+00:51:29,160 --> 00:51:34,400
+لمنتقلة من واحد لواحد طبعا هذه حكاية الكابسيتر
+
+711
+00:51:34,400 --> 00:51:39,440
+الشباب يعني موضوع كثير سهل بس خلينا نرجعه بصورة
+
+712
+00:51:39,440 --> 00:51:44,080
+سريعة ان انا الكابسيتر جهاز وظيفته تخزين الطاقة
+
+713
+00:51:44,080 --> 00:51:50,860
+الكهربائية اهم خاصية شبابه هو سعته سعته هو مصطلح
+
+714
+00:51:50,860 --> 00:51:52,360
+فيزيائي
+
+715
+00:51:55,630 --> 00:52:00,450
+كدّيش صفات هذا الكمبيوتر؟ إيه شغلقة ال V مع ال Q
+
+716
+00:52:00,450 --> 00:52:04,850
+هو اللي بربطها C؟ ال Q مع ال V بينهم علاقة ترضية
+
+717
+00:52:04,850 --> 00:52:08,870
+يا شباب زادت ال Q زادت ال V زادت ال V زادت ال Q
+
+718
+00:52:08,870 --> 00:52:13,590
+ثابت التناسب هو C هذه ال C بالرغم إنها بتربط Q و V
+
+719
+00:52:13,590 --> 00:52:18,470
+تتعفش بيهماللي بتقفر في C هو التركيبة الداخلية تبع
+
+720
+00:52:18,470 --> 00:52:22,770
+الكماسيتر و اللي احنا ركزنا على ي نوت و A و D
+
+721
+00:52:22,770 --> 00:52:28,170
+تتناسب تراضيا مع A عكسيا مع D و فيها بتتناسب ي نوت
+
+722
+00:52:28,170 --> 00:52:33,690
+و اتفقنا ي نوت هذي بتمثل الوسط العازل صح ولا لا؟
+
+723
+00:52:34,140 --> 00:52:40,480
+الكباسيتر ممكن نوصلهم
+
+724
+00:52:40,480 --> 00:52:46,480
+على التوازي اذا وصلناهم على التوازي الشحنات تتساوى
+
+725
+00:52:46,480 --> 00:52:52,220
+و تكون C جليلة اذا وصلناهم على التوازي الجهود
+
+726
+00:52:52,220 --> 00:52:57,260
+تتساوى و C تزيد حسبنا ال energy لما اصلا حكينا ان
+
+727
+00:52:57,260 --> 00:53:01,980
+الكباسيتر is a device to store energy كيف نحسبها
+
+728
+00:53:01,980 --> 00:53:07,750
+حسبناهامش كتير احنا بنجيه منه prove that لكن في
+
+729
+00:53:07,750 --> 00:53:11,270
+النهاية استقطناه من معلومات بسيطة انه عبارة عن شغل
+
+730
+00:53:11,270 --> 00:53:16,430
+حسبنا الشغل وطلعنا U equal half Q تربيه over C
+
+731
+00:53:16,430 --> 00:53:21,890
+الان بدي أغير هالفراغ انا الوسط العازل بدي أغيره
+
+732
+00:53:21,890 --> 00:53:27,550
+وكل المكثفات التجارية الوسط العازل مش فراغفموضوعنا
+
+733
+00:53:27,550 --> 00:53:32,350
+الآن capacitors with dielectric الفراغ أصبح مادة
+
+734
+00:53:32,350 --> 00:53:35,730
+عازلة أخرى dielectric هو الوسط العازل نشوف إيش
+
+735
+00:53:35,730 --> 00:53:39,950
+بيحصل .. بلاستيك .. مش بدلوه فيش اللي بلاستيك ..
+
+736
+00:53:39,950 --> 00:53:44,450
+بلاستيك أحد أنواعها .. بلاستيك ووراج .. مادة
+
+737
+00:53:44,450 --> 00:53:49,550
+كيميائية معينة .. و هو قوى .. أه لكن في الآخر
+
+738
+00:53:49,550 --> 00:53:52,750
+الشغل العملي لم يكن الشيء .. تمام؟ حتة بيعملوا
+
+739
+00:53:52,750 --> 00:53:57,880
+ضعيف في الشغل التجارية .. شغل الصين ..A
+
+740
+00:53:57,880 --> 00:54:00,060
+bioelectric is an insulating material
+
+741
+00:54:04,720 --> 00:54:08,400
+تمام it is found that قالوا هذا الكبسيطر اللي كان
+
+742
+00:54:08,400 --> 00:54:12,600
+ساعة و عشرة مايكروفارات واحد جاب جطعة بلاستيك و
+
+743
+00:54:12,600 --> 00:54:15,780
+حطها في النص و اتغيرت الساعة طبعا الواحد لم يعرف
+
+744
+00:54:15,780 --> 00:54:18,100
+ايش يسوي تجوية اللي انت بتلعب فيه جاعت بتلعب في
+
+745
+00:54:18,100 --> 00:54:21,980
+تركيبته الداخلية منطقي انها Z زيد او تتغير على
+
+746
+00:54:21,980 --> 00:54:24,980
+الأقل تمام ما زال انت لعبش في تركيبة الداخلية
+
+747
+00:54:24,980 --> 00:54:30,270
+تبعته اذا مدرسيه تتغير حط بلاستيكC تغيرت جامعي
+
+748
+00:54:30,270 --> 00:54:35,210
+بلاستيك حاط خشب C طلعت كمية جديدة تمام لان وابسه
+
+749
+00:54:35,210 --> 00:54:38,830
+بيتغير بيقول لي هو بيشتغل في المعمل it is found
+
+750
+00:54:38,830 --> 00:54:43,070
+that when a dielectric material خشب بلاستيك مطاط
+
+751
+00:54:43,070 --> 00:54:44,370
+وورق زجاج
+
+752
+00:54:55,180 --> 00:54:58,760
+الذي يزيد مع الزجاج غير اللي يزيد عن الحشب
+
+753
+00:55:03,750 --> 00:55:07,950
+مادة حطيتها انغابة C الأولانية بفاكتره معين رمزيه
+
+754
+00:55:07,950 --> 00:55:10,710
+بالرمز Kappa الكل صغيرها دي حرف يوناني Kappa
+
+755
+00:55:10,710 --> 00:55:14,730
+بيسموه هو الكل في اللغة اليونانية code the
+
+756
+00:55:14,730 --> 00:55:17,490
+bioelectric constants of the material سموها ثابت
+
+757
+00:55:17,490 --> 00:55:20,830
+ال bioelectric يعني هذا ثابت الزجاج، هذا ثابت
+
+758
+00:55:20,830 --> 00:55:25,700
+الخشب، هذا ثابت البلاستيك، تمام؟That is ايه قالوا؟
+
+759
+00:55:25,700 --> 00:55:29,960
+قالوا C بالساوية كابا في C نوت C شبه بالسعة مع ال
+
+760
+00:55:29,960 --> 00:55:34,820
+dielectric C نوت السعة مع الفراغ نوت دايما بياخد
+
+761
+00:55:34,820 --> 00:55:38,860
+الفراغ بيقول where C and C نوت are the capacitance
+
+762
+00:55:38,860 --> 00:55:43,060
+with and without the dielectric respectively إذا C
+
+763
+00:55:43,060 --> 00:55:49,160
+نوت هي السعة لما يكون ال dielectric فراغC هو السعة
+
+764
+00:55:49,160 --> 00:55:51,380
+لما يكون الداي إلكتريك المادة الداي إلكتريك اللي
+
+765
+00:55:51,380 --> 00:55:55,580
+أنا بدي استخدمها لجوا ان C أكتر من C0 بمعنى أخر
+
+766
+00:55:55,580 --> 00:56:00,860
+لما أزود الداي إلكتريك أغيره السعة بتزيد السعة
+
+767
+00:56:00,860 --> 00:56:03,580
+بتزيد طب هدى ميزة إذا أنا ماعنديش أخليها فراغ
+
+768
+00:56:03,580 --> 00:56:09,730
+بتحطلي أي مادةSince C is always greater than C0,
+
+769
+00:56:09,890 --> 00:56:12,950
+the bioelectric constant K must be greater than
+
+770
+00:56:12,950 --> 00:56:17,950
+unity. هذا ما وجدته.طبعا بعد كده صار في حسابات
+
+771
+00:56:17,950 --> 00:56:22,050
+كتير لكابا وحسبه كابا لكتير مواد.طبعا انتوا من هذا
+
+772
+00:56:22,050 --> 00:56:27,090
+القران شباب، لو هذه حطتها C0، إيش هذي بتصير؟واحد
+
+773
+00:56:27,090 --> 00:56:32,450
+واحد اذا معناته قابل الفرق كم واحد تمام هذه الشيء
+
+774
+00:56:32,450 --> 00:56:35,790
+الطبيعي لما يجيوا حسبوا وقالوا ال material ال
+
+775
+00:56:35,790 --> 00:56:40,030
+vacuum واحد الهواء واحد point عشان كده يقولوا
+
+776
+00:56:40,030 --> 00:56:44,530
+الهواء كم برضه واحد طلع كم قيمته one point او او
+
+777
+00:56:44,530 --> 00:56:51,430
+او سيكس واحد تمام نيجي ال bathing ال بولسترين ال
+
+778
+00:56:51,430 --> 00:56:59,440
+paper الورق ال quarts ال oilلجلاس ال rubber و هذه
+
+779
+00:56:59,440 --> 00:57:04,900
+بورسلية مادة خزاف ال nylon و ال water ال water 80
+
+780
+00:57:07,850 --> 00:57:10,370
+هذه بس من العلم عشان انا جاهز بو جاهز biometric
+
+781
+00:57:10,370 --> 00:57:14,130
+strength حكينا احنا في بداية المكثف بيقولوا كبسيطر
+
+782
+00:57:14,130 --> 00:57:17,350
+بيحطوا بالاضافة الى جديش سعته وجديش الجهد اللى
+
+783
+00:57:17,350 --> 00:57:21,610
+بتحمله صح ولا لا كيف بيعرفوا بقولوا حسب وسط العزل
+
+784
+00:57:21,610 --> 00:57:25,850
+اللى جوا لأنه لو انا قولت اشهد الرقم ماليش دعوة
+
+785
+00:57:25,850 --> 00:57:30,020
+فيه هاطلت جهد اعلى اشهد في وسط العزل؟بتأيّن وبني
+
+786
+00:57:30,020 --> 00:57:34,180
+حنجو بتطلع ريحته صح ولا لأ اذا بيعتمد ال die
+
+787
+00:57:34,180 --> 00:57:37,200
+electric strength شباب من هنا بيجيبوه حسب المادة
+
+788
+00:57:37,200 --> 00:57:41,480
+العازلة اللي موجودة بيحطله جديش بتحمل جهود عشان ما
+
+789
+00:57:41,480 --> 00:57:45,540
+تحطش اكتر من كده فهي كل واحد طبعا تلاتة وعشرة وستة
+
+790
+00:57:45,540 --> 00:57:50,840
+volt على متر هذا اربع وعشرين بحسب كل مادة اللي لها
+
+791
+00:57:50,840 --> 00:57:55,320
+جهود معينة ده مش مهميقولون افهم ايش اللي خلّى
+
+792
+00:57:55,320 --> 00:58:00,060
+الساعة زيد فزيائيا فدايما الأمور المخبرية شباب
+
+793
+00:58:00,060 --> 00:58:04,140
+مخبرية واقع الساعة زادت بصير المشكلة ايش اللي
+
+794
+00:58:04,140 --> 00:58:09,280
+زودها وهي المعضلة ايش اللي زودها فقربوا تشوفوا ايش
+
+795
+00:58:09,280 --> 00:58:12,520
+اللي صار عشان الساعة الزيد وإلا إذا دلت زاد وانا
+
+796
+00:58:12,520 --> 00:58:16,360
+مش فاهم ممكنش أطبق حاجة وممكنش أحل اللغة صباحها
+
+797
+00:58:16,680 --> 00:58:19,580
+بقولي let us now explain what happens when a
+
+798
+00:58:19,580 --> 00:58:22,060
+dielectric material is inserted between the blades
+
+799
+00:58:22,060 --> 00:58:25,220
+of an oscillated capacitor بيجي أشرح أعناه إياكم
+
+800
+00:58:25,220 --> 00:58:27,620
+بيقولي صدبوت that the dielectric is a polar
+
+801
+00:58:27,620 --> 00:58:29,980
+material بيقولي هذه ال dielectric في النهاية مادة
+
+802
+00:58:29,980 --> 00:58:35,020
+ولا مش مادة؟ مادة وانتوا غالبا المواد كيف انتوا
+
+803
+00:58:35,020 --> 00:58:39,430
+بتعرفوا انه تتكون فيها الجولة تتكون من أيوناتصح
+
+804
+00:58:39,430 --> 00:58:42,830
+ولا لأ؟ كل النواة حولها إما أيونات وإذا مش أيونات
+
+805
+00:58:42,830 --> 00:58:45,450
+بتشبهي الأيونات يعني في النهاية بتعامل معاها على
+
+806
+00:58:45,450 --> 00:58:49,450
+إنها dipoles ولا مش dipoles ال أيون إيش هو؟ مش
+
+807
+00:58:49,450 --> 00:58:52,650
+أيون موجب أو أيون سالب؟ وأي إن كانت الشحنة في
+
+808
+00:58:52,650 --> 00:58:55,210
+الآخر حتى لو كانت ذرّة بيقول ما هو .. إيش فيه في
+
+809
+00:58:55,210 --> 00:59:02,810
+النواة؟ وإيش فيه هنا؟ واحنا بطبيعة الأحوال المادة
+
+810
+00:59:02,810 --> 00:59:06,210
+متعادلة ومش متعادلة هادي وهاديون بتساوي بعض ولا
+
+811
+00:59:06,210 --> 00:59:12,110
+لا؟ تصير عندك زي إيش؟أكيو والسالد اكيو ذاكرين هذا
+
+812
+00:59:12,110 --> 00:59:16,370
+المثال أول شبطة وسمته electric dipole سمته ال
+
+813
+00:59:16,370 --> 00:59:19,210
+dipole اذا بيقول المادة بكل الأحوال هي عبارة عن
+
+814
+00:59:19,210 --> 00:59:23,050
+عدة dipoles جواها dipoles اثناء قطبي سميناها
+
+815
+00:59:23,050 --> 00:59:27,210
+electric dipoles جالي طيب خلينا نشوف هاي ال dipole
+
+816
+00:59:27,210 --> 00:59:32,810
+كل مادة مكوّلة من ميادها دولكل مادة مكوّنة من مياد
+
+817
+00:59:32,810 --> 00:59:36,630
+زي هدول و هدول بيسبحوا كل واحد حر كل واحد بيروح
+
+818
+00:59:36,630 --> 00:59:39,010
+على الطريق اللي بدهوا إياها ما حد جاله وين انت
+
+819
+00:59:39,010 --> 00:59:42,670
+بيقولي صبّذ ذات the dielectric is a polar material
+
+820
+00:59:42,670 --> 00:59:45,890
+مادة مصنوعة من ال بولارا .. Polars has a permanent
+
+821
+00:59:45,890 --> 00:59:49,810
+electric dipole بيقوللي لأن ها دي اللي بده ادخلها
+
+822
+00:59:49,810 --> 00:59:52,630
+دي هو ال capacitor ال capacitor مشحون شباب ولا مش
+
+823
+00:59:52,630 --> 00:59:57,310
+مشحون؟ تعتبره مشحون، تمام؟يعني جوا في مجال كهربائي
+
+824
+00:59:57,310 --> 01:00:00,970
+ولا مافيش مجال كهربائي؟ في مجال كهربائي جالي the
+
+825
+01:00:00,970 --> 01:00:03,930
+electric field of the capacitor بدر مصدره بالرمز E
+
+826
+01:00:03,930 --> 01:00:09,770
+node هذا لما يكون موجود هذا هو ايه صار؟ جالي صار
+
+827
+01:00:09,770 --> 01:00:16,520
+فيه قوة هيك و قوة هيكليوش القوة مرة مع المجال و
+
+828
+01:00:16,520 --> 01:00:21,160
+مرة ضد المجال؟ عشان حسب الشيوحنة بقى صار في عزيم
+
+829
+01:00:21,160 --> 01:00:25,460
+ولا ماصارش عزيم؟ لف الضيبول هذا الأزاج والأحمر
+
+830
+01:00:25,460 --> 01:00:31,150
+بيلف صار في عندك عزيم صح ولا لأ؟ بيقولنيالطرق
+
+831
+01:00:31,150 --> 01:00:39,270
+الهيئي للقوات الـ E0 تعمل طرق على بيبول المجلد لكي
+
+832
+01:00:39,270 --> 01:00:44,510
+يقوم بإعادة هذه البيبول إلى اتجاه E لفه هذه هيك
+
+833
+01:00:44,510 --> 01:00:47,890
+وهذه هيك هي F positive وهي F negative
+
+834
+01:00:58,650 --> 01:01:02,710
+هيجيت صوبه هيك، بعد كده بيلفه، في ضايبول هال gate؟
+
+835
+01:01:02,710 --> 01:01:05,770
+لأ، مع أن في forces، مافيش ضايبول، فبقيت رواية
+
+836
+01:01:05,770 --> 01:01:10,850
+كلها، اتجسساش، صويت انت محور
+
+837
+01:01:10,850 --> 01:01:15,410
+الدوران حوالي النص، لف، محور الدوران حوالي النقطة
+
+838
+01:01:15,410 --> 01:01:19,450
+هالي، هيجيت انت هي عندك هي، واحد شده من هنا، واحد
+
+839
+01:01:19,450 --> 01:01:24,150
+شده من هنا، هيعمل هيكبظبط ولا لأ؟ حاجات هي وها
+
+840
+01:01:24,150 --> 01:01:27,570
+واحد بيشده هيك و واحد بيشده هيك بيشده هنا من هنا و
+
+841
+01:01:27,570 --> 01:01:31,130
+من هنا، بدي لف ولا ماشي لف؟ بلف، هيروح ال girl يشد
+
+842
+01:01:31,130 --> 01:01:34,110
+مهالة بكرا و هذا يشد مهالة بكرا، بدي لف؟ لأنه
+
+843
+01:01:34,110 --> 01:01:37,470
+مافيش عزم، القوة صارت مع نفس محوال الدوران تمام،
+
+844
+01:01:37,470 --> 01:01:42,510
+جفر هيك، الآن بيقول لي win all the ballsaligned
+
+845
+01:01:42,510 --> 01:01:45,410
+with the field صاروا بنفس ال field بيسميها aligned
+
+846
+01:01:45,410 --> 01:01:49,590
+يعني صار خطها مع خط ال field مع نفس الخط we said
+
+847
+01:01:49,590 --> 01:01:52,530
+that the material is polarized في مصطلح بيقولوا
+
+848
+01:01:52,530 --> 01:01:57,630
+المادة استقطبت استقطبت كيف يعني انه اتصفت اتصفتت
+
+849
+01:01:57,630 --> 01:02:01,290
+بيسميها polarized عندما شوفها بيقول هيك المادة
+
+850
+01:02:01,290 --> 01:02:05,650
+أصلها هيها شايف كل واحد وين سابح لحاله هيك أصل
+
+851
+01:02:05,650 --> 01:02:09,110
+المادة حاجات بده أحطها في مجال كلهم بدهم اتصفطوا
+
+852
+01:02:09,110 --> 01:02:13,050
+كلهم بدهم لفوا و اتصفطوابنشوف ايش بيصير معايا
+
+853
+01:02:13,050 --> 01:02:16,070
+بيقولوا هاي الكفاسة الترهجة اللي كان فيها وفرار
+
+854
+01:02:16,070 --> 01:02:24,510
+احمل هذه اللي كانت برا وعشوائية وحطها هنا هيك
+
+855
+01:02:24,510 --> 01:02:31,600
+صارالصفطة aligned بسميها قراعات ليش؟ بقول لأن هذا
+
+856
+01:02:31,600 --> 01:02:37,040
+الطرف كله سالب وهذا الطرف كله موجنب صح ولا لأ؟ ايش
+
+857
+01:02:37,040 --> 01:02:41,380
+اللي صفطها؟ المجال الجوه المجال الجوه صفطها طيب جل
+
+858
+01:02:41,380 --> 01:02:44,240
+يخلينا واحدة واحدة هادي و هادي بيرغوا بعض ولا
+
+859
+01:02:44,240 --> 01:02:48,030
+بيرغوش بعض طب و هادي و هادي ايه؟هدى فى جنب حاجة
+
+860
+01:02:48,030 --> 01:02:51,730
+تغيها؟ لأ طب و هدى فى حاجة جنب حاجة تغيها؟ بصير و
+
+861
+01:02:51,730 --> 01:02:55,850
+كانها جطع هدى شباب صاروا مصطفطين شحنات موجبة و
+
+862
+01:02:55,850 --> 01:02:59,310
+مصطفطين شحنات سهلة بقدر أقول الآن صار فى مجال
+
+863
+01:02:59,310 --> 01:03:04,830
+كهربائي جوا جدصار في مجال كهبائي جديد as a result
+
+864
+01:03:04,830 --> 01:03:09,290
+of this polarization تصفيتها دى polarization it
+
+865
+01:03:09,290 --> 01:03:13,590
+charges هدول are produces at the faces of the
+
+866
+01:03:13,590 --> 01:03:17,150
+dielectric with the positive it charges are near
+
+867
+01:03:17,150 --> 01:03:20,030
+the negative ال positive near the negative و ال
+
+868
+01:03:20,030 --> 01:03:25,130
+negative near the positive تمام the charge inside
+
+869
+01:03:25,130 --> 01:03:27,830
+the dielectric cancel each other و بيقول ال charge
+
+870
+01:03:27,830 --> 01:03:32,460
+في جوا هدول بلغوا بعضبلغه بعد ايش صار عندي؟
+
+871
+01:03:32,460 --> 01:03:37,180
+بيقوللي هيك صار وكعينه اللي جوا لقه وخلاص لقه بعد
+
+872
+01:03:37,180 --> 01:03:43,140
+تمام قاللي حلو الخط الأخضر هذا المجال الكهربائي
+
+873
+01:03:43,140 --> 01:03:46,960
+قبل ما أحط ال material صح بعد ما حطيت ال material
+
+874
+01:03:46,960 --> 01:03:51,640
+صار في عندي مجال منموجة بالاساس مجال تاني اتجه
+
+875
+01:03:51,640 --> 01:03:56,360
+جديد هذا المجال الجديد جوا المادة ال total
+
+876
+01:03:56,360 --> 01:04:01,460
+electric field أجمع ولا أطرح؟مع بعض ولا عكس بعض؟
+
+877
+01:04:01,460 --> 01:04:05,500
+شوف الأصمر و الأخضر شوف الأصمر و الأخضر هدول مع
+
+878
+01:04:05,500 --> 01:04:09,580
+بعض ولا عكس بعض؟ المجال الكل الآن بديه خس ولا بديه
+
+879
+01:04:09,580 --> 01:04:17,140
+زيد؟ بديه ينجس المجال هينجس ما زال نزل المجال أدنى
+
+880
+01:04:17,140 --> 01:04:22,000
+هتشوف السعة هتزيد السعة هتزيد إذا هاي اللي زوج
+
+881
+01:04:22,000 --> 01:04:28,120
+السعة انه تولد جوا المادة اللي حطتها مجال هذا
+
+882
+01:04:28,120 --> 01:04:34,650
+المجالمدّس المجال الكلي، these charges create an
+
+883
+01:04:34,650 --> 01:04:39,850
+electric field سميته E شرطة، اللي هو الأصمر،
+
+884
+01:04:39,850 --> 01:04:44,450
+opposite to E0 وكان عكس E0، فبيقول ليه، the net
+
+885
+01:04:44,450 --> 01:04:48,390
+electric field inside the conductor is therefore
+
+886
+01:04:49,380 --> 01:04:55,380
+صار بيساوي E not نقص E prime طلعت انه معكس بعيد
+
+887
+01:04:55,380 --> 01:04:59,540
+That is a reduction is occurred in the electric
+
+888
+01:04:59,540 --> 01:05:03,240
+field صار في عندي نقص في المجال القهوة باعي بس انا
+
+889
+01:05:03,240 --> 01:05:06,940
+عندي قانون بيقول V بتساوي E في D شباب V بتساوي E
+
+890
+01:05:06,940 --> 01:05:13,700
+في D D ثبتت E خست اذا هدي V مكسرصح ولا لأ؟ the
+
+891
+01:05:13,700 --> 01:05:15,620
+potential difference across the capacitor
+
+892
+01:05:15,620 --> 01:05:21,580
+decreases consequently بيقول اللي فيه عندك بنجس
+
+893
+01:05:21,580 --> 01:05:28,340
+بهذا الحالة وإذا V بتسوى V not على K برضه نجس برضه
+
+894
+01:05:28,340 --> 01:05:33,240
+نجس لكن C بيسوى Q على V C بيسوى Q على V هذي نجست،
+
+895
+01:05:33,240 --> 01:05:39,240
+إيش فعلا دي؟ هذي ليش زادت؟تمام؟ بيقول الـC بيسوي
+
+896
+01:05:39,240 --> 01:05:42,880
+الـQ على الـV وبنتيجة ال material عطّقتها هذه
+
+897
+01:05:42,880 --> 01:05:47,560
+نقصة، إذاً هذه زادة وعاد زيد بنفس الثابت and the Q
+
+898
+01:05:47,560 --> 01:05:51,220
+is constant، بقول الـQ ما اتغيرتش، انت شحمت المكثف
+
+899
+01:05:51,220 --> 01:05:55,300
+و رميت البطارية، وقعدت بتلعب في المكثف، بتزوج أو
+
+900
+01:05:55,300 --> 01:05:58,360
+بتغير، قعدت في الوسط العازل، الـQ مش بتوصف فيها زي
+
+901
+01:05:58,360 --> 01:06:06,940
+ما هي، أحكيبصبوط وقتش بتغير CEO لما بدي ألعب في
+
+902
+01:06:06,940 --> 01:06:09,660
+تركيبة المكافئة ماعش بصور جاهز، مانا فاطح من
+
+903
+01:06:09,660 --> 01:06:12,220
+يوتيوب ومانا بلعب فيه وماخد معاك أيه اللي هو وقته،
+
+904
+01:06:12,220 --> 01:06:16,580
+مانا بغير الوصف العادل جاهز، تمام؟الـ Q is
+
+905
+01:06:16,580 --> 01:06:21,480
+constant زي معناته C بتساوي Q على V0 بتساوي C0
+
+906
+01:06:21,480 --> 01:06:28,120
+وهذا بإثبات على انه C قاعد إثبات للمشاهدة
+
+907
+01:06:28,120 --> 01:06:32,040
+العملية لصوتها يعني في الأول هما كان عندهم مشاهدة
+
+908
+01:06:32,040 --> 01:06:37,160
+غير الوضع العازل في خشهة بقى الساعة بتزيد حط بلاسك
+
+909
+01:06:37,160 --> 01:06:41,340
+الساعة اتغيرت حط ورق الساعة اتغيرتهذا المفهوم في
+
+910
+01:06:41,340 --> 01:06:45,380
+الأول كان حقيقة خلاص جسد و واقع مافيش فيه مشكلة
+
+911
+01:06:45,380 --> 01:06:49,380
+صار بدنا نفسر أيش اللي صار فلما فسروا قالوا ان
+
+912
+01:06:49,380 --> 01:06:54,420
+المجال أصلا اتغير و لما اتغير المجال اتغير الجهود
+
+913
+01:06:54,420 --> 01:06:58,800
+و نتيجة تغير الجهود اتغيرت السعة لأنه أنا قاعد
+
+914
+01:06:58,800 --> 01:07:01,980
+بلعب في السعة في هذه الحالة
+
+915
+01:07:05,870 --> 01:07:08,550
+بقول اللي حكيته انا بس اخر حاجة بقول it should be
+
+916
+01:07:08,550 --> 01:07:10,510
+noted that a limited value of the potential
+
+917
+01:07:10,510 --> 01:07:13,110
+difference can be applied across a capacitor بقول
+
+918
+01:07:13,110 --> 01:07:16,330
+كل capacitor بيقول لك جدش الجهد اللي اقصى اللي
+
+919
+01:07:16,330 --> 01:07:20,830
+ممكن تدخله عليه if the potential exceeds this
+
+920
+01:07:20,830 --> 01:07:24,050
+value اذا انت قلت مديش هالكتابة و مش فاهم هالكتابة
+
+921
+01:07:24,050 --> 01:07:27,090
+كتب لك عشرة volt و حطته في ال breeze اللي هو 220
+
+922
+01:07:27,090 --> 01:07:31,210
+volt ايش بيصير؟ the insulating properties of the
+
+923
+01:07:31,210 --> 01:07:35,560
+bioelectric will break down بتطلع الريحةبتطلع
+
+924
+01:07:35,560 --> 01:07:39,740
+الريحة لأنه الوسط العازل اتأيان و التأيون هو اللي
+
+925
+01:07:39,740 --> 01:07:42,640
+بطلع الريحة لأن التأيون بيصير تفاعل كيميائي الشباب
+
+926
+01:07:42,640 --> 01:07:46,380
+.. بيصير في .. احنا نقول بالعامية انحرج .. و هو
+
+927
+01:07:46,380 --> 01:07:49,280
+بالعامية مصالح حلو .. انحرج يعني خرب يعني .. بحيث
+
+928
+01:07:49,280 --> 01:07:51,920
+المعنات .. ارميه .. لإن انحرجه بنرميه .. هو مصالح
+
+929
+01:07:51,920 --> 01:07:56,660
+عامية يعنيbreakdown and form a conducting medium
+
+930
+01:07:56,660 --> 01:08:01,120
+صار conducting medium وهي معناه الكبسطار خلف this
+
+931
+01:08:01,120 --> 01:08:02,960
+limiting value called the breakdown potential
+
+932
+01:08:02,960 --> 01:08:06,180
+depends on the dielectric strength الكتبتها which
+
+933
+01:08:06,180 --> 01:08:08,220
+is the maximum value of the electric field that
+
+934
+01:08:08,220 --> 01:08:12,120
+the dielectric can tolerate without breakdown هذه
+
+935
+01:08:12,120 --> 01:08:16,220
+مجدرد شهلة تانية هكذا نكون انهينا هذه المحاضرة
+
+936
+01:08:16,220 --> 01:08:19,520
+ومستنى نفهم ان شاء الله يوم الأحد الجاد
+
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5caafd1a0c078f153a7af4f53c592c099fdbd694
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/qhDM-SKJpN8_raw.json
@@ -0,0 +1 @@
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3233.55, "word": " الشغل", "probability": 0.9674479166666666}, {"start": 3233.55, "end": 3234.03, "word": " التجارية", "probability": 0.941650390625}, {"start": 3234.03, "end": 3234.31, "word": " ..", "probability": 0.560546875}, {"start": 3234.31, "end": 3234.57, "word": " شغل", "probability": 0.87255859375}, {"start": 3234.57, "end": 3234.83, "word": " الصين", "probability": 0.82080078125}, {"start": 3234.83, "end": 3234.93, "word": " ..", "probability": 0.513671875}], "temperature": 1.0}, {"id": 134, "seek": 324006, "start": 3236.84, "end": 3240.06, "text": "A bioelectric is an insulating material", "tokens": [32, 12198, 33243, 307, 364, 1028, 12162, 2527], "avg_logprob": -0.4991319444444444, "compression_ratio": 0.8297872340425532, "no_speech_prob": 0.0, "words": [{"start": 3236.84, "end": 3237.88, "word": "A", "probability": 0.1417236328125}, {"start": 3237.88, "end": 3238.5, "word": " bioelectric", "probability": 0.7041015625}, {"start": 3238.5, "end": 3238.8, "word": " is", "probability": 0.89892578125}, {"start": 3238.8, "end": 3239.02, "word": " an", "probability": 0.5078125}, {"start": 3239.02, "end": 3239.5, "word": " insulating", "probability": 0.96923828125}, {"start": 3239.5, "end": 3240.06, "word": " material", "probability": 0.86669921875}], "temperature": 1.0}, {"id": 135, "seek": 326832, "start": 3244.72, "end": 3268.32, "text": "تمام it is found that قالوا هذا الكبسيطر اللي كان ساعة و عشرة مايكروفارات واحد جاب جطعة بلاستيك و حطها في النص و اتغيرت الساعة طبعا الواحد لم يعرف ايش يسوي تجوية اللي انت بتلعب فيه جاعت بتلعب في تركيبته الداخلية منطقي انها Z زيد او تتغير على الأقل تمام ما زال انت لعبش في تركيبة الداخلية تبعته اذا مدرسيه تتغير حط بلاستيك", "tokens": [39237, 10943, 309, 307, 1352, 300, 50239, 14407, 23758, 33251, 3555, 3794, 1829, 9566, 2288, 13672, 1829, 25961, 8608, 995, 27884, 4032, 6225, 8592, 25720, 19446, 1829, 4117, 32887, 5172, 9640, 9307, 36764, 24401, 10874, 16758, 10874, 9566, 27884, 4724, 15040, 14851, 1829, 4117, 4032, 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"word": " جاعت", "probability": 0.6006673177083334}, {"start": 3257.48, "end": 3258.0, "word": " بتلعب", "probability": 0.89501953125}, {"start": 3258.0, "end": 3258.1, "word": " في", "probability": 0.880859375}, {"start": 3258.1, "end": 3258.5, "word": " تركيبته", "probability": 0.88671875}, {"start": 3258.5, "end": 3259.1, "word": " الداخلية", "probability": 0.9886474609375}, {"start": 3259.1, "end": 3259.9, "word": " منطقي", "probability": 0.67608642578125}, {"start": 3259.9, "end": 3260.18, "word": " انها", "probability": 0.4610595703125}, {"start": 3260.18, "end": 3260.28, "word": " Z", "probability": 0.19970703125}, {"start": 3260.28, "end": 3260.74, "word": " زيد", "probability": 0.7822265625}, {"start": 3260.74, "end": 3261.38, "word": " او", "probability": 0.5928955078125}, {"start": 3261.38, "end": 3261.86, "word": " تتغير", "probability": 0.83935546875}, {"start": 3261.86, "end": 3261.98, "word": " على", "probability": 0.9580078125}, {"start": 3261.98, "end": 3262.74, "word": " الأقل", "probability": 0.84619140625}, {"start": 3262.74, "end": 3263.2, "word": " تمام", "probability": 0.8388671875}, {"start": 3263.2, "end": 3263.56, "word": " ما", "probability": 0.455322265625}, {"start": 3263.56, "end": 3263.72, "word": " زال", "probability": 0.938232421875}, {"start": 3263.72, "end": 3263.84, "word": " انت", "probability": 0.835205078125}, {"start": 3263.84, "end": 3264.18, "word": " لعبش", "probability": 0.8037109375}, {"start": 3264.18, "end": 3264.26, "word": " في", "probability": 0.94580078125}, {"start": 3264.26, "end": 3264.62, "word": " تركيبة", "probability": 0.900146484375}, {"start": 3264.62, "end": 3264.98, "word": " الداخلية", "probability": 0.900146484375}, {"start": 3264.98, "end": 3265.52, "word": " تبعته", "probability": 0.794189453125}, {"start": 3265.52, "end": 3265.96, "word": " اذا", "probability": 0.743896484375}, {"start": 3265.96, "end": 3266.46, "word": " مدرسيه", "probability": 0.67449951171875}, {"start": 3266.46, "end": 3266.94, "word": " تتغير", "probability": 0.975341796875}, {"start": 3266.94, "end": 3267.6, "word": " حط", "probability": 0.927001953125}, {"start": 3267.6, "end": 3268.32, "word": " بلاستيك", "probability": 0.91279296875}], "temperature": 1.0}, {"id": 136, "seek": 328437, "start": 3268.91, "end": 3284.37, "text": "C تغيرت جامعي بلاستيك حاط خشب C طلعت كمية جديدة تمام لان وابسه بيتغير بيقول لي هو بيشتغل في المعمل it is found that when a dielectric material خشب بلاستيك مطاط وورق زجاج", "tokens": [34, 6055, 17082, 13546, 2655, 10874, 10943, 3615, 1829, 4724, 15040, 14851, 1829, 4117, 11331, 41193, 16490, 8592, 3555, 383, 23032, 1211, 34268, 9122, 2304, 10632, 10874, 16254, 41891, 46811, 10943, 5296, 7649, 4032, 16758, 3794, 3224, 4724, 36081, 17082, 13546, 4724, 1829, 39648, 32239, 31439, 4724, 1829, 8592, 2655, 17082, 1211, 8978, 9673, 25957, 1211, 309, 307, 1352, 300, 562, 257, 978, 38421, 2527, 16490, 8592, 3555, 4724, 15040, 14851, 1829, 4117, 3714, 9566, 41193, 4032, 13063, 4587, 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{"start": 3273.21, "end": 3274.29, "word": " تمام", "probability": 0.676513671875}, {"start": 3274.29, "end": 3274.87, "word": " لان", "probability": 0.541259765625}, {"start": 3274.87, "end": 3275.21, "word": " وابسه", "probability": 0.7921142578125}, {"start": 3275.21, "end": 3275.79, "word": " بيتغير", "probability": 0.88037109375}, {"start": 3275.79, "end": 3276.47, "word": " بيقول", "probability": 0.6802571614583334}, {"start": 3276.47, "end": 3276.61, "word": " لي", "probability": 0.334228515625}, {"start": 3276.61, "end": 3276.87, "word": " هو", "probability": 0.56298828125}, {"start": 3276.87, "end": 3277.31, "word": " بيشتغل", "probability": 0.8736165364583334}, {"start": 3277.31, "end": 3277.43, "word": " في", "probability": 0.87548828125}, {"start": 3277.43, "end": 3277.93, "word": " المعمل", "probability": 0.9768880208333334}, {"start": 3277.93, "end": 3278.31, "word": " it", "probability": 0.7705078125}, {"start": 3278.31, "end": 3278.53, "word": " is", "probability": 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"start": 3295.18, "end": 3298.76, "text": "الذي يزيد مع الزجاج غير اللي يزيد عن الحشب", "tokens": [6027, 8848, 1829, 7251, 11622, 25708, 20449, 6024, 110, 7435, 26108, 32771, 13546, 13672, 1829, 7251, 11622, 25708, 18871, 21542, 8592, 3555], "avg_logprob": -0.4656929218250772, "compression_ratio": 1.1692307692307693, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 3295.1800000000003, "end": 3295.86, "word": "الذي", "probability": 0.3349609375}, {"start": 3295.86, "end": 3296.54, "word": " يزيد", "probability": 0.6787109375}, {"start": 3296.54, "end": 3296.76, "word": " مع", "probability": 0.57763671875}, {"start": 3296.76, "end": 3297.38, "word": " الزجاج", "probability": 0.8731689453125}, {"start": 3297.38, "end": 3297.6, "word": " غير", "probability": 0.90087890625}, {"start": 3297.6, "end": 3297.7, "word": " اللي", "probability": 0.7353515625}, {"start": 3297.7, "end": 3298.04, "word": " يزيد", "probability": 0.90673828125}, {"start": 3298.04, "end": 3298.24, "word": " عن", "probability": 0.58447265625}, {"start": 3298.24, "end": 3298.76, "word": " الحشب", "probability": 0.6728515625}], "temperature": 1.0}, {"id": 138, "seek": 332315, "start": 3303.75, "end": 3323.15, "text": "مادة حطيتها انغابة C الأولانية بفاكتره معين رمزيه بالرمز Kappa الكل صغيرها دي حرف يوناني Kappa بيسموه هو الكل في اللغة اليونانية code the bioelectric constants of the material سموها ثابت ال bioelectric يعني هذا ثابت الزجاج، هذا ثابت الخشب، هذا ثابت البلاستيك، تمام؟", "tokens": [2304, 18513, 3660, 11331, 9566, 36081, 11296, 16472, 17082, 16758, 3660, 383, 16247, 12610, 7649, 10632, 4724, 5172, 995, 4117, 2655, 2288, 3224, 20449, 9957, 12602, 2304, 11622, 1829, 3224, 20666, 2288, 2304, 11622, 591, 25637, 2423, 28820, 20328, 17082, 13546, 11296, 11778, 1829, 11331, 28480, 7251, 11536, 7649, 1829, 591, 25637, 4724, 1829, 38251, 2407, 3224, 31439, 2423, 28820, 8978, 13672, 17082, 3660, 45595, 11536, 7649, 10632, 3089, 264, 12198, 33243, 35870, 295, 264, 2527, 8608, 2304, 2407, 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4066.78, "word": " بالعامية", "probability": 0.9482421875}, {"start": 4066.78, "end": 4067.66, "word": " مصالح", "probability": 0.8270263671875}, {"start": 4067.66, "end": 4067.96, "word": " حلو", "probability": 0.9832356770833334}, {"start": 4067.96, "end": 4068.18, "word": " ..", "probability": 0.705078125}, {"start": 4068.18, "end": 4068.44, "word": " انحرج", "probability": 0.94482421875}, {"start": 4068.44, "end": 4068.56, "word": " يعني", "probability": 0.970703125}, {"start": 4068.56, "end": 4068.88, "word": " خرب", "probability": 0.79931640625}, {"start": 4068.88, "end": 4069.06, "word": " يعني", "probability": 0.850341796875}, {"start": 4069.06, "end": 4069.14, "word": " ..", "probability": 0.237548828125}, {"start": 4069.14, "end": 4069.28, "word": " بحيث", "probability": 0.5513916015625}, {"start": 4069.28, "end": 4069.64, "word": " المعنات", "probability": 0.66827392578125}, {"start": 4069.64, "end": 4069.88, "word": " ..", "probability": 0.8310546875}, {"start": 4069.88, "end": 4070.38, "word": " ارميه", "probability": 0.90439453125}, {"start": 4070.38, "end": 4070.6, "word": " ..", "probability": 0.7138671875}, {"start": 4070.6, "end": 4070.8, "word": " لإن", "probability": 0.71435546875}, {"start": 4070.8, "end": 4071.16, "word": " انحرجه", "probability": 0.76495361328125}, {"start": 4071.16, "end": 4071.5, "word": " بنرميه", "probability": 0.8654296875}, {"start": 4071.5, "end": 4071.52, "word": " ..", "probability": 0.7646484375}, {"start": 4071.52, "end": 4071.62, "word": " هو", "probability": 0.525390625}, {"start": 4071.62, "end": 4071.92, "word": " مصالح", "probability": 0.9852294921875}, {"start": 4071.92, "end": 4072.2, "word": " عامية", "probability": 0.95556640625}, {"start": 4072.2, "end": 4072.36, "word": " يعني", "probability": 0.840087890625}], "temperature": 1.0}, {"id": 172, "seek": 409952, "start": 4072.64, "end": 4099.52, "text": "breakdown and form a conducting medium صار conducting medium وهي معناه الكبسطار خلف this limiting value called the breakdown potential depends on the dielectric strength الكتبتها which is the maximum value of the electric field that the dielectric can tolerate without breakdown هذه مجدرد شهلة تانية هكذا نكون انهينا هذه المحاضرة ومستنى نفهم ان شاء الله يوم الأحد الجاد", "tokens": [13225, 5093, 293, 1254, 257, 21749, 6399, 20328, 9640, 21749, 6399, 37037, 1829, 20449, 8315, 3224, 33251, 3555, 3794, 9566, 9640, 16490, 46538, 341, 22083, 2158, 1219, 264, 18188, 3995, 5946, 322, 264, 978, 38421, 3800, 33251, 2655, 3555, 2655, 11296, 597, 307, 264, 6674, 2158, 295, 264, 5210, 2519, 300, 264, 978, 38421, 393, 25773, 1553, 18188, 29538, 3714, 7435, 3215, 2288, 3215, 13412, 3224, 37977, 6055, 7649, 10632, 8032, 4117, 15730, 8717, 30544, 16472, 3224, 1829, 8315, 29538, 9673, 5016, 46958, 25720, 4032, 2304, 14851, 1863, 7578, 8717, 5172, 16095, 16472, 13412, 16606, 21984, 7251, 20498, 16247, 24401, 25724, 18513], "avg_logprob": -0.3273664973314526, "compression_ratio": 1.61986301369863, "no_speech_prob": 0.0, "words": [{"start": 4072.64, "end": 4073.9, "word": "breakdown", "probability": 0.347412109375}, {"start": 4073.9, "end": 4074.46, "word": " and", "probability": 0.30419921875}, {"start": 4074.46, "end": 4075.28, "word": " form", "probability": 0.751953125}, {"start": 4075.28, "end": 4075.52, "word": " a", "probability": 0.96826171875}, {"start": 4075.52, "end": 4076.0, "word": " conducting", "probability": 0.81005859375}, {"start": 4076.0, "end": 4076.66, "word": " medium", "probability": 0.9326171875}, {"start": 4076.66, "end": 4077.38, "word": " صار", "probability": 0.77978515625}, {"start": 4077.38, "end": 4078.0, "word": " conducting", "probability": 0.5654296875}, {"start": 4078.0, "end": 4078.58, "word": " medium", "probability": 0.94384765625}, {"start": 4078.58, "end": 4079.06, "word": " وهي", "probability": 0.67431640625}, {"start": 4079.06, "end": 4079.38, "word": " معناه", "probability": 0.8567708333333334}, {"start": 4079.38, "end": 4080.08, "word": " الكبسطار", "probability": 0.57685546875}, {"start": 4080.08, "end": 4080.68, "word": " خلف", "probability": 0.64404296875}, {"start": 4080.68, "end": 4081.12, "word": " this", "probability": 0.1954345703125}, {"start": 4081.12, "end": 4081.46, "word": " limiting", "probability": 0.853515625}, {"start": 4081.46, "end": 4081.78, "word": " value", "probability": 0.900390625}, {"start": 4081.78, "end": 4082.0, "word": " called", "probability": 0.75146484375}, {"start": 4082.0, "end": 4082.16, "word": " the", "probability": 0.481689453125}, {"start": 4082.16, "end": 4082.42, "word": " breakdown", "probability": 0.80322265625}, {"start": 4082.42, "end": 4082.96, "word": " potential", "probability": 0.92822265625}, {"start": 4082.96, "end": 4083.66, "word": " depends", "probability": 0.91015625}, {"start": 4083.66, "end": 4083.88, "word": " on", "probability": 0.94921875}, {"start": 4083.88, "end": 4084.0, "word": " the", "probability": 0.8759765625}, {"start": 4084.0, "end": 4084.34, "word": " dielectric", "probability": 0.89599609375}, {"start": 4084.34, "end": 4084.9, "word": " strength", "probability": 0.94580078125}, {"start": 4084.9, "end": 4085.8, "word": " الكتبتها", "probability": 0.89453125}, {"start": 4085.8, "end": 4086.18, "word": " which", "probability": 0.9404296875}, {"start": 4086.18, "end": 4086.36, "word": " is", "probability": 0.95947265625}, {"start": 4086.36, "end": 4086.48, "word": " the", "probability": 0.849609375}, {"start": 4086.48, "end": 4086.78, "word": " maximum", "probability": 0.92578125}, {"start": 4086.78, "end": 4087.2, "word": " value", "probability": 0.9833984375}, {"start": 4087.2, "end": 4087.36, "word": " of", "probability": 0.947265625}, {"start": 4087.36, "end": 4087.44, "word": " the", "probability": 0.81982421875}, {"start": 4087.44, "end": 4087.7, "word": " electric", "probability": 0.8857421875}, {"start": 4087.7, "end": 4087.98, "word": " field", "probability": 0.9375}, {"start": 4087.98, "end": 4088.22, "word": " that", "probability": 0.92236328125}, {"start": 4088.22, "end": 4088.48, "word": " the", "probability": 0.83251953125}, {"start": 4088.48, "end": 4088.88, "word": " dielectric", "probability": 0.916259765625}, {"start": 4088.88, "end": 4089.16, "word": " can", "probability": 0.92578125}, {"start": 4089.16, "end": 4089.68, "word": " tolerate", "probability": 0.93408203125}, {"start": 4089.68, "end": 4090.64, "word": " without", "probability": 0.9140625}, {"start": 4090.64, "end": 4091.56, "word": " breakdown", "probability": 0.57666015625}, {"start": 4091.56, "end": 4092.12, "word": " هذه", "probability": 0.271240234375}, {"start": 4092.12, "end": 4092.7, "word": " مجدرد", "probability": 0.680517578125}, {"start": 4092.7, "end": 4093.46, "word": " شهلة", "probability": 0.8909505208333334}, {"start": 4093.46, "end": 4094.3, "word": " تانية", "probability": 0.8855794270833334}, {"start": 4094.3, "end": 4094.74, "word": " هكذا", "probability": 0.6307373046875}, {"start": 4094.74, "end": 4094.96, "word": " نكون", "probability": 0.6558837890625}, {"start": 4094.96, "end": 4095.34, "word": " انهينا", "probability": 0.64337158203125}, {"start": 4095.34, "end": 4095.58, "word": " هذه", "probability": 0.86279296875}, {"start": 4095.58, "end": 4096.22, "word": " المحاضرة", "probability": 0.985107421875}, {"start": 4096.22, "end": 4097.14, "word": " ومستنى", "probability": 0.478857421875}, {"start": 4097.14, "end": 4097.38, "word": " نفهم", "probability": 0.77587890625}, {"start": 4097.38, "end": 4097.52, "word": " ان", "probability": 0.56884765625}, {"start": 4097.52, "end": 4097.68, "word": " شاء", "probability": 0.8984375}, {"start": 4097.68, "end": 4097.86, "word": " الله", "probability": 0.9462890625}, {"start": 4097.86, "end": 4098.52, "word": " يوم", "probability": 0.97216796875}, {"start": 4098.52, "end": 4098.94, "word": " الأحد", "probability": 0.919921875}, {"start": 4098.94, "end": 4099.52, "word": " الجاد", "probability": 0.68212890625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 4099.57575, "duration_after_vad": 3971.1097187499863}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY.srt b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b22b5c3bf16d8fa70360c4cffda1664a1ec5ef17
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY.srt
@@ -0,0 +1,2331 @@
+1
+00:00:09,880 --> 00:00:14,220
+بنسمي باسم الله ونبدأ الـ chapter التاسع اللي تحت
+
+2
+00:00:14,220 --> 00:00:16,900
+عنوانه Faraday's law شباب طبعا قانون فرداي من 
+
+3
+00:00:16,900 --> 00:00:21,160
+قوانين جدا مهمة في التطبيقات يعني من أهم قوانين
+
+4
+00:00:21,160 --> 00:00:25,960
+الكهرباء هو قانون فرداي، البروبلينز هي معروفة
+
+5
+00:00:25,960 --> 00:00:30,700
+ونبدأ نشوف ايش عمل فرداي، طبعا فرداي اكتشف الظاهرة
+
+6
+00:00:30,700 --> 00:00:34,300
+by chance اكتشف الظاهرة by chance كان بيشتغل في
+
+7
+00:00:34,300 --> 00:00:38,400
+المعمل لقى الشغل قاعد عنده بتصير وبدأ يفسر فيها
+
+8
+00:00:38,400 --> 00:00:42,140
+ايش هي الظاهرة؟ Faraday's law of induction قانون
+
+9
+00:00:42,140 --> 00:00:46,680
+فرداي، طبعا قانون فرداي عمل انقلاب برضه في
+
+10
+00:00:46,680 --> 00:00:50,300
+التكنولوجيا، هي الكهرباء من قانون فرداي وعد كل
+
+11
+00:00:50,300 --> 00:00:56,640
+الكهرباء دي أصلها قانون فرداي، بيقول لي: We learn that
+
+12
+00:00:56,640 --> 00:00:59,500
+electric current produces magnetic field هذا
+
+13
+00:00:59,500 --> 00:01:02,140
+اتعلمناها، مش الشحنات المتحركة كانت بتولد مجال
+
+14
+00:01:02,140 --> 00:01:06,520
+كهربائي، مجال مغناطيسي هذه معلومة صارت عندنا، شحنات 
+
+15
+00:01:06,520 --> 00:01:10,340
+متحركة في الآخر قلنا تيار... كل تيار بيولد مجال
+
+16
+00:01:10,340 --> 00:01:14,440
+مغناطيسي، الآن نريد أن نتأكد أن هذا المجال
+
+17
+00:01:14,440 --> 00:01:19,240
+المغناطيسي ينتج في بعض الحالات تيار كهربائي...
+
+18
+00:01:19,240 --> 00:01:21,520
+التيار بيولد مجال مغناطيسي، الآن بينشأ سؤال إن 
+
+19
+00:01:21,520 --> 00:01:24,840
+المجال المغناطيسي بيجيب تيار، نرجع... بيضة هكذا
+
+20
+00:01:24,840 --> 00:01:28,490
+...البيضة بتجيبش جاجة، طب الجاجة بتجيبش بيضة؟ بتجيب
+
+21
+00:01:28,490 --> 00:01:32,490
+بس بقى بدها شغلات معينة عشان تجيب البيضة وهي نفس
+
+22
+00:01:32,490 --> 00:01:35,890
+القضية، احنا قلنا في حالتنا البيضة بتبدأ تقول عنها
+
+23
+00:01:35,890 --> 00:01:39,110
+هي الـ electron هي الأصل، الـ electron هو أصل كل حاجة
+
+24
+00:01:39,110 --> 00:01:43,490
+هو أصل البيض وهو أصل الجاجة تمام؟ الآن احنا عرفنا
+
+25
+00:01:43,490 --> 00:01:47,170
+إن التيار ولد مجال مغناطيسي، هتبدأ أرجع لمجال 
+
+26
+00:01:47,170 --> 00:01:49,630
+المغناطيسي بدي يولّد لي تيار ولا لأ؟ وبدنا نشوف
+
+27
+00:01:49,630 --> 00:01:55,560
+أصله تمام، Consider allume، ايش اللي حصل مع فرداي؟ كان
+
+28
+00:01:55,560 --> 00:01:59,660
+عنده جلفانوميتر على الطاولة ورابط فيه سلك هيك و
+
+29
+00:01:59,660 --> 00:02:02,580
+راميه، وقاعد سلك لافيه كهربا ولا فيه حاجة و
+
+30
+00:02:02,580 --> 00:02:05,940
+الجلفانوميتر مأشر على الصفر زي ما هم توقعوا و بقت
+
+31
+00:02:05,940 --> 00:02:09,760
+شانسة عنده مغناطيس كان على الطاولة وبيشغل إن خبط
+
+32
+00:02:09,760 --> 00:02:13,360
+المغناطيس تطلع الجلفانوميتر تتحرك، المغناطيس هو
+
+33
+00:02:13,360 --> 00:02:16,760
+هيتحرك ايه؟ By الشخص الثاني، We'll consider a loop
+
+34
+00:02:16,760 --> 00:02:20,940
+of wire that is connected to a galvanometer and a
+
+35
+00:02:20,940 --> 00:02:24,020
+magnet is moved into the vicinity of the loop
+
+36
+00:02:24,020 --> 00:02:28,940
+واتحرك عندك مجال مغناطيسي بالقرب من هالـ loop، It is
+
+37
+00:02:28,940 --> 00:02:35,760
+observed that لاحظ التالي وقال لي: هاي رسمة فرداي
+
+38
+00:02:35,760 --> 00:02:40,930
+هدا سلك شباب، وهذا الجلفانوميتر وهذا المغناطيس جنبه
+
+39
+00:02:40,930 --> 00:02:46,070
+هذا واقف وهذا واقف، ايش تتوقع يصير؟ فيش تيار، هذه
+
+40
+00:02:46,070 --> 00:02:52,320
+أول خطوة، بيقول لي: إذا كانت كلّ الـ loop و مبنى
+
+41
+00:02:52,320 --> 00:02:57,920
+الهيلجيستيكشنري مقاومة مع بعضها البعض فلا يوجد فرق 
+
+42
+00:02:57,920 --> 00:03:01,040
+في الجلفانوميتر وهي مؤشر الجلفانوميتر بأشر على
+
+43
+00:03:01,040 --> 00:03:05,100
+الصفر هذه شغلها المنطقية، مافيش مشكلة لأنه أنا مافيش
+
+44
+00:03:05,100 --> 00:03:09,360
+عندي لا بطارية ولا مصدر تيار كهربائي، ايه سوى قال:
+
+45
+00:03:09,360 --> 00:03:14,420
+خلينا نشوف الآن حرك المغناطيس، ايه صار في
+
+46
+00:03:14,420 --> 00:03:19,400
+الجلفانوميتر؟ أشر بدل ما كان صفر صار بقيمة، بدي
+
+47
+00:03:19,400 --> 00:03:24,700
+قيمة بيقول لي: If the loop is held stationary، وقفها
+
+48
+00:03:24,700 --> 00:03:29,700
+دي خليها واقفة، حركها، While the magnet is moved
+
+49
+00:03:29,700 --> 00:03:33,400
+toward the loop، the galvanometer will deflect in one
+
+50
+00:03:33,400 --> 00:03:37,880
+direction أشر يعني في كهرباء صح ولا لأ؟ تأشيرته دلالة
+
+51
+00:03:37,880 --> 00:03:41,720
+على أنه في كهرباء، طيب جاهز، طيب خلينا نبعد المغناطيس
+
+52
+00:03:41,720 --> 00:03:46,520
+لجهة، في تأشيرة بس بالاتجاه ايش؟ المعاكس، بيقول لي الآن
+
+53
+00:03:46,520 --> 00:03:57,950
+ابعد، بتشر باتجاه المعاكس بيقول لي هنا بس
+
+54
+00:03:57,950 --> 00:04:01,010
+الحين بنوقفها، ده إن شاء الله موقفة، بنتجه في
+
+55
+00:04:01,010 --> 00:04:04,230
+موجوده، If the magnet is moved away from the loop
+
+56
+00:04:04,230 --> 00:04:06,790
+the galvanometer will deflect in the opposite
+
+57
+00:04:06,790 --> 00:04:11,230
+direction تمام؟ جاهز الآن، طيب وقف المغناطيس وحرك الـ
+
+58
+00:04:11,230 --> 00:04:17,900
+loop بنفس الـ observations تيجي، بيقول لي: The same
+
+59
+00:04:17,900 --> 00:04:22,760
+observations is occurred when the loop is moved
+
+60
+00:04:22,760 --> 00:04:28,620
+while the magnet is held stationary تمام، هذا اكتشف
+
+61
+00:04:28,620 --> 00:04:33,760
+فرداي وبدأ يشتغل يقول: ايش اللي خلّى الكهرباء تبين؟
+
+62
+00:04:34,570 --> 00:04:39,470
+ماذا حصل؟ هناك حركة فيها تغير يعني صح ولا لا؟ ماهو
+
+63
+00:04:39,470 --> 00:04:44,790
+التغير؟ المجال المغناطيسي، لجأ على الموضوع لا طول
+
+64
+00:04:44,790 --> 00:04:49,090
+السلك ولا طول الـ loop برضه لا، لجأ إن اللي غير هو
+
+65
+00:04:49,090 --> 00:04:55,530
+الـ flux، الـ flux اللي خلال هذه الـ loop إذا زاد أو
+
+66
+00:04:55,530 --> 00:05:00,250
+نقص بقشر الجلفانوميتر قال ايش؟ قال: هادي لما يبعد 
+
+67
+00:05:00,950 --> 00:05:04,110
+الـ flux عمّاله بينقص لأن الـ magnetic field بيخس صح
+
+68
+00:05:04,110 --> 00:05:06,950
+ولا لأ؟ لأنه كل ما أنا أبعد لأن هنا في خطوط مجال
+
+69
+00:05:06,950 --> 00:05:11,250
+مش من الشمال إلى الجنوب بروح في اختراق لخطوط
+
+70
+00:05:11,250 --> 00:05:15,590
+المجال، هنا إذا فيه flux أبعد، الـ flux عمّاله بينقص
+
+71
+00:05:15,590 --> 00:05:19,490
+لأن الـ magnetic field بيقل، كل ما أنت بتبعد عمّاله
+
+72
+00:05:19,490 --> 00:05:24,470
+قاعد فيه نقصان لـ magnetic flux، جرب بتزيد، طيب ثبت
+
+73
+00:05:24,470 --> 00:05:28,970
+هذا وحرك هذه، نفس القضية، حرك هذه هيك بيجي الـ
+
+74
+00:05:28,970 --> 00:05:32,490
+magnetic field، حركة باتجاه القرب بزيد لي الـ magnetic
+
+75
+00:05:32,490 --> 00:05:37,730
+field، إذا صار اللي لجأ له فرداي إن تغير الـ magnetic
+
+76
+00:05:37,730 --> 00:05:42,570
+flux هو الأصل، اتغير الـ magnetic flux فيه تيار
+
+77
+00:05:42,570 --> 00:05:46,270
+كهربائي، الـ magnetic flux كان ثابت مافيش تيار
+
+78
+00:05:46,270 --> 00:05:52,650
+كهربائي، من هذه الملاحظات واحدة تؤكد بأن حركة تنتج
+
+79
+00:05:52,650 --> 00:05:55,030
+حركة في تيار كهربائي، في تيار كهربائي في حركة
+
+80
+00:05:55,030 --> 00:05:57,590
+كهربائي، in the loop as long as there is relative
+
+81
+00:05:57,590 --> 00:06:02,020
+motion between the loop and the magnet، التيار بعد
+
+82
+00:06:02,020 --> 00:06:05,940
+كده اتفقوا ايش يسموه؟ قالوا بنسميه تيار، طب إننا عم
+
+83
+00:06:05,940 --> 00:06:08,320
+بنعمل في هذا التيار، طبعا البطارية قالوا: خلّوا
+
+84
+00:06:08,320 --> 00:06:12,220
+التيار مستحث هذا سموه، لأنه مش جاي من بطارية مالوش
+
+85
+00:06:12,220 --> 00:06:17,160
+قبو، خلّنا نقول مستحثات، Such a current is called the
+
+86
+00:06:17,160 --> 00:06:22,180
+induced current، طيب التيار عرفنا إنه جاي من إنف من
+
+87
+00:06:22,180 --> 00:06:25,460
+قوة دافعة كهربائية ولا لأ؟ تبع البطارية، قالوا: طب هذه
+
+88
+00:06:25,460 --> 00:06:29,020
+بدها قوة دافعة كهربائية برضه سموها الـ induced emf
+
+89
+00:06:30,250 --> 00:06:34,130
+وصولته تسمى الـ Induced emf، الشيء الظاهر تولد
+
+90
+00:06:34,130 --> 00:06:35,610
+تيار من تغيّر لفلكس، هذه الظاهرة سموها
+
+91
+00:06:35,610 --> 00:06:42,130
+Electromagnetic Induction، الشيء الظاهر تولد تيار
+
+92
+00:06:42,130 --> 00:06:46,490
+من تغيّر لفلكس، هذه الظاهرة سموها Electromagnetic
+
+93
+00:06:46,490 --> 00:06:51,030
+Induction، الشيء الوحيد اللي هي production of
+
+94
+00:06:51,030 --> 00:06:54,090
+electric current from changing magnetic flux هو
+
+95
+00:06:54,090 --> 00:07:00,690
+Electromagnetic Induction، ميكل فرداي حّد هذه الـ
+
+96
+00:07:00,690 --> 00:07:04,730
+observation في قانون شباب، قانون رياضي يعتبر
+
+97
+00:07:04,730 --> 00:07:09,070
+considered as one of the fundamental laws in
+
+98
+00:07:09,070 --> 00:07:12,350
+electromagnetic induction، هم أربع قوانين هذا أصلّهم
+
+99
+00:07:12,350 --> 00:07:15,750
+في ماكسويل وفي قانون جاوس وقانون فرداي، من القوانين
+
+100
+00:07:15,750 --> 00:07:21,760
+الرئيسية في الكهرومغناطيسية وحتى في العلوم كلها، قال إن
+
+101
+00:07:21,760 --> 00:07:29,580
+الـ induced emf هو مقارنة لرقم تغيير الـ flux المغناطيسي
+
+102
+00:07:31,350 --> 00:07:35,450
+الـ emf بيساوي سالب دي فاي على دي تي، هذا عدد اللي فات
+
+103
+00:07:35,450 --> 00:07:39,150
+هيجي دي فاي على دي تي، شباب لو فاي ثابتة وروحها 
+
+104
+00:07:39,150 --> 00:07:44,310
+تفضل تتثابت ايش بيطلع؟ صفر، إذا مافيش تيار صح؟ هذا
+
+105
+00:07:44,310 --> 00:07:48,330
+فاي تغيرت، فضلها إلها قيمة، طبعا التفاضل له حالتين
+
+106
+00:07:48,330 --> 00:07:51,790
+لا بيطلع موجب لا بيطلع سالب، شباب إذا فاي بتزيد و
+
+107
+00:07:51,790 --> 00:07:57,290
+فضلتها بيطلع موجب ولا سالب؟ إذا بيزيد موجب تمام؟
+
+108
+00:07:57,290 --> 00:08:00,510
+تفاضله نقصانه في الدنيا سالب، واذا five things
+
+109
+00:08:00,510 --> 00:08:04,750
+تفاضلها سالب، طبعا هذا السالب حاطينه ليش؟ قالوا: عشان
+
+110
+00:08:04,750 --> 00:08:07,570
+تظبط معايا مبدأ الـ conservation of energy، احنا
+
+111
+00:08:07,570 --> 00:08:11,130
+هنشرحها ولنز فسّرها... مظبوط؟
+
+112
+00:08:13,560 --> 00:08:16,300
+الجهد المتولد يعني... الجهد المتولد ما هو مش شيط
+
+113
+00:08:16,300 --> 00:08:18,900
+فيه تيار... أنت شوف التيار في دي الجلفانوميترات؟ طب
+
+114
+00:08:18,900 --> 00:08:21,640
+التيار هو بنفع يكون في تيار اللي فيه قاعدة
+
+115
+00:08:21,640 --> 00:08:24,860
+الشحنات؟ والشحنات مين بيحركها؟ فرق جهود، إذا ما
+
+116
+00:08:24,860 --> 00:08:27,960
+بدي فرق جهود، فهذا فرق الجهود يسمون الـ emf... الـ
+
+117
+00:08:27,960 --> 00:08:31,360
+induced emf تمام؟ أنا هنشرح منهم الأصل ايه...
+
+118
+00:08:31,360 --> 00:08:37,020
+تمام؟ إذا هذا هو فرداي، عدد اللفات جيب الـ flux اللي
+
+119
+00:08:37,020 --> 00:08:40,160
+أخذناه في الشكل الماضي، لسه آخر حاجة جيب الـ flux 
+
+120
+00:08:40,160 --> 00:08:44,180
+فاضي وبعدين تطلع معاك النتيجة، طبعا الـ flux مش هو
+
+121
+00:08:44,180 --> 00:08:48,780
+اللي أخذناه بساوي تكامل B.dA، تمام، طبعا We are
+
+122
+00:08:48,780 --> 00:08:52,160
+under the number of lands in the world for uniform
+
+123
+00:08:52,160 --> 00:08:55,500
+magnetic field، ده اللي يفترض أنه B is uniform و
+
+124
+00:08:55,500 --> 00:09:00,620
+أنت بتعرف إن الـ flux بساوي تكامل B.dA، لو هاد
+
+125
+00:09:00,620 --> 00:09:01,080
+uniform
+
+126
+00:09:05,080 --> 00:09:10,360
+أنت كامل الـ dA؟ ايه؟ بيقول لي: إذا كانت B is
+
+127
+00:09:10,360 --> 00:09:12,520
+uniform بيصير هاي الـ flux، الدورة بالراجل حطت
+
+128
+00:09:12,520 --> 00:09:16,900
+cos θ صح؟ عشان فاي كلها متغيرة، بيكفيني واحد
+
+129
+00:09:16,900 --> 00:09:21,180
+من التلاتة هدول يتغير ولا لأ؟ غير B اتغيرت الـ
+
+130
+00:09:21,180 --> 00:09:24,480
+flux، غير الـ area اتغيرت الـ flux، غير θ
+
+131
+00:09:24,480 --> 00:09:29,180
+اتغيرت الـ flux، هل جيت محطة كهرباء ولا الـ
+
+132
+00:09:29,180 --> 00:09:33,020
+generator اللي في دارك؟ ايش بيغير؟ بيغير θ
+
+133
+00:09:33,920 --> 00:09:38,880
+بتتولد الكهرباء، عشان كده هذا القانون هو فكرة عمل كل
+
+134
+00:09:38,880 --> 00:09:42,240
+الـ generators اللي في الدنيا، Where theta is the
+
+135
+00:09:42,240 --> 00:09:43,840
+angle between the magnetic field and the area
+
+136
+00:09:43,840 --> 00:09:47,400
+بيقول: هي اشتغل هاي قانونك، هتجد ايش الثابت وايه
+
+137
+00:09:47,400 --> 00:09:51,620
+المتغير حسب، طبعا أنت بكفيك واحد يتغير، From this
+
+138
+00:09:51,620 --> 00:09:54,380
+explanation we conclude that an induced emf can be
+
+139
+00:09:54,380 --> 00:10:00,460
+created if either B, A or θ or a combination of them
+
+140
+00:10:00,460 --> 00:10:03,380
+vary with time، ممكن يكون اثنين منهم أو التلاتة
+
+141
+00:10:03,380 --> 00:10:07,840
+كلهم مع بعض يتغيروا، لكن أنا بيكفيني واحد يتغير، بدي
+
+142
+00:10:07,840 --> 00:10:12,800
+أفترض إن θ اللي بتتغير بس، θ اللي اتغيرت صار الـ emf
+
+143
+00:10:12,800 --> 00:10:21,660
+بساوي ناقص nBA d/dt cos θ
+
+144
+00:10:21,660 --> 00:10:31,380
+مظبوطة أو لا يا شباب؟ من يفضل لها؟ سالب هيك أنا
+
+145
+00:10:31,380 --> 00:10:34,700
+بفضل عن نسمة لفيتا ولا نسمة لـ T الـ implicit
+
+146
+00:10:34,700 --> 00:10:42,420
+function وراح ولا خدته طار، إذا هدا في كمال هدا
+
+147
+00:10:42,420 --> 00:10:48,820
+ω طيب
+
+148
+00:10:48,820 --> 00:10:55,160
+طلعت بساوي سالب nBAω sin θ أو ωt
+
+149
+00:10:56,740 --> 00:11:01,840
+هذه sin θ اللي بتسوّق مجافته عشان كده بتطلع عندك
+
+150
+00:11:01,840 --> 00:11:06,700
+تيار متردد لأن θ بتتغير، ممكن تكون صفر، جدي sin
+
+151
+00:11:06,700 --> 00:11:10,980
+صفر صفر، ممكن تكون تسعين، جدي sin تسعين واحد، مظبوط
+
+152
+00:11:10,980 --> 00:11:14,680
+ولا لأ؟ إذا العملية صار التيار اللي بيجيك بيجيك
+
+153
+00:11:14,680 --> 00:11:19,920
+رسمته sin، رسمة الـ sin هو التيار المتردد، إذا هاي
+
+154
+00:11:19,920 --> 00:11:24,020
+فكرة عمل الـ generator تبعّتي، عشان كده بيجيني الـ
+
+155
+00:11:24,020 --> 00:11:29,000
+generator الـ voltage متردد alternating والتيار
+
+156
+00:11:29,000 --> 00:11:33,680
+تبعانقله برضه alternating، من اين؟ من الـ sin هذه
+
+157
+00:11:33,680 --> 00:11:37,240
+لأن أنا غيرت الـ cos والـ cos بيجي sin ورسمة
+
+158
+00:11:37,240 --> 00:11:40,480
+الـ sin والـ alternating، كلمة مش هاي اشارته، هاي
+
+159
+00:11:40,480 --> 00:11:45,890
+اشارة من الـ sin أو إشارة الـ cos كله واحد، الـ
+
+160
+00:11:45,890 --> 00:11:49,670
+minus sign في قانون فرداي هو تتبع لقوة الحفظ
+
+161
+00:11:49,670 --> 00:11:54,250
+للطاقه، هذه فكرة بسيطة جدا إن عمل منها كل الدنيا، كل
+
+162
+00:11:54,250 --> 00:11:57,810
+الكهرباء اللي أنتم شايفينها بالتطور اللي شفناه كله
+
+163
+00:11:57,810 --> 00:12:01,390
+جاي منها، بيكون جوا الـ generator، المطور اللي جوا
+
+164
+00:12:01,390 --> 00:12:05,190
+عنكم فيه مغناطيس، طبعا هي قطب شمالي وقطب جنوبي
+
+165
+00:12:05,190 --> 00:12:09,930
+بالتالي خطوط المجال بيثبتوها، هذه الـ loop هذه 
+
+166
+00:12:09,930 --> 00:12:15,170
+الـ loop بيتلف طبعا أنا بيهمني بدي مصدر للدوران بدي 
+
+167
+00:12:15,170 --> 00:12:19,290
+طاقة حركة، إن هذا بيلف بيجيب في حركة وهذا بيلف 
+
+168
+00:12:19,290 --> 00:12:22,370
+كيف؟ هذا جلفانوميتر بيروح هيك وبيروح هيك بيروح
+
+169
+00:12:22,370 --> 00:12:25,870
+هيك وبيروح هيك، طبعا بيروح بالاتجاهين وعامل رسمة
+
+170
+00:12:25,870 --> 00:12:34,590
+كيف إن الـ V تتحرك؟ لأن الـ area إذا كانت هذه الـ
+
+171
+00:12:34,590 --> 00:12:38,550
+loop هيك، معناته فيها 90 درجة، وإذا الـ loop هيك،
+
+172
+
+201
+00:14:30,860 --> 00:14:34,140
+الـ generator قبل kilo والـ generator قبل عشرة kilo في
+
+202
+00:14:34,140 --> 00:14:37,340
+واحد منهم بيديك volt أكثر من الثاني، لا اثنين
+
+203
+00:14:37,340 --> 00:14:40,760
+بيديكوا 220 volt صح ولا لأ؟ إذا وين الفرق؟ بيديك
+
+204
+00:14:40,760 --> 00:14:44,190
+أمبير أكثر، والـ أمبير لما يكون أكثر احنا ما اتفقنا من
+
+205
+00:14:44,190 --> 00:14:47,510
+أول هو اللي بيخليك تخلي الـ power أكثر لأنه أنا
+
+206
+00:14:47,510 --> 00:14:51,550
+عندي I في V، V ثابت للجميع بدل I كل ما زاد الأمبير
+
+207
+00:14:51,550 --> 00:14:55,710
+عشان كده مرة كنا بنتحدث مع تعيين شركة الكهرباء أنه
+
+208
+00:14:55,710 --> 00:14:59,730
+كان من أحد الحلول اللي قاعدين بيفكروا فيها أنه بدل
+
+209
+00:14:59,730 --> 00:15:04,430
+ما نقطع على منطقة كان أيام اثنتا عشرة ساعة ويجيبوننا
+
+210
+00:15:04,430 --> 00:15:07,670
+ست ساعات، يقولوا لأ نجيبها في بعض المناطق ما نقطعش
+
+211
+00:15:07,670 --> 00:15:11,680
+كامل بس ندينهم أمبير قليل، طبعا لما تديك أمبير قليل
+
+212
+00:15:11,680 --> 00:15:15,440
+معناه تقدرش تشغل السخان، تقدرش تشغل المكواة أو الـ
+
+213
+00:15:15,440 --> 00:15:18,840
+condition، تقدر تضوي تشغل التلفزيون لأنه بصير...
+
+214
+00:15:18,840 --> 00:15:22,360
+لما يكون الأمبير قليل وجهه يوارح، بصير الوقت اللي
+
+215
+00:15:22,360 --> 00:15:25,840
+أنت بتقدر تأخذها قليلة فطبعا كانت...بس بيجيها
+
+216
+00:15:25,840 --> 00:15:30,040
+مشاكل، خلّينا نقول فنية كيف يقدروا يتحكموا بالـ أمبير
+
+217
+00:15:30,040 --> 00:15:33,500
+اللي داخل على البيوت في حارة معينة أو في مدينة
+
+218
+00:15:33,500 --> 00:15:37,360
+معينة، ساعتها طبعا لما يجللوا الـ أمبير بدل ما يعطوا
+
+219
+00:15:37,360 --> 00:15:41,650
+حارة ممكن يعطوا كل الحارات بنفس الطاقة وتكون توزعت
+
+220
+00:15:41,650 --> 00:15:44,530
+صح، وكان في هذا الاقتراح لو يقدروا تبقى كتير أحسن
+
+221
+00:15:44,530 --> 00:15:49,350
+بمعنى آخر، أنا في النهاية بأرضى تعطيني عشر ساعات
+
+222
+00:15:49,350 --> 00:15:53,730
+أمبير قليل، وأربعة عشر ساعة أمبير كبير، ليش أنا
+
+223
+00:15:53,730 --> 00:15:56,450
+بالعشر ساعات أنا بدي أبوي أشغل الـ computer تبعي
+
+224
+00:15:56,450 --> 00:16:01,850
+أشغل تلفزيوني، أشغل هوايتي، براشة، أقول عندي رفّة هي
+
+225
+00:16:01,850 --> 00:16:07,790
+أشغل condition، وأشغل مكواة، وتتّأجر يعني فلو طب قد
+
+226
+00:16:07,790 --> 00:16:10,870
+كانت كتير ميّحة الفكرة، بس يبدو أن في مواقف فنية
+
+227
+00:16:10,870 --> 00:16:14,210
+لأن أنتم عارفين احنا في الآخر الـ motor تبعنا اللي
+
+228
+00:16:14,210 --> 00:16:18,550
+بنجيبه أغلب ده قاصر علينا أن يشغله كل حاجة فبقى
+
+229
+00:16:18,550 --> 00:16:21,150
+أنا أجيبه من بلدية أو من شركة الكهرباء كان أحسن
+
+230
+00:16:21,150 --> 00:16:24,210
+ليه؟ كان من ضمن الأفكار اللي كانوا يفكروا فيها لكن
+
+231
+00:16:24,210 --> 00:16:30,120
+ما عرفوش يطبقوها تمام، خلّينا نحل على فرضايس، طبعا هم
+
+232
+00:16:30,120 --> 00:16:34,640
+متفاهمين يا شباب، قانون فرضايس هو قانون تطبيقاته
+
+233
+00:16:34,640 --> 00:16:39,280
+أهم من أنه يعني اعتبره قانون وحل عليه أنثى، لكن في
+
+234
+00:16:39,280 --> 00:16:42,060
+النهاية ما أنتم عارفين احنا بناخد أصل العلم
+
+235
+00:16:42,060 --> 00:16:46,100
+وبالتالي بيهمنا الـ science تبعه، التطبيقات زي ما
+
+236
+00:16:46,100 --> 00:16:51,890
+تول حكينا التطبيقات الأصلية كمهندسين بتهتموا
+
+237
+00:16:51,890 --> 00:16:55,050
+بالتطبيق، بس برضه بيبقوا الميز ما بين مهندس و
+
+238
+00:16:55,050 --> 00:16:59,170
+technician، يعني بالنهاية المهندس بيفرج عن الـ
+
+239
+00:16:59,170 --> 00:17:01,530
+technician، فيش الـ technician بيطبق ومرات ما لهوش
+
+240
+00:17:01,530 --> 00:17:05,030
+دعوة بين نظرية كيف تشتغل، الـ technician بيعرف أنه
+
+241
+00:17:05,030 --> 00:17:07,910
+والله هذه الجينالية تخربان، أن أنت بتوديله مهندس
+
+242
+00:17:07,910 --> 00:17:10,630
+ولا لوحده يمكن الله أعلم خلص إعدادي ولا مش خلص
+
+243
+00:17:10,630 --> 00:17:13,380
+إعدادي، وبيعمل الـ generator ايش بده يفرج على
+
+244
+00:17:13,380 --> 00:17:16,880
+المهندس؟ المهندس من جوا التركيبة نفسه العلم تبع الـ
+
+245
+00:17:16,880 --> 00:17:19,720
+generator لازم يكون عارفه، ومن هنا بتيجي الأمور
+
+246
+00:17:19,720 --> 00:17:23,180
+اللي احنا بتركز عليها، أصل العلم قعدنا هنشوف فرضايس
+
+247
+00:17:23,180 --> 00:17:27,540
+بعد ما عمل، كان شغل للعلماء مش أنه فرضايس عمل ظاهرة
+
+248
+00:17:27,540 --> 00:17:33,420
+وصح واستغلوها كان همهم، واش اللي جاب الكهرباء؟ من وين
+
+249
+00:17:33,420 --> 00:17:37,040
+اجت الكهرباء؟ نظريا علميا ايش إيجاد بالكهرباء؟ و
+
+250
+00:17:37,040 --> 00:17:40,060
+قعدنا هنشرح كيف إيجاد الكهرباء، بقينها بيقول أكل
+
+251
+00:17:40,060 --> 00:17:43,900
+طبعا كل معناتها ملف يا شباب، أكل قعدنا هنسميه inductor
+
+252
+00:17:43,900 --> 00:17:47,360
+الاسم العلمي ايه؟ إذًا في الـ capacitor ايه اسمين؟
+
+253
+00:17:47,360 --> 00:17:51,370
+capacitor و condenser، الـ condenser للاسم اللغوي التجاري
+
+254
+00:17:51,370 --> 00:17:57,750
+capacitor للاسم العلمي، إيجاد الاسم اللغوي، الاسم
+
+255
+00:17:57,750 --> 00:18:01,690
+العلمي له inductor، المحاثة بيسموها، فهدّك inductor، هد
+
+256
+00:18:01,690 --> 00:18:05,990
+coil، لسه ما اخذناش inductor، فراح للّغة، coil معناتها
+
+257
+00:18:05,990 --> 00:18:11,950
+ملف، a coil consist of 200 turns في 200 لفة، كل مجلد
+
+258
+00:18:11,950 --> 00:18:16,290
+هو مجلد عمودي وكل لفة عامل مربع مدّيك الـ site تبعه
+
+259
+00:18:16,290 --> 00:18:19,150
+أنت عارف أنت جيت مساحة المربع؟ أنت عارف أنت جيت
+
+260
+00:18:19,150 --> 00:18:22,070
+مساحة المربع؟ and a uniform magnetic field
+
+261
+00:18:22,070 --> 00:18:24,610
+perpendicular to the plane of the coil، بيقول الـ
+
+262
+00:18:24,610 --> 00:18:28,590
+magnetic field عمودي على هذه المربع وهيك الـ
+
+263
+00:18:28,590 --> 00:18:30,910
+magnetic field يعني ما جدتش ازاوي بين الـ area و
+
+264
+00:18:30,910 --> 00:18:35,070
+magnetic field؟ zero، لأن الـ magnetic field عمودي و
+
+265
+00:18:35,070 --> 00:18:40,970
+الـ area عمودية أصلا من تعريفها تمام، is termed such
+
+266
+00:18:40,970 --> 00:18:47,750
+that ΔB بيتساوي 0.5 تسلا in 0.8 second في 0.8 second
+
+267
+00:18:47,750 --> 00:18:52,710
+تغيرت ΔB نصف تسلا يعني ΔB على ΔT الدنيا
+
+268
+00:18:52,710 --> 00:18:56,050
+جاهزة ايه بتبقى قطر قانون حكينا هذا مثال أي كلام
+
+269
+00:18:56,050 --> 00:19:07,390
+solution بيقولنا ماقص in B في a cos θ نقص in a cos
+
+270
+00:19:07,390 --> 00:19:11,690
+θ، dB على dt cos θ في الباب واحد، لأن θ هو zero من
+
+271
+00:19:11,690 --> 00:19:19,270
+التعريف، dB على dt هي نفسها delta b على delta t دلتا
+
+272
+00:19:19,270 --> 00:19:21,710
+B على دلتا t بيساوي 0.5 على 0.8
+
+273
+00:19:21,710 --> 00:19:25,130
+بس عوض وطلع النتيجة طلعت 4.1
+
+274
+00:19:25,130 --> 00:19:30,390
+volt، تمام، كمان مثال برضه سهل جدا بيقول للمجال
+
+275
+00:19:30,390 --> 00:19:34,770
+المغناطيسي الآن يا شباب يعطاك يوم متغير وله علاقة
+
+276
+00:19:34,770 --> 00:19:38,210
+vary with time according to high B بيساوي بيه
+
+277
+00:19:38,210 --> 00:19:41,910
+maximum ايه؟ طب هو minus alpha في T إذا بيه متغير
+
+278
+00:19:41,910 --> 00:19:46,390
+وله علاقة بالزمن بتقدر تفضله الـ exponential تعرف
+
+279
+00:19:46,390 --> 00:19:50,390
+تفضله، كلكم بتعرفوا ايه تبقى ناقص alpha x بتفضله
+
+280
+00:19:58,210 --> 00:20:01,590
+إذا أنا بدأ فاضل هنا مش أكثر، بقول a loop of wire
+
+281
+00:20:01,590 --> 00:20:05,690
+of area A is placed in a magnetic field
+
+282
+00:20:05,690 --> 00:20:08,090
+perpendicular to the plane of the loop، برضه
+
+283
+00:20:08,090 --> 00:20:10,190
+perpendicular to the plane of the loop يعني زي و
+
+284
+00:20:10,190 --> 00:20:14,490
+zero برضه تمام، the magnetic field B varies with
+
+285
+00:20:14,490 --> 00:20:18,890
+time according to أطلق قيمة B as a function of T
+
+286
+00:20:18,890 --> 00:20:21,810
+مطلقش اللي فاضل، what is the induced emf in the
+
+287
+00:20:21,810 --> 00:20:26,450
+loop، برضه طبعاهو طبق قانون Faraday، again the area
+
+288
+00:20:26,450 --> 00:20:31,950
+is constant والزاوية صفر أصلا اللي متغير هو B، قال
+
+289
+00:20:31,950 --> 00:20:37,550
+فاضل بيه فما هي بيه يعني ببلش وكأن سؤالتها فاضل
+
+290
+00:20:37,550 --> 00:20:41,050
+يعني سهل، فاضل طلع يجيب بهذا النتيجة ما فيش أي
+
+291
+00:20:41,050 --> 00:20:45,300
+إشكالية، تمام قعدنا لما نشتغل على lenses low في بس
+
+292
+00:20:45,300 --> 00:20:48,120
+مشكلة في الـ direction نتعلم نجيب الـ direction أما
+
+293
+00:20:48,120 --> 00:20:50,900
+الـ magnitude مجرد تفاضل ما فيش أي صعوبة في قانون
+
+294
+00:20:50,900 --> 00:20:55,440
+فرضايس كتفبيق عليه ما فيش في أي صعوبة، تمام، emotional
+
+295
+00:20:55,440 --> 00:21:02,960
+inf الـ inf اللي توي حكينا عنه من وين اجى الآن زي
+
+296
+00:21:02,960 --> 00:21:07,500
+ما اتفقنا القضية كانت من وين اجت الكهرباء
+
+297
+00:21:12,290 --> 00:21:15,970
+عشان أنا أفهم من وين اجت الكهرباء بدي أبدأ أشوف ايش
+
+298
+00:21:15,970 --> 00:21:19,030
+اللي بصير لما الـ magnetic reflex تغير ايش اللي صار
+
+299
+00:21:24,120 --> 00:21:28,520
+الظاهرة اللي اكتسبها فرضايس وحطلها قانون حتى
+
+300
+00:21:28,520 --> 00:21:31,320
+القانون لحد الآن ما قنعش العلماء بيقول لك الـ flux
+
+301
+00:21:31,320 --> 00:21:35,100
+لما يتغير ايش جاب الكهرباء، الكهرباء المعلومة اللي
+
+302
+00:21:35,100 --> 00:21:38,280
+عندي أنا أن الإلكترونات بتتحرك، ايش الحركة
+
+303
+00:21:38,280 --> 00:21:42,360
+الإلكترونات عشان يجي الفنومة ترقشر، إذا لابد من
+
+304
+00:21:42,360 --> 00:21:46,980
+شغلة صارت، حركة الإلكترون عشان كده الجلفانومتر
+
+305
+00:21:46,980 --> 00:21:50,400
+اتحرك، وحركة الإلكترون بيتحافظ على حركة الإلكترون
+
+306
+00:21:50,400 --> 00:21:55,020
+وإن كان راحة الكهرباء كما بقول، خلّينا نشرح نظريا
+
+307
+00:21:55,020 --> 00:21:58,880
+ايش اللي بيصير معايا، consider، أرد قال جيب سيليك
+
+308
+00:21:58,880 --> 00:22:03,340
+طبعا سيليك كونداكتر عشان وايه لأ ممش تيار منه
+
+309
+00:22:03,340 --> 00:22:09,250
+كونداكتر وكانت قطعة طولها L تتحرك بسرعة V في مجال
+
+310
+00:22:09,250 --> 00:22:14,930
+مغناطيسي B، تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة
+
+311
+00:22:14,930 --> 00:22:15,050
+V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك
+
+312
+00:22:15,050 --> 00:22:15,430
+بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V
+
+313
+00:22:15,430 --> 00:22:19,330
+بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V
+
+314
+00:22:19,330 --> 00:22:24,630
+تتحرك بسرعة V تتحرك بسرعة V تتحرك بسرعة V تتحرك
+
+315
+00:22:24,630 --> 00:22:28,410
+بسرعة V تتحرك
+
+316
+00:22:31,100 --> 00:22:34,020
+هذه السيليكون أما لو بيمشي جواته فران ولا لأ؟
+
+317
+00:22:34,020 --> 00:22:37,720
+ذاكرين الفران؟ الفران بيتحرك أو بيتحركوش؟ لما هو
+
+318
+00:22:37,720 --> 00:22:41,700
+يتحرك، بيتحرك وبيجي معاه، تمام؟ هل اجتني
+
+319
+00:22:41,700 --> 00:22:44,500
+الإلكترونات، هدا كونداكتر؟ في إلكترونات حرة ولا لأ؟
+
+320
+00:22:44,500 --> 00:22:49,820
+جواته، في طب هم بيمشوا، أول ما خش هان في عندي
+
+321
+00:22:49,820 --> 00:22:55,120
+زمان قانون يقول لي F magnetic بتساوي Q، V cross الـ
+
+322
+00:22:55,120 --> 00:22:59,550
+B، ذاكرينها يا شباب؟ حكاني في علومه في شرط 9 أنسو
+
+323
+00:22:59,550 --> 00:23:03,350
+فرضايس، هالجيت بيقول لأي شحنة متحركة في مجال
+
+324
+00:23:03,350 --> 00:23:07,890
+مغناطيسي تتأثر بقوة مغناطيسية صح ولا لأ؟ إذا هذه
+
+325
+00:23:07,890 --> 00:23:09,910
+الإلكترون اللي كان ماشي أول ما اخذش على مجال
+
+326
+00:23:09,910 --> 00:23:14,370
+مغناطيسي في حد الآن أثر عليه بقوة، نيجي نحسبها و
+
+327
+00:23:14,370 --> 00:23:18,030
+نشوف اتجاهها معينة فيها هذه الإلكترون إذا هي سالب
+
+328
+00:23:18,030 --> 00:23:25,330
+ايه؟ متفقين؟ V كيف اتجاهها يا شباب؟ I، وهذه سالب K، مش
+
+329
+00:23:25,330 --> 00:23:31,380
+into the beige سالب سالب راحت I cross K سالب G إذا
+
+330
+00:23:31,380 --> 00:23:35,900
+القوة وين بدها تودي تحت تحت تحت تحت تحت تحت تحت
+
+331
+00:23:35,900 --> 00:23:36,980
+تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت
+
+332
+00:23:36,980 --> 00:23:37,160
+تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت
+
+333
+00:23:37,160 --> 00:23:37,540
+تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت
+
+334
+00:23:37,540 --> 00:23:38,160
+تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت
+
+335
+00:23:38,160 --> 00:23:38,880
+تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت
+
+336
+00:23:38,880 --> 00:23:39,240
+تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت
+
+337
+00:23:39,240 --> 00:23:43,000
+تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت تحت
+
+338
+00:23:43,000 --> 00:23:47,900
+تحت تحت تحت تحت تحت تحت تحت
+
+339
+00:23:50,680 --> 00:23:55,700
+هذه اصلها صار في عندي هنا سالب وهنا موجب صار عندي
+
+340
+00:23:55,700 --> 00:24:00,240
+بطارية خطوط سالب خطوط موجب، هذه اصل القضية كلها
+
+341
+00:24:01,540 --> 00:24:05,500
+أعيدها بالكتابة بيقول لي هو طول الـ و بمشي ايش بيصير
+
+342
+00:24:05,500 --> 00:24:08,780
+بيقول لي the free electron اللي هم اللي هم معاهم في
+
+343
+00:24:08,780 --> 00:24:11,740
+الراين جوا inside the rod will experience a
+
+344
+00:24:11,740 --> 00:24:15,020
+magnetic force هيأثروا عرفيهم تأثروا بقوة
+
+345
+00:24:15,020 --> 00:24:19,220
+مغناطيسية، هيواجهوا قوة مغناطيسية according to
+
+346
+00:24:19,220 --> 00:24:22,900
+قانون chapter 29 اللي احنا عارفين هم مندعوا عن
+
+347
+00:24:22,900 --> 00:24:31,560
+فرضايس بيقول لي FM بتساوي QV X B، كيو سالب B للإلكترون، V
+
+348
+00:24:31,560 --> 00:24:36,440
+باتجاه I صح، cross سالب K صح، طريقة نقل الشيء الآن
+
+349
+00:24:36,440 --> 00:24:41,980
+فهمت أنا أن الإلكترونات فيها حد بيجبرهم ينزلوا تحت
+
+350
+00:24:41,980 --> 00:24:46,240
+هالإلكترون نزل تحت، البروتونات يصل فيه ويطلع فوق
+
+351
+00:24:46,240 --> 00:24:53,900
+انفصلوا، مين انفصلهم؟ القوة المغناطيسية، انفصلوا صار في
+
+352
+00:24:53,900 --> 00:24:59,520
+عندهم قطب موجب بقطب سالب صح ولا لأ؟ جيب سلك وحط
+
+353
+00:24:59,520 --> 00:25:03,060
+جلفانوميتر واعمل هيك ايش بتوصيف هذا؟ بده يمشي
+
+354
+00:25:03,060 --> 00:25:06,780
+هيك ولا لأ؟ أصلا في الجلفانوميتر؟ أشر رصب لعنة،
+
+355
+00:25:06,780 --> 00:25:11,120
+إذا هاي التفسير العلمي للظاهرة الفرضائية أنه
+
+356
+00:25:12,120 --> 00:25:16,460
+الإلكترونات اللي جوا اللي كانت ماشية بخاطرها وما حد
+
+357
+00:25:16,460 --> 00:25:22,260
+مشبرها اجى أول ما اتحركت في مجال مغناطيسي فصلت
+
+358
+00:25:22,260 --> 00:25:28,680
+فصلت وصار عندي قطب موجب بقطب سالب تمام الآن
+
+359
+00:25:28,680 --> 00:25:35,190
+اتفصلوا بهذا الشكل، الآن بيقول لي the electrons then
+
+360
+00:25:35,190 --> 00:25:39,110
+accumulate at the lower end of the rod بتجمعوا تحت
+
+361
+00:25:39,110 --> 00:25:43,350
+leaving a net positive at its upper end والـ
+
+362
+00:25:43,350 --> 00:25:46,390
+positive بتطلع فوق إذا صار في عندك قطب سالب وقطب
+
+363
+00:25:46,390 --> 00:25:51,750
+موجب صرت هيك أنت هنا طيب لأ أنت بتفضل هادي قول لي
+
+364
+00:25:51,750 --> 00:25:55,670
+ولا حاجة مش أسهل منها، أنت أول ما فصلت صار في عندك
+
+365
+00:25:55,670 --> 00:26:00,700
+مجال كهربائي ولا ما صارش جوا الـ rod، المجال الكهربائي
+
+366
+00:26:00,700 --> 00:26:05,600
+مش مروح من الموجب للسالب، إذا في الأول كان فيه
+
+367
+00:26:05,600 --> 00:26:08,480
+مجال كهربائي بس عشوائي، رايح تسافر، أول ما انفصل
+
+36
+
+401
+00:28:32,650 --> 00:28:34,730
+تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف،
+
+402
+00:28:34,730 --> 00:28:39,470
+تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف،
+
+403
+00:28:39,470 --> 00:28:42,710
+تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف، تتوقف،
+
+404
+00:28:42,710 --> 00:28:48,020
+تتوقف، تتوقف، تتوقف، تتوقف أبطأ بدائرة مغلقة، مش
+
+405
+00:28:48,020 --> 00:28:51,280
+الطيار صافي عندك كهربا، ضورت دواو، اتي ال
+
+406
+00:28:51,280 --> 00:28:54,940
+voltmeter اتحرك وكل الأمور اللي بدك إياها وصلت،
+
+407
+00:28:54,940 --> 00:28:59,260
+إذا الأصل من وين إجت الكهربا، نرجع للبداية
+
+408
+00:28:59,260 --> 00:29:03,760
+بالإلكترون، الإلكترون هو بيتحرك، انفصل، فعندي قف
+
+409
+00:29:03,760 --> 00:29:07,740
+جهود، طلع الكهربا، إذا أصل الكهربا، أصل معنى التوصيلة
+
+410
+00:29:07,740 --> 00:29:12,050
+هو الإلكترون، برجع بنفس المبدأ ده اللي فابعى اللي 
+
+411
+00:29:12,050 --> 00:29:15,830
+احسبها نيجي نحسبها وبعدين نقولها فرضية نحسبها و
+
+412
+00:29:15,830 --> 00:29:19,410
+نشوف قانون فرضية صح ولا .. to calculate this info
+
+413
+00:29:19,410 --> 00:29:22,430
+بقولي أنت كم أنت حسبتها أنت قولتي اللي وقفت الأمور
+
+414
+00:29:22,430 --> 00:29:26,210
+ووقتش وقفت مش لما القوة الكهربية ساوية القوة 
+
+415
+00:29:26,210 --> 00:29:29,590
+المغناطيسية ساوى القوتين اللي أنت حسبتهم ها قوة
+
+416
+00:29:29,590 --> 00:29:32,390
+المغناطيسية وها قوة الكهربية حسبهم ساويهم مع بعض
+
+417
+00:29:33,120 --> 00:29:35,700
+بقول if you calculate this info we have from the
+
+418
+00:29:35,700 --> 00:29:39,180
+equilibrium condition ان السبيل يصبح بعض FM
+
+419
+00:29:39,180 --> 00:29:43,000
+magnetic force equal electric force magnetic force
+
+420
+00:29:43,000 --> 00:29:52,020
+هي الشباب E في V في B E في V في B وهي بتساوي E في
+
+421
+00:29:52,020 --> 00:29:58,930
+Capital A Q في Eتمام؟ هذه اللي صاحب عليها جبت 
+
+422
+00:29:58,930 --> 00:30:02,210
+المجال الكهربائي المجال الكهربائي اللي هو بذأبة
+
+423
+00:30:02,210 --> 00:30:04,750
+بالسرعة وبالمجال المغناطيسي طبعًا لأن المجال
+
+424
+00:30:04,750 --> 00:30:07,650
+الكهربائي جاي من ال separation كل ما كانت أسرع ال
+
+425
+00:30:07,650 --> 00:30:09,530
+separation بيكون أكبر وكل ما كان المجال
+
+426
+00:30:09,530 --> 00:30:12,670
+المغناطيسي أكبر ال separation بيكون أكبر تمام؟ قال
+
+427
+00:30:12,670 --> 00:30:15,430
+لي أنت أنا ما بديش المجال الكهربائي أنا ما بدي الجهد
+
+428
+00:30:15,430 --> 00:30:20,230
+في علاقة بين الجهد والمجال الكهربائي V بالساوي
+
+429
+00:30:20,230 --> 00:30:22,730
+سالب تكامل E ضد ال DL ذاكرينه؟
+
+430
+00:30:25,360 --> 00:30:29,260
+بتجيبه اعتبر أن E is uniform إذا فرق الجهد بيساوي
+
+431
+00:30:29,260 --> 00:30:33,380
+E في L E في L وL هو طول السلك موجود عند طول السلك
+
+432
+00:30:33,380 --> 00:30:36,540
+بقول since the electric field is uniform inside
+
+433
+00:30:36,540 --> 00:30:39,740
+the rod the potential difference across the rod is
+
+434
+00:30:39,740 --> 00:30:44,700
+related to this electric field according to فرق
+
+435
+00:30:44,700 --> 00:30:48,480
+الجهد اللي هو الانف اللي بتدور عليه بيساوي E لحسب
+
+436
+00:30:48,480 --> 00:30:53,300
+كبُطوله بيقوله L E في L بيساوي V في L في B هاي
+
+437
+00:30:53,300 --> 00:30:57,130
+الانفقالوا احنا حسبناها استخدمت قانون فرداي لأن
+
+438
+00:30:57,130 --> 00:31:00,850
+هنا ما استخدمتش قانون فرداي هي طلعت emf وبيقول
+
+439
+00:31:00,850 --> 00:31:04,330
+ماهيش فرداي بيقول فرداي أنت حاطة انها قانون جيبلي 
+
+440
+00:31:04,330 --> 00:31:07,870
+نفس الانف وجيبلي من قانون فرداي إذا طلعت نفسي
+
+441
+00:31:07,870 --> 00:31:10,710
+نتيجة معاكت قانون فرداي ان أنا حاطة صح مظبوط ولا لأ
+
+442
+00:31:10,710 --> 00:31:14,590
+هنا ما استخدمتش فرداي بمرة أنا استخدمت قوة كهربية
+
+443
+00:31:14,590 --> 00:31:17,610
+في الشطر الأول وقوة المغناطيسية في الشطر التاسع و
+
+444
+00:31:17,610 --> 00:31:22,510
+عشرين ساويتهم مع بعض طلعت ال emf مع علاقة الجهود مع
+
+445
+00:31:22,510 --> 00:31:26,990
+المجال المغناطيسي اللي أخدته في chapter 25 واشتغلته
+
+446
+00:31:26,990 --> 00:31:30,710
+طلعت ال emf بقول الآن بدي أطبق نفس الشغلة بس
+
+447
+00:31:30,710 --> 00:31:33,790
+باستخدام قانون فرضية الآن عرفنا أول مصدر ال
+
+448
+00:31:33,790 --> 00:31:37,970
+induced emf شباب من حركة الإلكترونات جوا المجال
+
+449
+00:31:37,970 --> 00:31:41,870
+المغناطيسي انفصلت الإلكترونات صار في عندي potential
+
+450
+00:31:41,870 --> 00:31:45,190
+difference between the end of the conductor وصار
+
+451
+00:31:45,190 --> 00:31:54,510
+في عندي induced emf هذه الاختلافات تبقى محفوظة على
+
+452
+00:31:54,510 --> 00:31:58,990
+طرفي الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق
+
+453
+00:31:58,990 --> 00:31:59,990
+طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق
+
+454
+00:31:59,990 --> 00:32:01,710
+طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق
+
+455
+00:32:01,710 --> 00:32:01,870
+طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق
+
+456
+00:32:01,870 --> 00:32:02,390
+طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق
+
+457
+00:32:02,390 --> 00:32:04,870
+طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق
+
+458
+00:32:04,870 --> 00:32:07,550
+طوارئ الطرق طوارئ الطرق طوارئ الطرق طوارئ الطرق
+
+459
+00:32:07,550 --> 00:32:13,460
+طوارئ الطرق طوارلأ لو ما اتحركش ال rod بيصيرش انفصال
+
+460
+00:32:13,460 --> 00:32:19,240
+لإن اللي خلّى الانفصال لإن الكيونات بتتحرك يوة
+
+461
+00:32:19,240 --> 00:32:23,460
+بسرعة ما مافيش حركة مافيش قوة مغناطيسية مافيش قوة
+
+462
+00:32:23,460 --> 00:32:26,780
+كهربية وبالتالي مافيش أي emf عشان كده يسموها
+
+463
+00:32:26,780 --> 00:32:30,820
+motional emf مش مهمة اسمها بقولي الآن بدي أشتغل
+
+464
+00:32:30,820 --> 00:32:35,000
+على فرضية الفرضية إيش هو الفرضية قال هذا ال rod روحت
+
+465
+00:32:35,000 --> 00:32:38,240
+بدي أربطه بجه ال voltmeter عشان أربطه بجه ال
+
+466
+00:32:38,240 --> 00:32:43,140
+voltmeter بدي أجيب سلك طبعًا في إمكانية طيار أنت تحس
+
+467
+00:32:43,140 --> 00:32:47,580
+فيه بدون a closed circuit إذا بدك a closed circuit
+
+468
+00:32:47,580 --> 00:32:49,860
+عشان تحس فيه اعمل ال closed circuit عملت ال
+
+469
+00:32:49,860 --> 00:32:52,740
+closed circuit أول ما عملت ال closed circuit صار
+
+470
+00:32:52,740 --> 00:32:57,350
+في عندك surface high surface ساعتها بتقول الفرضية
+
+471
+00:32:57,350 --> 00:33:00,230
+آه أنت بتاكل ال flux اللي هنا الآن احسب ال flux
+
+472
+00:33:00,230 --> 00:33:04,310
+هذه مساحة طبعًا ما فيش مجال إنك تاخد طيار إلا لما
+
+473
+00:33:04,310 --> 00:33:06,990
+يكون عندك closed loop ومازال في closed loop صار
+
+474
+00:33:06,990 --> 00:33:10,470
+فيه عندك surface وصار فيه إمكانية تحسب ال flux ثم
+
+475
+00:33:10,470 --> 00:33:13,030
+بيقول let us now prove the last equation اللي
+
+476
+00:33:13,030 --> 00:33:16,420
+حسبتها Using Faraday's law بدي اشتغل مع فرداي يعني
+
+477
+00:33:16,420 --> 00:33:20,340
+consider now the road is sliding ال road بدي أمشي
+
+478
+00:33:20,340 --> 00:33:26,340
+along conducting rails على سكة من السلك such that it
+
+479
+00:33:26,340 --> 00:33:29,500
+forms a closed loop هاي أنا كان في عنده خطوط موجبة
+
+480
+00:33:29,500 --> 00:33:32,660
+والآن أنت تشوف إيش بيصير أول ما سكرتها الدائرة
+
+481
+00:33:32,660 --> 00:33:36,710
+مشيك مشيت أول ما سكرت الدائرة لإن كان في عندي 
+
+482
+00:33:36,710 --> 00:33:39,570
+بروتون قطب موجب وقطب سالب بتتنافر من الموجب
+
+483
+00:33:39,570 --> 00:33:41,910
+بتلعب على السالب، بتمشي، مشيت الصرف في طيار ولا
+
+484
+00:33:41,910 --> 00:33:45,190
+ما صارش فيه طيار؟ اتحركت ال voltmeter لإن اتحركت
+
+485
+00:33:45,190 --> 00:33:50,010
+الشحنات والطيار هو حركة الشحنات طبعًا أنا جيت مشيت
+
+486
+00:33:50,010 --> 00:33:53,830
+البروتون شباب عشان الطيار by convention is the
+
+487
+00:33:53,830 --> 00:33:56,930
+motion of positive charges بقى فمشيت البروتون،
+
+488
+00:33:56,930 --> 00:33:59,390
+مشي البروتون صار في عندي حركة بدي أحسبها الآن
+
+489
+00:34:01,010 --> 00:34:04,110
+بيقول add the area of the loop عشان أنا دي ب reflex
+
+490
+00:34:04,110 --> 00:34:09,770
+بيساوي بي في ال a بي في ال a بي uniform هو وال
+
+491
+00:34:09,770 --> 00:34:16,910
+area مش هي عبارة عن طول في عرض الطول ال وعرض X في 
+
+492
+00:34:16,910 --> 00:34:22,130
+product بتديني كوساين في تا الزاوية zero شباب لإن
+
+493
+00:34:22,130 --> 00:34:26,310
+ال بي هيك وال area هيك إذن الزاوية zero وظل عندي
+
+494
+00:34:26,310 --> 00:34:29,750
+أشتغل متغير وال circle أصفر بتحرك ال area بتبقى
+
+495
+00:34:29,750 --> 00:34:35,450
+ثابتة زي معناته هنا المتغير إيش ال area احنا قولنا
+
+496
+00:34:35,450 --> 00:34:39,830
+فرداي بيشتغل اتغيرت بيه اتغيرت ال area اتغيرت
+
+497
+00:34:39,830 --> 00:34:44,210
+الزاوية أو كلهم مع بعض أنا الآن بدي أغير ال area
+
+498
+00:34:44,210 --> 00:34:49,530
+هي اتغيرت ال area بقول ال area بتساوي الف X بس X
+
+499
+00:34:49,530 --> 00:34:55,850
+ثابتة لا X بالثابتة فضلها بقولي في بتساوي بي في ال
+
+500
+00:34:55,850 --> 00:35:00,050
+area وال area بتساوي الف Xحيث يتغير الوثء في الوثء
+
+501
+00:35:00,050 --> 00:35:03,610
+في الوقت التي تتحرك الوثء في الوثء في الوقت التي
+
+502
+00:35:03,610 --> 00:35:04,130
+تتحرك الوثء في الوقت التي تتحرك الوثء في الوقت
+
+503
+00:35:04,130 --> 00:35:05,050
+التي تتحرك الوثء في الوقت التي تتحرك الوثء في
+
+504
+00:35:05,050 --> 00:35:07,130
+الوقت التي تتحرك الوثء في الوقت التي تتحرك الوثء
+
+505
+00:35:07,130 --> 00:35:08,170
+في الوقت التي تتحرك الوثء في الوقت التي تتحرك
+
+506
+00:35:08,170 --> 00:35:08,210
+تتحرك الوثء في الوقت التي تتحرك الوثء في الوقت
+
+507
+00:35:08,210 --> 00:35:10,010
+التي تتحرك الوثء في الوقت التي تتحرك الوثء في
+
+508
+00:35:10,010 --> 00:35:19,270
+الوقت التي تتحرك الوثء في الوقت التي تتحالقانون
+
+509
+00:35:19,270 --> 00:35:23,450
+الأول طلع blv فرداي طلع سالب blv الفرق سالب
+
+510
+00:35:23,450 --> 00:35:27,190
+والسالب فالتك من قصته نشرحها بعدين إذا نفس القانون
+
+511
+00:35:27,190 --> 00:35:32,790
+طلع من فرداي إذا هاي قصة ال motion ال emf وهي أصل
+
+512
+00:35:32,790 --> 00:35:37,390
+العلمي لظاهرة فرداي وكيف اتولد التيار هذا اللي
+
+513
+00:35:37,390 --> 00:35:42,290
+شوفناه من حركة ولحركة إيش سوت في الإلكترونات وكيف
+
+514
+00:35:42,290 --> 00:35:46,710
+خلتها تتحرك وتبقى ماشية ويعمل فرق جهود ماشي بهذا
+
+515
+00:35:46,710 --> 00:35:47,550
+الشكل
+
+516
+00:35:54,350 --> 00:36:00,190
+هجيب طبعًا صراحة أن المعلومة بتقول التالي كل سلك
+
+517
+00:36:00,190 --> 00:36:04,830
+معدني conductor بتتخرج في مجال مغناطيسي بيصير بين
+
+518
+00:36:04,830 --> 00:36:09,090
+طرفينه فرق جهود طب عن هذه الشغلة خوفت العلماء في
+
+519
+00:36:09,090 --> 00:36:12,710
+الأول ليش؟ قالوا هو أنت ناسين إن القوة الأرضية فيها
+
+520
+00:36:12,710 --> 00:36:15,190
+مجال مغناطيسي ولا مافيش فيها مجال مغناطيسي؟ فيها
+
+521
+00:36:15,190 --> 00:36:18,270
+مجال مغناطيسي قالوا إذا كل واحد بيتحرك بدي أمسك وأت
+
+522
+00:36:18,270 --> 00:36:22,230
+كهرب أنا؟ بده هيك يصير، بدي أتكهرب طب على ما حصن
+
+523
+00:36:22,230 --> 00:36:26,810
+الحظ أنت لما تمسك حاجة للراديو بتتكهرب ليش؟ عشان
+
+524
+00:36:26,810 --> 00:36:32,070
+الفرضية جليلة تمام؟ لكن لو مسكت أنت .. حطتهم هنا
+
+525
+00:36:32,070 --> 00:36:37,510
+ومسكتهم بتبقى كذا عايش؟ بتقول تمام بالتالي إذا كان
+
+526
+00:36:37,510 --> 00:36:40,050
+عندي جهود بعين عملته اتحمله فيه جهود ما أقدرش اتحمله
+
+527
+00:36:40,050 --> 00:36:46,690
+جاله طبعًا أنا ال emf اللي حسبته أنا وياكم بيتساوي
+
+528
+00:36:46,690 --> 00:36:52,490
+بل في V هذي بي خلنا نقول المجال المغناطيسي للقوة
+
+529
+00:36:52,490 --> 00:36:59,490
+الأرضية إيه المقدار 0.35 أقل خمس دولاراتين حوالي تلت
+
+530
+00:36:59,490 --> 00:37:05,330
+اظن حتى يعني مقدار صغير ولّ طول أي rod وفي
+
+531
+00:37:05,330 --> 00:37:08,650
+السرعة طبعًا كل ما زادت السرعة شباب كل ما زادت
+
+532
+00:37:08,650 --> 00:37:12,250
+صح ولا لأ كان الخوف وين جالك إيش إيش شغلات سريعة جدا
+
+533
+00:37:12,250 --> 00:37:16,520
+جالو الطيارات خافوا من الطيارات قالوا جناح الطيارة
+
+534
+00:37:16,520 --> 00:37:19,860
+ما هو rod وغالبا بيسمعوا مني الألومنيوم مظبوط ولا
+
+535
+00:37:19,860 --> 00:37:24,700
+لا؟ الألومنيوم conductor قالوا هذا لو كان بيمشي بسرعة
+
+536
+00:37:24,700 --> 00:37:27,580
+كبيرة وطلع فرق جهود كبير معناته من الخاف على
+
+537
+00:37:27,580 --> 00:37:31,320
+شغلات كتيرة لذا عملوا حسابات بسيطة وشافوا قد إيش
+
+538
+00:37:31,320 --> 00:37:35,220
+بيكون حتى لو طيارة الكونكورد اللي بطلت تمشي اللي
+
+539
+00:37:35,220 --> 00:37:37,100
+زمان كانت تمشي وبطلوها إذا كنتوا عارفين كده
+
+540
+00:37:37,100 --> 00:37:41,710
+السرعة كانت تمشي بسرعة الصوت لأ كانت تعمل إزعاج
+
+541
+00:37:41,710 --> 00:37:46,030
+كانت عشان البيئة سكروها يعني ما كانش كل المطارات
+
+542
+00:37:46,030 --> 00:37:50,390
+تسمح لها تمشي لإنه إنزالها وإخراجها وإخراجها بدا
+
+543
+00:37:50,390 --> 00:37:55,910
+مشكلة يعني سرعة ضخمة وكان ممكن مطار كينيدي ومطار
+
+544
+00:37:55,910 --> 00:37:59,950
+عدة مطارات تسمح لهذه الطائرات كانت طبعًا في إلها
+
+545
+00:37:59,950 --> 00:38:04,720
+كتير ميزة إنه المسافة ما بين أوروبا وأمريكا اختصرت
+
+546
+00:38:04,720 --> 00:38:08,040
+إلى حد كبير لكن في الآخر برضه قبل منا كام سنة
+
+547
+00:38:08,040 --> 00:38:11,960
+ما أعرفش أنتوا أدركتوا أو ما دركتوش أنا ذاكر إن كانت
+
+548
+00:38:11,960 --> 00:38:15,840
+آخر رحلة لها وبعد كده قعدوها قعدوها بطلوا 
+
+549
+00:38:15,840 --> 00:38:23,450
+طيروها اتقعدت كانت طبعًا هي مشروع أوروبي فرنسي
+
+550
+00:38:23,450 --> 00:38:28,090
+بريطاني كان الصناعات في فرنسا كانت الأصل في الآخر
+
+551
+00:38:28,090 --> 00:38:32,350
+المهم قعدت لإن مشاكل بيئية كانت تعمل دوشة كبيرة
+
+552
+00:38:32,350 --> 00:38:35,790
+جدًا وبالتالي لازم المطار يكون فيش حوالي سكان من
+
+553
+00:38:35,790 --> 00:38:39,050
+مسافات طويلة عشان يسمحوا لها تروح فكثير من المطارات
+
+554
+00:38:39,050 --> 00:38:41,790
+خصوصًا في البلدان الصغيرة زي لما نقول مثلًا والله 
+
+555
+00:38:41,790 --> 00:38:47,450
+خلنا نقول مطار رفح تبعنا أدي مثال طب هو على بعد
+
+556
+00:38:47,450 --> 00:38:51,750
+يمكن نص متر نص كيلو فيه سكان ولا خلينا نقول موجة
+
+557
+00:38:51,750 --> 00:38:56,050
+صغيرة احنا دولنا العربية وحتى الدول الأوروبية لأ
+
+558
+00:38:56,050 --> 00:39:00,630
+أنت القاهرة مثلًا شوف مثلًا بيروت ولا شوف مثلًا
+
+559
+00:39:00,630 --> 00:39:03,830
+الدوحة ولا شوف المنامة ولا شوف الدوحة كلهم هم ما يقدروش
+
+560
+00:39:03,830 --> 00:39:07,290
+كلهم لكن في مثلًا في بعض المدن زي أمريكا مقارنة
+
+561
+00:39:07,290 --> 00:39:11,470
+أمريكا ممكن أحطه المطار تبعها ويكون أقرب سكان ممكن
+
+562
+00:39:11,470 --> 00:39:14,890
+يكون بعد خمسين كيلو يعني مثلًا اللي شاف مثلًا في جدة
+
+563
+00:39:14,890 --> 00:39:19,710
+المطار ال legitimate تبعهم تمشي عدة كيلومترات عشان تحس
+
+564
+00:39:19,710 --> 00:39:24,050
+إن فيه سكان لسه ففي مساحات لكن في المدن الصغيرة زي
+
+565
+00:39:24,050 --> 00:39:28,910
+بيروت ولا الدوحة ولا المنامة صغيرة حتى الدول
+
+566
+00:39:28,910 --> 00:39:32,030
+الأوروبية يعني الدول الأوروبية مشكلتها أغلبها
+
+567
+00:39:32,030 --> 00:39:36,810
+تفتقر إلى المساحات الواسعة يعني أنتوا عارفين أكبر
+
+568
+00:39:36,810 --> 00:39:39,090
+دولة أوروبية من حيث المساحة مين؟
+
+569
+00:39:42,940 --> 00:39:46,200
+مساحة فرنسا وأسبانيا فاعتقدوا من روسيا .. روسيا 
+
+570
+00:39:46,200 --> 00:39:48,520
+بالع
+
+601
+00:41:48,760 --> 00:41:53,980
+مقاومة الـ I تربيع في الـ R شباب بهذه الـ power اللي
+
+602
+00:41:53,980 --> 00:41:59,180
+تفقد هذه R من السفر نظريا سفر لكن هي إلا قيمة طبعا
+
+603
+00:41:59,180 --> 00:42:03,460
+لما تكون هذه طويلة هذه R لها قيمة معقولة بالتالي
+
+604
+00:42:03,460 --> 00:42:06,720
+طول ما أنت ماشي قاعد طاقة بتفقدها قالوا إيش يسوي
+
+605
+00:42:06,720 --> 00:42:11,700
+قالوا اعمل فرق جهود بتقلي الـ I بتعلي فرق الجهود
+
+606
+00:42:11,700 --> 00:42:16,850
+بتقلي الـ I بتقلي الـ I تربيع و تربحها بالجيل أكثر بقلي 
+
+607
+00:42:16,850 --> 00:42:20,430
+الفاقد فبالتالي بتساعد على أنك أنت لما تنقل التيار
+
+608
+00:42:20,430 --> 00:42:24,310
+من مكان لبعيد اعمل ضغط عالي بعدين بسيطة جيب الـ
+
+609
+00:42:24,310 --> 00:42:28,750
+Trans نزل الـ 220 يخش على البيوت الـ 220 لكن عشان
+
+610
+00:42:28,750 --> 00:42:31,670
+كده طبعا المعلومة اللي برضه لازم يعرفها المهندسين
+
+611
+00:42:31,670 --> 00:42:34,830
+الكهرباء أن الضغط العالي له limit لأنه إذا ازداد عن
+
+612
+00:42:34,830 --> 00:42:38,990
+حد معين الهواء اللي حوالينه بيتأين وإذا تأين صار
+
+613
+00:42:38,990 --> 00:42:41,250
+في خطر على كل الكائنات اللي حواليه يعني أن بصير
+
+614
+00:42:41,250 --> 00:42:44,440
+الطائر أول ما يتربح بيتكهرب وأنت إذا طلعت حاجة بلا 
+
+615
+00:42:44,440 --> 00:42:48,500
+كونه بتروح لأنه بيكون جنبك يعني واسألك مرات اللي 
+
+616
+00:42:48,500 --> 00:42:51,340
+ساكنين في الشوارع العامة خاطر الـ .. الضغط العالي
+
+617
+00:42:51,340 --> 00:42:53,520
+بيكون جنبك خصوصا إذا كانت ساكنة على التالت ولا
+
+618
+00:42:53,520 --> 00:42:56,760
+على الرابع بيكون جنبك بالتالي لازم يكون في حدود 
+
+619
+00:42:56,760 --> 00:43:00,640
+عندهم حد معين مايكونش قادر يأين الهواء اللي
+
+620
+00:43:00,640 --> 00:43:04,020
+حواليه فالضغط العالي معمول عشان هيك أن يقلل
+
+621
+00:43:04,020 --> 00:43:07,700
+الفاقد بس ما بديش هنا أموت الناس بديكون في حسابات
+
+622
+00:43:07,700 --> 00:43:13,730
+كتيرة في هذه القضية هذه هذا مثال قال لك هذه بتشبه
+
+623
+00:43:13,730 --> 00:43:16,690
+إيش؟ قال لي الـ helicopter بتعرفوها؟ تجاه الـ
+
+624
+00:43:16,690 --> 00:43:19,890
+helicopter مش هو عبارة عن جناح بيلف قال لي خليني 
+
+625
+00:43:19,890 --> 00:43:23,430
+أشوف إيش بدي تولد فرق جهد بين طرفي الجراح الـ ..
