diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q.srt new file mode 100644 index 0000000000000000000000000000000000000000..c4941a8ec6d7e05e69be2b4d25aaa45fa576c94c --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q.srt @@ -0,0 +1,1806 @@ +1 +00:00:20,840 --> 00:00:27,100 +خلّينا نكمل chapter 2 اللي بتحدث عن شدة المجال + +2 +00:00:27,100 --> 00:00:34,140 +الكهربائي، اتفقنا أن كل شحنة بتولد مجال كهربائي + +3 +00:00:34,140 --> 00:00:39,960 +وبالتالي شدة المجال الكهربائي، اتفقنا أنها بتساوي 1 + +4 +00:00:39,960 --> 00:00:50,130 +على 4 π إبسلون تكامل DQ over R square R hatR + +5 +00:00:50,130 --> 00:00:54,190 +طبعاً، وهذه الـ DQ زي ما أنتم عارفين لها + +6 +00:00:54,190 --> 00:00:59,010 +ثلاثة احتمالات: إما Lambda DL أو Sigma DA أو Rho D + +7 +00:00:59,010 --> 00:01:06,350 +V. فهذه إما Lambda DL, Sigma DA أو + +8 +00:01:06,350 --> 00:01:14,370 +Rho DV. برعاية حلو في المنطقة هذه في مجال + +9 +00:01:14,370 --> 00:01:20,270 +كهربائي. طيب، المجال كبير ولا صغير؟ موجود ولا مش + +10 +00:01:20,270 --> 00:01:26,010 +موجود؟ كيف نتعامل معه؟ فصار اتفقوا أنه بدنا + +11 +00:01:26,010 --> 00:01:30,390 +نعمل حاجة نستطلع بها، نبعد فيها، أنه لما أشوف من + +12 +00:01:30,390 --> 00:01:35,070 +الرسمة أعرف هذا المجال إيه شكله؟ وكبير ولا صغير؟ + +13 +00:01:35,070 --> 00:01:42,370 +موجود ولا مش موجود؟ ده مش أنا صاحب الغرفة، تمام؟ + +14 +00:01:42,370 --> 00:01:50,590 +هذه الشغلة قالوا بدنا خطوط المجال نمثلها بخطوط + +15 +00:01:50,590 --> 00:01:55,970 +اصطلاحية وهمية، نسميها خطوط المجال الكهربائي عشان + +16 +00:01:55,970 --> 00:02:00,070 +أنا لما أرسم رسمة وأنت ترسم رسمة لنفس الشكل، تكون + +17 +00:02:00,070 --> 00:02:03,810 +زي بعض، ونقول آه، في مجال. وإذا هذه + +18 +00:02:03,810 --> 00:02:11,500 +الشغلة عشان فقط تسهل التعامل. خلّينا نقول التعامل ما + +19 +00:02:11,500 --> 00:02:16,700 +بين المهتمين، على طريق الورق أو اللوح أو النت أو + +20 +00:02:16,700 --> 00:02:22,360 +الإلكترونية. هذه الخطوط بنسميها الـ Field Lines، خطوط + +21 +00:02:22,360 --> 00:02:29,720 +المجال. إذا صار منقول إن المجال الكهربائي بدي أمثله + +22 +00:02:29,720 --> 00:02:34,800 +The electric field in a region is represented. بدي + +23 +00:02:34,800 --> 00:02:39,800 +أمثله by imaginary lines. إذا هذه الخطوط + +24 +00:02:39,800 --> 00:02:45,720 +اصطلاحية. هم بالحقيقة موجودين؟ أنا لما أقول في مجال + +25 +00:02:45,720 --> 00:02:51,290 +في غرفة، بمسك خطوط؟ بمسكش، بس أنا بدي أرسمهم وأمثلهم + +26 +00:02:51,290 --> 00:02:56,490 +بخطوط وهمية، called the electric field lines with + +27 +00:02:56,490 --> 00:03:01,430 +the following properties. زي ما نتفق عليه عشان + +28 +00:03:01,430 --> 00:03:06,150 +أنا وأنتِ وكل الدنيا ترسم نفس الخطوط لنفس الشكل، + +29 +00:03:06,150 --> 00:03:09,730 +لابد أن نتفَق على كيف نرسم الخطوط، ويكون لها + +30 +00:03:09,730 --> 00:03:16,050 +صفات مشتركة، صح ولا لأ؟ هذه الخطوط هتكون كالتالي: أول + +31 +00:03:16,050 --> 00:03:21,710 +شرط وأول صفة لها: They begin from positive charges + +32 +00:03:21,710 --> 00:03:25,530 +and terminate at negative charges. إذن هذه الخطوط + +33 +00:03:25,530 --> 00:03:29,050 +تبدأ من الشحنات الموجبة، وين بتروح؟ الشحنات + +34 +00:03:29,050 --> 00:03:32,920 +السالبة. هو كم شحنة في الدنيا فيها موجب وسالب؟ تمام؟ + +35 +00:03:32,920 --> 00:03:35,980 +طبعاً، تخيلوا تقعوا في شحنة موجبة، اقبضوا واطلعوا + +36 +00:03:35,980 --> 00:03:40,060 +دوايركم ماشيين، صح ولا لأ؟ ما فيش سالب، دوايركم رايحين + +37 +00:03:40,060 --> 00:03:44,080 +للمدى النهاية لما تدوروا على السالب، حلو. They can + +38 +00:03:44,080 --> 00:03:50,460 +never cross. مستحيل يتقاطعوا. احنا بنعرف أن الـ Curl + +39 +00:03:50,460 --> 00:03:54,840 +للـ E صفر، ما فيش دوران للـ E، وبالتالي They can + +40 +00:03:54,840 --> 00:04:03,020 +never cross. تمام؟ Their number per unit area is + +41 +00:04:03,020 --> 00:04:05,300 +proportional to the intensity of the electric + +42 +00:04:05,300 --> 00:04:11,100 +field at that point. تمام، رسمت خطوط، رسمت + +43 +00:04:11,100 --> 00:04:15,560 +خطوط، طيب إيش بده يُعرفك إن شدة المجال هنا أكبر من + +44 +00:04:15,560 --> 00:04:19,240 +هنا؟ بقوله: اتطلع على المنطقة، إذا لقيت الخطوط + +45 +00:04:19,240 --> 00:04:24,040 +كثيفة، معناته أن المجال مالو؟ كبير. إذا الخطوط + +46 +00:04:24,040 --> 00:04:28,120 +دحلة، متفرقة، معناته أن المجال ضعيف، تمام؟ خلّينا + +47 +00:04:28,120 --> 00:04:36,220 +نعمل مثال بسيط يا بنات. هي شحنة، تمام؟ + +48 +00:04:36,220 --> 00:04:38,740 +بدنا نرسم خطوط المجال اللي هي من الشحنة، كيف + +49 +00:04:38,740 --> 00:04:42,040 +نرسمها؟ هي شحنة موجبة، بقى، إيش بيقول لي خطوط المجال + +50 +00:04:42,040 --> 00:04:44,920 +من أين بتبدأ؟ من الموجبة، بتروح على السالبة. ما فيش + +51 +00:04:44,920 --> 00:04:47,460 +سالبة، بتروح على الما لا نهاية، يعني، بقول له: هي خط + +52 +00:04:47,460 --> 00:04:56,760 +طبعاً بتبقى متمتدة، هي خط، وهي خط، وهي خط، وهي + +53 +00:04:56,760 --> 00:05:03,360 +خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط + +54 +00:05:03,360 --> 00:05:03,460 +وكمان خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط، وكمان + +55 +00:05:03,460 --> 00:05:08,180 +خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط + +56 +00:05:08,180 --> 00:05:10,860 +وكمان خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط، وكمان + +57 +00:05:10,860 --> 00:05:12,760 +خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط، وكمان خط + +58 +00:05:12,760 --> 00:05:17,150 +وكمان خط، وكمان خط، وكمان خ... بدي أنا أشوف رقم 3 هذه، + +59 +00:05:17,150 --> 00:05:21,950 +إيش بيقول لي؟ بيقول لي: عدد خطوط المجال لكل وحدة + +60 +00:05:21,950 --> 00:05:26,330 +مساحة، أنا الكثافة، هو بيقول لي كثافة الخطوط، دائماً + +61 +00:05:26,330 --> 00:05:29,990 +كثافة الخطوط لها دعوة إما بـ volume أو بـ area، صح؟ + +62 +00:05:29,990 --> 00:05:35,680 +لما يقول لي إحنا كثافة السكان، كيف بتحسب؟ على… على + +63 +00:05:35,680 --> 00:05:38,800 +السكان، على مساحة، مظبوط. دائماً الكثافة لها دعوة + +64 +00:05:38,800 --> 00:05:43,520 +بأبعاد، جيب لك مساحة معينة، + +65 +00:05:43,520 --> 00:05:49,620 +مساحة هذه اللي أنا بدي أرسمها، كم خط اخترقها، + +66 +00:05:49,620 --> 00:05:55,290 +ثلاثة، حلو. نفس المساحة، ابعدها شوية، أكبر خط + +67 +00:05:55,290 --> 00:05:59,410 +اخترقها، بقول هنا أكثر من هنا، إيش يعني؟ شدة المجال + +68 +00:05:59,410 --> 00:06:02,330 +هنا أكبر من هنا، وهذه شغلة منطقية ولا لأ؟ لأن كل + +69 +00:06:02,330 --> 00:06:08,650 +ما ابعدت كل ما المجال ضعيف، تمام؟ سؤال لكم الآن: لما + +70 +00:06:08,650 --> 00:06:18,350 +يكون المجال منتظم، يعني ثابت، منيح، بدي شكل بحيث أن + +71 +00:06:18,350 --> 00:06:23,630 +طول ما أنا ماشي عدد خطوط المجال التي تتقطع بالمساحة، كل + +72 +00:06:23,630 --> 00:06:29,570 +واحدة، كيف تكون هذه الخطوط؟ متوازية. + +73 +00:06:29,570 --> 00:06:33,530 +بدها تكون الخطوط متوازية، لما تكون الخطوط متوازية زي + +74 +00:06:33,530 --> 00:06:39,610 +هيك، وجيت + +75 +00:06:39,610 --> 00:06:44,230 +وجبت مساحة، وطول ما أنتم ماشيين، لو كان في خط + +76 +00:06:44,230 --> 00:06:48,110 +يعني، افترض أن هذه المساحة اللي أنتم ماشيين فيها + +77 +00:06:48,110 --> 00:06:53,130 +وهي بتمشوا عدل، يعني في عند نقطة معينة بيصير خطين + +78 +00:06:53,130 --> 00:06:58,650 +بيقطعوها. عشان كده قالوا: المجال المنتظم يمثل بخطوط + +79 +00:06:58,650 --> 00:07:05,910 +متوازية. ذاكرين المكثف؟ + +80 +00:07:05,910 --> 00:07:09,550 +مر عليكم المكثف ولا لا؟ كيف نرسم خطوط المجال فيه؟ + +81 +00:07:09,550 --> 00:07:14,630 +متوازية، لأن شدة المجال بدها تكون جوا uniform، تمام؟ + +82 +00:07:14,630 --> 00:07:22,250 +حلو. إذا الـ number per unit area is proportional to + +83 +00:07:22,250 --> 00:07:26,450 +the intensity of the electric field at that point. + +84 +00:07:26,450 --> 00:07:31,470 +The direction of the electric field at a point is + +85 +00:07:31,470 --> 00:07:35,930 +tangent to these lines at that point. طبعاً أنت لما + +86 +00:07:35,930 --> 00:07:39,330 +تقول لي من الموجبة للسالب، لو بدي أقول لك عند النقطة + +87 +00:07:39,330 --> 00:07:43,110 +هذه، قول لي كيف اتجاه المجال؟ اتجاه المجال + +88 +00:07:46,150 --> 00:07:49,430 +بيكون كيف؟ اتجاه المجال، محنا ما بنحط شحنة موجبة و + +89 +00:07:49,430 --> 00:07:53,030 +بنشوف كيف بتتحرك، إذا هي اتجاه المجال. طيب، هذا + +90 +00:07:53,030 --> 00:07:55,790 +الخط الأزرق والخط الأصفر tangent to each other + +91 +00:07:55,790 --> 00:08:00,130 +ولا لا؟ tangent to each other. طبعاً لأنك أنت بترسم + +92 +00:08:00,130 --> 00:08:05,010 +خطوط مجال، لازم يكون لهم علاقة ببعض، حلو. هل تلت + +93 +00:08:05,010 --> 00:08:09,850 +أشكال مشهورة لخطوط المجال، اللي هم قالوا لي: هاي في + +94 +00:08:09,850 --> 00:08:12,890 +عندك شحنة موجبة وشحنة سالبة، أنا الموجبة لحالها + +95 +00:08:12,890 --> 00:08:17,830 +رسمتها، إيش عاملة؟ من الموجب والرايح للسالب، طيب + +96 +00:08:17,830 --> 00:08:26,350 +الآن بدي منكم اتجاه شدة المجال عند النقطة هذه. مماس، + +97 +00:08:26,350 --> 00:08:32,710 +إذا بعمل مماس وبقول هيها، حسب الاتجاه، مماس عند + +98 +00:08:32,710 --> 00:08:37,470 +نقطة، بقول هي اتجاه المجال، فهمتوا عليّ؟ طبعاً + +99 +00:08:37,470 --> 00:08:41,230 +واضح. الآن بالنسبة للخطوط المرسومة، وين أكبر كثافة + +100 +00:08:41,230 --> 00:08:47,320 +موجودة؟ جنب الشحنات، صح؟ لأن number of electric + +101 +00:08:47,320 --> 00:08:51,080 +field lines per unit area is proportional to the + +102 +00:08:51,080 --> 00:08:55,180 +intensity of the electric field. طبعاً هذه لما تكون + +103 +00:08:55,180 --> 00:08:58,120 +negative و negative و positive و positive، إيش + +104 +00:08:58,120 --> 00:09:01,080 +أفرق هذا عن هذا؟ هنا الشحنات داخلة، وهنا الشحنات + +105 +00:09:01,080 --> 00:09:08,190 +طالعة، بس، تمام يا بنات؟ أي سؤال؟ هذه خطوط المجال، + +106 +00:09:08,190 --> 00:09:13,890 +إذن المجال اتفق على تمثيله بخطوط مجال، هي خطوط + +107 +00:09:13,890 --> 00:09:16,970 +المجال، لها بعض الصفات اللي أنتم عارفينها، مين + +108 +00:09:16,970 --> 00:09:22,010 +بيفكر؟ صح ولا لأ؟ و بس مجرد إحنا بنعيد عشان تقعد + +109 +00:09:22,010 --> 00:09:30,830 +المعلومة، صح؟ تم. Flux and Gauss's law، جديد، سمعتوا فيه؟ + +110 +00:09:30,830 --> 00:09:36,790 +طيب، طيب. هجومانة على طول بذكرها، حلو. Flux يعني + +111 +00:09:36,790 --> 00:09:43,790 +التدفق، الفيض. كلمة التدفق، مرتبطة في ذهنكم بالمياه، + +112 +00:09:43,790 --> 00:09:49,530 +تتدفق المياه، بتفيض، لما يصير فيضان، الفيضانات، بإيش + +113 +00:09:49,530 --> 00:09:53,350 +مرتبطة؟ ماذا هو الفيض؟ طول عمرنا إحنا صغار كنا + +114 +00:09:53,350 --> 00:09:57,050 +نقول… عشان زمان إحنا كنا ناخد تاريخ وجغرافيا مصر، + +115 +00:09:57,050 --> 00:10:00,990 +ففيضان نهر النيل أخذناه لما زهجنا في المدارس، تمام؟ + +116 +00:10:00,990 --> 00:10:05,770 +فيضان نهر بفيض، بحر بفيض، مياه بتفيض لما شدة الدنيا + +117 +00:10:05,770 --> 00:10:11,030 +وتسرع النفج عن النفاض وخربت الدنيا، إذن الفيض + +118 +00:10:11,030 --> 00:10:15,650 +والتدفق مربوط بالمياه. جاية المياه كيف تمشي؟ تمشي إما + +119 +00:10:15,650 --> 00:10:21,950 +بمواسير أو بنهور، في مسار. لما تتدفق، معناته بتمشي، + +120 +00:10:21,950 --> 00:10:27,430 +صح؟ بتمشي، يعني بتخترق أسطح، بتخترق أسطح، + +121 +00:10:27,430 --> 00:10:33,950 +اتصوروا أنتم المجال الكهربائي، بدي أرسم خطوط، + +122 +00:10:33,950 --> 00:10:37,810 +لما الخطوط زي المياه وهي ماشية، إذن برضه خطوط + +123 +00:10:37,810 --> 00:10:44,310 +المجال تتدفق، كيف بدي أسميها؟ هذا التدفق صار مصطلح + +124 +00:10:44,310 --> 00:10:50,190 +علمي، الـ flux، بس بسميه الـ electric flux، الفيض + +125 +00:10:50,190 --> 00:10:57,150 +الكهربائي، مش أكثر. تمام؟ إذن بيقول لي إيش هو تعريفه + +126 +00:10:57,150 --> 00:11:00,970 +العلمي؟ بيقول لي: the electric flux، رمزه capital Phi، + +127 +00:11:00,970 --> 00:11:05,310 +is a measure. طبعاً التدفق لازم يكون خلال surface، + +128 +00:11:05,310 --> 00:11:09,550 +through a surface، is a measure of the number of + +129 +00:11:09,550 --> 00:11:14,690 +field lines passing through، through the surface. + +130 +00:11:14,690 --> 00:11:22,250 +تمام؟ هذا تعريفه، هو كم خط مجال اخترق سطح معين؟ + +131 +00:11:22,250 --> 00:11:26,410 +اخترق يعني تدفق، تمام؟ يجب أن يكون هناك قانون لكل + +132 +00:11:26,410 --> 00:11:30,170 +هذا الكلام. إذا كنت تحصل على ترجمة، وتضع قانون، اللي + +133 +00:11:30,170 --> 00:11:33,610 +يمثل لك عدد خطوط المجال، شدة المجال، إذا لديك عدد خطوط + +134 +00:11:33,610 --> 00:11:37,350 +صفر، خطوط، كم يظهر؟ صفر. إذا عدد الخطوط كبير، يعني + +135 +00:11:37,350 --> 00:11:43,430 +إيش كبير؟ إذا هذا يمثل لك إياه، إذا is a measure of + +136 +00:11:43,430 --> 00:11:47,250 +the number of field lines through that surface. + +137 +00:11:47,250 --> 00:11:54,940 +حلو؟ إذن number of field lines، هؤلاء اللي بدنا + +138 +00:11:54,940 --> 00:12:04,920 +نمثلهم بـ E، والـ Surface، ما هو؟ S، مساحة. مساحة. إذا + +139 +00:12:04,920 --> 00:12:13,240 +نتيجة لذلك الـ Flux بتساوي تكامل E ضد الـ dS. نضرب + +140 +00:12:13,240 --> 00:12:17,620 +ضد الـ product. هذه من أين جأت؟ من أين جأت؟ هذا سطح + +141 +00:12:17,620 --> 00:12:20,740 +ولا لا؟ حلو، وهذه خط مجال. + +142 +00:12:23,700 --> 00:12:29,780 +خلّينا نقول هذا خط مجال، جيت هيك. خط المجال اخترق + +143 +00:12:29,780 --> 00:12:34,380 +الورقة؟ ما اخترق الورقة، في اختراق؟ ما كان + +144 +00:12:34,380 --> 00:12:38,080 +بيخترقها، إذا هيك عملت، قلنا على هيك. طيب، + +145 +00:12:38,080 --> 00:12:43,020 +ما اخترقش، يعني كم الفلَكس تتوقع يطلع؟ صفر. حلو. هذه + +146 +00:12:43,020 --> 00:12:47,480 +الـ S اللي أنت حطيت لي إياها في القانون، S، هي vector ولا + +147 +00:12:47,480 --> 00:12:54,970 +scalar أولاً؟ كيف اتجاهها؟ عمودي على السطح، هيفا، يعني؟ + +148 +00:12:54,970 --> 00:12:57,810 +جدت الزاوية بينها وبين إيش؟ تسعين، والـ product + +149 +00:12:57,810 --> 00:13:03,270 +بتبع تسعين، ولا كوساين؟ كوساين التسعين؟ صفر. صفر؟ + +150 +00:13:03,270 --> 00:13:09,010 +صح، والله طلعت صفر. طيب، سؤالي: جيت مين أكبر اختراق؟ + +151 +00:13:09,010 --> 00:13:15,610 +هيك ولا هيك؟ عمودي. عمودي، لما تكون عمودي، كيف إيش؟ + +152 +00:13:15,610 --> 00:13:20,960 +إيش هيها؟ cos صفر، واحد. لما تصغر الزاوية بيصير أقل من + +153 +00:13:20,960 --> 00:13:26,700 +واحد. إذن أكبر فيض وتدفق لما يكون عمودي على الـ area، + +154 +00:13:26,700 --> 00:13:29,900 +بمعنى آخر، موازٍ. إذن عشان كده جأت الـ dot product، + +155 +00:13:29,900 --> 00:13:34,840 +إذن الـ dot product هذه عشان يميز لي إن الخط مائل + +156 +00:13:34,840 --> 00:13:41,720 +ولا مش مائل، وبالتالي كل ما مائل بقلّ مقدار + +157 +00:13:41,720 --> 00:13:48,020 +اختراقه، صح ولا لأ؟ هذا هو الفيض الكهربائي، إذن هو + +158 +00:13:48,020 --> 00:13:56,080 +scalar quantity. بتساوي تكامل E ضد dS. طيب، بدي أحسب + +159 +00:13:56,080 --> 00:13:58,640 +الفيض على اللوح كله، اللوح surface ولا مش surface؟ + +160 +00:13:58,640 --> 00:14:07,240 +surface. حلو. طيب، وبقول لك E ثابت على كل اللوح، إذن + +161 +00:14:07,240 --> 00:14:10,640 +ثابت على كل اللوح، إيش بتسوي بالتكامل؟ بطلّعها برا + +162 +00:14:10,640 --> 00:14:14,610 +التكامل، إيش بتضلّ جوا التكامل؟ dS. ماذا يعني dS؟ + +163 +00:14:14,610 --> 00:14:18,750 +dS لمن؟ للوحة، إيش مساحة اللوحة؟ طول × عرض؟ ميموس + +164 +00:14:18,750 --> 00:14:23,390 +يطير؟ بجيبها، ميثابت؟ خلّي التكامل ميثابت، ما شي يعني + +165 +00:14:23,390 --> 00:14:27,910 +ميثابت؟ بقول لك والله شدة المجال هنا غير عن شدة + +166 +00:14:27,910 --> 00:14:31,370 +المجال هنا، هي E واحد وE اتنين، بقول لك والله ولا اي + +167 +00:14:31,370 --> 00:14:37,630 +شيء، خلّيك زي ما أنت، جيب لي هذه d + +223 +00:19:41,750 --> 00:19:47,070 +عند النقطة هذه، مدّته للمركز، فدائماً العمودي على أي + +224 +00:19:47,070 --> 00:19:50,970 +قوس يكون باتجاه نصف القطر لذلك القوس، لأن القوس جزء + +225 +00:19:50,970 --> 00:19:53,770 +من دائرة، في كل حال، يكون باتجاه نصف القطر، وإلاّ فلن يكون + +226 +00:19:53,770 --> 00:19:56,790 +باتجاه نصف القطر. فدائماً المعلومة التي تحطيها في + +227 +00:19:56,790 --> 00:20:00,590 +بالك أني أُثبتها من سنة أولى، أن العمودي على + +228 +00:20:00,590 --> 00:20:05,350 +القوس يكون باتجاه نصف قطر ذلك القوس. فمفهوم هذه + +229 +00:20:05,350 --> 00:20:12,060 +العلاقة، العلاقة في الـ direction فقط، تمام؟ غيرها، إذا + +230 +00:20:12,060 --> 00:20:17,460 +جوس، ماذا قال؟ بعدما عمل هذه الملاحظة، قال for + +231 +00:20:17,460 --> 00:20:23,080 +any closed surface، فقط للأسطح المغلقة، أحكي طبعاً + +232 +00:20:23,080 --> 00:20:26,660 +أنتم اخترتم أحلى سطح مغلق، وهو الكرة. أيش + +233 +00:20:26,660 --> 00:20:34,560 +أسطح مغلقة أخرى؟ أسطوانة، أيش؟ طيب، أنا أقول: مجسمات منتظمة + +234 +00:20:34,560 --> 00:20:39,280 +أولاً: مجسمات منتظمة، مثل: مخروط، مكعب، أو مكعبات + +235 +00:20:39,280 --> 00:20:40,920 +مستطيلات، طيب + +236 +00:20:43,190 --> 00:20:49,550 +مخروط؟ هرم؟ أيّ شيء، يبقى سطح مغلق، بيظلّ + +237 +00:20:49,550 --> 00:20:53,550 +ولا لا؟ سطح مغلق. إذا الأسطح المغلقة كثيرة، لكن + +238 +00:20:53,550 --> 00:20:58,010 +الحلوة: الكرة، والأسطوانة، والمستطيلات، والهرم، والمخروط + +239 +00:20:58,010 --> 00:21:01,630 +والشكل... والمنشور، ومش عارف أيش... كلّ هذه أشكال، تمام؟ + +240 +00:21:01,630 --> 00:21:05,470 +إذا، أيش بيقول؟ for any closed surface، أي سطح مغلق + +241 +00:21:05,470 --> 00:21:10,600 +بشَرط أن يكون مغلقاً، the electric flux، الـ flux + +242 +00:21:10,600 --> 00:21:14,480 +خلاله، طبعاً، الـ closed surface مفهومه واضح جداً + +243 +00:21:14,480 --> 00:21:18,120 +فهو: the surface is proportional to the net electric + +244 +00:21:18,120 --> 00:21:23,280 +charge inside that surface. بمعنى آخر، غاوس قال الـ + +245 +00:21:23,280 --> 00:21:33,100 +flux، طبعاً + +246 +00:21:33,100 --> 00:21:39,440 +الـ flux، أيش فكرته هنا؟ حطّينا الإغلاق عشان أقول: فقط + +247 +00:21:39,440 --> 00:21:42,840 +هذا القانون للـ Closed Surfaces، بيساوي Q enclosed + +248 +00:21:42,840 --> 00:21:48,760 +على ε₀. الكرة التي رسمتها، فيها شحنتان: شحنة موجبة + +249 +00:21:48,760 --> 00:21:55,140 +و شحنة سالبة. كم flux؟ صفر، لأنك تجمع الشحنات + +250 +00:21:55,140 --> 00:21:59,200 +مش net electric charge؟ جمعت خمسة، ونقص خمسة، كم؟ + +251 +00:21:59,200 --> 00:22:04,140 +صفر. طبعاً، واحد من المنطق يقول: ليش الخمسة طلعت خارج + +252 +00:22:04,140 --> 00:22:07,760 +ونقص خمسة؟ دقيقة، الخطّ إذا كان الاختراق عكس بعيد + +253 +00:22:07,760 --> 00:22:12,560 +فالشغلة المنطقية، قطعا حلو. هذا هو قانون غاوس. + +254 +00:22:12,560 --> 00:22:19,360 +قعدنا ابنّه... اكتبوا كيما مرة، تمام؟ بيقول لي: chapter + +255 +00:22:19,360 --> 00:22:24,650 +واحد ذاكرينه، احنا قلنا إننا نأخذه، ليش؟ عشان كل + +256 +00:22:24,650 --> 00:22:28,470 +شوية بدنا ندقّ الباب، ونقول له: تعال، بدنا نشحت منك + +257 +00:22:28,470 --> 00:22:32,850 +هالـ gate من المعلومات، صح؟ أخذنا divergence theorem فيه + +258 +00:22:32,850 --> 00:22:36,510 +ولا لا؟ أيش هي الـ divergence theorem؟ التي تحوّل + +259 +00:22:36,510 --> 00:22:40,330 +volume integral لـ surface integral، نكتبه أنا وإياكم + +260 +00:22:40,330 --> 00:22:47,100 +التكامل... التكامل... بلاش المغلق، أول شيء نضبط الـ A.D + +261 +00:22:47,100 --> 00:22:53,160 +τ بيساوي التكامل المغلق لـ A.dS. ذاكرينه؟ + +262 +00:22:53,160 --> 00:22:57,760 +هجيت عينيّ... بدّي إياكم بس تذكرّوه. مرّ علينا هذا، حلو. أيش + +263 +00:22:57,760 --> 00:23:02,500 +الذي يحوّل surface إلى volume؟ الذي يحوّط الـ + +264 +00:23:02,500 --> 00:23:08,540 +volume، حلو. طيب، A... أشهد الله: أنا vector + +265 +00:23:08,540 --> 00:23:12,320 +vector رياضي، من الابتدائي. من الشابتر الثاني، خشينا + +266 +00:23:12,320 --> 00:23:17,220 +على الفيزياء. والـ A يمثّل كمية فيزيائية. بقدر أقول + +267 +00:23:17,220 --> 00:23:21,660 +أيه؟ ممكن تكون أيه هي؟ A is a vector، ولا لا؟ بس أيش + +268 +00:23:21,660 --> 00:23:25,320 +يمثّل؟ مجال الكهربائي. إذا هي كمية فيزيائية. إذا + +269 +00:23:25,320 --> 00:23:30,360 +الـ A.dS، هي E.dS؟ E.dS؟ بنحطّ مدارها dS ضدّ + +270 +00:23:30,360 --> 00:23:36,420 +الـ E، بنفع ولا لا؟ نحطّ volume، إذا بدل الـ E.dS + +271 +00:23:36,420 --> 00:23:40,640 +إذا حطّيت الـ D.dS، ضد الـ E، غلط؟ هذه قانون الـ + +272 +00:23:40,640 --> 00:23:45,320 +divergence. هذه إذا أخذنا مجسم واحد، تمام؟ طيب، هذه + +273 +00:23:45,320 --> 00:23:48,000 +ماذا تساوي؟ هجيت بـ idea جديدة، وحطّيت محلّ هذه + +274 +00:23:48,000 --> 00:23:52,480 +بصحّة ولا لا؟ بصحيح ليه؟ طيب، هذه أيش هي؟ هذه Q. طيب + +275 +00:23:52,480 --> 00:23:59,990 +مش Q تساوي تكامل ρ dτ ؟ أقول: لأنّ noting that + +276 +00:23:59,990 --> 00:24:05,470 +q enclosed تساوي ∫ρ dτ، معروفة. طيب، قل لي: أعوّض + +277 +00:24:05,470 --> 00:24:10,590 +body هادي... هادي... و body هادي... هادي، أيش صار عندك؟ + +278 +00:24:10,590 --> 00:24:15,350 +dτ dτ في طرفي المعادلة، في تكاملات، مظبوط ولا + +279 +00:24:15,350 --> 00:24:21,330 +لا؟ وأنتم هنا أيش قلتم؟ any closed surface. وبالتالي + +280 +00:24:21,330 --> 00:24:26,780 +هذا الـ volume، أي volume. لو كان مخروط، السطح يكون + +281 +00:24:26,780 --> 00:24:31,660 +volume مخروط. لو كان أسطوانة، volume الأسطوانة. نكمّل + +282 +00:24:31,660 --> 00:24:35,700 +تعوّجات، الـ volume تبعه، مظبوط ولا لا؟ وبالتالي هذا + +283 +00:24:35,700 --> 00:24:40,520 +الـ volume arbitrary، أيّ volume. بيقول: بما أنه + +284 +00:24:40,520 --> 00:24:44,230 +since it is true for any volume، أيّ volume. لأنّ أنتم + +285 +00:24:44,230 --> 00:24:47,970 +قلتم لي: أيّ surface. في هذه الحالة، ما زال الـ τ و + +286 +00:24:47,970 --> 00:24:52,850 +الـ S هذول arbitrary. بتقدر تقول رياضياً أنّ هادي + +287 +00:24:52,850 --> 00:25:02,010 +تساوي هادي. ∇.E تساوي ρ/ε₀. عالم + +288 +00:25:02,010 --> 00:25:05,860 +الرياضيات بيقول هذا الكلام. عالم الرياضيات بيقول هذا + +289 +00:25:05,860 --> 00:25:08,700 +الكلام، بدون الخوض في التفاصيل. والذي يأخذ مع + +290 +00:25:08,700 --> 00:25:12,200 +الدكتور سمير فرحات، يسأله، ويشتقه له، بيخليه... + +291 +00:25:12,200 --> 00:25:17,640 +بيدّيها homework، في لها إثبات، إذا كان الـ τ is + +292 +00:25:17,640 --> 00:25:23,120 +arbitrary. يا بنات، لأنّ في النهاية أنا هادي من هاي + +293 +00:25:23,120 --> 00:25:27,260 +الدعوة في الـ volume، أنتم ما لكم دعوة فيه، هذا الـ volume + +294 +00:25:27,260 --> 00:25:32,120 +وبالتالي الـ E، جاء من شغل ثاني، أنتم تجلبون الـ flux لـ E، و + +295 +00:25:32,120 --> 00:25:35,860 +الـ E مصدره ليس هو الـ volume، ما له دعوة فيه، وبالتالي + +296 +00:25:35,860 --> 00:25:38,720 +بسهولة بتقول: هذا يساوي هذا، لأنّ الـ volume + +297 +00:25:38,720 --> 00:25:42,720 +arbitrary، ما له دعوة فيه، غير ما بتغيّرش الذي بداخله + +298 +00:25:42,720 --> 00:25:47,200 +وبالتالي ∇.E تساوي ρ/ε₀ + +299 +00:25:47,200 --> 00:25:55,340 +هذا أيش بيقول؟ الـ divergence، ∇.E، تساوي ρ + +300 +00:25:55,340 --> 00:26:01,660 +على ε₀. بتقول: divergence of E تساوي مقدار + +301 +00:26:02,710 --> 00:26:06,270 +حكيت أنا في chapter واحد، أقول لكم: الـ divergence يقيس + +302 +00:26:06,270 --> 00:26:09,850 +انتشار الـ vector، والمجال الكهربائي الذي أنا + +303 +00:26:09,850 --> 00:26:14,210 +تعلّمنا أنّه ينتشر ولا ما ينتشرش؟ ينتشر طبعاً، يعيش + +304 +00:26:14,210 --> 00:26:17,110 +بِاِعتِماد على... إذا كان فيه شحنات أصلاً. إذا ما فيش شحنات + +305 +00:26:17,110 --> 00:26:20,050 +ما فيش مجال، ما هو. وبالتالي منطقي أنّ الـ divergence + +306 +00:26:20,050 --> 00:26:22,850 +بيعتمد على ε₀ أصلاً. لو ما فيش شحنة، و + +307 +00:26:22,850 --> 00:26:28,790 +ما فيش أيه، وما فيش divergence. فهذا قانون غاوس، هذا + +308 +00:26:28,790 --> 00:26:35,730 +هو الشكل الأشهر لقانون غاوس، يسمّى هذا الـ + +309 +00:26:35,730 --> 00:26:38,950 +differential form of Gauss's law. الـ differential + +310 +00:26:38,950 --> 00:26:42,270 +form. طبعاً هذا في السنة الأولى، يسمّونه الـ integral + +311 +00:26:42,270 --> 00:26:49,550 +form. ليش؟ هذا فيه أيه؟ طيب، وهذا؟ هذا أيش هذا؟ ∂/∂x + +312 +00:26:49,550 --> 00:26:52,990 +على ∂/∂x، مظبوط؟ يعني بُفاضِل، عشان كده يسمّونه + +313 +00:26:52,990 --> 00:26:56,540 +الـ differential form، الشكل التفاضلي تبع Gauss's + +314 +00:26:56,540 --> 00:27:01,520 +Law. طبعاً، يمكن في نهاية المادة في كهرومغناطيسية 2، نروح + +315 +00:27:01,520 --> 00:27:05,240 +نجمع احنا كل القوانين الكهرومغناطيسية، أشهر قوانين + +316 +00:27:05,240 --> 00:27:09,060 +التي تحكم كل الكهرومغناطيسية. من أولهم، أوّل قانون الذي + +317 +00:27:09,060 --> 00:27:12,580 +هنجيبه، قانون غاوس، بس نكتبه بهذه الصيغة. فهذه + +318 +00:27:12,580 --> 00:27:17,000 +الصيغة الأشهر، والأعمل للمستوى المتقدّم من الطلاب. + +319 +00:27:17,000 --> 00:27:19,680 +طبعاً، نحن مستوى السنة الأولى، وفي المدارس كنا + +320 +00:27:19,680 --> 00:27:23,740 +نأخذ هذا القانون. بس هذا هو differential form of + +321 +00:27:23,740 --> 00:27:29,120 +Gauss's law. سنستخدمها كثيراً، طبعاً كلكم تعرفون + +322 +00:27:29,120 --> 00:27:34,900 +أنّه لما أيّ واحد يعمل قانون، يُبنى، يطلع، بيصير فيه + +323 +00:27:34,900 --> 00:27:39,700 +حراك شديد بين العلماء في الدنيا كلها، هل معقول هذا + +324 +00:27:39,700 --> 00:27:42,860 +كلام صحيح ولا لا؟ أنا جيت، غاوس قال: عندي أنا + +325 +00:27:42,860 --> 00:27:46,100 +قانون، صار الكلّ يقول: يشوف هذا الواحد يحكي صح ولا لا. + +326 +00:27:46,100 --> 00:27:49,780 +صفحته بيضاء، ولا صفحته مش بيضاء؟ بده تعديل ولا بده + +327 +00:27:49,780 --> 00:27:53,560 +إعادة تعديل؟ قالوا: طيب، هو أنت غاوس، حلو، إما أنّه حاجة + +328 +00:27:53,560 --> 00:27:57,140 +ممكن نستفيد منها كثير، لكن أنا شدّة المجال، في عندي + +329 +00:27:57,140 --> 00:28:01,140 +قانون سابق، اللي عنه مين؟ أيش أخذنا؟ قانون كولوم + +330 +00:28:01,140 --> 00:28:09,500 +هذا؟ كولوم. طيب، يا ترى: قل له: قانون يُجيب الـ divergence + +331 +00:28:09,500 --> 00:28:13,720 +سبعة، بيطلع زي ما بتقول يا غاوس، ولا لا؟ تمام، الـ + +332 +00:28:13,720 --> 00:28:17,340 +divergence of E. دعنا نتخيّل الـ divergence of E + +333 +00:28:17,340 --> 00:28:22,160 +بطريقة أخرى، وبعدين نشوف غاوس بيحكي صح ولا لا. أنتم + +334 +00:28:22,160 --> 00:28:25,880 +ملاحظين، احنا بيقول: غاوس's law، صار قانون، لأنّ الكلّ + +335 +00:28:25,880 --> 00:28:31,000 +دخل، ودخل صحّ، فصار هذا، خلاص، هذا قانون، مثبت، انتهى. + +336 +00:28:31,870 --> 00:28:36,670 +نظرياً وتطبيقياً، قانون عليه شوية تعديل في الآخر + +337 +00:28:36,670 --> 00:28:41,710 +بنحكي عنه لسبب ما، لكن في الآخر، بيقول: قانون، كلّهم + +338 +00:28:41,710 --> 00:28:48,790 +الكتبه أوّل مرة، قال لي: E تساوي k dQ/R² R + +339 +00:28:48,790 --> 00:28:54,950 +^، والـ dQ تساوي ρ dτ، بصيغته العامة الأكبر، صحّ + +340 +00:28:54,950 --> 00:28:59,470 +ولا لا؟ طيب، يلاّ، جب لي الـ divergence، يلاّ، بدّي نشغل + +341 +00:28:59,470 --> 00:29:02,390 +رياضيات، ونرجع للـ chapter الماضي. هجيب، بدّي أعمل + +342 +00:29:02,390 --> 00:29:08,190 +divergence؟ قال لي: ها + +343 +00:29:08,190 --> 00:29:13,390 +ذاكرين هذا؟ واحد، اللي هو R^/R²، لما + +344 +00:29:13,390 --> 00:29:18,270 +قلنا عند الـ R تساوي صفر، بعمل مشكلة، وجاء ديراك حلّ + +345 +00:29:18,270 --> 00:29:23,810 +مشكلتنا، وقال: هذا نكتبه: أربعة باي... الـ... الـ + +346 +00:29:23,810 --> 00:29:30,950 +δ، صحّ ولا لا؟ قال لي: but، الـ but، أسرع هذه، R R^ + +347 +00:29:30,950 --> 00:29:36,710 +على R² تساوي أربعة باي... δ(r)، ديراك دلتا + +348 +00:29:36,710 --> 00:29:43,830 +function. ديراك دلتا function، آية جمانة ديراك + +349 +00:29:43,830 --> 00:29:48,440 +دلتا function، مرت؟ مرات. احنا اتفجّأنا، بس قولوا لي: مرات + +350 +00:29:48,440 --> 00:29:52,920 +ويعطيكم العافية. أكثر من كده ما بدّيش منكم، إنّها والله + +351 +00:29:52,920 --> 00:29:58,870 +مش غريبة، جرّبناها، أو خلّيني أقول: شفناها قبل كده، مش + +352 +00:29:58,870 --> 00:30:04,450 +أكثر، ولا تقربلنا لحظة تقولوا: هاتي كشف الميلاد، ولا + +353 +00:30:04,450 --> 00:30:08,270 +شهادة الميلاد؟ لا، شفناها قبل كده. إذا هذه الـ + +354 +00:30:08,270 --> 00:30:12,070 +Dirac Delta Function. اللي أنا بسّ مجرد بدّي منكم إنّ + +355 +00:30:12,070 --> 00:30:14,990 +الواحد يقول: آه، دي مرّت علينا، ادّونا إياها، أقدر + +356 +00:30:14,990 --> 00:30:20,310 +أفتح الكتاب، وأجيب إياها. أيه هي صفاتها؟ من صفاتها + +357 +00:30:20,310 --> 00:30:29,810 +أذكّركم: ∫ f(x) δ(x-x') dx = f(x') + +358 +00:30:29,810 --> 00:30:31,290 +شرطة + +359 +00:30:37,750 --> 00:30:41,410 +بقدر أجيبها، بقدر أجيبها، المهم ما زال مرت عليّ، بقول + +360 +00:30:41,410 --> 00:30:44,530 +تعال ندور وين جأت، تأخذوا دقيقة، دي اثنين، بنجيبها + +361 +00:30:44,530 --> 00:30:51,070 +بلاقي هالصفة دي، بقول: طيب، تعال الآن، ما زال هادي بدّي + +362 +00:30:51,070 --> 00:30:56,370 +أحطّ محلّها هنا، صارت هيك، ها، جِئت بهذا الجزء، وحطّيت أربعة + +363 +00:30:56,370 --> 00:31:02,000 +باي، then، الـ R script، كما تعرفون هي R، نخصم R شرطة، + +364 +00:31:02,000 --> 00:31:06,660 +مظبوط؟ جأت هذه، يلاّ كملّيها، حسب هذه الصفة بقدر + +365 +00:31:06,660 --> 00:31:10,860 +أقول: هي عبارة عن f(R)، لأنّ بكمل على R شرطة، يعني + +366 +00:31:10,860 --> 00:31:18,980 +بكمل على R شرطة الآن، مش x، فبتصير f(x)، بتكون f(R) + +367 +00:31:18,980 --> 00:31:19,880 +of R + +368 +00:31:28,870 --> 00:31:30,970 +الـ divergence التي أخرجتها من كلّهم، هي نفسها تبع + +369 +00:31:30,970 --> 00:31:36,950 +غاوس؟ مش نفسها تبع غاوس؟ هي نفسها تبع غاوس، إذا + +370 +00:31:36,950 --> 00:31:42,950 +قانون غاوس صحيح. ∇.E تساوي ρ/ε₀، قطعاً صحّ + +371 +00:31:42,950 --> 00:31:48,010 +طيب، + +372 +00:31:48,010 --> 00:31:52,170 +بده يكمل، يشوف. قال لي: طيب، لو كملنا طرفي + +373 +00:31:52,170 --> 00:31:54,850 +المعادلة، كملنا طرفي المعادلة + +374 +00:31:59,360 --> 00:32:03,580 +جاء شوية شوية الـ Divergence theorem، بدّي أعيد + +375 +00:32:03,580 --> 00:32:10,120 +استخدامها هنا. أيش بتعطيني هذه بالصّير؟ بالصّير: تكامل + +376 +00:32:10,120 --> 00:32:19,000 +مغلق E.dS، ε₀ بقدر أطلعها برّا؟ واحد + +377 +00:32:19,000 --> 00:32:23,440 +على ε₀، أيش بيبقى داخل التكامل؟ ρ dτ، + +378 +00:32:24,150 --> 00:32:28,670 +الـ Q. وأيّ Q، أقوله: ما هو الـ τ، وهذا الذي بداخل + +379 +00:32:28,670 --> 00:32:31,850 +الـ... الـ... السطح. إذا هي Q enclosed، وهي قانون غاوس + +380 +00:32:31,850 --> 00:32:37,050 +من وين جبته؟ من كلّه، أنا هذا جبته من كلّه، معناته + +381 +00:32:37,050 --> 00:32:41,310 +غاوس كلامه صحيح، غاوس كلامه صحيح، والقانون الذي + +382 +00:32:41,310 --> 00 + +445 +00:37:55,110 --> 00:38:01,650 +لازم يكون فيه تماثل وطبعا كلمة تماثل سهلناها قليلا + +446 +00:38:01,650 --> 00:38:05,770 +ثلاث احتمالات، العربي عليها الشمّة، جميع الأشكال + +447 +00:38:05,770 --> 00:38:09,430 +القراوية، مش أول واحدة تقول إنها أحلى شكل. قراوية، إيش نطّت؟ + +448 +00:38:09,430 --> 00:38:14,310 +وده قالت كرة لأنها فيها تماثل عالي في الأشكال + +449 +00:38:14,310 --> 00:38:23,190 +القراوية كلها، كبيرها وصغيرها، مصمتها ومجوفها كلها + +450 +00:38:23,190 --> 00:38:27,850 +ينطبق عليها قانون جاوس لأنه ممكن أنت تلاقي سطح + +451 +00:38:27,850 --> 00:38:34,130 +مغلق يكون ثابت عليها. طيب، إيش كمان؟ جميع الأشكال + +452 +00:38:34,130 --> 00:38:41,290 +الصواني، تخيلوا يا بنات هذا كله مشحون وبدي أرسم + +453 +00:38:41,290 --> 00:38:44,330 +خطوط المجال. يالا يا نور، من هنا، كيف خط المجال؟ + +454 +00:38:44,330 --> 00:38:49,600 +بالـ GG؟ عليك يعني جاي؟ للخارج. طب وهنا؟ نفس الأشياء + +455 +00:38:49,600 --> 00:38:55,060 +يعني متوازي؟ آه. طب هنا؟ للأعلى. بس للأعلى؟ ما ينفعش + +456 +00:38:55,060 --> 00:38:59,580 +هيك وهيك وهيك وهيك؟ شوفي أنتِ هنا صار المجال هنا + +457 +00:38:59,580 --> 00:39:03,460 +لما رسمت، ونور جالس واحد عليّ والتاني عليّ متوازي + +458 +00:39:03,460 --> 00:39:07,780 +إذًا فيه ثابت هنا فوق، لما وصلت للطرف، لقيت أنه بطّل + +459 +00:39:07,780 --> 00:39:15,750 +متوازي. صار بشع تمام؟ جميعها بصورة هدول النقطتين + +460 +00:39:15,750 --> 00:39:20,670 +بعيدهم عنك. أنتِ تدعي أني مش شايفهم؟ ممكنش أبعدهم + +461 +00:39:20,670 --> 00:39:25,410 +عني، لما يكون هذا طويل جدًا، أنا مش شايفة، إذًا عدم + +462 +00:39:25,410 --> 00:39:30,410 +الثبات، أنا مش بمنطقتي، فهمتوا عليّ؟ هذا طبعًا + +463 +00:39:30,410 --> 00:39:33,710 +cylinder وكل أشكال الصواني بشرط أن تكون طويلة + +464 +00:39:33,710 --> 00:39:39,670 +جدا. طيب نرجع كمان مرة، هذا + +465 +00:39:39,670 --> 00:39:45,660 +plane، مظبوط ولا.. أنتِ في السمك شايفة طالع عليّ؟ + +466 +00:39:45,660 --> 00:39:48,600 +بترسمي خطوط مجالي. أنا عندي نقطة، هذه كيف خط + +467 +00:39:48,600 --> 00:39:54,540 +المجالي؟ طب واللي جنبها؟ واللي جنبها؟ طب هنا؟ + +468 +00:39:54,540 --> 00:40:01,300 +هيك وهيك وهيك وهنا؟ بس بس بس بس بس بس بس بس + +469 +00:40:01,300 --> 00:40:02,680 +بس بس بس بس بس بس بس بس بس بس بس بس بس بس + +470 +00:40:02,680 --> 00:40:06,360 +بس بس بس بس بس بس بس بس بس بس بس بس بس بس + +471 +00:40:06,360 --> 00:40:08,180 +بس ب + +472 +00:40:13,060 --> 00:40:17,620 +إذن cylindrical with infinite length، السلندر بشرط + +473 +00:40:17,620 --> 00:40:24,420 +الطول يكون كبير، planes with infinite extents + +474 +00:40:24,420 --> 00:40:29,560 +أبعادها مالها infinite، يعني plane أنتِ مش شايفة + +475 +00:40:29,560 --> 00:40:37,280 +أطرافه. سؤال، خذوا راحتكم، أنا Gauss's law بقى أسمحش أطالب + +476 +00:40:37,280 --> 00:40:40,640 +في سنة تالية أي غلط فيه عيب + +477 +00:40:42,670 --> 00:40:46,950 +عيبة كبيرة إن واحدة في سنة تالتة بتاخد كهرومغناطيسية + +478 +00:40:46,950 --> 00:40:49,750 +نصها بتتغلط في Gauss's law. في سنة أولى بنقول.. + +479 +00:40:49,750 --> 00:40:52,450 +بيصيرون نضحك عليهم، بيقولوا والله لسه مش فاهمين + +480 +00:40:52,450 --> 00:40:55,450 +الموضوع، بهمش، بس في سنة تالتة مش مسموح أنهم + +481 +00:40:55,450 --> 00:41:01,630 +يغلطوا فيه، فهمتوا عليّ؟ مش مسموح، آه، كنا نجيب أسئلة + +482 +00:41:01,630 --> 00:41:05,470 +في سنة أولى، وهنجيب أسئلة في سنة تالتة، وبتشبه + +483 +00:41:05,470 --> 00:41:06,550 +الأسئلة بتاعة السنة أولى + +484 +00:41:09,260 --> 00:41:12,520 +تشبهها، بس الآن المفروض طالب سنة تالتة هو بيحل + +485 +00:41:12,520 --> 00:41:17,880 +Gauss's law زي وقال إنه يجي سؤال خمسة في ثلاثة، هيك، + +486 +00:41:17,880 --> 00:41:25,600 +خمسة في ثلاثة، جدعان، الكلية، تمام؟ + +487 +00:41:25,600 --> 00:41:29,420 +مش مسموح لو حد يغلط في Gauss's law، بيجي فهمه مظبوط + +488 +00:41:29,420 --> 00:41:35,520 +عشان كده أي سؤال بيخصه، وأنا دائمًا بقول Gauss's law + +489 +00:41:35,520 --> 00:41:42,580 +سهل، ممتحن فيه تركات، بس بدي أفهم إيش هو عن إيش + +490 +00:41:42,580 --> 00:41:47,080 +بيحكي وإيش بيسوي ساعتها، ما فيش مجال غلط فيه لأنه + +491 +00:41:47,080 --> 00:41:51,620 +محدود الأفكار، هو أصلاً هو بيقول لك أنا ما أنطبق إلا على + +492 +00:41:51,620 --> 00:41:55,320 +ثلاثة أشكال، أشكال كروية، أشكال صواني كبيرة جدًا + +493 +00:41:55,320 --> 00:42:00,270 +أشكال مسطحة كبيرة جدًا. بعد كده بيقول لك أنا ما أقدرش هذه + +494 +00:42:00,270 --> 00:42:03,070 +الشكل أبطّل وأنا أستطيع التعامل معها، كل هذا + +495 +00:42:03,070 --> 00:42:07,110 +أفعله لأن هذه ما أطلّعها برا، حلو. قال لي هذه + +496 +00:42:07,110 --> 00:42:10,210 +الأشكال الثلاثة اللي ممكن أطبّق عليها قانون جاوس + +497 +00:42:10,210 --> 00:42:16,170 +طيب الآن عشان أطبّق قانون جاوس، قال لي for any + +498 +00:42:16,170 --> 00:42:20,150 +closed surface، for any closed surface + +499 +00:42:24,530 --> 00:42:27,950 +طبعًا في حديث شريف عن الرسول صلى الله عليه وسلم + +500 +00:42:27,950 --> 00:42:32,730 +مش بقول مخيرة بين أمرين في الدين، اللي اختاره أيصار + +501 +00:42:32,730 --> 00:42:37,540 +هما هيهدونك، بقول لك وهنا نفس العملية، بقول لك + +502 +00:42:37,540 --> 00:42:40,020 +for any closed surface. طب وأنت ليش تروح للصعب؟ + +503 +00:42:40,020 --> 00:42:45,440 +تروح للسهل. بدي سطح إيه سهل؟ يعني السطح يكون إيه + +504 +00:42:45,440 --> 00:42:48,320 +ثابت عليه، the Gaussian surface اللي بدك تحصّله + +505 +00:42:48,320 --> 00:42:53,840 +الآن مغلق should have the same symmetry as that of + +506 +00:42:53,840 --> 00:42:58,500 +the charge distribution. أنتِ بدك تحسبي الـ flux على + +507 +00:42:58,500 --> 00:43:05,990 +سطح مغلق، الشكل اللي بدك تحسبي مجاله معروف، تختاري الآن + +508 +00:43:05,990 --> 00:43:11,690 +سطح مغلق تحسبي الـ flux عليه. طيب، الثلاث أنواع اللي + +509 +00:43:11,690 --> 00:43:18,250 +فيها ينطبق قانون جاوس: ثلاثة: كروي، اسطواني، مسطح + +510 +00:43:18,250 --> 00:43:24,430 +الشكل الكروي، إيش السطح اللي بيشبهه؟ كرة، صح ولا لأ؟ + +511 +00:43:24,430 --> 00:43:29,270 +الشكل الاسطواني، إيش السطح المغلق اللي بيشبهه؟ + +512 +00:43:30,620 --> 00:43:34,740 +الاسطوانة، مظبوط؟ طب إيش ضال؟ ضال المسطح، إيش اللي + +513 +00:43:34,740 --> 00:43:38,320 +بيشبه هذا؟ فيه دي سطح مغلق، جدًا متوازي مستطيلات؟ + +514 +00:43:38,320 --> 00:43:42,240 +متوازي مستطيلات هذا، bravo. متوازي مستطيلات هذا، طيب + +515 +00:43:42,240 --> 00:43:46,900 +ليش أنتِ قلتِ متوازي مستطيلات هذا؟ أبعادها مفتوحة، يعني زي + +516 +00:43:46,900 --> 00:43:50,300 +.. عشان هذا مستطيل؟ طب أنا لو كده أقول لك هذا مش + +517 +00:43:50,300 --> 00:43:56,200 +مستطيل، هذا disk، هذا disk، هيأخذ كرة. طب أنتِ هتخليها + +518 +00:43:56,200 --> 00:44:01,170 +كرة؟ bravo عليكِ. طب إيش عرفكِ؟ طب إيش أقول كده؟ أنا + +519 +00:44:01,170 --> 00:44:08,390 +وياكِ نتحاجج، disk هذا ولا مستطيل؟ احكيه، صوت عالي، + +520 +00:44:08,390 --> 00:44:12,930 +هذا disk ولا مستطيل؟ ليش أنتِ قلتِ مستطيل وأنا بقول لك + +521 +00:44:12,930 --> 00:44:17,690 +disk؟ حاجة أنا بقول لكم هذا، شايفين وأنتن؟ هذا + +522 +00:44:17,690 --> 00:44:21,190 +كبير ولا مش كبير؟ إذا بدي أضمن إنه هذا كبير، مين + +523 +00:44:21,190 --> 00:44:26,350 +شايف منكن الأطراف؟ الأطراف ما حد شايفها، مش عارفين + +524 +00:44:26,350 --> 00:44:29,690 +نقول كبير جدًا؟ مش عارفين نقول كبير جدًا؟ طب وأنتِ ليش + +525 +00:44:29,690 --> 00:44:32,250 +بتقولي لأنه.. لأنكِ أنتِ ادعيتِ إنكِ أنتِ شايفة + +526 +00:44:32,250 --> 00:44:38,730 +الأطراف. إذا شفت الأطراف بطّل كبير، صح؟ هلقيت.. أنتِ + +527 +00:44:38,730 --> 00:44:41,070 +لو مش شايفة الأطراف بتقولي لأ أنتِ الصح، لأ أنا الصح + +528 +00:44:41,070 --> 00:44:46,790 +التانية صح، مظبوط ولا لأ؟ إذا كان disk، إيش بدي + +529 +00:44:46,790 --> 00:44:50,850 +آخذ؟ اسطوانة. أو إذا كان متوازي مستطيلات، متوازي + +530 +00:44:50,850 --> 00:44:54,650 +مستطيلات. نرجع لحديث الرسول: مخيّر بين اثنين، إيش + +531 +00:44:54,650 --> 00:45:02,320 +أختار؟ أسهل، لأن الاسطوانة كم سطح لها؟ + +532 +00:45:02,320 --> 00:45:05,500 +ثلاثة. بس، الله، كم سطح ياخدوا؟ مهم ليش؟ واحدة واحدة، + +533 +00:45:05,500 --> 00:45:09,520 +هو كم، وأنا كم سطح فيه، متوازي مستطيلات، من أيّ صُوَر، + +534 +00:45:09,520 --> 00:45:16,940 +إذا بيكونوا، صدّقوني، هذا disk عشان أسهل لكم، disk صح + +535 +00:45:16,940 --> 00:45:22,640 +ومستطيل صح، والـ disk أسهل، بس الاسطوانة أسهل، تفهمنا؟ + +536 +00:45:22,640 --> 00:45:25,240 +إذا ما فهمتوا بقول لكم، السطح المغلق اللي هتختاروه + +537 +00:45:25,240 --> 00:45:29,180 +بدي يكون مغلق، لا كرة، لا صورة، طب واحد بيقول طب + +538 +00:45:29,180 --> 00:45:32,500 +أنا مغامر، صعب، بدي أختار متوازي مستطيلات، بتطلع + +539 +00:45:32,500 --> 00:45:36,500 +نفس الإجابة، بقول له بتطلع، بس أطول ممكن يكون، كنتوا + +540 +00:45:36,500 --> 00:45:39,780 +عليّ؟ وهنعملها متوازي مستطيلات مرة عشان نتصدقوا + +541 +00:45:39,780 --> 00:45:42,480 +بيطلع نفس الإجابة، وتقولوا الصعب دائمًا ابعدوا عنه + +542 +00:45:42,480 --> 00:45:47,380 +الواحد، تفهمنا هيك؟ تمام، إذا أنا بدي أختار سطح + +543 +00:45:47,380 --> 00:45:52,160 +جاوس. بعد كده، دي شحنة، ما لهاش دعوة بالسطح المغلق + +544 +00:45:52,160 --> 00:45:54,820 +اللي بدي أختاره. عشان كده السطح المغلق بسميه سطح + +545 +00:45:54,820 --> 00:45:58,500 +Gauss. هذا أنا بختاره، وGauss قال لي اختار السهل + +546 +00:45:58,500 --> 00:46:01,820 +تمام؟ لأنه بيقول لي أنا Gauss، الـ surface، إذا + +547 +00:46:01,820 --> 00:46:05,980 +بيقول لي the Gaussian surface should have the same + +548 +00:46:05,980 --> 00:46:10,460 +symmetry، لازم يشبه، يكونوا نفس الـ symmetry of that + +549 +00:46:10,460 --> 00:46:14,890 +of the charge distribution. كرة، اختار كرة؟ اسطوانة، + +550 +00:46:14,890 --> 00:46:21,310 +اختار اسطوانة. ليه نختار اسطوانة؟ تمام. طيب، مش + +551 +00:46:21,310 --> 00:46:25,450 +بيقول لك أوجدي شدة المجال at point، هذه الـ point لازم + +552 +00:46:25,450 --> 00:46:28,530 +تجي على السطح اللي بيتختار، لازم تكون موجودة على + +553 +00:46:28,530 --> 00:46:31,930 +السطح. هنكررها وإحنا بنشتغل. it the point at which + +554 +00:46:31,930 --> 00:46:35,610 +E is to be evaluated should lie on the Gaussian + +555 +00:46:35,610 --> 00:46:40,470 +surface. تمام، هدول الثلاث شروط اتحققوا، وقال لك أنتَ + +556 +00:46:40,470 --> 00:46:46,630 +وأنت مغمض، في عندك واحد من احتمالين، لهذا، هذا E بيكون + +557 +00:46:46,630 --> 00:46:52,910 +constant، ساعتها بيساوي فيه، بتطلّعه برا. أو إذا مش + +558 +00:46:52,910 --> 00:46:58,450 +ثابت، بيكون الـ product بتاعهم 90 درجة، وقصاني 90، + +559 +00:46:58,450 --> 00:47:02,990 +90. إذا، الله يسهّل عليه، التكامل بيصير صفر. إذا + +560 +00:47:02,990 --> 00:47:07,050 +ما قدرتِش تطلعي E برا، ويسهل التكامل، بيقول التكامل كله + +561 +00:47:07,050 --> 00:47:11,410 +بيطير معاكِ، فهمتوا عليّ كيف؟ بيقول لي if these + +562 +00:47:11,410 --> 00:47:17,650 +conditions are satisfied، E will be either constant + +563 +00:47:18,590 --> 00:47:22,610 +أما هيكون constant over the Gaussian surface بحيث + +564 +00:47:22,610 --> 00:47:29,370 +such that we can pull E out of the integral، أو E + +565 +00:47:29,370 --> 00:47:33,430 +is perpendicular to the surface such that the + +566 +00:47:33,430 --> 00:47:38,790 +integral is zero. إذا صار عندك احتمالين، لا ثالثة، لا + +567 +00:47:38,790 --> 00:47:44,470 +رابع. يا إما التكامل سهل بتطلعي E وتكاملي، يا إما التكامل + +568 +00:47:44,470 --> 00:47:49,680 +بصعوبة، وبيروح. تفهمنا يا بنات؟ هذا قانون جاوس + +569 +00:47:49,680 --> 00:47:52,500 +يعطيكم العافية diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..8ff63ec97cfb7d011a772d3676b5537aeca1ccd5 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q_postprocess.srt @@ -0,0 +1,2276 @@ +1 +00:00:20,840 --> 00:00:27,100 +خلّينا نكمل chapter 2 اللي بتحدث عن شدة المجال + +2 +00:00:27,100 --> 00:00:34,140 +الكهربائي اتفقنا انه كل شحنة بتولد مجال كهربائي + +3 +00:00:34,140 --> 00:00:39,960 +وبالتالي شدة المجال الكهربائي اتفقنا انه بتسوي 1 + +4 +00:00:39,960 --> 00:00:50,130 +على 4 πاي ابسلونو تكامل DQ over R square R hatR + +5 +00:00:50,130 --> 00:00:54,190 +Script طبعا وهذه الـ DQ زي ما انتوا عارفين لها + +6 +00:00:54,190 --> 00:00:59,010 +تلاتة احتمالات اما Lambda DL او Sigma D A او Rho D + +7 +00:00:59,010 --> 00:01:06,350 +Tau فهذه اما Lambda D L Prime Sigma D A Prime او + +8 +00:01:06,350 --> 00:01:14,370 +Rho D Tau برعاية حلو في المنطقة هذه في مجال + +9 +00:01:14,370 --> 00:01:20,270 +كهربائي طيب المجال كبير ولا صغير؟موجود ولا مش + +10 +00:01:20,270 --> 00:01:26,010 +موجود؟ كيف نتعامل معاه؟ فصار اتفقوا أنه بدنا + +11 +00:01:26,010 --> 00:01:30,390 +نعملنا حاجة نصطلح بنبعد فيها أنه لما أشوف من + +12 +00:01:30,390 --> 00:01:35,070 +الرسمة أعرف هذا المجال إيه شكله؟ و كبير ولا صغير؟ + +13 +00:01:35,070 --> 00:01:42,370 +موجود ولا مش موجود؟ ده مش أنا صاحب الغرفة تمام + +14 +00:01:42,370 --> 00:01:50,590 +هذه الشغلة قالوا بدناخطوط المجال المثلها بخطوط + +15 +00:01:50,590 --> 00:01:55,970 +اصطلاحية وهمية نسميها خطوط المجال الكهربائي عشان + +16 +00:01:55,970 --> 00:02:00,070 +انا لما ارسم رسمة وانت ترسم رسمة لنفس الشكل التالو + +17 +00:02:00,070 --> 00:02:03,810 +زي بعض ونقول اه في و الله خطأ في مجال اذا هذه + +18 +00:02:03,810 --> 00:02:11,500 +الشغله عشان فقط تسهل التعاملخلّينا نقول التعامل ما + +19 +00:02:11,500 --> 00:02:16,700 +بين المهتمين على طريق الورق أو اللوح أو النت أو + +20 +00:02:16,700 --> 00:02:22,360 +البيتكوميةهذه الخطوط بنسميها الـ Field Lines خطوط + +21 +00:02:22,360 --> 00:02:29,720 +المجال إذا صار منقول إن المجال الكهربائي بدي أمثله + +22 +00:02:29,720 --> 00:02:34,800 +The electric field in a region is represented بدي + +23 +00:02:34,800 --> 00:02:39,800 +أمثله by an imaginary lines إذا هذه الخطوط + +24 +00:02:39,800 --> 00:02:45,720 +استلاحية هم بالحقيقة موجودين؟ أنا لما أقول في مجال + +25 +00:02:45,720 --> 00:02:51,290 +في غرفة بمسك خطوطبمسكش بس انا بدي ارسمهم و امثلهم + +26 +00:02:51,290 --> 00:02:56,490 +بخطوط وهمية called the electric field line with + +27 +00:02:56,490 --> 00:03:01,430 +the following properties زي مع التفاق نتوي عشان + +28 +00:03:01,430 --> 00:03:06,150 +انا و انتي و كل الدنيا ترسم نفس الخطوط لنفس الشكل + +29 +00:03:06,150 --> 00:03:09,730 +لابد انه نتفج عايش هذه كيف هرسم الخطوط وكون لها + +30 +00:03:09,730 --> 00:03:16,050 +صفات مشتركة صح ولا لأ هذه الخطوط هتكون كالتاليأول + +31 +00:03:16,050 --> 00:03:21,710 +شرط وأول صفة لها They begin from positive charges + +32 +00:03:21,710 --> 00:03:25,530 +and terminate at negative charges إذن هذه الخطوط + +33 +00:03:25,530 --> 00:03:29,050 +تبدأ من الشحنات الموجباة وين بتروح؟ الشحنات + +34 +00:03:29,050 --> 00:03:32,920 +السالبة هو كام شحنا في الدنيا فيهموجب و سالب تمام + +35 +00:03:32,920 --> 00:03:35,980 +طبعا اتخيل تقعون في شحنة موجبة اقبضوا و اطلعوا + +36 +00:03:35,980 --> 00:03:40,060 +دركم ماشيين صح ولا لأ؟ مافيش سالب دركم رايحين + +37 +00:03:40,060 --> 00:03:44,080 +للمدى النهاية لما تدوروا على السالب حلو they can + +38 +00:03:44,080 --> 00:03:50,460 +never cross مستحيل يتقاطعوا احنا بنعرف ان ال care + +39 +00:03:50,460 --> 00:03:54,840 +لل E زيرو مافيش دوران لل E و بالتالي they can + +40 +00:03:54,840 --> 00:04:03,020 +never cross تمام their numberper unit area is + +41 +00:04:03,020 --> 00:04:05,300 +proportional to the intensity of the electric + +42 +00:04:05,300 --> 00:04:11,100 +field at that point تمام، رسمت، في خطوط، رسمت + +43 +00:04:11,100 --> 00:04:15,560 +خطوط، طب إيش بده عرفك إن شدت المجال هنا أكبر من + +44 +00:04:15,560 --> 00:04:19,240 +هنا؟ بقوله اتطلع على المنطقة، إذا رجيت الخطوط + +45 +00:04:19,240 --> 00:04:24,040 +كثيفة، معناه أن المجال مالو، كبير، إذا الخطوط + +46 +00:04:24,040 --> 00:04:28,120 +دحلة، متفرقة، معناه أن المجال ضعيف، تمام؟ خلنا + +47 +00:04:28,120 --> 00:04:36,220 +نعمل مثال بسيط يا بناتهي شحنة تمام؟ + +48 +00:04:36,220 --> 00:04:38,740 +بدنا نرسم خطوط المجال اللي هي من الشحنة كيف + +49 +00:04:38,740 --> 00:04:42,040 +نرسمها؟ هي شحنة مودة بقى، إيش بيقولي خطوط المجال + +50 +00:04:42,040 --> 00:04:44,920 +من أين بتبدأ؟ من المودة بتروح على السالب، فيش + +51 +00:04:44,920 --> 00:04:47,460 +السالب بتروح على المنه نهاية يعني، بقوله هاي خط + +52 +00:04:47,460 --> 00:04:56,760 +طبعا بتبقى متمتدة، هاي خطوهي خط وهي خط وهي خط وهي + +53 +00:04:56,760 --> 00:05:03,360 +خط وكمان خط وكمان خط وكمان خط وكمان خط وكمان خط + +54 +00:05:03,360 --> 00:05:03,460 +وكمان خط وكمان خط وكمان خط وكمان خط وكمان خط وكمان + +55 +00:05:03,460 --> 00:05:08,180 +خط وكمان خط وكمان خط وكمان خط وكمان خط وكمان خط + +56 +00:05:08,180 --> 00:05:10,860 +وكمان خط وكمان خط وكمان خط وكمان خط وكمان خط وكمان + +57 +00:05:10,860 --> 00:05:12,760 +خط وكمان خط وكمان خط وكمان خط وكمان خط وكمان خط + +58 +00:05:12,760 --> 00:05:17,150 +وكمان خط وكمان خط وكمان خبدي أنا أشوف رقم 3 هذه، + +59 +00:05:17,150 --> 00:05:21,950 +إيش بيقولّي؟ بيقولّي عدد خطوط المجال لكل وحدة + +60 +00:05:21,950 --> 00:05:26,330 +مساحة، أنا الكثافة، هو بيقولّي كثافة الخطوط، دايما + +61 +00:05:26,330 --> 00:05:29,990 +كثافة الخطوط لها دعوة إما ب volume أو ب area، صح؟ + +62 +00:05:29,990 --> 00:05:35,680 +لما يقولّي إحنا كثافة السكان، كيف بتحسب؟على .. على + +63 +00:05:35,680 --> 00:05:38,800 +السكان، على مساحة مظبوط دايما الكثافة إيها دعوة + +64 +00:05:38,800 --> 00:05:43,520 +بأبعاد جالي مذاب تبتد كثافات، جيبلك مساحة معينة، + +65 +00:05:43,520 --> 00:05:49,620 +مساحة هذه اللي أنا بدي أرسمها أكم خط اخترقها، + +66 +00:05:49,620 --> 00:05:55,290 +تلاتة، حلو، نفس المساحة، ابعدها شويةأكبر خط + +67 +00:05:55,290 --> 00:05:59,410 +اخترقها بقول هنا أكثر من هنا إيش يعني؟ شدة المجال + +68 +00:05:59,410 --> 00:06:02,330 +هنا أكبر من هنا وهذه شغفة منطقية ولا لأ؟ لأنه كل + +69 +00:06:02,330 --> 00:06:08,650 +ما ابعدت كل ما المجال خاف تمام؟ سؤال يلكم الآن لما + +70 +00:06:08,650 --> 00:06:18,350 +يكون المجال منتظم يعني ثابت منيح بدي شكل بحيث أن + +71 +00:06:18,350 --> 00:06:23,630 +طول ما أنا ماشي عدد خطوط المجال يتقطع المساحة كل + +72 +00:06:23,630 --> 00:06:29,570 +واحدةكيف تكون هذه الخطوط متوازية؟ + +73 +00:06:29,570 --> 00:06:33,530 +بدا تكون الخطوط متوازية لما تكون الخطوط متوازية زي + +74 +00:06:33,530 --> 00:06:39,610 +هيك وجيت + +75 +00:06:39,610 --> 00:06:44,230 +و جيبته مساحة و طول ما انتوا ماشيين لو كان في خط + +76 +00:06:44,230 --> 00:06:48,110 +يعني افترض انه هذه المساحة اللي انتوا ماشيين فيها + +77 +00:06:48,110 --> 00:06:53,130 +و هى بتمشيين عدل يعني في عند نقطة معينة بصير خطين + +78 +00:06:53,130 --> 00:06:58,650 +اقطعوهاعشان كده قالوا المجان المنتظم يمثل بخطوط + +79 +00:06:58,650 --> 00:07:05,910 +متوازية زاكرين المكثف؟ + +80 +00:07:05,910 --> 00:07:09,550 +مر عليكم المكثف ولا لا؟ كيف نرسم خطوط المجال فيه؟ + +81 +00:07:09,550 --> 00:07:14,630 +متوازية لأن شدية المجال بدي تكون جوا uniform تمام؟ + +82 +00:07:14,630 --> 00:07:22,250 +حلوإذا الـ number per unit area is proportional to + +83 +00:07:22,250 --> 00:07:26,450 +the intensity of the electric field at that point + +84 +00:07:26,450 --> 00:07:31,470 +the direction of the electric field at a point is + +85 +00:07:31,470 --> 00:07:35,930 +tangent to these lines at that point طبعا انت لما + +86 +00:07:35,930 --> 00:07:39,330 +تقوللي من المدبلة السالب لو بدي أقولك عند النقطة + +87 +00:07:39,330 --> 00:07:43,110 +هادمين قوللي كيف اتجاه المجان اتجاه المجان + +88 +00:07:46,150 --> 00:07:49,430 +بتكون كيف؟ اتجاه المجال، محنا ما بنحط شحنة موجة و + +89 +00:07:49,430 --> 00:07:53,030 +ببقى بنقول كيف بتتحرك، اذا هي اتجاه المجال طب هذا + +90 +00:07:53,030 --> 00:07:55,790 +الخط الأزرق و الخط الأصمر tangent to each other + +91 +00:07:55,790 --> 00:08:00,130 +ولا لا؟ tangent to each otherطبعاً لأنك انت بترسم + +92 +00:08:00,130 --> 00:08:05,010 +خطوط مجال لازم يكون لهم علاقة بعيد حلو هل تلت + +93 +00:08:05,010 --> 00:08:09,850 +أشكال مشهورة لخطوط المجال اللي لهم قال لي هاي في + +94 +00:08:09,850 --> 00:08:12,890 +عندك شحنة موجبة و شحنة سالبة أنا الموجبة لحالها + +95 +00:08:12,890 --> 00:08:17,830 +رسمتها إيش عاملي؟ من الموجب و الراح للسالب طيب + +96 +00:08:17,830 --> 00:08:26,350 +الآن بدي منكم اتجاه شدة المجال عند النقطة هذهمماس، + +97 +00:08:26,350 --> 00:08:32,710 +إذا بعمل مماس و بقول هيها، حسب الاتجاه، مماس عنده + +98 +00:08:32,710 --> 00:08:37,470 +نقطة، بقول هي اتجاه المجال، فهمتوا عليها؟ طبعا + +99 +00:08:37,470 --> 00:08:41,230 +واضح الآن بالنسبة للخطوط المرسومة، وين أكبر كثافة + +100 +00:08:41,230 --> 00:08:47,320 +موجودة؟جنب الشحنات صح؟ لأن number of electric + +101 +00:08:47,320 --> 00:08:51,080 +field lines بال unit area is proportional to the + +102 +00:08:51,080 --> 00:08:55,180 +intensity of the electric field طبعا هذه لما تكون + +103 +00:08:55,180 --> 00:08:58,120 +negative و negative و positive و positive ايش + +104 +00:08:58,120 --> 00:09:01,080 +أفراج هذا عن هذا؟ هنا الشحنات داخلة و هنا الشحنات + +105 +00:09:01,080 --> 00:09:08,190 +طالعة، بس تمام يا بنات؟ أي صفصة؟هذه خطوط المجال + +106 +00:09:08,190 --> 00:09:13,890 +إذا المجال اصطلح على تمثيله بخطوط مجال هي خطوط + +107 +00:09:13,890 --> 00:09:16,970 +المجال إلها بعضها الصفار اللي إنتوا عارفينها مين + +108 +00:09:16,970 --> 00:09:22,010 +مدارس صح ولا لأ و بس مجرد إحنا بنعيد عشان تقعد + +109 +00:09:22,010 --> 00:09:30,830 +المعلومة صح تم فلكس and gauss law جديد سمعتوا فيه + +110 +00:09:30,830 --> 00:09:36,790 +طيب، طيب هجومانة على طول بذكرها حلوflux يعني + +111 +00:09:36,790 --> 00:09:43,790 +التدفق الفيض كلمة التدفق مربوطة في ذهن بالميّه + +112 +00:09:43,790 --> 00:09:49,530 +تتدفق الميّه بتفيض لما يصير فيضان الفيضانات بإيش + +113 +00:09:49,530 --> 00:09:53,350 +مربوطة؟ماذا هو البفيدة؟ طول عمرنا احنا صغار كنا + +114 +00:09:53,350 --> 00:09:57,050 +نقول فعشان زمان احنا كنا ناخد تاريخ وجغرافية مصر + +115 +00:09:57,050 --> 00:10:00,990 +ففيضان نهر النيل أخدناه لما زهجنا في المدارس تمام؟ + +116 +00:10:00,990 --> 00:10:05,770 +فيضان نهر بفيض بحر بفيض، مية بتفيض لما شدت الدنيا + +117 +00:10:05,770 --> 00:10:11,030 +وسرع النفج عن النفاض وخرب الدنيا، اذا الفيض + +118 +00:10:11,030 --> 00:10:15,650 +والتدفق مربوط بالمية جالي المية كيف تمشي؟ تمشي اما + +119 +00:10:15,650 --> 00:10:21,950 +بمواصير او بنهور في مسارلما تتدفق، معناته بتمشي، + +120 +00:10:21,950 --> 00:10:27,430 +صح؟ بتمشي، يعني بتخترق أسطح جادة، بتخترق أسطح + +121 +00:10:27,430 --> 00:10:33,950 +اتصوروري أنتوا المجال الكهربائي، بدي أرسم خطوط، + +122 +00:10:33,950 --> 00:10:37,810 +لما الخطوط زي الميه و هي ماشية، إذا برضه خطوط + +123 +00:10:37,810 --> 00:10:44,310 +المجال تتدفق، كيه بدي أجيسها؟هذا التدفق صار مصطلح + +124 +00:10:44,310 --> 00:10:50,190 +علمي الـ flux بس بسميه ال electric flux الفيت + +125 +00:10:50,190 --> 00:10:57,150 +كهربائي مش أكترتمام اذا بيقوللي ايش هو تعريفه + +126 +00:10:57,150 --> 00:11:00,970 +العلمي بيقوللي the electric flux لرمزه capital Phi + +127 +00:11:00,970 --> 00:11:05,310 +is a measure طبعا التدفق لازم يكون خلال ال surface + +128 +00:11:05,310 --> 00:11:09,550 +through a surface is a measure of the number of + +129 +00:11:09,550 --> 00:11:14,690 +field lines passing through us through the surface + +130 +00:11:14,690 --> 00:11:22,250 +تمام هاي تعريفه هو أكم خط مجال اخترق سطح الماء + +131 +00:11:22,250 --> 00:11:26,410 +اخترق يعني اتدفقتمام؟ يجب أن يكون هناك قانون لكل + +132 +00:11:26,410 --> 00:11:30,170 +هذا الكلام إذا كنت تحصل على ترجمة و تضع قانون اللي + +133 +00:11:30,170 --> 00:11:33,610 +يمثلك عدد خطوط المجال شدة المجال إذا لديك عدد خطوط + +134 +00:11:33,610 --> 00:11:37,350 +ولا خطوط كم يظهر؟ Zero إذا عدد الخطوط كبيرة يعني + +135 +00:11:37,350 --> 00:11:43,430 +أيه كبيرة؟ إذا هذا يمثلك إياها إذا is a measure of + +136 +00:11:43,430 --> 00:11:47,250 +the number of field lines through that surface + +137 +00:11:47,250 --> 00:11:54,940 +حلو؟ إذا number of field linesهؤلاء اللي بدأ + +138 +00:11:54,940 --> 00:12:04,920 +امثلهم بـ E و الـ Surface ما هو S مساحة مساحة إذا + +139 +00:12:04,920 --> 00:12:13,240 +نجلد تالي الـ Flux بتساوي تكامل E ضد الـ DS نجلد + +140 +00:12:13,240 --> 00:12:17,620 +ضد ال product هذه من أين جت؟ من أين جت؟ هذا سطح + +141 +00:12:17,620 --> 00:12:20,740 +ولا لا؟ حلو وهذه خط مجاني + +142 +00:12:23,700 --> 00:12:29,780 +خلّينا نقول هذا خط مجال هجيت هيك خط المجال اخترق + +143 +00:12:29,780 --> 00:12:34,380 +الورقة؟ ما اخترقش الورقة، في اختراق؟ ماكنتش + +144 +00:12:34,380 --> 00:12:38,080 +باخترقها، إذا هيك عملت، قلنا على هيك طيب، + +145 +00:12:38,080 --> 00:12:43,020 +مااخترقش، يعني كم الفجر بتتوقع يطلع؟ Zero، حلو هذه + +146 +00:12:43,020 --> 00:12:47,480 +الـS اللي انت حطيتليها في القانون S هي vector ولا + +147 +00:12:47,480 --> 00:12:54,970 +scalar أول؟ كيف تجهها؟عمودي على السطح هيفا يعني؟ + +148 +00:12:54,970 --> 00:12:57,810 +جدتش الزاوية بينها و بين إيه؟ تسعين و ال product + +149 +00:12:57,810 --> 00:13:03,270 +بتبع تسعين و لا كوسين؟ كوسين التسعين؟ Zero Zero؟ + +150 +00:13:03,270 --> 00:13:09,010 +صح و الله طلعت Zero طيب سؤالي هجت مين أكبر اختراق؟ + +151 +00:13:09,010 --> 00:13:15,610 +هيك و لا هيك؟ عمودي عمودي لما تكون عمودي كيف إيه؟ + +152 +00:13:15,610 --> 00:13:20,960 +إيه هيها؟cos zero one لما تصغري الزوابصير أقل من + +153 +00:13:20,960 --> 00:13:26,700 +one إذا أكبر فيد و تدفق لما يكون عمودي على ال area + +154 +00:13:26,700 --> 00:13:29,900 +بمعنى أخر موازيه إذا عشان كده جات ال dot product + +155 +00:13:29,900 --> 00:13:34,840 +إذا ال dot product هذه عشان يميزني إن الخط مائل + +156 +00:13:34,840 --> 00:13:41,720 +ولا مش مائل وبالتالي كل ممل بيكون بجل مقدار + +157 +00:13:41,720 --> 00:13:48,020 +اختراقه صح ولا لأ هذا هو الفيد الكهربائيأذن هو + +158 +00:13:48,020 --> 00:13:56,080 +scalar quantity بتسوي تكامل E ضد DS طيب بدا يديب + +159 +00:13:56,080 --> 00:13:58,640 +الفيض على اللوح كله اللوح surface ولا مش surface + +160 +00:13:58,640 --> 00:14:07,240 +surface حلو طيب و بقولك E ثابت على كل اللوح إذا + +161 +00:14:07,240 --> 00:14:10,640 +ثابت على كل اللوح إيش بتسوي في التكامل بطلّحها برا + +162 +00:14:10,640 --> 00:14:14,610 +التكامل إيش بتدخل جوا التكاملDS ماذا يعني دي اس؟ + +163 +00:14:14,610 --> 00:14:18,750 +اس لمن؟ للوح ايش مساعدتي اللوح؟ طول بعرض؟ ميموس + +164 +00:14:18,750 --> 00:14:23,390 +تطير؟ بجيبها، ميثابت؟ خلّي التكامل ميثابت ماش يعني + +165 +00:14:23,390 --> 00:14:27,910 +ميثابت؟ بقولك والله شدت المجال هنا غير عن شدت + +166 +00:14:27,910 --> 00:14:31,370 +المجال هنا هي اي واحد و اتنين، بقولك والله و لا اي + +167 +00:14:31,370 --> 00:14:37,630 +شيء، خلّيك زي ما انت جيبلي هذه دي + +168 +00:14:37,630 --> 00:14:41,390 +اس، مش كل اللوح، جيبلي ال reflex عليها، و جيبلي + +169 +00:14:41,390 --> 00:14:45,750 +هذهالـ Flux عليها و اللي وراها و اللي وراها و معهم + +170 +00:14:45,750 --> 00:14:50,070 +يعني كاملهم بتجيب كل شي ولا لا؟ إذا إيه المثابتة؟ + +171 +00:14:50,070 --> 00:14:53,530 +لكن إذا إيه الثابتة؟ هي هي تطلع برا و كأنك انت + +172 +00:14:53,530 --> 00:15:00,910 +بتجمع مساحات و هي مساحة القليل حلو هذا قانون الجوز + +173 +00:15:00,910 --> 00:15:04,550 +اللي احنا أخدناه هذا الـ Flux لسه قانون الجوز + +174 +00:15:04,550 --> 00:15:12,910 +ماجهش جوز is low هجد جوز يجي عيش جالقال أنا بدي + +175 +00:15:12,910 --> 00:15:18,050 +أسفل منها المفهوم و جاوس ركّز و انتبه لشغل معين + +176 +00:15:18,050 --> 00:15:23,350 +قال السطح المغلق ياله الخصوصية يا بناته تمام؟ ياله + +177 +00:15:23,350 --> 00:15:27,770 +الخصوصية؟ قال إيش أحلى سطح مغلق عنكم؟ كرة، مش + +178 +00:15:27,770 --> 00:15:32,050 +دائرة، تمام؟ الدائرة على السطح مفتوح دالبالك، disk + +179 +00:15:32,050 --> 00:15:37,830 +يعني كرة، هجيت بدي أرسم كرة، هذه كرة مش دائرة كرة، + +180 +00:15:37,830 --> 00:15:44,100 +تمام؟ حلوهذه الشحنة شايفينها برا ولا جوا؟ برا + +181 +00:15:44,100 --> 00:15:50,420 +ارسمولي خطوط مجالي إلها، مو جبهية هذا خط ممكن + +182 +00:15:50,420 --> 00:15:54,160 +محتمل ولا مش محتمل؟ طبعا في خط هنا وفي خط وينما + +183 +00:15:54,160 --> 00:16:02,140 +كان بدكم، وهي خط بيجي للخط هذا اخترق السكرة أخر + +184 +00:16:02,140 --> 00:16:09,040 +مرة المرة هو؟ داخللو أتيت بدي أحسب الـ Flux مش + +185 +00:16:09,040 --> 00:16:16,180 +بقولي Dot Product طيب، بدي DS عند النقطة هذه DS، + +186 +00:16:16,180 --> 00:16:19,600 +ده الخارج و عمودي عمودي كيف يعني؟ أيش بتكون عمودي؟ + +187 +00:16:19,600 --> 00:16:26,540 +باتجاه إيش؟ معمودي على المماس عمودي على السطح يعني + +188 +00:16:26,540 --> 00:16:30,160 +عمودي على المماس، باتجاه؟نص القطر هو العمود على + +189 +00:16:30,160 --> 00:16:32,560 +المماسك باتجاه نص القطر في الأقطار يعني لو أردت أن + +190 +00:16:32,560 --> 00:16:40,280 +يكون هنا هاي دي اس باتجاه + +191 +00:16:40,280 --> 00:16:49,620 +نص القطر طب عندك نقطة هذه طب + +192 +00:16:49,620 --> 00:16:52,780 +بدك تضطر product بين إيش و إيش تضطر product احكوا + +193 +00:16:52,780 --> 00:16:58,860 +اسأليها محتاجة والله محتاجة مش عايزة + +194 +00:17:00,700 --> 00:17:04,980 +مولوش يا عزيزي؟ إيش اتجاهها دلوقتي؟ هادي دي S + +195 +00:17:04,980 --> 00:17:11,260 +دلبالك و هادي دي S عند كل نقطة و هادي E و هادي E + +196 +00:17:11,260 --> 00:17:17,580 +هيها E طبعا هنا طب أنا بدي الزاوية في القانون بين + +197 +00:17:17,580 --> 00:17:25,820 +من و مين؟ قبل دكتور بدكتور طب هنا أجازيش الزاوية؟ + +198 +00:17:25,820 --> 00:17:32,720 +من فرية ولا حد؟ طب و هنا؟بتعرفوا ان كوصين المنفرجة + +199 +00:17:32,720 --> 00:17:40,260 +سالب كوصين الحد موجب بلغوا بعض طلع ال flux صفر طلع + +200 +00:17:40,260 --> 00:17:42,960 +ال flux صفر و بلغوا بعض طبعا لأنه نفسهم يكونوا + +201 +00:17:42,960 --> 00:17:48,480 +واحد مكمل للتانية فهمتوا عليها؟ لو جانوا عاملها هي + +202 +00:17:48,480 --> 00:17:52,480 +قالت طلع ال flux صفر طب و هنا نفسها عملية هذا الخط + +203 +00:17:52,480 --> 00:17:58,020 +اختلق مرة و لا مرتين مرة داخل و مرة خارج طلع صفر + +204 +00:17:59,150 --> 00:18:03,570 +واحد بيقول طب هو ممكن يكون مش سفر و اكتش ممكن يكون + +205 +00:18:03,570 --> 00:18:14,270 +مش سفر كيف نعرف يعني؟ هو خط لما تكون الشحن جوا هب + +206 +00:18:14,270 --> 00:18:22,350 +الشحن هنا ارسم خطوط مجاني كم مرة قرأت؟ مرة إذا إجا + +207 +00:18:22,350 --> 00:18:28,430 +جاوس قال اه السطح المغلق ضيح حالكبديك الفلكس تطلع + +208 +00:18:28,430 --> 00:18:32,390 +دي وفيه شحنات ولا مافيش شحنات؟ مافيش شحنات قطعا + +209 +00:18:32,390 --> 00:18:36,990 +الفلكس قداش؟ Zero فى شحنات فى فلكس طب كيف بدي + +210 +00:18:36,990 --> 00:18:40,290 +أحسبه؟ جال بتناسب تناسب انترضيا مع الشحنات اللى + +211 +00:18:40,290 --> 00:18:44,730 +جوا طبعا عملية حساب وعملية تجارب فجال Gauss's law + +212 +00:18:44,730 --> 00:18:51,290 +فعدنا حنثبت أنه صحيح حلو + +213 +00:18:51,290 --> 00:18:55,470 +مش DS vector؟ كيف بدي أكون اتجاهها؟ عمودي هو على + +214 +00:18:55,470 --> 00:19:00,690 +نفسعلى الجوس الصدر جوس ولا مش جوس؟ طب اه الجوس كيف + +215 +00:19:00,690 --> 00:19:07,070 +بدي أجيب عمودي عليه؟ احكي يا نور اتحضرك لفي بالك + +216 +00:19:07,070 --> 00:19:10,370 +انت محتاجة عليها بدي تجيب البديل عشان نصل لقنعة + +217 +00:19:10,370 --> 00:19:17,390 +أنا وياكي كيف بدي أجيب عمودي على جوس؟ بدي أجيب + +218 +00:19:17,390 --> 00:19:22,230 +عمودي على مماسه فانتي عادية؟ ايش العمودي على + +219 +00:19:22,230 --> 00:19:22,930 +المماس؟ + +220 +00:19:25,930 --> 00:19:30,790 +نص القطر فدائما ال area بتكون اتجاهها باتجاه أنصار + +221 +00:19:30,790 --> 00:19:36,730 +الأقطع عند النقطة هذه اللي انا حطيته هي المركز قلت + +222 +00:19:36,730 --> 00:19:40,810 +هذا هو العمودي عليه فاعتبرته انه لازم يمر ع المركز + +223 +00:19:41,750 --> 00:19:47,070 +عند النقطة هذه مدته للمركز فدائما العمودي على أي + +224 +00:19:47,070 --> 00:19:50,970 +جوس يكون باتجاه نص القطر دالك القوس لأن القوس جزء + +225 +00:19:50,970 --> 00:19:53,770 +من دائرة في كل حوالي اللي نص القطر ولا مالوش يكون + +226 +00:19:53,770 --> 00:19:56,790 +باتجاه نص القطر فدائما المعلومة اللي بتحطيها في + +227 +00:19:56,790 --> 00:20:00,590 +بالك اللي أنا بثبتها من سنة أولى ان العمودي على + +228 +00:20:00,590 --> 00:20:05,350 +الجوس يكون باتجاه نص القطر دالك القوس فمت؟ هذه + +229 +00:20:05,350 --> 00:20:12,060 +العلاقة العلاقة ال direction مش أكتر تمام غيرهاإذا + +230 +00:20:12,060 --> 00:20:17,460 +جوزيز إيش جال؟ بعد ما عملها الملاحظة هذه جال for + +231 +00:20:17,460 --> 00:20:23,080 +any closed surface فقط للأسطح المغلقة بحكي طبعا + +232 +00:20:23,080 --> 00:20:26,660 +إنتوا اختارتوا أحلى سطح مغلق اللي هو الكرة إيش + +233 +00:20:26,660 --> 00:20:34,560 +أسطح مغلقة تانية؟ أسطوانة إيش؟ طيب أنا مدن منتظمين + +234 +00:20:34,560 --> 00:20:39,280 +أول واحدة واحدة مدن منتظم الحنوين مكعب أو مكعب + +235 +00:20:39,280 --> 00:20:40,920 +المستطيلات طيب + +236 +00:20:43,190 --> 00:20:49,550 +مخروض؟ هرم؟ أي حاجة تنكطع عيشتها سطح مغلق بيضلوا + +237 +00:20:49,550 --> 00:20:53,550 +ولا لأ؟ سطح مغلق إذا الأسطح المغلق كتيرة لكن + +238 +00:20:53,550 --> 00:20:58,010 +الحلوة الكرة والصوانة والساطيلات والهرم والمقروض + +239 +00:20:58,010 --> 00:21:01,630 +الشغلات والمنشور ومش عارف إيش ما كل هذه شغلات تمام + +240 +00:21:01,630 --> 00:21:05,470 +إذا إيش بيقول for any closed surface أي سطح مغلق + +241 +00:21:05,470 --> 00:21:10,600 +بشرط أن يكونوا closed the electric fluxالـ flux + +242 +00:21:10,600 --> 00:21:14,480 +خلاله طبعا الـ closed surface مفهوم دي وقته حاجب + +243 +00:21:14,480 --> 00:21:18,120 +فهو surface is proportional to the net electric + +244 +00:21:18,120 --> 00:21:23,280 +charge inside that surface بمعنى آخر جوز قال الـ + +245 +00:21:23,280 --> 00:21:33,100 +flux طبعا + +246 +00:21:33,100 --> 00:21:39,440 +ال flux إيش أفراجة هنا؟ حطينا لإغلاقعشان أقول فقط + +247 +00:21:39,440 --> 00:21:42,840 +هذا القانون للـ Closed Surfaces بيساوي Q enclosed + +248 +00:21:42,840 --> 00:21:48,760 +على Y نوت الكرة التي رسمك فيها شحنتين شحنة موجبة + +249 +00:21:48,760 --> 00:21:55,140 +وجدها شحنة سالبة كم فاكس؟ Zero لأنك تجمع الشحنات + +250 +00:21:55,140 --> 00:21:59,200 +مش الـ net electric charge جمعت خمسة ونقص خمسة كم؟ + +251 +00:21:59,200 --> 00:22:04,140 +Zero طبعا واحد من المنطق يقول ليش الخمسة طلعت خط + +252 +00:22:04,140 --> 00:22:07,760 +نقص خمسة دقيق الخطإذا الإختراق بيكون عكس بعيد + +253 +00:22:07,760 --> 00:22:12,560 +فالشغلة المنطقية قطعا حلو هذا هو القانون Gauss + +254 +00:22:12,560 --> 00:22:19,360 +قعدنا ابنه اكتبوا كيما مرة تمام بيقولي chapter + +255 +00:22:19,360 --> 00:22:24,650 +واحد ذاكرينه احنا قولنا بإننا ناخده ليش؟عشان كل + +256 +00:22:24,650 --> 00:22:28,470 +شوية بدنا ندق الباب و نقوله تعالي بدنا نشحط منك + +257 +00:22:28,470 --> 00:22:32,850 +هال gate معلومات صح؟ أخدت divergence theorem فيه + +258 +00:22:32,850 --> 00:22:36,510 +ولا لا؟ إيش هي ال divergence theorem؟ اللي بتحول + +259 +00:22:36,510 --> 00:22:40,330 +volume انتجرال ل surface انتجرال نكتبه أنا وياكم + +260 +00:22:40,330 --> 00:22:47,100 +التكامل .. التكامل بلاش المغلق أول دل ضبط ال AD + +261 +00:22:47,100 --> 00:22:53,160 +τاو بيسوي التكامل المغلق لإيه ضد ال DS ذاكرينه؟ + +262 +00:22:53,160 --> 00:22:57,760 +هجيت عيني بديكن بس تذكروه مر علينا هذا، حلو، إيش + +263 +00:22:57,760 --> 00:23:02,500 +اللي بتجرب ال surface لل volume؟ اللي بتحوّط ال + +264 +00:23:02,500 --> 00:23:08,540 +volume، حلو، طيبA .. اشهد ايه؟ انا vector كان + +265 +00:23:08,540 --> 00:23:12,320 +vector رياضي الان ابتدائي من الشبطر التاني خشين + +266 +00:23:12,320 --> 00:23:17,220 +على الفيزيا والـA بيتمثل كمية فيزيائية بقدر اقول + +267 +00:23:17,220 --> 00:23:21,660 +ايه ممكن تكون ايه هي؟ A is a vector ولا لا؟ بس ايش + +268 +00:23:21,660 --> 00:23:25,320 +بيتمثل؟ مجال الكهربائي، اذا هي كمية فيزيائية اذا + +269 +00:23:25,320 --> 00:23:30,360 +الـA ضد الـDS هي ايه ضد الـDS؟ بيدحط مدارها دل ضد + +270 +00:23:30,360 --> 00:23:36,420 +الـE، بنفع ولا لا؟ بحط volumeأذا بدل الـ E ضد الـ + +271 +00:23:36,420 --> 00:23:40,640 +D اذا حطت الـ D لضد الـ E غلط؟ هذه قانون الـ + +272 +00:23:40,640 --> 00:23:45,320 +divergence هذه اذا أخذت مجتمر واحد تمام؟ طيب هذه + +273 +00:23:45,320 --> 00:23:48,000 +ماذا متساوي؟ هاجيت بيدا game هادي وحاط محل هادي + +274 +00:23:48,000 --> 00:23:52,480 +بصح ليه ولا لا؟ بصح ليه طيب هذه ايش هي؟ هذه Q طيب + +275 +00:23:52,480 --> 00:23:59,990 +مش Q بتساوي تكامل ρو D تاوأه فأقول لأن noting ذات + +276 +00:23:59,990 --> 00:24:05,470 +q enclosed بتساوي raw d tau معروفة طيب قللي أعوض + +277 +00:24:05,470 --> 00:24:10,590 +body الهادي هادي و body الهادي هادي إيش صار عندك؟ + +278 +00:24:10,590 --> 00:24:15,350 +d tau d tau في طرفي المعادلة في تكاملات مظبوط ولا + +279 +00:24:15,350 --> 00:24:21,330 +لأ؟ وانت هنا إيش قلت؟ any closed surface وبالتالي + +280 +00:24:21,330 --> 00:24:26,780 +هذا ال volume any volumeلو كان مخلوط، السطح بيكون + +281 +00:24:26,780 --> 00:24:31,660 +volume مخلوط، لو كان صوانة، volume الصوانة، تنكم + +282 +00:24:31,660 --> 00:24:35,700 +تعوجة، ال volume تبحة، مظبوط ولا لأ؟ وبالتالي هذا + +283 +00:24:35,700 --> 00:24:40,520 +ال volume arbitrary، أي volume، بيقول بما انه + +284 +00:24:40,520 --> 00:24:44,230 +since it is true for any volume، أي volumeلأن انت + +285 +00:24:44,230 --> 00:24:47,970 +قولتلي أي surface في هذه الحالة ما زال الـ TAU و + +286 +00:24:47,970 --> 00:24:52,850 +الـ S هدول arbitrary بتقدر تقول رياضيا ان هادي + +287 +00:24:52,850 --> 00:25:02,010 +بتسوي هادي دل ضد ال E بتسوي رو على إيسلون نون علم + +288 +00:25:02,010 --> 00:25:05,860 +الرياضيات بيقول هذا الكلامعلم الرياضيات بيقول هذا + +289 +00:25:05,860 --> 00:25:08,700 +الكلام بدون الخوض في التفاصيل و اللي بياخد مع + +290 +00:25:08,700 --> 00:25:12,200 +الدكتور سامير فرحات يسأله و يشتقله إياه بيخليه .. + +291 +00:25:12,200 --> 00:25:17,640 +بديها homework في إلها إثبات إذا كان ال tau is + +292 +00:25:17,640 --> 00:25:23,120 +arbitrary يا بنات لأنه في نهاية أنا هادي من هاي + +293 +00:25:23,120 --> 00:25:27,260 +دعوة بال volumeانت هذا مالك دعوة فيه هذا volume + +294 +00:25:27,260 --> 00:25:32,120 +وبالتالي E جاي من شغل تاني انت بتجيب ال flux ل E و + +295 +00:25:32,120 --> 00:25:35,860 +E مصدره مش هو ال volume مالوش دعوة فيه وبالتالي + +296 +00:25:35,860 --> 00:25:38,720 +بسهولة بتقول هذا بيسوي هذا لأن ال volume + +297 +00:25:38,720 --> 00:25:42,720 +arbitrarily مالوش دعوة فيه غير مابتغيرش اللي جوا + +298 +00:25:42,720 --> 00:25:47,200 +وبالتالي del ضد ال E بيسوي rho على epsilon note + +299 +00:25:47,200 --> 00:25:55,340 +هذا ايش بيقول ال divergence del ضد ال Eبتساوي رو + +300 +00:25:55,340 --> 00:26:01,660 +على إبسلون موت بتقول divergence of E بتساوي مقدار + +301 +00:26:02,710 --> 00:26:06,270 +حكيت انا في شبتر واحد اقول لكم الـ divergence بجيس + +302 +00:26:06,270 --> 00:26:09,850 +انتشار ال vector والمجال الكهربائي اللي انا + +303 +00:26:09,850 --> 00:26:14,210 +اتعلمنا انه ينتشر ولا ما ينتشرش بينتشر طبعا عايش + +304 +00:26:14,210 --> 00:26:17,110 +باعتمد جالي اذا كان فيه شحنات اصلا اذا مافيش شحنات + +305 +00:26:17,110 --> 00:26:20,050 +مافيش مجال ما هو وبالتالي منطق ان ال divergence + +306 +00:26:20,050 --> 00:26:22,850 +بيستوروه على absolute note اصلا لو مافيش شروة و + +307 +00:26:22,850 --> 00:26:28,790 +مافيش ايه و مافيش divergence فهذا قانون Gauss هذا + +308 +00:26:28,790 --> 00:26:35,730 +هوالشكل الأشهر لقانون Gauss بيسمي هذا الـ + +309 +00:26:35,730 --> 00:26:38,950 +differential form of Gauss's law الـ differential + +310 +00:26:38,950 --> 00:26:42,270 +form طب وهذا طبعا السنة الأولى بيسموه الـ integral + +311 +00:26:42,270 --> 00:26:49,550 +form ليش؟ هداش فيه؟ طب و هده؟ هده إيش هده؟ بارش + +312 +00:26:49,550 --> 00:26:52,990 +على بارش ال X، مظبوط؟ يعني بفاضل، عشان كده بيسموها + +313 +00:26:52,990 --> 00:26:56,540 +الـ differential formالشكل التفاضلي تبع Gauss's + +314 +00:26:56,540 --> 00:27:01,520 +Law طبعا يمكن في نهاية المادة في كهرومانصية 2 نروح + +315 +00:27:01,520 --> 00:27:05,240 +نجمع احنا كل القوانين الكهرومانصية اشهر قوانين + +316 +00:27:05,240 --> 00:27:09,060 +اللي بتحكم كل الكهرومانصية من أولهم اول قانون اللي + +317 +00:27:09,060 --> 00:27:12,580 +هنجيبه قانون Gauss بس نكتبه بهذا الصيغة فهذا + +318 +00:27:12,580 --> 00:27:17,000 +الصيغة الأشهر الأعمل للمستوى المتقدم من الطلاب + +319 +00:27:17,000 --> 00:27:19,680 +طبعا احنا مستوانا في السنة الأولى وفي المدارس كنا + +320 +00:27:19,680 --> 00:27:23,740 +ناخد هذا القانون بس هذا هوdifferential form of + +321 +00:27:23,740 --> 00:27:29,120 +Gauss's law سنستخدمها كثيرًا طبعًا كلكم بتعرفوا + +322 +00:27:29,120 --> 00:27:34,900 +أنه لما أي واحد يعمل قانون يبنى يطلع بيصير فيه + +323 +00:27:34,900 --> 00:27:39,700 +حراك شديدبين العلماء في الدنيا كلها هل معقول هذا + +324 +00:27:39,700 --> 00:27:42,860 +كلام صحيح ولا لأ؟ انا جيت جاوس قال يا عندي انا + +325 +00:27:42,860 --> 00:27:46,100 +قانون صار الكل يقول يشوف هذا الواحد يحكي صح ولا لأ + +326 +00:27:46,100 --> 00:27:49,780 +صفحته بيضا ولا صفحته مش بيضا بده تعديل ولا بده + +327 +00:27:49,780 --> 00:27:53,560 +اشتعديل قالوا طيب هو انت جاوس حلو اما انه حاجة + +328 +00:27:53,560 --> 00:27:57,140 +ممكن نستفيد منها كتير لكن انا شدة المجال في عندي + +329 +00:27:57,140 --> 00:28:01,140 +قانون سابق اللي عنه مين؟ ايش خدتنا قانون الجابل + +330 +00:28:01,140 --> 00:28:09,500 +هذا؟ كلور طيب يا ترىقلوه قانون يجيب الـdivergence + +331 +00:28:09,500 --> 00:28:13,720 +سبعه بيطلع زي ما بتقول يا جاوس ولا لا تمام ال + +332 +00:28:13,720 --> 00:28:17,340 +divergence of E دعنا نتخيل ال divergence of E + +333 +00:28:17,340 --> 00:28:22,160 +بطريقة أخرى وبعدين نشوف جاوس بيحكي صح ولا لا انتوا + +334 +00:28:22,160 --> 00:28:25,880 +ملاحظين احنا بيقول جاوس is law صار قانون لأن الكل + +335 +00:28:25,880 --> 00:28:31,000 +دخل ودخل صح فجاله هذا خلاص هذا قانون مثبت انتهى + +336 +00:28:31,870 --> 00:28:36,670 +نظرياً و تطبيقياً قانون عليه شويه تعديل في الآخر + +337 +00:28:36,670 --> 00:28:41,710 +بنحكي عنه لسبب ما لكن في الآخر بيقول قانون كلهم + +338 +00:28:41,710 --> 00:28:48,790 +الكتبته أول مرة قال لي ايه بتسوي KDQ على R تربيع R + +339 +00:28:48,790 --> 00:28:54,950 +hatو الـ DQ بتسوي رو دي تاو بصوته العامة الأكبر صح + +340 +00:28:54,950 --> 00:28:59,470 +ولا لأ؟ طيب يلا جيبلي ال divergence يلا بدي نشغل + +341 +00:28:59,470 --> 00:29:02,390 +رياضيات و نرجع لل chapter الماضي هجيش بدي أعمل + +342 +00:29:02,390 --> 00:29:08,190 +divergence؟ قال لي ها + +343 +00:29:08,190 --> 00:29:13,390 +ذاكرين هذا؟ واحد اللي هو R hat على R تربية لما + +344 +00:29:13,390 --> 00:29:18,270 +قلنا عند ال R بتسوي 0 بعمل مشكلةوأجى ديراك حل + +345 +00:29:18,270 --> 00:29:23,810 +مشكلتنا وقالنا هادا بتكتبوا أربعة بايت دي ال .. ال + +346 +00:29:23,810 --> 00:29:30,950 +a صح ولا لأ؟ قاللي but دي ال but أسرع هذه R R hat + +347 +00:29:30,950 --> 00:29:36,710 +على R تربيع بتسوي أربعة بايت دي ال a ديراك delta + +348 +00:29:36,710 --> 00:29:43,830 +function ديراك delta function آية جمانة ديراك + +349 +00:29:43,830 --> 00:29:48,440 +delta function مرت؟مرات احنا اتفجنا بس قولولي مرات + +350 +00:29:48,440 --> 00:29:52,920 +و يعطيكوا العافية اكتر من كده مديش منكم انها والله + +351 +00:29:52,920 --> 00:29:58,870 +مش غريبة تجربلناأو خلّيني أقول شفناها قبل كده، مش + +352 +00:29:58,870 --> 00:30:04,450 +أكتر، ولا تقربلنا لحظة تقولوا هاتي كتف الميلاد ولا + +353 +00:30:04,450 --> 00:30:08,270 +شهدتي الميلاد؟ لأ، شفناها قبل كده إذا هذه الـ + +354 +00:30:08,270 --> 00:30:12,070 +Direct Delta Function اللي أنا بس مجرد بدي منكم إن + +355 +00:30:12,070 --> 00:30:14,990 +الواحد يقول أه دي مرّت علينا، ادّونا إياها، أقدر + +356 +00:30:14,990 --> 00:30:20,310 +أفتح الكتاب وإني إياه، إيه هي الصفات؟ من صفاتها + +357 +00:30:20,310 --> 00:30:29,810 +أذكركم جل التكامل F of Xدل X ناقص X شرطة DX F of X + +358 +00:30:29,810 --> 00:30:31,290 +شرطة + +359 +00:30:37,750 --> 00:30:41,410 +بقدر اجيبها بقدر اجيبها المهم ما زال مرت عليا بقول + +360 +00:30:41,410 --> 00:30:44,530 +تعالى ندور وين جت تاخدوا دقيقة دي اثنين بنجيبها + +361 +00:30:44,530 --> 00:30:51,070 +بلاقي هالصفة دي بقول طب تعالى الان ما زال هادي بدي + +362 +00:30:51,070 --> 00:30:56,370 +احط محلها هان صارت هيك ها جمت هذا الجزء وحطت اربعة + +363 +00:30:56,370 --> 00:31:02,000 +باي و thenالـ R script كما تعرفون هي R نخس R شرطة، + +364 +00:31:02,000 --> 00:31:06,660 +مظبوط؟ جالي هذه يلّا كملليها، حسب هذه الصفة بقدر + +365 +00:31:06,660 --> 00:31:10,860 +أقول هي عبارة عن row of R لأن بكمل على R شرطة يعني + +366 +00:31:10,860 --> 00:31:18,980 +بكمل على R شرطة الآن، مش X فبتصير F of X بتكون row + +367 +00:31:18,980 --> 00:31:19,880 +of R + +368 +00:31:28,870 --> 00:31:30,970 +الـ divergence اللي طلعتها من كلهم هي نفسها تبع + +369 +00:31:30,970 --> 00:31:36,950 +الجوز؟ مش نفسها تبع الجوز؟ هي نفسها تبع الجوز إذا + +370 +00:31:36,950 --> 00:31:42,950 +قانون الجوز صحيح دلق ضد الـ E تنعترق على ε قطعا صح + +371 +00:31:42,950 --> 00:31:48,010 +طيب، + +372 +00:31:48,010 --> 00:31:52,170 +بده يكمل، يشوف قال لي طب لو بدأ دي كامل طرفي + +373 +00:31:52,170 --> 00:31:54,850 +المعادلة كامل طرفي المعادلة + +374 +00:31:59,360 --> 00:32:03,580 +جالي شوية شوية الـ Divergent theorem بدي أعيد + +375 +00:32:03,580 --> 00:32:10,120 +استخدامها هنا إيش بتعطيني هذه بالصير؟ بالصير تكامل + +376 +00:32:10,120 --> 00:32:19,000 +مغلق E ضد الـDS إبسلن نوت بقدر أطلعها برا؟ واحد + +377 +00:32:19,000 --> 00:32:23,440 +على إبسلن نوت إيش بيبقى دوا التكامل؟ رو دي توشية + +378 +00:32:24,150 --> 00:32:28,670 +الـ Q و أي Q بقوله ما هو الـ T و هذا اللي داخل + +379 +00:32:28,670 --> 00:32:31,850 +اللي اللي السطيح إذا هي Q enclosed وهي قانون Gauss + +380 +00:32:31,850 --> 00:32:37,050 +من وين جبته؟ من كله أنا هذا جبته من كله معناته + +381 +00:32:37,050 --> 00:32:41,310 +Gauss كلامه صحيح Gauss كلامه صحيح والقانون اللي + +382 +00:32:41,310 --> 00:32:43,830 +حكاه صح مافيش عندي مشكلة + +383 +00:32:49,210 --> 00:32:52,930 +باستخدام نظرية الديدرجان مرة أخرى نحصل على قوة جوز + +384 +00:32:52,930 --> 00:32:58,270 +أي استفسار يا بنات؟ + +385 +00:32:58,270 --> 00:33:01,450 +مافي كاميرا، خد راحتكوا، ماحق، مانشوفش مين يسألت + +386 +00:33:01,450 --> 00:33:09,590 +والصوت مابيينش، قفوز أي استفسار؟ + +387 +00:33:09,590 --> 00:33:13,490 +طيب الآن + +388 +00:33:13,490 --> 00:33:16,130 +قوة جوز + +389 +00:33:20,590 --> 00:33:28,530 +وتؤكد أنه صحيح 100% تكامل المغلق اي ضبط الـDS + +390 +00:33:28,530 --> 00:33:33,390 +بتساوي Q enclosed على Epsilon نول هاي قانون Gauss + +391 +00:33:33,390 --> 00:33:44,050 +طيب طب هو انا بدي قانون Gauss عشان اجيب فقط ال + +392 +00:33:44,050 --> 00:33:48,670 +flux الكهربائي ال flux ككمية علميا مش كتير مهمة + +393 +00:33:49,390 --> 00:33:53,790 +الأهم من الـ Flux وليه معنى علمي هو شدة المجال + +394 +00:33:53,790 --> 00:33:58,950 +الكهربائي صح ولا لأ؟ أخدنا قانون كلوم و حسبنا منه + +395 +00:33:58,950 --> 00:34:04,810 +شدة المجال الكهربائي يا ترى قانون Gauss بيمكنني + +396 +00:34:04,810 --> 00:34:08,690 +أحسب شدة المجال الكهربائي ولا لأ؟ إذا بيمكنني + +397 +00:34:08,690 --> 00:34:13,290 +معناته صار في عندي اختراق صار في عندي تقدم صار في + +398 +00:34:13,290 --> 00:34:18,300 +عنديخلّيني أقول مساهمة كبيرة للعلم أن كيف أحسب + +399 +00:34:18,300 --> 00:34:22,260 +شدّت المجال، ليش؟ قال لي كلهم بطلّع الروح في + +400 +00:34:22,260 --> 00:34:25,940 +الحساب أنتم تذكرين لما كنا .. اللي طوّع حكتش نور + +401 +00:34:25,940 --> 00:34:29,120 +المثال اللي حلته في الآخر طلّع روحنا، مافهملهوش صح + +402 +00:34:29,120 --> 00:34:35,360 +ولا لأ؟ ومثال بسيط، بغلب طبعا؟ طيب نجي نجاوز + +403 +00:34:35,360 --> 00:34:41,820 +رياضيا نظريا المعاجلة فيها إيه؟ هذه المعاجلة فيها + +404 +00:34:41,820 --> 00:34:47,630 +إيه؟E E فيها و لا مش فيها نظريا إذا نظريا ممكن + +405 +00:34:47,630 --> 00:34:52,650 +أجيب E إذا كله معروف بس عندي معضلة كبيرة الشي + +406 +00:34:52,650 --> 00:34:57,930 +المعضلة يلا يا نسمة كمليلي تعرف أنت كامل ولا لأ + +407 +00:34:57,930 --> 00:35:03,570 +كامل هذا Bravo + +408 +00:35:03,570 --> 00:35:10,260 +عليك بنفع أكامل حاجة أنا مش عارفها لأهنا بيقولي + +409 +00:35:10,260 --> 00:35:14,540 +بدك يجيبلي إيه؟ ويقولي إيه جوا التكامل؟ وكيف أكامل + +410 +00:35:14,540 --> 00:35:17,300 +عشان أجيبلك إيه أو أنا مش عارفها؟ إذا في عندي + +411 +00:35:17,300 --> 00:35:22,820 +معضلة؟ إذا قانون Gauss صح، حلو، مش أحلى منه بس كيف + +412 +00:35:22,820 --> 00:35:26,000 +بدأت أعمل معاه؟ كيف بدأت أستفيد منه؟ وهو إيه جوا + +413 +00:35:26,000 --> 00:35:30,340 +التكامل؟ لو مافيش تكامل هيك، بقوله بسيطة، لو هذه + +414 +00:35:30,340 --> 00:35:35,060 +S، بقوله إيه بتساوي هذا على S وخلصنا، صح؟ لكن كون + +415 +00:35:35,060 --> 00:35:41,310 +هذا جوا التكاملصار في مشكلة ماكنتش بقدر أستفيد منه + +416 +00:35:41,310 --> 00:35:45,710 +و أحلها بقول إذا كانت إيه بتقدر تطلعها برا التكابل + +417 +00:35:45,710 --> 00:35:50,710 +ماكنتش هدى بكميه بيطلعها فاكتة و هل دايما ثابتة؟ + +418 +00:35:50,710 --> 00:35:56,970 +بقول لأ أنا كنتش جوزك بقول للناس بقولهم أنا بدعي + +419 +00:35:56,970 --> 00:36:03,010 +القانون و قلت القانون صحيح 100% بقولكم أنا بحل بعض + +420 +00:36:03,010 --> 00:36:07,160 +المسائدلا أدعي أني أحل كل المسائل و اللي أنا مش + +421 +00:36:07,160 --> 00:36:12,520 +عارف أحلها خلّي كلهم أحلوا لكن في النهاية قانوني + +422 +00:36:12,520 --> 00:36:17,460 +في بعض المسائل اللي قانون كلهم بيحلها بصفحتين + +423 +00:36:17,460 --> 00:36:24,320 +بيحلها بسطرين هل هذا بسهل عليكم؟ أه بسهل علينا لكن + +424 +00:36:24,320 --> 00:36:28,600 +في شغلات أنا ماعرفش أحلها، ماقدرش أحلها، مش بعرفش، + +425 +00:36:28,600 --> 00:36:31,640 +ماقدرش أحلها، القانون لا ينطبق عليها ليش لا ينطبق؟ + +426 +00:36:31,640 --> 00:36:36,500 +لأنه ايه بيكون ثابت؟جاربناش هادى خلّى كله لعوه + +427 +00:36:36,500 --> 00:36:40,320 +لولا افهمتوا عليا كيف؟ اذا ايش بيقوللي؟ بيقوللي + +428 +00:36:40,320 --> 00:36:44,080 +although جاوز ال law is always true بيقوللي + +429 +00:36:44,080 --> 00:36:48,920 +القانون صحيح مية في المية لكل الأسطح المغلقة لكن + +430 +00:36:48,920 --> 00:36:53,180 +لا تستطيع استخدامه it is not always useful ماقدرش + +431 +00:36:53,180 --> 00:36:58,100 +أستخدمه دائماتمام for Gauss's law to be useful + +432 +00:36:58,100 --> 00:37:01,580 +يعني إيش يعني useful؟ أقدر أحسب شدة المجال منه + +433 +00:37:01,580 --> 00:37:05,160 +فاهمتوا معناته إيش معناته useful؟ إن أقدر أحسب شدة + +434 +00:37:05,160 --> 00:37:09,000 +المجال منه the following condition should be + +435 +00:37:09,000 --> 00:37:13,340 +satisfied لازم الشروط التالية تتحقق طبعا هذه + +436 +00:37:13,340 --> 00:37:17,400 +الشروط انحطت عشان إيش؟ عشان أضمن إنه equal + +437 +00:37:17,400 --> 00:37:22,260 +constant فهمت عليها؟إذا الشروط هذه لم تتحقق، لن + +438 +00:37:22,260 --> 00:37:26,560 +تكون ثابتة. وبالتالي، سأضع القانون و سأقف. لن + +439 +00:37:26,560 --> 00:37:30,780 +أستطيع أن أقتل أي خطوة بعدها. تمام يا بنات؟ حلو، + +440 +00:37:30,780 --> 00:37:36,840 +إيش هذه الأنثى؟ أو الشروط؟ أول شرط يقول بأن الـ + +441 +00:37:36,840 --> 00:37:41,780 +charge distribution must have a high degree of + +442 +00:37:41,780 --> 00:37:47,250 +symmetry لازم أنت تقول أود يتشد في المجالشدّت + +443 +00:37:47,250 --> 00:37:50,990 +المجال من بيطلعه؟ من الجسم المشحون؟ الجسم المشحون + +444 +00:37:50,990 --> 00:37:55,110 +هذا الجسم المشحون اللي بيجيسمه charge distribution + +445 +00:37:55,110 --> 00:38:01,650 +لازم يتلك تماثل وطبعا كلمة تماثل سهلناها جالي أحد + +446 +00:38:01,650 --> 00:38:05,770 +تلت احتمالات العربي عليها الشمّة جالي كل الأشكال + +447 +00:38:05,770 --> 00:38:09,430 +القراوية مش أول تقول إنها أحلى شكل قراوية إيش نطّت + +448 +00:38:09,430 --> 00:38:14,310 +وده جالت كرة لأنها فيها تماثل عالي الأشكال + +449 +00:38:14,310 --> 00:38:23,190 +القراوية كلهاكبيرها وصغيرها مصمتها ومجوفها كلها + +450 +00:38:23,190 --> 00:38:27,850 +ينطبق عليها قانون جاوس لأنه ممكن أنت تلاقي سطح + +451 +00:38:27,850 --> 00:38:34,130 +مغلق تكون ثابت عليها طيب إيش كمان؟ جالي الأشكال + +452 +00:38:34,130 --> 00:38:41,290 +الصوانية اتخيلولي يا بنات هذا كله مشهون وبدي أرسم + +453 +00:38:41,290 --> 00:38:44,330 +خطوط المجال يالا يا نور من هنا كيف خط المجال + +454 +00:38:44,330 --> 00:38:49,600 +بالـGG؟عليك يعني جاي؟ للخارج طب و هنا؟ نفس الاشياء + +455 +00:38:49,600 --> 00:38:55,060 +يعني متوازي؟ اه طب هنا؟ للأعلى بس للأعلى؟ مافعش + +456 +00:38:55,060 --> 00:38:59,580 +هيك و هيك و هيك و هيك؟ شوفي انت هنا صار المجال هنا + +457 +00:38:59,580 --> 00:39:03,460 +لما رسمت و نور جالس واحد عليّ و التاني عليّ متوازي + +458 +00:39:03,460 --> 00:39:07,780 +اذا في ثابت هنا فوق لما وصلت الطرف لجيت انه بطل + +459 +00:39:07,780 --> 00:39:15,750 +متوازي صار يبشع تمام؟ جالي بصيفةهدول النقطين + +460 +00:39:15,750 --> 00:39:20,670 +بعيدهم عنك انت تدعي ان انا مش شايفهم ممكنش بيبعدهم + +461 +00:39:20,670 --> 00:39:25,410 +عني لما يكون هذا طويل جدا انا مش شايفه اذا عدم + +462 +00:39:25,410 --> 00:39:30,410 +الثبات انا مش منطقتي فهمتوا عليا؟ هذا طبعا + +463 +00:39:30,410 --> 00:39:33,710 +cylinder وكل أشكال الصوانية بشرط انها تكون طويلة + +464 +00:39:33,710 --> 00:39:39,670 +جدا طيب نرجع كمان مرة هذا + +465 +00:39:39,670 --> 00:39:45,660 +plane مظبوط ولا .. انت في السمكشايمة طالع عليا + +466 +00:39:45,660 --> 00:39:48,600 +بترسمي خطوط مجالي انا عندي نقطة هذه كيف خط + +467 +00:39:48,600 --> 00:39:54,540 +المجالي؟ طب و اللي جنبها؟ و اللي جنبها؟ طب هنا؟ + +468 +00:39:54,540 --> 00:40:01,300 +هيك و هيك و هيك و هنا؟ بس بس بس بس بس بس بس بس بس + +469 +00:40:01,300 --> 00:40:02,680 +بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس + +470 +00:40:02,680 --> 00:40:06,360 +بس بس بس بس بس بس بس بس بس بس بس بس بس بس بس + +471 +00:40:06,360 --> 00:40:08,180 +بس ب + +472 +00:40:13,060 --> 00:40:17,620 +إذن cylindrical with infinite length السلندر بشرط + +473 +00:40:17,620 --> 00:40:24,420 +الطول يكون كبير planes with infinite extents + +474 +00:40:24,420 --> 00:40:29,560 +أبعادها مالها infinite يعني plane أنت مش شايف + +475 +00:40:29,560 --> 00:40:37,280 +أطرافه سؤال خد راحتكم أنا جوز slow بقى أسمحش أطالب + +476 +00:40:37,280 --> 00:40:40,640 +في سنة تالية أي غلط ليه عيب + +477 +00:40:42,670 --> 00:40:46,950 +عيبة كبيرة إن واحدة في سنة تالتة بتاخد كهرومها + +478 +00:40:46,950 --> 00:40:49,750 +نصية بتتغلطل في جوزيزلو في سنة أولى بنقول .. + +479 +00:40:49,750 --> 00:40:52,450 +بيصيرون نضحك عليهم، بيقولوا والله لسه مش فاهمين + +480 +00:40:52,450 --> 00:40:55,450 +الموضوع، بهمش، بس في سنة تالتة مش مسموح أنهم + +481 +00:40:55,450 --> 00:41:01,630 +يقفموهاش فهمتوا عليا؟ مش مسموح، أه، كنا نجيب أسئلة + +482 +00:41:01,630 --> 00:41:05,470 +في سنة أولى، و هنجيب أسئلة في سنة تالتة، و بتشبهي + +483 +00:41:05,470 --> 00:41:06,550 +الأسئلة تعالى السنة أولى + +484 +00:41:09,260 --> 00:41:12,520 +تشبهها، بس الآن المفروض طالب سنة تالتة هو بيحل + +485 +00:41:12,520 --> 00:41:17,880 +جوزيزلو زي وقال إنه يجيي سؤال خمسة في تلاتة، هيك، + +486 +00:41:17,880 --> 00:41:25,600 +خمسة في تلاتة، جديش؟ بدناك الكوليتا، تمام؟ + +487 +00:41:25,600 --> 00:41:29,420 +مش مسموح لو حد يغلط في جوزيزلو، بيجيي فهمه مظبوط + +488 +00:41:29,420 --> 00:41:35,520 +عشان كده أي سؤال بيخصه، وانا دايما بقول جوزيزلو + +489 +00:41:35,520 --> 00:41:42,580 +سهل ممتنحفيش فيه تركات بس بدي أفهم إيش هو عن إيش + +490 +00:41:42,580 --> 00:41:47,080 +بيحكي و إيش بيسوي ساعتها مافيش مجال قلط فيه لأنه + +491 +00:41:47,080 --> 00:41:51,620 +محدود الأفكار هو أصلا هو بيقولك أنا لأ أنطبق إلى + +492 +00:41:51,620 --> 00:41:55,320 +عتلة أشكال أشكال كلوية أشكال الصوانية كبيرة جدا + +493 +00:41:55,320 --> 00:42:00,270 +أشكال مسطحة كبيرة جدا بعد كده بيقولك أنا مقدرشهذه + +494 +00:42:00,270 --> 00:42:03,070 +الشكلة تبطّل و أنا أستطيع التعامل معها كل هذا + +495 +00:42:03,070 --> 00:42:07,110 +أفعله لأن هذه مالو أطلّحها برا حلو قال لي هذه + +496 +00:42:07,110 --> 00:42:10,210 +الأشكال التلاتة اللي ممكن أطبّق عليها قانون جاوس + +497 +00:42:10,210 --> 00:42:16,170 +طيب الآن عشان أطبّق قانون جاوس قال لي for any + +498 +00:42:16,170 --> 00:42:20,150 +closed surface for any closed surface + +499 +00:42:24,530 --> 00:42:27,950 +طبعاً في حديث شريف عن الرسول صلى الله عليه و سلم + +500 +00:42:27,950 --> 00:42:32,730 +مش بقول مخيرة بين أمريني في الدين اللي اخترق أيصار + +501 +00:42:32,730 --> 00:42:37,540 +هماهجدنا بقولنا وهنا نفس العملية بقول انا بقول لك + +502 +00:42:37,540 --> 00:42:40,020 +for any closed surface طب وانت ليش تروح الصحيح؟ + +503 +00:42:40,020 --> 00:42:45,440 +تروح الصهل بدي سطح ايه سهل؟ يعني السطح يكون ايه + +504 +00:42:45,440 --> 00:42:48,320 +ثابت عليه the Gaussian surface اللي بدك تحصيحه + +505 +00:42:48,320 --> 00:42:53,840 +الآن مغلق should have the same symmetry as that of + +506 +00:42:53,840 --> 00:42:58,500 +the charge distribution انت بدك تحسب ال flux على + +507 +00:42:58,500 --> 00:43:05,990 +سطح مغلق الشكل اللي بدك تحسب مجاله معروفتختار الآن + +508 +00:43:05,990 --> 00:43:11,690 +سطح مغلق تحسب الـ FACTS عليه طيب التلت أنواع اللي + +509 +00:43:11,690 --> 00:43:18,250 +فيها ينطبق قانون جاوس تلاتة كراوي، استواني، مسطح + +510 +00:43:18,250 --> 00:43:24,430 +الشكل الكراوي إيش السطح اللي بيشبهه كرة صح ولا لأ + +511 +00:43:24,430 --> 00:43:29,270 +الشكل الاستواني إيش السطح المغلق اللي بيشبهه + +512 +00:43:30,620 --> 00:43:34,740 +الطوانة، مظبوط؟ طب إيش ضال؟ ضال المسطح، إيش اللي + +513 +00:43:34,740 --> 00:43:38,320 +بيشبه هذا؟ في دي سطح مغلق جدا متوازي مستطيل؟ + +514 +00:43:38,320 --> 00:43:42,240 +متوازي مستطيل هذا، bravo متوازي مستطيل هذا، طيب + +515 +00:43:42,240 --> 00:43:46,900 +ليش انت قلتي متوازي مستطيل هذا؟ أبعاد تفتح يعني زي + +516 +00:43:46,900 --> 00:43:50,300 +.. عشان هذا مستطيل؟ طب أنا لو كده أقولك هذا مش + +517 +00:43:50,300 --> 00:43:56,200 +مستطيل، هذا disk هذا disk هياخد كرة طب انت هيكبس + +518 +00:43:56,200 --> 00:44:01,170 +كرة؟برو عليك، طب إيش أعرفك؟ طب إيش أقول كده؟ أنا + +519 +00:44:01,170 --> 00:44:08,390 +وياك نتحاجج، disk هذا ولا مستطيل؟ احكيه، صوت عالي، + +520 +00:44:08,390 --> 00:44:12,930 +هذا disk ولا مستطيل؟ ليش انت قلت مستطيل وانا بقولك + +521 +00:44:12,930 --> 00:44:17,690 +disk؟ حاجتها أنا بقولكم هذا، شايفين وانتوا؟ هذا + +522 +00:44:17,690 --> 00:44:21,190 +كبير ولا مش كبير؟ إذا بدي أضمن إنه هذا كبير، مين + +523 +00:44:21,190 --> 00:44:26,350 +شايف منكم الأعطراف؟ الأعطراف ما حد شايفهامش عارف + +524 +00:44:26,350 --> 00:44:29,690 +نقول كبير جدا؟ مش عارف نقول كبير جدا؟ طب و انت ليش + +525 +00:44:29,690 --> 00:44:32,250 +بتقولي لأنه .. لإنك انت اتدعيت انك انت شايف + +526 +00:44:32,250 --> 00:44:38,730 +الأطراف إذا شفت الأطراف بطل كبير صح؟ هلجيت .. انت + +527 +00:44:38,730 --> 00:44:41,070 +لو مش شايف الأطراف بتقولي لأ انت الصح، لأ أنا الصح + +528 +00:44:41,070 --> 00:44:46,790 +التنير صح، مظبوط ولا لأ؟ إذا كان disk، إيش بدي + +529 +00:44:46,790 --> 00:44:50,850 +أخد؟ أسطوانة أو إذا كان متوازي مستطيل، متوازي + +530 +00:44:50,850 --> 00:44:54,650 +مستطيلات نرجع لحديث الرسول خيلت بين اتنين، إيش + +531 +00:44:54,650 --> 00:45:02,320 +أختار؟الجيش بس أسهل لإن الأستوانة كام سطح إليها؟ + +532 +00:45:02,320 --> 00:45:05,500 +تلاتة بس الله كم سطح ياخدهم؟ مهم ليش، واحدة واحدة، + +533 +00:45:05,500 --> 00:45:09,520 +هو كم و أنا كم سطح فيه، متوازن مستطيلات، من أيصار، + +534 +00:45:09,520 --> 00:45:16,940 +إذا بيكونوا صدقوني، هذا disk عشان أسهلكم، disk صح + +535 +00:45:16,940 --> 00:45:22,640 +و مستطيل صح و ال disk أسهل، بس النجلة أسهلاتفجنا؟ + +536 +00:45:22,640 --> 00:45:25,240 +إذا ماعناتيش بقولليه، السطح المغلق اللي هتختاره + +537 +00:45:25,240 --> 00:45:29,180 +بدي يكون مغين، لا كرة لا صورة، طب واحد بيقول طب + +538 +00:45:29,180 --> 00:45:32,500 +أنا غاوظ صعوبة، بدي أختار متوازن مستطيلات، بتطلع + +539 +00:45:32,500 --> 00:45:36,500 +نفس الإجابة، بقوله بطلع، بس أطول ممكن يكون، كنتوا + +540 +00:45:36,500 --> 00:45:39,780 +عليا؟ و هنعملها متوازن مستطيلات مرة، عشان نتصدقوا + +541 +00:45:39,780 --> 00:45:42,480 +بيطلع نفس الإجابة، و تقولوا الصعوب دايما يبعد عنه + +542 +00:45:42,480 --> 00:45:47,380 +الواحد، اتفجنا هيك؟ تمام، إذا أنا بدي أختار سطح + +543 +00:45:47,380 --> 00:45:52,160 +جاوس بعد كده،دى سم مشحون، مالوش دعوة بالسطح المغلق + +544 +00:45:52,160 --> 00:45:54,820 +اللى بدي أختاره عشان كده السطح المغلق بسميه سطح + +545 +00:45:54,820 --> 00:45:58,500 +Gauss هذا أنا بختاره و Gauss قاللي اختار السهل + +546 +00:45:58,500 --> 00:46:01,820 +تمام؟ لأنه بيقوللي أنا Gauss ال surface إذا + +547 +00:46:01,820 --> 00:46:05,980 +بيقوللي the Gaussian surface should have the same + +548 +00:46:05,980 --> 00:46:10,460 +symmetry لازم يشبه يكونوا نفس ال symmetry of that + +549 +00:46:10,460 --> 00:46:14,890 +of the charge distribution كرة اختار كرة؟استوانة + +550 +00:46:14,890 --> 00:46:21,310 +اختار استوانة وبليه نختار استوانة؟ تمامطيب مش + +551 +00:46:21,310 --> 00:46:25,450 +بيقولك اوجه شدك المجال at point هذه ال point لازم + +552 +00:46:25,450 --> 00:46:28,530 +تجي على السطح اللي بيتختاره لازم تكون وجعة على + +553 +00:46:28,530 --> 00:46:31,930 +السطح هنكررها و احنا بنشتغل it the point at which + +554 +00:46:31,930 --> 00:46:35,610 +E is to be evaluated should lie on the Gaussian + +555 +00:46:35,610 --> 00:46:40,470 +surface تمى هدول التلات شروط اتحققوا وقال لك انت و + +556 +00:46:40,470 --> 00:46:46,630 +انت مغمض في عندك احد احتمالين لهذا هذا E بيكون + +557 +00:46:46,630 --> 00:46:52,910 +constantساعتاش بيساوي فيه، بتطلعه برا أو إذا مش + +558 +00:46:52,910 --> 00:46:58,450 +ثابت، بيكون ال product بتضلع لك 90 درجة و قصاني + +559 +00:46:58,450 --> 00:47:02,990 +90، إذا الله يسهل عليه التكامل مع صورته إذا + +560 +00:47:02,990 --> 00:47:07,050 +ماقدرتش أطلع E برا و يسهل أكامل، بيقول التكامل كله + +561 +00:47:07,050 --> 00:47:11,410 +بطير معاك فهمتوا عليها كيف؟ بيقول لي if these + +562 +00:47:11,410 --> 00:47:17,650 +conditions are satisfied E will be either constant + +563 +00:47:18,590 --> 00:47:22,610 +أما هيكون constant over the Gaussian surface بحيث + +564 +00:47:22,610 --> 00:47:29,370 +such that we can pull E out of the integral او E + +565 +00:47:29,370 --> 00:47:33,430 +is perpendicular to the surface such that the + +566 +00:47:33,430 --> 00:47:38,790 +integral is zero اذا صار عندك احتمالين لا ثالثة لا + +567 +00:47:38,790 --> 00:47:44,470 +هما لا التكامل سهل بتطلع E و تكامل لا التكامل + +568 +00:47:44,470 --> 00:47:49,680 +بصعوبة و بيروح اتفجنا يا بنات؟هذا خروم جاوس + +569 +00:47:49,680 --> 00:47:52,500 +يعطيكوا العافية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..fdf289f10f17e26a0e07884e65506f0b8ece5589 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/1IXI2XAB96Q_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4932, "start": 20.84, "end": 49.32, "text": "خلّينا نكمل chapter 2 اللي بتحدث عن شدة المجال الكهربائي 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"probability": 0.73388671875}, {"start": 97.79, "end": 98.05, "word": " صاحب", "probability": 0.83984375}, {"start": 98.05, "end": 99.05, "word": " الغرفة", "probability": 0.948486328125}, {"start": 99.05, "end": 102.37, "word": " تمام", "probability": 0.9375}, {"start": 102.37, "end": 104.49, "word": " هذه", "probability": 0.80615234375}, {"start": 104.49, "end": 105.07, "word": " الشغلة", "probability": 0.9635416666666666}, {"start": 105.07, "end": 106.21, "word": " قالوا", "probability": 0.7236328125}, {"start": 106.21, "end": 107.07, "word": " بدنا", "probability": 0.88330078125}], "temperature": 1.0}, {"id": 4, "seek": 12773, "start": 107.85, "end": 127.73, "text": "خطوط المجال المثلها بخطوط اصطلاحية وهمية نسميها خطوط المجال الكهربائي عشان انا لما ارسم رسمة وانت ترسم رسمة لنفس الشكل التالو زي بعض ونقول اه في و الله خطأ في مجال اذا هذه الشغله عشان فقط تسهل التعامل", "tokens": [9778, 9566, 2407, 9566, 9673, 7435, 6027, 9673, 12984, 1211, 11296, 4724, 9778, 9566, 2407, 9566, 1975, 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أو النت أو البيتكومية", "tokens": [9778, 1211, 11703, 9957, 995, 8717, 39648, 16712, 3615, 10943, 1211, 19446, 49374, 9673, 3224, 39237, 9957, 15844, 23032, 16572, 4587, 2423, 13063, 4587, 34051, 13672, 2407, 5016, 34051, 2423, 29399, 34051, 2423, 21292, 2655, 4117, 20498, 10632], "avg_logprob": -0.3114983852093036, "compression_ratio": 1.510204081632653, "no_speech_prob": 0.0, "words": [{"start": 129.24, "end": 129.74, "word": "خلّينا", "probability": 0.6469970703125}, {"start": 129.74, "end": 130.1, "word": " نقول", "probability": 0.9873046875}, {"start": 130.1, "end": 131.36, "word": " التعامل", "probability": 0.954833984375}, {"start": 131.36, "end": 131.5, "word": " ما", "probability": 0.428466796875}, {"start": 131.5, "end": 131.98, "word": " بين", "probability": 0.9970703125}, {"start": 131.98, "end": 133.34, "word": " المهتمين", "probability": 0.9918212890625}, {"start": 133.34, "end": 134.04, "word": " على", "probability": 0.397705078125}, {"start": 134.04, "end": 134.4, 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"text": "وأجى ديراك حل مشكلتنا وقالنا هادا بتكتبوا أربعة بايت دي ال .. ال a صح ولا لأ؟ قاللي but دي ال but أسرع هذه R R hat على R تربيع بتسوي أربعة بايت دي ال a ديراك delta function ديراك delta function آية جمانة ديراك delta function مرت؟", "tokens": [2407, 10721, 7435, 7578, 11778, 13546, 995, 4117, 11331, 1211, 37893, 28820, 2655, 8315, 4032, 4587, 6027, 8315, 8032, 18513, 995, 39894, 4117, 2655, 3555, 14407, 5551, 25513, 27884, 4724, 995, 36081, 11778, 1829, 2423, 4386, 2423, 257, 20328, 5016, 49429, 5296, 10721, 22807, 50239, 20292, 457, 11778, 1829, 2423, 457, 5551, 3794, 2288, 3615, 29538, 497, 497, 2385, 15844, 497, 6055, 2288, 21292, 3615, 39894, 3794, 45865, 5551, 25513, 27884, 4724, 995, 36081, 11778, 1829, 2423, 257, 11778, 13546, 995, 4117, 8289, 2445, 11778, 13546, 995, 4117, 8289, 2445, 19753, 10632, 10874, 2304, 7649, 3660, 11778, 13546, 995, 4117, 8289, 2445, 3714, 43500, 22807], "avg_logprob": -0.35642689691399626, "compression_ratio": 1.8256410256410256, 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always", "probability": 0.92431640625}, {"start": 2203.08, "end": 2203.5, "word": " true", "probability": 0.6484375}, {"start": 2203.5, "end": 2204.08, "word": " بيقوللي", "probability": 0.923828125}, {"start": 2204.08, "end": 2204.76, "word": " القانون", "probability": 0.9318033854166666}, {"start": 2204.76, "end": 2205.7, "word": " صحيح", "probability": 0.9947509765625}, {"start": 2205.7, "end": 2206.0, "word": " مية", "probability": 0.697998046875}, {"start": 2206.0, "end": 2206.14, "word": " في", "probability": 0.64892578125}, {"start": 2206.14, "end": 2206.58, "word": " المية", "probability": 0.96875}, {"start": 2206.58, "end": 2207.26, "word": " لكل", "probability": 0.980224609375}, {"start": 2207.26, "end": 2207.66, "word": " الأسطح", "probability": 0.96875}, {"start": 2207.66, "end": 2208.22, "word": " المغلقة", "probability": 0.96142578125}, {"start": 2208.22, "end": 2208.92, "word": " لكن", "probability": 0.833984375}, {"start": 2208.92, "end": 2209.18, "word": " لا", "probability": 0.90869140625}, {"start": 2209.18, "end": 2209.84, "word": " تستطيع", "probability": 0.986083984375}, {"start": 2209.84, "end": 2210.72, "word": " استخدامه", "probability": 0.95810546875}, {"start": 2210.72, "end": 2211.4, "word": " it", "probability": 0.7568359375}, {"start": 2211.4, "end": 2211.56, "word": " is", "probability": 0.90478515625}, {"start": 2211.56, "end": 2211.76, "word": " not", "probability": 0.96142578125}, {"start": 2211.76, "end": 2212.14, "word": " always", "probability": 0.93115234375}, {"start": 2212.14, "end": 2212.72, "word": " useful", "probability": 0.86328125}, {"start": 2212.72, "end": 2213.18, "word": " ماقدرش", "probability": 0.667877197265625}, {"start": 2213.18, "end": 2213.68, "word": " أستخدمه", "probability": 0.884814453125}, {"start": 2213.68, "end": 2214.08, "word": " دائما", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 89, "seek": 223910, "start": 2214.84, "end": 2239.1, "text": "تمام for Gauss's law to be useful يعني إيش يعني useful؟ أقدر أحسب شدة المجال منه فاهمتوا معناته إيش معناته useful؟ إن أقدر أحسب شدة المجال منه the following condition should be satisfied لازم الشروط التالية تتحقق طبعا هذه الشروط انحطت عشان إيش؟ عشان أضمن إنه equal constant فهمت عليها؟", "tokens": [2655, 15042, 2304, 337, 10384, 2023, 311, 2101, 281, 312, 4420, 37495, 22653, 11933, 1829, 8592, 37495, 22653, 4420, 22807, 5551, 28543, 2288, 5551, 5016, 35457, 13412, 41891, 9673, 7435, 6027, 9154, 3224, 6156, 995, 16095, 2655, 14407, 20449, 8315, 47395, 11933, 1829, 8592, 20449, 8315, 47395, 4420, 22807, 36145, 5551, 28543, 2288, 5551, 5016, 35457, 13412, 41891, 9673, 7435, 6027, 9154, 3224, 264, 3480, 4188, 820, 312, 11239, 5296, 31377, 2304, 25124, 32887, 9566, 16712, 6027, 10632, 6055, 2655, 5016, 4587, 4587, 23032, 3555, 3615, 995, 29538, 25124, 32887, 9566, 16472, 5016, 9566, 2655, 6225, 8592, 7649, 11933, 1829, 8592, 22807, 6225, 8592, 7649, 5551, 11242, 27842, 36145, 3224, 2681, 5754, 6156, 16095, 2655, 25894, 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"word": " useful؟", "probability": 0.760009765625}, {"start": 2220.0, "end": 2220.24, "word": " أقدر", "probability": 0.9505208333333334}, {"start": 2220.24, "end": 2220.48, "word": " أحسب", "probability": 0.9679361979166666}, {"start": 2220.48, "end": 2220.76, "word": " شدة", "probability": 0.870361328125}, {"start": 2220.76, "end": 2221.2, "word": " المجال", "probability": 0.9928385416666666}, {"start": 2221.2, "end": 2221.58, "word": " منه", "probability": 0.986572265625}, {"start": 2221.58, "end": 2222.04, "word": " فاهمتوا", "probability": 0.723828125}, {"start": 2222.04, "end": 2222.34, "word": " معناته", "probability": 0.84130859375}, {"start": 2222.34, "end": 2222.46, "word": " إيش", "probability": 0.9480794270833334}, {"start": 2222.46, "end": 2222.72, "word": " معناته", "probability": 0.6866861979166666}, {"start": 2222.72, "end": 2223.44, "word": " useful؟", "probability": 0.926025390625}, {"start": 2223.44, "end": 2223.7, "word": " إن", "probability": 0.383056640625}, 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"probability": 0.320556640625}, {"start": 2237.38, "end": 2237.4, "word": " equal", "probability": 0.6396484375}, {"start": 2237.4, "end": 2238.16, "word": " constant", "probability": 0.896484375}, {"start": 2238.16, "end": 2238.5, "word": " فهمت", "probability": 0.576904296875}, {"start": 2238.5, "end": 2239.1, "word": " عليها؟", "probability": 0.84716796875}], "temperature": 1.0}, {"id": 90, "seek": 226594, "start": 2239.48, "end": 2265.94, "text": "إذا الشروط هذه لم تتحقق، لن تكون ثابتة. وبالتالي، سأضع القانون و سأقف. لن أستطيع أن أقتل أي خطوة بعدها. تمام يا بنات؟ حلو، إيش هذه الأنثى؟ أو الشروط؟ أول شرط يقول بأن الـ charge distribution must have a high degree of symmetry لازم أنت تقول أود يتشد في المجال", "tokens": [28814, 15730, 25124, 32887, 9566, 29538, 32767, 6055, 2655, 5016, 4587, 4587, 12399, 5296, 1863, 6055, 30544, 38637, 16758, 2655, 3660, 13, 46599, 6027, 2655, 6027, 1829, 12399, 8608, 10721, 11242, 3615, 25062, 7649, 11536, 4032, 8608, 10721, 4587, 5172, 13, 5296, 1863, 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" Z", "probability": 0.7255859375}, {"start": 615.61, "end": 616.89, "word": " constant", "probability": 0.441650390625}, {"start": 616.89, "end": 617.37, "word": " انا", "probability": 0.859375}, {"start": 617.37, "end": 617.49, "word": " ايش", "probability": 0.8134765625}, {"start": 617.49, "end": 618.23, "word": " اقول", "probability": 0.55316162109375}, {"start": 618.23, "end": 619.07, "word": " بغير؟", "probability": 0.811279296875}, {"start": 619.07, "end": 619.27, "word": " θ", "probability": 0.5908203125}], "temperature": 1.0}, {"id": 24, "seek": 64850, "start": 620.56, "end": 648.5, "text": "أيش تفاضل الـ cosine؟ تسالب صين و هنا في تسالب صارت 2Rz sin θ Dθ بيتساوي DU حاجته ايه وينها هذه؟ اذا صارت تكامل بتساوي و بدي اجسم على 2Rz ولا لأ؟ هذه sigma R تربيع على 2Y0 و هنا 2Rz و بدل sin θ Dθ اشحط DU", "tokens": [10721, 1829, 8592, 6055, 5172, 46958, 1211, 2423, 39184, 23565, 22807, 6055, 3794, 6027, 3555, 20328, 9957, 4032, 34105, 8978, 6055, 3794, 6027, 3555, 20328, 9640, 2655, 568, 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647.0, "word": " بدل", "probability": 0.50537109375}, {"start": 647.0, "end": 647.24, "word": " sin", "probability": 0.771484375}, {"start": 647.24, "end": 647.46, "word": " θ", "probability": 0.8935546875}, {"start": 647.46, "end": 647.76, "word": " Dθ", "probability": 0.69775390625}, {"start": 647.76, "end": 648.14, "word": " اشحط", "probability": 0.6956787109375}, {"start": 648.14, "end": 648.5, "word": " DU", "probability": 0.426513671875}], "temperature": 1.0}, {"id": 25, "seek": 68073, "start": 658.41, "end": 680.73, "text": "نبعد شويه عن الفيزيا نرجع ال calculus ممكن تعمل refreshing وبعدين نرجع الفيزيا ايش تكلم ال DU على square root of U يلا بس ان انا اعرف الطريقة هو سالب نص", "tokens": [1863, 3555, 22488, 13412, 45865, 3224, 18871, 27188, 1829, 11622, 25528, 8717, 47341, 3615, 2423, 33400, 3714, 43020, 6055, 25957, 1211, 19772, 46599, 22488, 9957, 8717, 47341, 3615, 27188, 1829, 11622, 25528, 1975, 1829, 8592, 6055, 4117, 19528, 2423, 28423, 15844, 3732, 5593, 295, 624, 7251, 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" U", "probability": 0.884765625}, {"start": 669.73, "end": 675.31, "word": " يلا", "probability": 0.560791015625}, {"start": 675.31, "end": 676.01, "word": " بس", "probability": 0.6231689453125}, {"start": 676.01, "end": 676.21, "word": " ان", "probability": 0.40966796875}, {"start": 676.21, "end": 676.35, "word": " انا", "probability": 0.66796875}, {"start": 676.35, "end": 676.63, "word": " اعرف", "probability": 0.91796875}, {"start": 676.63, "end": 677.21, "word": " الطريقة", "probability": 0.9794921875}, {"start": 677.21, "end": 679.33, "word": " هو", "probability": 0.890625}, {"start": 679.33, "end": 679.71, "word": " سالب", "probability": 0.6256510416666666}, {"start": 679.71, "end": 680.73, "word": " نص", "probability": 0.90087890625}], "temperature": 1.0}, {"id": 26, "seek": 71009, "start": 684.55, "end": 710.09, "text": "تتسرعيش No ايش هو سالب نص و لا سالب نص اجمعي واحد سالب نص و واحد سفر لا سالب واحد سالب نص و واحد مايبقى نقولك نص نص جسمي عن نص مطلع اتنين صح لا تمام فهذه اتنين is the square root of U", "tokens": [2655, 2655, 3794, 2288, 3615, 1829, 8592, 883, 1975, 1829, 8592, 31439, 8608, 6027, 3555, 8717, 9381, 4032, 20193, 8608, 6027, 3555, 8717, 9381, 1975, 7435, 2304, 3615, 1829, 36764, 24401, 8608, 6027, 3555, 8717, 9381, 4032, 36764, 24401, 8608, 5172, 2288, 20193, 8608, 6027, 3555, 36764, 24401, 8608, 6027, 3555, 8717, 9381, 4032, 36764, 24401, 19446, 1829, 3555, 4587, 7578, 8717, 39648, 4117, 8717, 9381, 8717, 9381, 10874, 38251, 1829, 18871, 8717, 9381, 3714, 9566, 1211, 3615, 1975, 2655, 1863, 9957, 20328, 5016, 20193, 46811, 10943, 6156, 3224, 24192, 1975, 2655, 1863, 9957, 307, 264, 3732, 5593, 295, 624], "avg_logprob": -0.2846534594450847, "compression_ratio": 1.8588957055214723, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 684.5500000000001, "end": 685.21, "word": "تتسرعيش", "probability": 0.7277483258928571}, {"start": 685.21, "end": 685.87, "word": " No", "probability": 0.03436279296875}, {"start": 685.87, "end": 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سجم عليا epsilon نوت طيب هنطبق هنا", "tokens": [36, 43, 34051, 462, 22063, 317, 20328, 5016, 49429, 5296, 10721, 22807, 462, 16, 51, 12, 36, 17, 51, 39894, 3794, 45865, 1958, 4724, 39648, 2423, 27747, 6542, 295, 462, 307, 1009, 10957, 2423, 27747, 6542, 295, 462, 307, 1009, 10957, 44381, 2423, 2710, 6542, 37893, 10957, 39894, 3794, 45865, 8608, 7435, 2304, 11203, 25528, 17889, 8717, 35473, 23032, 1829, 3555, 8032, 1863, 9566, 3555, 4587, 34105], "avg_logprob": -0.3906250043826945, "compression_ratio": 1.5681818181818181, "no_speech_prob": 0.0, "words": [{"start": 2441.71, "end": 2442.27, "word": "EL", "probability": 0.2041015625}, {"start": 2442.27, "end": 2442.53, "word": " أو", "probability": 0.58544921875}, {"start": 2442.53, "end": 2442.75, "word": " E", "probability": 0.8876953125}, {"start": 2442.75, "end": 2443.49, "word": " Tangent", "probability": 0.71826171875}, {"start": 2443.49, "end": 2444.37, "word": " صح", "probability": 0.7181396484375}, {"start": 2444.37, "end": 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--> 00:01:28,760 +شيء + +11 +00:01:28,760 --> 00:01:43,760 +أخش + +12 +00:01:43,760 --> 00:01:46,660 +أنا على الأسئلة + +13 +00:02:00,160 --> 00:02:07,610 +الصفحة بتنجليني، يعني هاي تلاتة زي ما أنا حكيت + +14 +00:02:07,610 --> 00:02:12,010 +خلّيني أعيد بالنسبة للـ image methods الـ + +15 +00:02:12,010 --> 00:02:14,950 +image methods، يعني فيما لو أنا بدي أجيب image + +16 +00:02:14,950 --> 00:02:19,790 +methods، بدي أكون يعني في hint، وانتَ تحطّ الـ image حتى + +17 +00:02:19,790 --> 00:02:23,630 +عشان نختصر عليكم الكلام، وبالتالي دائما أسئلة الـ + +18 +00:02:23,630 --> 00:02:27,970 +image، أسئلة محدودة، ومافيش فيها فرصة كتير غالبا + +19 +00:02:27,970 --> 00:02:32,310 +وبالتالي بتصير أسئلة مش ذات قيمة، يعني كيف يعني.. + +20 +00:02:32,970 --> 00:02:35,790 +هاجمك تحطّ الـ image، يعني لازم أقولك.. أقولك وين + +21 +00:02:35,790 --> 00:02:41,250 +تحطيها في.. على الأقل يعني بقولكش في أي منطقة، بس + +22 +00:02:41,250 --> 00:02:45,590 +بقولك وين تحطيها، بسهّل عليك كتير أمور، عشان هل في + +23 +00:02:45,590 --> 00:02:49,630 +عندك one image مثل image ولا three image، فغالبا + +24 +00:02:49,630 --> 00:02:50,390 +أسفة، الـ image + +25 +00:03:00,190 --> 00:03:04,990 +أي تلت سابعة اللي بتحكي عنها؟ نتجوّزها، خليني أشوف + +26 +00:03:04,990 --> 00:03:10,370 +عنكم مثلا في + +27 +00:03:10,370 --> 00:03:20,050 +هذه الأسئلة while + +28 +00:03:20,050 --> 00:03:26,430 +speaker coordinates، خليني + +29 +00:03:26,430 --> 00:03:29,230 +أنا أديكم هذا السؤال اللي سأله الشباب، مزارعكم + +30 +00:03:32,220 --> 00:03:38,460 +سؤال سبعة وتلاتين، أظنّ؟ طيب، اه، احكي، ما أنا قاعد + +31 +00:03:38,460 --> 00:03:42,140 +بالسن، لحدّ يحكي، سؤال عشرين + +32 +00:04:10,630 --> 00:04:14,930 +محطوطة في uniform electric field زي المثال، إيش + +33 +00:04:14,930 --> 00:04:18,970 +أفراد بتقول اللي بتشارج الـ الـ الـ الـ الـ + +34 +00:04:18,970 --> 00:04:19,170 +الـ الـ الـ الـ الـ + +35 +00:04:19,170 --> 00:04:19,930 +الـ الـ الـ الـ الـ الـ الـ الـ الـ + +36 +00:04:19,930 --> 00:04:20,710 +الـ الـ الـ الـ الـ الـ الـ الـ الـ + +37 +00:04:20,710 --> 00:04:21,730 +الـ الـ الـ الـ الـ الـ الـ الـ الـ + +38 +00:04:21,730 --> 00:04:21,810 +الـ الـ الـ الـ الـ الـ الـ الـ الـ + +39 +00:04:21,810 --> 00:04:28,550 +الـ الـ الـ الـ الـ الـ الـ الـ الـ + +40 +00:04:28,550 --> 00:04:31,870 +الـ الـ الـ الـ الـ الـ الـ + +41 +00:04:35,230 --> 00:04:40,310 +Find the potential outside، طبعا لا يمكنني أن أقول + +42 +00:04:40,310 --> 00:04:48,090 +inside لأنه conductor، مظبوط ولا لأ؟ فالـ V بتساوي الـ + +43 +00:04:48,090 --> 00:04:59,090 +summation AL R أُس L plus BL على R أُس L plus 1. Pin + +44 +00:04:59,090 --> 00:05:04,710 +هاي الحل العام اللي إحنا بنعطيكم إياه. مطلوب كيف أجيب + +45 +00:05:04,710 --> 00:05:08,950 +الـ As والـ Bs، صحيح ولا لأ؟ إذا نبدأ الـ boundary + +46 +00:05:08,950 --> 00:05:13,790 +conditions، صحيح؟ تمام، زي ما اتفقنا الـ boundary + +47 +00:05:13,790 --> 00:05:17,090 +conditions، في منها universal، يعني standard منهجية + +48 +00:05:17,090 --> 00:05:21,390 +أو بالسؤال بشكل عام موجودة، وفي بعض منها بتجيبها + +49 +00:05:21,390 --> 00:05:27,470 +أنت من نقطية السؤال، صحيح ولا لأ؟ يعني مثلا، هدي out + +50 +00:05:27,470 --> 00:05:33,350 +لما R goes to infinity، هل V equal to zero؟ لأ + +51 +00:05:33,350 --> 00:05:39,570 +إذا معناته E بيساوي E naught بتجاه Z، إذا من هنا + +52 +00:05:39,570 --> 00:05:44,450 +بقدر أقول إن V بيساوي E naught في Z، زي الثابت + +53 +00:05:44,450 --> 00:05:51,270 +بالنقص، طيب + +54 +00:05:51,270 --> 00:05:57,400 +هالـ gate هي أول boundary condition، الـ Boundary + +55 +00:05:57,400 --> 00:06:03,280 +Condition الثاني، الـ R بتساوي capital R، و V بتساوي + +56 +00:06:03,280 --> 00:06:07,320 +constant، بظبط + +57 +00:06:07,320 --> 00:06:12,200 +هيك ولا لأ؟ لأنه كان دكتور، إذا هدف ثابت، هل + +58 +00:06:12,200 --> 00:06:16,040 +universal ولا حسب طبيعة السؤال؟ حسب طبيعة السؤال + +59 +00:06:16,040 --> 00:06:19,580 +الدكتور أحيانا مش عارفة، إن المرات تنقض من بي إن + +60 +00:06:19,580 --> 00:06:28,300 +تساوي بي، أو برا، عليكي هو هدف، ما هو هذا هو + +61 +00:06:28,300 --> 00:06:33,100 +أنا هاجده اللي بجيب برا ولا جوه؟ أنا بجيب برا، صح؟ + +62 +00:06:33,100 --> 00:06:37,200 +هاجد هذا اللي برا، مفروض يساوي اللي جوه عند السطح + +63 +00:06:37,200 --> 00:06:42,440 +ولا لأ؟ لاتجدش عند السطح موجود قيمته، فاقت، يعني هو + +64 +00:06:42,440 --> 00:06:47,320 +أصلا الـ R بيساوي R، الـ universal V in بيساوي V out + +65 +00:06:47,320 --> 00:06:50,560 +صح؟ عشان الـ conductor هذا، عشان الـ conductor هذا، إيش + +66 +00:06:50,560 --> 00:06:56,370 +بيساوي؟ إذا هذا هو V in، أما إذا ماكنتش مظفر، حيث.. + +67 +00:06:56,370 --> 00:07:02,850 +تقول V in بتساوي V out، بس اه، اتفاجرها هيك؟ تمام + +68 +00:07:02,850 --> 00:07:07,210 +الشغل الثاني الآن، بيقول لي أنا عندي شحنة two، إذا + +69 +00:07:07,210 --> 00:07:14,030 +المفروض أنّه partial V out على partial R اللي هي in + +70 +00:07:14,030 --> 00:07:19,170 +minus partial V in على partial R، بيساوي سالب سجنه + +71 +00:07:19,170 --> 00:07:23,690 +على epsilon not. هذه ليش أنا جيبتها؟ لأنّه بيقول لي + +72 +00:07:23,690 --> 00:07:27,310 +فيه على السطح شحنة ولا لا؟ أعطاني شحنة على السطح، + +73 +00:07:27,310 --> 00:07:31,590 +الـ Q، اللي هي بيبقى منها باجيب سيجما، لأنّه سيجما + +74 +00:07:31,590 --> 00:07:41,790 +بيساوي Q على أربعة باي ار تربيع. أحكي، إذا بده سيجما + +75 +00:07:41,790 --> 00:07:51,070 +برضه منه بيجيبه، هذا بيطلع صفر؟ مش صحيح، + +76 +00:07:53,360 --> 00:07:56,960 +مستحيل، مستحيل، يكون فيه خلل، لأنّ هادي سيجما is not + +77 +00:07:56,960 --> 00:08:01,860 +واكترش، هادي لما كانت الـ conductor بدون الـ Q، فاهم، + +78 +00:08:01,860 --> 00:08:05,200 +مش هيك الحاجات اللي إحنا عندنا الفيقة، لأنّ VIN دي + +79 +00:08:05,200 --> 00:08:10,020 +صوص في البرتجال، VIN عبارة عن.. هادي Zero، ضلت + +80 +00:08:10,020 --> 00:08:14,420 +عندك هادي الفيقة، وفيها نفسها اللي بيقول عنها.. + +81 +00:08:14,420 --> 00:08:19,100 +مش عاوزة عنها تلفيك اللي عندنا اه، بس هتلاقي فيه + +82 +00:08:19,100 --> 00:08:23,500 +اختلاف في الـ constants، في الـ constant هيختلف من زي + +83 +00:08:23,500 --> 00:08:29,500 +أول، تمام؟ بنبدأ.. بنشغل على هذا الأساس، طبعا هذه + +84 +00:08:29,500 --> 00:08:32,860 +بتخليكي + +85 +00:08:32,860 --> 00:08:39,180 +تقولي إيش إنّه اتقال جزء ماله نهاية، بتصير E note + +86 +00:08:39,180 --> 00:08:47,140 +بالثالث في R cosine فيتا زائد constant بتساوي + +87 +00:08:52,780 --> 00:08:59,680 +ALRLPL، بظبوتك ولا لا؟ عشان أطلع AL، بدي أضرب في BL + +88 +00:08:59,680 --> 00:09:05,240 +شرطة وأكامل من ناقص واحد لواحد، صحيح ولا لا؟ إيش + +89 +00:09:05,240 --> 00:09:11,120 +بيصير في عندي هان؟ هان هذه B1، وهذه مضروبة في B0 + +90 +00:09:11,120 --> 00:09:21,220 +تمام؟ لو إيدينا اشتغلنا، تمام؟ هيطلع عندك A0 بتساوي + +91 +00:09:21,220 --> 00:09:24,600 +K، و + +92 +00:09:24,600 --> 00:09:33,040 +A1 بتساوي ناقص E0، و + +93 +00:09:33,040 --> 00:09:39,980 +إيش بعد كده بيقول لي AL بتساوي 0 for الأكبر من رقم واحد + +94 +00:09:43,770 --> 00:09:57,030 +تمام، هذه حلوة، معناته الـ V أصبحت A0 زائد A1R Cos + +95 +00:09:57,030 --> 00:10:04,350 +فيتا plus BL على R أُس L plus 1 Cos فيتا + +96 +00:10:07,120 --> 00:10:11,980 +خلصت الـ a's، أنا كلهم zeros إلا a0 و a1، طبعا لو + +97 +00:10:11,980 --> 00:10:14,960 +حطيت a0 و a1، ما a0 و a1 عندهم ما قيلهم في دوابتهم + +98 +00:10:14,960 --> 00:10:20,650 +خلصت منهم، أنا إيش اللي ضايق عليك؟ كل الـ b's، كل الـ + +99 +00:10:20,650 --> 00:10:26,610 +بيِس، يسمع بديهُ، تمام، أنت عندك الآن الـ R بتساوي + +100 +00:10:26,610 --> 00:10:32,650 +capital R، V بتساوي constant، كلها + +101 +00:10:32,650 --> 00:10:38,150 +الـ بيس، كلها الـ بيس، إحنا إيه.. الغالي إيه بيها دي؟ + +102 +00:10:38,150 --> 00:10:43,510 +لأ، بيجيبهم كلهم، فبتبدأ من هنا وبتبدأ تشتغلي، و + +103 +00:10:43,510 --> 00:10:48,770 +بعدين بتجيبي هذه، بتطلع كل ثوابتك، هيك بتطلع كل + +104 +00:10:48,770 --> 00:10:49,370 +ثوابتك + +105 +00:10:53,260 --> 00:10:57,080 +تمام يا زينب؟ إذا كتبنا الـ Boundary Condition زي + +106 +00:10:57,080 --> 00:11:02,760 +ما حكت هدى، لحد كبير، بنقول إن الطالب حط حاله على + +107 +00:11:02,760 --> 00:11:07,480 +ثقة، صحة، هجيت مندخش في الطريق، فيه مطبات كثيرة، + +108 +00:11:07,480 --> 00:11:12,800 +جدر يتجوزهم ويصل للهدف، هاي الهدف، تمام، بنشر في + +109 +00:11:12,800 --> 00:11:18,720 +الطريق، بصنع الهدف، لكن في الآخر مش فيها السكة، لكن + +110 +00:11:18,720 --> 00:11:24,000 +الـ boundary condition هي إنّك بتشوف إنّك طالب حط حلو + +111 +00:11:24,000 --> 00:11:27,460 +على السكة الصح ولا لأ، وبالتالي و بتـ launch كمان + +112 +00:11:27,460 --> 00:11:31,400 +العقبات أو المطبات اللي بنحكي عنها هي التلكات + +113 +00:11:31,400 --> 00:11:34,860 +الرياضية اللي إحنا بنستخدمها عشان نجيب كل ثوابتنا + +114 +00:11:34,860 --> 00:11:42,310 +تمام يا زينب؟ بتكمل، بده شوية شغل رياضية دي، طبعا + +115 +00:11:42,310 --> 00:11:46,470 +طبعا هي هي نفس الشيء، ناس في الإجراء بنتعامل معاهم + +116 +00:11:46,470 --> 00:11:54,610 +هذا السؤال العشرين، أنا السؤال احكي أربعة وتلاتين + +117 +00:11:54,610 --> 00:11:57,970 +ماشي يا ما بتجربيني على الـ + +118 +00:12:13,710 --> 00:12:19,590 +سؤال 34، يعني هو سؤال ممزوج، هو سؤال image في الآخر + +119 +00:12:19,590 --> 00:12:24,770 +بيقول لي a point in charge Q of mass M is released + +120 +00:12:24,770 --> 00:12:30,050 +from rest a distance D from an infinitely grounded + +121 +00:12:30,050 --> 00:12:35,130 +conducting plane، تمام؟ أنا عندي.. ها.. ودي + +122 +00:12:35,130 --> 00:12:43,350 +بتينا، تمام؟ أنا بهمني إنّ F بتساوي MA، وهذه بتساوي MD + +123 +00:12:43,350 --> 00:12:47,870 +تربيع X على DT تربيع، هذه سؤال كلاسيك، بس نشوف إيش + +124 +00:12:47,870 --> 00:12:50,570 +الكهربا اللي فيه، سؤال كلاسيك، مانت بتاخده كلاسيك + +125 +00:12:50,570 --> 00:12:53,970 +قاعدين قاعدين كده بتعاملوا معاه، بيقول لي how long؟ + +126 +00:12:53,970 --> 00:12:59,470 +بتدرس زمان، will it take for the charge to hit the + +127 +00:12:59,470 --> 00:13:05,990 +plate؟ على اعتبار أنّ هذه المسافة D، صح ولا لأ؟ إذا + +128 +00:13:05,990 --> 00:13:10,510 +قدرت تجيب وقف، خلص السؤال، صار سؤالي classic، إنّ + +129 +00:13:10,510 --> 00:13:15,720 +كنت كنت بتـ candle مرتين، بتجيبوا الـ X معطية، و + +130 +00:13:15,720 --> 00:13:20,420 +بتجيبوا، تقدروا تجيبوا الـ T، صح ولا لأ؟ لأنّه لما تيجي + +131 +00:13:20,420 --> 00:13:25,980 +تكملة بتقولوا والله هذه F بيساوي MA، F أي إن كانت + +132 +00:13:25,980 --> 00:13:32,660 +على M بيساوي D تربيع X على DT تربيع، إذا DX على DT + +133 +00:13:32,660 --> 00:13:37,600 +بيساوي F على M في الـ T زائد constant، وبتكمله كمان + +134 +00:13:37,600 --> 00:13:43,030 +مرة، وبتجيبوا الـ T من هذه المعادلة، المهم كيف أجيب + +135 +00:13:43,030 --> 00:13:49,390 +الـ force؟ هنا الكهربا الـ force هذه سؤال عبارة عن + +136 +00:13:49,390 --> 00:13:53,510 +immediate charge، immediate charge، حلّته هذه + +137 +00:13:53,510 --> 00:14:00,530 +grounded metal، صح؟ إذا معناته.. هذه استبدلتها بالـ + +138 +00:14:00,530 --> 00:14:09,370 +charge زي هيك، إذا اف يا بنات، صار عبارة عن كيو كيو + +139 +00:14:09,370 --> 00:14:12,910 +واحد كيو اتنين على أربعة باي ار تربيع، عبارة عن two pointed + +140 +00:14:12,910 --> 00:14:18,090 +charges، مظبوط ولا لا؟ two pointed charges، كيو واحد + +141 +00:14:18,090 --> 00:14:23,450 +هي كيو، كيو اتنين برضه كيو بالسالب، صح؟ إذا صارت كيو + +142 +00:14:23,450 --> 00:14:30,260 +square، هذه صارت اتنين دي لكل تربيع، خلصنا، خلاص، + +143 +00:14:30,260 --> 00:14:35,840 +انتهيت. إذا هذا سؤال فقط عشان يقولك الـ imaged + +144 +00:14:35,840 --> 00:14:41,000 +charge يستبدل بـ pointed charge الأصلية زائد image + +145 +00:14:41,000 --> 00:14:45,520 +وبصير تعامليها وكأنه ما فيش شيء plain، صار عندك two + +146 +00:14:45,520 --> 00:14:48,620 +pointed charges، جيب الـ force واشتغلي على سؤال الـ + +147 +00:14:48,620 --> 00:14:56,860 +classic، اعتبريه وحليه، غيرها + +148 +00:15:00,090 --> 00:15:08,310 +أنا سؤال الشباب بيسألونيه 37، تمام، 37 لو تتطلعوا + +149 +00:15:08,310 --> 00:15:14,010 +عليه، يشوفوا، نشتغل في الـ boundary condition، سؤال 37 + +150 +00:15:14,010 --> 00:15:17,770 +بيقول التالي، خلّيني نكتب الـ boundary condition + +151 +00:15:17,770 --> 00:15:21,890 +تفصيلا، ممكن أخذنا نص المحاضرة وإحنا عليه، عندي + +152 +00:15:21,890 --> 00:15:29,070 +الشباب بيقول + +153 +00:15:29,070 --> 00:15:34,250 +لي، هل أنت سألتني وأيام عليه برضه؟ اه، أظنّني، تمام + +154 +00:15:34,250 --> 00:15:38,450 +بيقول + +155 +00:15:38,450 --> 00:15:43,550 +السؤال a conducting sphere، إذا الـ sphere كونه + +156 +00:15:43,550 --> 00:15:47,590 +conductor، معطى الجهود جوا constant، يساوي الجهود + +157 +00:15:47,590 --> 00:15:56,510 +على السطح، هاي conducting sphere، conductor نسخته + +158 +00:15:56,510 --> 00:16:04,240 +إيه؟ تمام، الـ Potential V0، الجهده ثابت وجاي ثابت + +159 +00:16:04,240 --> 00:16:08,020 +اعتبره V0، لو ما جاليش V0، بدي أقوله ثابت، أنا بدي + +160 +00:16:08,020 --> 00:16:10,680 +أجيب boundary condition وأقوله ثابت، سميّه K، لكن هو + +161 +00:16:10,680 --> 00:16:14,860 +مريح، نجالي V0، يعني هذه معطى زيادة إنّه جالي + +162 +00:16:14,860 --> 00:16:18,760 +conductor، خلاص بكفي، ما فيش جعلي يقول الجهد عليه V0 + +163 +00:16:18,760 --> 00:16:23,480 +خلاص الجهد عليه ثابت، بس هو ثابت، نسميه V0، لكن أنا + +164 +00:16:23,480 --> 00:16:28,120 +كثير زيادة، بقول ثابت K، C، B، C بالكمية، إذا الجهد + +165 +00:16:28,120 --> 00:16:35,540 +اللي هنا، أعطاني ياذي note حلو، It's surrounded by a + +166 +00:16:35,540 --> 00:16:40,060 +thin concentric spherical shell of radius P، يقولون + +167 +00:16:40,060 --> 00:16:45,660 +راح أتحطّوا بـ shell، هذا الـ shell نصقطر بيه + +168 +00:16:49,660 --> 00:16:54,920 +over which someone has glued a surface charge + +169 +00:16:54,920 --> 00:16:59,640 +بيقول لي واحد حطّ لك شحنات على الشيء اللي هدلزرك، إيش + +170 +00:16:59,640 --> 00:17:05,320 +الشحنات اللي عليها؟ قال لي Sigma بتساوي K Cos Phi + +171 +00:17:05,320 --> 00:17:15,250 +حلو؟ تمام؟ نش + +223 +00:22:58,460 --> 00:23:02,660 +أشوف الـ V2 أخفف منه دائماً الواحد بيخفف من كل واحد + +224 +00:23:02,660 --> 00:23:05,800 +على حدة، وبعدين لما يربطهم مع بعض بيربطهم مع بعض + +225 +00:23:05,800 --> 00:23:10,060 +لما يكون خفف منهم فهذا بيربط الثاني مع بعض بتعامل + +226 +00:23:10,060 --> 00:23:13,160 +بس مع الثاني هذا وهذا بيربطوا الثانيين في بعض، صح ولا + +227 +00:23:13,160 --> 00:23:17,820 +لأ، نجي لهذا، بيقول الـ R بيساوي V2 بيساوي V0 إذاً من + +228 +00:23:17,820 --> 00:23:24,810 +هنا بدي أحط V0 بيساوي الـ summation AL أُس L Plus + +229 +00:23:24,810 --> 00:23:35,310 +BL AL Plus 1 PL إيش + +230 +00:23:35,310 --> 00:23:39,590 +يساوي يا هودة؟ ما دريش تقولي ما بعرفش، ما بعرفش شو رايكنا، إيش + +231 +00:23:39,590 --> 00:23:42,930 +بتساوي؟ + +232 +00:23:42,930 --> 00:23:48,310 +آه، بضرب إيش .. ها .. بدك تضرب في بي إل شرطة، و + +233 +00:23:48,310 --> 00:23:51,070 +تكملي تفاصيل معالجة هذا كيف بدك تحطيه؟ إيش بدك + +234 +00:23:51,070 --> 00:23:56,830 +تسوي فيه؟ هذا بدك تحطيه لتضربيه في حاجة اسمها + +235 +00:23:56,830 --> 00:23:59,850 +بيس بي واحد ولا بي اتنين ولا بي صفر ولا إيش + +236 +00:23:59,850 --> 00:24:04,950 +بدك إياها بي صفر لأن هذا مضروب في واحد، إذاً هذه + +237 +00:24:04,950 --> 00:24:09,010 +لو كتبت لك بي صفر في مشكلة؟ حاجات لما تضرب في بي إل + +238 +00:24:09,010 --> 00:24:13,550 +وهناك في بي إل هذه هيكون the note partial صفر + +239 +00:24:15,040 --> 00:24:19,700 +صح؟ إيش يعني Delta L صفر؟ Delta L صفر؟ يعني فقط لما + +240 +00:24:19,700 --> 00:24:24,160 +قلت صفر عند القيمة، والباقي ما فيش قيم، صح ولا؟ إذاً + +241 +00:24:24,160 --> 00:24:30,100 +معناته منها أنا لما أجي أشتغل أضربها، فهيطلع معايا + +242 +00:24:30,100 --> 00:24:38,300 +بهذا الضرب المباشر هيطلع عندي A صفر Plus B صفر على + +243 +00:24:38,300 --> 00:24:40,560 +A بتساوي V Note + +244 +00:24:44,540 --> 00:24:56,000 +لما L تساوي 0 Add aL أُس L plus bL على aL plus 1 + +245 +00:24:56,000 --> 00:25:05,960 +بتساوي 0 لما L لا تساوي 0 طبعاً + +246 +00:25:05,960 --> 00:25:13,240 +بتطلع aL بدلالات الـ bL بتجيب علاقة، وهنا من هذه الآن + +247 +00:25:17,030 --> 00:25:22,190 +بدي اشتغل على هذه الحادثة؟ + +248 +00:25:22,190 --> 00:25:30,350 +آه، على هذه، صحيح، على هذه الحادثة الـ R بتساوي B V1 + +249 +00:25:30,350 --> 00:25:35,250 +بتساوي V2 فبدي أساوي هذه في هذه وأطلع تقريب + +250 +00:25:35,250 --> 00:25:39,430 +المعادلة، زي هذه ساعتها بتوفق كل المعادلات، بضل عندي + +251 +00:25:39,430 --> 00:25:43,350 +شغلة بسيطة بجيبها من ها وبشتغل معاها، تنسوش أن + +252 +00:25:43,350 --> 00:25:49,860 +هذه سيجما بتساوي KB1 ك بي وان لأن ك قياس الفيتا فـ ك + +253 +00:25:49,860 --> 00:25:55,500 +بي وان على + +254 +00:25:55,500 --> 00:26:00,300 +إيش لأ + +255 +00:26:00,300 --> 00:26:04,840 +تبقى أنت جاي جاي، جاي تجيب علاقة جديدة، A صفر يا نور + +256 +00:26:04,840 --> 00:26:07,060 +جديدة A صفر + +257 +00:26:13,350 --> 00:26:18,070 +وينها؟ هل هذه صفر وهذه صفر؟ لأ، أنت بتجيبي الـ + +258 +00:26:18,070 --> 00:26:22,730 +و بي ال كمان معادلة إلها من هذه، دي عاجزة من هذه + +259 +00:26:22,730 --> 00:26:27,090 +هتجيب كمان مرة، تربط الـ s مع الـ b's وهنا هتضرب الـ + +260 +00:26:27,090 --> 00:26:30,210 +a صفر مع الـ b صفر، ساعتها بتفكي، بتبدأ أنت عندك + +261 +00:26:30,210 --> 00:26:33,650 +مجهولين وهنا مجهولين، طب أنا هساوي الـ b one مع v2 + +262 +00:26:33,650 --> 00:26:40,090 +قال لك v2 باتنين، هذه اتنين، هذه آه، اللي هي زي ما هي + +263 +00:26:40,090 --> 00:26:43,390 +لسه أنت ما عندكش حاجة، أنت ما طلعتش a0 ولا b0 ولا + +264 +00:26:43,390 --> 00:26:47,150 +حاجة، أنت جبت معادلات، يعني أنت من هذه المعادلات + +265 +00:26:47,150 --> 00:26:51,950 +ما قدرتِ تطلعي لا a0 ولا b0 ولا a1 ولا ... ولا شيء + +266 +00:26:51,950 --> 00:26:57,830 +بجيب بينهم علاقة، فبدي كمان boundary condition عشان + +267 +00:26:57,830 --> 00:27:02,290 +يطلع كمان معادلات تقدر ساعتها تجيب a0 و b0 و a1 + +268 +00:27:02,290 --> 00:27:10,030 +و b1، تمام؟ طب ما نساويش هنا معاملة، ما هي هي، أنا سويت + +269 +00:27:10,030 --> 00:27:14,490 +المعاملة هي هي هي هي، بدك .. أصلاً أن أنت معكِ + +270 +00:27:14,490 --> 00:27:18,650 +boundary condition كافية هذه وبالآخر هذه فبتكفي + +271 +00:27:18,650 --> 00:27:25,670 +وأنت بتشتغلي طبعاً شوية شوية طويل عشان الـ الـ + +272 +00:27:25,670 --> 00:27:30,030 +المتطلبات طبعاً كتيرة، خلينا نسميها، لكن في النهاية + +273 +00:27:30,030 --> 00:27:34,470 +أنا كتبت الـ boundary condition صح، بدي أكمل وما فيش + +274 +00:27:34,470 --> 00:27:35,930 +عندي أي إشكالية غيرها + +275 +00:27:38,950 --> 00:27:46,110 +السؤال 26، إذا نجي نرجع عن الـ quadratic الـ + +276 +00:27:46,110 --> 00:27:50,490 +quadrapole قصدك، السؤال + +277 +00:27:50,490 --> 00:27:55,110 +26، ويعني؟ آه، الـ sphere of radius are centered at + +278 +00:27:55,110 --> 00:28:00,370 +the origin في + +279 +00:28:00,370 --> 00:28:04,050 +الـ quadrapole اللي هي هذه هيها + +280 +00:28:07,690 --> 00:28:14,670 +هذه وهذه وهذه، هذه هي، مش هذه، دي هو دي شو، هذه هي + +281 +00:28:14,670 --> 00:28:24,210 +من عند التكامل وطلعت هذه اللي قدامها، هذه + +282 +00:28:24,210 --> 00:28:30,840 +هي طبعاً يعني لما R تساوي صفر، اللي هي الـ monopole + +283 +00:28:30,840 --> 00:28:35,660 +لأن في النهاية ما يبقى عندك إلا الصفر وهذا واحد بيكون + +284 +00:28:35,660 --> 00:28:41,260 +مجموع الـ charge تمام؟ لما R تساوي واحد، R في cosine + +285 +00:28:41,260 --> 00:28:47,880 +في ثيتا باي، الـ quadruple هذه هتساوِ two فـ الـ + +286 +00:28:47,880 --> 00:28:56,880 +two هي P2، و P2 بيبقى نقولها أكبر + +287 +00:28:56,880 --> 00:28:58,820 +المساحة + +288 +00:29:01,620 --> 00:29:08,800 +تمام، بهمش سؤال، وي ار تحكي + +289 +00:29:08,800 --> 00:29:15,440 +وي ار برو علينا، هو هي ترك السؤال، إذا إيه؟ طب إيش + +290 +00:29:15,440 --> 00:29:21,360 +بدك تجيبها R شرطة؟ هي إيش السؤال؟ الـ theory يعني + +291 +00:29:21,360 --> 00:29:26,960 +من جوا مصممة، طيب R شرطة فيزيائياً إيش بتعنيلك؟ + +292 +00:29:28,480 --> 00:29:33,100 +العنصر بيحدد الـ source، هاي السفير وهي الـ source + +293 +00:29:33,100 --> 00:29:39,160 +يلا قولي لي R شرطة جديدة، نفس الـ diode نفسها، آه هي + +294 +00:29:39,160 --> 00:29:42,840 +R شرطة من جوا، R شرطة بتتغير، R شرطة اللي + +295 +00:29:42,840 --> 00:29:47,920 +بتتغير معكِ جوا الـ in والـ in صفر، واحد، صفر، صفر + +296 +00:29:47,920 --> 00:29:54,180 +واحد، واحد، اتنين، اتنين، لكن هذه R شرطة ما هي قطع + +297 +00:29:54,180 --> 00:30:00,360 +نفسها، طبعاً التكامل اللي تبعك اللي بدك تشتغل بدك + +298 +00:30:00,360 --> 00:30:05,840 +تشتغل عليه، طبعاً هذا معطيك هذا اللي هي P2، هذه P2 + +299 +00:30:05,840 --> 00:30:09,000 +اللي معطيك إياها بتاعة الـ Legendary Pronominals + +300 +00:30:09,000 --> 00:30:20,540 +وبنتعامل معاها غيرها بس + +301 +00:30:20,540 --> 00:30:23,680 +يا سؤال يا دكتور، السؤال اسم اللي حاولناه أول أشياء + +302 +00:30:27,230 --> 00:30:30,110 +خليني، ما بديش أضايق عليه، وجيت بعدين بشوف يعني بنشوف + +303 +00:30:30,110 --> 00:30:33,390 +يعني أنا بقى لحالنا بنشوف إيش اللي صار فيه مشكلة + +304 +00:30:33,390 --> 00:30:42,470 +هو لازم الـ total Q يكون الـ Q اللي أعطاني إياها غيرها + +305 +00:30:42,470 --> 00:30:49,930 +شفنا + +306 +00:30:49,930 --> 00:30:57,240 +أثر الـ نماذج لسه ما شفناها، ليه نعرف أنك دلوقت + +307 +00:30:57,240 --> 00:31:03,060 +معاك؟ أنا مش حامل نماذج، مع الأسف الـ flash بصراحة + +308 +00:31:03,060 --> 00:31:06,020 +راح فجأة، اللي ما فيه كان اللي أنا وفي الدار + +309 +00:31:06,020 --> 00:31:13,420 +النسخة الأصلية تبعي، اللي هو كل النماذج + +310 +00:31:13,420 --> 00:31:14,680 +السابقة، خلينا نسميها + +311 +00:31:34,440 --> 00:31:42,240 +وأغلبها أسئلة، يعني أنا طلعت عليها إلى حد كبير + +312 +00:31:42,240 --> 00:31:44,080 +أسئلة، عملت + +313 +00:31:59,010 --> 00:32:01,730 +شَبْطة أربعة، جاهزين لهم؟ + +314 +00:32:18,650 --> 00:32:21,250 +لأنه أهم حاجة في Chapter 3 أنكم تعرفوا كيف + +315 +00:32:21,250 --> 00:32:24,990 +تتعاملوا أو كيف تحلوا Laplace equation وتحطوا الـ + +316 +00:32:24,990 --> 00:32:29,230 +boundary conditions وتكونوا عندكم المهارة تتعاملوا + +317 +00:32:29,230 --> 00:32:32,810 +مع الـ mathematics تبعها عشان تطلعوا الـ constants + +318 +00:32:32,810 --> 00:32:39,380 +فإنّي أنا أغلب الـ formulates الرياضية هاعطيكم + +319 +00:32:39,380 --> 00:32:42,940 +إياها، يعني بيضل عليكم اللي تستخدموا مهارتكم كيف + +320 +00:32:42,940 --> 00:32:46,100 +تطلعوا الثوابت وكيف تجيبوا الـ boundary conditions + +321 +00:32:46,100 --> 00:32:50,580 +الـ boundary conditions ضرورية تلاحظوا صح، لإنه هيكون + +322 +00:32:50,580 --> 00:32:54,840 +عليها جزء مش بسيط من العلامات، وبعد كده الـ + +323 +00:32:54,840 --> 00:32:58,560 +mathematics كله حسب الجديدة بيمشي في الـ mathematics صح + +324 +00:32:58,560 --> 00:33:02,940 +يقيم، يعني في هذه الحالة + +325 +00:33:09,370 --> 00:33:12,510 +احنا عندنا تلات مواضيع في شَبْطة تلاتة، ما هولمش في + +326 +00:33:12,510 --> 00:33:19,470 +رابع، أن نحلها بـ Laplace equation، الرقم الأساسي في + +327 +00:33:19,470 --> 00:33:23,890 +الشَبْطة هو الرقم الأساسي في الشَبْطة، إنه كيف أحل الـ + +328 +00:33:23,890 --> 00:33:28,030 +equation أصلاً، في كتير من الكتب بيسموه الـ boundary + +329 +00:33:28,030 --> 00:33:32,210 +value problems، عنوان الشَبْطة، الشَبْطة يعني لأن هذا + +330 +00:33:32,210 --> 00:33:36,970 +أهم في هذا الشَبْطة، طبعاً احنا عشان هو ضامن أكثر من + +331 +00:33:36,970 --> 00:33:41,550 +شغلة، فكاتبها special techniques، تمام، الـ method of + +332 +00:33:41,550 --> 00:33:49,500 +images زي ما حكينا، هذه طريقة، خليني أقول هي مشيّة في + +333 +00:33:49,500 --> 00:33:53,860 +القهر بقى، أنا غالباً بستغني عنها، غالباً بستغني عنها، + +334 +00:33:53,860 --> 00:33:57,220 +لكن لو بدي أجيبها، بدي يكون في عندنا حسابات كتيرة، + +335 +00:33:57,220 --> 00:34:01,740 +لكن غالباً بستغني عنها، بضل عندي الـ multiple expansion + +336 +00:34:02,330 --> 00:34:07,170 +الـ Multiple Expansion يعني هي بتعتمد على مهارة + +337 +00:34:07,170 --> 00:34:11,430 +أُخذت سابقاً، يعني مهارة رياضية إن كيف أجيب الـ R + +338 +00:34:11,430 --> 00:34:16,710 +والـ R شرطة بس وكيف أتعامل .. يعني وكأنه أنا بدي + +339 +00:34:16,710 --> 00:34:19,950 +أعمل test، لو بدي أجيب سؤال زي هذا، بدي أشوف الطالب + +340 +00:34:19,950 --> 00:34:23,190 +مازال بيعرف يجيب الـ R والـ R شرطة ولا لا، يعني لو + +341 +00:34:23,190 --> 00:34:25,490 +أنا عندي summation، إذا كان عندكم Pointed Charges + +342 +00:34:25,490 --> 00:34:28,870 +متقابلة بالـ C Summation وأنكم تجيبوا R شرطة لكل + +343 +00:34:28,870 --> 00:34:35,090 +شحنة، والـ R شرطة اللي هي هذه تعتبر جداً مهمة، إنه + +344 +00:34:35,090 --> 00:34:38,430 +الشيء الـ R شرطة مش أني أحفظها أن هي Coordinates + +345 +00:34:38,430 --> 00:34:42,070 +of the Source، و السلام، لأ أنا بدي أجيبها لما أقول + +346 +00:34:42,070 --> 00:34:44,950 +Coordinates of the Source، يعني بدي أجيبها حسب الـ + +347 +00:34:44,950 --> 00:34:47,740 +Coordinates اللي أخدتها، إنه زي ما عملنا Cartesian + +348 +00:34:47,740 --> 00:34:49,720 +Coordinates أو Circle Coordinates أو Cylindrical + +349 +00:34:49,720 --> 00:34:52,900 +Coordinates، إنه أنا عندي أكثر من شحنة، معناته لهذه + +350 +00:34:52,900 --> 00:34:56,720 +جديدة R شرطة، لهذه جديدة R شرطة، لهذه جديدة R شرطة، و R + +351 +00:34:56,720 --> 00:35:01,480 +شرطة هي إحداثيات الشحنة، لما يكون في عندي Charge + +352 +00:35:01,480 --> 00:35:05,020 +Distribution زي كرة أو أي كان، معناته أنا بأخذ + +353 +00:35:05,020 --> 00:35:10,500 +عنصر وبشوف عنصر من وضعه، بس، وبالتالي، لما تبقى + +354 +00:35:10,500 --> 00:35:14,720 +كله بدي .. بدي شغلات يعني P1 بدي إياها، P2 بدي + +355 +00:35:14,720 --> 00:35:17,880 +إياها، P0 بدي إياها، كفَّة، كاملة، إذا في تكامل صعب + +356 +00:35:17,880 --> 00:35:21,020 +أعطيني إياها و .. والـ formula كمان شوية بدي + +357 +00:35:21,020 --> 00:35:25,320 +أعطيكم إياها، ما بضل شيء في هذه القضية، هي مجرد كيف + +358 +00:35:25,320 --> 00:35:29,700 +نجيب، مهارة أن نجيب R شرطة و R ونتعامل معاها و + +359 +00:35:29,700 --> 00:35:34,380 +نشوف، نعمل test على الـ V for a point far away from + +360 +00:35:34,380 --> 00:35:38,430 +the charge distribution، بسهولة هذا اللي حامله Chapter 3 + +361 +00:35:38,430 --> 00:35:47,350 +Chapter 4 اللي بيختلف عن Chapter 3 و Chapter 2 إنه + +362 +00:35:47,350 --> 00:35:51,510 +أنا الـ dielectric كيف أتعامل معاه، فقلت الـ + +363 +00:35:51,510 --> 00:35:56,390 +dielectric أو اللي هو الـ polarized material يستبدل + +364 +00:35:56,390 --> 00:36:00,210 +بنوعين من الـ polarization charges اللي سميتها + +365 +00:36:00,210 --> 00:36:05,930 +bounded charges، سيجما P و رو بي، رو بي بيساوي سالب دي + +366 +00:36:05,930 --> 00:36:10,130 +ضد الـ P، والـ P هي الـ capital P، الـ polarization + +367 +00:36:10,130 --> 00:36:14,890 +تمام، هذه الـ capital P polarization، أما بعطيني إياها أو + +368 +00:36:14,890 --> 00:36:20,470 +بقدر أجيبها من الـ E بسهولة، تمام، والـ sigma هي P ضد + +369 +00:36:20,470 --> 00:36:26,750 +الـ N، وهنا بيجي الـ trick والمهارة إن كيف أجيب الـ N + +370 +00:36:26,750 --> 00:36:30,950 +بقول لك سيجما بتكون على أسطح معينة، وبالتالي الـ + +371 +00:36:30,950 --> 00:36:34,350 +N هي normal to this surface حسب الـ coordinates + +372 +00:36:34,350 --> 00:36:38,870 +التعامل معها، إذا كانت كرة الـ N هي R، إذا كانت + +373 +00:36:38,870 --> 00:36:43,390 +أسطوانة ممكن تكون Z وممكن تكون رو، إذا كانت عندك + +374 +00:36:43,390 --> 00:36:47,710 +اللي بتتعامل مع capacitor this direction معناته K + +375 +00:36:47,710 --> 00:36:52,090 +وسالب K، إذاً .. وتصير تعمل أنت إيه؟ Dot product + +376 +00:36:52,090 --> 00:36:58,190 +عادي، ته .. بعد هيك أنت بتعيد كتير من المسائل تبع + +377 +00:36:58,190 --> 00:37:01,450 +الـ Chapter 3 أو تبع الـ Chapter 2، يعني لما يجيب لي + +378 +00:37:01,450 --> 00:37:04,890 +والله عندي sphere dielectric موجودة في مجال + +379 +00:37:04,890 --> 00:37:09,330 +الكهربائي زي السؤال، توجه لنا توجهنا، متى السفير + +380 +00:37:09,330 --> 00:37:13,050 +محطوط في مجال كهربائي، طب dielectric أنت عايش + +381 +00:37:13,050 --> 00:37:17,050 +اللي أفرج معك جوه المجال مش صفر، تمام؟ وبالتالي + +382 +00:37:17,050 --> 00:37:21,790 +تبدأ تتعامل معه بنفس الهيئة اللي كانت فيها، بدل إيش + +383 +00:37:21,790 --> 00:37:26,010 +الـ boundary condition اللي اتغيرت، بدل E1N - E2N + +384 +00:37:26,010 --> 00:37:32,630 +بتساوي سيجما، صارت D1N - D2N بتساوي سيجما free، هجيب + +385 +00:37:32,630 --> 00:37:37,650 +الـ sigma free، أعطاك إياها، حطها، ومعطاك إياها صفر، وباقي الـ + +386 +00:37:37,650 --> 00:37:43,150 +boundary condition V1 بيساوي V2 اتغيرت؟ ما تغيرتش، بس + +387 +00:37:43,150 --> 00:37:46,910 +الـ V انتبه هنا، partial E على partial R مش partial + +388 +00:37:46,910 --> 00:37:50,910 +D على partial R، partial E على partial R وبتبدأ تحل + +389 +00:37:50,910 --> 00:37:56,510 +Gauss's law اتغير ولا ما اتغيرش؟ اتغير، بدل ما هو E + +390 +00:37:56,510 --> 00:38:02,550 +Dot DS صار D Dot DS وبيساوِ Q Free Included، Q3 + +391 +00:38:02, + +445 +00:42:07,580 --> 00:42:13,580 +أنتوا أحسن مننا، حسدكم إياي. رمضان وجماله، ونسمع أنا + +446 +00:42:13,580 --> 00:42:19,740 +ما أشوفكيش إلا صوتك.. أنا بذكر يعني في الـ 84 أو في + +447 +00:42:19,740 --> 00:42:23,540 +الـ.. في الـ 84 لما أنا وقفت قدام جمهور عشان أدي + +448 +00:42:23,540 --> 00:42:27,600 +محاضرة، وهي صحابنا و.. وأنا كم دكتورة قدامنا + +449 +00:42:27,600 --> 00:42:31,160 +يعني مش.. مش هالورطة، لكن في النهاية واقف وأنتَ + +450 +00:42:31,160 --> 00:42:35,660 +بتشرح فـ.. فرعب لأنه في الآخر أنت قاعد بتدور على + +451 +00:42:35,660 --> 00:42:39,120 +معلومات، وقد ما تكون عندك ثقة بتخاف جدًّا.. إحنا + +452 +00:42:39,120 --> 00:42:44,380 +نشرح للناس أكبر مننا، هو الـ issues بهمّش، لأ لأ، مش + +453 +00:42:44,380 --> 00:42:46,640 +لولا إيش، أنا مش واحد ما أجول الشيك، يعني دائمًا أنا + +454 +00:42:46,640 --> 00:42:49,800 +بقول كالتالي، إنك أنت الدرس اللي أنت حضرتيه، غالبًا + +455 +00:42:49,800 --> 00:42:55,960 +أنت بتكوني ملمّ أكثر من الجمهور، إلا إذا في واحد + +456 +00:42:55,960 --> 00:42:58,600 +من الجمهور related على طول، يعني أنا مثلًا حاجة + +457 +00:42:58,600 --> 00:43:02,580 +الصوت سبق وإني بحثت عنه، وعندي شغلة معينة، لكن + +458 +00:43:02,580 --> 00:43:07,680 +ما فيش مجال واحد يناقش، لأنه.. وجدّيًا، موضوعكم + +459 +00:43:07,680 --> 00:43:11,000 +الواحد ما عنده معلومات مفصلة، وبالتالي كنتوا تعلمون + +460 +00:43:11,000 --> 00:43:15,250 +منّي في هذا الموضوع بتفاصيله، وبالتالي لأ لما يرفض + +461 +00:43:15,250 --> 00:43:17,450 +واحد يكون عنده ثقة أنه بحث diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/983bvNDPD38_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/983bvNDPD38_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..ba2e7a41c232a26e5748ab602aa098c0102c76a9 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/983bvNDPD38_postprocess.srt @@ -0,0 +1,1844 @@ +1 +00:00:21,390 --> 00:00:26,950 +خلّينا نبدأ، إذا في أسئلة بعينها، أسئلة حساسة + +2 +00:00:26,950 --> 00:00:33,230 +ومركزية، هي اللي هنقشها، عشان نستغل الساعة بصورة + +3 +00:00:33,230 --> 00:00:36,970 +مثالية الـ Note تلت سابعة يا نسمة، و لو جفت و + +4 +00:00:36,970 --> 00:00:43,310 +خلّصت و نمتي، غيرها، مين عندها أسئلة فشبطة تلاتة؟ + +5 +00:00:58,160 --> 00:01:03,180 +تاخدي علامة محرزة لكن مش كل إشي ليش؟ لإن كيف + +6 +00:01:03,180 --> 00:01:07,040 +اتجابي الثوابت في تكنيك رياضي مطلوب منك تعرفيه + +7 +00:01:07,040 --> 00:01:13,040 +يعني إذا بتعودي و بتعملي و بتخليلي شوية كل واحد + +8 +00:01:13,040 --> 00:01:14,480 +على حسب مجهودك + +9 +00:01:17,520 --> 00:01:23,900 +لأ لأ هذه .. هذه ما هي تقنيك بدنية لكن ما هواش كل + +10 +00:01:23,900 --> 00:01:28,760 +شيء + +11 +00:01:28,760 --> 00:01:43,760 +أخش + +12 +00:01:43,760 --> 00:01:46,660 +أنا على الأسئلة + +13 +00:02:00,160 --> 00:02:07,610 +الصفحة بتنجليني يعني هاي تلاتةزي ما أنا حكيت + +14 +00:02:07,610 --> 00:02:12,010 +خلّيني أعيد بالنسبة لل .. ال image methods ال + +15 +00:02:12,010 --> 00:02:14,950 +image methods يعني فيما لو أنا بدي أجيب image + +16 +00:02:14,950 --> 00:02:19,790 +methods بدي أكون يعني في hint و انتحط ال image حتى + +17 +00:02:19,790 --> 00:02:23,630 +عشان نختصر عليكم الكلام وبالتالي دائما أسئلة ال + +18 +00:02:23,630 --> 00:02:27,970 +image أسئلة محدودة ومافيش فيها فرصة كتير غالبا + +19 +00:02:27,970 --> 00:02:32,310 +وبالتالي بتصير أسئلة مش ذات قيمة يعني كيف يعني .. + +20 +00:02:32,970 --> 00:02:35,790 +هاجمك تحط ال image يعني لازم أقولك .. أقولك وين + +21 +00:02:35,790 --> 00:02:41,250 +تحطيها في .. على الأقل يعني بقولكش في أي منطقة بس + +22 +00:02:41,250 --> 00:02:45,590 +بقولك وين تحطيها بسهل عليك كتير أمور عشان هل في + +23 +00:02:45,590 --> 00:02:49,630 +عندك one image مثل image ولا three image فغالبا + +24 +00:02:49,630 --> 00:02:50,390 +أسفة ال image + +25 +00:03:00,190 --> 00:03:04,990 +أي تلاتة سابعة اللي بتحكي عنها نتجوزها خليني اشفي + +26 +00:03:04,990 --> 00:03:10,370 +عنكم مثلا في + +27 +00:03:10,370 --> 00:03:20,050 +هذه الأسئلة while + +28 +00:03:20,050 --> 00:03:26,430 +speaker coordinates خليني + +29 +00:03:26,430 --> 00:03:29,230 +انا اديكم هذه السؤال اللي سألو الشباب مزاركم + +30 +00:03:32,220 --> 00:03:38,460 +سؤال سبعة و تلاتين اظنى؟ طيب اه احكي مانا قاعد + +31 +00:03:38,460 --> 00:03:42,140 +بالسن لحد يحكيسؤال عشرين + +32 +00:04:10,630 --> 00:04:14,930 +محطوطة في uniform electric field زي المثال، ايش + +33 +00:04:14,930 --> 00:04:18,970 +أفراد بتقول اللي بتشارج ال .. ال .. ال .. ال .. ال + +34 +00:04:18,970 --> 00:04:19,170 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +35 +00:04:19,170 --> 00:04:19,930 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +36 +00:04:19,930 --> 00:04:20,710 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +37 +00:04:20,710 --> 00:04:21,730 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +38 +00:04:21,730 --> 00:04:21,810 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. + +39 +00:04:21,810 --> 00:04:28,550 +ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال + +40 +00:04:28,550 --> 00:04:31,870 +.. ال .. ال .. ال .. ال .. ال .. ال .. ال + +41 +00:04:35,230 --> 00:04:40,310 +Find the potential outside طبعا لا يمكنني أن أقول + +42 +00:04:40,310 --> 00:04:48,090 +inside لأنه conductor مظبوط ولا لأ فال V بتساوي ال + +43 +00:04:48,090 --> 00:04:59,090 +summation AL R أُس L plus BL على R أُس L plus 1Pin + +44 +00:04:59,090 --> 00:05:04,710 +هاي الحل العام اللي احنا بنعطيكميا مطلوب كيف اجيب + +45 +00:05:04,710 --> 00:05:08,950 +الAs و الBs صحيح ولا لأ؟ اذا نبدى ال boundary + +46 +00:05:08,950 --> 00:05:13,790 +conditions صحيح؟ تمام زي ما اتفقنا ال boundary + +47 +00:05:13,790 --> 00:05:17,090 +conditions في منها universal يعني standard منهجة + +48 +00:05:17,090 --> 00:05:21,390 +أو بالسؤال بشكل عام موجودة وفي بعض منها بتجيبها + +49 +00:05:21,390 --> 00:05:27,470 +انت من نقطية السؤال صحيح ولا لأ؟ يعني مثلاهدي out + +50 +00:05:27,470 --> 00:05:33,350 +لما R goes to من النهاية هل V equal to zero؟ لأ + +51 +00:05:33,350 --> 00:05:39,570 +إذا المعناته E بيساوي E naught بتجاه Z إذا من هنا + +52 +00:05:39,570 --> 00:05:44,450 +بقدر أقول إن V بيساوي E naught في Z زي الثابت + +53 +00:05:44,450 --> 00:05:51,270 +بالنقص طيب + +54 +00:05:51,270 --> 00:05:57,400 +هال gate هي أول boundary of conditionالـ Boundary + +55 +00:05:57,400 --> 00:06:03,280 +Condition التاني الـ R بتساوي capital R و V بتساوي + +56 +00:06:03,280 --> 00:06:07,320 +constant بظبط + +57 +00:06:07,320 --> 00:06:12,200 +هيك ولا لأ؟ لأنه كنت دكتور، إذا هدف ثابت هل + +58 +00:06:12,200 --> 00:06:16,040 +universal ولا حسب طبيعة السؤال؟ حسب طبيعة السؤال + +59 +00:06:16,040 --> 00:06:19,580 +الدكتور أحيانا مش عارفة إن المرات تنقض من بي إن + +60 +00:06:19,580 --> 00:06:28,300 +تساوي بي أو براو عليكي هو هدفما هو هذا هو + +61 +00:06:28,300 --> 00:06:33,100 +انا هاجده اللي بجيب برا ولا جوه انا بجيب برا صح + +62 +00:06:33,100 --> 00:06:37,200 +هاجد هذا اللي برا مفروض يساوي اللي جوه عند السطح + +63 +00:06:37,200 --> 00:06:42,440 +ولا لأ لاتجدش عند السطح موجود قيمته فاقت يعني هو + +64 +00:06:42,440 --> 00:06:47,320 +أصلا ال R بيساوي R ال universal V in بيساوي V out + +65 +00:06:47,320 --> 00:06:50,560 +صح عشان ال conductor هذا عشان ال conductor هذا إيش + +66 +00:06:50,560 --> 00:06:56,370 +بيساوي إذا هذا هو V inأما إذا ماكنتش مظفر حيث .. + +67 +00:06:56,370 --> 00:07:02,850 +تقول V in بتسوي V out بس أه اتفاجرها هيك؟ تمام + +68 +00:07:02,850 --> 00:07:07,210 +الشغل التاني الآن بيقوللي أنا عندي شحنة two إذا + +69 +00:07:07,210 --> 00:07:14,030 +المفروض أنه partial V out على partial R اللي هي in + +70 +00:07:14,030 --> 00:07:19,170 +minus partial V in على partial R بيسوي سلب سجنه + +71 +00:07:19,170 --> 00:07:23,690 +على epsilon notهذه ليش أنا جيبتها؟ لأنه بيقوللي + +72 +00:07:23,690 --> 00:07:27,310 +فيه على السطح شحنة ولا لا؟ أعطاني شحنة على السطح، + +73 +00:07:27,310 --> 00:07:31,590 +الـQ، اللي هي بيبقى منها باجيب سيجما، لأنه سيجما + +74 +00:07:31,590 --> 00:07:41,790 +بيساوي Q على أربعة بيأر تربية، أحكي، إذا بده سيجما + +75 +00:07:41,790 --> 00:07:51,070 +برضه منه بيجيبه، هذا بيطلع سفر؟ مش صحيح، + +76 +00:07:53,360 --> 00:07:56,960 +مستحيل، مستحيل، يكون فيه خلل لأن هادي سيجما is not + +77 +00:07:56,960 --> 00:08:01,860 +واكترش هادي لما كانت ال conductor بدون ال Q فاهم، + +78 +00:08:01,860 --> 00:08:05,200 +مش هيك الحاجات اللي احنا عندنا الفيقة، لأن VIN دي + +79 +00:08:05,200 --> 00:08:10,020 +صوص في البرتجال، VIN عبارة عن .. هادي Zero، ضلت + +80 +00:08:10,020 --> 00:08:14,420 +عندك هادي الفيقة، وفيها نفسها اللي بيقول عنها .. + +81 +00:08:14,420 --> 00:08:19,100 +مش عاوزة عنها تلفيك اللي عندنا اه، بس هتلاقي فيه + +82 +00:08:19,100 --> 00:08:23,500 +اختلاف في ال constantsفي الـ constant هيختلف من زي + +83 +00:08:23,500 --> 00:08:29,500 +أول تمام؟ بنبدأ .. بنشغل على هذا الأساس طبعا هذه + +84 +00:08:29,500 --> 00:08:32,860 +بتخليكي + +85 +00:08:32,860 --> 00:08:39,180 +تقولي إيش انه اتقال جزء ماله نهاية بتصير E note + +86 +00:08:39,180 --> 00:08:47,140 +بالثالث في R cosine فيتا زائد constant بتساوي + +87 +00:08:52,780 --> 00:08:59,680 +ALRLPL بظبوتك ولا لا؟ عشان أطلع AL بدي أضرب في BL + +88 +00:08:59,680 --> 00:09:05,240 +شرطة و أكامل من نقص واحد لواحد صحيح ولا لا؟ إيش + +89 +00:09:05,240 --> 00:09:11,120 +بيصير في عندي هان؟ هان هذه B1 وهذه مضروبة في B0 + +90 +00:09:11,120 --> 00:09:21,220 +تمام؟ لو إيدينا اشتغلنا تمام؟ هيطلع عندكA0 بتساوي + +91 +00:09:21,220 --> 00:09:24,600 +K و + +92 +00:09:24,600 --> 00:09:33,040 +A1 بتساوي ناقص E0 و + +93 +00:09:33,040 --> 00:09:39,980 +إيش بعد كده بيقولي AL بتساوي 0 for الأكبر رقم واحد + +94 +00:09:43,770 --> 00:09:57,030 +تمام هذه حلوة معناته ال V أصبحت A0 زائد A1R Cos + +95 +00:09:57,030 --> 00:10:04,350 +فتة plus بل على R أس L Pl of Cos فتة + +96 +00:10:07,120 --> 00:10:11,980 +خلصت ال a's أنا كلهم zeros إلا a0 و a1 طبعا لو + +97 +00:10:11,980 --> 00:10:14,960 +حطيت a0 و a1 ما a0 و a1 عندهم ماقلهم في دوابتهم + +98 +00:10:14,960 --> 00:10:20,650 +خلصت منهم انا ايش اللي ضايق عليك؟ كل ال b'sكل ال + +99 +00:10:20,650 --> 00:10:26,610 +بيس يسمع بدياهو تمام انت عندك الان ال R بتساوي + +100 +00:10:26,610 --> 00:10:32,650 +capital R V بتساوي constant كلها + +101 +00:10:32,650 --> 00:10:38,150 +ال بيس كلها ال بيس احنا ايه .. الغالي اي بيها دي؟ + +102 +00:10:38,150 --> 00:10:43,510 +لأ بيجيبهم كلهم فبتبدأ من هنا و بتبدأ تشتغلي و + +103 +00:10:43,510 --> 00:10:48,770 +بعدين بتجيبي هذه بتطلع كل ثوابتك هيك بتطلع كل + +104 +00:10:48,770 --> 00:10:49,370 +ثوابتك + +105 +00:10:53,260 --> 00:10:57,080 +تمام يا زينب؟ إذا كتبنا الـBoundary Condition زي + +106 +00:10:57,080 --> 00:11:02,760 +ما حكت هدى، لحد كبير، بنقول إن الطالب حط حاله على + +107 +00:11:02,760 --> 00:11:07,480 +ثقة صحة، هجيت مندخش في الطريق، فيه مطابعة كثيرة، + +108 +00:11:07,480 --> 00:11:12,800 +جدر يتجوزهم ويصل للهدف، هاي الهدف تمامبنشر في + +109 +00:11:12,800 --> 00:11:18,720 +الطريق بصنع الهدف لكن في الآخر مش فيها السكة لكن + +110 +00:11:18,720 --> 00:11:24,000 +ال boundary condition هي انك بتشوف انك طالب حط حلو + +111 +00:11:24,000 --> 00:11:27,460 +على السكة الصح ولا لأ و بالتالي و بت launch كمان + +112 +00:11:27,460 --> 00:11:31,400 +العقبات او المطبات اللي بنحكي عنها هي التلكات + +113 +00:11:31,400 --> 00:11:34,860 +الرياضية اللي احنا بنستخدمها عشان نجيب كل ثوبتنا + +114 +00:11:34,860 --> 00:11:42,310 +تمام يا زينب؟ بتكمل، بده شوية شغل رياضية ديطبعا + +115 +00:11:42,310 --> 00:11:46,470 +طبعا هي هي نفس الشيء ناس في الإجراء بنتعامل معاهم + +116 +00:11:46,470 --> 00:11:54,610 +هذا السؤال العشرين انا السؤال احكي اربعة و تلاتين + +117 +00:11:54,610 --> 00:11:57,970 +ماشي ياما بتجربيني على ال .. + +118 +00:12:13,710 --> 00:12:19,590 +سؤال 34 يعني هو سؤال ممزوج هو سؤال image في الآخر + +119 +00:12:19,590 --> 00:12:24,770 +بيقول لي a point in charge Q of mass M is released + +120 +00:12:24,770 --> 00:12:30,050 +from rest a distance D from an infinitely grounded + +121 +00:12:30,050 --> 00:12:35,130 +conducting plane تمام؟ أنا عندي .. ها .. و دي + +122 +00:12:35,130 --> 00:12:43,350 +بتينا تمام؟ أنا بهمني أن Fبتساوي MA وهذه بتساوي MD + +123 +00:12:43,350 --> 00:12:47,870 +تربيع X على DT تربيع هذه سؤال كلاسيك بس نشوف إيش + +124 +00:12:47,870 --> 00:12:50,570 +الكهربا اللي فيه سؤال كلاسيك مانت بتاخده كلاسيك + +125 +00:12:50,570 --> 00:12:53,970 +قاعدين قاعدين كده بتتعاملوا معاه بيقولي how long؟ + +126 +00:12:53,970 --> 00:12:59,470 +بتدرس زمان will it take for the charge to hit the + +127 +00:12:59,470 --> 00:13:05,990 +plate؟ على اعتبار أن هذه المسافة Dصح ولا لأ؟ إذا + +128 +00:13:05,990 --> 00:13:10,510 +كدرت تجيب وقف، خلص السؤال، صار سؤالي classic، إن + +129 +00:13:10,510 --> 00:13:15,720 +كنت كنت بت candle مرتينو بتجيبوا ال X معطية و + +130 +00:13:15,720 --> 00:13:20,420 +بتجيبوا تقدروا تجيبوا ال T صح ولا لأ لإنه لما تيجي + +131 +00:13:20,420 --> 00:13:25,980 +تكمله بتقولوا والله هذه F بيسوي MA F أي إن كانت + +132 +00:13:25,980 --> 00:13:32,660 +على M بيسوي D تربيع X على DT تربيع اذا DX على DT + +133 +00:13:32,660 --> 00:13:37,600 +بيسوي F على M في ال T زائد constant و بتكمله كمان + +134 +00:13:37,600 --> 00:13:43,030 +مرة و بتجيبوا ال T من هذه المعادلةالمهم كيف أجيب + +135 +00:13:43,030 --> 00:13:49,390 +ال force؟ هنا الكهربا ال force هذه سؤال عبارة عن + +136 +00:13:49,390 --> 00:13:53,510 +immediate charge immediate charge حلته هذه + +137 +00:13:53,510 --> 00:14:00,530 +grounded metal صح؟ إذا معناته .. هذه استبدلتها بال + +138 +00:14:00,530 --> 00:14:09,370 +charge زي هيك إذا أف يا بناتصار عبارة عن كيو كيو + +139 +00:14:09,370 --> 00:14:12,910 +واحد كيو اتنين على ارض تربية عبارة عن two pointed + +140 +00:14:12,910 --> 00:14:18,090 +charges مظبوط ولا لا؟ two pointed charges كيو واحد + +141 +00:14:18,090 --> 00:14:23,450 +هي كيو كيو اتنين برضه كيو بالسالب صح؟ إذا صارت كيو + +142 +00:14:23,450 --> 00:14:30,260 +square هذه صارت اتنين دي لكل تربية خلصناخلاص، + +143 +00:14:30,260 --> 00:14:35,840 +انتهيت. إذا هذا سؤال فقط عشان يقولك الـimaged + +144 +00:14:35,840 --> 00:14:41,000 +charge يستبدل بـpointed charge الأصلية زائد image + +145 +00:14:41,000 --> 00:14:45,520 +وبصير تعامليها وكأنه مافيش شيء plain صار عندك two + +146 +00:14:45,520 --> 00:14:48,620 +pointed charges جيب ال force واشتغلي على سؤال ال + +147 +00:14:48,620 --> 00:14:56,860 +classic اعتبريه وحليه غيرها + +148 +00:15:00,090 --> 00:15:08,310 +أنا سؤال الشباب بيسألونيه 37 تمام 37 لو تتطلعوا + +149 +00:15:08,310 --> 00:15:14,010 +عليه يشوفوا نشتغل في ال boundary condition سؤال 37 + +150 +00:15:14,010 --> 00:15:17,770 +بيقول التالي خلّيني نكتب ال boundary condition + +151 +00:15:17,770 --> 00:15:21,890 +تفصيلا ممكن أخدنا نص المحاضرة و أحنا عليه عندي + +152 +00:15:21,890 --> 00:15:29,070 +الشباب بيقول + +153 +00:15:29,070 --> 00:15:34,250 +ليهل انت سألتيني و ايام عليه برضه؟ اه اظنني تمام + +154 +00:15:34,250 --> 00:15:38,450 +بيقول + +155 +00:15:38,450 --> 00:15:43,550 +السؤال a conducting sphere إذا الـ sphere كونه + +156 +00:15:43,550 --> 00:15:47,590 +conductor معطى الجهود جوا constant يساوي الجهود + +157 +00:15:47,590 --> 00:15:56,510 +على السطح هاي conducting sphere conductor نسخته + +158 +00:15:56,510 --> 00:16:04,240 +ايه؟ تمامالـ Potential V0 الجهده ثابت و جالي ثابت + +159 +00:16:04,240 --> 00:16:08,020 +اعتبره V0 لو ما جاليش V0 بدي اقوله ثابت انا بدي + +160 +00:16:08,020 --> 00:16:10,680 +اجيب boundary condition و اقوله ثابت سميه K لكن هو + +161 +00:16:10,680 --> 00:16:14,860 +مريح نجالي V0 يعني هذه معطة زيادة ان هو جالي + +162 +00:16:14,860 --> 00:16:18,760 +conductor خلاص بكفي مافيش جعلي يقول الجهد عليه V0 + +163 +00:16:18,760 --> 00:16:23,480 +خلاص الجهد عليه ثابت بس هو ثابت نسميه V0 لكن انا + +164 +00:16:23,480 --> 00:16:28,120 +كثير زيادة بقول ثابت K،C،B،C بالكمية اذا الجهد + +165 +00:16:28,120 --> 00:16:35,540 +اللي هناأعطاني ياذي note حلو It's surrounded by a + +166 +00:16:35,540 --> 00:16:40,060 +thin concentric spherical shell of radius P يقولون + +167 +00:16:40,060 --> 00:16:45,660 +راح اتحوطوا ب shell هذا ال shell نسقطر بيه + +168 +00:16:49,660 --> 00:16:54,920 +over which someone has glued a surface charge + +169 +00:16:54,920 --> 00:16:59,640 +بيقول لي واحد حطلك شحنات على الشي اللي هدلزرك إيش + +170 +00:16:59,640 --> 00:17:05,320 +الصحنات اللي عليها؟ قال لي Sigma بتسوى K Cos Phi + +171 +00:17:05,320 --> 00:17:15,250 +حلو؟ تمام؟ نشوف إيش بدهFind the potential in + +172 +00:17:15,250 --> 00:17:19,050 +region .. in each region طبعا in each region تنتين + +173 +00:17:19,050 --> 00:17:23,830 +لأن التالتة اتقشت تتهالي و هالي و التالتة constant + +174 +00:17:23,830 --> 00:17:29,910 +V0 مُعطَى مُعطَى فصاحب يقولك أوجد R أقل من A فقال + +175 +00:17:29,910 --> 00:17:35,030 +لك ال R أكبر من B يعني برا خالص و ال R بين A و B + +176 +00:17:35,030 --> 00:17:40,250 +يعني في المنطقة هذههذه الجهزة بي find the induced + +177 +00:17:40,250 --> 00:17:44,890 +charge sigma i on the conductor بيدهان بيقول في + +178 +00:17:44,890 --> 00:17:49,670 +sigma ولا فيش sigma بيديها إذا فيش sigma تمام what + +179 +00:17:49,670 --> 00:17:53,350 +is the total charge of the system of the system + +180 +00:17:53,350 --> 00:17:57,990 +يعني بده تجبعله هذه و هذه ال total charge تجيب q + +181 +00:17:57,990 --> 00:18:01,960 +هناك و q هناك و تتعامل معهاCheck that your answer + +182 +00:18:01,960 --> 00:18:06,820 +is consistent with the behavior of V at large R + +183 +00:18:06,820 --> 00:18:13,020 +طبعا هذه شغلة معروفة سهلة تمام الآن انا عندي + +184 +00:18:13,020 --> 00:18:17,640 +الجهود اللي انا بديكميها اللي هو V بتساوي ال + +185 +00:18:17,640 --> 00:18:26,440 +summation AL R أس L plus BL على R L plus 1 بل هاي + +186 +00:18:26,440 --> 00:18:27,640 +حالة بلات equation + +187 +00:18:30,370 --> 00:18:36,330 +عبارة عن two potentials out and between إذا في + +188 +00:18:36,330 --> 00:18:43,130 +عندي هذا واحد، هاه، هاي واحد وفي كمان اتنين واحد + +189 +00:18:43,130 --> 00:18:48,410 +خلّيه out واتنين between معناته في عندي A وB وR + +190 +00:18:48,410 --> 00:18:56,010 +الأزرق وفي عندي الأحمر اللي بدي اعتبره هك وهكشرطة + +191 +00:18:56,010 --> 00:19:00,350 +شرطة للي جوا صح ولا لأ اذا انا بدي اقول في عندي + +192 +00:19:00,350 --> 00:19:07,230 +how many sets of constants four عندي ال a's ال b's + +193 +00:19:07,230 --> 00:19:11,630 +ال a's prime و ال b's prime اذا عندي اربعة ست من + +194 +00:19:11,630 --> 00:19:15,810 +ال constants بدي اجيبهم تمام نجي لل boundary + +195 +00:19:15,810 --> 00:19:19,810 +condition ال boundary condition بنبدأ واحدة واحدة + +196 +00:19:19,810 --> 00:19:30,200 +هاي واحدةR goes to ملا نهاية V واحد بتساوي Zero V + +197 +00:19:30,200 --> 00:19:40,080 +واحد يعني و لا Out تمام اثنين + +198 +00:19:40,080 --> 00:19:44,620 +أكلي أكلي + +199 +00:19:44,620 --> 00:19:46,740 +R بتساوي B + +200 +00:19:50,900 --> 00:19:59,520 +V1 بيساوي V2 V1 بيساوي V2 V1 + +201 +00:19:59,520 --> 00:20:09,620 +بيساوي V2 V1 بيساوي V2 V1 بيساوي + +202 +00:20:09,620 --> 00:20:12,180 +V2 V1 بيساوي V2 V1 بيساوي V2 V1 بيساوي V2 V1 + +203 +00:20:12,180 --> 00:20:13,980 +بيساوي V2 V1 بيساوي V2 V1 بيساوي V2 V1 بيساوي V2 + +204 +00:20:13,980 --> 00:20:16,000 +V1 بيساوي V2 V1 بيساوي V2 V1 بيساوي V2 V1 بيساوي + +205 +00:20:16,000 --> 00:20:28,430 +V1 بيساوي V2 V1 بيساوي VR بتساوي ايه؟ اي + +206 +00:20:28,430 --> 00:20:37,150 +فيهم V؟ اللي هي 2 V2 مفروض يتساوي V3 و V3 هي ال + +207 +00:20:37,150 --> 00:20:46,090 +constant اللي هي V0 اذا V2 بتساوي V0 صحيح ولا لأ؟ + +208 +00:20:46,090 --> 00:20:53,560 +تماموهذه الـ Sigma مش عطانيها بدي أحط لها ثابت بدي + +209 +00:20:53,560 --> 00:21:01,540 +أحط لها condition four partial V1 على partial R + +210 +00:21:01,540 --> 00:21:07,520 +minus partial B2 على partial R بسوى سلب Sigma على + +211 +00:21:07,520 --> 00:21:13,760 +Y0 طبعا هذه at R equal to B + +212 +00:21:26,030 --> 00:21:31,830 +هال gate at r بتساوي zero هذا ال boundary + +213 +00:21:31,830 --> 00:21:40,550 +condition أكتبه مش محتاجينه لأن المنطقة دي مش معنى + +214 +00:21:40,550 --> 00:21:48,970 +فيها اذا هدا طيب نبدأ نشتغل لما نبدأ نشتغل + +215 +00:21:55,240 --> 00:22:00,440 +كيف بدنا نسوي؟ from the first condition بقدر اقول + +216 +00:22:00,440 --> 00:22:10,040 +ان aL الازرق Zero aL Zero اذا معناته V1 بتسوى ال + +217 +00:22:10,040 --> 00:22:20,540 +summation بL على RL plus one بL و هالجهة V2 بتسوى + +218 +00:22:20,540 --> 00:22:28,170 +ال summation aL خلي هذه الشرطةعلى R أس 3 R أس L + +219 +00:22:28,170 --> 00:22:35,030 +plus B L على R L plus 1 ب L هاي V واحد وهاي V + +220 +00:22:35,030 --> 00:22:41,890 +اتنين اذا من ال first boundary condition سخدمته + +221 +00:22:41,890 --> 00:22:49,030 +خلصته طلعت كل ال is بتاعت ال out Zero تم + +222 +00:22:51,920 --> 00:22:58,460 +خلّينا نذهب على الـ third بسهّل عليني لأنه بدي + +223 +00:22:58,460 --> 00:23:02,660 +أشوف ال V2 أخفف منه دائما الواحد بيخفف من كل واحد + +224 +00:23:02,660 --> 00:23:05,800 +على حدا وبعدين لما يربطهم مع بعض بيربطهم مع بعض + +225 +00:23:05,800 --> 00:23:10,060 +لما يكون خفف منهم فهذا بيربطش التاني مع بعض بتعامل + +226 +00:23:10,060 --> 00:23:13,160 +بس مع التاني هذا و هذا بيربطوا تانين في بعض صح ولا + +227 +00:23:13,160 --> 00:23:17,820 +لأ نجي لهذا بيقول ال R بيسوي V2 بيسوي V0 إذا من + +228 +00:23:17,820 --> 00:23:24,810 +هنا بدي أحط V0 بيسوي ال summationAL A أُس L Plus + +229 +00:23:24,810 --> 00:23:35,310 +BL AL Plus 1 PL إيش + +230 +00:23:35,310 --> 00:23:39,590 +يسوي يا هودا؟ مدركيش تقولي بعرفش بعرفش شراكنا، إيش + +231 +00:23:39,590 --> 00:23:42,930 +بتسوي؟ + +232 +00:23:42,930 --> 00:23:48,310 +آه أضربيأيش .. ها .. بدى تضرب في بي إل شرقة و + +233 +00:23:48,310 --> 00:23:51,070 +تكملي تفاهيم معاجلة هذا كيف بيك تحطيه؟ إيش بيك + +234 +00:23:51,070 --> 00:23:56,830 +تسويه فيه؟ هذا بديك تحطيه لتضربيه في حاجة اسمها + +235 +00:23:56,830 --> 00:23:59,850 +بيس بي واحد و لا بي اتنين و لا بي سفر و لا إيش + +236 +00:23:59,850 --> 00:24:04,950 +بديك إياها بي zero لإن هذا مضروب في واحد إذا هذه + +237 +00:24:04,950 --> 00:24:09,010 +لو كتبتلك بي سفر في مشكلة؟ حاجات لما تضرب في بي إل + +238 +00:24:09,010 --> 00:24:13,550 +و هناك في بي إل هذه هيكون the note partial ال سفر + +239 +00:24:15,040 --> 00:24:19,700 +صح؟ إيش يعني Delta L صفر Delta L صفر؟ يعني فقط لما + +240 +00:24:19,700 --> 00:24:24,160 +قلت صفر عند القيمة و الباقي مافيش قيم صح ولا؟ إذا + +241 +00:24:24,160 --> 00:24:30,100 +معناته منها أنا لما أجي أشتغل أضربها فهطلع معايا + +242 +00:24:30,100 --> 00:24:38,300 +بهذا الضرب المجاني هيطلع عندي A صفر plus B صفر على + +243 +00:24:38,300 --> 00:24:40,560 +A بتساوي V Note + +244 +00:24:44,540 --> 00:24:56,000 +لما L تسوى 0 Add aL a أُس L plus bL على aL plus 1 + +245 +00:24:56,000 --> 00:25:05,960 +بتسوى 0 لما L لا تسوى 0 طبعاً + +246 +00:25:05,960 --> 00:25:13,240 +بتطلع aL بدلات ال bL بتجيب علاقة و هنا من هذه الآن + +247 +00:25:17,030 --> 00:25:22,190 +بدي اشتغل على هادي هلجد؟ + +248 +00:25:22,190 --> 00:25:30,350 +اه على هادي صحيح على هادي هلجد ال R بتساوي B V1 + +249 +00:25:30,350 --> 00:25:35,250 +بتساوي V2 فبدي أسوي هادي في هادي و أطلع تقريب + +250 +00:25:35,250 --> 00:25:39,430 +المعادلة زي هدول ساعتها بتفق كل المعادلات بضل عندى + +251 +00:25:39,430 --> 00:25:43,350 +شغلة بسيطة بجيبها من ها و بشتغل معاها تنسويش ان + +252 +00:25:43,350 --> 00:25:49,860 +هادي سيجما بتساوي KB1ك بي وان لإن ك قصان الفيتا فك + +253 +00:25:49,860 --> 00:25:55,500 +بي وان على + +254 +00:25:55,500 --> 00:26:00,300 +إيش لأ + +255 +00:26:00,300 --> 00:26:04,840 +تبهي انت جاي جاي جعب تجيبه علاقة جداش A صفر يا نور + +256 +00:26:04,840 --> 00:26:07,060 +جداش A صفر + +257 +00:26:13,350 --> 00:26:18,070 +وينها؟ هل ها دي سفر و ها دي سفر؟ لأ انت بتجيبي ال + +258 +00:26:18,070 --> 00:26:22,730 +و بي ال كمان معادي لإلها من ها ديك عاجز من ها دي + +259 +00:26:22,730 --> 00:26:27,090 +هتجيبي كمان مرة تربط ال s مع ال b's و هنا هتضرب ال + +260 +00:26:27,090 --> 00:26:30,210 +a سفر مع ال b سفر ساعتها بتفكي بتبدأ انت عندك + +261 +00:26:30,210 --> 00:26:33,650 +مجهولين و هنا مجهولين طب انا هسوي ال b one مع v2 + +262 +00:26:33,650 --> 00:26:40,090 +قاله v2باتنين هذه اتنين هذه اه اللي هي زي ما هي + +263 +00:26:40,090 --> 00:26:43,390 +لسه انت ماعنفيش حاجة انت ماطلعتش a0 ولا b0 ولا + +264 +00:26:43,390 --> 00:26:47,150 +حاجة انت جبت معادلات يعني انت من هذه المعادلات + +265 +00:26:47,150 --> 00:26:51,950 +ماجدرتش تطلعي لا a0 ولا b0 ولا a1 ولا .. و لا شيء + +266 +00:26:51,950 --> 00:26:57,830 +بجبت بينهم علاقة فبدي كمان boundary condition عشان + +267 +00:26:57,830 --> 00:27:02,290 +يطلع الكمان معادلات تقدر ساعتها تجيب a0 وb0 وa1 + +268 +00:27:02,290 --> 00:27:10,030 +وb1 تمام؟طب ما نسويش هنا معاملة ما هي هي أنا سويت + +269 +00:27:10,030 --> 00:27:14,490 +المعاملة هي هي هي هي بدك .. أصلا أن أنت معاكي + +270 +00:27:14,490 --> 00:27:18,650 +boundary condition كفيكي هادي و بالآخر هادي فبكفي + +271 +00:27:18,650 --> 00:27:25,670 +و أنت بتشتغلي طبعا شوية شوية طويل عشان ال .. ال .. + +272 +00:27:25,670 --> 00:27:30,030 +المطبقات طبعته كتيرة خلينا أسميها لكن في النهاية + +273 +00:27:30,030 --> 00:27:34,470 +أنا كتبت ال boundary condition صح بدي بكمل و مافيش + +274 +00:27:34,470 --> 00:27:35,930 +عندي أي إشكالية غيرها + +275 +00:27:38,950 --> 00:27:46,110 +السؤال 26 إذا نجينا نعود عن الـ quadratic الـ + +276 +00:27:46,110 --> 00:27:50,490 +quadra pole قصدك السؤال + +277 +00:27:50,490 --> 00:27:55,110 +26 و يعني؟ أه ال sphere of radius are centered at + +278 +00:27:55,110 --> 00:28:00,370 +the origin في + +279 +00:28:00,370 --> 00:28:04,050 +ال quadra pole اللي هي هذه هيها + +280 +00:28:07,690 --> 00:28:14,670 +هذه وهذه وهذه هذه هي مش مهوش دي هو دي شوه هذه هي + +281 +00:28:14,670 --> 00:28:24,210 +من عند التكامل وطلعت هذه اللي قد رابوتها هذه + +282 +00:28:24,210 --> 00:28:30,840 +هي طبعا يعني لما R تساوي سفراللي هي الـ monopole + +283 +00:28:30,840 --> 00:28:35,660 +لأن في النهاية مايبقى عندك الصفر وهذا واحد بيكون + +284 +00:28:35,660 --> 00:28:41,260 +مجموع ال charge تمام؟ لما R تسوى واحد R في cosine + +285 +00:28:41,260 --> 00:28:47,880 +فى تهدف باي بول ال quadruple هذه هتسوى two ف ال + +286 +00:28:47,880 --> 00:28:56,880 +two هي P2 وP2 بيبقى نقولها أكبر + +287 +00:28:56,880 --> 00:28:58,820 +المساحة + +288 +00:29:01,620 --> 00:29:08,800 +تمام بهمش سؤال وي ار تحكي + +289 +00:29:08,800 --> 00:29:15,440 +وي ار برو علينا هو هي ترك السؤال اذا ايه طب ايش + +290 +00:29:15,440 --> 00:29:21,360 +بدك تجيبها R شرطة؟ هي ايش السؤال؟ ال theory يعني + +291 +00:29:21,360 --> 00:29:26,960 +من جوا مصممة طيب R شرطة فيزيائيا ايش بتعنيلك؟ + +292 +00:29:28,480 --> 00:29:33,100 +العنصر بيعد ال source هاي السفير وهي ال source + +293 +00:29:33,100 --> 00:29:39,160 +يالا قوليلي ارشارته جديد نفس ال diode نفسها اه هي + +294 +00:29:39,160 --> 00:29:42,840 +ارشارته من الجوا ارشارته بتضالها ارشارته اللي + +295 +00:29:42,840 --> 00:29:47,920 +بتغير معاكي جادي ال in و ال in سفر واحد سفر سفر + +296 +00:29:47,920 --> 00:29:54,180 +واحد واحد اتنين اتنين لكن هذه ارشارته ما هي قطع + +297 +00:29:54,180 --> 00:30:00,360 +نفسهاطبعا التكامل اللي تبعك اللي بديه يشتغل بديه + +298 +00:30:00,360 --> 00:30:05,840 +يشتغل عليه طبعا هذا معطيلك هذا اللي هي P2 هذه P2 + +299 +00:30:05,840 --> 00:30:09,000 +اللي تُعطيلك بتاعة الـ Legendary Pronominals + +300 +00:30:09,000 --> 00:30:20,540 +وبنتعامل معاها غيرها بس + +301 +00:30:20,540 --> 00:30:23,680 +يا سؤال يا دكتور السؤال اسم اللي حاولناه أول اشياء + +302 +00:30:27,230 --> 00:30:30,110 +خلّيني بديش اضايق عليه وجيت بعدين بشوف يعني بنشوف + +303 +00:30:30,110 --> 00:30:33,390 +يعني انا بقى لحالنا بنشوف إيش اللي صار فيه مشكلة + +304 +00:30:33,390 --> 00:30:42,470 +هو لازم ال total Q يكون ال Q اللي أعطانيها غيرها + +305 +00:30:42,470 --> 00:30:49,930 +شفتوا + +306 +00:30:49,930 --> 00:30:57,240 +أثر ال نماذج لسه ما شفتوهاشو ليه نعرف انك دلوقت + +307 +00:30:57,240 --> 00:31:03,060 +معاك؟ انا مش حامل نماذج مع الأسف ال flash بصراحة + +308 +00:31:03,060 --> 00:31:06,020 +راح فجاته اللي مافيه كان اللي انا و في الدار + +309 +00:31:06,020 --> 00:31:13,420 +النسخة الأصلية تبعتي اللي هو كل النماذج + +310 +00:31:13,420 --> 00:31:14,680 +السابقة خلنا نسميها + +311 +00:31:34,440 --> 00:31:42,240 +و أغلبها أسئلة يعني أنا طلعت عليها إلى حد كبير + +312 +00:31:42,240 --> 00:31:44,080 +أسئلة عملت + +313 +00:31:59,010 --> 00:32:01,730 +شبطة أربعة جاهزينيلهم؟ + +314 +00:32:18,650 --> 00:32:21,250 +لأنه أهم حاجة في chapter 3 انكم تعرفوا كيف + +315 +00:32:21,250 --> 00:32:24,990 +تتعاملوا او كيف تحلوا Laplace equation وتحطوا ال + +316 +00:32:24,990 --> 00:32:29,230 +boundary conditions وتكونوا عندكم المهارة تتعاملوا + +317 +00:32:29,230 --> 00:32:32,810 +مع ال mathematics تبعها عشان تطلعوا ال constants + +318 +00:32:32,810 --> 00:32:39,380 +فانه انا اغلب الال formulates الرياضية هاعطيكم + +319 +00:32:39,380 --> 00:32:42,940 +إياها يعني بيضلش عليكم اللي تستخدموا مهارتكم كيف + +320 +00:32:42,940 --> 00:32:46,100 +تطلعوا الثوابت وكيف تجيبوا ال boundary conditions + +321 +00:32:46,100 --> 00:32:50,580 +ال boundary conditions ضرورية تلحظ صح لإنه هيكون + +322 +00:32:50,580 --> 00:32:54,840 +عليها جزء مش بسيط من العلمات و بعد كده ال + +323 +00:32:54,840 --> 00:32:58,560 +mathematics كله حسب جدش بيمشي في ال mathematics صح + +324 +00:32:58,560 --> 00:33:02,940 +يقيم يعني في هذه الحالة + +325 +00:33:09,370 --> 00:33:12,510 +أحنا عندنا تلات مواضيع في شبكة تلاتة مهلومش في + +326 +00:33:12,510 --> 00:33:19,470 +رابع ان نحلها ب last equationالرقم الأساسي في + +327 +00:33:19,470 --> 00:33:23,890 +الشبطة هو الرقم الأساسي في الشبطة انه كيف أحل ال + +328 +00:33:23,890 --> 00:33:28,030 +equation أصلا في كتير من الكتب بيسموه ال boundary + +329 +00:33:28,030 --> 00:33:32,210 +value problems عنوان الشبطة الشبطة يعني لأن هذا + +330 +00:33:32,210 --> 00:33:36,970 +أهم في هذا الشبطة طبعا احنا عشان هو ضامن اكتر من + +331 +00:33:36,970 --> 00:33:41,550 +شغلة فكاتبها special techniques تمام ال method of + +332 +00:33:41,550 --> 00:33:49,500 +images زي ما حكينا هذه طريقةخلّيني أقول هي مشية في + +333 +00:33:49,500 --> 00:33:53,860 +القهرة بقى، أنا غالبا بستفنيها، غالبا بستفنيها، + +334 +00:33:53,860 --> 00:33:57,220 +لكن لو بدي أجيبها، بدي يكون في عنا هنتات كتيرة، + +335 +00:33:57,220 --> 00:34:01,740 +لكن غالبا بستفنيها، ضال عندى ال multiple expansion + +336 +00:34:02,330 --> 00:34:07,170 +الـ Multiple Expansion يعني هي بتعتمد على مهارة + +337 +00:34:07,170 --> 00:34:11,430 +أُخدت سابقًا، يعني مهارة رياضية إن كيف أجيب الـR + +338 +00:34:11,430 --> 00:34:16,710 +والـR شرطة بس وكيف أتعامل .. يعني وكأنه أنا بدي + +339 +00:34:16,710 --> 00:34:19,950 +أعمل test لو بدي أجيب سؤال زي هذا، بدي أشوف الطالب + +340 +00:34:19,950 --> 00:34:23,190 +ما زال بيعرف يجيب الـR والـR شرطة ولا لايعني لو + +341 +00:34:23,190 --> 00:34:25,490 +انا عندى summation اذا كان عندكم Pointed Charges + +342 +00:34:25,490 --> 00:34:28,870 +اتكابلوا بالـC Summation وانكوا تجيبوا R شرطة لكل + +343 +00:34:28,870 --> 00:34:35,090 +شحنة والـR شرطة اللي هي هذه تعتبر جدا مهمة انه + +344 +00:34:35,090 --> 00:34:38,430 +الشيء الـR شرطة مش ان انا احفظها ان هي Coordinates + +345 +00:34:38,430 --> 00:34:42,070 +of the Source و السلام لأ انا بدي اجيبها لما اقول + +346 +00:34:42,070 --> 00:34:44,950 +Coordinates of the Source يعني بدي اجيبها حسب ال + +347 +00:34:44,950 --> 00:34:47,740 +Coordinates اللي أخدتهاأنه زي ما عملنا Cartesian + +348 +00:34:47,740 --> 00:34:49,720 +Coordinates أو Circle Coordinates أو Cyclic + +349 +00:34:49,720 --> 00:34:52,900 +Coordinates أنه أنا عندي أكتر من شحنة، معانطه لهذه + +350 +00:34:52,900 --> 00:34:56,720 +جديش R شرطة لهذه جديش R شرطة لهذه جديش R شرطة، وR + +351 +00:34:56,720 --> 00:35:01,480 +شرطة هي أهدافيات الشحنة، لما يكون في عندي Child + +352 +00:35:01,480 --> 00:35:05,020 +Distribution زي كرة أو أي إن كان، معانطه أنا باخد + +353 +00:35:05,020 --> 00:35:10,500 +عنصر و بشوف عنصر من وديته، بس، وبالتاليوما تبقى + +354 +00:35:10,500 --> 00:35:14,720 +كله بدي .. بدي شغلات يعني P1 بدي إياها P2 بدي + +355 +00:35:14,720 --> 00:35:17,880 +إياها P0 بدي إياها كفأة كامة إذا في تكامل صعب + +356 +00:35:17,880 --> 00:35:21,020 +أعطيني إياها و .. و ال formula كمان شوية بدي + +357 +00:35:21,020 --> 00:35:25,320 +أعطيكم إياها مابضالش شيء في هذه القضية هي مجرد كيف + +358 +00:35:25,320 --> 00:35:29,700 +نجيب مهارة أن نجيب R شرطة و R و نتعامل معاها و + +359 +00:35:29,700 --> 00:35:34,380 +نشوف نعمل test على ال V for a point far away from + +360 +00:35:34,380 --> 00:35:38,430 +the charge distribution بسهذا اللي حامله Chapter 3 + +361 +00:35:38,430 --> 00:35:47,350 +Chapter 4 اللي بختلف عن Chapter 3 و Chapter 2 انه + +362 +00:35:47,350 --> 00:35:51,510 +انا الـ dielectric كيف اتعامل معاه فقولت ال + +363 +00:35:51,510 --> 00:35:56,390 +dielectric او اللي هو ال polarized material يستبدل + +364 +00:35:56,390 --> 00:36:00,210 +بنوعين من ال polarization charges اللي سميتها + +365 +00:36:00,210 --> 00:36:05,930 +bounded charges Sigma Pو رو بي رو بي بيسوي سالب دي + +366 +00:36:05,930 --> 00:36:10,130 +ضد ال P و ال P هي ال capital P ال polarization + +367 +00:36:10,130 --> 00:36:14,890 +تمام هذه ال capital polarization اما بعطينيها او + +368 +00:36:14,890 --> 00:36:20,470 +بقدر اجيبها من ال E بسهولة تمام و ال sigma هي P ضد + +369 +00:36:20,470 --> 00:36:26,750 +ال N و هنا بيجي ل trickوالمهارة ان كيف اجيب ال N + +370 +00:36:26,750 --> 00:36:30,950 +بقول لي سيجما بدأ تكون على أسطح معينة وبالتالي ال + +371 +00:36:30,950 --> 00:36:34,350 +N هي normal to this surface حسب ال coordinates + +372 +00:36:34,350 --> 00:36:38,870 +التعامل معها إذا كانت كرة ال N هي R إذا كانت + +373 +00:36:38,870 --> 00:36:43,390 +سيلندر ممكن تكون Z وممكن تكون رو إذا كانت عندك + +374 +00:36:43,390 --> 00:36:47,710 +اللي بتتعامل مع capacitor this direction معناته K + +375 +00:36:47,710 --> 00:36:52,090 +و سارب Kإذا .. و تصير تعمل انت ايه؟ Dot product + +376 +00:36:52,090 --> 00:36:58,190 +عادي ته .. بعد هيك انت بتعيد كتير من المسائل تبع + +377 +00:36:58,190 --> 00:37:01,450 +ال chapter 3 او تبع ال chapter 2 يعني لما جيبلي + +378 +00:37:01,450 --> 00:37:04,890 +والله عندي sphere dielectric موجودة في مجال + +379 +00:37:04,890 --> 00:37:09,330 +الكهربائي زي السؤال توجه لنا توجهنا متى السفير + +380 +00:37:09,330 --> 00:37:13,050 +محطوط في مجال الكهربائي طب dielectric انت عايش + +381 +00:37:13,050 --> 00:37:17,050 +اللي افرج معاك جوه المجال مش zeroتمام؟ وبالتالي + +382 +00:37:17,050 --> 00:37:21,790 +تبدأ تتعامل معه بنفس الهيئة اللي كانت فيها بدل ايش + +383 +00:37:21,790 --> 00:37:26,010 +ال boundary condition اللي اتغير بدل E1N-E2N + +384 +00:37:26,010 --> 00:37:32,630 +بتساوي سيجما صارت D1N-D2N بتساوي سيجما free هجيت + +385 +00:37:32,630 --> 00:37:37,650 +ال sigma free اعطاك حطها ومعطاك ع Zero وباقي ال + +386 +00:37:37,650 --> 00:37:43,150 +boundary condition V1 بيساوي V2 اتغيرت؟ ماتغيرتشبس + +387 +00:37:43,150 --> 00:37:46,910 +ال V انتبه هنا partial E على partial R مش partial + +388 +00:37:46,910 --> 00:37:50,910 +D على partial R partial E ع partial R و بتبدأ تحل + +389 +00:37:50,910 --> 00:37:56,510 +Gauss's law اتغير ولا ما اتغيرش اتغير بدل ما هو E + +390 +00:37:56,510 --> 00:38:02,550 +Dot DS صار D Dot DS و بيساوي Q Free IncludedQ3 + +391 +00:38:02,550 --> 00:38:07,050 +Includes ساعتها انت بتتعامل معه كبتجيب D وإذا جيبت + +392 +00:38:07,050 --> 00:38:10,750 +D في علاقة تربط D مع E بتجيب E بيداك ال + +393 +00:38:10,750 --> 00:38:13,410 +polarization بجيب ال polarization و اللي بيداك هي + +394 +00:38:13,410 --> 00:38:18,370 +بسويلك هي المهم ان ال dielectric material استبدلت + +395 +00:38:18,370 --> 00:38:22,950 +بنوعين من ال polarization charges اللي هي sigma و + +396 +00:38:22,950 --> 00:38:27,390 +ال raw لل volume ال charge جنسيتيز وبنتعامل معاها + +397 +00:38:27,390 --> 00:38:28,290 +على هذه الأساس + +398 +00:38:31,750 --> 00:38:36,050 +طبعا الاصل انه احنا ال midterm هذا يكون احسن من ال + +399 +00:38:36,050 --> 00:38:46,350 +midterm الماضي صحيح؟ كشرة؟ تمام؟ وتأكل تماما يعني + +400 +00:38:46,350 --> 00:38:52,070 +الاصل ان انتوا يعني خليني اقول من مهارات اللي توي + +401 +00:38:52,070 --> 00:38:55,930 +حكيها أبو حمزة انهتتوقعوا أسئلة المدرس اللي + +402 +00:38:55,930 --> 00:38:58,370 +بتعطيكم كل مدرس له ما هو كل شيخ وليه طريقته زي ما + +403 +00:38:58,370 --> 00:39:03,010 +بيقولوها تمام؟ وبالتالي إذا الطالب جدر يتوقع + +404 +00:39:03,010 --> 00:39:06,650 +الأستاذ اللي قدامه من وين بيديه أسئلة كتير بيسهل + +405 +00:39:06,650 --> 00:39:11,990 +عليه وبتهيألي أنا صرت صفحة مقروقة خليني أقول من + +406 +00:39:11,990 --> 00:39:15,070 +وين ممكن أديه أسئلة وعايش بركز هيك الأصل يعني + +407 +00:39:15,440 --> 00:39:19,880 +بتشوفوا الأسئلة السابقة أو الامتحانات السابقة من + +408 +00:39:19,880 --> 00:39:22,260 +طبيعتي الأسئلة اللي أنا ركزت عليها في الكتاب + +409 +00:39:22,260 --> 00:39:26,240 +واختارتها بقولكم بس هذه الأسئلة المطلوبة منكم وهذه + +410 +00:39:26,240 --> 00:39:31,900 +لحد كبير هي الأسئلة اللي بتهمني بحسب وجه نظري هي + +411 +00:39:31,900 --> 00:39:39,530 +اللي بتناقش لب مواضيع المادةتمام و ممكن المرة + +412 +00:39:39,530 --> 00:39:42,470 +الجاية تكرروا ما أقولها اتنين بيسهل عليكم الدكتور + +413 +00:39:42,470 --> 00:39:44,890 +طاهر الدكتور طاهر بيديه بأثرة أمثلة يعني أسلمني + +414 +00:39:44,890 --> 00:39:50,830 +شوية وبالتالي بريح أكتر مش راضع .. أحيانا بيديه + +415 +00:39:50,830 --> 00:40:00,410 +بأمثلة طبعا + +416 +00:40:00,410 --> 00:40:00,810 +أحلى + +417 +00:40:04,300 --> 00:40:06,700 +أه لأن أنا زمان كنت أشوف الأسئلة كان يقوللي أنا + +418 +00:40:06,700 --> 00:40:11,600 +بديب من الأمثلة و يدوبها لأ + +419 +00:40:11,600 --> 00:40:14,320 +أنا بديبش .. ببعدش كتير يعني أنا بديب الأسئلة اللي + +420 +00:40:14,320 --> 00:40:17,220 +في المتناول يدكم يعني اللي المفروض الطالب حاول + +421 +00:40:17,220 --> 00:40:21,560 +فيها يشوف إن الطالب حاول بمهارة ولا لأ أو حاول + +422 +00:40:21,560 --> 00:40:25,480 +أصلا ولا لأ هذه واحدة و بعدين إذا حاول أه طبعا في + +423 +00:40:25,480 --> 00:40:32,080 +ناس محاولوش أصلا و إذا حاول حاولووقف وبعدين نمنا + +424 +00:40:32,080 --> 00:40:36,480 +وماكملناش ولا لأ سألنا وعملنا ودورنا لما في من أكم + +425 +00:40:36,480 --> 00:40:41,440 +سؤال كف معاني للآخر بدون أي عقبة يعني جيد إن + +426 +00:40:41,440 --> 00:40:44,260 +الواحد في داره بلاش في الامتحان يكون في سؤال كمله + +427 +00:40:44,260 --> 00:40:48,040 +للآخروكملوا الآخر في الدار و على الأقل يعني لأ + +428 +00:40:48,040 --> 00:40:52,800 +ضربك وجد ولا ضربك علامة ولا ضربك مراقب واجف على + +429 +00:40:52,800 --> 00:40:57,100 +رأسك لأ فيلم يعني .. فعشان كده احنا بنقول الصح ان + +430 +00:40:57,100 --> 00:41:03,060 +الواحد يدرس أول بأول في مواد زي هيكو زي ما شوفته و + +431 +00:41:03,060 --> 00:41:06,380 +انتوا جربته في اليوم الدراسي ان الواحد لما بديه + +432 +00:41:06,380 --> 00:41:10,100 +يحضر شغلة و بديه يشرحها بيصير بده يدور على اكتر من + +433 +00:41:10,100 --> 00:41:16,500 +مصدر عشان يغني حاله و يقدر يقف بثقة قدام الجمهور + +434 +00:41:16,500 --> 00:41:20,340 +ان والله هذه المعلومات اللي بحكي عنها حاجز الصوت + +435 +00:41:20,340 --> 00:41:24,790 +ولا الطاقة الهجروجينية ولا انا هي اللي حضرتهمواضيع + +436 +00:41:24,790 --> 00:41:30,430 +جيدة اللي واحد بسمع فيها أحيانا من دون ما يبحث + +437 +00:41:30,430 --> 00:41:35,990 +ومايكونش عارف أسبابها خلّيني أقول فإنك تجف قدام + +438 +00:41:35,990 --> 00:41:41,790 +الجمهور و تعمل درس هذي مهارة ومهارة كبيرة ماهي هو + +439 +00:41:41,790 --> 00:41:45,990 +رعب وكيف الرعب بروح هيه يعني راحت وقعدت صلاة + +440 +00:41:45,990 --> 00:41:51,280 +الميلاد وماكنتشيعني انا بقى ذاكر احنا السنة + +441 +00:41:51,280 --> 00:41:55,600 +الرابعة اول مرة وقفنا قدام الجمهور واتعاملنا لإن + +442 +00:41:55,600 --> 00:41:58,820 +كان في عندنا برضه مساكس مباحث و ندوة وكان مضطرين + +443 +00:41:58,820 --> 00:42:01,840 +ان نعمل باحث و ندوة و نلقيه فكانت رعب يعني احد + +444 +00:42:01,840 --> 00:42:07,580 +يرتعش صوته بتقطع كانت لأ انتوا .. مظبطا لأ لإن + +445 +00:42:07,580 --> 00:42:13,580 +انتوا أحسن مننا حسدكم انا رمضة و جمالة و نسمع انا + +446 +00:42:13,580 --> 00:42:19,740 +ماشوفكيش كان صوتك ..أنا بذكر يعني في ال 84 أو في + +447 +00:42:19,740 --> 00:42:23,540 +ال .. في ال 84 لما أنا وقفت قدام جمهور عشان أدى + +448 +00:42:23,540 --> 00:42:27,600 +محاضرة و هي صحابنا و .. و أنا كام دكتورة قدامنا + +449 +00:42:27,600 --> 00:42:31,160 +يعني مش .. مش هالورطة لكن في النهاية واقف و أنت + +450 +00:42:31,160 --> 00:42:35,660 +بتشرح ف .. فرعب لأنه في الآخر أنت قاعد بتدور على + +451 +00:42:35,660 --> 00:42:39,120 +معلومات و قد ما تكون عندك ثقة بتخاف جد .. احنا + +452 +00:42:39,120 --> 00:42:44,380 +نشرح للناس أكبر مننا هو ال issuesبهمش، لأ لأ، مش + +453 +00:42:44,380 --> 00:42:46,640 +لولا إيش، أنا مش واحد ماجول الشيك، يعني دايما أنا + +454 +00:42:46,640 --> 00:42:49,800 +بقول كالتالت، إنك إنت الدرس اللي إنت حضرتيه، غالبا + +455 +00:42:49,800 --> 00:42:55,960 +إنت بتكوني ملمّا أكتر من الجمهور، إلا إذا في واحد + +456 +00:42:55,960 --> 00:42:58,600 +من الجمهور related على طول، يعني أنا مثلا حاجة + +457 +00:42:58,600 --> 00:43:02,580 +الصوت سبق وإني بحثت عنه، وعندي شغلة معينة، لكن + +458 +00:43:02,580 --> 00:43:07,680 +مافيش مجال واحد يناقش، لأنه .. وجديك، موضوعكم + +459 +00:43:07,680 --> 00:43:11,000 +الواحد مافيش عنده معلومات مفصلة وبتالي كنتوا تعلم + +460 +00:43:11,000 --> 00:43:15,250 +منيه في هذه الموضوع بتفاصيلهفبالتالي لأ لما يرفض + +461 +00:43:15,250 --> 00:43:17,450 +واحد يكون عنده ثقة انه بحث + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4.srt new file mode 100644 index 0000000000000000000000000000000000000000..1cbf4d9cea2c62eb466714e772a0839326661100 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4.srt @@ -0,0 +1,1457 @@ +1 +00:00:21,310 --> 00:00:30,030 +بدنا نحكي عن هذا السؤال، وقلنا سؤال بيقول التالي: ما + +2 +00:00:30,030 --> 00:00:33,710 +تحت هذا الـ plane، كلها مادة الـ dielectric. + +3 +00:00:33,710 --> 00:00:38,490 +dielectric، وهذه الـ force... الـ charge Q محطوطة + +4 +00:00:38,490 --> 00:00:44,670 +هناك، بده القوة اللي بتأثر على هذه الـ charge طبعاً. + +5 +00:00:44,670 --> 00:00:48,410 +للوهلة الأولى، واحد بيقول: إيش قوة؟ قوة من أين تيجي؟ + +6 +00:00:48,410 --> 00:00:53,490 +هذه charge لعَالَها لكن احنا بنعرف أن هذه الـ charges + +7 +00:00:53,490 --> 00:00:57,750 +هتعمل polarization، هتعمل في هذه المادة فيصير فيها + +8 +00:00:57,750 --> 00:01:01,170 +polarization. ما زالت هذه المادة اللي تحت هذه اللي + +9 +00:01:01,170 --> 00:01:05,170 +هي dielectric material، يصير فيها polarization، إذا + +10 +00:01:05,170 --> 00:01:10,090 +انولد مجال كهربائي. لو أنا عرفت المجال اللي في عند + +11 +00:01:10,090 --> 00:01:14,610 +النقطة هنا، هذه المجال، عرفته أنا، بقدر أقول F + +12 +00:01:14,610 --> 00:01:22,190 +بتساوي Q في الـ E. هذه الـ E من وين جاية؟ إيه، مش + +13 +00:01:22,190 --> 00:01:26,170 +تبعَت الـ Q، لأن الواحد ما بيأثرش على حاله. هذه الـ E من وين + +14 +00:01:26,170 --> 00:01:31,550 +جاية؟ جاية من السطح اللي تحت. أو زي هذا المثال + +15 +00:01:31,550 --> 00:01:38,210 +زيه، مش أخوه، زيه أخدناه بالـ Image Methods. + +16 +00:01:38,210 --> 00:01:44,050 +بالـ Image Methods، قلنا شحنة وكان في عندها plane بس + +17 +00:01:44,050 --> 00:01:49,110 +أيامها كنا هذه الـ plane مُكثِّف و grounded. إيش سويت + +18 +00:01:49,110 --> 00:01:54,310 +في الـ image method؟ الـ image method تمام زي ما + +19 +00:01:54,310 --> 00:01:58,130 +اتفقنا في الـ image charge، إيش احنا بنسوي؟ + +20 +00:01:58,130 --> 00:02:04,290 +احنا بنستبدل السطح بـ image charge. نحب أنه أنا + +21 +00:02:04,290 --> 00:02:08,690 +استخدمت الـ image charge وقولت فيه شحنة. نفترض + +22 +00:02:08,690 --> 00:02:13,090 +أن هذه Q شرطة. بدي الـ force اللي على Q، بقول هي الـ + +23 +00:02:13,090 --> 00:02:16,050 +force بين two pointed charges. إذا، if كما + +24 +00:02:16,050 --> 00:02:23,530 +نجيبها K Q Q شرطة على R تربيع، مظبوط ولا لأ؟ هذه + +25 +00:02:23,530 --> 00:02:27,570 +هذه، وهذه، معناته المسافة اللي بينهم 2D، فـ هذه + +26 +00:02:27,570 --> 00:02:34,500 +بتصير 2D تربيع. إذا أنا في عندي طريقتين: إما أجيب + +27 +00:02:34,500 --> 00:02:38,420 +المجال عند النقطة الحمراء وبقول F بتساوي Q + +28 +00:02:38,420 --> 00:02:43,640 +في E، أو أجيب الـ image charge وبقول القوة هي + +29 +00:02:43,640 --> 00:02:49,130 +between two point charges. الـ E، نيجي لأول طريقة، + +30 +00:02:49,130 --> 00:02:51,950 +الاولى، الـ E، هي شيء هادي، قال لي الـ E هادي جاي من + +31 +00:02:51,950 --> 00:02:55,390 +الـ dielectric، من الـ dielectric. طب الـ die + +32 +00:02:55,390 --> 00:02:57,930 +lectric، احنا كُلُّ موضوع الشروط الأربعة، الـ die + +33 +00:02:57,930 --> 00:03:00,610 +lectric، احنا كيف بنتعامل مع الـ dielectric؟ + +34 +00:03:00,610 --> 00:03:03,490 +قالوا الـ dielectric، بنتعامل معه بنستبدله + +35 +00:03:03,490 --> 00:03:10,460 +بنوعين من الشحنات: إما sigma B بتساوي P Dot N، و + +36 +00:03:10,460 --> 00:03:15,680 +رو بي بتساوي سالب دايفرجنس P. وبيصير، انت عشان تجيب + +37 +00:03:15,680 --> 00:03:20,240 +المجال لـ dielectric material، بتجيب المجال وكأنه + +38 +00:03:20,240 --> 00:03:24,480 +ناتج من شحنتين: سيجما و رو، مظبوط هيك ولا لأ؟ تمام. + +39 +00:03:24,480 --> 00:03:31,060 +إذا هذه هي المجال اللي جاي من سيجما ومن رو. طيب، + +40 +00:03:31,060 --> 00:03:34,060 +اعطاك الـ polarization؟ ما اعطانيش الـ polarization. + +41 +00:03:34,060 --> 00:03:38,100 +إذا أنا بدي اجيب الـ polarization عشان اجيب الـ + +42 +00:03:38,100 --> 00:03:42,560 +polarization. الـ polarization بيساوي χ E في + +43 +00:03:42,560 --> 00:03:46,520 +epsilon note في E. خليني أقولها شرطة عشان بس أميزها. + +44 +00:03:48,620 --> 00:03:52,860 +وهذه E هي total electric field inside the + +45 +00:03:52,860 --> 00:03:56,600 +dielectric، يعني المجال الكهربائي اللي تحت الـ plane. على + +46 +00:03:56,600 --> 00:04:00,460 +اعتبار طبعاً، انت بدك إياها. is a Sigma. معناته الـ + +47 +00:04:00,460 --> 00:04:03,500 +polarization عند السطح، عند النقطة هذه، بس النقطة + +48 +00:04:03,500 --> 00:04:08,600 +هذه من تحت عشان تكون في الـ dielectric، حلو. عشان + +49 +00:04:08,600 --> 00:04:13,050 +نجيبها. Since there is no free charges inside the + +50 +00:04:13,050 --> 00:04:21,010 +dielectric، إذا ما عندك إلا sigma P. عشان أجيب sigma P + +51 +00:04:21,010 --> 00:04:24,590 +بإيش بدك؟ بدك الـ polarization، صح ولا لأ؟ خلنا نجيب + +52 +00:04:24,590 --> 00:04:30,230 +الـ polarization، تمام. بقول لي sigma P بتساوي P دوت + +53 +00:04:30,230 --> 00:04:36,550 +N، الـ normal للـ surface. كيف اتجاهه؟ زد. إذا P دوت زد + +54 +00:04:36,550 --> 00:04:42,230 +هي Pz، تمام. والـ P عبارة عن إبسلون نوت χ E + +55 +00:04:42,230 --> 00:04:46,790 +مازالت Pz. معناته انت عايز Ez. الشيء، يا Ez، قال + +56 +00:04:46,790 --> 00:04:49,570 +لي Ez is the z component of the electric + +57 +00:04:49,570 --> 00:04:53,370 +field just below the plane. انت بدك شدة المجال في + +58 +00:04:53,370 --> 00:04:57,770 +المنطقة تحت الـ dielectric، تمام، يعني عند z بتساوي + +59 +00:04:57,770 --> 00:05:01,130 +zero. this electric field، من وين جاي هذا المجال + +60 +00:05:01,130 --> 00:05:04,190 +الكهربائي؟ يقول لنا هذا المجال الكلي، هذا المجال جاي + +61 +00:05:04,190 --> 00:05:07,190 +من مجال إيه؟ جاي من الشحنة الخاصة... اصلا كل بلاوي + +62 +00:05:07,190 --> 00:05:10,470 +من الشحنة الخاصة Q هي اللي عملت الـ polarization. إذا + +63 +00:05:10,470 --> 00:05:13,650 +بدك المجال من Q والمجال اللي جاء من الـ + +64 +00:05:13,650 --> 00:05:17,850 +polarization... نتيجة الـ polarization. إذا، where Ez + +65 +00:05:17,850 --> 00:05:20,310 +is the Z component of the electric field just + +66 +00:05:20,310 --> 00:05:23,290 +below the plane، and this electric field is due to + +67 +00:05:23,290 --> 00:05:28,870 +both Q and the bound charges. يعني E بتساوي E1 زائد + +68 +00:05:28,870 --> 00:05:34,880 +E2. E1 تبع اللي هو طبعاً الشحنة الحمراء، الشحنة + +69 +00:05:34,880 --> 00:05:37,860 +الحمراء، point charge. إيش قانونها؟ قال لي هي + +70 +00:05:37,860 --> 00:05:47,860 +قانونها هذا. + +71 +00:05:47,860 --> 00:05:51,860 +بيصير هيك، مظبوط ولا لأ؟ هذا فبقي + +72 +00:05:51,860 --> 00:05:54,840 +تحتاني، قال لي تحتاني، ما انت بتقول مافيش! لا فيه sigma + +73 +00:05:54,840 --> 00:05:58,860 +مافيش! لا فيه sigma وانت قاعد بتجيب شدة المجال just + +74 +00:06:00,450 --> 00:06:03,890 +خليني أقول adjacent to any plane، والـ adjacent + +75 +00:06:03,890 --> 00:06:09,410 +to any plane، بتساوي sigma على 2 إبسلون + +76 +00:06:09,410 --> 00:06:12,510 +نوت. ذاكرين قانون جاوس أول ما طبقناه لما كان فيه + +77 +00:06:12,510 --> 00:06:17,430 +عندي infinite plane، وكنا نجيب بتاعته بواسطه جاوس + +78 +00:06:17,430 --> 00:06:22,660 +sigma على 2 إبسلون نوت. هي قانونها. طيب هذه سهلة، + +79 +00:06:22,660 --> 00:06:26,440 +هذه بقى بدل هذه، وحفظك مابيه. طب وهذه كيف اجيبها؟ + +80 +00:06:26,440 --> 00:06:36,540 +انت بدك تجيب هذه. بتساوي مين؟ هذه الكلمة مش هي R ناقص R + +81 +00:06:36,540 --> 00:06:44,480 +شرطة. R بعد إيش؟ بعد النقطة. النقطة هذه، شايفاني؟ إذا حطيتها، أنا حاطط عليها P، هي تحت الـ plane + +82 +00:06:44,480 --> 00:06:48,390 +بس. عَلى الـ plane، بس من التحت. R كيف بدي + +83 +00:06:48,390 --> 00:06:52,710 +أكتبها؟ Cylindrical Coordinates. Cylindrical Coordinates + +84 +00:06:52,710 --> 00:06:56,670 +يا هودا، شايفها + +85 +00:06:56,670 --> 00:07:00,930 +النقطة أنت؟ شايفها النقطة؟ أنا بدي R بعد النقطة + +86 +00:07:00,930 --> 00:07:07,190 +مش بعد Q، بدي بعد النقطة هذه. + +87 +00:07:07,190 --> 00:07:12,170 +طيب هذه وين هي النقطة؟ في الفراغ؟ كلامك بيكون لو + +88 +00:07:19,460 --> 00:07:24,000 +كانت في الفراغ. طيب حلو، انت ايش كنت... خليني نروح + +89 +00:07:27,480 --> 00:07:32,400 +حاجة ثانية شغالة جميلة. خلينا نقول R بتساوي zk زي + +90 +00:07:32,400 --> 00:07:38,080 +أدروروهات، صح؟ قد ايش قيمة Z؟ + +91 +00:07:38,080 --> 00:07:42,110 +إذن قد ايش قيمة R؟ رو في رو هات، اللي هو أنا بدي + +92 +00:07:42,110 --> 00:07:46,090 +أحطها اس في اس هات، تمام؟ In general، كلامك صحيح، + +93 +00:07:46,090 --> 00:07:48,750 +لكن أنا عندي A على السطح، فبالتالي الـ Z بتساوي + +94 +00:07:48,750 --> 00:07:55,990 +zero. حلو، إذا هذه عبارة عن اس اس هات، و D و R + +95 +00:07:55,990 --> 00:08:05,270 +شرطة، هي عبارة عن D باتجاه الـ k. صحيحه ولا لا؟ اه انت + +96 +00:08:05,270 --> 00:08:10,390 +جبت الثانية عشان كده بتعتدل، تمام؟ هاي الـ R script + +97 +00:08:10,390 --> 00:08:17,190 +معناته لو اجيت عملتها، هتصير هاي القانون: D تربيع زي + +98 +00:08:17,190 --> 00:08:25,030 +S تربيع زي 3 ع 2، عشان هتكعيب، وهذه SS -DKR. صحيحة ولا + +99 +00:08:25,030 --> 00:08:33,270 +لا؟ تمام. هذه E1، E2، زي ما اتفقنا، نجمع الاثنين. اي نوت + +100 +00:08:33,270 --> 00:08:37,210 +سالب k عشانها down. ان أنا عندي الشحنات هنا بتكون + +101 +00:08:37,210 --> 00:08:45,650 +باتجاه اللي لاسفل. حلو. الآن بدي اقول E واحد زي E + +102 +00:08:45,650 --> 00:08:51,370 +اثنين، اجمع هذول الاثنين، اجمعهم، فصارت E Ez + +103 +00:08:51,370 --> 00:08:59,310 +جمعتهم مع بعض. الان صار في عندي انا، هذه بتساوي + +104 +00:09:00,100 --> 00:09:06,100 +خليني اقول k، لأن الـ P هيها: إبسلون نوت k في E + +105 +00:09:06,100 --> 00:09:10,180 +زيت. ابسلون + +106 +00:09:10,180 --> 00:09:15,820 +نوت، ابسلون نوت k في الـ Ez. وEz جبتها صح ولا + +107 +00:09:15,820 --> 00:09:22,540 +لا؟ فبحطها، فصارت سيجما بتساوي ابسلون نوت k E بدل E + +108 +00:09:22,540 --> 00:09:25,140 +زيت. وحطيتها للقانون. بجدد من المعادلة هتجيب سيجما + +109 +00:09:25,140 --> 00:09:28,280 +بيه. اه هتجيب سيجما بيه. + +110 +00:09:32,300 --> 00:09:36,280 +الآن أنا جبت الـ polarization، منها جبت sigma P. قال + +111 +00:09:36,280 --> 00:09:39,960 +لي هيك، تمام، تمام. انت ايش بدك الآن؟ لسه احنا بندور؟ + +112 +00:09:39,960 --> 00:09:44,500 +بدك هذه انت، صح؟ + +113 +00:09:44,500 --> 00:09:52,820 +هذه، برضه بالرجوع للرسمة، بتكون موجودة: هذه، هذه، وهذه. + +114 +00:09:52,820 --> 00:09:59,010 +الشحنة Q، وهذه المسافة D. بدي شدة المجال عند النقطة + +115 +00:09:59,010 --> 00:10:01,710 +هذه. الآن، شدة المجال من أين جاي؟ من + +116 +00:10:01,710 --> 00:10:05,350 +الـ polarization medium، والـ polarization medium + +117 +00:10:05,350 --> 00:10:09,890 +استبدلناه على إنه فيه شحنات على السطح وبس. صار وكأنه + +118 +00:10:09,890 --> 00:10:12,130 +عندك هنا Sigma وجبت قيمتها ولا ما جيبتش قيمتها؟ + +119 +00:10:12,130 --> 00:10:19,470 +طيب الآن، Sigma اللي طلعناها تعتمد على S، مش + +120 +00:10:19,470 --> 00:10:24,080 +uniform، مش uniform. هتش تستخدم قانون Gauss الآن؟ + +121 +00:10:24,080 --> 00:10:28,320 +بتستخدم القانون الحلو اللي ده، مابسعفني في كل + +122 +00:10:28,320 --> 00:10:33,840 +الاحوال، هذا هو. هتجيب + +123 +00:10:33,840 --> 00:10:40,300 +dQ point of charge؟ هل الشحنة جاية من point ولا من + +124 +00:10:40,300 --> 00:10:45,000 +الـ surface كله؟ من الـ surface. فبالـ dQ، كيف + +125 +00:10:45,000 --> 00:10:45,840 +بيدخلها؟ + +126 +00:10:48,870 --> 00:10:54,610 +dA سيجما في dA، صح؟ لأن هو إما dl أو ρ و d + +127 +00:10:54,610 --> 00:10:57,730 +τ أو sigma dA. احنا الآن اتفقنا، إيش صارت + +128 +00:10:57,730 --> 00:11:02,050 +سيجما؟ هي سيجما بتاعتي. إذا صارت E بتاعتي هتكون + +129 +00:11:02,050 --> 00:11:10,150 +كالتالي: بتساوي اللي هي k تكامل، اتفقنا، dS، وبدل + +130 +00:11:10,150 --> 00:11:14,770 +هذه، هذه، وهذه تكعيب، صح؟ + +131 +00:11:16,960 --> 00:11:20,180 +نعم، ده سؤال حلو، سؤال حلو، مش عشان بديجي انا في + +132 +00:11:20,180 --> 00:11:24,320 +الامتحان، بما يحتوي من خطوات، هيا كم مرة دي، ابن + +133 +00:11:24,320 --> 00:11:28,040 +أقرأ وأقرأ، هات وأقرأ الـ script، وين بدي شدة + +134 +00:11:28,040 --> 00:11:34,720 +المجال عند أي نقطة يا جماعة؟ لأ، مش أي نقطة، كانت + +135 +00:11:34,720 --> 00:11:38,400 +معانا، فوق، شفناها فوق. اي شخص معادلة هذه، أفضل، سوّي + +136 +00:11:38,400 --> 00:11:42,700 +Q في الـ E، لو بدك تجيب الـ force على Q، أي E بدك + +137 +00:11:45,590 --> 00:11:51,070 +أي E في القانون هذا؟ يعني أنا بدي هتكشفها Q، بدي + +138 +00:11:51,070 --> 00:11:54,770 +القوة اللي عليها، وبدي أطبق القانون Q في الـ E. + +139 +00:11:54,770 --> 00:12:04,070 +بنفع أقول Q في الـ E اللي عندي هون؟ الـ E لهون؟ لأنه + +140 +00:12:04,070 --> 00:12:08,550 +هذه، لو هنا مافيش مجال، كم قوة بتكون؟ zero. إذا + +141 +00:12:08,550 --> 00:12:11,940 +بدي المجال عند النقطة هذه. مش هيك بشتغل من الأول. + +142 +00:12:11,940 --> 00:12:15,360 +أنا، ولد، بشتغل بدي المجال عند النقطة هذه. طب ليش + +143 +00:12:15,360 --> 00:12:19,240 +بتدور على R؟ عشان بدي R، وأنا بدي أجيب شدة + +144 +00:12:19,240 --> 00:12:23,860 +المجال جايّة عند النقطة هذه، وانت هتجيب R script + +145 +00:12:23,860 --> 00:12:36,320 +و R script هال gate بتساوي R ناقص R شرطة. قد ايش R؟ + +146 +00:12:36,320 --> 00:12:43,860 +بعد إيش R؟ وينها النقطة الآن؟ هي نفسها عند النقطة... + +147 +00:12:43,860 --> 00:12:48,960 +إذا إيش بتكون قيمتها؟ اللي هي D باتجاه الـ k. + +148 +00:12:48,960 --> 00:12:53,740 +D باتجاه الـ k. هذه مسافة معروفة ولا لأ؟ انت بدك عند + +149 +00:12:53,740 --> 00:12:57,460 +النقطة هذه، مش انت بدك المجال عند النقطة هذه، إذا + +150 +00:12:57,460 --> 00:13:02,840 +هي نقطة، إيش إحداثياتها؟ D باتجاه الـ k. إذا هذه + +151 +00:13:02,840 --> 00:13:10,910 +بتساوي D باتجاه الـ k. ناقص بدي R شرطة؟ R شرطة بعد + +152 +00:13:10,910 --> 00:13:17,690 +إيش اسمها؟ طيب وين شحنة ثانية هنا؟ هي هذه Q، هذه Q + +153 +00:13:17,690 --> 00:13:22,110 +وينها؟ بدي اخذ عنصر d... هي sigma dF. بدي اخذ عنصر + +154 +00:13:22,110 --> 00:13:26,870 +هنا، وين ما تاخد العنصر؟ بالـ Cylindrical Coordinates. + +155 +00:13:26,870 --> 00:13:31,710 +إيش ثابت؟ في كل شيء، إيش بيكون ثابت؟ Cylindrical + +156 +00:13:31,710 --> 00:13:34,330 +Coordinates. S ولا Z ولا φ؟ + +157 +00:13:37,360 --> 00:13:41,800 +نسيته؟ شبّه، واحد رأى، واحد شبّه، دي اس اس هات زي + +158 +00:13:41,800 --> 00:13:47,720 +اس دي φ φ هات، زي دي زد زد هات، ذاكرينه؟ إذا + +159 +00:13:47,720 --> 00:13:51,840 +ما جددت، دي ايه؟ دي ايه؟ دي اس دي اس؟ دي ايه بتساوي + +160 +00:13:51,840 --> 00:13:56,700 +اس، دي اس دي φ، مظبوط ولا لأ؟ طيب، والبعد؟ + +161 +00:13:56,700 --> 00:14:02,000 +ماهو اللي ثابت هو قلنا؟ الـ Z. الـ Z دي ايه ناسيه؟ + +162 +00:14:02,000 --> 00:14:09,060 +طيب، إذا معناته البعض، وين متروحه؟ نرجع... ارجعلك. + +163 +00:14:09,060 --> 00:14:18,160 +انا، انت كتبتي هذا صحيح؟ قد ايش R شرطة؟ لأن هذه مسافة + +164 +00:14:18,160 --> 00:14:25,000 +عشان هذه ثابتة، إذا اس اس هات، إذا R شرطة هي اس + +165 +00:14:25,000 --> 00:14:31,540 +اس هات. بحكي عربي؟ أكيد؟ يعني R شرطة هنا هي عبارة + +166 +00:14:31,540 --> 00:14:37,430 +عن... اه ليش؟ دمعت معكِ المرة هذه كنا بنجيب شدة + +167 +00:14:37,430 --> 00:14:42,070 +المجال عند نقطة هذيك، صحيح؟ المرة هذه شدة المجال + +168 +00:14 + +223 +00:18:39,260 --> 00:18:43,420 +.. كأن السطح مشحون .. يقول الـ D cubed سوى sigma + +224 +00:18:43,420 --> 00:18:45,700 +DS .. إيش DS؟ + +225 +00:18:48,810 --> 00:18:56,070 +عنصر في السطح قُلت هذا عنصر اللي هو SDSD على السطح + +226 +00:18:56,070 --> 00:19:01,510 +مازال على السطح إحداثياته roh لأنّه على السطح Z + +227 +00:19:01,510 --> 00:19:07,830 +جديش؟ Zero صح؟ كلّه صفر؟ تمام؟ عشان هذا القانون + +228 +00:19:07,830 --> 00:19:13,390 +الغالبان في R script غصم العلم بـDR وR شرطة + +229 +00:19:13,390 --> 00:19:17,230 +إحداثي النقطة و شرط إحداثي العنصر اللي اختارته + +230 +00:19:17,230 --> 00:19:23,990 +والعنصر اللي اختارته على السطح ثانيةً + +231 +00:19:23,990 --> 00:19:29,410 +شوية ثانيةً، شوية، شايفة السطح هذا طاولة، اعتبرها قاعدة + +232 +00:19:29,410 --> 00:19:33,090 +أسطوانة، و اين الأسطوانة فوق عشان نقول + +233 +00:19:33,090 --> 00:19:37,830 +الـ cylindrical coordinates أي نقطة على الطاولة وهي + +234 +00:19:37,830 --> 00:19:40,850 +منتصف الطاولة هو ال origin تبعك، أي نقطة على + +235 +00:19:40,850 --> 00:19:44,060 +الطاولة، ما معنى إحداثياتها؟ + +236 +00:19:44,060 --> 00:19:46,800 +بُعدها عن الـorigin ولا لا؟ أي نقطة على الطاولة + +237 +00:19:46,800 --> 00:19:55,560 +إيش بتكون؟ روح بأي اتجاه، روحها أي + +238 +00:19:55,560 --> 00:19:58,540 +عنصر على الطاولة بتكون إحداثياته + +239 +00:20:02,310 --> 00:20:06,170 +بين الـ Q ما هو العنصر؟ صار الـ Q، مشان أخدت عنصر؟ + +240 +00:20:06,170 --> 00:20:09,830 +هذه الـ Q، لما أقول هذه كلها مشهورة، وجوه عنصري، + +241 +00:20:09,830 --> 00:20:12,950 +معناته هي الـ Q و ال origin طبعاً، ليش لما أقول + +242 +00:20:12,950 --> 00:20:17,190 +إحداثيات الـ R شرطة هي إحداثيات الشحنة، يعني بين ال + +243 +00:20:17,190 --> 00:20:23,070 +origin والشحنة، صح ولا لأ؟ + +244 +00:20:23,070 --> 00:20:28,490 +أسئلة طيبة + +245 +00:20:29,290 --> 00:20:33,330 +هذه، انعرفت هال gate، بدي أجيب ال magnitude تبعتها + +246 +00:20:33,330 --> 00:20:38,330 +دي تربيع زائد اس تربيع، صحيح ولا لأ؟ و hand في + +247 +00:20:38,330 --> 00:20:41,830 +المقام، بدي أقول دي باتجاه ال K و S باتجاه ال S، صح + +248 +00:20:41,830 --> 00:20:45,770 +ولا لأ؟ طيب هذا كله الكلام المختصر، بدي أشوف لون + +249 +00:20:45,770 --> 00:20:49,750 +الموصل معايا بعد ما عملت جيب ال sigma وبالتالي + +250 +00:20:49,750 --> 00:20:54,950 +بقول هذه، بعدين بنجعلها الآن، لكي نجد القوة في الـ Q + +251 +00:20:54,950 --> 00:20:58,610 +اللي أنا بحكيه من أول، عشان نجيب ال force، نريد أن + +252 +00:20:58,610 --> 00:21:02,650 +نجد الـ electric field في موقع الـ Q، بدي أشد + +253 +00:21:02,650 --> 00:21:06,950 +المجال عند النقطة هذه اللي هي موضع الـ Q، و أي + +254 +00:21:06,950 --> 00:21:12,670 +قانون استخدمت؟ القانون هذا، دي + +255 +00:21:12,670 --> 00:21:16,530 +Q بيستوي سيجما دي A، طبعاً هنا في هذا خطأ، هذا خطأ + +256 +00:21:16,530 --> 00:21:18,650 +عشان تلاعبكم، مش موجود، هذا قرأ script و هذا قرأ + +257 +00:21:18,650 --> 00:21:22,970 +script، فهذه واحدة منهم خطأ، يعني زيادة، مش خطأ أصلاً + +258 +00:21:22,970 --> 00:21:27,750 +مش موجود، أريح تمام، أنا حطيتها زي ما قلت، حلو الآن + +259 +00:21:27,750 --> 00:21:32,590 +شايفين اللي هي ال R هذه، إيه صارت؟ D في الجهة ال Z + +260 +00:21:32,590 --> 00:21:41,310 +ناقص S في الجهة ال S، R ناقص R شرطة، على هذه الآن، هذه + +261 +00:21:41,310 --> 00:21:52,580 +إيه يا نور؟ S مش هيك؟ بديها كامل، الأولى، بدي أكملها + +262 +00:21:52,580 --> 00:21:55,820 +.. طلعوا على الثانية، كاملوا اللي هي مش دي باتجاه + +263 +00:21:55,820 --> 00:22:02,560 +الزد و أس باتجاه الأس، بدي أكمل الثانية في + +264 +00:22:02,560 --> 00:22:06,840 +أس أس، زينة + +265 +00:22:06,840 --> 00:22:15,820 +بنتقع، طب بدي أكمل، هي هدى وهي هدى، بدي أكمل ليش؟ + +266 +00:22:17,930 --> 00:22:20,570 +طب ولا لا، بقى كاملة، ما أوقفش أصلًا منها، أقول لك إيش .. + +267 +00:22:20,570 --> 00:22:24,650 +إيش .. إيش تتكامل المقا .. تفضل المقا؟ و هي الأس؟ + +268 +00:22:24,650 --> 00:22:31,790 +مش هذي مشكلتي؟ وينها؟ و هي؟ طب الأس تربيعي برضه + +269 +00:22:31,790 --> 00:22:35,110 +مش مشكلة، أنا مش هذي اللي بدور عليه، الأس هذ .. + +270 +00:22:35,110 --> 00:22:39,130 +بنفع تطلعها برا التكامل؟ + +271 +00:22:39,130 --> 00:22:44,030 +إيش بتحولوه؟ أحاولوا أنا وإياكم اللي لـ C ما أعرف + +272 +00:22:44,030 --> 00:22:50,410 +نسمح ننسى، أحاولوا S hat بيساوي cos ف I زائد sin ف J + +273 +00:22:50,410 --> 00:22:55,770 +I و J بيطلعهم برا التكامل، طب يلّا نكمل cos ف D ف + +274 +00:22:55,770 --> 00:23:04,870 +من 0 ل 2π طبعاً، ليش؟ إيش تكامل cos ف؟ تكامل cos sin + +275 +00:23:04,870 --> 00:23:11,980 +صفر، صفر 2π، روح طيب، ان كامل sin فاي، ايه + +276 +00:23:11,980 --> 00:23:22,100 +تكامل؟ cos 2π؟ + +277 +00:23:22,100 --> 00:23:30,960 +واحد ناقص واحد، إذن هذا يروح، كلّه اللي مغلبك في + +278 +00:23:30,960 --> 00:23:35,220 +التكامل، هذا يروح، من الذي ضيّع تكامل الـ Dφ ضيّع + +279 +00:23:35,220 --> 00:23:38,780 +إذن هذا ما له دعوة، إيش ضل عندي هذا؟ هذا سهل، في + +280 +00:23:38,780 --> 00:23:43,640 +أس و هنا في أس تربيع، تكامله سهل، صحيح ولا لأ؟ إذن + +281 +00:23:43,640 --> 00:23:46,840 +بيقول it is clear that only the z component that + +282 +00:23:46,840 --> 00:23:49,680 +survives، الثاني يروح، عرفتوا ليش يروح؟ لمّا نكتب + +283 +00:23:49,680 --> 00:23:55,920 +كيف، ليش يروح؟ لأنّه cos φ وsin ف بيروحوا، تمام، ما أضغطش + +284 +00:23:55,920 --> 00:24:03,970 +عن جليل EZ طلعت ال EZ، وهذه هي وهذه وهذا + +285 +00:24:03,970 --> 00:24:08,830 +تكامل ثانوية، بيعرفوا يكملوه، كملته وظبطت + +286 +00:24:08,830 --> 00:24:13,530 +النتيجة من صفر إلى النهاية، مش أسهل منها، فطلعت هي + +287 +00:24:13,530 --> 00:24:19,410 +القانون، هذه EZ هي EZ، إذا بدك ال force هي ال force + +288 +00:24:19,410 --> 00:24:22,590 +صح؟ + +289 +00:24:22,590 --> 00:24:26,430 +هي طلع ال force، خلصت هذه الطريقة الأولى، طلع ال + +290 +00:24:26,430 --> 00:24:26,790 +force + +291 +00:24:32,480 --> 00:24:36,980 +تطلعوا، إيش طلع؟ هاي U، تقول لي لو كانت Image + +292 +00:24:36,980 --> 00:24:41,800 +المفروض تطلع Q في Q شرطة على 2D تربيع، هي .. هاي 2D + +293 +00:24:41,800 --> 00:24:47,020 +تربيع، شايفين 2D تربيع، وينها؟ ها هي، وها هي K، مظبوط؟ + +294 +00:24:47,020 --> 00:24:52,240 +معناته، هذه Q تربيع، يعني أنا Q Q، هذه تقدر تقول + +295 +00:24:52,240 --> 00:24:57,820 +عنها Q شرطة، ولا لا؟ الأصل، الأصل تكون الـQ شرطة، لو + +296 +00:24:57,820 --> 00:25:00,500 +بيتحل بال image، أنت عارف ال Q شرطة اللي تطلع معاك + +297 +00:25:00,500 --> 00:25:03,700 +لازم يطلع معاك هنا، إذن اللي لازم ال Q شرطة تطلع + +298 +00:25:03,700 --> 00:25:11,240 +معاك، هذه هي عبارة عن .. sorry، عشان كده احنا جبنا Q + +299 +00:25:11,240 --> 00:25:18,460 +بالسالب كاي E على كاي E زائد 2، مظبوط ولا لأ؟ هيك + +300 +00:25:18,460 --> 00:25:22,780 +لازم تطلع ال image charge، نجرب تطلع معانا هيك ولا + +301 +00:25:22,780 --> 00:25:26,220 +لأ، كيف بدي أحلها بال image charge؟ طبعاً هذا كلّه + +302 +00:25:29,080 --> 00:25:32,040 +الproblem can be solved using the method of images + +303 +00:25:32,040 --> 00:25:37,720 +ال image خدناها شطرة ثلاثة، صح ولا لأ؟ طبعاً طو + +304 +00:25:37,720 --> 00:25:40,200 +الشباب بيحكوا عن امتحان، الامتحان خلاص، سبتنا عام + +305 +00:25:40,200 --> 00:25:44,780 +2014، الدكتور ناصر، خلا عام عشر، أظن، عشان أحد عشر، إيه + +306 +00:25:44,780 --> 00:25:49,920 +أجهزة، تمام، ما هو بعد ما أنتم حكيتولي، جيت بالأمس + +307 +00:25:49,920 --> 00:25:53,800 +جايين وفد من الشباب، بـ 12، عشر، ليش؟ قال طلع ال + +308 +00:25:53,800 --> 00:25:56,840 +classic، يوم 11، هم جايين الشباب، قولت لهم المعلومة + +309 +00:25:56,840 --> 00:26:01,260 +عرفتها أنا منكم، مش منكم، إنّه 11، قولت لهم بس مرضى 11 + +310 +00:26:01,260 --> 00:26:04,890 +مش هيضّل معاكم، لأنّه في إجازة، على كلّ الأحوال، ثبتنا 14 + +311 +00:26:04,890 --> 00:26:08,130 +لما راحوا لجلد الدكتور ناصر، 11 إجازة، فخلّتها 10 + +312 +00:26:08,130 --> 00:26:13,950 +فظبطت إنّه 14، خلاص نرجع لإيش، جاب سنة امتحان، مين بدي + +313 +00:26:13,950 --> 00:26:16,630 +أجيب فيه سؤالين، ثلاثة ولا أربعة؟ الحين بدي أجيب + +314 +00:26:16,630 --> 00:26:20,090 +ثلاثة أسئلة، صح ولا لأ؟ قولوا لي، مين أشمل، ثلاثة ولا + +315 +00:26:20,090 --> 00:26:23,410 +أربعة؟ + +316 +00:26:23,410 --> 00:26:27,380 +طيب، و أربعة، إيش بنسوي فيه قاعد؟ إحنا قاعدين بنضيف، + +317 +00:26:27,380 --> 00:26:32,020 +بنعيد، ثلاثة، الأصل إنّه يكون أربعة، هو عليه سواء إيه + +318 +00:26:32,020 --> 00:26:35,220 +لأنّه أنت إيش بدك تعطيه في ثلاثة، عدّ من أربعة ما + +319 +00:26:35,220 --> 00:26:40,040 +تبيّته في ثلاثة بالظبط + +320 +00:26:40,040 --> 00:26:44,980 +تمام، خلينا نشوف ال image، لأن ال image أخذناها في + +321 +00:26:44,980 --> 00:26:50,990 +ثلاثة، أذكركم، مش هو ال image، ال image، قال لي شحنة و + +322 +00:26:50,990 --> 00:26:57,130 +سطح .. شحنة وسطح يستبدل بشحنة و image للشحنة + +323 +00:26:57,130 --> 00:27:01,310 +بيصير السؤال عندك، ما هو الشحنة و السطح؟ بيصير عندك + +324 +00:27:01,310 --> 00:27:04,950 +شحنة و شحنة .. شحنة وشحنة، طيب هذه الشحنة ال image + +325 +00:27:04,950 --> 00:27:07,750 +إيش هي .. كيف بتعملها؟ قال لي أهم حاجة، بت + +326 +00:27:07,750 --> 00:27:11,010 +تحطها .. ما تحطهاش في المنطقة اللي أنت بتوجد فيها شدة + +327 +00:27:11,010 --> 00:27:15,690 +المجال، صح؟ لازم في المنطقة الثانية، مقدارها + +328 +00:27:15,690 --> 00:27:18,590 +وبعدها بيحددوا الـ Boundary Conditions، صح ولا لأ؟ + +329 +00:27:18,590 --> 00:27:22,830 +حلو، إذن الproblem can be solved using the method + +330 +00:27:22,830 --> 00:27:29,290 +of images by replacing السطح by image charges + +331 +00:27:29,290 --> 00:27:34,790 +طيب، بدك boundary conditions، قال لك grounded؟ ما + +332 +00:27:34,790 --> 00:27:38,230 +جالك grounded، و قال لي ما هو هذا سطح بفصل بين two + +333 +00:27:38,230 --> 00:27:41,210 +media، فيه عند ال boundary condition اللي بنعرفها + +334 +00:27:41,210 --> 00:27:48,590 +دي 1 n ناقص دي 2n بيساوي sigma free، ذاكرينها، مش هي V + +335 +00:27:48,590 --> 00:27:50,670 +المهم الـ Boundary Condition، أنا كنا بقول معلومة + +336 +00:27:50,670 --> 00:27:53,250 +عشان نريحنا، ما كناش خدنا الضغط الكهربائي والشغلات + +337 +00:27:53,250 --> 00:27:56,910 +هذه، تمام؟ المهم أن يكون فيه Boundary Condition، + +338 +00:27:56,910 --> 00:28:00,270 +أهم حاجة، أكثر من .. أشمل من أن يكون V .. لو V + +339 +00:28:00,270 --> 00:28:03,830 +معلومة، بتكون أحسن، أسهل، لأنّه هذا الـ Boundary + +340 +00:28:03,830 --> 00:28:07,630 +Condition مثبت، تمام؟ فدي واحد ناقص دي اثنين بيساوي + +341 +00:28:07,630 --> 00:28:11,190 +Sigma 3، ما فيش Sigma 3، إذن أنا صفر، الـ D + +342 +00:28:11,190 --> 00:28:14,370 +بيساوي إبسلون في الـ E، ذاكرينها؟ فوق في إبسلون الـ + +343 +00:28:14,370 --> 00:28:17,170 +Note، وتحت فيه إبسلون، لأنّه بيقول لي فوق فراغ وتحت + +344 +00:28:17,170 --> 00:28:20,870 +فيه Material، وفيه كمان condition اللي هو هذا + +345 +00:28:20,870 --> 00:28:24,190 +V1 + +346 +00:28:24,190 --> 00:28:28,030 +بيساوي V2، طبعاً هذا الكلام، هذا وهذا على السطح يعني + +347 +00:28:28,030 --> 00:28:32,470 +عن Z بتساوي 0، اتطبعوا هذا، إيش بيقول؟ بيقول واحد و + +348 +00:28:32,470 --> 00:28:37,260 +اثنين، واحد فوق واثنين تحت، يعني أنت بدك تجيب شدة + +349 +00:28:37,260 --> 00:28:41,420 +المجال فوق وتحت، غصب عنك، صح؟ إيش هو بيقول لي في + +350 +00:28:41,420 --> 00:28:45,820 +ال image؟ إذن بدك تجيب المجال فوق، ال image + +351 +00:28:45,820 --> 00:28:48,980 +بيكون تحت، وإذا بدك تجيب المجال تحت، وين ال + +352 +00:28:48,980 --> 00:28:54,320 +image بيكون؟ فوق، تمام؟ واحدة واحدة، to find V1، + +353 +00:28:54,320 --> 00:28:57,660 +بدك تجيب شدة المجال فوق، هي الرسمة سهلة، بدك + +354 +00:28:57,660 --> 00:29:02,990 +تجيب شدة المجال فوق، وأنا فوق، يعني عند أي نقطة + +355 +00:29:02,990 --> 00:29:08,070 +فوق، هلاقي فوق، هذه مش فوق ولا لأ؟ بدي هنا وإيه + +356 +00:29:08,070 --> 00:29:11,410 +بدي أحط ال image؟ تحت، عشان تظبط معاك، بدي أحطها + +357 +00:29:11,410 --> 00:29:21,830 +هنا، وهتطلع معاك برضه دي، بس Q شرطة مش نفسها Q، لأن + +358 +00:29:21,830 --> 00:29:26,730 +V من صفر، وهدي ضايع الكمام، مش هو، طيب، إذن كيف + +359 +00:29:26,730 --> 00:29:28,990 +فرق الجهود؟ جميعها عبارة عن two-pointed charges + +360 +00:29:30,340 --> 00:29:36,080 +عندك أنت استبدلت كل سؤالك بشحنة وشحنة، مش عندك V K + +361 +00:29:36,080 --> 00:29:42,000 +Q1 على R1 زائد Q2 على R2، مش هال ال two-point charges + +362 +00:29:42,000 --> 00:29:50,980 +ابدأ اشتغل، خلاص، هال V1، يلّا نجيبها، هذه هي، بدي R1 + +363 +00:29:50,980 --> 00:29:55,580 +script، هالجيت، الله خلقها، في ال R script + +364 +00:29:55,580 --> 00:30:04,630 +هادية، واحدة واحدة، هاي R واحد بتساوي R ناقص R شرطة + +365 +00:30:04,630 --> 00:30:08,690 +دلّ برك، أنا النقطة حددتها، يا هودا، إياك تحربي، بتهيأ + +366 +00:30:08,690 --> 00:30:17,310 +الجيل، بدي أسألك إيه؟ آه، كاملي ده + +367 +00:30:17,310 --> 00:30:25,150 +ال R، كاملي، بس النقطة على الطاولة يا هودا، النقطة + +368 +00:30:25,150 --> 00:30:34,250 +على الطاولة، احكي يا راشا، تحكي صح، هل جيت + +369 +00:30:34,250 --> 00:30:39,770 +اللي أنتِ حكيتيه، هل Z بتساوي صفر؟ لأ، هذه النقطة + +370 +00:30:39,770 --> 00:30:44,670 +هيها، هي إحدى إحداثياتها، مش هيها، هذه عبارة عن + +371 +00:30:44,670 --> 00:30:55,130 +بعدها عنبعدها، فهذه R بتساوي SSH زي ZKH صح؟ دخلت + +372 +00:30:55,130 --> 00:31:06,950 +المعلومة؟ أكيد، تمام، بدي R شرطة اللي هي هادي، إذن بدل + +373 +00:31:06,950 --> 00:31:16,530 +هادي، حطيت SS hat زي ال Z K hat ناقص دي + +374 +00:31:16,530 --> 00:31:25,680 +ال R، اتغيرت للثانية، مش هدى R، هدى واحد R اثنين شرطة + +375 +00:31:25,680 --> 00:31:31,340 +تغيرت، هذه النقطة تغيرها لأ + +376 +00:31:31,340 --> 00:31:38,440 +و R اثنين، مظبوط + +377 +00:31:38,440 --> 00:31:44,920 +هيك، وبالتالي، واحدة منهم Z ناقص D عشان K K، وواحدة Z + +378 +00:31:44,920 --> 00:31:46,540 +زائد D طبعاً + +379 +00:31:57,170 --> 00:32:03,670 +مظبوط هيك؟ طبعاً، عوضوا فوق، عوضوا نتيجة هدى V1، بدي + +380 +00:32:03,670 --> 00:32:09,890 +V2، إيش يعني V2؟ بدك الجهود تحت، صح؟ وين بدك تحط + +381 +00:32:09,890 --> 00:32:16,210 +ال image؟ فوق؟ ال image فوق، طيب، وفي الأصلية هذه، + +382 +00:32:16,210 --> 00:32:18,510 +لو طلعتوا على ال symmetry، عشان تظبط معايا، المفروض + +383 +00:32:18,510 --> 00:32:19,530 +ال image أحطها هنا كمان + +384 +00:32:23,190 --> 00:32:26,470 +تمام؟ الـ Q و Q شرطة هتكون جنب بعض، الاثنتين هذول + +385 +00:32:26,470 --> 00:32:30,010 +مع بعض، ممكن أحطهم، أسميهم إيه، ورأي حالك بالساوية Q + +386 +00:32:30,010 --> 00:32:35,030 +شرطة زي Q، أنت بدك الـQ شرطة، إذا عرفت الـQ شرطة + +387 +00:32:35,030 --> 00: + +445 +00:36:40,710 --> 00:36:45,350 +دي وهذا اتنين زد زائد دي وبعدين يجب أن تضع زد + +446 +00:36:45,350 --> 00:36:49,450 +بساوي صفر عشان عندك سطح زد ناقص دي عن زد بساوي صفر + +447 +00:36:49,450 --> 00:36:53,930 +بصي سالب دي وهذا زائد دي، صح ولا لأ؟ فلما دي اشتقت + +448 +00:36:53,930 --> 00:36:58,510 +وعملت الشغلات السهلة طلع هيك + +449 +00:37:04,340 --> 00:37:08,640 +بارشال V2 على بارشال Z سهل، لا توجد ثانوية واحدة، + +450 +00:37:08,640 --> 00:37:12,600 +فضلكه قال لي صوّر لي هدول، طبعاً لا تنسوا زد بتساوي + +451 +00:37:12,600 --> 00:37:15,900 +صفر، زد بتساوي صفر، لما زد يتساوي صفر بهذا الترم هو + +452 +00:37:15,900 --> 00:37:21,310 +هذا الترم سهل زي البيع، بظبط؟ وهذا أخوه، إذا المقامات + +453 +00:37:21,310 --> 00:37:26,290 +روحت بتبقى عندك طبعاً هذه QD بالسالب وهذه QD + +454 +00:37:26,290 --> 00:37:30,830 +بالموجب وهذه QD، صح؟ فلما تيجي تعمل وتاخد + +455 +00:37:30,830 --> 00:37:33,790 +الاعتبارات طلعت عندك هذه المعادلة Q ناقص Q شرطة + +456 +00:37:33,790 --> 00:37:36,710 +بساوي Q شرطة مزدوجة، هذا أول boundary كنت أجي وإيش + +457 +00:37:36,710 --> 00:37:40,130 +الـ boundary كنت أجي ثاني؟ قال لي V1 بساوي V2، صح + +458 +00:37:40,130 --> 00:37:44,670 +ولا؟ لما حطيت V1 بساوي V2 طلعت هذه المعادلة، خلصنا + +459 +00:37:45,790 --> 00:37:51,290 +هذه Q واحد وهذه معادلة Q ناقص Q شرطة بيساوي Q + +460 +00:37:51,290 --> 00:37:58,110 +شرطة مزدوجة، وQ زائد Q شرطة بيساوي E note على E Q + +461 +00:37:58,110 --> 00:38:03,690 +شرطة، Q شرطة مزدوجة، مظبوط هيك ولا لأ؟ طبعاً هذه E + +462 +00:38:03,690 --> 00:38:10,230 +note على E وهذه E R E note، صح؟ فصارت واحد على E R + +463 +00:38:10,230 --> 00:38:15,230 +اجمعوا + +464 +00:38:17,060 --> 00:38:22,520 +أجمع طرفي المعادلتين، اتنين Q بيساوي واحد زائد واحد + +465 +00:38:22,520 --> 00:38:28,520 +على YR Q شرطة مزدوجة، طلعنا Q شرطة مزدوجة، لما أطلع + +466 +00:38:28,520 --> 00:38:32,100 +Q شرطة مزدوجة بقدر أطلع Q شرطة ولا لأ؟ عملناها، و + +467 +00:38:32,100 --> 00:38:36,620 +هذه شغلات سهلة، طلعنا Q شرطة مزدوجة و .. و .. و .. + +468 +00:38:36,620 --> 00:38:40,320 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +469 +00:38:40,320 --> 00:38:40,900 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +470 +00:38:40,900 --> 00:38:41,180 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +471 +00:38:41,180 --> 00:38:45,190 +و .. و .. و .. و .. و .. و .. و .. و .. و .. وما + +472 +00:38:45,190 --> 00:38:52,990 +هي القوة؟ القوة بين q و q شرطة إن + +473 +00:38:52,990 --> 00:38:55,830 +في عندي أنا image الـ q شرطة مزدوجة بتأثرش إن أنا جنب + +474 +00:38:55,830 --> 00:39:00,190 +الـ q فبصير عندي note that q شرطة equal q b + +475 +00:39:00,190 --> 00:39:03,170 +الأولانية is in the force and q is now the force + +476 +00:39:03,170 --> 00:39:05,310 +between q and q شرطة diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..73de15a1c8ca5252ea851dc501936c7738829adf --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4_postprocess.srt @@ -0,0 +1,1904 @@ +1 +00:00:21,310 --> 00:00:30,030 +بدنا نحكي عن هذا السؤال وقلنا سؤال بيقول التالي ما + +2 +00:00:30,030 --> 00:00:33,710 +تحت هذا الـ plane كله مادة الـ dielectric كلها + +3 +00:00:33,710 --> 00:00:38,490 +dielectric و هذه ال force .. ال charge Q محطوطة + +4 +00:00:38,490 --> 00:00:44,670 +هناك بده القوة اللي بتأثر على هذه ال force طبعاً + +5 +00:00:44,670 --> 00:00:48,410 +للوهلة الأولى واحد بيقول إيش قوة؟ قوة من أين تيجي؟ + +6 +00:00:48,410 --> 00:00:53,490 +هذه charge لعالهالكن احنا بنعرف ان هذه الاتشارج + +7 +00:00:53,490 --> 00:00:57,750 +هتعمل البلوها هتعمل في هذه المادة يصيرها + +8 +00:00:57,750 --> 00:01:01,170 +polarization ما زال هذه المادة اللي تحت هذه اللي + +9 +00:01:01,170 --> 00:01:05,170 +هي die electric material يصيرها polarization اذا + +10 +00:01:05,170 --> 00:01:10,090 +انولدت مجال كهربائي لو انا عرفت المجال اللي في عند + +11 +00:01:10,090 --> 00:01:14,610 +النقطة هنا هذه المجال عرفته انا بقدر اقوله F + +12 +00:01:14,610 --> 00:01:22,190 +بتساوي Q في ال Eهجد هد إيه من وين جاية؟ إيه مش + +13 +00:01:22,190 --> 00:01:26,170 +تبعت الـQ لأن الواحد بيأثرش على حاله هإيه من وين + +14 +00:01:26,170 --> 00:01:31,550 +جاية؟ جاية من السطح اللي تحت أو جال هذا المثال + +15 +00:01:31,550 --> 00:01:38,210 +زيه، مش أخوه، زيه أخدناه بالـImage Methods + +16 +00:01:38,210 --> 00:01:44,050 +بالـImage Methods قلنا شحنا وكان في عنده plane بس + +17 +00:01:44,050 --> 00:01:49,110 +أيامها كنا هذه الـplane كنتكتر و groundedأيش سويت + +18 +00:01:49,110 --> 00:01:54,310 +في ال image method؟ ال image method تمام زي ما + +19 +00:01:54,310 --> 00:01:58,130 +اتفقنا في ال image that charges ايش احنا بنسوي؟ + +20 +00:01:58,130 --> 00:02:04,290 +احنا بنستبدل السطح ب image that charge نحب انه انا + +21 +00:02:04,290 --> 00:02:08,690 +استخدمت ال image that charge وقولت فيه شحنهاننفترض + +22 +00:02:08,690 --> 00:02:13,090 +أن هدى Q شرطة بدي ال force اللى على Q بقول هى ال + +23 +00:02:13,090 --> 00:02:16,050 +force between two pointed charges اذا if كما + +24 +00:02:16,050 --> 00:02:23,530 +نجيبها KQQ شرطة على R تربية مظبوط ولا لأ؟ هد انه + +25 +00:02:23,530 --> 00:02:27,570 +هد دى و هد دى معناته المسافة اللى بينهم 2D فهد + +26 +00:02:27,570 --> 00:02:34,500 +بتصير 2D تربية اذا انا في عندي طريقتينأما بجيب ستة + +27 +00:02:34,500 --> 00:02:38,420 +المجارع عند النقطة الفجانية الحمرا وبقول F بسوء Q + +28 +00:02:38,420 --> 00:02:43,640 +في E أو بجيب ال image charge وبقول القوة هي + +29 +00:02:43,640 --> 00:02:49,130 +between two point chargesالـ E نجي أول الطريقة + +30 +00:02:49,130 --> 00:02:51,950 +الأولى الـ E هي شيء هادى قال لي الـ E هادى جاي من + +31 +00:02:51,950 --> 00:02:55,390 +الـ Die Electric من الـ Die Electric طب الـ Die + +32 +00:02:55,390 --> 00:02:57,930 +Electric احنا كمو كل موضوع الشرط الأربعة الـ Die + +33 +00:02:57,930 --> 00:03:00,610 +Electric احنا كيف بنتعامل مع الـ Die Electric + +34 +00:03:00,610 --> 00:03:03,490 +قالوا الـ Die Electric بنتعامل معاه بنستبدله + +35 +00:03:03,490 --> 00:03:10,460 +بنوعين من الشحنات إما Sigma B بتسوى B Dot الـ Nو + +36 +00:03:10,460 --> 00:03:15,680 +رو بي سو سالب دل ضد ال بي و بيصير انت عشان تجيب + +37 +00:03:15,680 --> 00:03:20,240 +المجال ل die electric material بتجيب المجال و كأنه + +38 +00:03:20,240 --> 00:03:24,480 +ناتج من شحنكين سيجما و رو مظبوط هيك ولا لأ تمام + +39 +00:03:24,480 --> 00:03:31,060 +اذا ايه هذه هي المجال اللي جاي من سيجما و من روطيب + +40 +00:03:31,060 --> 00:03:34,060 +اعطاكوا ال polarization ماعطانيش ال polarization + +41 +00:03:34,060 --> 00:03:38,100 +اذا انا بدي اجيب ال polarization عشان اجيب ال + +42 +00:03:38,100 --> 00:03:42,560 +polarization ال polarization متساوي chi E في + +43 +00:03:42,560 --> 00:03:46,520 +epsilon note في E خليني اقولها شرطة عشان بس اميزك + +44 +00:03:48,620 --> 00:03:52,860 +وهذه E هي total electric field inside the + +45 +00:03:52,860 --> 00:03:56,600 +dielectric يعني المجال الكهربائي اللي تحت A على + +46 +00:03:56,600 --> 00:04:00,460 +اعتبار طبعا انت بدك إياها is a Sigma معناته ال + +47 +00:04:00,460 --> 00:04:03,500 +polarization عند السطح عند النقطة هذه بس النقطة + +48 +00:04:03,500 --> 00:04:08,600 +هذه من تحت عشان تكون في ال dielectric حلو عشان + +49 +00:04:08,600 --> 00:04:13,050 +نجيبهاSince there is no free charges inside the + +50 +00:04:13,050 --> 00:04:21,010 +dielectric إذا ماعندك بس sigma P عشان أجيب sigma P + +51 +00:04:21,010 --> 00:04:24,590 +بإيش بدك؟ بدك ال polarization صح ولا لأ؟ خلنا نجيب + +52 +00:04:24,590 --> 00:04:30,230 +ال polarization تمام بقول لي sigma P بتسوى P ضد ال + +53 +00:04:30,230 --> 00:04:36,550 +N ال normal لل surface كيف اتجاهه؟زد إذا بي ضد زد + +54 +00:04:36,550 --> 00:04:42,230 +هي بيزد تمام و ال بي عبارة عن إبسلون نوت كاي إي + +55 +00:04:42,230 --> 00:04:46,790 +مازال بيزد معناته إنت عك إي زد الشيء يا إي زد قال + +56 +00:04:46,790 --> 00:04:49,570 +لي إي زد is the zed component of the electric + +57 +00:04:49,570 --> 00:04:53,370 +field just below the plane إنت بدك شدّي المجال في + +58 +00:04:53,370 --> 00:04:57,770 +المنطقة تحت الضي electric تمام يعني عن زد بتسوي + +59 +00:04:57,770 --> 00:05:01,130 +zero this electric field من وين جاي هذه المجال + +60 +00:05:01,130 --> 00:05:04,190 +القهرابي يقولنا هذه المجال الكليهذه المجالة جاية + +61 +00:05:04,190 --> 00:05:07,190 +من مجال ايه؟ جاية من الشحن الخاص .. اصلا كل بلاو + +62 +00:05:07,190 --> 00:05:10,470 +من الشحن الخاص Q هي اللي عملت ال polarization اذا + +63 +00:05:10,470 --> 00:05:13,650 +بدك المجال من Q والمجال اللي جاء من ال + +64 +00:05:13,650 --> 00:05:17,850 +polarization .. نتيجة ال polarization اذا where EZ + +65 +00:05:17,850 --> 00:05:20,310 +is the Z component of the electric field just + +66 +00:05:20,310 --> 00:05:23,290 +below the plane و this electric field is due to + +67 +00:05:23,290 --> 00:05:28,870 +both Q and the bounded charges يعني E بسوء E1 زائد + +68 +00:05:28,870 --> 00:05:34,880 +E2 E1 تبع حدكاللي هو طبعا الشحنة الحمرا الشحنة + +69 +00:05:34,880 --> 00:05:37,860 +الحمرا pointed charge إيش قانونها؟ قال لي هي + +70 +00:05:37,860 --> 00:05:47,860 +قانونها هذا + +71 +00:05:47,860 --> 00:05:51,860 +بيصيبتك هيك، مظبوط ولا لأ؟ هذا دار الفوجاني فبقوا + +72 +00:05:51,860 --> 00:05:54,840 +تحتاني، قاللي تحتاني مانت بتقول مافيش لا فيه sigma + +73 +00:05:54,840 --> 00:05:58,860 +مافيش لا فيه sigma وانت قاعد بتجيب شدة الميال just + +74 +00:06:00,450 --> 00:06:03,890 +خلّيني أقول adjacent to any plane و الـ adjacent + +75 +00:06:03,890 --> 00:06:09,410 +to any plane اتنين بيسوي sigma على اتنين إبسلون + +76 +00:06:09,410 --> 00:06:12,510 +نوت ذاكرين قانون جاوس أول ما طبقناه لما كان في + +77 +00:06:12,510 --> 00:06:17,430 +عندي infinity plane و كنا نجيب اتبعته بواسط جاوس + +78 +00:06:17,430 --> 00:06:22,660 +sigma على اتنين إبسلون نوتهي قانونها طيب هادي سهلة + +79 +00:06:22,660 --> 00:06:26,440 +هادي بقى بدل هادي وحفظك مابيه طب و هادي كيف اجيبها + +80 +00:06:26,440 --> 00:06:36,540 +انت بدك تجيب هادي بتساوي مين ذا كلمة مش هى R نقص R + +81 +00:06:36,540 --> 00:06:44,480 +شرطة R بعد ايش؟ بعد النقطة النقطة دى كتسامرة + +82 +00:06:44,480 --> 00:06:48,390 +شايفاني اذا حطيها انا حاطب عليها Pهي تحت الـ plane + +83 +00:06:48,390 --> 00:06:52,710 +بس تقدرع على الـ plane بس من التحيط HR كيف بدي + +84 +00:06:52,710 --> 00:06:56,670 +اكتبها؟ Syndical Coordinates Syndical Coordinates + +85 +00:06:56,670 --> 00:07:00,930 +يا هودا شايفاها + +86 +00:07:00,930 --> 00:07:07,190 +النقطة انت؟ شايفاها النقطة؟ انا بدي R بعد النقطة + +87 +00:07:07,190 --> 00:07:12,170 +مش بعد Q بدي بعد النقطة هيها + +88 +00:07:19,460 --> 00:07:24,000 +طب هي وين هي النقطة؟ في الفراغ؟ كلامك بيكون لو + +89 +00:07:24,000 --> 00:07:27,480 +كانت في الفراغ طب حلو انت ايش كنتي .. خليني نروح + +90 +00:07:27,480 --> 00:07:32,400 +حاجة تانية شغالة جميلة خلينا نقول R بيسوي ZK زي + +91 +00:07:32,400 --> 00:07:38,080 +أدرورو هات صح؟ جديش خيمة Z؟ + +92 +00:07:38,080 --> 00:07:42,110 +إذن جديش ساعة R؟رو في رو هاد، اللي هو أنا بدي + +93 +00:07:42,110 --> 00:07:46,090 +أحطها أس أفي أس هاد، تمام؟ in general كلامك صحيح، + +94 +00:07:46,090 --> 00:07:48,750 +لكن أنا عندي A على الفطح، فبالتالي الـZ بتسوي + +95 +00:07:48,750 --> 00:07:55,990 +Zero، حلو، إذا هادي عبارة عن أس أس هاد، وD وR + +96 +00:07:55,990 --> 00:08:05,270 +شرطة، هي عبارة عن D باتجاه الـKصحيحه او لا؟ اه انت + +97 +00:08:05,270 --> 00:08:10,390 +جبت التاني عشان كده بتعتلج تمام؟ هاي ال R script + +98 +00:08:10,390 --> 00:08:17,190 +معناته لو اتيت عملتها هتصير هاي القانون D تربيع زي + +99 +00:08:17,190 --> 00:08:25,030 +S تربيع زي 3 ع 2 عشان هتكعيب وهدي SS-DKR صحيحه او + +100 +00:08:25,030 --> 00:08:33,270 +لا؟ تمام هدي E1 E2زي ما اتفجنا سيجمع اتنين اي نوت + +101 +00:08:33,270 --> 00:08:37,210 +سلب كي عشانها down ان انا عندي الشحنات هنا بتكون + +102 +00:08:37,210 --> 00:08:45,650 +باتجاه اللي لأسفل حلو الان بدي اقول اي واحد زي اي + +103 +00:08:45,650 --> 00:08:51,370 +اتنين اجمع هدول اتين اتين اجمعهم فصارت اي اي زد + +104 +00:08:51,370 --> 00:08:59,310 +جمعتهم مع بعض الان صار في عندى انا هذه بتساوي + +105 +00:09:00,100 --> 00:09:06,100 +خلّيني أقول كاي لأن الـP هيها أبسلون نوت كاي في E + +106 +00:09:06,100 --> 00:09:10,180 +زيت أبسلون + +107 +00:09:10,180 --> 00:09:15,820 +نوت أبسلون نوت كاي في ال E زيت وE زيت جبتها صح ولا + +108 +00:09:15,820 --> 00:09:22,540 +لأ فبحطها فصارت سيجما بالثوابسلون نوت كاي E بدل E + +109 +00:09:22,540 --> 00:09:25,140 +زيت وحطتها للقانون بجدد من المعادلة هتجيب سيجما + +110 +00:09:25,140 --> 00:09:28,280 +بيه أه هتجيبنا سيجما بيه + +111 +00:09:32,300 --> 00:09:36,280 +الان انا جبت ال polarization منها جبت sigma P قال + +112 +00:09:36,280 --> 00:09:39,960 +لي هيك تمام تمام انت ايش بدك الان لسه احنا بندور؟ + +113 +00:09:39,960 --> 00:09:44,500 +بدك هذه انت صح + +114 +00:09:44,500 --> 00:09:52,820 +هذه برضه بالذنب للرسمة تكون موجودة هذه هذه وهذه + +115 +00:09:52,820 --> 00:09:59,010 +الشحنة Q وهذه المسافة Dبدي شدّت المجال عند النقطة + +116 +00:09:59,010 --> 00:10:01,710 +هذه الان شدّت المجال من أين جاي؟ من + +117 +00:10:01,710 --> 00:10:05,350 +الـPolarization Medium و الـPolarization Medium + +118 +00:10:05,350 --> 00:10:09,890 +استبدل على إنه فيه شحنات على السطح وبس صار و كأنه + +119 +00:10:09,890 --> 00:10:12,130 +عندك هنا Sigma و جيبت قيمتها ولا ما جيبتش قيمتها + +120 +00:10:12,130 --> 00:10:19,470 +طيب الآن Sigma اللي طلعوا عليها تعتمد على S مش + +121 +00:10:19,470 --> 00:10:24,080 +Uniformمش uniform ديش بتستخدم قانون Gauss الان؟ + +122 +00:10:24,080 --> 00:10:28,320 +بتستخدم القانون الحلو اللي ده مابسعفني في كل + +123 +00:10:28,320 --> 00:10:33,840 +الأحوال هذا هو هجد + +124 +00:10:33,840 --> 00:10:40,300 +DQ point of charge؟ هل الشحنة جاي من point ولا من + +125 +00:10:40,300 --> 00:10:45,000 +ال surface كله؟ من ال surface فبال DQ كيف + +126 +00:10:45,000 --> 00:10:45,840 +بيدعملها؟ + +127 +00:10:48,870 --> 00:10:54,610 +DA سيجما في دي ايه صح لأن هو اما لمدة DL او ρو دي + +128 +00:10:54,610 --> 00:10:57,730 +تاو او سيجما دي ايه احنا الان اتفجنا ايش صارت + +129 +00:10:57,730 --> 00:11:02,050 +سيجما هو سيجما تبعتي اذا صارت E تبعتي هتكون + +130 +00:11:02,050 --> 00:11:10,150 +كالتالي بتساوي اللي هي K تكامل اتفجنا C دي S وبدل + +131 +00:11:10,150 --> 00:11:14,770 +ها دي ها و ها دي تكعيد صح؟ + +132 +00:11:16,960 --> 00:11:20,180 +نيه، ده سؤال حلو، سؤال حلو مش عشان بديجي انا في + +133 +00:11:20,180 --> 00:11:24,320 +الامتحان، بما يحتوي من خطوات، هيا كام مرة دي ابن + +134 +00:11:24,320 --> 00:11:28,040 +اقار و اقار هات و اقار ال script، وين بدي اشدت + +135 +00:11:28,040 --> 00:11:34,720 +المجال عند اي نقطة يا جماعة؟ لأ، مش اي نقطة، كانتش + +136 +00:11:34,720 --> 00:11:38,400 +معانا، فوق، شفها فوق، اي شخص معادل هادي، افضل، سوى + +137 +00:11:38,400 --> 00:11:42,700 +Q في الـE، لو بدك تجيب ال force ع Q، أي E بدك + +138 +00:11:45,590 --> 00:11:51,070 +أي E في القانون هذا؟ يعني أنا بدي هتكشفها Q، بدي + +139 +00:11:51,070 --> 00:11:54,770 +الفرصة اللي عليها، و بدي أطبخ القانون Q في ال E، + +140 +00:11:54,770 --> 00:12:04,070 +بنفع أقول Q في ال E اللي عندي جرا؟ ال E لها؟ لأنه + +141 +00:12:04,070 --> 00:12:08,550 +هادي، لو هنا مافيش مجال، كم قوة بتكون؟ Zero، إذا + +142 +00:12:08,550 --> 00:12:11,940 +بدي المجال عند النقطة هاديمش هيك بشتغل من الأول + +143 +00:12:11,940 --> 00:12:15,360 +أنا ولد بشتغل بدي المجال عند النقطة هذه طب ليش + +144 +00:12:15,360 --> 00:12:19,240 +بتدور على ويل؟ عشان بدي R انا وان بدي اجيب شدة + +145 +00:12:19,240 --> 00:12:23,860 +المجال الجاتي؟ عند النقطة هذه وانت هتبلي R script + +146 +00:12:23,860 --> 00:12:36,320 +وR script هال gate بتساوي R نقص R شرطة جديش R؟ + +147 +00:12:36,320 --> 00:12:43,860 +بعديش R؟وينها النقطة الآن؟ هي نفسها عند النقطة .. + +148 +00:12:43,860 --> 00:12:48,960 +إذا إيش بتكون صوية؟ اللي تقوى الـT دي باتجاه الـK + +149 +00:12:48,960 --> 00:12:53,740 +دي باتجاه الـK دي مسافة معروفة ولا لأ؟ انت بدك عند + +150 +00:12:53,740 --> 00:12:57,460 +النقطة هادي مش أنت بدك المجال عند النقطة هادي، إذا + +151 +00:12:57,460 --> 00:13:02,840 +هي نقطة إيش هدفياتها؟ دي باتجاه الـK إذا هادي + +152 +00:13:02,840 --> 00:13:10,910 +بتسوي دي باتجاه الـK، ناقصبدي R شرطة؟ R شرطة بعد + +153 +00:13:10,910 --> 00:13:17,690 +إيش اسمها؟ طيب وين شحنة تانية هنا؟ هي دي Q دي Q + +154 +00:13:17,690 --> 00:13:22,110 +وينها؟ بدي أخد عنصر دي .. هي sigma DF بدي أخد عنصر + +155 +00:13:22,110 --> 00:13:26,870 +هنا وين ما تاخد العنصر؟ بالـ Syndical Coordinates + +156 +00:13:26,870 --> 00:13:31,710 +إيش تثابت؟ في كل الصبح إيش يكون ثابت؟ Syndical + +157 +00:13:31,710 --> 00:13:34,330 +Coordinates S ولا Z ولا Phi؟ + +158 +00:13:37,360 --> 00:13:41,800 +نسيته شبهر واحد رأى واحد شبهر واحد دي أس أس هات زي + +159 +00:13:41,800 --> 00:13:47,720 +أس دي فاي فاي هات زي دي زد زد هات، ذاكرينه؟ إذا + +160 +00:13:47,720 --> 00:13:51,840 +ماجددش دي إيه؟ دي إيه؟ دي أس دي أس؟ دي إيه بيسوي + +161 +00:13:51,840 --> 00:13:56,700 +أس، دي أس دي فاي، مظبوط ولا لأ؟ طيب، و البعوض؟ + +162 +00:13:56,700 --> 00:14:02,000 +ماهو اللي ثابت هو قلنا؟ الـZ الـZ دي إيه ناسيه؟ + +163 +00:14:02,000 --> 00:14:09,060 +طيب، إذا معناته البعض، وين متروحه؟نرجع .. ارجعلك + +164 +00:14:09,060 --> 00:14:18,160 +انا انت كتبتي هذا صحيح؟ قداش R شرطة؟ لأنها دي سفر + +165 +00:14:18,160 --> 00:14:25,000 +عشان دي ثابتة، اذا أس أسهاد، اذا R شرطة هي أس + +166 +00:14:25,000 --> 00:14:31,540 +أسهاد، بحكي عربي؟ أكيد؟ يعني R شرطة هنا هي عبارة + +167 +00:14:31,540 --> 00:14:37,430 +عنأه ليش؟ دمعت معاكي المرة هذه كنا بنجيب شدة + +168 +00:14:37,430 --> 00:14:42,070 +المجال عند نُحط هذيك صحيح؟ المرة هذه شدت المجال + +169 +00:14:42,070 --> 00:14:46,970 +جاي من هذا العنصر طبعا هذا عنصري فهمت عليا؟ يعطيك + +170 +00:14:46,970 --> 00:14:51,570 +العافية طبعا مانفعش هال gate انت عارف ايش مننا + +171 +00:14:51,570 --> 00:14:56,730 +نسوي؟ هذا اللوح التيمين مع بعض مننا انت حكيتله + +172 +00:14:56,730 --> 00:14:57,490 +المرة هذه؟ + +173 +00:15:00,570 --> 00:15:03,930 +أقعد أشرب لك فنجان قهوة، اطلع حوش، لإن أنا لازم + +174 +00:15:03,930 --> 00:15:07,670 +أطلع بعد أيه ترديبه، بس خلص المحاضرة، شربوا حاجة، + +175 +00:15:07,670 --> 00:15:12,230 +تمام؟ أهم حاجة أنا عندي يا أبو حمزة، شايف أن ال + +176 +00:15:12,230 --> 00:15:15,930 +LCD أن يكون كله عليها ديك، مايكونش النص جاسما في + +177 +00:15:15,930 --> 00:15:20,150 +النص، يعني أنت بتجيس أكم سانتي و بتزيح أكم سانتي، + +178 +00:15:20,150 --> 00:15:23,910 +بحيث هذا الطرف تبع الإضاءة، الإضاءة يكون في النص، + +179 +00:15:23,910 --> 00:15:28,850 +فهمت عليها كيف؟بديكش تزيح ال LCD انت اللوح هذا + +180 +00:15:28,850 --> 00:15:32,210 +شايف اللوح عبارة عن نصين شايف النص ال بين و هم هذا + +181 +00:15:32,210 --> 00:15:40,490 +النص بيكون بالظبط على حدفة الفرق طيب + +182 +00:15:40,490 --> 00:15:47,170 +يعني الألواح اللي بده نزح مش ال LCD تمام ايه + +183 +00:15:47,170 --> 00:15:48,410 +السفصار يا بنات اسأله + +184 +00:15:54,410 --> 00:16:01,110 +احكي .. ماله .. اه اه احكي احكي .. + +185 +00:16:01,110 --> 00:16:05,510 +هه .. ارجع من أول .. ارجع من أول .. بهمش .. لا + +186 +00:16:05,510 --> 00:16:09,030 +ضاير .. لا ضاير .. اش مطلوب .. بدي القوة اللي على + +187 +00:16:09,030 --> 00:16:13,340 +الشحنة .. القوة اللي على الشحنة .. ميحن ..الشحنة + +188 +00:16:13,340 --> 00:16:18,500 +هذه اكشفاها قولت في عندي طرقتين جمعت F بتساوي Q في + +189 +00:16:18,500 --> 00:16:22,220 +ال E قولت والله خدتوا هذا القانون صح ولا لأ؟ قولت + +190 +00:16:22,220 --> 00:16:27,660 +هذه E بتدياها E عند أي نقطة عند النقطة اللي تبعت + +191 +00:16:27,660 --> 00:16:30,420 +الشحنة ما هي القانون هيك بيقول صح ولا لأ؟ هذه + +192 +00:16:30,420 --> 00:16:32,260 +الطريقة اللي قاعد بشتغل فيها المجال اللي هيكون من + +193 +00:16:32,260 --> 00:16:38,100 +الصدر للوهلة الأولى أن هذه الشحنة مفيش غيرها لو + +194 +00:16:38,100 --> 00:16:43,210 +انا حاطيت شحنة ومفيش غيرها عليها قوة؟ لالأ، إذا + +195 +00:16:43,210 --> 00:16:46,430 +إيش اللي صار؟ بيقوللي هذه الشحنة عملت في المادة + +196 +00:16:46,430 --> 00:16:50,310 +اللي جنبها polarization هذا ال polarization ولد + +197 +00:16:50,310 --> 00:16:55,550 +مجال، إذا المجال بطل zero لو المادة مش polarized، + +198 +00:16:55,550 --> 00:16:58,370 +هذا الجلم يعني هو المجال الاستقطاب للمادة هو + +199 +00:16:58,370 --> 00:17:02,650 +المجال نتيجة الاستقطاب، طب مين يخلى المادة تستقطف؟ + +200 +00:17:02,650 --> 00:17:08,090 +الشحنة الشحنة استقطبت واتأثرت باللي عملته إذا تمام + +201 +00:17:08,090 --> 00:17:12,700 +هيك، لكن لو أنا عنده ..بهو عليك ايه؟ لأن لو هذه + +202 +00:17:12,700 --> 00:17:15,440 +لحالها موجودة، مافيش حواليها حاجة مشحونة، كدهش + +203 +00:17:15,440 --> 00:17:19,840 +القوة اللي عليها؟ مافيش، لأنه مافيش حاجة تقول فيه + +204 +00:17:19,840 --> 00:17:23,600 +هنا مجال، تمام؟ إذا معناته أنا إيش بدي أوجد؟ بدي + +205 +00:17:23,600 --> 00:17:27,080 +أجيب مجال الاستقطاب، حلو الاستقطاب يعني من + +206 +00:17:27,080 --> 00:17:29,700 +الـdirect material، كل شرط الأربع على هذا الموضوع + +207 +00:17:29,700 --> 00:17:34,500 +قلنا بدل ما تعقد حالك في الرياضيات، قالوا بتتحول + +208 +00:17:34,500 --> 00:17:38,060 +المادة المستقطبة إلى نوعين من الشحنات رو بي و + +209 +00:17:38,060 --> 00:17:42,860 +سيجما بيTamam؟ رو بي طلعت Zero لأنه مافيش شحنات + +210 +00:17:42,860 --> 00:17:45,980 +Free وبالتالي رو بي Zero وأغلبها طلعت رو بي Zero + +211 +00:17:45,980 --> 00:17:52,100 +إيه طلع عندك؟ Sigma B إذا معناته هذا المجال جاي من + +212 +00:17:52,100 --> 00:17:56,040 +شحنات على السطح لأنه Sigma على سطح الدا إلكتريك + +213 +00:17:56,040 --> 00:18:01,570 +حلو؟ هجيت سطح الدا إلكتريك وحط القانون هداكبتجيب + +214 +00:18:01,570 --> 00:18:06,130 +مجال و كأنه سؤال سؤال كتالي هذا السطح الخط اللي + +215 +00:18:06,130 --> 00:18:10,490 +أنا عامله عليه شحنات sigma هجيت هذه ال sigma بتولج + +216 +00:18:10,490 --> 00:18:15,040 +مجال ولا بتولج مش مجال؟ بتولج، قاعد بحسب فيه؟لما + +217 +00:18:15,040 --> 00:18:19,000 +جيبت الـ Sigma، جيب بالك لسه عقولك كمان شغلة، انه + +218 +00:18:19,000 --> 00:18:20,580 +هاد الـ Sigma من وين بتجيبها؟ من أيه ال + +219 +00:18:20,580 --> 00:18:24,040 +polarization؟ و ال polarization مش معطنية، طب + +220 +00:18:24,040 --> 00:18:27,220 +أجيبه، تمام؟ اللي هي الخطوات الأولانية اللي + +221 +00:18:27,220 --> 00:18:32,200 +عملتها، أما أنا وصلت الآن، أنه آهان في Sigma + +222 +00:18:32,200 --> 00:18:39,260 +polarizedbound بدي مجالها عشان بدي مجالها ايه كهد + +223 +00:18:39,260 --> 00:18:43,420 +.. كهد السطح مشحون .. يقول الـ D cubed سوى sigma + +224 +00:18:43,420 --> 00:18:45,700 +DS .. إيش DS؟ + +225 +00:18:48,810 --> 00:18:56,070 +عنصر في السطح قُلت هذا عنصر اللي هو SDSD5 السطح + +226 +00:18:56,070 --> 00:19:01,510 +مازال على السطح إحداثياته روهان لأنه على السطح Z + +227 +00:19:01,510 --> 00:19:07,830 +جديش؟ Zero صحيه كله لأ؟ تمام؟ عشان هذا القانون + +228 +00:19:07,830 --> 00:19:13,390 +الغالبان في R script غصم العلم بـDR وR شرطةأقل + +229 +00:19:13,390 --> 00:19:17,230 +إحداث النقطة و أقل شرط إحداث عنصرك اللي اختارته + +230 +00:19:17,230 --> 00:19:23,990 +والعنصر اللي اختارته على السطح تاني + +231 +00:19:23,990 --> 00:19:29,410 +شوية تاني شوية شايفة السطح هذا طاولة اعتبرها قاعدة + +232 +00:19:29,410 --> 00:19:33,090 +استوانة و اين بجيت الاستوانة فوق عشان نقول + +233 +00:19:33,090 --> 00:19:37,830 +الـsyndical coordinates أي نقطة على الطاولة وهي + +234 +00:19:37,830 --> 00:19:40,850 +منتصف الطاولة هي ال origin تبعك أي نقطة على + +235 +00:19:40,850 --> 00:19:44,060 +الطاولة دي بليها إحداثياتهاماذا يعني إحداثياتها؟ + +236 +00:19:44,060 --> 00:19:46,800 +بُعتها عن الـorigin ولا لا؟ أي نقطة على الطاولة + +237 +00:19:46,800 --> 00:19:55,560 +إيش بتكون؟ روح بأي اتجاه روحها أي + +238 +00:19:55,560 --> 00:19:58,540 +أنصر على الطاولة بتكون إحداثياته + +239 +00:20:02,310 --> 00:20:06,170 +بين الـ Q ما هو العنصر صار الـ Q مشان أخدت عنصر؟ + +240 +00:20:06,170 --> 00:20:09,830 +هذه الـ Q لما أقول هذه كلها مشهورة وجوهة عنصري، + +241 +00:20:09,830 --> 00:20:12,950 +معناته هي الـ Q و ال origin طبعا ليش لما أقول + +242 +00:20:12,950 --> 00:20:17,190 +إحداثيات الـ R شرط هي إحداثيات الشحنة، يعني بين ال + +243 +00:20:17,190 --> 00:20:23,070 +origin والشحنة، صح ولا لأ؟ + +244 +00:20:23,070 --> 00:20:28,490 +اسأله طيب + +245 +00:20:29,290 --> 00:20:33,330 +هذه انعرفت هال gate بدي أجيب ال magnitude تبعتها + +246 +00:20:33,330 --> 00:20:38,330 +دي دي تربيع زاد اس تربيع صحيح ولا لأ؟ و hand في + +247 +00:20:38,330 --> 00:20:41,830 +المقام بدي أقول دي باتجاه ال K و S باتجاه ال S صح + +248 +00:20:41,830 --> 00:20:45,770 +ولا لأ؟ طيب هذا كله الكلام المخربش بدي أشوف لون + +249 +00:20:45,770 --> 00:20:49,750 +الموصل معايا بعد ما أعملت جيب ال sigma وبالتالي + +250 +00:20:49,750 --> 00:20:54,950 +بقول هذه بعدين بنجعلهاالان لكي نجد القوة في الـ Q + +251 +00:20:54,950 --> 00:20:58,610 +اللي انا بحكيه من أول عشان نجيب ال force نريد ان + +252 +00:20:58,610 --> 00:21:02,650 +نجد الـ electric field في موقع الـ Q بدي اشد + +253 +00:21:02,650 --> 00:21:06,950 +المجال عند النقطة هذه اللي هي موضع الـ Q و أي + +254 +00:21:06,950 --> 00:21:12,670 +قانون استخدمت القانون هذا دي + +255 +00:21:12,670 --> 00:21:16,530 +Q بيستوي سيجما دي A طبعا هنا في هذا غلط هذا غلط + +256 +00:21:16,530 --> 00:21:18,650 +عشان تلاعبكم مش موجود هذا قرأ script و هذا قرأ + +257 +00:21:18,650 --> 00:21:22,970 +script فهذه واحدة منهم غلط يعني زيادة مش غلطأصلا + +258 +00:21:22,970 --> 00:21:27,750 +مش موجود أريح تمام أنا حطيتها زي ما قلت حلو الآن + +259 +00:21:27,750 --> 00:21:32,590 +شايفين اللي هي ال R هذه إيه صارت؟ D في الجهة ال Z + +260 +00:21:32,590 --> 00:21:41,310 +نقص S في الجهة ال S R نقص R شرطة على هذه الآن هذه + +261 +00:21:41,310 --> 00:21:52,580 +إيه يا نور؟ S مش هيك؟بديها كامل الأولى بدي أكملها + +262 +00:21:52,580 --> 00:21:55,820 +.. طلعوا على التانية كاملوها اللي هي مشد دى باتجاه + +263 +00:21:55,820 --> 00:22:02,560 +الزد و أس باتجاه الأسهات بدي أكمل التانية في + +264 +00:22:02,560 --> 00:22:06,840 +أس أسهات زينة + +265 +00:22:06,840 --> 00:22:15,820 +بنتقع طب بدي أكمل هى هدى و هى هدى بدي أكمل ليش؟ + +266 +00:22:17,930 --> 00:22:20,570 +طب و لا لا بقى كاملة مابقفش أصل منها، أقولك إيش .. + +267 +00:22:20,570 --> 00:22:24,650 +إيش .. إيش تتكامل المقا .. تفضل المقا؟ و هي الأس؟ + +268 +00:22:24,650 --> 00:22:31,790 +مش هذي مشكلتي؟ وينها؟ و هي؟ طب الأس تربيعكي برضه + +269 +00:22:31,790 --> 00:22:35,110 +مش مشكلة، أنا مش هذي اللي بدور عليه، الأس هذ .. + +270 +00:22:35,110 --> 00:22:39,130 +بنفع تطلعه برا التكامل؟ + +271 +00:22:39,130 --> 00:22:44,030 +إيش بتحولوه؟أحاولوا أنا وإياكم اللي لـ C ماعرف + +272 +00:22:44,030 --> 00:22:50,410 +نسمح ننسوه أحاولوا S hat بيسوي cos ف I ذات sin ف J + +273 +00:22:50,410 --> 00:22:55,770 +I و J بيطلحهم برا التكامل طب يللا نكمل cos ف D ف + +274 +00:22:55,770 --> 00:23:04,870 +من 0 ل 2π طبعا ليش؟ إيش تكامل cos ف؟ تكامل cos sin + +275 +00:23:04,870 --> 00:23:11,980 +سن سفر؟ سن اتنين باي؟ روحطيب، ان كامل sin فاي، ايه + +276 +00:23:11,980 --> 00:23:22,100 +تكامل؟ cos كوساين السفر؟ كوسان الأتنين باي؟ + +277 +00:23:22,100 --> 00:23:30,960 +واحد نقص واحد، إذن هذا روح كله اللي مغلبك في + +278 +00:23:30,960 --> 00:23:35,220 +التكامل، هذا يروحمن الذى ضيّعه تكامل الـ Dφ ضيّعه + +279 +00:23:35,220 --> 00:23:38,780 +إذا هذا مالوش دعوة، إيش ضال عندي هذا؟ هذا سهل، في + +280 +00:23:38,780 --> 00:23:43,640 +أس و هنا في أس تربيع تكاملوا سهل صحيح ولا لأ؟ إذا + +281 +00:23:43,640 --> 00:23:46,840 +بيقول it is clear that only the z component that + +282 +00:23:46,840 --> 00:23:49,680 +survives التاني روح، عرفتوا ليش روح؟ لمش كاتبوا + +283 +00:23:49,680 --> 00:23:55,920 +كيف ليش روح؟ لأنه cos φ وsin ف بيروحوهم تمام بضغطش + +284 +00:23:55,920 --> 00:24:03,970 +عن جليل EZ طلعت ال EZSDSD Phi وهذه هي وهذه وهذا + +285 +00:24:03,970 --> 00:24:08,830 +تكامل تعون ثانوية بيعرفوا يكملوه كملته وظبطت + +286 +00:24:08,830 --> 00:24:13,530 +النتيجة من صفر لمل نهاية مش أسهل منها فطلعت هي + +287 +00:24:13,530 --> 00:24:19,410 +القانون هذه EZ هي EZ إذا بدك ال force هي ال force + +288 +00:24:19,410 --> 00:24:22,590 +صح؟ + +289 +00:24:22,590 --> 00:24:26,430 +هي طلع ال force خلصت هذه الطريقة الأولى طلع ال + +290 +00:24:26,430 --> 00:24:26,790 +force + +291 +00:24:32,480 --> 00:24:36,980 +تطلعوا إيش طلع؟ هاي U تقول لي لو كانت Image + +292 +00:24:36,980 --> 00:24:41,800 +المفروض تطلع Q في Q شرطة على 2D تربية هي .. هاي 2D + +293 +00:24:41,800 --> 00:24:47,020 +تربية شايفين 2D تربية وينها؟ هايها وهاي K، مظبوط؟ + +294 +00:24:47,020 --> 00:24:52,240 +معناته، هذه Q تربية، يعني أنا Q Q، هذه تقدر تقول + +295 +00:24:52,240 --> 00:24:57,820 +عنها Q شرطة ولا لا؟ الأصل الأصل تكون الـQ شرطةلو + +296 +00:24:57,820 --> 00:25:00,500 +بيتحل بال image انت عارف ال Q شرطاش اللي تطلع معاك + +297 +00:25:00,500 --> 00:25:03,700 +لازم يطلع معاك هنا إذا اللي لازم ال Q شرطة تطلع + +298 +00:25:03,700 --> 00:25:11,240 +معاك هذه هي عبارة عن .. sorry عشان كده احنا جبنا Q + +299 +00:25:11,240 --> 00:25:18,460 +بالسالب كاي E على كاي E زائد 2 مظبوط ولا لأ؟ هيك + +300 +00:25:18,460 --> 00:25:22,780 +لازم تطلع ال image يتشارج نجرب تطلع معانا هيك ولا + +301 +00:25:22,780 --> 00:25:26,220 +لأ كيف بدي أحلها بال image يتشارج؟ طبعا هذا كله + +302 +00:25:29,080 --> 00:25:32,040 +الproblem can be solved using the method of images + +303 +00:25:32,040 --> 00:25:37,720 +ال image خدناها شطرة ثلاثة صح ولا لأ طبعا طو + +304 +00:25:37,720 --> 00:25:40,200 +الشباب بيحكوا عن امتحان الامتحان خلاص سبتنا عام + +305 +00:25:40,200 --> 00:25:44,780 +2014 الدكتور ناصر خلا عام عشر اظن عشان احداش ايه + +306 +00:25:44,780 --> 00:25:49,920 +جهزة تمامما هو بعد ما انتوا حاكيتولي لجيت بارح + +307 +00:25:49,920 --> 00:25:53,800 +جايين يوفد من الشباب ب 12 عشرة ليش؟ قال طلع ال + +308 +00:25:53,800 --> 00:25:56,840 +classic يوم 11 هم جايين الشباب، قولتلهم المعلومة + +309 +00:25:56,840 --> 00:26:01,260 +عرفتها انا منكم مش منكم انه 11، قولتلهم بس مرضه 11 + +310 +00:26:01,260 --> 00:26:04,890 +مش هيضلت معاكم لإنه في إجازةعلى كل أحوان ثبتنا 14 + +311 +00:26:04,890 --> 00:26:08,130 +لما راحوا لجلد الدكتور ناصر 11 إيجازة فخلّها 10 + +312 +00:26:08,130 --> 00:26:13,950 +فظبطت إنه 14 خلاص نرجع لإيش جاب سنة امتحان مين بدي + +313 +00:26:13,950 --> 00:26:16,630 +أجيب فيه سؤالين تلاتة ولا أربعة؟ الحين بدي أجيب + +314 +00:26:16,630 --> 00:26:20,090 +تلاتة أسئلة صح ولا لأ؟ قولكم مين أشمل تلاتة ولا + +315 +00:26:20,090 --> 00:26:23,410 +أربعة؟ + +316 +00:26:23,410 --> 00:26:27,380 +طيب و أربع إيش بنسوي فيه قاعد؟احنا قاعدين بنضيف، + +317 +00:26:27,380 --> 00:26:32,020 +بنعيد تلاتة الاصل لإن يكون أربعة هو عليه سواء إيه + +318 +00:26:32,020 --> 00:26:35,220 +لإنه إنت إيش بدك يديه في تلاتة، عد من أربعة ما + +319 +00:26:35,220 --> 00:26:40,040 +تبيتيه في تلاتة بالظبط + +320 +00:26:40,040 --> 00:26:44,980 +تمام خلينا نشوف ال image لإن ال image أخدناها في + +321 +00:26:44,980 --> 00:26:50,990 +تلاتة أذكركم مش هو ال image ال imageقال لي شحنة و + +322 +00:26:50,990 --> 00:26:57,130 +سطح .. شحنة و سطح يستبدل بشحنة و image للشحنة + +323 +00:26:57,130 --> 00:27:01,310 +بيصير السؤال عندك ما هو الشحنة و السطح؟ بيصير عندك + +324 +00:27:01,310 --> 00:27:04,950 +شحنة و شحنة .. شحنة و شحنة طيب هذه الشحنة ال image + +325 +00:27:04,950 --> 00:27:07,750 +إيش هي .. كيف بيك تعملها؟ قال لي أهم حاجة بيك + +326 +00:27:07,750 --> 00:27:11,010 +تحطها .. تحطهاش في المنطقة اللي أنت بتوجد فيها شدة + +327 +00:27:11,010 --> 00:27:15,690 +المجال صح ولا لازم في المنطقة التانيةمقدارها + +328 +00:27:15,690 --> 00:27:18,590 +وبعدها بيحددوا الـ Boundary Conditions صح ولا لأ؟ + +329 +00:27:18,590 --> 00:27:22,830 +حلو إذن الproblem can be solved using the method + +330 +00:27:22,830 --> 00:27:29,290 +of images by replacing الصطيح by images charges + +331 +00:27:29,290 --> 00:27:34,790 +طيب، بدك boundary conditions، قالك grounded؟ما + +332 +00:27:34,790 --> 00:27:38,230 +جالكاش grounded و قاللي ما هو هذا سطح بفصل بين two + +333 +00:27:38,230 --> 00:27:41,210 +media فيه عند ال boundary condition اللي بنعرفها + +334 +00:27:41,210 --> 00:27:48,590 +دي 1 n نقص 2n بيستوي sigma free ذاكرينها مش هيV + +335 +00:27:48,590 --> 00:27:50,670 +المهم الـ Boundary Condition أنا كنا بقول معلومة + +336 +00:27:50,670 --> 00:27:53,250 +عشان تريحنا، ماكناش ماخدين الضي إلكتريك و الشغلات + +337 +00:27:53,250 --> 00:27:56,910 +هذه، تمام؟ المهم أن يكون فيه Boundary Condition، + +338 +00:27:56,910 --> 00:28:00,270 +أهم حاجة، أكتر من .. أشمر من أن يكون V .. لو V + +339 +00:28:00,270 --> 00:28:03,830 +معلومة، بتكون أحسن أسهلي، لأنه هذا الـ Boundary + +340 +00:28:03,830 --> 00:28:07,630 +Condition مثبت، تمام؟ فدي واحد إن نقص دي اتنين إن + +341 +00:28:07,630 --> 00:28:11,190 +بيستوي Sigma 3، مافيش Sigma 3 إذا أنا سفروالـ D + +342 +00:28:11,190 --> 00:28:14,370 +بيسوي إبسلون في الـ E، ذاكرينها؟ فوق في إبسلون الـ + +343 +00:28:14,370 --> 00:28:17,170 +Note و تحت فيه إبسلون لأن هو بيقول لي فوق فراغة و + +344 +00:28:17,170 --> 00:28:20,870 +تحت فيه Material وفيه كمان condition اللي هو هذا + +345 +00:28:20,870 --> 00:28:24,190 +V1 + +346 +00:28:24,190 --> 00:28:28,030 +بيسوي V2 طبعا هذا الكلام هذا و هذا على السطح يعني + +347 +00:28:28,030 --> 00:28:32,470 +عن Z بتسوي 0 اتطبعوا هذا إيش بيقول؟ بيقول واحد و + +348 +00:28:32,470 --> 00:28:37,260 +اتنين، واحد فوقو اتنين تحت يعني انت بداخل تجيب شدة + +349 +00:28:37,260 --> 00:28:41,420 +المجال فوق و تحت غصب عنك صح؟ ايش هو بيقول ليه في + +350 +00:28:41,420 --> 00:28:45,820 +ال image؟ اذا بداخل تجيب المجال فوق، ال image + +351 +00:28:45,820 --> 00:28:48,980 +بيكون تحت و اذا بداخل تجيب المجال تحت، وين ال + +352 +00:28:48,980 --> 00:28:54,320 +image بيكون؟ فوق تمام؟ واحدة واحدة to find v1، + +353 +00:28:54,320 --> 00:28:57,660 +بداخل تجيب شدة المجال فوق، هيا الرسمة مهلة، بداخل + +354 +00:28:57,660 --> 00:29:02,990 +تجيب شدة المجال فوق، و انا فوق يعنيعند أي نقطة + +355 +00:29:02,990 --> 00:29:08,070 +فوق، هلاقي فوق، هذي مش فوق ولا لأ؟ بدي هنا و إيه + +356 +00:29:08,070 --> 00:29:11,410 +بدي أحط ال image؟ تحت، عشان تظبط معاك بدي أحطها + +357 +00:29:11,410 --> 00:29:21,830 +هنا و هتطلع معاك برضه دي، بس Q شرطة مش نفسها Q لأن + +358 +00:29:21,830 --> 00:29:26,730 +V من السفر، و هد ضايق الكمام مش هوا طيب، إذا كيف + +359 +00:29:26,730 --> 00:29:28,990 +فرق الجهود؟ جميعها عبارة عن two-pointed charges + +360 +00:29:30,340 --> 00:29:36,080 +عندك انت استبدلت كل سؤالك بشحنة وشحنة مش عندك V K + +361 +00:29:36,080 --> 00:29:42,000 +Q1 على R1 زاد Q2 على R2 مش هال ال botched charges + +362 +00:29:42,000 --> 00:29:50,980 +ابدأ اشتغل خلاص هال V1 يلّا نجيبها هدا هي بدي R1 + +363 +00:29:50,980 --> 00:29:55,580 +script هالجيت الله خلّق أمونا هدوة في ال R script + +364 +00:29:55,580 --> 00:30:04,630 +هاديوحدة واحدة هاي R واحد بتساوي R ناقص R شرطة + +365 +00:30:04,630 --> 00:30:08,690 +دلبرك أنا النقطة حددتها يا هودا إياك تحرب بتهيأ + +366 +00:30:08,690 --> 00:30:17,310 +الجيل بدي أسألك إيه؟ آه كاملي ده + +367 +00:30:17,310 --> 00:30:25,150 +ال R كاملي بس النقطة على الطاولة يا هودا النقطة + +368 +00:30:25,150 --> 00:30:34,250 +على الطاولةأحكي يا راشا تحكي صح، هتخافيش هل جيت + +369 +00:30:34,250 --> 00:30:39,770 +اللي انت حكيت إيه؟ هل Z بتساوي سفر؟ لأ، هذه النقطة + +370 +00:30:39,770 --> 00:30:44,670 +هيها، هي إحدى في إيادها، مش هيها، هذه عبارة عن + +371 +00:30:44,670 --> 00:30:55,130 +بعدها نبعدها، فهذه R بتساوي SSH زي ZKH صح؟ دخلت + +372 +00:30:55,130 --> 00:31:06,950 +المعلومة؟ أكيدتمام بدي R شرطة اللي هي هادى اذا بدل + +373 +00:31:06,950 --> 00:31:16,530 +هادى حطيت SS hat زي ال Z K hat ناقص دي + +374 +00:31:16,530 --> 00:31:25,680 +ال R اتغيرت للتانيةمش هدى R هدى واحد R اتنين شرطة + +375 +00:31:25,680 --> 00:31:31,340 +تغيرت هدى النقطة تغيرها لأ + +376 +00:31:31,340 --> 00:31:38,440 +وR اتنين مظبوط + +377 +00:31:38,440 --> 00:31:44,920 +هيك وبالتالي واحدة منهم Z نقص D عشان K K وواحدة Z + +378 +00:31:44,920 --> 00:31:46,540 +زائد D طبعا + +379 +00:31:57,170 --> 00:32:03,670 +مظبوط هك؟ طبعا عوّض فوق، عوّض نهيجة هدى V1، بدي + +380 +00:32:03,670 --> 00:32:09,890 +V2، إيش يعني V2؟ بديك الجهود تحت، صح؟ وين بديك تحط + +381 +00:32:09,890 --> 00:32:16,210 +ال image؟ فوق؟ ال image فوق، طيب، وفي الأصلية هذه، + +382 +00:32:16,210 --> 00:32:18,510 +لو طلعتوا على ال symmetry عشان تظبط معايا، المفروض + +383 +00:32:18,510 --> 00:32:19,530 +ال image هحطها هنا كمان + +384 +00:32:23,190 --> 00:32:26,470 +تمام؟ الـ Q و Q شرطة هتكون جانب بعض التنتين هذول + +385 +00:32:26,470 --> 00:32:30,010 +مع بعض ممكن أحطهم أسميهم أيه و رأي حالك بالساوة Q + +386 +00:32:30,010 --> 00:32:35,030 +شرطة زي Q أنت بدك الـQ شرطة إذا عرفت الـQ شرطة + +387 +00:32:35,030 --> 00:32:40,430 +بتعطي الـQ دبل شرطة أو العكس صحيح فاعتبر أنه هي و + +388 +00:32:40,430 --> 00:32:44,250 +الـM شحنة واحدة و بس الجهد جاي من وين؟ من شحنة + +389 +00:32:44,250 --> 00:32:49,070 +واحدة بس بس هل هي كيلو الأصفية؟ مجموعة التنتين لكن + +390 +00:32:49,070 --> 00:32:53,670 +بريحني أنك انت جايطبعا .. ماشي انا بدي V .. خلصت + +391 +00:32:53,670 --> 00:32:56,110 +ال V1 يا دانيل .. خلصنا .. هجيت عشان انا بدي + +392 +00:32:56,110 --> 00:32:59,450 +اطبقها .. طبعا .. ايش اللي خلانا انها يجبر على V2؟ + +393 +00:32:59,450 --> 00:33:02,030 +اتنين .. اتنين .. بدي اطبق ال boundary condition + +394 +00:33:02,030 --> 00:33:04,730 +غصب عني .. و في ال boundary condition قال لي لازم + +395 +00:33:04,730 --> 00:33:07,750 +ال E تكون فوق .. طبعا أنا قولتلكم من أول .. انا + +396 +00:33:07,750 --> 00:33:13,010 +عارف فيه مائة ألف سؤال في دماغكم .. ايش اللي عندك + +397 +00:33:13,010 --> 00:33:18,210 +سؤال اللي انت .. اتأسأل هل احنا من قبل V1 ماجيبناش + +398 +00:33:18,210 --> 00:33:23,800 +Q تحت .. اعتبرناش من تان ..إنه Q شرط تاني فانت + +399 +00:33:23,800 --> 00:33:27,220 +تقول خلّيها تتنبل بصراحة عكس إنه image عشان هيك + +400 +00:33:27,220 --> 00:33:30,820 +إنه ما اعتبرنها image هو احنا أرجع بال .. بقرا لل + +401 +00:33:30,820 --> 00:33:36,040 +image قولناش يستبدل ال system بنفس الشحنة الأصلية + +402 +00:33:36,040 --> 00:33:40,680 +زائد image إلها، صح؟ هجيت .. هل ال image هتكون جنب + +403 +00:33:40,680 --> 00:33:43,960 +الشحنة الأصلية أو في المنطقة التانية؟ الشحنة + +404 +00:33:43,960 --> 00:33:47,980 +الأصلية لغيتها ولا خليتها؟ الأصلية طبعا إذا موجودة + +405 +00:33:48,560 --> 00:33:51,960 +هرجيت أنا بدي أجيب V2؟ بدي أبدل ال system؟ لأ أنا + +406 +00:33:51,960 --> 00:33:57,760 +قصدي هلقيتها في V1؟ في V1 مش احنا كنا معقدلين في + +407 +00:33:57,760 --> 00:34:02,100 +السؤال من أوله .. Q شرطة .. و في تحت Q شرطة؟ أه + +408 +00:34:02,100 --> 00:34:06,300 +طيب هلقيت لما احنا نيجي نحسب، هنحط Q شرطة برضه + +409 +00:34:06,300 --> 00:34:12,380 +حاسيب Q شرطة زي الكلمة الموجودة؟ زي فاق يعني؟لأ، + +410 +00:34:12,380 --> 00:34:14,840 +الأصلية الموجودة تبقى موجودة ولا مش موجودة؟ + +411 +00:34:14,840 --> 00:34:17,260 +الموجودة هو الشحنة الـ Image، تبقى تانية الـQ + +412 +00:34:17,260 --> 00:34:20,820 +شرطة، خلاص الـQ شرطة، أنا بدي أحط الأصلية كمان؟ + +413 +00:34:20,820 --> 00:34:24,340 +بدي أحط الأصلية كمان في محل الـImage؟ الأصلية ما + +414 +00:34:24,340 --> 00:34:28,340 +هي أصلية، هو الأصلية اللي حد بلعب فيها، الـQ شرطة + +415 +00:34:28,340 --> 00:34:31,860 +ما هي موجودة، آه، لما تيجي فوق الأصلية، أبغى + +416 +00:34:31,860 --> 00:34:36,660 +أنسيهاالتانية ال image الأولى خلصناها انت هل جيت + +417 +00:34:36,660 --> 00:34:40,220 +insert للفرع الأول بقولك اوجد شدة المجال فوق اوجد + +418 +00:34:40,220 --> 00:34:45,300 +شدة المجال فوق الاصلية موجودة هل شدة المجال اللي + +419 +00:34:45,300 --> 00:34:49,680 +بتجيبيها فوق انك تعوب ال image اللي تحت لا انت + +420 +00:34:49,680 --> 00:34:52,800 +جاعة بتجيب كل واحدة على حدة فبقولك اوجد شدة المجال + +421 +00:34:52,800 --> 00:34:56,160 +فوق وين ال image بيكي تحطيها اوجد شدة المجال تحت + +422 +00:34:56,160 --> 00:34:59,880 +وين بيكي تحط ال image فوق بيكي تحط الحاجة تحت اذا + +423 +00:34:59,880 --> 00:35:02,740 +ان كي شرطة هذه او واحد هذه خلصنا منها + +424 +00:35:05,850 --> 00:35:12,910 +تمام؟ إذا معناته هنا to find V2 we propose an + +425 +00:35:12,910 --> 00:35:17,390 +immediate charge Q شرطة located a distance D above + +426 +00:35:17,390 --> 00:35:20,290 +the plane in region 1 لأن أنا بجيج بعد in region 2 + +427 +00:35:20,290 --> 00:35:23,790 +the immediate charge together with the original + +428 +00:35:23,790 --> 00:35:28,650 +one بدي عرضه مثلا بالرمز Q double شرطة تمام؟ قال + +429 +00:35:28,650 --> 00:35:32,510 +إذا معناته جهود من وين جا؟ جا من الشحنة واحدة طبعا + +430 +00:35:32,510 --> 00:35:37,350 +الشحنة واحدةاركسكريبت بقعته زي R1 script صح ولا + +431 +00:35:37,350 --> 00:35:40,850 +لأ؟ هاي V2 قال لي خلاص هاجي اتطبخ ال boundary + +432 +00:35:40,850 --> 00:35:43,170 +condition ايش هو كان يجيب دي Q شرطة و Q double + +433 +00:35:43,170 --> 00:35:46,290 +شرطة ال Q شرطة الأولانية و Q double شرطة طبعة + +434 +00:35:46,290 --> 00:35:50,330 +التانية ال Q double شرطة هي عبارة عن الأصلية زائد + +435 +00:35:50,330 --> 00:35:54,390 +صح ولا لأ تم ايش هي ال boundary condition؟ apply + +436 +00:35:54,390 --> 00:35:57,130 +the boundary conditions to find the values of the + +437 +00:35:57,130 --> 00:36:01,890 +immediate charges ايش هي أول واحدة؟ epsilon not E1 + +438 +00:36:04,120 --> 00:36:09,620 +ناقص Epsilon E ب E2 مظبوط ولا لأ؟ والـ E هي + +439 +00:36:09,620 --> 00:36:13,640 +partial V على partial Z لأن Z هو الـ Normal صح؟ + +440 +00:36:13,640 --> 00:36:18,680 +لأن E1 N و E2 N بدل الـ E1 حطيت partial V على + +441 +00:36:18,680 --> 00:36:25,160 +partial Z بتساوي Zero طيب كيف بدي اشتق V1 و V2؟ + +442 +00:36:25,160 --> 00:36:31,280 +هاي V1 اشتقوا بالنسبالي Z هذا + +443 +00:36:31,280 --> 00:36:35,230 +المقام اللي فيه Zأُس نُص لما أفاضه بيصير أُس سالب + +444 +00:36:35,230 --> 00:36:40,710 +تلت ع اتنين وفي سلب نُص تفاضه للتاخري اتنين زد نقص + +445 +00:36:40,710 --> 00:36:45,350 +دي وهذا اتنين زد زائد دي و بعدين يجب ان تضع زد + +446 +00:36:45,350 --> 00:36:49,450 +بساوي سفر عشان عندك سطح زد نقص دي عن زد بساوي سفر + +447 +00:36:49,450 --> 00:36:53,930 +بصي سلب دي وهذا زائد دي صح ولا لأ فلما دي اشتقت + +448 +00:36:53,930 --> 00:36:58,510 +وعملت الشغلات السهلة طلع هيك + +449 +00:37:04,340 --> 00:37:08,640 +بارشال V2 على بارشال Z سهل، لا توجد ثانوية واحدة، + +450 +00:37:08,640 --> 00:37:12,600 +فضلكه قال لي صوّلي هدول، طبعا لا تنسوش زد بتساوي + +451 +00:37:12,600 --> 00:37:15,900 +صفر زد بتساوي صفر، لما زد يتساوي صفر بهذا الترم هو + +452 +00:37:15,900 --> 00:37:21,310 +هذا الترم سهل زي بعت، بظبط؟ وهذا أخوهإذا المقامات + +453 +00:37:21,310 --> 00:37:26,290 +روحت بتبقى عندك طبعا هذه QD بالسالب وهذه QD + +454 +00:37:26,290 --> 00:37:30,830 +بالموجب وهذه QD صح؟ فلما تيجي تعمل و تاخد + +455 +00:37:30,830 --> 00:37:33,790 +الاعتبارات طلعت عندك هذه المعادلة Q نقص Q شرطة + +456 +00:37:33,790 --> 00:37:36,710 +بساوي Q double شرطة هذا أول boundary كنت أجي وإيش + +457 +00:37:36,710 --> 00:37:40,130 +ال boundary كنت أجي تاني؟ قال لي V1 بساوي V2 صح + +458 +00:37:40,130 --> 00:37:44,670 +ولا؟ لما حطيت V1 بساوي V2 طلعت هذه المعادلة خلصنا + +459 +00:37:45,790 --> 00:37:51,290 +هذه Q واحد وهذه معادلة Q ناقص Q شرطة بيساوي Q + +460 +00:37:51,290 --> 00:37:58,110 +double براي وQ زائد Q شرطة بيساوي E note على E Q + +461 +00:37:58,110 --> 00:38:03,690 +شرطة Q double شرطة مظبوط هيك ولا لأ؟ طبعا هذه E + +462 +00:38:03,690 --> 00:38:10,230 +note على E وهذه E R E note صح؟ فصارت واحد على E R + +463 +00:38:10,230 --> 00:38:15,230 +اجمعوا + +464 +00:38:17,060 --> 00:38:22,520 +أجمع طرفين المعادلتين اتنين Q بيسوا واحد زائد واحد + +465 +00:38:22,520 --> 00:38:28,520 +على YR Q double شرطة طلعنا Q double شرطة لما أطلع + +466 +00:38:28,520 --> 00:38:32,100 +Q double شرطة بقدر أطلع Q شرطة ولا لأ اعملناها و + +467 +00:38:32,100 --> 00:38:36,620 +هذه شغلات سهلة طلعنا Q double شرطة و .. و .. و .. + +468 +00:38:36,620 --> 00:38:40,320 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +469 +00:38:40,320 --> 00:38:40,900 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +470 +00:38:40,900 --> 00:38:41,180 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +471 +00:38:41,180 --> 00:38:45,190 +و .. و .. و .. و .. و .. و .. و .. و .. و .. وما + +472 +00:38:45,190 --> 00:38:52,990 +هي القوة؟ القوة بين q و q شرطة ان + +473 +00:38:52,990 --> 00:38:55,830 +في عندى انا image الـ q دبل شرطة بتأثرش ان انا جنب + +474 +00:38:55,830 --> 00:39:00,190 +ال q فبصير عندى note that q شرطة equal q b + +475 +00:39:00,190 --> 00:39:03,170 +الأولانية is in the force and q is now the force + +476 +00:39:03,170 --> 00:39:05,310 +between q and q شرطة + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..2af4d910cb42d5d4f853acf9c97ab41f4251fb0b --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/B60EmCjUeI4_raw.srt @@ -0,0 +1,1912 @@ +1 +00:00:21,310 --> 00:00:30,030 +بدنا نحكي عن هذا السؤال وقلنا سؤال بيقول التالي ما + +2 +00:00:30,030 --> 00:00:33,710 +تحت هذا الـ plane كله مادة الـ dielectric كلها + +3 +00:00:33,710 --> 00:00:38,490 +dielectric و هذه ال force .. ال charge Q محطوطة + +4 +00:00:38,490 --> 00:00:44,670 +هناك بده القوة اللي بتأثر على هذه ال force طبعاً + +5 +00:00:44,670 --> 00:00:48,410 +للوهلة الأولى واحد بيقول إيش قوة؟ قوة من أين تيجي؟ + +6 +00:00:48,410 --> 00:00:53,490 +هذه charge لعالهالكن احنا بنعرف ان هذه الاتشارج + +7 +00:00:53,490 --> 00:00:57,750 +هتعمل البلوها هتعمل في هذه المادة يصيرها + +8 +00:00:57,750 --> 00:01:01,170 +polarization ما زال هذه المادة اللي تحت هذه اللي + +9 +00:01:01,170 --> 00:01:05,170 +هي die electric material يصيرها polarization اذا + +10 +00:01:05,170 --> 00:01:10,090 +انولدت مجال كهربائي لو انا عرفت المجال اللي في عند + +11 +00:01:10,090 --> 00:01:14,610 +النقطة هنا هذه المجال عرفته انا بقدر اقوله F + +12 +00:01:14,610 --> 00:01:22,190 +بتساوي Q في ال Eهجد هد إيه من وين جاية؟ إيه مش + +13 +00:01:22,190 --> 00:01:26,170 +تبعت الـQ لأن الواحد بيأثرش على حاله هإيه من وين + +14 +00:01:26,170 --> 00:01:31,550 +جاية؟ جاية من السطح اللي تحت أو جال هذا المثال + +15 +00:01:31,550 --> 00:01:38,210 +زيه، مش أخوه، زيه أخدناه بالـImage Methods + +16 +00:01:38,210 --> 00:01:44,050 +بالـImage Methods قلنا شحنا وكان في عنده plane بس + +17 +00:01:44,050 --> 00:01:49,110 +أيامها كنا هذه الـplane كنتكتر و groundedأيش سويت + +18 +00:01:49,110 --> 00:01:54,310 +في ال image method؟ ال image method تمام زي ما + +19 +00:01:54,310 --> 00:01:58,130 +اتفقنا في ال image that charges ايش احنا بنسوي؟ + +20 +00:01:58,130 --> 00:02:04,290 +احنا بنستبدل السطح ب image that charge نحب انه انا + +21 +00:02:04,290 --> 00:02:08,690 +استخدمت ال image that charge وقولت فيه شحنهاننفترض + +22 +00:02:08,690 --> 00:02:13,090 +أن هدى Q شرطة بدي ال force اللى على Q بقول هى ال + +23 +00:02:13,090 --> 00:02:16,050 +force between two pointed charges اذا if كما + +24 +00:02:16,050 --> 00:02:23,530 +نجيبها KQQ شرطة على R تربية مظبوط ولا لأ؟ هد انه + +25 +00:02:23,530 --> 00:02:27,570 +هد دى و هد دى معناته المسافة اللى بينهم 2D فهد + +26 +00:02:27,570 --> 00:02:34,500 +بتصير 2D تربية اذا انا في عندي طريقتينأما بجيب ستة + +27 +00:02:34,500 --> 00:02:38,420 +المجارع عند النقطة الفجانية الحمرا وبقول F بسوء Q + +28 +00:02:38,420 --> 00:02:43,640 +في E أو بجيب ال image charge وبقول القوة هي + +29 +00:02:43,640 --> 00:02:49,130 +between two point chargesالـ E نجي أول الطريقة + +30 +00:02:49,130 --> 00:02:51,950 +الأولى الـ E هي شيء هادى قال لي الـ E هادى جاي من + +31 +00:02:51,950 --> 00:02:55,390 +الـ Die Electric من الـ Die Electric طب الـ Die + +32 +00:02:55,390 --> 00:02:57,930 +Electric احنا كمو كل موضوع الشرط الأربعة الـ Die + +33 +00:02:57,930 --> 00:03:00,610 +Electric احنا كيف بنتعامل مع الـ Die Electric + +34 +00:03:00,610 --> 00:03:03,490 +قالوا الـ Die Electric بنتعامل معاه بنستبدله + +35 +00:03:03,490 --> 00:03:10,460 +بنوعين من الشحنات إما Sigma B بتسوى B Dot الـ Nو + +36 +00:03:10,460 --> 00:03:15,680 +رو بي سو سالب دل ضد ال بي و بيصير انت عشان تجيب + +37 +00:03:15,680 --> 00:03:20,240 +المجال ل die electric material بتجيب المجال و كأنه + +38 +00:03:20,240 --> 00:03:24,480 +ناتج من شحنكين سيجما و رو مظبوط هيك ولا لأ تمام + +39 +00:03:24,480 --> 00:03:31,060 +اذا ايه هذه هي المجال اللي جاي من سيجما و من روطيب + +40 +00:03:31,060 --> 00:03:34,060 +اعطاكوا ال polarization ماعطانيش ال polarization + +41 +00:03:34,060 --> 00:03:38,100 +اذا انا بدي اجيب ال polarization عشان اجيب ال + +42 +00:03:38,100 --> 00:03:42,560 +polarization ال polarization متساوي chi E في + +43 +00:03:42,560 --> 00:03:46,520 +epsilon note في E خليني اقولها شرطة عشان بس اميزك + +44 +00:03:48,620 --> 00:03:52,860 +وهذه E هي total electric field inside the + +45 +00:03:52,860 --> 00:03:56,600 +dielectric يعني المجال الكهربائي اللي تحت A على + +46 +00:03:56,600 --> 00:04:00,460 +اعتبار طبعا انت بدك إياها is a Sigma معناته ال + +47 +00:04:00,460 --> 00:04:03,500 +polarization عند السطح عند النقطة هذه بس النقطة + +48 +00:04:03,500 --> 00:04:08,600 +هذه من تحت عشان تكون في ال dielectric حلو عشان + +49 +00:04:08,600 --> 00:04:13,050 +نجيبهاSince there is no free charges inside the + +50 +00:04:13,050 --> 00:04:21,010 +dielectric إذا ماعندك بس sigma P عشان أجيب sigma P + +51 +00:04:21,010 --> 00:04:24,590 +بإيش بدك؟ بدك ال polarization صح ولا لأ؟ خلنا نجيب + +52 +00:04:24,590 --> 00:04:30,230 +ال polarization تمام بقول لي sigma P بتسوى P ضد ال + +53 +00:04:30,230 --> 00:04:36,550 +N ال normal لل surface كيف اتجاهه؟زد إذا بي ضد زد + +54 +00:04:36,550 --> 00:04:42,230 +هي بيزد تمام و ال بي عبارة عن إبسلون نوت كاي إي + +55 +00:04:42,230 --> 00:04:46,790 +مازال بيزد معناته إنت عك إي زد الشيء يا إي زد قال + +56 +00:04:46,790 --> 00:04:49,570 +لي إي زد is the zed component of the electric + +57 +00:04:49,570 --> 00:04:53,370 +field just below the plane إنت بدك شدّي المجال في + +58 +00:04:53,370 --> 00:04:57,770 +المنطقة تحت الضي electric تمام يعني عن زد بتسوي + +59 +00:04:57,770 --> 00:05:01,130 +zero this electric field من وين جاي هذه المجال + +60 +00:05:01,130 --> 00:05:04,190 +القهرابي يقولنا هذه المجال الكليهذه المجالة جاية + +61 +00:05:04,190 --> 00:05:07,190 +من مجال ايه؟ جاية من الشحن الخاص .. اصلا كل بلاو + +62 +00:05:07,190 --> 00:05:10,470 +من الشحن الخاص Q هي اللي عملت ال polarization اذا + +63 +00:05:10,470 --> 00:05:13,650 +بدك المجال من Q والمجال اللي جاء من ال + +64 +00:05:13,650 --> 00:05:17,850 +polarization .. نتيجة ال polarization اذا where EZ + +65 +00:05:17,850 --> 00:05:20,310 +is the Z component of the electric field just + +66 +00:05:20,310 --> 00:05:23,290 +below the plane و this electric field is due to + +67 +00:05:23,290 --> 00:05:28,870 +both Q and the bounded charges يعني E بسوء E1 زائد + +68 +00:05:28,870 --> 00:05:34,880 +E2 E1 تبع حدكاللي هو طبعا الشحنة الحمرا الشحنة + +69 +00:05:34,880 --> 00:05:37,860 +الحمرا pointed charge إيش قانونها؟ قال لي هي + +70 +00:05:37,860 --> 00:05:47,860 +قانونها هذا + +71 +00:05:47,860 --> 00:05:51,860 +بيصيبتك هيك، مظبوط ولا لأ؟ هذا دار الفوجاني فبقوا + +72 +00:05:51,860 --> 00:05:54,840 +تحتاني، قاللي تحتاني مانت بتقول مافيش لا فيه sigma + +73 +00:05:54,840 --> 00:05:58,860 +مافيش لا فيه sigma وانت قاعد بتجيب شدة الميال just + +74 +00:06:00,450 --> 00:06:03,890 +خلّيني أقول adjacent to any plane و الـ adjacent + +75 +00:06:03,890 --> 00:06:09,410 +to any plane اتنين بيسوي sigma على اتنين إبسلون + +76 +00:06:09,410 --> 00:06:12,510 +نوت ذاكرين قانون جاوس أول ما طبقناه لما كان في + +77 +00:06:12,510 --> 00:06:17,430 +عندي infinity plane و كنا نجيب اتبعته بواسط جاوس + +78 +00:06:17,430 --> 00:06:22,660 +sigma على اتنين إبسلون نوتهي قانونها طيب هادي سهلة + +79 +00:06:22,660 --> 00:06:26,440 +هادي بقى بدل هادي وحفظك مابيه طب و هادي كيف اجيبها + +80 +00:06:26,440 --> 00:06:36,540 +انت بدك تجيب هادي بتساوي مين ذا كلمة مش هى R نقص R + +81 +00:06:36,540 --> 00:06:44,480 +شرطة R بعد ايش؟ بعد النقطة النقطة دى كتسامرة + +82 +00:06:44,480 --> 00:06:48,390 +شايفاني اذا حطيها انا حاطب عليها Pهي تحت الـ plane + +83 +00:06:48,390 --> 00:06:52,710 +بس تقدرع على الـ plane بس من التحيط HR كيف بدي + +84 +00:06:52,710 --> 00:06:56,670 +اكتبها؟ Syndical Coordinates Syndical Coordinates + +85 +00:06:56,670 --> 00:07:00,930 +يا هودا شايفاها + +86 +00:07:00,930 --> 00:07:07,190 +النقطة انت؟ شايفاها النقطة؟ انا بدي R بعد النقطة + +87 +00:07:07,190 --> 00:07:12,170 +مش بعد Q بدي بعد النقطة هيها + +88 +00:07:19,460 --> 00:07:24,000 +طب هي وين هي النقطة؟ في الفراغ؟ كلامك بيكون لو + +89 +00:07:24,000 --> 00:07:27,480 +كانت في الفراغ طب حلو انت ايش كنتي .. خليني نروح + +90 +00:07:27,480 --> 00:07:32,400 +حاجة تانية شغالة جميلة خلينا نقول R بيسوي ZK زي + +91 +00:07:32,400 --> 00:07:38,080 +أدرورو هات صح؟ جديش خيمة Z؟ + +92 +00:07:38,080 --> 00:07:42,110 +إذن جديش ساعة R؟رو في رو هاد، اللي هو أنا بدي + +93 +00:07:42,110 --> 00:07:46,090 +أحطها أس أفي أس هاد، تمام؟ in general كلامك صحيح، + +94 +00:07:46,090 --> 00:07:48,750 +لكن أنا عندي A على الفطح، فبالتالي الـZ بتسوي + +95 +00:07:48,750 --> 00:07:55,990 +Zero، حلو، إذا هادي عبارة عن أس أس هاد، وD وR + +96 +00:07:55,990 --> 00:08:05,270 +شرطة، هي عبارة عن D باتجاه الـKصحيحه او لا؟ اه انت + +97 +00:08:05,270 --> 00:08:10,390 +جبت التاني عشان كده بتعتلج تمام؟ هاي ال R script + +98 +00:08:10,390 --> 00:08:17,190 +معناته لو اتيت عملتها هتصير هاي القانون D تربيع زي + +99 +00:08:17,190 --> 00:08:25,030 +S تربيع زي 3 ع 2 عشان هتكعيب وهدي SS-DKR صحيحه او + +100 +00:08:25,030 --> 00:08:33,270 +لا؟ تمام هدي E1 E2زي ما اتفجنا سيجمع اتنين اي نوت + +101 +00:08:33,270 --> 00:08:37,210 +سلب كي عشانها down ان انا عندي الشحنات هنا بتكون + +102 +00:08:37,210 --> 00:08:45,650 +باتجاه اللي لأسفل حلو الان بدي اقول اي واحد زي اي + +103 +00:08:45,650 --> 00:08:51,370 +اتنين اجمع هدول اتين اتين اجمعهم فصارت اي اي زد + +104 +00:08:51,370 --> 00:08:59,310 +جمعتهم مع بعض الان صار في عندى انا هذه بتساوي + +105 +00:09:00,100 --> 00:09:06,100 +خلّيني أقول كاي لأن الـP هيها أبسلون نوت كاي في E + +106 +00:09:06,100 --> 00:09:10,180 +زيت أبسلون + +107 +00:09:10,180 --> 00:09:15,820 +نوت أبسلون نوت كاي في ال E زيت وE زيت جبتها صح ولا + +108 +00:09:15,820 --> 00:09:22,540 +لأ فبحطها فصارت سيجما بالثوابسلون نوت كاي E بدل E + +109 +00:09:22,540 --> 00:09:25,140 +زيت وحطتها للقانون بجدد من المعادلة هتجيب سيجما + +110 +00:09:25,140 --> 00:09:28,280 +بيه أه هتجيبنا سيجما بيه + +111 +00:09:32,300 --> 00:09:36,280 +الان انا جبت ال polarization منها جبت sigma P قال + +112 +00:09:36,280 --> 00:09:39,960 +لي هيك تمام تمام انت ايش بدك الان لسه احنا بندور؟ + +113 +00:09:39,960 --> 00:09:44,500 +بدك هذه انت صح + +114 +00:09:44,500 --> 00:09:52,820 +هذه برضه بالذنب للرسمة تكون موجودة هذه هذه وهذه + +115 +00:09:52,820 --> 00:09:59,010 +الشحنة Q وهذه المسافة Dبدي شدّت المجال عند النقطة + +116 +00:09:59,010 --> 00:10:01,710 +هذه الان شدّت المجال من أين جاي؟ من + +117 +00:10:01,710 --> 00:10:05,350 +الـPolarization Medium و الـPolarization Medium + +118 +00:10:05,350 --> 00:10:09,890 +استبدل على إنه فيه شحنات على السطح وبس صار و كأنه + +119 +00:10:09,890 --> 00:10:12,130 +عندك هنا Sigma و جيبت قيمتها ولا ما جيبتش قيمتها + +120 +00:10:12,130 --> 00:10:19,470 +طيب الآن Sigma اللي طلعوا عليها تعتمد على S مش + +121 +00:10:19,470 --> 00:10:24,080 +Uniformمش uniform ديش بتستخدم قانون Gauss الان؟ + +122 +00:10:24,080 --> 00:10:28,320 +بتستخدم القانون الحلو اللي ده مابسعفني في كل + +123 +00:10:28,320 --> 00:10:33,840 +الأحوال هذا هو هجد + +124 +00:10:33,840 --> 00:10:40,300 +DQ point of charge؟ هل الشحنة جاي من point ولا من + +125 +00:10:40,300 --> 00:10:45,000 +ال surface كله؟ من ال surface فبال DQ كيف + +126 +00:10:45,000 --> 00:10:45,840 +بيدعملها؟ + +127 +00:10:48,870 --> 00:10:54,610 +DA سيجما في دي ايه صح لأن هو اما لمدة DL او ρو دي + +128 +00:10:54,610 --> 00:10:57,730 +تاو او سيجما دي ايه احنا الان اتفجنا ايش صارت + +129 +00:10:57,730 --> 00:11:02,050 +سيجما هو سيجما تبعتي اذا صارت E تبعتي هتكون + +130 +00:11:02,050 --> 00:11:10,150 +كالتالي بتساوي اللي هي K تكامل اتفجنا C دي S وبدل + +131 +00:11:10,150 --> 00:11:14,770 +ها دي ها و ها دي تكعيد صح؟ + +132 +00:11:16,960 --> 00:11:20,180 +نيه، ده سؤال حلو، سؤال حلو مش عشان بديجي انا في + +133 +00:11:20,180 --> 00:11:24,320 +الامتحان، بما يحتوي من خطوات، هيا كام مرة دي ابن + +134 +00:11:24,320 --> 00:11:28,040 +اقار و اقار هات و اقار ال script، وين بدي اشدت + +135 +00:11:28,040 --> 00:11:34,720 +المجال عند اي نقطة يا جماعة؟ لأ، مش اي نقطة، كانتش + +136 +00:11:34,720 --> 00:11:38,400 +معانا، فوق، شفها فوق، اي شخص معادل هادي، افضل، سوى + +137 +00:11:38,400 --> 00:11:42,700 +Q في الـE، لو بدك تجيب ال force ع Q، أي E بدك + +138 +00:11:45,590 --> 00:11:51,070 +أي E في القانون هذا؟ يعني أنا بدي هتكشفها Q، بدي + +139 +00:11:51,070 --> 00:11:54,770 +الفرصة اللي عليها، و بدي أطبخ القانون Q في ال E، + +140 +00:11:54,770 --> 00:12:04,070 +بنفع أقول Q في ال E اللي عندي جرا؟ ال E لها؟ لأنه + +141 +00:12:04,070 --> 00:12:08,550 +هادي، لو هنا مافيش مجال، كم قوة بتكون؟ Zero، إذا + +142 +00:12:08,550 --> 00:12:11,940 +بدي المجال عند النقطة هاديمش هيك بشتغل من الأول + +143 +00:12:11,940 --> 00:12:15,360 +أنا ولد بشتغل بدي المجال عند النقطة هذه طب ليش + +144 +00:12:15,360 --> 00:12:19,240 +بتدور على ويل؟ عشان بدي R انا وان بدي اجيب شدة + +145 +00:12:19,240 --> 00:12:23,860 +المجال الجاتي؟ عند النقطة هذه وانت هتبلي R script + +146 +00:12:23,860 --> 00:12:36,320 +وR script هال gate بتساوي R نقص R شرطة جديش R؟ + +147 +00:12:36,320 --> 00:12:43,860 +بعديش R؟وينها النقطة الآن؟ هي نفسها عند النقطة .. + +148 +00:12:43,860 --> 00:12:48,960 +إذا إيش بتكون صوية؟ اللي تقوى الـT دي باتجاه الـK + +149 +00:12:48,960 --> 00:12:53,740 +دي باتجاه الـK دي مسافة معروفة ولا لأ؟ انت بدك عند + +150 +00:12:53,740 --> 00:12:57,460 +النقطة هادي مش أنت بدك المجال عند النقطة هادي، إذا + +151 +00:12:57,460 --> 00:13:02,840 +هي نقطة إيش هدفياتها؟ دي باتجاه الـK إذا هادي + +152 +00:13:02,840 --> 00:13:10,910 +بتسوي دي باتجاه الـK، ناقصبدي R شرطة؟ R شرطة بعد + +153 +00:13:10,910 --> 00:13:17,690 +إيش اسمها؟ طيب وين شحنة تانية هنا؟ هي دي Q دي Q + +154 +00:13:17,690 --> 00:13:22,110 +وينها؟ بدي أخد عنصر دي .. هي sigma DF بدي أخد عنصر + +155 +00:13:22,110 --> 00:13:26,870 +هنا وين ما تاخد العنصر؟ بالـ Syndical Coordinates + +156 +00:13:26,870 --> 00:13:31,710 +إيش تثابت؟ في كل الصبح إيش يكون ثابت؟ Syndical + +157 +00:13:31,710 --> 00:13:34,330 +Coordinates S ولا Z ولا Phi؟ + +158 +00:13:37,360 --> 00:13:41,800 +نسيته شبهر واحد رأى واحد شبهر واحد دي أس أس هات زي + +159 +00:13:41,800 --> 00:13:47,720 +أس دي فاي فاي هات زي دي زد زد هات، ذاكرينه؟ إذا + +160 +00:13:47,720 --> 00:13:51,840 +ماجددش دي إيه؟ دي إيه؟ دي أس دي أس؟ دي إيه بيسوي + +161 +00:13:51,840 --> 00:13:56,700 +أس، دي أس دي فاي، مظبوط ولا لأ؟ طيب، و البعوض؟ + +162 +00:13:56,700 --> 00:14:02,000 +ماهو اللي ثابت هو قلنا؟ الـZ الـZ دي إيه ناسيه؟ + +163 +00:14:02,000 --> 00:14:09,060 +طيب، إذا معناته البعض، وين متروحه؟نرجع .. ارجعلك + +164 +00:14:09,060 --> 00:14:18,160 +انا انت كتبتي هذا صحيح؟ قداش R شرطة؟ لأنها دي سفر + +165 +00:14:18,160 --> 00:14:25,000 +عشان دي ثابتة، اذا أس أسهاد، اذا R شرطة هي أس + +166 +00:14:25,000 --> 00:14:31,540 +أسهاد، بحكي عربي؟ أكيد؟ يعني R شرطة هنا هي عبارة + +167 +00:14:31,540 --> 00:14:37,430 +عنأه ليش؟ دمعت معاكي المرة هذه كنا بنجيب شدة + +168 +00:14:37,430 --> 00:14:42,070 +المجال عند نُحط هذيك صحيح؟ المرة هذه شدت المجال + +169 +00:14:42,070 --> 00:14:46,970 +جاي من هذا العنصر طبعا هذا عنصري فهمت عليا؟ يعطيك + +170 +00:14:46,970 --> 00:14:51,570 +العافية طبعا مانفعش هال gate انت عارف ايش مننا + +171 +00:14:51,570 --> 00:14:56,730 +نسوي؟ هذا اللوح التيمين مع بعض مننا انت حكيتله + +172 +00:14:56,730 --> 00:14:57,490 +المرة هذه؟ + +173 +00:15:00,570 --> 00:15:03,930 +أقعد أشرب لك فنجان قهوة، اطلع حوش، لإن أنا لازم + +174 +00:15:03,930 --> 00:15:07,670 +أطلع بعد أيه ترديبه، بس خلص المحاضرة، شربوا حاجة، + +175 +00:15:07,670 --> 00:15:12,230 +تمام؟ أهم حاجة أنا عندي يا أبو حمزة، شايف أن ال + +176 +00:15:12,230 --> 00:15:15,930 +LCD أن يكون كله عليها ديك، مايكونش النص جاسما في + +177 +00:15:15,930 --> 00:15:20,150 +النص، يعني أنت بتجيس أكم سانتي و بتزيح أكم سانتي، + +178 +00:15:20,150 --> 00:15:23,910 +بحيث هذا الطرف تبع الإضاءة، الإضاءة يكون في النص، + +179 +00:15:23,910 --> 00:15:28,850 +فهمت عليها كيف؟بديكش تزيح ال LCD انت اللوح هذا + +180 +00:15:28,850 --> 00:15:32,210 +شايف اللوح عبارة عن نصين شايف النص ال بين و هم هذا + +181 +00:15:32,210 --> 00:15:40,490 +النص بيكون بالظبط على حدفة الفرق طيب + +182 +00:15:40,490 --> 00:15:47,170 +يعني الألواح اللي بده نزح مش ال LCD تمام ايه + +183 +00:15:47,170 --> 00:15:48,410 +السفصار يا بنات اسأله + +184 +00:15:54,410 --> 00:16:01,110 +احكي .. ماله .. اه اه احكي احكي .. + +185 +00:16:01,110 --> 00:16:05,510 +هه .. ارجع من أول .. ارجع من أول .. بهمش .. لا + +186 +00:16:05,510 --> 00:16:09,030 +ضاير .. لا ضاير .. اش مطلوب .. بدي القوة اللي على + +187 +00:16:09,030 --> 00:16:13,340 +الشحنة .. القوة اللي على الشحنة .. ميحن ..الشحنة + +188 +00:16:13,340 --> 00:16:18,500 +هذه اكشفاها قولت في عندي طرقتين جمعت F بتساوي Q في + +189 +00:16:18,500 --> 00:16:22,220 +ال E قولت والله خدتوا هذا القانون صح ولا لأ؟ قولت + +190 +00:16:22,220 --> 00:16:27,660 +هذه E بتدياها E عند أي نقطة عند النقطة اللي تبعت + +191 +00:16:27,660 --> 00:16:30,420 +الشحنة ما هي القانون هيك بيقول صح ولا لأ؟ هذه + +192 +00:16:30,420 --> 00:16:32,260 +الطريقة اللي قاعد بشتغل فيها المجال اللي هيكون من + +193 +00:16:32,260 --> 00:16:38,100 +الصدر للوهلة الأولى أن هذه الشحنة مفيش غيرها لو + +194 +00:16:38,100 --> 00:16:43,210 +انا حاطيت شحنة ومفيش غيرها عليها قوة؟ لالأ، إذا + +195 +00:16:43,210 --> 00:16:46,430 +إيش اللي صار؟ بيقوللي هذه الشحنة عملت في المادة + +196 +00:16:46,430 --> 00:16:50,310 +اللي جنبها polarization هذا ال polarization ولد + +197 +00:16:50,310 --> 00:16:55,550 +مجال، إذا المجال بطل zero لو المادة مش polarized، + +198 +00:16:55,550 --> 00:16:58,370 +هذا الجلم يعني هو المجال الاستقطاب للمادة هو + +199 +00:16:58,370 --> 00:17:02,650 +المجال نتيجة الاستقطاب، طب مين يخلى المادة تستقطف؟ + +200 +00:17:02,650 --> 00:17:08,090 +الشحنة الشحنة استقطبت واتأثرت باللي عملته إذا تمام + +201 +00:17:08,090 --> 00:17:12,700 +هيك، لكن لو أنا عنده ..بهو عليك ايه؟ لأن لو هذه + +202 +00:17:12,700 --> 00:17:15,440 +لحالها موجودة، مافيش حواليها حاجة مشحونة، كدهش + +203 +00:17:15,440 --> 00:17:19,840 +القوة اللي عليها؟ مافيش، لأنه مافيش حاجة تقول فيه + +204 +00:17:19,840 --> 00:17:23,600 +هنا مجال، تمام؟ إذا معناته أنا إيش بدي أوجد؟ بدي + +205 +00:17:23,600 --> 00:17:27,080 +أجيب مجال الاستقطاب، حلو الاستقطاب يعني من + +206 +00:17:27,080 --> 00:17:29,700 +الـdirect material، كل شرط الأربع على هذا الموضوع + +207 +00:17:29,700 --> 00:17:34,500 +قلنا بدل ما تعقد حالك في الرياضيات، قالوا بتتحول + +208 +00:17:34,500 --> 00:17:38,060 +المادة المستقطبة إلى نوعين من الشحنات رو بي و + +209 +00:17:38,060 --> 00:17:42,860 +سيجما بيTamam؟ رو بي طلعت Zero لأنه مافيش شحنات + +210 +00:17:42,860 --> 00:17:45,980 +Free وبالتالي رو بي Zero وأغلبها طلعت رو بي Zero + +211 +00:17:45,980 --> 00:17:52,100 +إيه طلع عندك؟ Sigma B إذا معناته هذا المجال جاي من + +212 +00:17:52,100 --> 00:17:56,040 +شحنات على السطح لأنه Sigma على سطح الدا إلكتريك + +213 +00:17:56,040 --> 00:18:01,570 +حلو؟ هجيت سطح الدا إلكتريك وحط القانون هداكبتجيب + +214 +00:18:01,570 --> 00:18:06,130 +مجال و كأنه سؤال سؤال كتالي هذا السطح الخط اللي + +215 +00:18:06,130 --> 00:18:10,490 +أنا عامله عليه شحنات sigma هجيت هذه ال sigma بتولج + +216 +00:18:10,490 --> 00:18:15,040 +مجال ولا بتولج مش مجال؟ بتولج، قاعد بحسب فيه؟لما + +217 +00:18:15,040 --> 00:18:19,000 +جيبت الـ Sigma، جيب بالك لسه عقولك كمان شغلة، انه + +218 +00:18:19,000 --> 00:18:20,580 +هاد الـ Sigma من وين بتجيبها؟ من أيه ال + +219 +00:18:20,580 --> 00:18:24,040 +polarization؟ و ال polarization مش معطنية، طب + +220 +00:18:24,040 --> 00:18:27,220 +أجيبه، تمام؟ اللي هي الخطوات الأولانية اللي + +221 +00:18:27,220 --> 00:18:32,200 +عملتها، أما أنا وصلت الآن، أنه آهان في Sigma + +222 +00:18:32,200 --> 00:18:39,260 +polarizedbound بدي مجالها عشان بدي مجالها ايه كهد + +223 +00:18:39,260 --> 00:18:43,420 +.. كهد السطح مشحون .. يقول الـ D cubed سوى sigma + +224 +00:18:43,420 --> 00:18:45,700 +DS .. إيش DS؟ + +225 +00:18:48,810 --> 00:18:56,070 +عنصر في السطح قُلت هذا عنصر اللي هو SDSD5 السطح + +226 +00:18:56,070 --> 00:19:01,510 +مازال على السطح إحداثياته روهان لأنه على السطح Z + +227 +00:19:01,510 --> 00:19:07,830 +جديش؟ Zero صحيه كله لأ؟ تمام؟ عشان هذا القانون + +228 +00:19:07,830 --> 00:19:13,390 +الغالبان في R script غصم العلم بـDR وR شرطةأقل + +229 +00:19:13,390 --> 00:19:17,230 +إحداث النقطة و أقل شرط إحداث عنصرك اللي اختارته + +230 +00:19:17,230 --> 00:19:23,990 +والعنصر اللي اختارته على السطح تاني + +231 +00:19:23,990 --> 00:19:29,410 +شوية تاني شوية شايفة السطح هذا طاولة اعتبرها قاعدة + +232 +00:19:29,410 --> 00:19:33,090 +استوانة و اين بجيت الاستوانة فوق عشان نقول + +233 +00:19:33,090 --> 00:19:37,830 +الـsyndical coordinates أي نقطة على الطاولة وهي + +234 +00:19:37,830 --> 00:19:40,850 +منتصف الطاولة هي ال origin تبعك أي نقطة على + +235 +00:19:40,850 --> 00:19:44,060 +الطاولة دي بليها إحداثياتهاماذا يعني إحداثياتها؟ + +236 +00:19:44,060 --> 00:19:46,800 +بُعتها عن الـorigin ولا لا؟ أي نقطة على الطاولة + +237 +00:19:46,800 --> 00:19:55,560 +إيش بتكون؟ روح بأي اتجاه روحها أي + +238 +00:19:55,560 --> 00:19:58,540 +أنصر على الطاولة بتكون إحداثياته + +239 +00:20:02,310 --> 00:20:06,170 +بين الـ Q ما هو العنصر صار الـ Q مشان أخدت عنصر؟ + +240 +00:20:06,170 --> 00:20:09,830 +هذه الـ Q لما أقول هذه كلها مشهورة وجوهة عنصري، + +241 +00:20:09,830 --> 00:20:12,950 +معناته هي الـ Q و ال origin طبعا ليش لما أقول + +242 +00:20:12,950 --> 00:20:17,190 +إحداثيات الـ R شرط هي إحداثيات الشحنة، يعني بين ال + +243 +00:20:17,190 --> 00:20:23,070 +origin والشحنة، صح ولا لأ؟ + +244 +00:20:23,070 --> 00:20:28,490 +اسأله طيب + +245 +00:20:29,290 --> 00:20:33,330 +هذه انعرفت هال gate بدي أجيب ال magnitude تبعتها + +246 +00:20:33,330 --> 00:20:38,330 +دي دي تربيع زاد اس تربيع صحيح ولا لأ؟ و hand في + +247 +00:20:38,330 --> 00:20:41,830 +المقام بدي أقول دي باتجاه ال K و S باتجاه ال S صح + +248 +00:20:41,830 --> 00:20:45,770 +ولا لأ؟ طيب هذا كله الكلام المخربش بدي أشوف لون + +249 +00:20:45,770 --> 00:20:49,750 +الموصل معايا بعد ما أعملت جيب ال sigma وبالتالي + +250 +00:20:49,750 --> 00:20:54,950 +بقول هذه بعدين بنجعلهاالان لكي نجد القوة في الـ Q + +251 +00:20:54,950 --> 00:20:58,610 +اللي انا بحكيه من أول عشان نجيب ال force نريد ان + +252 +00:20:58,610 --> 00:21:02,650 +نجد الـ electric field في موقع الـ Q بدي اشد + +253 +00:21:02,650 --> 00:21:06,950 +المجال عند النقطة هذه اللي هي موضع الـ Q و أي + +254 +00:21:06,950 --> 00:21:12,670 +قانون استخدمت القانون هذا دي + +255 +00:21:12,670 --> 00:21:16,530 +Q بيستوي سيجما دي A طبعا هنا في هذا غلط هذا غلط + +256 +00:21:16,530 --> 00:21:18,650 +عشان تلاعبكم مش موجود هذا قرأ script و هذا قرأ + +257 +00:21:18,650 --> 00:21:22,970 +script فهذه واحدة منهم غلط يعني زيادة مش غلطأصلا + +258 +00:21:22,970 --> 00:21:27,750 +مش موجود أريح تمام أنا حطيتها زي ما قلت حلو الآن + +259 +00:21:27,750 --> 00:21:32,590 +شايفين اللي هي ال R هذه إيه صارت؟ D في الجهة ال Z + +260 +00:21:32,590 --> 00:21:41,310 +نقص S في الجهة ال S R نقص R شرطة على هذه الآن هذه + +261 +00:21:41,310 --> 00:21:52,580 +إيه يا نور؟ S مش هيك؟بديها كامل الأولى بدي أكملها + +262 +00:21:52,580 --> 00:21:55,820 +.. طلعوا على التانية كاملوها اللي هي مشد دى باتجاه + +263 +00:21:55,820 --> 00:22:02,560 +الزد و أس باتجاه الأسهات بدي أكمل التانية في + +264 +00:22:02,560 --> 00:22:06,840 +أس أسهات زينة + +265 +00:22:06,840 --> 00:22:15,820 +بنتقع طب بدي أكمل هى هدى و هى هدى بدي أكمل ليش؟ + +266 +00:22:17,930 --> 00:22:20,570 +طب و لا لا بقى كاملة مابقفش أصل منها، أقولك إيش .. + +267 +00:22:20,570 --> 00:22:24,650 +إيش .. إيش تتكامل المقا .. تفضل المقا؟ و هي الأس؟ + +268 +00:22:24,650 --> 00:22:31,790 +مش هذي مشكلتي؟ وينها؟ و هي؟ طب الأس تربيعكي برضه + +269 +00:22:31,790 --> 00:22:35,110 +مش مشكلة، أنا مش هذي اللي بدور عليه، الأس هذ .. + +270 +00:22:35,110 --> 00:22:39,130 +بنفع تطلعه برا التكامل؟ + +271 +00:22:39,130 --> 00:22:44,030 +إيش بتحولوه؟أحاولوا أنا وإياكم اللي لـ C ماعرف + +272 +00:22:44,030 --> 00:22:50,410 +نسمح ننسوه أحاولوا S hat بيسوي cos ف I ذات sin ف J + +273 +00:22:50,410 --> 00:22:55,770 +I و J بيطلحهم برا التكامل طب يللا نكمل cos ف D ف + +274 +00:22:55,770 --> 00:23:04,870 +من 0 ل 2π طبعا ليش؟ إيش تكامل cos ف؟ تكامل cos sin + +275 +00:23:04,870 --> 00:23:11,980 +سن سفر؟ سن اتنين باي؟ روحطيب، ان كامل sin فاي، ايه + +276 +00:23:11,980 --> 00:23:22,100 +تكامل؟ cos كوساين السفر؟ كوسان الأتنين باي؟ + +277 +00:23:22,100 --> 00:23:30,960 +واحد نقص واحد، إذن هذا روح كله اللي مغلبك في + +278 +00:23:30,960 --> 00:23:35,220 +التكامل، هذا يروحمن الذى ضيّعه تكامل الـ Dφ ضيّعه + +279 +00:23:35,220 --> 00:23:38,780 +إذا هذا مالوش دعوة، إيش ضال عندي هذا؟ هذا سهل، في + +280 +00:23:38,780 --> 00:23:43,640 +أس و هنا في أس تربيع تكاملوا سهل صحيح ولا لأ؟ إذا + +281 +00:23:43,640 --> 00:23:46,840 +بيقول it is clear that only the z component that + +282 +00:23:46,840 --> 00:23:49,680 +survives التاني روح، عرفتوا ليش روح؟ لمش كاتبوا + +283 +00:23:49,680 --> 00:23:55,920 +كيف ليش روح؟ لأنه cos φ وsin ف بيروحوهم تمام بضغطش + +284 +00:23:55,920 --> 00:24:03,970 +عن جليل EZ طلعت ال EZSDSD Phi وهذه هي وهذه وهذا + +285 +00:24:03,970 --> 00:24:08,830 +تكامل تعون ثانوية بيعرفوا يكملوه كملته وظبطت + +286 +00:24:08,830 --> 00:24:13,530 +النتيجة من صفر لمل نهاية مش أسهل منها فطلعت هي + +287 +00:24:13,530 --> 00:24:19,410 +القانون هذه EZ هي EZ إذا بدك ال force هي ال force + +288 +00:24:19,410 --> 00:24:22,590 +صح؟ + +289 +00:24:22,590 --> 00:24:26,430 +هي طلع ال force خلصت هذه الطريقة الأولى طلع ال + +290 +00:24:26,430 --> 00:24:26,790 +force + +291 +00:24:32,480 --> 00:24:36,980 +تطلعوا إيش طلع؟ هاي U تقول لي لو كانت Image + +292 +00:24:36,980 --> 00:24:41,800 +المفروض تطلع Q في Q شرطة على 2D تربية هي .. هاي 2D + +293 +00:24:41,800 --> 00:24:47,020 +تربية شايفين 2D تربية وينها؟ هايها وهاي K، مظبوط؟ + +294 +00:24:47,020 --> 00:24:52,240 +معناته، هذه Q تربية، يعني أنا Q Q، هذه تقدر تقول + +295 +00:24:52,240 --> 00:24:57,820 +عنها Q شرطة ولا لا؟ الأصل الأصل تكون الـQ شرطةلو + +296 +00:24:57,820 --> 00:25:00,500 +بيتحل بال image انت عارف ال Q شرطاش اللي تطلع معاك + +297 +00:25:00,500 --> 00:25:03,700 +لازم يطلع معاك هنا إذا اللي لازم ال Q شرطة تطلع + +298 +00:25:03,700 --> 00:25:11,240 +معاك هذه هي عبارة عن .. sorry عشان كده احنا جبنا Q + +299 +00:25:11,240 --> 00:25:18,460 +بالسالب كاي E على كاي E زائد 2 مظبوط ولا لأ؟ هيك + +300 +00:25:18,460 --> 00:25:22,780 +لازم تطلع ال image يتشارج نجرب تطلع معانا هيك ولا + +301 +00:25:22,780 --> 00:25:26,220 +لأ كيف بدي أحلها بال image يتشارج؟ طبعا هذا كله + +302 +00:25:29,080 --> 00:25:32,040 +الproblem can be solved using the method of images + +303 +00:25:32,040 --> 00:25:37,720 +ال image خدناها شطرة ثلاثة صح ولا لأ طبعا طو + +304 +00:25:37,720 --> 00:25:40,200 +الشباب بيحكوا عن امتحان الامتحان خلاص سبتنا عام + +305 +00:25:40,200 --> 00:25:44,780 +2014 الدكتور ناصر خلا عام عشر اظن عشان احداش ايه + +306 +00:25:44,780 --> 00:25:49,920 +جهزة تمامما هو بعد ما انتوا حاكيتولي لجيت بارح + +307 +00:25:49,920 --> 00:25:53,800 +جايين يوفد من الشباب ب 12 عشرة ليش؟ قال طلع ال + +308 +00:25:53,800 --> 00:25:56,840 +classic يوم 11 هم جايين الشباب، قولتلهم المعلومة + +309 +00:25:56,840 --> 00:26:01,260 +عرفتها انا منكم مش منكم انه 11، قولتلهم بس مرضه 11 + +310 +00:26:01,260 --> 00:26:04,890 +مش هيضلت معاكم لإنه في إجازةعلى كل أحوان ثبتنا 14 + +311 +00:26:04,890 --> 00:26:08,130 +لما راحوا لجلد الدكتور ناصر 11 إيجازة فخلّها 10 + +312 +00:26:08,130 --> 00:26:13,950 +فظبطت إنه 14 خلاص نرجع لإيش جاب سنة امتحان مين بدي + +313 +00:26:13,950 --> 00:26:16,630 +أجيب فيه سؤالين تلاتة ولا أربعة؟ الحين بدي أجيب + +314 +00:26:16,630 --> 00:26:20,090 +تلاتة أسئلة صح ولا لأ؟ قولكم مين أشمل تلاتة ولا + +315 +00:26:20,090 --> 00:26:23,410 +أربعة؟ + +316 +00:26:23,410 --> 00:26:27,380 +طيب و أربع إيش بنسوي فيه قاعد؟احنا قاعدين بنضيف، + +317 +00:26:27,380 --> 00:26:32,020 +بنعيد تلاتة الاصل لإن يكون أربعة هو عليه سواء إيه + +318 +00:26:32,020 --> 00:26:35,220 +لإنه إنت إيش بدك يديه في تلاتة، عد من أربعة ما + +319 +00:26:35,220 --> 00:26:40,040 +تبيتيه في تلاتة بالظبط + +320 +00:26:40,040 --> 00:26:44,980 +تمام خلينا نشوف ال image لإن ال image أخدناها في + +321 +00:26:44,980 --> 00:26:50,990 +تلاتة أذكركم مش هو ال image ال imageقال لي شحنة و + +322 +00:26:50,990 --> 00:26:57,130 +سطح .. شحنة و سطح يستبدل بشحنة و image للشحنة + +323 +00:26:57,130 --> 00:27:01,310 +بيصير السؤال عندك ما هو الشحنة و السطح؟ بيصير عندك + +324 +00:27:01,310 --> 00:27:04,950 +شحنة و شحنة .. شحنة و شحنة طيب هذه الشحنة ال image + +325 +00:27:04,950 --> 00:27:07,750 +إيش هي .. كيف بيك تعملها؟ قال لي أهم حاجة بيك + +326 +00:27:07,750 --> 00:27:11,010 +تحطها .. تحطهاش في المنطقة اللي أنت بتوجد فيها شدة + +327 +00:27:11,010 --> 00:27:15,690 +المجال صح ولا لازم في المنطقة التانيةمقدارها + +328 +00:27:15,690 --> 00:27:18,590 +وبعدها بيحددوا الـ Boundary Conditions صح ولا لأ؟ + +329 +00:27:18,590 --> 00:27:22,830 +حلو إذن الproblem can be solved using the method + +330 +00:27:22,830 --> 00:27:29,290 +of images by replacing الصطيح by images charges + +331 +00:27:29,290 --> 00:27:34,790 +طيب، بدك boundary conditions، قالك grounded؟ما + +332 +00:27:34,790 --> 00:27:38,230 +جالكاش grounded و قاللي ما هو هذا سطح بفصل بين two + +333 +00:27:38,230 --> 00:27:41,210 +media فيه عند ال boundary condition اللي بنعرفها + +334 +00:27:41,210 --> 00:27:48,590 +دي 1 n نقص 2n بيستوي sigma free ذاكرينها مش هيV + +335 +00:27:48,590 --> 00:27:50,670 +المهم الـ Boundary Condition أنا كنا بقول معلومة + +336 +00:27:50,670 --> 00:27:53,250 +عشان تريحنا، ماكناش ماخدين الضي إلكتريك و الشغلات + +337 +00:27:53,250 --> 00:27:56,910 +هذه، تمام؟ المهم أن يكون فيه Boundary Condition، + +338 +00:27:56,910 --> 00:28:00,270 +أهم حاجة، أكتر من .. أشمر من أن يكون V .. لو V + +339 +00:28:00,270 --> 00:28:03,830 +معلومة، بتكون أحسن أسهلي، لأنه هذا الـ Boundary + +340 +00:28:03,830 --> 00:28:07,630 +Condition مثبت، تمام؟ فدي واحد إن نقص دي اتنين إن + +341 +00:28:07,630 --> 00:28:11,190 +بيستوي Sigma 3، مافيش Sigma 3 إذا أنا سفروالـ D + +342 +00:28:11,190 --> 00:28:14,370 +بيسوي إبسلون في الـ E، ذاكرينها؟ فوق في إبسلون الـ + +343 +00:28:14,370 --> 00:28:17,170 +Note و تحت فيه إبسلون لأن هو بيقول لي فوق فراغة و + +344 +00:28:17,170 --> 00:28:20,870 +تحت فيه Material وفيه كمان condition اللي هو هذا + +345 +00:28:20,870 --> 00:28:24,190 +V1 + +346 +00:28:24,190 --> 00:28:28,030 +بيسوي V2 طبعا هذا الكلام هذا و هذا على السطح يعني + +347 +00:28:28,030 --> 00:28:32,470 +عن Z بتسوي 0 اتطبعوا هذا إيش بيقول؟ بيقول واحد و + +348 +00:28:32,470 --> 00:28:37,260 +اتنين، واحد فوقو اتنين تحت يعني انت بداخل تجيب شدة + +349 +00:28:37,260 --> 00:28:41,420 +المجال فوق و تحت غصب عنك صح؟ ايش هو بيقول ليه في + +350 +00:28:41,420 --> 00:28:45,820 +ال image؟ اذا بداخل تجيب المجال فوق، ال image + +351 +00:28:45,820 --> 00:28:48,980 +بيكون تحت و اذا بداخل تجيب المجال تحت، وين ال + +352 +00:28:48,980 --> 00:28:54,320 +image بيكون؟ فوق تمام؟ واحدة واحدة to find v1، + +353 +00:28:54,320 --> 00:28:57,660 +بداخل تجيب شدة المجال فوق، هيا الرسمة مهلة، بداخل + +354 +00:28:57,660 --> 00:29:02,990 +تجيب شدة المجال فوق، و انا فوق يعنيعند أي نقطة + +355 +00:29:02,990 --> 00:29:08,070 +فوق، هلاقي فوق، هذي مش فوق ولا لأ؟ بدي هنا و إيه + +356 +00:29:08,070 --> 00:29:11,410 +بدي أحط ال image؟ تحت، عشان تظبط معاك بدي أحطها + +357 +00:29:11,410 --> 00:29:21,830 +هنا و هتطلع معاك برضه دي، بس Q شرطة مش نفسها Q لأن + +358 +00:29:21,830 --> 00:29:26,730 +V من السفر، و هد ضايق الكمام مش هوا طيب، إذا كيف + +359 +00:29:26,730 --> 00:29:28,990 +فرق الجهود؟ جميعها عبارة عن two-pointed charges + +360 +00:29:30,340 --> 00:29:36,080 +عندك انت استبدلت كل سؤالك بشحنة وشحنة مش عندك V K + +361 +00:29:36,080 --> 00:29:42,000 +Q1 على R1 زاد Q2 على R2 مش هال ال botched charges + +362 +00:29:42,000 --> 00:29:50,980 +ابدأ اشتغل خلاص هال V1 يلّا نجيبها هدا هي بدي R1 + +363 +00:29:50,980 --> 00:29:55,580 +script هالجيت الله خلّق أمونا هدوة في ال R script + +364 +00:29:55,580 --> 00:30:04,630 +هاديوحدة واحدة هاي R واحد بتساوي R ناقص R شرطة + +365 +00:30:04,630 --> 00:30:08,690 +دلبرك أنا النقطة حددتها يا هودا إياك تحرب بتهيأ + +366 +00:30:08,690 --> 00:30:17,310 +الجيل بدي أسألك إيه؟ آه كاملي ده + +367 +00:30:17,310 --> 00:30:25,150 +ال R كاملي بس النقطة على الطاولة يا هودا النقطة + +368 +00:30:25,150 --> 00:30:34,250 +على الطاولةأحكي يا راشا تحكي صح، هتخافيش هل جيت + +369 +00:30:34,250 --> 00:30:39,770 +اللي انت حكيت إيه؟ هل Z بتساوي سفر؟ لأ، هذه النقطة + +370 +00:30:39,770 --> 00:30:44,670 +هيها، هي إحدى في إيادها، مش هيها، هذه عبارة عن + +371 +00:30:44,670 --> 00:30:55,130 +بعدها نبعدها، فهذه R بتساوي SSH زي ZKH صح؟ دخلت + +372 +00:30:55,130 --> 00:31:06,950 +المعلومة؟ أكيدتمام بدي R شرطة اللي هي هادى اذا بدل + +373 +00:31:06,950 --> 00:31:16,530 +هادى حطيت SS hat زي ال Z K hat ناقص دي + +374 +00:31:16,530 --> 00:31:25,680 +ال R اتغيرت للتانيةمش هدى R هدى واحد R اتنين شرطة + +375 +00:31:25,680 --> 00:31:31,340 +تغيرت هدى النقطة تغيرها لأ + +376 +00:31:31,340 --> 00:31:38,440 +وR اتنين مظبوط + +377 +00:31:38,440 --> 00:31:44,920 +هيك وبالتالي واحدة منهم Z نقص D عشان K K وواحدة Z + +378 +00:31:44,920 --> 00:31:46,540 +زائد D طبعا + +379 +00:31:57,170 --> 00:32:03,670 +مظبوط هك؟ طبعا عوّض فوق، عوّض نهيجة هدى V1، بدي + +380 +00:32:03,670 --> 00:32:09,890 +V2، إيش يعني V2؟ بديك الجهود تحت، صح؟ وين بديك تحط + +381 +00:32:09,890 --> 00:32:16,210 +ال image؟ فوق؟ ال image فوق، طيب، وفي الأصلية هذه، + +382 +00:32:16,210 --> 00:32:18,510 +لو طلعتوا على ال symmetry عشان تظبط معايا، المفروض + +383 +00:32:18,510 --> 00:32:19,530 +ال image هحطها هنا كمان + +384 +00:32:23,190 --> 00:32:26,470 +تمام؟ الـ Q و Q شرطة هتكون جانب بعض التنتين هذول + +385 +00:32:26,470 --> 00:32:30,010 +مع بعض ممكن أحطهم أسميهم أيه و رأي حالك بالساوة Q + +386 +00:32:30,010 --> 00:32:35,030 +شرطة زي Q أنت بدك الـQ شرطة إذا عرفت الـQ شرطة + +387 +00:32:35,030 --> 00:32:40,430 +بتعطي الـQ دبل شرطة أو العكس صحيح فاعتبر أنه هي و + +388 +00:32:40,430 --> 00:32:44,250 +الـM شحنة واحدة و بس الجهد جاي من وين؟ من شحنة + +389 +00:32:44,250 --> 00:32:49,070 +واحدة بس بس هل هي كيلو الأصفية؟ مجموعة التنتين لكن + +390 +00:32:49,070 --> 00:32:53,670 +بريحني أنك انت جايطبعا .. ماشي انا بدي V .. خلصت + +391 +00:32:53,670 --> 00:32:56,110 +ال V1 يا دانيل .. خلصنا .. هجيت عشان انا بدي + +392 +00:32:56,110 --> 00:32:59,450 +اطبقها .. طبعا .. ايش اللي خلانا انها يجبر على V2؟ + +393 +00:32:59,450 --> 00:33:02,030 +اتنين .. اتنين .. بدي اطبق ال boundary condition + +394 +00:33:02,030 --> 00:33:04,730 +غصب عني .. و في ال boundary condition قال لي لازم + +395 +00:33:04,730 --> 00:33:07,750 +ال E تكون فوق .. طبعا أنا قولتلكم من أول .. انا + +396 +00:33:07,750 --> 00:33:13,010 +عارف فيه مائة ألف سؤال في دماغكم .. ايش اللي عندك + +397 +00:33:13,010 --> 00:33:18,210 +سؤال اللي انت .. اتأسأل هل احنا من قبل V1 ماجيبناش + +398 +00:33:18,210 --> 00:33:23,800 +Q تحت .. اعتبرناش من تان ..إنه Q شرط تاني فانت + +399 +00:33:23,800 --> 00:33:27,220 +تقول خلّيها تتنبل بصراحة عكس إنه image عشان هيك + +400 +00:33:27,220 --> 00:33:30,820 +إنه ما اعتبرنها image هو احنا أرجع بال .. بقرا لل + +401 +00:33:30,820 --> 00:33:36,040 +image قولناش يستبدل ال system بنفس الشحنة الأصلية + +402 +00:33:36,040 --> 00:33:40,680 +زائد image إلها، صح؟ هجيت .. هل ال image هتكون جنب + +403 +00:33:40,680 --> 00:33:43,960 +الشحنة الأصلية أو في المنطقة التانية؟ الشحنة + +404 +00:33:43,960 --> 00:33:47,980 +الأصلية لغيتها ولا خليتها؟ الأصلية طبعا إذا موجودة + +405 +00:33:48,560 --> 00:33:51,960 +هرجيت أنا بدي أجيب V2؟ بدي أبدل ال system؟ لأ أنا + +406 +00:33:51,960 --> 00:33:57,760 +قصدي هلقيتها في V1؟ في V1 مش احنا كنا معقدلين في + +407 +00:33:57,760 --> 00:34:02,100 +السؤال من أوله .. Q شرطة .. و في تحت Q شرطة؟ أه + +408 +00:34:02,100 --> 00:34:06,300 +طيب هلقيت لما احنا نيجي نحسب، هنحط Q شرطة برضه + +409 +00:34:06,300 --> 00:34:12,380 +حاسيب Q شرطة زي الكلمة الموجودة؟ زي فاق يعني؟لأ، + +410 +00:34:12,380 --> 00:34:14,840 +الأصلية الموجودة تبقى موجودة ولا مش موجودة؟ + +411 +00:34:14,840 --> 00:34:17,260 +الموجودة هو الشحنة الـ Image، تبقى تانية الـQ + +412 +00:34:17,260 --> 00:34:20,820 +شرطة، خلاص الـQ شرطة، أنا بدي أحط الأصلية كمان؟ + +413 +00:34:20,820 --> 00:34:24,340 +بدي أحط الأصلية كمان في محل الـImage؟ الأصلية ما + +414 +00:34:24,340 --> 00:34:28,340 +هي أصلية، هو الأصلية اللي حد بلعب فيها، الـQ شرطة + +415 +00:34:28,340 --> 00:34:31,860 +ما هي موجودة، آه، لما تيجي فوق الأصلية، أبغى + +416 +00:34:31,860 --> 00:34:36,660 +أنسيهاالتانية ال image الأولى خلصناها انت هل جيت + +417 +00:34:36,660 --> 00:34:40,220 +insert للفرع الأول بقولك اوجد شدة المجال فوق اوجد + +418 +00:34:40,220 --> 00:34:45,300 +شدة المجال فوق الاصلية موجودة هل شدة المجال اللي + +419 +00:34:45,300 --> 00:34:49,680 +بتجيبيها فوق انك تعوب ال image اللي تحت لا انت + +420 +00:34:49,680 --> 00:34:52,800 +جاعة بتجيب كل واحدة على حدة فبقولك اوجد شدة المجال + +421 +00:34:52,800 --> 00:34:56,160 +فوق وين ال image بيكي تحطيها اوجد شدة المجال تحت + +422 +00:34:56,160 --> 00:34:59,880 +وين بيكي تحط ال image فوق بيكي تحط الحاجة تحت اذا + +423 +00:34:59,880 --> 00:35:02,740 +ان كي شرطة هذه او واحد هذه خلصنا منها + +424 +00:35:05,850 --> 00:35:12,910 +تمام؟ إذا معناته هنا to find V2 we propose an + +425 +00:35:12,910 --> 00:35:17,390 +immediate charge Q شرطة located a distance D above + +426 +00:35:17,390 --> 00:35:20,290 +the plane in region 1 لأن أنا بجيج بعد in region 2 + +427 +00:35:20,290 --> 00:35:23,790 +the immediate charge together with the original + +428 +00:35:23,790 --> 00:35:28,650 +one بدي عرضه مثلا بالرمز Q double شرطة تمام؟ قال + +429 +00:35:28,650 --> 00:35:32,510 +إذا معناته جهود من وين جا؟ جا من الشحنة واحدة طبعا + +430 +00:35:32,510 --> 00:35:37,350 +الشحنة واحدةاركسكريبت بقعته زي R1 script صح ولا + +431 +00:35:37,350 --> 00:35:40,850 +لأ؟ هاي V2 قال لي خلاص هاجي اتطبخ ال boundary + +432 +00:35:40,850 --> 00:35:43,170 +condition ايش هو كان يجيب دي Q شرطة و Q double + +433 +00:35:43,170 --> 00:35:46,290 +شرطة ال Q شرطة الأولانية و Q double شرطة طبعة + +434 +00:35:46,290 --> 00:35:50,330 +التانية ال Q double شرطة هي عبارة عن الأصلية زائد + +435 +00:35:50,330 --> 00:35:54,390 +صح ولا لأ تم ايش هي ال boundary condition؟ apply + +436 +00:35:54,390 --> 00:35:57,130 +the boundary conditions to find the values of the + +437 +00:35:57,130 --> 00:36:01,890 +immediate charges ايش هي أول واحدة؟ epsilon not E1 + +438 +00:36:04,120 --> 00:36:09,620 +ناقص Epsilon E ب E2 مظبوط ولا لأ؟ والـ E هي + +439 +00:36:09,620 --> 00:36:13,640 +partial V على partial Z لأن Z هو الـ Normal صح؟ + +440 +00:36:13,640 --> 00:36:18,680 +لأن E1 N و E2 N بدل الـ E1 حطيت partial V على + +441 +00:36:18,680 --> 00:36:25,160 +partial Z بتساوي Zero طيب كيف بدي اشتق V1 و V2؟ + +442 +00:36:25,160 --> 00:36:31,280 +هاي V1 اشتقوا بالنسبالي Z هذا + +443 +00:36:31,280 --> 00:36:35,230 +المقام اللي فيه Zأُس نُص لما أفاضه بيصير أُس سالب + +444 +00:36:35,230 --> 00:36:40,710 +تلت ع اتنين وفي سلب نُص تفاضه للتاخري اتنين زد نقص + +445 +00:36:40,710 --> 00:36:45,350 +دي وهذا اتنين زد زائد دي و بعدين يجب ان تضع زد + +446 +00:36:45,350 --> 00:36:49,450 +بساوي سفر عشان عندك سطح زد نقص دي عن زد بساوي سفر + +447 +00:36:49,450 --> 00:36:53,930 +بصي سلب دي وهذا زائد دي صح ولا لأ فلما دي اشتقت + +448 +00:36:53,930 --> 00:36:58,510 +وعملت الشغلات السهلة طلع هيك + +449 +00:37:04,340 --> 00:37:08,640 +بارشال V2 على بارشال Z سهل، لا توجد ثانوية واحدة، + +450 +00:37:08,640 --> 00:37:12,600 +فضلكه قال لي صوّلي هدول، طبعا لا تنسوش زد بتساوي + +451 +00:37:12,600 --> 00:37:15,900 +صفر زد بتساوي صفر، لما زد يتساوي صفر بهذا الترم هو + +452 +00:37:15,900 --> 00:37:21,310 +هذا الترم سهل زي بعت، بظبط؟ وهذا أخوهإذا المقامات + +453 +00:37:21,310 --> 00:37:26,290 +روحت بتبقى عندك طبعا هذه QD بالسالب وهذه QD + +454 +00:37:26,290 --> 00:37:30,830 +بالموجب وهذه QD صح؟ فلما تيجي تعمل و تاخد + +455 +00:37:30,830 --> 00:37:33,790 +الاعتبارات طلعت عندك هذه المعادلة Q نقص Q شرطة + +456 +00:37:33,790 --> 00:37:36,710 +بساوي Q double شرطة هذا أول boundary كنت أجي وإيش + +457 +00:37:36,710 --> 00:37:40,130 +ال boundary كنت أجي تاني؟ قال لي V1 بساوي V2 صح + +458 +00:37:40,130 --> 00:37:44,670 +ولا؟ لما حطيت V1 بساوي V2 طلعت هذه المعادلة خلصنا + +459 +00:37:45,790 --> 00:37:51,290 +هذه Q واحد وهذه معادلة Q ناقص Q شرطة بيساوي Q + +460 +00:37:51,290 --> 00:37:58,110 +double براي وQ زائد Q شرطة بيساوي E note على E Q + +461 +00:37:58,110 --> 00:38:03,690 +شرطة Q double شرطة مظبوط هيك ولا لأ؟ طبعا هذه E + +462 +00:38:03,690 --> 00:38:10,230 +note على E وهذه E R E note صح؟ فصارت واحد على E R + +463 +00:38:10,230 --> 00:38:15,230 +اجمعوا + +464 +00:38:17,060 --> 00:38:22,520 +أجمع طرفين المعادلتين اتنين Q بيسوا واحد زائد واحد + +465 +00:38:22,520 --> 00:38:28,520 +على YR Q double شرطة طلعنا Q double شرطة لما أطلع + +466 +00:38:28,520 --> 00:38:32,100 +Q double شرطة بقدر أطلع Q شرطة ولا لأ اعملناها و + +467 +00:38:32,100 --> 00:38:36,620 +هذه شغلات سهلة طلعنا Q double شرطة و .. و .. و .. + +468 +00:38:36,620 --> 00:38:40,320 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +469 +00:38:40,320 --> 00:38:40,900 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +470 +00:38:40,900 --> 00:38:40,900 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +471 +00:38:40,900 --> 00:38:40,900 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +472 +00:38:40,900 --> 00:38:41,180 +و .. و .. و .. و .. و .. و .. و .. و .. و .. و .. + +473 +00:38:41,180 --> 00:38:45,190 +و .. و .. و .. و .. و .. و .. و .. و .. و .. وما + +474 +00:38:45,190 --> 00:38:52,990 +هي القوة؟ القوة بين q و q شرطة ان + +475 +00:38:52,990 --> 00:38:55,830 +في عندى انا image الـ q دبل شرطة بتأثرش ان انا جنب + +476 +00:38:55,830 --> 00:39:00,190 +ال q فبصير عندى note that q شرطة equal q b + +477 +00:39:00,190 --> 00:39:03,170 +الأولانية is in the force and q is now the force + +478 +00:39:03,170 --> 00:39:05,310 +between q and q شرطة + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CX5uu43Zp_E_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CX5uu43Zp_E_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..4ef77fced54576003c46ab18a4a1ab044e77a5f3 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CX5uu43Zp_E_postprocess.srt @@ -0,0 +1,1992 @@ +1 +00:00:20,790 --> 00:00:25,070 +طبعا اليوم ان شاء الله بنخلص هذا ال chapter عشان + +2 +00:00:25,070 --> 00:00:30,450 +يوم السبت نبدأ ب chapter 4 احنا جاعدين في اخر + +3 +00:00:30,450 --> 00:00:35,330 +طريقة بدنا نتعلمها عشان نجيب الجهد الكهربائي و هي + +4 +00:00:35,330 --> 00:00:39,430 +ال die ball method او ال multiple expansion وشوف + +5 +00:00:39,430 --> 00:00:45,650 +ان لو كان في عندى انا شحنةوشحنة هذه نقص Q وهذه + +6 +00:00:45,650 --> 00:00:50,030 +زادة Q بدا يجيب الجود عند نقطة R أبعد كتير عن .. + +7 +00:00:50,030 --> 00:00:55,530 +بعيدة كتير عن الشحنات R أكتر كتير من D لجينا أن V + +8 +00:00:55,530 --> 00:01:01,810 +تُعطى بهذه الصيغة P ضد ال R هات على R تربيع تمام + +9 +00:01:01,810 --> 00:01:08,450 +احنا بنعرف شغلة معينة أنه لما كنت انا أجيب الرد + +10 +00:01:08,450 --> 00:01:11,620 +إذا كنتوا ذاكرين الردسؤال الرد وسؤال ال disk + +11 +00:01:11,620 --> 00:01:15,800 +ذاكرينهم في حتة الأتنين لما كنت أجيب في الآخر نعمل + +12 +00:01:15,800 --> 00:01:18,940 +test بسيط كنا نقول لما أكون أنا بعيد كتير عن الرد + +13 +00:01:18,940 --> 00:01:25,000 +كيف يبين الرد؟ بيبين نقطة وبالتالي في الحالتين + +14 +00:01:25,000 --> 00:01:30,360 +أثبتت أن V في هذه الحالة بيصير Q على R صح ولا لا؟ + +15 +00:01:30,360 --> 00:01:37,500 +إيش هي Q هنا كانت؟ شحنات إيش؟ شحنات كل الرد كل ال + +16 +00:01:37,500 --> 00:01:43,030 +system يعني صح ولا لا؟في هام الاصل نفس الشيء لما + +17 +00:01:43,030 --> 00:01:45,810 +أكون أنا بعيد أنت تقول أنك بعيد كتير، الأصل يكون + +18 +00:01:45,810 --> 00:01:49,930 +نفس القانون، صح ولا لأ؟ يعني هو sure ما هو شحنجة + +19 +00:01:49,930 --> 00:01:53,970 +من بعيد، بس طالعش المشكلة من جمع ال total queue + +20 +00:01:54,630 --> 00:02:00,310 +zero تطلع تمام؟ فبصير يعني دي مشكلة انه انت طلعتها + +21 +00:02:00,310 --> 00:02:05,530 +هل هي zero بقول هي صغيرة لكن مش zero وبالتالي لازم + +22 +00:02:05,530 --> 00:02:08,070 +تكون عندك طريقة فانا طلعتها طلعت طبعا واحد بيقولي + +23 +00:02:08,070 --> 00:02:11,170 +هذه لما تكون كبيرة كتير مش برضه صغيرة ولا لا، اذا + +24 +00:02:11,170 --> 00:02:14,630 +في توافق لكن انك تقول zero يعني nothing مرات + +25 +00:02:14,630 --> 00:02:17,890 +بينفعش تقول zero تاخدك زي نحن لما نعمل expansion + +26 +00:02:17,890 --> 00:02:23,650 +again cosine ال X لما نعملها expansion ايش اولتين + +27 +00:02:23,650 --> 00:02:36,640 +بيجي؟الكوسايم أول term واحد والصين X صين + +28 +00:02:36,640 --> 00:02:38,040 +ال X عملولها Taylor expansion + +29 +00:02:45,630 --> 00:02:50,210 +صحيح؟ فإحنا بنقول لما X تكون صغيرة كتير، بنقولش + +30 +00:02:50,210 --> 00:02:54,830 +sin X بالساوية سفر، بنقولش sin X بالساوية X أو sin + +31 +00:02:54,830 --> 00:02:58,710 +θ بالسفر بالثيتا، صح ولا؟ بنقولش عنها Zero، تمام؟ + +32 +00:02:58,710 --> 00:03:01,370 +وبالتالي بناخد إيش؟ أول term، الباقين بيقولوا + +33 +00:03:01,370 --> 00:03:06,830 +هملهمفانا بدي واحد و cosine الثيتا لما ثيتا very + +34 +00:03:06,830 --> 00:03:10,150 +small بيكون واحد صح؟ و بنجيه من ال term التاني + +35 +00:03:10,150 --> 00:03:13,390 +فنفس العملية يعني انت في ال expansion بدك term + +36 +00:03:13,390 --> 00:03:16,990 +مايكوني ال zero بغض النظر صغير ولا كبير تمام هذا + +37 +00:03:16,990 --> 00:03:22,940 +خلصنا منهالان بيقوللي شحنتين وسميتهم دايبول و جيبت + +38 +00:03:22,940 --> 00:03:27,300 +جهدهم طب عندك ميت شحنة، اش تسوي؟ عندك مليون شحنة، + +39 +00:03:27,300 --> 00:03:31,800 +اش تسوي؟ شغل أوسع، عندك charge distribution عندك + +40 +00:03:31,800 --> 00:03:36,120 +كرة، كلها شحنات استوانة، كلها شحنات، اش تسوي؟ ايه + +41 +00:03:36,120 --> 00:03:40,500 +اللي هنجربش من السوي؟ اذا الان let us calculate + +42 +00:03:40,500 --> 00:03:43,740 +the electric potential due to unarbitrary charge + +43 +00:03:43,740 --> 00:03:50,950 +distributionهذا كل هذا اللي مظلّل شحناتي بدي بس + +44 +00:03:50,950 --> 00:03:54,310 +اللي بدي أرايحك أنا بدي جهود عند هذه النقطة ويعتبر + +45 +00:03:54,310 --> 00:03:58,690 +R much greater than R شرطة يعني أنا بدي أجيب + +46 +00:03:58,690 --> 00:04:01,990 +الجهود على النقطة بعيدة عن ال child distribution + +47 +00:04:01,990 --> 00:04:08,610 +انت فاكرنا هيك ولا؟ طيب نرجع لشبط رتنين قانون Colo + +48 +00:04:09,460 --> 00:04:14,180 +نقول V بسوء واحد على أربعة باقي أبسلون هو التكامل + +49 +00:04:14,180 --> 00:04:18,860 +رو دي تاو على R script، ساكرين هو؟ مش هذا قانون + +50 +00:04:18,860 --> 00:04:23,960 +كله؟ رو دي تاو على R script أو سيجما دي إيه على R + +51 +00:04:23,960 --> 00:04:27,640 +script أو لمدة دي L على R script، قليني يلّا + +52 +00:04:27,640 --> 00:04:34,940 +نعملهاأيش لجد؟ يقولك أنت عندك بس .. الآن معطي جديد + +53 +00:04:34,940 --> 00:04:40,440 +بقولك R أكبر كتير من R شرطة صح ولا لأ؟ أما هنا كنت + +54 +00:04:40,440 --> 00:04:44,940 +أقول عند أي R؟ هشتغل، عادي، هادي بقولي R much + +55 +00:04:44,940 --> 00:04:50,720 +greater than R شرطة R script ذاكرينها؟ اللي R ناقص + +56 +00:04:50,720 --> 00:04:54,780 +R شرطة، بدي أجيبها، قاللي هذه R وهذه R شرطة، R + +57 +00:04:54,780 --> 00:04:59,970 +script بدي أجيبها الـLaw of Cosineعملت مثلث using + +58 +00:04:59,970 --> 00:05:04,030 +the law of cosine نفس ما كنا نعمله نعمله بالتفصيل + +59 +00:05:04,030 --> 00:05:10,230 +و نطلع القانون R تربية ذات R شرطة تربية نقص اتنين + +60 +00:05:10,230 --> 00:05:13,790 +R R شرطة cos θ فيه مشكلة هذا ال law of cosine + +61 +00:05:13,790 --> 00:05:18,430 +يعرفه كله تمام يعني انا هي عندي مثلث بدي اجيب ال R + +62 +00:05:18,430 --> 00:05:24,060 +script بقول ربع حالي و ربع حاليناقص اتنين الأول و + +63 +00:05:24,060 --> 00:05:27,620 +dot التاني او R في R شرطة كوصينة ثيتا وهذا اللي + +64 +00:05:27,620 --> 00:05:30,260 +أعطيناه كمياتية بتقوه في سنة أولى في أول chapter + +65 +00:05:30,260 --> 00:05:36,780 +تمام قال لي بدي أظبطه بس شوية بدي أظبطه عدة و احنا + +66 +00:05:36,780 --> 00:05:41,020 +بالرايحين ال R script هذه الحلوة بتطلع R تربيح حد + +67 +00:05:41,020 --> 00:05:46,940 +عام مشترك ميحيك؟ لما تطلع عام مشترك بتصير R واحدة + +68 +00:05:46,940 --> 00:05:52,700 +اش هنا بصير واحد؟هي على R تربيع، هذي فيه R فوق، + +69 +00:05:52,700 --> 00:05:56,960 +بيصيروا R واحدة، دايما جالي هذا ال term كله، + +70 +00:05:56,960 --> 00:06:01,120 +شايفينه؟ كله، عشان انه كبير، بيدفع لدُقّه ايبسلون + +71 +00:06:01,120 --> 00:06:04,080 +واحد بيقول ايبسلون، احنا أخدناها في الكالكورس + +72 +00:06:04,080 --> 00:06:08,360 +الصغير، بظبطوا اللي دايما ايبسلون وDelta، هذي + +73 +00:06:08,360 --> 00:06:11,300 +الصغار، بيقول ما هو هذي الصغير، مانعش شرطي، مش هذي + +74 +00:06:11,300 --> 00:06:15,290 +أكبر كتير من هذيأذن هذا ترمي صغير وهذا صغير هذا + +75 +00:06:15,290 --> 00:06:19,330 +واحد منهم تربية اذا حطته هيك ليش بدك تعمل هيك؟ + +76 +00:06:19,330 --> 00:06:24,670 +بقوله بدي أعمل binomial expansion binomial + +77 +00:06:24,670 --> 00:06:29,810 +expansion تمام هل بدي أشوف ال binomial expansion؟ + +78 +00:06:29,810 --> 00:06:33,970 +with إبسلون زي ما حكينا الترم هذا كله إبسلون since + +79 +00:06:33,970 --> 00:06:36,410 +R much greater than + +80 +00:06:41,130 --> 00:06:48,970 +أحد نفق فيك كوكيا؟ أه هذا كان واقف فيك Since R + +81 +00:06:48,970 --> 00:06:53,090 +much greater than R شرطه بقولي إبسلون صغيرة إبسلون + +82 +00:06:53,090 --> 00:06:59,270 +صغيرة إذن الآن أنا بشغل على R script قلت واحد على + +83 +00:06:59,270 --> 00:07:05,880 +R script بتساوي واحد على هذاهي 1 على a وهذا في + +84 +00:07:05,880 --> 00:07:10,100 +المقام صار 1 زي ابسلون أس سلب نص لحد الآن مجمعين + +85 +00:07:10,100 --> 00:07:17,180 +معايا؟ 1 زي ابسلون سلب نص 1 زي ابسلون سلب نص بدي + +86 +00:07:17,180 --> 00:07:21,300 +اروح انا لل binomial expansion اللي اديتكم إياي + +87 +00:07:21,300 --> 00:07:22,080 +اللي هو ده هو + +88 +00:07:25,840 --> 00:07:30,300 +واحد نقص S أقص M بتسوي M Factorial على N Factorial + +89 +00:07:30,300 --> 00:07:33,300 +M نقص N Factorial في أبقى بين مش أنا بدي أكتب وحدة + +90 +00:07:33,300 --> 00:07:40,720 +عشان في منكم يمكن أول مرة يشوفوا M + +91 +00:07:40,720 --> 00:07:46,740 +Factorial على N Factorial M نقص N Factorial X أقص + +92 +00:07:46,740 --> 00:07:51,400 +N صح تمام + +93 +00:07:56,310 --> 00:08:03,370 +هذا اللي بدنا نستخدمه نفسه في انجيب expansion + +94 +00:08:03,370 --> 00:08:04,490 +بالطريقة هذه + +95 +00:08:17,520 --> 00:08:21,800 +طلعش أعمل it فانتجوا من 1 على R بدي أعمل expansion + +96 +00:08:21,800 --> 00:08:31,940 +هذه ال M أول حاجة M سالب نص هذا سالب نص هجيه سالب + +97 +00:08:31,940 --> 00:08:37,000 +نص وهذه سالب نص لأن هذه سفر بروحوا مع بعض فبصير + +98 +00:08:37,000 --> 00:08:45,050 +سفر factorial واحدx أُس صفر إذا أول term واحد صح + +99 +00:08:45,050 --> 00:08:51,510 +ولا لأ؟ إذا أول term هيو بعد كده بتصير هذه عبارة + +100 +00:08:51,510 --> 00:08:57,710 +عن هذه خلينا M M ناقص واحد factorial وهذه واحد + +101 +00:08:57,710 --> 00:09:03,450 +factorial وهذه x أس واحد مظبوط ولا لأ تمام هذه M + +102 +00:09:03,450 --> 00:09:06,890 +factorial وهذه M ناقص واحد factorial هذه كيف بتصير + +103 +00:09:06,890 --> 00:09:15,060 +هذه؟ مين فكها؟م في م ناقص واحد فاكتوريا ان هذه ما + +104 +00:09:15,060 --> 00:09:20,080 +حد روحت ايش بطلها دي؟ جدش M؟ سلب نص سلب نص لأن M + +105 +00:09:20,080 --> 00:09:24,980 +هي ده هي اللي هنا هي سلب نص فأيه السلب نص؟ تمام؟ + +106 +00:09:24,980 --> 00:09:31,500 +بعدين X أُص واحد اللي هي إبسلون ال X اللي عندي + +107 +00:09:31,500 --> 00:09:35,220 +إبسلونبعد كده بيجي ال term اللي وراه بقعد كده بيجي + +108 +00:09:35,220 --> 00:09:38,280 +ال term اللي وراه، هيك بيفك، بس عشان تتذكروا كيف + +109 +00:09:38,280 --> 00:09:44,060 +بتفكوا، فكيتوا؟ قبل كده؟ + +110 +00:09:44,060 --> 00:09:49,260 +خدتوه، خدتوه تمه؟ فهي هيك بس العملية بتفك، عشان في + +111 +00:09:49,260 --> 00:09:51,280 +الضغط اللي بتطلعه، هي اللي عملتينين، الضغط اللي + +112 +00:09:51,280 --> 00:09:54,060 +عليك بتعمل تينين اللي وراها، بنفس الطريقة اللي توا + +113 +00:09:54,060 --> 00:09:58,700 +عملناها تمه؟ قال خلصنا، هي فكيتها إبسلون هذه + +114 +00:09:58,700 --> 00:10:02,660 +الحلوة هيهامظبوط ولا لأ؟ بدي اعوض محل الـ epsilon + +115 +00:10:02,660 --> 00:10:09,220 +بهذا المقدار عادي تمام؟ Substituting for epsilon + +116 +00:10:09,220 --> 00:10:14,020 +back and collecting together like powers صار + +117 +00:10:14,020 --> 00:10:22,520 +السؤال هيك جمعناها epsilon + +118 +00:10:22,520 --> 00:10:27,610 +واحد نقص epsilon تلاتة ع اتنين epsilon تربيةو5 ع + +119 +00:10:27,610 --> 00:10:30,590 +16 أبسلون تكعيب، مظبوط ولا لأ؟ بس عوضت في محل + +120 +00:10:30,590 --> 00:10:35,510 +أبسلون تمام، لما يجي تطلع، قال هذا بس مفهوش يجمع + +121 +00:10:35,510 --> 00:10:39,190 +ليهم، جمعهم، فيه ممكن يجمعوا، اضرب هذا في هذا و + +122 +00:10:39,190 --> 00:10:43,230 +هذا في هذا، ربع هذا، حصل عندك هذا تربيع و هذا + +123 +00:10:43,230 --> 00:10:46,350 +تربيع، مظبوط ولا لأ؟ لما تتربع حان، و هنا في عندك + +124 +00:10:46,350 --> 00:10:50,130 +كمان هذا لما تيجي هيجيك cosine تربيع كمان، مظبوط + +125 +00:10:50,130 --> 00:10:54,670 +ولا لأ؟ لما تشتغلها، بديك رواقة شوية، و تشتغلها + +126 +00:10:54,670 --> 00:11:02,990 +بالراحةهتطلع هيك صدقوا أنه بطلع يعني صدقوا ما + +127 +00:11:02,990 --> 00:11:05,330 +تصدقيش أنت حر الله عالضرر أعمل إيه بعمل اللي ليكي + +128 +00:11:05,330 --> 00:11:10,670 +homework تجيبليها تمام سهل يعني و أنا ماأقولكوا + +129 +00:11:10,670 --> 00:11:14,950 +بصدقوا يعني بكون سهل شغل رياضيات بسيط إن عمل هيك + +130 +00:11:14,950 --> 00:11:22,880 +لما اتظبط في هذه الحالة اتطلعوا على لجين ضرقالوا + +131 +00:11:22,880 --> 00:11:28,420 +انت دتني في لجندر بي سفر بساوي واحد بي واحد بتساوي + +132 +00:11:28,420 --> 00:11:33,460 +X طبعا انا في ال X عندى cosine ثيتا بي اتنين اظن + +133 +00:11:33,460 --> 00:11:38,740 +اتنين cosine تربيع الثيتا او تلاتة ناقص واحد ع + +134 +00:11:38,740 --> 00:11:42,880 +اتنين وضلوا ماشيين جابوا كتاب ال mathematical + +135 +00:11:42,880 --> 00:11:48,900 +physics واطلوا ع ال bees قالوا ها دي بي سفرهذه بي + +136 +00:11:48,900 --> 00:11:53,080 +واحد وهذه بي اتنين وهذه بي تلاتة اللي وراها طلعت + +137 +00:11:53,080 --> 00:11:56,460 +بي اربعة اللي وراها بي خمسة قالوا إذن الجواب طلع + +138 +00:11:56,460 --> 00:12:00,760 +بجلالة ال peace وزي ما اتفقيل ال agenda يا بنات + +139 +00:12:00,760 --> 00:12:05,020 +بصير مشهور زي شهورة ال sine و ال cosine function + +140 +00:12:05,020 --> 00:12:09,910 +مشهورلما اطلعوا عليه بالمقارنة قالوا referring + +141 +00:12:09,910 --> 00:12:13,490 +back to the Rodriguez formula of Legendar قالوا + +142 +00:12:13,490 --> 00:12:18,010 +ارجع لتابعة Legendar لقوا انه B0 of X بسوان هذا X + +143 +00:12:18,010 --> 00:12:23,850 +هذا نص تلت X سربيع و هكذا هذا كتاب الmathematical + +144 +00:12:23,850 --> 00:12:27,690 +physics جندنا مفتحه و منجيب Legendar قالوا هذا هو + +145 +00:12:27,690 --> 00:12:34,600 +هذا B0هذا بي واحد وهذا بي اتنين لان ال X cos θ هذا + +146 +00:12:34,600 --> 00:12:40,460 +بي تلاتة و هكذا تمام قالوا اذا sorry جواب the last + +147 +00:12:40,460 --> 00:12:44,560 +equation can be written as اللي هي واحد على R + +148 +00:12:44,560 --> 00:12:48,420 +script كيف اكتبها قال ال R script هي كيف تكتب + +149 +00:12:52,160 --> 00:12:55,520 +Summation، اتطلعوا، هذه 1 على R اللي طلعته برا، + +150 +00:12:55,520 --> 00:13:02,700 +وهذه R شرطة على R، R شرطة على R أس 0، R شرطة على R + +151 +00:13:02,700 --> 00:13:07,440 +أس 1، R شرطة على R أس 2، R شرطة على R أس 3، و هكذا + +152 +00:13:07,860 --> 00:13:11,940 +تمام؟ إذا صار طبعا واحد على R الخارجي برضه حافظت + +153 +00:13:11,940 --> 00:13:17,340 +عليه فواحد على R R شرطة أس R أس N وهذه PN فلما + +154 +00:13:17,340 --> 00:13:21,360 +أفكها هذه صفر صفر واحد واحد اتنين اتنين تلاتة + +155 +00:13:21,360 --> 00:13:24,680 +تلاتة وهاكذا جالي طب جيبلي الجهود بقوله هيا إذا + +156 +00:13:24,680 --> 00:13:27,340 +ارجع للجهود هي الجهود + +157 +00:13:30,170 --> 00:13:34,670 +هذا الجهد لأي charge distribution بشرط وحيد ان R + +158 +00:13:34,670 --> 00:13:38,830 +تكون أكتر كتير من R شرطة بس اذا هذه شرطة يا بنات + +159 +00:13:38,830 --> 00:13:46,210 +ان R much greater than R شرطة بس وبجيب كل حاجة + +160 +00:13:46,210 --> 00:13:46,650 +منها + +161 +00:13:50,850 --> 00:13:54,130 +تمام؟ قدّم نشوف كيف محلاها بتصير يعني هي الشرط + +162 +00:13:54,130 --> 00:13:58,290 +الوحيد هي في مسائل حلناها في chapter 2 وفي أول + +163 +00:13:58,290 --> 00:14:01,510 +chapter 3 بنعود نحلها بهذه الطريقة ونشوف بتطلع + +164 +00:14:01,510 --> 00:14:07,270 +الجواب ولا لا تمام؟ بس مجرد the first term قال لي + +165 +00:14:07,270 --> 00:14:14,270 +خلينا نفُك أول term ال first term يا بنادر مين + +166 +00:14:14,270 --> 00:14:18,430 +بيقعد فى فُك معايا؟ مدى فُك أول term يا هدى أش + +167 +00:14:18,430 --> 00:14:24,880 +بتحط بحلين؟0 يلّا نجليني هيا هذي K هذي بتساوي K + +168 +00:14:24,880 --> 00:14:32,140 +يلّا هذي ال summation بدي أفكها R أُس 0 زي 1 تكامل + +169 +00:14:32,140 --> 00:14:41,780 +R شرطة أُس 0 واحد بي سفر واحد واحد رو دي تاو إيش + +170 +00:14:41,780 --> 00:14:46,380 +هذي Q إذا طلعت K Q على R + +171 +00:14:49,380 --> 00:14:54,900 +أمكوش شفته؟ مش هذا قانون معروف؟ لشحنة واحدة؟ عشان + +172 +00:14:54,900 --> 00:14:58,740 +كده بسميه لهذا ال term monopole. monopole ايش يا + +173 +00:14:58,740 --> 00:15:02,840 +عم نقول لشحنة واحدة؟ monopole اذا the first term + +174 +00:15:02,840 --> 00:15:07,000 +unequal to zero of equation 31 gives the monopole + +175 +00:15:07,000 --> 00:15:12,400 +contribution اتفجنا؟ طيب ما؟ بدنا نفوك هال gate ان + +176 +00:15:12,400 --> 00:15:19,220 +بتساوي لحد التالي ان بتساوي واحد يلّاهذا اتفاقنك + +177 +00:15:19,220 --> 00:15:27,460 +ايه؟ هجت 1 على R تربيع تكامل R شرطة جدّيش بيه 1 + +178 +00:15:27,460 --> 00:15:35,520 +Cos θ رو دي تره صح ولا لأ؟ لو اعتبرت انت هذه + +179 +00:15:35,520 --> 00:15:42,180 +بتساوي Q وهذه R شرطة صارت Q شرطة في R شرطة هل + +180 +00:15:42,180 --> 00:15:49,270 +بتقدر تعتبرها هذه P الشحنة في المسافة؟مظبوط؟ صارت + +181 +00:15:49,270 --> 00:15:59,090 +وكأنها K على R تربيع وهذه P Cos θ صح؟ طيب P Cos θ + +182 +00:15:59,090 --> 00:16:04,750 +ممكن تعتبرها P ضد الارهات صح؟ هذه تحت الـdipole + +183 +00:16:04,750 --> 00:16:11,000 +إذن الterm التاني دا الـdipoleأول term سميته + +184 +00:16:11,000 --> 00:16:15,000 +monopole ثانت ترم سميته dipole تالت ترم بسميه ال + +185 +00:16:15,000 --> 00:16:20,620 +quadrupole تمام؟ والثالث هو ال quadrupole and so + +186 +00:16:20,620 --> 00:16:29,560 +on زي ما توي عملتها عملها كمان مرة بس بخط أحلى هذا + +187 +00:16:29,560 --> 00:16:35,920 +ال monopole وهذه تبع ال dipoleR hat dot عشان ال + +188 +00:16:35,920 --> 00:16:41,080 +cos θ اللي كتبتها R شرط رودي تاو قال لي هذه + +189 +00:16:41,080 --> 00:16:44,940 +المفروض تكون ال dipole ال P ال dipole moment + +190 +00:16:44,940 --> 00:16:49,680 +قررتها بتاعة ال dipole قال لي إذا كانت ال dipole + +191 +00:16:49,680 --> 00:16:53,820 +moment هو نفس الوحدات شحنة في مسافة و هي أصلا ال + +192 +00:16:53,820 --> 00:17:00,200 +dipole moment Q في D تمامبتساوي R شرط رو دي تاو + +193 +00:17:00,200 --> 00:17:03,380 +هذه R شرط رو دي تاو لما عندك تكون charge + +194 +00:17:03,380 --> 00:17:07,500 +distribution طب لما يكون الشحنات منفصلة التكامل ما + +195 +00:17:07,500 --> 00:17:16,200 +هو summation صح ولا لأ فهذا هي بدل هذه دي Q ولا مش + +196 +00:17:16,200 --> 00:17:26,240 +دي Q هذه؟ مظبوط والدي Q هي أحد الشحنات هي QiوR + +197 +00:17:26,240 --> 00:17:32,920 +شرطة إحداثي لـQ هنا إحداثي لـQ شرطة فهذه هي هذه + +198 +00:17:32,920 --> 00:17:37,500 +الـP لكي لا نرى ما الذي نريد أن نفعل لهذا السبب + +199 +00:17:37,500 --> 00:17:45,940 +حلت الأسئلة إذا V بتساوي R رجعناها Note that for + +200 +00:17:45,940 --> 00:17:50,260 +two equal but opposite pointed charges اللي حلته + +201 +00:17:50,260 --> 00:17:59,270 +المحاضرة الماضية زي هيكهي Q وهي سالم Q ذاكرينه؟ + +202 +00:17:59,270 --> 00:18:07,170 +بدي ال monopole term كبرته ال + +203 +00:18:07,170 --> 00:18:14,910 +monopole هيه هيه جديش ال monopole تبعه بدي + +204 +00:18:14,910 --> 00:18:18,130 +أسمع مش سامع احكي مش بعبك احكي + +205 +00:18:21,430 --> 00:18:25,990 +يعني ليه زيرو؟ عشان ال total charge زيرو عشان + +206 +00:18:25,990 --> 00:18:28,850 +مجموع الشحنتين زيرو ما هوش هو Q مش Q ال total + +207 +00:18:28,850 --> 00:18:31,590 +charge طب هذه واحدة موجة بواحدة سلسلة ماجدش + +208 +00:18:31,590 --> 00:18:35,490 +مجموحها إذا مافيش إله monopole term وهو هذا لأنه + +209 +00:18:35,490 --> 00:18:38,410 +مش monopole هو أصلاً dipole منطق أنه ماكنلوش + +210 +00:18:38,410 --> 00:18:43,850 +monopole term طب نيجي ال dipoleأنت بتقول لي Q شرطة + +211 +00:18:43,850 --> 00:18:49,010 +QIRI طبعا انا لشحناتي المنفصلة باخد هذا الشحنة + +212 +00:18:49,010 --> 00:18:55,830 +باخد هذا طيب أكم شحنة فيه إذا P بالساوية Q1 R1 + +213 +00:18:55,830 --> 00:19:02,890 +شرطة ده دي Q2 R2 شرطة مش هي قصيرة تم هذه ال origin + +214 +00:19:02,890 --> 00:19:09,660 +و كانت هذه كلها ديمظبوط هيك المحاضرة الماضية؟ تمام + +215 +00:19:09,660 --> 00:19:17,180 +الـ Q واحد قداش؟ Q منقولي R واحد شرط إيش هي؟ هي + +216 +00:19:17,180 --> 00:19:23,560 +إحداث Q الفجانية إيش إحداثياتها؟ D على 2 باتجاه + +217 +00:19:23,560 --> 00:19:31,320 +الـ K ناقص Q إيش إحداثياتها؟ Vector + +218 +00:19:35,460 --> 00:19:40,740 +ها دي السالب لهاي هادي Q2 ايش بتساوي Q2؟ سالب Q + +219 +00:19:40,740 --> 00:19:48,360 +إذا السالب محلي Q2 هجت بدي R2 شرطة هجت بدي R2 شرطة + +220 +00:19:48,360 --> 00:19:56,880 +بتساوي D ع 2 بالسالب K مش هيك؟ إذا صارت سالب D ع 2 + +221 +00:19:56,880 --> 00:20:00,980 +باتجاه ال K بتساوي + +222 +00:20:00,980 --> 00:20:04,420 +و D ع 2 و D ع 2 + +223 +00:20:08,760 --> 00:20:13,760 +ماذا هذي؟ هي P هي P تبعتي اللي حليتها المرة هذيك + +224 +00:20:13,760 --> 00:20:20,900 +صح ولا لأ تمام As + +225 +00:20:20,900 --> 00:20:26,480 +expected + +226 +00:20:26,480 --> 00:20:31,620 +Note that if the total charge is zeroأما بالنسبة + +227 +00:20:31,620 --> 00:20:35,900 +لـ Dipole case المصطلح الوحيد مختلف مثلما حكت نور + +228 +00:20:35,900 --> 00:20:44,420 +المصطلح الوحيد مختلف والمصطلح + +229 +00:20:44,420 --> 00:20:48,780 +الوحيد هو المصطلح الرئيسي لأموال بعيدة من تلك + +230 +00:20:48,780 --> 00:20:53,880 +المصطلحة دعونا نشوف المشكلة 27 انا ضفت خمس أسئلة + +231 +00:20:53,880 --> 00:20:59,240 +على هذه المجموعة اللي قدامكتمام؟ في خمس أسئلة + +232 +00:20:59,240 --> 00:21:05,360 +هينضعفوا عندكم هنا يعني من هنا أيوة تضيفي بعد الـ + +233 +00:21:05,360 --> 00:21:14,260 +26 أدكم تاخدوهم 27 و 28 تمام + +234 +00:21:14,260 --> 00:21:20,440 +من هدول الخمسة بدحل اتنين هاي السؤال 27 26 سهل + +235 +00:21:20,440 --> 00:21:25,720 +يعني فلته انا لأنه مجرد شغل رياضي اطلعوا هذا + +236 +00:21:25,720 --> 00:21:32,810 +السؤالبيقول لي four particles عندك أربع شحنات are + +237 +00:21:32,810 --> 00:21:36,250 +placed as shown find a simple approximation + +238 +00:21:36,250 --> 00:21:39,570 +formula for the potential at points far from the + +239 +00:21:39,570 --> 00:21:42,230 +origin far from the origin إذا المعادلة اللي أنا + +240 +00:21:42,230 --> 00:21:45,550 +حاطيتها بتنفع اللي كان شرطها أن R تكون أكبر كتير + +241 +00:21:45,550 --> 00:21:52,350 +من R شرطها حلو يالا يا نور بدي المنبول بتقولليش + +242 +00:21:52,350 --> 00:21:56,670 +أكيد شوفيه انت انا انا انا انا انا انا انا انا انا + +243 +00:21:56,670 --> 00:21:57,610 +انا انا انا انا انا انا انا انا انا انا انا انا + +244 +00:21:57,610 --> 00:21:57,650 +انا انا انا انا انا انا انا انا انا انا انا انا + +245 +00:21:57,650 --> 00:21:57,690 +انا انا انا انا انا انا انا انا انا انا انا انا + +246 +00:21:57,690 --> 00:21:57,930 +انا انا ا + +247 +00:22:02,730 --> 00:22:07,310 +تشومل بالغباعة؟ تشومل بالغباعة؟ هتجوبل بالغباعة؟ + +248 +00:22:07,310 --> 00:22:10,970 +خلّيها + +249 +00:22:10,970 --> 00:22:15,370 +زلمة، كاملة طيب، ماناقوش بعد، كدوش مجموحه + +250 +00:22:15,370 --> 00:22:22,450 +للوفقيات؟ سالب أربعة، طب والعموديات؟موجة ولا سالب + +251 +00:22:22,450 --> 00:22:25,970 +المعامدية؟ موجة واحد لأكتر؟ سالب اجمع أيهم كلهم؟ + +252 +00:22:25,970 --> 00:22:31,490 +لكن كل واحد في اتجاهها انت بتجمع كيوز كيو؟ كيو + +253 +00:22:31,490 --> 00:22:36,050 +فيكتر؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +254 +00:22:36,050 --> 00:22:36,350 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +255 +00:22:36,350 --> 00:22:36,450 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +256 +00:22:36,450 --> 00:22:37,890 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +257 +00:22:37,890 --> 00:22:49,590 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +258 +00:22:50,270 --> 00:22:54,990 +0 إذا ما كانت الـ monopole؟ Zero إذا الراية حوالي + +259 +00:22:54,990 --> 00:22:59,650 +مين هتجهت؟ على الضيبون الضيبون ماشي بيقولي بيقولي + +260 +00:22:59,650 --> 00:23:07,110 +P بتسوى ال summation على I QIR I hat مش سوية + +261 +00:23:07,110 --> 00:23:13,370 +كتبناها أكمتر بدى هتجهت عامةأربعة رمات بتساوي Q + +262 +00:23:13,370 --> 00:23:19,210 +واحد R واحد prime زاد Q اتنين R اتنين prime زاد Q + +263 +00:23:19,210 --> 00:23:24,630 +تلاتة R تلاتة prime زاد Q أربعة R أربعة prime + +264 +00:23:24,630 --> 00:23:32,990 +يالا، من وين تبدأ؟ من وين تبدأ؟ من وين تبدأ؟ أي + +265 +00:23:32,990 --> 00:23:39,810 +واحدة منهم تعتبرها أولا؟ من هذه تلاتة Q، ما هي + +266 +00:23:39,810 --> 00:23:40,690 +أهدافيتها؟ + +267 +00:23:46,160 --> 00:23:54,300 +يعني قداش بس باتجاه Z، إيش البعد؟ مظبوط + +268 +00:23:54,300 --> 00:23:59,020 +هيك؟ طيب، تلاتة بدّي امشم تضع قريب الساعة، إيش + +269 +00:23:59,020 --> 00:24:06,120 +التانية؟ سالب 2Q، إيش حدثياتها؟ + +270 +00:24:06,120 --> 00:24:11,080 +سالب + +271 +00:24:11,080 --> 00:24:12,740 +A باتجاه الـ J + +272 +00:24:18,380 --> 00:24:25,100 +مجليني خلصت من هذه الـ Q زائد Q إيه + +273 +00:24:25,100 --> 00:24:32,980 +اتجاه الـ Z عشان أنا عملت الـ Z أخر واحدة الـ + +274 +00:24:32,980 --> 00:24:42,360 +Y صحيح تمام اجمعوا ال I مع ال I و ال Z مع ال Z ال + +275 +00:24:42,360 --> 00:24:45,500 +Y مع ال Y أول خلّيني مع ال Y + +276 +00:24:52,920 --> 00:25:02,080 +طلعوا بروحوا ال Y بروحوا تمام و ال Z اتنين انا صح + +277 +00:25:02,080 --> 00:25:07,680 +اصحى اليوم انا اليوم اتنين QA باتجاه ايش؟ هاي ال + +278 +00:25:07,680 --> 00:25:11,720 +dipole moment المونوبول جديش طلع معانا نسمع زفر + +279 +00:25:11,720 --> 00:25:17,040 +هذا ال dipole تمامأذا الـ monopole روح الـ dipole + +280 +00:25:17,040 --> 00:25:20,620 +جيبته بكفي احنا عندنا تتذكرين ال monopole ال + +281 +00:25:20,620 --> 00:25:24,300 +dipole ال quadruple و انا بعمل expansion جيبت واحد + +282 +00:25:24,300 --> 00:25:27,900 +بكفيك مظبوط ولا لأ؟ زي ما تقولنا عن ال sine و ال + +283 +00:25:27,900 --> 00:25:32,580 +cosine قولت بلأ بس جيب حد واحد تمام؟ إذا الأول سفر + +284 +00:25:32,580 --> 00:25:37,240 +بتروح على التاني؟ في حدا منكم نسقطه؟ ماخد ال + +285 +00:25:37,240 --> 00:25:43,940 +quantum mechanics؟ أكيد ولا واحدة؟ when we are مش + +286 +00:25:43,940 --> 00:25:53,190 +موجودةطيب إذا هذه 2QA في الـ Z الـ P عملناها إذا + +287 +00:25:53,190 --> 00:25:57,090 +الـ monopole is obviously zero الـ monopole is + +288 +00:25:57,090 --> 00:26:01,270 +zero Now using equation 32 we have for the dipole + +289 +00:26:01,270 --> 00:26:06,330 +اللي توي عملتها و هدول جمعتهم الأربعة طلعوا 2QA + +290 +00:26:06,330 --> 00:26:09,230 +باتجاه الكيك اللي خلصها ايش الجهد؟ قلتله الجهد ما + +291 +00:26:09,230 --> 00:26:14,050 +هو هنا KP.R hat على أرتال P وهي ال P جيبتلكيها + +292 +00:26:15,010 --> 00:26:23,230 +مظبوط او لا؟ ليس دايبول فهذا هو الجهود P + +293 +00:26:23,230 --> 00:26:26,590 +ضد الارض ضد البرودكت بديب كوسيني الثيتا هذا سؤال + +294 +00:26:26,590 --> 00:26:32,250 +سبعة وعشرين طبعا اذا أحد يقول أنه يريد أن أحل وانا + +295 +00:26:32,250 --> 00:26:35,730 +لحالي هكذا، فأقول له أنت تجلد ساعاتتحلوا من الـ + +296 +00:26:35,730 --> 00:26:38,870 +Zero يعني بمعنى أخر انت قاعد بتجيب جهود عند نقطة + +297 +00:26:38,870 --> 00:26:42,490 +هنا بعيدة كتير، شايف؟ لكن تجيب بعض هادي عن هادي و + +298 +00:26:42,490 --> 00:26:44,470 +بعض هادي عن هادي و بعض هادي عن هادي و بعض هادي عن + +299 +00:26:44,470 --> 00:26:47,870 +هادي و تعمل معادلة رياضية طويلة عريضة هنا عرضتها + +300 +00:26:47,870 --> 00:26:53,610 +على طول بالـ Expansion طيب، كمان سؤال شوف سؤال إيش + +301 +00:26:53,610 --> 00:26:59,400 +سؤال 28 بيقول لي انت مش هذيك مرة حلتسؤال باستخدام + +302 +00:26:59,400 --> 00:27:04,140 +لابلاس الكرة اللي عليها سيجما و سيجما تعتمد على + +303 +00:27:04,140 --> 00:27:07,960 +ثيتا و قلنا لكم أننا لا نستخدم جاوس لأن سيجما + +304 +00:27:07,960 --> 00:27:11,480 +تعتمد على ثيتا أجيبه السؤال بس أجيبه عشان أجيب + +305 +00:27:11,480 --> 00:27:21,020 +جوابه و ده حلو بطريقة تانية الآن باسم + +306 +00:27:21,020 --> 00:27:26,390 +ده اكتب الجوابأن يوميتها إيش كنت طالب؟ V إنه Out + +307 +00:27:26,390 --> 00:27:31,010 +طب قبل ما أكمل بالطريقة الجديدة بقدر أجيب V إنه V + +308 +00:27:31,010 --> 00:27:34,990 +Out ولا بس واحدة؟ + +309 +00:27:34,990 --> 00:27:38,970 +إيش شرط في الطريقة اللي ..؟ إذا V إنه بقدرش أجيبها + +310 +00:27:38,970 --> 00:27:42,710 +أنا بقدر أجيب بس V Out لأن هذا المعادلة، الطريقة + +311 +00:27:42,710 --> 00:27:47,150 +الجديدة، إلها شرط إنه R تكون كبيرة و N بينفعش تكون + +312 +00:27:47,150 --> 00:27:54,310 +كبيرة إذا أنا بدي أجيب هذا صح؟ نكتبه هنا Vبتساوي + +313 +00:27:54,310 --> 00:27:58,070 +طبعا هذا سؤال مش approximate هذا exact جبته تمام + +314 +00:27:58,070 --> 00:28:07,130 +التمام كارتكعيب على تلاتة ابسلون نوت كوصين الثيتا + +315 +00:28:07,130 --> 00:28:11,930 +على ارتربيه هاي جوابي هذا جبته بطريقة تدقت لبلاس + +316 +00:28:11,930 --> 00:28:16,170 +حلته واشتغلت عليه طيب لأ انا بدي بطريقة ليجيدة + +317 +00:28:16,170 --> 00:28:19,990 +نشوف ايش كاتب سؤال تمانية وعشرين + +318 +00:28:24,710 --> 00:28:42,750 +أتشارج جنسيتي بقول + +319 +00:28:42,750 --> 00:28:48,230 +اتشارج جنسيتي بقول اتشارج جنسيتي بقول اتشارج + +320 +00:28:48,230 --> 00:28:51,170 +جنسيتي بقول اتشارج جنسيتي بقول اتشارج جنسيتي بقول + +321 +00:28:51,170 --> 00:28:53,250 +اتشارج جنسيتي بقول اتشارج جنسيتي بقول اتشارج + +322 +00:28:54,700 --> 00:28:58,300 +Find approximate potential، كل شغل هو approximate + +323 +00:28:58,300 --> 00:29:03,100 +في الطريقة هذه، for points far from the sphere، + +324 +00:29:03,100 --> 00:29:06,720 +تمام، عشان تستخدم طريقة تبعتك الجديدة، قلتله يلا + +325 +00:29:06,720 --> 00:29:09,680 +الطريقة الجديدة، عوضك تجيبي الـmonopol، إذا جيبته + +326 +00:29:09,680 --> 00:29:13,280 +بكفيالـ Monopole تظهر في الرشو مين تروح تجيب الـ + +327 +00:29:13,280 --> 00:29:17,080 +Double غصب عنك احنا قاعدين نعمل هدول عدة ترمات + +328 +00:29:17,080 --> 00:29:21,120 +approximate و انا عارف هم صغار وبالتالي أول team + +329 +00:29:21,120 --> 00:29:24,580 +انسك تاني لإن التاني أصغر ال team من الأول لكن لما + +330 +00:29:24,580 --> 00:29:29,000 +يكون الأول Zero غصب عنك بدي تجيب التاني مافيش داعي + +331 +00:29:29,000 --> 00:29:32,200 +اجيب التالت يعني أي واحد فيهم مطلع ال Zero مكفيكي + +332 +00:29:32,200 --> 00:29:36,040 +تمام اللي هو كتب لـ Calculate The Double Moment + +333 +00:29:36,040 --> 00:29:40,870 +بدي اجيب الـ Monopoleأولا شوفوا الـ monopole هل + +334 +00:29:40,870 --> 00:29:43,370 +جيت مقدرش أقول الـ monopole بيستخدم صفر البرنامج + +335 +00:29:43,370 --> 00:29:46,590 +لشعته؟ مش شحنة و سلب شحنة، صح ولا لأ؟ هكذا بدأ + +336 +00:29:46,590 --> 00:29:50,210 +أجيبه، قال لي الـ monopole هو أصلا تباعي تبعي + +337 +00:29:50,210 --> 00:29:56,090 +عبارة عن تكامل رو دي تاو، مظبوط هيك ولا لأ؟ رو دي + +338 +00:29:56,090 --> 00:30:00,290 +تاو، طيب أنا عنديش هال gate رو ولا دي تاو، عندي + +339 +00:30:00,290 --> 00:30:07,350 +سيجما، بسيطة، سيجما دي إيه؟زاكرين رو دي تا سيجما + +340 +00:30:07,350 --> 00:30:11,910 +دي إيه أو لمدة دي إيه؟ حسب سؤالنا طيب إيه + +341 +00:30:11,910 --> 00:30:14,110 +بالـspecial coordinates؟ إيش كتبت عليها؟ إيش + +342 +00:30:14,110 --> 00:30:20,590 +الثابت؟ إذا هذه عبارة عن R تربية ساين فيتا دي فيتا + +343 +00:30:20,590 --> 00:30:29,030 +هذه إيش بتساوي؟ هيها، أدينيها K كوساين فيتا إذا + +344 +00:30:29,030 --> 00:30:33,330 +إيش صار في عندي تكامل؟ كوساين فيتا ساين فيتا دي + +345 +00:30:33,330 --> 00:30:33,770 +فيتا + +346 +00:30:36,520 --> 00:30:40,520 +إيه السكامولها دى؟ + +347 +00:30:40,520 --> 00:30:50,180 +sign تربيع عتمى sign سفر و sign يلبى إذا ال + +348 +00:30:50,180 --> 00:31:00,080 +monopoly روح صح ال monopoly روح تمام طلعوا عليا بس + +349 +00:31:00,080 --> 00:31:04,700 +بهمش عشان ما تستغربوش كتير where ال theta تبعتي مش + +350 +00:31:04,700 --> 00:31:09,850 +هيها؟صح؟ من الـ spherical coordinates هي هالفيتا + +351 +00:31:09,850 --> 00:31:15,750 +طيب عند النقطة هذه جديد الفيتا بتكون؟ جدش سيجما + +352 +00:31:15,750 --> 00:31:22,590 +بتكون ساعتها؟ K كيك براو شوية شوية بتجل ولا لا؟ طب + +353 +00:31:22,590 --> 00:31:26,590 +عند النقطة هذه جدش سيجما؟ سالب كيك؟ سالب كيك؟ سالب + +354 +00:31:26,590 --> 00:31:29,610 +كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب + +355 +00:31:29,610 --> 00:31:31,290 +كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب + +356 +00:31:31,290 --> 00:31:37,830 +كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟أنتوا + +357 +00:31:37,830 --> 00:31:40,310 +عليا؟ عشان ما تصرفموش ليش طلع الـ Monopoly Zero + +358 +00:31:40,310 --> 00:31:45,230 +لأنه هو أصلا كونه جلي باعتمد ع فيته يعني نص موجب و + +359 +00:31:45,230 --> 00:31:48,970 +نص سالب كل الفوق زاوية حادة و قصان زاوية حادة موجب + +360 +00:31:48,970 --> 00:31:52,270 +لكن بعد كده بصير الزاوية المنفرجة و قصان الزاوية + +361 +00:31:52,270 --> 00:31:56,050 +المنفرجة سالب ففي النص الفوجاني موجب و النص + +362 +00:31:56,050 --> 00:31:59,830 +التحتاني سالب بس طبعا مش موزع بانتظام هنا أكتر + +363 +00:31:59,830 --> 00:32:03,030 +حاجة بعدين ببدأ جلي جلي جلي جلي طب هدا جديش هنا + +364 +00:32:03,030 --> 00:32:09,010 +الشحنة ده؟zero و هنا zero تمام؟ عادى احسن فيه ما + +365 +00:32:09,010 --> 00:32:11,590 +لو حد بدي فاكر كان في الشحنات مش مشكلة اذا اتفقنا + +366 +00:32:11,590 --> 00:32:14,150 +ان ال monopole جالديش يطلع معايا zero و قال ليه + +367 +00:32:14,150 --> 00:32:16,450 +جيش يجيبني ال monopole لانه عارفه zero قال جيبني + +368 +00:32:16,450 --> 00:32:19,510 +ال die ball طبعا انا كاتب هنا for the monopole ان + +369 +00:32:19,510 --> 00:32:22,230 +بتساوي zero in equation we have هاي جيبت ال + +370 +00:32:22,230 --> 00:32:24,930 +monopole طلع zero مفيش لها ال monopole اذا اضطر + +371 +00:32:24,930 --> 00:32:29,150 +اجيب ال die ball using equation 30t for the die + +372 +00:32:29,150 --> 00:32:29,410 +ball + +373 +00:32:34,560 --> 00:32:40,640 +We get P بديش أعمل الصممشي بدي أعمل التكامل R شرطة + +374 +00:32:40,640 --> 00:32:44,520 +Sigma دي إيه؟ هي رو دي تاوي أصلا رو دي تاوي ال + +375 +00:32:44,520 --> 00:32:48,360 +default لكن شكلي بيقول الشحنات موزعة على إيش؟ على + +376 +00:32:48,360 --> 00:32:55,460 +سطح تمام إيش هي R شرطة؟ نسمع إيش هي R شرطة؟ R شرطة + +377 +00:32:55,460 --> 00:32:58,400 +إيش هي؟ من شبتر اتنين إيش تاخديها R شرطة؟ من شبتر + +378 +00:32:58,400 --> 00:33:04,780 +واحدبعد العنصر الشحنة أو العنصر أو ال source حلو + +379 +00:33:04,780 --> 00:33:11,680 +وين الشحنات موجودة جيبلي أحدثيتها أي عنصر منهم أي + +380 +00:33:11,680 --> 00:33:15,460 +عنصر وين ما تحط أصبعك حطي عنصر يعني ما تحطي الجزء + +381 +00:33:15,460 --> 00:33:20,600 +منها ال surface و بتجيبلي R شرطة spherical + +382 +00:33:20,600 --> 00:33:20,920 +coordinates + +383 +00:33:37,780 --> 00:33:44,760 +صح؟ بس spherical coordinates إذا البديل R شرطة + +384 +00:33:44,760 --> 00:33:53,020 +حطيت capital R R hatمظبوط ولا لأ؟ طبعا هذه الـDA + +385 +00:33:53,020 --> 00:33:58,300 +يا بنات لو كتبنا R تربيها sin θ Dθ Dφ طيب، بنفع + +386 +00:33:58,300 --> 00:34:03,040 +أكامل والـR hat جوا التكامل؟ إيش بيجي أسوي؟ طيب، + +387 +00:34:03,040 --> 00:34:06,380 +بيبقى أنا أذكركم فيها اللي مش طالبكم بتحفظوها R + +388 +00:34:06,380 --> 00:34:14,580 +hat sin θ cos ف باتجاه الـI sin θ sin ف باتجاه + +389 +00:34:14,580 --> 00:34:21,400 +الـJ ذات cos θ باتجاه الـKتذكرينها؟ مديش هي كنت + +390 +00:34:21,400 --> 00:34:26,140 +أحفظوها؟ مرت عليكي؟ لحظة بعدين تقولين أنك دي .. + +391 +00:34:26,140 --> 00:34:31,880 +طيب اتطلعوا هدى، إيش بده كامل أول؟ ع الـD فاي، + +392 +00:34:31,880 --> 00:34:37,040 +كملولي هدى ع الـD فاي؟ + +393 +00:34:37,040 --> 00:34:45,800 +ليش؟ طب كمليها؟ إيش تكمل كساين؟سالب سين من سفر إلى + +394 +00:34:45,800 --> 00:34:49,100 +اتنين باى سين السفر كده؟ كوصين اتنين باى، اذا هذا + +395 +00:34:49,100 --> 00:34:54,540 +روح، اذا هذا تكامل و بيروح، فى اكس كومبونين؟ فاش، + +396 +00:34:54,540 --> 00:35:00,900 +كاملولى هذا، فى فاي؟ كوصين، كوصين اتنين باى، كوصين + +397 +00:35:00,900 --> 00:35:06,980 +سفر، واحد نخس واحد، واحد، اذا برضه هذا بيروح، ايش + +398 +00:35:06,980 --> 00:35:10,820 +بتطلع عندي؟ فى فاي هنا، اذا بتطلع عندي اتنين باى + +399 +00:35:11,480 --> 00:35:15,860 +مظبوط ولا لا؟ هنا في cosine θ و هنا في sin θ و ال + +400 +00:35:15,860 --> 00:35:22,060 +sigma فيها cosine θ فصرت cosine تربيع sin θ dθ صح؟ + +401 +00:35:22,060 --> 00:35:25,660 +high cosine و high cosine cosine تربيع و هنا في + +402 +00:35:25,660 --> 00:35:31,920 +sin طيب إذا صار الجواب كان التالي بعد ما عملنا هذا + +403 +00:35:31,920 --> 00:35:32,680 +كل الشغل + +404 +00:35:35,850 --> 00:35:46,070 +But R شرطة بتسوي capital R, R hat وعلى + +405 +00:35:46,070 --> 00:35:50,920 +طول R hat ممنوع تظهر وانت قاعد بالكاملهوّل + +406 +00:35:50,920 --> 00:35:54,200 +لـCartesian Coordinates عشان الـI والـJ والـK + +407 +00:35:54,200 --> 00:35:58,900 +بيطلعوا برا التكامل تمام فعملتهم بيقول لتوي عملنا + +408 +00:35:58,900 --> 00:36:03,880 +مع بعض أنا و نسمة ان ال integration over Phi is + +409 +00:36:03,880 --> 00:36:04,380 +zero + +410 +00:36:08,150 --> 00:36:12,290 +is zero for the x and the y components leaving + +411 +00:36:12,290 --> 00:36:16,650 +only the z component هذي روحت و هذي روحت لأن هنا + +412 +00:36:16,650 --> 00:36:19,550 +في sin فاي و هنا في cos فاي لما كملت على الفاي + +413 +00:36:19,550 --> 00:36:28,090 +بتديني zero بس ضلعتش كملت cos تربيع هذي صارت ناقص + +414 +00:36:29,770 --> 00:36:34,690 +cos θ او بمعنى اخر و let cos θ بيساوي u إذا سالب + +415 +00:36:34,690 --> 00:36:40,330 +sin θ دي فتة بيساوي du، ذاكرينها؟ تمام، إذا sin θ + +416 +00:36:40,330 --> 00:36:44,930 +دي فتة صارت سالب دي cos فتة فبصير هذه عبارة عن u + +417 +00:36:44,930 --> 00:36:49,730 +تربيع du بالسالب و u تكعيب على تلاتة وهذه السالبة، + +418 +00:36:49,730 --> 00:36:55,370 +عشان بستعرضكم في جيتو تمام التكامل cos بي + +419 +00:36:58,220 --> 00:37:01,540 +حيث سالب طلعته برا كسان باي سالب واحد ماقص كسان + +420 +00:37:01,540 --> 00:37:07,120 +سفر سالب واحد و سالب واحد سالب اتنين و في سالب + +421 +00:37:07,120 --> 00:37:11,420 +اتنين اذا هذا اتنين ع تلاتة وهنا في اتنين اربعة ع + +422 +00:37:11,420 --> 00:37:16,300 +تلاتة دي ال P اذا المطلوب الاول جالي اودي دي + +423 +00:37:16,300 --> 00:37:20,460 +دايبول والله اللي فيه دايبولأذا هل الرسمة دايبول؟ + +424 +00:37:20,460 --> 00:37:23,920 +بقول له أه طلعت دايبول دايبول كان طلع معايا ما طلع + +425 +00:37:23,920 --> 00:37:27,100 +ال zero المنوبول هل هي منوبول؟ لا طلعت zero + +426 +00:37:27,100 --> 00:37:30,580 +المنوبول تير تمام طب بدي جهود؟ بقول له خلاص الجهود + +427 +00:37:30,580 --> 00:37:34,420 +ال formula الكبيرة أول تلم سفر خد التاني تلم + +428 +00:37:34,420 --> 00:37:38,480 +وخلصنا هذا + +429 +00:37:38,480 --> 00:37:46,460 +approximate results هذا exact results قنوها شوفوا + +430 +00:37:46,460 --> 00:37:51,540 +التلمات اللي وراها متجايبها أنالغيها نفس الاشي نفس + +431 +00:37:51,540 --> 00:37:56,560 +الاشي وبالتالي اللي بيكنوا تفهموه انتوا بتاعة + +432 +00:37:56,560 --> 00:37:59,080 +الفيزياء بالذات كلمة approximation بتبرع علينا + +433 +00:37:59,080 --> 00:38:02,560 +كتير ولمّا يقولوا approximation ما تتوقعوا ان + +434 +00:38:02,560 --> 00:38:10,360 +العشرة بيصير تسعة لأ العشرة بيصير عشرة زائد واحد + +435 +00:38:10,360 --> 00:38:14,150 +في العشرة واسالد مية مراتيعني التغيير مش كبير فمش + +436 +00:38:14,150 --> 00:38:17,930 +approximation انه اتجاوبين كتير مختلفين هي + +437 +00:38:17,930 --> 00:38:22,050 +approximation وهي exact هي approximation وهي exact + +438 +00:38:22,050 --> 00:38:25,590 +نفس الشي جابها يعني معناته تروح ال approximation + +439 +00:38:25,590 --> 00:38:29,050 +لما اقولك اعمل approximation مش انه شلج كتير عن + +440 +00:38:29,050 --> 00:38:33,430 +الجواب الصحيح لأ جرب كتير عن الجواب الصحيح بتكون + +441 +00:38:33,430 --> 00:38:36,670 +مجربة تمام التمام تمام ويمكن + +442 +00:38:38,860 --> 00:38:42,020 +أنا أول مرة اعملت test وأنا جاتكم على حكاية ال + +443 +00:38:42,020 --> 00:38:46,080 +approximation فكرتها approximation جالكوا ناخد + +444 +00:38:46,080 --> 00:38:50,120 +مادة اسمها numerical analysis تحليل عددي في + +445 +00:38:50,120 --> 00:38:53,040 +التحليل العددي أول حاجة بعلمونا إياها كيف نعمل + +446 +00:38:53,040 --> 00:38:56,620 +تكمل بالكمبيوترو جعلوا التكامل بالكمبيوتر كيف + +447 +00:38:56,620 --> 00:38:59,660 +بيعملوا بيجسموا المنطقة ما تحت ال .. ال function + +448 +00:38:59,660 --> 00:39:02,780 +بيتكاملوا إلى مستطيلات صغيرة و بيجيبوا مساحة + +449 +00:39:02,780 --> 00:39:05,960 +المستطيل و بيشتغلوا طبعا لما اتجسمها لمستطيلات + +450 +00:39:05,960 --> 00:39:09,540 +المستطيل مش مستطيل تشبه منحلف بس بيعتبره مستطيل و + +451 +00:39:09,540 --> 00:39:12,340 +بيعملوا فروحة أيام كنا قاعدين بناخد Mathematical + +452 +00:39:12,340 --> 00:39:16,160 +Physics 2 و جينا التكامل من صفر لمنه نهاية E تبارك + +453 +00:39:16,160 --> 00:39:21,140 +نقص X تربيع DX إلها جوابمظبوط هذه ولا لا؟ هذه انها + +454 +00:39:21,140 --> 00:39:25,660 +جواب الفا فانكشن هذه الفا فانكشن قولت يا الله انا + +455 +00:39:25,660 --> 00:39:29,700 +قاعد بشتر على الكمبيوتر و قاعد بتعلم بلعب قولت يا + +456 +00:39:29,700 --> 00:39:33,320 +كمبيوتر اعملي هذه انت بتعمل approximation قال انا + +457 +00:39:33,320 --> 00:39:36,060 +بعمل approximation طلعت الكمبيوتر لو طلعل نفسي + +458 +00:39:36,060 --> 00:39:39,410 +جواب يكدهإذا كانت مش approximation بتضحكوا علينا + +459 +00:39:39,410 --> 00:39:43,810 +هذا جواب نتطلع وبالتالي ال approximation اللي + +460 +00:39:43,810 --> 00:39:50,610 +بنسمعه هو قريب جدا للحل دائما بيكون .. إذا كانت + +461 +00:39:50,610 --> 00:39:52,790 +الشروط ضلية اللي محافظين عليها يعني و أنا + +462 +00:39:52,790 --> 00:39:55,710 +الكمبيوتر إيش بسوي فيه؟ بقوله انا مين جالك ان انا + +463 +00:39:55,710 --> 00:39:59,370 +بدي أجسمهم هدول لعشر مستطيلات و انا اش ورايا و انا + +464 +00:39:59,370 --> 00:40:03,530 +بدي أجمع؟ كمبيوتر بدي أجمع أجسمهم لمليون مستطيل + +465 +00:40:03,530 --> 00:40:09,400 +إيش ده؟البطوليش بالصين عندك إجابة متوبالتالي صار + +466 +00:40:09,400 --> 00:40:13,140 +الكمبيوتر يطلّع لك تكاملات مع أن أصل الشغل هو + +467 +00:40:13,140 --> 00:40:17,480 +approximation لكن النتائج exact النتائج exact + +468 +00:40:17,480 --> 00:40:21,940 +وهيني أنا نفس العملية أنا أصلا قاعد بعمل mid term + +469 +00:40:21,940 --> 00:40:26,900 +واخدت بس term واحد منهم مش هم expansion ترمات + +470 +00:40:26,900 --> 00:40:30,860 +كتيرة أول واحد سافرت وهم ماجين وقولت بلاش بفلتك + +471 +00:40:30,860 --> 00:40:34,200 +منهم تتعبش حالك فين هم؟ ليه؟ لأنهم مش هيدفعولك أي + +472 +00:40:34,200 --> 00:40:40,570 +إشي وهم صعبين أصلالغاية كل الترمات اللي ضايلة، + +473 +00:40:40,570 --> 00:40:43,490 +والجواب طلع نفس الجواب، مع أن كل الترمات اللي + +474 +00:40:43,490 --> 00:40:47,270 +وراها لو اشتغلت وبقعت فيها أيام واسابيع وشهور، + +475 +00:40:47,270 --> 00:40:50,810 +هيضيفلك إشي؟ مش هيضيفوا إشي، وبالتالي طرق ال + +476 +00:40:50,810 --> 00:40:55,210 +approximation هي طرق دقيقة ويعتمد عليها بصورة + +477 +00:40:55,210 --> 00:41:00,180 +كبيرة جدا، تمةهكذا احنا بنكون هذا الـ chapter + +478 +00:41:00,180 --> 00:41:04,740 +انتهى بكل تفاصيله أخد معانا وقت كبير هو chapter + +479 +00:41:04,740 --> 00:41:09,600 +مركزي ال chapter الجاي إيش موضوعه؟ هتشوفوا إن + +480 +00:41:09,600 --> 00:41:13,600 +المادة يعني أفكارها بسيطة جدا سهلة كهرومنصية + +481 +00:41:13,600 --> 00:41:18,660 +chapter 4 بدي أرجع أشرح chapter 3 إيهش chapter 3 + +482 +00:41:18,660 --> 00:41:22,700 +خدت؟ كيف تحسب الجهود؟ كيف تحسب المجال؟ صح ولا لأ؟ + +483 +00:41:22,700 --> 00:41:24,800 +و قلت هدي شي هدي + +484 +00:41:27,780 --> 00:41:30,780 +الـ Epsilon Note إيش هي بتمثل فيزيائية ثابت نفاذية + +485 +00:41:30,780 --> 00:41:35,090 +فيه؟ في الفراغ فالآن بيقولك بيديكي أحط فراغبدي أحط + +486 +00:41:35,090 --> 00:41:39,830 +مادة طب إيش بيصير؟ المادة مش فراخ قال لي مش انا + +487 +00:41:39,830 --> 00:41:44,170 +تاوي علمتك الـ dipoles هدول لما انا أحط شحنة جنبهم + +488 +00:41:44,170 --> 00:41:48,650 +بيضلهم زي ما هم بتتوتبوا بتغير شكلهم لما يتغير + +489 +00:41:48,650 --> 00:41:51,390 +شكلهم نقول عن المادة polarized صار لها + +490 +00:41:51,390 --> 00:41:54,970 +polarization تمام؟ لما صار لها polarization كل + +491 +00:41:54,970 --> 00:41:59,570 +خواصة بتتغير فانا الموضوع المرة الجاية هو عنوانه + +492 +00:41:59,570 --> 00:42:04,090 +المجال الكهربائي جوا الموادإذا المجال الكهربا، بدي + +493 +00:42:04,090 --> 00:42:07,730 +أجيب المجال، بدي أرجع Gauss، بدي إياه، Cologue، + +494 +00:42:07,730 --> 00:42:11,810 +بدي إياه، Laplace، بدي إياها، تمام؟ وحتى الـDipole + +495 +00:42:11,810 --> 00:42:14,770 +ما هو by default هو Dipole، إذا أنا بدي أعيد نفس + +496 +00:42:14,770 --> 00:42:19,430 +الأفكار بتاع الـChapter 3، Chapter 4، بس أشوف لما + +497 +00:42:19,430 --> 00:42:22,410 +تكون المادة مش فراق، إيش بتوصل معاها؟ وإيش + +498 +00:42:22,410 --> 00:42:25,470 +المعلومات اللي بدي أن أخدها؟ يعطيكم العافية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CX5uu43Zp_E_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CX5uu43Zp_E_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..503b0ca8aff1f5e5a936080de142c7e16fbc84cb --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CX5uu43Zp_E_raw.srt @@ -0,0 +1,2012 @@ +1 +00:00:20,790 --> 00:00:25,070 +طبعا اليوم ان شاء الله بنخلص هذا ال chapter عشان + +2 +00:00:25,070 --> 00:00:30,450 +يوم السبت نبدأ ب chapter 4 احنا جاعدين في اخر + +3 +00:00:30,450 --> 00:00:35,330 +طريقة بدنا نتعلمها عشان نجيب الجهد الكهربائي و هي + +4 +00:00:35,330 --> 00:00:39,430 +ال die ball method او ال multiple expansion وشوف + +5 +00:00:39,430 --> 00:00:45,650 +ان لو كان في عندى انا شحنةوشحنة هذه نقص Q وهذه + +6 +00:00:45,650 --> 00:00:50,030 +زادة Q بدا يجيب الجود عند نقطة R أبعد كتير عن .. + +7 +00:00:50,030 --> 00:00:55,530 +بعيدة كتير عن الشحنات R أكتر كتير من D لجينا أن V + +8 +00:00:55,530 --> 00:01:01,810 +تُعطى بهذه الصيغة P ضد ال R هات على R تربيع تمام + +9 +00:01:01,810 --> 00:01:08,450 +احنا بنعرف شغلة معينة أنه لما كنت انا أجيب الرد + +10 +00:01:08,450 --> 00:01:11,620 +إذا كنتوا ذاكرين الردسؤال الرد وسؤال ال disk + +11 +00:01:11,620 --> 00:01:15,800 +ذاكرينهم في حتة الأتنين لما كنت أجيب في الآخر نعمل + +12 +00:01:15,800 --> 00:01:18,940 +test بسيط كنا نقول لما أكون أنا بعيد كتير عن الرد + +13 +00:01:18,940 --> 00:01:25,000 +كيف يبين الرد؟ بيبين نقطة وبالتالي في الحالتين + +14 +00:01:25,000 --> 00:01:30,360 +أثبتت أن V في هذه الحالة بيصير Q على R صح ولا لا؟ + +15 +00:01:30,360 --> 00:01:37,500 +إيش هي Q هنا كانت؟ شحنات إيش؟ شحنات كل الرد كل ال + +16 +00:01:37,500 --> 00:01:43,030 +system يعني صح ولا لا؟في هام الاصل نفس الشيء لما + +17 +00:01:43,030 --> 00:01:45,810 +أكون أنا بعيد أنت تقول أنك بعيد كتير، الأصل يكون + +18 +00:01:45,810 --> 00:01:49,930 +نفس القانون، صح ولا لأ؟ يعني هو sure ما هو شحنجة + +19 +00:01:49,930 --> 00:01:53,970 +من بعيد، بس طالعش المشكلة من جمع ال total queue + +20 +00:01:54,630 --> 00:02:00,310 +zero تطلع تمام؟ فبصير يعني دي مشكلة انه انت طلعتها + +21 +00:02:00,310 --> 00:02:05,530 +هل هي zero بقول هي صغيرة لكن مش zero وبالتالي لازم + +22 +00:02:05,530 --> 00:02:08,070 +تكون عندك طريقة فانا طلعتها طلعت طبعا واحد بيقولي + +23 +00:02:08,070 --> 00:02:11,170 +هذه لما تكون كبيرة كتير مش برضه صغيرة ولا لا، اذا + +24 +00:02:11,170 --> 00:02:14,630 +في توافق لكن انك تقول zero يعني nothing مرات + +25 +00:02:14,630 --> 00:02:17,890 +بينفعش تقول zero تاخدك زي نحن لما نعمل expansion + +26 +00:02:17,890 --> 00:02:23,650 +again cosine ال X لما نعملها expansion ايش اولتين + +27 +00:02:23,650 --> 00:02:36,640 +بيجي؟الكوسايم أول term واحد والصين X صين + +28 +00:02:36,640 --> 00:02:38,040 +ال X عملولها Taylor expansion + +29 +00:02:45,630 --> 00:02:50,210 +صحيح؟ فإحنا بنقول لما X تكون صغيرة كتير، بنقولش + +30 +00:02:50,210 --> 00:02:54,830 +sin X بالساوية سفر، بنقولش sin X بالساوية X أو sin + +31 +00:02:54,830 --> 00:02:58,710 +θ بالسفر بالثيتا، صح ولا؟ بنقولش عنها Zero، تمام؟ + +32 +00:02:58,710 --> 00:03:01,370 +وبالتالي بناخد إيش؟ أول term، الباقين بيقولوا + +33 +00:03:01,370 --> 00:03:06,830 +هملهمفانا بدي واحد و cosine الثيتا لما ثيتا very + +34 +00:03:06,830 --> 00:03:10,150 +small بيكون واحد صح؟ و بنجيه من ال term التاني + +35 +00:03:10,150 --> 00:03:13,390 +فنفس العملية يعني انت في ال expansion بدك term + +36 +00:03:13,390 --> 00:03:16,990 +مايكوني ال zero بغض النظر صغير ولا كبير تمام هذا + +37 +00:03:16,990 --> 00:03:22,940 +خلصنا منهالان بيقوللي شحنتين وسميتهم دايبول و جيبت + +38 +00:03:22,940 --> 00:03:27,300 +جهدهم طب عندك ميت شحنة، اش تسوي؟ عندك مليون شحنة، + +39 +00:03:27,300 --> 00:03:31,800 +اش تسوي؟ شغل أوسع، عندك charge distribution عندك + +40 +00:03:31,800 --> 00:03:36,120 +كرة، كلها شحنات استوانة، كلها شحنات، اش تسوي؟ ايه + +41 +00:03:36,120 --> 00:03:40,500 +اللي هنجربش من السوي؟ اذا الان let us calculate + +42 +00:03:40,500 --> 00:03:43,740 +the electric potential due to unarbitrary charge + +43 +00:03:43,740 --> 00:03:50,950 +distributionهذا كل هذا اللي مظلّل شحناتي بدي بس + +44 +00:03:50,950 --> 00:03:54,310 +اللي بدي أرايحك أنا بدي جهود عند هذه النقطة ويعتبر + +45 +00:03:54,310 --> 00:03:58,690 +R much greater than R شرطة يعني أنا بدي أجيب + +46 +00:03:58,690 --> 00:04:01,990 +الجهود على النقطة بعيدة عن ال child distribution + +47 +00:04:01,990 --> 00:04:08,610 +انت فاكرنا هيك ولا؟ طيب نرجع لشبط رتنين قانون Colo + +48 +00:04:09,460 --> 00:04:14,180 +نقول V بسوء واحد على أربعة باقي أبسلون هو التكامل + +49 +00:04:14,180 --> 00:04:18,860 +رو دي تاو على R script، ساكرين هو؟ مش هذا قانون + +50 +00:04:18,860 --> 00:04:23,960 +كله؟ رو دي تاو على R script أو سيجما دي إيه على R + +51 +00:04:23,960 --> 00:04:27,640 +script أو لمدة دي L على R script، قليني يلّا + +52 +00:04:27,640 --> 00:04:34,940 +نعملهاأيش لجد؟ يقولك أنت عندك بس .. الآن معطي جديد + +53 +00:04:34,940 --> 00:04:40,440 +بقولك R أكبر كتير من R شرطة صح ولا لأ؟ أما هنا كنت + +54 +00:04:40,440 --> 00:04:44,940 +أقول عند أي R؟ هشتغل، عادي، هادي بقولي R much + +55 +00:04:44,940 --> 00:04:50,720 +greater than R شرطة R script ذاكرينها؟ اللي R ناقص + +56 +00:04:50,720 --> 00:04:54,780 +R شرطة، بدي أجيبها، قاللي هذه R وهذه R شرطة، R + +57 +00:04:54,780 --> 00:04:59,970 +script بدي أجيبها الـLaw of Cosineعملت مثلث using + +58 +00:04:59,970 --> 00:05:04,030 +the law of cosine نفس ما كنا نعمله نعمله بالتفصيل + +59 +00:05:04,030 --> 00:05:10,230 +و نطلع القانون R تربية ذات R شرطة تربية نقص اتنين + +60 +00:05:10,230 --> 00:05:13,790 +R R شرطة cos θ فيه مشكلة هذا ال law of cosine + +61 +00:05:13,790 --> 00:05:18,430 +يعرفه كله تمام يعني انا هي عندي مثلث بدي اجيب ال R + +62 +00:05:18,430 --> 00:05:24,060 +script بقول ربع حالي و ربع حاليناقص اتنين الأول و + +63 +00:05:24,060 --> 00:05:27,620 +dot التاني او R في R شرطة كوصينة ثيتا وهذا اللي + +64 +00:05:27,620 --> 00:05:30,260 +أعطيناه كمياتية بتقوه في سنة أولى في أول chapter + +65 +00:05:30,260 --> 00:05:36,780 +تمام قال لي بدي أظبطه بس شوية بدي أظبطه عدة و احنا + +66 +00:05:36,780 --> 00:05:41,020 +بالرايحين ال R script هذه الحلوة بتطلع R تربيح حد + +67 +00:05:41,020 --> 00:05:46,940 +عام مشترك ميحيك؟ لما تطلع عام مشترك بتصير R واحدة + +68 +00:05:46,940 --> 00:05:52,700 +اش هنا بصير واحد؟هي على R تربيع، هذي فيه R فوق، + +69 +00:05:52,700 --> 00:05:56,960 +بيصيروا R واحدة، دايما جالي هذا ال term كله، + +70 +00:05:56,960 --> 00:06:01,120 +شايفينه؟ كله، عشان انه كبير، بيدفع لدُقّه ايبسلون + +71 +00:06:01,120 --> 00:06:04,080 +واحد بيقول ايبسلون، احنا أخدناها في الكالكورس + +72 +00:06:04,080 --> 00:06:08,360 +الصغير، بظبطوا اللي دايما ايبسلون وDelta، هذي + +73 +00:06:08,360 --> 00:06:11,300 +الصغار، بيقول ما هو هذي الصغير، مانعش شرطي، مش هذي + +74 +00:06:11,300 --> 00:06:15,290 +أكبر كتير من هذيأذن هذا ترمي صغير وهذا صغير هذا + +75 +00:06:15,290 --> 00:06:19,330 +واحد منهم تربية اذا حطته هيك ليش بدك تعمل هيك؟ + +76 +00:06:19,330 --> 00:06:24,670 +بقوله بدي أعمل binomial expansion binomial + +77 +00:06:24,670 --> 00:06:29,810 +expansion تمام هل بدي أشوف ال binomial expansion؟ + +78 +00:06:29,810 --> 00:06:33,970 +with إبسلون زي ما حكينا الترم هذا كله إبسلون since + +79 +00:06:33,970 --> 00:06:36,410 +R much greater than + +80 +00:06:41,130 --> 00:06:48,970 +أحد نفق فيك كوكيا؟ أه هذا كان واقف فيك Since R + +81 +00:06:48,970 --> 00:06:53,090 +much greater than R شرطه بقولي إبسلون صغيرة إبسلون + +82 +00:06:53,090 --> 00:06:59,270 +صغيرة إذن الآن أنا بشغل على R script قلت واحد على + +83 +00:06:59,270 --> 00:07:05,880 +R script بتساوي واحد على هذاهي 1 على a وهذا في + +84 +00:07:05,880 --> 00:07:10,100 +المقام صار 1 زي ابسلون أس سلب نص لحد الآن مجمعين + +85 +00:07:10,100 --> 00:07:17,180 +معايا؟ 1 زي ابسلون سلب نص 1 زي ابسلون سلب نص بدي + +86 +00:07:17,180 --> 00:07:21,300 +اروح انا لل binomial expansion اللي اديتكم إياي + +87 +00:07:21,300 --> 00:07:22,080 +اللي هو ده هو + +88 +00:07:25,840 --> 00:07:30,300 +واحد نقص S أقص M بتسوي M Factorial على N Factorial + +89 +00:07:30,300 --> 00:07:33,300 +M نقص N Factorial في أبقى بين مش أنا بدي أكتب وحدة + +90 +00:07:33,300 --> 00:07:40,720 +عشان في منكم يمكن أول مرة يشوفوا M + +91 +00:07:40,720 --> 00:07:46,740 +Factorial على N Factorial M نقص N Factorial X أقص + +92 +00:07:46,740 --> 00:07:51,400 +N صح تمام + +93 +00:07:56,310 --> 00:08:03,370 +هذا اللي بدنا نستخدمه نفسه في انجيب expansion + +94 +00:08:03,370 --> 00:08:04,490 +بالطريقة هذه + +95 +00:08:17,520 --> 00:08:21,800 +طلعش أعمل it فانتجوا من 1 على R بدي أعمل expansion + +96 +00:08:21,800 --> 00:08:31,940 +هذه ال M أول حاجة M سالب نص هذا سالب نص هجيه سالب + +97 +00:08:31,940 --> 00:08:37,000 +نص وهذه سالب نص لأن هذه سفر بروحوا مع بعض فبصير + +98 +00:08:37,000 --> 00:08:45,050 +سفر factorial واحدx أُس صفر إذا أول term واحد صح + +99 +00:08:45,050 --> 00:08:51,510 +ولا لأ؟ إذا أول term هيو بعد كده بتصير هذه عبارة + +100 +00:08:51,510 --> 00:08:57,710 +عن هذه خلينا M M ناقص واحد factorial وهذه واحد + +101 +00:08:57,710 --> 00:09:03,450 +factorial وهذه x أس واحد مظبوط ولا لأ تمام هذه M + +102 +00:09:03,450 --> 00:09:06,890 +factorial وهذه M ناقص واحد factorial هذه كيف بتصير + +103 +00:09:06,890 --> 00:09:15,060 +هذه؟ مين فكها؟م في م ناقص واحد فاكتوريا ان هذه ما + +104 +00:09:15,060 --> 00:09:20,080 +حد روحت ايش بطلها دي؟ جدش M؟ سلب نص سلب نص لأن M + +105 +00:09:20,080 --> 00:09:24,980 +هي ده هي اللي هنا هي سلب نص فأيه السلب نص؟ تمام؟ + +106 +00:09:24,980 --> 00:09:31,500 +بعدين X أُص واحد اللي هي إبسلون ال X اللي عندي + +107 +00:09:31,500 --> 00:09:35,220 +إبسلونبعد كده بيجي ال term اللي وراه بقعد كده بيجي + +108 +00:09:35,220 --> 00:09:38,280 +ال term اللي وراه، هيك بيفك، بس عشان تتذكروا كيف + +109 +00:09:38,280 --> 00:09:44,060 +بتفكوا، فكيتوا؟ قبل كده؟ + +110 +00:09:44,060 --> 00:09:49,260 +خدتوه، خدتوه تمه؟ فهي هيك بس العملية بتفك، عشان في + +111 +00:09:49,260 --> 00:09:51,280 +الضغط اللي بتطلعه، هي اللي عملتينين، الضغط اللي + +112 +00:09:51,280 --> 00:09:54,060 +عليك بتعمل تينين اللي وراها، بنفس الطريقة اللي توا + +113 +00:09:54,060 --> 00:09:58,700 +عملناها تمه؟ قال خلصنا، هي فكيتها إبسلون هذه + +114 +00:09:58,700 --> 00:10:02,660 +الحلوة هيهامظبوط ولا لأ؟ بدي اعوض محل الـ epsilon + +115 +00:10:02,660 --> 00:10:09,220 +بهذا المقدار عادي تمام؟ Substituting for epsilon + +116 +00:10:09,220 --> 00:10:14,020 +back and collecting together like powers صار + +117 +00:10:14,020 --> 00:10:22,520 +السؤال هيك جمعناها epsilon + +118 +00:10:22,520 --> 00:10:27,610 +واحد نقص epsilon تلاتة ع اتنين epsilon تربيةو5 ع + +119 +00:10:27,610 --> 00:10:30,590 +16 أبسلون تكعيب، مظبوط ولا لأ؟ بس عوضت في محل + +120 +00:10:30,590 --> 00:10:35,510 +أبسلون تمام، لما يجي تطلع، قال هذا بس مفهوش يجمع + +121 +00:10:35,510 --> 00:10:39,190 +ليهم، جمعهم، فيه ممكن يجمعوا، اضرب هذا في هذا و + +122 +00:10:39,190 --> 00:10:43,230 +هذا في هذا، ربع هذا، حصل عندك هذا تربيع و هذا + +123 +00:10:43,230 --> 00:10:46,350 +تربيع، مظبوط ولا لأ؟ لما تتربع حان، و هنا في عندك + +124 +00:10:46,350 --> 00:10:50,130 +كمان هذا لما تيجي هيجيك cosine تربيع كمان، مظبوط + +125 +00:10:50,130 --> 00:10:54,670 +ولا لأ؟ لما تشتغلها، بديك رواقة شوية، و تشتغلها + +126 +00:10:54,670 --> 00:11:02,990 +بالراحةهتطلع هيك صدقوا أنه بطلع يعني صدقوا ما + +127 +00:11:02,990 --> 00:11:05,330 +تصدقيش أنت حر الله عالضرر أعمل إيه بعمل اللي ليكي + +128 +00:11:05,330 --> 00:11:10,670 +homework تجيبليها تمام سهل يعني و أنا ماأقولكوا + +129 +00:11:10,670 --> 00:11:14,950 +بصدقوا يعني بكون سهل شغل رياضيات بسيط إن عمل هيك + +130 +00:11:14,950 --> 00:11:22,880 +لما اتظبط في هذه الحالة اتطلعوا على لجين ضرقالوا + +131 +00:11:22,880 --> 00:11:28,420 +انت دتني في لجندر بي سفر بساوي واحد بي واحد بتساوي + +132 +00:11:28,420 --> 00:11:33,460 +X طبعا انا في ال X عندى cosine ثيتا بي اتنين اظن + +133 +00:11:33,460 --> 00:11:38,740 +اتنين cosine تربيع الثيتا او تلاتة ناقص واحد ع + +134 +00:11:38,740 --> 00:11:42,880 +اتنين وضلوا ماشيين جابوا كتاب ال mathematical + +135 +00:11:42,880 --> 00:11:48,900 +physics واطلوا ع ال bees قالوا ها دي بي سفرهذه بي + +136 +00:11:48,900 --> 00:11:53,080 +واحد وهذه بي اتنين وهذه بي تلاتة اللي وراها طلعت + +137 +00:11:53,080 --> 00:11:56,460 +بي اربعة اللي وراها بي خمسة قالوا إذن الجواب طلع + +138 +00:11:56,460 --> 00:12:00,760 +بجلالة ال peace وزي ما اتفقيل ال agenda يا بنات + +139 +00:12:00,760 --> 00:12:05,020 +بصير مشهور زي شهورة ال sine و ال cosine function + +140 +00:12:05,020 --> 00:12:09,910 +مشهورلما اطلعوا عليه بالمقارنة قالوا referring + +141 +00:12:09,910 --> 00:12:13,490 +back to the Rodriguez formula of Legendar قالوا + +142 +00:12:13,490 --> 00:12:18,010 +ارجع لتابعة Legendar لقوا انه B0 of X بسوان هذا X + +143 +00:12:18,010 --> 00:12:23,850 +هذا نص تلت X سربيع و هكذا هذا كتاب الmathematical + +144 +00:12:23,850 --> 00:12:27,690 +physics جندنا مفتحه و منجيب Legendar قالوا هذا هو + +145 +00:12:27,690 --> 00:12:34,600 +هذا B0هذا بي واحد وهذا بي اتنين لان ال X cos θ هذا + +146 +00:12:34,600 --> 00:12:40,460 +بي تلاتة و هكذا تمام قالوا اذا sorry جواب the last + +147 +00:12:40,460 --> 00:12:44,560 +equation can be written as اللي هي واحد على R + +148 +00:12:44,560 --> 00:12:48,420 +script كيف اكتبها قال ال R script هي كيف تكتب + +149 +00:12:52,160 --> 00:12:55,520 +Summation، اتطلعوا، هذه 1 على R اللي طلعته برا، + +150 +00:12:55,520 --> 00:13:02,700 +وهذه R شرطة على R، R شرطة على R أس 0، R شرطة على R + +151 +00:13:02,700 --> 00:13:07,440 +أس 1، R شرطة على R أس 2، R شرطة على R أس 3، و هكذا + +152 +00:13:07,860 --> 00:13:11,940 +تمام؟ إذا صار طبعا واحد على R الخارجي برضه حافظت + +153 +00:13:11,940 --> 00:13:17,340 +عليه فواحد على R R شرطة أس R أس N وهذه PN فلما + +154 +00:13:17,340 --> 00:13:21,360 +أفكها هذه صفر صفر واحد واحد اتنين اتنين تلاتة + +155 +00:13:21,360 --> 00:13:24,680 +تلاتة وهاكذا جالي طب جيبلي الجهود بقوله هيا إذا + +156 +00:13:24,680 --> 00:13:27,340 +ارجع للجهود هي الجهود + +157 +00:13:30,170 --> 00:13:34,670 +هذا الجهد لأي charge distribution بشرط وحيد ان R + +158 +00:13:34,670 --> 00:13:38,830 +تكون أكتر كتير من R شرطة بس اذا هذه شرطة يا بنات + +159 +00:13:38,830 --> 00:13:46,210 +ان R much greater than R شرطة بس وبجيب كل حاجة + +160 +00:13:46,210 --> 00:13:46,650 +منها + +161 +00:13:50,850 --> 00:13:54,130 +تمام؟ قدّم نشوف كيف محلاها بتصير يعني هي الشرط + +162 +00:13:54,130 --> 00:13:58,290 +الوحيد هي في مسائل حلناها في chapter 2 وفي أول + +163 +00:13:58,290 --> 00:14:01,510 +chapter 3 بنعود نحلها بهذه الطريقة ونشوف بتطلع + +164 +00:14:01,510 --> 00:14:07,270 +الجواب ولا لا تمام؟ بس مجرد the first term قال لي + +165 +00:14:07,270 --> 00:14:14,270 +خلينا نفُك أول term ال first term يا بنادر مين + +166 +00:14:14,270 --> 00:14:18,430 +بيقعد فى فُك معايا؟ مدى فُك أول term يا هدى أش + +167 +00:14:18,430 --> 00:14:24,880 +بتحط بحلين؟0 يلّا نجليني هيا هذي K هذي بتساوي K + +168 +00:14:24,880 --> 00:14:32,140 +يلّا هذي ال summation بدي أفكها R أُس 0 زي 1 تكامل + +169 +00:14:32,140 --> 00:14:41,780 +R شرطة أُس 0 واحد بي سفر واحد واحد رو دي تاو إيش + +170 +00:14:41,780 --> 00:14:46,380 +هذي Q إذا طلعت K Q على R + +171 +00:14:49,380 --> 00:14:54,900 +أمكوش شفته؟ مش هذا قانون معروف؟ لشحنة واحدة؟ عشان + +172 +00:14:54,900 --> 00:14:58,740 +كده بسميه لهذا ال term monopole. monopole ايش يا + +173 +00:14:58,740 --> 00:15:02,840 +عم نقول لشحنة واحدة؟ monopole اذا the first term + +174 +00:15:02,840 --> 00:15:07,000 +unequal to zero of equation 31 gives the monopole + +175 +00:15:07,000 --> 00:15:12,400 +contribution اتفجنا؟ طيب ما؟ بدنا نفوك هال gate ان + +176 +00:15:12,400 --> 00:15:19,220 +بتساوي لحد التالي ان بتساوي واحد يلّاهذا اتفاقنك + +177 +00:15:19,220 --> 00:15:27,460 +ايه؟ هجت 1 على R تربيع تكامل R شرطة جدّيش بيه 1 + +178 +00:15:27,460 --> 00:15:35,520 +Cos θ رو دي تره صح ولا لأ؟ لو اعتبرت انت هذه + +179 +00:15:35,520 --> 00:15:42,180 +بتساوي Q وهذه R شرطة صارت Q شرطة في R شرطة هل + +180 +00:15:42,180 --> 00:15:49,270 +بتقدر تعتبرها هذه P الشحنة في المسافة؟مظبوط؟ صارت + +181 +00:15:49,270 --> 00:15:59,090 +وكأنها K على R تربيع وهذه P Cos θ صح؟ طيب P Cos θ + +182 +00:15:59,090 --> 00:16:04,750 +ممكن تعتبرها P ضد الارهات صح؟ هذه تحت الـdipole + +183 +00:16:04,750 --> 00:16:11,000 +إذن الterm التاني دا الـdipoleأول term سميته + +184 +00:16:11,000 --> 00:16:15,000 +monopole ثانت ترم سميته dipole تالت ترم بسميه ال + +185 +00:16:15,000 --> 00:16:20,620 +quadrupole تمام؟ والثالث هو ال quadrupole and so + +186 +00:16:20,620 --> 00:16:29,560 +on زي ما توي عملتها عملها كمان مرة بس بخط أحلى هذا + +187 +00:16:29,560 --> 00:16:35,920 +ال monopole وهذه تبع ال dipoleR hat dot عشان ال + +188 +00:16:35,920 --> 00:16:41,080 +cos θ اللي كتبتها R شرط رودي تاو قال لي هذه + +189 +00:16:41,080 --> 00:16:44,940 +المفروض تكون ال dipole ال P ال dipole moment + +190 +00:16:44,940 --> 00:16:49,680 +قررتها بتاعة ال dipole قال لي إذا كانت ال dipole + +191 +00:16:49,680 --> 00:16:53,820 +moment هو نفس الوحدات شحنة في مسافة و هي أصلا ال + +192 +00:16:53,820 --> 00:17:00,200 +dipole moment Q في D تمامبتساوي R شرط رو دي تاو + +193 +00:17:00,200 --> 00:17:03,380 +هذه R شرط رو دي تاو لما عندك تكون charge + +194 +00:17:03,380 --> 00:17:07,500 +distribution طب لما يكون الشحنات منفصلة التكامل ما + +195 +00:17:07,500 --> 00:17:16,200 +هو summation صح ولا لأ فهذا هي بدل هذه دي Q ولا مش + +196 +00:17:16,200 --> 00:17:26,240 +دي Q هذه؟ مظبوط والدي Q هي أحد الشحنات هي QiوR + +197 +00:17:26,240 --> 00:17:32,920 +شرطة إحداثي لـQ هنا إحداثي لـQ شرطة فهذه هي هذه + +198 +00:17:32,920 --> 00:17:37,500 +الـP لكي لا نرى ما الذي نريد أن نفعل لهذا السبب + +199 +00:17:37,500 --> 00:17:45,940 +حلت الأسئلة إذا V بتساوي R رجعناها Note that for + +200 +00:17:45,940 --> 00:17:50,260 +two equal but opposite pointed charges اللي حلته + +201 +00:17:50,260 --> 00:17:59,270 +المحاضرة الماضية زي هيكهي Q وهي سالم Q ذاكرينه؟ + +202 +00:17:59,270 --> 00:18:07,170 +بدي ال monopole term كبرته ال + +203 +00:18:07,170 --> 00:18:14,910 +monopole هيه هيه جديش ال monopole تبعه بدي + +204 +00:18:14,910 --> 00:18:18,130 +أسمع مش سامع احكي مش بعبك احكي + +205 +00:18:21,430 --> 00:18:25,990 +يعني ليه زيرو؟ عشان ال total charge زيرو عشان + +206 +00:18:25,990 --> 00:18:28,850 +مجموع الشحنتين زيرو ما هوش هو Q مش Q ال total + +207 +00:18:28,850 --> 00:18:31,590 +charge طب هذه واحدة موجة بواحدة سلسلة ماجدش + +208 +00:18:31,590 --> 00:18:35,490 +مجموحها إذا مافيش إله monopole term وهو هذا لأنه + +209 +00:18:35,490 --> 00:18:38,410 +مش monopole هو أصلاً dipole منطق أنه ماكنلوش + +210 +00:18:38,410 --> 00:18:43,850 +monopole term طب نيجي ال dipoleأنت بتقول لي Q شرطة + +211 +00:18:43,850 --> 00:18:49,010 +QIRI طبعا انا لشحناتي المنفصلة باخد هذا الشحنة + +212 +00:18:49,010 --> 00:18:55,830 +باخد هذا طيب أكم شحنة فيه إذا P بالساوية Q1 R1 + +213 +00:18:55,830 --> 00:19:02,890 +شرطة ده دي Q2 R2 شرطة مش هي قصيرة تم هذه ال origin + +214 +00:19:02,890 --> 00:19:09,660 +و كانت هذه كلها ديمظبوط هيك المحاضرة الماضية؟ تمام + +215 +00:19:09,660 --> 00:19:17,180 +الـ Q واحد قداش؟ Q منقولي R واحد شرط إيش هي؟ هي + +216 +00:19:17,180 --> 00:19:23,560 +إحداث Q الفجانية إيش إحداثياتها؟ D على 2 باتجاه + +217 +00:19:23,560 --> 00:19:31,320 +الـ K ناقص Q إيش إحداثياتها؟ Vector + +218 +00:19:35,460 --> 00:19:40,740 +ها دي السالب لهاي هادي Q2 ايش بتساوي Q2؟ سالب Q + +219 +00:19:40,740 --> 00:19:48,360 +إذا السالب محلي Q2 هجت بدي R2 شرطة هجت بدي R2 شرطة + +220 +00:19:48,360 --> 00:19:56,880 +بتساوي D ع 2 بالسالب K مش هيك؟ إذا صارت سالب D ع 2 + +221 +00:19:56,880 --> 00:20:00,980 +باتجاه ال K بتساوي + +222 +00:20:00,980 --> 00:20:04,420 +و D ع 2 و D ع 2 + +223 +00:20:08,760 --> 00:20:13,760 +ماذا هذي؟ هي P هي P تبعتي اللي حليتها المرة هذيك + +224 +00:20:13,760 --> 00:20:20,900 +صح ولا لأ تمام As + +225 +00:20:20,900 --> 00:20:26,480 +expected + +226 +00:20:26,480 --> 00:20:31,620 +Note that if the total charge is zeroأما بالنسبة + +227 +00:20:31,620 --> 00:20:35,900 +لـ Dipole case المصطلح الوحيد مختلف مثلما حكت نور + +228 +00:20:35,900 --> 00:20:44,420 +المصطلح الوحيد مختلف والمصطلح + +229 +00:20:44,420 --> 00:20:48,780 +الوحيد هو المصطلح الرئيسي لأموال بعيدة من تلك + +230 +00:20:48,780 --> 00:20:53,880 +المصطلحة دعونا نشوف المشكلة 27 انا ضفت خمس أسئلة + +231 +00:20:53,880 --> 00:20:59,240 +على هذه المجموعة اللي قدامكتمام؟ في خمس أسئلة + +232 +00:20:59,240 --> 00:21:05,360 +هينضعفوا عندكم هنا يعني من هنا أيوة تضيفي بعد الـ + +233 +00:21:05,360 --> 00:21:14,260 +26 أدكم تاخدوهم 27 و 28 تمام + +234 +00:21:14,260 --> 00:21:20,440 +من هدول الخمسة بدحل اتنين هاي السؤال 27 26 سهل + +235 +00:21:20,440 --> 00:21:25,720 +يعني فلته انا لأنه مجرد شغل رياضي اطلعوا هذا + +236 +00:21:25,720 --> 00:21:32,810 +السؤالبيقول لي four particles عندك أربع شحنات are + +237 +00:21:32,810 --> 00:21:36,250 +placed as shown find a simple approximation + +238 +00:21:36,250 --> 00:21:39,570 +formula for the potential at points far from the + +239 +00:21:39,570 --> 00:21:42,230 +origin far from the origin إذا المعادلة اللي أنا + +240 +00:21:42,230 --> 00:21:45,550 +حاطيتها بتنفع اللي كان شرطها أن R تكون أكبر كتير + +241 +00:21:45,550 --> 00:21:52,350 +من R شرطها حلو يالا يا نور بدي المنبول بتقولليش + +242 +00:21:52,350 --> 00:21:56,670 +أكيد شوفيه انت انا انا انا انا انا انا انا انا انا + +243 +00:21:56,670 --> 00:21:57,610 +انا انا انا انا انا انا انا انا انا انا انا انا + +244 +00:21:57,610 --> 00:21:57,610 +انا انا انا انا انا انا انا انا انا انا انا انا + +245 +00:21:57,610 --> 00:21:57,650 +انا انا انا انا انا انا انا انا انا انا انا انا + +246 +00:21:57,650 --> 00:21:57,690 +انا انا انا انا انا انا انا انا انا انا انا انا + +247 +00:21:57,690 --> 00:21:57,930 +انا انا ا + +248 +00:22:02,730 --> 00:22:07,310 +تشومل بالغباعة؟ تشومل بالغباعة؟ هتجوبل بالغباعة؟ + +249 +00:22:07,310 --> 00:22:10,970 +خلّيها + +250 +00:22:10,970 --> 00:22:15,370 +زلمة، كاملة طيب، ماناقوش بعد، كدوش مجموحه + +251 +00:22:15,370 --> 00:22:22,450 +للوفقيات؟ سالب أربعة، طب والعموديات؟موجة ولا سالب + +252 +00:22:22,450 --> 00:22:25,970 +المعامدية؟ موجة واحد لأكتر؟ سالب اجمع أيهم كلهم؟ + +253 +00:22:25,970 --> 00:22:31,490 +لكن كل واحد في اتجاهها انت بتجمع كيوز كيو؟ كيو + +254 +00:22:31,490 --> 00:22:36,050 +فيكتر؟ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +255 +00:22:36,050 --> 00:22:36,350 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +256 +00:22:36,350 --> 00:22:36,450 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +257 +00:22:36,450 --> 00:22:37,890 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +258 +00:22:37,890 --> 00:22:49,590 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +259 +00:22:50,270 --> 00:22:54,990 +0 إذا ما كانت الـ monopole؟ Zero إذا الراية حوالي + +260 +00:22:54,990 --> 00:22:59,650 +مين هتجهت؟ على الضيبون الضيبون ماشي بيقولي بيقولي + +261 +00:22:59,650 --> 00:23:07,110 +P بتسوى ال summation على I QIR I hat مش سوية + +262 +00:23:07,110 --> 00:23:13,370 +كتبناها أكمتر بدى هتجهت عامةأربعة رمات بتساوي Q + +263 +00:23:13,370 --> 00:23:19,210 +واحد R واحد prime زاد Q اتنين R اتنين prime زاد Q + +264 +00:23:19,210 --> 00:23:24,630 +تلاتة R تلاتة prime زاد Q أربعة R أربعة prime + +265 +00:23:24,630 --> 00:23:32,990 +يالا، من وين تبدأ؟ من وين تبدأ؟ من وين تبدأ؟ أي + +266 +00:23:32,990 --> 00:23:39,810 +واحدة منهم تعتبرها أولا؟ من هذه تلاتة Q، ما هي + +267 +00:23:39,810 --> 00:23:40,690 +أهدافيتها؟ + +268 +00:23:46,160 --> 00:23:54,300 +يعني قداش بس باتجاه Z، إيش البعد؟ مظبوط + +269 +00:23:54,300 --> 00:23:59,020 +هيك؟ طيب، تلاتة بدّي امشم تضع قريب الساعة، إيش + +270 +00:23:59,020 --> 00:24:06,120 +التانية؟ سالب 2Q، إيش حدثياتها؟ + +271 +00:24:06,120 --> 00:24:11,080 +سالب + +272 +00:24:11,080 --> 00:24:12,740 +A باتجاه الـ J + +273 +00:24:18,380 --> 00:24:25,100 +مجليني خلصت من هذه الـ Q زائد Q إيه + +274 +00:24:25,100 --> 00:24:32,980 +اتجاه الـ Z عشان أنا عملت الـ Z أخر واحدة الـ + +275 +00:24:32,980 --> 00:24:42,360 +Y صحيح تمام اجمعوا ال I مع ال I و ال Z مع ال Z ال + +276 +00:24:42,360 --> 00:24:45,500 +Y مع ال Y أول خلّيني مع ال Y + +277 +00:24:52,920 --> 00:25:02,080 +طلعوا بروحوا ال Y بروحوا تمام و ال Z اتنين انا صح + +278 +00:25:02,080 --> 00:25:07,680 +اصحى اليوم انا اليوم اتنين QA باتجاه ايش؟ هاي ال + +279 +00:25:07,680 --> 00:25:11,720 +dipole moment المونوبول جديش طلع معانا نسمع زفر + +280 +00:25:11,720 --> 00:25:17,040 +هذا ال dipole تمامأذا الـ monopole روح الـ dipole + +281 +00:25:17,040 --> 00:25:20,620 +جيبته بكفي احنا عندنا تتذكرين ال monopole ال + +282 +00:25:20,620 --> 00:25:24,300 +dipole ال quadruple و انا بعمل expansion جيبت واحد + +283 +00:25:24,300 --> 00:25:27,900 +بكفيك مظبوط ولا لأ؟ زي ما تقولنا عن ال sine و ال + +284 +00:25:27,900 --> 00:25:32,580 +cosine قولت بلأ بس جيب حد واحد تمام؟ إذا الأول سفر + +285 +00:25:32,580 --> 00:25:37,240 +بتروح على التاني؟ في حدا منكم نسقطه؟ ماخد ال + +286 +00:25:37,240 --> 00:25:43,940 +quantum mechanics؟ أكيد ولا واحدة؟ when we are مش + +287 +00:25:43,940 --> 00:25:53,190 +موجودةطيب إذا هذه 2QA في الـ Z الـ P عملناها إذا + +288 +00:25:53,190 --> 00:25:57,090 +الـ monopole is obviously zero الـ monopole is + +289 +00:25:57,090 --> 00:26:01,270 +zero Now using equation 32 we have for the dipole + +290 +00:26:01,270 --> 00:26:06,330 +اللي توي عملتها و هدول جمعتهم الأربعة طلعوا 2QA + +291 +00:26:06,330 --> 00:26:09,230 +باتجاه الكيك اللي خلصها ايش الجهد؟ قلتله الجهد ما + +292 +00:26:09,230 --> 00:26:14,050 +هو هنا KP.R hat على أرتال P وهي ال P جيبتلكيها + +293 +00:26:15,010 --> 00:26:23,230 +مظبوط او لا؟ ليس دايبول فهذا هو الجهود P + +294 +00:26:23,230 --> 00:26:26,590 +ضد الارض ضد البرودكت بديب كوسيني الثيتا هذا سؤال + +295 +00:26:26,590 --> 00:26:32,250 +سبعة وعشرين طبعا اذا أحد يقول أنه يريد أن أحل وانا + +296 +00:26:32,250 --> 00:26:35,730 +لحالي هكذا، فأقول له أنت تجلد ساعاتتحلوا من الـ + +297 +00:26:35,730 --> 00:26:38,870 +Zero يعني بمعنى أخر انت قاعد بتجيب جهود عند نقطة + +298 +00:26:38,870 --> 00:26:42,490 +هنا بعيدة كتير، شايف؟ لكن تجيب بعض هادي عن هادي و + +299 +00:26:42,490 --> 00:26:44,470 +بعض هادي عن هادي و بعض هادي عن هادي و بعض هادي عن + +300 +00:26:44,470 --> 00:26:47,870 +هادي و تعمل معادلة رياضية طويلة عريضة هنا عرضتها + +301 +00:26:47,870 --> 00:26:53,610 +على طول بالـ Expansion طيب، كمان سؤال شوف سؤال إيش + +302 +00:26:53,610 --> 00:26:59,400 +سؤال 28 بيقول لي انت مش هذيك مرة حلتسؤال باستخدام + +303 +00:26:59,400 --> 00:27:04,140 +لابلاس الكرة اللي عليها سيجما و سيجما تعتمد على + +304 +00:27:04,140 --> 00:27:07,960 +ثيتا و قلنا لكم أننا لا نستخدم جاوس لأن سيجما + +305 +00:27:07,960 --> 00:27:11,480 +تعتمد على ثيتا أجيبه السؤال بس أجيبه عشان أجيب + +306 +00:27:11,480 --> 00:27:21,020 +جوابه و ده حلو بطريقة تانية الآن باسم + +307 +00:27:21,020 --> 00:27:26,390 +ده اكتب الجوابأن يوميتها إيش كنت طالب؟ V إنه Out + +308 +00:27:26,390 --> 00:27:31,010 +طب قبل ما أكمل بالطريقة الجديدة بقدر أجيب V إنه V + +309 +00:27:31,010 --> 00:27:34,990 +Out ولا بس واحدة؟ + +310 +00:27:34,990 --> 00:27:38,970 +إيش شرط في الطريقة اللي ..؟ إذا V إنه بقدرش أجيبها + +311 +00:27:38,970 --> 00:27:42,710 +أنا بقدر أجيب بس V Out لأن هذا المعادلة، الطريقة + +312 +00:27:42,710 --> 00:27:47,150 +الجديدة، إلها شرط إنه R تكون كبيرة و N بينفعش تكون + +313 +00:27:47,150 --> 00:27:54,310 +كبيرة إذا أنا بدي أجيب هذا صح؟ نكتبه هنا Vبتساوي + +314 +00:27:54,310 --> 00:27:58,070 +طبعا هذا سؤال مش approximate هذا exact جبته تمام + +315 +00:27:58,070 --> 00:28:07,130 +التمام كارتكعيب على تلاتة ابسلون نوت كوصين الثيتا + +316 +00:28:07,130 --> 00:28:11,930 +على ارتربيه هاي جوابي هذا جبته بطريقة تدقت لبلاس + +317 +00:28:11,930 --> 00:28:16,170 +حلته واشتغلت عليه طيب لأ انا بدي بطريقة ليجيدة + +318 +00:28:16,170 --> 00:28:19,990 +نشوف ايش كاتب سؤال تمانية وعشرين + +319 +00:28:24,710 --> 00:28:42,750 +أتشارج جنسيتي بقول + +320 +00:28:42,750 --> 00:28:48,230 +اتشارج جنسيتي بقول اتشارج جنسيتي بقول اتشارج + +321 +00:28:48,230 --> 00:28:51,170 +جنسيتي بقول اتشارج جنسيتي بقول اتشارج جنسيتي بقول + +322 +00:28:51,170 --> 00:28:53,250 +اتشارج جنسيتي بقول اتشارج جنسيتي بقول اتشارج + +323 +00:28:53,250 --> 00:28:53,250 +جنسيتي بقول اتشارج جنسيتي بقول اتشارج جنسيتي بقول + +324 +00:28:53,250 --> 00:28:53,250 +اتشارج جنسيتي بقول اتشارج جنسيتي بقول اتشارج + +325 +00:28:53,250 --> 00:28:53,250 +جنسيتي بقول اتشارج جنسيتي بقول اتشارج جنسيتي بقول + +326 +00:28:53,250 --> 00:28:53,250 +اتشارج جنسيتي بقول اتشارج جنسيتي بقول اتشارج جنس + +327 +00:28:54,700 --> 00:28:58,300 +Find approximate potential، كل شغل هو approximate + +328 +00:28:58,300 --> 00:29:03,100 +في الطريقة هذه، for points far from the sphere، + +329 +00:29:03,100 --> 00:29:06,720 +تمام، عشان تستخدم طريقة تبعتك الجديدة، قلتله يلا + +330 +00:29:06,720 --> 00:29:09,680 +الطريقة الجديدة، عوضك تجيبي الـmonopol، إذا جيبته + +331 +00:29:09,680 --> 00:29:13,280 +بكفيالـ Monopole تظهر في الرشو مين تروح تجيب الـ + +332 +00:29:13,280 --> 00:29:17,080 +Double غصب عنك احنا قاعدين نعمل هدول عدة ترمات + +333 +00:29:17,080 --> 00:29:21,120 +approximate و انا عارف هم صغار وبالتالي أول team + +334 +00:29:21,120 --> 00:29:24,580 +انسك تاني لإن التاني أصغر ال team من الأول لكن لما + +335 +00:29:24,580 --> 00:29:29,000 +يكون الأول Zero غصب عنك بدي تجيب التاني مافيش داعي + +336 +00:29:29,000 --> 00:29:32,200 +اجيب التالت يعني أي واحد فيهم مطلع ال Zero مكفيكي + +337 +00:29:32,200 --> 00:29:36,040 +تمام اللي هو كتب لـ Calculate The Double Moment + +338 +00:29:36,040 --> 00:29:40,870 +بدي اجيب الـ Monopoleأولا شوفوا الـ monopole هل + +339 +00:29:40,870 --> 00:29:43,370 +جيت مقدرش أقول الـ monopole بيستخدم صفر البرنامج + +340 +00:29:43,370 --> 00:29:46,590 +لشعته؟ مش شحنة و سلب شحنة، صح ولا لأ؟ هكذا بدأ + +341 +00:29:46,590 --> 00:29:50,210 +أجيبه، قال لي الـ monopole هو أصلا تباعي تبعي + +342 +00:29:50,210 --> 00:29:56,090 +عبارة عن تكامل رو دي تاو، مظبوط هيك ولا لأ؟ رو دي + +343 +00:29:56,090 --> 00:30:00,290 +تاو، طيب أنا عنديش هال gate رو ولا دي تاو، عندي + +344 +00:30:00,290 --> 00:30:07,350 +سيجما، بسيطة، سيجما دي إيه؟زاكرين رو دي تا سيجما + +345 +00:30:07,350 --> 00:30:11,910 +دي إيه أو لمدة دي إيه؟ حسب سؤالنا طيب إيه + +346 +00:30:11,910 --> 00:30:14,110 +بالـspecial coordinates؟ إيش كتبت عليها؟ إيش + +347 +00:30:14,110 --> 00:30:20,590 +الثابت؟ إذا هذه عبارة عن R تربية ساين فيتا دي فيتا + +348 +00:30:20,590 --> 00:30:29,030 +هذه إيش بتساوي؟ هيها، أدينيها K كوساين فيتا إذا + +349 +00:30:29,030 --> 00:30:33,330 +إيش صار في عندي تكامل؟ كوساين فيتا ساين فيتا دي + +350 +00:30:33,330 --> 00:30:33,770 +فيتا + +351 +00:30:36,520 --> 00:30:40,520 +إيه السكامولها دى؟ + +352 +00:30:40,520 --> 00:30:50,180 +sign تربيع عتمى sign سفر و sign يلبى إذا ال + +353 +00:30:50,180 --> 00:31:00,080 +monopoly روح صح ال monopoly روح تمام طلعوا عليا بس + +354 +00:31:00,080 --> 00:31:04,700 +بهمش عشان ما تستغربوش كتير where ال theta تبعتي مش + +355 +00:31:04,700 --> 00:31:09,850 +هيها؟صح؟ من الـ spherical coordinates هي هالفيتا + +356 +00:31:09,850 --> 00:31:15,750 +طيب عند النقطة هذه جديد الفيتا بتكون؟ جدش سيجما + +357 +00:31:15,750 --> 00:31:22,590 +بتكون ساعتها؟ K كيك براو شوية شوية بتجل ولا لا؟ طب + +358 +00:31:22,590 --> 00:31:26,590 +عند النقطة هذه جدش سيجما؟ سالب كيك؟ سالب كيك؟ سالب + +359 +00:31:26,590 --> 00:31:29,610 +كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب + +360 +00:31:29,610 --> 00:31:31,290 +كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب + +361 +00:31:31,290 --> 00:31:37,830 +كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟ سالب كيك؟أنتوا + +362 +00:31:37,830 --> 00:31:40,310 +عليا؟ عشان ما تصرفموش ليش طلع الـ Monopoly Zero + +363 +00:31:40,310 --> 00:31:45,230 +لأنه هو أصلا كونه جلي باعتمد ع فيته يعني نص موجب و + +364 +00:31:45,230 --> 00:31:48,970 +نص سالب كل الفوق زاوية حادة و قصان زاوية حادة موجب + +365 +00:31:48,970 --> 00:31:52,270 +لكن بعد كده بصير الزاوية المنفرجة و قصان الزاوية + +366 +00:31:52,270 --> 00:31:56,050 +المنفرجة سالب ففي النص الفوجاني موجب و النص + +367 +00:31:56,050 --> 00:31:59,830 +التحتاني سالب بس طبعا مش موزع بانتظام هنا أكتر + +368 +00:31:59,830 --> 00:32:03,030 +حاجة بعدين ببدأ جلي جلي جلي جلي طب هدا جديش هنا + +369 +00:32:03,030 --> 00:32:09,010 +الشحنة ده؟zero و هنا zero تمام؟ عادى احسن فيه ما + +370 +00:32:09,010 --> 00:32:11,590 +لو حد بدي فاكر كان في الشحنات مش مشكلة اذا اتفقنا + +371 +00:32:11,590 --> 00:32:14,150 +ان ال monopole جالديش يطلع معايا zero و قال ليه + +372 +00:32:14,150 --> 00:32:16,450 +جيش يجيبني ال monopole لانه عارفه zero قال جيبني + +373 +00:32:16,450 --> 00:32:19,510 +ال die ball طبعا انا كاتب هنا for the monopole ان + +374 +00:32:19,510 --> 00:32:22,230 +بتساوي zero in equation we have هاي جيبت ال + +375 +00:32:22,230 --> 00:32:24,930 +monopole طلع zero مفيش لها ال monopole اذا اضطر + +376 +00:32:24,930 --> 00:32:29,150 +اجيب ال die ball using equation 30t for the die + +377 +00:32:29,150 --> 00:32:29,410 +ball + +378 +00:32:34,560 --> 00:32:40,640 +We get P بديش أعمل الصممشي بدي أعمل التكامل R شرطة + +379 +00:32:40,640 --> 00:32:44,520 +Sigma دي إيه؟ هي رو دي تاوي أصلا رو دي تاوي ال + +380 +00:32:44,520 --> 00:32:48,360 +default لكن شكلي بيقول الشحنات موزعة على إيش؟ على + +381 +00:32:48,360 --> 00:32:55,460 +سطح تمام إيش هي R شرطة؟ نسمع إيش هي R شرطة؟ R شرطة + +382 +00:32:55,460 --> 00:32:58,400 +إيش هي؟ من شبتر اتنين إيش تاخديها R شرطة؟ من شبتر + +383 +00:32:58,400 --> 00:33:04,780 +واحدبعد العنصر الشحنة أو العنصر أو ال source حلو + +384 +00:33:04,780 --> 00:33:11,680 +وين الشحنات موجودة جيبلي أحدثيتها أي عنصر منهم أي + +385 +00:33:11,680 --> 00:33:15,460 +عنصر وين ما تحط أصبعك حطي عنصر يعني ما تحطي الجزء + +386 +00:33:15,460 --> 00:33:20,600 +منها ال surface و بتجيبلي R شرطة spherical + +387 +00:33:20,600 --> 00:33:20,920 +coordinates + +388 +00:33:37,780 --> 00:33:44,760 +صح؟ بس spherical coordinates إذا البديل R شرطة + +389 +00:33:44,760 --> 00:33:53,020 +حطيت capital R R hatمظبوط ولا لأ؟ طبعا هذه الـDA + +390 +00:33:53,020 --> 00:33:58,300 +يا بنات لو كتبنا R تربيها sin θ Dθ Dφ طيب، بنفع + +391 +00:33:58,300 --> 00:34:03,040 +أكامل والـR hat جوا التكامل؟ إيش بيجي أسوي؟ طيب، + +392 +00:34:03,040 --> 00:34:06,380 +بيبقى أنا أذكركم فيها اللي مش طالبكم بتحفظوها R + +393 +00:34:06,380 --> 00:34:14,580 +hat sin θ cos ف باتجاه الـI sin θ sin ف باتجاه + +394 +00:34:14,580 --> 00:34:21,400 +الـJ ذات cos θ باتجاه الـKتذكرينها؟ مديش هي كنت + +395 +00:34:21,400 --> 00:34:26,140 +أحفظوها؟ مرت عليكي؟ لحظة بعدين تقولين أنك دي .. + +396 +00:34:26,140 --> 00:34:31,880 +طيب اتطلعوا هدى، إيش بده كامل أول؟ ع الـD فاي، + +397 +00:34:31,880 --> 00:34:37,040 +كملولي هدى ع الـD فاي؟ + +398 +00:34:37,040 --> 00:34:45,800 +ليش؟ طب كمليها؟ إيش تكمل كساين؟سالب سين من سفر إلى + +399 +00:34:45,800 --> 00:34:49,100 +اتنين باى سين السفر كده؟ كوصين اتنين باى، اذا هذا + +400 +00:34:49,100 --> 00:34:54,540 +روح، اذا هذا تكامل و بيروح، فى اكس كومبونين؟ فاش، + +401 +00:34:54,540 --> 00:35:00,900 +كاملولى هذا، فى فاي؟ كوصين، كوصين اتنين باى، كوصين + +402 +00:35:00,900 --> 00:35:06,980 +سفر، واحد نخس واحد، واحد، اذا برضه هذا بيروح، ايش + +403 +00:35:06,980 --> 00:35:10,820 +بتطلع عندي؟ فى فاي هنا، اذا بتطلع عندي اتنين باى + +404 +00:35:11,480 --> 00:35:15,860 +مظبوط ولا لا؟ هنا في cosine θ و هنا في sin θ و ال + +405 +00:35:15,860 --> 00:35:22,060 +sigma فيها cosine θ فصرت cosine تربيع sin θ dθ صح؟ + +406 +00:35:22,060 --> 00:35:25,660 +high cosine و high cosine cosine تربيع و هنا في + +407 +00:35:25,660 --> 00:35:31,920 +sin طيب إذا صار الجواب كان التالي بعد ما عملنا هذا + +408 +00:35:31,920 --> 00:35:32,680 +كل الشغل + +409 +00:35:35,850 --> 00:35:46,070 +But R شرطة بتسوي capital R, R hat وعلى + +410 +00:35:46,070 --> 00:35:50,920 +طول R hat ممنوع تظهر وانت قاعد بالكاملهوّل + +411 +00:35:50,920 --> 00:35:54,200 +لـCartesian Coordinates عشان الـI والـJ والـK + +412 +00:35:54,200 --> 00:35:58,900 +بيطلعوا برا التكامل تمام فعملتهم بيقول لتوي عملنا + +413 +00:35:58,900 --> 00:36:03,880 +مع بعض أنا و نسمة ان ال integration over Phi is + +414 +00:36:03,880 --> 00:36:04,380 +zero + +415 +00:36:08,150 --> 00:36:12,290 +is zero for the x and the y components leaving + +416 +00:36:12,290 --> 00:36:16,650 +only the z component هذي روحت و هذي روحت لأن هنا + +417 +00:36:16,650 --> 00:36:19,550 +في sin فاي و هنا في cos فاي لما كملت على الفاي + +418 +00:36:19,550 --> 00:36:28,090 +بتديني zero بس ضلعتش كملت cos تربيع هذي صارت ناقص + +419 +00:36:29,770 --> 00:36:34,690 +cos θ او بمعنى اخر و let cos θ بيساوي u إذا سالب + +420 +00:36:34,690 --> 00:36:40,330 +sin θ دي فتة بيساوي du، ذاكرينها؟ تمام، إذا sin θ + +421 +00:36:40,330 --> 00:36:44,930 +دي فتة صارت سالب دي cos فتة فبصير هذه عبارة عن u + +422 +00:36:44,930 --> 00:36:49,730 +تربيع du بالسالب و u تكعيب على تلاتة وهذه السالبة، + +423 +00:36:49,730 --> 00:36:55,370 +عشان بستعرضكم في جيتو تمام التكامل cos بي + +424 +00:36:58,220 --> 00:37:01,540 +حيث سالب طلعته برا كسان باي سالب واحد ماقص كسان + +425 +00:37:01,540 --> 00:37:07,120 +سفر سالب واحد و سالب واحد سالب اتنين و في سالب + +426 +00:37:07,120 --> 00:37:11,420 +اتنين اذا هذا اتنين ع تلاتة وهنا في اتنين اربعة ع + +427 +00:37:11,420 --> 00:37:16,300 +تلاتة دي ال P اذا المطلوب الاول جالي اودي دي + +428 +00:37:16,300 --> 00:37:20,460 +دايبول والله اللي فيه دايبولأذا هل الرسمة دايبول؟ + +429 +00:37:20,460 --> 00:37:23,920 +بقول له أه طلعت دايبول دايبول كان طلع معايا ما طلع + +430 +00:37:23,920 --> 00:37:27,100 +ال zero المنوبول هل هي منوبول؟ لا طلعت zero + +431 +00:37:27,100 --> 00:37:30,580 +المنوبول تير تمام طب بدي جهود؟ بقول له خلاص الجهود + +432 +00:37:30,580 --> 00:37:34,420 +ال formula الكبيرة أول تلم سفر خد التاني تلم + +433 +00:37:34,420 --> 00:37:38,480 +وخلصنا هذا + +434 +00:37:38,480 --> 00:37:46,460 +approximate results هذا exact results قنوها شوفوا + +435 +00:37:46,460 --> 00:37:51,540 +التلمات اللي وراها متجايبها أنالغيها نفس الاشي نفس + +436 +00:37:51,540 --> 00:37:56,560 +الاشي وبالتالي اللي بيكنوا تفهموه انتوا بتاعة + +437 +00:37:56,560 --> 00:37:59,080 +الفيزياء بالذات كلمة approximation بتبرع علينا + +438 +00:37:59,080 --> 00:38:02,560 +كتير ولمّا يقولوا approximation ما تتوقعوا ان + +439 +00:38:02,560 --> 00:38:10,360 +العشرة بيصير تسعة لأ العشرة بيصير عشرة زائد واحد + +440 +00:38:10,360 --> 00:38:14,150 +في العشرة واسالد مية مراتيعني التغيير مش كبير فمش + +441 +00:38:14,150 --> 00:38:17,930 +approximation انه اتجاوبين كتير مختلفين هي + +442 +00:38:17,930 --> 00:38:22,050 +approximation وهي exact هي approximation وهي exact + +443 +00:38:22,050 --> 00:38:25,590 +نفس الشي جابها يعني معناته تروح ال approximation + +444 +00:38:25,590 --> 00:38:29,050 +لما اقولك اعمل approximation مش انه شلج كتير عن + +445 +00:38:29,050 --> 00:38:33,430 +الجواب الصحيح لأ جرب كتير عن الجواب الصحيح بتكون + +446 +00:38:33,430 --> 00:38:36,670 +مجربة تمام التمام تمام ويمكن + +447 +00:38:38,860 --> 00:38:42,020 +أنا أول مرة اعملت test وأنا جاتكم على حكاية ال + +448 +00:38:42,020 --> 00:38:46,080 +approximation فكرتها approximation جالكوا ناخد + +449 +00:38:46,080 --> 00:38:50,120 +مادة اسمها numerical analysis تحليل عددي في + +450 +00:38:50,120 --> 00:38:53,040 +التحليل العددي أول حاجة بعلمونا إياها كيف نعمل + +451 +00:38:53,040 --> 00:38:56,620 +تكمل بالكمبيوترو جعلوا التكامل بالكمبيوتر كيف + +452 +00:38:56,620 --> 00:38:59,660 +بيعملوا بيجسموا المنطقة ما تحت ال .. ال function + +453 +00:38:59,660 --> 00:39:02,780 +بيتكاملوا إلى مستطيلات صغيرة و بيجيبوا مساحة + +454 +00:39:02,780 --> 00:39:05,960 +المستطيل و بيشتغلوا طبعا لما اتجسمها لمستطيلات + +455 +00:39:05,960 --> 00:39:09,540 +المستطيل مش مستطيل تشبه منحلف بس بيعتبره مستطيل و + +456 +00:39:09,540 --> 00:39:12,340 +بيعملوا فروحة أيام كنا قاعدين بناخد Mathematical + +457 +00:39:12,340 --> 00:39:16,160 +Physics 2 و جينا التكامل من صفر لمنه نهاية E تبارك + +458 +00:39:16,160 --> 00:39:21,140 +نقص X تربيع DX إلها جوابمظبوط هذه ولا لا؟ هذه انها + +459 +00:39:21,140 --> 00:39:25,660 +جواب الفا فانكشن هذه الفا فانكشن قولت يا الله انا + +460 +00:39:25,660 --> 00:39:29,700 +قاعد بشتر على الكمبيوتر و قاعد بتعلم بلعب قولت يا + +461 +00:39:29,700 --> 00:39:33,320 +كمبيوتر اعملي هذه انت بتعمل approximation قال انا + +462 +00:39:33,320 --> 00:39:36,060 +بعمل approximation طلعت الكمبيوتر لو طلعل نفسي + +463 +00:39:36,060 --> 00:39:39,410 +جواب يكدهإذا كانت مش approximation بتضحكوا علينا + +464 +00:39:39,410 --> 00:39:43,810 +هذا جواب نتطلع وبالتالي ال approximation اللي + +465 +00:39:43,810 --> 00:39:50,610 +بنسمعه هو قريب جدا للحل دائما بيكون .. إذا كانت + +466 +00:39:50,610 --> 00:39:52,790 +الشروط ضلية اللي محافظين عليها يعني و أنا + +467 +00:39:52,790 --> 00:39:55,710 +الكمبيوتر إيش بسوي فيه؟ بقوله انا مين جالك ان انا + +468 +00:39:55,710 --> 00:39:59,370 +بدي أجسمهم هدول لعشر مستطيلات و انا اش ورايا و انا + +469 +00:39:59,370 --> 00:40:03,530 +بدي أجمع؟ كمبيوتر بدي أجمع أجسمهم لمليون مستطيل + +470 +00:40:03,530 --> 00:40:09,400 +إيش ده؟البطوليش بالصين عندك إجابة متوبالتالي صار + +471 +00:40:09,400 --> 00:40:13,140 +الكمبيوتر يطلّع لك تكاملات مع أن أصل الشغل هو + +472 +00:40:13,140 --> 00:40:17,480 +approximation لكن النتائج exact النتائج exact + +473 +00:40:17,480 --> 00:40:21,940 +وهيني أنا نفس العملية أنا أصلا قاعد بعمل mid term + +474 +00:40:21,940 --> 00:40:26,900 +واخدت بس term واحد منهم مش هم expansion ترمات + +475 +00:40:26,900 --> 00:40:30,860 +كتيرة أول واحد سافرت وهم ماجين وقولت بلاش بفلتك + +476 +00:40:30,860 --> 00:40:34,200 +منهم تتعبش حالك فين هم؟ ليه؟ لأنهم مش هيدفعولك أي + +477 +00:40:34,200 --> 00:40:40,570 +إشي وهم صعبين أصلالغاية كل الترمات اللي ضايلة، + +478 +00:40:40,570 --> 00:40:43,490 +والجواب طلع نفس الجواب، مع أن كل الترمات اللي + +479 +00:40:43,490 --> 00:40:47,270 +وراها لو اشتغلت وبقعت فيها أيام واسابيع وشهور، + +480 +00:40:47,270 --> 00:40:50,810 +هيضيفلك إشي؟ مش هيضيفوا إشي، وبالتالي طرق ال + +481 +00:40:50,810 --> 00:40:55,210 +approximation هي طرق دقيقة ويعتمد عليها بصورة + +482 +00:40:55,210 --> 00:41:00,180 +كبيرة جدا، تمةهكذا احنا بنكون هذا الـ chapter + +483 +00:41:00,180 --> 00:41:04,740 +انتهى بكل تفاصيله أخد معانا وقت كبير هو chapter + +484 +00:41:04,740 --> 00:41:09,600 +مركزي ال chapter الجاي إيش موضوعه؟ هتشوفوا إن + +485 +00:41:09,600 --> 00:41:13,600 +المادة يعني أفكارها بسيطة جدا سهلة كهرومنصية + +486 +00:41:13,600 --> 00:41:18,660 +chapter 4 بدي أرجع أشرح chapter 3 إيهش chapter 3 + +487 +00:41:18,660 --> 00:41:22,700 +خدت؟ كيف تحسب الجهود؟ كيف تحسب المجال؟ صح ولا لأ؟ + +488 +00:41:22,700 --> 00:41:24,800 +و قلت هدي شي هدي + +489 +00:41:27,780 --> 00:41:30,780 +الـ Epsilon Note إيش هي بتمثل فيزيائية ثابت نفاذية + +490 +00:41:30,780 --> 00:41:35,090 +فيه؟ في الفراغ فالآن بيقولك بيديكي أحط فراغبدي أحط + +491 +00:41:35,090 --> 00:41:39,830 +مادة طب إيش بيصير؟ المادة مش فراخ قال لي مش انا + +492 +00:41:39,830 --> 00:41:44,170 +تاوي علمتك الـ dipoles هدول لما انا أحط شحنة جنبهم + +493 +00:41:44,170 --> 00:41:48,650 +بيضلهم زي ما هم بتتوتبوا بتغير شكلهم لما يتغير + +494 +00:41:48,650 --> 00:41:51,390 +شكلهم نقول عن المادة polarized صار لها + +495 +00:41:51,390 --> 00:41:54,970 +polarization تمام؟ لما صار لها polarization كل + +496 +00:41:54,970 --> 00:41:59,570 +خواصة بتتغير فانا الموضوع المرة الجاية هو عنوانه + +497 +00:41:59,570 --> 00:42:04,090 +المجال الكهربائي جوا الموادإذا المجال الكهربا، بدي + +498 +00:42:04,090 --> 00:42:07,730 +أجيب المجال، بدي أرجع Gauss، بدي إياه، Cologue، + +499 +00:42:07,730 --> 00:42:11,810 +بدي إياه، Laplace، بدي إياها، تمام؟ وحتى الـDipole + +500 +00:42:11,810 --> 00:42:14,770 +ما هو by default هو Dipole، إذا أنا بدي أعيد نفس + +501 +00:42:14,770 --> 00:42:19,430 +الأفكار بتاع الـChapter 3، Chapter 4، بس أشوف لما + +502 +00:42:19,430 --> 00:42:22,410 +تكون المادة مش فراق، إيش بتوصل معاها؟ وإيش + +503 +00:42:22,410 --> 00:42:25,470 +المعلومات اللي بدي أن أخدها؟ يعطيكم العافية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CyljAFzWfzM.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CyljAFzWfzM.srt new file mode 100644 index 0000000000000000000000000000000000000000..c7f4bdbf2c499e1d650ed450a2377d66bd7ae1ae --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CyljAFzWfzM.srt @@ -0,0 +1,1796 @@ +1 +00:00:21,750 --> 00:00:27,850 +اتفقنا أن كل مادة بغض النظر عن طبيعة تركيبتها كانت + +2 +00:00:27,850 --> 00:00:32,530 +polar أو مش polar، إن وجدت في مجال كهربائي، بيصير فيها + +3 +00:00:32,530 --> 00:00:39,950 +polarization. اشرحنا كيف بيصير فيها polarization، إنه + +4 +00:00:39,950 --> 00:00:45,790 +كيف بيصير فيه سحب للنواة والشحنات السالبة عن بعض + +5 +00:00:45,790 --> 00:00:49,290 +وبتصير، وإذا كانت Polar، كل الـ dipoles بتلف مع + +6 +00:00:49,290 --> 00:00:53,310 +بعض، وبتترتب، وبتصير Polarized. في الحالتين، هذا ال + +7 +00:00:53,310 --> 00:00:57,750 +polarization بيولد مجال كهربائي، وبالتالي الـ net + +8 +00:00:57,750 --> 00:01:00,510 +electric field بيتغير، بيبطل هو اللي الـ internet + +9 +00:01:00,510 --> 00:01:03,710 +بتأثّر الخارجي فقط، بيصير كمان في عندك مجال كهربائي + +10 +00:01:03,710 --> 00:01:08,650 +جاي من جهة الـ polarization. هذا التعقيد كله استبدل + +11 +00:01:08,650 --> 00:01:12,090 +بشغلة معينة، بيقول: لما تكون في عندك مادة polarized، + +12 +00:01:12,090 --> 00:01:17,690 +وبدّك تجيب جهدها، بدل كل هالشيء، اعتبر هذه المادة + +13 +00:01:17,690 --> 00:01:23,450 +عبارة عن نوعين من الشحنات: في عندك ρb وهي عبارة + +14 +00:01:23,450 --> 00:01:28,570 +عن شحنات حجمية سالبة ضدّ الـ polarization، و σp = P + +15 +00:01:28,570 --> 00:01:32,810 +ضدّ الـ A. إذا أول ما يقول لك مادة polarized، وأوجد + +16 +00:01:32,810 --> 00:01:37,570 +جهدها أو مجالها، وكأنه بيقول لك: في عندي شكل عليه + +17 +00:01:37,570 --> 00:01:42,370 +شحنات، شحنات حجمية هي ρb، وشحنات سطحية هي σp + +18 +00:01:42,370 --> 00:01:46,370 +و جيبي الجهد زي ما أنت علمت في chapter 3 و chapter + +19 +00:01:46,370 --> 00:01:55,200 +2. وبنشوف، وعملنا الحالة اللي كانت موجودة. تمام، احنا + +20 +00:01:55,200 --> 00:01:59,840 +في عندنا قانون بنسميه قانون غاوس. هذا برضه قانون + +21 +00:01:59,840 --> 00:02:04,160 +غاوس، لما يكون في عندك شحنات موزعة بشكل منتظم، ممكن + +22 +00:02:04,160 --> 00:02:09,880 +تستخدمه لإيجاد شدة المجال الكهربائي. Gauss law، ايش + +23 +00:02:09,880 --> 00:02:16,310 +كان بيقول؟ كان بيقول: التكامل المغلق لـ E ⋅ dS + +24 +00:02:16,310 --> 00:02:21,870 +بيساوي Qenclosed / ε0. هذا هو قانون غاوس. + +25 +00:02:21,870 --> 00:02:28,490 +طبعاً، زمان... طبعاً، هذا عشان أقدر أستخدمه، لازم الـ E + +26 +00:02:28,490 --> 00:02:32,150 +تكون uniform على سطحه، عشان أقدر أطلعها برا السطح. + +27 +00:02:32,150 --> 00:02:37,150 +هذه، كنت أختار سطح غاوس، أشوف فيه شحنات، وأحسبها، وأشوفها + +28 +00:02:37,150 --> 00:02:41,850 +مظبوطة أو لا. وإذا ما في شحنات، أقول صفر. الآن، + +29 +00:02:41,850 --> 00:02:46,910 +لما تكون المادة فيها Polarization، وفي عندك مادة، بيقول لي + +30 +00:02:46,910 --> 00:02:49,670 +Polarized، المادة هادي، بيكون في عندك نوعين جديد من + +31 +00:02:49,670 --> 00:02:54,510 +الشحنات: ρb و σp. بدّك تحسب ليّ إياهم، + +32 +00:02:54,510 --> 00:03:00,630 +وبالتالي، بتضطر تحسبهم. طيب، أنا بتضلّ أحسبهم، بأنّي أشوف + +33 +00:03:00,630 --> 00:03:05,150 +إيش فيه تاني؟ أنّه عملية الشغل تبعنا... طبعاً هذا + +34 +00:03:05,150 --> 00:03:08,050 +القانون جامد. هذا القانون خلينا نبدأ فيه. هذا الـ + +35 +00:03:08,050 --> 00:03:11,650 +Differential Form of Gauss's Law، اللي ذكرناه بواسطة + +36 +00:03:11,650 --> 00:03:16,140 +التكامل، والـ Divergence Theorem، جِبناهم من بعض. قال + +37 +00:03:16,140 --> 00:03:20,120 +لي الآن، هذه الشيء، قال لي: in dielectric, the charge + +38 +00:03:20,120 --> 00:03:25,260 +density ρ is the sum of the free charges and the + +39 +00:03:25,260 --> 00:03:28,980 +bound charges. إذا في عندك أنت نوعين من الشحنات، + +40 +00:03:28,980 --> 00:03:32,800 +إذا جاك جسم مشحون، بقول له هذه free، لكن في + +41 +00:03:32,800 --> 00:03:36,460 +dielectric، بيكون ضمنياً عارف إن في شحنات جوا، هذه + +42 +00:03:36,460 --> 00:03:40,620 +اللي بسمّيها الـ bound charges، بدّك تحسبها. يعني، + +43 +00:03:40,620 --> 00:03:44,400 +بيقول لي الـ ρ هذه هي الـ ρfree اللي بتقول لي + +44 +00:03:44,400 --> 00:03:47,920 +عنها، والـ ρbound اللي اجت نتيجة الـ + +45 +00:03:47,920 --> 00:03:51,600 +polarization. طيب، الـ ρbound، بقدر أحط محلّ هذا + +46 +00:03:51,600 --> 00:03:55,760 +القانون −∇ ⋅ P ولا لأ؟ بالسالب؟ بقدر أحط محلّها + +47 +00:03:55,760 --> 00:04:01,840 +بدّي الـ ρbound هذه. تمام، أنا حطيت القانون، بدّي الـ + +48 +00:04:01,840 --> 00:04:05,820 +ρbound، بدّي أحط −∇ ⋅ P بالسالب، فصار القانون + +49 +00:04:05,820 --> 00:04:10,860 +∇ ⋅ E. تمام، بيصير 1/ε0 ∇ ⋅ (ρfree − ∇ ⋅ P) + +50 +00:04:10,860 --> 00:04:13,480 +ρbound حطّيت ناقص ∇ ⋅ P وهي ρfree + +51 +00:04:13,480 --> 00:04:21,820 +تمام. هذه، حطّوها هنا، ضعيفش مشكلة، ضربت كل المعادلة + +52 +00:04:21,820 --> 00:04:27,280 +بـ ε0. تمام، −∇ ⋅ P شغلة بدّي أحطّها + +53 +00:04:27,280 --> 00:04:35,900 +∇ ⋅ (ε0E + P) = ρfree + +54 +00:04:35,900 --> 00:04:42,130 +هيك صار صحّ هيك ولا لأ؟ مجرد رتّبت، قصّرت هيك. + +55 +00:04:42,130 --> 00:04:51,470 +هلّأ هذا القانون جاب هذه المعالجة صحّ ولا لأ؟ هذا + +56 +00:04:51,470 --> 00:04:55,250 +القانون، ماذا يُجيب لو كنت تشتغل رياضيات بسّ؟ بقول له + +57 +00:04:55,250 --> 00:04:58,530 +بدل الـ E... sorry، بدل الـ E، ماذا تريد أن تحصل؟ هذا الـ + +58 +00:04:58,530 --> 00:05:02,830 +Gauss. إذا المفروض يكون في قانون بيقول شغلة معينة، + +59 +00:05:02,830 --> 00:05:07,530 +أنا ما بعرفهاش ∇ ⋅ D = ρfree وهذه + +60 +00:05:07,530 --> 00:05:13,730 +ρ... هذه Qenclosed، بس free enclosed، free، طبعاً + +61 +00:05:13,730 --> 00:05:17,270 +الـ ρ راحت لأن هنا فراغ، فبتبطل في ρ، صحّ ولا لأ؟ + +62 +00:05:17,910 --> 00:05:21,990 +إذا الشغلة ∇ ⋅ D = Qfree enclosed، لما + +63 +00:05:21,990 --> 00:05:26,490 +تقول لي بسّ لـ free، مهما أنك ضليت على ما أنت عليه، + +64 +00:05:26,490 --> 00:05:30,650 +ملكّ الدعوى الصغيرة هي المادة الـ Bounded Charges مش + +65 +00:05:30,650 --> 00:05:35,290 +موجودة وين انبلعت؟ انبلعت في الـ D، اللي اختُصرت + +66 +00:05:35,290 --> 00:05:38,550 +هنا. دي لأنّ الـ D بتعتمد على ايش؟ على + +67 +00:05:38,550 --> 00:05:42,930 +الـ Polarization، تمام؟ هذا بيدي... بيدي... + +68 +00:05:42,930 --> 00:05:48,980 +كمية، بيدي... أعطوه رمز، اتّفقنا أن هذا الرمز نسميه D، + +69 +00:05:48,980 --> 00:05:56,880 +دي... دي... Capital D. إذا صار ∇ ⋅ D. إذا + +70 +00:05:56,880 --> 00:06:01,860 +الـ Gauss يبدأ برمز ايش؟ D، رمز. تمام. طبعاً الرمز هذا + +71 +00:06:01,860 --> 00:06:06,380 +الـ Gauss ايش بيقول؟ ε0E + P، بجيب للمجال + +72 +00:06:06,380 --> 00:06:10,690 +الكهربائي، لكن بتأثّر بالـ Polarization، لكن + +73 +00:06:10,690 --> 00:06:14,610 +بيسوّي حاجة تماماً صحّ ولا لأ؟ من هذه المعادلة، مين + +74 +00:06:14,610 --> 00:06:19,830 +بيقول لي ايش علاقة وحدة الـ D بالـ Polarization؟ بالمعادلة، كوحدة + +75 +00:06:19,830 --> 00:06:24,950 +بإمكانكم.. طلعوا ليّ، ايش بيساوي Force؟ ايش وحدة + +76 +00:06:24,950 --> 00:06:32,010 +الـ F؟ غصباً عنها بيكون نيوتن صحّ ولا لأ؟ طيب، ايش + +77 +00:06:32,010 --> 00:06:40,470 +وحدة D بالنسبة للـ Polarization؟ نفسها، نفسها. طب + +78 +00:06:47,730 --> 00:06:50,710 +الـ Polarization، احنا مع بعض حسبناها مش هي + +79 +00:06:50,710 --> 00:06:56,090 +نفسها C/m²، إذا هي كلّهم C/m². كلّهم C/m²، احتاجوا ايش نديلهم اسم؟ من زمان قالوا بنسمّيها + +80 +00:06:56,090 --> 00:07:01,750 +Electric Displacement. من وين اجى الاسم؟ مرات العلماء بيقولوا، من اللي اجى على باله الاسم؟ مرات + +81 +00:07:01,750 --> 00:07:05,130 +بيغشّ... ايش هو اللي صار؟ لما المادة polarized، و + +82 +00:07:05,130 --> 00:07:07,670 +أنا أول ما شرحت لك في الـ polarization، قلت لك النواة + +83 +00:07:07,670 --> 00:07:11,510 +صارت displacement، والشحنات السالبة صارت + +84 +00:07:11,510 --> 00:07:14,670 +displacement. من هنا اجت أصل التسمية. مرات التسمية + +85 +00:07:14,670 --> 00:07:21,330 +بتيجي ما أنتم عارفين، يعني من ذهن أول واحد يشتغل + +86 +00:07:21,330 --> 00:07:24,490 +في هذا الموضوع، ومش بالضرورة يكون عليها إجماع كامل، + +87 +00:07:24,490 --> 00:07:27,490 +زي أنتم ذاكرين القوة الدافعة الكهربية ذاكرينها؟ + +88 +00:07:27,490 --> 00:07:31,610 +هذه، الاسم في الآخر الكلّ اتّفق عليه ايش؟ قوة دافعة + +89 +00:07:31,610 --> 00:07:35,190 +كهربية، وانت بتقول وحدة volt؟ واحنا بنعلّم + +90 +00:07:35,190 --> 00:07:37,610 +الطلاب القوة، ووحدتها نيوتن. لكن قالوا خلاص، اللي سبق + +91 +00:07:37,610 --> 00:07:41,370 +هو اللي سمّاها. مرات بعض التسميات بتغلب، وهذه + +92 +00:07:41,370 --> 00:07:45,910 +سمّوها Electric Displacement. عشان كده، بعد ما شافوا + +93 +00:07:45,910 --> 00:07:49,310 +الوحدات، بيسمّوها Electric Flux Density أحياناً، + +94 +00:07:49,310 --> 00:07:52,750 +Density، لأن كلّهم C/m²، فكل حاجة على متر + +95 +00:07:52,750 --> 00:07:56,890 +مربع هي Density في الآخر. مش مشكلة الاسم، احنا + +96 +00:07:56,890 --> 00:07:59,950 +أوريكم... it is called the electric displacement، هذا اسمها + +97 +00:07:59,950 --> 00:08:04,060 +المشهور. لا حول ولا قوة إلا بالله. أخبي عنكم يعني، أن أقول + +98 +00:08:04,060 --> 00:08:07,400 +والله هو هذا اسمها، بيغلب، ما بيغلبش، مالوش معنى كتير، + +99 +00:08:07,400 --> 00:08:11,220 +لكن هذا هو رمزها، بدهم يستبدلوه، electric + +100 +00:08:11,220 --> 00:08:17,820 +غلط غلط، هوّ دي مكتوب عنكم the electric، غلط هذه غلط، + +101 +00:08:17,820 --> 00:08:25,080 +طباعي هي الـ electric displacement. هذه هي الصحي. خذي + +102 +00:08:25,080 --> 00:08:29,100 +هذه الجملة. + +103 +00:08:34,770 --> 00:08:39,190 +هي الـ Electric Displacement. اسمها الـ Electric + +104 +00:08:39,190 --> 00:08:43,330 +Displacement. تمام. + +105 +00:08:43,330 --> 00:08:49,850 +إذا ∇ ⋅ D = ρfree. طيب، + +106 +00:08:49,850 --> 00:08:53,730 +التكامل، ايش بده يقبله قانون زي هذا؟ بقول له هيك + +107 +00:08:53,730 --> 00:09:01,780 +بيقبله: ∮ D ⋅ dS = QF enclosed. QF يعني Free + +108 +00:09:01,780 --> 00:09:05,620 +و Enclosed. Enclosed، الـ charge اللي داخل سطح غاوس. + +109 +00:09:05,620 --> 00:09:13,020 +تمام. عشان بس برضه نربط المعلومات مع بعض. الفراغ، + +110 +00:09:13,020 --> 00:09:17,880 +بيأثّر بـ Polarization؟ لأ، إطلع في الفراغ. جدّيش + +111 +00:09:17,880 --> 00:09:23,670 +هالشيء؟ هالسّؤال هذه بتصير ايش؟ ε0E، صحّ ولا + +112 +00:09:23,670 --> 00:09:31,690 +لأ؟ رجعنا لـ ε0، رجع القانون الأول، وكأنه هذا + +113 +00:09:31,690 --> 00:09:36,370 +القانون هو القانون العام. هذا بينفع لكل شيء، بينفع + +114 +00:09:36,370 --> 00:09:40,390 +للفراغ، ومش للفراغ. طب، دكتور، هل أنت بتقول إنّ جوا + +115 +00:09:40,390 --> 00:09:45,350 +الشحنات، الشحنات راح تكون في الـ bound؟ آه. + +116 +00:09:48,370 --> 00:09:51,590 +الإثنين، هذا عشان... عشان يخدمك... إذا تخدمك القانون + +117 +00:09:51,590 --> 00:09:57,550 +هذا. لكن هنا ايش بيقول لك؟ بسّ free. ما عندك تدخّل في الـ + +118 +00:09:57,550 --> 00:10:01,250 +bound، وهذا التسهيل أنّك ما تدوّرش على الـ bound بسّ، + +119 +00:10:01,250 --> 00:10:04,830 +عادة بتجيب ايش؟ ايش بتجيب دي؟ بتجيب ايش؟ بتجيب + +120 +00:10:04,830 --> 00:10:09,010 +دي؟ بسيطة، بتقول له: مازال اجيب دي؟ بروح لها، لو بجيب + +121 +00:10:09,010 --> 00:10:13,720 +ايش؟ واحدة بتجيب الثانية صحيح ولا لأ؟ لكن في + +122 +00:10:13,720 --> 00:10:16,160 +النهاية، أنا وأنا بشتغل على قانون غاوس، ولما نجي + +123 +00:10:16,160 --> 00:10:18,980 +نحله، بعدين نفرضكم كيف تغلبوا، لو إن القانون دول + +124 +00:10:18,980 --> 00:10:23,000 +جادين، حتتغلّبوا كتير، لو دول، بتجيبو الـ Bound، + +125 +00:10:23,000 --> 00:10:27,420 +قعدنا واحنا بنحلّ، بنركّز على هذه القضية، ايش بيصير، + +126 +00:10:27,420 --> 00:10:33,000 +إذن قانون غاوس الـ modified، هذا اللي عدّلناه، شطبناه، + +127 +00:10:33,000 --> 00:10:40,340 +صار بداله، بدل هذه، اتفقنا ∮ D ⋅ dS = Qfree enclosed، + +128 +00:10:40,340 --> 00:10:43,800 +free and enclosed، طبعاً بدون ε0. + +129 +00:10:43,800 --> 00:10:48,160 +زي ما اتفقنا. إذا هذا قانون غاوس الجديد، هذا + +130 +00:10:48,160 --> 00:10:53,520 +مش غلط، بس عملنا له modification، أعمل بالضبط، مش غلط. + +131 +00:10:53,520 --> 00:10:59,360 +تمام، وبيضله صحّ في كل الأحوال. قعدنا نشوف كيف احنا + +132 +00:10:59,360 --> 00:11:04,760 +متعاملين معه: with a QF enclosed if the totally + +133 +00:11:04,760 --> 00:11:09,020 +free charge is enclosed inside the Gaussian + +134 +00:11:09,020 --> 00:11:17,040 +surface. طيب، عشان ما نقدرش نحط إن D و E + +135 +00:11:17,040 --> 00:11:20,560 +إخوة، ونقول: لأ، هذه لها وحدة وهذه لها وحدة، + +136 +00:11:20,560 --> 00:11:25,220 +الـ E وحدتها مش C/m²، صحّ ولا لأ؟ الـ E + +137 +00:11:26,640 --> 00:11:30,960 +مرتبطة فيها جهد كهربائي، صحّ؟ الـ D ما لهاش جهد، + +138 +00:11:30,960 --> 00:11:34,860 +ليش؟ لأنّ أصلاً لما أنا جبت الجهد، قلت الـ curl of + +139 +00:11:34,860 --> 00:11:39,100 +E is zero. ولما curl of E is zero، دلّت أن الـ E صفر + +140 +00:11:39,100 --> 00:11:43,660 +منها. قلت: إذا الـ E = −∇V، والـ V هو الجهد + +141 +00:11:43,660 --> 00:11:46,380 +الكهربائي اللي اتعرفنا عليه. قال لي: خليني أشوف الـ + +142 +00:11:46,380 --> 00:11:48,880 +curl تبع الـ D، الـ curl تبع الـ D، ما هي عبارة عن + +143 +00:11:48,880 --> 00:11:54,150 +curl تبع الـ E زائد curl تبع الـ Polarization. هذا + +144 +00:11:54,150 --> 00:11:58,450 +Zero دائماً، صحّ؟ لكن هذا مش Zero دائماً، عشان كده + +145 +00:11:58,450 --> 00:12:03,490 +بتقول: It is clear now that the curl of the + +146 +00:12:03,490 --> 00:12:08,150 +displacement is not necessarily zero and so it has + +147 +00:12:08,150 --> 00:12:11,990 +no potential associated with it. يعني ما لهاش جهد، + +148 +00:12:11,990 --> 00:12:16,930 +مش زي المجال الكهربائي، دي ما لهاش جهد، بسّ دي كمية + +149 +00:12:16,930 --> 00:12:20,430 +وسيطة عشان منها نجيب E، لكن هي بسّ مجرد، عشان نعمل + +150 +00:12:20,430 --> 00:12:25,380 +modification لـ Gauss law، وحطينا الـ Gauss اللي كان + +151 +00:12:25,380 --> 00:12:28,820 +محيرنا، أعطيناه الرمز D، وسمّيناه displacement، احتراف اسمه، + +152 +00:12:28,820 --> 00:12:32,920 +ومازال، عظركم حتشوفوا أنّك لو كتبتوا على Google + +153 +00:12:32,920 --> 00:12:38,680 +climate electric displacement، حتلاقوا مئة ألف + +154 +00:12:38,680 --> 00:12:40,900 +واحد بيُفسر كلّ واحد تفسير، وغرق أشكال، لأنّها اجتهادات، + +155 +00:12:40,900 --> 00:12:43,920 +وكلّها من... مبتدأ، فكرة أول واحد سمّاها، يعني اجت في بيانه + +156 +00:12:43,920 --> 00:12:50,920 +شغل، وممكن يكون غلط، يعني، لكن خلاص اتّبعت، لأنّها مش + +157 +00:12:50,920 --> 00:12:54,440 +شاذة. يعني خليني أقول برّأها أنّي أنا عندي شحنات، + +158 +00:12:54,440 --> 00:12:58,040 +بأصلها حركة، وأنا هيك سمّيتها، وليه، ومش قادر عليكم تسمّوا + +159 +00:12:58,040 --> 00:13:01,900 +اسم أحلى، ويعتمده، ما حدّ دلوقتي، اسم أحلى، فضلت هيك + +160 +00:13:01,900 --> 00:13:05,460 +بتصير. يعني، مرات... تمام، دي شوف المثال، طلع المثال، + +161 +00:13:05,460 --> 00:13:10,920 +اللي بيقول... بيقول لي a long wire... long wire... + +162 +00:13:10,920 --> 00:13:15,510 +ممكن نطبّق عليه قانون غاوس ولا لا؟ آه، carrying + +163 +00:13:15,510 --> 00:13:18,910 +uniform charge density λ. هذه بيحملها شحنة + +164 +00:13:18,910 --> 00:13:23,170 +يعني free، أنا قلت لكم إياها carrying a charge density + +165 +00:13:23,170 --> 00:13:28,370 +λ. إذا هذه λ free، مش إنها اجت + +1 + +223 +00:18:26,650 --> 00:18:33,610 +مش P؟ و هذا ينقص دل ضد الـ P ولا لا؟ دل ضد الـ P سلب + +224 +00:18:33,610 --> 00:18:38,090 +دل ضد الـ P؟ صفر أصلا، فلتك من الرياضيات أنا ما أحبوش + +225 +00:18:38,090 --> 00:18:44,050 +الرياضيات ولا أنتَ تحب المادة؟ صار لها polarization + +226 +00:18:44,050 --> 00:18:48,290 +اترتبت صح؟ الـ total initial تبعها اتغيرت؟ لا، ما تغيرتش + +227 +00:18:49,610 --> 00:18:53,810 +هذه بالفيزياء، والرياضيات بأكد طبعا بأننا مضطرين + +228 +00:18:53,810 --> 00:18:57,330 +نحبه لأنه بأكد لنا المعلومة، تمام؟ وبالتالي لما + +229 +00:18:57,330 --> 00:19:00,190 +المادة نقول عنها polarized، هذا لا يعني أن أنا + +230 +00:19:00,190 --> 00:19:06,470 +شحنتها أنا عدلت ترتيبها، لكن ككل، كـ total شحنتها + +231 +00:19:06,470 --> 00:19:11,410 +كلها صفر، تمام؟ + +232 +00:19:11,410 --> 00:19:18,130 +من السنة السابقة، يا جدعان، هذا جديد؟ طيب، نرجع + +233 +00:19:20,730 --> 00:19:22,730 +أنتَ مش فاكر أن في شيء اللي هي نور؟ ما أعرفش، هذه + +234 +00:19:22,730 --> 00:19:27,390 +الشغلة؟ أنا متأكد أكثر من واحدة، فعلا ولا لا؟ + +235 +00:19:27,390 --> 00:19:29,630 +أكيد، أكيد + +236 +00:19:35,210 --> 00:19:39,910 +تمام، هذا فيما لو أنا بدي أستخدم هذا القانون، إذا + +237 +00:19:39,910 --> 00:19:45,730 +أنا لما أكون جوا المحيط، بكون أنا هنا بدي كمان جزء + +238 +00:19:45,730 --> 00:19:51,110 +من raw، جزء من raw، لكن الآن أيش بيقول لي؟ بيقول لي + +239 +00:19:51,110 --> 00:19:55,490 +احسب بالقانون الجديد، إيه لك دعوة بـ sigma bound + +240 +00:19:55,490 --> 00:20:00,670 +و raw bound؟ لا ما لك دعوة، إذا أنتَ إيش بدك بس؟ لـ + +241 +00:20:00,670 --> 00:20:07,260 +free، لـ free، الحمار بسبس، اتلمّدت، جدّيش فيه free + +242 +00:20:07,260 --> 00:20:10,680 +charge في قانون جاوس، في سطح جاوس، هذا التلميذ في + +243 +00:20:10,680 --> 00:20:15,680 +إيش؟ طيب لو أخذت سطح جاوس زي هيك، مين يقول لي إيش + +244 +00:20:15,680 --> 00:20:22,240 +بتفرّج، you enclosed free عن الأولاني؟ بتفرّج منين + +245 +00:20:22,240 --> 00:20:26,300 +بقى؟ بقول لك free؟ بتدّيني الـ free؟ القانون اللي جيت + +246 +00:20:26,300 --> 00:20:29,440 +فيه بقى؟ طيب، إيش بيفرّق هذا الـ gate؟ أنا بستخدم من حاجة + +247 +00:20:29,440 --> 00:20:33,080 +قانونية جديدة، إيش بيفرّق، عين أولها إني؟ في الأول + +248 +00:20:33,080 --> 00:20:37,700 +كنا لمدة في H، والثاني؟ + +249 +00:20:37,700 --> 00:20:42,240 +وليش خجولة أنا؟ وخائفة؟ برضه، لمدة في H، ما بيفرّقش + +250 +00:20:42,240 --> 00:20:48,870 +شيء؟ ما بيفرّقش شيء؟ ريحني؟ في الأول كنت مرة بدي أروح و + +251 +00:20:48,870 --> 00:20:52,190 +مرة بدي أسجّل ومرة بدي أسجّل هنا، ريحني خلاص اللي + +252 +00:20:52,190 --> 00:20:56,430 +مبيّن هو اللي بنبني عليه، تمام، nothing that، طبعا هو + +253 +00:20:56,430 --> 00:20:59,870 +بيقول لي أن أنا بدي أستخدم سطح جاوس، سطح أسطواني و + +254 +00:20:59,870 --> 00:21:03,750 +في عندي سطحين، الروح الفوقاني والتحتاني، عشان هم + +255 +00:21:03,750 --> 00:21:08,230 +متعمدين، بيضلوا عند السطح الجانبي، السطح + +256 +00:21:08,230 --> 00:21:14,170 +الجانبي، وهذه بتطلع برة، بصير 2πrL، وهذه عبارة عن + +257 +00:21:14,170 --> 00:21:21,000 +λH، طبعا هذه λH، وخلاص مش + +258 +00:21:21,000 --> 00:21:27,680 +هيك، هذه rL هو مساحة جانبية للإسطوانة، محيط القاعدة + +259 +00:21:27,680 --> 00:21:33,200 +في الارتفاع، هذه Q enclosed free بتساوي λ في بس + +260 +00:21:33,200 --> 00:21:39,800 +الطول اللي داخل سطح جاوس، H، صحيح ولا لا؟ λ في + +261 +00:21:39,800 --> 00:21:42,620 +H، H مع H بتطير، وهي هذه + +262 +00:21:49,570 --> 00:21:57,490 +خلصنا، برة نفس الجواب؟ برة مش أنتَ قلت آه؟ ليش بطلت + +263 +00:21:57,490 --> 00:22:01,230 +تقوله؟ بس أنتَ قلت آه؟ واتوصلنا وخلصنا الجواب؟ + +264 +00:22:01,230 --> 00:22:04,810 +قلنا نفس الـ.. إذا كان هذا نفسه وهذا نفسه، إيش + +265 +00:22:04,810 --> 00:22:08,970 +بتغيّره؟ هذه أساس جديدة صارت، بس والآن في نفس + +266 +00:22:08,970 --> 00:22:16,140 +العملية؟ طيب حلو، توّي بهذا القانون، برة عرفت أجيبه + +267 +00:22:16,140 --> 00:22:20,000 +قلت الـ total zero جوا، قلت له سنة، بدي شوية من الـ + +268 +00:22:20,000 --> 00:22:23,420 +raw، اتغلبت، فأتوقعت مني، الجوا اللي غلبني، بدي اللي + +269 +00:22:23,420 --> 00:22:27,720 +بره، كيف جبته أنا؟ اللي برة، جبته على طول، قلت عبارة + +270 +00:22:27,720 --> 00:22:36,570 +عن E القديم، بدل هذه E، 4π، sorry، 2πrL، وهذه + +271 +00:22:36,570 --> 00:22:42,370 +λH على ε₀، صح؟ إذن E بتساوي، H مع H + +272 +00:22:42,370 --> 00:22:47,790 +بتروح، λ على 2πε₀rL، هذا من القانون + +273 +00:22:47,790 --> 00:22:52,830 +الجديد، صحيح؟ نجي.. أنا جبت هذه جوا، برة، هذا نجي + +274 +00:22:52,830 --> 00:22:56,710 +للي برة، قالي هذه البرا والله وين هذه؟ قلت لي هذه + +275 +00:22:56,710 --> 00:23:01,510 +بتساوي ε₀E زائد polarization، مظبوط هيك ولا + +276 +00:23:01,510 --> 00:23:07,530 +لا؟ برة، جدّيش الـ polarization؟ في الفرق، جدّيش الـ + +277 +00:23:07,530 --> 00:23:13,370 +polarization؟ لأنها بصورة عامة polarization، إذا برة + +278 +00:23:13,370 --> 00:23:18,210 +هذه بتاعتك، هذه بتساوي ε₀ في E؟ طلع لي E + +279 +00:23:18,210 --> 00:23:23,260 +من هنا؟ نفس هذه، كده طلعناها ولا لا؟ نفسها، جوا + +280 +00:23:23,260 --> 00:23:26,480 +بقول له ما أعرفش لسه، لأن أنتَ ما مدتنيش شروط عشان أشتغل + +281 +00:23:26,480 --> 00:23:31,480 +عليها، أو إذا بدك أنا أجيبها من هنا، بدي polarization + +282 +00:23:31,480 --> 00:23:35,720 +جوا ما مدتنيش إياها، صحيح ولا لا؟ فأنا برة جبتها، ما فيش + +283 +00:23:35,720 --> 00:23:39,740 +مشكلة، يعني لما أكون أنا قادر أطبّق القانونين، القديم + +284 +00:23:39,740 --> 00:23:43,320 +و الـ modified، بتطلع نفس الإجابة، إذا قدرت أطبّقهم + +285 +00:23:43,320 --> 00:23:48,050 +بكل المعطيات عندي، زي في هذه الحالة، Note that + +286 +00:23:48,050 --> 00:23:50,770 +outside the dielectric, the polarization is zero، + +287 +00:23:50,770 --> 00:23:54,350 +معلومة عرفناها من زمان، So from equation 13، اللي + +288 +00:23:54,350 --> 00:24:00,150 +هي هذه، قالي هذه إيه؟ لكن the electric field + +289 +00:24:00,150 --> 00:24:02,690 +inside the dielectric cannot be determined، ما أقدرش + +290 +00:24:02,690 --> 00:24:04,970 +أقول لك، ليش؟ Since we need to know the + +291 +00:24:04,970 --> 00:24:08,250 +polarization، بدي أعرف الـ polarization، لأنه إذا + +292 +00:24:08,250 --> 00:24:11,950 +عرفت الـ polarization، بقدر أعرف ρ و P، مظبوط أو + +293 +00:24:11,950 --> 00:24:15,590 +لا؟ أو بقدر أطبّق القانون من هذه الـ طرف، لكن أنا + +294 +00:24:15,590 --> 00:24:21,320 +ما مدتنيش إياها، طيب، أي استفسار؟ إذا القانون جاوس + +295 +00:24:21,320 --> 00:24:27,360 +الجديد ريحني كتير، بس بدي أعرف العلاقات هذه وكل ما + +296 +00:24:27,360 --> 00:24:33,660 +أعطيني إياها، Linear Dielectric، بدي أشوف في بعض المواد + +297 +00:24:33,660 --> 00:24:38,820 +بيسموها Linear، الـ Dielectric تبعها Linear، بيقول + +298 +00:24:38,820 --> 00:24:43,500 +لي for many substances the polarization is related + +299 +00:24:43,500 --> 00:24:48,760 +to the electric field as، الـ Polarization بيساوي χ + +300 +00:24:48,760 --> 00:24:55,320 +ε₀E، أو χ، لها لفظين، ولا حتى أنا مش عارف إيش + +301 +00:24:55,320 --> 00:24:59,640 +الصح، تمام؟ χ أو شيء، ودورت عليها وجيت مرة برفض + +302 +00:24:59,640 --> 00:25:05,020 +هيك ومرة برفض هيك، وكل واحد حسب بلده، تمام؟ + +303 +00:25:07,480 --> 00:25:11,420 +الرمز اليوناني، أنا بذكر أيام دورّت، اليونانيين + +304 +00:25:11,420 --> 00:25:16,200 +بيقولوا عنه χ، مش شي، لكن مش مشكلة، χ ولا شي مش + +305 +00:25:16,200 --> 00:25:25,800 +مشكلة، أنتم إيش تسمّوه؟ كـ χ، مش هذه χ، آه χ + +306 +00:25:25,800 --> 00:25:26,060 +هيك + +307 +00:25:29,540 --> 00:25:33,540 +صح؟ لا، هذه إما χ أو شي، كـ صاي ما جابتش معايا، لا + +308 +00:25:33,540 --> 00:25:38,400 +بس في كصاي، هذا رمز طبعا غير، تمام؟ χ أو شي + +309 +00:25:38,400 --> 00:25:41,600 +مش مشكلة، إذا كنتِ تقولي، حقا مرة جيبتها شي ومرة + +310 +00:25:41,600 --> 00:25:46,520 +χ، ما يفرّقش، هي نفس المسمّى، تمام، إذا الـ + +311 +00:25:46,520 --> 00:25:51,320 +polarization بتساوي ε₀ في ثابت بتسمّيه + +312 +00:25:51,320 --> 00:25:56,480 +أنا χ في E، هذه المواد اللي بقدر أجيب هذه + +313 +00:25:56,480 --> 00:25:59,820 +العلاقات، بسمّيها Linear، ليش Linear؟ بقول العلاقة + +314 +00:25:59,820 --> 00:26:02,520 +بين الـ polarization والمجال كانت علاقة خطيّة، حسب + +315 +00:26:02,520 --> 00:26:06,900 +المعادلة زي ما تشوفين، التي تسمّى + +316 +00:26:06,900 --> 00:26:12,140 +الانتقالية + +317 +00:26:12,140 --> 00:26:15,560 +الانتقالية + +318 +00:26:15,560 --> 00:26:19,380 +الانتقالية الانتقالية الانتقالية الانتقالية + +319 +00:26:19,380 --> 00:26:22,000 +الانتقالية الانتقالية الانتقالية الانتقالية + +320 +00:26:22,000 --> 00:26:22,220 +الانتقالية الانتقالية الانتقالية الانتقالية + +321 +00:26:22,220 --> 00:26:22,500 +الانتقالية الانتقالية الانتقالية الانتقالية + +322 +00:26:22,500 --> 00:26:23,260 +الانتقالية الانتقالية الانتقالية الانتقالية + +323 +00:26:23,260 --> 00:26:25,980 +الانتقالية الانتقالية الانتقالية الانتقالية + +324 +00:26:25,980 --> 00:26:26,820 +الانتقالية الانتقالية الانتقالية الانتقالية + +325 +00:26:26,820 --> 00:26:31,080 +الانتقالية الانتقالية الانتقالية الانتقالية انتق + +326 +00:26:33,690 --> 00:26:39,730 +لأنه بيغلب كتابته، أنا عارف تمام، فهو الـ χ، مش هذا + +327 +00:26:39,730 --> 00:26:45,230 +نسمّيه، تمام، من المهم شوفوا، عشان أنتم هذه الرموز + +328 +00:26:45,230 --> 00:26:50,190 +احنا متفقين أن كل مادة لها بعض الصفات، يعني احنا + +329 +00:26:50,190 --> 00:26:53,270 +بنشتغل، بنشتغل أن كل مادة نحطّها في مجال كهربائي + +330 +00:26:53,270 --> 00:26:56,910 +بصير لها polarization، صح ولا لا؟ طيب كيف بدنا نميّز + +331 +00:26:56,910 --> 00:27:00,430 +بين مادة ومادة؟ بقول لكم مش كل المواد بصير لها + +332 +00:27:00,430 --> 00:27:03,960 +polarization بنفس السرعة وبنفس الكيفية؟ إذا لابد + +333 +00:27:03,960 --> 00:27:08,680 +للناس يكون عندهم قياس، أول ما يشوف يقول هذه المادة + +334 +00:27:08,680 --> 00:27:10,780 +بيصير لها polarization سريع، أو هذه المادة بيصير + +335 +00:27:10,780 --> 00:27:13,760 +بيصير لها polarization بطيء، مظبوط ولا لا؟ زي ما + +336 +00:27:13,760 --> 00:27:16,300 +احنا نقول والله الماء من أسرع المواد بيصير لها + +337 +00:27:16,300 --> 00:27:19,820 +polarization لأنها polar، مظبوط ولا لا؟ إذن لابد أن + +338 +00:27:19,820 --> 00:27:23,360 +نجيب مقاييس، هذه المقاييس هي عبارة زي لما احنا + +339 +00:27:23,360 --> 00:27:26,840 +اتفقنا احنا وياكم، نبدأ بالشغلات السهلة، كيف يكون + +340 +00:27:26,840 --> 00:27:32,220 +تمييز النحاس عن، خلّينا نقول الفضة عن الألمنيوم + +341 +00:27:32,220 --> 00:27:36,640 +كـ conductor، لابد أن يكون فيه مقياس، إيش هو المقياس + +342 +00:27:36,640 --> 00:27:40,250 +هذا اللي بنستند عليه؟ عشان تقولوا أن هذه مادة conductor + +343 +00:27:40,250 --> 00:27:43,730 +ولا insulator، إيش بتكون؟ بتقولوا أنا في ثابت اسمه + +344 +00:27:43,730 --> 00:27:47,550 +الـ conductivity أو الـ resistivity، صح؟ هذا مقياس، + +345 +00:27:47,550 --> 00:27:50,370 +هذا المقياس صار مشهور، صار رمز، بيسمّوه + +346 +00:27:50,370 --> 00:27:52,870 +conductivity، أول ما تطلع conductivity كبيرة، + +347 +00:27:52,870 --> 00:27:56,530 +بيقول هذا conductor، صح ولا لا؟ عشان كده تلاقي للفضة + +348 +00:27:56,530 --> 00:28:01,450 +أعلى قيمة للـ conductivity، في الفضة، وأقل قيمة الـ + +349 +00:28:01,450 --> 00:28:05,110 +resistivity لها، صحيح ولا لا؟ إذا بدك تجيب مقاييس + +350 +00:28:05,110 --> 00:28:10,490 +معيّنة، فبدأ الثوابت هذه تنتشر، كل واحد له ثابت بيجي + +351 +00:28:10,490 --> 00:28:14,210 +الشغل معيّن، زي أخدنا برضه.. مش عارف، وقتها ما كنتش على + +352 +00:28:14,210 --> 00:28:19,710 +الأقل في فيزياء بقى، الكوندكتور ما بيقدر الحرارة تزيد + +353 +00:28:19,710 --> 00:28:24,450 +تبعها، الهواتف تبعها، الهواتف تزيد تبعها + +354 +00:28:24,450 --> 00:28:29,190 +الهواتف تزيد + +355 +00:28:29,230 --> 00:28:33,670 +معامل الحراري، إذا هذا هو المقياس، إذا أول ما يطلع + +356 +00:28:33,670 --> 00:28:36,770 +بقول هذه بالك، هي مع الحرارة، الـ conductivity بتاعتها + +357 +00:28:36,770 --> 00:28:39,870 +بتتأثّر كتير، إذا لابد أن يكون مقياس، هنا أنا جيت + +358 +00:28:39,870 --> 00:28:44,350 +لشغلي أنا، المادة بدي أحطّها، بدي أصلّها polarization + +359 +00:28:44,350 --> 00:28:47,910 +متفقين، مش كل المواد الاستجابة لها واحدة، إذا + +360 +00:28:47,910 --> 00:28:52,090 +لابد أن يكون عندنا مقياس، من هذه المقاييس، α + +361 +00:28:52,090 --> 00:28:54,090 +اللي أديتكم إياها في الأول، اللي سمّيتها الـ + +362 +00:28:54,090 --> 00:29:00,850 +polarizability، صحيح؟ طيب ε₀ و ε + +363 +00:29:00,850 --> 00:29:05,230 +ثابت النفاذية، الـ dielectric و الـ + +364 +00:29:05,230 --> 00:29:11,310 +susceptibility، هذه أحد المقاييس، و الـ dielectric + +365 +00:29:11,310 --> 00:29:15,570 +constant، يا ناس ما تنسوها، تبع الـ capacitor، الـ dielectric + +366 +00:29:15,570 --> 00:29:20,250 +constant، إيش بيصير في الـ capacitor اللي محطوط + +367 +00:29:20,250 --> 00:29:27,550 +فيه dielectric، بمقدار الـ dielectric constant، كعبة + +368 +00:29:29,050 --> 00:29:33,090 +كابا، ذاكرينها كابا؟ هذه الـ dielectric constant + +369 +00:29:33,090 --> 00:29:39,810 +برضه الها دعوة، كلها هذه بيسمّوها ياء أو يُقام، أنتم + +370 +00:29:39,810 --> 00:29:42,230 +بتاخدوا الـ solid state، بيسمّوها الـ electrical + +371 +00:29:42,230 --> 00:29:47,230 +properties of solids، بيقيسوا إيش الخواص الكهربائية + +372 +00:29:47,230 --> 00:29:50,790 +للصلب، الخواص الكهربائية، يعني كيف تستجيب مع + +373 +00:29:50,790 --> 00:29:56,130 +الكهرباء، مع المجال الكهربائي، فـ ε و الكابا و الـ + +374 +00:29:56,130 --> 00:29:58,290 +susceptibility و الـ polarizability و الـ + +375 +00:29:58,290 --> 00:30:03,850 +polarization كلها مقاييس لقدّيش المادة تستجيب مع + +376 +00:30:03,850 --> 00:30:07,420 +المجال الكهربائي، فهمتوا؟ جثّة الـ χ و الشيء هذه + +377 +00:30:07,420 --> 00:30:10,960 +جثّثناها كيف؟ تمام، خلّصنا منها؟ يعني هذه مجرد ثوابت + +378 +00:30:10,960 --> 00:30:15,740 +وطبعا لمعرفة قيمها، بدك تدخل على الشيخ جوجل، + +379 +00:30:15,740 --> 00:30:19,680 +susceptibility of some materials، بيجيب لك كل المواد + +380 +00:30:19,680 --> 00:30:22,320 +وكل واحدة susceptibility بتاعتها بعدها، قدّيش؟ طب كيف + +381 +00:30:22,320 --> 00:30:26,380 +أُنجِبَت؟ هذه تجميع سنين، كل من يوم ما واحد جال + +382 +00:30:26,380 --> 00:30:28,940 +فيه susceptibility بتاعته، كله ممكن يجمعوها، كيف + +383 +00:30:28,940 --> 00:30:31,360 +بيجمعوها؟ بيجيبوا الـ Polarization، بيجيبوا المجال، + +384 +00:30:31,360 --> 00:30:33,420 +بيجيبوا الـ slope، من الـ slope بيقدروا يجيبوا + +385 +00:30:33,420 --> 00:30:35,980 +الـ Susceptibility، وصار يتجمع كل مادة اللي الها + +386 +00:30:35,980 --> 00:30:38,680 +Susceptibility معروفة، وفي جداول في الكتب وفي جوجل + +387 +00:30:38,680 --> 00:30:41,400 +موجودة، وخاصة يعني، احنا مش قصتنا، بس عشان مجرد + +388 +00:30:41,400 --> 00:30:45,840 +نقولوا شو هي Susceptibility، هي ثابت أو مقياس لمدى + +389 +00:30:45,840 --> 00:30:51,350 +استجابة المادة للـ Polarization، اتفقنا؟ كتعريف، إذن + +390 +00:30:51,350 --> 0 + +445 +00:35:06,700 --> 00:35:11,640 +النفاذية للمادة .. وكل مادة زي ما إلها ثابتة و + +446 +00:35:11,640 --> 00:35:15,520 +إلها susceptibility إلها إبسلون .. وإبسلون هي أحد + +447 +00:35:15,520 --> 00:35:18,440 +المجاميع اللي اتكلمنا عليها .. أحد المجاميع اللي + +448 +00:35:18,440 --> 00:35:21,420 +لازم أضيفها عشان أقول والله المادة تستجيب أو لا + +449 +00:35:21,420 --> 00:35:28,970 +تستجيب ..تمام؟ حطوا في بالكم شغلة للموصل الـ + +450 +00:35:28,970 --> 00:35:36,810 +conductor هذه لها تجربة علمية، نهاية بإيه؟ ليه؟ + +451 +00:35:36,810 --> 00:35:39,230 +لأن الـconductor أصلا فيه free electrons كثيرة + +452 +00:35:39,230 --> 00:35:44,010 +وبالتالي وكأنه polarized من دون أي شيء، مظبوط؟ إذا + +453 +00:35:44,010 --> 00:35:47,050 +أصل الحاجة أنه يصله polarization، كنت أعتبره + +454 +00:35:47,050 --> 00:35:49,930 +polarized، بمعنى آخر إذا كان بدك بولاريز، لأن + +455 +00:35:49,930 --> 00:35:52,390 +الإلكترون عشوائي وانهيار عشوائي، الإلكترون حر من + +456 +00:35:52,390 --> 00:35:56,370 +زمان، صحيح؟ وبالتالي for conductors هذه كبيرة جدًا + +457 +00:35:57,700 --> 00:36:02,540 +كبيرة جدًا تمام طبعًا هذه هي مديني أنا جايب ال .. + +458 +00:36:02,540 --> 00:36:05,440 +مديني يعرف الكتاب قال لي هذه Epsilon R لبعض + +459 +00:36:05,440 --> 00:36:09,180 +المواد في الفراغ، اتفقنا كده؟ واحد طبعًا الـ + +460 +00:36:09,180 --> 00:36:12,500 +helium نجربها ما هو الـhelium وما هو مكونات + +461 +00:36:12,500 --> 00:36:16,300 +الهواء صحيح؟ وحنا بنقول .. لما نقول فراغ نقول والـ + +462 +00:36:16,300 --> 00:36:21,660 +الهواء والفراغ قريبان، تمام؟ طلعوا مثلًا الـSilicone + +463 +00:36:21,660 --> 00:36:26,640 +عشان هو سيميكوندكتر قيمته بتزيد، صحيح؟ طبعًا الـ + +464 +00:36:26,640 --> 00:36:30,760 +Water 80 لأنه على طول بتصير شبه موصل، بتتأين + +465 +00:36:30,760 --> 00:36:34,140 +فهذه أقلها، إحنا طبعًا هذه زي ما اتفقنا، أنتم + +466 +00:36:34,140 --> 00:36:36,640 +حطوا على جوجل، بيجيبوا من كل المواد، بس اكتبوا أي + +467 +00:36:36,640 --> 00:36:38,940 +مادة بدكم إياها على جوجل، بديها مثلًا الـ + +468 +00:36:38,940 --> 00:36:41,920 +Structability بتاعتها، أو الـpolarizability بتاعتها، + +469 +00:36:41,920 --> 00:36:45,540 +أو الـDielectric Constant بتاعتها، كلها تيجي، مخزنة + +470 +00:36:45,540 --> 00:36:52,130 +من زمان، نشوف هذا المثال الحلو الآن، طبعًا خمس دقائق + +471 +00:36:52,130 --> 00:36:56,410 +يا جنون! صح ساعتين؟ صح! فيها بركة المحاضرة دي على كل + +472 +00:36:56,410 --> 00:37:02,750 +حال، تمام؟ لأن وأنا عندي شباب خلصتها دي كلها، مثال + +473 +00:37:02,750 --> 00:37:04,930 +هذا، يعني خلصته واحد، اللي بياخد معاه وقت كثير لإنه + +474 +00:37:04,930 --> 00:37:09,150 +بده يشرح، هي كثيرة و + +475 +00:37:09,150 --> 00:37:12,440 +أنا بشرح حد، طبعًا هذا Find the potential at the + +476 +00:37:12,440 --> 00:37:15,060 +center، مظبوط؟ جبنا الجهود، وبعد ما جبنا الجهود، + +477 +00:37:15,060 --> 00:37:17,700 +قعدنا ربع ساعة نشرح في المثال، اللي هو طالب يقول، + +478 +00:37:17,700 --> 00:37:20,140 +طب هذا كله مش مطلوب، مش أنت بتقول بس بديكي الجهود، + +479 +00:37:20,140 --> 00:37:22,540 +جبنا الجهود، قلت لي هو already مثلها، بخليه مطلوب + +480 +00:37:25,860 --> 00:37:29,700 +أخليه مطلوب، يعني في المثال مش مطلوب، وأنا في سؤال + +481 +00:37:29,700 --> 00:37:33,180 +الامتحان بخليه مطلوب، أوجد، وأوجد، وأوجد، عشان إنه + +482 +00:37:33,180 --> 00:37:37,060 +يرتبط المثال ويرتبط مع كل حاجة، لازم الواحد ياخد و + +483 +00:37:37,060 --> 00:37:39,660 +يعطف على المثال وبعدين نحضر حتة في أساس الامتحان و + +484 +00:37:39,660 --> 00:37:43,420 +نقعد .. مافيش عندك كتاب يقول لي إيه المطلوب، أنا اللي + +485 +00:37:43,420 --> 00:37:48,300 +بعمل السؤال ولا أسمع، تمام؟ بيقول لي a metal sphere + +486 +00:37:48,300 --> 00:37:52,470 +مثلًا يعني كنت دكتور ومش كنت دكتور، Conductor of + +487 +00:37:52,470 --> 00:37:56,730 +radius A carries a charge Q، بيحمل شحنة عادية، free + +488 +00:37:56,730 --> 00:38:03,810 +هاد هو حاملها، is surrounded out to radius B by + +489 +00:38:03,810 --> 00:38:07,050 +linear dielectric material، linear dielectric + +490 +00:38:07,050 --> 00:38:11,810 +material يعني العلاقة الـP بتساوي Epsilon Note Chi + +491 +00:38:11,810 --> 00:38:16,670 +في E، سارة المفعول، by linear dielectric material of + +492 +00:38:16,670 --> 00:38:20,930 +permittivity Epsilon، إبسلون بتاعتها، بعرفها إبسلون + +493 +00:38:20,930 --> 00:38:27,230 +بتاعتها، مديني إياها، يعني بمعنى آخر لو قال لي أنا قلتها دي + +494 +00:38:27,230 --> 00:38:31,190 +إبسلون إيه؟ لو قال لي دي أنا عرفت بقدر أجيب إيه ولا + +495 +00:38:31,190 --> 00:38:35,210 +لا؟ آه لأن إبسلون أعطاني إياها، أعطاني إبسلون، خلاص ثابت + +496 +00:38:35,210 --> 00:38:40,350 +وأعطانيها، find the potential at the center، أول + +497 +00:38:40,350 --> 00:38:48,080 +أرسم الرسمة، هي الرسمة الحمراء مثل نحاس، تمام، والزيتي + +498 +00:38:48,080 --> 00:38:58,340 +تمام، والزيتي هو المادة الـ dielectric، حلو، إيش بده؟ + +499 +00:38:58,340 --> 00:39:02,780 +بده الجهود عند الـcenter، طبعًا الجهود D ما لها، الجهود + +500 +00:39:02,780 --> 00:39:06,360 +الجهود مثل الـE، وأنا بدي الجهود .. هذا قانون + +501 +00:39:06,360 --> 00:39:10,300 +الجهود، الجهود عند الـcenter، بالسالب، من منا + +502 +00:39:10,300 --> 00:39:16,000 +نهاية للصفر، E dot DS، ليش D dot DS؟ لأن الجهود + +503 +00:39:16,000 --> 00:39:19,660 +مرتبطة بـE مش مرتبطة بـD، صح ولا لأ؟ سؤالي إيه لكم + +504 +00:39:19,660 --> 00:39:24,960 +اتطلع يا نور؟ وين منا نهايتها؟ طب والنقطة الـ + +505 +00:39:24,960 --> 00:39:28,670 +origin؟ طول ما أنا ماشي من ما لا نهاية لهناك بس ما + +506 +00:39:28,670 --> 00:39:30,990 +جال واحد يكون معايا، إذا هذا كان من هناك تكامل + +507 +00:39:30,990 --> 00:39:34,910 +و يتجسم ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة + +508 +00:39:34,910 --> 00:39:35,230 +ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة + +509 +00:39:35,230 --> 00:39:36,270 +ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة + +510 +00:39:36,270 --> 00:39:36,570 +ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة + +511 +00:39:36,570 --> 00:39:45,430 +ثلاثة ثلاثة ثلاثة ثلاثة ثلاثة + +512 +00:39:45,430 --> 00:39:53,730 +ثلاثة + +513 +00:39:55,460 --> 00:40:02,340 +إذا بدي هذا وبدي هذا، صح؟ حلو، الآن + +514 +00:40:02,340 --> 00:40:06,880 +عشان ما تلخبطنيش ولا bound ولا غير الـbound، أستخدم + +515 +00:40:06,880 --> 00:40:11,840 +قانون جاوسي جديد، هجد هذا، لو عرفته بتقدر تجيب إيه ولا + +516 +00:40:11,840 --> 00:40:16,280 +لا، بتقدرش تجيب إيه، تقدر تجيب إيه، طب يلا بدي أجيب + +517 +00:40:16,280 --> 00:40:18,800 +الآن قانون هذا + +518 +00:40:25,530 --> 00:40:31,030 +بدي آخذ سطح جاوس، آخذ وين؟ هو بده في الـCenter، لأ + +519 +00:40:31,030 --> 00:40:34,890 +هرجعت، أنا بدي إيه؟ مافيش إيه في الـCenter، هرجعت أنا + +520 +00:40:34,890 --> 00:40:38,110 +عندي E out وE in وE between، صح ولا لأ؟ وين آخذ + +521 +00:40:38,110 --> 00:40:43,430 +سطح جاوس أول؟ إيش بدك تجيب؟ E between ولا E out؟ + +522 +00:40:43,430 --> 00:40:50,570 +بده between؟ between، صح؟ بده between، نبدأ فيه؟ طيب + +523 +00:40:50,570 --> 00:41:01,750 +كيف سطح جاوس؟ بدك إيه؟ بدي آخذ سطح جاوس، كرة هذا، لأ + +524 +00:41:01,750 --> 00:41:07,490 +صح، between فقط، هي قالت between، خليك فيها، هي قالت + +525 +00:41:07,490 --> 00:41:14,970 +between، تمام، صح، between، آه تمام، قد إيش q enclosed + +526 +00:41:14,970 --> 00:41:22,130 +free، طيب + +527 +00:41:22,130 --> 00:41:31,210 +نور، بدهاش between، بدها برة، هي برة، جدّيش Q enclosed؟ + +528 +00:41:31,210 --> 00:41:36,910 +برضه Q، إذا هل جيت برة ولا .. وbetween ولا برة نفس الشيء + +529 +00:41:36,910 --> 00:41:42,630 +تجيب جواب صح ولا لأ؟ إذا معناته بعد ما عملت هذا + +530 +00:41:42,630 --> 00:41:49,690 +الشيء، طبعًا جوا في الحمار صفر، ما هو كنت أكبر وأكبر + +531 +00:41:49,690 --> 00:41:56,140 +من إيه؟ يعني هنا أو هنا، واحد، صح؟ المهم أكبر من إيه؟ + +532 +00:41:56,140 --> 00:42:01,620 +يعني من هنا وأطلع، الجواب تبقى D، طبعًا في هذه الحالة + +533 +00:42:01,620 --> 00:42:07,420 +من هنا هذه D، طلعتها برة وهذه أربعة باي R تربيع وهذه + +534 +00:42:07,420 --> 00:42:13,460 +كمان، إذا ما اتفقنا Q، إذا D بيساوي Q على أربعة باي R + +535 +00:42:13,460 --> 00:42:20,120 +تربيع، طب سؤالي الآن، هل جيت دليلة، بدي إيه برة، أستخدم + +536 +00:42:20,120 --> 00:42:20,600 +هذا القانون + +537 +00:42:25,020 --> 00:42:30,820 +إذًا E out بتساوي D على إبسلون نوت، ليش حطيت + +538 +00:42:30,820 --> 00:42:37,760 +إبسلون نوت؟ لإنه برة، فرغ، طيب، وE between بتساوي D + +539 +00:42:37,760 --> 00:42:43,020 +على إبسلون، صح ولا لأ؟ إبسلون نوت بعرفه، إبسلون + +540 +00:42:43,020 --> 00:42:48,050 +أعطاني إياها، يعني، جالي إياها، هذه صارت نقطة، صحيح ولا لأ؟ + +541 +00:42:48,050 --> 00:42:54,090 +تمام، ما زال هيك، عرفت أجيب E out وE between، بقى + +542 +00:42:54,090 --> 00:43:01,970 +أقول له خلصنا، وين؟ + +543 +00:43:01,970 --> 00:43:10,010 +ليش؟ إبسلون + +544 +00:43:10,010 --> 00:43:18,290 +نوت في E، إبسلون نوت في E مش إبسلون في E، حلو، هيو، هيو، + +545 +00:43:18,290 --> 00:43:24,270 +هذه شغلة، لو هذا صفر، بقى أتصرف إيه؟ الـpolarization + +546 +00:43:24,270 --> 00:43:30,130 +يُبتلع، يختفي، لأن لو هذه إبسلون نوت، بتقول لي ليه ليه + +547 +00:43:30,130 --> 00:43:34,010 +مافيش polarization؟ لكن كونها إبسلون، ليه تغيرها + +548 +00:43:34,010 --> 00:43:42,050 +إبسلون؟ عشان فيه polarization، فهمتيني؟ طب + +549 +00:43:42,050 --> 00:43:47,950 +جيبين الـpolarization برة؟ لأ لأ لأ، هنا out مش out + +550 +00:43:47,950 --> 00:43:55,090 +بدي polarization برة، عارفة يعني إنه صفر يعني + +551 +00:43:55,090 --> 00:43:58,830 +بالنهاية، وين ودّنك يا جوحا؟ كل الطرق بتؤدي إلى روما + +552 +00:43:58,830 --> 00:44:02,230 +وين ما تروحي لإنه برة خطوط إبسلون، أنه مافيش + +553 +00:44:02,230 --> 00:44:09,670 +polarization، بيأكد سؤال نور، إنه بييجوا مع بعض، ساعتها + +554 +00:44:09,670 --> 00:44:14,190 +كملت زي ما حكينا ثلاثة تكاملات، وآخر تكامل Zero عشان + +555 +00:44:14,190 --> 00:44:18,990 +إنه كنت أكتر، فطلع الجواب هيك، طبعًا هي خلص المطلوب + +556 +00:44:18,990 --> 00:44:22,170 +خلص، أوجد الجهود، لسه عندنا قصة طويلة عريضة المرة + +557 +00:44:22,170 --> 00:44:27,170 +الجاية اللي ما كانش داخل، تمام؟ حسب كلام الشباب، تمام؟ + +558 +00:44:27,170 --> 00:44:33,190 +وطبعًا التعليق اللي بعده، أغلب مواضع السؤال، أسئلة + +559 +00:44:33,190 --> 00:44:37,650 +متحكمين، هذه الشغلات اللي بتعتبر مش داخلة، يعني مش + +560 +00:44:37,650 --> 00:44:40,290 +داخلة على عزمته، يعني مش داخلة إيه diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CyljAFzWfzM_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CyljAFzWfzM_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..ab3892efee5d51a58f4e2cffeeae9193aae9f188 --- /dev/null +++ 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والشحنات السالبة عن بعض + +5 +00:00:45,790 --> 00:00:49,290 +وبصير دي وإذا كانت Polar كل الـ dipoles بيلفهم مع + +6 +00:00:49,290 --> 00:00:53,310 +بعض وبترتب وبتصير Polarized في الحالتين هذا ال + +7 +00:00:53,310 --> 00:00:57,750 +polarization بيولد مجال كهربائيبالتالي الـ net + +8 +00:00:57,750 --> 00:01:00,510 +electric field بتغير، بيبطل هو اللي الـ internet + +9 +00:01:00,510 --> 00:01:03,710 +بتفيد الخارجي فقط، بيصير كمان في عندك مجال كهربائي + +10 +00:01:03,710 --> 00:01:08,650 +جاي من جهة ال polarization هذا التعقيد كله استبدل + +11 +00:01:08,650 --> 00:01:12,090 +بشغلة معينة، بيقول لما تكون في عندك مادة polarized + +12 +00:01:12,090 --> 00:01:17,690 +و بدك تجيب جهدها، بدل كل هالشيء، اعتبر هذه المادة + +13 +00:01:17,690 --> 00:01:23,450 +عبارة عن نوعين من الشحناتفي عندك رو باوند هي عبارة + +14 +00:01:23,450 --> 00:01:28,570 +عن سالب دل ضد ال polarization و Sigma P بيساوي P + +15 +00:01:28,570 --> 00:01:32,810 +ضد ال N اذا اول ما يقولك مادة polarized و اوجد + +16 +00:01:32,810 --> 00:01:37,570 +جهدها او مجالها و كأنه بيقولك في عندي شكل عليه + +17 +00:01:37,570 --> 00:01:42,370 +شحنات شحنات حجمية هي رو بي و شحنات سطحية هي Sigma + +18 +00:01:42,370 --> 00:01:46,370 +P و جيبي جهد زي ما انت علمت في chapter 3 و chapter + +19 +00:01:46,370 --> 00:01:55,200 +2وبنشوفنا وعملنا الحالة اللي كانت موجودة تمام احنا + +20 +00:01:55,200 --> 00:01:59,840 +في عندنا قانون بنسميه قانون gauss هذا برضه قانون + +21 +00:01:59,840 --> 00:02:04,160 +gauss لما يكون في عندك شحنات موزعة بشكل منتظم ممكن + +22 +00:02:04,160 --> 00:02:09,880 +استخدمه لإيجاد شدة المجال الكهربائي gauss law ايش + +23 +00:02:09,880 --> 00:02:16,310 +كان يقول؟ كان يقول التكامل المغلق لإيه؟Dot الـDS + +24 +00:02:16,310 --> 00:02:21,870 +بيساوي Q enclosed على E Note هذا هو قانون جاوس + +25 +00:02:21,870 --> 00:02:28,490 +طبعا زمان طبعا هذا عشان أقدر أستخدمه لازم الـE + +26 +00:02:28,490 --> 00:02:32,150 +تكون uniform على سطحه عشان أقدر أطلعها برا الشيء + +27 +00:02:32,150 --> 00:02:37,150 +هذه كنت أضغط على سطح جاوس أشوف كده شحنات و أدها و + +28 +00:02:37,150 --> 00:02:41,850 +أحطها مظبوطة أو لا إذا مافيش شحنات أقول Zeroالان + +29 +00:02:41,850 --> 00:02:46,910 +لما تكون المادة بطلت فرق و في عندك مادة بيقول لي + +30 +00:02:46,910 --> 00:02:49,670 +دي البالك المادة هادي حاصر في عندك نوعين جديد من + +31 +00:02:49,670 --> 00:02:54,510 +الشحنات في رو بي و سيجما بي بديك تحسب ليهم + +32 +00:02:54,510 --> 00:03:00,630 +وبالتالي تنسهمش طيب انا بتضل احسب فيهم بان انا شوف + +33 +00:03:00,630 --> 00:03:05,150 +ان اليه تاني انسحق عملية الشغل تبعناطبعا هذا + +34 +00:03:05,150 --> 00:03:08,050 +القانون جامل هذا القانون خلّيني أبدأ فيه هذا الـ + +35 +00:03:08,050 --> 00:03:11,650 +Differential Form of Gauss's Law الذاكرينه بواسط + +36 +00:03:11,650 --> 00:03:16,140 +التكامل و الـ Divergent Theorem جيبناهم من بعضقال + +37 +00:03:16,140 --> 00:03:20,120 +لي الآن هذه الشيء قال لي in dielectric the charge + +38 +00:03:20,120 --> 00:03:25,260 +density rho is the sum of the free charges and the + +39 +00:03:25,260 --> 00:03:28,980 +bounded charges إذا في عندك انت نوعين من الشحنات + +40 +00:03:28,980 --> 00:03:32,800 +إذا جالك جسم مشحون بقوله هذه free لكن في + +41 +00:03:32,800 --> 00:03:36,460 +dielectric بيكون ضمنيا عارف ان في شحنات جوا هذه + +42 +00:03:36,460 --> 00:03:40,620 +اللي بسميها ال bounded charges بدك تحسبهايعني + +43 +00:03:40,620 --> 00:03:44,400 +بيقولي الـ row هذه هي الـ row free اللي بتقولي + +44 +00:03:44,400 --> 00:03:47,920 +عنها و ال row bound اللي أتيت نتيجة ال + +45 +00:03:47,920 --> 00:03:51,600 +polarization طيب ال row bound بقدر أحط محل هذا + +46 +00:03:51,600 --> 00:03:55,760 +القانون دل ضد ال P ولا لأ بالسالب؟ بقدر أحط محلها + +47 +00:03:55,760 --> 00:04:01,840 +بدي ال row bound هذه تمام أنا حطيت القانون بدي ال + +48 +00:04:01,840 --> 00:04:05,820 +row bound بدي أحط دل ضد ال P بالسالب فصار القانون + +49 +00:04:05,820 --> 00:04:10,860 +دل ضد ال Eتمام بيصيح واحد على ابسلون نوت بدي ال + +50 +00:04:10,860 --> 00:04:13,480 +raw bound حطي اتناقص دل ضط ال P وهي ال raw free + +51 +00:04:13,480 --> 00:04:21,820 +تمام هذه حطوها هنا ضعيفش مشكلة ضربت كل المعادلة + +52 +00:04:21,820 --> 00:04:27,280 +بابسلون نوت تمام دل ضط ال P و دل ضط شغلة بدي احطها + +53 +00:04:27,280 --> 00:04:35,900 +دل ضط افتح جوس ابسلون نوت في E زائد P بتساوي raw + +54 +00:04:35,900 --> 00:04:42,130 +free هيك صارصح هيك ولا لأ؟ مجرد رتبت، قصرت هيك + +55 +00:04:42,130 --> 00:04:51,470 +هلقيت هذا القانون جاب هذه المعاجلة صح ولا لأ؟هذا + +56 +00:04:51,470 --> 00:04:55,250 +القانون ماذا يجيب لو كنت تشتغل رياضيات بس؟ بقوله + +57 +00:04:55,250 --> 00:04:58,530 +بدل الـ E .. sorry بدل الـ E ماذا حد تطلي؟ هذا الـ + +58 +00:04:58,530 --> 00:05:02,830 +Goss إذا المفروض يكون في قانون بيقول شغلة معينة + +59 +00:05:02,830 --> 00:05:07,530 +أنا ماعرفهاش ضد الـ DS بتساوي هذه row free وهذه + +60 +00:05:07,530 --> 00:05:13,730 +row .. هذه Q enclosed بس free enclosed free طبعا + +61 +00:05:13,730 --> 00:05:17,270 +الـ Y نقطة راحت لأن هنا فتبطل في Y نقطة صح ولا لأ؟ + +62 +00:05:17,910 --> 00:05:21,990 +أذا الشغلة ضد الـDS بيساوي Q Inclusive Free لما + +63 +00:05:21,990 --> 00:05:26,490 +تقولي بس لـ Free مهما أنك ضليتك على ما انت عليه + +64 +00:05:26,490 --> 00:05:30,650 +ملكي الدعوى الصرج هو المادة الـBounded Charges مش + +65 +00:05:30,650 --> 00:05:35,290 +موجودة وين انبلعت؟ انبلعت في الجثة ده اللي اندت + +66 +00:05:35,290 --> 00:05:38,550 +هنا ده هي لأن الـHannes تعتمد عليش؟ على + +67 +00:05:38,550 --> 00:05:42,930 +الـPolarization تمام؟ هذا بيدي أعطوه .. بيدي أعطوه + +68 +00:05:42,930 --> 00:05:48,980 +كمية بيدي أعطوه رمزبتفق على أن هذا الرمز يسموه D + +69 +00:05:48,980 --> 00:05:56,880 +دي .. دي .. capital D إذا صار D دل ضد الـ D إذا + +70 +00:05:56,880 --> 00:06:01,860 +الجوس يبدأ برمز إيش؟ D رمز تمام طبعا الرمز هذا + +71 +00:06:01,860 --> 00:06:06,380 +الجوس إيش بيقول؟ Epsilon not E زائد B بجرب للمجال + +72 +00:06:06,380 --> 00:06:10,690 +الكهربائي لكن بيسوؤوشبقرب للـPolarization لكن + +73 +00:06:10,690 --> 00:06:14,610 +بيسوي حاشت تماما صح ولا لأ؟ من هذا المعادلة مين + +74 +00:06:14,610 --> 00:06:19,830 +بيقوللي ايش غلاقة وحدة الـD بالـPolarization + +75 +00:06:19,830 --> 00:06:24,950 +بالمعادلة كوحدة + +76 +00:06:24,950 --> 00:06:32,010 +انتوا فيزر، طلعوا عليا ايه بيسوي Force؟ ايش وحدة + +77 +00:06:32,010 --> 00:06:40,470 +الـA؟ غصب عنها بيكون نيوتين صح ولا لأ؟طيب، إيش + +78 +00:06:40,470 --> 00:06:47,730 +وحدة D بالنسبة للـPolarization؟ نفسها، نفسها طب + +79 +00:06:47,730 --> 00:06:50,710 +الـPolarization المراديكي أنا وياكم حسبتها مش هي + +80 +00:06:50,710 --> 00:06:56,090 +نفسها Sigma إذا هي كلهم عامة تربية، كلهم عامة + +81 +00:06:56,090 --> 00:07:01,750 +تربية، احتاجوا إيش يدوها اسم؟من زمان قالوا بيسموها + +82 +00:07:01,750 --> 00:07:05,130 +Electric Displacement من وين جه الاسم؟ مرات برات + +83 +00:07:05,130 --> 00:07:07,670 +هم العلماء بيقولوا من اللي أتي ع باله الاسم؟ مرات + +84 +00:07:07,670 --> 00:07:11,510 +بيغش .. إيش هو اللي صار؟ لماشي المادة polarized و + +85 +00:07:11,510 --> 00:07:14,670 +أنا أول ما شرحتلك في ال polarization قُلتلك النواء + +86 +00:07:15,190 --> 00:07:17,610 +سلها displacement والشحنات السالبة سلها + +87 +00:07:17,610 --> 00:07:21,330 +displacement من هنا إجت أصل التسمي مرات التسمي + +88 +00:07:21,330 --> 00:07:24,490 +بتيجي ما أنتوا عارفين يعني من ذهن أول واحد يشتغل + +89 +00:07:24,490 --> 00:07:27,490 +في هذا الموضوع ومش بالضرورة يكون عليها إجماع كامل + +90 +00:07:27,490 --> 00:07:31,610 +زي أنتوا ذاكرين القوة الدافعة الكهربية ذاكرينها؟ + +91 +00:07:31,610 --> 00:07:35,190 +هذه اسم في الأخر الكل احتج عليه إيش قوة دافعة + +92 +00:07:35,190 --> 00:07:37,610 +كهربية وانت بتقول في أحدتها volt؟ وإحنا بنعلم + +93 +00:07:37,610 --> 00:07:41,370 +الطلاب قوة مع أحدتها نيوتن لكن قالوا خلاص اللي سبق + +94 +00:07:41,370 --> 00:07:45,910 +نبق هو اللي سماهافمرات بعض التسميات بتغلب وهذه + +95 +00:07:45,910 --> 00:07:49,310 +سموها Electric Displacement عشان كده بعد ما شافوا + +96 +00:07:49,310 --> 00:07:52,750 +الوحديات بيسموها Electric Flux Density أحيانا + +97 +00:07:52,750 --> 00:07:56,890 +Density لأن كلهم على متر تربية فكل حاجة على متر + +98 +00:07:56,890 --> 00:07:59,950 +تربية هي Density في الآخر مش مشكلة الاسم احنا + +99 +00:07:59,950 --> 00:08:04,060 +اريكمis called the electric displacement هذا اسمها + +100 +00:08:04,060 --> 00:08:07,400 +المشهور لا حول ولا مش قادر اخبي عنكم يعني ان اقول + +101 +00:08:07,400 --> 00:08:11,220 +والله هو هذا اسمها بيغلب بيغلبش مالوش معنى كتير + +102 +00:08:11,220 --> 00:08:17,820 +لكن هذا هو رمزة بدهم يستبدلوه electric + +103 +00:08:17,820 --> 00:08:25,080 +غلط غلط هو دي مكتوب عنكم the electric غلط هذي غلط + +104 +00:08:25,080 --> 00:08:29,100 +مطبعي هي ال electric displacement هذا هي صحي خدي + +105 +00:08:29,100 --> 00:08:29,700 +هاي جلمة + +106 +00:08:34,770 --> 00:08:39,190 +هي الـElectric Displacement اسمها الـElectric + +107 +00:08:39,190 --> 00:08:43,330 +Displacement تمام، + +108 +00:08:43,330 --> 00:08:49,850 +إذا الدلق ضد الـD بتساوي روه فريه جالي طيب + +109 +00:08:49,850 --> 00:08:53,730 +الـIntegral إيش بده يقبلها قانون زي هذا؟ بقوله هيك + +110 +00:08:53,730 --> 00:09:01,780 +هيقبلهاتكامل D.DS بيسوي Q F enclosed Q F يعني Free + +111 +00:09:01,780 --> 00:09:05,620 +و Enclosed Enclosed الـ Hood اللي داخل سطح Gauss + +112 +00:09:05,620 --> 00:09:13,020 +تمام عشان بس برضه نربط المعلومات مع بعض الفراغة + +113 +00:09:13,020 --> 00:09:17,880 +بيصلوا Polarization؟ لأ اتطلعوا في الفراغ؟ جدش + +114 +00:09:17,880 --> 00:09:23,670 +هالي؟سفر هذه بتصير إيش؟ إبسلو نوت في الـ E صح ولا + +115 +00:09:23,670 --> 00:09:31,690 +لأ؟ جسمه على إبسلو نوت رجع القانون الأول وكأنه هذا + +116 +00:09:31,690 --> 00:09:36,370 +القانون هو القانون الأعمل هذا بينفع لكل شيء، بينفع + +117 +00:09:36,370 --> 00:09:40,390 +للفرق و مش للفرق طب دكتور، هل إنت بتقول إن و جوه + +118 +00:09:40,390 --> 00:09:45,350 +الشحنات الشحنات هتكون في الـ Bound؟ أه + +119 +00:09:48,370 --> 00:09:51,590 +الاتنين هدا إذا عشان تخدمتي .. إذا تخدمتي القانون + +120 +00:09:51,590 --> 00:09:57,550 +هذا لكن هنا إيش بيقولك؟ بس free ماعنكي تدعوه في ال + +121 +00:09:57,550 --> 00:10:01,250 +bound و هذا التسهيل إنك تدوريش على ال bound بس + +122 +00:10:01,250 --> 00:10:04,830 +عادة بتجيبش إيه؟ إيش بتجيب دي؟ بتجيبش إيه؟ بتجيب + +123 +00:10:04,830 --> 00:10:09,010 +دي؟ بسيطة بتقوليله مازال جيب دي؟ بروح لها لو بجيب + +124 +00:10:09,010 --> 00:10:13,720 +إيه؟واحدة بتجيب التانية صحيح ولا لأ؟ لكن في + +125 +00:10:13,720 --> 00:10:16,160 +النهاية أنا وانا بشغل على قانون جاوس ولم نديه + +126 +00:10:16,160 --> 00:10:18,980 +أغلب، بعدين أفرضكم كيف تغلبوا، لو أن القانون دلوا + +127 +00:10:18,980 --> 00:10:23,000 +جادين، هتتغلبوا كتير، لو دلوا بتجيبوا الـBound، + +128 +00:10:23,000 --> 00:10:27,420 +قعدنا واحنا بنحل، بنركز على هذه القضية، أيصف صار، + +129 +00:10:27,420 --> 00:10:33,000 +إذن قانون جاوس الموديفيت، هذا جالي عدله، شطبناه، + +130 +00:10:33,000 --> 00:10:40,340 +صار بدله، بدل هذه، اتفجنا صالب جوز، دي،وها دي free + +131 +00:10:40,340 --> 00:10:43,800 +and closed طبعا if free and closed بدون أبشر نوت + +132 +00:10:43,800 --> 00:10:48,160 +زي ما اتفجنا إذا هذا قانون جاف الحلول الجديد هذا + +133 +00:10:48,160 --> 00:10:53,520 +مش غلط بس عملنا له modification أعمل بالظبط مش غلط + +134 +00:10:53,520 --> 00:10:59,360 +تمام و بيضله صح في كل الأحوال قعدنا نشوف كيف احنا + +135 +00:10:59,360 --> 00:11:04,760 +متعامل معاهwith a Q, F enclosed if the totally + +136 +00:11:04,760 --> 00:11:09,020 +free charge is enclosed inside the Gaussian + +137 +00:11:09,020 --> 00:11:17,040 +surface طيب عشان مايقدرناش نحط في باننا ان D و E + +138 +00:11:17,040 --> 00:11:20,560 +إخوة و نقولوا لأ هذي إلها واحدة و هذي إلها واحدة + +139 +00:11:20,560 --> 00:11:25,220 +ال E وحدتها مش كلهم عامة التربية صح ولا لأ ال E + +140 +00:11:26,640 --> 00:11:30,960 +مرتبط بيها جهود كهربائي، صح؟ الـD ما لهاش جهود، + +141 +00:11:30,960 --> 00:11:34,860 +ليش؟ لأنه أصلاً لما أنا جبت الجهود قلت الـcare of + +142 +00:11:34,860 --> 00:11:39,100 +E is zero و لما care of E is zero دل قرص الـE صفر + +143 +00:11:39,100 --> 00:11:43,660 +منها قلت إذا الـE بالساوي سالب ال gradient of a + +144 +00:11:43,660 --> 00:11:46,380 +scalar potential و ال scalar potential هو الجهود + +145 +00:11:46,380 --> 00:11:48,880 +الكهربائي اللي اتعرفنا عليها قال لي خليني أشوف ال + +146 +00:11:48,880 --> 00:11:54,150 +care تبع الـD ال care تبع الـD، ما هي ديعبارة عن + +147 +00:11:54,150 --> 00:11:58,450 +care تبع ال E بزاية care تبع ال polarization هذا + +148 +00:11:58,450 --> 00:12:03,490 +Zero دائما، صح؟ لكن هذا مش Zero دائما، عشان كده + +149 +00:12:03,490 --> 00:12:08,150 +بتقول ليه؟It is clear now that the care of the + +150 +00:12:08,150 --> 00:12:11,990 +displacement is not necessarily zero and so it has + +151 +00:12:11,990 --> 00:12:16,930 +no potential associated with it يعني مالهات جهود، + +152 +00:12:16,930 --> 00:12:20,430 +مش زي المجال الكعربائي، ده مالهات جهود، بس ده كمية + +153 +00:12:20,430 --> 00:12:25,380 +وسيطة عشان منها نجيب Eلكن هي بس مجرد عشان نعمل + +154 +00:12:25,380 --> 00:12:28,820 +modification لجوز الـ slow وحطينا الجوز اللي كان + +155 +00:12:28,820 --> 00:12:32,920 +محيرنا ادّو الرمز دي وسموه displacement احترف اسمه + +156 +00:12:32,920 --> 00:12:38,680 +وما زال عظركم هتشوفوا انك لو كتبتوا ع google + +157 +00:12:38,680 --> 00:12:40,900 +climate electric displacement حتلاقوا مائة الف + +158 +00:12:40,900 --> 00:12:43,920 +واحد بفسر كل قاعة تفسير وغرق أشكل لأنه اجتهادات + +159 +00:12:43,920 --> 00:12:50,920 +وكلهامن مبّت فكرة أول واحد سماها يعني إجت في بيانه + +160 +00:12:50,920 --> 00:12:54,440 +شغل وممكن يكون غلط يعني لكن خلاص اعتمدت لأنها مش + +161 +00:12:54,440 --> 00:12:58,040 +شاذة يعني خلّيني أقول برّالها أنه انا عندي شحنات + +162 +00:12:58,040 --> 00:13:01,900 +بصلها حركة وانا هيك سميتها وليه ومش ساطر فيكم تسمي + +163 +00:13:01,900 --> 00:13:05,460 +اسم أحلى ويعتمدوا ماحد دلقى اسم أحلى فضلت هيك + +164 +00:13:05,460 --> 00:13:10,920 +بتصير يعني المرات تمام دي شوف المثال طلعش المثال + +165 +00:13:10,920 --> 00:13:15,510 +اللي بيقولبيقول لي a long wire .. long wire .. + +166 +00:13:15,510 --> 00:13:18,910 +ممكن نطبق عليا قانون جوز ولا لا؟ اه carrying + +167 +00:13:18,910 --> 00:13:23,170 +uniform charged in city lambda هذه بيحملها زيادة + +168 +00:13:23,170 --> 00:13:28,370 +يعني free أنا جاتوا إياها carrying a charge in + +169 +00:13:28,370 --> 00:13:31,690 +city lambda إذا ان هذه lambda free مش إنها إجت + +170 +00:13:31,690 --> 00:13:36,910 +نتيجة polarization حلو it's surrounded by a rubber + +171 +00:13:36,910 --> 00:13:43,590 +insulationحوطه بمادة عازلة يعني dielectric ايش + +172 +00:13:43,590 --> 00:13:47,530 +بيوصل فيها؟ بيوصلها polarization هذه المادة ليش؟ + +173 +00:13:47,530 --> 00:13:50,590 +لأنها وجدت حوالين شحنة و الشحنة بتورد مجال إذا + +174 +00:13:50,590 --> 00:13:53,750 +نصلها polarization find the electric displacement + +175 +00:13:53,750 --> 00:13:58,470 +هاي الرسمة ده بعدين هذا الخط الأحمر فيه شحنات + +176 +00:13:58,470 --> 00:14:05,070 +lambda free الخضار هذا أو اللون الزيتي تمام؟ + +177 +00:14:08,440 --> 00:14:13,600 +خارج نطاق التصوير أنا بتغلب مع الألوان مع زوجتي و + +178 +00:14:13,600 --> 00:14:17,740 +بنتي لما أروح أخضر ميت أخضر عندهم و أحمر ميت أحمر + +179 +00:14:17,740 --> 00:14:21,820 +عندهم فبالتالي لما بدهم يجيبوا بندانة عن و هي أخضر + +180 +00:14:21,820 --> 00:14:24,720 +لأ هذه مش أخضر من سيادتي و هذه مش سيادتي بتطلعوا + +181 +00:14:24,720 --> 00:14:27,380 +روحي و أنت أكيد بتطلعوا روحي منها إما عندكم مظبوط + +182 +00:14:27,380 --> 00:14:30,760 +ولا لأ لو أنا بتدسر إلى حالي كانوا يفضحوني لما هي + +183 +00:14:30,760 --> 00:14:36,890 +بقعدهم معاياطيب عشان كده انا انا عندي اخضر خلاص + +184 +00:14:36,890 --> 00:14:42,210 +بجيب تمام فهذا + +185 +00:14:42,210 --> 00:14:48,930 +اللون هو عبارة عن ال rubber تمام هذا ايش بده يصير + +186 +00:14:48,930 --> 00:14:52,470 +فيها؟ بده يصير polarization ايش يعني polarization؟ + +187 +00:14:52,470 --> 00:14:56,050 +polarization يعني هنا فيه رو بي و هنا فيه سيجما بي + +188 +00:14:56,050 --> 00:15:01,880 +مشروبي جوا و سيجما بي على السطح تمامFind the + +189 +00:15:01,880 --> 00:15:06,500 +electric displacement و لا جلي لبرا ولا جوا سكت + +190 +00:15:06,500 --> 00:15:10,620 +يعني جيب برا و جوا ما زال ماجليش يجيبوا إيش يعني + +191 +00:15:10,620 --> 00:15:16,860 +برا جوا برا الخضار و برا و خالص تمام طبعا هذا very + +192 +00:15:16,860 --> 00:15:24,500 +long wire بتطبق قانون جوس بدي أعمل سطح جوس هيك و + +193 +00:15:24,500 --> 00:15:27,880 +برا بدي أعمل سطح جوس هيك صح؟ + +194 +00:15:30,350 --> 00:15:37,170 +الـ gate لو بدّي أطبّق قانون الجاوس الجديم بديب + +195 +00:15:37,170 --> 00:15:43,450 +إيه مباشرة؟ أنا هنا بسطح الجاوس الصغير هداك كيف + +196 +00:15:43,450 --> 00:15:47,350 +أجيب الـ Q total يا نور؟ الـ Q enclosed الجديم + +197 +00:15:47,350 --> 00:15:51,310 +اللي بتعرفيه من زمان؟ بدي Q كل Q اللي داخل سطح + +198 +00:15:51,310 --> 00:15:56,190 +الجاوس هذا الحمار في جزء منه في سطح الجاوس إذا فيه + +199 +00:15:56,190 --> 00:16:02,220 +لم .. نفترض إنه هدأتش هنا لم دأتش بديها صح؟بلزمك + +200 +00:16:02,220 --> 00:16:06,780 +جزء من رو بي ولا بلزمكيش؟ بلزمك جزء من رو بي صح او + +201 +00:16:06,780 --> 00:16:12,200 +لا؟ طب سيجما بي بتلزم؟ لأ طيب سطح جوس هذا يا غدير + +202 +00:16:12,200 --> 00:16:19,440 +تكشريش اسألي الجدي انا بحكي اسألي احنا اتفقنا ايه + +203 +00:16:19,440 --> 00:16:23,620 +بيجي ع بالك؟ هجي سطح جوس هذا ايش بيدي؟ كل الشحنات + +204 +00:16:23,620 --> 00:16:28,040 +برضه قانون جوس الجديدبدّي كلمة دف إتش بدّي إياها و + +205 +00:16:28,040 --> 00:16:31,440 +رو بي كلها بدّي إياها و سيجما بي بدّي إياها ولا لأ + +206 +00:16:31,440 --> 00:16:35,260 +و بدّي إياها لكن أنا عندي معلومة إن رو بي و سيجما + +207 +00:16:35,260 --> 00:16:40,340 +بي لما يكون ككل Zero مجموحهم صح؟ إذن لما أنت تكون + +208 +00:16:40,340 --> 00:16:47,080 +برا هتكون فقط عندك كلمة دف إتش بس لأنه هي الأصل Q + +209 +00:16:47,080 --> 00:16:53,000 +enclosed قانون جديم أنا بحكيهLambda في H زائد Raw + +210 +00:16:53,000 --> 00:17:00,180 +بي في ال volume V in زائد سجنه بي في ال A هدول + +211 +00:17:00,180 --> 00:17:07,940 +مجموحهم Zero ليش؟ ليش؟ مين جال ليش؟ هدق نور نور + +212 +00:17:07,940 --> 00:17:15,020 +بقى جنبك ماهي يعني ماشتدتش كتير انا طبعا يا نور لأ + +213 +00:17:15,020 --> 00:17:15,820 +جيد السؤال + +214 +00:17:19,110 --> 00:17:23,870 +أنا .. إيه إذا أنا؟ + +215 +00:17:23,870 --> 00:17:30,690 +وين + +216 +00:17:30,690 --> 00:17:39,410 +روحنا؟ وين روحنا؟ وين روحنا؟ وين + +217 +00:17:39,410 --> 00:17:42,530 +أنا حاططها هذه؟ عشان برها ديك حاططناها؟ + +218 +00:17:54,470 --> 00:18:02,670 +هذه المعادلة هي رو بي وهي سيجما بي انا بدأ اجمعهم + +219 +00:18:02,670 --> 00:18:07,650 +مع بعض اجمعهم مع بعض و قلت السيجما بدي اضع دي اس + +220 +00:18:07,650 --> 00:18:13,950 +والرو دي تاو تمام؟ هال gate هذه بدي استخدم ال + +221 +00:18:13,950 --> 00:18:19,910 +divergence theory بقول هذه عبارة عن ال dot السيجما + +222 +00:18:19,910 --> 00:18:26,650 +مظبوط؟ ال dot السيجماdetail حلو ال sigma هي P ولا + +223 +00:18:26,650 --> 00:18:33,610 +مش P؟ و هد ينقص دل ضد ال P ولا لا؟ دل ضد ال P سلب + +224 +00:18:33,610 --> 00:18:38,090 +دل ضد ال P؟ Zero أصلا فلتك من الرياضيات أنا ماحبوش + +225 +00:18:38,090 --> 00:18:44,050 +الرياضيات ولا أنت حلو المادة صارها polarization + +226 +00:18:44,050 --> 00:18:48,290 +اترتبت صح؟ ال total initial تبعت اتغيرت؟ لأ مقدلش + +227 +00:18:49,610 --> 00:18:53,810 +هذه بالبلدية و الرياضيات بأكد طبعا بأننا مضطرين + +228 +00:18:53,810 --> 00:18:57,330 +نحبه لأنه بأكدنا المعلومة تمام؟ وبالتالي لما + +229 +00:18:57,330 --> 00:19:00,190 +المادة نقول عنها polarized هذا لا يعني أن أنا + +230 +00:19:00,190 --> 00:19:06,470 +شحنتها أنا عديت ترتيبها لكن ككل ك total شحنتها + +231 +00:19:06,470 --> 00:19:11,410 +كلها zero تمام؟ + +232 +00:19:11,410 --> 00:19:18,130 +من السنة السوية اليهود يا هالجديد؟ طيب، نرجع + +233 +00:19:20,730 --> 00:19:22,730 +انت مش فاكر ان فيش اللي هي نور؟ ماعرفش حرف هذه + +234 +00:19:22,730 --> 00:19:27,390 +الشغلة؟ أنا متأكد أكتر من واحدة، فعلا ولا لا؟ + +235 +00:19:27,390 --> 00:19:29,630 +أكيد، أكيد + +236 +00:19:35,210 --> 00:19:39,910 +تمام هذا فيما لو انا بدي استخدم هذا القانون اذا + +237 +00:19:39,910 --> 00:19:45,730 +انا لما اكون جوا محيطه بكون انا هنا بدي كمان جزء + +238 +00:19:45,730 --> 00:19:51,110 +من raw جزء من raw لكن الان عند أيش بيقولي؟ بيقولي + +239 +00:19:51,110 --> 00:19:55,490 +احسب بالقانون جوز الجديد إيه لك دعوة ب sigma bound + +240 +00:19:55,490 --> 00:20:00,670 +و raw bound؟ لأ مالكاش دعوة إذا انت إيش بدك بس؟ ل + +241 +00:20:00,670 --> 00:20:07,260 +free ل free الحمرار بسبس ات لامده جديش فيه free + +242 +00:20:07,260 --> 00:20:10,680 +charge في قانون جاوس .. في سطح جاوس هذا لامده في + +243 +00:20:10,680 --> 00:20:15,680 +إيش؟ طيب لو أخدت سطح جاوس زي هيك مين يقوللي إيش + +244 +00:20:15,680 --> 00:20:22,240 +بتفرجت you enclosed free عن الأولاني؟ بتفرجتك منين + +245 +00:20:22,240 --> 00:20:26,300 +بقى؟ بقولك free؟ بتدني ال free؟ القانون اللي جيت + +246 +00:20:26,300 --> 00:20:29,440 +فيه بقى؟طيب، إيش بيفرق هال gate؟ أنا بستقل من حاجة + +247 +00:20:29,440 --> 00:20:33,080 +قانونية جديدة إيش بيفرق عين أولها إني؟ في الأول + +248 +00:20:33,080 --> 00:20:37,700 +كنا لمدة في أتش، و التاني؟ + +249 +00:20:37,700 --> 00:20:42,240 +وليش خجلة أنا؟ وخايفة؟ برضه، لمدة في أتش، بيفرقش + +250 +00:20:42,240 --> 00:20:48,870 +إشي؟ بيفرقش إشي؟ ريحني؟في الأول كنت مرة بدي روح و + +251 +00:20:48,870 --> 00:20:52,190 +مرة بدي سجمة و مرة بدي سجمة هنا ريحلي خلاص اللي + +252 +00:20:52,190 --> 00:20:56,430 +مبين هو اللي ببني عليه تمام nothing that طبعا هو + +253 +00:20:56,430 --> 00:20:59,870 +بيقوللي انه انا بدي استخدم سطح جاوز سطح استواني و + +254 +00:20:59,870 --> 00:21:03,750 +في عندي سطحين بروحه الفجاني والتحتاني عشان هم + +255 +00:21:03,750 --> 00:21:08,230 +متعودين متعمدين بيضلوا عند السطح الجانبي السطح + +256 +00:21:08,230 --> 00:21:14,170 +الجانبي و هذه بتطلع برا بصير D2πS و هذه عبارة عن + +257 +00:21:14,170 --> 00:21:21,000 +Lambda بH طبعاوها دي lambda H وخلاص مش + +258 +00:21:21,000 --> 00:21:27,680 +هيك دي DS هو مساحة جانبية للإسطوانة محيط القاعدة + +259 +00:21:27,680 --> 00:21:33,200 +في الارتفاع هذه Q enclosed free بتسوي Lambda في بس + +260 +00:21:33,200 --> 00:21:39,800 +الطول اللي داخل سطح جاوز H صحيك ولا لأ؟ Lambda في + +261 +00:21:39,800 --> 00:21:42,620 +H H مع H بتطير وهي دي + +262 +00:21:49,570 --> 00:21:57,490 +خلصنا برا نفس الجواب؟ برا مش أنت قلت آه؟ ليه بطلت + +263 +00:21:57,490 --> 00:22:01,230 +تقوله؟ بس أنت قلت آه؟ و اتوصلنا و خلصنا الجثة؟ + +264 +00:22:01,230 --> 00:22:04,810 +قلنا نفس ال .. إذا كان هذا نفسه و هذا نفسه، إيش + +265 +00:22:04,810 --> 00:22:08,970 +بتغيره؟ هذه أساس جديدة صارت، بس و الأن في نفس + +266 +00:22:08,970 --> 00:22:16,140 +العملية؟ طيب حلو توي بهذا القانونبارا عرفت أجيبه + +267 +00:22:16,140 --> 00:22:20,000 +قلت الـ total zero جوا قلت له سنة بدي شوية من ال + +268 +00:22:20,000 --> 00:22:23,420 +raw اتغلبت فاتقوا مني الجوا اللي غلبني بدي اللي + +269 +00:22:23,420 --> 00:22:27,720 +برا كيف جبته انا اللي برا جبته على طول قلت عبارة + +270 +00:22:27,720 --> 00:22:36,570 +عن E القديم بدل دي E أربعة باي sorry2πSH وهذه + +271 +00:22:36,570 --> 00:22:42,370 +Lambda في H على Y Note صح؟ إذن E بتساوي H مع H + +272 +00:22:42,370 --> 00:22:47,790 +راحل Lambda على 2πY Note في S هذا من القانون + +273 +00:22:47,790 --> 00:22:52,830 +الجديد صحيح؟ نجي .. أنا جيكني دي جوا برا هذا نجي + +274 +00:22:52,830 --> 00:22:56,710 +للي برا قاللي هاي البرا والله وين دي هي؟ قلتلي دي + +275 +00:22:56,710 --> 00:23:01,510 +بتساوي Y Note في E زائد بولاريزيشن مظبوط هيك ولا + +276 +00:23:01,510 --> 00:23:07,530 +لأ؟برّه جدّيش ال polarization؟ في الفرق جدّيش ال + +277 +00:23:07,530 --> 00:23:13,370 +polarization؟ لأنها بصورة حاش بولاريزيشن إذا مبرّه + +278 +00:23:13,370 --> 00:23:18,210 +دي تبعتك هذه بيساوي ابسلون وات في ايه؟ طلّعلي ايه + +279 +00:23:18,210 --> 00:23:23,260 +من هنا؟ نفس هذه كده طلّعناها ولا لا؟نفسها جوا + +280 +00:23:23,260 --> 00:23:26,480 +بقوله ما بعرفش لسه لان انت مدتني شروبي عشان اشتغل + +281 +00:23:26,480 --> 00:23:31,480 +عليها او اذا بدكي انا اجيبها من هنا بدي بيروزيشن + +282 +00:23:31,480 --> 00:23:35,720 +جوا مدتنيش اياها صحيح ولا لا فانا برا جبتها مافيش + +283 +00:23:35,720 --> 00:23:39,740 +مشكلة يعني لما اكون انا جادر اطبق القانونين القديم + +284 +00:23:39,740 --> 00:23:43,320 +و ال modified بتطلع نفسي الإجابة اذا جدرت اطبقهم + +285 +00:23:43,320 --> 00:23:48,050 +بكل الشي معطى عندي زي في هذه الحالةNote that + +286 +00:23:48,050 --> 00:23:50,770 +outside the dielectric, the polarization is zero، + +287 +00:23:50,770 --> 00:23:54,350 +معلومة عرفناها من زمان So from equation 13، اللي + +288 +00:23:54,350 --> 00:24:00,150 +هي هذه قال لي هي إيه؟ لكن the electric field + +289 +00:24:00,150 --> 00:24:02,690 +inside the dielectric cannot be determined، بقدرش + +290 +00:24:02,690 --> 00:24:04,970 +أقولها لك، ليه؟ Since we need to know the + +291 +00:24:04,970 --> 00:24:08,250 +polarization، بدي أعرف ال polarization، لأنه إذا + +292 +00:24:08,250 --> 00:24:11,950 +عرفت ال polarization، بقدر أعرف ρو بي، مظبوط أو + +293 +00:24:11,950 --> 00:24:15,590 +لا؟ أو بقدر أطبخ القانون من هذه أرف، لكن أنا + +294 +00:24:15,590 --> 00:24:21,320 +مادتنيش إياهاطيب، أي استفسار؟ إذا القانون جاوس + +295 +00:24:21,320 --> 00:24:27,360 +لجديد ريحني كتير بس بدي أعرف العلاقات هذه و كل ما + +296 +00:24:27,360 --> 00:24:33,660 +أعطينيها Linear Dielectric بدي أشوف في بعض المواد + +297 +00:24:33,660 --> 00:24:38,820 +بيسموها Linear الـ Dielectric تبعها Linear بيقول + +298 +00:24:38,820 --> 00:24:43,500 +لي for many substances the polarization is related + +299 +00:24:43,500 --> 00:24:48,760 +to the electric field asالـPolarization بيسوي Y + +300 +00:24:48,760 --> 00:24:55,320 +note كاي أو تشاي لها لفظين ولا حتى أنا مش عارف ايش + +301 +00:24:55,320 --> 00:24:59,640 +الصح تمام؟ كاي أو تشاي ودورت عليها وجيت مرة برفض + +302 +00:24:59,640 --> 00:25:05,020 +هيك ومرة برفض هيك وكل واحد حسب بلده تمام؟ + +303 +00:25:07,480 --> 00:25:11,420 +الرمز اليوناني انا بذكر أيام ادورت اليونانيين + +304 +00:25:11,420 --> 00:25:16,200 +بيقولوا عنه كاي مش شاي لكن مش مشكلة كاي ولا شاي مش + +305 +00:25:16,200 --> 00:25:25,800 +مشكلة انتو ايش اسهلكم؟ كساي مش هذه كساي اه كساي + +306 +00:25:25,800 --> 00:25:26,060 +هيك + +307 +00:25:29,540 --> 00:25:33,540 +صح؟ لأ هذه إما chai أو كاي، كصاي ماجبتش معايا، لأ + +308 +00:25:33,540 --> 00:25:38,400 +بس في كصاي، هذا رمز طبعها غير، تمام؟ chai أو كاي + +309 +00:25:38,400 --> 00:25:41,600 +مش مشكلة، إذا كنتي تقولي حقا مرة جيبتها chai و مرة + +310 +00:25:41,600 --> 00:25:46,520 +كاي، ماتفرجش، هي نفس المسمةتمام اذا the + +311 +00:25:46,520 --> 00:25:51,320 +polarization بتساوي epsilon note في ثابت بتسميه + +312 +00:25:51,320 --> 00:25:56,480 +أنا chi في ايه؟ هذه المواد اللي بقدر اجيب هذه + +313 +00:25:56,480 --> 00:25:59,820 +العلاقات بسميها linear ليش linear؟ بقول العلاقة + +314 +00:25:59,820 --> 00:26:02,520 +بين ال polarization و المجارة كانت باقي خطي حسب + +315 +00:26:02,520 --> 00:26:06,900 +المعادلة زي ما تشوفينالتي تسمى كالتانية الانتقالية + +316 +00:26:06,900 --> 00:26:12,140 +الانتقالية + +317 +00:26:12,140 --> 00:26:15,560 +الانتقالية + +318 +00:26:15,560 --> 00:26:19,380 +الانتقالية الانتقالية الانتقالية الانتقالية + +319 +00:26:19,380 --> 00:26:22,000 +الانتقالية الانتقالية الانتقالية الانتقالية + +320 +00:26:22,000 --> 00:26:22,220 +الانتقالية الانتقالية الانتقالية الانتقالية + +321 +00:26:22,220 --> 00:26:22,500 +الانتقالية الانتقالية الانتقالية الانتقالية + +322 +00:26:22,500 --> 00:26:23,260 +الانتقالية الانتقالية الانتقالية الانتقالية + +323 +00:26:23,260 --> 00:26:25,980 +الانتقالية الانتقالية الانتقالية الانتقالية + +324 +00:26:25,980 --> 00:26:26,820 +الانتقالية الانتقالية الانتقالية الانتقالية + +325 +00:26:26,820 --> 00:26:31,080 +الانتقالية الانتقالية الانتقالية الانتقالية الانتق + +326 +00:26:33,690 --> 00:26:39,730 +لأنه بيغلب كتابته أنا عارف تمام فهو الـXY مش هذا + +327 +00:26:39,730 --> 00:26:45,230 +نسمع تمام من المهم شوفوا عشان انتوا هذه الرموز + +328 +00:26:45,230 --> 00:26:50,190 +احنا متفقين ان كل مادة لها بعض الصفات يعني احنا + +329 +00:26:50,190 --> 00:26:53,270 +عايش نشتغل نشتغل ان كل مادة نحطت في مجلد كهربائي + +330 +00:26:53,270 --> 00:26:56,910 +بصيرها polarization صح ولا لأ؟ طيب كيف بدأ اميز + +331 +00:26:56,910 --> 00:27:00,430 +بين مادة ومادة بقولليكم مش كل المواد بصيرها + +332 +00:27:00,430 --> 00:27:03,960 +polarization بنفس السرعة و بنفس الكيفية؟إذا لابد + +333 +00:27:03,960 --> 00:27:08,680 +للناس يكون عندهم قياس أول ما يشوف يقول هذه المادة + +334 +00:27:08,680 --> 00:27:10,780 +بيصيرها polarization سريع أو هذه المادة بيصير + +335 +00:27:10,780 --> 00:27:13,760 +بيقولها polarization بطيء، مظبوط ولا لا؟ زي ما + +336 +00:27:13,760 --> 00:27:16,300 +احنا نقول والله الميه من أسرع المواجن بيصيرها + +337 +00:27:16,300 --> 00:27:19,820 +polarization لأنها polar، مظبوط ولا لا؟أذن لابد أن + +338 +00:27:19,820 --> 00:27:23,360 +نجيب مقاييس هذه المقاييس هي عبارة زي لما احنا + +339 +00:27:23,360 --> 00:27:26,840 +اتفجنا احنا وياكم نبدأ بالشغلات السهلة كيف يكون + +340 +00:27:26,840 --> 00:27:32,220 +تميزه انحاس عن خلّينا نقول الفضة عن الألمنيوم + +341 +00:27:32,220 --> 00:27:36,640 +كconductor لابد أن يكون فيه مجياز ايش هو المجياز + +342 +00:27:36,640 --> 00:27:40,250 +هذا استفدوا عليه؟عشان تقولوا إن هذه مادة conductor + +343 +00:27:40,250 --> 00:27:43,730 +ولا insulator، إيش بتكون؟ بتقولوا أنا في ثابت اسم + +344 +00:27:43,730 --> 00:27:47,550 +ال conductivity أو ال resistivity، صح؟ هاد مجياز، + +345 +00:27:47,550 --> 00:27:50,370 +هاد المجياز صار مشهور، صار رمز، بيسموه + +346 +00:27:50,370 --> 00:27:52,870 +conductivity، أول ما تطلع conductivity كبيرة، + +347 +00:27:52,870 --> 00:27:56,530 +بيقول هذا conductorصح ولا لأ؟ عشان كده تلاقي للفضة + +348 +00:27:56,530 --> 00:28:01,450 +أعلى قيمة للconductivity في الفضة وأقل قيمة ال + +349 +00:28:01,450 --> 00:28:05,110 +resistivity لها صحيح ولا لأ؟ إذا بدك تجيب مقاييس + +350 +00:28:05,110 --> 00:28:10,490 +معينة فبدت الثوابت هذه تنتشر كل واحد له ثابت بيجي + +351 +00:28:10,490 --> 00:28:14,210 +الشغل معينة زي أخدته برضه .. مش عارف وقتهش على + +352 +00:28:14,210 --> 00:28:19,710 +الأقل في فيزيا بقىالكندكتور لا يقدر الحرارة تزيد + +353 +00:28:19,710 --> 00:28:24,450 +تبعه الهواتف تبعها الهواتف تزيد تبعها + +354 +00:28:24,450 --> 00:28:29,190 +الهواتف تزيد + +355 +00:28:29,230 --> 00:28:33,670 +معامل الحراري اذا هذا هو المجياز اذا اول ما اطلع + +356 +00:28:33,670 --> 00:28:36,770 +بقول دي بالك هي مع الحرارة ال conductivity بتبعتها + +357 +00:28:36,770 --> 00:28:39,870 +بتتأثر كتير اذا لابد ان يكون مقياس هنا انا جيت + +358 +00:28:39,870 --> 00:28:44,350 +لشغلي انا المادة بدي احطها بدي اصلها polarization + +359 +00:28:44,350 --> 00:28:47,910 +متفجين مش كل المواد الاستجابية اللي هم واحدة اذا + +360 +00:28:47,910 --> 00:28:52,090 +لابد اننا ان يكون عندنا مقيس من هذه المقيس Alpha + +361 +00:28:52,090 --> 00:28:54,090 +اللي اديتكم ياها في الأول اللي سميتها ال + +362 +00:28:54,090 --> 00:29:00,850 +polarizability صحيح؟ طيب Epsilonأبسلون نوت وأبسلون + +363 +00:29:00,850 --> 00:29:05,230 +ثابت النفاذية الهدعوب الداي إلكتريك وال + +364 +00:29:05,230 --> 00:29:11,310 +susceptibility هذه أحد المقاييز والداي إلكتريك + +365 +00:29:11,310 --> 00:29:15,570 +constant يا ناس ما تذكرها تبع الكباسيتار الداي + +366 +00:29:15,570 --> 00:29:20,250 +إلكتريك constant إيش بيصير في الكباسيتار اللي محط + +367 +00:29:20,250 --> 00:29:27,550 +فيه داي إلكتريك بمقدار الداي إلكتريك constant كعبة + +368 +00:29:29,050 --> 00:29:33,090 +قابا، ذاكرينها قابا؟ هذه الـ dielectric constant + +369 +00:29:33,090 --> 00:29:39,810 +برضه إلها دعوة كلها هذه بيسميها ياء أو يقام انت + +370 +00:29:39,810 --> 00:29:42,230 +بتاخد ال solid state بيسموها ال electrical + +371 +00:29:42,230 --> 00:29:47,230 +properties of solidsبيقيصوا إيش الخواصة الكهربائية + +372 +00:29:47,230 --> 00:29:50,790 +للسلطين الخواصة الكهربائية يعني كيف تستجيب مع + +373 +00:29:50,790 --> 00:29:56,130 +الكهربا مع المجال الكهربائي فإبسلون و القابة و ال + +374 +00:29:56,130 --> 00:29:58,290 +susceptibility و ال polarizability و ال + +375 +00:29:58,290 --> 00:30:03,850 +polarization كلها مقيص لقداش المادة تستجيب مع + +376 +00:30:03,850 --> 00:30:07,420 +المجال الكهربائيفهمتوا جثثة الـCai والشاي هذه + +377 +00:30:07,420 --> 00:30:10,960 +جثثتها كيف؟ تمام خلصنا منها؟ يعني هذه مجرد ثوابت + +378 +00:30:10,960 --> 00:30:15,740 +وطبعا لمعناه يقول بالله في الشيخ جوجل + +379 +00:30:15,740 --> 00:30:19,680 +susceptibility of some materials بيجيبلك كل المواد + +380 +00:30:19,680 --> 00:30:22,320 +وكل واحدة susceptibility بتبقى بعدها جديش طب كيف + +381 +00:30:22,320 --> 00:30:26,380 +انجبتها؟ دي تجميع السنوات كل من يوم ما واحد جال + +382 +00:30:26,380 --> 00:30:28,940 +فيه susceptibility بعده كله ممكن يجيزوهاكيف + +383 +00:30:28,940 --> 00:30:31,360 +يقسموها؟ بيجيبوا الـPolarization، بيجيبوا المجال، + +384 +00:30:31,360 --> 00:30:33,420 +بيجيبوا الـSlope، من الـSlope بيقدروا يجيبوا + +385 +00:30:33,420 --> 00:30:35,980 +الـSusceptibility، وصار يتجمع كل مادة اللي لها + +386 +00:30:35,980 --> 00:30:38,680 +Susceptibility معروفة وفي جداول في الكتب وفي جوجل + +387 +00:30:38,680 --> 00:30:41,400 +موجودة وخاصة يعني، احنا مش قصتنا، بس عشان مجرد + +388 +00:30:41,400 --> 00:30:45,840 +نقولوا شيها Susceptibility، هي ثابت أو مقياس لمدى + +389 +00:30:45,840 --> 00:30:51,350 +استجابة المادة للـPolarization، اتفقنا؟ كتعريفأذن + +390 +00:30:51,350 --> 00:30:58,250 +حيث الـDimensionless constant هو الـElectric + +391 +00:30:58,250 --> 00:31:02,830 +susceptibility of the material تمام، أي سبستانس + +392 +00:31:02,830 --> 00:31:05,970 +تتعامل مع الاتصال الأعلى يسمى Linear، بيسموها + +393 +00:31:05,970 --> 00:31:10,400 +Linear عشان العلاقة بين B وE خطيةعشان العلاقة خطية + +394 +00:31:10,400 --> 00:31:13,620 +فبسموها Linear في بعض المواد مش Linear هذا علم + +395 +00:31:13,620 --> 00:31:17,820 +كبير علم ال solid state و في solid state one احنا + +396 +00:31:17,820 --> 00:31:22,660 +فقط فقط بنكون ع الدرج لما نخلص كل المادة بس ع + +397 +00:31:22,660 --> 00:31:27,080 +الدرج يعني solid state one بس بيحطنا ع الدرج + +398 +00:31:27,080 --> 00:31:32,740 +مانتخشش الباب يعني الباب بندجش حتى لأنه علم كبير + +399 +00:31:32,740 --> 00:31:37,500 +تمامطبعا بيقولي هذه المعادلة رقم 16 هي الـ total + +400 +00:31:37,500 --> 00:31:40,220 +electric field هي ال total electric field اللي هو + +401 +00:31:40,220 --> 00:31:42,720 +خارجي زي ال electric field اللي جاي منه ال + +402 +00:31:42,720 --> 00:31:47,480 +polarization ال field ال الكويتشن 16 مجرد ال total + +403 +00:31:47,480 --> 00:31:51,200 +electric field بسبب اتجاراته و ال polarization + +404 +00:31:51,200 --> 00:31:55,380 +نفسها و ليس ال external electric field اللي بولارز + +405 +00:31:55,380 --> 00:32:00,020 +ال مادة و هذه ال polarization تنتج مجموعتها مش + +406 +00:32:00,020 --> 00:32:06,000 +مشكلةالذي أريد أن أجمعه هو هذا القانون دي بتسوأ + +407 +00:32:06,000 --> 00:32:09,860 +إبسلون نوت إي زائد بي ما هذا القانون بدل بي بتحط + +408 +00:32:09,860 --> 00:32:16,400 +هذه ها شايفينها؟ حطيتها دي تسوأ إبسلون نوت إي زائد + +409 +00:32:16,400 --> 00:32:20,720 +بي بدل بي حطيت هذه إي إي إبسلون نوت إبسلون نوت + +410 +00:32:20,720 --> 00:32:24,180 +أخدت عالم الشركة الإبسلون نوت والإبسلون واحد زائدة + +411 +00:32:24,180 --> 00:32:29,920 +شاي هي الكابة هي الكابة ليست كابة للفراخ + +412 +00:32:32,570 --> 00:32:38,190 +1 طب خليكم صحصحيه يعني، جدش شائل الفرق؟ كابة واحد + +413 +00:32:38,190 --> 00:32:43,750 +زاد إبسلون Zero صح ولا لأ؟ إذن هذه هي الكابة، ليش + +414 +00:32:43,750 --> 00:32:45,850 +بدي أقولكم هي الكابة؟ عشان يقولوا أن الكتاب مستخدم + +415 +00:32:45,850 --> 00:32:52,650 +رمز مختلف، مستخدم إبسلون R، هي الكابة D بتسوي + +416 +00:32:52,650 --> 00:32:56,810 +إبسلون في E الشيء إبسلون، إبسلون وات في هذا الرمز + +417 +00:32:56,810 --> 00:33:03,600 +صح ولا لأ؟أبسلو بيساوي ابسلو نوت في واحد زائد كاي + +418 +00:33:03,600 --> 00:33:07,440 +if the permittivity of the medium it is clear that + +419 +00:33:07,440 --> 00:33:11,420 +in vacuum لتشاي بيساوي سفر the dimensionless + +420 +00:33:11,420 --> 00:33:14,940 +dielectric constant is defined as a dielectric + +421 +00:33:14,940 --> 00:33:19,200 +constant اللي كان رمزه كعبة زمانرمزه في كتابنا انا + +422 +00:33:19,200 --> 00:33:23,120 +مضطر اخد نفس رمز كتابنا ابسلون R يسمونه relative + +423 +00:33:23,120 --> 00:33:27,180 +عشان الواحد يقول منين جابله ال R احنا نطلع مرة + +424 +00:33:27,180 --> 00:33:30,640 +نجدنا كابا و نخليها كابا فار relative لأنها ابسلون + +425 +00:33:30,640 --> 00:33:34,640 +على ابسلون نوت فهي relative فأبسلون R بيسوي ابسلون + +426 +00:33:34,640 --> 00:33:38,280 +على ابسلون نوت فهذه relative نسبة بين two ابسلون + +427 +00:33:38,280 --> 00:33:41,890 +احنا سميناها في السليزيا بقى كابابتساوي واحد ذات + +428 +00:33:41,890 --> 00:33:46,710 +شاي في الفراغ هذه بتساوي واحد يعني هذه كده ايش؟ + +429 +00:33:46,710 --> 00:33:50,190 +Zero عشان كده كنا نقول كابا دايما اكبر من واحد + +430 +00:33:50,190 --> 00:33:58,870 +تذكرين؟ عيد C بتساوي كابا في C Note مرت علينا هذه + +431 +00:33:58,870 --> 00:34:03,130 +المعادلة؟ عشان كده قلنا ال dielectric ايش بتساوي + +432 +00:34:03,130 --> 00:34:06,290 +في ال C؟ بزيدها عشان يزيدها لازم تكون هذه اكبر من + +433 +00:34:06,290 --> 00:34:09,730 +واحد ولا لأ؟عشان هي أكبر من واحد يعني هذا واحد + +434 +00:34:09,730 --> 00:34:12,790 +موجود already أصغر قيمة له دلوقتي صفر إذا دائما + +435 +00:34:12,790 --> 00:34:18,570 +كابا أكبر من واحد تمام؟ للفراغ كم هذا؟ Zero وهو + +436 +00:34:18,570 --> 00:34:22,250 +أصغر قيمة لكون كابا بتسوء واحد إذا أنا عندي قانون + +437 +00:34:22,250 --> 00:34:32,270 +جديد يقول لي دي بتساوي Y في E هذا + +438 +00:34:32,270 --> 00:34:35,890 +القانون للفراغ إيش بتصير للفراغ + +439 +00:34:42,340 --> 00:34:47,920 +صح؟ رجعنا نرجع لقانون جاسي اللي نجيته في اللعبة دي + +440 +00:34:47,920 --> 00:34:51,040 +اللي دي لو بده فراغ ايش بده حط محل دي ابسل نوت فيه + +441 +00:34:51,040 --> 00:34:56,300 +رجع حدهرجع حاجة فهان اعم قال لي مادة و لا فراء و + +442 +00:34:56,300 --> 00:34:58,880 +خُط إبسلون .. إيش إيه إبسلون نوت؟ قال لي ثابت + +443 +00:34:58,880 --> 00:35:01,620 +النفاذية للفراء .. يا صديقي إبسلون ثابت النفاذية + +444 +00:35:01,620 --> 00:35:06,700 +للمادة .. و خلصنا .. إذا انصرت إبسلون هو ثابت + +445 +00:35:06,700 --> 00:35:11,640 +النفاذية للمادة .. و كل مادة زي ما إلها كابة و + +446 +00:35:11,640 --> 00:35:15,520 +إلها susceptibility إلها إبسلون .. و إبسلون هي أحد + +447 +00:35:15,520 --> 00:35:18,440 +المجاييس اللي اتفجنا عليها .. أحد المجاييس اللي + +448 +00:35:18,440 --> 00:35:21,420 +لازم ادنيها عشان أقول والله المادة تستجيب أو لا + +449 +00:35:21,420 --> 00:35:28,970 +تستجيب ..تمام؟ حطوا في باتكم شغلة للكندكتر الـ + +450 +00:35:28,970 --> 00:35:36,810 +conductor هذه إله متجربة علمالة نهايةبإيه لأ؟ ليه؟ + +451 +00:35:36,810 --> 00:35:39,230 +لأن الـconductor أصلا فيه free electronism خالص + +452 +00:35:39,230 --> 00:35:44,010 +وبالتالي وكأنه polarized من دون إشي، مظبوط؟ إذا + +453 +00:35:44,010 --> 00:35:47,050 +أصل حاجة أنه يصله polarization، كنت أتبعه + +454 +00:35:47,050 --> 00:35:49,930 +polarized، بمعنى آخر إذا كان بدك بولاريز، لأن + +455 +00:35:49,930 --> 00:35:52,390 +الإلكترون عشجة وانهار عشجة، الإلكترون فالت من + +456 +00:35:52,390 --> 00:35:56,370 +زمان، صحيح؟ وبالتالي for conductors هذه كبيرة كتير + +457 +00:35:57,700 --> 00:36:02,540 +كبيرة كتير تمام طبعا هاي هو مديني انا جايب ال .. + +458 +00:36:02,540 --> 00:36:05,440 +مديني يعرف الكتاب قاللي ها دي epsilon R لبعض + +459 +00:36:05,440 --> 00:36:09,180 +المواد في ال vacuum اتفقنا كدهش؟ واحد طبعا ال + +460 +00:36:09,180 --> 00:36:12,500 +helium بجربها ما هو ال helium و ما هو مكونات + +461 +00:36:12,500 --> 00:36:16,300 +الهواء صحيح؟ وحنا بنقول .. لما نقول فراغ نقول و + +462 +00:36:16,300 --> 00:36:21,660 +الهواء و الفراغ أخوة تمام طلعوا مثلاالـ Silicone + +463 +00:36:21,660 --> 00:36:26,640 +عشان هو سيمي كوندكتر جرّا بيزيد، صحيح؟ طبعا الـ + +464 +00:36:26,640 --> 00:36:30,760 +Water 80 لأنه على طول بتصير سيمي كوندكتر، بتأيّن + +465 +00:36:30,760 --> 00:36:34,140 +فهدول أقلهم، احنا طبعا هدول زي ما اتفجنا، انتوا + +466 +00:36:34,140 --> 00:36:36,640 +حطوا على جوجل، بيجيبوا من كل المواد، بس اكتبوا أي + +467 +00:36:36,640 --> 00:36:38,940 +مادة بدكم إياها على جوجل، بديها مثلا الـ + +468 +00:36:38,940 --> 00:36:41,920 +Structability تبعتها، ولا البروليزابيتري تبعتها، + +469 +00:36:41,920 --> 00:36:45,540 +ولا الـDietary Constance تبعتها، كلها تيجي، مخزنة + +470 +00:36:45,540 --> 00:36:52,130 +من زمان، انشوف هذا المثال الحلو الآنطبعا خمس دقايق + +471 +00:36:52,130 --> 00:36:56,410 +يا جنون صح ساعتين؟ صح فيها برك المحاضرة دي على كل + +472 +00:36:56,410 --> 00:37:02,750 +حال، تمام؟ لإن و أنا عندي شباب خلصتها دي كلها مثال + +473 +00:37:02,750 --> 00:37:04,930 +هذا يعني خلصته واحد اللي بياخد معاه وقت كتير لإنه + +474 +00:37:04,930 --> 00:37:09,150 +بده يشرح هي كتير و + +475 +00:37:09,150 --> 00:37:12,440 +أنا بشرح حد طبعا هذاFind the potential at the + +476 +00:37:12,440 --> 00:37:15,060 +center، مظبوط؟ جيبنا الجهود، وبعد ما جيبنا الجهود، + +477 +00:37:15,060 --> 00:37:17,700 +قعدنا ربع ساعة نشرح في المثال، اللي هو طالب يقول، + +478 +00:37:17,700 --> 00:37:20,140 +طب هذا كله مش مطلوب، مش أنت بتقول بس بديكي الجهود، + +479 +00:37:20,140 --> 00:37:22,540 +جيبنا الجهود، قولتلي هو already مثلها، بخليه مطلوب + +480 +00:37:25,860 --> 00:37:29,700 +خلّيه مطلوب يعني في المثال مش مطلوب و انا في سؤال + +481 +00:37:29,700 --> 00:37:33,180 +الامتحان بخلّيه مطلوب اوجد و اوجد و اوجد عشان انه + +482 +00:37:33,180 --> 00:37:37,060 +يتربط المثال و يتربط مع كل حاجة لازم الواحد ياخد و + +483 +00:37:37,060 --> 00:37:39,660 +يعطف المثال و بعد يليم نحضر حتة في أساس الامتحان و + +484 +00:37:39,660 --> 00:37:43,420 +نقعد .. مافيش عندك كتاب يقولي ايه المطلوب انا اللي + +485 +00:37:43,420 --> 00:37:48,300 +بعمل السؤال و لا أسمع تمام بيقولي a metal sphere + +486 +00:37:48,300 --> 00:37:52,470 +مثل يعني كنت دكتور و مش كنت دكتورConductor of + +487 +00:37:52,470 --> 00:37:56,730 +radius A Carries a charge Q بيحمل شحنة زرعادي free + +488 +00:37:56,730 --> 00:38:03,810 +هاد هو حاملها is dis-surrounded out to radius B by + +489 +00:38:03,810 --> 00:38:07,050 +linear dielectric material linear dielectric + +490 +00:38:07,050 --> 00:38:11,810 +material يعني العلاقة الـP بتساوي Epsilon Note Chi + +491 +00:38:11,810 --> 00:38:16,670 +في E سارة المفعول by linear dielectric material of + +492 +00:38:16,670 --> 00:38:20,930 +permittivity Epsilonإبسلون تبعتها بعرفها إبسلون + +493 +00:38:20,930 --> 00:38:27,230 +تعتها دانيها يعني بمعنى آخر لو قاللي أنا قولتها دي + +494 +00:38:27,230 --> 00:38:31,190 +إبسلون إيه؟ لو قاللي دي أنا عرفت بقدر أجيب إيه ولا + +495 +00:38:31,190 --> 00:38:35,210 +لا؟ آه لأن إبسلون عدانيها أعطاني إبسلون خلاص ثابت + +496 +00:38:35,210 --> 00:38:40,350 +و أعطانيها find the potential at the center أول + +497 +00:38:40,350 --> 00:38:48,080 +أرسم الرسمة هي الرسمة الأحمر مثل نحاستمام، والزيتي + +498 +00:38:48,080 --> 00:38:58,340 +تمام، والزيتي هو المادة ال dielectric، حلوإيش بده؟ + +499 +00:38:58,340 --> 00:39:02,780 +بده الجهود عند الـcenter طبعا الجهود D ملها الجهود + +500 +00:39:02,780 --> 00:39:06,360 +الجهود مثل ال E وانا بدك الجهود .. هاي قانون + +501 +00:39:06,360 --> 00:39:10,300 +الجهود الجهود عند الـcenter بالثاوم سالب من منا + +502 +00:39:10,300 --> 00:39:16,000 +نهاية للصفر E dot DS ليش D dot DS؟ لأن الجهود + +503 +00:39:16,000 --> 00:39:19,660 +مرتبطة بE مش مرتبطة بD صح ولا لأ؟ سؤالي إيه لكم + +504 +00:39:19,660 --> 00:39:24,960 +اتطلع يا نور؟ وين منا نهاية هي؟ طب و النقطة ال + +505 +00:39:24,960 --> 00:39:28,670 +origin؟طول ما انا ماشي من مالة نهاية لهناك بس ما + +506 +00:39:28,670 --> 00:39:30,990 +جال واحد يكون معايا اذا هذا كان من هناك تكامل + +507 +00:39:30,990 --> 00:39:34,910 +وتتجسم تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +508 +00:39:34,910 --> 00:39:35,230 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +509 +00:39:35,230 --> 00:39:36,270 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +510 +00:39:36,270 --> 00:39:36,570 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +511 +00:39:36,570 --> 00:39:36,570 +تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة تلاتة + +512 +00:39:36,570 --> 00:39:45,430 +تلاتة تلاتة تلاتة تلاتة تلاتة + +513 +00:39:45,430 --> 00:39:53,730 +تل + +514 +00:39:55,460 --> 00:40:02,340 +أذا بدي هذا و بدي هذا صح؟ حلو الآن + +515 +00:40:02,340 --> 00:40:06,880 +عشان ما تلخمنيش ولا bound ولا غير ال bound استخدم + +516 +00:40:06,880 --> 00:40:11,840 +قانون جاسري جديد هجد هذا لو عرفته بتقدر تجيب ايه و + +517 +00:40:11,840 --> 00:40:16,280 +لا بتقدرش تجيب ايه تقدر تجيب ايه طب يالا بدي أجيب + +518 +00:40:16,280 --> 00:40:18,800 +الآن قانون هذا + +519 +00:40:25,530 --> 00:40:31,030 +بدي أخد سطح جاوس أخد وين؟ هو بدي في الـ Center لأ + +520 +00:40:31,030 --> 00:40:34,890 +هرجيت أنا بدي إيه؟ مافي إيه في ال Center هرجيت أنا + +521 +00:40:34,890 --> 00:40:38,110 +عندي E out و E in و E between صح ولا لأ؟ وين أخد + +522 +00:40:38,110 --> 00:40:43,430 +سطح جاوس أول؟ إيش بدك تجيب؟ E between ولا E out؟ + +523 +00:40:43,430 --> 00:40:50,570 +بدك between؟ between صح بدك between نبدأ فيه؟ طيب + +524 +00:40:50,570 --> 00:41:01,750 +كيف سطح جاوس بدك إيه؟ بدري أخد سطح جاوسكرة هذا لأ + +525 +00:41:01,750 --> 00:41:07,490 +صح between فقط هي قالت between خلّيك فيها هي قالت + +526 +00:41:07,490 --> 00:41:14,970 +between تمام صح between اه تمام قدش q enclosed + +527 +00:41:14,970 --> 00:41:22,130 +free طيب + +528 +00:41:22,130 --> 00:41:31,210 +نور بدهاش between بدها برا هي براجدّيش Q enclosed؟ + +529 +00:41:31,210 --> 00:41:36,910 +برضه Q إذا هل جيت برا و لا .. وبتوين و لا برا نفسك + +530 +00:41:36,910 --> 00:41:42,630 +تجيب جواب صح ولا لأ؟ إذا معناته بعد ما عملت هذا + +531 +00:41:42,630 --> 00:41:49,690 +الشيء طبعا جوا في الحمار صفر ما هو كنت أكتر وأكبر + +532 +00:41:49,690 --> 00:41:56,140 +من إيه؟ يعني هنا أو هنا واحدصح؟ المهم أكبر من ايه؟ + +533 +00:41:56,140 --> 00:42:01,620 +يعني من هنا واطلع الجواب تبعد D طبعا في هذه الحالة + +534 +00:42:01,620 --> 00:42:07,420 +من هنا هذه D طلعتها برا وهذه أربعة by R تربيع وهذه + +535 +00:42:07,420 --> 00:42:13,460 +كمان إذا ما اتفقنا Q إذا D بيسوأ Q على أربعة by R + +536 +00:42:13,460 --> 00:42:20,120 +تربيع طب سؤالي الآن هلجيت دليلة بدي إيه برا استخدم + +537 +00:42:20,120 --> 00:42:20,600 +هذا القانون + +538 +00:42:25,020 --> 00:42:30,820 +إذاً E out بتساوي D على إبسلون نوت، ليش حطيت + +539 +00:42:30,820 --> 00:42:37,760 +إبسلون نوت؟ لأنه برا فرخ طيب و E between بتساوي D + +540 +00:42:37,760 --> 00:42:43,020 +على إبسلون صح ولا لأ؟ إبسلون نوت بعرفه، إبسلون + +541 +00:42:43,020 --> 00:42:48,050 +أعطانيه يعني، جالي هيها، هذه صارت نقطةصحيح ولا لأ؟ + +542 +00:42:48,050 --> 00:42:54,090 +تمام ما زال هيك عرفت أجيب E out و E between بقى + +543 +00:42:54,090 --> 00:43:01,970 +أقوله خلصنا وين؟ + +544 +00:43:01,970 --> 00:43:10,010 +ليش؟ أبسل + +545 +00:43:10,010 --> 00:43:18,290 +نوت في E أبسل نوت في E مش أبسل في Eحلو، هيو، هيو، + +546 +00:43:18,290 --> 00:43:24,270 +هاي شفاه؟ لو هذا سفر بقى أتصاط إيه؟ البولاريزيشن + +547 +00:43:24,270 --> 00:43:30,130 +انبلع دوهان لأن لو هذه إبسرون نوت، بتقولي ليه ليه + +548 +00:43:30,130 --> 00:43:34,010 +مافيش بولاريزيشن؟ لكن كونوا إبسرون، ليه تغيرك + +549 +00:43:34,010 --> 00:43:42,050 +إبسرون؟ عشان فيه بولاريزيشن، فهمتين؟ طب + +550 +00:43:42,050 --> 00:43:47,950 +جيبين ال polarization برا؟لأ لأ لأ هنا out مش out + +551 +00:43:47,950 --> 00:43:55,090 +بدي polarization برا عارفة يعني أنه سافر يعني + +552 +00:43:55,090 --> 00:43:58,830 +بالنهاية وين ودنك يا جوحا كل الطرق بتأدي إلى روم + +553 +00:43:58,830 --> 00:44:02,230 +وين ماتروحي لإنه برا خطوط إبسل انه مافيش + +554 +00:44:02,230 --> 00:44:09,670 +polarization بيأكد سؤال نور انه بيجوا مع بعضساعتها + +555 +00:44:09,670 --> 00:44:14,190 +كملت زي ما حكينا تلت تكاملات و أخر تكامل Zero عشان + +556 +00:44:14,190 --> 00:44:18,990 +أنه كنت أكتر فطلع الجواب هيك طبعا هي خلص المطلوب + +557 +00:44:18,990 --> 00:44:22,170 +خلص أوجد الجهود لسه عندنا قصة طويلة عريضة المرة + +558 +00:44:22,170 --> 00:44:27,170 +الجاية اللي ماكنش داخل تمام؟ حسب كلام الشباب تمام؟ + +559 +00:44:27,170 --> 00:44:33,190 +وطبعا التعليق اللي بعده أغلب مواضع السؤال أسئلة + +560 +00:44:33,190 --> 00:44:37,650 +متحامين هذه الشغلات اللي بتعتبر مش داخلة يعنيمش + +561 +00:44:37,650 --> 00:44:40,290 +داخلة على عزمته يعني مش داخلة إيه + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CzKZn6-HWRI_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CzKZn6-HWRI_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..38971272ebcf5d529a9994e68d94dce03c4112a8 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CzKZn6-HWRI_postprocess.srt @@ -0,0 +1,2100 @@ +1 +00:00:21,660 --> 00:00:28,320 +خلّينا نكمل اللي عملناه المرة الماضية ال method + +2 +00:00:28,320 --> 00:00:32,150 +اللي بنحكي عنها هي method of imagesالـ method of + +3 +00:00:32,150 --> 00:00:36,330 +images زي ما حكينا هي طريقة غير systematic غير + +4 +00:00:36,330 --> 00:00:40,330 +scientific لكن في النهاية إحدى الطرق المعتمدة عشان + +5 +00:00:40,330 --> 00:00:44,890 +نجيب الجهد الكهربا إلى بعض الحالات فإيش بتقول a + +6 +00:00:44,890 --> 00:00:48,230 +charge distribution plus a potential specified on + +7 +00:00:48,230 --> 00:00:52,110 +a surface بقول إذا كان في عندك charge distribution + +8 +00:00:52,110 --> 00:00:58,290 +شحنات معروفة بجوارها سطح هذا السطح لابد أن يكون + +9 +00:00:58,290 --> 00:01:04,470 +جهده specified معروفSpecified is replacedبتحول هذا + +10 +00:01:04,470 --> 00:01:11,710 +السؤال نظريًا بصورة تخيّلية إلى نفس الشحنات وصورة + +11 +00:01:11,710 --> 00:01:17,530 +لهذه الشحنات إذا أنا بدي أفترض افتراض صورة لنفس + +12 +00:01:17,530 --> 00:01:21,530 +الشحنات الشرط الوحيد أو الشرطين الموجودين أن + +13 +00:01:21,530 --> 00:01:25,510 +الصورة لازم تكون في المنطقة خارج نطاق منطقتك اللي + +14 +00:01:25,510 --> 00:01:32,310 +بتشتغل عليها والشغل التاني أن موضع ال imageوقيمتها + +15 +00:01:32,310 --> 00:01:36,750 +بتحددها جهد السطح الجهد اللي على السطح اللي هي ال + +16 +00:01:36,750 --> 00:01:44,930 +boundary condition and soالتشارد ديستربيوشن ومحطة + +17 +00:01:44,930 --> 00:01:50,530 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +18 +00:01:50,530 --> 00:01:53,570 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +19 +00:01:53,570 --> 00:01:56,250 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +20 +00:01:56,250 --> 00:01:57,610 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +21 +00:01:57,610 --> 00:02:01,590 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +22 +00:02:01,590 --> 00:02:07,890 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة تش + +23 +00:02:09,430 --> 00:02:15,190 +plane سطح conductor infinite اذا a point in charge + +24 +00:02:15,190 --> 00:02:20,350 +q is held a distance d above an infinite grounded + +25 +00:02:20,350 --> 00:02:24,590 +conducting a plane find v above the plane بيقول لي + +26 +00:02:24,590 --> 00:02:28,950 +اوجد الجهد عند النقطة هذه اي نقطة برافقلنا حسب + +27 +00:02:28,950 --> 00:02:34,470 +الكلام charge distribution هاي السطح بحد هذه + +28 +00:02:34,470 --> 00:02:38,190 +المنطقة السطح جهده معروف ولا لأ؟ جالي grounded + +29 +00:02:38,190 --> 00:02:44,520 +يعني zero تمام بيقولي بدلواالسؤال بيصير نفس الشحنة + +30 +00:02:44,520 --> 00:02:50,560 +و image لها هذه الشحنة ال image تبعها ممنوع يكون + +31 +00:02:50,560 --> 00:02:55,720 +فوق لازم يكون تحت بدي يكون تحت عشان احافظ على ان + +32 +00:02:55,720 --> 00:02:59,320 +الجهود يكون zero على السطح بقول ال image لازم تكون + +33 +00:02:59,320 --> 00:03:03,940 +سالبة وعلى نفس البعد فبنقول solution at the + +34 +00:03:03,940 --> 00:03:08,060 +boundary condition يعني at z بتسوي zeroالـ z يجب + +35 +00:03:08,060 --> 00:03:11,920 +أن يكون صحيحًا، هذا يعني أنه لإيقاف هذه الوضعية + +36 +00:03:11,920 --> 00:03:15,400 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +37 +00:03:15,400 --> 00:03:15,940 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +38 +00:03:15,940 --> 00:03:18,880 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +39 +00:03:18,880 --> 00:03:24,200 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +40 +00:03:24,200 --> 00:03:24,720 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +41 +00:03:24,720 --> 00:03:25,560 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +42 +00:03:25,560 --> 00:03:32,180 +الوضعية الوضعية الوإذا كيف صار السؤال؟ السؤال + +43 +00:03:32,180 --> 00:03:36,320 +انقلب إلى و كأنه عندك two pointed charges و بدك + +44 +00:03:36,320 --> 00:03:39,540 +تجيب الجهد لهم و لما يكون في عندي two pointed + +45 +00:03:39,540 --> 00:03:42,620 +charges و بدك تجيب الجهد لهم سؤالي trivial very + +46 +00:03:42,620 --> 00:03:46,660 +very simple انك انت عندك two charges بدك تجيب V + +47 +00:03:46,660 --> 00:03:53,340 +بقول V equal K Q1 على R script 1 ذات Q2 على R + +48 +00:03:53,340 --> 00:03:58,830 +script 2وضاير علي بس أجيب R script one و two و + +49 +00:03:58,830 --> 00:04:04,810 +نذاكر بعضنا R script equal R minus R شرطة ذاكرين + +50 +00:04:04,810 --> 00:04:10,910 +ولا لأ؟ R minus R شرطة R هو إحداث ال point وR شرطة + +51 +00:04:10,910 --> 00:04:14,170 +هو ال coordinate السبب عن ال charge طبعا ال point + +52 +00:04:14,170 --> 00:04:21,770 +في الحالتين هي Rهذه احداثيها D باتجاه Z وهذه D + +53 +00:04:21,770 --> 00:04:27,230 +بتجاه سلب Z فبالتالي زي ما حكينا D وانا مش شغال + +54 +00:04:27,230 --> 00:04:27,410 +هنا + +55 +00:04:32,110 --> 00:04:42,770 +R-R1R-R2R-R1R + +56 +00:04:42,770 --> 00:04:49,950 +-R2R-R2R-R1R-R2R-R1R-R2R-R2R-R1R-R2R-R1R-R2R-R1R + +57 +00:04:49,950 --> 00:04:50,590 +-R2R-R1R-R2R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R + +58 +00:04:50,590 --> 00:04:50,690 +-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R + +59 +00:04:50,690 --> 00:04:52,010 +-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R + +60 +00:04:52,010 --> 00:05:06,310 +-R1R-R1R-R1R-R1R-R12R-R²R²R²R²R²R²R²R²R² + +61 +00:05:13,840 --> 00:05:19,120 +أحكي احنا بنقدر نبتدر المنطقة اللي هي خارج النطاق + +62 +00:05:19,120 --> 00:05:21,980 +هي المنطقة اللي قبل شوية تعلمتها هي الوحيدة اللي + +63 +00:05:21,980 --> 00:05:27,080 +عندها جود زيرو براو عليك يعني بمعنى اخر انت ليش + +64 +00:05:27,080 --> 00:05:29,840 +خدت هذه النقطة وماخدتش هذه النقطة؟ هاي جازك؟ لأ + +65 +00:05:29,840 --> 00:05:35,980 +اوضع سبكيو هى المنطقة اللي عندها جود زيرو وهي هنا + +66 +00:05:35,980 --> 00:05:40,760 +هى جازك؟ هي خارج النطاقهذه الـ image بدي أضعها + +67 +00:05:40,760 --> 00:05:44,020 +خارج النطاق، الـ image، لكن الجهد وين بتكون zero؟ + +68 +00:05:44,020 --> 00:05:47,640 +على السطح، يعني على السطح، على النقاط هذه كلها يا + +69 +00:05:47,640 --> 00:05:52,040 +نور، كل هذه النقاط، هذه كل هذه النقاط، زي تبعتهم + +70 +00:05:52,040 --> 00:05:56,100 +zero ولا لأ؟ أه، إذا النقاط اللي على السطح هي + +71 +00:05:56,100 --> 00:05:59,480 +الجهد بيسوي zero طب، بس قصدي على ال image، هي ال + +72 +00:05:59,480 --> 00:06:02,600 +image اللي بقص المضمون جزك إنت لو ال image خططيها + +73 +00:06:02,600 --> 00:06:06,560 +هنا مثلا؟يعني حطيتها في أي مُنطقة غير هنا يكون + +74 +00:06:06,560 --> 00:06:10,580 +الجهد .. أه طبعا لو حطيتها هنا بظبطش، بنفعش، انت + +75 +00:06:10,580 --> 00:06:13,860 +تصور ان لو حطيتها هنا بتظبط؟ لأ بتظبطش، انه عشان + +76 +00:06:13,860 --> 00:06:16,320 +يكون عندك الجهد هنا Zero فلازم يكون في المنطقة + +77 +00:06:16,320 --> 00:06:18,880 +التانية، لازم يكون في المنطقة التانية عشان انا + +78 +00:06:18,880 --> 00:06:22,720 +اعمل تعادل، انه كيف الجهد .. انا اتعلم هذا الكلام، + +79 +00:06:22,720 --> 00:06:26,820 +بس قصدي انه انت و أبتلى ممكن تحط ال image في أي + +80 +00:06:26,820 --> 00:06:30,080 +مكان تحس انه يكون الجهد سوء Zero بظبط، بس المكان + +81 +00:06:30,080 --> 00:06:34,920 +هدفه أي مكان outside the regionأصلا هي هذه المنطقة + +82 +00:06:34,920 --> 00:06:39,240 +هي الوحيدة اللي بيكون فيها اه بس بس صحيح مظبوط + +83 +00:06:39,240 --> 00:06:45,440 +تمام اذا بعد ما طلعناها جون هايفي الآن بعد ما حطت + +84 +00:06:45,440 --> 00:06:48,760 +السؤال بدي اعمل شك بسيط انا بيبقى بنعيد تعالي هنا + +85 +00:06:48,760 --> 00:06:51,380 +يا عزيزي جانب صحبيتك وانسيها + +86 +00:06:54,580 --> 00:06:58,300 +تمام دعنا نتكلم عن شحنات الشحن على السطح + +87 +00:07:08,040 --> 00:07:13,360 +بالقطع أساليب Q تحديدًا خلّينا نجرب قلنا لو بدي + +88 +00:07:13,360 --> 00:07:16,800 +أجيب أنا Sigma روحت للـBoundary Condition اللي + +89 +00:07:16,800 --> 00:07:20,800 +بيقول partial V1 على partial N minus partial V2 + +90 +00:07:20,800 --> 00:07:25,180 +على partial N at the surface must equal to minus + +91 +00:07:25,180 --> 00:07:28,400 +Sigma على Y node من هذه بقدر أجيب Sigma ومن Sigma + +92 +00:07:28,400 --> 00:07:35,390 +بقدر أجيب Q تمام، الآنالـ N to the surface is the + +93 +00:07:35,390 --> 00:07:40,370 +Z coordinates وبالتالي هذه الـ N بتنجلب لـ Z و هذه + +94 +00:07:40,370 --> 00:07:46,330 +بتنجلب ل Z على طول حسب السطح تبعي تمام V2 is + +95 +00:07:46,330 --> 00:07:52,230 +constant لأنه infinite plane حيث كل حاجة وبالتالي + +96 +00:07:52,230 --> 00:07:56,750 +صارت عندي القانون هذا روح partial V1 على partial Z + +97 +00:07:57,680 --> 00:08:00,980 +الـ N هو الـ Z و هم اتفقين ان الـ Normal بدي في + +98 +00:08:00,980 --> 00:08:03,960 +الآخر يكون أحد ال coordinates تبعتي اللي أنا + +99 +00:08:03,960 --> 00:08:10,960 +بتعامل معاها تمام يلّا نشتق Z بالنسبة للـ Z بتشتق + +100 +00:08:10,960 --> 00:08:14,760 +Z بالنسبة للـ Z طبعا زي ما اتفقنا ان هذا عبارة عن + +101 +00:08:14,760 --> 00:08:20,620 +نص بالسالب لأن هذا أس سالب نص نفسه بيجي في التفاضل + +102 +00:08:20,620 --> 00:08:29,930 +اللي جوا 2Z-D مظبوط هيك ولا لأ؟ و هذا بيصير أسسلب + +103 +00:08:29,930 --> 00:08:35,310 +تلاتة ع اتنين براش ال .. ال squirrel root هداك + +104 +00:08:35,310 --> 00:08:40,800 +نفسه بس بصير ال z plus ديوبالتالي لما جيت عملتها + +105 +00:08:40,800 --> 00:08:46,420 +ناقص النص و مع التنين بتروح هاي النص و هاي التنين + +106 +00:08:46,420 --> 00:08:52,980 +راحت فz-d على هذا و هنا ناقص z زائد d بدي أحط ال z + +107 +00:08:52,980 --> 00:08:57,260 +بتساوي صفر لما أحط ال z بتساوي صفر هذي بتصير ناقص + +108 +00:08:57,260 --> 00:09:00,160 +d تربيع و هذي t تربيع بيصيروا زي بعض التنين + +109 +00:09:00,160 --> 00:09:05,820 +بيصيروا التنين زي بعض وبالتالي طلعت سيجما بهذا + +110 +00:09:05,820 --> 00:09:10,940 +الشكلطلعت سيجما بهذا الشكل هذه ممكن اعتبرها بتساوي + +111 +00:09:10,940 --> 00:09:20,700 +minus QD على 2pi رو تربيع plus D تربيع جزر التلاتة + +112 +00:09:20,700 --> 00:09:24,760 +ع 2 إذا بتحولها to cylindrical coordinates إذا + +113 +00:09:24,760 --> 00:09:27,260 +بتحولها to cylindrical coordinates هلجيت زي ما + +114 +00:09:27,260 --> 00:09:34,380 +اتفقنا المرة هديك بدك Q بسوء تكامل سيجما DA وهذه + +115 +00:09:34,380 --> 00:09:42,090 +بتساويتكامل sigma dx dy من ناقص من النهاية لمل + +116 +00:09:42,090 --> 00:09:45,390 +نهاية من ناقص من النهاية لمل نهاية بتطلع التكامل + +117 +00:09:45,390 --> 00:09:52,110 +او بتساوي sigma عندك الذت ثابت رو دي رو دي فاي + +118 +00:09:52,110 --> 00:09:58,170 +وبتصير التكامل الفاي من صفر لتنين او من صفر لمل + +119 +00:09:58,170 --> 00:10:04,820 +نهاية ومن صفر لتنينوفي الحالتين لو عملتي التكاملين + +120 +00:10:04,820 --> 00:10:09,500 +هيطلع عندك الجواب سالب Q طبعا انا طلعنا هذا و طلعت + +121 +00:10:09,500 --> 00:10:15,480 +هذا او طلع التكامل واحد و التكاملات بأي كتاب + +122 +00:10:15,480 --> 00:10:17,320 +mathematical physics بيجيبوا التكاملات اللي + +123 +00:10:17,320 --> 00:10:21,540 +بتغلبكم أو بتطلعوها بس انا هينطلعتكم إياها في ال + +124 +00:10:21,540 --> 00:10:23,560 +cylindrical coordinates الأسهل يعني بالنسبة إلي + +125 +00:10:23,560 --> 00:10:27,260 +كانتهذه .. لأنه .. شوفوا انتوا هذه باست وهذه مقام + +126 +00:10:27,260 --> 00:10:32,060 +فتفاضل المقام موجود في الباست فبتصير سهلة لكن لما + +127 +00:10:32,060 --> 00:10:36,360 +بدي اتعامل معاها dx dy هيكون عندكم انتاج كامل + +128 +00:10:36,360 --> 00:10:39,280 +عبارة عن dx على x تربيع ذات y تربيع دي زي تلتة على + +129 +00:10:39,280 --> 00:10:43,380 +اتنين طبعا مش صعب نتعامل معه لكن في النهاية لجأتها + +130 +00:10:43,380 --> 00:10:49,820 +دك أسهل اللي أنا عملته تمام هذا المثال الأول على + +131 +00:10:49,820 --> 00:10:58,080 +ال method of imagesعندي charge محطوط جنب infinity + +132 +00:10:58,080 --> 00:11:04,540 +plane كمان مثال بيقول لي a point in charge q is + +133 +00:11:04,540 --> 00:11:12,130 +situated a distance a from the centerof a grounded + +134 +00:11:12,130 --> 00:11:17,770 +conducting sphere of radius capital R finds V + +135 +00:11:17,770 --> 00:11:21,430 +outside that sphere تلعب رسمك كيف بتكون it's child + +136 +00:11:21,430 --> 00:11:24,970 +distribution وفيه سطح بس السطح الأن مش infinite + +137 +00:11:24,970 --> 00:11:30,620 +plane أقل عن كرة سطحهذا Grounded يعني لم يجد جهده + +138 +00:11:30,620 --> 00:11:35,960 +Zero إذا برضه السطح جهده معروف إذا كل شروط ال + +139 +00:11:35,960 --> 00:11:41,500 +method of images موجودة جالس تبدله بنفس الشحنة + +140 +00:11:41,500 --> 00:11:44,660 +وانسة هذا اعتبره مش موجود انت بتتخيل انه موجود لكن + +141 +00:11:44,660 --> 00:11:48,520 +ان انت بتحقق المكان اشدعاه فيه بدك تحط الآن image + +142 +00:11:48,520 --> 00:11:56,980 +يعني و انا احطهاأو خارج المنطقة الخارجية أين داخل + +143 +00:11:56,980 --> 00:12:00,940 +القرى هجيت أنا بدي أحط ال image داخل القرى قطعا + +144 +00:12:00,940 --> 00:12:07,100 +تمام؟ إذا معناته let the image charge كيو شرطة + +145 +00:12:07,100 --> 00:12:11,440 +تمام؟ be located a distance B from the center of + +146 +00:12:11,440 --> 00:12:17,570 +the sphere حطيطة هنا هجي سوينا و قعدنا نقطة Bهل + +147 +00:12:17,570 --> 00:12:21,270 +جيت هذه بي؟ أنا مش عارفها إيش علاقتها بالإيه؟ وQ + +148 +00:12:21,270 --> 00:12:24,810 +شرطة هل هي بالساوية سالية بـQ زي أول ولا لا؟ قولنا + +149 +00:12:24,810 --> 00:12:27,610 +هي ممكن مش لا، ليش؟ لأن قولنا هذه كانت مرايا + +150 +00:12:27,610 --> 00:12:31,930 +مستوية، هذه الآن مرايا مش مستوية، واضحة، إذا أنا + +151 +00:12:31,930 --> 00:12:34,890 +عندي مجهولين هل جيت؟ الـQ شرطة إيش بالساوية؟ وإيش + +152 +00:12:34,890 --> 00:12:38,490 +علاقتها بالكلمة الأصلية؟ ماعرفش، بيها دي؟ كدش + +153 +00:12:38,490 --> 00:12:42,370 +البعوض؟ برضه ماعرفش، إذا عندي أنا مجهولين بدياهم + +154 +00:12:42,780 --> 00:12:47,020 +لكن في النهاية قال لي واحدة واحدة انت عندك المسألة + +155 +00:12:47,020 --> 00:12:51,960 +مش انغلبت لسؤال اجيبي جهد for two pointy charges + +156 +00:12:51,960 --> 00:12:57,000 +ولا لا نفس السؤال بدل مكان شحنة و سطح و السطح معقد + +157 +00:12:57,000 --> 00:13:01,020 +و كده بتتعامل معاه بقولك انسى السطح مش موجود just + +158 +00:13:01,020 --> 00:13:05,180 +you have two pointy charges بدخل اجيبي الجهد عند + +159 +00:13:05,180 --> 00:13:09,190 +النقطة هذهطب ع الو انت بتجيب مين بدي يحددك الـQ + +160 +00:13:09,190 --> 00:13:12,030 +شرطه بيه؟ بقوله بقوله انه على السطح يجب الجهد يكون + +161 +00:13:12,030 --> 00:13:16,210 +Zero كيف بدي أخلي الجهد على السطح و أنا جاعد بجيب + +162 +00:13:16,210 --> 00:13:19,970 +هنا؟ بقوله خلّه small r هذي إيش يسوي؟ capital R + +163 +00:13:19,970 --> 00:13:23,930 +بصير وصلت السطح ولا ماصلتش؟ بصير وصلت السطح تتعامل + +164 +00:13:23,930 --> 00:13:29,130 +معها على هذا الشيء إذا نجلبه two pointed charges + +165 +00:13:29,130 --> 00:13:36,890 +two pointed charges تمام؟ أقلبك المرة يا عشان؟بدي + +166 +00:13:36,890 --> 00:13:43,290 +R script 1 و R script 2 زي اللي مرة هيديك R او الـ + +167 +00:13:43,290 --> 00:13:50,890 +R أسفريكال صح؟ + +168 +00:13:50,890 --> 00:14:01,290 +طيب R واحد شرطة بتساوي الواحد الحمراء بتبعد + +169 +00:14:01,290 --> 00:14:07,610 +مسافة إيه دلوقتي عن Z axis؟EQ أو EZ hat مضبوط طيب + +170 +00:14:07,610 --> 00:14:16,870 +R2 شرطة BZ hat خلاص خلصنا + +171 +00:14:16,870 --> 00:14:24,070 +سهل العملية فصار R script one بتساوي R ناقص R واحد + +172 +00:14:24,070 --> 00:14:30,870 +شرطة فصرت R R hat ناقص A باتجاه ال Z hat صح؟قلت إن + +173 +00:14:30,870 --> 00:14:35,530 +هذه لا يمكنني التعامل معها لأ تتحول إلى كارتيزيا + +174 +00:14:35,530 --> 00:14:38,470 +لأ تتحول إلى Syndical لأن هذه ليست موجودة في + +175 +00:14:38,470 --> 00:14:40,670 +كارتيزيا وليست في Syndical وانت عوضنا لتحولها إلى + +176 +00:14:40,670 --> 00:14:45,670 +كارتيزيا فهذه ساعة بتساوي R الـ R هات عبارة عن cos + +177 +00:14:45,670 --> 00:14:51,130 +.. دعنا نقول sin ثيتا أول أحسن sin ثيتا cos ف + +178 +00:14:51,130 --> 00:15:01,470 +باتجاه I ذات R sin ثيتا sin ف باتجاه Jزائد R cos θ + +179 +00:15:01,470 --> 00:15:07,250 +باتجاه الـ J و هنا في عندك A فصرت R cos θ نقص A + +180 +00:15:07,250 --> 00:15:16,210 +باتجاه ال K مظبوط التانية R script 2 نفسها R sin θ + +181 +00:15:16,210 --> 00:15:25,990 +cos ف I زاد R sin θ sin ف J زائد R cos θ نقص B + +182 +00:15:25,990 --> 00:15:31,780 +باتجاه ال Kعشان نعمل .. هجيب ال magnitude تبعت + +183 +00:15:31,780 --> 00:15:33,880 +هادي و ال magnitude تبعت هادي لإن هنا في magnitude + +184 +00:15:33,880 --> 00:15:37,120 +magnitude .. Scalar لما أجيب ال magnitude .. + +185 +00:15:37,120 --> 00:15:40,780 +تلعبوا هادي .. ربعولي هادي .. R تربيع Sine تربيع + +186 +00:15:40,780 --> 00:15:44,920 +Cos تربيع .. R تربيع Sine تربيع Sine تربيع .. ال + +187 +00:15:44,920 --> 00:15:47,360 +Sine تربيع و ال Sine تربيع مع ال R تربيع .. طلعوهم + +188 +00:15:47,360 --> 00:15:50,020 +برا .. بصير عندك كوسين تربيع زي ال Sine تربيع واحد + +189 +00:15:50,020 --> 00:15:54,360 +.. إذا من الاتنين هدول بيجيني R تربيع Sine تربيع + +190 +00:15:54,360 --> 00:16:00,670 +ال thetaبدي أبح هادي هادي تربيحة R تربيع Cos تربيع + +191 +00:16:00,670 --> 00:16:05,870 +الثيتا زائد A تربيع ناقص اتنين R A Cos تربيع + +192 +00:16:05,870 --> 00:16:13,330 +الثيتا صح ولا لأ هلجيت هادي مع هادي R تربيع فبصير + +193 +00:16:13,330 --> 00:16:18,070 +كلها ال R one script تسوي R تربيع زائد A تربيع + +194 +00:16:18,070 --> 00:16:22,550 +ناقص اتنين R A Cos تربيع الثيتا وال R script اتنين + +195 +00:16:22,550 --> 00:16:27,760 +يعطيكوا العافيةR تربيع زاد B تربيع نخس اتنين RB + +196 +00:16:27,760 --> 00:16:34,040 +cos فى فلمّا جبتها أنا زى ما انتوا تاوعى حاكينا مع + +197 +00:16:34,040 --> 00:16:40,540 +بعض فهي R script one وهي R script two خلاص عوض هنا + +198 +00:16:40,540 --> 00:16:46,420 +تقولى هاي الجهودخلصت الجهود، بس إيش في عندك مشكلة؟ + +199 +00:16:46,420 --> 00:16:52,340 +بيقوللي، انت حاططها، بدك تجيبليها، بدك تجيبليها + +200 +00:16:52,340 --> 00:16:57,420 +بدلالة الأصل، انت عندك السؤال في Q وفي عندك سطح، + +201 +00:16:57,420 --> 00:17:00,640 +الـQ شرطها دي صورة خيالية انت عطيتها، افطرتها، بدك + +202 +00:17:00,640 --> 00:17:05,050 +تجيب دلالتها بدلالة الـQ الأصليةوالـ CP برضه انت + +203 +00:17:05,050 --> 00:17:08,610 +افترضتها .. فح؟ .. اذا انا لسه بدي اكمل .. بدي EQ + +204 +00:17:08,610 --> 00:17:12,530 +شرطة و بدي P .. تمام؟ .. انا ماضلش اعمل ايه لهذه + +205 +00:17:12,530 --> 00:17:16,020 +الشغل اللي بدي ألعب فيه انا وياكماحكي يا نور احنا + +206 +00:17:16,020 --> 00:17:21,160 +بالسؤال قبلين حطينا ال image اعتبر ان ال B تسوى + +207 +00:17:21,160 --> 00:17:25,140 +Zero مظبوط طب هنا انا مش عارفة انه .. لأ مارها جيت + +208 +00:17:25,140 --> 00:17:27,820 +ماني بدي احطها Zero المره هذيك انا كانت سهلة + +209 +00:17:27,820 --> 00:17:31,660 +الأعمالية خمنت من البداية يوم شيء و خمنت من أول هو + +210 +00:17:31,660 --> 00:17:35,240 +الأصل ان احط ال Q شرطة و احط B صح ولا؟ وحط وقول + +211 +00:17:35,240 --> 00:17:38,720 +لما عشان تكون Zero لازم Q شرطة تسوى سنة بQ و لازم + +212 +00:17:38,720 --> 00:17:43,300 +B تسوى D أما هنا الأعمالية أصعب شوية فجالي اخليها + +213 +00:17:46,670 --> 00:17:51,190 +أنا بس لازم أكون جوا فجيت بقعدها و مقدارها بعرفش + +214 +00:17:51,190 --> 00:17:57,370 +فحطتها أي رمز هناك كان سهل أخمل فمن أول حطيتها هنا + +215 +00:17:57,370 --> 00:18:01,870 +و جفت هالجد أنا إيش بقول عندك جديش جهد على السطحهل + +216 +00:18:01,870 --> 00:18:04,610 +جيت بدي أخلّيها Zero عشان أطلّي عدو الثوابط اللي + +217 +00:18:04,610 --> 00:18:08,110 +أنا ماقدرتش أخمنه بتخمين؟ إذا هناك خمنتم بسهولة، + +218 +00:18:08,110 --> 00:18:11,190 +هل جيت بدي أشتغل بالجلم والورقة والمعطويات + +219 +00:18:11,190 --> 00:18:15,590 +الرياضية تبعتي؟ طيب، عشان هذه تسير على السطح، إيش + +220 +00:18:15,590 --> 00:18:21,070 +بدي أحط محل Small R يا نور؟ بس، و في داخل أسويها ب + +221 +00:18:21,070 --> 00:18:25,250 +Zero، لو هذه حطت Capital R، وهذه Capital R، وهذه + +222 +00:18:25,250 --> 00:18:29,650 +Capital R، وهذه Capital R، قطعًا بحط إيش؟ساعتها + +223 +00:18:29,650 --> 00:18:34,450 +بحط Zero مظبوط ولا لأ؟ لما أحط Zero بيصير هذا ال + +224 +00:18:34,450 --> 00:18:38,030 +term بيساوي سالب هذا ال term صحيح ولا لأ؟ فقال لي + +225 +00:18:38,030 --> 00:18:40,330 +ال boundary condition اللي بدي أشتغل عليه اللي هو + +226 +00:18:40,330 --> 00:18:43,070 +ال Zero بيقول أن أنت عندك at small r بيساوي كمية + +227 +00:18:43,070 --> 00:18:45,810 +ال Earth صرت على السطح إذاً دي بيساوي Zero إذا + +228 +00:18:45,810 --> 00:18:48,670 +السؤال هيك طبعا الواحد بيقول كيف عملت هيك؟ و ليش + +229 +00:18:48,670 --> 00:18:51,110 +عملت هيك؟ الواحد بيقولك طب بتطلع انتوا إيش اللي + +230 +00:18:51,110 --> 00:18:57,790 +بدي أسويه أنا بعد ما عملنا هذا أنا عندي أكم مجهول + +231 +00:18:57,790 --> 00:19:03,220 +يهودةأكن مجهول جاي بتطلع حقوق الـQ شرطه بيه أكن + +232 +00:19:03,220 --> 00:19:08,180 +معادلة عندي فين هم؟ مافيش عندي لا واحدة و أنا + +233 +00:19:08,180 --> 00:19:10,680 +اتعلمت طول عمري عشان مجهولين أكن معادلة بالزمن + +234 +00:19:10,680 --> 00:19:14,260 +معادلتين بقول طيب انت مرات في من لما يكون عندك + +235 +00:19:14,260 --> 00:19:17,220 +معادلة علمونا في رياضيات ان ممكن نتحايل على + +236 +00:19:17,220 --> 00:19:21,560 +المعادلة و نطلع المجهولين من نفس المعادلة هذا + +237 +00:19:21,560 --> 00:19:25,870 +التكنيك ماحد يسألني كيف هذا تحوير تجريبفهمتوا + +238 +00:19:25,870 --> 00:19:32,250 +عليا؟ واحد بده يقعد يجرب قال بده يطلع من هنا R يا + +239 +00:19:32,250 --> 00:19:43,150 +بنات إيش هذي بصير؟ هذي بصير واحد و هذي و هذي بده + +240 +00:19:43,150 --> 00:19:46,730 +يطلع من هنا Bأحد يقول، طب ليش ما طلعتش R؟ هو وانت + +241 +00:19:46,730 --> 00:19:49,430 +على خاطرك؟ إنت خادر من حد يقول على خاطرك وانت على + +242 +00:19:49,430 --> 00:19:51,690 +خاطرك، يجربوا، مش هتجربوا الامتحانات اللي معاكم + +243 +00:19:51,690 --> 00:19:54,170 +إلا أنت قاعد تجلبوا، وهي التجريب، وما تخافوش من + +244 +00:19:54,170 --> 00:19:56,290 +التجريب، يعني هذه نهاية مش مهم أن الواحد يقولها ك + +245 +00:19:56,290 --> 00:19:58,630 +.. ماتيسألوش حالكم كأبو أحمد وانت جاري في + +246 +00:19:58,630 --> 00:20:02,950 +الامتحانة، مش هتجربوا في الامتحانةاحنا بس مجرد في + +247 +00:20:02,950 --> 00:20:06,710 +هذه الشغلات بنقتنع إنه بيعمل صح ولا لأ، لكن كم دي + +248 +00:20:06,710 --> 00:20:09,770 +جعباننا في الامتحان ينسوها هذه، احنا مخلصنا عنه + +249 +00:20:09,770 --> 00:20:13,470 +بيخليه يجعبالكم، احنا مين بيقولكم كي نعمل، هدف + +250 +00:20:13,470 --> 00:20:17,250 +النهارة، الواحد بعد ما يكون جداله أسبوع ولا يومين + +251 +00:20:17,250 --> 00:20:20,130 +ولا كده، هو بيحاول، في الآخر بيحطها هنا، في الناس + +252 +00:20:20,600 --> 00:20:24,020 +بواكوا كل الناس بيحاولوا زيه؟ صحيح فبروح نحط hint + +253 +00:20:24,020 --> 00:20:29,300 +عشان يسهل ان انت عندك معادلة رياضية و فيها مجهولين + +254 +00:20:29,300 --> 00:20:33,660 +و بدك تتعامل مع تكنيك رياضي تمام لما طلع ال P هذي + +255 +00:20:33,660 --> 00:20:39,660 +ايش بتصير؟ و هذي و هذي على P و تصير هيك صح ولا لأ؟ + +256 +00:20:39,660 --> 00:20:44,380 +طبعا هذي بيصير Q شرطة على P و هذي بيصير Q على R + +257 +00:20:44,380 --> 00:20:52,260 +مظبوط هيك؟ تمام فقال لي هيك صارت المعادلةفي شرط + +258 +00:20:52,260 --> 00:20:54,200 +سالب، أنا مش عارف إن مش مبينة، بس هي المفروض تكون + +259 +00:20:54,200 --> 00:20:58,840 +مبينة يعني هي المفروض تكون مبينة، ماعرفش .. هل إجت + +260 +00:20:58,840 --> 00:21:02,620 +مع السالب مع .. مش عارف ورا أخر التلعب إيش صعد؟ هو + +261 +00:21:02,620 --> 00:21:05,700 +إيش بيقولك؟ بيقولك أه أنا هيكت، هيكت على المعادلة + +262 +00:21:05,700 --> 00:21:10,960 +بقدر تقول هذا كسر بيسوي كسر، بقدر أقول قطعًا لازم + +263 +00:21:10,960 --> 00:21:14,920 +ال bus يسوي ال bus و المقام يسوي المقام؟ مش شرط، + +264 +00:21:14,920 --> 00:21:20,970 +لكن لو كان .. لو هدول موجودينبكونوا صحيحين ولا لأ؟ + +265 +00:21:20,970 --> 00:21:25,750 +يعني بمعنى اخر لو اتي واحد جالك X على 3 بيساوي + +266 +00:21:25,750 --> 00:21:33,350 +خمسة على تلاتة وانت مغضباش بتقول عن X خمسة، مظبوط + +267 +00:21:33,350 --> 00:21:36,070 +ولا لأ؟ لأنه مازال مقامين بتساوي، لذا لازم البصين + +268 +00:21:36,070 --> 00:21:38,890 +يتساوي فتقوللي هل جيت انا بدي اعمل اللي وياك + +269 +00:21:38,890 --> 00:21:41,070 +التاني؟ بتحكم ان ال bus بيساوي bus و مقامي بيساوي + +270 +00:21:41,070 --> 00:21:44,190 +مقامي لما اقول bus بيساوي bus و مقامي بيساوي مقامي + +271 +00:21:44,190 --> 00:21:47,830 +ممكن اعملتهم عجلتين صح ولا لأ؟و المعضلة اللي كانت + +272 +00:21:47,830 --> 00:21:52,810 +عندك روحها فمن هنا على طول قلت آه Q على R بيساوي + +273 +00:21:52,810 --> 00:22:01,230 +سلب Q شرطة على B من هنا خلّيني أقول Q شرطة بيساوي + +274 +00:22:01,230 --> 00:22:09,310 +Q في B على R بالمائنس برافو ماخلصش أنه B مجهولة + +275 +00:22:09,310 --> 00:22:13,570 +قالت طب شوف المقام يساوي المقام قلت لهم المقام + +276 +00:22:13,570 --> 00:22:21,000 +يساوي المقامone one هذي a على r وهذه r على b تمام؟ + +277 +00:22:21,000 --> 00:22:26,240 +وهذه نفس العملية a على r وr على b فصار في تشابه هو + +278 +00:22:26,240 --> 00:22:31,900 +كأن a على r هي نفسها تساوي r على b من هنا طلعت بي + +279 +00:22:31,900 --> 00:22:36,740 +بي الآن صارت معلومة ولا مش معلومة؟ معلومة لأنه + +280 +00:22:36,740 --> 00:22:42,470 +بصيغة معتياتيكابيتل R نص كتر الكرا و P و A بعد + +281 +00:22:42,470 --> 00:22:48,810 +النقطة الأصلية طيب هذه P إذا ال Q شرطة بيسوي ناقص + +282 +00:22:48,810 --> 00:22:53,770 +Q على كابيتل R و بدي ال P يحطلي R تربيع على A هذه + +283 +00:22:53,770 --> 00:22:59,630 +بتروح مع هذه إذا ناقص Q كابيتل R على A إذا هذه Q + +284 +00:22:59,630 --> 00:23:04,750 +شرطة بيسوي سلب Q بيسوي سلب Q في كابيتل R على A إذا + +285 +00:23:04,750 --> 00:23:09,600 +طلعت النتيجة و خلصت السؤالأذن الحل الأولاني اللي + +286 +00:23:09,600 --> 00:23:14,020 +حطيته في الشريحة اللي جاب الها ده الأن أصبح كامل + +287 +00:23:14,020 --> 00:23:21,000 +لإن المجاهيل تبعتي اعملتها طيب .. الأن خلص السؤال + +288 +00:23:21,000 --> 00:23:25,300 +لو أنا جيت بدي أقول عادة ما أجيبش أمثلة، بدي أجيب + +289 +00:23:25,300 --> 00:23:29,280 +هالمثال في امتحان يعني إيش بدي بقعد كده؟ أنا محل + +290 +00:23:29,280 --> 00:23:34,260 +تهوشي، بدي Sigma و بدي Q، دي درجبه + +291 +00:23:37,620 --> 00:23:40,580 +من أين بدأ دي بالـ Sigma؟ صح يا ضايلة؟ طب حكيك + +292 +00:23:40,580 --> 00:23:44,220 +نيحا، معناته ما .. ماحكيش ال .. ال data الجديدة من + +293 +00:23:44,220 --> 00:23:49,540 +الامتحان، تمام؟ بقول partial V out على partial إيش + +294 +00:23:49,540 --> 00:23:54,680 +ال N هنا في الاسفير؟ ال .. ال R اللي هو ال normal + +295 +00:23:55,790 --> 00:24:01,130 +الـ Normal ما سيكون؟ الـ R-Component إذا على R نقص + +296 +00:24:01,130 --> 00:24:06,210 +partial V in على partial R وهذا Zero يعني A الـ R + +297 +00:24:06,210 --> 00:24:11,470 +بتساوي capital R على السطح بتساوي سالب Sigma على + +298 +00:24:11,470 --> 00:24:15,670 +أبسل نوت بشتغل، + +299 +00:24:15,670 --> 00:24:19,290 +عادي، مافيش أسهل من الاشتغال و بشتغل عليها و بعدين + +300 +00:24:19,290 --> 00:24:26,670 +بهذه Sigma بدي Qبدي Q بقول Q بسوء تكامل سجما دي + +301 +00:24:26,670 --> 00:24:31,550 +ايه؟ مين يجيبلي دي ايه؟ spherical coordinates + +302 +00:24:31,550 --> 00:24:38,170 +عالسطح تبع الكورة؟ شو ثابت؟ خلصنا، اذا ما زال ال R + +303 +00:24:38,170 --> 00:24:44,450 +ثابت، اذا R ترديع sin θ Dθ Dφ و sin θ او Dθ من صفر + +304 +00:24:44,450 --> 00:24:47,570 +إلى باي و في من صفر إلى اتنين باي و بتجيبوا ال Q + +305 +00:24:47,570 --> 00:24:49,810 +تمام؟ اللي انا ماعملتش هنا + +306 +00:25:03,240 --> 00:25:07,780 +الاخيرة في هذا الـ chapter هو الـ Multiple + +307 +00:25:07,780 --> 00:25:13,200 +Expansion طبعا أسمعنا في الـ die ball أسمعتوا في + +308 +00:25:13,200 --> 00:25:18,400 +ال die ball؟ die ball أو الثنقط بالكهربائي أسمعتوا + +309 +00:25:18,400 --> 00:25:22,160 +فيه؟ باللغة العربية؟ أسمعنا فيه الثنقط بالكهربائي + +310 +00:25:22,160 --> 00:25:26,160 +أخدناها في فيزيا بقى وصمته die ball وقلتلكم أيام + +311 +00:25:26,160 --> 00:25:29,140 +فيزيا بقى كنت أقول لهم انسوا الاسم انسوا الاسم + +312 +00:25:29,140 --> 00:25:32,640 +لأنهم ماتشغلوش في الاسم لكن قلنا ال die ball ككلمة + +313 +00:25:33,010 --> 00:25:35,770 +وزي ما حكينا مرات كلمة بتيجي هيك عشان لما ت .. + +314 +00:25:35,770 --> 00:25:39,150 +تنعاد يقول بس مجرد والله وينا سمعنا فيها هذه .. + +315 +00:25:39,150 --> 00:25:43,670 +سمعنا فيها شو وضعي بولي بلد؟هم في النهاية احنا + +316 +00:25:43,670 --> 00:25:47,350 +بنتعامل .. احنا قاعدين في ال bachelor's و .. و .. + +317 +00:25:47,350 --> 00:25:48,990 +و غالبا في ال bachelor's و حتى في بداية + +318 +00:25:48,990 --> 00:25:52,810 +الماجستيرات بتعاملوا مع شغلات نظرية هذه الشغلات + +319 +00:25:52,810 --> 00:25:58,330 +النظرية هي شغلة محاكالة الأمور الواقعية هي محاكاة + +320 +00:25:58,330 --> 00:26:02,250 +كيف يعني؟ هو بيقولك انت لما تيجي تقولي بدي جهود و + +321 +00:26:02,250 --> 00:26:04,790 +شحن هنا و شحن هنا انت بتشوف الطبيعة شحن جاعة هنا و + +322 +00:26:04,790 --> 00:26:07,750 +شحن جاعة هنا انا كنت ماشي هنا كده اندجبتوا بشحن + +323 +00:26:07,750 --> 00:26:13,000 +قدامكم؟ لأمظبوط او لا؟ اذا هذه شغلات نظرية لكن في + +324 +00:26:13,000 --> 00:26:15,900 +الآخر بتقولوا هذه شحنات ما هي الشيعة في الآخر + +325 +00:26:15,900 --> 00:26:19,720 +علمتنا انها electron و proton مظبوط او لا؟ طيب نجي + +326 +00:26:19,720 --> 00:26:23,740 +للمبدأ الطبيعي انا كل شغلي هذا عشان بقرأ ان هذه + +327 +00:26:23,740 --> 00:26:27,640 +المادة اي مادة في ايدي اعرف ايه خواصة الفيزيائية + +328 +00:26:27,640 --> 00:26:30,840 +ايه شأن خواصة الفيزيائية؟ المجال المعناطيسي جوا + +329 +00:26:30,840 --> 00:26:34,240 +كيف؟ المجال الكهربائي جوا كيف؟ فهمتوا عليه كيف؟ + +330 +00:26:34,240 --> 00:26:38,090 +تمام بقول هي اي مادة الشيعةما هي عبارة عن إما + +331 +00:26:38,090 --> 00:26:43,490 +ذرات، صح؟ والذرة من إيش بتتكون يا بنات؟ من شحنات + +332 +00:26:43,490 --> 00:26:48,090 +موجبة وين محطوطة؟ في النواة، وشحنات سالبة بتدور + +333 +00:26:48,090 --> 00:26:52,170 +حواليها، صح ولا لا؟ وعادة لما أكون أنا عندي الجسم + +334 +00:26:52,170 --> 00:26:54,330 +متعادل، معناته الشحنات الموجبة تصبح الشحنات + +335 +00:26:54,330 --> 00:26:59,550 +السالبة، مظبوط ولا لا؟ طيب، هذه المادة، أكم ذرة + +336 +00:26:59,550 --> 00:27:04,350 +فيها؟هي كبشة زي ما جالوها الشباب، كبشة، مظبوط ولا + +337 +00:27:04,350 --> 00:27:09,770 +لا؟ هي مناين دي جوا تمام بقدر أقول هذه المادة + +338 +00:27:09,770 --> 00:27:15,970 +عبارة عن أزواج من مو جاب سالب، مو جاب سالب، مو جاب + +339 +00:27:15,970 --> 00:27:20,490 +سالب ولا لا؟ اه لأن كل واحدة منهم عبارة عن زوج + +340 +00:27:20,490 --> 00:27:25,530 +لحاله، هذا الزوج بس بدي زوج واحد، أجيب جهده، بس + +341 +00:27:25,530 --> 00:27:29,750 +زوج واحد، و بعدين أقول هدول كبشتدايبولات زي ما + +342 +00:27:29,750 --> 00:27:36,050 +نسميها تمام اذا دعنا نتخيل الهواء رغم واحد دايبول + +343 +00:27:36,050 --> 00:27:41,150 +طبعا مالتي بول كبشة من الدايبولات مالتي بول متعدد + +344 +00:27:41,150 --> 00:27:45,310 +دايبول عندنا بنشوف شوه دايبول at a point far away + +345 +00:27:45,310 --> 00:27:52,110 +from itالدايبول الذي أخدناه في ذياباه والعيدو لأنه + +346 +00:27:52,110 --> 00:27:56,630 +مصمم من اكتشافين اكتشافين اكتشافين اكتشافين + +347 +00:27:56,630 --> 00:27:58,590 +اكتشافين اكتشافين اكتشافين اكتشافين اكتشافين + +348 +00:27:58,590 --> 00:28:05,300 +اكتشافين اكتشافين اكتشافين اكتشافينأو جد للجهود + +349 +00:28:05,300 --> 00:28:10,440 +and النقطة R هذا كان سؤال في كتاب فيزيا باه سؤال و + +350 +00:28:10,440 --> 00:28:14,420 +كنا لما يجي الطلاب يصعبونهم و هم يسخفتوا منهم مش + +351 +00:28:14,420 --> 00:28:18,900 +شغلكم هالجيل تمام؟ احنا طبعا جيبنا مثال كان ال + +352 +00:28:18,900 --> 00:28:23,120 +point هنا كان سهل لو كنا نتشطر عليهم مثال و نحلوا + +353 +00:28:23,120 --> 00:28:25,960 +إيه لهمراح في السؤال يجيبنا سؤال زي هيك ويقول هم + +354 +00:28:25,960 --> 00:28:29,540 +اشتغلوا وطبعا طلب السنقولة و لسه هجيهن فأكيد + +355 +00:28:29,540 --> 00:28:33,580 +بتصحبوا منه و احنا كنا بنددهم و بندداه احنا ندقوا + +356 +00:28:33,580 --> 00:28:36,600 +بالأمثلة زيها بنجيب و بيجيبوش علامات نجيبلهم سؤال + +357 +00:28:36,600 --> 00:28:40,700 +زيها ده و بيجيبوش و بيقولهم نسوه، تمام؟ يعني إذا + +358 +00:28:40,700 --> 00:28:45,280 +في واحد حابب يشمر و يقعد و يحل بحله في النهاية + +359 +00:28:45,280 --> 00:28:48,930 +يعني مش مستحيل لكن برضه ماكناش نطلبه منهمأما الآن + +360 +00:28:48,930 --> 00:28:54,750 +كبرنا وصلنا ناخدين Calculus B و Calculus C و + +361 +00:28:54,750 --> 00:28:58,710 +Mathematical Physics I و Mathematical Physics II و + +362 +00:28:58,710 --> 00:29:04,850 +Mathematical Mechanics تمام بدنا نشتغل هو شغل سهل + +363 +00:29:04,850 --> 00:29:08,290 +جدا يعني العملية بس فيها تكنيك رياضي بنتعامل معاه + +364 +00:29:08,290 --> 00:29:11,370 +نرجع و نقول الرياضيات دايما بتنطلنا الرياضيات + +365 +00:29:11,370 --> 00:29:15,760 +دايما بتنطلنا و هي ال tools سبعتنا كفيزيائيينهذا + +366 +00:29:15,760 --> 00:29:18,640 +ليس سؤال، اذا كنت تبحث عن الـG في الـtwo-pointed + +367 +00:29:18,640 --> 00:29:21,760 +charges، فهو صح ولا لا؟ الـtwo-pointed charges صعب + +368 +00:29:21,760 --> 00:29:27,200 +علينا؟ لأنه لا يوجد أسهل منه، فالـV هو K Q1 على R + +369 +00:29:27,200 --> 00:29:32,230 +سكبت واحد زي قدر Q2 على R سكبت اتنين، فقطتمام؟ و + +370 +00:29:32,230 --> 00:29:35,090 +روسيا هتجيب بصمتهم كيف نجيب على script واحد و لا + +371 +00:29:35,090 --> 00:29:37,550 +على script اتنين ولا لأ؟ سهل صراحة العمل، اذا + +372 +00:29:37,550 --> 00:29:41,810 +العملية سهلة عشان كده القضية سهلة جدا، طب يلا + +373 +00:29:41,810 --> 00:29:46,890 +نجيب، واحدة واحدة، هاذي؟ غريب هذا السؤال؟ فيش سؤال + +374 +00:29:46,890 --> 00:29:50,350 +منه؟ point of charges؟ يلا نجيب، طبعا بدل واحد و + +375 +00:29:50,350 --> 00:29:52,430 +اتنين حاطت ال plus و ال negative، يعني الموجب + +376 +00:29:52,430 --> 00:29:56,700 +والسالمالموجب طبعاً الـR السيفيكال كواردينيات زي + +377 +00:29:56,700 --> 00:29:59,200 +ما حاكت راشا R R hat أنا بدي أجيبها عن نقطة + +378 +00:29:59,200 --> 00:30:05,180 +عشوائية فR R hat هي بعض النقطة P R من الـZ Axis + +379 +00:30:05,180 --> 00:30:07,620 +حلو تلبقى كوم حاجة فيتا هي تحت السيفيكال + +380 +00:30:07,620 --> 00:30:11,760 +كواردينيات صح ولا لأ تحت السيفيكال كواردينيات طيب + +381 +00:30:11,760 --> 00:30:19,810 +الحمرة إحداثي تبعها D ع 2 باتجاه الـKوالزرجة ناقص + +382 +00:30:19,810 --> 00:30:24,410 +D على 2 باتجاه ال K صح ولا لأ؟ إذا هذا و هذا + +383 +00:30:24,410 --> 00:30:29,970 +الشطرين اللي عملتهم عشر مرات صلت بقدر أعملهم RR + +384 +00:30:29,970 --> 00:30:33,730 +hat ناقص ال A دي على 2 عادي بحوولها D على 2 بس + +385 +00:30:33,730 --> 00:30:38,780 +عشان ديش ضل أحط دي على 2الـ K والـ R تحولتها لـ + +386 +00:30:38,780 --> 00:30:43,580 +Cartesian Coordinates والتانية نفس العملية السالبة + +387 +00:30:43,580 --> 00:30:48,340 +اللي بتفرق هذه صارت ناقص ناقص فرصات زائد وعملتها + +388 +00:30:48,340 --> 00:30:56,070 +لما بدي جيب ال magnitudeهذا و هذا يعطيني Sine + +389 +00:30:56,070 --> 00:31:00,370 +تربيع الثيتا مع هذه ربحك و Sine تربيع الثيتا بتجي + +390 +00:31:00,370 --> 00:31:07,170 +عندى R تربيع زاد A تربيع ال A هي دي ع 2 زاد 2 A في + +391 +00:31:07,170 --> 00:31:11,850 +R و ال A دي ع 2 اتنين و اتنين بروحوا بصير هذه طبعا + +392 +00:31:11,850 --> 00:31:15,210 +ايش بيفرق ال negative و ال positive هنا فهذه + +393 +00:31:15,210 --> 00:31:20,250 +negative او positive تمام الان + +394 +00:31:21,340 --> 00:31:27,620 +هذه هي السرعة خلصت هذه النتيجة او بوضت محل هادي و + +395 +00:31:27,620 --> 00:31:33,500 +محل هادي تمام الان هذه نتيجة طبيعية مافيش فيها + +396 +00:31:33,500 --> 00:31:38,540 +مشكلة قالوا طيب انت انت بترجع ليه و بتمهد للطبيعة + +397 +00:31:38,540 --> 00:31:44,340 +ايش بده تكون طيب ايش المسافة بين الالكترون و + +398 +00:31:44,340 --> 00:31:49,360 +البروتون في ذرة الهيدروجينيا نسمع ايش بتساوياذكر + +399 +00:31:49,360 --> 00:31:53,960 +اذا كنت بتعرفيها المسافة أو bore radius ايش بيسوي + +400 +00:31:56,690 --> 00:32:06,490 +نُص أنجسترون أو 0.53 تحديدًا نُص أنجسترون يعني + +401 +00:32:06,490 --> 00:32:09,650 +بتنجس بالأنجسترون صح ولا لا؟ الانجسترون كبير ولا + +402 +00:32:09,650 --> 00:32:14,950 +صغير؟ صغير طيب أنا بدي أجيب المجال عند نقطة هذه + +403 +00:32:14,950 --> 00:32:18,930 +النقطة حتى لو بتجيسها بالملي متر الملي متر بالنسبة + +404 +00:32:18,930 --> 00:32:24,030 +للأنجسترون كبير كتير فبقدر أقول دائمًا طبيعيًا أن + +405 +00:32:24,030 --> 00:32:30,930 +الـR أكبر كتير من الـDالـD تحت الانجسترون، الـD هي + +406 +00:32:30,930 --> 00:32:34,130 +المسافة بين الإلكترون والبروتون أو المولوكيولوز + +407 +00:32:34,130 --> 00:32:39,710 +فدائما في الطبيعة بيقولك R أكبر كلمة من D، R أكبر + +408 +00:32:39,710 --> 00:32:41,990 +كلمة من D، ليه؟ لأنه لما شافوا هذه النتيجة قالوا + +409 +00:32:41,990 --> 00:32:44,250 +لو دي مابشحها، مين اللي يحفظها؟ ومين اللي يقول + +410 +00:32:44,250 --> 00:32:47,210 +لمين يحفظها؟ صح ولا لأ؟ قالوا بيجينا نلطفها وانت + +411 +00:32:47,210 --> 00:32:51,030 +قاعد ترجع شوي شوي للطبيعةلما جالوا هادي واحدة + +412 +00:32:51,030 --> 00:32:55,070 +كبيرة و واحدة صغيرة يقولوا اه احنا تعالوا سنة أولى + +413 +00:32:55,070 --> 00:32:58,570 +علمناهم ب Calculus B عشان ما تشترطوش من الرياضيات + +414 +00:32:58,570 --> 00:33:03,510 +Calculus B الـ Binomial theorem كيف انا اعمل فك + +415 +00:33:03,510 --> 00:33:08,530 +لأي Binomial أخدتوه أبو جيوه كنت اتذكر يقولت + +416 +00:33:08,530 --> 00:33:15,470 +اخدتوه تمام في النهاية زي ما حكينا عادة بنجيبsince + +417 +00:33:15,470 --> 00:33:22,170 +R much greater than D وهذا أمور طبيعية دائما تمام + +418 +00:33:22,170 --> 00:33:26,270 +إيش أكملت؟ قال لي رط فيلم المعادلة طلع واحدة على R + +419 +00:33:26,270 --> 00:33:29,350 +وصارت المعادلة هيك قال لي أنت بتقول هذه كبيرة وهذه + +420 +00:33:29,350 --> 00:33:32,670 +صغيرة صح؟ هذه بيك تتربح على الصغير لما تتربح على + +421 +00:33:32,670 --> 00:33:37,830 +بكبر ولا بصغير؟بظهر، صح؟ لأنه نص الشتربيعون رجعوا + +422 +00:33:37,830 --> 00:33:42,190 +وهذه الكبيرة، الخمسة هي الشتربيحة تكبر، إذن هذه + +423 +00:33:42,190 --> 00:33:46,890 +لما اتربع بصير صغيرة كتير، طب يلغيه، لغيته، صار + +424 +00:33:46,890 --> 00:33:49,970 +هي، جال هذه الـ Binomial Theory بيقول، Recalling + +425 +00:33:49,970 --> 00:33:54,490 +the Binomial Expansion اللي أخدته في Calculus B + +426 +00:33:54,490 --> 00:33:58,270 +طبعا لو حد يقول، أحفظه؟ لأ، لأعطيك لأ، ليش تحفظه؟ + +427 +00:33:59,270 --> 00:34:02,470 +طبعا هالجيت انتوا انتوا قاعدين رجل ع رجل هتاخد + +428 +00:34:02,470 --> 00:34:05,270 +معاكم ال laptop حطه binomial theorem بيجيكم 100 + +429 +00:34:05,270 --> 00:34:08,990 +ألف صيغة صح ولا لأ بس اكتبوا binomial theorem تيجي + +430 +00:34:08,990 --> 00:34:12,410 +هادىاللي زمان احنا كنا نضطر نروح على كتب الـ + +431 +00:34:12,410 --> 00:34:15,490 +Mathematical Physics عشان نجيبها فجيت الكتب لو حد + +432 +00:34:15,490 --> 00:34:19,170 +بصارت الغبارة كلها لأنه ما شاء الله الشيخ جوجل + +433 +00:34:19,170 --> 00:34:25,010 +كفانة وزيادة انه خلاص ساعة طول بتخش تجيب كتابك و + +434 +00:34:25,010 --> 00:34:27,810 +لا حادة و أسهل بدنا نقعد نقول اه وين في أي شبطة + +435 +00:34:27,810 --> 00:34:30,030 +روحها دي موجودة في أي صفحة تقعد ساعة تدور في + +436 +00:34:30,030 --> 00:34:33,850 +الكتاب لأ دي بتحطها جوجل بتجيك لحاله تمام؟ فهذه + +437 +00:34:33,850 --> 00:34:39,020 +احنا بنعطيكم إيها بمعنى أخر هذه طبعا بتعطيكم فكأي + +438 +00:34:39,020 --> 00:34:42,900 +معادلة أس ثلاثة أس عشرة أس نص أس خمسة على اتنين + +439 +00:34:42,900 --> 00:34:45,180 +فانتوا عليها كيف؟ هذه in general أخدتوها في + +440 +00:34:45,180 --> 00:34:47,080 +Calculus باه صح أنا بقول أخدتوها في Calculus باه + +441 +00:34:47,080 --> 00:34:50,820 +ولا لأ؟ أخدتوها صح تمام طبعا أخدناها في + +442 +00:34:50,820 --> 00:34:54,940 +الmathematical physics one أكيد هذه أنا ذاكرها + +443 +00:34:54,940 --> 00:34:58,180 +تمام أما ال Calculus باه شوية بس أنا ذاكر أنها + +444 +00:34:58,180 --> 00:35:02,620 +انعملت يعني لأن أيام Taylor وLaurent و ال binomial + +445 +00:35:02,620 --> 00:35:06,580 +expansion هذه انعملت طيبأيش هذي؟ بيقولي واحد زي + +446 +00:35:06,580 --> 00:35:11,040 +الـ X أُس M طب أنا إيش عندي؟ هاي واحد والـ X هي D + +447 +00:35:11,040 --> 00:35:16,600 +على R كوصين الفيتا والـ M هي السلب نص ولا لأ؟ اعمل + +448 +00:35:16,600 --> 00:35:20,040 +Expansion طلعت هذه اعمل Expansion طبعا بيقولي انت + +449 +00:35:20,040 --> 00:35:23,380 +حاطط نجط ليش؟ بقول الكلمات التانية بدي أحملهالأن + +450 +00:35:23,380 --> 00:35:26,020 +هادي بيصير تربيع وبعدين كده تكعيب وبعدين كده بيصر + +451 +00:35:26,020 --> 00:35:30,280 +أربعة فهادي أصلا صغيرة ربيحها بتصغر أكتر وبالتالي + +452 +00:35:30,280 --> 00:35:34,980 +رتب المعادلة بدل ما أنت مغلب حالك وعندك ترمين كبار + +453 +00:35:34,980 --> 00:35:39,820 +زي هدول هتاخد بس ترم هدا و ترم هدا و بس ترمين يعني + +454 +00:35:39,820 --> 00:35:46,140 +منهم فصارت عند المعادلة هادي صارت بس هيك حاطها قال + +455 +00:35:46,140 --> 00:35:51,180 +لي هي صاري الجهود شوف الجهود صار مثله مثله أحلى + +456 +00:35:51,900 --> 00:35:56,020 +أحلى بعدما كانت two terms هذا هو الـ Q دي كصين + +457 +00:35:56,020 --> 00:36:01,340 +الثيتا على R تربية إيه جالو شيها دي Q دي؟ جالو Q + +458 +00:36:01,340 --> 00:36:04,860 +واحدة من الشحنتين مش هم الشحنتين كانوا الـ Q واحدة + +459 +00:36:04,860 --> 00:36:09,240 +من الشحنتين الشي هذه كانت المسافة بينهم، صح؟ الـ Q + +460 +00:36:09,240 --> 00:36:13,700 +في المسافة بينهم اتفهموا واتفجوا إنهم يعطوها مصطلح + +461 +00:36:14,600 --> 00:36:19,060 +جالو هذه بيسميها الـ Dipole Moment Electric Dipole + +462 +00:36:19,060 --> 00:36:24,500 +Moment العزم تبع الثناء قطبي طبعا كلمة عزم بيجي + +463 +00:36:24,500 --> 00:36:27,360 +للبالي انه بده دور بقولكم اه مو حد دور بعد كده + +464 +00:36:27,360 --> 00:36:37,540 +تمام؟ اذا هذا بدهم يسموه P Cos θ مشكلة تبع الـ + +465 +00:36:37,540 --> 00:36:40,640 +spherical coordinatesمشي تحت الـ Spherical + +466 +00:36:40,640 --> 00:36:43,620 +Coordinates والـ Spherical Coordinates الـ θيتا، + +467 +00:36:43,620 --> 00:36:48,320 +إيش تعريفها؟ هي الزاوية بين R والـ Z Axis طب هذه + +468 +00:36:48,320 --> 00:36:52,540 +الـ D ما هي على الـ Z Axis وهذه الـ R حط هناك ودي + +469 +00:36:52,540 --> 00:36:57,400 +من قصان الـ θيتا تطلع قصان الـ θيتا تمام؟ فصارت + +470 +00:37:00,330 --> 00:37:10,470 +V بتساوي K P dot ال R على R² الشيء ال P هي الشحنة + +471 +00:37:10,470 --> 00:37:13,970 +في المسافة اللي بينهم وهذا صار تعريف من الصلاح + +472 +00:37:13,970 --> 00:37:18,630 +مشهور ال electric dipole moment بيساوي الشحنة زي + +473 +00:37:18,630 --> 00:37:22,950 +ال magnetic dipole moment سمعتوا فيه ال magnetic + +474 +00:37:22,950 --> 00:37:26,910 +dipole moment برضه مر علينا اللي بيساوي I في ال + +475 +00:37:26,910 --> 00:37:33,260 +area بعد MGP بتساوي QD and directed you from the + +476 +00:37:33,260 --> 00:37:35,880 +negative to the positive charge عشان ع الـ Z-axis + +477 +00:37:35,880 --> 00:37:43,000 +حسب تعريفه تمام؟ إذا انصاري الآن عندي four أضايبول + +478 +00:37:43,000 --> 00:37:51,060 +four أضايبول بتساوي K P dot ال R hat على R تربية + +479 +00:37:51,060 --> 00:37:58,940 +وهذه معاجلة هتمر عليكم بتنطف + +480 +00:37:58,940 --> 00:38:03,970 +السريد بتنطف ال atomicبتنط في الـ nuclear بتلاقوها + +481 +00:38:03,970 --> 00:38:06,930 +مشهورة دايما بتنط و مرة لو حتقولها كده بيجيبوها + +482 +00:38:06,930 --> 00:38:10,150 +هادي تمام، بنطلطولا إياها ليه؟ إيش؟ لإن هو بيقول + +483 +00:38:10,150 --> 00:38:12,850 +for i-dipole بيقولك هيش جهود بيصير و حط الجهود هو + +484 +00:38:12,850 --> 00:38:15,810 +و كأنه بيقول اتنين في اتنين بيساوي أربعة لإنه خلاص + +485 +00:38:15,810 --> 00:38:19,790 +الكل عارفها جهود for a-dipole تمام، أحكي من أنت و + +486 +00:38:19,790 --> 00:38:26,650 +أنت أحكي، أه يا هدا هدا، + +487 +00:38:26,650 --> 00:38:30,950 +فقيلي هذاإيه دُبط الـ B عوريش بتساوي؟ إيه دُبط الـ + +488 +00:38:30,950 --> 00:38:40,870 +B؟ فُك كده؟ فُك كده جيه؟ إيش الأرهات المجنونة بتبع + +489 +00:38:40,870 --> 00:38:43,950 +حاجة؟ + +490 +00:38:43,950 --> 00:38:47,810 +فيه؟ + +491 +00:38:47,810 --> 00:38:56,790 +جعداد؟ هذا هيالفيتا هي الزاوية بين P وR الـR with + +492 +00:38:56,790 --> 00:39:00,750 +P بتجاه الـZ فهي فيتا تبعتي اللي في الرسمة صح ولا + +493 +00:39:00,750 --> 00:39:03,870 +لأ فهي اكتبها هيك او اكتب cosine فيتا كم ما بديك + +494 +00:39:03,870 --> 00:39:06,930 +تحفظهاش يا هدى لا بنسيك تحفظكي يعني انا بقولها + +495 +00:39:06,930 --> 00:39:11,890 +مشهورة كتير ودائما بتتكرر زي ما حكت وي أب لكن برضه + +496 +00:39:11,890 --> 00:39:14,110 +انا مش معنى انكم تحفظوها يعني اطلاقا + +497 +00:39:19,930 --> 00:39:24,030 +The potential of a dipole at R is inversely + +498 +00:39:24,030 --> 00:39:29,130 +proportional to R يعني بتعتمد على R تربيع مش مشكلة + +499 +00:39:29,130 --> 00:39:35,630 +طيب، الأن بدي أجيب المجال الكهربائي جهود خلصته كيك + +500 +00:39:35,630 --> 00:39:38,030 +بدي أجيب لما أكون عندي جهود و بدي أجيب المجال؟ + +501 +00:39:41,210 --> 00:39:46,250 +مظبوط ولا لا؟ سالب دل ال V طيب الدل أنا بتعامل مع + +502 +00:39:46,250 --> 00:39:49,170 +spherical coordinates بدك تشحتنيها ولا لأ مش + +503 +00:39:49,170 --> 00:39:53,870 +هتفاجر من شحتها؟ بقولك هدا هي سالب دل ال V partial + +504 +00:39:53,870 --> 00:39:56,890 +V على partial R R hat 1 على R partial V على + +505 +00:39:56,890 --> 00:40:00,430 +partial θ θ hat نخس 1 على R sin θ partial V على + +506 +00:40:00,430 --> 00:40:04,890 +partial Phi باتجاه ال Phi hat هدواك فوكس 26 تعتمد + +507 +00:40:04,890 --> 00:40:12,390 +V على ال Phiالجود باعتمد على فاي؟ ايش هي عمكم؟ + +508 +00:40:12,390 --> 00:40:15,870 +تمام + +509 +00:40:15,870 --> 00:40:19,270 +اذا + +510 +00:40:19,270 --> 00:40:24,550 +ها دي zero صحيح ولا لا؟ يالا نشتق ها دي بالنسبة ل + +511 +00:40:24,550 --> 00:40:31,790 +R يا عزيزي، اشتقيها، نشتقها بالنسبة ل R الـ + +512 +00:40:31,790 --> 00:40:36,130 +B .. اشتقي ها دي إذا بدك، ها دي بي كوسين الفيتا + +513 +00:40:37,850 --> 00:40:42,770 +ماذا يجب أن أشتغل؟ R تربيع R سالب اتنين بيصير سالب + +514 +00:40:42,770 --> 00:40:53,270 +اتنين P في Cos على .. صحيح؟ هنا ماذا أقول؟ R hat + +515 +00:40:53,270 --> 00:41:02,010 +وP سالب تمام ناقص واحد على R ماذا يجب أن أشتغل + +516 +00:41:02,010 --> 00:41:05,310 +بالنسبة للثيتا؟ ماذا يجب أن أشتغلك في Cos الثيتا؟ + +517 +00:41:06,210 --> 00:41:12,090 +سالب صين إذا سالب بصين + +518 +00:41:12,090 --> 00:41:18,390 +الثيتا على R تربيع اللي صارت في كل هذه R تقريبا + +519 +00:41:18,390 --> 00:41:24,390 +صحيح ولا لا؟ عملها فعملناها بهذا خد اللي بدك إياه + +520 +00:41:24,390 --> 00:41:27,750 +اتنين هنا طلع فطلعت اتنين cosine ثيتا باتجاه ال R + +521 +00:41:27,750 --> 00:41:34,820 +زائد صين ثيتا باتجاه الثيتاثم انا كنت متأمل يبدو + +522 +00:41:34,820 --> 00:41:38,880 +انه مش بيقدرش ان اخلص اليوم فضايل موضوع بسيط ان + +523 +00:41:38,880 --> 00:41:42,140 +شاء الله بنخلصه يوم الأربعة عشان نبدأ ب chapter + +524 +00:41:42,140 --> 00:41:45,520 +أربعة و مع نهاية chapter أربعة بنحدد امتحانا + +525 +00:41:45,520 --> 00:41:47,920 +second midterm exam ان شاء الله + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CzKZn6-HWRI_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CzKZn6-HWRI_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..cc7721f42f73f9c3315171ff4d953325ffe915f9 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/CzKZn6-HWRI_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3054, "start": 21.66, "end": 30.54, "text": "خلّينا نكمل اللي عملناه المرة الماضية ال method اللي بنحكي عنها هي method of images", 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أنا مش عارفها إيش علاقتها بالإيه؟ وQ شرطة هل هي بالساوية سالية بـQ زي أول ولا لا؟ قولنا هي ممكن مش لا، ليش؟ لأن قولنا هذه كانت مرايا مستوية، هذه الآن مرايا مش مستوية، واضحة، إذا أنا عندي مجهولين هل جيت؟ الـQ شرطة إيش بالساوية؟ وإيش علاقتها بالكلمة الأصلية؟ ماعرفش، بيها دي؟ كدش البعوض؟ برضه ماعرفش، إذا عندي أنا مجهولين بدياهم", "tokens": [3224, 1211, 10874, 36081, 29538, 4724, 1829, 22807, 41850, 37893, 6225, 9640, 5172, 11296, 11933, 1829, 8592, 11203, 995, 38149, 11296, 20666, 28814, 1829, 3224, 22807, 4032, 48, 13412, 2288, 9566, 3660, 8032, 1211, 39896, 20666, 3794, 995, 2407, 10632, 8608, 6027, 10632, 4724, 39184, 48, 30767, 1829, 5551, 12610, 49429, 20193, 22807, 12174, 12610, 8315, 39896, 3714, 43020, 37893, 20193, 12399, 32239, 8592, 22807, 5296, 33456, 12174, 12610, 8315, 29538, 25961, 2655, 3714, 23557, 25528, 3714, 14851, 2407, 10632, 12399, 29538, 6024, 48506, 3714, 23557, 25528, 37893, 3714, 14851, 2407, 10632, 12399, 4032, 46958, 5016, 3660, 12399, 11933, 15730, 41850, 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Scalar لما أجيب ال magnitude .. تلعبوا هادي .. ربعولي هادي .. R تربيع Sine تربيع Cos تربيع .. 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+00:00:32,150 --> 00:00:36,330 +images زي ما حكينا هي طريقة غير systematic غير + +4 +00:00:36,330 --> 00:00:40,330 +scientific لكن في النهاية إحدى الطرق المعتمدة عشان + +5 +00:00:40,330 --> 00:00:44,890 +نجيب الجهد الكهربا إلى بعض الحالات فإيش بتقول a + +6 +00:00:44,890 --> 00:00:48,230 +charge distribution plus a potential specified on + +7 +00:00:48,230 --> 00:00:52,110 +a surface بقول إذا كان في عندك charge distribution + +8 +00:00:52,110 --> 00:00:58,290 +شحنات معروفة بجوارها سطح هذا السطح لابد أن يكون + +9 +00:00:58,290 --> 00:01:04,470 +جهده specified معروفSpecified is replacedبتحول هذا + +10 +00:01:04,470 --> 00:01:11,710 +السؤال نظريًا بصورة تخيّلية إلى نفس الشحنات وصورة + +11 +00:01:11,710 --> 00:01:17,530 +لهذه الشحنات إذا أنا بدي أفترض افتراض صورة لنفس + +12 +00:01:17,530 --> 00:01:21,530 +الشحنات الشرط الوحيد أو الشرطين الموجودين أن + +13 +00:01:21,530 --> 00:01:25,510 +الصورة لازم تكون في المنطقة خارج نطاق منطقتك اللي + +14 +00:01:25,510 --> 00:01:32,310 +بتشتغل عليها والشغل التاني أن موضع ال imageوقيمتها + +15 +00:01:32,310 --> 00:01:36,750 +بتحددها جهد السطح الجهد اللي على السطح اللي هي ال + +16 +00:01:36,750 --> 00:01:44,930 +boundary condition and soالتشارد ديستربيوشن ومحطة + +17 +00:01:44,930 --> 00:01:50,530 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +18 +00:01:50,530 --> 00:01:53,570 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +19 +00:01:53,570 --> 00:01:56,250 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +20 +00:01:56,250 --> 00:01:57,610 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +21 +00:01:57,610 --> 00:02:01,590 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة + +22 +00:02:01,590 --> 00:02:07,890 +تشارد ديستربيوشن ومحطة تشارد ديستربيوشن ومحطة تش + +23 +00:02:09,430 --> 00:02:15,190 +plane سطح conductor infinite اذا a point in charge + +24 +00:02:15,190 --> 00:02:20,350 +q is held a distance d above an infinite grounded + +25 +00:02:20,350 --> 00:02:24,590 +conducting a plane find v above the plane بيقول لي + +26 +00:02:24,590 --> 00:02:28,950 +اوجد الجهد عند النقطة هذه اي نقطة برافقلنا حسب + +27 +00:02:28,950 --> 00:02:34,470 +الكلام charge distribution هاي السطح بحد هذه + +28 +00:02:34,470 --> 00:02:38,190 +المنطقة السطح جهده معروف ولا لأ؟ جالي grounded + +29 +00:02:38,190 --> 00:02:44,520 +يعني zero تمام بيقولي بدلواالسؤال بيصير نفس الشحنة + +30 +00:02:44,520 --> 00:02:50,560 +و image لها هذه الشحنة ال image تبعها ممنوع يكون + +31 +00:02:50,560 --> 00:02:55,720 +فوق لازم يكون تحت بدي يكون تحت عشان احافظ على ان + +32 +00:02:55,720 --> 00:02:59,320 +الجهود يكون zero على السطح بقول ال image لازم تكون + +33 +00:02:59,320 --> 00:03:03,940 +سالبة وعلى نفس البعد فبنقول solution at the + +34 +00:03:03,940 --> 00:03:08,060 +boundary condition يعني at z بتسوي zeroالـ z يجب + +35 +00:03:08,060 --> 00:03:11,920 +أن يكون صحيحًا، هذا يعني أنه لإيقاف هذه الوضعية + +36 +00:03:11,920 --> 00:03:15,400 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +37 +00:03:15,400 --> 00:03:15,940 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +38 +00:03:15,940 --> 00:03:18,880 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +39 +00:03:18,880 --> 00:03:24,200 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +40 +00:03:24,200 --> 00:03:24,720 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +41 +00:03:24,720 --> 00:03:25,560 +الوضعية الوضعية الوضعية الوضعية الوضعية الوضعية + +42 +00:03:25,560 --> 00:03:32,180 +الوضعية الوضعية الوإذا كيف صار السؤال؟ السؤال + +43 +00:03:32,180 --> 00:03:36,320 +انقلب إلى و كأنه عندك two pointed charges و بدك + +44 +00:03:36,320 --> 00:03:39,540 +تجيب الجهد لهم و لما يكون في عندي two pointed + +45 +00:03:39,540 --> 00:03:42,620 +charges و بدك تجيب الجهد لهم سؤالي trivial very + +46 +00:03:42,620 --> 00:03:46,660 +very simple انك انت عندك two charges بدك تجيب V + +47 +00:03:46,660 --> 00:03:53,340 +بقول V equal K Q1 على R script 1 ذات Q2 على R + +48 +00:03:53,340 --> 00:03:58,830 +script 2وضاير علي بس أجيب R script one و two و + +49 +00:03:58,830 --> 00:04:04,810 +نذاكر بعضنا R script equal R minus R شرطة ذاكرين + +50 +00:04:04,810 --> 00:04:10,910 +ولا لأ؟ R minus R شرطة R هو إحداث ال point وR شرطة + +51 +00:04:10,910 --> 00:04:14,170 +هو ال coordinate السبب عن ال charge طبعا ال point + +52 +00:04:14,170 --> 00:04:21,770 +في الحالتين هي Rهذه احداثيها D باتجاه Z وهذه D + +53 +00:04:21,770 --> 00:04:27,230 +بتجاه سلب Z فبالتالي زي ما حكينا D وانا مش شغال + +54 +00:04:27,230 --> 00:04:27,410 +هنا + +55 +00:04:32,110 --> 00:04:42,770 +R-R1R-R2R-R1R + +56 +00:04:42,770 --> 00:04:49,950 +-R2R-R2R-R1R-R2R-R1R-R2R-R2R-R1R-R2R-R1R-R2R-R1R + +57 +00:04:49,950 --> 00:04:50,590 +-R2R-R1R-R2R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R + +58 +00:04:50,590 --> 00:04:50,690 +-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R + +59 +00:04:50,690 --> 00:04:52,010 +-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R-R1R + +60 +00:04:52,010 --> 00:05:06,310 +-R1R-R1R-R1R-R1R-R12R-R²R²R²R²R²R²R²R²R² + +61 +00:05:13,840 --> 00:05:19,120 +أحكي احنا بنقدر نبتدر المنطقة اللي هي خارج النطاق + +62 +00:05:19,120 --> 00:05:21,980 +هي المنطقة اللي قبل شوية تعلمتها هي الوحيدة اللي + +63 +00:05:21,980 --> 00:05:27,080 +عندها جود زيرو براو عليك يعني بمعنى اخر انت ليش + +64 +00:05:27,080 --> 00:05:29,840 +خدت هذه النقطة وماخدتش هذه النقطة؟ هاي جازك؟ لأ + +65 +00:05:29,840 --> 00:05:35,980 +اوضع سبكيو هى المنطقة اللي عندها جود زيرو وهي هنا + +66 +00:05:35,980 --> 00:05:40,760 +هى جازك؟ هي خارج النطاقهذه الـ image بدي أضعها + +67 +00:05:40,760 --> 00:05:44,020 +خارج النطاق، الـ image، لكن الجهد وين بتكون zero؟ + +68 +00:05:44,020 --> 00:05:47,640 +على السطح، يعني على السطح، على النقاط هذه كلها يا + +69 +00:05:47,640 --> 00:05:52,040 +نور، كل هذه النقاط، هذه كل هذه النقاط، زي تبعتهم + +70 +00:05:52,040 --> 00:05:56,100 +zero ولا لأ؟ أه، إذا النقاط اللي على السطح هي + +71 +00:05:56,100 --> 00:05:59,480 +الجهد بيسوي zero طب، بس قصدي على ال image، هي ال + +72 +00:05:59,480 --> 00:06:02,600 +image اللي بقص المضمون جزك إنت لو ال image خططيها + +73 +00:06:02,600 --> 00:06:06,560 +هنا مثلا؟يعني حطيتها في أي مُنطقة غير هنا يكون + +74 +00:06:06,560 --> 00:06:10,580 +الجهد .. أه طبعا لو حطيتها هنا بظبطش، بنفعش، انت + +75 +00:06:10,580 --> 00:06:13,860 +تصور ان لو حطيتها هنا بتظبط؟ لأ بتظبطش، انه عشان + +76 +00:06:13,860 --> 00:06:16,320 +يكون عندك الجهد هنا Zero فلازم يكون في المنطقة + +77 +00:06:16,320 --> 00:06:18,880 +التانية، لازم يكون في المنطقة التانية عشان انا + +78 +00:06:18,880 --> 00:06:22,720 +اعمل تعادل، انه كيف الجهد .. انا اتعلم هذا الكلام، + +79 +00:06:22,720 --> 00:06:26,820 +بس قصدي انه انت و أبتلى ممكن تحط ال image في أي + +80 +00:06:26,820 --> 00:06:30,080 +مكان تحس انه يكون الجهد سوء Zero بظبط، بس المكان + +81 +00:06:30,080 --> 00:06:34,920 +هدفه أي مكان outside the regionأصلا هي هذه المنطقة + +82 +00:06:34,920 --> 00:06:39,240 +هي الوحيدة اللي بيكون فيها اه بس بس صحيح مظبوط + +83 +00:06:39,240 --> 00:06:45,440 +تمام اذا بعد ما طلعناها جون هايفي الآن بعد ما حطت + +84 +00:06:45,440 --> 00:06:48,760 +السؤال بدي اعمل شك بسيط انا بيبقى بنعيد تعالي هنا + +85 +00:06:48,760 --> 00:06:51,380 +يا عزيزي جانب صحبيتك وانسيها + +86 +00:06:54,580 --> 00:06:58,300 +تمام دعنا نتكلم عن شحنات الشحن على السطح + +87 +00:07:08,040 --> 00:07:13,360 +بالقطع أساليب Q تحديدًا خلّينا نجرب قلنا لو بدي + +88 +00:07:13,360 --> 00:07:16,800 +أجيب أنا Sigma روحت للـBoundary Condition اللي + +89 +00:07:16,800 --> 00:07:20,800 +بيقول partial V1 على partial N minus partial V2 + +90 +00:07:20,800 --> 00:07:25,180 +على partial N at the surface must equal to minus + +91 +00:07:25,180 --> 00:07:28,400 +Sigma على Y node من هذه بقدر أجيب Sigma ومن Sigma + +92 +00:07:28,400 --> 00:07:35,390 +بقدر أجيب Q تمام، الآنالـ N to the surface is the + +93 +00:07:35,390 --> 00:07:40,370 +Z coordinates وبالتالي هذه الـ N بتنجلب لـ Z و هذه + +94 +00:07:40,370 --> 00:07:46,330 +بتنجلب ل Z على طول حسب السطح تبعي تمام V2 is + +95 +00:07:46,330 --> 00:07:52,230 +constant لأنه infinite plane حيث كل حاجة وبالتالي + +96 +00:07:52,230 --> 00:07:56,750 +صارت عندي القانون هذا روح partial V1 على partial Z + +97 +00:07:57,680 --> 00:08:00,980 +الـ N هو الـ Z و هم اتفقين ان الـ Normal بدي في + +98 +00:08:00,980 --> 00:08:03,960 +الآخر يكون أحد ال coordinates تبعتي اللي أنا + +99 +00:08:03,960 --> 00:08:10,960 +بتعامل معاها تمام يلّا نشتق Z بالنسبة للـ Z بتشتق + +100 +00:08:10,960 --> 00:08:14,760 +Z بالنسبة للـ Z طبعا زي ما اتفقنا ان هذا عبارة عن + +101 +00:08:14,760 --> 00:08:20,620 +نص بالسالب لأن هذا أس سالب نص نفسه بيجي في التفاضل + +102 +00:08:20,620 --> 00:08:29,930 +اللي جوا 2Z-D مظبوط هيك ولا لأ؟ و هذا بيصير أسسلب + +103 +00:08:29,930 --> 00:08:35,310 +تلاتة ع اتنين براش ال .. ال squirrel root هداك + +104 +00:08:35,310 --> 00:08:40,800 +نفسه بس بصير ال z plus ديوبالتالي لما جيت عملتها + +105 +00:08:40,800 --> 00:08:46,420 +ناقص النص و مع التنين بتروح هاي النص و هاي التنين + +106 +00:08:46,420 --> 00:08:52,980 +راحت فz-d على هذا و هنا ناقص z زائد d بدي أحط ال z + +107 +00:08:52,980 --> 00:08:57,260 +بتساوي صفر لما أحط ال z بتساوي صفر هذي بتصير ناقص + +108 +00:08:57,260 --> 00:09:00,160 +d تربيع و هذي t تربيع بيصيروا زي بعض التنين + +109 +00:09:00,160 --> 00:09:05,820 +بيصيروا التنين زي بعض وبالتالي طلعت سيجما بهذا + +110 +00:09:05,820 --> 00:09:10,940 +الشكلطلعت سيجما بهذا الشكل هذه ممكن اعتبرها بتساوي + +111 +00:09:10,940 --> 00:09:20,700 +minus QD على 2pi رو تربيع plus D تربيع جزر التلاتة + +112 +00:09:20,700 --> 00:09:24,760 +ع 2 إذا بتحولها to cylindrical coordinates إذا + +113 +00:09:24,760 --> 00:09:27,260 +بتحولها to cylindrical coordinates هلجيت زي ما + +114 +00:09:27,260 --> 00:09:34,380 +اتفقنا المرة هديك بدك Q بسوء تكامل سيجما DA وهذه + +115 +00:09:34,380 --> 00:09:42,090 +بتساويتكامل sigma dx dy من ناقص من النهاية لمل + +116 +00:09:42,090 --> 00:09:45,390 +نهاية من ناقص من النهاية لمل نهاية بتطلع التكامل + +117 +00:09:45,390 --> 00:09:52,110 +او بتساوي sigma عندك الذت ثابت رو دي رو دي فاي + +118 +00:09:52,110 --> 00:09:58,170 +وبتصير التكامل الفاي من صفر لتنين او من صفر لمل + +119 +00:09:58,170 --> 00:10:04,820 +نهاية ومن صفر لتنينوفي الحالتين لو عملتي التكاملين + +120 +00:10:04,820 --> 00:10:09,500 +هيطلع عندك الجواب سالب Q طبعا انا طلعنا هذا و طلعت + +121 +00:10:09,500 --> 00:10:15,480 +هذا او طلع التكامل واحد و التكاملات بأي كتاب + +122 +00:10:15,480 --> 00:10:17,320 +mathematical physics بيجيبوا التكاملات اللي + +123 +00:10:17,320 --> 00:10:21,540 +بتغلبكم أو بتطلعوها بس انا هينطلعتكم إياها في ال + +124 +00:10:21,540 --> 00:10:23,560 +cylindrical coordinates الأسهل يعني بالنسبة إلي + +125 +00:10:23,560 --> 00:10:27,260 +كانتهذه .. لأنه .. شوفوا انتوا هذه باست وهذه مقام + +126 +00:10:27,260 --> 00:10:32,060 +فتفاضل المقام موجود في الباست فبتصير سهلة لكن لما + +127 +00:10:32,060 --> 00:10:36,360 +بدي اتعامل معاها dx dy هيكون عندكم انتاج كامل + +128 +00:10:36,360 --> 00:10:39,280 +عبارة عن dx على x تربيع ذات y تربيع دي زي تلتة على + +129 +00:10:39,280 --> 00:10:43,380 +اتنين طبعا مش صعب نتعامل معه لكن في النهاية لجأتها + +130 +00:10:43,380 --> 00:10:49,820 +دك أسهل اللي أنا عملته تمام هذا المثال الأول على + +131 +00:10:49,820 --> 00:10:58,080 +ال method of imagesعندي charge محطوط جنب infinity + +132 +00:10:58,080 --> 00:11:04,540 +plane كمان مثال بيقول لي a point in charge q is + +133 +00:11:04,540 --> 00:11:12,130 +situated a distance a from the centerof a grounded + +134 +00:11:12,130 --> 00:11:17,770 +conducting sphere of radius capital R finds V + +135 +00:11:17,770 --> 00:11:21,430 +outside that sphere تلعب رسمك كيف بتكون it's child + +136 +00:11:21,430 --> 00:11:24,970 +distribution وفيه سطح بس السطح الأن مش infinite + +137 +00:11:24,970 --> 00:11:30,620 +plane أقل عن كرة سطحهذا Grounded يعني لم يجد جهده + +138 +00:11:30,620 --> 00:11:35,960 +Zero إذا برضه السطح جهده معروف إذا كل شروط ال + +139 +00:11:35,960 --> 00:11:41,500 +method of images موجودة جالس تبدله بنفس الشحنة + +140 +00:11:41,500 --> 00:11:44,660 +وانسة هذا اعتبره مش موجود انت بتتخيل انه موجود لكن + +141 +00:11:44,660 --> 00:11:48,520 +ان انت بتحقق المكان اشدعاه فيه بدك تحط الآن image + +142 +00:11:48,520 --> 00:11:56,980 +يعني و انا احطهاأو خارج المنطقة الخارجية أين داخل + +143 +00:11:56,980 --> 00:12:00,940 +القرى هجيت أنا بدي أحط ال image داخل القرى قطعا + +144 +00:12:00,940 --> 00:12:07,100 +تمام؟ إذا معناته let the image charge كيو شرطة + +145 +00:12:07,100 --> 00:12:11,440 +تمام؟ be located a distance B from the center of + +146 +00:12:11,440 --> 00:12:17,570 +the sphere حطيطة هنا هجي سوينا و قعدنا نقطة Bهل + +147 +00:12:17,570 --> 00:12:21,270 +جيت هذه بي؟ أنا مش عارفها إيش علاقتها بالإيه؟ وQ + +148 +00:12:21,270 --> 00:12:24,810 +شرطة هل هي بالساوية سالية بـQ زي أول ولا لا؟ قولنا + +149 +00:12:24,810 --> 00:12:27,610 +هي ممكن مش لا، ليش؟ لأن قولنا هذه كانت مرايا + +150 +00:12:27,610 --> 00:12:31,930 +مستوية، هذه الآن مرايا مش مستوية، واضحة، إذا أنا + +151 +00:12:31,930 --> 00:12:34,890 +عندي مجهولين هل جيت؟ الـQ شرطة إيش بالساوية؟ وإيش + +152 +00:12:34,890 --> 00:12:38,490 +علاقتها بالكلمة الأصلية؟ ماعرفش، بيها دي؟ كدش + +153 +00:12:38,490 --> 00:12:42,370 +البعوض؟ برضه ماعرفش، إذا عندي أنا مجهولين بدياهم + +154 +00:12:42,780 --> 00:12:47,020 +لكن في النهاية قال لي واحدة واحدة انت عندك المسألة + +155 +00:12:47,020 --> 00:12:51,960 +مش انغلبت لسؤال اجيبي جهد for two pointy charges + +156 +00:12:51,960 --> 00:12:57,000 +ولا لا نفس السؤال بدل مكان شحنة و سطح و السطح معقد + +157 +00:12:57,000 --> 00:13:01,020 +و كده بتتعامل معاه بقولك انسى السطح مش موجود just + +158 +00:13:01,020 --> 00:13:05,180 +you have two pointy charges بدخل اجيبي الجهد عند + +159 +00:13:05,180 --> 00:13:09,190 +النقطة هذهطب ع الو انت بتجيب مين بدي يحددك الـQ + +160 +00:13:09,190 --> 00:13:12,030 +شرطه بيه؟ بقوله بقوله انه على السطح يجب الجهد يكون + +161 +00:13:12,030 --> 00:13:16,210 +Zero كيف بدي أخلي الجهد على السطح و أنا جاعد بجيب + +162 +00:13:16,210 --> 00:13:19,970 +هنا؟ بقوله خلّه small r هذي إيش يسوي؟ capital R + +163 +00:13:19,970 --> 00:13:23,930 +بصير وصلت السطح ولا ماصلتش؟ بصير وصلت السطح تتعامل + +164 +00:13:23,930 --> 00:13:29,130 +معها على هذا الشيء إذا نجلبه two pointed charges + +165 +00:13:29,130 --> 00:13:36,890 +two pointed charges تمام؟ أقلبك المرة يا عشان؟بدي + +166 +00:13:36,890 --> 00:13:43,290 +R script 1 و R script 2 زي اللي مرة هيديك R او الـ + +167 +00:13:43,290 --> 00:13:50,890 +R أسفريكال صح؟ + +168 +00:13:50,890 --> 00:14:01,290 +طيب R واحد شرطة بتساوي الواحد الحمراء بتبعد + +169 +00:14:01,290 --> 00:14:07,610 +مسافة إيه دلوقتي عن Z axis؟EQ أو EZ hat مضبوط طيب + +170 +00:14:07,610 --> 00:14:16,870 +R2 شرطة BZ hat خلاص خلصنا + +171 +00:14:16,870 --> 00:14:24,070 +سهل العملية فصار R script one بتساوي R ناقص R واحد + +172 +00:14:24,070 --> 00:14:30,870 +شرطة فصرت R R hat ناقص A باتجاه ال Z hat صح؟قلت إن + +173 +00:14:30,870 --> 00:14:35,530 +هذه لا يمكنني التعامل معها لأ تتحول إلى كارتيزيا + +174 +00:14:35,530 --> 00:14:38,470 +لأ تتحول إلى Syndical لأن هذه ليست موجودة في + +175 +00:14:38,470 --> 00:14:40,670 +كارتيزيا وليست في Syndical وانت عوضنا لتحولها إلى + +176 +00:14:40,670 --> 00:14:45,670 +كارتيزيا فهذه ساعة بتساوي R الـ R هات عبارة عن cos + +177 +00:14:45,670 --> 00:14:51,130 +.. دعنا نقول sin ثيتا أول أحسن sin ثيتا cos ف + +178 +00:14:51,130 --> 00:15:01,470 +باتجاه I ذات R sin ثيتا sin ف باتجاه Jزائد R cos θ + +179 +00:15:01,470 --> 00:15:07,250 +باتجاه الـ J و هنا في عندك A فصرت R cos θ نقص A + +180 +00:15:07,250 --> 00:15:16,210 +باتجاه ال K مظبوط التانية R script 2 نفسها R sin θ + +181 +00:15:16,210 --> 00:15:25,990 +cos ف I زاد R sin θ sin ف J زائد R cos θ نقص B + +182 +00:15:25,990 --> 00:15:31,780 +باتجاه ال Kعشان نعمل .. هجيب ال magnitude تبعت + +183 +00:15:31,780 --> 00:15:33,880 +هادي و ال magnitude تبعت هادي لإن هنا في magnitude + +184 +00:15:33,880 --> 00:15:37,120 +magnitude .. Scalar لما أجيب ال magnitude .. + +185 +00:15:37,120 --> 00:15:40,780 +تلعبوا هادي .. ربعولي هادي .. R تربيع Sine تربيع + +186 +00:15:40,780 --> 00:15:44,920 +Cos تربيع .. R تربيع Sine تربيع Sine تربيع .. ال + +187 +00:15:44,920 --> 00:15:47,360 +Sine تربيع و ال Sine تربيع مع ال R تربيع .. طلعوهم + +188 +00:15:47,360 --> 00:15:50,020 +برا .. بصير عندك كوسين تربيع زي ال Sine تربيع واحد + +189 +00:15:50,020 --> 00:15:54,360 +.. إذا من الاتنين هدول بيجيني R تربيع Sine تربيع + +190 +00:15:54,360 --> 00:16:00,670 +ال thetaبدي أبح هادي هادي تربيحة R تربيع Cos تربيع + +191 +00:16:00,670 --> 00:16:05,870 +الثيتا زائد A تربيع ناقص اتنين R A Cos تربيع + +192 +00:16:05,870 --> 00:16:13,330 +الثيتا صح ولا لأ هلجيت هادي مع هادي R تربيع فبصير + +193 +00:16:13,330 --> 00:16:18,070 +كلها ال R one script تسوي R تربيع زائد A تربيع + +194 +00:16:18,070 --> 00:16:22,550 +ناقص اتنين R A Cos تربيع الثيتا وال R script اتنين + +195 +00:16:22,550 --> 00:16:27,760 +يعطيكوا العافيةR تربيع زاد B تربيع نخس اتنين RB + +196 +00:16:27,760 --> 00:16:34,040 +cos فى فلمّا جبتها أنا زى ما انتوا تاوعى حاكينا مع + +197 +00:16:34,040 --> 00:16:40,540 +بعض فهي R script one وهي R script two خلاص عوض هنا + +198 +00:16:40,540 --> 00:16:46,420 +تقولى هاي الجهودخلصت الجهود، بس إيش في عندك مشكلة؟ + +199 +00:16:46,420 --> 00:16:52,340 +بيقوللي، انت حاططها، بدك تجيبليها، بدك تجيبليها + +200 +00:16:52,340 --> 00:16:57,420 +بدلالة الأصل، انت عندك السؤال في Q وفي عندك سطح، + +201 +00:16:57,420 --> 00:17:00,640 +الـQ شرطها دي صورة خيالية انت عطيتها، افطرتها، بدك + +202 +00:17:00,640 --> 00:17:05,050 +تجيب دلالتها بدلالة الـQ الأصليةوالـ CP برضه انت + +203 +00:17:05,050 --> 00:17:08,610 +افترضتها .. فح؟ .. اذا انا لسه بدي اكمل .. بدي EQ + +204 +00:17:08,610 --> 00:17:12,530 +شرطة و بدي P .. تمام؟ .. انا ماضلش اعمل ايه لهذه + +205 +00:17:12,530 --> 00:17:16,020 +الشغل اللي بدي ألعب فيه انا وياكماحكي يا نور احنا + +206 +00:17:16,020 --> 00:17:21,160 +بالسؤال قبلين حطينا ال image اعتبر ان ال B تسوى + +207 +00:17:21,160 --> 00:17:25,140 +Zero مظبوط طب هنا انا مش عارفة انه .. لأ مارها جيت + +208 +00:17:25,140 --> 00:17:27,820 +ماني بدي احطها Zero المره هذيك انا كانت سهلة + +209 +00:17:27,820 --> 00:17:31,660 +الأعمالية خمنت من البداية يوم شيء و خمنت من أول هو + +210 +00:17:31,660 --> 00:17:35,240 +الأصل ان احط ال Q شرطة و احط B صح ولا؟ وحط وقول + +211 +00:17:35,240 --> 00:17:38,720 +لما عشان تكون Zero لازم Q شرطة تسوى سنة بQ و لازم + +212 +00:17:38,720 --> 00:17:43,300 +B تسوى D أما هنا الأعمالية أصعب شوية فجالي اخليها + +213 +00:17:46,670 --> 00:17:51,190 +أنا بس لازم أكون جوا فجيت بقعدها و مقدارها بعرفش + +214 +00:17:51,190 --> 00:17:57,370 +فحطتها أي رمز هناك كان سهل أخمل فمن أول حطيتها هنا + +215 +00:17:57,370 --> 00:18:01,870 +و جفت هالجد أنا إيش بقول عندك جديش جهد على السطحهل + +216 +00:18:01,870 --> 00:18:04,610 +جيت بدي أخلّيها Zero عشان أطلّي عدو الثوابط اللي + +217 +00:18:04,610 --> 00:18:08,110 +أنا ماقدرتش أخمنه بتخمين؟ إذا هناك خمنتم بسهولة، + +218 +00:18:08,110 --> 00:18:11,190 +هل جيت بدي أشتغل بالجلم والورقة والمعطويات + +219 +00:18:11,190 --> 00:18:15,590 +الرياضية تبعتي؟ طيب، عشان هذه تسير على السطح، إيش + +220 +00:18:15,590 --> 00:18:21,070 +بدي أحط محل Small R يا نور؟ بس، و في داخل أسويها ب + +221 +00:18:21,070 --> 00:18:25,250 +Zero، لو هذه حطت Capital R، وهذه Capital R، وهذه + +222 +00:18:25,250 --> 00:18:29,650 +Capital R، وهذه Capital R، قطعًا بحط إيش؟ساعتها + +223 +00:18:29,650 --> 00:18:34,450 +بحط Zero مظبوط ولا لأ؟ لما أحط Zero بيصير هذا ال + +224 +00:18:34,450 --> 00:18:38,030 +term بيساوي سالب هذا ال term صحيح ولا لأ؟ فقال لي + +225 +00:18:38,030 --> 00:18:40,330 +ال boundary condition اللي بدي أشتغل عليه اللي هو + +226 +00:18:40,330 --> 00:18:43,070 +ال Zero بيقول أن أنت عندك at small r بيساوي كمية + +227 +00:18:43,070 --> 00:18:45,810 +ال Earth صرت على السطح إذاً دي بيساوي Zero إذا + +228 +00:18:45,810 --> 00:18:48,670 +السؤال هيك طبعا الواحد بيقول كيف عملت هيك؟ و ليش + +229 +00:18:48,670 --> 00:18:51,110 +عملت هيك؟ الواحد بيقولك طب بتطلع انتوا إيش اللي + +230 +00:18:51,110 --> 00:18:57,790 +بدي أسويه أنا بعد ما عملنا هذا أنا عندي أكم مجهول + +231 +00:18:57,790 --> 00:19:03,220 +يهودةأكن مجهول جاي بتطلع حقوق الـQ شرطه بيه أكن + +232 +00:19:03,220 --> 00:19:08,180 +معادلة عندي فين هم؟ مافيش عندي لا واحدة و أنا + +233 +00:19:08,180 --> 00:19:10,680 +اتعلمت طول عمري عشان مجهولين أكن معادلة بالزمن + +234 +00:19:10,680 --> 00:19:14,260 +معادلتين بقول طيب انت مرات في من لما يكون عندك + +235 +00:19:14,260 --> 00:19:17,220 +معادلة علمونا في رياضيات ان ممكن نتحايل على + +236 +00:19:17,220 --> 00:19:21,560 +المعادلة و نطلع المجهولين من نفس المعادلة هذا + +237 +00:19:21,560 --> 00:19:25,870 +التكنيك ماحد يسألني كيف هذا تحوير تجريبفهمتوا + +238 +00:19:25,870 --> 00:19:32,250 +عليا؟ واحد بده يقعد يجرب قال بده يطلع من هنا R يا + +239 +00:19:32,250 --> 00:19:43,150 +بنات إيش هذي بصير؟ هذي بصير واحد و هذي و هذي بده + +240 +00:19:43,150 --> 00:19:46,730 +يطلع من هنا Bأحد يقول، طب ليش ما طلعتش R؟ هو وانت + +241 +00:19:46,730 --> 00:19:49,430 +على خاطرك؟ إنت خادر من حد يقول على خاطرك وانت على + +242 +00:19:49,430 --> 00:19:51,690 +خاطرك، يجربوا، مش هتجربوا الامتحانات اللي معاكم + +243 +00:19:51,690 --> 00:19:54,170 +إلا أنت قاعد تجلبوا، وهي التجريب، وما تخافوش من + +244 +00:19:54,170 --> 00:19:56,290 +التجريب، يعني هذه نهاية مش مهم أن الواحد يقولها ك + +245 +00:19:56,290 --> 00:19:58,630 +.. ماتيسألوش حالكم كأبو أحمد وانت جاري في + +246 +00:19:58,630 --> 00:20:02,950 +الامتحانة، مش هتجربوا في الامتحانةاحنا بس مجرد في + +247 +00:20:02,950 --> 00:20:06,710 +هذه الشغلات بنقتنع إنه بيعمل صح ولا لأ، لكن كم دي + +248 +00:20:06,710 --> 00:20:09,770 +جعباننا في الامتحان ينسوها هذه، احنا مخلصنا عنه + +249 +00:20:09,770 --> 00:20:13,470 +بيخليه يجعبالكم، احنا مين بيقولكم كي نعمل، هدف + +250 +00:20:13,470 --> 00:20:17,250 +النهارة، الواحد بعد ما يكون جداله أسبوع ولا يومين + +251 +00:20:17,250 --> 00:20:20,130 +ولا كده، هو بيحاول، في الآخر بيحطها هنا، في الناس + +252 +00:20:20,600 --> 00:20:24,020 +بواكوا كل الناس بيحاولوا زيه؟ صحيح فبروح نحط hint + +253 +00:20:24,020 --> 00:20:29,300 +عشان يسهل ان انت عندك معادلة رياضية و فيها مجهولين + +254 +00:20:29,300 --> 00:20:33,660 +و بدك تتعامل مع تكنيك رياضي تمام لما طلع ال P هذي + +255 +00:20:33,660 --> 00:20:39,660 +ايش بتصير؟ و هذي و هذي على P و تصير هيك صح ولا لأ؟ + +256 +00:20:39,660 --> 00:20:44,380 +طبعا هذي بيصير Q شرطة على P و هذي بيصير Q على R + +257 +00:20:44,380 --> 00:20:52,260 +مظبوط هيك؟ تمام فقال لي هيك صارت المعادلةفي شرط + +258 +00:20:52,260 --> 00:20:54,200 +سالب، أنا مش عارف إن مش مبينة، بس هي المفروض تكون + +259 +00:20:54,200 --> 00:20:58,840 +مبينة يعني هي المفروض تكون مبينة، ماعرفش .. هل إجت + +260 +00:20:58,840 --> 00:21:02,620 +مع السالب مع .. مش عارف ورا أخر التلعب إيش صعد؟ هو + +261 +00:21:02,620 --> 00:21:05,700 +إيش بيقولك؟ بيقولك أه أنا هيكت، هيكت على المعادلة + +262 +00:21:05,700 --> 00:21:10,960 +بقدر تقول هذا كسر بيسوي كسر، بقدر أقول قطعًا لازم + +263 +00:21:10,960 --> 00:21:14,920 +ال bus يسوي ال bus و المقام يسوي المقام؟ مش شرط، + +264 +00:21:14,920 --> 00:21:20,970 +لكن لو كان .. لو هدول موجودينبكونوا صحيحين ولا لأ؟ + +265 +00:21:20,970 --> 00:21:25,750 +يعني بمعنى اخر لو اتي واحد جالك X على 3 بيساوي + +266 +00:21:25,750 --> 00:21:33,350 +خمسة على تلاتة وانت مغضباش بتقول عن X خمسة، مظبوط + +267 +00:21:33,350 --> 00:21:36,070 +ولا لأ؟ لأنه مازال مقامين بتساوي، لذا لازم البصين + +268 +00:21:36,070 --> 00:21:38,890 +يتساوي فتقوللي هل جيت انا بدي اعمل اللي وياك + +269 +00:21:38,890 --> 00:21:41,070 +التاني؟ بتحكم ان ال bus بيساوي bus و مقامي بيساوي + +270 +00:21:41,070 --> 00:21:44,190 +مقامي لما اقول bus بيساوي bus و مقامي بيساوي مقامي + +271 +00:21:44,190 --> 00:21:47,830 +ممكن اعملتهم عجلتين صح ولا لأ؟و المعضلة اللي كانت + +272 +00:21:47,830 --> 00:21:52,810 +عندك روحها فمن هنا على طول قلت آه Q على R بيساوي + +273 +00:21:52,810 --> 00:22:01,230 +سلب Q شرطة على B من هنا خلّيني أقول Q شرطة بيساوي + +274 +00:22:01,230 --> 00:22:09,310 +Q في B على R بالمائنس برافو ماخلصش أنه B مجهولة + +275 +00:22:09,310 --> 00:22:13,570 +قالت طب شوف المقام يساوي المقام قلت لهم المقام + +276 +00:22:13,570 --> 00:22:21,000 +يساوي المقامone one هذي a على r وهذه r على b تمام؟ + +277 +00:22:21,000 --> 00:22:26,240 +وهذه نفس العملية a على r وr على b فصار في تشابه هو + +278 +00:22:26,240 --> 00:22:31,900 +كأن a على r هي نفسها تساوي r على b من هنا طلعت بي + +279 +00:22:31,900 --> 00:22:36,740 +بي الآن صارت معلومة ولا مش معلومة؟ معلومة لأنه + +280 +00:22:36,740 --> 00:22:42,470 +بصيغة معتياتيكابيتل R نص كتر الكرا و P و A بعد + +281 +00:22:42,470 --> 00:22:48,810 +النقطة الأصلية طيب هذه P إذا ال Q شرطة بيسوي ناقص + +282 +00:22:48,810 --> 00:22:53,770 +Q على كابيتل R و بدي ال P يحطلي R تربيع على A هذه + +283 +00:22:53,770 --> 00:22:59,630 +بتروح مع هذه إذا ناقص Q كابيتل R على A إذا هذه Q + +284 +00:22:59,630 --> 00:23:04,750 +شرطة بيسوي سلب Q بيسوي سلب Q في كابيتل R على A إذا + +285 +00:23:04,750 --> 00:23:09,600 +طلعت النتيجة و خلصت السؤالأذن الحل الأولاني اللي + +286 +00:23:09,600 --> 00:23:14,020 +حطيته في الشريحة اللي جاب الها ده الأن أصبح كامل + +287 +00:23:14,020 --> 00:23:21,000 +لإن المجاهيل تبعتي اعملتها طيب .. الأن خلص السؤال + +288 +00:23:21,000 --> 00:23:25,300 +لو أنا جيت بدي أقول عادة ما أجيبش أمثلة، بدي أجيب + +289 +00:23:25,300 --> 00:23:29,280 +هالمثال في امتحان يعني إيش بدي بقعد كده؟ أنا محل + +290 +00:23:29,280 --> 00:23:34,260 +تهوشي، بدي Sigma و بدي Q، دي درجبه + +291 +00:23:37,620 --> 00:23:40,580 +من أين بدأ دي بالـ Sigma؟ صح يا ضايلة؟ طب حكيك + +292 +00:23:40,580 --> 00:23:44,220 +نيحا، معناته ما .. ماحكيش ال .. ال data الجديدة من + +293 +00:23:44,220 --> 00:23:49,540 +الامتحان، تمام؟ بقول partial V out على partial إيش + +294 +00:23:49,540 --> 00:23:54,680 +ال N هنا في الاسفير؟ ال .. ال R اللي هو ال normal + +295 +00:23:55,790 --> 00:24:01,130 +الـ Normal ما سيكون؟ الـ R-Component إذا على R نقص + +296 +00:24:01,130 --> 00:24:06,210 +partial V in على partial R وهذا Zero يعني A الـ R + +297 +00:24:06,210 --> 00:24:11,470 +بتساوي capital R على السطح بتساوي سالب Sigma على + +298 +00:24:11,470 --> 00:24:15,670 +أبسل نوت بشتغل، + +299 +00:24:15,670 --> 00:24:19,290 +عادي، مافيش أسهل من الاشتغال و بشتغل عليها و بعدين + +300 +00:24:19,290 --> 00:24:26,670 +بهذه Sigma بدي Qبدي Q بقول Q بسوء تكامل سجما دي + +301 +00:24:26,670 --> 00:24:31,550 +ايه؟ مين يجيبلي دي ايه؟ spherical coordinates + +302 +00:24:31,550 --> 00:24:38,170 +عالسطح تبع الكورة؟ شو ثابت؟ خلصنا، اذا ما زال ال R + +303 +00:24:38,170 --> 00:24:44,450 +ثابت، اذا R ترديع sin θ Dθ Dφ و sin θ او Dθ من صفر + +304 +00:24:44,450 --> 00:24:47,570 +إلى باي و في من صفر إلى اتنين باي و بتجيبوا ال Q + +305 +00:24:47,570 --> 00:24:49,810 +تمام؟ اللي انا ماعملتش هنا + +306 +00:25:03,240 --> 00:25:07,780 +الاخيرة في هذا الـ chapter هو الـ Multiple + +307 +00:25:07,780 --> 00:25:13,200 +Expansion طبعا أسمعنا في الـ die ball أسمعتوا في + +308 +00:25:13,200 --> 00:25:18,400 +ال die ball؟ die ball أو الثنقط بالكهربائي أسمعتوا + +309 +00:25:18,400 --> 00:25:22,160 +فيه؟ باللغة العربية؟ أسمعنا فيه الثنقط بالكهربائي + +310 +00:25:22,160 --> 00:25:26,160 +أخدناها في فيزيا بقى وصمته die ball وقلتلكم أيام + +311 +00:25:26,160 --> 00:25:29,140 +فيزيا بقى كنت أقول لهم انسوا الاسم انسوا الاسم + +312 +00:25:29,140 --> 00:25:32,640 +لأنهم ماتشغلوش في الاسم لكن قلنا ال die ball ككلمة + +313 +00:25:33,010 --> 00:25:35,770 +وزي ما حكينا مرات كلمة بتيجي هيك عشان لما ت .. + +314 +00:25:35,770 --> 00:25:39,150 +تنعاد يقول بس مجرد والله وينا سمعنا فيها هذه .. + +315 +00:25:39,150 --> 00:25:43,670 +سمعنا فيها شو وضعي بولي بلد؟هم في النهاية احنا + +316 +00:25:43,670 --> 00:25:47,350 +بنتعامل .. احنا قاعدين في ال bachelor's و .. و .. + +317 +00:25:47,350 --> 00:25:48,990 +و غالبا في ال bachelor's و حتى في بداية + +318 +00:25:48,990 --> 00:25:52,810 +الماجستيرات بتعاملوا مع شغلات نظرية هذه الشغلات + +319 +00:25:52,810 --> 00:25:58,330 +النظرية هي شغلة محاكالة الأمور الواقعية هي محاكاة + +320 +00:25:58,330 --> 00:26:02,250 +كيف يعني؟ هو بيقولك انت لما تيجي تقولي بدي جهود و + +321 +00:26:02,250 --> 00:26:04,790 +شحن هنا و شحن هنا انت بتشوف الطبيعة شحن جاعة هنا و + +322 +00:26:04,790 --> 00:26:07,750 +شحن جاعة هنا انا كنت ماشي هنا كده اندجبتوا بشحن + +323 +00:26:07,750 --> 00:26:13,000 +قدامكم؟ لأمظبوط او لا؟ اذا هذه شغلات نظرية لكن في + +324 +00:26:13,000 --> 00:26:15,900 +الآخر بتقولوا هذه شحنات ما هي الشيعة في الآخر + +325 +00:26:15,900 --> 00:26:19,720 +علمتنا انها electron و proton مظبوط او لا؟ طيب نجي + +326 +00:26:19,720 --> 00:26:23,740 +للمبدأ الطبيعي انا كل شغلي هذا عشان بقرأ ان هذه + +327 +00:26:23,740 --> 00:26:27,640 +المادة اي مادة في ايدي اعرف ايه خواصة الفيزيائية + +328 +00:26:27,640 --> 00:26:30,840 +ايه شأن خواصة الفيزيائية؟ المجال المعناطيسي جوا + +329 +00:26:30,840 --> 00:26:34,240 +كيف؟ المجال الكهربائي جوا كيف؟ فهمتوا عليه كيف؟ + +330 +00:26:34,240 --> 00:26:38,090 +تمام بقول هي اي مادة الشيعةما هي عبارة عن إما + +331 +00:26:38,090 --> 00:26:43,490 +ذرات، صح؟ والذرة من إيش بتتكون يا بنات؟ من شحنات + +332 +00:26:43,490 --> 00:26:48,090 +موجبة وين محطوطة؟ في النواة، وشحنات سالبة بتدور + +333 +00:26:48,090 --> 00:26:52,170 +حواليها، صح ولا لا؟ وعادة لما أكون أنا عندي الجسم + +334 +00:26:52,170 --> 00:26:54,330 +متعادل، معناته الشحنات الموجبة تصبح الشحنات + +335 +00:26:54,330 --> 00:26:59,550 +السالبة، مظبوط ولا لا؟ طيب، هذه المادة، أكم ذرة + +336 +00:26:59,550 --> 00:27:04,350 +فيها؟هي كبشة زي ما جالوها الشباب، كبشة، مظبوط ولا + +337 +00:27:04,350 --> 00:27:09,770 +لا؟ هي مناين دي جوا تمام بقدر أقول هذه المادة + +338 +00:27:09,770 --> 00:27:15,970 +عبارة عن أزواج من مو جاب سالب، مو جاب سالب، مو جاب + +339 +00:27:15,970 --> 00:27:20,490 +سالب ولا لا؟ اه لأن كل واحدة منهم عبارة عن زوج + +340 +00:27:20,490 --> 00:27:25,530 +لحاله، هذا الزوج بس بدي زوج واحد، أجيب جهده، بس + +341 +00:27:25,530 --> 00:27:29,750 +زوج واحد، و بعدين أقول هدول كبشتدايبولات زي ما + +342 +00:27:29,750 --> 00:27:36,050 +نسميها تمام اذا دعنا نتخيل الهواء رغم واحد دايبول + +343 +00:27:36,050 --> 00:27:41,150 +طبعا مالتي بول كبشة من الدايبولات مالتي بول متعدد + +344 +00:27:41,150 --> 00:27:45,310 +دايبول عندنا بنشوف شوه دايبول at a point far away + +345 +00:27:45,310 --> 00:27:52,110 +from itالدايبول الذي أخدناه في ذياباه والعيدو لأنه + +346 +00:27:52,110 --> 00:27:56,630 +مصمم من اكتشافين اكتشافين اكتشافين اكتشافين + +347 +00:27:56,630 --> 00:27:58,590 +اكتشافين اكتشافين اكتشافين اكتشافين اكتشافين + +348 +00:27:58,590 --> 00:28:05,300 +اكتشافين اكتشافين اكتشافين اكتشافينأو جد للجهود + +349 +00:28:05,300 --> 00:28:10,440 +and النقطة R هذا كان سؤال في كتاب فيزيا باه سؤال و + +350 +00:28:10,440 --> 00:28:14,420 +كنا لما يجي الطلاب يصعبونهم و هم يسخفتوا منهم مش + +351 +00:28:14,420 --> 00:28:18,900 +شغلكم هالجيل تمام؟ احنا طبعا جيبنا مثال كان ال + +352 +00:28:18,900 --> 00:28:23,120 +point هنا كان سهل لو كنا نتشطر عليهم مثال و نحلوا + +353 +00:28:23,120 --> 00:28:25,960 +إيه لهمراح في السؤال يجيبنا سؤال زي هيك ويقول هم + +354 +00:28:25,960 --> 00:28:29,540 +اشتغلوا وطبعا طلب السنقولة و لسه هجيهن فأكيد + +355 +00:28:29,540 --> 00:28:33,580 +بتصحبوا منه و احنا كنا بنددهم و بندداه احنا ندقوا + +356 +00:28:33,580 --> 00:28:36,600 +بالأمثلة زيها بنجيب و بيجيبوش علامات نجيبلهم سؤال + +357 +00:28:36,600 --> 00:28:40,700 +زيها ده و بيجيبوش و بيقولهم نسوه، تمام؟ يعني إذا + +358 +00:28:40,700 --> 00:28:45,280 +في واحد حابب يشمر و يقعد و يحل بحله في النهاية + +359 +00:28:45,280 --> 00:28:48,930 +يعني مش مستحيل لكن برضه ماكناش نطلبه منهمأما الآن + +360 +00:28:48,930 --> 00:28:54,750 +كبرنا وصلنا ناخدين Calculus B و Calculus C و + +361 +00:28:54,750 --> 00:28:58,710 +Mathematical Physics I و Mathematical Physics II و + +362 +00:28:58,710 --> 00:29:04,850 +Mathematical Mechanics تمام بدنا نشتغل هو شغل سهل + +363 +00:29:04,850 --> 00:29:08,290 +جدا يعني العملية بس فيها تكنيك رياضي بنتعامل معاه + +364 +00:29:08,290 --> 00:29:11,370 +نرجع و نقول الرياضيات دايما بتنطلنا الرياضيات + +365 +00:29:11,370 --> 00:29:15,760 +دايما بتنطلنا و هي ال tools سبعتنا كفيزيائيينهذا + +366 +00:29:15,760 --> 00:29:18,640 +ليس سؤال، اذا كنت تبحث عن الـG في الـtwo-pointed + +367 +00:29:18,640 --> 00:29:21,760 +charges، فهو صح ولا لا؟ الـtwo-pointed charges صعب + +368 +00:29:21,760 --> 00:29:27,200 +علينا؟ لأنه لا يوجد أسهل منه، فالـV هو K Q1 على R + +369 +00:29:27,200 --> 00:29:32,230 +سكبت واحد زي قدر Q2 على R سكبت اتنين، فقطتمام؟ و + +370 +00:29:32,230 --> 00:29:35,090 +روسيا هتجيب بصمتهم كيف نجيب على script واحد و لا + +371 +00:29:35,090 --> 00:29:37,550 +على script اتنين ولا لأ؟ سهل صراحة العمل، اذا + +372 +00:29:37,550 --> 00:29:41,810 +العملية سهلة عشان كده القضية سهلة جدا، طب يلا + +373 +00:29:41,810 --> 00:29:46,890 +نجيب، واحدة واحدة، هاذي؟ غريب هذا السؤال؟ فيش سؤال + +374 +00:29:46,890 --> 00:29:50,350 +منه؟ point of charges؟ يلا نجيب، طبعا بدل واحد و + +375 +00:29:50,350 --> 00:29:52,430 +اتنين حاطت ال plus و ال negative، يعني الموجب + +376 +00:29:52,430 --> 00:29:56,700 +والسالمالموجب طبعاً الـR السيفيكال كواردينيات زي + +377 +00:29:56,700 --> 00:29:59,200 +ما حاكت راشا R R hat أنا بدي أجيبها عن نقطة + +378 +00:29:59,200 --> 00:30:05,180 +عشوائية فR R hat هي بعض النقطة P R من الـZ Axis + +379 +00:30:05,180 --> 00:30:07,620 +حلو تلبقى كوم حاجة فيتا هي تحت السيفيكال + +380 +00:30:07,620 --> 00:30:11,760 +كواردينيات صح ولا لأ تحت السيفيكال كواردينيات طيب + +381 +00:30:11,760 --> 00:30:19,810 +الحمرة إحداثي تبعها D ع 2 باتجاه الـKوالزرجة ناقص + +382 +00:30:19,810 --> 00:30:24,410 +D على 2 باتجاه ال K صح ولا لأ؟ إذا هذا و هذا + +383 +00:30:24,410 --> 00:30:29,970 +الشطرين اللي عملتهم عشر مرات صلت بقدر أعملهم RR + +384 +00:30:29,970 --> 00:30:33,730 +hat ناقص ال A دي على 2 عادي بحوولها D على 2 بس + +385 +00:30:33,730 --> 00:30:38,780 +عشان ديش ضل أحط دي على 2الـ K والـ R تحولتها لـ + +386 +00:30:38,780 --> 00:30:43,580 +Cartesian Coordinates والتانية نفس العملية السالبة + +387 +00:30:43,580 --> 00:30:48,340 +اللي بتفرق هذه صارت ناقص ناقص فرصات زائد وعملتها + +388 +00:30:48,340 --> 00:30:56,070 +لما بدي جيب ال magnitudeهذا و هذا يعطيني Sine + +389 +00:30:56,070 --> 00:31:00,370 +تربيع الثيتا مع هذه ربحك و Sine تربيع الثيتا بتجي + +390 +00:31:00,370 --> 00:31:07,170 +عندى R تربيع زاد A تربيع ال A هي دي ع 2 زاد 2 A في + +391 +00:31:07,170 --> 00:31:11,850 +R و ال A دي ع 2 اتنين و اتنين بروحوا بصير هذه طبعا + +392 +00:31:11,850 --> 00:31:15,210 +ايش بيفرق ال negative و ال positive هنا فهذه + +393 +00:31:15,210 --> 00:31:20,250 +negative او positive تمام الان + +394 +00:31:21,340 --> 00:31:27,620 +هذه هي السرعة خلصت هذه النتيجة او بوضت محل هادي و + +395 +00:31:27,620 --> 00:31:33,500 +محل هادي تمام الان هذه نتيجة طبيعية مافيش فيها + +396 +00:31:33,500 --> 00:31:38,540 +مشكلة قالوا طيب انت انت بترجع ليه و بتمهد للطبيعة + +397 +00:31:38,540 --> 00:31:44,340 +ايش بده تكون طيب ايش المسافة بين الالكترون و + +398 +00:31:44,340 --> 00:31:49,360 +البروتون في ذرة الهيدروجينيا نسمع ايش بتساوياذكر + +399 +00:31:49,360 --> 00:31:53,960 +اذا كنت بتعرفيها المسافة أو bore radius ايش بيسوي + +400 +00:31:56,690 --> 00:32:06,490 +نُص أنجسترون أو 0.53 تحديدًا نُص أنجسترون يعني + +401 +00:32:06,490 --> 00:32:09,650 +بتنجس بالأنجسترون صح ولا لا؟ الانجسترون كبير ولا + +402 +00:32:09,650 --> 00:32:14,950 +صغير؟ صغير طيب أنا بدي أجيب المجال عند نقطة هذه + +403 +00:32:14,950 --> 00:32:18,930 +النقطة حتى لو بتجيسها بالملي متر الملي متر بالنسبة + +404 +00:32:18,930 --> 00:32:24,030 +للأنجسترون كبير كتير فبقدر أقول دائمًا طبيعيًا أن + +405 +00:32:24,030 --> 00:32:30,930 +الـR أكبر كتير من الـDالـD تحت الانجسترون، الـD هي + +406 +00:32:30,930 --> 00:32:34,130 +المسافة بين الإلكترون والبروتون أو المولوكيولوز + +407 +00:32:34,130 --> 00:32:39,710 +فدائما في الطبيعة بيقولك R أكبر كلمة من D، R أكبر + +408 +00:32:39,710 --> 00:32:41,990 +كلمة من D، ليه؟ لأنه لما شافوا هذه النتيجة قالوا + +409 +00:32:41,990 --> 00:32:44,250 +لو دي مابشحها، مين اللي يحفظها؟ ومين اللي يقول + +410 +00:32:44,250 --> 00:32:47,210 +لمين يحفظها؟ صح ولا لأ؟ قالوا بيجينا نلطفها وانت + +411 +00:32:47,210 --> 00:32:51,030 +قاعد ترجع شوي شوي للطبيعةلما جالوا هادي واحدة + +412 +00:32:51,030 --> 00:32:55,070 +كبيرة و واحدة صغيرة يقولوا اه احنا تعالوا سنة أولى + +413 +00:32:55,070 --> 00:32:58,570 +علمناهم ب Calculus B عشان ما تشترطوش من الرياضيات + +414 +00:32:58,570 --> 00:33:03,510 +Calculus B الـ Binomial theorem كيف انا اعمل فك + +415 +00:33:03,510 --> 00:33:08,530 +لأي Binomial أخدتوه أبو جيوه كنت اتذكر يقولت + +416 +00:33:08,530 --> 00:33:15,470 +اخدتوه تمام في النهاية زي ما حكينا عادة بنجيبsince + +417 +00:33:15,470 --> 00:33:22,170 +R much greater than D وهذا أمور طبيعية دائما تمام + +418 +00:33:22,170 --> 00:33:26,270 +إيش أكملت؟ قال لي رط فيلم المعادلة طلع واحدة على R + +419 +00:33:26,270 --> 00:33:29,350 +وصارت المعادلة هيك قال لي أنت بتقول هذه كبيرة وهذه + +420 +00:33:29,350 --> 00:33:32,670 +صغيرة صح؟ هذه بيك تتربح على الصغير لما تتربح على + +421 +00:33:32,670 --> 00:33:37,830 +بكبر ولا بصغير؟بظهر، صح؟ لأنه نص الشتربيعون رجعوا + +422 +00:33:37,830 --> 00:33:42,190 +وهذه الكبيرة، الخمسة هي الشتربيحة تكبر، إذن هذه + +423 +00:33:42,190 --> 00:33:46,890 +لما اتربع بصير صغيرة كتير، طب يلغيه، لغيته، صار + +424 +00:33:46,890 --> 00:33:49,970 +هي، جال هذه الـ Binomial Theory بيقول، Recalling + +425 +00:33:49,970 --> 00:33:54,490 +the Binomial Expansion اللي أخدته في Calculus B + +426 +00:33:54,490 --> 00:33:58,270 +طبعا لو حد يقول، أحفظه؟ لأ، لأعطيك لأ، ليش تحفظه؟ + +427 +00:33:59,270 --> 00:34:02,470 +طبعا هالجيت انتوا انتوا قاعدين رجل ع رجل هتاخد + +428 +00:34:02,470 --> 00:34:05,270 +معاكم ال laptop حطه binomial theorem بيجيكم 100 + +429 +00:34:05,270 --> 00:34:08,990 +ألف صيغة صح ولا لأ بس اكتبوا binomial theorem تيجي + +430 +00:34:08,990 --> 00:34:12,410 +هادىاللي زمان احنا كنا نضطر نروح على كتب الـ + +431 +00:34:12,410 --> 00:34:15,490 +Mathematical Physics عشان نجيبها فجيت الكتب لو حد + +432 +00:34:15,490 --> 00:34:19,170 +بصارت الغبارة كلها لأنه ما شاء الله الشيخ جوجل + +433 +00:34:19,170 --> 00:34:25,010 +كفانة وزيادة انه خلاص ساعة طول بتخش تجيب كتابك و + +434 +00:34:25,010 --> 00:34:27,810 +لا حادة و أسهل بدنا نقعد نقول اه وين في أي شبطة + +435 +00:34:27,810 --> 00:34:30,030 +روحها دي موجودة في أي صفحة تقعد ساعة تدور في + +436 +00:34:30,030 --> 00:34:33,850 +الكتاب لأ دي بتحطها جوجل بتجيك لحاله تمام؟ فهذه + +437 +00:34:33,850 --> 00:34:39,020 +احنا بنعطيكم إيها بمعنى أخر هذه طبعا بتعطيكم فكأي + +438 +00:34:39,020 --> 00:34:42,900 +معادلة أس ثلاثة أس عشرة أس نص أس خمسة على اتنين + +439 +00:34:42,900 --> 00:34:45,180 +فانتوا عليها كيف؟ هذه in general أخدتوها في + +440 +00:34:45,180 --> 00:34:47,080 +Calculus باه صح أنا بقول أخدتوها في Calculus باه + +441 +00:34:47,080 --> 00:34:50,820 +ولا لأ؟ أخدتوها صح تمام طبعا أخدناها في + +442 +00:34:50,820 --> 00:34:54,940 +الmathematical physics one أكيد هذه أنا ذاكرها + +443 +00:34:54,940 --> 00:34:58,180 +تمام أما ال Calculus باه شوية بس أنا ذاكر أنها + +444 +00:34:58,180 --> 00:35:02,620 +انعملت يعني لأن أيام Taylor وLaurent و ال binomial + +445 +00:35:02,620 --> 00:35:06,580 +expansion هذه انعملت طيبأيش هذي؟ بيقولي واحد زي + +446 +00:35:06,580 --> 00:35:11,040 +الـ X أُس M طب أنا إيش عندي؟ هاي واحد والـ X هي D + +447 +00:35:11,040 --> 00:35:16,600 +على R كوصين الفيتا والـ M هي السلب نص ولا لأ؟ اعمل + +448 +00:35:16,600 --> 00:35:20,040 +Expansion طلعت هذه اعمل Expansion طبعا بيقولي انت + +449 +00:35:20,040 --> 00:35:23,380 +حاطط نجط ليش؟ بقول الكلمات التانية بدي أحملهالأن + +450 +00:35:23,380 --> 00:35:26,020 +هادي بيصير تربيع وبعدين كده تكعيب وبعدين كده بيصر + +451 +00:35:26,020 --> 00:35:30,280 +أربعة فهادي أصلا صغيرة ربيحها بتصغر أكتر وبالتالي + +452 +00:35:30,280 --> 00:35:34,980 +رتب المعادلة بدل ما أنت مغلب حالك وعندك ترمين كبار + +453 +00:35:34,980 --> 00:35:39,820 +زي هدول هتاخد بس ترم هدا و ترم هدا و بس ترمين يعني + +454 +00:35:39,820 --> 00:35:46,140 +منهم فصارت عند المعادلة هادي صارت بس هيك حاطها قال + +455 +00:35:46,140 --> 00:35:51,180 +لي هي صاري الجهود شوف الجهود صار مثله مثله أحلى + +456 +00:35:51,900 --> 00:35:56,020 +أحلى بعدما كانت two terms هذا هو الـ Q دي كصين + +457 +00:35:56,020 --> 00:36:01,340 +الثيتا على R تربية إيه جالو شيها دي Q دي؟ جالو Q + +458 +00:36:01,340 --> 00:36:04,860 +واحدة من الشحنتين مش هم الشحنتين كانوا الـ Q واحدة + +459 +00:36:04,860 --> 00:36:09,240 +من الشحنتين الشي هذه كانت المسافة بينهم، صح؟ الـ Q + +460 +00:36:09,240 --> 00:36:13,700 +في المسافة بينهم اتفهموا واتفجوا إنهم يعطوها مصطلح + +461 +00:36:14,600 --> 00:36:19,060 +جالو هذه بيسميها الـ Dipole Moment Electric Dipole + +462 +00:36:19,060 --> 00:36:24,500 +Moment العزم تبع الثناء قطبي طبعا كلمة عزم بيجي + +463 +00:36:24,500 --> 00:36:27,360 +للبالي انه بده دور بقولكم اه مو حد دور بعد كده + +464 +00:36:27,360 --> 00:36:37,540 +تمام؟ اذا هذا بدهم يسموه P Cos θ مشكلة تبع الـ + +465 +00:36:37,540 --> 00:36:40,640 +spherical coordinatesمشي تحت الـ Spherical + +466 +00:36:40,640 --> 00:36:43,620 +Coordinates والـ Spherical Coordinates الـ θيتا، + +467 +00:36:43,620 --> 00:36:48,320 +إيش تعريفها؟ هي الزاوية بين R والـ Z Axis طب هذه + +468 +00:36:48,320 --> 00:36:52,540 +الـ D ما هي على الـ Z Axis وهذه الـ R حط هناك ودي + +469 +00:36:52,540 --> 00:36:57,400 +من قصان الـ θيتا تطلع قصان الـ θيتا تمام؟ فصارت + +470 +00:37:00,330 --> 00:37:10,470 +V بتساوي K P dot ال R على R² الشيء ال P هي الشحنة + +471 +00:37:10,470 --> 00:37:13,970 +في المسافة اللي بينهم وهذا صار تعريف من الصلاح + +472 +00:37:13,970 --> 00:37:18,630 +مشهور ال electric dipole moment بيساوي الشحنة زي + +473 +00:37:18,630 --> 00:37:22,950 +ال magnetic dipole moment سمعتوا فيه ال magnetic + +474 +00:37:22,950 --> 00:37:26,910 +dipole moment برضه مر علينا اللي بيساوي I في ال + +475 +00:37:26,910 --> 00:37:33,260 +area بعد MGP بتساوي QD and directed you from the + +476 +00:37:33,260 --> 00:37:35,880 +negative to the positive charge عشان ع الـ Z-axis + +477 +00:37:35,880 --> 00:37:43,000 +حسب تعريفه تمام؟ إذا انصاري الآن عندي four أضايبول + +478 +00:37:43,000 --> 00:37:51,060 +four أضايبول بتساوي K P dot ال R hat على R تربية + +479 +00:37:51,060 --> 00:37:58,940 +وهذه معاجلة هتمر عليكم بتنطف + +480 +00:37:58,940 --> 00:38:03,970 +السريد بتنطف ال atomicبتنط في الـ nuclear بتلاقوها + +481 +00:38:03,970 --> 00:38:06,930 +مشهورة دايما بتنط و مرة لو حتقولها كده بيجيبوها + +482 +00:38:06,930 --> 00:38:10,150 +هادي تمام، بنطلطولا إياها ليه؟ إيش؟ لإن هو بيقول + +483 +00:38:10,150 --> 00:38:12,850 +for i-dipole بيقولك هيش جهود بيصير و حط الجهود هو + +484 +00:38:12,850 --> 00:38:15,810 +و كأنه بيقول اتنين في اتنين بيساوي أربعة لإنه خلاص + +485 +00:38:15,810 --> 00:38:19,790 +الكل عارفها جهود for a-dipole تمام، أحكي من أنت و + +486 +00:38:19,790 --> 00:38:26,650 +أنت أحكي، أه يا هدا هدا، + +487 +00:38:26,650 --> 00:38:30,950 +فقيلي هذاإيه دُبط الـ B عوريش بتساوي؟ إيه دُبط الـ + +488 +00:38:30,950 --> 00:38:40,870 +B؟ فُك كده؟ فُك كده جيه؟ إيش الأرهات المجنونة بتبع + +489 +00:38:40,870 --> 00:38:43,950 +حاجة؟ + +490 +00:38:43,950 --> 00:38:47,810 +فيه؟ + +491 +00:38:47,810 --> 00:38:56,790 +جعداد؟ هذا هيالفيتا هي الزاوية بين P وR الـR with + +492 +00:38:56,790 --> 00:39:00,750 +P بتجاه الـZ فهي فيتا تبعتي اللي في الرسمة صح ولا + +493 +00:39:00,750 --> 00:39:03,870 +لأ فهي اكتبها هيك او اكتب cosine فيتا كم ما بديك + +494 +00:39:03,870 --> 00:39:06,930 +تحفظهاش يا هدى لا بنسيك تحفظكي يعني انا بقولها + +495 +00:39:06,930 --> 00:39:11,890 +مشهورة كتير ودائما بتتكرر زي ما حكت وي أب لكن برضه + +496 +00:39:11,890 --> 00:39:14,110 +انا مش معنى انكم تحفظوها يعني اطلاقا + +497 +00:39:19,930 --> 00:39:24,030 +The potential of a dipole at R is inversely + +498 +00:39:24,030 --> 00:39:29,130 +proportional to R يعني بتعتمد على R تربيع مش مشكلة + +499 +00:39:29,130 --> 00:39:35,630 +طيب، الأن بدي أجيب المجال الكهربائي جهود خلصته كيك + +500 +00:39:35,630 --> 00:39:38,030 +بدي أجيب لما أكون عندي جهود و بدي أجيب المجال؟ + +501 +00:39:41,210 --> 00:39:46,250 +مظبوط ولا لا؟ سالب دل ال V طيب الدل أنا بتعامل مع + +502 +00:39:46,250 --> 00:39:49,170 +spherical coordinates بدك تشحتنيها ولا لأ مش + +503 +00:39:49,170 --> 00:39:53,870 +هتفاجر من شحتها؟ بقولك هدا هي سالب دل ال V partial + +504 +00:39:53,870 --> 00:39:56,890 +V على partial R R hat 1 على R partial V على + +505 +00:39:56,890 --> 00:40:00,430 +partial θ θ hat نخس 1 على R sin θ partial V على + +506 +00:40:00,430 --> 00:40:04,890 +partial Phi باتجاه ال Phi hat هدواك فوكس 26 تعتمد + +507 +00:40:04,890 --> 00:40:12,390 +V على ال Phiالجود باعتمد على فاي؟ ايش هي عمكم؟ + +508 +00:40:12,390 --> 00:40:15,870 +تمام + +509 +00:40:15,870 --> 00:40:19,270 +اذا + +510 +00:40:19,270 --> 00:40:24,550 +ها دي zero صحيح ولا لا؟ يالا نشتق ها دي بالنسبة ل + +511 +00:40:24,550 --> 00:40:31,790 +R يا عزيزي، اشتقيها، نشتقها بالنسبة ل R الـ + +512 +00:40:31,790 --> 00:40:36,130 +B .. اشتقي ها دي إذا بدك، ها دي بي كوسين الفيتا + +513 +00:40:37,850 --> 00:40:42,770 +ماذا يجب أن أشتغل؟ R تربيع R سالب اتنين بيصير سالب + +514 +00:40:42,770 --> 00:40:53,270 +اتنين P في Cos على .. صحيح؟ هنا ماذا أقول؟ R hat + +515 +00:40:53,270 --> 00:41:02,010 +وP سالب تمام ناقص واحد على R ماذا يجب أن أشتغل + +516 +00:41:02,010 --> 00:41:05,310 +بالنسبة للثيتا؟ ماذا يجب أن أشتغلك في Cos الثيتا؟ + +517 +00:41:06,210 --> 00:41:12,090 +سالب صين إذا سالب بصين + +518 +00:41:12,090 --> 00:41:18,390 +الثيتا على R تربيع اللي صارت في كل هذه R تقريبا + +519 +00:41:18,390 --> 00:41:24,390 +صحيح ولا لا؟ عملها فعملناها بهذا خد اللي بدك إياه + +520 +00:41:24,390 --> 00:41:27,750 +اتنين هنا طلع فطلعت اتنين cosine ثيتا باتجاه ال R + +521 +00:41:27,750 --> 00:41:34,820 +زائد صين ثيتا باتجاه الثيتاثم انا كنت متأمل يبدو + +522 +00:41:34,820 --> 00:41:38,880 +انه مش بيقدرش ان اخلص اليوم فضايل موضوع بسيط ان + +523 +00:41:38,880 --> 00:41:42,140 +شاء الله بنخلصه يوم الأربعة عشان نبدأ ب chapter + +524 +00:41:42,140 --> 00:41:45,520 +أربعة و مع نهاية chapter أربعة بنحدد امتحانا + +525 +00:41:45,520 --> 00:41:47,920 +second midterm exam ان شاء الله + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w.srt new file mode 100644 index 0000000000000000000000000000000000000000..7e703e2a25262a4e3deb547ebde618b6c4a416f2 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w.srt @@ -0,0 +1,1957 @@ +1 +00:00:21,950 --> 00:00:25,750 +بسرعة نعمل الـ Boundary Conditions، نعيد اللي احنا + +2 +00:00:25,750 --> 00:00:31,230 +وصلنا له، الـ Boundary Conditions اللي بتكون موجودة + +3 +00:00:31,230 --> 00:00:37,190 +و بتحكم العلاقات الكهربائية، إذا كان المجال أو + +4 +00:00:37,190 --> 00:00:42,650 +الجهد between two regions along the boundary، + +5 +00:00:42,650 --> 00:00:46,330 +وبالتالي اتفقنا إن لو فيها عندنا two regions + +6 +00:00:46,330 --> 00:00:51,830 +separated by a boundary، the black line، وكنا في + +7 +00:00:51,830 --> 00:00:55,970 +عندي مجال كهربائي معين في المنطقة، وكنا بنشوف إيش + +8 +00:00:55,970 --> 00:01:01,960 +علاقة المجال الكهربائي hand و hand عند الحد، فقلنا + +9 +00:01:01,960 --> 00:01:05,300 +ما زال احنا بنحكي عن حد، بإمكاني استخدم قانون Gauss + +10 +00:01:05,300 --> 00:01:11,080 +قطعا بـ pill box، the red pill box، هناك لما جيت + +11 +00:01:11,080 --> 00:01:14,360 +طبقتها على اعتبار إني أنا على الـ boundary، وبالتالي + +12 +00:01:14,360 --> 00:01:17,980 +الـ height of the pill box is very small، negligible، + +13 +00:01:17,980 --> 00:01:21,800 +أو بالتالي بيكون عندي just two surfaces، لما عملنا + +14 +00:01:21,800 --> 00:01:24,300 +two surfaces، قلنا إيه؟ طلع إن + +15 +00:01:35,360 --> 00:01:39,460 +بالتالي بيصير في عندي إنّ + +16 +00:01:40,930 --> 00:01:45,650 +E1n - E2n = σ / ε₀، المضبوط إن الـ + +17 +00:01:45,650 --> 00:01:49,950 +Normal component of E is not continuous، الـ Normal + +18 +00:01:49,950 --> 00:01:54,530 +component of E is not continuous، و بيعتمد على الـ + +19 +00:01:54,530 --> 00:01:57,370 +σ، بمعنى آخر لو كانت الـ σ صفر بيكون + +20 +00:01:57,370 --> 00:01:58,890 +continuous، تابع + +21 +00:02:17,750 --> 00:02:23,590 +تمام، بعد كده قلنا لو بدي أجيب أنا line integral + +22 +00:02:23,590 --> 00:02:31,130 +for any loop، واختارت loop عبارة عن rectangular زي + +23 +00:02:31,130 --> 00:02:35,430 +ما احنا شايفينها، with four sides، و الـ vertical + +24 +00:02:35,430 --> 00:02:43,200 +sides are very small، وبالتالي صار في عندي إن E1.L1 + +25 +00:02:43,200 --> 00:02:47,980 ++ E2.L2 = 0، على اعتبار إن الـ line + +26 +00:02:47,980 --> 00:02:55,120 +integral ∮E.dL over any closed loop is zero، الـ L1 و + +27 +00:02:55,120 --> 00:02:59,160 +L2 مقارنة مع بعضها البعض، وبالتالي نجد أن الـ + +28 +00:02:59,160 --> 00:03:06,980 +الـ E هي دائما مستمرة، نجد أن الـ E هي دائما + +29 +00:03:06,980 --> 00:03:11,980 +مستمرة، جمعنا equations و حطيناهم بهذه الصيغة، + +30 +00:03:11,980 --> 00:03:18,780 +حطيناهم بهذه الصيغة، الآن الـ E عرفنا إيه؟ شرطه + +31 +00:03:18,780 --> 00:03:24,050 +كمصطلح، المصطلح طيب يا جماعة، الـ potential، الـ + +32 +00:03:24,050 --> 00:03:27,830 +Electric Potential، إيش بده يكون وضعه؟ قال لي خلينا + +33 +00:03:27,830 --> 00:03:31,090 +نشوف، نجيب الـ potential difference between two + +34 +00:03:31,090 --> 00:03:35,790 +points، الـ potential difference between two points، + +35 +00:03:35,790 --> 00:03:40,010 +تمام، + +36 +00:03:40,010 --> 00:03:45,090 +الـ point هادي و الـ point هادي، هادي one و هادي two، + +37 +00:03:45,090 --> 00:03:51,210 +لو بدي أجيب أنا فرق الجهد بين هدول النقطين، V1 - V2 = + +38 +00:03:51,210 --> 00:03:55,090 +∫E.dL from 1 to 2، وبما أن النقطتين قريبتين من بعض كتير معناته + +39 +00:03:55,090 --> 00:03:59,430 +التكامل هذا goes to zero، اذا، but since the + +40 +00:03:59,430 --> 00:04:03,250 +vertical side shrinks to zero، اتقلص الى الـ + +41 +00:04:03,250 --> 00:04:10,670 +zero، معناته V1 - V2 = 0، إذا دائما الـ potential is + +42 +00:04:10,670 --> 00:04:14,030 +continuous، الـ potential as a function is + +43 +00:04:14,030 --> 00:04:20,590 +a continuous function، هذا اللي احنا اخذناه، تمام، بس + +44 +00:04:20,590 --> 00:04:28,730 +نجمع، الآن أنت عندك E1n - E2n = σ / ε₀، + +45 +00:04:28,730 --> 00:04:35,410 +مظبوط ولا لأ؟ حلو، هل هذا القانون ممكن + +46 +00:04:35,410 --> 00:04:39,630 +مرات أستخدمه عشان أجيب σ؟ إيش بدي؟ بدي هذا و + +47 +00:04:39,630 --> 00:04:45,050 +هذا، طب أنا ما فيش عندي E، بدي أجيب V، في علاقة بين E + +48 +00:04:45,050 --> 00:04:46,050 +و V يا بنات؟ + +49 +00:04:50,080 --> 00:04:55,840 +ذاكرينها؟ طيب، من يجيب لي En؟ + +50 +00:04:55,840 --> 00:05:03,280 +لا، En من هنا على إيش؟ + +51 +00:05:03,280 --> 00:05:07,220 +مظبوط؟ + +52 +00:05:07,220 --> 00:05:09,460 +n، و هذه الـ n ممكن تكون r و ممكن تكون x و ممكن + +53 +00:05:09,460 --> 00:05:13,640 +تكون y و ممكن تكون z، صحيحة ولا لأ؟ تمام، بيقول + +54 +00:05:13,640 --> 00:05:18,720 +إنّ En = -∇V، إذا صار عندي + +55 +00:05:18,720 --> 00:05:25,080 +بدل هذه، بدي أحط سالب سالب، طلعت السالب هنا ∇V1 + +56 +00:05:25,080 --> 00:05:29,060 +- ∇V2 = -σ / ε₀، using + +57 +00:05:29,060 --> 00:05:32,840 +the fact that ∇V = ∂V/∂n، اذا انا ممكن اقول ∂V1/∂ + +58 +00:05:32,840 --> 00:05:36,120 +n - ∂V2/∂n = -σ / ε₀، إذا أنا ممكن أقول + +59 +00:05:36,120 --> 00:05:39,700 +∂V1/∂n - ∂V2/∂n = -σ / ε₀، + +60 +00:05:39,700 --> 00:05:45,180 +على ε₀، هذه المعادلة مرات بنستخدمها برضه + +61 +00:05:45,180 --> 00:05:48,410 +كـ condition، عادي، إن هذا كله حاليا نرجع لـ Chapter 3، + +62 +00:05:48,410 --> 00:05:52,610 +كله، وبالتالي مش مطلوب منكم الآن تشغلكم فيه كتير، + +63 +00:05:52,610 --> 00:05:55,930 +فيه، وأنا في هذا الـ chapter ما بجيبش أسئلة على الـ + +64 +00:05:55,930 --> 00:06:00,310 +boundary conditions، لأنه من آخر الـ chapter 1 يعني + +65 +00:06:00,310 --> 00:06:02,310 +بمعنى آخر، الـ boundary conditions مش هتدخل في + +66 +00:06:02,310 --> 00:06:06,660 +الامتحان، بس عشان أغشّكم يعني، تمام، كـ boundary + +67 +00:06:06,660 --> 00:06:09,140 +conditions، ده هو هذا مقدمة للـ chapter اللي وراه، + +68 +00:06:09,140 --> 00:06:13,400 +ومنحاجين هنيجي فيه بكل التفاصيل، يعني هنستخدمه شوية + +69 +00:06:13,400 --> 00:06:17,440 +قعدنا، لكن في النهاية استخداماته الحقيقية هتيجي في + +70 +00:06:17,440 --> 00:06:24,700 +chapter تلاتة، أكيد، في خطة + +71 +00:06:24,700 --> 00:06:32,300 +مطبوعة بيكون، تمام، work and energy، work and energy، + +72 +00:06:32,300 --> 00:06:39,200 +بشوفها آخر موضوع مهمّ في هذا الـ chapter، هو الـ work + +73 +00:06:39,200 --> 00:06:44,680 +and energy، work and energy، طبعا عشان بس احنا مع + +74 +00:06:44,680 --> 00:06:48,120 +بعض، نشوف إيش مفهوم الـ work و الـ energy و ليه + +75 +00:06:48,120 --> 00:06:53,340 +جامعوا إن بيكونوا ملازمين لبعض، عشان نركز + +76 +00:06:53,340 --> 00:06:57,840 +معايا، إيش اللي بيصير؟ حاجة هذه بدي أرفعها فوق، إيش + +77 +00:06:57,840 --> 00:07:06,110 +بتلزم؟ بدي شغل صح؟ شغل إيدي، طيب احنا قانون عام + +78 +00:07:06,110 --> 00:07:09,830 +universal، بيسموه قانون كوني، اللي هو قانون حفظ + +79 +00:07:09,830 --> 00:07:13,230 +الطاقة، صحيح ولا لأ؟ طب الشغل اللي أنا بذلته وين + +80 +00:07:13,230 --> 00:07:18,390 +راح؟ تحول لطاقة تخزنت، potential energy، طبعا + +81 +00:07:18,390 --> 00:07:21,590 +كلمة potential يعني كامن، يعني مخزن، فـ potential + +82 +00:07:21,590 --> 00:07:29,640 +energy، حلو، لو هذه هيك عملتها، هي نُقلت في شغل أنبذل + +83 +00:07:29,640 --> 00:07:36,060 +ضدّ الجاذبية؟ لأ، إذا لابد... أنا ليش بذلت شغل؟ بذلت + +84 +00:07:36,060 --> 00:07:40,860 +شغل لأنه فيه قوة عكس الإزاحة، مظبوطة، له وبالتالي + +85 +00:07:40,860 --> 00:07:47,500 +لازم أنا أساعد هذا الـ object عشان يطلع من + +86 +00:07:47,500 --> 00:07:52,180 +نقطة إلى نقطة، نفس المفهوم بيجي لوين؟ بيجي للشحنات، + +87 +00:07:52,180 --> 00:07:59,110 +أنا عندي شحنة موجودة في مجال كهربائي، موجودة في مجال + +88 +00:07:59,110 --> 00:08:02,290 +الكهربائي، يعني في عليها قوة زي الجاذبية الأرضية، في + +89 +00:08:02,290 --> 00:08:07,110 +قوة، لما بدي أحركها بدي أبذل شغل، هذا الشغل لما يبذل + +90 +00:08:07,110 --> 00:08:11,350 +بدي يتخزن جوا على هيئة طاقة، واضحة؟ طيب احنا في + +91 +00:08:11,350 --> 00:08:14,190 +النهاية كيف أنا بشحن جسم بصورة عامة؟ إيش المعلومات + +92 +00:08:14,190 --> 00:08:19,410 +اللي عندكم؟ كيف تشحن أجسام؟ كيف أي جسم بتخليه موجب + +93 +00:08:19,410 --> 00:08:23,930 +أو سالب؟ بالتأثير أسهل، + +94 +00:08:26,770 --> 00:08:29,570 +طيب، هو التوصيل والتأثير، وإيش بيصير فيه في الآخر؟ + +95 +00:08:29,570 --> 00:08:34,610 +إيش بيصير؟ في الآخر، يعني المحصلة، عشان أخلي كورة + +96 +00:08:34,610 --> 00:08:39,370 +النحاس موجبة، بقى إيش أسوي؟ بيبقى جميل في الآخر و + +97 +00:08:39,370 --> 00:08:42,790 +فرق الجهود، ليش بدي أعمله؟ الحاجة هي كورة النحاس + +98 +00:08:42,790 --> 00:08:48,570 +بطبيعتها مالها؟ متعادلة، ليش؟ عشان عدد الإلكترونات + +99 +00:08:48,570 --> 00:08:54,010 +بيساوي عدد البروتونات، صح؟ طيب، نزيدها إلكترونات، نَخُدّ + +100 +00:08:54,010 --> 00:08:57,570 +منها بروتونات، إلكترونات، سنموّ جبهة، إذا عملية + +101 +00:08:57,570 --> 00:09:00,770 +الشحن هي نقل شحنات، بأخذ أو بُوَدّي، إذن هي بنقل + +102 +00:09:00,770 --> 00:09:03,810 +شحنات، وكل اللي حكيناه أنتو كله عشان أساعد في نقل + +103 +00:09:03,810 --> 00:09:08,390 +الشحنات، لأ، عشان أنقل شحنة، بالزمن شغل ولا لأ؟ + +104 +00:09:08,390 --> 00:09:12,870 +بالزمن شغل، هذا الشغل وين بيتخزن؟ جوة الجسم + +105 +00:09:12,870 --> 00:09:18,810 +المشحون، إذا كل جسم مشحون جواه طاقة، لأنه أنا عشان + +106 +00:09:18,810 --> 00:09:22,910 +خليته مشحون، نقلت شحنات لإما منه أو إليه، صح ولا + +107 +00:09:22,910 --> 00:09:30,520 +لأ؟ تمام، بيقول لي the work required to bring a test + +108 +00:09:30,520 --> 00:09:34,740 +charge capital Q from point A to B، كيف بدي أجيبها؟ + +109 +00:09:34,740 --> 00:09:38,240 +بقول له احنا الشغل كنا حافظينه classic، بتاخدوا + +110 +00:09:38,240 --> 00:09:43,840 +classic، قاعدة، صح ولا لأ؟ الـ work = ∫F.dL، + +111 +00:09:43,840 --> 00:09:48,260 +صح؟ طيب، هذي F classic في الكهربا بتساوي Q في الـ E، + +112 +00:09:48,260 --> 00:09:55,840 +مظبوط ولا لأ؟ F = Q في الـ E، طيب، هذا ما هو عبارة + +113 +00:09:55,840 --> 00:10:00,860 +عن تكامل من A لـ B، هو فرق الجهد بين B و A، مظبوط ولا + +114 +00:10:00,860 --> 00:10:04,820 +لأ؟ إذا معناته الشغل اللازم عشان أنقل شحنة بين + +115 +00:10:04,820 --> 00:10:07,960 +نقطتين بيساوي الشحنة المنقولة في فرق الجهد بين + +116 +00:10:07,960 --> 00:10:14,930 +النقطتين، تمام؟ حلو، العمل يتطلب أن يجلب تجارب محاولة + +117 +00:10:14,930 --> 00:10:19,670 +capital Q من نقطة infinity إلى R، هدول النقطتين، طب لو + +118 +00:10:19,670 --> 00:10:23,350 +كانت إحدى النقطتين infinity، يعني النقطة A infinity، + +119 +00:10:23,350 --> 00:10:27,730 +النقطة A infinity، قد ايش جهد infinity؟ Zero، إذاً + +120 +00:10:27,730 --> 00:10:31,270 +بيكون الشغل عبارة عن الـ Q في جهد النقطة التي تكون + +121 +00:10:31,270 --> 00:10:36,850 +عندها الشحنة، إذاً الشغل المبذول لنقل الشحنة من + +122 +00:10:36,850 --> 00:10:40,590 +النقطة من الما لا نهاية لنقطة بيساوي الشحنة + +123 +00:10:40,590 --> 00:10:44,190 +المنقولة في جهد النقطة، تمام؟ هذا اخذناه في الفيزياء بقى، + +124 +00:10:44,190 --> 00:10:54,810 +طيب، الآن أريد أن أعمل system فيه لوحة فارغة، لا + +125 +00:10:54,810 --> 00:11:00,440 +يوجد شحنة، بدي أحطّ لي عشر شحنات على اللوح، عشر شحنات + +126 +00:11:00,440 --> 00:11:03,600 +مختلفة، عندي system متكون من عشر شحنات، مظبوط ولا لأ؟ + +127 +00:11:03,600 --> 00:11:07,860 +يعني الـ system مشحون، بدي أشوف الطاقة اللي بتتخزن + +128 +00:11:07,860 --> 00:11:10,920 +جوا، إيش بيساوي؟ كيف بدي أعرف الطاقة اللي جوا، قد ايش + +129 +00:11:10,920 --> 00:11:14,440 +بيساوي؟ بقول لي شوف لي أنت قد ايش بذلت شغل عشان تحط + +130 +00:11:14,440 --> 00:11:18,100 +العشرة هدول، شغلك اللي بذلته هو اللي بيتخزن جوا، صح + +131 +00:11:18,100 --> 00:11:22,540 +ولا لأ؟ طيب، نجي نشوف كيف بتساوي؟ بقول لي let us + +132 +00:11:22,540 --> 00:11:30,130 +calculate، العمل المطلوب عشان تجمع مجموعة من + +133 +00:11:30,130 --> 00:11:34,550 +الـ point charges، كيف؟ + +134 +00:11:34,550 --> 00:11:38,530 +By bringing them one by one from infinity، اعتبر إن + +135 +00:11:38,530 --> 00:11:40,950 +في عندك مخزن في الـ infinity فيه شحنات، دلوقت ده + +136 +00:11:40,950 --> 00:11:46,140 +بتجيب واحدة واحدة، وكل واحدة بتجيبها بتحسب شغلها، قد ايش + +137 +00:11:46,140 --> 00:11:51,340 +بدل الشغل؟ جبت عشر شحنات، بدلت عشر شغل، مظبوط؟ + +138 +00:11:51,340 --> 00:11:55,520 +الشغل الكلي، شغل، scalar، قيمة موجبة، هذا كل الشغل + +139 +00:11:55,520 --> 00:12:01,840 +هو الطاقة اللي بتتخزن، مش هيك اتفقنا؟ حلو، الآن؟ + +140 +00:12:01,840 --> 00:12:07,920 +الآن شوفوا، عادي، الحاجة اللوح فيه شحنات؟ مش فيه + +141 +00:12:07,920 --> 00:12:10,100 +شحنات، اللوح مش فيه؟ + +142 +00:12:16,000 --> 00:12:21,040 +هذه نقطة، تمام؟ ما فيش حوليكم ولا شحنة؟ قد ايش جهد + +143 +00:12:21,040 --> 00:12:26,060 +النقطة هذه؟ برافو، مظبوط؟ ما فيش جهد؟ بقول إن أنا + +144 +00:12:26,060 --> 00:12:30,060 +بدي أنقل شحنة من الما لا نهاية للنقطة هذه، الشغل + +145 +00:12:30,060 --> 00:12:33,560 +المبذول بيساوي الشحنة المنقولة في جهد، فيه واحد، فيه + +146 +00:12:33,560 --> 00:12:35,640 +جهد عند النقطة هذه، قد ايش جهد عند هذه النقطة هذه؟ + +147 +00:12:35,640 --> 00:12:40,240 +إذن، أول شحنة ببدأ الشغل عشان أجيبها؟ لأ، زي ما + +148 +00:12:40,240 --> 00:12:43,970 +بتقول معايا، بشينها، أفقيين، أبدأ الشغل، تمام؟ إذا + +149 +00:12:43,970 --> 00:12:49,930 +بيقول لي now no work is required to place the first + +150 +00:12:49,930 --> 00:12:55,690 +charge Q1 at a given position because there is no + +151 +00:12:55,690 --> 00:12:59,710 +electric potential at that position، لأن بيقول لي W + +152 +00:12:59,710 --> 00:13:06,430 += Q في V، ده إيه؟ أخبرني، بطبقه أنا V كانت Zero و + +153 +00:13:06,430 --> 00:13:10,710 +Q، Q واحد، و Q واحد في Zero، ما هي قيمة واحد؟ Zero، + +154 +00:13:10,710 --> 00:13:11,890 +تمام؟ + +155 +00:13:14,090 --> 00:13:22,550 +الآن بدي أجيب شحنة هنا Q2، مفهوم؟ الشغل بيساوي Q2 في + +156 +00:13:22,550 --> 00:13:27,330 +إيه؟ في جهد عند الموضع هذه، في جهد؟ الجهد بيساوي + +157 +00:13:27,330 --> 00:13:34,530 +kQ1 / r12، ولا لأ؟ بتعتبر هذه المسافة r12، + +158 +00:13:34,530 --> 00:13:43,330 +النحن، فهلو ده، بقول إنّ work الثانية بيساوي Q2 في V + +159 +00:13:43,330 --> 00:13:51,330 +اللي جاية من واحد، هذه V، نقص بالواحد، صح؟ كتش هاد، + +160 +00:13:51,330 --> 00:13:57,310 +يتنقص من هنا، بيديني kQ1 / r12، و + +161 +00:13:57,310 --> 00:14:01,210 +هاد كتنين، ضربني + +162 +00:14:05,520 --> 00:14:11,460 +مش V1، V اللي جاية من الواحد الـ Zero، هذه V1 يعني V + +163 +00:14:11,460 --> 00:14:17,720 +اللي جاية من الواحد، جمعها بـ Q1، أما هذه كذا بتقول + +164 +00:14:17,720 --> 00:14:22,640 +V، الفرق هو الـ Zero، فهذه الواحد هنا يعني فيها V + +165 +00:14:22,640 --> 00:14:32,180 +اللي جاية من Q1، تمام، إذا بيقول لي Q2 حطيتها الآن، بدي + +166 +00:14:32,180 --> 00:14:33,140 +أجيب + +167 +00:14:36,110 --> 00:14:44,170 +مش واحدة هناك؟ Q3، بمعنى آخر إنه المفروض، باب + +168 +00:14:44,170 --> 00:14:49,890 +الـ W3 بيساوي Q3 في جهد عند نقطة هذين + +169 +00:14:49,890 --> 00:14:54,350 +هذين، الجهد من وين جاي؟ من واحد واثنين، إذا V + +170 +00:14:54,350 --> 00:14: + +223 +00:18:54,480 --> 00:18:56,640 +كده كده كده كده كده كده + +224 +00:19:02,660 --> 00:19:12,560 +و1j زائد الـ summation للـ j بيوجي على R2j + +225 +00:19:12,560 --> 00:19:17,640 +وهكذا بمشي تمام؟ فهمتوا عليها كيف يا بنات؟ هالجدي + +226 +00:19:17,640 --> 00:19:23,400 +تطلعش بالجهاد بيفك هذه، اشتي ثابتها دي واحد، لكن الـ + +227 +00:19:23,400 --> 00:19:29,720 +j من أكبر من I، يعني أكبر من واحد، أكبر من اتنين + +228 +00:19:30,920 --> 00:19:35,640 +واحد، اتنين، واحد، تلاتة، واحد، أربعة، واحد، خمسة، لا + +229 +00:19:35,640 --> 00:19:40,140 +شضا عندك مية. إذا هذا الكل كله بيجي هنا اتنين، إيش + +230 +00:19:40,140 --> 00:19:44,140 +وراها؟ تلاتة، اتنين، تلاتة، اتنين، أربعة، اتنين، + +231 +00:19:44,140 --> 00:19:48,880 +خمسة عشان الشرق هذا. فلازم تكون هذه أكبر من هذه. + +232 +00:19:49,200 --> 00:19:53,280 +يعني هذه لازم تبدأ من تلاتة، وهذه لازم تبدأ من + +233 +00:19:53,280 --> 00:19:57,780 +اتنين. وهكذا بمشي. فهمتوا عليا كيف؟ وهكذا من فوق. + +234 +00:20:11,080 --> 00:20:15,800 +طيب، قال لي: طيب هو أنت هذه الشرط هيغلبني لو بدأت أعمل + +235 +00:20:15,800 --> 00:20:20,020 +تكامل أو حول التكامل، هيغلبني لو جبت الشرط + +236 +00:20:20,020 --> 00:20:24,040 +إيش ممكن عندك فرق؟ قال لي: ولا شيء، واحد، اتنين، و اتنين + +237 +00:20:24,040 --> 00:20:27,400 +واحد، واحد، تلاتة، تلاتة، واحد، واحد، أربعة، وأربعة، واحد + +238 +00:20:27,400 --> 00:20:31,280 +مضبوط، يعني طيب، يعني إيش الشيء قد ضعف ده؟ سبعة، اتنين + +239 +00:20:31,280 --> 00:20:38,980 +وخلصنا تمام، فإيش بتقول لي بعد ما عملت هذا؟ قال لي: هذا + +240 +00:20:38,980 --> 00:20:44,630 +الشرط اللي هيغلبك جسمها 2 وجيب الشرق بس.. مستحيل + +241 +00:20:44,630 --> 00:20:48,830 +يكون عندك I بتساوي J، مضبوط ولا لأ؟ I لا تساوي J + +242 +00:20:48,830 --> 00:20:51,010 +لأنه ما فيش عندك واحد، واحد، اتنين، اتنين، تلاتة، تلاتة + +243 +00:20:51,010 --> 00:20:55,170 +أربعة، أربعة، بس أنت جبت الشرق هذا، يعني على الـ top + +244 +00:20:55,170 --> 00:20:57,670 +يكون فيه واحد، تلاتة، تلاتة، واحد، واحد، أربعة، وأربعة + +245 +00:20:57,670 --> 00:21:01,010 +واحد، اتنين، تلاتة، اتنين، اتنين، اتنين، صح؟ الـ الـ + +246 +00:21:01,010 --> 00:21:05,590 +الـ الكلمات يجب أن تكون عشرة وعشرين، جسمها 2 بيجيب + +247 +00:21:05,590 --> 00:21:15,310 +عشرة، خلصنا تمام، هذا.. هذا omega أو w وهذا يتساوى + +248 +00:21:15,310 --> 00:21:19,710 +أن هذه ما كان في وصفها فيها ثمة عكسية، طالة حمص و + +249 +00:21:19,710 --> 00:21:24,330 +ردعنا هذه أربعة باي ابسل نونة، وهذه Qi وهذه QG طبعاً + +250 +00:21:24,330 --> 00:21:32,570 +هذا شو هذا؟ هذا جوجل، هذا جوجل كيك يو علاء، هذا جوجل + +251 +00:21:33,100 --> 00:21:39,060 +هذا اللي طبعاً عملته أنا، وقلت عنه V18، بظبط أو لا + +252 +00:21:39,060 --> 00:21:44,760 +هذا الشغل، إذا معناته صار في عندك أنت الشغل بيساوي + +253 +00:21:44,760 --> 00:21:53,760 +نص Q في جهود، وخلصنا، نص Q في جهود، تمام، كل هذا عشان + +254 +00:21:53,760 --> 00:21:56,840 +أقول أن أنا هذه المعادلة أنا بعمل summation، أنا + +255 +00:21:56,840 --> 00:22:00,620 +بعمل دكارة، أنا أفضل اسكلت باعت continuous، أقول لك + +256 +00:22:00,620 --> 00:22:09,270 +هذه بسيطة، اشتري QRDQ والـ summation، والـ integration، والـ VV + +257 +00:22:09,270 --> 00:22:14,590 +مظبوط؟ إذا معناته بيقول الـ energy of continuous + +258 +00:22:14,590 --> 00:22:18,490 +charge distribution، لو كان عندي continuous charge + +259 +00:22:18,490 --> 00:22:22,630 +distribution for a continuous charge density + +260 +00:22:22,630 --> 00:22:29,890 +equation becomes، بدل QR صارت DQ، وبدل V ما هي V + +261 +00:22:29,890 --> 00:22:35,920 +والنص صار أكبر، ونصّ قال لأنه ديتا لا سيجما دي إيه + +262 +00:22:35,920 --> 00:22:41,900 +لنبدا دي إيه، كلنا بنعرفه، حلو، هاي قانون جديد، إذا + +263 +00:22:41,900 --> 00:22:46,080 +صار في عندي القانون هذا، أن الـ work أو الـ energy + +264 +00:22:46,080 --> 00:22:57,900 +سواء نص تكامل DQV of R، طيب؟ + +265 +00:22:57,900 --> 00:23:01,480 +where the integral is to be performed over the + +266 +00:23:01,480 --> 00:23:04,550 +charge distribution، وأنت كما بيقول أننا نعمله على + +267 +00:23:04,550 --> 00:23:11,850 +charge، لأنه أصلاً DQ، تمام، بدنا نشوف هناك حاجة قالت + +268 +00:23:11,850 --> 00:23:15,030 +طيب، تعرف أن دول دقطة الـ E بالسبب رو ع الأبسل نوت + +269 +00:23:15,030 --> 00:23:20,370 +قارون، إيش هذا يسمينا هذا؟ الـ differential form of + +270 +00:23:20,370 --> 00:23:25,790 +Gauss's law، حلو، تقدر هذه رو تعوض عنها ابسل نوت في + +271 +00:23:25,790 --> 00:23:30,350 +دقطة الـ E ولا لا؟ اه، مش هذه رو، وهذه رو charge + +272 +00:23:30,350 --> 00:23:37,820 +density ومتساوى وفي إبسلون نوت طبعاً بره على two و + +273 +00:23:37,820 --> 00:23:45,780 +بدل رو حط دي، هادي هي هالي، هو هلأ وهو هالي مع + +274 +00:23:45,780 --> 00:23:54,540 +الهالي، مضبوط ولا لأ؟ طيب، دي بدل إيه؟ وفي عندك فيه + +275 +00:23:54,540 --> 00:23:57,840 +احنا بقعدوا نخبصوا في الرياضيات شوية، مش بتطلع + +276 +00:23:57,840 --> 00:24:01,520 +معاهم، جالوا + +277 +00:24:02,590 --> 00:24:08,210 +تفاضل حاصل الضرب، سمعتوا فيه؟ اه، سمعنا فيه، بيساوي + +278 +00:24:08,210 --> 00:24:12,850 +الأول في مشتق التاني زائد مشتق الأول في التاني + +279 +00:24:12,850 --> 00:24:18,970 +حلو، جال خل الأول والتاني واحد في واحد، دي صار الأول + +280 +00:24:18,970 --> 00:24:23,210 +في مشتق التاني زائد التاني في مشتق الأول، دي + +281 +00:24:23,210 --> 00:24:28,570 +معناته هذه وإيه؟ + +282 +00:24:28,570 --> 00:24:28,790 +هي + +283 +00:24:33,220 --> 00:24:38,300 +ماذا يعني؟ هذه بتساوي؟ بتساوي هذه ناقص هذه، صحيح؟ + +284 +00:24:38,300 --> 00:24:42,980 +تهتم.. using the divergence theorem and noting + +285 +00:24:42,980 --> 00:24:48,700 +that دليل V بتساوي سالب E، أول واحدة، واحدة، جالي هذه + +286 +00:24:48,700 --> 00:24:54,740 +بتساوي هذه ناقص هذه، فصار عندي دليل ضد الـ E في الـ V + +287 +00:24:54,740 --> 00:24:58,140 +بتساوي دليل + +288 +00:25:04,340 --> 00:25:09,920 +Dot دل الـ V، مش هتقرأ هذه ساوي هذه ناقص هذه، صح ولا + +289 +00:25:09,920 --> 00:25:16,800 +لأ، هالجيل جالي، هذه دل الـ V مش بيساوي E بالثالث، مش + +290 +00:25:16,800 --> 00:25:24,860 +دل الـ V ثالث E، يعني هذه ثالث ساوي دل Dot V E plus + +291 +00:25:24,860 --> 00:25:28,940 +E تلمية، يعني E ناقص وناقص ثالث plus + +292 +00:25:33,130 --> 00:25:39,150 +قال: إذا الـ work بتساوي بدل + +293 +00:25:39,150 --> 00:25:47,250 +اللي احنا عاملينه، صارت + +294 +00:25:47,250 --> 00:25:52,510 +دلق ضبط VE plus + +295 +00:25:52,510 --> 00:25:57,970 +E تربيع دي تاو، طبعاً أبسلون نوت، فصارت بهذه الكيفية + +296 +00:26:05,930 --> 00:26:11,030 +هذه مكتوبة هنا، هذه + +297 +00:26:11,030 --> 00:26:17,050 +كانت تكامل الفوريو، كانت dil dot ve، صح؟ قبل هذه، إيش + +298 +00:26:17,050 --> 00:26:22,890 +كانت تقول؟ كانت مكتوبة، كانت dil dot ve details، صح + +299 +00:26:22,890 --> 00:26:26,270 +ولا لأ؟ كنت أكملها، دي already مصحوبة، أنا بقعد آخذ + +300 +00:26:26,270 --> 00:26:29,210 +divergence، أضربهم في بعض، أجيب divergence، أتكفّف + +301 +00:26:29,210 --> 00:26:33,670 +في حاجة ده هوياها اسمها الـ divergence theorem، صح + +302 +00:26:33,670 --> 00:26:37,580 +ولا لأ؟ رجعنا لشكلِة واحدة، عشان كده أخذنا الـ + +303 +00:26:37,580 --> 00:26:40,880 +divergence theorem، قال: إن الـ divergence theorem + +304 +00:26:40,880 --> 00:26:45,520 +بتحول تكامل الـ volume على الـ divergence، الـ surface + +305 +00:26:45,520 --> 00:26:50,300 +integrals، صح؟ قال: يا حلو، if a body كيك كده بتحط + +306 +00:26:50,300 --> 00:26:56,980 +V أسهل، أسهل إيه، شرط مغلقاً؟ قال: لو كان الـ volume + +307 +00:26:56,980 --> 00:27:04,420 +تبعك كل space، كل space، وين صبحك؟ وين؟ يعني عند أي + +308 +00:27:04,420 --> 00:27:10,780 +من مختار؟ طيب، على الخارج، كرة، ده مش محيط، سطحك + +309 +00:27:10,780 --> 00:27:14,580 +المحيط ده دائر، اه، كده لما تقول الخارج ما عندك سطح، + +310 +00:27:14,580 --> 00:27:21,280 +فأنت تقول كرة، الكرة، كل space، وين سطحك؟ وين سطحك؟ + +311 +00:27:21,280 --> 00:27:25,140 +ما هو هنا؟ وين؟ وين موجود؟ لما أقول كل space، يعني + +312 +00:27:25,140 --> 00:27:29,880 +وين؟ هنا، أوليجي الـ.. الجامعة؟ عند المدرسة + +313 +00:27:29,880 --> 00:27:38,210 +الأخيرة؟ صح؟ إيه هو التكامل يا عزيزي؟ كمية من المن + +314 +00:27:38,210 --> 00:27:48,910 +نهاية؟ Zero، أو لا تكامل؟ لو أنا بدي أكامل حجم، بدي + +315 +00:27:48,910 --> 00:27:52,870 +أكامل من الـ Zero للمنهاية، صح؟ عشان كل ما هو + +316 +00:27:52,870 --> 00:27:57,330 +الحجم الشخصي الـ V، تـdify دي R، صح؟ الـ R نيونا و M + +317 +00:27:57,330 --> 00:28:01,450 +تتغير من صفر للمنهاية، وأنا ماشي من الصفر V تكون + +318 +00:28:01,450 --> 00:28:04,970 +الـ Zero، إيه الحقيقة؟ بضلني أجمع V و E، بضلني أجمع + +319 +00:28:04,970 --> 00:28:08,210 +أجمع، لكن لما أكون أنا على السطح، لما أكون على الـ + +320 +00:28:08,210 --> 00:28:10,310 +surface، أنا أقعد في المنهاية، وأنا مش في المن + +321 +00:28:10,310 --> 00:28:13,770 +النهاية، أرث تقعد في المنهاية، و V عند المن + +322 +00:28:13,770 --> 00:28:18,370 +النهاية، و E عند المنهاية Zero، بيقول لي: if the + +323 +00:28:18,370 --> 00:28:22,350 +integral is to be performed over all the space، إذا + +324 +00:28:22,350 --> 00:28:26,160 +بحتعمل تكامل على كل space، the first integral + +325 +00:28:26,160 --> 00:28:31,060 +vanished، ليش؟ بيقول اللي قاله إيه؟ goes to zero as + +326 +00:28:31,060 --> 00:28:35,840 +r goes to ملا نهاية، أنت في ملا نهاية وهي روعة الـ + +327 +00:28:35,840 --> 00:28:39,800 +divergence theorem، تكامل كامل، بدل ما تقعد سنين و + +328 +00:28:39,800 --> 00:28:45,340 +تتحلفي، شرطة، تقول روح، طبعاً بدل ما تحسب وتقعد + +329 +00:28:45,340 --> 00:28:48,740 +صفحتين، تلاتة تحسب وبيطلع عقله Zero، من الأول أنت + +330 +00:28:48,740 --> 00:28:53,500 +تطبق النظرية بيطلع معاه Zero، تمت أي صفقة؟ + +331 +00:28:56,230 --> 00:29:03,010 +إذا صار هذا، روح إيه، طبعاً إيه دي؟ خليها بتساوي نص + +332 +00:29:03,010 --> 00:29:10,150 +تكامل إيه؟ تربيع، detail، طلعوا + +333 +00:29:10,150 --> 00:29:16,090 +إيه الفرق ما بين هذا وما بين هذا؟ هذا DQ بتكمله + +334 +00:29:16,090 --> 00:29:22,030 +على DQ، يعني بتكمله على وين فيه شحنات، هذا شرطه + +335 +00:29:22,030 --> 00:29:26,790 +اتكمله على كل space، وإلا كان ما راحتش هذا، صحيح ولا + +336 +00:29:26,790 --> 00:29:32,570 +لا؟ إذًا هذا شرطه لازم يكون التكامل على كل الـ + +337 +00:29:32,570 --> 00:29:38,930 +space، تلعبش كده بقى هنا، over all the space، over + +338 +00:29:38,930 --> 00:29:43,470 +all the space، يعني بستخدم هذا القانون لكن تقوله على + +339 +00:29:43,470 --> 00:29:46,730 +كل space، إذا هذا overall الـ space، وهذا ع الـ DQ، + +340 +00:29:46,730 --> 00:29:50,310 +مهم ضيق، ع الشحنة، يعني لما يكون في عندي أنا كرة + +341 +00:29:50,310 --> 00:29:54,030 +هي المشحونة، بقول نسفل نسخة الكرة، بعد كده ما فيش + +342 +00:29:54,030 --> 00:29:57,430 +شيء، لما بدأت تستخدم هذه، يعني المفروض أن أنا عندي + +343 +00:29:57,430 --> 00:30:00,350 +كرة مشحونة، هاي الكرة، هاي كلها شحنات + +344 +00:30:03,890 --> 00:30:09,850 +طبعاً لما بدأت آجي على هذه، دي تاو، وهذه دي + +345 +00:30:09,850 --> 00:30:13,170 +تاو، وهذه دي تاو، إيش بتفرق؟ دي تاو هي عبارة عن أكتر + +346 +00:30:13,170 --> 00:30:16,130 +بي عصان دي تا دي دي تا دي تا دي تا دي تا دي تا دي + +347 +00:30:16,130 --> 00:30:20,570 +تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +348 +00:30:20,570 --> 00:30:21,030 +دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +349 +00:30:21,030 --> 00:30:25,950 +دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +350 +00:30:25,950 --> 00:30:28,730 +دي تا + +351 +00:30:31,100 --> 00:30:36,220 +ولو عندك نص كرة، ثيتا هنا من صفر لـ باي على اثنين، لكن + +352 +00:30:36,220 --> 00:30:41,020 +هنا من صفر لـ باي، لأن كامل هاي الفرق بين الـ two + +353 +00:30:41,020 --> 00:30:45,420 +equations، واحدة أنت بتكمّلها على الـ volume، على الـ + +354 +00:30:45,420 --> 00:30:49,860 +charge distribution، وواحدة you have to perform the + +355 +00:30:49,860 --> 00:30:53,580 +integral over all the space، يعني هو شرط النظرية + +356 +00:30:53,580 --> 00:30:58,980 +وأنت قاعد تشتغل، وطلعت المعادلة تماماً، بس نصّها + +357 +00:30:58,980 --> 00:31:00,140 +عندي أنا قانونين + +358 +00:31:05,160 --> 00:31:08,240 +وأحياناً بأجبرك في الامتحان على أي قانون تستخدم + +359 +00:31:08,240 --> 00:31:11,960 +وأحياناً بفلتك لحالك، بس لما أفلتك لحالك بتكون واضح + +360 +00:31:11,960 --> 00:31:15,880 +إيش هو اللي بتستخدمه؟ لإنه في واحد أسهل، ثاني بيكون + +361 +00:31:15,880 --> 00:31:19,380 +في التعامل، خليني أشوف حلوًا المثال، find the + +362 +00:31:19,380 --> 00:31:25,080 +energy of a uniformly charged spherical shell of + +363 +00:31:25,080 --> 00:31:28,740 +charge Q and radius capital R، الشل هذا ما أخذناه، + +364 +00:31:28,740 --> 00:31:32,480 +كم مرة حلّيناها؟ كتير، هو نفس الشل، هو اللي بتدي الـ + +365 +00:31:32,480 --> 00:31:38,420 +energy، مضبوط هيك؟ طبعاً، نذكر مع بعض الـ shell هذا + +366 +00:31:38,420 --> 00:31:45,120 +تينو، أكتر من حاجة عملناها، وليه؟ E in متساوى، سكر E R + +367 +00:31:45,120 --> 00:31:53,240 +متساوى KQ على R، تنبيه R ذاتي، V in متساوى KQ على + +368 +00:31:53,240 --> 00:32:00,400 +كامتها R، و V out متساوى KQ على R، هل ذاكرينهم؟ فحلّيناهم + +369 +00:32:00,400 --> 00:32:03,460 +بطرق ثانية، إذا كنتوا ذاكرينهم، حلّيناها بطرق ثانية + +370 +00:32:03,460 --> 00:32:08,380 +حلّيناها من التكامل وجبنا Gauss اللي هم هدول، وحلّيناها + +371 +00:32:08,380 --> 00:32:11,400 +خدنا عنصر واشتغلنا، وهديوه بواسطة كم Gauss + +372 +00:32:11,400 --> 00:32:17,480 +كنا بنعمله، طيب، solution، طبعاً solution one، بدي أسخّن + +373 +00:32:17,480 --> 00:32:22,250 +نفسي، الطرق ثانية، لأن عشان نشوف إيش الفرق، كيف نتعامل + +374 +00:32:22,250 --> 00:32:25,390 +معه؟ بدي أستخدم القانونين، القانونين الأعلى، أينهم؟ + +375 +00:32:25,390 --> 00:32:33,570 +وبيساوي نصف تكامل DQ في V، وبيساوي Y نصف على 2 + +376 +00:32:33,570 --> 00:32:40,750 +تكامل E تربيع DQ، مظهرش ولا؟ حلو، هذا التكامل انبهر + +377 +00:32:40,750 --> 00:32:45,510 +على DQ، وهذا التكامل على W، على كل الـ space، تمام + +378 +00:32:45,510 --> 00:32:50,810 +بقول: using equation 26، هي هذه، طبعاً اتطلعوا الـ DQ + +379 +00:32:50,810 --> 00:32:55,810 +لابصير Lambda DL، لابصير Sigma DA، لابصير رو D تاو + +380 +00:32:55,810 --> 00:33:00,670 +صح؟ إيش الشكل اللي عندي؟ Spherical، اه، بس صدح ولا + +381 +00:33:00,670 --> 00:33:07,850 +حجم ولا طول؟ صدح، فالـ DQ يصير Sigma DA، حفظ Sigma D + +382 +00:33:07,850 --> 00:33:11,470 +A، أول + +383 +00:33:11,470 --> 00:33:15,230 +حاجة بدنا نعملها، DE بالـ Spherical Coordinates، إيش هو + +384 +00:33:15,230 --> 00:33:16,650 +التاني؟ + +385 +00:33:18,400 --> 00:33:24,420 +إذًا معناته الـ DA، نتذكر الـ DL عبارة عن RdRdθdΦ + +386 +00:33:24,420 --> 00:33:33,300 +R²dRdθdΦ + +387 +00:33:33,300 --> 00:33:40,400 +R، لو تبقى معاكم، هذا الـ DA باتجاه الـ R، صح أو لا؟ + +388 +00:33:40,400 --> 00:33:48,250 +إذًا الـ DA بتساوي R تربيع Sin θ D θ D Φ.. دي هي + +389 +0 + +445 +00:39:20,200 --> 00:39:24,660 +capital R لمن نهاية واحد عمل نهاية سفر ناقص + +446 +00:39:24,660 --> 00:39:32,900 +استفسار زائد، وبنروح نقولها وطلعت نفس النتيجة، أي + +447 +00:39:32,900 --> 00:39:33,680 +استفسار؟ + +448 +00:39:43,200 --> 00:39:47,000 +حلو، احنا هجيت علمتكوا أننا five ثابت على الصدع + +449 +00:39:47,000 --> 00:39:51,500 +اللي هيك، اه اه، الـ DM's لو بدنا نجيب الـ DM's الـ + +450 +00:39:51,500 --> 00:39:54,360 +five كان ثابت، طب هل جيت five and one لوين؟ يعني + +451 +00:39:54,360 --> 00:39:56,320 +تبقى من six لـ five، أيه الشتشة اللي قولت أيه شهد + +452 +00:39:56,320 --> 00:40:00,700 +ثابت؟ five لأن ما بتلفش، five والكلية كانت بتقولي + +453 +00:40:00,700 --> 00:40:05,140 +five من ولا وين؟ لأ، لو بدنا نعوض فيها كنت بتسوي + +454 +00:40:05,140 --> 00:40:08,560 +الـ five بما أنه ثلاث ونصف، إذا ما .. اه بما أنك + +455 +00:40:08,560 --> 00:40:13,800 +تبت ثلاثين وبقى five حسب سفر .. خد يا .. سفر .. + +456 +00:40:13,800 --> 00:40:18,200 +سفر .. طب أنا مابهمش .. أنا اتنين باقي صح .. بس + +457 +00:40:18,200 --> 00:40:22,260 +ابتفرج اتنين باقي عن سفر .. لأ لأن .. نفس النقطة + +458 +00:40:22,260 --> 00:40:26,120 +.. نفس النقطة .. فأنتِ .. كم تكوني ثابتة وكم + +459 +00:40:26,120 --> 00:40:29,140 +تكوني نولوين؟ لأ أنا مش قادرة .. كم تش بتساوي .. + +460 +00:40:29,140 --> 00:40:32,760 +اه أنا مش قادرة .. زيرو .. طب هجيبها من سفر + +461 +00:40:32,760 --> 00:40:37,400 +لبياناتك .. لأنها بت .. كاملة .. ما تكملها .. مش ربع + +462 +00:40:37,400 --> 00:40:40,990 +.. لو ربع تسمي سفر لبيانات اتنين .. عايزة تقول سبن + +463 +00:40:40,990 --> 00:40:48,250 +لربع السين، خلينا نشوف بس بالظبط كيف .. أنتِ + +464 +00:40:48,250 --> 00:40:55,110 +.. اه كنتِ حاضرة، وقع نور قالت على دسانكم أن يوم + +465 +00:40:55,110 --> 00:40:59,690 +التنين بعد المحاضرة discussion، صح؟ يعني اه + +466 +00:40:59,690 --> 00:41:04,410 +قالوا .. اه لو في شغل تاني كانوا، لأ مش بسمحنا تحت + +467 +00:41:04,410 --> 00:41:05,330 +على دساننا + +468 +00:41:08,730 --> 00:41:26,710 +بدي كنت ربع السفير يا أبويا، مناقشة + +469 +00:41:26,710 --> 00:41:28,830 +بعد المحاضرة؟ اه اه والله المحاضرة + +470 +00:41:47,200 --> 00:41:50,600 +أيوة يا ربع السفير + +471 +00:41:58,090 --> 00:42:05,150 +أه كام سطح فيه أول؟ انتفج .. انتفج .. كانت هم أربع + +472 +00:42:05,150 --> 00:42:10,510 +أول، نكفي .. أه + +473 +00:42:10,510 --> 00:42:16,610 +الحمد لله، عدّلت لحالك يعني، مين عدّه؟ علشان اللي + +474 +00:42:16,610 --> 00:42:21,030 +.. اللي نعسان، اللي جاهز على الأرض، واحد، اللي + +475 +00:42:21,030 --> 00:42:25,470 +مدور، اتنين، اللي رايح على الـ lift، واللي مزج في + +476 +00:42:25,470 --> 00:42:31,690 +الحيطة، أربع. أنت قلت اللي على الـ left فيتا بيساوي + +477 +00:42:31,690 --> 00:42:37,870 +سفر فاي، بتساوي سفر فاي، بتساوي سفر فاي، بيلاقي ملزقة + +478 +00:42:37,870 --> 00:42:44,630 +في الحيطة، إشي تثابت فيه؟ ملزقة الحيطة، circle + +479 +00:42:44,630 --> 00:42:50,090 +coordinates اللي بيحتويها؟ فاي، + +480 +00:42:50,090 --> 00:42:55,010 +فده يخمتها، مش أنتِ ثابتها يعني أنك مش خمتها على + +481 +00:42:55,010 --> 00:43:02,690 +طول. شوفي أنتِ .. وين فيا؟ بتخيلها اسمك فين؟ روسيا؟ + +482 +00:43:02,690 --> 00:43:10,370 +وين فيا؟ أنت عارفها وين؟ فيا هنا لما + +483 +00:43:10,370 --> 00:43:15,270 +تصيري أنتِ هنا، جدّيش فيا؟ فيا عدّنية .. فيا عدّنية + +484 +00:43:15,270 --> 00:43:18,990 +ارسموا، اتخلّبوش حقّكوا، ارسموا عشان تتخيلوا صح في + +485 +00:43:18,990 --> 00:43:21,510 +الضحك، خصوصاً ليسوا ورقوا في الضحك، بتعملوش زي أنا، + +486 +00:43:21,510 --> 00:43:23,550 +اللي بدي يجي يرسم ويجي يجي مش حاجة معاه، بيقولوا + +487 +00:43:23,550 --> 00:43:25,810 +كل شيء يعملوا، بيقولوا يابا عمل لطفا يا أنا ويابا + +488 +00:43:26,460 --> 00:43:31,900 +جيب له حد كل حاجة عشان يعرف كيف يسوي .. جيبوها + +489 +00:43:31,900 --> 00:43:34,100 +يقولوا file .. اقسموها file .. شوفوا الـ intuition + +490 +00:43:34,100 --> 00:43:35,920 +اللي وضحها .. عشان يعرفوا أنهم بتروحوا من الـ + +491 +00:43:35,920 --> 00:43:39,520 +teaching .. يعني هيها file .. هيها file .. أنا + +492 +00:43:39,520 --> 00:43:42,320 +عشان أقولها على اللوح .. مش file لازم تكون هنا .. + +493 +00:43:42,320 --> 00:43:45,260 +أو على الحطة هذه لازم تكون هنا .. فلازم تكون file + +494 +00:43:45,260 --> 00:43:50,900 +أما بعد N أو Zero، طب قلّي تحتانية لش أن فاهمت فيها + +495 +00:43:50,900 --> 00:43:53,940 +.. circle coordinates .. بتلاقي واحد يقول الـ Z + +496 +00:43:57,050 --> 00:44:03,090 +اه يا عشان تطلع الدنيا بهلمش .. تشوفوا منطقي و + +497 +00:44:03,090 --> 00:44:06,830 +بالعكس ميزة أن الواحد يخرج من الدنيا .. ميزة .. + +498 +00:44:06,830 --> 00:44:10,530 +يطلع .. شايفاها هذه .. هذه النقطة عليها في القاعدة + +499 +00:44:10,530 --> 00:44:14,730 +وليست القاعدة .. وهذه .. نفس القارن هم؟ لأ .. لأ + +500 +00:44:14,730 --> 00:44:16,910 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +501 +00:44:16,910 --> 00:44:17,770 +لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ + +502 +00:44:17,770 --> 00:44:17,810 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +503 +00:44:17,810 --> 00:44:19,010 +لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ + +504 +00:44:19,010 --> 00:44:24,790 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +505 +00:44:24,790 --> 00:44:33,950 +لشوفت كيف الـ .. الرابعة؟ + +506 +00:44:33,950 --> 00:44:39,550 +دول أنا مش فاضية حاضر يعني في المنطقة إذا كنت فيه + +507 +00:44:39,550 --> 00:44:45,630 +.. شيء ممكن أعمله على أي + +508 +00:44:45,630 --> 00:44:49,410 +سطح تبدأ؟ على أي سطح تبدأ؟ خلينا أول سطح تحتاني + +509 +00:44:49,410 --> 00:44:53,790 +يا عمرو شفتها سطح تحتاني؟ قاعدة موجودة، هجيتكم في + +510 +00:44:53,790 --> 00:45:00,050 +قاعدة طويلة مشهودة قاعدة هنا؟ هي Z axis كيفاني هي Z + +511 +00:45:00,050 --> 00:45:05,570 +axis، هي تيتا عشان تكون على الطاولة لازم تكون تيتا + +512 +00:45:05,570 --> 00:45:13,750 +تكون، بتكون على الطاولة، بتفعل كلنا نقطة هي نقطة طول + +513 +00:45:13,750 --> 00:45:21,530 +ما أنا ماشية، جيت تيتا شايفة بعتين، صح؟ إذا طول ما + +514 +00:45:21,530 --> 00:45:25,560 +أنا ماشية على الطاولة، والـ Z-axis هادي، إذا اللاجئ + +515 +00:45:25,560 --> 00:45:28,500 +بتكون فيه، تبتدي بقى على اتنين، والقاعدة قاعدة + +516 +00:45:28,500 --> 00:45:34,100 +على الأرض، على الطاولة هيها، تبتدي نيجي واحد هيك + +517 +00:45:34,100 --> 00:45:40,700 +اللي هو ها هيك، تمأ تمأ، أنا ماشي هيك، أنا ماشي هيك + +518 +00:45:40,700 --> 00:45:48,620 +وبالتالي فايت تبعتي هي اللي بتكون ثابتة، لأنه تطلع + +519 +00:45:48,620 --> 00:45:54,090 +عنكِ، شوفي اعملي لي أي نقطة هنا، اسقطيها، مش هتوقعها + +520 +00:45:54,090 --> 00:45:57,250 +هيسقط، تسقط كل النقاط، أي نقطة في بالك تسقطيها على + +521 +00:45:57,250 --> 00:46:02,390 +الأرض، تيجي على المحور هذا ولا لا؟ على محور، معناته + +522 +00:46:02,390 --> 00:46:05,410 +إما الصيني أو الصاضي، مازال الصيني أو الصاضي، إذا + +523 +00:46:05,410 --> 00:46:09,390 +الصيني فاي بتساوي صفر، وإذا الصاضي فاي بتساوي باية + +524 +00:46:09,390 --> 00:46:13,090 +اتنين، إذا هذا كله فاي بتساوي صفر، طب اللي هنا المزج + +525 +00:46:13,090 --> 00:46:17,330 +اللي على الحيطة أيه؟ كل النقاط تسقطيها على المحور + +526 +00:46:17,330 --> 00:46:20,510 +هذا ولا لا؟ تيتا بتساوي باية اتنين؟ five + +527 +00:46:23,680 --> 00:46:30,760 +فارت تتغير، فارت، فاذاك تفتكر الـ R، اه الـ R تطلع على + +528 +00:46:30,760 --> 00:46:34,220 +السطح اللي نزل في اللوحي، هادي وهادي، مش كتير عين + +529 +00:46:34,220 --> 00:46:38,440 +أن هم أرو مختلفة ولا لا، ليجي إلى نهاك في أو في أو + +530 +00:46:38,440 --> 00:46:40,900 +في أو في أو في أو في أو في أو في أو في أو في أو في + +531 +00:46:40,900 --> 00:46:43,360 +أو في أو في أو في أو في أو في أو في أو في أو في أو في + +532 +00:46:49,570 --> 00:46:52,110 +تعقد الأمور يعني، أنت تعقد الأمور بالـ wrestling يعني + +533 +00:46:52,110 --> 00:46:54,450 +أنا لو جيت وأنا بدأتش من ربع قروة ده عمري ما أعرفش + +534 +00:46:54,450 --> 00:46:59,970 +الحمد لله أنا مرسومة في جاسر بس بقى عارف أرسم الـ + +535 +00:46:59,970 --> 00:47:05,510 +score، احتي الـ مساحة، وفي عندنا أربع مساحة أصلاً + +536 +00:47:05,510 --> 00:47:08,510 +قلت المساحة الرابعة هو نفس الـ camp كله، الـ camp + +537 +00:47:08,510 --> 00:47:16,310 +إيش الثابت فيه بقى؟ الـ A، الـ A يعني هنا رح يتغيروا + +538 +00:47:16,310 --> 00:47:20,860 +أن في السطحين، أي سطحين؟ أن هم سطحين اللي بتتغير + +539 +00:47:20,860 --> 00:47:25,540 +أروازيكا، اللي بقى ستة خير مرة واحدة، زين وواحدة مرة + +540 +00:47:25,540 --> 00:47:30,960 +bad يعني + +541 +00:47:30,960 --> 00:47:35,800 +واحد هيك وواحدين، أيوة هيك، والسطح قاعد هنا و + +542 +00:47:35,800 --> 00:47:38,820 +السطح قاعد هنا، والسطح قاعد هنا، والسطح لفهم كلهم + +543 +00:47:38,820 --> 00:47:48,780 +فده هم واحد، اتنين، تلاتة، أربع، نور + +544 +00:47:50,440 --> 00:47:56,300 +طبعاً؟ يوم التنين احنا شغلتنا هالشغلة، طبعاً يعني + +545 +00:47:56,300 --> 00:47:58,620 +خليني أقولك التالية بنات، أنا يوم التنين علاش + +546 +00:47:58,620 --> 00:48:01,720 +بدركز، بدركز على الشغلات التالية، في سؤال هذا + +547 +00:48:07,470 --> 00:48:13,370 +هدول الأسئلة، هذا وهذا وهذا، التلاتة هذا حلّناه + +548 +00:48:13,370 --> 00:48:19,290 +عظمناه، هذا طلبته اسمه، عظمناه وحلّناه، هذا برضه جيد + +549 +00:48:19,290 --> 00:48:22,910 +وهذا كمان، طبعاً ما أنتو شايفين هذا طلبه بالـ + +550 +00:48:22,910 --> 00:48:25,350 +circle، والـ syndical طبعاً طلبه بالـ syndical، بس + +551 +00:48:25,350 --> 00:48:28,610 +عشان يتفكوا فيه لأن هو مدّيني الـ vector بالـ circle + +552 +00:48:28,610 --> 00:48:31,870 +coordinate، عشان أحله بالـ syndical بدّي كتير آخد وقت + +553 +00:48:31,870 --> 00:48:35,040 +أحوّل كل circle لـ syndical، ده كان من الحل، لكن لو بدّي + +554 +00:48:35,040 --> 00:48:37,900 +يبقى أنا في امتحان في الـ syndical coordinates + +555 +00:48:37,900 --> 00:48:40,600 +بجهّزكوا من نصه لحيث أنه يكون الـ vector بالـ + +556 +00:48:40,600 --> 00:48:42,380 +syndical coordinates، ليه ما يكون في الـ circle + +557 +00:48:42,380 --> 00:48:47,600 +بتحوّله في الـ society، هدي + +558 +00:48:47,600 --> 00:48:54,980 +طبعاً اللي هو اللي على عرض واللي على الخيطة، اللي + +559 +00:48:54,980 --> 00:48:58,760 +على عرض واللي على الخيطة، طيب ما زال فتحتوا المجال + +560 +00:48:58,760 --> 00:49:04,390 +نور تطلع علينا شفاني على عرض، بدي أكيد circle + +561 +00:49:04,390 --> 00:49:05,970 +coordinates و syndical coordinates، أول syndical + +562 +00:49:05,970 --> 00:49:11,370 +coordinates اللي تحت، إيش تثبت فيه؟ تثبت، اه syndical + +563 +00:49:11,370 --> 00:49:18,950 +coordinates، احكي + +564 +00:49:18,950 --> 00:49:27,650 +لك أس رو، لأ، syndical أنا بحكي، اه، واش كلمة أخرى، زد + +565 +00:49:27,650 --> 00:49:29,330 +زد هو اللي بتبقى + +566 +00:49:34,960 --> 00:49:40,760 +سنّ شوية، إيش H؟ أنت قلت ثابت R؟ أنا بحكي Syndical + +567 +00:49:40,760 --> 00:49:44,020 +Coordinates، مرجعي اللي حكيت روشان مرة هذه، طلعيها + +568 +00:49:44,020 --> 00:49:47,780 +روشان، لو واحد قال R ثابتة بقوله لأ، أنت بتحكي صدق + +569 +00:49:47,780 --> 00:49:52,840 +أي هالة، وأي هالة النجوطين يلهم نفس الـ R؟ لأ، لكن + +570 +00:49:52,840 --> 00:49:57,600 +النجوطين يلهم نفس الـ Z، Z بتساوي Zero، طب بيدّيس فيك + +571 +00:49:57,600 --> 00:50:02,270 +الـ Coordinates، إيش فيك تاني؟ Pro بدي فيك تاني، رجعنا + +572 +00:50:02,270 --> 00:50:05,530 +على الأرض .. رجعنا على الطاولة .. برافو عليكم، طيب + +573 +00:50:05,530 --> 00:50:12,730 +ميجي ليه هذي؟ بالـ Syndical Coordinates ماشي + +574 +00:50:12,730 --> 00:50:19,970 +ثابت؟ الـ Phi .. Phi .. Phi .. 90 درجة .. في الـ + +575 +00:50:19,970 --> 00:50:23,770 +Spherical Coordinates، ما هي Phi في الـ Spherical + +576 +00:50:23,770 --> 00:50:25,530 +Coordinates؟ ما هي في الـ Syndical Coordinates؟ أن + +577 +00:50:25,530 --> 00:50:31,130 +الـ Phi كمّه .. برضه Phi تبقى .. إذا سطحين يا واحد + +578 +00:50:32,000 --> 00:50:35,240 +لكن أنا كام خط؟ كام line؟ واحد، اتنين، تلاتة، أربع + +579 +00:50:35,240 --> 00:50:42,280 +عشان نسهل، تمام؟ وفي سؤال كمان أظنّ .. احكي، في ربع + +580 +00:50:42,280 --> 00:50:44,820 +الصوانة بدّي أرجع له كمان، تذّكريني في أحد السؤال + +581 +00:50:44,820 --> 00:50:47,340 +السؤالة، هجيتش احنا بنقول مثلاً الدائرة اللي تحت + +582 +00:50:47,340 --> 00:50:50,060 +الدائرة، رجع الدائرة اللي تحت، وقولنا بس نسقطها من + +583 +00:50:50,060 --> 00:50:53,320 +فوق بس على محور واحد، بس على زاوية واحد على تانية + +584 +00:50:53,320 --> 00:50:57,640 +اتنين، طب هجيت الدائرة كامة الدق يعني ولا الكورة؟ + +585 +00:50:57,640 --> 00:51:01,360 +الكورة .. الكورة الشكل عام، مثلاً إذا إحنا دي طبعاً + +586 +00:51:01,360 --> 00:51:05,220 +فمن سنة لباي بتاع تسقطيها، طب عاد أسس .. يعني كيف + +587 +00:51:05,220 --> 00:51:08,520 +بنسقطها، تقريباً تيجي بقى؟ يعني إذا بتبتدي من سنة + +588 +00:51:08,520 --> 00:51:12,160 +لباي لكورة .. لكورة كامة؟ برافو عليك، هي كورة، هي + +589 +00:51:12,160 --> 00:51:15,600 +مأكزة، أيوة، فهي كيف بتبدأ .. شوف .. شوفين النقطة + +590 +00:51:15,600 --> 00:51:16,040 +هذه؟ + +591 +00:51:20,870 --> 00:51:25,110 +ثاني شوية، نقطة هذي جت أنتِ تتبعتها .. هذي .. وهذي + +592 +00:51:25,110 --> 00:51:31,870 +.. هذي هي .. هذي هي جوابك .. مش أنتِ .. هتساعدتي .. + +593 +00:51:31,870 --> 00:51:34,850 +تجيلي وين من وين الـ bar .. اللي فوق zero .. وهذي + +594 +00:51:34,850 --> 00:51:42,750 +نم .. نم .. نم .. وهذي كده .. خلصنا .. تمام؟ + +595 +00:51:42,750 --> 00:51:46,750 +موعدنا يوم التنين .. حضّروا حالكم .. أو حضّر أنا + +596 +00:51:46,750 --> 00:51:48,490 +حالي .. منكم .. + +597 +00:51:51,430 --> 00:51:52,410 +لو كنتوا لها عافية diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..029cbcaa60e74128c4052ff26ad709090392f64f --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w_postprocess.srt @@ -0,0 +1,2388 @@ +1 +00:00:21,950 --> 00:00:25,750 +بسرعة نعمل الـ Boundary Conditions نعيد اللي احنا + +2 +00:00:25,750 --> 00:00:31,230 +وصلنا له الـ Boundary Conditions اللي بتكون موجودة + +3 +00:00:31,230 --> 00:00:37,190 +و بتحكم العلاقات الكهربائية إذا كان المجال أو + +4 +00:00:37,190 --> 00:00:42,650 +الجهد between two regions along the boundary + +5 +00:00:42,650 --> 00:00:46,330 +وبالتالي اتفقنا إن لو فيها عندنا two regions + +6 +00:00:46,330 --> 00:00:51,830 +separated by a boundary، the black lineوكنا في + +7 +00:00:51,830 --> 00:00:55,970 +عندى مجال كهربائي معين في المنطقة وكنا بنشوف ايش + +8 +00:00:55,970 --> 00:01:01,960 +علاقة المجال الكهربائيhand و hand عند الحد فقلنا + +9 +00:01:01,960 --> 00:01:05,300 +ما زال احنا بنحكي عن حد بإمكاني استخدم خانون gauss + +10 +00:01:05,300 --> 00:01:11,080 +قطعا ب pill box the red pill box هناك لما جيت + +11 +00:01:11,080 --> 00:01:14,360 +طبقتها على اعتبار اني انا على ال boundary وبالتالي + +12 +00:01:14,360 --> 00:01:17,980 +ال height of the pill box is very small negligible + +13 +00:01:17,980 --> 00:01:21,800 +او بالتالي بيكون عندى just two surfaces لما عملنا + +14 +00:01:21,800 --> 00:01:24,300 +two surfaces قلنا ايه دُطل ان + +15 +00:01:35,360 --> 00:01:39,460 +بالتالي بيصير في عينيه انه + +16 +00:01:40,930 --> 00:01:45,650 +E1n-E2n Equal Sigma على أبسل نوت المضخّص إن الـ + +17 +00:01:45,650 --> 00:01:49,950 +Normal component of E is not continuous الـ Normal + +18 +00:01:49,950 --> 00:01:54,530 +component of E is not continuous و بيعتمد على الـ + +19 +00:01:54,530 --> 00:01:57,370 +Sigma بمعنى آخر لو كانت الـ Sigma Zero بيكون + +20 +00:01:57,370 --> 00:01:58,890 +continuous تابع + +21 +00:02:17,750 --> 00:02:23,590 +تمام بعد كده قلنا لو بدى اجيب انا line integral + +22 +00:02:23,590 --> 00:02:31,130 +for any loop و اختارت loop عبارة عن rectangular زي + +23 +00:02:31,130 --> 00:02:35,430 +ما احنا شايفينها with four sides و ال vertical + +24 +00:02:35,430 --> 00:02:43,200 +sides are very smallوبالتالي صار في عندي ان E1.L1 + +25 +00:02:43,200 --> 00:02:47,980 +plus E2.L2 equal to zero على اعتبار ان ال line + +26 +00:02:47,980 --> 00:02:55,120 +integral E.DL over any closed loop is zeroالـ L1 و + +27 +00:02:55,120 --> 00:02:59,160 +L2 مقارنة مع بعضها البعض وبالتالي تجارب التجارب + +28 +00:02:59,160 --> 00:03:06,980 +الـ E هي دائما مستمرة تجارب التجارب الـ E هي دائما + +29 +00:03:06,980 --> 00:03:11,980 +مستمرة جمعنا اكواشينز و حطيناهم بهذه الصيغة + +30 +00:03:11,980 --> 00:03:18,780 +حطيناهم بهذه الصيغة الان الـ E عرفنا ايه شرطه + +31 +00:03:18,780 --> 00:03:24,050 +كمصطلح المصطلح طيب يا تورا ال potentialالـ + +32 +00:03:24,050 --> 00:03:27,830 +Electric Potential ايش بده يكون وضعه قال لي خلينا + +33 +00:03:27,830 --> 00:03:31,090 +نشوف نجيب ال potential difference between two + +34 +00:03:31,090 --> 00:03:35,790 +points ال potential difference between two points + +35 +00:03:35,790 --> 00:03:40,010 +تمام + +36 +00:03:40,010 --> 00:03:45,090 +ال point هادي و ال point هادي هادي one و هادي two + +37 +00:03:45,090 --> 00:03:51,210 +لو بدى اجيب انا فرق الجهد بين هدول النقطينV1-V2== + +38 +00:03:51,210 --> 00:03:55,090 +1 to 2 وبما أن النقطين جراب على بعض كتير معناته + +39 +00:03:55,090 --> 00:03:59,430 +التكامل هذا goes to zero اذا but since the + +40 +00:03:59,430 --> 00:04:03,250 +vertical side shrinks to zero اتقلص يقول إلى ال + +41 +00:04:03,250 --> 00:04:10,670 +zero معناته V1-V2== 0 اذا دائما ال potential is + +42 +00:04:10,670 --> 00:04:14,030 +continuous ال potential as a function is + +43 +00:04:14,030 --> 00:04:20,590 +continuous function هذا اللي احنا أخدنا تمامبس + +44 +00:04:20,590 --> 00:04:28,730 +نجمّع جاني الآن انت عندك E1 N نقص E2 N بيساوي سجمة + +45 +00:04:28,730 --> 00:04:35,410 +على E نوت مظبوط ولا لأ؟ حلو هل هذا القانون ممكن + +46 +00:04:35,410 --> 00:04:39,630 +مرات أستخدمه عشان أجيب سجمة؟ إيش بدي؟ بدي هذا و + +47 +00:04:39,630 --> 00:04:45,050 +هذا طب أنا مافيش عندي E بدي أجيب V في علاقة بين E + +48 +00:04:45,050 --> 00:04:46,050 +و V يا بنات؟ + +49 +00:04:50,080 --> 00:04:55,840 +زاكرينها؟ طيب، من يجيبلي EN؟ + +50 +00:04:55,840 --> 00:05:03,280 +لا، EN من هنا على إيش؟ + +51 +00:05:03,280 --> 00:05:07,220 +مظبوط؟ + +52 +00:05:07,220 --> 00:05:09,460 +N، و هذه الـN ممكن تكون R و ممكن تكون X و ممكن + +53 +00:05:09,460 --> 00:05:13,640 +تكون Y و ممكن تكون Z صحيحة ولا لأ؟ تمام، بيقول + +54 +00:05:13,640 --> 00:05:18,720 +الـNonsense E بالساوية سالب دلي الـVأذا صار عندي + +55 +00:05:18,720 --> 00:05:25,080 +بدل هذه بدي أحط سالب سالب طلعت السالب هنا دل V1 + +56 +00:05:25,080 --> 00:05:29,060 +نخص ذل V2 بيسوي سالب سجمة على epsilon node using + +57 +00:05:29,060 --> 00:05:32,840 +the fact that دل ال V ضد ال N هي partial V على + +58 +00:05:32,840 --> 00:05:36,120 +partial N اذا انا ممكن اقول partial V1 على partial + +59 +00:05:36,120 --> 00:05:39,700 +N minus partial V2 على partial N بيسوي سالب سجمة + +60 +00:05:39,700 --> 00:05:45,180 +على epsilon node هذه المعادلة مراتب نستخدمها برضه + +61 +00:05:45,180 --> 00:05:48,410 +ك conditionعادي ان هذا كله حاليا نرجع لـ Chapter 3 + +62 +00:05:48,410 --> 00:05:52,610 +كله وبالتالي مش مطلوب منكم الآن تشغلكم أخكم كتير + +63 +00:05:52,610 --> 00:05:55,930 +فيه وانا في هذا ال chapter بجيبش أسئلة على ال + +64 +00:05:55,930 --> 00:06:00,310 +boundary conditions لأنه من أخره لل chapter 1 يعني + +65 +00:06:00,310 --> 00:06:02,310 +بمعنى آخر ال boundary conditions مش هيدخلكم يافن + +66 +00:06:02,310 --> 00:06:06,660 +امتحانبس عشان اغششكم يعني تمام ك boundary + +67 +00:06:06,660 --> 00:06:09,140 +conditions ده هو هذا مقدم لل chapter اللي ورا + +68 +00:06:09,140 --> 00:06:13,400 +ومنحجين هنيجي فيه بكل التفاصيل يعني هنستخدمه شوية + +69 +00:06:13,400 --> 00:06:17,440 +قعدنا لكن في النهاية استخداماته الحقيقية هتيجي في + +70 +00:06:17,440 --> 00:06:24,700 +chapter تلاتة اكيد في خطة + +71 +00:06:24,700 --> 00:06:32,300 +مطبع بكون تمام work and energywork and energy + +72 +00:06:32,300 --> 00:06:39,200 +بشوفها اخر موضوع محرز في هذا ال chapter هو ال work + +73 +00:06:39,200 --> 00:06:44,680 +and energy work and energy طبعا عشان بس احنا مع + +74 +00:06:44,680 --> 00:06:48,120 +بعض نشوف ايش مفهوم ال work و ال energy و ليه + +75 +00:06:48,120 --> 00:06:53,340 +جامعوا ان بيكونوا ملازجين بعض عشان اتدركوا مركزين + +76 +00:06:53,340 --> 00:06:57,840 +معايا ايش اللي بصير حاجة هذه بدي ارفحها فوق ايش + +77 +00:06:57,840 --> 00:07:06,110 +بتلزمبدي شغل صح؟ شغل إيدي طيب احنا قانون عام + +78 +00:07:06,110 --> 00:07:09,830 +universal بيسموه قانون كوني اللي هو قانون حفظ + +79 +00:07:09,830 --> 00:07:13,230 +الطاقة صحيح ولا لأ؟ طب الشغل اللي أنا بدلت أين + +80 +00:07:13,230 --> 00:07:18,390 +راح؟ تحول لطاقة تخزنت دوا potential energy طبعا + +81 +00:07:18,390 --> 00:07:21,590 +كلمة potential يعني كامل يعني مخزن ف potential + +82 +00:07:21,590 --> 00:07:29,640 +energy حلو لو هذه هيك عملتها هي نجلتهافي شغل انبذل + +83 +00:07:29,640 --> 00:07:36,060 +ضد الجاذبية؟ لأ اذا لابد .. انا ليش بذلت شغل؟ بذلت + +84 +00:07:36,060 --> 00:07:40,860 +شغل لأنه فيه قوة عكس الإزاحة مظبوطة له وبالتالي + +85 +00:07:40,860 --> 00:07:47,500 +لازم انا ايجي أساعد هذه ال object عشان يطلع من + +86 +00:07:47,500 --> 00:07:52,180 +نقطة إلى نقطة نفس المفهوم بيجي لوين؟ بيجي للشحنات + +87 +00:07:52,180 --> 00:07:59,110 +أنا عندي شحنة موجودة في مجال كهربائيموجودة في مجال + +88 +00:07:59,110 --> 00:08:02,290 +الكهرباية يعني في عليها قوة زي الجذبية الأرضية في + +89 +00:08:02,290 --> 00:08:07,110 +قوة لما بدي أحركها بدي أبذل شغل هذا الشغل لما يبذل + +90 +00:08:07,110 --> 00:08:11,350 +بدي يتخزن جوا على هى الطاقة واضحة طيب احنا في + +91 +00:08:11,350 --> 00:08:14,190 +النهاية كيف انا بشحن جسم بصورة عامة؟ ايش المعلومات + +92 +00:08:14,190 --> 00:08:19,410 +اللى عنكم؟ كيف تشحن جسامك؟ كيف اي جسم بتخليه موجب + +93 +00:08:19,410 --> 00:08:23,930 +أو سالب؟ غير التأثير أسهل + +94 +00:08:26,770 --> 00:08:29,570 +طيب هو التوصيل و التأثير و إيش بيصير فيه في الآخر؟ + +95 +00:08:29,570 --> 00:08:34,610 +إيش بيصير؟ في الآخر يعني المحصلة عشان أخلي كورة + +96 +00:08:34,610 --> 00:08:39,370 +النحاس موجة بقى إيش أسوي؟ بيبقى جميل في الآخر و + +97 +00:08:39,370 --> 00:08:42,790 +فرقة الجهود ليش بدي أعمله؟ حاجات هي كورة النحاس + +98 +00:08:42,790 --> 00:08:48,570 +بطبيعتها مالها متعدلة؟ ليش؟ عشان عدد الإلكترونات + +99 +00:08:48,570 --> 00:08:54,010 +بس هو عدد البروتونات صح؟ طيب زيديها إلكتروناتخُدّي + +100 +00:08:54,010 --> 00:08:57,570 +منها بروتونات، إلكترونات، سنمو جبه. إذا عملية + +101 +00:08:57,570 --> 00:09:00,770 +الشحن هي نقل شحنات، باخد أو بودّي، هيف ان هي بنقل + +102 +00:09:00,770 --> 00:09:03,810 +شحنات، وكل اللي حكيته انتوا كله عشان أساعد في نقل + +103 +00:09:03,810 --> 00:09:08,390 +الشحنات، لأ عشان أنقل شحنة، بالزمن الشغل ولا لأ؟ + +104 +00:09:08,390 --> 00:09:12,870 +بالزمن الشغل، هذا الشغل وين بتخزن؟ جوه الجسم + +105 +00:09:12,870 --> 00:09:18,810 +المشحون، إذا كل جسم مشحون جوته طاقة، لأنه أنا عشان + +106 +00:09:18,810 --> 00:09:22,910 +خليته مشحون، نجلت شحنات لإما منه أو إله، صح ولا + +107 +00:09:22,910 --> 00:09:30,520 +لأ؟تمام بيقولي the work required to bring a tested + +108 +00:09:30,520 --> 00:09:34,740 +charge capital Q from point A to B كيه بدي أجيبه؟ + +109 +00:09:34,740 --> 00:09:38,240 +بقوله احنا الشغل كنا حافظينه classic بتاخدوا + +110 +00:09:38,240 --> 00:09:43,840 +classic جاعدين صح ولا لأ ال work equal F ضد ال DL + +111 +00:09:43,840 --> 00:09:48,260 +صح طيب هذي F classic في الكهربا بتسوي Q في ال E + +112 +00:09:48,260 --> 00:09:55,840 +مظبوط ولا لأ F بتسوي Q في ال E طيبهذا ما هو عبارة + +113 +00:09:55,840 --> 00:10:00,860 +عن تكامل من A لB هو فرق الجهد بين B وA مظبوط ولا + +114 +00:10:00,860 --> 00:10:04,820 +لأ؟ إذا معناته الشغل اللازم عشان أنقل شحنة بين + +115 +00:10:04,820 --> 00:10:07,960 +نقطين بسوء الشحنة المنقولة في فرق الجهد بين + +116 +00:10:07,960 --> 00:10:14,930 +النقطين تمام؟ حلوالعمل يتطلب أن يجلب تجارب محاولة + +117 +00:10:14,930 --> 00:10:19,670 +كبتال Q من نقطة Infinity إلى R هدول بالنقطين طب لو + +118 +00:10:19,670 --> 00:10:23,350 +كانت أحد النقط ملا نهاية يعني النقطة A ملا نهاية + +119 +00:10:23,350 --> 00:10:27,730 +النقطة A ملا نهاية جدش جهد ملا نهاية؟ Zeroإذاً + +120 +00:10:27,730 --> 00:10:31,270 +ستحصل الشغل عبارة عن الـQ في جهد النقطة التي تكون + +121 +00:10:31,270 --> 00:10:36,850 +عندها الشحنة إذاً الشغل المبذول لتنقل الشحنة من + +122 +00:10:36,850 --> 00:10:40,590 +النقطة من المدى النهائي لنقطة بالساوية الشحنة + +123 +00:10:40,590 --> 00:10:44,190 +المنقولة في جهد النقطة تمام؟ هذا أخدنا فيزيا بقى + +124 +00:10:44,190 --> 00:10:54,810 +طيب الآن أريد أن أعمل system فيه لوحة فاضية لا + +125 +00:10:54,810 --> 00:11:00,440 +يوجد شحنةبدي أحطلي عشر شحنات على اللوح عشر شحنات + +126 +00:11:00,440 --> 00:11:03,600 +مصيفي عندي system متكون من عشر شحنات مظبوط ولا لأ؟ + +127 +00:11:03,600 --> 00:11:07,860 +يعني ال system مشحون بدي أشوف الطاقة اللي تتخزن + +128 +00:11:07,860 --> 00:11:10,920 +جوا إيش بالساوي كيف بدي أعرف الطاقة اللي جوا تجدش + +129 +00:11:10,920 --> 00:11:14,440 +بالساوي؟ بقولي شوف لي انت جدش بذالك الشغل عشان تحط + +130 +00:11:14,440 --> 00:11:18,100 +العشرة هدول شغلك اللي مذيل هو اللي تتخزن جوا صح + +131 +00:11:18,100 --> 00:11:22,540 +ولا لأ؟ طيب نجي نشوف كيبك تسوي؟ بقولي let us + +132 +00:11:22,540 --> 00:11:30,130 +calculateالعمل المطلوب أن تجمع عشان تكون مجموعة من + +133 +00:11:30,130 --> 00:11:34,550 +الـpointed charges كيف؟ + +134 +00:11:34,550 --> 00:11:38,530 +By bringing them one by one from infinity اعتبر ان + +135 +00:11:38,530 --> 00:11:40,950 +في عندك مخزن في المدى نهائيا فيه شحنات دلوقت ده + +136 +00:11:40,950 --> 00:11:46,140 +تجيب واحدة واحدة وكل واحدة تجيبها تحسب لشغلكجدش + +137 +00:11:46,140 --> 00:11:51,340 +بدال الشغل؟ جيبت عشر شحنات بدالت عشر شغل، مظبوط؟ + +138 +00:11:51,340 --> 00:11:55,520 +الشغل الكلي، شغل، scala، رسمية موحة، هذا كل الشغل + +139 +00:11:55,520 --> 00:12:01,840 +هو الطاقة اللي تخزنها، مش هيك اتفقنا؟ حلو، الان؟ + +140 +00:12:01,840 --> 00:12:07,920 +الان شوفوا عاد، حاجات اللوح في شحنات؟ مش ولا + +141 +00:12:07,920 --> 00:12:10,100 +شحنات، اللوح مش فيه؟ + +142 +00:12:16,000 --> 00:12:21,040 +هذه نقطة، تمام؟ فيش حموليكم ولا شحنة؟ قدش جهود + +143 +00:12:21,040 --> 00:12:26,060 +النقطة هذه؟ برافو، مظبوط؟ فيش جهود؟ بقول أن أنا + +144 +00:12:26,060 --> 00:12:30,060 +بدي أنقل شحنة من المنا نهاية للنقطة هذه الشغل + +145 +00:12:30,060 --> 00:12:33,560 +المجلول بساوي الشحنة المنقولة ليه فيه واحد، فيه + +146 +00:12:33,560 --> 00:12:35,640 +جهود عند النقطة هذه، قدش جهود عند هذه النقطة هذه؟ + +147 +00:12:35,640 --> 00:12:40,240 +إذن أول شحنة ببدأ الشغل عشان أجيبها؟ لأ، زي ما + +148 +00:12:40,240 --> 00:12:43,970 +تقول محايا بشينها أفقين، أبدأت الشغلتمام؟ اذا + +149 +00:12:43,970 --> 00:12:49,930 +بيقوللي now no work is required to place the first + +150 +00:12:49,930 --> 00:12:55,690 +charge Q1 at a given position because there is no + +151 +00:12:55,690 --> 00:12:59,710 +electric potential at that position لان بيقوللي W + +152 +00:12:59,710 --> 00:13:06,430 +بيساوي Q في V ده ايه اخبره بطبقه انا V كان Zero و + +153 +00:13:06,430 --> 00:13:10,710 +Q Q واحد و Q واحد في Zero مانيش قاعدة واحد؟ Zero + +154 +00:13:10,710 --> 00:13:11,890 +تمام؟ + +155 +00:13:14,090 --> 00:13:22,550 +الان بدي أجيب شوحنا هنا Q2 مفهوم الشغل بيسوي Q2 في + +156 +00:13:22,550 --> 00:13:27,330 +أيه؟ في جود عند المفترض هذه في جود؟ في جود بتسوي + +157 +00:13:27,330 --> 00:13:34,530 +KQ1 على المسافة هذه ولا لا؟ بتعتبر هذه المسافة R12 + +158 +00:13:34,530 --> 00:13:43,330 +النحن فهلو ده بقول انه work التانية بيسوي Q2فى V + +159 +00:13:43,330 --> 00:13:51,330 +اللى جاية من واحد هذه V تنقص بالواحد صح كتش هاد + +160 +00:13:51,330 --> 00:13:57,310 +يتنقص من هنا بيديها K بيه واحد على اربع اتنين و + +161 +00:13:57,310 --> 00:14:01,210 +هاد كتنين ضربني + +162 +00:14:05,520 --> 00:14:11,460 +مش V1 V اللي جاب الواحد الـ Zero هذي V1 يعني V + +163 +00:14:11,460 --> 00:14:17,720 +اللي جاية من الواحد جمعها بـ Q1 أما هذه كذا بتقول + +164 +00:14:17,720 --> 00:14:22,640 +V الفارق هو الـ Zero فهذه الواحد هنا يعني فيها V + +165 +00:14:22,640 --> 00:14:32,180 +اللي جاية من Q1 تمام إذا بيقولي Q2 حطيتها الآن بدي + +166 +00:14:32,180 --> 00:14:33,140 +أجيب + +167 +00:14:36,110 --> 00:14:44,170 +مش واحدة هناك؟ Q ثلاثة بمعنى آخر إنه المفروض باب + +168 +00:14:44,170 --> 00:14:49,890 +الـ U ثلاثة بيساوي Q ثلاثة في جهود عند نقطة هذين + +169 +00:14:49,890 --> 00:14:54,350 +هذين جوهرين من وين جاي؟ من واحد زي اتنين إذا V + +170 +00:14:54,350 --> 00:14:59,570 +واحد زي V اتنين صح؟ طب نجلي من V واحد عند نقطة + +171 +00:14:59,570 --> 00:15:02,310 +هذين بالفعل، مش هذين المفترض يعني هذين V واحد + +172 +00:15:02,310 --> 00:15:08,980 +بيبقى هذين V هذين تنك الـV شفت عليها؟بتساوي U3 K + +173 +00:15:08,980 --> 00:15:26,440 +Q1 على R 1 3 مش R 1 2 زائد K Q2 على R 3 3 ثم + +174 +00:15:26,440 --> 00:15:31,020 +نمشي طبعا ماتيجي عنا انت شربات كتيرة بس خليني أمحي + +175 +00:15:31,020 --> 00:15:36,470 +و نشوف إيش بيفهم معايا إذا workfor the second + +176 +00:15:36,470 --> 00:15:43,810 +charge is calculated now we place Q3 at a position + +177 +00:15:43,810 --> 00:15:52,390 +R31 from Q1 and R32 from Q2 وبالتالي تصير we now + +178 +00:15:52,390 --> 00:15:57,970 +must do work given as Q3 في V12 V12 اللي هو الجاي + +179 +00:15:57,970 --> 00:16:02,110 +V1 V2 فسمينا V1 V2 تمام + +180 +00:16:04,370 --> 00:16:10,250 +طبعا هاجد اكم شحنة صار عالية؟ تلاتة متأكدين ان في + +181 +00:16:10,250 --> 00:16:13,870 +شغل البلد، اذا متأكدين ان في طاقة ديوة مخزنة، + +182 +00:16:13,870 --> 00:16:17,970 +بتحسب الطاقة المخزنة، ايش بتساوي؟ مجموع الشغل، + +183 +00:16:17,970 --> 00:16:21,950 +يللا نجمع الشغل، Z زائدها ده زائدها ده، مظبط ولا + +184 +00:16:21,950 --> 00:16:27,550 +لأ؟ خلنا نقول ال network required to assemble the + +185 +00:16:27,550 --> 00:16:33,640 +first three charges هدا هوطبعا انا ماني احكي احكي + +186 +00:16:33,640 --> 00:16:37,800 +اعلمكم بس انا اولا اقول هي تلاتة، مظبوط؟ واحد + +187 +00:16:37,800 --> 00:16:42,220 +اتنين، واحد تلاتة، اتنين تلاتة، اربعة، واحد اتنين، + +188 +00:16:42,220 --> 00:16:45,400 +واحد تلاتة، واحد اربعة، اتنين تلاتة، اتنين اربعة، + +189 +00:16:45,400 --> 00:16:50,040 +تلاتة اربعة، مظبوط؟ و هكذا، خمسة و ستة طبعا كنت هي + +190 +00:16:50,040 --> 00:16:52,740 +المرة دي ووقفنا لعين تلاتة واربعة ووقفنا، فكنت ده + +191 +00:16:52,740 --> 00:16:57,320 +جبنية، هشوف كيف طبعا طالعوا احنا لما نكون نعملنرجع + +192 +00:16:57,320 --> 00:17:02,160 +للتلاتة واحد تلاتة و اتنين تلاتة هجت اتنين تلاتة + +193 +00:17:02,160 --> 00:17:07,280 +في تلاتة اتنين؟ لأ مظبوط ولا لأ؟ وفي بيجي معاكم + +194 +00:17:07,280 --> 00:17:11,700 +واحد واحد او اتنين اتنين او تلاتة تلاتة؟ لأ بجيشهو + +195 +00:17:11,700 --> 00:17:15,200 +مرة واحدة يعني لما اعمل واحد تنين و بعدين واحد + +196 +00:17:15,200 --> 00:17:19,020 +تلاتة و واحد اربع برجعش هذا يجي مع هذا بيجي هذا و + +197 +00:17:19,020 --> 00:17:21,840 +بعدين بيجي هذا فالطلب ان انت لما جي انا اعمل بقول + +198 +00:17:21,840 --> 00:17:25,780 +هذا مع هذا مع هذا مع هذا بعدين بقول بس هذا ثم هذا + +199 +00:17:25,780 --> 00:17:29,820 +مع هذا مع هذا فدايما التاني بيكون اكبر من الأولاني + +200 +00:17:30,060 --> 00:17:33,560 +فقول لأ طيب ليه كنت تعمل هيك؟ ده لإنك بدي أعمل + +201 +00:17:33,560 --> 00:17:35,400 +summation هال gate، أنا مش واحد و اتنين و تلاتة، + +202 +00:17:35,400 --> 00:17:38,420 +احسن أقول اضحكتوا عليا تلاتة و أربعة و يا دو كلنا + +203 +00:17:38,420 --> 00:17:41,220 +نجيب اتنين و تلاتة، هيك بدي أعمل عشرة، كم بدي + +204 +00:17:41,220 --> 00:17:45,420 +أعمله؟ فقول the total work required to assemble + +205 +00:17:45,420 --> 00:17:48,760 +all this system عندي جزء كبير من ال system، عدة + +206 +00:17:48,760 --> 00:17:53,780 +دخل، ده اللي هيكمل سنةجالي هالي بيبقى بتعمل في + +207 +00:17:53,780 --> 00:17:58,040 +جمعين لإن انت بتجمع اتنين بتقعد بتجمع فبقى لإنه + +208 +00:17:58,040 --> 00:18:01,220 +هنا واحد اتنين و واحد تلاتة و اتنين تلاتة هذا + +209 +00:18:01,220 --> 00:18:04,360 +بتغير و هذا بتغير اتنين بتغيره فحطيه double + +210 +00:18:04,360 --> 00:18:07,400 +summation بس انت باقى ال energy لازم تكون أكبر من + +211 +00:18:07,400 --> 00:18:12,780 +Iها شوفوا .. هذي دايما بكون من هنا ببدأ يعني اذا + +212 +00:18:12,780 --> 00:18:17,080 +بدأت من ها باقي ها؟ لأ باقيش ها باقي واحد وبالتالي + +213 +00:18:17,080 --> 00:18:23,600 +دايما J أكبر من I عشان أضمن انه مايرجعش واحد تانين + +214 +00:18:23,600 --> 00:18:26,580 +و اتنين واحد واحد تلاتة تلاتة واحد فانتوا عليا؟ + +215 +00:18:26,580 --> 00:18:30,580 +تمام طيب + +216 +00:18:30,580 --> 00:18:34,080 +هذه المفهومة طبعا تعرفون تفكر؟بتعرف فوق ال + +217 +00:18:34,080 --> 00:18:40,160 +summation عشان انا مبتدئين بال mathematics بعيني + +218 +00:18:40,160 --> 00:18:43,480 +او كده كده كده كده كده كده كده كده كده كده كده كده + +219 +00:18:43,480 --> 00:18:43,740 +كده كده كده كده كده كده كده كده كده كده كده كده + +220 +00:18:43,740 --> 00:18:45,400 +كده كده كده كده كده كده كده كده كده كده كده كده + +221 +00:18:45,400 --> 00:18:48,540 +كده كده كده كده كده كده كده كده كده كده كده كده + +222 +00:18:48,540 --> 00:18:54,480 +كده كده كده كده كده كده كده كده كده كده كده كده + +223 +00:18:54,480 --> 00:18:56,640 +كده كده كده كده كده كد + +224 +00:19:02,660 --> 00:19:12,560 +و1j زائد ال summation لل j بيو 2 بيوجي على R2j + +225 +00:19:12,560 --> 00:19:17,640 +وهكذا بمشي تمام؟ افهمتوا عليها كيف يا بنات؟ هالجدي + +226 +00:19:17,640 --> 00:19:23,400 +تطلعش بالجهاد بيفك هذه اشتي ثابتها دي واحد لكن ال + +227 +00:19:23,400 --> 00:19:29,720 +j من أكبر من I يعني اكبر من واحد من أكبر من اتنين + +228 +00:19:30,920 --> 00:19:35,640 +واحد تنين، واحد تلاتة، واحد أربعة، واحد خمسة، لا + +229 +00:19:35,640 --> 00:19:40,140 +شضا عندك مية. اذا هذا الكل كله بيجي هنا اتنين ايش + +230 +00:19:40,140 --> 00:19:44,140 +وراها؟ تلاتة، اتنين، تلاتة، اتنين اربعة، اتنين، + +231 +00:19:44,140 --> 00:19:48,880 +خمسة عشان الشرق هذا. فلازم تكون هذه اكبر من هذه. + +232 +00:19:49,200 --> 00:19:53,280 +يعني هذه لازم تبدأ من تلاتة وهذه لازم تبدأ من + +233 +00:19:53,280 --> 00:19:57,780 +اتنين. وهكذا بمشي. فهمتوا عليا كيف؟ وهكذا من فوق. + +234 +00:20:11,080 --> 00:20:15,800 +طيب قاللي طيب هو انت هذه الشرط هيغلبني لو بدى ايدي + +235 +00:20:15,800 --> 00:20:20,020 +اعمل تكامل او حول التكامل هيغلبني لو جبته الشرط + +236 +00:20:20,020 --> 00:20:24,040 +ايش ممكن عندك فرق؟ قاللي ولا اشي واحد تنين و اتنين + +237 +00:20:24,040 --> 00:20:27,400 +واحد واحد تلاتة تلاتة واحد واحد اربعة واربعة واحد + +238 +00:20:27,400 --> 00:20:31,280 +مضبوط يعني طيب يعني ايه الشيء قد ضعف ده سبعة اتنين + +239 +00:20:31,280 --> 00:20:38,980 +وخلصنا تمام فإيش بتقوللي بعد ما عملت هذا قاللي هذا + +240 +00:20:38,980 --> 00:20:44,630 +الشرط اللي هيغلبكجسمها 2 و جيب الشرق بس .. مستحيل + +241 +00:20:44,630 --> 00:20:48,830 +يكون عندك I بتساوي J مظبوط ولا لأ؟ I لات تساوي J + +242 +00:20:48,830 --> 00:20:51,010 +لأنه مافيش عندك واحد واحد اتنين اتنين تلاتة تلاتة + +243 +00:20:51,010 --> 00:20:55,170 +اربعة اربعة بس انت جيبت الشرق هذا يعني على ال top + +244 +00:20:55,170 --> 00:20:57,670 +يكون فيه واحد تلاتة تلاتة واحد واحد اربعة واربعة + +245 +00:20:57,670 --> 00:21:01,010 +واحد اتنين تلاتة اتنين اتنين اتنين صح؟ ال .. ال .. + +246 +00:21:01,010 --> 00:21:05,590 +الكلمات يجب ان تكون عشرة و عشرين جسمها 2 بيجيب + +247 +00:21:05,590 --> 00:21:15,310 +عشرة خلصنا تمام هذا ..هذا omega او w وهذا يتساوى + +248 +00:21:15,310 --> 00:21:19,710 +ان هذه ما كان في وصفها فيها ثمة عكسية طالة حمص و + +249 +00:21:19,710 --> 00:21:24,330 +ردعنا هذه اربعة باي ابسل نونة وهذه Qi وهذه QG طبعا + +250 +00:21:24,330 --> 00:21:32,570 +هذا شو هذا؟ هذا جوجل هذا جوجل كيك يو علاء هذا جوجل + +251 +00:21:33,100 --> 00:21:39,060 +هذا اللي طبعًا عملته انا و قلت عنه V18 بظبط او لا + +252 +00:21:39,060 --> 00:21:44,760 +هذا الشغل اذا معناته صار في عندك انت الشغل بيساوي + +253 +00:21:44,760 --> 00:21:53,760 +نص Q في جهود و خلصنا نص Q في جهود تمام كل هذا عشان + +254 +00:21:53,760 --> 00:21:56,840 +اقول ان انا هذه المعادلة انا بتعمل summation انا + +255 +00:21:56,840 --> 00:22:00,620 +بتعمل دكارة انا افضل اسكلت باعت continuous اقول لك + +256 +00:22:00,620 --> 00:22:09,270 +هذه بسيطة اشتري QRDQ والصم integration والـVV + +257 +00:22:09,270 --> 00:22:14,590 +مظبوط؟ إذا معناته بيقول الـ energy of continuous + +258 +00:22:14,590 --> 00:22:18,490 +charge distribution لو كان عندي continuous charge + +259 +00:22:18,490 --> 00:22:22,630 +distribution for a continuous charge density + +260 +00:22:22,630 --> 00:22:29,890 +equation becomes بدل QR صارت DQ وبدل V ما هي V + +261 +00:22:29,890 --> 00:22:35,920 +والنص صار أكبر و نصقال لنهو ديتا لا سجما دي ايه + +262 +00:22:35,920 --> 00:22:41,900 +لنبدا دي ايه كلنا بنعرفه حلو هاي قانون جديد إذا + +263 +00:22:41,900 --> 00:22:46,080 +صار في عندي القانون هذا ان ال work أو ال energy + +264 +00:22:46,080 --> 00:22:57,900 +سواء نص تكامل DQV of R طيب؟ + +265 +00:22:57,900 --> 00:23:01,480 +where the integral is to be performed over the + +266 +00:23:01,480 --> 00:23:04,550 +charge distributionوانت كما بيقول اننا نعمله على + +267 +00:23:04,550 --> 00:23:11,850 +charge لأنه أصلا DQ تمام بدنا نشوف هناك حاجة قالت + +268 +00:23:11,850 --> 00:23:15,030 +طيب تعرف ان دول دقطة ال E بالسبب رو ع الأبسل نوت + +269 +00:23:15,030 --> 00:23:20,370 +قارون أيش هذا يسمينا هذا ال differential form of + +270 +00:23:20,370 --> 00:23:25,790 +Gauss's law حلو تقدر هذه رو تعوض عنها ابسل نوت في + +271 +00:23:25,790 --> 00:23:30,350 +دقطة ال E ولا لا اه مش هذه رو وهذه رو charge + +272 +00:23:30,350 --> 00:23:37,820 +densityو متساوى و في إبسلل نوت طبعه بره على two و + +273 +00:23:37,820 --> 00:23:45,780 +بدل رو حطيه دي هادي هي هالي هو هلأ و هو هالي مع + +274 +00:23:45,780 --> 00:23:54,540 +الهالي مظبوطيك ولا لأ طيب دي بدل ايه و في عندك فيه + +275 +00:23:54,540 --> 00:23:57,840 +احنا بقعدوا نخبصوا في الرياضيات شوية مش بتطلع + +276 +00:23:57,840 --> 00:24:01,520 +معاهم جالوا + +277 +00:24:02,590 --> 00:24:08,210 +تفاضل حاصل الضرر سمعته فيه؟ اه سمعنا فيه بيساوي + +278 +00:24:08,210 --> 00:24:12,850 +الأول في مستقل التاني زائد مستقل الأول في التاني + +279 +00:24:12,850 --> 00:24:18,970 +حلو جال خل الأول والتاني واحد في واحد دي صار الأول + +280 +00:24:18,970 --> 00:24:23,210 +في مستقل التاني زائد التاني في مستقل الأول دي + +281 +00:24:23,210 --> 00:24:28,570 +معناته هذه وإيها؟ + +282 +00:24:28,570 --> 00:24:28,790 +هي + +283 +00:24:33,220 --> 00:24:38,300 +ماذا يعني هذي بتساوي؟ بتساوي هذي نخص هذي صحيح؟ + +284 +00:24:38,300 --> 00:24:42,980 +تهتم .. using the divergence theorem and noting + +285 +00:24:42,980 --> 00:24:48,700 +that دليل V بتساوي سالب E أول واحدة واحدة جالي هذي + +286 +00:24:48,700 --> 00:24:54,740 +بتساوي هذي نخص هذي فصار عندى دليل ضد ال E في ال V + +287 +00:24:54,740 --> 00:24:58,140 +بتساوي دليل + +288 +00:25:04,340 --> 00:25:09,920 +Dot دل ال V مش هتقرأ هدى ساوي هدى ناقص هدى صح ولا + +289 +00:25:09,920 --> 00:25:16,800 +لأ هالجيل جالي هدى دل ال V مش بيساوي E بالثالث مش + +290 +00:25:16,800 --> 00:25:24,860 +دل ال V ثالث E يعني هدى ثالث ساوي دل Dot V E plus + +291 +00:25:24,860 --> 00:25:28,940 +E تلمية يعني E ناقص وناقص ثالث plus + +292 +00:25:33,130 --> 00:25:39,150 +قال إذا ال work بتساوي بدل + +293 +00:25:39,150 --> 00:25:47,250 +اللي احنا عاملينهان صارت + +294 +00:25:47,250 --> 00:25:52,510 +دلق ضبط VE plus + +295 +00:25:52,510 --> 00:25:57,970 +E تربيع دي TAU طبعا أبسلون نوت فصارت بهذه الكيفية + +296 +00:26:05,930 --> 00:26:11,030 +هذه مكتوبة هنا هذه + +297 +00:26:11,030 --> 00:26:17,050 +كانت تكامل الفوريو كانت dil dot ve صح؟ قبل هذه إيش + +298 +00:26:17,050 --> 00:26:22,890 +كانت تقول؟ كانت مكتوبة كانت dil dot ve details صح + +299 +00:26:22,890 --> 00:26:26,270 +ولا لأ؟ كنت أكملها، دي already مصحبة انا بقعد أاخد + +300 +00:26:26,270 --> 00:26:29,210 +divergence، أضربهم في بعض، أجيب divergence اتسكّف + +301 +00:26:29,210 --> 00:26:33,670 +في حاجة ده هوياها اسمها ال divergence theory صح + +302 +00:26:33,670 --> 00:26:37,580 +ولا لأ؟رجعنا لشكرة واحدة عشان كده أخدنا ال + +303 +00:26:37,580 --> 00:26:40,880 +divergence theory قال إن ال divergence theory + +304 +00:26:40,880 --> 00:26:45,520 +بتحول تكامل ال volume على ال divergence ال surface + +305 +00:26:45,520 --> 00:26:50,300 +integrals، صح؟ قال، يا حلو، if a body كيك كده بتحط + +306 +00:26:50,300 --> 00:26:56,980 +V أسهل، أسهل إيه شرط مغلقا؟ قال، لو كان ال volume + +307 +00:26:56,980 --> 00:27:04,420 +تبعك كل space، كل space، وين صبحك؟وين؟ يعني عند أي + +308 +00:27:04,420 --> 00:27:10,780 +من مختار؟ طيب، على الخارج، كرة، ده مش محيط، سطحك + +309 +00:27:10,780 --> 00:27:14,580 +المحيط ده دائر، اه كده لما تقول الخارج ماعندك سطح، + +310 +00:27:14,580 --> 00:27:21,280 +فانت تقول كرة الكرة، كل space، وين سطحك؟ وين سطحك؟ + +311 +00:27:21,280 --> 00:27:25,140 +ما هو هنا؟ وين؟ وين موجود؟ لما أقول كل space، يعني + +312 +00:27:25,140 --> 00:27:29,880 +وين؟ هنا أوليجي ال .. الجامعة؟ عند المدرسة + +313 +00:27:29,880 --> 00:27:38,210 +الأخيرة؟ صح؟أيه هو التكامل يا عزيزي؟ كمية من المن + +314 +00:27:38,210 --> 00:27:48,910 +نهاية؟ Zero او لا تكامل؟ لو انا بدي اكامل حجم بدي + +315 +00:27:48,910 --> 00:27:52,870 +اكامل من ال zero للمن نهاية، صح؟ عشان كل ما هو + +316 +00:27:52,870 --> 00:27:57,330 +الحجم الشخصيالـ V تـdify دي R صح؟ الـ R نيونا و M + +317 +00:27:57,330 --> 00:28:01,450 +تتغير من صفر للمن نهاية و أنا ماشي من الصفر V تكون + +318 +00:28:01,450 --> 00:28:04,970 +الـ Zero إيه الحقيقة؟ بضلني أجمع V و E بضلني أجمع + +319 +00:28:04,970 --> 00:28:08,210 +أجمع لكن لما أكون أنا على السطح لما أكون على ال + +320 +00:28:08,210 --> 00:28:10,310 +surface أنا أقعد في المن النهاية و أنا مش في المن + +321 +00:28:10,310 --> 00:28:13,770 +النهاية أرثة تقعد في المن النهاية و V عند المن + +322 +00:28:13,770 --> 00:28:18,370 +النهاية و E عند المن النهاية Zero بيقول لي if the + +323 +00:28:18,370 --> 00:28:22,350 +integral is to be performed over all the space إذا + +324 +00:28:22,350 --> 00:28:26,160 +بحتعمل تكمل على كل spacethe first integral + +325 +00:28:26,160 --> 00:28:31,060 +vanished ليش؟ بيقول اللي قاله ايه؟ goes to zero as + +326 +00:28:31,060 --> 00:28:35,840 +r goes to ملا نهاية انت في ملا نهاية وهي روعة الـ + +327 +00:28:35,840 --> 00:28:39,800 +divergence theory تكامل كامل بدل ما تقعد سنين و + +328 +00:28:39,800 --> 00:28:45,340 +تتحلفي شرطة تقول روح طبعا بدل ما تحسب و تقعد + +329 +00:28:45,340 --> 00:28:48,740 +صفحتين تلاتة تحسب و بيطلع عقل zero من الأول انت + +330 +00:28:48,740 --> 00:28:53,500 +تطبق النظرية بيطلع معاه zero تمت أي صفقة؟ + +331 +00:28:56,230 --> 00:29:03,010 +إذا صار هذا روح إيه طبعا إيه دي؟ خلّيها بتساوي نص + +332 +00:29:03,010 --> 00:29:10,150 +تكامل ايه؟ تربيع detail طلعوا + +333 +00:29:10,150 --> 00:29:16,090 +إيه الفرق ما بين هذا و ما بين هذا هذا DQ بتكمله + +334 +00:29:16,090 --> 00:29:22,030 +على DQ يعني بتكمله على وين فيه شحنات هذا شرطه + +335 +00:29:22,030 --> 00:29:26,790 +اتكمله على كل spaceوإلا كان مروحتيش هذا، صحيح ولا + +336 +00:29:26,790 --> 00:29:32,570 +لا؟ إذاً هذا شرطه لازم يكون التكامل على كل ال + +337 +00:29:32,570 --> 00:29:38,930 +space تلعبش كده بقى هنا over all the space over + +338 +00:29:38,930 --> 00:29:43,470 +all the space يعني بستخدم هذا القانونلكن تقوله على + +339 +00:29:43,470 --> 00:29:46,730 +كل space، إذا هذا overall ال space وهذا ع ال DQ، + +340 +00:29:46,730 --> 00:29:50,310 +مهم ضيق، ع الشحناة، يعني لما يكون في عندي أنا قرة + +341 +00:29:50,310 --> 00:29:54,030 +هي المشحونة، بقول نسفل نسخة القرة، بعد كده مافيش + +342 +00:29:54,030 --> 00:29:57,430 +شيء، لما بدأت تستخدم هذه، يعني المفروض أن أنا عندي + +343 +00:29:57,430 --> 00:30:00,350 +قرة مشحونة، هاي القرة، هاي كلها شحنات + +344 +00:30:03,890 --> 00:30:09,850 +طبعاً لما بدأت أجي على هذه دي تاو وهذه دي + +345 +00:30:09,850 --> 00:30:13,170 +تاو وهذه دي تاو ايش بتفرق؟ دي تاو هي عبارة عن اكتر + +346 +00:30:13,170 --> 00:30:16,130 +بي عصان دي تا دي دي تا دي تا دي تا دي تا دي تا دي + +347 +00:30:16,130 --> 00:30:20,570 +تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +348 +00:30:20,570 --> 00:30:21,030 +دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي + +349 +00:30:21,030 --> 00:30:25,950 +دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +350 +00:30:25,950 --> 00:30:28,730 +دي تا + +351 +00:30:31,100 --> 00:30:36,220 +ولو عندك نص كرة ثيتا هنا من صفر لبعض على ثمين لكن + +352 +00:30:36,220 --> 00:30:41,020 +هنا من صفر لبعض لان كامل هاي الفرق بين ال two + +353 +00:30:41,020 --> 00:30:45,420 +equations واحدة انت بتكملها على ال volume على ال + +354 +00:30:45,420 --> 00:30:49,860 +charge distribution وواحدة you have to perform the + +355 +00:30:49,860 --> 00:30:53,580 +integral over all the space يعني هو شرط النظرية + +356 +00:30:53,580 --> 00:30:58,980 +وانت قاعد تشتغل و طلعت المعادلة تمامي بس انصافي + +357 +00:30:58,980 --> 00:31:00,140 +عندي انا قارونين + +358 +00:31:05,160 --> 00:31:08,240 +و أحيانًا بأجبرك في الامتحانة على أي قانون تستخدم + +359 +00:31:08,240 --> 00:31:11,960 +و أحيانًا بفلتك لحالك بس لما فلتك لحالك بتكون واضح + +360 +00:31:11,960 --> 00:31:15,880 +إيش هو اللي بتستخدمه لإنه في واحد أسمنت تاني بيكون + +361 +00:31:15,880 --> 00:31:19,380 +في التعامل خلّيني أشوف حلوًا المثال find the + +362 +00:31:19,380 --> 00:31:25,080 +energy of a uniformly charged spherical shell of + +363 +00:31:25,080 --> 00:31:28,740 +charge Q and radius capital R الشل هذا ما أخدناه، + +364 +00:31:28,740 --> 00:31:32,480 +كم مرة حلناها؟ كتير، هو نفس الشل هو اللي بتدي ال + +365 +00:31:32,480 --> 00:31:38,420 +energy، مظبوط هيك؟طبعاً نذكر مع بعض الـ shell هذا + +366 +00:31:38,420 --> 00:31:45,120 +تينو أكتر من حاجة عملتها و ليه? E M متساوى سكر E R + +367 +00:31:45,120 --> 00:31:53,240 +متساوى K Q على R تنبيه R ذاتي V M متساوى K Q على + +368 +00:31:53,240 --> 00:32:00,400 +كامتها Rو V out سوى KQ على R هل ذاكرينهم؟ فحلناهم + +369 +00:32:00,400 --> 00:32:03,460 +بطرق تانية إذا كنتوا ذاكرينهم حلناهم بطرق تانية + +370 +00:32:03,460 --> 00:32:08,380 +حلناها من التكامل و جيبنا gauss اللي هم هدول و + +371 +00:32:08,380 --> 00:32:11,400 +حلناها خدنا عنصر و اشتغلنا و هديوه بواسطة كم Gauss + +372 +00:32:11,400 --> 00:32:17,480 +كنا بنعمله طيب solution طبعا solution one بدي أسخن + +373 +00:32:17,480 --> 00:32:22,250 +نفسي الطرق تانية لان عشان نشوف إيش الفرقكيف يتعامل + +374 +00:32:22,250 --> 00:32:25,390 +معه؟ بدي أستخدم القانونين القانونين الأعلى أينهم؟ + +375 +00:32:25,390 --> 00:32:33,570 +و بساوي نصف تكامل DQ في V و بساوي Y نصف على 2 + +376 +00:32:33,570 --> 00:32:40,750 +تكامل E تربيع DQ مظهرش ولا؟ حلو هذا التكامل انبهر + +377 +00:32:40,750 --> 00:32:45,510 +على DQ وهذا التكامل على W على كل الـ space تمام + +378 +00:32:45,510 --> 00:32:50,810 +بقول using equation 26 هي هذهطبعا اتطلعوا ال DQ + +379 +00:32:50,810 --> 00:32:55,810 +لابصير Lambda D L لابصير Sigma D A لابصير رو D Tau + +380 +00:32:55,810 --> 00:33:00,670 +صح؟ ايش الشكل اللي عندي؟ Spherical اه بس صدح ولا + +381 +00:33:00,670 --> 00:33:07,850 +حجم ولا طول صدح فال DQ يصير Sigma D A حفظ Sigma D + +382 +00:33:07,850 --> 00:33:11,470 +A اول + +383 +00:33:11,470 --> 00:33:15,230 +حاجة بدين D E بال Spherical Coordinates ايش هو + +384 +00:33:15,230 --> 00:33:16,650 +الثاني؟ + +385 +00:33:18,400 --> 00:33:24,420 +إذاً معناته الـDA نتذكر الـDL عبارة عن ADRRH + +386 +00:33:24,420 --> 00:33:33,300 +RDFHRSINFETADFI + +387 +00:33:33,300 --> 00:33:40,400 +R لو تبقى معاكم هذا الـDA باتجاه الـR صح أو لا؟ + +388 +00:33:40,400 --> 00:33:48,250 +إذاً الـDA بتساوي R تربيةSin θ D θ D Phi .. دي هي + +389 +00:33:48,250 --> 00:33:52,550 +القرارات الشوية التالية بتقولنا؟ اوه ايش قايمته؟ + +390 +00:33:52,550 --> 00:34:00,050 +انا بضحك ولا؟ حلو بيقولي but V طب الشيه يا V هذه؟ + +391 +00:34:00,050 --> 00:34:06,210 +قلهم هذي V ان انت واحد تقها V عند الشحناء يعني انت + +392 +00:34:06,210 --> 00:34:09,530 +بتكفي وين؟ انت على السطح انت ماشي كل التكامل اللي + +393 +00:34:09,530 --> 00:34:12,570 +لك على السطح اذا بنتكفيه على السطح يقولي جيبكي على + +394 +00:34:12,570 --> 00:34:12,910 +السطح + +395 +00:34:19,850 --> 00:34:22,510 +بطولة لأ فانا أكتب الكلمة على السطح و هي عالية + +396 +00:34:22,510 --> 00:34:25,370 +وبالتالي بدك جهود طول ما انت ماشي بدكي جهود عندك + +397 +00:34:25,370 --> 00:34:29,370 +كل نقطة رايحة بدكي جهود الموضوع مافيش غيره مافيش + +398 +00:34:29,370 --> 00:34:34,910 +غيره إذا معناته بقوله but V on the surface is + +399 +00:34:34,910 --> 00:34:39,770 +constant and equal to V equal kick U over capital + +400 +00:34:39,770 --> 00:34:47,410 +R اللي كتبت هنا حلو إذا الشغل طلعته على طول واحد + +401 +00:34:47,410 --> 00:34:52,420 +يقول كيف طلعته؟ يقول خليني أطلعهذه خلصنا منها إذا + +402 +00:34:52,420 --> 00:34:57,340 +الشغل صار سيجما على اتنين طلعت سيجما بارعة طب أطلع + +403 +00:34:57,340 --> 00:35:05,560 +يعني فيه كمان بارعة تابت طب و هذا تكامل ال D بإيش؟ + +404 +00:35:05,560 --> 00:35:08,580 +مظبوط؟ + +405 +00:35:08,580 --> 00:35:12,160 +تكامل ال D أسمها و S و S ال surface على الكورة ده + +406 +00:35:12,160 --> 00:35:16,900 +إيش؟ أربعة باقعة تابين طب سيجما إيش بيصار؟ طب ما + +407 +00:35:16,900 --> 00:35:22,680 +هي سيجما بيصار Q على السطحصحيح؟ وهذه هي قصارى + +408 +00:35:22,680 --> 00:35:32,220 +بساوية سيجنا في a التي هي 4 πي R تردية عكسي أن هذه + +409 +00:35:32,220 --> 00:35:36,720 +عبارة عن K اللي هو 1 على 4 بي أبسل نقطة Q على R + +410 +00:35:36,720 --> 00:35:46,520 +وهذه ليست Q هذه قصارى K تردية طبعا + +411 +00:35:46,520 --> 00:35:53,260 +طلع على النتيجةبالطريقة الأولى بدي انا الطريقة + +412 +00:35:53,260 --> 00:35:59,660 +التانية بدي هذه هاجد + +413 +00:35:59,660 --> 00:36:05,400 +انا بدي دي تاو هذه دي تاو فيش فيها surface بغض + +414 +00:36:05,400 --> 00:36:09,460 +النظر ايش الشكل اللي عندك هذه دي تاو دائما شوفوا + +415 +00:36:09,460 --> 00:36:14,700 +هذه دي Q تحولت مرة لدي L ومرة لدي A ومرة لدي D تاو + +416 +00:36:14,700 --> 00:36:24,200 +بس هذهدائما دي تاو دي تاو دي تاو دي تاو دي + +417 +00:36:24,200 --> 00:36:42,700 +تاو دي تاو دي تاو دي تاو دي تاو دي تاو + +418 +00:36:44,580 --> 00:36:47,740 +و بعدين ايه ما تروح .. اي مللي نهاية .. اذا تبدأ + +419 +00:36:47,740 --> 00:36:50,920 +من zero .. ده المللي هنا .. حلو .. ال theta من + +420 +00:36:50,920 --> 00:36:54,880 +zero ل .. ل .. ل by .. و ال phi من zero ل اتنين by + +421 +00:36:54,880 --> 00:36:59,120 +.. مظبوط ولا .. حلو .. اتطلعوا على الحمرحان .. ايه + +422 +00:36:59,120 --> 00:37:01,660 +شهور ممكن تكملي .. شفت قروني بعد اشتغالين .. ايه + +423 +00:37:01,660 --> 00:37:04,780 +الشهور اللي دي هو التكمل؟ المجان .. المجان تقرأت + +424 +00:37:04,780 --> 00:37:06,800 +.. تقرأت .. اتطلعت .. نسيت لمّا المللي نهاية .. + +425 +00:37:06,800 --> 00:37:09,680 +لمّا المجان عشان واحد .. ولا مجانين .. + +426 +00:37:16,080 --> 00:37:21,600 +يجب أن أجسم تكابلي من صفر لكابتن R اي energy اخد + +427 +00:37:21,600 --> 00:37:26,040 +اي little field اخد N من كابتن اعلى من النهاية لذا + +428 +00:37:26,040 --> 00:37:32,360 +هذا التكابل سيصبح عندي ايسلون نول عتنين تكابل من + +429 +00:37:32,360 --> 00:37:40,610 +صفر لكابتن R E NR تربيع SIN FETA D FETA E FI D A + +430 +00:37:40,610 --> 00:37:49,250 +زائد أبسل نوتة ما تنين تكوين من R لما نهاي ال E أو + +431 +00:37:49,250 --> 00:37:58,430 +طبعا تربيع تربيع ايه + +432 +00:37:58,430 --> 00:38:05,230 +يا جماعة انا ماقلتش Eتخيل عيش بالمخ، قديرش، Zero، + +433 +00:38:05,230 --> 00:38:12,690 +غدا، طيب، روح حلو من هناك؟ طيب، روح، ترهادة، طب من + +434 +00:38:12,690 --> 00:38:18,770 +وين هو؟ هايو، هايو، بس هناك أرض تربية، وهناك عندك + +435 +00:38:18,770 --> 00:38:24,720 +أرض تربيةروحت تكامل .. بيصير عندك تكاملات طبعا ما + +436 +00:38:24,720 --> 00:38:27,740 +روحتش لإن هذي بده ربعها فهذا بيصير ا رقص أربعة + +437 +00:38:27,740 --> 00:38:32,200 +فخلّأ متربعة لإنه ايه تربية خلّيني أعملها unit + +438 +00:38:32,200 --> 00:38:42,200 +push 26 اللي هو epsilon تربية دي + +439 +00:38:42,200 --> 00:38:47,360 +تاب قاللي هذه على طول جسمت زي ما حكت قدر من صفر ل + +440 +00:38:47,360 --> 00:38:54,880 +capital REN² ذائب من capital R لما نهاية E out + +441 +00:38:54,880 --> 00:39:04,280 +تربية طبعا ال E in Zero وال E out هي U ربعه صار Q + +442 +00:39:04,280 --> 00:39:09,100 +تربية وهدوس أقصى أربعة وفي جي التوكي من R تربية + +443 +00:39:09,100 --> 00:39:14,500 +فصارت DR على R تربية فهذه هيهذه R أقصى أربعة وهذه + +444 +00:39:14,500 --> 00:39:20,200 +R تنبيه تكامل DR على R تنبيه سنة واحد على A من A + +445 +00:39:20,200 --> 00:39:24,660 +capital R لمن نهاية واحد عمل نهاية سفر ناقص + +446 +00:39:24,660 --> 00:39:32,900 +استفسار زائد وبنروح نقولها وطلعت نفس النتيجة أي + +447 +00:39:32,900 --> 00:39:33,680 +استفسار؟ + +448 +00:39:43,200 --> 00:39:47,000 +حلو احنا هجيتي علمتكوا اننا five ثابت على الصدع + +449 +00:39:47,000 --> 00:39:51,500 +اللي هيك اه اه ال DM's لو بدنا نجيب ال DM's ال + +450 +00:39:51,500 --> 00:39:54,360 +five كان ثابت طب هل جيت five and one لوين؟ يعني + +451 +00:39:54,360 --> 00:39:56,320 +تبقى من six ل five ايه الشتشة اللي قولت أيه شهود + +452 +00:39:56,320 --> 00:40:00,700 +ثابت؟ five لإن ما بتلفش five و الكلية كانت بتقولي + +453 +00:40:00,700 --> 00:40:05,140 +five من و لا وين لأ لو بدنا نعوض فيها كنتيك بتسوي + +454 +00:40:05,140 --> 00:40:08,560 +ال five بما أنه ثلاث و نصف اذا ما .. اه بما أنك + +455 +00:40:08,560 --> 00:40:13,800 +تبت ثلاثين و بقى fiveحسب سفر .. خد يا .. سفر .. + +456 +00:40:13,800 --> 00:40:18,200 +سفر .. طب انا مابهمش .. انا اتنين باقى صح .. بس + +457 +00:40:18,200 --> 00:40:22,260 +ابتفرج اتنين باقى عن سفر .. لأ لإن .. نفس النقطة + +458 +00:40:22,260 --> 00:40:26,120 +.. نفس النقطة .. فانتيني .. كم تكوني ثابتة و كم + +459 +00:40:26,120 --> 00:40:29,140 +تكوني نولوين .. لأ انا مش قادرة .. كم تش بتساوي .. + +460 +00:40:29,140 --> 00:40:32,760 +اه انا مش قادرة .. زيرو .. طب هجد تقديها من سفر + +461 +00:40:32,760 --> 00:40:37,400 +لبياناتك .. لإنها بت .. كاملة .. ماتكلها .. مش ربع + +462 +00:40:37,400 --> 00:40:40,990 +.. لو ربع تسمي سفر لبيانة اتنين ..عايزة تقول سبن + +463 +00:40:40,990 --> 00:40:48,250 +لربع السين خيالنا نشوف بس بالظبط كيف .. انت + +464 +00:40:48,250 --> 00:40:55,110 +.. اه كنتي حاضرة وقع نور قالت على دسانكم ان يوم + +465 +00:40:55,110 --> 00:40:59,690 +التنين بعد المحاضرة بكوا discussion صح يعني اه + +466 +00:40:59,690 --> 00:41:04,410 +قالوا .. اه لو في شغل تاني كانوا لأ مش بسمحنا تحت + +467 +00:41:04,410 --> 00:41:05,330 +على دساننا + +468 +00:41:08,730 --> 00:41:26,710 +بدي كنت ربع السفير يا أبويا مناقشة + +469 +00:41:26,710 --> 00:41:28,830 +بعد المحاضرة؟ اه اه والله المحاضرة + +470 +00:41:47,200 --> 00:41:50,600 +أيوة يا ربع السفير + +471 +00:41:58,090 --> 00:42:05,150 +أه كام سطح فيه أول؟ انتفج .. انتفج .. كانت هم أربع + +472 +00:42:05,150 --> 00:42:10,510 +أول، نكفي .. أه + +473 +00:42:10,510 --> 00:42:16,610 +الحمد لله، عدالت لحالك يعني، مين عده؟ علشان اللي + +474 +00:42:16,610 --> 00:42:21,030 +.. اللي نعسان، اللي جاهز على الأرض، واحد، اللي + +475 +00:42:21,030 --> 00:42:25,470 +مدور، اتنين، اللي رايح على ال lift، و اللي مزج في + +476 +00:42:25,470 --> 00:42:31,690 +الحيطة، أربعأنت قلت اللي على الـ left فيتا بيساوي + +477 +00:42:31,690 --> 00:42:37,870 +سفر فاي بتساوي سفر فاي بتساوي سفر فاي بيلاقي ملزقة + +478 +00:42:37,870 --> 00:42:44,630 +في الحيطة اشي تثابت فيه؟ ملزقة الحيطة، circle + +479 +00:42:44,630 --> 00:42:50,090 +coordinates اللي بيحتها؟ فاي، + +480 +00:42:50,090 --> 00:42:55,010 +فده يخمتها، مش انت ثابتها يعني انك مش خمتها على + +481 +00:42:55,010 --> 00:43:02,690 +طولشوفي أنتي .. وين فيا؟ بتخيلها اسمك فين؟ روسيا؟ + +482 +00:43:02,690 --> 00:43:10,370 +وين فيا؟ انت عارفها وين؟ فيا هينا لما + +483 +00:43:10,370 --> 00:43:15,270 +تصيري أنتي هنا، جديش فيا؟ فيا عدنية .. فيا عدنية + +484 +00:43:15,270 --> 00:43:18,990 +ارسموا، اتخلبوش حقكوا، ارسموا عشان تتخيلوا صح في + +485 +00:43:18,990 --> 00:43:21,510 +الضحك، خصوصا ليسوا ورقوا في الضحك، بتعملوش زي انا، + +486 +00:43:21,510 --> 00:43:23,550 +اللي بدي يجي يرسم ويجي يجي مش حاجة معاه، بيقولوا + +487 +00:43:23,550 --> 00:43:25,810 +كل شي يعملوا، بيقولوا يابا عمل لطفا يا انا ويابا + +488 +00:43:26,460 --> 00:43:31,900 +جيبله حد كل حاجة عشان يعرف كيف يسوي .. جيبوها + +489 +00:43:31,900 --> 00:43:34,100 +يقولوا file .. اقسموها file .. شوفوا ال intuition + +490 +00:43:34,100 --> 00:43:35,920 +اللي وضحها .. عشان يعرفوا انهم بتروحوا من ال + +491 +00:43:35,920 --> 00:43:39,520 +teaching .. يعني هيها file .. هيها file .. انا + +492 +00:43:39,520 --> 00:43:42,320 +عشان اقولنها على اللوح .. مش file لازم تكون هنا .. + +493 +00:43:42,320 --> 00:43:45,260 +او على الحطة هذه لازم تكون هنا .. فلازم تكون file + +494 +00:43:45,260 --> 00:43:50,900 +اما بعد N او Zero طب قللي تحتانية لش ان فاهمت فيها + +495 +00:43:50,900 --> 00:43:53,940 +.. circle coordinates .. بتليش واحد يقول ال Z + +496 +00:43:57,050 --> 00:44:03,090 +أه يا عشان تطلع الدنيا بهلمش .. تشوفوا منطقي و + +497 +00:44:03,090 --> 00:44:06,830 +بالعكس ميزة ان الواحد يخرج من الدنيا .. ميزة .. + +498 +00:44:06,830 --> 00:44:10,530 +يطلع .. شايفاها هذه .. هذه النقطة عليه في القاعدة + +499 +00:44:10,530 --> 00:44:14,730 +و ليست القاعدة .. و هذه .. نفس القارن هم؟ لأ .. لأ + +500 +00:44:14,730 --> 00:44:16,910 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +501 +00:44:16,910 --> 00:44:17,770 +لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ + +502 +00:44:17,770 --> 00:44:17,810 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +503 +00:44:17,810 --> 00:44:19,010 +لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ + +504 +00:44:19,010 --> 00:44:24,790 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +505 +00:44:24,790 --> 00:44:33,950 +لشوفت كيف ال .. الرابعة؟ + +506 +00:44:33,950 --> 00:44:39,550 +دول أنا مش فاضاني حاضر يعني في البنطقة إذا كنت فيه + +507 +00:44:39,550 --> 00:44:45,630 +.. شيء ممكن أعمله على أي + +508 +00:44:45,630 --> 00:44:49,410 +سطح تبدأ؟ على أي سطح تبدأ؟ خلّينا أول سطح تحتاني + +509 +00:44:49,410 --> 00:44:53,790 +يا عمرو شفتها سطح تحتاني؟ قاعدة موجودة هجيتكم في + +510 +00:44:53,790 --> 00:45:00,050 +قاعدة طوالة مشهودة قاعدة هنا؟هي Z axis كيفانى هى Z + +511 +00:45:00,050 --> 00:45:05,570 +axis هى تيتا عشان تكون ع الطاولة لازم تكون تيتا + +512 +00:45:05,570 --> 00:45:13,750 +تكون بتكون ع الطاولة بتفعل كلنا نقطة هى نقطة طول + +513 +00:45:13,750 --> 00:45:21,530 +ما انا ماشى جيت تيتا شايفة بيعتين صح اذا طول ما + +514 +00:45:21,530 --> 00:45:25,560 +انا ماشى ع الطاولةوالـ Z-axis هادة إذا اللاجئ + +515 +00:45:25,560 --> 00:45:28,500 +بتكون فيه تبتسسوا بقى على اتنين و القاعدة قاعدة + +516 +00:45:28,500 --> 00:45:34,100 +على الأرض على الطاولة هيها تبتديني نيجي واحد هيك + +517 +00:45:34,100 --> 00:45:40,700 +اللي هو ها هيك تمأ تمأ انا ماشي هيك انا ماشي هيك + +518 +00:45:40,700 --> 00:45:48,620 +وبالتالي فايت تبعتي هي اللي بتكون ثابتة لأنه تطلع + +519 +00:45:48,620 --> 00:45:54,090 +عنكي شوفي اعمليلي اي نقطة هنا اسقطيهامش هدوعها + +520 +00:45:54,090 --> 00:45:57,250 +هيستطيع تسقط كل النقاط أي نقطة في بالك تسقطيها على + +521 +00:45:57,250 --> 00:46:02,390 +الأرض تيجي على المحور هذه ولا لا؟ ع محور معناته + +522 +00:46:02,390 --> 00:46:05,410 +إما الصيني أو الصاضي مازال الصيني أو الصاضي إذا + +523 +00:46:05,410 --> 00:46:09,390 +الصيني فاي بتساوي صفر وإذا الصاضي فاي بتساوي باية + +524 +00:46:09,390 --> 00:46:13,090 +اتنين إذا هذا كله فاي بتساوي صفر طب اللي هنا المزج + +525 +00:46:13,090 --> 00:46:17,330 +اللي على الحيطة أيه؟ كل النقاط تسقطيها على المحور + +526 +00:46:17,330 --> 00:46:20,510 +هذه ولا لا؟ تيتا بتساوي باية اتنين؟ five + +527 +00:46:23,680 --> 00:46:30,760 +فارت تتغير فارت فاذاك تفتكر ال R اه ال R اتطلع على + +528 +00:46:30,760 --> 00:46:34,220 +السطح اللي نزل في اللوحي هادي و هادي مش كتير عين + +529 +00:46:34,220 --> 00:46:38,440 +ان هم اروا مختلفة ولا لا ليجي الى نهاك في او في او + +530 +00:46:38,440 --> 00:46:40,900 +في او في او في او في او في او في او في او في او في + +531 +00:46:40,900 --> 00:46:43,360 +او في او في او في او في او في او في او في او في او + +532 +00:46:49,570 --> 00:46:52,110 +تعقد الأمور يعني انت تعقد الأمور بالwrestling يعني + +533 +00:46:52,110 --> 00:46:54,450 +انا لو جيت و انا بدأتش من ربع قروة ده عمري ماعرفش + +534 +00:46:54,450 --> 00:46:59,970 +الحمد لله انا مرسومة في جاسر بس بقى عارف ارسوم ال + +535 +00:46:59,970 --> 00:47:05,510 +score احتي ال مساحة و في عندنا اربع مساحة اصلا + +536 +00:47:05,510 --> 00:47:08,510 +قلتت المساحة الرابعة هو نفس ال camp كله ال camp + +537 +00:47:08,510 --> 00:47:16,310 +ايش التابت فيه بقى ال A ال A يعني هنا رح يتغيروا + +538 +00:47:16,310 --> 00:47:20,860 +ان في السطحين اي سطحين ان هم سطحيناللي بتتغير + +539 +00:47:20,860 --> 00:47:25,540 +اروزيكا اللي بقى ستة خير مرة واحدة زين و واحدة مرة + +540 +00:47:25,540 --> 00:47:30,960 +bad يعني + +541 +00:47:30,960 --> 00:47:35,800 +واحد هيك و واحدين ايوه هيك و السطح قاعد هنا و + +542 +00:47:35,800 --> 00:47:38,820 +السطح قاعد هنا و السطح قاعد هنا و السطح لفهم كلهم + +543 +00:47:38,820 --> 00:47:48,780 +فده هم واحد، اتنين، تلاتة، اربع نور + +544 +00:47:50,440 --> 00:47:56,300 +طبعا؟ يوم التنين احنا شغلتنا هالشغلة، طبعا يعني + +545 +00:47:56,300 --> 00:47:58,620 +خليني اقولك التالية بنات، انا يوم التنين علاش + +546 +00:47:58,620 --> 00:48:01,720 +بدركز، بدركز على الشغلات التالية، في سؤال هذا + +547 +00:48:07,470 --> 00:48:13,370 +هدول الأسئلة هدا و هدا و هدا التلاتة هذا حلناه + +548 +00:48:13,370 --> 00:48:19,290 +عظمناه هذا طلبته اسمه عظمناه و حلناه هذا برضه جيد + +549 +00:48:19,290 --> 00:48:22,910 +و هذا كمان طبعا ما انتوا شايفين هذا طلبه بال + +550 +00:48:22,910 --> 00:48:25,350 +circle و ال syndical طبعا طلبه بال syndical بس + +551 +00:48:25,350 --> 00:48:28,610 +عشان يتفكوا فيه لإن هو مدين ال vector بال circle + +552 +00:48:28,610 --> 00:48:31,870 +coordinate عشان أحله بال syndical بدي كتير أخد وقت + +553 +00:48:31,870 --> 00:48:35,040 +أحور كل circle ل syndicalده كان من الحل لكن لو بدى + +554 +00:48:35,040 --> 00:48:37,900 +يبقى انا في امتحان في ال syndical coordinates + +555 +00:48:37,900 --> 00:48:40,600 +بجهزكوا من نصه لحيث انه يكون ال vector بال + +556 +00:48:40,600 --> 00:48:42,380 +syndical coordinates ليه مايكون في ال circle + +557 +00:48:42,380 --> 00:48:47,600 +بتحوله في ال society هدى + +558 +00:48:47,600 --> 00:48:54,980 +طبعا اللي هو اللي على عرض و اللي على الخيطة اللي + +559 +00:48:54,980 --> 00:48:58,760 +على عرض و اللي على الخيطة طيب ما زال فتحتوا المجال + +560 +00:48:58,760 --> 00:49:04,390 +نور تطلع علينا شفاني على عرضبدي اكيد circle + +561 +00:49:04,390 --> 00:49:05,970 +coordinates و syndical coordinates اول syndical + +562 +00:49:05,970 --> 00:49:11,370 +coordinates اللي تحت ايش تثبت فيه تثبت اه syndical + +563 +00:49:11,370 --> 00:49:18,950 +coordinates احكي + +564 +00:49:18,950 --> 00:49:27,650 +لك اس رو لأ syndical انا بحكي اه واش كلمة اخرى زد + +565 +00:49:27,650 --> 00:49:29,330 +زد هو اللي تبقى + +566 +00:49:34,960 --> 00:49:40,760 +سن شوية ايش H انت قلت ثابت R؟ انا بحكي Syndical + +567 +00:49:40,760 --> 00:49:44,020 +Coordinates مرجعي اللي حكيت روشان مرة هذه طلعيها + +568 +00:49:44,020 --> 00:49:47,780 +روشان لو واحد قال R ثابتة بقوله لا انت بتحكي صدق + +569 +00:49:47,780 --> 00:49:52,840 +اي هالة و اي هالة النجوطين يلهم نفس ال R؟ لا لكن + +570 +00:49:52,840 --> 00:49:57,600 +النجوطين يلهم نفس ال Z Z بتسوي Zero طب بيديس فيك + +571 +00:49:57,600 --> 00:50:02,270 +ال Coordinates ايش فيك تاني؟ Pro بدي فيك تانيرجعنا + +572 +00:50:02,270 --> 00:50:05,530 +على الأرض .. رجعنا على الطاولة .. براو عليكم طيب + +573 +00:50:05,530 --> 00:50:12,730 +ميجي ليه هذي؟ بال Syndical Coordinates ماشي + +574 +00:50:12,730 --> 00:50:19,970 +ثابت؟ ال Phi .. Phi .. Phi .. 90 درجة .. في ال + +575 +00:50:19,970 --> 00:50:23,770 +Spherical Coordinates ما هي Phi في ال Spherical + +576 +00:50:23,770 --> 00:50:25,530 +Coordinates؟ ما هي في ال Syndical Coordinates؟ ان + +577 +00:50:25,530 --> 00:50:31,130 +ال Phi كمه .. برضه Phi تبقى .. إذا سطحين يا واحد + +578 +00:50:32,000 --> 00:50:35,240 +لكن انا كام خط اكام line واحد اتنين تلاتة اربع + +579 +00:50:35,240 --> 00:50:42,280 +عشان نسكوا تمام وفي سؤال كمان اظن .. احكي في ربع + +580 +00:50:42,280 --> 00:50:44,820 +الصوانة بدي ارجعله كمان تذكريني في أحد السؤال + +581 +00:50:44,820 --> 00:50:47,340 +السؤالة هجيتش احنا بنقول مثلا الدائرة اللى تحت + +582 +00:50:47,340 --> 00:50:50,060 +الدائرة رجع الدائرة اللى تحت وقولنا بس نسقطها من + +583 +00:50:50,060 --> 00:50:53,320 +فوق بس على محور واحد بس على زاوية واحد على تانية + +584 +00:50:53,320 --> 00:50:57,640 +اتنين طب هجيت الدائرة كامةالدق يعني ولا الكورة؟ + +585 +00:50:57,640 --> 00:51:01,360 +الكورة .. الكورة الشكل عام مثلا إذا إحنا دي طبعا + +586 +00:51:01,360 --> 00:51:05,220 +فمن سنة لباى بتاع تسقطيها طب عاد أسس .. يعني كيف + +587 +00:51:05,220 --> 00:51:08,520 +بنسقطها تقريبا تيجي بقى؟ يعني إذا بتبتد من سنة + +588 +00:51:08,520 --> 00:51:12,160 +لباى لكورة .. لكورة كامة؟ براو عليك، هي كورة، هي + +589 +00:51:12,160 --> 00:51:15,600 +مأكزة أيوة، فهي كيف بتبدأ .. شوف .. شوفين النقطة + +590 +00:51:15,600 --> 00:51:16,040 +هذه؟ + +591 +00:51:20,870 --> 00:51:25,110 +ثاني شوية نقطة هذي جت إنتي تتبعتها .. هذي .. و هذي + +592 +00:51:25,110 --> 00:51:31,870 +.. هذي هي .. هذي هي جوابك .. مش أنت .. هتساعدتي .. + +593 +00:51:31,870 --> 00:51:34,850 +تجيلي وين من وين ال bar .. اللي فوق zero .. و هذي + +594 +00:51:34,850 --> 00:51:42,750 +نم .. نم .. نم .. و هذي كده .. خلصنا .. تمام؟ + +595 +00:51:42,750 --> 00:51:46,750 +موعدنا يوم التنين .. حضروا حالكم .. او حضر انا + +596 +00:51:46,750 --> 00:51:48,490 +حالي .. منكم .. + +597 +00:51:51,430 --> 00:51:52,410 +لو كنتوا لها عافية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..d2328231ce65eefadb263f800f48f95cce6755ee --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/DZmVcmeAD2w_raw.srt @@ -0,0 +1,2392 @@ +1 +00:00:21,950 --> 00:00:25,750 +بسرعة نعمل الـ Boundary Conditions نعيد اللي احنا + +2 +00:00:25,750 --> 00:00:31,230 +وصلنا له الـ Boundary Conditions اللي بتكون موجودة + +3 +00:00:31,230 --> 00:00:37,190 +و بتحكم العلاقات الكهربائية إذا كان المجال أو + +4 +00:00:37,190 --> 00:00:42,650 +الجهد between two regions along the boundary + +5 +00:00:42,650 --> 00:00:46,330 +وبالتالي اتفقنا إن لو فيها عندنا two regions + +6 +00:00:46,330 --> 00:00:51,830 +separated by a boundary، the black lineوكنا في + +7 +00:00:51,830 --> 00:00:55,970 +عندى مجال كهربائي معين في المنطقة وكنا بنشوف ايش + +8 +00:00:55,970 --> 00:01:01,960 +علاقة المجال الكهربائيhand و hand عند الحد فقلنا + +9 +00:01:01,960 --> 00:01:05,300 +ما زال احنا بنحكي عن حد بإمكاني استخدم خانون gauss + +10 +00:01:05,300 --> 00:01:11,080 +قطعا ب pill box the red pill box هناك لما جيت + +11 +00:01:11,080 --> 00:01:14,360 +طبقتها على اعتبار اني انا على ال boundary وبالتالي + +12 +00:01:14,360 --> 00:01:17,980 +ال height of the pill box is very small negligible + +13 +00:01:17,980 --> 00:01:21,800 +او بالتالي بيكون عندى just two surfaces لما عملنا + +14 +00:01:21,800 --> 00:01:24,300 +two surfaces قلنا ايه دُطل ان + +15 +00:01:35,360 --> 00:01:39,460 +بالتالي بيصير في عينيه انه + +16 +00:01:40,930 --> 00:01:45,650 +E1n-E2n Equal Sigma على أبسل نوت المضخّص إن الـ + +17 +00:01:45,650 --> 00:01:49,950 +Normal component of E is not continuous الـ Normal + +18 +00:01:49,950 --> 00:01:54,530 +component of E is not continuous و بيعتمد على الـ + +19 +00:01:54,530 --> 00:01:57,370 +Sigma بمعنى آخر لو كانت الـ Sigma Zero بيكون + +20 +00:01:57,370 --> 00:01:58,890 +continuous تابع + +21 +00:02:17,750 --> 00:02:23,590 +تمام بعد كده قلنا لو بدى اجيب انا line integral + +22 +00:02:23,590 --> 00:02:31,130 +for any loop و اختارت loop عبارة عن rectangular زي + +23 +00:02:31,130 --> 00:02:35,430 +ما احنا شايفينها with four sides و ال vertical + +24 +00:02:35,430 --> 00:02:43,200 +sides are very smallوبالتالي صار في عندي ان E1.L1 + +25 +00:02:43,200 --> 00:02:47,980 +plus E2.L2 equal to zero على اعتبار ان ال line + +26 +00:02:47,980 --> 00:02:55,120 +integral E.DL over any closed loop is zeroالـ L1 و + +27 +00:02:55,120 --> 00:02:59,160 +L2 مقارنة مع بعضها البعض وبالتالي تجارب التجارب + +28 +00:02:59,160 --> 00:03:06,980 +الـ E هي دائما مستمرة تجارب التجارب الـ E هي دائما + +29 +00:03:06,980 --> 00:03:11,980 +مستمرة جمعنا اكواشينز و حطيناهم بهذه الصيغة + +30 +00:03:11,980 --> 00:03:18,780 +حطيناهم بهذه الصيغة الان الـ E عرفنا ايه شرطه + +31 +00:03:18,780 --> 00:03:24,050 +كمصطلح المصطلح طيب يا تورا ال potentialالـ + +32 +00:03:24,050 --> 00:03:27,830 +Electric Potential ايش بده يكون وضعه قال لي خلينا + +33 +00:03:27,830 --> 00:03:31,090 +نشوف نجيب ال potential difference between two + +34 +00:03:31,090 --> 00:03:35,790 +points ال potential difference between two points + +35 +00:03:35,790 --> 00:03:40,010 +تمام + +36 +00:03:40,010 --> 00:03:45,090 +ال point هادي و ال point هادي هادي one و هادي two + +37 +00:03:45,090 --> 00:03:51,210 +لو بدى اجيب انا فرق الجهد بين هدول النقطينV1-V2== + +38 +00:03:51,210 --> 00:03:55,090 +1 to 2 وبما أن النقطين جراب على بعض كتير معناته + +39 +00:03:55,090 --> 00:03:59,430 +التكامل هذا goes to zero اذا but since the + +40 +00:03:59,430 --> 00:04:03,250 +vertical side shrinks to zero اتقلص يقول إلى ال + +41 +00:04:03,250 --> 00:04:10,670 +zero معناته V1-V2== 0 اذا دائما ال potential is + +42 +00:04:10,670 --> 00:04:14,030 +continuous ال potential as a function is + +43 +00:04:14,030 --> 00:04:20,590 +continuous function هذا اللي احنا أخدنا تمامبس + +44 +00:04:20,590 --> 00:04:28,730 +نجمّع جاني الآن انت عندك E1 N نقص E2 N بيساوي سجمة + +45 +00:04:28,730 --> 00:04:35,410 +على E نوت مظبوط ولا لأ؟ حلو هل هذا القانون ممكن + +46 +00:04:35,410 --> 00:04:39,630 +مرات أستخدمه عشان أجيب سجمة؟ إيش بدي؟ بدي هذا و + +47 +00:04:39,630 --> 00:04:45,050 +هذا طب أنا مافيش عندي E بدي أجيب V في علاقة بين E + +48 +00:04:45,050 --> 00:04:46,050 +و V يا بنات؟ + +49 +00:04:50,080 --> 00:04:55,840 +زاكرينها؟ طيب، من يجيبلي EN؟ + +50 +00:04:55,840 --> 00:05:03,280 +لا، EN من هنا على إيش؟ + +51 +00:05:03,280 --> 00:05:07,220 +مظبوط؟ + +52 +00:05:07,220 --> 00:05:09,460 +N، و هذه الـN ممكن تكون R و ممكن تكون X و ممكن + +53 +00:05:09,460 --> 00:05:13,640 +تكون Y و ممكن تكون Z صحيحة ولا لأ؟ تمام، بيقول + +54 +00:05:13,640 --> 00:05:18,720 +الـNonsense E بالساوية سالب دلي الـVأذا صار عندي + +55 +00:05:18,720 --> 00:05:25,080 +بدل هذه بدي أحط سالب سالب طلعت السالب هنا دل V1 + +56 +00:05:25,080 --> 00:05:29,060 +نخص ذل V2 بيسوي سالب سجمة على epsilon node using + +57 +00:05:29,060 --> 00:05:32,840 +the fact that دل ال V ضد ال N هي partial V على + +58 +00:05:32,840 --> 00:05:36,120 +partial N اذا انا ممكن اقول partial V1 على partial + +59 +00:05:36,120 --> 00:05:39,700 +N minus partial V2 على partial N بيسوي سالب سجمة + +60 +00:05:39,700 --> 00:05:45,180 +على epsilon node هذه المعادلة مراتب نستخدمها برضه + +61 +00:05:45,180 --> 00:05:48,410 +ك conditionعادي ان هذا كله حاليا نرجع لـ Chapter 3 + +62 +00:05:48,410 --> 00:05:52,610 +كله وبالتالي مش مطلوب منكم الآن تشغلكم أخكم كتير + +63 +00:05:52,610 --> 00:05:55,930 +فيه وانا في هذا ال chapter بجيبش أسئلة على ال + +64 +00:05:55,930 --> 00:06:00,310 +boundary conditions لأنه من أخره لل chapter 1 يعني + +65 +00:06:00,310 --> 00:06:02,310 +بمعنى آخر ال boundary conditions مش هيدخلكم يافن + +66 +00:06:02,310 --> 00:06:06,660 +امتحانبس عشان اغششكم يعني تمام ك boundary + +67 +00:06:06,660 --> 00:06:09,140 +conditions ده هو هذا مقدم لل chapter اللي ورا + +68 +00:06:09,140 --> 00:06:13,400 +ومنحجين هنيجي فيه بكل التفاصيل يعني هنستخدمه شوية + +69 +00:06:13,400 --> 00:06:17,440 +قعدنا لكن في النهاية استخداماته الحقيقية هتيجي في + +70 +00:06:17,440 --> 00:06:24,700 +chapter تلاتة اكيد في خطة + +71 +00:06:24,700 --> 00:06:32,300 +مطبع بكون تمام work and energywork and energy + +72 +00:06:32,300 --> 00:06:39,200 +بشوفها اخر موضوع محرز في هذا ال chapter هو ال work + +73 +00:06:39,200 --> 00:06:44,680 +and energy work and energy طبعا عشان بس احنا مع + +74 +00:06:44,680 --> 00:06:48,120 +بعض نشوف ايش مفهوم ال work و ال energy و ليه + +75 +00:06:48,120 --> 00:06:53,340 +جامعوا ان بيكونوا ملازجين بعض عشان اتدركوا مركزين + +76 +00:06:53,340 --> 00:06:57,840 +معايا ايش اللي بصير حاجة هذه بدي ارفحها فوق ايش + +77 +00:06:57,840 --> 00:07:06,110 +بتلزمبدي شغل صح؟ شغل إيدي طيب احنا قانون عام + +78 +00:07:06,110 --> 00:07:09,830 +universal بيسموه قانون كوني اللي هو قانون حفظ + +79 +00:07:09,830 --> 00:07:13,230 +الطاقة صحيح ولا لأ؟ طب الشغل اللي أنا بدلت أين + +80 +00:07:13,230 --> 00:07:18,390 +راح؟ تحول لطاقة تخزنت دوا potential energy طبعا + +81 +00:07:18,390 --> 00:07:21,590 +كلمة potential يعني كامل يعني مخزن ف potential + +82 +00:07:21,590 --> 00:07:29,640 +energy حلو لو هذه هيك عملتها هي نجلتهافي شغل انبذل + +83 +00:07:29,640 --> 00:07:36,060 +ضد الجاذبية؟ لأ اذا لابد .. انا ليش بذلت شغل؟ بذلت + +84 +00:07:36,060 --> 00:07:40,860 +شغل لأنه فيه قوة عكس الإزاحة مظبوطة له وبالتالي + +85 +00:07:40,860 --> 00:07:47,500 +لازم انا ايجي أساعد هذه ال object عشان يطلع من + +86 +00:07:47,500 --> 00:07:52,180 +نقطة إلى نقطة نفس المفهوم بيجي لوين؟ بيجي للشحنات + +87 +00:07:52,180 --> 00:07:59,110 +أنا عندي شحنة موجودة في مجال كهربائيموجودة في مجال + +88 +00:07:59,110 --> 00:08:02,290 +الكهرباية يعني في عليها قوة زي الجذبية الأرضية في + +89 +00:08:02,290 --> 00:08:07,110 +قوة لما بدي أحركها بدي أبذل شغل هذا الشغل لما يبذل + +90 +00:08:07,110 --> 00:08:11,350 +بدي يتخزن جوا على هى الطاقة واضحة طيب احنا في + +91 +00:08:11,350 --> 00:08:14,190 +النهاية كيف انا بشحن جسم بصورة عامة؟ ايش المعلومات + +92 +00:08:14,190 --> 00:08:19,410 +اللى عنكم؟ كيف تشحن جسامك؟ كيف اي جسم بتخليه موجب + +93 +00:08:19,410 --> 00:08:23,930 +أو سالب؟ غير التأثير أسهل + +94 +00:08:26,770 --> 00:08:29,570 +طيب هو التوصيل و التأثير و إيش بيصير فيه في الآخر؟ + +95 +00:08:29,570 --> 00:08:34,610 +إيش بيصير؟ في الآخر يعني المحصلة عشان أخلي كورة + +96 +00:08:34,610 --> 00:08:39,370 +النحاس موجة بقى إيش أسوي؟ بيبقى جميل في الآخر و + +97 +00:08:39,370 --> 00:08:42,790 +فرقة الجهود ليش بدي أعمله؟ حاجات هي كورة النحاس + +98 +00:08:42,790 --> 00:08:48,570 +بطبيعتها مالها متعدلة؟ ليش؟ عشان عدد الإلكترونات + +99 +00:08:48,570 --> 00:08:54,010 +بس هو عدد البروتونات صح؟ طيب زيديها إلكتروناتخُدّي + +100 +00:08:54,010 --> 00:08:57,570 +منها بروتونات، إلكترونات، سنمو جبه. إذا عملية + +101 +00:08:57,570 --> 00:09:00,770 +الشحن هي نقل شحنات، باخد أو بودّي، هيف ان هي بنقل + +102 +00:09:00,770 --> 00:09:03,810 +شحنات، وكل اللي حكيته انتوا كله عشان أساعد في نقل + +103 +00:09:03,810 --> 00:09:08,390 +الشحنات، لأ عشان أنقل شحنة، بالزمن الشغل ولا لأ؟ + +104 +00:09:08,390 --> 00:09:12,870 +بالزمن الشغل، هذا الشغل وين بتخزن؟ جوه الجسم + +105 +00:09:12,870 --> 00:09:18,810 +المشحون، إذا كل جسم مشحون جوته طاقة، لأنه أنا عشان + +106 +00:09:18,810 --> 00:09:22,910 +خليته مشحون، نجلت شحنات لإما منه أو إله، صح ولا + +107 +00:09:22,910 --> 00:09:30,520 +لأ؟تمام بيقولي the work required to bring a tested + +108 +00:09:30,520 --> 00:09:34,740 +charge capital Q from point A to B كيه بدي أجيبه؟ + +109 +00:09:34,740 --> 00:09:38,240 +بقوله احنا الشغل كنا حافظينه classic بتاخدوا + +110 +00:09:38,240 --> 00:09:43,840 +classic جاعدين صح ولا لأ ال work equal F ضد ال DL + +111 +00:09:43,840 --> 00:09:48,260 +صح طيب هذي F classic في الكهربا بتسوي Q في ال E + +112 +00:09:48,260 --> 00:09:55,840 +مظبوط ولا لأ F بتسوي Q في ال E طيبهذا ما هو عبارة + +113 +00:09:55,840 --> 00:10:00,860 +عن تكامل من A لB هو فرق الجهد بين B وA مظبوط ولا + +114 +00:10:00,860 --> 00:10:04,820 +لأ؟ إذا معناته الشغل اللازم عشان أنقل شحنة بين + +115 +00:10:04,820 --> 00:10:07,960 +نقطين بسوء الشحنة المنقولة في فرق الجهد بين + +116 +00:10:07,960 --> 00:10:14,930 +النقطين تمام؟ حلوالعمل يتطلب أن يجلب تجارب محاولة + +117 +00:10:14,930 --> 00:10:19,670 +كبتال Q من نقطة Infinity إلى R هدول بالنقطين طب لو + +118 +00:10:19,670 --> 00:10:23,350 +كانت أحد النقط ملا نهاية يعني النقطة A ملا نهاية + +119 +00:10:23,350 --> 00:10:27,730 +النقطة A ملا نهاية جدش جهد ملا نهاية؟ Zeroإذاً + +120 +00:10:27,730 --> 00:10:31,270 +ستحصل الشغل عبارة عن الـQ في جهد النقطة التي تكون + +121 +00:10:31,270 --> 00:10:36,850 +عندها الشحنة إذاً الشغل المبذول لتنقل الشحنة من + +122 +00:10:36,850 --> 00:10:40,590 +النقطة من المدى النهائي لنقطة بالساوية الشحنة + +123 +00:10:40,590 --> 00:10:44,190 +المنقولة في جهد النقطة تمام؟ هذا أخدنا فيزيا بقى + +124 +00:10:44,190 --> 00:10:54,810 +طيب الآن أريد أن أعمل system فيه لوحة فاضية لا + +125 +00:10:54,810 --> 00:11:00,440 +يوجد شحنةبدي أحطلي عشر شحنات على اللوح عشر شحنات + +126 +00:11:00,440 --> 00:11:03,600 +مصيفي عندي system متكون من عشر شحنات مظبوط ولا لأ؟ + +127 +00:11:03,600 --> 00:11:07,860 +يعني ال system مشحون بدي أشوف الطاقة اللي تتخزن + +128 +00:11:07,860 --> 00:11:10,920 +جوا إيش بالساوي كيف بدي أعرف الطاقة اللي جوا تجدش + +129 +00:11:10,920 --> 00:11:14,440 +بالساوي؟ بقولي شوف لي انت جدش بذالك الشغل عشان تحط + +130 +00:11:14,440 --> 00:11:18,100 +العشرة هدول شغلك اللي مذيل هو اللي تتخزن جوا صح + +131 +00:11:18,100 --> 00:11:22,540 +ولا لأ؟ طيب نجي نشوف كيبك تسوي؟ بقولي let us + +132 +00:11:22,540 --> 00:11:30,130 +calculateالعمل المطلوب أن تجمع عشان تكون مجموعة من + +133 +00:11:30,130 --> 00:11:34,550 +الـpointed charges كيف؟ + +134 +00:11:34,550 --> 00:11:38,530 +By bringing them one by one from infinity اعتبر ان + +135 +00:11:38,530 --> 00:11:40,950 +في عندك مخزن في المدى نهائيا فيه شحنات دلوقت ده + +136 +00:11:40,950 --> 00:11:46,140 +تجيب واحدة واحدة وكل واحدة تجيبها تحسب لشغلكجدش + +137 +00:11:46,140 --> 00:11:51,340 +بدال الشغل؟ جيبت عشر شحنات بدالت عشر شغل، مظبوط؟ + +138 +00:11:51,340 --> 00:11:55,520 +الشغل الكلي، شغل، scala، رسمية موحة، هذا كل الشغل + +139 +00:11:55,520 --> 00:12:01,840 +هو الطاقة اللي تخزنها، مش هيك اتفقنا؟ حلو، الان؟ + +140 +00:12:01,840 --> 00:12:07,920 +الان شوفوا عاد، حاجات اللوح في شحنات؟ مش ولا + +141 +00:12:07,920 --> 00:12:10,100 +شحنات، اللوح مش فيه؟ + +142 +00:12:16,000 --> 00:12:21,040 +هذه نقطة، تمام؟ فيش حموليكم ولا شحنة؟ قدش جهود + +143 +00:12:21,040 --> 00:12:26,060 +النقطة هذه؟ برافو، مظبوط؟ فيش جهود؟ بقول أن أنا + +144 +00:12:26,060 --> 00:12:30,060 +بدي أنقل شحنة من المنا نهاية للنقطة هذه الشغل + +145 +00:12:30,060 --> 00:12:33,560 +المجلول بساوي الشحنة المنقولة ليه فيه واحد، فيه + +146 +00:12:33,560 --> 00:12:35,640 +جهود عند النقطة هذه، قدش جهود عند هذه النقطة هذه؟ + +147 +00:12:35,640 --> 00:12:40,240 +إذن أول شحنة ببدأ الشغل عشان أجيبها؟ لأ، زي ما + +148 +00:12:40,240 --> 00:12:43,970 +تقول محايا بشينها أفقين، أبدأت الشغلتمام؟ اذا + +149 +00:12:43,970 --> 00:12:49,930 +بيقوللي now no work is required to place the first + +150 +00:12:49,930 --> 00:12:55,690 +charge Q1 at a given position because there is no + +151 +00:12:55,690 --> 00:12:59,710 +electric potential at that position لان بيقوللي W + +152 +00:12:59,710 --> 00:13:06,430 +بيساوي Q في V ده ايه اخبره بطبقه انا V كان Zero و + +153 +00:13:06,430 --> 00:13:10,710 +Q Q واحد و Q واحد في Zero مانيش قاعدة واحد؟ Zero + +154 +00:13:10,710 --> 00:13:11,890 +تمام؟ + +155 +00:13:14,090 --> 00:13:22,550 +الان بدي أجيب شوحنا هنا Q2 مفهوم الشغل بيسوي Q2 في + +156 +00:13:22,550 --> 00:13:27,330 +أيه؟ في جود عند المفترض هذه في جود؟ في جود بتسوي + +157 +00:13:27,330 --> 00:13:34,530 +KQ1 على المسافة هذه ولا لا؟ بتعتبر هذه المسافة R12 + +158 +00:13:34,530 --> 00:13:43,330 +النحن فهلو ده بقول انه work التانية بيسوي Q2فى V + +159 +00:13:43,330 --> 00:13:51,330 +اللى جاية من واحد هذه V تنقص بالواحد صح كتش هاد + +160 +00:13:51,330 --> 00:13:57,310 +يتنقص من هنا بيديها K بيه واحد على اربع اتنين و + +161 +00:13:57,310 --> 00:14:01,210 +هاد كتنين ضربني + +162 +00:14:05,520 --> 00:14:11,460 +مش V1 V اللي جاب الواحد الـ Zero هذي V1 يعني V + +163 +00:14:11,460 --> 00:14:17,720 +اللي جاية من الواحد جمعها بـ Q1 أما هذه كذا بتقول + +164 +00:14:17,720 --> 00:14:22,640 +V الفارق هو الـ Zero فهذه الواحد هنا يعني فيها V + +165 +00:14:22,640 --> 00:14:32,180 +اللي جاية من Q1 تمام إذا بيقولي Q2 حطيتها الآن بدي + +166 +00:14:32,180 --> 00:14:33,140 +أجيب + +167 +00:14:36,110 --> 00:14:44,170 +مش واحدة هناك؟ Q ثلاثة بمعنى آخر إنه المفروض باب + +168 +00:14:44,170 --> 00:14:49,890 +الـ U ثلاثة بيساوي Q ثلاثة في جهود عند نقطة هذين + +169 +00:14:49,890 --> 00:14:54,350 +هذين جوهرين من وين جاي؟ من واحد زي اتنين إذا V + +170 +00:14:54,350 --> 00:14:59,570 +واحد زي V اتنين صح؟ طب نجلي من V واحد عند نقطة + +171 +00:14:59,570 --> 00:15:02,310 +هذين بالفعل، مش هذين المفترض يعني هذين V واحد + +172 +00:15:02,310 --> 00:15:08,980 +بيبقى هذين V هذين تنك الـV شفت عليها؟بتساوي U3 K + +173 +00:15:08,980 --> 00:15:26,440 +Q1 على R 1 3 مش R 1 2 زائد K Q2 على R 3 3 ثم + +174 +00:15:26,440 --> 00:15:31,020 +نمشي طبعا ماتيجي عنا انت شربات كتيرة بس خليني أمحي + +175 +00:15:31,020 --> 00:15:36,470 +و نشوف إيش بيفهم معايا إذا workfor the second + +176 +00:15:36,470 --> 00:15:43,810 +charge is calculated now we place Q3 at a position + +177 +00:15:43,810 --> 00:15:52,390 +R31 from Q1 and R32 from Q2 وبالتالي تصير we now + +178 +00:15:52,390 --> 00:15:57,970 +must do work given as Q3 في V12 V12 اللي هو الجاي + +179 +00:15:57,970 --> 00:16:02,110 +V1 V2 فسمينا V1 V2 تمام + +180 +00:16:04,370 --> 00:16:10,250 +طبعا هاجد اكم شحنة صار عالية؟ تلاتة متأكدين ان في + +181 +00:16:10,250 --> 00:16:13,870 +شغل البلد، اذا متأكدين ان في طاقة ديوة مخزنة، + +182 +00:16:13,870 --> 00:16:17,970 +بتحسب الطاقة المخزنة، ايش بتساوي؟ مجموع الشغل، + +183 +00:16:17,970 --> 00:16:21,950 +يللا نجمع الشغل، Z زائدها ده زائدها ده، مظبط ولا + +184 +00:16:21,950 --> 00:16:27,550 +لأ؟ خلنا نقول ال network required to assemble the + +185 +00:16:27,550 --> 00:16:33,640 +first three charges هدا هوطبعا انا ماني احكي احكي + +186 +00:16:33,640 --> 00:16:37,800 +اعلمكم بس انا اولا اقول هي تلاتة، مظبوط؟ واحد + +187 +00:16:37,800 --> 00:16:42,220 +اتنين، واحد تلاتة، اتنين تلاتة، اربعة، واحد اتنين، + +188 +00:16:42,220 --> 00:16:45,400 +واحد تلاتة، واحد اربعة، اتنين تلاتة، اتنين اربعة، + +189 +00:16:45,400 --> 00:16:50,040 +تلاتة اربعة، مظبوط؟ و هكذا، خمسة و ستة طبعا كنت هي + +190 +00:16:50,040 --> 00:16:52,740 +المرة دي ووقفنا لعين تلاتة واربعة ووقفنا، فكنت ده + +191 +00:16:52,740 --> 00:16:57,320 +جبنية، هشوف كيف طبعا طالعوا احنا لما نكون نعملنرجع + +192 +00:16:57,320 --> 00:17:02,160 +للتلاتة واحد تلاتة و اتنين تلاتة هجت اتنين تلاتة + +193 +00:17:02,160 --> 00:17:07,280 +في تلاتة اتنين؟ لأ مظبوط ولا لأ؟ وفي بيجي معاكم + +194 +00:17:07,280 --> 00:17:11,700 +واحد واحد او اتنين اتنين او تلاتة تلاتة؟ لأ بجيشهو + +195 +00:17:11,700 --> 00:17:15,200 +مرة واحدة يعني لما اعمل واحد تنين و بعدين واحد + +196 +00:17:15,200 --> 00:17:19,020 +تلاتة و واحد اربع برجعش هذا يجي مع هذا بيجي هذا و + +197 +00:17:19,020 --> 00:17:21,840 +بعدين بيجي هذا فالطلب ان انت لما جي انا اعمل بقول + +198 +00:17:21,840 --> 00:17:25,780 +هذا مع هذا مع هذا مع هذا بعدين بقول بس هذا ثم هذا + +199 +00:17:25,780 --> 00:17:29,820 +مع هذا مع هذا فدايما التاني بيكون اكبر من الأولاني + +200 +00:17:30,060 --> 00:17:33,560 +فقول لأ طيب ليه كنت تعمل هيك؟ ده لإنك بدي أعمل + +201 +00:17:33,560 --> 00:17:35,400 +summation هال gate، أنا مش واحد و اتنين و تلاتة، + +202 +00:17:35,400 --> 00:17:38,420 +احسن أقول اضحكتوا عليا تلاتة و أربعة و يا دو كلنا + +203 +00:17:38,420 --> 00:17:41,220 +نجيب اتنين و تلاتة، هيك بدي أعمل عشرة، كم بدي + +204 +00:17:41,220 --> 00:17:45,420 +أعمله؟ فقول the total work required to assemble + +205 +00:17:45,420 --> 00:17:48,760 +all this system عندي جزء كبير من ال system، عدة + +206 +00:17:48,760 --> 00:17:53,780 +دخل، ده اللي هيكمل سنةجالي هالي بيبقى بتعمل في + +207 +00:17:53,780 --> 00:17:58,040 +جمعين لإن انت بتجمع اتنين بتقعد بتجمع فبقى لإنه + +208 +00:17:58,040 --> 00:18:01,220 +هنا واحد اتنين و واحد تلاتة و اتنين تلاتة هذا + +209 +00:18:01,220 --> 00:18:04,360 +بتغير و هذا بتغير اتنين بتغيره فحطيه double + +210 +00:18:04,360 --> 00:18:07,400 +summation بس انت باقى ال energy لازم تكون أكبر من + +211 +00:18:07,400 --> 00:18:12,780 +Iها شوفوا .. هذي دايما بكون من هنا ببدأ يعني اذا + +212 +00:18:12,780 --> 00:18:17,080 +بدأت من ها باقي ها؟ لأ باقيش ها باقي واحد وبالتالي + +213 +00:18:17,080 --> 00:18:23,600 +دايما J أكبر من I عشان أضمن انه مايرجعش واحد تانين + +214 +00:18:23,600 --> 00:18:26,580 +و اتنين واحد واحد تلاتة تلاتة واحد فانتوا عليا؟ + +215 +00:18:26,580 --> 00:18:30,580 +تمام طيب + +216 +00:18:30,580 --> 00:18:34,080 +هذه المفهومة طبعا تعرفون تفكر؟بتعرف فوق ال + +217 +00:18:34,080 --> 00:18:40,160 +summation عشان انا مبتدئين بال mathematics بعيني + +218 +00:18:40,160 --> 00:18:43,480 +او كده كده كده كده كده كده كده كده كده كده كده كده + +219 +00:18:43,480 --> 00:18:43,740 +كده كده كده كده كده كده كده كده كده كده كده كده + +220 +00:18:43,740 --> 00:18:45,400 +كده كده كده كده كده كده كده كده كده كده كده كده + +221 +00:18:45,400 --> 00:18:48,540 +كده كده كده كده كده كده كده كده كده كده كده كده + +222 +00:18:48,540 --> 00:18:54,480 +كده كده كده كده كده كده كده كده كده كده كده كده + +223 +00:18:54,480 --> 00:18:56,640 +كده كده كده كده كده كد + +224 +00:19:02,660 --> 00:19:12,560 +و1j زائد ال summation لل j بيو 2 بيوجي على R2j + +225 +00:19:12,560 --> 00:19:17,640 +وهكذا بمشي تمام؟ افهمتوا عليها كيف يا بنات؟ هالجدي + +226 +00:19:17,640 --> 00:19:23,400 +تطلعش بالجهاد بيفك هذه اشتي ثابتها دي واحد لكن ال + +227 +00:19:23,400 --> 00:19:29,720 +j من أكبر من I يعني اكبر من واحد من أكبر من اتنين + +228 +00:19:30,920 --> 00:19:35,640 +واحد تنين، واحد تلاتة، واحد أربعة، واحد خمسة، لا + +229 +00:19:35,640 --> 00:19:40,140 +شضا عندك مية. اذا هذا الكل كله بيجي هنا اتنين ايش + +230 +00:19:40,140 --> 00:19:44,140 +وراها؟ تلاتة، اتنين، تلاتة، اتنين اربعة، اتنين، + +231 +00:19:44,140 --> 00:19:48,880 +خمسة عشان الشرق هذا. فلازم تكون هذه اكبر من هذه. + +232 +00:19:49,200 --> 00:19:53,280 +يعني هذه لازم تبدأ من تلاتة وهذه لازم تبدأ من + +233 +00:19:53,280 --> 00:19:57,780 +اتنين. وهكذا بمشي. فهمتوا عليا كيف؟ وهكذا من فوق. + +234 +00:20:11,080 --> 00:20:15,800 +طيب قاللي طيب هو انت هذه الشرط هيغلبني لو بدى ايدي + +235 +00:20:15,800 --> 00:20:20,020 +اعمل تكامل او حول التكامل هيغلبني لو جبته الشرط + +236 +00:20:20,020 --> 00:20:24,040 +ايش ممكن عندك فرق؟ قاللي ولا اشي واحد تنين و اتنين + +237 +00:20:24,040 --> 00:20:27,400 +واحد واحد تلاتة تلاتة واحد واحد اربعة واربعة واحد + +238 +00:20:27,400 --> 00:20:31,280 +مضبوط يعني طيب يعني ايه الشيء قد ضعف ده سبعة اتنين + +239 +00:20:31,280 --> 00:20:38,980 +وخلصنا تمام فإيش بتقوللي بعد ما عملت هذا قاللي هذا + +240 +00:20:38,980 --> 00:20:44,630 +الشرط اللي هيغلبكجسمها 2 و جيب الشرق بس .. مستحيل + +241 +00:20:44,630 --> 00:20:48,830 +يكون عندك I بتساوي J مظبوط ولا لأ؟ I لات تساوي J + +242 +00:20:48,830 --> 00:20:51,010 +لأنه مافيش عندك واحد واحد اتنين اتنين تلاتة تلاتة + +243 +00:20:51,010 --> 00:20:55,170 +اربعة اربعة بس انت جيبت الشرق هذا يعني على ال top + +244 +00:20:55,170 --> 00:20:57,670 +يكون فيه واحد تلاتة تلاتة واحد واحد اربعة واربعة + +245 +00:20:57,670 --> 00:21:01,010 +واحد اتنين تلاتة اتنين اتنين اتنين صح؟ ال .. ال .. + +246 +00:21:01,010 --> 00:21:05,590 +الكلمات يجب ان تكون عشرة و عشرين جسمها 2 بيجيب + +247 +00:21:05,590 --> 00:21:15,310 +عشرة خلصنا تمام هذا ..هذا omega او w وهذا يتساوى + +248 +00:21:15,310 --> 00:21:19,710 +ان هذه ما كان في وصفها فيها ثمة عكسية طالة حمص و + +249 +00:21:19,710 --> 00:21:24,330 +ردعنا هذه اربعة باي ابسل نونة وهذه Qi وهذه QG طبعا + +250 +00:21:24,330 --> 00:21:32,570 +هذا شو هذا؟ هذا جوجل هذا جوجل كيك يو علاء هذا جوجل + +251 +00:21:33,100 --> 00:21:39,060 +هذا اللي طبعًا عملته انا و قلت عنه V18 بظبط او لا + +252 +00:21:39,060 --> 00:21:44,760 +هذا الشغل اذا معناته صار في عندك انت الشغل بيساوي + +253 +00:21:44,760 --> 00:21:53,760 +نص Q في جهود و خلصنا نص Q في جهود تمام كل هذا عشان + +254 +00:21:53,760 --> 00:21:56,840 +اقول ان انا هذه المعادلة انا بتعمل summation انا + +255 +00:21:56,840 --> 00:22:00,620 +بتعمل دكارة انا افضل اسكلت باعت continuous اقول لك + +256 +00:22:00,620 --> 00:22:09,270 +هذه بسيطة اشتري QRDQ والصم integration والـVV + +257 +00:22:09,270 --> 00:22:14,590 +مظبوط؟ إذا معناته بيقول الـ energy of continuous + +258 +00:22:14,590 --> 00:22:18,490 +charge distribution لو كان عندي continuous charge + +259 +00:22:18,490 --> 00:22:22,630 +distribution for a continuous charge density + +260 +00:22:22,630 --> 00:22:29,890 +equation becomes بدل QR صارت DQ وبدل V ما هي V + +261 +00:22:29,890 --> 00:22:35,920 +والنص صار أكبر و نصقال لنهو ديتا لا سجما دي ايه + +262 +00:22:35,920 --> 00:22:41,900 +لنبدا دي ايه كلنا بنعرفه حلو هاي قانون جديد إذا + +263 +00:22:41,900 --> 00:22:46,080 +صار في عندي القانون هذا ان ال work أو ال energy + +264 +00:22:46,080 --> 00:22:57,900 +سواء نص تكامل DQV of R طيب؟ + +265 +00:22:57,900 --> 00:23:01,480 +where the integral is to be performed over the + +266 +00:23:01,480 --> 00:23:04,550 +charge distributionوانت كما بيقول اننا نعمله على + +267 +00:23:04,550 --> 00:23:11,850 +charge لأنه أصلا DQ تمام بدنا نشوف هناك حاجة قالت + +268 +00:23:11,850 --> 00:23:15,030 +طيب تعرف ان دول دقطة ال E بالسبب رو ع الأبسل نوت + +269 +00:23:15,030 --> 00:23:20,370 +قارون أيش هذا يسمينا هذا ال differential form of + +270 +00:23:20,370 --> 00:23:25,790 +Gauss's law حلو تقدر هذه رو تعوض عنها ابسل نوت في + +271 +00:23:25,790 --> 00:23:30,350 +دقطة ال E ولا لا اه مش هذه رو وهذه رو charge + +272 +00:23:30,350 --> 00:23:37,820 +densityو متساوى و في إبسلل نوت طبعه بره على two و + +273 +00:23:37,820 --> 00:23:45,780 +بدل رو حطيه دي هادي هي هالي هو هلأ و هو هالي مع + +274 +00:23:45,780 --> 00:23:54,540 +الهالي مظبوطيك ولا لأ طيب دي بدل ايه و في عندك فيه + +275 +00:23:54,540 --> 00:23:57,840 +احنا بقعدوا نخبصوا في الرياضيات شوية مش بتطلع + +276 +00:23:57,840 --> 00:24:01,520 +معاهم جالوا + +277 +00:24:02,590 --> 00:24:08,210 +تفاضل حاصل الضرر سمعته فيه؟ اه سمعنا فيه بيساوي + +278 +00:24:08,210 --> 00:24:12,850 +الأول في مستقل التاني زائد مستقل الأول في التاني + +279 +00:24:12,850 --> 00:24:18,970 +حلو جال خل الأول والتاني واحد في واحد دي صار الأول + +280 +00:24:18,970 --> 00:24:23,210 +في مستقل التاني زائد التاني في مستقل الأول دي + +281 +00:24:23,210 --> 00:24:28,570 +معناته هذه وإيها؟ + +282 +00:24:28,570 --> 00:24:28,790 +هي + +283 +00:24:33,220 --> 00:24:38,300 +ماذا يعني هذي بتساوي؟ بتساوي هذي نخص هذي صحيح؟ + +284 +00:24:38,300 --> 00:24:42,980 +تهتم .. using the divergence theorem and noting + +285 +00:24:42,980 --> 00:24:48,700 +that دليل V بتساوي سالب E أول واحدة واحدة جالي هذي + +286 +00:24:48,700 --> 00:24:54,740 +بتساوي هذي نخص هذي فصار عندى دليل ضد ال E في ال V + +287 +00:24:54,740 --> 00:24:58,140 +بتساوي دليل + +288 +00:25:04,340 --> 00:25:09,920 +Dot دل ال V مش هتقرأ هدى ساوي هدى ناقص هدى صح ولا + +289 +00:25:09,920 --> 00:25:16,800 +لأ هالجيل جالي هدى دل ال V مش بيساوي E بالثالث مش + +290 +00:25:16,800 --> 00:25:24,860 +دل ال V ثالث E يعني هدى ثالث ساوي دل Dot V E plus + +291 +00:25:24,860 --> 00:25:28,940 +E تلمية يعني E ناقص وناقص ثالث plus + +292 +00:25:33,130 --> 00:25:39,150 +قال إذا ال work بتساوي بدل + +293 +00:25:39,150 --> 00:25:47,250 +اللي احنا عاملينهان صارت + +294 +00:25:47,250 --> 00:25:52,510 +دلق ضبط VE plus + +295 +00:25:52,510 --> 00:25:57,970 +E تربيع دي TAU طبعا أبسلون نوت فصارت بهذه الكيفية + +296 +00:26:05,930 --> 00:26:11,030 +هذه مكتوبة هنا هذه + +297 +00:26:11,030 --> 00:26:17,050 +كانت تكامل الفوريو كانت dil dot ve صح؟ قبل هذه إيش + +298 +00:26:17,050 --> 00:26:22,890 +كانت تقول؟ كانت مكتوبة كانت dil dot ve details صح + +299 +00:26:22,890 --> 00:26:26,270 +ولا لأ؟ كنت أكملها، دي already مصحبة انا بقعد أاخد + +300 +00:26:26,270 --> 00:26:29,210 +divergence، أضربهم في بعض، أجيب divergence اتسكّف + +301 +00:26:29,210 --> 00:26:33,670 +في حاجة ده هوياها اسمها ال divergence theory صح + +302 +00:26:33,670 --> 00:26:37,580 +ولا لأ؟رجعنا لشكرة واحدة عشان كده أخدنا ال + +303 +00:26:37,580 --> 00:26:40,880 +divergence theory قال إن ال divergence theory + +304 +00:26:40,880 --> 00:26:45,520 +بتحول تكامل ال volume على ال divergence ال surface + +305 +00:26:45,520 --> 00:26:50,300 +integrals، صح؟ قال، يا حلو، if a body كيك كده بتحط + +306 +00:26:50,300 --> 00:26:56,980 +V أسهل، أسهل إيه شرط مغلقا؟ قال، لو كان ال volume + +307 +00:26:56,980 --> 00:27:04,420 +تبعك كل space، كل space، وين صبحك؟وين؟ يعني عند أي + +308 +00:27:04,420 --> 00:27:10,780 +من مختار؟ طيب، على الخارج، كرة، ده مش محيط، سطحك + +309 +00:27:10,780 --> 00:27:14,580 +المحيط ده دائر، اه كده لما تقول الخارج ماعندك سطح، + +310 +00:27:14,580 --> 00:27:21,280 +فانت تقول كرة الكرة، كل space، وين سطحك؟ وين سطحك؟ + +311 +00:27:21,280 --> 00:27:25,140 +ما هو هنا؟ وين؟ وين موجود؟ لما أقول كل space، يعني + +312 +00:27:25,140 --> 00:27:29,880 +وين؟ هنا أوليجي ال .. الجامعة؟ عند المدرسة + +313 +00:27:29,880 --> 00:27:38,210 +الأخيرة؟ صح؟أيه هو التكامل يا عزيزي؟ كمية من المن + +314 +00:27:38,210 --> 00:27:48,910 +نهاية؟ Zero او لا تكامل؟ لو انا بدي اكامل حجم بدي + +315 +00:27:48,910 --> 00:27:52,870 +اكامل من ال zero للمن نهاية، صح؟ عشان كل ما هو + +316 +00:27:52,870 --> 00:27:57,330 +الحجم الشخصيالـ V تـdify دي R صح؟ الـ R نيونا و M + +317 +00:27:57,330 --> 00:28:01,450 +تتغير من صفر للمن نهاية و أنا ماشي من الصفر V تكون + +318 +00:28:01,450 --> 00:28:04,970 +الـ Zero إيه الحقيقة؟ بضلني أجمع V و E بضلني أجمع + +319 +00:28:04,970 --> 00:28:08,210 +أجمع لكن لما أكون أنا على السطح لما أكون على ال + +320 +00:28:08,210 --> 00:28:10,310 +surface أنا أقعد في المن النهاية و أنا مش في المن + +321 +00:28:10,310 --> 00:28:13,770 +النهاية أرثة تقعد في المن النهاية و V عند المن + +322 +00:28:13,770 --> 00:28:18,370 +النهاية و E عند المن النهاية Zero بيقول لي if the + +323 +00:28:18,370 --> 00:28:22,350 +integral is to be performed over all the space إذا + +324 +00:28:22,350 --> 00:28:26,160 +بحتعمل تكمل على كل spacethe first integral + +325 +00:28:26,160 --> 00:28:31,060 +vanished ليش؟ بيقول اللي قاله ايه؟ goes to zero as + +326 +00:28:31,060 --> 00:28:35,840 +r goes to ملا نهاية انت في ملا نهاية وهي روعة الـ + +327 +00:28:35,840 --> 00:28:39,800 +divergence theory تكامل كامل بدل ما تقعد سنين و + +328 +00:28:39,800 --> 00:28:45,340 +تتحلفي شرطة تقول روح طبعا بدل ما تحسب و تقعد + +329 +00:28:45,340 --> 00:28:48,740 +صفحتين تلاتة تحسب و بيطلع عقل zero من الأول انت + +330 +00:28:48,740 --> 00:28:53,500 +تطبق النظرية بيطلع معاه zero تمت أي صفقة؟ + +331 +00:28:56,230 --> 00:29:03,010 +إذا صار هذا روح إيه طبعا إيه دي؟ خلّيها بتساوي نص + +332 +00:29:03,010 --> 00:29:10,150 +تكامل ايه؟ تربيع detail طلعوا + +333 +00:29:10,150 --> 00:29:16,090 +إيه الفرق ما بين هذا و ما بين هذا هذا DQ بتكمله + +334 +00:29:16,090 --> 00:29:22,030 +على DQ يعني بتكمله على وين فيه شحنات هذا شرطه + +335 +00:29:22,030 --> 00:29:26,790 +اتكمله على كل spaceوإلا كان مروحتيش هذا، صحيح ولا + +336 +00:29:26,790 --> 00:29:32,570 +لا؟ إذاً هذا شرطه لازم يكون التكامل على كل ال + +337 +00:29:32,570 --> 00:29:38,930 +space تلعبش كده بقى هنا over all the space over + +338 +00:29:38,930 --> 00:29:43,470 +all the space يعني بستخدم هذا القانونلكن تقوله على + +339 +00:29:43,470 --> 00:29:46,730 +كل space، إذا هذا overall ال space وهذا ع ال DQ، + +340 +00:29:46,730 --> 00:29:50,310 +مهم ضيق، ع الشحناة، يعني لما يكون في عندي أنا قرة + +341 +00:29:50,310 --> 00:29:54,030 +هي المشحونة، بقول نسفل نسخة القرة، بعد كده مافيش + +342 +00:29:54,030 --> 00:29:57,430 +شيء، لما بدأت تستخدم هذه، يعني المفروض أن أنا عندي + +343 +00:29:57,430 --> 00:30:00,350 +قرة مشحونة، هاي القرة، هاي كلها شحنات + +344 +00:30:03,890 --> 00:30:09,850 +طبعاً لما بدأت أجي على هذه دي تاو وهذه دي + +345 +00:30:09,850 --> 00:30:13,170 +تاو وهذه دي تاو ايش بتفرق؟ دي تاو هي عبارة عن اكتر + +346 +00:30:13,170 --> 00:30:16,130 +بي عصان دي تا دي دي تا دي تا دي تا دي تا دي تا دي + +347 +00:30:16,130 --> 00:30:20,570 +تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +348 +00:30:20,570 --> 00:30:21,030 +دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي + +349 +00:30:21,030 --> 00:30:21,030 +تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +350 +00:30:21,030 --> 00:30:25,950 +دي تا دي تا دي تا دي تا دي تا دي تا دي تا + +351 +00:30:25,950 --> 00:30:28,730 +دي تا + +352 +00:30:31,100 --> 00:30:36,220 +ولو عندك نص كرة ثيتا هنا من صفر لبعض على ثمين لكن + +353 +00:30:36,220 --> 00:30:41,020 +هنا من صفر لبعض لان كامل هاي الفرق بين ال two + +354 +00:30:41,020 --> 00:30:45,420 +equations واحدة انت بتكملها على ال volume على ال + +355 +00:30:45,420 --> 00:30:49,860 +charge distribution وواحدة you have to perform the + +356 +00:30:49,860 --> 00:30:53,580 +integral over all the space يعني هو شرط النظرية + +357 +00:30:53,580 --> 00:30:58,980 +وانت قاعد تشتغل و طلعت المعادلة تمامي بس انصافي + +358 +00:30:58,980 --> 00:31:00,140 +عندي انا قارونين + +359 +00:31:05,160 --> 00:31:08,240 +و أحيانًا بأجبرك في الامتحانة على أي قانون تستخدم + +360 +00:31:08,240 --> 00:31:11,960 +و أحيانًا بفلتك لحالك بس لما فلتك لحالك بتكون واضح + +361 +00:31:11,960 --> 00:31:15,880 +إيش هو اللي بتستخدمه لإنه في واحد أسمنت تاني بيكون + +362 +00:31:15,880 --> 00:31:19,380 +في التعامل خلّيني أشوف حلوًا المثال find the + +363 +00:31:19,380 --> 00:31:25,080 +energy of a uniformly charged spherical shell of + +364 +00:31:25,080 --> 00:31:28,740 +charge Q and radius capital R الشل هذا ما أخدناه، + +365 +00:31:28,740 --> 00:31:32,480 +كم مرة حلناها؟ كتير، هو نفس الشل هو اللي بتدي ال + +366 +00:31:32,480 --> 00:31:38,420 +energy، مظبوط هيك؟طبعاً نذكر مع بعض الـ shell هذا + +367 +00:31:38,420 --> 00:31:45,120 +تينو أكتر من حاجة عملتها و ليه? E M متساوى سكر E R + +368 +00:31:45,120 --> 00:31:53,240 +متساوى K Q على R تنبيه R ذاتي V M متساوى K Q على + +369 +00:31:53,240 --> 00:32:00,400 +كامتها Rو V out سوى KQ على R هل ذاكرينهم؟ فحلناهم + +370 +00:32:00,400 --> 00:32:03,460 +بطرق تانية إذا كنتوا ذاكرينهم حلناهم بطرق تانية + +371 +00:32:03,460 --> 00:32:08,380 +حلناها من التكامل و جيبنا gauss اللي هم هدول و + +372 +00:32:08,380 --> 00:32:11,400 +حلناها خدنا عنصر و اشتغلنا و هديوه بواسطة كم Gauss + +373 +00:32:11,400 --> 00:32:17,480 +كنا بنعمله طيب solution طبعا solution one بدي أسخن + +374 +00:32:17,480 --> 00:32:22,250 +نفسي الطرق تانية لان عشان نشوف إيش الفرقكيف يتعامل + +375 +00:32:22,250 --> 00:32:25,390 +معه؟ بدي أستخدم القانونين القانونين الأعلى أينهم؟ + +376 +00:32:25,390 --> 00:32:33,570 +و بساوي نصف تكامل DQ في V و بساوي Y نصف على 2 + +377 +00:32:33,570 --> 00:32:40,750 +تكامل E تربيع DQ مظهرش ولا؟ حلو هذا التكامل انبهر + +378 +00:32:40,750 --> 00:32:45,510 +على DQ وهذا التكامل على W على كل الـ space تمام + +379 +00:32:45,510 --> 00:32:50,810 +بقول using equation 26 هي هذهطبعا اتطلعوا ال DQ + +380 +00:32:50,810 --> 00:32:55,810 +لابصير Lambda D L لابصير Sigma D A لابصير رو D Tau + +381 +00:32:55,810 --> 00:33:00,670 +صح؟ ايش الشكل اللي عندي؟ Spherical اه بس صدح ولا + +382 +00:33:00,670 --> 00:33:07,850 +حجم ولا طول صدح فال DQ يصير Sigma D A حفظ Sigma D + +383 +00:33:07,850 --> 00:33:11,470 +A اول + +384 +00:33:11,470 --> 00:33:15,230 +حاجة بدين D E بال Spherical Coordinates ايش هو + +385 +00:33:15,230 --> 00:33:16,650 +الثاني؟ + +386 +00:33:18,400 --> 00:33:24,420 +إذاً معناته الـDA نتذكر الـDL عبارة عن ADRRH + +387 +00:33:24,420 --> 00:33:33,300 +RDFHRSINFETADFI + +388 +00:33:33,300 --> 00:33:40,400 +R لو تبقى معاكم هذا الـDA باتجاه الـR صح أو لا؟ + +389 +00:33:40,400 --> 00:33:48,250 +إذاً الـDA بتساوي R تربيةSin θ D θ D Phi .. دي هي + +390 +00:33:48,250 --> 00:33:52,550 +القرارات الشوية التالية بتقولنا؟ اوه ايش قايمته؟ + +391 +00:33:52,550 --> 00:34:00,050 +انا بضحك ولا؟ حلو بيقولي but V طب الشيه يا V هذه؟ + +392 +00:34:00,050 --> 00:34:06,210 +قلهم هذي V ان انت واحد تقها V عند الشحناء يعني انت + +393 +00:34:06,210 --> 00:34:09,530 +بتكفي وين؟ انت على السطح انت ماشي كل التكامل اللي + +394 +00:34:09,530 --> 00:34:12,570 +لك على السطح اذا بنتكفيه على السطح يقولي جيبكي على + +395 +00:34:12,570 --> 00:34:12,910 +السطح + +396 +00:34:19,850 --> 00:34:22,510 +بطولة لأ فانا أكتب الكلمة على السطح و هي عالية + +397 +00:34:22,510 --> 00:34:25,370 +وبالتالي بدك جهود طول ما انت ماشي بدكي جهود عندك + +398 +00:34:25,370 --> 00:34:29,370 +كل نقطة رايحة بدكي جهود الموضوع مافيش غيره مافيش + +399 +00:34:29,370 --> 00:34:34,910 +غيره إذا معناته بقوله but V on the surface is + +400 +00:34:34,910 --> 00:34:39,770 +constant and equal to V equal kick U over capital + +401 +00:34:39,770 --> 00:34:47,410 +R اللي كتبت هنا حلو إذا الشغل طلعته على طول واحد + +402 +00:34:47,410 --> 00:34:52,420 +يقول كيف طلعته؟ يقول خليني أطلعهذه خلصنا منها إذا + +403 +00:34:52,420 --> 00:34:57,340 +الشغل صار سيجما على اتنين طلعت سيجما بارعة طب أطلع + +404 +00:34:57,340 --> 00:35:05,560 +يعني فيه كمان بارعة تابت طب و هذا تكامل ال D بإيش؟ + +405 +00:35:05,560 --> 00:35:08,580 +مظبوط؟ + +406 +00:35:08,580 --> 00:35:12,160 +تكامل ال D أسمها و S و S ال surface على الكورة ده + +407 +00:35:12,160 --> 00:35:16,900 +إيش؟ أربعة باقعة تابين طب سيجما إيش بيصار؟ طب ما + +408 +00:35:16,900 --> 00:35:22,680 +هي سيجما بيصار Q على السطحصحيح؟ وهذه هي قصارى + +409 +00:35:22,680 --> 00:35:32,220 +بساوية سيجنا في a التي هي 4 πي R تردية عكسي أن هذه + +410 +00:35:32,220 --> 00:35:36,720 +عبارة عن K اللي هو 1 على 4 بي أبسل نقطة Q على R + +411 +00:35:36,720 --> 00:35:46,520 +وهذه ليست Q هذه قصارى K تردية طبعا + +412 +00:35:46,520 --> 00:35:53,260 +طلع على النتيجةبالطريقة الأولى بدي انا الطريقة + +413 +00:35:53,260 --> 00:35:59,660 +التانية بدي هذه هاجد + +414 +00:35:59,660 --> 00:36:05,400 +انا بدي دي تاو هذه دي تاو فيش فيها surface بغض + +415 +00:36:05,400 --> 00:36:09,460 +النظر ايش الشكل اللي عندك هذه دي تاو دائما شوفوا + +416 +00:36:09,460 --> 00:36:14,700 +هذه دي Q تحولت مرة لدي L ومرة لدي A ومرة لدي D تاو + +417 +00:36:14,700 --> 00:36:24,200 +بس هذهدائما دي تاو دي تاو دي تاو دي تاو دي + +418 +00:36:24,200 --> 00:36:42,700 +تاو دي تاو دي تاو دي تاو دي تاو دي تاو + +419 +00:36:44,580 --> 00:36:47,740 +و بعدين ايه ما تروح .. اي مللي نهاية .. اذا تبدأ + +420 +00:36:47,740 --> 00:36:50,920 +من zero .. ده المللي هنا .. حلو .. ال theta من + +421 +00:36:50,920 --> 00:36:54,880 +zero ل .. ل .. ل by .. و ال phi من zero ل اتنين by + +422 +00:36:54,880 --> 00:36:59,120 +.. مظبوط ولا .. حلو .. اتطلعوا على الحمرحان .. ايه + +423 +00:36:59,120 --> 00:37:01,660 +شهور ممكن تكملي .. شفت قروني بعد اشتغالين .. ايه + +424 +00:37:01,660 --> 00:37:04,780 +الشهور اللي دي هو التكمل؟ المجان .. المجان تقرأت + +425 +00:37:04,780 --> 00:37:06,800 +.. تقرأت .. اتطلعت .. نسيت لمّا المللي نهاية .. + +426 +00:37:06,800 --> 00:37:09,680 +لمّا المجان عشان واحد .. ولا مجانين .. + +427 +00:37:16,080 --> 00:37:21,600 +يجب أن أجسم تكابلي من صفر لكابتن R اي energy اخد + +428 +00:37:21,600 --> 00:37:26,040 +اي little field اخد N من كابتن اعلى من النهاية لذا + +429 +00:37:26,040 --> 00:37:32,360 +هذا التكابل سيصبح عندي ايسلون نول عتنين تكابل من + +430 +00:37:32,360 --> 00:37:40,610 +صفر لكابتن R E NR تربيع SIN FETA D FETA E FI D A + +431 +00:37:40,610 --> 00:37:49,250 +زائد أبسل نوتة ما تنين تكوين من R لما نهاي ال E أو + +432 +00:37:49,250 --> 00:37:58,430 +طبعا تربيع تربيع ايه + +433 +00:37:58,430 --> 00:38:05,230 +يا جماعة انا ماقلتش Eتخيل عيش بالمخ، قديرش، Zero، + +434 +00:38:05,230 --> 00:38:12,690 +غدا، طيب، روح حلو من هناك؟ طيب، روح، ترهادة، طب من + +435 +00:38:12,690 --> 00:38:18,770 +وين هو؟ هايو، هايو، بس هناك أرض تربية، وهناك عندك + +436 +00:38:18,770 --> 00:38:24,720 +أرض تربيةروحت تكامل .. بيصير عندك تكاملات طبعا ما + +437 +00:38:24,720 --> 00:38:27,740 +روحتش لإن هذي بده ربعها فهذا بيصير ا رقص أربعة + +438 +00:38:27,740 --> 00:38:32,200 +فخلّأ متربعة لإنه ايه تربية خلّيني أعملها unit + +439 +00:38:32,200 --> 00:38:42,200 +push 26 اللي هو epsilon تربية دي + +440 +00:38:42,200 --> 00:38:47,360 +تاب قاللي هذه على طول جسمت زي ما حكت قدر من صفر ل + +441 +00:38:47,360 --> 00:38:54,880 +capital REN² ذائب من capital R لما نهاية E out + +442 +00:38:54,880 --> 00:39:04,280 +تربية طبعا ال E in Zero وال E out هي U ربعه صار Q + +443 +00:39:04,280 --> 00:39:09,100 +تربية وهدوس أقصى أربعة وفي جي التوكي من R تربية + +444 +00:39:09,100 --> 00:39:14,500 +فصارت DR على R تربية فهذه هيهذه R أقصى أربعة وهذه + +445 +00:39:14,500 --> 00:39:20,200 +R تنبيه تكامل DR على R تنبيه سنة واحد على A من A + +446 +00:39:20,200 --> 00:39:24,660 +capital R لمن نهاية واحد عمل نهاية سفر ناقص + +447 +00:39:24,660 --> 00:39:32,900 +استفسار زائد وبنروح نقولها وطلعت نفس النتيجة أي + +448 +00:39:32,900 --> 00:39:33,680 +استفسار؟ + +449 +00:39:43,200 --> 00:39:47,000 +حلو احنا هجيتي علمتكوا اننا five ثابت على الصدع + +450 +00:39:47,000 --> 00:39:51,500 +اللي هيك اه اه ال DM's لو بدنا نجيب ال DM's ال + +451 +00:39:51,500 --> 00:39:54,360 +five كان ثابت طب هل جيت five and one لوين؟ يعني + +452 +00:39:54,360 --> 00:39:56,320 +تبقى من six ل five ايه الشتشة اللي قولت أيه شهود + +453 +00:39:56,320 --> 00:40:00,700 +ثابت؟ five لإن ما بتلفش five و الكلية كانت بتقولي + +454 +00:40:00,700 --> 00:40:05,140 +five من و لا وين لأ لو بدنا نعوض فيها كنتيك بتسوي + +455 +00:40:05,140 --> 00:40:08,560 +ال five بما أنه ثلاث و نصف اذا ما .. اه بما أنك + +456 +00:40:08,560 --> 00:40:13,800 +تبت ثلاثين و بقى fiveحسب سفر .. خد يا .. سفر .. + +457 +00:40:13,800 --> 00:40:18,200 +سفر .. طب انا مابهمش .. انا اتنين باقى صح .. بس + +458 +00:40:18,200 --> 00:40:22,260 +ابتفرج اتنين باقى عن سفر .. لأ لإن .. نفس النقطة + +459 +00:40:22,260 --> 00:40:26,120 +.. نفس النقطة .. فانتيني .. كم تكوني ثابتة و كم + +460 +00:40:26,120 --> 00:40:29,140 +تكوني نولوين .. لأ انا مش قادرة .. كم تش بتساوي .. + +461 +00:40:29,140 --> 00:40:32,760 +اه انا مش قادرة .. زيرو .. طب هجد تقديها من سفر + +462 +00:40:32,760 --> 00:40:37,400 +لبياناتك .. لإنها بت .. كاملة .. ماتكلها .. مش ربع + +463 +00:40:37,400 --> 00:40:40,990 +.. لو ربع تسمي سفر لبيانة اتنين ..عايزة تقول سبن + +464 +00:40:40,990 --> 00:40:48,250 +لربع السين خيالنا نشوف بس بالظبط كيف .. انت + +465 +00:40:48,250 --> 00:40:55,110 +.. اه كنتي حاضرة وقع نور قالت على دسانكم ان يوم + +466 +00:40:55,110 --> 00:40:59,690 +التنين بعد المحاضرة بكوا discussion صح يعني اه + +467 +00:40:59,690 --> 00:41:04,410 +قالوا .. اه لو في شغل تاني كانوا لأ مش بسمحنا تحت + +468 +00:41:04,410 --> 00:41:05,330 +على دساننا + +469 +00:41:08,730 --> 00:41:26,710 +بدي كنت ربع السفير يا أبويا مناقشة + +470 +00:41:26,710 --> 00:41:28,830 +بعد المحاضرة؟ اه اه والله المحاضرة + +471 +00:41:47,200 --> 00:41:50,600 +أيوة يا ربع السفير + +472 +00:41:58,090 --> 00:42:05,150 +أه كام سطح فيه أول؟ انتفج .. انتفج .. كانت هم أربع + +473 +00:42:05,150 --> 00:42:10,510 +أول، نكفي .. أه + +474 +00:42:10,510 --> 00:42:16,610 +الحمد لله، عدالت لحالك يعني، مين عده؟ علشان اللي + +475 +00:42:16,610 --> 00:42:21,030 +.. اللي نعسان، اللي جاهز على الأرض، واحد، اللي + +476 +00:42:21,030 --> 00:42:25,470 +مدور، اتنين، اللي رايح على ال lift، و اللي مزج في + +477 +00:42:25,470 --> 00:42:31,690 +الحيطة، أربعأنت قلت اللي على الـ left فيتا بيساوي + +478 +00:42:31,690 --> 00:42:37,870 +سفر فاي بتساوي سفر فاي بتساوي سفر فاي بيلاقي ملزقة + +479 +00:42:37,870 --> 00:42:44,630 +في الحيطة اشي تثابت فيه؟ ملزقة الحيطة، circle + +480 +00:42:44,630 --> 00:42:50,090 +coordinates اللي بيحتها؟ فاي، + +481 +00:42:50,090 --> 00:42:55,010 +فده يخمتها، مش انت ثابتها يعني انك مش خمتها على + +482 +00:42:55,010 --> 00:43:02,690 +طولشوفي أنتي .. وين فيا؟ بتخيلها اسمك فين؟ روسيا؟ + +483 +00:43:02,690 --> 00:43:10,370 +وين فيا؟ انت عارفها وين؟ فيا هينا لما + +484 +00:43:10,370 --> 00:43:15,270 +تصيري أنتي هنا، جديش فيا؟ فيا عدنية .. فيا عدنية + +485 +00:43:15,270 --> 00:43:18,990 +ارسموا، اتخلبوش حقكوا، ارسموا عشان تتخيلوا صح في + +486 +00:43:18,990 --> 00:43:21,510 +الضحك، خصوصا ليسوا ورقوا في الضحك، بتعملوش زي انا، + +487 +00:43:21,510 --> 00:43:23,550 +اللي بدي يجي يرسم ويجي يجي مش حاجة معاه، بيقولوا + +488 +00:43:23,550 --> 00:43:25,810 +كل شي يعملوا، بيقولوا يابا عمل لطفا يا انا ويابا + +489 +00:43:26,460 --> 00:43:31,900 +جيبله حد كل حاجة عشان يعرف كيف يسوي .. جيبوها + +490 +00:43:31,900 --> 00:43:34,100 +يقولوا file .. اقسموها file .. شوفوا ال intuition + +491 +00:43:34,100 --> 00:43:35,920 +اللي وضحها .. عشان يعرفوا انهم بتروحوا من ال + +492 +00:43:35,920 --> 00:43:39,520 +teaching .. يعني هيها file .. هيها file .. انا + +493 +00:43:39,520 --> 00:43:42,320 +عشان اقولنها على اللوح .. مش file لازم تكون هنا .. + +494 +00:43:42,320 --> 00:43:45,260 +او على الحطة هذه لازم تكون هنا .. فلازم تكون file + +495 +00:43:45,260 --> 00:43:50,900 +اما بعد N او Zero طب قللي تحتانية لش ان فاهمت فيها + +496 +00:43:50,900 --> 00:43:53,940 +.. circle coordinates .. بتليش واحد يقول ال Z + +497 +00:43:57,050 --> 00:44:03,090 +أه يا عشان تطلع الدنيا بهلمش .. تشوفوا منطقي و + +498 +00:44:03,090 --> 00:44:06,830 +بالعكس ميزة ان الواحد يخرج من الدنيا .. ميزة .. + +499 +00:44:06,830 --> 00:44:10,530 +يطلع .. شايفاها هذه .. هذه النقطة عليه في القاعدة + +500 +00:44:10,530 --> 00:44:14,730 +و ليست القاعدة .. و هذه .. نفس القارن هم؟ لأ .. لأ + +501 +00:44:14,730 --> 00:44:16,910 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +502 +00:44:16,910 --> 00:44:17,770 +لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ + +503 +00:44:17,770 --> 00:44:17,810 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +504 +00:44:17,810 --> 00:44:19,010 +لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ + +505 +00:44:19,010 --> 00:44:24,790 +.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. + +506 +00:44:24,790 --> 00:44:33,950 +لشوفت كيف ال .. الرابعة؟ + +507 +00:44:33,950 --> 00:44:39,550 +دول أنا مش فاضاني حاضر يعني في البنطقة إذا كنت فيه + +508 +00:44:39,550 --> 00:44:45,630 +.. شيء ممكن أعمله على أي + +509 +00:44:45,630 --> 00:44:49,410 +سطح تبدأ؟ على أي سطح تبدأ؟ خلّينا أول سطح تحتاني + +510 +00:44:49,410 --> 00:44:53,790 +يا عمرو شفتها سطح تحتاني؟ قاعدة موجودة هجيتكم في + +511 +00:44:53,790 --> 00:45:00,050 +قاعدة طوالة مشهودة قاعدة هنا؟هي Z axis كيفانى هى Z + +512 +00:45:00,050 --> 00:45:05,570 +axis هى تيتا عشان تكون ع الطاولة لازم تكون تيتا + +513 +00:45:05,570 --> 00:45:13,750 +تكون بتكون ع الطاولة بتفعل كلنا نقطة هى نقطة طول + +514 +00:45:13,750 --> 00:45:21,530 +ما انا ماشى جيت تيتا شايفة بيعتين صح اذا طول ما + +515 +00:45:21,530 --> 00:45:25,560 +انا ماشى ع الطاولةوالـ Z-axis هادة إذا اللاجئ + +516 +00:45:25,560 --> 00:45:28,500 +بتكون فيه تبتسسوا بقى على اتنين و القاعدة قاعدة + +517 +00:45:28,500 --> 00:45:34,100 +على الأرض على الطاولة هيها تبتديني نيجي واحد هيك + +518 +00:45:34,100 --> 00:45:40,700 +اللي هو ها هيك تمأ تمأ انا ماشي هيك انا ماشي هيك + +519 +00:45:40,700 --> 00:45:48,620 +وبالتالي فايت تبعتي هي اللي بتكون ثابتة لأنه تطلع + +520 +00:45:48,620 --> 00:45:54,090 +عنكي شوفي اعمليلي اي نقطة هنا اسقطيهامش هدوعها + +521 +00:45:54,090 --> 00:45:57,250 +هيستطيع تسقط كل النقاط أي نقطة في بالك تسقطيها على + +522 +00:45:57,250 --> 00:46:02,390 +الأرض تيجي على المحور هذه ولا لا؟ ع محور معناته + +523 +00:46:02,390 --> 00:46:05,410 +إما الصيني أو الصاضي مازال الصيني أو الصاضي إذا + +524 +00:46:05,410 --> 00:46:09,390 +الصيني فاي بتساوي صفر وإذا الصاضي فاي بتساوي باية + +525 +00:46:09,390 --> 00:46:13,090 +اتنين إذا هذا كله فاي بتساوي صفر طب اللي هنا المزج + +526 +00:46:13,090 --> 00:46:17,330 +اللي على الحيطة أيه؟ كل النقاط تسقطيها على المحور + +527 +00:46:17,330 --> 00:46:20,510 +هذه ولا لا؟ تيتا بتساوي باية اتنين؟ five + +528 +00:46:23,680 --> 00:46:30,760 +فارت تتغير فارت فاذاك تفتكر ال R اه ال R اتطلع على + +529 +00:46:30,760 --> 00:46:34,220 +السطح اللي نزل في اللوحي هادي و هادي مش كتير عين + +530 +00:46:34,220 --> 00:46:38,440 +ان هم اروا مختلفة ولا لا ليجي الى نهاك في او في او + +531 +00:46:38,440 --> 00:46:40,900 +في او في او في او في او في او في او في او في او في + +532 +00:46:40,900 --> 00:46:43,360 +او في او في او في او في او في او في او في او في او + +533 +00:46:49,570 --> 00:46:52,110 +تعقد الأمور يعني انت تعقد الأمور بالwrestling يعني + +534 +00:46:52,110 --> 00:46:54,450 +انا لو جيت و انا بدأتش من ربع قروة ده عمري ماعرفش + +535 +00:46:54,450 --> 00:46:59,970 +الحمد لله انا مرسومة في جاسر بس بقى عارف ارسوم ال + +536 +00:46:59,970 --> 00:47:05,510 +score احتي ال مساحة و في عندنا اربع مساحة اصلا + +537 +00:47:05,510 --> 00:47:08,510 +قلتت المساحة الرابعة هو نفس ال camp كله ال camp + +538 +00:47:08,510 --> 00:47:16,310 +ايش التابت فيه بقى ال A ال A يعني هنا رح يتغيروا + +539 +00:47:16,310 --> 00:47:20,860 +ان في السطحين اي سطحين ان هم سطحيناللي بتتغير + +540 +00:47:20,860 --> 00:47:25,540 +اروزيكا اللي بقى ستة خير مرة واحدة زين و واحدة مرة + +541 +00:47:25,540 --> 00:47:30,960 +bad يعني + +542 +00:47:30,960 --> 00:47:35,800 +واحد هيك و واحدين ايوه هيك و السطح قاعد هنا و + +543 +00:47:35,800 --> 00:47:38,820 +السطح قاعد هنا و السطح قاعد هنا و السطح لفهم كلهم + +544 +00:47:38,820 --> 00:47:48,780 +فده هم واحد، اتنين، تلاتة، اربع نور + +545 +00:47:50,440 --> 00:47:56,300 +طبعا؟ يوم التنين احنا شغلتنا هالشغلة، طبعا يعني + +546 +00:47:56,300 --> 00:47:58,620 +خليني اقولك التالية بنات، انا يوم التنين علاش + +547 +00:47:58,620 --> 00:48:01,720 +بدركز، بدركز على الشغلات التالية، في سؤال هذا + +548 +00:48:07,470 --> 00:48:13,370 +هدول الأسئلة هدا و هدا و هدا التلاتة هذا حلناه + +549 +00:48:13,370 --> 00:48:19,290 +عظمناه هذا طلبته اسمه عظمناه و حلناه هذا برضه جيد + +550 +00:48:19,290 --> 00:48:22,910 +و هذا كمان طبعا ما انتوا شايفين هذا طلبه بال + +551 +00:48:22,910 --> 00:48:25,350 +circle و ال syndical طبعا طلبه بال syndical بس + +552 +00:48:25,350 --> 00:48:28,610 +عشان يتفكوا فيه لإن هو مدين ال vector بال circle + +553 +00:48:28,610 --> 00:48:31,870 +coordinate عشان أحله بال syndical بدي كتير أخد وقت + +554 +00:48:31,870 --> 00:48:35,040 +أحور كل circle ل syndicalده كان من الحل لكن لو بدى + +555 +00:48:35,040 --> 00:48:37,900 +يبقى انا في امتحان في ال syndical coordinates + +556 +00:48:37,900 --> 00:48:40,600 +بجهزكوا من نصه لحيث انه يكون ال vector بال + +557 +00:48:40,600 --> 00:48:42,380 +syndical coordinates ليه مايكون في ال circle + +558 +00:48:42,380 --> 00:48:47,600 +بتحوله في ال society هدى + +559 +00:48:47,600 --> 00:48:54,980 +طبعا اللي هو اللي على عرض و اللي على الخيطة اللي + +560 +00:48:54,980 --> 00:48:58,760 +على عرض و اللي على الخيطة طيب ما زال فتحتوا المجال + +561 +00:48:58,760 --> 00:49:04,390 +نور تطلع علينا شفاني على عرضبدي اكيد circle + +562 +00:49:04,390 --> 00:49:05,970 +coordinates و syndical coordinates اول syndical + +563 +00:49:05,970 --> 00:49:11,370 +coordinates اللي تحت ايش تثبت فيه تثبت اه syndical + +564 +00:49:11,370 --> 00:49:18,950 +coordinates احكي + +565 +00:49:18,950 --> 00:49:27,650 +لك اس رو لأ syndical انا بحكي اه واش كلمة اخرى زد + +566 +00:49:27,650 --> 00:49:29,330 +زد هو اللي تبقى + +567 +00:49:34,960 --> 00:49:40,760 +سن شوية ايش H انت قلت ثابت R؟ انا بحكي Syndical + +568 +00:49:40,760 --> 00:49:44,020 +Coordinates مرجعي اللي حكيت روشان مرة هذه طلعيها + +569 +00:49:44,020 --> 00:49:47,780 +روشان لو واحد قال R ثابتة بقوله لا انت بتحكي صدق + +570 +00:49:47,780 --> 00:49:52,840 +اي هالة و اي هالة النجوطين يلهم نفس ال R؟ لا لكن + +571 +00:49:52,840 --> 00:49:57,600 +النجوطين يلهم نفس ال Z Z بتسوي Zero طب بيديس فيك + +572 +00:49:57,600 --> 00:50:02,270 +ال Coordinates ايش فيك تاني؟ Pro بدي فيك تانيرجعنا + +573 +00:50:02,270 --> 00:50:05,530 +على الأرض .. رجعنا على الطاولة .. براو عليكم طيب + +574 +00:50:05,530 --> 00:50:12,730 +ميجي ليه هذي؟ بال Syndical Coordinates ماشي + +575 +00:50:12,730 --> 00:50:19,970 +ثابت؟ ال Phi .. Phi .. Phi .. 90 درجة .. في ال + +576 +00:50:19,970 --> 00:50:23,770 +Spherical Coordinates ما هي Phi في ال Spherical + +577 +00:50:23,770 --> 00:50:25,530 +Coordinates؟ ما هي في ال Syndical Coordinates؟ ان + +578 +00:50:25,530 --> 00:50:31,130 +ال Phi كمه .. برضه Phi تبقى .. إذا سطحين يا واحد + +579 +00:50:32,000 --> 00:50:35,240 +لكن انا كام خط اكام line واحد اتنين تلاتة اربع + +580 +00:50:35,240 --> 00:50:42,280 +عشان نسكوا تمام وفي سؤال كمان اظن .. احكي في ربع + +581 +00:50:42,280 --> 00:50:44,820 +الصوانة بدي ارجعله كمان تذكريني في أحد السؤال + +582 +00:50:44,820 --> 00:50:47,340 +السؤالة هجيتش احنا بنقول مثلا الدائرة اللى تحت + +583 +00:50:47,340 --> 00:50:50,060 +الدائرة رجع الدائرة اللى تحت وقولنا بس نسقطها من + +584 +00:50:50,060 --> 00:50:53,320 +فوق بس على محور واحد بس على زاوية واحد على تانية + +585 +00:50:53,320 --> 00:50:57,640 +اتنين طب هجيت الدائرة كامةالدق يعني ولا الكورة؟ + +586 +00:50:57,640 --> 00:51:01,360 +الكورة .. الكورة الشكل عام مثلا إذا إحنا دي طبعا + +587 +00:51:01,360 --> 00:51:05,220 +فمن سنة لباى بتاع تسقطيها طب عاد أسس .. يعني كيف + +588 +00:51:05,220 --> 00:51:08,520 +بنسقطها تقريبا تيجي بقى؟ يعني إذا بتبتد من سنة + +589 +00:51:08,520 --> 00:51:12,160 +لباى لكورة .. لكورة كامة؟ براو عليك، هي كورة، هي + +590 +00:51:12,160 --> 00:51:15,600 +مأكزة أيوة، فهي كيف بتبدأ .. شوف .. شوفين النقطة + +591 +00:51:15,600 --> 00:51:16,040 +هذه؟ + +592 +00:51:20,870 --> 00:51:25,110 +ثاني شوية نقطة هذي جت إنتي تتبعتها .. هذي .. و هذي + +593 +00:51:25,110 --> 00:51:31,870 +.. هذي هي .. هذي هي جوابك .. مش أنت .. هتساعدتي .. + +594 +00:51:31,870 --> 00:51:34,850 +تجيلي وين من وين ال bar .. اللي فوق zero .. و هذي + +595 +00:51:34,850 --> 00:51:42,750 +نم .. نم .. نم .. و هذي كده .. خلصنا .. تمام؟ + +596 +00:51:42,750 --> 00:51:46,750 +موعدنا يوم التنين .. حضروا حالكم .. او حضر انا + +597 +00:51:46,750 --> 00:51:48,490 +حالي .. منكم .. + +598 +00:51:51,430 --> 00:51:52,410 +لو كنتوا لها عافية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/EnTUDeujhMI.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/EnTUDeujhMI.srt new file mode 100644 index 0000000000000000000000000000000000000000..8be11c618579292fb6edc23dda88306425a71699 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/EnTUDeujhMI.srt @@ -0,0 +1,1933 @@ +1 +00:00:21,520 --> 00:00:27,220 +تمام، وكيف نحن عندنا بعد ما أخذنا Ampere's law و + +2 +00:00:27,220 --> 00:00:30,380 +شوفنا كيف نطبق على Ampere's law، إذا كنتوا ذاكرين. + +3 +00:00:30,380 --> 00:00:34,600 +Ampere's law ينطبق على حالات أربعة، ما اللي هو مش + +4 +00:00:34,600 --> 00:00:38,640 +خامس، الـ infinite lines، الـ infinite planes، + +5 +00:00:38,640 --> 00:00:46,340 +الـ solenoids، وطبقنا عليها الحالات الأربعة بكل + +6 +00:00:46,340 --> 00:00:51,090 +تفاصيلها في المجال الكهربائي، إذا كنتوا بتتذكروا. + +7 +00:00:51,090 --> 00:00:59,250 +جيبنا E و E، جيبنا من قانون كولوم، من قانون جاوس في + +8 +00:00:59,250 --> 00:01:02,010 +الآخر، اللي جينا لا قانون كولوم ولا قانون جاوس + +9 +00:01:02,010 --> 00:01:07,870 +بصعوبة في بعض الحالات، روحنا جيبنا حاجة سميتها V. + +10 +00:01:07,870 --> 00:01:14,790 +وقلنا E بيساوي سالب ديل V، تتذكرينها هذه؟ هذه V is + +11 +00:01:14,790 --> 00:01:17,950 +a scalar، في الآخر طلع هو الـ electric potential. + +12 +00:01:17,950 --> 00:01:22,330 +سميناها الـ electric potential وكان له ميزة كبيرة، + +13 +00:01:22,330 --> 00:01:29,090 +أنه التعامل معه أسهل، صحيح؟ وبالتالي قد نجيب V من + +14 +00:01:29,090 --> 00:01:36,430 +قانون كولوم أو من Laplace equation، هذا من + +15 +00:01:36,430 --> 00:01:42,400 +أين جبناه؟ قلنا لأنه احنا بنعرف أن دايفرجنس الـ E بيساوي صفر، صح؟ + +16 +00:01:42,400 --> 00:01:48,920 +ولا لا، الكيرل للـ E بتساوي صفر. هذا رياضيا بيقول إذا + +17 +00:01:48,920 --> 00:01:55,620 +لازم E تُكتب بصيغة gradient لأي scalar function. + +18 +00:01:55,620 --> 00:02:00,120 +ليش؟ لأن دي اللي بتخليها... دي اللي بتخليها صفر، فجابوا العلاقة + +19 +00:02:00,120 --> 00:02:03,460 +هذه، وفي الآخر عرفوا V وبدأوا يشتغلوا فيها، وانشهرت + +20 +00:02:03,460 --> 00:02:08,040 +الـ V، تمام؟ تمام. طيب، في الـ magnetic field، إيش بيحصل؟ + +21 +00:02:08,040 --> 00:02:13,660 +هل... الـ curl للـ B زيرو؟ قالوا له: لأ، الـ curl للـ B مش زيرو. + +22 +00:02:13,660 --> 00:02:19,200 +طيب، إذا كيف بده يطلع معانا؟ خلينا نشوف، احنا بنعرف أن + +23 +00:02:19,200 --> 00:02:24,840 +الـ divergence للـ B بيساوي صفر. صح؟ أنا خلصت اللي عندنا؟ فيه + +24 +00:02:24,840 --> 00:02:29,540 +شيء وأنا ماخلصتوش؟ السيلونويد + +25 +00:02:29,540 --> 00:02:33,940 +ماعملتوش؟ ما عملتوش؟ أكيد؟ + +26 +00:02:37,170 --> 00:02:44,530 +أنا متأخر معاكم، متأخر يعني، بس + +27 +00:02:44,530 --> 00:02:47,690 +تهت. + +28 +00:02:47,690 --> 00:02:53,490 +خلينا... أنا عشان عندي شباب منيخدمة كتير عندي، طيب. + +29 +00:02:53,490 --> 00:03:00,390 +عندي شباب منيخدمة خلصت، يبقى وضعهم أحسن منكم أنتم لأنّه + +30 +00:03:00,390 --> 00:03:08,510 +كنت متخدم. تمام. find the magnetic field of a very + +31 +00:03:08,510 --> 00:03:13,450 +long solenoid consisting of closely wound coils + +32 +00:03:13,450 --> 00:03:17,170 +per unit length on a cylinder of radius capital R + +33 +00:03:17,170 --> 00:03:20,890 +carrying a current I. ما هو الـ solenoid؟ الـ + +34 +00:03:20,890 --> 00:03:26,150 +solenoid هو ملف حلزوني، ملف حلزوني، تمام؟ هذا الملف + +35 +00:03:26,150 --> 00:03:30,400 +الحلزوني، إذا كانت الدوائر قريبة من بعضها يعني + +36 +00:03:30,400 --> 00:03:34,600 +اللفات الكتيرة، باعتبرها عبارة عن دوائر فوق بعض، + +37 +00:03:34,600 --> 00:03:37,460 +مظبوط ولا لأ؟ طبعاً. أنا ممكن أجيبه كده، ممكن أن + +38 +00:03:37,460 --> 00:03:41,780 +أحسب كل واحدة لحالها، بتعرف مجالها، بقول له: آه، بقول له: + +39 +00:03:41,780 --> 00:03:47,380 +أعتبر هذه اللفة عنصر كامل، تمام؟ لكن، هل ممكن + +40 +00:03:47,380 --> 00:03:53,180 +نستخدم أمبير؟ وهنا بس فتحت بطنه من جوا، وشفت، هذا + +41 +00:03:53,180 --> 00:03:58,140 +تيار بيمشي هيك، تمام؟ بيمشي هيك، معناته لو إتطلعت + +42 +00:03:58,140 --> 00:04:02,660 +على هذا التيار، بيتدخل هنا وبيخرج، صح ولا لأ؟ يعني + +43 +00:04:02,660 --> 00:04:05,500 +هايجي تيار، لما يطلع حاجة، بيقول أنا داخل وأنا خارج... + +44 +00:04:05,500 --> 00:04:08,160 +أنا داخل وأنا خارج... داخل خارج... داخل خارج... + +45 +00:04:08,160 --> 00:04:12,160 +داخل خارج... بدي شدة المجال... أول شي أنا وياكم بدي + +46 +00:04:12,160 --> 00:04:16,240 +أشوف شدة المجال outside. لما بدي أدي لكم شدة المجال + +47 +00:04:16,240 --> 00:04:21,200 +outside يعني... + +48 +00:04:21,200 --> 00:04:25,020 +هذا شدة المجال هو كأنه جاي من سلكين... من السلك + +49 +00:04:25,020 --> 00:04:30,330 +هذا، ومن السلك هذا... صح؟ تمام. مين بده يدرب بإيده؟ + +50 +00:04:30,330 --> 00:04:33,750 +بده يحدد الاتجاه تبعي اللي هي... كيه بده يكون + +51 +00:04:33,750 --> 00:04:38,330 +اتجاهه؟ حد يقول... أصبحكم... بده يقوم برا؟ يلّا، كملي... + +52 +00:04:38,330 --> 00:04:48,930 +هيك... إذا هذه P لللفة، صح؟ وهذه إيه؟ المسافة + +53 +00:04:58,900 --> 00:05:03,140 +بفرض هذه متساوية، هذه إيش متساوية؟ هذه مسافة، هذه لو + +54 +00:05:03,140 --> 00:05:09,020 +كانت هذه المسافة صغيرة جداً، بيكون تقريباً زيرو. طيب، هنا + +55 +00:05:09,020 --> 00:05:14,240 +من يجيب المهمة دي؟ مثل كده... طلع عليهم يختاروا سلاح + +56 +00:05:14,240 --> 00:05:19,100 +حقكم مثلاً، وأنت عملت بإيديك كم سلاح حقك؟ بس بالهوا + +57 +00:05:19,100 --> 00:05:20,700 +عملت بإيديك سفينة واحدة. + +58 +00:05:28,120 --> 00:05:30,240 +الواحد لازم يقوم باستخدام الاتجاهات اللي بيحاول + +59 +00:05:30,240 --> 00:05:34,080 +يجيبها... تتجمع... تتجمع... تتجمع... تتجمع... تتجمع... + +60 +00:05:34,080 --> 00:05:37,200 +تتجمع... تتجمع... تتجمع... تتجمع... تتجمع... تتجمع + +61 +00:05:37,200 --> 00:05:38,460 +... تتجمع... تتجمع... تتجمع... تتجمع... تتجمع... + +62 +00:05:38,460 --> 00:05:41,540 +تتجمع... تتجمع... تتجمع... تتجمع... تتجمع... تتجمع + +63 +00:05:41,540 --> 00:05:42,380 +... تتجمع... تتجمع... تتجمع... تتجمع... تتجمع... + +64 +00:05:42,380 --> 00:05:47,790 +تتجمع... تتجمع... تتجمع... تتجمع... تتجمع... تصحّح + +65 +00:05:47,790 --> 00:05:52,190 +ولا لأ؟ إذا جوا المجال مش زيرو، برا ممكن يكون زيرو. + +66 +00:05:52,190 --> 00:05:56,170 +تمام. عشان كده بيقول الـ ideal solenoid اللي بيكون + +67 +00:05:56,170 --> 00:06:00,990 +طويل، هذه المسافة الصغيرة برا، تقريباً زيرو، تعرف + +68 +00:06:00,990 --> 00:06:05,670 +كيف؟ إيش يعني؟ مش زيرو، بس خفيف، وبالتالي for + +69 +00:06:05,670 --> 00:06:09,910 +an ideal solenoid، ideal solenoid، وكان في تجربة ما بعرفش + +70 +00:06:09,910 --> 00:06:12,150 +ضايلة موجودة عندنا ولا لأ؟ في solenoid عندنا في + +71 +00:06:12,150 --> 00:06:16,650 +المختبر، وفي عندنا Tesla meter بيسموه، حاولوا تشوفوا + +72 +00:06:16,650 --> 00:06:19,150 +الـ magnetic field، المجال المغناطيسي، برا وجوا، و + +73 +00:06:19,150 --> 00:06:23,670 +تشوفوا قدر الفرق اللي برا، تقريباً من الـ Zero. احنا + +74 +00:06:23,670 --> 00:06:27,630 +نظرياً، بدنا نعتبر في أي solenoid ideal، الشروط + +75 +00:06:27,630 --> 00:06:32,130 +الـ solenoid ideal اللي لفته كتيرة، طويل، ونسقط + +76 +00:06:32,130 --> 00:06:39,110 +الصغير، بيكون B outside ماله؟ زيرو. B outside زيرو، هذه + +77 +00:06:39,110 --> 00:06:43,240 +المعلومة اللي بدنا نعتبرها. إذا بيقول لي the magnetic + +78 +00:06:43,240 --> 00:06:47,000 +field for a long solenoid، الطول أكبر بكثير من نصف + +79 +00:06:47,000 --> 00:06:52,120 +القطر، يعني اسمها يعني نصف القطر مهمل، تمام. الـ zero + +80 +00:06:52,120 --> 00:06:58,120 +outside، and uniform inside، من جميع... جميع، تمام؟ + +81 +00:06:58,120 --> 00:07:01,520 +Uniform، طبعاً، تشوفوا الطول بيخرب بالـ uniformity عند + +82 +00:07:01,520 --> 00:07:07,620 +الأطراف، عند الأطراف بتبدأ مش + +83 +00:07:07,620 --> 00:07:14,590 +شكلها. هي رابطة التكنولوجيا المتوسطة، تمام؟ آه، مش + +84 +00:07:14,590 --> 00:07:23,450 +مشكلة. بكون أنا... آه، أنا عارف، تمام، آه، احكوا هم + +85 +00:07:23,450 --> 00:07:31,890 +سالوني الموضوع تاني، طيب، خلينا لما نرجع نقولها. تمام، إذا + +86 +00:07:31,890 --> 00:07:38,030 +أنا الآن، كيف بدي أجيب باستخدام قانون أمبير الـ + +87 +00:07:38,030 --> 00:07:41,930 +magnetic field؟ إلا الـ loop الأولى. أي طالب بيجي، ع + +88 +00:07:41,930 --> 00:07:45,890 +باله، أنت المرة دي في حالتين، أخذت الـ loop دائرة، صح + +89 +00:07:45,890 --> 00:07:49,590 +ولا لا؟ المنطق أنك تجرب الدائرة، بتظبط ولا لأ؟ أيه + +90 +00:07:49,590 --> 00:07:52,530 +الشرط؟ أنه لازم على الدائرة يكون constant، صح ولا + +91 +00:07:52,530 --> 00:07:55,670 +لا؟ حدد أن أنا بدي شدة المجال عند نقطة داخلية، + +92 +00:07:55,670 --> 00:08:00,110 +outside، sorry، inside، هنا، مش هنا، هنا، هاي + +93 +00:08:00,110 --> 00:08:05,230 +inside، لو أخذت الدائرة زي هيك، هل طول ما أنا ماشي + +94 +00:08:05,230 --> 00:08:10,550 +هيك، المجال موازي ثابت؟ ليش ما ثابت؟ يعني اسمه طيب؟ + +95 +00:08:10,550 --> 00:08:17,370 +خليني أقول، هون بيساوي هون، وهون بيساوي هون، بيختلف. إذا بيساوي + +96 +00:08:17,370 --> 00:08:21,270 +ما ثابت، إذا هذه الدائرة ما بتظبطش معك. قالوا: طب إيش + +97 +00:08:21,270 --> 00:08:23,970 +نسوي؟ قالوا: ما احنا ذكيين، الأربع أشكال اللي رسمتهم، + +98 +00:08:23,970 --> 00:08:27,650 +مثلث، وواحد... أعوض، يقول لنا: أعوض بينهم ومثلث مش يعني + +99 +00:08:27,650 --> 00:08:32,210 +ما ضل عندي، إما دائرة أو مستطيل، اجت أخذت مستطيل، بقول + +100 +00:08:32,210 --> 00:08:35,830 +هلأ، إني أخدت مستطيل. إيش قانون أمبير؟ بيقول لي هذا + +101 +00:08:35,830 --> 00:08:41,690 +هو قانون التكامل المغلق على دي ال، اللي بيسموه μ₀I + +102 +00:08:41,690 --> 00:08:49,530 +enclosed، هذه الدائرة، كم ضلع لها؟ ضلع واحد. طب، و + +103 +00:08:49,530 --> 00:08:53,550 +المستطيل؟ إذا هذا التكامل بيصير أربعة تكاملات، بيصير + +104 +00:08:53,550 --> 00:08:58,650 +أنت بتتعامل مع كل ضلع لحاله، مع كل تكامل لحاله، فإيش + +105 +00:08:58,650 --> 00:09:03,650 +بيصير؟ بيقول لي: هاي طلعتها. أنا أين مشكلتي هنا؟ + +106 +00:09:03,650 --> 00:09:07,290 +أن كل التكاملات، إذا واحد منهم ما نحله، معناته أنت + +107 +00:09:07,290 --> 00:09:11,970 +الـ loop تبعها غلط، صح ولا لا؟ إتطلع على هالجدي، تشوفوا + +108 +00:09:11,970 --> 00:09:17,070 +ليش هاد الـ loop، أول واحد راح، اللي هو من C ل D، من + +109 +00:09:17,070 --> 00:09:21,690 +C ل D، راح. ليش راح؟ لأنه B بيساوي زيرو، تمام؟ + +110 +00:09:21,690 --> 00:09:25,390 +هجيت. زي ما توحّدت، نشوف هذا الضلع، هنا فيه B، وهنا + +111 +00:09:25,390 --> 00:09:31,150 +ما فيه B. إذن، هنا B مش ثابت، لكن لحسن الحظ، هو عمودي + +112 +00:09:31,150 --> 00:09:38,650 +على الـ dl، الـ dot product ضلّ بمشكلة B. إذن، من B ل C + +113 +00:09:38,650 --> 00:09:45,870 +ومن D ل A راحوا. ليش راحوا؟ مش عشان بيساوي زيرو، عشان الـ + +114 +00:09:45,870 --> 00:09:51,290 +dot product، الزاوية ٩٠ درجة، إذن هدول كم واحد راحوا؟ راحوا + +115 +00:09:51,290 --> 00:09:55,280 +ضلع واحد. إضل عندي وين ما راح؟ و... دي هو uniform ولا + +116 +00:09:55,280 --> 00:10:00,000 +مش uniform؟ uniform. طلع برا، الـ dot product راحت + +117 +00:10:00,000 --> 00:10:03,320 +لأن الزاوية زيرو. إيش تكاملت دي ال؟ طول هذا، إيش + +118 +00:10:03,320 --> 00:10:08,720 +طوله؟ الـ l، إذن هذه صارت... إيش اللي ضل عندنا؟ آه، + +119 +00:10:08,720 --> 00:10:12,900 +هذه B في الـ l بتساوي μ₀I enclosed، you know، يشوف I enclosed. + +120 +00:10:12,900 --> 00:10:21,730 +مين يذكرني I enclosed؟ إيش تعريفها؟ التيار اللي هو... + +121 +00:10:21,730 --> 00:10:24,390 +تعريفه... تعريفه... التيار... آه... ليش كانت بـ + +122 +00:10:24,390 --> 00:10:28,910 +enclosed؟ لو كل مسمّى من اسمه نصيب، صح؟ ليش سمّيتها + +123 +00:10:28,910 --> 00:10:32,590 +enclosed، يا نسمة؟ لكي لا تخترعي شيء ولا تغلبي + +124 +00:10:32,590 --> 00:10:36,630 +حالك في التعريف. I enclosed... ليش سميّتها enclosed؟ + +125 +00:10:36,630 --> 00:10:40,910 +اللي اخترق المساحة... اللي اخترق المساحة اللي + +126 +00:10:40,910 --> 00:10:44,210 +حددتها اللوب... شافها اللوب، دي. طب، المساحة اللي + +127 +00:10:44,210 --> 00:10:48,190 +جواتها بينت؟ التيار اخترقها؟ كم مرة؟ + +128 +00:10:51,290 --> 00:10:55,650 +يعني بعدد اللفات اللي موجودة، يعني اخترقها مرة، + +129 +00:10:55,650 --> 00:10:58,510 +مرتين، ثلاثة، أربعة، خمسة، ستة، سبعة، ثمانية، بتعدّ + +130 +00:10:58,510 --> 00:11:04,370 +منيح من بعيد، ستة على ستة، تمام، إتفّقنا. طيب، هذه + +131 +00:11:04,370 --> 00:11:06,950 +الـ loop، حد قال لي يا ديش تختارها ولا أنا إخترتها + +132 +00:11:06,950 --> 00:11:11,470 +عشوائي. طيب، لو أنا صغّرتها ما فيه مشكلة، لو كبّرتها + +133 +00:11:11,470 --> 00:11:13,910 +شوية، ما فيه مشكلة، صح ولا لأ؟ طب، لو صغّرتها، بدها تصير + +134 +00:11:13,910 --> 00:11:19,890 +ثمانية؟ لو كبّرتها؟ إذا معناته هذا الثمانية عدده مش + +135 +00:11:19,890 --> 00:11:23,330 +المفروض أركن عليه، تمام؟ لكن، إيش مشكلته؟ لما + +136 +00:11:23,330 --> 00:11:26,870 +أكبرها، إيش هاد بيصير؟ هاد بيكبر، ولو صغّرتها، هاد + +137 +00:11:26,870 --> 00:11:34,270 +بيصغر، فالـ N على L هو ثابت، كنسبة، ثمانية على L، + +138 +00:11:34,270 --> 00:11:38,930 +كبّر الثمانية، الـ L كبرت، صغّر الثمانية، الـ L صغّرت، تمام؟ + +139 +00:11:38,930 --> 00:11:43,860 +فالمهم، بيقول لي: for the portions B, C, and D, A, + +140 +00:11:43,940 --> 00:11:47,280 +B is perpendicular to Dl، for the portions C, D, + +141 +00:11:47,340 --> 00:11:53,660 +B equal to zero، وعملتها وطلعتها، هنا إذا N على + +142 +00:11:53,660 --> 00:11:58,820 +L، ثمانية على L، هذا ثابت، سموّه small n، وعرفوه number + +143 +00:11:58,820 --> 00:12:02,060 +of turns per unit length، عدد اللفات لكل وحدة + +144 +00:12:02,060 --> 00:12:07,220 +الطول، وهذا ثابت، إنّ كلّنا، مهما تاخذ لفات، بيطلع عندنا + +145 +00:12:07,220 --> 00:12:13,310 +بيطلع عندنا B uniform، ثابت، μ₀n في الـ I، بيعتمد + +146 +00:12:13,310 --> 00:12:17,850 +على I، تيار، بيعتمد على عدد اللفات لكل وحدة الطول، و + +147 +00:12:17,850 --> 00:12:23,190 +كلّ solenoid بيجي بإيديكم مكتوب جواته من تركيبه + +148 +00:12:23,190 --> 00:12:27,610 +كم لفة لكل متر أو لكل سنتيمتر، إذا الـ N بتعطى زي + +149 +00:12:27,610 --> 00:12:30,950 +الكباسيتور، ماشي؟ بيحطوا الـ C تبعه، وهذا الـ N + +150 +00:12:30,950 --> 00:12:36,630 +تبعه بيكون مكتوب، تمام؟ حلو. هذا للـ solenoid. + +151 +00:12:40,790 --> 00:12:44,770 +طيب، شوف الـ solenoid هذا، إتفّقنا شكله وعرفناه أنتم، + +152 +00:12:44,770 --> 00:12:47,870 +الـ solenoid زي الزمباراك، بدا يجيبوا الزمباراك، وعملوا + +153 +00:12:47,870 --> 00:12:53,970 +كعكة، كعكة، طلع الـ toroid. إذا الـ toroid هو سلك، + +154 +00:12:53,970 --> 00:12:57,350 +بدل ما نلفّه على شكل أسطواني، بدنا نلفّه على شكل كعكة. + +155 +00:12:58,530 --> 00:13:03,390 +كعكة، صح الكلام لغوياً؟ تمام. لأنهم ما بيقولوا + +156 +00:13:03,390 --> 00:13:08,350 +بيلف على شكل دونات. طبعاً، كلمة دونات، أفطرتوا ولا + +157 +00:13:08,350 --> 00:13:12,190 +ما أفطرتوا؟ نفتح نفسنا على ال... على الـ donuts، دونات + +158 +00:13:12,190 --> 00:13:15,050 +هي كلمة فرنسية لكعكة، تمام؟ هي الكعكة البلدية + +159 +00:13:15,050 --> 00:13:18,010 +تبعنا، اللي بيحطوا فيها عجوة، فسموها دونات، صارت + +160 +00:13:18,010 --> 00:13:22,390 +الاسم زي... زي ما دائماً بقول أنا، ال... الـ pizza، مش + +161 +00:13:22,390 --> 00:13:27,260 +مشهورة كثير. ما يأخذ زوجة ساندويش جبنة، صح ولا لا؟ بحطّ + +162 +00:13:27,260 --> 00:13:30,360 +عليها بندورة، بحط عليها قيار، وبيصير بيتزا، وبيصير + +163 +00:13:30,360 --> 00:13:33,900 +... إيه هيقول لي؟ لو هي خبزة وجبنة، زمان سيد وسيدك + +164 +00:13:33,900 --> 00: + +223 +00:17:48,410 --> 00:17:53,910 +و اخترق بعدد اللفات، وعدد اللفات هذا ثابت لأنه + +224 +00:17:53,910 --> 00:17:58,190 +مفترض أنّه الـTroy جالك هذا ألف لفة، خلاص فيه ألف + +225 +00:17:58,190 --> 00:18:05,290 +صح؟ إذًا capital N في الـ I وهي اتنين by R طول + +226 +00:18:05,290 --> 00:18:13,030 +الامبيريان لوب طلعت هنا، طلعولي على هذا، إيش هذا؟ + +227 +00:18:14,110 --> 00:18:21,470 +capital N اتنين باي ار L، يعني هذه في النهارة ميو + +228 +00:18:21,470 --> 00:18:27,950 +نوت ن في الـ I في الـ slow note، مظبوط ولا لأ؟ هذا + +229 +00:18:27,950 --> 00:18:32,230 +تبعت التورويد هذه + +230 +00:18:32,230 --> 00:18:39,050 +الحالات الأربع تبعت amperes + +231 +00:18:39,050 --> 00:18:44,500 +law الآن بدنا نروح على الجهد المغناطيسي، وطبعًا ساموه + +232 +00:18:44,500 --> 00:18:48,300 +vector potential، إنّ الجهد المغناطيسي هيكون + +233 +00:18:48,300 --> 00:18:52,080 +vector وليس scalar، وهذه سلبية لأنّي أنا أتعامل مع + +234 +00:18:52,080 --> 00:18:56,300 +الـ scalar، هسلم تمام، نقول ليه دل ضغط الـ P بتساوي + +235 +00:18:56,300 --> 00:19:02,560 +سفر الـ divergence للـ P بتساوي صفر، طيب، كيف أكتب الـ + +236 +00:19:02,560 --> 00:19:07,760 +B؟ بقدر أقول إنّ الـ B بيساوي دلّ حاجة معينة، دلّ ضغط + +237 +00:19:07,760 --> 00:19:12,340 +الدل بيساوي 0، صح ولا لأ؟ بقدر أقول الـ B دلّ .. + +238 +00:19:12,340 --> 00:19:17,620 +هرجيت، لو قُلت دلّ ضغط دلّ cross إيش ما يكون، يكون هنا؟ + +239 +00:19:17,620 --> 00:19:18,580 +كده شهد رياضية؟ + +240 +00:19:22,080 --> 00:19:26,920 +هذا عمودي على الدلّ وعمودي على الـ A، وهذا يجب أن + +241 +00:19:26,920 --> 00:19:31,180 +يكون عمودي على الـ 0، إذًا الـ B بدك إياها تكتبها إلا + +242 +00:19:31,180 --> 00:19:35,800 +care لشغلها، care لشغلها، طب ما زال care الشغل هذه + +243 +00:19:35,800 --> 00:19:38,900 +ممكن تكون scalar ولا لازم تكون vector؟ لازم تكون + +244 +00:19:38,900 --> 00:19:44,600 +vector، لأنّه care، إذًا من هنا جالي الـ B، تكتب دلّ عبر + +245 +00:19:44,600 --> 00:19:51,840 +الـ A، الشيء الـ A رياضيًا أنا vector، فيزيائيًا لجوها + +246 +00:19:51,840 --> 00:19:54,780 +الـ vector potential، بيسموها الـ potential تبع + +247 +00:19:54,780 --> 00:20:01,080 +المجال المغناطيسي، Now بيجي نقل هيبي قال لي جيبي الـ + +248 +00:20:01,080 --> 00:20:07,320 +care تبعها، sorry، خلينا الـ R على الـ R cubic بيساوي + +249 +00:20:07,320 --> 00:20:13,060 +نقص دي لوحدة الـ R، عملناها عدة مرات، فصارت هيبي طبعًا + +250 +00:20:13,060 --> 00:20:18,660 +أنا الآن هذا Vector رياضي في الأول .. رياضيات .. + +251 +00:20:18,660 --> 00:20:20,140 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +252 +00:20:20,140 --> 00:20:20,380 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +253 +00:20:20,380 --> 00:20:20,980 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +254 +00:20:20,980 --> 00:20:22,720 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +255 +00:20:22,720 --> 00:20:22,800 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +256 +00:20:22,800 --> 00:20:23,180 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +257 +00:20:23,180 --> 00:20:23,240 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +258 +00:20:23,240 --> 00:20:30,980 +هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. هكذا .. + +259 +00:20:30,980 --> 00:20:42,860 +هكذا .. هكذا .. هكذا .. هكذا + +260 +00:20:42,860 --> 00:20:51,040 +.. جالي خلّيني نشوف هذي بتساوي كذا، دلّ واحد على R + +261 +00:20:51,040 --> 00:20:54,920 +cross، الجي برضه، لسه أنا بدي إياها عشان أعرف أقارن، بدي + +262 +00:20:54,920 --> 00:20:58,460 +دلّ cross شغلة عشان أقول هذه الشغلة هي إيه، طبعًا كيف + +263 +00:20:58,460 --> 00:21:00,340 +أعملها، جالي برضه الرياضيات بتسعفني + +264 +00:21:07,040 --> 00:21:12,420 +تمام، كاللي فيه identity بتقول الـ care لـ scalar و + +265 +00:21:12,420 --> 00:21:17,600 +vector الأول تفاضل الثاني زي التفاضل الأول في + +266 +00:21:17,600 --> 00:21:21,660 +الثاني، إيش الـ F وإيش الـ A؟ جالي الـ F وحدة على R + +267 +00:21:21,660 --> 00:21:26,100 +لأنّه هاد الـ scalar، الـ F وحدة على R، والـ A هي الـ G + +268 +00:21:26,100 --> 00:21:29,880 +اشتريه .. آه الـ A هي الـ G، تمام، نعمل مقارنة إذًا + +269 +00:21:29,880 --> 00:21:35,900 +صار هذا عبارة عن دلي الـ F cross، يعني هذا هو هذا، صح + +270 +00:21:35,900 --> 00:21:42,330 +ولا لأ؟ هي الـ F دلّ الـ F cross الـ A، هل بتساوي هذه + +271 +00:21:42,330 --> 00:21:49,970 +نقص هذه؟ صحيح، جالي أحطها إذًا + +272 +00:21:49,970 --> 00:21:58,630 +هذه ساود دلّ cross الـ A في الـ F، هي الـ F ناقص هذه + +273 +00:21:58,630 --> 00:22:05,310 +تمام؟ كمّر شغل الرياضيات، قال لي هذه Zero، لأنّك الـ J + +274 +00:22:05,310 --> 00:22:11,210 +لا تعتمد على R شرطة، وهذه دلّ باشرة على باشرة الـ R، إذًا + +275 +00:22:11,210 --> 00:22:14,910 +هذه Zero، since J is independent on R، لا تعتمد على + +276 +00:22:14,910 --> 00:22:19,910 +R شرطة، تمام، إذًا صارت هيك، طلعوا كيف أصبح معايا شغل + +277 +00:22:19,910 --> 00:22:25,670 +الرياضيات، قال لي بيبتساوي دلّ الكروس، هل الآن P + +278 +00:22:25,670 --> 00:22:28,690 +بتساوي دلّ الكروس الـ A، وهذه دلّ الكروس الـ A، بقدر + +279 +00:22:28,690 --> 00:22:31,710 +أقارن هذه المعادلة مع هذه المعادلة وأطلع إيه، ولا + +280 +00:22:31,710 --> 00:22:35,550 +ما أقدرش أطلع إيه، بقدر أطلع إيه، إذًا طلعت إيه رياضيًا + +281 +00:22:35,550 --> 00:22:41,010 +فيزيائيًا هيها، فيزيائيًا هيها، طبعًا أنا بدأت بالـ J، لو + +282 +00:22:41,010 --> 00:22:47,930 +كانت هذه K، طبعًا V هنا فبيصير KDA أو IDL، طبعًا هذا + +283 +00:22:47,930 --> 00:22:51,610 +بيشبه كتير الجهد الكهربائي، إيش الجهد الكهربائي؟ + +284 +00:22:51,610 --> 00:22:56,190 +إذا أذكّركم فيه، الجهد الكهربائي كان V بيساوي واحد على + +285 +00:22:56,190 --> 00:23:02,470 +أربعة باي E تكامل DQ على R script، مظبوط هيك ولا لأ؟ + +286 +00:23:02,470 --> 00:23:06,770 +هذا شطر، اتنين دي كيو على R script، واحد على أربعة + +287 +00:23:06,770 --> 00:23:09,990 +باي أبشر نوت ميو نوت على أربعة باي، المقام واحد ولا + +288 +00:23:09,990 --> 00:23:14,030 +مش واحد؟ واحد، هي جيت الـ دي كيو زمان كان هنا تلات + +289 +00:23:14,030 --> 00:23:20,690 +صياخ، لامدا دي L، و سيغما دي A، و رو دي تاو، لامدا + +290 +00:23:20,690 --> 00:23:29,270 +دي L، I دي L، سيغما كيو كيو دي A، وبعدين الـ رو دي تاو، هي + +291 +00:23:29,270 --> 00:23:36,560 +هيبس بدل شحنات طيار، بدل شحنات طيار، هذه هي + +292 +00:23:36,560 --> 00:23:42,900 +قيمة A، طيب قال لي بدل ما تجيب B، إذًا أسهلك تجيب A، + +293 +00:23:42,900 --> 00:23:46,100 +جيبها، طب بدي أنا B، قال لي هذه المعادلة بتجيب B في + +294 +00:23:46,100 --> 00:23:49,420 +الآخر، بتعمل care، صح ولا لأ؟ لكن إيش شيء في الآخر + +295 +00:23:49,420 --> 00:23:53,540 +Lego في التطبيقات؟ لأ، طب هو أنا هذا ما عمليش شيء + +296 +00:23:53,540 --> 00:23:57,780 +كتير ميزة عن بيو سوفارت، لو أنا جايب كل حاجة، جايبها + +297 +00:23:57,780 --> 00:24:02,100 +الـ J موجودة، والـ R بدي أجيبها، وأنت في الآخر بدك + +298 +00:24:02,100 --> 00:24:05,970 +B، ما بجيب B من بيو سوفارت، لو، بريح حالي، وبالتالي هذا + +299 +00:24:05,970 --> 00:24:11,970 +ما عملش كتير ميزة زي الجهد الكهربائي، وظلّ بيه أشهر + +300 +00:24:11,970 --> 00:24:16,110 +من إيه .. ظلّ بيه أشهر من إيه، لكن عشان التناظر في + +301 +00:24:16,110 --> 00:24:19,790 +العلم يظلّ موجود، زي ما فيه للمجال الكهربائي جهد + +302 +00:24:19,790 --> 00:24:22,310 +قالوا لازم يكون للمجال موجود يصيره جهد، فطلعوله + +303 +00:24:22,310 --> 00:24:27,150 +الجهد، وهذه هتشوفوها الـ A طبعًا، أنتم هتاخدوها في + +304 +00:24:27,150 --> 00:24:31,350 +بعض منكم كهرومغناطيسية 2 هتشوفوها لمحالة، لكن برضه في + +305 +00:24:31,350 --> 00:24:34,590 +بعض المساقات في الـ camp هتلاقوا إيه؟ إنّك في الـ + +306 +00:24:34,590 --> 00:24:38,530 +atomic، إذًا ما أخدتوهاش لسه، هتلاقوا إيه؟ فبالتالي + +307 +00:24:38,530 --> 00:24:44,190 +إيه علميًا إلها قيمة، لكن تطبيقيًا ما اشتهرتش زي الـ V + +308 +00:24:44,190 --> 00:24:49,170 +ليش؟ لأنّها دلّ vector، والتعامل معها مشكلة، تمام + +309 +00:24:49,170 --> 00:24:55,000 +إذًا هذه هو الـ vector potential، شوف هذا المثال، هذا + +310 +00:24:55,000 --> 00:24:59,740 +مثال مشهور، مع صعوبة الرياضيات اللي فيه، بيقول لي هذا + +311 +00:24:59,740 --> 00:25:04,840 +طبعًا هذا ليش مشهور؟ أولًا نقرأ سؤال ونشوف ليش + +312 +00:25:04,840 --> 00:25:09,520 +مشهور، وكل الكتب بياخذه مثال، بيقول لي Aspherical + +313 +00:25:09,520 --> 00:25:15,300 +shell of radius R، شل من جوا فاضي، صح ولا لأ؟ + +314 +00:25:15,300 --> 00:25:18,060 +Carrying a uniform charge density sigma، حطّت عليه + +315 +00:25:18,060 --> 00:25:21,160 +شحنات، حاجات عليه شحنات، الشحنات لحالها بتولد مجال + +316 +00:25:21,160 --> 00:25:26,610 +مغناطيسي، إيش شرطها؟ لازم تتحرك، قال لي طيب إذًا اتحركت + +317 +00:25:26,610 --> 00:25:29,670 +الشرطة، يا طيب، قال لي أنا ما بديش أحرك الشحنات، بدي + +318 +00:25:29,670 --> 00:25:33,690 +أحرك اللي حامل الشحنات، تمام، هذه الشيل بتخليها تلفّ + +319 +00:25:33,690 --> 00:25:40,690 +بتلفّ حوالي نفسها، زي إيش؟ زي الإلكترون، مش + +320 +00:25:40,690 --> 00:25:45,670 +الإلكترون بيعمل spinning، وحنا حكينا زمان كل الظاهرة + +321 +00:25:45,670 --> 00:25:48,970 +المغناطيسية أساسها حركتين من الإلكترون، حركة + +322 +00:25:48,970 --> 00:25:52,150 +الإلكترون حول النواة، وحركة النواة حول نفسه، فإيجي وجا له + +323 +00:25:52,150 --> 00:25:56,050 +جاله، طب الميقظ معناته الإلكترون بيولد مجال + +324 +00:25:56,050 --> 00:26:03,510 +مغناطيسي هو بذاته، ربنا خلقه ما يسيبش، صح ولا لا؟ من + +325 +00:26:03,510 --> 00:26:09,690 +دون أي تأثير، الإلكترون خُلق يلف حول نفسه، ويلف حول + +326 +00:26:09,690 --> 00:26:17,390 +النواة، ما يهمّش، ما يقعدش، إذًا تلقائيًا الإلكترون كونه شحنة + +327 +00:26:17,390 --> 00:26:21,590 +بيولد مجال كهربائي، وكونه متحرك بيولد مجال مغناطيسي + +328 +00:26:21,590 --> 00:26:26,890 +إذًا الإلكترون خلقيًا، يعني من خلقته بيولد مجالين + +329 +00:26:26,890 --> 00:26:31,010 +مجال مغناطيسي ومجال كهربائي، طيب أنا كيف بدي أحسّن + +330 +00:26:31,010 --> 00:26:34,790 +المجال المغناطيسي؟ إحنا بنعرف إنّه من bios of earth + +331 +00:26:34,790 --> 00:26:38,350 +law، أي تيار بيولد مجال مغناطيسي، طيب هجيت هذا + +332 +00:26:38,350 --> 00:26:42,630 +الإلكترون، بحط أو بدي أحط أميتر، وبجيب أمبير، و + +333 +00:26:42,630 --> 00:26:47,370 +بفصّله، إنما هو شحنة متحركة، هي زي هذا، جديش sigma شحنة + +334 +00:26:47,370 --> 00:26:50,610 +الإلكترون E على مساحة الإلكترون، صحيح ولا لأ؟ إذًا + +335 +00:26:50,610 --> 00:26:55,790 +هذا كده مثال منقول عنه مشهور، مع إنّه رياضاته صعبة + +336 +00:26:55,790 --> 00:27:02,400 +بتالي بقول لك هذا بيشبه الإلكترون، تمام؟ الـ 6th spring + +337 +00:27:02,400 --> 00:27:06,380 +at angular velocity ω، find the vector potential it + +338 +00:27:06,380 --> 00:27:13,400 +produces at point R، بدي شدة الجهد المغناطيسي عند + +339 +00:27:13,400 --> 00:27:17,060 +النقطة R، الجهد طبعًا، إذًا جبت جهد بقدر أجيب B، + +340 +00:27:17,060 --> 00:27:22,780 +صحيح ولا لأ؟ تمّ، الآن the current density، أنا بدي + +341 +00:27:22,780 --> 00:27:27,660 +أعرف عملية، أنا هذه هي إيه؟ هي قانونها طبعًا الآن + +342 +00:27:27,660 --> 00:27:32,440 +الشحنات وين موجودة؟ عسطح ولا على حجم؟ عسطح، إذًا + +343 +00:27:32,440 --> 00:27:36,780 +معناته هذا القانون اللي بدي إياه، الـ K دي إيه؟ والـ K + +344 +00:27:36,780 --> 00:27:40,800 +ديتكوا مياة، عبارة عن Sigma في V، K بيساوي Sigma في + +345 +00:27:40,800 --> 00:27:44,960 +V، إذًا معناته بدأ يقول الـ K بيساوي Sigma في V، طب + +346 +00:27:44,960 --> 00:27:48,920 +V مش إلها دعوة بالأوميغا، هو أعطاني أوميغا، ما + +347 +00:27:48,920 --> 00:27:53,220 +أعطانيش V، اللي هي أوميغا cross الـ R، هاي الـ إيه؟ + +348 +00:27:53,220 --> 00:27:57,970 +بدأت أنا أعرف إيش قانوني K، وبعدين K حطه Sigma في V + +349 +00:27:57,970 --> 00:28:01,370 +طيب V مش معطانية، لكن أنا بعرف إنّ V بيساوي Omega في R + +350 +00:28:01,370 --> 00:28:06,070 +صحيح ولا لأ؟ لما اجوا بدهم يشتغلوا Omega في R + +351 +00:28:06,070 --> 00:28:10,190 +قالوا طب Omega في أي اتجاه؟ و R شرطة بعرفها كيف؟ + +352 +00:28:10,190 --> 00:28:14,710 +لكن أنا كيف بتعامل معاها؟ الأصل إحنا دائمًا بنعرف + +353 +00:28:14,710 --> 00:28:20,570 +إنّه بيلف هكذا، و Omega باتجاه محور الدورة، صح ولا لا؟ + +354 +00:28:20,570 --> 00:28:24,050 +ومحور الدورة غالبًا نأخذه الـ Z-axis، صحيح ولا لا؟ + +355 +00:28:24,050 --> 00:28:26,790 +وبالتالي Omega المفروض تكون مع الـ Z-axis، بدوا + +356 +00:28:26,790 --> 00:28:30,210 +يشتغلوا في رياضيات و R .. قالوا R خطها نقطة + +357 +00:28:30,210 --> 00:28:33,770 +عشوائية، أنت بدك تجيبها عن نقطة R، و R ما هي مسمّيها R + +358 +00:28:33,770 --> 00:28:37,070 +hat، صحيح ولا لا؟ لما بدوا يشتغلوا في رياضيات، اتعقد + +359 +00:28:37,070 --> 00:28:42,270 +السؤال معهم، فإيجوا قالوا .. رجعوا لسنة أولى، قالوا + +360 +00:28:42,270 --> 00:28:47,820 +هو الـ Z-axis ثابت، ولا يتغيّر ولا عشوائي، بدي أغيّره + +361 +00:28:47,820 --> 00:28:50,920 +يا عمّ أنا ما بديش Omega في الـ z axis، قالوا خلي + +362 +00:28:50,920 --> 00:28:54,860 +Omega هيك، وخلي الـ point على الـ z axis، ليش بدي + +363 +00:28:54,860 --> 00:28:57,580 +آخذ اختيار هذا، عشان أسّهل شغل رياضي هذا، وبعدين + +364 +00:28:57,580 --> 00:29:02,500 +بُعمّمه، بعدين بُعمّمه، فإيش كتَب لي هنا، جالي خلي + +365 +00:29:02,500 --> 00:29:07,540 +Omega في الـ xz plane، والنقطة اللي بدك تجيبها هي + +366 +00:29:07,540 --> 00:29:12,200 +في الـ z axis، إذًا هذا الاختيار .. طبعًا يجي واحد يقول + +367 +00:29:12,200 --> 00:29:14,580 +أنا إيش بده يجي على بالي؟ مش هيجي على بالك، إحنا + +368 +00:29:14,580 --> 00:29:18,080 +هنقول لك عشان ترتاحوا يعني، اللي أنا قلت لكم أنا في + +369 +00:29:18,080 --> 00:29:21,060 +الأول، بدأت البداية العادية، إنّه أنا لو أنا جيت أي + +370 +00:29:21,060 --> 00:29:25,240 +سؤال مش كهربية، classic، جالي واحد بيلفّ، بقوله ع z + +371 +00:29:25,240 --> 00:29:29,680 +اكسيس، هيك انشأرت، معروفة، اشتغلنا على هذا الأساس، + +372 +00:29:29,680 --> 00:29:33,030 +بدينا نشتغل في رياضيات، اتعقدت مسألة الرياضيات، كيف + +373 +00:29:33,030 --> 00:29:36,370 +بدهم يسهّلوها؟ قالوا خلينا نغيّر بهال axis، غيّروا + +374 +00:29:36,370 --> 00:29:43,230 +الـ axis، سهّل في العملية، تمام، فجالي Omega عبارة عن + +375 +00:29:43,230 --> 00:29:50,700 +في الـ XZ plane، حلّلها Z و X، فيلها X component، ولها + +376 +00:29:50,700 --> 00:29:56,700 +Z component، وليس Y component، طبعًا الـ R شرطة هو هذه + +377 +00:29:56,700 --> 00:30:00,720 +السفير، وبالتالي حطّيتها عبارة عن capital R على + +378 +00:30:00,720 --> 00:30:05,080 +سطحها capital R باتجاه الارهات، صح ولا لأ؟ والارهات + +379 +00:30:05,080 --> 00:30:09,140 +حوّلتها لـ Cartesian coordinates، لأنّ الـ R .. خلّيني + +380 +00:30:09,140 --> 00:30:16,360 +أشوفها R prime بتساوي R capital في الارهات، والـ R + +381 +00:30:16,360 --> 00:30:19,260 +هات حوّلتها لـ Cartesian Coordinates، فكتبتها، قال + +382 +00:30:19,260 --> 00:30:21,660 +لي هالجهة، تخلينا نعمل + +445 +00:35:17,820 --> 00:35:23,720 +إيه؟ مع مين قلنا احنا؟ مع مين؟ مع السلك، مع التيار + +446 +00:35:23,720 --> 00:35:30,550 +صح ولا لأ؟ كيف التيار حركته؟ هكذا ماشي التيار، مش هو هذا؟ + +447 +00:35:30,550 --> 00:35:38,090 +ملف حلزوني هكذا قالوا، إيه؟ هكذا. طب لو أنا أخدت حاجة و + +448 +00:35:38,090 --> 00:35:41,170 +أشوف أقدر أجيب إيه؟ فتلِعِش بيكون السؤال it is + +449 +00:35:41,170 --> 00:35:43,830 +difficult to use equation 44 اللي استخدمناها المرة + +450 +00:35:43,830 --> 00:35:47,210 +اللي فاتت، since the wire is infinite أنت بتقولي ideal + +451 +00:35:47,210 --> 00:35:50,930 +solenoid، infinite solenoid بقولي طب خلي أنا أعرف + +452 +00:35:50,930 --> 00:35:59,950 +هالشغل، magnetic flux بيضطرب الـ dS. طب أمين؟ طيب الآن + +453 +00:35:59,950 --> 00:36:07,410 +خلينا نجيب الـ magnetic flux الـ + +454 +00:36:07,410 --> 00:36:12,130 +B، ما هي dL cross الـ E، مظبوط ولا لأ؟ الـ B dL cross + +455 +00:36:12,130 --> 00:36:15,470 +الـ A. قال لي هنا في حد اسمه strict theory + +456 +00:36:15,470 --> 00:36:22,040 +بتعرفها؟ بنعرفها. طيب، هادي صار عندك إيه؟ تلعب من و + +457 +00:36:22,040 --> 00:36:25,860 +أجي هنا، قال لي لو هذه طلعت برا وقدرتي تجيب هذه + +458 +00:36:25,860 --> 00:36:30,240 +طلعت إيه؟ صح ولا لأ؟ إذن هي دي طريقة تانية، بس بشرط + +459 +00:36:30,240 --> 00:36:34,780 +أن الـ A تكون constant. الآن شوفوا الـ dL، لو بدك تاخد + +460 +00:36:34,780 --> 00:36:42,180 +loop، أنت loop هنا مش هتِطلع الـ A بنفس الاتجاه، مظبوط + +461 +00:36:42,180 --> 00:36:46,020 +ولا لأ؟ إذاً معناته أن اللوب المخلق تبعك هيها إيه + +462 +00:36:46,020 --> 00:36:49,500 +بتكون constant عليها وبنفس الاتجاه بتطلعها برا + +463 +00:36:49,500 --> 00:36:52,120 +فبجيب الـ magnetic field، الـ magnetic flux سهلة + +464 +00:36:52,120 --> 00:36:56,980 +بتجيبها، تمام؟ إذاً معناته بعد ما جالي taking a + +465 +00:36:56,980 --> 00:37:00,180 +closed circle loop، بدك inside و outside. يور دي + +466 +00:37:00,180 --> 00:37:08,520 +مثلها الجيل الطريقة كيف؟ هاي اللوب مين + +467 +00:37:08,520 --> 00:37:12,010 +يجيب لي الـ flux على هالـ loop هذه؟ الـ flux هو نفس + +468 +00:37:12,010 --> 00:37:15,590 +الفعل، الـ flux الكهربائي يا نور، الـ flux الكهربائي أو + +469 +00:37:15,590 --> 00:37:19,590 +الـ flux لأي حاجة هو الشغل في المساحة اللي اخترقها + +470 +00:37:19,590 --> 00:37:23,970 +تمام؟ اخترقها مجال مغناطيسي ولا لأ هنا؟ المجال + +471 +00:37:23,970 --> 00:37:27,090 +المغناطيسي اللي اخترقها اللي هو ميو نوت الـ في الـ + +472 +00:37:27,090 --> 00:37:33,190 +I داخلي، وقديش المساحة هذي؟ هذي π R تربيع. إذا + +473 +00:37:33,190 --> 00:37:37,670 +هذي الـ flux، ميو نوت I في π R تربيع. تمام؟ إذا هذي + +474 +00:37:37,670 --> 00:37:44,680 +عرفته هذي برا، والـ dL. بدك تروح dL، إيش تكملي الـ dL؟ + +475 +00:37:44,680 --> 00:37:50,500 +2πR. حلو، إذا 2πS تربيع حطيتها. بقى دي الـ R + +476 +00:37:50,500 --> 00:37:57,380 +تربيع بتساوي 2πS. هاي إيه؟ طب عندنا نشوف هاي + +477 +00:37:57,380 --> 00:38:02,660 +إيه اللي بنسمع؟ بدي B in لازم تطلع مني، و not in، في + +478 +00:38:02,660 --> 00:38:07,260 +الـ I. كيف بيجيب B in؟ B in هيها دي اللي قَصَّد الـ A + +479 +00:38:07,260 --> 00:38:10,840 +بتعرفي تجيب ... دي اللي بجيبها بتجيب الـ care، بس أنا + +480 +00:38:10,840 --> 00:38:15,420 +أجيبه outside، أولًا خليني أجيبه outside. مين يجيب لي + +481 +00:38:15,420 --> 00:38:21,220 +الـ flux لللوب الكبير هذه؟ طيب + +482 +00:38:25,410 --> 00:38:31,290 +هيو، صح؟ نفطر اليوم؟ أنا اليوم نفطر، صح؟ نفطر، نسمع + +483 +00:38:31,290 --> 00:38:36,170 +هجيت المجال المغناطيسي، بس على اللوح. بدي reflect + +484 +00:38:36,170 --> 00:38:41,150 +على كل الحيطة. بدي مساحة الحيطة ولا مساحة اللوح؟ طيب + +485 +00:38:41,150 --> 00:38:45,450 +هجيت أنا، بدي reflect على كل الجائرة، كل الجائرة + +486 +00:38:45,450 --> 00:38:49,790 +فيها مجال مغناطيسي. برافو، إذا بدي مساحة الدائرة + +487 +00:38:49,790 --> 00:38:54,050 +ولا مساحة الـ solenoid؟ بس الـ solenoid إذا مش نفسها + +488 +00:38:58,850 --> 00:39:02,630 +طبعًا، إذا بدي أضغط، π كابيتل R تربيع اسمها، مش + +489 +00:39:02,630 --> 00:39:06,190 +π S تربيع، هنا π S تربيع، هنا π كابيتل R + +490 +00:39:06,190 --> 00:39:12,270 +تربيع. ما لحقتش، لأنه برا فيش شيء، تمام، طلعناها، + +491 +00:39:12,270 --> 00:39:17,230 +هاي A out، طلعنا A in و A out، الآن بعد ما طلعته، + +492 +00:39:17,230 --> 00:39:22,860 +لسه أنا شاكك، لأنه شغل جديدة، بدي أتأكد. في عندي أنا + +493 +00:39:22,860 --> 00:39:27,620 +مرجعية إن B للـ solenoid أنا بعرفه جوا برا، صح ولا لأ؟ + +494 +00:39:27,620 --> 00:39:32,200 +قال: جيب B من علاقة B بيساوي dL cross الـ A، وشوف + +495 +00:39:32,200 --> 00:39:38,820 +إيش بطلع معك؟ فبيقول: هاي إن طلعت + +496 +00:39:38,820 --> 00:39:44,660 +بالضبط زي ما بدك، ميو نوت n في الـ I، ومتجهزت، تمام؟ + +497 +00:39:44,660 --> 00:39:48,840 +طب قالي طلع الحالة برا، والله طلعت zero. إذن إيش + +498 +00:39:48,840 --> 00:39:59,260 +اشتغلته؟ صحيح، أيه الصفاء؟ تمام يا مانات؟ احنا هالـ + +499 +00:39:59,260 --> 00:40:05,820 +gate من هالـ gate، وطلع غالبًا بخشش في الامتحان من + +500 +00:40:05,820 --> 00:40:10,480 +هالـ gate، وطلع، لأن هذا اللي رابط مع شبطة 6. أما الـ A + +501 +00:40:10,480 --> 00:40:14,240 +بدخل أحكي: ماهو 11؟ + +502 +00:40:19,060 --> 00:40:25,880 +أه، ماله بيجنن، طبعًا بيجنن، احنا عارفين إنه بيجنن، هو + +503 +00:40:25,880 --> 00:40:28,760 +الحمد لله إني بجيب أمثلة خاطر + +504 +00:40:31,180 --> 00:40:35,700 +لقيته في بداية الأسلوب؟ أنتم حظكم معه، أما هو + +505 +00:40:35,700 --> 00:40:40,380 +اللي بيجنن، مش جايبوا، هو نفسه ما جايبوا، لكن هيوا + +506 +00:40:40,380 --> 00:40:44,060 +عيونكم تفصيلًا، تمام؟ عيونكم بكل التفاصيل. أنا قلت لكم + +507 +00:40:44,060 --> 00:40:48,280 +يعني هذا مثال مشهور، شهرته جاية من تطبيقه العملي، إن + +508 +00:40:48,280 --> 00:40:52,940 +هذا عبارة عن نموذج إلكتروني، هذا الإلكترون ليش + +509 +00:40:52,940 --> 00:40:56,140 +دايمًا في بعض الأمثلة دايمًا مشهورة، زي لما يجيب ليه؟ + +510 +00:40:56,580 --> 00:40:58,940 +الـ Simple Harmonic Motion بيجيب لها الزنبرك، صح + +511 +00:40:58,940 --> 00:41:02,900 +ولا لأ؟ طب هل الزنبرك هجدي تطبيقاته؟ لأ، لكن هو + +512 +00:41:02,900 --> 00:41:06,940 +نموذج لحركة الـ atoms جوا المادة، هذا نموذج لحركة + +513 +00:41:06,940 --> 00:41:09,600 +الـ atoms، عشان كده كل ما يجيبوا Simple Harmonic + +514 +00:41:09,600 --> 00:41:12,500 +Motion، الـ motion بيقوم بالزنبرك، ولا البندول + +515 +00:41:12,500 --> 00:41:15,960 +البسيطة، مين البندول اللي بتاع ما أخذوه في التجارب؟ + +516 +00:41:16,050 --> 00:41:20,150 +وين؟ كان زمان، زمان، زمان في ساعة في صالون في بيوت، و + +517 +00:41:20,150 --> 00:41:23,690 +هالبندول رايح جاي...حتى هالبندول راح...إذا + +518 +00:41:23,690 --> 00:41:27,290 +البندول بطل، انتهى تطبيقاته، لكن برضه هو نموذج لحركة + +519 +00:41:27,290 --> 00:41:31,710 +مشهورة في المادة...الحركة التوافقية البسيطة...و + +520 +00:41:31,710 --> 00:41:34,990 +هذه نفس العملية...إيش هالصعوبة؟ ليش بتحطّ تينه؟ + +521 +00:41:34,990 --> 00:41:37,930 +ماذا؟ الكل بيقول لك صعب، صعب...في كل كتاب بيضطرب... + +522 +00:41:37,930 --> 00:41:41,170 +ليش بيضطربوا؟ لأن هذا...أنت بتقول...كل أصل + +523 +00:41:41,170 --> 00:41:45,590 +المغناطيسية Electron، إذا لازم تكون قادر تجيب الـ + +524 +00:41:45,590 --> 00:41:50,590 +Electron عشان تقول: آه، هاي أصل المغناطيسية عندك + +525 +00:41:50,590 --> 00:41:53,790 +Electron بيحمل شحنات، بيلفّ حواليه نفسه لـ Spin + +526 +00:41:53,790 --> 00:41:56,890 +وبالتالي بولد مجال مغناطيسي، وبنتعامل معه على هذا + +527 +00:41:56,890 --> 00:42:01,210 +الأساس. تمام. Multipole Expansion of the Vector + +528 +00:42:01,210 --> 00:42:06,430 +Potential. أنا أذكركم الآن بالكهربا عشان نعرف إيش + +529 +00:42:06,430 --> 00:42:11,790 +بنسوي. كان في هنا شحنة Q، وهنا شحنة سالب Q. هذه + +530 +00:42:11,790 --> 00:42:16,550 +المسافة D، وبدي أجيب شدة المجال، الجهد عند نقطة P + +531 +00:42:16,550 --> 00:42:26,250 +وهذه R أكبر كتير من D. فبروحي أجيب V بيساوي K P.R hat + +532 +00:42:26,250 --> 00:42:32,430 +على R تربيع. هيك زمان عملناها. إيش هذه P؟ هذه كانت + +533 +00:42:32,430 --> 00:42:36,370 +بتساوي Q في D، وسميتها الـ Electric Dipole Moment + +534 +00:42:37,070 --> 00:42:40,650 +اللي منها سميتها بقى...جبت الـ Polarization الـ + +535 +00:42:40,650 --> 00:42:43,270 +Polarization بيساوي small P على الـ volume، صح ولا + +536 +00:42:43,270 --> 00:42:49,670 +لأ؟ وقلت كالتالي: إن كل المواد باعتبرها عبارة عن + +537 +00:42:49,670 --> 00:42:54,230 +Dipoles جوا، Dipoles، كل Dipole بيولد مجال + +538 +00:42:54,230 --> 00:43:00,610 +كهربائي، إذا كل مادة فيها جوا مجال كهربائي. إذا هاجر + +539 +00:43:00,610 --> 00:43:04,610 +الـ dipoles كل واحد على خاطر سارح، بقول الـ net + +540 +00:43:04,610 --> 00:43:08,110 +electric field inside is zero لأنها موزعة عشوائيًا + +541 +00:43:08,110 --> 00:43:12,210 +cancel each other. كيف بدي أخليها مادة؟ قلت: خليها + +542 +00:43:12,210 --> 00:43:16,330 +polarized؟ كيف بخليها polarized؟ بأثر عليها بمجال + +543 +00:43:16,330 --> 00:43:19,830 +كهربائي. المجال الكهربائي إيش بيسوي في الـ dipoles؟ + +544 +00:43:19,830 --> 00:43:25,030 +بيعمل torque، بيخليهم يلفوا. سميناها ترتبت، كلمة ترتبت + +545 +00:43:25,030 --> 00:43:29,450 +بالعامية، يعني polarized. الـ polarization أنتج عندي + +546 +00:43:29,450 --> 00:43:33,330 +نوعين من الشحنات، سميتهم bound charges، σb و + +547 +00:43:33,330 --> 00:43:36,370 +ρb. وبالتالي، أنت لما تتعامل مع مادة polarized + +548 +00:43:36,370 --> 00:43:39,770 +بيقول لك وكأنها المادة فيها نوعين من الشحنات، و + +549 +00:43:39,770 --> 00:43:46,750 +أتعامل معها زي شبطر 2 وشبطر 3. نفس الشيء الآن، أنا هل + +550 +00:43:46,750 --> 00:43:51,850 +بقدر أعتبر مغناطيسيًا المادة متكونة من Dipoles؟ + +551 +00:43:51,850 --> 00:43:58,530 +بقول له: آه، الـ Dipole هل هو شحنة وشحنة وبينهم + +552 +00:43:58,530 --> 00:44:02,190 +مسافة؟ قال لي: لأ، هي إيش هو الـ Dipole؟ قال لي الـ + +553 +00:44:02,190 --> 00:44:07,010 +Dipole عبارة عن تيار بيمر في دائرة مغلقة، تيار + +554 +00:44:07,010 --> 00:44:11,410 +بيمر في دائرة مغلقة. هذه الدائرة ممكن تكون وهمية + +555 +00:44:11,410 --> 00:44:15,070 +يعني بمعنى آخر، إلكترون بيلف حول النواة، بقول له: هي + +556 +00:44:15,070 --> 00:44:19,350 +دائرته. وكأنه الإلكترون بيلف في دائرة، بيعمل دائرة + +557 +00:44:19,350 --> 00:44:22,810 +مغلقة، ولا لأ؟ هذا الـ Dipole. طيب، الإلكترون بيلف + +558 +00:44:22,810 --> 00:44:26,380 +حوالي نفسه، برضه عمل دائرة وهمية. إذا برضه في عندك + +559 +00:44:26,380 --> 00:44:31,160 +dipoles كمان...إذا بيقول إيه؟ هي دائرة نبدأ فيها + +560 +00:44:31,160 --> 00:44:35,600 +بصورة بسيطة، بيقول هي دي loop...loop عشوائية، تيار + +561 +00:44:35,600 --> 00:44:39,780 +...هذا تيار كهربائي، هل بيولد مجال مغناطيسي ولا + +562 +00:44:39,780 --> 00:44:43,880 +بيولدش؟ بيولد...بدنا نحسبه. قال إيه؟ ما أنت قلت لنا + +563 +00:44:43,880 --> 00:44:50,520 +الـ A تبعتها، ده هي تيار، يعني الـ dL لا في i، لا في j + +564 +00:44:50,520 --> 00:44:56,440 +ولا في عندك k. إذا دي إيه الـ...حلو، 1/R، 1 + +565 +00:44:56,440 --> 00:45:00,700 +على R. مش أنت خذتها 1/R اللي ما عملتكوا + +566 +00:45:00,700 --> 00:45:05,500 +معاها طويلة وقعدنا نجمع terms، قلنا 1/R من + +567 +00:45:05,500 --> 00:45:10,020 +chapter 3، بيساوي R شرطة على R أس n. هنا في R بيقن + +568 +00:45:10,020 --> 00:45:16,040 +عبر الـ cos θ. جالي يعود عنها، طلعت الـ A هيك. جالي + +569 +00:45:16,040 --> 00:45:21,620 +هادي زي هادي...وين راحت الـ...كتاب بتقنعها، يعني + +570 +00:45:21,620 --> 00:45:26,700 +بس هادي لديباول، هادي بصورة عامة. جالي شي...قلت له: + +571 +00:45:26,700 --> 00:45:30,740 +أنت بتقول لي لما n تساوي صفر بسميه مونوبول، n بتساوي + +572 +00:45:30,740 --> 00:45:35,040 +واحد ديباول، n بتساوي 2 كوادرابول، حلو. في الكهربية + +573 +00:45:35,040 --> 00:45:40,420 +فيه مونوبول، فيه إلكترون وفيه بروتون، صح؟ هل في + +574 +00:45:40,420 --> 00:45:44,820 +المغناطيسية في عندكم قطب شمالي لحالو؟ لأ، إذا + +575 +00:45:44,820 --> 00:45:47,260 +المفروض ده الـ monopole term، ده ما يطلع معايا zero + +576 +00:45:47,260 --> 00:45:52,480 +صح ولا لأ؟ طب نجرب، حط n بتساوي صفر للمونوبول، + +577 +00:45:52,480 --> 00:46:00,340 +هاي المونوبول، الـ monopole. يعني قديش n صفر؟ يلّا A + +578 +00:46:00,340 --> 00:46:09,620 +بيساوي μ naught I على 4π، 1/R تكامل + +579 +00:46:09,620 --> 00:46:20,670 +المغلق، 1 بصفر، بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 + +580 +00:46:20,670 --> 00:46:29,790 +بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، + +581 +00:46:29,790 --> 00:46:33,070 +1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، + +582 +00:46:33,070 --> 00:46:33,190 +1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، + +583 +00:46:33,190 --> 00:46:33,210 +1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، 1 بصفر، + +584 +00:46:33,210 --> 00:46:38,910 +1 بصفر، 1 بصفر، 1 بصفر، + +585 +00:46:38,910 --> 00:46:44,790 +1 بصفر. ذاكرين الـ...هذا vector بقى بيلف، يعني هي + +586 +00:46:44,790 --> 00:46:49,330 +مثلًا هي...هي سلك وهي بيمر هيك، بدي أتكامل الـ dL + +587 +00:46:49,330 --> 00:46:54,370 +تبعته. بقول له: هي المسافة من هنا لغاية...لأن هذا إيش هم + +588 +00:46:54,370 --> 00:46:58,870 +الـ dL اللي قدّام؟ هي الـ dL هي 1 وهي 1 وهي 1 + +589 +00:46:58,870 --> 00:47:03,910 +وهي 1. هذا هيك وهذا هيك، هذا بيلغي هذا. Sorry، هذا + +590 +00:47:03,910 --> 00:47:07,880 +بيلغي هذا وهذا بيجمع، بيجمع هيك، من البداية للنهاية. + +591 +00:47:07,880 --> 00:47:10,860 +طب لما تكون مغلق، بتطلع zero. إذا الـ monopole + +592 +00:47:10,860 --> 00:47:15,420 +دايمًا zero. الـ monopole دايمًا zero. طيب، هذا الـ + +593 +00:47:15,420 --> 00:47:18,220 +monopole. طب الـ dipole خليني أشوف الـ dipole + +594 +00:47:18,220 --> 00:47:24,640 +هذا الـ monopole for the dipole طلعت هيك. حطيت زي + +595 +00:47:24,640 --> 00:47:31,440 +ما توي عملت، n بتساوي 1. هي n بتساوي 1، هذه R + +596 +00:47:31,440 --> 00:47:39,040 +تربيع، هذه R شرطة، وهذه cos θ. صحيح ولا لأ؟ بواحد. هي الـ + +597 +00:47:39,040 --> 00:47:44,600 +cos θ، تمام؟ وهذه dL. طبعًا، لما أقول cos θ، R شرطة cos + +598 +00:47:44,600 --> 00:47:50,780 +θ يعني R شرطة ضد الـ R hat، صحيح ولا لأ؟ عشان cos θ + +599 +00:47:50,780 --> 00:47:59,850 +تمام، فطلعت هيك. هجيت هذه، سؤال في chapter واحد، جالي يثبت + +600 +00:47:59,850 --> 00:48:04,290 +سؤال في chapter واحد، هذه الصيغة بتساوي هذه الصيغة، وحطّه + +601 +00:48:04,290 --> 00:48:08,630 +في chapter واحد، عارف إنه يستخدمه في chapter خمسة. المهم، احنا + +602 +00:48:08,630 --> 00:48:12,750 +مش في chapter واحد هو بطل يدخل في امتحان، صح؟ طبعًا، هذا + +603 +00:48:12,750 --> 00:48:16,910 +من وين اجا؟ حاطط me tend to في السؤال، قال لك: اعوض في + +604 +00:48:16,910 --> 00:48:20 \ No newline at end of file diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/EnTUDeujhMI_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/EnTUDeujhMI_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..ff46370ef64350e99b24b09529430ef4b99f952e --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/EnTUDeujhMI_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4702, "start": 21.52, "end": 47.02, "text": "تمام و كيف نحن عندنا بعد ما أخدنا Ampere's law و شوفنا كيف نطبق على Ampere's law إذا كنتوا ذاكرين Ampere's law ينطبق على حالات أربعة ما اللي هو مش خامس ال infinite lines ال infinite planes الsteroids و طبقنا عليها الحالات 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830.12, "end": 830.68, "word": " بيزا", "probability": 0.9862060546875}, {"start": 830.68, "end": 831.22, "word": " هذه", "probability": 0.26123046875}, {"start": 831.22, "end": 831.54, "word": " 12", "probability": 0.206787109375}, {"start": 831.54, "end": 831.98, "word": " شكل", "probability": 0.5804443359375}, {"start": 831.98, "end": 832.24, "word": " وهذه", "probability": 0.799560546875}, {"start": 832.24, "end": 833.48, "word": " شكل", "probability": 0.927490234375}, {"start": 833.48, "end": 833.86, "word": " أنا", "probability": 0.72216796875}, {"start": 833.86, "end": 834.76, "word": " رخيصة", "probability": 0.90341796875}, {"start": 834.76, "end": 835.22, "word": " تظبطش", "probability": 0.715576171875}, {"start": 835.22, "end": 835.62, "word": " معاه", "probability": 0.937255859375}, {"start": 835.62, "end": 836.78, "word": " تمام", "probability": 0.949951171875}, {"start": 836.78, "end": 838.46, "word": " حلو", "probability": 0.966796875}, {"start": 838.46, "end": 839.22, "word": " طيب", "probability": 0.9542643229166666}, {"start": 839.22, "end": 839.62, "word": " بدنا", "probability": 0.888671875}, {"start": 839.62, "end": 840.5, "word": " نجيب", "probability": 0.9979248046875}, {"start": 840.5, "end": 841.42, "word": " المجان", "probability": 0.8312174479166666}, {"start": 841.42, "end": 842.52, "word": " المغناطيسي", "probability": 0.9176897321428571}], "temperature": 1.0}, {"id": 32, "seek": 87286, "start": 843.66, "end": 872.86, "text": "في الملف طبعا الملف هي السلك الأحمر هو السلك فانتوا عليها الأحمر هو السلك التيار بيمر هيك هيه بيمر هنا معناته هيه يستهم وكأنه هذا هيك داخل وهي من هنا خارجي مظبوط؟ هيك السلك خلينا نشوف توفي السيلونويت لما عملت هيك قولت هنا P قد ياش؟ Zero و هنا؟ Zero و هنا فيه P لما هذه لفته هذه المنطقة هي هذه", "tokens": [41185, 9673, 46538, 23032, 3555, 3615, 995, 9673, 46538, 39896, 21136, 23275, 16247, 5016, 29973, 31439, 21136, 23275, 6156, 7649, 2655, 14407, 25894, 11296, 16247, 5016, 29973, 31439, 21136, 23275, 16712, 1829, 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طبعا", "probability": 0.73883056640625}, {"start": 845.16, "end": 845.72, "word": " الملف", "probability": 0.895263671875}, {"start": 845.72, "end": 845.98, "word": " هي", "probability": 0.488037109375}, {"start": 845.98, "end": 846.42, "word": " السلك", "probability": 0.922607421875}, {"start": 846.42, "end": 847.08, "word": " الأحمر", "probability": 0.9166666666666666}, {"start": 847.08, "end": 847.26, "word": " هو", "probability": 0.970703125}, {"start": 847.26, "end": 847.66, "word": " السلك", "probability": 0.983154296875}, {"start": 847.66, "end": 848.28, "word": " فانتوا", "probability": 0.513916015625}, {"start": 848.28, "end": 848.68, "word": " عليها", "probability": 0.4754638671875}, {"start": 848.68, "end": 849.7, "word": " الأحمر", "probability": 0.7845052083333334}, {"start": 849.7, "end": 849.92, "word": " هو", "probability": 0.97216796875}, {"start": 849.92, "end": 850.3, "word": " السلك", "probability": 0.98681640625}, {"start": 850.3, "end": 850.84, "word": " التيار", "probability": 0.73876953125}, {"start": 850.84, "end": 852.02, "word": " بيمر", "probability": 0.6632486979166666}, {"start": 852.02, "end": 852.3, "word": " هيك", "probability": 0.748779296875}, {"start": 852.3, "end": 852.62, "word": " هيه", "probability": 0.4390869140625}, {"start": 852.62, "end": 853.36, "word": " بيمر", "probability": 0.8020833333333334}, {"start": 853.36, "end": 853.6, "word": " هنا", "probability": 0.99169921875}, {"start": 853.6, "end": 854.32, "word": " معناته", "probability": 0.8868815104166666}, {"start": 854.32, "end": 854.98, "word": " هيه", "probability": 0.51824951171875}, {"start": 854.98, "end": 855.3, "word": " يستهم", "probability": 0.5984700520833334}, {"start": 855.3, "end": 856.02, "word": " وكأنه", "probability": 0.8453369140625}, {"start": 856.02, "end": 856.24, "word": " هذا", "probability": 0.52490234375}, {"start": 856.24, "end": 856.48, "word": " هيك", "probability": 0.7822265625}, {"start": 856.48, "end": 856.96, "word": " داخل", 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0.898193359375}, {"start": 864.94, "end": 865.36, "word": " عملت", "probability": 0.9788411458333334}, {"start": 865.36, "end": 866.16, "word": " هيك", "probability": 0.97802734375}, {"start": 866.16, "end": 866.76, "word": " قولت", "probability": 0.8131510416666666}, {"start": 866.76, "end": 866.96, "word": " هنا", "probability": 0.91650390625}, {"start": 866.96, "end": 867.1, "word": " P", "probability": 0.31201171875}, {"start": 867.1, "end": 867.32, "word": " قد", "probability": 0.703369140625}, {"start": 867.32, "end": 868.02, "word": " ياش؟", "probability": 0.6124674479166666}, {"start": 868.02, "end": 868.28, "word": " Zero", "probability": 0.6708984375}, {"start": 868.28, "end": 868.44, "word": " و", "probability": 0.50390625}, {"start": 868.44, "end": 869.0, "word": " هنا؟", "probability": 0.689697265625}, {"start": 869.0, "end": 869.58, "word": " Zero", "probability": 0.9462890625}, {"start": 869.58, "end": 869.68, "word": " و", "probability": 0.81201171875}, {"start": 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الدويرة شايفينها ال loop هذه لما نقطع جديش بخترقها طيار مساحتها إذا بيجي zero صح ولا لأ إذا بيه zero طيب شوف ال loop هذه بخترقها طيار", "tokens": [2407, 29538, 29739, 1863, 9566, 28671, 39896, 29538, 5296, 15042, 5551, 7435, 7578, 5551, 46538, 23758, 39896, 4117, 4032, 5551, 46538, 9122, 3615, 4117, 3660, 46811, 10943, 4724, 16254, 5551, 8592, 38688, 8032, 1211, 9673, 7435, 6027, 9673, 8315, 9566, 1829, 3794, 1829, 34105, 4724, 9566, 1211, 3615, 4018, 49429, 20193, 16490, 3215, 6367, 29538, 2423, 6367, 32748, 2407, 48923, 13412, 995, 33911, 9957, 11296, 2423, 6367, 29538, 5296, 15042, 8717, 47432, 3615, 10874, 16254, 8592, 4724, 46456, 2288, 4587, 11296, 23032, 1829, 9640, 47524, 39319, 2655, 11296, 11933, 15730, 4724, 1829, 7435, 1829, 4018, 20328, 5016, 49429, 5296, 10721, 11933, 15730, 4724, 1829, 3224, 4018, 23032, 1829, 3555, 13412, 38688, 2423, 6367, 29538, 4724, 46456, 2288, 4587, 11296, 23032, 1829, 9640], "avg_logprob": -0.2832825188714314, "compression_ratio": 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الأشكال، فكان + +6 +00:00:47,810 --> 00:00:52,890 +لابد أن نبحث عن طرق أخرى للتعامل معها بحيث + +7 +00:00:52,890 --> 00:00:56,950 +أنّه في النهاية يُجيب عن شدة المجال الكهربائي، وهم قاعدين + +8 +00:00:56,950 --> 00:01:00,650 +بيشتغلوا ويخبطوا في المعادلات الرياضية التي + +9 +00:01:00,650 --> 00:01:03,810 +عندهم، عندهم الفكرة أن الناس... الناس هي + +10 +00:01:03,810 --> 00:01:08,350 +المجال كهربية كلها، خلينا نجيب كمية أخرى غير المجال، و + +11 +00:01:08,350 --> 00:01:12,550 +بعدين نجيب المجال. هذه الكمية هي كمية رياضية + +12 +00:01:12,550 --> 00:01:16,170 +في النهاية مجالك بيقول لك دي اللي... الـ care + +13 +00:01:16,170 --> 00:01:19,710 +تبع إيه بتساوي زي ما هو، بيحاولوا ويقولوا + +14 +00:01:19,710 --> 00:01:24,390 +جاي وحلو، طيب لما بحثوا في الرياضيات وجدوا مش ديلي + +15 +00:01:24,780 --> 00:01:29,740 +قرص الدل بيساوي صفر، صح ولا لا؟ يا عم، إذا هادي إيه + +16 +00:01:29,740 --> 00:01:33,720 +الذي يُغلبك، حطها بدلاً من الدل؟ تكون gradient لشكل + +17 +00:01:33,720 --> 00:01:38,740 +معيّن؟ إذا بدل إيه هادي؟ لو كان حاطط الدل حاجة + +18 +00:01:38,740 --> 00:01:42,600 +معينة، function، الـ gradient لـ function طبعاً هذا + +19 +00:01:42,600 --> 00:01:46,860 +function، كل function، function رياضي، حطّ دلّ قرص + +20 +00:01:46,860 --> 00:01:51,190 +الـ del طبعاً، إذا رياضية مافيش عندك مشكلة، تمام؟ + +21 +00:01:51,190 --> 00:01:57,410 +فبيقولوا we can write that E بيساوي بالـ function + +22 +00:01:57,410 --> 00:02:01,870 +scalar function، والساعة التي نضعها للتأكد من + +23 +00:02:01,870 --> 00:02:04,670 +جميع القوانين الفيزيائية بالعكس، أما في المجال + +24 +00:02:04,670 --> 00:02:07,830 +الرياضي قالوا خلينا نحط D للـ F ولأ فـ D للـ F + +25 +00:02:07,830 --> 00:02:13,670 +تغيّرت وصارت لها مفهوم، وصارت كمية فيزيائية، قالوا + +26 +00:02:13,670 --> 00:02:20,990 +هذه الـ V التي هي function، لو جبت V تجيب E، صح ولا + +27 +00:02:20,990 --> 00:02:24,090 +لا؟ لو جبت V تقدروا تجيبوا E من المعادلة هذه، ولا + +28 +00:02:24,090 --> 00:02:28,930 +لا؟ وكيف تقدروا تجيبوها؟ بتفاضل، أسلوب من التفاضل؟ + +29 +00:02:28,930 --> 00:02:32,210 +مافيه أسلوب من التفاضل، وليه؟ قالوا إذا خلينا نركز + +30 +00:02:32,210 --> 00:02:39,190 +على D، شو بيشتغل D؟ تمام؟ V تتميّز عن E، أنّه E is a + +31 +00:02:39,190 --> 00:02:44,430 +vector، و V is a scalar، وكل منهما أسهل التعامل + +32 +00:02:44,430 --> 00:02:48,080 +معه، التعامل مع الـ scalars أسهل، بتاعكم ميعمل + +33 +00:02:48,080 --> 00:02:52,500 +ماتركّز؟ فخلينا على V كل شغلنا من اليوم + +34 +00:02:52,500 --> 00:02:56,600 +نركز عليه هو V، جبت V ولو واحد قال اودي فيه بقول + +35 +00:02:56,600 --> 00:03:04,600 +أودي، حلت المشكلة، فاضل بفرض الـ gradient وناشيء، تمام؟ + +36 +00:03:04,600 --> 00:03:10,060 +V is a scalar function، في النهاية عرفوه أنه الجهد + +37 +00:03:10,060 --> 00:03:15,330 +الكهربائي، هو الجهد الكهربائي، وصنعوا المجال + +38 +00:03:15,330 --> 00:03:20,310 +الكهربائي مقارنة بالجهد الكهربائي ككمية + +39 +00:03:20,310 --> 00:03:25,630 +فيزيائية، صار أشهر من المجال، مع أنه في الأول علمياً + +40 +00:03:25,630 --> 00:03:30,190 +لم يكن مهماً عند المجال الكهربائي، لأنه هو الذي يُعطيك مفهوم + +41 +00:03:30,190 --> 00:03:35,210 +أن هناك شحنة، وهناك قوة، وكل هذه الأشياء، لكن التعامل مع + +42 +00:03:35,210 --> 00:03:40,390 +هكذا كمية، وهي المجال الكهربائي، تعامل رياضياً وعلمياً + +43 +00:03:40,390 --> 00:03:44,790 +شوية صعب، كيف نجيبها؟ فلما حطّوا هذه المعادلة، قالوا هذه + +44 +00:03:44,790 --> 00:03:48,330 +فيها شيء حلو، هذه scalar function ممكن نتعامل معها + +45 +00:03:48,330 --> 00:03:53,750 +جمعها جمع جبري، تكاملها أسهل، لأن هذه هي التي + +46 +00:03:53,750 --> 00:03:57,150 +بتتغلب عليها، وأنت بتقول لأ، وبالتالي طيب إيه فينا + +47 +00:03:57,150 --> 00:04:01,410 +ندّيها؟ قالوا أعطوها اسم، بيسمّوها بشيء معيّن + +48 +00:04:01,410 --> 00:04:06,380 +قالوا سنسمّيها potential، هي الجهد الكهربائي، تناقش وكنا + +49 +00:04:06,380 --> 00:04:11,240 +نعرف أن الجهد الكهربائي أول ما عرفناه قلنا + +50 +00:04:11,240 --> 00:04:17,580 +إيه وحدته؟ وحدته الـ volt، بالـ كولوم مظبوط ولا لا؟ + +51 +00:04:17,580 --> 00:04:22,140 +الـ volt بالكولوم، كده فبالجهد ده إيش كل كوم؟ كل + +52 +00:04:22,140 --> 00:04:27,990 +كولوم. الـ V عبارة عن جول، إذا حطيت متر، الناس التي + +53 +00:04:27,990 --> 00:04:32,230 +تُقبل كلها، هاي وحدتها، لما لقوا بعد كده أن جول + +54 +00:04:32,230 --> 00:04:37,070 +صار مشهوراً، والكل يستخدمه، وصار هو الـ common + +55 +00:04:37,070 --> 00:04:42,030 +أكثر من المجال، اعطوه وحدة، أعطوه إيش الوحدة؟ + +56 +00:04:42,030 --> 00:04:46,490 +أعطوه الـ volt، ليه؟ قالوا هو سهل، وهو الـ common، و + +57 +00:04:46,490 --> 00:04:51,250 +هيجيء الفنجاني، فنّ الكهرباء لو كله مجال كهربائي يبقى عطش + +58 +00:04:52,450 --> 00:04:55,890 +فمافيه، قولوا لهم، قلت اه، فعشان كنا 120 فولت، + +59 +00:04:55,890 --> 00:04:59,450 +كنا متعلمين، بلعب فيهم ذاتياً ولا حاجة، صح ولا؟ + +60 +00:04:59,450 --> 00:05:04,310 +فصارت مشهورة الـ volt، لأن التعامل معها سهل، فقالوا + +61 +00:05:04,310 --> 00:05:07,130 +خذوها الـ volt، فدخلوا المجال يتقدّم الـ volt على + +62 +00:05:07,130 --> 00:05:12,880 +الكلهم، مضبوط، إحنا خسفناه، وخلينا مين؟ سدّ عنه، مين + +63 +00:05:12,880 --> 00:05:16,940 +أخذ هذه المرة؟ وحدته، خَبّينا الحاجة فيه، فما جبنا ما هي + +64 +00:05:16,940 --> 00:05:22,860 +وحدته، صارت E وحدتها volt/متر، volt/ + +65 +00:05:22,860 --> 00:05:26,320 +متر، وهي أشهر في الأوراق، وبالتالي، شوية شوية + +66 +00:05:26,320 --> 00:05:29,420 +المجال، يقول لك fun and show، fun and show، في معنى + +67 +00:05:29,420 --> 00:05:32,960 +آخر، يعني show، في الآخر الدنيا، دي دي دي دي دي دي + +68 +00:05:32,960 --> 00:05:33,580 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +69 +00:05:33,580 --> 00:05:34,640 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +70 +00:05:34,640 --> 00:05:37,720 +دي دي دي دي دي دي دي دي دي دي + +71 +00:05:37,720 --> 00:05:44,300 +دي دي،صار مشهوراً، واحنا كلّكم تعرفوا لو أنتم + +72 +00:05:44,300 --> 00:05:47,460 +حكيتم مع أي واحد في الحارة أو في الضيعة على volt + +73 +00:05:47,460 --> 00:05:52,240 +مفهوم، مفهوم، على الأقل هتلاقوا احنا قاعدين في الكهرباء التي + +74 +00:05:52,240 --> 00:05:56,200 +عندنا 12 فولت و120 فولت و DC و AC، صارت + +75 +00:05:56,200 --> 00:05:59,400 +التي ممكن، لو اختيارات عاجزة بتعمل حاجات شغّالة + +76 +00:05:59,400 --> 00:06:02,160 +في الضيعة، لكن بمجال الكهرباء الذي فتحها، وبعدها + +77 +00:06:02,160 --> 00:06:08,540 +بفتح كلهم الأمور صعبة كده، طبعاً، خلينا نشوف، يا + +78 +00:06:08,540 --> 00:06:12,860 +عزيزي، هذا البناء نتعامل مع الـ D، نقول لها، احنا + +79 +00:06:12,860 --> 00:06:18,880 +نعرف التكامل A، E ضد الـ D، الحب هيكمل إيه الـ D، + +80 +00:06:18,880 --> 00:06:22,690 +ماذا يُجيبها دي؟ إيش مالي إيه الحب؟ يعني هذه الآلة + +81 +00:06:22,690 --> 00:06:25,930 +صارت شغلة مشهورة، معروفة، أيه بتساوي ساوي الـ D + +82 +00:06:25,930 --> 00:06:30,130 +والـ D؟ نذكرها من D إلى X بـ E، وبالتالي كيف أجيب E من + +83 +00:06:30,130 --> 00:06:35,130 +E؟ بقول أفضّل الـ D يُجيب E، طيب، جددت أدواتنا من E ضدّ + +84 +00:06:35,130 --> 00:06:40,250 +الـ DL بتساوي D لـ V ضد الـ DL، طبعاً زمان، أنا موجود + +85 +00:06:40,250 --> 00:06:43,650 +زمان نعرف الطّواقم كتير، لما أبقى هنا مجاناً أديناكُم + +86 +00:06:43,650 --> 00:06:46,430 +Fundamental Theorem في Calculus و Fundamental + +87 +00:06:46,430 --> 00:06:52,950 +Theorem في Gradient، وقلنا لكم التكامل DF على DX، DX من + +88 +00:06:52,950 --> 00:06:59,110 +A إلى B بيساوي F of B ناقص... ذاكرينه؟ تمام، طيب قولي + +89 +00:06:59,110 --> 00:07:01,730 +هذي عليها، بس بقى الذي يقول لي الـ D هي الـ D من + +90 +00:07:01,730 --> 00:07:06,970 +التانية، مش بالصيغة V of B ناقص V of A، المظبوط هو + +91 +00:07:06,970 --> 00:07:13,070 +يعني هيجرّ الصيغة سالب V of ... of B ناقص V of A، + +92 +00:07:13,070 --> 00:07:18,330 +مظبوط، يقول لك لا، الـ fundamental theory of calculus + +93 +00:07:19,370 --> 00:07:22,590 +using the fundamental theorem of Euclidean، اللي هي + +94 +00:07:22,590 --> 00:07:29,790 +التشبيه بتاعة الـ calculus، صار عندي تمام، high E dot + +95 +00:07:29,790 --> 00:07:34,890 +DL، الآن comparing equation أنا الـ equation أنا إن + +96 +00:07:34,890 --> 00:07:36,870 +شاء الله أقول أن أنا صح، اتبعت من هنا equation + +97 +00:07:36,870 --> 00:07:41,050 +تماماً التي أخذتها أنا وياكم آه، اتبعتوا، يعني عشان + +98 +00:07:41,050 --> 00:07:42,870 +الذي أنا ما وجدته اتبعت + +99 +00:07:55,870 --> 00:08:00,810 +لما جبنا الـ care طلعنا + +100 +00:08:00,810 --> 00:08:09,510 +هذه المعادلة ∫ E.DL، والآن أنا أيضاً أجيب ∫ E.DL + +101 +00:08:13,170 --> 00:08:17,830 +آه ده أعطاكم بيه، تمام، هذا أذكره، أشيله منكم، إذا + +102 +00:08:17,830 --> 00:08:23,110 +هذه نقارنها بالمعادلة 8، المعادلة 8 إيش كانت تقول؟ كانت + +103 +00:08:23,110 --> 00:08:28,470 +تقول KQ على R، مقصودة على الـ R به ولا + +104 +00:08:28,470 --> 00:08:33,650 +لا؟ من الجميع، المعادلة 8 مش هي العشرة، العشرة اليسرى مش + +105 +00:08:33,650 --> 00:08:37,200 +نفس التكامل، طيب، عشان جاليه ميّاشي مفتوح، يالا قولولي + +106 +00:08:37,200 --> 00:08:42,220 +واحد على أربعة باي أبسلون نوت من V final ناقص V initial؟ + +107 +00:08:42,220 --> 00:08:46,280 +واحد على... + +108 +00:08:46,280 --> 00:08:54,400 +مظبوط، إيه؟ حلو، هادي ناقص، بقدر أقول هادي بتساوي V A + +109 +00:08:54,400 --> 00:08:59,940 +ناقص V B، طبعاً، تطلعوا عليها، يعني بقدر أقول أن + +110 +00:08:59,940 --> 00:09:09,550 +هادي هي هادي، هذه هي هذه هي هذه، إذا بقدر أقول V + +111 +00:09:09,550 --> 00:09:16,330 +لكل نقطة بتساوي KQ على أربعة باي أبسلون نوت واحد على R، ولا + +112 +00:09:16,330 --> 00:09:21,970 +لا؟ إذا من مقارنة المعادلتين بقدر أقول أنا عاملها + +113 +00:09:21,970 --> 00:09:28,750 +طيب ما؟ آه، عاملها عاملها، هاي مقارنة موجودة، إذا من + +114 +00:09:28,750 --> 00:09:37,270 +هنا بقدر أقول أن V بتساوي KQ على R، KQ على R، وهذا + +115 +00:09:37,270 --> 00:09:40,790 +القانون الذي أخذناه في static، KQ على R، بس هنا + +116 +00:09:40,790 --> 00:09:44,610 +أثر كثير، ليه أثر كثير؟ بيقول لك إنت بقينا في هذه + +117 +00:09:44,610 --> 00:09:47,150 +التحدي الذي هو، ممكن تجمعنا في حالة عندك شحنتين + +118 +00:09:47,150 --> 00:09:49,870 +بتجمعهم، عندك شحنتين بتجمعهم، وكده يجمع يجمع + +119 +00:09:49,870 --> 00:09:52,470 +يجمع يجمع يجمع يجمع يجمع يجمع يجمع يجمع + +120 +00:09:52,470 --> 00:09:52,770 +يجمع يجمع يجمع يجمع يجمع يجمع يجمع يجمع + +121 +00:09:52,770 --> 00:09:57,530 +يجمع يجمع يجمع يجمع يجمع + +122 +00:09:57,530 --> 00:10:00,600 +يجمع، بدي أعمل الـ integration، الشحنة هنا بتكون في الـ + +123 +00:10:00,600 --> 00:10:03,380 +origin، أن الـ A شرط بتساوي الـ صفر، لو بدي أعمل الـ + +124 +00:10:03,380 --> 00:10:06,860 +integration من الـ infinity، بيصير R script، مش مهم، is the electric + +125 +00:10:06,860 --> 00:10:09,520 +potential due to a point charge at the origin + +126 +00:10:09,520 --> 00:10:20,080 +أسويها برضه، لو أجيت أنا أعمل إيه؟ نجعلها من E إلى B، + +127 +00:10:20,080 --> 00:10:26,160 +طلعت أن دي هذه، لو بدي أخلي هذه ما لها نهاية + +128 +00:10:26,160 --> 00:10:33,410 +هذه هتكون صفر، لأن هذه ليست لها نهاية، صح؟ إذا الجهد + +129 +00:10:33,410 --> 00:10:39,150 +عند نقطة، عند نقطة، عبارة عن سالب من ما لا نهاية إلى R، E + +130 +00:10:39,150 --> 00:10:43,910 +.DL على اعتبار أن V عند المالا نهاية بتساوي صفر + +131 +00:10:43,910 --> 00:10:52,070 +تمام، إذا الآن في عندي، نخلص إلى التالي، أن أنت إيه + +132 +00:10:52,070 --> 00:11:01,280 +مهما تعبت، طلعت لك إياه بصورة function، الـ thing V، وسّمّوه + +133 +00:11:01,280 --> 00:11:04,380 +Electric Potential في بعض الكتب، وحطّوا capital V + +134 +00:11:04,380 --> 00:11:09,900 +هذه الـ V، لكن خلينا نكتب نموذج الـ V، تمام؟ هذه الـ V + +135 +00:11:09,900 --> 00:11:17,390 +إما بتساوي KQ على أربعة باي Epsilon naught، وحدة على R، أو + +136 +00:11:17,390 --> 00:11:22,810 +خليني أسمّيها R script in general، أو V تساوي سالب + +137 +00:11:22,810 --> 00:11:31,970 +التكامل من ما لا نهاية إلى نقطة، ∫E.DL، طبعاً + +138 +00:11:31,970 --> 00:11:40,060 +النتيجة، إذا جبت هذا تجيب هذا، صح؟ تمام، وهذا طريقة برضه + +139 +00:11:40,060 --> 00:11:44,340 +ممكن أجيب V من E، طبعاً واضح أنه تشوفوا هذا وهذا مش + +140 +00:11:44,340 --> 00:11:50,040 +عكس بعض، E بتفاضل V، الـ V بتكامل E، واحد بيجيب + +141 +00:11:50,040 --> 00:11:52,980 +التاني، شغلة مباشرة مافيش فيها مشكلة + +142 +00:12:06,060 --> 00:12:12,560 +عشان أنا أعمل شوية دلوقت، كتب الشرائح افتح معاه + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/HUked5NjVew_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/HUked5NjVew_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..c085da34e0e9b056c471040178675792b8fda211 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/HUked5NjVew_raw.srt @@ -0,0 +1,568 @@ +1 +00:00:23,840 --> 00:00:28,620 +خلصنا طريقتين لحساب شدة المجال الكعبائي و هي قانون + +2 +00:00:28,620 --> 00:00:32,680 +كلوم و قانون Gauss و في النهاية كل واحد له + +3 +00:00:32,680 --> 00:00:40,390 +إيجابيته و سلبيتهسلبيات قانون كلوم هي التعقيد + +4 +00:00:40,390 --> 00:00:44,510 +الرياضي اللي ممكن يوجهنا في التعامل معاه، سلبيات + +5 +00:00:44,510 --> 00:00:47,810 +قانون جاوس اللي لا ينطبق على جميع الأشكال، فكان + +6 +00:00:47,810 --> 00:00:52,890 +لابد ان واحد ده يدور ايش طرق أخرى لتعامل معها بحيث + +7 +00:00:52,890 --> 00:00:56,950 +انه في الآخر بيجيب شدة المجال الكهربائيو هم قاعدين + +8 +00:00:56,950 --> 00:01:00,650 +بيشتغلوا و بيخبطوا في المعادلات الرياضية اللي + +9 +00:01:00,650 --> 00:01:03,810 +عندهم في الوقت عندهم الفكرة إن الناس .. الناس هي + +10 +00:01:03,810 --> 00:01:08,350 +المجال كغباية كلها خلنا نجيبنا كمية غيرها المجال و + +11 +00:01:08,350 --> 00:01:12,550 +بعدين بنجيب المجال هذه الكمية هي الكمية الرياضية + +12 +00:01:12,550 --> 00:01:16,170 +في جاية مجالك بيقولين أنت بيعرف دي اللي .. ال care + +13 +00:01:16,170 --> 00:01:19,710 +تبع إيه بتساوي زي الواحد بتناعنا و إياكم فأجلطلوا + +14 +00:01:19,710 --> 00:01:24,390 +جاي و حلو طيب لما فتشوا في الرياضيات جارفر مش ديلي + +15 +00:01:24,780 --> 00:01:29,740 +قرص الدل بيساوي 0 صح ولا ده؟ يا عم إذا هادي إيه + +16 +00:01:29,740 --> 00:01:33,720 +اللي مغلباك تحطها بدلا من الدل؟ تكون gradient لشكل + +17 +00:01:33,720 --> 00:01:38,740 +معينة؟ إذا بدل إيه هادي؟ لو كان حاطية الدل حاجة + +18 +00:01:38,740 --> 00:01:42,600 +معينة، function، ال gradient لfunction طبعا هذا + +19 +00:01:42,600 --> 00:01:46,860 +function كلا function، function رياضي، حط دل قرص + +20 +00:01:46,860 --> 00:01:51,190 +الدل طبعا، إذا رياضية مافيش عندك مشكلةتمام؟ + +21 +00:01:51,190 --> 00:01:57,410 +فبيقولوا we can write that E بيساوي بال function + +22 +00:01:57,410 --> 00:02:01,870 +scalar function و الساعة اللي بنحطها عشان نتأكد من + +23 +00:02:01,870 --> 00:02:04,670 +جميع القوانين الفيزيائية بالعكس أما في المجال + +24 +00:02:04,670 --> 00:02:07,830 +الرياضية قالوا خلينا نحط D لل F و لأ فD لل F + +25 +00:02:07,830 --> 00:02:13,670 +اتغيرت و صارت لها مفهوم و صارت كمية فيزيائية قالوا + +26 +00:02:13,670 --> 00:02:20,990 +هذه ال V اللي هي function لو جيتها V لتجيب Eصح ولا + +27 +00:02:20,990 --> 00:02:24,090 +لأ؟ لو جيبت V تقدروا تجيبوا E من المعادلة هذه ولا + +28 +00:02:24,090 --> 00:02:28,930 +لأ؟ وكيف تقدروا تجيبوها؟ اتفاضة فى أسل من التفاضة؟ + +29 +00:02:28,930 --> 00:02:32,210 +مافيش أسل من التفاضة، وليش؟ قالوا إذا خلّينا نركّز + +30 +00:02:32,210 --> 00:02:39,190 +على D، شو بيشتغل D؟ تمام؟ V تتميز عن E إنه E is a + +31 +00:02:39,190 --> 00:02:44,430 +vector و V is a scalar وكل بنعة من أسهل التعامل + +32 +00:02:44,430 --> 00:02:48,080 +معهمش اتعامل مع الـ scalars أسهل بتاعكم ميعمل + +33 +00:02:48,080 --> 00:02:52,500 +مبيتورس؟ فانت خلّينا على V كل شغل نحالي من اليوم + +34 +00:02:52,500 --> 00:02:56,600 +قرر نصيره هو V جيت V و لو واحد قول اودي فيه بقول + +35 +00:02:56,600 --> 00:03:04,600 +اودي حلت المشكلة فاضي بفرض ال graduate وناشي تمام؟ + +36 +00:03:04,600 --> 00:03:10,060 +V is a scalar function في الآخر عرفوه ان هو الجهد + +37 +00:03:10,060 --> 00:03:15,330 +الكهربائي هو الجهد الكهربائي وصانعهالمجال + +38 +00:03:15,330 --> 00:03:20,310 +الكهربائي مقموس مقارنة من جهد الكهربائي ككمية + +39 +00:03:20,310 --> 00:03:25,630 +فيزيائية صار أشهر من المجال مع أنه في الأول علميا + +40 +00:03:25,630 --> 00:03:30,190 +لمهمة عند المجال الكهربائي لأن هو اللي بيديك مفهوم + +41 +00:03:30,190 --> 00:03:35,210 +أنه في شحنة وفي قوة وكل هذه الشغلات لكن التعامل مع + +42 +00:03:35,210 --> 00:03:40,390 +هكذا كمية وهي المجال الكهربائيتعامل رياضيا وعلميا + +43 +00:03:40,390 --> 00:03:44,790 +شويه صعب كيف نجيبه فلما حطوا هذه معادة قالوا هذه + +44 +00:03:44,790 --> 00:03:48,330 +في حلوة هذي scalar function ممكن نتعامل معاها + +45 +00:03:48,330 --> 00:03:53,750 +جمعها جمع جبري تكامل تبعها أسهل لإن دي حالي اللي + +46 +00:03:53,750 --> 00:03:57,150 +هو بتتغلب حالي وانت بتقول لأ وبالتالي طب إيه فينا + +47 +00:03:57,150 --> 00:04:01,410 +نديها؟ قالوا أعطوها مسمة بيقاموا بشراكة معينة + +48 +00:04:01,410 --> 00:04:06,380 +قالوا هتسموها yogurtهى الجوجل الكهربائى تنافى وكنا + +49 +00:04:06,380 --> 00:04:11,240 +بنعرف ان الجوجل الكهربائى اول لما احنا عرفنا قولنا + +50 +00:04:11,240 --> 00:04:17,580 +ايه تجابة وحديثها ال يوتيوب بالكلوم مظبوط ولا لأ + +51 +00:04:17,580 --> 00:04:22,140 +ال يوتيوب بالكلوم كده فبالجوجل ده ايش كل كوم؟ كل + +52 +00:04:22,140 --> 00:04:27,990 +بيخلق كوم ال V عبارة عن ا اذا حط مترالناس اللي + +53 +00:04:27,990 --> 00:04:32,230 +ممكن تقبل كلهم هاي وحدتها لما لاقوا بعد كده ان جول + +54 +00:04:32,230 --> 00:04:37,070 +صار مشهور وصار الكل يستسفلوا وصار هو ال common + +55 +00:04:37,070 --> 00:04:42,030 +اكتر من المجال جاله واطيه واحدة اعطوه ايش الفون + +56 +00:04:42,030 --> 00:04:46,490 +اعطوه الفون ليه؟ قالوا هو هي سهل و هو ال common و + +57 +00:04:46,490 --> 00:04:51,250 +هجت الفنجين فن الكهربا لو كله مجال كهربا يبقى عطش + +58 +00:04:52,450 --> 00:04:55,890 +فمافيش، قولتولهم، قولت أه، فعشان كنتوا 120 فور، + +59 +00:04:55,890 --> 00:04:59,450 +كنتوا متعالجين، بلعب فيهم ذاتين ولا حاجة، صح ولا؟ + +60 +00:04:59,450 --> 00:05:04,310 +فصارت مشهورة اليهود، لأنه التعامل معها سهل، فقالت + +61 +00:05:04,310 --> 00:05:07,130 +أخدوها الفور، فدخلوا المجال بتقدموا النيتر على + +62 +00:05:07,130 --> 00:05:12,880 +كلهم، مضبوط، احنا خسفناه، وخلينا مين؟سود عنه، مين + +63 +00:05:12,880 --> 00:05:16,940 +أخسره المرة؟ وحدته، خبية الحاجة فيه، فما جيب ما هي + +64 +00:05:16,940 --> 00:05:22,860 +نتر عقله، صارت E وحدتها volt على متر، volt على + +65 +00:05:22,860 --> 00:05:26,320 +متر، و هي أشهر في الأوراق، وبالتالي، شوية شوية + +66 +00:05:26,320 --> 00:05:29,420 +المجال، يقولك fun and show، fun and show، في معنى + +67 +00:05:29,420 --> 00:05:32,960 +آخر هاني شو، في الآخر الدنيان، دي دي دي دي دي دي + +68 +00:05:32,960 --> 00:05:33,580 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +69 +00:05:33,580 --> 00:05:34,640 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +70 +00:05:34,640 --> 00:05:37,720 +دي دي دي دي دي دي دي دي دي دي + +71 +00:05:37,720 --> 00:05:44,300 +دي دي دصار مشهور و احنا كلكم بتعرفوا لو انتوا + +72 +00:05:44,300 --> 00:05:47,460 +حكيتوا مع اي واحد في الحارة او في الضارة على goal + +73 +00:05:47,460 --> 00:05:52,240 +مفهن مفهن على الأقل هنجيت احنا بقادمة الكهربا اللي + +74 +00:05:52,240 --> 00:05:56,200 +عنا اتناشر فورت ومية عشرين فورت و DC و AC صارت + +75 +00:05:56,200 --> 00:05:59,400 +اللي ممكن لو أكم اختيار عاجوزة بتعمل حاجات شغلانة + +76 +00:05:59,400 --> 00:06:02,160 +في الضارة لكن بمجال الكهربا اللي بفتحتهم و بعدها + +77 +00:06:02,160 --> 00:06:08,540 +بفتحت كلهم الامور صعبة كدهطبعا، خلّينا نشوف، يا + +78 +00:06:08,540 --> 00:06:12,860 +عزيزي، هذا البناء اتعامل مع الـD، نقول لها، إحنا + +79 +00:06:12,860 --> 00:06:18,880 +بنعرف التكامل A، E ضد الـD، الحب هيكبّل إيه الـD، + +80 +00:06:18,880 --> 00:06:22,690 +مالذي يجيبها دي؟ إيش ماللي إيه الحب؟يعني هذه الآلة + +81 +00:06:22,690 --> 00:06:25,930 +صارت شغفة مشهورة، معروفة، أيه بتساوي ساوي الـD + +82 +00:06:25,930 --> 00:06:30,130 +والـD؟ نذكرها من D لـX بـE وبالتالي كيف أجيب E من + +83 +00:06:30,130 --> 00:06:35,130 +E؟ بقول فاضل الـD بيجيب E طيب، جدت أدوّعنا من E ضد + +84 +00:06:35,130 --> 00:06:40,250 +الـDL بتساوي D لـV ضد الـDL طبعا زمان، أنا موجود + +85 +00:06:40,250 --> 00:06:43,650 +زمان يعرف الطواعف كتير، لما أبقى هنا مجانا أديناكم + +86 +00:06:43,650 --> 00:06:46,430 +Fundamental Theorem في Calculus و Fundamental + +87 +00:06:46,430 --> 00:06:52,950 +Theorem في Gradient وقلناكم التكامل DFعلى DX DX من + +88 +00:06:52,950 --> 00:06:59,110 +A ل B بساوي F of B نخس .. ذاكرينه؟ تمام طب قولي + +89 +00:06:59,110 --> 00:07:01,730 +هدى عليها بس بقى اللي بيقولي الـD هي الـD من + +90 +00:07:01,730 --> 00:07:06,970 +التانية مش بالصيغة V of B نخس V of A المظبوط هو + +91 +00:07:06,970 --> 00:07:13,070 +يعني هجر الصيغة سالق V of تهبوز of B نخس V of A + +92 +00:07:13,070 --> 00:07:18,330 +مظبوط يقوله لأ ال fundamental theory of calculus + +93 +00:07:19,370 --> 00:07:22,590 +using the fundamental theory of Euclidean اللي هي + +94 +00:07:22,590 --> 00:07:29,790 +التشبيه بتاعة الكاربولاس صار عندي تمام high E dot + +95 +00:07:29,790 --> 00:07:34,890 +EDE الان comparing equation انا ال equation انا ان + +96 +00:07:34,890 --> 00:07:36,870 +شاء الله بقول ان انا صح اتبعت من هنا equation + +97 +00:07:36,870 --> 00:07:41,050 +تمامية اللي اخدتها انا وياكم اه اتبعتوا يعني عشان + +98 +00:07:41,050 --> 00:07:42,870 +اللي انا ماجدتش اتبعت + +99 +00:07:55,870 --> 00:08:00,810 +لما جيبنا ال care طلعنا + +100 +00:08:00,810 --> 00:08:09,510 +هذه المراجعة 8 E.DL والان انا برضه مجيب E.DL + +101 +00:08:13,170 --> 00:08:17,830 +أه ده أدتكوا بيه تمام هذا اذكر انا اشيلها منكم اذا + +102 +00:08:17,830 --> 00:08:23,110 +هذه بتقارنها التمانية التمانية ايش كانت تقول؟ كانت + +103 +00:08:23,110 --> 00:08:28,470 +تقول كيكيو واحدة على ار ا مقصودة على الار بيه ولا + +104 +00:08:28,470 --> 00:08:33,650 +لا؟ من الجميع التمانية مش هي عشرة عشرة اليسرى مش + +105 +00:08:33,650 --> 00:08:37,200 +نفس التكاملطب عشان جاليه مياشي مفتوح، يالا قولولي + +106 +00:08:37,200 --> 00:08:42,220 +واحد على أربعة باقي أبسل نول من أف يورو أكتر بوز؟ + +107 +00:08:42,220 --> 00:08:46,280 +واحد على .. + +108 +00:08:46,280 --> 00:08:54,400 +مظبوطش أيه؟ حلو هالي ناقص، بقدر أقول هالي بتسوي VA + +109 +00:08:54,400 --> 00:08:59,940 +ناقص DB طبعا، اتطلعوا عليها، يعني بقدر أقول إن + +110 +00:08:59,940 --> 00:09:09,550 +هالي هي هاليو هذه هي هذه هي هذه إذا بقدر أقول V + +111 +00:09:09,550 --> 00:09:16,330 +لكل نقطة بتساوي Q على أربع أبسل نُح واحد على R ولا + +112 +00:09:16,330 --> 00:09:21,970 +لأ إذا من مقارنة المعاجلتين بقدر أقول أنا عاملها + +113 +00:09:21,970 --> 00:09:28,750 +طب ما؟ أه عاملها عاملها هاي مقارنة موجودة إذا من + +114 +00:09:28,750 --> 00:09:37,270 +هنا بقدر أقول إن V بتساوي KQ على Rكيكيو على R وهذا + +115 +00:09:37,270 --> 00:09:40,790 +القانون اللي أخدناه في سيرداك كيكيو على R بس هنا + +116 +00:09:40,790 --> 00:09:44,610 +أثر كتير ليه أثر كتير؟ بيقولي انت بقالنا في دا + +117 +00:09:44,610 --> 00:09:47,150 +التحدي اللي هو ممكن تجمعنا في حالة عندك شحناتين + +118 +00:09:47,150 --> 00:09:49,870 +بتجمعهم، عندك شحناتين بتجمعهم، و كده يجمع، يجمع، + +119 +00:09:49,870 --> 00:09:52,470 +يجمع، يجمع، يجمع، يجمع، يجمع، يجمع، يجمع، يجمع، + +120 +00:09:52,470 --> 00:09:52,770 +يجمع، يجمع، يجمع، يجمع، يجمع، يجمع، يجمع، يجمع، + +121 +00:09:52,770 --> 00:09:57,530 +يجمع، يجمع، يجمع، يجمع، يجمع، + +122 +00:09:57,530 --> 00:10:00,600 +يجلو بدي اعمل الـ A عجز ان الشحن هنا بتكون في الـ + +123 +00:10:00,600 --> 00:10:03,380 +origin ان الـ A شرط بتسوي الـ 0 لو بدي اعمل الـ + +124 +00:10:03,380 --> 00:10:06,860 +Nجين الـ Y بيصير R script مش مهم is the electric + +125 +00:10:06,860 --> 00:10:09,520 +potential due to a pointed charge at the origin + +126 +00:10:09,520 --> 00:10:20,080 +أسويها برضه لو اجيت انا اعمل ايه نجع منها من E ل B + +127 +00:10:20,080 --> 00:10:26,160 +طلعت اندي هذه لو بدي اخلي هذه مانا نهاية سلكتها + +128 +00:10:26,160 --> 00:10:33,410 +هذههتكون سفر لأن هذه ليست مالة نهاية صح؟ إذا الجود + +129 +00:10:33,410 --> 00:10:39,150 +عند نقطة عند نقطة عبارة عن سالق من مالة نهاية لR E + +130 +00:10:39,150 --> 00:10:43,910 +.DL على اعتبار أن V عند المالة نهاية بتساوي Zero + +131 +00:10:43,910 --> 00:10:52,070 +تمام، إذا الآن في عندي نخلص إلى التالي إنه إنت إيه + +132 +00:10:52,070 --> 00:11:01,280 +مهلبك طلعتلك إياه بصورةفنشن الـ T ثمته V وسمّوه + +133 +00:11:01,280 --> 00:11:04,380 +Electric Potential في بعض الكتب وحطوا capital V + +134 +00:11:04,380 --> 00:11:09,900 +هذا ال V لكن خلّينا نكتب نمو ال V تمام؟ هذه ال V + +135 +00:11:09,900 --> 00:11:17,390 +اما بتساوي Qعلى أربعة by epsilon one وحدة على R أو + +136 +00:11:17,390 --> 00:11:22,810 +خلّيني أسميها R script in general أو V تساوي سالب + +137 +00:11:22,810 --> 00:11:31,970 +التكامل من مدى نهاية لنقطة RE ضد DL طبعا + +138 +00:11:31,970 --> 00:11:40,060 +الجرم إذا جيبت هذا فجيب هذا صحتمام وهذا طريقة برضه + +139 +00:11:40,060 --> 00:11:44,340 +ممكن اجيب V من E طبعا لاضح انه تشوفوا هذا وهذا مش + +140 +00:11:44,340 --> 00:11:50,040 +عكس بعض E بتفاضل V ال V بالكامل E واحد بيجيب + +141 +00:11:50,040 --> 00:11:52,980 +التاني شغلة مطلقية مافيش فيها مشكلة + +142 +00:12:06,060 --> 00:12:12,560 +عشان انا اعمل شويه دلوقتي كتب الشرايح افتح معاه + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/I-oXmDjF6XI_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/I-oXmDjF6XI_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..86ad3181f1aadd2d95244dcd588c20cfbde3ed47 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/I-oXmDjF6XI_postprocess.srt @@ -0,0 +1,1532 @@ +1 +00:00:21,380 --> 00:00:29,060 +احنا هنبدأ اليوم chapter 5 اللي هو magnetostatics + +2 +00:00:29,060 --> 00:00:32,560 +او + +3 +00:00:32,560 --> 00:00:36,300 +المغناطسية الساكنة هذا هو عنوان هذا ال chapter + +4 +00:00:36,300 --> 00:00:43,600 +اللي قدمنا احنا شوية عليه انه مصدر المجار + +5 +00:00:43,600 --> 00:00:49,780 +الكهربائي هو شحناتأي إن كان واضحة مصدر الشحنات أو + +6 +00:00:49,780 --> 00:00:55,660 +مصدر المجال المناطيسي هو شحنات متحركة إذا اللي أنا + +7 +00:00:55,660 --> 00:01:02,140 +بدي أقوله أنه + +8 +00:01:02,140 --> 00:01:09,120 +any moving charge creates + +9 +00:01:09,120 --> 00:01:16,450 +magnetic fieldإذا هذه أول معلومة أنه لا يكتبونها + +10 +00:01:16,450 --> 00:01:21,290 +مكتوب مثلا من الطب أكتب لازم أكتب يعني مجبر any + +11 +00:01:21,290 --> 00:01:25,030 +moving charge creates a magnetic field هذه أول + +12 +00:01:25,030 --> 00:01:31,110 +معلومة زي ما كنا any charge creates an electric + +13 +00:01:31,110 --> 00:01:41,290 +field also any moving charge in + +14 +00:01:41,640 --> 00:01:50,460 +مجلد مجلد مجلد مجلد مجلد + +15 +00:01:50,460 --> 00:01:51,900 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +16 +00:01:51,900 --> 00:01:52,340 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +17 +00:01:52,340 --> 00:01:55,180 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +18 +00:01:55,180 --> 00:02:00,420 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +19 +00:02:00,420 --> 00:02:09,140 +مجلد + +20 +00:02:10,530 --> 00:02:14,490 +والـ V هي السرعة هذه من اليوم الطالع بنحط عشان + +21 +00:02:14,490 --> 00:02:18,970 +نميزها عن قوة تانية بنسميها الـ Magnetic Force إذن + +22 +00:02:18,970 --> 00:02:24,410 +الـ Magnetic Force بتساوي Q V X P وإيه تت السرعة؟ + +23 +00:02:24,410 --> 00:02:28,290 +لأنه بيقوللي مابصرش فيه قوة إلا إذا كانت الشحنة + +24 +00:02:28,290 --> 00:02:34,410 +متحركة وتحرك الشحنة بمثله بالـ Velocity الآن لما + +25 +00:02:34,410 --> 00:02:40,080 +جينا و اطلعناعلى هكذا معادلة وكنا بنعرف انه لما + +26 +00:02:40,080 --> 00:02:43,500 +يكون في عندي cross product لو كانت عندي معادلة + +27 +00:02:43,500 --> 00:02:50,960 +بتقول C بتساوي A cross ال B قطعا C عمودية على ال A + +28 +00:02:50,960 --> 00:02:56,820 +و عمودية على ال B اذا من هنا بقدر اقول ان FM + +29 +00:02:56,820 --> 00:03:04,000 +perpendicular to V and FM perpendicular to B + +30 +00:03:09,660 --> 00:03:16,300 +تمام Now ال work done + +31 +00:03:16,300 --> 00:03:27,460 +by a magnetic force is W بساوي F magnetic dot DL + +32 +00:03:27,460 --> 00:03:35,040 +صحيح ولا لأ؟ هذا قانون ال work لو عملت هيك انا + +33 +00:03:38,180 --> 00:03:43,960 +وعملت هيك مافيش مشكلة عندك هذه الشيء هذه السرعة + +34 +00:03:43,960 --> 00:03:51,600 +اذا عندك product ضد product بين ال magnetic force + +35 +00:03:51,600 --> 00:03:56,360 +و بين ال velocity ال magnetic force و ال velocity + +36 +00:03:56,360 --> 00:04:01,660 +طيب ايش الزاوية اللي بين ال magnetic force و ال + +37 +00:04:01,660 --> 00:04:07,480 +velocity تسعين درجة اذا هذه قطعا zero + +38 +00:04:10,490 --> 00:04:15,230 +إذا ال magnetic force doesn't do any work ال + +39 +00:04:15,230 --> 00:04:19,790 +magnetic force does + +40 +00:04:19,790 --> 00:04:29,530 +not do any work ها هي ما المعلومة بما أن ال force + +41 +00:04:30,370 --> 00:04:34,110 +perpendicular to velocity and so perpendicular to + +42 +00:04:34,110 --> 00:04:38,490 +the displacement هذا بيعني ان ال magnetic force ال + +43 +00:04:38,490 --> 00:04:43,790 +work تبعتها zero طيب حلو احنا عندنا معلومة بتقول + +44 +00:04:43,790 --> 00:04:52,550 +ان ال work بيساوي delta K و + +45 +00:04:52,550 --> 00:04:59,480 +هذه بتصير بيساوي zeroإيش يعني؟ بيقول لي يعني الـ + +46 +00:04:59,480 --> 00:05:03,720 +kinetic energy must be constant يعني kinetic + +47 +00:05:03,720 --> 00:05:08,060 +energy initial بتسوي kinetic energy final يعني ال + +48 +00:05:08,060 --> 00:05:12,520 +kinetic energy is + +49 +00:05:12,520 --> 00:05:18,540 +constant إيش + +50 +00:05:18,540 --> 00:05:21,820 +يعني ال kinetic energy is constant؟ كنا بنعرف إن + +51 +00:05:21,820 --> 00:05:27,710 +ال kinetic energy بتسوي نص MV تربيعهذه لا تتغير + +52 +00:05:27,710 --> 00:05:37,030 +إذا الـ V² is constant والـ V هذه عبارة عن V ضد V + +53 +00:05:37,030 --> 00:05:45,050 +كنا بنعرف الـ V² إذا يعني منها الـ Speed is + +54 +00:05:45,050 --> 00:05:45,750 +constant + +55 +00:05:49,110 --> 00:05:51,750 +لا نستطيع أن نقول الـ velocity is constant لأن إذا + +56 +00:05:51,750 --> 00:05:54,090 +قلنا ال velocity is constant يعني مافيش + +57 +00:05:54,090 --> 00:05:57,530 +acceleration ومافيش acceleration يعني مافيش force + +58 +00:05:57,530 --> 00:06:03,230 +وانت بتقولي في FM هذا هي FM بيساوي QV cross بيه + +59 +00:06:03,230 --> 00:06:09,230 +إذا هذه بتقولي speed is constant بضل عندي إيش + +60 +00:06:09,230 --> 00:06:14,070 +يتغير في السرعة عشان أقول السرعة اتغيرت ال + +61 +00:06:14,070 --> 00:06:19,740 +directionالـ Direction. إذا الـ Magnetic Force إيش + +62 +00:06:19,740 --> 00:06:23,440 +بيغير في السرعة؟ بيغير الـ Direction تبعها بس + +63 +00:06:23,440 --> 00:06:27,540 +وبالتالي صار في عندك acceleration بحسب قانون + +64 +00:06:27,540 --> 00:06:32,100 +النيوتن التاني لأن قانون النيوتن التاني بيقول أي + +65 +00:06:32,100 --> 00:06:37,730 +forceit creates an acceleration وبما انه في عندك + +66 +00:06:37,730 --> 00:06:41,570 +force إذا قطعا في عندك acceleration acceleration + +67 +00:06:41,570 --> 00:06:47,590 +means the velocity is variable is changeable طيب + +68 +00:06:47,590 --> 00:06:55,330 +ال velocity عبارة عن ال velocity is + +69 +00:06:55,330 --> 00:06:57,490 +direction + +70 +00:06:59,510 --> 00:07:03,150 +و speed اللي هو ال magnitude هذا constant إيش ضال + +71 +00:07:03,150 --> 00:07:08,070 +يتغير؟ ال direction إذا دي ال magnetic force بتغير + +72 +00:07:08,070 --> 00:07:14,600 +ال directionوالـ Acceleration اللي ناتج من تغير + +73 +00:07:14,600 --> 00:07:18,360 +الـ Direction أخدناها في سنة أولى هي الـ + +74 +00:07:18,360 --> 00:07:21,460 +Centripetal Acceleration هي الـ Acceleration + +75 +00:07:21,460 --> 00:07:27,280 +المركزية هذا يعني أن كل Charge موجودة في مجال + +76 +00:07:27,280 --> 00:07:33,640 +مغناطيسي حركتها قطعا دائرية لا محالة حركتها دائرية + +77 +00:07:33,640 --> 00:07:43,480 +حلو كونها دائرية احنابدنا نثبت هذه الكلام منطقي اه + +78 +00:07:43,480 --> 00:07:48,380 +ممكن نصدق بعض انه ماعندك speed constant ماعندك + +79 +00:07:48,380 --> 00:07:51,860 +acceleration اذا ال acceleration is centripetal + +80 +00:07:51,860 --> 00:07:54,980 +وما زالها centripetal طبعا حابب نسميها centripetal + +81 +00:07:54,980 --> 00:07:58,060 +لان انا بتجاه المركز وما زالها centripetal اذا + +82 +00:07:58,060 --> 00:08:05,840 +الحركة دائرية حلو طيبأخدنا لـ Project الـ Motion + +83 +00:08:05,840 --> 00:08:10,220 +صح ولا لأ؟ حركة المغضوفات كيف المصار تبع حركة + +84 +00:08:10,220 --> 00:08:15,140 +المغضوفات؟ كيف شكله؟ برابولة؟ طيب، هذا برابولة + +85 +00:08:15,140 --> 00:08:20,640 +حكيتيه هيك ولا ممكن تثبتيه؟ممكن نثبته لأن + +86 +00:08:20,640 --> 00:08:24,200 +هالمعادلة البرابولة مرت عليكم ولا لأ؟ إذا انت + +87 +00:08:24,200 --> 00:08:27,820 +بتقولي برابولة و بتوم مليان، معناته إنت عندك + +88 +00:08:27,820 --> 00:08:31,320 +المقدرة تشتغلي شوية رياضية تقول هي معادلة + +89 +00:08:31,320 --> 00:08:35,320 +البرابولة، واش هي معادلة البرابولة؟ قاللي Y بتساوي + +90 +00:08:35,320 --> 00:08:41,580 +A X plus B X تربيع زائد C، هذه برابولةبظبط ولا لأ؟ + +91 +00:08:41,580 --> 00:08:47,000 +كيف كنا نجيبها؟ كنا نقول ولا شيء انت معادلات الـ + +92 +00:08:47,000 --> 00:08:52,500 +projectile motion مش كنت عندك بتقول X بيثوا V0 X + +93 +00:08:52,500 --> 00:09:00,680 +في T و Y بيثوا V0 Y في T نقص half GT تربيع مش هدول + +94 +00:09:00,680 --> 00:09:05,610 +قوانين ال projectile motionبس قولتلي لأ؟ طيب انت + +95 +00:09:05,610 --> 00:09:10,810 +بدك علاقة بين Y و X و تثبت انها برابولة بسيطة تقدر + +96 +00:09:10,810 --> 00:09:17,130 +تجيب من هنا T ايش T بتساوي؟ X على V X اذا صوت V + +97 +00:09:17,130 --> 00:09:23,890 +نقطة و Y بدل T X على V نقطة X نقص half G X تربيع + +98 +00:09:23,890 --> 00:09:30,590 +على V نقطة X تربيع اذا + +99 +00:09:30,590 --> 00:09:34,800 +برابولة؟أذا الـ Parabola رحت على كتاب الـ Calculus + +100 +00:09:34,800 --> 00:09:37,980 +ما هي المعادلة اللي طلعتها؟ قال لي هذه معادلة + +101 +00:09:37,980 --> 00:09:42,460 +Parabola و بقدر أجيب ال focus و بقدر أجيب ال axis + +102 +00:09:42,460 --> 00:09:46,300 +of symmetry كله اللي أخدتهوا في ال calculus B، + +103 +00:09:46,300 --> 00:09:51,820 +ذاكرين ولا لا؟ طيب، أنت الآن بتدعي أن أي particle + +104 +00:09:51,820 --> 00:09:56,700 +في مجال مغناطيسي بتحرك حركة دورانية، صح ولا لا؟ + +105 +00:09:57,320 --> 00:10:00,660 +طيب، معادلة حركة دورانية عن الدائرة، حوالين + +106 +00:10:00,660 --> 00:10:03,640 +الدائرة، المصارها دائري طب معادلة الدائرة + +107 +00:10:03,640 --> 00:10:10,420 +بتعرفهاش؟ بنعرفها إيش معادلة الدائرة؟ X ناقص A + +108 +00:10:10,420 --> 00:10:16,680 +تربيع زائد Y ناقص B تربيع بتسوي R تربيع مظبوط ولا + +109 +00:10:16,680 --> 00:10:21,740 +لأ؟ هذه معادلة الدائرة مركزها X و A .. A و B و نص + +110 +00:10:21,740 --> 00:10:30,120 +خطرها R طيب، جالي الله أثبتانت اقنعتني للوهلة + +111 +00:10:30,120 --> 00:10:34,920 +الأولى انه حركة دائرية طب اثبتها عشان تصبح دامغة + +112 +00:10:34,920 --> 00:10:40,420 +بما اننا اعطيناك معادلة الدائرة كيف بدك تثبتها؟ زي + +113 +00:10:40,420 --> 00:10:42,820 +ما عملت انت بال project in motion عندك معادلة + +114 +00:10:42,820 --> 00:10:50,620 +تتطربها ببعض واشتغلها فبصير في عندي خلنا + +115 +00:10:50,620 --> 00:10:56,690 +نفترض التالي يقول ليDescribe the motion of a + +116 +00:10:56,690 --> 00:11:00,550 +charged particle in a uniform magnetic field افترض + +117 +00:11:00,550 --> 00:11:04,310 +particle موجود في magnetic field ماهو التجاه؟ ماهو + +118 +00:11:04,310 --> 00:11:08,050 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +119 +00:11:08,050 --> 00:11:08,110 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +120 +00:11:08,110 --> 00:11:08,170 +ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو + +121 +00:11:08,170 --> 00:11:08,270 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +122 +00:11:08,270 --> 00:11:08,550 +ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو + +123 +00:11:08,550 --> 00:11:14,230 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +124 +00:11:14,230 --> 00:11:20,390 +ماهو التجاه؟ ماهو التجاه؟ ماهو الت + +125 +00:11:22,520 --> 00:11:26,320 +تمام؟ وجبنا نكون بيجيب في الامتحان صح؟ بغيّر + +126 +00:11:26,320 --> 00:11:30,280 +الاتجاه ايش حد تكون بيه؟ K ايه انا بدي اجيبها K + +127 +00:11:30,280 --> 00:11:36,300 +لأنه في الكتاب ال classic كانت J اظن تمام؟ جالي + +128 +00:11:36,300 --> 00:11:40,200 +let B + +129 +00:11:40,200 --> 00:11:49,040 +بتساوي B باتجاه ال K اثبت ان الحركة دائرية اثبت ان + +130 +00:11:49,040 --> 00:11:54,930 +الحركة دائرية طبعا احنا اتعلمنافي الـ Classic ان + +131 +00:11:54,930 --> 00:12:01,010 +كل القوانين بتبدأ من النوتين التاني و بكامل بال + +132 +00:12:01,010 --> 00:12:04,430 +initial conditions صح ولا لأ؟ ايش القانون بيقول؟ + +133 +00:12:04,430 --> 00:12:12,490 +بيقول F بتساوي MA صح ولا لأ؟ هلجيت هادي ال F من + +134 +00:12:12,490 --> 00:12:15,710 +وين جاية؟ قاللي شحنة موجودة في مجال مغناطيسي صح + +135 +00:12:15,710 --> 00:12:23,290 +ولا لأ؟ اذا هادي صارت Q V cross ال Bوهذه M هذه إيه + +136 +00:12:23,290 --> 00:12:28,950 +في خبارها؟ X double dot I Y double dot C Z double + +137 +00:12:28,950 --> 00:12:36,170 +dot K في مشكلة؟ شوية بنعمل shifting لل classic هذه + +138 +00:12:36,170 --> 00:12:39,850 +عبارة عن X double dot يعني تفاضل ثاني بالنسبالي + +139 +00:12:39,850 --> 00:12:45,670 +الزمن حلو طيب هذه كيف نجيبها؟ أجل علمتنا يا cross + +140 +00:12:45,670 --> 00:12:50,670 +product sorry V cross B بتساوي + +141 +00:12:52,280 --> 00:12:59,640 +IJK هذي V X Dot Y Dot Z Dot الـ B جلي دي بالك هذي + +142 +00:12:59,640 --> 00:13:10,740 +0 بي لإن انت دتنيها بس باتجاه ال K يلا Y + +143 +00:13:10,740 --> 00:13:22,470 +Dot B Y Dot B باتجاه ال Iناقص زائد sorry لأنه لما + +144 +00:13:22,470 --> 00:13:29,770 +أعمل هيك X dot لأ بالسالب ناقص X dot B باتجاه ال J + +145 +00:13:29,770 --> 00:13:37,870 +في في ال K لأ إذا بني الهادي صار في عندي Q افتح + +146 +00:13:37,870 --> 00:13:58,180 +جوس BY dot I ناقص ب X dotJم XW.I YW.J ZW.K إتفاجنا + +147 +00:13:58,180 --> 00:14:04,720 +هيك هذه معادلة Vector Vector إيش يعني بتساوي هو في + +148 +00:14:04,720 --> 00:14:09,620 +two vectors بتساوي إلا إذا المركبات بتبعتهم بتساوي + +149 +00:14:09,620 --> 00:14:13,720 +يلّا يا جمانة المركبة الصينية سويليها بالمركبة + +150 +00:14:13,720 --> 00:14:24,340 +الصينية Qبي واي دوت بسوى ميكس دابل دوت بي + +151 +00:14:24,340 --> 00:14:32,820 +واي دوت بسوى ميكس دابل دوت بي واي دوت بسوا ميكس + +152 +00:14:32,820 --> 00:14:38,340 +دابل دوت بي واي + +153 +00:14:38,340 --> 00:14:40,140 +دوت بسوا ميكس دابل دوت بي واي دوت بسوا ميكس دابل + +154 +00:14:40,140 --> 00:14:41,420 +دوت بي واي دوت بسوا ميكس دابل دوت بي واي دوت بسوا + +155 +00:14:41,420 --> 00:14:42,760 +ميكس دابل دوت بي واي دوت بسوا ميكس دابل دوت بي واي + +156 +00:14:42,760 --> 00:14:42,800 +دوت بسوا ميكس دابل دوت بي واي دوت بسوا ميكس دابل + +157 +00:14:42,800 --> 00:14:44,020 +دوت بي واي دوت بسوا ميكس دابل دوت بي واي دوت بسوا + +158 +00:14:44,020 --> 00:14:47,710 +ميكس دابل دوت بي واي دوتصحيح ولا لأ؟ ايش في الـ z + +159 +00:14:47,710 --> 00:14:54,090 +component دلوقتي؟ وين الـ zero؟ هنا بتساوي m z + +160 +00:14:54,090 --> 00:14:58,150 +double dot صحيح + +161 +00:14:58,150 --> 00:15:04,090 +لك ولا لأ؟ تمام؟ + +162 +00:15:04,090 --> 00:15:09,770 +هل من هنا ممكن اقول m z dot بتساوي constant؟ + +163 +00:15:12,800 --> 00:15:16,620 +صح الكلام هيك؟ او لا؟ ايش يعني زد ضد؟ هذه السرعة + +164 +00:15:16,620 --> 00:15:23,620 +باتجاه الـZ constant constant ايش يعني ال + +165 +00:15:23,620 --> 00:15:26,240 +constant؟ اذا سفر بيضارها سفر اذا خمسة بيضارها + +166 +00:15:26,240 --> 00:15:32,620 +خمسة تمام؟ هذه أول واحدة الآن ايش وظيفتنا؟ هذه + +167 +00:15:32,620 --> 00:15:36,900 +فيها زمن وهذه فيها زمن صح او لا؟ انت عشان تطلع + +168 +00:15:36,900 --> 00:15:41,380 +دائرة بتدغيلي زمنزي ما لغينا الزمن ذاكرين هنا و + +169 +00:15:41,380 --> 00:15:45,120 +هنا ال projectile motion عوضنا الزمن من واحدة + +170 +00:15:45,120 --> 00:15:47,500 +للتانية و لغينا الزمن فطبعا عندي معادلة بي و X + +171 +00:15:47,500 --> 00:15:51,240 +هدول طبعا مش ذاهدك سهلة هذه differential equation + +172 +00:15:51,240 --> 00:15:54,400 +صحي كلام؟ differential equation أيش بدنا نسوي + +173 +00:15:54,400 --> 00:15:58,280 +فيها؟ بسيطة انت differential equation غلبتنا كتير + +174 +00:15:58,280 --> 00:16:00,280 +هالسنة هذه ال differential equation بدنا نحاول + +175 +00:16:00,280 --> 00:16:05,160 +نحلها بتقدر تكامل طرفي المعادلة هنابالنسبة للزمن + +176 +00:16:05,160 --> 00:16:12,080 +بنكامل بصير هذي Y وهذه X Dot صحي دي و هنا و بتحط + +177 +00:16:12,080 --> 00:16:18,240 +زائر ثابت تمام فهو بعد ما عمل هذه الشغلات بيقوللي + +178 +00:16:18,240 --> 00:16:22,420 +integrating من هذه و هذه و هذه بدي اعمل + +179 +00:16:22,420 --> 00:16:29,160 +integration integrate with + +180 +00:16:29,160 --> 00:16:33,960 +respect to T ايش بتديني؟ نكتب؟ + +181 +00:16:41,500 --> 00:16:46,140 +هذه بتصير QBY + +182 +00:16:46,140 --> 00:16:52,080 +زائد ثابت معيّم تسميه وعاد لسوء MX dot هذه معادلة + +183 +00:16:52,080 --> 00:16:55,700 +رقم 6 زائد + +184 +00:16:55,700 --> 00:16:58,900 +ثابت ما هو في تعرفين المعادلة جمعت الثوابت اه يا + +185 +00:16:58,900 --> 00:17:05,100 +نور تخجلوش برضه برجع اللي ماخدش differential + +186 +00:17:05,100 --> 00:17:07,980 +equation مايخجلش إذا في عنده إشكالية هذا مش + +187 +00:17:07,980 --> 00:17:09,740 +differential equation تخافوش منها يعني التكامل أنا + +188 +00:17:09,740 --> 00:17:19,710 +بكملنأتي للتانية التانية ناقص QB X زائد C2 بيسوي + +189 +00:17:19,710 --> 00:17:27,090 +MY دُط هي معادل رقم سبعة وهذه + +190 +00:17:27,090 --> 00:17:31,290 +اتفاجنا ان Z دُط بيسوي constant و ال constant + +191 +00:17:31,290 --> 00:17:36,970 +بيسميه C3 constant + +192 +00:17:36,970 --> 00:17:39,510 +على أما هو constant صمته S3 + +193 +00:17:42,380 --> 00:17:46,720 +فى مشكلة كاملت بالنسبة للزمن والثابت حطيته زى ما + +194 +00:17:46,720 --> 00:17:50,020 +بدكم هى وثابت موجود عشان ما حد يقولى وين ثابت + +195 +00:17:50,020 --> 00:17:53,840 +التكامل ولا يقولى حدود التكامل الآن إيش بيقولى + +196 +00:17:53,840 --> 00:18:00,340 +Substituting for y dot in equation 7 into equation + +197 +00:18:00,340 --> 00:18:09,900 +3 اللى شايف ال y dot ها دى حطها هنا إذا ها دى بدي + +198 +00:18:09,900 --> 00:18:20,700 +أجيبها من هايلا نجيبها QB بدل Y ناقص Q ب X على M + +199 +00:18:20,700 --> 00:18:31,200 +مظبوط زائد C2 على M بتساوي M X Double Dot إذا + +200 +00:18:31,200 --> 00:18:36,540 +Substituting Y Dot from equation 7 into equation 3 + +201 +00:18:36,540 --> 00:18:42,800 +طلعت عندي هذه المعادلة طيب تمام؟هذه لما جيت عملتها + +202 +00:18:42,800 --> 00:18:50,320 +قولت عبارة عن QB QB على M فصار في عندي خلّيني أجسم + +203 +00:18:50,320 --> 00:18:57,420 +كمان M بالمرة فصارت QB على M وهي هذي هي كترة تربية + +204 +00:18:57,420 --> 00:19:04,760 +X زائد C 2 + +205 +00:19:04,760 --> 00:19:16,460 +وهي QB وهي M تربيةبتساوي X ضبّر ضغط صح صحين معايا؟ + +206 +00:19:16,460 --> 00:19:20,360 +غدير أنا اللي صاحلكم مصاحيش لغيركم قاعد بعمل + +207 +00:19:20,360 --> 00:19:29,780 +بالجلب تمام جالو الشيها دي QP على M QP على M شافوا + +208 +00:19:29,780 --> 00:19:34,930 +الوحدات رجوها واحد على secondالوحدات شفوا قالوا + +209 +00:19:34,930 --> 00:19:37,490 +واحد على السكنتر قالوا إيش هالكمية الفيزيائية اللي + +210 +00:19:37,490 --> 00:19:41,530 +واحد على السكنتر قالوا هادي heres Omega قالوا + +211 +00:19:41,530 --> 00:19:45,370 +Omega قالوا مش هادي ثابت دي Omega فصرت هادي Omega + +212 +00:19:45,370 --> 00:19:49,390 +تربيع في ال X اللي بدوش مش عاجباه يحط ثابت بس أنا + +213 +00:19:49,390 --> 00:19:53,410 +بدي أحطه Omega الجات تمام هيك؟ فصرت هذه المعادلة + +214 +00:19:53,410 --> 00:20:02,150 +عبارة عن ناقص Omega تربيع X زائد خليني أقول + +215 +00:20:06,890 --> 00:20:12,970 +برضه Omega تربيع او Omega QB على M تربيع هذه او + +216 +00:20:12,970 --> 00:20:18,190 +خلّيني اسميها هذه خلّيني اقول Omega تربيع في A + +217 +00:20:18,190 --> 00:20:24,830 +بتساوي X double dot طبعا + +218 +00:20:24,830 --> 00:20:27,310 +الواحد بيقول ليش حطيتها Omega تربيعي دي بقولكم ليش + +219 +00:20:27,310 --> 00:20:32,690 +دي مانع حتقوللي ليش طبعا طبعا يا بنات انتوا عارفين + +220 +00:20:32,690 --> 00:20:37,360 +انا هذه ايه ثابتة تعرفوها ثابتة دي C2معروفة؟ ولا + +221 +00:20:37,360 --> 00:20:41,720 +ثابت؟ ماحد بعرفها، بدي ألعب فيها كذا ما بدي، بدي + +222 +00:20:41,720 --> 00:20:44,180 +أحط هنا أمجي تربيها و أحط هذه بسم سيتني، بدي أصير + +223 +00:20:44,180 --> 00:20:48,280 +إيه؟ عشان ماحد يقولي وين أنت، تمام؟ طيب، هذه + +224 +00:20:48,280 --> 00:20:54,080 +المعادلة صارت كالتالي، طبعا هدتلك رياضي، الثواب + +225 +00:20:54,080 --> 00:21:00,360 +تلعب فيها زي ما بدك صارت + +226 +00:21:00,360 --> 00:21:09,460 +المعادلة كالتالي X double dotزائد W تربيع X بتساوي + +227 +00:21:09,460 --> 00:21:12,400 +Omega تربيع في الـA واحد بيقول فيه سالب بيقوله ديش + +228 +00:21:12,400 --> 00:21:19,180 +يا سالب خش في الـA دي + +229 +00:21:19,180 --> 00:21:25,810 +معادلة تفاضليةطبعا الـ Omega معروفة QB على M تمام + +230 +00:21:25,810 --> 00:21:30,770 +كيف بدي أحلها هذه المعادلة؟ هذه جمعية بتعرف + +231 +00:21:30,770 --> 00:21:37,430 +بيسموها non homogeneous differential equation حلها + +232 +00:21:37,430 --> 00:21:39,250 +.. كيف بيحلوا الـ non homogeneous؟ ليش non + +233 +00:21:39,250 --> 00:21:41,430 +homogeneous اللي بعرفش ال differential equation؟ + +234 +00:21:41,430 --> 00:21:44,720 +لأن هذه من الصفرلو هذه الصفر بيسموها homogeneous + +235 +00:21:44,720 --> 00:21:48,180 +عشان بالثوث ثابت بس الـ non homogeneous الـ non + +236 +00:21:48,180 --> 00:21:50,940 +homogeneous كي بحلو أقوله أول دي بال homogeneous + +237 +00:21:50,940 --> 00:21:56,420 +سبعتها حلها فالحل هو جزء منه تبعت ال homogeneous + +238 +00:21:56,420 --> 00:22:01,300 +زي ال complementary solution طبعا لو ال + +239 +00:22:01,300 --> 00:22:04,400 +homogeneous هدى فيش أشهر من كده معادلة هدى حالها + +240 +00:22:04,400 --> 00:22:08,200 +sin و cos هدى حالها sin و cos الـ simple harmonic + +241 +00:22:08,200 --> 00:22:17,680 +motionSin و Cos في حالها طلعت معانا X بتساوي + +242 +00:22:17,680 --> 00:22:25,400 +A زائد R Cos Omega T زائد ثابت معين بتسميه ثابت + +243 +00:22:25,400 --> 00:22:31,730 +Note هذا حالهاطبعا أنا بديش أخش في تفاصيل حالها + +244 +00:22:31,730 --> 00:22:37,330 +بنعرف كيف نجيبها من ال differential equations كيف + +245 +00:22:37,330 --> 00:22:39,070 +انتوا عاملين معاك دكتور نهاصر بدون differential + +246 +00:22:39,070 --> 00:22:42,970 +equations؟ + +247 +00:22:42,970 --> 00:22:48,930 +زي ما انتوا عاملين معايا؟ تمام لأن التاني .. أخش + +248 +00:22:48,930 --> 00:22:53,600 +في شطر تبع ال oscillations ولا لا؟أه طب هذا طلع + +249 +00:22:53,600 --> 00:22:56,260 +روحكم كيف عملته؟ كله differential equations و + +250 +00:22:56,260 --> 00:22:59,140 +homogeneous و non homogeneous مظبوط ولا لأ؟ عشان + +251 +00:22:59,140 --> 00:23:05,480 +تحلوا ال oscillations الله يعينه تمام الان طبعا يا + +252 +00:23:05,480 --> 00:23:09,420 +بنات انا بديش ياكم كيف تحلوه بس بديكم تقتنعوا انه + +253 +00:23:09,420 --> 00:23:15,320 +حل كيف بدي اقتنع انه حل؟ بدي اعوض في المعادلة + +254 +00:23:15,320 --> 00:23:19,200 +مظبوط ولا لأ؟ يلا يا داليلة كيف بدي اعوض هنا؟ ايه + +255 +00:23:19,200 --> 00:23:22,790 +بدي اسوي؟بدي اشتغل مرة و مرتين لان في x double dot + +256 +00:23:22,790 --> 00:23:28,670 +خلينا نجيب x dot هذي ايش؟ zero ايش تفادل تفادل ال + +257 +00:23:28,670 --> 00:23:37,010 +cosine؟ ناقص r omega sine omega t زائد في تنوتة + +258 +00:23:37,010 --> 00:23:43,110 +بظبط ولا لأ؟ طيب، بدي x double dot؟ ناقص r omega + +259 +00:23:43,110 --> 00:23:49,830 +تربية cosine omega t زائد في تنوتةمظبوط يقول انا + +260 +00:23:49,830 --> 00:23:53,830 +لأ كما لما اجري اعوض هنا + +261 +00:23:56,770 --> 00:24:03,810 +هيطلع معايا هادي في .. اللي هي هادي فيها ايه؟ صح؟ + +262 +00:24:03,810 --> 00:24:07,490 +هادي جيت بدي أضربها في a .. في omega تربية عشان + +263 +00:24:07,490 --> 00:24:13,190 +اضيعليها هادي هادي بضيحها و هادي مع هادي بضيع على + +264 +00:24:13,190 --> 00:24:17,770 +طول تلقائيا لانه هادي و هادي بضيحها فهادي بضيح + +265 +00:24:17,770 --> 00:24:22,100 +هادي بظل الكلمة هذا لما غلبك ضيعه هذاعشان كده + +266 +00:24:22,100 --> 00:24:26,240 +حطيتها W من الأول تمام طبعا لو بقعد أحطها A بحطها + +267 +00:24:26,240 --> 00:24:31,660 +و تطلع لي في الآخر ثابت مختلف فالحل صحيح قطعا اللي + +268 +00:24:31,660 --> 00:24:36,000 +مش مصدق هيعملنا test و لجينا حل و اللي يعرف + +269 +00:24:36,000 --> 00:24:38,420 +differential equation بيقول لأ ما نحلته تفصينا و + +270 +00:24:38,420 --> 00:24:42,900 +طلع هيك الحل اللي هي complementary solution و + +271 +00:24:42,900 --> 00:24:45,560 +particular solution + +272 +00:24:54,090 --> 00:25:02,670 +بعد ما حليت انا X صار عندى معادلة رقم عشرة اللى هى + +273 +00:25:02,670 --> 00:25:11,030 +هذه معادلة رقم عشرة خليتها تمام الان بيقولى ايش + +274 +00:25:11,030 --> 00:25:17,870 +اللى صار معاك طلعت X انت بدي اشتقها بالنسبة للزمن + +275 +00:25:18,710 --> 00:25:23,810 +عشان اعوض هنا واشوف شو بطلع معايا طيب اشتغتها + +276 +00:25:23,810 --> 00:25:27,430 +بالنسبة لي هي X dot جبتها اذا in differentiating + +277 +00:25:27,430 --> 00:25:31,830 +equation 10 with respect to time and substitute in + +278 +00:25:31,830 --> 00:25:39,210 +equation 6 هنا بدي اجي فصارت عنديEquation 10 + +279 +00:25:39,210 --> 00:25:43,690 +Differentiating equation 10 بجيب X dot and + +280 +00:25:43,690 --> 00:25:46,910 +Substituting in equation .. اه ما هي .. اه F هي X + +281 +00:25:46,910 --> 00:25:49,430 +dot انا عارف F هي X dot فده ما بطلع F هي X dot مش + +282 +00:25:49,430 --> 00:25:57,010 +F انا يلا بدي اقول من ال equation 6 Q بي في Y زائد + +283 +00:25:57,010 --> 00:26:04,770 +C واحد بتساوي اما بجي ال X dot بحط ناقص R W Sine + +284 +00:26:04,770 --> 00:26:07,390 +Omega T زائد في تنوتة + +285 +00:26:10,070 --> 00:26:19,130 +مظبوطيك ولا لأ تمام هذه المعادلة بدي أرتبها صارت Y + +286 +00:26:19,130 --> 00:26:27,250 +بدي أجسم علي B Q في B فصارت Y بتساوي ثابت هذا بدي + +287 +00:26:27,250 --> 00:26:37,250 +أعتبره ثابت P P ثابت ناقص R Sin + +288 +00:26:37,250 --> 00:26:45,970 +OmegaT زائد ثيتانوت لأنه + +289 +00:26:45,970 --> 00:26:52,730 +لما بدي أجسم على QP هذه واحدة على Omega فراحت مع + +290 +00:26:52,730 --> 00:27:01,730 +Omega فطلت هيك وهذه معادلة رقم 11 طبعا أنا مبسوط + +291 +00:27:01,730 --> 00:27:04,390 +ان انتوا خدتوها في ال classic الميح اللي جت هنا + +292 +00:27:04,390 --> 00:27:08,270 +بالتالي يعني مش الأول مرة بتعرفوا إيش اللي بسوي + +293 +00:27:09,140 --> 00:27:16,140 +تمام هذه معادلة عشرة وهذه معادلة 11 عشرة فيها زمن + +294 +00:27:16,140 --> 00:27:20,640 +و 11 فيها زمن صح ولا لا؟ خليني عشرة بس أعيد + +295 +00:27:20,640 --> 00:27:27,700 +كتابتها أقول X ناقص A بتساوي R Cos Omega T زائد + +296 +00:27:27,700 --> 00:27:33,780 +Theta Note صحيك؟ هذه عشرة 11 بدي أقولها Y ناقص B + +297 +00:27:33,780 --> 00:27:45,390 +بتساوي سالب RSin Omega T زي الـ Theta Note صحيح + +298 +00:27:45,390 --> 00:27:50,990 +هيك؟ بدي أضيع الزمن لما بدي أربع لإن هو Sin تربيع + +299 +00:27:50,990 --> 00:28:00,490 +أو Cos تربيع بضيع صارت X ناقص A تربيع زي Y ناقص B + +300 +00:28:00,490 --> 00:28:07,830 +تربيع ربع ال right hand sideR تربيع و الله طلعت + +301 +00:28:07,830 --> 00:28:14,290 +معادلة دائرة صح ولا هي معادلة الدائرة إذن الآن أنا + +302 +00:28:14,290 --> 00:28:20,470 +في الأول قلتالقوة المغناطسية بتعمل الشغل معناته + +303 +00:28:20,470 --> 00:28:25,390 +بتغيرش إلا ال direction تبع السرعة وكونها بتغيرش + +304 +00:28:25,390 --> 00:28:27,950 +إلا ال direction تبع السرعة قلت إذا ان الحركة + +305 +00:28:27,950 --> 00:28:34,730 +دائرية قطعا حد متوقع شمرت و بديت أشغل رياضيات طلعت + +306 +00:28:34,730 --> 00:28:41,110 +ال path تبعي عبارة عن دائرة هذا تأكيد للكلام اللي + +307 +00:28:41,110 --> 00:28:48,390 +كنت حاكي صحيح ولا لأ تمام هذهX نقص A تربيع زي Y + +308 +00:28:48,390 --> 00:28:53,270 +نقص P تربيع الدائرة تبعتك في ال X Y plane صح ولا + +309 +00:28:53,270 --> 00:28:56,790 +لأ؟ لكن انت ايش بتقول؟ بتقول دير بلقى في سرعة + +310 +00:28:56,790 --> 00:29:03,010 +باتجاه ال Z axis إذا دقرتك عمالها بتتحرك، دقرتك + +311 +00:29:03,010 --> 00:29:06,690 +بتتحرك، بتظل دائرة لكن بتتحرك، دائرة و اتحركت + +312 +00:29:06,690 --> 00:29:12,850 +بتطلع عندك ال Xمظبوط؟ ومحور الهليكس هو عبارة عن + +313 +00:29:12,850 --> 00:29:16,150 +باتجاه الصرعاء الثابتة اللي هو الـ Z-axis عشان كده + +314 +00:29:16,150 --> 00:29:18,790 +بنقول الهليكس دائما بيكون محوره باتجاه المجال + +315 +00:29:18,790 --> 00:29:23,570 +المغمطيسي لأنه من هناك قلنا ان بيه باتجاه الـ Z + +316 +00:29:23,570 --> 00:29:28,230 +لما انتوا خدتوا باتجاه ال Y طلعت عندكم هذه X نقص A + +317 +00:29:28,230 --> 00:29:33,390 +وهذه Z نقص B لأنها كانت باتجاه ال Y وY هو الكلمة + +318 +00:29:33,390 --> 00:29:39,610 +فقود وكانت ال circle في ال X Z planeوبالتالي في + +319 +00:29:39,610 --> 00:29:43,970 +الامتحان المجرد ما تغير شغلة بسيطة وكل ال methods + +320 +00:29:43,970 --> 00:29:48,630 +نفسها اتعاملنا معاها و جيبناها وبالتالي مجرد بنكي + +321 +00:29:48,630 --> 00:29:51,190 +في ال final جيبلكم إياها ال P باتجاه ال X المره + +322 +00:29:51,190 --> 00:29:59,940 +هذه يعني وين ما حطها بحطها كماطبعا بعد ما عملها ده + +323 +00:29:59,940 --> 00:30:05,320 +و أثبتها انها مسار دائري اذا then the path of the + +324 +00:30:05,320 --> 00:30:09,260 +motion is a circle of radius capital R and + +325 +00:30:09,260 --> 00:30:13,320 +centered at a و b مركز الدائرة في الثوابط اللي انت + +326 +00:30:13,320 --> 00:30:15,840 +حاطيتهم a و b هدول اللي انا حاطيتهم في ثوابط و + +327 +00:30:15,840 --> 00:30:20,800 +ممكن اتي تجيبهم now for z dot equal constant the + +328 +00:30:20,800 --> 00:30:27,620 +motion is helix the motion is helix طبعالو كانت + +329 +00:30:27,620 --> 00:30:35,720 +السرعة احنا بدنا من هنا F بتساوي Q V cross ال B لو + +330 +00:30:35,720 --> 00:30:41,300 +أول ما دخل ال particle دخل عمودي على ال B عمودي + +331 +00:30:41,300 --> 00:30:46,300 +على ال B إذا عمودي على ال B هتلاقي الزد Dot بتساوي + +332 +00:30:46,300 --> 00:30:52,150 +Zero و بتدلها Circle مابتتحركشتمام؟ لما تكون V + +333 +00:30:52,150 --> 00:30:58,190 +عمودية على B لما تدخل V عمودية على B يعني بمعنى + +334 +00:30:58,190 --> 00:31:03,990 +آخر لو كانت B باتجاه الـ Z عشان تكون V عمودية، + +335 +00:31:03,990 --> 00:31:07,800 +المفروض يكون مافيش عندك component باتجاه الـ Zيعني + +336 +00:31:07,800 --> 00:31:13,140 +Z Dot بتساوي Zero وإنت قولت Z Dot لازم تكون ثابتة، + +337 +00:31:13,140 --> 00:31:18,900 +إيش يعني؟ هتضالها Zero إذا ال Center، الدائرة، + +338 +00:31:18,900 --> 00:31:23,420 +بتتحركش، مازال ما اتحركتش، ضال الدائرة، بطل في + +339 +00:31:23,420 --> 00:31:26,500 +عندك Helix، اللي ممكنش إيجاها، الدائرة اتحركت، + +340 +00:31:26,500 --> 00:31:32,910 +فصار عندك Helix وبالتالي لما تكون V عمودي على Bهذا + +341 +00:31:32,910 --> 00:31:36,670 +بيعني و هذي P طبعا متجاه الـ Z ان Z Dot بتساوي + +342 +00:31:36,670 --> 00:31:40,550 +Zero مستحيل تكون في عندك Z component لأنه مالهاش + +343 +00:31:40,550 --> 00:31:45,490 +مركبة ها X Dot و Y Dot قامودين على الـ P خليهم لكن + +344 +00:31:45,490 --> 00:31:49,690 +Z Dot بتساوي Zero وانت قولت Z Dot بتساوي Constant + +345 +00:31:49,690 --> 00:31:55,570 +إذا بتضلها Zero مظبوط هيك ولا لا؟ وما زالها Zero + +346 +00:31:55,570 --> 00:32:02,150 +بتكون الحركة مش هيك ال Circle قطعةالحركة بتكون + +347 +00:32:02,150 --> 00:32:07,470 +Circle لأنه مافيش سرعة للـ Center باتجاه الـ Z + +348 +00:32:07,470 --> 00:32:12,210 +-Axis وبالتالي بتصريش عندك الـ Helix طبعا بإمكاننا + +349 +00:32:12,210 --> 00:32:19,750 +نجيب .. احكي لأ فيه F انا + +350 +00:32:19,750 --> 00:32:24,770 +ماقولتش Constant قولت عمودية على الـ B عمودية على + +351 +00:32:24,770 --> 00:32:32,020 +الـ B لما تكونV عمودية على B مش هالقانون يا نور + +352 +00:32:32,020 --> 00:32:36,960 +لما هتكون هذه عمودية على هذه يعني بتصير Q V في B + +353 +00:32:36,960 --> 00:32:43,040 +على طول سنة تسعين واحد صح؟ إذا في عندي قوة بس ال V + +354 +00:32:43,040 --> 00:32:47,280 +بتكونش إلها مركبة باتجاه ال B يعني لما تكون ال B + +355 +00:32:47,280 --> 00:32:51,260 +باتجاه ال Z معناته السرعة بتكون XY هذه معناتها، + +356 +00:32:51,260 --> 00:32:53,600 +وبالتالي مافيه ال Z component تمام + +357 +00:32:55,570 --> 00:32:58,790 +طبعا يا بناتي الـ R تربية اللي هي نص القطر + +358 +00:32:58,790 --> 00:33:06,370 +بإمكاننا نجيبها بسهولة و نطلحها المرة الجاية بدنا + +359 +00:33:06,370 --> 00:33:11,710 +نشوف فيما لو كان بالإضافة إلى المجال الكهربائي في + +360 +00:33:11,710 --> 00:33:15,530 +عندك مجالمن إضافة للمجال المناطيسي، عندك مجال + +361 +00:33:15,530 --> 00:33:20,990 +كعربائي فبتصير الـ net force acting on the + +362 +00:33:20,990 --> 00:33:30,190 +particle is not only Fm إذا بيصير F بيساوي Fe زائد + +363 +00:33:30,190 --> 00:33:37,590 +Fm مظبوط ولا لأ؟ هذه عبارة عن Q باتجاه الـE وهذه + +364 +00:33:37,590 --> 00:33:45,780 +QV cross الـBهل تتوقع الحركة دائرية؟ لأ لإيش؟ لأن + +365 +00:33:45,780 --> 00:33:50,740 +انت بتقوللي لو كانت بس magnetic force فش شغل و ال + +366 +00:33:50,740 --> 00:33:55,040 +speed بتكون constant بس الآن ال electric force + +367 +00:33:55,040 --> 00:33:59,800 +تعمل شغل وبالتالي ال velocity is not constant + +368 +00:33:59,800 --> 00:34:04,300 +بالتالي الحركة هتكون غير .. مش دائرية كيف بدك + +369 +00:34:04,300 --> 00:34:08,420 +تعملها؟ زي ما توي عملتها بتطلع ال cycloid اللي هي + +370 +00:34:08,420 --> 00:34:14,560 +الرسمة اللي انتوا عارفينهافي هذا الشكل و طبعا برضه + +371 +00:34:14,560 --> 00:34:18,700 +نشتقها مع بعض زي ما اشتقناها في ال classical انه + +372 +00:34:18,700 --> 00:34:24,180 +يكون عندى ال two forces طبعا بنجرب شوية شوية انه + +373 +00:34:24,180 --> 00:34:28,480 +في طبيعة الدنيا بتسمعوا انتوا في الموجات + +374 +00:34:28,480 --> 00:34:32,600 +الكهروميغناطيسية تسمعوا فيها ولا لأ؟ الموجات + +375 +00:34:32,600 --> 00:34:38,070 +الكهروميغناطيسية كل تقريبا كهرومنصية اتنينهي بتحكي + +376 +00:34:38,070 --> 00:34:40,070 +عن الموجات الكهرومغناطيسية، إيش هي الموجات + +377 +00:34:40,070 --> 00:34:43,470 +الكهرومغناطيسية؟ ليه سموها كهرومغناطيسية؟ لأنه + +378 +00:34:43,470 --> 00:34:47,230 +بتكون في عندك مجالين، مجال كهربائي ومجال مغناطيسي + +379 +00:34:47,230 --> 00:34:50,630 +ومتعمدين على بعض، فعادة المجال الكهربائي والمجال + +380 +00:34:50,630 --> 00:34:55,350 +المغناطيسي متلازمين، متلازمين، عند particle موجود + +381 +00:34:55,350 --> 00:34:58,250 +في المجال المغناطيسي وموجود في المجال الكهربائي، + +382 +00:34:58,250 --> 00:35:01,930 +بدي أعرف كيف الحركة، ومجرد اشتقاق، وهذا لسه موضوع + +383 +00:35:01,930 --> 00:35:04,530 +احنا مابديناش في صورب الشبطة + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/I-oXmDjF6XI_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/I-oXmDjF6XI_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..2a5fbef22bc10270eb1ad3dcb16add1998dc9b72 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/I-oXmDjF6XI_raw.srt @@ -0,0 +1,1540 @@ +1 +00:00:21,380 --> 00:00:29,060 +احنا هنبدأ اليوم chapter 5 اللي هو magnetostatics + +2 +00:00:29,060 --> 00:00:32,560 +او + +3 +00:00:32,560 --> 00:00:36,300 +المغناطسية الساكنة هذا هو عنوان هذا ال chapter + +4 +00:00:36,300 --> 00:00:43,600 +اللي قدمنا احنا شوية عليه انه مصدر المجار + +5 +00:00:43,600 --> 00:00:49,780 +الكهربائي هو شحناتأي إن كان واضحة مصدر الشحنات أو + +6 +00:00:49,780 --> 00:00:55,660 +مصدر المجال المناطيسي هو شحنات متحركة إذا اللي أنا + +7 +00:00:55,660 --> 00:01:02,140 +بدي أقوله أنه + +8 +00:01:02,140 --> 00:01:09,120 +any moving charge creates + +9 +00:01:09,120 --> 00:01:16,450 +magnetic fieldإذا هذه أول معلومة أنه لا يكتبونها + +10 +00:01:16,450 --> 00:01:21,290 +مكتوب مثلا من الطب أكتب لازم أكتب يعني مجبر any + +11 +00:01:21,290 --> 00:01:25,030 +moving charge creates a magnetic field هذه أول + +12 +00:01:25,030 --> 00:01:31,110 +معلومة زي ما كنا any charge creates an electric + +13 +00:01:31,110 --> 00:01:41,290 +field also any moving charge in + +14 +00:01:41,640 --> 00:01:50,460 +مجلد مجلد مجلد مجلد مجلد + +15 +00:01:50,460 --> 00:01:51,900 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +16 +00:01:51,900 --> 00:01:52,340 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +17 +00:01:52,340 --> 00:01:55,180 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +18 +00:01:55,180 --> 00:01:55,180 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +19 +00:01:55,180 --> 00:02:00,420 +مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد مجلد + +20 +00:02:00,420 --> 00:02:09,140 +مجلد + +21 +00:02:10,530 --> 00:02:14,490 +والـ V هي السرعة هذه من اليوم الطالع بنحط عشان + +22 +00:02:14,490 --> 00:02:18,970 +نميزها عن قوة تانية بنسميها الـ Magnetic Force إذن + +23 +00:02:18,970 --> 00:02:24,410 +الـ Magnetic Force بتساوي Q V X P وإيه تت السرعة؟ + +24 +00:02:24,410 --> 00:02:28,290 +لأنه بيقوللي مابصرش فيه قوة إلا إذا كانت الشحنة + +25 +00:02:28,290 --> 00:02:34,410 +متحركة وتحرك الشحنة بمثله بالـ Velocity الآن لما + +26 +00:02:34,410 --> 00:02:40,080 +جينا و اطلعناعلى هكذا معادلة وكنا بنعرف انه لما + +27 +00:02:40,080 --> 00:02:43,500 +يكون في عندي cross product لو كانت عندي معادلة + +28 +00:02:43,500 --> 00:02:50,960 +بتقول C بتساوي A cross ال B قطعا C عمودية على ال A + +29 +00:02:50,960 --> 00:02:56,820 +و عمودية على ال B اذا من هنا بقدر اقول ان FM + +30 +00:02:56,820 --> 00:03:04,000 +perpendicular to V and FM perpendicular to B + +31 +00:03:09,660 --> 00:03:16,300 +تمام Now ال work done + +32 +00:03:16,300 --> 00:03:27,460 +by a magnetic force is W بساوي F magnetic dot DL + +33 +00:03:27,460 --> 00:03:35,040 +صحيح ولا لأ؟ هذا قانون ال work لو عملت هيك انا + +34 +00:03:38,180 --> 00:03:43,960 +وعملت هيك مافيش مشكلة عندك هذه الشيء هذه السرعة + +35 +00:03:43,960 --> 00:03:51,600 +اذا عندك product ضد product بين ال magnetic force + +36 +00:03:51,600 --> 00:03:56,360 +و بين ال velocity ال magnetic force و ال velocity + +37 +00:03:56,360 --> 00:04:01,660 +طيب ايش الزاوية اللي بين ال magnetic force و ال + +38 +00:04:01,660 --> 00:04:07,480 +velocity تسعين درجة اذا هذه قطعا zero + +39 +00:04:10,490 --> 00:04:15,230 +إذا ال magnetic force doesn't do any work ال + +40 +00:04:15,230 --> 00:04:19,790 +magnetic force does + +41 +00:04:19,790 --> 00:04:29,530 +not do any work ها هي ما المعلومة بما أن ال force + +42 +00:04:30,370 --> 00:04:34,110 +perpendicular to velocity and so perpendicular to + +43 +00:04:34,110 --> 00:04:38,490 +the displacement هذا بيعني ان ال magnetic force ال + +44 +00:04:38,490 --> 00:04:43,790 +work تبعتها zero طيب حلو احنا عندنا معلومة بتقول + +45 +00:04:43,790 --> 00:04:52,550 +ان ال work بيساوي delta K و + +46 +00:04:52,550 --> 00:04:59,480 +هذه بتصير بيساوي zeroإيش يعني؟ بيقول لي يعني الـ + +47 +00:04:59,480 --> 00:05:03,720 +kinetic energy must be constant يعني kinetic + +48 +00:05:03,720 --> 00:05:08,060 +energy initial بتسوي kinetic energy final يعني ال + +49 +00:05:08,060 --> 00:05:12,520 +kinetic energy is + +50 +00:05:12,520 --> 00:05:18,540 +constant إيش + +51 +00:05:18,540 --> 00:05:21,820 +يعني ال kinetic energy is constant؟ كنا بنعرف إن + +52 +00:05:21,820 --> 00:05:27,710 +ال kinetic energy بتسوي نص MV تربيعهذه لا تتغير + +53 +00:05:27,710 --> 00:05:37,030 +إذا الـ V² is constant والـ V هذه عبارة عن V ضد V + +54 +00:05:37,030 --> 00:05:45,050 +كنا بنعرف الـ V² إذا يعني منها الـ Speed is + +55 +00:05:45,050 --> 00:05:45,750 +constant + +56 +00:05:49,110 --> 00:05:51,750 +لا نستطيع أن نقول الـ velocity is constant لأن إذا + +57 +00:05:51,750 --> 00:05:54,090 +قلنا ال velocity is constant يعني مافيش + +58 +00:05:54,090 --> 00:05:57,530 +acceleration ومافيش acceleration يعني مافيش force + +59 +00:05:57,530 --> 00:06:03,230 +وانت بتقولي في FM هذا هي FM بيساوي QV cross بيه + +60 +00:06:03,230 --> 00:06:09,230 +إذا هذه بتقولي speed is constant بضل عندي إيش + +61 +00:06:09,230 --> 00:06:14,070 +يتغير في السرعة عشان أقول السرعة اتغيرت ال + +62 +00:06:14,070 --> 00:06:19,740 +directionالـ Direction. إذا الـ Magnetic Force إيش + +63 +00:06:19,740 --> 00:06:23,440 +بيغير في السرعة؟ بيغير الـ Direction تبعها بس + +64 +00:06:23,440 --> 00:06:27,540 +وبالتالي صار في عندك acceleration بحسب قانون + +65 +00:06:27,540 --> 00:06:32,100 +النيوتن التاني لأن قانون النيوتن التاني بيقول أي + +66 +00:06:32,100 --> 00:06:37,730 +forceit creates an acceleration وبما انه في عندك + +67 +00:06:37,730 --> 00:06:41,570 +force إذا قطعا في عندك acceleration acceleration + +68 +00:06:41,570 --> 00:06:47,590 +means the velocity is variable is changeable طيب + +69 +00:06:47,590 --> 00:06:55,330 +ال velocity عبارة عن ال velocity is + +70 +00:06:55,330 --> 00:06:57,490 +direction + +71 +00:06:59,510 --> 00:07:03,150 +و speed اللي هو ال magnitude هذا constant إيش ضال + +72 +00:07:03,150 --> 00:07:08,070 +يتغير؟ ال direction إذا دي ال magnetic force بتغير + +73 +00:07:08,070 --> 00:07:14,600 +ال directionوالـ Acceleration اللي ناتج من تغير + +74 +00:07:14,600 --> 00:07:18,360 +الـ Direction أخدناها في سنة أولى هي الـ + +75 +00:07:18,360 --> 00:07:21,460 +Centripetal Acceleration هي الـ Acceleration + +76 +00:07:21,460 --> 00:07:27,280 +المركزية هذا يعني أن كل Charge موجودة في مجال + +77 +00:07:27,280 --> 00:07:33,640 +مغناطيسي حركتها قطعا دائرية لا محالة حركتها دائرية + +78 +00:07:33,640 --> 00:07:43,480 +حلو كونها دائرية احنابدنا نثبت هذه الكلام منطقي اه + +79 +00:07:43,480 --> 00:07:48,380 +ممكن نصدق بعض انه ماعندك speed constant ماعندك + +80 +00:07:48,380 --> 00:07:51,860 +acceleration اذا ال acceleration is centripetal + +81 +00:07:51,860 --> 00:07:54,980 +وما زالها centripetal طبعا حابب نسميها centripetal + +82 +00:07:54,980 --> 00:07:58,060 +لان انا بتجاه المركز وما زالها centripetal اذا + +83 +00:07:58,060 --> 00:08:05,840 +الحركة دائرية حلو طيبأخدنا لـ Project الـ Motion + +84 +00:08:05,840 --> 00:08:10,220 +صح ولا لأ؟ حركة المغضوفات كيف المصار تبع حركة + +85 +00:08:10,220 --> 00:08:15,140 +المغضوفات؟ كيف شكله؟ برابولة؟ طيب، هذا برابولة + +86 +00:08:15,140 --> 00:08:20,640 +حكيتيه هيك ولا ممكن تثبتيه؟ممكن نثبته لأن + +87 +00:08:20,640 --> 00:08:24,200 +هالمعادلة البرابولة مرت عليكم ولا لأ؟ إذا انت + +88 +00:08:24,200 --> 00:08:27,820 +بتقولي برابولة و بتوم مليان، معناته إنت عندك + +89 +00:08:27,820 --> 00:08:31,320 +المقدرة تشتغلي شوية رياضية تقول هي معادلة + +90 +00:08:31,320 --> 00:08:35,320 +البرابولة، واش هي معادلة البرابولة؟ قاللي Y بتساوي + +91 +00:08:35,320 --> 00:08:41,580 +A X plus B X تربيع زائد C، هذه برابولةبظبط ولا لأ؟ + +92 +00:08:41,580 --> 00:08:47,000 +كيف كنا نجيبها؟ كنا نقول ولا شيء انت معادلات الـ + +93 +00:08:47,000 --> 00:08:52,500 +projectile motion مش كنت عندك بتقول X بيثوا V0 X + +94 +00:08:52,500 --> 00:09:00,680 +في T و Y بيثوا V0 Y في T نقص half GT تربيع مش هدول + +95 +00:09:00,680 --> 00:09:05,610 +قوانين ال projectile motionبس قولتلي لأ؟ طيب انت + +96 +00:09:05,610 --> 00:09:10,810 +بدك علاقة بين Y و X و تثبت انها برابولة بسيطة تقدر + +97 +00:09:10,810 --> 00:09:17,130 +تجيب من هنا T ايش T بتساوي؟ X على V X اذا صوت V + +98 +00:09:17,130 --> 00:09:23,890 +نقطة و Y بدل T X على V نقطة X نقص half G X تربيع + +99 +00:09:23,890 --> 00:09:30,590 +على V نقطة X تربيع اذا + +100 +00:09:30,590 --> 00:09:34,800 +برابولة؟أذا الـ Parabola رحت على كتاب الـ Calculus + +101 +00:09:34,800 --> 00:09:37,980 +ما هي المعادلة اللي طلعتها؟ قال لي هذه معادلة + +102 +00:09:37,980 --> 00:09:42,460 +Parabola و بقدر أجيب ال focus و بقدر أجيب ال axis + +103 +00:09:42,460 --> 00:09:46,300 +of symmetry كله اللي أخدتهوا في ال calculus B، + +104 +00:09:46,300 --> 00:09:51,820 +ذاكرين ولا لا؟ طيب، أنت الآن بتدعي أن أي particle + +105 +00:09:51,820 --> 00:09:56,700 +في مجال مغناطيسي بتحرك حركة دورانية، صح ولا لا؟ + +106 +00:09:57,320 --> 00:10:00,660 +طيب، معادلة حركة دورانية عن الدائرة، حوالين + +107 +00:10:00,660 --> 00:10:03,640 +الدائرة، المصارها دائري طب معادلة الدائرة + +108 +00:10:03,640 --> 00:10:10,420 +بتعرفهاش؟ بنعرفها إيش معادلة الدائرة؟ X ناقص A + +109 +00:10:10,420 --> 00:10:16,680 +تربيع زائد Y ناقص B تربيع بتسوي R تربيع مظبوط ولا + +110 +00:10:16,680 --> 00:10:21,740 +لأ؟ هذه معادلة الدائرة مركزها X و A .. A و B و نص + +111 +00:10:21,740 --> 00:10:30,120 +خطرها R طيب، جالي الله أثبتانت اقنعتني للوهلة + +112 +00:10:30,120 --> 00:10:34,920 +الأولى انه حركة دائرية طب اثبتها عشان تصبح دامغة + +113 +00:10:34,920 --> 00:10:40,420 +بما اننا اعطيناك معادلة الدائرة كيف بدك تثبتها؟ زي + +114 +00:10:40,420 --> 00:10:42,820 +ما عملت انت بال project in motion عندك معادلة + +115 +00:10:42,820 --> 00:10:50,620 +تتطربها ببعض واشتغلها فبصير في عندي خلنا + +116 +00:10:50,620 --> 00:10:56,690 +نفترض التالي يقول ليDescribe the motion of a + +117 +00:10:56,690 --> 00:11:00,550 +charged particle in a uniform magnetic field افترض + +118 +00:11:00,550 --> 00:11:04,310 +particle موجود في magnetic field ماهو التجاه؟ ماهو + +119 +00:11:04,310 --> 00:11:08,050 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +120 +00:11:08,050 --> 00:11:08,050 +ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو + +121 +00:11:08,050 --> 00:11:08,110 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +122 +00:11:08,110 --> 00:11:08,170 +ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو + +123 +00:11:08,170 --> 00:11:08,270 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +124 +00:11:08,270 --> 00:11:08,550 +ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو + +125 +00:11:08,550 --> 00:11:14,230 +التجاه؟ ماهو التجاه؟ ماهو التجاه؟ ماهو التجاه؟ + +126 +00:11:14,230 --> 00:11:20,390 +ماهو التجاه؟ ماهو التجاه؟ ماهو الت + +127 +00:11:22,520 --> 00:11:26,320 +تمام؟ وجبنا نكون بيجيب في الامتحان صح؟ بغيّر + +128 +00:11:26,320 --> 00:11:30,280 +الاتجاه ايش حد تكون بيه؟ K ايه انا بدي اجيبها K + +129 +00:11:30,280 --> 00:11:36,300 +لأنه في الكتاب ال classic كانت J اظن تمام؟ جالي + +130 +00:11:36,300 --> 00:11:40,200 +let B + +131 +00:11:40,200 --> 00:11:49,040 +بتساوي B باتجاه ال K اثبت ان الحركة دائرية اثبت ان + +132 +00:11:49,040 --> 00:11:54,930 +الحركة دائرية طبعا احنا اتعلمنافي الـ Classic ان + +133 +00:11:54,930 --> 00:12:01,010 +كل القوانين بتبدأ من النوتين التاني و بكامل بال + +134 +00:12:01,010 --> 00:12:04,430 +initial conditions صح ولا لأ؟ ايش القانون بيقول؟ + +135 +00:12:04,430 --> 00:12:12,490 +بيقول F بتساوي MA صح ولا لأ؟ هلجيت هادي ال F من + +136 +00:12:12,490 --> 00:12:15,710 +وين جاية؟ قاللي شحنة موجودة في مجال مغناطيسي صح + +137 +00:12:15,710 --> 00:12:23,290 +ولا لأ؟ اذا هادي صارت Q V cross ال Bوهذه M هذه إيه + +138 +00:12:23,290 --> 00:12:28,950 +في خبارها؟ X double dot I Y double dot C Z double + +139 +00:12:28,950 --> 00:12:36,170 +dot K في مشكلة؟ شوية بنعمل shifting لل classic هذه + +140 +00:12:36,170 --> 00:12:39,850 +عبارة عن X double dot يعني تفاضل ثاني بالنسبالي + +141 +00:12:39,850 --> 00:12:45,670 +الزمن حلو طيب هذه كيف نجيبها؟ أجل علمتنا يا cross + +142 +00:12:45,670 --> 00:12:50,670 +product sorry V cross B بتساوي + +143 +00:12:52,280 --> 00:12:59,640 +IJK هذي V X Dot Y Dot Z Dot الـ B جلي دي بالك هذي + +144 +00:12:59,640 --> 00:13:10,740 +0 بي لإن انت دتنيها بس باتجاه ال K يلا Y + +145 +00:13:10,740 --> 00:13:22,470 +Dot B Y Dot B باتجاه ال Iناقص زائد sorry لأنه لما + +146 +00:13:22,470 --> 00:13:29,770 +أعمل هيك X dot لأ بالسالب ناقص X dot B باتجاه ال J + +147 +00:13:29,770 --> 00:13:37,870 +في في ال K لأ إذا بني الهادي صار في عندي Q افتح + +148 +00:13:37,870 --> 00:13:58,180 +جوس BY dot I ناقص ب X dotJم XW.I YW.J ZW.K إتفاجنا + +149 +00:13:58,180 --> 00:14:04,720 +هيك هذه معادلة Vector Vector إيش يعني بتساوي هو في + +150 +00:14:04,720 --> 00:14:09,620 +two vectors بتساوي إلا إذا المركبات بتبعتهم بتساوي + +151 +00:14:09,620 --> 00:14:13,720 +يلّا يا جمانة المركبة الصينية سويليها بالمركبة + +152 +00:14:13,720 --> 00:14:24,340 +الصينية Qبي واي دوت بسوى ميكس دابل دوت بي + +153 +00:14:24,340 --> 00:14:32,820 +واي دوت بسوى ميكس دابل دوت بي واي دوت بسوا ميكس + +154 +00:14:32,820 --> 00:14:38,340 +دابل دوت بي واي + +155 +00:14:38,340 --> 00:14:40,140 +دوت بسوا ميكس دابل دوت بي واي دوت بسوا ميكس دابل + +156 +00:14:40,140 --> 00:14:41,420 +دوت بي واي دوت بسوا ميكس دابل دوت بي واي دوت بسوا + +157 +00:14:41,420 --> 00:14:42,760 +ميكس دابل دوت بي واي دوت بسوا ميكس دابل دوت بي واي + +158 +00:14:42,760 --> 00:14:42,800 +دوت بسوا ميكس دابل دوت بي واي دوت بسوا ميكس دابل + +159 +00:14:42,800 --> 00:14:44,020 +دوت بي واي دوت بسوا ميكس دابل دوت بي واي دوت بسوا + +160 +00:14:44,020 --> 00:14:47,710 +ميكس دابل دوت بي واي دوتصحيح ولا لأ؟ ايش في الـ z + +161 +00:14:47,710 --> 00:14:54,090 +component دلوقتي؟ وين الـ zero؟ هنا بتساوي m z + +162 +00:14:54,090 --> 00:14:58,150 +double dot صحيح + +163 +00:14:58,150 --> 00:15:04,090 +لك ولا لأ؟ تمام؟ + +164 +00:15:04,090 --> 00:15:09,770 +هل من هنا ممكن اقول m z dot بتساوي constant؟ + +165 +00:15:12,800 --> 00:15:16,620 +صح الكلام هيك؟ او لا؟ ايش يعني زد ضد؟ هذه السرعة + +166 +00:15:16,620 --> 00:15:23,620 +باتجاه الـZ constant constant ايش يعني ال + +167 +00:15:23,620 --> 00:15:26,240 +constant؟ اذا سفر بيضارها سفر اذا خمسة بيضارها + +168 +00:15:26,240 --> 00:15:32,620 +خمسة تمام؟ هذه أول واحدة الآن ايش وظيفتنا؟ هذه + +169 +00:15:32,620 --> 00:15:36,900 +فيها زمن وهذه فيها زمن صح او لا؟ انت عشان تطلع + +170 +00:15:36,900 --> 00:15:41,380 +دائرة بتدغيلي زمنزي ما لغينا الزمن ذاكرين هنا و + +171 +00:15:41,380 --> 00:15:45,120 +هنا ال projectile motion عوضنا الزمن من واحدة + +172 +00:15:45,120 --> 00:15:47,500 +للتانية و لغينا الزمن فطبعا عندي معادلة بي و X + +173 +00:15:47,500 --> 00:15:51,240 +هدول طبعا مش ذاهدك سهلة هذه differential equation + +174 +00:15:51,240 --> 00:15:54,400 +صحي كلام؟ differential equation أيش بدنا نسوي + +175 +00:15:54,400 --> 00:15:58,280 +فيها؟ بسيطة انت differential equation غلبتنا كتير + +176 +00:15:58,280 --> 00:16:00,280 +هالسنة هذه ال differential equation بدنا نحاول + +177 +00:16:00,280 --> 00:16:05,160 +نحلها بتقدر تكامل طرفي المعادلة هنابالنسبة للزمن + +178 +00:16:05,160 --> 00:16:12,080 +بنكامل بصير هذي Y وهذه X Dot صحي دي و هنا و بتحط + +179 +00:16:12,080 --> 00:16:18,240 +زائر ثابت تمام فهو بعد ما عمل هذه الشغلات بيقوللي + +180 +00:16:18,240 --> 00:16:22,420 +integrating من هذه و هذه و هذه بدي اعمل + +181 +00:16:22,420 --> 00:16:29,160 +integration integrate with + +182 +00:16:29,160 --> 00:16:33,960 +respect to T ايش بتديني؟ نكتب؟ + +183 +00:16:41,500 --> 00:16:46,140 +هذه بتصير QBY + +184 +00:16:46,140 --> 00:16:52,080 +زائد ثابت معيّم تسميه وعاد لسوء MX dot هذه معادلة + +185 +00:16:52,080 --> 00:16:55,700 +رقم 6 زائد + +186 +00:16:55,700 --> 00:16:58,900 +ثابت ما هو في تعرفين المعادلة جمعت الثوابت اه يا + +187 +00:16:58,900 --> 00:17:05,100 +نور تخجلوش برضه برجع اللي ماخدش differential + +188 +00:17:05,100 --> 00:17:07,980 +equation مايخجلش إذا في عنده إشكالية هذا مش + +189 +00:17:07,980 --> 00:17:09,740 +differential equation تخافوش منها يعني التكامل أنا + +190 +00:17:09,740 --> 00:17:19,710 +بكملنأتي للتانية التانية ناقص QB X زائد C2 بيسوي + +191 +00:17:19,710 --> 00:17:27,090 +MY دُط هي معادل رقم سبعة وهذه + +192 +00:17:27,090 --> 00:17:31,290 +اتفاجنا ان Z دُط بيسوي constant و ال constant + +193 +00:17:31,290 --> 00:17:36,970 +بيسميه C3 constant + +194 +00:17:36,970 --> 00:17:39,510 +على أما هو constant صمته S3 + +195 +00:17:42,380 --> 00:17:46,720 +فى مشكلة كاملت بالنسبة للزمن والثابت حطيته زى ما + +196 +00:17:46,720 --> 00:17:50,020 +بدكم هى وثابت موجود عشان ما حد يقولى وين ثابت + +197 +00:17:50,020 --> 00:17:53,840 +التكامل ولا يقولى حدود التكامل الآن إيش بيقولى + +198 +00:17:53,840 --> 00:18:00,340 +Substituting for y dot in equation 7 into equation + +199 +00:18:00,340 --> 00:18:09,900 +3 اللى شايف ال y dot ها دى حطها هنا إذا ها دى بدي + +200 +00:18:09,900 --> 00:18:20,700 +أجيبها من هايلا نجيبها QB بدل Y ناقص Q ب X على M + +201 +00:18:20,700 --> 00:18:31,200 +مظبوط زائد C2 على M بتساوي M X Double Dot إذا + +202 +00:18:31,200 --> 00:18:36,540 +Substituting Y Dot from equation 7 into equation 3 + +203 +00:18:36,540 --> 00:18:42,800 +طلعت عندي هذه المعادلة طيب تمام؟هذه لما جيت عملتها + +204 +00:18:42,800 --> 00:18:50,320 +قولت عبارة عن QB QB على M فصار في عندي خلّيني أجسم + +205 +00:18:50,320 --> 00:18:57,420 +كمان M بالمرة فصارت QB على M وهي هذي هي كترة تربية + +206 +00:18:57,420 --> 00:19:04,760 +X زائد C 2 + +207 +00:19:04,760 --> 00:19:16,460 +وهي QB وهي M تربيةبتساوي X ضبّر ضغط صح صحين معايا؟ + +208 +00:19:16,460 --> 00:19:20,360 +غدير أنا اللي صاحلكم مصاحيش لغيركم قاعد بعمل + +209 +00:19:20,360 --> 00:19:29,780 +بالجلب تمام جالو الشيها دي QP على M QP على M شافوا + +210 +00:19:29,780 --> 00:19:34,930 +الوحدات رجوها واحد على secondالوحدات شفوا قالوا + +211 +00:19:34,930 --> 00:19:37,490 +واحد على السكنتر قالوا إيش هالكمية الفيزيائية اللي + +212 +00:19:37,490 --> 00:19:41,530 +واحد على السكنتر قالوا هادي heres Omega قالوا + +213 +00:19:41,530 --> 00:19:45,370 +Omega قالوا مش هادي ثابت دي Omega فصرت هادي Omega + +214 +00:19:45,370 --> 00:19:49,390 +تربيع في ال X اللي بدوش مش عاجباه يحط ثابت بس أنا + +215 +00:19:49,390 --> 00:19:53,410 +بدي أحطه Omega الجات تمام هيك؟ فصرت هذه المعادلة + +216 +00:19:53,410 --> 00:20:02,150 +عبارة عن ناقص Omega تربيع X زائد خليني أقول + +217 +00:20:06,890 --> 00:20:12,970 +برضه Omega تربيع او Omega QB على M تربيع هذه او + +218 +00:20:12,970 --> 00:20:18,190 +خلّيني اسميها هذه خلّيني اقول Omega تربيع في A + +219 +00:20:18,190 --> 00:20:24,830 +بتساوي X double dot طبعا + +220 +00:20:24,830 --> 00:20:27,310 +الواحد بيقول ليش حطيتها Omega تربيعي دي بقولكم ليش + +221 +00:20:27,310 --> 00:20:32,690 +دي مانع حتقوللي ليش طبعا طبعا يا بنات انتوا عارفين + +222 +00:20:32,690 --> 00:20:37,360 +انا هذه ايه ثابتة تعرفوها ثابتة دي C2معروفة؟ ولا + +223 +00:20:37,360 --> 00:20:41,720 +ثابت؟ ماحد بعرفها، بدي ألعب فيها كذا ما بدي، بدي + +224 +00:20:41,720 --> 00:20:44,180 +أحط هنا أمجي تربيها و أحط هذه بسم سيتني، بدي أصير + +225 +00:20:44,180 --> 00:20:48,280 +إيه؟ عشان ماحد يقولي وين أنت، تمام؟ طيب، هذه + +226 +00:20:48,280 --> 00:20:54,080 +المعادلة صارت كالتالي، طبعا هدتلك رياضي، الثواب + +227 +00:20:54,080 --> 00:21:00,360 +تلعب فيها زي ما بدك صارت + +228 +00:21:00,360 --> 00:21:09,460 +المعادلة كالتالي X double dotزائد W تربيع X بتساوي + +229 +00:21:09,460 --> 00:21:12,400 +Omega تربيع في الـA واحد بيقول فيه سالب بيقوله ديش + +230 +00:21:12,400 --> 00:21:19,180 +يا سالب خش في الـA دي + +231 +00:21:19,180 --> 00:21:25,810 +معادلة تفاضليةطبعا الـ Omega معروفة QB على M تمام + +232 +00:21:25,810 --> 00:21:30,770 +كيف بدي أحلها هذه المعادلة؟ هذه جمعية بتعرف + +233 +00:21:30,770 --> 00:21:37,430 +بيسموها non homogeneous differential equation حلها + +234 +00:21:37,430 --> 00:21:39,250 +.. كيف بيحلوا الـ non homogeneous؟ ليش non + +235 +00:21:39,250 --> 00:21:41,430 +homogeneous اللي بعرفش ال differential equation؟ + +236 +00:21:41,430 --> 00:21:44,720 +لأن هذه من الصفرلو هذه الصفر بيسموها homogeneous + +237 +00:21:44,720 --> 00:21:48,180 +عشان بالثوث ثابت بس الـ non homogeneous الـ non + +238 +00:21:48,180 --> 00:21:50,940 +homogeneous كي بحلو أقوله أول دي بال homogeneous + +239 +00:21:50,940 --> 00:21:56,420 +سبعتها حلها فالحل هو جزء منه تبعت ال homogeneous + +240 +00:21:56,420 --> 00:22:01,300 +زي ال complementary solution طبعا لو ال + +241 +00:22:01,300 --> 00:22:04,400 +homogeneous هدى فيش أشهر من كده معادلة هدى حالها + +242 +00:22:04,400 --> 00:22:08,200 +sin و cos هدى حالها sin و cos الـ simple harmonic + +243 +00:22:08,200 --> 00:22:17,680 +motionSin و Cos في حالها طلعت معانا X بتساوي + +244 +00:22:17,680 --> 00:22:25,400 +A زائد R Cos Omega T زائد ثابت معين بتسميه ثابت + +245 +00:22:25,400 --> 00:22:31,730 +Note هذا حالهاطبعا أنا بديش أخش في تفاصيل حالها + +246 +00:22:31,730 --> 00:22:37,330 +بنعرف كيف نجيبها من ال differential equations كيف + +247 +00:22:37,330 --> 00:22:39,070 +انتوا عاملين معاك دكتور نهاصر بدون differential + +248 +00:22:39,070 --> 00:22:42,970 +equations؟ + +249 +00:22:42,970 --> 00:22:48,930 +زي ما انتوا عاملين معايا؟ تمام لأن التاني .. أخش + +250 +00:22:48,930 --> 00:22:53,600 +في شطر تبع ال oscillations ولا لا؟أه طب هذا طلع + +251 +00:22:53,600 --> 00:22:56,260 +روحكم كيف عملته؟ كله differential equations و + +252 +00:22:56,260 --> 00:22:59,140 +homogeneous و non homogeneous مظبوط ولا لأ؟ عشان + +253 +00:22:59,140 --> 00:23:05,480 +تحلوا ال oscillations الله يعينه تمام الان طبعا يا + +254 +00:23:05,480 --> 00:23:09,420 +بنات انا بديش ياكم كيف تحلوه بس بديكم تقتنعوا انه + +255 +00:23:09,420 --> 00:23:15,320 +حل كيف بدي اقتنع انه حل؟ بدي اعوض في المعادلة + +256 +00:23:15,320 --> 00:23:19,200 +مظبوط ولا لأ؟ يلا يا داليلة كيف بدي اعوض هنا؟ ايه + +257 +00:23:19,200 --> 00:23:22,790 +بدي اسوي؟بدي اشتغل مرة و مرتين لان في x double dot + +258 +00:23:22,790 --> 00:23:28,670 +خلينا نجيب x dot هذي ايش؟ zero ايش تفادل تفادل ال + +259 +00:23:28,670 --> 00:23:37,010 +cosine؟ ناقص r omega sine omega t زائد في تنوتة + +260 +00:23:37,010 --> 00:23:43,110 +بظبط ولا لأ؟ طيب، بدي x double dot؟ ناقص r omega + +261 +00:23:43,110 --> 00:23:49,830 +تربية cosine omega t زائد في تنوتةمظبوط يقول انا + +262 +00:23:49,830 --> 00:23:53,830 +لأ كما لما اجري اعوض هنا + +263 +00:23:56,770 --> 00:24:03,810 +هيطلع معايا هادي في .. اللي هي هادي فيها ايه؟ صح؟ + +264 +00:24:03,810 --> 00:24:07,490 +هادي جيت بدي أضربها في a .. في omega تربية عشان + +265 +00:24:07,490 --> 00:24:13,190 +اضيعليها هادي هادي بضيحها و هادي مع هادي بضيع على + +266 +00:24:13,190 --> 00:24:17,770 +طول تلقائيا لانه هادي و هادي بضيحها فهادي بضيح + +267 +00:24:17,770 --> 00:24:22,100 +هادي بظل الكلمة هذا لما غلبك ضيعه هذاعشان كده + +268 +00:24:22,100 --> 00:24:26,240 +حطيتها W من الأول تمام طبعا لو بقعد أحطها A بحطها + +269 +00:24:26,240 --> 00:24:31,660 +و تطلع لي في الآخر ثابت مختلف فالحل صحيح قطعا اللي + +270 +00:24:31,660 --> 00:24:36,000 +مش مصدق هيعملنا test و لجينا حل و اللي يعرف + +271 +00:24:36,000 --> 00:24:38,420 +differential equation بيقول لأ ما نحلته تفصينا و + +272 +00:24:38,420 --> 00:24:42,900 +طلع هيك الحل اللي هي complementary solution و + +273 +00:24:42,900 --> 00:24:45,560 +particular solution + +274 +00:24:54,090 --> 00:25:02,670 +بعد ما حليت انا X صار عندى معادلة رقم عشرة اللى هى + +275 +00:25:02,670 --> 00:25:11,030 +هذه معادلة رقم عشرة خليتها تمام الان بيقولى ايش + +276 +00:25:11,030 --> 00:25:17,870 +اللى صار معاك طلعت X انت بدي اشتقها بالنسبة للزمن + +277 +00:25:18,710 --> 00:25:23,810 +عشان اعوض هنا واشوف شو بطلع معايا طيب اشتغتها + +278 +00:25:23,810 --> 00:25:27,430 +بالنسبة لي هي X dot جبتها اذا in differentiating + +279 +00:25:27,430 --> 00:25:31,830 +equation 10 with respect to time and substitute in + +280 +00:25:31,830 --> 00:25:39,210 +equation 6 هنا بدي اجي فصارت عنديEquation 10 + +281 +00:25:39,210 --> 00:25:43,690 +Differentiating equation 10 بجيب X dot and + +282 +00:25:43,690 --> 00:25:46,910 +Substituting in equation .. اه ما هي .. اه F هي X + +283 +00:25:46,910 --> 00:25:49,430 +dot انا عارف F هي X dot فده ما بطلع F هي X dot مش + +284 +00:25:49,430 --> 00:25:57,010 +F انا يلا بدي اقول من ال equation 6 Q بي في Y زائد + +285 +00:25:57,010 --> 00:26:04,770 +C واحد بتساوي اما بجي ال X dot بحط ناقص R W Sine + +286 +00:26:04,770 --> 00:26:07,390 +Omega T زائد في تنوتة + +287 +00:26:10,070 --> 00:26:19,130 +مظبوطيك ولا لأ تمام هذه المعادلة بدي أرتبها صارت Y + +288 +00:26:19,130 --> 00:26:27,250 +بدي أجسم علي B Q في B فصارت Y بتساوي ثابت هذا بدي + +289 +00:26:27,250 --> 00:26:37,250 +أعتبره ثابت P P ثابت ناقص R Sin + +290 +00:26:37,250 --> 00:26:45,970 +OmegaT زائد ثيتانوت لأنه + +291 +00:26:45,970 --> 00:26:52,730 +لما بدي أجسم على QP هذه واحدة على Omega فراحت مع + +292 +00:26:52,730 --> 00:27:01,730 +Omega فطلت هيك وهذه معادلة رقم 11 طبعا أنا مبسوط + +293 +00:27:01,730 --> 00:27:04,390 +ان انتوا خدتوها في ال classic الميح اللي جت هنا + +294 +00:27:04,390 --> 00:27:08,270 +بالتالي يعني مش الأول مرة بتعرفوا إيش اللي بسوي + +295 +00:27:09,140 --> 00:27:16,140 +تمام هذه معادلة عشرة وهذه معادلة 11 عشرة فيها زمن + +296 +00:27:16,140 --> 00:27:20,640 +و 11 فيها زمن صح ولا لا؟ خليني عشرة بس أعيد + +297 +00:27:20,640 --> 00:27:27,700 +كتابتها أقول X ناقص A بتساوي R Cos Omega T زائد + +298 +00:27:27,700 --> 00:27:33,780 +Theta Note صحيك؟ هذه عشرة 11 بدي أقولها Y ناقص B + +299 +00:27:33,780 --> 00:27:45,390 +بتساوي سالب RSin Omega T زي الـ Theta Note صحيح + +300 +00:27:45,390 --> 00:27:50,990 +هيك؟ بدي أضيع الزمن لما بدي أربع لإن هو Sin تربيع + +301 +00:27:50,990 --> 00:28:00,490 +أو Cos تربيع بضيع صارت X ناقص A تربيع زي Y ناقص B + +302 +00:28:00,490 --> 00:28:07,830 +تربيع ربع ال right hand sideR تربيع و الله طلعت + +303 +00:28:07,830 --> 00:28:14,290 +معادلة دائرة صح ولا هي معادلة الدائرة إذن الآن أنا + +304 +00:28:14,290 --> 00:28:20,470 +في الأول قلتالقوة المغناطسية بتعمل الشغل معناته + +305 +00:28:20,470 --> 00:28:25,390 +بتغيرش إلا ال direction تبع السرعة وكونها بتغيرش + +306 +00:28:25,390 --> 00:28:27,950 +إلا ال direction تبع السرعة قلت إذا ان الحركة + +307 +00:28:27,950 --> 00:28:34,730 +دائرية قطعا حد متوقع شمرت و بديت أشغل رياضيات طلعت + +308 +00:28:34,730 --> 00:28:41,110 +ال path تبعي عبارة عن دائرة هذا تأكيد للكلام اللي + +309 +00:28:41,110 --> 00:28:48,390 +كنت حاكي صحيح ولا لأ تمام هذهX نقص A تربيع زي Y + +310 +00:28:48,390 --> 00:28:53,270 +نقص P تربيع الدائرة تبعتك في ال X Y plane صح ولا + +311 +00:28:53,270 --> 00:28:56,790 +لأ؟ لكن انت ايش بتقول؟ بتقول دير بلقى في سرعة + +312 +00:28:56,790 --> 00:29:03,010 +باتجاه ال Z axis إذا دقرتك عمالها بتتحرك، دقرتك + +313 +00:29:03,010 --> 00:29:06,690 +بتتحرك، بتظل دائرة لكن بتتحرك، دائرة و اتحركت + +314 +00:29:06,690 --> 00:29:12,850 +بتطلع عندك ال Xمظبوط؟ ومحور الهليكس هو عبارة عن + +315 +00:29:12,850 --> 00:29:16,150 +باتجاه الصرعاء الثابتة اللي هو الـ Z-axis عشان كده + +316 +00:29:16,150 --> 00:29:18,790 +بنقول الهليكس دائما بيكون محوره باتجاه المجال + +317 +00:29:18,790 --> 00:29:23,570 +المغمطيسي لأنه من هناك قلنا ان بيه باتجاه الـ Z + +318 +00:29:23,570 --> 00:29:28,230 +لما انتوا خدتوا باتجاه ال Y طلعت عندكم هذه X نقص A + +319 +00:29:28,230 --> 00:29:33,390 +وهذه Z نقص B لأنها كانت باتجاه ال Y وY هو الكلمة + +320 +00:29:33,390 --> 00:29:39,610 +فقود وكانت ال circle في ال X Z planeوبالتالي في + +321 +00:29:39,610 --> 00:29:43,970 +الامتحان المجرد ما تغير شغلة بسيطة وكل ال methods + +322 +00:29:43,970 --> 00:29:48,630 +نفسها اتعاملنا معاها و جيبناها وبالتالي مجرد بنكي + +323 +00:29:48,630 --> 00:29:51,190 +في ال final جيبلكم إياها ال P باتجاه ال X المره + +324 +00:29:51,190 --> 00:29:59,940 +هذه يعني وين ما حطها بحطها كماطبعا بعد ما عملها ده + +325 +00:29:59,940 --> 00:30:05,320 +و أثبتها انها مسار دائري اذا then the path of the + +326 +00:30:05,320 --> 00:30:09,260 +motion is a circle of radius capital R and + +327 +00:30:09,260 --> 00:30:13,320 +centered at a و b مركز الدائرة في الثوابط اللي انت + +328 +00:30:13,320 --> 00:30:15,840 +حاطيتهم a و b هدول اللي انا حاطيتهم في ثوابط و + +329 +00:30:15,840 --> 00:30:20,800 +ممكن اتي تجيبهم now for z dot equal constant the + +330 +00:30:20,800 --> 00:30:27,620 +motion is helix the motion is helix طبعالو كانت + +331 +00:30:27,620 --> 00:30:35,720 +السرعة احنا بدنا من هنا F بتساوي Q V cross ال B لو + +332 +00:30:35,720 --> 00:30:41,300 +أول ما دخل ال particle دخل عمودي على ال B عمودي + +333 +00:30:41,300 --> 00:30:46,300 +على ال B إذا عمودي على ال B هتلاقي الزد Dot بتساوي + +334 +00:30:46,300 --> 00:30:52,150 +Zero و بتدلها Circle مابتتحركشتمام؟ لما تكون V + +335 +00:30:52,150 --> 00:30:58,190 +عمودية على B لما تدخل V عمودية على B يعني بمعنى + +336 +00:30:58,190 --> 00:31:03,990 +آخر لو كانت B باتجاه الـ Z عشان تكون V عمودية، + +337 +00:31:03,990 --> 00:31:07,800 +المفروض يكون مافيش عندك component باتجاه الـ Zيعني + +338 +00:31:07,800 --> 00:31:13,140 +Z Dot بتساوي Zero وإنت قولت Z Dot لازم تكون ثابتة، + +339 +00:31:13,140 --> 00:31:18,900 +إيش يعني؟ هتضالها Zero إذا ال Center، الدائرة، + +340 +00:31:18,900 --> 00:31:23,420 +بتتحركش، مازال ما اتحركتش، ضال الدائرة، بطل في + +341 +00:31:23,420 --> 00:31:26,500 +عندك Helix، اللي ممكنش إيجاها، الدائرة اتحركت، + +342 +00:31:26,500 --> 00:31:32,910 +فصار عندك Helix وبالتالي لما تكون V عمودي على Bهذا + +343 +00:31:32,910 --> 00:31:36,670 +بيعني و هذي P طبعا متجاه الـ Z ان Z Dot بتساوي + +344 +00:31:36,670 --> 00:31:40,550 +Zero مستحيل تكون في عندك Z component لأنه مالهاش + +345 +00:31:40,550 --> 00:31:45,490 +مركبة ها X Dot و Y Dot قامودين على الـ P خليهم لكن + +346 +00:31:45,490 --> 00:31:49,690 +Z Dot بتساوي Zero وانت قولت Z Dot بتساوي Constant + +347 +00:31:49,690 --> 00:31:55,570 +إذا بتضلها Zero مظبوط هيك ولا لا؟ وما زالها Zero + +348 +00:31:55,570 --> 00:32:02,150 +بتكون الحركة مش هيك ال Circle قطعةالحركة بتكون + +349 +00:32:02,150 --> 00:32:07,470 +Circle لأنه مافيش سرعة للـ Center باتجاه الـ Z + +350 +00:32:07,470 --> 00:32:12,210 +-Axis وبالتالي بتصريش عندك الـ Helix طبعا بإمكاننا + +351 +00:32:12,210 --> 00:32:19,750 +نجيب .. احكي لأ فيه F انا + +352 +00:32:19,750 --> 00:32:24,770 +ماقولتش Constant قولت عمودية على الـ B عمودية على + +353 +00:32:24,770 --> 00:32:32,020 +الـ B لما تكونV عمودية على B مش هالقانون يا نور + +354 +00:32:32,020 --> 00:32:36,960 +لما هتكون هذه عمودية على هذه يعني بتصير Q V في B + +355 +00:32:36,960 --> 00:32:43,040 +على طول سنة تسعين واحد صح؟ إذا في عندي قوة بس ال V + +356 +00:32:43,040 --> 00:32:47,280 +بتكونش إلها مركبة باتجاه ال B يعني لما تكون ال B + +357 +00:32:47,280 --> 00:32:51,260 +باتجاه ال Z معناته السرعة بتكون XY هذه معناتها، + +358 +00:32:51,260 --> 00:32:53,600 +وبالتالي مافيه ال Z component تمام + +359 +00:32:55,570 --> 00:32:58,790 +طبعا يا بناتي الـ R تربية اللي هي نص القطر + +360 +00:32:58,790 --> 00:33:06,370 +بإمكاننا نجيبها بسهولة و نطلحها المرة الجاية بدنا + +361 +00:33:06,370 --> 00:33:11,710 +نشوف فيما لو كان بالإضافة إلى المجال الكهربائي في + +362 +00:33:11,710 --> 00:33:15,530 +عندك مجالمن إضافة للمجال المناطيسي، عندك مجال + +363 +00:33:15,530 --> 00:33:20,990 +كعربائي فبتصير الـ net force acting on the + +364 +00:33:20,990 --> 00:33:30,190 +particle is not only Fm إذا بيصير F بيساوي Fe زائد + +365 +00:33:30,190 --> 00:33:37,590 +Fm مظبوط ولا لأ؟ هذه عبارة عن Q باتجاه الـE وهذه + +366 +00:33:37,590 --> 00:33:45,780 +QV cross الـBهل تتوقع الحركة دائرية؟ لأ لإيش؟ لأن + +367 +00:33:45,780 --> 00:33:50,740 +انت بتقوللي لو كانت بس magnetic force فش شغل و ال + +368 +00:33:50,740 --> 00:33:55,040 +speed بتكون constant بس الآن ال electric force + +369 +00:33:55,040 --> 00:33:59,800 +تعمل شغل وبالتالي ال velocity is not constant + +370 +00:33:59,800 --> 00:34:04,300 +بالتالي الحركة هتكون غير .. مش دائرية كيف بدك + +371 +00:34:04,300 --> 00:34:08,420 +تعملها؟ زي ما توي عملتها بتطلع ال cycloid اللي هي + +372 +00:34:08,420 --> 00:34:14,560 +الرسمة اللي انتوا عارفينهافي هذا الشكل و طبعا برضه + +373 +00:34:14,560 --> 00:34:18,700 +نشتقها مع بعض زي ما اشتقناها في ال classical انه + +374 +00:34:18,700 --> 00:34:24,180 +يكون عندى ال two forces طبعا بنجرب شوية شوية انه + +375 +00:34:24,180 --> 00:34:28,480 +في طبيعة الدنيا بتسمعوا انتوا في الموجات + +376 +00:34:28,480 --> 00:34:32,600 +الكهروميغناطيسية تسمعوا فيها ولا لأ؟ الموجات + +377 +00:34:32,600 --> 00:34:38,070 +الكهروميغناطيسية كل تقريبا كهرومنصية اتنينهي بتحكي + +378 +00:34:38,070 --> 00:34:40,070 +عن الموجات الكهرومغناطيسية، إيش هي الموجات + +379 +00:34:40,070 --> 00:34:43,470 +الكهرومغناطيسية؟ ليه سموها كهرومغناطيسية؟ لأنه + +380 +00:34:43,470 --> 00:34:47,230 +بتكون في عندك مجالين، مجال كهربائي ومجال مغناطيسي + +381 +00:34:47,230 --> 00:34:50,630 +ومتعمدين على بعض، فعادة المجال الكهربائي والمجال + +382 +00:34:50,630 --> 00:34:55,350 +المغناطيسي متلازمين، متلازمين، عند particle موجود + +383 +00:34:55,350 --> 00:34:58,250 +في المجال المغناطيسي وموجود في المجال الكهربائي، + +384 +00:34:58,250 --> 00:35:01,930 +بدي أعرف كيف الحركة، ومجرد اشتقاق، وهذا لسه موضوع + +385 +00:35:01,930 --> 00:35:04,530 +احنا مابديناش في صورب الشبطة + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/JZtFxj_yAZo.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/JZtFxj_yAZo.srt new file mode 100644 index 0000000000000000000000000000000000000000..684859e2eb6302d3cf72e0376839d67d3e12b7ed --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/JZtFxj_yAZo.srt @@ -0,0 +1,1884 @@ +1 +00:00:20,650 --> 00:00:29,670 +المهم أن نكمل اليوم و لا نُخلِص الحلقة لأن + +2 +00:00:29,670 --> 00:00:36,530 +اليوم آخر يوم دوام بسبب إجازة، وبالتالي الأسبوع اللي + +3 +00:00:36,530 --> 00:00:40,110 +بعد العيد نستكمل الـ chapter، ما تبقى من الـ chapter + +4 +00:00:40,110 --> 00:00:46,270 +غالباً مش هيأخذ منه إلا maximum باقي الأسبوع، وبعدين + +5 +00:00:46,270 --> 00:00:51,970 +ندخل على لب المادة وهي الكهرومغناطيسية، أو المادة + +6 +00:00:51,970 --> 00:00:55,850 +في الكهربية، أحنا أخذنا الـ divergence theorem، الـ + +7 +00:00:55,850 --> 00:00:59,290 +divergence theorem كانت تقول لي أن الـ volume + +8 +00:00:59,290 --> 00:01:06,120 +integral of a divergence of any vector equal to the + +9 +00:01:06,120 --> 00:01:10,360 +surface integral of the same vector، يعني بمعنى آخر + +10 +00:01:10,360 --> 00:01:14,620 +أنا خفضت بدل معمل تكامل على volume، أعمل تكامل على + +11 +00:01:14,620 --> 00:01:20,020 +surface، الـ Stokes theorem بتعمل شغل مشابه، بس بتخفف + +12 +00:01:20,020 --> 00:01:24,740 +من الـ surface لـ line، تمام؟ وبالتالي كان الكلام أن + +13 +00:01:24,740 --> 00:01:30,720 +الـ surface integral of a curve، طبعاً الـ curve بيكون + +14 +00:01:30,720 --> 00:01:36,300 +لـ vector must equal to the line integral of that + +15 +00:01:36,300 --> 00:01:42,020 +vector، وطبعاً الـ line هو الـ line that bounded the + +16 +00:01:42,020 --> 00:01:46,160 +surface، عشان كده بيكون الـ line must be closed، طيب + +17 +00:01:46,160 --> 00:01:49,660 +اتفقنا أن لو كان الـ surface closed بيكون الـ line + +18 +00:01:49,660 --> 00:01:55,300 +point، وبتكون النتيجة في الحالة دي zero، تمام؟ إذا اتفقنا + +19 +00:01:55,300 --> 00:02:01,440 +على هذا الشيء، الآن اللي وقفنا عنده بدنا نعمل + +20 +00:02:01,440 --> 00:02:06,700 +checking لـ Stokes Theorem بمثال معين بيقول لي هي + +21 +00:02:06,700 --> 00:02:12,190 +عندك vector، Check the Stokes theorem using the + +22 +00:02:12,190 --> 00:02:17,890 +vector A equal to x z plus three y تربيع باتجاه الـ + +23 +00:02:17,890 --> 00:02:22,490 +j plus four y z تربيع k، عشان أنا أطبق النظرية بدي + +24 +00:02:22,490 --> 00:02:26,210 +الـ surface، بديني الـ line لأن الـ line تابع للـ + +25 +00:02:26,210 --> 00:02:30,170 +surface، صحيح ولا لأ؟ وبالتالي بيقول لي على الـ + +26 +00:02:30,170 --> 00:02:32,490 +surface الأحمر اللي أنتم شايفينه، الـ surface + +27 +00:02:32,490 --> 00:02:36,510 +الأحمر هذا أبعاده في الرسمة مش مكتوبة هنا، واحد + +28 +00:02:36,510 --> 00:02:44,590 +واحد برضه، تمام؟ بدي أعمل إيش؟ إيش بتقول النظرية؟ + +29 +00:02:44,590 --> 00:02:54,330 +بتقول التكامل لـ ∇ × A ⋅ dS يساوي التكامل للـ A ⋅ + +30 +00:02:54,330 --> 00:03:03,070 +dl، طبعاً الـ line بيكون مغلق، تمام؟ بدي أول حاجة + +31 +00:03:03,070 --> 00:03:08,450 +أعملها، أجيب الـ Curl للـ vector، أجيب الـ Curl للـ vector + +32 +00:03:08,450 --> 00:03:12,290 +يعني وكأني بدي أعمل cross product بين two vectors، + +33 +00:03:12,290 --> 00:03:16,690 +واحد منهم اللي هو الـ del operator، فكنا بنعرف أن + +34 +00:03:16,690 --> 00:03:25,030 +الـ ∇ × A بجيب الـ determinant لـ I J K + +35 +00:03:25,030 --> 00:03:29,770 +وهنا إيش بحط؟ على طول هاد + +36 +00:03:29,770 --> 00:03:38,910 +بيقولوا أنا مغمّض، مش فيهم مشكلة، تمام؟ الـ + +37 +00:03:38,910 --> 00:03:46,790 +A هي بالتالي هذه كده؟ Zero، هذه 2xz plus 3y²، وهذه + +38 +00:03:46,790 --> 00:03:56,340 +4yz²، سهل الأمور، ماذا نفعل بعد ذلك؟ نغلق هذا، بعد هذا + +39 +00:03:56,340 --> 00:04:04,560 +نقول هذه تفاضلها عبارة عن أربعة ز تربيع، ناقص تفاضل + +40 +00:04:04,560 --> 00:04:14,380 +هذه، 2x باتجاه i، زائد الـ j، إيش تفاضل هذه؟ + +41 +00:04:14,380 --> 00:04:20,700 +Zero، طب وهذه؟ Zero، إذا Zero j، زائد هذا فاضل + +42 +00:04:20,700 --> 00:04:28,510 +بالنسبة لـ هذه، بالنسبة للـ x، 2z، والباقي + +43 +00:04:28,510 --> 00:04:34,230 +Zero، إذن هذه الـ Curl للـ vector، جبته، الـ Curl للـ + +44 +00:04:34,230 --> 00:04:38,470 +vector جبته، في أي استفسار على الـ Curl؟ إذن cross + +45 +00:04:38,470 --> 00:04:43,390 +product عادي، بعمل cross product، دي الـ operator كنا + +46 +00:04:43,390 --> 00:04:45,650 +عرفناه، partial على partial x، partial على partial y، + +47 +00:04:45,650 --> 00:04:49,750 +partial على partial z، بس هذه مهمته، بعد كده إيش + +48 +00:04:49,750 --> 00:04:52,350 +بيساويه؟ ما هو بفاضل، شغل سهل أني أفاضله، + +49 +00:04:54,970 --> 00:04:58,610 +تمام، مش مكتوب النتيجة؟ مكتوب ولا مش مكتوب، ولا + +50 +00:04:58,610 --> 00:05:01,430 +مكتوب، نتيجة نهائية، أو اكتبوا اللي بدكم إياه، اتفقنا؟ + +51 +00:05:01,430 --> 00:05:12,150 +الله، تمام، إيش بدي أسوي هلا؟ بدي dS، أسلم السيف أصلاً + +52 +00:05:12,150 --> 00:05:19,280 +الحمراء، مين يقول لي dS جداش تبعها؟ dydz، برافو علينا، طيب + +53 +00:05:19,280 --> 00:05:24,240 +دي y، دي z، بتعتبره باتجاه الـ i، عليكم، صحيح؟ باتجاه + +54 +00:05:24,240 --> 00:05:34,440 +الـ i، إذا هذا عبارة عن dydz باتجاه الـ i، حلو، + +55 +00:05:34,440 --> 00:05:38,800 +إيش عمل الدكتور؟ بدنا نضرب هذا وهذا، إيش بيطلع + +56 +00:05:38,800 --> 00:05:44,340 +عنكم؟ 4z² − 2x، فصار التكامل دي + +57 +00:05:44,340 --> 00:05:51,990 +∇ × A ⋅ dS، يساوي التكامل 4z² + +58 +00:05:51,990 --> 00:05:57,390 +− 2x dydz، + +59 +00:05:57,390 --> 00:06:02,190 +بظبط، + +60 +00:06:02,190 --> 00:06:07,370 +هيك؟ حلو، الـ + +61 +00:06:07,370 --> 00:06:12,550 +surface كله مبين معاكم، صح؟ dydz × x، ها دي؟ ممكن + +62 +00:06:12,550 --> 00:06:13,330 +أعوض عنها؟ + +63 +00:06:23,720 --> 00:06:29,500 +0، لأنها محطوطة كلها على y-z plane، الشغل عندما تكون + +64 +00:06:29,500 --> 00:06:32,600 +على y-z plane، يعني الـ x مش موجودة، كلها Zero في + +65 +00:06:32,600 --> 00:06:40,050 +الـ x-y plane ما فيش z، صحيح؟ إذن هذه Zero، إذن النتيجة + +66 +00:06:40,050 --> 00:06:48,470 +صارت 4 تكامل z² dydz من صفر لواحد، من + +67 +00:06:48,470 --> 00:06:54,410 +صفر لواحد، طبعاً كمان مرة بدي أعمل خطوة خطوة، بتصير + +68 +00:06:54,410 --> 00:07:00,370 +التكامل لـ dy من صفر لواحد، والتكامل في هنا أربعة + +69 +00:07:00,370 --> 00:07:07,110 +بس هطلعها برا، والتكامل لـ z² dz من صفر لواحد، + +70 +00:07:07,110 --> 00:07:14,550 +عشان أعرف كيف بنكمل، بمسائل بنعملها؟ أول قوس كده؟ + +71 +00:07:14,550 --> 00:07:24,190 +واحد، ثاني قوس ثلث، واحد في ثلث، وفي البرا أربعة، إذا + +72 +00:07:24,190 --> 00:07:31,150 +النتيجة النهائية 4/3، هذا الطرف الأيسر من + +73 +00:07:31,150 --> 00:07:38,010 +النظرية، دل الـ A، دل الـ ∇ × A، يعني Curl of A + +74 +00:07:38,010 --> 00:07:42,790 +ضد الـ dS، صلت 4/3، بدي أشوف هذا، بدي أشوف الآن A ضد + +75 +00:07:42,790 --> 00:07:50,290 +الـ dl، الـ line مش عشوائي، مرتبط بالـ surface الـ + +76 +00:07:50,290 --> 00:07:56,090 +surface الأحمر، أكمل مستقيم بالأعلى، بالأفقي، أربعة الـ + +77 +00:07:56,090 --> 00:07:59,110 +Bottom والـ Top والـ Right والـ Left، مظبوط ولا + +78 +00:07:59,110 --> 00:08:03,770 +لأ؟ طيب، واحدة واحدة، بدي dl لهذا، طبعاً هذه y أظن + +79 +00:08:03,770 --> 00:08:12,930 +إن كانت، جداش جيها دي؟ إذا dl للـ Bottom بيساوي dy + +80 +00:08:12,930 --> 00:08:21,190 +باتجاه الـ j، صح؟ طب وهذا dl + +81 +00:08:21,190 --> 00:08:30,780 +للـ Right بيساوي dz باتجاه الـ k، طب وهذا dl للـ + +82 +00:08:30,780 --> 00:08:38,280 +Top، بيساوي −dy باتجاه الـ j، وهذا dl للـ Left + +83 +00:08:38,280 --> 00:08:46,080 +بيساوي −dz باتجاه الـ k، تمام؟ + +84 +00:08:46,080 --> 00:08:53,280 +هيك؟ طبعاً، بس مجرد عشان ما كان في حد يسأل، يقول ليش + +85 +00:08:53,280 --> 00:08:55,700 +أنت مشيت مع عقارب الساعة، ومشيتش ضد عقارب + +86 +00:08:55,700 --> 00:08:59,920 +الساعة، سؤال + +87 +00:08:59,920 --> 00:09:05,200 +مشروع ولا لأ؟ من يجاوبني؟ + +88 +00:09:05,200 --> 00:09:13,500 +حلو، لكن في الآخر هتصير هذه ناقص، وهذه زائد، مظبوط + +89 +00:09:13,500 --> 00:09:16,040 +ولا لأ؟ إيش اللي بيفرق عن بعض؟ + +90 +00:09:18,650 --> 00:09:22,390 +ليش مشيت هكذا أنا؟ عارفين ليش؟ شوفوا إيدكم اليمنى، + +91 +00:09:22,390 --> 00:09:25,030 +لو أنا مشيت مع عقارب الساعة زي ما أنا ماشي، إبهامكم + +92 +00:09:25,030 --> 00:09:30,430 +أين بيودي؟ هنا، طلعوا هنا، لفوا زي ما أنا لافف، + +93 +00:09:30,430 --> 00:09:36,090 +وين إبهامكم راح؟ للخارج، + +94 +00:09:36,090 --> 00:09:39,890 +أنا هيك بلف، زي ما أنا عامل، للخارج، لأنك أنت أخدت + +95 +00:09:39,890 --> 00:09:44,580 +الـ S هيك، أنا أخدت الـ S باتجاه الـ i، لكن لو بدك تعكس + +96 +00:09:44,580 --> 00:09:46,900 +بدك تأخذ الـ S باتجاه السالب i، فالسالب اللي هناك + +97 +00:09:46,900 --> 00:09:49,700 +بيضيع السالب اللي هناك، عشان تطلع النتيجة واحدة، + +98 +00:09:49,700 --> 00:09:52,700 +ذاكرين احنا لما قلنا لما يكون الـ surface زي هيك + +99 +00:09:52,700 --> 00:09:56,900 +اتجاه الـ area عمودي عليه، فهي عندي كم + +100 +00:09:56,900 --> 00:10:01,860 +احتمال، لا هيك لا هيك، لأن هذا مش closed، أقول الخارج + +101 +00:10:01,860 --> 00:10:05,540 +لا هيك لا هيك، مازال، حطيت هيك مع أن أنت ماشي مع قرب + +102 +00:10:05,540 --> 00:10:08,900 +الساعة، شكراً، مشيت مع قرب الساعة، تمام؟ + +103 +00:10:10,600 --> 00:10:18,400 +إذن يا بنات، الآن أنا الـ dl طلعت معايا أربعة، وبدي + +104 +00:10:18,400 --> 00:10:23,860 +أمشي فيها واحد واحد، فمعناته + +105 +00:10:23,860 --> 00:10:32,720 +التكامل المغلق لـ A ⋅ dl equal تكامل A ⋅ + +106 +00:10:32,720 --> 00:10:47,160 +dl، بتم زائد A ⋅ dl right + +107 +00:10:47,160 --> 00:10:56,720 +زائد A ⋅ dl left، مشي، بعمل أربعة، بدي أسكرهم، سكرتهم + +108 +00:10:57,940 --> 00:11:01,720 +الـ A هيبين قدامكم، مظبوط؟ بدي أعمله ضد product + +109 +00:11:01,720 --> 00:11:07,820 +مع الـ dl بتم، dy j، dy j، إيش بتصير هذه؟ تكامل + +110 +00:11:07,820 --> 00:11:20,980 +2xz + 3y² في dy، الكل + +111 +00:11:20,980 --> 00:11:25,480 +صحيح؟ بعمل ضد product، بدكم أعيد؟ بعيد، + +112 +00:11:29,060 --> 00:11:33,600 +بعمل ضد product بين هذا الـ vector وهذا الـ vector، + +113 +00:11:33,600 --> 00:11:43,400 +دي الـ bottom عملته، زائد الـ top، إيش فرقهم؟ ناقص، إذا + +114 +00:11:43,400 --> 00:11:50,240 +صارت ناقص تكامل 2xz + 3y² dy، + +115 +00:11:55,730 --> 00:12:01,510 +لأن dot product j مع j، هرجت بالـ dl right، كيف + +116 +00:12:01,510 --> 00:12:06,450 +أعمل dot product بين A وهذا؟ بأخذ هذا بس، صح؟ + +117 +00:12:06,450 --> 00:12:14,850 +بيصير 4 تكامل y z² dy، إيش + +118 +00:12:14,850 --> 00:12:22,910 +التالت؟ زيّه بس إيش؟ بالسالب، −4 y z² + +119 +00:12:22,910 --> 00:12:23,330 +dy، + +120 +00:12:27,070 --> 00:12:34,590 +أحكي، أحكي، سليمي، إيه السؤال اللي بصوت عالي، إن هي + +121 +00:12:34,590 --> 00:12:39,210 +فيهم، اه، + +122 +00:12:39,210 --> 00:12:43,410 +و + +123 +00:12:43,410 --> 00:12:54,850 +بتحكي فوق بكام؟ ليش هي دي z، تمام؟ حلو، غيرها، الآن بدي + +124 +00:12:54,850 --> 00:12:59,530 +أبدأ أكمل وأعوض، لأن أنا هنا عندي بكامل على dy، طب + +125 +00:12:59,530 --> 00:13:04,350 +هذه الـ x والـ z إيش أخبارها؟ بدي نتفق، هو كل الـ + +126 +00:13:04,350 --> 00:13:11,050 +surface x تبعها جداش؟ إذا كل الـ lines x هم صفر، صح؟ + +127 +00:13:11,050 --> 00:13:17,490 +كل الـ lines x هم صفر، إذا هذه راحت، وهذه راحت، كلهم + +128 +00:13:17,490 --> 00:13:23,880 +x، وهناك مش x، متفقين؟ حلو، الآن إيش ظل عندي؟ تلاتة + +129 +00:13:23,880 --> 00:13:33,880 +y² dy، 3y² dy عبارة عن 3y³/3 من صفر لواحد، بتطلع واحد، خليها واحد، + +130 +00:13:33,880 --> 00:13:38,060 +واحدة، ناقص برضه + +131 +00:13:38,060 --> 00:13:45,500 +نفس العملية، + +132 +00:13:45,500 --> 00:13:46,240 +نفس العملية، + +133 +00:13:53,660 --> 00:13:58,140 +واحدة واحدة، هاجيت بكامل على dz، الـ right، جداش وإيه + +134 +00:13:58,140 --> 00:14:07,260 +تبعته واحد، إذا هادي زائد 4yz، 4/3، + +135 +00:14:07,260 --> 00:14:13,020 +أعتبر أن الـ y واحد، طب وآخر واحدة، جداش وإيه صفر، + +136 +00:14:13,020 --> 00:14:18,800 +جداش؟ + +137 +00:14:18,800 --> 00:14:21,480 +أضع الجواب 4/3، + +138 +00:14:25,080 --> 00:14:33,920 +عيد، عيد حاجة يا بنات، تمام؟ + +139 +00:14:33,920 --> 00:14:37,160 +طبعاً، + +140 +00:14:37,160 --> 00:14:43,080 +هذا كله، نعمل تفصيلاً، عيدها على السريع، + +141 +00:14:53,480 --> 00:14:58,540 +فهو بيقول لي هاي الـ Curl، بعد ما جاب الـ Curl، جاب dS، + +142 +00:14:58,540 --> 00:15:02,500 +وجاب الـ surface integral of the Curl، وطلعوا + +143 +00:15:02,500 --> 00:15:07,780 +النتيجة 4/3، زي ما عملناها، تمام؟ الآن + +144 +00:15:07,780 --> 00:15:11,020 +بالنسبة للـ line integral، جالي bottom و right و top + +145 +00:15:11,020 --> 00:15:15,940 +و left، وبالتالي along the bottom side x صفر، وz + +146 +00:15:15,940 --> 00:15:20,980 +صفر، تمام؟ طلعها واحد، along the top side + +147 +00:15:23,450 --> 00:15:27,230 +x صفر، وz واحد، لكن الـ x ضيّعها برضه، وطلع سالب واحد، و + +148 +00:15:27,230 --> 00:15:31,130 +واحد، وضيّع التانية، along the right side x صفر، لكن + +149 +00:15:31,130 --> 00:15:35,830 +y واحد، طلعها 4/3، و along the left side + +150 +00:15:35,830 --> 00:15:40,830 +عندك y بتساوي صفر، وبالتالي بتطلع Zero، وطلع + +151 +00:15:40,830 --> 00:15:46,210 +النتيجة 4/3 كمان مرة، أي استفسار؟ إذن هذا + +152 +00:15:46,210 --> 00:15:51,950 +المثال بيفهم النظرية بصورة تطبيقية، مش بصورة رياضية، + +153 +00:15:53,120 --> 00:15:56,120 +زي ما اتفقنا، إثبات النظرية في كتب الـ calculus + +154 +00:15:56,120 --> 00:16:01,540 +موجودة، تمام؟ integration by parts، أذكركم فيه بس + +155 +00:16:01,540 --> 00:16:04,780 +ابحثوا عنه، تكامل بالتجزئة، + +156 +00:16:06,090 --> 00:16:10,230 +by parts، طبعاً كلنا بنعرف إنه احنا الـ integration + +157 +00:16:10,230 --> 00:16:13,130 +by parts إيجابه من وين؟ بيقول إن أنا لو بدي أفاضل + +158 +00:16:13,130 --> 00:16:17,010 +two functions، بيساوي الأول في تفاضل الثاني زائد + +159 +00:16:17,010 --> 00:16:21,130 +خلينا نقول الثاني في تفاضل الأول، مظبوط ولا لأ؟ + +160 +00:16:21,130 --> 00:16:25,910 +هذه معروفة، قال integrate both sides، كامل طرفي + +161 +00:16:25,910 --> 00:16:29,870 +المعادلة، كامل، two، لما أكامل طرفي المعادلة زي ما + +162 +00:16:29,870 --> 00:16:33,730 +تشوفوا، بيصير عندي using the fundamental theorem + +163 +00:16:33,730 --> 00:16:38,150 +of calculus اللي احنا أخذناها، إيش بيصير عندك؟ + +164 +00:16:38,150 --> 00:16:46,350 +بتقول لي هذا بيساوي تكامل من a لـ b لـ f dg/dx، هذه + +165 +00:16:46,350 --> 00:16:53,470 +ما هي عبارة عن f(g(b)) ناقص f(g(a))، وبالتالي + +166 +00:16:53,470 --> 00:16:54,850 +f(g) من b لـ a، + +167 +00:16:59,700 --> 00:17:06,760 +أطلع جوانب الـ Sprint أنا + +168 +00:17:06,760 --> 00:17:19,940 +حاطه صامت، شكله + +169 +00:17:19,940 --> 00:17:23,200 +هيك، + +170 +00:17:34,430 --> 00:17:39,870 +فبتصير هذه f(g) ناقص g(f) dx، واحنا عارفينها، وهذه أثبتت + +171 +00:17:39,870 --> 00:17:45,250 +زمان في الـ by parts، وطبعاً عشان نستخدمها بسرعة أكيد + +17 + +223 +00:22:05,600 --> 00:22:09,660 +بتجيبلي أي volume، كل الـ volume الـ universe كله + +224 +00:22:09,660 --> 00:22:14,220 +فلما تقول لي أنت تعملي تكاملات زي هيك من نقص مالا نهاية + +225 +00:22:14,220 --> 00:22:17,000 +لنهاية مالا نهاية، نهاية من نقص مالا نهاية، نهاية لـ + +226 +00:22:17,000 --> 00:22:21,460 +نقص مالا نهاية، نهاية لـ ونقول لي dx dy dz بتجيب لي + +227 +00:22:21,460 --> 00:22:26,720 +أي volume، هذا كل الدنيا، هكذا أنت لم تستثنِ؟ لأ كله + +228 +00:22:26,720 --> 00:22:33,300 +جاء معك طيب، جالي x و y و z دائماً بتظبط، بقول و + +229 +00:22:33,300 --> 00:22:36,860 +الله مرات صح، بتظبطش، أديكم مثال، مثال، التوي الشباب + +230 +00:22:36,860 --> 00:22:44,140 +جابوا واحد، أنت قلت لي هذا الـ surface، نفترض أن هذا + +231 +00:22:44,140 --> 00:22:50,340 +z كيف اتجاهه؟ بقول لك لا k، لا سالب k، صح؟ انفجأنا، طب + +232 +00:22:50,340 --> 00:22:53,200 +طالب صراحة، جالي، طب الكرة كيف بتعمل تجاه سطح + +233 +00:22:53,200 --> 00:23:00,900 +الكرة؟ x ولا y ولا z؟ قاعد يخبصوا الشباب اللي + +234 +00:23:00,900 --> 00:23:06,750 +حواليه، كل واحد يقول شغلة، ما بتظبطش، لا بتظبط x ولا + +235 +00:23:06,750 --> 00:23:11,110 +بتظبط y ولا بتظبط z، ليش؟ بقول يا هيها هنا غير عن + +236 +00:23:11,110 --> 00:23:14,850 +هنا، غير عن هنا، غير عن هنا، وكله surface زي ما أقول + +237 +00:23:14,850 --> 00:23:20,450 +هنا ولا هنا ولا هنا ولا هنا، كله k ولا لأ، كله k لكن + +238 +00:23:20,450 --> 00:23:25,650 +في الكرة حطوا نقاط مختلفة، على سطح الكرة، كله نفس + +239 +00:23:25,650 --> 00:23:30,640 +الاتجاه، مش نفس الاتجاه، إذا صارت لو كنت أستخدم الـ + +240 +00:23:30,640 --> 00:23:34,560 +Cartesian coordinates عملية معقدة وصعبة، وكيف + +241 +00:23:34,560 --> 00:23:37,960 +نتعامل معها تمام؟ وأنا ليش الـ coordinates اللي + +242 +00:23:37,960 --> 00:23:41,420 +بستخدمها في الـ physics عشان أتريحني، عشان أقول + +243 +00:23:41,420 --> 00:23:45,380 +والله هذه x تبعتها خمسة متر، أتخيلها، و y تبعتها + +244 +00:23:45,380 --> 00:23:48,580 +ثلاثة متر، أتخيلها، مظبوط ولا لأ؟ إذا الـ coordinates + +245 +00:23:48,580 --> 00:23:52,640 +اللي وضعت عشان أتريحني، مش أتعقد مسألتي، قالوا هو الـ + +246 +00:23:52,640 --> 00:23:57,840 +x والـ y والـ z قرآن؟ نقوله مش قرآن، طب يالا نغيرها + +247 +00:23:59,220 --> 00:24:01,260 +قالوا إذا بدنا نعمل coordinates غير الـ + +248 +00:24:01,260 --> 00:24:04,160 +Cartesian coordinates، إيش فيه؟ قالوا إيش أنتم + +249 +00:24:04,160 --> 00:24:06,780 +مشهورين عنكم في الفيزياء، نفترض؟ قالوا والله دائماً + +250 +00:24:06,780 --> 00:24:10,920 +بيرخمونا كرة وأسطوانة، كرة أو أسطوانة، صح ولا لأ؟ + +251 +00:24:10,920 --> 00:24:16,140 +هيك الأشكال، قالوا إذا بدنا نعمل محاور كروية و + +252 +00:24:16,140 --> 00:24:21,600 +محاور أسطوانية، إيش هي الكرة؟ قال أنت بتقول لي x و y + +253 +00:24:21,600 --> 00:24:26,640 +و z، متخيلهم؟ بقولوا ما تتخيلهم x و y و z زي ما + +254 +00:24:26,640 --> 00:24:30,940 +تعرفناهم، أفقي وعمودي و out و in، صح ولا لأ؟ قالوا + +255 +00:24:30,940 --> 00:24:34,700 +يلا بدي .. إيش هي x y و z هم في الـ Cartesian؟ قال + +256 +00:24:34,700 --> 00:24:39,020 +x و y و z متغيرات بحيث إن الجسم لما يمشي في الفراغ + +257 +00:24:39,020 --> 00:24:42,520 +x تبعته و y تبعته و z تبعته تتغير من مكان لمكان + +258 +00:24:42,520 --> 00:24:46,800 +ولا لأ؟ بدي ثلاث متغيرات بدل x y و z، قالوا نجي + +259 +00:24:46,800 --> 00:24:51,160 +للكرة، بدنا حاجة كروية، قال أنت ماشي، نفترض شكل + +260 +00:24:51,160 --> 00:24:57,640 +كروي وأنت بدك تمشي جوا هالحجم، طبعاً نجي أول، بدك + +261 +00:24:57,640 --> 00:25:01,260 +تمشي من هنا وتطلع برا، إيش بتغير قاعد معك؟ بتغير + +262 +00:25:01,260 --> 00:25:06,010 +بعدك عن الـ origin، r نصف قطر الكرة، الكرة هذه ممكن + +263 +00:25:06,010 --> 00:25:09,070 +تكون صغيرة وممكن تكون كبيرة وأكبر وأكبر، إيش + +264 +00:25:09,070 --> 00:25:13,170 +بتفرق عن واحدة عن واحدة؟ نصف قطرها، إذا قالوا بعد + +265 +00:25:13,170 --> 00:25:17,370 +الجسم عن الـ origin، هاي أول متغير، اللي هو r، + +266 +00:25:17,370 --> 00:25:22,110 +تمام؟ اللي هو r، قال حلو، طيب، يجي، اتخيلوا كمان + +267 +00:25:22,110 --> 00:25:25,730 +مرة الكرة، واحد هنا وواحد هنا، إيش بيفرقوا عن + +268 +00:25:25,730 --> 00:25:29,710 +بعض؟ بأنه على السطح الخارجي، إيه اللي هو نفس الـ r؟ + +269 +00:25:29,920 --> 00:25:34,940 +صح، نفضل على السطح الخارجي للكرة، هنا أو هنا، نفس + +270 +00:25:34,940 --> 00:25:39,900 +الـ r، والله واحد، لكن هل هذه النقطة هي هذه النقطة؟ + +271 +00:25:39,900 --> 00:25:45,880 +ما بنفعش، إيش بيفرق؟ قالوا خلّينا نعمل r هادي و r هادي + +272 +00:25:45,880 --> 00:25:49,340 +هادي r أقرب على الـ axis هذا، هادي r أبعد، إذا + +273 +00:25:49,340 --> 00:25:53,940 +خلّينا نجيب زاوية نميز فيها نقطة عن نقطة، اتفقنا؟ + +274 +00:25:53,940 --> 00:25:57,180 +إذا الشيء هذه الزاوية، قالوا خلّوها θ وعرفوها هي + +275 +00:25:57,180 --> 00:25:59,660 +الزاوية اللي بيعملها r مع الـ z axis، عدّي مكتوبة + +276 +00:25:59,660 --> 00:26:07,880 +مكتوبة، مكتوبة، r بيعمل زاوية، أرسمها بمرة، إذن هي θ + +277 +00:26:07,880 --> 00:26:12,840 +جالي هي النقطة، هي بعدها عن الـ origin هذه r، جالي + +278 +00:26:12,840 --> 00:26:16,460 +هذه الزاوية بتفرق عن النقطة، هذه بتفرق عن النقطة + +279 +00:26:16,460 --> 00:26:22,300 +هذه، مع أنه الثلاثة لهم نفس الـ r، صحيح؟ لكن هذه θ + +280 +00:26:22,300 --> 00:26:27,720 +أقل من هذه، أقل من هذه، تمام، جالي برضه بتكفيش، كيف + +281 +00:26:27,720 --> 00:26:33,900 +بتكفيش؟ بقول له حلو، هي هدول، هي الـ origin، في اختلاف + +282 +00:26:33,900 --> 00:26:40,670 +على أن هدول نفس الطول؟ نفس الطول، هدول الـ عملهم + +283 +00:26:40,670 --> 00:26:45,790 +هيك بالظبط نفس، طب، جيس، الزاوية وهي الـ z-axis، هذه + +284 +00:26:45,790 --> 00:26:49,550 +طلعت ثلاثين، وهذه ثلاثين، طب هذه نقطة هنا، نفس النقطة + +285 +00:26:49,550 --> 00:26:54,250 +هذه، إذا بدي متغير ثالث، قال إيش أسوي؟ قال هدول + +286 +00:26:54,250 --> 00:27:00,430 +أسقطهم على الأرض، أسقطهم، صارت نقطة هنا ونقطة هنا، هذه + +287 +00:27:00,430 --> 00:27:05,110 +أقرب عن المحور هذا، وهذه أبعد شوية، إذا بديك كمان + +288 +00:27:05,110 --> 00:27:12,990 +زاوية بيعملها إسقاط الـ vector مع الـ x-axis، هذه φ + +289 +00:27:12,990 --> 00:27:21,230 +أعيد؟ أعيد، أنا الـ origin تبعي هيه، الجرنة هذه + +290 +00:27:21,230 --> 00:27:27,470 +اتفقنا؟ جيت، هي نقطة، هذه النقطة عشان تكون unique + +291 +00:27:27,470 --> 00:27:34,440 +بدها ثلاث شغلات تتعرف بها، بعدها، لأنه في أكثر من + +292 +00:27:34,440 --> 00:27:39,980 +نقطة لها نفس البعد، إذا هاي واحدة، اثنين، الزاوية + +293 +00:27:39,980 --> 00:27:45,260 +اللي بتعملها مع الـ z axis، برضه بتكفيش، لأنه في ممكن + +294 +00:27:45,260 --> 00:27:49,980 +يكون أكثر زي هدول، تمام؟ زي ما عملت أنا هيك، هاي + +295 +00:27:49,980 --> 00:27:52,640 +هادي الزاوية، وهادي الزاوية، حتكون واحدة، جيل، إذا + +296 +00:27:52,640 --> 00:27:57,580 +ثالث شغلة، أسقطها، هادي النقطة، أسقطها على الأرض، لما + +297 +00:27:57,580 --> 00:28:00,800 +تسقطها على الأرض، تنزل على الأرض، هذه لما تنزل على + +298 +00:28:00,800 --> 00:28:05,580 +الأرض، بتكون عملت زاوية مع الحيطة هذه، هذه الزاوية + +299 +00:28:05,580 --> 00:28:13,110 +هي φ، إذا متغيراتي الثلاثة الآن، r، و θ، و φ، r is + +300 +00:28:13,110 --> 00:28:17,230 +the distance from the origin، كيف بدك تغيرها؟ بقول له + +301 +00:28:17,230 --> 00:28:20,450 +أنت بتقول من الـ origin، دائماً بدي أبدأ من الـ origin + +302 +00:28:20,450 --> 00:28:25,290 +إذا بدك تبدأ من الـ zero و تروح على مالا نهاية، اه + +303 +00:28:25,290 --> 00:28:28,430 +أنا هنا، هنا في غزة، قلت أنا بدي اللي هنا واللي + +304 +00:28:28,430 --> 00:28:31,750 +هنا، وقلت من نقص مالا نهاية، لمالا نهاية، جيت أنا من + +305 +00:28:31,750 --> 00:28:35,270 +هنا، وضلك ماشي إلى مالا نهاية، طب واللي وراك؟ قال لك + +306 +00:28:35,270 --> 00:28:39,580 +اللي بيجيبه الزوايا، اللي بيجيب الزوايا، إذا r تبدأش + +307 +00:28:39,580 --> 00:28:42,740 +إلى من وين؟ من الـ zero، كيف بدي أرجع؟ أقول لك لف، + +308 +00:28:42,740 --> 00:28:47,500 +بتجيب اللي وراك، كيف بقي تلف؟ θ، صحيح ولا لأ؟ + +309 +00:28:47,500 --> 00:28:53,620 +تمام، جيت؟ r من هنا لمالا نهاية، θ قال لي ابدأ + +310 +00:28:53,620 --> 00:29:00,020 +من هون وضلك ماشي لهيك، إيش صار هذا؟ من صفر لـ 2π، من + +311 +00:29:00,020 --> 00:29:04,850 +صفر لـ 2π، إذا θ بتتغير من صفر لـ 2π، حلو، هذا + +312 +00:29:04,850 --> 00:29:09,110 +غطيت، وهذا غطيت، وهذا، قال لي شوف، في لفّة 360 درجة، + +313 +00:29:09,110 --> 00:29:13,790 +لما لفّة 360 درجة هذا بيجي، وهو لافف بيجيب كلها + +314 +00:29:13,790 --> 00:29:21,250 +كونت الكرة، اتكونت الكرة، لما تشوف θ تغيرك منها + +315 +00:29:21,250 --> 00:29:25,950 +لهان، بدي القوس هذا، خلي القوس هذا يلف لفة كاملة، صار + +316 +00:29:25,950 --> 00:29:29,850 +في عندك كرة ولا لأ، فهذه هي الكرة كاملة، إذا φ + +317 +00:29:29,850 --> 00:29:37,090 +تتغير من zero لـ 2π، بيقول لي θ بيسموها الـ + +318 +00:29:37,090 --> 00:29:42,210 +polar angle، هي الزاوية اللي بيعملها r مع الـ z axis، + +319 +00:29:42,210 --> 00:29:48,120 +وبتتغير من صفر لـ π، شايفين θ؟ بتتغير من صفر + +320 +00:29:48,120 --> 00:29:51,480 +بتبدأ النقطة هذه، لو كانت هنا بتقول صفر، ولو كانت + +321 +00:29:51,480 --> 00:29:56,300 +هنا بتقول π، من صفر لـ π بس مش لـ 2π + +322 +00:29:56,300 --> 00:30:05,780 +بنتعملش، لأنه بتصير بتعمليه كرتين، احكي الزاوية + +323 +00:30:05,780 --> 00:30:08,340 +بين r و z axis، زاوية + +324 +00:30:15,830 --> 00:30:27,310 +اه، حلو، حلو، البعد بديك حلو، شايف + +325 +00:30:27,310 --> 00:30:31,690 +رأس هذا، وان كان؟ رأس الازرق هنا، تمام، وهذا هنا + +326 +00:30:31,690 --> 00:30:36,190 +جيس، الزاوية لهذه النقطة، و لهذه النقطة مع الـ z + +327 +00:30:36,190 --> 00:30:40,110 +axis، احكي + +328 +00:30:40,110 --> 00:30:43,390 +يا نور، تختلف عن بعض؟ + +329 +00:30:46,460 --> 00:30:50,800 +نفس الزاوية؟ هاي الـ z-axis، هاي الـ z-axis، نفس + +330 +00:30:50,800 --> 00:31:00,200 +الزاوية؟ طيب هذه بعدها عن الـ origin زي هذه؟ جوابتك + +331 +00:31:00,200 --> 00:31:05,900 +هيك؟ مش حتقول .. بتقول كيف بعدين مختلفين ونفس + +332 +00:31:05,900 --> 00:31:08,340 +الزاوية؟ هاي بعدين مختلفين ونفس الزاوية + +333 +00:31:13,430 --> 00:31:18,830 +هذه زي θ لهذه، و θ لهذه، واحدة يعني، وكأنك بتقول لي + +334 +00:31:18,830 --> 00:31:25,450 +النقطة الزرقاء ثلاثين درجة، نفترض أربعين درجة، + +335 +00:31:25,450 --> 00:31:33,890 +الثاني خمسة وثلاثين درجة، نفترض أربعين درجة، واحدة + +336 +00:31:33,890 --> 00:31:39,930 +أكثر من الثانية، أو ستة، حسب، عشان أحدد نقطة بيدي ثلاث + +337 +00:31:39,930 --> 00:31:44,890 +محاور، ثلاث مركبات، واحدة، اثنين، ثلاثة، واحدة منهم بعد + +338 +00:31:44,890 --> 00:31:49,630 +بالمتجه، والثاني اثنين زوايا، جوابتك؟ + +339 +00:31:49,630 --> 00:31:55,510 +ولو أنت بديك الزاوية الثانية، إذا هاي الاثنين + +340 +00:31:55,510 --> 00:31:59,010 +إحداثيات تبعتهم مختلفة، لكن الزاوية واحدة، لأنهم على + +341 +00:31:59,010 --> 00:32:05,170 +نفس الخط، وبالتالي الزاوية واحدة للـ اثنين، غيرها + +342 +00:32:12,930 --> 00:32:16,650 +إذا نقول θ بيسموها الـ Polar Angle، وعرفتها هي + +343 +00:32:16,650 --> 00:32:20,090 +الزاوية اللي بيعملها r مع الـ z axis، هذا تعريف زي + +344 +00:32:20,090 --> 00:32:25,090 +لما أقول الـ x أفقي، ما هو تعريف، صحيح ولا لأ؟ φ + +345 +00:32:25,090 --> 00:32:29,590 +اللي بيسموها الـ Azimuthal Angle، is the angle + +346 +00:32:29,590 --> 00:32:33,270 +between the projection of r، هي الزاوية اللي + +347 +00:32:33,270 --> 00:32:37,530 +بيعملها إسقاط r على الـ xy plane، إسقاط r، نرجع على + +348 +00:32:37,530 --> 00:32:42,410 +الـ هيو، كيف بده يجيب φ؟ جلس جابها على الأرض، + +349 +00:32:42,410 --> 00:32:48,610 +عملها هيك، الحاجة هذه بتعمل زاوية مع المحور هذا، على + +350 +00:32:48,610 --> 00:32:51,950 +اعتبار هو الـ x، هي φ، إذن هذه r، إسقاطها على + +351 +00:32:51,950 --> 00:32:57,150 +الأرض، إسقاطها على الأرض، وبالتالي هذه هي φ، + +352 +00:32:57,150 --> 00:33:01,210 +وبتتغير من صفر لـ 2π، من صفر لـ 2π + +353 +00:33:06,640 --> 00:33:11,300 +لو أعطيتكم أي نقطة بثلاث متغيرات، بعد وزاويتين، + +354 +00:33:11,300 --> 00:33:17,720 +تتخيلوا أجيبوها ولا لأ، أرجع + +355 +00:33:17,720 --> 00:33:25,600 +أقول خمسة، وخلّيني أقول π/4، أو بلاش الـ + +356 +00:33:25,600 --> 00:33:32,060 +π هادي، خلّيني أقول ثلاثين درجة وستين درجة، كيف + +357 +00:33:32,060 --> 00:33:35,320 +بدي أحدد هذه النقطة؟ لازم تكون unique ولا نقطة + +358 +00:33:35,320 --> 00:33:44,650 +ثانية تشبهها، هكذا، الأصل أول + +359 +00:33:44,650 --> 00:33:48,550 +.. أول حاجة أعملها وأقول لكم إيه؟ أحدد الستين درجة، + +360 +00:33:48,550 --> 00:33:55,630 +بقول هاي ستين .. مظبوط ولا لأ؟ هذه ستين عشان + +361 +00:33:55,630 --> 00:34:02,550 +تطلع، وبدي الآن أطلع فوق وأظل أمشي في الفوق لما + +362 +00:34:02,550 --> 00:34:08,160 +تصير هذه المسافة خمسة، والزاوية هذه ثلاثين، فبحددها + +363 +00:34:08,160 --> 00:34:13,800 +على طول، أو بقول على طول five meter، جيت، هي five + +364 +00:34:13,800 --> 00:34:18,260 +meter، حلو، جيت، بدي أشتغل، أجي أسقط الزاوية هذه لما + +365 +00:34:18,260 --> 00:34:22,100 +تظبط معايا، وأروح هيك ولا أروح هيك، لما أسقط وأشوف + +366 +00:34:22,100 --> 00:34:25,580 +الزاوية ستين، لما تظبط معايا، وساعتها تحدد + +367 +00:34:25,580 --> 00:34:32,050 +النقطة uniquely، هنعملها مئة مرة، ما تخافوش، حتخش + +368 +00:34:32,050 --> 00:34:35,130 +المعلومة شوية شوية، هذه الوهلة الأولى، هذه الـ + +369 +00:34:35,130 --> 00:34:37,570 +spherical coordinates، هذه الـ spherical + +370 +00:34:37,570 --> 00:34:43,990 +coordinates، سؤالي الآن لكم، dl + +371 +00:34:43,990 --> 00:34:54,750 +بتساوي dxi ذات dyj ذات dzk، مظبوط ولا لأ؟ حلو، لما + +372 +00:34:54,750 --> 00:35:01,020 +أنا قلت ds، قلت dx dy، وين بتكون اتجاه الثالثة؟ dx dy + +373 +00:35:01,020 --> 00:35:08,580 +كيف اتجاهها؟ لأ، k، لا سالب k، صح ولا لأ؟ طيب، الآن في + +374 +00:35:08,580 --> 00:35:16,300 +أي surface لازم يكون الثالث ثابت ولا لأ؟ هاي الـ x + +375 +00:35:16,300 --> 00:35:20,880 +وهي الـ y، هاي الـ x وهي الـ y، دي اصل الحيطة دي، جدّيش + +376 +00:35:20,880 --> 00:35:28,340 +dx dy، إيه خبر الـ z؟ لأ، صفر لعشرة، صح؟ بيكون ثابت، إذا + +377 +00:35:28,340 --> 00:35:32,100 +دائماً على الـ surface في شغلة ثالثة لازم تكون ثابتة، صح + +378 +00:35:32,100 --> 00:35:36,220 +ولا لأ؟ لأي surface؟ في coordinates الثالثة، لأن الـ + +379 +00:35:36,220 --> 00:35:38,240 +surface two dimensions، طب، وين الثالثة؟ بيكون + +380 +00:35:38,240 --> 00:35:42,080 +ثابت، له قيمة معينة، طب الآن سؤالي لكم، بالـ + +381 +00:35:42,080 --> 00:35:47,820 +spherical coordinates، السطح الخارجي للكرة، طول ما + +382 +00:35:47,820 --> 00:35:52,000 +أنتم ماشيين على الكرة، على سطحها الخارجي، إيش ثابت؟ + +383 +00:35:53,380 --> 00:35:56,860 +معناه أنتم شوفوا المتغير دي، θ، و دي φ، دي θ + +384 +00:35:56,860 --> 00:36:04,480 +و دي φ، قد ما نزيفها، واضح؟ دي θ و دي φ، طب سؤال + +385 +00:36:04,480 --> 00:36:08 + +445 +00:40:54,690 --> 00:41:01,190 +مركبة وهذه مركبة هذه R Sin θ Cos φ وهذه R Sin θ + +446 +00:41:18,280 --> 00:41:21,000 +بانت؟ شوفت مرات من واحد اللي ما بده يجيب صورة + +447 +00:41:21,000 --> 00:41:25,040 +معينة أو تكون مغبشة بتوضح شوية شوية، هي لسه مغبشة + +448 +00:41:25,040 --> 00:41:31,900 +بدأت شوية توضح انفك القط ولا لسه؟ + +449 +00:41:31,900 --> 00:41:36,680 +لسه، مش شايفين هي ولد من بريد صح ولا لأ، لسه مش + +450 +00:41:36,680 --> 00:41:41,100 +بانت طب إنسان ولا حيوان؟ بانت إن إنسان على قل + +451 +00:41:44,690 --> 00:41:49,350 +إذا X بيساوي R Sine Theta Cos Phi و Y بيساوي R Sine + +452 +00:41:49,350 --> 00:41:57,910 +Theta Sine Phi و Z بيساوي R Cos Theta و Z + +453 +00:41:57,910 --> 00:42:01,130 +بيساوي R Sine Theta Sine Phi و Z بيساوي R Sine Theta + +454 +00:42:01,130 --> 00:42:01,670 +Sine Phi و Z بيساوي R Sine Theta Sine Phi و Z بيساوي + +455 +00:42:01,670 --> 00:42:01,710 +Phi و Z بيساوي R Sine Theta Sine Phi و Z بيساوي R + +456 +00:42:01,710 --> 00:42:04,150 +Sine Theta Sine Phi و Z بيساوي R Sine Theta Sine + +457 +00:42:04,150 --> 00:42:07,370 +Phi و Z بيساوي R Sine Theta Sine Phi و Z بيساوي R + +458 +00:42:07,370 --> 00:42:09,330 +Sine Theta Sine Phi و + +459 +00:42:13,560 --> 00:42:22,940 +مسقطة، عارفة عليك سوي بلين براو عليكي حلليها + +460 +00:42:22,940 --> 00:42:30,420 +هالجيت هادي هادي كوساين الفاي مش هادي بتطلع exactly + +461 +00:42:30,420 --> 00:42:33,840 +بين + +462 +00:42:33,840 --> 00:42:34,100 +هي + +463 +00:42:37,710 --> 00:42:40,950 +هذا هو المسقطة، بين المسقطة والـ x-axis هي الزاوية + +464 +00:42:40,950 --> 00:42:44,270 +فيه، هالجيت هادي لما تحللي ما تقولي كوساين الزاوية + +465 +00:42:44,270 --> 00:42:50,270 +هادي، وهنا ساينها آه بين مسقطة ال vector بين نقطة + +466 +00:42:50,270 --> 00:42:56,810 +الـ X و بين ال vectors بين + +467 +00:42:56,810 --> 00:43:01,390 +مسقطة ال vector هذا هو مسقطة هذا ال vector مسقطة + +468 +00:43:01,390 --> 00:43:03,850 +ال vector و مش ال vector لأن ال vector فوق أصلا ال + +469 +00:43:03,850 --> 00:43:07,250 +vector R كمان غيرها غيرها أسئلة + +470 +00:43:11,390 --> 00:43:15,650 +إيش اللي مش واضح؟ + +471 +00:43:15,650 --> 00:43:20,250 +طيب سؤالي إيه لكم؟ لو واحد قال X تربيع زي Y تربيع + +472 +00:43:20,250 --> 00:43:26,290 +زي Z تربيع، إيش تتوقع يطلع؟ لو واحد قال لكم X + +473 +00:43:26,290 --> 00:43:32,570 +تربيع زي Y تربيع زي Z تربيع، إيش لازم يطلع؟ صح، + +474 +00:43:32,570 --> 00:43:36,670 +بيطلع شفوي، تخيلوا + +475 +00:43:38,640 --> 00:43:42,700 +ربعوا هذا وربعوا هذا مش بيطلع sin تربيع cos تربيع + +476 +00:43:42,700 --> 00:43:47,560 +sin تربيع sin تربيع، هالـ sin تربيع sin تربيع و + +477 +00:43:47,560 --> 00:43:50,580 +الـ R تربيع طلعوه برة، بصي عينكم cos تربيع الفاي زي + +478 +00:43:50,580 --> 00:43:55,000 +الـ sin تربيع الفاي واحد، إذا جمع هدول الـ X تربيع زي + +479 +00:43:55,000 --> 00:44:01,220 +الـ Y تربيع بيطلع R تربيع sin تربيع الثيتا صح؟ ربع + +480 +00:44:01,220 --> 00:44:06,840 +الـ Z تربيع، الـ Z تربيع R تربيع cos تربيع الثيتا + +481 +00:44:06,840 --> 00:44:15,850 +جمعوهم، ر تربيع بيها زبطت تمام؟ + +482 +00:44:15,850 --> 00:44:19,670 +حلو + +483 +00:44:19,670 --> 00:44:27,810 +جاليها، لسه ما فكناش الخط، يا وردي جدش هنستخدم هذه + +484 +00:44:27,810 --> 00:44:30,630 +الـ spherical coordinates، هلخمكم حقي، هتخفوش + +485 +00:44:30,630 --> 00:44:32,130 +هنستخدمها كتير + +486 +00:44:35,180 --> 00:44:40,120 +طيب الآن بعد أنك قلت لي x و y و z، وإحنا أخدنا + +487 +00:44:40,120 --> 00:44:42,760 +ال vectors، قلنا عشان أكتب ال vector صح بدي unit + +488 +00:44:42,760 --> 00:44:47,920 +vectors، كل unit vector ملزق بالـ axis تبعه، الـ I + +489 +00:44:47,920 --> 00:44:52,960 +ملزق بأي vector؟ بأي axis؟ بالـ X و الـ J و الـ K؟ + +490 +00:44:52,960 --> 00:44:57,400 +حلو، طيب أنا خلصت راحة ده في X ولا Y ولا Z روحه صار + +491 +00:44:57,400 --> 00:45:00,000 +عندك arrow feet of I، إذا بدي unit vector إيه جيتها + +492 +00:45:00,000 --> 00:45:06,760 +كل واحد ملزق بالـ axis تبعه، اتجاه الـ I باتجاه زيادة + +493 +00:45:06,760 --> 00:45:10,880 +الـ X ولا لأ؟ واتجاه الـ J باتجاه زيادة الـ Y؟ + +494 +00:45:10,880 --> 00:45:14,620 +واتجاه الـ K باتجاه زيادة الـ Z؟ جالي نفس العملية + +495 +00:45:14,620 --> 00:45:17,760 +طب بدك تدّي رموز الـ G ده قالوا لأ بعد كده فاطو + +496 +00:45:17,760 --> 00:45:20,660 +قالوا بنفس ده اتو رموز، وعشان كده قولتلكم من زمان + +497 +00:45:20,660 --> 00:45:26,190 +أن الـ I بطل يقولوها A يقولوها X مظبوط ولا لأ؟ عشان + +498 +00:45:26,190 --> 00:45:28,830 +ما دولاش يدوروا ع رموز، قالهم هاي الـ X من جنسها + +499 +00:45:28,830 --> 00:45:33,510 +قال لي طب الـ R، قال لي الـ unit vector تبع الـ R هات و + +500 +00:45:33,510 --> 00:45:40,390 +تبع الثيتا فيتا هات و الفاي فاي هات، إذا هاي ال + +501 +00:45:40,390 --> 00:45:45,510 +unit vectors، كل axis له unit vector خاص بيه عشان + +502 +00:45:45,510 --> 00:45:50,850 +أفتج اتجاهه، تمام زي ما عملت في الـ Cartesian الـ + +503 +00:45:50,850 --> 00:45:54,370 +Unit Vector باتجاه زيادة الـ Axis، قولولي كيف اتجاه + +504 +00:45:54,370 --> 00:45:58,370 +زيادة الـ R؟ + +505 +00:45:58,370 --> 00:46:03,070 +آه، هيك، طب عنده النقطة هذه، الأحمر اللي كاتبه + +506 +00:46:03,070 --> 00:46:08,590 +باتجاه زيادة الـ R ولا لأ؟ هيك بزيادة الـ R، هاي الـ R + +507 +00:46:08,590 --> 00:46:18,370 +Unit Vector مظبوط ولا لأ؟ اتفجنا، خلينا نقول الـ I + +508 +00:46:19,560 --> 00:46:22,540 +دائما شرق، على اعتبار إنه مش هيك، مظبوط ولا لأ؟ + +509 +00:46:22,540 --> 00:46:26,600 +دائما شرق، عشان كده بنقول الـ I is constant + +510 +00:46:26,600 --> 00:46:30,780 +magnitude و direction، لأنه magnitude وقداش؟ واحد، و + +511 +00:46:30,780 --> 00:46:35,440 +ال direction ثابتة، وضبط ماشي، الـ R unit vector قداش + +512 +00:46:35,440 --> 00:46:39,460 +magnitude؟ مش هو unit vector؟ ليه سموه unit + +513 +00:46:39,460 --> 00:46:46,140 +vector؟ عشان مقداره ثابت، فهو واحد، إذا هو + +514 +00:46:46,140 --> 00:46:49,860 +constant in magnitude، لكن تطلعوا عليها، هاي R وهاي + +515 +00:46:49,860 --> 00:46:53,140 +R، هتقول نفس ال direction؟ إذا مش ثابت ال + +516 +00:46:53,140 --> 00:46:58,220 +direction، إذا الـ R ليس constant، الـ I و الـ J و الـ + +517 +00:46:58,220 --> 00:47:01,500 +K are constants in magnitude and direction، لكن الـ + +518 +00:47:01,500 --> 00:47:06,060 +R hat مش ثابت، وإن كان ال magnitude تبعه ثابت + +519 +00:47:06,060 --> 00:47:09,340 +وبواحد، لكن ال direction تبعه مش ثابت + +520 +00:47:11,930 --> 00:47:16,250 +نور مش عاجبها، مستوعبة؟ + +521 +00:47:16,250 --> 00:47:23,130 +أكيد، تمام، كل + +522 +00:47:23,130 --> 00:47:27,110 +الـ theta هو الـ X و الـ Y و الـ Z إيش لازم يكونوا + +523 +00:47:27,110 --> 00:47:30,310 +علاقتهم مع بعض؟ متعاندين ولا مش متعاندين؟ هم + +524 +00:47:30,310 --> 00:47:35,590 +متعاندين، طيب الـ theta كيف بالـ Z؟ + +525 +00:47:35,590 --> 00:47:40,330 +نرجع، تخيلوا فرطكم من الرسمة، هاي الـ R هذا رايح + +526 +00:47:40,330 --> 00:47:45,790 +لهناك، هاي الـ θيتا، مظبوط؟ كيف تزيد الـ θيتا؟ يعني + +527 +00:47:45,790 --> 00:47:51,390 +هيك، عشان تكون عمودي على R لازم تكون هيك، هاي + +528 +00:47:51,390 --> 00:47:58,570 +عموديين على بعض، فصارت هذه R وهذه الـ θيتا، عشان تكون + +529 +00:47:58,570 --> 00:48:02,510 +عموديين، حاجات ما هي لا هيك لا هيك هيك هيك هيك هيك + +530 +00:48:02,510 --> 00:48:07,170 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +531 +00:48:07,170 --> 00:48:08,130 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +532 +00:48:08,130 --> 00:48:08,150 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +533 +00:48:08,150 --> 00:48:10,070 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +534 +00:48:10,070 --> 00:48:10,670 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +535 +00:48:10,670 --> 00:48:10,810 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +536 +00:48:10,810 --> 00:48:13,310 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +537 +00:48:13,310 --> 00:48:21,730 +هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك هيك + +538 +00:48:21,730 --> 00:48:24,130 +هيك هي + +539 +00:48:33,430 --> 00:48:36,630 +برضه هنتخيلهم مع بعض كتير، The unit vectors + +540 +00:48:36,630 --> 00:48:39,730 +associated + +541 +00:48:39,730 --> 00:48:43,290 +with the spherical coordinates are related to the + +542 +00:48:43,290 --> 00:48:46,090 +responding unit vectors in the Cartesian + +543 +00:48:46,090 --> 00:48:53,750 +coordinates as R، و θيتا و فاي، هدول الحلوين بقدر + +544 +00:48:53,750 --> 00:48:56,750 +أكتبهم بدلالة الـ I و الـ J و الـ K اللي أنا فاهمهم + +545 +00:48:56,750 --> 00:49:04,540 +أكتر، بيقولوا يلا بنشوف، هو الـ R unit vector، vector + +546 +00:49:04,540 --> 00:49:10,440 +ولا مش vector؟ والله vector، بقدر أحلله؟ آه، بدي + +547 +00:49:10,440 --> 00:49:13,620 +أحلله في الـ Cartesian Coordinates، هايو مش هيك + +548 +00:49:13,620 --> 00:49:18,340 +الـ R، اتفقنا؟ بدي أحلله، كيف بحل ال vector؟ بقول + +549 +00:49:18,340 --> 00:49:24,360 +مجموعته في Cos الزاوية في مجموعته في Sin الزاوية، + +550 +00:49:24,360 --> 00:49:28,780 +قداش مجموعته، الـ R unit vector؟ واحد، واحد في + +551 +00:49:28,780 --> 00:49:33,240 +كوساين الزاوية باتجاه الـ K، واحد في كوساين الزاوية + +552 +00:49:33,240 --> 00:49:39,530 +بأي اتجاه؟ بين الاتنين، لأن أنا مش قادر أقول لا I + +553 +00:49:39,530 --> 00:49:46,290 +ولا J، لأنه نزل هنا، إذا 1 في cos θ باتجاه الـ K زائد + +554 +00:49:46,290 --> 00:49:51,230 +sin θ ومش قادر أكتب، طب هيك أكمل، قال لي هذا بدي + +555 +00:49:51,230 --> 00:49:57,030 +أحلله كمان مرة، لأنه وجع في النص، إذا sin θ cos φ + +556 +00:49:57,030 --> 00:50:02,190 +باتجاه الـ I زائد sin θ sin φ باتجاه الـ J، أين + +557 +00:50:02,190 --> 00:50:02,890 +كتبته؟ + +558 +00:50:07,700 --> 00:50:23,420 +Vector حلّته، Vector حلّته مش أكتر، هذا + +559 +00:50:23,420 --> 00:50:30,160 +هو الـ Theta دلوقت بس عشان مش مبين، يلّا + +560 +00:50:30,160 --> 00:50:36,440 +يا شطري بدي أحلل الـ Theta، هاي + +561 +00:50:36,440 --> 00:50:42,740 +الـ R وهي الـ Theta، مش هيك اتفجرنا في θ؟ R و θ بدي + +562 +00:50:42,740 --> 00:50:47,540 +أحللها واحدة هيك، والتانية بتجع بين الـ XY ع الشجة + +563 +00:50:47,540 --> 00:50:54,600 +هذه، عيد هذا، بدي أحلل هذا، هذا بدي أحلله، مركبة بتنزل + +564 +00:50:54,600 --> 00:51:01,580 +هنا، حد ينقص إيش؟ ناقص K، ناقص K لأنها بتنزل هيك، طب + +565 +00:51:01,580 --> 00:51:05,420 +والتانية بتجع في الـ XY plane هيك، هذه بدها تتحلل لها + +566 +00:51:05,420 --> 00:51:10,360 +مركبة سينية ومركبة صادية، اللي حللتها لهان بدها + +567 +00:51:10,360 --> 00:51:15,960 +تكون كالتالي، ناقص sin θ لأن الزاوية المتممة صارت + +568 +00:51:15,960 --> 00:51:21,480 +ناقص sin θ باتجاه الـ K اللي لأسفل، cos θ برضه بدي + +569 +00:51:21,480 --> 00:51:29,600 +أحللها، cos φ و cos φ، IOG تمام، والـ Phi .. الـ Phi + +570 +00:51:29,600 --> 00:51:33,740 +قال لي هذه في الـ XY Plane، هذه في الـ XY Plane بس + +571 +00:51:33,740 --> 00:51:38,400 +لأن هي جاية من المسقط، يعني أنا لما أسقطه هذا هيك + +572 +00:51:38,400 --> 00:51:41,860 +هيو، كيف الـ Phi؟ بقوله هي الـ Phi هي زي هذه الـ Phi + +573 +00:51:41,860 --> 00:51:45,640 +هيو، هي الـ Phi، unit vector هذا بدي أحلله، هذا بدي + +574 +00:51:45,640 --> 00:51:48,620 +أحلله، ما لهوش مرتبط، مركبات على الطاولة، على الـ XY + +575 +00:51:48,620 --> 00:51:52,500 +Plane، إله مركبة هيك ومركبة هيك وبس، إذا إله + +576 +00:51:52,500 --> 00:51:59,340 +مركبتين فقط، هعيدهم هدول التنتين هدول بالتفصيل، طيب + +577 +00:51:59,340 --> 00:52:02,700 +واحد يقول طب بدي أحفظهم هدول، بقوله تحفظهمش، بدي + +578 +00:52:02,700 --> 00:52:08,360 +أشتقهم، مش هتشتقهم، بدي أفهمهم، ضروري تفهمهم، ضروري + +579 +00:52:08,360 --> 00:52:11,140 +تفهمهم لأ، هتشتقهم ولا هتحفظهم، عديكي إيه، هم أنا + +580 +00:52:11,140 --> 00:52:16,960 +جاهزين، بس بدي أتخيلهم، بدي أتخيلهم ضروري، يعطيكوا + +581 +00:52:16,960 --> 00:52:17,520 +العافية، لهم diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/JZtFxj_yAZo_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/JZtFxj_yAZo_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..5e11b5aad6384c24810c2c55ac20070a85c246d0 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/JZtFxj_yAZo_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3299, "start": 20.65, "end": 32.99, "text": "المهم أن نكمل اليوم و لا نخلص الحلقة لأن اليوم أخر يوم دوام بسبب إجازة", "tokens": [45340, 16095, 14739, 8717, 24793, 1211, 45595, 20498, 4032, 20193, 8717, 9778, 1211, 9381, 21542, 1211, 28671, 5296, 33456, 45595, 20498, 5551, 34740, 7251, 20498, 11778, 2407, 10943, 4724, 35457, 3555, 11933, 7435, 31377, 3660], "avg_logprob": -0.6453993005885018, "compression_ratio": 1.4, "no_speech_prob": 1.8477439880371094e-06, "words": [{"start": 20.65, "end": 20.95, "word": "المهم", "probability": 0.396881103515625}, {"start": 20.95, "end": 20.99, "word": " أن", "probability": 0.255859375}, {"start": 20.99, "end": 22.39, "word": " نكمل", "probability": 0.7993977864583334}, {"start": 22.39, "end": 23.43, "word": " اليوم", "probability": 0.62420654296875}, {"start": 23.43, "end": 23.67, "word": " و", "probability": 0.1715087890625}, {"start": 23.67, "end": 23.71, "word": " لا", "probability": 0.498046875}, {"start": 23.71, "end": 24.51, "word": " نخلص", "probability": 0.71319580078125}, 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Differential Equations أو الـ Spiritual Functions وبالتالي هذه الصفات بتفاصيلها أنا مابديش أفوت فيها ان شاء الله في مناسبات تانية بتثبتوها", "tokens": [11622, 1829, 19446, 1975, 2655, 5172, 4587, 8315, 20328, 5172, 9307, 8032, 10721, 8592, 2655, 17082, 1211, 25894, 11296, 36764, 24401, 24525, 2304, 3224, 21480, 289, 4032, 9381, 9640, 2655, 37893, 3224, 13063, 3660, 8978, 28242, 9122, 2655, 3555, 2423, 39184, 15776, 8615, 804, 38355, 4032, 41185, 28242, 9122, 2655, 3555, 2423, 39184, 413, 12612, 2549, 15624, 763, 34051, 2423, 39184, 38929, 11166, 3916, 46599, 6027, 2655, 6027, 1829, 29538, 31767, 5172, 9307, 39894, 5172, 33546, 26895, 11296, 41850, 3714, 16758, 16254, 8592, 5551, 5172, 35473, 8978, 11296, 16472, 13412, 16606, 21984, 8978, 3714, 8315, 35457, 9307, 6055, 7649, 10632, 39894, 12984, 3555, 2655, 2407, 11296], "avg_logprob": -0.190274532431754, "compression_ratio": 1.5674603174603174, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 118.34, "end": 118.62, "word": 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"end": 477.25, "word": " 90", "probability": 0.3525390625}, {"start": 477.25, "end": 477.49, "word": " plus", "probability": 0.2081298828125}, {"start": 477.49, "end": 477.89, "word": " 1،", "probability": 0.385162353515625}, {"start": 477.89, "end": 478.71, "word": " خلصنا،", "probability": 0.700244140625}, {"start": 478.71, "end": 478.87, "word": " إذا", "probability": 0.5340576171875}, {"start": 478.87, "end": 478.99, "word": " هي", "probability": 0.6435546875}, {"start": 478.99, "end": 479.39, "word": " حالي", "probability": 0.6936848958333334}, {"start": 479.39, "end": 480.77, "word": " الـR", "probability": 0.6110026041666666}, {"start": 480.77, "end": 481.33, "word": " جبتها", "probability": 0.87548828125}, {"start": 481.33, "end": 481.97, "word": " و", "probability": 0.392333984375}, {"start": 481.97, "end": 482.17, "word": " الـL", "probability": 0.8805338541666666}, {"start": 482.17, "end": 482.91, "word": " جبتها،", "probability": 0.93681640625}, {"start": 482.91, "end": 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إذا", "probability": 0.53424072265625}, {"start": 494.17, "end": 494.43, "word": " نشتغل", "probability": 0.638720703125}, {"start": 494.43, "end": 494.53, "word": " أنا", "probability": 0.49658203125}, {"start": 494.53, "end": 494.73, "word": " أطلب", "probability": 0.81494140625}, {"start": 494.73, "end": 495.31, "word": " منكم؟", "probability": 0.9827473958333334}], "temperature": 1.0}, {"id": 21, "seek": 51599, "start": 496.29, "end": 515.99, "text": "أيش تجيبه؟ الثوابت الشمّة AL و BL هذه المفروضة إذاً هذا الحل يا بنات هيعطيكم هذا حل لبلاس equation اللي هي الـDel تربيع الـV بتساوي Zero in some region بس بالـspherical coordinates", "tokens": [10721, 1829, 8592, 6055, 7435, 1829, 3555, 3224, 22807, 6024, 104, 14407, 3555, 2655, 25124, 2304, 11703, 3660, 7056, 4032, 15132, 29538, 9673, 5172, 32887, 11242, 3660, 11933, 15730, 14111, 23758, 21542, 1211, 35186, 4724, 8315, 2655, 39896, 3615, 9566, 1829, 24793, 23758, 11331, 1211, 5296, 3555, 15040, 3794, 5367, 13672, 1829, 39896, 2423, 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"probability": 0.84931640625}, {"start": 502.91, "end": 503.41, "word": " إذاً", "probability": 0.4700520833333333}, {"start": 503.41, "end": 503.67, "word": " هذا", "probability": 0.7490234375}, {"start": 503.67, "end": 504.09, "word": " الحل", "probability": 0.981201171875}, {"start": 504.09, "end": 504.23, "word": " يا", "probability": 0.79736328125}, {"start": 504.23, "end": 504.81, "word": " بنات", "probability": 0.9034830729166666}, {"start": 504.81, "end": 506.15, "word": " هيعطيكم", "probability": 0.728759765625}, {"start": 506.15, "end": 507.03, "word": " هذا", "probability": 0.49755859375}, {"start": 507.03, "end": 507.75, "word": " حل", "probability": 0.927978515625}, {"start": 507.75, "end": 508.83, "word": " لبلاس", "probability": 0.59539794921875}, {"start": 508.83, "end": 509.55, "word": " equation", "probability": 0.51806640625}, {"start": 509.55, "end": 510.15, "word": " اللي", "probability": 0.720703125}, {"start": 510.15, "end": 510.39, "word": " هي", "probability": 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543.26, "text": "لما حلها بالـ spherical coordinates لما حلتها بالكارتيزيان طلعت sin و cos و exponential إذا كنتوا ذاكرين أما في الـ spherical طلعت هي حلها تمام from the rodriguez formula we can calculate the legendar polynomial as زي ما اتفقنا P0 P1 لو بدك P2 بتجيبها طبعا واضح P2 even ولا لا أما P1 odd مش مشكلة نشوف كيف بنحل المثال", "tokens": [1211, 15042, 11331, 1211, 11296, 20666, 39184, 37300, 21056, 5296, 15042, 11331, 1211, 2655, 11296, 20666, 4117, 9640, 31371, 11622, 1829, 7649, 23032, 1211, 34268, 3343, 4032, 3792, 4032, 21510, 11933, 15730, 9122, 29399, 14407, 29910, 995, 37983, 9957, 5551, 15042, 8978, 2423, 39184, 37300, 23032, 1211, 34268, 39896, 11331, 1211, 11296, 46811, 10943, 490, 264, 8685, 7065, 31221, 8513, 321, 393, 8873, 264, 476, 432, 273, 289, 26110, 382, 30767, 1829, 19446, 1975, 2655, 5172, 4587, 8315, 430, 15, 430, 16, 45164, 47525, 4117, 430, 17, 39894, 7435, 1829, 3555, 11296, 23032, 3555, 3615, 995, 4032, 46958, 5016, 430, 17, 754, 49429, 20193, 5551, 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520.64, "end": 520.94, "word": " sin", "probability": 0.1968994140625}, {"start": 520.94, "end": 521.06, "word": " و", "probability": 0.90771484375}, {"start": 521.06, "end": 521.3, "word": " cos", "probability": 0.44091796875}, {"start": 521.3, "end": 521.56, "word": " و", "probability": 0.970703125}, {"start": 521.56, "end": 521.98, "word": " exponential", "probability": 0.89599609375}, {"start": 521.98, "end": 522.2, "word": " إذا", "probability": 0.6702880859375}, {"start": 522.2, "end": 522.46, "word": " كنتوا", "probability": 0.9353841145833334}, {"start": 522.46, "end": 522.9, "word": " ذاكرين", "probability": 0.9034423828125}, {"start": 522.9, "end": 523.56, "word": " أما", "probability": 0.8603515625}, {"start": 523.56, "end": 523.72, "word": " في", "probability": 0.7412109375}, {"start": 523.72, "end": 523.84, "word": " الـ", "probability": 0.6488037109375}, {"start": 523.84, "end": 524.06, "word": " spherical", "probability": 0.5390625}, {"start": 524.06, "end": 524.48, 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23032, 1211, 3615, 8315, 16095, 46811, 10943, 46811, 10943, 8032, 3215, 16095, 1339, 439, 2357, 43584, 37495, 22653, 1975, 2655, 1863, 9957, 8608, 5172, 2288, 1975, 2655, 1211, 2655, 995, 8608, 5172, 2288, 1975, 25513, 27884, 8608, 5172, 2288, 1975, 9566, 1211, 3615, 15844, 11331, 6027, 4117, 13672, 1829, 34105, 4117, 6156, 1211, 7435, 36081, 691, 77, 497, 295, 12622, 4724, 1829, 3794, 995, 45865, 591, 17, 39182, 19446, 12602, 2655, 3555, 2655, 9673, 3615, 18513, 37977, 1975, 25957, 1211, 2655, 6024, 104, 14407, 3555, 2655, 4032, 37893, 6024, 104, 14407, 3555, 2655, 23032, 1211, 3615, 11331, 1829, 4117, 36632, 44713, 36178, 9640], "avg_logprob": -0.28509221262619144, "compression_ratio": 1.670995670995671, "no_speech_prob": 0.0, "words": [{"start": 2215.2, "end": 2215.52, "word": "و", "probability": 0.53173828125}, {"start": 2215.52, "end": 2216.06, "word": " A0", "probability": 0.3623046875}, {"start": 2216.06, "end": 2216.68, "word": " K2", "probability": 0.4051513671875}, {"start": 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0.80126953125}, {"start": 2224.14, "end": 2224.72, "word": " vanish", "probability": 0.79345703125}, {"start": 2224.72, "end": 2225.28, "word": " يعني", "probability": 0.78955078125}, {"start": 2225.28, "end": 2225.8, "word": " اتنين", "probability": 0.69189453125}, {"start": 2225.8, "end": 2226.22, "word": " سفر", "probability": 0.8499348958333334}, {"start": 2226.22, "end": 2226.86, "word": " اتلتا", "probability": 0.815966796875}, {"start": 2226.86, "end": 2227.26, "word": " سفر", "probability": 0.9949544270833334}, {"start": 2227.26, "end": 2227.88, "word": " اربعة", "probability": 0.95947265625}, {"start": 2227.88, "end": 2228.38, "word": " سفر", "probability": 0.9934895833333334}, {"start": 2228.38, "end": 2229.24, "word": " اطلع", "probability": 0.9681396484375}, {"start": 2229.24, "end": 2229.42, "word": " على", "probability": 0.84375}, {"start": 2229.42, "end": 2229.84, "word": " حالك", "probability": 0.89599609375}, {"start": 2229.84, "end": 2230.04, "word": " اللي", "probability": 0.951904296875}, {"start": 2230.04, "end": 2230.72, "word": " هناك", "probability": 0.991455078125}, {"start": 2230.72, "end": 2231.58, "word": " فلجيت", "probability": 0.77734375}, {"start": 2231.58, "end": 2232.52, "word": " Vn", "probability": 0.531982421875}, {"start": 2232.52, "end": 2233.2, "word": " R", "probability": 0.6455078125}, {"start": 2233.2, "end": 2233.44, "word": " of", "probability": 0.412353515625}, {"start": 2233.44, "end": 2233.62, "word": " θ", "probability": 0.37841796875}, {"start": 2233.62, "end": 2234.06, "word": " بيساوي", "probability": 0.646923828125}, {"start": 2234.06, "end": 2234.58, "word": " K2", "probability": 0.5601806640625}, {"start": 2234.58, "end": 2234.88, "word": " بعد", "probability": 0.939453125}, {"start": 2234.88, "end": 2235.04, "word": " ما", "probability": 0.3759765625}, {"start": 2235.04, "end": 2235.38, "word": " رتبت", "probability": 0.8302001953125}, {"start": 2235.38, "end": 2235.98, "word": " المعادلة", "probability": 0.9923095703125}, {"start": 2235.98, "end": 2237.06, "word": " اعملت", "probability": 0.76434326171875}, {"start": 2237.06, "end": 2237.56, "word": " الثوابت", "probability": 0.71708984375}, {"start": 2237.56, "end": 2237.62, "word": " و", "probability": 0.93408203125}, {"start": 2237.62, "end": 2237.72, "word": " مش", "probability": 0.6708984375}, {"start": 2237.72, "end": 2238.26, "word": " الثوابت", "probability": 0.8716796875}, {"start": 2238.26, "end": 2238.52, "word": " طلع", "probability": 0.9197591145833334}, {"start": 2238.52, "end": 2239.32, "word": " حيك", "probability": 0.6785481770833334}, {"start": 2239.32, "end": 2242.4, "word": " أي", "probability": 0.5087890625}, {"start": 2242.4, "end": 2243.3, "word": " استفسار", "probability": 0.96923828125}], "temperature": 1.0}, {"id": 89, "seek": 227594, "start": 2252.33, "end": 2275.95, "text": "تمام؟ شو كمان مثال؟ بيقول referring to the previous example نفس المثال، إيش بدك يطيب؟ بدي جوهر برا الآن إيش بيفرق الجوهر برا عن جوهر؟ جوهر كان ثابت طب ال boundary .. ال boundary تبع الجوهر زي ال boundary تبع برا؟ إيش ال boundary تبعت برا؟", "tokens": [39237, 10943, 22807, 13412, 2407, 9122, 2304, 7649, 50113, 6027, 22807, 4724, 1829, 39648, 13761, 281, 264, 3894, 1365, 8717, 36178, 9673, 12984, 6027, 12399, 11933, 1829, 8592, 47525, 4117, 7251, 9566, 1829, 3555, 22807, 4724, 16254, 10874, 2407, 3224, 2288, 4724, 23557, 6024, 48506, 11933, 1829, 8592, 4724, 33911, 2288, 4587, 25724, 2407, 3224, 2288, 4724, 23557, 18871, 10874, 2407, 3224, 2288, 22807, 10874, 2407, 3224, 2288, 25961, 38637, 16758, 2655, 23032, 3555, 2423, 12866, 4386, 2423, 12866, 6055, 3555, 3615, 25724, 2407, 3224, 2288, 30767, 1829, 2423, 12866, 6055, 3555, 3615, 4724, 23557, 22807, 11933, 1829, 8592, 2423, 12866, 6055, 3555, 34268, 4724, 23557, 22807], "avg_logprob": -0.23177083816241334, "compression_ratio": 1.8217821782178218, "no_speech_prob": 0.0, "words": [{"start": 2252.33, "end": 2252.95, "word": "تمام؟", "probability": 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" إيش", "probability": 0.79833984375}, {"start": 2262.07, "end": 2262.39, "word": " بدك", "probability": 0.8955078125}, {"start": 2262.39, "end": 2263.11, "word": " يطيب؟", "probability": 0.770166015625}, {"start": 2263.11, "end": 2263.35, "word": " بدي", "probability": 0.71630859375}, {"start": 2263.35, "end": 2263.59, "word": " جوهر", "probability": 0.700958251953125}, {"start": 2263.59, "end": 2263.89, "word": " برا", "probability": 0.88232421875}, {"start": 2263.89, "end": 2264.23, "word": " الآن", "probability": 0.678955078125}, {"start": 2264.23, "end": 2265.55, "word": " إيش", "probability": 0.87353515625}, {"start": 2265.55, "end": 2265.85, "word": " بيفرق", "probability": 0.825439453125}, {"start": 2265.85, "end": 2266.09, "word": " الجوهر", "probability": 0.8037109375}, {"start": 2266.09, "end": 2266.31, "word": " برا", "probability": 0.974365234375}, {"start": 2266.31, "end": 2266.45, "word": " عن", "probability": 0.9404296875}, {"start": 2266.45, "end": 2268.63, "word": " جوهر؟", "probability": 0.89345703125}, {"start": 2268.63, "end": 2269.29, "word": " جوهر", "probability": 0.8734130859375}, {"start": 2269.29, "end": 2269.49, "word": " كان", "probability": 0.98583984375}, {"start": 2269.49, "end": 2269.87, "word": " ثابت", "probability": 0.9943033854166666}, {"start": 2269.87, "end": 2270.41, "word": " طب", "probability": 0.6533203125}, {"start": 2270.41, "end": 2270.51, "word": " ال", "probability": 0.5849609375}, {"start": 2270.51, "end": 2270.81, "word": " boundary", "probability": 0.87548828125}, {"start": 2270.81, "end": 2271.07, "word": " ..", "probability": 0.396240234375}, {"start": 2271.07, "end": 2271.47, "word": " ال", "probability": 0.79443359375}, {"start": 2271.47, "end": 2271.77, "word": " boundary", "probability": 0.95751953125}, {"start": 2271.77, "end": 2272.05, "word": " تبع", "probability": 0.8541666666666666}, {"start": 2272.05, "end": 2272.37, "word": " الجوهر", "probability": 0.90478515625}, {"start": 2272.37, "end": 2272.49, "word": " زي", "probability": 0.9697265625}, {"start": 2272.49, "end": 2272.57, "word": " ال", "probability": 0.7451171875}, {"start": 2272.57, "end": 2272.73, "word": " boundary", "probability": 0.9541015625}, {"start": 2272.73, "end": 2272.99, "word": " تبع", "probability": 0.9410807291666666}, {"start": 2272.99, "end": 2274.11, "word": " برا؟", "probability": 0.9163411458333334}, {"start": 2274.11, "end": 2274.89, "word": " إيش", "probability": 0.9251302083333334}, {"start": 2274.89, "end": 2274.97, "word": " ال", "probability": 0.9716796875}, {"start": 2274.97, "end": 2275.13, "word": " boundary", "probability": 0.9775390625}, {"start": 2275.13, "end": 2275.45, "word": " تبعت", "probability": 0.6776529947916666}, {"start": 2275.45, "end": 2275.95, "word": " برا؟", "probability": 0.9762369791666666}], "temperature": 1.0}, {"id": 90, "seek": 230407, "start": 2277.09, "end": 2304.07, "text": "ليش حدود المطلوبة؟ لـ capital R حلو اذا انا اول حاجة ان انت بتديني الحل الحل اللي انت بتدينيه عشان اجرّع الثوابت بدي استخدم ال boundary conditions اذا اول خطوة بدي اكتب ال boundary conditions عند R بيتساوي capital R هاي اول حد جديش الجهود اللي مانا عندي دقيقة V0 of θ طب عندي الملا نهاية جديش تتوقع الجهود؟ Zero اذا نكتبهم فلسنا", "tokens": [20292, 8592, 11331, 3215, 23328, 9673, 9566, 1211, 37746, 3660, 22807, 5296, 39184, 4238, 497, 11331, 1211, 2407, 1975, 15730, 1975, 8315, 1975, 12610, 11331, 26108, 3660, 16472, 16472, 2655, 39894, 3215, 9957, 1829, 21542, 1211, 21542, 1211, 13672, 1829, 16472, 2655, 39894, 3215, 9957, 1829, 3224, 6225, 8592, 7649, 1975, 7435, 2288, 11703, 3615, 6024, 104, 14407, 3555, 2655, 4724, 16254, 1975, 14851, 9778, 40448, 2423, 12866, 4487, 1975, 15730, 1975, 12610, 16490, 9566, 2407, 3660, 4724, 16254, 1975, 4117, 2655, 3555, 2423, 12866, 4487, 43242, 497, 4724, 1829, 2655, 3794, 995, 45865, 4238, 497, 8032, 47302, 1975, 12610, 11331, 3215, 10874, 16254, 8592, 25724, 3224, 23328, 13672, 1829, 3714, 7649, 995, 18871, 16254, 11778, 38436, 28671, 691, 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0.94677734375}, {"start": 2387.55, "end": 2387.69, "word": " ولا", "probability": 0.97900390625}, {"start": 2387.69, "end": 2387.69, "word": " مصنعش؟", "probability": 0.9951985677083334}, {"start": 2387.69, "end": 2387.69, "word": " طب", "probability": 0.556488037109375}, {"start": 2387.69, "end": 2387.69, "word": " الأول", "probability": 0.908935546875}, {"start": 2387.69, "end": 2387.69, "word": " يعني", "probability": 0.982421875}, {"start": 2387.69, "end": 2387.69, "word": " إذا", "probability": 0.955322265625}, {"start": 2387.69, "end": 2387.69, "word": " بتتفق", "probability": 0.96826171875}, {"start": 2387.69, "end": 2387.69, "word": " ولا", "probability": 0.9814453125}, {"start": 2387.69, "end": 2387.69, "word": " مصنعش؟", "probability": 0.9954427083333334}, {"start": 2387.69, "end": 2387.69, "word": " إذا", "probability": 0.81640625}, {"start": 2387.69, "end": 2387.69, "word": " بتتفق", "probability": 0.867431640625}, {"start": 2387.69, "end": 2387.69, "word": " ولا", "probability": 0.978515625}, {"start": 2387.69, "end": 2387.69, "word": " مصنعش؟", "probability": 0.994873046875}, {"start": 2387.69, "end": 2387.69, "word": " إذا", "probability": 0.86376953125}, {"start": 2387.69, "end": 2387.69, "word": " بتتفق", "probability": 0.8778076171875}, {"start": 2387.69, "end": 2388.01, "word": " ولا", "probability": 0.9775390625}, {"start": 2388.01, "end": 2389.23, "word": " مصنعش؟", "probability": 0.9951171875}, {"start": 2389.23, "end": 2389.63, "word": " إذا", "probability": 0.911376953125}, {"start": 2389.63, "end": 2389.91, "word": " بتتفق", "probability": 0.94775390625}, {"start": 2389.91, "end": 2390.07, "word": " ولا", "probability": 0.97900390625}, {"start": 2390.07, "end": 2390.17, "word": " مصنع", "probability": 0.99462890625}], "temperature": 1.0}, {"id": 94, "seek": 241950, "start": 2391.56, "end": 2419.5, "text": "تمام؟ إذا أنا هجيت بقولي هنا عندي ال R قصته من النهاية جديش لازم يجاوز بيسكون Zero بقول حط هنا من النهاية أوه هذا بطلع ال Zero طب 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دكتور + +7 +00:00:55,930 --> 00:00:59,770 +سامي ناصر في الـ classical mechanics، تمام؟ قال طيب + +8 +00:00:59,770 --> 00:01:03,530 +لو كان في مجال كهربائي ومجال مغناطيسي، هل الحركة + +9 +00:01:03,530 --> 00:01:07,990 +هتكون دائرية؟ قطعاً من البداية بقول لأ، لأن هنا الـ + +10 +00:01:07,990 --> 00:01:12,320 +speed is not constant، وبالتالي بتقولي طب يلا نجرب + +11 +00:01:12,320 --> 00:01:15,480 +بقولي: a particle of mass M and its charge Q starts + +12 +00:01:15,480 --> 00:01:20,140 +from rest at the origin، يعني عند T = صفر و Z + +13 +00:01:20,140 --> 00:01:24,740 += Zero، و X و Y و Z = Zero، لأن بدأ من الـ origin + +14 +00:01:24,740 --> 00:01:29,180 +تمام؟ in the presence of both electric and + +15 +00:01:29,180 --> 00:01:34,120 +magnetic fields، حلو الـ E أعطانيا باتجاه الـ Z + +16 +00:01:34,120 --> 00:01:37,940 +direction، و الـ B باتجاه الـ X direction، هذا معطى + +17 +00:01:39,020 --> 00:01:42,920 +طبعاً الـ E والـ B مرتبطان مع بعض ولا لأ؟ واضحة + +18 +00:01:42,920 --> 00:01:46,240 +وهذا الـ Vintage الـ Electromagnetic waves. + +19 +00:01:47,060 --> 00:01:49,660 +Describe the motion of the particle. بقول زي ما + +20 +00:01:49,660 --> 00:01:53,060 +عملت مراتك وأثبتت لنا دائرة، خلّيني نجرب، هجيب + +21 +00:01:53,060 --> 00:01:56,610 +أكمل فرصة على الجسم. يعني هذا برضه سؤال الـ classic + +22 +00:01:56,610 --> 00:01:59,090 +عشان كده بدي أسلّع فيه، يعني إحنا في الـ classic + +23 +00:01:59,090 --> 00:02:04,670 +اتعلمنا أن F = MA، خلونا نكتب تاني، وهذي = M + +24 +00:02:04,670 --> 00:02:09,830 +d تربيع X على dt تربيع، صحيح ولا لأ؟ أو d تربيع الـ + +25 +00:02:09,830 --> 00:02:13,970 +R على dt تربيع، وكله في شبتر واحد في الـ classic + +26 +00:02:13,970 --> 00:02:16,490 +كنت أقول: اه، مش واحد، دي اتنين، اللي هو واحد اللي + +27 +00:02:16,490 --> 00:02:20,260 +بيلاقيه الدكتور ناصر اللي هو على الـ vectors، وكنا + +28 +00:02:20,260 --> 00:02:24,600 +نحِلّ الـ differential equation، صحيح ولا لأ؟ وفي + +29 +00:02:24,600 --> 00:02:27,860 +عندي initial condition، وطلع إيه؟ بديها حتى الـ + +30 +00:02:27,860 --> 00:02:30,020 +projectile motion، هيك عملتها، حركة الـ free + +31 +00:02:30,020 --> 00:02:32,720 +falling bodies، عملتها هيك لما يكون في عندي قوة + +32 +00:02:32,720 --> 00:02:37,060 +resistance، كل هذه الشغلات أخدتها زي هنا، كانت مشكلة + +33 +00:02:37,060 --> 00:02:41,140 +إيش أعرف؟ أعرف الـ F، بقول هيها، إيش في عندك؟ في + +34 +00:02:41,140 --> 00:02:46,800 +عندك هذه وهذه، إذا الـ net force هذه زائد هذه، بقوله + +35 +00:02:50,880 --> 00:02:56,620 +Solution بيقول ليه؟ عشان تطلع FM، بدّك V cross الـ B، + +36 +00:02:56,620 --> 00:03:02,060 +صحيح ولا لأ؟ الـ V عبارة عن X Dot و Y Dot و Z Dot، + +37 +00:03:02,060 --> 00:03:06,190 +الـ B هيو، بدّك إياه بس X Component، فيه عملت الـ + +38 +00:03:06,190 --> 00:03:11,570 +cross product، طلعتها، فبقوله الآن الـ total force هي + +39 +00:03:11,570 --> 00:03:16,130 +sum، الـ vector sum طبعاً، between the electric force + +40 +00:03:16,130 --> 00:03:21,950 +and the magnetic force، جمعتهم QE و QV cross الـ B، V + +41 +00:03:21,950 --> 00:03:25,870 +cross الـ B جبتلك إياها، والـ E باتجاه الـ Z فحطيتها + +42 +00:03:25,870 --> 00:03:32,210 +جمعتهم، وطلع هاهي الـ Total F، وهي M R Double Dot + +43 +00:03:32,210 --> 00:03:38,950 +اللي هي تفاضل الـ R بالنسبة للزمن مرتين، تمام؟ + +44 +00:03:38,950 --> 00:03:45,570 +الآن زي ما عرفت مرة هاديك هادي، هي + +45 +00:03:45,570 --> 00:03:49,570 +X Double Dot باتجاه الـ I، Y Double Dot باتجاه الـ + +46 +00:03:49,570 --> 00:03:55,270 +J، Z Double Dot باتجاه الـ K، الآن إيش بدي أسوي؟ بدي + +47 +00:03:55,270 --> 00:03:59,210 +أسوي الـ X component بين الطرفين، الـ Y component + +48 +00:03:59,210 --> 00:04:03,130 +بين الطرفين، والـ Z component بين الطرفين، الـ X + +49 +00:04:03,130 --> 00:04:10,310 +component بين الطرفين، بتقول: فش X component، الـ Y + +50 +00:04:10,310 --> 00:04:18,150 +double dot بتساوي QB Z Dot، الـ K component، mزدوجة double + +51 +00:04:18,150 --> 00:04:27,230 +dot بتساوي QE ناقص QBY Dot، تمام؟ والـ X double dot + +52 +00:04:27,230 --> 00:04:32,470 +بتساوي Zero، لأن هنا ما فيش عندي X component، طبعاً من + +53 +00:04:32,470 --> 00:04:39,810 +هذه المعادلة، جديش X Dot يسمّى؟ constant، طيب بديها + +54 +00:04:39,810 --> 00:04:48,300 +الـ constant هذا كيف تطلعيها؟ ها، قلت لي X Dot بتساوي + +55 +00:04:48,300 --> 00:04:53,120 +constant، مظبوط؟ ولا لأ؟ كلام دقيق، كيف تجيب + +56 +00:04:53,120 --> 00:04:59,840 +الثوابت أنت؟ كيف نتعلم نجيب الثوابت؟ من الـ initial + +57 +00:04:59,840 --> 00:05:06,080 +conditions + +58 +00:05:06,080 --> 00:05:09,640 +طيب + +59 +00:05:09,640 --> 00:05:11,900 +من الـ initial conditions، طيب من الـ initial + +60 +00:05:11,900 --> 00:05:12,260 +conditions، ومن الـ initial conditions، ومن الـ + +61 +00:05:12,260 --> 00:05:13,820 +initial conditions، نرجع لك وين هالـ initial + +62 +00:05:13,820 --> 00:05:14,760 +conditions؟ طلع عليها + +63 +00:05:18,110 --> 00:05:24,590 +إيش بيقول؟ بيقول بدأ من السكون، يعني عند T بتساوي + +64 +00:05:24,590 --> 00:05:29,990 +صفر، طبعاً هنا معناته السرعة بتتغير؟ بتتغير إيش؟ طيب + +65 +00:05:29,990 --> 00:05:36,930 +كان في لحظة من اللحظات ساكن، ممكن ما يسكنش بعد كده؟ + +66 +00:05:36,930 --> 00:05:38,990 +في الـ X component المفروض أنه ماهي constant، بقولي + +67 +00:05:38,990 --> 00:05:44,270 +إذا معناته...جاتش الـ constant طالع؟ Zero، Zero + +68 +00:05:44,270 --> 00:05:46,210 +تمام + +69 +00:05:57,290 --> 00:06:00,430 +from equation 16 and since the particle started + +70 +00:06:00,430 --> 00:06:06,830 +from rest, then x² equal to zero، تمام؟ تبعتوا هذه + +71 +00:06:06,830 --> 00:06:16,450 +المفقودة، صاروا هنا، هيا + +72 +00:06:16,450 --> 00:06:21,350 +هيا هيا أستاذ، أفرح شوية + +73 +00:06:24,530 --> 00:06:30,850 +أه، الآن بدي أنا أشبك بين المعادلة، هتسألوني عشان + +74 +00:06:30,850 --> 00:06:37,730 +عيدها، نور بتسأل، أسألها نور، طيب + +75 +00:06:37,730 --> 00:06:44,650 +الشغل، حاجة، X Dot بتساوي constant، صح؟ X Dot بتساوي + +76 +00:06:44,650 --> 00:06:49,850 +constant، constant، يعني بتغيرش، جسم بدأ من السكون + +77 +00:06:49,850 --> 00:06:55,250 +يعني X Dot و Y Dot و Z Dot بداية Zero، هجيت بيقول الـ + +78 +00:06:55,250 --> 00:07:02,930 +X component ممنوع تتغير، كانت Zero، وإيش بيحصل؟ + +79 +00:07:02,930 --> 00:07:07,190 +على طول من الـ initial condition، يعني أنه مدال ثابت + +80 +00:07:07,190 --> 00:07:09,750 +عند أي نقطة، بيبقى ثابت، هو بيقول يا أي حد النقطة + +81 +00:07:09,750 --> 00:07:13,210 +ديتك إياها، إذا ما بيكون لازم يكون Zero، بيقول الـ + +82 +00:07:13,210 --> 00:07:17,070 +integrating equation 14 and since the particle + +83 +00:07:17,070 --> 00:07:22,350 +again started from rest، هدي Omega Z زي C1، أطلعوا + +84 +00:07:22,350 --> 00:07:27,020 +هدي أطلع يا نور، Y Dot بتساوي Omega Z زي C1، هنا + +85 +00:07:27,020 --> 00:07:33,780 +واضحة، هرجع عن T بتساوي صفر، عن T بتساوي صفر، جديش Z + +86 +00:07:33,780 --> 00:07:38,820 +هو قال لي عن T بتساوي صفر، بدأ من الـ origin، هذي صفر + +87 +00:07:38,820 --> 00:07:43,860 +وهذه عن T بتساوي صفر، إيش لازم تكون؟ Zero، Zero + +88 +00:07:43,860 --> 00:07:47,640 +بتساوي Zero، زي C1، جديش C1؟ Zero، إذا هذه هي نفس + +89 +00:07:47,640 --> 00:07:51,620 +العملية، إذا جديش Y Dot، طلعت Omega في Z، C1، روحتها + +90 +00:07:53,480 --> 00:07:57,600 +Substituting equation 17 back in equation 15، هجيت + +91 +00:07:57,600 --> 00:08:02,320 +Y Dot جبتها، عوض هنا بدل Y Dot، لأن هي Y Dot عوضت + +92 +00:08:02,320 --> 00:08:08,180 +طلعت عندي هيك، طلعت هذه المعادلة، هذه المعادلة بتحب + +93 +00:08:08,180 --> 00:08:13,520 +ها، أشهد، differential equations هدول، وهذه non + +94 +00:08:13,520 --> 00:08:18,000 +homogeneous differential equation، تمام؟ طبعاً هي + +95 +00:08:18,000 --> 00:08:24,260 +حالها مش مصدقة، بتروح بتعوض، بتلاقيها صحيحة، يعني بتعوض + +96 +00:08:24,260 --> 00:08:28,840 +هنا، بتلاقيها بتحقق المعادلة، نصدقها، تمام؟ ولا روح + +97 +00:08:28,840 --> 00:08:33,660 +أعوض، أغلب الأحوال ليش؟ تمام، المرة دي كان حلّنا واحد + +98 +00:08:33,660 --> 00:08:39,560 +زيها، وعوضنا، integrating equation 15 and since the + +99 +00:08:39,560 --> 00:08:43,760 +particle again started from rest، طلعنا Z Dot equal + +100 +00:08:43,760 --> 00:08:51,980 +QET على M ناقص Omega في الـ Y، روحت Z Dot، هاليبدي + +101 +00:08:51,980 --> 00:08:59,020 +أجيبها منها، طلعت Z Dot، تمام؟ equating equation 19 و + +102 +00:08:59,020 --> 00:09:08,180 +20، طلعت هذه المعادلة، ومنها جبت قيمة الـ Y، حلو + +103 +00:09:08,180 --> 00:09:16,140 +squaring equation 18 و 21، هذه Z وهذه Y، بدي أربعها + +104 +00:09:16,140 --> 00:09:25,210 +بدي أقول هذه Z ناقص R، هذه Z ناقص R بتساوي A Cos Omega + +105 +00:09:25,210 --> 00:09:34,390 +T زائد فيتا نوت، وهذه Y ناقص هذا الـ term بتساوي A + +106 +00:09:34,390 --> 00:09:38,130 +Omega Sin، فلما أجي أنا أربعهم عشان Omega تربيع + +107 +00:09:38,130 --> 00:09:45,050 +وSin تربيع يروحوا، فطلعت عندي هذه معادلة، which is + +108 +00:09:45,050 --> 00:09:49,470 +the equation of a circle of radius R and center + +109 +00:09:49,470 --> 00:09:56,400 +positions at 0، RωT، و R، يعني شايفين الـ center تبعي + +110 +00:09:56,400 --> 00:09:59,760 +بيعتمد على إيش؟ على الزمن، إذا الـ center مش ثابت + +111 +00:09:59,760 --> 00:10:04,080 +عشان تطلع circle، حسب المعادلة، travel along the Y + +112 +00:10:04,080 --> 00:10:09,080 +-axis at constant speed، وهذه الرسمة تبعتها، هيك + +113 +00:10:09,080 --> 00:10:14,420 +بيسموها الـ cycloid، الرسمة مش مهمة، الرسمة بدأت من + +114 +00:10:14,420 --> 00:10:20,380 +السكون، فبتكون الرسمة هيك، بتحضّر الجسم، برضه خدته في + +115 +00:10:20,380 --> 00:10:26,740 +الـ classic، بارح بس؟ اه، اه، يعني طب الحمد لله أنا ماشي + +116 +00:10:26,740 --> 00:10:30,820 +بهم، مش هدول الأسئلة، راكن على دكتور ناصر فيهم في + +117 +00:10:30,820 --> 00:10:33,840 +هذه القضية، لأن هو الـ classic في الآخر، تمام؟ و + +118 +00:10:33,840 --> 00:10:37,340 +بعدين الـ chapter فيه ليه كافي، يعني يا طيب العافية + +119 +00:10:37,340 --> 00:10:42,760 +مليء بالمعلومات، فبدي هذه الشغلات اللي أنتم أصلاً + +120 +00:10:42,760 --> 00:10:47,100 +بتاخدوها وبتمتحنوا فيها في الـ classic، قاعدة الـ + +121 +00:10:47,100 --> 00:10:51,900 +كن، من باب أنه موجودة في الشطر، ومن باب تنبسط أنه في + +122 +00:10:51,900 --> 00:10:58,380 +شغل أخذناها مرتين، يعني بنجيبها، تمام؟ الآن نرجع + +123 +00:10:58,380 --> 00:11:02,240 +إحنا بداية الشطر، إيش قلنا؟ قلنا عشان يتولد مجالُك + +124 +00:11:02,240 --> 00:11:06,140 +مغناطيسي، أي شحنة بتولد مجال مغناطيسي، ولازم تكون + +125 +00:11:06,140 --> 00:11:12,320 +متحركة؟ لازم تكون متحركة، طيب الشحنة اللي بتتحرك + +126 +00:11:12,320 --> 00:11:18,640 +إيش بتولد؟ مش تيار؟ تيار، إذا الشحنة اتحركت تيار، إذا + +127 +00:11:18,640 --> 00:11:23,000 +اللي بيولد مجال مغناطيسي هو التيارات الكهربائية، أي + +128 +00:11:23,000 --> 00:11:27,100 +شحنة اتحركت يعني فيها تيار كهربائي، إذا بدنا نتعرف + +129 +00:11:27,100 --> 00:11:30,860 +على الـ current، الـ current إيش شو تعريفُه؟ بيقول: a + +130 +00:11:30,860 --> 00:11:34,320 +moving heat charge in one direction produces + +131 +00:11:34,320 --> 00:11:40,080 +current، واللي رمزه I، كلكم بتعرفوه، ما زال التيار ما + +132 +00:11:40,880 --> 00:11:44,260 +مرتبط بالحركة، الحركة يعني أن هناك تغير بالنسبة + +133 +00:11:44,260 --> 00:11:49,340 +للزمن، إذا عُرِف التيار على أنه معدل تغير الشحن + +134 +00:11:49,340 --> 00:11:54,440 +بالنسبة للزمن، وطبعاً هذا بيساوي زي ما كنا نشتقها + +135 +00:11:54,440 --> 00:12:00,160 +كنا نقول لو في عندي سلك زي هيك، وفي + +136 +00:12:00,160 --> 00:12:02,820 +تيار، إيش يعني في تيار؟ في إلكترونات بتتحرك ولا + +137 +00:12:02,820 --> 00:12:08,520 +لا؟ إلكترونات أو بروتونات، كل واحد تمام + +138 +00:12:10,160 --> 00:12:15,560 +في عندي 100 electron، كده الشحنة في هذا الجزء؟ هي + +139 +00:12:15,560 --> 00:12:19,640 +دي إيه اللي هدا؟ أنا في عندي هنا 100 electron كده + +140 +00:12:19,640 --> 00:12:25,280 +الشحنة كلها؟ حلو، طب أنا قُلت مية، هو يعني كلامي + +141 +00:12:25,280 --> 00:12:30,140 +مقدّس، مية مية، طب لو قُلت ميتين؟ طب وقُلت capital M + +142 +00:12:30,140 --> 00:12:37,320 +إذا دلتا Q في هذا الجزء بيساوي capital N فيه، مظبوط + +143 +00:12:37,320 --> 00:12:43,640 +ولا لأ؟ طيب، capital N هذه مية، ومرة قُلت لي 200، و + +144 +00:12:43,640 --> 00:12:47,440 +مرة قُلت لي 300، كبّر هذه بتكبّر عدد الإلكترونات، صغّرها + +145 +00:12:47,440 --> 00:12:51,080 +بتصغّر، إذا هذه capital N كمية مش صحّية تتعامل معها، + +146 +00:12:51,080 --> 00:12:55,260 +إيش هالعجيب؟ قالوا في كمية أحلى اسمها small n، اللي + +147 +00:12:55,260 --> 00:12:59,360 +هي number of particles per unit volume، لكل وحدة + +148 +00:12:59,360 --> 00:13:04,120 +حجم، فهذه أعملّيها على الـ volume، وهذه أعملّيها على الـ + +149 +00:13:04,120 --> 00:13:07,300 +volume، لو هذه كانت L، بقدر أقول الـ volume A في D L + +150 +00:13:10,580 --> 00:13:14,220 +الـ volume تبع السلندر، هذه رسمتها، هذه مع هذه + +151 +00:13:14,220 --> 00:13:22,060 +برموز، وبرمز اسمه الـ N، فصارت N E في A في Delta L + +152 +00:13:22,060 --> 00:13:25,620 +A اللي هو الـ cross sectional area، صح ولا لأ؟ طب + +153 +00:13:25,620 --> 00:13:27,880 +بدي التيار، بقوله: اه، أما أنت بتقولي Delta Q على + +154 +00:13:27,880 --> 00:13:35,260 +Delta T، صح؟ طب يلا، هاي N وهي E وهي A وهي Delta L + +155 +00:13:35,260 --> 00:13:40,150 +على Delta T، إيش هذه؟ بس لا عشان بس تقولوا من أيه + +156 +00:13:40,150 --> 00:13:43,970 +جاء القانون، تمام؟ + +157 +00:13:43,970 --> 00:13:50,730 +الآن التيار فيه خلاف الموجود في الكتب، بس عشان + +158 +00:13:50,730 --> 00:13:56,650 +تعرفوا، خصوصاً إذا دكتور طاهر يجيكم في كهرومغناطيسية 2 + +159 +00:13:56,650 --> 00:14:00,680 +هيقول لكم أول سؤال: التيار vector ولا scalar؟ جل + +160 +00:14:00,680 --> 00:14:04,140 +العلماء بيقولوا إنه scalar، لكن في بعض العلماء + +161 +00:14:04,140 --> 00:14:06,560 +ومنهم الدكتور طاهر لحد الآن مقتنع إنه is a vector + +162 +00:14:06,560 --> 00:14:11,300 +quantity، طبعاً ليش الخلاف؟ الخلاف إنه إحنا اتعلمنا + +163 +00:14:11,300 --> 00:14:15,000 +من الابتدائية أن التيار اتجاهُه هو هو اتجاه + +164 +00:14:15,000 --> 00:14:18,320 +حركة الشحنات الموجبة، مظبوط ولا لا؟ ودايماً لما أخذنا + +165 +00:14:18,320 --> 00:14:21,320 +كيرشوف، قال: حط لي اتجاه التيار من قطب الموجبة لقطب + +166 +00:14:21,320 --> 00:14:25,060 +السالب، هذا كله كلام دقيق، لكن لما اجوا العلماء + +167 +00:14:25,060 --> 00:14:31,620 +يأصلوا، نرجع للأصول، يأصلوا العلم، قالوا: أنت أي ما هي + +168 +00:14:31,620 --> 00:14:37,980 +هي هي، أولها صح ولا لأ؟ أول تعريفها فوق وتحت، Q + +169 +00:14:37,980 --> + +223 +00:18:34,030 --> 00:18:41,970 +خلينا نقول من هنا أنا عندي DQ وهذه VXB بدل DQ + +224 +00:18:41,970 --> 00:18:49,490 +بدي أحط من هنا إيه؟ بدي أحط IDT تمام، IDT هجيت + +225 +00:18:49,490 --> 00:18:57,330 +السرعة في الزمن إيش بدي؟ مسافة، فصارت القوة بتساوي I + +226 +00:18:57,330 --> 00:19:01,890 +DL × P بتبين الشحنات إيش ببين؟ التيار و + +227 +00:19:01,890 --> 00:19:06,650 +طول السلك، التيار، وطول السلك، طبعا التيار تابع + +228 +00:19:06,650 --> 00:19:13,350 +للسلك مظبوط ولا لأ؟ والسلك له طول، فأنا جبت قانون + +229 +00:19:13,350 --> 00:19:21,330 +بيأثر على السلك، بدل هذا، إذا صار FM = I تكامل D + +230 +00:19:21,330 --> 00:19:27,840 +L × P طبعا I ممكن يطلع برا التكامل أو ما يطلعش + +231 +00:19:27,840 --> 00:19:34,060 +برا التكامل، خلّيني أشوف هذا السؤال، طبعا هذا قانون + +232 +00:19:34,060 --> 00:19:39,900 +أساسي في العلم، جالب الدنيا، هذا القانون هو اللي + +233 +00:19:39,900 --> 00:19:46,180 +خلّى كل الحركة الكهربائية، المواتير، نسميها motor، الـ + +234 +00:19:46,180 --> 00:19:50,420 +motor أو المحرك بمعنى آخر باللغة العربية إيش هو؟ + +235 +00:19:50,420 --> 00:19:54,420 +المحرك الكهربائي؟ المحرك الكهربائي إيش بتاخد؟ حركة + +236 +00:19:54,920 --> 00:19:59,580 +مظبوط ولا لأ؟ الهواية لما أشغلها إيش بيصير فيها؟ + +237 +00:19:59,580 --> 00:20:04,400 +دول؟ إذا جوا فيه محرك اللي هو motor، طبعا مش هيك، و + +238 +00:20:04,400 --> 00:20:12,140 +بس في متشغلة حركة، خلاط الأكل وشغلات كتير أنا بتذكر + +239 +00:20:12,140 --> 00:20:15,960 +الشغلات اللي عندكم أنتم يعني في المطبخ، تمام + +240 +00:20:15,960 --> 00:20:23,670 +بيقول لي إذا دخلنا المطبخ، تمام، A rectangular loop of + +241 +00:20:23,670 --> 00:20:28,550 +wire supporting a mass M، في عندي كتلة يا بنات.. + +242 +00:20:28,550 --> 00:20:37,830 +هذه شوية مش مشكلة، في عندي كتلة معلقة بسلك، with one + +243 +00:20:37,830 --> 00:20:40,970 +end in a uniform magnetic field، وهنا في magnetic + +244 +00:20:40,970 --> 00:20:46,790 +field، بيقول لي قداش قيمة التيار هذا عشان هذه تبقى + +245 +00:20:46,790 --> 00:20:51,890 +معلقة، طبعا هذه لو ما فيش مجال بيشدها لتحت، إيش بتصير + +246 +00:20:51,890 --> 00:20:57,030 +فيها؟ Cancel، مظبوط ولا لأ؟ ههه دي واحدة معلقة، قال لي + +247 +00:20:57,030 --> 00:21:01,090 +أنا هجيت بدي أمرر تيار عشان هذه تظل معلقة، إيش + +248 +00:21:01,090 --> 00:21:05,330 +يعني؟ معناته هذا التيار وهذا المجال خلّى فيه قوة + +249 +00:21:05,330 --> 00:21:09,550 +هنا بتجاه الأعلى ولا لأ؟ عشان تصير in equilibrium + +250 +00:21:09,550 --> 00:21:16,760 +مفروض الـ magnetic force يتساوي MG، وليه؟ وليه يجب أن + +251 +00:21:16,760 --> 00:21:21,760 +يكون الـ magnetic force؟ للأعلى، للأعلى بالقطع، طيب + +252 +00:21:21,760 --> 00:21:29,120 +احنا لما نقول هنا حسب القانون FM = I L × P + +253 +00:21:29,120 --> 00:21:33,760 +حسب القانون هذا، نشوف I إيه الكتلة اتجاهها؟ طبعا + +254 +00:21:33,760 --> 00:21:36,540 +الكتلة يجب أن يكون عليها قوة يا بنات، هذا + +255 +00:21:36,540 --> 00:21:40,120 +عليها قوة؟ لأ، لأنه مش موجود في مجال مغناطيسي، هذا + +256 +00:21:40,120 --> 00:21:47,580 +كتلة، اتجاه التيار I، إذا هذه هي B، نيجي I × هذا + +257 +00:21:47,580 --> 00:21:53,720 +كيف اتجاه الـ B للداخل؟ سالب K، هأذكركم + +258 +00:21:53,720 --> 00:22:01,700 +I × K = سالب J، سالب J، إذا طلع J يعني لفوق ولا لأ؟ + +259 +00:22:01,700 --> 00:22:08,220 +لفوق، إذا صحيح الكلام، طيب هذه كيف تجيبها؟ بقول له I في + +260 +00:22:08,220 --> 00:22:10,040 +L في B = MG + +261 +00:22:13,140 --> 00:22:17,720 +الـ A اللي قديش إيه؟ حسب ما تعطيني، بقدر أجيب I + +262 +00:22:17,720 --> 00:22:31,280 +ولا بقدرش أجيب I؟ بقدر أجيب I، فأنا جبت الـ I = MG + +263 +00:22:31,280 --> 00:22:35,420 +على A، بيه سهل، هذا السؤال موجود في الزيادة دي بقى + +264 +00:22:35,420 --> 00:22:41,200 +في كتاب، في زياده هذا السؤال نفسه موجود، تمام؟ روحي + +265 +00:22:41,200 --> 00:22:42,720 +وجيبي من جهة أبوي + +266 +00:22:46,390 --> 00:22:52,230 +الآن في موضوع مشابه، موضوع أخذناه زمان هو الـ + +267 +00:22:52,230 --> 00:22:56,530 +Current Density، الـ Current Density لما كنا نقول + +268 +00:22:56,530 --> 00:23:02,510 +DQ، كنا نقول هذه DQ مرة = λ DL ومرة = σ DA و + +269 +00:23:02,510 --> 00:23:07,310 +مرة = ρ dτ، ذاكرينهم؟ إيش هم λ و σ و + +270 +00:23:07,310 --> 00:23:14,330 +ρ هدول؟ الـ Charge Densities، هيلزمني أيضا علاقة + +271 +00:23:14,330 --> 00:23:17,590 +بين التيار والأبعاد، لأنه أنا هاد الـ work ليش + +272 +00:23:17,590 --> 00:23:21,690 +بلزّمني، لما أكامل يكون في عندي X وDQ، أقول له بأنفعش + +273 +00:23:21,690 --> 00:23:26,390 +أكامل، بدي أحول الـ Q بدلالة الـ X، و X و Y و Z هدول + +274 +00:23:26,390 --> 00:23:31,410 +عبارة عن dimensions، طول ومساحة، الحجم، فتعرفنا على + +275 +00:23:31,410 --> 00:23:36,450 +الـ charge densities، هنا هيجيني برضه DI وبدي أكامل + +276 +00:23:36,450 --> 00:23:40,430 +على X و Y و Z، إذا اللي لابد أني أجيب علاقة ما بين + +277 +00:23:40,430 --> 00:23:45,440 +التيار والأبعاد، العلاقة بين التيار والأبعاد معناته + +278 +00:23:45,440 --> 00:23:49,680 +في عندك كثافة، density، عندي نوعين للـ density، بيمشي + +279 +00:23:49,680 --> 00:23:58,020 +ثلاثة زي الـ charge، عندي احتمالين، التيار بيمشي + +280 +00:23:58,020 --> 00:24:03,420 +في سطح، على سطح، أو بيمشي في حجم، ما هو دي شحنات + +281 +00:24:03,420 --> 00:24:10,140 +بتتحرك، شحنات بتتحرك، بأنفعش تتحركش بالمرة، كيف بتتحرك؟ + +282 +00:24:10,140 --> 00:24:16,270 +نفس الوضع، إن عندك ورقة، عندك ورقة هادي من نحاس + +283 +00:24:16,270 --> 00:24:19,990 +كلها مصنوعة من صناعة نحاس، وشبكتها بالكهرباء من + +284 +00:24:19,990 --> 00:24:25,350 +هنا، صار في تيار، التيار بيمشي هيك يعني، إذا ما + +285 +00:24:25,350 --> 00:24:28,530 +يمشي هيك، التيار، يعني الشحنات ماشية هيك، وهذا نحاس + +286 +00:24:28,530 --> 00:24:34,390 +بصحلها تمشي فيه، مشيت، طيب بدي أنا الـ density، الـ + +287 +00:24:34,390 --> 00:24:39,850 +density، صار التيار على سطح، عشان كده إيش بسميه؟ عند + +288 +00:24:39,850 --> 00:24:46,390 +تشغيله على مستوى سطح نسميها بـ Surface Current + +289 +00:24:46,390 --> 00:24:50,690 +Density، رمزه K، هذا Surface Current + +290 +00:24:50,690 --> 00:24:55,750 +Density، كيف أعرفه؟ هذه الورقة وهذا التيار بيمشي + +291 +00:24:55,750 --> 00:25:03,990 +هكذا، يجب أن يكون عبارة عن التيار على مستوى سطح واحد + +292 +00:25:04,590 --> 00:25:09,250 +على unit length، التيار على طول، التيار على طول، يعني + +293 +00:25:09,250 --> 00:25:13,830 +واحدة، الـ K هذه أمبير على متر، كيف أجيب الطول؟ جالي + +294 +00:25:13,830 --> 00:25:19,210 +الطول هذا، هي مشاكل ماشية، لكن الطول هذا اللي بتقطعه + +295 +00:25:19,210 --> 00:25:24,430 +اللي بقطعه، فبدي يكون بحيث أن يكون التيار = K + +296 +00:25:24,430 --> 00:25:29,170 +⋅ DL، نرجع للتيار في هذا التعريف، التيار اسمه + +297 +00:25:29,170 --> 00:25:33,450 +vector ولا scalar؟ scalar، يعني Scalar of Product + +298 +00:25:33,450 --> 00:25:40,270 +وقالو الـ Vector، خلّينا مين الـ K؟ الـ K كـ Current + +299 +00:25:40,270 --> 00:25:42,310 +Density هو الـ Vector + +300 +00:25:46,740 --> 00:25:50,000 +أنت جبت هنا الكثافة هذه الصغيرة بالـ unit length + +301 +00:25:50,000 --> 00:25:53,540 +بدك تكامل بتجيب الكل صحيح؟ عشان كده هنا لما + +302 +00:25:53,540 --> 00:25:58,020 +يقول، شوف هنا K ⋅ dL، لما تكامل الـ dL هذه بتكبر ولا + +303 +00:25:58,020 --> 00:26:02,820 +بتكبر إيش؟ بتكبر، فبدي بيها كلها، تمام، where dL is + +304 +00:26:02,820 --> 00:26:06,560 +an infinitesimal width of a ripon، اللي هو الشريط + +305 +00:26:06,560 --> 00:26:10,510 +الأسود هذا، Running parallel to the current، بمعنى + +306 +00:26:10,510 --> 00:26:14,290 +آخر، Or we can say that K is the current per unit + +307 +00:26:14,290 --> 00:26:17,210 +length per unit width perpendicular to the + +308 +00:26:17,210 --> 00:26:20,710 +direction of current flow، تمام، قال لي لو شوفت أنت + +309 +00:26:20,710 --> 00:26:27,250 +معادلة رقم 25 هتلاقي إنه NI، احنا كتبناها + +310 +00:26:27,250 --> 00:26:36,130 +أنا وياكم، I = NE في V في إيه؟ + +311 +00:26:38,360 --> 00:26:42,280 +خلينا نعمل إيه؟ + +312 +00:26:42,280 --> 00:26:47,060 +مظبوط هيك ولا لأ؟ بدي أطلع الوحدات، قل لي هذه إيش + +313 +00:26:47,060 --> 00:26:54,800 +وحدتها؟ حاجة على حجم، هي متر مكعب، صح؟ هذه كلها، + +314 +00:26:54,800 --> 00:27:01,620 +هذه متر تربيع، هذه متر، مظبوط ولا لأ؟ لما + +315 +00:27:01,620 --> 00:27:05,640 +أقدر أطلعها، فبتصير هذه امتى، كأيه، براحة + +316 +00:27:05,640 --> 00:27:10,640 +صارت هذه current، عسكنت، طيب لو أنا بدي أجيب الـ K + +317 +00:27:10,640 --> 00:27:16,960 +بقدر أقول هذه خلّيها زي ما هي، هذه إيش ضال عندك؟ + +318 +00:27:16,960 --> 00:27:20,820 +كلهم على المتر، طب كلهم على المتر إيش وقتها؟ مش هذه + +319 +00:27:20,820 --> 00:27:26,730 +λ؟ مظبوط ولا لأ؟ هذه λ، تمام، فلما أجي أدي + +320 +00:27:26,730 --> 00:27:33,090 +أطلع عليها، فبقدر أقول إن K لو أدي أجيب I على الـ + +321 +00:27:33,090 --> 00:27:36,590 +.. إيش هي الـ K عندنا؟ إيش هي الـ K؟ الـ K بتساوي I + +322 +00:27:36,590 --> 00:27:42,470 +على متر، وهذه λ اللي هي كولوم على متر، وهذه + +323 +00:27:42,470 --> 00:27:46,310 +السرعة، وحط كمان متر، إيش هذه سرعة؟ كولوم على متر + +324 +00:27:46,310 --> 00:27:51,960 +تربيع، اللي هي σ، إذا معناته K = σ في V + +325 +00:27:51,960 --> 00:27:57,500 +K = σ في V، فربط لي الـ K مع الـ σ عشان + +326 +00:27:57,500 --> 00:28:01,500 +يقول لي الـ K surface current density، والـ σ + +327 +00:28:01,500 --> 00:28:07,400 +surface charge density، أنا + +328 +00:28:07,400 --> 00:28:13,900 +أذكركم وأنا بصراحة أذكر الشغل اللي بتخلص له حد + +329 +00:28:13,900 --> 00:28:19,000 +كبير بتنمحي، زمان كان في فيزياء بقى، سؤال بيقول التالي + +330 +00:28:19,000 --> 00:28:24,640 +بيقول أنا عندي كرة من جوا فاضية، شحنتها، وأنا شحنات + +331 +00:28:24,640 --> 00:28:30,920 +بتكون يا هدا؟ على السطح، هذه الكرة بتدخليها تروس أو + +332 +00:28:30,920 --> 00:28:35,020 +تجيب المجال المغناطيسي بتولده، المجال المغناطيسي بتولده + +333 +00:28:35,020 --> 00:28:38,080 +من تيار، أنت ما عندكش فيه تيار، بيقول فيه شحنات، ولفّت + +334 +00:28:38,080 --> 00:28:44,430 +ما هو تيار؟ كيف بدك تجيبها؟ كانوا يقولوا هادي التيار + +335 +00:28:44,430 --> 00:28:48,010 +σ، مش أنت دتني يا σ، σ دتني Q، الـ Q على + +336 +00:28:48,010 --> 00:28:51,950 +4πR تربيع، والسرعة هادي اللي دتني السرعة، + +337 +00:28:51,950 --> 00:28:54,570 +هادي Q منها كنت أجيبها، مش أنت دتني المجال، هذا من + +338 +00:28:54,570 --> 00:29:00,870 +ضمن الأسئلة الصعبة كانت في فيزياء، عندما يتحرك في + +339 +00:29:00,870 --> 00:29:08,350 +حالة حجم + +340 +00:29:08,350 --> 00:29:13,750 +تتحرك في حالة حجم تتحرك في حالة حجم تتحرك في + +341 +00:29:13,750 --> 00:29:18,730 +حالة حجم تتحرك في حالة حجم تتحرك في حالة حجم + +342 +00:29:18,730 --> 00:29:25,320 +تتحرك في حالة حجم، مش على السطح، دي هو الحجم، when + +343 +00:29:25,320 --> 00:29:27,720 +its charge flows through a volume, we describe it + +344 +00:29:27,720 --> 00:29:32,360 +by the volume current density J defined as I = + +345 +00:29:32,360 --> 00:29:39,280 +J ⋅ dA، J ⋅ dA، تمام، again from equation 25 + +346 +00:29:39,280 --> 00:29:45,360 +هذه J = σV = ρ في V، حسب الأبعاد + +347 +00:29:45,360 --> 00:29:48,860 +تبعتنا، J = ρ في V، حلو + +348 +00:29:51,090 --> 00:29:55,130 +هجيت، بعد ما عملنا الـ Magnetic Force هذه، I dL + +349 +00:29:55,130 --> 00:30:00,450 +× الـ B، هتصير كالتالي، FM اللي هي بتساوي V + +350 +00:30:00,450 --> 00:30:06,010 +× الـ B، دي Q هذه، دي Q، قلنا إما σ dA + +351 +00:30:06,010 --> 00:30:11,170 +أو ρ dτ، إذا كانت على surface أو إذا كانت على + +352 +00:30:11,170 --> 00:30:19,180 +حجم، تمام، الـ σ في الـ V هي الـ K، والـ ρ في الـ V + +353 +00:30:19,180 --> 00:30:25,560 +هي الـ J، فبتكون إما هيك أو + +354 +00:30:25,560 --> 00:30:37,100 +ρ + +355 +00:30:37,100 --> 00:30:43,260 +J × الـ B dτ، إذا أنت عندك dA بتكون K × + +356 +00:30:43,260 --> 00:30:46,540 +الـ dA أو dτ، هادي، نرجع له، هدول القوانين + +357 +00:30:51,410 --> 00:30:59,090 +هايجي فيه معادلة مشهورة بدنا نشتقها مع بعض، اللي + +358 +00:30:59,090 --> 00:31:04,450 +بيسموها معادلة الاستمرارية، مرت عليكم هذه الكلمة؟ + +359 +00:31:04,450 --> 00:31:09,610 +أنتم خذتو.. مين ما بياخذ quantum؟ غير quantum + +360 +00:31:09,610 --> 00:31:12,390 +.. ما عندكوا اصلا ما بدنا نطول في فصل الجدار، هتبدأ؟ + +361 +00:31:12,390 --> 00:31:17,210 +أقول، let us calculate the current entering a + +362 +00:31:17,210 --> 00:31:22,390 +closed surface، عندي تيار، high surface جوا هنا بدي + +363 +00:31:22,390 --> 00:31:25,670 +أشوف فيه تيار بدخل هنا، بدخل من هذا السطح اللي بفوت + +364 +00:31:25,670 --> 00:31:29,950 +تمام؟ بدي أشوف إيش اللي بصير، قول لكم، بس الـ surface + +365 +00:31:29,950 --> 00:31:33,050 +هذا، بدي أدخله ما يطلع، عشان لما يدخل التيار، إيش + +366 +00:31:33,050 --> 00:31:38,600 +بيصير في الشحنات اللي جوا؟ بتزيد ولا بتخسر؟ بتزيد، + +367 +00:31:38,600 --> 00:31:40,460 +يعني هو إيش مع التيار بتدخل؟ يعني فيه إلكترونات + +368 +00:31:40,460 --> 00:31:43,760 +قاعدة بتخش، طيب، لو التيار بيطلع، إيش بيصير في + +369 +00:31:43,760 --> 00:31:47,940 +الشحنة؟ بتقل، تمام؟ هذه نفس عملية الـ flow تبع + +370 +00:31:47,940 --> 00:31:53,080 +الماء، لو بدي أخش في مكان معين، طيب، الطلوع وخروج + +371 +00:31:53,080 --> 00:31:58,220 +التيار، هل هذا هو تدفق ولا مش تدفق؟ الـ flow of + +372 +00:31:58,220 --> 00:32:02,900 +charges، بيقول لي خلينا نجرب، توّي أنت قلتي اللي + +373 +00:32:02,900 --> 00:32:08,530 +التيار هيو، بس خلي السطح يكون مغلق، صار السطح مغلق + +374 +00:32:08,530 --> 00:32:13,890 +تمام، هجيت هو داخل منه، إن لا هذا السطح مغلق، إن لا + +375 +00:32:13,890 --> 00:32:15,330 +هذا السطح مغلق، إن لا هذا السطح مغلق، إن لا هذا + +376 +00:32:15,330 --> 00:32:16,430 +السطح مغلق، إن لا هذا السطح مغلق، إن لا هذا السطح + +377 +00:32:16,430 --> 00:32:17,750 +مغلق، إن لا هذا السطح مغلق، إن لا هذا السطح مغلق، إن + +378 +00:32:17,750 --> 00:32:17,770 +لا هذا السطح مغلق، إن لا هذا السطح مغلق، إن لا هذا + +379 +00:32:17,770 --> 00:32:17,870 +السطح مغلق، إن لا هذا السطح مغلق، إن لا هذا السطح + +380 +00:32:17,870 --> 00:32:17,950 +لا هذا السطح مغلق، إن لا هذا السطح مغلق، إن لا هذا + +381 +00:32:17,950 --> 00:32:22,410 +السطح مغلق، إن لا هذا السطح مغلق، إن + +382 +00:32:22,410 --> 00:32:26,330 +لا + +383 +00:32:26,330 --> 00:32:30,520 +هذا السطح مغلق، إن لا هذا السطح، بدي أستخدم الـ + +384 +00:32:30,520 --> 00:32:35,120 +divergence theorem، ليش؟ بقول هذا تكامل على سطح + +385 +00:32:35,120 --> 00:32:39,400 +مغلق، الـ divergence theorem بتحوله لـ volume + +386 +00:32:39,400 --> 00:32:43,320 +integral، صح ولا لا؟ الـ volume هو اللي جوا هذا + +387 +00:32:43,320 --> 00:32:51,700 +السطح، فصار كالتالي، ناقص Del ⋅ J dτ، Del ⋅ + +388 +00:32:51,700 --> 00:32:55,840 +J dτ، But the current is equal to the rate + +389 +00:32:55,840 --> 00:32:59,180 +at which the charge is transported، يعني احنا بنعرف + +390 +00:32:5 + +445 +00:36:43,830 --> 00:36:50,130 +Q كانت قريبة عن Q بتجيل E و لا جاء أنّه بتناسب + +446 +00:36:50,130 --> 00:36:53,990 +تناسب عكسي مع المربع قال الآن أيش مصدر مجالك + +447 +00:36:53,990 --> 00:36:57,470 +المغناطيسي؟ قلت له شحنات متحركة قال يعني طيار قلت له + +448 +00:36:57,470 --> 00:37:05,190 +طيار تمام قال هسلك في طيار في طيار بدي شدة مجال + +449 +00:37:05,190 --> 00:37:11,120 +هنا أعمل تجارب ثلاثة أمبير حسب المجال أو خمسة + +450 +00:37:11,120 --> 00:37:15,120 +أمبير، أيش صار في المجال؟ زاد، منطق ولا مش منطق؟ + +451 +00:37:15,120 --> 00:37:19,020 +منطق، إذن بيقول يتناسب تناسب طردي مع التيار، + +452 +00:37:19,020 --> 00:37:23,080 +يخلي يشوف السلك طوله زاد المجال، إذن برضه صار + +453 +00:37:23,080 --> 00:37:26,140 +المجال يعتمد على طول السلك، طيب الشرارة المنطقية + +454 +00:37:26,140 --> 00:37:28,460 +الثانية قالت، طب المنطق كله منطق، ما هو المنطق + +455 +00:37:28,460 --> 00:37:34,500 +بتغيرش، هذه النقطة زي هذه؟ لما أبعد، المجال ضعيف حسب + +456 +00:37:34,500 --> 00:37:38,180 +المسافة، بتناسب عكسيا مع مربع المسافة، صح + +457 +00:37:38,180 --> 00:37:42,920 +ولا لا؟ إذن صار المجال المغناطيسي يتناسب طرديا مع I + +458 +00:37:42,920 --> 00:37:47,940 +و طرديا مع الطول و عكسيا مع مربع المسافة، قال إذن هذا + +459 +00:37:47,940 --> 00:37:53,240 +مش كله صح ولا لا؟ تمام، طيب لما إيه يبدو يحسب + +460 +00:37:53,240 --> 00:37:59,810 +المسافة؟ لما يكون شحنة، هذه شحنة وهذه نقطة، هل يوجد + +461 +00:37:59,810 --> 00:38:03,510 +خلاف بينكما؟ كيف هي المسافة بين الشحنة والنقطة؟ لا + +462 +00:38:03,510 --> 00:38:06,870 +يوجد، أحد يقول أن هناك مسافتين، طب وهذه السلك وهذه + +463 +00:38:06,870 --> 00:38:13,410 +النقطة، من يحسب؟ كيف يأتي بالمسافة؟ احكي يا نسمة، هذه + +464 +00:38:13,410 --> 00:38:20,550 +السلك وهذه النقطة، يحتاجون المسافة ولماذا عمودية؟ + +465 +00:38:20,550 --> 00:38:26,230 +من قال عمودية؟ لماذا عمودية؟ هو سيقول لك أكثر مسافة؟ + +466 +00:38:27,520 --> 00:38:31,840 +هذه مسافة وهذه مسافة وهذه مسافة، كيف أحلها؟ قال خذ + +467 +00:38:31,840 --> 00:38:35,700 +عنصر، وراجح حالك، خذ عنصر، ساعتها لما تأخذ عنصر، بصي + +468 +00:38:35,700 --> 00:38:38,680 +زي النقطة، ساعتها بقى بطل اختلف أنا وياك، طب أنت + +469 +00:38:38,680 --> 00:38:42,720 +ماخذ من عنصر ولا ماخذ من طول السلك؟ بكان، اتخلصت، + +470 +00:38:42,720 --> 00:38:45,860 +هاي الفرق ما بين لما يكون السلك طويل ولما يكون + +471 +00:38:45,860 --> 00:38:50,680 +point charge فقال لي the magnetic field due to a + +472 +00:38:50,680 --> 00:38:53,660 +point due to a wire of a steady current، هاي السلك + +473 +00:38:53,660 --> 00:38:58,900 +وهاي الطيارة، فأخذ عنصر، طلع μ₀ على 4 + +474 +00:38:58,900 --> 00:39:04,680 +π، هذا ثابت التناسب، وين راحنا؟ هذا مين يذكرني شو + +475 +00:39:04,680 --> 00:39:10,080 +هذا بيساوي؟ 1 على 4πϵ₀، هناك + +476 +00:39:10,080 --> 00:39:14,860 +4π تحت، μ₀، مش تشبه ϵ₀ + +477 +00:39:14,860 --> 00:39:20,820 +مين يذكرني ϵ₀، إيش تعريفها؟ ثابت النفاذية + +478 +00:39:20,820 --> 00:39:26,720 +الكهربائية، μ₀ ثابت السماحية المغناطيسية، حاجات + +479 +00:39:26,720 --> 00:39:30,460 +لغوية، سماحية ونفاذية، مش زي بعض، نفس الشيء بس عشان + +480 +00:39:30,460 --> 00:39:34,120 +يميزوا بينهم الجمهور مش أكثر، تمام، وإحنا اتفقنا هذا + +481 +00:39:34,120 --> 00:39:40,060 +بيجيب جداش المادة بتتفاعل مع تأثير المجال الكهربائي + +482 +00:39:40,060 --> 00:39:44,470 +عشان كده بيقولوا، تمام، الـ I، الـ I بتناسب تناسبها + +483 +00:39:44,470 --> 00:39:50,210 +طرديا مع I، جبت دليل، تطلع الـ dl، أو دي ال، عشان + +484 +00:39:50,210 --> 00:39:53,190 +أخذت عنصر وبعدين كامل، أنت حر بعد كده، ماحد بيقولك + +485 +00:39:53,190 --> 00:40:00,690 +وين أنت على لو هادي.. وين هنا.. هادي كان هاد لو + +486 +00:40:00,690 --> 00:40:04,530 +هادي، عملت أشهد، عملت هيك، إيش بتصير هادي؟ فحطيناها + +487 +00:40:04,530 --> 00:40:07,510 +تكعيب، طبعا، ليش جاء cross product؟ لأنه جاء + +488 +00:40:07,510 --> 00:40:11,870 +المجال المغناطيسي اتجاهه عمودي على شغلتين، عمودي + +489 +00:40:11,870 --> 00:40:14,450 +على الطول وعمودي على المسافة بين الطول والنقطة + +490 +00:40:14,450 --> 00:40:17,430 +إذن جاء هذا نتيجة cross product مش big chunk + +491 +00:40:17,430 --> 00:40:21,690 +فحطوا cross product، من هنا بيبين أنه بيكون عمودي على + +492 +00:40:21,690 --> 00:40:25,230 +هادي وعمودي على هادي، صحيح ولا لأ؟ هذا القانون + +493 +00:40:25,230 --> 00:40:31,410 +التابع، دي الشرطة is an element along the wire, our + +494 +00:40:31,410 --> 00:40:37,740 +script ذاكرينها؟ تابع Chapter واحد، هي رجعتي ان.. is a + +495 +00:40:37,740 --> 00:40:40,500 +vector from the source to the point and the new + +496 +00:40:40,500 --> 00:40:43,460 +note، سواء أربعة باي عشر أو أربعة باي سبعة اللي هو + +497 +00:40:43,460 --> 00:40:47,660 +الثابت is the magnetic permeability, permittivity + +498 +00:40:47,660 --> 00:40:51,180 +سماحية أو نفاذية، و permeability هي السماحية + +499 +00:40:51,180 --> 00:40:55,560 +فالثنتين لهم نفس المعنى اللغوي، permeability أو + +500 +00:40:55,560 --> 00:41:01,480 +permittivity of the free space، بس بدي ناخد شغلات + +501 +00:41:01,480 --> 00:41:02,580 +بسيطة وبعدين نكمل + +502 +00:41:05,820 --> 00:41:09,880 +بيطلعوا إيش بيقولوا؟ بيقولوا عندك سلك طويل، قصير، + +503 +00:41:09,880 --> 00:41:13,840 +مش مشكلة، بدي شدة المجال عند النقطة اللي فوق، + +504 +00:41:13,840 --> 00:41:20,160 +خلّيني أكتب قانون، بيقول بـ μ₀ I على 4 + +505 +00:41:20,160 --> 00:41:25,340 +π تكامل، dl × r على r³ + +506 +00:41:25,340 --> 00:41:31,120 +، كيف بدي أشتغل؟ طبعا، زي ما الشباب شايفين + +507 +00:41:31,120 --> 00:41:34,600 +امتحانات final قديمة، ففي الـ final في صور عن هذا + +508 +00:41:34,600 --> 00:41:39,190 +الـ dl لحاله مهم؟ لهذا الشيء العادي.. لأن هذا مش + +509 +00:41:39,190 --> 00:41:43,590 +هأخدش في الـ second term وبالتالي.. من أهمية + +510 +00:41:43,590 --> 00:41:46,730 +.. شوف ما فيش تكنيك كبير، طلعوا على التكامل، إيش في + +511 +00:41:46,730 --> 00:41:51,550 +فوق في التكامل جوا؟ dl، الـ r بقدر أجيبها من + +512 +00:41:51,550 --> 00:41:55,790 +دول معرفة العنصر؟ لأن الـ r هو أدات العنصر، إذن + +513 +00:41:55,790 --> 00:42:01,630 +أول خطوة بدي أعملها أُحدد عنصر، العنصر هو إيش؟ dl، و + +514 +00:42:01,630 --> 00:42:05,270 +أيه بدي آخذ دليل العنصر الآن؟ على السلك الأحمر + +515 +00:42:05,270 --> 00:42:09,790 +بينفع عنصر ولا لأ؟ هاي عنصري، هذا طوله بدي اعتبرها + +516 +00:42:09,790 --> 00:42:13,010 +Cartesian coordinates، cylindrical coordinates، بدي + +517 +00:42:13,010 --> 00:42:16,710 +أخليها دهو الـ Z axis، فبدي أعتبر الطول الأحمر دي Z + +518 +00:42:16,710 --> 00:42:24,870 +فهي دي Z، نجي واحدة واحدة، هذه dl vector ولا + +519 +00:42:24,870 --> 00:42:28,490 +مش vector؟ نكتبها، هي dl + +520 +00:42:35,810 --> 00:42:46,110 +بيزيد باتجاه الـ K، صحيح؟ طيب مين يجيب لي r؟ r الشيء، هي + +521 +00:42:46,110 --> 00:42:52,650 +r شيء، أول إحداثي إيش؟ طيب دليلها بتقول r أو z + +522 +00:42:52,650 --> 00:42:56,970 +فاهم + +523 +00:42:56,970 --> 00:43:01,830 +أنا قلت لك ليه غلط؟ + +524 +00:43:01,830 --> 00:43:05,930 +r أو z؟ عشان إحنا مرة اتعاملنا r و + +525 +00:43:05,930 --> 00:43:14,490 +أسهل، لأن هي هي هي، و z كان نهايته نعتبرها صفر، صحيح + +526 +00:43:14,490 --> 00:43:29,430 +طيب r، إحداثي إيش r؟ نسمع صوت + +527 +00:43:29,430 --> 00:43:39,500 +عالي، صح كلامي، وين الـ z طيب؟ اللي هو هاي proper + +528 +00:43:39,500 --> 00:43:47,440 +إذن من هنا بقدر أقول r بتساوي r ناقص r + +529 +00:43:47,440 --> 00:43:51,880 +شرطة، بتساوي s hat ناقص z باتجاه الـ K، طب الـ + +530 +00:43:51,880 --> 00:43:56,240 +magnitude؟ + +531 +00:43:56,240 --> 00:44:00,920 +صحّيك؟ + +532 +00:44:03,970 --> 00:44:08,250 +خلص، اتدرب، اتروح، ده كل شيء، أَتى عندك r، أَتى + +533 +00:44:08,250 --> 00:44:12,790 +dl، أَتى ما عليك إلا تعمل cross product و + +534 +00:44:12,790 --> 00:44:17,610 +تكامل عشان تكمل النتيجة تبعك وطبعا إحنا هنعيدها + +535 +00:44:17,610 --> 00:44:21,450 +المرة الجاية على اعتبار أن هذه هي الـ z، فوصلنا لـ + +536 +00:44:21,450 --> 00:44:26,490 +عند الـ هنا، عملنا cross product وخلينا عشان نعيدها + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/Lg2nuY5yP8c_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/Lg2nuY5yP8c_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..25ff125751182d6c620b651d6e7806f3bc10b846 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/Lg2nuY5yP8c_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4684, "start": 21.4, "end": 46.84, "text": "أحنا جاعدين بنقول التالي اف ماجنتك بالساوة q v cross ال b بمعنى آخر كل شحنة متحركة موجودة في مجال مغناطيسي بتتأثر بقوة مغناطيسية طبعا لهذا القانون زي ما كنا نقول اف electric بالساوة q في ال E", "tokens": [10721, 5016, 8315, 10874, 995, 22488, 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69.13, "end": 69.29, "word": " not", "probability": 0.966796875}, {"start": 69.29, "end": 69.93, "word": " constant", "probability": 0.9501953125}], "temperature": 1.0}, {"id": 3, "seek": 9794, "start": 70.5, "end": 97.94, "text": "وبالتالي بتقولي طب يللا نجرب بقولي a particle of mass M and its charge Q starts from rest at the origin يعني عن T بتسوي صفر و Z بتسوي Zero و X و Y و Z Zero لأن بدأ من ال origin تمام؟ in the presence of both electric and magnetic fields حلو ال E أعطانيا باتجاه ال Z direction و ال B باتجاه ال X direction هذا معطى", "tokens": [37746, 6027, 2655, 6027, 1829, 39894, 39648, 1829, 23032, 3555, 7251, 1211, 15040, 8717, 7435, 25513, 4724, 39648, 1829, 257, 12359, 295, 2758, 376, 293, 1080, 4602, 1249, 3719, 490, 1472, 412, 264, 4957, 37495, 22653, 18871, 314, 39894, 3794, 45865, 20328, 5172, 2288, 4032, 1176, 39894, 3794, 45865, 17182, 4032, 1783, 4032, 398, 4032, 1176, 17182, 5296, 33456, 47525, 10721, 9154, 2423, 4957, 46811, 10943, 22807, 294, 264, 6814, 295, 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"word": " الآن", "probability": 0.58856201171875}, {"start": 845.38, "end": 845.8, "word": " مقتنع", "probability": 0.977783203125}, {"start": 845.8, "end": 846.08, "word": " انه", "probability": 0.795654296875}, {"start": 846.08, "end": 846.22, "word": " is", "probability": 0.5009765625}, {"start": 846.22, "end": 846.34, "word": " a", "probability": 0.93359375}, {"start": 846.34, "end": 846.56, "word": " vector", "probability": 0.912109375}, {"start": 846.56, "end": 847.04, "word": " quantity", "probability": 0.428955078125}, {"start": 847.04, "end": 848.2, "word": " طبعا", "probability": 0.9344482421875}, {"start": 848.2, "end": 848.4, "word": " ليش", "probability": 0.95947265625}, {"start": 848.4, "end": 849.26, "word": " الخلاف؟", "probability": 0.955810546875}], "temperature": 1.0}, {"id": 32, "seek": 87880, "start": 849.54, "end": 878.8, "text": "الخلاف انه احنا اتعلمنا من الابتدائية ان الطيارة الى اتجاهها هو هي اتجاه حركة الشحنات الموجبة مظبط ولا لا و دايما لما أخدنا كيرشوف قال حطلي اتجاه الطيارة من قطب الموجبة لقطب السلف هذا كله كلام دقيق لكن لما اجوا العلماء يأصلوا نرجع للأصول يأصلوا العلم قالوا انت اي ما هي هي هي اولها صح ولا لأ اول تعريفها فوق وفي تحت Q vector ولا scalar", "tokens": [6027, 9778, 15040, 5172, 16472, 3224, 1975, 5016, 8315, 1975, 2655, 3615, 19528, 8315, 9154, 2423, 16758, 2655, 3215, 16373, 10632, 16472, 41950, 1829, 9640, 3660, 2423, 7578, 1975, 2655, 7435, 40294, 11296, 31439, 39896, 1975, 2655, 7435, 40294, 11331, 31747, 3660, 25124, 5016, 1863, 9307, 9673, 29245, 49401, 3714, 19913, 3555, 9566, 49429, 20193, 4032, 11778, 47302, 15042, 5296, 15042, 5551, 9778, 3215, 8315, 9122, 13546, 8592, 38688, 50239, 11331, 9566, 20292, 1975, 2655, 7435, 40294, 41950, 1829, 9640, 3660, 9154, 12174, 9566, 3555, 9673, 29245, 49401, 5296, 47432, 3555, 21136, 46538, 23758, 28242, 3224, 28242, 10943, 11778, 38436, 4587, 44381, 5296, 15042, 1975, 7435, 14407, 18863, 19528, 16606, 7251, 10721, 36520, 14407, 8717, 47341, 3615, 24976, 10721, 9381, 12610, 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"probability": 0.8126627604166666}, {"start": 861.32, "end": 861.64, "word": " السلف", "probability": 0.520263671875}, {"start": 861.64, "end": 862.08, "word": " هذا", "probability": 0.453369140625}, {"start": 862.08, "end": 862.5, "word": " كله", "probability": 0.9931640625}, {"start": 862.5, "end": 862.86, "word": " كلام", "probability": 0.95361328125}, {"start": 862.86, "end": 863.32, "word": " دقيق", "probability": 0.9921875}, {"start": 863.32, "end": 863.98, "word": " لكن", "probability": 0.8935546875}, {"start": 863.98, "end": 864.22, "word": " لما", "probability": 0.93115234375}, {"start": 864.22, "end": 864.42, "word": " اجوا", "probability": 0.551025390625}, {"start": 864.42, "end": 865.06, "word": " العلماء", "probability": 0.8614908854166666}, {"start": 865.06, "end": 867.12, "word": " يأصلوا", "probability": 0.9019775390625}, {"start": 867.12, "end": 867.58, "word": " نرجع", "probability": 0.6983235677083334}, {"start": 867.58, "end": 868.7, "word": " للأصول", "probability": 0.920654296875}, {"start": 868.7, "end": 869.94, "word": " يأصلوا", "probability": 0.947998046875}, {"start": 869.94, "end": 870.3, "word": " العلم", "probability": 0.9931640625}, {"start": 870.3, "end": 870.84, "word": " قالوا", "probability": 0.958984375}, {"start": 870.84, "end": 871.14, "word": " انت", "probability": 0.805419921875}, {"start": 871.14, "end": 871.36, "word": " اي", "probability": 0.54150390625}, {"start": 871.36, "end": 871.44, "word": " ما", "probability": 0.42138671875}, {"start": 871.44, "end": 871.62, "word": " هي", "probability": 0.9462890625}, {"start": 871.62, "end": 872.02, "word": " هي", "probability": 0.3916015625}, {"start": 872.02, "end": 872.28, "word": " هي", "probability": 0.556640625}, {"start": 872.28, "end": 872.72, "word": " اولها", "probability": 0.8572591145833334}, {"start": 872.72, "end": 872.92, "word": " صح", "probability": 0.986328125}, {"start": 872.92, "end": 873.08, "word": " ولا", "probability": 0.966796875}, {"start": 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يكون Scalar هنا قال هادي vector و هادي vector و عملت ضد ال product إيش بده يطلع؟ برضه Scalar تمام شغل تاني احنا انا بدفع عن فكرة اللي أنا متبنيها أنا Scalar بيجي الدكتور طهر المرة الجاية بدفع عن الشغل التاني", "tokens": [50, 9895, 289, 23032, 3555, 4032, 8592, 30767, 2304, 7649, 22807, 2747, 12031, 23032, 3555, 11933, 29399, 12174, 995, 22488, 39894, 7435, 1829, 3555, 9122, 2304, 10632, 4032, 39894, 39648, 2747, 12031, 15844, 2747, 12031, 9122, 3215, 3224, 4724, 1829, 9381, 13546, 2423, 8062, 11933, 15730, 41850, 9673, 5172, 32887, 11242, 7251, 30544, 2747, 12031, 34105, 50239, 8032, 995, 16254, 8062, 4032, 8032, 995, 16254, 8062, 4032, 6225, 42213, 2655, 48812, 3215, 2423, 1674, 11933, 1829, 8592, 47525, 3224, 7251, 9566, 1211, 3615, 22807, 4724, 43042, 3224, 2747, 12031, 46811, 10943, 13412, 17082, 1211, 6055, 7649, 1829, 1975, 5016, 8315, 1975, 8315, 47525, 5172, 3615, 18871, 6156, 4117, 25720, 13672, 1829, 41850, 44650, 3555, 22653, 11296, 41850, 2747, 12031, 4724, 1829, 7435, 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"probability": 0.91064453125}, {"start": 885.1, "end": 885.6, "word": " كمية", "probability": 0.9861653645833334}, {"start": 885.6, "end": 885.7, "word": " و", "probability": 0.4853515625}, {"start": 885.7, "end": 885.88, "word": " بتقول", "probability": 0.90869140625}, {"start": 885.88, "end": 886.2, "word": " Scalar", "probability": 0.6234130859375}, {"start": 886.2, "end": 886.36, "word": " على", "probability": 0.646484375}, {"start": 886.36, "end": 886.64, "word": " Scalar", "probability": 0.926025390625}, {"start": 886.64, "end": 886.8, "word": " كده", "probability": 0.6581217447916666}, {"start": 886.8, "end": 887.04, "word": " بيصير", "probability": 0.80029296875}, {"start": 887.04, "end": 887.1, "word": " ال", "probability": 0.408447265625}, {"start": 887.1, "end": 887.32, "word": " vector", "probability": 0.49658203125}, {"start": 887.32, "end": 888.54, "word": " إذا", "probability": 0.6492919921875}, {"start": 888.54, "end": 888.66, "word": " أنا", "probability": 0.4453125}, 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"end": 1477.83, "word": " عشان", "probability": 0.9612630208333334}, {"start": 1477.83, "end": 1477.97, "word": " كده", "probability": 0.982421875}, {"start": 1477.97, "end": 1478.11, "word": " إيش", "probability": 0.8097330729166666}, {"start": 1478.11, "end": 1478.83, "word": " بسميه؟", "probability": 0.95615234375}], "temperature": 1.0}, {"id": 56, "seek": 150399, "start": 1479.43, "end": 1503.99, "text": "عند تشغيل مطاولة على مطاولة نسميها بـ Surface Current Density لحرمظه بالرمز K هذا Surface Current Density كيف أعرفه؟ هذه الورقة وهذا التيار يمشي هكذا يجب أن يكون عبارة عن التيار على مطاولة واحدة", "tokens": [3615, 41260, 6055, 8592, 17082, 26895, 3714, 9566, 995, 12610, 3660, 15844, 3714, 9566, 995, 12610, 3660, 8717, 38251, 1829, 11296, 4724, 39184, 36052, 15629, 413, 6859, 5296, 5016, 2288, 2304, 19913, 3224, 20666, 2288, 2304, 11622, 591, 23758, 36052, 15629, 413, 6859, 9122, 33911, 5551, 3615, 28480, 3224, 22807, 29538, 2423, 13063, 28671, 37037, 15730, 16712, 1829, 9640, 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--> 00:00:50,370 +حكينا عن جوا المادة، كنا بنعرف مادة عن مادة بتختلف + +8 +00:00:50,370 --> 00:00:54,190 +احنا عندنا المواد جسمناهم لـ conductors و + +9 +00:00:54,190 --> 00:00:58,730 +insulators. الـ conductors أصلا نحاس غير عن الفضة + +10 +00:00:58,730 --> 00:01:02,450 +غير عن الـ silicon غير عن الجرمانيوم، فبالتالي خواص و + +11 +00:01:02,450 --> 00:01:05,530 +الـ conductors زي ما أنتم عارفين بقالهم بعض الصفات + +12 +00:01:05,530 --> 00:01:08,770 +أو أشهر صفاتين هما الـ ρ و الـ σ اللي هما الـ + +13 +00:01:08,770 --> 00:01:13,120 +conductivity و الـ resistivity. الـ ρ يبنى بعدها + +14 +00:01:13,120 --> 00:01:17,620 +حاجة اسمها الـ R. الـ ρ خاصية للمادة، الـ R هي + +15 +00:01:17,620 --> 00:01:23,960 +كمية فيزيائية للمادة وبتعتمد على الـ ρ، وبتعتمد + +16 +00:01:23,960 --> 00:01:27,060 +على الطول، وبتعتمد على مساحة المقطع، مظبوط ولا لأ؟ + +17 +00:01:27,060 --> 00:01:31,320 +تمام. الـ conductors إيه صفاتها؟ بقول الـ conductors + +18 +00:01:31,320 --> 00:01:37,050 +ميزتها أنها تحتوي على free electrons، صح ولا لأ؟ هذه + +19 +00:01:37,050 --> 00:01:40,210 +الـ free electrons، عندما أضع هذا الكوندكتور في مجال + +20 +00:01:40,210 --> 00:01:44,070 +كهربائي، تظهر كل الإلكترونات الحرة تتحرك بعكس اتجاه + +21 +00:01:44,070 --> 00:01:47,590 +المجال الكهربائي، وبيصير في عندك حركة، وبيصير في + +22 +00:01:47,590 --> 00:01:53,070 +عندك current كهربائي. لكن لما تكون المادة انسوليتور + +23 +00:01:53,070 --> 00:01:56,970 +فمافيش free electrons. طب إذا المجال الكهربائي لما حط + +24 +00:01:56,970 --> 00:01:59,090 +هذا الانسوليتور جوا المجال الكهربائي، إيش بيحصل فيها + +25 +00:01:59,090 --> 00:02:03,550 +هذه المادة؟ وكيف بتتأثر فيها كذا مجال؟ في النهاية، + +26 +00:02:03,550 --> 00:02:06,330 +الـ conductor و الـ insulator عبارة عن atoms، و الـ + +27 +00:02:06,330 --> 00:02:11,170 +atoms مكوناتها positive charges in the nucleus and + +28 +00:02:11,170 --> 00:02:16,010 +negative charges moves around the nucleus، تمام، + +29 +00:02:16,010 --> 00:02:21,170 +إذا في مصطلح بنسميه polarization، الاستقطاب، تمام. + +30 +00:02:21,170 --> 00:02:25,050 +بيقول ليه insulating materials are called + +31 +00:02:25,050 --> 00:02:28,170 +dielectric. الـ dielectric materials اللي أخدناها + +32 +00:02:28,170 --> 00:02:32,150 +في Chapter أربعة في فيزياء 1 لما حكينا عن الـ capacitors + +33 +00:02:32,150 --> 00:02:36,710 +ولما يكون في dielectric، نحط dielectric جوا الـ + +34 +00:02:36,710 --> 00:02:40,290 +capacitors، مش بيصير في السعة بتزيد، مظبوط ولا لأ؟ الـ + +35 +00:02:40,290 --> 00:02:42,630 +dielectric، من زمان قلنا أن الـ dielectric هي عبارة + +36 +00:02:42,630 --> 00:02:47,710 +عن مادة عازلة، حطها جوا الـ capacitors بتتغير + +37 +00:02:49,650 --> 00:02:54,250 +والإلكترونات ليست حرة لتتحرك، مادة عازلة، + +38 +00:02:54,250 --> 00:02:58,310 +يعني ما عندك إلكترونات حرة، بعكس الـ conductors، + +39 +00:02:58,310 --> 00:03:02,590 +لكنها مرتبطة بذرات أو جزيئات محددة. + +40 +00:03:02,890 --> 00:03:06,350 +الإلكترون ليش مش راضي يتحرك؟ لأنها مرتبطة + +41 +00:03:06,350 --> 00:03:11,490 +بالنواة بقوة ضخمة، بقوة كبيرة، غير عن الـ conductors، + +42 +00:03:11,490 --> 00:03:16,410 +احنا بنقول عنها free، لأن قوة ارتباطها بالنواة ضعيفة + +43 +00:03:16,410 --> 00:03:20,450 +جدا بحيث أن درجة حرارة الغرفة بتخليها تفلت من النواة + +44 +00:03:20,450 --> 00:03:27,930 +وبتصير free وبتصير تتجول في المادة. تمام. If a + +45 +00:03:27,930 --> 00:03:32,450 +neutral atom is placed، خلينا نجيب ذرة واحدة، طبعا + +46 +00:03:32,450 --> 00:03:35,050 +ما أنتم عارفين كل مادة، أي كانت، عبارة عن كذا ذرة، + +47 +00:03:35,050 --> 00:03:39,210 +مظبوط ولا لا؟ بدنا نشوف ذرة واحدة، إيش شكل الذرة؟ + +48 +00:03:39,210 --> 00:03:47,220 +بقول هي شكل الذرة، هذه الكرة، وهذه النواة حوالي + +49 +00:03:47,220 --> 00:03:51,980 +النواة الموجودة في الـ center، ولا لا؟ هذه شحنة + +50 +00:03:51,980 --> 00:03:57,100 +موجبة (البروتونات)، ماذا يحصل فيها؟ حواليها، لذلك + +51 +00:03:57,100 --> 00:04:03,530 +يقولون في علم الـ Quantum إن الإلكترونات بتشكل سحابة + +52 +00:04:03,530 --> 00:04:08,770 +حوالين النواة، وبالتالي هذه كلها وكأنها + +53 +00:04:08,770 --> 00:04:13,410 +إلكترونات محيطة بالنواة. فيه عندي إلكترونات ثانية، وكأن + +54 +00:04:13,410 --> 00:04:20,090 +الإلكترونات عبارة عن كرة كلها شحنات سالبة. تمام. هذا + +55 +00:04:20,090 --> 00:04:24,790 +طبعا أخذتو في كيمياء 1 أو في كيمياء... ما بعرف أي + +56 +00:04:24,790 --> 00:04:29,650 +كيمياء، أن الإلكترون بيدور في مدار حوالي النواة، لكن + +57 +00:04:29,650 --> 00:04:34,010 +علميا، وهذا اللي بناخده في الـ Quantum، الإلكترون + +58 +00:04:34,010 --> 00:04:38,290 +مستحيل تقول وين هو، ممنوع تقول وين هو. الـ + +59 +00:04:38,290 --> 00:04:40,630 +Uncertainty Principle اللي سمعتو فيه في الـ Atomic + +60 +00:04:40,630 --> 00:04:44,210 +Physics، Uncertainty Principle اللي هو مبدأ عدم اليقين اللي + +61 +00:04:44,210 --> 00:04:52,890 +بيقول Δx Δp ≥ ħ، ذاكرينه؟ يعني مستحيل تقول Δx تكون صفر، + +62 +00:04:52,890 --> 00:04:57,950 +ذاكرينه؟ يعني مستحيل تقول Δx تكون صفر، + +63 +00:04:57,950 --> 00:05:00,710 +مستحيل تكون Δx تكون صفر، يعني ما فيش إمكانية، + +64 +00:05:00,710 --> 00:05:04,710 +وبالتالي، فيزيائيا ممنوع تقول الإلكترون هنا + +65 +00:05:04,710 --> 00:05:08,250 +بيمشي، لأ، وبندور حول هذه المنطقة، عشان + +66 +00:05:08,250 --> 00:05:10,710 +كده صاروا يقولوا هي عبارة عن سحابة من الإلكترونات + +67 +00:05:10,710 --> 00:05:14,610 +الـ ، يعني هو موجود هنا، هنا موجود، موجود، هنا + +68 +00:05:14,610 --> 00:05:17,050 +موجود، موجود، هنا موجود، موجود، هنا موجود، موجود، + +69 +00:05:17,050 --> 00:05:18,590 +فعبارة عن سحابة، المهم + +70 +00:05:21,920 --> 00:05:26,640 +في مجال كهربائي، في قانون اخذناه قال لي F + +71 +00:05:26,640 --> 00:05:30,860 +بتساوي Q في E، سمعتوا فيه هذا؟ إيش هذا القانون + +72 +00:05:30,860 --> 00:05:34,640 +بيقول؟ كل الشحنات الموجبة بتتحرك باتجاه المجال + +73 +00:05:34,640 --> 00:05:39,520 +والشحنات السالبة بتتحرك بعكس اتجاه المجال. طيب أنا + +74 +00:05:39,520 --> 00:05:44,120 +بتوقع الآن هذا البروتون بيجي هنا ولا بيجيش هنا؟ + +75 +00:05:44,120 --> 00:05:50,580 +بتتحرك مع المجال. الإلكترون مش particle صغير، كرة، هذه + +76 +00:05:50,580 --> 00:05:54,640 +الكرة كلها بتتحرك باتجاه المعاكس، ولا لأ؟ الكرة + +77 +00:05:54,640 --> 00:06:04,160 +كلها بتتحرك باتجاه المعاكس، وكأنه صارت هكذا، اتحركت + +78 +00:06:04,160 --> 00:06:07,980 +قليلا، وكان الـ Center هون، وهذه الـ Center تحركت + +79 +00:06:07,980 --> 00:06:14,280 +إذن هذه صارت الـ Center اللي هي القوة، وهذه سالب + +80 +00:06:14,280 --> 00:06:17,700 +الـ Q، تمام. + +81 +00:06:17,700 --> 00:06:25,790 +هكذا؟ الآن، قبل ما هذا يحصل، بقول إنه + +82 +00:06:25,790 --> 00:06:29,290 +لو بدي أجي أجيب في ضايب الـ moment، إيش هو ضايب الـ + +83 +00:06:29,290 --> 00:06:33,270 +moment؟ ضايب الـ moment هي قانون P بتساوي Q في D، + +84 +00:06:33,270 --> 00:06:41,550 +ذاكرينه؟ D هي المسافة بين الشحنة الموجبة و + +85 +00:06:41,550 --> 00:06:45,410 +الشحنة السالبة. الموجب هو الموجب الموجود في الـ center + +86 +00:06:45,410 --> 00:06:50,600 +حاجة الإلكترون ما إلهوش مكان، بنستعيد عنه بكرة، لو + +87 +00:06:50,600 --> 00:06:55,240 +عندكم كرة كلها مشحونة وبدي أجيب المسافة منها من + +88 +00:06:55,240 --> 00:07:00,200 +أين أجيبها؟ من المركز... من المركز... إذن D هي + +89 +00:07:00,200 --> 00:07:06,000 +المسافة بين الـ nucleus والمركز، قد إيش؟ صفر، بين + +90 +00:07:06,000 --> 00:07:09,000 +الـ nucleus والمركز... وين الـ nucleus؟ أول كان... + +91 +00:07:09,000 --> 00:07:13,440 +فمن المركز كان؟ صفر... إذن ما فيش ضايب moment... + +92 +00:07:13,440 --> 00:07:20,710 +الآن، للـ nucleus... sorry، عندي أنا هون للـ nucleus + +93 +00:07:20,710 --> 00:07:24,450 +بطلت في المركز، للـ nucleus، الشحنات السلبية في + +94 +00:07:24,450 --> 00:07:28,590 +المركز، اعتبرتها، صار في D ولا ماصار في D؟ صار في + +95 +00:07:28,590 --> 00:07:34,910 +D هون. إذن صار في عندي Dipole moment. هذا الـ + +96 +00:07:34,910 --> 00:07:37,530 +Dipole moment من رجوع وجود المجال الكهربائي + +97 +00:07:37,530 --> 00:07:42,110 +الخارجي اللي خلى الحركة تصير، عشان كله دي، بس هما + +98 +00:07:42,110 --> 00:07:45,510 +هنا Dipole moment تأثيره Induced Dipole moment، + +99 +00:07:45,510 --> 00:07:49,930 +اللي جا من تأثير المجال الكهربائي الخارجي. دكتور + +100 +00:07:49,930 --> 00:07:54,170 +ما بعرف، أنا مش فاهم، اسمك، وكيف انتقلت الـ D، كيف صارت + +101 +00:07:54,170 --> 00:07:56,810 +انتقلت من الصفر لهادِ؟ يعني لما انتقلت في مدار... + +102 +00:07:56,810 --> 00:08:02,220 +هادِ؟ حلو. هيجت هذه شحنة موجبة، صح ولا لأ؟ وهذا + +103 +00:08:02,220 --> 00:08:07,220 +القانون بتعرفوه، إيش بيقول هذا؟ أي شحنة موجبة تنوجد + +104 +00:08:07,220 --> 00:08:11,440 +في مجال كهربائي، غصب عنها بيصير عليها قوة وباتجاه + +105 +00:08:11,440 --> 00:08:17,820 +المجال، صح؟ هيجت الـ nucleus شحنة ولا مش شحنة؟ وموجبة. + +106 +00:08:17,820 --> 00:08:22,180 +حطيتها في مجال، غصب عنها بتتحرك باتجاه المجال ولا + +107 +00:08:22,180 --> 00:08:26,380 +لأ؟ طب المجال هيك، وأنا بروح، مش بروح هيك، كانتها + +108 +00:08:27,240 --> 00:08:32,940 +صارت هيك، صح ولا لأ؟ نيجي للشحنة السالبة، بتتحرك مع + +109 +00:08:32,940 --> 00:08:36,660 +المجال ولا عكسه؟ عكسه، لكن الشحنة السالبة ما هو + +110 +00:08:36,660 --> 00:08:39,720 +particle، تقول بالضبط وين هو، عبارة عن بتدور وبتروح + +111 +00:08:39,720 --> 00:08:44,280 +و بتجي، فقلنا بنستعيد عنها وكأنها كرة، كرة يعني + +112 +00:08:44,280 --> 00:08:48,160 +وين مركزها أو موقعها في المركز، هذه الكرة كلها + +113 +00:08:48,160 --> 00:08:52,320 +بتتحرك باتجاه عكس المجال، فالكرة الحمراء صارت كرة + +114 +00:08:52,320 --> 00:08:57,780 +زرقاء، صح؟ فموضع الشحنات السالبة في الـ center، هاي + +115 +00:08:57,780 --> 00:09:02,710 +الشحنات السالبة هون، والـ Nucleus صارت هون، صار في + +116 +00:09:02,710 --> 00:09:06,470 +مسافة بين الـ Nucleus ومركز الشحنات السالبة، ولا + +117 +00:09:06,470 --> 00:09:10,630 +لا؟ هاي اللي عملناها، هذا المركز بنعتبره D، ما زال + +118 +00:09:10,630 --> 00:09:15,630 +صافي عندك للـ Nucleus موجب ومركز فيه شحنات سالب، صار + +119 +00:09:15,630 --> 00:09:18,590 +الـ Dipole moment. وأنا بقول الـ neutral atom يعني + +120 +00:09:18,590 --> 00:09:21,070 +الشحنة الموجبة والشحنة السالبة بتساوي بعض، والشحنة + +121 +00:09:21,070 --> 00:09:25,070 +الـ ديبول شحنة موجبة وشحنة سالبة بتساوي في المقدار، + +122 +00:09:25,070 --> 00:09:29,810 +بينهم مسافة D، متفقين كده؟ إذن صار في ديبول، + +123 +00:09:29,810 --> 00:09:33,750 +هذا الديبول من أوجده؟ المؤثر الخارجي، عشان كده + +124 +00:09:33,750 --> 00:09:37,410 +بنسميه induced dipole، induced dipole. إذن إيش + +125 +00:09:37,410 --> 00:09:41,490 +بيقول لي، if a neutral atom is placed in an + +126 +00:09:41,490 --> 00:09:44,930 +external electric field، حطيتو في مجال كهربائي، إيش + +127 +00:09:44,930 --> 00:09:50,490 +بيحصل؟ بيقول لي it will be polarized. هذا ما نسميه + +128 +00:09:50,490 --> 00:09:53,390 +Polarization. لأنه... لماذا Polarized؟ لأنه أصبح + +129 +00:09:53,390 --> 00:09:59,310 +دايبول، مظبوط ولا لأ؟ With positive charges shift + +130 +00:09:59,310 --> 00:10:03,990 +slightly one way. الـ positive charges اللي هي الـ + +131 +00:10:03,990 --> 00:10:07,790 +nucleus shift slightly one way and negative + +132 +00:10:07,790 --> 00:10:12,090 +charges shift the other way. واحدة بتروح يمين + +133 +00:10:12,090 --> 00:10:18,910 +و الثانية بتروح شمال. تمام. هذا الكلام اكتسبت + +134 +00:10:19,330 --> 00:10:23,290 +acquires a tiny dipole moment. دي بول moment بس صغير + +135 +00:10:23,290 --> 00:10:26,070 +لأن المسافة، حركتها صغيرة. طبعا واحد بيقول ما اتحركتش + +136 +00:10:26,070 --> 00:10:29,630 +ما اتحركتش زي الـ free electrons، تاخد راحتها، بيقول + +137 +00:10:29,630 --> 00:10:32,490 +وقتش اللي حركها كتير، ما هو هذه شحنة موجبة وفي شحنة + +138 +00:10:32,490 --> 00:10:36,710 +سالبة بتجذبها، إذن في عندي قوتين، حركتها شوية + +139 +00:10:36,710 --> 00:10:41,510 +صغيرة، وهي اللي بتميز بينها وبين إيش؟ بين الـ free + +140 +00:10:41,510 --> 00:10:45,170 +electrons. الـ free electrons قوة الجذب بينها وبين + +141 +00:10:45,170 --> 00:10:48,870 +النواة ضعيفة، صح ولا لأ؟ غير عن الـ insulators اللي + +142 +00:10:48,870 --> 00:10:51,990 +احنا بنقول عنها الطاقة تبعها قليلة، مرتبطة، قادرة + +143 +00:10:51,990 --> 00:10:54,950 +يا من قوة، واحنا عارفين كل الطاقة أصلا بتيجي + +144 +00:10:54,950 --> 00:11:00,060 +أصلها من قوة، تمام. إذن، هذا الـ Dipole moment، آه، + +145 +00:11:00,060 --> 00:11:04,360 +الـ Atom بتكتسب tiny، يعني صغير جداً أو صغير جداً، + +146 +00:11:04,360 --> 00:11:08,800 +tiny dipole moment في نفس الاتجاه مثل E، هذا هون + +147 +00:11:08,800 --> 00:11:13,820 +مثل E، ما بعرف عنكم إذا كانت مكتوبة هنا E؟ يعني من + +148 +00:11:13,820 --> 00:11:16,540 +نفس اتجاه الـ E، طبعا من نفس اتجاه الـ E، لأن احنا + +149 +00:11:16,540 --> 00:11:19,340 +بنعرف أن هو الـ Dipole moment من السالب للموجب، وهي + +150 +00:11:19,340 --> 00:11:21,760 +السالب، وهي الموجب، وبالتالي، هاي الـ Dipole moment + +151 +00:11:21,760 --> 00:11:28,750 +تبعي، نفس اتجاه الـ E. تمام. هذا الوقت الوحيد هو الوقت + +152 +00:11:28,750 --> 00:11:31,030 +الوحيد اللي يسمى الوقت...اللي يسمى الوقت...اللي يسمى + +153 +00:11:31,030 --> 00:11:32,890 +الوقت اللي يسمى...الوقت اللي يسمى...الوقت اللي يسمى + +154 +00:11:32,890 --> 00:11:35,350 +الوقت اللي يسمى...الوقت اللي يسمى...الوقت اللي يسمى + +155 +00:11:35,350 --> 00:11:35,510 +الوقت اللي يسمى...الوقت اللي يسمى...الوقت اللي يسمى + +156 +00:11:35,510 --> 00:11:36,610 +الوقت اللي يسمى...الوقت اللي يسمى...الوقت اللي يسمى + +157 +00:11:36,610 --> 00:11:37,510 +الوقت اللي يسمى...الوقت اللي يسمى...الوقت اللي يسمى + +158 +00:11:37,510 --> 00:11:39,430 +الوقت اللي يسمى...الوقت اللي يسمى...الوقت اللي يسمى + +159 +00:11:39,430 --> 00:11:50,450 +الوقت اللي يسمى...الوقت اللي يسمى... + +160 +00:11:52,290 --> 00:11:57,130 +يتناسب طرديًا مع القوة. طيب كل المواد بغض + +161 +00:11:57,130 --> 00:12:02,890 +النظر عن تركيبها بتستجيب للمجال زي بعضها؟ لأ طبعاً + +162 +00:12:02,890 --> 00:12:07,850 +هل بيستجيب الـ conductor زي الزجاج؟ لأ، إذن لابد أن + +163 +00:12:07,850 --> 00:12:11,130 +يكون ثابت التناسب بيعتمد على إيش؟ على طبيعة المادة. + +164 +00:12:11,130 --> 00:12:17,630 +هذا الشيء أعطوه رمز، بنسميه α، وهذه بنسميها + +165 +00:12:17,630 --> 00:12:22,650 +polarizability، polarizability، خاصية الاستقطاب تبع + +166 +00:12:22,650 --> 00:12:26,630 +المادة. α is called the atomic + +167 +00:12:26,630 --> 00:12:31,410 +polarizability. أخذتوها في الفيزياء مرة عليكم؟ + +168 +00:12:32,020 --> 00:12:37,740 +الـ polarizability ولا لسه؟ ما اخذتوها مرة عليكم + +169 +00:12:37,740 --> 00:12:42,710 +لسه؟ الـ α بنسميها الـ Atomic Polarizability. أنتم + +170 +00:12:42,710 --> 00:12:44,790 +ما أخذتوها؟ الـ properties او الـ chapter أظن أنكم + +171 +00:12:44 + +223 +00:16:33,070 --> 00:16:36,450 +من الأجهزة الكهربائية لو هي كهرباء عالية بتشموا ريحة + +224 +00:16:37,410 --> 00:16:40,150 +هذه شمة الريحة، الحرجان برضه كلمة عامية، الحرجان + +225 +00:16:40,150 --> 00:16:45,510 +انحرجت، هي ما انحرجتش، تأينت، هي تأينت، طب من نجاة + +226 +00:16:45,510 --> 00:16:49,250 +الريحة لأنه انطبخت في الآخر، انطبخت، هو الطبيخ ليش + +227 +00:16:49,250 --> 00:16:52,770 +بيطلع الريحة؟ لأنه بصي فيه تفاعلات كيميائية هي + +228 +00:16:52,770 --> 00:16:56,330 +تغيرت طبيعتها، ولما تأينت بتبطل الـ insulator عشان + +229 +00:16:56,330 --> 00:16:59,530 +كده بيقول عن الـ capacitor بعد حاجة بيقول عنه انحرج + +230 +00:16:59,530 --> 00:17:02,610 +ومحطوط في الزبالة ليه؟ لأنه بيقولش هو الـ + +231 +00:17:02,610 --> 00:17:05,390 +insulator، بيقولوا conductor، conductor، ومش بينهم + +232 +00:17:06,710 --> 00:17:10,590 +ماذا يكون في الـ insulator؟ مادة عازلة، مادة عازلة، طب + +233 +00:17:10,590 --> 00:17:14,390 +وإذا العازل هذا سائق (conductor)، بطل كبستير، نحطه + +234 +00:17:14,390 --> 00:17:17,450 +ونحطه في الزبالة، فبنقول عنه أنه حرج، لكن هو بطل + +235 +00:17:17,450 --> 00:17:21,950 +كبستير، وكده هذا بيصير لما يتأين، لما يتفكك، + +236 +00:17:21,950 --> 00:17:26,970 +تمام؟ حكاية عربي؟ ما ترجعش، + +237 +00:17:26,970 --> 00:17:31,590 +أه ما ترجعش، أنت لما تطبخي المجلوبة بترجعيها رز وهذا؟ + +238 +00:17:31,590 --> 00:17:38,570 +ما بترجعش، خلاص أه طبعا احنا حكينا، احنا كنا متابعين + +239 +00:17:38,570 --> 00:17:41,710 +معنا اسمها إنها بتتحرك شوية، بدي أحركها أكتر، قالت + +240 +00:17:41,710 --> 00:17:45,890 +تزيدي المجال، طب إنت في الآخر دا الإليكترونات كلها صارت + +241 +00:17:45,890 --> 00:17:49,430 +زي الـ conductor، صارت زي الـ free electrons، صحيح ولا + +242 +00:17:49,430 --> 00:17:55,090 +لأ؟ ده ما بترجعش، يعني لو في تلاجة ترجّعيها كان عكس + +243 +00:17:55,090 --> 00:17:58,670 +اللي هي الـ process المعكوسة، كان في شغلات كتير + +244 +00:17:58,670 --> 00:18:02,210 +مرجعها من الطبخات اللي بتعجبنا، نفس العملية + +245 +00:18:02,210 --> 00:18:03,530 +احكوا يعني + +246 +00:18:12,260 --> 00:18:17,320 +أرطال، طب حاجتك أنت لو الدكتور سمعك برضه إنك تقولي + +247 +00:18:17,320 --> 00:18:21,860 +الإلكترون بيبعد، بيبطل + +248 +00:18:21,860 --> 00:18:25,060 +هذا الكلام، هذا الكلام في سنة أولى، هذا الكلام في + +249 +00:18:25,060 --> 00:18:28,360 +سنة أولى، لكن في سنة تالتة ورابعة هذا الكلام بيبقى + +250 +00:18:28,360 --> 00:18:31,540 +أدق، عشان كده بنقول عنها cloud of negative + +251 +00:18:31,540 --> 00:18:36,160 +charges، ما فيش exact position، ما فيش exact + +252 +00:18:36,160 --> 00:18:39,120 +position، ده الإلكترون، وبالتالي بنعتبر، بنحسب + +253 +00:18:39,120 --> 00:18:42,100 +بنستعيد عنه إن وين موجود، الـ average في الـ center + +254 +00:18:42,100 --> 00:18:45,900 +هذا هو، طبعا أنت ممكن أخذت وفصلت الـ hydrogen atom + +255 +00:18:45,900 --> 00:18:49,680 +لسه الـ hydrogen atom، طبعا في بعض الأسئلة بقول لك أو + +256 +00:18:49,680 --> 00:18:52,840 +ديو ديلي، احتمالية وجود الـ particle أقرب جنب النواة + +257 +00:18:52,840 --> 00:18:56,040 +وبالتالي في احتماليّة .. إذا هو .. احنا بنقول هيكون + +258 +00:18:56,040 --> 00:18:59,980 +لكن في احتمالية وجودها، عشان كده بتصير وكأنه + +259 +00:18:59,980 --> 00:19:05,100 +continuous في كل مكان، بس بنسب مختلفة، فهمت عليّ؟ + +260 +00:19:05,100 --> 00:19:09,780 +كيف؟ تمام، أيه الكبستير آخر؟ تمام، هذا حتى الآن مش + +261 +00:19:09,780 --> 00:19:12,460 +هيقلقكم كتير، يعني هذا حتى المعادلة هذه مش هتمر + +262 +00:19:12,460 --> 00:19:16,760 +علينا كتير يعني، هذه بس هيك، عرفنا إن الـ Atomic + +263 +00:19:16,760 --> 00:19:21,140 +الـ Atomically Neutral بوجود المجال الكهربائي حتى لو + +264 +00:19:21,140 --> 00:19:24,020 +ضعيف الـ insulator، والمجال مش كبير، ده اتحركت هملاكا + +265 +00:19:24,020 --> 00:19:27,380 +من الأنغستروم، بيصيرها في B، إذا هذا الـ B نوجد، + +266 +00:19:27,380 --> 00:19:32,130 +سمّينه Induced Dipole Moment، بيعتمد عليه، بيعتمد عليه + +267 +00:19:32,130 --> 00:19:36,010 +ثابت التناثر، بيختلف من مادة لمادة، هذا بيسموه الـ + +268 +00:19:36,010 --> 00:19:38,750 +polarizability، هاي اللي أخذناها لحد الآن، تمام، إيش + +269 +00:19:38,750 --> 00:19:42,770 +بيقول لي هالجيت؟ اتفجنا، بيقول لي الـ calculate طيب + +270 +00:19:42,770 --> 00:19:45,010 +Alpha لها الأتم؟ بيقول لي إيش Alpha؟ طبعا احنا + +271 +00:19:45,010 --> 00:19:48,630 +اتحركنا واتفجنا إن المجال مش كبير كتير، يا نسمع + +272 +00:19:48,630 --> 00:19:52,690 +اتحرك عشرة أنغستروم ووقف، إيش يعني وقف؟ سرعة + +273 +00:19:52,690 --> 00:20:04,810 +equilibrium، صح؟ وقف، النواة هي موقعها، كم قوة عليها؟ + +274 +00:20:04,810 --> 00:20:09,910 +إيش اللي وقفها وما خلاها تتحرك؟ هي اللي حركها + +275 +00:20:09,910 --> 00:20:14,700 +المجال، صح؟ طب إيش اللي ما خلاها تتحرك أكتر؟ اللي هي + +276 +00:20:14,700 --> 00:20:18,200 +قوة التجاذب بينها وبين الإلكترون، صح ولا لأ؟ هدول + +277 +00:20:18,200 --> 00:20:21,080 +هالجيت لما بيقول وكفّت تتساوي ولا ما تتساوَش؟ اتساوَت + +278 +00:20:21,080 --> 00:20:23,840 +عشان كده كل ما كانت القوة هذه اللي هي بينها وبين + +279 +00:20:23,840 --> 00:20:27,280 +الإلكترون أقوى ما تتحركش كتير، صح، كل ما ضعفت بتتحرك + +280 +00:20:27,280 --> 00:20:29,600 +أكتر، عشان كده في الـ conductor ب تتحرك على طول لإنه + +281 +00:20:29,600 --> 00:20:33,420 +قوة ضعيفة، تمام، بدنا نساوي القوتين هدول لإنه خلاص + +282 +00:20:33,420 --> 00:20:35,800 +صارت هنا at equilibrium، نساوي القوتين + +283 +00:20:38,450 --> 00:20:41,410 +بيقول لي الـ nucleus is acted upon .. بيقول لي الـ + +284 +00:20:41,410 --> 00:20:45,470 +nucleus عليها قوتين زي ما حكينا، مظبوط ولا لأ؟ By + +285 +00:20:45,470 --> 00:20:49,190 +two fields، the external field اللي حركها ولما + +286 +00:20:49,190 --> 00:20:53,510 +خلتها تتحرك أكتر، قوة الجذب بينها أو بين الإلكترون، + +287 +00:20:53,510 --> 00:20:57,650 +الأصل واحدة بتوديها هنا وواحدة بتوديها هنا، هذه Q + +288 +00:20:57,650 --> 00:21:04,110 +في الـ E external، وهذه عبارة عن Q في E تبع الـ + +289 +00:21:04,110 --> 00:21:07,730 +negative charges، صح ولا لأ؟ طبعا هذه Q مع Q بدأ + +290 +00:21:07,730 --> 00:21:11,390 +تضادّها، فبتصير E external بيساوي E تبع الـ negative + +291 +00:21:11,390 --> 00:21:15,370 +charges، عكس بعيد ولا مش عكس بعيد؟ عكس بعيد، إذا for + +292 +00:21:15,370 --> 00:21:18,710 +the nucleus to be at equilibrium we have E + +293 +00:21:18,710 --> 00:21:22,490 +external بيساوي سالب E تبع الـ negative charges + +294 +00:21:22,490 --> 00:21:27,250 +electrons، برضه سؤال، أيه .. احكي يا نور + +295 +00:21:31,260 --> 00:21:38,300 +طبعا ما فلتتش، نور، إذا فلتت بطلت مادة، نفترض أنا + +296 +00:21:38,300 --> 00:21:42,440 +عندي الزجاج، إذا فلتت بطلت زجاج، وأنتم عارفين + +297 +00:21:42,440 --> 00:21:48,280 +الزجاج مين سيّح، مظبوط؟ إذا فلتت وتأينت بطلت + +298 +00:21:48,280 --> 00:21:51,560 +مادة اللي بتحكي فيها، صارت مادة أخرى، وبالتالي أنت + +299 +00:21:51,560 --> 00:21:55,280 +بتشتغل مع موضوع تاني، أنا مثل الزجاج زي ما هو + +300 +00:21:55,280 --> 00:22:00,920 +شايفه وحطيته في مجال، اتحركنا شوية، ما فلتش، فهمت عليّ؟ + +301 +00:22:00,920 --> 00:22:04,560 +بتظل في عندي إيه؟ ليش ما اتحركش أكتر؟ لأنه في قوتين + +302 +00:22:04,560 --> 00:22:08,740 +اتعادلت، وخلاص بعد عشرة أنغستروم زي ما اتفجنا، حلو + +303 +00:22:08,740 --> 00:22:14,320 +طيب هالقوة الـ external؟ سهل، ما انت أدّيتني إيه؟ هذا من + +304 +00:22:14,320 --> 00:22:20,480 +وين جايّ الإيه؟ من الإلكترونات، هل بقدر أقول إيه؟ + +305 +00:22:20,480 --> 00:22:26,100 +أعتبر الإلكترون إيه، بتساوي KQ على R تربيع، وأعتبره + +306 +00:22:26,100 --> 00:22:31,060 +point of charge؟ بقدر اعتبره موجودة عند نقطة معينة؟ + +307 +00:22:31,060 --> 00:22:36,080 +لأ، وقته نقّضنا، هاي إيش هتسوي؟ ما أنت تقوله عبارة عن + +308 +00:22:36,080 --> 00:22:40,080 +كرة، بس هو عبارة عن كرة كلها شحنات، برجع لـ + +309 +00:22:40,080 --> 00:22:44,910 +chapter 2، solid sphere، بدي أجيب المجال من Gauss + +310 +00:22:44,910 --> 00:22:52,210 +law بتاعتي، إذا معناته from an example 2.2 شدّة + +311 +00:22:52,210 --> 00:22:57,810 +المجال داخل أيّ كرة من Gauss law بتساوي capital Q + +312 +00:22:57,810 --> 00:23:01,710 +شحنات تبع الكرة في small r، النقطة اللي جوا يعني + +313 +00:23:01,710 --> 00:23:07,130 +أنت هاي عندك كرة بدّك تجيب شدّة المجال هنا، فهي أه + +314 +00:23:07,130 --> 00:23:11,560 +صح ولا لأ؟ تمام، أنت وإن بدّك المجال؟ أشوف بدّي المجال + +315 +00:23:11,560 --> 00:23:18,260 +هنا، أنا بشغل على نيوكلياز، R إيش بتساوي؟ D، R بتساوي + +316 +00:23:18,260 --> 00:23:26,200 +D، والـ total charge هي Q بالسالب، تمام؟ + +317 +00:23:26,200 --> 00:23:29,440 +إذا بدل capital Q حطّيت اسم الـ Q، وبدل R حطّيت الـ D + +318 +00:23:29,440 --> 00:23:32,120 +وعلى القانون اللي أنتم عارفينه، هو R تكعيب، لأن هذا + +319 +00:23:32,120 --> 00:23:35,780 +نصف القطر، اعتبرته A تكعيب، الـ Q في الـ D مرّ علينا إن + +320 +00:23:35,780 --> 00:23:41,720 +هو B، هو P، طيب طلّعتها، المعادلة الحلوة، فما أنت توي + +321 +00:23:41,720 --> 00:23:46,620 +قلت لي E، أو قلنا نقول P بتساوي Alpha في E، وأنا + +322 +00:23:46,620 --> 00:23:50,880 +ما اقتنعت توي، هو المعادلة الوحيدة اللي أخذتها وهنا + +323 +00:23:50,880 --> 00:23:56,660 +.. مين يجيب لي P من هنا؟ + +324 +00:23:56,660 --> 00:24:00,700 +جيبولي + +325 +00:24:00,700 --> 00:24:08,800 +Alpha، بيان؟ فهي Alpha، الألفا، بيساوي أربعة باي ابسلون نوت + +326 +00:24:08,800 --> 00:24:15,180 +كيب ابسلون نوت، صح ولا لأ؟ طيب، هذه لو عملتها هيك + +327 +00:24:15,180 --> 00:24:21,020 +وعملتها هيك، إيش هذا؟ إذا بقدر أقول هذه عبارة عن + +328 +00:24:21,020 --> 00:24:26,040 +ثلاثة ابسلون نوت في الـ volume، صح + +329 +00:24:26,040 --> 00:24:27,260 +ولا لأ؟ هي الألفا + +330 +00:24:35,230 --> 00:24:42,870 +نمحي هذه الشغلات كلها، تمام + +331 +00:24:42,870 --> 00:24:48,230 +هذه المادة اللي هي مش molecular، أنتم عارفين + +332 +00:24:48,230 --> 00:24:51,070 +كيميائيا، بيسموها، في بعض المواد زي الميّة، molecular + +333 +00:24:51,070 --> 00:24:56,090 +material، الميّة عبارة عن .. يعني أشهر مادة، dipoles + +334 +00:24:56,090 --> 00:24:59,910 +عندها، هي الميّة، جزيئات الميّة، بيقولوا عندها، صح ولا + +335 +00:24:59,910 --> 00:25:04,270 +لأ؟ إذا الميّة متكونة من جزيئات، alignment of polar + +336 +00:25:04,270 --> 00:25:09,680 +molecules، مادة polar، أصلا هي polar، when polar + +337 +00:25:09,680 --> 00:25:14,340 +molecules with permanent dipole moment، فيها أصلا + +338 +00:25:14,340 --> 00:25:18,260 +دايبول، ما جاش الدايبول من تأثير خارجي، هي مكوّنة من + +339 +00:25:18,260 --> 00:25:23,040 +دايبولات، are placed in an external electric field + +340 +00:25:23,040 --> 00:25:28,660 +هاي الدايبول، الدايبول عبارة عن إيه؟ شحنة سالبة، شحنة + +341 +00:25:28,660 --> 00:25:33,560 +موجبة، بينهم مسافة دي، حطّيناهم في مجال كهربائي + +342 +00:25:33,560 --> 00:25:37,160 +حطّيناهم في مجال كهربائي، إيش بدّه يصير؟ مش أنت + +343 +00:25:37,160 --> 00:25:42,970 +بتقول لي هنا Q في الـ E، وهنا Q في الـ E، بس باتجاه + +344 +00:25:42,970 --> 00:25:53,850 +المعاكس، صح ولا لأ؟ هذا اعتبره عبارة عن جسم واحد + +345 +00:25:53,850 --> 00:25:57,290 +بيشد هيك، وواحد بيشد هيك، بتصير فيه؟ بتصير torque + +346 +00:25:57,290 --> 00:26:04,790 +طيب الـ torque عبارة عن قوة جاية من وين؟ طيب القوتين الـ + +347 +00:26:04,790 --> 00:26:08,070 +torque تبعهم، كيف اتجاههم؟ مع عقارب الساعة ولا ضدّ + +348 +00:26:08,070 --> 00:26:08,830 +عقارب الساعة؟ + +349 +00:26:15,920 --> 00:26:23,300 +نخليهم الاثنين، نجمعهم، ما نخليش يعني، الاثنين يعني بدّي + +350 +00:26:23,300 --> 00:26:27,420 +أجمع ولا أطرح؟ بدّي أجمع، يعني بجمعهم مع بعض، مع أن + +351 +00:26:27,420 --> 00:26:30,900 +القوتين عكس بعض، مش هو كل واحد بعكس الثاني، طب الـ + +352 +00:26:30,900 --> 00:26:37,440 +torque إيش بيساوي؟ قوة في الذراع، أو بالأساس الـ + +353 +00:26:37,440 --> 00:26:42,350 +torque اللي برمز له برمز N، هو عبارة عن R × F، وهذه + +354 +00:26:42,350 --> 00:26:45,330 +ارثان الزاوية، هي كانت الذراع، كنا نعملها، صح؟ أما + +355 +00:26:45,330 --> 00:26:50,730 +أصل القانون R × F، إذا في عندي torque، هذه القوتين + +356 +00:26:50,730 --> 00:26:58,530 +تساوي، امحي من هنا، أصلا هذه، اتجاهها أسهل، تمام، إذا الـ + +357 +00:26:58,530 --> 00:27:04,720 +torque بتساوي R plus، يعني مسافة R plus تبعات + +358 +00:27:04,720 --> 00:27:09,420 +الـ plus × F تبعات الشحنة الموجبة، زائد R تبعات + +359 +00:27:09,420 --> 00:27:12,880 +الشحنة السالبة × F تبعات الشحنة السالبة، طب وين + +360 +00:27:12,880 --> 00:27:14,460 +R تبعات الشحنة الموجبة و R تبعات الشحنة الموجبة؟ + +361 +00:27:14,460 --> 00:27:19,000 +هاي R تبعات الشحنة الموجبة، وهديك هيها، مظبوط ولا + +362 +00:27:19,000 --> 00:27:22,800 +لأ؟ واحد موجب، ما احنا هيك، فبتصير واحدة منهم دي + +363 +00:27:22,800 --> 00:27:25,940 +على اثنين، والثانية سالب دي على اثنين، عشان عكسها + +364 +00:27:25,940 --> 00:27:32,560 +تمام، R plus D ع 2 × الـ Q في الـ E، أفقيا .. + +365 +00:27:32,560 --> 00:27:36,560 +بتساوي الـ Q في الـ E، زائد الثاني R السالب، سالب D + +366 +00:27:36,560 --> 00:27:41,020 +ع 2، أنا معكوسة الـ cross كـ قوّة .. كـ vector، ناقص الـ + +367 +00:27:41,020 --> 00:27:45,560 +Q في الـ E، فصارت عبارة عن الـ Q في الـ D، الـ Q في + +368 +00:27:45,560 --> 00:27:49,780 +الـ D × الـ E، اللي هي P × الـ E، طبعا لما + +369 +00:27:49,780 --> 00:27:54,020 +يصير في عندي Anna Turk، إيش بتصير في الدايبول؟ + +370 +00:27:54,020 --> 00:28:01,520 +بيلف، طيب، هذه لفّة، صار الـ positive هنا نفترض أو + +371 +00:28:01,520 --> 00:28:05,060 +خليني أقول الـ positive هنا، والـ negative هنا، لفّة + +372 +00:28:05,060 --> 00:28:09,740 +بعد كده بتلفّ؟ حاجة في هذه القوّة، وهذه القوّة في + +373 +00:28:09,740 --> 00:28:17,560 +torque هيك؟ لأ، في هذه الحالة B اتجاه الـ B والـ E + +374 +00:28:17,560 --> 00:28:22,220 +اتجاهه كده، بيتزاوج بين الـ B والـ E لما يلفّ؟ Zero + +375 +00:28:22,220 --> 00:28:27,770 +والـ cross بده كوساين ولا ساين؟ وساين Zero، إذا لما يكون + +376 +00:28:27,770 --> 00:28:32,690 +هيك، ما فيش torque أصلا، صحيح ولا لأ؟ تمام، هالجيت، خلينا نتذكر + +377 +00:28:32,690 --> 00:28:36,990 +بقى شوية، بقى قبل ما نرجع، هذه المادة بيسمّيها عبارة + +378 +00:28:36,990 --> 00:28:40,350 +عن دايبولات جواها، دايبولات كتيرة، هذه المادة + +379 +00:28:40,350 --> 00:28:43,930 +بيسمّيها polar material، هذه أخذناها فيزياء، بقى اتذكر + +380 +00:28:43,930 --> 00:28:50,170 +الواحد، تمام، هذه مادة polar، إيش يعني polar؟ عبارة عن + +381 +00:28:50,170 --> 00:28:57,090 +جواها أكتر من دايبول، كيف مصفّطين؟ عشوائي، بقول أنا كلّ + +382 +00:28:57,090 --> 00:29:01,210 +واحد له مجال، والـ Dipole الوحيد أخذناه في نهاية + +383 +00:29:01,210 --> 00:29:08,710 +الـ Chapter الماضي، بيقول لنا V عبارة عن K P . R hat على + +384 +00:29:08,710 --> 00:29:13,430 +R تربيع، هذه للـ Dipole الواحد، صح ولا لأ؟ طبعا، لو + +385 +00:29:13,430 --> 00:29:16,410 + +445 +00:33:32,840 --> 00:33:38,440 +ساعتها جوه إيش بيصير المجال؟ Zero لو كانت conductor + +446 +00:33:38,440 --> 00:33:41,620 +لازم يساوي صفر لو insulator لأ، ما بيساوي صفر بس + +447 +00:33:41,620 --> 00:33:47,780 +المجال بينقص شوية، تمام؟ هاي معناها استقطاب، حلو نرجع + +448 +00:33:47,780 --> 00:33:53,900 +بس هنا إذا قلنا أن torque بيساوي P × E + +449 +00:33:53,900 --> 00:33:58,940 +this torque makes the molecules to line up + +450 +00:33:58,940 --> 00:34:05,040 +parallel to the field، بتصفّطوا، line up، بترتبوا مع + +451 +00:34:05,040 --> 00:34:11,850 +المجال الكهربائي، to find the potential energy نريد + +452 +00:34:11,850 --> 00:34:14,590 +أن نشوف ال potential energy اللي اتخذها الجو + +453 +00:34:14,590 --> 00:34:17,290 +ونتيجة الدوران نريد أن نشوف ال potential energy + +454 +00:34:17,290 --> 00:34:19,350 +اللي اتخذها الجو ونتيجة الدوران نريد أن نشوف ال + +455 +00:34:19,350 --> 00:34:20,390 +نريد أن نشوف ال potential energy اللي اتخذها الجو + +456 +00:34:20,390 --> 00:34:20,890 +ونتيجة الدوران نريد أن نشوف ال potential energy + +457 +00:34:20,890 --> 00:34:26,230 +اللي اتخذها الجو ونتيجة الدوران نريد أن نشوف ال + +458 +00:34:26,230 --> 00:34:26,390 +potential energy اللي اتخذها الجو ونتيجة الدوران + +459 +00:34:26,390 --> 00:34:27,170 +نريد أن نشوف ال potential energy اللي اتخذها الجو + +460 +00:34:27,170 --> 00:34:28,190 +ونتيجة الدوران نريد أن نشوف ال potential energy + +461 +00:34:28,190 --> 00:34:30,430 +اللي اتخذها الجو ونتيجة الدوران، أنتم بتعرفوا + +462 +00:34:30,430 --> 00:34:33,290 +الحركة الدورانية؟ في الحركة الدورانية، زمان في + +463 +00:34:33,290 --> 00:34:36,410 +chapter 10 في فيزياء 1، في الآخر قلنا في chapter + +464 +00:34:36,410 --> 00:34:41,290 +10، إحنا بنعيد كل المادة، صح ولا لأ؟ كيف بتعيدوا كل + +465 +00:34:41,290 --> 00:34:45,910 +المادة؟ بنقول كل حاجة أخذتوها تستبدل بنظير لها + +466 +00:34:45,910 --> 00:34:50,490 +وأول حاجة الإزاحة، بدل ما هي X أو Y، إيش بتصير + +467 +00:34:50,490 --> 00:34:56,050 +الإزاحة الزاوية؟ ثيتا، صح؟ بتصير X في الحركة + +468 +00:34:56,050 --> 00:35:05,370 +الدورانية بتصير ثيتا، طب ω؟ طب α؟ + +469 +00:35:05,370 --> 00:35:09,210 +عاليه؟ + +470 +00:35:09,210 --> 00:35:12,970 +طورك؟ + +471 +00:35:12,970 --> 00:35:20,670 +ال linear momentum اللي بيساوي M × V، الـ + +472 +00:35:20,670 --> 00:35:24,930 +angular momentum، طب سؤالي إيه لكم هجيتي M كيف + +473 +00:35:24,930 --> 00:35:26,510 +تستخدم؟ الشيء μ + +474 +00:35:32,310 --> 00:35:42,690 +م، هذي كتلة إيش في حركة دورانية؟ الـ + +475 +00:35:42,690 --> 00:35:48,430 +moment of inertia، ماشي + +476 +00:35:48,430 --> 00:35:52,650 +ال moment of inertia هي الكتلة الدورانية، عشان كده + +477 +00:35:52,650 --> 00:35:59,490 +بنقول F = Ma، ولا لأ؟ تعرفوا هذا القانون؟ بتحوّله + +478 +00:35:59,490 --> 00:36:05,810 +لحركة دورانية، إيش بدل الـ F بيكون؟ τ بدل هذه، وهذه الـ + +479 +00:36:05,810 --> 00:36:11,030 +Angular Acceleration، عشان كده هذه M × V مين؟ قول لي + +480 +00:36:11,030 --> 00:36:16,330 +هذه إيش بيساوي؟ إيش بدل M مضبوط؟ وهذه سمعتوا + +481 +00:36:16,330 --> 00:36:23,350 +فيها؟ I × ω، I × ω، إذًا I هي بتبدّل M + +482 +00:36:23,350 --> 00:36:27,790 +طيب، أنا كنت هتشوف إن إيش جاب سيره، بدأتي بالـ + +483 +00:36:27,790 --> 00:36:32,560 +work، وقلت لهم الـ work، أنا معرفة إنه F × dS، صح + +484 +00:36:32,560 --> 00:36:36,780 +ولا لأ؟ هجيبه يعملوا دوران، إيش بدل الـα هيكون؟ + +485 +00:36:36,780 --> 00:36:42,860 +وبدل الـdS؟ dθ، طيب، + +486 +00:36:42,860 --> 00:36:50,820 +برضه كمان معلومة، هذه إيش وحدتها؟ جول، وهذه + +487 +00:36:50,820 --> 00:36:56,200 +وهذه، إذا الـNewton × المتر هو الجول، إيش وحدة + +488 +00:36:56,200 --> 00:37:02,420 +الـTorque؟ قوة × إيه، السؤال؟ قولت جول، إذا ما كانت + +489 +00:37:02,420 --> 00:37:09,060 +وحدة torque نيوتن.متر والجول.. إذا هل واحدة + +490 +00:37:09,060 --> 00:37:13,740 +هي هي، عشان كده مرات كنت أقول لهم أسئلة في فيزياء ألف + +491 +00:37:13,740 --> 00:37:17,540 +الـ torque وحدة جول ما كانتش اللي هي لحالها واحد طلع + +492 +00:37:17,540 --> 00:37:21,960 +فيها، وين الـ torque مش موجودة، هي الجول، لكن طبعا + +493 +00:37:21,960 --> 00:37:24,820 +الجول غريبة شوية، عشان كده مرات بيقولوا الـ torque + +494 +00:37:24,820 --> 00:37:28,780 +ما بيقولوش نيوتن.متر، بيقولوا متر.نيوتن عشان يميزوا + +495 +00:37:28,780 --> 00:37:35,520 +بينهم، تمام؟ طب لأن هدى.. إيش وحدة هدى؟ ما فيش لها + +496 +00:37:35,520 --> 00:37:38,720 +وحدة في الذكية، أنا ما بعرفش لها وحدة، ما فيش لها وحدة + +497 +00:37:38,720 --> 00:37:45,480 +عشان كده جول، جول، جول، جول، مظبوط ولا لأ؟ تمام، أنا بس + +498 +00:37:45,480 --> 00:37:48,540 +عشان أقول إن الـwork بيساوي τ dθ، ما حد يقول لي من + +499 +00:37:48,540 --> 00:37:52,180 +أين جيبت القانون هذا، تمام؟ أخذنا في الـphysics + +500 +00:37:52,180 --> 00:37:57,000 +بيقول لي أنا بدي أجيب potential energy، بقول زمان + +501 +00:37:57,000 --> 00:38:00,820 +أخذنا أن الشغل بيساوي معدل تغير الـ ΔU، والشغل + +502 +00:38:00,820 --> 00:38:05,200 +بيساوي τ dθ، how do you find النقص U initial، τ + +503 +00:38:05,200 --> 00:38:10,160 +بيجيبها منها، بي × E × cos الزاوية، بي × E × + +504 +00:38:10,160 --> 00:38:14,640 +cos الزاوية، إيش تفاضل cos الثيتا؟ dθ، التكامل + +505 +00:38:15,910 --> 00:38:20,210 +سالب cos θ، فسالب cos θ من نقطة لنقطة + +506 +00:38:20,210 --> 00:38:24,050 +بيجيبها بيصير نقطة نقص نقطة، طبعا في الـ + +507 +00:38:24,050 --> 00:38:28,130 +potential energy، دايما إحنا بنكون بنعمل إنه عند نقطة + +508 +00:38:28,130 --> 00:38:31,810 +معينة بنعتبر ال potential energy صفر، ولا لأ؟ زي ما + +509 +00:38:31,810 --> 00:38:34,670 +كنا نقول من نقطة نهائية لنقطة، وبالتالي عند نقطة + +510 +00:38:34,670 --> 00:38:38,750 +نهائية بالصفر، أو أنا ببدأ أجيب هذا من ها له + +511 +00:38:38,750 --> 00:38:43,230 +كيف أجيب دلتا U؟ جسمها، ساعتها U initial بتعتبره صفر + +512 +00:38:43,230 --> 00:38:50,710 +فلو بدأت أعتبر هذه كلها صفر، يعني τ θ بيعطيني هذا + +513 +00:38:50,710 --> 00:38:55,970 +..هذا.. أنا هيك هعطيه بس taking θ معناته الـ + +514 +00:38:55,970 --> 00:39:02,570 +U بيساوي سالب P ⋅ E، هذا سؤال، هذا سؤال في + +515 +00:39:02,570 --> 00:39:06,090 +الكتاب، بس أنا عم اعمله، مش عارف إيش رقمه، هذا أحد + +516 +00:39:06,090 --> 00:39:08,590 +الأسئلة، بيقول لك prove that U بيساوي سالب P ⋅ E + +517 +00:39:08,590 --> 00:39:09,930 +فهنا أنا عملته في الشرح + +518 +00:39:13,820 --> 00:39:16,260 +طبعا بيقول if the minimum value of U is occurred + +519 +00:39:16,260 --> 00:39:19,460 +when θ بيساوي صفر، لأنه لما θ بيساوي صفر U بيساوي + +520 +00:39:19,460 --> 00:39:23,540 +سالب PE، ولما θ بيساوي π/2 بيساوي P بيساوي + +521 +00:39:23,540 --> 00:39:29,000 +موجب PE، صح ولا لأ؟ لأن cos الـ π سالب بتصير موجب + +522 +00:39:29,000 --> 00:39:33,000 +بقى طيب + +523 +00:39:33,000 --> 00:39:38,360 +بيقول لو كان المجال غير uniform، إيش يعني غير + +524 +00:39:38,360 --> 00:39:41,670 +uniform؟ ده ليه رجع هنا؟ بعدين عشان نكملها بعدين + +525 +00:39:41,670 --> 00:39:47,190 +أنت طبعا عملت لي QE وهنا QE، صح؟ الشيء هذا والشيء + +526 +00:39:47,190 --> 00:39:53,530 +هذا المجال، هنا هي QE + وهي QE -، لو كان + +527 +00:39:53,530 --> 00:39:57,310 +هذا uniform، E هنا بيساوي E هنا، طب لو الـ E هنا + +528 +00:39:57,310 --> 00:40:00,370 +بيساويش الـ E هنا، إيش بقدر أسوي؟ بنشوف إيش المراجعين + +529 +00:40:00,370 --> 00:40:05,590 +عملها، تمام؟ عشان أنا بديها تصير فيها average، وتغير + +530 +00:40:05,590 --> 00:40:10,930 +ومش تغير، فبنعمله إن شاء الله المرة اللي جايه diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/OPjAe4SdVcM_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/OPjAe4SdVcM_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..0ca7b04ba55c8c916bb4f048c2969fe7325284b5 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/OPjAe4SdVcM_postprocess.srt @@ -0,0 +1,2120 @@ +1 +00:00:21,480 --> 00:00:25,460 +هنبدأ بـ Chapter الرابع وزي ما حكينا في المحاضرة + +2 +00:00:25,460 --> 00:00:29,760 +الماضية ال Chapter الرابع هنتحدث تقريبا عن نفس ال + +3 +00:00:29,760 --> 00:00:34,140 +concepts ونفس المفاهيم لكن فيه شوية اختلاف اني + +4 +00:00:34,140 --> 00:00:37,780 +بتتعامل الآن مع المادة وتأثيرها على المجال + +5 +00:00:37,780 --> 00:00:41,160 +الكهربائي وعلى الجهد الكهربائي عنوان ال Chapter هو + +6 +00:00:41,160 --> 00:00:46,130 +Electric Fields in Matter جوا المادةوطبعا ما زال + +7 +00:00:46,130 --> 00:00:50,370 +حكينا عن جوا المادة كنا بنعرف مادة عن مادة بتختلف + +8 +00:00:50,370 --> 00:00:54,190 +احنا عندنا المواد جسمناهم ل conductors و + +9 +00:00:54,190 --> 00:00:58,730 +insulators ال conductors اصلا انحاس غير عن الفضة + +10 +00:00:58,730 --> 00:01:02,450 +غير عن ال silicon غير عن الجرمانيوم فقالهم خواص و + +11 +00:01:02,450 --> 00:01:05,530 +ال conductors زي ما انتوا عارفين بقالهم بعض الصفات + +12 +00:01:05,530 --> 00:01:08,770 +او اشهر صفاتين هم ال raw و ال sigma اللي هم ال + +13 +00:01:08,770 --> 00:01:13,120 +conductivity و ال resistivity و ال rawيبنى بعدها + +14 +00:01:13,120 --> 00:01:17,620 +حاجة اسمها الـ R الـ Raw خاصية للمادة الـ R هي + +15 +00:01:17,620 --> 00:01:23,960 +كمية فيزيائية للمادة وبتعتمد على الـ Raw وبتعتمد + +16 +00:01:23,960 --> 00:01:27,060 +على الطول وبتعتمد على مساحة المقطع، مظبوط ولا لأ؟ + +17 +00:01:27,060 --> 00:01:31,320 +تمام ال conductors إيه صفاتها؟ بقول ال conductors + +18 +00:01:31,320 --> 00:01:37,050 +ميزتها إنه تحتوي على free electrons صح ولا لأ؟هذه + +19 +00:01:37,050 --> 00:01:40,210 +الـ Free Electrons عندما أضع هذا الكندكتور في مجال + +20 +00:01:40,210 --> 00:01:44,070 +كهربائي يظهر كل الإلكترونات الحرة تتحرك بعكس اتجاه + +21 +00:01:44,070 --> 00:01:47,590 +المجال الكهربائي وبيصير في عندك حركة وبيصير في + +22 +00:01:47,590 --> 00:01:53,070 +عندك current إلكتريكلكن لما تكون المادة انسليتر + +23 +00:01:53,070 --> 00:01:56,970 +فاش free electrons طب إذا المجال الكهربائي لما حط + +24 +00:01:56,970 --> 00:01:59,090 +هذا الانسليتر جوا المجال الكهربائي إيش بتوصل فيها + +25 +00:01:59,090 --> 00:02:03,550 +هذه المادة؟ وكيف بتتأثر فيها كذا مجال؟ في النهاية + +26 +00:02:03,550 --> 00:02:06,330 +ال conductor و ال insulator عبارة عن atoms و ال + +27 +00:02:06,330 --> 00:02:11,170 +atoms مكوناتها positive charges in the nucleus and + +28 +00:02:11,170 --> 00:02:16,010 +negative charges moves around the nucleus تمام، + +29 +00:02:16,010 --> 00:02:21,170 +إذا في مصطلح مينسميه polarization الاستقطارتمام + +30 +00:02:21,170 --> 00:02:25,050 +بيقول ليه insulating materials are called + +31 +00:02:25,050 --> 00:02:28,170 +dielectric ال dielectric materials اللي أخدناها + +32 +00:02:28,170 --> 00:02:32,150 +بشبتر أربعة في فيزيا با لما حكينا عن ال capacitors + +33 +00:02:32,150 --> 00:02:36,710 +و لما يكون في dielectric نحط dielectric جوا ال + +34 +00:02:36,710 --> 00:02:40,290 +capacitors مش بصير في الساعة بتزيد مظبوط ولا لأ ال + +35 +00:02:40,290 --> 00:02:42,630 +dielectric من زمان قلنا ان ال dielectric هي عبارة + +36 +00:02:42,630 --> 00:02:47,710 +عن مادة عازلة حطها جوا ال capacitors بتتغير + +37 +00:02:49,650 --> 00:02:54,250 +والإلكترونات ليست مفرومة لتتحرك، إنسلاتة، مادية، + +38 +00:02:54,250 --> 00:02:58,310 +يعني ماعندك إلكترونات مفرومة، بعكس القندكتورات، + +39 +00:02:58,310 --> 00:03:02,590 +لكنها مرتبطة إلى أتوانات أو موليكيولات محددة. + +40 +00:03:02,890 --> 00:03:06,350 +الإلكترون ليش مش راضي أن تتحرك؟ لأنها مربوطة + +41 +00:03:06,350 --> 00:03:11,490 +بالنوا بقوة ضخمة، بقوة كبيرة، غير عن القندكتورات، + +42 +00:03:11,490 --> 00:03:16,410 +احنا بيقول عنها free.لأن قوة ارتباطها بالنوا ضعيفة + +43 +00:03:16,410 --> 00:03:20,450 +جدا بحيث أن درجة حرارة الغرفة بتفلت من النوا + +44 +00:03:20,450 --> 00:03:27,930 +وبتصير free وبتصير تتجول في المادة تمام if a + +45 +00:03:27,930 --> 00:03:32,450 +neutral atom is placed خلينا نجيب أتم واحدة طبعا + +46 +00:03:32,450 --> 00:03:35,050 +ما أنتوا عارفين كل مادة أي كانت عبارة عن كذا أتم + +47 +00:03:35,050 --> 00:03:39,210 +مظبوط ولا لا؟ بدي نشوف أتم واحدة إيش شكل الأتم؟ + +48 +00:03:39,210 --> 00:03:47,220 +بقول هي شكل الأتمهذه الكرة وهذه أصولها حوالي + +49 +00:03:47,220 --> 00:03:51,980 +النواء الموجودة في الـcenter ولا لا؟ هذه شحنة + +50 +00:03:51,980 --> 00:03:57,100 +موجبة الانترونات ماذا تحصل فيها؟ حواليها، لذلك + +51 +00:03:57,100 --> 00:04:03,530 +يقولون في علم الـQuantumإن الإلكترونات بتشكل سحابة + +52 +00:04:03,530 --> 00:04:08,770 +حوالين الإلكترون وبالتالي هذه كلها وكأنها + +53 +00:04:08,770 --> 00:04:13,410 +إلكترونات محوطة نوات فيه عندي إلكترونات تاني وكأن + +54 +00:04:13,410 --> 00:04:20,090 +الإلكترونات عبارة عن كرة كلها شحنات ثالثة تمام هذا + +55 +00:04:20,090 --> 00:04:24,790 +طبعا أخدته في كيميابا أو في كيميا .. مايعرفش أي + +56 +00:04:24,790 --> 00:04:29,650 +كيميا أن الإلكترون بيدروح بمدار حوالي النواة لكن + +57 +00:04:29,650 --> 00:04:34,010 +علميا وهذا اللي بناخده في الـ Quantum الإلكترون + +58 +00:04:34,010 --> 00:04:38,290 +مستحيل تقولي وين هو ممنوع تقولي وين هو الـ + +59 +00:04:38,290 --> 00:04:40,630 +Uncertainty Principle اللي سمعته فيه في الـ Atomic + +60 +00:04:40,630 --> 00:04:44,210 +Uncertainty Principle اللي هو مبدأ عدم اليقين اللي + +61 +00:04:44,210 --> 00:04:52,890 +بيقول Delta X Delta P أكبر أو يساوي H barع تنين، + +62 +00:04:52,890 --> 00:04:57,950 +ذاكرينها؟ يعني مستحيل تقولي Delta X تكون سفر، + +63 +00:04:57,950 --> 00:05:00,710 +مستحيل تكون Delta X تكون سفر، يعني مافيش إمكانية، + +64 +00:05:00,710 --> 00:05:04,710 +وبالتالي، فيزيائيا ممنوعة تقول الإلكترون هنا + +65 +00:05:04,710 --> 00:05:08,250 +بيمشي، لأ، وبروحوا بيها حوالي هذه المنطقة، عشان + +66 +00:05:08,250 --> 00:05:10,710 +كده صاروا يقولوا هي عبارة عن صحابة من الإلكترون + +67 +00:05:10,710 --> 00:05:14,610 +الآخر، يعني هو موجود هنا، هنا موجود، موجود، هنا + +68 +00:05:14,610 --> 00:05:17,050 +موجود، موجود، هنا موجود، موجود، هنا موجود، موجود، + +69 +00:05:17,050 --> 00:05:18,590 +فعبارة عن صحابة، المهم + +70 +00:05:21,920 --> 00:05:26,640 +في مجال كهربائية بالعالم في قانون أخدناه قال لي F + +71 +00:05:26,640 --> 00:05:30,860 +بتساوي Q في ال E سمعتوا فيه هذا؟ إيش هذا القانون + +72 +00:05:30,860 --> 00:05:34,640 +بيقول؟ كل الشحنات الموجبة بتتحرك باتجاه المجال + +73 +00:05:34,640 --> 00:05:39,520 +والشحنات السالبة بتتحرك بعكس اتجاه المجال طيب أنا + +74 +00:05:39,520 --> 00:05:44,120 +بتوقع الآن هذا البروتون بيجي هنا ولا بيجيش هنا؟ + +75 +00:05:44,120 --> 00:05:50,580 +بتتحرك مع المجال الإلكترون مش particle صغير كرةهذه + +76 +00:05:50,580 --> 00:05:54,640 +الكورة كلها بتتحرك باتجاه المعاكس ولا لأ؟ الكورة + +77 +00:05:54,640 --> 00:06:04,160 +كلها بتتحرك باتجاه المعاكس وكأنه صارت هكذا اتحركت + +78 +00:06:04,160 --> 00:06:07,980 +قليلا وكانت الـ Center هصار وهذه الـ Center تبحر + +79 +00:06:07,980 --> 00:06:14,280 +إذن هذه صارت الـ Center اللي هي القوة وهذه سالب + +80 +00:06:14,280 --> 00:06:17,700 +الـQ تمام + +81 +00:06:17,700 --> 00:06:25,790 +هكذا؟ الآنقبل ما هذا يحصل الأسود والأسود بقول إنه + +82 +00:06:25,790 --> 00:06:29,290 +لو بدي أجي أجيب في ضايب ال moment إيش هو ضايب ال + +83 +00:06:29,290 --> 00:06:33,270 +moment؟ ضايب ال moment هي قانون P بتساوي Q في D + +84 +00:06:33,270 --> 00:06:41,550 +ذاكرينها؟ دي الشيء المسافة بين الشحن الموجب و + +85 +00:06:41,550 --> 00:06:45,410 +الشحن السالب الموجب هو الموجب الموجود في ال center + +86 +00:06:45,410 --> 00:06:50,600 +حاجة الإلكترون مالهوش مكانباستعيد عنه بكرة لو + +87 +00:06:50,600 --> 00:06:55,240 +عندكم كرة كلها مشفونة و بدي أجيس المسافة منها من + +88 +00:06:55,240 --> 00:07:00,200 +أين باجيس؟ من المركز .. من المركز .. إذا دي هي + +89 +00:07:00,200 --> 00:07:06,000 +المسافة بين ال nucleus و المركز جد إيش؟ Zero بين + +90 +00:07:06,000 --> 00:07:09,000 +ال nucleus و المركز .. وين ال nucleus؟ أول كان .. + +91 +00:07:09,000 --> 00:07:13,440 +فمن المركز كان؟ سفر .. إذا مافيش ضايب ال moment .. + +92 +00:07:13,440 --> 00:07:20,710 +الآنللـ nucleus .. sorry عندي أنا هيل للـ nucleus + +93 +00:07:20,710 --> 00:07:24,450 +بطلت في المركز للـ nucleus الشحنات السلبوية في + +94 +00:07:24,450 --> 00:07:28,590 +المركز اعتبرتها صار في دي ولا صارش في دي؟ صار في + +95 +00:07:28,590 --> 00:07:34,910 +دي هينا إذا صار في عندي dipole momentهذا الـ + +96 +00:07:34,910 --> 00:07:37,530 +Dipole Moment من رجابه وجود المجال الكهربائي + +97 +00:07:37,530 --> 00:07:42,110 +الخارجي اللي خلّى الحركة تصير عشان كلها دي بس هم + +98 +00:07:42,110 --> 00:07:45,510 +ميه Dipole Moment تأثيري Induced Dipole Moment + +99 +00:07:45,510 --> 00:07:49,930 +اللي جابه تأثير المجال الكهربائي الخارجي دكتور + +100 +00:07:49,930 --> 00:07:54,170 +ماعرفش انا مش فاهم اسمك وكيف انتقلت الـU كيف صارت + +101 +00:07:54,170 --> 00:07:56,810 +انتقلت من السفر هادي؟ يعني لما انت قضت في مدار .. + +102 +00:07:56,810 --> 00:08:02,220 +هادي؟حلو هجت هذه شحنة موجبة صح ولا لأ؟ و هذا + +103 +00:08:02,220 --> 00:08:07,220 +القانون تعرفيه ايش بيقول هذا؟ أي شحنة موجبة تنوجد + +104 +00:08:07,220 --> 00:08:11,440 +في مجال كهربائي غصب عنها بيصير عليها قوة و باتجاه + +105 +00:08:11,440 --> 00:08:17,820 +المجال صح؟ هجت ال nucleus شحنة ولا مش شحنة؟ وموجبة + +106 +00:08:17,820 --> 00:08:22,180 +حطتها في مجال غصب عنها بتتحرك باتجاه المجال ولا + +107 +00:08:22,180 --> 00:08:26,380 +لأ؟ طب المجال هيك و انا اتروح مش بتروح هيك كانتها + +108 +00:08:27,240 --> 00:08:32,940 +صارتها صح ولا لأ نيجيالشحنة السالبة بتتحرك مع + +109 +00:08:32,940 --> 00:08:36,660 +المجال ولا عكسه؟ عكسه، لكن الشحنة السالبة ما هوش + +110 +00:08:36,660 --> 00:08:39,720 +particle تقولي بالظبط وين هو، عبارة عن بدور و بروح + +111 +00:08:39,720 --> 00:08:44,280 +و بيجي، فقلنا بنستعيد عنه و كأنها كرة، كرة يعني + +112 +00:08:44,280 --> 00:08:48,160 +وين مركزها أو موقعها في المركز، هذه الكرة كلها + +113 +00:08:48,160 --> 00:08:52,320 +بتتحرك باتجاه عكس المجال، فالكرة الصمرة صارت كرة + +114 +00:08:52,320 --> 00:08:57,780 +زرقاء، صح؟ فموضع الشحنات السالبة في ال center، هاي + +115 +00:08:57,780 --> 00:09:02,710 +الشحنات السالبة هنا،والـ Nucleus صابت هنا صار في + +116 +00:09:02,710 --> 00:09:06,470 +مسافة بين الـ Nucleus ومركز الشحنات السالبة و لا + +117 +00:09:06,470 --> 00:09:10,630 +لا؟ هاي اللي عملناها هذا المركز بيعتبره دي ما زال + +118 +00:09:10,630 --> 00:09:15,630 +صافي عندك لـ Nucleus موجب ومركز فيه شحنات سالب صار + +119 +00:09:15,630 --> 00:09:18,590 +الـ Dipole moment وانا بقول الـ Neutral أتم يعني + +120 +00:09:18,590 --> 00:09:21,070 +الشحنة الموجبة و الشحنة السالبة بساوي بعض و الشواء + +121 +00:09:21,070 --> 00:09:25,070 +الديبول شحنة موجبة و شحنة سالبة بتساوي في المقدار + +122 +00:09:25,070 --> 00:09:29,810 +بينهم مسافة ديفي متعالية كده؟ إذا انصار في ديبول، + +123 +00:09:29,810 --> 00:09:33,750 +هذا الديبول من أوجده؟ المؤثر الخارجي، عشان كده + +124 +00:09:33,750 --> 00:09:37,410 +بسموه induced dipole، induced dipole إذا إيش + +125 +00:09:37,410 --> 00:09:41,490 +بيقوللي، if a neutral atom is placed in an + +126 +00:09:41,490 --> 00:09:44,930 +external electric field، حطته في مجال كهرباية، إيش + +127 +00:09:44,930 --> 00:09:50,490 +بيحصل؟ بيقوللي it will be polarizedهذا ما نسميه + +128 +00:09:50,490 --> 00:09:53,390 +Polarization لأنه .. لماذا Polarized؟ لأنه أصلها + +129 +00:09:53,390 --> 00:09:59,310 +دايبول، مظبوط ولا لأ؟ With positive charges shift + +130 +00:09:59,310 --> 00:10:03,990 +slightly one way الـ positive charges اللي هي الـ + +131 +00:10:03,990 --> 00:10:07,790 +nucleus shift slightly one way and negative + +132 +00:10:07,790 --> 00:10:12,090 +charges shift the other way واحدة بتروح يمين + +133 +00:10:12,090 --> 00:10:18,910 +والتانية بتروح الشمال تمام هذا الكلام اكتسبت + +134 +00:10:19,330 --> 00:10:23,290 +acquires اتني دايبول moment دايبول moment بس صغير + +135 +00:10:23,290 --> 00:10:26,070 +لإن المسافرات حركتها صغيرة طبعا واحد بيقول اتبعيش + +136 +00:10:26,070 --> 00:10:29,630 +ماتحركتش زي ال free electrons تاخد راحتها بيقول + +137 +00:10:29,630 --> 00:10:32,490 +وقتش اللي حركها كتير ما هو هذه شحنة موجة بفي شحنة + +138 +00:10:32,490 --> 00:10:36,710 +سالبة بتجذبها إذا في أنا عند قوتين حركتها شويه + +139 +00:10:36,710 --> 00:10:41,510 +صغيرةوهي اللي بيميز بينها و بين ايش؟ بين الـ free + +140 +00:10:41,510 --> 00:10:45,170 +electrons، الـ free electrons قوة الجذب بينه بين + +141 +00:10:45,170 --> 00:10:48,870 +نوات ضعيفة، صح ولا لأ؟ غير عن الـ insulators اللي + +142 +00:10:48,870 --> 00:10:51,990 +احنا بنقول عنها الطاقة تبعته خفيفة، مرفوطة قادرة + +143 +00:10:51,990 --> 00:10:54,950 +يا يا من قوة، واحنا عارفين كل الطاقة أصلا ابتيجة + +144 +00:10:54,950 --> 00:11:00,060 +أصلها من قوة، تمامإذاً، هذا الـDipole Moment، آه، + +145 +00:11:00,060 --> 00:11:04,360 +الـAtom يتلقى تيني، يعني صغير جدًا أو صغير جدًا، + +146 +00:11:04,360 --> 00:11:08,800 +تيني دايبول مومنت في نفس الاتجاه مثل E، هذا هنا + +147 +00:11:08,800 --> 00:11:13,820 +مثل E، لا أعرف عنكم إذا كانت مكتوبة هنا E؟ يعني من + +148 +00:11:13,820 --> 00:11:16,540 +نفس اتجاه الـE، طبعًا من نفس اتجاه الـE، لأن احنا + +149 +00:11:16,540 --> 00:11:19,340 +نعرف أن هو الـDipole Moment من السالب للموجب، وهي + +150 +00:11:19,340 --> 00:11:21,760 +السالب وهي الموجب، وبالتالي، هاي الـDipole Moment + +151 +00:11:21,760 --> 00:11:28,750 +تبعي، نفس اتجاه الـEتمام هذا الوقت الوحيد هو الوقت + +152 +00:11:28,750 --> 00:11:31,030 +الوحيد اللي يسمى الوقت اللي يسمى الوقت اللي يسمى + +153 +00:11:31,030 --> 00:11:32,890 +الوقت اللي يسمى الوقت اللي يسمى الوقت اللي يسمى + +154 +00:11:32,890 --> 00:11:35,350 +الوقت اللي يسمى الوقت اللي يسمى الوقت اللي يسمى + +155 +00:11:35,350 --> 00:11:35,510 +الوقت اللي يسمى الوقت اللي يسمى الوقت اللي يسمى + +156 +00:11:35,510 --> 00:11:36,610 +الوقت اللي يسمى الوقت اللي يسمى الوقت اللي يسمى + +157 +00:11:36,610 --> 00:11:37,510 +الوقت اللي يسمى الوقت اللي يسمى الوقت اللي يسمى + +158 +00:11:37,510 --> 00:11:39,430 +الوقت اللي يسمى الوقت اللي يسمى الوقت اللي يسمى + +159 +00:11:39,430 --> 00:11:50,450 +الوقت اللي يسمى الوقت اللي يسمى ال + +160 +00:11:52,290 --> 00:11:57,130 +أتناسب تماثب التراضي المعيّة طيب كل المواد بغض + +161 +00:11:57,130 --> 00:12:02,890 +النظر عن تركبتهم باستجيبوا للمجال زي بعضهملأ طبعاً + +162 +00:12:02,890 --> 00:12:07,850 +هل يضحكين ال conductor زي الزجاج؟ لأ إذا لابد أن + +163 +00:12:07,850 --> 00:12:11,130 +يكون ثابت التناسب باعتمد على إيش؟ على طبيعة المادة + +164 +00:12:11,130 --> 00:12:17,630 +هذا الشغلة أدوها رمز تسموه Alpha وهذه بيسموها + +165 +00:12:17,630 --> 00:12:22,650 +polarizability polarizability خاصية الاستقطار تبع + +166 +00:12:22,650 --> 00:12:26,630 +المادة with Alpha is called the atomic + +167 +00:12:26,630 --> 00:12:31,410 +polarizability أهم خدتوها في الصينية مرة عليكم؟ + +168 +00:12:32,020 --> 00:12:37,740 +البولاري و لا لسه تاخد السوري دى تجعداه مرة عليكم + +169 +00:12:37,740 --> 00:12:42,710 +لسهالألفة تسمى الـ Atomic Polarizability انتما + +170 +00:12:42,710 --> 00:12:44,790 +مااخدتوش الاترك البرو بورتيز او الشريط اظن انك + +171 +00:12:44,790 --> 00:12:48,870 +تاخدوها في التانية لسه تمام ال Atomic + +172 +00:12:48,870 --> 00:12:52,910 +Polarizability with its value depends on the + +173 +00:12:52,910 --> 00:12:56,570 +structure of the atom يعني الزجاج غير عن الخشب غير + +174 +00:12:56,570 --> 00:12:59,410 +عن المطاط غير عن كل مادة اللي هتطرق طبعا انتوا + +175 +00:12:59,410 --> 00:13:03,760 +عارفين ان احنا عندنا في كتير صفات للموادزي Epsilon + +176 +00:13:03,760 --> 00:13:09,000 +Note صح؟ هذه للفرق Epsilon وفي Sigma وفي Raw وفي + +177 +00:13:09,000 --> 00:13:14,280 +Mu مظبوط ولا لأ؟ وفي Alpha تبع ال Thermal و .. و + +178 +00:13:14,280 --> 00:13:19,340 +.. و هي Mu E يعني في كتير خواص فيزيائية كل حاجة + +179 +00:13:19,340 --> 00:13:23,640 +بيعطوها رمز وبيصير Alpha لل .. خلنا نقول للزجاج + +180 +00:13:23,640 --> 00:13:26,180 +معروفة Alpha للبلاستيك معروفة فهذه بيسموها + +181 +00:13:26,180 --> 00:13:31,140 +Polarizability هذه بتجيس قابلية المادة يصلها + +182 +00:13:31,140 --> 00:13:34,290 +Polarizationقابلية المادة، احنا مانا جاعة فيها، بس + +183 +00:13:34,290 --> 00:13:36,810 +احنا قاعدين بنحكي عن الموضوع يعني، لسه ماخشيناش في + +184 +00:13:36,810 --> 00:13:40,810 +ال .. في الجد يعني زي ما اتول حكيت انا، في Sigma + +185 +00:13:40,810 --> 00:13:46,480 +وفي Rho، صار في عندي Alpha، اللي هي هذهخلّينا + +186 +00:13:46,480 --> 00:13:50,600 +نجيبها المثال اللي برضه سهل لصحى كلها تتسخين يعني + +187 +00:13:50,600 --> 00:13:54,440 +و لا إيش بس علشان اشرحناه نوضحه إيش بيقوللي اللي + +188 +00:13:54,440 --> 00:13:58,060 +توي أنا شرحته بالرسمة بدي أعيده بيقوللي calculate + +189 +00:13:58,060 --> 00:14:03,320 +alpha for an atom رجعنا للأتم ال neutral consists + +190 +00:14:03,320 --> 00:14:06,280 +of a positive charge surrounded by a negative + +191 +00:14:06,280 --> 00:14:11,920 +chargeطبعا احنا رسمناها هاي اللي طبعا رسمته كمان + +192 +00:14:11,920 --> 00:14:17,460 +مرة بدي أعيده هذا بدون وجود E نرجع هذه ال nucleus + +193 +00:14:17,460 --> 00:14:20,960 +الشحنات السلبية اللي بدي اعتبرها موجودة و كأنها في + +194 +00:14:20,960 --> 00:14:27,900 +الستر قدش P؟ Zero لأنه D Zero هلجيت هذا؟ و اين عم + +195 +00:14:27,900 --> 00:14:33,480 +بدي أحطه؟في مجال كهربائي لـ Nucleus جت هنا وهذه + +196 +00:14:33,480 --> 00:14:37,560 +رجعت فصار منهم مسافة ايش؟ دي الشحنات اللي سلبها + +197 +00:14:37,560 --> 00:14:40,200 +هيها في الـ Cinta و الشحن الموجه بالـ Nucleus هيها + +198 +00:14:40,200 --> 00:14:43,520 +صار في ضيب ال moment ولا لا؟ صار في ضيب ال moment + +199 +00:14:43,520 --> 00:14:48,840 +هل جيت عشان برضه انتوا بهمش يعني احنا في الآخر + +200 +00:14:48,840 --> 00:14:51,740 +بنعرج ع الشغلات و ماندخلاش كتير في امتحانات + +201 +00:14:51,740 --> 00:14:56,060 +المفهوم تبعنا طب ال nucleus اتحركت اللي هنا افترض + +202 +00:14:56,060 --> 00:15:02,220 +خمسة angstrom ولا عشرة angstrom؟ممكن تتحرك أكتر؟ + +203 +00:15:02,220 --> 00:15:05,160 +إذا زود المشكلة؟ إذا زود .. طب زود زود زود المادة، + +204 +00:15:05,160 --> 00:15:09,560 +إيش بتصير في المادة؟ إيش .. إيش .. كيف بتتفكر؟ إيش + +205 +00:15:09,560 --> 00:15:13,820 +يعني بتصير؟ بتصير معناته تتأين، ionize .. ionized + +206 +00:15:13,820 --> 00:15:17,900 +خلّيني أشوف معلومة، الميا كمادة conductor ولا + +207 +00:15:17,900 --> 00:15:27,990 +insulator؟ insulator .. insulatorالمادة بيور عشان + +208 +00:15:27,990 --> 00:15:33,570 +اراحك بيور مجترة انسلاتر او كوندكتر انسلاتر طب + +209 +00:15:33,570 --> 00:15:37,570 +احنا دايما غالبا لما يكون واحد بيشخف الكهربا بيحبز + +210 +00:15:37,570 --> 00:15:42,390 +انه يكون جانبه ميه بيخاف مظبوط ولا لا ليه وحتى لو + +211 +00:15:42,390 --> 00:15:46,380 +مافيش فيها شواهب الميهفي الآخر أنا بشغل قهرة + +212 +00:15:46,380 --> 00:15:50,060 +بمعناته في جهود كهربائي وفي مجال كهربائي المي ال + +213 +00:15:50,060 --> 00:15:53,900 +polarizability تبعتها عالية جدا بتتأين وإذا المادة + +214 +00:15:53,900 --> 00:15:58,080 +تأينت صارت conductor فلما تفلت كتير بيطلق ال + +215 +00:15:58,080 --> 00:16:02,680 +insulator بيصير conductor فالكلمة اللي حاكتيها + +216 +00:16:02,680 --> 00:16:07,000 +اللي هي بالعامية تفلت يعني ionized أما كلام دقيق + +217 +00:16:07,000 --> 00:16:13,170 +تفلت ionized تتفككبصيرها ionization وقتش هذا لما + +218 +00:16:13,170 --> 00:16:16,890 +يكون المجال عالي عشان كده أقول أي مادة حطها في + +219 +00:16:16,890 --> 00:16:21,370 +مجالها كل مادة مرات اللي بدهم يحطوها في الشغلات + +220 +00:16:21,370 --> 00:16:26,290 +الأجهزة بيحطولك أقصى جهود ممكن تحطها هذه المادة و + +221 +00:16:26,290 --> 00:16:29,470 +أقرأ مثال ال capacitors اللي بتستخدموه في معامل + +222 +00:16:29,470 --> 00:16:33,070 +تبعات الإلكترونيات الcapacitor و أنت بتعرفوا كتير + +223 +00:16:33,070 --> 00:16:36,450 +من أجهزة كهربائية لو هي كهرباء عالية بتشموا ريحة + +224 +00:16:37,410 --> 00:16:40,150 +هذه شمة الريحة الحرج برضه كلمة عامية الحرجان + +225 +00:16:40,150 --> 00:16:45,510 +انحرجت هي مانحرجتش اتأينت هي اتأينت طب من نجاة + +226 +00:16:45,510 --> 00:16:49,250 +الريحة لأنه انطبخت في الآخر انطبخت هو الطبيخ ليش + +227 +00:16:49,250 --> 00:16:52,770 +بيطلع الريحة؟ لأنه بصي فيه تفعيلات كيميائية هي + +228 +00:16:52,770 --> 00:16:56,330 +اتغيرت طبيعتها ولما اتأينت بتبطل ال insulator عشان + +229 +00:16:56,330 --> 00:16:59,530 +كده بيقول عن ال capacitor بعد حاجة بيقول عنه انحرج + +230 +00:16:59,530 --> 00:17:02,610 +ومحطه في الزبالة ليه؟ لأن هو بيقولش هو ال + +231 +00:17:02,610 --> 00:17:05,390 +insulator بيقولوا conductor conductor ومش بينهم + +232 +00:17:06,710 --> 00:17:10,590 +ماذا يكون في الانسلتر؟ مادة عازلة، مادة عازلة، طب + +233 +00:17:10,590 --> 00:17:14,390 +وإذا العازل هذا ساركندكتر، بطر كباسيطار، نحطه + +234 +00:17:14,390 --> 00:17:17,450 +ونحطه في الزبالة، فبنقول عنه أنه حرج، لكن هو بطر + +235 +00:17:17,450 --> 00:17:21,950 +كباسيطار، وكدهش هذا بصير لما يتعين، لما يتفكك، + +236 +00:17:21,950 --> 00:17:26,970 +تمان؟ حكاية عربي؟ ترجعش، + +237 +00:17:26,970 --> 00:17:31,590 +أه ترجعش، أنت لما تطبخ المجلوبة بترجعيها رز و هذا؟ + +238 +00:17:31,590 --> 00:17:38,570 +بترجعش، خلاصأه طبعا احنا حكينا احنا كنا متابعين + +239 +00:17:38,570 --> 00:17:41,710 +معنا اسمها انه بتتحركلها شوية بدى حركها أكتر قالتش + +240 +00:17:41,710 --> 00:17:45,890 +تزودي المجال طب لإنت في الآخر داي زفلتات كلها صارت + +241 +00:17:45,890 --> 00:17:49,430 +زي ال conductor صارت زي ال free electrons صحيح ولا + +242 +00:17:49,430 --> 00:17:55,090 +لأ؟ ده مابترجعش يعني لو في تلاجة ترجحها كان عكس + +243 +00:17:55,090 --> 00:17:58,670 +اللي هي ال process المعكوسة كان في شغلات كتير + +244 +00:17:58,670 --> 00:18:02,210 +مرجحها من الطبخات اللي بتعجبناها نفس العملية + +245 +00:18:02,210 --> 00:18:03,530 +احكيوا يعني + +246 +00:18:12,260 --> 00:18:17,320 +أرطيل طب حاجتك انت لو الدكتور سمعك برضه انك تقولي + +247 +00:18:17,320 --> 00:18:21,860 +الإلكترون بيبعد ببطل + +248 +00:18:21,860 --> 00:18:25,060 +هذا الكلام هذا الكلام في سنة أولى هذا الكلام في + +249 +00:18:25,060 --> 00:18:28,360 +سنة أولى لكن في سنة تالتة و رابعة هذه الكلام بيبقى + +250 +00:18:28,360 --> 00:18:31,540 +لدقيق عشان كده بنقول عنها cloud of negative + +251 +00:18:31,540 --> 00:18:36,160 +chargesمافيش exact position .. مافيش exact + +252 +00:18:36,160 --> 00:18:39,120 +position ده الإلكترون وبالتالي بنعتبر الصحابة .. + +253 +00:18:39,120 --> 00:18:42,100 +بنستعيد عنه ان وين موجود ال average في ال center + +254 +00:18:42,100 --> 00:18:45,900 +هذا هو طبعا انت ممكن خدت وفصلت ال hydrogen atom + +255 +00:18:45,900 --> 00:18:49,680 +لسه ال hydrogen atom طبعا في بعض الأسئلة بقولك او + +256 +00:18:49,680 --> 00:18:52,840 +ديو ديلي احتمالية وجود ال particle أقرب جنب النواء + +257 +00:18:52,840 --> 00:18:56,040 +وبالتالي في احتمالي .. اذا هو .. احنا بنقول هيوهان + +258 +00:18:56,040 --> 00:18:59,980 +لكن في احتمالي وجودها اهعشان كده بتصير و كأنه + +259 +00:18:59,980 --> 00:19:05,100 +continuous في كل سفير بس بنسب مختلفة فهمت عليك + +260 +00:19:05,100 --> 00:19:09,780 +كيف؟ تمام أيه السفصار آخر؟تمام، هذا حتى الآن مش + +261 +00:19:09,780 --> 00:19:12,460 +هيقلقكم كتير، يعني هذا حتى المعادلة هذه مش هتمر + +262 +00:19:12,460 --> 00:19:16,760 +علينا كتير يعني، هذه بس هيك، اعرفنا انه الـAtomic + +263 +00:19:16,760 --> 00:19:21,140 +الـAtomly Neutral بوجود المجال الكهربائي حتى لو + +264 +00:19:21,140 --> 00:19:24,020 +ضالت الانسليتر والمجال مش كبير، ده اتحركت هملاكا + +265 +00:19:24,020 --> 00:19:27,380 +من الانجسترون، بصيرها في B، اذا هذا الـB نوجد، + +266 +00:19:27,380 --> 00:19:32,130 +سمناه Induced Dipole Momentبعتمد عليه بعتمد عليه + +267 +00:19:32,130 --> 00:19:36,010 +ثابت التناثر بختلف من مادة لمادة هذا بيسموه الـ + +268 +00:19:36,010 --> 00:19:38,750 +polarizability هاي اللي أخدناها لحد الآن تمام، إيش + +269 +00:19:38,750 --> 00:19:42,770 +بيقولي هالجيت؟ اتفجنا بيقولي ال calculate طيب + +270 +00:19:42,770 --> 00:19:45,010 +Alpha لها الأتم؟ بقولي إيش Alpha؟ طبعا احنا + +271 +00:19:45,010 --> 00:19:48,630 +اتحركنا واتفجنا إن المجال مش كبير كتير يا نسمع + +272 +00:19:48,630 --> 00:19:52,690 +اتحرك عشرة أنجسترون ووقف إيش يعني وقف؟ سرقة + +273 +00:19:52,690 --> 00:20:04,810 +equilibrium صح؟ وقف النواة هي موقعهاأكم قوة عليها؟ + +274 +00:20:04,810 --> 00:20:09,910 +إيش اللي وجفها وما خلاش تتحرك؟ هي اللي حركها + +275 +00:20:09,910 --> 00:20:14,700 +المجال، صح؟ طب إيش اللي ما خلاش تتحرك أكتر؟اللي هي + +276 +00:20:14,700 --> 00:20:18,200 +قوة اتجذب بينها وبين الالكترون صح ولا لأ هدول + +277 +00:20:18,200 --> 00:20:21,080 +هلجيت لما قول وكفي تتساوي ولا ما تساويش؟ اتساوي + +278 +00:20:21,080 --> 00:20:23,840 +عشان كده كل ما كانت القوة هذه اللي هي بينها وبين + +279 +00:20:23,840 --> 00:20:27,280 +الالكترون اقوى ماتتحركش كتير صح كل ما ضعفت ماتتحرك + +280 +00:20:27,280 --> 00:20:29,600 +اكتر عشان كده في ال conductor بفتت على طول لإنه + +281 +00:20:29,600 --> 00:20:33,420 +قوة ضعيفة تمام بدنا نساوي القوتين هدول لإنه خلاص + +282 +00:20:33,420 --> 00:20:35,800 +صارت هنا at equilibrium ساوي القوتين + +283 +00:20:38,450 --> 00:20:41,410 +بيقول لي الـ nucleus is acted upon .. بيقول لي الـ + +284 +00:20:41,410 --> 00:20:45,470 +nucleus عليها قوتين زي ما حكينا، مظبوط ولا لأ؟ By + +285 +00:20:45,470 --> 00:20:49,190 +two fields، the external field اللي حركها ولمّا + +286 +00:20:49,190 --> 00:20:53,510 +نحها تتحرك أكتر، قوة الجذب بينها أو بين الإلكترون، + +287 +00:20:53,510 --> 00:20:57,650 +الأصل واحدة بتوديها هنا وواحدة بتوديها هنا، هذه Q + +288 +00:20:57,650 --> 00:21:04,110 +في الـE externalو هذه عبارة عن Q في E تبع الـ + +289 +00:21:04,110 --> 00:21:07,730 +negative charges صح ولا لأ؟ طبعا هذه Q مع Q بدأ + +290 +00:21:07,730 --> 00:21:11,390 +اضايحها فبتصير E external بيسوي E تبع ال negative + +291 +00:21:11,390 --> 00:21:15,370 +charges عكس بعيد ولا مش عكس بعيد؟ عكس بعيد اذا for + +292 +00:21:15,370 --> 00:21:18,710 +the nucleus to be at equilibrium we have E + +293 +00:21:18,710 --> 00:21:22,490 +external بيسوي سالب E تبع ال negative charges + +294 +00:21:22,490 --> 00:21:27,250 +electrons برضه سؤال ايه .. احكي يا نور + +295 +00:21:31,260 --> 00:21:38,300 +طبعا ما فلتتش نور إذا فلتت بطلت مادة نفترض أنا + +296 +00:21:38,300 --> 00:21:42,440 +عندي الزجاج إذا فلتت بطلت زجاج وانتوا عارفين + +297 +00:21:42,440 --> 00:21:48,280 +الزجاج مين سيحه، مظبوط؟ إذا فلتت و اتأيمت بطلت + +298 +00:21:48,280 --> 00:21:51,560 +مادة اللي بتحكي فيها صارت مادة أخرى وبالتالي انت + +299 +00:21:51,560 --> 00:21:55,280 +بتشتغل معاه موضوع تاني أنا مثل الزجاج زي ما هو + +300 +00:21:55,280 --> 00:22:00,920 +شايفه وحطته في مجال اتحركنا شويةمافلتش، فهمت عليّ؟ + +301 +00:22:00,920 --> 00:22:04,560 +بتظل في عندي إيه؟ ليش ماتحركش أكتر؟ لأنه في قوتين + +302 +00:22:04,560 --> 00:22:08,740 +اتعادل و خلاص بعد عشر انجسترون زي ما اتفجناه حلو + +303 +00:22:08,740 --> 00:22:14,320 +طيب هالجهة إيه إكسترنال؟ سهل، مانتدتني إيه؟ هذا من + +304 +00:22:14,320 --> 00:22:20,480 +وين جاي إيه؟ من الإلكترونات هل بقدر أقول إيه؟ + +305 +00:22:20,480 --> 00:22:26,100 +أعتبر الإلكترون إيه بتساوي KQ على R تربية و أعتبره + +306 +00:22:26,100 --> 00:22:31,060 +point of charge؟بقدر اعتبله موجودة عند نقطة معينة؟ + +307 +00:22:31,060 --> 00:22:36,080 +لأ، وقته نقضنا، هاي ايش هتسوي؟ مانت تقوله عبارة عن + +308 +00:22:36,080 --> 00:22:40,080 +كورة، بس هو عبارة عن كورة كلها شحنات، برجع ل + +309 +00:22:40,080 --> 00:22:44,910 +chapter 2، solid sphereبدي أجيب المجال من Gauss + +310 +00:22:44,910 --> 00:22:52,210 +هاي تبعتي إذا معناته from an example 2.2 شدة + +311 +00:22:52,210 --> 00:22:57,810 +المجال داخل أي سفير من Gauss بالساوية capital Q + +312 +00:22:57,810 --> 00:23:01,710 +شحنات تبع السفير في small r النقطة اللي جوا يعني + +313 +00:23:01,710 --> 00:23:07,130 +انت هاي عندك سفير بدك يجيب شدة المجال هنا فهي اه + +314 +00:23:07,130 --> 00:23:11,560 +صح ولا لا تمام انت وان بدك المجال؟أشوف بدي المجال + +315 +00:23:11,560 --> 00:23:18,260 +هنا انا بشغل على نيو كلياز R ايش بتسوي؟ D R بتسوي + +316 +00:23:18,260 --> 00:23:26,200 +D و ال total charge هي Q بالسلبة تمام؟ + +317 +00:23:26,200 --> 00:23:29,440 +اذا بدل capital Q حطته اسم الـQ بدل R حطه الـD + +318 +00:23:29,440 --> 00:23:32,120 +وعلى القانون اللي انتوا عارفين هو R cubic لان هذا + +319 +00:23:32,120 --> 00:23:35,780 +نص القطرة اعتبرته A cubic الـQ في الـD مر علينا ان + +320 +00:23:35,780 --> 00:23:41,720 +هو Bهو P طيب طلعتها المعادلة الحلوة فما انت توي + +321 +00:23:41,720 --> 00:23:46,620 +قلتلي E أو قلنا نقول P بتساوي Alpha في E و أنا + +322 +00:23:46,620 --> 00:23:50,880 +ماقتش تويه هو المعادلة الوحيدة اللي أخدتها و هنا + +323 +00:23:50,880 --> 00:23:56,660 +.. مين يجيبلي P من هنا؟ + +324 +00:23:56,660 --> 00:24:00,700 +جيبولي + +325 +00:24:00,700 --> 00:24:08,800 +Alpha، بيان؟ فهي Alphaالألفة بيساوي أربعة باي اتا + +326 +00:24:08,800 --> 00:24:15,180 +كايب ابسلون نوت صح ولا لأ؟ طيب، هذه لو عملتها هيك + +327 +00:24:15,180 --> 00:24:21,020 +وعملتها هيك، إيش هذا؟ إذا بقدر أقول هذه عبارة عن + +328 +00:24:21,020 --> 00:24:26,040 +تلاتة ابسلون نوت في ال volume صح + +329 +00:24:26,040 --> 00:24:27,260 +ولا لأ؟ هي الافة + +330 +00:24:35,230 --> 00:24:42,870 +نمحي هذه الشعبات كلها تمام + +331 +00:24:42,870 --> 00:24:48,230 +هذه المادة اللي هي مش molecular انتوا عارفين + +332 +00:24:48,230 --> 00:24:51,070 +كيميائيا بيسموها في بعض المواد زي الميه molecular + +333 +00:24:51,070 --> 00:24:56,090 +materialالمية عبارة عن .. يعني أشهر مادة dipoles + +334 +00:24:56,090 --> 00:24:59,910 +عندها هي المية جزيئات المية بيقولوا تضمرنا صح ولا + +335 +00:24:59,910 --> 00:25:04,270 +لأ؟ إذا المية متكونة من جزيئات alignment of polar + +336 +00:25:04,270 --> 00:25:09,680 +molecules مادة polar أصلا هي polarwhen polar + +337 +00:25:09,680 --> 00:25:14,340 +molecules with permanent dipole moment فيها أصلاً + +338 +00:25:14,340 --> 00:25:18,260 +دايبول ماجاش الدايبول من تأثير خارجي هي مكوّنة من + +339 +00:25:18,260 --> 00:25:23,040 +دايبول are placed in an external electric field + +340 +00:25:23,040 --> 00:25:28,660 +هاي دايبول الدايبول عبارة عن إيه؟ شحنة سلبة، شحنة + +341 +00:25:28,660 --> 00:25:33,560 +موجبة؟ بينهم مسافة دي؟ حطيتهم في مجال كهربائي + +342 +00:25:33,560 --> 00:25:37,160 +حطيتهم في مجال كهربائي إيش بده يصير؟ مش انت + +343 +00:25:37,160 --> 00:25:42,970 +بتقوللي هناQ في الـ E وهنا Q في الـ E بس بالتجاه + +344 +00:25:42,970 --> 00:25:53,850 +المعاكس صح ولا لأ؟ هذا اعتبره عبارة عن جلم واحد + +345 +00:25:53,850 --> 00:25:57,290 +بيشد هيك و واحد بيشد هيك، بتصير فين؟ بتصير torque + +346 +00:25:57,290 --> 00:26:04,790 +طيب ال torque عبارة من قوة جاي؟ طيب القوتين ال + +347 +00:26:04,790 --> 00:26:08,070 +torque تبعهم كيف اتجاههم؟ مع عقارب الساعة ولا ضد + +348 +00:26:08,070 --> 00:26:08,830 +عقارب الساعة؟ + +349 +00:26:15,920 --> 00:26:23,300 +تخفيش التنين أشري وما تخفيش يعني التنين يعني بدي + +350 +00:26:23,300 --> 00:26:27,420 +أجمع ولا أطرح بدي أجمع يعني بضيعوش بعد مع أن + +351 +00:26:27,420 --> 00:26:30,900 +القوتين عكس بعض مش هو كل واحد بعكس التاني طب ال + +352 +00:26:30,900 --> 00:26:37,440 +torque إيش بيسوي؟ قوة في الذراع أو بالأساس ال + +353 +00:26:37,440 --> 00:26:42,350 +torque اللي بيدرمزه برمز N هو عبارة عن R×Fوهذه + +354 +00:26:42,350 --> 00:26:45,330 +ارثان الزاوية هي كانت الذراع كنا نعملها صح؟ اما + +355 +00:26:45,330 --> 00:26:50,730 +اصل القانون R X F اذا في عندي torque هذه القوتين + +356 +00:26:50,730 --> 00:26:58,530 +تعوني امحي من هنا اصلا هذه تتجه اسهل تمام اذا ال + +357 +00:26:58,530 --> 00:27:04,720 +torque بتساوي R plusيعني مسافة R Plus تبعات + +358 +00:27:04,720 --> 00:27:09,420 +الـPlus Cross F تبعات الشحنة الموجبة زائد R تبعات + +359 +00:27:09,420 --> 00:27:12,880 +الشحنة السالبة Cross F تبعات الشحنة السالبة طب وين + +360 +00:27:12,880 --> 00:27:14,460 +R تبعات الشحنة الموجبة و R تبعات الشحنة الموجبة؟ + +361 +00:27:14,460 --> 00:27:19,000 +هاي R تبعات الشحنة الموجبة و هديك هايها مظبوط ولا + +362 +00:27:19,000 --> 00:27:22,800 +لأ؟ واحد منجيس، ما احنا هيك فبتصير واحدة منهم دي + +363 +00:27:22,800 --> 00:27:25,940 +على اتنين والتانية سلب دي على اتنين عشان عكسها + +364 +00:27:25,940 --> 00:27:32,560 +تمامR plus D ع 2 cross الـ Q في الـ E أفق .. + +365 +00:27:32,560 --> 00:27:36,560 +بتساوي الـ Q في الـ E زائد التاني R السالب سالب D + +366 +00:27:36,560 --> 00:27:41,020 +ع 2 أنا معقوسة الـ cross كقوة .. كvector ناقص الـ + +367 +00:27:41,020 --> 00:27:45,560 +Q في الـ E فصارت عبارة عن الـ Q في الـ D الـ Q في + +368 +00:27:45,560 --> 00:27:49,780 +الـ D cross الـ E اللي هي P cross الـ E طبعا لما + +369 +00:27:49,780 --> 00:27:54,020 +يصير في عندي Anna Turk إيش بتصير في الدايبول؟ + +370 +00:27:54,020 --> 00:28:01,520 +بيتلفطيب، هذه لفت صار الـ positive هنا نفترض أو + +371 +00:28:01,520 --> 00:28:05,060 +خلّيني أقول ال positive هنا و ال negative هنا لفت + +372 +00:28:05,060 --> 00:28:09,740 +بعد كده بتلف؟ حاجة في هذه القوة و هذه القوة في + +373 +00:28:09,740 --> 00:28:17,560 +torque هيك؟ لأ في هذه الحالة B هيتجاه الـB و الـE + +374 +00:28:17,560 --> 00:28:22,220 +هيتجاهه كدهش يتزاوج بين الـB و الـE لما يلف؟ Zero + +375 +00:28:22,220 --> 00:28:27,770 +و ال cross بده كسان ولا صين؟وSin Zero إذا لما يكون + +376 +00:28:27,770 --> 00:28:32,690 +هيكفش تورك أصلا صحيح ولا لا تمام هجيت خلينا نتذكر + +377 +00:28:32,690 --> 00:28:36,990 +بقى ساعة بقى قبل ما نرجع هذه المادة بيسميها عبارة + +378 +00:28:36,990 --> 00:28:40,350 +عن دايبولات جواها دايبولات كتيرة هذه المادة + +379 +00:28:40,350 --> 00:28:43,930 +بيسميها polar material هذه خدناها فيزيا بقى اتذكر + +380 +00:28:43,930 --> 00:28:50,170 +الواحد تمام هذه مادة polar إيش يعني polar عبارة عن + +381 +00:28:50,170 --> 00:28:57,090 +جواها أكتر من دايبول كيف مصفطينعشوائي، بقول أنا كل + +382 +00:28:57,090 --> 00:29:01,210 +واحد له مجال، والـDipole الوحيد أخدناه في نهاية + +383 +00:29:01,210 --> 00:29:08,710 +الـChapter الماضي، بقولنا V عبارة عن K P.R hat على + +384 +00:29:08,710 --> 00:29:13,430 +R تربية، هذه للـDipole الواحد، صح ولا لأ؟ طبعا، لو + +385 +00:29:13,430 --> 00:29:16,410 +بدأت أتطلع على المجالات، كل واحد إلها مجال مختلف + +386 +00:29:16,410 --> 00:29:22,240 +عن التانية، عشان هرنضملي الـTotal E0هجيت هاجي بدي + +387 +00:29:22,240 --> 00:29:25,560 +أحملها و أحطها في مجال خارجي، أيش بتوصل فيهم كلهم؟ + +388 +00:29:25,560 --> 00:29:30,460 +كلهم لفوا، هذا، هاي المجال الخارجي، اللي هي عبارة + +389 +00:29:30,460 --> 00:29:39,360 +عن capacitor، أحملها، حطناها، هاي هم لفوا، هجيت + +390 +00:29:39,360 --> 00:29:43,440 +لفوا، هل بقدر أقول المجال من كل دايبول لغة تانية؟ + +391 +00:29:43,440 --> 00:29:47,290 +لأ، هجيت في عندك net electric field صار جوافي + +392 +00:29:47,290 --> 00:29:49,930 +الأول واحد هيك و واحد هيك و واحد هيك و واحد هيك و + +393 +00:29:49,930 --> 00:29:54,510 +واحد هيك كـTotal، Zero هالـG كلهم باتجاه واحد + +394 +00:29:54,510 --> 00:30:00,450 +وبالتالي في عندك مجال جوا صار، في عندك مجال فهمتوا + +395 +00:30:00,450 --> 00:30:05,510 +عليا إيش صار؟ هذا إيش اللي صفتهم هو الـTorque نور + +396 +00:30:05,510 --> 00:30:09,370 +مش عاجبك أحكي، + +397 +00:30:09,370 --> 00:30:15,130 +أقول أه، تشوف يا بنات، انتبهوا تاتر بقى العلم بيجي + +398 +00:30:15,130 --> 00:30:16,050 +من وين، من السؤال + +399 +00:30:19,250 --> 00:30:24,330 +التلقين والجراية من الكتب بيغلب، بتعلم الواحد لما + +400 +00:30:24,330 --> 00:30:27,030 +يكبر شوية بيصير يتعلم من الكتب، لكن مائة ألف شغلة + +401 +00:30:27,030 --> 00:30:30,550 +بيكون مش فاهمها، تلقى الترباع الـ LMPG من كترة + +402 +00:30:30,550 --> 00:30:35,450 +السؤال، والسؤال زي ما اتفجر من زمان، فايدة مشاركة + +403 +00:30:35,450 --> 00:30:39,930 +من المدرس ومن القالب،و لما نقول للطالب يا مجموع + +404 +00:30:39,930 --> 00:30:43,110 +الطلاب يعني لما طالب يسأل بفيه الكلية طلاب و أنا + +405 +00:30:43,110 --> 00:30:47,950 +أولكم فشغله طبيعي أن الواحد مايكون مش مركز و + +406 +00:30:47,950 --> 00:30:54,370 +مايكونش مستوعب للمفهوم أو للمعلومة من أول مرة أنا + +407 +00:30:54,370 --> 00:31:02,140 +بقول هذه مادةمادة فيها دايبولات أصلا، طبيعتها فيها + +408 +00:31:02,140 --> 00:31:05,680 +دايبولات، المواد مجسمة من مائة ألف تجسيمة كيميائيا + +409 +00:31:05,680 --> 00:31:09,220 +وفيزيائيا، ففيها مواد conductors و insulators و + +410 +00:31:09,220 --> 00:31:10,300 +انسلترات و انسلترات و انسلترات و انسلترات و + +411 +00:31:10,300 --> 00:31:10,340 +انسلترات و انسلترات و انسلترات و انسلترات و + +412 +00:31:10,340 --> 00:31:12,020 +انسلترات و انسلترات و انسلترات و انسلترات و + +413 +00:31:12,020 --> 00:31:17,820 +انسلترات و انسلترات + +414 +00:31:17,820 --> 00:31:18,280 +و انس + +415 +00:31:21,530 --> 00:31:26,850 +لأ، هي من أصل هذه المكونات، أه، عشان كده بسمها + +416 +00:31:26,850 --> 00:31:30,330 +permanent by poles، مش هديك induced، هديك إيش + +417 +00:31:30,330 --> 00:31:34,130 +الأوجدها؟ الخارجي، game الخارجي بروح، برجعه ال + +418 +00:31:34,130 --> 00:31:37,530 +lag، مش هي تشوّهت وتتحركوا، طيب، game المجال، + +419 +00:31:37,530 --> 00:31:41,410 +برجعه، من رجحها قوة الجذب بين النواء والإلكترون، + +420 +00:31:41,410 --> 00:31:47,380 +فبرجع، تمام؟هدول لأ، تركيبتهم هم هيك، هيك ربنا + +421 +00:31:47,380 --> 00:31:52,360 +خلقهم، هدول بيسمون عندهم permanent eyeballs بس كيف + +422 +00:31:52,360 --> 00:31:56,760 +بنوزعين، كل واحد شطحان حاله، كل واحد على مزاجه، + +423 +00:31:56,760 --> 00:32:00,300 +واحد فوق، واحد تحت، واحد مائل، واحد رماهل، عشان + +424 +00:32:00,300 --> 00:32:03,860 +كده بتانية، عشان كده بنقول عنهم الـarrangement + +425 +00:32:03,860 --> 00:32:08,530 +باهم randomlyRandomly لما تجي تجيب المجال كهربائي + +426 +00:32:08,530 --> 00:32:12,870 +كله كل الديبولات تقريبا ربنا بيقول بيساوي Zero هيك + +427 +00:32:12,870 --> 00:32:17,630 +مزحوا معايا شوية تمام هجتهدول انا بيدحطهم في مجال + +428 +00:32:17,630 --> 00:32:22,050 +خارجي اذا بطلوا ع كيفهم في حدا مجبرهم ع شغله + +429 +00:32:22,050 --> 00:32:25,070 +المجال الخارجي ايه بيساوي تقوى جنبه؟ اعمل Torque + +430 +00:32:25,790 --> 00:32:30,790 +يعني بيلفوا كلهم بحيث ان يكون السالب بالاتجاه + +431 +00:32:30,790 --> 00:32:35,370 +والموجب بالاتجاه روحت حملتهم وحطتهم هيك حاجات انا + +432 +00:32:35,370 --> 00:32:38,590 +بدأ اصطناع اليوم كلهم جاعدين بيلفوا لما اترتبوا + +433 +00:32:38,590 --> 00:32:44,850 +بعد كده بيلفوا هيك اترتبوا اترتبوا العلم استبدل + +434 +00:32:44,850 --> 00:32:48,790 +كلمة ترتيب زي ما قال الفلتان ionization بسموها + +435 +00:32:48,790 --> 00:32:54,500 +polarization استقلبة المادةاستقطبت صار .. كيف احنا + +436 +00:32:54,500 --> 00:32:58,820 +استقطب؟ طلعوا صار الموجة بقى شجة والسالي بقى شجة، + +437 +00:32:58,820 --> 00:33:02,340 +هاي استقطب احنا بنقول المجتمع المستقطب، ان واحد في + +438 +00:33:02,340 --> 00:33:05,140 +اتجاه واتاني في اتجاه، مش هيك يصير؟ وهادي نفس + +439 +00:33:05,140 --> 00:33:11,200 +القضية، السالي في شجة والموجة في شغلة، تمام طبعا + +440 +00:33:11,200 --> 00:33:13,680 +احنا ايام زي ما بنقول هذا المعناته، صار في عندك + +441 +00:33:13,680 --> 00:33:18,780 +ميال كهربائيبطلع من الموجب للسالب معناته هي اتجاهه + +442 +00:33:18,780 --> 00:33:23,100 +عكس المجال الأصلي فمن جول الـ net electric field + +443 +00:33:23,100 --> 00:33:28,380 +جوه خس نقص لأنه عبارة عن الأصل نقص اللي إيجا جديد + +444 +00:33:28,380 --> 00:33:32,840 +لو كانت هذه المادة كوندكتر بقول لازم هذه يسوي هذا + +445 +00:33:32,840 --> 00:33:38,440 +ساعتها جوه إيش بيصير المجال؟ Zeroلو كانت conductor + +446 +00:33:38,440 --> 00:33:41,620 +لازم يساوي بعد لو insulator لأ بيساويش بعد بس + +447 +00:33:41,620 --> 00:33:47,780 +المجال بنقص شوية تمام هاي معناه استقطاب حلو نرجع + +448 +00:33:47,780 --> 00:33:53,900 +بس هنا اذا نقولنا ال torque بيساوي P cross ال E + +449 +00:33:53,900 --> 00:33:58,940 +this torque makes the molecules to line up + +450 +00:33:58,940 --> 00:34:05,040 +parallel to the field بتصفطوا line up بترتبوا مع + +451 +00:34:05,040 --> 00:34:11,850 +المجال الكهربائيto find the potential energy نريد + +452 +00:34:11,850 --> 00:34:14,590 +أن نشوف ال potential energy اللي اتخذها الجو + +453 +00:34:14,590 --> 00:34:17,290 +ونتيجة الدوران نريد أن نشوف ال potential energy + +454 +00:34:17,290 --> 00:34:19,350 +اللي اتخذها الجو ونتيجة الدوران نريد أن نشوف ال + +455 +00:34:19,350 --> 00:34:20,390 +نريد أن نشوف ال potential energy اللي اتخذها الجو + +456 +00:34:20,390 --> 00:34:20,890 +ونتيجة الدوران نريد أن نشوف ال potential energy + +457 +00:34:20,890 --> 00:34:26,230 +اللي اتخذها الجو ونتيجة الدوران نريد أن نشوف ال + +458 +00:34:26,230 --> 00:34:26,390 +potential energy اللي اتخذها الجو ونتيجة الدوران + +459 +00:34:26,390 --> 00:34:27,170 +نريد أن نشوف ال potential energy اللي اتخذها الجو + +460 +00:34:27,170 --> 00:34:28,190 +ونتيجة الدوران نريد أن نشوف ال potential energy + +461 +00:34:28,190 --> 00:34:30,430 +اللي اتخذها الجو ونتيجة الدوران نريدأنتوا بتعرفوا + +462 +00:34:30,430 --> 00:34:33,290 +الحركة الدورانية؟ في الحركة الدورانية زمان في + +463 +00:34:33,290 --> 00:34:36,410 +chapter 10 في فيزيا الف في الآخر قولنا في chapter + +464 +00:34:36,410 --> 00:34:41,290 +10 احنا بنعيد كل المادة صح ولا لا؟ كيف بتعيد كل + +465 +00:34:41,290 --> 00:34:45,910 +المادة؟ بنقول كل حاجة أخدتها تستبدل بنظير إلها + +466 +00:34:45,910 --> 00:34:50,490 +وأول حاجة الإزاحة بدل ما هي X أو Y إيش بتصير + +467 +00:34:50,490 --> 00:34:56,050 +الإزاحة الزاوية؟ فيتا صح؟ بتصير X في الحركة + +468 +00:34:56,050 --> 00:35:05,370 +الدورانية بتصير فيتا طب ويه؟وميجا طب اف؟ + +469 +00:35:05,370 --> 00:35:09,210 +عالي؟ + +470 +00:35:09,210 --> 00:35:12,970 +طورك؟ + +471 +00:35:12,970 --> 00:35:20,670 +ال linear momentum بي اللي بيسوي M في V ال + +472 +00:35:20,670 --> 00:35:24,930 +angular momentum طب سؤالي إيه لكم هجيتي M كيف + +473 +00:35:24,930 --> 00:35:26,510 +تستخدم؟ الشي ميو + +474 +00:35:32,310 --> 00:35:42,690 +م هذي كتلة ايش في حركة دورانية ال + +475 +00:35:42,690 --> 00:35:48,430 +moment of inertia ماشي + +476 +00:35:48,430 --> 00:35:52,650 +ال moment of inertia هي الكتلة الدورانية عشان كده + +477 +00:35:52,650 --> 00:35:59,490 +بنقول F بيسوي Ma ولا لأ تعرفوا هذا القانون؟ بتحوله + +478 +00:35:59,490 --> 00:36:05,810 +حركة دورانية ايش بدل ال F جنة؟N بدل هذه وهذه الـ + +479 +00:36:05,810 --> 00:36:11,030 +Angular Acceleration عشان كده هذه M V مين؟ قوللي + +480 +00:36:11,030 --> 00:36:16,330 +هذه إيش بالساوي؟ إيش بدل M مضحوط؟ وهذه سمعتوا + +481 +00:36:16,330 --> 00:36:23,350 +فيها؟ I في Omega I في Omega، إذاً I هي بتبدل M + +482 +00:36:23,350 --> 00:36:27,790 +طيب، أنا كنت هتشوف إن إيش جاب سيرتو، بدأتي بال + +483 +00:36:27,790 --> 00:36:32,560 +work و قلتلهم ال work أنا معرف إنه Fفضل الـDS صح + +484 +00:36:32,560 --> 00:36:36,780 +ولا لأ؟ هجيب يعملوا دوراة؟ إيش بدل الـAlpha Hot؟ + +485 +00:36:36,780 --> 00:36:42,860 +وبدل الـDS؟ دي الـTheta طيب، + +486 +00:36:42,860 --> 00:36:50,820 +برضه كمان معلومة هذه إيش وحدتها؟ جول وهذه + +487 +00:36:50,820 --> 00:36:56,200 +وهذه إذا الـNewton في المتير هو الجول إيش وحدت + +488 +00:36:56,200 --> 00:37:02,420 +الـTorque؟ قوة في إيه السوء؟ قولت يهودةإذا ما كانت + +489 +00:37:02,420 --> 00:37:09,060 +واحدة torque نيوتن في متر والجول .. إذا هل واحدة + +490 +00:37:09,060 --> 00:37:13,740 +هي هي عشان كده مرات كنت أقولهم أسئلة في فيزياء ألف + +491 +00:37:13,740 --> 00:37:17,540 +ال torque واحدة جول ماكنتش اللي هي لحانها واحد طلع + +492 +00:37:17,540 --> 00:37:21,960 +فيها وين ال torque مش موجودة هي الجول لكن طبعا + +493 +00:37:21,960 --> 00:37:24,820 +الجول غريبة شوية عشان كده مرات بيقولوا ال torque + +494 +00:37:24,820 --> 00:37:28,780 +بيقولوش نيوتن متر بيقولو متر نيوتنعشان يميزوا + +495 +00:37:28,780 --> 00:37:35,520 +بينهم تمام؟ طب لأنه هدى .. إيش وعدت هدى؟ مافيش لها + +496 +00:37:35,520 --> 00:37:38,720 +وحدة في الذكية أنا مانعش لها وحدة مافيش لها وحدة + +497 +00:37:38,720 --> 00:37:45,480 +عشان كده جول جول جول جول مظبوط ولا لأ؟ تمام أنا بس + +498 +00:37:45,480 --> 00:37:48,540 +عشان أقول إن الورق بيسوي N D Theta ماحد يقولي من + +499 +00:37:48,540 --> 00:37:52,180 +أين جيبت القانون هذا تمام؟ أخدنا في الphysiologist + +500 +00:37:52,180 --> 00:37:57,000 +بيقولي أنا بدي أجيبpotential energy بقول زمان + +501 +00:37:57,000 --> 00:38:00,820 +أخدنا أن الشغل بيساوي معدّر تغيّر الـ Δ U و الشغل + +502 +00:38:00,820 --> 00:38:05,200 +بيساوي N D ثيتا how do you find النقص U initial N + +503 +00:38:05,200 --> 00:38:10,160 +بيجيب هيها منها بي في E في صيني الزاوية بي في E في + +504 +00:38:10,160 --> 00:38:14,640 +صيني الزاوية ايش تفاضل صيني الثيتا D ثيتا التكامل + +505 +00:38:15,910 --> 00:38:20,210 +سالب cos فتة فسالب cos فتة من فتة نقطة لفتة + +506 +00:38:20,210 --> 00:38:24,050 +بيجلبها بيصير فتة نقطة نقص فتة طبعا في ال + +507 +00:38:24,050 --> 00:38:28,130 +potential energy دايما احنا نكون نعمل انه عند نقطة + +508 +00:38:28,130 --> 00:38:31,810 +معينة اعتبر ال potential energy zero ولا لا زي ما + +509 +00:38:31,810 --> 00:38:34,670 +كنا نقول من المنة نهائية لنقطة وبالتالي عند المنة + +510 +00:38:34,670 --> 00:38:38,750 +نهائية بالسوء سفر او انا بدأ اجلب هذا من ها لها + +511 +00:38:38,750 --> 00:38:43,230 +كيف اجيب دلتا U جسمها ساعتها U initial بتعتبره سفر + +512 +00:38:43,230 --> 00:38:50,710 +فلو بدأت اعتبر هذهكلها سفر يعني Fθ بيع اتنين هذا + +513 +00:38:50,710 --> 00:38:55,970 +.. هذا .. انا هيك هعطيه بس taking theta معناته ال + +514 +00:38:55,970 --> 00:39:02,570 +U بالساوي سالب P ضد ال E هذا سؤال هذا سؤال في + +515 +00:39:02,570 --> 00:39:06,090 +الكتاب بس انا عم اعمله مش عارف ايش رقمه هذا احد + +516 +00:39:06,090 --> 00:39:08,590 +الأسئلة بيقولك prove that U بالساوي سالب P ضد ال E + +517 +00:39:08,590 --> 00:39:09,930 +فهنا انا عملته في الشرح + +518 +00:39:13,820 --> 00:39:16,260 +طبعا بيقول if the minimum value of U is occurred + +519 +00:39:16,260 --> 00:39:19,460 +when θ بيساوي سفر لأنه لما θ بيساوي سفر U بيساوي + +520 +00:39:19,460 --> 00:39:23,540 +سالب PE و لما θ بيساوي πي عتنين بيساوي P بيساوي + +521 +00:39:23,540 --> 00:39:29,000 +موجب PE صح ولا لأ؟ لأن قصان ال πي سالب تصير موجب + +522 +00:39:29,000 --> 00:39:33,000 +بقى طيب + +523 +00:39:33,000 --> 00:39:38,360 +بيقول لو كان المجال طيب مش uniform ايش يعني مش + +524 +00:39:38,360 --> 00:39:41,670 +uniform؟ ده ليه رجع هنا؟بعدين عشان نكملها بعدين + +525 +00:39:41,670 --> 00:39:47,190 +انت طبعا عملت ليه QE و هنا QE صح؟ الشي هذي و الشي + +526 +00:39:47,190 --> 00:39:53,530 +هذي المجال هنا هي QE plus وهي QE negative لو كان + +527 +00:39:53,530 --> 00:39:57,310 +هذي uniform E لهن بيسوي E لهن طب لو ال E لهن + +528 +00:39:57,310 --> 00:40:00,370 +بيسويش ال E لهن إيش بقدر تسوي؟ بنشوف إيش المراجعين + +529 +00:40:00,370 --> 00:40:05,590 +عملها تمام؟عشان انا بدها تصير فيها average وتغير + +530 +00:40:05,590 --> 00:40:10,930 +ومش تغير فابنعمله ان شاء الله المرة اللي جاي + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/P1oL367Aals_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/P1oL367Aals_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..466347d88e3b6bc61577c11cf1012d1b79e693dd --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/P1oL367Aals_raw.srt @@ -0,0 +1,1864 @@ +1 +00:00:20,870 --> 00:00:23,310 +خلّيني أحكي عن الـ Conductors و الـ Conductors أنا + +2 +00:00:23,310 --> 00:00:26,690 +أصلا شرحته تفصيلا في فيزيا با و المعلومات بسيطة + +3 +00:00:26,690 --> 00:00:32,050 +جدا بس بدنا نعيد المعلومات و نشرحها أو نثبت بعض + +4 +00:00:32,050 --> 00:00:38,670 +الخواص بطريقة مختلفة احنا متفقين ايش بفرق ال + +5 +00:00:38,670 --> 00:00:45,680 +conductor عن ال insulator يا نسمة؟الكندكتر .. خد + +6 +00:00:45,680 --> 00:00:49,080 +.. بالبلدي فاكتش من الحفظ الكندكتر اول اش مثلا ليه + +7 +00:00:49,080 --> 00:00:52,200 +الشحنات الشحنات بتوزع فيها على ال .. على السطح + +8 +00:00:52,200 --> 00:00:57,880 +تمام لكن ال .. لغاية مواصلة انت خشيت بال .. بال .. + +9 +00:00:57,880 --> 00:01:00,880 +من العمق لأ يعني مادية كندكتر و مادية insulator + +10 +00:01:00,880 --> 00:01:05,540 +ايش بيميزهم فيزيائيا؟ الشحنات حضرة يعني بمعنى اخر + +11 +00:01:05,540 --> 00:01:09,540 +لسه متكندكتر هيك بالبلدي مواصلة عشان الشحنات تتحرك + +12 +00:01:09,540 --> 00:01:14,870 +بسهولة فيهإنستلاتور ممنوع تتحرك الشحنات نرجع الآن + +13 +00:01:14,870 --> 00:01:21,070 +للنقطة اللي حكيتها فيه Electrons تقريباً Free عشان + +14 +00:01:21,070 --> 00:01:25,070 +كده سميته conductor ايش free تقريباً قوة ربط + +15 +00:01:25,070 --> 00:01:29,050 +الإلكترونات بالنوا ضعيفة بيصير أي نفخة على + +16 +00:01:29,050 --> 00:01:34,390 +الإلكترون بيتحركهذا هو الـ conductors تمام؟ طبعا + +17 +00:01:34,390 --> 00:01:40,150 +النفخة أنا بقصد فيها force أي force تمام؟ بيقول ال + +18 +00:01:40,150 --> 00:01:44,310 +conductors in electrostatic equilibrium have the + +19 +00:01:44,310 --> 00:01:47,850 +following properties اللي حكت أول واحدة منهم نسمة + +20 +00:01:47,850 --> 00:01:53,120 +inside the conductorE must be zero داخل الكندكتر + +21 +00:01:53,120 --> 00:01:55,880 +أنا ممنوع يكون فيه مجال طبعا واحد يقول ما هو مافيش + +22 +00:01:55,880 --> 00:02:02,000 +شحنات جوا لكن أفضل نبدأ من هذا E inside is zero if + +23 +00:02:02,000 --> 00:02:05,660 +it is not طب أقنع نفسي ليش بقول اصلا لو مافيش هو + +24 +00:02:05,660 --> 00:02:09,980 +هذا الكندكتر تمام تتخيلوا ان انت الكندكتر طبعا هي + +25 +00:02:09,980 --> 00:02:14,780 +مادة مصممة نحاسة جوا فيه بروتونات وفيه إلكترونات + +26 +00:02:14,780 --> 00:02:20,480 +فيه لأنه هذه مادة atomsلكن ممنوع يتحركوا عشان كده + +27 +00:02:20,480 --> 00:02:24,180 +بقول electrostatic equilibrium لو في مجال جوا + +28 +00:02:24,180 --> 00:02:27,700 +الإلكترون بده يتحرك والبروترون بده يتحرك يبطل ال + +29 +00:02:27,700 --> 00:02:31,820 +electrostatic equilibrium وبالتالي if it is not + +30 +00:02:31,820 --> 00:02:35,580 +the free charges would move and it wouldn't be + +31 +00:02:35,580 --> 00:02:38,600 +electrostatic anymore إذا ممنوع يكون في عندك مجال + +32 +00:02:38,600 --> 00:02:42,520 +عشان تتحركش الإلكترونات اللي جوا وإلا بيبطل عندك + +33 +00:02:42,520 --> 00:02:48,050 +electrostatic equilibriumخلّيني اقنع نفسنا بطريقة + +34 +00:02:48,050 --> 00:02:52,150 +مختلفة قال لي هذا الهواء الانحاسي هذا الهواء + +35 +00:02:52,150 --> 00:02:57,730 +الانحاسي تمام؟ بدي احطه في مجال كهربائي خارجي هل + +36 +00:02:57,730 --> 00:03:02,950 +يا ترى جوا بيظل المجال zero؟ الاصل اه كيف؟ طب و + +37 +00:03:02,950 --> 00:03:07,810 +هذا المجال موجود، هذا خارجي كيف بده يصير zero؟ قال + +38 +00:03:07,810 --> 00:03:13,270 +لي اه نيجي نتطلع انا هذهشريحة انحاس حطيتها جوا + +39 +00:03:13,270 --> 00:03:17,190 +انحاس يعني فيها three electrons مظبوط او لا النفخة + +40 +00:03:17,190 --> 00:03:21,070 +بتحرك ال electrode والنفخة هي اللي شدت المجال + +41 +00:03:21,070 --> 00:03:28,200 +الكهربائي لأن F بيساوي Q في E فكل شحنة جواالنحاس + +42 +00:03:28,200 --> 00:03:32,940 +هتتأثر للمجاري الخارجي هتتحرك او مش هتتحرك؟ هتتحرك + +43 +00:03:32,940 --> 00:03:37,280 +لأنه conductor طيب كيف اتحركت؟ قاللي انت ماحدش + +44 +00:03:37,280 --> 00:03:41,580 +القانون اللي بيقول F بالساوة Q في E خدته؟ + +45 +00:03:41,580 --> 00:03:44,600 +الالكترونات + +46 +00:03:44,600 --> 00:03:49,220 +قوتها بأي اتجاه؟ و البروترونات بأي اتجاه؟ + +47 +00:03:50,440 --> 00:03:55,240 +الإلكترونات عكس المجال والبروتونات مع المجال تمام + +48 +00:03:55,240 --> 00:03:59,880 +إذا الإلكترون الـ free المجال رايح أشمال وين بده + +49 +00:03:59,880 --> 00:04:05,100 +يروح؟ يمين أول ما طلع الإلكترون من الأتم صارت موجة + +50 +00:04:05,100 --> 00:04:10,320 +بالأتمصح؟ وين بتروح؟ تجي ها. إذا إيه صار عندك؟ + +51 +00:04:10,320 --> 00:04:14,420 +بيسميه استقطبة المادة، صار استقطاب. في الأول كانت + +52 +00:04:14,420 --> 00:04:18,900 +الإلكيونات موزعة أشوائيا، لما انحطت في مجال + +53 +00:04:18,900 --> 00:04:25,060 +كهربائي أجبرت علي إنها تترتب، أجبرت. كل الإلكيونات + +54 +00:04:25,060 --> 00:04:29,540 +قطعا في حد بيجبرهم يروحوا هناوكل الـ positive + +55 +00:04:29,540 --> 00:04:34,140 +charges في حد بيجبرهم يجوهان أول ما انفصلت بيقول + +56 +00:04:34,140 --> 00:04:38,080 +لي صار في جوا مجال جديد مجال كهربائي بيجي من + +57 +00:04:38,080 --> 00:04:44,020 +الموجة بالسالف بقى إذا في مجال جاي من هنا صح؟ + +58 +00:04:44,020 --> 00:04:49,260 +هالجيش بدي أسألكم ال net electric field inside the + +59 +00:04:49,260 --> 00:04:52,680 +conductor عبارة عن some of two electric fields ولا + +60 +00:04:52,680 --> 00:04:58,940 +لأ؟ مجالين طب هتقول أجمحهم ولا تراحهم؟ طريقمهو + +61 +00:04:58,940 --> 00:05:01,900 +يجمع vectors لكن في النهاية عكس بعيد ولا مش عكس + +62 +00:05:01,900 --> 00:05:07,060 +بعيد؟ عكس بعيد يعني ممكن يكونوا zero وقت إيش؟ إذا + +63 +00:05:07,060 --> 00:05:11,820 +تساووا طب هم هدول من وين جاي؟ هدا من وين جاي؟ + +64 +00:05:11,820 --> 00:05:15,700 +جالها ده لو واحدة شحنة واحدة بيكون نوجة بسالب طب + +65 +00:05:15,700 --> 00:05:18,320 +لو شحنتين اللي انفصلوا بيزيد لو تلت شحنات اللي + +66 +00:05:18,320 --> 00:05:21,500 +انفصلوا بيضلوا يزيد بيضلوا يزيد بيضلوا يزيد لما + +67 +00:05:21,500 --> 00:05:25,080 +يساوي الخارجي بيصير المجال الكهربائي zero وبيبطل + +68 +00:05:25,080 --> 00:05:29,880 +في انفصالتمام؟ إذا بيضلوا المجال inside a + +69 +00:05:29,880 --> 00:05:34,080 +conductor must be zero بيقول consider a conductor + +70 +00:05:34,080 --> 00:05:38,140 +is put into an external electric field this will + +71 +00:05:38,140 --> 00:05:43,120 +drive .. هيجبر .. يجر .. drive three positive + +72 +00:05:43,120 --> 00:05:47,100 +charges to the left and negative charges to the + +73 +00:05:47,100 --> 00:05:52,160 +right انفصلوا تمام؟ these هدول الشحنات اللي + +74 +00:05:52,160 --> 00:05:55,520 +انفصلوا induce the charges .. يسمونهم induce + +75 +00:05:55,520 --> 00:05:55,980 +charges + +76 +00:05:58,540 --> 00:06:04,980 +produced a field E1 opposite to E0 إذا هذا الأحمر + +77 +00:06:04,980 --> 00:06:10,800 +جاي من المجال اللي جاء من ال induced charges + +78 +00:06:10,800 --> 00:06:13,400 +الشحنات اللي نسميها الشحنات التأثيرية لأنهم فصلوا + +79 +00:06:13,400 --> 00:06:18,490 +تمامهذه المجالات المدعومة ستستمر في الهواء حتى + +80 +00:06:18,490 --> 00:06:21,510 +يتحرك + +81 +00:06:21,510 --> 00:06:24,690 +المجالات + +82 +00:06:24,690 --> 00:06:29,970 +المدعومة تستمر في الهواء حتى يتحرك المجالات + +83 +00:06:29,970 --> 00:06:31,550 +المدعومة تستمر في الهواء حتى يتحرك المجالات + +84 +00:06:31,550 --> 00:06:35,610 +المدعومة تستمر في الهواء حتى يتحرك المجالات + +85 +00:06:35,610 --> 00:06:40,610 +المدعومة تستمر في الهواء حتى + +86 +00:06:40,610 --> 00:06:44,360 +يتحرك المجالات المدعومة تستمر في الهواءحتى لو كان + +87 +00:06:44,360 --> 00:06:48,980 +الـconductor موجود في external electric field طب و + +88 +00:06:48,980 --> 00:06:51,640 +بالنسبالي اللي شفتنا اللي على السطح، إيش حيصير؟ + +89 +00:06:51,640 --> 00:06:57,820 +خلّيها تشرد، وين بتروح؟ يعني .. حلو تمام، سؤالك + +90 +00:06:57,820 --> 00:07:00,460 +حلو، بس يا الله .. إسألي طب قريتنا لما نحطها في + +91 +00:07:00,460 --> 00:07:04,620 +مجال مجال، ليه علمها تتحرك؟ هي الـelectron هذا + +92 +00:07:04,620 --> 00:07:09,140 +الـconductor، هي السطح، مظبوط؟ المجال هيك + +93 +00:07:09,140 --> 00:07:14,600 +الـelectron هو اللي بيروح، بهيك طيب، وصل هناوين + +94 +00:07:14,600 --> 00:07:19,660 +بدني أروح بعد كده؟ بيقدر أدمش أكتر من كده؟ ليش؟ + +95 +00:07:19,660 --> 00:07:24,380 +خلاص، انه مافيه force بعدين .. لا فيه force، ليش + +96 +00:07:24,380 --> 00:07:28,760 +ما هي و هي .. هدول على السطح، صح؟ اللي بتسلي عنهم، + +97 +00:07:28,760 --> 00:07:33,920 +هيهم، و في عندي مجال خارجي هيك، هاجات وصله هان، + +98 +00:07:33,920 --> 00:07:36,760 +اللي أصل عليهم قوة عليهم قوة، ليش مش راضي أتحرك + +99 +00:07:36,760 --> 00:07:42,440 +أكتر من كده؟ في مادة عازلةفي مادة عازلة لكن لما + +100 +00:07:42,440 --> 00:07:45,380 +كانت جوا كان أول .. قبل ما أحط هذا .. هذا مجال + +101 +00:07:45,380 --> 00:07:47,940 +الخارجي كان في إلكترون هنا ولا مافيش؟ في ما هو .. + +102 +00:07:47,940 --> 00:07:51,540 +هذا conductor بدي أشحنه في شحنات هنا و هنا و هنا و + +103 +00:07:51,540 --> 00:07:56,140 +كل حاجة دي بتهدأ اللي هان بقوله شرف يا أخ لازم + +104 +00:07:56,140 --> 00:07:59,120 +تيجي هنا تمام؟ قال لي في أي طريق؟ فقوله في أي طريق + +105 +00:07:59,120 --> 00:08:02,040 +هذا conductor دلو ماشي لعمل هنا بقوله والله ما أنا + +106 +00:08:02,040 --> 00:08:05,600 +قادر سكر الشوارع على حال جيته ليش؟ لأن في مادة + +107 +00:08:05,600 --> 00:08:12,480 +عازلة همتى عليها كيف؟ تمامأصلا هدول الشمّة هدول + +108 +00:08:12,480 --> 00:08:14,880 +surface charges لو كانت + +109 +00:08:19,520 --> 00:08:24,320 +inside the conductors رو بتساوي zero طب اه هو مزال + +110 +00:08:24,320 --> 00:08:29,320 +المجال يوه zero و gauss is low بيقول ليه اي اي سطح + +111 +00:08:29,320 --> 00:08:33,460 +مغلق اذا اي سفر مافيش شحنات معناته مظبوط ولا لأ؟ + +112 +00:08:33,460 --> 00:08:37,940 +inside the conductors رو بتساوي zero الشحنات + +113 +00:08:37,940 --> 00:08:41,800 +تتمركز على الأسطح الخارجية لل conductors مظبوط ولا + +114 +00:08:41,800 --> 00:08:46,340 +لأ؟this follows from Gauss's law وهذه تحصيل حاصل + +115 +00:08:46,340 --> 00:08:50,040 +من Gauss's law مستحيل يكون عندك شحنات وإلا بتناقض + +116 +00:08:50,040 --> 00:08:55,300 +من الخاصية الأولى أن كف E تكون Zero تمام؟ طبعا + +117 +00:08:55,300 --> 00:08:59,560 +بيقول في قانون هذا ذاكر ان هو هذا القانون؟ صح؟ طيب + +118 +00:08:59,560 --> 00:09:05,120 +لو هذه Zero مسموح هذه تكون Zero؟ لأ طبعا since E + +119 +00:09:05,120 --> 00:09:08,180 +equal to zero then rho equal to zero the charge + +120 +00:09:08,180 --> 00:09:12,970 +resides on the outer surfaces طبعاما هو هذه تحصل + +121 +00:09:12,970 --> 00:09:17,810 +منها دي تمام a conductor is an equipotential + +122 +00:09:17,810 --> 00:09:22,630 +surface إيش يعني equipotential؟ equal من equal + +123 +00:09:22,630 --> 00:09:29,730 +متساوي الجهود بيقول أي سطح conductor سطحه جهد عليه + +124 +00:09:29,730 --> 00:09:34,630 +ثابت الجهد عليه ثابت إذا كل ال conductors يعتبروا + +125 +00:09:34,630 --> 00:09:38,450 +equipotential surfaces مينفعش إلا يكون هيك بيجي + +126 +00:09:38,450 --> 00:09:41,010 +نجرب كيف هاي conductor + +127 +00:09:44,800 --> 00:09:48,600 +هذه النقطة وهذه النقطة دعنا نسمي هذه واحدة و هذه + +128 +00:09:48,600 --> 00:09:56,720 +اتنين بدي اجيب فرق الجهد بينه two points بدي V و + +129 +00:09:56,720 --> 00:10:00,380 +اتنين لأ واحدة جيب واحدة و اتنين و اتنين واحدة + +130 +00:10:00,380 --> 00:10:10,120 +واحدة V2-V1 بالساوي سالب من واحد لاتنين E.DL صح؟ + +131 +00:10:10,120 --> 00:10:16,680 +اتباعك ولا لا؟ اي E بدك بالمنوميلبين واحد و اتنين + +132 +00:10:16,680 --> 00:10:22,780 +اول بين واحد و اتنين وهدي اي E؟ ال N هدي ال N لأنه + +133 +00:10:22,780 --> 00:10:26,700 +من هال لهال مش انا جوه و هدا conductor فيه مجال + +134 +00:10:26,700 --> 00:10:32,160 +هدي Zero معناته هدي بيسوي هدي صح كذا؟ اذا هدي + +135 +00:10:32,160 --> 00:10:35,200 +بيسوي هدي يعني الجهد على السطح بيسوي الجهد جوه و + +136 +00:10:35,200 --> 00:10:40,160 +الجهد جوه ثابت الجهد جوه ثابت ثابت معناته عند اي + +137 +00:10:40,160 --> 00:10:49,310 +نقطة ثابت صحيح؟ تمام هذه أول حاجةهو ثابت، هو مجرد + +138 +00:10:49,310 --> 00:10:52,770 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +139 +00:10:52,770 --> 00:10:57,810 +مجرد مجرد + +140 +00:10:59,190 --> 00:11:01,870 +يقول لي if a and b بدل واحد واثنين حاطة a وb أنا + +141 +00:11:01,870 --> 00:11:06,810 +تاول if a and b are two points within or at the + +142 +00:11:06,810 --> 00:11:11,390 +surface of a conductor then هي .. بس أنا تاول حاطت + +143 +00:11:11,390 --> 00:11:15,310 +اتنين واحد اذا كنتوا ذاكرين مناخص من a لb اضطر + +144 +00:11:15,310 --> 00:11:19,270 +الـd in بيقول لي but e is inside equal to zero اذا + +145 +00:11:19,270 --> 00:11:25,550 +va بتثور vp is a constant وبتثور على السطحهنرجع + +146 +00:11:25,550 --> 00:11:28,930 +للسطح كمان مرة بيقول لي just outside a conductor + +147 +00:11:28,930 --> 00:11:34,830 +وين just outside بيقوللي هنا بس برا هاي just + +148 +00:11:34,830 --> 00:11:39,090 +outside يعني outside غير عن just outside نعرف just + +149 +00:11:39,090 --> 00:11:43,640 +outside يعني على السطح لما نقول just outout of + +150 +00:11:43,640 --> 00:11:46,420 +this room يعني هو أقف على الباب لكن outside the + +151 +00:11:46,420 --> 00:11:50,780 +room ممكن يكون في غفح تمام just outside a + +152 +00:11:50,780 --> 00:11:54,360 +conductor E must be perpendicular to the surface + +153 +00:11:54,360 --> 00:11:58,000 +perpendicular to the surface and equal to sigma + +154 +00:11:58,000 --> 00:12:02,500 +على epsilon node تمام، نريد أن نشرحها بطريقة دي، + +155 +00:12:02,500 --> 00:12:06,880 +بطريقة البدائية تحت فيزيا بقى نذكركم فيها تمام، + +156 +00:12:06,880 --> 00:12:13,670 +أندي أنا شكل، أي شكل مش بدلورة كروي، هذا شكلبس ده + +157 +00:12:13,670 --> 00:12:19,830 +حجم ده سطح مش خط سطح انا بدي اكون just outside + +158 +00:12:19,830 --> 00:12:23,310 +بتكون جريب على السطح مش جريب على السطح جريب على + +159 +00:12:23,310 --> 00:12:25,610 +السطح لما اكون جريب على السطح بعتبر السطح infinite + +160 +00:12:25,610 --> 00:12:30,290 +ولا لأ اه بعتبر السطح infinite مازال السطح + +161 +00:12:30,290 --> 00:12:34,270 +infinite طبق قانون جاوس ولا لأ طبق قانون جاوس هى + +162 +00:12:34,270 --> 00:12:46,220 +انت هنا معناته هى نقطة اكم سطح للصوانةتلاتة الان + +163 +00:12:46,220 --> 00:12:53,600 +انا بدي اقول ايه بيكون عمودي تمام هذا روح هذا روح + +164 +00:12:53,600 --> 00:12:59,500 +وهذا جوا ال conductor في مجال وهذا روح وهذا روح + +165 +00:12:59,500 --> 00:13:04,300 +ايش ضال؟ هذا قانون جاوس بيقول ايه في ايه بيساوي Q + +166 +00:13:04,300 --> 00:13:11,260 +in ايش Q in بيساوي؟ سيجما في ايه؟ صح؟ + +167 +00:13:11,840 --> 00:13:17,600 +إذا ما جدّش E سيجما على Y نوت دي اللي مش هجيبها + +168 +00:13:17,600 --> 00:13:22,700 +أكيد طيب + +169 +00:13:22,700 --> 00:13:30,540 +بدي أشرحها بطريقة تانية متقدمة أحلى طبعا + +170 +00:13:30,540 --> 00:13:33,680 +أنا بدي أجيب شدة المجال وين؟ بدي أجيب شدة المجال + +171 +00:13:33,680 --> 00:13:36,360 +عند النقطة هذه شايفها؟ والنقطة لازم تكون على السطح + +172 +00:13:37,340 --> 00:13:41,200 +مش اتفقنا؟ خنون جاوس تمام بديش اشتغل حدث هاد + +173 +00:13:41,200 --> 00:13:44,600 +الفرقة التي زي بقى applying the boundary condition + +174 +00:13:44,600 --> 00:13:48,340 +بديتك boundary condition ذاكره ان هو اللامن ذاكره + +175 +00:13:48,340 --> 00:13:53,920 +هاد ال boundary condition أخدناه ذاكرينه واشتقناه + +176 +00:13:53,920 --> 00:13:58,620 +مع بعض جالي E out نقص E in بسوة سيجما على أبتر نوت + +177 +00:13:58,620 --> 00:14:03,980 +غديل جديش E inبرو علينا، هذه عندي الـboundary جاءت + +178 +00:14:03,980 --> 00:14:07,500 +بالك يعني just outside معناته E out بالساوية Sigma + +179 +00:14:07,500 --> 00:14:12,720 +على أبسلون نوت N، إيش يعني N؟ إيه يعني إيه مبتجهة؟ + +180 +00:14:12,720 --> 00:14:15,920 +إيش مبتجهة؟ ليش حطت N ماحطتش M؟ + +181 +00:14:17,330 --> 00:14:21,910 +عشان هو normal، اتمنى؟ Normal للـ Surface إذا نطلع + +182 +00:14:21,910 --> 00:14:25,210 +E بيسوي Sigma على Epsilon نقطة و Normal لل Surface + +183 +00:14:25,210 --> 00:14:28,430 +Just outside a conductor E is perpendicular to the + +184 +00:14:28,430 --> 00:14:32,610 +surface and equal to Sigma على Epsilon نقطة تمام؟ + +185 +00:14:32,610 --> 00:14:35,150 +هذه الطريقة المتقدمة بتاعة الـ Boundary Condition + +186 +00:14:35,150 --> 00:14:37,390 +في الفيزيا بقى ماكناش ناخد Boundary Condition فكنا + +187 +00:14:37,390 --> 00:14:41,750 +نشرح الحلوميها بهذه الطريقةبقول لي applying the + +188 +00:14:41,750 --> 00:14:44,030 +boundary condition to the surface of a conductor + +189 +00:14:44,030 --> 00:14:48,930 +Gibbs تمام اعطاني هبط E in بيستوى سفر فطلعت E out + +190 +00:14:48,930 --> 00:14:51,850 +بيستوى سيجما على أبسل نوت و normal to the surface + +191 +00:14:51,850 --> 00:14:55,770 +normal to the surface بدي أرجعلك الآن النقطين A و + +192 +00:14:55,770 --> 00:15:04,750 +B ذكرهم النقطين A و B بينك هاي A و هاي Bبدي VB-VA + +193 +00:15:04,750 --> 00:15:14,350 +سواء تكامل سالب من A ل B E ضد ال DL صح؟ وين المصار + +194 +00:15:14,350 --> 00:15:24,170 +DL؟ من A ل B بنفع أخد هذا؟ بنفع حلو، قدش الزاوية + +195 +00:15:24,170 --> 00:15:25,450 +بين هذا المصار و E؟ + +196 +00:15:30,640 --> 00:15:36,360 +تلقى اجرأولي هذه المعلومة ماله ايه؟ عمودي على + +197 +00:15:36,360 --> 00:15:42,880 +السطح والخط الأزرق مماث مماث جدتش زاوية بين ايه و + +198 +00:15:42,880 --> 00:15:46,260 +دي ايه؟ تسعين و هذا الـproduct بيجيب sign و لا + +199 +00:15:46,260 --> 00:15:51,410 +cosine؟وقصان التسعين يهو ده؟ Zero إذا طلعت Zero + +200 +00:15:51,410 --> 00:15:56,710 +إذا هنا و هنا الجهود ثابت تمام هيك؟ إذا كان جوا و + +201 +00:15:56,710 --> 00:16:01,210 +برا ولا تنتنع السطح الجهود ثابت رجعنا إن ال + +202 +00:16:01,210 --> 00:16:04,750 +surface is an equipotential surface surface of a + +203 +00:16:04,750 --> 00:16:06,690 +conductor تمام؟ + +204 +00:16:20,790 --> 00:16:24,890 +surface charge and the force on a conductor تما + +205 +00:16:24,890 --> 00:16:28,230 +انت سألتي عن الاتشارج اللي على ال surface ماهي + +206 +00:16:28,230 --> 00:16:32,970 +أخبارها؟ مظبوط ولا لأ؟ تما بيقوللي applying the + +207 +00:16:32,970 --> 00:16:35,150 +boundary condition to the surface of a conductor + +208 +00:16:35,150 --> 00:16:38,870 +again بيقوللي كنا بنعرف ان E out ناقص E in بيساوي + +209 +00:16:38,870 --> 00:16:44,630 +سجما على ي في N تما؟ لا ال conductor جديش E in؟0 + +210 +00:16:44,630 --> 00:16:47,670 +بيقول ليه؟ طبعا هذه بس بدي أحطها partial V out على + +211 +00:16:47,670 --> 00:16:50,890 +partial N ما أحنا عارفينها هذه تمام و هذه Zero + +212 +00:16:50,890 --> 00:16:54,890 +أصلا لأن V هي constant وبالتالي فضلها بتطلع Zero + +213 +00:16:54,890 --> 00:16:59,730 +but V in is constant فصار عندك هي Sigmaكيف نجيب + +214 +00:16:59,730 --> 00:17:02,750 +سيجما؟ بقوله هيجيبني سيجما إذا بتعرف أنت Vout، + +215 +00:17:02,750 --> 00:17:05,270 +بتلعبلي علك سيجما، حلو إذا سيجما بيساوي سالب + +216 +00:17:05,270 --> 00:17:08,410 +epsilon not partial V out على partial L In the + +217 +00:17:08,410 --> 00:17:12,170 +presence of an external electric field اللي طوا + +218 +00:17:12,170 --> 00:17:14,970 +حاطناهم و حانوا صاروا فيه عندي مجال، بدوا يكون فيه + +219 +00:17:14,970 --> 00:17:20,550 +قوة The charge will experience a force according + +220 +00:17:20,550 --> 00:17:26,040 +to إيش هو القانون التبعي؟ F بيساوي Q في Eوالـ Q + +221 +00:17:26,040 --> 00:17:32,880 +مستوى سجنها في إيه؟ أمي؟ تمة؟ والـ E هدا هي طيب + +222 +00:17:32,880 --> 00:17:37,680 +بدي ال force per unit area بدي أقسم على ال area طب + +223 +00:17:37,680 --> 00:17:41,300 +ال force per unit area كمية فيزيائية مشهورة الشيه + +224 +00:17:41,300 --> 00:17:47,800 +او شدة صح او بالمعنى البلدي الأكتر مشهور ال + +225 +00:17:47,800 --> 00:17:53,060 +pressure هو شدة تنسي هو pressure تمها؟ + +226 +00:17:57,500 --> 00:18:02,080 +هذا الـ small F هي force per unit area نسوي sigma + +227 +00:18:02,080 --> 00:18:06,220 +فيه، جسمت على A، مش أكتر But since E is + +228 +00:18:06,220 --> 00:18:09,980 +discontinuous، اي E تاخد، انت قاعد بتجيب على + +229 +00:18:09,980 --> 00:18:15,060 +السطح، تمام؟ والسطح هذا، من هنا فيه سطح ومن هنا + +230 +00:18:15,060 --> 00:18:21,230 +فيه سطح، يعني مفترض انه نرجع لهناهيو السطح طب أخو + +231 +00:18:21,230 --> 00:18:23,030 +دي البراني ولا الجواني؟ قال لي لا هنا في عندك + +232 +00:18:23,030 --> 00:18:26,650 +مشكلة هنا في مجال و هنا في مجال و مش بيسويش بعض + +233 +00:18:26,650 --> 00:18:30,170 +فالصح إيش تسوي؟ خد مجموع حد و مجموع حد و قسمهم على + +234 +00:18:30,170 --> 00:18:33,310 +اتنين لو كانوا متساويين هو هو لكن لما كنتوا مش + +235 +00:18:33,310 --> 00:18:36,370 +متساويين تعملها طب أنا عندكي الآن، بدي أخد هذا و + +236 +00:18:36,370 --> 00:18:40,130 +أخد هذا، جدش هذا؟اللي جوا zero إذا هاد بدي جسمه ع + +237 +00:18:40,130 --> 00:18:44,990 +اتنين تمام بيقولي بقى the four the but E is + +238 +00:18:44,990 --> 00:18:48,150 +discontinuous إذا نجمك تسوي قالي باخدي ال A و + +239 +00:18:48,150 --> 00:18:52,500 +باخدي ال E لإنه بجسم ع اتنين و هاد جديشzero فطلعت + +240 +00:18:52,500 --> 00:18:55,780 +هدا هي اذا هدا هي ال force مافيش عليها تطبيقات ايه + +241 +00:18:55,780 --> 00:18:59,340 +اللي في بعض الشغلات المعينة بس قانون مرات بامور + +242 +00:18:59,340 --> 00:19:01,440 +يعني مافيش عليها تطبيقات انه انا كيف هجيب ال + +243 +00:19:01,440 --> 00:19:05,240 +pressure وتوثأ لاني نور انا ايه ال force بيصير + +244 +00:19:05,240 --> 00:19:08,340 +فيهم بيصير عليهم ضغط معين لكن مقدرش نتحركه تمام + +245 +00:19:08,340 --> 00:19:11,620 +نتيجة وجود العازل which is the pressure on the + +246 +00:19:11,620 --> 00:19:17,320 +surface of a conductor اخر موضوع هو ال capacitors + +247 +00:19:17,320 --> 00:19:22,570 +سمعتوا فيهم؟الكمية الفيزيائية المشهورة بالـ + +248 +00:19:22,570 --> 00:19:22,850 +capacitance + +249 +00:19:27,340 --> 00:19:32,720 +فراد ابرأه علينا بيقول لي الـ Capacitor مجموعة من + +250 +00:19:32,720 --> 00:19:36,060 +اتصالين اتصالين اتصالين اتصالين اتصالين اتصالين + +251 +00:19:36,060 --> 00:19:40,500 +اتصالين اتصالين اتصالين اتصالين اتصالين اتصالين + +252 +00:19:40,500 --> 00:19:42,400 +اتصالين اتصالين اتصالين اتصالين اتصالين اتصالين + +253 +00:19:42,400 --> 00:19:42,960 +اتصالين اتصالين اتصالين اتصالين اتصالين اتصالين + +254 +00:19:42,960 --> 00:19:43,540 +اتصالين اتصالين اتصالين اتصالين اتصالين اتصالين + +255 +00:19:43,540 --> 00:19:46,500 +اتصالين اتصالين اتصالين اتصالين اتصالين اتصالين + +256 +00:19:46,500 --> 00:19:51,200 +اتصالين اتصالين اتصالين اتصالينساعة دي بخمسة + +257 +00:19:51,200 --> 00:19:54,400 +وبالتالي النتي تشارج لأي كابيستر لازم يكون Zero + +258 +00:19:54,400 --> 00:19:57,400 +The capacitor when it charges the two conductors + +259 +00:19:57,400 --> 00:20:00,840 +have equal but opposite charges The capacitance + +260 +00:20:00,840 --> 00:20:07,200 +وبنعرف ان C بيساوي Q على V اذا C بيساوي Q على V و + +261 +00:20:07,200 --> 00:20:10,960 +مرة بيقولوا بيكون absolute value طب إيش هي Q وإيش + +262 +00:20:10,960 --> 00:20:15,670 +هي V؟هي الشحنة على واحد من الـ two conductors ليس + +263 +00:20:15,670 --> 00:20:17,190 +الـ net charge + +264 +00:20:21,780 --> 00:20:26,220 +الجهود و لا فرق الجهود هذا فرق الجهود بس هو العصر + +265 +00:20:26,220 --> 00:20:29,260 +يكتبوا Delta V بس قالوا خلاص فانتجتك من ال Delta و + +266 +00:20:29,260 --> 00:20:33,640 +افهم ان هاد ال V هي Delta V بس تسهيلة للكتابة + +267 +00:20:33,640 --> 00:20:38,400 +حطوها V فهادي V هي ال potential difference between + +268 +00:20:38,400 --> 00:20:41,720 +the two conductors with a Q in the charge on + +269 +00:20:41,720 --> 00:20:46,240 +either conductor على واحد منهم مش حترين مع بعضو V + +270 +00:20:46,240 --> 00:20:50,840 +هي الفرق الممكن أن يكون بين الانتجارين يعني الأصل + +271 +00:20:50,840 --> 00:20:55,720 +يكون فيه دل و اتفقنا دل راح تتسهيل مش أكتر تمام؟ + +272 +00:20:55,720 --> 00:20:59,940 +لتشحن كباسيتر كيف أنت بتشحن الكباسيتر؟ خليني أنجلي + +273 +00:20:59,940 --> 00:21:02,480 +أنا وياكم مرة حاطيتها في الفيزياء بقى و قمتلها + +274 +00:21:02,480 --> 00:21:05,880 +رسمة بال power point و خليتها تتحولي و تروح و تيجي + +275 +00:21:05,880 --> 00:21:13,720 +حلوة بس ماعيش وجه اعملها اقول هاي كباسيتر و هاي + +276 +00:21:13,720 --> 00:21:14,320 +بطارية + +277 +00:21:17,470 --> 00:21:21,390 +هذا كوندكتر وهذا كوندكتر يعني فيه free electrons + +278 +00:21:21,390 --> 00:21:27,870 +صح ولا لأ؟ حلو هذا خطب إيش؟ موجب و هنا إلكترونات + +279 +00:21:27,870 --> 00:21:31,210 +موجودة بشمهم ولا بشمهم إيش؟ بشمهم و إيش بيقولوا + +280 +00:21:31,210 --> 00:21:37,830 +تعالي بصحبهم إذا الإلكترونات الحلوي بدهم يجهان هذا + +281 +00:21:37,830 --> 00:21:40,590 +راح من الإلكترونات و كوندكتر و carry neutral إيش + +282 +00:21:40,590 --> 00:21:48,370 +صار؟ براو علينا إذا هذا شحن بموجب هذا لزج هنابس + +283 +00:21:48,370 --> 00:21:52,890 +هذه مش أي شيء، هذه بطارية، إيش مهمتها؟ إلها + +284 +00:21:52,890 --> 00:21:57,330 +Electromotive Force قوة دافعة كهربية، وليه اسمها + +285 +00:21:57,330 --> 00:22:00,810 +قوة دافعة كهربية؟ إنها بتجيب الإلكترون وبتضربه + +286 +00:22:00,810 --> 00:22:05,580 +وبتروح روح من عندي، بتزجهبتجيبه غصب عنه هان هي + +287 +00:22:05,580 --> 00:22:10,120 +شغلت البطارية وأنا أيامها مثلت بعبارة عن مضخة + +288 +00:22:10,120 --> 00:22:14,320 +نفورة اللي بتطلع الميه من أسفل إلى أعلى فإذا بدي + +289 +00:22:14,320 --> 00:22:17,320 +حد ينطلع حاله أعلى بعد كده لما تصل لأعلى النفورة + +290 +00:22:17,320 --> 00:22:20,820 +فيه موتور فوق ينزلها لأسفل ولا تنزل لحالها تنزل + +291 +00:22:20,820 --> 00:22:25,980 +لحالها فانا هادي البطارية شغلتها تجبر الإلكرون + +292 +00:22:25,980 --> 00:22:29,420 +اللي منزلت فيها بفعل قوة الـ electrostatic force + +293 +00:22:29,420 --> 00:22:33,420 +بتقوله تعالى تمسكه من أيدي و بتحطه هانأول ما تحطه + +294 +00:22:33,420 --> 00:22:38,420 +هنا إيش بيلاقي؟ قطب سالب لحاله بيشرد بواسطة + +295 +00:22:38,420 --> 00:22:44,460 +التناخر وين بيصل؟ بيصل هناانشحن بيضلوا هذه العملية + +296 +00:22:44,460 --> 00:22:48,040 +تعمل تشغل تشغل لمصير جهود هدى بيسوي جهود هدى بيبطل + +297 +00:22:48,040 --> 00:22:51,420 +تنتقل الشحنات لإن تنتقل الشحنات إذا ما يكون فيه + +298 +00:22:51,420 --> 00:22:54,460 +فرق جهود لكن إذا تساويت الجهود بيسكتوا الإلكترونات + +299 +00:22:54,460 --> 00:22:58,700 +خلصنا طيب إيش عملت عنها؟ نجلت شحنات و لما نقول + +300 +00:22:58,700 --> 00:23:02,840 +شحنات بتجي شغل ولا بتجي الشغل؟ شغل البذل من البذل + +301 +00:23:02,840 --> 00:23:06,680 +الشغل البطاريةطيب، إيش صار هنا؟ تخزّلة الشغل + +302 +00:23:06,680 --> 00:23:11,220 +تتخزّن جوها طاقة، صح؟ إذا لما أشحن المكثف، أنا + +303 +00:23:11,220 --> 00:23:14,300 +بنقول شحنات، معناته في طاقة تخزّنت زي لما أقول هدا + +304 +00:23:14,300 --> 00:23:17,220 +منها لها، تتخزّن الطاقة هنا ولا لا، و أنا قاعد + +305 +00:23:17,220 --> 00:23:21,120 +بنقول شحنات، هذه معناته مكثف بنشحن، أنا بنقول + +306 +00:23:21,120 --> 00:23:26,680 +شحنات، إذا قطعا أي مكثف انشحن، جواته طاقة مخزنة، + +307 +00:23:26,680 --> 00:23:32,930 +نتيجة نقل الشحنات اللي عملكها، احكيحكينا إنه هي + +308 +00:23:32,930 --> 00:23:37,130 +البطارية تطلع على الشيخنات السالبة، الفعل هو ده، + +309 +00:23:37,130 --> 00:23:40,170 +مش هتلاقي قدامها مقوب السالم، يعني هتنافر منه و + +310 +00:23:40,170 --> 00:23:44,530 +المفروض ترجع، ليش .. و احنا ايش كنا .. هو .. هو لو + +311 +00:23:44,530 --> 00:23:47,510 +انها مش بطارية، تقدر تمسك الإلكترون من إيده و + +312 +00:23:47,510 --> 00:23:50,510 +تضجه؟ لأ تقدرش، يعني لو دي واحد و واحد اتنين + +313 +00:23:50,510 --> 00:23:54,530 +متحاربين، أنتي و صحبيتك ما ..إن شاء الله ما يصير، + +314 +00:23:54,530 --> 00:23:58,030 +متحاربين، لما يجي الواسطة، لو أفلتكم لحالكم، + +315 +00:23:58,030 --> 00:24:02,330 +بتتجربوش، غصب عنكم، بيجيبكم، بيسلموا مع بعض، إذا + +316 +00:24:02,330 --> 00:24:07,490 +ان الاجبرات أجبار، حتى يعني الاجبرات خارج نطاق + +317 +00:24:07,490 --> 00:24:11,010 +شغلتها طبيعية، الطبيعي إنها ما تروحش على السالب، + +318 +00:24:11,010 --> 00:24:15,090 +صح؟ لكن في حد أجبرها، بتروح، و بعدين أول ما وصلت، + +319 +00:24:15,090 --> 00:24:19,330 +شردت، بفعل القوة الطبيعية، خلاص راحت الواسطة، + +320 +00:24:19,330 --> 00:24:25,190 +حطوها و بعدينأه وصة خلاص هي طول من هنا لهنا ممنوع + +321 +00:24:25,190 --> 00:24:29,450 +تيجي لكن لما تصل هنا خلاص في قوة بتطرتها بتطرتها + +322 +00:24:29,450 --> 00:24:32,470 +وفي سلك مسموح لك تمشي فيه هي المشكلة في هذه + +323 +00:24:32,470 --> 00:24:35,550 +المنطقة وها دي شغلة البطارية زي ما حكت جمانها أنها + +324 +00:24:35,550 --> 00:24:39,790 +تنجل زي .. زي بالظبط زي الشغل أنا ها دي بتطلحها + +325 +00:24:39,790 --> 00:24:45,330 +فوق لحالها بتطلع انا بدي حد نطلع نطلعتك بعدين + +326 +00:24:45,330 --> 00:24:48,490 +بقوله انزل بقول كاش مدي واسطة بقول له انزل لحاله + +327 +00:24:48,490 --> 00:24:51,190 +انت عليا خلاص وصل هاي اللي .. اللي صار + +328 +00:24:54,920 --> 00:24:57,400 +بقولي to charge a capacitor عشان تشحن انت + +329 +00:24:57,400 --> 00:25:00,220 +capacitor إيش بيصير؟ Electrons are transformed + +330 +00:25:00,220 --> 00:25:04,100 +بأنقل الإلكترونيات from one plate to the other in + +331 +00:25:04,100 --> 00:25:09,200 +doing so work isقمت بعمل عملية بطارية بطارية + +332 +00:25:09,200 --> 00:25:16,920 +بطارية تمام هذه العملية تم تخزينها كإنجليزيا في + +333 +00:25:16,920 --> 00:25:21,400 +مجال الكباسيتر الكهربائي هذه العملية يمكن تخزينها + +334 +00:25:21,400 --> 00:25:24,560 +بسهولة ك .. كيف بدي أحسبها؟ فهو قال إنت كيف ال + +335 +00:25:24,560 --> 00:25:28,860 +work بتعمله؟ قلنا ال work بساوة Q المنقولة في شرق + +336 +00:25:28,860 --> 00:25:33,450 +الجهودزاكرين؟ تمام انتش بتسوي بتنقل جاعة شحنات + +337 +00:25:33,450 --> 00:25:39,850 +صغيرة بتنقل شحنات DQ هذه DW DW هي الشغل اللازم + +338 +00:25:39,850 --> 00:25:43,210 +عشان تنقل شحنة واحدة مقدارها DQ بين طرفي الكباسيتر + +339 +00:25:43,210 --> 00:25:48,830 +صح ولا لأ؟ تمام is a total work بتسوي تكامل V دي Q + +340 +00:25:48,830 --> 00:25:57,870 +ولا لأ؟ صح؟ طب هذه هي Q على C فبالتالي + +341 +00:25:57,870 --> 00:25:59,210 +لما تيجي تعملها + +342 +00:26:02,270 --> 00:26:06,570 +Q على C دي Q من وين لو وين كان فاضي و صار مليان + +343 +00:26:06,570 --> 00:26:11,090 +انت كنت بتكمل على دي Q فQ تربيع على 2C هذه هي + +344 +00:26:11,090 --> 00:26:16,610 +الطاقة اللي مخزنة جوا ال conductor وعشان ما تزعلش + +345 +00:26:16,610 --> 00:26:22,170 +هدا أجيبلك الرسمة تبعت فيزيا بها + +346 +00:26:22,170 --> 00:26:26,710 +و + +347 +00:26:26,710 --> 00:26:27,230 +روحت هنا + +348 +00:26:31,650 --> 00:26:36,650 +Chapter واحد تانية تلاتة اربعة صح اربعة + +349 +00:27:41,150 --> 00:27:47,410 +مش غلبة هي بس مش عارف شكلهجفّل معايا يعني بدّو + +350 +00:27:47,410 --> 00:27:49,570 +يعاكس هيوزن ضباط + +351 +00:28:32,880 --> 00:28:38,060 +بس شوية عشان تشوف الحركة اللي عملناها + +352 +00:28:42,980 --> 00:28:46,540 +طبعا المشكلة اللي بتحكيها انت من هال لهال اللي + +353 +00:28:46,540 --> 00:28:52,020 +بينقله من هال لهال هي البكترية بس يعني + +354 +00:28:52,020 --> 00:28:56,020 +الاصل ان هاي الالكترون حركته طبيعية من هذه ال بليت + +355 +00:28:56,020 --> 00:28:59,160 +لهذه ال بليت لكن نجله من هال لهال هي اللي بتكون + +356 +00:28:59,160 --> 00:29:02,140 +فيه البكترية بعد ما يصل لهال بصير حركته على طول + +357 +00:29:02,140 --> 00:29:06,760 +سريعة و بالآخر بعد ما يخلص بصير Q و سالب Q في + +358 +00:29:06,760 --> 00:29:12,120 +رسمات تانية بس خليني نضيع وقتنا كتير عليهاأنا عشان + +359 +00:29:12,120 --> 00:29:15,600 +أقول زي ما تقولوا بحط .. بحطلهم رسمات بكونوا عشان + +360 +00:29:15,600 --> 00:29:17,600 +هم يزداد بس معاكم مثلا + +361 +00:29:41,040 --> 00:29:46,100 +طبعا دعنا نحيل هذه المثالة يا بنار يقول find the + +362 +00:29:46,100 --> 00:29:50,700 +capacitance of a parallel plate capacitor parallel + +363 +00:29:50,700 --> 00:29:55,780 +plate capacitor هذا الكباسيتر هذا كيف أجيب سعته؟ + +364 +00:29:55,780 --> 00:30:01,820 +قال هي قانونه ايش C بيساوي Q على V طيب انا مديكي Q + +365 +00:30:01,820 --> 00:30:05,860 +ولا مش مديكي Q؟ الـQ مديكي ايه ايه اشغل عليك؟ اجيب + +366 +00:30:05,860 --> 00:30:09,360 +V بدي اجيب V V بين مين ومين هذي اللي قلنا تولي + +367 +00:30:09,360 --> 00:30:13,920 +قيمة Delta دلسة عنها؟بين الـ two plates براو عليكم + +368 +00:30:13,920 --> 00:30:18,140 +حلو ايه كيف بتجيب V؟ قولتله بجيب V اما من قانون V + +369 +00:30:18,140 --> 00:30:24,280 +بيساوي K تكامل DQ على R او V بيساوي سالب التكامل E + +370 +00:30:24,280 --> 00:30:30,940 +Dot DL ذاكرين؟ من initial ل final هذا او هذا طيب و + +371 +00:30:30,940 --> 00:30:34,480 +نشوف ايش أسهل لنا بيقول if the separation D is + +372 +00:30:34,480 --> 00:30:39,530 +small دائما بيقولك D is very smallD جدا صغير وانت + +373 +00:30:39,530 --> 00:30:43,150 +بدك المجال اللي جوا ما زال D صغير يعني ال two + +374 +00:30:43,150 --> 00:30:46,830 +plates جراب على بعض ولا لأ اي نقطة جوا بتقدر + +375 +00:30:46,830 --> 00:30:52,130 +تعتبرها just outside a conductor صح هجيت انا هاي + +376 +00:30:52,130 --> 00:30:56,750 +plate و هاي plate هادي conductor و هادي conductor + +377 +00:30:56,750 --> 00:31:00,410 +بدي شوية شدت المجال جوا و هدول جراب على بعض كتير + +378 +00:31:00,410 --> 00:31:03,750 +اي نقطة جوا بتقدر تعتبرها just outside a conductor + +379 +00:31:04,720 --> 00:31:07,620 +جريبة على الـ Conductor أو ليس جريبة؟ Just Outside + +380 +00:31:07,620 --> 00:31:11,480 +a Conductor و E Just Outside a Conductor توتر لك + +381 +00:31:11,480 --> 00:31:14,540 +Sigma على Epsilon Note Sigma على Epsilon Note يعني + +382 +00:31:14,540 --> 00:31:19,360 +ثابت، مظبوط؟ ثابت، إذا روحنا قبل الصبح بره هذا + +383 +00:31:19,360 --> 00:31:24,620 +الشيء دي من 1 ل A من A ل B، هل هي المسافة دي و لا + +384 +00:31:24,620 --> 00:31:31,530 +مش المسافة دي؟ المسافة دي، إذا نخلص نتيجتيإذا + +385 +00:31:31,530 --> 00:31:35,610 +بنقول ارجع if D is small compared to the size of + +386 +00:31:35,610 --> 00:31:38,370 +the blades, we can assume that any point inside + +387 +00:31:38,370 --> 00:31:41,410 +the conductor is very close to a conductor يعني + +388 +00:31:41,410 --> 00:31:44,450 +just outside a conductor إذا المعناته the value of + +389 +00:31:44,450 --> 00:31:46,230 +the electric field inside the capacitor is + +390 +00:31:46,230 --> 00:31:48,870 +therefore uniform and equal to sigma على epsilon + +391 +00:31:48,870 --> 00:31:53,870 +not تمام إذا برجع بقوله V سواء تكامل من A لB E dot + +392 +00:31:53,870 --> 00:31:58,790 +DL بتسوي E طلعتها برا و من A لB هي D و E sigma على + +393 +00:31:58,790 --> 00:32:05,310 +epsilon not و بجي ال sigma إيش حطيتQ Q على A V + +394 +00:32:05,310 --> 00:32:09,630 +البداكية هيجبتها عوض إذاها C بيتساوى Q على V + +395 +00:32:09,630 --> 00:32:13,350 +أعملنا طلعت هيك و أيام ما كنا بقول في السنة الأولى + +396 +00:32:13,350 --> 00:32:18,030 +إذا كنتوا ذاكرين إن الـC لا تعتمد لا على Q ولا على + +397 +00:32:18,030 --> 00:32:23,350 +V إذا ذاكرين C بيتساوى Y not A على D تتناسب ترضيا + +398 +00:32:23,350 --> 00:32:27,630 +مع A وعكسيا مع D واحد بيقول طب و القانون هذا؟ + +399 +00:32:27,630 --> 00:32:32,240 +بقوله هذا مالويش دعوة بـC هذا بربط Q مع Vإن Q + +400 +00:32:32,240 --> 00:32:37,240 +تتناسب مع Z طرضيا وثابت التناسب هو C إذاً C يعتمد + +401 +00:32:37,240 --> 00:32:40,800 +على التركيبة الهندسية للكباسيتر عشان كده أي + +402 +00:32:40,800 --> 00:32:44,540 +كباسيتر في المعمل عندنا بيكون مكتوب عليه جدس سحته + +403 +00:32:44,540 --> 00:32:48,520 +ومرمي على الطاولة لهو مشحون ولهو موجود ببطارية + +404 +00:32:48,520 --> 00:32:53,080 +ليش؟ لأنه بيعتمد على تركيبته والتركيبة معروفة إذاً + +405 +00:32:53,080 --> 00:32:58,220 +C بيساوي E A على D مساحته مسافته الوسط العزل اللي + +406 +00:32:58,220 --> 00:33:02,770 +بين ال two conductorsتمة، هذا أول مثال، كمان مثال + +407 +00:33:02,770 --> 00:33:07,610 +بيقول find the capacitance of two concentric metal + +408 +00:33:07,610 --> 00:33:10,630 +shells metal shells يعني الـ shell عبارة عن + +409 +00:33:10,630 --> 00:33:16,610 +كوندكتر او فريديا لهم الأحمر انحاس والأزج انحاس + +410 +00:33:16,610 --> 00:33:23,110 +زيه من إيه هيك؟ شحانته واحدة Q وواحدة سلبي Q زي ما + +411 +00:33:23,110 --> 00:33:26,410 +بدك تمة، بدي ساعة، بقول له هاي قانوني لأسمر هداك + +412 +00:33:27,380 --> 00:33:31,300 +الـ Q عطيتها ولا ما عطيتهاش؟ ايش بدك V؟ V بين من و + +413 +00:33:31,300 --> 00:33:37,140 +مين؟ بدي من هنا إلى هنا صح ولا لأ؟ بدي من هنا إلى + +414 +00:33:37,140 --> 00:33:43,650 +هنا طيب كيف اجيبه؟ بنفع اطبق عليه قانون Gaussمشاكل + +415 +00:33:43,650 --> 00:33:45,790 +الكراوي ولا مشاكل الكراوي؟ ليش خايفين؟ مشاكل + +416 +00:33:45,790 --> 00:33:51,010 +الكراوي ولا لا؟ الكراوي تفكروش على طول اه مش + +417 +00:33:51,010 --> 00:33:54,630 +هيقولنا الكراوي كل الأشكال الكراوية أنطبق عليها + +418 +00:33:54,630 --> 00:33:59,470 +قانون جاوس كلها طيب بدك شدة المجال في نقطة in + +419 +00:33:59,470 --> 00:34:04,410 +between ايه نقطة in between؟ يالا هاي سطح جاوس؟ + +420 +00:34:04,410 --> 00:34:11,990 +قرى ولا لا؟اعتبر نص خطره small r فبقول تكامل + +421 +00:34:11,990 --> 00:34:19,690 +المغلق ل E ضد الـDS سواء Q enclosed على Y0 طبعا + +422 +00:34:19,690 --> 00:34:23,450 +انا هتطبق قضون جوز صح اذا E constant طالعها برا + +423 +00:34:23,450 --> 00:34:27,770 +التكامل اضد ال product بروح تكامل الـDS هي أربعة + +424 +00:34:27,770 --> 00:34:33,210 +by R تربيع نور كذلك في Q inside سطح جوز + +425 +00:34:36,480 --> 00:34:41,380 +فيش غيرها تمام بتساوي Q على إبسل نوت طلعي جواب ولا + +426 +00:34:41,380 --> 00:34:46,780 +لأ؟ الـ Q على أربعة باى إبسل نوت أرثر بيبدكيها ك + +427 +00:34:46,780 --> 00:34:53,340 +vector ما ده هو طب دلك تبتطلع على اللوح بدي نقطة + +428 +00:34:53,340 --> 00:34:59,160 +برا خالص تخيلينك سطح جاوس خارج و جيبيني الـ Q in + +429 +00:34:59,160 --> 00:35:08,380 +Zero Zero و جوا جوا جوا خالص هنا يعنيزيرو زرار + +430 +00:35:08,380 --> 00:35:13,020 +الكباسيتر هذا كان موجب ثالث يقول هنا زيرو وهنا + +431 +00:35:13,020 --> 00:35:18,820 +زيرو وهنا فيهصح؟ إذا دايما بين طرفي الكباسيتر + +432 +00:35:18,820 --> 00:35:22,360 +مايكونش فيه مجال المجال محصر وين؟ جوا الكباسيتر + +433 +00:35:22,360 --> 00:35:25,180 +between the blades of the capacitor هنا between + +434 +00:35:25,180 --> 00:35:28,540 +the blades of the capacitor هنا .. هنا بس فيه مجال + +435 +00:35:28,540 --> 00:35:33,340 +هنا مافيش مجال و هنا مافيش مجال هى إيه؟ حلو إذا + +436 +00:35:33,340 --> 00:35:37,580 +جمري فرق الجهود بنرجع للقانون هذا اللي حكينا عنه + +437 +00:35:41,100 --> 00:35:45,500 +لإيجاد قيمة مثل هذه القيمة، علينا تخطيط الفرق + +438 +00:35:45,500 --> 00:35:49,000 +الممكن أن يكون بين الاثنين الخزانات وبالتالي هايفي + +439 +00:35:49,000 --> 00:35:53,680 +هادي E هي الـelectric field بين A وB وجبتها من + +440 +00:35:53,680 --> 00:35:58,180 +قانون جاوس هيها انا وياكم وطلعناها E بسوء capital + +441 +00:35:58,180 --> 00:36:01,060 +Q على أربع باقي وانا عملتها عدة مرات عشان كده + +442 +00:36:01,060 --> 00:36:05,100 +شحتها شحتها و كإنني بس هينعملناها على اللغة تمام + +443 +00:36:05,100 --> 00:36:10,460 +جالي الأهدطبعا تنسوش أن هذه المفروضة أصلا تكون DL + +444 +00:36:10,460 --> 00:36:14,800 +صح؟ بس حوّرتها لـDR مباشرة لأنه dot product كلنا + +445 +00:36:14,800 --> 00:36:19,680 +بنعرفها فDR على R تربيه تكملها سالب واحد على R + +446 +00:36:19,680 --> 00:36:24,400 +فطلعنا سالب واحد على R وطلعنا النتيجة هي V قللي + +447 +00:36:24,400 --> 00:36:28,920 +ارجع عوّد Q على V الـQ هذه مع الـQ هذه كيف تروح + +448 +00:36:28,920 --> 00:36:33,480 +فهي C وطلعوا C عشرة تعتمد برضه على أنصاف الأقطار + +449 +00:36:33,480 --> 00:36:40,070 +وإبسلون نوت صح ولا لأ؟ تمامإذا لو كان عندى two + +450 +00:36:40,070 --> 00:36:48,610 +plates هى C تبعتها و E أعلى D هى D و لو كان كرة هى + +451 +00:36:48,610 --> 00:36:54,490 +نتيجته بس أخر حاجة لو هدى D هدى plate و هدى plate + +452 +00:36:54,490 --> 00:36:57,430 +هدى ال plate متحطة فى الملأ نهاية جديش الساعة + +453 +00:36:57,430 --> 00:37:04,430 +عوضوا هنا ليش لأن دى ملأ نهاية حلو ال plate الزرقى + +454 +00:37:04,430 --> 00:37:10,370 +هدى متحطة فى الملأ نهاية جديش الساعةبتجروش هيك + +455 +00:37:10,370 --> 00:37:15,650 +اعملوه عوضه حطوا بديل بيه ماله نهاية بطلع عندكم + +456 +00:37:15,650 --> 00:37:22,250 +بيه ماله نهاية على ماله نهاية بنفعش هايش يسوي و + +457 +00:37:22,250 --> 00:37:28,790 +احنا علمناكم ال limit بس هيك شكلها عايش بتجسم على + +458 +00:37:28,790 --> 00:37:34,090 +بيه لما جسم على بيه هادي بتروح و بيه على بيهأي على + +459 +00:37:34,090 --> 00:37:39,170 +بي صفر إذا الجواب أربعة باي أبسل نوت في إيه؟ إذا + +460 +00:37:39,170 --> 00:37:43,910 +ثيسعة إذا معناته ال conductor الكرة لحالها ممكن + +461 +00:37:43,910 --> 00:37:47,110 +نعتبرها capacitor طيب و أنت بتقول ال capacitor two + +462 +00:37:47,110 --> 00:37:49,290 +conductors بيقول و مين جالك فيه two conductors؟ + +463 +00:37:49,290 --> 00:37:54,330 +التاني و الرايح بالنهاية إذا كل كرة capacitor + +464 +00:37:54,330 --> 00:37:58,230 +ساعتها بيسوء أربعة باي أبسل نوت في إيه؟ و أربعة + +465 +00:37:58,230 --> 00:38:01,730 +باي أبسل نوت ثابت إذا بيسوء نص القطر في ثابت معين + +466 +00:38:01,730 --> 00:38:02,910 +تمام؟ + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/RC8-CXjpLXA.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/RC8-CXjpLXA.srt new file mode 100644 index 0000000000000000000000000000000000000000..dba6b9220b4f7c1baceebdd64ffe3f48328388de --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/RC8-CXjpLXA.srt @@ -0,0 +1,1319 @@ + +1 +00:00:22,700 --> 00:00:27,760 +خلّينا نبدأ من قانون أمبير نفسه ونشوف من أين + +2 +00:00:27,760 --> 00:00:31,600 +اشتقناه. احنا اشتقينا قانون أمبير من هذه العلاقة + +3 +00:00:31,600 --> 00:00:36,660 +أن الـ curl تبع الـB يساوي ميو نوت في الـJ هذه + +4 +00:00:36,660 --> 00:00:44,060 +العلاقة عادي، كل شيء حقيقي، بي و جي وكل شيء تمام تمام. + +5 +00:00:44,060 --> 00:00:56,780 +ليش هذا؟ أعتقد أيه؟الـ A's ومعظمهم بيعملوه + +6 +00:00:56,780 --> 00:01:01,220 +كمان إذا + +7 +00:01:01,220 --> 00:01:07,760 +الـ curl of B is equal to ميو نوت في الـJ + +8 +00:01:10,670 --> 00:01:13,990 +الآن أنا بدي استخدم نظرية رياضية اللي سميتها + +9 +00:01:13,990 --> 00:01:17,670 +Stokes' theorem. الـ Stokes' theorem مش بتقول، بيقول + +10 +00:01:17,670 --> 00:01:24,190 +كامل الطرفين المعادلة بالنسبة لسطح هذا حسب + +11 +00:01:24,190 --> 00:01:30,810 +Stokes' theorem بيقول أن الـ surface integral بتحول لـ + +12 +00:01:30,810 --> 00:01:35,490 +line integral، صح ولا لأ؟ هلّأ الـ line integral + +13 +00:01:35,490 --> 00:01:40,030 +شغلة رياضية، إذا هذا الـ line اللي أنت بتعمله + +14 +00:01:40,030 --> 00:01:45,650 +رياضيات، ماهو حقيقي، بي. بي. بي dot الـDL، وهدي لازم + +15 +00:01:45,650 --> 00:01:51,630 +يكون مغلق فقط. الحقيقي أن الـDL هادي بتحوط الـ + +16 +00:01:51,630 --> 00:01:57,270 +surface، بتحوط الـsurface تمام. طبعاً دوت cross الـB + +17 +00:01:57,270 --> 00:02:02,420 +بتساوي ميو نوت وكملة الـJ، يعني كثافة التيار + +18 +00:02:02,420 --> 00:02:05,820 +فصارت هذه العلاقة، لما بدي أقعد يعني أشرح هذه + +19 +00:02:05,820 --> 00:02:11,700 +العلاقة، بقول التكامل المغلق على أي مسار مغلق + +20 +00:02:11,700 --> 00:02:17,160 +التكامل على أي مسار مغلق. كلمة على أي مسار مغلق صار + +21 +00:02:17,160 --> 00:02:23,380 +أنت بتتكلم عن مسار عشوائي، مش حقيقي، مسار عشوائي. + +22 +00:02:24,160 --> 00:02:31,020 +يساوي ميو نوت في I enclosed، هذا التيار الحقيقي اللي اخترق حسب + +23 +00:02:31,020 --> 00:02:38,280 +النظرية، المساحة اللي حوطتها L، لأن الـ theorem بتقول + +24 +00:02:38,280 --> 00:02:44,460 +الـS و الـ L بينهم علاقة، هادي محطوطة، هادي، هادي اللي داخل + +25 +00:02:44,460 --> 00:02:49,420 +هادي، فصار كيف بتتعامل؟ قلنا، خذ أي مسار مغلق، أي + +26 +00:02:49,420 --> 00:02:54,800 +مسار مغلق، شوف التيار اللي بيمر في المساحة، واتفقنا + +27 +00:02:54,800 --> 00:02:59,960 +اتنين من أي مسار مغلق، وهي مسار مغلق، وهي مسار مغلق + +28 +00:02:59,960 --> 00:03:07,280 +وهي مسار مغلق، وهي مسار مغلق، وكلهم جواهم مساحات، ولا + +29 +00:03:07,280 --> 00:03:12,280 +لا؟ كلهم جواهم مساحات، والمساحات المتكونة في الطلع + +30 +00:03:12,280 --> 00:03:16,500 +عليها بيخترقها تيار ولا بيخترقهاش تيار؟ بدك تحسب + +31 +00:03:16,500 --> 00:03:21,670 +لاختراق التيار، وتعوض هنا، بيطلع النتيجة، هلّأ + +32 +00:03:21,670 --> 00:03:27,130 +التكامل، أنا بدي أحسب B، ما بنفعش أحسب B اللي إذا طلعت + +33 +00:03:27,130 --> 00:03:32,770 +برا، صح ولا لأ؟ بما أنه أنت بتقول لي أي مسار مغلق، و + +34 +00:03:32,770 --> 00:03:35,430 +ليش آخذ هذا، وأغلب الحالات اللي هيغلبني فيها شعبات + +35 +00:03:35,430 --> 00:03:41,610 +كتيرة، بدي آخذ أنا مسار مغلق، B تكون ثابتة عليه + +36 +00:03:41,610 --> 00:03:44,910 +لأن أنا بكامل على الـ DL، إذا طول ما أنت ماشي على الـ L + +37 +00:03:44,910 --> 00:03:49,930 +B ثابتة، بتطلع برا التكامل. إذا بدك تطلع B، بتجيب + +38 +00:03:49,930 --> 00:03:57,430 +B، فبالتالي قلنا أن I enclosed is the total + +39 +00:03:57,430 --> 00:04:00,830 +current crossing the surface enclosed by the + +40 +00:04:00,830 --> 00:04:04,710 +closed loop. الـ closed loop عشوائية، أنت بتختارها، بس + +41 +00:04:04,710 --> 00:04:10,310 +كون أنا أخدت اختيار، وأختار اللي سهل شغلي، مظبوط + +42 +00:04:10,310 --> 00:04:14,850 +ولا لأ؟ تمام، إذا Ampere's law بيقول لي زي ما + +43 +00:04:14,850 --> 00:04:17,770 +عملت Ampere's law، عشان كده بيقول اللي بفهم Ampere's سهل + +44 +00:04:17,770 --> 00:04:22,090 +عليه التعامل معها. Ampere's law، a law + +45 +00:04:22,090 --> 00:04:24,950 +is always true for any closed surface, but it is not + +46 +00:04:24,950 --> 00:04:29,410 +always useful. كلّها دائماً صحيحة لأي سطح مغلق لكن لا + +47 +00:04:29,410 --> 00:04:34,570 +تستطيع تحسب به دائماً، لأنه لا تستطيع دائماً تطلع الـ + +48 +00:04:34,570 --> 00:04:38,430 +B برا التكامل، إذا it is not always useful، لكن + +49 +00:04:38,430 --> 00:04:43,450 +القانون كقانون بتحطه، صح، مسار مغلق، لا هذا ولا + +50 +00:04:43,450 --> 00:04:47,230 +هذا ولا هذا ولا هذا، كلّه صح، بحط القانون، بس بعد + +51 +00:04:47,230 --> 00:04:52,110 +كذا بدي B، ما بتعرف، ما بتقدر تطلعها من هذا، لأنه هذا + +52 +00:04:52,110 --> 00:04:55,570 +تكامل، أنت كده بده يكون عندك أطلع B، و بده يكون عندك أكامل + +53 +00:04:55,570 --> 00:05:00,450 +عليها في الأول وأنا ما بعرفها؟ بقى بقدر أعمل هذه + +54 +00:05:00,450 --> 00:05:03,050 +الكلام إذا كانت طلعتها برا التكامل، وعشان طلعتها برا + +55 +00:05:03,050 --> 00:05:06,750 +التكامل، بذاك تضمن أنها تكون ثابتة، تمام؟ إذا + +56 +00:05:06,750 --> 00:05:11,530 +بيقول لي only وقت ما بتكون useful only when the + +57 +00:05:11,530 --> 00:05:14,650 +symmetry of the problem، إذا تناظر الـ problem اللي + +58 +00:05:14,650 --> 00:05:21,110 +بتعامل معها enables you، تقدر تخليك، pull the B out + +59 +00:05:21,110 --> 00:05:23,870 +of the integral، بتطلع لي B out of that integral، و + +60 +00:05:23,870 --> 00:05:26,750 +أنا وقت ما بقدر أطلع B out لما يكون إيه؟ لما يكون + +61 +00:05:26,750 --> 00:05:31,800 +ثابتة، تمام؟ إذا قمت بعمل هذا، يمكنك استخدام + +62 +00:05:31,800 --> 00:05:37,240 +باستخدام أمبير، إلا أنك لا تستطيع استخدامها في حالات + +63 +00:05:37,240 --> 00:05:41,800 +اللي ممكن أجد هذه الطريقة مفيدة هي الـ current + +64 +00:05:41,800 --> 00:05:46,280 +configurations that can be handled by Ampere's law are + +65 +00:05:46,280 --> 00:05:51,050 +أربع حلقات، ليس خمسة. والباقي الحالات اللي تستطيع + +66 +00:05:51,050 --> 00:05:56,490 +مهما اخترعت سطح مغلق، أن يكون B ثابت عليه، إيش هما؟ + +67 +00:05:56,490 --> 00:05:59,710 +نقول لك infinite straight lines، نجيبها، وعدا نفحص + +68 +00:05:59,710 --> 00:06:04,230 +احنا وياكم infinite solenoids، الـ solenoid الملف + +69 +00:06:04,230 --> 00:06:08,810 +الحلزوني، و الـ toroids، و الـ infinite planes، هدول + +70 +00:06:08,810 --> 00:06:14,930 +الحالات الأربع هم اللي تستطيع أنت تجيبهم، تمام؟ + +71 +00:06:14,930 --> 00:06:19,990 +Find the magnetic field a distance S from a long + +72 +00:06:19,990 --> 00:06:24,190 +straight wire carrying a current I. هاي السلك هذا، + +73 +00:06:24,190 --> 00:06:28,810 +سلك، خمير شوية، بيقول أو أوجد شدة المجال برا وجوا + +74 +00:06:28,810 --> 00:06:33,730 +طبعاً لما نيجي نرجع للصورة اللي توقعنا نتحدث، بدي خطوط + +75 +00:06:33,730 --> 00:06:37,810 +المجال لهذا السلك، خطوط المجال، هاي السلك ده، السلك + +76 +00:06:37,810 --> 00:06:41,470 +الأحمر هذا كله تيار، وين بيمشي وبيروح؟ + +77 +00:06:48,000 --> 00:06:55,900 +وين in؟ انتبهي، انتبهي، اعمليه، اتسمى شوية، باهمشي، + +78 +00:06:55,900 --> 00:06:59,460 +اتحمليني، هاي هاد، وين فوق، فوق هيك، وين هاد، + +79 +00:06:59,460 --> 00:07:03,160 +بيكون in ولا out؟ هيك، أنت بقى صبّعي، طيب، لف فيها + +80 +00:07:03,160 --> 00:07:10,240 +كاملة. آه، ما تعمليش زي ما تعمل... اعمليها هيها، ما تتخمروش + +81 +00:07:10,240 --> 00:07:14,420 +حالكم يعني، طوعوا إيديكم، هيها ههه، صارت هي... هي إيه؟ + +82 +00:07:14,420 --> 00:07:19,300 +بتكون جاية عليا ولا لأ؟ وهنا ههه، ما عاملة... برجّحها + +83 +00:07:19,300 --> 00:07:23,660 +زي أول، برجّحها زي أول، تمام؟ هيها إذا هيها عندك + +84 +00:07:23,660 --> 00:07:29,180 +بتدخل على عينيك أوي، تمام؟ طيب، بدها عند كل النقاط + +85 +00:07:29,180 --> 00:07:33,830 +إيش بتعمل؟ مش بتعمل دوائر؟ بتعمل دوائر، صح؟ طول ما + +86 +00:07:33,830 --> 00:07:38,050 +أنت ماشي على الدائرة هذه، B ثابتة ولا مش ثابتة؟ + +87 +00:07:38,050 --> 00:07:42,350 +constant B، إذا لو اخترت أنا مسار مغلق، مع عصبي + +88 +00:07:42,350 --> 00:07:45,850 +إيه؟ لأن هي عمودية مع R، و R constant، لأ، مالهاش + +89 +00:07:45,850 --> 00:07:50,980 +دعوة، هي عمودية على R، لكن عشان R ثابتة، هي + +90 +00:07:50,980 --> 00:07:55,580 +ثابتة، مالهاش دعوة بالعمودي ويا إيش؟ لأنه أنا B من + +91 +00:07:55,580 --> 00:07:59,140 +مصدره التيار، و بيو سافار قال لي كل ما بعدت عن + +92 +00:07:59,140 --> 00:08:03,580 +التيار بيقل المجال، وكل ما قربت بيزيد المجال + +93 +00:08:03,580 --> 00:08:06,960 +مظبوط ولا لأ؟ بالإضافة إلى كل ما زودت التيار برضه + +94 +00:08:06,960 --> 00:08:10,540 +بيزيد. أنا هالسلك لا مزود تيار ولا مزود طوله + +95 +00:08:10,540 --> 00:08:13,520 +بدي أشوف المسافة، طول ما أنا ماشي هيك، R ثابتة ولا + +96 +00:08:13,520 --> 00:08:18,570 +مش ثابتة؟ إذا B ثابتة، ثابتة. إذا في عندي حالة أن + +97 +00:08:18,570 --> 00:08:21,350 +تكون B ثابتة عشان أطلعها برا التكامل. هكذا أنا ببدأ + +98 +00:08:21,350 --> 00:08:23,070 +أرجع أكتب قانون أمبير هنا + +99 +00:08:30,590 --> 00:08:34,430 +أنا أهم حاجة بدي أتأكد هل بإمكاني أطلع B ولا لأ + +100 +00:08:34,430 --> 00:08:39,230 +بقول له آه بإمكانك إذا خليت مسار دائري. لكن اطلع يا + +101 +00:08:39,230 --> 00:08:42,970 +نور، بدي آخذ المسار هذا برضه حلو، يالله ولا مافيش + +102 +00:08:42,970 --> 00:08:45,850 +فيه شيء حلو، مافيش أحلى منه التاني، يعني هذا حلو + +103 +00:08:45,850 --> 00:08:49,390 +مظبوط، وهذا... هذا متساوي بالنسبية، فهذا حلو، لكن + +104 +00:08:49,390 --> 00:08:54,410 +بقدر آخذه، وبقول له تعال شوف، هي ضلع، صح؟ هلّأ أنا هنا + +105 +00:08:54,410 --> 00:08:58,950 +وأنا هنا على نفس البعد من السلك، نور + +106 +00:09:00,940 --> 00:09:06,600 +أنا هاي ضلع، هاي تيار، هاي ضلع، هلّأ أنا هنا، وصلت + +107 +00:09:06,600 --> 00:09:11,460 +هنا، جربت هنا، إذا هالمجال وأنا ماشي على خط + +108 +00:09:11,460 --> 00:09:17,760 +ضلع ثابت، ما بقدرش أطلعه برا، نفس العملية هيك، مش + +109 +00:09:17,760 --> 00:09:22,480 +هاد الضلع كمان، هنا أبعد منها لما يكون قبالها، إذا + +110 +00:09:22,480 --> 00:09:26,460 +B ثابتة، إذا هذا المسار بينفع، وهذا المسار + +111 +00:09:27,130 --> 00:09:31,110 +أسوأ، ما ضلّ عندك المسار هذا، المسار هذا دائري، طول ما + +112 +00:09:31,110 --> 00:09:35,590 +أنت ماشي على بعد متساوي من السلك، إذا B is constant + +113 +00:09:35,590 --> 00:09:43,510 +تمام؟ إذا أنسب... أنسب loop هي الـ loop الدائرية، هي + +114 +00:09:43,510 --> 00:09:47,790 +الـ loop الدائرية، وأصلاً الواحد لما بده يجي، إذا + +115 +00:09:47,790 --> 00:09:51,110 +فهمتها نور، وبدأ التعامل معها، بيقول كيف خطوط المجال + +116 +00:09:51,110 --> 00:09:55,110 +بتسوّي؟ بتسوّي دوائر، إذا دائرة حوالي السلك، مظبوط + +117 +00:09:55,110 --> 00:09:56,090 +ولا لأ؟ تمام + +118 +00:10:00,890 --> 00:10:06,230 +هذا الـ loop اللي اخترته أنا عشوائي، لأنه بده شدة + +119 +00:10:06,230 --> 00:10:09,350 +المجال المغناطيسي الـ outside عند النقطة هذه، وهذه + +120 +00:10:09,350 --> 00:10:11,510 +النقطة، B على طول، قلت عند النقطة هذه، بدي أعمل + +121 +00:10:11,510 --> 00:10:15,750 +دائرة مغلقة، لحظة أن النقطة تكون على المحيط، تم؟ + +122 +00:10:15,750 --> 00:10:23,690 +جاء لي الآن هذا DL هو مجموع هذول كلهم هنا وهنا و + +123 +00:10:23,690 --> 00:10:29,460 +هنا وهنا، صحيح ولا لأ؟ بتطلع B، هلّأ دي الـ DL هم نفسهم + +124 +00:10:29,460 --> 00:10:32,980 +اتجاه الـ B ولا لأ؟ آه، يعني الـ dot product بتروح + +125 +00:10:32,980 --> 00:10:39,330 +الزاوية zero، cosine zero، one، إذا بيقول لي بالسيمترية + +126 +00:10:39,330 --> 00:10:44,890 +نرى أن الـ B يجب أن يكون متساوياً في المجموعات ومتعامداً + +127 +00:10:44,890 --> 00:10:48,010 +لللوب، اللي هو اللوب، خذتها المصامع، صبيعات الأربع، و + +128 +00:10:48,010 --> 00:10:51,630 +الصبيعات الأربع هم اتجاه الـ B، إذا اللوب والـ B + +129 +00:10:51,630 --> 00:10:56,350 +متوازيين، ومازالوا برا، راحت الـ dot product، قال إذا + +130 +00:10:56,350 --> 00:11:03,350 +طلع الـ B برا، والـ dot product راحت، إيش تكامل DL؟ + +131 +00:11:04,200 --> 00:11:08,160 +طول اللوب اللي اخترتها، الـ loop اللي اخترتها هي + +132 +00:11:08,160 --> 00:11:13,900 +السوداء هذه، هل طولها محيطها ولا مش محيطها؟ محيطها، + +133 +00:11:13,900 --> 00:11:17,340 +دا الـ I enclosed، قلت لي، شو عرفتي اللي I enclosed؟ + +134 +00:11:17,340 --> 00:11:21,860 +قلت لك، التيار الذي يخترق المساحة اللي حددتها + +135 +00:11:21,860 --> 00:11:25,780 +اللوب، المساحة اللي حددتها اللوب هي الصفراء، مظبوط + +136 +00:11:25,780 --> 00:11:29,200 +ولا لأ؟ بنطلّع على المساحة الصفراء، قولوا لي، في حدّ بيشك + +137 +00:11:29,200 --> 00:11:34,680 +أنه اخترقها تيار؟ طلع، الأحمر، التيار، أنا حاططهم، هذا + +138 +00:11:34,680 --> 00:11:39,640 +الأحمر، اللي اخترقها، كلّه ولا جزء منه؟ كلّه، إذا أنت + +139 +00:11:39,640 --> 00:11:45,640 +بتحط الـ I هيك، قدرت تجيب B ولا ما قدرت؟ خلاص + +140 +00:11:45,640 --> 00:11:52,020 +خلصنا، هي نفسها which agree with that of example + +141 +00:11:52,020 --> 00:11:56,580 +خمسة، بقيت خمسة، in the limit of long wire، لما جيبنا + +142 +00:11:56,580 --> 00:11:59,020 +الواحد والاثنين وعملنا الـ limit، واتعاملنا معاه + +143 +00:11:59,020 --> 00:12:05,900 +نفس النتيجة، تم. هذا برّا. بدي جوا، أقول له هاي التيارات + +144 +00:12:05,900 --> 00:12:10,260 +رجعنا، هل بنفع اللوب هادي تكون؟ لأ، بدك أنت هادي شدّة + +145 +00:12:10,260 --> 00:12:17,000 +المجال هنا، خذ لوب زي هيك، أوجد، هاي اللوب، كمان مرّة B + +146 +00:12:17,000 --> 00:12:23,920 +is constant، الـ dot product بتروح، طلعت B، وتكامل دي + +147 +00:12:23,920 --> 00:12:29,800 +الاتنين، by 2πS، I enclosed، المساحة الصفراء، كل التيارات + +148 +00:12:29,800 --> 00:12:34,770 +اخترقتها، جزء، قداش هذا الجزء؟ نصف ولا ربع ولا ثلث + +149 +00:12:34,770 --> 00:12:40,350 +ولا عشر ولا قداش؟ حسب مساحة السطح، ولا لأ؟ طب احنا + +150 +00:12:40,350 --> 00:12:45,070 +كنا ناخذ جزء من الشحنات اللي... ومين كنا نروح؟ نروح + +151 +00:12:45,070 --> 00:12:49,310 +للشحنات اللي هي الكثافات، مرة للخطية ومرة للسطحية، و + +152 +00:12:49,310 --> 00:12:52,930 +مرة للحجمية، طب احنا أخذنا شغل زي هيك، أخذنا K، وأخذنا + +153 +00:12:52,930 --> 00:12:57,990 +J، صح ولا؟ قلنا J لما يكون التيار ماشي في حجم، زي + +154 +00:12:57,990 --> 00:13:03,410 +حالتها، K لما يكون التيار ماشي على سطح، صحيح ولا لأ؟ + +155 +00:13:03,410 --> 00:13:06,830 +هنا كيف التيار ماشي؟ جوا اسطوانة، يعني جوا حجم، ولا + +156 +00:13:06,830 --> 00:13:11,130 +مش جوا حجم؟ إذا في J، طيب، واحنا إيش عملنا؟ قلنا + +157 +00:13:11,130 --> 00:13:18,770 +I بتساوي تكامل J ضد الـ dA، أو أخلي J بتساوي I على A + +158 +00:13:18,770 --> 00:13:28,740 +هاي الـ J، إذا هذا total، هذا سيكون total، إذا كان هذا + +159 +00:13:28,740 --> 00:13:35,860 +enclosed، سيكون هذا enclosed، مظبوط، هكذا أم لا؟ تم؟ + +160 +00:13:35,860 --> 00:13:38,540 +لماذا أنا أعمل take؟ لماذا لم أتمشّي مديني الـ J؟ + +161 +00:13:38,540 --> 00:13:42,220 +الـ J ليس معطيات سؤالي، إذا أعطاني الـ I total، سأقول + +162 +00:13:42,220 --> 00:13:46,300 +لك، آه، الـ I total، I، إذا ها، باقي الـ J هذا، حطّ I، + +163 +00:13:46,300 --> 00:13:50,460 +فبقول إيه total؟ كم تيار اخترق السلك كله؟ πR تربيع + +164 +00:13:51,350 --> 00:13:55,670 +دائرياً، المساحة مساحة المقطع، طيب أنت إيش بدك؟ بدي + +165 +00:13:55,670 --> 00:14:00,910 +I enclosed، والله المساحة الصفراء هي الـ I enclosed، إ + +223 +00:18:52,460 --> 00:18:55,900 +الغلطات تبعتهم، وبفهم، وبعرفش اللي ناقص كان موجود + +224 +00:18:55,900 --> 00:19:00,800 +عندكم هذا؟ لأ، محطوط يعني مش ضرورة تكتبوا ورايا + +225 +00:19:00,800 --> 00:19:07,140 +يعني أنتم بس مجرد... بعرفش أنتم إيش بتسووا + +226 +00:19:07,140 --> 00:19:10,520 +ساعتها بتسحبوا صفحة واحدة ولا مش عارف إيش تعملوا + +227 +00:19:11,260 --> 00:19:14,360 +تكتبوا؟ موجود، تكتبوا براحتكم من هناك، مش ضرورة + +228 +00:19:14,360 --> 00:19:19,020 +تصححوه يعني تطلعوا على ال... تجيبوا شيككم، جهودكم + +229 +00:19:19,020 --> 00:19:23,900 +تكتبوا براحتكم، فاتركوا، انتبهوا لي جيدًا، تمام؟ طلعوا + +230 +00:19:23,900 --> 00:19:30,630 +بيقول لي، بيقول لي عندي ورقة، هذه الورقة بدي امرر فيها + +231 +00:19:30,630 --> 00:19:34,990 +تيار، بيقول إيه؟ find the magnetic field of an + +232 +00:19:34,990 --> 00:19:39,310 +infinite uniform surface current + +233 +00:19:39,310 --> 00:19:43,050 +كأنه اتجاه الـ X، هذه هنا فيه بيمر تيار، ورقة رقيقة + +234 +00:19:43,050 --> 00:19:48,010 +بيمر هيك التيار، هذه بدي اعتبرها الـ X axis، تمام؟ بدي + +235 +00:19:48,010 --> 00:19:52,040 +المجال هنا وهنا، المجال هنا وهنا، طبعًا هذه ما لا + +236 +00:19:52,040 --> 00:19:55,160 +نهاية أصلًا، وهذه ما لا نهاية، ما فيش لا هنا ولا هنا + +237 +00:19:55,160 --> 00:19:58,820 +ولا هنا ولا هنا، ما فيش لا فوق ولا تحت، بدي خطوط + +238 +00:19:58,820 --> 00:20:02,820 +المجال هنا، وخطوط المجال هنا، الآن بدي ارجع لك يا + +239 +00:20:02,820 --> 00:20:09,360 +نور، المجال هيك بيمشي، يعني إبهامك هيك، كيف خطوط + +240 +00:20:09,360 --> 00:20:15,260 +المجال؟ أيوة، اعمليه، كيف هالصبع بروحه فوق وتحت بظبط + +241 +00:20:15,260 --> 00:20:17,980 +هذا فوق، هيك تحت + +242 +00:20:20,830 --> 00:20:25,750 +تمام، هي صابعك الأربعة، هجيت على الرسمة، خط المجال + +243 +00:20:25,750 --> 00:20:32,370 +فوق كيف بتكون؟ صح؟ + +244 +00:20:32,370 --> 00:20:38,750 +هذا باتجاهكم، هذا باتجاهكم، باتجاه السالب Y تحت + +245 +00:20:38,750 --> 00:20:45,270 +باتجاه الـ Y، صح ولا لأ؟ إذا خط المجال باتجاه السالب + +246 +00:20:45,270 --> 00:20:47,550 +Y فوق وتحت + +247 +00:20:52,170 --> 00:20:57,630 +الآن هذا infinite، بتوقع قانون أمبير ينطبق عليه + +248 +00:20:57,630 --> 00:21:02,550 +بدي اختار الـ loop، اختار هذه الحلوة اللي اختارناها + +249 +00:21:02,550 --> 00:21:06,310 +توي بتظبط معايا ولا بتظبطش؟ نشوف... هذه أحلى واحدة + +250 +00:21:06,310 --> 00:21:10,090 +دير بالكم، هذه أحلى واحدة، إذا بتنفع، خيار الأول + +251 +00:21:10,090 --> 00:21:15,170 +مظبوط أو لا؟ نرجع، بدي آخذ loop، أنا هجيت هنا، بدي + +252 +00:21:15,170 --> 00:21:19,590 +آخذ هذه النقطة، بدي آخذ loop، بدي آخذ هذه الـ + +253 +00:21:19,590 --> 00:21:25,230 +loop، أنا ماشي فيها، بجرب ولا ما بجربش على الطيارة هل + +254 +00:21:25,230 --> 00:21:28,930 +الـ B ثابتة؟ لأ، ما نفعكش، هذه الحلوة، مع الأسباب + +255 +00:21:28,930 --> 00:21:34,670 +هيتغير، تمام، طيب، اتسنى شوية، خلينا نأخذ مستطيل + +256 +00:21:34,670 --> 00:21:40,960 +مستطيل في هذه الحالة، طب ما هيك بتجرب وبتبعد، مش + +257 +00:21:40,960 --> 00:21:45,920 +أنا هأضلك بتجرب وبتبعد، لكن مشكلتك وين؟ أنت لما + +258 +00:21:45,920 --> 00:21:49,900 +تجرب وبتبعد هيك، المجال لا هيك، لا هيك، عمودي + +259 +00:21:49,900 --> 00:21:53,560 +عليك، الـ dot product ضاع، التكامل قبل ما تحتاج + +260 +00:21:53,560 --> 00:21:57,600 +تطلع بيه، إذا لما تأخذ أنت الدائرة، أكبر ضلع لها + +261 +00:21:57,600 --> 00:22:01,860 +واحد، المستطيل أربعة، بصير تتعامل مع التكامل، أربعة + +262 +00:22:01,860 --> 00:22:06,450 +تكاملات، كل واحد على حدة، إذا الـ loop دائرة بتظبطش معاه + +263 +00:22:06,450 --> 00:22:11,490 +لازم آخذ مستطيل، فلما آخذ مستطيل، بيقول from the + +264 +00:22:11,490 --> 00:22:13,310 +symmetry of the problem the magnetic field is + +265 +00:22:13,310 --> 00:22:17,350 +directed along the y-axis، لا يمين لا شمال، along the + +266 +00:22:17,350 --> 00:22:21,510 +y-axis، كما حكيناه، it points to the left above and + +267 +00:22:21,510 --> 00:22:26,440 +to the right below، حلو، الآن Now it's choosing a + +268 +00:22:26,440 --> 00:22:29,800 +rectangular loop، الـ loop اللي اخترتها A,B,C,D، مظبوط + +269 +00:22:29,800 --> 00:22:34,120 +أو لا؟ مازال أربعة أضلاع، تكامل هذا قانون، and pair + +270 +00:22:34,120 --> 00:22:39,260 +بدنا نعمل كم تكامل؟ أربعة تكاملات، حلو، هذا هو + +271 +00:22:39,260 --> 00:22:50,160 +نيجي لأول واحد، B و C، B و C، هيك الـ P وهيك الـ L، روح + +272 +00:22:50,160 --> 00:22:51,720 +إذا هذا، روح + +273 +00:22:55,060 --> 00:23:04,760 +طيب، ودي إيه؟ نفس الشيء، صحيح ولا لأ؟ توي قلنا فوق + +274 +00:23:04,760 --> 00:23:11,660 +هذه المجال وهذه L، كده الزاوية بينهم؟ صفر، طب وهيك + +275 +00:23:11,660 --> 00:23:14,920 +هذه L وهذه B؟ برضه صفر + +276 +00:23:19,170 --> 00:23:22,930 +ما أنت قلت فوق هيك وتحت هيك الـ B، طب والـ L ما أنت + +277 +00:23:22,930 --> 00:23:27,610 +لفة واحدة، إذا مرة هيك ومرة هيك، بـ ال و بـ ال + +278 +00:23:27,610 --> 00:23:36,170 +اثنين بـ ال، اثنين بـ ال، تمام؟ حلو، بيقول لي but B is + +279 +00:23:36,170 --> 00:23:42,870 +perpendicular to DL for the sides BC and DA so + +280 +00:23:42,870 --> 00:23:46,790 +these two integrals vanish، ودي بالكم، هدول vanish + +281 +00:23:46,790 --> 00:23:50,710 +ريّحونا كتير، لأن B is not constant، عليهم مش + +282 +00:23:50,710 --> 00:23:54,530 +constant، يعني هنا بقدر أطلع الـ B؟ بيقولوا لأ، الـ B هنا + +283 +00:23:54,530 --> 00:23:59,030 +غير عن الـ B هنا، غير عن الـ B هنا، بقفل لكن رجّحت، خلصت، وقعت + +284 +00:23:59,030 --> 00:24:04,210 +حتى كان مرضاه هو كل مشاكله، تمام، and B is parallel + +285 +00:24:04,210 --> 00:24:09,890 +to DL for the sides A,B and C,D، إذن هذه طلع الـ B + +286 +00:24:09,890 --> 00:24:15,510 +برا، هذه الـ طلع الـ B برا، هذه الـ B ال و B ال، B ال + +287 +00:24:15,510 --> 00:24:21,710 +B ال، هجيب بيانين بيها، هو تشرف الـ loop، أنتِ المنجّم + +288 +00:24:21,710 --> 00:24:25,230 +يزوء منها، هو الـ loop مش المنجّم يزوء منها، مظبوط؟ + +289 +00:24:25,230 --> 00:24:30,490 +طبعًا المنجّم عشانها تحت، حطّتها منجّم، المساحة + +290 +00:24:30,490 --> 00:24:34,570 +اللي بتحددها، مبينة المساحة اللي حددتها، هي المساحة + +291 +00:24:34,570 --> 00:24:43,270 +اللي حددتها، وهي باللون الأزرق، هي المساحة، طبعًا + +292 +00:24:43,270 --> 00:24:50,620 +التيار شايفينه أنتم، كل تيار بيخترقها، لأن هذا + +293 +00:24:50,620 --> 00:24:54,760 +جزء من التيار اخترقها، ولا هذا اخترقها، ولا هذا + +294 +00:24:54,760 --> 00:24:59,460 +اخترقها، مازال أنت بدك جزء وبدك كثافة، صح؟ و + +295 +00:24:59,460 --> 00:25:02,780 +الكثافة ما أنا مديك إياها K؟ دي بالك مش J، أنا + +296 +00:25:02,780 --> 00:25:05,840 +جايلك من أول K، لأن هذا التيار ماشي على سطح، مش + +297 +00:25:05,840 --> 00:25:11,320 +ماشي في أسلاك، ماشي على ورقة، تمام؟ قال لي إذا سهل، طب + +298 +00:25:11,320 --> 00:25:18,770 +كيف أجيب K؟ قال لي I بتساوي K في L، أي الـ L اللي + +299 +00:25:18,770 --> 00:25:24,230 +اتجاهها، طب هل الـ L هذه هي نفس الـ L هذه ولا لأ؟ آه، + +300 +00:25:24,230 --> 00:25:28,190 +هي نفس الـ L، إذا معناته شغلنا خلاصة + +301 +00:25:33,680 --> 00:25:38,460 +إذا بدي الـ I enclosed، قلت K في L، لأنه أنت بدك + +302 +00:25:38,460 --> 00:25:43,360 +اللي قطع بس هذه المنطقة، واحنا قلنا K بتساوي I + +303 +00:25:43,360 --> 00:25:47,480 +على DL، و DL الجزء من الورقة اللي قلت أنا هيك ماشي + +304 +00:25:47,480 --> 00:25:50,240 +إذا بدي هذا الطول فأنا بدي هذا الجزء، بأخذ الجزء + +305 +00:25:50,240 --> 00:25:55,820 +هذا، كيف؟ + +306 +00:25:55,820 --> 00:25:58,940 +طبعًا أنا بدي التيار اللي اخترق، اسم السطوح، هي + +307 +00:25:58,940 --> 00:26:03,580 +نفسها، صحيح ولا لأ؟ طيب، يعني بمعنى آخر، اتطلع يا + +308 +00:26:03,580 --> 00:26:09,560 +يهودا، هذه الـ L هي نفسها هذه الـ L، تمام؟ اتطلع، بقول + +309 +00:26:09,560 --> 00:26:13,800 +له، هذه طلعناها ع التنين، بس أنا حطيت الـ direction + +310 +00:26:13,800 --> 00:26:17,820 +عشان ما أقوله فوق غير عن تحت، إيش بيفرجوا عن بعض؟ + +311 +00:26:17,820 --> 00:26:23,480 +السالب، تمام، هيك السؤال خلص في الكتاب، السؤال خلص + +312 +00:26:23,480 --> 00:26:28,130 +في الكتاب، طبعًا في فيزياء باء، يا نسمة، حتى ما + +313 +00:26:28,130 --> 00:26:32,970 +تتذكريه في فيزياء باء، في سؤال صعب تتذكريه، في سؤال + +314 +00:26:32,970 --> 00:26:40,870 +كان صعب في الكتاب، كاتب في، عندي أنا بورقة، وكاتبها + +315 +00:26:40,870 --> 00:26:45,150 +عبارة عن slip، كلها تيارات، أوجد شدة المجال + +316 +00:26:45,150 --> 00:26:50,470 +المغناطيسي، كيف بدي أجيبه؟ جا لك، حط هنا، جا لك، خذ هل + +317 +00:26:50,470 --> 00:26:57,700 +هذا، بتقدر تعتبره عدد أسلاك لانهائية، حاجات هادي مش + +318 +00:26:57,700 --> 00:27:01,660 +هادر، كله تيار، حطوا 100 سلك طويل هكذا، بتطلع الورقة + +319 +00:27:01,660 --> 00:27:05,700 +هذه ولا لا؟ طيب، كيف نجيب المجال؟ نقول خذ عنصر، + +320 +00:27:05,700 --> 00:27:10,180 +العنصر عبارة عن سلك طويل، صح؟ كامل، المفروض تطلع + +321 +00:27:10,180 --> 00:27:13,820 +نفس النتيجة، صح ولا لا؟ طيب، الحد مش موجود في + +322 +00:27:13,820 --> 00:27:18,820 +الكتاب، كحالة، خلونا نجرب، احنا طلعناها بـ pairs، + +323 +00:27:18,820 --> 00:27:23,700 +بدنا نطلعها بالطريقة هذه، طلعش؟ قولي؟ طبعًا الـ + +324 +00:27:23,700 --> 00:27:26,840 +independent، هذا هو another way to solve the + +325 +00:27:26,840 --> 00:27:32,000 +problem، و مرات كنت أخليها هذه homework، بس يلا + +326 +00:27:32,000 --> 00:27:39,360 +معنا، وجدنا، نشرحها لإنه بتغلب شوية، is to regard the + +327 +00:27:39,360 --> 00:27:45,240 +sheet as a superposition collection of straight + +328 +00:27:45,240 --> 00:27:49,960 +filamentary currents، تيار عبارة عن خطوط رفيعة، تمام + +329 +00:27:49,960 --> 00:27:56,480 +each of magnitude، هجيت نجح؟ بدي آخذ أنا هذا الجزء + +330 +00:27:56,480 --> 00:27:59,900 +هذا + +331 +00:27:59,900 --> 00:28:06,150 +اللي اخترته أنا، عنصر ولا عنصر، عنصر تيار، كل + +332 +00:28:06,150 --> 00:28:09,830 +التيار، وليه جزء من التيار؟ جزء من التيار، هل + +333 +00:28:09,830 --> 00:28:14,590 +التيار، الـ DI بتساوي K في إيش؟ ليه هذا الطول؟ طب هذا + +334 +00:28:14,590 --> 00:28:22,410 +باتجاه إيش؟ الـ Y؟ مش IDY؟ IDY، هاي تيار، قال لي، + +335 +00:28:22,410 --> 00:28:25,410 +طب أنت السلك الطويل لحاله، إيه بتعرف نتيجته؟ + +336 +00:28:25,410 --> 00:28:29,230 +بقوله، آه، اشتغلت وعملتها، والكبيرة السلك الطويل + +337 +00:28:29,230 --> 00:28:36,290 +بتساوي μ₀ I على 2 π S، بدّل هادي، صار الـ DB، لأنه + +338 +00:28:36,290 --> 00:28:40,330 +بطل هو كل السلك، صار جزء من الـ problem، وبدّل هادي + +339 +00:28:40,330 --> 00:28:45,630 +الـ DI والـ S، المسافة بين النقطة والسلك اللي + +340 +00:28:45,630 --> 00:28:52,750 +اخترته، صح ولا لا؟ كما قال لي، هذا هو، إذا بيقول لي + +341 +00:28:55,220 --> 00:28:58,940 +مجرد طريقة أخرى لتحل المشكلة هي أن تنظر إلى + +342 +00:28:58,940 --> 00:29:03,160 +الـ sheet كمعاملة مباشرة من مجموعات عضوية، كلها + +343 +00:29:03,160 --> 00:29:06,920 +بمجموعات صغيرة، دي بتساوي KDY، المجموعات الصغيرة + +344 +00:29:06,920 --> 00:29:11,720 +بسبب واحد من المجموعات التي اخترتها من المجموعات + +345 +00:29:11,720 --> 00:29:11,920 +التي اخترتها من المجموعات التي اخترتها من + +346 +00:29:11,920 --> 00:29:12,480 +المجموعات التي اخترتها من المجموعات التي اخترتها + +347 +00:29:12,480 --> 00:29:13,640 +من المجموعات التي اخترتها من المجموعات التي + +348 +00:29:13,640 --> 00:29:19,260 +اخترتها من المجموعة التي اخترتها من المجموعة التي + +349 +00:29:19,260 --> 00:29:20,300 +اخترتها من المجموعة التي اخترتها من المجموعة التي + +350 +00:29:20,300 --> 00:29:21,500 +اخترتها من المجموعة التي اخترتها من المجموعة التي + +351 +00:29:21,500 --> 00:29:25,580 +اخترتها من، أنا اعتبرته مش هو... قلنا هيك رايحين + +352 +00:29:25,580 --> 00:29:31,740 +عليكم، اعتبرته هدول صح؟ بتأخذ واحد، هي answer هذا + +353 +00:29:31,740 --> 00:29:35,420 +طول ما هو موجود، اعتبرته؟ دي why؟ بدي شدة المجال، أهين عند + +354 +00:29:35,420 --> 00:29:40,160 +نقطة هذه، وين أثباتي؟ هيها؟ اللي أنا بدي منك أنه + +355 +00:29:40,160 --> 00:29:43,900 +ترسم المنصفات، تأكديني أن اتجاه المجال هذا صح ولا + +356 +00:29:43,900 --> 00:29:50,720 +لأ؟ إبهامك وين؟ عليكي، براوة عليكي، أنتِ تنتبهي على + +357 +00:29:50,720 --> 00:29:55,990 +الكافي، ليش؟ إن أنا بدي نصف القطر، نصف القطر لفوق ولا + +358 +00:29:55,990 --> 00:30:01,550 +لتحت ولا مائل؟ هذا نصف القطر، شوفها؟ مائل، إذا + +359 +00:30:01,550 --> 00:30:03,910 +العمودي لازم يكون مائل، عشان يصير عمودي عليه، + +360 +00:30:03,910 --> 00:30:10,070 +مماس، مش هو مماس، لكن لو كانت، لو كانت النقطة هنا، + +361 +00:30:10,070 --> 00:30:15,050 +بيصير هيكليش؟ لأن لو كانت النقطة هنا... هي نصف + +362 +00:30:15,050 --> 00:30:18,410 +القطر، والعمودي عليه هذا هيك، وهي عمودي عليه، لكن + +363 +00:30:18,410 --> 00:30:21,330 +بما أنه نصف القطر وأنا مختار النقطة عشوائية، وأنا + +364 +00:30:21,330 --> 00:30:24,600 +ما آخذ عنصر عشوائي، ما نفعش تأخذ لي عنصر هذا، فاحنا + +365 +00:30:24,600 --> 00:30:27,840 +متفقين، دي عملي، العنصر بيكون عشوائي، فما أخذتش هذا + +366 +00:30:27,840 --> 00:30:30,860 +العنصر، لو أخذت هذا العنصر وأنا ممكن يكون مجالي، + +367 +00:30:30,860 --> 00:30:34,040 +هكذا، أنتِ لاعيش أنا هايش، حطيت هنا في، لأن أصابع + +368 +00:30:34,040 --> 00:30:37,460 +الأربعة بعملوا في، صح ولا لا؟ والـ φ متغير ولا مش + +369 +00:30:37,460 --> 00:30:41,160 +متغير؟ متغير، فأنا حطيته φ، بس إن هذه φ انهي + +370 +00:30:41,160 --> 00:30:46,390 +فيهم، تحت الـ cylindrical coordinates، تمام، بدل دي آي + +371 +00:30:46,390 --> 00:30:53,230 +حطيت K DW، بس جالي، طب بدي أكامل إيه؟ أكامل الـ + +372 +00:30:53,230 --> 00:30:56,130 +φ، ما بنفعش أتضالها الـ φ، بدي أسلوب دي كالكوردنية + +373 +00:30:56,130 --> 00:31:00,070 +أسلوب أصلًا مغلباني، أنا بدي أحط زاوية من عندي، قولي + +374 +00:31:00,070 --> 00:31:04,030 +تخلي الزاوية هذه الـ θ، اتبعنا؟ الـ θ تبعي + +375 +00:31:04,030 --> 00:31:07,410 +بدي أحللها، مش هي... بيتحلل حسب ما اتفقنا ورايا + +376 +00:31:07,410 --> 00:31:11,610 +اتجاهها، بدي أحللها، هذه الاتجاه هذه واحدة، وهذه + +377 +00:31:11,610 --> 00:31:19,850 +واحدة، صح؟ هذه نفس الزاوية، فتتنحل لنفس الزاوية + +378 +00:31:19,850 --> 00:31:28,610 +بقدر أقول هذه dB cos θ وهذه dB sin θ، هذه + +379 +00:31:28,610 --> 00:31:35,270 +باتجاه السالب J وهذه باتجاه السالب Z، صح ولا لأ؟ إذا + +380 +00:31:35,270 --> 00:31:41,390 +ناقص cos θ باتجاه الـ J وناقص sin θ باتجاه الـ K + +381 +00:31:41,390 --> 00:31:46,970 +حلّلها، عشان بدي أكامل، بفعلش الـ φ، وبيضل ثوابت، بدي + +382 +00:31:46,970 --> 00:31:49,130 +أعمل كامل عليهم، صح ولا لأ؟ + +383 +00:31:52,400 --> 00:31:56,540 +Note that the direction of DB is reversed according + +384 +00:31:56,540 --> 00:31:57,220 +to the figure + +385 +00:32:09,470 --> 00:32:13,670 +تمام، it is not the direction of the usual + +386 +00:32:13,670 --> 00:32:16,030 +azimuthal angle، مش فعلي تبع الـ cylindrical + +387 +00 \ No newline at end of file diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/RuIls7KKFBY.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/RuIls7KKFBY.srt new file mode 100644 index 0000000000000000000000000000000000000000..61e12e271c9b98b5819a1fafd5a8705f3e593b91 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/RuIls7KKFBY.srt @@ -0,0 +1,1291 @@ + +1 +00:00:21,870 --> 00:00:25,790 +احنا اتفقنا أن المادة عند التعامل معها + +2 +00:00:25,790 --> 00:00:32,280 +بـ Polarization كانها عبارة عن two kinds of charges + +3 +00:00:32,280 --> 00:00:37,060 +رو و سيجما وبالتالي برجع السؤال زي أي سؤال آخر + +4 +00:00:37,060 --> 00:00:42,260 +وشوفنا كيف أن Gauss's law اللي احنا بنعرفه صار + +5 +00:00:42,260 --> 00:00:50,360 +عبارة عن D.DS بيساوي Q enclosed free تمام طبعاً واضح + +6 +00:00:50,360 --> 00:00:58,870 +أنه احنا الأولاني كان D بيساوي Y فيه في المحل محل D + +7 +00:00:58,870 --> 00:01:03,590 +طيب يلا هي كل تأخيرة وفيها خيرة هي هم اجوا + +8 +00:01:08,920 --> 00:01:14,060 +تمام أو بالتالي القانون تبعنا الجديد E dot DS + +9 +00:01:14,060 --> 00:01:19,020 +بيساوي Q enclosed على Epsilon Note فبدل E في + +10 +00:01:19,020 --> 00:01:24,240 +Epsilon Note حطيت D عندي أنا قانون أخذته عن ال + +11 +00:01:24,240 --> 00:01:28,340 +energy stored in a charge system وقلنا أن ال + +12 +00:01:28,340 --> 00:01:33,040 +energy عبارة عن إما VDQ + +13 +00:01:33,810 --> 00:01:42,970 +أو يسمى نقطة على اتنين أ تربيع دي تاو اتنين + +14 +00:01:43,760 --> 00:01:47,560 +واتفقنا دي تاو في هذا القانون هو الـ Total Space + +15 +00:01:47,560 --> 00:01:54,160 +All The Space هذا إما Lambda DL أو Sigma DA أو رو + +16 +00:01:54,160 --> 00:01:58,100 +دي تاو طبعاً لو أنا هذا صار رو دي تاو دي تاو هو ال + +17 +00:01:58,100 --> 00:02:03,560 +volume اللي تبقى ال charge هاي اللي بيفرق طيب لو + +18 +00:02:03,560 --> 00:02:05,940 +يجي واحد من الحاجات المنطق بيقولي طب أنا في .. + +19 +00:02:05,940 --> 00:02:10,840 +أنا إيش بدي أسوي؟ بدي أقول كل E أحط محلها D بتظبط + +20 +00:02:10,840 --> 00:02:15,070 +معايا يعني إذا أصبح هذه D تربيع، بيقولوا لأ مش شكله + +21 +00:02:15,070 --> 00:02:17,710 +أمور خلينا نرجع، احنا من أين طلع مننا القانون؟ من + +22 +00:02:17,710 --> 00:02:21,130 +هذا هذا القانون دائماً صحيح، هذا من أين اجا؟ + +23 +00:02:21,130 --> 00:02:25,010 +بيقولي الشغل إيش هي الطاقة؟ هو الشغل اللازم عشان + +24 +00:02:25,010 --> 00:02:29,290 +أنقل شحنة من .. بين فرقين جهود، نظبط أو لا أو من + +25 +00:02:29,290 --> 00:02:33,370 +نهاية، إذا هذا دائماً صحيح، بدي أشتق علاقة الآن + +26 +00:02:33,370 --> 00:02:36,890 +فيما لو عندي أنا ضايق الكلك، إيش بده يصير .. هذا + +27 +00:02:36,890 --> 00:02:40,810 +القانون إيش بده يصير عليه تغيير؟ تمام إذاً it is + +28 +00:02:40,810 --> 00:02:47,090 +known that الشغل بيساوي half طبعاً VDQ الـ half + +29 +00:02:47,090 --> 00:02:53,390 +وبتساوي رو في V دي تاو وبدل دي Q وحطيت رو دي تاو + +30 +00:02:53,390 --> 00:03:00,690 +طيب جاني القانون جاوس الجديد عندك صار دل ضد دي + +31 +00:03:00,690 --> 00:03:06,630 +بيساوي رو free إذا بدل رو بدي أحط دل ضد دي حط .. + +32 +00:03:06,630 --> 00:03:13,620 +حطينا طبعاً أول ما حط .. خلينا وإن كنا احنا ما بنركز أنا + +33 +00:03:13,620 --> 00:03:16,720 +على الاشتقاق بس عشان الواحد يفهم ال .. خليني أقول + +34 +00:03:16,720 --> 00:03:21,200 +فلسفة الاشتقاق تطلعوا هنا قالوا هذا حاصل ضرب شغلة + +35 +00:03:21,200 --> 00:03:25,040 +وفي شغلة ثانية بدون حاصل ضرب يعني بمعنى آخر اشتقاق + +36 +00:03:25,040 --> 00:03:28,920 +هذا وهذا بدون اشتقاق لو اجيت أنا وقلت هذا عبارة + +37 +00:03:28,920 --> 00:03:33,720 +عن اشتقاق حاصل ضرب شغلتين إيش اللي فيها بهذا + +38 +00:03:33,720 --> 00:03:39,320 +المنطق؟ فبيقولي لو عملنا كالتالي الـ Divergence of + +39 +00:03:39,320 --> 00:03:44,780 +VD بيساوي الأول في اشتقاق الثاني زائد اشتقاق الأول + +40 +00:03:44,780 --> 00:03:50,600 +في الثاني لما طلعنا قلنا هذا هو نفسه هذا ولا لا؟ + +41 +00:03:50,600 --> 00:03:55,400 +صحيح؟ هل هذا بيساوي هذا ناقص هذا ولا لا؟ آه، حط، + +42 +00:03:55,400 --> 00:03:59,540 +حطينا طبعاً، خد في عين الاعتبار على طول أن دليل V + +43 +00:03:59,540 --> 00:04:03,180 +أحط محلها سالب E لأن هنا في دليل V، شايفينها؟ هذه + +44 +00:04:03,180 --> 00:04:09,110 +مش بده أحط محلها دي، سالب E بعدين بدل ال V فصلت هيك + +45 +00:04:09,110 --> 00:04:15,090 +قال لي عوّد فوق عوّد فوق طبعاً هذه صارت هنا إي جد إي + +46 +00:04:15,090 --> 00:04:19,990 +جد وصارت زائد إذا متبعين معايا تمام حط لها + +47 +00:04:19,990 --> 00:04:26,390 +divergence of something دي تاو بدي أحولها ل + +48 +00:04:26,390 --> 00:04:29,850 +surface integral ال divergence theorem ولا لا + +49 +00:04:29,850 --> 00:04:37,300 +using the divergence theorem أشغل دي تبعه طبعاً، دي + +50 +00:04:37,300 --> 00:04:42,200 +هي .. إذا الـ Divergent Theorem في هذا التكامل + +51 +00:04:42,200 --> 00:04:48,780 +صار لها .. الآن لو كان ليه Space كله، وين الـ + +52 +00:04:48,780 --> 00:04:54,680 +Surface؟ هو إيش بيقرر هذا الـ Surface لهذا الـ + +53 +00:04:54,680 --> 00:04:57,100 +Ball؟ المحيط، المحيط، المحيط، المحيط، المحيط، + +54 +00:04:57,100 --> 00:04:57,940 +المحيط، المحيط، المحيط، المحيط، المحيط، المحيط، + +55 +00:04:57,940 --> 00:04:59,940 +المحيط، المحيط، المحيط، المحيط، المحيط، المحيط، + +56 +00:04:59,940 --> 00:05:00,060 +المحيط، المحيط، المحيط، المحيط، المحيط، المحيط، + +57 +00:05:00,060 --> 00:05:01,620 +المحيط، المحيط، المحيط، + +58 +00:05:27,550 --> 00:05:34,150 +الـ V KQ على R والـ E KQ على R تربيع طب هذه R وR + +59 +00:05:34,150 --> 00:05:38,710 +تربيع عشان .. عند النهايات إيش بيصير هذا؟ Zero + +60 +00:05:38,710 --> 00:05:43,870 +إذا هذا الـ time برجح إذا كان كل space إذا كل + +61 +00:05:43,870 --> 00:05:48,450 +space هذا الـ time برجح بيقول بنحذفها بيقول if + +62 +00:05:48,450 --> 00:05:52,390 +the integral is to be performed over the entire + +63 +00:05:52,390 --> 00:05:57,850 +space كل space ساعتها الـ VARIOUS INTEGRAL VANISH و + +64 +00:05:57,850 --> 00:06:03,290 +هي قيمة عادتها إيش أخبرك هذا عن هذا كان زمان E + +65 +00:06:03,290 --> 00:06:09,950 +تبعها يعني E ضد الـ E صح ولا صار واحدة من الـ E راحت + +66 +00:06:09,950 --> 00:06:14,670 +وصار مكانها D صار E ضد الـ D تنسوا في الـ Epsilon Note راحت + +67 +00:06:14,670 --> 00:06:18,930 +لأن الـ Epsilon Note في الـ E هي الـ D طبعاً فصار بيساوي نص E + +68 +00:06:18,930 --> 00:06:23,270 +ضد الـ D طبعاً هذه القلوب ما بتتغيرش الأولاني ما بتغيرش + +69 +00:06:33,400 --> 00:06:36,840 +بالتالي راحت أنا اتخذت أحد الأسئلة واعتبره مثال + +70 +00:06:36,840 --> 00:06:44,920 +بربلين ستة وعشرين بربلين ستة وعشرين بيقول + +71 +00:06:44,920 --> 00:06:50,960 +اميدالي سفير of radius A carries a charge capital + +72 +00:06:50,960 --> 00:06:55,900 +Q. It is surrounded by out radius B by linear by + +73 +00:06:55,900 --> 00:06:59,400 +electric material of susceptibility kai. Find the + +74 +00:06:59,400 --> 00:07:02,280 +energy of this configuration. بيقول لي هاي الرسمة + +75 +00:07:02,280 --> 00:07:05,280 +تبعته. شفتوا هالرسمة قبل كده؟ لما جيبنا .. + +76 +00:07:05,280 --> 00:07:10,620 +استخدامنا قانون جاوس صحيح؟ بيقول لي بدي الـ energy + +77 +00:07:10,620 --> 00:07:15,460 +بقول الـ energy ده وكل ساعة أخذتها بالثابت نص + +78 +00:07:15,460 --> 00:07:16,620 +كانها + +79 +00:07:21,380 --> 00:07:25,660 +صحيح ولا لا؟ طيب تطلعوا على عقد أنتو ديتا وهادي + +80 +00:07:25,660 --> 00:07:31,960 +كل space ولا مش كل space؟ كل space هادي بتتحول R + +81 +00:07:31,960 --> 00:07:39,000 +تربيع sign فيتا دي فيتا دي فاي دي R صحيح ولا لا؟ + +82 +00:07:39,000 --> 00:07:43,460 +طيب نجي للـ دي R من وين لوين أصل التكامل عشان يكون كل + +83 +00:07:43,460 --> 00:07:48,620 +space؟ من صفر لما لا نهاية هذا كل space لكن هل من + +84 +00:07:48,620 --> 00:07:52,620 +صفر لما لا نهاية كلهم نفس الـ E ونفس الـ D؟ لأ، الـ + +85 +00:07:52,620 --> 00:07:59,380 +B لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +86 +00:07:59,380 --> 00:08:03,300 +لأ لأ لأ + +87 +00:08:03,300 --> 00:08:03,940 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +88 +00:08:03,940 --> 00:08:10,560 +لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ لأ + +89 +00:08:10,560 --> 00:08:24,200 +لأ لأ لأ ل E.D ضد D تاو طبعاً أنا بيعني فيه D تاو إيش + +90 +00:08:24,200 --> 00:08:29,900 +مش D تاو احنا بدنا الـ D تاو الفارق بس هو مش .. + +91 +00:08:29,900 --> 00:08:38,940 +ما بعرف إيش الحلقة الحلقة + +92 +00:08:38,940 --> 00:08:40,060 +هذه محفوظة هي ثالثة وقت + +93 +00:08:55,200 --> 00:09:05,560 +تمام زائد من A ل B E between dot D between D تاو + +94 +00:09:05,560 --> 00:09:14,440 +زائد من B لما لا نهاية E out dot D out D تاو + +95 +00:09:14,440 --> 00:09:21,590 +اتفقنا هيك تمام طبعاً سؤال زي هذا حلو بيشمل شغلات + +96 +00:09:21,590 --> 00:09:25,910 +كتيرة بدي أجيب E و D باستخدام قانون جاوس لأنه + +97 +00:09:25,910 --> 00:09:30,790 +شكل كروي أسهل حاجة قانون جاوس تمام أي قانون جاوس + +98 +00:09:30,790 --> 00:09:35,050 +بدك؟ بدي هذا صحيح؟ + +99 +00:09:35,050 --> 00:09:38,970 +حاجة هذا القانون إيش بيقول؟ بيقول D ضد دي إس + +100 +00:09:38,970 --> 00:09:44,210 +مساوي Q enclosed free لو كنت أنا في المنطقة الحمراء + +101 +00:09:44,210 --> 00:09:48,640 +ها بدي أستخدم أول قانون هذا في المنطقة الحمراء يعني + +102 +00:09:48,640 --> 00:09:54,620 +R أقل من A مين يقولي قداش يا جماعة واحدة واحدة + +103 +00:09:54,620 --> 00:10:00,300 +ساعدتني؟ اطلع هالرسمة في المنطقة الحمراء هذه متالي + +104 +00:10:00,300 --> 00:10:06,060 +سفير في جوا شحنات؟ لأ إذا مافيش تعوض محل Q in + +105 +00:10:06,060 --> 00:10:11,600 +closed free قداش تقدر تقولي إذا معناته DN بيساوي + +106 +00:10:11,600 --> 00:10:20,260 +Zero وساعتها EN صح ولا لأ؟ إيش صار هيدا يا نور هيدا؟ + +107 +00:10:20,260 --> 00:10:24,860 +روح، مظبوط، احكي بس في بعض الأحيان احنا عندنا دي ار + +108 +00:10:24,860 --> 00:10:28,880 +مش دي تر بس ما هو أنا حطيت عدة بترجع دي ار، خليها + +109 +00:10:28,880 --> 00:10:33,380 +زمانية، عدة بترجع، ليش؟ لأنه هنا أنا عوضت sign في + +110 +00:10:33,380 --> 00:10:36,620 +تتا في تتا في حطيتها أربعة باي، حتلاقي في أربعة + +111 +00:10:36,620 --> 00:10:39,220 +باي ولا مافيش إيش؟ اتنين باي، ما هو اتنين باي، + +112 +00:10:39,220 --> 00:10:45,060 +sorry تمام عشان النص هذه أربعة باي والنص تمام عشان + +113 +00:10:45,060 --> 00:10:51,900 +كده خلينا الملزمة صح الآن بدي لما تكون R أكبر من + +114 +00:10:51,900 --> 00:10:56,300 +A طبعاً في عندي حالتين للمنطقة الخضراء للمنطقة + +115 +00:10:56,300 --> 00:11:01,220 +الخارجية الخارجية صح؟ لو أخذت قانون جاوس أو سطح + +116 +00:11:01,220 --> 00:11:11,010 +جاوس هنا وهنا إيش قدير؟ مين فيه شحنات أكثر free؟ أي + +117 +00:11:11,010 --> 00:11:20,000 +سطح الأولاني ولا الثاني؟ نفس الشيء، صح؟ A اللي هو Q + +118 +00:11:20,000 --> 00:11:25,880 +إذا معناته D في الحالتين زي بعض في هذه الحالة + +119 +00:11:25,880 --> 00:11:30,860 +بيصير D في أربعة Pi R تربيع R لأ صغيرة لأ كبيرة + +120 +00:11:30,860 --> 00:11:38,780 +كل واحد بتساوي قد ايش؟ Q إذا D بتساوي Q على أربعة Pi + +121 +00:11:38,780 --> 00:11:46,420 +R تربيع إذا هذه وهذه واحد صح؟ لكن هل هذه وهذه + +122 +00:11:46,420 --> 00:11:53,820 +واحد؟ لأ واحدة منهم D على إبسلون نوت وواحدة D على + +123 +00:11:53,820 --> 00:12:01,400 +إبسلون إذا خلاص بدك تبدأ تشتغل إذا أول حاجة عملته + +124 +00:12:01,400 --> 00:12:07,420 +النص هي في أربعة باي وساين فيتا و في نص اليسارات اتنين + +125 +00:12:07,420 --> 00:12:11,720 +باي سين فيتا دي فيتا دي فاي بتعطينا أربعة باي فده + +126 +00:12:11,720 --> 00:12:15,080 +إيش ضال عندك؟ دي R طبعاً هنا في كمان R تربيع + +127 +00:12:15,080 --> 00:12:19,780 +المفروض يكون موجودة تمام using Gauss's law we have + +128 +00:12:19,780 --> 00:12:25,180 +اللي أنا توي عملته بس اعمل هدول عشان احنا سوينا + +129 +00:12:28,100 --> 00:12:32,760 +E equal to zero in the middle region و D في + +130 +00:12:32,760 --> 00:12:38,800 +الحالتين زي بعض و E لما R أكبر من B برا خالص و + +131 +00:12:38,800 --> 00:12:44,980 +لما R between A and B بتكون على إبسلون و إبسلون + +132 +00:12:44,980 --> 00:12:48,680 +هي إبسلون R في إبسلون نوت هيك أنا عملت كل حاجة + +133 +00:12:48,680 --> 00:12:52,240 +إيش اتعوضت؟ متعوضة الآن لما أجي أعوض طلعت هيك + +134 +00:12:55,130 --> 00:12:59,010 +طبعاً عندي فيه تربيع وفيه في البسط كمان R تربيع + +135 +00:12:59,010 --> 00:13:02,350 +فبيصير التكاملات هيك وطبعاً هذه التكاملات كلها very + +136 +00:13:02,350 --> 00:13:07,570 +simple لأن دي R على R تربيع ناقص واحد على R و بنعوض + +137 +00:13:07,570 --> 00:13:12,970 +محلهم وبنطلع الـ energy طبعاً هذا problem 26 في + +138 +00:13:12,970 --> 00:13:18,690 +الكتاب عشان ما كانش حاطط هو مثال فقلنا جيد أن نعمل + +139 +00:13:18,690 --> 00:13:25,430 +عليها مثال وحطينا هذا المثال forces in the + +140 +00:13:25,430 --> 00:13:27,790 +electric وهو الموضوع الأخير في هذا الـ chapter + +141 +00:13:27,790 --> 00:13:34,530 +يعني هذا موضوع مش ذات أهمية هامشية بيقول يثبت أن + +142 +00:13:34,530 --> 00:13:39,050 +we have an isolated system isolated system يعني + +143 +00:13:39,050 --> 00:13:42,790 +أنا مش شابكة ببطارية واحنا أخذنا المكثف لما ما + +144 +00:13:42,790 --> 00:13:46,870 +يكون أنت فكيته من البطارية إيش ما تسوي فيه الشحنات + +145 +00:13:46,870 --> 00:13:51,670 +بتتغير لأ Q is constant لأنه هو hot dielectric أصلًا + +146 +00:13:51,670 --> 00:13:56,090 +زادت لكن من هناك تجيب شحنات مافيش بطارية فبتكون الـ + +147 +00:13:56,090 --> 00:13:59,390 +Q is constant في هذه الحالة أنا خلينا نجيب الشغل + +148 +00:13:59,390 --> 00:14:03,850 +قال لي الشغل بيساوي F ضد الـ DL بالسالب اللي هو الـ + +149 +00:14:03,850 --> 00:14:10,720 +energy تمام اعمل it.product between the force and + +150 +00:14:10,720 --> 00:14:15,360 +dL in cartesian coordinates وكنا نعرف أنه لو كان + +151 +00:14:15,360 --> 00:14:18,980 +الشغل بيعتمد على three variables معناته دي أوميغا + +152 +00:14:18,980 --> 00:14:22,240 +بالسوية partial أوميغا على partial X دي X زي partial + +153 +00:14:22,240 --> 00:14:25,080 +أوميغا على partial Y دي Y زي partial أوميغا على + +154 +00:14:25,080 --> 00:14:30,760 +partial Z دي Z حلو قارن بين الاتنين جاني الـ X هي + +155 +00:14:30,760 --> 00:14:34,600 +هذه بتساوي هذه وهذه بتساوي هذه وهذه بتساوي هذه في + +156 +00:14:34,600 --> 00:14:39,820 +هذه الحالة الـ FX بتساوي سالب تفاضل الـ work + +157 +00:14:39,820 --> 00:14:45,560 +بالنسبة للـ X والـ FY والـ FZ مع مين أخذتوها متوفرة + +158 +00:14:45,560 --> 00:14:51,960 +الـ thermodynamic؟ سامي الفصل الماضي أظن أنه أخذتوها + +159 +00:14:51,960 --> 00:14:54,840 +حاجة زي هيك في الـ thermodynamic كانت الـ Q هناك مش + +160 +00:14:54,840 --> 00:15:01,190 +الـ charge heat heat كان نفس الرمز q أنه كيف مرات + +161 +00:15:01,190 --> 00:15:05,610 +بتكون إما الـ volume ثابت أو دي حرارة ثابتة أو إيش + +162 +00:15:05,610 --> 00:15:07,950 +الـ variable اللي خير ما هو الـ temperature ده + +163 +00:15:07,950 --> 00:15:10,570 +الحرارة أو إيش الـ .. الـ pressure الـ pressure صحيح + +164 +00:15:10,570 --> 00:15:15,520 +برافو تمام أنا عندي هنا طبعاً نفس الشيء بس عندي الـ Q + +165 +00:15:15,520 --> 00:15:21,420 +حلو بيقول لي for a capacitor and if أوميغا بس تعتمد + +166 +00:15:21,420 --> 00:15:25,760 +على X في هذه الحالة F بيساوي طبعاً لما عملت على X + +167 +00:15:25,760 --> 00:15:31,140 +بتقطع فيه partial بصير exact derivative إيش أوميغا + +168 +00:15:31,140 --> 00:15:35,580 +للـ capacitor نص Q تربيع على C صح ولا لأ؟ طيب فاضل + +169 +00:15:35,580 --> 00:15:39,000 +بالنسبة للـ X الـ Q بتقولي ثابتة ولا لأ الـ Q ثابتة + +170 +00:15:39,000 --> 00:15:43,040 +مش بتضل عندك متغير C فصار القانون Q تربيع على C + +171 +00:15:43,040 --> 00:15:46,920 +تربيع دي C على دي X وطبعاً كنا بنعرف Q على C هي الـ V + +172 +00:15:46,920 --> 00:15:53,560 +فتعرفها دي C على دي X تمام هذا الـ force إذا الـ force + +173 +00:15:53,5 + +223 +00:19:46,900 --> 00:19:51,460 +بحبش يغير وبيأخذ وجهة نظر قبل ما يتأقلم مع التغيير، + +224 +00:19:51,460 --> 00:19:54,220 +هذه شغلة طبيعية، فهذا الشيء سبحان الله ربنا حاططه + +225 +00:19:54,220 --> 00:19:58,440 +في كل الناس، إن الواحد دائماً يقاوم التغيير، عشان + +226 +00:19:58,440 --> 00:20:02,390 +كده فيه علم اسمه علم التغيير، كيف تتغير وتطور في + +227 +00:20:02,390 --> 00:20:09,090 +علم الإدارة، مساقات كاملة، كيف عشان تغير بسلاسة، و + +228 +00:20:09,090 --> 00:20:13,070 +ما تواجهش مقاومة كبيرة في المجتمع اللي بيحكوا عن + +229 +00:20:13,070 --> 00:20:19,380 +تغييرات مجتمعية كبيرة، تمام؟ ويمكن أنتم لسه طازة + +230 +00:20:19,380 --> 00:20:25,100 +أو يعني خلينا نقول حدّ يدفع عهد صغير يعني، عشان + +231 +00:20:25,100 --> 00:20:27,820 +تشوفوا كيف بكرة مثلاً بعد عشر سنوات هتلاقوا فيه + +232 +00:20:27,820 --> 00:20:29,800 +كتير بعض الشغلات اللي كانت موجودة عندنا في المجتمع + +233 +00:20:29,800 --> 00:20:34,380 +اتغيرت، بس ما اتغيرتش بصراحة، أخدت وقت زي إحنا مثلاً + +234 +00:20:34,380 --> 00:20:39,640 +أديكم مثال: عادة العشاء عندنا، سألنا سنين وإحنا نقول + +235 +00:20:39,640 --> 00:20:43,220 +من الصبح لآخر الليل، والله مهلكة.. من الصبح لآخر + +236 +00:20:43,220 --> 00:20:46,060 +الليل، والله مهلكة.. قعدوا يمكن خمس سنين وهم بس + +237 +00:20:46,060 --> 00:20:48,600 +يقولوا والله مهلكة.. تبقى حد يغير وحد يقدر يغير + +238 +00:20:48,600 --> 00:20:51,860 +.. في الآخر بدأت.. شوية شوية كلها جت اعتمد بعد العصر + +239 +00:20:51,860 --> 00:20:54,680 +.. تمام؟ هذا أحد التغييرات اللي بتصير في المجتمعات + +240 +00:20:54,680 --> 00:20:59,060 +.. دائماً بتاخد وقت.. أنا عشت وإحنا نقول سنين و + +241 +00:20:59,060 --> 00:21:00,980 +إحنا نقول بدأ تغير.. بدأ تغير.. بدأ تغير.. + +242 +00:21:00,980 --> 00:21:06,370 +في الآخر اتغيرت.. تمام، وهذه نفس العملية، فهذا واحد + +243 +00:21:06,370 --> 00:21:09,530 +بيقول بيسحب، بيقول: آه وين رايح؟ أنا أنت ما بدك تغيرني؟ + +244 +00:21:09,530 --> 00:21:15,190 +فبتكون في قوة غصب عنها، جايه، بدي أحسب هذه القوة + +245 +00:21:15,190 --> 00:21:20,880 +تمام، القوة. أنا جبت القانون، هي قانونهذا أو هذا + +246 +00:21:20,880 --> 00:21:28,080 +نصف في تربيع dC على dX، تفضلها بالنسبة لـ X، طيب هذا + +247 +00:21:28,080 --> 00:21:30,800 +الكباس، يسيطر الـ dielectric in the capacitor is + +248 +00:21:30,800 --> 00:21:34,400 +withdrawn as shown, find the force. ting ting to + +249 +00:21:34,400 --> 00:21:36,860 +pull the dielectric back، يقول: شوف القوة اللي + +250 +00:21:36,860 --> 00:21:43,720 +بترجعها، اللي تحسب لي إياها، حلو، حلقيت يا بنات، هذا + +251 +00:21:43,720 --> 00:21:50,540 +الكاباسيتور، توي حكت نسمة، إن هذا C بيساوي ε₀A على D + +252 +00:21:50,540 --> 00:21:56,040 +لما بتحط dielectric بتظهر زي ما هي، بيصير هادي في + +253 +00:21:56,040 --> 00:22:00,800 +ε، آه ε، صح، بيصير ε₀ في ε لو بيحط هادي dielectric + +254 +00:22:00,800 --> 00:22:06,540 +طيب هنا، هذا dielectric كله يوة جزء جوه جوه + +255 +00:22:06,540 --> 00:22:12,300 +برا، طب كيف بتتعامل معاه بس هيك؟ + +256 +00:22:12,300 --> 0:22:17,500 +الخط، مخنا شوية زمان، كان في أسئلة كنا بيقولوا لي وردة + +257 +00:22:17,500 --> 00:22:21,280 +مصعبها في فيزياء 1، كنا عشان ندربها كتير بيقول لك + +258 +00:22:21,280 --> 00:22:27,420 +التاني كان في سؤال في فيزياء 1، هيك لأ، هيك بالظبط + +259 +00:22:27,420 --> 00:22:31,020 +قال هدى ياسون واحد، هدى ياسون اثنين، هدى ياسون ثلاثة + +260 +00:22:31,020 --> 00:22:35,060 +وقال لي ديب: ليه C لها الكبسولة، هدى عبيتها بثلاث مواد + +261 +00:22:35,060 --> 00:22:38,540 +مختلفة، الداي إليكتريكي، كيف بتعامل معاه؟ + +262 +00:22:42,670 --> 00:22:47,890 +طب كيف بتجمعهم؟ هدول متواصلين مع بعض توالي ولا + +263 +00:22:47,890 --> 00:22:54,650 +توازي؟ عشان أقدر أجيب C، طيب + +264 +00:22:54,650 --> 00:23:00,790 +هذا سؤال تبع فيزياء بقى، خليني أعمل هيك، لو كان هذا + +265 +00:23:00,790 --> 00:23:06,170 +مادة، وهذه مادة، هدول كانوا كم؟ بس بنعتبرهم؟ اثنين، كم + +266 +00:23:06,170 --> 00:23:06,930 +متواصلين؟ + +267 +00:23:11,930 --> 00:23:16,830 +النور بتقول توالي، بقول: هاي هذا وهاي هذا بدي + +268 +00:23:16,830 --> 00:23:21,410 +أفصلهم مع بعض، بحط هنا بينهم سلك، بقول هيك، كيف + +269 +00:23:21,410 --> 00:23:28,070 +هتصنعون الجيزارون؟ كيف هدول؟ توالي، توالي، بدل السلك + +270 +00:23:28,070 --> 00:23:32,290 +هذا الغلبان الصغير، ما فيش سلك، روح أتلمسهم مع بعض + +271 +00:23:32,290 --> 00:23:37,950 +طلع حدا، إذا هدول كيف؟ توالي، طيب هاي واحد وهاي + +272 +00:23:37,950 --> 00:23:43,630 +واحد، وعملت هيك، وكيف هدول متواصلين؟ توازي، طب هاد + +273 +00:23:43,630 --> 00:23:47,110 +الواحد، اتفجنا، ما فيش معاي capacitors، ليش هسوي؟ بتجربهم + +274 +00:23:47,110 --> 00:23:55,210 +مع بعض، هدى واحد وهدى اثنين، إيه صاروا؟ توازي، حاجة + +275 +00:23:55,210 --> 00:23:59,800 +هاي واحد وهاي اثنين، كيف متواصلين؟ توازي، إذن هدول + +276 +00:23:59,800 --> 00:24:03,680 +عبارة عن two capacitors متواصلين على التوازي، الـ + +277 +00:24:03,680 --> 00:24:06,180 +capacitors لما توصلوا على التوازي بيجمعهم جميعًا + +278 +00:24:06,180 --> 00:24:11,460 +عكس المقاومات، صح ولا لأ؟ إذن بدي أقول هاي C1 وهاي + +279 +00:24:11,460 --> 00:24:16,780 +C2، هاي + +280 +00:24:16,780 --> 00:24:22,560 +القانون التابع، C بيساوي εrε₀A على D، هذه εr + +281 +00:24:22,560 --> 00:24:26,600 +الآن أنا وياكم + +282 +00:24:31,580 --> 00:24:42,000 +بدي أقول C1 بتساوي، صح صح، مديش εr في C1؟ يعني ε + +283 +00:24:42,000 --> 00:24:54,220 +على 1، إذا ε₀A على D، بدي إيه؟ + +284 +00:24:54,220 --> 00:25:03,850 +X في D، X في D، أي مساحة بتعطيكي؟ تعطيني كلمة "ساعة" دي + +285 +00:25:03,850 --> 00:25:14,010 +صح، الشيء، إيه في الـ capacitor؟ إيش بتمثل؟ لما أقول + +286 +00:25:14,010 --> 00:25:17,510 +C بيساوي ε₀A على D، إيش إيه؟ + +287 +00:25:17,510 --> 00:25:26,970 +مساحتك إيش؟ الكبس، مش عارف من + +288 +00:25:26,970 --> 00:25:29,870 +يقولها، إيه الشيء هذا؟ زينب + +289 +00:25:34,280 --> 00:25:39,800 +إيش إيه؟ هو شو الكاباسيتور يا زينب؟ شو؟ هاي + +290 +00:25:39,800 --> 00:25:44,220 +الكاباسيتور، حلو، + +291 +00:25:44,220 --> 00:25:53,240 +وين إيه؟ هي أصل إيه؟ مش هي دالة الـQ؟ وين الـQ؟ + +292 +00:25:53,240 --> 00:25:58,520 +مساحة هذه، مساحة الـ plate، مساحة الـ plate، مش مساحة + +293 +00:25:58,520 --> 00:26:02,500 +اللوح، هو الـQ بتكون في اللوح؟ ولا الـQ هناك؟ إذن + +294 +00:26:02,500 --> 00:26:06,160 +هذه مساحة الـ plate، هو هذا بتفكروا خط وخط أكيد + +295 +00:26:06,160 --> 00:26:10,300 +مرسوم كاباسيتور، خط وخط، هو خط وخط، ولا هذه حافة plate؟ + +296 +00:26:10,300 --> 00:26:15,160 +إذن plate وplate، إذن إيه مساحة مين؟ يعني ده مساحة + +297 +00:26:15,160 --> 00:26:19,540 +الـ plate، الصفيحة، قمت عليها، تمام، جيبي لي المساحة الـ + +298 +00:26:19,540 --> 00:26:27,360 +G، مش حقك، يعني ده، ما جيبي المساحة، X فيهو، إيش العقل؟ + +299 +00:26:27,360 --> 00:26:30,680 +إيه، حلو، إيه هيك اللي بدي أحكي فيه، العرض، كل شخص في + +300 +00:26:30,680 --> 00:26:36,700 +العرض، خلاص بتعتبره W، width، إذا X في إيه؟ W، طيب + +301 +00:26:36,700 --> 00:26:43,280 +التاني C2، جدّيش مساحته؟ الناقص X في W، براو علينا + +302 +00:26:43,280 --> 00:26:46,740 +تمام؟ بس طبعاً التاني مش ε₀، εr في + +303 +00:26:46,740 --> 00:26:53,070 +ε₀، أو εr، صحيح ولا لأ؟ إذا هذه بتساوي X + +304 +00:26:53,070 --> 00:26:56,850 +في W، الـ width اللي مش مبين عندكم اللي في العمق + +305 +00:26:56,850 --> 00:27:01,870 +أفهمتوا إيش هي المساحة؟ مساحة الـ plate، وC2 + +306 +00:27:01,870 --> 00:27:10,850 +بتساوي εrε₀، الناقص X في W على D، هذه + +307 +00:27:10,850 --> 00:27:17,190 +المساحة، هذه الناقص X، مظبوط هيك ولا لأ؟ تمام، التانية + +308 +00:27:17,190 --> 00:27:22,090 +اللي هو نفس الـ D ولا مش نفس الـ D؟ نفس الـ D، طيب هدول + +309 +00:27:22,090 --> 00:27:26,090 +التانية كم متواصلين؟ توازي، وC equivalent للتانية + +310 +00:27:26,090 --> 00:27:32,050 +جمعهم، جمعهم، وكنا نعرف نجمعهم، امحي هذه بعد ما + +311 +00:27:32,050 --> 00:27:39,330 +جبناهم، أرجعنا يعني وكتبناهم كتابة كاملة، C1 زي C2 + +312 +00:27:39,330 --> 00:27:48,210 +XW على D زي εrε₀(A-XW) على D، جمعوا وضبطوا شغل رابع + +313 +00:27:48,210 --> 00:27:48,730 +ابتدائي + +314 +00:27:51,300 --> 00:27:55,960 +هذا الـ gate، أنا بدي أفضّل بالنسبة للـ X، اتفاجأنا هي + +315 +00:27:55,960 --> 00:27:59,440 +dC على dX، بسيطة، فاضل هذا بالنسبة للـ X + +316 +00:28:04,260 --> 00:28:11,220 +و على D، وهذه ناقص لأن هذه A، فضولها ثابت، فطلعت هيك + +317 +00:28:11,220 --> 00:28:16,480 +جمعناها، فطلعت هي dC على dX بالسالب، جاني الآن + +318 +00:28:16,480 --> 00:28:21,600 +القانون بيقول نصف في تربيع dC على dX، وdC على dX + +319 +00:28:21,600 --> 00:28:27,120 +طلعتها، اشتغلنا، فهي طلعت الـ force، طلعت الـ force + +320 +00:28:27,120 --> 00:28:33,950 +طلعوا constant، constant، إيش يعني سالب؟ بعكس الاتجاه + +321 +00:28:33,950 --> 00:28:39,130 +اللي تبقى حكينا عنه مثلاً، بعكس الاتجاه، طيب واحد + +322 +00:28:39,130 --> 00:28:44,030 +بيقول: طيب بعد ما طلع الـ force وجاله امين وكل شيء + +323 +00:28:44,030 --> 00:28:46,730 +متوقع، ويمكن يعملوا بتجربة، واحد بيسحب، بلاقوا واحد + +324 +00:28:46,730 --> 00:28:50,310 +بيعكسها باتجاه المعاكس، لكن إيش يقولوا من وين جت الـ + +325 +00:28:50,310 --> 00:28:54,910 +force هذه؟ بيقولوا: أنت بتقول لي هذا capacitor وهذا + +326 +00:28:54,910 --> 00:28:57,870 +موجب بقى، وهذا سالب، امين يقول لي جدّيش اتجاه المجال + +327 +00:28:57,870 --> 00:28:58,350 +كيف؟ + +328 +00:29:01,410 --> 00:29:07,590 +هيو، وأنت بتقول لي F طول عمرك Q في E، صح ولا لأ؟ يعني الـ + +329 +00:29:07,590 --> 00:29:11,430 +force باتجاه الـ E أو عكسها، طيب الـ E عمودي ولا مش + +330 +00:29:11,430 --> 00:29:18,370 +عمودي؟ ومن وين طلعت الـ F السينية؟ هنا الـ F طلعت هيك + +331 +00:29:18,370 --> 00:29:22,250 +معاك، واحد بيسحبنا أنت هيك وهي تسحب.. طلعت هذي + +332 +00:29:22,250 --> 00:29:26,990 +هيك، بعضها، فكروا من وين جت هذي؟ سحبنا + +333 +00:29:28,630 --> 00:29:32,610 +بنعملوا إيه؟ ما هو القوة المعاكسة؟ هالكون إنها سبب + +334 +00:29:32,610 --> 00:29:40,150 +فيزيائي ولا لأ؟ طيب، هذه القوة إيش مصدرها؟ ما فيش + +335 +00:29:40,150 --> 00:29:47,980 +احتكاك؟ حلو، الاحتكاك هي حاجة شغلة كتير مهمة، هذه + +336 +00:29:47,980 --> 00:29:51,940 +الاحتكاك هي معاكسة التغيير، دعنا نسميها كذلك، لكن + +337 +00:29:51,940 --> 00:29:54,340 +إيه سببه؟ بقول له: ما هو يقعد على الأرض، وإيه الأرض؟ + +338 +00:29:54,340 --> 00:29:59,940 +هي مش جماد، أنت ما أخدته مني، بدي أرجعه، إذن اتّصال + +339 +00:29:59,940 --> 00:30:03,660 +الجسم في الأرض جاب لقوة الاحتكاك، والاحتكاك شو هو؟ + +340 +00:30:03,660 --> 00:30:07,720 +هو في الـ molecules والـ particles مع بعض بحتكوا، + +341 +00:30:07,720 --> 00:30:10,440 +وبالتالي بيصير بينهم قوة، أصل القوة قوة غريبة + +342 +00:30:10,440 --> 00:30:15,580 +ومنطقية، الاحتكاك أصلها، تمام؟ الآن أنا هاجر بدور + +343 +00:30:15,580 --> 00:30:18,980 +عليه، أصلها يا دليلة، أنا فاهم في منطق أنه.. طب من + +344 +00:30:18,980 --> 00:30:21,580 +أين جاءت أصلها؟ لما أجوا يتبعوا على أصلها، قالوا + +345 +00:30:21,580 --> 00:30:25,860 +أصلها مش شايفه أنا، لأن الأصل أنه.. إيش اللي بتخلي + +346 +00:30:25,860 --> 00:30:29,800 +حاجة ترجع؟ بقول التانية.. هنا إيش جوا؟ مش فيه + +347 +00:30:29,800 --> 00:30:33,740 +dipoles، والـ dipoles هدول إنهم.. هاي سالب، هاي + +348 +00:30:33,740 --> 00:30:38,200 +موجب، طبعاً هاي موجب، إذن لابد أن يكون.. طبعاً + +349 +00:30:38,200 --> 00:30:44,740 +هدول polaroids أصلاً، polaroids معناته هيك، صح؟ طيب + +350 +00:30:44,740 --> 00:30:49,480 +القوة كيف تطلع؟ عمودية، قاعد أسأله شوية، أنت طول + +351 +00:30:49,480 --> 00:30:56,020 +عمرك بتقول ليه؟ شدّة المجال جوا uniform، بس.. it's + +352 +00:30:56,020 --> 00:31:00,300 +الأطراف، صح؟ طب عندي الأطراف، واحد جيت أنا بدأ أطلعه؟ + +353 +00:31:00,300 --> 00:31:04,080 +بدأ أخرج منه النص وأطلعه؟ ولا من الطرف نطلعه؟ إذا + +354 +00:31:04,080 --> 00:31:07,940 +أنت رايح للطرف، واسمع عنك، صح ولا لأ؟ في الطرف + +355 +00:31:07,940 --> 00:31:13,080 +المجال بيكون إيش، هيك المجال هيك، المجال هيدي، وبالتالي + +356 +00:31:13,080 --> 00:31:16,120 +هذا الـ dipole بيبطل هيك، يبواجف بيصير واجف هيك + +357 +00:31:16,120 --> 00:31:24,020 +فتصير عندها قوة.. قوة هيك، لما تحللها تطلع فهي أصل + +358 +00:31:24,020 --> 00:31:27,900 +..أصل.. الأصل الفيزيائي للقوة، بس عشان نفهم أنه + +359 +00:31:27,900 --> 00:31:31,380 +ما فيش تناقض في العلم، لإنه أي تناقض في العلم بيوقف + +360 +00:31:31,380 --> 00:31:34,180 +الدنيا كلها، لإنه في الآخر التناقض ده غلط من أساسه، إيش + +361 +00:31:34,180 --> 00:31:36,780 +الغلط؟ القانون الأصلي غلط، ولا إحنا اللي بيشتغلوا + +362 +00:31:36,780 --> 00:31:41,000 +غلط؟ وبالتالي لابد إنه تقعد كل المعلومات صح وتصير + +363 +00:31:41,000 --> 00:31:44,800 +مفسّرة، تمام تمام، فقالوا لأ، لها أصل فيزيائي زي ما + +364 +00:31:44,800 --> 00:31:46,940 +الاحتكاك دول، وليه أصل فيزيائي، قالوا فيه أصل + +365 +00:31:46,940 --> 00:31:53,100 +فيزيائي، هذا هنا أنت تتحرك، ما هو هذا.. هذا مش فراغ، + +366 +00:31:53,100 --> 00:31:55,880 +حد ما يقول لك هذي والله.. إيش فيها شنبلة؟ لا، وفيها + +367 +00:31:55,880 --> 00:31:58,880 +جوا فيها إلكترونات وفيها بروتونات وفيها مجال + +368 +00:31:58,880 --> 00:32:02,100 +المغناطيسي وفيها مجال كهربائي، وهنا بنعمل عملية كل + +369 +00:32:02,100 --> 00:32:05,620 +هذه بتولد بقوة، إحنا بيقولوا أنا قوة احتكاك، تمام؟ + +370 +00:32:05,620 --> 00:32:09,760 +لأنها شبكة، وقالوا بيساوي μs في N، وμk في + +371 +00:32:09,760 --> 00:32:15,060 +N، تمام يا + +372 +00:32:15,060 --> 00:32:17,380 +طيب، عافية، هيك بنكون خلصنا الـ chapter. diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/eTxyiNmZkkk_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/eTxyiNmZkkk_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..d1f1b56c7d211272525cbab7f239992ed73dada0 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/eTxyiNmZkkk_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 5044, "start": 20.7, "end": 50.44, "text": 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"probability": 0.465576171875}, {"start": 275.06, "end": 275.26, "word": " spherical", "probability": 0.07275390625}, {"start": 275.26, "end": 275.9, "word": " coordinates", "probability": 0.8974609375}, {"start": 275.9, "end": 276.66, "word": " مظبوط", "probability": 0.8396484375}, {"start": 276.66, "end": 276.74, "word": " او", "probability": 0.548095703125}, {"start": 276.74, "end": 277.06, "word": " لأ؟", "probability": 0.787109375}], "temperature": 1.0}, {"id": 13, "seek": 29381, "start": 277.91, "end": 293.81, "text": "تمام، إذا هذه هي رو، هذه هي رو، في هي في تبع الـ spherical coordinates وليش اتغير فيها؟ هي الزاوية اللي بيعملها رو، اللي هو مفقط R مع الـ X axis", "tokens": [39237, 10943, 12399, 11933, 15730, 29538, 39896, 12602, 2407, 12399, 29538, 39896, 12602, 2407, 12399, 8978, 39896, 8978, 6055, 3555, 3615, 2423, 39184, 37300, 21056, 4032, 20292, 8592, 1975, 2655, 17082, 13546, 8978, 11296, 22807, 39896, 6024, 110, 995, 2407, 10632, 13672, 1829, 4724, 1829, 25957, 1211, 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"word": " بيعملها", "probability": 0.9611328125}, {"start": 289.91, "end": 290.81, "word": " رو،", "probability": 0.8792317708333334}, {"start": 290.81, "end": 290.97, "word": " اللي", "probability": 0.988525390625}, {"start": 290.97, "end": 291.15, "word": " هو", "probability": 0.978515625}, {"start": 291.15, "end": 291.63, "word": " مفقط", "probability": 0.737060546875}, {"start": 291.63, "end": 292.01, "word": " R", "probability": 0.66796875}, {"start": 292.01, "end": 292.89, "word": " مع", "probability": 0.65625}, {"start": 292.89, "end": 293.11, "word": " الـ", "probability": 0.7352294921875}, {"start": 293.11, "end": 293.25, "word": " X", "probability": 0.6005859375}, {"start": 293.25, "end": 293.81, "word": " axis", "probability": 0.381103515625}], "temperature": 1.0}, {"id": 14, "seek": 32327, "start": 294.65, "end": 323.27, "text": "هي الزاوية اللي بيعملها رو مع الـ X Axis و بدها تلف 360 درجة عشان انا اكون حواطة جميع الاحتمالات و الـ Z Axis هو الارتفاع اللي انا ماخده هو الـ Z 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موجودة احنا المرة جيبنا ال divergence اظن لل R بال Cartesian Coordinates طلعت معايا تلاتة اظن بأحد الأمثلة اشوف .. انا .. اشوف دلوقتي", "tokens": [9566, 3555, 16490, 1211, 9957, 1829, 1975, 8315, 1975, 25957, 1211, 13412, 17082, 37977, 20449, 9957, 3660, 1975, 47341, 3615, 12610, 1829, 1975, 8315, 37893, 6225, 9640, 5172, 1975, 8315, 8978, 1975, 1829, 20328, 5172, 5016, 3660, 3714, 29245, 23328, 3660, 1975, 5016, 8315, 9673, 25720, 10874, 1829, 3555, 8315, 2423, 47387, 1975, 19913, 1863, 24976, 497, 20666, 22478, 42434, 39620, 1024, 23032, 1211, 34268, 20449, 995, 25528, 6055, 1211, 9307, 3660, 1975, 19913, 1863, 4724, 10721, 24401, 16247, 2304, 12984, 37977, 1975, 8592, 38688, 4386, 1975, 8315, 4386, 1975, 8592, 38688, 11778, 1211, 30543, 31371], "avg_logprob": -0.21826674766147258, "compression_ratio": 1.5707317073170732, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1784.14, "end": 1784.38, "word": "طب", "probability": 0.700927734375}, {"start": 1784.38, "end": 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0.978759765625}, {"start": 2614.26, "end": 2614.42, "word": " عن", "probability": 0.78515625}, {"start": 2614.42, "end": 2614.72, "word": " دراك", "probability": 0.7627766927083334}, {"start": 2614.72, "end": 2614.98, "word": " عشان", "probability": 0.9366861979166666}, {"start": 2614.98, "end": 2615.06, "word": " هو", "probability": 0.85205078125}, {"start": 2615.06, "end": 2615.44, "word": " فيزيائي", "probability": 0.87802734375}, {"start": 2615.44, "end": 2615.76, "word": " وبيعرف", "probability": 0.791259765625}, {"start": 2615.76, "end": 2616.16, "word": " رياضيات", "probability": 0.98232421875}, {"start": 2616.16, "end": 2616.82, "word": " كتير،", "probability": 0.9322509765625}, {"start": 2616.82, "end": 2616.92, "word": " إذا", "probability": 0.767822265625}, {"start": 2616.92, "end": 2617.18, "word": " الدكتور", "probability": 0.914794921875}, {"start": 2617.18, "end": 2617.46, "word": " سميه", "probability": 0.60546875}, {"start": 2617.46, "end": 2617.78, "word": " فرحات", 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"temperature": 1.0}, {"id": 99, "seek": 265343, "start": 2630.15, "end": 2653.43, "text": "هو يقول لي هذه 0 وهذه كم طلعت؟ 4πي وعملناها مع بعض ولمّا عملت الـ divergence theorem قال لي هذه مسبوش بعض إذا بيقول لي هنا here we have a contradiction في عنده تناقض ما بين طرفين النظرية اللي أخدناها و أثبتناها رياضيا وعملنا عدة أمثلة وظبطت ليش هنا مظبوطش؟ أصلا من أول أنا عندي مشكلة في ال function", "tokens": [3224, 2407, 7251, 39648, 32239, 29538, 1958, 37037, 24192, 9122, 2304, 23032, 1211, 34268, 22807, 1017, 4339, 1829, 4032, 25957, 1211, 8315, 11296, 20449, 45030, 11242, 4032, 19528, 11703, 995, 6225, 42213, 2655, 2423, 39184, 47387, 20904, 50239, 32239, 29538, 3714, 35457, 2407, 8592, 45030, 11242, 11933, 15730, 4724, 1829, 39648, 32239, 34105, 510, 321, 362, 257, 34937, 8978, 43242, 3224, 6055, 8315, 4587, 11242, 19446, 49374, 23032, 28480, 9957, 28239, 19913, 2288, 10632, 13672, 1829, 5551, 9778, 3215, 8315, 11296, 4032, 5551, 12984, 3555, 2655, 8315, 11296, 12602, 1829, 46958, 25528, 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مشكلة", "probability": 0.9853515625}, {"start": 2652.97, "end": 2653.05, "word": " في", "probability": 0.8857421875}, {"start": 2653.05, "end": 2653.13, "word": " ال", "probability": 0.97314453125}, {"start": 2653.13, "end": 2653.43, "word": " function", "probability": 0.71630859375}], "temperature": 1.0}, {"id": 100, "seek": 267611, "start": 2654.05, "end": 2676.11, "text": "The problem is the point R بيستوى Zero قالوا أيه ال problem عندي؟ انه عند R بيستوى سفر ال function non-defined وبالتالي ديراج قال هذا function هيتكرر معانا كتير يا فيزيائيين بدنا نحلله الحل قال انا بقترح التالي So we write قال لي دل ضد ال A من الأساس ما تكتبوش سفر", "tokens": [2278, 1154, 307, 264, 935, 497, 4724, 1829, 14851, 2407, 7578, 17182, 50239, 14407, 36632, 3224, 2423, 1154, 18871, 16254, 22807, 16472, 3224, 43242, 497, 4724, 1829, 14851, 2407, 7578, 8608, 5172, 2288, 2423, 2445, 2107, 12, 37716, 46599, 6027, 2655, 6027, 1829, 11778, 13546, 26108, 50239, 23758, 2445, 39896, 2655, 37983, 2288, 20449, 7649, 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{"start": 2665.85, "end": 2665.95, "word": " يا", "probability": 0.9453125}, {"start": 2665.95, "end": 2666.73, "word": " فيزيائيين", "probability": 0.854736328125}, {"start": 2666.73, "end": 2667.29, "word": " بدنا", "probability": 0.707763671875}, {"start": 2667.29, "end": 2667.65, "word": " نحلله", "probability": 0.9603271484375}, {"start": 2667.65, "end": 2667.99, "word": " الحل", "probability": 0.931640625}, {"start": 2667.99, "end": 2668.61, "word": " قال", "probability": 0.845703125}, {"start": 2668.61, "end": 2668.91, "word": " انا", "probability": 0.7227783203125}, {"start": 2668.91, "end": 2669.35, "word": " بقترح", "probability": 0.927978515625}, {"start": 2669.35, "end": 2669.91, "word": " التالي", "probability": 0.9493815104166666}, {"start": 2669.91, "end": 2670.41, "word": " So", "probability": 0.39599609375}, {"start": 2670.41, "end": 2670.65, "word": " we", "probability": 0.80078125}, {"start": 2670.65, "end": 2670.97, "word": " write", "probability": 0.8779296875}, 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+00:00:40,120 --> 00:00:44,380 +الـSphere بدأنا فيها ليش؟ لأن الـSphere كحالة خاصة + +6 +00:00:44,380 --> 00:00:48,460 +أنا أحلها عن طريق Gauss وأنا أحلها عن طريق + +7 +00:00:48,460 --> 00:00:53,120 +Coulomb مظبوط ولا لأ؟ بس الحالة هناك كانت الجهد + +8 +00:00:53,120 --> 00:00:58,300 +عليها يكون constant، هنا عملياً وصحتها الآن في + +9 +00:00:58,300 --> 00:01:04,020 +سؤال، طبعاً السؤال اللي قدّامي قال لي هذه لا بتقدر + +10 +00:01:04,020 --> 00:01:09,600 +تحلها بجاوس ولا بتقدر تحلها بكولومب، إيش هو السؤال؟ + +11 +00:01:09,600 --> 00:01:15,540 +بيقول لي: an uncharged metal sphere، هل metal بالنسبة + +12 +00:01:15,540 --> 00:01:21,020 +لإنك فاهم بتعني شيء ولا بتعني شيء؟ الـ conductor + +13 +00:01:21,020 --> 00:01:24,720 +الـ conductor له صفات ولا مش صفات؟ جوا فيه شحنات؟ جديش + +14 +00:01:24,720 --> 00:01:30,460 +المجال جوا قديش؟ والجهد جوا قديش؟ على سطحه بيساوي؟ + +15 +00:01:33,530 --> 00:01:37,690 +constant، مظبوط؟ هذه خواص على طول بتنط عندي لأن هذه + +16 +00:01:37,690 --> 00:01:43,030 +metal، تمام، إيش مثلاً is placed in a uniform + +17 +00:01:43,030 --> 00:01:48,990 +electric field، ومدّيه قيمته، بده find the potential + +18 +00:01:48,990 --> 00:01:53,190 +outside this field، طبعاً مش منطق يقول لي أوجد inside + +19 +00:01:53,190 --> 00:01:57,350 +و outside لأن أنتم قلتم لي قديش الـ inside المجال + +20 +00:01:57,350 --> 00:02:01,190 +zero، وجهه ثابت، وجهه تستطيع، إذا بيقول لي outside، طيب + +21 +00:02:02,090 --> 00:02:04,790 +يطلع في مكان موجود في هذه المتاسفير، In a uniform + +22 +00:02:04,790 --> 00:02:09,890 +electric field، uniform electric field، بدّي أنا أرسم + +23 +00:02:09,890 --> 00:02:13,870 +...راشد... بدّي أرسمهم، uniform electric field كيف + +24 +00:02:13,870 --> 00:02:17,870 +أرسمه؟ خطوط متوازية + +25 +00:02:29,110 --> 00:02:32,550 +مظبوط ولا لأ؟ أول ما أشوفه بقول إيش معنى ده؟ + +26 +00:02:32,550 --> 00:02:38,590 +uniform electric field، طب وين بيبدأ وين بيخلص؟ + +27 +00:02:38,590 --> 00:02:43,710 +نحكي إيه؟ يعني هذا ضايق للمالا نهاية صح ولا لأ؟ + +28 +00:02:43,710 --> 00:02:48,670 +يعني عندي المالا نهاية قديش المجال؟ ليش؟ مش هي ماشية + +29 +00:02:48,670 --> 00:02:52,910 +معاكِ للمالا نهاية؟ ليه صفر؟ هو ثابت، هو ثابت، + +30 +00:02:52,910 --> 00:02:56,670 +يعني فيه مجال في المالا نهاية ولا لأ؟ نرجع، واحد + +31 +00:02:56,670 --> 00:02:59,050 +يقول: اغفر المالا نهاية، هو المالا نهاية، إحنا + +32 +00:02:59,050 --> 00:03:01,490 +بنقول بيساوي المالا نهاية ولا قُسْ المالا نهاية، + +33 +00:03:01,490 --> 00:03:05,150 +لأن المالا نهاية شغلة نسبية، صحيح ولا لأ؟ يعني + +34 +00:03:05,150 --> 00:03:06,950 +المالا نهاية ممكن تكون الحيطة هذه والحيطة هذه + +35 +00:03:06,950 --> 00:03:11,610 +بالنسبة لي، المهم في المنطقة البعيدة عني هي المَدينِية + +36 +00:03:11,610 --> 00:03:14,130 +هي المنطقة البعيدة عني، فيه مجال لأن هو already في + +37 +00:03:14,130 --> 00:03:20,950 +مجال، إيش بدّي أسوي؟ جالي بدّي أحط sphere، خليني أقول... + +38 +00:03:20,950 --> 00:03:29,110 +خليني أعمل sphere زي هذي، مثل sphere مثل، هل يُعقل بحسب + +39 +00:03:29,110 --> 00:03:33,490 +المعلومات اللي أخذتها في المدرسة؟ الخطّ دلّو ماشي؟ هذا + +40 +00:03:33,490 --> 00:03:36,330 +الخطّ يعني أن هناك مجال، هناك مجال هنا؟ ممنوع يكون + +41 +00:03:36,330 --> 00:03:39,150 +هناك مجال. طب، ماذا يحصل؟ قال لي الخط هذا ماذا + +42 +00:03:39,150 --> 00:03:44,570 +يحصل فيه؟ ينحرف. وهذا الخط ينحرف. إذا إيش + +43 +00:03:44,570 --> 00:03:50,570 +صار في خطوط المجال؟ دلت متوازية؟ انحرفت، تغيرت، + +44 +00:03:50,570 --> 00:03:54,850 +عشان كده بقول أوجد المجال، لأنه تغير، ماضلش زي ما + +45 +00:03:54,850 --> 00:03:57,470 +هو، انحرف، أحكي وياه + +46 +00:04:00,210 --> 00:04:03,410 +هل بدّي يظلوا على طول؟ ينفع؟ كنت سرحانة توي + +47 +00:04:03,410 --> 00:04:09,710 +المجال جوا إيش؟ خط المجال بيعني فيه مجال، لو ظلّوا + +48 +00:04:09,710 --> 00:04:14,190 +المجال دغري، جوا المجال بيصير فيه خطوط ولا لأ؟ لو + +49 +00:04:14,190 --> 00:04:17,690 +ظلّوا دغري، بيكون جوا فيه خطوط مجال، مسموح لك؟ + +50 +00:04:17,690 --> 00:04:21,350 +لأنه إيش لازم يكون؟ إذا المعنى...الخطّ ما ينفعش يظلّ + +51 +00:04:21,350 --> 00:04:27,330 +دغري؟ إذا لازم الخط من برا يمَسَّحه، جوا ممنوع يفوت + +52 +00:04:27,330 --> 00:04:37,710 +صح ولا لأ؟ أذكركم في شطر اتنين وقتيش + +53 +00:04:37,710 --> 00:04:42,610 +إحنا اتفقنا كثر الأسئلة أو كثر الغلبة اللي بدكم إياها + +54 +00:04:42,610 --> 00:04:47,910 +كثر الأسئلة المهمة وقتيش بكون عندنا نهاية السفر، تلعب + +55 +00:04:47,910 --> 00:04:53,130 +علينا نور، هذه مش هنا، مش هنا، المجال جاي منها، أبعد + +56 +00:04:53,130 --> 00:04:59,460 +عنها كتير، قديش المجال؟ zero، لأنه جاي منها طبعاً، لكن + +57 +00:04:59,460 --> 00:05:04,180 +أنا بقول لكم فيه مجال، ما تسألوني وين هو، هذا المجال موجود + +58 +00:05:04,180 --> 00:05:10,800 +من عند رفح لبيت حانون، كنت عليها، المجال جاي من هذه لأ + +59 +00:05:10,800 --> 00:05:13,080 +هجيت عند رفح، فيه مجال ولا ما...أنت بتقول لي فيه مجال + +60 +00:05:13,080 --> 00:05:16,140 +مهو المصدر وما فيش دوّة، أنا بقول لكم فيه مجال، أنا حاطّ + +61 +00:05:16,140 --> 00:05:21,260 +شعيرة، أنا في رفح شدّك فيّ أنا + +62 +00:05:21,260 --> 00:05:25,320 +بجيك فيه مجال، أنا جاي لك فيه مجال، هل المجال جاي من + +63 +00:05:25,320 --> 00:05:32,320 +الكرة؟ لأ، هذا المجال موجود، بالظبط، من أول سؤال + +64 +00:05:32,320 --> 00:05:35,560 +سألت، قلت له هو مين بيخلص ومين بيبدأ؟ لما أعطى + +65 +00:05:35,560 --> 00:05:38,020 +السؤال، بيقول لك، في عندك uniform electric field in + +66 +00:05:38,020 --> 00:05:41,260 +a region، لما أقول لك، فيه مجال كهربائي وأنا بدّيك + +67 +00:05:41,260 --> 00:05:46,140 +إياه، هو مش غيرك منه مصدره، تمام؟ هذا مصدر أنا + +68 +00:05:46,140 --> 00:05:50,140 +حاطّه كده هو، وطبعاً، بنبدأ، إحنا نميّز ما بين شغلة + +69 +00:05:50,140 --> 00:05:52,740 +نظرية وشغلة عملية، إنه هذا مجاله، وعشان كده + +70 +00:05:52,740 --> 00:05:56,730 +قلت لكم من المالا نهاية، شغلة مش مجردة، أي واحد أول ما + +71 +00:05:56,730 --> 00:05:59,930 +يقول مالا نهاية، يقول يا ولدي أنت حاطّ لي هناك اكتُوح + +72 +00:05:59,930 --> 00:06:02,550 +على آخر الدنيا ويقول لي فيه مجال، مش آخر الدنيا هي + +73 +00:06:02,550 --> 00:06:07,470 +لأ، المالا نهاية حوالينا، شغلة نسبية، فهمتوا إيش + +74 +00:06:07,470 --> 00:06:13,580 +الفرق؟ هشوف ده المثال السابق، وقلت لكم كرة هذه الكرة + +75 +00:06:13,580 --> 00:06:15,900 +لم تكن موجودة في مجالها، كل المجال كانت موجودة + +76 +00:06:15,900 --> 00:06:18,080 +منها، فأنا ذهبت ووضعت في الـBoundary Condition عند + +77 +00:06:18,080 --> 00:06:20,160 +أرماد ثومان لأنها لم تكن موجودة في المجال لأن + +78 +00:06:20,160 --> 00:06:24,160 +المجال كان موجود منها، أبعد عنها كثير، تمام؟ قلت + +79 +00:06:24,160 --> 00:06:29,120 +أنا وضعت الشحنة في رفح زي ما توّ قُلنا وصلتني، قلت + +80 +00:06:29,120 --> 00:06:33,200 +لو أنا في القطب الشمالي، هل تبقى في رفح موجودة؟ + +81 +00:06:33,200 --> 00:06:39,460 +لأ، إذن الشيء نسبي، تمام؟ إذا اتفقنا، المجال بدّي + +82 +00:06:39,460 --> 00:06:43,940 +يتشوّش عشان يتفق مع طبيعة المسألة، هذه مثل الـ sphere + +83 +00:06:43,940 --> 00:06:48,900 +وقال لي طيب أنا أذكركم عاد في مثال، في شغلة شرحتها + +84 +00:06:48,900 --> 00:06:50,980 +في الشطر الثاني، دائماً في شغلات مشروحة في + +85 +00:06:50,980 --> 00:06:54,860 +الشباتر وبيجيبش فيها أسئلة مباشرة لأنها مخدومة + +86 +00:06:54,860 --> 00:06:59,500 +لشغلات، إحنا لو إحنا بنرسم أو بنذكر أن الـ conductor + +87 +00:06:59,500 --> 00:07:03,640 +المجال جوا zero، ذاكرها، وبيقول لي لو كان في عندي هنا + +88 +00:07:03,640 --> 00:07:11,440 +مثلاً plate وحطيتها في مجال كهربائي منتظم، بولت على + +89 +00:07:11,440 --> 00:07:15,300 +طول...هنا شحنات سالبة وهنا شحنات موجبة، صح؟ + +90 +00:07:15,300 --> 00:07:20,460 +وبالتالي بتولد مجال عكس الأصلي، بتظهر الشحنات + +91 +00:07:20,460 --> 00:07:23,140 +تنتقل تنتقل، لما المجال اللي فوق بيساوي المجال اللي + +92 +00:07:23,140 --> 00:07:28,300 +تحت، وبالتالي المجال ده هو كده؟ zero، تمام؟ سؤالي لكم + +93 +00:07:28,300 --> 00:07:35,370 +الآن الـmetal هذه كانت مشحونة؟ لأ، لأ، طب لو أسألكم + +94 +00:07:35,370 --> 00:07:41,150 +الآن بعد ما هتعرفوا كده الشحنات الكلية؟ مجموع الشحنات + +95 +00:07:41,150 --> 00:07:46,270 +لأ، مجموع الشحنات، هي اتغيرت توزيعها لكن الشحنات ما... + +96 +00:07:46,270 --> 00:07:51,430 +ماجاتش شحنات جديدة، تمام؟ هذه بدّي أجيها، هذه مثل + +97 +00:07:51,430 --> 00:07:55,930 +sphere، بدّي أحطّ كرة وأشوفها؟ أحطّها، ما أحطّش، بيضلّوا + +98 +00:07:55,930 --> 00:07:58,510 +نفس العملية، أشوف أشيل الرسمة بعد + +99 +00:08:05,310 --> 00:08:12,550 +هذه المجالات، لو هذه المجالات لم تكن موجودة، هذا الخطّ + +100 +00:08:12,550 --> 00:08:16,930 +سيبقى موجوداً وهذا الخطّ سيبقى موجوداً وهذا الخطّ + +101 +00:08:16,930 --> 00:08:22,930 +سيبقى موجوداً وهذا الخطّ سيبقى موجوداً وهذا الخطّ + +102 +00:08:22,930 --> 00:08:23,910 +سيبقى موجوداً وهذا الخطّ سيبقى موجوداً وهذا الخطّ + +103 +00:08:23,910 --> 00:08:23,990 +سيبقى موجوداً وهذا الخطّ سيبقى موجوداً وهذا الخطّ + +104 +00:08:23,990 --> 00:08:25,030 +سيبقى موجوداً وهذا الخطّ سيبقى موجوداً وهذا الخطّ + +105 +00:08:25,030 --> 00:08:28,190 +سيبقى موجوداً وهذا الخطّ سيبقى موج... يرجع لانتظامه، هو + +106 +00:08:28,190 --> 00:08:31,710 +انحرف شوية في المنطقة اللي موجود فيها الـmetal غير + +107 +00:08:31,710 --> 00:08:36,410 +كده بتظهر إنه بتأثر؟ بتأثر، حلو، طبعاً طلعوا أنتم + +108 +00:08:36,410 --> 00:08:39,790 +جايبين إيش؟ كتبلوا E note باتجاه الـ K، يعني الـ Z axis + +109 +00:08:39,790 --> 00:08:44,010 +وينه تبعكم أنا؟ أفقي، إيه؟ لأنّ هاي شايفينه؟ بجيب لها + +110 +00:08:44,010 --> 00:08:50,610 +ده الـ Z، هاي الـ Z، الـ Z axis، إحنا دائماً عارفين أن + +111 +00:08:50,610 --> 00:08:56,270 +الفوق بيكون...بتكون، بنقلبه، تمام؟ أمّا هو هيك + +112 +00:08:58,030 --> 00:09:02,850 +وبالتالي الـ Theta تبعتي هي...خليني أقول إنه بده + +113 +00:09:02,850 --> 00:09:06,930 +شدة المجال عند هذه النقطة، هو بده شدة المجال أو... + +114 +00:09:06,930 --> 00:09:10,070 +احكي معايا يا بنت، كيان، أنت قلت لي كثر ما ممكن + +115 +00:09:10,070 --> 00:09:13,070 +تخجليش وبالتالي ما تحكيش معاه...ما تخجليش من أي + +116 +00:09:13,070 --> 00:09:18,190 +سؤال ولا شيء...بس عشان اللي معايا يعرف، تذكروا إنه + +117 +00:09:18,190 --> 00:09:21,810 +مش الـZ اللي بجنبي، يعني هذا مش X...Z هو الجهة، ولا + +118 +00:09:21,810 --> 00:09:26,150 +حاجة...ولا حاجة...بس هو أنا قاعد أبحث عن + +119 +00:09:26,150 --> 00:09:29,380 +علاقات Coordinates عشان أوريك إيش بيفرق على أي + +120 +00:09:29,380 --> 00:09:32,000 +coordinates بتشتغل؟ على الـ z بيفرق على أي coordinates + +121 +00:09:32,000 --> 00:09:40,780 +إيش هي دي؟ أو θ، spherical، أنا بدّي أسألك، لأنّ θ + +122 +00:09:40,780 --> 00:09:45,320 +الزوايا اللي بيعملها R مع مين؟ على الـ z، عشان كده + +123 +00:09:45,320 --> 00:09:49,680 +بتفرق، بدّي الـ z وين هو؟ متّ عليّ؟ طب هو دي اللي + +124 +00:09:49,680 --> 00:09:50,660 +هيكتب لي اتجاهي + +125 +00:09:50,660 --> 00:10:16,440 +(unintelligible) + +126 +00:10:16,970 --> 00:10:22,970 +هذا الحلّ ببداكم منه أنا، solution بيقول لي the general + +127 +00:10:22,970 --> 00:10:25,850 +solution of the potential outside the sphere is + +128 +00:10:25,850 --> 00:10:29,870 +هذه مش حالة، بـ last equation، أنا بدّيك جاهز، إيش + +129 +00:10:29,870 --> 00:10:35,670 +مهمّتك، الـG بـA وB، عشان الـG بـA وB بدّك الـ boundary + +130 +00:10:35,670 --> 00:10:42,150 +conditions، صح؟ منطقتك وين؟ outside، إيش حدودها؟ R + +131 +00:10:42,150 --> 00:10:48,510 +capital، وما لا نهاية؟ شوفوا أنا برضه دائماً بدّي أحكيها + +132 +00:10:48,510 --> 00:10:55,090 +وهذا بحكيها دائماً، هذه منطقة، لأنّ أنا مرة عملتها + +133 +00:10:55,090 --> 00:10:57,730 +لطلبة الماجستير في مصطفى، اسمه Quantum Mechanics + +134 +00:10:57,730 --> 00:11:02,300 +وقلت لهم عنها ودخلتوا في الامتحان ووجعتهم، لأنّه + +135 +00:11:02,300 --> 00:11:04,320 +بصيمة، إيش البصيمة؟ كان زمان في الـQuantum + +136 +00:11:04,320 --> 00:11:07,340 +Mechanics فيه دائماً أول boundary اللي كنا نكتب أن + +137 +00:11:07,340 --> 00:11:11,800 +الـR بيساوي zero، الشغلة لا تساوي ما لا نهاية، not + +138 +00:11:11,800 --> 00:11:15,200 +diverse، ذاكرينها؟ المرة دي عملناها تمام؟ كنا + +139 +00:11:15,200 --> 00:11:17,720 +نكتبها، كنا نكتبها، هي منطقتي، بدّي الشغل هنا، + +140 +00:11:17,720 --> 00:11:20,640 +الشغلة هنا، راحوا حطّوا الـ boundary اللي كنا، أول + +141 +00:11:20,640 --> 00:11:23,580 +boundary اللي كنا، حطّوا R بيساوي صفر، هل R بيساوي + +142 +00:11:23,580 --> 00:11:28,640 +صفر من منطقتي؟ هل هي حدّ؟ لو أنا قلت لكم هذه A وهذه B + +143 +00:11:28,640 --> 00:11:33,100 +وأنا بدّي الجهد بينها، وين حدود منطقتي؟ A وB، راح + +144 +00:11:33,100 --> 00:11:36,120 +يحطّوا لي أربع تساوي صفر، كيف يا سبايب بالامتحان؟ يا + +145 +00:11:36,120 --> 00:11:38,980 +عزيزي، وأنا أول مرة أجيب لكم يا سؤال، حليناها + +146 +00:11:38,980 --> 00:11:43,200 +كامل، أجوا، اللي هو أخذناها، أكثر علامة كانت خمسين + +147 +00:11:43,200 --> 00:11:47,960 +من مية، ضابط ماجستير، تمام؟ طلعوا يقولوا كيف واحد + +148 +00:11:47,960 --> 00:11:51,140 +من بناها؟ دمت قولت لكم إياها، وكلهم واحد من بناها، ومحطّ + +149 +00:11:51,140 --> 00:11:53,900 +أربع ثواني صفر، لنا، وبصينا أربع ثواني صفر في كلّ + +150 +00:11:53,900 --> 00:11:57,480 +الأمثلة موجودة، فكيف هذا بتفسرون عوضوا بناها؟ حطّها + +151 +00:11:57,480 --> 00:12:05,300 +أنها صفر، ولا وطارة، فحطّوها، تمام؟ عشان + +152 +00:12:05,300 --> 00:12:08,300 +كده بكرّر أنا دائماً boundary conditions بدّي أحدّد + +153 +00:12:08,300 --> 00:12:15,350 +منطقتي، حلو، توّ أنا وياكم، إيش حكينا؟ عند السطح قديش + +154 +00:12:15,350 --> 00:12:19,110 +الجهد؟ له اسم، أول كنت قلت constant، هي constant + +155 +00:12:19,110 --> 00:12:25,690 +كيه؟ بدّك بيه؟ بدّك سيه؟ بدّك إيه؟ constants مختلفين؟ + +156 +00:12:25,690 --> 00:12:29,670 +تمام، عند المالا نهاية...هي أول حدّ، الحدّ الثاني + +157 +00:12:29,670 --> 00:12:32,890 +مالا نهاية، عند المالا نهاية، بدّي أبعد كتير عن + +158 +00:12:32,890 --> 00:12:38,450 +المثال، المجال المفروض يظلّ زي ما هو بدون تشويش، صحّ + +159 +00:12:38,450 --> 00:12:44,170 +ولا لأ؟ المفروض المجال هو هذا، بدّيك إياه، صحّ؟ المجال + +160 +00:12:44,170 --> 00:12:48,290 +هيو...أو أنت بتقول لي المجال انحرف شوية حواليك + +161 +00:12:48,290 --> 00:12:51,650 +حوالي الـsphere، طب بعيد عن الـsphere ما هو uniform + +162 +00:12:51,650 --> 00:12:56,130 +مضطر، لأ يا ريم، من وين بدّينا؟ من المجال، وبقى وإحنا + +163 +00:12:56,130 --> 00:13:01,850 +هناك عند المالا نهاية قديش المجال موجود وقيمة + +164 +00:13:01,850 --> 00:13:05,430 +اللي أديتك، يعني إذا هذا وأنت بتقول لي المالا نهاية + +165 +00:13:05,430 --> 00:13:09,110 +حدّ من حدودي ولا لأ، قديش + +166 +00:13:11,390 --> 00:13:13,8 + +223 +00:17:34,740 --> 00:17:40,400 +أوي والله حقيقة بس صراحته إيش + +224 +00:17:40,400 --> 00:17:41,720 +بدك تحط الـ K شرطة؟ + +225 +00:17:44,000 --> 00:17:46,440 +خلّي .. خُطّ في بالك إنه K شرطة، وشوية شوية أنا + +226 +00:17:46,440 --> 00:17:50,100 +بستخلع، نقولها كده من أي حاجة؟ تمام، اعتبره K + +227 +00:17:50,100 --> 00:17:53,740 +شرطة عبارة من السؤال الجيد، يعني أنت بتضحك علينا. + +228 +00:17:53,740 --> 00:17:56,260 +مرة بتحطه K ومرة .. ومرة بتغير ومرة .. وكمان + +229 +00:17:56,260 --> 00:17:59,500 +بدك بتعمل، ما تضحكش علينا، هذا K؟ من وين علاقة أن + +230 +00:17:59,500 --> 00:18:08,060 +أنا نفسي قيادك؟ K شرطة يا ست؟ تمام، بدي + +231 +00:18:08,060 --> 00:18:13,010 +أدي من الـ second condition، طبعاً في سؤال مشروع، ليش + +232 +00:18:13,010 --> 00:18:18,270 +ما بيقوليش مين الـ first؟ قل لي الـ first، الـ R بيساوي + +233 +00:18:18,270 --> 00:18:20,910 +capital R و V بيساوي K، بيضعوا هنا capital R و + +234 +00:18:20,910 --> 00:18:24,430 +capital K، هتصير A و B زي ما هما، أنت حاجة تطلع + +235 +00:18:24,430 --> 00:18:28,750 +مجهولين في المعادلة، صح ولا لا؟ طبعاً لو أنا لحالي + +236 +00:18:28,750 --> 00:18:31,950 +ولا، ببدأ هيك، بشوف إيش الرجال ده بتديني لكن كده + +237 +00:18:31,950 --> 00:18:35,190 +بتطلع على التانية، بتطلع على التانية، إيش فيه في + +238 +00:18:35,190 --> 00:18:40,560 +التانية؟ R معروفة، بأعوض هنا R معروفة، إذا راح الـ B، + +239 +00:18:40,560 --> 00:18:44,560 +إيش ضل في المعادلة؟ D. إيه يا سلك؟ إذا الشغلة، + +240 +00:18:44,560 --> 00:18:47,940 +ما نبرة يعني، لكن لو التنتين طلعوا A و B، بحط + +241 +00:18:47,940 --> 00:18:50,580 +التنتين، وفي الآخر مثلاً عندي معادلتين major و + +242 +00:18:50,580 --> 00:18:53,560 +بشتغل عليهم، مظبوط ولا لأ؟ لكن إذا جيت إنه لأ، إذا + +243 +00:18:53,560 --> 00:18:55,920 +أنت بدأت في التانية، بتضيع واحد وبتجيب واحد، يا + +244 +00:18:55,920 --> 00:18:58,540 +سلك؟ حلو؟ تمام؟ + +245 +00:19:12,850 --> 00:19:19,230 +بلاش، إيش سويت؟ بيقول لي E not R Cos θ، Z شرطة، Z + +246 +00:19:19,230 --> 00:19:26,050 +شرطة بتساوي R قصّة من النهاية، هذا تم، روح A R قصّة L + +247 +00:19:26,050 --> 00:19:31,770 +PL Cos θ، حلو؟ بدي AL أنا؟ إحنا كل شغلتنا بدي AL و + +248 +00:19:31,770 --> 00:19:35,090 +BL ولا لأ؟ هاي AL في المعادلة، كيف أطلع الـ L اللي + +249 +00:19:35,090 --> 00:19:38,170 +هو جوه الصماشي؟ إيش التقنية اللي اتعلمتها من + +250 +00:19:38,170 --> 00:19:44,370 +أستاذكم؟ من الـ Delta، من الـ Delta معناته في خاصية + +251 +00:19:44,370 --> 00:19:51,030 +أنا بديك إياها وبقول لك PL of X، PL شرطة of X DX + +252 +00:19:51,030 --> 00:19:58,070 +يساوي 2 على 2L plus 1، Delta L شرطة، مظبوطك ولا لأ؟ + +253 +00:19:58,070 --> 00:20:03,410 +هذه خاصية بديك إياها، زي ما قلنا عن الـ Sin والـ Cos، + +254 +00:20:03,410 --> 00:20:07,530 +فيها قواص، إلها إثباتات، لكن في الآخر بصير تعطى + +255 +00:20:07,530 --> 00:20:12,130 +إلك، موجودة في متناول يديك، بعد ما تصير مشهورة، + +256 +00:20:12,130 --> 00:20:15,410 +وهذه مش متناول يديك. الآن إحنا اتعلمنا، هذه + +257 +00:20:15,410 --> 00:20:20,290 +ما ديتش علينا هيك، اتعلمناها من كتر حلوة الأمثلة، إن + +258 +00:20:20,290 --> 00:20:23,270 +أول ما أشوفها، دي كيف بتطلع في عقلي في الـ Summation؟ + +259 +00:20:23,270 --> 00:20:26,030 +قالوا إن والله الـ Summation بـ تضيّعها الـ Delta. + +260 +00:20:26,760 --> 00:20:30,180 +والتالتة موجودة بهذه الخاصية اللي بتكون معطاة + +261 +00:20:30,180 --> 00:20:34,620 +قدامي في السؤال وبالتالي .. مستحيل أنساها .. + +262 +00:20:34,620 --> 00:20:37,580 +مستحيل أنساها إلا إذا كان معايا ما أخدتش كخاصية + +263 +00:20:37,580 --> 00:20:40,040 +بالمرة، لو أنا في السنة الأولى، ما بتيجي ع بالي، حتى + +264 +00:20:40,040 --> 00:20:42,800 +لو أداني إياها، بقول ليش أنا أتقبلها، صح ولا لأ؟ + +265 +00:20:42,800 --> 00:20:46,040 +لكن إحنا هَجَتْقَشْها، استخدمناها عدة مرات، طب عشان + +266 +00:20:46,040 --> 00:20:51,400 +أستخدمها، إيش أسوي أول؟ هذه بينفع أحط محلها بـ 1 + +267 +00:20:51,400 --> 00:20:57,980 +طيب، هذه كيف واحد ما هي؟ بحطها K وأضربها في B0 + +268 +00:20:57,980 --> 00:21:03,900 +بنفع؟ بنفع .. بنفع .. المرة ذاك أنت ما ديتش .. + +269 +00:21:03,900 --> 00:21:06,980 +لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. + +270 +00:21:06,980 --> 00:21:07,060 +لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. + +271 +00:21:07,060 --> 00:21:09,140 +لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. + +272 +00:21:09,140 --> 00:21:11,200 +لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. + +273 +00:21:11,200 --> 00:21:11,580 +لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. + +274 +00:21:11,580 --> 00:21:13,220 +لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. لحظة .. + +275 +00:21:13,220 --> 00:21:18,920 +لحظة .. لحظة، multiply both sides by PL شرطة sin + +276 +00:21:18,920 --> 00:21:21,920 +θ دي، وعند integrate over dθ اللي هو التكنيك اللي + +277 +00:21:21,920 --> 00:21:26,140 +بنعمله دائماً، صح ولا لأ؟ يلا نشتغل .. ها .. هذه + +278 +00:21:26,140 --> 00:21:30,160 +صارت من بديهيات هذا الـ chapter أنه تكنيك رياضي + +279 +00:21:30,160 --> 00:21:33,900 +قاعدين نتعلموه، واللي مش عارف يسأل عشان نتعلمه. + +280 +00:21:33,900 --> 00:21:40,950 +هذا تكنيك لازم نعرفه، تدربنا بدل P بدل cos θ حطيت + +281 +00:21:40,950 --> 00:21:46,910 +P1، فايدتها؟ وبدل الـ K في P1 صارت في P0 وضربت في P + +282 +00:21:46,910 --> 00:21:55,150 +الشرطة، وكملت على D cos θ كل الأطراف، هكذا هي، صح؟ + +283 +00:21:55,150 --> 00:22:00,390 +هذه مش بتفرج عن هذه، بدل L حط واحد، صح؟ مش هذه الـ + +284 +00:22:00,390 --> 00:22:04,650 +L شرطة الأخيرة، هذه واحد الـ شرطة، والتانية صفر الـ + +285 +00:22:04,650 --> 00:22:10,070 +شرطة، إذا هذه مرة دي الـ L شرطة هنا، و Delta صفر الـ + +286 +00:22:10,070 --> 00:22:16,390 +وواحد الـ، طيب، حطينا 2 على 2L plus + +287 +00:22:16,390 --> 00:22:18,710 +one، 2 على 2L plus one، 2 على 2L + +288 +00:22:18,710 --> 00:22:25,140 +plus one، وحطينا هذه الـ Delta، ضيّعت الـ summation هنا + +289 +00:22:25,140 --> 00:22:28,940 +في Delta كانت تضيع الـ summation، صارت L شرطة، والـ L شرطة + +290 +00:22:28,940 --> 00:22:32,800 +حولتها لـ L، التكنيك اللي عملناه عدة مرات، هذه + +291 +00:22:32,800 --> 00:22:37,320 +ما فيه summation، الـ Delta، Delta، Delta قاعدة، وهذه ما فيه + +292 +00:22:37,320 --> 00:22:40,700 +summation، الـ Delta، Delta قاعدة، بس هنا الـ Delta ما ضلتش + +293 +00:22:40,700 --> 00:22:47,100 +قاعدة لأنها ضيّعت الـ summation، فهمتوا عليّ؟ تمام؟ + +294 +00:22:47,100 --> 00:22:54,910 +خلصنا، الآن أنت إيش بدك؟ بدك A's صح؟ بدي الـ A's، هاي + +295 +00:22:54,910 --> 00:22:58,690 +الـ A's، Al + +296 +00:22:58,690 --> 00:23:04,030 +ضيّعنا 2 على 2L plus 1 كلها، فصارت E not، طبعاً + +297 +00:23:04,030 --> 00:23:12,610 +هذه مع هذه مع هذه، أستغفر الله، روحوا، صارت AL + +298 +00:23:12,610 --> 00:23:20,950 +بيساوي E not، وهذا في R، وهنا R في المقام صارت 1-L + +299 +00:23:20,950 --> 00:23:30,610 +تمام؟ وهذه كانت plus، sorry، هذه ناقص واحد، وهذه + +300 +00:23:30,610 --> 00:23:36,170 +ناقص واحد، طلعت هيك، طيب، سؤال لكم الآن + +301 +00:23:40,320 --> 00:23:48,120 +نجاوبني يا داليا، A0، هذه AL، إيش يعني A0؟ إيش بتحطي + +302 +00:23:48,120 --> 00:23:55,840 +محل الـ L؟ هذه AL، بدي A0، إيش هحط محل الـ L؟ طيب يلا + +303 +00:23:55,840 --> 00:24:01,580 +عوضي، ناقص E0 R + +304 +00:24:01,580 --> 00:24:07,860 +السالب واحد، D1 ولا ناقص L؟ آه، تمام، Delta 01 + +305 +00:24:09,680 --> 00:24:23,120 +زائد KR، السالب صفر، صح، Delta .. قد إيش هذه يا داليا؟ + +306 +00:24:23,120 --> 00:24:26,980 +Delta صفر واحد، قد إيش؟ + +307 +00:24:26,980 --> 00:24:31,680 +واحد + +308 +00:24:31,680 --> 00:24:39,290 +Delta الـ الجيت، Delta الـ L شرطة بتساوي إما صفر أو واحد + +309 +00:24:39,290 --> 00:24:44,190 +صفر لو الـ L لا تساوي الـ L شرطة، واحد لو الـ L بتساوي الـ + +310 +00:24:44,190 --> 00:24:53,250 +L شرطة، هدول بتساوي؟ كده النتيجة؟ هدول بتساوي؟ هذه + +311 +00:24:53,250 --> 00:24:57,710 +روحوا، تصير صفر كده؟ + +312 +00:25:00,020 --> 00:25:09,100 +هي A0 اتفجناها؟ يلا يا ناس، نسمع A1، عوضي سالب E نقطة R + +313 +00:25:09,100 --> 00:25:17,280 +الصفر، Delta واحد واحد زائد KR السالب واحد، Delta واحد + +314 +00:25:17,280 --> 00:25:24,720 +صفر، هي + +315 +00:25:24,720 --> 00:25:27,900 +A1، نور بدي اتنين + +316 +00:25:31,810 --> 00:25:42,070 +أحكي، هذه سالب L، سالب L صفر + +317 +00:25:42,070 --> 00:25:46,490 +تصير صفر، واحد، بدي اتنين، هالجَّة دي شوف واعمليها و + +318 +00:25:46,490 --> 00:25:51,950 +قولي لي، طب + +319 +00:25:51,950 --> 00:26:00,560 +إيه تلاتة، و A4، كل الـ A جبتهم كلهم، جبتهم، A0 له قيمة + +320 +00:26:00,560 --> 00:26:05,180 +و A1 له قيمة، والباقي قيمتهم؟ صفر + +321 +00:26:05,180 --> 00:26:11,000 +هاي حالك إمتى؟ حالك بيقول في A0 و A1 و A2 و A3 و + +322 +00:26:11,000 --> 00:26:17,320 +A4، بس اتنين منهم قيم، والباقي كله؟ صفر، أمين؟ + +323 +00:26:17,320 --> 00:26:21,440 +فاهمين إيش بنسوي؟ تمام؟ هذه الخربشة + +324 +00:26:28,880 --> 00:26:36,180 +إذا بيقول لي A1 بتساوي ناقص E0، و A1 ناقص صفر بتساوي + +325 +00:26:36,180 --> 00:26:40,600 +K، والباقين إيش مالهم؟ and A L equal to zero for + +326 +00:26:40,600 --> 00:26:45,800 +all other L's for L greater than one، إذا إيش هذه + +327 +00:26:45,800 --> 00:26:50,940 +الجهود؟ خلصت من A's، A0 و A1 جبتهم، بس هدول كلهم + +328 +00:26:50,940 --> 00:26:54,240 +يصير جبتهم، مش الـ B's، فبالتالي ضلت الـ summation تحت + +329 +00:26:54,240 --> 00:26:59,320 +الـ B's ما عملتش فيه أي شيء، ماشي تمام؟ حلو، إذا هاي + +330 +00:26:59,320 --> 00:27:04,300 +جهدي، أجيب الـ B بتخلص شغلك، لنشوف الـ condition، أنت عملت + +331 +00:27:04,300 --> 00:27:07,680 +condition، ضايق condition، الـ condition إيش بيقول؟ + +332 +00:27:07,680 --> 00:27:12,320 +بيقول إن الجهد على السطح بيساوي ثابت، ثابت غير K + +333 +00:27:12,320 --> 00:27:17,580 +كذلك شرطة، عشان بديها طبعاً، بيقول لك سؤال مشروع، تمام + +334 +00:27:17,580 --> 00:27:20,780 +إذا now from the first condition + +335 +00:27:25,140 --> 00:27:28,360 +لما نتطلع يا جماعة عليها، وقالوا هذه K وهذه K + +336 +00:27:28,360 --> 00:27:32,680 +شرطة، نوّي اللي يكون هذا يمثل الجهد على السطح + +337 +00:27:32,680 --> 00:27:35,800 +الثابت اللي حاطيته هناك هو الجهد على السطح + +338 +00:27:35,800 --> 00:27:40,480 +فبالتالي بمشي كل شغلك إلا إذا K شرطة بتساوي K + +339 +00:27:40,480 --> 00:27:45,840 +فمن أول أحطها K، تمام، عدى بأفرجيك كيف كمان من هنا + +340 +00:27:45,840 --> 00:27:49,900 +لأنه بيجيك يقارنوا يقولوا هذه K هذه بيوان + +341 +00:27:49,900 --> 00:27:54,800 +كوساين فيتا، أنا كانت تمام؟ وهكذا بتشتغل، فبالتالي هذا + +342 +00:27:54,800 --> 00:27:57,980 +الثابت لازم يساوي الثابت، هذه المعادلة بتقول هيك يا + +343 +00:27:57,980 --> 00:28:01,060 +جماعة، المعادلة أن هذا الحد بيساوي الحد الأول اللي + +344 +00:28:01,060 --> 00:28:06,520 +هو P0، فبالتالي لازم يكون K، وأنا بتطلع ثوابت من + +345 +00:28:06,520 --> 00:28:10,700 +هنا في النهاية، تمام؟ إيش بدي يا بنات؟ إيش بدي الـ + +346 +00:28:10,700 --> 00:28:14,880 +gate؟ إيش يطلع؟ بدي الـ bees، الـ bee موجودة تحت + +347 +00:28:14,880 --> 00:28:17,260 +summation أو مش تحت summation؟ إيش الـ technique + +348 +00:28:17,260 --> 00:28:22,000 +اللي بتعلمها عشان تطلعها؟ عشان أطيّر الـ summation + +349 +00:28:22,000 --> 00:28:25,240 +بدي الدالة، الدالة هي الموجودة، الدالة هي + +350 +00:28:25,240 --> 00:28:30,660 +الموجودة هنا في صفة الـ bees، هاي الـ bees شايفينها + +351 +00:28:30,660 --> 00:28:35,480 +عشان أستخدمها بدي أضرب، أنت عندك بتحالة تانية؟ + +352 +00:28:35,480 --> 00:28:40,830 +تانية، كلكم يا عمكم، امتحان أبو دقيقتين وبخلص معاكم + +353 +00:28:40,830 --> 00:28:44,390 +موجود مدة محددة، مهمش، وبعدين بيديكوا وقتكم كامل + +354 +00:28:44,390 --> 00:28:48,670 +يعني أنا لأ عشر جيجا من الساعة اللي بتبدأ مش من + +355 +00:28:48,670 --> 00:28:53,290 +الساعة 8، مش من الساعة دي، عيش تمام، آه ما تخافش فـ .. و + +356 +00:28:53,290 --> 00:28:56,170 +بعدين على أدهش إن شاء الله بتكونوا موجودين، فعشان + +357 +00:28:56,170 --> 00:29:00,430 +كده، لازم أسوي، بدي أضرب كل المعادلة في PL الـ + +358 +00:29:00,430 --> 00:29:06,310 +شرطة وأكامل، إذا نفس التقنية، هذه K، بدي أحط محلها K + +359 +00:29:06,310 --> 00:29:14,770 +في PL صفر، في مشكلة؟ يلا، أنا رتبت طبعاً، هذه أصلاً + +360 +00:29:14,770 --> 00:29:17,970 +ضيّعتها، هذه وهذه راحت زي ما حكيت أنا وجمانة + +361 +00:29:17,970 --> 00:29:23,790 +ضيعناها، فضل زبّطها، قال لي الآن، now multiplying both + +362 +00:29:23,790 --> 00:29:28,330 +sides by PL شرطة sin θ and integrate، طلعت هيك + +363 +00:29:31,050 --> 00:29:37,630 +هذه بتطلع لـ DL بواحد، وهذه Delta L شرطة، مش + +364 +00:29:37,630 --> 00:29:43,010 +هيك اتفجناها؟ في summation هنا؟ هنا في + +365 +00:29:43,010 --> 00:29:46,190 +summation؟ يعني الـ Delta بدأت دورها قاعدة في + +366 +00:29:46,190 --> 00:29:49,650 +summation هنا؟ الـ Delta شغلتها إيش؟ تضيع الـ + +367 +00:29:49,650 --> 00:29:53,970 +summation، وبالتالي لما تيجي تعملها using the + +368 +00:29:53,970 --> 00:30:00,050 +orthogonality property، صارت هذه هي، حلو؟ + +369 +00:30:03,880 --> 00:30:09,640 +الآن زي ما حكينا، راحت الـ Summation، فهي بتقل، هاي + +370 +00:30:09,640 --> 00:30:14,080 +بتقل، تمام + +371 +00:30:14,080 --> 00:30:18,720 +بدي أطلع الآن B صفر، و B واحد، و B اتنين، و B + +372 +00:30:18,720 --> 00:30:28,860 +تلاتة، يلا يا عيال، B صفر صفر + +373 +00:30:28,860 --> 00:30:31,960 +طب B واحد + +374 +00:30:37,760 --> 00:30:41,260 +مظبوط هيك؟ كلام عنكم، امتحان، و ليش؟ طيب يعطيكم + +375 +00:30:41,260 --> 00:30:48,460 +العافية، طيب، من يجيب لي B2 يا هذا؟ + +376 +00:30:48,460 --> 00:30:52,480 +إيش + +377 +00:30:52,480 --> 00:30:59,540 +مصير عندك هنا؟ اتنين واحد كده؟ تلاتة واحد؟ أربعة + +378 +00:30:59,540 --> 00:31:05,070 +واحد؟ إذا أنا كم قيمة لـ B's بس طلعنا؟ بس هذه طبعاً + +379 +00:31:05,070 --> 00:31:09,250 +هذه روحها زي ما حكت، وأنا مظبوط، برجع بقول وين جهدك + +380 +00:31:09,250 --> 00:31:11,550 +أنت، بقول هاي جهدين، إحنا وصحّحت أنا وإياك اللي عندنا + +381 +00:31:11,550 --> 00:31:18,530 +من هالـ summation كلها، كم حد بدك؟ بس واحد اللي هو B + +382 +00:31:18,530 --> 00:31:24,550 +واحد، اللي هو بدل هذا حط B واحد على R تربيع، واحد زي + +383 +00:31:24,550 --> 00:31:29,650 +واحد، وهنا B واحد، B واحد، كده إيش؟ كوساين ثيتا، ما هو + +384 +00:31:29,650 --> 00:31:38,240 +هو P1، بيبقى P1 و P1، فهذا جبته، هذا cos θ، خلص الجهد ولا + +385 +00:31:38,240 --> 00:31:43,900 +لأ، خلص الجهد؟ خلص الجهد، تمام؟ برضه خلينا نرجع على + +386 +00: \ No newline at end of file diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/f5uvnTzNin8_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/f5uvnTzNin8_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..d953168c72796422a3e43ff79344ce73aab3b45f --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/f5uvnTzNin8_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3170, "start": 21.62, "end": 31.7, "text": "أذن بهذه القالية الـ Laplace equation حلنا احنا مثال وكان في المثال عبارة عن مثالين الـ sphere", "tokens": [10721, 8848, 1863, 39627, 24192, 25062, 6027, 10632, 2423, 39184, 2369, 6742, 5367, 11331, 1211, 8315, 1975, 5016, 8315, 50113, 6027, 4032, 41361, 8978, 9673, 12984, 6027, 6225, 3555, 9640, 3660, 18871, 50113, 6027, 9957, 2423, 39184, 16687], "avg_logprob": -0.3697916788932605, "compression_ratio": 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problem اللي بنفضل انه تكونوا حلتوها عشان نفهم + +4 +00:00:35,320 --> 00:00:40,120 +المواضيع هذا الشبتر اصل + +5 +00:00:40,120 --> 00:00:43,880 +هذا الشبتر انه كيف حل Laplace equation Laplace + +6 +00:00:43,880 --> 00:00:48,220 +equation عشان نتذكر احنا وياكم كيف كانت وإيش واضحة + +7 +00:00:50,340 --> 00:00:53,660 +نعمل recalling لـ Gauss's law Gauss's law هو الـ + +8 +00:00:53,660 --> 00:00:56,600 +differential form of Gauss's law بصيغته الجديدة + +9 +00:00:56,600 --> 00:01:00,260 +دلت ضد الـ E بتسوي روح على إبسلون نوت هجيت إيش + +10 +00:01:00,260 --> 00:01:03,540 +اللي بربط E في V؟ مين يذكرني القانون؟ القانون اللي + +11 +00:01:03,540 --> 00:01:09,800 +بربط E مع VE بيساوي سالب ال gradient لل V فبقولي + +12 +00:01:09,800 --> 00:01:15,660 +knowing that E بيساوي سالب دل ال V تما حطله محل ال + +13 +00:01:15,660 --> 00:01:20,320 +E لفوق E لتحت بيصير دل ضد الدل ولا لأ دل ضد الدل + +14 +00:01:20,320 --> 00:01:23,760 +إيش بتساوي؟دى التربيع اللى سمته لابلاس يعنى فصار + +15 +00:01:23,760 --> 00:01:28,420 +عندي دى التربيع ال V بتسوي رو على إبسلون نوت دى + +16 +00:01:28,420 --> 00:01:33,860 +التربيع ال رو بتسوي رو على إبسلون نوت هدى Poisson + +17 +00:01:33,860 --> 00:01:42,960 +equation تمام لو كانت إذا كانت + +18 +00:01:42,960 --> 00:01:47,180 +رو بتسوي زيرو بس في عندي معادلة هكتانية هدى بسموها + +19 +00:01:47,180 --> 00:01:51,110 +لابلاس equationهذه هي الـ Laplace equation + +20 +00:01:51,110 --> 00:01:55,750 +كتبوليها بالـ Cartesian coordinates هذه التحت + +21 +00:01:55,750 --> 00:02:00,630 +الأخيرة آه + +22 +00:02:00,630 --> 00:02:06,210 +كم ليه؟ + +23 +00:02:06,210 --> 00:02:09,610 +ذاكره؟ + +24 +00:02:09,610 --> 00:02:17,870 +مظبوط الحكمة أم لا؟ هذه هي المدح لهابديكي اياها بس + +25 +00:02:17,870 --> 00:02:23,250 +حكاسي .. صح بس هيك .. مظبوط؟ تمام دي التربيع ال V + +26 +00:02:23,250 --> 00:02:28,510 +equal to zero هذه معادلة عشان فيها تفاضل بيسموها + +27 +00:02:28,510 --> 00:02:32,630 +.. تعرفون دي تربيت إيش؟ معادلة تفاضلية .. معادلة + +28 +00:02:32,630 --> 00:02:36,820 +تفاضلية .. ماسمعتوش فيها بالمرأةdifferential + +29 +00:02:36,820 --> 00:02:43,120 +equation تمة بدي أحلها أنا و إياكم بدي أحلها نتحمل + +30 +00:02:43,120 --> 00:02:46,260 +بعض شوية بعيني الله إيش بنسوي كيف نحل ال + +31 +00:02:46,260 --> 00:02:48,940 +differential equation معلومات البسيطة بالنسبة تمة + +32 +00:02:48,940 --> 00:02:55,020 +بدي أحلها مرتينمرة one dimension و مرة بال two + +33 +00:02:55,020 --> 00:02:57,740 +dimensions لما يكون one dimension يعني لا هذه + +34 +00:02:57,740 --> 00:03:01,540 +موجودة ولا هذه موجودة بس تعتمد على X لما تعتمد على + +35 +00:03:01,540 --> 00:03:04,420 +X فقط هذه مش موجودة و هذه مش موجودة لما بصير دي + +36 +00:03:04,420 --> 00:03:07,200 +على دي Y هو Zero و دي على دي Z هو Zero هذه معناه + +37 +00:03:07,200 --> 00:03:11,640 +one dimensional يعني لا تعتمد على Y ولا على Z تمام + +38 +00:03:11,640 --> 00:03:16,980 +Laplace equation in one dimension في بعض المعادلات + +39 +00:03:16,980 --> 00:03:20,680 +بتعتمد .. أقولكم مثلا عشان بس انتوا شويه شويه + +40 +00:03:20,680 --> 00:03:27,410 +تجربوا معاياالجهود للكرة .. مين يذكرني فين؟ الجهود + +41 +00:03:27,410 --> 00:03:35,210 +للكرة .. KQ عليه .. KQ على أرض .. ذاكرينه؟ لو + +42 +00:03:35,210 --> 00:03:38,330 +اعتبرته سيركال كواردينيز .. علاقة كان كواردينيز + +43 +00:03:38,330 --> 00:03:38,790 +بيعتمد + +44 +00:03:42,550 --> 00:03:46,790 +هيو؟ لا تعتمدش لأعلى .. اه .. اذا V تعتمدش لأعلى θ + +45 +00:03:46,790 --> 00:03:50,990 +أو لأعلى في هيها تمام؟ اذا أحيانا في بعض المسائل + +46 +00:03:50,990 --> 00:03:54,390 +تعتمدش على التلاتة variables هدول تمام؟ عشان كده + +47 +00:03:54,390 --> 00:03:57,930 +بدي أحيلها ب one dimension فهذه ال one dimension + +48 +00:03:57,930 --> 00:04:01,670 +بس .. بس .. نأجل الفيزة شوية كده، مافيش حاجة + +49 +00:04:01,670 --> 00:04:05,370 +رياضية بقول لي Laplace equation in one dimension + +50 +00:04:05,370 --> 00:04:15,650 +بتساوي هدا هي تمام؟ انتبهولي يا بناتD A على DX + +51 +00:04:15,650 --> 00:04:22,110 +بتساوي سفر انسوا differential equation جدتش A A + +52 +00:04:22,110 --> 00:04:27,550 +بتساوي small a، constant خليني بدا أش A هذا، خليها + +53 +00:04:27,550 --> 00:04:31,250 +F خلينا نسميها، يمكن أحدها، أحدها، أحدها، أحدها، + +54 +00:04:31,250 --> 00:04:31,670 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +55 +00:04:31,670 --> 00:04:33,450 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +56 +00:04:33,450 --> 00:04:33,570 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +57 +00:04:33,570 --> 00:04:33,790 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +58 +00:04:33,790 --> 00:04:35,030 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +59 +00:04:35,030 --> 00:04:43,570 +أحدها، أحدها، أحدها، أأو جي احنا نصيب دي تربيع هذه + +60 +00:04:43,570 --> 00:04:50,150 +صارت دي جي على دي إكس من يجيب لي جي؟ أنا بدي اللي + +61 +00:04:50,150 --> 00:04:53,330 +ماياخدوش difference يعني انتوا ماتحقوش أيوة يلا + +62 +00:04:53,330 --> 00:04:57,930 +كيف بتثوي جي؟ إيش بتثوي؟ كم طرف إيه المعادلة؟ + +63 +00:04:57,930 --> 00:05:05,050 +مستحق بالجي؟ إذا بقدر أقول جي بتثوي ax ذائب ثابت؟ + +64 +00:05:05,050 --> 00:05:11,880 +مظبوط هيك ولا لأ؟ حلوإذاً هنا تلعب بقدر أقول V + +65 +00:05:11,880 --> 00:05:18,700 +بتساوي AX زائد B ما هي هذه الشيء هذه هي عبارة عن D + +66 +00:05:18,700 --> 00:05:27,460 +على DX D على DX V هذه بتساوي Zero الجثة هذا بقدر + +67 +00:05:27,460 --> 00:05:34,780 +أسميه إيه إذاً ال V بتساوي AX زائد B هي السلسلة + +68 +00:05:34,780 --> 00:05:38,760 +الشرشة نظرتك مش عاجبك + +69 +00:05:41,990 --> 00:05:49,190 +هيك تمام؟ إذا معناته V + +70 +00:05:49,190 --> 00:05:56,130 +بتساوي Ax زي V، إيه الحالة؟ صعيبة؟ مش صعبة، هاي + +71 +00:05:56,130 --> 00:05:58,410 +الـdifferential equation هاي الـdifferential + +72 +00:05:58,410 --> 00:06:00,450 +equation، هاي عاد الـdifferential equation، هاي + +73 +00:06:00,450 --> 00:06:04,570 +الـC لأ، لكن بالرغم من سهولتها، هذه الحالة مش + +74 +00:06:04,570 --> 00:06:10,040 +مطلوب منكم تجيبوا، أنا بعطيكم إيه يعنيفي حالة الـ + +75 +00:06:10,040 --> 00:06:14,000 +differential equation أنا بعطيكم مياه طب وش ضايق؟ + +76 +00:06:14,000 --> 00:06:18,560 +أنا بدي V فهنجبنه، إيش ضايق الـG؟ بقولكم إيش ضايق + +77 +00:06:18,560 --> 00:06:25,500 +الـG؟ بدي A و Bبدي a و b a و b constant هدول بديك + +78 +00:06:25,500 --> 00:06:29,980 +تجيبهم عشان تطلع YouTube صحي اذا بالرغم من انه + +79 +00:06:29,980 --> 00:06:32,860 +بأفترض طلاب سنة تالتة اللي بيجي و بياخدوا course + +80 +00:06:32,860 --> 00:06:35,900 +ماخدين differential equation بالرغم من افتراضي + +81 +00:06:35,900 --> 00:06:40,740 +لذلك لكن الحل انا بعطيه بديش يوم حلو بديش جميلة + +82 +00:06:40,740 --> 00:06:45,440 +طول تمام؟بس الان بدي اياكم انتوا لو مااخدتوش + +83 +00:06:45,440 --> 00:06:48,200 +differential equation تقولوا اه فهمنا طبعا مش هقدر + +84 +00:06:48,200 --> 00:06:51,820 +افهمكم كلشي كلشي قدام فيه شغلات متقدمة بنلحق عليكم + +85 +00:06:51,820 --> 00:06:56,140 +شوية شوية يعني و تاخدوا الحد الأدنى من الشغلة و + +86 +00:06:56,140 --> 00:06:59,640 +بعدين تلحقوا لما تاخدوها بالتفصيل تتعاملوا معاها + +87 +00:06:59,640 --> 00:07:03,380 +كمان مش هقدر اخدش ادي course differential equation + +88 +00:07:03,380 --> 00:07:08,140 +بس بنقنعكم يعني شوية تقولوا المهم تحزوا راسكم و بس + +89 +00:07:08,140 --> 00:07:10,620 +لا لو لحظة واحد و بعدين تفرضوا هوريهم في الدار + +90 +00:07:11,370 --> 00:07:15,770 +فهمتوا؟ مافهمتوا ايش التحريك؟ تمام هذه سهلة .. هذه + +91 +00:07:15,770 --> 00:07:21,530 +سهلة لسه مادخلناها في البيئة شدية with A and B are + +92 +00:07:21,530 --> 00:07:24,450 +constants to be determined from the boundary + +93 +00:07:24,450 --> 00:07:27,190 +conditions من أين بده أجيبهم؟ بدك نجيبهم أعطاية + +94 +00:07:27,190 --> 00:07:31,270 +عشان أجيبهم صح ولا لأ؟ هذه فيه أشياء الجهود في + +95 +00:07:31,270 --> 00:07:35,650 +منطقة ما في منطقة ما اعطيني معلومات بقدر أجيبلك + +96 +00:07:35,650 --> 00:07:40,210 +الثوابت متفقين هيك؟تمام؟ كي بيجي السؤال؟ بيجي + +97 +00:07:40,210 --> 00:07:44,470 +السؤال كالتالي ها example و أنا بفرجكم كيف بجيب + +98 +00:07:44,470 --> 00:07:48,110 +أسئلتي أنا بقوللي بديني كل نص السؤال too large + +99 +00:07:48,110 --> 00:07:52,630 +conducting plates too large conducting plates + +100 +00:07:52,630 --> 00:07:56,970 +تمام؟ oriented normal to the x-axis زي ما تشايفين + +101 +00:07:56,970 --> 00:08:01,710 +هيك ال x-axisand kept at potential V1 and V2 + +102 +00:08:01,710 --> 00:08:06,370 +بيقوللي الأولانية جهدها قداش V1 هذا مقطع والتانية + +103 +00:08:06,370 --> 00:08:13,590 +جهدها قداش V2 أشون find V and E between the plates + +104 +00:08:13,590 --> 00:08:18,890 +وين بدوياها between the platesتمام انا في السؤال + +105 +00:08:18,890 --> 00:08:22,750 +.. هذا مثال في السؤال ايش بعمل؟ بقول it is known + +106 +00:08:22,750 --> 00:08:28,990 +that أو you are given علما بأنه V بتساوي EX زاد B + +107 +00:08:28,990 --> 00:08:34,070 +بكمل هيك سؤالي تمام هيك؟ مش واحد يقولي دي عقود حل + +108 +00:08:34,070 --> 00:08:38,890 +والله ماخد فرن شركويتش، ماتحلش، هي الحال جاهزطبعا + +109 +00:08:38,890 --> 00:08:44,710 +إذا أنا دائما سؤالي على طول بألاحقه بإن الحل أنا + +110 +00:08:44,710 --> 00:08:48,190 +بديكي يعرفه it is given that the potential in + +111 +00:08:48,190 --> 00:08:55,380 +between given by this equation وكمل كذا نكملأحنا + +112 +00:08:55,380 --> 00:08:58,700 +اتفقنا بال D A و B بال D A و B من ال boundary + +113 +00:08:58,700 --> 00:09:02,840 +conditions انتبهولي شوية عشان هذه you keep تتكرر + +114 +00:09:02,840 --> 00:09:04,940 +في أكتر من مسافر الفيزيا .. الحكاية ال boundary + +115 +00:09:04,940 --> 00:09:08,060 +condition و اللي ماخديني quantum أو اللي بياخدوا + +116 +00:09:08,060 --> 00:09:10,920 +.. أخدوا quantum برضه بتمر عليهم .. المهم في أكتر + +117 +00:09:10,920 --> 00:09:16,980 +من منطقة كلمة boundary إيش معناتها؟ حدود ببعض .. + +118 +00:09:16,980 --> 00:09:21,850 +هجيت أنا بدي جهود وين؟هو طالب في المنطقة اللي + +119 +00:09:21,850 --> 00:09:25,350 +بينهم بقول هذه المنطقة لها حدود ولا مالاش حدود؟ + +120 +00:09:25,350 --> 00:09:29,170 +تنكبولي على حدودها واضح إنه طبعا أن نمت السؤال إنه + +121 +00:09:29,170 --> 00:09:34,370 +يعتمد على ال X حدود منطقتي X بيساوي أيش و X أيش + +122 +00:09:34,370 --> 00:09:41,630 +بيساوي؟ 0 و A و D برا إذا إذا كدت تتعرفلي عند X + +123 +00:09:41,630 --> 00:09:45,990 +بيساوي 0 جديش V و عند X بيساوي D جديش V تكتبهم خلص + +124 +00:09:45,990 --> 00:09:51,100 +مص السؤالطيب هجيت عند x بيساوي 0 مش انا هنا جديش V + +125 +00:09:51,100 --> 00:09:56,640 +V واحد صعب اجيبها اذا ممكن اكتب at x بيساوي 0 V + +126 +00:09:56,640 --> 00:10:00,060 +بيساوي V1 و at x بيساوي D هاي ال boundary + +127 +00:10:00,060 --> 00:10:03,480 +condition تعوني هاي ال boundary condition تعوني + +128 +00:10:03,480 --> 00:10:08,360 +جديش الجهد عند الحدود حدود منطقتي و المنطقة بيناها + +129 +00:10:08,360 --> 00:10:12,600 +و بيعطينا إياها إذا بيقوللي V بيساوي X VS B أنا + +130 +00:10:12,600 --> 00:10:16,760 +اعطيتهابلاستيكويشن حليتها و مابديش اقعد احد + +131 +00:10:16,760 --> 00:10:19,840 +differential equation من اول نيجي اول to find a + +132 +00:10:19,840 --> 00:10:24,580 +and b we have is a first boundary condition at x + +133 +00:10:24,580 --> 00:10:28,280 +مساوة صفر هذه اول حد في المنطقة بقوله v مساوة v + +134 +00:10:28,280 --> 00:10:33,800 +واحد طيب يالا نطبقها نيجي نطبق ايش ممكن تحط في هذه + +135 +00:10:33,800 --> 00:10:37,920 +المعادلة مش هذه المعادلة سابقة المفقول لكل النقاط + +136 +00:10:37,920 --> 00:10:42,280 +اللي جوامن أين إلى أين؟ هادي و هادي و هادي و هادي + +137 +00:10:42,280 --> 00:10:51,800 +و هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +138 +00:10:51,800 --> 00:10:52,120 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +139 +00:10:52,120 --> 00:10:52,660 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +140 +00:10:52,660 --> 00:10:58,120 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +141 +00:10:58,120 --> 00:11:05,120 +هادي و هB بيتساوى V واحد و V واحد ما هيمعطى قيمة + +142 +00:11:05,120 --> 00:11:13,000 +إذا هاي أول حاجة V بتساوى V واحد إذا معناته عوض + +143 +00:11:13,000 --> 00:11:17,860 +طلعت عندك بي بتساوى V واحد باجي بقول إذا هذا بطل + +144 +00:11:17,860 --> 00:11:22,620 +اتحك الحل صار بالساوية إيه X ذات بي ولا ذات V واحد + +145 +00:11:22,620 --> 00:11:29,560 +خلاص بي بتساوى V واحد اظهر عليها إيه حلو لما X + +146 +00:11:29,560 --> 00:11:35,520 +تساوي Dبكون V ايش لازم تساوي؟ V2 بدي بنفس المعادلة + +147 +00:11:35,520 --> 00:11:41,240 +اللي بقول V2 بتساوي A في D زائد V1 ايش بدك انت؟ + +148 +00:11:41,240 --> 00:11:47,560 +بدي ايه؟ ببترجوا من هنا ان A بيساوي V2 نقص V1 على + +149 +00:11:47,560 --> 00:11:55,900 +D صح ولا؟ خلص الحل إذا V بتساوي V2 بدل A نقص V1 + +150 +00:11:55,900 --> 00:12:06,810 +على D في X زائد V1اللي هي بي .. خلص الحاجة أي + +151 +00:12:06,810 --> 00:12:11,770 +استفسار وهيجعجك في + +152 +00:12:11,770 --> 00:12:22,950 +إشي مش واضح، إيش هو؟ هتجي سهل، تخجليش، ماشي الأمور + +153 +00:12:24,100 --> 00:12:27,520 +ثبتين جبتهم من الـ Boundary Condition دي الباردكم + +154 +00:12:27,520 --> 00:12:31,960 +إحنا هادا سلّم بدنا نطلع أطابق عكر عكر بدنا نطلع + +155 +00:12:31,960 --> 00:12:36,180 +سلّم سلّم درجة درجة وكل درجة بدنا نتأكد إنها صلبة + +156 +00:12:36,180 --> 00:12:40,620 +جدا تحت رجلنا عشان نصلح أحنا حكينا هذا chapter من + +157 +00:12:40,620 --> 00:12:43,800 +أهم الشباجة اللي موجود فإن هذا اللي ورا بيصير + +158 +00:12:43,800 --> 00:12:46,280 +تحصيل حاصل مافيش معلومات كتير في chapter 4 + +159 +00:12:46,280 --> 00:12:50,380 +وبالتالي كل درجة بدنا نطلعها كلكم تعرفوا إنه + +160 +00:12:50,380 --> 00:12:52,980 +طلعتوها زي ما يقولوها على أرض صلبة + +161 +00:12:55,930 --> 00:13:03,770 +فهمنا؟ لا افترض يقول إن جالك أوجي daily الجهد أقل + +162 +00:13:03,770 --> 00:13:08,410 +من zero، صح؟ معناته لازم يعطيني حدين، إيش حدود + +163 +00:13:08,410 --> 00:13:12,070 +منطقتك اللي جابلي ال zero؟ سالب من النهاية، و + +164 +00:13:12,070 --> 00:13:14,490 +الصفر، إذا لازم يقول عندي السلب من نهاية، إيش هو + +165 +00:13:14,490 --> 00:13:21,320 +وضع الجهد؟بتكون جايلي هذه المعلومة أو فاهمها + +166 +00:13:21,320 --> 00:13:25,800 +بالظبط بالظبط إذا دائما المنطقة اللي بدى يحكيلك + +167 +00:13:25,800 --> 00:13:30,760 +إياها أول حاجة تحدّنها حدّينها حدّينها وبيكون واضح + +168 +00:13:30,760 --> 00:13:35,820 +الأمور إنه القيم مضحة زي إما zero من معلومة عامة + +169 +00:13:35,820 --> 00:13:41,300 +أوالمعطيات بتعطيها تمام هيك؟ اذا المنطقة ما زالت + +170 +00:13:41,300 --> 00:13:44,980 +داكي اياها وغيرها بده يقولك عنها لو كانت جالك على + +171 +00:13:44,980 --> 00:13:50,840 +يمين التانية من دي لمانا نهاية هي حدودها تمام هيك؟ + +172 +00:13:50,840 --> 00:13:52,260 +حلو غيرهم + +173 +00:14:00,960 --> 00:14:04,800 +إذا بعد ما جبت B قال لي إذا هي V اللي أنا عشان + +174 +00:14:04,800 --> 00:14:08,400 +أجيب second boundary condition قال لي X بيساوي D و + +175 +00:14:08,400 --> 00:14:13,820 +V بيساوي V2 فلما جبتها عوضت طلعت منها A وهي طلعت V + +176 +00:14:13,820 --> 00:14:23,180 +بدي أرجع لك .. بدي E أه .. أه .. أه .. أه .. أه .. + +177 +00:14:23,180 --> 00:14:23,280 +أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه + +178 +00:14:23,280 --> 00:14:23,520 +أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه + +179 +00:14:23,520 --> 00:14:24,460 +.. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. + +180 +00:14:24,460 --> 00:14:27,280 +أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه + +181 +00:14:31,730 --> 00:14:38,170 +أول حوالي ليها هذي بالصيف سالب D على DX V باتجاه + +182 +00:14:38,170 --> 00:14:46,970 +الـ I طبعا ليش مش partial؟ لأنه بس variableبس + +183 +00:14:46,970 --> 00:14:49,470 +variable بيبطل معنى لل partial هي partial ع + +184 +00:14:49,470 --> 00:14:52,530 +partial x ولا لأ؟ لكن ال partial بيبطل له معنى هو + +185 +00:14:52,530 --> 00:14:55,510 +لما يكون في x و y و z أو x و y على الأقل بقول + +186 +00:14:55,510 --> 00:14:59,130 +partial لكن لما يكون variable بيبطل فيه فرق ما بين + +187 +00:14:59,130 --> 00:15:06,610 +ال partial طب يلّا نشتغها دي بتساوي v1-v2 على d + +188 +00:15:06,610 --> 00:15:12,430 +اتجاه ال I لأ + +189 +00:15:12,430 --> 00:15:13,930 +و في سليبية بس + +190 +00:15:17,510 --> 00:15:26,750 +هي ايه؟ V1-V2 من اتجاه هذا V1 + +191 +00:15:26,750 --> 00:15:32,330 +-V2 + +192 +00:15:32,330 --> 00:15:38,870 +من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا + +193 +00:15:38,870 --> 00:15:39,250 +V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من + +194 +00:15:39,250 --> 00:15:39,690 +اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1 + +195 +00:15:39,690 --> 00:15:41,210 +اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1 + +196 +00:15:41,210 --> 00:15:46,250 +-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتج + +197 +00:15:47,290 --> 00:15:52,850 +ممتاز .. ممتاز .. سؤال مركزي إيش علوان الشبطة؟ + +198 +00:15:52,850 --> 00:15:57,810 +special technique بدي أتعلم تكنيكي جديدة قديم في + +199 +00:15:57,810 --> 00:16:04,330 +هالجهود مظبوط ولا لأ؟ حاجات .. columns له حفظها V + +200 +00:16:04,330 --> 00:16:11,290 +بتساوي تكامل DQ على R script صح؟ وفي قانون V + +201 +00:16:11,290 --> 00:16:18,490 +بتساوي ساوي تكامل E.DLهذا له مشاكله وهذا له مشاكله + +202 +00:16:18,490 --> 00:16:24,630 +صح طيب بدي قوانين جديدة لأتعلم هو بدي هاي قوانين + +203 +00:16:24,630 --> 00:16:30,270 +جديدة إذا أحيانا السؤال لها باستخدام هذا القوانين + +204 +00:16:30,270 --> 00:16:33,130 +جديد أحله ولا باستخدام هذا القوانين جديد أحله + +205 +00:16:33,130 --> 00:16:37,410 +فلازم انا أكون فيه عندى أكتر من تكنيك أكتر أحل فيه + +206 +00:16:37,410 --> 00:16:40,850 +هذا تكنيك جديد و دايما يا غديل لازم تفهمي شغلة + +207 +00:16:40,850 --> 00:16:45,790 +معينةكخلّيني أقول تأصيل علمي التأصيل العلمي ليش + +208 +00:16:45,790 --> 00:16:48,690 +بيقول أنك إنت لما تجيبلي دايما طريقة جديدة أول + +209 +00:16:48,690 --> 00:16:52,520 +حاجة تطبقها على شغل أنا معرفة علمها بقدر الطرقانت + +210 +00:16:52,520 --> 00:16:55,780 +عليا؟ فلما تيجي انت تجيب المثال بيجي سؤالك طب انا + +211 +00:16:55,780 --> 00:16:58,740 +بحله بطريقة تانية طب اه بس انا بدأ فارجيك انه برضه + +212 +00:16:58,740 --> 00:17:01,720 +الطريقة الجديدة اللي بتتعلميها بيجيب نفس النتيجة + +213 +00:17:01,720 --> 00:17:05,420 +عشان تجوي طريقة صحيحة فهاجد فيه بيجي سؤال طب انا + +214 +00:17:05,420 --> 00:17:08,360 +مش قادر احله بالطريقة الأولى بأركز ان احله بطريقة + +215 +00:17:08,360 --> 00:17:12,020 +تانية ولا لا لأنه اخاص اعمل test عليها و اتأكدت + +216 +00:17:12,020 --> 00:17:15,080 +فانت تجي اذا انا بتعلم ده على الطريقة الجديدة عشان + +217 +00:17:15,080 --> 00:17:22,520 +احل ذي بواسطة حلم عجب تفضليه بدون لا تكاملتمام؟ + +218 +00:17:22,520 --> 00:17:24,800 +إذا عرفت الاشياء اللي روحنا لها .. روحنا لها لأن + +219 +00:17:24,800 --> 00:17:27,380 +في بعض الأسئلة لما نستطيع الاستخدام هذا القانون أو + +220 +00:17:27,380 --> 00:17:32,640 +هذا القانون و بعدين بقى طبعا و احنا قدام كتر أسئلة + +221 +00:17:32,640 --> 00:17:35,740 +زي هيك عشان نتذكريني اضنى و أقولك لو استخدمنا + +222 +00:17:35,740 --> 00:17:39,700 +الطريقة هذه تنفع و تنفعش فاهمت عليك كيف؟ تمام + +223 +00:17:39,700 --> 00:17:40,120 +غيرها + +224 +00:17:45,960 --> 00:17:50,720 +لبلاس إيكويشن في إتوا دايميشن في إتوا دايميشن .. + +225 +00:17:50,720 --> 00:17:55,960 +إتوا كتبتكم أنا راح أتزد إيش ضار عندي؟ X و Y .. X + +226 +00:17:55,960 --> 00:17:59,440 +و Y طبعاً هذا الـ function الأن يعتمد على two + +227 +00:17:59,440 --> 00:18:03,860 +variables هل بدي أحور ال partial لـD؟ مقدرش، + +228 +00:18:03,860 --> 00:18:08,180 +بيقوللي خلّينا نبدأ على الـ Cartesian Coordinates، + +229 +00:18:08,180 --> 00:18:12,010 +برضه نضلنا في الـ Cartesian Coordinatesبيقول لي FV + +230 +00:18:12,010 --> 00:18:16,810 +عايز تعتمد فيك؟ X و Y اذا كان variable؟ two + +231 +00:18:16,810 --> 00:18:21,610 +variables جالي لابلاسيا اللي توي نجلتني ياهو ده + +232 +00:18:21,610 --> 00:18:24,830 +فارهك بال two dimension بس جولك D ولا جولك + +233 +00:18:24,830 --> 00:18:32,350 +partial؟ partial بدي أحلو .. بدي أحلو طيب هو أنا + +234 +00:18:32,350 --> 00:18:38,000 +ال ordinary اللي هو ال exact يعني لما كانت Dتربيع + +235 +00:18:38,000 --> 00:18:44,800 +على دي X تربيع مش partial هذا إله course كامل + +236 +00:18:44,800 --> 00:18:48,420 +أخدوه وسموه ordinary differential equation وعلوه + +237 +00:18:48,420 --> 00:18:52,120 +وطب لما يكون partial وقعد نصيب أقبع إذا هداك بده + +238 +00:18:52,120 --> 00:18:56,360 +course إذا هدا إيش بده؟ هدا بده تكنيكي جديد طبعا + +239 +00:18:56,360 --> 00:19:00,280 +طبعا الرياضيات إيش جالوا؟ جالوا إذا بتقدر أنت ال + +240 +00:19:00,280 --> 00:19:06,720 +partial اتحولها لدي مش partial بتجربصح ولا لأ؟ + +241 +00:19:06,720 --> 00:19:13,160 +بتجرب نيجي لمبدأ برضه تأصيل علمى يعني هو مافيش + +242 +00:19:13,160 --> 00:19:17,260 +اتعاون مشاكل بأصفر واحد ماينقصل تمام تأصيل علمى + +243 +00:19:17,260 --> 00:19:20,440 +كيف نقصل علمى؟ بيقولك انت ايش بدك؟ مش انت بدك + +244 +00:19:20,440 --> 00:19:24,760 +مجهول؟ اللي هو فيه، من تنسبك تجيبها دي؟ عارفها ولا + +245 +00:19:24,760 --> 00:19:28,980 +مجهولة؟ مجهولة و زمان العرب ايش قالوا؟ قالوا انت + +246 +00:19:28,980 --> 00:19:32,830 +بدك تاكل عنقب ولا بدك تجاتب اناطوربدي اناكل عينيها + +247 +00:19:32,830 --> 00:19:39,150 +مهم قال له V جيبليياها ايش تسوي فيها انت حر قال ها + +248 +00:19:39,150 --> 00:19:43,130 +دي V مازالها مجهولة وانت مش عارفها خمّط عينك شوية + +249 +00:19:43,130 --> 00:19:48,190 +بدي اقول ها دي V بدي افرضها بدي افرضها ما انت ما + +250 +00:19:48,190 --> 00:19:52,210 +ناس مش عارفها ولا انت عارفها ايش بدي انا ساويهابدي + +251 +00:19:52,210 --> 00:19:55,290 +أفرضها عبارة عن حاصل ضرب two functions هذه + +252 +00:19:55,290 --> 00:20:00,070 +function تعتمد على two variables بدي أفرضها حاصل + +253 +00:20:00,070 --> 00:20:03,610 +ضرب two functions function بدي أسميه capital X + +254 +00:20:03,610 --> 00:20:07,990 +يعتمد بس على X وfunction capital Y يعتمد على Y + +255 +00:20:07,990 --> 00:20:12,250 +حاجة تانيجي بتقولوا أنتوا أنا بدي V في الأول بدي V + +256 +00:20:12,250 --> 00:20:16,270 +لو جيبت X وY بكون جيبت بدي Y ولا لا؟ أش بسوي + +257 +00:20:16,270 --> 00:20:27,070 +بضربهم بعض صح ولا لأ؟ إذن بدل رد يهوداإذا .. إذا + +258 +00:20:27,070 --> 00:20:34,440 +urgent رضيك طيب أهإذاً معناته طبعا يا بنات انتوا + +259 +00:20:34,440 --> 00:20:36,460 +اللي أخدتوا mathematical physics عشان تعرفوا انا + +260 +00:20:36,460 --> 00:20:39,660 +وين رايح انا هذه separation of variables سمعتوا؟ + +261 +00:20:39,660 --> 00:20:42,680 +عارفين يعني وين رايح انا طيب انا فاتحملوني لأن انا + +262 +00:20:42,680 --> 00:20:46,160 +قاعد شويه شويه بمشيهم ده ده ده للبنات لأنه أول مرة + +263 +00:20:46,160 --> 00:20:51,580 +يسمعوا فيها كده أسلوب تمام؟ إذا رياضية حاجة مجهولة + +264 +00:20:51,580 --> 00:20:55,380 +تستطيع تفرضها اللي بدك إياها ماهي مجهولة مايبقى + +265 +00:20:55,380 --> 00:21:00,100 +دلوقت مجيب المجهول كم واحد جسمه مجهول إيه؟إذا + +266 +00:21:00,100 --> 00:21:04,820 +تكسيمه بتقدر تتغلب عليه و تجيبي المجهول ايه؟ صح و + +267 +00:21:04,820 --> 00:21:08,880 +عافية يعني نفترض ان المجهول اعتبر طوأ A زاد B و + +268 +00:21:08,880 --> 00:21:11,660 +جيبت A و B و جبت مجهولك ولا ما جبتش مجهولك؟ جبت + +269 +00:21:11,660 --> 00:21:14,960 +مجهولك، إذا أنا بدي أضحك على المعادلة دي حاجة عشان + +270 +00:21:14,960 --> 00:21:19,180 +أقدر أتعامل معاها، طب هالي لما أعملها هيك إيش بدي + +271 +00:21:19,180 --> 00:21:23,580 +أسوي؟ و إيش بصير معايا؟ يلّا خطوة خطوة أنا وياكم، + +272 +00:21:23,580 --> 00:21:31,320 +انشوفبيقول لي let z المجهول اللي أنا مش عارفه بدي + +273 +00:21:31,320 --> 00:21:34,300 +ألعب فيه كيف ما بدي و محدد بيقولي وين أنت؟ مانهاش + +274 +00:21:34,300 --> 00:21:37,900 +قيمة قولت عبارة عن capital X في capital Y طبعا إيش + +275 +00:21:37,900 --> 00:21:42,500 +صار معايا الآن؟ بدي أجيب هذين و أحطهم هنا لما أجيب + +276 +00:21:42,500 --> 00:21:49,280 +هنا عايش مفاضل أنا؟ بقدر أطلع Y؟ بطلع Y برا فبتصير + +277 +00:21:49,280 --> 00:21:56,490 +هذه capital Y دار شل إيش اللي دال؟الـ X بتعتمد على + +278 +00:21:56,490 --> 00:22:00,470 +الـ Convergent خلّيها بارشلون و ممكن أحليها D و + +279 +00:22:00,470 --> 00:22:05,030 +أخلّيها D capital X على D small X زائد .. هذي إيه + +280 +00:22:05,030 --> 00:22:11,290 +الشخص اللي طالع برا؟ الـ Capital X D capital Y على + +281 +00:22:11,290 --> 00:22:14,690 +D و .. طبعا تربيع .. تربيع .. تربيع .. تربيع .. + +282 +00:22:14,690 --> 00:22:15,250 +بتسويس .. + +283 +00:22:19,770 --> 00:22:25,170 +طبعا اول حاجة ايه سويت؟ تغلبت على اكبر مشكلة ان ال + +284 +00:22:25,170 --> 00:22:30,130 +partial بطلت partial صحيحك ولا لا؟ بطلت partial + +285 +00:22:30,130 --> 00:22:36,750 +خلاص لان هذه فقط تعتمد على X وهذه فقط تعتمد على Y + +286 +00:22:36,750 --> 00:22:43,270 +وبالتالي ال partial بطلت partial وعملت هيك طبعا + +287 +00:22:43,270 --> 00:22:46,810 +احنا بنسميها طريقة separation of .. ليه اسمناها + +288 +00:22:46,810 --> 00:22:51,590 +هيك؟بدنا نفسه طب هي مش مفسوقة لأ هدي Y و هدي X إيش + +289 +00:22:51,590 --> 00:22:57,130 +يسوي؟ جاله بسيطة جسم طرفي المعاجلة على capital X + +290 +00:22:57,130 --> 00:23:00,710 +capital Y على capital X capital Y إيش بصي معاك؟ + +291 +00:23:00,710 --> 00:23:04,570 +capital Y مع capital Y بس الواحد على capital X دي + +292 +00:23:04,570 --> 00:23:08,830 +تربيع capital X على DX تربيع زاد واحد على capital + +293 +00:23:08,830 --> 00:23:15,510 +Y دي تربيع capital Y على DY تربيع بساوة 0طلعت معهم + +294 +00:23:15,510 --> 00:23:17,850 +هيك .. احنا قاعدين نخبص زي ما كانوا نخبصوا اول ما + +295 +00:23:17,850 --> 00:23:22,390 +.. خلينا نقول اشتغلوا .. هو هيك اللي العلم بيصير + +296 +00:23:22,390 --> 00:23:26,690 +.. محولات .. تمام؟ هينا بنحاول .. اتطلعوا إيش صار + +297 +00:23:26,690 --> 00:23:30,510 +معاهم .. طبعا هم بس المشكلة أنه بيكون عدة محولات + +298 +00:23:30,510 --> 00:23:33,470 +.. ممكن أشهر معاهم .. احنا بيجينا مجشرة .. هو + +299 +00:23:33,470 --> 00:23:37,130 +قاعدين بيشرحها إلكم .. بنشاطر عليكم .. و هي تمام + +300 +00:23:37,130 --> 00:23:42,300 +تمام .. دعوني اتجادلوا إيش اللي طلع معاك ..هذا + +301 +00:23:42,300 --> 00:23:47,820 +term يعتمد فقط على X وهذا term يعتمد فقط على Y + +302 +00:23:47,820 --> 00:23:52,460 +الأصل أنه لما أغير X التاني تتغير هو ما ليش + +303 +00:23:52,460 --> 00:23:58,080 +دعواتها هيك الأصل هادي تتغير .. غير X بتتغير + +304 +00:23:58,080 --> 00:24:00,780 +capital X بس مش أنا هضعها في capital Y بس انت إيش + +305 +00:24:00,780 --> 00:24:05,360 +عاملينه؟ و لتهادي بتساوي سلب هادي يعني إذا أتغيرت + +306 +00:24:05,360 --> 00:24:09,650 +هادي، هادي بيبقى بتتغيرإذن مش ممكن رياضيًا هذا + +307 +00:24:09,650 --> 00:24:15,870 +الكلام يتقطع إلا في حالة واحدة أعيد هل جيت أنا لو + +308 +00:24:15,870 --> 00:24:19,650 +قلت A زائد B بتساوي سكرة في مشكلة أقول له A بتساوي + +309 +00:24:19,650 --> 00:24:26,290 +سالب B؟ طيب، لو هذه خمسة، هذه كم؟ طب لو هذه سبعة؟ + +310 +00:24:26,810 --> 00:24:31,170 +هذا يعني أن هذا يتبع هذا وهذا يتبع هذا وهذا يتبع + +311 +00:24:31,170 --> 00:24:31,250 +هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +312 +00:24:31,250 --> 00:24:31,330 +وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +313 +00:24:31,330 --> 00:24:32,470 +يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا + +314 +00:24:32,470 --> 00:24:32,490 +وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +315 +00:24:32,490 --> 00:24:33,450 +وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +316 +00:24:33,450 --> 00:24:39,550 +يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا + +317 +00:24:39,550 --> 00:24:47,310 +وهذا + +318 +00:24:47,310 --> 00:24:52,900 +يلأ الاصل هادي تعتمد على X لكي تغيرها الاصل هادي + +319 +00:24:52,900 --> 00:24:57,300 +ما تتغيرش لكن كونهم مرتبطة في معادلة معناته هادي + +320 +00:24:57,300 --> 00:25:01,860 +تعتمد على هادي وهذا مش صحيح مش ممكن يكون إلا في + +321 +00:25:01,860 --> 00:25:05,720 +حالة واحدة أنه إذا هذا بيساوي constant وهذا بيساوي + +322 +00:25:05,720 --> 00:25:08,380 +constant لما هادي بيساوي constant يعني أنا أغير X + +323 +00:25:08,380 --> 00:25:12,320 +لما اتموت تتغير؟ لأ وإذا ما أتغير ليش هادي بتتغير؟ + +324 +00:25:12,320 --> 00:25:17,740 +لأإذاً هذا رياضيا لا يتأتى إلا إذا كل واحدة منهم + +325 +00:25:17,740 --> 00:25:22,580 +ساوت constant معاها هل + +326 +00:25:22,580 --> 00:25:27,420 +كمان؟ أنا بدي أقول بس تختنعوا حتى لو كان كذب لمرة + +327 +00:25:27,420 --> 00:25:30,660 +واحدة لأنه مش شغلتي يعني هذه حكاية ال separation + +328 +00:25:30,660 --> 00:25:33,180 +of variables أنا عندي شباب قولت separation of + +329 +00:25:33,180 --> 00:25:37,180 +variables وظلتني ماشي خلاص عارفينها لأنهم أخدوهابس + +330 +00:25:37,180 --> 00:25:42,240 +عشانكم احنا بنرجع لأصل الموضوع بكيف صار لإنه + +331 +00:25:42,240 --> 00:25:44,500 +يستخدم كتير في ال differential equation لو أخدتوا + +332 +00:25:44,500 --> 00:25:48,920 +differential equation أخر أسبوعين تلاتة بتدوقكم + +333 +00:25:48,920 --> 00:25:51,780 +هذه الشغلات الجابة الأخيرة هيطلع مش الأخر يعني + +334 +00:25:51,780 --> 00:25:56,060 +فيعطي هذا الموضوع لكن مش معقد يعني الأمور سهلة جدا + +335 +00:25:56,060 --> 00:26:02,640 +تمام قال لي إذا هي اعتبر هدف ثابت و هدف ثابت وشوف + +336 +00:26:02,640 --> 00:26:07,710 +إيش بيطلع معاهإذا خلّينا بس نعيد اللي أنا بحكيه + +337 +00:26:11,670 --> 00:26:15,270 +إذاً لما حطيت .. طلعت ال capital Y و طلعت ال + +338 +00:26:15,270 --> 00:26:19,110 +capital X و ال partial حوّرته ل ordinary جسم + +339 +00:26:19,110 --> 00:26:23,410 +المعادلة by capital X في capital Y صار عندي هذه + +340 +00:26:23,410 --> 00:26:26,710 +المعادلة اللي كتبتها الانش بيقول إيه؟ since each + +341 +00:26:26,710 --> 00:26:31,090 +term .. كل حد depends only in one variable كل term + +342 +00:26:31,090 --> 00:26:35,250 +يعتمد على variable هذا يعتمد فقط على X وهذا يعتمد + +343 +00:26:35,250 --> 00:26:40,300 +فقط على Yكل علم علمي و علوم الرياضيات بتقول هذا لا + +344 +00:26:40,300 --> 00:26:48,640 +يتعدى إلا إذا كل حد سوى constant ايش + +345 +00:26:48,640 --> 00:26:53,600 +تسمي ال constant انت حر؟ إذا سميتها ده K واحد + +346 +00:26:53,600 --> 00:26:56,440 +بالسوء و ده K اتنين، لكن سميتها K واحد بالسوء سلب + +347 +00:26:56,440 --> 00:27:00,700 +K اتنين، مظبوط؟ لأن العلاقات تتربطوا، تمام، إذا + +348 +00:27:00,700 --> 00:27:05,540 +خلّي الأولاني C واحد وخلّي التاني C اتنين، في + +349 +00:27:05,540 --> 00:27:09,970 +مشكلة؟بحيث انه انا بقدر اقول ساعتها C1 زي C2 + +350 +00:27:09,970 --> 00:27:16,650 +بيساوي Zero يعني C1 بيساوي سالب C2 تم اذا C1 زي C2 + +351 +00:27:16,650 --> 00:27:21,530 +بيساوي سفر اذا C1 بيساوي سالب C2 وخلي C1 يساوي K + +352 +00:27:21,530 --> 00:27:32,180 +تربيع برضه نرجع لأصل العلمفابت كي تربية كي تربية + +353 +00:27:32,180 --> 00:27:36,580 +كي تربية كي تربية كي تربية كي تربية كي تربية كي + +354 +00:27:36,580 --> 00:27:41,940 +تربية كي تربية كي تربية كي تربية كي تربية كي تربية + +355 +00:27:41,940 --> 00:27:44,530 +كي تربية كي تربيةسبتها من أول افرضها كتربيع طيحك + +356 +00:27:44,530 --> 00:27:48,170 +وبالنهاية مانت قاعد تفرض فراط وحد مدور عليك من + +357 +00:27:48,170 --> 00:27:51,690 +هناك و هنا في الآخر مازال أسهلك تفرض كتربيع افرض + +358 +00:27:51,690 --> 00:27:54,770 +من أول كتربيع كنتوا عارف كيف؟ بدل ما حط ك بطلنا + +359 +00:27:54,770 --> 00:27:57,530 +بقول square root of k square root of k لأ من أول + +360 +00:27:57,530 --> 00:28:02,130 +حط كتربيع بسهل عليك الشغل إذا هذه إيه؟ بعد محاولات + +361 +00:28:02,130 --> 00:28:07,590 +تصفى الأمور تصفى تمام إذا C1 احكي + +362 +00:28:11,730 --> 00:28:18,790 +C1 هي كتر بيعة مظبوط؟ كده الـC2؟ سالب كتر بيعة + +363 +00:28:18,790 --> 00:28:22,870 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +364 +00:28:22,870 --> 00:28:23,890 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +365 +00:28:23,890 --> 00:28:23,950 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +366 +00:28:23,950 --> 00:28:32,250 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +367 +00:28:32,250 --> 00:28:38,750 +مد + +368 +00:28:41,150 --> 00:28:46,750 +أنا بدأت بمعادلة صفيت فاكرة معادلة معادلتين + +369 +00:28:46,750 --> 00:28:53,750 +معادلتين تمام هذه + +370 +00:28:53,750 --> 00:28:58,410 +معادلة اللي أخد differential equation بصري ضحكوا + +371 +00:28:58,410 --> 00:29:02,630 +يقولون يضهجون في هذه المعادلة حلناها مئة مرة مظبوط + +372 +00:29:02,630 --> 00:29:06,530 +ولا لا؟ لكن اللي ما بعرفش مفتحته ويقول هذا كده و + +373 +00:29:06,530 --> 00:29:11,880 +هذا حلهي هيك طبعا الأمور يعني هيك العلم بيجي ده من + +374 +00:29:11,880 --> 00:29:14,400 +الشغل المجهول الصعب والشغل المعلومي ممكن تقول هي + +375 +00:29:14,400 --> 00:29:19,340 +أصل حاجة مظبوط ولا لأ تمام هذه معادلة وهذه معادلة + +376 +00:29:19,340 --> 00:29:22,960 +طبعا لما أجى أعملها أنا هذه معادلة وأرقبها بيصير D + +377 +00:29:22,960 --> 00:29:27,300 +تربيع capital X ع دي X تربيع نافس K تربيع capital + +378 +00:29:27,300 --> 00:29:31,080 +X بالساوية زفرة واللي تحتها D تربيع capital Y ع دي + +379 +00:29:31,080 --> 00:29:34,900 +Y تربيع زائد K تربيع capital Y بالساوية زفرة مظبوط + +380 +00:29:34,900 --> 00:29:41,000 +ولا لأ ايش افراجات هذه سالب وهذهموجة تمام قعدت أنا + +381 +00:29:41,000 --> 00:29:45,800 +أشوف إيش بتسوي في طلاب مش ماخدين differential + +382 +00:29:45,800 --> 00:29:49,880 +equation فروحوا تشيحاتي تحل استنوني شوية بس + +383 +00:29:49,880 --> 00:29:55,500 +هالشغلة من ال differential equation يعني هذا مش + +384 +00:29:55,500 --> 00:30:00,660 +مطلوب منكم بس خلينا نشوف كيف أشوف بنجح أني أدرس + +385 +00:30:00,660 --> 00:30:06,060 +differential equation ولا لا تمامبقولوا بصورة عامة + +386 +00:30:06,060 --> 00:30:08,280 +لو عندك definition of a function بهذا الشكل احنا + +387 +00:30:08,280 --> 00:30:13,340 +يا بنات لو كان عندي معادلة A أو خلّيني أقول هيك + +388 +00:30:13,340 --> 00:30:19,380 +خمسة X تربيع ذات اتنين X ذات تلاتة بالساعة و سفر + +389 +00:30:19,380 --> 00:30:23,000 +كيف بنحلها؟ + +390 +00:30:24,960 --> 00:30:28,900 +القانون العام أو بنحللها طب انت شوف لو دورت + +391 +00:30:28,900 --> 00:30:32,980 +القانون العام ولا التحليل مش هو محاولاتك انت لما + +392 +00:30:32,980 --> 00:30:36,060 +حاطه جوس جوس بصير تقوله اضرب اضرب اضبط اذا ماضبطتش + +393 +00:30:36,060 --> 00:30:39,940 +تقول محاولات مابقعد احاول في الآخر اذا ضبطت ماجوال + +394 +00:30:39,940 --> 00:30:44,100 +حال صح مظلوم ولا لأ في الآخر كيف انا بأضمن انه ده + +395 +00:30:44,100 --> 00:30:49,820 +حال دعوت هناصح ولا لأ؟ إذن هي حلول المعادلات بصورة + +396 +00:30:49,820 --> 00:30:53,200 +عامة دايما نترايك .. نحاول .. كانوا .. هذه كتير ده + +397 +00:30:53,200 --> 00:30:56,480 +حلول .. هي مضطرات صراحة .. كانوا يفكروا .. يشوف كم + +398 +00:30:56,480 --> 00:31:00,520 +دي محاولة .. و عندهم كام من المعلومات .. قالوا فيه + +399 +00:31:00,520 --> 00:31:05,080 +function .. اعطونا رياف رياضيات يوردين أحلى .. كل + +400 +00:31:05,080 --> 00:31:09,070 +ما اتفاضلوا بيضلوا زي ما هو ..كل ما اتفاضوا بيظلوا + +401 +00:31:09,070 --> 00:31:12,330 +زي ما هو .. ماهو الfunction؟ الـ Exponential قالوا + +402 +00:31:12,330 --> 00:31:15,190 +يا رجل المفروض انت واش وراك افرض و نشوف اي حالة + +403 +00:31:15,190 --> 00:31:22,010 +فقالوا كل معادلة بهذا الشكل قطعا حالها بيكون هيك + +404 +00:31:22,010 --> 00:31:25,530 +شوفوا انتوا ماندوش حال دائما exact قالوا e to the + +405 +00:31:25,530 --> 00:31:27,510 +power of x هو اللي قالوا e to the power of rx + +406 +00:31:27,510 --> 00:31:32,870 +وrشيه قالوا انت حر المعادلة اللي بتحددها المعادلة + +407 +00:31:32,870 --> 00:31:36,810 +اللي بتحددهاتمام؟ يعني هذه اللي طبعا مش موجودة + +408 +00:31:36,810 --> 00:31:39,270 +عينكم لإن هو هذه زيادة أكيد لإن هو هذه زيادة اللي + +409 +00:31:39,270 --> 00:31:43,730 +عملناها عشان الاستثناء اللي موجود في السنة هذه انه + +410 +00:31:43,730 --> 00:31:48,250 +مش ماخدين differential equation فهذا طبعا جيبته + +411 +00:31:48,250 --> 00:31:50,470 +منهم كتب ال differential equations يعني موجود في + +412 +00:31:50,470 --> 00:31:53,790 +.. لو بكرا بتاخدوا differential equations بتذكرونه + +413 +00:31:53,790 --> 00:31:58,130 +انه أخدتوها يعني انتوا خدتوا خلوها خلصوها طبعا طلع + +414 +00:31:58,130 --> 00:32:01,350 +كده حل أنا حاجة أنا بتدعي أنه هذا حل إيش أفوه + +415 +00:32:01,350 --> 00:32:06,270 +يهودة؟ أنا بتدعي أنه حلبدي أعوض فوق عشان أعوض ايش + +416 +00:32:06,270 --> 00:32:12,070 +بدي أفعل هنا بدي أفضل مرتين اشتقى أول مرة مش DY + +417 +00:32:12,070 --> 00:32:18,010 +على DX بيساوي RE طب ورق RX صح ولا لأ اشتقى كمان + +418 +00:32:18,010 --> 00:32:25,990 +مرةبساوي R تربيه A to power RX صح؟ أي عمود هان A R + +419 +00:32:25,990 --> 00:32:32,430 +تربيه A to power RX plus B R A to power RX plus C + +420 +00:32:32,430 --> 00:32:36,470 +A to power RX بساوي سفر طبعا إيش ال exponential + +421 +00:32:36,470 --> 00:32:39,910 +أطيره بصحيح اللي طير ال exponential ولا بصحيح اللي + +422 +00:32:39,910 --> 00:32:45,250 +إيش؟أو أقوم بالنسبة لي أو أضربه في إيه تبارك الله + +423 +00:32:45,250 --> 00:32:49,670 +بـRX أسأل عندي AR تربيع plus PR plus C بالساوية + +424 +00:32:49,670 --> 00:32:54,330 +سفرية بتقدر تجيب ريار من هذه المعادلة؟ زي هذه + +425 +00:32:54,330 --> 00:33:00,250 +بتقدر تجيب R؟ خلاص إذا الحل اللي انت فرضته وخليت R + +426 +00:33:00,250 --> 00:33:03,930 +مجهولة جبتلك إياها مين جابها؟ المعادلة تبعتك؟ اللي + +427 +00:33:03,930 --> 00:33:07,110 +بيتحلها تمام؟ أه أستنى شوية + +428 +00:33:12,750 --> 00:33:28,670 +تشاطر ايش اسمها؟ كده عامة شاطرة اسمها احكى + +429 +00:33:28,670 --> 00:33:34,270 +يومانة، سليم تشاطر + +430 +00:33:34,270 --> 00:33:40,190 +يا اليوم، قول يا نسمع حتى اليوملحد الآن واضحة يا + +431 +00:33:40,190 --> 00:33:47,780 +بنات طبعا أنا بكمل طلعت هيكأذا زي ما اتفقنا انا + +432 +00:33:47,780 --> 00:33:53,960 +افرض ان Y تساوي ايه تبارع R X؟ R A R هذي من وين + +433 +00:33:53,960 --> 00:33:57,740 +بتيجي؟ بيقولي هذي R هي الروس المعادلة هذي اللي + +434 +00:33:57,740 --> 00:34:03,300 +عملت أنا وياكم A R تربية plus B R plus C طبعا هذي + +435 +00:34:03,300 --> 00:34:07,980 +لما بيجي أحلها بالقانون العام نجليني جمالة R ساوي + +436 +00:34:07,980 --> 00:34:15,540 +سالف B زي أدو ناقص جزء تربيعيلأ بتربيع ناقص 4a في + +437 +00:34:15,540 --> 00:34:21,900 +c على 2a أكم root بتطلع عندى؟ أكم حل؟ حل إيه؟ تمام + +438 +00:34:21,900 --> 00:34:27,560 +بيقولى مرات بتطلع عندك تلت حالات لو هذه أكبر من + +439 +00:34:27,560 --> 00:34:31,800 +هذه بتطلع imaginary ولا لا؟ بتطلع imaginary ومرات + +440 +00:34:31,800 --> 00:34:36,560 +ال two roots بيسووا بقد مظهروا لأ؟ إذا في عندي تلت + +441 +00:34:36,560 --> 00:34:41,790 +حالات بيقولك where R1 and R2 اللي هم ال two rootsR + +442 +00:34:41,790 --> 00:34:49,430 +real if R1 and R2 أول حالة إذا R1 وR2 real لكن + +443 +00:34:49,430 --> 00:34:53,430 +مختلفين عن بعض، بيساويش بعض، تمام؟ إيش بيطلع عندك + +444 +00:34:53,430 --> 00:34:59,690 +الحل؟ بيقولّي الحل هيطلع كالتالي هذا اللي أخدته + +445 +00:34:59,690 --> 00:35:08,090 +أكيد A R1 X plus B R2 X طب هنطلع هنا، هيا لما يكون + +446 +00:35:08,090 --> 00:35:09,830 +في عندك اتنين R عبارة عن حلين يعني + +447 +00:35:37,340 --> 00:35:38,740 +R1R2R3R4R5R6R7R8R9R10R11R12R13R13R14R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15 + +448 +00:35:39,830 --> 00:35:47,150 +تحط جنبه X تمام؟ طبعا لو اي واحد ايجي يشطق ويحط + +449 +00:35:47,150 --> 00:35:53,650 +هناك هيلاقيها صحيحة تمام تالت بيقولي اذا R واحد + +450 +00:35:53,650 --> 00:36:04,630 +بتساوي R اتنين وبتساوي imaginary imaginary كيف + +451 +00:36:04,630 --> 00:36:07,530 +تجي imaginary؟ بتشوف ايش اللي بسيطة؟ ايش الفرق بين + +452 +00:36:07,530 --> 00:36:13,090 +هذه و هذه؟هجيتك قرنوني بين هذه وهذه شوية شوية قبل + +453 +00:36:13,090 --> 00:36:18,150 +ما اخلص الشريحة الداخلية هذي انا بعتبرها داخلية + +454 +00:36:18,150 --> 00:36:22,090 +هذي هك بس بدي اقارن بين هذه وهذه و بين هذه وهذه + +455 +00:36:22,090 --> 00:36:28,250 +ايش الفرق بينهم الفرق أولا C جديش في الحالتين C0 + +456 +00:36:28,250 --> 00:36:43,300 +برافو في الحالة الأولى A1 و B كتربيةA1 وB0 اذا B0 + +457 +00:36:43,300 --> 00:36:52,910 +تمام ها دي اكل B0 معناته A بتساوي 1ب بيبتساوي زيرو + +458 +00:36:52,910 --> 00:36:59,090 +C إما بتساوي plus or minus كتربيع صح ولا لأ؟ تمام + +459 +00:36:59,090 --> 00:37:05,150 +الفجانية الفجانية سالب كتربيع احنا اتفقنا الـB + +460 +00:37:05,150 --> 00:37:09,630 +جديش؟ Zero إذا الـR بتساوي زائد أو ناقص الجزء + +461 +00:37:09,630 --> 00:37:13,910 +التربيعي لو ناقص أربعة A C على اتنين A لأن الـB + +462 +00:37:13,910 --> 00:37:18,880 +صفرهل جيت؟ ال C كانت ايش؟ طيب احنا بقول اه ال C + +463 +00:37:18,880 --> 00:37:23,620 +كانت ربيع لو كانت سالب سالب مع سالب موجبة بتطلع + +464 +00:37:23,620 --> 00:37:28,540 +real لكن لو كانت ال C موجبة و هنا فيه سالب تطلع + +465 +00:37:28,540 --> 00:37:33,860 +imaginary صح؟ اذا ممكن تكون imaginary او real اللي + +466 +00:37:33,860 --> 00:37:40,920 +فوق real و اللي تحت imaginary تمام؟ حلو هدول طبعا + +467 +00:37:40,920 --> 00:37:47,110 +لما نيجي نعملهبتكون الحل بهذا الشكل طبعا الف ذا اد + +468 +00:37:47,110 --> 00:37:50,710 +اي بيتا الالفة و البيتا ده هما طبعا في حالتي ما + +469 +00:37:50,710 --> 00:37:55,290 +جديش الف بي سفر فالف سفر بتكون بيتا هنا اربع ا سي + +470 +00:37:55,290 --> 00:38:00,630 +نخس بيتا أس دربيع بتروح فبتكون الحل بهذا الشكل a + +471 +00:38:00,630 --> 00:38:03,070 +to the power of alpha x a to the power of sine + +472 +00:38:03,070 --> 00:38:06,290 +beta x plus b cosine طبعا انا في حالتي الف سفر + +473 +00:38:06,290 --> 00:38:09,590 +فبالتالي بتكون الحل هيك اللي هو + +474 +00:38:12,970 --> 00:38:18,790 +هذه الشريحة الداخلية او الشريحة الداخلية طبعا انا + +475 +00:38:18,790 --> 00:38:22,570 +لو اجيت بده حل مع طالباتي اللي ماخدين differential + +476 +00:38:22,570 --> 00:38:26,710 +equation بقولهم كيف بده حل هذه بقولولي هذه بصير + +477 +00:38:26,710 --> 00:38:35,070 +عبارة عن خليني اقول R تربيع ناقص K تربيع بتساوي + +478 +00:38:35,070 --> 00:38:41,620 +سفر اذا R بتساوي زائد او ناقص Kمن اللي توجلى عليها + +479 +00:38:41,620 --> 00:38:49,040 +لحكاية التربية؟ ذاكره؟ بدي R يا هدى كيه و لا كيه + +480 +00:38:49,040 --> 00:38:51,760 +.. لو ك .. انا كنت فرض من أول كيه مش بتحط score + +481 +00:38:51,760 --> 00:38:55,560 +root عشان كده راح حطها من أول كيه تربية عشان بتقول + +482 +00:38:55,560 --> 00:39:00,240 +R فهمت علي كيف؟ هو قاعد بشتري ذاكره لسؤالك؟ + +483 +00:39:00,240 --> 00:39:04,800 +وبالتالي قاللي لو انا حطيتها كيه هتقوللي هيك؟وهذه + +484 +00:39:04,800 --> 00:39:09,280 +بتغلب من أول حتى K تربيع وبالتالي حلّك E to power + +485 +00:39:09,280 --> 00:39:13,360 +plus or minus بدل R اللي هو E to power of R X K X + +486 +00:39:13,360 --> 00:39:18,160 +لكن لو كانت هذه موجبة بصيحة عندك R تربيع plus K + +487 +00:39:18,160 --> 00:39:25,020 +تربيع بتساوي سفر إذا R بتساوي زائد أو ناقص I K I K + +488 +00:39:25,020 --> 00:39:29,240 +هل جيت .. هل انتوا أخدتوا في كالكولاس P E to power + +489 +00:39:29,240 --> 00:39:35,930 +of I X إيش بتساوي؟Sin و Cos صحيح؟ وبالتالي بدل ما + +490 +00:39:35,930 --> 00:39:39,510 +تقولي a e to the power of i x plus b e to the + +491 +00:39:39,510 --> 00:39:43,530 +power of minus i k x إيش تقريبا تكتبها؟ أكتبها a + +492 +00:39:43,530 --> 00:39:53,070 +sin kx plus b cos kx وخلاص فلما + +493 +00:39:53,070 --> 00:39:57,590 +تكون imaginary الحل بدل ما يكون exponential يحول + +494 +00:39:57,590 --> 00:40:03,040 +إلى sin و cosلما يكون imaginary ما زالها I بصير + +495 +00:40:03,040 --> 00:40:08,220 +الحال Sin و Cos نرجع .. لأ .. نرجع إلى هنا هذه + +496 +00:40:08,220 --> 00:40:14,400 +الشريحة الداخلية خلصنا منها نرجع إلى هنا إذن + +497 +00:40:14,400 --> 00:40:21,780 +هذه لما أجي أعملها صارت ماقص كتربيع فهي حالها وهذه + +498 +00:40:21,780 --> 00:40:28,420 +قال لي هي حالها طيب أنت إيش بدك؟ بدك XY ولا بدك V؟ + +499 +00:40:29,360 --> 00:40:35,320 +بدي V ايش فرضي V انت؟ X في Y هذي + +500 +00:40:35,320 --> 00:40:39,760 +هرجيت انا كيف بدي السؤال؟ بقولكم هاي الحالة اذا + +501 +00:40:39,760 --> 00:40:43,500 +هذا الحل يُعطيلكم هذا الحل يُعطيلكم شوفوا لو + +502 +00:40:43,500 --> 00:40:51,340 +فهمتوا 40% ضاري عشطر البحر هذي الشرف بكافكم مش + +503 +00:40:51,340 --> 00:40:56,060 +كلكممش كلكم اللي مش باخدين Default Interlocution + +504 +00:40:56,060 --> 00:41:00,520 +تمام أما الباجين بتبقوا يقولوا 120% المفروض يكون + +505 +00:41:00,520 --> 00:41:05,940 +مفهوم له تمام أما أنتوا تعرفوا أن هذا حل المعادلة + +506 +00:41:05,940 --> 00:41:10,440 +التفاضلية هيك شكله هيك شكله في النهاية أنا حاطيكم + +507 +00:41:10,440 --> 00:41:15,140 +إياه دائما دائما حاطيكم إياه و لو ممكن أطفو منكم + +508 +00:41:15,140 --> 00:41:19,160 +تحلوا المعادلة التفاضلية اتفهمنا؟ بس بدي إياكم + +509 +00:41:19,160 --> 00:41:22,960 +مايكونش ثلاثم بالنسبالكمأكتر من كده مابديش منكم + +510 +00:41:22,960 --> 00:41:27,500 +يعني تكونوا عارفين انه والله بشوية تعب بنجيب يعني + +511 +00:41:27,500 --> 00:41:31,680 +ما .. ماجيبش حاجة جديدة من .. من عندهم أي استفسار + +512 +00:41:31,680 --> 00:41:35,480 +قبل ما نكمل؟ + +513 +00:41:35,480 --> 00:41:38,160 +الان ايش هم اللي بيدي .. طب انا .. انا بدي أديكم + +514 +00:41:38,160 --> 00:41:41,760 +الحل ايش بدك انت منيه؟ بدي ثواب، انت كم ثواب + +515 +00:41:41,760 --> 00:41:51,250 +بتطلعه؟ خمسةمع K إذاً A وB وC وD وK من وين أجيبهم؟ + +516 +00:41:51,250 --> 00:41:54,350 +من ال boundary conditions إذاً بيقولي where A, B, + +517 +00:41:54,430 --> 00:41:57,970 +C, D and K are constants to be determined from the + +518 +00:41:57,970 --> 00:42:02,210 +boundary conditions تانا تانا تانا تانا تانا تانا + +519 +00:42:02,210 --> 00:42:12,190 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +520 +00:42:12,190 --> 00:42:12,710 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +521 +00:42:12,710 --> 00:42:12,910 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +522 +00:42:12,910 --> 00:42:13,530 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +523 +00:42:13,530 --> 00:42:13,670 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +524 +00:42:13,670 --> 00:42:16,720 +تانانت تقول قولتي ليه؟ ليش بيبقى نرجعله؟ هاي في + +525 +00:42:16,720 --> 00:42:22,420 +سؤال .. هاي مثال .. بيقول .. to infinite .. to + +526 +00:42:22,420 --> 00:42:27,440 +infinite .. grounded .. plates .. lie parallel to + +527 +00:42:27,440 --> 00:42:31,460 +the ways of the planeخلّيني أرسمها عشان نقرأ + +528 +00:42:31,460 --> 00:42:35,240 +السؤال صح بيقول الـ two plates الزرق هدول infinite + +529 +00:42:35,240 --> 00:42:39,580 +كيف infinite؟ يعني من هنا رايحة على مالة نهاية و + +530 +00:42:39,580 --> 00:42:41,580 +هيك رايحة على مالة نهاية و من هنا رايحة على مالة + +531 +00:42:41,580 --> 00:42:46,160 +نهاية تمام؟ مار و هيك اللي تحتها زيها للمالة + +532 +00:42:46,160 --> 00:42:49,900 +النهاية و هيك بتروح لناقص مالة نهاية يعني ال Z من + +533 +00:42:49,900 --> 00:42:54,120 +مالة نهاية لناقص مالة نهاية و ال X من الصفر لمالة + +534 +00:42:54,120 --> 00:42:58,880 +نهايةتمام؟ و ال Y لأ ما هي عمودية ال Y بتتغير + +535 +00:42:58,880 --> 00:43:03,200 +لشيلة حمرة تمام إذن لإن هي في ال X دي plane تمام + +536 +00:43:03,200 --> 00:43:08,160 +when ال Y بتساوي سفر تحتانية حاططها على الأرض عند + +537 +00:43:08,160 --> 00:43:14,100 +Y بتساوي سفر and the other ال Y بتساوي إيه + +538 +00:43:14,100 --> 00:43:19,420 +الفجانية المسافة اللي بينهم إيه تمام؟ the left end + +539 +00:43:19,420 --> 00:43:27,770 +الطرف الأيسرis closed off with an infinity strip + +540 +00:43:27,770 --> 00:43:32,130 +insulated from the two plates and maintained at + +541 +00:43:32,130 --> 00:43:36,230 +potential V0 روحت حطات الـ strip الحمرة هذه بينهم + +542 +00:43:36,230 --> 00:43:41,470 +عند X بالساوية صفر واعتبرت جهدها بساوية V0 كل هذا + +543 +00:43:41,470 --> 00:43:47,810 +معطيات تم find V and E، جيب V و لا E، ما هي بتنجح + +544 +00:43:47,810 --> 00:43:53,610 +بلحالها between the plates، وين بدو؟between the + +545 +00:43:53,610 --> 00:43:57,090 +place إذا المنطقة معروفة أو ليست معروفة، بدي + +546 +00:43:57,090 --> 00:44:00,990 +حدودها بدي حدودها، ما هو إيش معاك border + +547 +00:44:00,990 --> 00:44:04,150 +condition؟ بدي عند حدودها جدّيش فيه، أول بدي أعرف + +548 +00:44:04,150 --> 00:44:08,690 +حدودها طبعا هي x و y، ما هتدعو بال z لأن ال z من + +549 +00:44:08,690 --> 00:44:13,150 +سلب ما لنهاية لما لنهاية، مافيش منطقة، x و y أول + +550 +00:44:13,150 --> 00:44:20,440 +حد x إيش متساوي؟ Zero، التاني ما لنهاية، ال yزيرو + +551 +00:44:20,440 --> 00:44:26,260 +و ال A إذا بدي V عند X بتسوي سفر V عند X بتسوي ملا + +552 +00:44:26,260 --> 00:44:33,000 +نهاية V عند Y بتسوي Zero و Y بتسوي A حلو نبدأ في + +553 +00:44:33,000 --> 00:44:37,860 +ال Y لما Y تسوي سفر وين بكون؟ على أي plate؟ لما + +554 +00:44:37,860 --> 00:44:41,900 +أكون أنا .. على ال plate التحتانية جدي كتير إذا + +555 +00:44:41,900 --> 00:44:46,190 +مُعطَى عند Y بتسوي A؟ على أي plate بكون؟V ما + +556 +00:44:46,190 --> 00:44:51,150 +أعطيها؟ جديش؟ Zero لما X تسوى سفر عليه إبنك مابون + +557 +00:44:51,150 --> 00:44:56,530 +الحمراء V not و الأخيرة مانا نهاية لتو ولا قانون + +558 +00:44:56,530 --> 00:45:00,510 +جديش؟ عند ما أنا نهاية؟ Zero هاي ال boundary كنتش + +559 +00:45:00,510 --> 00:45:05,330 +يتعوني هي ال boundary كنتش يتعوني solution شوفت + +560 +00:45:05,330 --> 00:45:09,450 +هذا الحل؟ من يدّاكم إياه؟ إحنا ندّيكم إياه اللي تو + +561 +00:45:09,450 --> 00:45:15,410 +تعبنا عليه تمام؟ هذا حل بنقول أه والله ادّونيالو + +562 +00:45:15,410 --> 00:45:19,890 +جيبناها في الدفتر موجود في الكتاب موجود عشان أجيب + +563 +00:45:19,890 --> 00:45:23,590 +الثواب تشوف هم ال boundary condition هاي واحد وهي + +564 +00:45:23,590 --> 00:45:27,690 +اتنين وهي تلاتة وهي أربعة طلعوا عليهم وشوفوا اللي + +565 +00:45:27,690 --> 00:45:34,050 +توا حاكيناههم خلاص + +566 +00:45:34,050 --> 00:45:37,890 +أنا حاضر اه طيب ال boundary condition هم همين هم؟ + +567 +00:45:38,690 --> 00:45:43,250 +خلاص بنكمل المرة الجاية لإنه بدها شغل بينفعش نسلك + +568 +00:45:43,250 --> 00:45:44,750 +حس عليك، يعطيكوا العافية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/g849-eDivLg_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/g849-eDivLg_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..81e556c9cee5cf2d8e230b836caac1c24e525952 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/g849-eDivLg_raw.srt @@ -0,0 +1,2312 @@ +1 +00:00:20,820 --> 00:00:25,880 +تمام اذا الشبتر التالت زي ما اتفقنا عبارة عن شبتر + +2 +00:00:25,880 --> 00:00:30,960 +مركزي بعنوان special techniques هذي ال problems هي + +3 +00:00:30,960 --> 00:00:35,320 +ال problem اللي بنفضل انه تكونوا حلتوها عشان نفهم + +4 +00:00:35,320 --> 00:00:40,120 +المواضيع هذا الشبتر اصل + +5 +00:00:40,120 --> 00:00:43,880 +هذا الشبتر انه كيف حل Laplace equation Laplace + +6 +00:00:43,880 --> 00:00:48,220 +equation عشان نتذكر احنا وياكم كيف كانت وإيش واضحة + +7 +00:00:50,340 --> 00:00:53,660 +نعمل recalling لـ Gauss's law Gauss's law هو الـ + +8 +00:00:53,660 --> 00:00:56,600 +differential form of Gauss's law بصيغته الجديدة + +9 +00:00:56,600 --> 00:01:00,260 +دلت ضد الـ E بتسوي روح على إبسلون نوت هجيت إيش + +10 +00:01:00,260 --> 00:01:03,540 +اللي بربط E في V؟ مين يذكرني القانون؟ القانون اللي + +11 +00:01:03,540 --> 00:01:09,800 +بربط E مع VE بيساوي سالب ال gradient لل V فبقولي + +12 +00:01:09,800 --> 00:01:15,660 +knowing that E بيساوي سالب دل ال V تما حطله محل ال + +13 +00:01:15,660 --> 00:01:20,320 +E لفوق E لتحت بيصير دل ضد الدل ولا لأ دل ضد الدل + +14 +00:01:20,320 --> 00:01:23,760 +إيش بتساوي؟دى التربيع اللى سمته لابلاس يعنى فصار + +15 +00:01:23,760 --> 00:01:28,420 +عندي دى التربيع ال V بتسوي رو على إبسلون نوت دى + +16 +00:01:28,420 --> 00:01:33,860 +التربيع ال رو بتسوي رو على إبسلون نوت هدى Poisson + +17 +00:01:33,860 --> 00:01:42,960 +equation تمام لو كانت إذا كانت + +18 +00:01:42,960 --> 00:01:47,180 +رو بتسوي زيرو بس في عندي معادلة هكتانية هدى بسموها + +19 +00:01:47,180 --> 00:01:51,110 +لابلاس equationهذه هي الـ Laplace equation + +20 +00:01:51,110 --> 00:01:55,750 +كتبوليها بالـ Cartesian coordinates هذه التحت + +21 +00:01:55,750 --> 00:02:00,630 +الأخيرة آه + +22 +00:02:00,630 --> 00:02:06,210 +كم ليه؟ + +23 +00:02:06,210 --> 00:02:09,610 +ذاكره؟ + +24 +00:02:09,610 --> 00:02:17,870 +مظبوط الحكمة أم لا؟ هذه هي المدح لهابديكي اياها بس + +25 +00:02:17,870 --> 00:02:23,250 +حكاسي .. صح بس هيك .. مظبوط؟ تمام دي التربيع ال V + +26 +00:02:23,250 --> 00:02:28,510 +equal to zero هذه معادلة عشان فيها تفاضل بيسموها + +27 +00:02:28,510 --> 00:02:32,630 +.. تعرفون دي تربيت إيش؟ معادلة تفاضلية .. معادلة + +28 +00:02:32,630 --> 00:02:36,820 +تفاضلية .. ماسمعتوش فيها بالمرأةdifferential + +29 +00:02:36,820 --> 00:02:43,120 +equation تمة بدي أحلها أنا و إياكم بدي أحلها نتحمل + +30 +00:02:43,120 --> 00:02:46,260 +بعض شوية بعيني الله إيش بنسوي كيف نحل ال + +31 +00:02:46,260 --> 00:02:48,940 +differential equation معلومات البسيطة بالنسبة تمة + +32 +00:02:48,940 --> 00:02:55,020 +بدي أحلها مرتينمرة one dimension و مرة بال two + +33 +00:02:55,020 --> 00:02:57,740 +dimensions لما يكون one dimension يعني لا هذه + +34 +00:02:57,740 --> 00:03:01,540 +موجودة ولا هذه موجودة بس تعتمد على X لما تعتمد على + +35 +00:03:01,540 --> 00:03:04,420 +X فقط هذه مش موجودة و هذه مش موجودة لما بصير دي + +36 +00:03:04,420 --> 00:03:07,200 +على دي Y هو Zero و دي على دي Z هو Zero هذه معناه + +37 +00:03:07,200 --> 00:03:11,640 +one dimensional يعني لا تعتمد على Y ولا على Z تمام + +38 +00:03:11,640 --> 00:03:16,980 +Laplace equation in one dimension في بعض المعادلات + +39 +00:03:16,980 --> 00:03:20,680 +بتعتمد .. أقولكم مثلا عشان بس انتوا شويه شويه + +40 +00:03:20,680 --> 00:03:27,410 +تجربوا معاياالجهود للكرة .. مين يذكرني فين؟ الجهود + +41 +00:03:27,410 --> 00:03:35,210 +للكرة .. KQ عليه .. KQ على أرض .. ذاكرينه؟ لو + +42 +00:03:35,210 --> 00:03:38,330 +اعتبرته سيركال كواردينيز .. علاقة كان كواردينيز + +43 +00:03:38,330 --> 00:03:38,790 +بيعتمد + +44 +00:03:42,550 --> 00:03:46,790 +هيو؟ لا تعتمدش لأعلى .. اه .. اذا V تعتمدش لأعلى θ + +45 +00:03:46,790 --> 00:03:50,990 +أو لأعلى في هيها تمام؟ اذا أحيانا في بعض المسائل + +46 +00:03:50,990 --> 00:03:54,390 +تعتمدش على التلاتة variables هدول تمام؟ عشان كده + +47 +00:03:54,390 --> 00:03:57,930 +بدي أحيلها ب one dimension فهذه ال one dimension + +48 +00:03:57,930 --> 00:04:01,670 +بس .. بس .. نأجل الفيزة شوية كده، مافيش حاجة + +49 +00:04:01,670 --> 00:04:05,370 +رياضية بقول لي Laplace equation in one dimension + +50 +00:04:05,370 --> 00:04:15,650 +بتساوي هدا هي تمام؟ انتبهولي يا بناتD A على DX + +51 +00:04:15,650 --> 00:04:22,110 +بتساوي سفر انسوا differential equation جدتش A A + +52 +00:04:22,110 --> 00:04:27,550 +بتساوي small a، constant خليني بدا أش A هذا، خليها + +53 +00:04:27,550 --> 00:04:31,250 +F خلينا نسميها، يمكن أحدها، أحدها، أحدها، أحدها، + +54 +00:04:31,250 --> 00:04:31,670 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +55 +00:04:31,670 --> 00:04:33,450 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +56 +00:04:33,450 --> 00:04:33,570 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +57 +00:04:33,570 --> 00:04:33,790 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +58 +00:04:33,790 --> 00:04:35,030 +أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، أحدها، + +59 +00:04:35,030 --> 00:04:43,570 +أحدها، أحدها، أحدها، أأو جي احنا نصيب دي تربيع هذه + +60 +00:04:43,570 --> 00:04:50,150 +صارت دي جي على دي إكس من يجيب لي جي؟ أنا بدي اللي + +61 +00:04:50,150 --> 00:04:53,330 +ماياخدوش difference يعني انتوا ماتحقوش أيوة يلا + +62 +00:04:53,330 --> 00:04:57,930 +كيف بتثوي جي؟ إيش بتثوي؟ كم طرف إيه المعادلة؟ + +63 +00:04:57,930 --> 00:05:05,050 +مستحق بالجي؟ إذا بقدر أقول جي بتثوي ax ذائب ثابت؟ + +64 +00:05:05,050 --> 00:05:11,880 +مظبوط هيك ولا لأ؟ حلوإذاً هنا تلعب بقدر أقول V + +65 +00:05:11,880 --> 00:05:18,700 +بتساوي AX زائد B ما هي هذه الشيء هذه هي عبارة عن D + +66 +00:05:18,700 --> 00:05:27,460 +على DX D على DX V هذه بتساوي Zero الجثة هذا بقدر + +67 +00:05:27,460 --> 00:05:34,780 +أسميه إيه إذاً ال V بتساوي AX زائد B هي السلسلة + +68 +00:05:34,780 --> 00:05:38,760 +الشرشة نظرتك مش عاجبك + +69 +00:05:41,990 --> 00:05:49,190 +هيك تمام؟ إذا معناته V + +70 +00:05:49,190 --> 00:05:56,130 +بتساوي Ax زي V، إيه الحالة؟ صعيبة؟ مش صعبة، هاي + +71 +00:05:56,130 --> 00:05:58,410 +الـdifferential equation هاي الـdifferential + +72 +00:05:58,410 --> 00:06:00,450 +equation، هاي عاد الـdifferential equation، هاي + +73 +00:06:00,450 --> 00:06:04,570 +الـC لأ، لكن بالرغم من سهولتها، هذه الحالة مش + +74 +00:06:04,570 --> 00:06:10,040 +مطلوب منكم تجيبوا، أنا بعطيكم إيه يعنيفي حالة الـ + +75 +00:06:10,040 --> 00:06:14,000 +differential equation أنا بعطيكم مياه طب وش ضايق؟ + +76 +00:06:14,000 --> 00:06:18,560 +أنا بدي V فهنجبنه، إيش ضايق الـG؟ بقولكم إيش ضايق + +77 +00:06:18,560 --> 00:06:25,500 +الـG؟ بدي A و Bبدي a و b a و b constant هدول بديك + +78 +00:06:25,500 --> 00:06:29,980 +تجيبهم عشان تطلع YouTube صحي اذا بالرغم من انه + +79 +00:06:29,980 --> 00:06:32,860 +بأفترض طلاب سنة تالتة اللي بيجي و بياخدوا course + +80 +00:06:32,860 --> 00:06:35,900 +ماخدين differential equation بالرغم من افتراضي + +81 +00:06:35,900 --> 00:06:40,740 +لذلك لكن الحل انا بعطيه بديش يوم حلو بديش جميلة + +82 +00:06:40,740 --> 00:06:45,440 +طول تمام؟بس الان بدي اياكم انتوا لو مااخدتوش + +83 +00:06:45,440 --> 00:06:48,200 +differential equation تقولوا اه فهمنا طبعا مش هقدر + +84 +00:06:48,200 --> 00:06:51,820 +افهمكم كلشي كلشي قدام فيه شغلات متقدمة بنلحق عليكم + +85 +00:06:51,820 --> 00:06:56,140 +شوية شوية يعني و تاخدوا الحد الأدنى من الشغلة و + +86 +00:06:56,140 --> 00:06:59,640 +بعدين تلحقوا لما تاخدوها بالتفصيل تتعاملوا معاها + +87 +00:06:59,640 --> 00:07:03,380 +كمان مش هقدر اخدش ادي course differential equation + +88 +00:07:03,380 --> 00:07:08,140 +بس بنقنعكم يعني شوية تقولوا المهم تحزوا راسكم و بس + +89 +00:07:08,140 --> 00:07:10,620 +لا لو لحظة واحد و بعدين تفرضوا هوريهم في الدار + +90 +00:07:11,370 --> 00:07:15,770 +فهمتوا؟ مافهمتوا ايش التحريك؟ تمام هذه سهلة .. هذه + +91 +00:07:15,770 --> 00:07:21,530 +سهلة لسه مادخلناها في البيئة شدية with A and B are + +92 +00:07:21,530 --> 00:07:24,450 +constants to be determined from the boundary + +93 +00:07:24,450 --> 00:07:27,190 +conditions من أين بده أجيبهم؟ بدك نجيبهم أعطاية + +94 +00:07:27,190 --> 00:07:31,270 +عشان أجيبهم صح ولا لأ؟ هذه فيه أشياء الجهود في + +95 +00:07:31,270 --> 00:07:35,650 +منطقة ما في منطقة ما اعطيني معلومات بقدر أجيبلك + +96 +00:07:35,650 --> 00:07:40,210 +الثوابت متفقين هيك؟تمام؟ كي بيجي السؤال؟ بيجي + +97 +00:07:40,210 --> 00:07:44,470 +السؤال كالتالي ها example و أنا بفرجكم كيف بجيب + +98 +00:07:44,470 --> 00:07:48,110 +أسئلتي أنا بقوللي بديني كل نص السؤال too large + +99 +00:07:48,110 --> 00:07:52,630 +conducting plates too large conducting plates + +100 +00:07:52,630 --> 00:07:56,970 +تمام؟ oriented normal to the x-axis زي ما تشايفين + +101 +00:07:56,970 --> 00:08:01,710 +هيك ال x-axisand kept at potential V1 and V2 + +102 +00:08:01,710 --> 00:08:06,370 +بيقوللي الأولانية جهدها قداش V1 هذا مقطع والتانية + +103 +00:08:06,370 --> 00:08:13,590 +جهدها قداش V2 أشون find V and E between the plates + +104 +00:08:13,590 --> 00:08:18,890 +وين بدوياها between the platesتمام انا في السؤال + +105 +00:08:18,890 --> 00:08:22,750 +.. هذا مثال في السؤال ايش بعمل؟ بقول it is known + +106 +00:08:22,750 --> 00:08:28,990 +that أو you are given علما بأنه V بتساوي EX زاد B + +107 +00:08:28,990 --> 00:08:34,070 +بكمل هيك سؤالي تمام هيك؟ مش واحد يقولي دي عقود حل + +108 +00:08:34,070 --> 00:08:38,890 +والله ماخد فرن شركويتش، ماتحلش، هي الحال جاهزطبعا + +109 +00:08:38,890 --> 00:08:44,710 +إذا أنا دائما سؤالي على طول بألاحقه بإن الحل أنا + +110 +00:08:44,710 --> 00:08:48,190 +بديكي يعرفه it is given that the potential in + +111 +00:08:48,190 --> 00:08:55,380 +between given by this equation وكمل كذا نكملأحنا + +112 +00:08:55,380 --> 00:08:58,700 +اتفقنا بال D A و B بال D A و B من ال boundary + +113 +00:08:58,700 --> 00:09:02,840 +conditions انتبهولي شوية عشان هذه you keep تتكرر + +114 +00:09:02,840 --> 00:09:04,940 +في أكتر من مسافر الفيزيا .. الحكاية ال boundary + +115 +00:09:04,940 --> 00:09:08,060 +condition و اللي ماخديني quantum أو اللي بياخدوا + +116 +00:09:08,060 --> 00:09:10,920 +.. أخدوا quantum برضه بتمر عليهم .. المهم في أكتر + +117 +00:09:10,920 --> 00:09:16,980 +من منطقة كلمة boundary إيش معناتها؟ حدود ببعض .. + +118 +00:09:16,980 --> 00:09:21,850 +هجيت أنا بدي جهود وين؟هو طالب في المنطقة اللي + +119 +00:09:21,850 --> 00:09:25,350 +بينهم بقول هذه المنطقة لها حدود ولا مالاش حدود؟ + +120 +00:09:25,350 --> 00:09:29,170 +تنكبولي على حدودها واضح إنه طبعا أن نمت السؤال إنه + +121 +00:09:29,170 --> 00:09:34,370 +يعتمد على ال X حدود منطقتي X بيساوي أيش و X أيش + +122 +00:09:34,370 --> 00:09:41,630 +بيساوي؟ 0 و A و D برا إذا إذا كدت تتعرفلي عند X + +123 +00:09:41,630 --> 00:09:45,990 +بيساوي 0 جديش V و عند X بيساوي D جديش V تكتبهم خلص + +124 +00:09:45,990 --> 00:09:51,100 +مص السؤالطيب هجيت عند x بيساوي 0 مش انا هنا جديش V + +125 +00:09:51,100 --> 00:09:56,640 +V واحد صعب اجيبها اذا ممكن اكتب at x بيساوي 0 V + +126 +00:09:56,640 --> 00:10:00,060 +بيساوي V1 و at x بيساوي D هاي ال boundary + +127 +00:10:00,060 --> 00:10:03,480 +condition تعوني هاي ال boundary condition تعوني + +128 +00:10:03,480 --> 00:10:08,360 +جديش الجهد عند الحدود حدود منطقتي و المنطقة بيناها + +129 +00:10:08,360 --> 00:10:12,600 +و بيعطينا إياها إذا بيقوللي V بيساوي X VS B أنا + +130 +00:10:12,600 --> 00:10:16,760 +اعطيتهابلاستيكويشن حليتها و مابديش اقعد احد + +131 +00:10:16,760 --> 00:10:19,840 +differential equation من اول نيجي اول to find a + +132 +00:10:19,840 --> 00:10:24,580 +and b we have is a first boundary condition at x + +133 +00:10:24,580 --> 00:10:28,280 +مساوة صفر هذه اول حد في المنطقة بقوله v مساوة v + +134 +00:10:28,280 --> 00:10:33,800 +واحد طيب يالا نطبقها نيجي نطبق ايش ممكن تحط في هذه + +135 +00:10:33,800 --> 00:10:37,920 +المعادلة مش هذه المعادلة سابقة المفقول لكل النقاط + +136 +00:10:37,920 --> 00:10:42,280 +اللي جوامن أين إلى أين؟ هادي و هادي و هادي و هادي + +137 +00:10:42,280 --> 00:10:51,800 +و هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +138 +00:10:51,800 --> 00:10:51,800 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +139 +00:10:51,800 --> 00:10:51,800 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +140 +00:10:51,800 --> 00:10:51,800 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +141 +00:10:51,800 --> 00:10:52,120 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +142 +00:10:52,120 --> 00:10:52,660 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +143 +00:10:52,660 --> 00:10:58,120 +هادي و هادي و هادي و هادي و هادي و هادي و هادي و + +144 +00:10:58,120 --> 00:11:05,120 +هادي و هB بيتساوى V واحد و V واحد ما هيمعطى قيمة + +145 +00:11:05,120 --> 00:11:13,000 +إذا هاي أول حاجة V بتساوى V واحد إذا معناته عوض + +146 +00:11:13,000 --> 00:11:17,860 +طلعت عندك بي بتساوى V واحد باجي بقول إذا هذا بطل + +147 +00:11:17,860 --> 00:11:22,620 +اتحك الحل صار بالساوية إيه X ذات بي ولا ذات V واحد + +148 +00:11:22,620 --> 00:11:29,560 +خلاص بي بتساوى V واحد اظهر عليها إيه حلو لما X + +149 +00:11:29,560 --> 00:11:35,520 +تساوي Dبكون V ايش لازم تساوي؟ V2 بدي بنفس المعادلة + +150 +00:11:35,520 --> 00:11:41,240 +اللي بقول V2 بتساوي A في D زائد V1 ايش بدك انت؟ + +151 +00:11:41,240 --> 00:11:47,560 +بدي ايه؟ ببترجوا من هنا ان A بيساوي V2 نقص V1 على + +152 +00:11:47,560 --> 00:11:55,900 +D صح ولا؟ خلص الحل إذا V بتساوي V2 بدل A نقص V1 + +153 +00:11:55,900 --> 00:12:06,810 +على D في X زائد V1اللي هي بي .. خلص الحاجة أي + +154 +00:12:06,810 --> 00:12:11,770 +استفسار وهيجعجك في + +155 +00:12:11,770 --> 00:12:22,950 +إشي مش واضح، إيش هو؟ هتجي سهل، تخجليش، ماشي الأمور + +156 +00:12:24,100 --> 00:12:27,520 +ثبتين جبتهم من الـ Boundary Condition دي الباردكم + +157 +00:12:27,520 --> 00:12:31,960 +إحنا هادا سلّم بدنا نطلع أطابق عكر عكر بدنا نطلع + +158 +00:12:31,960 --> 00:12:36,180 +سلّم سلّم درجة درجة وكل درجة بدنا نتأكد إنها صلبة + +159 +00:12:36,180 --> 00:12:40,620 +جدا تحت رجلنا عشان نصلح أحنا حكينا هذا chapter من + +160 +00:12:40,620 --> 00:12:43,800 +أهم الشباجة اللي موجود فإن هذا اللي ورا بيصير + +161 +00:12:43,800 --> 00:12:46,280 +تحصيل حاصل مافيش معلومات كتير في chapter 4 + +162 +00:12:46,280 --> 00:12:50,380 +وبالتالي كل درجة بدنا نطلعها كلكم تعرفوا إنه + +163 +00:12:50,380 --> 00:12:52,980 +طلعتوها زي ما يقولوها على أرض صلبة + +164 +00:12:55,930 --> 00:13:03,770 +فهمنا؟ لا افترض يقول إن جالك أوجي daily الجهد أقل + +165 +00:13:03,770 --> 00:13:08,410 +من zero، صح؟ معناته لازم يعطيني حدين، إيش حدود + +166 +00:13:08,410 --> 00:13:12,070 +منطقتك اللي جابلي ال zero؟ سالب من النهاية، و + +167 +00:13:12,070 --> 00:13:14,490 +الصفر، إذا لازم يقول عندي السلب من نهاية، إيش هو + +168 +00:13:14,490 --> 00:13:21,320 +وضع الجهد؟بتكون جايلي هذه المعلومة أو فاهمها + +169 +00:13:21,320 --> 00:13:25,800 +بالظبط بالظبط إذا دائما المنطقة اللي بدى يحكيلك + +170 +00:13:25,800 --> 00:13:30,760 +إياها أول حاجة تحدّنها حدّينها حدّينها وبيكون واضح + +171 +00:13:30,760 --> 00:13:35,820 +الأمور إنه القيم مضحة زي إما zero من معلومة عامة + +172 +00:13:35,820 --> 00:13:41,300 +أوالمعطيات بتعطيها تمام هيك؟ اذا المنطقة ما زالت + +173 +00:13:41,300 --> 00:13:44,980 +داكي اياها وغيرها بده يقولك عنها لو كانت جالك على + +174 +00:13:44,980 --> 00:13:50,840 +يمين التانية من دي لمانا نهاية هي حدودها تمام هيك؟ + +175 +00:13:50,840 --> 00:13:52,260 +حلو غيرهم + +176 +00:14:00,960 --> 00:14:04,800 +إذا بعد ما جبت B قال لي إذا هي V اللي أنا عشان + +177 +00:14:04,800 --> 00:14:08,400 +أجيب second boundary condition قال لي X بيساوي D و + +178 +00:14:08,400 --> 00:14:13,820 +V بيساوي V2 فلما جبتها عوضت طلعت منها A وهي طلعت V + +179 +00:14:13,820 --> 00:14:23,180 +بدي أرجع لك .. بدي E أه .. أه .. أه .. أه .. أه .. + +180 +00:14:23,180 --> 00:14:23,280 +أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه + +181 +00:14:23,280 --> 00:14:23,280 +.. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. + +182 +00:14:23,280 --> 00:14:23,520 +أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه + +183 +00:14:23,520 --> 00:14:24,460 +.. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. + +184 +00:14:24,460 --> 00:14:27,280 +أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه .. أه + +185 +00:14:27,280 --> 00:14:27,280 +.. أ + +186 +00:14:31,730 --> 00:14:38,170 +أول حوالي ليها هذي بالصيف سالب D على DX V باتجاه + +187 +00:14:38,170 --> 00:14:46,970 +الـ I طبعا ليش مش partial؟ لأنه بس variableبس + +188 +00:14:46,970 --> 00:14:49,470 +variable بيبطل معنى لل partial هي partial ع + +189 +00:14:49,470 --> 00:14:52,530 +partial x ولا لأ؟ لكن ال partial بيبطل له معنى هو + +190 +00:14:52,530 --> 00:14:55,510 +لما يكون في x و y و z أو x و y على الأقل بقول + +191 +00:14:55,510 --> 00:14:59,130 +partial لكن لما يكون variable بيبطل فيه فرق ما بين + +192 +00:14:59,130 --> 00:15:06,610 +ال partial طب يلّا نشتغها دي بتساوي v1-v2 على d + +193 +00:15:06,610 --> 00:15:12,430 +اتجاه ال I لأ + +194 +00:15:12,430 --> 00:15:13,930 +و في سليبية بس + +195 +00:15:17,510 --> 00:15:26,750 +هي ايه؟ V1-V2 من اتجاه هذا V1 + +196 +00:15:26,750 --> 00:15:32,330 +-V2 + +197 +00:15:32,330 --> 00:15:38,870 +من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا + +198 +00:15:38,870 --> 00:15:39,250 +V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من + +199 +00:15:39,250 --> 00:15:39,690 +اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1 + +200 +00:15:39,690 --> 00:15:39,690 +-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه + +201 +00:15:39,690 --> 00:15:39,690 +هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من + +202 +00:15:39,690 --> 00:15:41,210 +اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1 + +203 +00:15:41,210 --> 00:15:46,250 +-V2 من اتجاه هذا V1-V2 من اتجاه هذا V1-V2 من اتج + +204 +00:15:47,290 --> 00:15:52,850 +ممتاز .. ممتاز .. سؤال مركزي إيش علوان الشبطة؟ + +205 +00:15:52,850 --> 00:15:57,810 +special technique بدي أتعلم تكنيكي جديدة قديم في + +206 +00:15:57,810 --> 00:16:04,330 +هالجهود مظبوط ولا لأ؟ حاجات .. columns له حفظها V + +207 +00:16:04,330 --> 00:16:11,290 +بتساوي تكامل DQ على R script صح؟ وفي قانون V + +208 +00:16:11,290 --> 00:16:18,490 +بتساوي ساوي تكامل E.DLهذا له مشاكله وهذا له مشاكله + +209 +00:16:18,490 --> 00:16:24,630 +صح طيب بدي قوانين جديدة لأتعلم هو بدي هاي قوانين + +210 +00:16:24,630 --> 00:16:30,270 +جديدة إذا أحيانا السؤال لها باستخدام هذا القوانين + +211 +00:16:30,270 --> 00:16:33,130 +جديد أحله ولا باستخدام هذا القوانين جديد أحله + +212 +00:16:33,130 --> 00:16:37,410 +فلازم انا أكون فيه عندى أكتر من تكنيك أكتر أحل فيه + +213 +00:16:37,410 --> 00:16:40,850 +هذا تكنيك جديد و دايما يا غديل لازم تفهمي شغلة + +214 +00:16:40,850 --> 00:16:45,790 +معينةكخلّيني أقول تأصيل علمي التأصيل العلمي ليش + +215 +00:16:45,790 --> 00:16:48,690 +بيقول أنك إنت لما تجيبلي دايما طريقة جديدة أول + +216 +00:16:48,690 --> 00:16:52,520 +حاجة تطبقها على شغل أنا معرفة علمها بقدر الطرقانت + +217 +00:16:52,520 --> 00:16:55,780 +عليا؟ فلما تيجي انت تجيب المثال بيجي سؤالك طب انا + +218 +00:16:55,780 --> 00:16:58,740 +بحله بطريقة تانية طب اه بس انا بدأ فارجيك انه برضه + +219 +00:16:58,740 --> 00:17:01,720 +الطريقة الجديدة اللي بتتعلميها بيجيب نفس النتيجة + +220 +00:17:01,720 --> 00:17:05,420 +عشان تجوي طريقة صحيحة فهاجد فيه بيجي سؤال طب انا + +221 +00:17:05,420 --> 00:17:08,360 +مش قادر احله بالطريقة الأولى بأركز ان احله بطريقة + +222 +00:17:08,360 --> 00:17:12,020 +تانية ولا لا لأنه اخاص اعمل test عليها و اتأكدت + +223 +00:17:12,020 --> 00:17:15,080 +فانت تجي اذا انا بتعلم ده على الطريقة الجديدة عشان + +224 +00:17:15,080 --> 00:17:22,520 +احل ذي بواسطة حلم عجب تفضليه بدون لا تكاملتمام؟ + +225 +00:17:22,520 --> 00:17:24,800 +إذا عرفت الاشياء اللي روحنا لها .. روحنا لها لأن + +226 +00:17:24,800 --> 00:17:27,380 +في بعض الأسئلة لما نستطيع الاستخدام هذا القانون أو + +227 +00:17:27,380 --> 00:17:32,640 +هذا القانون و بعدين بقى طبعا و احنا قدام كتر أسئلة + +228 +00:17:32,640 --> 00:17:35,740 +زي هيك عشان نتذكريني اضنى و أقولك لو استخدمنا + +229 +00:17:35,740 --> 00:17:39,700 +الطريقة هذه تنفع و تنفعش فاهمت عليك كيف؟ تمام + +230 +00:17:39,700 --> 00:17:40,120 +غيرها + +231 +00:17:45,960 --> 00:17:50,720 +لبلاس إيكويشن في إتوا دايميشن في إتوا دايميشن .. + +232 +00:17:50,720 --> 00:17:55,960 +إتوا كتبتكم أنا راح أتزد إيش ضار عندي؟ X و Y .. X + +233 +00:17:55,960 --> 00:17:59,440 +و Y طبعاً هذا الـ function الأن يعتمد على two + +234 +00:17:59,440 --> 00:18:03,860 +variables هل بدي أحور ال partial لـD؟ مقدرش، + +235 +00:18:03,860 --> 00:18:08,180 +بيقوللي خلّينا نبدأ على الـ Cartesian Coordinates، + +236 +00:18:08,180 --> 00:18:12,010 +برضه نضلنا في الـ Cartesian Coordinatesبيقول لي FV + +237 +00:18:12,010 --> 00:18:16,810 +عايز تعتمد فيك؟ X و Y اذا كان variable؟ two + +238 +00:18:16,810 --> 00:18:21,610 +variables جالي لابلاسيا اللي توي نجلتني ياهو ده + +239 +00:18:21,610 --> 00:18:24,830 +فارهك بال two dimension بس جولك D ولا جولك + +240 +00:18:24,830 --> 00:18:32,350 +partial؟ partial بدي أحلو .. بدي أحلو طيب هو أنا + +241 +00:18:32,350 --> 00:18:38,000 +ال ordinary اللي هو ال exact يعني لما كانت Dتربيع + +242 +00:18:38,000 --> 00:18:44,800 +على دي X تربيع مش partial هذا إله course كامل + +243 +00:18:44,800 --> 00:18:48,420 +أخدوه وسموه ordinary differential equation وعلوه + +244 +00:18:48,420 --> 00:18:52,120 +وطب لما يكون partial وقعد نصيب أقبع إذا هداك بده + +245 +00:18:52,120 --> 00:18:56,360 +course إذا هدا إيش بده؟ هدا بده تكنيكي جديد طبعا + +246 +00:18:56,360 --> 00:19:00,280 +طبعا الرياضيات إيش جالوا؟ جالوا إذا بتقدر أنت ال + +247 +00:19:00,280 --> 00:19:06,720 +partial اتحولها لدي مش partial بتجربصح ولا لأ؟ + +248 +00:19:06,720 --> 00:19:13,160 +بتجرب نيجي لمبدأ برضه تأصيل علمى يعني هو مافيش + +249 +00:19:13,160 --> 00:19:17,260 +اتعاون مشاكل بأصفر واحد ماينقصل تمام تأصيل علمى + +250 +00:19:17,260 --> 00:19:20,440 +كيف نقصل علمى؟ بيقولك انت ايش بدك؟ مش انت بدك + +251 +00:19:20,440 --> 00:19:24,760 +مجهول؟ اللي هو فيه، من تنسبك تجيبها دي؟ عارفها ولا + +252 +00:19:24,760 --> 00:19:28,980 +مجهولة؟ مجهولة و زمان العرب ايش قالوا؟ قالوا انت + +253 +00:19:28,980 --> 00:19:32,830 +بدك تاكل عنقب ولا بدك تجاتب اناطوربدي اناكل عينيها + +254 +00:19:32,830 --> 00:19:39,150 +مهم قال له V جيبليياها ايش تسوي فيها انت حر قال ها + +255 +00:19:39,150 --> 00:19:43,130 +دي V مازالها مجهولة وانت مش عارفها خمّط عينك شوية + +256 +00:19:43,130 --> 00:19:48,190 +بدي اقول ها دي V بدي افرضها بدي افرضها ما انت ما + +257 +00:19:48,190 --> 00:19:52,210 +ناس مش عارفها ولا انت عارفها ايش بدي انا ساويهابدي + +258 +00:19:52,210 --> 00:19:55,290 +أفرضها عبارة عن حاصل ضرب two functions هذه + +259 +00:19:55,290 --> 00:20:00,070 +function تعتمد على two variables بدي أفرضها حاصل + +260 +00:20:00,070 --> 00:20:03,610 +ضرب two functions function بدي أسميه capital X + +261 +00:20:03,610 --> 00:20:07,990 +يعتمد بس على X وfunction capital Y يعتمد على Y + +262 +00:20:07,990 --> 00:20:12,250 +حاجة تانيجي بتقولوا أنتوا أنا بدي V في الأول بدي V + +263 +00:20:12,250 --> 00:20:16,270 +لو جيبت X وY بكون جيبت بدي Y ولا لا؟ أش بسوي + +264 +00:20:16,270 --> 00:20:27,070 +بضربهم بعض صح ولا لأ؟ إذن بدل رد يهوداإذا .. إذا + +265 +00:20:27,070 --> 00:20:34,440 +urgent رضيك طيب أهإذاً معناته طبعا يا بنات انتوا + +266 +00:20:34,440 --> 00:20:36,460 +اللي أخدتوا mathematical physics عشان تعرفوا انا + +267 +00:20:36,460 --> 00:20:39,660 +وين رايح انا هذه separation of variables سمعتوا؟ + +268 +00:20:39,660 --> 00:20:42,680 +عارفين يعني وين رايح انا طيب انا فاتحملوني لأن انا + +269 +00:20:42,680 --> 00:20:46,160 +قاعد شويه شويه بمشيهم ده ده ده للبنات لأنه أول مرة + +270 +00:20:46,160 --> 00:20:51,580 +يسمعوا فيها كده أسلوب تمام؟ إذا رياضية حاجة مجهولة + +271 +00:20:51,580 --> 00:20:55,380 +تستطيع تفرضها اللي بدك إياها ماهي مجهولة مايبقى + +272 +00:20:55,380 --> 00:21:00,100 +دلوقت مجيب المجهول كم واحد جسمه مجهول إيه؟إذا + +273 +00:21:00,100 --> 00:21:04,820 +تكسيمه بتقدر تتغلب عليه و تجيبي المجهول ايه؟ صح و + +274 +00:21:04,820 --> 00:21:08,880 +عافية يعني نفترض ان المجهول اعتبر طوأ A زاد B و + +275 +00:21:08,880 --> 00:21:11,660 +جيبت A و B و جبت مجهولك ولا ما جبتش مجهولك؟ جبت + +276 +00:21:11,660 --> 00:21:14,960 +مجهولك، إذا أنا بدي أضحك على المعادلة دي حاجة عشان + +277 +00:21:14,960 --> 00:21:19,180 +أقدر أتعامل معاها، طب هالي لما أعملها هيك إيش بدي + +278 +00:21:19,180 --> 00:21:23,580 +أسوي؟ و إيش بصير معايا؟ يلّا خطوة خطوة أنا وياكم، + +279 +00:21:23,580 --> 00:21:31,320 +انشوفبيقول لي let z المجهول اللي أنا مش عارفه بدي + +280 +00:21:31,320 --> 00:21:34,300 +ألعب فيه كيف ما بدي و محدد بيقولي وين أنت؟ مانهاش + +281 +00:21:34,300 --> 00:21:37,900 +قيمة قولت عبارة عن capital X في capital Y طبعا إيش + +282 +00:21:37,900 --> 00:21:42,500 +صار معايا الآن؟ بدي أجيب هذين و أحطهم هنا لما أجيب + +283 +00:21:42,500 --> 00:21:49,280 +هنا عايش مفاضل أنا؟ بقدر أطلع Y؟ بطلع Y برا فبتصير + +284 +00:21:49,280 --> 00:21:56,490 +هذه capital Y دار شل إيش اللي دال؟الـ X بتعتمد على + +285 +00:21:56,490 --> 00:22:00,470 +الـ Convergent خلّيها بارشلون و ممكن أحليها D و + +286 +00:22:00,470 --> 00:22:05,030 +أخلّيها D capital X على D small X زائد .. هذي إيه + +287 +00:22:05,030 --> 00:22:11,290 +الشخص اللي طالع برا؟ الـ Capital X D capital Y على + +288 +00:22:11,290 --> 00:22:14,690 +D و .. طبعا تربيع .. تربيع .. تربيع .. تربيع .. + +289 +00:22:14,690 --> 00:22:15,250 +بتسويس .. + +290 +00:22:19,770 --> 00:22:25,170 +طبعا اول حاجة ايه سويت؟ تغلبت على اكبر مشكلة ان ال + +291 +00:22:25,170 --> 00:22:30,130 +partial بطلت partial صحيحك ولا لا؟ بطلت partial + +292 +00:22:30,130 --> 00:22:36,750 +خلاص لان هذه فقط تعتمد على X وهذه فقط تعتمد على Y + +293 +00:22:36,750 --> 00:22:43,270 +وبالتالي ال partial بطلت partial وعملت هيك طبعا + +294 +00:22:43,270 --> 00:22:46,810 +احنا بنسميها طريقة separation of .. ليه اسمناها + +295 +00:22:46,810 --> 00:22:51,590 +هيك؟بدنا نفسه طب هي مش مفسوقة لأ هدي Y و هدي X إيش + +296 +00:22:51,590 --> 00:22:57,130 +يسوي؟ جاله بسيطة جسم طرفي المعاجلة على capital X + +297 +00:22:57,130 --> 00:23:00,710 +capital Y على capital X capital Y إيش بصي معاك؟ + +298 +00:23:00,710 --> 00:23:04,570 +capital Y مع capital Y بس الواحد على capital X دي + +299 +00:23:04,570 --> 00:23:08,830 +تربيع capital X على DX تربيع زاد واحد على capital + +300 +00:23:08,830 --> 00:23:15,510 +Y دي تربيع capital Y على DY تربيع بساوة 0طلعت معهم + +301 +00:23:15,510 --> 00:23:17,850 +هيك .. احنا قاعدين نخبص زي ما كانوا نخبصوا اول ما + +302 +00:23:17,850 --> 00:23:22,390 +.. خلينا نقول اشتغلوا .. هو هيك اللي العلم بيصير + +303 +00:23:22,390 --> 00:23:26,690 +.. محولات .. تمام؟ هينا بنحاول .. اتطلعوا إيش صار + +304 +00:23:26,690 --> 00:23:30,510 +معاهم .. طبعا هم بس المشكلة أنه بيكون عدة محولات + +305 +00:23:30,510 --> 00:23:33,470 +.. ممكن أشهر معاهم .. احنا بيجينا مجشرة .. هو + +306 +00:23:33,470 --> 00:23:37,130 +قاعدين بيشرحها إلكم .. بنشاطر عليكم .. و هي تمام + +307 +00:23:37,130 --> 00:23:42,300 +تمام .. دعوني اتجادلوا إيش اللي طلع معاك ..هذا + +308 +00:23:42,300 --> 00:23:47,820 +term يعتمد فقط على X وهذا term يعتمد فقط على Y + +309 +00:23:47,820 --> 00:23:52,460 +الأصل أنه لما أغير X التاني تتغير هو ما ليش + +310 +00:23:52,460 --> 00:23:58,080 +دعواتها هيك الأصل هادي تتغير .. غير X بتتغير + +311 +00:23:58,080 --> 00:24:00,780 +capital X بس مش أنا هضعها في capital Y بس انت إيش + +312 +00:24:00,780 --> 00:24:05,360 +عاملينه؟ و لتهادي بتساوي سلب هادي يعني إذا أتغيرت + +313 +00:24:05,360 --> 00:24:09,650 +هادي، هادي بيبقى بتتغيرإذن مش ممكن رياضيًا هذا + +314 +00:24:09,650 --> 00:24:15,870 +الكلام يتقطع إلا في حالة واحدة أعيد هل جيت أنا لو + +315 +00:24:15,870 --> 00:24:19,650 +قلت A زائد B بتساوي سكرة في مشكلة أقول له A بتساوي + +316 +00:24:19,650 --> 00:24:26,290 +سالب B؟ طيب، لو هذه خمسة، هذه كم؟ طب لو هذه سبعة؟ + +317 +00:24:26,810 --> 00:24:31,170 +هذا يعني أن هذا يتبع هذا وهذا يتبع هذا وهذا يتبع + +318 +00:24:31,170 --> 00:24:31,250 +هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +319 +00:24:31,250 --> 00:24:31,250 +يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا + +320 +00:24:31,250 --> 00:24:31,330 +وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +321 +00:24:31,330 --> 00:24:32,470 +يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا + +322 +00:24:32,470 --> 00:24:32,490 +وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +323 +00:24:32,490 --> 00:24:32,490 +يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا + +324 +00:24:32,490 --> 00:24:33,450 +وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا + +325 +00:24:33,450 --> 00:24:39,550 +يتبع هذا وهذا يتبع هذا وهذا يتبع هذا وهذا يتبع هذا + +326 +00:24:39,550 --> 00:24:47,310 +وهذا + +327 +00:24:47,310 --> 00:24:52,900 +يلأ الاصل هادي تعتمد على X لكي تغيرها الاصل هادي + +328 +00:24:52,900 --> 00:24:57,300 +ما تتغيرش لكن كونهم مرتبطة في معادلة معناته هادي + +329 +00:24:57,300 --> 00:25:01,860 +تعتمد على هادي وهذا مش صحيح مش ممكن يكون إلا في + +330 +00:25:01,860 --> 00:25:05,720 +حالة واحدة أنه إذا هذا بيساوي constant وهذا بيساوي + +331 +00:25:05,720 --> 00:25:08,380 +constant لما هادي بيساوي constant يعني أنا أغير X + +332 +00:25:08,380 --> 00:25:12,320 +لما اتموت تتغير؟ لأ وإذا ما أتغير ليش هادي بتتغير؟ + +333 +00:25:12,320 --> 00:25:17,740 +لأإذاً هذا رياضيا لا يتأتى إلا إذا كل واحدة منهم + +334 +00:25:17,740 --> 00:25:22,580 +ساوت constant معاها هل + +335 +00:25:22,580 --> 00:25:27,420 +كمان؟ أنا بدي أقول بس تختنعوا حتى لو كان كذب لمرة + +336 +00:25:27,420 --> 00:25:30,660 +واحدة لأنه مش شغلتي يعني هذه حكاية ال separation + +337 +00:25:30,660 --> 00:25:33,180 +of variables أنا عندي شباب قولت separation of + +338 +00:25:33,180 --> 00:25:37,180 +variables وظلتني ماشي خلاص عارفينها لأنهم أخدوهابس + +339 +00:25:37,180 --> 00:25:42,240 +عشانكم احنا بنرجع لأصل الموضوع بكيف صار لإنه + +340 +00:25:42,240 --> 00:25:44,500 +يستخدم كتير في ال differential equation لو أخدتوا + +341 +00:25:44,500 --> 00:25:48,920 +differential equation أخر أسبوعين تلاتة بتدوقكم + +342 +00:25:48,920 --> 00:25:51,780 +هذه الشغلات الجابة الأخيرة هيطلع مش الأخر يعني + +343 +00:25:51,780 --> 00:25:56,060 +فيعطي هذا الموضوع لكن مش معقد يعني الأمور سهلة جدا + +344 +00:25:56,060 --> 00:26:02,640 +تمام قال لي إذا هي اعتبر هدف ثابت و هدف ثابت وشوف + +345 +00:26:02,640 --> 00:26:07,710 +إيش بيطلع معاهإذا خلّينا بس نعيد اللي أنا بحكيه + +346 +00:26:11,670 --> 00:26:15,270 +إذاً لما حطيت .. طلعت ال capital Y و طلعت ال + +347 +00:26:15,270 --> 00:26:19,110 +capital X و ال partial حوّرته ل ordinary جسم + +348 +00:26:19,110 --> 00:26:23,410 +المعادلة by capital X في capital Y صار عندي هذه + +349 +00:26:23,410 --> 00:26:26,710 +المعادلة اللي كتبتها الانش بيقول إيه؟ since each + +350 +00:26:26,710 --> 00:26:31,090 +term .. كل حد depends only in one variable كل term + +351 +00:26:31,090 --> 00:26:35,250 +يعتمد على variable هذا يعتمد فقط على X وهذا يعتمد + +352 +00:26:35,250 --> 00:26:40,300 +فقط على Yكل علم علمي و علوم الرياضيات بتقول هذا لا + +353 +00:26:40,300 --> 00:26:48,640 +يتعدى إلا إذا كل حد سوى constant ايش + +354 +00:26:48,640 --> 00:26:53,600 +تسمي ال constant انت حر؟ إذا سميتها ده K واحد + +355 +00:26:53,600 --> 00:26:56,440 +بالسوء و ده K اتنين، لكن سميتها K واحد بالسوء سلب + +356 +00:26:56,440 --> 00:27:00,700 +K اتنين، مظبوط؟ لأن العلاقات تتربطوا، تمام، إذا + +357 +00:27:00,700 --> 00:27:05,540 +خلّي الأولاني C واحد وخلّي التاني C اتنين، في + +358 +00:27:05,540 --> 00:27:09,970 +مشكلة؟بحيث انه انا بقدر اقول ساعتها C1 زي C2 + +359 +00:27:09,970 --> 00:27:16,650 +بيساوي Zero يعني C1 بيساوي سالب C2 تم اذا C1 زي C2 + +360 +00:27:16,650 --> 00:27:21,530 +بيساوي سفر اذا C1 بيساوي سالب C2 وخلي C1 يساوي K + +361 +00:27:21,530 --> 00:27:32,180 +تربيع برضه نرجع لأصل العلمفابت كي تربية كي تربية + +362 +00:27:32,180 --> 00:27:36,580 +كي تربية كي تربية كي تربية كي تربية كي تربية كي + +363 +00:27:36,580 --> 00:27:41,940 +تربية كي تربية كي تربية كي تربية كي تربية كي تربية + +364 +00:27:41,940 --> 00:27:44,530 +كي تربية كي تربيةسبتها من أول افرضها كتربيع طيحك + +365 +00:27:44,530 --> 00:27:48,170 +وبالنهاية مانت قاعد تفرض فراط وحد مدور عليك من + +366 +00:27:48,170 --> 00:27:51,690 +هناك و هنا في الآخر مازال أسهلك تفرض كتربيع افرض + +367 +00:27:51,690 --> 00:27:54,770 +من أول كتربيع كنتوا عارف كيف؟ بدل ما حط ك بطلنا + +368 +00:27:54,770 --> 00:27:57,530 +بقول square root of k square root of k لأ من أول + +369 +00:27:57,530 --> 00:28:02,130 +حط كتربيع بسهل عليك الشغل إذا هذه إيه؟ بعد محاولات + +370 +00:28:02,130 --> 00:28:07,590 +تصفى الأمور تصفى تمام إذا C1 احكي + +371 +00:28:11,730 --> 00:28:18,790 +C1 هي كتر بيعة مظبوط؟ كده الـC2؟ سالب كتر بيعة + +372 +00:28:18,790 --> 00:28:22,870 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +373 +00:28:22,870 --> 00:28:22,870 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +374 +00:28:22,870 --> 00:28:23,890 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +375 +00:28:23,890 --> 00:28:23,950 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +376 +00:28:23,950 --> 00:28:32,250 +مدهش، مدهش، مدهش، مدهش، مدهش، مدهش، + +377 +00:28:32,250 --> 00:28:38,750 +مد + +378 +00:28:41,150 --> 00:28:46,750 +أنا بدأت بمعادلة صفيت فاكرة معادلة معادلتين + +379 +00:28:46,750 --> 00:28:53,750 +معادلتين تمام هذه + +380 +00:28:53,750 --> 00:28:58,410 +معادلة اللي أخد differential equation بصري ضحكوا + +381 +00:28:58,410 --> 00:29:02,630 +يقولون يضهجون في هذه المعادلة حلناها مئة مرة مظبوط + +382 +00:29:02,630 --> 00:29:06,530 +ولا لا؟ لكن اللي ما بعرفش مفتحته ويقول هذا كده و + +383 +00:29:06,530 --> 00:29:11,880 +هذا حلهي هيك طبعا الأمور يعني هيك العلم بيجي ده من + +384 +00:29:11,880 --> 00:29:14,400 +الشغل المجهول الصعب والشغل المعلومي ممكن تقول هي + +385 +00:29:14,400 --> 00:29:19,340 +أصل حاجة مظبوط ولا لأ تمام هذه معادلة وهذه معادلة + +386 +00:29:19,340 --> 00:29:22,960 +طبعا لما أجى أعملها أنا هذه معادلة وأرقبها بيصير D + +387 +00:29:22,960 --> 00:29:27,300 +تربيع capital X ع دي X تربيع نافس K تربيع capital + +388 +00:29:27,300 --> 00:29:31,080 +X بالساوية زفرة واللي تحتها D تربيع capital Y ع دي + +389 +00:29:31,080 --> 00:29:34,900 +Y تربيع زائد K تربيع capital Y بالساوية زفرة مظبوط + +390 +00:29:34,900 --> 00:29:41,000 +ولا لأ ايش افراجات هذه سالب وهذهموجة تمام قعدت أنا + +391 +00:29:41,000 --> 00:29:45,800 +أشوف إيش بتسوي في طلاب مش ماخدين differential + +392 +00:29:45,800 --> 00:29:49,880 +equation فروحوا تشيحاتي تحل استنوني شوية بس + +393 +00:29:49,880 --> 00:29:55,500 +هالشغلة من ال differential equation يعني هذا مش + +394 +00:29:55,500 --> 00:30:00,660 +مطلوب منكم بس خلينا نشوف كيف أشوف بنجح أني أدرس + +395 +00:30:00,660 --> 00:30:06,060 +differential equation ولا لا تمامبقولوا بصورة عامة + +396 +00:30:06,060 --> 00:30:08,280 +لو عندك definition of a function بهذا الشكل احنا + +397 +00:30:08,280 --> 00:30:13,340 +يا بنات لو كان عندي معادلة A أو خلّيني أقول هيك + +398 +00:30:13,340 --> 00:30:19,380 +خمسة X تربيع ذات اتنين X ذات تلاتة بالساعة و سفر + +399 +00:30:19,380 --> 00:30:23,000 +كيف بنحلها؟ + +400 +00:30:24,960 --> 00:30:28,900 +القانون العام أو بنحللها طب انت شوف لو دورت + +401 +00:30:28,900 --> 00:30:32,980 +القانون العام ولا التحليل مش هو محاولاتك انت لما + +402 +00:30:32,980 --> 00:30:36,060 +حاطه جوس جوس بصير تقوله اضرب اضرب اضبط اذا ماضبطتش + +403 +00:30:36,060 --> 00:30:39,940 +تقول محاولات مابقعد احاول في الآخر اذا ضبطت ماجوال + +404 +00:30:39,940 --> 00:30:44,100 +حال صح مظلوم ولا لأ في الآخر كيف انا بأضمن انه ده + +405 +00:30:44,100 --> 00:30:49,820 +حال دعوت هناصح ولا لأ؟ إذن هي حلول المعادلات بصورة + +406 +00:30:49,820 --> 00:30:53,200 +عامة دايما نترايك .. نحاول .. كانوا .. هذه كتير ده + +407 +00:30:53,200 --> 00:30:56,480 +حلول .. هي مضطرات صراحة .. كانوا يفكروا .. يشوف كم + +408 +00:30:56,480 --> 00:31:00,520 +دي محاولة .. و عندهم كام من المعلومات .. قالوا فيه + +409 +00:31:00,520 --> 00:31:05,080 +function .. اعطونا رياف رياضيات يوردين أحلى .. كل + +410 +00:31:05,080 --> 00:31:09,070 +ما اتفاضلوا بيضلوا زي ما هو ..كل ما اتفاضوا بيظلوا + +411 +00:31:09,070 --> 00:31:12,330 +زي ما هو .. ماهو الfunction؟ الـ Exponential قالوا + +412 +00:31:12,330 --> 00:31:15,190 +يا رجل المفروض انت واش وراك افرض و نشوف اي حالة + +413 +00:31:15,190 --> 00:31:22,010 +فقالوا كل معادلة بهذا الشكل قطعا حالها بيكون هيك + +414 +00:31:22,010 --> 00:31:25,530 +شوفوا انتوا ماندوش حال دائما exact قالوا e to the + +415 +00:31:25,530 --> 00:31:27,510 +power of x هو اللي قالوا e to the power of rx + +416 +00:31:27,510 --> 00:31:32,870 +وrشيه قالوا انت حر المعادلة اللي بتحددها المعادلة + +417 +00:31:32,870 --> 00:31:36,810 +اللي بتحددهاتمام؟ يعني هذه اللي طبعا مش موجودة + +418 +00:31:36,810 --> 00:31:39,270 +عينكم لإن هو هذه زيادة أكيد لإن هو هذه زيادة اللي + +419 +00:31:39,270 --> 00:31:43,730 +عملناها عشان الاستثناء اللي موجود في السنة هذه انه + +420 +00:31:43,730 --> 00:31:48,250 +مش ماخدين differential equation فهذا طبعا جيبته + +421 +00:31:48,250 --> 00:31:50,470 +منهم كتب ال differential equations يعني موجود في + +422 +00:31:50,470 --> 00:31:53,790 +.. لو بكرا بتاخدوا differential equations بتذكرونه + +423 +00:31:53,790 --> 00:31:58,130 +انه أخدتوها يعني انتوا خدتوا خلوها خلصوها طبعا طلع + +424 +00:31:58,130 --> 00:32:01,350 +كده حل أنا حاجة أنا بتدعي أنه هذا حل إيش أفوه + +425 +00:32:01,350 --> 00:32:06,270 +يهودة؟ أنا بتدعي أنه حلبدي أعوض فوق عشان أعوض ايش + +426 +00:32:06,270 --> 00:32:12,070 +بدي أفعل هنا بدي أفضل مرتين اشتقى أول مرة مش DY + +427 +00:32:12,070 --> 00:32:18,010 +على DX بيساوي RE طب ورق RX صح ولا لأ اشتقى كمان + +428 +00:32:18,010 --> 00:32:25,990 +مرةبساوي R تربيه A to power RX صح؟ أي عمود هان A R + +429 +00:32:25,990 --> 00:32:32,430 +تربيه A to power RX plus B R A to power RX plus C + +430 +00:32:32,430 --> 00:32:36,470 +A to power RX بساوي سفر طبعا إيش ال exponential + +431 +00:32:36,470 --> 00:32:39,910 +أطيره بصحيح اللي طير ال exponential ولا بصحيح اللي + +432 +00:32:39,910 --> 00:32:45,250 +إيش؟أو أقوم بالنسبة لي أو أضربه في إيه تبارك الله + +433 +00:32:45,250 --> 00:32:49,670 +بـRX أسأل عندي AR تربيع plus PR plus C بالساوية + +434 +00:32:49,670 --> 00:32:54,330 +سفرية بتقدر تجيب ريار من هذه المعادلة؟ زي هذه + +435 +00:32:54,330 --> 00:33:00,250 +بتقدر تجيب R؟ خلاص إذا الحل اللي انت فرضته وخليت R + +436 +00:33:00,250 --> 00:33:03,930 +مجهولة جبتلك إياها مين جابها؟ المعادلة تبعتك؟ اللي + +437 +00:33:03,930 --> 00:33:07,110 +بيتحلها تمام؟ أه أستنى شوية + +438 +00:33:12,750 --> 00:33:28,670 +تشاطر ايش اسمها؟ كده عامة شاطرة اسمها احكى + +439 +00:33:28,670 --> 00:33:34,270 +يومانة، سليم تشاطر + +440 +00:33:34,270 --> 00:33:40,190 +يا اليوم، قول يا نسمع حتى اليوملحد الآن واضحة يا + +441 +00:33:40,190 --> 00:33:47,780 +بنات طبعا أنا بكمل طلعت هيكأذا زي ما اتفقنا انا + +442 +00:33:47,780 --> 00:33:53,960 +افرض ان Y تساوي ايه تبارع R X؟ R A R هذي من وين + +443 +00:33:53,960 --> 00:33:57,740 +بتيجي؟ بيقولي هذي R هي الروس المعادلة هذي اللي + +444 +00:33:57,740 --> 00:34:03,300 +عملت أنا وياكم A R تربية plus B R plus C طبعا هذي + +445 +00:34:03,300 --> 00:34:07,980 +لما بيجي أحلها بالقانون العام نجليني جمالة R ساوي + +446 +00:34:07,980 --> 00:34:15,540 +سالف B زي أدو ناقص جزء تربيعيلأ بتربيع ناقص 4a في + +447 +00:34:15,540 --> 00:34:21,900 +c على 2a أكم root بتطلع عندى؟ أكم حل؟ حل إيه؟ تمام + +448 +00:34:21,900 --> 00:34:27,560 +بيقولى مرات بتطلع عندك تلت حالات لو هذه أكبر من + +449 +00:34:27,560 --> 00:34:31,800 +هذه بتطلع imaginary ولا لا؟ بتطلع imaginary ومرات + +450 +00:34:31,800 --> 00:34:36,560 +ال two roots بيسووا بقد مظهروا لأ؟ إذا في عندي تلت + +451 +00:34:36,560 --> 00:34:41,790 +حالات بيقولك where R1 and R2 اللي هم ال two rootsR + +452 +00:34:41,790 --> 00:34:49,430 +real if R1 and R2 أول حالة إذا R1 وR2 real لكن + +453 +00:34:49,430 --> 00:34:53,430 +مختلفين عن بعض، بيساويش بعض، تمام؟ إيش بيطلع عندك + +454 +00:34:53,430 --> 00:34:59,690 +الحل؟ بيقولّي الحل هيطلع كالتالي هذا اللي أخدته + +455 +00:34:59,690 --> 00:35:08,090 +أكيد A R1 X plus B R2 X طب هنطلع هنا، هيا لما يكون + +456 +00:35:08,090 --> 00:35:09,830 +في عندك اتنين R عبارة عن حلين يعني + +457 +00:35:37,340 --> 00:35:38,740 +R1R2R3R4R5R6R7R8R9R10R11R12R13R13R14R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15R15 + +458 +00:35:39,830 --> 00:35:47,150 +تحط جنبه X تمام؟ طبعا لو اي واحد ايجي يشطق ويحط + +459 +00:35:47,150 --> 00:35:53,650 +هناك هيلاقيها صحيحة تمام تالت بيقولي اذا R واحد + +460 +00:35:53,650 --> 00:36:04,630 +بتساوي R اتنين وبتساوي imaginary imaginary كيف + +461 +00:36:04,630 --> 00:36:07,530 +تجي imaginary؟ بتشوف ايش اللي بسيطة؟ ايش الفرق بين + +462 +00:36:07,530 --> 00:36:13,090 +هذه و هذه؟هجيتك قرنوني بين هذه وهذه شوية شوية قبل + +463 +00:36:13,090 --> 00:36:18,150 +ما اخلص الشريحة الداخلية هذي انا بعتبرها داخلية + +464 +00:36:18,150 --> 00:36:22,090 +هذي هك بس بدي اقارن بين هذه وهذه و بين هذه وهذه + +465 +00:36:22,090 --> 00:36:28,250 +ايش الفرق بينهم الفرق أولا C جديش في الحالتين C0 + +466 +00:36:28,250 --> 00:36:43,300 +برافو في الحالة الأولى A1 و B كتربيةA1 وB0 اذا B0 + +467 +00:36:43,300 --> 00:36:52,910 +تمام ها دي اكل B0 معناته A بتساوي 1ب بيبتساوي زيرو + +468 +00:36:52,910 --> 00:36:59,090 +C إما بتساوي plus or minus كتربيع صح ولا لأ؟ تمام + +469 +00:36:59,090 --> 00:37:05,150 +الفجانية الفجانية سالب كتربيع احنا اتفقنا الـB + +470 +00:37:05,150 --> 00:37:09,630 +جديش؟ Zero إذا الـR بتساوي زائد أو ناقص الجزء + +471 +00:37:09,630 --> 00:37:13,910 +التربيعي لو ناقص أربعة A C على اتنين A لأن الـB + +472 +00:37:13,910 --> 00:37:18,880 +صفرهل جيت؟ ال C كانت ايش؟ طيب احنا بقول اه ال C + +473 +00:37:18,880 --> 00:37:23,620 +كانت ربيع لو كانت سالب سالب مع سالب موجبة بتطلع + +474 +00:37:23,620 --> 00:37:28,540 +real لكن لو كانت ال C موجبة و هنا فيه سالب تطلع + +475 +00:37:28,540 --> 00:37:33,860 +imaginary صح؟ اذا ممكن تكون imaginary او real اللي + +476 +00:37:33,860 --> 00:37:40,920 +فوق real و اللي تحت imaginary تمام؟ حلو هدول طبعا + +477 +00:37:40,920 --> 00:37:47,110 +لما نيجي نعملهبتكون الحل بهذا الشكل طبعا الف ذا اد + +478 +00:37:47,110 --> 00:37:50,710 +اي بيتا الالفة و البيتا ده هما طبعا في حالتي ما + +479 +00:37:50,710 --> 00:37:55,290 +جديش الف بي سفر فالف سفر بتكون بيتا هنا اربع ا سي + +480 +00:37:55,290 --> 00:38:00,630 +نخس بيتا أس دربيع بتروح فبتكون الحل بهذا الشكل a + +481 +00:38:00,630 --> 00:38:03,070 +to the power of alpha x a to the power of sine + +482 +00:38:03,070 --> 00:38:06,290 +beta x plus b cosine طبعا انا في حالتي الف سفر + +483 +00:38:06,290 --> 00:38:09,590 +فبالتالي بتكون الحل هيك اللي هو + +484 +00:38:12,970 --> 00:38:18,790 +هذه الشريحة الداخلية او الشريحة الداخلية طبعا انا + +485 +00:38:18,790 --> 00:38:22,570 +لو اجيت بده حل مع طالباتي اللي ماخدين differential + +486 +00:38:22,570 --> 00:38:26,710 +equation بقولهم كيف بده حل هذه بقولولي هذه بصير + +487 +00:38:26,710 --> 00:38:35,070 +عبارة عن خليني اقول R تربيع ناقص K تربيع بتساوي + +488 +00:38:35,070 --> 00:38:41,620 +سفر اذا R بتساوي زائد او ناقص Kمن اللي توجلى عليها + +489 +00:38:41,620 --> 00:38:49,040 +لحكاية التربية؟ ذاكره؟ بدي R يا هدى كيه و لا كيه + +490 +00:38:49,040 --> 00:38:51,760 +.. لو ك .. انا كنت فرض من أول كيه مش بتحط score + +491 +00:38:51,760 --> 00:38:55,560 +root عشان كده راح حطها من أول كيه تربية عشان بتقول + +492 +00:38:55,560 --> 00:39:00,240 +R فهمت علي كيف؟ هو قاعد بشتري ذاكره لسؤالك؟ + +493 +00:39:00,240 --> 00:39:04,800 +وبالتالي قاللي لو انا حطيتها كيه هتقوللي هيك؟وهذه + +494 +00:39:04,800 --> 00:39:09,280 +بتغلب من أول حتى K تربيع وبالتالي حلّك E to power + +495 +00:39:09,280 --> 00:39:13,360 +plus or minus بدل R اللي هو E to power of R X K X + +496 +00:39:13,360 --> 00:39:18,160 +لكن لو كانت هذه موجبة بصيحة عندك R تربيع plus K + +497 +00:39:18,160 --> 00:39:25,020 +تربيع بتساوي سفر إذا R بتساوي زائد أو ناقص I K I K + +498 +00:39:25,020 --> 00:39:29,240 +هل جيت .. هل انتوا أخدتوا في كالكولاس P E to power + +499 +00:39:29,240 --> 00:39:35,930 +of I X إيش بتساوي؟Sin و Cos صحيح؟ وبالتالي بدل ما + +500 +00:39:35,930 --> 00:39:39,510 +تقولي a e to the power of i x plus b e to the + +501 +00:39:39,510 --> 00:39:43,530 +power of minus i k x إيش تقريبا تكتبها؟ أكتبها a + +502 +00:39:43,530 --> 00:39:53,070 +sin kx plus b cos kx وخلاص فلما + +503 +00:39:53,070 --> 00:39:57,590 +تكون imaginary الحل بدل ما يكون exponential يحول + +504 +00:39:57,590 --> 00:40:03,040 +إلى sin و cosلما يكون imaginary ما زالها I بصير + +505 +00:40:03,040 --> 00:40:08,220 +الحال Sin و Cos نرجع .. لأ .. نرجع إلى هنا هذه + +506 +00:40:08,220 --> 00:40:14,400 +الشريحة الداخلية خلصنا منها نرجع إلى هنا إذن + +507 +00:40:14,400 --> 00:40:21,780 +هذه لما أجي أعملها صارت ماقص كتربيع فهي حالها وهذه + +508 +00:40:21,780 --> 00:40:28,420 +قال لي هي حالها طيب أنت إيش بدك؟ بدك XY ولا بدك V؟ + +509 +00:40:29,360 --> 00:40:35,320 +بدي V ايش فرضي V انت؟ X في Y هذي + +510 +00:40:35,320 --> 00:40:39,760 +هرجيت انا كيف بدي السؤال؟ بقولكم هاي الحالة اذا + +511 +00:40:39,760 --> 00:40:43,500 +هذا الحل يُعطيلكم هذا الحل يُعطيلكم شوفوا لو + +512 +00:40:43,500 --> 00:40:51,340 +فهمتوا 40% ضاري عشطر البحر هذي الشرف بكافكم مش + +513 +00:40:51,340 --> 00:40:56,060 +كلكممش كلكم اللي مش باخدين Default Interlocution + +514 +00:40:56,060 --> 00:41:00,520 +تمام أما الباجين بتبقوا يقولوا 120% المفروض يكون + +515 +00:41:00,520 --> 00:41:05,940 +مفهوم له تمام أما أنتوا تعرفوا أن هذا حل المعادلة + +516 +00:41:05,940 --> 00:41:10,440 +التفاضلية هيك شكله هيك شكله في النهاية أنا حاطيكم + +517 +00:41:10,440 --> 00:41:15,140 +إياه دائما دائما حاطيكم إياه و لو ممكن أطفو منكم + +518 +00:41:15,140 --> 00:41:19,160 +تحلوا المعادلة التفاضلية اتفهمنا؟ بس بدي إياكم + +519 +00:41:19,160 --> 00:41:22,960 +مايكونش ثلاثم بالنسبالكمأكتر من كده مابديش منكم + +520 +00:41:22,960 --> 00:41:27,500 +يعني تكونوا عارفين انه والله بشوية تعب بنجيب يعني + +521 +00:41:27,500 --> 00:41:31,680 +ما .. ماجيبش حاجة جديدة من .. من عندهم أي استفسار + +522 +00:41:31,680 --> 00:41:35,480 +قبل ما نكمل؟ + +523 +00:41:35,480 --> 00:41:38,160 +الان ايش هم اللي بيدي .. طب انا .. انا بدي أديكم + +524 +00:41:38,160 --> 00:41:41,760 +الحل ايش بدك انت منيه؟ بدي ثواب، انت كم ثواب + +525 +00:41:41,760 --> 00:41:51,250 +بتطلعه؟ خمسةمع K إذاً A وB وC وD وK من وين أجيبهم؟ + +526 +00:41:51,250 --> 00:41:54,350 +من ال boundary conditions إذاً بيقولي where A, B, + +527 +00:41:54,430 --> 00:41:57,970 +C, D and K are constants to be determined from the + +528 +00:41:57,970 --> 00:42:02,210 +boundary conditions تانا تانا تانا تانا تانا تانا + +529 +00:42:02,210 --> 00:42:12,190 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +530 +00:42:12,190 --> 00:42:12,710 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +531 +00:42:12,710 --> 00:42:12,910 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +532 +00:42:12,910 --> 00:42:13,530 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +533 +00:42:13,530 --> 00:42:13,670 +تانا تانا تانا تانا تانا تانا تانا تانا تانا تانا + +534 +00:42:13,670 --> 00:42:16,720 +تانانت تقول قولتي ليه؟ ليش بيبقى نرجعله؟ هاي في + +535 +00:42:16,720 --> 00:42:22,420 +سؤال .. هاي مثال .. بيقول .. to infinite .. to + +536 +00:42:22,420 --> 00:42:27,440 +infinite .. grounded .. plates .. lie parallel to + +537 +00:42:27,440 --> 00:42:31,460 +the ways of the planeخلّيني أرسمها عشان نقرأ + +538 +00:42:31,460 --> 00:42:35,240 +السؤال صح بيقول الـ two plates الزرق هدول infinite + +539 +00:42:35,240 --> 00:42:39,580 +كيف infinite؟ يعني من هنا رايحة على مالة نهاية و + +540 +00:42:39,580 --> 00:42:41,580 +هيك رايحة على مالة نهاية و من هنا رايحة على مالة + +541 +00:42:41,580 --> 00:42:46,160 +نهاية تمام؟ مار و هيك اللي تحتها زيها للمالة + +542 +00:42:46,160 --> 00:42:49,900 +النهاية و هيك بتروح لناقص مالة نهاية يعني ال Z من + +543 +00:42:49,900 --> 00:42:54,120 +مالة نهاية لناقص مالة نهاية و ال X من الصفر لمالة + +544 +00:42:54,120 --> 00:42:58,880 +نهايةتمام؟ و ال Y لأ ما هي عمودية ال Y بتتغير + +545 +00:42:58,880 --> 00:43:03,200 +لشيلة حمرة تمام إذن لإن هي في ال X دي plane تمام + +546 +00:43:03,200 --> 00:43:08,160 +when ال Y بتساوي سفر تحتانية حاططها على الأرض عند + +547 +00:43:08,160 --> 00:43:14,100 +Y بتساوي سفر and the other ال Y بتساوي إيه + +548 +00:43:14,100 --> 00:43:19,420 +الفجانية المسافة اللي بينهم إيه تمام؟ the left end + +549 +00:43:19,420 --> 00:43:27,770 +الطرف الأيسرis closed off with an infinity strip + +550 +00:43:27,770 --> 00:43:32,130 +insulated from the two plates and maintained at + +551 +00:43:32,130 --> 00:43:36,230 +potential V0 روحت حطات الـ strip الحمرة هذه بينهم + +552 +00:43:36,230 --> 00:43:41,470 +عند X بالساوية صفر واعتبرت جهدها بساوية V0 كل هذا + +553 +00:43:41,470 --> 00:43:47,810 +معطيات تم find V and E، جيب V و لا E، ما هي بتنجح + +554 +00:43:47,810 --> 00:43:53,610 +بلحالها between the plates، وين بدو؟between the + +555 +00:43:53,610 --> 00:43:57,090 +place إذا المنطقة معروفة أو ليست معروفة، بدي + +556 +00:43:57,090 --> 00:44:00,990 +حدودها بدي حدودها، ما هو إيش معاك border + +557 +00:44:00,990 --> 00:44:04,150 +condition؟ بدي عند حدودها جدّيش فيه، أول بدي أعرف + +558 +00:44:04,150 --> 00:44:08,690 +حدودها طبعا هي x و y، ما هتدعو بال z لأن ال z من + +559 +00:44:08,690 --> 00:44:13,150 +سلب ما لنهاية لما لنهاية، مافيش منطقة، x و y أول + +560 +