+
+626
+00:43:23,430 --> 00:43:26,010
+طبعا الهواء لو اللي بيلف برضه لو إن مجال
+
+627
+00:43:26,010 --> 00:43:29,290
+المغناطيسي على العرض كبير بيصير بتتكهرب الهواء
+
+628
+00:43:29,290 --> 00:43:33,330
+لأنهم بيبتدئ يتحرك في مجال مغناطيسي وكل حاجة بتتحرك
+
+629
+00:43:33,330 --> 00:43:36,830
+في مجال مغناطيسي ويكون في فرق جهد بس طبعا نحوصنا
+
+630
+00:43:36,830 --> 00:43:40,140
+حد أن فرق الجهد بيكون ضعيف جدا بيصير يتعرضوا 
+
+631
+00:43:40,140 --> 00:43:44,900
+معاها وبيكونوا أقل يعني الجهد اللي بيكون اتولد 
+
+632
+00:43:44,900 --> 00:43:48,220
+مرات أقل من جهد حجر الراديو خصوصا لما يكون
+
+633
+00:43:48,220 --> 00:43:52,360
+الهواء الطيارة يدوب اللي بسرعة كبيرة فكيف الهواء 
+
+634
+00:43:52,360 --> 00:43:55,800
+اللي بتكون سرعتها عالية بيقول هنا conducting bar
+
+635
+00:43:55,800 --> 00:43:59,300
+of length L rotates with a constant angular speed
+
+636
+00:43:59,300 --> 00:44:03,260
+omega about one inch يعني هذا بيلف شباب زي ما
+
+637
+00:44:03,260 --> 00:44:07,440
+حكينا هذا جناح من جناحين الهواية أو جناح من جناحين
+
+638
+00:44:07,440 --> 00:44:11,360
+طيارة الهيلوكابتر أنا انفضت من هنا وانفضت من هنا
+
+639
+00:44:11,360 --> 00:44:16,060
+وانفضت من هنا وانفضت من هنا في حركة وهذا conductor
+
+640
+00:44:16,060 --> 00:44:20,820
+وفي مجال مغناطيسي إذا بدي يكون فيه عندي اثنين 
+
+641
+00:44:20,820 --> 00:44:23,340
+القانون اللي موجود عندنا لإن بديش أننا نضمن نشتاق 
+
+642
+00:44:23,340 --> 00:44:27,940
+القانون هذا هو P L في V طبقه وطلع a uniform
+
+643
+00:44:27,940 --> 00:44:29,980
+magnetic field is perpendicular to the plane of
+
+644
+00:44:29,980 --> 00:44:32,640
+rotation what is the potential difference induced
+
+645
+00:44:32,640 --> 00:44:35,520
+between the end of the bar بقول يا أوجد الفرق 
+
+646
+00:44:35,520 --> 00:44:41,250
+الجهود بين طرفي هذه السلكة solution طبعا هنا 
+
+647
+00:44:41,250 --> 00:44:45,410
+بيقول لي أنت هى قانونك بي ال في بي بيكتر أجيبها 
+
+648
+00:44:45,410 --> 00:44:52,270
+بي بتساوي أومجا في ر ولا لا مش بي بتساوي أومجا في ر كم
+
+649
+00:44:52,270 --> 00:44:56,470
+هي أومجا في ر ال قالوا الـ موضحي يا ال الوشكلة وين
+
+650
+00:44:56,470 --> 00:45:02,350
+شباب المشكلة في R إيش عاوز عن R ليش نص طول السلك؟ 
+
+651
+00:45:02,350 --> 00:45:06,590
+طب أنا من هنا لمركز الدوران هان ولا هان ولا هان
+
+652
+00:45:06,590 --> 00:45:09,970
+ولا هان ولا هان؟ مازالتي تأخد نص لأن أنا مقدر أش 
+
+653
+00:45:09,970 --> 00:45:13,050
+حاط أعرش قيمته بيقول it is clear that V is not
+
+654
+00:45:13,050 --> 00:45:17,090
+constant V is not constant along the length of the
+
+655
+00:45:17,090 --> 00:45:20,870
+bar احنا اتفقنا في الحركة الدورانية Omega وAlpha
+
+656
+00:45:20,870 --> 00:45:25,760
+بتكون ثوابت ولكن V وA بتتغير من نقطة لنقطة إذا V ليس
+
+657
+00:45:25,760 --> 00:45:29,020
+مستمر على طول طول البر، يجب أن نقسم البر إلى أشياء
+
+658
+00:45:29,020 --> 00:45:33,060
+صغيرة، كلها بطول dR، خذ هذا العنصر، الأحمر، جيه
+
+659
+00:45:33,060 --> 00:45:35,440
+فرق الجهد بين طرفينه، وبعدين كامل بيجيه فرق الجهد
+
+660
+00:45:35,440 --> 00:45:39,980
+بين طرفي الرد الأصفر كله، تمام، بيقول لي هذه سرعتها
+
+661
+00:45:39,980 --> 00:45:44,900
+V بلف فيه، تمام، الان عبر واحد من هذه الأشياء،
+
+662
+00:45:44,900 --> 00:45:51,250
+جيب dV عشان العنصر بتساوي الـ V بي في دي R طوله دي R
+
+663
+00:45:51,250 --> 00:45:56,590
+V بتساوي Omega في R هجيب دي R بقول هي R عادي أنا عندي
+
+664
+00:45:56,590 --> 00:46:01,250
+عنصر هي R ما فيش مشكلة تبقى بقول integrate to find
+
+665
+00:46:01,250 --> 00:46:04,450
+the N في أقرب غبارة كامل طبعا أنا بدي كامل من صفر
+
+666
+00:46:04,450 --> 00:46:08,510
+لL لأن هي دي R هي أول عنصر بتكون صفر وهي آخر عنصر
+
+667
+00:46:08,510 --> 00:46:14,650
+بيكون L تملتها طلع بنص بي Omega في L تربيع هي طول
+
+668
+00:46:14,650 --> 00:46:19,690
+عيد عندي الـ V لأي road بيمشي طبعا زي ما حكينا أنه 
+
+669
+00:46:19,690 --> 00:46:25,030
+هذه بيه لو كانت تبع الكرة الأرضية وهذه omega جد ما
+
+670
+00:46:25,030 --> 00:46:28,310
+تكون تكون وهذه طول أي كان متر ولا اثنين متر ولا 
+
+671
+00:46:28,310 --> 00:46:32,230
+ثلاثة متر بدل فرق الجهد هيكون قليل جدا لأن زي ما
+
+672
+00:46:32,230 --> 00:46:36,030
+حكى زميلكم هذه بيه أصلا بالجاوس والجاوس عشرة أس
+
+673
+00:46:36,030 --> 00:46:41,530
+سالب أربعة تسلا فهي صغيرة أصلا بيه تبع قوة الجاذبية
+
+674
+00:46:41,530 --> 00:46:42,790
+الأرضية 
diff --git a/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_raw.json b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..509a7eb6d462bae267ed2f3a44fc0ae327e4d5c1
--- /dev/null
+++ b/PL9fwy3NUQKwZKGKQcBBh_EqzcSf8Vs2Gw/tj773nsmkEY_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2230, "start": 9.88, "end": 22.3, "text": "بنسمي باسم الله ونبدأ ال chapter التاسع اللي تحت عنوان paradise law شباب طبعا قانون paradise من قوانين جدا مهمة في التقبيقات يعني من أهم قوانين الكهربا هو قانون paradise", "tokens": [3555, 1863, 38251, 1829, 4724, 32277, 2304, 21984, 4032, 1863, 44510, 10721, 2423, 7187, 16712, 32277, 3615, 13672, 1829, 6055, 33753, 18871, 2407, 7649, 25919, 2101, 13412, 3555, 16758, 23032, 3555, 3615, 995, 12174, 7649, 11536, 25919, 9154, 12174, 2407, 7649, 9957, 10874, 28259, 3714, 16095, 3660, 8978, 16712, 4587, 21292, 4587, 9307, 37495, 22653, 9154, 5551, 16095, 12174, 2407, 7649, 9957, 33251, 3224, 25513, 995, 31439, 12174, 7649, 11536, 25919], "avg_logprob": -0.22634548424846596, "compression_ratio": 1.6467065868263473, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 9.88, "end": 10.56, "word": "بنسمي", "probability": 0.476348876953125}, {"start": 10.56, "end": 10.84, "word": " باسم", "probability": 0.6598307291666666}, {"start": 10.84, "end": 11.1, "word": " الله", "probability": 0.9794921875}, {"start": 11.1, "end": 11.56, "word": " ونبدأ", "probability": 0.8863525390625}, {"start": 11.56, "end": 11.64, "word": " ال", "probability": 0.10107421875}, {"start": 11.64, "end": 11.94, "word": " chapter", "probability": 0.375244140625}, {"start": 11.94, "end": 12.9, "word": " التاسع", "probability": 0.9840494791666666}, {"start": 12.9, "end": 13.88, "word": " اللي", "probability": 0.728759765625}, {"start": 13.88, "end": 14.22, "word": " تحت", "probability": 0.98876953125}, {"start": 14.22, "end": 14.72, "word": " عنوان", "probability": 0.9777018229166666}, {"start": 14.72, "end": 15.26, "word": " paradise", "probability": 0.77197265625}, {"start": 15.26, "end": 15.56, "word": " law", "probability": 0.912109375}, {"start": 15.56, "end": 15.9, "word": " شباب", "probability": 0.8401692708333334}, {"start": 15.9, "end": 16.18, "word": " طبعا", "probability": 0.9197998046875}, {"start": 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الكهربا", "probability": 0.989501953125}, {"start": 21.64, "end": 21.78, "word": " هو", "probability": 0.92138671875}, {"start": 21.78, "end": 22.02, "word": " قانون", "probability": 0.84765625}, {"start": 22.02, "end": 22.3, "word": " paradise", "probability": 0.8984375}], "temperature": 1.0}, {"id": 2, "seek": 5246, "start": 24.1, "end": 52.46, "text": "البروبلينز هي معروفة ونبدأ نشوف ايش عمل فرداي طبعا فرداي اكتسف الظاهرة by chance اكتسف الظاهرة by chance كان بيشغل في المعمل لقى الشغل قاعد عنده بتصير وبدأ يفسر فيها ايش هي الظاهرة فرداي's law of induction قانون فرداي طبعا قانون فرداي عمل انقلاب برضه في التكنولوجيا هي الكهربا من قانون فرداي وعد كل الكهربا دي أصلها قانون فرداي", "tokens": [6027, 26890, 37746, 1211, 9957, 11622, 39896, 20449, 32887, 5172, 3660, 4032, 1863, 44510, 10721, 8717, 8592, 38688, 1975, 1829, 8592, 6225, 42213, 6156, 2288, 3215, 47302, 23032, 3555, 3615, 995, 6156, 2288, 3215, 47302, 1975, 4117, 2655, 3794, 5172, 6024, 116, 40294, 25720, 538, 2931, 1975, 4117, 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واحدة تانية فسموها ال volt ampere طبعا كلكم عارفين انه لما احنا نقول ال generator طبعنا خليني نقول تلاتة كيلو بتقدروا تطلعوا تلاتة كيلو منه؟ لأ بالتالي يكون لازم اضغطها في 0.8 غالبا اللي هي factor power", "tokens": [6027, 995, 4117, 2655, 2288, 4724, 995, 13063, 2423, 957, 1347, 6225, 8592, 7649, 7251, 2304, 1829, 11622, 14407, 4724, 1829, 11296, 4032, 7251, 39648, 14407, 16490, 1211, 14407, 23758, 2423, 2407, 38149, 29739, 2407, 9640, 12602, 46958, 1829, 36764, 24401, 3660, 6055, 7649, 10632, 6156, 38251, 2407, 11296, 2423, 5962, 18648, 323, 23032, 3555, 3615, 995, 28242, 24793, 6225, 9640, 5172, 9957, 16472, 3224, 5296, 15042, 1975, 5016, 8315, 8717, 39648, 2423, 19265, 23032, 3555, 3615, 8315, 16490, 1211, 9957, 1829, 8717, 39648, 6055, 1211, 9307, 3660, 9122, 26895, 2407, 39894, 28543, 2288, 14407, 6055, 9566, 1211, 3615, 14407, 6055, 1211, 9307, 3660, 9122, 26895, 2407, 9154, 3224, 22807, 5296, 10721, 20666, 2655, 6027, 1829, 7251, 30544, 5296, 31377, 2304, 1975, 11242, 17082, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/2__gojdcGsw_raw.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/2__gojdcGsw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a5246ff263bf31e94fb99443729571a530f9be6e
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/2__gojdcGsw_raw.srt
@@ -0,0 +1,1564 @@
+1
+00:00:04,940 --> 00:00:07,660
+بسم الله الرحمن الرحيم الحمد لله رب العالمين
+
+2
+00:00:07,660 --> 00:00:10,500
+والصلاة والسلام على سيدنا محمد وعلى آله وصحبه
+
+3
+00:00:10,500 --> 00:00:17,340
+أجمعين هذه هي المحاضرة رقم 23 في مساق تحليل حقيقة
+
+4
+00:00:17,340 --> 00:00:22,200
+نيل طلاب وطالبات الجامعة الإسلامية قسم الرياضيات
+
+5
+00:00:22,200 --> 00:00:27,900
+كلية العلومالمحاضرة اللي هي اليوم هي عبارة عن
+
+6
+00:00:27,900 --> 00:00:33,180
+تكملة ل section تمانية تلاتة الجزء الثاني من .. من
+
+7
+00:00:33,180 --> 00:00:36,580
+.. من هذا .. اللي هو ال chapter الجزء الأول من هذا
+
+8
+00:00:36,580 --> 00:00:39,320
+ال section الجزء الأول اتحدثنا عن ال exponential
+
+9
+00:00:39,320 --> 00:00:44,670
+function وكيف أثبتنا وجودهاواخدنا خواصها الآن بدنا
+
+10
+00:00:44,670 --> 00:00:47,910
+نحكي عن الجزء التاني من اللي هو ال section اللي هو
+
+11
+00:00:47,910 --> 00:00:51,050
+ال logarithmic function ال logarithmic function
+
+12
+00:00:51,050 --> 00:00:55,290
+اللي هو نشوف كيف بدنا نثبت وجودها وكيف اللي هو
+
+13
+00:00:55,290 --> 00:01:00,410
+ناخد خواصها بنفس البناء اللي أو نبنع البناء اللي
+
+14
+00:01:00,410 --> 00:01:05,820
+بنناه المحاضرة الماضيةالان لما حكينا عن ال
+
+15
+00:01:05,820 --> 00:01:10,020
+exponential function E لجينا ان ال exponential E
+
+16
+00:01:10,020 --> 00:01:12,780
+is strictly increasing differentiable function
+
+17
+00:01:12,780 --> 00:01:18,160
+with domain R and range اللي هو Y أكبر من 0 يعني
+
+18
+00:01:18,160 --> 00:01:22,480
+لما حكينا عن ال E حكينا عن ال E من R اللي هي ال
+
+19
+00:01:22,480 --> 00:01:26,600
+exponential لعند الفترة 0 و مالا نهاية هذه ال
+
+20
+00:01:26,600 --> 00:01:31,560
+function هي rangeها و هي domainها و كانت strictly
+
+21
+00:01:31,560 --> 00:01:35,700
+increasingStrictly increasing معناته اللي هو عبارة
+
+22
+00:01:35,700 --> 00:01:40,020
+عن 120 يعني بمعنى أخر في إلها ال function هذه on
+
+23
+00:01:40,020 --> 00:01:43,940
+two وكانت differentiable الآن ال function اللي هي
+
+24
+00:01:43,940 --> 00:01:46,840
+ال exponential طبعا ما أنتوا عارفين كيف رسمتها لو
+
+25
+00:01:46,840 --> 00:01:50,460
+جينا جربنا نرسمها هنلاقي الرسمة اللي هو هذه اللي
+
+26
+00:01:50,460 --> 00:01:56,180
+هي عبارة عن رسمة ال exponentialالان انا بدى اجى
+
+27
+00:01:56,180 --> 00:02:00,300
+اللى هو من خلال اللى هو ال function ال exponential
+
+28
+00:02:00,300 --> 00:02:05,980
+اعرف ال inverse لها واسميه اللى هو logarithmic
+
+29
+00:02:05,980 --> 00:02:10,860
+function او بدى اسميه ال logarithm الطبيعى اللى هى
+
+30
+00:02:10,860 --> 00:02:16,020
+ال len functionمشروع الكلام اه لإن ايه عبارة عن
+
+31
+00:02:16,020 --> 00:02:19,240
+function one to one و one to Hana إذا صار ال
+
+32
+00:02:19,240 --> 00:02:23,580
+inverse لها موجود لإنها strictly increasing إذا
+
+33
+00:02:23,580 --> 00:02:29,560
+صار ال L من عند zero و مالة نهاية لعند ال R هادي
+
+34
+00:02:29,560 --> 00:02:34,100
+اللي هيالـ function الجديدة هي اللي بدي أسميها الـ
+
+35
+00:02:34,100 --> 00:02:38,320
+logarithmic function وهي رسمتها اللي أمامنا اللي
+
+36
+00:02:38,320 --> 00:02:42,460
+هي ال inverse لهذه الدالة اللي بدي أعرفها الآن
+
+37
+00:02:42,460 --> 00:02:47,000
+وتعريف الآن صار شرعي بناء على وجود ال exponential
+
+38
+00:02:47,000 --> 00:02:50,930
+اللي بدي أعرفه اللي هو ال inverse سبعتهاالعمل
+
+39
+00:02:50,930 --> 00:02:57,030
+المعرفي للـ E هو
+
+40
+00:02:57,030 --> 00:03:02,850
+الـ Logarithm أو الـ Nature Logarithm اللي هي It
+
+41
+00:03:02,850 --> 00:03:07,870
+will be denoted by L or by Lin الأكتر شيوعا طبعا
+
+42
+00:03:07,870 --> 00:03:11,810
+اللي هو مين الـ Lin لأن بما أن الـ E و L انفرس
+
+43
+00:03:11,810 --> 00:03:17,110
+لبعض إذا أكيد الـ E composite L composite E of X
+
+44
+00:03:17,110 --> 00:03:22,920
+هيساوي الـ Xلكل الـ x و اللي موجودة في الـ R لأن
+
+45
+00:03:22,920 --> 00:03:26,540
+الـ E بتشتغل على كل الإكسات اللي في الـ R لأن
+
+46
+00:03:26,540 --> 00:03:30,740
+بينما E composite L of Y E composite L of Y الـ L
+
+47
+00:03:30,740 --> 00:03:34,660
+بتشتغل .. بتشتغل مين على مين بس على الـ positive E
+
+48
+00:03:34,660 --> 00:03:38,240
+composite L of Y بيساوي لكل Y element in R و Y
+
+49
+00:03:38,240 --> 00:03:44,900
+أشملها أكبر من 0الان connotations .. connotations
+
+50
+00:03:44,900 --> 00:03:49,860
+بناء عليه الـ N الـ E of X لأن الـ N هي الـ L والـ
+
+51
+00:03:49,860 --> 00:03:53,880
+E هي الـ E وعندي الـ E to the N اللي هو بسوء الـ Y
+
+52
+00:03:53,880 --> 00:03:57,780
+وهو بسوء الـ X بناء على أن الواحدة inverse للتانية
+
+53
+00:04:01,010 --> 00:04:04,750
+أو كل واحدة inverse للاخرى الـ logarithm is a
+
+54
+00:04:04,750 --> 00:04:08,630
+strictly increasing function L with domain اللي هو
+
+55
+00:04:08,630 --> 00:04:12,150
+مين اللي هو ال domain اللي عندي اللي هو تعرفنا هيك
+
+56
+00:04:12,150 --> 00:04:16,210
+أصلا الان ال derivative of L is given by L prime
+
+57
+00:04:16,210 --> 00:04:19,750
+of X ايش بتساوي واحدة ل X for X أكبر من سفر الان
+
+58
+00:04:19,750 --> 00:04:23,430
+ال logarithm satisfy the functional equation تحقق
+
+59
+00:04:23,430 --> 00:04:27,010
+المعادلة الدالية التالية اللي هي L of X في Y بساوي
+
+60
+00:04:27,010 --> 00:04:31,000
+L of X زائد LL of Y for X أكبر من سفر Y أكبر من
+
+61
+00:04:31,000 --> 00:04:34,560
+سفر Y أكبر
+
+62
+00:04:34,560 --> 00:04:38,260
+من سفر
+
+63
+00:04:38,260 --> 00:04:40,560
+Y أكبر من سفر Y أكبر من سفر Y أكبر من سفر Y أكبر
+
+64
+00:04:40,560 --> 00:04:40,580
+من سفر Y أكبر من سفر Y أكبر من سفر Y أكبر من سفر Y
+
+65
+00:04:40,580 --> 00:04:40,640
+أكبر من سفر Y أكبر من سفر Y أكبر من سفر Y أكبر من
+
+66
+00:04:40,640 --> 00:04:40,700
+سفر Y أكبر من سفر Y أكبر من سفر Y أكبر من سفر Y
+
+67
+00:04:40,700 --> 00:04:40,700
+أكبر من سفر Y أكبر من سفر Y أكبر من سفر Y أكبر من
+
+68
+00:04:40,700 --> 00:04:41,020
+سفر Y أكبر من سفر Y أكبر من سفر Y أكبر من سفر Y
+
+69
+00:04:41,020 --> 00:04:47,140
+أكبر من سفر Y أكبر من سفر Y أكبر من سفر Y أكبرL of
+
+70
+00:04:47,140 --> 00:04:51,420
+XR بيساوي R لL of X لإن X أكبر من 0 وR المتر كيوه
+
+71
+00:04:51,420 --> 00:04:54,840
+كلهن اللي هي خواص انتوا بتعرفوهم قبل هيك بس الآن
+
+72
+00:04:54,840 --> 00:04:58,440
+بدنا نبرهنهم و نثبت صحتهم limit L of X لما X تروح
+
+73
+00:04:58,440 --> 00:05:01,740
+لـ0 من اليمين بساوي سالب infinity and limit L of X
+
+74
+00:05:01,740 --> 00:05:07,340
+لما X تروح لمال النهاية بتساوي مال النهاية خلينا
+
+75
+00:05:07,340 --> 00:05:14,840
+احنا نشوف نبرهن اللي هي اللي مطلوبالأن الـ L is
+
+76
+00:05:14,840 --> 00:05:17,560
+strictly increasing with domain X element alone
+
+77
+00:05:17,560 --> 00:05:20,880
+and range R follows from the fact that E is
+
+78
+00:05:20,880 --> 00:05:24,840
+strictly increasing with domain R and range اللي
+
+79
+00:05:24,840 --> 00:05:33,320
+هو اللي عندي الان عندي ال L is strictly increasing
+
+80
+00:05:33,320 --> 00:05:37,560
+بناء على مين على ال E نفسها strictly increasing
+
+81
+00:05:37,560 --> 00:05:48,560
+الان EComposite L E Composite L of Y ايش بتساوي؟ Y
+
+82
+00:05:48,560 --> 00:05:55,320
+لكل Y وY الموجودة لكل Y element in سفر وملا نهاية،
+
+83
+00:05:55,320 --> 00:06:00,780
+مظبوط؟ الان فاضلول الجهتين الان طبعا احنا بنعرف
+
+84
+00:06:00,780 --> 00:06:06,360
+انه من الاصل مدامة ال E isاللي هو differentiable
+
+85
+00:06:06,360 --> 00:06:10,480
+أكيد اللي هي ال inverse إلها is differentiable by
+
+86
+00:06:10,480 --> 00:06:14,680
+theorem 6 9 كده مش عارف إيش في اللي هو chapter 6
+
+87
+00:06:14,680 --> 00:06:18,200
+قدامة ال function اللي هي is differentiable ال
+
+88
+00:06:18,200 --> 00:06:20,880
+inverse إلها برضه is differentiable في حالة وجودها
+
+89
+00:06:20,880 --> 00:06:27,480
+الآن E فاضل الجهتين بيصير عندي E prime of L of Y
+
+90
+00:06:27,480 --> 00:06:36,600
+فL prime of Y بساوي إيش واحد ماشي الحال الآنواضح
+
+91
+00:06:36,600 --> 00:06:41,900
+أن هذا حاصل الضرب صار أكبر من مين strictly من 0
+
+92
+00:06:41,900 --> 00:06:47,920
+وبما أن الـ E is strictly increasing أثبتنا E' of
+
+93
+00:06:47,920 --> 00:06:53,420
+L of Y is strictly أكبر من 0 إذا بيظلها L' of Y is
+
+94
+00:06:53,420 --> 00:06:57,180
+strictly أكبر من 0 لكل Y هنا إذا صارت الـ L is
+
+95
+00:06:57,180 --> 00:07:02,740
+strictly increasingالان طبعا ال domain مدام ان هذه
+
+96
+00:07:02,740 --> 00:07:07,000
+ال inverse ل ال E ال domain اللي هو ال inverse هو
+
+97
+00:07:07,000 --> 00:07:11,380
+range ال function الأصلية و بيصير sub wave في
+
+98
+00:07:11,380 --> 00:07:18,460
+الفئر اذا الان احنا اثبتنا ان ال is strictly
+
+99
+00:07:18,460 --> 00:07:23,530
+increasingالان و rangeها اللي هو صار domain اللي
+
+100
+00:07:23,530 --> 00:07:28,310
+هو او range اللي هو ال .. هذي اللي صار domainها
+
+101
+00:07:28,310 --> 00:07:32,990
+domain ال L و هذي صارت اللي هو range ال L زي ما
+
+102
+00:07:32,990 --> 00:07:37,330
+قلنا قبل بشوية او عندي الان بدنا نثبت اللي هو
+
+103
+00:07:37,330 --> 00:07:42,070
+الجزء الثاني من النظرية خليني نكتب هنا عشان نتذكر
+
+104
+00:07:42,070 --> 00:07:48,430
+ايش اللي بدنا نثبته الان بدنا نثبت اين أثبتنا
+
+105
+00:07:48,430 --> 00:07:54,230
+الأولىاللي فى النص بتقلّى prime of X اللى نكتبهن
+
+106
+00:07:54,230 --> 00:07:59,330
+اللى بدنا نثبتهن عشان نتذكرهن
+
+107
+00:07:59,330 --> 00:08:12,240
+قلّى prime I او VIII قلّى primeof X بسوة واحدة ل X
+
+108
+00:08:12,240 --> 00:08:19,680
+اتنين اللي هو L of XY بسوة L X زائد L Y طبعا ال Y
+
+109
+00:08:19,680 --> 00:08:25,780
+هناك ال L of واحد بسوة سفر L of E بسوة واحد كلهم
+
+110
+00:08:25,780 --> 00:08:34,440
+بسيطاتL prime L of X to the R سوى R L of X و Limit
+
+111
+00:08:34,440 --> 00:08:39,720
+L of X لما X تروح إلى Zero من اليمين سوى سالب لما
+
+112
+00:08:39,720 --> 00:08:45,140
+لنهاية و Limit لL of X لما X تروح إلى ما لنهاية
+
+113
+00:08:45,140 --> 00:08:48,520
+سوى ما لنهاية خلّيني أشوف أن دول على السريع فانوا
+
+114
+00:08:48,520 --> 00:08:53,640
+كلها شغلات يعني بأعتقد أنه سهل أنك نثبتها
+
+115
+00:08:55,730 --> 00:09:02,210
+عندي لأن زي ما عملت قبل بشوية اللي هو لما فضلت هذه
+
+116
+00:09:02,210 --> 00:09:07,290
+تفاضله E composite L of X لما عملتها قبل بشوية
+
+117
+00:09:07,290 --> 00:09:14,250
+اللي هي كانت عندي هين أعمل E composite L of X الكل
+
+118
+00:09:14,250 --> 00:09:19,370
+اللي هي بساوي ال X فاضل هذا يصير E prime
+
+119
+00:09:26,060 --> 00:09:29,100
+بنسبة لـ x أقل الـ prime of x
+
+120
+00:09:34,780 --> 00:09:40,160
+اللي هو واحد على الـ E prime of L of X إذا الـ E
+
+121
+00:09:40,160 --> 00:09:44,300
+القلي برايم of X بيساوي واحد على E prime composite
+
+122
+00:09:44,300 --> 00:09:48,340
+L of X والـ E prime هي نفس الـ E زي ما قلنا إذا
+
+123
+00:09:48,340 --> 00:09:51,140
+بيصير واحد على E composite L of X إلى ال E
+
+124
+00:09:51,140 --> 00:09:54,640
+composite L of X زي ما قلنا إيش بتساوي بساوي X
+
+125
+00:09:54,640 --> 00:09:57,660
+فبساوي واحد على X فالقلي برايم بيساوي واحد على X
+
+126
+00:09:57,660 --> 00:10:02,910
+لكل X في الموجودة في الفترة Zeroو 1 نيجي الآن نشوف
+
+127
+00:10:02,910 --> 00:10:06,710
+اللي هي اللي بعدها الخاصية اللي بعدها خلّينا نثبت
+
+128
+00:10:06,710 --> 00:10:12,690
+اللي هو L of X في Y بسوا L of X زائد مين زائد L of
+
+129
+00:10:12,690 --> 00:10:17,270
+Y برضه الإثبات سهل وانتبهوا معايا وسهلس عندى الآن
+
+130
+00:10:24,240 --> 00:10:27,240
+F X أكبر من صفر Y أكبر من صفر F X أكبر من صفر Y
+
+131
+00:10:27,240 --> 00:10:27,740
+أكبر من صفر F X أكبر من صفر Y أكبر من صفر F X أكبر
+
+132
+00:10:27,740 --> 00:10:27,900
+من صفر F X أكبر من صفر F X أكبر من صفر F X أكبر من
+
+133
+00:10:27,900 --> 00:10:28,100
+صفر F X أكبر من صفر F X أكبر من صفر F X أكبر من
+
+134
+00:10:28,100 --> 00:10:28,700
+صفر F X أكبر من صفر F X أكبر من صفر F X أكبر من
+
+135
+00:10:28,700 --> 00:10:28,920
+صفر F X أكبر من صفر F X أكبر من صفر F X أكبر من
+
+136
+00:10:28,920 --> 00:10:32,100
+صفر F X أكبر من صفر F X أكبر من صفر F X أكبر من
+
+137
+00:10:32,100 --> 00:10:43,400
+صفر F X أكبر من صفر F X أكبر من صفر F X
+
+138
+00:10:43,400 --> 00:10:51,850
+أكبر من صفر F Xلأن الـ E والـ L انفرسة بعض الان من
+
+139
+00:10:51,850 --> 00:10:55,130
+الخاصية تبع الـ exponential بدنا نصل لمن؟ لل
+
+140
+00:10:55,130 --> 00:11:00,970
+logarithmic إذا أضرب ل X في Y بيطلع عند X في Y
+
+141
+00:11:00,970 --> 00:11:05,190
+بتساوي E of U في E of V E of U في E of V إيش
+
+142
+00:11:05,190 --> 00:11:10,010
+بتساوي؟ E of U زائد V أثبتناها إذا من هذا الكلام
+
+143
+00:11:10,970 --> 00:11:15,270
+خُد الـ L للجهتين لإنه اللي هي ال inverse لبعض
+
+144
+00:11:15,270 --> 00:11:20,450
+بيصير عندي L of X في Y بساوي L of E of U زائد V
+
+145
+00:11:20,450 --> 00:11:24,410
+اللي هي إيش بتساوي U زائد V U اللي هي عبارة عن L
+
+146
+00:11:24,410 --> 00:11:30,750
+of X و V عبارة عن L of Y إذا أثبتت L of X زائد X
+
+147
+00:11:30,750 --> 00:11:39,370
+في Y بساوي L of X زائد L of Yالان عندى اللى هى E
+
+148
+00:11:39,370 --> 00:11:47,050
+of Zero بيساوي واحد خدلى ال L الجهتين بيصير ZL of
+
+149
+00:11:47,050 --> 00:11:53,010
+E of Zero بيساوي L of واحد ال L of E of Zero هدك
+
+150
+00:11:53,010 --> 00:11:59,450
+inverse التانية بيساوي Zero نفس الاشيالـ L of E of
+
+151
+00:11:59,450 --> 00:12:07,270
+1 بيساوي L of E، مظبوط؟ الـ L of E of 1 بيساوي 1،
+
+152
+00:12:07,270 --> 00:12:12,230
+بيصير L of E بيساوي 1 بيصير أثبتنا L of E بيساوي 1
+
+153
+00:12:12,230 --> 00:12:19,730
+و L of 1 بيساوي 0 وهذا الكلام كلام سهل، طيب بيصير
+
+154
+00:12:19,730 --> 00:12:23,710
+علاقة أنه سهل اللي بنحكيه، الآن
+
+155
+00:12:27,210 --> 00:12:32,730
+نأتي نثبت اللي هو اللي هي L of X to the R بساوة
+
+156
+00:12:32,730 --> 00:12:37,010
+Zero بساوة R في L of X هذه برضه بقاش By
+
+157
+00:12:37,010 --> 00:12:41,910
+Mathematical Induction عملناها قبل هيكة باللي هو
+
+158
+00:12:41,910 --> 00:12:47,330
+ال section اللي جابله أو اللي هو ال exponential
+
+159
+00:12:47,330 --> 00:12:52,830
+على السريع نشوف التفاصيل لإنه التفاصيل معادة
+
+160
+00:13:07,050 --> 00:13:11,430
+التفاصيل هتلاجوها معادة فخليني بسرعة نمر عليها
+
+161
+00:13:11,430 --> 00:13:17,730
+عندي we show by induction L of X بسوا L L of X زي
+
+162
+00:13:17,730 --> 00:13:21,850
+ما قلنا عشان لثبتها هذه أثبتنا اللي قبل بشوية L of
+
+163
+00:13:21,850 --> 00:13:27,190
+X عارفش الرزوم أصلا أفصل ولا لأ لكن بدي أفصل لو
+
+164
+00:13:27,190 --> 00:13:32,790
+أنتوا عندى لو اتفجنا أن نفصل ولا لأ L of X في Y
+
+165
+00:13:32,790 --> 00:13:39,580
+بسوا L of X في L of Yof x was n بساوي n في L of x
+
+166
+00:13:39,580 --> 00:13:44,060
+طبعا for n بتساوي واحد اللي هي a trivial نفترض
+
+167
+00:13:44,060 --> 00:13:48,180
+أنها صحيحة ل L ل n بتساوي k بيصير L of x was k
+
+168
+00:13:48,180 --> 00:13:53,080
+بساوي k L of x الآن بدنا نحسب ل L of x was k زائد
+
+169
+00:13:53,080 --> 00:13:59,480
+واحد اللي هي بساوي L of x was k في xهذه الـ L لها
+
+170
+00:13:59,480 --> 00:14:04,760
+حسب اللي هي الخاصية هذه بسوء L الأولى X plus K في
+
+171
+00:14:04,760 --> 00:14:09,860
+L التاني L of X اللي هو مفترض إنها صحيحة على K ده
+
+172
+00:14:09,860 --> 00:14:19,600
+بسوء K في L of X آسف زائد هذه بسوء K L of Xلأنها
+
+173
+00:14:19,600 --> 00:14:26,400
+صحيحة لـ K زائد L of X ويساوي K زائد واحد في L of
+
+174
+00:14:26,400 --> 00:14:31,520
+X إذا صارت هذه صحيحة اللي هي L ل K زائد واحد إذا
+
+175
+00:14:31,520 --> 00:14:36,760
+صارت صحيحة لكل من لكل N element in N حسب اللي هو
+
+176
+00:14:36,760 --> 00:14:43,080
+ال induction اللي بنحكي فيه إذا الأن أثبتنا أن L
+
+177
+00:14:43,080 --> 00:14:49,710
+of X هو N لL of X لكل اللي هي عنديالان by VI اللي
+
+178
+00:14:49,710 --> 00:14:53,530
+هو زي .. مشابه للي حكيناها قبل بشوية بالظبط في حد
+
+179
+00:14:53,530 --> 00:14:58,890
+ال exponential بس خليني مش وشكلة بتعيده الان شوف L
+
+180
+00:14:58,890 --> 00:15:03,680
+of XM minus M أيش بتساوي؟ L of واحداللي هي لأن هذا
+
+181
+00:15:03,680 --> 00:15:05,860
+X هو السفر اللي هي L of واحد L of واحد مش قولنا
+
+182
+00:15:05,860 --> 00:15:11,040
+عنها سفر هو يسوى L of XM في XM minus واحد ال
+
+183
+00:15:11,040 --> 00:15:16,300
+logarithmic بطلح انجمع L of XM زائد L of X minus M
+
+184
+00:15:16,300 --> 00:15:21,920
+لأن هذه أثبتناها عبارة عن M L of X زائدL of X
+
+185
+00:15:21,920 --> 00:15:27,500
+minus M صار عندي الان M في L of X زائد L of X
+
+186
+00:15:27,500 --> 00:15:32,040
+minus M بسوا سفر انجلي هذا على الجهة الثانية بطلع
+
+187
+00:15:32,040 --> 00:15:35,760
+L of X minus M اللي قعدت لحالها بسوا ناقص M في L
+
+188
+00:15:35,760 --> 00:15:41,720
+of X اذا صار عندي الان لكل M سواء موجبة او سالبة
+
+189
+00:15:41,720 --> 00:15:48,940
+بطلع عندي اللي هي L of X قص Mبساوة M في L of X
+
+190
+00:15:48,940 --> 00:15:53,860
+سواء كانت وجبة أو سالبة نيجي الآن منها بدنا ناخد
+
+191
+00:15:53,860 --> 00:15:57,360
+لمين لأ اللي هي ال R لان therefore for any M
+
+192
+00:15:57,360 --> 00:16:02,800
+element in Z و N element in Nعندي احسبلي الان L of
+
+193
+00:16:02,800 --> 00:16:07,020
+X أس M على N بس ضربليها في N بعد إذنك Y ساوي اللي
+
+194
+00:16:07,020 --> 00:16:12,460
+هي L of X أس M على N لكل ما له أس N لإنه صحيحة هذه
+
+195
+00:16:12,460 --> 00:16:18,080
+لل N اللي هي في N واتفجنا عليها الان هذه بتساوي
+
+196
+00:16:18,080 --> 00:16:21,520
+هذه واضحة لإن هذه هي ال X تبعتنا وهذه ال N بتطلع
+
+197
+00:16:21,520 --> 00:16:27,410
+براالان هذه الان مع الان بيصير L of X plus M L of
+
+198
+00:16:27,410 --> 00:16:30,870
+X plus M قبل بشوية بقى قولنا عنها بيساوي M L of X
+
+199
+00:16:30,870 --> 00:16:34,270
+سواء كانت M positive أو اللي هو negative صار هذه
+
+200
+00:16:34,270 --> 00:16:40,930
+بتساوي هذه إذا انجلي الآنالان هذه ان بيصير عندي L
+
+201
+00:16:40,930 --> 00:16:44,910
+of X of M على N بيسوي M على N في L of X إذا صار
+
+202
+00:16:44,910 --> 00:16:49,490
+عندي لأي rational number صار عندي L of X R بيسوي R
+
+203
+00:16:49,490 --> 00:16:55,670
+L of X لكل R اللي بنتميين NQ نيجي الآن لأ اللي هي
+
+204
+00:16:55,670 --> 00:16:57,230
+الجزء الأخير من النظرية
+
+205
+00:17:08,180 --> 00:17:11,120
+الكلام مشابه للي حكيناها قبل بشوية في الإثبات اللي
+
+206
+00:17:11,120 --> 00:17:15,260
+هو ال limit تبع ال exponential عند 2 أصغر من E
+
+207
+00:17:15,260 --> 00:17:19,380
+وقلنا ليش الان ال E n هنا بيصير 2 أصغر من E أصغر
+
+208
+00:17:19,380 --> 00:17:19,920
+من E أصغر من E أصغر من E أصغر من E أصغر من E أصغر
+
+209
+00:17:19,920 --> 00:17:21,140
+من E أصغر من E أصغر من E أصغر من E أصغر من E أصغر
+
+210
+00:17:21,140 --> 00:17:22,840
+من E أصغر من E أصغر من E أصغر من E أصغر من E أصغر
+
+211
+00:17:22,840 --> 00:17:23,240
+من E أصغر من E أصغر من E أصغر من E أصغر من E أصغر
+
+212
+00:17:23,240 --> 00:17:26,700
+من E أصغر من E أصغر من E أصغر من E أصغر من E أصغر
+
+213
+00:17:26,700 --> 00:17:30,620
+من E أصغ
+
+214
+00:17:33,960 --> 00:17:39,580
+لكن اللي هو L of E N بسوء N and اللي هي L of E
+
+215
+00:17:39,580 --> 00:17:44,020
+minus N بسوء نقص N خليني في الذاكر هذول اذا for
+
+216
+00:17:44,020 --> 00:17:47,480
+every N element in R there exists X element in R
+
+217
+00:17:47,480 --> 00:17:52,670
+بحيث ان X أكبر من مين من Nلكل N element in N في X
+
+218
+00:17:52,670 --> 00:17:56,350
+element in R أكيد X أكبر من مين من E N لأنه أخسرت
+
+219
+00:17:56,350 --> 00:18:00,590
+N بين إيديا حسبت ال E N طلع عند رقم أخدت ال X أكبر
+
+220
+00:18:00,590 --> 00:18:03,310
+منها كيد بالله طيب لأنه unbounded real numbers
+
+221
+00:18:03,310 --> 00:18:06,710
+then L في هذه أكبر أو من L في هذه لأنه ال L
+
+222
+00:18:06,710 --> 00:18:10,810
+strictly increasing إذا صار L في X أكبر من مين من
+
+223
+00:18:10,810 --> 00:18:16,130
+ال NA ألوف E أن يعني أكبر من الان لأن limit هذه as
+
+224
+00:18:16,130 --> 00:18:21,210
+x goes to infinity اللي هو بيكون أكبر أساوي اللي
+
+225
+00:18:21,210 --> 00:18:23,950
+هي limit هذه as n goes to infinity ويساوى infinity
+
+226
+00:18:23,950 --> 00:18:27,550
+لأن لكل لما الان تروح لما لنهاية أكيد ال X بتروح
+
+227
+00:18:27,550 --> 00:18:31,270
+لمين إلى ما لنهاية فصار عندي هذه بتروح إلى ما
+
+228
+00:18:31,270 --> 00:18:34,970
+لنهاية الآن صار عندي limit L of X لما X تروح لما
+
+229
+00:18:34,970 --> 00:18:41,040
+لنهاية بيساوي ما لنهاية similarlyالان لكل نقص any
+
+230
+00:18:41,040 --> 00:18:43,100
+element in z positive بلاقي x element in r
+
+231
+00:18:43,100 --> 00:18:45,740
+positive بحيث ان x أكبر من صفر و أصغر من صفر و
+
+232
+00:18:45,740 --> 00:18:46,340
+أصغر من صفر و أصغر من صفر و أصغر من صفر و أصغر من
+
+233
+00:18:46,340 --> 00:18:47,840
+صفر و أصغر من صفر و أصغر من صفر و أصغر من صفر و
+
+234
+00:18:47,840 --> 00:18:51,500
+أصغر من صفر و أصغر من صفر و أصغر من صفر و أصغر من
+
+235
+00:18:51,500 --> 00:18:57,960
+صفر و أصغر من صفر و أصغر من صفر و أصغر من صفر و
+
+236
+00:18:57,960 --> 00:19:02,520
+أصغر من صفر و أصغر من صفر و أصغر من صفر و أصغر من
+
+237
+00:19:02,520 --> 00:19:09,620
+صفر و أصغر من صفر و أصغر من صفر و أطيب then L of X
+
+238
+00:19:09,620 --> 00:19:13,660
+هيكون أصغر يساوي ال E to the minus N يعني L of X
+
+239
+00:19:13,660 --> 00:19:17,800
+اللي هي أصغر يساوي ناقص N إذا as N goes to
+
+240
+00:19:17,800 --> 00:19:22,700
+infinity as N goes to infinity اللي هو ال E to the
+
+241
+00:19:22,700 --> 00:19:26,540
+minus N بيروح لل0 من اليمين إذا ال X بتروح لل0 من
+
+242
+00:19:26,540 --> 00:19:30,820
+اليمين إذا عندي ال X بتروح لل 0 من اليميناللي هو
+
+243
+00:19:30,820 --> 00:19:34,580
+أصغر لما الـ limit L of X أصغر من limit E to the
+
+244
+00:19:34,580 --> 00:19:37,900
+minus N لما هذا يروح لـ 0 من اليمين أو بمعنى أخر
+
+245
+00:19:37,900 --> 00:19:41,680
+لما الـ N تروح لمهة لنهاية و هذا بيروح لمين؟ لـ
+
+246
+00:19:41,680 --> 00:19:44,760
+Infinity إذا limit L of X لما X تروح لمهة لنهاية
+
+247
+00:19:44,760 --> 00:19:50,920
+بساوي سالب Infinity و هو المطلوب hence limit L of
+
+248
+00:19:50,920 --> 00:19:54,460
+X لما X تروح لـ 0 من اليمين بساوي سالب Infinity
+
+249
+00:19:54,460 --> 00:19:58,500
+طيب
+
+250
+00:20:12,260 --> 00:20:16,320
+الان سارعنا الان نقدر ان اللي هو نحكي عن ال bar
+
+251
+00:20:16,320 --> 00:20:20,080
+functions بدنا نعرف ال bar functions اللي هي بناء
+
+252
+00:20:20,080 --> 00:20:25,060
+على اللي حكيناه و اللي هي موضوع ال bar functions
+
+253
+00:20:25,060 --> 00:20:28,880
+كل ما فيه تقريبا يعني بنعتبره exercises احنا لكن
+
+254
+00:20:28,880 --> 00:20:32,520
+خلينا نعرف التعريفات و النظريات بتكون اللي هي
+
+255
+00:20:32,520 --> 00:20:35,900
+معاكم exercises بسيطة بناء على التعريف اللي
+
+256
+00:20:35,900 --> 00:20:40,720
+بنعرفها اللي هناخد α يليمنتان R و X أكبر من 0The
+
+257
+00:20:40,720 --> 00:20:43,320
+number X to the Alpha is defined to be .. الآن بدي
+
+258
+00:20:43,320 --> 00:20:46,940
+أعرف حاجة اسمها X to the Alpha X to the Alpha بدي
+
+259
+00:20:46,940 --> 00:20:49,900
+أعرفها .. إيش بدي أعرفها؟ بإيشي أنا معرف عندي من
+
+260
+00:20:49,900 --> 00:20:54,440
+الأصل ال exponential معرفة .. خلصنا منها و ال len
+
+261
+00:20:54,440 --> 00:20:59,000
+معرفة .. إذا E to the Alpha في لن ال X هذه المقدار
+
+262
+00:20:59,000 --> 00:21:03,820
+لهذا معرف و هذا معرف بدي أسمي X to the Min to the
+
+263
+00:21:03,820 --> 00:21:07,400
+Alpha اللي هو في الواقع عبارة عن Min E to the
+
+264
+00:21:07,400 --> 00:21:12,040
+AlphaL of X L of X معرفة والـ E معرفة إذا كل هذه
+
+265
+00:21:12,040 --> 00:21:16,000
+معرفة بتسميها X to the main to the alpha الآن صارت
+
+266
+00:21:16,000 --> 00:21:19,540
+عندي يعني قيمة الـ X under this function اللي
+
+267
+00:21:19,540 --> 00:21:23,120
+عرفتها لجديدة يعني إذا بتسميها دي ال function الـ
+
+268
+00:21:23,120 --> 00:21:28,240
+R of X إيش عرفتها أنا بتساوي X to the alpha؟يعني
+
+269
+00:21:28,240 --> 00:21:31,680
+كل ال X بتصير يشمل X to the Alpha و X أكبر من 0
+
+270
+00:21:31,680 --> 00:21:36,780
+هذه ال X to the Alpha هي اللي بدي أسميها ال power
+
+271
+00:21:36,780 --> 00:21:42,000
+function بدي أسميها power function with exponent
+
+272
+00:21:42,000 --> 00:21:47,540
+mean Alpha و ال X هي أشمالها المتغيرة اللي أكبر من
+
+273
+00:21:47,540 --> 00:21:54,340
+0 شوف الآن نشوف بعض الخواص اللي هو هذه اللي هي
+
+274
+00:21:54,340 --> 00:21:56,460
+الدالة طيب
+
+275
+00:22:04,730 --> 00:22:08,690
+الان if x أكبر من 0 and alpha بساوة m على n where
+
+276
+00:22:08,690 --> 00:22:12,770
+m element in z و n element in n then we define x
+
+277
+00:22:12,770 --> 00:22:17,790
+to the alpha بساوة x to the m أسواحد على n in
+
+278
+00:22:17,790 --> 00:22:23,110
+section mean خمسة ستة هتعرفناها زمان انه في حالة
+
+279
+00:22:23,110 --> 00:22:26,570
+بس اللي هي ال rational number عرفنا x to the m على
+
+280
+00:22:26,570 --> 00:22:30,630
+n بساوة x to the m لكل أسواحد على nماشي الحال
+
+281
+00:22:30,630 --> 00:22:34,510
+..الان بدنا نشوف هذا التعريف مطابق لتعريفنا اليوم
+
+282
+00:22:34,510 --> 00:22:41,670
+ولا لأ hence we have لن ال X to the Alpha لن ال X
+
+283
+00:22:41,670 --> 00:22:45,370
+to the Alpha لن ال X to the Alpha بساوي Alpha لن
+
+284
+00:22:45,370 --> 00:22:51,540
+ال Xعرفناها هذه طيب where X to the Alpha بيسوا E
+
+285
+00:22:51,540 --> 00:22:56,260
+to the Lin X to the Min to the Alpha اللي هو بيسوا
+
+286
+00:22:56,260 --> 00:23:01,020
+E to the Alpha في Min في Lin ال X كلام كله سهل ال
+
+287
+00:23:01,020 --> 00:23:05,740
+X to the Alpha هو اللي عرفناها اللي عبارة عن E
+
+288
+00:23:05,740 --> 00:23:10,570
+بتصير to the Lin X to the Alphaلأنه استبدلت الـ x
+
+289
+00:23:10,570 --> 00:23:15,090
+to the alpha بقيمتها اللي هي عبارة عن اللي هي
+
+290
+00:23:15,090 --> 00:23:18,630
+alpha ln x اللي هي بالساوية e to the ln x to the
+
+291
+00:23:18,630 --> 00:23:24,510
+mean to the alpha إذا سواء احنا بالتعريف اللي هو
+
+292
+00:23:24,510 --> 00:23:28,190
+احنا هذا بال exponent أو بال ال function اللي
+
+293
+00:23:28,190 --> 00:23:33,110
+عرفناها بالشكل هذا هيطلع عندي اللي هو القيمتين نفس
+
+294
+00:23:33,110 --> 00:23:34,790
+القيمة طيب
+
+295
+00:23:37,160 --> 00:23:42,300
+نجي الآن لبعض الخواص اللي هي تبعت ال exponential
+
+296
+00:23:42,300 --> 00:23:47,180
+ال power function و الخواص هنتركه لكم إياه لأنها
+
+297
+00:23:47,180 --> 00:23:54,600
+مباشرة على التعريف تبعنا مباشرة
+
+298
+00:23:54,600 --> 00:24:01,100
+على اللي هي التعريف اللي عندنا و هيكون في عندي
+
+299
+00:24:01,100 --> 00:24:05,760
+الآن النظرية الأولىاللي هي 8 3 11 لو كانت Alpha
+
+300
+00:24:05,760 --> 00:24:11,340
+element in R و X و Y اللي هو تنتمي للفترة Zero و
+
+301
+00:24:11,340 --> 00:24:16,500
+تمانية Zero و ما لنهاية آسف then معلش عشان ده طلعت
+
+302
+00:24:16,500 --> 00:24:20,450
+الكهربا قعد نقلف الكهربا أناIf α element in R و X
+
+303
+00:24:20,450 --> 00:24:26,350
+Y belongs to 0 α then 1 to the α بسوء 1 و X to the
+
+304
+00:24:26,350 --> 00:24:30,270
+α أكبر من 0 و X Y to the α بسوء X to the α و Y to
+
+305
+00:24:30,270 --> 00:24:35,590
+the α و X على Y to the α بسوء X to the α على Y to
+
+306
+00:24:35,590 --> 00:24:39,370
+the α هذه اللي هي النظرية طبعا اللي هي مباشرة على
+
+307
+00:24:39,370 --> 00:24:45,100
+تعريفنا اللي هو X to the α بسوء Eof α لن X يعني
+
+308
+00:24:45,100 --> 00:24:49,800
+بدك تيجي تستخدم تعريفك اللي هو اللي عرفناه وعليه
+
+309
+00:24:49,800 --> 00:24:53,480
+اللي هو بتبدأ تشتغل و تبني اللي هو اللي هي
+
+310
+00:24:53,480 --> 00:24:57,680
+القوانين اللي بنحكي عنها اللي هو تعريفنا اللي هو X
+
+311
+00:24:58,570 --> 00:25:05,210
+to the alpha بتساوي E of alpha len اللي هي L of X
+
+312
+00:25:05,210 --> 00:25:10,650
+أو حسب ال notation تبعتنا E to the alpha len ال X
+
+313
+00:25:10,650 --> 00:25:15,710
+هذا الآن التعريف اللي عليه بدك اللي هو تبدأ اللي
+
+314
+00:25:15,710 --> 00:25:23,290
+هو تشتغل على اللي هي النظريةوتبرهنها اللي عندنا
+
+315
+00:25:23,290 --> 00:25:27,630
+نظرية الأولى اللي ذكرناها قبل بشوية اللي هي هذه
+
+316
+00:25:27,630 --> 00:25:32,090
+النظرية على التعريف مباشرة ونظرية تانية أيضا برضه
+
+317
+00:25:32,090 --> 00:25:35,670
+من الخواص إذا كانت Alpha و Beta element ر و X في
+
+318
+00:25:35,670 --> 00:25:40,640
+الفترة Zero ولا نهاية إذا Xتو دا ألفة زيادة بيتا
+
+319
+00:25:40,640 --> 00:25:44,040
+برضه نفس الاشياء طبعا هتلاقي اللي هو انت لما تيجي
+
+320
+00:25:44,040 --> 00:25:48,320
+تفرد هذه هتصير تستخدم خواص المعرفة اللي هي
+
+321
+00:25:48,320 --> 00:25:52,360
+بواسطتها معرفة هتستخدم خواص ال X exponential والن
+
+322
+00:25:52,360 --> 00:25:55,420
+اللي قبله بشوية هتلاقي حالك بتصل X تو دا ألفة
+
+323
+00:25:55,420 --> 00:25:58,310
+زيادة بيتا بسوء X تو دا ألفة في X تو دا بيتاو نفس
+
+324
+00:25:58,310 --> 00:26:05,170
+الشيء x²α²β بيساوي x α beta و يساوي x²β²α و هتيجي
+
+325
+00:26:05,170 --> 00:26:08,830
+.. اللي هي كلها قوانين احنا بنعرفها x²-α بيساوي 1
+
+326
+00:26:08,830 --> 00:26:12,270
+على x²α و نفس الشيء إذا كانت alpha أصغر من beta
+
+327
+00:26:12,270 --> 00:26:17,770
+هيكون x²α أصغر من x²β لما ان x تكون أكبر من 1 و
+
+328
+00:26:17,770 --> 00:26:22,130
+هذه كلها بتكون x resources معاكم اللي هي مباشرة
+
+329
+00:26:22,130 --> 00:26:31,830
+على هذه التعريفالنظرية اللي عندنا على السريع let
+
+330
+00:26:31,830 --> 00:26:35,010
+alpha element in R then the function x بالتروح للـ
+
+331
+00:26:35,010 --> 00:26:37,670
+x alpha من 0 و 1 to R is continuous and
+
+332
+00:26:37,670 --> 00:26:41,210
+differentiable and اللي هو ال derivative لل x to
+
+333
+00:26:41,210 --> 00:26:43,630
+the alpha بسوء alpha to the x to the alpha minus 1
+
+334
+00:26:43,630 --> 00:26:47,650
+for x element in 0 و 1 طبيعي أصلا هي composition
+
+335
+00:26:47,650 --> 00:26:54,490
+of two هي عندى function هذه اللي هي continuousهذا
+
+336
+00:26:54,490 --> 00:26:57,650
+كلها على بعض الـ E كمان continuous ده اللي هتطلع
+
+337
+00:26:57,650 --> 00:26:59,850
+هذا continuous و هذا continuous و نفس الاشي ال
+
+338
+00:26:59,850 --> 00:27:02,870
+differentiability إذا أكيد اللي هي ال function
+
+339
+00:27:02,870 --> 00:27:05,890
+اللي عندنا X to the X to the Alpha حسب تعريفنا is
+
+340
+00:27:05,890 --> 00:27:09,410
+continuous and differentiable و لو بدك تسمي اللي
+
+341
+00:27:09,410 --> 00:27:13,710
+هو هذه ال derivative و بدك تبدأ تفاضل دي اتفاضل DX
+
+342
+00:27:13,710 --> 00:27:17,050
+Alpha يعني بدك تتفاضل هذه كيف تتفاضل هذه ال
+
+343
+00:27:17,050 --> 00:27:20,860
+exponential اللي هي E to the Alpha لإن ال Xفى
+
+344
+00:27:20,860 --> 00:27:25,580
+التفاضل اللى هو اللى جوا اللى هو Alpha فى واحد على
+
+345
+00:27:25,580 --> 00:27:30,120
+X ماشي الحال اللى هى بمعنى آخر بصير عندى اللى هو
+
+346
+00:27:30,120 --> 00:27:35,260
+عبارة عن E to the Alpha لن ال X اللى هى عبارة عن
+
+347
+00:27:35,260 --> 00:27:38,480
+ال X to the Alpha نفسها فى التفاضل هذه اللى هى
+
+348
+00:27:38,480 --> 00:27:43,080
+Alpha على X بيساوى Alpha أس X اللى هى هذه بتطلع
+
+349
+00:27:43,080 --> 00:27:46,680
+ناقص واحد Alpha مانس واحد for X element in zero
+
+350
+00:27:46,680 --> 00:27:53,250
+وملا نهايةالان بعض الملاحظات الأخرى اللي بيقولك
+
+351
+00:27:53,250 --> 00:28:01,010
+إياها على هذه الدالة بيقولبقول لك اللي هو عندي إذا
+
+352
+00:28:01,010 --> 00:28:07,610
+كانت Alpha أكبر من 0 فبصير
+
+353
+00:28:07,610 --> 00:28:11,970
+عندي اللي هي ال function من X and X alpha is
+
+354
+00:28:11,970 --> 00:28:15,930
+strictly increasing على فترة 0 و ملا نهاية طبيعي
+
+355
+00:28:15,930 --> 00:28:19,890
+لما Alpha أكبر من 0 هيصير عندي الان المقدر هذا
+
+356
+00:28:19,890 --> 00:28:24,120
+بظله موجبو هذه ألف أكبر من سفر بيكون بيبدو أكبر من
+
+357
+00:28:24,120 --> 00:28:27,180
+سفر إذا صارت عندي اللي هي ال derivative أكبر من
+
+358
+00:28:27,180 --> 00:28:31,160
+سفر إذا صارت عند الدلة strictly increasing لو كانت
+
+359
+00:28:31,160 --> 00:28:34,520
+ألف أصغر من سفر هتصير اللي هي العكس strictly
+
+360
+00:28:34,520 --> 00:28:38,420
+decreasing لإنه هتكون هذه سالبة وهذه مدلة موجبة
+
+361
+00:28:38,420 --> 00:28:42,180
+بتظل هذه كلها موجبة إذا صارت strictly decreasing
+
+362
+00:28:42,180 --> 00:28:45,360
+عند ألف بتساوي سفر بيكون احنا ال derivative للواحد
+
+363
+00:28:45,360 --> 00:28:48,880
+اللي هو بيكون عبارة عن constant function اللي هو
+
+364
+00:28:48,880 --> 00:28:51,300
+في حالة الألف بتساوي سفر
+
+365
+00:28:53,910 --> 00:29:02,970
+الان نيجي الى اللي هي هيك بنكون اللي هو وصلنا
+
+366
+00:29:02,970 --> 00:29:09,190
+لآخر تعريف بده يعرف اللي هو ال log function للأساس
+
+367
+00:29:09,190 --> 00:29:13,090
+a احنا اللي عرفناه ال len اللي هو للأساس e بمعنى
+
+368
+00:29:13,090 --> 00:29:16,530
+آخر كيف بده اعرفه الآن احنا لسه ماعرفش الأساسات
+
+369
+00:29:16,530 --> 00:29:19,930
+هدا كصمنا ال len و ال exponential الان بدنا نعرف
+
+370
+00:29:19,930 --> 00:29:25,920
+اللي هو نسمي ال logاللغاريثم للأساس A نفترض أن A
+
+371
+00:29:25,920 --> 00:29:28,860
+أكبر من 0 و A لات سوى 1 it is sometimes useful to
+
+372
+00:29:28,860 --> 00:29:34,820
+define the function log للأساس A كمالي الان log A
+
+373
+00:29:34,820 --> 00:29:39,560
+of X كده اللي بيساوي لن ال X على لن ال A حيث ال A
+
+374
+00:29:39,560 --> 00:29:43,940
+عدد ثابت ماشي الحال هذه الآن صارت اللي هي ال log
+
+375
+00:29:43,940 --> 00:29:49,540
+العامة هي نفس ال exponential بس مضروبة في ثابتالأن
+
+376
+00:29:49,540 --> 00:29:52,920
+إذا الـ exponential الأصلية عليها هو معرف الان
+
+377
+00:29:52,920 --> 00:29:59,140
+بقولك إنه اللي هي هذه بنسميها log أو ال logarithm
+
+378
+00:29:59,140 --> 00:30:04,620
+للأساس A لو كان الأساس E هذا بصير لن ال E واحد
+
+379
+00:30:04,620 --> 00:30:09,320
+بنصير نرجع لن ال X اللي هي الدالة الأصلية إذا لو
+
+380
+00:30:09,320 --> 00:30:14,000
+كانت ال A هي ال E بنرجع للدالة الأصلية اللي هي زي
+
+381
+00:30:14,000 --> 00:30:17,060
+ما قلنا is called the logarithm of X to the base A
+
+382
+00:30:19,560 --> 00:30:23,400
+Yields دا الـ logarithm العادي الان اللي مشهور
+
+383
+00:30:23,400 --> 00:30:28,020
+عندنا للحسابات اللي هو للأساس عشرة اللي هو بنسمي
+
+384
+00:30:28,020 --> 00:30:32,220
+اللي هو log to the base عشرة أو اللي بنسمي common
+
+385
+00:30:32,220 --> 00:30:36,720
+logarithm اللي هو اللي بنستخدمه عادة في الحسابات و
+
+386
+00:30:36,720 --> 00:30:41,620
+هيك بكون عندنا احنا انهينا اللي هو ال section اللي
+
+387
+00:30:41,620 --> 00:30:46,180
+هو تمانية تلاتة و بكون خلصنا اللي هيالجزء الثاني
+
+388
+00:30:46,180 --> 00:30:52,240
+من المحاضرة اللي هو ما يتعلق بال .. اللي هو ال
+
+389
+00:30:52,240 --> 00:30:54,660
+logarithmic function وال power function وال
+
+390
+00:30:54,660 --> 00:31:00,040
+logarithmic للأساس اللي هو زي ما قلنا ايه و إلى
+
+391
+00:31:00,040 --> 00:31:00,640
+لقاء
+
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/64kJ1lF4GJg_raw.json b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/64kJ1lF4GJg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..b609f3122ddfb7a483eeaf3ded4c818f3c698bac
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/64kJ1lF4GJg_raw.json
@@ -0,0 +1 @@
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0.861328125}, {"start": 51.45, "end": 52.07, "word": " التكامل", "probability": 0.9853515625}, {"start": 52.07, "end": 52.51, "word": " برضه", "probability": 0.8177897135416666}, {"start": 52.51, "end": 53.45, "word": " قابل", "probability": 0.8821614583333334}, {"start": 53.45, "end": 54.11, "word": " التكامل", "probability": 0.9954833984375}], "temperature": 1.0}, {"id": 4, "seek": 7037, "start": 55.01, "end": 70.37, "text": "واليوم هنكمل الأمر الحديث عن composition of two integrable functions هل قابل التكامل أم لا وإذا قابل التكامل بدنا نبرهن وإذا مش قابل بدنا نجيه counter example", "tokens": [2407, 6027, 1829, 20498, 8032, 1863, 24793, 1211, 16247, 29973, 21542, 16254, 12984, 18871, 12686, 295, 732, 16200, 424, 638, 6828, 8032, 1211, 12174, 16758, 1211, 16712, 4117, 10943, 1211, 5551, 2304, 20193, 4032, 28814, 15730, 12174, 16758, 1211, 16712, 4117, 10943, 1211, 47525, 8315, 8717, 26890, 3224, 1863, 4032, 28814, 15730, 37893, 12174, 16758, 1211, 47525, 8315, 8717, 7435, 1829, 3224, 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"probability": 0.63134765625}, {"start": 717.71, "end": 718.09, "word": " Phi", "probability": 0.92626953125}, {"start": 718.09, "end": 718.83, "word": " continuous", "probability": 0.36962890625}, {"start": 718.83, "end": 719.47, "word": " على", "probability": 0.89208984375}, {"start": 719.47, "end": 719.79, "word": " C", "probability": 0.7939453125}, {"start": 719.79, "end": 720.25, "word": " وD", "probability": 0.825439453125}, {"start": 720.25, "end": 721.03, "word": " إذا", "probability": 0.88818359375}, {"start": 721.03, "end": 721.37, "word": " Phi", "probability": 0.9326171875}, {"start": 721.37, "end": 721.55, "word": " is", "probability": 0.84765625}, {"start": 721.55, "end": 722.01, "word": " uniformly", "probability": 0.91845703125}, {"start": 722.01, "end": 722.59, "word": " continuous", "probability": 0.85302734375}, {"start": 722.59, "end": 722.85, "word": " on", "probability": 0.90966796875}, {"start": 722.85, "end": 723.77, "word": " مين؟", "probability": 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"word": " الـ", "probability": 0.75390625}, {"start": 739.83, "end": 739.99, "word": " S", "probability": 0.8798828125}, {"start": 739.99, "end": 740.23, "word": " minus", "probability": 0.5263671875}, {"start": 740.23, "end": 740.47, "word": " T", "probability": 0.98486328125}, {"start": 740.47, "end": 740.77, "word": " أصغر", "probability": 0.9874267578125}, {"start": 740.77, "end": 740.91, "word": " من", "probability": 0.99267578125}, {"start": 740.91, "end": 741.17, "word": " delta", "probability": 0.273681640625}, {"start": 741.17, "end": 741.53, "word": " prime", "probability": 0.88671875}, {"start": 741.53, "end": 742.13, "word": " يعطيني", "probability": 0.828857421875}, {"start": 742.13, "end": 742.27, "word": " أن", "probability": 0.830078125}, {"start": 742.27, "end": 742.73, "word": " 5S", "probability": 0.57562255859375}, {"start": 742.73, "end": 743.07, "word": " ناقص", "probability": 0.76922607421875}, {"start": 743.07, "end": 743.49, "word": " 5T", "probability": 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Prime", "probability": 0.81591796875}, {"start": 908.09, "end": 908.39, "word": " إشي", "probability": 0.8660481770833334}, {"start": 908.39, "end": 909.01, "word": " بيعطيني", "probability": 0.86845703125}], "temperature": 1.0}, {"id": 43, "seek": 92787, "start": 909.73, "end": 927.87, "text": "5s-5t أصغر من إبسلون برايم إذا يا جماعة سواء دلتا برايم أصغر من إبسلون برايم أو دلتا برايم أصغر من إبسلون إبسلون برايم بقدر ألاقي دلتا", "tokens": [20, 82, 12, 20, 83, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 4724, 23557, 32640, 11933, 15730, 35186, 10874, 15042, 27884, 8608, 2407, 16606, 11778, 1211, 2655, 995, 4724, 23557, 32640, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 4724, 23557, 32640, 34051, 11778, 1211, 2655, 995, 4724, 23557, 32640, 5551, 9381, 17082, 2288, 9154, 11933, 3555, 3794, 1211, 11536, 11933, 3555, 3794, 1211, 11536, 4724, 23557, 32640, 4724, 28543, 2288, 5551, 15040, 38436, 11778, 1211, 2655, 995], "avg_logprob": 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0.6842041015625}, {"start": 918.87, "end": 919.19, "word": " برايم", "probability": 0.9684244791666666}, {"start": 919.19, "end": 919.75, "word": " أصغر", "probability": 0.8577880859375}, {"start": 919.75, "end": 919.87, "word": " من", "probability": 0.9716796875}, {"start": 919.87, "end": 920.55, "word": " إبسلون", "probability": 0.95234375}, {"start": 920.55, "end": 921.01, "word": " برايم", "probability": 0.9794921875}, {"start": 921.01, "end": 921.85, "word": " أو", "probability": 0.9111328125}, {"start": 921.85, "end": 922.21, "word": " دلتا", "probability": 0.9652099609375}, {"start": 922.21, "end": 922.45, "word": " برايم", "probability": 0.990234375}, {"start": 922.45, "end": 922.85, "word": " أصغر", "probability": 0.9844970703125}, {"start": 922.85, "end": 922.97, "word": " من", "probability": 0.9912109375}, {"start": 922.97, "end": 923.49, "word": " إبسلون", "probability": 0.97587890625}, {"start": 923.49, "end": 925.27, "word": " إبسلون", "probability": 0.77130126953125}, {"start": 925.27, "end": 925.71, "word": " برايم", "probability": 0.9619140625}, {"start": 925.71, "end": 926.77, "word": " بقدر", "probability": 0.6828206380208334}, {"start": 926.77, "end": 927.25, "word": " ألاقي", "probability": 0.9083658854166666}, {"start": 927.25, "end": 927.87, "word": " دلتا", "probability": 0.94677734375}], "temperature": 1.0}, {"id": 44, "seek": 94694, "start": 929.34, "end": 946.94, "text": "تتحقق فيها الخاصية لما S minus T أصغر من Delta لما S minus T أصغر من Delta يعطيني هذا المقدار أصغر من Epsilon Prime هذا المقدار أصغر من Epsilon Prime إذا أنا في النهاية there exist لوصلت له there exist Delta", "tokens": [2655, 2655, 5016, 4587, 4587, 8978, 11296, 33962, 33546, 10632, 5296, 15042, 318, 3175, 314, 5551, 9381, 17082, 2288, 9154, 18183, 5296, 15042, 318, 3175, 314, 5551, 9381, 17082, 2288, 9154, 18183, 37495, 9566, 1829, 22653, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 9154, 9970, 82, 15754, 9655, 23758, 9673, 28543, 9640, 5551, 9381, 17082, 2288, 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المعلومة الآن بدي أستخدم المعلومة الموازية لها أن F is integrable الان عندي F is integrable on I إذا حسب then حسب اللي هو ال .. ال .. ال integrability criterion", "tokens": [6027, 148, 48506, 44713, 17082, 1211, 4587, 8315, 20449, 1211, 20498, 3660, 2423, 39184, 498, 286, 307, 10957, 4032, 5016, 36520, 8315, 15844, 20449, 1211, 20498, 3660, 3714, 16095, 3660, 10874, 28259, 14111, 39896, 29538, 9673, 30241, 20498, 3660, 6024, 48506, 4724, 16254, 5551, 14851, 9778, 40448, 9673, 30241, 20498, 3660, 9673, 2407, 31377, 10632, 5296, 11296, 14739, 479, 307, 16200, 424, 638, 2423, 7649, 18871, 16254, 479, 307, 16200, 424, 638, 322, 286, 11933, 15730, 11331, 35457, 550, 11331, 35457, 13672, 1829, 31439, 2423, 4386, 2423, 4386, 2423, 3572, 2310, 46691], "avg_logprob": -0.23303091461940478, "compression_ratio": 1.7095238095238094, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1097.45, "end": 1097.95, "word": "الآن", "probability": 0.6885579427083334}, {"start": 1097.95, "end": 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8198, 24808, 363, 4478, 294, 363, 295, 286, 4724, 7435, 11622, 38207, 3714, 9957, 286, 1270, 300, 13672, 1829, 31439, 624, 295, 363, 4032, 37], "avg_logprob": -0.24732141835348948, "compression_ratio": 1.0508474576271187, "no_speech_prob": 3.635883331298828e-06, "words": [{"start": 1124.65, "end": 1125.03, "word": "اللي", "probability": 0.567626953125}, {"start": 1125.03, "end": 1125.43, "word": " حكينا", "probability": 0.97705078125}, {"start": 1125.43, "end": 1125.91, "word": " عنها", "probability": 0.992431640625}, {"start": 1125.91, "end": 1126.69, "word": " there", "probability": 0.265380859375}, {"start": 1126.69, "end": 1127.29, "word": " exists", "probability": 0.521484375}, {"start": 1127.29, "end": 1127.99, "word": " partition", "probability": 0.79736328125}, {"start": 1127.99, "end": 1128.57, "word": " B", "probability": 0.5810546875}, {"start": 1128.57, "end": 1129.81, "word": " element", "probability": 0.7978515625}, {"start": 1129.81, "end": 1130.11, "word": " in", 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إيديا لجهتها دلتة طيب الان خدوا ايه 6 هي عبارة عن كل ال indices K اللي هان هذولة و 0,1,2,3 كده هذه جزء اثنين ال I هي عند X note لعند X end هذه الفترة اللي هي من A لعند B يا جماعة لعند B", "tokens": [6027, 7649, 35186, 10874, 15042, 27884, 20328, 9640, 2655, 11778, 1211, 2655, 3660, 49374, 11933, 1829, 16254, 995, 5296, 7435, 3224, 2655, 11296, 11778, 1211, 2655, 3660, 23032, 1829, 3555, 2423, 7649, 16490, 3215, 14407, 1975, 1829, 3224, 1386, 39896, 6225, 3555, 9640, 3660, 18871, 28242, 2423, 43840, 591, 13672, 1829, 8032, 7649, 8032, 8848, 12610, 3660, 4032, 1958, 11, 16, 11, 17, 11, 18, 9122, 3215, 3224, 29538, 10874, 11622, 38207, 1975, 12984, 1863, 9957, 2423, 286, 39896, 43242, 1783, 3637, 5296, 3615, 41260, 1783, 917, 29538, 27188, 2655, 25720, 13672, 1829, 39896, 9154, 316, 5296, 3615, 41260, 363, 35186, 10874, 15042, 27884, 5296, 3615, 41260, 363], "avg_logprob": -0.3575114624215922, "compression_ratio": 1.6682692307692308, "no_speech_prob": 2.9206275939941406e-06, "words": 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ال integration لل absolute value لل F من A ل B أصغر أساوي ال integration لل F من A ل B أصغر أساوي ال integration لل F من A ل B وهذا إيش معناته؟ هذا معناته إذا ال absolute value لل integration لل F من A ل B أصغر أساوي", "tokens": [28814, 15730, 2423, 7649, 4724, 15042, 14739, 479, 49374, 8032, 8848, 12610, 3660, 32748, 6027, 2655, 9957, 11331, 35457, 8717, 19913, 16572, 11296, 5551, 9778, 3215, 8315, 11296, 9673, 25720, 9673, 46958, 10632, 34051, 7942, 11933, 15730, 4724, 1829, 9381, 13546, 2423, 10980, 24976, 8236, 2158, 24976, 479, 9154, 316, 5296, 363, 5551, 9381, 17082, 2288, 5551, 3794, 995, 45865, 2423, 10980, 24976, 479, 9154, 316, 5296, 363, 5551, 9381, 17082, 2288, 5551, 3794, 995, 45865, 2423, 10980, 24976, 479, 9154, 316, 5296, 363, 37037, 15730, 11933, 1829, 8592, 20449, 8315, 47395, 22807, 23758, 20449, 8315, 47395, 11933, 15730, 2423, 8236, 2158, 24976, 10980, 24976, 479, 9154, 316, 5296, 363, 5551, 9381, 17082, 2288, 5551, 3794, 995, 45865], "avg_logprob": 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0.97802734375}, {"start": 3875.97, "end": 3876.17, "word": " B", "probability": 0.90625}, {"start": 3876.17, "end": 3877.07, "word": " وهذا", "probability": 0.7276611328125}, {"start": 3877.07, "end": 3877.29, "word": " إيش", "probability": 0.8390299479166666}, {"start": 3877.29, "end": 3878.03, "word": " معناته؟", "probability": 0.8271484375}, {"start": 3878.03, "end": 3878.19, "word": " هذا", "probability": 0.71923828125}, {"start": 3878.19, "end": 3878.57, "word": " معناته", "probability": 0.9850260416666666}, {"start": 3878.57, "end": 3878.87, "word": " إذا", "probability": 0.96923828125}, {"start": 3878.87, "end": 3880.07, "word": " ال", "probability": 0.94580078125}, {"start": 3880.07, "end": 3880.47, "word": " absolute", "probability": 0.9609375}, {"start": 3880.47, "end": 3881.11, "word": " value", "probability": 0.9912109375}, {"start": 3881.11, "end": 3882.41, "word": " لل", "probability": 0.97216796875}, {"start": 3882.41, "end": 3882.97, "word": " integration", "probability": 0.98046875}, {"start": 3882.97, "end": 3883.25, "word": " لل", "probability": 0.9501953125}, {"start": 3883.25, "end": 3883.61, "word": " F", "probability": 0.978515625}, {"start": 3883.61, "end": 3884.29, "word": " من", "probability": 0.98583984375}, {"start": 3884.29, "end": 3884.49, "word": " A", "probability": 0.9921875}, {"start": 3884.49, "end": 3884.61, "word": " ل", "probability": 0.96533203125}, {"start": 3884.61, "end": 3884.91, "word": " B", "probability": 0.970703125}, {"start": 3884.91, "end": 3885.79, "word": " أصغر", "probability": 0.9930419921875}, {"start": 3885.79, "end": 3886.31, "word": " أساوي", "probability": 0.91650390625}], "temperature": 1.0}, {"id": 164, "seek": 390227, "start": 3886.95, "end": 3902.27, "text": "اللي هو ال integration لأ لأبسل و لأ لأف من A لB ماشي الحالة و طبيعي عندي هذه أثبتناها بهذه و طبيعي مدام عنا لسه ما", "tokens": [6027, 20292, 31439, 2423, 10980, 5296, 10721, 5296, 10721, 3555, 3794, 1211, 4032, 5296, 10721, 5296, 10721, 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"end": 3899.75, "word": " بهذه", "probability": 0.735595703125}, {"start": 3899.75, "end": 3900.27, "word": " و", "probability": 0.87841796875}, {"start": 3900.27, "end": 3900.75, "word": " طبيعي", "probability": 0.96240234375}, {"start": 3900.75, "end": 3901.25, "word": " مدام", "probability": 0.7464192708333334}, {"start": 3901.25, "end": 3901.77, "word": " عنا", "probability": 0.701171875}, {"start": 3901.77, "end": 3902.07, "word": " لسه", "probability": 0.9597981770833334}, {"start": 3902.07, "end": 3902.27, "word": " ما", "probability": 0.755859375}], "temperature": 1.0}, {"id": 165, "seek": 392061, "start": 3907.89, "end": 3920.61, "text": "أو ملاحظة سابقة لبس الـ integration من a لb لبس ال value of f of x أصغر أو شاوي اللي هو من k في طول الفترة بـ-a", "tokens": [10721, 2407, 3714, 15040, 5016, 19913, 3660, 8608, 16758, 28671, 5296, 3555, 3794, 2423, 39184, 10980, 9154, 257, 5296, 65, 5296, 3555, 3794, 2423, 2158, 295, 283, 295, 2031, 5551, 9381, 17082, 2288, 34051, 13412, 995, 45865, 13672, 1829, 31439, 9154, 350, 8978, 23032, 12610, 27188, 2655, 25720, 4724, 39184, 12, 64], "avg_logprob": -0.32900943171303226, "compression_ratio": 1.2426470588235294, "no_speech_prob": 2.3663043975830078e-05, "words": [{"start": 3907.89, "end": 3908.71, "word": "أو", "probability": 0.369873046875}, {"start": 3908.71, "end": 3909.53, "word": " ملاحظة", "probability": 0.91015625}, {"start": 3909.53, "end": 3909.97, "word": " سابقة", "probability": 0.9129231770833334}, {"start": 3909.97, "end": 3910.39, "word": " لبس", "probability": 0.5198974609375}, {"start": 3910.39, "end": 3910.47, "word": " الـ", "probability": 0.688720703125}, {"start": 3910.47, "end": 3910.95, "word": " integration", "probability": 0.55810546875}, {"start": 3910.95, "end": 3911.19, "word": " من", "probability": 0.92822265625}, {"start": 3911.19, "end": 3911.29, "word": " a", "probability": 0.493408203125}, {"start": 3911.29, "end": 3911.69, "word": " لb", "probability": 0.596923828125}, {"start": 3911.69, "end": 3912.41, "word": " لبس", "probability": 0.9737955729166666}, {"start": 3912.41, "end": 3912.47, "word": " ال", "probability": 0.94970703125}, {"start": 3912.47, "end": 3912.63, "word": " value", "probability": 0.29296875}, {"start": 3912.63, "end": 3912.95, "word": " of", "probability": 0.751953125}, {"start": 3912.95, "end": 3913.05, "word": " f", "probability": 0.57421875}, {"start": 3913.05, "end": 3913.21, "word": " of", "probability": 0.228271484375}, {"start": 3913.21, "end": 3913.65, "word": " x", "probability": 0.8203125}, {"start": 3913.65, "end": 3914.67, "word": " أصغر", "probability": 0.9468994140625}, {"start": 3914.67, "end": 3914.79, "word": " أو", "probability": 0.96826171875}, {"start": 3914.79, "end": 3915.25, "word": " شاوي", "probability": 0.8123372395833334}, {"start": 3915.25, "end": 3915.63, "word": " اللي", "probability": 0.71240234375}, {"start": 3915.63, "end": 3915.85, "word": " هو", "probability": 0.96875}, {"start": 3915.85, "end": 3916.21, "word": " من", "probability": 0.89111328125}, {"start": 3916.21, "end": 3917.09, "word": " k", "probability": 0.59521484375}, {"start": 3917.09, "end": 3917.81, "word": " في", "probability": 0.455810546875}, {"start": 3917.81, "end": 3918.07, "word": " طول", "probability": 0.990478515625}, {"start": 3918.07, "end": 3918.69, "word": " الفترة", "probability": 0.9925130208333334}, {"start": 3918.69, "end": 3920.03, "word": " بـ", "probability": 0.521484375}, {"start": 3920.03, "end": 3920.61, "word": "-a", "probability": 0.4959716796875}], "temperature": 1.0}, {"id": 166, "seek": 394877, "start": 3922.27, "end": 3948.77, "text": "مع هذه together بنحصل على اللي هو المطلوب ال absolute value ال integration أصغر سوا ال integration لل absolute value أصغر سوا K في ال B minus A هذه اللي هو الجزء الأول من ال corollary خلينا نشوف الجزء الثاني من ال corollary برضه اللي هو برهانه سهل و برهانه اللي هو مشابه", "tokens": [2304, 3615, 29538, 1214, 44945, 5016, 36520, 15844, 13672, 1829, 31439, 9673, 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"probability": 0.81982421875}], "temperature": 1.0}, {"id": 186, "seek": 444722, "start": 4425.06, "end": 4447.22, "text": "is integrable صار عندي الان fg integrable تابعا لأن f تربيع و g تربيع و f زائد g كل تربيع حاصل جمحين و ضرب النصفي هنا ثابت و بيطلع عبارة عن integrable function نيجي لآخر اللي هو نقطة في ال", "tokens": [271, 16200, 424, 638, 20328, 9640, 18871, 16254, 2423, 7649, 283, 70, 16200, 424, 638, 6055, 16758, 3615, 995, 5296, 33456, 283, 6055, 25513, 40228, 4032, 290, 6055, 25513, 40228, 4032, 283, 30767, 16373, 3215, 290, 28242, 6055, 25513, 40228, 11331, 33546, 1211, 10874, 2304, 5016, 9957, 4032, 48812, 25513, 28239, 9381, 41185, 34105, 38637, 16758, 2655, 4032, 4724, 1829, 9566, 1211, 3615, 6225, 3555, 9640, 3660, 18871, 16200, 424, 638, 2445, 8717, 1829, 7435, 1829, 5296, 148, 95, 34740, 13672, 1829, 31439, 8717, 47432, 3660, 8978, 2423], "avg_logprob": -0.3353230417444465, "compression_ratio": 1.6077348066298343, "no_speech_prob": 1.6987323760986328e-05, "words": 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0.80419921875}, {"start": 4438.32, "end": 4438.9, "word": " النصفي", "probability": 0.7565104166666666}, {"start": 4438.9, "end": 4439.04, "word": " هنا", "probability": 0.6142578125}, {"start": 4439.04, "end": 4439.48, "word": " ثابت", "probability": 0.80712890625}, {"start": 4439.48, "end": 4439.6, "word": " و", "probability": 0.450927734375}, {"start": 4439.6, "end": 4439.86, "word": " بيطلع", "probability": 0.77880859375}, {"start": 4439.86, "end": 4440.18, "word": " عبارة", "probability": 0.9405517578125}, {"start": 4440.18, "end": 4440.34, "word": " عن", "probability": 0.96923828125}, {"start": 4440.34, "end": 4440.9, "word": " integrable", "probability": 0.7640787760416666}, {"start": 4440.9, "end": 4441.36, "word": " function", "probability": 0.8681640625}, {"start": 4441.36, "end": 4443.12, "word": " نيجي", "probability": 0.805419921875}, {"start": 4443.12, "end": 4443.7, "word": " لآخر", "probability": 0.9327392578125}, {"start": 4443.7, "end": 4444.2, "word": " اللي", "probability": 0.912841796875}, {"start": 4444.2, "end": 4444.72, "word": " هو", "probability": 0.99267578125}, {"start": 4444.72, "end": 4446.88, "word": " نقطة", "probability": 0.9661458333333334}, {"start": 4446.88, "end": 4447.0, "word": " في", "probability": 0.9345703125}, {"start": 4447.0, "end": 4447.22, "word": " ال", "probability": 0.80322265625}], "temperature": 1.0}, {"id": 187, "seek": 446957, "start": 4448.55, "end": 4469.57, "text": "في ال .. في ال .. في ال section 7-2 اللي هو السؤال اللي سألناه في الأول قولنا لو كانت F is integrable function و Phi is integrable هل Phi composite F is integrable قولنا أكيد هو لو .. في البداية قولنا أن Phi composite F need not to be integrable", "tokens": [41185, 2423, 4386, 8978, 2423, 4386, 8978, 2423, 3541, 1614, 12, 17, 13672, 1829, 31439, 21136, 33604, 6027, 13672, 1829, 8608, 10721, 1211, 8315, 3224, 8978, 16247, 12610, 12174, 12610, 8315, 45164, 25961, 2655, 479, 307, 16200, 424, 638, 2445, 4032, 41435, 307, 16200, 424, 638, 8032, 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"end": 4454.45, "word": " كانت", "probability": 0.949462890625}, {"start": 4454.45, "end": 4454.59, "word": " F", "probability": 0.59716796875}, {"start": 4454.59, "end": 4454.79, "word": " is", "probability": 0.76171875}, {"start": 4454.79, "end": 4455.35, "word": " integrable", "probability": 0.7945149739583334}, {"start": 4455.35, "end": 4455.91, "word": " function", "probability": 0.85400390625}, {"start": 4455.91, "end": 4456.81, "word": " و", "probability": 0.8876953125}, {"start": 4456.81, "end": 4457.13, "word": " Phi", "probability": 0.51171875}, {"start": 4457.13, "end": 4457.41, "word": " is", "probability": 0.9267578125}, {"start": 4457.41, "end": 4458.25, "word": " integrable", "probability": 0.89794921875}, {"start": 4458.25, "end": 4459.17, "word": " هل", "probability": 0.877685546875}, {"start": 4459.17, "end": 4459.57, "word": " Phi", "probability": 0.94482421875}, {"start": 4459.57, "end": 4460.01, "word": " composite", "probability": 0.78076171875}, {"start": 4460.01, "end": 4460.25, "word": " F", "probability": 0.90185546875}, {"start": 4460.25, "end": 4460.45, "word": " is", "probability": 0.93017578125}, {"start": 4460.45, "end": 4461.19, "word": " integrable", "probability": 0.8924153645833334}, {"start": 4461.19, "end": 4462.33, "word": " قولنا", "probability": 0.78125}, {"start": 4462.33, "end": 4462.75, "word": " أكيد", "probability": 0.84765625}, {"start": 4462.75, "end": 4462.89, "word": " هو", "probability": 0.8857421875}, {"start": 4462.89, "end": 4463.11, "word": " لو", "probability": 0.55712890625}, {"start": 4463.11, "end": 4463.41, "word": " ..", "probability": 0.40283203125}, {"start": 4463.41, "end": 4464.31, "word": " في", "probability": 0.8974609375}, {"start": 4464.31, "end": 4464.69, "word": " البداية", "probability": 0.9806315104166666}, {"start": 4464.69, "end": 4465.05, "word": " قولنا", "probability": 0.9801432291666666}, {"start": 4465.05, "end": 4465.27, "word": " أن", "probability": 0.56201171875}, {"start": 4465.27, "end": 4465.95, "word": " Phi", "probability": 0.84716796875}, {"start": 4465.95, "end": 4466.43, "word": " composite", "probability": 0.943359375}, {"start": 4466.43, "end": 4466.85, "word": " F", "probability": 0.98095703125}, {"start": 4466.85, "end": 4467.21, "word": " need", "probability": 0.6865234375}, {"start": 4467.21, "end": 4467.57, "word": " not", "probability": 0.958984375}, {"start": 4467.57, "end": 4467.75, "word": " to", "probability": 0.89794921875}, {"start": 4467.75, "end": 4468.43, "word": " be", "probability": 0.96826171875}, {"start": 4468.43, "end": 4469.57, "word": " integrable", "probability": 0.9072265625}], "temperature": 1.0}, {"id": 188, "seek": 449643, "start": 4469.98, "end": 4496.44, "text": "إذا the composition of two integrable functions need not to be integrable يعني هذا إعلان the composition of two integrable functions need not to be integrable but if phi the first one is continuous then phi composite of f is integrable كما شفنا في العقل اللي هو النظرية الأولى طيب نيجي الآن المثال الأخير بيقولنا يا جماعة the composition of integrable functions need not to be integrable", "tokens": [28814, 15730, 264, 12686, 295, 732, 16200, 424, 638, 6828, 643, 406, 281, 312, 16200, 424, 638, 37495, 22653, 23758, 11933, 30241, 7649, 264, 12686, 295, 732, 16200, 424, 638, 6828, 643, 406, 281, 312, 16200, 424, 638, 457, 498, 13107, 264, 700, 472, 307, 10957, 550, 13107, 25557, 295, 283, 307, 16200, 424, 638, 9122, 15042, 13412, 5172, 8315, 8978, 18863, 4587, 1211, 13672, 1829, 31439, 28239, 19913, 2288, 10632, 16247, 12610, 7578, 23032, 1829, 3555, 8717, 1829, 7435, 1829, 6024, 48506, 9673, 12984, 6027, 16247, 9778, 13546, 4724, 1829, 39648, 8315, 35186, 10874, 15042, 27884, 264, 12686, 295, 16200, 424, 638, 6828, 643, 406, 281, 312, 16200, 424, 638], "avg_logprob": -0.1975446432562811, "compression_ratio": 2.0432900432900434, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 4469.98, "end": 4470.32, "word": "إذا", 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"probability": 0.96484375}, {"start": 4892.68, "end": 4893.18, "word": " واحدة", "probability": 0.9700520833333334}, {"start": 4893.18, "end": 4893.24, "word": " ..", "probability": 0.2437744140625}, {"start": 4893.24, "end": 4893.64, "word": " نقطة", "probability": 0.9490559895833334}, {"start": 4893.64, "end": 4894.28, "word": " واحدة", "probability": 0.9928385416666666}, {"start": 4894.28, "end": 4894.84, "word": " اللي", "probability": 0.759765625}, {"start": 4894.84, "end": 4895.96, "word": " كانت", "probability": 0.92822265625}, {"start": 4895.96, "end": 4896.4, "word": " عندها", "probability": 0.96630859375}, {"start": 4896.4, "end": 4896.82, "word": " point", "probability": 0.93994140625}, {"start": 4896.82, "end": 4897.12, "word": " of", "probability": 0.96533203125}, {"start": 4897.12, "end": 4898.42, "word": " discontinuity", "probability": 0.9033203125}, {"start": 4898.42, "end": 4900.04, "word": " جالتلي", "probability": 0.71807861328125}, {"start": 4900.04, "end": 4900.22, "word": " ان", "probability": 0.73876953125}, {"start": 4900.22, "end": 4900.36, "word": " الـ", "probability": 0.3072509765625}, {"start": 4900.36, "end": 4901.02, "word": " decomposite", "probability": 0.55712890625}, {"start": 4901.02, "end": 4901.26, "word": " F", "probability": 0.509765625}, {"start": 4901.26, "end": 4901.6, "word": " need", "probability": 0.475341796875}, {"start": 4901.6, "end": 4902.0, "word": " not", "probability": 0.92822265625}, {"start": 4902.0, "end": 4902.16, "word": " to", "probability": 0.87548828125}, {"start": 4902.16, "end": 4902.28, "word": " be", "probability": 0.9619140625}, {"start": 4902.28, "end": 4903.06, "word": " integrable", "probability": 0.8777669270833334}, {"start": 4903.06, "end": 4903.82, "word": " وهي", "probability": 0.840576171875}, {"start": 4903.82, "end": 4904.68, "word": " المثال", "probability": 0.9806315104166666}, {"start": 4904.68, "end": 4906.24, "word": " أمامكم", "probability": 0.8720703125}, {"start": 4906.24, "end": 4907.5, "word": " و", "probability": 0.60595703125}, {"start": 4907.5, "end": 4907.5, "word": " ..", "probability": 0.379638671875}, {"start": 4907.5, "end": 4907.86, "word": " و", "probability": 0.8369140625}, {"start": 4907.86, "end": 4908.12, "word": " هيك", "probability": 0.9150390625}, {"start": 4908.12, "end": 4908.4, "word": " بيكون", "probability": 0.8211263020833334}, {"start": 4908.4, "end": 4908.66, "word": " احنا", "probability": 0.9249674479166666}, {"start": 4908.66, "end": 4909.44, "word": " خلصنا", "probability": 0.885986328125}, {"start": 4909.44, "end": 4910.16, "word": " ال", "probability": 0.86865234375}, {"start": 4910.16, "end": 4910.72, "word": " section", "probability": 0.865234375}, {"start": 4910.72, "end": 4911.58, "word": " التاني", "probability": 0.9698893229166666}, {"start": 4911.58, "end": 4911.8, "word": " من", "probability": 0.95751953125}, {"start": 4911.8, "end": 4912.0, "word": " اللي", "probability": 0.95263671875}, {"start": 4912.0, "end": 4912.3, "word": " هو", "probability": 0.9921875}, {"start": 4912.3, "end": 4912.82, "word": " chapter", "probability": 0.765625}, {"start": 4912.82, "end": 4913.16, "word": " 7", "probability": 0.66650390625}], "temperature": 1.0}, {"id": 207, "seek": 493055, "start": 4914.25, "end": 4930.55, "text": "و هاي ال homework عندكم مطلوبة 1,2,4,7,10,17,18,19 و ان شاء الله المرة القادمة بنكمل و بنشرح 7.3 اللي هو ال fundamental theorem of calculus", "tokens": [2407, 8032, 47302, 2423, 14578, 43242, 24793, 3714, 9566, 1211, 37746, 3660, 502, 11, 17, 11, 19, 11, 22, 11, 3279, 11, 7773, 11, 6494, 11, 3405, 4032, 16472, 13412, 16606, 21984, 9673, 25720, 25062, 18513, 46007, 44945, 24793, 1211, 4032, 44945, 46309, 5016, 1614, 13, 18, 13672, 1829, 31439, 2423, 8088, 20904, 295, 33400], "avg_logprob": -0.1951729878783226, "compression_ratio": 1.2160493827160495, "no_speech_prob": 0.0726318359375, "words": [{"start": 4914.25, "end": 4915.05, "word": "و", "probability": 0.5263671875}, {"start": 4915.05, "end": 4915.33, "word": " هاي", "probability": 0.496826171875}, {"start": 4915.33, "end": 4915.43, "word": " ال", "probability": 0.955078125}, {"start": 4915.43, "end": 4915.87, "word": " homework", "probability": 0.78759765625}, {"start": 4915.87, "end": 4916.73, "word": " عندكم", "probability": 0.9189453125}, {"start": 4916.73, "end": 4917.71, "word": " مطلوبة", "probability": 0.91376953125}, {"start": 4917.71, "end": 4917.87, "word": " 1", "probability": 0.28857421875}, {"start": 4917.87, "end": 4918.13, "word": ",2", "probability": 0.5621337890625}, {"start": 4918.13, "end": 4918.47, "word": ",4", "probability": 0.9521484375}, {"start": 4918.47, "end": 4918.75, "word": ",7", "probability": 0.950439453125}, {"start": 4918.75, "end": 4919.07, "word": ",10", "probability": 0.939208984375}, {"start": 4919.07, "end": 4919.47, "word": ",17", "probability": 0.880859375}, {"start": 4919.47, "end": 4920.11, "word": ",18", "probability": 0.957275390625}, {"start": 4920.11, "end": 4920.65, "word": ",19", "probability": 0.97216796875}, {"start": 4920.65, "end": 4921.65, "word": " و", "probability": 0.8603515625}, {"start": 4921.65, "end": 4921.79, "word": " ان", "probability": 0.51953125}, {"start": 4921.79, "end": 4922.03, "word": " شاء", "probability": 0.98974609375}, {"start": 4922.03, "end": 4922.23, "word": " الله", "probability": 0.94091796875}, {"start": 4922.23, "end": 4922.63, "word": " المرة", "probability": 0.9677734375}, {"start": 4922.63, "end": 4923.33, "word": " القادمة", "probability": 0.9884440104166666}, {"start": 4923.33, "end": 4925.57, "word": " بنكمل", "probability": 0.9085286458333334}, {"start": 4925.57, "end": 4926.15, "word": " و", "probability": 0.86865234375}, {"start": 4926.15, "end": 4927.25, "word": " بنشرح", "probability": 0.96142578125}, {"start": 4927.25, "end": 4927.61, "word": " 7", "probability": 0.72802734375}, {"start": 4927.61, "end": 4928.17, "word": ".3", "probability": 0.8466796875}, {"start": 4928.17, "end": 4928.41, "word": " اللي", "probability": 0.81005859375}, {"start": 4928.41, "end": 4928.53, "word": " هو", "probability": 0.984375}, {"start": 4928.53, "end": 4928.63, "word": " ال", "probability": 0.705078125}, {"start": 4928.63, "end": 4928.95, "word": " fundamental", "probability": 0.69189453125}, {"start": 4928.95, "end": 4929.59, "word": " theorem", "probability": 0.9072265625}, {"start": 4929.59, "end": 4930.03, "word": " of", "probability": 0.97509765625}, {"start": 4930.03, "end": 4930.55, "word": " calculus", "probability": 0.63818359375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 4931.0128125, "duration_after_vad": 4814.381875000008}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/7kAGhF5ugUM_postprocess.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/7kAGhF5ugUM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c3b8ca422000498a22af01c69129a0112813e5bb
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/7kAGhF5ugUM_postprocess.srt
@@ -0,0 +1,2592 @@
+1
+00:00:10,580 --> 00:00:15,760
+إيش يا أبو حسين؟ بسم الله الرحمن الرحيم الحمد لله
+
+2
+00:00:15,760 --> 00:00:18,980
+رب العالمين والصلاة والسلام على سيد المرسلين سيدنا
+
+3
+00:00:18,980 --> 00:00:24,540
+محمد وعلى آله وصحبه أجمعين هذه هي المحاضرة رقم 17
+
+4
+00:00:24,540 --> 00:00:29,900
+في مساق تحليل حقيقة 2 لطلاب وطالبات الجامعة
+
+5
+00:00:29,900 --> 00:00:37,170
+الإسلامية كلية العلود قسم الرياضيةبدأنا اليوم
+
+6
+00:00:37,170 --> 00:00:41,490
+استكمال للي بدأنا المرة الماضية حكينا المرة
+
+7
+00:00:41,490 --> 00:00:48,070
+الماضية عن الـ integration as a limit قلنا احنا
+
+8
+00:00:48,070 --> 00:00:51,970
+قبل كنا معرفين ال integration انه موجود على أساس
+
+9
+00:00:51,970 --> 00:00:56,950
+ان ال upper integral U of F يساوي ال lower
+
+10
+00:00:56,950 --> 00:01:01,710
+integral L of F قلنا المرة الماضية ان احنا بدنا
+
+11
+00:01:01,710 --> 00:01:07,300
+نروح باتجاهإنه نصل في النهاية إنه هذا الكلام اللي
+
+12
+00:01:07,300 --> 00:01:11,440
+هو الـ Integrability يكافئ إن نصل إنه ال limit
+
+13
+00:01:11,440 --> 00:01:14,760
+طبعا وفي حالة وجوده هنسميه بساوة ال integration من
+
+14
+00:01:14,760 --> 00:01:19,940
+a ل b of x dx قلنا المرة الماضية إنه هنصل في
+
+15
+00:01:19,940 --> 00:01:25,600
+النهاية في نهاية ال section 7-4 إنه هذا اللي هو ال
+
+16
+00:01:25,600 --> 00:01:28,840
+condition أو هذا ال definition يكافئ إنه نقول
+
+17
+00:01:28,840 --> 00:01:35,640
+limit اللي هو SB و F as normal B أو المش تبع الـ B
+
+18
+00:01:35,640 --> 00:01:41,100
+بيروح لـ 0 و في هذه الحالة إذا كان هذا exist بيصير
+
+19
+00:01:41,100 --> 00:01:45,380
+.. هيساوي ال integration من A ل B F of X DX يعني
+
+20
+00:01:45,380 --> 00:01:49,500
+بمعنى آخر .. بمعنى آخر أنه اللي هو هذا طبعا الـ
+
+21
+00:01:49,500 --> 00:01:55,460
+Riemann Sum أنه الـ limitلرمان sum as الـ
+
+22
+00:01:55,460 --> 00:02:00,020
+partition B بيروح للـ 0 لو كان exist حسير اللي هي
+
+23
+00:02:00,020 --> 00:02:04,220
+F is integrable والـ integration لها هو عبارة عن
+
+24
+00:02:04,220 --> 00:02:09,520
+قيمة هذا الـ limitولو كان ال integration exist
+
+25
+00:02:09,520 --> 00:02:14,040
+طبعا بالمفهوم اللي هو هذا هيكون عنده ال limit هذا
+
+26
+00:02:14,040 --> 00:02:18,300
+exist و هيساوي قيمة مين ال integration هذا اللي
+
+27
+00:02:18,300 --> 00:02:22,260
+حنصل إليه في النهاية اللي حكيناه المرة الماضية
+
+28
+00:02:22,260 --> 00:02:27,380
+بشكل سريع اللي هو عرفنا إيش هو معنات اللي هو ال
+
+29
+00:02:27,380 --> 00:02:32,080
+remand صم اللي أمامنا هذابعد هيكة اللي هو إيجينا
+
+30
+00:02:32,080 --> 00:02:36,600
+أخدنا اللي هي الخاصية الأولى قلنا دايما الريمان
+
+31
+00:02:36,600 --> 00:02:41,140
+sum بين اللي هو ال lower sum و بين ال upper sum و
+
+32
+00:02:41,140 --> 00:02:46,080
+بعدين اللي هو إيجينا قلنا اللي هو النظرية ال .. ال
+
+33
+00:02:46,080 --> 00:02:47,220
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+34
+00:02:47,220 --> 00:02:47,280
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+35
+00:02:47,280 --> 00:02:48,000
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+36
+00:02:48,000 --> 00:02:48,120
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+37
+00:02:48,120 --> 00:02:49,580
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+38
+00:02:49,580 --> 00:02:49,700
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+39
+00:02:49,700 --> 00:02:50,220
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+40
+00:02:50,220 --> 00:02:59,260
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال ..إذا
+
+41
+00:02:59,260 --> 00:03:03,200
+كانت F Integrable إذا لكل Y أكبر من 0 نجدر نلاقي
+
+42
+00:03:03,200 --> 00:03:07,220
+partition بي إبسلون و by such that إذا كانت بي أي
+
+43
+00:03:07,220 --> 00:03:10,600
+اللي هو refinement partition refinement للبي
+
+44
+00:03:10,600 --> 00:03:14,260
+إبسلون يعني يحتوي البي إبسلون هيكون و كان عند ال
+
+45
+00:03:14,260 --> 00:03:18,540
+SPUF عبارة عن اللي هو الريمان sumبكون الـ absolute
+
+46
+00:03:18,540 --> 00:03:21,300
+value ال integration بين S بي و F مقصد ال
+
+47
+00:03:21,300 --> 00:03:24,840
+integration أش ماله أصغر من مين من إبسلون يعني لو
+
+48
+00:03:24,840 --> 00:03:28,460
+F is integrable هنلاقي بي إبسلون بحيث كل ال B
+
+49
+00:03:28,460 --> 00:03:31,540
+بتحتوي بي إبسلون هيكون ال absolute value بين
+
+50
+00:03:31,540 --> 00:03:36,400
+الرمان صموا هذا أصغر من مين من اللي هي إيش إبسلون
+
+51
+00:03:36,820 --> 00:03:41,900
+طيب بعد هي كتب عن البرهناها هذه وصار في عندي الآن
+
+52
+00:03:41,900 --> 00:03:46,240
+اللي هو النظرية الثانية أيضا برهناها و النظرية
+
+53
+00:03:46,240 --> 00:03:52,110
+الثانية كانت تقول أنه لو كانت F is boundedالان ..
+
+54
+00:03:52,110 --> 00:03:57,250
+وقدرنا .. وبدنا الان نفترض انه لجينا اللي هو
+
+55
+00:03:57,250 --> 00:04:01,830
+number a يحقق مالي ايش هذا number a يحقق انه لكل
+
+56
+00:04:01,830 --> 00:04:04,890
+epsilon أكبر من 0 ونلاقي بي ابسلون بحيث انه أي بي
+
+57
+00:04:04,890 --> 00:04:11,040
+يحتوي بي ابسلون و S اللي هي أي رمان sumوthen اللي
+
+58
+00:04:11,040 --> 00:04:16,060
+هي s,b وf ناقص a أصغر من إبسلون إذا كان هذا الكلام
+
+59
+00:04:16,060 --> 00:04:19,480
+كله على بعض اتحقق لما نلاقي a بحيث يقول كل إبسلون
+
+60
+00:04:19,480 --> 00:04:24,180
+أكبر من سفر اللي هو نلاقي بي إبسلون لو كان بي
+
+61
+00:04:24,180 --> 00:04:27,740
+إبسلون بحيث أن بي بتحتوي بي إبسلون وهذا ال remand
+
+62
+00:04:27,740 --> 00:04:32,030
+sum هيعطيني هذههذا كله على بعض ال conditions زي ما
+
+63
+00:04:32,030 --> 00:04:35,410
+قلنا المرة الماضية بيعطينا ان F اي شمالها
+
+64
+00:04:35,410 --> 00:04:39,270
+integrable وهذا الـ A اللي حقق هذه الشروط هنا هو
+
+65
+00:04:39,270 --> 00:04:44,050
+قيمة ال integration هذا اللي حكيناه المرة الماضية
+
+66
+00:04:44,050 --> 00:04:51,120
+و بعدين اللي هوأحنا إجينا وعرفنا شو معنات ال مش أو
+
+67
+00:04:51,120 --> 00:04:54,800
+ال norm إذا بذكركم ال مش أو ال norm هو عبارة عن ال
+
+68
+00:04:54,800 --> 00:05:00,140
+supremum لاللي هي أطوال ال subintervals تبعات ال
+
+69
+00:05:00,140 --> 00:05:03,060
+partition قلنا ال norm للبيبس أو ال supremum لهذه
+
+70
+00:05:03,060 --> 00:05:07,280
+اللي هي الأطوال تبعات ال subintervals اللي ناتجة
+
+71
+00:05:07,280 --> 00:05:11,550
+من ال partition Bهذا اسمنا المش أو ال norm أخدنا
+
+72
+00:05:11,550 --> 00:05:17,230
+بعض اللي هي الخواص وصُجفنا عند مين؟ عند Darabox's
+
+73
+00:05:17,230 --> 00:05:20,690
+theorem اليوم بدنا نبدأ نشرح في مين في Darabox's
+
+74
+00:05:20,690 --> 00:05:24,230
+theorem نشوف أيش Darabox's theorem بتقول الآن بقول
+
+75
+00:05:24,230 --> 00:05:28,990
+لي let i بتساوي a و bاللي هي bounded interval و F
+
+76
+00:05:28,990 --> 00:05:32,910
+من I لعنب R Integrable on I in the sense of
+
+77
+00:05:32,910 --> 00:05:38,050
+definition mean 716 يعني بقول لي نفترض أن F is an
+
+78
+00:05:38,050 --> 00:05:42,830
+integrable function حسب تعريف mean 716 يعني ال
+
+79
+00:05:42,830 --> 00:05:46,470
+upper integral بسوء ال lower integral بسوء ال
+
+80
+00:05:46,470 --> 00:05:50,350
+integration هذا اللي هو ال definition 716 الآن
+
+81
+00:05:50,350 --> 00:05:56,710
+بقول لي then for every epsilon أكبر من 0then for
+
+82
+00:05:56,710 --> 00:06:02,450
+every epsilon أكبر من صفر there exists delta such
+
+83
+00:06:02,450 --> 00:06:07,150
+thatالان لو كان P is any partition of I و ال
+
+84
+00:06:07,150 --> 00:06:11,710
+normal P أصغر من Delta و كان عند ال S P و F اللي
+
+85
+00:06:11,710 --> 00:06:15,810
+هو is any corresponding Riemann sum then ال
+
+86
+00:06:15,810 --> 00:06:19,450
+integration بين ال S P .. البعد بين ال integration
+
+87
+00:06:19,450 --> 00:06:23,670
+بين ال S P و ال integration أصغر من مين أصغر من
+
+88
+00:06:23,670 --> 00:06:28,990
+Epsilon بس
+
+89
+00:06:28,990 --> 00:06:29,910
+بقى في دقيقة يا أبو حسن
+
+90
+00:06:59,460 --> 00:07:03,900
+أيوة أنا في محاضرة .. أنا في محاضرة وبسجل .. أيوة
+
+91
+00:07:03,900 --> 00:07:08,400
+أه في
+
+92
+00:07:08,400 --> 00:07:16,360
+كلية العلوم؟ من قالك في كلية العلوم؟
+
+93
+00:07:16,360 --> 00:07:18,500
+لأ يا عم أنا روحت على دراسات العلوم اللي قالولي
+
+94
+00:07:18,500 --> 00:07:27,580
+طلعن أه .. بعرفش .. بعرفش كلام هو صحيح ولا لأ لأ
+
+95
+00:07:27,580 --> 00:07:33,080
+لأبقى طيب يا راجل أنا في المحاضرة ماشي مع السلام
+
+96
+00:07:33,080 --> 00:07:40,800
+.. ماشي بقى كله مروح مع السلام ليش؟
+
+97
+00:07:40,800 --> 00:07:44,040
+مع السلام .. بس شوف كيف مع السلام
+
+98
+00:08:32,780 --> 00:08:36,900
+اعطيني بس تليفون هذا في العلوم 1600 انا عارف الله
+
+99
+00:08:36,900 --> 00:08:41,780
+ده
+
+100
+00:08:41,780 --> 00:08:45,660
+الدس
+
+101
+00:08:45,660 --> 00:08:50,040
+اه هو كيد روح اذا ابو بلال الموجود روح
+
+102
+00:09:15,660 --> 00:09:18,500
+عليكم السلام عليك يا أبو ساما كيف حالك؟ كيف صحتك؟
+
+103
+00:09:18,500 --> 00:09:21,980
+الله بعرفيك الحمد لله الله عزيزي عنك هل في إلي
+
+104
+00:09:21,980 --> 00:09:28,260
+عندكم رسالة تابعة السناق؟ و تابعة ياسر؟ طب .. طب
+
+105
+00:09:28,260 --> 00:09:33,820
+.. مين عندك؟ قاعد بتسأل عليه لو .. لو أبو أكرم
+
+106
+00:09:33,820 --> 00:09:36,880
+أخدن بس و حطن في غرفتي لأنه أنا قاعد بصور والله
+
+107
+00:09:36,880 --> 00:09:42,060
+يبقى اه .. اه .. اه .. الله يبارك فيا يا عزيزي انا
+
+108
+00:09:42,060 --> 00:09:50,370
+بجيبها المفتاح هوأه أه ماشي
+
+109
+00:09:50,370 --> 00:09:54,770
+لو حتى أنا يعني أنا موجود بس بنتأخر يعني التصوير
+
+110
+00:09:54,770 --> 00:09:59,950
+ممكن أظل التلاتة ماشي ماشي الله أبقى أرفع حاجة
+
+111
+00:09:59,950 --> 00:10:03,290
+لإنه بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس
+
+112
+00:10:03,290 --> 00:10:03,490
+بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس
+
+113
+00:10:03,490 --> 00:10:06,830
+بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس
+
+114
+00:10:06,830 --> 00:10:08,250
+ب
+
+115
+00:10:27,230 --> 00:10:30,330
+أدن درابكس الـ theorem زي ما قلنا إن لو كانت F
+
+116
+00:10:30,330 --> 00:10:34,600
+انتجرة بالـ functionبقول إذا لكل إبسلون أكبر من 0
+
+117
+00:10:34,600 --> 00:10:38,780
+بقدر ألاقي Delta أكبر من 0 بحيث أنه لو كان بي أي
+
+118
+00:10:38,780 --> 00:10:41,620
+partition بحيث أنه ال .. اللي هو ال .. ال .. ال
+
+119
+00:10:41,620 --> 00:10:44,980
+norm للـ B أصغر من Delta و S, B و F أي
+
+120
+00:10:44,980 --> 00:10:49,420
+corresponding remand sum بالنسبة للـ B هيعطيني أنه
+
+121
+00:10:49,420 --> 00:10:52,860
+ال absolute value بين اللي هو أو البعد بين S, B و
+
+122
+00:10:52,860 --> 00:10:57,780
+F ناقص ال integration أصغر من إبسلون يعني و كأنه
+
+123
+00:10:57,780 --> 00:11:02,190
+بقول من تحت بطنانه ال integration ال integration
+
+124
+00:11:02,190 --> 00:11:08,710
+لل F لو F is integrable بيعطينا انه بمفهوم اللي هو
+
+125
+00:11:08,710 --> 00:11:18,140
+سبعة واحد ستة بكون عنده limit ال SB وF as normal B
+
+126
+00:11:18,140 --> 00:11:24,320
+بروح للسفر بسوا بالظبط integration من A لB F of X
+
+127
+00:11:24,320 --> 00:11:29,260
+DX لأن ايش معناته هذا؟ معناته هذا اللي هو حسب الـ
+
+128
+00:11:29,260 --> 00:11:32,160
+Epsilon Delta Definition for every Epsilon أكبر من
+
+129
+00:11:32,160 --> 00:11:36,740
+سفر there exists Delta أكبر من سفر such that if
+
+130
+00:11:36,740 --> 00:11:43,170
+normal B أصغر، ناقص السفر أصغر من دلتاthen هيعطيني
+
+131
+00:11:43,170 --> 00:11:46,810
+الـ absolute value للـ S, P و F ناقص ال
+
+132
+00:11:46,810 --> 00:11:52,650
+integration من A ل B F of X DX كله أصغر من مين من
+
+133
+00:11:52,650 --> 00:11:56,790
+إبسلون إذا اللي بدنا نتبته بدنا لكل إبسلون نلاقي
+
+134
+00:11:56,790 --> 00:12:01,870
+Deltaبحيث أنه لما أي partition نورمه أصغر من Delta
+
+135
+00:12:01,870 --> 00:12:05,510
+يعطيني الفرق بين الـ Riemann Sum و بين الـ
+
+136
+00:12:05,510 --> 00:12:08,910
+Integration يكون أصغر من مين؟ من Epsilon هذه اللي
+
+137
+00:12:08,910 --> 00:12:11,990
+هي اللي بتقولنا درابوكس Theorem أنه لو F is
+
+138
+00:12:11,990 --> 00:12:15,610
+integrable إذا اللي هو الـ limit لاللي هو الـ
+
+139
+00:12:15,610 --> 00:12:18,730
+Riemann Sum هو حيساوي هذا ال integration اللي
+
+140
+00:12:18,730 --> 00:12:23,330
+فرضنا إحنا إشماله أنه موجود خلينا نشوف كيف بدنا
+
+141
+00:12:23,330 --> 00:12:29,380
+انبرهن النظرية و ركزوا معاياوتبعوا إيش اللي بدنا
+
+142
+00:12:29,380 --> 00:12:35,200
+نحكيه عشان نصل للي هو المطلوب طيب صلى الله عليه
+
+143
+00:12:35,200 --> 00:12:41,370
+الصلاة والسلام أول إشي بما أن F is integrableالـ
+
+144
+00:12:41,370 --> 00:12:42,290
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+145
+00:12:42,290 --> 00:12:42,330
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+146
+00:12:42,330 --> 00:12:43,190
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+147
+00:12:43,190 --> 00:12:43,510
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+148
+00:12:43,510 --> 00:12:44,470
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+149
+00:12:44,470 --> 00:12:50,750
+ال .. ال .. ال .. ال .. ال ..
+
+150
+00:12:50,750 --> 00:12:52,070
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+151
+00:12:52,070 --> 00:12:53,590
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+152
+00:12:53,590 --> 00:12:53,750
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+153
+00:12:53,750 --> 00:12:54,490
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+154
+00:12:54,490 --> 00:12:54,910
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+155
+00:12:54,910 --> 00:13:02,270
+.. ال .. ال .. ال .. الإذن الآن أخفرضت epsilon
+
+156
+00:13:02,270 --> 00:13:06,870
+arbitrary بدي أدور على الـ delta اللي لما ال
+
+157
+00:13:06,870 --> 00:13:10,630
+normal بيه أصغر من delta يعطيني الفرق بين هذه و
+
+158
+00:13:10,630 --> 00:13:14,710
+هذه أصغر من مين من epsilon لذا هيك رايح أنا لأن
+
+159
+00:13:14,710 --> 00:13:19,400
+إذن بما أن أفنتي جربت لكل epsilon أكبر من 0بقدر
+
+160
+00:13:19,400 --> 00:13:23,980
+ألاقي partition الآن سميته بي إبسلون اللي هو x0 و
+
+161
+00:13:23,980 --> 00:13:29,400
+x1 لعندي xn such that ال U ال upper sum لل بي
+
+162
+00:13:29,400 --> 00:13:32,340
+إبسلون و F ناقص ال lower sum لل بي إبسلون و F أصغر
+
+163
+00:13:32,340 --> 00:13:35,780
+من مين من إبسلون سميتهاش أنا إبسلون على تلاتة
+
+164
+00:13:35,780 --> 00:13:38,700
+للحسابات طبعا أصغر من إبسلون في الدنيا من ضمنها
+
+165
+00:13:38,700 --> 00:13:45,040
+الإبسلون على تلاتة هذا حسب الريمان criterion أو ال
+
+166
+00:13:45,040 --> 00:13:51,190
+integrable criterionطيب moreover لأن لو كانت عندي
+
+167
+00:13:51,190 --> 00:13:55,650
+ال B أي B partition بحتوى ال بي إبسلون أكيد هيكون
+
+168
+00:13:55,650 --> 00:13:59,550
+اللي هو ال .. ال .. ال .. هذا بيصير refinement
+
+169
+00:13:59,550 --> 00:14:04,410
+مدام refinement ال refinement التحسين ال lower
+
+170
+00:14:04,410 --> 00:14:09,670
+بعله و ال upper بقاشه بينزل يعني بمعنى أخر هيكون
+
+171
+00:14:09,670 --> 00:14:13,030
+ال lower لل refine .. لل refinement أو التحسين
+
+172
+00:14:13,030 --> 00:14:17,240
+أكبر أوي سوى مين ال lower للأصل ال بي إبسلونوأكيد
+
+173
+00:14:17,240 --> 00:14:20,840
+الـ lower لل B و ال F أكيد أصغر أو سوء القبر لل B
+
+174
+00:14:20,840 --> 00:14:24,780
+و ال F in general و القبر لل B و F قلنا مدامه
+
+175
+00:14:24,780 --> 00:14:29,600
+تحسين إذا أكيد بنزل بصغر عن مين عن اللي صار له
+
+176
+00:14:29,600 --> 00:14:34,960
+تحسين اللي هو مين U, B, Y و F إذا صار عندي الآن ..
+
+177
+00:14:34,960 --> 00:14:45,230
+هي عندي ال L .. ال L, B, Y و F وهذا L, B و Fوهذا
+
+178
+00:14:45,230 --> 00:14:51,650
+الـ U, B و F وهذا الـ U, B, E, F واضح إن المسافة
+
+179
+00:14:51,650 --> 00:14:58,430
+بين الـ U, B, E, F و الـ L, B, E, F أكيد أكبر أو
+
+180
+00:14:58,430 --> 00:15:02,550
+تساوي المسافة بين الـ U و الـ L للـ B و الـ F يعني
+
+181
+00:15:02,550 --> 00:15:05,710
+هذه المسافة واضح إنها أكبر أو تساوي هذه المسافة
+
+182
+00:15:05,710 --> 00:15:12,000
+يعني بمعنى آخر هيكون الـ U, B, Fنقص lbf أصغر أو
+
+183
+00:15:12,000 --> 00:15:15,240
+يساوي لـ U بي إبسلون نقص ل L بي إبسلون و F هذا
+
+184
+00:15:15,240 --> 00:15:21,260
+لمين؟ عدي ال .. ال .. ال بي إبسلون من فوق حصلنا
+
+185
+00:15:21,260 --> 00:15:24,940
+عنها أصغر من إبسلون ع تلاتة إذا صار عند ال U بي إف
+
+186
+00:15:24,940 --> 00:15:29,500
+و ال L بي إف المسافة بينهم برضه أصغر من مين؟ من
+
+187
+00:15:29,500 --> 00:15:35,360
+إبسلون ع تلاتة إذا الآن صار عند أيب لجأت الـ
+
+188
+00:15:35,360 --> 00:15:39,840
+بإبسلون و أي بي بيحتوى الـ بإبسلون لجئنا المسافة
+
+189
+00:15:39,840 --> 00:15:47,880
+بين الـ U بي و F ناقص الـ L بي و F أصغر من مين من
+
+190
+00:15:47,880 --> 00:15:53,710
+إبسلون على 3ماشي الحال هذا اللي حصلناه في الأول
+
+191
+00:15:53,710 --> 00:15:57,170
+الآن احنا زي ما قلنا ادورتنا ع مين يا جماعة
+
+192
+00:15:57,170 --> 00:16:01,210
+ادورتنا على الـ Delta اللي لما ال Normal بيه أصغر
+
+193
+00:16:01,210 --> 00:16:04,330
+من Delta يعطينا المسافة بين الريمان صموا ال
+
+194
+00:16:04,330 --> 00:16:08,670
+integration أصغر من إيش من أبسلون الآن أنا بتدعي
+
+195
+00:16:08,670 --> 00:16:15,060
+أو الكاتب بتدعي أنههناخد Delta بقيمة معينة و هتشوف
+
+196
+00:16:15,060 --> 00:16:17,960
+إنها فعلاً هذه الـ Delta بتحقق طبعاً الـ Delta هذه
+
+197
+00:16:17,960 --> 00:16:22,160
+نتيجة إحسابات اللي هو بيبقى مشة على برهان كامل و
+
+198
+00:16:22,160 --> 00:16:26,400
+في الآخر لجأ الإحساب اللي بيخلي اللي هو قيمة هنا
+
+199
+00:16:26,400 --> 00:16:30,540
+Epsilon الدلتة اللي بياخدها الآن طيب، قبل ما نقول
+
+200
+00:16:30,540 --> 00:16:34,560
+إيش الـ Delta بدنا نعطي الرمز الـ F is bounded,
+
+201
+00:16:34,740 --> 00:16:37,220
+integrable لإنها مدام bounded أو integrable
+
+202
+00:16:37,220 --> 00:16:41,460
+السبريمم إلها على كل الفترة موجودخُد الـ Supremum
+
+203
+00:16:41,460 --> 00:16:45,200
+لقيمة الدالة F of X للـ X element in the interval
+
+204
+00:16:45,200 --> 00:16:49,940
+I سميها إيش بتساوي؟ سميها بتساوي M Capital، ماشي
+
+205
+00:16:49,940 --> 00:16:54,360
+الحال، الان بادعي الان إن دلتا اللي هتظبط معنى و
+
+206
+00:16:54,360 --> 00:16:57,320
+تجيبلنا اللي هو القيمة اللي بدنا إياها اللي هي
+
+207
+00:16:57,320 --> 00:17:00,180
+أصغر من إبسلون، اللي هي دلتا بتساوي إبسلون على
+
+208
+00:17:00,180 --> 00:17:05,140
+اتناشر N في مين في M N مين هذه، N اللي ظهرت في ال
+
+209
+00:17:05,140 --> 00:17:09,750
+partition هنا اللي هو عدد عناصر ال partitionاللي
+
+210
+00:17:09,750 --> 00:17:14,490
+جزأني الفترة هي N زائد 1 هذا مين ال partition اللي
+
+211
+00:17:14,490 --> 00:17:19,790
+لجيته في الريمان من خلال الintegrability للأفإذاً
+
+212
+00:17:19,790 --> 00:17:24,370
+where الـ N زائد واحد is the number of parts in B
+
+213
+00:17:24,370 --> 00:17:29,190
+إبسلون يعني الـ Delta بتساوي إبسلون على 12 في N
+
+214
+00:17:29,190 --> 00:17:33,370
+الـ N ارتبطت بال partition اللي لجيته والـ M هي
+
+215
+00:17:33,370 --> 00:17:39,250
+عبارة عن ال supremum لكل الدالة على كل الفترة
+
+216
+00:17:39,250 --> 00:17:41,410
+المذكورة نيجي الآن
+
+217
+00:17:46,350 --> 00:17:53,750
+Now let Q بيساوي Y not Y واحد و Y اتنين لعند Y M
+
+218
+00:17:53,750 --> 00:17:59,890
+مش N، Y M ماشي بـany partition of I with ال
+
+219
+00:17:59,890 --> 00:18:03,550
+absolute value للـQ أو ال norm للـQ أصغر من Delta
+
+220
+00:18:04,420 --> 00:18:08,500
+أيش يا جماعة قاعد أنا أحاول أصل للي بديها؟ أيش
+
+221
+00:18:08,500 --> 00:18:12,080
+غرضي؟ إن لكل epsilon أكبر من 0 بدي ألاقي delta
+
+222
+00:18:12,080 --> 00:18:16,600
+بحيث أنه أي partition أصغر من delta norm يعطيني
+
+223
+00:18:16,600 --> 00:18:21,320
+الفرق بين رمان صمه وال integration أصغر من epsilon
+
+224
+00:18:21,320 --> 00:18:27,660
+وكأنه الآن بدأت أحط أيدي على الجرح وأصل أقول let Q
+
+225
+00:18:27,660 --> 00:18:34,780
+بيساوي Y0 Y1 YM بأي partitionNormal أصغر من مين؟
+
+226
+00:18:34,780 --> 00:18:40,260
+من Delta متوقع أنا أنه في النهاية عشان أخلص
+
+227
+00:18:40,260 --> 00:18:47,200
+النظرية أثبتلك أنه ال absolute value لأ اللي هو ال
+
+228
+00:18:47,200 --> 00:18:55,230
+S ال UFناقص ال integration من قلبي f of x dx يطلع
+
+229
+00:18:55,230 --> 00:19:00,290
+لي أصغر من مين من إبسلون إذا أثبتت هذا بناء على
+
+230
+00:19:00,290 --> 00:19:05,830
+إختياري للـ Delta اللي عندي وبناء على كل ال cues
+
+231
+00:19:05,830 --> 00:19:10,490
+اللي نورهم أصغر من Delta يعطيني هذا ناقص هذا أصغر
+
+232
+00:19:10,490 --> 00:19:14,210
+من إبسلون وبقول خلصت وبرهنت اللي هي نظريتي
+
+233
+00:19:14,210 --> 00:19:19,350
+درابوكسيز theoremخلّينا نشوف كيف بدنا نروح لهذه
+
+234
+00:19:19,350 --> 00:19:24,810
+اللي هي نثبتها إنها أصغر من إبسلون تعالي شوية الآن
+
+235
+00:19:24,810 --> 00:19:31,630
+لأن let Q*) بسوى Q اتحادين بإبسلون هذه بي إبسلون
+
+236
+00:19:31,630 --> 00:19:37,210
+مين اللي لجيتها فوق اللي هي عبارة عن بي إبسلون
+
+237
+00:19:38,430 --> 00:19:43,870
+بإبسلون هي الفترة من a لعند b بإبسلون اللي هي أش
+
+238
+00:19:43,870 --> 00:19:50,850
+جزأة للفترة هذه هذي x note هذي x1 هذي x2 هذي x3
+
+239
+00:19:50,850 --> 00:19:56,430
+لما أصل xn ناقص واحد لما أصل هنا عند مين xn اللي
+
+240
+00:19:56,430 --> 00:20:01,390
+هي مين ال b هذي مين جزأها جزء الفترة هذه واحدة
+
+241
+00:20:01,390 --> 00:20:08,190
+اسمها بإبسلوننيجي الآن اتجزأت الفترة بمين بالـ Q
+
+242
+00:20:08,190 --> 00:20:17,270
+الـ Q مين هي بدأت ب Y note طبعا هي ايه Y1 و Y2 و
+
+243
+00:20:17,270 --> 00:20:24,950
+Y3 لعند مؤصل لعند Y M ناقص واحدوهنا اللي هي YM
+
+244
+00:20:24,950 --> 00:20:29,730
+اللي هي طبعاً مين هي اللي هي الـB هذه الـQ جزقتها
+
+245
+00:20:29,730 --> 00:20:33,430
+بشكلها اللي أمامي مع العلم إن الـQ هي تبعتنا
+
+246
+00:20:33,430 --> 00:20:38,950
+لنورمها أصغر من مين من Delta الآن بيقوللي خد Q*)
+
+247
+00:20:38,950 --> 00:20:46,150
+إيش بتساوي؟ الـQ اتحاد من الـBإبسلون صارت الآن
+
+248
+00:20:46,150 --> 00:20:54,880
+الـQ هذهبساوة بي بي ستار اتحاد لـ Q هذه مين هي الـ
+
+249
+00:20:54,880 --> 00:21:01,100
+Q star طبعا النقطة الأولى X not هي نفسها Y not
+
+250
+00:21:01,100 --> 00:21:06,840
+والـ Xn هي مين الـ Yn اللي يعني ممكن يكون
+
+251
+00:21:06,840 --> 00:21:11,380
+المختلفات اللي هي من X واحد لعند Xn نقص واحد يكون
+
+252
+00:21:11,380 --> 00:21:16,890
+المختلفات عن هدول الاتحادأقصى حدودهم يعني إذا بدهم
+
+253
+00:21:16,890 --> 00:21:21,430
+يعملنّي sub intervals زيادات هيكون أقصى حدودهم
+
+254
+00:21:21,430 --> 00:21:27,290
+اللي لنا اللي هي X1 و X2 و X3 و X-1 ماتنطبقش ولا
+
+255
+00:21:27,290 --> 00:21:33,810
+على أي Y1 ولا Y2 ولا Y3 ولا Y أم minus 1 متى ما
+
+256
+00:21:33,810 --> 00:21:38,410
+انطبقلنش معناته أنه هيكونين وين موجودات في داخل ال
+
+257
+00:21:38,410 --> 00:21:42,630
+intervals معناته كل واحدة عملتلها إلا عن فترة تاني
+
+258
+00:21:42,630 --> 00:21:46,550
+جداداللي هو في الفترة تانية الإجداد يعني لو إجت
+
+259
+00:21:46,550 --> 00:21:51,390
+هنا الـ X1 هنا مثلا بيكون هذه عملة فترة تانية لو
+
+260
+00:21:51,390 --> 00:21:58,930
+إجينا سمينا هذه المنطقة اللي هو M1 star اللي هو M1
+
+261
+00:21:58,930 --> 00:22:02,470
+مين اللي هو ال maximum أو ال supreme على مين على
+
+262
+00:22:02,470 --> 00:22:09,510
+ال partition الجديد Q starوهذه سمناها هتكون M2*)
+
+263
+00:22:09,510 --> 00:22:15,670
+هيصير الـ M1*) بتختلف لأن هذه عبارة عن الـ
+
+264
+00:22:15,670 --> 00:22:20,490
+Supremum على المنطقة هذه بينما بالنسبة للـ Q لو
+
+265
+00:22:20,490 --> 00:22:27,030
+أجينا لـ Maximum تبعها أو Supremum تبعها هنسميه M1
+
+266
+00:22:27,030 --> 00:22:32,970
+هذا الـ M1قد يختلف عن الـ M1 Star وعن مين الـ M2
+
+267
+00:22:32,970 --> 00:22:37,610
+Star لأن الـ M1 على هذه كلها بينما الـ M1 Star على
+
+268
+00:22:37,610 --> 00:22:41,070
+هذه والـ M2 Star على هذه اللي هو الـ Supremum
+
+269
+00:22:41,070 --> 00:22:44,670
+للدالة على الجزء من هذا أو الجزء من هذا قد يختلف
+
+270
+00:22:44,670 --> 00:22:49,860
+عن الـ Supremum عن الجزء هذا يعني الآنالـ الـ الـ
+
+271
+00:22:49,860 --> 00:22:55,060
+الـ الـ subintervals جديدة هتولدلي M1 maximum
+
+272
+00:22:55,060 --> 00:23:00,700
+لعناصر للـ function على اللي هي الكلي بختلف عن مين
+
+273
+00:23:00,700 --> 00:23:07,240
+عن الجزء قد يختلفالـ N لكن اللي .. اللي .. لو كانت
+
+274
+00:23:07,240 --> 00:23:12,420
+اللي هي عدد هنا دولة اللي هي الـ N أكبر من الـ N
+
+275
+00:23:12,420 --> 00:23:19,420
+هتتوزع .. هتتوزع اللي هو الـ X1 والـ X2 لإذا
+
+276
+00:23:19,420 --> 00:23:23,280
+اختلفن كمان واتوزعن مختلفات هيتوزعن وين؟ في
+
+277
+00:23:23,280 --> 00:23:28,870
+المناطق اللي هيجبل ما نخلص الـ YM يعني هتلاقيها كل
+
+278
+00:23:28,870 --> 00:23:33,970
+واحدة مكان لأن الـ M أكبر من الـ N اللي بتضال بدون
+
+279
+00:23:33,970 --> 00:23:39,870
+ما تدخلها واحدة من الـ X1 أو X2 أو X3 هتسير في ال
+
+280
+00:23:39,870 --> 00:23:43,810
+partition الجديد Q هي نفسها في الاصل في ال
+
+281
+00:23:43,810 --> 00:23:50,140
+partition main الـ Q يعني هيكون الـ M هناstar و ال
+
+282
+00:23:50,140 --> 00:23:56,440
+M نفسها هيكون زي بعر يعني هيكون التنتين بنفس
+
+283
+00:23:56,440 --> 00:24:02,600
+القيمة عشان هيك لو أجينا طرحنا اللي هو .. اللي هي
+
+284
+00:24:02,600 --> 00:24:09,860
+قيمة ال lower sum ال upper sum على ال Q star مع ال
+
+285
+00:24:09,860 --> 00:24:16,340
+upper sum على ال Q هيصير عندي اللي هنا يظهر اللي
+
+286
+00:24:16,340 --> 00:24:22,810
+هو Mمن العادية أو M من الـ Star ناقص الـ M من الـ
+
+287
+00:24:22,810 --> 00:24:27,350
+Star لأنه بيكون قد يكون المختلفات لكن اللي هان مش
+
+288
+00:24:27,350 --> 00:24:31,050
+هيظهر لأنه هيصير الـ M ناقص M من الـ Star سفر إذن
+
+289
+00:24:31,050 --> 00:24:36,110
+هيصير عندي ظهور هذولة في أكام فترة عن أكثر هاي
+
+290
+00:24:36,110 --> 00:24:41,710
+واحدة تنتينبضل أمشي ل N ناقص واحد لإن عددنا دولة
+
+291
+00:24:41,710 --> 00:24:45,330
+من X1 عند XN ناقص واحدة كم واحدة N ناقص واحد يعني
+
+292
+00:24:45,330 --> 00:24:49,130
+على الأكثر هيكون عدد ال sub intervals اللي اجداد
+
+293
+00:24:49,130 --> 00:24:54,390
+عملاً اللي هو 2 في N ناقص واحد اللي اتجسمت تنتين
+
+294
+00:24:54,390 --> 00:25:00,590
+تنتين الآن فبصير عندي ال summation هذا لو جينا لو
+
+295
+00:25:00,590 --> 00:25:08,230
+أخدنا لك ال U ال U star معاللي الـ F ناقص الـ U
+
+296
+00:25:08,230 --> 00:25:14,910
+الـ QF هيكون عبارة عن إيش يا جماعة اللي هنا هيتصفر
+
+297
+00:25:14,910 --> 00:25:19,070
+حيساوي الصميه أكم واحدة من هذولة هيكون على الأكثر
+
+298
+00:25:19,070 --> 00:25:23,790
+الشكل هذا واحدة اسمها مثلا MK MJ زي ما هو مسميها
+
+299
+00:25:23,790 --> 00:25:28,870
+والتاني M star K هذولة على الأكثر على الأكثر على
+
+300
+00:25:28,870 --> 00:25:34,900
+الأكثر هيكون عددهم جداشعددهم عبارة عن اتنين فئة
+
+301
+00:25:34,900 --> 00:25:40,240
+ناقص واحد مضروبات في طول الفترة هذه الفترة الصغيرة
+
+302
+00:25:40,240 --> 00:25:43,680
+اللي هي .. اللي هي الفترة تبعت .. اللي هي مين
+
+303
+00:25:43,680 --> 00:25:48,720
+الـQ*) اللي هي .. واسميها مثلا ZK ناقص ZK مايس
+
+304
+00:25:48,720 --> 00:25:53,700
+واحد يعني عددهم هذولة اللي بظهر الـU ناقص الـU
+
+305
+00:25:53,700 --> 00:25:59,270
+بظهر عبارة عن أكم واحدة من هذولة سماشن لهمعبارة عن
+
+306
+00:25:59,270 --> 00:26:04,390
+الـ two فئة ناقص واحد من الـ terms نجي الآن إيش
+
+307
+00:26:04,390 --> 00:26:12,830
+اللي كاتبوا شوف قلنا لت Q star بيساوي Q اتحاد من
+
+308
+00:26:12,830 --> 00:26:17,930
+الـ B إبسلون الـ Q star صار refinement لمين؟ للـ B
+
+309
+00:26:17,930 --> 00:26:23,620
+إبسلونإذا الـ Q*) حسب اللي حكيته هناك has at most
+
+310
+00:26:23,620 --> 00:26:28,540
+N ناقص واحد more than points than main Q على
+
+311
+00:26:28,540 --> 00:26:32,660
+الأكتر هيكون عدد اللي في الـ Q*) العناقص اللي في
+
+312
+00:26:32,660 --> 00:26:38,040
+Q*) عند Canon اللي في الـ Q اللي في ال .. أمسح
+
+313
+00:26:38,040 --> 00:26:45,900
+اللي فوق بس زي ما قلت اللي في الـ By اللي في الـ
+
+314
+00:26:45,900 --> 00:26:54,870
+By هي عبارة عن X0X1 Xm-1 لعند Xm اللي في ال Q هي
+
+315
+00:26:54,870 --> 00:27:04,190
+عبارة عن Y0 Y1 Ym-1 لعند Ym اللي في ال Q*) إيش
+
+316
+00:27:04,190 --> 00:27:10,910
+هيصير انه أكيد هذي و هذي هم نفسهم فأكيد لو بدأنا ب
+
+317
+00:27:10,910 --> 00:27:17,650
+Z0 و انتهينا بأخر واحدة Z مين ZB مثلا هيكون اللي
+
+318
+00:27:17,650 --> 00:27:23,390
+هوعال أكتر، عال أكتر، عال أكتر الـQ*) بتزيد عن
+
+319
+00:27:23,390 --> 00:27:30,170
+الـP بجداش بالنقاط هذولة اللي لو كانت مش مكررات من
+
+320
+00:27:30,170 --> 00:27:35,430
+هنا خالص اللي هي بيصير عندى في داخل هذه عدد عناصر
+
+321
+00:27:35,430 --> 00:27:41,890
+الـQ*) أكتر من عدد عناصر الـQ بعال أكتر أناقص واحد
+
+322
+00:27:42,200 --> 00:27:50,720
+وكل هذا تبع اللي هو النقاط اتكرر المعها دولة او ما
+
+323
+00:27:50,720 --> 00:27:57,000
+اتكررنش ما اتكررنش بالمرة بيكون بالظبط عددهم اللي
+
+324
+00:27:57,000 --> 00:28:03,000
+هو ال YM زائد ال N ناقص واحد لو ما اتكررنش ولا
+
+325
+00:28:03,000 --> 00:28:07,700
+واحدة يعني بمعنى اخر ال Q start زيد عن ال Q ب N
+
+326
+00:28:07,700 --> 00:28:10,740
+ناقص واحد من النقاط
+
+327
+00:28:12,960 --> 00:28:17,560
+طيب زي ما قال إذن So Q star تحتوي بي إبسلون and Q
+
+328
+00:28:17,560 --> 00:28:21,780
+star has at most N نقص واحد more points than Q
+
+329
+00:28:21,780 --> 00:28:26,220
+namely those points among اللي هي النقاط اللي من
+
+330
+00:28:26,220 --> 00:28:30,080
+مين اللي بيكون الزيادات من ال X واحد لعندي ال X N
+
+331
+00:28:30,080 --> 00:28:35,200
+ال X N نقص واحد that is belongs to B star but not
+
+332
+00:28:35,200 --> 00:28:40,560
+to مين to Q اللي هدول اللي بتكون الزيادات طيب نطلع
+
+333
+00:28:40,560 --> 00:28:48,130
+لفوقالآن بما أن الـ Q صار تحتوى لـ Q إذا أكيد الـ
+
+334
+00:28:48,130 --> 00:28:53,850
+UQ ناقص الـ UQ صار أكبر سوى 0 طبعا عارفين ليش لأن
+
+335
+00:28:53,850 --> 00:28:58,890
+الـ refinement دائما لل upper sum بيجلله ماشي عشان
+
+336
+00:28:58,890 --> 00:29:02,670
+يصير refinement عشان يبطل يطلع فوق ينزل إشي بسيط
+
+337
+00:29:02,670 --> 00:29:07,730
+فهذا في الـ refinement معناته بيصير الـ UQأصغر من
+
+338
+00:29:07,730 --> 00:29:11,790
+مين؟ أكبر من مين؟ من الـUQ UQ star لأنه في
+
+339
+00:29:11,790 --> 00:29:15,630
+الـrefinement الأعلى بجلد مدام بجلد إذا هذا UQ
+
+340
+00:29:15,630 --> 00:29:20,610
+ناقص UQ star أكبر أو يساوي سفر الآن زي ما سمنا if
+
+341
+00:29:20,610 --> 00:29:25,170
+we write UQ star بيساوي Z node Z واحد عند مين؟ عند
+
+342
+00:29:25,170 --> 00:29:34,610
+ZB then لو أجينا بدنا نحسب الآن UQ F ناقص UQ star
+
+343
+00:29:34,610 --> 00:29:42,230
+وFخلّيني اوضّح لك
+
+344
+00:29:42,230 --> 00:29:53,010
+خلّيني اكتبها ماعليش عندي U Q و
+
+345
+00:29:53,010 --> 00:29:59,290
+F ناقص U Q Star و F
+
+346
+00:30:02,130 --> 00:30:07,370
+الـ summation الأولى العبارة عن الـ summation له
+
+347
+00:30:07,370 --> 00:30:19,310
+اللي هي M J في 100 في الـ Q اللي هو Y J minus Y J
+
+348
+00:30:19,310 --> 00:30:25,130
+minus 1 J من عند 1 لعند الـ M ناقص ال summation
+
+349
+00:30:25,130 --> 00:30:37,430
+للتانية اللي هي MK Star في مين؟ في Z K-Z K-1 K من
+
+350
+00:30:37,430 --> 00:30:42,750
+عند 1 لعند مين؟ لعند الـ B اللي فرضناها إيش اسمها
+
+351
+00:30:42,750 --> 00:30:49,190
+اللي هي الـ B زي ما قولت قبل بشويةلو كان هذولة
+
+352
+00:30:49,190 --> 00:30:53,870
+اللي صارن زيادات هنا اللي صارن زيادات هنا ال X
+
+353
+00:30:53,870 --> 00:30:59,410
+نقطة من X واحد لعند X اناقس واحد لو توزع بين هذولة
+
+354
+00:31:00,990 --> 00:31:04,390
+يعني بمعنى أخر كل هدف في حالة الـ M أكبر من N
+
+355
+00:31:04,390 --> 00:31:10,430
+اتوزع بينهين هيعمل اللي هو ال intervals زي ما قلنا
+
+356
+00:31:10,430 --> 00:31:15,850
+2 في N ناقص 1 في هذه ال intervals هيكون اللي هو
+
+357
+00:31:15,850 --> 00:31:22,460
+الـ Mj و الـ Mk قد يكون المختلفاتلكن في الباقي
+
+358
+00:31:22,460 --> 00:31:28,400
+اللي أصلا مادخلهنش إش جديد وضلت الـQ زي الـQ*)
+
+359
+00:31:28,400 --> 00:31:35,680
+فبتكون M تبعت الـQ و M*) تبعت الـQ*) زي بعض فبصير
+
+360
+00:31:35,680 --> 00:31:40,360
+هذه ناقص هذه بساوي 0 اللي هي الـMj والمك بساوي 0
+
+361
+00:31:40,360 --> 00:31:47,070
+يعني بمعنى آخرالـ terms اللي هتكون ع صورة MJ ناقص
+
+362
+00:31:47,070 --> 00:31:52,110
+MK star ع الأكثر ع الأكثر اللي ممكن يكون المختلفات
+
+363
+00:31:52,110 --> 00:31:57,550
+عبارة عن جداش جماعة اتنين في N ناقص واحد يعني هذول
+
+364
+00:31:57,550 --> 00:32:01,950
+عدد هنا ع الأكتر طبعا في ZK minus ZK minus واحد
+
+365
+00:32:01,950 --> 00:32:04,770
+تبعي اللي هو التجزئة الجديدة لإنه هذه التجزئة اللي
+
+366
+00:32:04,770 --> 00:32:08,950
+بتجسمها ل sub intervals يعني ع الأكتر هذول عدد هنا
+
+367
+00:32:08,950 --> 00:32:13,180
+جداش اتنين في N ناقص واحدهذا أنا قلته لما في حالتي
+
+368
+00:32:13,180 --> 00:32:18,610
+الأم أكبر من أنافي حالة الـ M أصغر أو يساوي N
+
+369
+00:32:18,610 --> 00:32:23,890
+بيصير اللي هو في الشيء .. بيصير اللي هو غصبًا عنها
+
+370
+00:32:23,890 --> 00:32:30,270
+مدام الـ N أكبر وبدها تدخل الـ X1 عليهم غصبًا عنها
+
+371
+00:32:30,270 --> 00:32:35,210
+هيكون في الداخل انطبج على مين؟ على إيش من هان يعني
+
+372
+00:32:35,210 --> 00:32:39,630
+مش هيعمل إن 2 في N ناقص 1 هيعمل إن أجل من هيك إلا
+
+373
+00:32:39,630 --> 00:32:42,150
+في حالة اللي هي M بتساوي N بتطلع اللي هو على
+
+374
+00:32:42,150 --> 00:32:47,560
+الأكثر ممكن يطلع 2 في N-1 لأنه ما بيظلش فيه عنده
+
+375
+00:32:47,560 --> 00:32:53,580
+اللي هو مكان بين هذوله يدخلن فبضطر ان اللي هو اكيد
+
+376
+00:32:53,580 --> 00:32:58,140
+هيكون من منين من جواك اللي هي هذه او بكون اللي جوا
+
+377
+00:32:58,140 --> 00:33:03,760
+برضه مش هيزيدن عن اتنين في الـ-1 اذا اللي هي دخلن
+
+378
+00:33:04,020 --> 00:33:09,620
+على أماكن غير مين حتى في حالة ال M ال M أصغر من N
+
+379
+00:33:09,620 --> 00:33:14,000
+لأ هيدخلن هيدخلن يعملن sub intervals هيختلفن برضه
+
+380
+00:33:14,000 --> 00:33:18,640
+نفس الشيء يعني لو دخلت X1 هنا و X2 هنا فبصير برضه
+
+381
+00:33:18,640 --> 00:33:22,550
+يعملن sub intervals في مجموحينلن يتجاوز ان اتنين
+
+382
+00:33:22,550 --> 00:33:29,230
+في ان ناقص واحد لأن عدد ان ناقص واحد من النقاط
+
+383
+00:33:29,230 --> 00:33:33,550
+الجديدة ال X1 X2 عند Xn ناقص واحد ان شاء الله تكون
+
+384
+00:33:33,550 --> 00:33:39,490
+واضحة هذه الصورة يعني مختصرها انههن اللي ممكن ما
+
+385
+00:33:39,490 --> 00:33:47,270
+يحفظلش على اللي هو الـ الـ الـ الـ الـ الـ الـ الـ
+
+386
+00:33:47,270 --> 00:33:48,310
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+387
+00:33:48,310 --> 00:33:48,670
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+388
+00:33:48,670 --> 00:33:48,690
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+389
+00:33:48,690 --> 00:33:48,810
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+390
+00:33:48,810 --> 00:33:49,030
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+391
+00:33:49,030 --> 00:33:52,480
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الاللي
+
+392
+00:33:52,480 --> 00:33:57,120
+هي بس اللي هي N ناقص واحد من النقاط اللي هتصنعني
+
+393
+00:33:57,120 --> 00:34:02,180
+بس اتنين في N ناقص واحد على الأكثر من ال .. اللي
+
+394
+00:34:02,180 --> 00:34:10,840
+هي ال M واحد أو ال Mj تختلف عن ال M كستار طيب،
+
+395
+00:34:10,840 --> 00:34:13,940
+ماشي الحالة ان شاء الله تكون المضحكة هذه لأن هي بس
+
+396
+00:34:13,940 --> 00:34:17,840
+هذه النقطة اللي بدها توضيح في الباقي هيكون بإذن
+
+397
+00:34:17,840 --> 00:34:23,040
+الله سعيد إذا صار زي ما قلنانرجع لهذا then U Q F
+
+398
+00:34:23,040 --> 00:34:27,200
+نقص U Q Star و F can be written as the sum of at
+
+399
+00:34:27,200 --> 00:34:31,920
+most اتنين في M نقص واحد terms of the form M J نقص
+
+400
+00:34:31,920 --> 00:34:37,460
+M K Star في Z K minus Z K minus واحد لأن عدد هذه
+
+401
+00:34:37,460 --> 00:34:41,680
+الدولة على الأكثر اللي هو بالشكل هذا إذا الآن لو
+
+402
+00:34:41,680 --> 00:34:51,060
+أجينا بدي أحسبلك اللي هو الـ M J نقص M K Starهذه
+
+403
+00:34:51,060 --> 00:35:00,000
+هيكون أصغر أو يساوي مج زائد مك
+
+404
+00:35:01,360 --> 00:35:05,180
+وكل واحدة طبعاً هذا supremum على فترتها وهذا
+
+405
+00:35:05,180 --> 00:35:09,240
+supremum لل F على فترتها أكيد أصغر أو يساوي ال M
+
+406
+00:35:09,240 --> 00:35:13,160
+زائد ال M لأن هذا ال M عبارة عن ال supremum على كل
+
+407
+00:35:13,160 --> 00:35:16,360
+ال interval A وB هذا على جزءه هذا على كل ال
+
+408
+00:35:16,360 --> 00:35:19,240
+interval A وB هذا على جزءه يعني في النهاية هذا
+
+409
+00:35:19,240 --> 00:35:25,460
+أصغر أو يساوي قداش 2 في M يعني هيصير عندي الآن ال
+
+410
+00:35:25,460 --> 00:35:32,980
+absolute value لل M J ناقص M K Starفي ZK-ZK-1
+
+411
+00:35:32,980 --> 00:35:39,970
+هيكون أصغر أو ساوى 2Mفي مين؟ في اللي هي طول الـ
+
+412
+00:35:39,970 --> 00:35:43,550
+interval هذه طول الـ interval هذه طب هذه الـ
+
+413
+00:35:43,550 --> 00:35:50,170
+interval zk minus zk minus 1 أكيد أصغر أو يساوي
+
+414
+00:35:50,170 --> 00:35:56,410
+مين؟ norm لـ Q star مين norm لـ Q star؟ اللي هو ال
+
+415
+00:35:56,410 --> 00:36:01,510
+supremum على مين؟ على أطوال ال subintervals ال
+
+416
+00:36:01,510 --> 00:36:05,750
+supremum أكيد أكبر أو يساوي واحدة منهم طول واحدة
+
+417
+00:36:05,750 --> 00:36:13,190
+منهملكلهم وهذه دائماً لما نزيد العدد قلنا لما نكون
+
+418
+00:36:13,190 --> 00:36:19,630
+Q يحتوي Q*) automatic norm لـ Q*) زي ما قلنا المرة
+
+419
+00:36:19,630 --> 00:36:24,710
+الفاتة هيكون أصغر أو يشوي .. آسف لما يكون Q
+
+420
+00:36:24,710 --> 00:36:28,370
+substantive لـ Q*) يكون norm لـ Q*) عكسه أصغر أو
+
+421
+00:36:28,370 --> 00:36:34,420
+يشوي norm من لـ Qإذا الـ N هذا أصغر أو يساوي هذا و
+
+422
+00:36:34,420 --> 00:36:38,940
+هذا نفسه أصغر أو يساوي مين؟ الـ Q و الـ Normal Q
+
+423
+00:36:38,940 --> 00:36:42,720
+أصغر من مين؟ من دلتا ما احنا على أساسه اللي هي
+
+424
+00:36:42,720 --> 00:36:48,120
+اشتغلنا إذا صار عندي هذا Normal أصغر من دلتا يعني
+
+425
+00:36:48,120 --> 00:36:53,380
+نرجع لهذا هذا المقدار كل واحد لحاله أصغر من اتنين
+
+426
+00:36:53,380 --> 00:36:58,350
+أم في مين بيصير؟ في دلتاالأن عدد هذول اللي ممكن
+
+427
+00:36:58,350 --> 00:37:07,870
+يظهر في UQ ناقص UQ star عبارة عن 2M ناقص 1 يعني في
+
+428
+00:37:07,870 --> 00:37:14,330
+النهاية هذا أصغر أو يساوي اللي هو عدد الـ 2M ناقص
+
+429
+00:37:14,330 --> 00:37:22,940
+1 مضروب في مين؟ في اللي هي 2M2M في Delta لأن هذا
+
+430
+00:37:22,940 --> 00:37:28,390
+نفسه أصغر يساوي 2M و هذا نفسه أصغر يساوي Deltaالان
+
+431
+00:37:28,390 --> 00:37:33,030
+هدولة بتكرر على الأكتر اتنين فئة ناقص واحد هذا ..
+
+432
+00:37:33,030 --> 00:37:36,750
+هذا بتكرر في هذا المقدار على الأكتر في هذا و
+
+433
+00:37:36,750 --> 00:37:40,370
+الباقية هيتصفر زي ما قلنا إذا صار هيكون هذا أصغر
+
+434
+00:37:40,370 --> 00:37:44,750
+أو يساوي عدد تكرار من اتنين فئة ناقص واحد في اتنين
+
+435
+00:37:44,750 --> 00:37:51,010
+M في مين في Delta فإذا صار عندي الآن ال UQF ناقص
+
+436
+00:37:51,010 --> 00:37:55,050
+ال UQ star و F أصغر أو ساوي اتنين فئة ناقص واحد في
+
+437
+00:37:55,050 --> 00:38:01,350
+اتنين M في مينفى delta نصبوت اللى هو هذا عبارة عن
+
+438
+00:38:01,350 --> 00:38:13,090
+قداشة جماعة نيجى نحسبها عشان نصل للي بدنايا صار
+
+439
+00:38:13,090 --> 00:38:26,230
+عندى اللى هو ال U Q F U star و F Q F ناقص U
+
+440
+00:38:32,930 --> 00:38:38,230
+UQF-UQF UQF
+
+441
+00:38:38,230 --> 00:38:44,130
+-UQF UQF
+
+442
+00:38:44,130 --> 00:38:45,750
+-UQF UQF-UQF UQF-UQF UQF-UQF UQF-UQF UQF-UQF UQF
+
+443
+00:38:45,750 --> 00:38:45,850
+-UQF UQF-UQF UQF-UQF UQF-UQF UQF-UQF UQF-UQF UQF
+
+444
+00:38:45,850 --> 00:38:54,050
+-UQF UQF-UQF UQF-UQF UQFفى اللى هو M فى Delta اللى
+
+445
+00:38:54,050 --> 00:38:59,870
+هو أكيد هذا أصغر من أربعة فى N فى M فى Deltaمظهورة
+
+446
+00:38:59,870 --> 00:39:03,790
+ولا لأ؟ لأن الـ N أكبر من مين؟ من الـ N نقص واحد
+
+447
+00:39:03,790 --> 00:39:06,370
+الـ Delta إيش اخترناها؟ ما هي الحسابات من الأول
+
+448
+00:39:06,370 --> 00:39:12,010
+حاسبينها احنا اخترنا الـ Delta فوق عبارة عن جداش
+
+449
+00:39:12,010 --> 00:39:15,710
+لإن احنا كنا عارفين حالنا أصلا بنصل لها المرحلة
+
+450
+00:39:15,710 --> 00:39:19,730
+فبدنا نخلي هذه ي على تلاتة ليش ي على تلاتة؟ بعد
+
+451
+00:39:19,730 --> 00:39:26,470
+شوية تشوف اللي هي عبارة عن ي هذه ي على 12N في مين
+
+452
+00:39:26,470 --> 00:39:31,170
+في Nهذه الآن لما أشيل هذه و أضرب هذه فيها بيصير
+
+453
+00:39:31,170 --> 00:39:34,770
+أربعة في واحد و الان مع الان و الام مع الام و هذي
+
+454
+00:39:34,770 --> 00:39:41,750
+بيصير جداش تلاتة إذا صار عندي الان U Q و F ناقص U
+
+455
+00:39:41,750 --> 00:39:48,000
+Q Star و F أصغر من epsilon ع تلاتةيعني بمعنى آخر
+
+456
+00:39:48,000 --> 00:39:55,380
+صار عند الـ U Q و F أصغر من إبسل من ع تلاتة زائد U
+
+457
+00:39:55,380 --> 00:40:01,420
+Q star من و F ماشي الحال إذا هذه ال in quality
+
+458
+00:40:01,420 --> 00:40:06,160
+التانية اللي وصلناها اللي هتوصلني في النهاية للي
+
+459
+00:40:06,160 --> 00:40:11,490
+بديه ونشوف كيف هتوصلنيطيب يا جماعة صلوا على النبي
+
+460
+00:40:11,490 --> 00:40:17,670
+عليه الصلاة والسلام تنسوش أنه احنا في الأول حصلنا
+
+461
+00:40:17,670 --> 00:40:21,730
+على U بي و أف ماطس أل بي و أف أصغر من مين من
+
+462
+00:40:21,730 --> 00:40:24,930
+إبسلون على تلاتة وحصلنا على U بي و إبسلون هذا أصغر
+
+463
+00:40:24,930 --> 00:40:27,910
+من إبسلون على تلاتة هنحتاجها بعد شوية خليني اكتبها
+
+464
+00:40:27,910 --> 00:40:35,630
+التانية عند حصلنا قبل هيك على ال U بي و أف ماطس أل
+
+465
+00:40:35,630 --> 00:40:42,970
+بي و أف أصغرمن epsilon ع تلاتة وطبعا اكيد اللي هي
+
+466
+00:40:42,970 --> 00:40:46,870
+اصغر من u بي ابسلون و اف عشان لا نرجع الهاشمون
+
+467
+00:40:46,870 --> 00:40:51,970
+اقصال بي ابسلون و اف كله اصغر من ابسلون ع تلاتة
+
+468
+00:40:51,970 --> 00:41:00,930
+هاي كمان هدول التنتين حصلناها ماشي طيب الان
+
+469
+00:41:00,930 --> 00:41:09,000
+اللي عملنا هذا اللي هو مع ال upper sumبنعمل نفسه
+
+470
+00:41:09,000 --> 00:41:14,680
+مع مين مع اللي هو our sum هنلاقي اللي هو LQ يعني
+
+471
+00:41:14,680 --> 00:41:19,060
+LQ star و F ناقص LQ F هنلاقيه هنا على الأكتر
+
+472
+00:41:19,060 --> 00:41:23,020
+باختلاف أنه هو التو فئة ناقص واحد من التلزمه و و و
+
+473
+00:41:23,020 --> 00:41:26,640
+الاخر و بنكمل نفس الاشي بطل عند LQ star و F ناقص
+
+474
+00:41:26,640 --> 00:41:30,600
+إبشر على تلاتة أصغر من مين من LQ F إذا similarly
+
+475
+00:41:30,600 --> 00:41:35,120
+for هذه اللي عملناها هذه ما حد بنعمله مع اللي هو
+
+476
+00:41:35,730 --> 00:41:47,930
+الـ L L of Q star و F ماقص اللي هو إبسلون ع تلاتة
+
+477
+00:41:47,930 --> 00:41:55,890
+أصغر من L Q O mean O F ماشي الحال، طيب and exactly
+
+478
+00:41:55,890 --> 00:42:00,310
+زي ما بنقول similar argument symbolize that اللي
+
+479
+00:42:00,310 --> 00:42:07,870
+كتبناهلنبدأ نجمع معلوماتنا عشان نصل لإنه الـ
+
+480
+00:42:07,870 --> 00:42:11,530
+Riemann Sum نقص الـ integration يكون إيه شماله
+
+481
+00:42:11,530 --> 00:42:15,890
+اللي هو أصغر من إبسلون، انتبهوا كيف عشان يمكن هيك
+
+482
+00:42:15,890 --> 00:42:23,210
+تكون أسهل لنا نرسم خط الأعداد وهنا هخلينا اللي هو
+
+483
+00:42:23,210 --> 00:42:43,920
+نحط الـ U أكي و FU Q F هي أصغر من
+
+484
+00:42:43,920 --> 00:42:55,420
+أبسلون على تلاتة زي U U أستار U F عندي
+
+485
+00:42:55,420 --> 00:42:57,860
+U Q F
+
+486
+00:43:00,380 --> 00:43:07,380
+بس خليني عشان أحط ال L قبل ل L قبل هه عشان مفيش
+
+487
+00:43:07,380 --> 00:43:14,800
+وسح أنا جماعة بعد أذنكم خليني بس هكتب الأول أشنب
+
+488
+00:43:14,800 --> 00:43:27,870
+ده بمين ب L L Q و Fالـ Refinement طبعاً لـ L, Q,
+
+489
+00:43:27,970 --> 00:43:36,450
+Star و F قبلها زي ما انتوا عارفين L, Q و F خليني
+
+490
+00:43:36,450 --> 00:43:41,090
+أعمل هذه قبلها عشان تظبط أحسن L, Q, Star و F ناقص
+
+491
+00:43:41,090 --> 00:43:50,640
+بصناعة تلاتة وهذه LUQF معايا هى هذه بتكون قبل هذه
+
+492
+00:43:50,640 --> 00:43:59,300
+طيب ال QF أكيد بعدها مين UQF صح ولا لأ أكيد طيب
+
+493
+00:43:59,300 --> 00:44:07,420
+بعد ال UQF إيش بتيجي بتيجي هنا إبسلون ع تلاتة زائد
+
+494
+00:44:07,420 --> 00:44:15,340
+UQ star و F مظبوطمظبوط اكيد؟ طيب اذا انا اجيت لخصت
+
+495
+00:44:15,340 --> 00:44:21,120
+المعلومة هذه و لخصت المعلومة هذه اللي هي أصغر من
+
+496
+00:44:21,120 --> 00:44:28,460
+epsilon ع تلاتة UQF UQF ولا ال PUF هذه المسافة
+
+497
+00:44:28,460 --> 00:44:32,910
+بينهم ايه اشمل يا جماعة؟أصغر من إبسلون ع تلاتة
+
+498
+00:44:32,910 --> 00:44:37,130
+واضح أه؟ ومن هنا قال لك U square of F نقص هذه وهذه
+
+499
+00:44:37,130 --> 00:44:43,050
+إبسلون وهذه بالترتيب اللي احنا حصلنا عليه طيب الان
+
+500
+00:44:43,050 --> 00:44:48,230
+طبيعي اللي هو ال remansum و ال integration هيكون
+
+501
+00:44:48,230 --> 00:44:52,030
+بين ال lower و بين main اللي هو إياش الأبر إذن
+
+502
+00:44:52,030 --> 00:44:57,110
+أكيد أكيد أكيد ال remansum تبعنا هي بدينا نصل للي
+
+503
+00:44:57,110 --> 00:45:04,400
+جدنا إياها ال CQFواللي هو ال integration من a إلى
+
+504
+00:45:04,400 --> 00:45:08,720
+b إلى ال F هيكون بين ال lower و بين ال upper ال
+
+505
+00:45:08,720 --> 00:45:11,720
+integration موجود لأن مراس الدور جللنا إذا هذوله
+
+506
+00:45:11,720 --> 00:45:17,800
+صار اللي هو بين هذه و بين هذه إذا صار هذه و هذه
+
+507
+00:45:17,800 --> 00:45:26,120
+بين هذه الدنتينوهذه طبعا ال U Q F و اللي قاله Q F
+
+508
+00:45:26,120 --> 00:45:31,780
+واضح .. واضح انه اللي هو وين في داخل الفترة اللي
+
+509
+00:45:31,780 --> 00:45:36,660
+هي L Q Star و F ناقص أبسل على ثلاثة و U Q Star و F
+
+510
+00:45:36,660 --> 00:45:42,500
+أبسل على تلاتة يعني بين .. هذه طبعا .. بين هذه و
+
+511
+00:45:42,500 --> 00:45:47,200
+بين مين و بين ال interval هذه يعني subset من مين
+
+512
+00:45:47,200 --> 00:45:53,460
+جايل من I أبسلوناللي هي I Epsilon بتساوي اللي هو
+
+513
+00:45:53,460 --> 00:45:59,440
+الفترة هذه من هنا لعند الـ hand هو اللي مسمينها
+
+514
+00:45:59,440 --> 00:46:05,740
+احنا اشمالها I Epsilon بين L Q Star و F نقص
+
+515
+00:46:05,740 --> 00:46:11,860
+Epsilon ع تلاتة و U Q Star F و Epsilon ع تلاتة
+
+516
+00:46:11,860 --> 00:46:20,060
+الآنU Q Star و F ناقص قالك U Star و F ما مسحتاش
+
+517
+00:46:20,060 --> 00:46:28,200
+لسه أنا U Q Star F و قالك U Star F أصغر من مين من
+
+518
+00:46:28,200 --> 00:46:36,520
+إبسلون ع تلاتة لأ اللي هي U
+
+519
+00:46:36,520 --> 00:46:42,670
+Q Star Fوقال الـ Q star F حصلنا عليها قبل هيك أنها
+
+520
+00:46:42,670 --> 00:46:46,650
+أصغر من مين من إبسل ع تلاتة طبعا من وين بنحصلها؟
+
+521
+00:46:46,650 --> 00:46:49,650
+ممكن نحصلها مبقى من هنا ده كما حصلناش أن الـ Q
+
+522
+00:46:49,650 --> 00:46:54,430
+star و F و الـ By بتحتوي الـ By فهيكون الـ U اللي
+
+523
+00:46:54,430 --> 00:47:00,090
+حصلنا أولا بالنسبة لمن؟ لاللي هي الـ By حصلنا قبل
+
+524
+00:47:00,090 --> 00:47:06,400
+هيك أن الـ Uبإبسلون و ال ال بإبسلون الفرق بين همين
+
+525
+00:47:06,400 --> 00:47:10,840
+إبسلون على تلاتة و ال Q star refinement إذا أكيد
+
+526
+00:47:10,840 --> 00:47:14,920
+المسافة بين ال other طبعا في ال refinement المسافة
+
+527
+00:47:14,920 --> 00:47:20,440
+بين ال other و ال other هتصغر لكل refinement ال U
+
+528
+00:47:20,440 --> 00:47:28,340
+بما أن هذه refinement إذا ال Uلأ الـ Q star و F
+
+529
+00:47:28,340 --> 00:47:34,960
+ناقص L Q star و F أصغر أو يساوي لأنها صارت تحسين
+
+530
+00:47:34,960 --> 00:47:38,400
+عليها مازالت صارت تحسين يعني بتجلل مسافة بين ال
+
+531
+00:47:38,400 --> 00:47:40,780
+Upper و الLower عشان نروح في الآخر لل integration
+
+532
+00:47:40,780 --> 00:47:51,520
+ناقص أصغر أو يساوي لL B epsilon و F U ناقص L B
+
+533
+00:47:51,520 --> 00:47:56,980
+epsilon و F اللي هي هذه أصغر من 100من إبسلون وينها
+
+534
+00:47:56,980 --> 00:48:03,400
+أصغر من إبسلون ع تلاتة أصغر من إبسلون ع تلاتة إذا
+
+535
+00:48:03,400 --> 00:48:10,320
+فعلا عرفنا من وين إجت هذه أصغر من مين من إبسلون ع
+
+536
+00:48:10,320 --> 00:48:18,460
+تلاتة إذا صار عندي ال length لهذهالـ length لهذه
+
+537
+00:48:18,460 --> 00:48:23,240
+سهل نوجده بعليش خلّيني أكتب فوق عشان لو جبتلكم ال
+
+538
+00:48:23,240 --> 00:48:29,780
+length إلها عشان أقولكم إنه هذه و هذه هيكون اللي
+
+539
+00:48:29,780 --> 00:48:38,900
+هو بالبعد المطلوب تحسبلي الآن هذه ناقص هذه بصير
+
+540
+00:48:38,900 --> 00:48:48,940
+عبارة عن طول ال interval mean Iy بساوي ال UQ star
+
+541
+00:48:48,940 --> 00:48:55,780
+و F زائد إبسلون على تلاتة ناقص تبعين معيار ال Q
+
+542
+00:48:55,780 --> 00:49:01,720
+star و F ناقص ناقص بيصير زائد إبسلون على تلاتة و
+
+543
+00:49:01,720 --> 00:49:04,900
+يساوي اللي هو إبسلون على تلاتة و إبسلون على تلاتة
+
+544
+00:49:04,900 --> 00:49:12,180
+اتنين إبسلون على تلاتة زائد U Q star و F ناقص ال Q
+
+545
+00:49:12,180 --> 00:49:18,800
+star و F اللي هم هذولةهذه اللي كتبتها لسه ماحتنش
+
+546
+00:49:18,800 --> 00:49:23,400
+أصغر من مين من يبسلون على تلاتة فبتصير هذه طولها
+
+547
+00:49:23,400 --> 00:49:26,700
+أصغر من اتنين يبسلون على تلاتة زائد يبسلون على
+
+548
+00:49:26,700 --> 00:49:31,620
+تلاتة ويساوي يبسلون إذا صار عندي طول الـ interval
+
+549
+00:49:31,620 --> 00:49:40,520
+اللي أسي Qf والـ integration A وBموجودة في كل
+
+550
+00:49:40,520 --> 00:49:46,660
+الفترة هذه اللي هي المسافة بينهم عبارة عن أصغر من
+
+551
+00:49:46,660 --> 00:49:53,460
+مين من Epsilon إذا صار عندي الآن ال integration
+
+552
+00:49:53,460 --> 00:50:05,480
+أين أكتب ال integration إذا صار عندي إذا صار عندي
+
+553
+00:50:05,480 --> 00:50:12,380
+المسافة بين هذه و هذهSQF نقص ال integration من A B
+
+554
+00:50:12,380 --> 00:50:16,900
+ل F أصغر من مين يا جماعة من يبسط من مين هذا تحت
+
+555
+00:50:16,900 --> 00:50:23,360
+شرط مين إنه normally Q هذا أصغر من A H من دلتا
+
+556
+00:50:23,360 --> 00:50:29,200
+أصغر من دلتا بقول إيه أحنا خلصنا اللي بدنا إياه
+
+557
+00:50:29,200 --> 00:50:32,280
+نوقف
+
+558
+00:50:32,280 --> 00:50:33,020
+الجيجا بحثها
+
+559
+00:51:39,830 --> 00:51:44,830
+أه يا أبو حسن بقول هيك أحنا خلصنا برهان نظرية أول
+
+560
+00:51:44,830 --> 00:51:48,490
+حد يقول لي أنه اللي هو المسافة بين U وQ قال الـ Q
+
+561
+00:51:48,490 --> 00:51:50,950
+أصغر من يبسلون على تلاتة لأ احنا ماقلناش هيك
+
+562
+00:51:50,950 --> 00:51:53,950
+البسافة بين الأصغر من يبسلون على تلاتة اللي هو الـ
+
+563
+00:51:53,950 --> 00:51:58,190
+P يبسلون الـ U P يبسلون والـ L P يبسلون وأي
+
+564
+00:51:58,190 --> 00:52:01,010
+refinement له بس الـ Q هنا مش refinement هذا بس
+
+565
+00:52:01,010 --> 00:52:04,830
+اللي بنعرف أنه norm لـ Q أصغر من مين من دلتا أصلا
+
+566
+00:52:04,830 --> 00:52:08,960
+احنا بدنا نصل لإنهالمسافة بين هذولة اللي هو أصغر
+
+567
+00:52:08,960 --> 00:52:13,300
+من إبسلون وعلى طول منها بنستنتج هذه فكيف وصلنا
+
+568
+00:52:13,300 --> 00:52:16,160
+بإننا قلنا اللي هو ال integration هذه في هذه
+
+569
+00:52:16,160 --> 00:52:19,780
+الفترة والفترة هذه جزء من هذه وهذه قلنا هذه طولها
+
+570
+00:52:19,780 --> 00:52:22,960
+على الأكثر بساوي إبسلون عشان هيك صارت المسافة بين
+
+571
+00:52:22,960 --> 00:52:28,000
+هذه وهذا أصغر من إبسلون وهو المطلوب طيب نيجي الآن
+
+572
+00:52:28,000 --> 00:52:34,060
+ده اللي هي النظرية اللي بعدها theorem
+
+573
+00:52:35,670 --> 00:52:45,070
+لت I بتساوي A وB و لت F من I لعند R بيكون فنكشف
+
+574
+00:52:46,090 --> 00:52:49,330
+suppose there exists a number B such that لكل Y
+
+575
+00:52:49,330 --> 00:52:54,110
+أكبر من 0 if B is any partition of I with normal B
+
+576
+00:52:54,110 --> 00:52:58,030
+أصغر من Delta and S of Bi is any corresponding
+
+577
+00:52:58,030 --> 00:53:01,950
+Riemann sum اللي هو then لهذا أصغر من إبسلون then
+
+578
+00:53:01,950 --> 00:53:06,310
+F is integrable on I in the sense of definition
+
+579
+00:53:06,310 --> 00:53:12,590
+716 يعني وكأننا جاعدين بنقول conversely إيش بنقول؟
+
+580
+00:53:12,590 --> 00:53:13,610
+بنقول
+
+581
+00:53:16,710 --> 00:53:24,890
+إنه لو كان عندي اللي هو limit لو كان عندي limit
+
+582
+00:53:24,890 --> 00:53:32,330
+اللي هو الـ S أو B و F as normal B بروح للسفر
+
+583
+00:53:32,330 --> 00:53:38,190
+exist و بسوء some number B إذن هذا الـ B بسوء ال
+
+584
+00:53:38,190 --> 00:53:43,410
+integration من A لB F of X DX يعني بقوللي لو كان
+
+585
+00:53:43,410 --> 00:53:50,850
+هذا متحققلو كان هذا متحقق بيعطيني إنه هذا هو هيطلع
+
+586
+00:53:50,850 --> 00:53:55,110
+اللي هي هتطلع F-integrable وهيكون بيه هذا اللي هو
+
+587
+00:53:55,110 --> 00:53:59,030
+ال limit هذا هو قيمة مين ال integration ليش؟ لأن
+
+588
+00:53:59,030 --> 00:54:02,490
+هذا اصلا شو معناته؟هذا معناته for every epsilon
+
+589
+00:54:02,490 --> 00:54:07,490
+أكبر من صفر there exist اللي هو delta أكبر من صفر
+
+590
+00:54:07,490 --> 00:54:14,370
+such that b أصغر من delta بيؤدي إلى S B و F ناقص
+
+591
+00:54:14,370 --> 00:54:17,630
+ال B اللي مفترضين أصغر من مين ال epsilon هذا هو
+
+592
+00:54:17,630 --> 00:54:23,290
+معناته هذا يعني أن اللي هو المعطىطبعا f bounded من
+
+593
+00:54:23,290 --> 00:54:30,590
+رأس الدور لجهنا number b بحيث ان لكل epsilon او fb
+
+594
+00:54:30,590 --> 00:54:33,270
+is any partition بحيث ان normal b أعلى من delta
+
+595
+00:54:34,000 --> 00:54:39,600
+وكانت اللي هي المسافة بين الـ B أصغر من Epsilon
+
+596
+00:54:39,600 --> 00:54:44,440
+هذا .. ده متحقق اللي هو هذا كله عبارة هو عبارة عن
+
+597
+00:54:44,440 --> 00:54:47,940
+limit S بي و F as and non-invalid اللي هو سفر
+
+598
+00:54:47,940 --> 00:54:52,160
+بساول B إذا .. إذا اتحقق هذا بتكون اللي هي F
+
+599
+00:54:52,160 --> 00:54:55,440
+integrable وقيمة الـ B هذه اللي هي قيمة ال limit
+
+600
+00:54:55,440 --> 00:54:59,420
+بساول integration هذه اللي هي عبارة عن .. النظرية
+
+601
+00:54:59,420 --> 00:55:04,470
+عبارة عن اللي هو بن ..اللي هي دمج بين اللي هي
+
+602
+00:55:04,470 --> 00:55:08,190
+نظريات السابقة المرة الماضية نشوف كيف اللي هو
+
+603
+00:55:08,190 --> 00:55:14,100
+البرهن برهن بسيط لإنه بعتمد عليه بشكل سريعلت y
+
+604
+00:55:14,100 --> 00:55:17,440
+أكبر من 0 و delta أكبر من 0 as in the theorem اللي
+
+605
+00:55:17,440 --> 00:55:20,180
+هو اللي في الـ theorem اللي فوق المقصود فيها النص
+
+606
+00:55:20,180 --> 00:55:25,820
+هذه قدت بي إبسلون بي partition of I with نفترض أنه
+
+607
+00:55:25,820 --> 00:55:30,080
+norm بي إبسلون أصغر من 200 من دلتا هذا المعطى ماشي
+
+608
+00:55:30,080 --> 00:55:36,240
+الحال نفترض أنه إبسلون أكبر من 0 arbitrarily و
+
+609
+00:55:36,240 --> 00:55:41,190
+delta أكبر من 0أو نفترض أن بي إبسلون أي partition
+
+610
+00:55:41,190 --> 00:55:45,310
+بحيث أنه نورمه إيه شماله أصغر من دلتا لكن لو جينا
+
+611
+00:55:45,310 --> 00:55:48,930
+أخدنا بيه أي partition آخر و بيه محتوى بيه إبسلون
+
+612
+00:55:48,930 --> 00:55:53,770
+هيكون نورم ال partition بيه هذا اللي هو ال
+
+613
+00:55:53,770 --> 00:55:57,470
+refinement أكيد أصغر أو سوى نورم مين الأصلي اللي
+
+614
+00:55:57,470 --> 00:56:01,030
+هو أصغر من دلتا صار عنده الآن لكل إبسلون أكبر من
+
+615
+00:56:01,030 --> 00:56:06,470
+سفر there exists دلتا بحيث أنه نورم البي إبسلون
+
+616
+00:56:06,470 --> 00:56:11,740
+أصغر من دلتاولأي partition بي refinement لبيبسلون
+
+617
+00:56:11,740 --> 00:56:17,260
+صار norm أصغر من delta إذا من اللي هو ال .. بواسط
+
+618
+00:56:17,260 --> 00:56:21,740
+اللي هو النظرية السابقة حيكون عند ال S minus البي
+
+619
+00:56:21,740 --> 00:56:27,580
+أصغر من ابسلون يؤدي إلى هذا بيبساو ال integration
+
+620
+00:56:27,580 --> 00:56:32,020
+لإن إيش كانت نظرية سبعة أربعة تلاتة بتشترط تشترط
+
+621
+00:56:32,020 --> 00:56:33,840
+إنه نلاقي لكل ابسلون
+
+622
+00:56:36,480 --> 00:56:42,920
+أي بارتشن بي ابسلون بحيث أن أي بي بتحتول بي ابسلون
+
+623
+00:56:43,910 --> 00:56:48,530
+يؤدي إلى هذا أصغر من إبسلون كله على بعض بيؤدي F
+
+624
+00:56:48,530 --> 00:56:53,790
+أشمالها is integrable إذا بيواصل 7 4 3 مدام حصلنا
+
+625
+00:56:53,790 --> 00:56:57,910
+على ال S بي و F نقص ال V أصغر من إبسلون بيكون هذا
+
+626
+00:56:57,910 --> 00:57:01,190
+اللي حصلنا عليه اللي هو P بساوة ال integration لل
+
+627
+00:57:01,190 --> 00:57:06,630
+F على الفترة من A لB يعني بمعنى أخر احنا اللي
+
+628
+00:57:06,630 --> 00:57:13,530
+حصلنا الآن من النظريتين أن F is integrableF is
+
+629
+00:57:13,530 --> 00:57:19,050
+integrable if and only if limit الـ S,B وF من
+
+630
+00:57:19,050 --> 00:57:23,890
+normal B بيروح للسفر exist وبساوي قيمة ال
+
+631
+00:57:23,890 --> 00:57:28,550
+integration يعني الآن ال integration أوصلنا له عبر
+
+632
+00:57:28,550 --> 00:57:34,330
+طريقين إما عبر طريق اللي هو limit للرمان sumيكون
+
+633
+00:57:34,330 --> 00:57:38,690
+exist أو عبر الطريق الآخر لأن ال upper .. ال upper
+
+634
+00:57:38,690 --> 00:57:42,930
+integral والlower integral يكون جد بعض ومتساويين
+
+635
+00:57:42,930 --> 00:57:52,690
+وحيكون في هذه الحالة هم ال integration وقف
+
+636
+00:57:52,690 --> 00:57:59,570
+هنا يا أبو حسن كم ساعة .. كم
+
+637
+00:57:59,570 --> 00:58:00,810
+عندك الوقت؟
+
+638
+00:58:03,290 --> 00:58:10,650
+نخلصها هيك و نبدأ تانية؟ لأن الجزء الثاني هذا اللي
+
+639
+00:58:10,650 --> 00:58:17,070
+هو الimprover integral بس بطولش بياخد نص ساعة انت
+
+640
+00:58:17,070 --> 00:58:22,090
+قاعد معايا للجد إيش؟ أكيد؟ مديش أضغط عليك يا أبو
+
+641
+00:58:22,090 --> 00:58:30,390
+حسن طيب لأ خلينا نخلص هذه ما هو درس 17 ها؟ هلجيت
+
+642
+00:58:30,390 --> 00:58:31,270
+18؟
+
+643
+00:58:41,590 --> 00:58:48,290
+هي الان بتبدأ في المحاضرة 18 خلصنا 17 كيف؟
+
+644
+00:58:54,810 --> 00:58:59,850
+هك مكون احنا خلصنا المحاضر رقم 17 اللي هو ال
+
+645
+00:58:59,850 --> 00:59:03,610
+integration as a limit بعد شوية هنكمل ال section
+
+646
+00:59:03,610 --> 00:59:08,490
+هذا مظبوط بس هنكمله بموضوع جديد اللي هو عبارة عن
+
+647
+00:59:08,490 --> 00:59:12,510
+الimprover integral وإلى لقاء آخر والسلام عليكم
+
+648
+00:59:12,510 --> 00:59:13,670
+ورحمة الله وبركاته
+
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/7kAGhF5ugUM_raw.json b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/7kAGhF5ugUM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..670a75e67d016830c4f956d8e8fe56a0c05565d6
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/7kAGhF5ugUM_raw.json
@@ -0,0 +1 @@
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"end": 1019.5, "word": " بتساوي", "probability": 0.942626953125}, {"start": 1019.5, "end": 1020.0, "word": " إبسلون", "probability": 0.94765625}, {"start": 1020.0, "end": 1020.18, "word": " على", "probability": 0.7041015625}, {"start": 1020.18, "end": 1020.82, "word": " اتناشر", "probability": 0.791845703125}, {"start": 1020.82, "end": 1021.14, "word": " N", "probability": 0.371337890625}, {"start": 1021.14, "end": 1021.36, "word": " في", "probability": 0.755859375}, {"start": 1021.36, "end": 1021.74, "word": " مين", "probability": 0.6903076171875}, {"start": 1021.74, "end": 1021.94, "word": " في", "probability": 0.8623046875}, {"start": 1021.94, "end": 1022.18, "word": " M", "probability": 0.962890625}, {"start": 1022.18, "end": 1022.86, "word": " N", "probability": 0.38623046875}, {"start": 1022.86, "end": 1023.22, "word": " مين", "probability": 0.8681640625}, {"start": 1023.22, "end": 1024.1, "word": " هذه،", "probability": 0.621337890625}, {"start": 1024.1, "end": 1024.38, "word": " N", "probability": 0.796875}, {"start": 1024.38, "end": 1024.6, "word": " اللي", "probability": 0.980712890625}, {"start": 1024.6, "end": 1024.94, "word": " ظهرت", "probability": 0.942138671875}, {"start": 1024.94, "end": 1025.06, "word": " في", "probability": 0.95849609375}, {"start": 1025.06, "end": 1025.14, "word": " ال", "probability": 0.9794921875}, {"start": 1025.14, "end": 1025.5, "word": " partition", "probability": 0.36767578125}, {"start": 1025.5, "end": 1025.98, "word": " هنا", "probability": 0.896484375}, {"start": 1025.98, "end": 1026.56, "word": " اللي", "probability": 0.893798828125}, {"start": 1026.56, "end": 1026.82, "word": " هو", "probability": 0.9931640625}, {"start": 1026.82, "end": 1027.38, "word": " عدد", "probability": 0.9890950520833334}, {"start": 1027.38, "end": 1028.06, "word": " عناصر", "probability": 0.9930013020833334}, {"start": 1028.06, "end": 1028.22, "word": " ال", "probability": 0.962890625}, {"start": 1028.22, "end": 1028.66, "word": " partition", "probability": 0.7490234375}], "temperature": 1.0}, {"id": 42, "seek": 103875, "start": 1029.15, "end": 1038.75, "text": "اللي جزأني الفترة هي N زائد 1 هذا مين ال partition اللي لجيته في الريمان من خلال الintegrability للأف", "tokens": [6027, 20292, 10874, 11622, 10721, 22653, 27188, 2655, 25720, 39896, 426, 30767, 16373, 3215, 502, 23758, 3714, 9957, 2423, 24808, 13672, 1829, 5296, 7435, 36081, 3224, 8978, 2423, 16572, 2304, 7649, 9154, 16490, 1211, 6027, 2423, 31131, 2310, 24976, 10721, 5172], "avg_logprob": -0.30450149590060827, "compression_ratio": 1.2403100775193798, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1029.15, "end": 1029.75, "word": "اللي", "probability": 0.79638671875}, {"start": 1029.75, "end": 1030.29, "word": " جزأني", "probability": 0.64495849609375}, {"start": 1030.29, "end": 1030.79, "word": " الفترة", "probability": 0.9241536458333334}, {"start": 1030.79, "end": 1031.07, "word": " هي", "probability": 0.77685546875}, {"start": 1031.07, "end": 1031.37, "word": " N", "probability": 0.365234375}, {"start": 1031.37, "end": 1031.67, "word": " زائد", "probability": 0.6756591796875}, {"start": 1031.67, "end": 1031.91, "word": " 1", "probability": 0.74658203125}, {"start": 1031.91, "end": 1032.43, "word": " هذا", "probability": 0.490966796875}, {"start": 1032.43, "end": 1032.91, "word": " مين", "probability": 0.6427001953125}, {"start": 1032.91, "end": 1033.61, "word": " ال", "probability": 0.927734375}, {"start": 1033.61, "end": 1034.15, "word": " partition", "probability": 0.3544921875}, {"start": 1034.15, "end": 1034.49, "word": " اللي", "probability": 0.917724609375}, {"start": 1034.49, "end": 1035.05, "word": " لجيته", "probability": 0.8150634765625}, {"start": 1035.05, "end": 1035.15, "word": " في", "probability": 0.85888671875}, {"start": 1035.15, "end": 1035.75, "word": " الريمان", "probability": 0.9080810546875}, {"start": 1035.75, "end": 1035.93, "word": " من", "probability": 0.95556640625}, {"start": 1035.93, "end": 1036.77, "word": " خلال", "probability": 0.9697265625}, {"start": 1036.77, "end": 1037.75, "word": " الintegrability", "probability": 0.667236328125}, {"start": 1037.75, "end": 1038.75, "word": " للأف", "probability": 0.61181640625}], "temperature": 1.0}, {"id": 43, "seek": 106141, "start": 1039.31, "end": 1061.41, "text": "إذاً where الـ N زائد واحد is the number of parts in B إبسلون يعني الـ Delta بتساوي إبسلون على 12 في N الـ N ارتبطت بال partition اللي لجيته والـ M هي عبارة عن ال supremum لكل الدالة على كل الفترة المذكورة نيجي الآن", "tokens": [28814, 15730, 14111, 689, 2423, 39184, 426, 30767, 16373, 3215, 36764, 24401, 307, 264, 1230, 295, 3166, 294, 363, 11933, 3555, 3794, 1211, 11536, 37495, 22653, 2423, 39184, 18183, 39894, 3794, 995, 45865, 11933, 3555, 3794, 1211, 11536, 15844, 2272, 8978, 426, 2423, 39184, 426, 1975, 43500, 3555, 9566, 2655, 20666, 24808, 13672, 1829, 5296, 7435, 36081, 3224, 16070, 39184, 376, 39896, 6225, 3555, 9640, 3660, 18871, 2423, 23710, 449, 5296, 28820, 32748, 6027, 3660, 15844, 28242, 27188, 2655, 25720, 9673, 8848, 4117, 13063, 3660, 8717, 1829, 7435, 1829, 6024, 48506], "avg_logprob": -0.2308084221313829, "compression_ratio": 1.502262443438914, "no_speech_prob": 2.0265579223632812e-06, "words": [{"start": 1039.31, "end": 1039.79, "word": "إذاً", "probability": 0.5068359375}, {"start": 1039.79, "end": 1040.17, "word": " where", "probability": 0.5771484375}, {"start": 1040.17, "end": 1040.89, "word": " الـ", "probability": 0.672607421875}, {"start": 1040.89, "end": 1041.01, "word": " N", "probability": 0.304443359375}, {"start": 1041.01, "end": 1041.33, "word": " زائد", "probability": 0.73681640625}, {"start": 1041.33, "end": 1041.79, "word": " واحد", "probability": 0.96240234375}, {"start": 1041.79, "end": 1042.11, "word": " is", "probability": 0.7353515625}, {"start": 1042.11, "end": 1042.33, "word": " the", "probability": 0.83837890625}, {"start": 1042.33, "end": 1042.77, "word": " number", "probability": 0.96923828125}, {"start": 1042.77, "end": 1043.25, "word": " of", "probability": 0.974609375}, {"start": 1043.25, "end": 1043.69, "word": " parts", "probability": 0.8955078125}, {"start": 1043.69, "end": 1044.01, "word": " in", "probability": 0.8955078125}, {"start": 1044.01, "end": 1044.37, "word": " B", "probability": 0.9033203125}, {"start": 1044.37, "end": 1045.61, "word": " إبسلون", "probability": 0.815478515625}, {"start": 1045.61, "end": 1046.13, "word": " يعني", "probability": 0.795166015625}, {"start": 1046.13, "end": 1046.37, "word": " الـ", "probability": 0.649658203125}, {"start": 1046.37, "end": 1046.59, "word": " Delta", "probability": 0.55029296875}, {"start": 1046.59, "end": 1047.09, "word": " بتساوي", "probability": 0.8348388671875}, {"start": 1047.09, "end": 1047.69, "word": " إبسلون", "probability": 0.95068359375}, {"start": 1047.69, "end": 1048.29, "word": " على", "probability": 0.73193359375}, {"start": 1048.29, "end": 1048.77, "word": " 12", "probability": 0.51123046875}, {"start": 1048.77, "end": 1048.95, "word": " في", "probability": 0.88671875}, {"start": 1048.95, "end": 1049.19, "word": " N", "probability": 0.84814453125}, {"start": 1049.19, "end": 1049.43, "word": " الـ", "probability": 0.599365234375}, {"start": 1049.43, "end": 1049.57, "word": " N", "probability": 0.9384765625}, {"start": 1049.57, "end": 1050.99, "word": " ارتبطت", "probability": 0.89228515625}, {"start": 1050.99, "end": 1051.11, "word": " بال", "probability": 0.96923828125}, {"start": 1051.11, "end": 1051.51, "word": " partition", "probability": 0.33154296875}, {"start": 1051.51, "end": 1051.79, "word": " اللي", "probability": 0.965576171875}, {"start": 1051.79, "end": 1052.35, "word": " لجيته", "probability": 0.7774658203125}, {"start": 1052.35, "end": 1052.97, "word": " والـ", "probability": 0.6015625}, {"start": 1052.97, "end": 1053.13, "word": " M", "probability": 0.95751953125}, {"start": 1053.13, "end": 1053.37, "word": " هي", "probability": 0.94091796875}, {"start": 1053.37, "end": 1053.69, "word": " عبارة", "probability": 0.99462890625}, {"start": 1053.69, "end": 1053.89, "word": " عن", "probability": 0.99755859375}, {"start": 1053.89, "end": 1054.07, "word": " ال", "probability": 0.80322265625}, {"start": 1054.07, "end": 1055.03, "word": " supremum", "probability": 0.57965087890625}, {"start": 1055.03, "end": 1055.79, "word": " لكل", "probability": 0.924560546875}, {"start": 1055.79, "end": 1056.75, "word": " الدالة", "probability": 0.9296875}, {"start": 1056.75, "end": 1058.39, "word": " على", "probability": 0.48486328125}, {"start": 1058.39, "end": 1058.69, "word": " كل", "probability": 0.876953125}, {"start": 1058.69, "end": 1059.25, "word": " الفترة", "probability": 0.9900716145833334}, {"start": 1059.25, "end": 1060.35, "word": " المذكورة", "probability": 0.9873046875}, {"start": 1060.35, "end": 1061.15, "word": " نيجي", "probability": 0.8232421875}, {"start": 1061.15, "end": 1061.41, "word": " الآن", "probability": 0.785888671875}], "temperature": 1.0}, {"id": 44, "seek": 108355, "start": 1066.35, "end": 1083.55, "text": "Now let Q بيساوي Y not Y واحد و Y اتنين لعند Y M مش N، Y M ماشي بـany partition of I with ال absolute value للـQ أو ال norm للـQ أصغر من Delta", "tokens": [13267, 718, 1249, 4724, 1829, 3794, 995, 45865, 398, 406, 398, 36764, 24401, 4032, 398, 1975, 2655, 1863, 9957, 5296, 3615, 41260, 398, 376, 37893, 426, 12399, 398, 376, 3714, 33599, 1829, 4724, 39184, 1325, 24808, 295, 286, 365, 2423, 8236, 2158, 24976, 39184, 48, 34051, 2423, 2026, 24976, 39184, 48, 5551, 9381, 17082, 2288, 9154, 18183], "avg_logprob": -0.4108297557666384, "compression_ratio": 1.18125, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1066.3500000000001, "end": 1067.19, "word": "Now", "probability": 0.396484375}, {"start": 1067.19, "end": 1068.03, "word": " let", "probability": 0.28076171875}, {"start": 1068.03, "end": 1068.51, "word": " Q", "probability": 0.60400390625}, {"start": 1068.51, "end": 1069.59, "word": " بيساوي", "probability": 0.53466796875}, {"start": 1069.59, "end": 1069.87, "word": " Y", "probability": 0.69580078125}, {"start": 1069.87, "end": 1070.15, "word": " not", "probability": 0.142822265625}, {"start": 1070.15, "end": 1070.41, "word": " Y", "probability": 0.5400390625}, {"start": 1070.41, "end": 1070.79, "word": " واحد", "probability": 0.727783203125}, {"start": 1070.79, "end": 1070.91, "word": " و", "probability": 0.72119140625}, {"start": 1070.91, "end": 1071.05, "word": " Y", "probability": 0.53759765625}, {"start": 1071.05, "end": 1071.59, "word": " اتنين", "probability": 0.9244384765625}, {"start": 1071.59, "end": 1072.49, "word": " لعند", "probability": 0.9142252604166666}, {"start": 1072.49, "end": 1073.13, "word": " Y", "probability": 0.90869140625}, {"start": 1073.13, "end": 1073.75, "word": " M", "probability": 0.464599609375}, {"start": 1073.75, "end": 1074.17, "word": " مش", "probability": 0.796875}, {"start": 1074.17, "end": 1074.89, "word": " N،", "probability": 0.17547607421875}, {"start": 1074.89, "end": 1075.21, "word": " Y", "probability": 0.75048828125}, {"start": 1075.21, "end": 1075.67, "word": " M", "probability": 0.88916015625}, {"start": 1075.67, "end": 1076.35, "word": " ماشي", "probability": 0.7566731770833334}, {"start": 1076.35, "end": 1078.09, "word": " بـany", "probability": 0.490234375}, {"start": 1078.09, "end": 1078.63, "word": " partition", "probability": 0.94677734375}, {"start": 1078.63, "end": 1078.95, "word": " of", "probability": 0.98046875}, {"start": 1078.95, "end": 1079.27, "word": " I", "probability": 0.986328125}, {"start": 1079.27, "end": 1079.69, "word": " with", "probability": 0.93798828125}, {"start": 1079.69, "end": 1079.89, "word": " ال", "probability": 0.6962890625}, {"start": 1079.89, "end": 1080.25, "word": " absolute", "probability": 0.703125}, {"start": 1080.25, "end": 1080.75, "word": " value", "probability": 0.9873046875}, {"start": 1080.75, "end": 1081.31, "word": " للـQ", "probability": 0.631103515625}, {"start": 1081.31, "end": 1081.89, "word": " أو", "probability": 0.87548828125}, {"start": 1081.89, "end": 1082.01, "word": " ال", "probability": 0.64599609375}, {"start": 1082.01, "end": 1082.25, "word": " norm", "probability": 0.708984375}, {"start": 1082.25, "end": 1082.69, "word": " للـQ", "probability": 0.8619791666666666}, {"start": 1082.69, "end": 1083.07, "word": " أصغر", "probability": 0.9713134765625}, {"start": 1083.07, "end": 1083.23, "word": " من", "probability": 0.99755859375}, {"start": 1083.23, "end": 1083.55, "word": " Delta", "probability": 0.392333984375}], "temperature": 1.0}, {"id": 45, "seek": 111164, "start": 1084.42, "end": 1111.64, "text": "أيش يا جماعة قاعد أنا أحاول أصل للي بديها؟ أيش غرضي؟ إن لكل epsilon أكبر من 0 بدي ألاقي delta بحيث أنه أي partition أصغر من delta norm يعطيني الفرق بين رمان صمه وال integration أصغر من epsilon وكأنه الآن بدأت أحط أيدي على الجرح وأصل أقول let Q بيساوي Y0 Y1 YM بأي partition", "tokens": [10721, 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{"start": 3123.97, "end": 3124.13, "word": " من", "probability": 0.9794921875}, {"start": 3124.13, "end": 3124.41, "word": " دلتا", "probability": 0.8663330078125}, {"start": 3124.41, "end": 3124.83, "word": " أصلا", "probability": 0.87353515625}, {"start": 3124.83, "end": 3125.15, "word": " احنا", "probability": 0.7970377604166666}, {"start": 3125.15, "end": 3125.43, "word": " بدنا", "probability": 0.93408203125}, {"start": 3125.43, "end": 3125.79, "word": " نصل", "probability": 0.936767578125}, {"start": 3125.79, "end": 3126.37, "word": " لإنه", "probability": 0.8907470703125}], "temperature": 1.0}, {"id": 128, "seek": 315406, "start": 3126.7, "end": 3154.06, "text": "المسافة بين هذولة اللي هو أصغر من إبسلون وعلى طول منها بنستنتج هذه فكيف وصلنا بإننا قلنا اللي هو ال integration هذه في هذه الفترة والفترة هذه جزء من هذه وهذه قلنا هذه طولها على الأكثر بساوي إبسلون عشان هيك صارت المسافة بين هذه وهذا أصغر من إبسلون وهو المطلوب طيب نيجي الآن ده اللي هي النظرية اللي بعدها theorem", 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3150.06, "end": 3150.74, "word": " بعدها", "probability": 0.80908203125}, {"start": 3150.74, "end": 3154.06, "word": " theorem", "probability": 0.7744140625}], "temperature": 1.0}, {"id": 129, "seek": 316507, "start": 3155.67, "end": 3165.07, "text": "لت I بتساوي A وB و لت F من I لعند R بيكون فنكشف", "tokens": [1211, 2655, 286, 39894, 3794, 995, 45865, 316, 4032, 33, 4032, 5296, 2655, 479, 9154, 286, 5296, 3615, 41260, 497, 4724, 1829, 30544, 6156, 1863, 4117, 8592, 5172], "avg_logprob": -0.5035021551724138, "compression_ratio": 1.0, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 3155.67, "end": 3156.11, "word": "لت", "probability": 0.53045654296875}, {"start": 3156.11, "end": 3156.33, "word": " I", "probability": 0.60693359375}, {"start": 3156.33, "end": 3156.97, "word": " بتساوي", "probability": 0.7498779296875}, {"start": 3156.97, "end": 3157.15, "word": " A", "probability": 0.8037109375}, {"start": 3157.15, "end": 3157.53, "word": " وB", "probability": 0.8173828125}, 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"word": " ابسلون", "probability": 0.9326171875}], "temperature": 1.0}, {"id": 140, "seek": 340292, "start": 3396.48, "end": 3402.92, "text": "أي بارتشن بي ابسلون بحيث أن أي بي بتحتول بي ابسلون", "tokens": [10721, 1829, 4724, 9640, 2655, 8592, 1863, 4724, 1829, 48127, 3794, 1211, 11536, 4724, 5016, 1829, 12984, 14739, 36632, 4724, 1829, 39894, 33753, 12610, 4724, 1829, 48127, 3794, 1211, 11536], "avg_logprob": -0.41229838325131324, "compression_ratio": 1.3846153846153846, "no_speech_prob": 4.827976226806641e-06, "words": [{"start": 3396.48, "end": 3397.52, "word": "أي", "probability": 0.3087158203125}, {"start": 3397.52, "end": 3398.56, "word": " بارتشن", "probability": 0.604052734375}, {"start": 3398.56, "end": 3398.76, "word": " بي", "probability": 0.814697265625}, {"start": 3398.76, "end": 3399.28, "word": " ابسلون", "probability": 0.80401611328125}, {"start": 3399.28, "end": 3400.62, "word": " بحيث", "probability": 0.80511474609375}, {"start": 3400.62, "end": 3400.74, "word": " أن", 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هو ln LX الدلة اللي هي F of X بساوي ln LX وبنستخدم ال mean value theorem وبنفس الأسلوب في داعي نحله؟ خلّينا نحله، خلّينا نحله عشان بنصور الآن سؤال سبعة الآن عندي بدأ أثبت أن ln LX أصغر من X ناقص واحد", "tokens": [3615, 1863, 13672, 1829, 31439, 44166, 441, 55, 32748, 37977, 13672, 1829, 39896, 479, 295, 1783, 4724, 3794, 995, 45865, 44166, 441, 55, 46599, 1863, 14851, 9778, 40448, 2423, 914, 2158, 20904, 46599, 1863, 36178, 16247, 3794, 1211, 37746, 8978, 11778, 45761, 1829, 8717, 5016, 43761, 22807, 16490, 1211, 11703, 1829, 8315, 8717, 5016, 43761, 12399, 16490, 1211, 11703, 1829, 8315, 8717, 5016, 43761, 6225, 8592, 7649, 44945, 9381, 13063, 6024, 48506, 8608, 33604, 6027, 8608, 3555, 27884, 6024, 48506, 18871, 16254, 47525, 10721, 5551, 12984, 3555, 2655, 14739, 44166, 441, 55, 5551, 9381, 17082, 2288, 9154, 1783, 8717, 995, 4587, 9381, 36764, 24401], "avg_logprob": -0.296428580511184, "compression_ratio": 1.6047619047619048, "no_speech_prob": 1.1324882507324219e-06, "words": 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ضوء أن F is differentiable، بدنا نفترض العكس ونصل لcontradiction، suppose on the contrary نفترض أن F prime of X أكبر من 0 لنقات .. لبعض النقات في I، و F prime of X أكبر من .. أصغر من 0 لبعض النقات في I، يعني مخلوطة", "tokens": [25528, 479, 5551, 4117, 26890, 9154, 1958, 12399, 35186, 479, 5551, 4117, 26890, 9154, 4386, 5551, 9381, 17082, 2288, 9154, 1958, 12399, 8032, 28259, 8978, 48812, 2407, 38207, 14739, 479, 307, 819, 9364, 12399, 47525, 8315, 8717, 5172, 2655, 43042, 18863, 4117, 3794, 4032, 1863, 36520, 5296, 9000, 6206, 4105, 12399, 7297, 322, 264, 19506, 8717, 5172, 2655, 43042, 14739, 479, 5835, 295, 1783, 5551, 4117, 26890, 9154, 1958, 5296, 1863, 4587, 9307, 4386, 5296, 3555, 3615, 11242, 28239, 4587, 9307, 8978, 286, 12399, 4032, 479, 5835, 295, 1783, 5551, 4117, 26890, 9154, 4386, 5551, 9381, 17082, 2288, 9154, 1958, 5296, 3555, 3615, 11242, 28239, 4587, 9307, 8978, 286, 12399, 37495, 22653, 3714, 9778, 1211, 2407, 9566, 3660], "avg_logprob": -0.16018906836750127, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/EvAUsrqrpFk_raw.json b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/EvAUsrqrpFk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..17e64cf90d15c073c0b7d1633714a3fd208112f5
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/EvAUsrqrpFk_raw.json
@@ -0,0 +1 @@
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{"start": 61.28, "end": 61.5, "word": " ما", "probability": 0.9072265625}, {"start": 61.5, "end": 61.78, "word": " يلي", "probability": 0.689453125}], "temperature": 1.0}, {"id": 4, "seek": 8029, "start": 62.59, "end": 80.29, "text": "let f from a و b لعند R be an integrable function on a و b يعني فرضنا أن الـ function f عبارة عن دالة قابلة للتكامل على الفترة المغلقة a و b and let f capital من a و b لعند R تحقق الشروط التالية", "tokens": [2631, 283, 490, 257, 4032, 272, 5296, 3615, 41260, 497, 312, 364, 16200, 424, 638, 2445, 322, 257, 4032, 272, 37495, 22653, 6156, 43042, 8315, 14739, 2423, 39184, 2445, 283, 6225, 3555, 9640, 3660, 18871, 11778, 6027, 3660, 12174, 16758, 37977, 24976, 2655, 4117, 10943, 1211, 15844, 27188, 2655, 25720, 9673, 17082, 1211, 28671, 257, 4032, 272, 293, 718, 283, 4238, 9154, 257, 4032, 272, 5296, 3615, 41260, 497, 6055, 5016, 4587, 4587, 25124, 32887, 9566, 16712, 6027, 10632], "avg_logprob": -0.17265625428408385, "compression_ratio": 1.4946236559139785, 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"word": " من", "probability": 0.97607421875}, {"start": 77.49, "end": 77.71, "word": " a", "probability": 0.9873046875}, {"start": 77.71, "end": 77.83, "word": " و", "probability": 0.99267578125}, {"start": 77.83, "end": 77.95, "word": " b", "probability": 0.96435546875}, {"start": 77.95, "end": 78.29, "word": " لعند", "probability": 0.9345703125}, {"start": 78.29, "end": 78.59, "word": " R", "probability": 0.97119140625}, {"start": 78.59, "end": 79.25, "word": " تحقق", "probability": 0.982666015625}, {"start": 79.25, "end": 79.73, "word": " الشروط", "probability": 0.9650065104166666}, {"start": 79.73, "end": 80.29, "word": " التالية", "probability": 0.9930013020833334}], "temperature": 1.0}, {"id": 5, "seek": 9731, "start": 80.51, "end": 97.31, "text": "تحقق أول شيء أنها تكون الاف كابتنال هادي continuous على الفترة a و b الشرط الثاني f prime exists and f prime of x بساوي الاف small اللي بدأنا فيها دي الفرض منها integrable لكل x element in a و b", "tokens": [2655, 5016, 4587, 4587, 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"temperature": 1.0}, {"id": 52, "seek": 115827, "start": 1136.53, "end": 1158.27, "text": "الجزء الأول من اللي هو الـ Fundamental Theorem of Calculus اللي هو عبارة عن تكامل التفاضل اللي هي عملية التكامل هتلغى عملية التفاضل زي ما شفنا اللي هو قبل بشوية وشفنا إيه اللي جالته الـ Fundamental Theorem طبعا هذا الكلام تحت الشروط المذكورة", "tokens": [6027, 7435, 11622, 38207, 16247, 12610, 9154, 13672, 1829, 31439, 2423, 39184, 13493, 44538, 440, 37956, 295, 3511, 36002, 13672, 1829, 31439, 6225, 3555, 9640, 3660, 18871, 6055, 4117, 10943, 1211, 16712, 5172, 46958, 1211, 13672, 1829, 39896, 6225, 42213, 10632, 16712, 4117, 10943, 1211, 8032, 2655, 1211, 17082, 7578, 6225, 42213, 10632, 16712, 5172, 46958, 1211, 30767, 1829, 19446, 13412, 5172, 8315, 13672, 1829, 31439, 12174, 36150, 4724, 8592, 2407, 10632, 4032, 8592, 5172, 8315, 11933, 1829, 3224, 13672, 1829, 10874, 6027, 47395, 2423, 39184, 13493, 44538, 440, 37956, 23032, 3555, 3615, 995, 23758, 2423, 28820, 10943, 6055, 33753, 25124, 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2104.34, "end": 2126.4, "text": "هذه الآن شو بدي استخدمها للوصول اللي بديها لأن مادام F is continuous ده هذي متحققة هيها مادام F is continuous عن C ده هذي متحققة فمادام هذي متحققة اذا by epsilon delta definition for every epsilon أكبر من 0 there exists delta أكبر من 0 such that لما يكون ال absolute value لل H أصغر من Delta", "tokens": [3224, 24192, 6024, 48506, 13412, 2407, 4724, 16254, 44713, 9778, 40448, 11296, 24976, 2407, 9381, 12610, 13672, 1829, 4724, 16254, 11296, 5296, 33456, 3714, 18513, 10943, 479, 307, 10957, 11778, 3224, 8032, 8848, 1829, 44650, 5016, 4587, 28671, 39896, 11296, 3714, 18513, 10943, 479, 307, 10957, 18871, 383, 11778, 3224, 8032, 8848, 1829, 44650, 5016, 4587, 28671, 6156, 2304, 18513, 10943, 8032, 8848, 1829, 44650, 5016, 4587, 28671, 1975, 15730, 538, 17889, 8289, 7123, 337, 633, 17889, 5551, 4117, 26890, 9154, 1958, 456, 8198, 8289, 5551, 4117, 26890, 9154, 1958, 1270, 300, 5296, 15042, 7251, 30544, 2423, 8236, 2158, 24976, 389, 5551, 9381, 17082, 2288, 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2688.06, "word": " continuous", "probability": 0.86474609375}, {"start": 2688.06, "end": 2688.3, "word": " إذا", "probability": 0.5006103515625}, {"start": 2688.3, "end": 2688.42, "word": " ما", "probability": 0.76171875}, {"start": 2688.42, "end": 2688.82, "word": " بتزمش", "probability": 0.73101806640625}, {"start": 2688.82, "end": 2689.0, "word": " تقول", "probability": 0.6759033203125}, {"start": 2689.0, "end": 2689.46, "word": " integrable", "probability": 0.6732584635416666}, {"start": 2689.46, "end": 2689.66, "word": " لإن", "probability": 0.8486328125}, {"start": 2689.66, "end": 2689.76, "word": " و", "probability": 0.25390625}, {"start": 2689.76, "end": 2689.84, "word": " أنا", "probability": 0.8505859375}, {"start": 2689.84, "end": 2690.26, "word": " continuous", "probability": 0.9794921875}, {"start": 2690.26, "end": 2690.64, "word": " function", "probability": 0.7626953125}, {"start": 2690.64, "end": 2690.82, "word": " زي", "probability": 0.821533203125}, {"start": 2690.82, 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بيصير هذه ال integration اللي هي من a لعند ال x نفسها continuous لأ مش continuous بس is differentiable يعني أجم ال continuous يعني هتكون عندي ال f is differentiable و ال f برامي يمين هي ال f then f is differentiable من a و b عند f برامي بيساوي كده إذن باختصار من a ل x اللي هو f", "tokens": [6027, 7649, 4724, 1829, 9381, 13546, 29538, 2423, 10980, 13672, 1829, 39896, 9154, 257, 5296, 3615, 41260, 2423, 2031, 8717, 36178, 11296, 10957, 5296, 10721, 37893, 10957, 4724, 3794, 307, 819, 9364, 37495, 22653, 5551, 7435, 2304, 2423, 10957, 37495, 22653, 8032, 2655, 30544, 43242, 1829, 2423, 283, 307, 819, 9364, 4032, 2423, 283, 4724, 23557, 2304, 1829, 7251, 2304, 9957, 39896, 2423, 283, 550, 283, 307, 819, 9364, 9154, 257, 4032, 272, 43242, 283, 4724, 2288, 10943, 1829, 4724, 1829, 3794, 995, 45865, 9122, 3215, 3224, 11933, 8848, 1863, 4724, 47283, 2655, 9381, 9640, 9154, 257, 5296, 2031, 13672, 1829, 31439, 283], "avg_logprob": -0.2636718838833846, "compression_ratio": 1.847926267281106, 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3075.23, "word": " عبر", "probability": 0.98095703125}, {"start": 3075.23, "end": 3075.47, "word": " ال", "probability": 0.87353515625}, {"start": 3075.47, "end": 3075.71, "word": " power", "probability": 0.76708984375}, {"start": 3075.71, "end": 3076.27, "word": " point", "probability": 0.51806640625}, {"start": 3076.27, "end": 3076.85, "word": " من", "probability": 0.990234375}, {"start": 3076.85, "end": 3077.17, "word": " البيت", "probability": 0.9796549479166666}, {"start": 3077.17, "end": 3077.31, "word": " ان", "probability": 0.68994140625}, {"start": 3077.31, "end": 3077.51, "word": " شاء", "probability": 0.984130859375}, {"start": 3077.51, "end": 3077.67, "word": " الله", "probability": 0.96923828125}, {"start": 3077.67, "end": 3079.25, "word": " طيب", "probability": 0.953125}, {"start": 3079.25, "end": 3080.49, "word": " definition", "probability": 0.353759765625}], "temperature": 1.0}, {"id": 136, "seek": 308763, "start": 3081.51, "end": 3087.63, "text": "let I بتساوي A وB subset من مين؟ من R إذا كانت F small من I لR", "tokens": [2631, 286, 39894, 3794, 995, 45865, 316, 4032, 33, 25993, 9154, 3714, 9957, 22807, 9154, 497, 11933, 15730, 25961, 2655, 479, 1359, 9154, 286, 5296, 49], "avg_logprob": -0.3469328593324732, "compression_ratio": 1.0235294117647058, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 3081.51, "end": 3081.87, "word": "let", "probability": 0.3291015625}, {"start": 3081.87, "end": 3082.11, "word": " I", "probability": 0.560546875}, {"start": 3082.11, "end": 3082.55, "word": " بتساوي", "probability": 0.6424179077148438}, {"start": 3082.55, "end": 3082.71, "word": " A", "probability": 0.6337890625}, {"start": 3082.71, "end": 3082.95, "word": " وB", "probability": 0.71630859375}, {"start": 3082.95, "end": 3083.29, "word": " subset", "probability": 0.65576171875}, {"start": 3083.29, "end": 3083.55, "word": " من", "probability": 0.99609375}, {"start": 3083.55, "end": 3084.09, "word": " مين؟", "probability": 0.6337076822916666}, 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" not", "probability": 0.9638671875}, {"start": 3252.28, "end": 3252.62, "word": " have", "probability": 0.96630859375}, {"start": 3252.62, "end": 3252.88, "word": " an", "probability": 0.88037109375}, {"start": 3252.88, "end": 3253.54, "word": " antiderivative", "probability": 0.95263671875}, {"start": 3253.54, "end": 3253.98, "word": " يعني", "probability": 0.83984375}, {"start": 3253.98, "end": 3255.04, "word": " هنلاقي", "probability": 0.8270263671875}, {"start": 3255.04, "end": 3255.22, "word": " في", "probability": 0.92333984375}, {"start": 3255.22, "end": 3255.64, "word": " السؤال", "probability": 0.99609375}, {"start": 3255.64, "end": 3255.92, "word": " هذا", "probability": 0.859375}, {"start": 3255.92, "end": 3256.6, "word": " integrable", "probability": 0.7609049479166666}, {"start": 3256.6, "end": 3257.22, "word": " function", "probability": 0.9677734375}, {"start": 3257.22, "end": 3259.82, "word": " ومالهاش", "probability": 0.772119140625}, {"start": 3259.82, "end": 3260.3, "word": " ..", "probability": 0.377685546875}, {"start": 3260.3, "end": 3261.82, "word": " ومالهاش", "probability": 0.923046875}, {"start": 3261.82, "end": 3262.82, "word": " antiderivative", "probability": 0.9461669921875}, {"start": 3262.82, "end": 3263.56, "word": " يعني", "probability": 0.942626953125}, {"start": 3263.56, "end": 3264.08, "word": " هنلاقي", "probability": 0.954833984375}, {"start": 3264.08, "end": 3264.6, "word": " function", "probability": 0.92138671875}, {"start": 3264.6, "end": 3265.1, "word": " F", "probability": 0.56787109375}], "temperature": 1.0}, {"id": 144, "seek": 328468, "start": 3265.94, "end": 3284.68, "text": "إنها تكون integrable لكن مالناجيش function F اللي ال derivative تبعي تاش بتساوي بتساوي F هذا اللي هو بتشوفوه في الـ 7 3 2 و 7 3 5 الأمثلة أو ال counter examples اللي وجودة هنا طيب الملاحظة التانية", "tokens": [28814, 1863, 11296, 6055, 30544, 16200, 424, 638, 44381, 19446, 1211, 1863, 26108, 1829, 8592, 2445, 479, 13672, 1829, 2423, 13760, 6055, 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not exist لكن but not integrable وهذا بتجاوب عليه برضه سبعة تلاتة خمسة يعني في function F", "tokens": [6027, 39184, 2445, 815, 362, 364, 2511, 1438, 592, 1166, 37495, 22653, 18871, 16254, 479, 4032, 39894, 5016, 4587, 4587, 479, 4032, 8978, 18871, 16254, 479, 9122, 16758, 2655, 6027, 9122, 2304, 7649, 4032, 479, 4724, 23557, 32640, 11933, 1829, 8592, 39894, 3794, 995, 45865, 4724, 3794, 2407, 38207, 479, 457, 13672, 1829, 39896, 2423, 10980, 24976, 479, 11933, 1829, 8592, 3714, 6027, 3224, 775, 406, 2514, 44381, 457, 406, 16200, 424, 638, 37037, 15730, 39894, 7435, 995, 37746, 47356, 4724, 43042, 3224, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 16490, 2304, 3794, 3660, 37495, 22653, 8978, 2445, 479], "avg_logprob": -0.22468749716877937, "compression_ratio": 1.5474137931034482, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 3285.95, "end": 3286.25, "word": "الـ", "probability": 0.5687255859375}, {"start": 3286.25, "end": 3286.63, "word": " function", "probability": 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{"start": 3296.91, "end": 3297.31, "word": " اللي", "probability": 0.923828125}, {"start": 3297.31, "end": 3297.55, "word": " هي", "probability": 0.8251953125}, {"start": 3297.55, "end": 3297.69, "word": " ال", "probability": 0.96630859375}, {"start": 3297.69, "end": 3298.21, "word": " integration", "probability": 0.94677734375}, {"start": 3298.21, "end": 3298.51, "word": " لل", "probability": 0.82470703125}, {"start": 3298.51, "end": 3298.75, "word": " F", "probability": 0.432373046875}, {"start": 3298.75, "end": 3299.01, "word": " إيش", "probability": 0.8439127604166666}, {"start": 3299.01, "end": 3299.53, "word": " ماله", "probability": 0.80322265625}, {"start": 3299.53, "end": 3300.35, "word": " does", "probability": 0.80029296875}, {"start": 3300.35, "end": 3300.95, "word": " not", "probability": 0.9677734375}, {"start": 3300.95, "end": 3301.81, "word": " exist", "probability": 0.9658203125}, {"start": 3301.81, "end": 3302.21, "word": " لكن", "probability": 0.90771484375}, {"start": 3302.21, "end": 3302.81, "word": " but", "probability": 0.84619140625}, {"start": 3302.81, "end": 3303.23, "word": " not", "probability": 0.9541015625}, {"start": 3303.23, "end": 3304.21, "word": " integrable", "probability": 0.8916015625}, {"start": 3304.21, "end": 3305.11, "word": " وهذا", "probability": 0.810546875}, {"start": 3305.11, "end": 3305.79, "word": " بتجاوب", "probability": 0.8226318359375}, {"start": 3305.79, "end": 3306.25, "word": " عليه", "probability": 0.990234375}, {"start": 3306.25, "end": 3306.91, "word": " برضه", "probability": 0.9710286458333334}, {"start": 3306.91, "end": 3307.37, "word": " سبعة", "probability": 0.8396809895833334}, {"start": 3307.37, "end": 3307.83, "word": " تلاتة", "probability": 0.8619384765625}, {"start": 3307.83, "end": 3308.45, "word": " خمسة", "probability": 0.9718017578125}, {"start": 3308.45, "end": 3308.93, "word": " يعني", "probability": 0.946044921875}, {"start": 3308.93, "end": 3309.07, "word": " في", "probability": 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"end": 3512.71, "text": "اللي هي antiderivative اللي هي مين هو الـ indefinite integral هيك بتقول المواحدة طب إيش دليلكم دليلنا هاي في counter examples هاي سبعة تلاتة أربعة وهذا ناتب ناجم ناجم عدم تحقق هذه أو عدم تحقق ال antiderivative أنه it may fail to be differentiable at points at the interval ممكن أصلا أن ال F prime تكونش موجودة بالمرة", "tokens": [6027, 20292, 39896, 2511, 1438, 592, 1166, 13672, 1829, 39896, 3714, 9957, 31439, 2423, 39184, 24162, 5194, 642, 11573, 39896, 4117, 39894, 39648, 9673, 14407, 24401, 3660, 23032, 3555, 11933, 1829, 8592, 11778, 20292, 23275, 2304, 11778, 20292, 1211, 8315, 8032, 47302, 8978, 5682, 5110, 8032, 47302, 8608, 3555, 27884, 6055, 1211, 9307, 3660, 5551, 25513, 27884, 37037, 15730, 8717, 9307, 3555, 8717, 26108, 2304, 8717, 26108, 2304, 6225, 40448, 6055, 5016, 4587, 4587, 29538, 34051, 6225, 40448, 6055, 5016, 4587, 4587, 2423, 2511, 1438, 592, 1166, 14739, 3224, 309, 815, 3061, 281, 312, 819, 9364, 412, 2793, 412, 264, 15035, 3714, 43020, 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"probability": 0.84326171875}, {"start": 3499.39, "end": 3499.57, "word": " عدم", "probability": 0.9736328125}, {"start": 3499.57, "end": 3500.09, "word": " تحقق", "probability": 0.987548828125}, {"start": 3500.09, "end": 3500.35, "word": " ال", "probability": 0.93359375}, {"start": 3500.35, "end": 3501.59, "word": " antiderivative", "probability": 0.824462890625}, {"start": 3501.59, "end": 3501.95, "word": " أنه", "probability": 0.6195068359375}, {"start": 3501.95, "end": 3502.21, "word": " it", "probability": 0.91015625}, {"start": 3502.21, "end": 3502.69, "word": " may", "probability": 0.94189453125}, {"start": 3502.69, "end": 3503.47, "word": " fail", "probability": 0.921875}, {"start": 3503.47, "end": 3503.69, "word": " to", "probability": 0.98291015625}, {"start": 3503.69, "end": 3503.91, "word": " be", "probability": 0.94287109375}, {"start": 3503.91, "end": 3504.63, "word": " differentiable", "probability": 0.969970703125}, {"start": 3504.63, "end": 3504.91, "word": " at", "probability": 0.9140625}, {"start": 3504.91, "end": 3505.43, "word": " points", "probability": 0.916015625}, {"start": 3505.43, "end": 3505.87, "word": " at", "probability": 0.8955078125}, {"start": 3505.87, "end": 3506.07, "word": " the", "probability": 0.919921875}, {"start": 3506.07, "end": 3506.49, "word": " interval", "probability": 0.892578125}, {"start": 3506.49, "end": 3507.45, "word": " ممكن", "probability": 0.97412109375}, {"start": 3507.45, "end": 3508.05, "word": " أصلا", "probability": 0.9197591145833334}, {"start": 3508.05, "end": 3508.89, "word": " أن", "probability": 0.736328125}, {"start": 3508.89, "end": 3509.11, "word": " ال", "probability": 0.91845703125}, {"start": 3509.11, "end": 3509.43, "word": " F", "probability": 0.336181640625}, {"start": 3509.43, "end": 3509.99, "word": " prime", "probability": 0.38818359375}, {"start": 3509.99, "end": 3511.01, "word": " تكونش", "probability": 0.728759765625}, {"start": 3511.01, "end": 3511.65, "word": " موجودة", "probability": 0.966796875}, {"start": 3511.65, "end": 3512.71, "word": " بالمرة", "probability": 0.8894856770833334}], "temperature": 1.0}, {"id": 154, "seek": 353442, "start": 3513.24, "end": 3534.42, "text": "عند نقطة اللي هو في داخل الـ interval من a إلى x مزام هذي is not differentiable كيف بدنا نلاقي f prime بتساوي f small إذا قد ينشأ عدم وجود الـ antiderivative منه إنه هذي ما تكونش differentiable عند نقطة بين ال a و ال x هاي أول", "tokens": [3615, 41260, 8717, 47432, 3660, 13672, 1829, 31439, 8978, 11778, 47283, 1211, 2423, 39184, 15035, 9154, 257, 30731, 2031, 3714, 11622, 10943, 8032, 8848, 1829, 307, 406, 819, 9364, 9122, 33911, 47525, 8315, 8717, 15040, 38436, 283, 5835, 39894, 3794, 995, 45865, 283, 1359, 11933, 15730, 12174, 3215, 7251, 1863, 8592, 10721, 6225, 40448, 49610, 23328, 2423, 39184, 2511, 1438, 592, 1166, 9154, 3224, 36145, 3224, 8032, 8848, 1829, 19446, 6055, 30544, 8592, 819, 9364, 43242, 8717, 47432, 3660, 49374, 2423, 257, 4032, 2423, 2031, 8032, 47302, 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"end": 3529.64, "word": " هذي", "probability": 0.7294108072916666}, {"start": 3529.64, "end": 3530.06, "word": " ما", "probability": 0.708984375}, {"start": 3530.06, "end": 3530.68, "word": " تكونش", "probability": 0.7195638020833334}, {"start": 3530.68, "end": 3531.38, "word": " differentiable", "probability": 0.942138671875}, {"start": 3531.38, "end": 3531.6, "word": " عند", "probability": 0.90576171875}, {"start": 3531.6, "end": 3531.96, "word": " نقطة", "probability": 0.9837239583333334}, {"start": 3531.96, "end": 3532.18, "word": " بين", "probability": 0.9365234375}, {"start": 3532.18, "end": 3532.34, "word": " ال", "probability": 0.7001953125}, {"start": 3532.34, "end": 3532.64, "word": " a", "probability": 0.5478515625}, {"start": 3532.64, "end": 3533.2, "word": " و", "probability": 0.38916015625}, {"start": 3533.2, "end": 3533.32, "word": " ال", "probability": 0.88037109375}, {"start": 3533.32, "end": 3533.62, "word": " x", "probability": 0.8486328125}, {"start": 3533.62, "end": 3534.02, "word": " هاي", "probability": 0.5335693359375}, {"start": 3534.02, "end": 3534.42, "word": " أول", "probability": 0.948974609375}], "temperature": 1.0}, {"id": 155, "seek": 355285, "start": 3535.07, "end": 3552.85, "text": "اللي هو سبب ممكن يؤدي إلى عدم تحقق إنه يكون الـ Indefinite Integral ليس Anti-derivative للدالة اللي إحنا بنكملها Or الـ Derivative of Indefinite Integral ممكن يكون موجود", "tokens": [6027, 20292, 31439, 8608, 3555, 3555, 3714, 43020, 7251, 33604, 16254, 30731, 6225, 40448, 6055, 5016, 4587, 4587, 36145, 3224, 7251, 30544, 2423, 39184, 2333, 68, 5194, 642, 23894, 304, 32239, 3794, 27757, 12, 1068, 592, 1166, 24976, 3215, 6027, 3660, 13672, 1829, 11933, 5016, 8315, 44945, 24793, 1211, 11296, 1610, 2423, 39184, 5618, 592, 1166, 295, 2333, 68, 5194, 642, 23894, 304, 3714, 43020, 7251, 30544, 3714, 29245, 23328], "avg_logprob": -0.2059859142337047, "compression_ratio": 1.4470588235294117, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 3535.07, "end": 3535.39, "word": "اللي", "probability": 0.5927734375}, {"start": 3535.39, "end": 3535.71, "word": " هو", "probability": 0.91455078125}, {"start": 3535.71, "end": 3536.53, "word": " سبب", "probability": 0.9747721354166666}, {"start": 3536.53, "end": 3536.95, "word": " ممكن", "probability": 0.9736328125}, {"start": 3536.95, "end": 3537.69, "word": " يؤدي", "probability": 0.8992513020833334}, {"start": 3537.69, "end": 3537.97, "word": " إلى", "probability": 0.8369140625}, {"start": 3537.97, "end": 3538.33, "word": " عدم", "probability": 0.977783203125}, {"start": 3538.33, "end": 3539.09, "word": " تحقق", "probability": 0.927490234375}, {"start": 3539.09, "end": 3539.75, "word": " إنه", "probability": 0.62744140625}, {"start": 3539.75, "end": 3540.23, "word": " يكون", "probability": 0.989013671875}, {"start": 3540.23, "end": 3540.57, "word": " الـ", "probability": 0.942626953125}, {"start": 3540.57, "end": 3541.11, "word": " Indefinite", "probability": 0.779541015625}, 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{"start": 3626.57, "end": 3627.59, "word": " يمكن", "probability": 0.94140625}, {"start": 3627.59, "end": 3628.05, "word": " أن", "probability": 0.69970703125}, {"start": 3628.05, "end": 3628.43, "word": " نجد", "probability": 0.9768880208333334}, {"start": 3628.43, "end": 3628.87, "word": " طرق", "probability": 0.9736328125}, {"start": 3628.87, "end": 3629.77, "word": " لإيجاد", "probability": 0.96083984375}, {"start": 3629.77, "end": 3631.03, "word": " التكامل؟", "probability": 0.8398681640625}, {"start": 3631.03, "end": 3631.53, "word": " evaluation", "probability": 0.58203125}, {"start": 3631.53, "end": 3632.17, "word": " of", "probability": 0.9814453125}, {"start": 3632.17, "end": 3632.93, "word": " integrals", "probability": 0.953369140625}, {"start": 3632.93, "end": 3633.77, "word": " أول", "probability": 0.781982421875}, {"start": 3633.77, "end": 3634.25, "word": " شيء", "probability": 0.55096435546875}, {"start": 3634.25, "end": 3634.89, "word": " نحكي", "probability": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/POarYOfvYB0.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/POarYOfvYB0.srt
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+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/POarYOfvYB0.srt
@@ -0,0 +1,1370 @@
+1
+00:00:04,890 --> 00:00:08,570
+بسم الله الرحمن الرحيم الآن نتحدث عن الجزء الثاني
+
+2
+00:00:08,570 --> 00:00:14,690
+من المحاضرة الخامسة لطلبة قسم رياضيات في كلية
+
+3
+00:00:14,690 --> 00:00:18,850
+العلوم بالجامعة الإسلامية بغزة، الجزء الثاني طبعًا
+
+4
+00:00:18,850 --> 00:00:22,050
+زي ما وعدناكم في البداية، قلنا اللي هو هنكمل فيه
+
+5
+00:00:22,050 --> 00:00:25,970
+اللي هو 6.2 اللي هي تطبيقات على الـ mean value
+
+6
+00:00:25,970 --> 00:00:28,490
+theorem أو applications on mean value theorem
+
+7
+00:00:28,490 --> 00:00:32,390
+هيكون في عندنا two applications اللي هو الـ
+
+8
+00:00:32,390 --> 00:00:34,790
+Application الأول على الـ Mean Value Theorem هو 
+
+9
+00:00:34,790 --> 00:00:38,290
+عبارة عن اللي هو Bernoulli's Inequality، هنبرهن
+
+10
+00:00:38,290 --> 00:00:42,150
+Bernoulli's Inequality، وبعدين هنتحدث عن اللي هو 
+
+11
+00:00:42,150 --> 00:00:47,370
+Darboux's Theorem، نشوف كيف اللي هو بيصير الأمور،
+
+12
+00:00:47,370 --> 00:00:51,960
+نبدأ الآن في الجزء الأول، اللي هو عبارة عن
+
+13
+00:00:51,960 --> 00:00:55,840
+Bernoulli Inequality Bernoulli's Inequality اللي هي
+
+14
+00:00:55,840 --> 00:00:58,700
+بتقول لنا لو كانت عندي Alpha عبارة عن real number
+
+15
+00:00:58,700 --> 00:01:02,500
+أكبر من واحد، هيكون عندي الواحد زائد X to the Alpha
+
+16
+00:01:02,500 --> 00:01:06,900
+أكبر أو يساوي واحد زائد Alpha X لكل X أكبر من من
+
+17
+00:01:06,900 --> 00:01:10,780
+ناقص واحد، with equality if and only if عند X مين؟
+
+18
+00:01:10,780 --> 00:01:15,140
+عند X  بـالساوية صفر، عندنا الـ equality عند X إيش؟
+
+19
+00:01:15,140 --> 00:01:20,390
+بـتساوي بـتساوي صفر، شوف زي ما عملنا المرة الماضية
+
+20
+00:01:20,390 --> 00:01:26,070
+اللي هو E to the X اللي هي لما أخذناها و ثَبَتْنا إنها
+
+21
+00:01:26,070 --> 00:01:29,550
+أكبر أو يساوي اللي هي الواحد زائد Alpha X
+
+22
+00:01:29,550 --> 00:01:33,990
+والمساواة if and only if الـساوي اللي هو واحد، الآن see
+
+23
+00:01:33,990 --> 00:01:42,510
+Bernoulli's inequality Bernoulli's inequality اللي 
+
+24
+00:01:42,510 --> 00:01:50,040
+هي كما يعني عندي خذ Alpha أكبر من واحد فـ ألف أكبر
+
+25
+00:01:50,040 --> 00:01:55,740
+من واحد، then لو واحد زائد X to the ألف أكبر أو يساوي
+
+26
+00:01:55,740 --> 00:02:01,460
+واحد زائد Alpha X لكل X أكبر من ناقص واحد، والشغل
+
+27
+00:02:01,460 --> 00:02:05,980
+الثاني أن الـ equality الـ equality بـتحدث if and
+
+28
+00:02:05,980 --> 00:02:13,300
+only if X بـتساوي صفر طبعًا، الآن لو X بـتساوي صفر
+
+29
+00:02:13,300 --> 00:02:19,180
+automatically automatically بيصير عندي واحد بـيساوي واحد، لو 
+
+30
+00:02:19,180 --> 00:02:22,920
+X بـتساوي صفر، Conversely هيطلع من خلال البرهان
+
+31
+00:02:22,920 --> 00:02:27,520
+باقي البرهان نشوف كيف، plan approved، صلوا على
+
+32
+00:02:27,520 --> 00:02:32,280
+النبي عليه الصلاة والسلام، نسجلها الأولى، if X
+
+33
+00:02:32,280 --> 00:02:38,780
+بتساوي صفر، it is clear that واحد زائد X تقريبًا
+
+34
+00:02:38,780 --> 00:02:43,760
+ألف اللي هي بتساوي واحد، بتساوي واحد زائد ألف X
+
+35
+00:02:43,760 --> 00:02:50,320
+هذه ده case، X إيش بتساوي؟ بتساوي صفر، طيب الآن بدأ
+
+36
+00:02:50,320 --> 00:02:55,230
+أثبت الـ inequality هذه، هأثبت لك في الواقع اللي هو
+
+37
+00:02:55,230 --> 00:02:58,470
+strict inequality، أكبر strictly من واحد زائد Alpha
+
+38
+00:02:58,470 --> 00:03:03,190
+X لكل X أكبر من ناقص واحد ولا تساوي صفر في هذه
+
+39
+00:03:03,190 --> 00:03:06,930
+الحالة بيكون A شمالنا، أثبتنا اتجاه الثاني، طيب،
+
+40
+00:03:06,930 --> 00:03:14,900
+بنشوف كيف، الآن خذ X for X أكبر من صفر، الآن احنا
+
+41
+00:03:14,900 --> 00:03:17,460
+بنحكي عن تطبيقات للـ Mean Value Theorem، إذا أنا
+
+42
+00:03:17,460 --> 00:03:20,260
+متوقع أن أنا أطبقها، الـ Mean Value Theorem طبعًا
+
+43
+00:03:20,260 --> 00:03:24,480
+لاحظ أن الـ 1 زائد X to the Alpha هذه اللي هي
+
+44
+00:03:24,480 --> 00:03:27,640
+الدالة اللي بدي استخدمها اللي بـتطبق عليها الـ Mean
+
+45
+00:03:27,640 --> 00:03:31,060
+Value Theorem وهذه أصلًا is differentiable
+
+46
+00:03:31,060 --> 00:03:36,360
+everywhere it is defined، قابلة الاشتقاق لكل X أكبر
+
+47
+00:03:36,360 --> 00:03:41,560
+من ناقص واحد ولكل Alpha أكبر من 100 من 1، ماشي الحال؟
+
+48
+00:03:41,560 --> 00:03:50,160
+إذا الآن for x أكبر من صفر we apply the mean value
+
+49
+00:03:50,160 --> 00:03:57,400
+theorem on .. مين هو؟ on f of x بـيساوي 1 زائد x to 
+
+50
+00:03:57,400 --> 00:04:03,340
+the alpha على الـ interval .. on the interval مين هي 
+
+51
+00:04:03,340 --> 00:04:07,920
+بـنتوقع؟ اللي هي صفر و X، زي ما عملنا المرة الماضية
+
+52
+00:04:07,920 --> 00:04:12,380
+لأننا مهتم بمن بالمنطقة 0 و X على أساس أن نحصل
+
+53
+00:04:12,380 --> 00:04:18,260
+على هذه الـ inequality زي ما هنشوف كيف، واضح اه؟ إيش 
+
+54
+00:04:18,260 --> 00:04:20,400
+الـ mean value theorem بـتقول إذا كانت F 
+
+55
+00:04:20,400 --> 00:04:23,820
+continuous على هذه و differentiable على الـ open و
+
+56
+00:04:23,820 --> 00:04:30,940
+هذا كله متحقق، إذا then there exists C element in 0 
+
+57
+00:04:30,940 --> 00:04:41,560
+X such that اللي هو F prime of C بـيساوي اللي هو F of
+
+58
+00:04:41,560 --> 00:04:47,840
+X ناقص F of Zero على X minus Zero اللي مضروبة في من
+
+59
+00:04:47,840 --> 00:04:53,820
+وكأنه في X على X minus Zero، يعني وكأنه هذه مضروبة 
+
+60
+00:04:53,820 --> 00:05:00,260
+في X، واضح اه؟ الآن الـ F prime للدالة هذه اللي 
+
+61
+00:05:00,260 --> 00:05:03,680
+أخذتها الـ F prime إلها أكيد كلكم بـتعرفوا كام إلها؟
+
+62
+00:05:03,680 --> 00:05:08,800
+على جهة الـ F prime بـتحسبها عند مين؟ عند C، فبصير X 
+
+63
+00:05:08,800 --> 00:05:15,780
+في الـ F prime إلها Alpha في واحد زائد X أس Alpha 
+
+64
+00:05:15,780 --> 00:05:20,440
+ناقص واحد لكن بـتحسبها عند مين؟ عند C، إذا هذه بـتكون
+
+65
+00:05:20,440 --> 00:05:27,340
+C بـتساوي اللي هو f of x قد إيش؟ اللي هي واحد زائد x to 
+
+66
+00:05:27,340 --> 00:05:30,700
+the alpha وهي اللي بديها أنا، f of zero إيش بتساوي؟
+
+67
+00:05:30,700 --> 00:05:36,400
+f of zero بتساوي واحد، ناقص واحد، اللي صار عندي إذا 
+
+68
+00:05:36,400 --> 00:05:44,260
+اللي هو واحد زائد x to the alpha بـتساوي واحد زائد
+
+69
+00:05:44,260 --> 00:05:51,850
+x في alpha في واحد زائد c أس alpha ناقص واحد، معايا
+
+70
+00:05:51,850 --> 00:06:00,130
+يا شباب، هذه سميها واحد، واضح
+
+71
+00:06:00,130 --> 00:06:06,770
+اه؟ الآن عندي الـ alpha أكبر من مين؟ من واحد، لأن
+
+72
+00:06:06,770 --> 00:06:12,590
+but alpha ناقص واحد أكبر من مين؟ من صفر، لأن الـ
+
+73
+00:06:12,590 --> 00:06:19,130
+alpha أكبر من واحد، وعندي هذه الـ C شمالها بين الـ
+
+74
+00:06:19,130 --> 00:06:26,650
+0 والـ X، يعني أكبر من 0 and C أكبر من 0، إذا صار
+
+75
+00:06:26,650 --> 00:06:37,420
+عندي المقدار هذا 1 زائد C نفسه أكبر من 1، ولما ترفعه
+
+76
+00:06:37,420 --> 00:06:43,080
+لأس موجب، هيظل أكبر من مين؟ و strictly أكبر من
+
+77
+00:06:43,080 --> 00:06:47,660
+واحد، والمساواة بس عند مين؟ عند الـC بالساوية صفر،
+
+78
+00:06:47,660 --> 00:06:53,730
+واضح اه؟ طيب الآن صار هذا المقدار أكبر من واحد، إذا
+
+79
+00:06:53,730 --> 00:07:00,250
+عندي X موجبة و Alpha موجبة، مظبوط ولا لأ؟ لأن X هي
+
+80
+00:07:00,250 --> 00:07:05,790
+أكبر من 0 و Alpha أكبر من 1، إذا أضرب الجهتين في
+
+81
+00:07:05,790 --> 00:07:13,510
+Alpha في X بيصير عندي Alpha في X and so Alpha في X
+
+82
+00:07:13,510 --> 00:07:22,710
+بالضرورة أكبر من مين؟ Alpha X في الـ 1 زائد الـ c plus 
+
+83
+00:07:22,710 --> 00:07:27,110
+alpha minus 1 بيبقى أكبر من 100 من alpha في x 
+
+84
+00:07:27,110 --> 00:07:30,670
+واضح؟ اللي سوّيته ضربت alpha x في الجهتين والـ 
+
+85
+00:07:30,670 --> 00:07:33,890
+alpha x موجبة ضلت الـ inequality زي ما هي طبعًا، لا
+
+86
+00:07:33,890 --> 00:07:39,370
+تساوي الصفة بالـ alpha ولا الـ X، إذا من 1 و من 2 we
+
+87
+00:07:39,370 --> 00:07:44,530
+have done from 1
+
+88
+00:07:44,530 --> 00:07:51,270
+and 2 من واحد واثنين بيطلع عندي اللي هو واحد 
+
+89
+00:07:51,270 --> 00:07:57,130
+زائد X طول الف اللي هو بيساوي المقدار هذا اللي 
+
+90
+00:07:57,130 --> 00:08:02,070
+هذا الجزء منه أثبتنا إنه أكبر من مين؟ من الف في x 
+
+91
+00:08:02,070 --> 00:08:13,800
+لذا صار هذا أكبر من واحد زائد الف x، أي سؤال؟ إذا
+
+92
+00:08:13,800 --> 00:08:18,120
+في حالة الـ X أكبر من 0 وجدنا الـ 1 زائد X أو أكبر من 
+
+93
+00:08:18,120 --> 00:08:25,580
+1 زائد الف X، لأن هنعمل نفس الشيء بس في الحالة مين؟
+
+94
+00:08:25,580 --> 00:08:32,400
+في حالة الـ X أصغر من 0 وطبعًا أكبر من مين؟ من سالب
+
+95
+00:08:32,400 --> 00:08:37,860
+1، إذا بدي آخذ الـ X أكبر من 0 وأكبر من ناقص 1 وأصغر 
+
+96
+00:08:37,860 --> 00:08:42,250
+من مين؟ من 0، لاحظ لما تكون X أكبر من ناقص واحد، أصغر
+
+97
+00:08:42,250 --> 00:08:46,110
+من صفر، برضه نطبق الـ mean value theorem على هذه
+
+98
+00:08:46,110 --> 00:08:53,450
+نفس الدالة الآن on the interval، mean الآن X وصفر
+
+99
+00:08:53,450 --> 00:08:57,850
+لأن X هي مالها؟ الصغيرة على الـ interval X وصفر، لأن
+
+100
+00:08:57,850 --> 00:09:03,110
+X سالبة، طيب إذا برضه there exists C element الـ
+
+101
+00:09:03,110 --> 00:09:11,000
+mean in X و Zero نفس البرهان such that X فـ F
+
+102
+00:09:11,000 --> 00:09:15,000
+prime of C بيساوي F of X ناقص F of Zero، نفس الحاجة
+
+103
+00:09:15,000 --> 00:09:19,140
+بيصير الـ X في Alpha في هذا المقدار وهذا المقدار
+
+104
+00:09:19,140 --> 00:09:23,160
+ما تغيرش ولا شيء، بيصير واحد زائد X وده Alpha بيساوي
+
+105
+00:09:23,160 --> 00:09:26,360
+واحد زائد X في Alpha في واحد زائد C أس Alpha ناقص 
+
+106
+00:09:26,360 --> 00:09:31,560
+واحد، الآن بيجي الأسباب هنا الـ Alpha ناقص واحد
+
+107
+00:09:31,560 --> 00:09:36,840
+شمالها أكبر من صفر زي ما هو لكن الـ C الآن اللي
+
+108
+00:09:36,840 --> 00:09:41,110
+لجيناها وين موجودة؟ في المنطقة السالبة، ده الـ C إيش
+
+109
+00:09:41,110 --> 00:09:47,830
+هتصير؟ معاينتش يا بابا هتصير الـ C أصغر من مين؟ من 
+
+110
+00:09:47,830 --> 00:09:53,990
+صفر سالبة، مدام الـ C سالبة إذا واحد زائد C هتصير
+
+111
+00:09:53,990 --> 00:10:01,310
+أصغر من مين؟ من واحد، واحد زائد C أصغر من واحد، واضح؟
+
+112
+00:10:01,310 --> 00:10:09,690
+طيب مدام واحد زائد C أصغر من واحد هيكون عندي and so
+
+113
+00:10:09,690 --> 00:10:19,130
+أضرب الجهتين الآن في اللي هي Alpha، Alpha Alpha 
+
+114
+00:10:19,130 --> 00:10:22,410
+بـتظل زي ما هي لما نضرب في Alpha لأن Alpha إيه؟
+
+115
+00:10:22,410 --> 00:10:26,370
+معناها موجبة، ده لو ضربت في Alpha هنا و Alpha هنا
+
+116
+00:10:26,370 --> 00:10:31,600
+بـتظل زي ما هي، لأن بدنا نضرب في مين؟ في X و X
+
+117
+00:10:31,600 --> 00:10:37,740
+شمالها سالبة فهتنجلي بالإشارة كمان مرة، بيصير and 
+
+118
+00:10:37,740 --> 00:10:44,220
+so X في Alpha في واحد زائد C أس Alpha ناقص واحد
+
+119
+00:10:44,220 --> 00:10:51,150
+هتصير أكبر من Alpha في X لأن X سالبة، إذا صار عندي
+
+120
+00:10:51,150 --> 00:10:56,590
+هذا المقدار أكبر من هذا، لأن من واحد ومن اثنين زي
+
+121
+00:10:56,590 --> 00:11:00,650
+ما عملنا قبل شوية، بـتصير المقدار هذا اللي هو أكبر
+
+122
+00:11:00,650 --> 00:11:04,750
+من واحد زائد Alpha X strictly، لاحظوا إنه في
+
+123
+00:11:04,750 --> 00:11:11,630
+الجهتين سواء X أكبر من صفر أو أصغر من صفر، لجينا أن 
+
+124
+00:11:11,630 --> 00:11:16,350
+الـ inequality هذه متحقق أو strictly متحقق 
+
+125
+00:11:19,030 --> 00:11:25,190
+الآن المساوي وين صارت؟ عند الصفر، فالآن عشان ناخد 
+
+126
+00:11:25,190 --> 00:11:29,090
+بعين الاعتبار الحالة اللي هي x أكبر من ناقص واحد و
+
+127
+00:11:29,090 --> 00:11:33,430
+أصغر من صفر وحالة x أكبر من صفر وحالة x بتساوي
+
+128
+00:11:33,430 --> 00:11:38,870
+صفر، بيصير هذا المقدار أكبر أو يساوي لكل x، لكل x
+
+129
+00:11:38,870 --> 00:11:43,760
+ماله؟ أكبر من ناقص واحد، لأن الاتجاه الثاني من هذا
+
+130
+00:11:43,760 --> 00:11:48,880
+أثبتناه في الواقع، إيش هو؟ إنه لو كان فيه equality، X
+
+131
+00:11:48,880 --> 00:11:54,280
+بتساوي 0 أو بمعنى آخر X لا تساوي 0 بيعطي إيه؟
+
+132
+00:11:54,280 --> 00:12:01,720
+شماله non equality، is not equal وهذا حدث كيف؟ حدث
+
+133
+00:12:01,720 --> 00:12:06,240
+أثبتنا إنه لما X أكبر من ناقص واحد وأصغر من 0 أو X 
+
+134
+00:12:06,240 --> 00:12:10,720
+أكبر من 0 لجينا إنه هذه strictly أكبر يعني بتساوي
+
+135
+00:12:10,720 --> 00:12:15,260
+hash، إذا صار عند الـ equality بـتحدث if and only if X 
+
+136
+00:12:15,260 --> 00:12:22,580
+فبـتساوي صفر، أي سؤال؟
+
+137
+00:12:22,580 --> 00:12:30,240
+طيب نيجي الآن، نيجي الآن للـ intermediate value of 
+
+138
+00:12:30,240 --> 00:12:35,960
+property of derivative، خلّيني ألقى في عينتها إذا
+
+139
+00:12:35,960 --> 00:12:42,760
+بتتذكروا في الـ intermediate value of property اللي
+
+140
+00:12:42,760 --> 00:12:46,660
+هو for a continuous function، إذا بتذكروا فيه اللي 
+
+141
+00:12:46,660 --> 00:12:53,540
+هو real واحد اللي كانت تقول إذا كانت تقول إنه لو 
+
+142
+00:12:53,540 --> 00:13:01,880
+كانت F function continuous على a closed interval على
+
+143
+00:13:01,880 --> 00:13:07,020
+closed interval من A لعند B، continuous على الفترة 
+
+144
+00:13:07,020 --> 00:13:16,060
+هذه وإجيت أخذت أي نقطة K بين الـ F of A وبين الـ F 
+
+145
+00:13:16,060 --> 00:13:22,900
+of B، وإجيت أخذت أي نقطة، خذ مثلًا نقطة K بين F of
+
+146
+00:13:22,900 --> 00:13:31,240
+A .. هي F of A وهي F of B .. هي F of A وهي F of 
+
+147
+00:13:31,240 --> 00:13:36,540
+B، لو إجيت أخذت أي K بينهم هتلاقي .. هو خلي ناخد K
+
+148
+00:13:36,540 --> 00:13:43,830
+هنا مثلًا هتلاقي على الأقل نقطة في الفترة A و B بتكون 
+
+149
+00:13:43,830 --> 00:13:49,890
+اللي هو صورتها عبارة عن مين؟ عن الـ K، يعني بمعنى
+
+150
+00:13:49,890 --> 00:13:55,970
+آخر there exists C element in A وB such that F of
+
+151
+00:13:55,970 --> 00:14:01,050
+C هي مين؟ الـ K ولا أصلًا مش هتلاقيها continuous لو
+
+152
+00:14:01,050 --> 00:14:05,530
+ما فيهاش فئلة وجينا مدينا خطنا هلجيت ومالجيناش
+
+153
+00:14:05,530 --> 00:14:09,290
+ولا واحدة من هذه النقاط اللي هو تقطع الخط، معناته
+
+154
+00:14:09,290 --> 00:14:14,410
+أنه صار فيه jump، مش هيكون في continuity، الآن هنا مش
+
+155
+00:14:14,410 --> 00:14:19,890
+في نقطة هي نقطة هي نقطتين هي تلاتة كلهم صورتين هي
+
+156
+00:14:19,890 --> 00:14:27,610
+C1 هي C2 هي C3، كلهم F of C1 K F of C2 K F of C3 K 
+
+157
+00:14:27,610 --> 00:14:33,150
+المهم على الأقل في C element in A وB اللي هي بحيث
+
+158
+00:14:33,150 --> 00:14:36,210
+F of C بـتساوي K، هذا لو كان اتقفز continuous على 
+
+159
+00:14:36,210 --> 00:14:40,650
+closed اللي هي bounded interval اللي عندك الآن 
+
+160
+00:14:43,230 --> 00:14:47,090
+الحديث بيقول لي في شيء مشابه في حالة أن الـ F' is
+
+161
+00:14:47,090 --> 00:14:53,950
+differentiable، الآن بيقول لك لو كانت K بين الـ F' للـ
+
+162
+00:14:53,950 --> 00:14:58,970
+A والـ F' للـ B برضه هنلاقيها بـتتحقق اللي هو there
+
+163
+00:14:58,970 --> 00:15:03,810
+exists C بحيث أن F prime of C بـتساوي اللي هو الـ k
+
+164
+00:15:03,810 --> 00:15:10,530
+نحكي عنها بالرغم إنه مش مفترضين احنا في النظرية 
+
+165
+00:15:10,530 --> 00:15:14,190
+اللي هو الـ continuity الـ continuity للـ F prime
+
+166
+00:15:16,020 --> 00:15:19,360
+فضبجنا على الـ F' لكن مش .. لأنهم افترضنا على طول
+
+167
+00:15:19,360 --> 00:15:22,300
+بـتطبق الـ Intermediate Value Theorem بس على الدالة
+
+168
+00:15:22,300 --> 00:15:26,980
+الـ F' لكن لا ما هو مخزون في دالة .. خلال الـ F'
+
+169
+00:15:27,380 --> 00:15:33,140
+من معلومات أهلها إنه في حالة F is differentiable 
+
+170
+00:15:33,140 --> 00:15:37,940
+على الـ interval I والـ
+
+201
+00:18:13,360 --> 00:18:19,000
+من F of C لكل X وين موجودة هي وراضية منها لكل X
+
+202
+00:18:19,000 --> 00:18:24,340
+موجودة وين جابوها من C نقص دلتا لعند مين؟ لعند C
+
+203
+00:18:24,340 --> 00:18:29,800
+من C نقص دلتا لعند C هذه بس اللمّة للاستذكار، إيش 
+
+204
+00:18:29,800 --> 00:18:32,780
+بتقول اللمّة؟ تعال نشوف بالظبط اللي بتقوله اللي
+
+205
+00:18:32,780 --> 00:18:36,220
+حكيته أنا بقول اللمّة let I subset من R be an
+
+206
+00:18:36,220 --> 00:18:40,260
+interval and let F من I ل R و let C element in I
+
+207
+00:18:40,260 --> 00:18:44,700
+and assume that F has a derivative at C نفترض أن 
+
+208
+00:18:44,700 --> 00:18:50,120
+الـ F هيّاها مشتقة عند النقطة C مقولي إذا F prime
+
+209
+00:18:50,120 --> 00:18:54,200
+أكبر من 0 عند الـ C هاي اللي قلته هان إذا نوجد
+
+210
+00:18:54,200 --> 00:18:58,500
+دلتا أكبر من 0 بحيث أن F of X أكبر من F of C لكل
+
+211
+00:18:58,500 --> 00:19:02,560
+الـ X وين موجودة بين الـ C و C زائد دلتا اللي هي
+
+212
+00:19:02,560 --> 00:19:03,280
+الجبل هنا
+
+213
+00:19:06,510 --> 00:19:10,590
+الثانية، إذا كانت F' أصغر من 0، حلاقي Delta بحيث
+
+214
+00:19:10,590 --> 00:19:15,430
+أن F of C أصغر واحدة في الجوار، يعني F of C أو في
+
+215
+00:19:15,430 --> 00:19:19,010
+الجزء من الجوار، هذا الجزء اللي لجاي، F of C أصغر
+
+216
+00:19:19,010 --> 00:19:24,370
+من F of X، وين هاي الـ F of X هنا؟ أكبر من F of C،
+
+217
+00:19:24,370 --> 00:19:29,870
+واضح؟ لكل X وين موجودة في الـ C minus Delta والـ C
+
+218
+00:19:31,220 --> 00:19:36,360
+أي سؤال البرهان هو A خلّينا نبرهن بيه نحن بيه
+
+219
+00:19:36,360 --> 00:19:40,980
+خلّينا نبرهن مع بعض بيه
+
+220
+00:19:40,980 --> 00:19:46,840
+الآن
+
+221
+00:19:46,840 --> 00:19:53,820
+بدنا نقول نفترض أن F برايم بيه
+
+222
+00:19:53,820 --> 00:20:02,190
+approved الآن ما أعطينا F برايم of C أصغر من صفر،
+
+223
+00:20:02,190 --> 00:20:11,750
+مظبوط؟ لأن بتقول since f prime of c أصغر من صفر
+
+224
+00:20:11,750 --> 00:20:21,070
+then limit f of x ناقص f of c على x minus c لما x 
+
+225
+00:20:21,070 --> 00:20:27,540
+تروح للـ c إشماله أصغر من صفر ماشي، مدام أصغر من صفر
+
+226
+00:20:27,540 --> 00:20:31,080
+عند.. قلنا قبل هيك في نظرية إذا كان اللي هو
+
+227
+00:20:31,080 --> 00:20:35,600
+المقدار هذا أصغر من صفر إذا بقدر ألاقي جوار
+
+228
+00:20:35,600 --> 00:20:41,240
+حواليها بتكون القيم كلها إشماله أصغر من صفر إذا
+
+229
+00:20:41,240 --> 00:20:48,560
+then there exist V Delta of C اللي هو جوار جوار من
+
+230
+00:20:48,560 --> 00:20:55,260
+عند C minus Delta لعند C زائد Delta ماشي؟ اللي هو
+
+231
+00:20:55,260 --> 00:20:58,980
+احنا أخدناها من هذا المنطقة من C نقص دلتا لـ C زائد
+
+232
+00:20:58,980 --> 00:21:06,700
+دلتا such that اللي هو F of X نقص F of C على X
+
+233
+00:21:06,700 --> 00:21:16,220
+minus C أصغر من صفر لكل X وين في V دلتا of C أنا
+
+234
+00:21:16,220 --> 00:21:22,300
+غرضي أني أخلي اللي هو أوجد mean أن F of X أكبر من 
+
+235
+00:21:22,300 --> 00:21:25,900
+F of C بدي أوجد المنطقة اللي بتكون فيها F of
+
+236
+00:21:25,900 --> 00:21:31,880
+X أكبر من مين من F of C لاحظ أنه هذا بديها وكأن F
+
+237
+00:21:31,880 --> 00:21:36,480
+of X ناقص F of C بديها أكبر من 0 صح عشان أحصل F of
+
+238
+00:21:36,480 --> 00:21:40,420
+X أكبر من مين من F of C لذن عشان أحصل على هذا
+
+239
+00:21:40,420 --> 00:21:45,000
+المقدار أكبر من 0 وانا بعرف أن هذا كله أصغر من 0
+
+240
+00:21:45,000 --> 00:21:48,880
+بدي المنطقة هذه تكون أصغر من 0 وين هتكون أصغر من
+
+241
+00:21:48,880 --> 00:21:57,510
+0؟ في المنطقة هذه، ماشي الحال؟ الآن but for every x
+
+242
+00:21:57,510 --> 00:22:05,650
+element in c نقص دلتا و c الـ x minus c أصغر من
+
+243
+00:22:05,650 --> 00:22:15,800
+صفر واضحة؟ إذن الآن من هذه و من هذه hence F of X
+
+244
+00:22:15,800 --> 00:22:23,300
+ناقص F of C اللي هي بتساوي X minus C في F of X
+
+245
+00:22:23,300 --> 00:22:30,300
+ناقص F of C على X minus C هذا سالب وهذا سالب لذا
+
+246
+00:22:30,300 --> 00:22:35,260
+حصل ضرب بين إشماله هكون أكبر من صفر سالب في سالب
+
+247
+00:22:35,260 --> 00:22:42,720
+موجب مظبوط لهذا الكلام لكل X وين موجودة في الـ C
+
+248
+00:22:43,730 --> 00:22:52,150
+-Delta OC وهذا معنى أن F of X أكبر من F of C لنقطة
+
+249
+00:22:52,150 --> 00:22:59,950
+المذكورة لنقاط المذكورة واضح؟ أي سؤال؟ نجي الآن
+
+250
+00:22:59,950 --> 00:23:04,930
+اللي هو أن نبرهن الـ Darboux's theorem اللي حكينا
+
+251
+00:23:04,930 --> 00:23:08,350
+عنها وقدمنا لها قبل بشوية إيش الـ Darboux's
+
+252
+00:23:08,350 --> 00:23:15,010
+theorem بتقول أنه عندي الـ F هو مستخدم للتحدي في بعض
+
+253
+00:23:15,010 --> 00:23:19,250
+الانترفالين
+
+254
+00:23:19,250 --> 00:23:19,950
+A و B
+
+255
+00:23:23,800 --> 00:23:29,540
+اللي هي أي K بين F' و F'
+
+256
+00:23:32,040 --> 00:23:36,580
+of A و F' of B إذا نحن نلاقي الـ C بحيث أن F' of C
+
+257
+00:23:36,580 --> 00:23:42,020
+هي الـ K كمان مرة Darboux's theorem بتقول if F
+
+258
+00:23:42,020 --> 00:23:47,520
+is differentiable on A و B و if K is any number
+
+259
+00:23:47,520 --> 00:23:53,610
+between F' of A و F' of B then there exists at
+
+260
+00:23:53,610 --> 00:23:56,350
+least one point C في الـ A والـ B بحيث أن الـ Alpha
+
+261
+00:23:56,350 --> 00:24:02,650
+Prime of C إيش بتساوي؟ بتساوي K ماشي يا شباب طيب
+
+262
+00:24:02,650 --> 00:24:06,890
+اللي زي ما علقنا قبل بشوية بالرغم إنه إحنا ما حدش
+
+263
+00:24:06,890 --> 00:24:11,810
+جاب سيرة إن الـ Alpha Prime هتكون continuous لأ،
+
+264
+00:24:11,810 --> 00:24:16,310
+قلنا ما في الـ F' من مخزون، derivative من مخزون في
+
+265
+00:24:16,310 --> 00:24:21,530
+داخلنا المعلومات أهلها إنها تقدر تصل أنه لأي K بين
+
+266
+00:24:21,530 --> 00:24:27,190
+الـ F' A و الـ F' A و الـ F' B بالـ Legacy بحيث أن 
+
+267
+00:24:27,190 --> 00:24:31,170
+F' اللي عند الـ C هي الـ K. إيه المرحلة دلوقتي؟
+
+268
+00:24:31,170 --> 00:24:41,150
+شوف، نفترض أنه Proof نفترض أن G of A أصغر من K أصغر
+
+269
+00:24:41,150 --> 00:24:52,230
+من مين من G أو F prime of A أصغر من F prime of B
+
+270
+00:24:52,230 --> 00:24:56,450
+ماشي الحال واضح
+
+271
+00:24:56,450 --> 00:25:02,430
+هذا فرضناه الآن بدنا نلاقي C بحيث إنه F' للـ C هو
+
+272
+00:25:02,430 --> 00:25:06,530
+الـ K الآن define هالجيه تعرف ليش أعرفت defining
+
+273
+00:25:06,530 --> 00:25:15,590
+function G of X بساوي K في الـ X ناقص F of X عندي
+
+274
+00:25:15,590 --> 00:25:18,790
+اللي هي هذه الدالة هي الدالة اللي هتوصلني للي
+
+275
+00:25:18,790 --> 00:25:23,800
+بديها الآن واضح أن الـ G of x بيساوي kx ناقص f of x
+
+276
+00:25:23,800 --> 00:25:29,660
+أنها differentiable اللي هو هذه وين ما كان و هذي
+
+277
+00:25:29,660 --> 00:25:32,080
+differentiable على الـ I إذا صار أن التنتين
+
+278
+00:25:32,080 --> 00:25:35,960
+differentiable على مين؟ على الـ A و الـ B و طبيعي
+
+279
+00:25:35,960 --> 00:25:40,440
+continuous على الـ A و الـ B إذا بما أن هذا الدالة
+
+280
+00:25:40,440 --> 00:25:44,440
+is continuous على closed bounded interval then it
+
+281
+00:25:44,440 --> 00:25:47,580
+attains its maximum and its minimum on this
+
+282
+00:25:47,580 --> 00:25:51,870
+interval بتنه نشتغل عليه الـ maximum و لو حد بده
+
+283
+00:25:51,870 --> 00:25:58,670
+يشتغل عليه المنه مابنفع برضه الآن then g of x
+
+284
+00:25:58,670 --> 00:26:09,810
+attains its maximum on mean on a و b لأن إيش اللي
+
+285
+00:26:09,810 --> 00:26:15,370
+بيدثبتلك هي بيدثبتلك إن الـ G هيكون الـ maximum
+
+286
+00:26:15,370 --> 00:26:21,150
+إلها لا عند الـ A ولا عند الـ B إذا هتكون وين؟ في
+
+287
+00:26:21,150 --> 00:26:25,870
+نقطة داخلية مدام في نقطة داخلية وإحنا عارفين إن
+
+288
+00:26:25,870 --> 00:26:29,490
+الـ G differentiable على كل المنطقة هذه إذا صارت
+
+289
+00:26:29,490 --> 00:26:33,050
+غصب عني إنه لازم مدام عندها maximum و interior
+
+290
+00:26:33,050 --> 00:26:38,390
+point إذا الـ G prime إيش هتساوي؟ هتساوي 0 واضح؟
+
+291
+00:26:38,390 --> 00:26:42,590
+مدام G prime ما هتساوي صفر هتصير الـ F prime of X
+
+292
+00:26:42,590 --> 00:26:46,550
+الـ F of some C بتساوي الـ K و بيكون خلصنا البرهان
+
+293
+00:26:46,550 --> 00:26:49,950
+تشوفوا اللي بقوله طيب صلوا على النبي عليه الصلاة
+
+294
+00:26:49,950 --> 00:27:05,390
+والسلام الآن عندي الـ G prime of X هتساوي K ناقص F
+
+295
+00:27:05,390 --> 00:27:11,520
+prime of مين؟ of X صح ولا لأ؟ طيب الآن لو جينا
+
+296
+00:27:11,520 --> 00:27:21,540
+حسبنا الـ G' عند الـ A إيش هتلاقيها؟ K ناقص F' عند
+
+297
+00:27:21,540 --> 00:27:28,740
+مين؟ عند الـ A صح ولا لأ؟ K ناقص F' عند الـ A هتكون
+
+298
+00:27:28,740 --> 00:27:35,260
+أكبر من مين؟ من 0 واضح مدام الـ G' على الـ A أكبر من 
+
+299
+00:27:35,260 --> 00:27:35,520
+0
+
+300
+00:27:39,110 --> 00:27:49,430
+K - F' أكبر من صفر بما أن G' بسوء K - F' أكبر من صفر
+
+301
+00:27:49,430 --> 00:27:53,450
+يعني هذا أكبر من صفر حسب اللي قبل قليل حكينا عنها
+
+302
+00:27:53,450 --> 00:28:06,330
+ثم هناك دلتا أكبر من صفر such that G' of X أكبر من
+
+303
+00:28:06,330 --> 00:28:13,400
+G of A اللي كنا بسمينا C فاهمين عليها الـ G of X
+
+304
+00:28:13,400 --> 00:28:22,800
+أكبر من G of A for every X element in متذكرين اللي
+
+305
+00:28:22,800 --> 00:28:27,480
+قبل بشوية لما كانت G prime لما كانت الـ G prime
+
+306
+00:28:27,480 --> 00:28:32,860
+أكبر من صفر كانت اللي هي وين لجاي X element لغاية
+
+307
+00:28:32,860 --> 00:28:40,920
+أسف X element in C اللي هي A هنا و A زائد دلتا اللي
+
+308
+00:28:40,920 --> 00:28:45,240
+هي ما اللي قبل بشوية إذا صارت عند G of X أكبر من
+
+309
+00:28:46,010 --> 00:28:50,890
+G of A واضح لمين؟ لكل الـ Xات اللي هي في نص
+
+310
+00:28:50,890 --> 00:28:57,290
+الجوار هذا صارت عندي اللي هي الـ G of A مش maximum
+
+311
+00:28:57,290 --> 00:29:08,650
+لأن في قيم أكبر منها واضح؟ إذا أكيد then G does
+
+312
+00:29:08,650 --> 00:29:18,150
+not have a maximum at A إذا الفش مش maximum عند
+
+313
+00:29:18,150 --> 00:29:23,990
+مين؟ عند الـ A أي
+
+314
+00:29:23,990 --> 00:29:27,750
+سؤال؟
+
+315
+00:29:27,750 --> 00:29:36,990
+Similarly... Similarly G' عند الـ B معايا يا شباب
+
+316
+00:29:36,990 --> 00:29:44,340
+G' عند الـ B بساوي K نقص F' عند الـ B و K نقص F
+
+317
+00:29:44,340 --> 00:29:49,840
+prime عند الـ B أصغر من مين؟ أصغر من 0 إذا بنفس
+
+318
+00:29:49,840 --> 00:29:54,600
+اللمّة بس على الجهة الثانية then there exists
+
+319
+00:29:54,600 --> 00:30:01,000
+Delta أكبر من 0 such that G of X أكبر من G of B
+
+320
+00:30:01,000 --> 00:30:11,520
+لكل X وان الآن من عند B ناقص Delta لعند الـ B صح؟
+
+321
+00:30:12,880 --> 00:30:19,600
+وهنا end points هذول فمش هتكون برضه مين الـ b مش
+
+322
+00:30:19,600 --> 00:30:24,940
+هتكون عندها maximum لأنه منها ولا جوا الـ b end
+
+323
+00:30:24,940 --> 00:30:28,920
+point منها ولا جوا الـ G of x أكبر من الـ G of b إذن
+
+324
+00:30:28,920 --> 00:30:38,160
+مش maximum إذن hence g does not have a maximum at
+
+325
+00:30:38,160 --> 00:30:45,380
+b from هنا و from هنا from here and here we have g
+
+326
+00:30:45,380 --> 00:30:48,700
+has
+
+327
+00:30:48,700 --> 00:31:00,180
+the maximum inside a و b، مظبوط؟ يعني بمعنى آخر،
+
+328
+00:31:00,180 --> 00:31:06,100
+مدام احنا أكيد attained its maximum there exists c
+
+329
+00:31:06,100 --> 00:31:13,970
+element in a و b such that G has a maximum مدام G
+
+330
+00:31:13,970 --> 00:31:18,770
+has a maximum و interior point إذا G prime عند الـ
+
+331
+00:31:18,770 --> 00:31:23,390
+C إيش بتساوي؟ بتساوي صفر مدام G prime عند الـ C
+
+332
+00:31:23,390 --> 00:31:28,090
+بتساوي صفر إذا صار عندي hence
+
+333
+00:31:30,200 --> 00:31:33,960
+وهنا أكتب G prime عند الـ C إيش بيساوي؟ بيساوي
+
+334
+00:31:33,960 --> 00:31:39,120
+صفر إيش G prime بيساوي؟ K ناقص F prime إذا that
+
+335
+00:31:39,120 --> 00:31:43,020
+is K
+
+336
+00:31:43,020 --> 00:31:50,510
+إن هي بدل G prime ناقص F' عند C بيساوي صفر أو بمعنى
+
+337
+00:31:50,510 --> 00:31:57,090
+آخر F' عند C إيش بيساوي بيساوي K فعلا لقينا C في الـ
+
+338
+00:31:57,090 --> 00:32:02,770
+A و الـ B بحيث أن F' عند C إيش بتساوي بيساوي K كما
+
+339
+00:32:02,770 --> 00:32:13,170
+هو مطلوب هيّاها أي سؤال الآن
+
+340
+00:32:14,940 --> 00:32:21,600
+عندي المثال الأخير بقول لي use Darboux's theorem
+
+341
+00:32:21,600 --> 00:32:25,120
+هو في الواقع مثال على Darboux's theorem بقول لي
+
+342
+00:32:25,120 --> 00:32:32,060
+the function g من
+
+343
+00:32:32,060 --> 00:32:36,080
+ناقص واحد وواحد لعند الـ R defined by معرفة g of x
+
+344
+00:32:36,080 --> 00:32:39,320
+إيش بساوي واحد إذا كانت x أكبر من صفر وأصغر
+
+345
+00:32:39,320 --> 00:32:43,680
+بساوية واحد 0 إذا كانت X بيساوي واحد و ناقص واحد إذا
+
+346
+00:32:43,680 --> 00:32:46,180
+كانت X أكبر من ناقص و أكبر بيساوي ناقص واحد و
+
+347
+00:32:46,180 --> 00:32:52,360
+بيساوي صفر بقول لي أثبت أن هذه الدالة is not the
+
+348
+00:32:52,360 --> 00:32:57,160
+derivative is not a derivative of any function
+
+349
+00:32:57,160 --> 00:33:01,580
+يعني مافيش function في الدنيا بتكون مشتقتها هي هذه
+
+350
+00:33:01,580 --> 00:33:06,420
+الـ G هذه الـ G is not a derivative of any function
+
+351
+00:33:07,400 --> 00:33:10,800
+بدنا نقول suppose not ونصل لـ contradiction ماشي
+
+352
+00:33:10,800 --> 00:33:15,440
+الحال إذا الآن الـ
+
+353
+00:33:15,440 --> 00:33:27,280
+... النظرية ... الـ ... المثال بقول mainly المثال
+
+354
+00:33:27,280 --> 00:33:35,540
+بقول example example show that
+
+355
+00:33:38,010 --> 00:33:47,490
+G من ناقص واحد لعند الواحد لعند الـ R Defined by G
+
+356
+00:33:47,490 --> 00:33:53,610
+of X بساوي واحد إذا كانت X أكبر من صفر وأصغر يساوي
+
+357
+00:33:53,610 --> 00:33:59,290
+واحد صفر X بتساوي صفر ناقص واحد X أكبر يساوي ناقص
+
+358
+00:33:59,290 --> 00:34:08,330
+واحد وأصغر من صفر is not a derivative of any
+
+359
+00:34:08,330 --> 00:34:20,610
+function on ناقص واحد واحد solution أو proof اللي
+
+360
+00:34:20,610 --> 00:34:25,930
+قاعدين تقول suppose that
+
+361
+00:34:25,930 --> 00:34:36,550
+there exist f من ناقص واحد واحد لعند الـ R such that
+
+362
+00:34:36,550 --> 00:34:46,630
+f prime of x بساوي g of x لكل x element ناقص واحد
+
+363
+00:34:46,630 --> 00:34:51,870
+و واحد ماشي الحال إيش هذه الدالة هي في الواقع
+
+364
+00:34:51,870 --> 00:34:59,310
+الدالة هي الـ g of x هذه عندي صفر و أنا عند الواحد
+
+365
+00:34:59,310 --> 00:35:04,550
+عند الواحد و أنا سالب واحد
+
+366
+00:35:07,910 --> 00:35:16,170
+لعند اللي هو سنة واحد هيدّه ده اه لأن افترض انه F
+
+367
+00:35:16,170 --> 00:35:19,130
+بين ناقص واحد واحد such that F prime of X بيساوي G
+
+368
+00:35:19,130 --> 00:35:22,650
+of X واضح أن F is differentiable مدة هنا إذا قلت F prime
+
+369
+00:35:22,650 --> 00:35:25,390
+of X بيساوي G of X لكل X اللي من ناقص واحد واحد
+
+370
+00:35:25,390 --> 00:35:30,070
+صارت الـ F إيش مالها is differentiable مظبوط ولا لأ
+
+371
+00:35:30,070 --> 00:35:39,050
+is differentiable واتنين لأن but النص ينتبه إلى
+
+372
+00:35:39,050 --> 00:35:43,850
+الفترة ناقص واحد وواحد اللي هي إيش بتساوي اللي هي
+
+373
+00:35:43
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/POarYOfvYB0_raw.json b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/POarYOfvYB0_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..833cd04edb2a161577d50c1e051c277c45fc138b
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/POarYOfvYB0_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3065, "start": 4.89, "end": 30.65, "text": "بسم الله الرحمن الرحيم الان نتحدث عن الجزء الثاني من المحاضرة الخامسة لطلبة قسم رياضيات في كلية العلوم بالجامعة الإسلامية بغزا الجزء الثاني طبعا زي ما وعدناكم في البداية قلنا اللي هو هنكمل فيه اللي هو 6 اتنين اللي هي تطبيقات على ال mean value theorem او applications on mean value theorem هيكون في عندنا two applications", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 2423, 7649, 8717, 2655, 24401, 12984, 18871, 25724, 11622, 38207, 6024, 104, 7649, 1829, 9154, 9673, 5016, 46958, 25720, 33962, 10943, 3794, 3660, 5296, 9566, 46152, 3660, 12174, 38251, 12602, 1829, 46958, 1829, 9307, 8978, 28242, 10632, 18863, 1211, 20498, 20666, 7435, 10943, 27884, 33688, 3794, 37440, 10632, 4724, 17082, 11622, 995, 25724, 11622, 38207, 6024, 104, 7649, 1829, 23032, 3555, 3615, 995, 30767, 1829, 19446, 4032, 22488, 8315, 24793, 8978, 29739, 28259, 10632, 12174, 1211, 8315, 13672, 1829, 31439, 8032, 1863, 24793, 1211, 8978, 3224, 13672, 1829, 31439, 1386, 1975, 2655, 1863, 9957, 13672, 1829, 39896, 6055, 9566, 21292, 4587, 9307, 15844, 2423, 914, 2158, 20904, 1975, 2407, 5821, 322, 914, 2158, 20904, 8032, 1829, 30544, 8978, 43242, 8315, 732, 5821], "avg_logprob": -0.12008759170544869, "compression_ratio": 1.9333333333333333, "no_speech_prob": 1.1146068572998047e-05, "words": [{"start": 4.89, "end": 5.35, "word": "بسم", "probability": 0.89599609375}, {"start": 5.35, "end": 5.53, "word": " الله", "probability": 0.955078125}, {"start": 5.53, "end": 5.81, "word": " الرحمن", "probability": 0.9431966145833334}, {"start": 5.81, "end": 6.37, "word": " الرحيم", "probability": 0.99267578125}, {"start": 6.37, "end": 6.71, "word": " الان", "probability": 0.58306884765625}, {"start": 6.71, "end": 7.35, "word": " نتحدث", "probability": 0.97265625}, {"start": 7.35, "end": 7.55, "word": " عن", "probability": 0.990234375}, {"start": 7.55, "end": 7.97, "word": " الجزء", "probability": 0.97705078125}, {"start": 7.97, "end": 8.57, "word": " الثاني", "probability": 0.9508056640625}, {"start": 8.57, "end": 9.35, "word": " من", "probability": 0.97314453125}, {"start": 9.35, "end": 10.15, "word": " المحاضرة", "probability": 0.9840087890625}, {"start": 10.15, "end": 11.27, "word": " الخامسة", "probability": 0.9791259765625}, {"start": 11.27, "end": 12.57, "word": " لطلبة", "probability": 0.927490234375}, {"start": 12.57, "end": 13.03, "word": " قسم", "probability": 0.9892578125}, {"start": 13.03, "end": 13.89, "word": " رياضيات", "probability": 0.8798828125}, {"start": 13.89, "end": 14.23, "word": " في", "probability": 0.8759765625}, {"start": 14.23, "end": 14.69, "word": " كلية", "probability": 0.7127685546875}, {"start": 14.69, "end": 15.11, "word": " العلوم", "probability": 0.9534505208333334}, {"start": 15.11, "end": 15.61, "word": " بالجامعة", "probability": 0.89013671875}, {"start": 15.61, "end": 16.17, "word": " الإسلامية", "probability": 0.97607421875}, {"start": 16.17, "end": 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"end": 48.95, "word": " الجزء", "probability": 0.9573567708333334}, {"start": 48.95, "end": 49.85, "word": " الأول،", "probability": 0.9361979166666666}, {"start": 49.85, "end": 50.19, "word": " اللي", "probability": 0.82080078125}, {"start": 50.19, "end": 50.45, "word": " هو", "probability": 0.9931640625}], "temperature": 1.0}, {"id": 3, "seek": 7730, "start": 50.84, "end": 77.3, "text": "عبارة عن Bernoulli Inquality Bernoulli's Inquality اللي هي بتقولنا لو كانت عندي Alpha عبارة عن real number أكبر من واحد هيكون عندي الواحد زايد X to the Alpha أكبر يساوي واحد زايد Alpha X لكل X أكبر من مين من ناقص واحد with equality if and only if عند X مين عند X بالساوية سفر عندنا ال equality عند X أيش بتساوي بتساوي سفر شوف", "tokens": [3615, 3555, 9640, 3660, 18871, 10781, 263, 16320, 682, 11286, 10781, 263, 16320, 311, 682, 11286, 13672, 1829, 39896, 39894, 39648, 8315, 45164, 25961, 2655, 43242, 1829, 20588, 6225, 3555, 9640, 3660, 18871, 957, 1230, 5551, 4117, 26890, 9154, 36764, 24401, 39896, 30544, 43242, 1829, 2423, 14407, 24401, 30767, 995, 25708, 1783, 281, 264, 20588, 5551, 4117, 26890, 7251, 3794, 995, 45865, 36764, 24401, 30767, 995, 25708, 20588, 1783, 5296, 28820, 1783, 5551, 4117, 26890, 9154, 3714, 9957, 9154, 8717, 995, 4587, 9381, 36764, 24401, 365, 14949, 498, 293, 787, 498, 43242, 1783, 3714, 9957, 43242, 1783, 20666, 3794, 995, 2407, 10632, 8608, 5172, 2288, 43242, 8315, 2423, 14949, 43242, 1783, 36632, 8592, 39894, 3794, 995, 45865, 39894, 3794, 995, 45865, 8608, 5172, 2288, 13412, 38688], "avg_logprob": -0.19832676907223978, "compression_ratio": 1.901185770750988, "no_speech_prob": 1.7583370208740234e-05, "words": [{"start": 50.84, "end": 51.68, "word": "عبارة", "probability": 0.8779296875}, {"start": 51.68, "end": 51.96, "word": " عن", "probability": 0.9931640625}, {"start": 51.96, "end": 52.62, "word": " Bernoulli", "probability": 0.8961588541666666}, {"start": 52.62, "end": 53.18, "word": " Inquality", "probability": 0.60595703125}, {"start": 53.18, 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"word": " يساوي", "probability": 0.79547119140625}, {"start": 63.22, "end": 63.5, "word": " واحد", "probability": 0.978271484375}, {"start": 63.5, "end": 63.76, "word": " زايد", "probability": 0.9806315104166666}, {"start": 63.76, "end": 64.02, "word": " Alpha", "probability": 0.89990234375}, {"start": 64.02, "end": 64.4, "word": " X", "probability": 0.98876953125}, {"start": 64.4, "end": 65.24, "word": " لكل", "probability": 0.958740234375}, {"start": 65.24, "end": 65.56, "word": " X", "probability": 0.9873046875}, {"start": 65.56, "end": 65.92, "word": " أكبر", "probability": 0.9755859375}, {"start": 65.92, "end": 66.12, "word": " من", "probability": 0.99609375}, {"start": 66.12, "end": 66.5, "word": " مين", "probability": 0.76513671875}, {"start": 66.5, "end": 66.9, "word": " من", "probability": 0.78271484375}, {"start": 66.9, "end": 67.46, "word": " ناقص", "probability": 0.827392578125}, {"start": 67.46, "end": 67.88, "word": " واحد", "probability": 0.9892578125}, {"start": 67.88, 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{"start": 72.18, "end": 72.52, "word": " عندنا", "probability": 0.86962890625}, {"start": 72.52, "end": 72.62, "word": " ال", "probability": 0.90966796875}, {"start": 72.62, "end": 73.58, "word": " equality", "probability": 0.65576171875}, {"start": 73.58, "end": 74.58, "word": " عند", "probability": 0.97412109375}, {"start": 74.58, "end": 74.92, "word": " X", "probability": 0.99267578125}, {"start": 74.92, "end": 75.14, "word": " أيش", "probability": 0.628173828125}, {"start": 75.14, "end": 75.76, "word": " بتساوي", "probability": 0.9569091796875}, {"start": 75.76, "end": 76.52, "word": " بتساوي", "probability": 0.7769775390625}, {"start": 76.52, "end": 76.88, "word": " سفر", "probability": 0.97998046875}, {"start": 76.88, "end": 77.3, "word": " شوف", "probability": 0.861572265625}], "temperature": 1.0}, {"id": 4, "seek": 10731, "start": 78.01, "end": 107.31, "text": "زي ما عملنا المرة الماضية اللي هو E to the X اللي هي لما أخدناها وثبتنا إنها أكبر أو يساوي اللي هي الواحد زائد Alpha X والمساوية F and W الساوية اللي هو واحد الان see Bernoulli's inequality Bernoulli's inequality اللي هي كما يعني عندى خد Alpha أكبر من واحد", "tokens": [11622, 1829, 19446, 6225, 42213, 8315, 9673, 25720, 9673, 46958, 10632, 13672, 1829, 31439, 462, 281, 264, 1783, 13672, 1829, 39896, 5296, 15042, 5551, 9778, 3215, 8315, 11296, 4032, 12984, 3555, 2655, 8315, 36145, 11296, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 13672, 1829, 39896, 2423, 14407, 24401, 30767, 16373, 3215, 20588, 1783, 16070, 2304, 3794, 995, 2407, 10632, 479, 293, 343, 21136, 995, 2407, 10632, 13672, 1829, 31439, 36764, 24401, 2423, 7649, 536, 10781, 263, 16320, 311, 16970, 10781, 263, 16320, 311, 16970, 13672, 1829, 39896, 9122, 15042, 37495, 22653, 43242, 7578, 16490, 3215, 20588, 5551, 4117, 26890, 9154, 36764, 24401], "avg_logprob": -0.26712741215641683, "compression_ratio": 1.811926605504587, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 78.01, "end": 78.39, "word": "زي", "probability": 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" لما", "probability": 0.777587890625}, {"start": 84.91, "end": 85.49, "word": " أخدناها", "probability": 0.82861328125}, {"start": 85.49, "end": 85.87, "word": " وثبتنا", "probability": 0.8798828125}, {"start": 85.87, "end": 86.07, "word": " إنها", "probability": 0.621337890625}, {"start": 86.07, "end": 86.39, "word": " أكبر", "probability": 0.95068359375}, {"start": 86.39, "end": 86.53, "word": " أو", "probability": 0.9287109375}, {"start": 86.53, "end": 86.91, "word": " يساوي", "probability": 0.9239501953125}, {"start": 86.91, "end": 87.49, "word": " اللي", "probability": 0.92578125}, {"start": 87.49, "end": 87.69, "word": " هي", "probability": 0.892578125}, {"start": 87.69, "end": 88.45, "word": " الواحد", "probability": 0.6651204427083334}, {"start": 88.45, "end": 88.91, "word": " زائد", "probability": 0.8590494791666666}, {"start": 88.91, "end": 89.21, "word": " Alpha", "probability": 0.30908203125}, {"start": 89.21, "end": 89.55, "word": " X", "probability": 0.96435546875}, {"start": 89.55, "end": 90.15, "word": " والمساوية", "probability": 0.796875}, {"start": 90.15, "end": 90.43, "word": " F", "probability": 0.7626953125}, {"start": 90.43, "end": 90.61, "word": " and", "probability": 0.44091796875}, {"start": 90.61, "end": 90.85, "word": " W", "probability": 0.3046875}, {"start": 90.85, "end": 91.57, "word": " الساوية", "probability": 0.6816787719726562}, {"start": 91.57, "end": 92.05, "word": " اللي", "probability": 0.971923828125}, {"start": 92.05, "end": 92.23, "word": " هو", "probability": 0.947265625}, {"start": 92.23, "end": 92.69, "word": " واحد", "probability": 0.947021484375}, {"start": 92.69, "end": 93.59, "word": " الان", "probability": 0.650390625}, {"start": 93.59, "end": 93.99, "word": " see", "probability": 0.2454833984375}, {"start": 93.99, "end": 94.63, "word": " Bernoulli's", "probability": 0.881591796875}, {"start": 94.63, "end": 95.21, "word": " inequality", "probability": 0.92236328125}, {"start": 95.21, "end": 98.03, "word": " 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109.06, "end": 137.56, "text": "ف ألف أكبر من واحد then لو واحد زائد X to the ألف أكبر يساوي واحد زائد Alpha X لكل X أكبر من ناقص واحد والشغل التاني ان ال equality ال equality بتحدث if and only if X بتساوي سفر طبعا الان لو X بتساوي سفر automatic automatic بيصير عندى واحد بساوي واحد", "tokens": [5172, 5551, 46538, 5551, 4117, 26890, 9154, 36764, 24401, 550, 45164, 36764, 24401, 30767, 16373, 3215, 1783, 281, 264, 5551, 46538, 5551, 4117, 26890, 7251, 3794, 995, 45865, 36764, 24401, 30767, 16373, 3215, 20588, 1783, 5296, 28820, 1783, 5551, 4117, 26890, 9154, 8717, 995, 4587, 9381, 36764, 24401, 16070, 8592, 17082, 1211, 16712, 7649, 1829, 16472, 2423, 14949, 2423, 14949, 39894, 24401, 12984, 498, 293, 787, 498, 1783, 39894, 3794, 995, 45865, 8608, 5172, 2288, 23032, 3555, 3615, 995, 2423, 7649, 45164, 1783, 39894, 3794, 995, 45865, 8608, 5172, 2288, 12509, 12509, 4724, 1829, 9381, 13546, 43242, 7578, 36764, 24401, 4724, 3794, 995, 45865, 36764, 24401], "avg_logprob": -0.229410051185394, 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" F'", "probability": 0.9013671875}, {"start": 1464.73, "end": 1465.01, "word": " B", "probability": 0.94189453125}, {"start": 1465.01, "end": 1465.79, "word": " بالـ", "probability": 0.630859375}, {"start": 1465.79, "end": 1466.79, "word": " Legacy،", "probability": 0.5489501953125}, {"start": 1466.79, "end": 1467.07, "word": " بحيث", "probability": 0.838134765625}, {"start": 1467.07, "end": 1467.19, "word": " أن", "probability": 0.56689453125}, {"start": 1467.19, "end": 1467.51, "word": " F'", "probability": 0.6748046875}, {"start": 1467.89, "end": 1468.03, "word": " اللي", "probability": 0.873046875}, {"start": 1468.03, "end": 1468.23, "word": " عند", "probability": 0.9892578125}, {"start": 1468.23, "end": 1468.43, "word": " الـ", "probability": 0.908935546875}, {"start": 1468.43, "end": 1468.65, "word": " C", "probability": 0.84814453125}, {"start": 1468.65, "end": 1469.15, "word": " هي", "probability": 0.8544921875}, {"start": 1469.15, "end": 1469.35, "word": " الـ", 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maximum عند مين؟ عند الـ A أي سؤال؟ Similarly .. Similarly G' عند ال B معايا يا شباب G' عند ال B بساوي K نقص F' عند ال B", "tokens": [28814, 15730, 27188, 8592, 37893, 6674, 43242, 3714, 9957, 22807, 43242, 2423, 39184, 316, 36632, 8608, 33604, 6027, 22807, 13157, 4386, 13157, 460, 6, 43242, 2423, 363, 20449, 995, 25528, 35186, 13412, 3555, 16758, 460, 6, 43242, 2423, 363, 4724, 3794, 995, 45865, 591, 8717, 4587, 9381, 479, 6, 43242, 2423, 363], "avg_logprob": -0.2569280592900402, "compression_ratio": 1.4661654135338347, "no_speech_prob": 0.0, "words": [{"start": 1755.59, "end": 1755.89, "word": "إذا", "probability": 0.81591796875}, {"start": 1755.89, "end": 1756.35, "word": " الفش", "probability": 0.810302734375}, {"start": 1756.35, "end": 1757.21, "word": " مش", "probability": 0.68310546875}, {"start": 1757.21, "end": 1757.83, "word": " maximum", "probability": 0.90771484375}, {"start": 1757.83, "end": 1758.15, "word": " عند", "probability": 0.97998046875}, {"start": 1758.15, "end": 1759.41, "word": " مين؟", "probability": 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"end": 1808.64, "word": " لعند", "probability": 0.9404296875}, {"start": 1808.64, "end": 1808.82, "word": " الـ", "probability": 0.78271484375}, {"start": 1808.82, "end": 1808.96, "word": " B", "probability": 0.8642578125}, {"start": 1808.96, "end": 1811.52, "word": " صح؟", "probability": 0.9337565104166666}], "temperature": 1.0}, {"id": 74, "seek": 183974, "start": 1812.88, "end": 1839.74, "text": "وهنا end points هذول فمش هتكون برضه مين ال b مش هتكون عندها maximum لأنه منها ولا جوا ال b end point منها ولا جوا ال g of x أكبر من ال g of b إذن مش maximum إذن hence g does not have a maximum at b from هنا", "tokens": [2407, 3224, 8315, 917, 2793, 8032, 8848, 12610, 6156, 2304, 8592, 8032, 2655, 30544, 4724, 43042, 3224, 3714, 9957, 2423, 272, 37893, 8032, 2655, 30544, 43242, 11296, 6674, 5296, 33456, 3224, 9154, 11296, 49429, 10874, 14407, 2423, 272, 917, 935, 9154, 11296, 49429, 10874, 14407, 2423, 290, 295, 2031, 5551, 4117, 26890, 9154, 2423, 290, 295, 272, 11933, 8848, 1863, 37893, 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الأمر", "probability": 0.855224609375}, {"start": 2200.06, "end": 2200.92, "word": " but", "probability": 0.351806640625}, {"start": 2200.92, "end": 2201.38, "word": " نص", "probability": 0.923583984375}, {"start": 2201.38, "end": 2201.76, "word": " element", "probability": 0.87158203125}, {"start": 2201.76, "end": 2203.06, "word": " كده", "probability": 0.8527018229166666}, {"start": 2203.06, "end": 2203.94, "word": " and", "probability": 0.8837890625}, {"start": 2203.94, "end": 2209.4, "word": " D", "probability": 0.3115234375}, {"start": 2209.4, "end": 2210.06, "word": " F", "probability": 0.44580078125}, {"start": 2210.06, "end": 2210.64, "word": " is", "probability": 0.92236328125}, {"start": 2210.64, "end": 2211.74, "word": " differentiable", "probability": 0.96875}, {"start": 2211.74, "end": 2213.34, "word": " on", "probability": 0.90673828125}, {"start": 2213.34, "end": 2214.1, "word": " ناقص", "probability": 0.9786376953125}, {"start": 2214.1, "end": 2214.5, "word": " واحد", "probability": 0.988525390625}, {"start": 2214.5, "end": 2215.0, "word": " واحد", "probability": 0.759033203125}], "temperature": 1.0}, {"id": 89, "seek": 224444, "start": 2215.96, "end": 2244.44, "text": "صح؟ then by Darabaux's theorem there exist c element ناقص واحد وواحد such that اللي هو g of c او f prime of c بيساوي ايش نص صح؟", "tokens": [9381, 5016, 22807, 550, 538, 7803, 455, 7511, 311, 20904, 456, 2514, 269, 4478, 8717, 995, 4587, 9381, 36764, 24401, 4032, 14407, 24401, 1270, 300, 13672, 1829, 31439, 290, 295, 269, 1975, 2407, 283, 5835, 295, 269, 4724, 1829, 3794, 995, 45865, 1975, 1829, 8592, 8717, 9381, 20328, 5016, 22807], "avg_logprob": -0.3002451038828083, "compression_ratio": 1.1956521739130435, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2215.96, "end": 2217.12, "word": "صح؟", "probability": 0.8004557291666666}, {"start": 2217.12, "end": 2218.18, "word": " then", "probability": 0.47021484375}, {"start": 2218.18, "end": 2220.74, "word": " by", "probability": 0.81689453125}, {"start": 2220.74, "end": 2222.32, "word": " Darabaux's", "probability": 0.50592041015625}, {"start": 2222.32, "end": 2223.08, "word": " theorem", "probability": 0.896484375}, {"start": 2223.08, "end": 2225.44, "word": " there", "probability": 0.828125}, {"start": 2225.44, "end": 2226.22, "word": " exist", "probability": 0.615234375}, {"start": 2226.22, "end": 2227.84, "word": " c", "probability": 0.568359375}, {"start": 2227.84, "end": 2228.42, "word": " element", "probability": 0.5888671875}, {"start": 2228.42, "end": 2229.1, "word": " ناقص", "probability": 0.8922119140625}, {"start": 2229.1, "end": 2229.8, "word": " واحد", "probability": 0.96875}, {"start": 2229.8, "end": 2232.3, "word": " وواحد", "probability": 0.8196614583333334}, {"start": 2232.3, "end": 2233.14, "word": " such", "probability": 0.96435546875}, {"start": 2233.14, "end": 2234.0, "word": " that", "probability": 0.95947265625}, {"start": 2234.0, "end": 2235.5, "word": " اللي", "probability": 0.6708984375}, {"start": 2235.5, "end": 2235.78, "word": " هو", "probability": 0.97021484375}, {"start": 2235.78, "end": 2236.64, "word": " g", "probability": 0.7109375}, {"start": 2236.64, "end": 2236.9, "word": " of", "probability": 0.6748046875}, {"start": 2236.9, "end": 2237.14, "word": " c", "probability": 0.92529296875}, {"start": 2237.14, "end": 2237.38, "word": " او", "probability": 0.6824951171875}, {"start": 2237.38, "end": 2237.6, "word": " f", "probability": 0.86279296875}, {"start": 2237.6, "end": 2238.2, "word": " prime", "probability": 0.63720703125}, {"start": 2238.2, "end": 2238.52, "word": " of", "probability": 0.98388671875}, {"start": 2238.52, "end": 2239.2, "word": " c", "probability": 0.966796875}, {"start": 2239.2, "end": 2240.74, "word": " بيساوي", "probability": 0.76103515625}, {"start": 2240.74, "end": 2241.38, "word": " ايش", "probability": 0.6034342447916666}, {"start": 2241.38, "end": 2242.74, "word": " نص", "probability": 0.78955078125}, {"start": 2242.74, "end": 2244.44, "word": " صح؟", "probability": 0.9422200520833334}], "temperature": 1.0}, {"id": 90, "seek": 226371, "start": 2244.83, "end": 2263.71, "text": "Ie بمعنى آخر F prime of C اللي هو G of C بساوة نص Which is impossible Therefore our first assumption is not true", "tokens": [40, 68, 4724, 2304, 3615, 1863, 7578, 19753, 34740, 479, 5835, 295, 383, 13672, 1829, 31439, 460, 295, 383, 4724, 3794, 995, 2407, 3660, 8717, 9381, 3013, 307, 6243, 7504, 527, 700, 15302, 307, 406, 2074], "avg_logprob": -0.3435388384638606, "compression_ratio": 1.0555555555555556, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 2244.83, "end": 2245.97, "word": "Ie", "probability": 0.3343505859375}, {"start": 2245.97, "end": 2246.61, "word": " بمعنى", "probability": 0.90205078125}, {"start": 2246.61, "end": 2247.23, "word": " آخر", "probability": 0.900634765625}, {"start": 2247.23, "end": 2248.11, "word": " F", "probability": 0.432861328125}, {"start": 2248.11, "end": 2248.41, "word": " prime", "probability": 0.2003173828125}, {"start": 2248.41, "end": 2248.59, "word": " of", "probability": 0.95166015625}, {"start": 2248.59, "end": 2248.73, "word": " C", "probability": 0.7802734375}, {"start": 2248.73, "end": 2248.87, "word": " اللي", "probability": 0.52294921875}, {"start": 2248.87, "end": 2248.99, "word": " هو", "probability": 0.9814453125}, {"start": 2248.99, "end": 2249.29, "word": " G", "probability": 0.81689453125}, {"start": 2249.29, "end": 2249.71, "word": " of", "probability": 0.92626953125}, {"start": 2249.71, "end": 2250.25, "word": " C", "probability": 0.98828125}, {"start": 2250.25, "end": 2251.15, "word": " بساوة", "probability": 0.71796875}, {"start": 2251.15, "end": 2251.53, "word": " نص", "probability": 0.961181640625}, {"start": 2251.53, "end": 2252.37, "word": " Which", "probability": 0.23291015625}, {"start": 2252.37, "end": 2254.43, "word": " is", "probability": 0.939453125}, {"start": 2254.43, "end": 2256.49, "word": " impossible", "probability": 0.7734375}, {"start": 2256.49, "end": 2259.59, "word": " Therefore", "probability": 0.72509765625}, {"start": 2259.59, "end": 2261.27, "word": " our", "probability": 0.6123046875}, {"start": 2261.27, "end": 2261.81, "word": " first", "probability": 0.90478515625}, {"start": 2261.81, "end": 2262.39, "word": " assumption", "probability": 0.97314453125}, {"start": 2262.39, "end": 2262.89, "word": " is", "probability": 0.955078125}, {"start": 2262.89, "end": 2263.19, "word": " not", "probability": 0.95166015625}, {"start": 2263.19, "end": 2263.71, "word": " true", "probability": 0.9638671875}], "temperature": 1.0}, {"id": 91, "seek": 229436, "start": 2264.54, "end": 2294.36, "text": "that is there is no F من ناقص واحد لعند واحد .. من واحد ناقص واحد لواحد لعند ال R بحيث أن F' بيساوي G أو بمعنى أخر G is not a derivative of any function وهكذا نكون خلصنا ستة اتنين والمرة اللي جاي ان شاء الله بنكمل في ستة تلاتة ويوم الأحد القادم بنناقش ستة اتنين", "tokens": [6780, 307, 456, 307, 572, 479, 9154, 8717, 995, 4587, 9381, 36764, 24401, 5296, 3615, 41260, 36764, 24401, 4386, 9154, 36764, 24401, 8717, 995, 4587, 9381, 36764, 24401, 5296, 14407, 24401, 5296, 3615, 41260, 2423, 497, 4724, 5016, 1829, 12984, 14739, 479, 6, 4724, 1829, 3794, 995, 45865, 460, 34051, 4724, 2304, 3615, 1863, 7578, 5551, 34740, 460, 307, 406, 257, 13760, 295, 604, 2445, 4032, 3224, 4117, 15730, 8717, 30544, 16490, 1211, 9381, 8315, 8608, 2655, 3660, 1975, 2655, 1863, 9957, 4032, 45340, 25720, 13672, 1829, 10874, 47302, 16472, 13412, 16606, 21984, 44945, 24793, 1211, 8978, 8608, 2655, 3660, 6055, 1211, 9307, 3660, 4032, 1829, 20498, 16247, 24401, 25062, 18513, 2304, 44945, 8315, 4587, 8592, 8608, 2655, 3660, 1975, 2655, 1863, 9957], "avg_logprob": -0.24911795724784175, "compression_ratio": 1.6967213114754098, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 2264.54, "end": 2264.98, "word": "that", "probability": 0.28564453125}, {"start": 2264.98, "end": 2265.52, "word": " is", "probability": 0.95703125}, {"start": 2265.52, "end": 2266.2, "word": " there", "probability": 0.6484375}, {"start": 2266.2, "end": 2266.48, "word": " is", "probability": 0.958984375}, {"start": 2266.48, "end": 2267.04, "word": " no", "probability": 0.90234375}, {"start": 2267.04, "end": 2267.72, "word": " F", "probability": 0.37841796875}, {"start": 2267.72, "end": 2268.46, "word": " من", "probability": 0.88671875}, {"start": 2268.46, "end": 2268.92, "word": " ناقص", "probability": 0.763519287109375}, {"start": 2268.92, "end": 2269.26, "word": " واحد", "probability": 0.85546875}, {"start": 2269.26, "end": 2269.52, "word": " لعند", "probability": 0.7555338541666666}, {"start": 2269.52, "end": 2269.92, "word": " واحد", "probability": 0.6693115234375}, {"start": 2269.92, "end": 2270.0, "word": " ..", "probability": 0.2568359375}, {"start": 2270.0, "end": 2270.16, "word": " من", "probability": 0.74609375}, {"start": 2270.16, "end": 2270.34, "word": " واحد", "probability": 0.915283203125}, {"start": 2270.34, "end": 2270.54, "word": " ناقص", "probability": 0.773681640625}, {"start": 2270.54, "end": 2270.74, "word": " واحد", "probability": 0.989013671875}, {"start": 2270.74, "end": 2270.88, "word": " لواحد", "probability": 0.6378580729166666}, {"start": 2270.88, "end": 2271.14, "word": " لعند", "probability": 0.8995768229166666}, {"start": 2271.14, "end": 2271.32, "word": " ال", "probability": 0.90771484375}, {"start": 2271.32, "end": 2271.54, "word": " R", "probability": 0.560546875}, {"start": 2271.54, "end": 2272.18, "word": " بحيث", "probability": 0.770660400390625}, {"start": 2272.18, "end": 2272.3, "word": " أن", "probability": 0.54443359375}, {"start": 2272.3, "end": 2272.64, "word": " F'", "probability": 0.39306640625}, {"start": 2272.94, "end": 2273.38, "word": " بيساوي", "probability": 0.5843017578125}, {"start": 2273.38, "end": 2273.58, "word": " G", "probability": 0.79150390625}, {"start": 2273.58, "end": 2273.82, "word": " أو", "probability": 0.8115234375}, {"start": 2273.82, "end": 2274.16, "word": " بمعنى", "probability": 0.98837890625}, {"start": 2274.16, "end": 2274.52, "word": " أخر", "probability": 0.696533203125}, {"start": 2274.52, "end": 2274.96, "word": " G", "probability": 0.52294921875}, {"start": 2274.96, "end": 2275.76, "word": " is", "probability": 0.91552734375}, {"start": 2275.76, "end": 2276.28, "word": " not", "probability": 0.9580078125}, {"start": 2276.28, "end": 2276.76, "word": " a", "probability": 0.95654296875}, {"start": 2276.76, "end": 2277.28, "word": " derivative", "probability": 0.93212890625}, {"start": 2277.28, "end": 2277.64, "word": " of", "probability": 0.9736328125}, {"start": 2277.64, "end": 2278.04, "word": " any", "probability": 0.896484375}, {"start": 2278.04, "end": 2279.34, "word": " function", "probability": 0.96923828125}, {"start": 2279.34, "end": 2283.68, "word": " وهكذا", "probability": 0.69842529296875}, {"start": 2283.68, "end": 2283.94, "word": " نكون", "probability": 0.4031982421875}, {"start": 2283.94, "end": 2284.44, "word": " خلصنا", "probability": 0.96533203125}, {"start": 2284.44, "end": 2284.78, "word": " ستة", "probability": 0.7737630208333334}, {"start": 2284.78, "end": 2285.14, "word": " اتنين", "probability": 0.9022216796875}, {"start": 2285.14, "end": 2287.04, "word": " والمرة", "probability": 0.765380859375}, {"start": 2287.04, "end": 2287.18, "word": " اللي", "probability": 0.786865234375}, {"start": 2287.18, "end": 2287.3, "word": " جاي", "probability": 0.70947265625}, {"start": 2287.3, "end": 2287.42, "word": " ان", "probability": 0.66015625}, {"start": 2287.42, "end": 2287.6, "word": " شاء", "probability": 0.98046875}, {"start": 2287.6, "end": 2287.78, "word": " الله", "probability": 0.96142578125}, {"start": 2287.78, "end": 2288.4, "word": " بنكمل", "probability": 0.9212239583333334}, {"start": 2288.4, "end": 2288.48, "word": " في", "probability": 0.81494140625}, {"start": 2288.48, "end": 2288.76, "word": " ستة", "probability": 0.9685872395833334}, {"start": 2288.76, "end": 2289.34, "word": " تلاتة", "probability": 0.9222412109375}, {"start": 2289.34, "end": 2290.66, "word": " ويوم", "probability": 0.9615885416666666}, {"start": 2290.66, "end": 2291.86, "word": " الأحد", "probability": 0.96240234375}, {"start": 2291.86, "end": 2292.46, "word": " القادم", "probability": 0.994140625}, {"start": 2292.46, "end": 2293.46, "word": " بنناقش", "probability": 0.9775390625}, {"start": 2293.46, "end": 2293.98, "word": " ستة", "probability": 0.9694010416666666}, {"start": 2293.98, "end": 2294.36, "word": " اتنين", "probability": 0.9578857421875}], "temperature": 1.0}, {"id": 92, "seek": 229601, "start": 2295.13, "end": 2296.01, "text": "أسئلة 6", "tokens": [10721, 3794, 19986, 37977, 1386], "avg_logprob": -0.15462239583333334, "compression_ratio": 0.5714285714285714, "no_speech_prob": 0.0, "words": [{"start": 2295.13, "end": 2295.71, "word": "أسئلة", "probability": 0.9119873046875}, {"start": 2295.71, "end": 2296.01, "word": " 6", "probability": 0.70458984375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2296.9875625, "duration_after_vad": 2230.5493749999923}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/QjdD_6J2asI_postprocess.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/QjdD_6J2asI_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3859a3d5b467ef55335439d3120c0fe144871f13
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/QjdD_6J2asI_postprocess.srt
@@ -0,0 +1,1944 @@
+1
+00:00:04,960 --> 00:00:12,580
+بسم الله الرحمن الرحيم هذه المحاضرة رقم 16 في مساق
+
+2
+00:00:12,580 --> 00:00:18,080
+تحليل حقيقي 2 أو تحليل رياضي 2 لطلبة وطالبات كلية
+
+3
+00:00:18,080 --> 00:00:22,820
+العلوم بالجامعة الإسلامية بغزةكنا سميينها في
+
+4
+00:00:22,820 --> 00:00:29,160
+المحاضرة 15 إنها جزئين المحاضرة الجزء الأول ذكرناه
+
+5
+00:00:29,160 --> 00:00:31,820
+في المحاضرة 15 وقلنا الجزء الثاني هنذكره في
+
+6
+00:00:31,820 --> 00:00:35,780
+المحاضرة اللي بعدها كجزء ثاني من 15 بس الآن لطول
+
+7
+00:00:35,780 --> 00:00:40,440
+فترة اللي هي المحاضرة السابقةهنسمي هذا الجزء الآن
+
+8
+00:00:40,440 --> 00:00:43,060
+اللي هو كان اسمه الجزء الثاني المحاضرة 15 لأ بدي
+
+9
+00:00:43,060 --> 00:00:48,300
+أسميه هو المحاضرة رقم 16 وهو اللي هو بداية سيكشن
+
+10
+00:00:48,300 --> 00:00:52,020
+جديد اللي هو سبعة أربعة اللي هو the integration as
+
+11
+00:00:52,020 --> 00:00:56,260
+a limit اللي هو بدنا نصل ال integration عن طريق
+
+12
+00:00:56,260 --> 00:01:01,880
+اللي هو the limit of Riemann sumبس شغلة سريعة عشان
+
+13
+00:01:01,880 --> 00:01:05,820
+نربط بالسابق باللاحق بالحاضر عشان نفهم إيش اللي
+
+14
+00:01:05,820 --> 00:01:10,780
+بنحكي فيه إحنا إذا بتتظهرتتذكر واخدنا على الفترة A
+
+15
+00:01:10,780 --> 00:01:17,200
+وB وعملنا لها تجزئة P بساوية X Note X واحد لعند ال
+
+16
+00:01:17,200 --> 00:01:25,000
+XN وعرفنا اللي هو ال Upper sum اللي هو Upper اللي
+
+17
+00:01:25,000 --> 00:01:31,900
+هي L وP L لو function عندي F فعندي F of X على
+
+18
+00:01:31,900 --> 00:01:39,160
+الفترة من A لعند B اللي هو ال UpperF of B وقلنا هو
+
+19
+00:01:39,160 --> 00:01:44,780
+عبارة عن summation لل M K في X K minus X K minus
+
+20
+00:01:44,780 --> 00:01:51,060
+واحد زي ما انتم الذاكرين K من عند واحد لعند N هذا
+
+21
+00:01:51,060 --> 00:01:54,900
+اللي هو اللي سمناه ال other sum ال M K طبعا هي ال
+
+22
+00:01:54,900 --> 00:01:57,600
+.. زي ما انتم عارفين ال supremum على الفترة .. ال
+
+23
+00:01:57,600 --> 00:02:01,040
+supremum لدال ال F ال supremum لدال ال F على
+
+24
+00:02:01,040 --> 00:02:06,340
+الفترة اللي أماميوعندي ال L F of P أو P و F زي ما
+
+25
+00:02:06,340 --> 00:02:10,300
+احنا بنكتبها عبارة عن summation ال M K في X K
+
+26
+00:02:10,300 --> 00:02:14,680
+minus X K minus واحد K من عند واحد لعندنا وقلنا لو
+
+27
+00:02:14,680 --> 00:02:19,380
+اتينا ال other sum أخدناله اللي هو ال infimum ال
+
+28
+00:02:19,380 --> 00:02:24,370
+other sum وقلنا أخدناله ال infimumبنسميه U of F
+
+29
+00:02:24,370 --> 00:02:29,070
+اللي هو عبارة عن الـ infimum لـ U of F و B such
+
+30
+00:02:29,070 --> 00:02:32,370
+that B element in the set of all partition B of I
+
+31
+00:02:32,370 --> 00:02:36,630
+و أخدنا ال L of F و قلنا هو عبارة عن ال supremum
+
+32
+00:02:36,630 --> 00:02:41,300
+لـ L of F و Bhighest B element in the set of all
+
+33
+00:02:41,300 --> 00:02:46,780
+partitions B of I قلنا إن F هتكون integrable إذا
+
+34
+00:02:46,780 --> 00:02:50,460
+اللي هو ال lower integral بساومين ال upper
+
+35
+00:02:50,460 --> 00:02:55,580
+integral هذا المدخل اللي دخلنا فيه لإثبات أو
+
+36
+00:02:55,580 --> 00:03:00,220
+لتعريف إن F is integrable مدخل اللي هو ال upper
+
+37
+00:03:00,220 --> 00:03:03,650
+sum والlower sumأو الـ Upper Integral والـ Lower
+
+38
+00:03:03,650 --> 00:03:07,470
+Integral يوم ما يتساون بنسميه الـ Integral اللي هو
+
+39
+00:03:07,470 --> 00:03:10,670
+عبارة عن قيمة الـ Integration للـ F على الفترة A
+
+40
+00:03:10,670 --> 00:03:17,640
+وBالان ايش اللي هنسويه اللي هو الجزء الثاني من
+
+41
+00:03:17,640 --> 00:03:21,300
+المحاضرة
+
+42
+00:03:21,300 --> 00:03:24,300
+او اللي احنا سمينا المحاضرة 16 اللي هو في ال
+
+43
+00:03:24,300 --> 00:03:29,840
+section 7-4 هندخل لل integration بداخلة أخرى عن
+
+44
+00:03:29,840 --> 00:03:35,280
+طريق حاجة اسمها ال remansum ومن ثم نقول نثبت في
+
+45
+00:03:35,280 --> 00:03:40,000
+النهاية انه limit ال remansum لما يكون موجودبكون
+
+46
+00:03:40,000 --> 00:03:45,480
+هو الـ Integration وهذا مكافئ أو يحدث if and only
+
+47
+00:03:45,480 --> 00:03:50,580
+if إذا حدثت اللي هو معنى التكامل بصيغة ال Upper
+
+48
+00:03:50,580 --> 00:03:54,420
+Sum والLower Sum يعني الآن .. الآن في عندنا مدخلين
+
+49
+00:03:54,420 --> 00:03:57,660
+للدخول للتكامل إما عن طريق ال Upper Sum والLower
+
+50
+00:03:57,660 --> 00:04:00,560
+Sum أو ال Upper Integral والLower Integral أو عن
+
+51
+00:04:00,560 --> 00:04:04,200
+طريق اللي هو ال Remain Sum أو اللي هو ال limit
+
+52
+00:04:04,200 --> 00:04:09,000
+للRemain Sumوالتنين لما نكون كل واحد ذاك ال ..
+
+53
+00:04:09,000 --> 00:04:12,740
+الملهمته موجود و هذا ال upper بساوي ال lower بكون
+
+54
+00:04:12,740 --> 00:04:19,500
+ال R equivalent إيه الآن؟ إيش ال .. ال roman sum؟
+
+55
+00:04:19,500 --> 00:04:24,200
+احنا برضه التجزية جاءت تجزية هاي P بساوي X note و
+
+56
+00:04:24,200 --> 00:04:29,280
+X واحد لعند ال XN هاي التجزية هاي X note و هاي X
+
+57
+00:04:29,280 --> 00:04:32,700
+واحد وهي الفترة الموضاجية XK minus واحد لعند ال XK
+
+58
+00:04:33,370 --> 00:04:40,570
+الان الـ Riemann Sum بنختار في الـ Intervals نقطة
+
+59
+00:04:40,570 --> 00:04:45,830
+عشوائية لا تقول لي لا أكبر واحدة ولا أصغر واحدة
+
+60
+00:04:45,830 --> 00:04:49,150
+ولا كذا لأ نقطة عشوائية وبنسميها مثلا لو قلت لك
+
+61
+00:04:49,150 --> 00:04:54,970
+الهن بسميها XIK الان XIK هذه صارت element في الـ
+
+62
+00:04:54,970 --> 00:05:02,000
+XK-1 والـ xk الآن بدي بضرب ال x اللي اللي هي طول
+
+63
+00:05:02,000 --> 00:05:05,140
+الفترة زي ما ضربتها زي ما وجدت ال sum اللي هو ال
+
+64
+00:05:05,140 --> 00:05:09,020
+upper sum هنا بوجد هنا بس بستبدل ال mk و ال mk
+
+65
+00:05:09,020 --> 00:05:13,380
+small و upper بستبدلها بقيمة ال function عند هذه
+
+66
+00:05:13,380 --> 00:05:18,270
+النقطة العشوائية اللي اخترتهااللي هي بيسميها xik
+
+67
+00:05:18,270 --> 00:05:24,190
+فبصير xk minus xk minus 1 في ال F عند xik و باخده
+
+68
+00:05:24,190 --> 00:05:28,290
+ال summation k من عند 1 لعند n و هذا اللي بيسميه
+
+69
+00:05:28,290 --> 00:05:36,030
+الرمان صم S of B أو مين و F S of B أو F و هذا اللي
+
+70
+00:05:36,030 --> 00:05:43,470
+بيسميه الرمان صم في النهاية هنصلكم أنه لو كان ال
+
+71
+00:05:43,470 --> 00:05:49,710
+limitللـ S, P و F as الـ N goes to infinity يعني
+
+72
+00:05:49,710 --> 00:05:53,630
+الـ N اللي هي زغرنا الفترة صارتها الجدّة و زغرنا
+
+73
+00:05:53,630 --> 00:05:57,090
+صارتها الفترة .. لما تكون N تروح إلى نهاية معناته
+
+74
+00:05:57,090 --> 00:05:59,590
+أن صارت اللي .. اللي هي و كأنه الفترات عبارة عن
+
+75
+00:05:59,590 --> 00:06:05,130
+خطوط جنب بعض هذه الخطوط بتنطبق الـ XK و XK-1 و XIK
+
+76
+00:06:05,130 --> 00:06:10,950
+على بعض و كأنه بتسير كل خط جنب خط جنب خط إلى قيمة
+
+77
+00:06:10,950 --> 00:06:14,640
+اللي هو مجموع هذه الخطوط زي ما حكينا قبل هيكاللي
+
+78
+00:06:14,640 --> 00:06:18,820
+بتعمل المساحة تحت المنحنى في حالة الموجب ومن ثم هي
+
+79
+00:06:18,820 --> 00:06:21,740
+هتعمل لي قيمة ال integration يعني لما يكون ال
+
+80
+00:06:21,740 --> 00:06:24,420
+limit لـRiemann sum as N goes to infinity exist
+
+81
+00:06:24,420 --> 00:06:29,380
+وسوّت لي رقم اسمه إيه هذا الرقم هو عبارة عن ال
+
+82
+00:06:29,380 --> 00:06:33,900
+integration إيه لـ BF of X DX على هذه الفترة هذا
+
+83
+00:06:33,900 --> 00:06:38,400
+اللي في النهاية بدنا نصل إليه أو نوصلكم إنه في
+
+84
+00:06:38,400 --> 00:06:42,680
+حالة وجود هذا ال limit هيكون هو ال integration
+
+85
+00:06:42,680 --> 00:06:47,040
+اللي بمفهوم ال upper sum والlower sum يعني
+
+86
+00:06:47,040 --> 00:06:53,160
+الدخلتين بقد إلى نفس القيمة أو إلى نفس النتيجة
+
+87
+00:06:54,950 --> 00:06:59,130
+يعني في بعض الكتب بتعرفلك أصلا اللي هو ال
+
+88
+00:06:59,130 --> 00:07:04,430
+integration as a limit of remansum في كتب و هذا
+
+89
+00:07:04,430 --> 00:07:09,650
+غالبا في ال calculus بيشتغلوه و في كتب بتعرفه عن
+
+90
+00:07:09,650 --> 00:07:12,230
+طريق ال other sum و لا other sum في ال calculus
+
+91
+00:07:12,230 --> 00:07:15,930
+لأنه ملزمش ل Supremum و ل Infimum لإن الطالب مفهم
+
+92
+00:07:15,930 --> 00:07:20,370
+ال Supremum ومفهم ال Infimum عنده اللي هو ناضج
+
+93
+00:07:24,160 --> 00:07:29,980
+بعد هذه المقدمة عن الموضوع خلّينا ندخل إلىه بشكل
+
+94
+00:07:29,980 --> 00:07:34,700
+تفصيلي The integration as a limit لت I اللي هي ال
+
+95
+00:07:34,700 --> 00:07:36,820
+interval اللي انا بده اشتغل عليها و ال function
+
+96
+00:07:36,820 --> 00:07:40,260
+أفنان I لR عبارة عن bounded function و خدنا ال B
+
+97
+00:07:40,260 --> 00:07:44,440
+هو ال partition اللي أخدناه و زي ما قلنا إذا أخدنا
+
+98
+00:07:44,440 --> 00:07:50,470
+XI 1 و XI 2 و XI N عبارة عن arbitrary numbersاللي
+
+99
+00:07:50,470 --> 00:07:53,330
+هو الـ x i 1 في ال .. في ال .. في ال interval x
+
+100
+00:07:53,330 --> 00:07:57,270
+not x 1 x i 2 في ال interval اللي .. اللي بعدها
+
+101
+00:07:57,270 --> 00:08:00,810
+ايه اخره يعني ال x i k هي في ال .. الفترة النموذج
+
+102
+00:08:00,810 --> 00:08:06,130
+الذادية x k minus 1 x k ل k من 1 لعند مين لعند ان
+
+103
+00:08:06,130 --> 00:08:08,570
+ال sum اللي قولنا عنه اللي هو عبارة عن ال
+
+104
+00:08:08,570 --> 00:08:12,530
+summation لل F of x i k مضروب في x k ناقص x k
+
+105
+00:08:12,530 --> 00:08:17,110
+minus 1 هذا ال summation من 1 لعند ان هم هو برمزه
+
+106
+00:08:17,110 --> 00:08:21,030
+للرمز SPUF اللي هو بسميهاللي هو عبارة عن the
+
+107
+00:08:21,030 --> 00:08:25,810
+remand sum الريمان صم الريمان صم الريمان صم
+
+108
+00:08:25,810 --> 00:08:30,150
+الريمان صم الريمان صم الريمان صم الريمان صم
+
+109
+00:08:30,150 --> 00:08:31,170
+الريمان صم الريمان صم الريمان صم الريمان صم
+
+110
+00:08:31,170 --> 00:08:32,670
+الريمان صم الريمان صم الريمان صم الريمان صم
+
+111
+00:08:32,670 --> 00:08:33,050
+الريمان صم الريمان صم الريمان صم الريمان صم
+
+112
+00:08:33,050 --> 00:08:33,610
+الريمان صم الريمان صم الريمان صم الريمان صم
+
+113
+00:08:33,610 --> 00:08:34,330
+الريمان صم الريمان صم الريمان صم الريمان صم
+
+114
+00:08:34,330 --> 00:08:36,290
+الريمان صم الريمان صم الريمان صم الريمان صم
+
+115
+00:08:36,290 --> 00:08:43,690
+الريمان صم الريمان صم الريمان صم الريمان صم الري
+
+116
+00:08:43,710 --> 00:08:48,550
+لأن الـ F of XI K اللي هي النقطة العشوائية هذه
+
+117
+00:08:48,550 --> 00:08:53,190
+أكيد أصغر أو يساوي الـ inf mum على كل النقاط اللي
+
+118
+00:08:53,190 --> 00:08:57,710
+في ال sub interval هذه و أكبر أو يساوي و أصغر أو
+
+119
+00:08:57,710 --> 00:09:01,730
+يساوي من ال super mum يعني F of XI K هذه نقطة
+
+120
+00:09:01,730 --> 00:09:05,490
+عشوائية أكبر أو يساوي أصغر واحدة أو أصغر اللي هو
+
+121
+00:09:05,490 --> 00:09:10,070
+ال inf mum و أصغر أو يساوي اللي هي من ال super mum
+
+122
+00:09:10,610 --> 00:09:13,890
+هذا لكل مين لكل sub interval يعني هي sub interval
+
+123
+00:09:13,890 --> 00:09:20,810
+xk minus واحد وهي xk وهي xik أكيد اللي هو f of xik
+
+124
+00:09:20,810 --> 00:09:29,210
+هنا أصغر أو يساوي أكبر واحدة وأصغر أو يساوي أكبر
+
+125
+00:09:29,210 --> 00:09:34,020
+واحدة وأكبر أو يساوي أصغر واحدةاللي هي الـ MK
+
+126
+00:09:34,020 --> 00:09:38,580
+فبكون
+
+127
+00:09:38,580 --> 00:09:43,360
+دايما هي هذه دي و هذه دي و هذه دي خدوا الآن ضربولي
+
+128
+00:09:43,360 --> 00:09:47,680
+هنا وهنا وهنا ضربولي في XK-XK-Y حط طول الفترة
+
+129
+00:09:48,770 --> 00:09:52,070
+واخدوا الـ summation من عند واحد لعند أن بيصير هذا
+
+130
+00:09:52,070 --> 00:09:55,670
+بيمثل لي اللي هو الأبر صم وهذا بيمثل لي الأور صم
+
+131
+00:09:55,670 --> 00:10:00,070
+وهذا بيمثل لي مين؟ الريمان صم إذن الريمان صم دائما
+
+132
+00:10:00,070 --> 00:10:05,250
+بين الأبر وبين الأور لأوله أصلا نحن ليش بيسميهم
+
+133
+00:10:05,250 --> 00:10:10,210
+أبر و لاور عسى إن كل اللي غيرهم الأبر كل اللي
+
+134
+00:10:10,210 --> 00:10:14,350
+غيرهم أصغر يسويهم وكل اللي غيرهم الأور أكبر منهم
+
+135
+00:10:14,350 --> 00:10:21,060
+أو يسويهم التسمية جزء من المفهومأو تستقر من
+
+136
+00:10:21,060 --> 00:10:27,020
+المفهوم يعني بنسميها مش معقول هي أبر ونسميها لابر
+
+137
+00:10:27,020 --> 00:10:32,520
+أو أبر ونسميها اسم يخالف الأبر فأكيد اخترنا اسم
+
+138
+00:10:32,520 --> 00:10:37,660
+الأبر عشان هي فعلا أبرطيب نجي الى النظرية الأولى
+
+139
+00:10:37,660 --> 00:10:43,520
+let a و b عبارة عن فترة مغلقة و bounded و let f من
+
+140
+00:10:43,520 --> 00:10:46,960
+I ل R be integrable on I نفترض ان اف اذا احنا لما
+
+141
+00:10:46,960 --> 00:10:49,880
+نحكي integrable معناته integrable in the sense of
+
+142
+00:10:49,880 --> 00:10:53,340
+definition 716 اللي هو اللي بعتمد على ال U of F
+
+143
+00:10:53,340 --> 00:10:58,080
+بتساوي ال O of Fالان let F من I ل R بيه Integrable
+
+144
+00:10:58,080 --> 00:11:01,940
+I زي ما بأكد in the sense of definition 716 اللي
+
+145
+00:11:01,940 --> 00:11:09,070
+حكيته إذا لكل ي أكبر من سفر is givenThere exists a
+
+146
+00:11:09,070 --> 00:11:11,470
+partition by بي إبسلون such that if بي is any
+
+147
+00:11:11,470 --> 00:11:15,610
+partition that is a refinement of بي إبسلون and if
+
+148
+00:11:15,610 --> 00:11:19,930
+أس بي و أف is any remaining sum for أف then هيكون
+
+149
+00:11:19,930 --> 00:11:24,110
+عنده اللي هو أس بي و أف ناقص ال integration لأف
+
+150
+00:11:24,110 --> 00:11:29,210
+أصغر من مين من إبسلون بقول باختصار يعني لو فرضنا
+
+151
+00:11:29,210 --> 00:11:34,490
+أف integrable اللي هنخد لأي إبسلون في الدنيا بقدر
+
+152
+00:11:34,490 --> 00:11:40,550
+أجيلك partition بي إبسلونبحيث انه اي بي بارتيشن
+
+153
+00:11:40,550 --> 00:11:45,390
+refinement لبيبسلون refinement معناته البي بحتوى
+
+154
+00:11:45,390 --> 00:11:50,910
+مين البيبسلون تحسينله هيكون عندي ال remain sum S
+
+155
+00:11:50,910 --> 00:11:55,150
+بي و F هذا ناقص integration للف أصغر من مين؟ من
+
+156
+00:11:55,150 --> 00:12:04,090
+ابسلون يعني الآن F is integrable يا جماعةالأن for
+
+157
+00:12:04,090 --> 00:12:08,070
+every epsilon أكبر من 0 there exist بي ابسلون such
+
+158
+00:12:08,070 --> 00:12:12,490
+that for every بي تحتوي بي ابسلون اللي هو هذا اللي
+
+159
+00:12:12,490 --> 00:12:20,110
+جيته and for every man some أس للبي والأفهيكون
+
+160
+00:12:20,110 --> 00:12:25,410
+عندي الـ absolute value بين الـ S بي و F ناقص اللي
+
+161
+00:12:25,410 --> 00:12:31,890
+هو ال integration من A ل B لل F أصغر من 100 منافسة
+
+162
+00:12:31,890 --> 00:12:35,790
+يعني جاعت بقول أخي يعني أصلا يعنيأني هذا في الآخر
+
+163
+00:12:35,790 --> 00:12:39,910
+في الآخر في الآخر في الآخر هتلاقي الريمان صم اللي
+
+164
+00:12:39,910 --> 00:12:43,890
+هو يكون بينه و بين ال F إيش ما له أصغر من إبسلون
+
+165
+00:12:43,890 --> 00:12:47,870
+لما تكون ال إيش ال F اللي هي Integral يعني بلاقي
+
+166
+00:12:47,870 --> 00:12:52,890
+بي إبسلون بضمنك هذا الكلام بضمنك مش ال بي إبسلون
+
+167
+00:12:52,890 --> 00:12:58,550
+بس و كل ال refinement يعني كل ال refinement يعني
+
+168
+00:12:58,550 --> 00:13:05,310
+كل ما نزيد عدد عناصر ال partitionيعني كل ما نكبر
+
+169
+00:13:05,310 --> 00:13:09,810
+الان يعني و كأنه بقودنا لللي بدنا نحكيه قدام انه
+
+170
+00:13:09,810 --> 00:13:15,770
+لما الان تروح لمالة نهاية limit ال remand sum إذا
+
+171
+00:13:15,770 --> 00:13:18,950
+كانت موجودة integrable هيساوي ال integration
+
+172
+00:13:18,950 --> 00:13:23,870
+والعكس هنلاقيه صحيح برضه هيسيه definition طيب في
+
+173
+00:13:23,870 --> 00:13:26,870
+بعض الكتب زي ما قلنا او لو بدنا نسميه definition
+
+174
+00:13:26,870 --> 00:13:29,950
+بنقول equivalent ل definition الأولاني و طبعا
+
+175
+00:13:29,950 --> 00:13:37,040
+هنلاقينا حالة بتتواصلنرجع لنظريتنا نثبتهالأن if F
+
+176
+00:13:37,040 --> 00:13:40,820
+is integrable and Y أكبر من 0 then by Riemann
+
+177
+00:13:40,820 --> 00:13:45,200
+criterion there exists B Epsilon of I such that U
+
+178
+00:13:45,200 --> 00:13:48,980
+ناقص L أصغر من مين من Y هذا أحفظناها زي اسمنا مدام
+
+179
+00:13:48,980 --> 00:13:53,000
+F is integrable and then by Riemann criterion طبعا
+
+180
+00:13:53,000 --> 00:13:55,620
+أكيد هتيجي ع بالكم لأنه مدام قال there exists B
+
+181
+00:13:55,620 --> 00:13:59,120
+Epsilon هكيد أقول أكيد احنا هنستخدم مين اللي بتجيب
+
+182
+00:13:59,120 --> 00:14:01,720
+ال B Epsilon مين اللي كانت تجيب ال B Epsilon اللي
+
+183
+00:14:01,720 --> 00:14:04,870
+هي ال Riemann criterionإذا كان الـ F مستعمل و الـ
+
+184
+00:14:04,870 --> 00:14:07,790
+F أكبر من 0 فبالتالي باستخدام الـ Riemann's
+
+185
+00:14:07,790 --> 00:14:11,850
+criterion يوجد مجموعة بي أبسلون of I مثلًا الـ U
+
+186
+00:14:11,850 --> 00:14:14,950
+بي أبسلون و الـ F نقص الـ بي أبسلون و الـ F أشماله
+
+187
+00:14:14,950 --> 00:14:23,290
+أصغر من مين من أبسلون الآن اخدوا أي refinement بيه
+
+188
+00:14:23,290 --> 00:14:28,590
+بحتوى مين الـ بي أبسلون الـ refinement التحسين
+
+189
+00:14:28,590 --> 00:14:37,240
+اللاور بزيدوال أبر بجل اكيد عارفين ان هذا الكلام
+
+190
+00:14:37,240 --> 00:14:41,220
+اذا صار عند مدام اللي هو ال refinement ال lower
+
+191
+00:14:41,220 --> 00:14:46,940
+بزيد اكيد ال LBUF أصغر بيساوي LBUF اللي هو التحسين
+
+192
+00:14:46,940 --> 00:14:54,760
+و LBUF دايما اصغر بيساوي UBF و ال UBF التحسين بجل
+
+193
+00:14:54,760 --> 00:14:59,800
+عن ال UBEF اذا هذه ال inequality محفوظة عندنا ماشي
+
+194
+00:14:59,800 --> 00:15:08,270
+الحال الآنمن هنا ذولة صارت عندي high ال L بي
+
+195
+00:15:08,270 --> 00:15:15,090
+إبسلون و أف high ال L بي و أف لأنه أكبر high ال U
+
+196
+00:15:15,090 --> 00:15:22,630
+بي و أف high ال U بي إبسلون و أف أكيد أكيد أكيد
+
+197
+00:15:22,630 --> 00:15:27,570
+المسافة بين هذه و هذهأصغر المسافة بين هذه و هذه
+
+198
+00:15:27,570 --> 00:15:33,170
+يعني بمعنى آخر ال UBF ناقص ال LBF المسافة بينهم
+
+199
+00:15:33,170 --> 00:15:39,130
+أصغر أو يساوي ال UBY و ال LBY من هذه و هذه من اللي
+
+200
+00:15:39,130 --> 00:15:43,990
+فوق أشمالها أصغر من Y إذا صارت عندي ال U صار عندي
+
+201
+00:15:43,990 --> 00:15:50,210
+ال UBF ناقص ال BF أصغر من مين؟ من Y صار عندي ال U
+
+202
+00:15:51,040 --> 00:16:01,320
+بأف ناقص ال بأف أصغر من إبسلون لكل بي يحتوي من ال
+
+203
+00:16:01,320 --> 00:16:04,120
+بي إبسلون لكل refinement لمين للبي إبسلون اللي
+
+204
+00:16:04,120 --> 00:16:08,280
+لجناه بوسط الريمان ال criterion خلّينا نكمل يا
+
+205
+00:16:08,280 --> 00:16:19,320
+جماعة الآن لكن احنا بنعرف ان اي ريمان صم لبي معينة
+
+206
+00:16:19,510 --> 00:16:24,830
+هيكون بين الـ L و بين الـ P أكيد صح ولا لأ؟ طبعا
+
+207
+00:16:24,830 --> 00:16:28,910
+الـ S بين الـ P و الـ F اللي قلناها قبل شوية بين
+
+208
+00:16:28,910 --> 00:16:34,570
+الـ L P و F و الـ U P و Fطيب خد ال integration ال
+
+209
+00:16:34,570 --> 00:16:36,970
+integration ما هو ال F is integrable مزام
+
+210
+00:16:36,970 --> 00:16:41,330
+Integrable إذا هي بتساوي زي ما عملناها كتير بساوي
+
+211
+00:16:41,330 --> 00:16:45,430
+ال U في F و بتساوي ال L في F ال L في F هي ال
+
+212
+00:16:45,430 --> 00:16:48,070
+supremum لهذه الأشياء إذا أكيد هذا أكبر يساوي ال
+
+213
+00:16:48,070 --> 00:16:52,410
+lower اللي هي sum هذاوالـ Integration بيساوي الـ U
+
+214
+00:16:52,410 --> 00:16:56,370
+و F و الـ U و F هو عبارة عن الـ M في مهم للـ U و B
+
+215
+00:16:56,370 --> 00:16:59,230
+و F إذا نحن نكون أصغر أو يساوي إذا فعلا ال
+
+216
+00:16:59,230 --> 00:17:04,610
+integration بين ال lower sum و بين ال upper sum و
+
+217
+00:17:04,610 --> 00:17:09,560
+هذه الفكرة عملناها كتير قبل هاتإذا L هو أطرح هذه
+
+218
+00:17:09,560 --> 00:17:15,560
+من هذه تنتهي من بعض بيصير عند ال S ناقص هذه بين ال
+
+219
+00:17:15,560 --> 00:17:20,600
+L ناقص ال U و بين ال U ناقص ال L عملناها كتير طرح
+
+220
+00:17:20,600 --> 00:17:24,440
+معادلتين من بعض الآن هي ال U و ال U و هي ال L و هي
+
+221
+00:17:24,440 --> 00:17:26,660
+ال L و ضرب واحدة في ناقص اللي بدنا نطرح هذه في
+
+222
+00:17:26,660 --> 00:17:31,220
+ناقص تنعكس الأشارات تجمح لبعض و تطلع هذه أصغر أو
+
+223
+00:17:31,220 --> 00:17:36,920
+ساوي هذه و أصغر أو ساوي هذهالأن هذه يعني هذه اللي
+
+224
+00:17:36,920 --> 00:17:41,040
+هو بتساوي سالب هذه يعني صارت ال absolute value
+
+225
+00:17:41,040 --> 00:17:44,260
+أصغر أو يساوي اللي هو المقدار الموجود في هذا
+
+226
+00:17:44,260 --> 00:17:48,220
+والمقدار الموجود في هذا أصغر من وين؟ هنا لقنا أصغر
+
+227
+00:17:48,220 --> 00:17:51,800
+من إياش من إبسلون يعني صار عند ال S بي و F ناقص من
+
+228
+00:17:51,800 --> 00:17:58,860
+ال F أصغر من مين من إبسلون وهو المطلوب نجي للنظرية
+
+229
+00:17:58,860 --> 00:17:59,300
+الباعتها
+
+230
+00:18:09,320 --> 00:18:15,260
+النظرية تلاتة أربعة .. سبعة أربعة تلاتة نشوف ..
+
+231
+00:18:15,260 --> 00:18:21,920
+نتبه لنص النظرية و من ثم نيجي إلى اللي هو البرهان
+
+232
+00:18:21,920 --> 00:18:27,380
+إذا من ال .. من النظرية اللي قبله شوية لكل إبسلون
+
+233
+00:18:27,380 --> 00:18:32,760
+أكبر من سفر لجينا بي إبسلون such that for every بي
+
+234
+00:18:32,760 --> 00:18:38,220
+يحتوي البي إبسلون أو .. و لكل اللي هو أس بي و أف
+
+235
+00:18:38,980 --> 00:18:43,700
+اللي هو corresponding to this partition بديكون S P
+
+236
+00:18:43,700 --> 00:18:49,000
+و F ناقص ال integration من هنا ل P لل F أصغر من P
+
+237
+00:18:49,000 --> 00:18:53,480
+ل Y وهذا في حال أن F is integrable هذا عنوان اللي
+
+238
+00:18:53,480 --> 00:18:57,220
+هو اللي هي النظرية اللي قبل بشوية لإنه بتحتاجها
+
+239
+00:18:57,220 --> 00:19:03,130
+بعد شوية طيب شوف الآن إيش النظرية هذي بتقولخلّيت
+
+240
+00:19:03,130 --> 00:19:05,870
+أفضل about the closed interval A وB اللي هي I اللي
+
+241
+00:19:05,870 --> 00:19:09,110
+عند ال R بـA bounded function Suppose that there
+
+242
+00:19:09,110 --> 00:19:19,130
+exists a number A يحقق الخاصية التالية يحقق
+
+243
+00:19:19,130 --> 00:19:21,390
+الخاصية التالية
+
+244
+00:19:30,260 --> 00:19:34,660
+نفترض أن يوجد A بحيث أنه لايه إبسلون أكبر من 0
+
+245
+00:19:34,660 --> 00:19:40,140
+بنلاقي partition بي إبسلون و FB يحتوى بي إبسلون
+
+246
+00:19:40,140 --> 00:19:45,100
+and F SB is any remand sum for F corresponding to
+
+247
+00:19:45,100 --> 00:19:52,100
+B تئذن ال S بي و F ناقص A أصغر من مين من إبسلون
+
+248
+00:19:54,770 --> 00:20:02,070
+لو لاجينا .. انا افترض ان احنا بنلاقي الـ Number A
+
+249
+00:20:02,070 --> 00:20:07,190
+هذا معطى انه Number A، ايش بتمتح هذا Number A؟ انه
+
+250
+00:20:07,190 --> 00:20:12,190
+لما يكون عندك لكل ي أكبر من سفر لجهة partition بيه
+
+251
+00:20:12,190 --> 00:20:15,290
+يبسلون بحيث انه لكل refinement بيه تحتوى بيه
+
+252
+00:20:15,290 --> 00:20:19,870
+يبسلون و ال S, B و F is any remand sum
+
+253
+00:20:22,380 --> 00:20:24,760
+يجب أن يكون الـ a أصغر من إبسلون لأس و ال b و ال f
+
+254
+00:20:24,760 --> 00:20:31,980
+نقص من إبسلون لأس و ال b و ال f نقص من إبسلون لأس
+
+255
+00:20:31,980 --> 00:20:32,420
+و ال b و ال f نقص من إبسلون لأس و ال b و ال f نقص
+
+256
+00:20:32,420 --> 00:20:32,460
+من إبسلون لأس و ال b و ال f نقص من إبسلون لأس و ال
+
+257
+00:20:32,460 --> 00:20:34,200
+و ال f نقص من إبسلون لأس و ال b و ال f نقص من
+
+258
+00:20:34,200 --> 00:20:37,640
+إبسلون لأس و ال b و ال f نقص من إبسلون لأس و ال b
+
+259
+00:20:37,640 --> 00:20:42,860
+ولكل ي أكبر من 0 بلاقي بي إبسلون بحيث أنه لما ال
+
+260
+00:20:42,860 --> 00:20:46,780
+بي يحتوي ال بي إبسلون ويكون اللي هو ال أس بي و ال
+
+261
+00:20:46,780 --> 00:20:50,800
+أف ناقص ا أصغر من إبسلون بقول then أف اي شمالها
+
+262
+00:20:50,800 --> 00:20:56,020
+must be integrable in I in the sense طبعاً في 716
+
+263
+00:20:56,020 --> 00:21:00,500
+و ال a هو من هذا ال integration يعني بقولنا لو
+
+264
+00:21:00,500 --> 00:21:05,360
+لجينا a بتحقق هذا الكلام هتطلعلكم ال a يا جماعة
+
+265
+00:21:05,360 --> 00:21:10,070
+هذا هي ال integrationهي قيمة الـ integration الـ
+
+266
+00:21:10,070 --> 00:21:12,630
+integration in the sense of الـ definition اللي
+
+267
+00:21:12,630 --> 00:21:17,730
+حكينا عليه طيب شوف الآن الان
+
+268
+00:21:17,730 --> 00:21:22,410
+بدي أعطيك شغل عامة وبعدها نخصصها على اللي بدناياه
+
+269
+00:21:22,410 --> 00:21:26,370
+الان give an epsilon أكبر من سفر and be any fixed
+
+270
+00:21:26,370 --> 00:21:31,250
+partition of I ماشي الحال الان خد أي إبسلون وخد بي
+
+271
+00:21:31,250 --> 00:21:37,020
+أي شمله أي fixed partition thenThere exist S1
+
+272
+00:21:37,020 --> 00:21:41,800
+بيوقف و S2 بيوقف بحيث أن S U بيوقف نقص S بيوقف
+
+273
+00:21:41,800 --> 00:21:46,800
+أصغر من مين من إبسلون و S2 نقص ال أصغر من مين من
+
+274
+00:21:46,800 --> 00:21:57,260
+إبسلون شوف هذه خلّينا نشوف كيف عملها هيا أخدنا
+
+275
+00:21:57,260 --> 00:22:02,580
+أي إبسلون في الدنيا و بأي partition الآن بقول لي
+
+276
+00:22:04,500 --> 00:22:11,460
+صار عندى S P و F صار عندى اسف البارتيشن اللى هو P
+
+277
+00:22:11,460 --> 00:22:17,260
+موجود والإبسلون موجود بانفكس بارتيشن مش بارتيشن
+
+278
+00:22:17,260 --> 00:22:21,320
+معين لأ انفكس بارتيشن الكلام ده بظبط عليه بقول
+
+279
+00:22:21,320 --> 00:22:32,410
+بقدر ألاقي remansum S واحد مسمى P و F بحيث أنه SU
+
+280
+00:22:32,410 --> 00:22:44,070
+B و F ناقص S1 B و F يكون أصغر من مين من Y المنطقي
+
+281
+00:22:44,070 --> 00:22:49,980
+الكلام هذا الأبرهو اعطاني الـ Epsilon جالي اثبت
+
+282
+00:22:49,980 --> 00:22:54,980
+انه بتلاقي S1 Remains sum بحيث ان الفرق بينه وبين
+
+283
+00:22:54,980 --> 00:22:57,340
+ال A بر لل B والF ال partition هذا partition معين
+
+284
+00:22:57,340 --> 00:23:01,680
+بحكي الاربيوتر ال partition بس fixed انه اخدت اي
+
+285
+00:23:01,680 --> 00:23:07,900
+Epsilonأجدرت ألاقي S1 remains sum بحيث أن هذا نقص
+
+286
+00:23:07,900 --> 00:23:10,980
+هذا يكون أصغر من يبسلون طبعا هذا الطبيعي هو أكبر
+
+287
+00:23:10,980 --> 00:23:13,760
+من هذا لكن الفرق بدي أخليه أصغر من يبسلون وأنا
+
+288
+00:23:13,760 --> 00:23:20,440
+بقدر أخليه الآن عندي ال Mk بساوي اللي هو عبارة عن
+
+289
+00:23:20,440 --> 00:23:27,580
+ال supremum لل F of X such that X element XK minus
+
+290
+00:23:27,580 --> 00:23:33,490
+واحد و XK مظبوط؟الان هذا اللي هو ال infimum ال
+
+291
+00:23:33,490 --> 00:23:37,010
+least upper bound الان ال least upper bound لو
+
+292
+00:23:37,010 --> 00:23:43,890
+شيلنا منه نجفنا منه اي عدد صغير كتير كتير و ليكن
+
+293
+00:23:43,890 --> 00:23:49,850
+ال y على مين على b minus a ببطل upper bound مدام
+
+294
+00:23:49,850 --> 00:23:55,510
+بطل upper bound اذا بقدر اناجي xik element ال xk
+
+295
+00:23:55,510 --> 00:23:57,230
+minus واحد و xk
+
+296
+00:24:00,970 --> 00:24:08,050
+تكون مالها أكبر من مين من اللي هو اللي بطل other
+
+297
+00:24:08,050 --> 00:24:13,600
+boundالان هذا اللي سويته مع الام كيه بقدر اسويه مع
+
+298
+00:24:13,600 --> 00:24:16,280
+الام واحد و الام اتنين و الام تلتة ايه منهم كلهم
+
+299
+00:24:16,280 --> 00:24:21,500
+إذا صار ال summation ك من عند واحد لعند ان و اضربه
+
+300
+00:24:21,500 --> 00:24:25,940
+كمان في مين xk minus xk minus واحد مافيش مانع لإن
+
+301
+00:24:25,940 --> 00:24:29,740
+أنا دموجة و أنا دموجة بتظهر زي ما هي xk ناقص xk
+
+302
+00:24:29,740 --> 00:24:32,720
+minus واحد واخده ال summation هذا ك من عند واحد
+
+303
+00:24:32,720 --> 00:24:38,120
+لعند مين لعند ان لجيتها ال xi k تبعت ال S واحد هذه
+
+304
+00:24:39,040 --> 00:24:47,580
+الان هذا remain sum بسميه S1 بيوف على مين اعتمد
+
+305
+00:24:47,580 --> 00:24:52,620
+على ال exiled case اللي انا لجيتها هذا ايش بيساوي
+
+306
+00:24:52,620 --> 00:24:59,480
+اللي هو summation Mk في Xk minus Xk minus واحد
+
+307
+00:24:59,480 --> 00:25:08,840
+ناقص ال summationXY-XK
+
+308
+00:25:08,840 --> 00:25:10,840
+-1
+
+309
+00:25:17,430 --> 00:25:22,310
+هذا summation سامحوني على الضيق اللوح هذا بيصير ال
+
+310
+00:25:22,310 --> 00:25:24,350
+summation على الأول زاد ال summation على الثانى هي
+
+311
+00:25:24,350 --> 00:25:27,630
+ال summation على الأول كم من عند واحد لعند أن ناقص
+
+312
+00:25:27,630 --> 00:25:29,910
+ال summation على التاني كم من عند واحد لعند أن
+
+313
+00:25:29,910 --> 00:25:34,810
+واخدت ال y بي و ماينوس أيه عن المشترك برا ال
+
+314
+00:25:34,810 --> 00:25:37,830
+summation دلت ال summation لهذا أصغر أو يساوي
+
+315
+00:25:37,830 --> 00:25:44,330
+بيقول لهذا مين هو أو أصغر من رمان صم أس بي و أف و
+
+316
+00:25:44,330 --> 00:25:53,580
+سمنها أس واحدهذا مين هو اكيد كلكم عارفه U P و F و
+
+317
+00:25:53,580 --> 00:26:00,000
+هذا ايش هو ناقص ايش هذاهذا اكيد y على b minus a في
+
+318
+00:26:00,000 --> 00:26:03,680
+هذا المقدار هذا المقدار عبارة عن x naught x واحد
+
+319
+00:26:03,680 --> 00:26:08,440
+ناقص x naught زائد x اتنين ناقص x واحد زائد عرفته
+
+320
+00:26:08,440 --> 00:26:12,240
+اذا اخر واحد xn ناقص xn ناقص واحد يعني بيظل xn
+
+321
+00:26:12,240 --> 00:26:16,280
+ناقص x naught كله ب cancel بعض xn اللي هي ال a ال
+
+322
+00:26:16,280 --> 00:26:20,180
+b و ال x naught هي ال a يعني هذا عبارة عن b minus
+
+323
+00:26:20,180 --> 00:26:27,450
+a اصلا من s واحد بيقفيعني صار عندي الـ U بي و F و
+
+324
+00:26:27,450 --> 00:26:35,710
+جيب لي هذا هنا نقص S1 بي و Fأشماله أصغر من أبسلون
+
+325
+00:26:35,710 --> 00:26:43,150
+فعلا انا اجدت اس واحد من
+
+326
+00:26:43,150 --> 00:27:00,870
+أبسلون
+
+327
+00:27:00,980 --> 00:27:08,700
+إذا لجيت S1 و S2 بحيث تحقق هذه الخاصية انتبهوا
+
+328
+00:27:08,700 --> 00:27:14,340
+الان هذا الان كل اللي حكيته هنا برهان للجزئية اللي
+
+329
+00:27:14,340 --> 00:27:20,770
+كاتبها انا في البرهان و مش مضحك بشكلها الكاملطيب
+
+330
+00:27:20,770 --> 00:27:23,930
+فيكم أصلي على النبي الله مصلي على سيدنا محمد نرجع
+
+331
+00:27:23,930 --> 00:27:28,450
+نقولكم انه لجينا اللي هو الاس واحد والاس اتنين
+
+332
+00:27:28,450 --> 00:27:31,870
+اللي بيحققن هذا طبعا ال بي كان ايش ماله any fixed
+
+333
+00:27:31,870 --> 00:27:37,410
+partition الان معطينا
+
+334
+00:27:37,410 --> 00:27:43,050
+هنا انه هذا معطى هذا معطى ديروا بالكم انه there
+
+335
+00:27:43,050 --> 00:27:46,970
+exists بي ابسلون بحيث ان بي بتحتوي بي ابسلون هذا
+
+336
+00:27:46,970 --> 00:27:52,630
+يتحقق الاناللي اتحقق على الـ P اللي هام، هيتحقق
+
+337
+00:27:52,630 --> 00:27:57,010
+على الـ P الإبسلون اللي هام ماشي الحال، إذا الأن
+
+338
+00:27:57,010 --> 00:28:01,930
+الـ U P إبسلون و الـ F ناقص الـ L P و F اللي هو
+
+339
+00:28:01,930 --> 00:28:10,460
+بساوي U U P و F ناقص L P و Fماشي ايش هذا اخدت ال
+
+340
+00:28:10,460 --> 00:28:13,740
+بي إبسلون ال بي اللي هنا هي ال بي إبسلون عشان اقول
+
+341
+00:28:13,740 --> 00:28:17,440
+انه انا اللي حققته على اللي هي ال بي فده حققته على
+
+342
+00:28:17,440 --> 00:28:20,460
+ال بي إبسلون انه هذا كان unfixed partition اصغر او
+
+343
+00:28:20,460 --> 00:28:25,700
+يساوي بال triangle inequality UBF ناقص SBF زي S1BF
+
+344
+00:28:25,700 --> 00:28:33,440
+ناقص A زي A ناقص S2BFماذا فعلت؟ بالـ Triangle
+
+345
+00:28:33,440 --> 00:28:37,380
+Inquality أضفت الـ S واحد وطرحت الـ S واحد وضفت
+
+346
+00:28:37,380 --> 00:28:41,260
+الـ A وطرحت الـ A وضفت الـ S اتنين وطرحت الـ S
+
+347
+00:28:41,260 --> 00:28:44,480
+اتنين وعملت الـ Triangle Inquality وطبقت هذه واحدة
+
+348
+00:28:44,480 --> 00:28:48,260
+كامتين، تلاتة، أربعة صار عندي أزرع يساوي هذا، زائد
+
+349
+00:28:48,260 --> 00:28:57,300
+هذا، زائد هذا، زائد هذا، ماشي الحل صار
+
+350
+00:28:57,300 --> 00:28:58,480
+عندي يا جماعة الآن
+
+351
+00:29:12,650 --> 00:29:17,970
+صار عندى اللى هو الان طبعا ال a ايش هي ال a اللى
+
+352
+00:29:17,970 --> 00:29:20,310
+في النظرية دى بقالكم a is the number in the
+
+353
+00:29:20,310 --> 00:29:24,270
+hypothesis of theorem then by the hypothesis of
+
+354
+00:29:24,270 --> 00:29:31,650
+theorem and star الان من اللى هو المعطى بيعطينا ان
+
+355
+00:29:31,650 --> 00:29:35,630
+ال s واحد نقص اللى a أصغر من يبسلون و ال s اتنين
+
+356
+00:29:35,630 --> 00:29:39,430
+نقص اللى a أصغر من يبسلون لأن هذا صحيح اللى فوق
+
+357
+00:29:39,430 --> 00:29:39,850
+لان
+
+358
+00:29:47,480 --> 00:29:53,200
+أذكركم كمان مرة بالمعطى
+
+359
+00:29:53,200 --> 00:30:00,540
+ان هناك مجموعة بي اس ايبسلون هي اللي بتشتغل في اس
+
+360
+00:30:00,540 --> 00:30:05,040
+بي و اف is any remansum corresponding لأف هيكون
+
+361
+00:30:05,040 --> 00:30:07,860
+الفرق بين هذا و هذا أصغر من ايبسلون من ضمن الاس
+
+362
+00:30:07,860 --> 00:30:11,740
+واحد والاس اتنين اللي جاتني قبل شوية اذا صار عندي
+
+363
+00:30:11,740 --> 00:30:20,530
+الكل اللي بشتغلوا مشروع بيصير اللي هوالـ UB نقص
+
+364
+00:30:20,530 --> 00:30:25,730
+الـ S1 أصغر من إبسلون و هذا أصغر من الإبسلون مُعطى
+
+365
+00:30:25,730 --> 00:30:29,230
+وهذا أصغر من الإبسلون مُعطى وهذا و هذا أصغر كل
+
+366
+00:30:29,230 --> 00:30:33,370
+واحد من إبسلون من اللي أتبته هنا قبل بشوية إذا صرت
+
+367
+00:30:33,370 --> 00:30:41,070
+اللي هي كلها أصغر من 4 إبسلون ماشي الحالأبسلون was
+
+368
+00:30:41,070 --> 00:30:48,930
+arbitrary then by 4718 F is integrableF is
+
+369
+00:30:48,930 --> 00:30:53,690
+integrable لأنه وجدت بإبسلون لأن U نقص لأخر من
+
+370
+00:30:53,690 --> 00:30:57,430
+أربعة إبسلون بإبسلون وبعض arbitrarily إذا بصير
+
+371
+00:30:57,430 --> 00:31:01,910
+عندي صحيح واحد متضايق من الأربعة إبسلون في اللي
+
+372
+00:31:01,910 --> 00:31:04,430
+فوق خد إبسلون على أربعة إبسلون على أربعة و النظرية
+
+373
+00:31:04,430 --> 00:31:08,730
+الأولى و المعطى برضه بتاخدوا إبسلون على أربعة
+
+374
+00:31:08,730 --> 00:31:19,300
+بطريقة حسابية معاه طيب إذا صار عنديلجينا الان then
+
+375
+00:31:19,300 --> 00:31:22,480
+by theorem 7 1 8 F is integrable and for every
+
+376
+00:31:22,480 --> 00:31:25,360
+epsilon أكبر من 0 there exists B epsilon of I such
+
+377
+00:31:25,360 --> 00:31:28,800
+that FB بتحتول بي ابسلون and B is a partition of I
+
+378
+00:31:28,800 --> 00:31:36,380
+then S of B و F مقصدها أصغر من 100 من إبسلون إيش
+
+379
+00:31:36,380 --> 00:31:39,840
+هذا؟ حنا أثبتنا انه integrable مدام انتجرابل باللي
+
+380
+00:31:39,840 --> 00:31:44,100
+كاتبوا هناواللي كاتبوها هيكون الفرق بين for every
+
+381
+00:31:44,100 --> 00:31:47,320
+ε there exists بي إبسلون و الـ B تحتوى 100 بي
+
+382
+00:31:47,320 --> 00:31:50,040
+إبسلون واحد يقول طب ما هو خايفين الـ بي إبسلون
+
+383
+00:31:50,040 --> 00:31:53,260
+اللي لاجيناها في الأول المعطف في النظرية غير الـ
+
+384
+00:31:53,260 --> 00:31:57,260
+بي إبسلون هذه مش مشكلة الـ بي إبسلون فرطنة تبعة
+
+385
+00:31:57,260 --> 00:32:01,560
+النظرية بي برايم of إبسلونوهذه اللي وجدناها من الـ
+
+386
+00:32:01,560 --> 00:32:05,660
+Integrability للـ P للـ F اللي أثبتناها نسميها بي
+
+387
+00:32:05,660 --> 00:32:09,480
+إبسلون دابل براين خد الـ بي إبسلون اللي بتحكي
+
+388
+00:32:09,480 --> 00:32:14,520
+عليها الآن عشان تنفع للجهتين خدها بساوي بي إبسلون
+
+389
+00:32:14,520 --> 00:32:20,060
+براين اتحاد بي إبسلون دابل براينبصير الآن هذه اللي
+
+390
+00:32:20,060 --> 00:32:26,280
+هي تنفع تنفع للمعطيات الأولى والمعطيات التانية
+
+391
+00:32:26,280 --> 00:32:29,320
+لأنها بيصير refinement للأول و refinement لمن؟
+
+392
+00:32:29,320 --> 00:32:35,980
+للثاني إذا فش فيه مشكلة إذا الآنthen by hypothesis
+
+393
+00:32:35,980 --> 00:32:40,360
+of theorem أخدنا هذا أصغر من أربع إبسلون إذا سبب
+
+394
+00:32:40,360 --> 00:32:43,840
+له هذا أن هو F is integrable مدام F is integrable
+
+395
+00:32:43,840 --> 00:32:48,620
+إذا بالنظرية بنلاقي بي إبسلون بحيث أنه لكل بي
+
+396
+00:32:48,620 --> 00:32:53,000
+بيحتوي بي إبسلون بيكون هذا ناقص هذا أصغر من مين من
+
+397
+00:32:53,000 --> 00:32:58,890
+إبسلون هذا أصبح أصغر من إبسلونبس الآن اثبتنا عند
+
+398
+00:32:58,890 --> 00:33:02,990
+الـ F بي و F ناقص اللي أصغر من إبسلون من النظرية و
+
+399
+00:33:02,990 --> 00:33:06,570
+واحد يقول لي تبعت ال بي هادي بتختلف عن ال بي هادي
+
+400
+00:33:06,570 --> 00:33:10,450
+قلتلك علجتها ال بي هادي و ال بي هادي باخد ال بي
+
+401
+00:33:10,450 --> 00:33:13,730
+إبسلون لتبعت النظرية و ال بي إبسلون تبعت اللي هو
+
+402
+00:33:13,730 --> 00:33:17,690
+ال integrability و باخدهن اتحادهن بيكون اللي هو ال
+
+403
+00:33:17,690 --> 00:33:20,990
+بي إبسلون اللي لجيتها هنااللي بدى أستخدم إيه لها
+
+404
+00:33:20,990 --> 00:33:24,770
+الجهتين و أي refinement لها بيه لـ بي أبسلون و
+
+405
+00:33:24,770 --> 00:33:29,270
+لجديدة بيطلع هذا صح وهذا صح اتتين مع بعض دلوقتي
+
+406
+00:33:29,270 --> 00:33:35,030
+بحجل اللي استخدمهم و أقول إذا ال integration لل F
+
+407
+00:33:35,030 --> 00:33:37,830
+من A ل B نقص A أصغر و أساوي ال integration لل F
+
+408
+00:33:37,830 --> 00:33:41,990
+نقص ال S زاد ال S نقص ال Aاللي هو ضيف ال term و
+
+409
+00:33:41,990 --> 00:33:46,750
+طرحت ال term هذا هي أصغر من إبسلون وهذا أصغر من
+
+410
+00:33:46,750 --> 00:33:50,210
+إبسلون إذا صار هذا أصغر من اتنين إبسلون صار عندي
+
+411
+00:33:50,210 --> 00:33:53,910
+فيه العدد هذا بين اللي هو اتنين إبسلون وأكبر أو
+
+412
+00:33:53,910 --> 00:33:56,870
+ساوي سفر وإبسلون arbitrary إذا هذا المقدر لازم
+
+413
+00:33:56,870 --> 00:34:00,750
+ساوي سفر إذا ال integration بساوي مين بساوي ليه
+
+414
+00:34:00,750 --> 00:34:03,510
+وهو المطلوب طيب
+
+415
+00:34:10,110 --> 00:34:17,630
+نجي لأ اللي هو ال definition سبعة أربعة أربعة ال
+
+416
+00:34:17,630 --> 00:34:23,270
+definition بسيط بده يعرف حاجة اسمها مش أو norm هو
+
+417
+00:34:23,270 --> 00:34:27,330
+انا بسميها مش عادة الناس بتسميها norm ايش ال .. ال
+
+418
+00:34:27,330 --> 00:34:31,550
+.. ال مش اللي بده يعرفه؟ بقول لو كان عندك
+
+419
+00:34:31,550 --> 00:34:38,910
+partition B بساوي X0 و X1 لعندي XNالان كل sub
+
+420
+00:34:38,910 --> 00:34:46,970
+interval لها طول ال norm ل ال B او مش ل ال B هو
+
+421
+00:34:46,970 --> 00:34:51,920
+عبارة عن ال maximumأو الـ Supremum Maximum لأن الـ
+
+422
+00:34:51,920 --> 00:34:53,860
+Supremum حاسب Maximum لإنه الـ finite دول
+
+423
+00:34:53,860 --> 00:34:59,480
+الماكسيمم لا X1 ناقص X0 و X2 ناقص X1 لأطوال
+
+424
+00:34:59,480 --> 00:35:03,140
+الفترات يعني sub interval لعند ال XN ناقص XN ناقص
+
+425
+00:35:03,140 --> 00:35:07,880
+1 الماكسيمم الهن هدول أطوال الفترات هو اللي بنسميه
+
+426
+00:35:07,880 --> 00:35:14,000
+مين النورم للـ B هو النورم للـ B الآن يعني يعني لو
+
+427
+00:35:14,000 --> 00:35:20,670
+كان عندك لو كان عندك هي عند الفترةمن صفر لعين
+
+428
+00:35:20,670 --> 00:35:31,410
+تلاتة مثلا هاي عند بي بتساوي صفر نص واحد اتنين
+
+429
+00:35:31,410 --> 00:35:37,970
+تلاتة مثلا بكون ال normal بي ايش هيساوي ايش ال
+
+430
+00:35:37,970 --> 00:35:41,510
+normal بي اكيد هتقولوا كلكم تلاتة ناقص اتنين واحد
+
+431
+00:35:41,510 --> 00:35:44,710
+اتنين ناقص واحد واحد واحد ناقص نص نص واحد اذا ايش
+
+432
+00:35:44,710 --> 00:35:49,110
+هيساوي واحد اكبر اكبر طول sub interval واحدلو جينا
+
+433
+00:35:49,110 --> 00:36:00,350
+أخدنا الـ Q مثلا بساوي اللي هو Zero نص واحد واحد و
+
+434
+00:36:00,350 --> 00:36:08,890
+تلت اتنين اتنين و نص و تلاتة وقلنا لكم اوجد الـ Q
+
+435
+00:36:09,620 --> 00:36:13,420
+أكيد كلكم حدقول الـ Q أشمالها اللي هي بين الواحد و
+
+436
+00:36:13,420 --> 00:36:17,420
+تلت والتانين هي أكبر أكبر مسافة اللي هي عبارة عن
+
+437
+00:36:17,420 --> 00:36:23,060
+إيه؟ تلتين لاحظوا أن الـ B مجموعة جزئية من مين؟ من
+
+438
+00:36:23,060 --> 00:36:33,810
+الـ Q لما .. لما الآن الـ Q كبرت نورمهاهيكون أصغر
+
+439
+00:36:33,810 --> 00:36:37,590
+أو يساوي norm من الـ B طبيعي لأنه دخلت نقطة جديدة
+
+440
+00:36:37,590 --> 00:36:43,690
+ممكن تزخر المسافة لكن مش ممكن تزيدها طيب وهذه اللي
+
+441
+00:36:43,690 --> 00:36:47,810
+هي بعض الملاحظات اللي هنا على اللي هي ال norm أو
+
+442
+00:36:47,810 --> 00:36:55,800
+ال mesh اللي الآن بعض اللي هوالملاحظات اللي هو
+
+443
+00:36:55,800 --> 00:37:00,780
+different partition of I can have the same مش بقول
+
+444
+00:37:00,780 --> 00:37:03,280
+يعني ممكن different partition لل .. لل .. لل ..
+
+445
+00:37:03,280 --> 00:37:06,140
+للinterval اللي ده same مش اه بقدر هاد انا اجيبلك
+
+446
+00:37:06,140 --> 00:37:12,200
+كمان واحد زي هدول خد كمان بي برايم بساوي سفر و نص
+
+447
+00:37:12,200 --> 00:37:20,030
+و واحد و اتنين و اتنين و نص و تلاتةهذا الـ B'
+
+448
+00:37:20,270 --> 00:37:25,170
+يختلف عن الـ B لكن نورمه التاني الواش بيساوي واحد
+
+449
+00:37:25,170 --> 00:37:30,530
+يعني ال different partitions ممكن يكون لها نفس
+
+450
+00:37:30,530 --> 00:37:34,730
+نورم و هاي مثال و كتير فيه زي ذلك لأن لو كانت B
+
+451
+00:37:34,730 --> 00:37:39,730
+subset من Q نورم لـ Q أظهر يساوي نورم لمن؟ لـ B و
+
+452
+00:37:39,730 --> 00:37:43,720
+اتبعت السهل هذاخد الـ B subset إذا هيكون عنده اللي
+
+453
+00:37:43,720 --> 00:37:47,080
+هو عدد النقاط اللي في Q أكتر من عدد النقاط اللي في
+
+454
+00:37:47,080 --> 00:37:53,780
+B هكون ال maximum على الأولى اللي هو أكبر أو شاوي
+
+455
+00:37:53,780 --> 00:37:56,720
+ال maximum على مين على التاني لإنه اللي صار فيها
+
+456
+00:37:56,720 --> 00:38:02,070
+زيادات صار فيه إمكانية إنها تقصر الفتراتطيب لكن لو
+
+457
+00:38:02,070 --> 00:38:05,330
+كان ال normal ال Q أصغر شويه ال normal ال B مش شرط
+
+458
+00:38:05,330 --> 00:38:10,110
+أن يكون B subset من مين؟ من ال Q أو كتير بتلاقي
+
+459
+00:38:10,110 --> 00:38:16,910
+أمثلة زي هي ال normal
+
+460
+00:38:16,910 --> 00:38:25,160
+B هذا إيش بيساوي؟ normal B بيساوي واحدالان عندي ..
+
+461
+00:38:25,160 --> 00:38:32,320
+مش شرط .. يعني هديلك اللي هو Normal Q أصغر أوي
+
+462
+00:38:32,320 --> 00:38:40,040
+ساوي Normal B لكن الـ B اللي هو ليس شرطا أنها تكون
+
+463
+00:38:40,040 --> 00:38:47,500
+subset من مين؟ من إيش؟ من الـ Q Normal B واحد خد
+
+464
+00:38:47,500 --> 00:38:48,060
+الـ Q
+
+465
+00:38:53,000 --> 00:39:03,100
+بساوي اللي هو سفر و واحد و اتنين و اتنين و نص و
+
+466
+00:39:03,100 --> 00:39:07,180
+تلاتة نورمال
+
+467
+00:39:07,180 --> 00:39:12,100
+كيوه بديه ال
+
+468
+00:39:12,100 --> 00:39:19,920
+gate
+
+469
+00:39:19,920 --> 00:39:22,280
+واحد و واحد و نص
+
+470
+00:39:25,990 --> 00:39:34,190
+وهي نص كمان سفر و نص Normal Q بساوة نص مظبوط
+
+471
+00:39:34,190 --> 00:39:45,650
+Normal Q بساوة نص لكن ال B ال B خلي هذا تلت ماشي
+
+472
+00:39:45,650 --> 00:39:51,220
+خلي هذا تلت صارت ال B مش subset من مينمن الـ Q
+
+473
+00:39:51,220 --> 00:39:54,420
+ممكن تلاقي افضل اكتير هذه الـ B أكيد مش subset من
+
+474
+00:39:54,420 --> 00:40:00,460
+الـ Q Normal B بيبقى واحد صح؟ Normal B واحد و
+
+475
+00:40:00,460 --> 00:40:06,160
+Normal Q ايش بيساوي نص لأن الفرق بينهم انصاص هذه
+
+476
+00:40:06,160 --> 00:40:12,340
+عندك Normal Q أصغر او يساوي Normal B لأن هذا نص
+
+477
+00:40:12,340 --> 00:40:14,420
+وهذا واحد but
+
+478
+00:40:17,620 --> 00:40:22,380
+واضح الـ B هي سفر و تلت و واحد و اتنين و تلاتة ليس
+
+479
+00:40:22,380 --> 00:40:26,100
+subset من الـ Q صفر و نص و واحد و نص و .. و .. و
+
+480
+00:40:26,100 --> 00:40:27,400
+.. و .. و .. و .. و .. و .. و .. و .. و .. و .. و
+
+481
+00:40:27,400 --> 00:40:28,940
+.. و .. و .. و .. و .. و .. و .. و .. و .. و .. و
+
+482
+00:40:28,940 --> 00:40:29,640
+.. و .. و .. و .. و .. و .. و .. و .. و .. و .. و
+
+483
+00:40:29,640 --> 00:40:30,360
+.. و .. و .. و .. و .. و .. و .. و .. و .. و .. و
+
+484
+00:40:30,360 --> 00:40:30,380
+.. و .. و .. و .. و .. و .. و .. و .. و .. و .. و
+
+485
+00:40:30,380 --> 00:40:34,960
+.. و .. و .. و .. و .. و .. و .. و .. و .. و .. و
+
+486
+00:40:34,960 --> 00:40:36,340
+.. و .. و .. و .. و .. و .. و ..
+
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/VMrrs0aJBPM_postprocess.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/VMrrs0aJBPM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..967f837f77160ac49c7b07ea07fcee4ce25c4efa
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/VMrrs0aJBPM_postprocess.srt
@@ -0,0 +1,2420 @@
+1
+00:00:05,280 --> 00:00:12,080
+بسم الله الرحمن الرحيم المحاضرة الرابعة مساق تحليل
+
+2
+00:00:12,080 --> 00:00:18,780
+حقيقة 2 لطلبة الجامعة الإسلامية كلية العلوم قسم
+
+3
+00:00:18,780 --> 00:00:26,480
+الرياضيات نستكمل الحديث عن نظرية القيمة المتوسطة
+
+4
+00:00:26,480 --> 00:00:33,380
+أو the mean value theorem وما يتعلق بذلك تحدثنا
+
+5
+00:00:33,380 --> 00:00:40,130
+المرة الماضيةمعنى relative extrema سواء relative
+
+6
+00:00:40,130 --> 00:00:43,290
+maximum أو relative minimum أو بمعنى أخر ال
+
+7
+00:00:43,290 --> 00:00:47,450
+absolute ال local maximum و ال local minimum
+
+8
+00:00:47,450 --> 00:00:53,910
+معرفناها المرة الماضية و أتحدثنا أيضًا عن اللي هو
+
+9
+00:00:53,910 --> 00:00:58,650
+ال interior extreme theorem ال interior extreme
+
+10
+00:00:58,650 --> 00:01:03,430
+theorem اللي هي جوابتنا على السؤال اللي بنحكي فيه
+
+11
+00:01:03,770 --> 00:01:09,170
+أين يمكن إيجاد القيم العظمى أو القيم الصغرى
+
+12
+00:01:09,170 --> 00:01:14,730
+النظرية اللي بتحكي كانت ان لو كانت C عبارة عن
+
+13
+00:01:14,730 --> 00:01:20,610
+interior point اللي هي ال interval I اللي عندها
+
+14
+00:01:20,610 --> 00:01:27,220
+اللي هي ال function F ال derivative موجودةبقول لو
+
+15
+00:01:27,220 --> 00:01:32,140
+كان عند النقطة هذه في relative extremum سواء
+
+16
+00:01:32,140 --> 00:01:36,740
+minimum أو maximum لل F عنده نقطة C قطعا ال F
+
+17
+00:01:36,740 --> 00:01:42,900
+prime of C هتساوي 0 ومن هنا استقينا أن أين يمكن
+
+18
+00:01:42,900 --> 00:01:48,060
+إيجاد النقطة العظمى والنقطة الصغيرة المحلية وقلنا
+
+19
+00:01:48,060 --> 00:01:52,480
+هي في أحد ثلاث مناطق اللي هو أما F prime بتساوي 0
+
+20
+00:01:53,060 --> 00:01:58,080
+أو F prime does not exist للنقاط الداخلية طبعا أو
+
+21
+00:01:58,080 --> 00:02:02,120
+اللي هو ال end points فتلت مناطق اللي هي بنفحص
+
+22
+00:02:02,120 --> 00:02:07,360
+فيها اللي هي ال relative maximum أو ال relative
+
+23
+00:02:07,360 --> 00:02:11,400
+minimumوالـ Corollary اللي بعد هي اللي حكيته عنه
+
+24
+00:02:11,400 --> 00:02:16,400
+قبل بشوية الآن و بعدين اتحدثنا .. بدنا نتحدث على
+
+25
+00:02:16,400 --> 00:02:21,180
+ال roles theorem و قولنا ال roles theorem اللي هي
+
+26
+00:02:21,180 --> 00:02:25,840
+كانت بتعالج أنه لو كانت عندي function F من عند A و
+
+27
+00:02:25,840 --> 00:02:31,880
+B لعند R و كانت هذه ال function is continuous على
+
+28
+00:02:31,880 --> 00:02:37,830
+closed intervalاللي هي من a لعند b و
+
+29
+00:02:37,830 --> 00:02:42,030
+differentiable على ال open interval من a لb و أيضا
+
+30
+00:02:42,030 --> 00:02:47,230
+وضعنا شرط أن f of a بيساوي f of b بيساوي سفر
+
+31
+00:02:47,230 --> 00:02:54,210
+بقولنا ال f differentiable on a و bوالـ F
+
+32
+00:02:54,210 --> 00:03:00,110
+continuous on A وB كله مع بعض هذا أعطانا أنه there
+
+33
+00:03:00,110 --> 00:03:05,130
+exists C element in A وB بنلاقي النقطة C بين A وB
+
+34
+00:03:05,130 --> 00:03:10,530
+بحيث أن يكون ميل المماس عندها يساوي سفر أو F prime
+
+35
+00:03:10,530 --> 00:03:16,370
+of C بساوي سفر أو بمعنى آخر يوجد مماس عند هذه
+
+36
+00:03:16,370 --> 00:03:22,030
+النقطة يوازي محور الـ CNETبعد ذلك طبعا تحدثنا عن
+
+37
+00:03:22,030 --> 00:03:27,650
+الـ Mean Value Theorem الـ Mean Value Theorem اللي
+
+38
+00:03:27,650 --> 00:03:31,710
+كانت أيضا على الرسم خلينا نشوف الـ Mean Value
+
+39
+00:03:31,710 --> 00:03:35,590
+Theorem قالت إن لو كانت الـ function is continuous
+
+40
+00:03:35,590 --> 00:03:40,750
+على closed interval من A لB وكانت اللي هي
+
+41
+00:03:40,750 --> 00:03:43,470
+differentiable على الـ open interval A وB
+
+42
+00:03:49,160 --> 00:03:57,260
+الان الاستنتاج اللى بيكون تعميم للهو Rawls theorem
+
+43
+00:03:57,260 --> 00:04:03,350
+ايش هو الاستنتاج انهبنلاقي نقطة في المنطقة بين A و
+
+44
+00:04:03,350 --> 00:04:10,890
+B بكون المماس عندها موازلة القاطع اللي بين مين الـ
+
+45
+00:04:10,890 --> 00:04:14,850
+A و الـ B أو بمعنى آخر بكون عنده النقطة C اللي
+
+46
+00:04:14,850 --> 00:04:21,890
+لاجناها اللي هي F prime of C بساوي F of B minus F
+
+47
+00:04:21,890 --> 00:04:29,310
+of A على B minus A وهذا هو الذي يمثلميل القاطع بين
+
+48
+00:04:29,310 --> 00:04:34,170
+النقطة A أو بين النقطة B أو بين النقطة A و F of A
+
+49
+00:04:34,170 --> 00:04:38,430
+ونقطة B و F of B فبتكون هذه عبارة عن نظرية القيمة
+
+50
+00:04:38,430 --> 00:04:44,030
+المتوسطة اللي هي تعميم لـ Lowell's theorem بعدها
+
+51
+00:04:44,030 --> 00:04:51,790
+تحدثناعن اللي هو البعض النتائج قلنا إن لو كانت الـ
+
+52
+00:04:51,790 --> 00:04:56,930
+function F continuous على closed interval I وكانت
+
+53
+00:04:56,930 --> 00:05:00,410
+F differentiable على ال open interval وكانت اللي
+
+54
+00:05:00,410 --> 00:05:05,090
+هي F prime بتساوي 0 على كل الفترة A وB قلنا هذه
+
+55
+00:05:05,090 --> 00:05:09,430
+الدالة هي الدالة الثابتة هتكون The F is constant
+
+56
+00:05:09,430 --> 00:05:16,400
+على الفترة المغلقة A O Bأيضًا Corollary لهذه
+
+57
+00:05:16,400 --> 00:05:20,840
+النظرية برضه اللي هي معلومات معهودة من ال calculus
+
+58
+00:05:20,840 --> 00:05:26,340
+اللي هي أنه لو كان في عندنا دالتين F و G و هذولة
+
+59
+00:05:26,340 --> 00:05:30,600
+الدالتين اللي عندنا اللي هن .. اللي هن نفس المشتقة
+
+60
+00:05:30,600 --> 00:05:36,380
+على الفترة A و B Openبكون عندى الفرق بين اللى هى
+
+61
+00:05:36,380 --> 00:05:39,460
+الـ F و الـ G هو عبارة عن ثابت أو بمعنى آخر F
+
+62
+00:05:39,460 --> 00:05:44,880
+بتساوي G زائد C for some constant C على الفترة I
+
+63
+00:05:44,880 --> 00:05:51,160
+بعد هيك اللى دخلنا و أعرفنا شو معنات F من I لعند R
+
+64
+00:05:51,160 --> 00:05:55,780
+is increasing على ال interval قلنا أن F is
+
+65
+00:05:55,780 --> 00:06:03,570
+increasing إذا كانت اللى هىأخدنا أي نقطتين في الـ
+
+66
+00:06:03,570 --> 00:06:09,870
+I X1 و X2 بحقق ان X1 أصغر من X2 إذا قدلنا هذا أن
+
+67
+00:06:09,870 --> 00:06:13,430
+أف X1 أصغر أو أسوأ من أف X2 من جول عن الـ function
+
+68
+00:06:13,430 --> 00:06:19,430
+A شمالها is increasingالان اللي هو similar لتعريف
+
+69
+00:06:19,430 --> 00:06:24,190
+الـ decreasing إن X1 أصغر من X2 تؤدي إلى F of X1
+
+70
+00:06:24,190 --> 00:06:29,230
+أكبر أو يساوي F of X2 بتكون اليد ده اللي أشمالها
+
+71
+00:06:29,230 --> 00:06:33,970
+is decreasing على هذه الفترةفي المقابل أيضًا في
+
+72
+00:06:33,970 --> 00:06:36,810
+تعريف حاجة اسمها برضه ذكرناه هو strictly
+
+73
+00:06:36,810 --> 00:06:40,230
+increasing أو strictly decreasing strictly
+
+74
+00:06:40,230 --> 00:06:44,070
+increasing أو strictly decreasing نحكي عن ال
+
+75
+00:06:44,070 --> 00:06:48,610
+strictly increasing بتكون اللي هي تحقق مالي لو x1
+
+76
+00:06:48,610 --> 00:06:54,590
+و x2 في ال I و x1 أصغر من x2 هذا بيقديلي إلى f of
+
+77
+00:06:54,590 --> 00:07:00,530
+x1 strictly أصغر من f of x2 مع عدم إمكانية
+
+78
+00:07:00,530 --> 00:07:06,340
+المساويةالان similarly for الـ F is اللي هو
+
+79
+00:07:06,340 --> 00:07:10,820
+strictly decreasing هذا اتحدثنا فيه المرة الماضية
+
+80
+00:07:10,820 --> 00:07:14,240
+النظرية
+
+81
+00:07:14,240 --> 00:07:17,860
+اللي هي let F من I لعند R be differentiable اللي
+
+82
+00:07:17,860 --> 00:07:23,100
+هي أوصلنا عند هذه النظرية خلينا نشوف هذه النظرية و
+
+83
+00:07:23,100 --> 00:07:30,900
+نتفحص إيش هي نظرية بتقول و من ثم نشوف لماذااللي هو
+
+84
+00:07:30,900 --> 00:07:38,960
+هي صحيحة عندي
+
+85
+00:07:38,960 --> 00:07:46,440
+نظرية بتقوللي theorem 6.2.7 اللي بتحكي النظرية
+
+86
+00:07:46,440 --> 00:07:54,580
+بتقوللي لو كان عندي F let F من I لعنب R be
+
+87
+00:07:54,580 --> 00:08:05,490
+differentiable onthe interval .. the interval I
+
+88
+00:08:05,490 --> 00:08:11,910
+فرضنا إن F is differentiable على الinterval I الآن
+
+89
+00:08:11,910 --> 00:08:17,690
+اللي بدأ أقوله عبارة عن test بنستعمل ال test في
+
+90
+00:08:17,690 --> 00:08:22,030
+معرفة إن F is increasing أو لأ و F is decreasing
+
+91
+00:08:22,030 --> 00:08:27,530
+أو لأ بنقول F is increasing
+
+92
+00:08:29,130 --> 00:08:36,650
+on I إيش الفحص؟ if and only if F prime of X أكبر
+
+93
+00:08:36,650 --> 00:08:44,130
+أو يساوي سفر لكل X موجودة في الـ I والآن F is
+
+94
+00:08:44,130 --> 00:08:52,450
+decreasing on I if and only if F prime of X أصغر
+
+95
+00:08:52,450 --> 00:08:57,750
+أو يساوي سفر لكل X element in I هذه هي النظرية
+
+96
+00:08:57,750 --> 00:09:04,430
+اللي عندناو هنبرهن اللي هو A أو B في الكتاب نبرهن
+
+97
+00:09:04,430 --> 00:09:09,370
+A خلّينا نبرهن مين نبرهن B و هتكون A similarly for
+
+98
+00:09:09,370 --> 00:09:17,550
+B الان بي .. بدنا نفترض suppose that
+
+99
+00:09:17,550 --> 00:09:30,710
+F is decreasing on IF is decreasing on I بدنا ..
+
+100
+00:09:30,710 --> 00:09:36,650
+بدنا نثبت الآن أن الـ F prime of X اللي هي أصغر أو
+
+101
+00:09:36,650 --> 00:09:43,190
+يساوي مين سفر طبعاً F prime of X في النهاية إيش
+
+102
+00:09:43,190 --> 00:09:47,930
+هي؟ عشان نشوف كيف بنفكر أول إشي F prime of X بساوي
+
+103
+00:09:47,930 --> 00:09:55,080
+limit F of Xأو f prime of c مثلا for arbitrary c f
+
+104
+00:09:55,080 --> 00:10:00,820
+of x نقص f of c على x minus c لما x تروح لل c إذا
+
+105
+00:10:00,820 --> 00:10:05,520
+ال limit هذا أثبتناه أصغر أو يساوي سفر معناته صارت
+
+106
+00:10:05,520 --> 00:10:12,030
+اللي هي ال f prime أصغر أو يساوي سفرالان عندى انا
+
+107
+00:10:12,030 --> 00:10:16,990
+لو اثبتت هذا المقدار اصغر او يساوي سفر في المنطقة
+
+108
+00:10:16,990 --> 00:10:20,870
+حول الـC بقدر اقول ان ال limit على طول ايه اشماله
+
+109
+00:10:20,870 --> 00:10:27,550
+اصغر او يساوي ايه سفر ده نشوف كيف عندى الان بدي
+
+110
+00:10:27,550 --> 00:10:32,170
+اثبت انها هذه F prime اصغر او يساوي سفر على كل X
+
+111
+00:10:32,170 --> 00:10:39,450
+element in I بدي اقول let C be an arbitrary
+
+112
+00:10:41,100 --> 00:10:47,160
+and fixed in I يعني بتحكي عنها عن C لكن هي
+
+113
+00:10:47,160 --> 00:10:54,780
+arbitrary لكن بحكي عن C معينة الآن عندي يا X أكبر
+
+114
+00:10:54,780 --> 00:11:01,800
+من C يا X أشمالها أصغر من Cماشي الحال ليش أخدت
+
+115
+00:11:01,800 --> 00:11:04,160
+أكبر أو أصغر؟ لأن عمّالي بيداخد limit فالـ X ده
+
+116
+00:11:04,160 --> 00:11:09,060
+تساوي C في حالة الـ C اللي هو الأمر اللي هيكون
+
+117
+00:11:09,060 --> 00:11:13,180
+اللي هي عبارة
+
+118
+00:11:13,180 --> 00:11:17,520
+عن الـ trivial case نشوف كيف، إيش اللي بنحكيه؟
+
+119
+00:11:17,520 --> 00:11:23,440
+الآن X أكبر من C عندي إيش مفترضين إحنا؟ F is
+
+120
+00:11:23,440 --> 00:11:30,920
+decreasing لذا then F of Xأصغر أو يساوي F of C
+
+121
+00:11:30,920 --> 00:11:38,100
+مظبوط أه بصير عندي الحسب اللي كتبته قبل و شوية F
+
+122
+00:11:38,100 --> 00:11:47,680
+of X نقص F of C اللي هو بساوي على X minus C اللي
+
+123
+00:11:47,680 --> 00:11:52,290
+هو هذا سالبf of x نقص f of z أصغر أو أكبر من صفر و
+
+124
+00:11:52,290 --> 00:11:57,110
+ال x minus z أشماله أكبر من صفر هذا الأن أكبر
+
+125
+00:11:57,110 --> 00:12:02,650
+أسالب أو صفر وهذا موجب إذا حيكون أصغر أو يساوي أيش
+
+126
+00:12:02,650 --> 00:12:08,760
+صفرواضح اه Similarly الحالة التانية من X هذا لكل
+
+127
+00:12:08,760 --> 00:12:12,800
+ال Xات اللي مين اللي أكبر من C طبعا وال Xات أنا من
+
+128
+00:12:12,800 --> 00:12:16,740
+وين باخدها من I على كل شغلي في داخل من ال interval
+
+129
+00:12:16,740 --> 00:12:21,320
+I يعني Xات اللي بشتغل فيها داخل I الان X أصغر من C
+
+130
+00:12:21,320 --> 00:12:24,900
+أكيد similarly بنفس الطريقة مدام ال decreasing
+
+131
+00:12:24,900 --> 00:12:31,580
+بيصير F of X أكبر أو يساوي F of C بيصير عندي الآن
+
+132
+00:12:31,580 --> 00:12:40,060
+اذا F of Xنقص F of C وهو موجبة وهذه X minus C
+
+133
+00:12:40,060 --> 00:12:44,880
+سالبة إذا هذولة على X minus C برضه هتطلع إيه
+
+134
+00:12:44,880 --> 00:12:49,720
+شمالها أصغر أو يساوي سفر إذا صار عندي من الجهتين
+
+135
+00:12:49,720 --> 00:12:55,660
+هنا for any X
+
+136
+00:12:55,660 --> 00:13:03,040
+element in I و X لا تساوي C أنا أصلا ملزمني حوالين
+
+137
+00:13:03,040 --> 00:13:09,810
+الـ Cلكن هذا كله كلام صحيح لـ X ∈ I X ≤ C طالع
+
+138
+00:13:09,810 --> 00:13:17,350
+عندي اللي هو F of X نعقص F of C على X minus C أصغر
+
+139
+00:13:17,350 --> 00:13:23,610
+و سوى 0 الآن مدام هذا صحيح لكل X إذا ال limitهذا
+
+140
+00:13:23,610 --> 00:13:27,530
+المقدار لما X تروح للـ C برضه هيظل أصغر أو يساوي
+
+141
+00:13:27,530 --> 00:13:33,950
+سفر وهذا هو إيش اسمه F prime of C يعني أثبتنا F
+
+142
+00:13:33,950 --> 00:13:38,530
+prime of C أصغر أو يساوي السفر وعند C كانت
+
+143
+00:13:38,530 --> 00:13:42,550
+arbitrary and fixed in I إذا صار بناء على هذا
+
+144
+00:13:42,550 --> 00:13:49,050
+الحديث صار F prime of X أصغر أو يساوي سفر لكل X
+
+145
+00:13:49,050 --> 00:13:54,760
+element in I لأنه كانت C is arbitraryهذا اللي هو
+
+146
+00:13:54,760 --> 00:14:00,440
+الجزء الأول من النظرية من اللي هو B أنه بدنا الأن
+
+147
+00:14:00,440 --> 00:14:03,180
+نيجي ل conversely بدنا نفترض هذا أصحى و أصحى و صفر
+
+148
+00:14:03,180 --> 00:14:09,040
+و نوصل لمين لل F is decreasing نيجي الأن
+
+149
+00:14:09,040 --> 00:14:19,240
+conversely و نشوف كيف نبرهن conversely الأن
+
+150
+00:14:19,240 --> 00:14:25,030
+converselyطبعاً ببرهم في AVP برضه انا conversely
+
+151
+00:14:25,030 --> 00:14:30,810
+suppose that
+
+152
+00:14:32,170 --> 00:14:39,270
+F prime of X أصغر أو سوى سفر لكل X موجودة في الآية
+
+153
+00:14:39,270 --> 00:14:43,790
+ماشي الحال شوفوا صلى الله عليه الصلاة والسلام أنا
+
+154
+00:14:43,790 --> 00:14:47,810
+بدأ أثبت أن F is decreasing يعني بدأ أفترض أن X
+
+155
+00:14:47,810 --> 00:14:53,650
+أصغر أو أخد أي قيمتين X واحد و X اتنين element
+
+156
+00:14:53,650 --> 00:14:59,250
+اتنينأخدت أي two elements element x1 وx2 element
+
+157
+00:14:59,250 --> 00:15:06,850
+in I تحقق such that x1 أصغر من مين من x2 أصغر أو
+
+158
+00:15:06,850 --> 00:15:10,570
+يساوي x .. x1 أصغر أو يساوي x2 بس في حالة ال x1
+
+159
+00:15:10,570 --> 00:15:14,490
+بيساوي x2 ما هي automatic F of x1 بيساوي F of x2
+
+160
+00:15:14,490 --> 00:15:19,920
+يعني متحققةإذن الان x1 أصغر من x2 عملتها strictly
+
+161
+00:15:19,920 --> 00:15:23,720
+عشان بتعمل منها interval وحالتي ال x1 بيساوي x2 is
+
+162
+00:15:23,720 --> 00:15:28,000
+a trivial case تتحقق مدامة x1 أصغر تساوي x2 إذن
+
+163
+00:15:28,000 --> 00:15:32,100
+عشان a function f of x1 بيساوي f of x2 إذا التحقق
+
+164
+00:15:32,100 --> 00:15:39,340
+اللي هي مين ال decreasing واضحة الان x1 أصغر من x2
+
+165
+00:15:39,340 --> 00:15:41,620
+الآن we apply
+
+166
+00:15:45,100 --> 00:15:48,880
+الـ Mean Value Theorem لأن احنا هذه نبارع كورولرز
+
+167
+00:15:48,880 --> 00:15:52,380
+أو نظريات على الـ Mean Value Theorem فالمتوقع أن
+
+168
+00:15:52,380 --> 00:15:55,240
+نستخدم الـ Mean Value Theorem في أثباتها فهنا
+
+169
+00:15:55,240 --> 00:15:59,000
+سنستخدم الـ Mean Value Theorem نطبق الـ Mean Value
+
+170
+00:15:59,000 --> 00:16:05,470
+Theorem على الانترفل الموجود بين X1 و X2طبعاً عندي
+
+171
+00:16:05,470 --> 00:16:10,330
+F هذه X1 و X2 عبارة عن جزئية من مين؟ من الـ I إذا
+
+172
+00:16:10,330 --> 00:16:12,790
+الـ F is differentiable عليها مادام differentiable
+
+173
+00:16:12,790 --> 00:16:16,050
+إذا continuous علي close و differentiable علي open
+
+174
+00:16:16,050 --> 00:16:19,240
+لإنها differentiable علي كلهاإذا شروط الـ Mean
+
+175
+00:16:19,240 --> 00:16:24,580
+Value Theorem مالها متحققة إذا there exist then
+
+176
+00:16:24,580 --> 00:16:31,060
+there exist C تنتمي إلى الفترة X1 و X2 يعني موجودة
+
+177
+00:16:31,060 --> 00:16:35,220
+في الـ I اللي هي لإن هذي جزئية من مين من I there
+
+178
+00:16:35,220 --> 00:16:43,480
+exist C such that F prime of C بساوي F of X1 أو F
+
+179
+00:16:43,480 --> 00:16:55,670
+of X2 ناقصF of X1 على X2 ناقص X1 واضح أه؟ أضرب
+
+180
+00:16:55,670 --> 00:17:00,510
+طرفين في وسطين أضرب هذه في هذه بيصير عندي F of X2
+
+181
+00:17:00,510 --> 00:17:08,170
+ناقص F of X1 اللي هو بيساوي X2 ناقص X1 في F prime
+
+182
+00:17:08,170 --> 00:17:16,190
+of C الآن عندي X2 ناقص X1 موجبةمظبوط؟ و F prime of
+
+183
+00:17:16,190 --> 00:17:20,290
+C اللي هي سالبة لإنه C واحدة من نقاط ال I و F
+
+184
+00:17:20,290 --> 00:17:24,890
+prime أصغر من سفر فيها كلها إذا صار عندي هذه سالبة
+
+185
+00:17:24,890 --> 00:17:30,150
+و هذه موجبة إذا حاصل ضربهم إيه شماله أصغر أو يساوي
+
+186
+00:17:30,150 --> 00:17:40,640
+سفر إذا صار عندي F of X2 أصغر أو يساوي Fof X1 الان
+
+187
+00:17:40,640 --> 00:17:45,900
+بدنا ب X1 أصغر من X2 وانتهينا ب F of X2 أصغر من F
+
+188
+00:17:45,900 --> 00:17:51,260
+of X1 but .. but .. but .. احنا بنعرف خلينا نكملها
+
+189
+00:17:51,260 --> 00:17:56,300
+كدا من اللي حكيناه في الأول X2 بيساوي X1 implies F
+
+190
+00:17:56,300 --> 00:18:04,100
+of X2 بتساوي F of X1 مظبوط؟ الان من هذه اللي عندي
+
+191
+00:18:04,100 --> 00:18:10,460
+الحقيقة هذهومن اللي أثبتته من هنا لعند هنا التنتين
+
+192
+00:18:10,460 --> 00:18:20,280
+together بنستنتج أنه if x1 أصغر أو يساوي x2 then f
+
+193
+00:18:20,280 --> 00:18:23,660
+of x2
+
+194
+00:18:23,660 --> 00:18:32,800
+أصغر أو يساوي fof x واحد هذا فيضوء أن f prime of x
+
+195
+00:18:32,800 --> 00:18:37,220
+أصغر أو أشهر أو شفر لكل x element in I وهذا يعني
+
+196
+00:18:37,220 --> 00:18:50,740
+أن hence f is decreasing on mean on I واضح طيب
+
+197
+00:18:50,740 --> 00:18:58,280
+الآن بدنا نعرف حاجة اسمهاStrictly increasing
+
+198
+00:18:58,280 --> 00:19:04,300
+Strictly increasing قبل شوية قلتها أنه بنقول أن F
+
+199
+00:19:04,300 --> 00:19:09,140
+is strictly increasing إذا كانت اللي هي strictly
+
+200
+00:19:09,140 --> 00:19:14,600
+increasing بديش أمسح حد لإن أنا اللي بديه بعد شوية
+
+201
+00:19:14,600 --> 00:19:23,720
+خليني أمسح النظرية برهنة بيه أنا هو ماشي بدي بس من
+
+202
+00:19:23,720 --> 00:19:30,890
+الآن X بنقول Fis strictly increasing إيش معناته
+
+203
+00:19:30,890 --> 00:19:38,470
+إنه X هنا يكافئ إن X1 أصغر من X2 لل X1 وال X2 اللي
+
+204
+00:19:38,470 --> 00:19:46,790
+في I such that يؤدي F of X1 strictly أصغر من F of
+
+205
+00:19:46,790 --> 00:19:53,580
+X2 هذا يعني على بعضه إن F is strictlyincreasing
+
+206
+00:19:53,580 --> 00:19:58,440
+similarly for decreasing for strictly decreasing f
+
+207
+00:19:58,440 --> 00:20:04,360
+is strictly decreasing لما x1 أصغر من x2 تؤدي إلى
+
+208
+00:20:04,360 --> 00:20:10,160
+f of x1 أكبر strictly من مين من f of x2 هذا معناته
+
+209
+00:20:10,160 --> 00:20:16,640
+strictly أيش decreasing الآن السؤال اللي بطرحه
+
+210
+00:20:16,640 --> 00:20:23,380
+الآن هو بقولنيإن انت حكيت في حالة الـ increasing F
+
+211
+00:20:23,380 --> 00:20:27,980
+is increasing in I if and only if F' أصغر أوي
+
+212
+00:20:27,980 --> 00:20:31,960
+يساوي 0 لكل X element in I بقول لي هل هذا الكلام
+
+213
+00:20:31,960 --> 00:20:37,020
+بضل صحيح في حالة ال strictly increasing يعني لو
+
+214
+00:20:37,020 --> 00:20:43,480
+كانت بسأل السؤال لو كانت F is strictly
+
+215
+00:20:45,290 --> 00:20:49,790
+increasing او decreasing اللي بدك هي increasing او
+
+216
+00:20:49,790 --> 00:20:57,630
+decreasing هل هذا بيكون if and only if F prime of
+
+217
+00:20:57,630 --> 00:21:04,270
+X أصغر strictly من 0 لكل X element in I ولا لأ؟
+
+218
+00:21:04,270 --> 00:21:12,010
+الآن لو كان F prime أصغر strictly من 0 ل X element
+
+219
+00:21:12,010 --> 00:21:17,620
+in Iاللي هو الـ conversely هذا اللي هو بيعطينا F's
+
+220
+00:21:17,620 --> 00:21:22,620
+strictly decreasing يعني الاتجاه هذا متوقعين أنه
+
+221
+00:21:22,620 --> 00:21:27,500
+إحنا إيه شماله يكون صحيح يعني متوقعين أنه لو F
+
+222
+00:21:27,500 --> 00:21:31,520
+prime أصغر strictly من Zero لكل X element of I
+
+223
+00:21:31,520 --> 00:21:36,260
+يعطينا F's strictly أشماله decreasingوزيه برضه الـ
+
+224
+00:21:36,260 --> 00:21:41,580
+increasing لو كانت F' أكبر strictly من 0 بيعطينا F
+
+225
+00:21:41,580 --> 00:21:46,380
+is strictly increasing هذا متوقع أن يكون صحيح
+
+226
+00:21:46,380 --> 00:21:53,440
+والبرهان هيه موجود علّه لسه ما شطبطوش لسه الآن بدأ
+
+227
+00:21:53,440 --> 00:21:56,780
+افترض أنه بدل ما هي أكبر أصغر أو أسعار بدأ افترضها
+
+228
+00:21:56,780 --> 00:22:02,500
+أشمالهاStrictly أصغر ماشي الحال الان بفترض ان X1
+
+229
+00:22:02,500 --> 00:22:07,120
+أصغر من X2 و بطبق كل اللي عملته و لعند ال hand
+
+230
+00:22:07,120 --> 00:22:14,860
+بشطب هذا بالديشيا و بقف ال hand و بقولبما أنه هذا
+
+231
+00:22:14,860 --> 00:22:18,480
+المقدار f prime of c اللي هي f prime of x strictly
+
+232
+00:22:18,480 --> 00:22:22,840
+أصغر من 0 يعني مافي إمكانية أن تساوي 0 وهذا x2
+
+233
+00:22:22,840 --> 00:22:28,320
+ناقص x1 من هذا برضه strictly أكبر من 0 إذا صار هذا
+
+234
+00:22:28,320 --> 00:22:32,520
+عبارة عن strictly أصغر من 0 ولا يوجد إمكانية
+
+235
+00:22:32,520 --> 00:22:36,620
+للمساوية إذا بمعنى آخر صار هذا المقدار strictly
+
+236
+00:22:36,620 --> 00:22:40,680
+أصغر من هذا يعني لما كانت f prime أصغر strictly من
+
+237
+00:22:40,680 --> 00:22:45,770
+0 لكل x element in RI وجدنا إن X1 أصغر strictly من
+
+238
+00:22:45,770 --> 00:22:51,010
+X2 تؤدي F of X2 أصغر strictly من F of X1 وهذا يعني
+
+239
+00:22:51,010 --> 00:22:59,690
+strictly stick raising واضح، أه؟ الآن السؤال هل
+
+240
+00:22:59,690 --> 00:23:07,830
+the converse is true؟ هل the converse is true؟
+
+241
+00:23:07,830 --> 00:23:10,650
+الآن يعني
+
+242
+00:23:13,960 --> 00:23:21,020
+الاتجاه هذا صحيح لما يقول الاتجاه الثاني هذا need
+
+243
+00:23:21,020 --> 00:23:26,500
+not to be true in general بدنا نجيب مثال ان تكون F
+
+244
+00:23:26,500 --> 00:23:30,780
+strictly decreasing لكن ال F براي مش أصغر strictly
+
+245
+00:23:30,780 --> 00:23:37,120
+من مين؟ من 0 على I خد الآن F of Xبساو سالب X تكعيب
+
+246
+00:23:37,120 --> 00:23:42,220
+هذا الدالة هذا الدالة بنعمل reference مثل F of X
+
+247
+00:23:42,220 --> 00:23:47,120
+ساو سالب X تكعيب بالشكل هذا هذا الان strictly ايه
+
+248
+00:23:47,120 --> 00:23:54,800
+شمالها decreasing هذه F is strictly decreasing
+
+249
+00:23:55,740 --> 00:24:03,860
+لأن لو كانت X1 أصغر من X2 أكيد X1 تكعيب strictly
+
+250
+00:24:03,860 --> 00:24:13,420
+أكبر من X2 إيه شمالها تكعيب آسف ناقص مظبوط الانصار
+
+251
+00:24:13,420 --> 00:24:18,320
+عندي الآن يعني اللي هي ال F عندي أنا strictly
+
+252
+00:24:18,320 --> 00:24:23,770
+decreasingbut طبعاً على كل مين على كل ال I اللي
+
+253
+00:24:23,770 --> 00:24:27,090
+أخدت منها لها خد أي I من A لعند B من ناقص خمسة
+
+254
+00:24:27,090 --> 00:24:31,410
+مثلا لعند خمسة على الفترة اللي بدك إياها but F
+
+255
+00:24:31,410 --> 00:24:40,250
+prime عند اللي هو نقطة ال zero إيش بساوي بساوي سفر
+
+256
+00:24:40,250 --> 00:24:45,150
+إذا اللي هو ماعطنيش الشرط إن F prime أصغر من سفر
+
+257
+00:24:45,150 --> 00:24:51,290
+على كل النقاط ال X اللي وين في ال I واضح أهالان
+
+258
+00:24:51,290 --> 00:24:58,210
+معطيني معرفلي
+
+259
+00:24:58,210 --> 00:25:04,150
+اللي هو شو معناته طبعا احنا عرفنا ال increasing و
+
+260
+00:25:04,150 --> 00:25:09,670
+ال decreasing على ال interval لأنها مقارنة بالنقاط
+
+261
+00:25:09,670 --> 00:25:14,510
+فالان بقولي طب كيف؟ ايش رايكم؟ بدنا نحكي عن ال
+
+262
+00:25:14,510 --> 00:25:18,860
+increasing او ال decreasing عند نقطةالـ increasing
+
+263
+00:25:18,860 --> 00:25:21,640
+أو الـ decreasing و عنده ضغطة عموماً هذه الفلسفة
+
+264
+00:25:21,640 --> 00:25:26,360
+موجودة يعني في أكثر من مجال للتعريف في الرياضيات
+
+265
+00:25:26,360 --> 00:25:31,380
+في المناطق اللي ممكن اللي هو تحتاج أو في المفاهيم
+
+266
+00:25:31,380 --> 00:25:37,020
+اللي ممكن تحتاج لمنطقة لتعريفاللي هو المفهوم
+
+267
+00:25:37,020 --> 00:25:41,400
+المقصود بمنطقة زي الـ interval اللي قبل بشوية يعني
+
+268
+00:25:41,400 --> 00:25:48,200
+مش عند نقطة لأ عند منطقة فبصير التعريف اللي هو أن
+
+269
+00:25:48,200 --> 00:25:53,920
+يتحقق المفهوم في الجوار ده النقطة اللي مذكورة يعني
+
+270
+00:25:53,920 --> 00:25:59,120
+بنقول أنه النقطة C تتمتع بهذه الخاصية إذا تمتع
+
+271
+00:25:59,120 --> 00:26:03,940
+الجوار بهذه الخاصية هذا فلسفة التعريف فالآن بدنا
+
+272
+00:26:03,940 --> 00:26:04,260
+نقول
+
+273
+00:26:09,560 --> 00:26:14,260
+F من I لعند R اللي عبارة عن function أي إن كانت
+
+274
+00:26:14,260 --> 00:26:18,260
+الـ function هذه واخدنا
+
+275
+00:26:18,260 --> 00:26:28,780
+C element in I بدنا نعرف شو معنات عند النقطة C عند
+
+276
+00:26:28,780 --> 00:26:33,240
+النقطة C شو معنات F is increasing at this point
+
+277
+00:26:33,240 --> 00:26:40,880
+بدنا نشوف شو معنات F is increasingat C element in
+
+278
+00:26:40,880 --> 00:26:48,420
+I معناته انه there exist هذا يكافئ there exist V
+
+279
+00:26:48,420 --> 00:26:53,440
+Delta of C يعني U ده الجوار حوالين من الـ C هذا
+
+280
+00:26:53,440 --> 00:27:03,210
+الجوار C ناقص دلتا و C زائد دلتا ابحث ان تكون Fis
+
+281
+00:27:03,210 --> 00:27:08,770
+increasing on this جوار أو on this neighbourhood
+
+282
+00:27:08,770 --> 00:27:14,770
+إذا تحقق الشرط هذا معناته أنه بنقول عن الـ
+
+283
+00:27:14,770 --> 00:27:18,450
+function F أشمالها إنها increasing at the point
+
+284
+00:27:18,450 --> 00:27:23,090
+mean C يعني بمعنى آخر إذا تحقق اللي هو there
+
+285
+00:27:23,090 --> 00:27:29,870
+exists V Delta of C such that if X1 و X2 element
+
+286
+00:27:29,870 --> 00:27:42,110
+in V Delta of C withX1 أصغر من X2 أصغر
+
+287
+00:27:42,110 --> 00:27:49,350
+من X2 أصغر
+
+288
+00:27:49,350 --> 00:27:54,840
+من X2يعني اتحققت الخاصية أو الـ increasing في جوار
+
+289
+00:27:54,840 --> 00:27:58,120
+حول الـ C هذا معناته اللي هو مين؟ اللي هو
+
+290
+00:27:58,120 --> 00:28:01,820
+increasing similarly for strictly increasing ..
+
+291
+00:28:01,820 --> 00:28:07,000
+strictly increasing .. strictly increasing X1 أصغر
+
+292
+00:28:07,000 --> 00:28:11,160
+من X2 يؤد F of X1 strictly أصغر من F of X2 في هذا
+
+293
+00:28:11,160 --> 00:28:15,480
+الجوار similarly for اللي هو مين؟ decreasing و
+
+294
+00:28:15,480 --> 00:28:20,150
+strictly decreasing بما يتلقى أمهمالتلاقم معناته
+
+295
+00:28:20,150 --> 00:28:25,490
+X1 أصغر من X2 بيعطينا F of X1 أصغر أكبر أو يساوي F
+
+296
+00:28:25,490 --> 00:28:31,890
+of X2 لـ Decreasing للي بيكون Strictly أكبر منها
+
+297
+00:28:31,890 --> 00:28:39,410
+طيب .. الآن السؤال .. السؤال اللي بيقول ليه .. طيب
+
+298
+00:28:39,410 --> 00:28:49,320
+.. الآن أنت قلت أنه لو كانت F prime أكبر من 0f
+
+299
+00:28:49,320 --> 00:28:57,040
+prime of x أكبر من 0 لكل x element in I اللي
+
+300
+00:28:57,040 --> 00:29:05,200
+بيعطيني اللي هو f is strictly increasing صح ولا
+
+301
+00:29:05,200 --> 00:29:10,560
+لأ؟ قلنا هيك معايا لكن قلنا ال .. ال .. ال
+
+302
+00:29:10,560 --> 00:29:13,600
+converse need not to be true in general جبنا مثال
+
+303
+00:29:15,110 --> 00:29:18,590
+أف of X بسوء X تكعيب للـ increasing أو ناقص X
+
+304
+00:29:18,590 --> 00:29:23,690
+تكعيب لل decreasingماشي الحال .. الآن هو بقول طيب
+
+305
+00:29:23,690 --> 00:29:26,330
+لأ أنا بديش أسأله عن الاتجاه الثاني لإنه خلاص احنا
+
+306
+00:29:26,330 --> 00:29:29,990
+شفنا الاتجاه الثاني عند اللي هو ال interval مش
+
+307
+00:29:29,990 --> 00:29:35,450
+متحقق فالآن بقوللي أنا بدأ أسأل السؤال على اللي هي
+
+308
+00:29:35,450 --> 00:29:39,750
+.. اللي هو هذا السؤال اللي اتحقق في ال interval هل
+
+309
+00:29:39,750 --> 00:29:44,790
+بتحقق عنده النقطة؟ يعني بمعنى أخر لو كانت عندي a
+
+310
+00:29:44,790 --> 00:29:53,390
+February at c أكبر من 0هل هذا يؤدي أن f is
+
+311
+00:29:53,390 --> 00:30:03,070
+strictly increasing on c أو at c؟ هل هذا يؤدي أن
+
+312
+00:30:03,070 --> 00:30:06,090
+لو كانت f' of c أكبر من 0 هل يؤدي إلى أن f is
+
+313
+00:30:06,090 --> 00:30:09,910
+strictly increasing at c؟ بقول لك، this need not
+
+314
+00:30:09,910 --> 00:30:14,430
+to be true in general وهذا هو exercise عشرة اللي
+
+315
+00:30:14,430 --> 00:30:18,660
+معاكم homework اللي هو أعطاني function g of xبساوي
+
+316
+00:30:18,660 --> 00:30:23,120
+x زي 2x تربيع sin 1 علي x إذا كانت x بتساوي سفر و
+
+317
+00:30:23,120 --> 00:30:27,780
+0 إذا كانت x بتساوي سفر و بقول لي لو جيت فحصة ال G
+
+318
+00:30:27,780 --> 00:30:32,960
+prime عند ال zero هتلاقيها أشمالها بتساوي 1 ماشي
+
+319
+00:30:32,960 --> 00:30:37,320
+الحال يعني بتساوي واحد يعني strictly أكبر منين من
+
+320
+00:30:37,320 --> 00:30:44,050
+سفر butولا جوار، there is no neighbourhood around
+
+321
+00:30:44,050 --> 00:30:52,850
+zero in which F is increasingأه فشي دير جي is not
+
+322
+00:30:52,850 --> 00:30:56,850
+increasing in any neighborhood of x بتساوي سفر
+
+323
+00:30:56,850 --> 00:31:02,770
+والتفاصيل ان شاء الله لما في ال discussion لما
+
+324
+00:31:02,770 --> 00:31:06,550
+نعمل discussion اللي هو ال section اللي هو 6 2
+
+325
+00:31:06,550 --> 00:31:11,210
+وتجربوا تحلوه في البيت في حال انتوا ماعرفتوش تحلوه
+
+326
+00:31:11,210 --> 00:31:15,670
+بنحكي فيه بتفاصيله في ال discussion ان شاء الله
+
+327
+00:31:22,930 --> 00:31:27,050
+لأ الجوار هتلاقي اللي هو .. اللي هو .. اللي هو
+
+328
+00:31:27,050 --> 00:31:32,830
+مستحيل يعني تلاقي اللي هو جوار تكون X1 أصغر من X2
+
+329
+00:31:32,830 --> 00:31:37,150
+و تضمن أن F of X1 أصغر من F of X2 لكل واحدة بتحقق
+
+330
+00:31:37,150 --> 00:31:43,010
+ال X1 أصغر من X2 يعني هتلاقي نقاط هتلاقي هل جت V
+
+331
+00:31:43,010 --> 00:31:48,510
+Delta of C مثلا لأ كانت Delta بساوة C نقص Delta و
+
+332
+00:31:48,510 --> 00:31:53,690
+C زائد Deltaماشي الحال .. الآن هتلاقي أنه .. أنه
+
+333
+00:31:53,690 --> 00:31:59,090
+مستحيل يعني أنه في أي .. لو مهما زغرت المسافة
+
+334
+00:31:59,090 --> 00:32:05,110
+بينهم يتلاقي X1 أصغر من X2 تضمن يتلاقي أف of X1
+
+335
+00:32:05,110 --> 00:32:10,050
+أكبر أو يساوي أف of X2 في حالة ال decreasing أو
+
+336
+00:32:10,050 --> 00:32:13,690
+أصغر أو يساوي في حالة ال increasing أو اللي بنحكي
+
+337
+00:32:13,690 --> 00:32:16,770
+عنه أش ماله strictly increasing يعني هتلاقي نقاط
+
+338
+00:32:16,770 --> 00:32:21,030
+جانب بعضوحدة أكبر من التانية و very close .. very
+
+339
+00:32:21,030 --> 00:32:25,870
+close اللي هو .. و تكون .. اللي هو واحدة اللي هو
+
+340
+00:32:25,870 --> 00:32:30,970
+اتلاقيها أكبر و التانية اتلاقيها نقطش أخر اه .. اه
+
+341
+00:32:30,970 --> 00:32:34,230
+.. اه .. في .. اه .. في .. اتلاقيهم يعني ال .. ال
+
+342
+00:32:34,230 --> 00:32:37,630
+.. ال .. ال .. طبعا هو يمكن السبب بالذبذبحان لو
+
+343
+00:32:37,630 --> 00:32:43,710
+لاحظت هدي sign واحد على X فال X اللي هو بتساوي
+
+344
+00:32:43,710 --> 00:32:48,720
+اتنين .. واحد على اتنين on byأو 2 and by هتلاقي
+
+345
+00:32:48,720 --> 00:32:52,740
+اللي هي إيش بيعملك سفر و إيش بيعملك واحد في حالة
+
+346
+00:32:52,740 --> 00:32:55,920
+ال F of prime و في حالة ال F العادية فهيسببلك اللي
+
+347
+00:32:55,920 --> 00:33:01,180
+هو مش هتظلها اللي هي ال .. اللي هي ال .. ال .. ال
+
+348
+00:33:01,180 --> 00:33:08,300
+.. القيم .. قيم هتلاقيها مستحيل إن X1 أصغر من X2 و
+
+349
+00:33:08,300 --> 00:33:12,580
+تظلها على نفس المنوال F of X1 أصغر من F of X2 يعني
+
+350
+00:33:12,580 --> 00:33:18,070
+ممكن تلاقيه لك إنه جدتينclosed لجوه هتلاقي بتحققش
+
+351
+00:33:18,070 --> 00:33:26,150
+هذه يا بتحقق مسواء يا بتحقق الأصغر ولو لجيتلك
+
+352
+00:33:26,150 --> 00:33:30,510
+تنتين بحقق الأكبر هتلاقي برضه very closed إيش بحقق
+
+353
+00:33:30,510 --> 00:33:36,810
+الأصغر ان
+
+354
+00:33:36,810 --> 00:33:45,360
+شاء الله لما نحل السؤال بتتضح الأمور تماماهذا اللي
+
+355
+00:33:45,360 --> 00:33:54,900
+هو من ضمن الأسئلة اللي معاكم homework سألنا
+
+356
+00:33:54,900 --> 00:34:08,980
+سؤال اللي هو وين يمكن إيجاد ال relative maximum و
+
+357
+00:34:08,980 --> 00:34:13,430
+relative minimumو جاوبنا عليه في النظرية اللي
+
+358
+00:34:13,430 --> 00:34:17,230
+حكيناها في البداية أنه توجد عند أحد ثلاث مناطق F'
+
+359
+00:34:17,450 --> 00:34:21,370
+بيساوي سفر F' لاتساوي سفر لإنها في حالة ال
+
+360
+00:34:21,370 --> 00:34:26,410
+interior points أو اللي هو المكان الثالث اللي هو
+
+361
+00:34:26,410 --> 00:34:32,210
+ال end points الآن عشان نكمل الحديث عن ال maximum
+
+362
+00:34:32,210 --> 00:34:39,370
+و ال minimum بدنا نفحصنفحص هل النقاط هذه مين فيها
+
+363
+00:34:39,370 --> 00:34:43,910
+عندها maximum و في مين فيها عندها minimum و مين لا
+
+364
+00:34:43,910 --> 00:34:48,530
+عندها maximum ولا عندها minimum و هو ال test اللي
+
+365
+00:34:48,530 --> 00:34:54,410
+انتوا أخدتهوا في اللي هو سواء في الثانوية أو حتى
+
+366
+00:34:54,410 --> 00:34:59,330
+في calculus ألف و عشان نساعدكم على انكم تتذكروا
+
+367
+00:34:59,330 --> 00:35:05,620
+انا بفضل انه نتذكروا من خلال الرسم الفحصساعتها
+
+368
+00:35:05,620 --> 00:35:12,780
+بيكون سهل وبكون انت بتعرف اللي هو تحدد ان هذا
+
+369
+00:35:12,780 --> 00:35:17,020
+النقطة في عندها maximum أو عندها minimum خلينا
+
+370
+00:35:17,020 --> 00:35:22,420
+نستذكر نستذكر من خلال الرسم النظرية اللي بدنا
+
+371
+00:35:22,420 --> 00:35:26,160
+نحكيها الآن اللي أخدناها في الثانوية أو أخدناها
+
+372
+00:35:26,160 --> 00:35:30,850
+اللي هي تغيير إشارة أفر براياللي هو من موجب إلى
+
+373
+00:35:30,850 --> 00:35:35,450
+سالب أو من سالب إلى موجب الان نرسم واحدة Maximum
+
+374
+00:35:35,450 --> 00:35:39,210
+وواحدة Minimum هذه النقطة هذه طبعا Maximum بس تذكر
+
+375
+00:35:39,210 --> 00:35:43,190
+في النظرية قاعدة الان هذه النقطة C الجوار اللي
+
+376
+00:35:43,190 --> 00:35:51,710
+حوالها C زائد Delta وC ناقص Delta مظبوط؟ طيب الان
+
+377
+00:35:51,710 --> 00:35:57,430
+عند النقاط المنطقة هذه كلهالاحظ مين المماس إيه
+
+378
+00:35:57,430 --> 00:36:01,710
+شماله بس ما بعمل المماس زاوية حادة إذا مينه إيه
+
+379
+00:36:01,710 --> 00:36:10,970
+شماله موجب يعني F prime of X أكبر أو يساوي سفر لكل
+
+380
+00:36:10,970 --> 00:36:16,950
+X وين موجودة في الجوار V Delta of C من الجهة هذه
+
+381
+00:36:16,950 --> 00:36:23,710
+بالتحديد في المنطقة C minus Delta OC واضح، مفهوم
+
+382
+00:36:24,520 --> 00:36:31,040
+الآن الـ F' هنا أو ميل المماس هنا بيعمل .. أو
+
+383
+00:36:31,040 --> 00:36:36,080
+المماس بيعمل زاوية منفرجة إذا الـ F' عند النقاط
+
+384
+00:36:36,080 --> 00:36:40,480
+هذه اللي هي اللي في المنطقة هذه اللي هي بيكون أصغر
+
+385
+00:36:40,480 --> 00:36:45,660
+أو يساوي سفر لكل X وهي الموجودةC C زائد دلتا وهذا
+
+386
+00:36:45,660 --> 00:36:49,660
+اللي كنا نقول عنه إذا بتتغير إشارة ال derivative
+
+387
+00:36:49,660 --> 00:36:55,940
+حول النقطة C من موجب إلى سالب هذا على بعضه بيعطيني
+
+388
+00:36:55,940 --> 00:37:05,700
+أن F has a local أو relative maximum at meanالـ C
+
+389
+00:37:05,700 --> 00:37:11,420
+Similarly for the other هذه النقطة هان C اللي هي
+
+390
+00:37:11,420 --> 00:37:16,980
+المنمة ماضح عند ميل المناس جابلها سالب لإنه زاوية
+
+391
+00:37:16,980 --> 00:37:22,420
+منفرجة وراح لمين لموجة لإنها زاوية حادة يعني بمعنى
+
+392
+00:37:22,420 --> 00:37:29,680
+آخر F prime of X أصغر أو يساوي 0 لكل X في الـ V أو
+
+393
+00:37:29,680 --> 00:37:36,160
+الجزء من C ما نزلت لعين C فاهمين عليها؟هي C نقص
+
+394
+00:37:36,160 --> 00:37:43,880
+دلتة C وC لعن C زائد دلتة و F prime of X أكبر أو
+
+395
+00:37:43,880 --> 00:37:49,620
+سوى 0 لكل X والي موجودة من C لعن C زائد دلتة
+
+396
+00:37:49,620 --> 00:37:59,200
+هذولتين مع بعض بيعطينا أن F has local minimum أو
+
+397
+00:37:59,200 --> 00:38:05,850
+relative minimum at Cفصار عندى الآن يا جماعة اللى
+
+398
+00:38:05,850 --> 00:38:11,730
+هو ال test التحول شرط الدال ال derivative من موجب
+
+399
+00:38:11,730 --> 00:38:18,410
+إلى سلب local maximum هذه النقاط اللى احنا اخدناه
+
+400
+00:38:18,410 --> 00:38:22,790
+من النظرية السابقة طبعا بنحكي عن ال interior
+
+401
+00:38:22,790 --> 00:38:28,850
+points و Fاللي هي اتحولت F prime من سالب إلى موجب
+
+402
+00:38:28,850 --> 00:38:33,870
+local maximum هذه اللي هي معلومة توجيهي أو معلومة
+
+403
+00:38:33,870 --> 00:38:40,730
+اللي هو calculus ألف الآن احنا بدنا نثبت صحة هذا
+
+404
+00:38:40,730 --> 00:38:41,770
+الحديث
+
+405
+00:38:49,440 --> 00:38:53,520
+نجرها بس من عندنا هنا هي اللي قلته بس نجرها من
+
+406
+00:38:53,520 --> 00:38:57,520
+النظرية let f be continuous on the interval a و b
+
+407
+00:38:57,520 --> 00:39:01,080
+إذا إيش مخصر دين إن ال function is continuous على
+
+408
+00:39:01,080 --> 00:39:04,780
+فترة a و b و ناخد c عبارة عن interior point لمين
+
+409
+00:39:05,450 --> 00:39:10,090
+للـ I Assume that F is differentiable إيه ع الفترة
+
+410
+00:39:10,090 --> 00:39:13,430
+A وC وC وB يعني مش لزمني إنها تكون differentiable
+
+411
+00:39:13,430 --> 00:39:16,170
+عند الـ C أصلا ممكن تكون مش differentiable و هي
+
+412
+00:39:16,170 --> 00:39:21,290
+نقطة بدنا نبحث عندها بس بالزمن هذه اللي هي من A ل
+
+413
+00:39:21,290 --> 00:39:25,490
+C و من C ل B then الآن
+
+414
+00:39:26,890 --> 00:39:31,430
+إذا كان هناك مقارنة V Delta of C Subset من I بحيث
+
+415
+00:39:31,430 --> 00:39:35,110
+أن F' بتكون أكبر أو سوى 0 قبلها في الفترة اللي
+
+416
+00:39:35,110 --> 00:39:39,830
+قبل، اللي هو و F' اتحولت إلى أصغر أو سوى 0، يعني
+
+417
+00:39:39,830 --> 00:39:44,750
+اتحولت الإشارة من موجب إلى سالب في الفترة الأولى
+
+418
+00:39:44,750 --> 00:39:48,210
+للفترة الثانية، هيكون عند relative maximum زي ما
+
+419
+00:39:48,210 --> 00:39:54,260
+حكيناهاالان في الثانية نفس الاشي بس بالعكس if
+
+420
+00:39:54,260 --> 00:39:57,480
+there is a neighborhood اللي هو كذا such that F'
+
+421
+00:39:57,940 --> 00:40:02,160
+أصغر من سفر هيه اللي هو زاوية منفرجة اتحول لF'
+
+422
+00:40:02,540 --> 00:40:06,820
+أكبر من سفر هيه بيعطينا عندي ايش ماله relative
+
+423
+00:40:06,820 --> 00:40:14,040
+minimum طيب ده عندي A و عندي BM مبرهنة خليني نبرهن
+
+424
+00:40:14,040 --> 00:40:18,440
+مين؟ B خليني نشوف مبرهن مع بعض اللي هو B
+
+425
+00:40:29,950 --> 00:40:33,710
+شوفوا صلوا ع النادي عليه الصلاة والسلام الان بيه
+
+426
+00:40:33,710 --> 00:40:39,410
+اللي هو عندي F prime معطيني F prime of X أصغر أو
+
+427
+00:40:39,410 --> 00:40:47,170
+سوى سفر صح لكل X في الفترة C minus Delta وC
+
+428
+00:40:47,170 --> 00:40:49,710
+ومعطيني أيضا
+
+429
+00:40:52,140 --> 00:40:57,040
+اللي تحت أنا بحكي عن اللي تحت بيه ال .. البعدها F
+
+430
+00:40:57,040 --> 00:41:02,980
+prime of X أكبر أشهر و سفر لكل X وين موجودة في
+
+431
+00:41:02,980 --> 00:41:09,740
+الفترة من C لـC زائد إيش؟ لـC زائد دلتا الآن إيش
+
+432
+00:41:09,740 --> 00:41:14,560
+غاية أثبت أن F has a relative minimum؟ يعني بدي
+
+433
+00:41:14,560 --> 00:41:21,340
+أثبت أن F of Xأكبر الـ Minimum أصغر أكبر أو يساوي
+
+434
+00:41:21,340 --> 00:41:28,380
+F of C لكل X وين موجودة في V Delta of C إذا أثبتت
+
+435
+00:41:28,380 --> 00:41:32,200
+هذا الكلام معناته صار عند في Neighborhood حوالي ال
+
+436
+00:41:32,200 --> 00:41:37,140
+F عند ال C أصغر واحدة فيهم يعني في عندها relative
+
+437
+00:41:37,140 --> 00:41:42,560
+minimumاللي هو في المنطقة هذه هقولك إنها بتتحقق
+
+438
+00:41:42,560 --> 00:41:45,700
+هذه وفي المنطقة هذه بتتحقق هذه معناها تقول لكل
+
+439
+00:41:45,700 --> 00:41:49,100
+النقاط اللي هان لكل النقاط اللي هان هذه بتتحقق
+
+440
+00:41:49,100 --> 00:41:54,740
+معايا؟ والكلام إن شاء الله سهل الآن طبيعي إحنا
+
+441
+00:41:54,740 --> 00:41:58,920
+قاعدين في جوه ال mean value theorem فأكيد هذا
+
+442
+00:41:58,920 --> 00:42:02,440
+جايبينه في نفس ال section عساس إنه إحنا نطبق ال
+
+443
+00:42:02,440 --> 00:42:07,220
+mean value theorem عشان اللي هو إن نصل لنتائجنا
+
+444
+00:42:07,770 --> 00:42:14,790
+الان x element in c minus delta of c، مظبوط؟ اذا
+
+445
+00:42:14,790 --> 00:42:18,590
+صار عندى الان طبعا انا غاية ان اجيب اللى هو علاقة
+
+446
+00:42:18,590 --> 00:42:23,610
+بين f of c و f of x فالان ال x في الفترة هذه
+
+447
+00:42:23,610 --> 00:42:28,410
+معناته انه انا بدي اطبق ال mean value theorem على
+
+448
+00:42:28,410 --> 00:42:32,790
+ال x وعلى ال c الفترة اللى فيهم يعني بدي اقولكن
+
+449
+00:42:32,790 --> 00:42:40,940
+consider the interval x و meanOc XOC
+
+450
+00:42:41,980 --> 00:42:47,220
+الـ file الـ data continuous على X وC، ليش؟ لأن
+
+451
+00:42:47,220 --> 00:42:51,120
+continuous على كل ال interval A وB اللي من ضمنها C
+
+452
+00:42:51,120 --> 00:42:55,680
+إذن، هاي أول شرط متحقق لـ mean value theorem
+
+453
+00:42:55,680 --> 00:42:59,900
+وأيضاً F is differentiable على ال open اللي هي
+
+454
+00:42:59,900 --> 00:43:02,940
+مستثنية الـ C بس و اللي بالزمن في ال mean value
+
+455
+00:43:02,940 --> 00:43:08,060
+theorem بس ال open إذن الشرطين المتحققات على هذه
+
+456
+00:43:08,060 --> 00:43:14,470
+الفترة لمين؟للـ Mean Value Theorem إذا نطبق الـ
+
+457
+00:43:14,470 --> 00:43:18,730
+Mean Value Theorem على هذا الانترال لكي نحصل على
+
+458
+00:43:18,730 --> 00:43:27,890
+ذلك اللي هو F there exist CX element in X وC such
+
+459
+00:43:27,890 --> 00:43:38,850
+that F of CX فبرايم of CX بساوي F of C ناقصF of X
+
+460
+00:43:38,850 --> 00:43:48,870
+على X C نقص X اللي هو اللي بالذنب هذا أمور جهزة
+
+461
+00:43:48,870 --> 00:43:57,090
+ليش جهزة من هنا إذا F of C نقص F of X بساوي C
+
+462
+00:43:57,090 --> 00:44:04,760
+minus Xفى F prime of CX الـ CX هى دى وين موجودة فى
+
+463
+00:44:04,760 --> 00:44:10,760
+الـ X و C يعنى هنا مدام هنا حسب المعطى الـ F prime
+
+464
+00:44:10,760 --> 00:44:15,380
+اللى هيش ماله سالبة إذا هذا أصغر أو يساوي سفروهذا
+
+465
+00:44:15,380 --> 00:44:20,260
+أكبر أو يساوي صفر مع بعض إيه شماله؟ أصغر أو يساوي
+
+466
+00:44:20,260 --> 00:44:24,240
+صفر إذا صار عندي هذا أصغر أو يساوي صفر أو بمعنى
+
+467
+00:44:24,240 --> 00:44:31,560
+آخر F of C أصغر أو يساوي F of X لمين؟ لكل X في هذه
+
+468
+00:44:31,560 --> 00:44:36,440
+الفترة لأن X كانت arbitrary فيها Similarly for
+
+469
+00:44:36,440 --> 00:44:43,700
+اللي هو الجزء الثاني بتاخد الآن X وين موجودة؟في
+
+470
+00:44:43,700 --> 00:44:48,520
+الـ C لـ C زائد دلتا و برضه اللي عملته فوق حطب
+
+471
+00:44:48,520 --> 00:44:54,400
+جهانة بس عالميا على الفترة C O X و نفس الحديث
+
+472
+00:44:54,400 --> 00:44:57,580
+الأولاني F is continuous هلأ و differentiable على
+
+473
+00:44:57,580 --> 00:45:01,480
+ال open then there exist اللي هو by mean value
+
+474
+00:45:01,480 --> 00:45:06,780
+theorem there exist C X C prime X element in C O X
+
+475
+00:45:06,780 --> 00:45:20,440
+such that F prime of Cx' بساوة f of x ناقص f of c
+
+476
+00:45:20,440 --> 00:45:27,800
+على x minus c بساوة هذا و زي ما عملنا بالظبط اللي
+
+477
+00:45:27,800 --> 00:45:31,040
+هو بيصير عندي أضرب طرفين في وسطين بيصير هنا x
+
+478
+00:45:31,040 --> 00:45:37,060
+minus c و هذه بتطلع فوق فبصير عندي هذه x minus c
+
+479
+00:45:37,060 --> 00:45:44,680
+موجبة و هذه f prime cxاللي هو موجبة X minus C
+
+480
+00:45:44,680 --> 00:45:49,780
+موجبة مظبوط و F prime اللي هي أكبر أو سواء صفر
+
+481
+00:45:49,780 --> 00:45:53,780
+فبصير هذا المقدر كله على بعض أشماله أكبر أو سواء
+
+482
+00:45:53,780 --> 00:45:58,400
+صفر يعني هذا المقدر أكبر أو سواء إيش صفر يعني من
+
+483
+00:45:58,400 --> 00:46:05,820
+هنا بصير عند F of X أكبر أو سواء F of إيش of C هذا
+
+484
+00:46:05,820 --> 00:46:11,760
+الكلام صحيح برضه لمين لكل X هناالأن في الجهتين أي
+
+485
+00:46:11,760 --> 00:46:16,040
+إن كان طلعت ال F of C أصغر أو يساوي F of X أصغر أو
+
+486
+00:46:16,040 --> 00:46:21,640
+يساوي F of X لكل X وين موجودة هنا و هنا يعني بمعنى
+
+487
+00:46:21,640 --> 00:46:25,980
+آخر لكل X وين موجودة في ال neighborhood يعني صارت
+
+488
+00:46:25,980 --> 00:46:33,020
+F of X أكبر أو يساوي F of C لكل X في ال V Delta of
+
+489
+00:46:33,020 --> 00:46:41,440
+C وهذا يعني أن F has a local minimum at meanالـ C
+
+490
+00:46:41,440 --> 00:46:44,640
+أي سؤال
+
+491
+00:47:03,950 --> 00:47:07,150
+عندي the converse of the theorem اللي فوقني not to
+
+492
+00:47:07,150 --> 00:47:10,690
+be true in general وهذا اللي هو عبارة عن مين عن
+
+493
+00:47:10,690 --> 00:47:15,090
+exercise 9 برضه exercise 9 من ضمن ال homework اللي
+
+494
+00:47:15,090 --> 00:47:18,090
+معاكم اللي هنتحدث فيه ان شاء الله في ال discussion
+
+495
+00:47:18,090 --> 00:47:22,590
+الآن بعض التطبيقات الأخرى على ال mean value
+
+496
+00:47:22,590 --> 00:47:29,600
+theorem وهذا التطبيقبعض التطبيقات اللي هي علمين
+
+497
+00:47:29,600 --> 00:47:34,120
+value theory ممكن اشي اخدنا مشابه له في ال
+
+498
+00:47:34,120 --> 00:47:40,300
+calculus لكن خلينا نشوف هنا يعني اش اللي بيقوله
+
+499
+00:47:40,300 --> 00:47:47,700
+عندنا التطبيق الأول اللي
+
+500
+00:47:47,700 --> 00:47:54,080
+بيقوله ما هي ليه example example اللي هو
+
+501
+00:48:00,540 --> 00:48:12,120
+show that اكبر
+
+502
+00:48:12,120 --> 00:48:18,080
+او ساوي واحد زائد X لكل X element in R هذا واحد
+
+503
+00:48:18,080 --> 00:48:24,500
+اتنين اللي هو نفس ال W او A اللي هو E to the X
+
+504
+00:48:25,160 --> 00:48:33,500
+بساوي واحد زائد X F أندولي F X بتساوي سفر و proof
+
+505
+00:48:33,500 --> 00:48:42,480
+خلّينا نشوف أنبرهن هذا الأمر أو هذا الجزء طيب
+
+506
+00:48:42,480 --> 00:48:45,920
+بنناسبة أن E to the X أكبر بساوية واحد زائد X لكل
+
+507
+00:48:45,920 --> 00:48:47,880
+X way الموجودة في ال R
+
+508
+00:48:51,200 --> 00:48:55,040
+الان عندنا طبيعي حالة الـ X بتساوي صفر الـ Z باخد
+
+509
+00:48:55,040 --> 00:48:57,860
+الـ function مين انا عشان الرأس الدولة يعرف عن مين
+
+510
+00:48:57,860 --> 00:49:03,740
+بنحكي let F of X ايش هتساوي طبعا E to the X طبعا E
+
+511
+00:49:03,740 --> 00:49:09,120
+to the X معرف هو المكان الانفي حالة ال .. ال ..
+
+512
+00:49:09,120 --> 00:49:12,280
+الأول حاجة لو جينا طلعنا لحالة ال X بتساوي سفر
+
+513
+00:49:12,280 --> 00:49:18,000
+المساواة حادثة ولا لا it was a zero ليه واحد بساوي
+
+514
+00:49:18,000 --> 00:49:21,520
+واحد زائد زيرو اللي هو واحد يعني المساواة حادثة في
+
+515
+00:49:21,520 --> 00:49:25,120
+حالة ال .. ال X بتساوي زيرو الان خليني أخد ال X
+
+516
+00:49:25,120 --> 00:49:31,970
+أشمالها لاتساوي أيش؟ سفرالـ X لا تساوي سفر هثبتلك
+
+517
+00:49:31,970 --> 00:49:36,950
+إنه E to the X strictly أكبر من واحد زاد X بكون
+
+518
+00:49:36,950 --> 00:49:42,410
+خلصت هذه و خلصت هذه مع بعض افتمتين بنشوف كيف لأن X
+
+519
+00:49:42,410 --> 00:49:46,930
+لا تساوي Zero عندي حالتين X أكبر من سفر و X أصغر
+
+520
+00:49:46,930 --> 00:49:52,130
+من سفرالان f of x ده اللي هي من الدوال الحلوة اللي
+
+521
+00:49:52,130 --> 00:49:54,230
+differentiable everywhere إذا continuous
+
+522
+00:49:54,230 --> 00:49:56,830
+everywhere إذا ال mean value theorem على أي
+
+523
+00:49:56,830 --> 00:50:01,610
+interval أو sub interval منها من الار متحققة إذا x
+
+524
+00:50:01,610 --> 00:50:04,930
+أكبر من 0 معناته بتتخد أطبق ال mean value theorem
+
+525
+00:50:04,930 --> 00:50:10,910
+من عند ال zero لعند main ال x معايا إذا by mean
+
+526
+00:50:10,910 --> 00:50:16,490
+value theorem there exists element in zero x such
+
+527
+00:50:16,490 --> 00:50:25,720
+thatF prime of C بساوي F of X ناقص F of Zero على X
+
+528
+00:50:25,720 --> 00:50:30,400
+minus Zero، مظبوط ولا لأ؟ هذه اللي هي F prime of C
+
+529
+00:50:30,400 --> 00:50:34,120
+طبعا ال derivative للـE to the X هي نفسها عند الـC
+
+530
+00:50:34,120 --> 00:50:38,560
+في السير E to the Cوهذه اللي هي عبارة عن E to the
+
+531
+00:50:38,560 --> 00:50:41,900
+X F of Zero اللي هي E to the Zero اللي هي واحد
+
+532
+00:50:41,900 --> 00:50:46,860
+ناقص واحد على مين على X اضربوا طرفين في وساطين
+
+533
+00:50:46,860 --> 00:50:52,340
+فبصير E to the X ناقص واحد بساوي X في مين في E
+
+534
+00:50:52,340 --> 00:50:59,020
+أُسي ماشي الحالة الآنهذه الآن ال E to the C C
+
+535
+00:50:59,020 --> 00:51:05,100
+موجبة صح ال E to the C هتكون أكبر أو تساوي واحد ان
+
+536
+00:51:05,100 --> 00:51:09,120
+هي أكبر strictly من واحد في الواقع مظبوط E to the
+
+537
+00:51:09,120 --> 00:51:13,960
+C أكبر strictly من مين من الواحد الآن X في ال E to
+
+538
+00:51:13,960 --> 00:51:20,920
+the C هتكون أكبر strictly من مين من اللي هي ال Xمع
+
+539
+00:51:20,920 --> 00:51:24,880
+بعض الثنتين بيصير عندى E to the X أكبر من واحد
+
+540
+00:51:24,880 --> 00:51:31,860
+زائد مين زائد ال X الآن في حالة ال X أصغر من سفر
+
+541
+00:51:31,860 --> 00:51:36,600
+في حالة ال X أصغر من سفر بدنا نطبق على مين؟ على
+
+542
+00:51:36,600 --> 00:51:43,380
+الفترة اللي هي X و Zero مظبوط؟ على الفترة X و Zero
+
+543
+00:51:47,630 --> 00:51:53,510
+ب .. كله كله ماشي there exists c element in x و
+
+544
+00:51:53,510 --> 00:52:00,930
+zero such that أقول معايا f prime of c بسوى f of
+
+545
+00:52:00,930 --> 00:52:10,010
+zero نقص f of x على zero minus x هو يساوي واحد
+
+546
+00:52:10,010 --> 00:52:19,700
+minus x نقص e to the xعلى سالم X هذا إيش بيساوي E
+
+547
+00:52:19,700 --> 00:52:25,820
+to the C أضرب الطرفين في وسطين بيصير واحد ناقص E
+
+548
+00:52:25,820 --> 00:52:34,760
+to the X بيساوي ناقص X E to the C أضرب اللي هو في
+
+549
+00:52:34,760 --> 00:52:41,840
+ناقص واحد بيصير E to the X ناقص واحد بيساوي X في E
+
+550
+00:52:41,840 --> 00:52:50,110
+to the Cالان ال C سالبة مظبوط فبصير كسر فبصير عند
+
+551
+00:52:50,110 --> 00:52:56,150
+ال E to the C اللي هو ايش ماله اصغر من واحد فالان
+
+552
+00:52:56,150 --> 00:53:01,210
+لما نضرب ال X السالبة فيه ال X سالبة هنا فبصير
+
+553
+00:53:01,210 --> 00:53:08,110
+اكبر من مين من X فبصير
+
+554
+00:53:08,110 --> 00:53:12,350
+عند E to the X اكبر
+
+555
+00:53:13,170 --> 00:53:21,630
+من واحد زائد مين زائد X الآن صار عندي من الجهتين
+
+556
+00:53:21,630 --> 00:53:26,590
+لما X لا تساوي سفر E to the X strictly أكبر من
+
+557
+00:53:26,590 --> 00:53:32,590
+واحد زائد X إذا X لا تساوي سفر بتعني
+
+558
+00:53:43,580 --> 00:53:50,840
+E to the X أكبر strictly من واحد زائد X هذي واحد
+
+559
+00:53:50,840 --> 00:53:58,260
+الآن اتنين في حالة X بتساوي سفر هذا بيعطينا ان E
+
+560
+00:53:58,260 --> 00:54:03,480
+to the X بيساوي واحد زائد X والجهتين هيساوين واحد
+
+561
+00:54:03,480 --> 00:54:09,600
+واحد فE to the Zero واحد الآن الجهتين مع بعض هذولة
+
+562
+00:54:11,120 --> 00:54:15,880
+بتده لمّ الـ x لا تساوي 0 و الـ x بتساوي 0 يعني e
+
+563
+00:54:15,880 --> 00:54:19,740
+to the x بتاخد بعين الاعتبار المساواة هنا بيصير e
+
+564
+00:54:19,740 --> 00:54:24,740
+to the x أكبر و بيساوي 1 زياد x لكل x نين element
+
+565
+00:54:24,740 --> 00:54:29,120
+in R بالظبط في حالة x بتساوي صفر e to the x بتساوي
+
+566
+00:54:29,120 --> 00:54:33,520
+في حالة x لا تساوي صفر e to the x strictly أكبر
+
+567
+00:54:33,520 --> 00:54:40,750
+الآن هذا x بتساوي صفر يؤدي إلى هذاالـ Trivia زي ما
+
+568
+00:54:40,750 --> 00:54:45,510
+قلنا الان conversely بدنا نثبت هذا هذا أثبتناه في
+
+569
+00:54:45,510 --> 00:54:52,290
+الواقع كيف أثبتناه بدنا نقول بد أثبت الآن الاتجاه
+
+570
+00:54:52,290 --> 00:54:57,370
+هذا هذا الاتجاه اللي محيته اتجاه الـ Trivia اللي
+
+571
+00:54:57,370 --> 00:55:02,050
+سهل دل هذا هذا عشان أثبته بقول Contraposition لو
+
+572
+00:55:02,050 --> 00:55:07,480
+كانت X لا تساوي سفربيعطينا الـ E to the X لا يساوي
+
+573
+00:55:07,480 --> 00:55:12,080
+واحد زاد X ليش؟ لأنه أثبتته أنه strictly أكبر مزام
+
+574
+00:55:12,080 --> 00:55:15,920
+strictly أكبر إذا إيه أشماله؟ لا يساوي إذا صار
+
+575
+00:55:15,920 --> 00:55:23,420
+عندي اللي هو هذا وهذا متحققين الإثنين طيب نيجي
+
+576
+00:55:23,420 --> 00:55:30,920
+نيجي الآن لل example الثاني example معهود ومعروف
+
+577
+00:55:30,920 --> 00:55:36,860
+أو ننهي فيه المرة الجاية ان شاء اللهبنكمل باقي
+
+578
+00:55:36,860 --> 00:55:41,360
+اللي هي ال applications المرة دي ان شاء الله هنعمل
+
+579
+00:55:41,360 --> 00:55:46,780
+discussion في 6-1 يعني أصل 6-1 هنيجي ونحلهم و
+
+580
+00:55:46,780 --> 00:55:52,340
+بالإضافة ل .. اللي هو نكمل 6-2 هنكمل 6-2 و نعمل
+
+581
+00:55:52,340 --> 00:55:57,560
+discussion ل 6-1 طيب اللي مصل على سيدنا محمد
+
+582
+00:55:57,560 --> 00:56:05,210
+example التاني example اللي هو show thatshow that
+
+583
+00:56:05,210 --> 00:56:15,930
+show that show that sign ال X أكبر سوى سالب X و
+
+584
+00:56:15,930 --> 00:56:24,410
+أصغر سوى X for every X أكبر سوى 0 الغروف الآن
+
+585
+00:56:24,410 --> 00:56:28,990
+الدالة اللي بناحكيها عندها مين هي sign ال X هذه
+
+586
+00:56:28,990 --> 00:56:35,260
+letf of x بساوة صين الـ x وهذه continuous
+
+587
+00:56:35,260 --> 00:56:41,320
+everywhere و differentiable everywhere عند اللي هي
+
+588
+00:56:41,320 --> 00:56:47,160
+عند ال zero عند x بساوة zero ال trivial هذه بتتحقق
+
+589
+00:56:47,160 --> 00:56:50,900
+كtrivial لإن ده سفر و ده سفر و ده سفر، مظبوط؟ اللي
+
+590
+00:56:50,900 --> 00:56:57,660
+هنخد الآن forx أكبر من 100 من 0 بدنا نعمل
+
+591
+00:56:57,660 --> 00:57:01,560
+application أو we apply the mean value theorem on
+
+592
+00:57:01,560 --> 00:57:08,120
+the interval 0,100 أو x نظرا نتحقق الشروط بيكون
+
+593
+00:57:08,120 --> 00:57:14,500
+عند there exist c element in 0,x such that f prime
+
+594
+00:57:14,500 --> 00:57:24,510
+of c بيساوي f of x ناقص f of 0 على x minus 0F
+
+595
+00:57:24,510 --> 00:57:29,410
+prime of C هي عبارة عن Cos C لأن انتفاضه للـSin
+
+596
+00:57:29,410 --> 00:57:38,890
+Cos ويساوي F of X هي Sin X Sin 00 على X أضرب طرفين
+
+597
+00:57:38,890 --> 00:57:45,870
+في وسطين بيصير عندي Sin X بيساوي X في Cos C لكن
+
+598
+00:57:45,870 --> 00:57:54,420
+الآن أنا عندي Cos C محصورة butcos c محصورة بين
+
+599
+00:57:54,420 --> 00:58:01,660
+ناقص واحد وبين ash الواحد قل عند x أكبر من 0 اضرب
+
+600
+00:58:01,660 --> 00:58:08,600
+الجهتين في x بيصير هان x و هان x و هان x صح؟ الآن
+
+601
+00:58:08,600 --> 00:58:16,550
+x cos c هي sin x إذا صار عند sin xأظهر يساوي X
+
+602
+00:58:16,550 --> 00:58:22,050
+وأكبر أو يساوي سالب X هذا الأن لكل X لاتش أكبر من
+
+603
+00:58:22,050 --> 00:58:26,490
+صفر but for X بتساوي zero this is trivial إذا صار
+
+604
+00:58:26,490 --> 00:58:33,250
+صين ال X بين نقص X و X لكل X أكبر أو يساوي صفر و
+
+605
+00:58:33,250 --> 00:58:34,970
+المرة القادمة ان شاء الله
+
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gEcweaCqzlo.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gEcweaCqzlo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..eb5d0f0427a7b2c6bbe8fbae8d423d7ab6df49fe
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gEcweaCqzlo.srt
@@ -0,0 +1,1401 @@
+1
+00:00:04,930 --> 00:00:08,030
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,030 --> 00:00:13,610
+وبركاته إن شاء الله اليوم هنكون في مناقشة الفصل
+
+3
+00:00:13,610 --> 00:00:18,610
+الأول اللي كان يعني مقدمة عامة في الكيمياء في
+
+4
+00:00:18,610 --> 00:00:24,340
+مساق الكيمياء العامة للعلوم الصحية والهندسية طبعا
+
+5
+00:00:24,340 --> 00:00:29,320
+احنا اتكلمنا فيه عن المواد وعن المحاليل وفكرة
+
+6
+00:00:29,320 --> 00:00:32,340
+عامة عن أنواع المحاليل وشوية عن ال significant
+
+7
+00:00:32,340 --> 00:00:36,560
+figures ودرجات الحرارة والتحويل بينها كل هذه
+
+8
+00:00:36,560 --> 00:00:40,900
+الأمور ليش؟ لأن هو في نهاية فصل يعني مقدمة في
+
+9
+00:00:40,900 --> 00:00:46,370
+الكيمياء الآن لو جينا نشوف بعض الأسئلة في هذا الفصل
+
+10
+00:00:46,370 --> 00:00:53,090
+السؤال 113 بيقولنا classify يعني صنف each of the
+
+11
+00:00:53,090 --> 00:00:57,330
+following as a pure substance or a mixture يعني
+
+12
+00:00:57,330 --> 00:01:03,620
+صنف كل من الآتي كمادة نقية أو كخليط. F a mixed jar
+
+13
+00:01:03,620 --> 00:01:08,040
+وإذا كانت خليط indicate whether it is homogeneous
+
+14
+00:01:08,040 --> 00:01:12,540
+or heterogeneous واضح ليها هل هو خليط متجانس أو غير
+
+15
+00:01:12,540 --> 00:01:17,760
+متجانس الآن بيقول لي rice pudding rice pudding
+
+16
+00:01:17,760 --> 00:01:25,100
+يعني اللي بنسميها احنا المهلبية بالرز يعني مع
+
+17
+00:01:25,100 --> 00:01:29,980
+الحليب الرز والحليب إيش بنعتبره مركب نقي ولا خليط
+
+18
+00:01:29,980 --> 00:01:35,380
+it is a mixed jar هل هو homogenous؟ لأ طبعا لأنه
+
+19
+00:01:35,380 --> 00:01:40,760
+منفصل بيكون مبين الرز ومبين باقي المحلول فهو
+
+20
+00:01:40,760 --> 00:01:46,180
+عبارة عن خليط غير متجانس هو عبارة عن heterogeneous
+
+21
+00:01:46,180 --> 00:01:53,680
+mixture الفرع ب فيه ال sea water ماء البحر ماء البحر
+
+22
+00:01:53,680 --> 00:01:58,200
+من وين ما بتشرب فيه بتحسه مالح بنفس الطريقة هو
+
+23
+00:01:58,200 --> 00:02:03,640
+عبارة عن ماء فيه أملاح كتير إذا هو mixture و it is
+
+24
+00:02:03,640 --> 00:02:08,600
+a homogeneous mixture خليط متجانس يعني ما بفرجش من
+
+25
+00:02:08,600 --> 00:02:12,440
+أول البحر ولا من نص البحر تدوج الطعم هتلاقي نفس
+
+26
+00:02:12,440 --> 00:02:19,930
+الشيء بنفس النسبة من الأملاح في الميه الفرع C
+
+27
+00:02:19,930 --> 00:02:25,550
+المغنيسيوم المغنيسيوم عبارة عن مثل، معدن، يكون نقي،
+
+28
+00:02:25,550 --> 00:02:31,860
+it is a pure substance Number D Crushed Ice Crushed
+
+29
+00:02:31,860 --> 00:02:36,500
+يعني الثلج المجروش يعني بتكون حبات الثلج في ثلاجة
+
+30
+00:02:36,500 --> 00:02:41,920
+خصوصا بتعمل هذا ال crushed ice بيلزم في المختبرات
+
+31
+00:02:41,920 --> 00:02:47,760
+الكيميا للتبريد بيطلع حبيبات ثلج تقريبا مثل حبة
+
+32
+00:02:47,760 --> 00:02:53,320
+الحمص الآن هذا الثلج هو عبارة عن ماء ماء نقي
+
+33
+00:02:53,320 --> 00:03:00,700
+المفروض و إنه موجود على شكل ثلج مكسر فهو عبارة عن
+
+34
+00:03:00,700 --> 00:03:04,220
+pure substance يعني في نهاية الثلج هو عبارة عن
+
+35
+00:03:04,220 --> 00:03:13,540
+الماء الماء النقي السؤال الرابع عشان نفس
+
+36
+00:03:13,540 --> 00:03:16,920
+الفكرة.
+
+37
+00:03:16,920 --> 00:03:21,260
+صنف فيها الأشياء إما إنها pure mixture أو a pure
+
+38
+00:03:21,260 --> 00:03:24,580
+substance أو a mixture if a mixture indicate
+
+39
+00:03:24,580 --> 00:03:28,730
+whether it is homogeneous or heterogeneous يعني يا
+
+40
+00:03:28,730 --> 00:03:34,250
+مادة نقية يا مخلوط مخلوط بيكون homogeneous متجانس
+
+41
+00:03:34,250 --> 00:03:38,630
+أو heterogeneous غير متجانس بيسألني السؤال الأول
+
+42
+00:03:38,630 --> 00:03:45,960
+air الهواء الهواء عبارة عن مجموعة من الغازات
+
+43
+00:03:45,960 --> 00:03:49,720
+الموجودة بنسبة أكبر النيتروجين كأنه solvent فيه
+
+44
+00:03:49,720 --> 00:03:54,600
+أكسجين فيه ثاني أكسيد كربون فيه غازات ملوثات أخرى
+
+45
+00:03:54,600 --> 00:03:59,740
+لكن كله موجود بنفس النسبة وبناء على ذلك it is a
+
+46
+00:03:59,740 --> 00:04:06,710
+homogeneous mixture خليط متجانس فرع ب فيه tomato
+
+47
+00:04:06,710 --> 00:04:12,110
+juice عصير الطماطم طبعا عصير الطماطم احنا بنشوف
+
+48
+00:04:12,110 --> 00:04:16,450
+فيه البذور والمواد الصلبة وبناء على ذلك هو خليط
+
+49
+00:04:16,450 --> 00:04:20,830
+الحقيقة ليس مادة نقية خليط من مواد وهذا الخليط
+
+50
+00:04:20,830 --> 00:04:26,830
+heterogeneous mixture خليط غير متجانس الإنسان بيقدر
+
+51
+00:04:26,830 --> 00:04:31,330
+يميز بذور الطماطم بيقدر يميز الأشياء الصلبة القشور
+
+52
+00:04:31,330 --> 00:04:37,180
+فعصير الطماطم هو عبارة عن خليط غير متجانس أيوديني
+
+53
+00:04:37,180 --> 00:04:41,740
+كريستال بلورات اليود هذا عبارة عن مادة نقية pure
+
+54
+00:04:41,740 --> 00:04:47,260
+substance ال sand ال sand على فرض أنه فيه أشياء
+
+55
+00:04:47,260 --> 00:04:51,280
+كتيرة غير ثاني أكسيد السيليكون يعني الإنسان بده
+
+56
+00:04:51,280 --> 00:04:55,480
+يفكر هل هو بيقصد بس ثاني أكسيد السيليكون ولا
+
+57
+00:04:55,480 --> 00:05:00,110
+الصخور والمركبات الكتيرة غالبا معظم الرمل فيه كتير
+
+58
+00:05:00,110 --> 00:05:04,710
+ملوثات ومركبات كتيرة وعشان هي الأصح نعتبره mixture
+
+59
+00:05:04,710 --> 00:05:09,450
+و heterogeneous mixture يعني احنا ما بنكونش ناخد بس
+
+60
+00:05:09,450 --> 00:05:13,930
+اللي هي ثاني أكسيد السيليكون الأساسي لكن الرمل
+
+61
+00:05:13,930 --> 00:05:18,750
+مخلوط من أشياء كتيرة أو أوساخ وما إلى ذلك فخليني
+
+62
+00:05:18,750 --> 00:05:25,190
+أعتبره heterogeneous mixture سؤال
+
+63
+00:05:25,190 --> 00:05:32,730
+واحد وعشرين Label each of the following as either a
+
+64
+00:05:32,730 --> 00:05:37,610
+physical process or a chemical process طبعا ال
+
+65
+00:05:37,610 --> 00:05:41,190
+chemical process اللي بيحصل فيه تفاعل بيغير المادة
+
+66
+00:05:41,190 --> 00:05:45,110
+ال physical process المادة بتتغير ممكن من حالة
+
+67
+00:05:45,110 --> 00:05:50,770
+لحالة من صلب لسائل لغاز ممكن تسخن ممكن تبرد لكن
+
+68
+00:05:50,770 --> 00:05:57,010
+ما فيش تغير في جوهر المادة واضح؟ الآن التفاعل هو
+
+69
+00:05:57,010 --> 00:06:02,690
+يغير جوهر المادة ومكون المادة الأساسي فبيقول ليه؟
+
+70
+00:06:02,690 --> 00:06:05,670
+شوف لهذه التغيرات هل هي chemical أو physical
+
+71
+00:06:05,670 --> 00:06:13,410
+process Rusting of a metal can يعني عملية صدأ علبة
+
+72
+00:06:13,410 --> 00:06:20,040
+أو عبوة من الصفيح طبعا الصدأ هو عبارة عن تفاعل
+
+73
+00:06:20,040 --> 00:06:26,320
+كيميائي هل الحديد بيبقى حديد بكل خواص المعدن ولا
+
+74
+00:06:26,320 --> 00:06:30,280
+الحديد اللي بيلمع وكويس بيصير عبارة عن مادة أكسيد
+
+75
+00:06:30,280 --> 00:06:35,540
+الحديد ومادة هشة بتختلف إذا هنا عبارة عن تفاعل
+
+76
+00:06:35,540 --> 00:06:40,040
+حديد صار أكسيد حديد وبناء على ذلك هذه عبارة عن
+
+77
+00:06:40,040 --> 00:06:46,020
+chemical process الفرع ب Boiling a cup of water
+
+78
+00:06:46,020 --> 00:06:49,880
+تسخين فنجان من الميه يا ترى لو الميه كانت
+
+79
+00:06:49,880 --> 00:06:55,000
+حرارتها عشرين وسخنت أنا لخمسة وتلاتين هل اتغير
+
+80
+00:06:55,000 --> 00:06:59,620
+جوهر الميه؟ لأ عشان إيه كان ده physical process
+
+81
+00:06:59,620 --> 00:07:03,860
+مش chemical process الميه ما زالت كمية ميه لكن
+
+82
+00:07:03,860 --> 00:07:11,060
+سخنه الفرع C is Pulverizing an Aspirin يعني لو جيبت
+
+83
+00:07:11,060 --> 00:07:15,760
+حبة Aspirin وطحنتها وخلتها ك powder الآن ال
+
+84
+00:07:15,760 --> 00:07:19,580
+Aspirin ما زال Aspirin ما تغير تركيبه الكيميائي
+
+85
+00:07:19,580 --> 00:07:24,360
+فهذا فرع C عبارة أيضا عن physical process
+
+86
+00:07:26,730 --> 00:07:33,630
+فرع دي Digesting a candy bar عملية الهضم عملية
+
+87
+00:07:33,630 --> 00:07:38,850
+بيتحول المركبات وبيبدأ اللي هو التمثيل الغذائي
+
+88
+00:07:38,850 --> 00:07:42,810
+وبناء على ذلك عملية الهضم هي عملية كيميائية
+
+89
+00:07:43,330 --> 00:07:46,650
+المركب نفسه بتفكك لأشياء تانية أو بتحول لأشياء
+
+90
+00:07:46,650 --> 00:07:51,690
+تانية فالـ Digesting a candy bar يعني إنسان مسك
+
+91
+00:07:51,690 --> 00:08:00,330
+يعني نوع من الحلويات قطعة من الحلويات وهضمها هذا
+
+92
+00:08:00,330 --> 00:08:04,270
+عبارة عن chemical process Exploding of
+
+93
+00:08:04,270 --> 00:08:08,390
+Nitroglycerin طبعا في الانفجار المادة المتفجرة
+
+94
+00:08:08,390 --> 00:08:11,830
+بتتحول إلى غازات وهي اللي بتعمل الضغط وبتسبب
+
+95
+00:08:11,830 --> 00:08:16,230
+الهدم طبعا مادة صلبة صارت غازات إذا أنا ده عبارة
+
+96
+00:08:16,230 --> 00:08:20,170
+عن التحول الكيميائي it is a chemical process
+
+97
+00:08:22,670 --> 00:08:28,110
+نشوف سؤال 22 نفس الشيء نفس الفكرة بيسأل عن نفس
+
+98
+00:08:28,110 --> 00:08:32,110
+الموضوع ال physical وال chemical process بيقول a
+
+99
+00:08:32,110 --> 00:08:37,250
+match is lit يعني ولعنا عود ثقاب أو عود كبريت زي
+
+100
+00:08:37,250 --> 00:08:41,870
+ما بنسميه and held under a cold piece of metal
+
+101
+00:08:41,870 --> 00:08:46,690
+يعني ولعنا عود ثقاب وحطينا تحت قطعة من المعدن لأن
+
+102
+00:08:46,690 --> 00:08:51,390
+قطعة المعدن بدأت تسخن التسخين هذا عبارة عن physical
+
+103
+00:08:51,390 --> 00:08:54,590
+process ما تغيرت المادة يعني الحديد لما بيسخن
+
+104
+00:08:54,590 --> 00:08:59,710
+بيعود يبرد ما بيتغير كمادة واضح؟ the following
+
+105
+00:08:59,710 --> 00:09:03,150
+observations are made صارت عندنا ملاحظات التالية
+
+106
+00:09:03,150 --> 00:09:07,690
+the match burns عود الكبريت لما ينحرق ويتحول إلى
+
+107
+00:09:07,690 --> 00:09:12,910
+مواد أخرى وإلى دخان وإلى ثاني أكسيد الكربون عملية
+
+108
+00:09:12,910 --> 00:09:18,400
+الاحتراق هذه is a chemical process نمبر ب فيه المعدن
+
+109
+00:09:18,400 --> 00:09:24,580
+يتحرر المعدن المعدنية.
+
+110
+00:09:24,580 --> 00:09:29,220
+سخنت التسخين عملية فيزيائية لم تتغير فيها المادة
+
+111
+00:09:29,220 --> 00:09:36,500
+عشانك ب فيه هو اتشانج فيزيائي المعدن يتحرر المعدن لو
+
+112
+00:09:36,500 --> 00:09:45,470
+كان عندي ماء واتكثف على سطح المعدن في النهاية سواء
+
+113
+00:09:45,470 --> 00:09:50,630
+كان بخار سواء كان سائل سواء كان صلب ثلج يعني ice
+
+114
+00:09:50,630 --> 00:09:55,950
+هو نفس المادة فأي تغير بين الحالات is a physical
+
+115
+00:09:55,950 --> 00:10:00,790
+process تغير سواء بالانصهار أو بالتكثيف هو عبارة
+
+116
+00:10:00,790 --> 00:10:07,310
+عن physical process نمبر دي سوط اللي هو الدخان
+
+117
+00:10:07,310 --> 00:10:12,530
+الأسود اللي بيطلع هذا اللي هو ال carbon وبيترسب و
+
+118
+00:10:12,530 --> 00:10:16,470
+دايما تشوفوا لما بنسخن بيصير عندنا سواد وبالذات
+
+119
+00:10:16,470 --> 00:10:21,870
+لما بنشوي بالفحم وغيره Soot اللي هو عبارة عن
+
+120
+00:10:21,870 --> 00:10:26,370
+carbon is deposited on the metal يعني لما أنا ولعت
+
+121
+00:10:26,370 --> 00:10:31,730
+عودي الكبريت لاحظت إن المعدن صار عليه سواد عبارة
+
+122
+00:10:31,730 --> 00:10:39,400
+عن carbon من عودي الثقاب هذا الآن هذا ال carbon هو
+
+123
+00:10:39,400 --> 00:10:44,120
+عبارة عن ناتج عملية احتراق ناتج تفاعل كيميائي يعني
+
+124
+00:10:44,120 --> 00:10:49,680
+عود الخشب ما كانش أساسا carbon كان هو عبارة عن الخشب
+
+125
+00:10:49,680 --> 00:10:54,900
+اللي هو ال cellulose وما إلى ذلك بالاحتراق فقد
+
+126
+00:10:54,900 --> 00:10:58,700
+الماء وصار عبارة عن carbon إذا هذا عبارة عن
+
+127
+00:10:58,700 --> 00:11:00,600
+chemical process
+
+128
+00:11:07,000 --> 00:11:11,860
+السؤال 31 الحقيقة بيعتمد على جدول الاختصارات
+
+129
+00:11:11,860 --> 00:11:15,380
+بإمكان أي طالب يرجع بسهولة للجدول اللي موجود في
+
+130
+00:11:15,380 --> 00:11:19,920
+الشرح ويشوف إيش معنى هذه الاختصارات what
+
+131
+00:11:19,920 --> 00:11:22,380
+exponential notation do the following
+
+132
+00:11:22,380 --> 00:11:28,080
+abbreviations represent يعني ال D هي عبارة عن ال
+
+133
+00:11:28,080 --> 00:11:35,290
+Dc ال C الصنتي ال F الفيمتو ال Mu ال Micro عشرة
+
+134
+00:11:35,290 --> 00:11:38,950
+أس ناقص ستة ال M الميجا عشرة أس ستة ال K
+
+135
+00:11:38,950 --> 00:11:42,970
+الكيلو عشرة أس تلاتة ال N النانو عشرة أس ناقص
+
+136
+00:11:42,970 --> 00:11:47,930
+تسعة ال M الميلي عشرة أس ناقص تلاتة ال P البيكو
+
+137
+00:11:47,930 --> 00:11:52,250
+عشرة أس ناقص اتناشر هذه كل الاختصارات وإيش بتساوي
+
+138
+00:11:52,250 --> 00:11:55,810
+موجود الحقيقة في الجدول اللي عندكم.
+
+139
+00:11:58,600 --> 00:12:03,480
+بعد ذلك يأتي بسؤالنا بيقولنا use appropriate
+
+140
+00:12:03,480 --> 00:12:06,800
+metric prefixes to write the following
+
+141
+00:12:06,800 --> 00:12:12,260
+measurements without use of exponents يعني هو بده
+
+142
+00:12:12,260 --> 00:12:18,960
+يعطينا مقياس ممكن ناخد واحد منهم هذا المقياس فيه
+
+143
+00:12:18,960 --> 00:12:23,500
+exponent يعني فيه مرفوع للقوة كذا يعني مثلا لو
+
+144
+00:12:23,500 --> 00:12:28,360
+احنا اجينا اخذنا الفرع أيه؟ two point three في عشرة
+
+145
+00:12:28,360 --> 00:12:35,760
+أس ناقص عشرة من ال letter الآن أنا بدي اختصر هذه
+
+146
+00:12:35,760 --> 00:12:39,840
+من خلال إن استعمل أحد الاختصارات اللي هنا وأحصل
+
+147
+00:12:39,840 --> 00:12:43,900
+على جواب ما فيش فيه هذا ال exponent اللي هي العشرة
+
+148
+00:12:43,900 --> 00:12:51,480
+أس ناقص عشرة من ال letter الآن Use Appropriate
+
+149
+00:12:51,480 --> 00:12:54,880
+Metric Prefixes استعمل اختصارات معينة من اللي
+
+150
+00:12:54,880 --> 00:13:00,960
+اتعلمناها بحيث تكتب هذا القياس بدون هذا الكلام.
+
+151
+00:13:00,960 --> 00:13:06,220
+الآن باختصار احنا بدنا نيجي نقول إيش أقرب شيء
+
+152
+00:13:06,220 --> 00:13:13,090
+لعشرة أس ناقص عشرة أقرب شيء لعشرة أس ناقص عشرة
+
+153
+00:13:13,090 --> 00:13:18,330
+اللي هي مثلا ممكن نقول العشرة أس ناقص تسعة لما بدي
+
+154
+00:13:18,330 --> 00:13:26,020
+العشرة أس ناقص تسعة أنا بقول ال nano ال nano لتر هو
+
+155
+00:13:26,020 --> 00:13:32,280
+عبارة عن واحد في عشرة أس ناقص تسعة من اللتر واضح؟
+
+156
+00:13:32,280 --> 00:13:37,680
+فلو أنا استعملت زي هيك وعملت عملية ضرب بسيطة هتروح
+
+157
+00:13:37,680 --> 00:13:40,820
+العشرة أس ناقص تسعة مع جزء من ال hand بيبقى العشرة
+
+158
+00:13:40,820 --> 00:13:46,580
+أس ناقص واحد بصفة الجواب point two three وشطبنا
+
+159
+00:13:46,580 --> 00:13:50,860
+ال letter مع ال letter point two three nano liter.
+
+160
+00:13:52,380 --> 00:13:58,420
+وكلّهم من ناحية المبدأ بنحلهم بنفس الطريقة يعني أنا
+
+161
+00:13:58,420 --> 00:14:03,340
+بدي أشوف أي conversion factor يشطب لهذا الأس هنا
+
+162
+00:14:03,340 --> 00:14:07,440
+ما كانش عندي بالظبط عشرة أس ناقص عشرة في عند العشرة
+
+163
+00:14:07,440 --> 00:14:11,320
+أس ناقص تسعة اللي هي ال nano liter بتساوي واحد في
+
+164
+00:14:11,320 --> 00:14:14,680
+عشرة أس ناقص تسعة من ال liter شطبنا ال liter مع ال
+
+165
+00:14:14,680 --> 00:14:17,520
+liter عشرة أس ناقص تسعة مع عشرة أس ناقص تسعة من
+
+166
+00:14:17,520 --> 00:14:25,320
+هنا ونجلنا الفاصلة درجة بيطلع الجواب نشوف كمان واحدة
+
+167
+00:14:25,320 --> 00:14:30,520
+منهم مثلا
+
+168
+00:14:30,520 --> 00:14:38,410
+لو بدوا ال 4.7 في 10 أس ناقص 6 جرام 4.7 في عشرة
+
+169
+00:14:38,410 --> 00:14:43,290
+أس ناقص الستة جرام الآن إيش القياس اللي أنا عندي
+
+170
+00:14:43,290 --> 00:14:48,930
+بالنسبة للعشرة أس ناقص الستة اه أنا عندي الواحد
+
+171
+00:14:48,930 --> 00:14:55,850
+micro gram بتساوي عشرة أس ناقص ستة milligram واضح؟
+
+172
+00:14:56,580 --> 00:15:00,540
+بتساوي عشرة أس ناقص ستة ميلي جرام بناء على ذلك لو
+
+173
+00:15:00,540 --> 00:15:04,140
+احنا شطبنا جرام مع جرام العشرة أس ناقص الستة مع
+
+174
+00:15:04,140 --> 00:15:10,830
+العشرة أس ناقص الستة هذه عبارة عن نفس 4.7 4.7
+
+175
+00:15:10,830 --> 00:15:16,910
+microgram يعني نفس ال 4.7 في عشرة أس ناقص الستة
+
+176
+00:15:16,910 --> 00:15:21,310
+جرام أنا ممكن أعبر عنها بطريقة أجمل أقول هي نفسها
+
+177
+
+201
+00:17:28,880 --> 00:17:32,980
+سنتيجريت اثنين وسبعين بتساوي تسعة على خمسة في ال
+
+202
+00:17:32,980 --> 00:17:38,000
+degree centigrade زائد اثنين وثلاثين لو عملنا هذه
+
+203
+00:17:38,000 --> 00:17:40,780
+الحسابات نجلنا الاثنين والثلاثين هنا ضربناها
+
+204
+00:17:40,780 --> 00:17:44,340
+بخمسة وجسمناها على تسعة بتطلع ال degree centigrade
+
+205
+00:17:44,340 --> 00:17:48,600
+اثنين وعشرين واثنين من عشرة واضح؟ وكلّه بنفس
+
+206
+00:17:48,600 --> 00:17:53,420
+المنطق والـ Kelvin للـ degree centigrade أسهل كثير و
+
+207
+00:17:53,420 --> 00:17:59,770
+الإجابات موجودة عندنا نفس الشيء تماماً السؤال اللي
+
+208
+00:17:59,770 --> 00:18:05,410
+بعده بيقول لي the temperature of a warm summer day
+
+209
+00:18:05,410 --> 00:18:10,490
+يعني يوم صيف حار الحرارة سبعة وثمانين degrees
+
+210
+00:18:10,490 --> 00:18:13,790
+Fahrenheit بدي أعوضها أن سبعة وثمانين degrees
+
+211
+00:18:13,790 --> 00:18:18,750
+Fahrenheit تسعة على خمسة degrees centigrade زي
+
+212
+00:18:18,750 --> 00:18:23,350
+اثنين وثلاثين جداش بتكون هذا اليوم حرارته هذا
+
+213
+00:18:23,350 --> 00:18:27,010
+اليوم حرارته thirty point six degrees centigrade
+
+214
+00:18:27,010 --> 00:18:31,520
+يعني لما نعوض بيظل عندي degrees centigrade وعشان
+
+215
+00:18:31,520 --> 00:18:35,880
+هيك بدؤوا الإنسان يكون عارف يعني احنا في بلادنا لما
+
+216
+00:18:35,880 --> 00:18:40,660
+بنقول الحرارة ثلاثين تقريباً بتكون بأمريكا اللي
+
+217
+00:18:40,660 --> 00:18:44,760
+بيستعملوا مقياس الـ Fahrenheit سبعة وثمانين
+
+218
+00:18:44,760 --> 00:18:48,240
+degrees Fahrenheit what is the temperature in
+
+219
+00:18:48,240 --> 00:18:50,840
+degrees centigrade حسبناها السبعة والثمانين هي
+
+220
+00:18:50,840 --> 00:18:57,040
+الثلاثين الآن بيسألنا سؤال ثاني بيهم معظم المعلومات
+
+221
+00:18:57,040 --> 00:19:01,120
+العلمية تم تفجيرها لـ 25 دقائق دقائق دقائق دقائق
+
+222
+00:19:01,120 --> 00:19:02,040
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+223
+00:19:02,040 --> 00:19:03,740
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+224
+00:19:03,740 --> 00:19:06,040
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+225
+00:19:06,040 --> 00:19:08,380
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+226
+00:19:08,380 --> 00:19:13,400
+دقائق دقائق
+
+227
+00:19:13,400 --> 00:19:13,760
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+228
+00:19:13,760 --> 00:19:20,980
+دقائق دقائق دقائق دقائق دقائق
+
+229
+00:19:22,920 --> 00:19:27,920
+بنقدر نحسب جداش بتساوي بالفهرينهايت بتطلع سبعة و
+
+230
+00:19:27,920 --> 00:19:31,900
+سبعين فهرينهايت الآن الخمسة والعشرين نفسها لما
+
+231
+00:19:31,900 --> 00:19:36,120
+يقولها لي بالكلفن مائتين وثلاثة وسبعين زائد خمسة
+
+232
+00:19:36,120 --> 00:19:41,200
+وعشرين مائتين وثمانية وتسعين فالعمليات سهلة و
+
+233
+00:19:41,200 --> 00:19:47,980
+نفس الشيء تحويلات الفرع C و D هم هذول العلاقات
+
+234
+00:19:47,980 --> 00:19:51,580
+بدنا نستعملهم أكثر من مرة عشان نتدرب على عملية
+
+235
+00:19:51,580 --> 00:19:52,620
+التحويل
+
+236
+00:19:55,820 --> 00:20:03,600
+سؤال خمسة وأربعين يبدو هذا السؤال في موضوع الـ
+
+237
+00:20:03,600 --> 00:20:30,960
+Significant Figures
+
+238
+00:20:31,060 --> 00:20:37,000
+فرع C الصفر اللي في الوسط والصفر اللي على يمين
+
+239
+00:20:37,000 --> 00:20:41,160
+الفاصلة يُحتسب إذا واحد اثنان ثلاثة أربعة خمس خمس
+
+240
+00:20:41,160 --> 00:20:46,560
+significant figures الفرع D الصفر اللي على لتحديد
+
+241
+00:20:46,560 --> 00:20:50,780
+موقع الفاصلة لا يُحتسب اللي في النص يُحتسب إذا دول
+
+242
+00:20:50,780 --> 00:20:56,940
+ثلاثة significant figures الفرع E الصفر اللي في
+
+243
+00:20:56,940 --> 00:21:00,420
+النص واللي على يمين الفاصلة كلّه يُحتسب إذا أنا
+
+244
+00:21:00,420 --> 00:21:02,960
+أقول واحد اثنان ثلاثة أربعة خمس significant
+
+245
+00:21:02,960 --> 00:21:08,220
+figures الأربعة مية الحقيقة طالما ما في فاصلة بس
+
+246
+00:21:08,220 --> 00:21:12,600
+بنحتسب one significant figure لو كتب لي فاصلة بيصير
+
+247
+00:21:12,600 --> 00:21:16,960
+يُحتسب three significant figures لو كتب لي فاصلة و
+
+248
+00:21:16,960 --> 00:21:20,220
+بعدها صفر بيصير يُحتسب four significant figures لكن
+
+249
+00:21:20,220 --> 00:21:24,560
+بهذا الشكل بدون فاصلة بس بعتبر one significant
+
+250
+00:21:24,560 --> 00:21:24,980
+figure
+
+251
+00:21:30,690 --> 00:21:37,040
+السؤال اللي بعده بيقول لي اعمل تقريب معين around
+
+252
+00:21:37,040 --> 00:21:40,020
+each of the following numbers to four significant
+
+253
+00:21:40,020 --> 00:21:42,300
+figures يعني بدي يكون عندي four significant
+
+254
+00:21:42,300 --> 00:21:45,640
+figures and express the result in standard
+
+255
+00:21:45,640 --> 00:21:48,520
+exponential notation لما يقول لي standard
+
+256
+00:21:48,520 --> 00:21:51,900
+exponential notation يعني أنا بدي أحط رقم واحد
+
+257
+00:21:51,900 --> 00:21:56,520
+بعدين فاصلة وبعدين أضرب في عشرة أس سواء موجب أو
+
+258
+00:21:56,520 --> 00:22:06,810
+سالم فلما نجي مثلاً على الفرع A 102.53070
+
+259
+00:22:06,810 --> 00:22:12,750
+لأن هذا بداية لما أدخل بالـ scientific notation بدي
+
+260
+00:22:12,750 --> 00:22:19,630
+أنجل بعد رقم واحد بدي أقول 1.0253070
+
+261
+00:22:19,630 --> 00:22:23,810
+في عشرة أس اثنين طالما تحركت للشمال بدي أضرب في
+
+262
+00:22:23,810 --> 00:22:26,690
+عشرة أس اثنين الآن هو يطالب مني كم significant
+
+263
+00:22:26,690 --> 00:22:32,400
+figure أربعة هي واحد اثنان ثلاثة أربعة أنا بدي
+
+264
+00:22:32,400 --> 00:22:36,800
+لحدّها أنه الآن لو جئت أقرب هذا ما بتقربش إذا الجواب
+
+265
+00:22:36,800 --> 00:22:43,600
+حيصير عندي one point oh two five في عشرة أس اثنين
+
+266
+00:22:43,600 --> 00:22:52,740
+واضح نأخذ كمان مثال C مثلاً والباقي موجود حلّهم لو
+
+267
+00:22:52,740 --> 00:22:57,220
+كنا بدنا نشوف مثال C point
+
+268
+00:22:58,550 --> 00:23:10,750
+OO 8 5 4 3 2 1 0 لأن هذا لما أنا بدي أصير
+
+269
+00:23:10,750 --> 00:23:16,260
+scientific notation بدي أتحرك بهذا الشكل واضح بدا
+
+270
+00:23:16,260 --> 00:23:23,840
+أتحرك بهذا الشكل بناءً على ذلك حاسين 8.543210
+
+271
+00:23:23,840 --> 00:23:28,100
+طبعاً هأضربه في عشرة أس ناقص ثلاثة لما أتحرك على
+
+272
+00:23:28,100 --> 00:23:31,700
+اليمين هأضرب في عشرة أس ناقص ثلاثة على اليسار يعني
+
+273
+00:23:31,700 --> 00:23:35,720
+في الـ positive الآن هو بدوياها لـ four significant
+
+274
+00:23:35,720 --> 00:23:41,630
+figures هاي one two three four لما بنعمل تقريب
+
+275
+00:23:41,630 --> 00:23:50,990
+هذول بيروحوا إذا الجواب 8.543 x 10⁻³ وباقي الأمور
+
+276
+00:23:50,990 --> 00:24:02,990
+موجودة بنفس الطريقة لو
+
+277
+00:24:02,990 --> 00:24:12,370
+أجينا لسؤال 49 مثله سؤال 50 هو استعمال نتائج الـ
+
+278
+00:24:12,370 --> 00:24:15,010
+significant figures carry out the following
+
+279
+00:24:15,010 --> 00:24:18,330
+operations and express the answers with the
+
+280
+00:24:18,330 --> 00:24:23,790
+appropriate number of significant figures طبعاً
+
+281
+00:24:23,790 --> 00:24:29,050
+الآن احنا بنتذكر أن في عندنا قاعدتين أساسيتين
+
+282
+00:24:29,560 --> 00:24:35,960
+القاعدة الأولى للجمع أنه أنا بدي أمشي مع النتيجة
+
+283
+00:24:35,960 --> 00:24:43,260
+الأقل دقة بمعنى مع العدد الأقل من الخانات هذه قاعدة
+
+284
+00:24:43,260 --> 00:24:46,680
+الجمع أنا ممكن أشوفها من هذا الرقم يعني لما أنا
+
+285
+00:24:46,680 --> 00:24:51,860
+بدي أقول fourteen point three five oh five بدي
+
+286
+00:24:51,860 --> 00:24:57,380
+أجمعها مع two point six five الآن وين الدقة أقل
+
+287
+00:24:57,380 --> 00:25:00,940
+بدي أمشي معها وين عدد الأرقام بعد الفاصلة أقل بدي
+
+288
+00:25:00,940 --> 00:25:06,180
+أمشي معها إذا هذا الجواب اللي حيكون عندي فلما بدي
+
+289
+00:25:06,180 --> 00:25:10,960
+أجمع من هنا حيكون عندي five oh zero
+
+290
+00:25:23,310 --> 00:25:26,410
+القاعدة للجمع والطرح
+
+291
+00:25:30,370 --> 00:25:37,050
+الثانية قاعدة الضرب والقسمة قاعدة الضرب والقسمة
+
+292
+00:25:37,050 --> 00:25:41,230
+بتقول أنا بآخذ number of significant figures بعد
+
+293
+00:25:41,230 --> 00:25:45,710
+number of significant figures وبأخذ على العدد
+
+294
+00:25:45,710 --> 00:25:51,490
+الأقل من الـ significant figures بعد number of
+
+295
+00:25:51,490 --> 00:25:55,210
+significant figures وبأخذ على العدد الأقل من ال
+
+296
+00:25:55,210 --> 00:25:59,390
+significant figures يعني مثلاً لو أنا بدي أشوف
+
+297
+00:25:59,390 --> 00:26:03,910
+الفرع C بدي أسألها أنا 3.29 كم significant
+
+298
+00:26:03,910 --> 00:26:10,030
+figure عنده؟ ثلاثة هذه ما بتدخل مضروبة في 0.2501
+
+299
+00:26:10,030 --> 00:26:13,850
+كم significant figure عنده؟ أربعة الجواب اللي
+
+300
+00:26:13,850 --> 00:26:19,550
+عنده لازم يكون فيه ثلاثة significant figures واضح
+
+301
+00:26:19,550 --> 00:26:23,010
+بأخذ على العدد الأقل فلما أضربهم على الـ calculator
+
+302
+00:26:23,010 --> 00:26:26,450
+بأخذ بس ثلاثة significant figures
+
+303
+00:26:30,840 --> 00:26:37,520
+في كل الأحوال باقي المسائل كلّهم بدنا بهدوء نحلّهم
+
+304
+00:26:37,520 --> 00:26:43,160
+بنفس الطريقة لا شك أن الطالب بنفسه لازم يتدرب لكن
+
+305
+00:26:43,160 --> 00:26:48,340
+هو قاعدتين للضرب والقسمة بدي أشوف العدد الأقل من
+
+306
+00:26:48,340 --> 00:26:52,900
+الـ significant figures وللجمع والطرح بدي أشوف ال
+
+307
+00:26:52,900 --> 00:26:57,360
+uncertainty الأقل أو اللي هو العدد الأقل من
+
+308
+00:26:57,360 --> 00:27:00,660
+الأرقام بعد الفاصلة بألتزم فيه
+
+309
+00:27:04,130 --> 00:27:09,550
+الآن سؤال 53 بيقول لي using your knowledge of
+
+310
+00:27:09,550 --> 00:27:13,370
+metric units English units and the information on
+
+311
+00:27:13,370 --> 00:27:18,130
+the backs inside cover يعني كل المعلومات اللي أنتَ
+
+312
+00:27:18,130 --> 00:27:24,640
+بتعرفها بالتحويل ما بين وحدات القياس المختلفة write
+
+313
+00:27:24,640 --> 00:27:27,960
+down the conversion factors needed to convert
+
+314
+00:27:27,960 --> 00:27:35,200
+millimeter to nanometer مثلاً الآن لو أنا كنت بدي
+
+315
+00:27:35,200 --> 00:27:40,780
+أحول الـ millimeter إلى الـ nanometer الـ millimeter
+
+316
+00:27:40,780 --> 00:27:48,840
+كم nanometer طبعاً أنا بقدر أعرف أن الـ Millimeter
+
+317
+00:27:48,840 --> 00:27:57,160
+عشرة أس ناقص ثلاثة متر الـ Millimeter
+
+318
+00:27:57,160 --> 00:28:01,340
+عشرة أس ناقص ثلاثة متر الـ Millimeter عشرة أس
+
+319
+00:28:01,340 --> 00:28:02,940
+ناقص ثلاثة متر الـ Millimeter عشرة أس ناقص ثلاثة
+
+320
+00:28:02,940 --> 00:28:06,880
+متر الـ Millimeter عشرة أس ناقص ثلاثة متر الـ
+
+321
+00:28:06,880 --> 00:28:07,100
+Millimeter عشرة أس ناقص ثلاثة متر الـ Millimeter
+
+322
+00:28:07,100 --> 00:28:07,840
+عشرة أس ناقص ثلاثة متر الـ Millimeter عشرة أس
+
+323
+00:28:07,840 --> 00:28:09,140
+ناقص ثلاثة متر الـ Millimeter عشرة أس ناقص ثلاثة
+
+324
+00:28:09,140 --> 00:28:09,900
+متر الـ Millimeter عشرة أس ناقص ثلاثة متر الـ
+
+325
+00:28:09,900 --> 00:28:13,940
+Millimeter عشرة أس ناقص ثلاثة متر الـ Millimeter
+
+326
+00:28:13,940 --> 00:28:20,710
+عشرة أس ناقص ثلاثة طبعاً واضح تماماً أن الـ nanometer أو
+
+327
+00:28:20,710 --> 00:28:26,550
+الواحد nanometer هو عبارة عن عشرة أس ناقص تسعة من
+
+328
+00:28:26,550 --> 00:28:32,830
+المتر واضح يعني بتخيل الوحدات بهذا الشكل ال
+
+329
+00:28:32,830 --> 00:28:36,770
+millimeter عشرة أس ناقص ثلاثة من المتر وال
+
+330
+00:28:36,770 --> 00:28:42,850
+nanometer عشرة أس ناقص تسعة من المتر
+
+331
+00:28:44,290 --> 00:28:52,610
+بناءً على ذلك عندما أكمل التحويل سيظهر الميليميتر
+
+332
+00:28:52,610 --> 00:29:01,430
+عبارة عن عشرة أس ناقص ستة من عشرة أس ستة من
+
+333
+00:29:01,430 --> 00:29:09,170
+نانوميتر يعني الواحد ميليميتر هو عبارة عن عشرة أس
+
+334
+00:29:09,170 --> 00:29:15,270
+ناقص ستة من المتر طبعاً إذا أنا عندي متر
+
+335
+00:29:15,270 --> 00:29:19,470
+أحسن أن هذا الـ conversion factor أكتبه أن ال
+
+336
+00:29:19,470 --> 00:29:25,830
+nanometer هو عبارة عن عشرة أس ناقص تسعة من المتر
+
+337
+00:29:25,830 --> 00:29:29,710
+بدي أشتغل من هان المتر المتر وأنا عشرة أس ناقص
+
+338
+00:29:29,710 --> 00:29:34,930
+ثلاثة مع عشرة أس ناقص تسعة بيصير عشرة أس ناقص ستة و
+
+339
+00:29:34,930 --> 00:29:39,510
+بناءً على ذلك لما بحسبها بدّه يطلع عندي الـ millimeter
+
+340
+00:29:39,510 --> 00:29:44,050
+هو عبارة عن عشرة أس ستة ليش لأنه هذا مش معادلة
+
+341
+00:29:44,050 --> 00:29:49,310
+تساوي فالـ millimeter هو عبارة عن عشرة أس ستة من ال
+
+342
+00:29:49,310 --> 00:29:54,630
+nanometer طبعاً الـ millimeter أكبر بكثير من ال
+
+343
+00:29:54,630 --> 00:30:01,830
+nanometer وكلّهم من ناحية المبدأ بنحلّهم بنفس الطريقة
+
+344
+00:30:01,830 --> 00:30:06,050
+كلّهم من ناحية المبدأ بنحلّهم بنفس الطريقة يعني لو
+
+345
+00:30:06,050 --> 00:30:11,910
+بدّه ييجي يسألني الـ milligram to kilogram كيف بدي
+
+346
+00:30:11,910 --> 00:30:15,730
+أحسبها؟ أنا بعرف أن الواحد جرام عشرة أس ثلاثة
+
+347
+00:30:15,730 --> 00:30:20,790
+milligram والواحد جرام عشرة أس ناقص ثلاثة kilogram
+
+348
+00:30:20,790 --> 00:30:26,600
+بناءً على ذلك الـ milligram شو بدّه يطلع؟ يعني لو أنا
+
+349
+00:30:26,600 --> 00:30:34,160
+أخذتهم حسب كبرهم أصغر واحد فيهم الـ milligram بعدين
+
+350
+00:30:34,160 --> 00:30:41,400
+في عندي الـ gram بعدين في عندي الـ kilogram الآن ال
+
+351
+00:30:41,400 --> 00:30:45,700
+gram عبارة عن ألف milligram والـ kilogram
+
+352
+00:30:48,540 --> 00:30:54,440
+الكيلو جرام عبارة عن ألف جرام واضح بناءً على ذلك لو
+
+353
+00:30:54,440 --> 00:30:59,400
+أنا بدي أجي أسأل الآن الكيلو جرام كم ميلي جرام
+
+354
+00:30:59,400 --> 00:31:05,560
+عشرة أس ستة ميلي جرام طب الميلي جرام كم كيلو جرام
+
+355
+00:31:05,560 --> 00:31:11,240
+واضح يعني زي هيك احنا بنقول الكيلو جرام عشرة أس
+
+356
+00:31:11,240 --> 00:31:18,490
+ستة ميلي جرام الميلي جرام أقل بدّه يكون الميلي جرام هيك
+
+357
+00:31:18,490 --> 00:31:23,190
+بدنا نقول بيساوي عشرة أس ناقص ستة من الكيلوجرام لو
+
+358
+00:31:23,190 --> 00:31:29,070
+كنت بدي الكيلوجرام بدّي أقول أو أخلي زي ما هو مكتوب
+
+359
+00:31:29,070 --> 00:31:36,610
+الكيلوجرام بيساوي عشرة أس ناقص الكيلوجرام عشرة
+
+360
+00:31:36,610 --> 00:31:42,960
+أس ستة من الـ milligram الكيلوجرام عشرة أس ناقص
+
+361
+00:31:42,960 --> 00:31:45,920
+ستة milligram أو الـ milligram عشرة أس ناقص ستة
+
+362
+00:31:45,920 --> 00:31:51,060
+kilogram العلاقات هي علاقات متتالية الـ milligram
+
+363
+00:31:51,060 --> 00:31:54,360
+عشرة أس ناقص ثلاثة gram أو الـ gram عشرة أس ثلاثة
+
+364
+00:31:54,360 --> 00:31:59,360
+milligram الكيلوجرام عشرة أس ثلاثة gram أو ألف
+
+365
+00:31:59,360 --> 00:32:05,060
+gram فالـ kilogram للـ milligram هذا الأكبر هذا
+
+366
+00:32:05,060 --> 00:32:08,140
+الأصغر بيكون عشرة أس ستة الـ milligram للـ kilogram
+
+367
+00:32:08,140 --> 00:32:14,100
+بيكون عشرة أس ناقص ستة وكل هذه التحويلات بدنا
+
+368
+00:32:14,100 --> 00:32:27,960
+نعملها بنفس الطريقة طبعاً هو كمان بيسألني عن فرع
+
+369
+00:32:27,960 --> 00:32:34,580
+إيش C مثلاً كيلومتر to foot الآن احنا من الجداول
+
+370
+00:32:34,580 --> 00:32:42,520
+بنشوف أن الكيلومتر 3280 فوت ما في مشكلة إنش كيوب to
+
+371
+00:32:42,520 --> 00:32:47,200
+centimeter كيوب هذه مهمة أن الواحد إنش الواحد إنش
+
+372
+00:32:47,200 --> 00:32:50,760
+اثنين وأربع وخمسين من مائة سنتيمتر فلو أنا بدي ال
+
+373
+00:32:50,760 --> 00:32:56,000
+إنش كيوب مقارنة بالـ سنتيمتر كيوب بدي أخلي الـ 2.54
+
+374
+00:32:56,000 --> 00:33:02,580
+كيوب والسنتيمتر كيوب فالـ إنش كيوب is 16
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gEcweaCqzlo_raw.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gEcweaCqzlo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ea76a79a4769aeec008de4782f198e0c5458f18e
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gEcweaCqzlo_raw.srt
@@ -0,0 +1,1516 @@
+1
+00:00:04,930 --> 00:00:08,030
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,030 --> 00:00:13,610
+وبركاته ان شاء الله اليوم هنكون في مناقشة الفصل
+
+3
+00:00:13,610 --> 00:00:18,610
+الأول اللي كان يعني مقدمة عامة في الكيمياء في
+
+4
+00:00:18,610 --> 00:00:24,340
+مساقق الكيمياء العامة للعلوم الصحية والهندسيةطبعا
+
+5
+00:00:24,340 --> 00:00:29,320
+احنا اتكلمنا فيه عن المواد و عن المحاليل و فكرة
+
+6
+00:00:29,320 --> 00:00:32,340
+عامة عن أنواع المحاليل و شوية عن ال significant
+
+7
+00:00:32,340 --> 00:00:36,560
+figures و درجات الحرارة و التحويل بينها كل هذه
+
+8
+00:00:36,560 --> 00:00:40,900
+الأمور ليش لأن هو في نهاية فصل يعني مقدمة في
+
+9
+00:00:40,900 --> 00:00:46,370
+الكيمياالان لو جينا نشوف بعض الأسئلة في هذا الفصل
+
+10
+00:00:46,370 --> 00:00:53,090
+السؤال 113 بيقولنا classify يعني صنف each of the
+
+11
+00:00:53,090 --> 00:00:57,330
+following as a pure substance or a mixture يعني
+
+12
+00:00:57,330 --> 00:01:03,620
+صنف كل من الآت كمادة نقية أو كخليطF a mixed jar
+
+13
+00:01:03,620 --> 00:01:08,040
+وإذا كانت خليط indicate whether it is homogeneous
+
+14
+00:01:08,040 --> 00:01:12,540
+or heterogeneous واضحليها هل هو خليط متجانس أو غير
+
+15
+00:01:12,540 --> 00:01:17,760
+متجانس الان بيقول لي rice pudding rice pudding
+
+16
+00:01:17,760 --> 00:01:25,100
+يعني اللي بنسميها احنا المهلبية بالرز يعني مع
+
+17
+00:01:25,100 --> 00:01:29,980
+الحليب الرز و الحليب ايش بنعتبره مركب نقي ولا خليط
+
+18
+00:01:29,980 --> 00:01:35,380
+it is a mixed jarهل هو homogenous؟ لأ طبعا لأنه
+
+19
+00:01:35,380 --> 00:01:40,760
+منفصل بيكون مبين الرز و مبين باقي المحلول فهو
+
+20
+00:01:40,760 --> 00:01:46,180
+عبارة عن خليط غير متجانس هو عبارة عن heterogeneous
+
+21
+00:01:46,180 --> 00:01:53,680
+mixtureالفرع بيه ال sea water ماء البحر ماء البحر
+
+22
+00:01:53,680 --> 00:01:58,200
+من وين ما بتشرب فيه بتحسه مالح بنفس الطريقة هو
+
+23
+00:01:58,200 --> 00:02:03,640
+عبارة عن ماء فيه أملاح كتير إذا هو mixture و it is
+
+24
+00:02:03,640 --> 00:02:08,600
+a homogeneous mixture خليط متجانس يعني مابفرجش من
+
+25
+00:02:08,600 --> 00:02:12,440
+أول البحر ولا من نص البحر تدوج الطعم هتلاقي نفس
+
+26
+00:02:12,440 --> 00:02:19,930
+الاشي بنفس النسبة من الأملاح في الميهالفرع C
+
+27
+00:02:19,930 --> 00:02:25,550
+ماجنيسيام المجنيسيام عبارة عن متل، معدن، يكون نقي،
+
+28
+00:02:25,550 --> 00:02:31,860
+it is a pure substanceNumber D Crushed Ice Crushed
+
+29
+00:02:31,860 --> 00:02:36,500
+يعني الثلج المجروش يعني بتكون حبات التلج في تلاجة
+
+30
+00:02:36,500 --> 00:02:41,920
+خصوصة بتعمل هذا ال crushed ice بيلزم في المختبرات
+
+31
+00:02:41,920 --> 00:02:47,760
+الكيميا للتبريد بيطلع حبيبات ثلج تقريبا مثل حبة
+
+32
+00:02:47,760 --> 00:02:53,320
+الحمصالان هذا التلج هو عبارة عن ماء ماء نقي
+
+33
+00:02:53,320 --> 00:03:00,700
+المفروض وانه موجود على شكل تلج مكسر فهو عبارة عن
+
+34
+00:03:00,700 --> 00:03:04,220
+pure substance يعني في نهاية الثلج هو عبارة عن
+
+35
+00:03:04,220 --> 00:03:13,540
+الماء الماء النقيالسؤال الاربع عشان نفس
+
+36
+00:03:13,540 --> 00:03:16,920
+الفكرة
+
+37
+00:03:16,920 --> 00:03:21,260
+صن فيها الأشياء إما إنها pure mixture أو a pure
+
+38
+00:03:21,260 --> 00:03:24,580
+substance أو a mixture if a mixture indicate
+
+39
+00:03:24,580 --> 00:03:28,730
+whether it is homogeneous or heterogeneousيعني يا
+
+40
+00:03:28,730 --> 00:03:34,250
+مادة نقية يا مخلوط مخلوط بيكون homogeneous متجانس
+
+41
+00:03:34,250 --> 00:03:38,630
+أو heterogeneous غير متجانس بيسألني السؤال الأول
+
+42
+00:03:38,630 --> 00:03:45,960
+air الهواء الهواء عبارة عنمجموعة من الغازات
+
+43
+00:03:45,960 --> 00:03:49,720
+الموجودة بنسبة أكبر النيتروجين كأنه solvent فيه
+
+44
+00:03:49,720 --> 00:03:54,600
+أكسجين فيه ثانو أكسيد كربون فيه غازات ملوثات أخرى
+
+45
+00:03:54,600 --> 00:03:59,740
+لكن كله موجود بنفس النسبة وبناء على ذلك it is a
+
+46
+00:03:59,740 --> 00:04:06,710
+homogeneous mixture خليط متجانسفرع بيه tomato
+
+47
+00:04:06,710 --> 00:04:12,110
+juice عصير الطماطم طبعا عصير الطماطم احنا بنشوف
+
+48
+00:04:12,110 --> 00:04:16,450
+فيه البذور والمواد الصلبة وبناء على ذلك هو خليط
+
+49
+00:04:16,450 --> 00:04:20,830
+الحقيقة ليس مادة نقية خليط من مواد وهذا الخليط
+
+50
+00:04:20,830 --> 00:04:26,830
+heterogeneous mixture خليط غير متجانسالانسان بيقدر
+
+51
+00:04:26,830 --> 00:04:31,330
+يميز بذور الطماطم بيقدر يميز الأشياء الصلبة القشور
+
+52
+00:04:31,330 --> 00:04:37,180
+فعصير الطماطم هو عبارة عن خليط غير متجانسأيوديني
+
+53
+00:04:37,180 --> 00:04:41,740
+كريستال بلورات اليود هذا عبارة عن مادة نقية pure
+
+54
+00:04:41,740 --> 00:04:47,260
+substance ال sand ال sand على فرض أنه فيه أشياء
+
+55
+00:04:47,260 --> 00:04:51,280
+كتيرة غير ثانو أكسيد السيليكون يعني الإنسان بده
+
+56
+00:04:51,280 --> 00:04:55,480
+يفكر هل هو بيقصد بس ثانو أكسيد السيليكون ولا
+
+57
+00:04:55,480 --> 00:05:00,110
+الصخور والمركبات الكتيرة غالبا معظم الرملفي كتير
+
+58
+00:05:00,110 --> 00:05:04,710
+ملوثات ومركبات كتيرة وعشان هي الأصح نعتبره mixture
+
+59
+00:05:04,710 --> 00:05:09,450
+و heterogeneous mixture يعني احنا مابنكونش ناخد بس
+
+60
+00:05:09,450 --> 00:05:13,930
+اللي هي ثانو أكسيد السيليكون الأساسي لكن الرمل
+
+61
+00:05:13,930 --> 00:05:18,750
+مخلوط من أشياء كتيرة أو أوساخ وما إلى ذلك فخليني
+
+62
+00:05:18,750 --> 00:05:25,190
+اعتبره heterogeneous mixture سؤال
+
+63
+00:05:25,190 --> 00:05:32,730
+واحد وعشرينLabel each of the following as either a
+
+64
+00:05:32,730 --> 00:05:37,610
+physical process or a chemical process طبعا ال
+
+65
+00:05:37,610 --> 00:05:41,190
+chemical process اللي بيحصل فيه تفاعل بيغير المادة
+
+66
+00:05:41,190 --> 00:05:45,110
+ال physical process المادة بتتغير ممكن من حالة
+
+67
+00:05:45,110 --> 00:05:50,770
+لحالة من صلب لسائل لغاز ممكن تسخن ممكن تبرد لكن
+
+68
+00:05:50,770 --> 00:05:57,010
+مافيش تغير في جوهر المادة واضح؟الان التفاعل هو
+
+69
+00:05:57,010 --> 00:06:02,690
+يغير جوهر المادة ومكون المادة الأساسي فبيقول ليه؟
+
+70
+00:06:02,690 --> 00:06:05,670
+شوف لهذه التغيرات هل هي chemical أو physical
+
+71
+00:06:05,670 --> 00:06:13,410
+processRusting of a metal can يعني عملية صدأ علبة
+
+72
+00:06:13,410 --> 00:06:20,040
+أو عبوة من الصفيحطبعا الصدق هو عبارة عن تفاعل
+
+73
+00:06:20,040 --> 00:06:26,320
+كيميائي هل الحديد بيبقى حديد بكل خواص المعدن ولا
+
+74
+00:06:26,320 --> 00:06:30,280
+الحديد اللي بيلمع وكويس بيصير عبارة عن مادة اكسيد
+
+75
+00:06:30,280 --> 00:06:35,540
+الحديد ومادة هشة بتختلف اذا هنا عبارة عن تفاعل
+
+76
+00:06:35,540 --> 00:06:40,040
+حديد صار اكسيد حديد وبناء على ذلك هذه عبارة عن
+
+77
+00:06:40,040 --> 00:06:46,020
+chemical processالفرع بـ Boiling a cup of water
+
+78
+00:06:46,020 --> 00:06:49,880
+تسخين فنجان من الميّه يا ترى لو الميّه كانت
+
+79
+00:06:49,880 --> 00:06:55,000
+حرارتها عشرين و سخنت انا لخمسة و تلاتين هل اتغير
+
+80
+00:06:55,000 --> 00:06:59,620
+جوهر الميّه؟ لأ عشان ايه كان ده physical process
+
+81
+00:06:59,620 --> 00:07:03,860
+مش chemical process الميّه ما زالت كمية ميّه لكن
+
+82
+00:07:03,860 --> 00:07:11,060
+سخنةالفرع C is Pulverizing an Aspirin يعني لو جيبت
+
+83
+00:07:11,060 --> 00:07:15,760
+حبة Aspirin و طحنتها و خلتها ك powder الآن ال
+
+84
+00:07:15,760 --> 00:07:19,580
+Aspirin ما زال Aspirin ما تغير تركيبه الكيميائي
+
+85
+00:07:19,580 --> 00:07:24,360
+فهذا فرع C عبارة أيضا عن physical process
+
+86
+00:07:26,730 --> 00:07:33,630
+فرع دي Digesting a candy bar عملية الهضم عملية
+
+87
+00:07:33,630 --> 00:07:38,850
+بيتحول المركبات و ببدأ اللي هو التمثيل الغذائي
+
+88
+00:07:38,850 --> 00:07:42,810
+وبناء على ذلك عملية الهضم هي عملية كيميائية
+
+89
+00:07:43,330 --> 00:07:46,650
+المُركّب نفسه بتفكك لأشياء تانية أو بتحول لأشياء
+
+90
+00:07:46,650 --> 00:07:51,690
+تانية فالـ Digesting a candy bar يعني إنسان مسك
+
+91
+00:07:51,690 --> 00:08:00,330
+يعني نوع من الحلويات قطعة من الحلويات وهضمها هذا
+
+92
+00:08:00,330 --> 00:08:04,270
+عبارة عن chemical processExploding of
+
+93
+00:08:04,270 --> 00:08:08,390
+Nitroglycerin طبعاً في الانفجار المادة المتفجرة
+
+94
+00:08:08,390 --> 00:08:11,830
+بتتحول إلى غازات و هي اللي بتعمل الضغط و بتسبب
+
+95
+00:08:11,830 --> 00:08:16,230
+الهدم طبعاً مادة صلبة صارت غازات إذا أنا ده عبارة
+
+96
+00:08:16,230 --> 00:08:20,170
+عن التحول كينيائي it is a chemical process
+
+97
+00:08:22,670 --> 00:08:28,110
+نشوف سؤال 22 نفس الاشي نفس الفكرة بيسأل عن نفس
+
+98
+00:08:28,110 --> 00:08:32,110
+الموضوع ال physical و ال chemical process بيقول a
+
+99
+00:08:32,110 --> 00:08:37,250
+match is lit يعني ولعنا عود ثقاب أو عود كبريد زي
+
+100
+00:08:37,250 --> 00:08:41,870
+ما بنسميه and held under a cold piece of metal
+
+101
+00:08:41,870 --> 00:08:46,690
+يعني ولعنا عود ثقاب وحطنا تحت قطعة من المعدن لأن
+
+102
+00:08:46,690 --> 00:08:51,390
+قطعة المعدن بدأت تسخن التسخين هذاعبارة عن physical
+
+103
+00:08:51,390 --> 00:08:54,590
+process ما تغيرت المادة يعني الحديد لما بيسخن
+
+104
+00:08:54,590 --> 00:08:59,710
+بيعود يبرد ما بيتغير كمادة واضح؟ the following
+
+105
+00:08:59,710 --> 00:09:03,150
+observations are made صارت عند الملاحظات التالية
+
+106
+00:09:03,150 --> 00:09:07,690
+the match burns عوض الكبريت لما ينحرج ويتحول إلى
+
+107
+00:09:07,690 --> 00:09:12,910
+مواد أخرى وإلى دخان وإلى ثانو أكسيد الكربون عملية
+
+108
+00:09:12,910 --> 00:09:18,400
+الاحتراق هذه is a chemical processنمبر بيه المعدن
+
+109
+00:09:18,400 --> 00:09:24,580
+يتحرر المعدن المعدنية
+
+110
+00:09:24,580 --> 00:09:29,220
+سخنت التسخين عملية فيزيائية لم تتغير فيها المادة
+
+111
+00:09:29,220 --> 00:09:36,500
+عشانك بيه هو اتشانج فيزيائي المعدن يتحرر المعدن لو
+
+112
+00:09:36,500 --> 00:09:45,470
+كان عندى ماء واتكثف على سطح المعدنفي النهاية سواء
+
+113
+00:09:45,470 --> 00:09:50,630
+كان بخار سواء كان سائل سواء كان صلب ثلج يعني ice
+
+114
+00:09:50,630 --> 00:09:55,950
+هو نفس المادة فأي تغير بين الحالات is a physical
+
+115
+00:09:55,950 --> 00:10:00,790
+process تغير سواء بالانصحار أو بالتكثيف هو عبارة
+
+116
+00:10:00,790 --> 00:10:07,310
+عن physical processنمبر دي سوط اللي هو الدخان
+
+117
+00:10:07,310 --> 00:10:12,530
+الأسود اللي بيطلع هذا اللي هو ال carbon و بترسب و
+
+118
+00:10:12,530 --> 00:10:16,470
+دايما تشوفوا لما بنسخن بيصير عندنا سواد و بالذات
+
+119
+00:10:16,470 --> 00:10:21,870
+لما بنشوى بالفحم و غيرهSoot اللي هو عبارة عن
+
+120
+00:10:21,870 --> 00:10:26,370
+carbon is deposited on the metal يعني لما انا ولعت
+
+121
+00:10:26,370 --> 00:10:31,730
+عودي الكابريت لاحظت ان المعدن صار عليه سواد عبارة
+
+122
+00:10:31,730 --> 00:10:39,400
+عن carbon من عودي الاثقاب هذاالان هذا ال carbon هو
+
+123
+00:10:39,400 --> 00:10:44,120
+عبارة عن ناتج عملية احتراق ناتج تفاعل كيميائي يعني
+
+124
+00:10:44,120 --> 00:10:49,680
+عود الخشب ماكنش أساسا carbon كان هو عبارة عن الخشب
+
+125
+00:10:49,680 --> 00:10:54,900
+اللي هو ال cellulose وما إلى ذلك بالاحتراق فقد
+
+126
+00:10:54,900 --> 00:10:58,700
+الماء وصار عبارة عن carbon إذا هذا عبارة عن
+
+127
+00:10:58,700 --> 00:11:00,600
+chemical process
+
+128
+00:11:07,000 --> 00:11:11,860
+السؤال 31 الحقيقة بيعتمد على جدول الاختصارات
+
+129
+00:11:11,860 --> 00:11:15,380
+بإمكان أي طالب يرجع بسهولة للجدول اللي موجود في
+
+130
+00:11:15,380 --> 00:11:19,920
+الشرح ويشوف ايش معنى هذه الاختصارات what
+
+131
+00:11:19,920 --> 00:11:22,380
+exponential notation do the following
+
+132
+00:11:22,380 --> 00:11:28,080
+abbreviations represent يعني ال D هي عبارة عن ال
+
+133
+00:11:28,080 --> 00:11:35,290
+DC ال C الصنتي ال F الفيمتوالـ Mu الـ Micro عشرة
+
+134
+00:11:35,290 --> 00:11:38,950
+أقص ناقص ستة الـ M الميجا عشرة أقص ستة الـ K
+
+135
+00:11:38,950 --> 00:11:42,970
+الكيلو عشرة أقص تلاتة الـ N النانو عشرة أقص ناقص
+
+136
+00:11:42,970 --> 00:11:47,930
+تسعة الـ M الميلي عشرة أقص ناقص تلاتة الـ P البيكو
+
+137
+00:11:47,930 --> 00:11:52,250
+عشرة أقص ناقص اتناشر هذه كل الاختصارات وإيش بتساوي
+
+138
+00:11:52,250 --> 00:11:55,810
+موجود الحقيقة في الجدول اللي عندكم
+
+139
+00:11:58,600 --> 00:12:03,480
+بعد ذلك يأتي بسؤالنا بيقولنا use appropriate
+
+140
+00:12:03,480 --> 00:12:06,800
+metric prefixes to write the following
+
+141
+00:12:06,800 --> 00:12:12,260
+measurements without use of exponents يعني هو بده
+
+142
+00:12:12,260 --> 00:12:18,960
+يعطينا مقياس ممكن ناخد واحد منهم هذا المقياس فيه
+
+143
+00:12:18,960 --> 00:12:23,500
+exponent يعني فيه مرفوع للقوة كذا يعني مثلا لو
+
+144
+00:12:23,500 --> 00:12:28,360
+احنا اجينا اخدنا الفرع ايه؟ two point threeفي عشرة
+
+145
+00:12:28,360 --> 00:12:35,760
+اص ناقص عشرة من ال letter الان انا بدي اختصر هذه
+
+146
+00:12:35,760 --> 00:12:39,840
+من خلال ان استعمل احد الاختصارات اللي هنا و احصل
+
+147
+00:12:39,840 --> 00:12:43,900
+على جواب مافيش فيه هذا ال exponent اللي هي العشرة
+
+148
+00:12:43,900 --> 00:12:51,480
+اص ناقص عشرة من ال letter الانUse Appropriate
+
+149
+00:12:51,480 --> 00:12:54,880
+Metric Prefixes استعمل اختصارات معينة من اللي
+
+150
+00:12:54,880 --> 00:13:00,960
+اتعلمناها بحيث تكتب هذا القياس بدون هذا الكلام
+
+151
+00:13:00,960 --> 00:13:06,220
+الان باختصار احنا بدنا نيجي نقول ايش اقرب اشي
+
+152
+00:13:06,220 --> 00:13:13,090
+للعشرة او ناقص عشرةأقرب اشي للعشرة اصناقس عشرة
+
+153
+00:13:13,090 --> 00:13:18,330
+اللي هي مثلا ممكن نقول العشرة اصناقس تسعة لما بد
+
+154
+00:13:18,330 --> 00:13:26,020
+العشرة اصناقس تسعة انا بقول ال nano ال nanoلتر هو
+
+155
+00:13:26,020 --> 00:13:32,280
+عبارة عن واحد في عشر أقص ناقص تسعة من اللتر واضح
+
+156
+00:13:32,280 --> 00:13:37,680
+فلو أنا استعملت زي هيك وعملت عملية ضرب بسيطة هتروح
+
+157
+00:13:37,680 --> 00:13:40,820
+العشر أقص ناقص تسعة مع جزء من ال hand بيبقى العشر
+
+158
+00:13:40,820 --> 00:13:46,580
+أقص ناقص واحد بصفة الجواب point two three وشطبنا
+
+159
+00:13:46,580 --> 00:13:50,860
+ال letter مع ال letter point two three nano liter
+
+160
+00:13:52,380 --> 00:13:58,420
+وكلهم من ناحية المبدأ بنحلهم بنفس الطريقة يعني انا
+
+161
+00:13:58,420 --> 00:14:03,340
+بدي اشوف اي conversion factor يشطب لهذا الأس هنا
+
+162
+00:14:03,340 --> 00:14:07,440
+ماكنش عندي بالظبط عشرة أس ناقص عشرة في عند العشرة
+
+163
+00:14:07,440 --> 00:14:11,320
+أس ناقص تسعة اللي هي ال nano liter بساوي واحد في
+
+164
+00:14:11,320 --> 00:14:14,680
+عشرة أس ناقص تسعة من ال liter شطبنا ال liter مع ال
+
+165
+00:14:14,680 --> 00:14:17,520
+liter عشرة أس ناقص تسعة مع عشرة أس ناقص تسعة من
+
+166
+00:14:17,520 --> 00:14:25,320
+هنا ونجلنا الفاصلة درجةبطلع الجواب نشوف كمان واحدة
+
+167
+00:14:25,320 --> 00:14:30,520
+منهم مثلا
+
+168
+00:14:30,520 --> 00:14:38,410
+لو بدوا الـ 4.7 في 10 أصناق الـ 6 جرام4.7 في عشرة
+
+169
+00:14:38,410 --> 00:14:43,290
+أصناق الستة جرام الان ايش القياس اللي انا عندى
+
+170
+00:14:43,290 --> 00:14:48,930
+بالنسبة للعشرة أصناق الستة اه انا عندى الواحد
+
+171
+00:14:48,930 --> 00:14:55,850
+micro gram بساوي عشرة أصناق الستة milligram واضح
+
+172
+00:14:56,580 --> 00:15:00,540
+بساوي عشرة أصناق الستة ميلي جرام بناء على ذلك لو
+
+173
+00:15:00,540 --> 00:15:04,140
+احنا شطبنا جرام مع جرام العشرة أصناق الستة مع
+
+174
+00:15:04,140 --> 00:15:10,830
+العشرة أصناق الستة هذه عبارة عن نفس 4.74.7
+
+175
+00:15:10,830 --> 00:15:16,910
+microgram يعني نفس الـ 4.7 في عشرة أصناق الستة
+
+176
+00:15:16,910 --> 00:15:21,310
+جرام أنا ممكن أعبر عنها بطريقة أجمل أقول هي نفسها
+
+177
+00:15:21,310 --> 00:15:27,270
+4.7 microgram كلهم من ناحية المبدأ بنحلم زيك بنشوف
+
+178
+00:15:27,270 --> 00:15:32,070
+إيش ال conversion factor معامل التحويل اللي موجودة
+
+179
+00:15:32,070 --> 00:15:37,350
+بنخليه في المقام وبطلع الجواب المحول عندنا زي ما
+
+180
+00:15:37,350 --> 00:15:41,270
+هو موجودحل باقي الفروع
+
+181
+00:15:49,740 --> 00:15:54,420
+هذه المسألة تلاتة و تلاتين بتحكي عن اللي هو عملية
+
+182
+00:15:54,420 --> 00:15:58,660
+تحويل أو التحويل بين درجات الحرارة make the
+
+183
+00:15:58,660 --> 00:16:03,080
+following convergence من فهرين هايت ل degree
+
+184
+00:16:03,080 --> 00:16:05,960
+centigrade من degree centigrade ل فهرين هايت من
+
+185
+00:16:05,960 --> 00:16:10,600
+degree centigrade ل Kelvin طبعا انا بعرف ان ال
+
+186
+00:16:10,600 --> 00:16:11,140
+Kelvin
+
+187
+00:16:15,730 --> 00:16:20,570
+بساوي 273.15 زائد مقدار الحرارة بال degree
+
+188
+00:16:20,570 --> 00:16:24,010
+centigrade يعني هاي التحويل بين Kelvin و degree
+
+189
+00:16:24,010 --> 00:16:27,710
+centigrade الان بالنسبة للتحويل بين degree
+
+190
+00:16:27,710 --> 00:16:31,910
+centigrade و Fahrenheit الناس اللي متذكرين معناها
+
+191
+00:16:31,910 --> 00:16:35,430
+وهنا بدنا نفرجيهم معاها موجودة وين بالظبط في عندى
+
+192
+00:16:35,430 --> 00:16:41,540
+علاقة تحويلية اللي هيالـ degrees Fahrenheit بتساوي
+
+193
+00:16:41,540 --> 00:16:47,540
+تسعة على خمسة في ال degree centigrade زائد اتنين
+
+194
+00:16:47,540 --> 00:16:52,700
+وتلاتين واضح؟ هذه العلاقة اللي بنحول من خلالها ما
+
+195
+00:16:52,700 --> 00:16:56,740
+بين ال Fahrenheit وال degree centigrade الآن إذا
+
+196
+00:16:56,740 --> 00:17:01,620
+هذه العلاقات كنا احنا مستحضرينها
+
+197
+00:17:03,500 --> 00:17:11,720
+معنى ذلك مجرد أننا نطبق تطبيق بسيط يعني على سبيل
+
+198
+00:17:11,720 --> 00:17:18,120
+المثال لو أحنا بدنا ناخد من الفرع B موجود عنده
+
+199
+00:17:18,120 --> 00:17:25,080
+اتنين و سبعين ديجريز فهرين هايت ديجريز فهرين هايت
+
+200
+00:17:25,080 --> 00:17:28,880
+انا بقول اتنين و سبعين ايش بتساوي في ديجريز
+
+201
+00:17:28,880 --> 00:17:32,980
+سنتيجريت اتنين و سبعين بتساوي تسعة على خمسةفي ال
+
+202
+00:17:32,980 --> 00:17:38,000
+degree centigrade زائد اتنين و تلاتين لو عملنا هذه
+
+203
+00:17:38,000 --> 00:17:40,780
+الحسابات نجلنا الاتنين و التلاتين هنا ضربناها
+
+204
+00:17:40,780 --> 00:17:44,340
+بخمسة جسمناها على تسعة بتطلع ال degree centigrade
+
+205
+00:17:44,340 --> 00:17:48,600
+اتنين و عشرين و اتنين من عشرة واضح؟ و كله بنفس
+
+206
+00:17:48,600 --> 00:17:53,420
+المنطق و ال Kelvin ل degree centigrade أسهل كتير و
+
+207
+00:17:53,420 --> 00:17:59,770
+الإجابات موجودة عندنا نفس الشيء تماماالسؤال اللي
+
+208
+00:17:59,770 --> 00:18:05,410
+بعده بيقول لي the temperature of a warm summer day
+
+209
+00:18:05,410 --> 00:18:10,490
+يعني يوم صيف حار الحرارة سبعة و ثمانين degrees
+
+210
+00:18:10,490 --> 00:18:13,790
+Fahrenheit بدي اعوضها ان سبعة و تمانين degrees
+
+211
+00:18:13,790 --> 00:18:18,750
+Fahrenheit تسعة على خمسة degrees centigrade زي
+
+212
+00:18:18,750 --> 00:18:23,350
+اتنين و تلاتين جداش بتكون هذا اليوم حرارته هذا
+
+213
+00:18:23,350 --> 00:18:27,010
+اليوم حرارته thirty point six degrees centigrade
+
+214
+00:18:27,010 --> 00:18:31,520
+يعني لما نعوضبيظل عندى degrees centigrade وعشان
+
+215
+00:18:31,520 --> 00:18:35,880
+هيك بدوا الإنسان يكون عارف يعني احنا في بلادنا لما
+
+216
+00:18:35,880 --> 00:18:40,660
+بنقول الحرارة تلاتين تقريبا بتكون بامريكا اللى
+
+217
+00:18:40,660 --> 00:18:44,760
+بيستعملوا مقياس ال Fahrenheit سبعة و تمانين
+
+218
+00:18:44,760 --> 00:18:48,240
+degrees Fahrenheit what is the temperature in
+
+219
+00:18:48,240 --> 00:18:50,840
+degrees centigrade حسبناها السبعة و تمانين هي
+
+220
+00:18:50,840 --> 00:18:57,040
+التلاتين الآن بيسألنا سؤال تاني بيهمعظم المعلومات
+
+221
+00:18:57,040 --> 00:19:01,120
+العلمية تم تفجيرها لـ 25 دقائق دقائق دقائق دقائق
+
+222
+00:19:01,120 --> 00:19:02,040
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+223
+00:19:02,040 --> 00:19:03,740
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+224
+00:19:03,740 --> 00:19:06,040
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+225
+00:19:06,040 --> 00:19:08,380
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+226
+00:19:08,380 --> 00:19:13,400
+دقائق دقائق
+
+227
+00:19:13,400 --> 00:19:13,760
+دقائق دقائق دقائق دقائق دقائق دقائق دقائق دقائق
+
+228
+00:19:13,760 --> 00:19:20,980
+دقائق دقائق دقائق دقائق دقائق
+
+229
+00:19:22,920 --> 00:19:27,920
+بنقدر نحسب جداش بتساوي بالفهرين هايت بتطلع سبعة و
+
+230
+00:19:27,920 --> 00:19:31,900
+سبعين فهرين هايت الان الخمسة و عشرين نفسها لما
+
+231
+00:19:31,900 --> 00:19:36,120
+يقولياها بالكلفن مائتين و تلاتة و سبعين زائد خمسة
+
+232
+00:19:36,120 --> 00:19:41,200
+و عشرين مائتين و تمانية وتسعين فالعمليات سهلة و
+
+233
+00:19:41,200 --> 00:19:47,980
+نفس الشيء تحويلات الفرع C و D هم هدولة العلاقتين
+
+234
+00:19:47,980 --> 00:19:51,580
+بدنا نستعملهم أكتر من مرة عشان نتدرب على عملية
+
+235
+00:19:51,580 --> 00:19:52,620
+التحويل
+
+236
+00:19:55,820 --> 00:20:03,600
+سؤال خمسة وأربعينيبدو هذا السؤال في موضوع الـ
+
+237
+00:20:03,600 --> 00:20:30,960
+Significant Figures
+
+238
+00:20:31,060 --> 00:20:37,000
+فرع C الصفر اللي في الوسط والصفر اللي على يمين
+
+239
+00:20:37,000 --> 00:20:41,160
+الفاصلة يحتسب اذا واحد اتنين تلاتة اربعة خمس خمس
+
+240
+00:20:41,160 --> 00:20:46,560
+significant figures الفرع D الصفر اللي على لتحديد
+
+241
+00:20:46,560 --> 00:20:50,780
+موقع الفاصلة لا يحتسب اللي في النص يحتسب اذا دول
+
+242
+00:20:50,780 --> 00:20:56,940
+تلاتة significant figures الفرع Eالسفر اللي في
+
+243
+00:20:56,940 --> 00:21:00,420
+النص و اللي على يمين الفاصلة كله يحتسب اذا انا
+
+244
+00:21:00,420 --> 00:21:02,960
+اقول واحد اتنين تلاتة اربعة خمس significant
+
+245
+00:21:02,960 --> 00:21:08,220
+figures الاربعمية الحقيقة طالما مافيش فاصلة بس
+
+246
+00:21:08,220 --> 00:21:12,600
+بنحتسب one significant figure لو كتبلي فاصلة بصير
+
+247
+00:21:12,600 --> 00:21:16,960
+احتسب three significant figures لو كتبلي فاصلة و
+
+248
+00:21:16,960 --> 00:21:20,220
+بعدها سفر بصير احتسب four significant figures لكن
+
+249
+00:21:20,220 --> 00:21:24,560
+بهذا الشكل بدون فاصلة بس بعتبر one significant
+
+250
+00:21:24,560 --> 00:21:24,980
+figure
+
+251
+00:21:30,690 --> 00:21:37,040
+السؤال اللي بعدهبقول لي اعمل تقريب معين around
+
+252
+00:21:37,040 --> 00:21:40,020
+each of the following numbers to four significant
+
+253
+00:21:40,020 --> 00:21:42,300
+figures يعني بدي يكون عندي four significant
+
+254
+00:21:42,300 --> 00:21:45,640
+figures and express the result in standard
+
+255
+00:21:45,640 --> 00:21:48,520
+exponential notation لما يقول لي standard
+
+256
+00:21:48,520 --> 00:21:51,900
+exponential notation يعني انا بدي احط رقم واحد
+
+257
+00:21:51,900 --> 00:21:56,520
+بعدين فاصلة و بعدين اضرب في عشر أقص سواء موجب او
+
+258
+00:21:56,520 --> 00:22:06,810
+سالمفلما نجي مثلا على الفرع A 102.53070
+
+259
+00:22:06,810 --> 00:22:12,750
+لان هذا بداية لما دخلي بال scientific notation بدي
+
+260
+00:22:12,750 --> 00:22:19,630
+أنجل بعد رقم واحد بدي أقول 1.0253070
+
+261
+00:22:19,630 --> 00:22:23,810
+في عشر أقصى اتنين طالما اتحركت للشمال بدي أضرب في
+
+262
+00:22:23,810 --> 00:22:26,690
+عشر أقصى اتنين الان هو يطالب مني كام significant
+
+263
+00:22:26,690 --> 00:22:32,400
+figureأربعة هي واحد اتنين تلاتة اربعة انا بدي
+
+264
+00:22:32,400 --> 00:22:36,800
+لحدها انه الان لو جيت اقرب هذا مابتقربش اذا الجواب
+
+265
+00:22:36,800 --> 00:22:43,600
+حيصير عندي one point oh two five في عشرة أس اتنين
+
+266
+00:22:43,600 --> 00:22:52,740
+واضح ناخد كمان مثال C مثلا والباقي موجود حلهم لو
+
+267
+00:22:52,740 --> 00:22:57,220
+كنا بدنا نشوف مثال C point
+
+268
+00:22:58,550 --> 00:23:10,750
+OO 8 5 4 3 2 1 0 لان هذا لما انا بدي أصير
+
+269
+00:23:10,750 --> 00:23:16,260
+scientific notation بدي أتحرك بهذا الشكلواضح بدا
+
+270
+00:23:16,260 --> 00:23:23,840
+اتحرك بهذا الشكل بناء على ذلك حاسين 8.543210
+
+271
+00:23:23,840 --> 00:23:28,100
+طبعا هضربه في عشرة أس ناقص تلاتة لما اتحرك على
+
+272
+00:23:28,100 --> 00:23:31,700
+اليمين هضرب في عشرة أس ناقص تلاتة على اليسار يعني
+
+273
+00:23:31,700 --> 00:23:35,720
+في ال positive الان هو بدوياها ل four significant
+
+274
+00:23:35,720 --> 00:23:41,630
+figures هاي one two three fourلما بنعمل تقريب
+
+275
+00:23:41,630 --> 00:23:50,990
+هدولة بيروحوا إذا الجواب 8.543 x 10⁻³ وباقي الأمور
+
+276
+00:23:50,990 --> 00:24:02,990
+موجودة بنفس الطريقة لو
+
+277
+00:24:02,990 --> 00:24:12,370
+إجينا لسؤال 49 مثله سؤال 50 هو استعمال نتائج الـ
+
+278
+00:24:12,370 --> 00:24:15,010
+significant figures carry out the following
+
+279
+00:24:15,010 --> 00:24:18,330
+operations and express the answers with the
+
+280
+00:24:18,330 --> 00:24:23,790
+appropriate number of significant figures طبعا
+
+281
+00:24:23,790 --> 00:24:29,050
+الان احنا بنتذكر ان في عندنا قاعدتين اساسيتين
+
+282
+00:24:29,560 --> 00:24:35,960
+القاعدة الأولى للجامع أنه أنا بدي أمشي مع النتيجة
+
+283
+00:24:35,960 --> 00:24:43,260
+الأقل دقة بمعنى مع العدد الأقل من الخاناتهذه قاعدة
+
+284
+00:24:43,260 --> 00:24:46,680
+الجمع انا ممكن اشوفها من هذا الرقم يعني لما انا
+
+285
+00:24:46,680 --> 00:24:51,860
+بدي اقول fourteen point three five oh five بدي
+
+286
+00:24:51,860 --> 00:24:57,380
+اجمعها مع two point six five الان وين الدقة اقل
+
+287
+00:24:57,380 --> 00:25:00,940
+بدي امشي معها وين عدد الأرقاب بعد الفاصلة اقل بدي
+
+288
+00:25:00,940 --> 00:25:06,180
+امشي معها اذا هذا الجواب اللي هيكون عندى فلما بدي
+
+289
+00:25:06,180 --> 00:25:10,960
+اجمع من هنا هيكون عندى five oh zero
+
+290
+00:25:23,310 --> 00:25:26,410
+القائدة الجامع والطريح
+
+291
+00:25:30,370 --> 00:25:37,050
+التانية قاعدة الضرب والقسمة قاعدة الضرب والقسمة
+
+292
+00:25:37,050 --> 00:25:41,230
+بتقول أنا بعد number of significant figures بعد
+
+293
+00:25:41,230 --> 00:25:45,710
+number of significant figures وباخد على العدد
+
+294
+00:25:45,710 --> 00:25:51,490
+الأقل من ال significant figures بعد number of
+
+295
+00:25:51,490 --> 00:25:55,210
+significant figures وباخد على العدد الأقل من ال
+
+296
+00:25:55,210 --> 00:25:59,390
+significant figures يعني مثلالو انا بدي اشوف
+
+297
+00:25:59,390 --> 00:26:03,910
+الفارع C بدي اسألها انا 3.29 كام significant
+
+298
+00:26:03,910 --> 00:26:10,030
+figure عنده؟ تلاتة هذه ما بتدخل مضروبة في 0.2501
+
+299
+00:26:10,030 --> 00:26:13,850
+كام significant figure عنده؟ أربعة الجواب اللي
+
+300
+00:26:13,850 --> 00:26:19,550
+عنده لازم يكون فيه تلاتة significant figuresواضح
+
+301
+00:26:19,550 --> 00:26:23,010
+باخد على العدد الأقل فلما أضربهم على ال calculator
+
+302
+00:26:23,010 --> 00:26:26,450
+باخد بس تلاتة significant figures
+
+303
+00:26:30,840 --> 00:26:37,520
+في كل الأحوال باقي المسائل كلهم بدنا بهدوء انحلهم
+
+304
+00:26:37,520 --> 00:26:43,160
+بنفس الطريقة لا شك ان الطالب بنفسه لازم يتدرب لكن
+
+305
+00:26:43,160 --> 00:26:48,340
+هو مقاعدتين للدرب والقسمة بدي أشوف العدد الأقل من
+
+306
+00:26:48,340 --> 00:26:52,900
+ال significant figures وللجمع والطرح بدي أشوف ال
+
+307
+00:26:52,900 --> 00:26:57,360
+uncertainty الأقل أو اللي هو العدد الأقل من
+
+308
+00:26:57,360 --> 00:27:00,660
+الأرقام بعد الفاصلة بألتزم فيه
+
+309
+00:27:04,130 --> 00:27:09,550
+الآن سؤال 53 بيقول لي using your knowledge of
+
+310
+00:27:09,550 --> 00:27:13,370
+metric units English units and the information on
+
+311
+00:27:13,370 --> 00:27:18,130
+the backs inside cover يعني كل المعلومات اللي أنت
+
+312
+00:27:18,130 --> 00:27:24,640
+بتعرفهابالتحويل ما بين وحدات القياس المختلفة write
+
+313
+00:27:24,640 --> 00:27:27,960
+down the conversion factors needed to convert
+
+314
+00:27:27,960 --> 00:27:35,200
+millimeter to nanometer مثلا الان لو انا كنت بدى
+
+315
+00:27:35,200 --> 00:27:40,780
+احول ال millimeter الى ال nanometer ال millimeter
+
+316
+00:27:40,780 --> 00:27:48,840
+اكم nanometer طبعا انا بقدر اعرف انهالـ Millimeter
+
+317
+00:27:48,840 --> 00:27:57,160
+عشرة أصناق أس تلاتة متر الـ Millimeter
+
+318
+00:27:57,160 --> 00:28:01,340
+عشرة أصناق أس تلاتة متر الـ Millimeter عشرة أصناق
+
+319
+00:28:01,340 --> 00:28:02,940
+أس تلاتة متر الـ Millimeter عشرة أصناق أس تلاتة
+
+320
+00:28:02,940 --> 00:28:06,880
+متر الـ Millimeter عشرة أصناق أس تلاتة متر الـ
+
+321
+00:28:06,880 --> 00:28:07,100
+Millimeter عشرة أصناق أس تلاتة متر الـ Millimeter
+
+322
+00:28:07,100 --> 00:28:07,840
+عشرة أصناق أس تلاتة متر الـ Millimeter عشرة أصناق
+
+323
+00:28:07,840 --> 00:28:09,140
+أس تلاتة متر الـ Millimeter عشرة أصناق أس تلاتة
+
+324
+00:28:09,140 --> 00:28:09,900
+متر الـ Millimeter عشرة أصناق أس تلاتة متر الـ
+
+325
+00:28:09,900 --> 00:28:13,940
+Millimeter عشرة أصناق أس تلاتة متر الـ Millimeter
+
+326
+00:28:13,940 --> 00:28:20,710
+عشرة أصناق أس تلطبعا واضح تماما ان ال nanometer او
+
+327
+00:28:20,710 --> 00:28:26,550
+الواحد nanometer هو عبارة عن عشر أقص ناقص تسعة من
+
+328
+00:28:26,550 --> 00:28:32,830
+المتر واضح يعني بتخيل الوحدات بهذا الشكل ال
+
+329
+00:28:32,830 --> 00:28:36,770
+millimeter عشر أقص ناقص تلاتة من المتر و ال
+
+330
+00:28:36,770 --> 00:28:42,850
+nanometer عشر أقص ناقص تسعة من المتر
+
+331
+00:28:44,290 --> 00:28:52,610
+بناء على ذلك عندما أكمل التحويل سيظهر الميليميتر
+
+332
+00:28:52,610 --> 00:29:01,430
+عبارة عن عشر أقص ناقص ستة من عشر أقص ستة من
+
+333
+00:29:01,430 --> 00:29:09,170
+نانوميتر يعني الواحد ميليميتر هو عبارة عن عشر أقص
+
+334
+00:29:09,170 --> 00:29:15,270
+ناقصعشرة او ستة من المتر طبعا اذا انا عندى متر
+
+335
+00:29:15,270 --> 00:29:19,470
+احسن ان هذا ال conversion factor اكتبه ان ال
+
+336
+00:29:19,470 --> 00:29:25,830
+nanometer هو عبارة عن عشر اقص ناقص تسعة من المتر
+
+337
+00:29:25,830 --> 00:29:29,710
+بدي اشتب من هان المتر المتر وانا عشرة اقص ناقص
+
+338
+00:29:29,710 --> 00:29:34,930
+تلاتة مع عشرة اقص ناقص تسعة بيصير عشرة اقص ناقص6 و
+
+339
+00:29:34,930 --> 00:29:39,510
+بناء على ذلك لما بحسبها بده يطلع عند ال millimeter
+
+340
+00:29:39,510 --> 00:29:44,050
+هو عبارة عن عشرة أس ستة ليش لأنه هذا مش معادلة
+
+341
+00:29:44,050 --> 00:29:49,310
+تساوي فال millimeter هو عبارة عن عشرة أس ستة من ال
+
+342
+00:29:49,310 --> 00:29:54,630
+nanometer طبعا ال millimeter أكبر اكتير من ال
+
+343
+00:29:54,630 --> 00:30:01,830
+nanometerوكلهم من ناحية المبدأ بنحلهم بنفس الطريقة
+
+344
+00:30:01,830 --> 00:30:06,050
+كلهم من ناحية المبدأ بنحلهم بنفس الطريقة يعني لو
+
+345
+00:30:06,050 --> 00:30:11,910
+بده ييجي يسألني ال milligram to kilogram كيف بدي
+
+346
+00:30:11,910 --> 00:30:15,730
+أحسبها؟ أنا بعرف أن الواحد جرام عشرة أس تلاتة
+
+347
+00:30:15,730 --> 00:30:20,790
+milligram والواحد جرام عشرة أس ناقص تلاتة kilogram
+
+348
+00:30:20,790 --> 00:30:26,600
+بناء على ذلك ال milligram شو بده يطلع؟يعني لو أنا
+
+349
+00:30:26,600 --> 00:30:34,160
+أخدتهم حسب كبرهم أصغر واحد فيهم ال milligram بعدين
+
+350
+00:30:34,160 --> 00:30:41,400
+في عندي ال gram بعدين في عندي ال kilogram الآن ال
+
+351
+00:30:41,400 --> 00:30:45,700
+gram عبارة عن الف milligram و ال kilogram
+
+352
+00:30:48,540 --> 00:30:54,440
+الكيلو جرام عبارة عن الف جرام واضح بناء على ذلك لو
+
+353
+00:30:54,440 --> 00:30:59,400
+انا بدي اجي اسأل الان الكيلو جرام اكم ميلي جرام
+
+354
+00:30:59,400 --> 00:31:05,560
+عشرة او ستة ميلي جرام طب الميلي جرام اكم كيلو جرام
+
+355
+00:31:05,560 --> 00:31:11,240
+واضح يعني زي هيك احنا بنقول الكيلو جرام عشرة او
+
+356
+00:31:11,240 --> 00:31:18,490
+ستة ميلي جرام الميلي جرام اقل بديكون الميلي جرامهك
+
+357
+00:31:18,490 --> 00:31:23,190
+بدنا نقول بيساوي عشرة أس ناقص ستة من الكلجرام لو
+
+358
+00:31:23,190 --> 00:31:29,070
+كنت بدي ال kilogram بدقول او اخلي زي ما هو مكتوب
+
+359
+00:31:29,070 --> 00:31:36,610
+ال kilogram بيساوي عشرة أس ناقص ال kilogram عشرة
+
+360
+00:31:36,610 --> 00:31:42,960
+أس ستة منالـ milligram الـ kilogram عشرة أقص ناقص
+
+361
+00:31:42,960 --> 00:31:45,920
+ستة milligram أو ال milligram عشرة أقص ناقص ستة
+
+362
+00:31:45,920 --> 00:31:51,060
+kilogram العلاقات هي علاقات متتالية ال milligram
+
+363
+00:31:51,060 --> 00:31:54,360
+عشرة أقص ناقص تلاتة gram أو ال gram عشرة أقص تلاتة
+
+364
+00:31:54,360 --> 00:31:59,360
+milligram ال kilogram عشرة أقص تلاتة gram أو الف
+
+365
+00:31:59,360 --> 00:32:05,060
+gramفال kilogram لل milligram هذا الأكبر هذا
+
+366
+00:32:05,060 --> 00:32:08,140
+الأصغر بيكون عشر أقص ستة ال milligram لل kilogram
+
+367
+00:32:08,140 --> 00:32:14,100
+بيكون عشر أقص ناقص ستة وكل هذه التحويلات بدنا
+
+368
+00:32:14,100 --> 00:32:27,960
+نعملها بنفس الطريقة طبعا هو كمان بيسألني عن فرع
+
+369
+00:32:27,960 --> 00:32:34,580
+إيشC مثلا كيلومتر to foot الان احنا من الجداول
+
+370
+00:32:34,580 --> 00:32:42,520
+بنشوف ان الكيلومتر 3280 فوت مافي مشكلة انش كيوب to
+
+371
+00:32:42,520 --> 00:32:47,200
+centimeter كيوب هذه مهمة ان الواحد انش الواحد انش
+
+372
+00:32:47,200 --> 00:32:50,760
+اتنين واربع وخمسين من مائة سنتمتر فلو انا بدي ال
+
+373
+00:32:50,760 --> 00:32:56,000
+انش كيوبمقارنة بالسنتمتر كيوب بدي اخلي الـ 2.54
+
+374
+00:32:56,000 --> 00:33:02,580
+كيوب والسنتمتر كيوب فالانش كيوب is 16.39 سنتمتر
+
+375
+00:33:02,580 --> 00:33:08,940
+كيوب ننتبه ان انا احط هذه لما نخلي هذا كيوب هذه
+
+376
+00:33:08,940 --> 00:33:12,120
+بدأت تصير كيوب وهذه بدأت تصير كيوب التنتين مش
+
+377
+00:33:12,120 --> 00:33:12,680
+واحدة
+
+378
+00:33:15,840 --> 00:33:22,460
+وبهيك بننتهي من مناقشة بعض المسائل المتعلقة بالفصل
+
+379
+00:33:22,460 --> 00:33:25,240
+الأول وشكرا لكم
+
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gz91ZmeweRY.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gz91ZmeweRY.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ecbabc311e00db7da24f65d3124308e85b100358
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gz91ZmeweRY.srt
@@ -0,0 +1,1606 @@
+1
+00:00:05,030 --> 00:00:07,750
+بسم الله الرحمن الرحيم الحمد لله رب العالمين
+
+2
+00:00:07,750 --> 00:00:10,710
+والصلاة والسلام على سيدنا محمد وعلى آله وصحبه 
+
+3
+00:00:10,710 --> 00:00:16,270
+أجمعين هذه هي المحاضرة رقم 26 مساق تحليل حقيقة 2
+
+4
+00:00:16,270 --> 00:00:20,290
+طلاب وطالبات الجامعة الإسلامية قسم رياضيات كلية
+
+5
+00:00:20,290 --> 00:00:24,650
+العلوم اليوم هنكمل حديثنا في شطر 9 ولكن في the section
+
+6
+00:00:24,650 --> 00:00:29,050
+الجديد the section هنبدأ فيه اللي هو tests for
+
+7
+00:00:29,050 --> 00:00:36,950
+absolute convergence اختبارات الـ Series التي تحتوي 
+
+8
+00:00:36,950 --> 00:00:40,490
+على الـ Positive Terms أو اللي هو بمفهوم الـ
+
+9
+00:00:40,490 --> 00:00:46,010
+Absolute Convergence نأتي الآن للأولاني المشهور
+
+10
+00:00:46,010 --> 00:00:51,130
+9.2.1 بنسميه ال comparison test أو اللي هو اختبار
+
+11
+00:00:51,130 --> 00:00:55,490
+المقارن let X يعني اللي بيكون عندنا فيه the series وبنقارنها بـ series أخرى بنعرفها عارفين 
+
+12
+00:00:55,490 --> 00:00:58,910
+اللي هو converged ولا diverse وبناء عليه بنحكم على
+
+13
+00:00:58,910 --> 00:01:02,930
+الـ series اللي بيبقى إحنا بنقارنها اللي هي إنَّها
+
+14
+00:01:02,930 --> 00:01:07,250
+converged أو diverse Let X يساوي Xn و Y يساوي Yn
+
+15
+00:01:07,250 --> 00:01:11,900
+be Real Sequences Suppose that for some natural
+
+16
+00:01:11,900 --> 00:01:17,420
+number K اللي هو Xn أكبر أو أصغر أو يساوي Yn يعني
+
+17
+00:01:17,420 --> 00:01:22,340
+بمعنى آخر أننا بنحكي عن Sequence of Positive Terms
+
+18
+00:01:22,340 --> 00:01:26,400
+ماشي إذا هذه اللي هي عبارة عن Test لـ Series مكونة
+
+19
+00:01:26,400 --> 00:01:32,160
+من الـ Terms تبعتها من Positive Terms for N أكبر و
+
+20
+00:01:32,160 --> 00:01:36,420
+يساوي K then the convergence of summation Yn
+
+21
+00:01:36,420 --> 00:01:40,320
+implies the convergence of Xn and the divergence
+
+22
+00:01:40,320 --> 00:01:44,320
+of Xn implies the divergence of summation Yn اللي
+
+23
+00:01:44,320 --> 00:01:48,440
+أنا بقول ليه الـ test بيقول بيحكي لي معايا ليه إن لو
+
+24
+00:01:48,440 --> 00:01:53,680
+كان في عندي two sequences Xn و Yn هم اللي بيكون
+
+25
+00:01:53,680 --> 00:01:56,820
+جسم اللي هو الـ series باجي إذا كان عندي Xn أصغر 
+
+26
+00:01:56,820 --> 00:02:01,920
+من أو يساوي Yn لكل N طبعا وإثنتين positive باجي بقول
+
+27
+00:02:01,920 --> 00:02:05,700
+إذا كان اللي هي الكبيرة اللي هي converts الـ Yn 
+
+28
+00:02:05,700 --> 00:02:10,800
+أكيد من باب أولى الصغيرة إيش مالها converts يعني ال
+
+29
+00:02:10,800 --> 00:02:14,280
+convergence للـ Yn بيعطي الـ convergence لمن؟ للـ Xn
+
+30
+00:02:14,280 --> 00:02:18,520
+إذا كانت الصغيرة diverges من باب أولى الكبيرة 
+
+31
+00:02:19,050 --> 00:02:23,830
+إيش مالها diverges خلّينا نبرهن الآن Suppose
+
+32
+00:02:27,750 --> 00:02:33,730
+that Yn is convergent ماشي الحال؟ suppose that
+
+33
+00:02:33,730 --> 00:02:37,090
+summation Yn converges نفترض للكبيرة إنها converges 
+
+34
+00:02:37,090 --> 00:02:41,050
+then for every ي أكبر من صفر there exists m of
+
+35
+00:02:41,050 --> 00:02:45,850
+epsilon element in n such that for every m أكبر من 
+
+36
+00:02:45,850 --> 00:02:50,330
+n وأكبر من m يبسلون اللي هو الـ Cauchy Criterion
+
+37
+00:02:50,330 --> 00:02:55,530
+اللي هو Y1 زي Ym ناقص Y1 زي Yn أصغر من مين 
+
+38
+00:02:55,530 --> 00:03:02,870
+من إبسلون ماشي الحال الآن هذا الكلام اللي هو عندي
+
+39
+00:03:02,870 --> 00:03:06,710
+صحيح لكل N أكبر ويساوي K يعني مش من بداية الـ
+
+40
+00:03:06,710 --> 00:03:10,970
+Sequence مش كثير مهم أنا عند بداية الـ Sequence إن
+
+41
+00:03:10,970 --> 00:03:12,950
+اللي بحكم على الـ convergence والـ divergence اللي 
+
+42
+00:03:12,950 --> 00:03:17,330
+هو mean اللي هو الـ Terms من عند حد إلى ما لا نهاية 
+
+43
+00:03:17,330 --> 00:03:20,630
+اللي هو اللي هيأثر على المجموع إن اللي هو موجود
+
+44
+00:03:20,630 --> 00:03:26,630
+أو مش موجود طيب الآن هذه اللي هي صحيحة لكل N و M
+
+45
+00:03:26,630 --> 00:03:32,180
+أكبر من M اللي جيناها وعندي هذه صحيحة لكل N
+
+46
+00:03:32,180 --> 00:03:37,840
+أكبر أو يساوي K عشان أستخدم واحد وأستخدم star لازم 
+
+47
+00:03:37,840 --> 00:03:42,520
+أختار أقول from one and star we have for every 
+
+48
+00:03:42,520 --> 00:03:46,480
+epsilon there exists N عشان أستخدم واحد و star بدي 
+
+49
+00:03:46,480 --> 00:03:50,500
+آخذ N هي الـ maximum بين الـ K وبين الـ m of epsilon 
+
+50
+00:03:50,500 --> 00:03:54,720
+such that لما تكون الـ M أكبر من N وأكبر من الـ K
+
+51
+00:03:54,720 --> 00:03:58,140
+الـ maximum معناته أكبر من K وأكبر من هذه معناته
+
+52
+00:03:58,140 --> 00:04:02,880
+هذه صحيحة وهذه صحيحة يعني بحق اللي الناس بتخدمها
+
+53
+00:04:02,880 --> 00:04:09,920
+we have X1 زائد X2 زائد Xm اللي هي الـ Partial Sum لـ
+
+54
+00:04:09,920 --> 00:04:17,290
+X وهذه ناقص اللي هي X1 لعند Xn أطرحها من بعض اللي 
+
+55
+00:04:17,290 --> 00:04:21,670
+هو حيساوي الـ Xm زائد 1 لعند الـ Xn زائد 
+
+56
+00:04:21,670 --> 00:04:25,650
+1 أكيد اللي هو أصغر من أو يساوي Yn زائد 1 الـ Xn
+
+57
+00:04:25,650 --> 00:04:28,150
+زائد 2 أصغر من Yn زائد 2 لما أصل الـ Xm
+
+58
+00:04:28,150 --> 00:04:33,770
+أصغر من أو يساوي الـ Ym الآن هذه عبارة عن مين؟ عن هذه
+
+59
+00:04:33,770 --> 00:04:38,470
+ناقص هذه اللي هي Y1 زي Ym ناقص Y1 زي Yn اللي هي
+
+60
+00:04:38,470 --> 00:04:42,610
+أصغر من وين؟ من ي لأنها converges اللي هي الـ Yn بناء
+
+61
+00:04:42,610 --> 00:04:49,190
+عليه اللي هو أثبتنا إن الـ Sm ناقص الـ Sn بالنسبة للـ
+
+62
+00:04:49,190 --> 00:04:53,570
+X اللي هي satisfies Cauchy Criterion إن أنا أصغر من
+
+63
+00:04:53,570 --> 00:04:58,510
+Y معناه تصميش للـ Xn إيش مالها؟ converges العنوان 
+
+64
+00:04:58,510 --> 00:05:03,110
+الثاني هو Contrapositive للعنوان الأول لماذا؟ لأن 
+
+65
+00:05:03,110 --> 00:05:09,870
+لو كانت الـ summation Xn مختلفة وليست مرتبطة فأكيد 
+
+66
+00:05:09,870 --> 00:05:14,390
+ستعطي الـ summation Yn إيش مالها؟ التي ليست مرتبطة
+
+67
+00:05:14,650 --> 00:05:19,810
+يعني diverse يعني الجزء الثاني هذا ما هو إلا عبارة 
+
+68
+00:05:19,810 --> 00:05:23,650
+عن اللي هو الجزء الأول بس إيش ماله؟ موفود بالـ
+
+69
+00:05:23,650 --> 00:05:27,890
+contraposition يعني B implies Q يعني not Q implies
+
+70
+00:05:27,890 --> 00:05:32,730
+not B طيب الآن نيجي هذا اللي هو الـ Comparison Test
+
+71
+00:05:32,730 --> 00:05:38,070
+اللي هو المقارنة المباشرة بين الـ Terms تبعات مين؟ 
+
+72
+00:05:38,070 --> 00:05:41,890
+تبعات اللي هو الـ Sequences أحيانا عمليا هذه مش
+
+73
+00:05:41,890 --> 00:05:46,830
+كثير الناس بترغبها في Test ثاني Comparison Test 
+
+74
+00:05:46,830 --> 00:05:50,530
+لكن هذا الـ Test اللي هو بنسميه Limit Comparison
+
+75
+00:05:50,530 --> 00:05:53,910
+Test وهذا أسهل في الاستخدام وأوسع في الاستخدام
+
+76
+00:05:53,910 --> 00:05:59,310
+والناس بتنيل عادة لاستخدامها ماشي الحال الآن Suppose
+
+77
+00:05:59,310 --> 00:06:02,450
+both that X يساوي Xn و Y يساوي Yn are
+
+78
+00:06:02,450 --> 00:06:07,570
+positive series sequences if the relation Limit Xn
+
+79
+00:06:07,570 --> 00:06:12,730
+على Yn  Limit Xn على Yn لا يساوي صفر يعني عبارة 
+
+80
+00:06:12,730 --> 00:06:17,400
+عن عدد هذا يعني عبارة عن عدد يعني سير الـ Xn وسير 
+
+81
+00:06:17,400 --> 00:06:23,260
+الـ Yn قريب من بعض لما نقول بيطلع عدد Limit Xn على
+
+82
+00:06:23,260 --> 00:06:29,000
+Yn يعني سيرهم قريب من بعض لدرجة إنه في الآخر بيطلع
+
+83
+00:06:29,000 --> 00:06:32,280
+عدد يعني لا هو طلع ما له نهاية نقول اللي فوق أسرع 
+
+84
+00:06:32,280 --> 00:06:37,180
+كثير ولا طلع صفر نقول اللي تحت أسرع كثير لأ اللي
+
+85
+00:06:37,180 --> 00:06:42,770
+هو Limit Xn على Yn طلع لي عدد عشان هيك لما هذا يحدث
+
+86
+00:06:42,770 --> 00:06:45,970
+if the relation limit xn على yn لا يساوي صفر hold
+
+87
+00:06:45,970 --> 00:06:51,570
+then summation xn is convergent if and only if
+
+88
+00:06:51,570 --> 00:06:56,650
+summation yn إيش مالها؟ is convergent لأن سيرهما
+
+89
+00:06:56,650 --> 00:07:01,770
+متقارب عشان هيك بنقول يا إثنتين converges يا
+
+90
+00:07:01,770 --> 00:07:08,570
+إثنتين diverse لكن if the limit in two هنا is
+
+91
+00:07:08,570 --> 00:07:13,540
+zero معناته اللي تحت star طار على ما له نهاية يعني 
+
+92
+00:07:13,540 --> 00:07:18,400
+صار كله على إيش؟ يساوي صفر فبيكون الآن الـ Yn إذا 
+
+93
+00:07:18,400 --> 00:07:22,840
+الكبير convergent من باب أولى الصغير إيش ماله؟
+
+94
+00:07:22,840 --> 00:07:27,000
+convergent لأنه هذا صار صفر معناته هذا أسرع من هذا
+
+95
+00:07:27,000 --> 00:07:32,340
+بكثير معناته لو كان اللي تحت converged أكيد أكيد 
+
+96
+00:07:32,340 --> 00:07:36,600
+أكيد بيكون اللي فوق إيش ماله؟ convergence لأن اللي
+
+97
+00:07:36,600 --> 00:07:42,420
+فوق بيكون أبطأ أو أقل قيمة يعني نحو الصفر يعني
+
+98
+00:07:42,420 --> 00:07:46,040
+معناته إن اللي هو الـ summation للـ Yn الـ
+
+99
+00:07:46,040 --> 00:07:49,120
+convergence له على طول بيعطي اللي هو الـ
+
+100
+00:07:49,120 --> 00:07:52,980
+convergence للـ Xn هذه حول اللي هو نصف النظرية نيجي
+
+101
+00:07:52,980 --> 00:07:59,670
+الآن للبرهان نأتي لبرهان نثبت إنه نفترض إن الـ 
+
+102
+00:07:59,670 --> 00:08:02,810
+summation نثبت إن الـ summation Xn is convergent
+
+103
+00:08:02,810 --> 00:08:05,510
+فندخلها في الـ summation Yn اللي هو convergent الآن
+
+104
+00:08:05,510 --> 00:08:09,790
+بدنا نأتي للبرهان قلنا عندي Limit الـ Xn على الـ Yn
+
+105
+00:08:09,790 --> 00:08:13,430
+إيش بيساوي؟ بيساوي L لا تساوي صفر إذا حسب التعريف
+
+106
+00:08:13,430 --> 00:08:16,050
+الـ Epsilon Delta Definition أو الـ Epsilon K
+
+107
+00:08:16,050 --> 00:08:19,650
+Definition for Epsilon يساوي L على 2 أخذت لأي
+
+108
+00:08:19,650 --> 00:08:22,550
+Epsilon أخذت من ضمنها L على 2 للحسابات there
+
+109
+00:08:22,550 --> 00:08:27,210
+exists K such that اللي هو Xn على Yn ناقص L أصغر 
+
+110
+00:08:27,210 --> 00:08:30,470
+من Epsilon اللي هي L على 2 لكل N أكبر أو يساوي K
+
+111
+00:08:30,470 --> 00:08:35,350
+خلّيني نفرضها هذه بيصير عندي Xn على Yn أكبر من L
+
+112
+00:08:35,350 --> 00:08:40,280
+ناقص L على 2 وأصغر من L زائد L على 2 الآن صار 
+
+113
+00:08:40,280 --> 00:08:43,560
+عندي الآن اللي هي ال ... ال ... ال ... ال ... ال ... ال
+
+114
+00:08:43,560 --> 00:08:44,080
+... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ...
+
+115
+00:08:44,080 --> 00:08:44,380
+ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال
+
+116
+00:08:44,380 --> 00:08:44,700
+... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ...
+
+117
+00:08:44,700 --> 00:08:45,400
+ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال
+
+118
+00:08:45,400 --> 00:08:45,680
+... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ...
+
+119
+00:08:45,680 --> 00:08:45,940
+ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال
+
+120
+00:08:45,940 --> 00:08:46,620
+... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ...
+
+121
+00:08:46,620 --> 00:08:47,900
+ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال
+
+122
+00:08:47,900 --> 00:08:48,420
+... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ...
+
+123
+00:08:48,420 --> 00:08:50,320
+... ال ... ال ... ال ... ال ... ال ... ال ... ال ... ال ...
+
+124
+00:08:50,320 --> 00:08:59,540
+ال ... ال ... ال ... ال ... ال ... 
+
+125
+00:08:59,540 --> 00:09:01,420
+ال ... ال ...
+
+126
+00:09:06,850 --> 00:09:11,550
+بالـ Test اللي قبل بشوية إذا الـ summation Yn مش هذا 
+
+127
+00:09:11,550 --> 00:09:16,790
+اللي هنستخدمه هنستخدم اللي هو Xn أكبر من Yn في L
+
+128
+00:09:16,790 --> 00:09:19,750
+على 2 إذا كانت هذي convergent هتكون هذي إيش مالها؟
+
+129
+00:09:19,750 --> 00:09:24,410
+convergent وبما أن Yn في L على 2 convergent هتطلع
+
+130
+00:09:24,410 --> 00:09:28,410
+عندي اللي هي الـ summation Yn إيش مالها؟ is 
+
+131
+00:09:28,410 --> 00:09:34,660
+convergent ماشي طيب الآن conversely بدي أفترض اللي 
+
+132
+00:09:34,660 --> 00:09:39,480
+هو الـ summation لـ Yn إيش ماله؟ is convergent الـ
+
+133
+00:09:39,480 --> 00:09:41,920
+summation لـ Yn is convergent مدام الـ summation لـ
+
+134
+00:09:41,920 --> 00:09:46,680
+Yn is convergent  هيكون الـ summation اللي هي
+
+135
+00:09:46,680 --> 00:09:50,500
+الثلاثة في L على 2 في Yn is convergent لأن هذا
+
+136
+00:09:50,500 --> 00:09:54,000
+عبارة عن ثابت هذا لما افترضنا الـ yn is summation 
+
+137
+00:09:54,000 --> 00:09:57,320
+الـ Yn convergent إذا هيكون الـ summation الكبير
+
+138
+00:09:57,320 --> 00:10:00,940
+هذا convergent من باب أولى الـ summation للـ Xn
+
+139
+00:10:00,940 --> 00:10:06,200
+إيش ماله؟ is convergent يعني اتبعوا اللي حكيته هنا
+
+140
+00:10:06,200 --> 00:10:14,030
+هذه اللي هي الـ convergence للـ Xn اللي هي الكبيرة
+
+141
+00:10:14,030 --> 00:10:17,850
+بتعطي الـ convergence لهذه هو من ثم الـ convergence
+
+142
+00:10:17,850 --> 00:10:22,710
+لهذه لأن في الجزء الثاني الـ convergence للـ Yn 
+
+143
+00:10:22,710 --> 00:10:26,430
+بتعطي الـ convergence لهذه الـ convergence لهذه اللي 
+
+144
+00:10:26,430 --> 00:10:31,930
+هو الكبير بتعطي الـ convergence لمن؟ للـ Xn طيب نيجي 
+
+145
+00:10:31,930 --> 00:10:35,910
+الآن طبعا
+
+146
+00:10:35,910 --> 00:10:42,080
+ال ... ال ... ال ... المطلوب ب ... بدنا نفترض
+
+147
+00:10:44,730 --> 00:10:51,270
+Suppose that Limit Xn على Yn يساوي صفر ونفترض أن
+
+148
+00:10:51,270 --> 00:10:54,130
+الـ Yn إيش مالها؟ is convergent بالذات بت الـ Xn
+
+149
+00:10:54,130 --> 00:10:59,330
+إيش مالها؟ is convergent لأن شو معناه Limit Xn على Yn
+
+150
+00:10:59,330 --> 00:11:03,230
+يساوي صفر لكل ي أكبر من صفر؟ there exists k
+
+151
+00:11:03,230 --> 00:11:06,810
+element in n such that Xn على Yn أصغر من مين؟ من 
+
+152
+00:11:06,810 --> 00:11:10,810
+إبسلون لكل n أكبر أو يساوي k هذا اللي هو تعريف الـ
+
+153
+00:11:10,810 --> 00:11:15,700
+Limit للـ Xn على Yn يساوي صفر ومنه هذا ضرب طرفين في 
+
+154
+00:11:15,700 --> 00:11:20,680
+وسطين Xn أصغر من Yn في ي إحنا مفترضين أن الـ Yn 
+
+155
+00:11:20,680 --> 00:11:24,240
+is convergent يعني الـ ي في الـ Yn ثابتة ما هي الـ ي
+
+156
+00:11:24,240 --> 00:11:27,620
+is convergent إذا كان الكبيرة convergent من باب
+
+157
+00:11:27,620 --> 00:11:32,680
+أولى الصميش للـ Xn إيش حتكون؟ اللي هي is convergent
+
+158
+00:11:32,680 --> 00:11:39,020
+by اللي هو Comparison Test الأصلي الآن إذا خلصنا من
+
+159
+00:11:39,020 --> 00:11:42,300
+الـ Testين اللي هو الـ Comparison Test والـ Limit 
+
+160
+00:11:42,300 --> 00:11:45,880
+Comparison Test وكانت الـ Testين عبارة عن على
+
+161
+00:11:45,880 --> 00:11:50,520
+Positive Sequences الآن بدنا نحكي عن حاجة اسمها 
+
+162
+00:11:50,520 --> 00:11:53,700
+the root and the ratio test نشوف الـ root والـ 
+
+163
+00:11:53,700 --> 00:11:57,260
+ratio test الـ Test الأولاني اللي هو الـ root test 
+
+164
+00:11:57,260 --> 00:12:03,010
+إيه؟ f(x) يساوي Xn is a sequence in A and R and there
+
+165
+00:12:03,010 --> 00:12:07,410
+exists a positive number R أصغر من 1 and a
+
+166
+00:12:07,410 --> 00:12:11,590
+natural number K such that يعني الخاصية هذه بدها 
+
+167
+00:12:11,590 --> 00:12:16,590
+إياها Xn أس واحد على N أصغر أو يساوي R تتحقق لكل N 
+
+168
+00:12:16,590 --> 00:12:20,550
+أكبر أو يساوي K من عند K وطالع مش مشكلة لأن أنا
+
+169
+00:12:20,550 --> 00:12:22,670
+اللي في الـ divergence والـ convergence مين اللي
+
+170
+00:12:22,670 --> 00:12:26,990
+بتحكم اللي هو الـ Terms اللي لما ... لأنها بتروح إلى
+
+171
+00:12:26,990 --> 00:12:29,890
+ما لا نهاية يعني لو كان أول مليون Term أو أول متين
+
+172
+00:12:29,890 --> 00:12:33,970
+مليون أو جد ما يكون في الأول اللي هو لا تحقق
+
+173
+00:12:33,970 --> 00:12:38,250
+الخاصية اللي بدي إياها أنا بهمني اللي فيما بعد يحقق
+
+174
+00:12:38,250 --> 00:12:40,550
+الخاصية اللي بدي إياها اللي بدا تحكم على الـ
+
+175
+00:12:40,550 --> 00:12:44,950
+convergence أو الـ divergence إذن الآن لو كان عندي
+
+176
+00:12:44,950 --> 00:12:49,520
+Xn أقص ... Xn أقص واحد أنا الأصغر يستخدم R لكل N أكبر
+
+177
+00:12:49,520 --> 
+
+201
+00:14:46,780 --> 00:14:51,260
+absolute value xn does not converge to 0 إذا  كانت الـ 
+
+202
+00:14:51,260 --> 00:14:55,580
+الـ xn does not converge to 0 ومن ثم الـ summation 
+
+203
+00:14:55,580 --> 00:15:00,560
+للـ xn  أشملها diverse حسب اللي هو اللي قلنا عنه الـ
+
+204
+00:15:00,560 --> 00:15:03,420
+divergence test اللي هو الـ summation للـ xn
+
+205
+00:15:03,420 --> 00:15:06,820
+converges بإيجاد الـ limit للـ xn بساوة 0 لكن عندي
+
+206
+00:15:06,820 --> 00:15:11,360
+طلعت limit للـ xn لا تساوي 0 طيب corollary لللي 
+
+207
+00:15:11,360 --> 00:15:15,870
+فقال إن الـ Corollary بتقول ما هي ليه؟ let X
+
+208
+00:15:15,870 --> 00:15:20,230
+بيساوي Xn بيبقى Sequence اند R and let R بيساوي
+
+209
+00:15:20,230 --> 00:15:25,350
+Limit Xn أس واحدة لأن هناك كانت اللي هي بتأخذ الـ
+
+210
+00:15:25,350 --> 00:15:29,830
+n-th roots لمن؟ للـ terms وبتشوف اللي هنا إذا كان 
+
+211
+00:15:29,830 --> 00:15:33,410
+الـ n-th roots للـ terms اللي هي أكبر أو يساوي R من 
+
+212
+00:15:33,410 --> 00:15:43,630
+عند K و طالع لأن بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+213
+00:15:43,630 --> 00:15:48,470
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+214
+00:15:48,470 --> 00:15:48,530
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+215
+00:15:48,530 --> 00:15:48,750
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+216
+00:15:48,750 --> 00:15:49,210
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+217
+00:15:49,210 --> 00:15:53,220
+بتحكم ليه؟ الان بتحكم ليه؟نفترض إن Xn بيكون 
+
+218
+00:15:53,220 --> 00:15:57,500
+سيكوينس في R وR بيساوي Limit Xn plus 1 لـ N نفترض 
+
+219
+00:15:57,500 --> 00:16:02,840
+إن هذا الـ Limit موجود ثم الـ summation للـ Xn هو 
+
+220
+00:16:02,840 --> 00:16:10,360
+بالتأكيد مرتبط لما R أصغر من 1 وهو مرتبط عندما R 
+
+221
+00:16:10,360 --> 00:16:13,140
+أكبر من 1 وهذا الـ test أنتم عارفينه يعني بمعنى
+
+222
+00:16:13,140 --> 00:16:18,040
+آخر باجي بقول باخد Limit Xn 
+
+223
+00:16:18,970 --> 00:16:23,270
+أُس واحدة لأن أس أن قصة infinity طلع عندي ايش 
+
+224
+00:16:23,270 --> 00:16:28,550
+بيساوي بيساوي R احنا مفترضين ان الـ limit exist إذا 
+
+225
+00:16:28,550 --> 00:16:34,550
+R أكبر من واحد خلاص الـ series xn divers إذا R أصغر 
+
+226
+00:16:34,550 --> 00:16:39,030
+من واحد الـ series ايش مالها converge و absolutely 
+
+227
+00:16:39,030 --> 00:16:44,370
+convergent لكن إذا كانت R بتساوي واحد بنقول الـ test 
+
+228
+00:16:44,370 --> 00:16:47,650
+fail يعني ممكن يكون convergence وممكن تكون إيش ما
+
+229
+00:16:47,650 --> 00:16:53,650
+لها divergence وفيه أمثلة واضح؟ طيب الآن بدنا نيجي
+
+230
+00:16:53,650 --> 00:16:59,570
+للبرهان suppose that limit Xn أس واحدة على N بساوي
+
+231
+00:16:59,570 --> 00:17:05,790
+R وR إيش مالها أصغر من واحد نفترض إنه limit Xn أس
+
+232
+00:17:05,790 --> 00:17:07,670
+واحد على N بساوي R أصغر من واحد
+
+233
+00:17:10,860 --> 00:17:22,100
+طيب عندي لما أقول limit xn أس واحدة لأن بساوي واحد
+
+234
+00:17:22,100 --> 00:17:29,260
+أو بساوي R اللي هي أصغر من واحد ايش معناه هذا هذا 
+
+235
+00:17:29,260 --> 00:17:35,490
+معناته لكل ε أكبر من صفر There exist k element in N
+
+236
+00:17:35,490 --> 00:17:39,550
+such that for every N أكبر أو يساوي k اللي هو بيكون
+
+237
+00:17:39,550 --> 00:17:50,390
+عند X N أس واحدة على N ناقص R ناقص R أصغر من مين؟ من
+
+238
+00:17:50,390 --> 00:17:58,340
+ε أصغر من ε خذ الآن ε ε بتساوي
+
+239
+00:17:58,340 --> 00:18:02,780
+عند 1 ناقص R أكبر من صفر لغرض الحسابات بتاخد
+
+240
+00:18:02,780 --> 00:18:06,720
+ε عبارة عن 1 ناقص R على 2 1 ناقص R
+
+241
+00:18:06,720 --> 00:18:09,640
+على 2 أكيد أكبر من صفر إذا هتصير أصغر من 1 
+
+242
+00:18:09,640 --> 00:18:14,420
+ناقص R على 2 على 2 صار عندي الآن Xn أس واحدة 
+
+243
+00:18:14,420 --> 00:18:20,120
+على N أصغر من 1 ناقص R على 2 زائد R وأكبر 
+
+244
+00:18:20,120 --> 00:18:27,300
+من R ناقص ... اللي هو 1 ناقص R على مين؟ على 2
+
+245
+00:18:27,300 --> 00:18:32,080
+أنا بتخيل من المنطقة هذه ماشي الحال صار عندي اللي 
+
+246
+00:18:32,080 --> 00:18:40,540
+هو الـ XL أس واحدة على N أصغر من اللي هو 1
+
+247
+00:18:42,070 --> 00:18:47,950
++1 الان هذه 2R اللي هي 1 زائد R على مين على
+
+248
+00:18:47,950 --> 00:18:52,210
+2 ماشي؟ لذا صارت الـ Xn أس واحدة على N absolute
+
+249
+00:18:52,210 --> 00:18:57,790
+value أصغر من 1 زائد R على 2 لكل N أكبر أو
+
+250
+00:18:57,790 --> 00:19:06,720
+يساوي مين K لذا حصلت على هذه هذه سميها R' R' أو
+
+251
+00:19:06,720 --> 00:19:20,880
+يسمونها R واحد هذه R واحد أكبر أو 
+
+252
+00:19:20,880 --> 00:19:30,580
+أكبر أكبر أكبر أكبر أكبر أكبر أكبر أكبر أكبر 
+
+253
+00:19:30,580 --> 00:19:33,070
+أكبر أكبر أكبر أكبر أكبر R أصغر من واحد يعني عبارة
+
+254
+00:19:33,070 --> 00:19:38,010
+عن هدولة عبارة عن R يعني R واحد أصغر من مين من R
+
+255
+00:19:38,010 --> 00:19:44,070
+في نفس الوقت هتكون أصغر من واحد اللي وصلت له أنا 
+
+256
+00:19:44,070 --> 00:19:48,030
+suppose that اللي مش مشروح أنا شرحته هناك limit x
+
+257
+00:19:48,030 --> 00:19:51,070
+minus واحد على n بساوي R أصغر من واحد then there
+
+258
+00:19:51,070 --> 00:19:55,650
+exists R واحد such that R واحد أكبر من R وأصغر من
+
+259
+00:19:55,650 --> 00:20:02,090
+مين من واحد R واحد أكبر من R وأكيد أصغر من واحد
+
+260
+00:20:02,090 --> 00:20:07,590
+زائد واحد على اتنين ويساوي واحد اللي هي and اللي هو 
+
+261
+00:20:07,590 --> 00:20:11,270
+ايش هيكون عنده a natural number K اللي جئته such
+
+262
+00:20:11,270 --> 00:20:15,210
+that XN plus 1 الآن أصغر أو يساوي R1 لكل N أكبر أو
+
+263
+00:20:15,210 --> 00:20:21,930
+يساوي K والها وهيني فصلت لكم اياها هان الآن صار جاهز
+
+264
+00:20:21,930 --> 00:20:25,250
+اللي هو النظرية اللي احنا هنتذكر لها لها الـ
+
+265
+00:20:25,250 --> 00:20:30,990
+comparison test اللي هو عندي summation للـ R1 هذه 
+
+266
+00:20:30,990 --> 00:20:37,810
+صارت الآن XN plus 1 الآن أصغر من R1 يعني بمهادر تبه 
+
+267
+00:20:37,810 --> 00:20:44,030
+عليها ده خلينا نعملها برضه أفصلها صار عندي الآن يا 
+
+268
+00:20:44,030 --> 00:20:53,890
+جماعة عندي اللي هو x and هيها x and absolute value 
+
+269
+00:20:53,890 --> 00:21:01,550
+other أو يساوي R واحد أس n ماشي هذه الآن الـ R1 أصغر
+
+270
+00:21:01,550 --> 00:21:07,590
+من واحد مدام أصغر واحد وهذه الـ series converts 
+
+271
+00:21:07,590 --> 00:21:12,030
+الكبيرة إذا بقى بأول هذه الـ series الشمالة تكون
+
+272
+00:21:12,030 --> 00:21:16,690
+converts then by comparison test الآن اللي هي 
+
+273
+00:21:16,690 --> 00:21:21,350
+summation R1Rn converges implies بواسطة هذه ان الـ
+
+274
+00:21:21,350 --> 00:21:26,350
+summation للـ Xn is absolutely convergent الآن لو
+
+275
+00:21:26,350 --> 00:21:30,530
+فرضنا ان limit Xn أس واحدة بساوي R أكبر من واحد 
+
+276
+00:21:31,090 --> 00:21:34,410
+بنفس الطريقة اللي جئناها قبل بشوية بس هاخد الـY 
+
+277
+00:21:34,410 --> 00:21:39,010
+اللي هو هستخدم الـY definition بس هاخد الـY R ناقص 
+
+278
+00:21:39,010 --> 00:21:42,250
+واحد على 2 و هطبق زي ما طبقت بالظبط قبل 
+
+279
+00:21:42,250 --> 00:21:47,650
+بشوية هلاجي natural number K such that الـ X أنقص 
+
+280
+00:21:47,650 --> 00:21:52,490
+واحد على N أكبر من واحد ولا لأ أنا بلزمش حتى على
+
+281
+00:21:52,490 --> 00:21:56,150
+طول limit xn أسواه دلان اللي هو بساوي r أكبر من 
+
+282
+00:21:56,150 --> 00:21:59,010
+واحد هيطلع عندي xn أسواه دلان أكبر من واحد فهو r
+
+283
+00:21:59,010 --> 00:22:03,290
+أكبر أو يساوي k ومنه على طول بما أن هذه اللي هو أكبر
+
+284
+00:22:03,290 --> 00:22:05,590
+من واحد حسب الـ test اللي قبل بشوية الـ summation للـ 
+
+285
+00:22:05,590 --> 00:22:11,290
+xn is divergent وده ما أعرفش أعمل أعملها زي ما 
+
+286
+00:22:11,290 --> 00:22:15,830
+عملتها قبل بشوية أنا none no conclusion وهذا 
+
+287
+00:22:15,830 --> 00:22:21,070
+حكيتها no conclusion When R بيساوي واحد either 
+
+288
+00:22:21,070 --> 00:22:28,830
+convergence or divergence is possible في حالة لما 
+
+289
+00:22:28,830 --> 00:22:32,730
+جئنا ... أخذنا الـ limit و جئنا الـ limit لأن
+
+290
+00:22:32,730 --> 00:22:36,750
+through الـ test بيساوي واحد معناه انه يمكن يكون
+
+291
+00:22:36,750 --> 00:22:43,190
+convergence و ممكن يكون divergence طيب نيجي الآن
+
+292
+00:22:43,190 --> 00:22:49,470
+للـ ratio test الـ ratio test مشابه أخذنا اللي هو 
+
+293
+00:22:49,470 --> 00:22:53,090
+الآن comparison test بشقيه العادي و الـ limit و
+
+294
+00:22:53,090 --> 00:22:55,890
+أخذنا الآن through الـ test بشقيه العادي و الـ limit
+
+295
+00:22:55,890 --> 00:22:59,630
+العادي اللي هو اللي قصدنا فيه اللي هو X أنوس واحدة
+
+296
+00:22:59,630 --> 00:23:05,910
+أكبر من واحد اللي هو أو أصغر اللي كانت الأولى و 
+
+297
+00:23:05,910 --> 00:23:08,350
+اللي بعدها limit comparison test نفس الأشياء أكبر
+
+298
+00:23:08,350 --> 00:23:13,440
+أو أصغر طيب الـ ratio test Fx بيساوي xn is a
+
+299
+00:23:13,440 --> 00:23:18,280
+sequence of non-zero terms هذه ميزتها إنها 
+
+300
+00:23:18,280 --> 00:23:21,760
+بيلزمهاش طبعا زي اللي قبلها بيلزمها الأولى
+
+301
+00:23:21,760 --> 00:23:25,920
+بيلزمها الـ comparison test بيلزمها تقارن بسيريز
+
+302
+00:23:25,920 --> 00:23:30,920
+أخرى الآن الـ root test والـ ratio test تقارن
+
+303
+00:23:30,920 --> 00:23:35,790
+بنفسها يعني من داخل نفسها بتقدر تعرف اللي هو ...
+
+304
+00:23:35,790 --> 00:23:38,810
+اللي هي بطريقة معينة تعرف إن هي converged ولا 
+
+305
+00:23:38,810 --> 00:23:42,810
+diverse يعني الآن Fx بساوي Xn is a sequence of non
+
+306
+00:23:42,810 --> 00:23:43,910
+-zero elements
+
+307
+00:23:46,750 --> 00:23:51,010
+of R and there is a positive number R أصغر من واحد
+
+308
+00:23:51,010 --> 00:23:55,730
+and a natural number K such that Xn زائد واحد على
+
+309
+00:23:55,730 --> 00:23:59,950
+Xn أصغر أو يساوي R for N أكبر أو يساوي K then the summation
+
+310
+00:23:59,950 --> 00:24:04,030
+Xn is absolutely convergent يعني الآن جئت أنت لجئت
+
+311
+00:24:04,030 --> 00:24:08,310
+Xn زائد واحد على Xn اللي جئناها دائماً أصغر أو يساوي 
+
+312
+00:24:08,310 --> 00:24:12,130
+R والـ R أصغر strictly من مين؟ من واحد يعني دائماً
+
+313
+00:24:12,130 --> 00:24:15,830
+الـ ratio هذا اللي بعده على اللي قبله اللي بعد على
+
+314
+00:24:15,830 --> 00:24:19,870
+اللي قبله اللي جئناها أصغر معناه أنه صارت اللي هي 
+
+315
+00:24:19,870 --> 00:24:23,890
+أشملها عمالها بتصغر الـ sequence كل ما ماشيت قدام
+
+316
+00:24:23,890 --> 00:24:27,330
+بيصير اللي ورا على اللي قدام أصغر من واحد اللي ورا على
+
+317
+00:24:27,330 --> 00:24:31,570
+اللي قدام أصغر من واحد يعني واضح أنه في اللي هو في
+
+318
+00:24:31,570 --> 00:24:36,410
+الـ submission للـ XN is absolutely convergent لأن
+
+319
+00:24:36,410 --> 00:24:39,570
+بيقول if there exists a natural number k such that
+
+320
+00:24:39,570 --> 00:24:44,650
+بعده بيصير تصرفها ان xn زي 1 على xn هيكون أكبر
+
+321
+00:24:44,650 --> 00:24:48,350
+أو يساوي 1 مدام أكبر أو يساوي 1 معناه صار اللي هو كل
+
+322
+00:24:48,350 --> 00:24:51,890
+ما مشيت قدام الـ term بيكبر مثلا بيكبر الـ term نفسه
+
+323
+00:24:51,890 --> 00:24:55,170
+إذا الـ limit مش هيروح للصفر إذا معناه انه صارت الـ
+
+324
+00:24:55,170 --> 00:25:01,530
+series divergent طيب الـ proof خلينا نبرهن ايه if 6
+
+325
+00:25:01,530 --> 00:25:06,550
+holds يعني لو هو كانت هذا متحقق then by induction
+
+326
+00:25:06,550 --> 00:25:12,590
+one can see that for M أكبر أو يساوي واحد K X K M
+
+327
+00:25:12,590 --> 00:25:18,890
+أصغر أو يساوي أرقص M X K بتصور مش صعب إثبات هذه 
+
+328
+00:25:18,890 --> 00:25:24,370
+for عندي خذ X الـ induction عالميا for M أكبر أو 
+
+329
+00:25:24,370 --> 00:25:32,360
+يساوي واحد على M اللي هنا بيصير xk زائد واحد اللي
+
+330
+00:25:32,360 --> 00:25:37,820
+هو xk زائد واحد هنا لأنها بتتحقق من k وطالع k زائد
+
+331
+00:25:37,820 --> 00:25:45,920
+واحد بيصير على الـ xk يعني أصغر أو يساوي R في xk درم
+
+332
+00:25:45,920 --> 00:25:52,980
+التفرق الطرفين في وسطين xk إذن هذه صحيحة R M في 
+
+333
+00:25:52,980 --> 00:25:56,020
+حالة الواحد صحيحة في حالة الـ M ساو واحد الآن
+
+334
+00:25:56,020 --> 00:26:01,420
+suppose that this true for M بدأت أبت صحيتها for me
+
+335
+00:26:01,420 --> 00:26:08,360
+in M زائد واحد X K زائد M زائد واحد بدأت أبت صحيتها
+
+336
+00:26:08,360 --> 00:26:12,940
+في حالة الـ M زائد واحد اللي هو حسب اللي هنا اللي 
+
+337
+00:26:12,940 --> 00:26:21,080
+أصغر أو يساوي الـ R ثنين في اللي هي هنا N زائد واحد S
+
+338
+00:26:21,080 --> 00:26:28,160
+زائد واحد K M K زائد M K زائد M إذا R في absolute
+
+339
+00:26:28,160 --> 00:26:34,280
+value X K زائد M ماشي لأن و بما أن هذا true for M
+
+340
+00:26:34,280 --> 00:26:38,840
+يعني هذا متحققه إذا من هنا بـ hypothesis induction 
+
+341
+00:26:38,840 --> 00:26:47,440
+بيصير R في R أس M في XK Y ساوية R أقصى M زايد واحد 
+
+342
+00:26:47,440 --> 00:26:54,500
+في XK يعني صارت هذه صحيحة for M زايد واحد إذا صارت 
+
+343
+00:26:54,500 --> 00:26:59,440
+صحيحة لكل M إذا هذه دائما صحيحة لأي M أكبر أو يساوي
+
+344
+00:26:59,440 --> 00:27:03,120
+واحد في ضوء العلاقة اللي هي 6 صحيحة 
+
+345
+00:27:06,690 --> 00:27:13,130
+إذاً هذا لكل M أكبر أو يساوي واحد عندي لكل N أكبر 
+
+346
+00:27:13,130 --> 00:27:17,350
+أو يساوي K الآن 
+
+347
+00:27:17,350 --> 00:27:27,330
+شيلي الـ K زائد M وحط مكانها N يعني N بتساوي K زائد 
+
+348
+00:27:27,330 --> 00:27:36,860
+M بصير هذه X Nأثر أو يساوي الـ M بتساوي N ناقص K و
+
+349
+00:27:36,860 --> 00:27:42,100
+X K زي ما هي X K لأنه شيلت الـ N و حطيت مكانها K 
+
+350
+00:27:42,100 --> 00:27:46,100
+زائد M والـ N طبعا اللي هي بتساوي K زائد M أكيد 
+
+351
+00:27:46,100 --> 00:27:50,400
+أكبر أو يساوي K إذن هذه اللي هي صحيحة إذن صار عندي
+
+352
+00:27:50,400 --> 00:27:56,340
+الآن اللي عشان بعد شوية هتستخدمها صار عندي الآن الـ 
+
+353
+00:27:56,340 --> 00:28:03,180
+absolute value للـ Xn أصغر أو يساوي R أُس N ناقص K 
+
+354
+00:28:03,180 --> 00:28:10,180
+في X K ماشي الحال هذا لكل N أكبر أو يساوي ايش K
+
+355
+00:28:10,180 --> 00:28:19,740
+طيب نكمل للبرهان الـ N summation للـ R أُس N 
+
+356
+00:28:19,740 --> 00:28:20,660
+converges
+
+357
+00:28:23,610 --> 00:28:29,250
+لأن الـ r مالها بين صفر و واحد مادام هذي متغيرت
+
+358
+00:28:29,250 --> 00:28:33,450
+طبعا هذا term مجرد عدد يعني term لأنه عند ك كهذا
+
+359
+00:28:33,450 --> 00:28:37,390
+هو شيء fixed يعني هو عبارة عن عدد والمتغير من الان
+
+360
+00:28:37,390 --> 00:28:44,510
+هذه اللي أنا الـ summation لها للـ r الناقص كيعني بس 
+
+361
+00:28:44,510 --> 00:28:48,670
+بنشيل K من الـ terms مش مشكلة بتضل اللي هو converge
+
+362
+00:28:48,670 --> 00:28:52,270
+اللي هي summation R أُس N converge ثم summation 
+
+363
+00:28:52,270 --> 00:28:56,430
+أُس R N ناقص K كيفيكس number عبارة عن converge ثم 
+
+364
+00:28:56,430 --> 00:28:59,530
+صارت هذه الـ series converge من باب أولى للـ series
+
+365
+00:28:59,530 --> 00:29:02,670
+اللي أصغر منها اللي هتكون converge ثم صارت عندي 
+
+366
+00:29:02,670 --> 00:29:05,070
+summation absolute value converge أو بمعنى آخر
+
+367
+00:29:05,070 --> 00:29:12,450
+summation XN is absolutely convergent الآن نيجي لـ
+
+368
+00:29:12,450 --> 00:29:18,050
+الجزء الثاني الآن إذا كانت اللي هي سبعة holes سبعة
+
+369
+00:29:18,050 --> 00:29:21,970
+هي سبعة شايفينها هي سبعة اللي هو الـ XN زائد واحد
+
+370
+00:29:21,970 --> 00:29:28,990
+على XN أكبر أو يساوي واحد لكل N أكبر أو يساوي
+
+401
+00:31:38,410 --> 00:31:44,230
+الأول let R1 satisfies R1 أكبر من R أصغر من 1 then
+
+402
+00:31:44,230 --> 00:31:48,810
+اللي هو لأن طبيعي between any two real numbers فيه
+
+403
+00:31:48,810 --> 00:31:53,770
+real number سميته مين؟ R1 الآن بما أن ال limit هذا
+
+404
+00:31:53,770 --> 00:31:57,370
+بيساوي R يدل كل إيبسلون أكبر من 0 من ضمن مين
+
+405
+00:31:57,370 --> 00:32:02,760
+الإيبسلون اللي بدأ أخدها؟ R1-R Then for epsilon
+
+406
+00:32:02,760 --> 00:32:07,280
+بساوي R واحد ناقص R أكبر من صفر there exists K
+
+407
+00:32:07,280 --> 00:32:10,260
+elements in N such that the absolute value لهذا
+
+408
+00:32:10,260 --> 00:32:13,160
+ناقص هذا أصغر من مين؟ من ال epsilon هي R واحد ناقص
+
+409
+00:32:13,160 --> 00:32:18,180
+مين ناقص R هذا صحيح لكل مين؟ لكل N أكبر أو يساوي K
+
+410
+00:32:18,800 --> 00:32:23,600
+الآن نفردها هذه بس بتاخد الجهة اللي على اليمين هي
+
+411
+00:32:23,600 --> 00:32:27,420
+اللي بتمنى اللي هو صار عندى xn زائد واحد على xn
+
+412
+00:32:27,420 --> 00:32:31,540
+أصغر من r واحد ناقص r ولمّا تجيب هذا على الجهة
+
+413
+00:32:31,540 --> 00:32:34,240
+الثانية بعد ما فكرا absolute value بصير r ويساوي
+
+414
+00:32:34,240 --> 00:32:39,400
+ايش بتساوي؟ ويساوي يساوي r واحد الآن و تساوي R واحد
+
+415
+00:32:39,400 --> 00:32:44,620
+إذا اللي هي .. اللي هيكون عندى اللي بال ..
+
+416
+00:32:44,620 --> 00:32:47,480
+بالنظرية اللي هي تسعة اثنين خمسة هتطلع عندى
+
+417
+00:32:47,480 --> 00:32:51,280
+الabsolute value xn is
+
+418
+00:32:51,280 --> 00:32:56,110
+absolutely convergent هيطلع عندي summation للـ xn
+
+419
+00:32:56,110 --> 00:32:59,350
+is absolutely convergent اللي هي من نظرية تسعة
+
+420
+00:32:59,350 --> 00:33:02,450
+اثنين خمسة لإنه صار عندي ال absolute value لـ xn
+
+421
+00:33:02,450 --> 00:33:07,750
+زائد واحد على xn أصغر من رقم أصغر من واحد لكل n
+
+422
+00:33:07,750 --> 00:33:11,710
+أكبر أو يساوي k من عند k وطالع بمعنى آخر صار عندي اللي
+
+423
+00:33:11,710 --> 00:33:15,530
+هي ال series is convergent لإنه هذا أصلا corollary
+
+424
+00:33:15,530 --> 00:33:21,830
+للي جابلها الآن وناخد اللي هو الجزء الثاني من اللي
+
+425
+00:33:21,830 --> 00:33:25,470
+هي ال .. ال .. ال .. البرهان اللي هو اللي بتعلق في
+
+426
+00:33:25,470 --> 00:33:28,330
+الجزء الثاني من ال Corollary بدنا نفترض انه limit
+
+427
+00:33:28,330 --> 00:33:33,390
+لل Xn زائد واحد ع ال Xn اللي هو يساوي R أكبر من
+
+428
+00:33:33,390 --> 00:33:37,910
+واحد وبدنا نشوف اللي هو كيف diverse يعني بدأ افترض
+
+429
+00:33:37,910 --> 00:33:40,670
+انه limit limit
+
+430
+00:33:42,720 --> 00:33:46,740
+Xn زائد واحد على Xn as n goes to infinity اللي هو
+
+431
+00:33:46,740 --> 00:33:51,940
+إجماله عبارة عن رقم اللي هو أكبر من واحد نسميها R
+
+432
+00:33:51,940 --> 00:33:58,260
+يساوي R أكبر من واحد ونشوف كيف أن هو عندي اللي هي
+
+433
+00:33:58,260 --> 00:34:04,040
+diverse الآنخد الـ Epsilon حلو خد Epsilon for
+
+434
+00:34:04,040 --> 00:34:09,560
+Epsilon for Epsilon يساوي R ناقص واحد أكبر من صفر
+
+435
+00:34:09,560 --> 00:34:13,220
+there exists K element in N such that for every N
+
+436
+00:34:13,220 --> 00:34:19,000
+أكبر أو يساوي K بطلع عنده هو XN زائد واحد على XN
+
+437
+00:34:19,510 --> 00:34:25,650
+absolute value ناقص الـ R أكبر من أصغر من مين؟ من
+
+438
+00:34:25,650 --> 00:34:30,190
+إبسلون اللي هي عبارة عن R ناقص واحد هي ال إبسلون
+
+439
+00:34:30,190 --> 00:34:33,130
+اللي أخدت R ناقص واحد أو زي ما هو عاملها هان أصغر
+
+440
+00:34:33,130 --> 00:34:36,550
+من هيها أصغر من R ناقص واحد اللي هي الإبسلون اللي
+
+441
+00:34:36,550 --> 00:34:40,570
+هان فوق فوق اللي هان مش بيهمنيش الجهة اللي هان
+
+442
+00:34:40,570 --> 00:34:43,850
+بيهمني الجهة الثانية عكس اللي أولاني اللي عن حيط
+
+443
+00:34:43,850 --> 00:34:47,790
+لعندي xn زائد واحد على xn أكبر من واحد اللي هي r
+
+444
+00:34:47,790 --> 00:34:50,870
+ناقص R ناقص واحد اللي هي ايش بتطلع؟ واحد صار هذا
+
+445
+00:34:50,870 --> 00:34:54,030
+المقدار أكبر من واحد و بال test اللي قبل بشوية ال
+
+446
+00:34:54,030 --> 00:34:57,790
+theorem تسعة اثنين خمسة بما أنه صار هذا من عند n
+
+447
+00:34:57,790 --> 00:35:01,670
+أكبر أو يساوي k وطالع من عند k وطالع طلع عندي هذا
+
+448
+00:35:01,670 --> 00:35:05,050
+أكبر من واحد معناته صارت ال information هذه is
+
+449
+00:35:05,050 --> 00:35:10,340
+divergent وطبعا اللي دايما بنقولها دايما اللي هي no
+
+450
+00:35:10,340 --> 00:35:14,320
+conclusion و ال R بتساوي واحد اللي هو ممكن تكون
+
+451
+00:35:14,320 --> 00:35:17,080
+convergent وممكن تكون divergent عشان هذا الأساس
+
+452
+00:35:17,080 --> 00:35:22,160
+بنقول ال test fail في حالة ال R بتساوي واحد و نبحث
+
+453
+00:35:22,160 --> 00:35:26,900
+عن test آخر و الآن بنيجي ل اللي هو المرة الجاية إن
+
+454
+00:35:26,900 --> 00:35:30,440
+شاء الله بناخد ال integral test وإلى لقاء آخر
+
+455
+00:35:30,440 --> 00:35:31,400
+والسلام عليكم و رحمة الله 
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gz91ZmeweRY_raw.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gz91ZmeweRY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..dbebb10b4572deec11962c1ce4ce5cbf3cdc7324
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/gz91ZmeweRY_raw.srt
@@ -0,0 +1,1848 @@
+1
+00:00:05,030 --> 00:00:07,750
+بسم الله الرحمن الرحيم الحمد لله رب العالمين
+
+2
+00:00:07,750 --> 00:00:10,710
+والصلاة والسلام على سيدنا محمد وعلى آله وصحبه
+
+3
+00:00:10,710 --> 00:00:16,270
+أجمعين هذه هي المحاضرة رقم 26 مساق تحليل حقيقه 2
+
+4
+00:00:16,270 --> 00:00:20,290
+طلاب طالبات الجامعة الإسلامية قسم رياضيات كلية
+
+5
+00:00:20,290 --> 00:00:24,650
+العلوم اليوم هنكمل حديثنا في شطر 9 ولكن في section
+
+6
+00:00:24,650 --> 00:00:29,050
+جديد ال section هنبدأ فيه اللي هو tests for
+
+7
+00:00:29,050 --> 00:00:36,950
+absolute convergenceاختبارات الـ Series التي تحتوي
+
+8
+00:00:36,950 --> 00:00:40,490
+على الـ Positive Terms أو اللي هو بمفهوم الـ
+
+9
+00:00:40,490 --> 00:00:46,010
+Absolute Convergence نأتي الآن للأولاني المشهور
+
+10
+00:00:46,010 --> 00:00:51,130
+921بنسميه ال comparison test او اللي هو اختبار
+
+11
+00:00:51,130 --> 00:00:55,490
+المقارن ال let x يعني اللي بيكون عندنا فيه C ال
+
+12
+00:00:55,490 --> 00:00:58,910
+series و بنقارنها ب series أخرى بنعبجها عارفين
+
+13
+00:00:58,910 --> 00:01:02,930
+اللي هو converged ولا diverse وبناء عليه بنحكم على
+
+14
+00:01:02,930 --> 00:01:07,250
+ال series اللي بيبقى انقارنها اللي هي انها
+
+15
+00:01:07,250 --> 00:01:11,900
+converged او diverseLed X بيساوي XN وY بيساوي YN
+
+16
+00:01:11,900 --> 00:01:17,420
+بـReal Sequences Suppose that for some natural
+
+17
+00:01:17,420 --> 00:01:22,340
+numbers K اللي هو XN أكبر أو أصغر أو يساوي YN يعني
+
+18
+00:01:22,340 --> 00:01:26,400
+بمعنى آخر أننا بنحكي عن Sequence of Positive Terms
+
+19
+00:01:26,400 --> 00:01:32,160
+ماشي إذا هذه اللي هي عبارة عن Testلـ Series مكوّنة
+
+20
+00:01:32,160 --> 00:01:36,420
+الـ Terms تبعتها من Positive Terms for N أكبر و
+
+21
+00:01:36,420 --> 00:01:40,320
+ساوة و K then the convergence of summation yn
+
+22
+00:01:40,320 --> 00:01:44,320
+implies the convergence of xn and the divergence
+
+23
+00:01:44,320 --> 00:01:48,440
+of xn implies the divergence of summation yn اللي
+
+24
+00:01:48,440 --> 00:01:53,680
+أنا بقول ليه ال test بيقول بيحكيلي معايا ليه ان لو
+
+25
+00:01:53,680 --> 00:01:56,820
+كان في عندي two sequences xn و yn هم اللي بيكون
+
+26
+00:01:56,820 --> 00:02:01,920
+جسم اللي هو ال seriesباجي إذا كان عندي Xn أصغر
+
+27
+00:02:01,920 --> 00:02:05,700
+سواء و Yn لكل انه طبعا و اتنتين positive باجي بقول
+
+28
+00:02:05,700 --> 00:02:10,800
+إذا كان اللي هي الكبيرة اللي هي converts ال Yn
+
+29
+00:02:10,800 --> 00:02:14,280
+أكيد من باب أولى الصغيرة أشمالها converts يعني ال
+
+30
+00:02:14,280 --> 00:02:18,520
+convergence لل Yn بيعطي ال convergence لمن؟ لل Xn
+
+31
+00:02:19,050 --> 00:02:23,830
+إذا كانت الصغيرة diverges من باب أولاد كل كبيرة
+
+32
+00:02:23,830 --> 00:02:27,750
+إيش ما لها، diverges خلّينا نبرهن الآن Suppose
+
+33
+00:02:27,750 --> 00:02:33,730
+that yn is convergent، ماشي الحال؟suppose that
+
+34
+00:02:33,730 --> 00:02:37,090
+summation yn converges نفترض لكبير أنها converges
+
+35
+00:02:37,090 --> 00:02:41,050
+then for every ي أكبر من صفر there exists m of
+
+36
+00:02:41,050 --> 00:02:45,850
+epsilon element in n such that for every m أكبر من
+
+37
+00:02:45,850 --> 00:02:50,330
+n و أكبر من م يبسلون اللي هو ال الكوشي criterion
+
+38
+00:02:50,330 --> 00:02:55,530
+اللي هو y واحد زي ym ناقص y واحد زي yn أصغر من مين
+
+39
+00:02:55,530 --> 00:03:02,870
+من إبسلون ماشي الحال الان هذا الكلاماللي هو عندي
+
+40
+00:03:02,870 --> 00:03:06,710
+صحيح لكل N أكبر وسوء ASK يعني مش من بداية ال
+
+41
+00:03:06,710 --> 00:03:10,970
+sequence مش كتير مهم أنا عند بداية ال sequence ان
+
+42
+00:03:10,970 --> 00:03:12,950
+اللي بحكم على ال convergence و ال divergence اللي
+
+43
+00:03:12,950 --> 00:03:17,330
+هو mean اللي هو ال terms من عند حد إلى ما لنهاية
+
+44
+00:03:17,330 --> 00:03:20,630
+اللي هو اللي هيأثر على المجموع انه اللي هو موجود
+
+45
+00:03:20,630 --> 00:03:26,630
+او مش موجود طيب الآن هذه اللي هي صحيحة لكل N و M
+
+46
+00:03:26,630 --> 00:03:32,180
+أكبر من M اللي لجناهاوعندي هذه صحيحة لكل mean N
+
+47
+00:03:32,180 --> 00:03:37,840
+أكبر وساوة K عشان أستخدم واحد و أستخدم star لازم
+
+48
+00:03:37,840 --> 00:03:42,520
+أختار أقول from one and star we have for every
+
+49
+00:03:42,520 --> 00:03:46,480
+epsilon there exists N عشان أستخدم واحد و star بدي
+
+50
+00:03:46,480 --> 00:03:50,500
+أخد N هي ال maximum بين ال K و بين ال M of epsilon
+
+51
+00:03:50,500 --> 00:03:54,720
+such thatلما تكون ال M أكبر من N و أكبر من ال K
+
+52
+00:03:54,720 --> 00:03:58,140
+الماكسيموم معناته أكبر من K و أكبر من هذه معناته
+
+53
+00:03:58,140 --> 00:04:02,880
+هذه صحيحة و هذه صحيحة يعني بحج اللي الناس تخدمها
+
+54
+00:04:02,880 --> 00:04:09,920
+we have X1 زيد X2 زيد XM اللي هي ال partial sum ل
+
+55
+00:04:09,920 --> 00:04:17,290
+X و هذه ناقص اللي هي X1 لعند XNأترحى من بعض اللي
+
+56
+00:04:17,290 --> 00:04:21,670
+هو حيساوى الـ XM زائد واحد لعند الـ XM الـ XN زائد
+
+57
+00:04:21,670 --> 00:04:25,650
+واحد أكيد اللي هو أصغر أشهر من YN زائد واحد الـ XN
+
+58
+00:04:25,650 --> 00:04:28,150
+زائد اتنين أصغر من YN زائد اتنين لما أصل الـ XM
+
+59
+00:04:28,150 --> 00:04:33,770
+أصغر أشهر من الـ YMالان هذه عبارة عن مين؟ عن هذه
+
+60
+00:04:33,770 --> 00:04:38,470
+ناقص هذه اللي هي Y1 زي Ym ناقص Y1 زي Yn اللي هي
+
+61
+00:04:38,470 --> 00:04:42,610
+أصغر من وين من Y لإنه converges اللي هي ال Yn بناء
+
+62
+00:04:42,610 --> 00:04:49,190
+عليه اللي هو أثبتنا إن ال SM ناقص ال SN بالنسبة لل
+
+63
+00:04:49,190 --> 00:04:53,570
+X اللي هي satisfies كوشي كراي كتير إن أنا أصغر من
+
+64
+00:04:53,570 --> 00:04:58,510
+Y معناه تصميش لل XN إيش ما لها convergesالعنوان
+
+65
+00:04:58,510 --> 00:05:03,110
+الثاني هو Contrapositive للعنوان الأول لماذا؟ لأن
+
+66
+00:05:03,110 --> 00:05:09,870
+لو كانت الـ summation Xn مختلفة وليس مرتبطة، فأكيد
+
+67
+00:05:09,870 --> 00:05:14,390
+ستعطي الـ summation Yn أشمالها التي ليست مرتبطة
+
+68
+00:05:14,650 --> 00:05:19,810
+يعني diverse يعني الجزء الثاني هذا ما هو إلا عبارة
+
+69
+00:05:19,810 --> 00:05:23,650
+عن اللي هو الجزء الأول بس شماله موفود بال
+
+70
+00:05:23,650 --> 00:05:27,890
+contraposition يعني B implies Q يعني not Q implies
+
+71
+00:05:27,890 --> 00:05:32,730
+not B طيبالان نيجي هذا اللي هو الـ Comparison Test
+
+72
+00:05:32,730 --> 00:05:38,070
+اللي هو المقارنة المباشرة بين ال terms تبعات مين
+
+73
+00:05:38,070 --> 00:05:41,890
+تبعات اللي هو الـ sequences أحياناً عملياً هذه مش
+
+74
+00:05:41,890 --> 00:05:46,830
+كتير الناس بترغبها في test تاني comparison test
+
+75
+00:05:46,830 --> 00:05:50,530
+لكن هذا ال test اللي هو بنسميه limit comparison
+
+76
+00:05:50,530 --> 00:05:53,910
+test وهذا أسهل في الاستخدام وأوسع في الاستخدام
+
+77
+00:05:53,910 --> 00:05:59,310
+والناس بتنيل عادة لاستخدامهاماشي الحال الانصاب
+
+78
+00:05:59,310 --> 00:06:02,450
+both that X بالساوية XN وY بالساوية YN are
+
+79
+00:06:02,450 --> 00:06:07,570
+positive serial sequences if the relation limit XN
+
+80
+00:06:07,570 --> 00:06:12,730
+على YN لان limit XN على YN لا يساوي سفر يعني عبارة
+
+81
+00:06:12,730 --> 00:06:17,400
+عن عدد هذايعني عبارة عن عدد يعني سير ال XN و سير
+
+82
+00:06:17,400 --> 00:06:23,260
+ال YN جريب من بعض لما نقول بطلع عدد limit XN على
+
+83
+00:06:23,260 --> 00:06:29,000
+YN يعني سيرهم جريب من بعض لدرجة أنه في الآخر بطلع
+
+84
+00:06:29,000 --> 00:06:32,280
+عدد يعني لا هو طلع مالة نهاية نقول اللي فوق أسرع
+
+85
+00:06:32,280 --> 00:06:37,180
+كتير ولا طلع سفر نقول اللي تحت أسرع كتير لأ اللي
+
+86
+00:06:37,180 --> 00:06:42,770
+هو limit XN على YN طلعلي عدد عشان هيكلما هذا يحدث
+
+87
+00:06:42,770 --> 00:06:45,970
+if the relation limit xn على yn لا يساوي سفر hold
+
+88
+00:06:45,970 --> 00:06:51,570
+then ال summation xn is convergent if and only if
+
+89
+00:06:51,570 --> 00:06:56,650
+ال summation ال yn أشمال is convergent لأن سيرهما
+
+90
+00:06:56,650 --> 00:07:01,770
+متقارب عشان هيك بنقول يا التنتين converges يا
+
+91
+00:07:01,770 --> 00:07:08,570
+التنتين diverse لكن if the limit in two هنا is
+
+92
+00:07:08,570 --> 00:07:13,540
+zeroمعناته اللي تحت Star طير على المالة نهاية يعني
+
+93
+00:07:13,540 --> 00:07:18,400
+صار كله على إيش بساوي سفر فبكون الآن ال YN إذا
+
+94
+00:07:18,400 --> 00:07:22,840
+الكبير Convergent من باب أولى لصغير إيش ماله؟
+
+95
+00:07:22,840 --> 00:07:27,000
+Convergent لأنه هذا صار سفر معناته هذا أسرع من هذا
+
+96
+00:07:27,000 --> 00:07:32,340
+بكتير معناته لو كان اللي تحت Converged أكيد أكيد
+
+97
+00:07:32,340 --> 00:07:36,600
+أكيد أكيدهيكون اللي فوق اشمله convergence لأن اللي
+
+98
+00:07:36,600 --> 00:07:42,420
+فوق بيكون أبطأ أو أقل قيمة يعني نحو الكبر يعني
+
+99
+00:07:42,420 --> 00:07:46,040
+معناته انه اللي هو ال summation لل YN ال
+
+100
+00:07:46,040 --> 00:07:49,120
+convergence له على طول بيعطي اللي هو ال
+
+101
+00:07:49,120 --> 00:07:52,980
+convergence لل XN هذه حول اللي هو نص النظرية نيجي
+
+102
+00:07:52,980 --> 00:07:59,670
+الآنللبرهان نأتي لبرهان نثبت أنه نفترض ان ال
+
+103
+00:07:59,670 --> 00:08:02,810
+summation نثبت ان ال summation XN is convergent
+
+104
+00:08:02,810 --> 00:08:05,510
+فندهلي في ال summation YN اللي هو convergent الان
+
+105
+00:08:05,510 --> 00:08:09,790
+بدنا نأتي للبرهان قلنا عندي limit ال XN على ال YN
+
+106
+00:08:09,790 --> 00:08:13,430
+ايش بيساوي؟ بيساوي L لأ تساوي سفرإذاً حسب التعريف
+
+107
+00:08:13,430 --> 00:08:16,050
+الـ Epsilon Delta Definition أو الـ Epsilon K
+
+108
+00:08:16,050 --> 00:08:19,650
+Definition for Epsilon بساوة L على 2 أخدت لأي
+
+109
+00:08:19,650 --> 00:08:22,550
+Epsilon أخدت من ضمنها L على 2 للحسابات there
+
+110
+00:08:22,550 --> 00:08:27,210
+exists K such that اللي هو XN على YN ناقص L أصغر
+
+111
+00:08:27,210 --> 00:08:30,470
+من Epsilon اللي هي L على 2 لكل N أكبر أو يساوي K
+
+112
+00:08:30,470 --> 00:08:35,350
+خلّيني نفرضها هذه بيصير عند XN على YN أكبر من L
+
+113
+00:08:35,350 --> 00:08:40,280
+ناقص L على 2 وأصغر من L زائد من L على 2الان صار
+
+114
+00:08:40,280 --> 00:08:43,560
+عندى الان اللى هى ال .. ال .. ال .. ال .. ال .. ال
+
+115
+00:08:43,560 --> 00:08:44,080
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+116
+00:08:44,080 --> 00:08:44,380
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+117
+00:08:44,380 --> 00:08:44,700
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+118
+00:08:44,700 --> 00:08:45,400
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+119
+00:08:45,400 --> 00:08:45,680
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+120
+00:08:45,680 --> 00:08:45,940
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+121
+00:08:45,940 --> 00:08:46,620
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+122
+00:08:46,620 --> 00:08:47,900
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+123
+00:08:47,900 --> 00:08:48,420
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+124
+00:08:48,420 --> 00:08:48,420
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+125
+00:08:48,420 --> 00:08:50,320
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+126
+00:08:50,320 --> 00:08:59,540
+ال .. ال .. ال .. ال .. ال ..
+
+127
+00:08:59,540 --> 00:09:01,420
+ال .. ال ..
+
+128
+00:09:06,850 --> 00:09:11,550
+بال test اللي قبل بشوية إذا ال summation yn مش هذا
+
+129
+00:09:11,550 --> 00:09:16,790
+اللي هنستخدمه هنستخدم اللي هو xn أكبر من yn في L
+
+130
+00:09:16,790 --> 00:09:19,750
+على 2 إذا كانت هذي convergent هتكون هذي إيش مهلها
+
+131
+00:09:19,750 --> 00:09:24,410
+convergent وبما أن yn في L على 2 convergent هتطلع
+
+132
+00:09:24,410 --> 00:09:28,410
+عندي اللي هي ال summation yn إيش مهلها is
+
+133
+00:09:28,410 --> 00:09:34,660
+convergentماشي طيب الان conversely بدي افترض اللي
+
+134
+00:09:34,660 --> 00:09:39,480
+هو ال summation ل Yn ايش ماله is convergent ال
+
+135
+00:09:39,480 --> 00:09:41,920
+summation ل Yn is convergent مدام ال summation ل
+
+136
+00:09:41,920 --> 00:09:46,680
+Yn is convergent هيكون ال summation اللي هي
+
+137
+00:09:46,680 --> 00:09:50,500
+التلاتة في L على 2 في Yn is convergent لأن هذا
+
+138
+00:09:50,500 --> 00:09:54,000
+عبارة عن ثابتهذا لما انفرضنا الـ yn is summation
+
+139
+00:09:54,000 --> 00:09:57,320
+الـ yn convergent إذا هيكون ال summation الكبير
+
+140
+00:09:57,320 --> 00:10:00,940
+هذا convergent من باب أو لا ال summation للـ xn
+
+141
+00:10:00,940 --> 00:10:06,200
+إيش ماله is convergent يعني اتبعوا اللي حكيته هان
+
+142
+00:10:06,200 --> 00:10:14,030
+هذه اللي هي ال convergenceللـ Xn اللي هي الكبيرة
+
+143
+00:10:14,030 --> 00:10:17,850
+بيعطي ال convergence لهذه هو من ثم ال convergence
+
+144
+00:10:17,850 --> 00:10:22,710
+لهذه لأن في الجزء الثاني ال convergence لل Yn
+
+145
+00:10:22,710 --> 00:10:26,430
+بيعطي ال convergence لهذه ال convergence لهذه اللي
+
+146
+00:10:26,430 --> 00:10:31,930
+هو الكبير بيعطي ال convergence لمن؟ لل Xn طيب نيجي
+
+147
+00:10:31,930 --> 00:10:35,910
+الآن طبعا
+
+148
+00:10:35,910 --> 00:10:42,080
+ال .. ال .. ال .. المطلوب بي ..بدنا نفترض
+
+149
+00:10:44,730 --> 00:10:51,270
+suppose that limit xn على yn بساوة سفر ونفترض أن
+
+150
+00:10:51,270 --> 00:10:54,130
+الـ yn أشمالها is convergent بالذات بت الـ xn
+
+151
+00:10:54,130 --> 00:10:59,330
+أشمالها is convergent لأن شو معناه limit xn على yn
+
+152
+00:10:59,330 --> 00:11:03,230
+بساوة سفر لكل y أكبر من سفر؟ there exists k
+
+153
+00:11:03,230 --> 00:11:06,810
+element in n such that xn على yn أصغر من مين من
+
+154
+00:11:06,810 --> 00:11:10,810
+إبسلون لكل n أكبر وسوء k هذا اللي هو تعريف ال
+
+155
+00:11:10,810 --> 00:11:15,700
+limit لل xn على yn بساوة سفرومنه هذا دروب طرفين في
+
+156
+00:11:15,700 --> 00:11:20,680
+وسطين XN أصلا من YN في Y ن إحنا مفترضين أن ال YN
+
+157
+00:11:20,680 --> 00:11:24,240
+is convergent يعني ال Y في ال YN ثابتة ما هي ال Y
+
+158
+00:11:24,240 --> 00:11:27,620
+is convergent إذا كان الكبيرة convergent من باب
+
+159
+00:11:27,620 --> 00:11:32,680
+أولى الصماش لل XN إيش هتكون اللي هي is convergent
+
+160
+00:11:32,680 --> 00:11:39,020
+by اللي هو comparison test الأصليالان اذا خلصنا من
+
+161
+00:11:39,020 --> 00:11:42,300
+ال testين اللي هو ال comparison test وال limit
+
+162
+00:11:42,300 --> 00:11:45,880
+comparison test وكانت ال testين عبارة عن على
+
+163
+00:11:45,880 --> 00:11:50,520
+positive sequences الان بدنا نحكي عن حاجة اسمها
+
+164
+00:11:50,520 --> 00:11:53,700
+the root and the ratio test نشوف ال root و ال
+
+165
+00:11:53,700 --> 00:11:57,260
+ratio test ال test الأولان اللي هو ال root test
+
+166
+00:11:57,260 --> 00:12:03,010
+ايه؟ fx بسوي xnis a sequence in A and R and there
+
+167
+00:12:03,010 --> 00:12:07,410
+exists a positive number R أصغر من واحد and a
+
+168
+00:12:07,410 --> 00:12:11,590
+natural number K such that يعني الخاصية هذه بدوا
+
+169
+00:12:11,590 --> 00:12:16,590
+إياها X N أسواحد على N أصغر أو ساوي R تتحقق لكل N
+
+170
+00:12:16,590 --> 00:12:20,550
+أكبر أو يساوي K من عند K وطالع مش مشكلةلأن أنا
+
+171
+00:12:20,550 --> 00:12:22,670
+اللي في ال divergence و ال convergence مين اللي
+
+172
+00:12:22,670 --> 00:12:26,990
+بتحكم اللي هو ال terms اللي لما .. لإنها بتروح إلى
+
+173
+00:12:26,990 --> 00:12:29,890
+مالة نهاية يعني لو كان أول مليون term أو أول متين
+
+174
+00:12:29,890 --> 00:12:33,970
+مليون أو جد ما يكون في الأول اللي هو لا تحقق
+
+175
+00:12:33,970 --> 00:12:38,250
+الخاصية اللي بديها أنا بهم مني اللي فيما بعد يحقق
+
+176
+00:12:38,250 --> 00:12:40,550
+الخاصية اللي بديها اللي بدا تحكم على ال
+
+177
+00:12:40,550 --> 00:12:44,950
+convergence أو ال divergence إذن الآن لو كان عندي
+
+178
+00:12:44,950 --> 00:12:49,520
+X أقص .. X أقص واحد أنا الأصغر يستخدم Rلكل n أكبر
+
+179
+00:12:49,520 --> 00:12:51,020
+يساوي كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+180
+00:12:51,020 --> 00:12:53,220
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+181
+00:12:53,220 --> 00:13:03,200
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+182
+00:13:03,200 --> 00:13:05,720
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+183
+00:13:05,720 --> 00:13:05,720
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+184
+00:13:05,720 --> 00:13:05,720
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+185
+00:13:05,720 --> 00:13:15,340
+كتابة كتابة كتابة كتابة كتابة كتابة كتابة
+
+186
+00:13:15,340 --> 00:13:22,200
+كتنفترض أنه تلاتة holes يعني نفترض أنه XN أسواحد
+
+187
+00:13:22,200 --> 00:13:26,500
+على N أصغر أو يساوي R لكل N أكبر أو يساوي K الان
+
+188
+00:13:26,500 --> 00:13:29,760
+منها هيكون عند ال absolute value XN أكبر أو يساوي
+
+189
+00:13:29,760 --> 00:13:35,680
+0 أصغر أو يساوي 100 RN لكل N أكبر أو يساوي K الان
+
+190
+00:13:37,230 --> 00:13:42,990
+الـ summation للـ R أُس عن R نحن ناخدها أصغر من
+
+191
+00:13:42,990 --> 00:13:45,950
+واحد و positive طبعاً أصغر من واحد معناته ال
+
+192
+00:13:45,950 --> 00:13:50,250
+summation للـ R أن converge مظبوط؟ مدام الـ R أن
+
+193
+00:13:50,250 --> 00:13:55,310
+converge فال summation لل XN is converge يعني
+
+194
+00:13:55,310 --> 00:13:58,150
+بمعنى أخر صارت ال summation لل XN is absolutely
+
+195
+00:13:58,150 --> 00:14:06,100
+convergent طيبsuppose that أربعة holds اللي هي مين
+
+196
+00:14:06,100 --> 00:14:10,840
+أربعة هذا أكبر أو ساوء واحد لأن لكل N أكبر أو ساوء
+
+197
+00:14:10,840 --> 00:14:17,920
+K معناته اللي هو ال XN اللي هي أس واحد على N لو
+
+198
+00:14:17,920 --> 00:14:23,700
+جيت أخدته limitها limit اللي هي ال XN هيكون عند ال
+
+199
+00:14:23,700 --> 00:14:28,600
+absolute value لل XNأكبر أو ساوء واحد يعني limit
+
+200
+00:14:28,600 --> 00:14:33,340
+ال absolute value ل Xn as n goes to infinity أكيد
+
+201
+00:14:33,340 --> 00:14:37,640
+أكبر أو ساوء واحد إذا exist يعني بتسويش سفر مدام
+
+202
+00:14:37,640 --> 00:14:41,920
+بتسويش سفر إذا نصممش لل Xn بال test اللي هو
+
+203
+00:14:41,920 --> 00:14:46,780
+الأولان اللي أخدناهالان مدام الـ summation xn الـ
+
+204
+00:14:46,780 --> 00:14:51,260
+absolute value xn does not converge to 0 إذا هتكون
+
+205
+00:14:51,260 --> 00:14:55,580
+الـ xn does not converge to 0 ومن ثم ال summation
+
+206
+00:14:55,580 --> 00:15:00,560
+للـ xn أشملها diverse حسب اللي هو اللي قلنا عنه ال
+
+207
+00:15:00,560 --> 00:15:03,420
+divergence test اللي هو ال summation للـ xn
+
+208
+00:15:03,420 --> 00:15:06,820
+converges بلاقاء ال limit للـ xn بساوة 0 لكن عندي
+
+209
+00:15:06,820 --> 00:15:11,360
+طلعت limit للـ xn لا تساوة 0 طيب corollary لللي
+
+210
+00:15:11,360 --> 00:15:15,870
+فوقالأن الـ Corollary بتقول ما هي ليه؟ let X
+
+211
+00:15:15,870 --> 00:15:20,230
+بيساوي Xn بيبقى Sequence اند R and let R بيساوي
+
+212
+00:15:20,230 --> 00:15:25,350
+Limit Xn أس واحدة لان هناك كانت اللي هي بتاخد ال
+
+213
+00:15:25,350 --> 00:15:29,830
+and roots لمن؟ لل terms و بتشوف اللي هنا إذا كان
+
+214
+00:15:29,830 --> 00:15:33,410
+ال and roots لل terms اللي هي أكبر أو يساوي R من
+
+215
+00:15:33,410 --> 00:15:43,630
+عند K و طالعالان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+216
+00:15:43,630 --> 00:15:48,470
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+217
+00:15:48,470 --> 00:15:48,470
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+218
+00:15:48,470 --> 00:15:48,470
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+219
+00:15:48,470 --> 00:15:48,470
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+220
+00:15:48,470 --> 00:15:48,530
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+221
+00:15:48,530 --> 00:15:48,750
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+222
+00:15:48,750 --> 00:15:49,210
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+223
+00:15:49,210 --> 00:15:49,210
+بتحكم ليه؟ الان بتحكم ليه؟ الان بتحكم ليه؟ الان
+
+224
+00:15:49,210 --> 00:15:53,220
+بتحكم ليه؟ الان بتحكم ليه؟نفترض إن Xn بيكون
+
+225
+00:15:53,220 --> 00:15:57,500
+سيكوينس في R وR بيسوى Limit Xn plus 1 لـ N نفترض
+
+226
+00:15:57,500 --> 00:16:02,840
+إن هذا الـ Limit موجود ثم الصممش للـ Xn هو
+
+227
+00:16:02,840 --> 00:16:10,360
+بالتأكيد مرتبط لما R أصغر من 1 وهو مرتبط عندما R
+
+228
+00:16:10,360 --> 00:16:13,140
+أكبر من 1 وهذا ال test انتوا عارفينه يعني بمعنى
+
+229
+00:16:13,140 --> 00:16:18,040
+آخر باجي بقول باخد Limit Xn
+
+230
+00:16:18,970 --> 00:16:23,270
+أُس واحدة لأن أس أن قصة infinity طلع عندي ايش
+
+231
+00:16:23,270 --> 00:16:28,550
+بيساوي بيساوي R احنا مفترضين ان ال limit exist اذا
+
+232
+00:16:28,550 --> 00:16:34,550
+R أكبر من واحد خلاص ال series xn divers اذا R أصغر
+
+233
+00:16:34,550 --> 00:16:39,030
+من واحد ال series ايش مالها converge و absolutely
+
+234
+00:16:39,030 --> 00:16:44,370
+convergentلكن إذا كانت R بتساوي واحد بنقول ال test
+
+235
+00:16:44,370 --> 00:16:47,650
+fail يعني ممكن يكون convergence وممكن تكون إيش ما
+
+236
+00:16:47,650 --> 00:16:53,650
+لها divergence وفيه أمثلة واضح؟ طيب الآن بدنا نيجي
+
+237
+00:16:53,650 --> 00:16:59,570
+للبرهان suppose that limit Xn أس واحد على N بساوي
+
+238
+00:16:59,570 --> 00:17:05,790
+R وR إيش ما لها أصغر من واحد نفترض إنه limit Xn أس
+
+239
+00:17:05,790 --> 00:17:07,670
+واحد على N بساوي R أصغر من واحد
+
+240
+00:17:10,860 --> 00:17:22,100
+طيب عندى لما اقول limit xn أس واحدة لان بساوى واحد
+
+241
+00:17:22,100 --> 00:17:29,260
+او بساوى R اللى هى أصغر من واحد ايش معناته هذا هذا
+
+242
+00:17:29,260 --> 00:17:35,490
+معناته لكل ي أكبر من سفرThere exist k element in N
+
+243
+00:17:35,490 --> 00:17:39,550
+such that for every N أكبر وسوء k اللي هو بيكون
+
+244
+00:17:39,550 --> 00:17:50,390
+عند X N أسواحدة ل N ناقص R ناقص R أصغر من مين؟ من
+
+245
+00:17:50,390 --> 00:17:58,340
+إبسلونأصغر من إبسلون خد الآن إبسلون إبسلون بتساوي
+
+246
+00:17:58,340 --> 00:18:02,780
+عند واحد ناقص R أكبر من سفر لغرض الحسابات بتاخد
+
+247
+00:18:02,780 --> 00:18:06,720
+إبسلون عبارة عن واحد ناقص R على اتنين واحد ناقص R
+
+248
+00:18:06,720 --> 00:18:09,640
+على اتنين أكيد أكبر من سفر إذا هتصير أصغر من واحد
+
+249
+00:18:09,640 --> 00:18:14,420
+ناقص R على اتنين على اتنين صار عندي الآن Xn أسواحد
+
+250
+00:18:14,420 --> 00:18:20,120
+على N أصغر من واحد ناقص R على اتنين زائد R وأكبر
+
+251
+00:18:20,120 --> 00:18:27,300
+منR ناقص .. اللي هو واحد ناقص R على مين؟ على اتنين
+
+252
+00:18:27,300 --> 00:18:32,080
+انا بتهيب من المنطقة هذه ماشي الحال صار عندى اللي
+
+253
+00:18:32,080 --> 00:18:40,540
+هو ال XL أسواحد على N أصغر من اللي هو واحد
+
+254
+00:18:42,070 --> 00:18:47,950
+1 الان هذه اتنين R اللي هي واحد زائد R على مين على
+
+255
+00:18:47,950 --> 00:18:52,210
+اتنين ماشي؟ لذا صارت ال Xn أسواحد على N absolute
+
+256
+00:18:52,210 --> 00:18:57,790
+value أصغر من واحد زائد R على اتنين لكل N أكبر أو
+
+257
+00:18:57,790 --> 00:19:06,720
+يساوي مين K لذا حصلت على هذه هذه سموليها R'R' أو
+
+258
+00:19:06,720 --> 00:19:20,880
+يسمونها R واحد هذي R واحد اكبر او
+
+259
+00:19:20,880 --> 00:19:30,580
+اكبر اكبر اكبر اكبر اكبر اكبر اكبر اكبر اكبر
+
+260
+00:19:30,580 --> 00:19:33,070
+اكبر اكبر اكبر اكبر اكبرR أصغر من واحد يعني عبارة
+
+261
+00:19:33,070 --> 00:19:38,010
+عن هدولة عبارة عن R يعني R واحد أصغر من مين من R
+
+262
+00:19:38,010 --> 00:19:44,070
+في نفس الوقت هتكون أصغر من واحداللي وصلتله انا
+
+263
+00:19:44,070 --> 00:19:48,030
+suppose that اللي مش مشروح انا شرحته هناك limit x
+
+264
+00:19:48,030 --> 00:19:51,070
+minus واحد على n بساوي R أصغر من واحد then there
+
+265
+00:19:51,070 --> 00:19:55,650
+exists R واحد such that R واحد أكبر من R وأصغر من
+
+266
+00:19:55,650 --> 00:20:02,090
+مين من واحد R واحد أكبر من R وأكيد أصغر من واحد
+
+267
+00:20:02,090 --> 00:20:07,590
+زائد واحد على اتنين ويساوي واحد اللي هي andاللي هو
+
+268
+00:20:07,590 --> 00:20:11,270
+إيش هيكون عنده a natural number K اللي لجيته such
+
+269
+00:20:11,270 --> 00:20:15,210
+that XN plus 1 الان أصغر يسوء R1 لكل N أكبر أو
+
+270
+00:20:15,210 --> 00:20:21,930
+يسوء K والها وهيني فصلتلكم إيها هان الان صار جاهز
+
+271
+00:20:21,930 --> 00:20:25,250
+اللي هو النظرية اللي احنا هتذكرولها لها ال
+
+272
+00:20:25,250 --> 00:20:30,990
+comparison test اللي هو عندي summation لل R1 هذه
+
+273
+00:20:30,990 --> 00:20:37,810
+صارت الآن XN plus 1 الان أصغر من R1 يعنيبمهادر تبه
+
+274
+00:20:37,810 --> 00:20:44,030
+عليها ده خلينا نعملها برضه أفصلها صار عندي الآن يا
+
+275
+00:20:44,030 --> 00:20:53,890
+جماعة عندي اللي هو x and هيها x and absolute value
+
+276
+00:20:53,890 --> 00:21:01,550
+other أو ساوي R واحد أس انماشي هذي الان ال R1 أصغر
+
+277
+00:21:01,550 --> 00:21:07,590
+من واحد مدام أصغر واحد وهذه ال series converts
+
+278
+00:21:07,590 --> 00:21:12,030
+الكبيرة إذا بقى بأول هذه ال series الشمالة تكون
+
+279
+00:21:12,030 --> 00:21:16,690
+converts then by comparison testالآن اللي هي
+
+280
+00:21:16,690 --> 00:21:21,350
+summation R1Rn converges implies بواسطة هذه ان ال
+
+281
+00:21:21,350 --> 00:21:26,350
+summation لل Xn is absolutely convergent الان لو
+
+282
+00:21:26,350 --> 00:21:30,530
+فرضنا ان limit Xn أس واحدة بساوي R أكبر من واحد
+
+283
+00:21:31,090 --> 00:21:34,410
+بنفس الطريقة اللى جيتها قبل بشوية بس هاخد الـY
+
+284
+00:21:34,410 --> 00:21:39,010
+اللى هو هستخدم الـY definition بس هاخد الـY R ناقص
+
+285
+00:21:39,010 --> 00:21:42,250
+واحد على اتنين و هطبّك زي ما طبّجت بالظبط قبل
+
+286
+00:21:42,250 --> 00:21:47,650
+بشوية هلاجي natural number K such that ال X أنقص
+
+287
+00:21:47,650 --> 00:21:52,490
+واحد على N أكبر من واحد ولا لأ أنا بلزمش حتىعلى
+
+288
+00:21:52,490 --> 00:21:56,150
+طول limit xn أسواه دلان اللي هو بسوء r أكبر من
+
+289
+00:21:56,150 --> 00:21:59,010
+واحد هيطلع عندي xn أسواه دلان أكبر من واحد فهو r
+
+290
+00:21:59,010 --> 00:22:03,290
+أكبر سواء k ومنه على طول بما أن هذه اللي هو أكبر
+
+291
+00:22:03,290 --> 00:22:05,590
+من واحد حسب ال test اللي قبل بشوية ال summation لل
+
+292
+00:22:05,590 --> 00:22:11,290
+xn is divergent وده ماعرفش أعمل أعملها زي ما
+
+293
+00:22:11,290 --> 00:22:15,830
+عملتها قبل بشوية أنا none no conclusion وهذا
+
+294
+00:22:15,830 --> 00:22:21,070
+حكيتها no conclusionWhen R بيساوي واحد either
+
+295
+00:22:21,070 --> 00:22:28,830
+convergence or divergence is possible في حالة لما
+
+296
+00:22:28,830 --> 00:22:32,730
+جينا .. أخدنا ال limit و لجينا ال limit لان
+
+297
+00:22:32,730 --> 00:22:36,750
+through ال test بيساوي واحد معناته انه يمكن يكون
+
+298
+00:22:36,750 --> 00:22:43,190
+convergence و ممكن يكون divergence طيب نيجي الآن
+
+299
+00:22:43,190 --> 00:22:49,470
+لل ratio test ال ratio test مشابهأخدنا اللي هو
+
+300
+00:22:49,470 --> 00:22:53,090
+الان comparison test بشقيه العادي و ال limit و
+
+301
+00:22:53,090 --> 00:22:55,890
+أخدنا الان through ال test بشقيه العادي و ال limit
+
+302
+00:22:55,890 --> 00:22:59,630
+العادي اللي هو اللي قصدنا فيه اللي هو X أنوس واحدة
+
+303
+00:22:59,630 --> 00:23:05,910
+أكبر من واحد اللي هو أو أصغر اللي كانت الأولى و
+
+304
+00:23:05,910 --> 00:23:08,350
+اللي بعدها limit comparison test نفس الأشياء أكبر
+
+305
+00:23:08,350 --> 00:23:13,440
+أو أصغر طيب ال ratio testFx بيساوي xn is a
+
+306
+00:23:13,440 --> 00:23:18,280
+sequence of non-zero terms هذه ميزتها إنها
+
+307
+00:23:18,280 --> 00:23:21,760
+بيلزمهاش طبعا زي اللي جابلها بيلزمها الأولى
+
+308
+00:23:21,760 --> 00:23:25,920
+بيلزمها ال comparison test بيلزمها تقارن بسيريز
+
+309
+00:23:25,920 --> 00:23:30,920
+أخرى الان الانثرويد test وال ratio test تقارن
+
+310
+00:23:30,920 --> 00:23:35,790
+بنفسهايعني من داخل نفسها بتقدر تعرف اللي هو ..
+
+311
+00:23:35,790 --> 00:23:38,810
+اللي هي بطريقة معينة تعرف إن هي converged ولا
+
+312
+00:23:38,810 --> 00:23:42,810
+diverse يعني الآن Fx بسوء Xn is a sequence of non
+
+313
+00:23:42,810 --> 00:23:43,910
+-zero elements
+
+314
+00:23:46,750 --> 00:23:51,010
+of R and there is a positive number R أصغر من واحد
+
+315
+00:23:51,010 --> 00:23:55,730
+and a natural number K such that Xn زائد واحد على
+
+316
+00:23:55,730 --> 00:23:59,950
+Xn أصغر سوء R for N أكبر سوء K then the summation
+
+317
+00:23:59,950 --> 00:24:04,030
+Xn is absolutely convergent يعني الآن جيت انت لجيت
+
+318
+00:24:04,030 --> 00:24:08,310
+Xn زائد واحد على Xnاللي جيتها دايماً أصغر أوي ساوي
+
+319
+00:24:08,310 --> 00:24:12,130
+R والـ R أصغر strictly من مين؟ من واحد يعني دايماً
+
+320
+00:24:12,130 --> 00:24:15,830
+ال ratio هذا اللي بعده على اللي جابله اللي بعد على
+
+321
+00:24:15,830 --> 00:24:19,870
+اللي جاب اللي جيته أصغر معناته أنه صارت اللي هي
+
+322
+00:24:19,870 --> 00:24:23,890
+أشمالها عمالها بتصغر ال sequence كل ما ماشيت قدام
+
+323
+00:24:23,890 --> 00:24:27,330
+بيصير اللي ورا ع اللي قدام أصغر من واحد اللي ورا ع
+
+324
+00:24:27,330 --> 00:24:31,570
+اللي قدام أصغر من واحد يعني واضح أنه في اللي هو في
+
+325
+00:24:31,570 --> 00:24:36,410
+ال submission للـ XN is absolutely convergentلأن
+
+326
+00:24:36,410 --> 00:24:39,570
+بيقول if there exists a natural number k such that
+
+327
+00:24:39,570 --> 00:24:44,650
+بعده بيصير تصرفها ان xn زي 1 على xn هيكون أكبر
+
+328
+00:24:44,650 --> 00:24:48,350
+ويسوء 1 مدام أكبر ويسوء 1 معناته صار اللي هو كل
+
+329
+00:24:48,350 --> 00:24:51,890
+مامشيت قدام ال term بيكبر مثلا بيكبر ال term نفسه
+
+330
+00:24:51,890 --> 00:24:55,170
+إذا ال limit مش هيروح للصفر إذا معناته انه صارت ال
+
+331
+00:24:55,170 --> 00:25:01,530
+series divergent طيب ال proof خلينا نبرهن ايهif 6
+
+332
+00:25:01,530 --> 00:25:06,550
+holds يعني لو هو كانت هذا متحقق then by induction
+
+333
+00:25:06,550 --> 00:25:12,590
+one can see that for M أكبر أوي ساوية واحد K X K M
+
+334
+00:25:12,590 --> 00:25:18,890
+أصغر أوي ساوية أرقص M X K بتصور مش صعب إثبات هذه
+
+335
+00:25:18,890 --> 00:25:24,370
+for عندي خد X ال induction عالميا for M أكبر أوي
+
+336
+00:25:24,370 --> 00:25:32,360
+ساوية واحد على Mاللي هان بيصير xk زائد واحد اللي
+
+337
+00:25:32,360 --> 00:25:37,820
+هو xk زائد واحد هنا لإنها بتتحقق من k وطالع k زائد
+
+338
+00:25:37,820 --> 00:25:45,920
+واحد بيصير على ال xk يعني أصغر ساوي R في xk درم
+
+339
+00:25:45,920 --> 00:25:52,980
+التفرق الطرفين في وسطين xk إذن هذه صحيحةR M في
+
+340
+00:25:52,980 --> 00:25:56,020
+حالة الواحد صحيحة في حالة ال M ساو واحد الان
+
+341
+00:25:56,020 --> 00:26:01,420
+suppose that this true for M بدا تبت صحيتها for me
+
+342
+00:26:01,420 --> 00:26:08,360
+in M زائد واحد X K زائد M زائد واحد بدا تبت صحيتها
+
+343
+00:26:08,360 --> 00:26:12,940
+في حالة ال M زائد واحد اللي هو حسب اللي هنا اللي
+
+344
+00:26:12,940 --> 00:26:21,080
+أصغر أو ساوي ال Rثمين في اللي هي هنا N زائد واحد S
+
+345
+00:26:21,080 --> 00:26:28,160
+زائد واحد K M K زائد M K زائد M اذا R في absolute
+
+346
+00:26:28,160 --> 00:26:34,280
+value X K زائد M ماشي لان و بما ان هذا true for M
+
+347
+00:26:34,280 --> 00:26:38,840
+يعني هذا متحققه اذا من هنا ب hypothesis induction
+
+348
+00:26:38,840 --> 00:26:47,440
+بيصير R في R أس Mفي XK Y ساوية R أقصى M زايد واحد
+
+349
+00:26:47,440 --> 00:26:54,500
+في XK يعني صارت هذه صحيحة for M زايد واحد إذا صارت
+
+350
+00:26:54,500 --> 00:26:59,440
+صحيحة لكل M إذا هذه دائما صحيحة لأي M أكبر وساوية
+
+351
+00:26:59,440 --> 00:27:03,120
+واحد في ضوء العلاقة اللي هي 6 صحيحة
+
+352
+00:27:06,690 --> 00:27:13,130
+إذاً هذا لكل M أكبر أو يساوي واحد عندي لكل N أكبر
+
+353
+00:27:13,130 --> 00:27:17,350
+أو يساوي K الان
+
+354
+00:27:17,350 --> 00:27:27,330
+شيلي ال K زائد M وحط مكانها N يعني N بتساوي K زائد
+
+355
+00:27:27,330 --> 00:27:36,860
+M بصير هذه X Nأثر أو يساوي الـ M بتساوي N ناقص K و
+
+356
+00:27:36,860 --> 00:27:42,100
+X K زي ما هي X K لأنه شيلت ال N و حطيت مكانها K
+
+357
+00:27:42,100 --> 00:27:46,100
+زائد M و ال N طبعا اللي هي بتساوي K زائد M أكيد
+
+358
+00:27:46,100 --> 00:27:50,400
+أكبر أو يساوي K إذن هذه اللي هي صحيحة إذن صار عندي
+
+359
+00:27:50,400 --> 00:27:56,340
+الآن اللي عشان بعد شوية هتستخدمها صار عندي الآن ال
+
+360
+00:27:56,340 --> 00:28:03,180
+absolute valueللـ Xn أصغر أو يساوي R أُس N ناقص K
+
+361
+00:28:03,180 --> 00:28:10,180
+في X K ماشي الحال هذا لكل N أكبر أو يساوي إيش K
+
+362
+00:28:10,180 --> 00:28:19,740
+طيب نكمل للبرهان الـ N summation لل R أُس N
+
+363
+00:28:19,740 --> 00:28:20,660
+converts
+
+364
+00:28:23,610 --> 00:28:29,250
+لأن الار مالها بين صفر و واحد مادام هذي متغيرت
+
+365
+00:28:29,250 --> 00:28:33,450
+طبعا هذا term مجرد عدد يعنى term لأنه عند ك كهذا
+
+366
+00:28:33,450 --> 00:28:37,390
+هو اشي fixed يعني هو عبارة عن عدد والمتغير من الان
+
+367
+00:28:37,390 --> 00:28:44,510
+هذه اللي أنا ال summation لها للار الناقص كيعني بس
+
+368
+00:28:44,510 --> 00:28:48,670
+بنشيل K من ال terms مش مشكلة بتضل اللي هو converge
+
+369
+00:28:48,670 --> 00:28:52,270
+اللي هي summation R أُس N converge ثم summation
+
+370
+00:28:52,270 --> 00:28:56,430
+أُس R N ناقص K كيفيكس number عبارة عن converge ثم
+
+371
+00:28:56,430 --> 00:28:59,530
+صارت هذه ال series converge من باب أولى لل series
+
+372
+00:28:59,530 --> 00:29:02,670
+اللي أصغر منها اللي هتكون converge ثم صارت عندي
+
+373
+00:29:02,670 --> 00:29:05,070
+summation absolute value converge او بمعنى اخر
+
+374
+00:29:05,070 --> 00:29:12,450
+summation XN is absolutely convergent الان نيجيلأ
+
+375
+00:29:12,450 --> 00:29:18,050
+الجزء الثاني الان إذا كانت اللي هي سبعة holes سبعة
+
+376
+00:29:18,050 --> 00:29:21,970
+هي سبعة شايفينها هي سبعة اللي هو ال XN زائد واحد
+
+377
+00:29:21,970 --> 00:29:28,990
+على XN أكبر أو ساوى واحد لكل N أكبر أو ساوى مين
+
+378
+00:29:28,990 --> 00:29:36,420
+أكبر أو ساوى K كلام مشابهكلام مشابه if 7 holds
+
+379
+00:29:36,420 --> 00:29:41,900
+then by induction one can see that xkm أكبر أو
+
+380
+00:29:41,900 --> 00:29:46,880
+يساوي xk for m بساوي واحد و بعدين it is true for m
+
+381
+00:29:46,880 --> 00:29:49,480
+then it is true for m زائد واحد و زي ما عملت قبل
+
+382
+00:29:49,480 --> 00:29:54,170
+بشوية هتلاجوها بكل سهولة تطلعالان خد ال limit هذا
+
+383
+00:29:54,170 --> 00:29:58,690
+الان هذا صحيح لكل M أكبر أو يساوي واحد الان خد ال
+
+384
+00:29:58,690 --> 00:30:01,630
+limit as M goes to infinity بيصير أكبر أو يساوي
+
+385
+00:30:01,630 --> 00:30:05,090
+اللي هو المقدار هذا والمقدار هذا strictly أكبر من
+
+386
+00:30:05,090 --> 00:30:09,970
+100 من 0 لأن ال terms اللي عندي كلها لاتساوي 0 من
+
+387
+00:30:09,970 --> 00:30:14,930
+عند K وطالع اذا انتر عندي اللي هو limit ال Xn اللي
+
+388
+00:30:14,930 --> 00:30:20,490
+هو أكبر من 0 and so summation لل Xn is divergent
+
+389
+00:30:21,110 --> 00:30:26,670
+طيب، نريد الان لإيه الـ Corollary الأخيرة في
+
+390
+00:30:26,670 --> 00:30:32,050
+محاضرة اليوم اللي هي بتقول ليت X بسوء XN بيه
+
+391
+00:30:32,050 --> 00:30:36,790
+Sequence in R and Setواضح انه بيعطي اللي هو عادي و
+
+392
+00:30:36,790 --> 00:30:38,990
+بعدين limit عادي و بعدين limit و في ال ratio test
+
+393
+00:30:38,990 --> 00:30:42,410
+نفس الاشي بده ياخد limit ال exant زائد واحد على ال
+
+394
+00:30:42,410 --> 00:30:47,410
+exant بساوي R و الناس هتميل في الحلول في معظمها
+
+395
+00:30:47,410 --> 00:30:51,270
+اللي هي limits whenever the limit exist إذا كانت
+
+396
+00:30:51,270 --> 00:30:55,230
+ال limit هذه exist بنيجيthen the series summation
+
+397
+00:30:55,230 --> 00:30:58,630
+xn converges أو absolutely convergent إذا كان آر
+
+398
+00:30:58,630 --> 00:31:02,210
+أصغر من واحد وdivergent إذا كانت يشملها أكبر من
+
+399
+00:31:02,210 --> 00:31:06,110
+واحد يعني بناخد limit xn زائد واحد على xn absolute
+
+400
+00:31:06,110 --> 00:31:09,110
+value طبعا إذا كانت positive terms على طول بدون
+
+401
+00:31:09,110 --> 00:31:13,780
+absolute values طلع أن دي limit موجودما دام اطلع
+
+402
+00:31:13,780 --> 00:31:18,300
+ال limit موجود في عندي حكم إذا كان اللي هو أكبر من
+
+403
+00:31:18,300 --> 00:31:21,780
+واحد diverse إذا كان أصغر من واحد converge إذا
+
+404
+00:31:21,780 --> 00:31:26,220
+بيساوي واحد معناته the test fails وبنبحث اللي عن
+
+405
+00:31:26,220 --> 00:31:30,440
+test آخر طيب الآن suppose that limit xn زاد واحد
+
+406
+00:31:30,440 --> 00:31:33,300
+على xn as n goes to infinity بيساوي R أصغر من مين
+
+407
+00:31:33,300 --> 00:31:38,410
+من واحدبنفس الطريقة اللي عملناها قبل بشوية في
+
+408
+00:31:38,410 --> 00:31:44,230
+الأول let R1 satisfies R1 أكبر من R أصغر من 1 then
+
+409
+00:31:44,230 --> 00:31:48,810
+اللي هو لأن طبيعي between any two real numbers فيه
+
+410
+00:31:48,810 --> 00:31:53,770
+real number سميته مين؟ R1 الآن بما أن ال limit هذا
+
+411
+00:31:53,770 --> 00:31:57,370
+بيساوي R يدل كل إيبسلون أكبر من 0 من ضمن مين
+
+412
+00:31:57,370 --> 00:32:02,760
+الإيبسلون اللي بدأ أخدها؟ R1-RThen for epsilon
+
+413
+00:32:02,760 --> 00:32:07,280
+بساوة R واحد ناقص R أكبر من سفر there exists K
+
+414
+00:32:07,280 --> 00:32:10,260
+elements in N such that ال absolute value لهذا
+
+415
+00:32:10,260 --> 00:32:13,160
+ناقص هذا أصغر من مين من ال epsilon هي R واحد ناقص
+
+416
+00:32:13,160 --> 00:32:18,180
+مين ناقص R هذا صحيح لكل مين لكل N أكبر أو ساوة K
+
+417
+00:32:18,800 --> 00:32:23,600
+الآن نفردها هذه بس بتاخد الجهة اللي على اليمين هي
+
+418
+00:32:23,600 --> 00:32:27,420
+اللي بتمنى اللي هو صار عندى xn زائد واحد على xn
+
+419
+00:32:27,420 --> 00:32:31,540
+أصغر من r واحد ناقص r ولمّا تجيب هذا على الجهة
+
+420
+00:32:31,540 --> 00:32:34,240
+الثانية بعد ما فكرا absolute value بصير r ويساوي
+
+421
+00:32:34,240 --> 00:32:39,400
+ايش بتساوي؟ ويساوي بساوي r واحدالان و تساوي R واحد
+
+422
+00:32:39,400 --> 00:32:44,620
+اذا اللي هي .. اللي هيكون عندى اللي بال ..
+
+423
+00:32:44,620 --> 00:32:47,480
+بالنظرية اللي هي تسعة اتنين خمسها هتطلع عندى
+
+424
+00:32:47,480 --> 00:32:51,280
+الاصابيش ال absolute value اكسن اشمالها is
+
+425
+00:32:51,280 --> 00:32:56,110
+absolutely convergentهيطلع عندي summation للـ xn
+
+426
+00:32:56,110 --> 00:32:59,350
+is absolutely convergent اللي هي من نظرية تسعة
+
+427
+00:32:59,350 --> 00:33:02,450
+اتنين خمسة لإنه صار عندي ال absolute value لـ xn
+
+428
+00:33:02,450 --> 00:33:07,750
+زائد واحد على xn أصغر من رقم أصغر من واحد لكل n
+
+429
+00:33:07,750 --> 00:33:11,710
+أكبر سوى k من عند k وطالع بمعنى آخر صار عندي اللي
+
+430
+00:33:11,710 --> 00:33:15,530
+هي ال series is convergent لإنه هذا أصلا corollary
+
+431
+00:33:15,530 --> 00:33:21,830
+للي جابلها الآنودناخد اللي هو الجزء الثاني من اللي
+
+432
+00:33:21,830 --> 00:33:25,470
+هي ال .. ال .. ال .. البرهان اللي هو اللي بتعلق في
+
+433
+00:33:25,470 --> 00:33:28,330
+الجزء الثاني من ال Corollary بدنا نفترض انه limit
+
+434
+00:33:28,330 --> 00:33:33,390
+لل Xn زائد واحد ع ال Xn اللي هو بساوي R أكبر من
+
+435
+00:33:33,390 --> 00:33:37,910
+واحد وبدنا نشوف اللي هو كيف diverse يعني بدأ افترض
+
+436
+00:33:37,910 --> 00:33:40,670
+انه limit limit
+
+437
+00:33:42,720 --> 00:33:46,740
+Xn زائد واحد على Xn as n جثه infinity اللي هو
+
+438
+00:33:46,740 --> 00:33:51,940
+إجماله عبارة عن رقم اللي هو أكبر من واحد نسميها R
+
+439
+00:33:51,940 --> 00:33:58,260
+يساوي R أكبر من واحد ونشوف كيف أن هو عندي اللي هي
+
+440
+00:33:58,260 --> 00:34:04,040
+diverse الآنخد الـ Epsilon حلو خد Epsilon for
+
+441
+00:34:04,040 --> 00:34:09,560
+Epsilon for Epsilon بساوي R ناقص واحد أكبر من سفر
+
+442
+00:34:09,560 --> 00:34:13,220
+there exists K element in N such that for every N
+
+443
+00:34:13,220 --> 00:34:19,000
+أكبر وسوء K بطلع عنده هو XN زائد واحد على XN
+
+444
+00:34:19,510 --> 00:34:25,650
+absolute value ناقص الـ R أكبر من أصغر من مين من
+
+445
+00:34:25,650 --> 00:34:30,190
+إبسلون اللي هي عبارة عن R ناقص واحد هي ال إبسلون
+
+446
+00:34:30,190 --> 00:34:33,130
+اللي أخدت R ناقص واحد أو زي ما هو عاملها هان أصغر
+
+447
+00:34:33,130 --> 00:34:36,550
+من هيها أصغر من R minus واحد اللي هي الإبسلون اللي
+
+448
+00:34:36,550 --> 00:34:40,570
+هان فوق فوق اللي هان مش بيهمنيش الجهة اللي هان
+
+449
+00:34:40,570 --> 00:34:43,850
+بيهمني الجهة الثانية عكس اللي أولانياللي عن حيط
+
+450
+00:34:43,850 --> 00:34:47,790
+لعندي xn زائد واحد على xn أكبر من واحد اللي هي r
+
+451
+00:34:47,790 --> 00:34:50,870
+ناقص r minus واحد اللي هي ايش بتطلع واحد صار هذا
+
+452
+00:34:50,870 --> 00:34:54,030
+المقدار أكبر من واحد و بال test اللي قبل بشوية ال
+
+453
+00:34:54,030 --> 00:34:57,790
+theorem تسعة اتنين خمسة بما أنه صار هذا من عند n
+
+454
+00:34:57,790 --> 00:35:01,670
+أكبر يساوي k وطالع من عند k وطالع طلع عندي هذا
+
+455
+00:35:01,670 --> 00:35:05,050
+أكبر من واحد معناته صارت ال information هذه is
+
+456
+00:35:05,050 --> 00:35:10,340
+divergentوطبعا اللي دايما بنقولها دايما اللي هي no
+
+457
+00:35:10,340 --> 00:35:14,320
+conclusion و ال R بتساوي واحد اللي هو ممكن تكون
+
+458
+00:35:14,320 --> 00:35:17,080
+conversion و ممكن تكون diversion عشان هذا الأساس
+
+459
+00:35:17,080 --> 00:35:22,160
+بنقول ال test fail في حالة ال R بتساوي واحد و نبحث
+
+460
+00:35:22,160 --> 00:35:26,900
+عن test آخر و الآن بنيجي ل اللي هو المرة الجاية ان
+
+461
+00:35:26,900 --> 00:35:30,440
+شاء الله بناخد ال integral test و إلى لقاء آخر
+
+462
+00:35:30,440 --> 00:35:31,400
+والسلام عليكم و رحمه الله
+
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/rKngzYKfO2U_raw.json b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/rKngzYKfO2U_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a14e9cc846f6fbd3b684ecae7fab750f25d68b93
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/rKngzYKfO2U_raw.json
@@ -0,0 +1 @@
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"probability": 0.9560546875}, {"start": 279.6, "end": 280.72, "word": " إذن", "probability": 0.7237955729166666}, {"start": 280.72, "end": 281.08, "word": " الآن", "probability": 0.794921875}, {"start": 281.08, "end": 281.6, "word": " عندي", "probability": 0.6658935546875}, {"start": 281.6, "end": 282.64, "word": " سميت", "probability": 0.97265625}, {"start": 282.64, "end": 282.8, "word": " اللي", "probability": 0.986572265625}, {"start": 282.8, "end": 283.0, "word": " هي", "probability": 0.865234375}, {"start": 283.0, "end": 283.16, "word": " الـ", "probability": 0.83837890625}, {"start": 283.16, "end": 283.3, "word": " M", "probability": 0.93896484375}, {"start": 283.3, "end": 283.46, "word": " K", "probability": 0.9521484375}, {"start": 283.46, "end": 283.78, "word": " Capital", "probability": 0.97265625}, {"start": 283.78, "end": 283.96, "word": " هي", "probability": 0.81982421875}, {"start": 283.96, "end": 284.12, "word": " الـ", "probability": 0.5655517578125}, {"start": 284.12, "end": 284.56, "word": " Supremum", "probability": 0.6978352864583334}, {"start": 284.56, "end": 285.2, "word": " والـ", "probability": 0.75732421875}, {"start": 285.2, "end": 285.36, "word": " M", "probability": 0.9599609375}, {"start": 285.36, "end": 285.56, "word": " K", "probability": 0.931640625}, {"start": 285.56, "end": 286.02, "word": " Small", "probability": 0.85400390625}, {"start": 286.02, "end": 286.32, "word": " هي", "probability": 0.92578125}, {"start": 286.32, "end": 286.72, "word": " عبارة", "probability": 0.9952392578125}, {"start": 286.72, "end": 286.92, "word": " عن", "probability": 0.99609375}, {"start": 286.92, "end": 287.08, "word": " الـ", "probability": 0.5501708984375}, {"start": 287.08, "end": 287.54, "word": " Infimum", "probability": 0.7508138020833334}, {"start": 287.54, "end": 288.26, "word": " وهلجيت", "probability": 0.732421875}, {"start": 288.26, "end": 289.04, "word": " حنشوف", "probability": 0.823486328125}, {"start": 289.04, "end": 289.74, "word": " إيش", "probability": 0.800537109375}, {"start": 289.74, "end": 290.74, "word": " دواعي", "probability": 0.9639892578125}, {"start": 290.74, "end": 291.24, "word": " هذه", "probability": 0.467041015625}, {"start": 291.24, "end": 291.9, "word": " التسمية", "probability": 0.9913736979166666}, {"start": 291.9, "end": 292.2, "word": " أو", "probability": 0.861328125}, {"start": 292.2, "end": 292.42, "word": " ليش", "probability": 0.9619140625}, {"start": 292.42, "end": 292.84, "word": " سمينا", "probability": 0.9071044921875}, {"start": 292.84, "end": 293.12, "word": " هيك", "probability": 0.950927734375}], "temperature": 1.0}, {"id": 12, "seek": 32102, "start": 294.32, "end": 321.02, "text": "الان بدنا نعرف اللي هو .. بدنا نعرف الآن اللي هو حاجة اسمها lower sum و حاجة اسمها ايش ال upper sum الان لو جيت بعد ما عملت ال partition اللي عندي هذا و جيت أخدت اللي هي", "tokens": [6027, 7649, 47525, 8315, 8717, 3615, 28480, 13672, 1829, 31439, 4386, 47525, 8315, 8717, 3615, 28480, 6024, 48506, 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"probability": 0.86865234375}, {"start": 300.38, "end": 300.76, "word": " نعرف", "probability": 0.9900716145833334}, {"start": 300.76, "end": 301.34, "word": " الآن", "probability": 0.6279296875}, {"start": 301.34, "end": 301.68, "word": " اللي", "probability": 0.960205078125}, {"start": 301.68, "end": 301.92, "word": " هو", "probability": 0.98046875}, {"start": 301.92, "end": 302.3, "word": " حاجة", "probability": 0.9724934895833334}, {"start": 302.3, "end": 302.68, "word": " اسمها", "probability": 0.958984375}, {"start": 302.68, "end": 303.0, "word": " lower", "probability": 0.669921875}, {"start": 303.0, "end": 303.46, "word": " sum", "probability": 0.448486328125}, {"start": 303.46, "end": 304.08, "word": " و", "probability": 0.92822265625}, {"start": 304.08, "end": 304.38, "word": " حاجة", "probability": 0.8515625}, {"start": 304.38, "end": 304.78, "word": " اسمها", "probability": 0.9793294270833334}, {"start": 304.78, "end": 305.28, "word": " ايش", "probability": 0.6162109375}, {"start": 305.28, "end": 305.88, "word": " ال", "probability": 0.9091796875}, {"start": 305.88, "end": 306.26, "word": " upper", "probability": 0.78369140625}, {"start": 306.26, "end": 307.02, "word": " sum", "probability": 0.9521484375}, {"start": 307.02, "end": 308.4, "word": " الان", "probability": 0.750732421875}, {"start": 308.4, "end": 309.34, "word": " لو", "probability": 0.97021484375}, {"start": 309.34, "end": 309.94, "word": " جيت", "probability": 0.993408203125}, {"start": 309.94, "end": 311.9, "word": " بعد", "probability": 0.95068359375}, {"start": 311.9, "end": 312.1, "word": " ما", "probability": 0.9599609375}, {"start": 312.1, "end": 312.42, "word": " عملت", "probability": 0.93359375}, {"start": 312.42, "end": 312.54, "word": " ال", "probability": 0.97119140625}, {"start": 312.54, "end": 312.92, "word": " partition", "probability": 0.8408203125}, {"start": 312.92, "end": 313.22, "word": " اللي", "probability": 0.96533203125}, {"start": 313.22, "end": 313.54, "word": " عندي", "probability": 0.6805419921875}, {"start": 313.54, "end": 314.14, "word": " هذا", "probability": 0.9609375}, {"start": 314.14, "end": 315.46, "word": " و", "probability": 0.76220703125}, {"start": 315.46, "end": 315.84, "word": " جيت", "probability": 0.933837890625}, {"start": 315.84, "end": 318.38, "word": " أخدت", "probability": 0.869140625}, {"start": 318.38, "end": 320.66, "word": " اللي", "probability": 0.9794921875}, {"start": 320.66, "end": 321.02, "word": " هي", "probability": 0.923828125}], "temperature": 1.0}, {"id": 13, "seek": 35699, "start": 328.55, "end": 356.99, "text": "أخدت الـ partition B اللي عندي هذا هذا ال partition B هو عبارة عن X0 X1 X2 اللي عند XN جيت أنا أخدت اللي هو الـ supremum للدالة في هذه المنطقة والتي تكون طبعا هنا شكلها اللي هي سميتها M1 في X1 نقص X0", "tokens": [10721, 9778, 3215, 2655, 2423, 39184, 24808, 363, 13672, 1829, 18871, 16254, 23758, 23758, 2423, 24808, 363, 31439, 6225, 3555, 9640, 3660, 18871, 1783, 15, 1783, 16, 1783, 17, 13672, 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"word": " هذا", "probability": 0.83154296875}, {"start": 331.39, "end": 332.63, "word": " هذا", "probability": 0.34375}, {"start": 332.63, "end": 332.77, "word": " ال", "probability": 0.94921875}, {"start": 332.77, "end": 333.09, "word": " partition", "probability": 0.58056640625}, {"start": 333.09, "end": 333.53, "word": " B", "probability": 0.64892578125}, {"start": 333.53, "end": 333.85, "word": " هو", "probability": 0.86865234375}, {"start": 333.85, "end": 334.23, "word": " عبارة", "probability": 0.9945068359375}, {"start": 334.23, "end": 334.41, "word": " عن", "probability": 0.9892578125}, {"start": 334.41, "end": 335.05, "word": " X0", "probability": 0.46533203125}, {"start": 335.05, "end": 336.51, "word": " X1", "probability": 0.919677734375}, {"start": 336.51, "end": 337.49, "word": " X2", "probability": 0.963623046875}, {"start": 337.49, "end": 337.71, "word": " اللي", "probability": 0.657470703125}, {"start": 337.71, "end": 337.91, "word": " عند", "probability": 0.7841796875}, {"start": 337.91, "end": 338.51, "word": " XN", "probability": 0.6146240234375}, {"start": 338.51, "end": 340.11, "word": " جيت", "probability": 0.713623046875}, {"start": 340.11, "end": 340.27, "word": " أنا", "probability": 0.6103515625}, {"start": 340.27, "end": 341.13, "word": " أخدت", "probability": 0.962646484375}, {"start": 341.13, "end": 341.69, "word": " اللي", "probability": 0.922607421875}, {"start": 341.69, "end": 341.99, "word": " هو", "probability": 0.994140625}, {"start": 341.99, "end": 343.07, "word": " الـ", "probability": 0.548583984375}, {"start": 343.07, "end": 343.59, "word": " supremum", "probability": 0.68603515625}, {"start": 343.59, "end": 344.21, "word": " للدالة", "probability": 0.9068603515625}, {"start": 344.21, "end": 344.37, "word": " في", "probability": 0.9384765625}, {"start": 344.37, "end": 344.59, "word": " هذه", "probability": 0.9248046875}, {"start": 344.59, "end": 345.29, "word": " المنطقة", "probability": 0.9910888671875}, {"start": 345.29, "end": 346.45, "word": " والتي", "probability": 0.5460205078125}, {"start": 346.45, "end": 346.69, "word": " تكون", "probability": 0.643310546875}, {"start": 346.69, "end": 347.07, "word": " طبعا", "probability": 0.9193115234375}, {"start": 347.07, "end": 347.35, "word": " هنا", "probability": 0.50146484375}, {"start": 347.35, "end": 348.55, "word": " شكلها", "probability": 0.9762369791666666}, {"start": 348.55, "end": 350.71, "word": " اللي", "probability": 0.936279296875}, {"start": 350.71, "end": 350.95, "word": " هي", "probability": 0.466064453125}, {"start": 350.95, "end": 351.55, "word": " سميتها", "probability": 0.97900390625}, {"start": 351.55, "end": 352.41, "word": " M1", "probability": 0.933349609375}, {"start": 352.41, "end": 353.37, "word": " في", "probability": 0.52783203125}, {"start": 353.37, "end": 354.65, "word": " X1", "probability": 0.9697265625}, {"start": 354.65, "end": 356.37, "word": " نقص", "probability": 0.6982421875}, {"start": 356.37, "end": 356.99, "word": " X0", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 14, "seek": 38269, "start": 357.87, "end": 382.69, "text": "و جيت ضفت لها برضه ال supremum للدالة في المنطقة هذه اللي هي زائد M2 سميت ال supremum اللي هو M2 في X2-X0 لما نوصلت لآخر واحدة بنفس الأسلوب أخدت اللي هو ال supremum اللي هي ال supremum طبعا M1 عندى", "tokens": [2407, 10874, 36081, 48812, 5172, 2655, 5296, 11296, 4724, 43042, 3224, 2423, 23710, 449, 24976, 3215, 6027, 3660, 8978, 9673, 1863, 9566, 28671, 29538, 13672, 1829, 39896, 30767, 16373, 3215, 376, 17, 8608, 2304, 36081, 2423, 23710, 449, 13672, 1829, 31439, 376, 17, 8978, 1783, 17, 12, 55, 15, 5296, 15042, 8717, 2407, 36520, 2655, 5296, 148, 95, 34740, 36764, 24401, 3660, 44945, 36178, 16247, 3794, 1211, 37746, 5551, 9778, 3215, 2655, 13672, 1829, 31439, 2423, 23710, 449, 13672, 1829, 39896, 2423, 23710, 449, 23032, 3555, 3615, 995, 376, 16, 43242, 7578], "avg_logprob": -0.18968413786221577, "compression_ratio": 1.681081081081081, 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47027, "start": 443.37, "end": 470.27, "text": "الأن similarly بدي آجي أعرف اللي هو ال lower sum إذا ال upper sum بيساوي ال summation ل X K نقص X K minus واحد مضروب في ال M K capital K من عند واحد لعند N هذه اللي بيسميها ال upper sum similarly بدي أعرف مين اللي هو ال lower sum", "tokens": [6027, 33456, 14138, 4724, 16254, 19753, 7435, 1829, 5551, 3615, 28480, 13672, 1829, 31439, 2423, 3126, 2408, 11933, 15730, 2423, 6597, 2408, 4724, 1829, 3794, 995, 45865, 2423, 28811, 5296, 1783, 591, 8717, 4587, 9381, 1783, 591, 3175, 36764, 24401, 3714, 11242, 32887, 3555, 8978, 2423, 376, 591, 4238, 591, 9154, 43242, 36764, 24401, 5296, 3615, 41260, 426, 29538, 13672, 1829, 4724, 1829, 38251, 1829, 11296, 2423, 6597, 2408, 14138, 4724, 16254, 5551, 3615, 28480, 3714, 9957, 13672, 1829, 31439, 2423, 3126, 2408], "avg_logprob": -0.23902530010257447, "compression_ratio": 1.7083333333333333, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 443.37, "end": 443.77, "word": "الأن", 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الدالة اللي بنعملها أو لو وجدلها ال lower sum و ال upper sum الهن واضح أن ال lower sum ال lower sum واضح أنه اللي هو دائما", "tokens": [2407, 12, 87, 74, 12, 16, 39896, 6225, 3555, 9640, 3660, 18871, 12174, 32640, 2423, 24808, 13672, 1829, 18871, 16254, 11933, 15730, 2423, 3126, 2408, 34051, 11331, 49975, 2423, 6597, 2408, 16712, 2304, 2655, 9957, 4724, 995, 34268, 2304, 3215, 9957, 6225, 45340, 25528, 15844, 13672, 1829, 31439, 2423, 24808, 4032, 3615, 23942, 32748, 6027, 3660, 13672, 1829, 44945, 25957, 1211, 11296, 34051, 45164, 49610, 3215, 1211, 11296, 2423, 3126, 2408, 4032, 2423, 6597, 2408, 2423, 3224, 1863, 4032, 46958, 5016, 14739, 2423, 3126, 2408, 2423, 3126, 2408, 4032, 46958, 5016, 14739, 3224, 13672, 1829, 31439, 11778, 16373, 15042], "avg_logprob": -0.20265625342726706, "compression_ratio": 1.979899497487437, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 580.36, "end": 580.54, "word": "و", "probability": 0.580078125}, {"start": 580.54, "end": 582.14, 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599.26, "word": " و", "probability": 0.78076171875}, {"start": 599.26, "end": 599.42, "word": " ال", "probability": 0.72119140625}, {"start": 599.42, "end": 599.8, "word": " upper", "probability": 0.85107421875}, {"start": 599.8, "end": 600.62, "word": " sum", "probability": 0.96923828125}, {"start": 600.62, "end": 601.46, "word": " الهن", "probability": 0.5410970052083334}, {"start": 601.46, "end": 602.38, "word": " واضح", "probability": 0.9580078125}, {"start": 602.38, "end": 602.64, "word": " أن", "probability": 0.50341796875}, {"start": 602.64, "end": 602.86, "word": " ال", "probability": 0.61962890625}, {"start": 602.86, "end": 603.16, "word": " lower", "probability": 0.81201171875}, {"start": 603.16, "end": 603.62, "word": " sum", "probability": 0.9697265625}, {"start": 603.62, "end": 604.4, "word": " ال", "probability": 0.7744140625}, {"start": 604.4, "end": 604.7, "word": " lower", "probability": 0.78515625}, {"start": 604.7, "end": 604.96, "word": " sum", "probability": 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"probability": 0.99267578125}, {"start": 624.84, "end": 625.6, "word": " then", "probability": 0.77294921875}, {"start": 625.6, "end": 626.18, "word": " ال", "probability": 0.73388671875}, {"start": 626.18, "end": 626.54, "word": " lower", "probability": 0.479736328125}, {"start": 626.54, "end": 627.0, "word": " sum", "probability": 0.970703125}, {"start": 627.0, "end": 627.36, "word": " لل", "probability": 0.6923828125}, {"start": 627.36, "end": 627.52, "word": " B", "probability": 0.80322265625}, {"start": 627.52, "end": 627.66, "word": " و", "probability": 0.78369140625}, {"start": 627.66, "end": 627.74, "word": " ال", "probability": 0.37451171875}, {"start": 627.74, "end": 627.98, "word": " F", "probability": 0.9814453125}, {"start": 627.98, "end": 628.42, "word": " أصغر", "probability": 0.9925537109375}, {"start": 628.42, "end": 628.76, "word": " سوى", "probability": 0.473876953125}, {"start": 628.76, "end": 628.88, "word": " ال", "probability": 0.89208984375}, {"start": 628.88, 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الـMK", "probability": 0.8942057291666666}, {"start": 664.7, "end": 665.3, "word": " Small", "probability": 0.85986328125}, {"start": 665.3, "end": 665.9, "word": " وهذا", "probability": 0.787353515625}, {"start": 665.9, "end": 666.22, "word": " الكلام", "probability": 0.8987630208333334}, {"start": 666.22, "end": 666.64, "word": " صحيح", "probability": 0.9891357421875}, {"start": 666.64, "end": 666.8, "word": " على", "probability": 0.91943359375}, {"start": 666.8, "end": 667.08, "word": " كل", "probability": 0.99169921875}, {"start": 667.08, "end": 668.14, "word": " الـSubintervals", "probability": 0.895703125}, {"start": 668.14, "end": 668.5, "word": " يعني", "probability": 0.74853515625}, {"start": 668.5, "end": 669.28, "word": " صحيح", "probability": 0.99169921875}, {"start": 669.28, "end": 669.68, "word": " لكل", "probability": 0.8955078125}, {"start": 669.68, "end": 669.9, "word": " K", "probability": 0.78125}, {"start": 669.9, "end": 670.04, "word": " من", "probability": 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"الأن لو أخدنا الفترة اللي هي A وB و جزّقناها X0 X1 لعند XN", "tokens": [6027, 33456, 45164, 5551, 9778, 3215, 8315, 27188, 2655, 25720, 13672, 1829, 39896, 316, 4032, 33, 4032, 10874, 11622, 11703, 4587, 8315, 11296, 1783, 15, 1783, 16, 5296, 3615, 41260, 1783, 45], "avg_logprob": -0.2921401515151515, "compression_ratio": 1.0555555555555556, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 765.57, "end": 765.95, "word": "الأن", "probability": 0.61376953125}, {"start": 765.95, "end": 766.09, "word": " لو", "probability": 0.89208984375}, {"start": 766.09, "end": 766.73, "word": " أخدنا", "probability": 0.920166015625}, {"start": 766.73, "end": 769.13, "word": " الفترة", "probability": 0.9637044270833334}, {"start": 769.13, "end": 770.39, "word": " اللي", "probability": 0.677734375}, {"start": 770.39, "end": 770.75, "word": " هي", "probability": 0.95263671875}, {"start": 770.75, "end": 771.35, "word": " A", "probability": 0.40771484375}, {"start": 771.35, "end": 773.09, 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"probability": 0.8603515625}, {"start": 875.27, "end": 876.15, "word": " لل", "probability": 0.58984375}, {"start": 876.15, "end": 877.01, "word": " xk", "probability": 0.8056640625}, {"start": 877.01, "end": 877.43, "word": " minus", "probability": 0.97607421875}, {"start": 877.43, "end": 877.89, "word": " xk", "probability": 0.979248046875}, {"start": 877.89, "end": 878.21, "word": " minus", "probability": 0.99462890625}, {"start": 878.21, "end": 878.75, "word": " واحد", "probability": 0.97998046875}, {"start": 878.75, "end": 879.75, "word": " mk", "probability": 0.7744140625}, {"start": 879.75, "end": 880.35, "word": " capital", "probability": 0.85498046875}, {"start": 880.35, "end": 880.89, "word": " k", "probability": 0.607421875}, {"start": 880.89, "end": 881.01, "word": " من", "probability": 0.98779296875}, {"start": 881.01, "end": 881.27, "word": " عند", "probability": 0.990234375}, {"start": 881.27, "end": 881.81, "word": " واحد", "probability": 0.993896484375}, {"start": 881.81, "end": 882.81, "word": " لعند", "probability": 0.9772135416666666}, {"start": 882.81, "end": 883.11, "word": " n", "probability": 0.69189453125}], "temperature": 1.0}, {"id": 34, "seek": 90747, "start": 883.73, "end": 907.47, "text": "وقلنا إن الـ lower للـ B و الـ F دايما أصغر سوى ال upper للـ B و الـ F فده اللي حتى الآن اللي حكيناه الآن نيجي ناخد الملاحظة اللي عندي if Q above is a refinement of B لو قلنا إن Q عبارة عن إيه شمالها؟ refinement of B", "tokens": [2407, 4587, 1211, 8315, 36145, 2423, 39184, 3126, 24976, 39184, 363, 4032, 2423, 39184, 479, 11778, 47302, 15042, 5551, 9381, 17082, 2288, 8608, 2407, 7578, 2423, 6597, 24976, 39184, 363, 4032, 2423, 39184, 479, 6156, 3215, 3224, 13672, 1829, 11331, 49975, 6024, 48506, 13672, 1829, 11331, 4117, 1829, 8315, 3224, 6024, 48506, 8717, 1829, 7435, 1829, 8717, 47283, 3215, 9673, 15040, 5016, 19913, 3660, 13672, 1829, 18871, 16254, 498, 1249, 3673, 307, 257, 1895, 30229, 295, 363, 45164, 12174, 1211, 8315, 36145, 1249, 6225, 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"probability": 0.8216145833333334}, {"start": 888.59, "end": 889.05, "word": " أصغر", "probability": 0.8829345703125}, {"start": 889.05, "end": 889.37, "word": " سوى", "probability": 0.5177001953125}, {"start": 889.37, "end": 889.47, "word": " ال", "probability": 0.57177734375}, {"start": 889.47, "end": 889.79, "word": " upper", "probability": 0.359619140625}, {"start": 889.79, "end": 890.59, "word": " للـ", "probability": 0.7470703125}, {"start": 890.59, "end": 890.91, "word": " B", "probability": 0.6904296875}, {"start": 890.91, "end": 891.41, "word": " و", "probability": 0.93994140625}, {"start": 891.41, "end": 891.49, "word": " الـ", "probability": 0.76318359375}, {"start": 891.49, "end": 891.63, "word": " F", "probability": 0.8896484375}, {"start": 891.63, "end": 891.91, "word": " فده", "probability": 0.6388346354166666}, {"start": 891.91, "end": 892.03, "word": " اللي", "probability": 0.85791015625}, {"start": 892.03, "end": 892.39, "word": " حتى", "probability": 0.944580078125}, {"start": 892.39, "end": 892.85, "word": " الآن", "probability": 0.83056640625}, {"start": 892.85, "end": 893.49, "word": " اللي", "probability": 0.893798828125}, {"start": 893.49, "end": 894.71, "word": " حكيناه", "probability": 0.921484375}, {"start": 894.71, "end": 895.35, "word": " الآن", "probability": 0.6026611328125}, {"start": 895.35, "end": 896.89, "word": " نيجي", "probability": 0.78515625}, {"start": 896.89, "end": 897.27, "word": " ناخد", "probability": 0.9698893229166666}, {"start": 897.27, "end": 897.93, "word": " الملاحظة", "probability": 0.991015625}, {"start": 897.93, "end": 898.03, "word": " اللي", "probability": 0.967041015625}, {"start": 898.03, "end": 898.47, "word": " عندي", "probability": 0.699951171875}, {"start": 898.47, "end": 899.67, "word": " if", "probability": 0.5087890625}, {"start": 899.67, "end": 900.13, "word": " Q", "probability": 0.54150390625}, {"start": 900.13, "end": 900.87, "word": " above", "probability": 0.91162109375}, {"start": 900.87, "end": 901.41, "word": " is", "probability": 0.955078125}, {"start": 901.41, "end": 901.55, "word": " a", "probability": 0.94970703125}, {"start": 901.55, "end": 901.97, "word": " refinement", "probability": 0.880615234375}, {"start": 901.97, "end": 902.29, "word": " of", "probability": 0.984375}, {"start": 902.29, "end": 902.59, "word": " B", "probability": 0.9853515625}, {"start": 902.59, "end": 903.37, "word": " لو", "probability": 0.8916015625}, {"start": 903.37, "end": 903.69, "word": " قلنا", "probability": 0.9557291666666666}, {"start": 903.69, "end": 903.83, "word": " إن", "probability": 0.93408203125}, {"start": 903.83, "end": 904.11, "word": " Q", "probability": 0.6884765625}, {"start": 904.11, "end": 904.51, "word": " عبارة", "probability": 0.983642578125}, {"start": 904.51, "end": 904.65, "word": " عن", "probability": 0.9873046875}, {"start": 904.65, "end": 904.77, "word": " إيه", "probability": 0.7947591145833334}, {"start": 904.77, "end": 905.93, "word": " شمالها؟", "probability": 0.7572265625}, {"start": 905.93, "end": 906.55, "word": " refinement", "probability": 0.733642578125}, {"start": 906.55, "end": 907.23, "word": " of", "probability": 0.9833984375}, {"start": 907.23, "end": 907.47, "word": " B", "probability": 0.98828125}], "temperature": 1.0}, {"id": 35, "seek": 92959, "start": 908.23, "end": 929.59, "text": "refinement معناته اضفت اللي هو نقطة او اكتر من نقطة لنقاط ال partition اللي عندى اذا اي فترة اي فترة اللي هي xk minus واحد لعند xk اللي هو في ال partition بيه هقدر اكتبها على صورة مين", "tokens": [33115, 30229, 20449, 8315, 47395, 1975, 11242, 5172, 2655, 13672, 1829, 31439, 8717, 47432, 3660, 1975, 2407, 1975, 4117, 2655, 2288, 9154, 8717, 47432, 3660, 5296, 1863, 4587, 41193, 2423, 24808, 13672, 1829, 43242, 7578, 1975, 15730, 1975, 1829, 6156, 2655, 25720, 1975, 1829, 6156, 2655, 25720, 13672, 1829, 39896, 2031, 74, 3175, 36764, 24401, 5296, 3615, 41260, 2031, 74, 13672, 1829, 31439, 8978, 2423, 24808, 4724, 1829, 3224, 8032, 28543, 2288, 1975, 4117, 2655, 3555, 11296, 15844, 20328, 13063, 3660, 3714, 9957], "avg_logprob": -0.1834077448362396, "compression_ratio": 1.697674418604651, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 908.23, "end": 908.87, "word": "refinement", "probability": 0.7802734375}, {"start": 908.87, "end": 909.39, "word": " معناته", "probability": 0.77978515625}, {"start": 909.39, "end": 910.03, "word": " اضفت", "probability": 0.647216796875}, {"start": 910.03, "end": 910.37, "word": " اللي", "probability": 0.3516845703125}, {"start": 910.37, "end": 910.75, "word": " هو", "probability": 0.98388671875}, {"start": 910.75, "end": 911.85, "word": " نقطة", "probability": 0.91064453125}, {"start": 911.85, "end": 912.45, "word": " او", "probability": 0.715087890625}, {"start": 912.45, "end": 912.97, "word": " اكتر", "probability": 0.930419921875}, {"start": 912.97, "end": 913.09, "word": " من", "probability": 0.99072265625}, {"start": 913.09, "end": 913.65, "word": " نقطة", "probability": 0.9768880208333334}, {"start": 913.65, "end": 914.57, "word": " لنقاط", "probability": 0.9158935546875}, {"start": 914.57, "end": 914.69, "word": " ال", "probability": 0.93701171875}, {"start": 914.69, "end": 915.05, "word": " partition", "probability": 0.5048828125}, {"start": 915.05, "end": 915.35, "word": " اللي", "probability": 0.94140625}, {"start": 915.35, "end": 915.79, "word": " عندى", "probability": 0.702880859375}, {"start": 915.79, "end": 916.51, "word": " اذا", "probability": 0.83837890625}, {"start": 916.51, "end": 916.87, "word": " اي", "probability": 0.728515625}, {"start": 916.87, "end": 917.41, "word": " فترة", "probability": 0.99267578125}, {"start": 917.41, "end": 918.07, "word": " اي", "probability": 0.758056640625}, {"start": 918.07, "end": 918.67, "word": " فترة", "probability": 0.9899088541666666}, {"start": 918.67, "end": 919.41, "word": " اللي", "probability": 0.883056640625}, {"start": 919.41, "end": 919.73, "word": " هي", "probability": 0.861328125}, {"start": 919.73, "end": 920.81, "word": " xk", "probability": 0.669189453125}, {"start": 920.81, "end": 922.45, "word": " minus", "probability": 0.219482421875}, {"start": 922.45, "end": 923.21, "word": " واحد", "probability": 0.85986328125}, {"start": 923.21, "end": 923.69, "word": " لعند", "probability": 0.9231770833333334}, {"start": 923.69, "end": 924.73, "word": " xk", "probability": 0.871826171875}, {"start": 924.73, "end": 925.53, "word": " اللي", "probability": 0.9150390625}, {"start": 925.53, "end": 925.75, "word": " هو", "probability": 0.97314453125}, {"start": 925.75, "end": 925.91, "word": " في", "probability": 0.84375}, {"start": 925.91, "end": 926.07, "word": " ال", "probability": 0.86181640625}, {"start": 926.07, "end": 926.51, "word": " partition", "probability": 0.8720703125}, {"start": 926.51, "end": 927.55, "word": " بيه", "probability": 0.8486328125}, {"start": 927.55, "end": 928.07, "word": " هقدر", "probability": 0.8850911458333334}, {"start": 928.07, "end": 928.51, "word": " اكتبها", "probability": 0.98671875}, {"start": 928.51, "end": 928.73, "word": " على", "probability": 0.908203125}, {"start": 928.73, "end": 929.17, "word": " صورة", "probability": 0.9332682291666666}, {"start": 929.17, "end": 929.59, "word": " مين", "probability": 0.9111328125}], "temperature": 1.0}, {"id": 36, "seek": 94602, "start": 930.18, "end": 946.02, "text": "اللي هو yj-1 yj اتحاد ال yj yj زاد 1 اتحاد ده ما اصل عند اتحاد yn نقص 1 لعند مين لعند ال yn ماشي الحال طبعا الان هذول عدد الفترات على حسب الإضافة اللي هنا", "tokens": [6027, 20292, 31439, 288, 73, 12, 16, 288, 73, 1975, 2655, 5016, 18513, 2423, 288, 73, 288, 73, 30767, 18513, 502, 1975, 2655, 5016, 18513, 11778, 3224, 19446, 1975, 36520, 43242, 1975, 2655, 5016, 18513, 17861, 8717, 4587, 9381, 502, 5296, 3615, 41260, 3714, 9957, 5296, 3615, 41260, 2423, 17861, 3714, 33599, 1829, 21542, 6027, 23032, 3555, 3615, 995, 2423, 7649, 8032, 8848, 12610, 6225, 3215, 3215, 27188, 2655, 2288, 9307, 15844, 11331, 35457, 33688, 11242, 31845, 3660, 13672, 1829, 34105], "avg_logprob": -0.2551448250689158, "compression_ratio": 1.6688311688311688, "no_speech_prob": 2.086162567138672e-06, "words": [{"start": 930.18, "end": 930.58, "word": "اللي", "probability": 0.597900390625}, {"start": 930.58, "end": 930.88, "word": " هو", "probability": 0.9541015625}, {"start": 930.88, "end": 931.46, "word": " yj", "probability": 0.539306640625}, {"start": 931.46, "end": 932.22, "word": "-1", "probability": 0.653076171875}, {"start": 932.22, "end": 933.14, "word": " yj", "probability": 0.578857421875}, {"start": 933.14, "end": 933.96, "word": " اتحاد", "probability": 0.81829833984375}, {"start": 933.96, "end": 934.06, "word": " ال", "probability": 0.79736328125}, {"start": 934.06, "end": 934.48, "word": " yj", "probability": 0.724365234375}, {"start": 934.48, "end": 934.88, "word": " yj", "probability": 0.5792236328125}, {"start": 934.88, "end": 935.14, "word": " زاد", "probability": 0.259857177734375}, {"start": 935.14, "end": 935.28, "word": " 1", "probability": 0.7314453125}, {"start": 935.28, "end": 935.82, "word": " اتحاد", "probability": 0.98388671875}, {"start": 935.82, "end": 935.98, "word": " ده", "probability": 0.812744140625}, {"start": 935.98, "end": 936.1, "word": " ما", "probability": 0.802734375}, {"start": 936.1, "end": 936.26, "word": " اصل", "probability": 0.484619140625}, {"start": 936.26, "end": 936.5, "word": " عند", "probability": 0.91845703125}, {"start": 936.5, "end": 936.86, "word": " اتحاد", "probability": 0.9896240234375}, {"start": 936.86, "end": 937.18, "word": " yn", "probability": 0.439697265625}, {"start": 937.18, "end": 937.52, "word": " نقص", "probability": 0.7312825520833334}, {"start": 937.52, "end": 937.94, "word": " 1", "probability": 0.6484375}, {"start": 937.94, "end": 938.62, "word": " لعند", "probability": 0.8219401041666666}, {"start": 938.62, "end": 939.14, "word": " مين", "probability": 0.740234375}, {"start": 939.14, "end": 940.0, "word": " لعند", "probability": 0.9005533854166666}, {"start": 940.0, "end": 940.14, "word": " ال", "probability": 0.92919921875}, {"start": 940.14, "end": 940.54, "word": " yn", "probability": 0.6591796875}, {"start": 940.54, "end": 941.16, "word": " ماشي", "probability": 0.8400065104166666}, {"start": 941.16, "end": 941.48, "word": " الحال", "probability": 0.95751953125}, {"start": 941.48, "end": 942.16, "word": " طبعا", "probability": 0.9619140625}, {"start": 942.16, "end": 942.9, "word": " الان", "probability": 0.729248046875}, {"start": 942.9, "end": 943.7, "word": " هذول", "probability": 0.73828125}, {"start": 943.7, "end": 944.04, "word": " عدد", "probability": 0.85595703125}, {"start": 944.04, "end": 944.62, "word": " الفترات", "probability": 0.971923828125}, {"start": 944.62, "end": 944.82, "word": " على", "probability": 0.79736328125}, {"start": 944.82, "end": 945.14, "word": " حسب", "probability": 0.99462890625}, {"start": 945.14, "end": 945.64, "word": " 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"word": " عبارة", "probability": 0.994384765625}, {"start": 1121.7, "end": 1121.86, "word": " عن", "probability": 0.9853515625}, {"start": 1121.86, "end": 1122.16, "word": " remen", "probability": 0.2269287109375}, {"start": 1122.16, "end": 1122.56, "word": " integral", "probability": 0.69580078125}, {"start": 1122.56, "end": 1122.82, "word": " بل", "probability": 0.569091796875}, {"start": 1122.82, "end": 1123.22, "word": " وقيمة", "probability": 0.76171875}, {"start": 1123.22, "end": 1123.34, "word": " ال", "probability": 0.88525390625}, {"start": 1123.34, "end": 1123.6, "word": " remen", "probability": 0.8544921875}, {"start": 1123.6, "end": 1124.08, "word": " integral", "probability": 0.76708984375}, {"start": 1124.08, "end": 1124.68, "word": " هو", "probability": 0.91357421875}, {"start": 1124.68, "end": 1125.12, "word": " عبارة", "probability": 0.99560546875}, {"start": 1125.12, "end": 1125.26, "word": " عن", "probability": 0.9970703125}, {"start": 1125.26, "end": 1125.52, 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"compression_ratio": 1.8059701492537314, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 1127.1, "end": 1127.66, "word": "من", "probability": 0.93017578125}, {"start": 1127.66, "end": 1128.06, "word": " اللي", "probability": 0.742431640625}, {"start": 1128.06, "end": 1128.46, "word": " هو", "probability": 0.98583984375}, {"start": 1128.46, "end": 1129.7, "word": " انه", "probability": 0.5838623046875}, {"start": 1129.7, "end": 1130.62, "word": " ناخد", "probability": 0.8792317708333334}, {"start": 1130.62, "end": 1131.52, "word": " نزغر", "probability": 0.72515869140625}, {"start": 1131.52, "end": 1131.68, "word": " اللي", "probability": 0.95654296875}, {"start": 1131.68, "end": 1131.86, "word": " هو", "probability": 0.98583984375}, {"start": 1131.86, "end": 1132.34, "word": " الأبر", "probability": 0.6556396484375}, {"start": 1132.34, "end": 1132.84, "word": " و", "probability": 0.94482421875}, {"start": 1132.84, "end": 1133.4, "word": " نرفع", "probability": 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139694, "start": 1374.62, "end": 1396.94, "text": "لأن هذه أشملها جزء من 100 من هذه كلها فال supremum لل function عالي كبيرة أكبر أو يساوي ال supremum على مين؟ على الصغيرة و similarly للتانية إذا ال MK أكبر أو يساوي MK' Similarly MK أكبر يساوي MKW' لأن هذه عبارة عن ال supremum على الجزء الثاني منها اللي إلى جاي، واضح؟", "tokens": [1211, 33456, 29538, 5551, 8592, 42213, 11296, 10874, 11622, 38207, 9154, 2319, 9154, 29538, 28242, 11296, 6156, 6027, 23710, 449, 24976, 2445, 6225, 6027, 1829, 9122, 3555, 48923, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 2423, 23710, 449, 15844, 3714, 9957, 22807, 15844, 31767, 17082, 48923, 4032, 14138, 24976, 2655, 7649, 10632, 11933, 15730, 2423, 30770, 5551, 4117, 26890, 34051, 7251, 3794, 995, 45865, 30770, 6, 13157, 30770, 5551, 4117, 26890, 7251, 3794, 995, 45865, 30770, 54, 6, 5296, 33456, 29538, 6225, 3555, 9640, 3660, 18871, 2423, 23710, 449, 15844, 25724, 11622, 38207, 6024, 104, 7649, 1829, 9154, 11296, 13672, 1829, 30731, 10874, 47302, 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" الجزء", "probability": 0.9778645833333334}, {"start": 1394.16, "end": 1394.76, "word": " الثاني", "probability": 0.946044921875}, {"start": 1394.76, "end": 1395.22, "word": " منها", "probability": 0.994384765625}, {"start": 1395.22, "end": 1395.62, "word": " اللي", "probability": 0.56488037109375}, {"start": 1395.62, "end": 1395.8, "word": " إلى", "probability": 0.408935546875}, {"start": 1395.8, "end": 1396.4, "word": " جاي،", "probability": 0.7403971354166666}, {"start": 1396.4, "end": 1396.94, "word": " واضح؟", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 57, "seek": 140530, "start": 1397.48, "end": 1405.3, "text": "إذا صار عندي therefore الآن بدأ أصل لحاجة معينة اللي هي mk في xk ناقص xk minus واحد", "tokens": [28814, 15730, 20328, 9640, 18871, 16254, 4412, 6024, 48506, 47525, 10721, 5551, 36520, 5296, 5016, 26108, 3660, 20449, 9957, 3660, 13672, 1829, 39896, 275, 74, 8978, 2031, 74, 8717, 995, 4587, 9381, 2031, 74, 3175, 36764, 24401], "avg_logprob": 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والF", "tokens": [1863, 4587, 9381, 1783, 45, 8717, 4587, 9381, 502, 23758, 8978, 2423, 14407, 4587, 3615, 3714, 9957, 31439, 5551, 9381, 15040, 14111, 23758, 31439, 6225, 3555, 9640, 3660, 18871, 13672, 1829, 31439, 2423, 6597, 2408, 24976, 24808, 3714, 9957, 2423, 363, 6, 31439, 4724, 3794, 995, 45865, 2423, 6597, 2408, 24976, 363, 6, 16070, 37], "avg_logprob": -0.32338169536420275, "compression_ratio": 1.4285714285714286, "no_speech_prob": 1.8477439880371094e-05, "words": [{"start": 1595.51, "end": 1596.15, "word": "نقص", "probability": 0.6288248697916666}, {"start": 1596.15, "end": 1596.69, "word": " XN", "probability": 0.3997802734375}, {"start": 1596.69, "end": 1597.19, "word": " نقص", "probability": 0.8736979166666666}, {"start": 1597.19, "end": 1597.53, "word": " 1", "probability": 0.51220703125}, {"start": 1597.53, "end": 1598.39, "word": " هذا", "probability": 0.56640625}, {"start": 1598.39, "end": 1598.57, "word": " في", "probability": 0.91552734375}, {"start": 1598.57, 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{"start": 1617.95, "end": 1618.33, "word": " partition", "probability": 0.529296875}, {"start": 1618.33, "end": 1619.37, "word": " صار", "probability": 0.931396484375}, {"start": 1619.37, "end": 1619.61, "word": " عند", "probability": 0.96337890625}, {"start": 1619.61, "end": 1619.83, "word": " الـ", "probability": 0.759765625}, {"start": 1619.83, "end": 1620.21, "word": " partition", "probability": 0.96337890625}, {"start": 1620.21, "end": 1620.63, "word": " اللي", "probability": 0.97900390625}, {"start": 1620.63, "end": 1620.93, "word": " هو", "probability": 0.63623046875}, {"start": 1620.93, "end": 1621.35, "word": " الأبر", "probability": 0.874267578125}, {"start": 1621.35, "end": 1621.65, "word": " للـ", "probability": 0.628662109375}, {"start": 1621.65, "end": 1622.01, "word": " partition", "probability": 0.9677734375}, {"start": 1622.01, "end": 1622.91, "word": " الجديد", "probability": 0.9508463541666666}, {"start": 1622.91, "end": 1623.59, "word": " أصغر", "probability": 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"temperature": 1.0}, {"id": 85, "seek": 205146, "start": 2036.56, "end": 2051.46, "text": "Integral هو عبارة عن الـ Supremum للـ Lower Sums و ال .. واضح يا عيسى و ال Upper Integral هو عبارة عن ال Infimum لمن؟ لل Upper Sums متوقع أنه يقول لنا أنه احنا بنقول عنها", "tokens": [40, 9358, 861, 304, 31439, 6225, 3555, 9640, 3660, 18871, 2423, 39184, 9141, 2579, 449, 24976, 39184, 25523, 318, 8099, 4032, 2423, 4386, 4032, 46958, 5016, 35186, 6225, 1829, 3794, 7578, 4032, 2423, 36926, 23894, 304, 31439, 6225, 3555, 9640, 3660, 18871, 2423, 11537, 332, 449, 5296, 27842, 22807, 24976, 36926, 318, 8099, 44650, 30543, 3615, 14739, 3224, 7251, 39648, 5296, 8315, 14739, 3224, 1975, 5016, 8315, 44945, 39648, 18871, 11296], "avg_logprob": -0.2860243196288745, "compression_ratio": 1.537037037037037, "no_speech_prob": 8.106231689453125e-06, "words": [{"start": 2036.56, "end": 2037.24, "word": "Integral", "probability": 0.772705078125}, {"start": 2037.24, "end": 2037.4, "word": " هو", "probability": 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remain integrable اذا تساوت ايش اتجهتين ماشي جابيه لبس خلينا نبرهن او نتطلع على هذه اللي أمامنا برضه ملاحظة سهلة الملاحظة بتقولي لو الان جينا", "tokens": [5172, 30543, 31767, 5172, 5016, 3660, 16712, 7649, 10632, 44650, 30543, 3615, 7251, 39648, 8315, 16472, 3224, 6225, 8315, 6024, 48506, 44945, 38251, 1829, 11296, 6222, 16200, 424, 638, 1975, 15730, 6055, 3794, 995, 35473, 1975, 1829, 8592, 1975, 2655, 7435, 3224, 2655, 9957, 3714, 33599, 1829, 10874, 16758, 1829, 3224, 5296, 3555, 3794, 16490, 20292, 8315, 8717, 26890, 3224, 1863, 1975, 2407, 8717, 2655, 9566, 1211, 3615, 15844, 29538, 13672, 1829, 5551, 2304, 10943, 8315, 4724, 43042, 3224, 3714, 15040, 5016, 19913, 3660, 8608, 3224, 37977, 9673, 15040, 5016, 19913, 3660, 39894, 39648, 1829, 45164, 2423, 7649, 10874, 1829, 8315], "avg_logprob": -0.20297180948888555, "compression_ratio": 1.6220095693779903, "no_speech_prob": 3.552436828613281e-05, "words": [{"start": 2051.93, "end": 2052.49, "word": "فوق", "probability": 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هناك واضح أه نيجي لنظرية اللي عندى هذه", "tokens": [2304, 3615, 32887, 5172, 23758, 41850, 37893, 11331, 26108, 3660, 5296, 11622, 27842, 3224, 5551, 9381, 15040, 14111, 6156, 3555, 9381, 13546, 2752, 5551, 9381, 17082, 2288, 8608, 2407, 16606, 5296, 4032, 4724, 5172, 4032, 5296, 4032, 4724, 5172, 5551, 9381, 17082, 2288, 8608, 2407, 16606, 2752, 8978, 2423, 272, 12, 64, 13672, 1829, 4032, 11242, 33753, 3224, 34105, 4117, 34051, 11242, 5016, 9154, 13672, 1829, 3714, 4117, 2655, 37746, 34105, 4117, 4032, 46958, 5016, 5551, 3224, 8717, 1829, 7435, 1829, 5296, 1863, 19913, 2288, 10632, 13672, 1829, 43242, 7578, 29538], "avg_logprob": -0.3147078681251277, "compression_ratio": 1.6666666666666667, "no_speech_prob": 2.7358531951904297e-05, "words": [{"start": 2199.26, "end": 2199.9, "word": "معروف", "probability": 0.8226318359375}, {"start": 2199.9, "end": 2200.06, "word": " هذا", "probability": 0.88427734375}, {"start": 2200.06, "end": 2200.2, "word": " أنا", "probability": 0.19580078125}, 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"end": 2476.66, "text": "الـ U of F هو الـ infimum لكل الـ U, B, T, 2 و F such that B2 element in the set of all partitions نيجي الآن لبعده الـ Definition الان .. الان احنا زغرنا ال other sums و كبرنا ال other sums", "tokens": [6027, 39184, 624, 295, 479, 31439, 2423, 39184, 1536, 332, 449, 5296, 28820, 2423, 39184, 624, 11, 363, 11, 314, 11, 568, 4032, 479, 1270, 300, 363, 17, 4478, 294, 264, 992, 295, 439, 644, 2451, 8717, 1829, 7435, 1829, 6024, 48506, 5296, 3555, 22488, 3224, 2423, 39184, 46245, 849, 2423, 7649, 4386, 2423, 7649, 1975, 5016, 8315, 30767, 17082, 2288, 8315, 2423, 661, 34499, 4032, 9122, 26890, 8315, 2423, 661, 34499], "avg_logprob": -0.3062928082191781, "compression_ratio": 1.4114285714285715, "no_speech_prob": 0.0, "words": [{"start": 2449.0, "end": 2449.34, "word": "الـ", "probability": 0.79541015625}, {"start": 2449.34, "end": 2449.46, "word": " U", "probability": 0.537109375}, {"start": 2449.46, "end": 2449.64, "word": " of", "probability": 0.7021484375}, 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" كبرنا", "probability": 0.9274088541666666}, {"start": 2475.68, "end": 2475.82, "word": " ال", "probability": 0.9140625}, {"start": 2475.82, "end": 2476.08, "word": " other", "probability": 0.64697265625}, {"start": 2476.08, "end": 2476.66, "word": " sums", "probability": 0.8994140625}], "temperature": 1.0}, {"id": 104, "seek": 250386, "start": 2477.6, "end": 2503.86, "text": "يوم مالتجهن مع بعض بنسمي اللي هو الالتقاء هذا أو الرقم اللي التقن فيه هو قيمة الـ Remain Integral للفункشن F على الفترة المذكورة وهذا هو التعريف let I بسوء A و B and let F من I لعند R be a bounded function then F is said to be Remain Integrable on I if L of F", "tokens": [1829, 20498, 3714, 6027, 2655, 7435, 3224, 1863, 20449, 45030, 11242, 44945, 38251, 1829, 13672, 1829, 31439, 2423, 6027, 2655, 4587, 16606, 23758, 34051, 34892, 4587, 2304, 13672, 1829, 16712, 4587, 1863, 8978, 3224, 31439, 12174, 32640, 3660, 2423, 39184, 4080, 491, 23894, 304, 24976, 5172, 26533, 8592, 1863, 479, 15844, 27188, 2655, 25720, 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0.68505859375}, {"start": 3347.91, "end": 3349.51, "word": " بساوية", "probability": 0.96611328125}, {"start": 3349.51, "end": 3350.27, "word": " نص", "probability": 0.97509765625}, {"start": 3350.27, "end": 3351.49, "word": " و", "probability": 0.347412109375}, {"start": 3351.49, "end": 3351.73, "word": " الله", "probability": 0.8046875}, {"start": 3351.73, "end": 3352.15, "word": " يعطيك", "probability": 0.9456787109375}, {"start": 3352.15, "end": 3352.65, "word": " العافية", "probability": 0.7454427083333334}, {"start": 3352.65, "end": 3352.77, "word": " و", "probability": 0.87744140625}, {"start": 3352.77, "end": 3353.13, "word": " المرة", "probability": 0.880859375}, {"start": 3353.13, "end": 3353.51, "word": " القادمة", "probability": 0.6564127604166666}, {"start": 3353.51, "end": 3354.59, "word": " نكملها", "probability": 0.8861083984375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 3354.958375, "duration_after_vad": 3271.3668749999933}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/rynkk8jX4rU_postprocess.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/rynkk8jX4rU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0de190757b736dd81284649e1ec5293b0fefb302
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/rynkk8jX4rU_postprocess.srt
@@ -0,0 +1,2216 @@
+1
+00:00:05,650 --> 00:00:13,670
+بسم الله الرحمن الرحيم سنبدأ اليوم في مساق تحليل
+
+2
+00:00:13,670 --> 00:00:22,140
+رياضي 2 أو تحليل حقيقي 2متطلب تخصص لكلية العلوم
+
+3
+00:00:22,140 --> 00:00:29,800
+لقسم الرياضيات نبدأ الآن بال course outline أو خطة
+
+4
+00:00:29,800 --> 00:00:36,840
+المساق لمساق real analysis two math four three one
+
+5
+00:00:36,840 --> 00:00:44,350
+zero ال course outline كما هو أمامكم الآنال text
+
+6
+00:00:44,350 --> 00:00:48,090
+book هو نفس اللي هو ال text book اللي أخدناه في
+
+7
+00:00:48,090 --> 00:00:52,650
+real analysis واحد يعني انتداد لاللي هي المادة
+
+8
+00:00:52,650 --> 00:00:55,750
+اللي موجودة في real analysis واحد الكتاب طبعا
+
+9
+00:00:55,750 --> 00:01:02,090
+introduction to real analysis لbartel and sherbert
+
+10
+00:01:02,590 --> 00:01:11,230
+الcourse outline اللي هيتمثل في الوصف الآن للمادة
+
+11
+00:01:11,230 --> 00:01:17,630
+ومن ثم طريقة التقييم وبعض ال references اللي ممكن
+
+12
+00:01:17,630 --> 00:01:18,750
+نستعين بها
+
+13
+00:01:21,640 --> 00:01:27,800
+في البداية هنبدأ نهينا لعند نهاية تقريبا أو جزء من
+
+14
+00:01:27,800 --> 00:01:31,620
+chapter 5 المفروض في real analysis 1 الآن هنبدأ في
+
+15
+00:01:31,620 --> 00:01:34,880
+chapter 6 chapter 6 اللي هو بيبدأ من عند ال
+
+16
+00:01:34,880 --> 00:01:40,980
+derivatives ال derivative أو الاشتقاقحنلاقي نلاحظ
+
+17
+00:01:40,980 --> 00:01:46,100
+إنه Real Analysis 2 بتمثل يعني أو بيميزه إنه معظم
+
+18
+00:01:46,100 --> 00:01:51,060
+المعلومات العامة الأسماء مرت علينا سواء في ال
+
+19
+00:01:51,060 --> 00:01:55,900
+calculus أو اللي هو مرت في بعض اللي هي حتى في ال
+
+20
+00:01:55,900 --> 00:02:03,930
+complex أو بعض المساقات فالعناوين مألوفةولكن طبعا
+
+21
+00:02:03,930 --> 00:02:09,810
+سنتحدث في أثناء الفصل عن اللي هي المعلومات أو
+
+22
+00:02:09,810 --> 00:02:16,590
+الأمور التحليلية وخصوصا براهين النظريات وإعطاء
+
+23
+00:02:16,590 --> 00:02:20,370
+الأمثل اللي كنا قبل هيك في ال calculus ما نبرهنهاش
+
+24
+00:02:20,370 --> 00:02:27,280
+فالآن هنبرهن هذه اللي هي النظرياتعنا في الـ
+
+25
+00:02:27,280 --> 00:02:29,780
+Chapter 6 هنحكي عن الـ Derivative هنحكي عن الـ
+
+26
+00:02:29,780 --> 00:02:36,160
+Mean Value Theorem هنحكي عن ال .. Lobitals Rule عن
+
+27
+00:02:36,160 --> 00:02:42,960
+Taylor's Theorem هنحكي عن اللي هو في الـ Chapter
+
+28
+00:02:42,960 --> 00:02:47,000
+السابع هي كما نقول خلصنا ال Chapter السادس و هنبدأ
+
+29
+00:02:47,000 --> 00:02:49,040
+في ال Chapter السابع اللي هو الـ Remain
+
+30
+00:02:49,040 --> 00:02:54,520
+Integrability أو اللي هو قابلية التكاملwith
+
+31
+00:02:54,520 --> 00:02:59,200
+respect to remand بالنسبة لـ remand و هنتحدث أيضًا
+
+32
+00:02:59,200 --> 00:03:03,600
+على بعض خواص أو properties of the remand integral
+
+33
+00:03:03,600 --> 00:03:07,100
+متوقع
+
+34
+00:03:07,100 --> 00:03:13,960
+أن هذه الموضوعات أن نخلص منها خلال شهر و نص ان شاء
+
+35
+00:03:13,960 --> 00:03:18,700
+الله أو أقل شوية هيكون عنا بكون أوصلنا لاللي هو ال
+
+36
+00:03:18,700 --> 00:03:23,130
+first examالحناخد ال first exam إذا في chapter 6
+
+37
+00:03:23,130 --> 00:03:28,230
+وجزء من chapter 7 الآن الجزء الثاني من المادة
+
+38
+00:03:28,230 --> 00:03:32,450
+هنكمل chapter 7 هنحكي عن the fundamental theorem
+
+39
+00:03:32,450 --> 00:03:37,730
+of calculus على الشقين وحنحكي عن the integral as a
+
+40
+00:03:37,730 --> 00:03:41,750
+limit الوصول لل integration عن طريق ال limitفي
+
+41
+00:03:41,750 --> 00:03:44,750
+الأول هنحكي عن وصول لل integration أو مفهوم ال
+
+42
+00:03:44,750 --> 00:03:47,930
+integration عن طريق اللي هو ال upper sum و ال
+
+43
+00:03:47,930 --> 00:03:51,890
+lower sum أو عن طريق اللي هي ال supremum ل ال
+
+44
+00:03:51,890 --> 00:03:55,810
+upper sum و ال infimum أو ال supremum ل ال least
+
+45
+00:03:55,810 --> 00:04:00,110
+upper bound و ال greatest lower bound الجزء الثاني
+
+46
+00:04:00,110 --> 00:04:04,250
+اللي هنتحدث فيه اللي هو .. بعيد قاعد الجزء ..
+
+47
+00:04:04,250 --> 00:04:06,870
+الجزء الثاني اللي هنتحدث فيه اللي هو the
+
+48
+00:04:06,870 --> 00:04:10,970
+fundamental theorem of calculusو the integral as a
+
+49
+00:04:10,970 --> 00:04:14,650
+limit وقلنا اللي هو الوصول لل integration عن طريق
+
+50
+00:04:14,650 --> 00:04:20,930
+ال limit للriman sum أو عن طريق اللي هو ال upper
+
+51
+00:04:20,930 --> 00:04:26,510
+sum والlower sum وحنشوف إيش اللي هو كيف حنصل ل
+
+52
+00:04:26,510 --> 00:04:31,250
+اللي هو ال integration من الطريقين إلى نفس اللي هو
+
+53
+00:04:31,250 --> 00:04:34,890
+الriman integral يعني هيكون they are equivalent
+
+54
+00:04:35,870 --> 00:04:42,330
+الجزء الآخر من chapter 7 هنحكي عن approximate
+
+55
+00:04:42,330 --> 00:04:48,570
+integrationالآن احنا خدنا في تفاوض الـ B اللي هو
+
+56
+00:04:48,570 --> 00:04:53,070
+الـ techniques of integrations لأن أحيانا بعض
+
+57
+00:04:53,070 --> 00:04:57,790
+التكاملات بتكون non elementary فبضطر إن أنا مش
+
+58
+00:04:57,790 --> 00:05:03,510
+قادر أوجد لها exact اللي هو solution أو exact
+
+59
+00:05:03,510 --> 00:05:09,110
+value فبضطر إن أروح باتجاه ال approximate of
+
+60
+00:05:09,110 --> 00:05:14,610
+integration أو approximation للintegrationبكون هيك
+
+61
+00:05:14,610 --> 00:05:21,290
+احنا نهينا chapter 7 وحنبدأ في chapter 8 اللي هو
+
+62
+00:05:21,290 --> 00:05:24,110
+هناخد فيه sectionين ال section الأول اللي هو
+
+63
+00:05:24,110 --> 00:05:28,790
+pointwise pointwise and uniform convergence
+
+64
+00:05:29,990 --> 00:05:33,150
+ومتوقعين طبعا الأسبوع ياخد منها وثاني الـ
+
+65
+00:05:33,150 --> 00:05:37,670
+interchange of limits يعني هناخد نوعين من ال
+
+66
+00:05:37,670 --> 00:05:39,490
+convergence هنا حاجة اسمها ال pointwise
+
+67
+00:05:39,490 --> 00:05:42,830
+convergence وحاجة اسمها ال uniform convergence
+
+68
+00:05:42,830 --> 00:05:49,150
+وحنقوله في حينه إيش معناته اللي هو كل نوع وما
+
+69
+00:05:49,150 --> 00:05:55,680
+علاقته بالنوع الآخروأيضًا ما تأثير الـ Pointwise
+
+70
+00:05:55,680 --> 00:06:00,620
+أو الـ Uniform Convergence على إدخال اللي هو الـ
+
+71
+00:06:00,620 --> 00:06:04,800
+Limit حتى للـ Integration أو اللي هو اللي هو الـ
+
+72
+00:06:04,800 --> 00:06:06,480
+Limit للـ Integration يساوي الـ Integration للـ
+
+73
+00:06:06,480 --> 00:06:11,120
+Limit هنعمل اللي هو discussion لهذا الأمر ونشوف
+
+74
+00:06:11,120 --> 00:06:14,840
+وين اللي هو متى بندخل الـ Limit ومتى مابنقدرش
+
+75
+00:06:14,840 --> 00:06:23,110
+ندخلهاأو ايش بالزمنة من ظروف للحصول على هذه
+
+76
+00:06:23,110 --> 00:06:26,710
+الخاصية حيكون في حينه ان شاء الله بكون هيك انه
+
+77
+00:06:26,710 --> 00:06:31,770
+احنا انهينا الجزء الثاني من المادة وحيكون فيه عندى
+
+78
+00:06:31,770 --> 00:06:36,540
+اللي هو ال secondاللي هو our exam بعد هيك هيجينا
+
+79
+00:06:36,540 --> 00:06:41,860
+الجزء الثالث من المادة الجزء الثالث يمكن اللي هو
+
+80
+00:06:41,860 --> 00:06:48,900
+الأول مرة انه احنا بنتحدث عن هذا الجزء اللي هو في
+
+81
+00:06:48,900 --> 00:06:55,780
+العنوانين الأول والثاني وانا حبيت انه يكون الطالب
+
+82
+00:06:56,980 --> 00:07:01,320
+في صورة إنه كل شغله طبعا كل شغلنا سواء فكرة القلص
+
+83
+00:07:01,320 --> 00:07:04,920
+ألف أو با أو جيم أو حتى ال complex أو حتى ال
+
+84
+00:07:04,920 --> 00:07:07,380
+differential equations اللي بنشتغل فيها ال
+
+85
+00:07:07,380 --> 00:07:11,440
+ordinary أو اللي هو ال partial وحتى في الإحصاء أو
+
+86
+00:07:11,440 --> 00:07:17,900
+الإحتمالات كله واضح إنه إحنا بنشتغل على R أو على C
+
+87
+00:07:17,900 --> 00:07:25,160
+واللي بنشتغل على R أو على C بلزمه اللي هو زي ما
+
+88
+00:07:25,160 --> 00:07:28,840
+بتعرفوا topologyالآن بدي أشوف أنا هذا الـ topology
+
+89
+00:07:28,840 --> 00:07:34,840
+وين موقعه بالظبط في اللي هو الـ topological spaces
+
+90
+00:07:34,840 --> 00:07:38,520
+الـ metric spaces الـ normed spaces الـ Herbart
+
+91
+00:07:38,520 --> 00:07:44,520
+spaces باختصار في عندنا احنا الشيء اللي .. اللي ..
+
+92
+00:07:44,520 --> 00:07:45,820
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+93
+00:07:45,820 --> 00:07:47,020
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+94
+00:07:47,020 --> 00:07:47,180
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+95
+00:07:47,180 --> 00:07:47,580
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+96
+00:07:47,580 --> 00:07:48,260
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+97
+00:07:48,260 --> 00:07:48,280
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+98
+00:07:48,280 --> 00:07:48,320
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+99
+00:07:48,320 --> 00:07:56,260
+اللي .. اللي .. اللي .. اللي
+
+100
+00:07:56,260 --> 00:08:00,450
+.. اللفي داخل الـ topological spaces هنحكي الـ
+
+101
+00:08:00,450 --> 00:08:05,740
+metric spacesالمقصود أن أي metric space هيكون
+
+102
+00:08:05,740 --> 00:08:09,300
+topological space يعني هيولد topology داخل ال
+
+103
+00:08:09,300 --> 00:08:13,360
+metric space هيكون فيه عنده normed space و ال
+
+104
+00:08:13,360 --> 00:08:16,940
+normed space هيكون اللي هو any normed space اللي
+
+105
+00:08:16,940 --> 00:08:22,760
+هو بولد metric و ال metric نفسه بولد topology لأن
+
+106
+00:08:22,760 --> 00:08:25,520
+ال normed spaces هيكون فيه عنده topology اللي هو
+
+107
+00:08:25,520 --> 00:08:28,840
+induced by this normوفي داخل الـ Normed Spaces
+
+108
+00:08:28,840 --> 00:08:32,940
+حيكون فيه عند الـ Hilbert Spaces طبعا لو بين
+
+109
+00:08:32,940 --> 00:08:37,920
+الجهتين فيه اللي هو issue topological مش metric و
+
+110
+00:08:37,920 --> 00:08:40,780
+issue metric مش normed و issue normed مش Hilbert
+
+111
+00:08:41,200 --> 00:08:46,560
+وإلى آخره ومن ثم هنقعد نشوف حالنا وين احنا جاعدين
+
+112
+00:08:46,560 --> 00:08:49,200
+مع ال R اللي هنشتغل عليها اللي بنشتغل عليها كل
+
+113
+00:08:49,200 --> 00:08:53,720
+شغلنا هنا على ال R اللي هو ال real numbers ومعاه
+
+114
+00:08:53,720 --> 00:08:56,180
+فيه topology اللي هو اللي كنتوا تسموه في ال
+
+115
+00:08:56,180 --> 00:08:59,440
+topology اللي بيسميه usual topology ال usual
+
+116
+00:08:59,440 --> 00:09:02,590
+topologyالـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+117
+00:09:02,590 --> 00:09:02,850
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+118
+00:09:02,850 --> 00:09:03,490
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+119
+00:09:03,490 --> 00:09:03,730
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+120
+00:09:03,730 --> 00:09:05,910
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+121
+00:09:05,910 --> 00:09:12,950
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+122
+00:09:12,950 --> 00:09:15,070
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+123
+00:09:15,070 --> 00:09:15,490
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+124
+00:09:15,490 --> 00:09:15,650
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+125
+00:09:15,650 --> 00:09:19,710
+الـ الـ الـ
+
+126
+00:09:19,710 --> 00:09:24,760
+الـ الـ الـاللي هو و normed space و طبيعي metrical
+
+127
+00:09:24,760 --> 00:09:28,500
+space و topological space فبكون عرفنا موقعنا
+
+128
+00:09:28,500 --> 00:09:32,940
+بالظبط و هنجيل الكلام هذا ان شاء الله بالتفصيل أي
+
+129
+00:09:32,940 --> 00:09:40,530
+سؤال؟أحكي اه لسه جينا ..الان احنا بعد ما نكون
+
+130
+00:09:40,530 --> 00:09:45,710
+خلصنا اللي هي الجزء هذا طبعا الجزء هذا و الجزء هذا
+
+131
+00:09:45,710 --> 00:09:52,510
+هيكون في عندى two references هتروح على اللي هو ال
+
+132
+00:09:52,510 --> 00:09:55,470
+reference two و three اللي هنحكي عنها من بعد شوية
+
+133
+00:09:56,110 --> 00:10:01,270
+الأن هنحكي في النهاية عن ال infinite series بما
+
+134
+00:10:01,270 --> 00:10:05,890
+نستطيع من خلال وقت هذا ال course هذه تقريبا اللي
+
+135
+00:10:05,890 --> 00:10:13,590
+هو وصف المساق أو وصف ما نريد أن ندرس في هذا المساق
+
+136
+00:10:13,590 --> 00:10:18,210
+ال normed spaces و ال topological spaces و ال
+
+137
+00:10:18,210 --> 00:10:21,030
+metric spaces و ال Hilbert spaces فيه two
+
+138
+00:10:21,030 --> 00:10:24,150
+references و في عندي slice كاملات اللي موجودة
+
+139
+00:10:24,150 --> 00:10:28,590
+تلخيص كامل للمادة موجودةعندي topology without
+
+140
+00:10:28,590 --> 00:10:34,570
+tiers اللي هو الكتاب اللي احنا عادة بندرسه في اللي
+
+141
+00:10:34,570 --> 00:10:40,530
+هو علم في الجامعة وموجود يعني وهيكون المتطلب منه
+
+142
+00:10:40,530 --> 00:10:45,850
+لهذا ال course موجود slides الآن الجزء اللي بعده
+
+143
+00:10:46,580 --> 00:10:49,200
+اللي هو introductory functional analysis with
+
+144
+00:10:49,200 --> 00:10:55,240
+applications ل-grazing هذا الجزء هيتعلق، هناخد منه
+
+145
+00:10:55,240 --> 00:11:00,220
+اللي هو ما يتعلق بال normed spaces and اللي هو
+
+146
+00:11:00,220 --> 00:11:10,330
+Hilbert spacesالأن هذه تقريبًا اللي هو الوصف
+
+147
+00:11:10,330 --> 00:11:14,230
+بالإضافة للمراجع اللي موجودة بالإضافة لل textbook
+
+148
+00:11:14,230 --> 00:11:19,150
+الأصلي وأي اللي هو كتاب real analysis برضه بيكون
+
+149
+00:11:19,150 --> 00:11:26,110
+مفيد لهذه المادة طريقة التقييم زي ما اتعودنا هيكون
+
+150
+00:11:26,110 --> 00:11:33,260
+في عنده اللي هو three exams two hour examsand one
+
+151
+00:11:33,260 --> 00:11:38,020
+final exam the two بالterm exams اللي هنا خمسين في
+
+152
+00:11:38,020 --> 00:11:43,100
+المية ال final exam برضه خمسين في المية طبعا و
+
+153
+00:11:43,100 --> 00:11:47,260
+طريقة الحساب يعني ان شاء الله بنتفق عليها غالبا
+
+154
+00:11:47,260 --> 00:11:50,940
+هناخد أحسن واحد من الامتحانين و نحسب عليه تلاتين و
+
+155
+00:11:50,940 --> 00:11:55,340
+الثاني هنحسب عليه عشرين و ال final بكون خمسين أي
+
+156
+00:11:55,340 --> 00:12:01,090
+سؤال أو أي تعليقنبدأ الآن بـ Chapter 6 اللي هو
+
+157
+00:12:01,090 --> 00:12:05,150
+بداية المادة هنحكي عن الـ differentiation أو
+
+158
+00:12:05,150 --> 00:12:12,010
+الاشتقاق طبعاً الاشتقاق مر علينا ومفهومه مر علينا
+
+159
+00:12:12,010 --> 00:12:17,910
+نذكركم بمعنى الاشتقاق الآن احنا هناخد اللي هو الـ
+
+160
+00:12:17,910 --> 00:12:23,650
+function F نفترض F عبارة عن دالة من I لعند R حيث I
+
+161
+00:12:23,650 --> 00:12:27,530
+is an interval اللي بنحكي عنها I is an interval
+
+162
+00:12:28,790 --> 00:12:38,650
+وبناخد C element in I بنقول أن الـ F prime عند C
+
+163
+00:12:38,650 --> 00:12:45,330
+exist أو بمعنى آخر المشتقة الأولى للدالة F موجودة
+
+164
+00:12:45,330 --> 00:12:51,020
+إذا كان F prime of C اللي بنسميه F prime of Cإذا
+
+165
+00:12:51,020 --> 00:12:57,220
+كان ما يلي موجود اللي هو limit f of x ناقص f of c
+
+166
+00:12:57,220 --> 00:13:02,880
+على x minus c لما x تروح للـ c exist إذا كان exist
+
+167
+00:13:02,880 --> 00:13:08,420
+و بساوء قيمة سمناها مثلا ال بنسمي ال هذه هي ال
+
+168
+00:13:08,420 --> 00:13:12,740
+derivative لمين للف و بنرمز لها للف prime of إيش
+
+169
+00:13:12,740 --> 00:13:17,080
+of c طبعا ال X هذه أكيد ال X من وين هنكون ماخدينها
+
+170
+00:13:17,080 --> 00:13:24,060
+برضه من I و ال X أشمالهالا تساوي C لأن X تذهب أو
+
+171
+00:13:24,060 --> 00:13:29,920
+تقول إلى C وليس تساوي C إذن ممكن نعبر عن هذا
+
+172
+00:13:29,920 --> 00:13:40,520
+الكلام بطريقة أخرى نقول F has a derivative at
+
+173
+00:13:40,520 --> 00:13:48,820
+C element in I if for every epsilon أكبر من 0there
+
+174
+00:13:48,820 --> 00:13:53,040
+exists delta أكبر من سفر has a derivative مثلا
+
+175
+00:13:53,040 --> 00:13:58,220
+نسميها L has a derivative L at C limited on I if
+
+176
+00:13:58,220 --> 00:14:00,440
+for every Y أكبر من سفر there exists delta أكبر من
+
+177
+00:14:00,440 --> 00:14:09,140
+سفر such that X minus C أكبر من سفر وأصغر من Delta
+
+178
+00:14:09,140 --> 00:14:17,000
+implies اللي هو مينأف of X ناقص أف of C على X
+
+179
+00:14:17,000 --> 00:14:24,280
+minus C ناقص L أصغر من مين من Y هذا طبعا في مجموعه
+
+180
+00:14:24,280 --> 00:14:28,600
+معناه إنه limit أف of X ناقص أف of C على X minus C
+
+181
+00:14:28,600 --> 00:14:31,760
+لما X تروح للـC بساوي اللي هي الـL اللي سميناها F
+
+182
+00:14:31,760 --> 00:14:37,910
+prime of C if such limit existsWe say that F has a
+
+183
+00:14:37,910 --> 00:14:44,210
+derivative which is denoted by F prime of C هذا
+
+184
+00:14:44,210 --> 00:14:49,990
+اللي هو معناته اللي هو الـ F لها مشتقة أولى عند
+
+185
+00:14:49,990 --> 00:14:59,610
+النقطة C الآن، مدام عندي الـ function F عندي من I
+
+186
+00:14:59,610 --> 00:15:00,730
+لعند R
+
+187
+00:15:03,790 --> 00:15:11,090
+والدالة و F' موجودة عند C اللي من وين جاية؟ من I
+
+188
+00:15:11,090 --> 00:15:18,550
+فطبيعي domain الـ F' هيكون جزء من مين؟ من الـ I
+
+189
+00:15:18,550 --> 00:15:21,670
+فهذه
+
+190
+00:15:21,670 --> 00:15:25,470
+الملاحظة الأولى إذا كانت F من I عند R دين domain
+
+191
+00:15:25,470 --> 00:15:33,130
+الـ F' subset من Iالأن نيجي للنظرية المشهورة اللي
+
+192
+00:15:33,130 --> 00:15:41,670
+بتعرفوها و اللي مرت علينا في أكثر من .. من مساق
+
+193
+00:15:41,670 --> 00:15:48,810
+اللي هي إنه إذا كانت الدالة قابلة للاشتقاق إذن
+
+194
+00:15:48,810 --> 00:15:54,810
+أكيد إشمالها هي متصلة الآن هنحكي بالظبط
+
+195
+00:15:58,230 --> 00:16:06,590
+قابلية الاشتقاق عند نقطة تعني أن الدالة متصلة عند
+
+196
+00:16:06,590 --> 00:16:22,350
+هذه النقطة نشوف theorem if F من I لعند R is
+
+197
+00:16:22,350 --> 00:16:34,170
+differentiable atC element in I then it must be
+
+198
+00:16:34,170 --> 00:16:41,230
+continuous at this C لو كانت الدالة قبل الاشتقاق
+
+199
+00:16:41,230 --> 00:16:46,030
+عند نقطة C أكيد هتكون متصلة عند هذه النقطة
+
+200
+00:16:46,030 --> 00:16:54,070
+والبرهان برضه برهان بسيط ومر عليكم قبل هيك
+
+201
+00:17:00,530 --> 00:17:05,350
+نذكركم بس، شو معناة الـ Dialogue هتكون متصل عن الـ
+
+202
+00:17:05,350 --> 00:17:15,130
+C؟ بيكون دي limit F of X لما X تروح للـ C بيساوي F
+
+203
+00:17:15,130 --> 00:17:18,790
+of C إذا أثبتنا هذا الكلام، بنكون خلصنا و أثبتنا
+
+204
+00:17:18,790 --> 00:17:27,950
+أن الدالة إيش مالها؟ متصلة إذن أول شيء، since F is
+
+205
+00:17:27,950 --> 00:17:34,220
+differentiableat c .. حسب التعريف اللي جابناه قبل
+
+206
+00:17:34,220 --> 00:17:43,040
+قليل limit f of x ناقص f of c على x minus c لما x
+
+207
+00:17:43,040 --> 00:17:49,490
+تروح للـ c اللي هو existence بساوة 100f prime of c
+
+208
+00:17:49,490 --> 00:17:54,450
+exist لأنه احنا مفترضين انها اش مالها موجودة طبعا
+
+209
+00:17:54,450 --> 00:17:58,850
+ال X احنا بنقول الاش مالها لا تساوي ال C و ال X
+
+210
+00:17:58,850 --> 00:18:05,290
+موجودة وين في ال interval I طيب، الان بدنا نثبت ان
+
+211
+00:18:05,290 --> 00:18:13,050
+limit f of x يساوي f of c شوف، سهل، عند f of x- f
+
+212
+00:18:13,050 --> 00:18:17,170
+of c على x minus c أكيد هيستخدمها و لا ليش كانت
+
+213
+00:18:17,170 --> 00:18:20,030
+المعطيلة الـ function is differentiable الان لو
+
+214
+00:18:20,030 --> 00:18:29,230
+ضربناها الان for x element in I و x لا تساوي c f
+
+215
+00:18:29,230 --> 00:18:31,950
+of x نقص f of c على x minus c لو ضربناها في x
+
+216
+00:18:31,950 --> 00:18:37,550
+minus cهيصير عندي F of X minus F of C طب لو ضفنا
+
+217
+00:18:37,550 --> 00:18:42,510
+لها الـ F of C ثابت الـ F of C هذا المقدار كمقدار
+
+218
+00:18:42,510 --> 00:18:48,150
+إيش هيساوي؟ الـ F of X الآن أنا ضامن إن الـ limit
+
+219
+00:18:48,150 --> 00:18:52,700
+هنا موجودةلأن أشملها F براها، دي عبارة عن F براهم
+
+220
+00:18:52,700 --> 00:18:56,220
+of C which exists وهدي ال limit موجودة، بولنوميا
+
+221
+00:18:56,220 --> 00:19:00,200
+العادية و X بتروح للـC موجودة و ال F of C ثابت،
+
+222
+00:19:00,200 --> 00:19:03,540
+إذن كل ال limit موجودة للجهتين، إذا بقدر أوزع ال
+
+223
+00:19:03,540 --> 00:19:09,940
+limit على الجهتين، بيصير عندي، إذا limit F of X
+
+224
+00:19:09,940 --> 00:19:18,510
+لما X تروح للـC بساوي limitF of X نقص F of C على X
+
+225
+00:19:18,510 --> 00:19:24,790
+minus C لما X تروح للـ C في limit X minus C لما X
+
+226
+00:19:24,790 --> 00:19:30,830
+تروح للـ C زائد F of C لأنه ثابت ال limit هو نفسه
+
+227
+00:19:30,830 --> 00:19:37,930
+ويساوي الآن يا جماعة عندي هذا ال limit هو عبارة عن
+
+228
+00:19:37,930 --> 00:19:42,310
+مين عبارة عن عدد مضمون أنه موجود اسمه F prime of C
+
+229
+00:19:43,220 --> 00:19:47,120
+فى مضروب هذا ال limit لما X تروح لـ C هذا المقدار
+
+230
+00:19:47,120 --> 00:19:54,000
+عشان بتكون سفر بولنوميا سهلة Linear زائد F of C في
+
+231
+00:19:54,000 --> 00:19:57,680
+الآخر إيش حيساوي إذا صارت limit F of X لما X تروح
+
+232
+00:19:57,680 --> 00:20:03,720
+لـ C بساوي F of C وهذا يعني hence أو therefore F
+
+233
+00:20:03,720 --> 00:20:11,740
+is continuous at C أي
+
+234
+00:20:11,740 --> 00:20:12,240
+سؤال
+
+235
+00:20:19,280 --> 00:20:23,920
+طبعا ال .. برضه اللي هنحكي فيه كنا على طول في
+
+236
+00:20:23,920 --> 00:20:26,220
+الcalculation نقول إذا كانت F is differentiable or
+
+237
+00:20:26,220 --> 00:20:30,140
+continuous كنا نسأل طب لو كانت continuous ليس شرط
+
+238
+00:20:30,140 --> 00:20:34,060
+أن تكون differentiable والمثال المشهود والمعروف
+
+239
+00:20:34,060 --> 00:20:37,140
+اللي هو عبارة عن ال corners اللي هي عندنا هنا
+
+240
+00:20:37,140 --> 00:20:41,440
+عبارة عن القيمة المطلقة ال absolute value عند ال
+
+241
+00:20:41,440 --> 00:20:44,960
+corner ال function is continuous لكن مش
+
+242
+00:20:44,960 --> 00:20:46,320
+differentiable
+
+243
+00:20:56,540 --> 00:21:03,380
+الأن الـ converse of
+
+244
+00:21:03,380 --> 00:21:18,220
+the above theorem need not be true in general for
+
+245
+00:21:18,220 --> 00:21:27,090
+example f of x سوى الـ absolute value للـ xis
+
+246
+00:21:27,090 --> 00:21:33,230
+continuous everywhere طبعا مضمن ان السفر is
+
+247
+00:21:33,230 --> 00:21:43,270
+continuous at zero but it is not differentiable at
+
+248
+00:21:43,270 --> 00:21:47,530
+zero طبعا ان انت عارفين اسمها عبارة عن corner
+
+249
+00:21:47,530 --> 00:21:51,330
+pointالـ corner point هنا is not differentiable
+
+250
+00:21:51,330 --> 00:21:54,950
+لأنه ميل المماس من اليمين وميل المماس من اليسار
+
+251
+00:21:54,950 --> 00:22:03,370
+حتى جهة المختلفات طيب نشوف هذا الكلام نبرهنه عندي
+
+252
+00:22:03,370 --> 00:22:11,280
+ال continuity سهلة limit f of xلما X تروح للصفر
+
+253
+00:22:11,280 --> 00:22:15,120
+بساوي limit لـ absolute value X لما X تروح للصفر
+
+254
+00:22:15,120 --> 00:22:19,780
+هو يساوي إيه شمالها؟ Zero واضح إن ال limit لهذه أو
+
+255
+00:22:19,780 --> 00:22:23,060
+limit لهذه كلها وين بروح وين بصبن لما X تروح للـC
+
+256
+00:22:23,060 --> 00:22:27,820
+من اليمين أو من اليسار بصبن وين؟ عند الصفر الآن
+
+257
+00:22:27,820 --> 00:22:32,720
+بدنا نشوف كيف إنها is not differentiable and zero
+
+258
+00:22:32,720 --> 00:22:41,320
+طيب خد الآنحسب لـ limit f of x نقص f of 0 على x
+
+259
+00:22:41,320 --> 00:22:45,000
+minus 0 لما x تروح للصفر بدا أثبت لك إن هذا الـ
+
+260
+00:22:45,000 --> 00:22:48,200
+limit does not exist مذام does not exist إذا الـ
+
+261
+00:22:48,200 --> 00:22:54,480
+function مالها is not differentiable at 0 بوي ساوى
+
+262
+00:22:54,480 --> 00:22:58,920
+الآن limit الـ f of x اللي هو absolute value لـ x
+
+263
+00:22:58,920 --> 00:23:05,980
+f of 0، 0على الـ x نقص صفر لما x تروح للصفر y ساول
+
+264
+00:23:05,980 --> 00:23:10,640
+limit absolute value of x على الـ x لما x تروح
+
+265
+00:23:10,640 --> 00:23:16,380
+للصفر الآل عندي عشان تكون ال limit هذه exist لأن
+
+266
+00:23:16,380 --> 00:23:19,180
+في absolute value فوق فوق فمخوفاني يعني لذا
+
+267
+00:23:19,180 --> 00:23:21,980
+بتروحلها من اليمين و بيروحلها من وين؟ من اليسار
+
+268
+00:23:21,980 --> 00:23:29,850
+الآل لما أقول limitabsolute value ل X على X لما X
+
+269
+00:23:29,850 --> 00:23:35,730
+تروح للصفر من وين من اليمين يعني قيم X موجبة مدام
+
+270
+00:23:35,730 --> 00:23:41,490
+موجبة إذا قيمة ال absolute value هي X وهنا على X
+
+271
+00:23:41,490 --> 00:23:46,570
+لما X تروح للصفر من اليمين ويساوي جداش واحد but
+
+272
+00:23:46,570 --> 00:23:56,900
+but limit limit ال absolute value ل Xعلى x لما x
+
+273
+00:23:56,900 --> 00:24:00,000
+تروح للصفر من وين؟ من اليسار قيمة الـ absolute
+
+274
+00:24:00,000 --> 00:24:04,940
+value لل x للقيم السالبة سلبها مظبوط و يساوي limit
+
+275
+00:24:04,940 --> 00:24:10,540
+سالب x على x لما x تروح للصفر من اليسار و يساوي
+
+276
+00:24:10,540 --> 00:24:14,760
+سالب و أكيد الواحد مش هو السالب واحد إذا ال limit
+
+277
+00:24:14,760 --> 00:24:17,780
+من اليمين مستويش ال limit من اليسار إذا صار عندي
+
+278
+00:24:17,780 --> 00:24:22,080
+هذه ال function هذه ال limit إجمالها does not
+
+279
+00:24:22,080 --> 00:24:27,580
+existإذا صارت عندي الـ function f of x بساعته الـ
+
+280
+00:24:27,580 --> 00:24:33,840
+weight value of x is continuous is continuous at
+
+281
+00:24:33,840 --> 00:24:40,700
+zero but is not differentiable at zero أي سؤال
+
+282
+00:24:40,700 --> 00:24:51,450
+الآن لو كررنا أمورنا لو قلنا ناخد دالةمثال ثاني لو
+
+283
+00:24:51,450 --> 00:24:54,890
+جينا أخدنا نقول لأ خد ال absolute value ل X minus
+
+284
+00:24:54,890 --> 00:24:55,610
+C1
+
+285
+00:24:59,510 --> 00:25:03,070
+هذا واضح إنه عند الـ c1 مالها is not
+
+286
+00:25:03,070 --> 00:25:07,070
+differentiable لكن continuous لو ضفنا لها كمان
+
+287
+00:25:07,070 --> 00:25:12,470
+absolute value x minus c2 برضه هتكون عند الـ c2 is
+
+288
+00:25:12,470 --> 00:25:16,610
+not differentiable بقى continuous لو زدنا كمان
+
+289
+00:25:16,610 --> 00:25:21,790
+بنفس الأسلوب لعند ما أصل ل x minus cn اللي هي هذه
+
+290
+00:25:21,790 --> 00:25:27,530
+الـ function صارت continuous everywherebut it is
+
+291
+00:25:27,530 --> 00:25:33,370
+not differentiable عند c1 و c2 و c3 لعند مين لعند
+
+292
+00:25:33,370 --> 00:25:40,150
+cn وطبعا وبرهانها سهل بنفس الأسلوب هنا عند c1 عند
+
+293
+00:25:40,150 --> 00:25:44,730
+c2 عند c3 عند cn بنفس الأسلوب اللي قبل بشوية الآن
+
+294
+00:25:44,730 --> 00:25:53,590
+مش هيك في دالة أغرب من هيك دالة بتقولك أنه أنا
+
+295
+00:25:54,690 --> 00:26:01,650
+عبارة عن continuous function وين ما كان لكن is not
+
+296
+00:26:01,650 --> 00:26:06,450
+differentiable anywhere يعني تخيل إنه .. طبعا
+
+297
+00:26:06,450 --> 00:26:09,050
+تخيلها يمكن صعبة تخيل إنه هذا عبارة عن كلها
+
+298
+00:26:09,050 --> 00:26:13,950
+corners دالة كلها corners فش منطقة أو فش نقطة
+
+299
+00:26:13,950 --> 00:26:18,070
+بتكون عندها الدالة إيه شمالها is differentiable
+
+300
+00:26:18,070 --> 00:26:21,550
+هذه الدالة اللي هي f of x
+
+301
+00:26:24,880 --> 00:26:33,180
+بتساوي summation 1 على 2 أُس N في cosine تلاتة أُس
+
+302
+00:26:33,180 --> 00:26:38,800
+N X N من صفر إلى مالة نهاية هذه للمعرفة بس لأنه
+
+303
+00:26:38,800 --> 00:26:43,300
+مرهانها خارج النطاق اللي بنحكي فيه F of X بساوي
+
+304
+00:26:43,300 --> 00:26:48,180
+summation 1 على 2 أُس N cosine تلاتة أُس N في X
+
+305
+00:26:48,180 --> 00:26:52,660
+هذه is continuous everywhere but is not
+
+306
+00:26:52,660 --> 00:26:54,420
+differentiable anywhere
+
+307
+00:26:59,710 --> 00:27:04,890
+هذه علاقة الإتصال بالاشتقام
+
+308
+00:27:04,890 --> 00:27:09,610
+الـ relation between continuity and
+
+309
+00:27:09,610 --> 00:27:15,710
+differentiability one implies the other but the
+
+310
+00:27:15,710 --> 00:27:21,110
+other need not implies the first I mean by the
+
+311
+00:27:21,110 --> 00:27:25,890
+first differentiability and the other is
+
+312
+00:27:25,890 --> 00:27:30,750
+continuityطيب صلى على النبي عليه الصلاة والسلام
+
+313
+00:27:30,750 --> 00:27:36,370
+يمكن ال .. ال .. ال .. في البداية كان نحكي عن ..
+
+314
+00:27:36,370 --> 00:27:41,870
+بس ملاحظة ضايقة بسيطة يعني اللي بنحكيها في ال
+
+315
+00:27:41,870 --> 00:27:45,710
+calculus دائما بس هتذكركم فيها اللي هي المعنى
+
+316
+00:27:45,710 --> 00:27:50,890
+الهندسي لل differentiability الآن لما نقول إن
+
+317
+00:27:50,890 --> 00:27:59,250
+الدالة في إلها مشتقة عند الـCالآن لو جيت أخدت ..
+
+318
+00:27:59,250 --> 00:28:03,150
+روحت للـ C من اليمين أو من اليسار و بدي أجيلها من
+
+319
+00:28:03,150 --> 00:28:07,990
+اليمين هذه اللي هي النقطة X نقطة X عاملا بتروح على
+
+320
+00:28:07,990 --> 00:28:14,530
+اللي هي الـ C هذا اللي هو القاطع اللي بين الـ X
+
+321
+00:28:14,530 --> 00:28:20,550
+والـ C هذه من hand ل hand هذه المنطقة عبارة عن F
+
+322
+00:28:20,550 --> 00:28:26,660
+of X ناقص F of C صح ولا لا؟وهذه من هنا لها عبارة
+
+323
+00:28:26,660 --> 00:28:32,900
+عن x minus c ميل القاطع هذا اللي هو عبارة عن f of
+
+324
+00:28:32,900 --> 00:28:40,990
+x ناقص f of c على x minus c هذا ميل القاطعالـ
+
+325
+00:28:40,990 --> 00:28:45,590
+limit له نهاية ميل القاطع، نهاية ميل القاطع لما X
+
+326
+00:28:45,590 --> 00:28:49,870
+تروح للـC هذا القاطع لما X تروح للـC بتجرب، بتجرب
+
+327
+00:28:49,870 --> 00:28:54,810
+لما نسير في النهاية عبارة عن إيش؟ عن مماس، بيصير
+
+328
+00:28:54,810 --> 00:28:59,870
+هو عبارة عن اللي هي مين؟ F prime of C أو ميل
+
+329
+00:28:59,870 --> 00:29:06,630
+المماس عنده نقطة مين؟ عنده نقطة Cطبعاً أخدت أنا من
+
+330
+00:29:06,630 --> 00:29:10,410
+اليمين ومن اليسار بنفس الأسلوب يعني بيصير طبعاً
+
+331
+00:29:10,410 --> 00:29:14,990
+على اعتبار أنه من اليمين ومن اليسار متساوين فبيكون
+
+332
+00:29:14,990 --> 00:29:19,510
+اللي هو الـ F prime موجودة وميل القاطع نهايته في
+
+333
+00:29:19,510 --> 00:29:27,110
+نهاية بساوة ميل المماسع ده ده المقطع أي سؤال؟ نيجي
+
+334
+00:29:27,110 --> 00:29:32,670
+الآن للقوانين برضه قوانين احنا أخدناها في ال
+
+335
+00:29:32,670 --> 00:29:40,090
+calculusالنظرية بتجاوب على أنه لو كان في عندي
+
+336
+00:29:40,090 --> 00:29:47,230
+دالتين مشتقته الموجودة هيكون مجموح .. مجموح ..
+
+337
+00:29:47,230 --> 00:29:53,250
+مجموح مشتقته موجودة أو حاصل ضربه المشتقته الموجودة
+
+338
+00:29:53,250 --> 00:29:56,650
+وحاصل قسمته المشتقته الموجودة provided that أن
+
+339
+00:29:56,650 --> 00:30:01,390
+اللي هو اللي في المقام قيمة الـ الـ G عنده نقطة لا
+
+340
+00:30:01,390 --> 00:30:11,470
+يساوي 0وأيضًا الثابت في الدالة برضه مشتقته موجودة
+
+341
+00:30:11,470 --> 00:30:16,030
+نشوف الكلام اللي بحكيه بالتفصيل عبر النظرية اللي
+
+342
+00:30:16,030 --> 00:30:22,870
+أمامنا ونبرهن النظرية اللي عندنا let I be subset
+
+343
+00:30:22,870 --> 00:30:26,850
+من R بيكون interval يعني ماخد I عبارة عن interval
+
+344
+00:30:26,850 --> 00:30:33,680
+وماخد C element of Iومفترض إن F من I لR وG من I لR
+
+345
+00:30:33,680 --> 00:30:38,100
+التنتين قابلات للاشتقاق عند نقطة مين C they are
+
+346
+00:30:38,100 --> 00:30:43,440
+differentiable at C إذن the following holds إيش ال
+
+347
+00:30:43,440 --> 00:30:46,860
+following أول واحدة Alpha في F is differentiable
+
+348
+00:30:46,860 --> 00:30:51,510
+at Cيعني اللي هو الدالة الجديدة اللي هي اسمها
+
+349
+00:30:51,510 --> 00:30:56,330
+Alpha في F Alpha ثابت قابل الاشتقاق عن C وطبعا زي
+
+350
+00:30:56,330 --> 00:31:00,010
+ما انتوا عارفين الاشتقاق للAlpha في F prime of C
+
+351
+00:31:00,010 --> 00:31:07,500
+اللي هي عبارة عن Alpha في F prime of Cالآن F ذائد
+
+352
+00:31:07,500 --> 00:31:09,500
+G is differentiable at C ما زالت الـ F
+
+353
+00:31:09,500 --> 00:31:11,540
+differentiable و G differentiable مجموح الـ
+
+354
+00:31:11,540 --> 00:31:14,620
+differentiable و F ذائد G لكل prime of C بسوأ F
+
+355
+00:31:14,620 --> 00:31:18,500
+prime of C ذائد G prime of C أيضًا بالنسبة للضرب
+
+356
+00:31:18,500 --> 00:31:21,860
+القاعدة مشهورة أيضًا F في G هتكون differentiable
+
+357
+00:31:21,860 --> 00:31:26,180
+عند C و F في G prime هو عبارة عن F prime في G ذائد
+
+358
+00:31:26,180 --> 00:31:31,800
+G prime في Fالآن الشرط اللي بعده الـ D اللي هي
+
+359
+00:31:31,800 --> 00:31:36,600
+بتفترض أنه G of C إيش مالها مش سفر مش مسترطلك على
+
+360
+00:31:36,600 --> 00:31:41,200
+كل ال X سفر G of X بيسويش سفر مش مسترطلك بس أنه
+
+361
+00:31:41,200 --> 00:31:46,480
+الـ G عند الـ C مش سفر و بقولك إذا F على G prime
+
+362
+00:31:46,480 --> 00:31:52,020
+of C هتساوي F prime في G ناقص F في G prime على
+
+363
+00:31:52,020 --> 00:31:56,560
+اللي هو G تربيع عارفين إنه مقام تربيع؟و فوق اللي
+
+364
+00:31:56,560 --> 00:32:00,580
+هو مشتقة البصد في المقام نقص مشتقة المقام في البصد
+
+365
+00:32:00,580 --> 00:32:09,100
+واضحة؟ هذه الآن اللي هي theorem 6.1.3 اللي الآن
+
+366
+00:32:09,100 --> 00:32:18,760
+بدنا نبرهن اللي هو COD شوفوا خلينا الآن اللي ..
+
+367
+00:32:18,760 --> 00:32:25,550
+اللي بدنا نبرهنه لو كانت F و D is differentiableAt
+
+368
+00:32:25,550 --> 00:32:32,230
+C بيعطينا أن F في G is differentiable at C وخلّونا
+
+369
+00:32:32,230 --> 00:32:35,010
+نقول الـ differentiable لت اللي قلنا عنه F في G
+
+370
+00:32:35,010 --> 00:32:38,150
+الكل برايم هو عبارة عن F برايم في G زي G برايم في
+
+371
+00:32:38,150 --> 00:32:49,050
+F طيب، نشوف كيف، سميلي هذه let H بتساوي F في Gعشان
+
+372
+00:32:49,050 --> 00:32:52,630
+أثبت إن الـ F في G is differentiable بدي أثبتلك
+
+373
+00:32:52,630 --> 00:32:59,510
+إنه خد الآن X element in I و X لا تساوي C بدي
+
+374
+00:32:59,510 --> 00:33:08,010
+أثبتلك إنه limit الـ F of X الـ H of X ناقص
+
+375
+00:33:08,800 --> 00:33:13,980
+H of C على X minus C بدأ أثبت لك إنه limit لما X
+
+376
+00:33:13,980 --> 00:33:18,300
+تروح إلى C exist و بساوة الكميريا اللي أنا بحكي
+
+377
+00:33:18,300 --> 00:33:23,320
+عنها أو بدعيها، معايا؟ هذا في حالة وجوده، ممكن
+
+378
+00:33:23,320 --> 00:33:29,300
+خلّصناه، وجود limitه الآن عبّولي هذه، خلّيني أنعوض
+
+379
+00:33:29,300 --> 00:33:35,640
+هذه عبارة عن H of X عبارة عن F of X في G of X صح
+
+380
+00:33:35,640 --> 00:33:42,410
+ولا لأ؟عوضت مكان الأشقبت اللي أنا فرضها FG ناقص F
+
+381
+00:33:42,410 --> 00:33:48,770
+of C في G of C الكل مقسم عالمياً على X minus C
+
+382
+00:33:48,770 --> 00:33:54,380
+ويساويالآن أنا مفترض أنه f is differentiable و g
+
+383
+00:33:54,380 --> 00:33:58,300
+is differentiable يعني أصلا أنا متوقع أني بدي
+
+384
+00:33:58,300 --> 00:34:02,640
+أستخدم limit f of x ناقص f of c على x minus c يعني
+
+385
+00:34:02,640 --> 00:34:07,560
+بديها تظهر f of x ناقص f of c عشان تظهر بدي أضيف
+
+386
+00:34:07,560 --> 00:34:12,400
+term و أطرح term و ال term فيه f of x أو g of x و
+
+387
+00:34:12,400 --> 00:34:16,200
+التاني و التاني زيه بس واحد فيه c و واحد مافيش فيه
+
+388
+00:34:16,200 --> 00:34:23,180
+c إيش اللي بقصده؟ بقصده بقول f of xG of X ناقص F
+
+389
+00:34:23,180 --> 00:34:33,540
+of .. F of C G of X عارفين ليش؟ زائد اللي هو F of
+
+390
+00:34:33,540 --> 00:34:38,320
+C G of X اللي ضيفته بتضيفه أو اللي طرحته بتضيفه
+
+391
+00:34:38,320 --> 00:34:45,400
+ناقص F of C في G of C على X-C ويساوي ليش أعملك
+
+392
+00:34:45,400 --> 00:34:49,520
+هيك؟ عساس أني بدي أخد الـF أو الـG of X عام
+
+393
+00:34:49,520 --> 00:34:55,200
+المشترك بساوي G of X فيه و بدي أجزقه جزء هنا وجزء
+
+394
+00:34:55,200 --> 00:35:00,840
+هنا فيه اللي هو اللي بيظل عندي هنا مين هو F of X
+
+395
+00:35:00,840 --> 00:35:06,610
+تنقص F of C لكن كله مجسم على مين؟ X minus Cزائد
+
+396
+00:35:06,610 --> 00:35:10,470
+اللي بعدها بنفس الاسلوب باخد مين الآن عاملوا شترك
+
+397
+00:35:10,470 --> 00:35:17,330
+F of C في G of X ناقص G of C الكل مجسوم على X
+
+398
+00:35:17,330 --> 00:35:23,770
+minus C الآن أموري جاهزة زي ما بدي أشبك صوتنا نشوف
+
+399
+00:35:23,770 --> 00:35:29,670
+الآن هذه اللي هو بدي أخد limit للطرف هذا و limit
+
+400
+00:35:29,670 --> 00:35:33,510
+للطرف هذا طيب انت ضابط ان limit exist؟ أه ليش دوام
+
+401
+00:35:33,510 --> 00:35:37,910
+ال exist؟لأن ال limit لهذا هو عبارة عن f prime of
+
+402
+00:35:37,910 --> 00:35:41,570
+c لأنه معطني إياه طب ال limit لك g of x لما x تروح
+
+403
+00:35:41,570 --> 00:35:44,770
+لل c؟ أه موجودة لأن ال differential باليدا
+
+404
+00:35:44,770 --> 00:35:48,970
+المتصلة، الميدا المتصلة إذا ال limit g of x لما x
+
+405
+00:35:48,970 --> 00:35:53,790
+تروح لل c موجود ويسوى g of c كمانطب هنا هذه ثابتة
+
+406
+00:35:53,790 --> 00:35:57,450
+بتطلع وهذه اللي هي قيمة مشتقة الـ G إذا كل أموري
+
+407
+00:35:57,450 --> 00:36:00,670
+تمام التمام يعني أنا ماخد ال limit للطرفين باخد و
+
+408
+00:36:00,670 --> 00:36:06,940
+بوزع و أنا مرتاح إذا بدي أقول limit لهذهلما X تروح
+
+409
+00:36:06,940 --> 00:36:11,280
+للـC بيساوي limit لهذه لما X تروح للـC بيساوي
+
+410
+00:36:11,280 --> 00:36:14,740
+limit لهذه لما X تروح للـC بيساوي limit لهذه لما X
+
+411
+00:36:14,740 --> 00:36:18,380
+تروح للـC أو انت بعد ما اثبتت هذه بيساوي هذه بتاخد
+
+412
+00:36:18,380 --> 00:36:21,420
+limit الاتنين على جهة و بتقول limit هذه بيساوي
+
+413
+00:36:21,420 --> 00:36:29,480
+limit هذه و بتبدأ تكمل ويساوي limit
+
+414
+00:36:29,480 --> 00:36:40,590
+G of X لما X تروح للـCفي limit f of x نقص f of c
+
+415
+00:36:40,590 --> 00:36:46,810
+على x minus c لما x تروح للc زائد f of c لأنها
+
+416
+00:36:46,810 --> 00:36:53,480
+ثابت تطلع برا ال limit في limit g of xنقص G of C
+
+417
+00:36:53,480 --> 00:36:59,840
+على X minus C لما X تروح للـ C لأن الـ function is
+
+418
+00:36:59,840 --> 00:37:02,520
+differentiable الـ G is a continuous فده
+
+419
+00:37:02,520 --> 00:37:06,000
+continuous إذا إيه إيش اللي هو هذا بيساوي G of C
+
+420
+00:37:06,000 --> 00:37:11,420
+وهذا إيش بتساويالتعريف اللي هو الـ F prime of C
+
+421
+00:37:11,420 --> 00:37:17,300
+زائد هذه F of C في G prime of C إذا صار عندك الـ
+
+422
+00:37:17,300 --> 00:37:22,400
+derivative هذه اللي هي بتمثل مين؟ H prime of C
+
+423
+00:37:22,400 --> 00:37:28,640
+اللي هي مين؟ قولنا عنها FG prime of C لأنه أنا
+
+424
+00:37:28,640 --> 00:37:33,120
+بسمي الـ H هي مين؟ الـ FG صارت عندي الآن FG prime
+
+425
+00:37:33,120 --> 00:37:43,440
+of C exist and equal كذاأي سؤال؟
+
+426
+00:37:43,440 --> 00:37:51,780
+طيب، الآن احنا أثبتنا C، بدنا نثبت الآن زي ما
+
+427
+00:37:51,780 --> 00:37:57,960
+أثبتنا الضرب، بدنا نثبت القسمة القسمة مشابه، بس في
+
+428
+00:37:57,960 --> 00:38:05,480
+في البداية يعني أمر تحليلي بشرّعلي اللي هو
+
+429
+00:38:09,520 --> 00:38:13,900
+القسمة على g of x لإكسات معينة عشان أسلك طريقي
+
+430
+00:38:13,900 --> 00:38:19,500
+للوصول إلى انه اللي هو ال f على g لكل prime exist
+
+431
+00:38:19,500 --> 00:38:24,240
+تشوف ايش اللي بقوله اول حاجة ايش اللي بدأت بتواجه
+
+432
+00:38:24,240 --> 00:38:26,740
+معاه بدأت بتواجه انه لو كانت ال f و ال g
+
+433
+00:38:26,740 --> 00:38:31,760
+differentiable at c و g of c بس لا تساوي سفر
+
+434
+00:38:31,760 --> 00:38:38,940
+بيعطيني اللي f على g ال primeexist وزي ما قلنا إيش
+
+435
+00:38:38,940 --> 00:38:45,360
+كيف exist قيمته بالظبط شوفوا كيفه صلى على النبي
+
+436
+00:38:45,360 --> 00:38:50,400
+عليه الصلاة والسلام و proof أول حاجة بس خليني أعمل
+
+437
+00:38:50,400 --> 00:38:56,340
+fresh بحيث أن أقدر أستخدم اللي بديه اللي بلزمني
+
+438
+00:38:56,340 --> 00:39:07,320
+أول إشي بدي أذكركوا بس بنظرية في chapter 4النظرية
+
+439
+00:39:07,320 --> 00:39:11,780
+أربعة اتنين سبعة حاجة زي هيك المهم إيش بتقول بتقول
+
+440
+00:39:11,780 --> 00:39:17,680
+لو كانت ال limit لل F of X لما X بتروح لل C أكبر
+
+441
+00:39:17,680 --> 00:39:23,360
+من سفر أكبر من سفر إذا يوجد there exists an
+
+442
+00:39:23,360 --> 00:39:30,080
+epsilon of C يعني يوجد جوار بحيث أنه اللي هو F of
+
+443
+00:39:30,080 --> 00:39:38,110
+X بتكون أكبر من سفر لكل X في هذا الجوارأه يعني
+
+444
+00:39:38,110 --> 00:39:42,770
+بلاقي جوار حوالين الـ C قيمة الدالة إيه شمالها
+
+445
+00:39:42,770 --> 00:39:47,870
+تكون أكبر من 0 strictly لما كانت limit f of x لما
+
+446
+00:39:47,870 --> 00:39:52,570
+x تروح للـ C أكبر من 0 أكيد في جوار حواليها هتكون
+
+447
+00:39:52,570 --> 00:39:56,290
+ال limit إيه شماله أكبر من 0 وهذه النظرية انبرهنة
+
+448
+00:39:56,290 --> 00:40:02,390
+لو كان أصغر من 0 نفس الأشي بلاقي جوار بحيث أن f of
+
+449
+00:40:02,390 --> 00:40:06,410
+x أصغر من 100 من 0 في هذا الجوار واضح
+
+450
+00:40:09,850 --> 00:40:16,470
+الآن عندي الـ G differentiable عند الـ C مدام الـ
+
+451
+00:40:16,470 --> 00:40:21,050
+G differentiable عند الـ C إذا continuous عند الـ
+
+452
+00:40:21,050 --> 00:40:30,390
+C يعني بما أن G is differentiable at C then it is
+
+453
+00:40:30,390 --> 00:40:36,990
+continuous at C صح ولا لأ؟ إيش معناته هذا الكلام؟
+
+454
+00:40:36,990 --> 00:40:42,880
+معناته limitG of X لما X تروح للـ C بيساوي G of
+
+455
+00:40:42,880 --> 00:40:48,980
+إيش؟ of C الـ G of C معناته إيش ماله؟ هذا عدد لا
+
+456
+00:40:48,980 --> 00:40:53,400
+يساوي سفر هيك جاي اللي هو مدام لا يساوي سفر معناته
+
+457
+00:40:53,400 --> 00:40:58,960
+يا أكبر من سفر يا إيش؟ يا أصغر من سفر يعني بمعنى
+
+458
+00:40:58,960 --> 00:41:03,440
+آخر there exist حسب النظرية هذه there exist
+
+459
+00:41:03,440 --> 00:41:09,800
+neighborhoodجوار حوالين الـC سميه J هذا جوار لإيه؟
+
+460
+00:41:09,800 --> 00:41:14,060
+حوالين الـC there exist جوار حوالين الـC طبعاً
+
+461
+00:41:14,060 --> 00:41:17,500
+subset من مين هيكون؟ من الـinterval اللي معرف
+
+462
+00:41:17,500 --> 00:41:23,260
+عليها مين أنا F و G صح ولا لأ؟ there exist G of C
+
+463
+00:41:23,260 --> 00:41:29,830
+subset من I such that G of Xإذا كانت هذا أكبر من
+
+464
+00:41:29,830 --> 00:41:33,570
+صفر تكون أكبر من صفر إذا كان أصغر من صفر تكون
+
+465
+00:41:33,570 --> 00:41:40,130
+أشماله أصغر من صفر قلنا there exist gc اللي هو
+
+466
+00:41:40,130 --> 00:41:43,690
+عبارة عن neighborhood حوالين الـC جزء طبعا من I
+
+467
+00:41:43,690 --> 00:41:49,070
+اللي هي ال interval معرفة عليها Gsuch that الـ g
+
+468
+00:41:49,070 --> 00:41:54,450
+of x أشماله لا يسوى أيضًا سفر طبعًا أنا جاعت ليش
+
+469
+00:41:54,450 --> 00:41:58,790
+أعمل تهيأك عشان أشرع لحالي بعد شوية القسم على g of
+
+470
+00:41:58,790 --> 00:42:04,110
+x لأن دالة اللي أنا بحكي عليها مين هي f على g
+
+471
+00:42:04,110 --> 00:42:09,370
+فلازم أشغل في مكان تكون الـ g مش سفر
+
+472
+00:42:12,500 --> 00:42:16,300
+when there exists J C subset من I سجدات G of X لا
+
+473
+00:42:16,300 --> 00:42:21,700
+يساوي سفر لأن هذا الجوار اللي من خلاله بده تروح لـ
+
+474
+00:42:21,700 --> 00:42:26,620
+C X اللي فيه بده تروح لـ C فهذا الجوار مضمون الآن
+
+475
+00:42:26,620 --> 00:42:33,240
+تكون الأفعال جيمالها معرفة فيه واضح؟ طيب، الآن
+
+476
+00:42:33,240 --> 00:42:37,000
+فرشنا الفرش هذا، بدنا نيجي لموضوع الحسابات اللي
+
+477
+00:42:37,000 --> 00:42:43,070
+هيوصلنا إليهلأ اللي بديها شوف الآن عند ادالة مين
+
+478
+00:42:43,070 --> 00:42:48,570
+هذا let اللي هو زي ما سميها Q ايش متساوي F على G
+
+479
+00:42:48,570 --> 00:42:55,010
+بدي اثبت انه اللي هو Q is differential اللي عند ال
+
+480
+00:42:55,010 --> 00:42:59,730
+C بنفس الطريقة اللي قبل بشوية ايش بقول هنحسب
+
+481
+00:42:59,730 --> 00:43:06,470
+الحساب اللي عند Q of X ناقص Q of C على X minus C
+
+482
+00:43:07,020 --> 00:43:11,220
+ماشي الحال، هذه الـ Xات مين؟ حريص أنا أنها تكون
+
+483
+00:43:11,220 --> 00:43:17,660
+الـ X لا تساوي C و الـ X تبعتنا وين موجودة؟ في
+
+484
+00:43:17,660 --> 00:43:21,240
+الجهة C، أنا بسلم في الجوار، جوار عشان أروحله جوار
+
+485
+00:43:21,240 --> 00:43:25,340
+حتى مهما كان صغير، بدي أروح من خلاله على الـ C
+
+486
+00:43:25,340 --> 00:43:29,580
+أحنا اللي بتاخد limit بعد شوية الـ Q of X ناقص Q
+
+487
+00:43:29,580 --> 00:43:35,210
+of Z على X minus C، احسبليها، بساوي اللي هو Fof x
+
+488
+00:43:35,210 --> 00:43:42,050
+على g of x نقص f of c على g of c الكل مجسوم على x
+
+489
+00:43:42,050 --> 00:43:50,030
+minus c ماشي وحد المقامات الآن ويساوي عبارة عن x
+
+490
+00:43:50,030 --> 00:43:58,350
+minus c مضروب g of x g of c وهنا بيصير f of x g of
+
+491
+00:43:58,350 --> 00:44:06,120
+c نقص f of c g of x مظبوط؟بس وحدنا المقنعات و
+
+492
+00:44:06,120 --> 00:44:11,620
+يساوي الآن هذا عبارة عن زي ما عملت قبل شوية بضيف
+
+493
+00:44:11,620 --> 00:44:17,780
+term و أطرح term اللي يخدمني الان f of x g of c
+
+494
+00:44:17,780 --> 00:44:23,060
+الآن بدي أطلع اللي هو g of c عن المشتركة إذا بيصير
+
+495
+00:44:23,060 --> 00:44:33,700
+مزق ناقص g of c في f of c صح؟ زائد اللي هو g of cF
+
+496
+00:44:33,700 --> 00:44:42,520
+of C ناقص F of C في G of X على X minus C في G of X
+
+497
+00:44:42,520 --> 00:44:47,560
+في G of C أشي اللي سويته بس ضفت هذا المقدار وطرحته
+
+498
+00:44:47,560 --> 00:44:52,020
+مش معنى هو لإن أنا حسبنا في علنا إنه ناخد الـ G of
+
+499
+00:44:52,020 --> 00:44:54,940
+C عامل مشترك فبتظل F of X ناقص F of C وهديك
+
+500
+00:44:54,940 --> 00:44:59,360
+هتعملّي برضه إشي محترم زيه سبحان الله كل شي بتناسق
+
+501
+00:44:59,360 --> 00:45:01,000
+ويساوي
+
+502
+00:45:04,550 --> 00:45:11,890
+الأن أخد اللي هو f of x ولا g of c عامل مشترك فيه
+
+503
+00:45:11,890 --> 00:45:24,390
+عندي f of x ناقص f of c على x minus c وخلّي ليه؟
+
+504
+00:45:24,390 --> 00:45:29,030
+خلّيلي هدول أطلّحهم برا بالمرة اللي هي عبارة عن
+
+505
+00:45:29,030 --> 00:45:35,000
+واحد على g of xفي g of c طلعت هدولة بالمرة برا ال
+
+506
+00:45:35,000 --> 00:45:40,380
+.. ال summation برا .. برا الكثير كله زائد .. هذه
+
+507
+00:45:40,380 --> 00:45:46,420
+الأن أخدت هدول مع بعض هنا على x minus c هيهم لأن
+
+508
+00:45:46,420 --> 00:45:52,410
+أخد هذا برضه على هذا زائد اللي هو f of c براهي
+
+509
+00:45:52,410 --> 00:45:56,130
+اللي بدي أخده أخد من الـ f of c عامل مشترك في اللي
+
+510
+00:45:56,130 --> 00:46:01,110
+هو f خليني أقول .. خليني أخد سالب بالمرة بعد أذنكم
+
+511
+00:46:01,110 --> 00:46:06,410
+أخد سالب بالمرة بعد أذنكم فبصير f of c فبصير هذا
+
+512
+00:46:06,410 --> 00:46:11,290
+عبارة عن g of x ناقص g of c طبعا واضح عشان سويته
+
+513
+00:46:11,290 --> 00:46:17,530
+على x minus c كل هذا مضروب في مين؟ في واحد هذا g
+
+514
+00:46:17,530 --> 00:46:23,960
+of x في g of cالأن إيش هسوي يا جماعة زي ما عملت
+
+515
+00:46:23,960 --> 00:46:27,060
+قبل بشوية أنا غرض مين اللي هو ال derivative يعني
+
+516
+00:46:27,060 --> 00:46:31,360
+غرض أخد ال limit لهذه ماشي إذا انصار عندي ال limit
+
+517
+00:46:31,360 --> 00:46:35,860
+لهذه لما x تروح لل c بساوي ال limit لهذا المقدار
+
+518
+00:46:35,860 --> 00:46:43,540
+كله لما x تروح لمين لل c هذا بيخلص الآن عشان
+
+519
+00:46:43,540 --> 00:46:47,480
+تركزوا على الكلمتين هدولة هدولة خلصت منهم بظبط
+
+520
+00:46:47,480 --> 00:46:54,110
+اتطلعوا لللي ضال عندي هناالان ال limit هذه بقدر
+
+521
+00:46:54,110 --> 00:46:57,450
+ادخلها زي ما بدي ليش؟ اول اشي ال limit .. طبعا
+
+522
+00:46:57,450 --> 00:46:59,670
+راحظوا ان ال g of x أنا بشتغل فيه وانا مرتاح لإنه
+
+523
+00:46:59,670 --> 00:47:02,950
+مش 0 لإنه فرقة ثبتناها وخلصنا خدنا ال x's اللي في
+
+524
+00:47:02,950 --> 00:47:09,310
+ال .. في ال .. في ال jc .. jc اللي فيها ال g of x
+
+525
+00:47:09,310 --> 00:47:15,230
+لاتشهر 0 طيبالـG الـdifferential اللي كنت نفسي عند
+
+526
+00:47:15,230 --> 00:47:19,030
+الـC إذا الـlimit G of X بيساوي G of C إذا هذه
+
+527
+00:47:19,030 --> 00:47:23,690
+الـlimit اللي بدخل الليمتين وبدخل الليمتين وبدخل
+
+528
+00:47:23,690 --> 00:47:27,930
+الليمتين وهذه بتطلع لإنها ثابت بيصير عبارة عن إيش
+
+529
+00:47:27,930 --> 00:47:34,970
+هذا؟ واحد على G of C الكل تربيع، مظبوط؟ لأن في
+
+530
+00:47:34,970 --> 00:47:39,370
+اللي جوا اللي هو عبارة عن G of C مين هذا؟ في
+
+531
+00:47:39,370 --> 00:47:46,670
+الـprime of Cناقص F of C في G prime of C وهو
+
+532
+00:47:46,670 --> 00:47:50,550
+المطلوب اللي هي G of C في F prime ناقص F of C في G
+
+533
+00:47:50,550 --> 00:47:54,410
+prime على مين؟ على G of C الكل تربيع وبكون هيك
+
+534
+00:47:54,410 --> 00:47:58,090
+أثبتنا أنه لو كانت الـ F و الـ G الـ differential
+
+535
+00:47:58,090 --> 00:48:02,770
+اللي عندنا دقطة C و G of C لا تساوي سفر فعندنا الـ
+
+536
+00:48:02,770 --> 00:48:10,390
+F على G prime of C exist وقيمتها اللي أمامنا أي
+
+537
+00:48:10,390 --> 00:48:20,890
+سؤال؟طيب عندنا أخر نقطة طولت عليكم بهمش تفاصيل
+
+538
+00:48:20,890 --> 00:48:28,010
+التلخيص هي موجودة هان اللي
+
+539
+00:48:28,010 --> 00:48:31,030
+.. اللي هي ت .. اللي خلينا نقول تعميم للجبل بشوية
+
+540
+00:48:31,030 --> 00:48:35,790
+لو كانت F1 F1
+
+541
+00:48:37,710 --> 00:48:41,150
+وF2 عند FN are functions on an interval I subset
+
+542
+00:48:41,150 --> 00:48:44,250
+من R that are differentiable on C element in I
+
+543
+00:48:44,250 --> 00:48:48,390
+then F1 زد F2 زد FN برضه differentiable عند الـ C
+
+544
+00:48:48,390 --> 00:48:53,050
+وبتبع induction وبكون عند F1 زد FN لكل prime of C
+
+545
+00:48:53,050 --> 00:48:56,190
+بيساوي F1 prime of C زد F2 prime of C لما نصل عند
+
+546
+00:48:56,190 --> 00:49:02,180
+FN prime of C similarly بي ..برضه تعميم F1 في F2
+
+547
+00:49:02,180 --> 00:49:06,220
+في FN الـdifferentiable at C إذا حيكون حاصل الضرب
+
+548
+00:49:06,220 --> 00:49:10,400
+برضه الـdifferentiable و F prime F1 prime of C F2
+
+549
+00:49:10,400 --> 00:49:15,440
+of C FN of C و بعدين بنثبت الأولة و بنشتق الثانية
+
+550
+00:49:15,440 --> 00:49:19,100
+و هكذا لما نصل لآخر واحدة اللي هي F1 of C F2 of C
+
+551
+00:49:19,100 --> 00:49:24,680
+لعند FN prime of Cوبهيك نكون .. نهينا المحاضرة
+
+552
+00:49:24,680 --> 00:49:29,040
+الأولى وإن شاء الله المرة القادمة بنبدأ بالمحاضرة
+
+553
+00:49:29,040 --> 00:49:33,280
+التانية وحنبدأ من عند The Chain Rule الله يعطيكوا
+
+554
+00:49:33,280 --> 00:49:33,720
+العافية
+
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/uaBBi7JsFSQ.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/uaBBi7JsFSQ.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d96bc897bd8c28e558f68e26ee008cfb8f1a7be9
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/uaBBi7JsFSQ.srt
@@ -0,0 +1,1457 @@
+1
+00:00:05,480 --> 00:00:11,800
+بسم الله الرحمن الرحيم محاضرة رقم تسعة مساق تحليل
+
+2
+00:00:11,800 --> 00:00:19,160
+حقيقي اثنين طلاب الجامعة الإسلامية كلية العلوم قسم
+
+3
+00:00:19,160 --> 00:00:24,470
+الرياضيات. المحاضرة اليوم على جزئين، الجزء الأول 
+
+4
+00:00:24,470 --> 00:00:29,350
+هنتحدث عن applications of Taylor's theorem والجزء
+
+5
+00:00:29,350 --> 00:00:34,250
+الثاني هنتحدث عن اللي هو discussion لـ section 6.2 
+
+6
+00:00:34,250 --> 00:00:37,890
+و6.3 اللي هو discussion لـ mean value theorem وإذا 
+
+7
+00:00:37,890 --> 00:00:43,270
+في وجهة بنعمل discussion لـ اللي هو L'Hôpital's rule
+
+8
+00:00:43,960 --> 00:00:48,240
+الآن خلينا نكمل اللي اتحدثنا عنه المرة الماضية
+
+9
+00:00:48,240 --> 00:00:53,200
+ولكن على صورة تطبيقات ليه؟ اللي هو Taylor's
+
+10
+00:00:53,200 --> 00:00:58,660
+theorem وكيف بدنا اللي هو نستغل Taylor's theorem في
+
+11
+00:00:58,660 --> 00:01:03,360
+إثبات بعض النظريات المهمة في موضوع اللي هو الـ
+
+12
+00:01:03,360 --> 00:01:08,080
+maximum والـ minimum أو اللي هو الـ test لإن اللي
+
+13
+00:01:08,080 --> 00:01:12,140
+عندنا هل هي local maximum أو local minimum ولا لا
+
+14
+00:01:12,140 --> 00:01:15,860
+هي local maximum ولا هي local minimum كنا اتحدثنا 
+
+15
+00:01:15,860 --> 00:01:20,560
+سابقا على اللي هو الـ first derivative test لإن
+
+16
+00:01:20,560 --> 00:01:23,200
+النقطة اللي تكون الداخلية هل في عندها local 
+
+17
+00:01:23,200 --> 00:01:27,540
+maximum أو local minimum. الآن بدنا نتحدث عن الـ
+
+18
+00:01:27,540 --> 00:01:31,140
+Higher Derivative Test. احنا يمكن نمر عنا اللي هو
+
+19
+00:01:31,140 --> 00:01:33,720
+الـ Second Derivative Test اللي هو في الـ .. في
+
+20
+00:01:33,720 --> 00:01:36,900
+الـ Calculus اللي قابلنا نتحدث على الـ Higher
+
+21
+00:01:36,900 --> 00:01:40,080
+Derivative Test واللي هي .. اللي هي الـ Second
+
+22
+00:01:40,080 --> 00:01:44,090
+Derivative Test جزء من هذا اللي هو الـ test. نتطلع 
+
+23
+00:01:44,090 --> 00:01:48,030
+على الـ test إيش بقول؟ اللي هي عبارة عن theorem 6.44
+
+24
+00:01:48,030 --> 00:01:52,310
+Let I be an interval. نفترض أن I عبارة عن interval
+
+25
+00:01:52,310 --> 00:01:57,510
+وـ X<sub>0</sub> اللي هي نقطة اللي احنا بدنا نفحص عندها هل
+
+26
+00:01:57,510 --> 00:02:02,770
+في maximum أو في minimum أو لا في maximum ولا في
+
+27
+00:02:02,770 --> 00:02:06,470
+minimum. X<sub>0</sub> اللي هي عبارة عن interior point 
+
+28
+00:02:06,470 --> 00:02:10,890
+لمن؟ للـ interval I يعني نقطة داخلية. ونفترض الـ N
+
+29
+00:02:10,890 --> 00:02:14,570
+تبعنا أكبر أو يساوي 2 لأن الـ N أكبر أو يساوي 2
+
+30
+00:02:14,570 --> 00:02:17,690
+يعني الـ Second Derivative Test أو أعلى هو اللي
+
+31
+00:02:17,690 --> 00:02:20,910
+بده يحددنا أنه عندنا Maximum أو Minimum أو مافيش
+
+32
+00:02:20,910 --> 00:02:25,450
+لا Maximum ولا Minimum. Suppose ده الـ derivatives
+
+33
+00:02:25,450 --> 00:02:31,120
+اللي هي F' و F'' لعند F<sup>n</sup> exist and are 
+
+34
+00:02:31,120 --> 00:02:34,040
+continuous in a neighborhood of x<sub>0</sub>. نفترض إن 
+
+35
+00:02:34,040 --> 00:02:39,140
+هدول continuous وموجودة في اللي هو
+
+36
+00:02:41,860 --> 00:02:44,760
+اللي هي في neighborhood حوالي مين؟ الـ X<sub>0</sub>
+
+37
+00:02:44,760 --> 00:02:49,920
+ونفترض أن F' عند X<sub>0</sub> لعند F<sup>n-1</sup> prime
+
+38
+00:02:49,920 --> 00:02:54,060
+of X<sub>0</sub> إيش بيساوي؟ صفر. لكن عند F<sup>n</sup> of X<sub>0</sub>
+
+39
+00:02:54,060 --> 00:02:59,140
+إيش مالها؟ لا تساوي صفر. إذا الـ test إيش بيصير؟ أول
+
+40
+00:02:59,140 --> 00:03:06,120
+شيء بنشوف f' نقطة x<sub>0</sub> هذه نقطة متوقع عندها
+
+41
+00:03:06,120 --> 00:03:10,340
+maximum أو minimum أو مافيش شيء من النقاط اللي هي
+
+42
+00:03:10,340 --> 00:03:13,520
+بدنا نفحص عندها maximum أو minimum. إيش بدنا نسوي؟
+
+43
+00:03:13,520 --> 00:03:18,520
+في هذا الـ test بنجيب f' عند الـ x<sub>0</sub> إذا
+
+44
+00:03:18,520 --> 00:03:23,500
+لجيناها صفر بنيجي للـ f'' عند الـ x<sub>0</sub>
+
+45
+00:03:23,500 --> 00:03:29,130
+إذا لجيناها صفر اللي هو بنيجي للـ F''' عند الـ X<sub>0</sub>
+
+46
+00:03:29,130 --> 00:03:34,830
+وين بنصل للـ F''' .. وين بنصل للـ F<sup>n</sup> of X<sub>0</sub>. لا 
+
+47
+00:03:34,830 --> 00:03:39,210
+تساوي صفر؟ بيبدأ الخطوات تبعات الـ test. إيش الـ
+
+48
+00:03:39,210 --> 00:03:43,710
+test؟ اللي هي الأول إذا كانت N even طلعت عندنا N
+
+49
+00:03:43,710 --> 00:03:47,850
+هادئة. أول واحدة الـ derivative عندها عند الـ X<sub>0</sub> مش 
+
+50
+00:03:47,850 --> 00:03:53,930
+صفر وكانت الـ F<sup>n</sup> of X<sub>0</sub> أكبر من 0 بتكون الـ F إيه
+
+51
+00:03:53,930 --> 00:03:57,470
+شمالها؟ اللي هي relative minimum. زي الـ second
+
+52
+00:03:57,470 --> 00:04:01,710
+derivative test كنا لما نقول الـ F'' عند الـ X<sub>0</sub> أكبر 
+
+53
+00:04:01,710 --> 00:04:06,170
+من 0 على طول نحكم أنه في local minimum. هنا الآن لأ
+
+54
+00:04:06,170 --> 00:04:08,510
+احنا على الـ higher derivative وهتحللنا المشاكل
+
+55
+00:04:08,510 --> 00:04:10,290
+اللي كانت ما تتحلّش جامعي اللي هي second
+
+56
+00:04:10,290 --> 00:04:16,670
+derivative test. الآن F<sup>n</sup> is even والـ F<sup>n</sup> of X<sub>0</sub> أصغر 
+
+57
+00:04:16,670 --> 00:04:21,510
+من 0 إذا Fها زي إيه شمالها؟ relative maximum at X<sub>0</sub>
+
+58
+00:04:21,510 --> 00:04:25,670
+إذا لو طلعت عندي N is odd إيش يعني N is odd؟ يعني
+
+59
+00:04:25,670 --> 00:04:31,130
+أول .. أول derivative الـ F<sup>n</sup> عندها لا تساوي 0. طلعت
+
+60
+00:04:31,130 --> 00:04:35,390
+عندي هذه odd طبعًا أكبر إذا هو 2، 3 أو 5 أو 7 إلى
+
+61
+00:04:35,390 --> 00:04:39,490
+آخره على طول احنا بنحكم then F has neither
+
+62
+00:04:39,490 --> 00:04:43,610
+relative minimum nor إيش ما لها؟ relative maximum 
+
+63
+00:04:43,610 --> 00:04:50,790
+at X<sub>0</sub>. بتصور هيك النظرية واضحة. إيش نصها؟ بنجيب F
+
+64
+00:04:50,790 --> 00:04:56,570
+prime of X<sub>0</sub> و F double prime of X<sub>0</sub> إلى آخره. إذا
+
+65
+00:04:56,570 --> 00:05:01,170
+هذا بيساوي صفر بهذا بيساوي صفر بضلي ماشي لعند F<sup>n</sup>
+
+66
+00:05:01,170 --> 00:05:08,550
+of X<sub>0</sub> لا تساوي صفر وأك تست تصل لا تساوي صفر. باجي لل
+
+67
+00:05:08,550 --> 00:05:17,620
+test اللي هو uneven عند حالتين الحالة الأولى F<sup>n</sup> of 
+
+68
+00:05:17,620 --> 00:05:27,280
+X<sub>0</sub> أكبر من 0. Local Minimum. F<sup>n</sup> of X<sub>0</sub> أصغر من 0. Local 
+
+69
+00:05:27,280 --> 00:05:33,180
+maximum. لكن إذا طلعت n is odd يعني أول واحدة بعد
+
+70
+00:05:33,180 --> 00:05:37,720
+الاثنين اللي هو بيطلع عند F الـ derivative لها F<sup>n</sup> of
+
+71
+00:05:37,720 --> 00:05:43,200
+X<sub>0</sub> لا تساوي 0 طلعت عند n is odd إذا بحكم على طول F
+
+72
+00:05:43,200 --> 00:05:52,030
+has neither Local maximum nor Local minimum. تعالوا
+
+73
+00:05:52,030 --> 00:05:58,670
+اللي هو نبرهن اللي هو النظرية ونشوف إنه حجر الأساس 
+
+74
+00:05:58,670 --> 00:06:02,470
+للبرهان اللي هي Taylor's theorem هي Taylor's
+
+75
+00:06:02,470 --> 00:06:12,430
+theorem. نشوف كيف الآن عندي بدنا نطبق Taylor's
+
+76
+00:06:12,430 --> 00:06:15,820
+theorem على .. طبعًا احنا بنشتغل على الـ interval من
+
+77
+00:06:15,820 --> 00:06:21,520
+I. بناخد اللي هو X element من I وبنطبقلها من الـ
+
+78
+00:06:21,520 --> 00:06:26,120
+Taylor's theorem عند النقطة اللي احنا بدنا نختبر
+
+79
+00:06:26,120 --> 00:06:29,840
+عند X<sub>0</sub> فهي اللي بده أجيب Taylor's theorem حواليها
+
+80
+00:06:29,840 --> 00:06:36,160
+إذا حسب Taylor's theorem that there exists C between 
+
+81
+00:06:36,160 --> 00:06:45,630
+اللي هي X و X<sub>0</sub> such that اللي هو F of X. F of X 
+
+82
+00:06:45,630 --> 00:06:52,110
+بيساوي بي<sup>n-1</sup> بدي أقبّقها اللي بحيث أن الـ
+
+83
+00:06:52,110 --> 00:06:56,250
+polynomial ما<sup>n-1</sup> ليش؟ لإني أنا ما أعطيني
+
+84
+00:06:56,250 --> 00:07:01,110
+هو عنده الـ derivative اللي هي لعند F<sup>n-1</sup>
+
+85
+00:07:01,110 --> 00:07:05,870
+كلها صفر واللي مش صفر اللي هي مين؟ F<sup>n</sup> of X<sub>0</sub>
+
+86
+00:07:06,550 --> 00:07:11,390
+فعند اللي هي R<sup>n-1</sup> هطبق عشان أحكم للـ F<sup>n</sup> of X
+
+87
+00:07:11,390 --> 00:07:15,310
+<sub>0</sub> على إنه عندني local maximum أو local minimum
+
+88
+00:07:15,310 --> 00:07:19,750
+أو neither. كيف؟ خلينا نطبق الـ Taylor's theorem 
+
+89
+00:07:19,750 --> 00:07:28,350
+زائد اللي هو أشملها R<sup>n-1</sup> of X هذه عندي
+
+90
+00:07:28,350 --> 00:07:33,230
+Taylor's theorem. الآن الـ P<sup>n-1</sup> اللي هي عبارة 
+
+91
+00:07:33,230 --> 00:07:40,820
+عن إيش؟ F of x<sub>0</sub> زائد f' of x<sub>0</sub> في x
+
+92
+00:07:40,820 --> 00:07:45,440
+minus x<sub>0</sub> اللي هو على واحد factorial زائد لما
+
+93
+00:07:45,440 --> 00:07:51,400
+أصل لآخر واحد f<sup>n-1</sup> of x<sub>0</sub> في x minus
+
+94
+00:07:51,400 --> 00:07:55,540
+x<sub>0</sub> قس n ناقص واحد على n ناقص واحد لكل
+
+95
+00:07:55,540 --> 00:08:02,700
+factorial زائد main الـ remainder اللي هو main اللي
+
+96
+00:08:02,700 --> 00:08:09,810
+هو عبارة عن x نقص x<sub>0</sub> أس n على n factorial في f
+
+97
+00:08:09,810 --> 00:08:18,850
+<sup>n</sup> of c عندي c والـ c مالها؟ between x<sub>0</sub>
+
+98
+00:08:18,850 --> 00:08:27,170
+and c and x. واضح ويساوي الأن كل هذول أصفار صح
+
+99
+00:08:27,170 --> 00:08:33,500
+ولا لأ؟ إذا حيصير عندي هذا بيساوي لإني معطيلي الـ F
+
+100
+00:08:33,500 --> 00:08:41,120
+prime of X<sub>0</sub> لعند F<sup>n-1</sup> of X<sub>0</sub> كله 
+
+101
+00:08:41,120 --> 00:08:46,700
+صفر إذا صلي عندي هذا بيساوي F of X<sub>0</sub> لأن هذا 
+
+102
+00:08:46,700 --> 00:08:55,740
+كله بتصفر زاد X minus X<sub>0</sub> أس N على N factorial
+
+103
+00:08:55,740 --> 00:09:09,290
+في F<sup>n</sup> of c. واضح. آه أي سؤال؟ طيب عندي أنا اللي هو 
+
+104
+00:09:09,290 --> 00:09:19,230
+معطيني الـ الـ f<sup>n</sup> of x<sub>0</sub> اللي هي لا تساوي صفر
+
+105
+00:09:19,230 --> 00:09:25,170
+إذا الـ f<sup>n</sup> of x<sub>0</sub> يا أكبر من صفر يا أصغر من h
+
+106
+00:09:25,170 --> 00:09:36,570
+من صفر إذا أكيد عندي الـ F<sup>n</sup> of X<sub>0</sub> والـ F<sup>n</sup> of C
+
+107
+00:09:36,570 --> 00:09:43,810
+اللي هم إيش؟ اللي هم the same sign. ماشي؟ آه اللي هم نفس
+
+108
+00:09:43,810 --> 00:09:50,770
+نفس اللي هو الإشارة. طبعًا السبب أن F<sup>n</sup> شمالها is 
+
+109
+00:09:50,770 --> 00:09:55,950
+continuous. انوضحلكم إياها. تتذكروا
+
+110
+00:09:57,370 --> 00:10:02,330
+قلنا خلينا ناخد حالة. نفترض أن هذا أكبر من مين؟ من
+
+111
+00:10:02,330 --> 00:10:12,690
+صفر احنا كنا نقول limit أي حاجة g of x لما x تروح 
+
+112
+00:10:12,690 --> 00:10:18,970
+للـ c مثلًا أكبر من صفر معناته في جوار في جوار 
+
+113
+00:10:18,970 --> 00:10:23,210
+حوالين اللي هو الـ c الـ g of x نفسها إيش هتكون؟ أكبر 
+
+114
+00:10:23,210 --> 00:10:28,110
+من صفر لكل x في هذا الجوار. يعني هيكون عندي إذاً g 
+
+115
+00:10:28,110 --> 00:10:37,710
+of x أكبر من 0 لكل x في some جوار δ of c
+
+116
+00:10:37,710 --> 00:10:41,690
+هذا اللي بدأ أستخدمها الآن في الوصول للي بديها
+
+117
+00:10:41,690 --> 00:10:45,590
+خليني نشوف كيف بدأ نستخدم هذه المعلومة الآن أنا
+
+118
+00:10:45,590 --> 00:10:55,750
+عندي الـ F<sup>n</sup> is continuous نفسها إذاً limit F<sup>n</sup> of X
+
+119
+00:10:55,750 --> 00:11:03,290
+approaching of X اللي هو لما الـ X تروح للـ X<sub>0</sub> اللي هو 
+
+120
+00:11:03,290 --> 00:11:10,070
+إيش متساوي؟ approaching of X<sub>0</sub> وبرضه continuous عند مين؟ 
+
+121
+00:11:11,690 --> 00:11:16,810
+وبرضه continuous عند مين؟ عند الـ C معايا وعند الـ
+
+122
+00:11:16,810 --> 00:11:21,030
+C إيش مالها؟ continuous. أنا اللي هيلزمني مين؟ هنا
+
+123
+00:11:21,030 --> 00:11:26,930
+الـ X<sub>0</sub> مظبوط ولا لأ؟ عندي هتلزمني مين؟ اللي هي
+
+124
+00:11:26,930 --> 00:11:35,950
+الـ X<sub>0</sub> إذا صار عندي F<sup>n</sup> of X<sub>0</sub> هي اللي هتحددلي
+
+125
+00:11:35,950 --> 00:11:45,090
+من هنا اللي هي إشارة مين؟ F<sup>n</sup> of C. واضح الآن من هذه
+
+126
+00:11:45,090 --> 00:11:54,310
+إذا كانت F of X<sub>0</sub> مثلًا أكبر من صفر هتطلع حد
+
+127
+00:11:54,310 --> 00:11:58,870
+أكبر من صفر. خلينا نشوفها. إذا الآن خليني أبدأ في 
+
+128
+00:11:58,870 --> 00:12:06,270
+مين؟ في I بدي افترض مين الآن؟ F<sup>n</sup> of x<sub>0</sub> أكبر من أيش؟
+
+129
+00:12:06,270 --> 00:12:13,010
+من صفر وافترض أن الآن عند إيش؟ معنها is even. بدي
+
+130
+00:12:13,010 --> 00:12:19,950
+أنطلق من هذه إذا الآن F<sup>n</sup> of x<sub>0</sub> أكبر من صفر و n
+
+131
+00:12:19,950 --> 00:12:25,730
+is even. بناء على هذه for every y أكبر من صفر there 
+
+132
+00:12:25,730 --> 00:12:32,440
+exists such that المهم بيطلع عندي اللي هو F هذه إيش
+
+133
+00:12:32,440 --> 00:12:37,880
+مفترضين احنا؟ أكبر من إيه؟ إيش؟ من صفر. إذا حسب اللي
+
+134
+00:12:37,880 --> 00:12:45,450
+حكيته قبل بشوية there exist δ of إيش؟ of X<sub>0</sub>
+
+135
+00:12:45,450 --> 00:12:53,590
+حوالي مين؟ الـ X<sub>0</sub> such that اللي هو F<sup>n</sup> of X زي
+
+136
+00:12:53,590 --> 00:12:59,290
+إشارة هذه اللي هي أكبر من 0 لكل X وين؟ في الـ V
+
+137
+00:12:59,290 --> 00:13:06,880
+δ of مين؟ of X<sub>0</sub> ماشي الحال واللي من ضمن هدول 
+
+138
+00:13:06,880 --> 00:13:15,060
+مين؟ C. إذا صارت عندي الآن F<sup>n</sup> of C برضه إيه شمالها؟
+
+139
+00:13:15,060 --> 00:13:21,860
+أكبر من صفر. الآن اتضحت الصورة. الآن صارت عندي من
+
+140
+00:13:21,860 --> 00:13:26,420
+الأصل F of X بسوء F of X<sub>0</sub> زائد هذا المقدار بدي
+
+141
+00:13:26,420 --> 00:13:31,020
+أقول الآن بما أن هذه أكبر من صفر وإن أنا مفترضها
+
+142
+00:13:31,020 --> 00:13:36,490
+إنها even إذا حيصير عندي هذا أكبر من صفر وهذا أكبر 
+
+143
+00:13:36,490 --> 00:13:41,570
+من صفر إذا الـ remainder كله إيش ماله؟ أكبر من صفر
+
+144
+00:13:41,570 --> 00:13:47,710
+مدام الـ remainder أكبر من صفر واضح اللي بحكي. F<sup>n</sup>
+
+145
+00:13:47,710 --> 00:13:53,010
+of C أكبر من صفر وهذا المقدر أكبر من صفر لأنه N is 
+
+146
+00:13:53,010 --> 00:13:58,710
+even إذا صار كل هذا أكبر من صفر إذا automatic لما
+
+147
+00:13:58,710 --> 00:14:04,660
+أشيله هيصغر المقدار، بظبط ولا لأ؟ فهيصير عند الـ F
+
+148
+00:14:04,660 --> 00:14:12,040
+of X اللي هو أكبر من مين؟ من الـ F of X<sub>0</sub> لأن F
+
+149
+00:14:12,040 --> 00:14:17,680
+of X بيساوي هذا زائد هذا فأكيد عند الـ F of X أكبر
+
+150
+00:14:17,680 --> 00:14:22,160
+من مين؟ من F of X<sub>0</sub> في وين؟ لكل X وين موجودة
+
+151
+00:14:22,160 --> 00:14:30,530
+في الجوار اللي حواليها، إذا صار عند F has local
+
+152
+00:14:30,530 --> 00:14:40,870
+minimum at x<sub>0</sub>. Similarly لو
+
+153
+00:14:40,870 --> 00:14:53,630
+بدنا نفترض إن المقدار هذا عندي F<sup>n</sup> of x<sub>0</sub> أصغر من 0
+
+154
+00:14:54,540 --> 00:15:00,740
+وبدأ أبدأ أحكي عن مين؟ عن I. I بيصير عندي الآن حسب
+
+155
+00:15:00,740 --> 00:15:07,320
+الحديث هنا الـ F<sup>n</sup> of C اللي هي أصغر من 0 لإني هتكون
+
+156
+00:15:07,320 --> 00:15:13,600
+الـ F<sup>n</sup> of X لكل X في هذا الدوار the same sign as F<sup>n</sup> 
+
+157
+00:15:13,600 --> 00:15:18,120
+of X<sub>0</sub>. أصغر من 0 إذا صارت عندي F<sup>n</sup> of C أصغر من
+
+158
+00:15:18,120 --> 00:15:24,050
+0. هذه صارت سالبة وهذه موجبة لإني and is even. إذا
+
+159
+00:15:24,050 --> 00:15:28,290
+صار المقدار هذا كله على بعض إيه شماله؟ سالب في كل
+
+160
+00:15:28,290 --> 00:15:33,070
+هذا الجوار. ما ده صار سالب معناته إنه لما أنا أشيله 
+
+161
+00:15:33,070 --> 00:15:39,330
+بكبر اللي بظهر يعني بيصير F of X<sub>0</sub> بناء عليه
+
+162
+00:15:39,330 --> 00:15:46,630
+أكبر من F of X. مظبوط؟ وهذا يعني إنه صار الـ F في هذه
+
+163
+00:15:46,630 --> 00:15:56,010
+الحالة عندها local maximum. local maximum. واضح؟ أي
+
+164
+00:15:56,010 --> 00:16:01,510
+سؤال؟ طيب، ضال عند مين؟ الحالة الأخيرة، هذي
+
+165
+00:16:01,510 --> 00:16:09,170
+تذكرينها لإني برضه بدي اشتغل نفس الشيء في الحالة
+
+166
+00:16:09,170 --> 00:16:15,680
+الأخيرة أو شيء مشابه. عند الآن بدي افترض mean أن 
+
+167
+00:16:15,680 --> 00:16:25,980
+الحالة الثالثة بدي افترض أن الـ is n of n زي
+
+168
+00:
+
+201
+00:19:51,140 --> 00:19:55,640
+الرسم يا بو محمد عندي بدنا نعرف مين الـ convex
+
+202
+00:19:55,640 --> 00:19:59,860
+function الآن الـ convex function إيش يكون cave
+
+203
+00:19:59,860 --> 00:20:05,200
+اللي هو إيش up خليني نشوف إيش هذي اللي هو بعبر شو
+
+204
+00:20:05,200 --> 00:20:07,980
+معناه الـ F is convex
+
+205
+00:20:10,750 --> 00:20:14,990
+خاصية الـ convex أو الـ convexity بنحكي فيها على
+
+206
+00:20:14,990 --> 00:20:22,090
+interval يعني بنقول F من عند I لعند R بنقول عنها F
+
+207
+00:20:22,090 --> 00:20:28,170
+is convex on إيش؟ on I on وين؟ ع الـ interval I إذا 
+
+208
+00:20:28,170 --> 00:20:35,970
+كان شوف كيف خدلي الآن X1 أي نقطة في داخل الـ I و
+
+209
+00:20:35,970 --> 00:20:41,970
+X2 أي نقطة في داخل الـ I وخدلي الـ parameter T بين
+
+210
+00:20:41,970 --> 00:20:45,830
+الصفر وبين الواحد الآن النقطة الـ linear
+
+211
+00:20:45,830 --> 00:20:51,230
+combination بين X1 و X2 بواسطة 1-T X1 زائد T X2
+
+212
+00:20:51,230 --> 00:20:56,530
+هتكون بين X1 وبين X2 X2 X2 X2 X2 X2 X2 X2 X2 X2
+
+213
+00:20:56,530 --> 00:20:56,950
+X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2
+
+214
+00:20:56,950 --> 00:21:06,250
+X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2 X2
+
+215
+00:21:06,250 --> 00:21:14,050
+X2 X2 X2 X2 X2 X2 X2 لو إجيت لـ F of X1 هيها وهذا F
+
+216
+00:21:14,050 --> 00:21:20,650
+of X2 لو ضربت الـ F of X1 و 1 minus T وجمعتها لـ T
+
+217
+00:21:20,650 --> 00:21:25,170
+في F of X2 هتلاقيها بين اللي هو مين على اللي هو
+
+218
+00:21:25,170 --> 00:21:32,010
+الخط المستقيم القاطع بين X1 و F of X1 وبين X2 و F 
+
+219
+00:21:32,010 --> 00:21:37,970
+of X2 دائماً هتلاقي هذه النقطة الصورة هنا أعلى من
+
+220
+00:21:37,970 --> 00:21:42,910
+هذه وهذا معنى اللي هو الـ convex وعن عرف الـ convex
+
+221
+00:21:42,910 --> 00:21:50,390
+على هذا الأساس بيقول F is convex on I طلعلي على
+
+222
+00:21:50,390 --> 00:21:54,650
+التعريف إذا كان أخدنا أي X واحد و X اتنين element
+
+223
+00:21:54,650 --> 00:22:00,690
+in I وأخدنا T اللي هو element in 01 يعني بين 0 و 1
+
+224
+00:22:00,690 --> 00:22:13,020
+بيحققلي F اللي هو for any كده f
+
+225
+00:22:13,020 --> 00:22:19,140
+is a convex in I if for any كده وكده we have
+
+226
+00:22:19,140 --> 00:22:25,940
+فاهمين عليا f of واحد minus T X واحد زائد T في X
+
+227
+00:22:25,940 --> 00:22:32,520
+اتنين إيش ماله هيسير؟ أصغر أو يساوي واحد ناقص T في
+
+228
+00:22:32,520 --> 00:22:38,000
+X واحد زائد T في F of X اتنين
+
+229
+00:22:40,410 --> 00:22:44,370
+طبعاً اللي هو الـ .. الـ .. الـ .. الـ .. الـ convex
+
+230
+00:22:44,370 --> 00:22:48,330
+functions في عليها دراسات كثيرة ودراسات حديثة كمان
+
+231
+00:22:48,330 --> 00:22:55,070
+حتى يعني في اللي هو real analysis بما يتعلق بالـ ..
+
+232
+00:22:55,070 --> 00:22:58,950
+مش بالـ integration العادي كمان باللي هو .. و
+
+233
+00:22:58,950 --> 00:23:03,310
+علاقتها بالـ integration في اللي هو الـ .. الـ big
+
+234
+00:23:03,310 --> 00:23:08,760
+integra كمان وطبعاً وإليها اللي هو خلّيني أقول
+
+235
+00:23:08,760 --> 00:23:14,020
+تطبيقات أو استخدامات في اللي هو optimization اللي
+
+236
+00:23:14,020 --> 00:23:20,350
+هي theory الآن احنا هنتحك .. هنحكي فيها بما يتعلق
+
+237
+00:23:20,350 --> 00:23:24,470
+في هذا الجزء من الـ chapter اللي هو اللي بتعلق كـ ..
+
+238
+00:23:24,470 --> 00:23:28,350
+كـ .. كمين؟ كـ Taylor's theorem وكيف بدنا نطبق الـ
+
+239
+00:23:28,350 --> 00:23:32,590
+Taylor's theorem في إثبات نظرية تعرف لنا الـ test
+
+240
+00:23:32,590 --> 00:23:37,730
+إيه لها؟ قول يا محمد هل
+
+241
+00:23:37,730 --> 00:23:46,670
+جيت وشفتها؟ في الـ calculus في الـ calculus كنا
+
+242
+00:23:46,670 --> 00:23:52,670
+ناخد اللي هو test للـ increasing والـ decreasing
+
+243
+00:23:52,670 --> 00:23:59,380
+باستخدام الـ first derivative إذا بتتذكروا كنا ناخد
+
+244
+00:23:59,380 --> 00:24:04,220
+أيضاً اللي هو عشان نعرف الدالة concave up أو
+
+245
+00:24:04,220 --> 00:24:08,340
+concave down بوسط تمين الـ second derivative test
+
+246
+00:24:08,340 --> 00:24:11,880
+ماشي الحال إذا كانت F double prime أكبر من صفر
+
+247
+00:24:11,880 --> 00:24:15,360
+كانت اللي هي concave up إذا كانت F double prime
+
+248
+00:24:15,360 --> 00:24:20,060
+أصغر من صفر كانت أشمالها concave down الآن هتشوفوا
+
+249
+00:24:20,060 --> 00:24:25,000
+النظرية اللي بتشابه اللي بنحكي و هتستنتج إيش اللي
+
+250
+00:24:25,000 --> 00:24:32,080
+بحكيه بجاوب على سؤالك شوف الآن الآن عندي واضح أنه
+
+251
+00:24:32,080 --> 00:24:36,940
+من التعريف أن نفحص الدالة أن تكون convex ولا مش
+
+252
+00:24:36,940 --> 00:24:41,920
+convex بالشكل اللي حكيناه بالتعريف اللي حكيناه
+
+253
+00:24:41,920 --> 00:24:46,380
+بغلب وبعض الدول مش هنقدر أو مش هنعرف اللي هو
+
+254
+00:24:46,380 --> 00:24:49,980
+لصعوبة الحسابات أن نثبت أنها convex أو مش convex
+
+255
+00:24:49,980 --> 00:24:58,330
+فأكيد بدنا test يسهل لنا عملية إيجاد أو معرفة إن هذه
+
+256
+00:24:58,330 --> 00:25:03,070
+الدالة is convex ولا لأ واضح اللي بحكيه؟ يلا نشوف
+
+257
+00:25:03,070 --> 00:25:07,810
+مع بعض الآن قبلها بيعطينا بس counter example
+
+258
+00:25:07,810 --> 00:25:15,110
+بيقول لي إن الـ convex function ممكن ما تكونش 
+
+259
+00:25:15,110 --> 00:25:18,540
+differentiable على الفترة اللي فيها convex يعني
+
+260
+00:25:18,540 --> 00:25:20,660
+ممكن اللي هي الـ .. الـ .. الـ احنا اللي جابنا قبل
+
+261
+00:25:20,660 --> 00:25:24,800
+شوية اللي جيبناها الدالة هي محلاها في انسياب وفي
+
+262
+00:25:24,800 --> 00:25:27,860
+differentiability والـ short أعلى من الـ .. من
+
+263
+00:25:27,860 --> 00:25:31,260
+الدالة نفسها وكده والـ function differentiable
+
+264
+00:25:31,260 --> 00:25:34,440
+لكن هذا الكلام مش دائماً حاصل أنه الـ convex
+
+265
+00:25:34,440 --> 00:25:37,100
+function تكون differentiable وأشهر منه ومثال
+
+266
+00:25:37,100 --> 00:25:41,460
+مشهور وسهل اللي هو F of X بسوء الـ absolute value
+
+267
+00:25:41,460 --> 00:25:45,720
+للـ X F of X بسوء الـ absolute value للـ X هذا اللي
+
+268
+00:25:45,720 --> 00:25:52,270
+هو is أكيد كلكم عارفينها not differentiable at 0
+
+269
+00:25:52,270 --> 00:26:01,530
+but it is convex on any interval I containing إيه
+
+270
+00:26:01,530 --> 00:26:05,370
+إيش الـ 0، بظبط؟ الـ .. الـ .. it is not
+
+271
+00:26:05,370 --> 00:26:08,030
+differentiable اللي عارفينها الـ .. الـ .. الـ .. الـ
+
+272
+00:26:08,030 --> 00:26:13,730
+.. نثبت أنها convex let على interval I X1 و X2
+
+273
+00:26:13,730 --> 00:26:19,800
+element in I و T element in 0 و 1 احسب اللي لان F
+
+274
+00:26:19,800 --> 00:26:29,780
+of 1 minus T في X1 زي T في X2 بساوية عبارة عن الـ
+
+275
+00:26:29,780 --> 00:26:36,240
+absolute value واحد نقص T X1 زي T في X2 وهذا من
+
+276
+00:26:36,240 --> 00:26:39,700
+خلاص الـ absolute value أصغر بساوية واحد نقص T في
+
+277
+00:26:39,700 --> 00:26:46,100
+X1 زاية T في X2 وهذا طبعاً مين هو؟ هو عبارة عن 1 نقص
+
+278
+00:26:46,100 --> 00:26:53,120
+T F of X1 زاية T في F of X2 إذا صار عندي الـ F
+
+279
+00:26:53,120 --> 00:26:56,240
+أشمالها is convex but it is not differentiable
+
+280
+00:26:56,240 --> 00:27:00,620
+اطلع لفوق الآن يجيلا اللي هو الـ test اللي معطينيا
+
+281
+00:27:00,620 --> 00:27:07,060
+اللي بقول لي اللي بجاوب على سؤالك يا محمد let I be
+
+282
+00:27:08,590 --> 00:27:13,190
+an open interval and let f من I لـ R have a second
+
+283
+00:27:13,190 --> 00:27:18,890
+derivative on I نفترض أن الـ F'' إيش ما لها موجودة
+
+284
+00:27:18,890 --> 00:27:25,600
+على I إذا من رأس الدور مفترضين الـ F'' موجودة الـ
+
+285
+00:27:25,600 --> 00:27:30,140
+test هو كما قال لي f is convex on i if and only if f
+
+286
+00:27:30,140 --> 00:27:34,740
+double prime أشمالها أكبر من 0 لكل x when element
+
+287
+00:27:34,740 --> 00:27:39,300
+in I بصور واضحة الأمر الآن بدي أستخدم في المرهان
+
+288
+00:27:39,300 --> 00:27:44,520
+اللي هو سؤال اللي هو 16 في الـ exercises وهنحله
+
+289
+00:27:44,520 --> 00:27:48,380
+وهذا من ضمن الـ exercises اللي معاكم هو Morgue وهن
+
+290
+00:27:48,380 --> 00:27:53,910
+حله في حينه الآن إيش اللي هو الـ .. الـ .. الـ .. الـ
+
+291
+00:27:53,910 --> 00:27:58,390
+.. السؤال بيقول إذا كانت f double prime موجودة ثم
+
+292
+00:27:58,390 --> 00:28:02,570
+اثبت لي أن f double prime can be written as limit
+
+293
+00:28:02,570 --> 00:28:06,470
+f of a زاد h نقص اتنين f of a زاد f of a نقص h
+
+294
+00:28:06,470 --> 00:28:11,850
+على مين على h تربيع ماشي الحال هذا بدأ اعتمد على
+
+295
+00:28:11,850 --> 00:28:17,950
+أنه اللي هو مثبت في إثبات النظرية ونشوف كيف ناخد
+
+296
+00:28:17,950 --> 00:28:23,540
+الاتجاه الأول أول إشي بده اللي هو بنفترض أنه عندي
+
+297
+00:28:23,540 --> 00:28:29,080
+الـ .. اللي هو الـ F is convex ومنها نصل لإنه الـ
+
+298
+00:28:29,080 --> 00:28:34,300
+derivative أشمالها أكبر أو يساوي صفر ماشي الحال
+
+299
+00:28:34,300 --> 00:28:43,480
+خليني نشوف مع بعض كيف اللي هو نثبت
+
+300
+00:28:43,480 --> 00:28:55,740
+أنه if F is convex then F double prime of A أكبر
+
+301
+00:28:55,740 --> 00:29:01,720
+من الصفر لما نقول suppose that
+
+302
+00:29:01,720 --> 00:29:11,780
+proof واضح بس .. suppose that أن F is convex
+
+303
+00:29:11,780 --> 00:29:16,880
+لنثبت أن F double prime of A أكبر من الصفر الآن
+
+304
+00:29:16,880 --> 00:29:21,240
+أنا الـ F is convex وين على الـ I و differentiable
+
+305
+00:29:21,240 --> 00:29:25,560
+وين second derivative لها على الـ I خليني أختار
+
+306
+00:29:25,560 --> 00:29:31,280
+الآن اللي هو الـ H بحيث بدي أختار H بحيث أنه A
+
+307
+00:29:31,280 --> 00:29:36,440
+ناقص H و A زائد H التانين يكون هنا وين موجودات في
+
+308
+00:29:36,440 --> 00:29:39,600
+الـ interval I اللي عليها شغل اللي أنا بدي أشتغل
+
+309
+00:29:39,600 --> 00:29:49,760
+عليها الآن خدلي الآن Fof A واكتبها على صورة F of
+
+310
+00:29:49,760 --> 00:29:59,450
+نصف في A زائد H زائد نصف في A نقص H لأن هذه عبارة عن
+
+311
+00:29:59,450 --> 00:30:03,330
+نصف A ونصف A هي الـ A ونصف H ناقص نصف H بروحوا مع
+
+312
+00:30:03,330 --> 00:30:06,730
+بعض ده منرجع لمين للـ F وفيها كده تعرفي ليش عملتيل
+
+313
+00:30:06,730 --> 00:30:12,450
+طبعاً هذه هتشتغل بمثابة 1 نقص T وهذه T إذا T
+
+314
+00:30:12,450 --> 00:30:16,370
+بين الـ Zero والواحد صحيحة وبما أن F is convex و
+
+315
+00:30:16,370 --> 00:30:20,750
+هذول اتنين نقطين عبارة عن نقطتين في I لأن هيك
+
+316
+00:30:20,750 --> 00:30:26,520
+أختار الـ H هنا هيكون هذا أصغر أو يساوينصف F of A
+
+317
+00:30:26,520 --> 00:30:35,620
+زائد H زائد نصف F of A نقص H واضح؟
+
+318
+00:30:35,620 --> 00:30:43,000
+أي سؤال؟ واضح أه؟ جيبلي هذا على الجهة الثانية
+
+319
+00:30:43,000 --> 00:30:51,620
+بيصير عندي نصف F of A زائد H زائد نصف F of A نقص H
+
+320
+00:30:51,620 --> 00:30:59,230
+ناقص F of A كل و أشماله أكبر أو يساوي إيش أكبر
+
+321
+00:30:59,230 --> 00:31:05,010
+أو يساوي صفر وضرب الجهتين في اتنين بيصير عندي
+
+322
+00:31:05,010 --> 00:31:10,550
+مضربت في اتنين بيصير هذه اللي هو النص بيصير واحد والـ
+
+323
+00:31:10,550 --> 00:31:14,490
+نص هذا بيصير واحد وهذا بيصير أشماله نقص
+
+324
+00:31:14,490 --> 00:31:22,650
+اتنين F of of A اقسم لليه الآن على H تربيع و H
+
+325
+00:31:22,650 --> 00:31:26,370
+تربيع موجبة بقى، إذا بيضلوا هذا أشماله المفضل أكبر
+
+326
+00:31:26,370 --> 00:31:32,030
+أو يساوي صفر خد الـ limit للجهتين limit as H goes
+
+327
+00:31:32,030 --> 00:31:40,440
+to zero بيضلوا أكبر أو يساوي صفر، مظبوط؟ وهذا By
+
+328
+00:31:40,440 --> 00:31:44,920
+الـ exercise اللي بنحكي عنه هو عبارة عن مين؟ F
+
+329
+00:31:44,920 --> 00:31:48,100
+double prime of A فطلع عندي F double prime of A
+
+330
+00:31:48,100 --> 00:31:52,320
+أكبر أساوي الصفر طبعاً ما قدرت أستخدم هذا أنه بنكتبه
+
+331
+00:31:52,320 --> 00:31:56,840
+على صورة هذا إلا في ضوء أنه هو أصلاً حاكي لي الـ F
+
+332
+00:31:56,840 --> 00:32:03,940
+double prime exist on I واضح أه؟ أي سؤال إذا الآن
+
+333
+00:32:03,940 --> 00:32:08,580
+اطلع لفوق وبنكون احنا خلصنا الجزء الأول وبنكون
+
+334
+00:32:08,580 --> 00:32:11,860
+بدنا نبدأ بالجزء الثاني اللي هو بالـ prime أكبر
+
+335
+00:32:11,860 --> 00:32:17,600
+من الصفر ونصل لمين للـ F is convex أوضحت هذه خليني
+
+336
+00:32:17,600 --> 00:32:24,100
+بس أنسحها وأقول ما يليه
+
+337
+00:32:24,100 --> 00:32:27,560
+نفترض
+
+338
+00:32:27,560 --> 00:32:30,060
+لأن صبوذ
+
+339
+00:32:32,450 --> 00:32:39,370
+that f double prime of a أشماله أكبر أو يساوي صفر
+
+340
+00:32:39,370 --> 00:32:45,330
+ماشي الحال .. بدنا نثبت لك أن f is convex كيف بدنا
+
+341
+00:32:45,330 --> 00:32:52,130
+نثبت أن f is convex؟ بدنا نقول let x1 و x2 بيه أي
+
+342
+00:32:52,130 --> 00:32:57,630
+element in مين؟ in i و t element in zero واش و
+
+343
+00:32:57,630 --> 00:33:06,820
+واحد وسميلي X not هي عبارة عن واحد minus T في X
+
+344
+00:33:06,820 --> 00:33:13,580
+واحد زائد T في مين في X اتنين الآن بدي أطبق اللي
+
+345
+00:33:13,580 --> 00:33:16,480
+هو taylor's theorem أول إشي طبعاً taylor's theorem
+
+346
+00:33:16,480 --> 00:33:21,960
+قابل للتطبيق اللي عند مين عند a بتساوي واحد بس
+
+347
+00:33:21,960 --> 00:33:25,640
+لأن المشتقة الأولى والثانية موجودة بعد هيك ما حدش
+
+348
+00:33:25,640 --> 00:33:29,480
+حكالي فإذا بيحجلي أن أطبق Taylor's theorem بس على
+
+349
+00:33:29,480 --> 00:33:34,260
+وين على اللي هو a بتساوي صفر أو a بتساوي واحد
+
+350
+00:33:34,260 --> 00:33:36,800
+a بتساوي صفر بيصير main value theorem a بتساوي
+
+351
+00:33:36,800 --> 00:33:41,000
+واحد اللي هو اللي بتطبق عليها وهتخدمني ماشي الحال
+
+352
+00:33:41,000 --> 00:33:46,470
+نشوف الآن apply taylor's theorem ع الفترة على اللي
+
+353
+00:33:46,470 --> 00:33:51,970
+هو الـ X واحد والـ X note اللي عندي there exist اللي
+
+354
+00:33:51,970 --> 00:34:00,270
+هو C واحد between X واحد and X note such that اه
+
+355
+00:34:00,270 --> 00:34:08,370
+اللي هو F of X note مظبوط أو F of .. ده طبقه على X
+
+356
+00:34:08,370 --> 00:34:15,010
+واحد أول إشي F of X واحد بساوي اللي هو F of X not
+
+357
+00:34:15,010 --> 00:34:22,550
+زائد F prime of X not في X واحد نقص X not زائد مين
+
+358
+00:34:22,550 --> 00:34:26,950
+الآن الـ remainder زائد الـ remainder الـ remainder
+
+359
+00:34:26,950 --> 00:34:33,950
+إيش هو F double prime عند الـ C واحد اللي لاجيناها
+
+360
+00:34:33,950 --> 00:34:41,390
+في X نقص X not الكل تربيع على 2 factorial أصغر من
+
+361
+00:34:41,390 --> 00:34:48,530
+اللي هو similarly there exist c2 بتطبقها على x1
+
+362
+00:34:48,530 --> 00:34:57,090
+على x2 و x0 there exist a c2 between x2 and x0
+
+363
+00:34:57,090 --> 00:35:07,070
+such that of x2 بيساوي f of x0 زائد f prime of x0 في
+
+364
+00:35:07,070 --> 00:35:17,690
+x2 نقص x0 زائد f double prime of c2 في x نقص x0
+
+365
+00:35:17,690 --> 00:35:24,950
+الكل تربيع على 2 factorial واضح اللي بعمله
+
+366
+00:35:28,900 --> 00:35:37,440
+فهي عندي اللي هي هذه مع هذه هي اللي بدي استخدمه
+
+367
+00:35:37,440 --> 00:35:43,500
+هنا الآن في الوصول لإنه F is convex يعني F of هذا
+
+368
+00:35:43,500 --> 00:35:49,180
+المقدار يكون أصغر أو يساوي اللي هو F 1 نقص T
+
+369
+00:35:49,180 --> 00:35:56,920
+فهذه زائد T فهذه إذا بدي أحسب الآن 1 نقص T ف F
+
+370
+00:35:56,920 --> 00:36:05,420
+of X 1 زائد T في F of إيش X2 بدي أحسبها وأوصلها
+
+371
+00:36:05,420 --> 00:36:09,08
+
+401
+00:40:00,190 --> 00:40:07,950
+note ناقص x note ناقص x note عملها كمان مرة بظل
+
+402
+00:40:07,950 --> 00:40:15,160
+ناقص x note من هنا ومن هنا بيظهر مين ناقص X note
+
+403
+00:40:15,160 --> 00:40:21,640
+لأنه بتظهر تبعت اللي هنا تظهر ناقص X note واضح أه؟
+
+404
+00:40:21,640 --> 00:40:28,760
+الآن هذه كلها على بعض مين هي؟ هذه إيش اسمها؟ كلها
+
+405
+00:40:28,760 --> 00:40:32,900
+اسمها X note أه؟
+
+406
+00:40:32,900 --> 00:40:36,960
+فبيصير X note ناقص X note إيش بيصير؟ صفر فبيصير
+
+407
+00:40:36,960 --> 00:40:41,560
+هذا المقدار عبارة عن F of x naught زائد ال
+
+408
+00:40:41,560 --> 00:40:45,380
+remainder مين؟ R نتطلع على الـ R هذا أو هو R لما
+
+409
+00:40:45,380 --> 00:40:48,000
+نقول remainder؟ الـ R مجموع الـ remainder  دلّين
+
+410
+00:40:48,000 --> 00:40:58,960
+الآن ملاحظ هو ما أعطيني عندي الآن أفضل برهان عندي
+
+411
+00:40:58,960 --> 00:41:05,340
+هذا X ناقص X واحد الكل تربيع على اثنين موجبة و X ناقص
+
+412
+00:41:05,340 --> 00:41:10,330
+X اثنين نوت على اثنين شمالها موجبة والآن ال f
+
+413
+00:41:10,330 --> 00:41:15,510
+double prime عندي اللي هتطلع شمالها موجبة بنفس
+
+414
+00:41:15,510 --> 00:41:21,550
+الطريقة السابقة زي ما عملنا قبل شوية عندي f double
+
+415
+00:41:21,550 --> 00:41:27,310
+prime أكبر يساوي صفر هيطلع عندي في الجوار اللي
+
+416
+00:41:27,310 --> 00:41:30,610
+بطبق عليه برضه أكبر يساوي صفر فبيطلع عندي هذا موجب
+
+417
+00:41:30,610 --> 00:41:35,690
+و هذا موجب فبيطلع عندي هذا المقدار اللي بدأنا فيه
+
+418
+00:41:36,380 --> 00:41:41,720
+هذا المقدار اللي بدأنا فيه طلع بيساوي هذا المقدار
+
+419
+00:41:41,720 --> 00:41:49,760
+اللي هو هذا أكبر أو يساوي F of X naught اللي هي
+
+420
+00:41:49,760 --> 00:41:57,540
+mean F of X naught اللي عبارة عن F معين واحد ناقص T
+
+421
+00:41:57,540 --> 00:42:07,040
+في X واحد زائد T في X اثنين هاي اللي وصلنا إليها مع
+
+422
+00:42:07,040 --> 00:42:21,020
+هذا وهذا تعريف إيه؟ F is convex F is convex أي
+
+423
+00:42:21,020 --> 00:42:21,680
+سؤال؟
+
+424
+00:42:24,290 --> 00:42:29,090
+و بهيك نكون خلصنا ال section اللي الأخير في
+
+425
+00:42:29,090 --> 00:42:34,250
+chapter اللي هو 6 خلصنا الجزء الأول من المحاضرة و
+
+426
+00:42:34,250 --> 00:42:37,250
+الآن بدنا نبدأ في الجزء الثاني من المحاضرة
diff --git a/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/xgo_ibuk2Tw_raw.srt b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/xgo_ibuk2Tw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..70ade4c86e177df137c65f02146613063557775b
--- /dev/null
+++ b/PL9fwy3NUQKwbxj_Y7aSVHQBzhMp9X9OOe/xgo_ibuk2Tw_raw.srt
@@ -0,0 +1,2540 @@
+1
+00:00:05,620 --> 00:00:11,560
+بسم الله الرحمن الرحيم المحاضرة الثالثة في مساق
+
+2
+00:00:11,560 --> 00:00:19,660
+تحليل رياضي 2 أو تحليل حقيقي 2 كلية العلوم قسم
+
+3
+00:00:19,660 --> 00:00:28,520
+الرياضيات بالجامعة الإسلامية مراجعة سريعة لما تم
+
+4
+00:00:28,520 --> 00:00:34,380
+في المحاضرة السابقة والتي قبلهاحكينا عن شو معناته
+
+5
+00:00:34,380 --> 00:00:37,500
+اللي هو الـ derivative قلنا f prime of c عند نقطة
+
+6
+00:00:37,500 --> 00:00:41,760
+c لو كانت f function من i لعند ال r هو عبارة عن
+
+7
+00:00:41,760 --> 00:00:49,200
+limit f of x نقص f of c على x minus c لما x تروح
+
+8
+00:00:49,200 --> 00:00:53,460
+أو تقول ل c قلنا لو كانت ال limit exist هذه بنقول
+
+9
+00:00:53,460 --> 00:00:56,740
+إنه ال derivative موجودة بنرمزلها بالرمز f prime
+
+10
+00:00:56,740 --> 00:01:02,600
+of cأخدنا بعيدة اللي هو نظرية قولنا لو كانت f is
+
+11
+00:01:02,600 --> 00:01:11,860
+differentiable at c then it is continuous at c
+
+12
+00:01:11,860 --> 00:01:15,320
+قولنا the converse need not to be true in general
+
+13
+00:01:15,320 --> 00:01:20,100
+وأخدنا مثال على هيك قولنا خد ال f of x بسوء ال
+
+14
+00:01:20,100 --> 00:01:23,560
+absolute value لل x is continuous اللي هو
+
+15
+00:01:23,560 --> 00:01:26,880
+everywhere but it is not differentiable at zero
+
+16
+00:01:27,430 --> 00:01:30,590
+واخدنا مثال آخر قولنا f of x بيساوي ال summation
+
+17
+00:01:30,590 --> 00:01:36,090
+لل x ناقص ci i من عند 1 لعند n قولنا هذا ال
+
+18
+00:01:36,090 --> 00:01:39,210
+function is continuous everywhere but it is not
+
+19
+00:01:39,210 --> 00:01:43,250
+differentiable at the corner points which are c1,
+
+20
+00:01:43,350 --> 00:01:49,170
+c2 لعند ال cl و بعدين أخدنا مثال f of x بيساوي ال
+
+21
+00:01:49,170 --> 00:01:56,590
+summation 1 على 2 to the n cosinecos 3 أُس N X N
+
+22
+00:01:56,590 --> 00:02:01,690
+من واحد إلى ملا نهاية قلنا إن الـ function is
+
+23
+00:02:01,690 --> 00:02:07,750
+continuous everywhere but it is not differentiable
+
+24
+00:02:07,750 --> 00:02:16,850
+anywhere الـ function متصلة دائما لكن ليس لها أي
+
+25
+00:02:16,850 --> 00:02:22,760
+derivative عند أي نقطة من النقاط دومينابعد هيك
+
+26
+00:02:22,760 --> 00:02:28,500
+أخدنا اللي هو .. اللي هو نظرية اللي هي بنحكي فيها
+
+27
+00:02:28,500 --> 00:02:34,950
+عن خواص اللي هي التفاضل قلنا لو كانت ال Fوالـ G
+
+28
+00:02:34,950 --> 00:02:39,370
+are differentiable اللي هو كان من I لعند R
+
+29
+00:02:39,370 --> 00:02:44,730
+differentiable عند نقطة C بيكون مجموعة Alpha F حيث
+
+30
+00:02:44,730 --> 00:02:49,570
+Alpha اللي هو عبارة عن constant Alpha F' موجودة
+
+31
+00:02:49,570 --> 00:02:57,230
+وبتساوي Alpha في F' عند نقطة Cو بعدين قلنا أن f زي
+
+32
+00:02:57,230 --> 00:03:03,290
+g أو نقص prime of c برضه exist بسوء f prime of c
+
+33
+00:03:03,290 --> 00:03:09,390
+زي أو نقص g prime of c هذه من الخواصل هو ال
+
+34
+00:03:09,390 --> 00:03:15,040
+derivative و أيضا قلنااللي هو الخواص الأخرى أنه
+
+35
+00:03:15,040 --> 00:03:21,000
+الـ F في G الكل prime عنده نقطة C حاصل ضرر دلتين
+
+36
+00:03:21,000 --> 00:03:28,400
+بساوي اللي هو F primeof c في g of c زائد f of c في
+
+37
+00:03:28,400 --> 00:03:33,320
+g prime of c ومن ثم أخدنا أيضًا اللي هو
+
+38
+00:03:54,080 --> 00:03:59,480
+و من ثم أيضا حكينا عن اللي هو اخدنا اللي هو ال
+
+39
+00:03:59,480 --> 00:04:04,540
+chain rule theorem ال chain rule لو كانت F من I
+
+40
+00:04:04,540 --> 00:04:12,080
+لعند ال R و G من عند ال J لعند ال R حيث ال F of I
+
+41
+00:04:12,080 --> 00:04:15,780
+subset من ال J عشان نعرف اللي هو ال composition
+
+42
+00:04:15,780 --> 00:04:19,480
+قلنا لو كانت F is differentiable و G is
+
+43
+00:04:19,480 --> 00:04:23,890
+differentiable يعني F is differentiable عند Cis
+
+44
+00:04:23,890 --> 00:04:32,470
+differentiable at c and g is differentiable at f
+
+45
+00:04:32,470 --> 00:04:39,210
+of c then the composition اللي هو ال general يعني
+
+46
+00:04:39,210 --> 00:04:44,490
+التفاضل ال composition the composition تفاضله كما
+
+47
+00:04:44,490 --> 00:04:55,650
+يلي then fcomposite G prime of C بساوة F prime عند
+
+48
+00:04:55,650 --> 00:05:02,070
+G of C في G prime of C هذا اللي حكينا عنه المرة
+
+49
+00:05:02,070 --> 00:05:06,830
+الماضية وأيضا أخدنا طبعا أمثلة على هيك وأخدنا
+
+50
+00:05:06,830 --> 00:05:15,030
+نظرية أخرى اللي هي لو كانت عند F من عند I لعند R
+
+51
+00:05:15,030 --> 00:05:17,730
+قلنا is strictly
+
+52
+00:05:25,190 --> 00:05:31,450
+monotone and continuous
+
+53
+00:05:31,450 --> 00:05:41,770
+وكانت اللي هو G من عند J لعند I برضه strictly is
+
+54
+00:05:41,770 --> 00:05:55,620
+strictly monotone andcontinuous قلنا هنا at C وهنا
+
+55
+00:05:55,620 --> 00:06:06,340
+continuous at F of C حيث اللي هو الـ G بتساوي F of
+
+56
+00:06:06,340 --> 00:06:12,180
+mean of I عشان نقدر نعرف اللي هو تكون inverse is
+
+57
+00:06:12,180 --> 00:06:17,640
+strictly monotone and continuous where G
+
+58
+00:06:19,450 --> 00:06:28,790
+is the inverse of F، مظبوط؟ طبعاً، اللي بضماننا إن
+
+59
+00:06:28,790 --> 00:06:31,070
+ال inverse موجود إن هو strictly إيش؟ معناها
+
+60
+00:06:31,070 --> 00:06:33,490
+monotone، strictly monotone سواء increasing أو
+
+61
+00:06:33,490 --> 00:06:37,090
+decreasing، معناته one to one معناته إن هو اللي هي
+
+62
+00:06:37,090 --> 00:06:41,030
+ال inverse موجودة من اللي هو F of I اللي هي J،
+
+63
+00:06:41,030 --> 00:06:44,610
+لعند مين؟ لعند ال I، وهذه ال J في الواقع كل عنها
+
+64
+00:06:44,610 --> 00:06:52,800
+مين؟ هي ال F inverseالآن الشرط أنه if F is
+
+65
+00:06:52,800 --> 00:07:03,640
+differentiable at C at C then اللي هي G اللي هي
+
+66
+00:07:03,640 --> 00:07:07,280
+الـ F inverse دي في الواقع F inverse اللي سمناها
+
+67
+00:07:07,280 --> 00:07:14,020
+مين؟ F inverse لازم تكون differentiable at F of C
+
+68
+00:07:14,020 --> 00:07:15,660
+and
+
+69
+00:07:18,190 --> 00:07:23,390
+اللي سمناها F of C في حين وده بتتذكره D اللي هي
+
+70
+00:07:23,390 --> 00:07:35,170
+and F prime أو F inverse prime at this D بتساوي
+
+71
+00:07:35,170 --> 00:07:44,930
+واحد على F prime of C أو بمعنى آخر بتساوي واحد على
+
+72
+00:07:44,930 --> 00:07:53,880
+F primeF of C بيساوي D يعني C بيساوي G of D أو F
+
+73
+00:07:53,880 --> 00:07:59,600
+inverse of D اللي هي يعني composite G الكل أفمين
+
+74
+00:07:59,600 --> 00:08:13,970
+of C واضح هاه F of مين of Dقلنا بعدين اللي هو in
+
+75
+00:08:13,970 --> 00:08:18,530
+general لو كانت اللي هي هذه تحت الشروط هذه بس الآن
+
+76
+00:08:18,530 --> 00:08:24,430
+مش عند اللي هو نقطة لو F is differentiable على كل
+
+77
+00:08:24,430 --> 00:08:29,470
+ال I هتكون ال G is differentiable على ال J و
+
+78
+00:08:29,470 --> 00:08:36,110
+العلاقة بينهم زي ما حكينا المرة الماضية هتكون اللي
+
+79
+00:08:36,110 --> 00:08:43,620
+هوطب هالمرة F is differentiable on I then G is
+
+80
+00:08:43,620 --> 00:08:47,280
+differentiable on J اللي هي بساوة F of I طبعا تحت
+
+81
+00:08:47,280 --> 00:08:55,140
+هذا الشروط and هيكون F inverse prime of Y بساوة 1
+
+82
+00:08:55,140 --> 00:09:01,330
+على F prime of Xحيث العلاقة بين Y و X اللي هي Y
+
+83
+00:09:01,330 --> 00:09:08,050
+بتساوي F of X أو بتعبير آخر بتساوي 1 على F prime
+
+84
+00:09:08,050 --> 00:09:13,630
+of composite G اللي هي بتسميها F inverse كله of
+
+85
+00:09:13,630 --> 00:09:23,790
+mean of Y هذا اللي حكينا المرة الماضية نيجي
+
+86
+00:09:23,790 --> 00:09:26,510
+الآن نكمل
+
+87
+00:09:27,590 --> 00:09:33,710
+وصلنا عند المثال اللي هو 6 1 10 وقلنا لو كانت عند
+
+88
+00:09:33,710 --> 00:09:41,270
+g of y example وقفنا عند ال example التالي g of y
+
+89
+00:09:41,270 --> 00:09:48,710
+بتساوي y أسواحدة ل n for y element in j اللي هي
+
+90
+00:09:48,710 --> 00:09:54,970
+عبارة عن ال interval من zero ل infinity الآن بقول
+
+91
+00:09:54,970 --> 00:10:03,260
+show thatG prime of Y بتساوي 1 على N Y أس 1 على N
+
+92
+00:10:03,260 --> 00:10:12,580
+ناغس 1 حيث N is even solution نيجي الأن نحل تطبيق
+
+93
+00:10:12,580 --> 00:10:20,240
+على ال theorem الأخيرة اللي هو ناخد inverse لهذه
+
+94
+00:10:20,240 --> 00:10:25,750
+طبعا واضح أن ال inverse لو قلنا let F of Xبساوي X
+
+95
+00:10:25,750 --> 00:10:30,230
+أُس N هذا عبارة عن polynomial أو اللي هو دالة
+
+96
+00:10:30,230 --> 00:10:35,170
+أُسية أو جزء من polynomial عند X أُس N طبعاً لأي X
+
+97
+00:10:35,170 --> 00:10:39,350
+في الفترة 01 هذا is differentiable ومش هيك كمان
+
+98
+00:10:39,350 --> 00:10:42,910
+ومدامة الـ N even في الفترة هذه strictly
+
+99
+00:10:42,910 --> 00:10:46,580
+increasingده الـ Strict increase in continuous ده
+
+100
+00:10:46,580 --> 00:10:50,860
+كل .. كل أمورها متحققة اللي قبل بشوية في النظرية
+
+101
+00:10:50,860 --> 00:10:56,000
+فالآن و هذه عبارة عن ال inverse لمين؟ للـ G فبكون
+
+102
+00:10:56,000 --> 00:11:04,540
+الآن G prime of Y إيش هتساوي؟ بتساوي 1 على F prime
+
+103
+00:11:04,540 --> 00:11:11,410
+عند G of Yمظبوط ولا لا؟ Y ساوي الان ال F prime هنا
+
+104
+00:11:11,410 --> 00:11:15,930
+واضح اللي هي N X أس N نقص واحد يعني عبارة عن واحد
+
+105
+00:11:15,930 --> 00:11:22,070
+على بدل ال X إيش هحط؟ G of Y لأن هذا F prime of X
+
+106
+00:11:22,070 --> 00:11:26,290
+بساوي N X N نقص واحد طب F prime of G Y هي عبارة عن
+
+107
+00:11:26,290 --> 00:11:33,870
+G of Y أس N نقص واحد مضروبة في مين؟ في ال N Y ساوي
+
+108
+00:11:35,600 --> 00:11:43,600
+1 على N في G of Y إيش هي عبارة عن Y أس 1 على N
+
+109
+00:11:43,600 --> 00:11:49,640
+فبيصير اللي هو هذي بالمرة نرفحها بعد إذنكم G of Y
+
+110
+00:11:49,640 --> 00:11:59,620
+أس 1 ناقص N ويساوي إن عوض 1 على N في Yأس واحد على
+
+111
+00:11:59,620 --> 00:12:07,260
+N أس واحد ناقص N ويساوي واحد على N Y أس واحد على N
+
+112
+00:12:07,260 --> 00:12:12,660
+ناقص واحد وهو المطلوب هذه اللي هي تطبيق مباشرة على
+
+113
+00:12:12,660 --> 00:12:17,580
+النظرية السابقة الآن تطبيق آخر مثال آخر أيضا مثال
+
+114
+00:12:17,580 --> 00:12:20,380
+يعني شبيه بالأمثل اللي كنتوا تاخدوه في ال calculus
+
+115
+00:12:20,380 --> 00:12:29,610
+المثال دي اللي بناخده اللي هو Y بتساوي صين ال Xو
+
+116
+00:12:29,610 --> 00:12:37,590
+الـ x في ناقص πي على اتنين لعين باي على اتنين الآن
+
+117
+00:12:37,590 --> 00:12:43,470
+بقوللي اثبت انه sign inverse prove that اللي هو
+
+118
+00:12:43,470 --> 00:12:54,110
+show that sign inverse لل Y بتساوي واحد على جدر
+
+119
+00:12:54,110 --> 00:12:57,750
+التربيع لواحد ناقص مين Y تربيع
+
+120
+00:13:00,300 --> 00:13:04,160
+prime اه اه ال derivative لل sign inverse ايش
+
+121
+00:13:04,160 --> 00:13:06,840
+بتساوي واحدة الجدر تربيعه لو واحد نقص Y تربيعه
+
+122
+00:13:06,840 --> 00:13:10,940
+برضه تطبيق مباشر خلينا نشوف كيف نطبق على النظرية
+
+123
+00:13:10,940 --> 00:13:20,000
+ناخد let F of X اللي هو بيساوي sign ال X عشان عند
+
+124
+00:13:20,000 --> 00:13:24,500
+G of Y او عند F of X بيساوي sign ال X اللي بتسميها
+
+125
+00:13:24,500 --> 00:13:31,610
+Y يعني الآن بتصير عند G of Y ايش بتساويSin Inverse
+
+126
+00:13:31,610 --> 00:13:37,790
+لمن؟ لـ Y معايا يا شباب، أه؟ لأن حسب الـ F of X
+
+127
+00:13:37,790 --> 00:13:41,510
+بساعة و شوية إن الـ X الـ X في الفترة ناقص Y على 2
+
+128
+00:13:41,510 --> 00:13:47,690
+و Y على 2 الـ Y القيمة المقابلة إليها هتكون بين
+
+129
+00:13:47,690 --> 00:13:54,560
+ناقص 1 و 1لكن لاحظ الآن لما أشتق المشتقة لازم تكون
+
+130
+00:13:54,560 --> 00:13:58,380
+لا تساوي صفر في الفترة هذه ففي الفترة هذه اللي هي
+
+131
+00:13:58,380 --> 00:14:02,900
+المشتقة طبعا لهذه اللي هي عبارة عن cosine فهتكون
+
+132
+00:14:02,900 --> 00:14:06,900
+اللي هي ال X بس في ال open interval من ناقص y على
+
+133
+00:14:06,900 --> 00:14:11,540
+2 على y على 2 عساس ما نجسمش عالميا على الصفر إذا
+
+134
+00:14:11,540 --> 00:14:17,620
+الآن صار عندي G prime of Yنفسي اللي عملناه فوق،
+
+135
+00:14:17,620 --> 00:14:23,720
+إيش بتساوي؟ واحد على F prime of G of Y Y ساوي،
+
+136
+00:14:23,720 --> 00:14:28,880
+واحد F .. اللي هي مين الأن F prime؟ اللي هي cosine
+
+137
+00:14:28,880 --> 00:14:36,320
+اللي هو G of Y، مظبوط؟ وال cosine احنا إيش؟ عبارة
+
+138
+00:14:36,320 --> 00:14:39,160
+عن إيش؟ عبارة عن إيش تكون؟ عبارة عن الجدر
+
+139
+00:14:39,160 --> 00:14:44,080
+التربيعي؟ لا، طبعا ال cosine X إيش بتساوي؟ هذا
+
+140
+00:14:44,080 --> 00:14:52,100
+عبارة عن X، مظبوط؟هو الجدر التربيعي؟ لا، واحد ناقص
+
+141
+00:14:52,100 --> 00:14:57,980
+sign تربيع الـ X اللي هي G of Y، مظبوط؟ معايا يا
+
+142
+00:14:57,980 --> 00:15:03,200
+شبابY ساوي واحد على جدر التربيع إلى واحد ناقص Y
+
+143
+00:15:03,200 --> 00:15:08,940
+تربيع و Y في الفترة ناقص باي على اتنين و باي على
+
+144
+00:15:08,940 --> 00:15:13,800
+اتنين اللي هي الـ X و اللي موجودة أسفل X في ناقص
+
+145
+00:15:13,800 --> 00:15:16,560
+باي على اتنين و باي على اتنين و الـ Y في الفترة
+
+146
+00:15:16,560 --> 00:15:21,640
+ناقص واحد و واحد حتى نتجنب القسمة عالميا على اللي
+
+147
+00:15:21,640 --> 00:15:25,380
+هو الصفر هذا التطبيق على النظرية
+
+148
+00:15:27,410 --> 00:15:30,770
+ال homework عندنا تلاتة أو أربعة أو سبعة أو تسعة
+
+149
+00:15:30,770 --> 00:15:34,250
+أو تلاتاش من section 6-1 ان شاء الله المرة الجاية
+
+150
+00:15:34,250 --> 00:15:39,510
+أو اللي بعدها بنحاول نعمل discussion فيا ريت اللي
+
+151
+00:15:39,510 --> 00:15:44,410
+هو أنكم اتحلوا الأسئلة و اللي بتعرفوش اتحلوا او
+
+152
+00:15:44,410 --> 00:15:50,880
+بدكم نذاك بنحلو ان شاء اللهنيجي الآن لصفحة
+
+153
+00:15:50,880 --> 00:15:53,800
+اللي بعدي ده اللي هو ال section التاني ممكن هيكنا
+
+154
+00:15:53,800 --> 00:15:58,460
+هنا ستة واحد الآن هنبدأ في ال section التاني اللي
+
+155
+00:15:58,460 --> 00:16:02,380
+هو ال main value theorem وهو محاضرة اليوم بشكل
+
+156
+00:16:02,380 --> 00:16:06,740
+أساسي عالمي على the main value theorem ومتعلقات
+
+157
+00:16:06,740 --> 00:16:12,870
+هذه النظريةهنلاقي جدّاش مهمة هذه النظرية وجدّاش
+
+158
+00:16:12,870 --> 00:16:17,650
+فيه عندنا نتائج تتعلق إيه بها وإحنا يعني فعلا
+
+159
+00:16:17,650 --> 00:16:25,530
+بستعملها كثير وفعلا بتساعدنا اللي هو في اللي ده
+
+160
+00:16:25,530 --> 00:16:30,270
+يعني إذا رح أطلب لما حتى أخدنا ال Calculus كانت
+
+161
+00:16:30,270 --> 00:16:37,010
+اللي هي إلها تطبيقات واسعة وحنشوف الآن وين أهمية
+
+162
+00:16:37,680 --> 00:16:42,520
+هذه نظرية نظرية القيم المتوسطة من خلال الحديث أو
+
+163
+00:16:42,520 --> 00:16:47,080
+شرح حادي المادة الآن في الأول زي ما قلنا ال
+
+164
+00:16:47,080 --> 00:16:49,420
+section 6.2 the mean value theorem نيجي لل
+
+165
+00:16:49,420 --> 00:16:53,420
+definition الأول ال definition اللي هو مر علينا
+
+166
+00:16:53,420 --> 00:16:58,380
+اشي زيه أو مر علينا اللي هو تعريف ال local
+
+167
+00:16:58,380 --> 00:17:04,500
+extremum أو اللي هو relative extremumأو اللي هو
+
+168
+00:17:04,500 --> 00:17:07,460
+الـ local maximum أو الـ local minimum أو الـ
+
+169
+00:17:07,460 --> 00:17:10,840
+relative extremum أو الـ relative اللي هو الـ
+
+170
+00:17:10,840 --> 00:17:17,900
+minimum طبعاً بتعرفوا أن أنا بدي أعرف شو معناته دي
+
+171
+00:17:17,900 --> 00:17:24,480
+اللي هي النقطة عنده النقطة C في عند local .. local
+
+172
+00:17:24,480 --> 00:17:29,860
+maximum مثلا أو relative maximum بنقول في عند C
+
+173
+00:17:30,870 --> 00:17:35,370
+عندي function f من some interval I لعند R هاي الـ
+
+174
+00:17:35,370 --> 00:17:39,490
+function اللي عندي هنا من هنا لهنا بنقول C element
+
+175
+00:17:39,490 --> 00:17:48,430
+in I at C element in I we have a local أو relative
+
+176
+00:17:48,430 --> 00:18:00,820
+maximum when اللي هو there existsV Delta of C يعني
+
+177
+00:18:00,820 --> 00:18:05,800
+بنلاقي جوار حوالين الـ C بنصف قطر Delta C نقص
+
+178
+00:18:05,800 --> 00:18:12,060
+Delta of C زائد Delta في هذا الجوار such that
+
+179
+00:18:12,060 --> 00:18:20,320
+بتكون F of C هي أكبر قيمة للدالة F of C أكبر أو
+
+180
+00:18:20,320 --> 00:18:27,920
+سوى F of X لكل X في هذا الجوارإذا تحقق هذا الشرط
+
+181
+00:18:27,920 --> 00:18:35,840
+بنقول إن F has a relative maximum
+
+182
+00:18:35,840 --> 00:18:36,780
+at C
+
+183
+00:18:39,910 --> 00:18:45,290
+v delta neighborhood يعني جوار بنصف قطر دلتا بحيث
+
+184
+00:18:45,290 --> 00:18:50,590
+يتحقق أن ال f of c أكبر شو f of x لكل x في هذا
+
+185
+00:18:50,590 --> 00:19:01,850
+الجوار similarly بنقول at d element in I we have a
+
+186
+00:19:01,850 --> 00:19:11,870
+relative minimum whenthere exist أي جوار آخر بتكون
+
+187
+00:19:11,870 --> 00:19:17,390
+تسموه V Delta Prime أو V Delta of D such that يعني
+
+188
+00:19:17,390 --> 00:19:20,870
+بنلاقي .. بنقول هذه النقطة في عندها relative
+
+189
+00:19:20,870 --> 00:19:27,970
+minimum إذا كان لقينا جوار حواليهاهذه النقطة C D
+
+190
+00:19:27,970 --> 00:19:33,810
+وهذه D زائد Delta وهذه D نقص Delta في جوار حواليها
+
+191
+00:19:33,810 --> 00:19:38,670
+بتكون قيمة الدالة أصغر من كل القيم اللي حواليها
+
+192
+00:19:38,670 --> 00:19:45,210
+يعني اللي هو there exists V Delta of D such that F
+
+193
+00:19:45,990 --> 00:19:53,190
+of D أصغر أو ساوى F of X لكل X موجودة في V Delta
+
+194
+00:19:53,190 --> 00:20:01,370
+of D فهذه نسميها نقطة صغيرة محلية وهذه نسميها نقطة
+
+195
+00:20:01,370 --> 00:20:06,460
+عظمة محليةهذا معناته اللي هو الـ local maximum و
+
+196
+00:20:06,460 --> 00:20:10,340
+الـ local minimum أو زي ما هو مصطلح عليها ال
+
+197
+00:20:10,340 --> 00:20:14,580
+relative maximum و relative minimum لما بنقصد و
+
+198
+00:20:14,580 --> 00:20:20,880
+بنقول local extremum معناته يا local maximum أو
+
+199
+00:20:20,880 --> 00:20:24,520
+local minimum أو relative extremum يا relative
+
+200
+00:20:24,520 --> 00:20:30,120
+maximum يا relative minimumنجي الآن لنظريتنا
+
+201
+00:20:30,120 --> 00:20:33,720
+الأولى احنا كنا في ال calculus إذا بتتذكر و نسأل
+
+202
+00:20:33,720 --> 00:20:43,110
+سؤاللما بدنا نبحث في مسألة اللي هو الـ maximum و
+
+203
+00:20:43,110 --> 00:20:46,410
+الـ minimum سواء local maximum و local minimum أو
+
+204
+00:20:46,410 --> 00:20:50,230
+absolute maximum و absolute minimum كنا نسأل حالنا
+
+205
+00:20:50,230 --> 00:20:54,390
+سؤال طبعا مش معجول أنا بدي آجي كل نقاط ال domain
+
+206
+00:20:54,390 --> 00:20:57,990
+أفحص فيه عند maximum ولا minimum لأن نقاط ال
+
+207
+00:20:57,990 --> 00:21:01,170
+domain عدد لا نهائي uncountable number of points
+
+208
+00:21:01,170 --> 00:21:07,180
+في غالبهافإيش كنت حصرها؟ كنا نقول أين يمكن إيجاد
+
+209
+00:21:07,180 --> 00:21:12,480
+الـlocal maximum أو الـlocal minimum بعد ما نحدد
+
+210
+00:21:12,480 --> 00:21:17,100
+النقاط هذه بنقول يأتي الآن الفحص إنه هل هي local
+
+211
+00:21:17,100 --> 00:21:21,660
+maximum ولا local minimum إذن مسألة اللي هو إيجاد
+
+212
+00:21:21,660 --> 00:21:25,180
+ال maximum و ال minimum تبرع عبر خطوتين الخطوة
+
+213
+00:21:25,180 --> 00:21:31,380
+الأولى وين ممكن نلاقيهاوالخطوة الثانية اللي هي هل
+
+214
+00:21:31,380 --> 00:21:36,220
+هي فعلا local maximum ولا local minimum ولا لا
+
+215
+00:21:36,220 --> 00:21:40,500
+local maximum ولا local minimum اللي بده يشرعلنا
+
+216
+00:21:40,500 --> 00:21:45,130
+الإجابة الأولى هي النظرية هذهالنظرية هذه كنا كمان
+
+217
+00:21:45,130 --> 00:21:49,390
+نجاوب نقول الإجابة توجد الـlocal maximum أو
+
+218
+00:21:49,390 --> 00:21:53,030
+الـlocal minimum في أحد ثلاث مناطق إما F prime
+
+219
+00:21:53,030 --> 00:21:58,070
+بساوي سفر أو F prime does not exist كنقات داخلية
+
+220
+00:21:58,070 --> 00:22:03,410
+أو عند الـendpoints فكنا نحصرها في تلت أنهي مناطق
+
+221
+00:22:03,410 --> 00:22:07,530
+فبصير عدد النقاط اللي بدنا نفحص الـlocal max أو
+
+222
+00:22:07,530 --> 00:22:11,490
+الـlocal minimum عددها محدود وقليل بصير السؤال
+
+223
+00:22:11,490 --> 00:22:15,630
+مقدور عليهالان النظرية اللي بتتشرح علناها دي ايش
+
+224
+00:22:15,630 --> 00:22:23,390
+النظرية بتقول بتقول ما يليه اللي بتقوله ال theorem
+
+225
+00:22:23,390 --> 00:22:29,120
+اللي هيحتى اسمها اللي هي interior extremum theorem
+
+226
+00:22:29,120 --> 00:22:32,920
+interior extremum theorem يعني هنحكي عن ال
+
+227
+00:22:32,920 --> 00:22:38,020
+interior point بتقولي نفترض إن C عبارة عن نقطة
+
+228
+00:22:38,020 --> 00:22:43,400
+داخلية لمين ل some interval I C اللي هو إشمالة
+
+229
+00:22:43,400 --> 00:22:49,140
+نقطة داخلية ل I ال interval اللي عنديوعند الـ
+
+230
+00:22:49,140 --> 00:22:55,040
+function F من I لعند R لو فرضنا أن الـ function F
+
+231
+00:22:55,040 --> 00:23:02,000
+has a relative extremum at let's say element كده
+
+232
+00:23:02,000 --> 00:23:18,480
+if F has a relative extremum at C element in I0عند
+
+233
+00:23:18,480 --> 00:23:23,520
+C an interior point of the interval I at which F
+
+234
+00:23:23,520 --> 00:23:27,640
+has a relative extremum يعني مفترضين أنه في عندي
+
+235
+00:23:27,640 --> 00:23:33,140
+يا relative maximum يا relative minimum عند هذه
+
+236
+00:23:33,140 --> 00:23:43,660
+النقطة الداخلية ونفرض كمان أن F prime of C exist
+
+237
+00:23:43,660 --> 00:23:51,610
+تحت كل هذه الشروطلازم تطلع عند F prime of C ايش
+
+238
+00:23:51,610 --> 00:23:56,050
+بتساوي؟ بتساوي سفر يعني بمعنى اخر لو كانت النقطة
+
+239
+00:23:56,050 --> 00:24:00,690
+داخلية و النقطة هذه الـ derivative عندها موجودة
+
+240
+00:24:01,820 --> 00:24:05,280
+وكانت عندها relative maximum أو relative minimum
+
+241
+00:24:05,280 --> 00:24:09,280
+قطعاً هتكون الـ F prime إليها إيش بتساوي .. بتساوي
+
+242
+00:24:09,280 --> 00:24:12,960
+سفر يعني عند .. عند النقاط الداخلية اللي الـ F
+
+243
+00:24:12,960 --> 00:24:17,280
+prime إليها موجودة و بتشاويش سفر انساها و ماتبحثش
+
+244
+00:24:17,280 --> 00:24:20,780
+فيها قطعا فيش فيها لا relative maximum ولا
+
+245
+00:24:20,780 --> 00:24:25,750
+relative إيش .. minimumالآن هذه النظرية وكأنه
+
+246
+00:24:25,750 --> 00:24:31,810
+بتحكيلنا في داخلها أن النقاط اللي بتكون داخلية
+
+247
+00:24:31,810 --> 00:24:36,590
+واحتمال يكون عندها relative maximum و relative
+
+248
+00:24:36,590 --> 00:24:42,410
+minimum نوعين يا f prime مش موجودةأو الـ F' أيش
+
+249
+00:24:42,410 --> 00:24:48,190
+بتساوي؟ بتساوي 0 لأنه إذا كانت F' موجودة وقفقلها
+
+250
+00:24:48,190 --> 00:24:51,910
+relative maximum أو relative minimum وكانت النقطة
+
+251
+00:24:51,910 --> 00:24:56,710
+داخلية لازم الـ F' أيش ما لها تساوي 0 ولاحظ هنا إن
+
+252
+00:24:56,710 --> 00:25:02,190
+الحديث عن مين؟ عن النقاط الداخلية يعني من فحوة
+
+253
+00:25:02,190 --> 00:25:06,110
+الحديث هنا بنجاوب على سؤالنا، هذه اللي بتجاوبنا
+
+254
+00:25:06,110 --> 00:25:09,860
+على سؤالنا بتقولاللي هو الـ relative maximum أو
+
+255
+00:25:09,860 --> 00:25:13,880
+الـ relative minimum هتكون في أحد ثلاث مناطق يا F
+
+256
+00:25:13,880 --> 00:25:18,060
+prime does not exist يا F prime بالساوية سفر يا
+
+257
+00:25:18,060 --> 00:25:27,960
+end point واضح؟ أي سؤال؟ واضح أه؟ طيب، دي يجي
+
+258
+00:25:27,960 --> 00:25:36,550
+تبرهن النظريةالآن هو البروحان اللي مكتوب هنا we
+
+259
+00:25:36,550 --> 00:25:41,170
+prove for the case that F has relative maximum at
+
+260
+00:25:41,170 --> 00:25:45,150
+C هيه مكتوب أنا مابديش أبرهن ال maximum بتبرهنكم
+
+261
+00:25:45,150 --> 00:25:52,290
+مين ال minimum إذا الآن بدنا نفترض نفترض ال proof
+
+262
+00:25:52,290 --> 00:25:57,870
+خليني أكتب هنا ال proof بدي
+
+263
+00:25:57,870 --> 00:26:04,820
+أفترضC نقطة داخلية ونفترض إن F أشبهلها have a
+
+264
+00:26:04,820 --> 00:26:08,560
+relative minimum relative maximum محلولة لأن
+
+265
+00:26:08,560 --> 00:26:12,640
+suppose that
+
+266
+00:26:12,640 --> 00:26:21,020
+F has a relative maximum
+
+267
+00:26:21,020 --> 00:26:28,120
+at C element in I0 ماشي؟
+
+268
+00:26:37,000 --> 00:26:41,080
+نعم نفترض إنها minimum لأن ال case تبعت ال maximum
+
+269
+00:26:41,080 --> 00:26:47,860
+محلولةواضح؟ الان لو كان F as relative extremum
+
+270
+00:26:47,860 --> 00:26:52,160
+بدنا نصل الان extreme يابتكون maximum يابتكون
+
+271
+00:26:52,160 --> 00:26:56,440
+minimum case ال maximum هي مكتوبة بتجروها لحالكوا
+
+272
+00:26:56,440 --> 00:27:01,980
+نفس الفكرة ده أكتف بت mean F as a relative H
+
+273
+00:27:01,980 --> 00:27:08,360
+minimumالآن بدي أفترض لك أن الـ F' أي شمالها لا
+
+274
+00:27:08,360 --> 00:27:11,700
+تساوي صفر و أسألك لـ contradiction إذا الآن بدي
+
+275
+00:27:11,700 --> 00:27:18,780
+أفترض لك و بدي أقول لك suppose that F prime of C
+
+276
+00:27:18,780 --> 00:27:25,620
+لا تساوي أيش؟ صفر، ماشي الحال، إذا عندي two cases
+
+277
+00:27:25,620 --> 00:27:34,360
+ال case الأول أن F prime of C أكبر من أيش؟من صفر
+
+278
+00:27:34,360 --> 00:27:43,580
+ماشي الحال إذا الآن عندي limit f of x ناقص f of c
+
+279
+00:27:43,580 --> 00:27:50,340
+على x minus c as x بتروح ل c أشماله اللي هو هذا f
+
+280
+00:27:50,340 --> 00:27:57,040
+prime of c حسب المعطى إيش هيكون أكبر من صفر ماشي
+
+281
+00:27:57,040 --> 00:28:03,480
+الحال طيب الآن مدام ال f prime of c أكبر من صفرإذا
+
+282
+00:28:03,480 --> 00:28:07,700
+حسب نظرية قلنا قبل هيك إنه لو كانت ال limit لل
+
+283
+00:28:07,700 --> 00:28:12,800
+function أكبر من 0 هنلاقي جوار حوالين النقطة اللي
+
+284
+00:28:12,800 --> 00:28:16,660
+بدنا نروحلها يكون اللي هو قيمة اللي جوا ال limit
+
+285
+00:28:16,660 --> 00:28:21,780
+أكبر من 100 من 0 لأن كما قالي مدام ال limit هذا
+
+286
+00:28:21,780 --> 00:28:29,260
+أكبر من 0 then there exists Deltaأكبر من سفر أو V
+
+287
+00:28:29,260 --> 00:28:35,380
+Delta أكبر من سفر Such that اللي هو F of X نقص F
+
+288
+00:28:35,380 --> 00:28:43,400
+of C على X minus C أكبر من سفر لكل X وين موجودة في
+
+289
+00:28:43,400 --> 00:28:48,240
+الـ V Delta of C صح؟
+
+290
+00:28:48,240 --> 00:28:53,820
+هاي عندي احنا مفترضين إن هي أشملها relative
+
+291
+00:28:53,820 --> 00:28:57,940
+minimum خلّيني أشتغل على هذه المنطقةأساسي أن
+
+292
+00:28:57,940 --> 00:29:02,260
+تشوفوها على الرسم
+
+293
+00:29:02,260 --> 00:29:13,880
+يمكن تكون أوضح عندي هي النقطة C وهذا C ناقص Delta
+
+294
+00:29:13,880 --> 00:29:21,060
+وهذا C زائد Delta، راضح؟ الـ F of X ناقص F of Z
+
+295
+00:29:21,060 --> 00:29:24,000
+على X minus C أكبر من مين من سفر لكل X و الموجودة
+
+296
+00:29:24,000 --> 00:29:32,040
+في الـ V Delta of Cأه، الآن .. الآن عندي هو .. بدي
+
+297
+00:29:32,040 --> 00:29:37,020
+.. عندي أنا مفترض أنه اللي هو F هذا relative A
+
+298
+00:29:37,020 --> 00:29:45,580
+شماله minimum إذا في جوار .. في جوار بتكون F of C
+
+299
+00:29:45,580 --> 00:29:52,700
+أصغر أو ساوة F of X لكل X في هذا الجوار اللي هو V
+
+300
+00:29:52,700 --> 00:29:59,440
+Delta Prime of إيش؟ Of C، ماشي الحالالآن الـ Delta
+
+301
+00:29:59,440 --> 00:30:03,820
+هذه فيه Delta أكبر من 0 باخدها الـ Delta أصغر من
+
+302
+00:30:03,820 --> 00:30:08,840
+هذه بحكم فيها، فده بتنفع للـ Delta أكبر من هذه إن
+
+303
+00:30:08,840 --> 00:30:11,880
+هذا الكون المقدر لكل X في الـ V Delta يكون أكبر من
+
+304
+00:30:11,880 --> 00:30:17,100
+0، إذا بديجه، برضه بنفع، إذا بختار الـ Delta هذه
+
+305
+00:30:17,100 --> 00:30:20,420
+بناء على اختيار لهذه، فبتكون الـ Delta هذه أنا
+
+306
+00:30:20,420 --> 00:30:24,770
+بختارها أصغر أو سوء من الـ Delta primeماشي الحال
+
+307
+00:30:24,770 --> 00:30:28,770
+طيب إذا صار عندي F of X نقص F of C على X minus C
+
+308
+00:30:28,770 --> 00:30:34,970
+أكبر من 100 من 0 لكل X limited V Delta O of C
+
+309
+00:30:34,970 --> 00:30:38,090
+أذكركم مش بده أنا أنا بده أصل يكون contradiction
+
+310
+00:30:38,090 --> 00:30:45,050
+يعني بده أصل لنقاط في المكان هذا تتحققش هذه معايا؟
+
+311
+00:30:46,850 --> 00:30:48,790
+بدي أسأل ال contradiction كيف أسأل ال
+
+312
+00:30:48,790 --> 00:30:53,210
+contradiction؟ بدي أسأل ألاقي نقاط في المنطقة هذه
+
+313
+00:30:53,210 --> 00:30:59,750
+و هذه لا تتحقق شوف الآن عندي هذا المقدار إيش ماله؟
+
+314
+00:30:59,750 --> 00:31:07,730
+موجب، مظبوط ولا لأ؟ ماشي، الآن اللي بدي أخلي اللي
+
+315
+00:31:07,730 --> 00:31:13,830
+هي F of X minus F of C تظل أكبر من 0لأن لو خلّيتها
+
+316
+00:31:13,830 --> 00:31:19,210
+أكبر من صفر بيصير F أصغر من صفر بيصير F of X لما
+
+317
+00:31:19,210 --> 00:31:22,030
+صير أصغر من صفر بيصير أصغر من F of C بتبطّل أش
+
+318
+00:31:22,030 --> 00:31:28,650
+مالها عبارة عن minimum بتخلي
+
+319
+00:31:28,650 --> 00:31:35,130
+هذا المقدار أصغر من أش من صفر بدون هذا أه؟ بيصير F
+
+320
+00:31:35,130 --> 00:31:41,120
+of X أصغر من F of C بيصير F of Z مش minimumواضح؟
+
+321
+00:31:41,120 --> 00:31:45,560
+طيب إيش اللي بده يخليلي هذا أصغر من 0 هذا المقدار
+
+322
+00:31:45,560 --> 00:31:52,560
+أصغر من 0 أني أضرب أعمل choose x بحيث أنه يكون هذا
+
+323
+00:31:52,560 --> 00:31:57,380
+سالب وإن هيكون سالب x minus c بختار اللي هي x
+
+324
+00:31:57,380 --> 00:32:01,680
+minus c بختار x وإن ما أقول بقول choose x element
+
+325
+00:32:01,680 --> 00:32:07,240
+أن c نقص دلتة وc فاشي الحال then
+
+326
+00:32:09,590 --> 00:32:15,310
+اللي هو لما اخترت الـ X هنا هيكون الـ X minus C
+
+327
+00:32:15,310 --> 00:32:20,570
+أصغر من 0 مدام صار الـ X minus C أصغر من 0 وهذا
+
+328
+00:32:20,570 --> 00:32:26,630
+أكبر من 0 معطى من التنتين مع بعض بيصير عند X minus
+
+329
+00:32:26,630 --> 00:32:37,630
+C في F of X minus F of C على X minus Cأصغر من 0،
+
+330
+00:32:37,630 --> 00:32:43,370
+اللي هو هذا في الواقع مين؟ هو عبارة عن F of X ناقص
+
+331
+00:32:43,370 --> 00:32:47,210
+F of C صار الـ F of X minus F of C، لأن هذا بتروح
+
+332
+00:32:47,210 --> 00:32:50,690
+محدد، لأنه مش سفر، بصير F of X ناقص F of C أصغر من
+
+333
+00:32:50,690 --> 00:32:57,150
+0، معناته صار F of X أصغر من F of C، هذا لمين؟
+
+334
+00:32:57,150 --> 00:33:02,050
+للنقطة X اللي في هذا الجوار، يعني اللي لجأت نقطة
+
+335
+00:33:02,050 --> 00:33:04,790
+في هذا الجوار، لا تحقق هذا
+
+336
+00:33:07,600 --> 00:33:15,160
+هذا contradiction طيب اللي ما وضحتلوش هذه خلّينا
+
+337
+00:33:15,160 --> 00:33:19,780
+نوضحها في الحالة التانية هذا في حالة مين أه في
+
+338
+00:33:19,780 --> 00:33:24,440
+prime و في c أشمالها أكبر من سفر الآن بدأ أقول
+
+339
+00:33:24,440 --> 00:33:31,000
+suppose that الحالة التانية كاس اتنينيعني اللي
+
+340
+00:33:31,000 --> 00:33:37,320
+بقوله في حالة فرضت F prime لا تساوي سفر هأصل دائما
+
+341
+00:33:37,320 --> 00:33:41,200
+لتناقض F prime أكبر من سفر حصل لتناقض وصلت لتناقض
+
+342
+00:33:41,200 --> 00:33:47,060
+والآن حالة F prime of C أصغر من سفر برضه حصل لمين؟
+
+343
+00:33:47,460 --> 00:33:51,860
+لطلاقط ماشي الحال الان ايش معناه f prime of c أكبر
+
+344
+00:33:51,860 --> 00:33:58,040
+من 0 بنفس الأسلوب limit f of x ناقص f of c على x
+
+345
+00:33:58,040 --> 00:34:03,860
+minus c as x بتروح لل c برضه ايش ماله أصغر من 0
+
+346
+00:34:03,860 --> 00:34:09,820
+إذا في جوار there exist v delta of x و باخد ال
+
+347
+00:34:09,820 --> 00:34:13,500
+delta اللي هي delta prime بقدر أخدها و أصغر يساوي
+
+348
+00:34:13,500 --> 00:34:20,950
+ال delta prime by such thatاللي هو f of x ناقص f
+
+349
+00:34:20,950 --> 00:34:27,310
+of c على x minus c أصغر من مين؟ من 0 الآن اللي
+
+350
+00:34:27,310 --> 00:34:31,430
+بيوصلني لتناقض هتلاقيها مش choosing x هنا و انا
+
+351
+00:34:31,430 --> 00:34:35,450
+هاختارها في الجهة التانية في الجهة بتشوف كيف لأن
+
+352
+00:34:35,450 --> 00:34:43,570
+بيقول choose x element in c و c زائد delta then
+
+353
+00:34:47,030 --> 00:34:54,130
+هيكون عندى الآن الـ X minus C إيش ماله أكبر من 0
+
+354
+00:34:54,130 --> 00:35:00,610
+واضح أه؟لأن هذا أكبر من صفر وهذا أكبر أصغر من صفر
+
+355
+00:35:00,610 --> 00:35:07,110
+ثم اللي هي F of X ناقص F of C اللي هي بتساوي X
+
+356
+00:35:07,110 --> 00:35:10,670
+minus C اللي هي أكبر من صفر في المقدار اللي هو F
+
+357
+00:35:10,670 --> 00:35:15,390
+of X ناقص F of C على X minus C اللي هو أصغر من صفر
+
+358
+00:35:15,390 --> 00:35:19,430
+حصل أصغر من صفر وأكبر من صفر حيكون أصغر من صفر
+
+359
+00:35:19,430 --> 00:35:26,680
+ومنه henceF of X أصغر من F of C لنقطة في هذا
+
+360
+00:35:26,680 --> 00:35:30,720
+الجوار اللي هو باخدها very close to C يعني معناته
+
+361
+00:35:30,720 --> 00:35:35,040
+هتكون في داخل هذا الجوار لجهة نقطة بحيث أنه F of C
+
+362
+00:35:35,040 --> 00:35:41,540
+أكبر من F of X which is a contradiction thereforeF
+
+363
+00:35:41,540 --> 00:35:47,240
+prime of C must equal zero إذن بيكون أثبتنا إن لو
+
+364
+00:35:47,240 --> 00:35:52,000
+كان في عندي local minimum عند ال interior point C
+
+365
+00:35:52,000 --> 00:35:59,200
+إذن اللي هي بتكون ال F prime of C بالساعة سفر طبعا
+
+366
+00:35:59,200 --> 00:36:04,660
+لاحظوا أنا كل الجوارات اللي أخدت هنا ال V Delta و
+
+367
+00:36:04,660 --> 00:36:09,010
+V Delta prime كل في داخل الintervalعشان هيك هو
+
+368
+00:36:09,010 --> 00:36:12,850
+طبعا هو كاتب تقاطع ال .. بكتب تقاطع ال subset من
+
+369
+00:36:12,850 --> 00:36:17,450
+ال interval لأن كل اللي بشتغله وين بشتغله؟ جوات ال
+
+370
+00:36:17,450 --> 00:36:25,510
+interval أي سؤال؟ اللي هو؟
+
+371
+00:36:25,510 --> 00:36:33,890
+تكمّل
+
+372
+00:36:33,890 --> 00:36:38,810
+يعني f of c أقل من f of xدقيقة بس هنكتب اللي
+
+373
+00:36:38,810 --> 00:36:45,870
+بتقوله عشان اللي بشوف تصويرنا و بسمع كل معاناه
+
+374
+00:36:45,870 --> 00:36:49,050
+أيوة
+
+375
+00:36:49,050 --> 00:36:54,330
+يا محمد قول أصغر
+
+376
+00:36:54,330 --> 00:37:02,390
+يسوي F of X لكل X في V Delta of Z F
+
+377
+00:37:02,390 --> 00:37:12,690
+of C معقص F of Xأصغر من 0 مش
+
+378
+00:37:12,690 --> 00:37:22,070
+مشكلة limit
+
+379
+00:37:22,070 --> 00:37:31,690
+f of x نقص f of c على x minus c لما x تروح ل c من
+
+380
+00:37:31,690 --> 00:37:36,360
+اليسارمعناته الـ X أكبر من الـ C إذاً هذه صارت
+
+381
+00:37:36,360 --> 00:37:41,080
+موجبة هذه موجبة و هذه موجبة ده بتكون أشماله أكبر
+
+382
+00:37:41,080 --> 00:37:48,060
+من سفر أكبر أو يساوي سفر similarly limit F of X
+
+383
+00:37:48,060 --> 00:37:54,380
+ناقص F of C على X minus C لما X تروح ل C من اليسار
+
+384
+00:37:54,380 --> 00:38:00,110
+اللي هو هذه اللي هي أصغر من سفروهذه تصبح أصغر أو
+
+385
+00:38:00,110 --> 00:38:06,970
+ساوى 0 ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+386
+00:38:06,970 --> 00:38:07,570
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+387
+00:38:07,570 --> 00:38:07,570
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+388
+00:38:07,570 --> 00:38:08,030
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+389
+00:38:08,030 --> 00:38:08,030
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+390
+00:38:08,030 --> 00:38:08,130
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+391
+00:38:08,130 --> 00:38:08,690
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+392
+00:38:08,690 --> 00:38:10,510
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+393
+00:38:10,510 --> 00:38:10,510
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+394
+00:38:10,510 --> 00:38:10,510
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+395
+00:38:10,510 --> 00:38:10,510
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+396
+00:38:10,510 --> 00:38:11,170
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+397
+00:38:11,170 --> 00:38:19,550
+.. ال .. ال .. ال ..F of X ناقص F of C على X minus
+
+398
+00:38:19,550 --> 00:38:24,130
+C as X بتروح للـ C exist إذا ال limit من اليمين
+
+399
+00:38:24,130 --> 00:38:26,010
+تساوي ال limit من اليسار مش ال continuity ال
+
+400
+00:38:26,010 --> 00:38:28,850
+differentiability إذا ال limit من اليمين تساوي ال
+
+401
+00:38:28,850 --> 00:38:32,610
+limit من اليسار هذا لا يمكن أن يحدث في هذه الحالة
+
+402
+00:38:32,610 --> 00:38:38,490
+إلا غير لما تكون كلام صحيح بدك تستخدم الصحيح بنفع
+
+403
+00:38:38,490 --> 00:38:42,210
+بنفع بنفع
+
+404
+00:38:45,000 --> 00:38:51,520
+بدونها .. بدونها .. بدونها بنفع اه
+
+405
+00:38:51,520 --> 00:38:55,380
+بنفع اه .. اه ما هو by contradiction هو انت لو ..
+
+406
+00:38:55,380 --> 00:38:58,200
+لو يعني لاحظت في ال .. في ال .. طبعا احنا ما
+
+407
+00:38:58,200 --> 00:39:00,220
+ساخدمناش limit من اليمين و limit من اليسار،
+
+408
+00:39:00,220 --> 00:39:08,700
+ساخدمنا ال limit مباشرة، بصير، بصير، فهم صحيحهو
+
+409
+00:39:08,700 --> 00:39:13,640
+الحل اللي انت بتعرفه و يعني خليني أقوله مرتاح له
+
+410
+00:39:13,640 --> 00:39:17,500
+هو الأسهل اه يعني انت ممكن تشوف هذا أسهل و هذا
+
+411
+00:39:17,500 --> 00:39:24,260
+أسهل كلام صحيح يلا اللي بعده الان corollary منيحي
+
+412
+00:39:24,260 --> 00:39:26,620
+محمد اللي بعده
+
+413
+00:39:33,180 --> 00:39:36,640
+corollary اللي ممكن حكيتها الـ corollary هذه أنا
+
+414
+00:39:36,640 --> 00:39:40,380
+اللي هي من المعلومات اللي قبل بشوية لو كانت ال
+
+415
+00:39:40,380 --> 00:39:44,420
+function f اللي هو has اللي هي f من I من I اللي
+
+416
+00:39:44,420 --> 00:39:47,980
+عندها continuous و non-interval and suppose that f
+
+417
+00:39:47,980 --> 00:39:51,420
+has a relative extremum of an interior point c of
+
+418
+00:39:51,420 --> 00:39:58,540
+I then either the derivative of f exists or f بسوة
+
+419
+00:39:58,540 --> 00:40:02,780
+سفرعادت صيغة للي قبل بشوية أنه لو كانت الـ
+
+420
+00:40:02,780 --> 00:40:08,720
+function عندي من I لعند R continuous وكانت اللي هي
+
+421
+00:40:08,720 --> 00:40:13,540
+الـ C interior point عندها relative maximum أو
+
+422
+00:40:13,540 --> 00:40:17,920
+relative minimum هذا لازم يعطينا أن الـ F prime يا
+
+423
+00:40:17,920 --> 00:40:21,860
+does not exist يا إما zero طبعا و هذي مباشرة لو
+
+424
+00:40:21,860 --> 00:40:28,150
+جلنا نفترض أن F prime existبنحصل عالميين على الـ 0
+
+425
+00:40:28,150 --> 00:40:32,190
+من النظرية اللي قبله شوية وهو المطلوب واضح نجي
+
+426
+00:40:32,190 --> 00:40:35,230
+للنظرية البعيدة اللي هي إيش اسمها النظرية المشهورة
+
+427
+00:40:35,230 --> 00:40:41,090
+اللي هي اسمها Rawls theorem Rawls theorem يا جماعة
+
+428
+00:40:41,090 --> 00:40:44,370
+طبعا مرت علينا في ال calculus ويمكن كمان صارت في
+
+429
+00:40:44,370 --> 00:40:49,690
+الثانوية يدرسوها النظرية طبعا معناها الهندسي كمان
+
+430
+00:40:49,690 --> 00:40:53,910
+بمر معاكم أنه لو كانت عند ال function is
+
+431
+00:40:53,910 --> 00:41:05,950
+continuousعلى F من A و B لعند R continuous on A و
+
+432
+00:41:05,950 --> 00:41:15,830
+B و differentiable on A و B open وعندي F of A .. F
+
+433
+00:41:15,830 --> 00:41:22,960
+of A هيها و F of B هيهابصير عندي معطيني كمان f of
+
+434
+00:41:22,960 --> 00:41:26,900
+a بساوي f of b ماعطينيهاش بساوي، بساوي سفر، لو
+
+435
+00:41:26,900 --> 00:41:30,260
+كانت بتساوي ثابت برضه بتظبط، بتكون نفسها، تعميم
+
+436
+00:41:30,260 --> 00:41:35,500
+بسيط لها ال f of a بساوي f of b بساوي سفر، بقوللي
+
+437
+00:41:35,500 --> 00:41:46,320
+إذا هالاجي نقطة then هذا معطى if this holds then
+
+438
+00:41:47,250 --> 00:41:52,110
+there exists C وحدة، تنتين، تلات، او .. المهم على
+
+439
+00:41:52,110 --> 00:41:55,790
+الأقل في واحدة there exists C المتل A و B such
+
+440
+00:41:55,790 --> 00:42:01,290
+that F prime of C بيساوز فماذا يعني؟ يعني بالله
+
+441
+00:42:01,290 --> 00:42:06,230
+بمعنى اخر نقطة C او اكثر في بين ال A و ال B بحيث
+
+442
+00:42:06,230 --> 00:42:11,390
+انه ميل المماس عندها او المماس اللي عندها بوازمين
+
+443
+00:42:11,390 --> 00:42:15,570
+محور السناد طبعا هنا في واحد هاي اتنين هاي تلاتة
+
+444
+00:42:16,090 --> 00:42:21,070
+طبعا حسب .. حسب الدالة اللي هو أكيد بتلاقي إذا
+
+445
+00:42:21,070 --> 00:42:26,130
+تحققت الشروط الأقل في نقطة عندها اللي هو المماس
+
+446
+00:42:26,130 --> 00:42:35,870
+بوازي محور السينات أي سؤال؟ ال proof ال proof برضه
+
+447
+00:42:35,870 --> 00:42:39,570
+احنا كنا أحيانا نبرهنه في ال calculus خلينا
+
+448
+00:42:39,570 --> 00:42:46,150
+نبرهنوها، أكيد هندرهنوها عنديلو كانت الـ F هي
+
+449
+00:42:46,150 --> 00:42:51,550
+الدالة الصفرية يعني F بتساوي 0 it is a trivial أنه
+
+450
+00:42:51,550 --> 00:42:54,390
+مش حلها جنوبها كل نقاطها الـ F prime of C هي إيش
+
+451
+00:42:54,390 --> 00:42:59,770
+بتتساوي؟ بتساوي 0 إذا ال case F بتساوي 0 is a
+
+452
+00:42:59,770 --> 00:43:07,590
+trivial case الآن case 2 case 1 الآن F ليست الدالة
+
+453
+00:43:07,590 --> 00:43:14,870
+الصفرية في الاحتمالين أنه بدأ عملها أن Fassumes
+
+454
+00:43:14,870 --> 00:43:25,310
+positive values الاحتمال التانوي F assumes
+
+455
+00:43:25,310 --> 00:43:33,730
+negative values أنا بدعي ان هذولا بيجيبن كل الحلال
+
+456
+00:43:34,430 --> 00:43:38,270
+لو كانت F assumes positive value ممكن تاخد
+
+457
+00:43:38,270 --> 00:43:40,830
+positive وتاخد negative وممكن تاخد positive لحالها
+
+458
+00:43:40,830 --> 00:43:46,250
+بظبط ولا لأ ال F assume negative values إذا هتاخد
+
+459
+00:43:46,250 --> 00:43:49,530
+حالة F assumes negative values لحالها أو negative
+
+460
+00:43:49,530 --> 00:43:56,780
+values مع مين؟ مع positive values واضح؟طيب، الآن
+
+461
+00:43:56,780 --> 00:44:00,520
+بدي أثبتلك في الحالة الأولى على طول هتطلع F prime
+
+462
+00:44:00,520 --> 00:44:06,700
+of C == 0 وفي الحالة التانية similarly، معايا؟الآن
+
+463
+00:44:06,700 --> 00:44:10,780
+في عندنا نظرية في تحليل واحد أو في الكالكولاست حتى
+
+464
+00:44:10,780 --> 00:44:16,640
+كنا نقول if F is continuous on a closed bounded
+
+465
+00:44:16,640 --> 00:44:22,640
+interval then it must attain its maximum and its
+
+466
+00:44:22,640 --> 00:44:28,140
+minimum in this absolute كمان in its interval،
+
+467
+00:44:28,140 --> 00:44:35,130
+مظبوط؟ يعني بمعنى آخرعندي بما أن F continuous على
+
+468
+00:44:35,130 --> 00:44:39,830
+closed bounded interval then its absolute maximum
+
+469
+00:44:39,830 --> 00:44:43,650
+and absolute minimum is attained here يعني بمعنى
+
+470
+00:44:43,650 --> 00:44:50,470
+أخر there exists C element in A وB such that F of
+
+471
+00:44:50,470 --> 00:44:55,900
+C هي ال maximumإيه في ال maximum يعني؟ يعني ال
+
+472
+00:44:55,900 --> 00:45:01,040
+supremum أو ال maximum لكل F of X حيث X وين موجودة
+
+473
+00:45:01,040 --> 00:45:08,400
+في ال A و ال B، مظبوط؟ إذا صارت عندي في C في ال A
+
+474
+00:45:08,400 --> 00:45:12,180
+و ال B بحيث أن F of C بالساوى ال supremum هذا ال
+
+475
+00:45:12,180 --> 00:45:17,780
+supremum يا جماعة أكيد A شماله أكبر strictly من A
+
+476
+00:45:18,660 --> 00:45:23,920
+من صفر ليش؟ لأن احنا تحت أي عنوان بنشتغل F assumes
+
+477
+00:45:23,920 --> 00:45:27,640
+positive values إذا في على أقل قيمة واحدة positive
+
+478
+00:45:27,640 --> 00:45:33,440
+إذا F of C هيكون strictly أكبر من مين؟ من صفر طيب
+
+479
+00:45:33,440 --> 00:45:41,920
+بقول برضه F of C صارت عبارة عن maximum point الـ C
+
+480
+00:45:41,920 --> 00:45:50,520
+مظبوط؟ هذا واحد اتنين الـ Cقطعاً لا هي الـ A ولا
+
+481
+00:45:50,520 --> 00:45:58,060
+هي الـ B ليش؟ لأنه بما أن أف of A بساوي أف of B
+
+482
+00:45:58,060 --> 00:46:06,240
+بساوي 0 إذا أكيد C هتكون نقطة داخلية لا هتكون الـ
+
+483
+00:46:06,240 --> 00:46:10,120
+A ولا هتكون الـ B إذا صار في عندي شغلتين إنه C
+
+484
+00:46:10,120 --> 00:46:16,880
+نقطة داخلية وC عندها maximumإذا وكانت وعندي ال F
+
+485
+00:46:16,880 --> 00:46:19,800
+is differentiable على ال A و ال B على ال open
+
+486
+00:46:19,800 --> 00:46:24,260
+interval إذا حسب النظرية اللي قبله شوية لازم تكون
+
+487
+00:46:24,260 --> 00:46:30,800
+F prime of C عشان تساوي ساو سفر then F prime of C
+
+488
+00:46:30,800 --> 00:46:40,530
+ساو سفر واضح أه طيب الآنالحالة الثانية F assumes
+
+489
+00:46:40,530 --> 00:46:44,670
+negative values مدام F assumes negative values إذا
+
+490
+00:46:44,670 --> 00:46:53,930
+ناقص الـ F assumes positive values صح ولا لا؟ الآن
+
+491
+00:46:53,930 --> 00:46:56,870
+اللي بنتبج على الـ F اللي فوق صار ينتبج على ناقص F
+
+492
+00:46:56,870 --> 00:46:57,390
+كله
+
+493
+00:47:05,040 --> 00:47:08,060
+differentiable على الـ A و الـ B و continuous على
+
+494
+00:47:08,060 --> 00:47:12,620
+الـ closed interval و هذا هيتحقق على مين بس؟ على
+
+495
+00:47:12,620 --> 00:47:19,480
+ناقص F إذا من ال case التانية ناقص F of C prime
+
+496
+00:47:19,480 --> 00:47:26,300
+هتساوي سفر أو بمعنى آخر F prime of C هيساوي سفر
+
+497
+00:47:26,300 --> 00:47:32,380
+for some C element in A و B هذه برهان ال roles
+
+498
+00:47:32,380 --> 00:47:45,410
+theoryأي سؤال اللي بعده الآن أوصلنا لإن نقدر الآن
+
+499
+00:47:45,410 --> 00:47:50,890
+نحكي عن اللي هو نظرية القيمة المتوسطة أو الـ Mean
+
+500
+00:47:50,890 --> 00:47:54,990
+Value Theorem نظرية القيمة المتوسطة أو الـ Mean
+
+501
+00:47:54,990 --> 00:47:57,510
+Value Theorem برضه
+
+502
+00:47:59,060 --> 00:48:03,900
+اللي هو مرت عليكم في calculus ألف و بتمر أيضًا في
+
+503
+00:48:03,900 --> 00:48:09,000
+اللي هو ملهجة ثانوية إيش ال mean value theorem؟ هي
+
+504
+00:48:09,000 --> 00:48:15,840
+عبارة عن تعميم لمين لل roles theorem إيش بتقول ال
+
+505
+00:48:15,840 --> 00:48:27,580
+mean value theorem؟ mean value theorem if F من A و
+
+506
+00:48:27,580 --> 00:48:38,570
+Bالعلب R is continuous and differentiable on A وB
+
+507
+00:48:38,570 --> 00:48:47,130
+then there exists C element in A وB such that F
+
+508
+00:48:47,130 --> 00:48:54,010
+prime of C سواء F of B ناقص F of A على B minus A
+
+509
+00:48:54,010 --> 00:48:57,590
+طبعا معناها الأهندسية برضه مارة عليكم خلّيني أقول
+
+510
+00:48:57,590 --> 00:49:05,120
+كمان مرةإيش اللي بتقوله النظرية؟ بتقول كمايا ليه؟
+
+511
+00:49:05,120 --> 00:49:14,860
+لإن مش مزايد بس ماشي
+
+512
+00:49:14,860 --> 00:49:22,960
+مفترض إن هي اللي عندي الـA وهي عند مين الـBالان F
+
+513
+00:49:22,960 --> 00:49:27,180
+of B نقص F of A على B minus A اللي هو عبارة عن ميل
+
+514
+00:49:27,180 --> 00:49:34,540
+عن ميل القاطع هذا ها .. هايه هذا اللي هو عبارة عن
+
+515
+00:49:34,540 --> 00:49:43,760
+النقطة B و F of B و هذا النقطة A و F of A طبعا ميل
+
+516
+00:49:43,760 --> 00:49:50,380
+القاطع زي ما انتوا عارفين هو F of B لهناناقص F of
+
+517
+00:49:50,380 --> 00:49:57,060
+A هذه فبكون هذا على اللي هو B كلها هذه ناقص A
+
+518
+00:49:57,060 --> 00:50:02,360
+فبكون اللي هو ميل القاطع هذا اللي هو F of B ناقص F
+
+519
+00:50:02,360 --> 00:50:06,900
+of A على B minus Aوالـ F prime of C اللي هو عبارة
+
+520
+00:50:06,900 --> 00:50:10,860
+عن إيش؟ عن ميل المماس عنده النقطة C يعني وكأنه
+
+521
+00:50:10,860 --> 00:50:14,400
+نظرية بتقولنا إنه لو كانت F is continuous على
+
+522
+00:50:14,400 --> 00:50:17,840
+closed interval A وB و differentiable على ال open
+
+523
+00:50:17,840 --> 00:50:22,340
+interval A وB بلاجي اللي هو مما .. وهي عند القاطع
+
+524
+00:50:22,340 --> 00:50:29,040
+هيه بلاجي مماس لدالة مماس واحد او اتنين او تلاتة
+
+525
+00:50:29,040 --> 00:50:37,560
+موازن مينيعني عند نقطة C بلاق اللي هو مماس يوازمين
+
+526
+00:50:37,560 --> 00:50:41,260
+.. يوازم القاطع في rule theorem كانت اللي هو ال A
+
+527
+00:50:41,260 --> 00:50:45,740
+و ال B صورة .. صورة انتحار على ال X axis فطبيعي ما
+
+528
+00:50:45,740 --> 00:50:49,980
+اللي هو قطح هو ال X axis من القاطع اللي هو سفر
+
+529
+00:50:50,790 --> 00:50:56,170
+فاهمين؟ فبكون اللي هو الـ F' اللي هو طبيعي موازي
+
+530
+00:50:56,170 --> 00:51:00,890
+أو صفر أو موازي للـ X-axis يعني بمعنى أخر والـ
+
+531
+00:51:00,890 --> 00:51:05,750
+theorem هي حالة خاصة من الـ mean value theorem
+
+532
+00:51:05,750 --> 00:51:12,490
+واضح؟ طيب، الآن ال proof ال proof طبعا أكيد هنعتمد
+
+533
+00:51:13,290 --> 00:51:16,690
+على اللي هو الـ mean على الـ Rolle's theorem في
+
+534
+00:51:16,690 --> 00:51:21,950
+الإثبات بدنا اللي هو نركب اللي هو الـ function
+
+535
+00:51:21,950 --> 00:51:27,210
+تكون بتحقق الـ mean value theorem و بتجيبلنا اللي
+
+536
+00:51:27,210 --> 00:51:33,750
+هي الصورة هذه لو أخدنا 5x بساوي f of x ناقص f of a
+
+537
+00:51:33,750 --> 00:51:38,110
+ناقص اللي هو المال اللي بديه f of b ناقص f of a
+
+538
+00:51:38,110 --> 00:51:45,970
+على b minus a مضروبةفي X minus A هلجيت بتشوف ليش
+
+539
+00:51:45,970 --> 00:51:52,910
+أخدنا الدالة الدالة الأن هذه لو جيت حسبة Phi of A
+
+540
+00:51:52,910 --> 00:51:57,630
+لها يعني consider this function Phi of A هيساوي F
+
+541
+00:51:57,630 --> 00:52:02,730
+of A نقص F of A سفر وA نقص A سفر فبصير بالسفر هذا
+
+542
+00:52:02,730 --> 00:52:10,040
+إذن بيساوي سفر لو جيت حسبة Phi of B5 of B هيصير 5
+
+543
+00:52:10,040 --> 00:52:14,280
+of B بيساوي F of B نقص F of A خليني عندك و B minus
+
+544
+00:52:14,280 --> 00:52:18,260
+A بتروح هذه محادي هذه ناقص لنفسها بيطلع برضه أياش
+
+545
+00:52:18,260 --> 00:52:23,000
+سفر إذا الأن 5 of A بيساوي 5 of B بيساوي سفر هاي
+
+546
+00:52:23,000 --> 00:52:27,600
+واحد اتنين عندي هذه الدالة is continuous على
+
+547
+00:52:27,600 --> 00:52:33,120
+closed bounded intervalوهذه ثوابت و X minus A X
+
+548
+00:52:33,120 --> 00:52:36,120
+minus A ده اللي خطية continuous وين مكان و
+
+549
+00:52:36,120 --> 00:52:39,520
+differentiable وين مكان إذا صارت هذه الدالة كلها
+
+550
+00:52:39,520 --> 00:52:43,360
+على بعض اللي هي A Phi of X is continuous وين مكان
+
+551
+00:52:43,360 --> 00:52:45,900
+بما فيها اللي .. ال .. ال .. ال .. ال .. ال .. ال
+
+552
+00:52:45,900 --> 00:52:46,040
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+553
+00:52:46,040 --> 00:52:46,320
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+554
+00:52:46,320 --> 00:52:46,420
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+555
+00:52:46,420 --> 00:52:48,560
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+556
+00:52:48,560 --> 00:52:48,600
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+557
+00:52:48,600 --> 00:52:49,020
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+558
+00:52:49,020 --> 00:52:49,700
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+559
+00:52:49,700 --> 00:52:50,180
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+560
+00:52:50,180 --> 00:52:50,420
+.. ال .. ال .. ال .. ال .. ال
+
+561
+00:52:59,650 --> 00:53:05,310
+و differentiable on a و b و أيضا اللي هو five a
+
+562
+00:53:05,310 --> 00:53:10,410
+بيساوي five b بيساوي سفر اذا .. اذا by Rolle's
+
+563
+00:53:10,410 --> 00:53:16,810
+theorem there exists c element in a و b such that
+
+564
+00:53:16,810 --> 00:53:22,230
+five prime of c ايش بتساويك؟ بتساوي سفر طيب سفر
+
+565
+00:53:22,230 --> 00:53:26,490
+يعني بتساوي five prime of c ايش five prime of c؟
+
+566
+00:53:26,490 --> 00:53:31,900
+خلينا نفرض لهناهي عبارة عن F prime of C مكان الـ
+
+567
+00:53:31,900 --> 00:53:36,840
+XC وهذه سفر وهذه اللي هي تفاضل الـ X وهذه سفر
+
+568
+00:53:36,840 --> 00:53:42,640
+طبعاً ضال الـ X هي شمالها واحد بصير ناقص F of B
+
+569
+00:53:42,640 --> 00:53:49,300
+فاهمين؟ F of A على B minus A هذا بيسوء سفر وهذا
+
+570
+00:53:49,300 --> 00:53:56,140
+يعني أن F prime of C بيسوء F of B ناقص F of A على
+
+571
+00:53:56,140 --> 00:54:06,450
+B minus Aوهو المطلوب، مظبوط؟ نيجي الآن لبعض
+
+572
+00:54:06,450 --> 00:54:14,290
+النتائج اللي احنا بستعملها كتير اللي
+
+573
+00:54:14,290 --> 00:54:20,630
+هي في الواقع برهانة عن طريق الـ Mean Value Theorem
+
+574
+00:54:20,630 --> 00:54:26,120
+النظرية اللي بتقول ليهاللي هي اللي باختصار بنقول
+
+575
+00:54:26,120 --> 00:54:33,900
+أنه لو كانت المشتقة الأولى لدالة بتساوي سفر إذن هي
+
+576
+00:54:33,900 --> 00:54:41,340
+اللي هتكون مين هي المشتقة الثابتة طيب نشوف بالظبط
+
+577
+00:54:41,340 --> 00:54:46,960
+أيش اللي بقوله بقولوا .. نفترض أن F continuous F
+
+578
+00:54:46,960 --> 00:54:53,280
+عبارة عن دالة من A و Bلعيد R continuous ماشي
+
+579
+00:54:53,280 --> 00:54:57,060
+continuous على closed اللي هو open closed bounded
+
+580
+00:54:57,060 --> 00:55:02,060
+interval الان او كانت differentiable و F
+
+581
+00:55:02,060 --> 00:55:08,080
+differentiable على ال A و ال B باشي الحال بالاضافة
+
+582
+00:55:08,080 --> 00:55:15,300
+معطيك and F prime of X بساوة سفر لكل X element in
+
+583
+00:55:15,300 --> 00:55:19,600
+A و B هذا بقوللي على بعضه then
+
+584
+00:55:22,250 --> 00:55:29,470
+then اللي هو f of x بساوي c لكل x element in a و b
+
+585
+00:55:29,470 --> 00:55:39,910
+for some c constant for some constant c طيب الآن
+
+586
+00:55:39,910 --> 00:55:46,370
+ال proof البرهانة عمبرا عن exercise صغير بسيط
+
+587
+00:55:46,370 --> 00:55:56,110
+نبرهنه مع بعض الآن خد xlet x element in a و b ماشي
+
+588
+00:55:56,110 --> 00:56:00,530
+و خلّينا ناخد ال x أكبر من مين من a يعني x في أين
+
+589
+00:56:00,530 --> 00:56:04,410
+موجود في ال open .. في ال half open interval من a
+
+590
+00:56:04,410 --> 00:56:11,610
+و b let x be fixed but arbitrary ماشي الآن بدي
+
+591
+00:56:11,610 --> 00:56:17,570
+أطبّق المي .. طبعا هي ال a و ال b هي ال a و هي ال
+
+592
+00:56:17,570 --> 00:56:21,960
+bوأخدت X أي نقطة هنا هنا .. هنا .. هنا .. هنا ..
+
+593
+00:56:21,960 --> 00:56:26,160
+هنا .. هنا .. حتى لو كانت ال .. إيش ال B إذا صارت
+
+594
+00:56:26,160 --> 00:56:36,020
+ال F عندي ال F صارت ال F continuous on اللي هو X و
+
+595
+00:56:36,020 --> 00:56:43,300
+B صح؟ continuous عليها دي أكيد و لا بناخدها على
+
+596
+00:56:43,300 --> 00:56:53,420
+الفترة A و X أه عشان A و Xو differentiable on a و
+
+597
+00:56:53,420 --> 00:57:01,100
+x صح ولا لأ اذا by الهو mean value theorem there
+
+598
+00:57:01,100 --> 00:57:09,660
+exist c element in a و x such that f prime of c
+
+599
+00:57:09,660 --> 00:57:21,390
+بساوي f of x ناقص f of a على x minus aصحيح؟ حيث C
+
+600
+00:57:21,390 --> 00:57:27,630
+في A و B طب احنا مدام C في A و X بين A و X و احنا
+
+601
+00:57:27,630 --> 00:57:31,830
+مفترضين ان F prime of X بيساوي صفر لكل X في A و B
+
+602
+00:57:31,830 --> 00:57:38,930
+معايا اه؟ اه، اذا هتصير هذا اشمالها صفر، اذا صارت
+
+603
+00:57:38,930 --> 00:57:46,680
+عندي F هذا بيساوي صفر، اذا صارت F of X بتساوي Fof
+
+604
+00:57:46,680 --> 00:57:53,220
+A لكل X وين موجودة الآن for all such X وهذه كانت X
+
+605
+00:57:53,220 --> 00:57:58,000
+fixed but arbitrary إذا صار F of X بيساوي F of A
+
+606
+00:57:58,000 --> 00:58:02,800
+لكل X في الفترة A و B بما فيها ميني الـ A لأنه
+
+607
+00:58:02,800 --> 00:58:12,520
+نفسها بتساوي إذا صارت عندي hence F is constant أي
+
+608
+00:58:12,520 --> 00:58:20,890
+سؤالطيب اللي بعدها corollary
+
+609
+00:58:20,890 --> 00:58:24,470
+الـ corollary برضه من الاشي المشهور اللي احنا
+
+610
+00:58:24,470 --> 00:58:29,190
+بنستخدمه اللي هو لو كان دالتين بحاجة عن الشروط
+
+611
+00:58:29,190 --> 00:58:34,910
+طبعا لأنها تفاضلن زي بعض إذن هيكون اللي هو هن نفس
+
+612
+00:58:34,910 --> 00:58:42,990
+الاشي بس باختلف عن بعض بالأكترين ثابت طيب الآن ال
+
+613
+00:58:42,990 --> 00:58:50,450
+corollary كما يليهالـ Corollary بتقول suppose that
+
+614
+00:58:50,450 --> 00:58:56,970
+F and G are continuous on I, A وB then that they
+
+615
+00:58:56,970 --> 00:59:01,190
+are differentiable on A وB يعني نفترض أن الدالتين
+
+616
+00:59:01,190 --> 00:59:05,230
+F وG continuous على ال closed اللي هي bounded
+
+617
+00:59:05,230 --> 00:59:08,910
+interval A وB وdifferentiable على ال open interval
+
+618
+00:59:08,910 --> 00:59:12,070
+A وBوالـ derivative للأولى بساوي ال derivative
+
+619
+00:59:12,070 --> 00:59:15,690
+للثانية عند كل نقطة من النقاط الـ A و الـ B إذا
+
+620
+00:59:15,690 --> 00:59:18,910
+there exists a constant C such that F بتساوي G
+
+621
+00:59:18,910 --> 00:59:25,350
+زائد H زائد C طبعا البرهان سهل و أكيد يمكن بعضكم
+
+622
+00:59:25,350 --> 00:59:34,390
+برهنه في راسه let H بتساوي F ناقص G مظبوط؟ الآن
+
+623
+00:59:34,390 --> 00:59:43,530
+thenF و G continuous إذن H is continuous on A و B
+
+624
+00:59:43,530 --> 00:59:51,210
+و أيضًا F و G differentiable على A و B and H is
+
+625
+00:59:51,210 --> 00:59:55,210
+differentiable on A و B moreover
+
+626
+00:59:57,700 --> 01:00:02,620
+عندي H برايم اللي هو بساوي F برايم نقص G برايم
+
+627
+01:00:02,620 --> 01:00:08,340
+طبعا عند ال X عند ال X of X of X of X بساوي صفر
+
+628
+01:00:08,340 --> 01:00:16,340
+لكل X موجودة في ال A و ال B then by the above
+
+629
+01:00:16,340 --> 01:00:20,300
+theorem اللي بنحكي عنها اللي هي theorem by theorem
+
+630
+01:00:20,300 --> 01:00:31,180
+625 Hof X بتساوي C for every X element in A وB and
+
+631
+01:00:31,180 --> 01:00:35,300
+hence F
+
+632
+01:00:35,300 --> 01:00:44,040
+of X بساوي G of X زاد some constant C
+
+633
+01:00:50,890 --> 01:00:54,570
+بكونوا احنا وصلنا لعين theorem 627 ان شاء الله
+
+634
+01:00:54,570 --> 01:01:01,010
+المرة القادمة بنكمل والسلام عليكم ورحمة الله
+
+635
+01:01:01,010 --> 01:01:01,670
+وبركاته
+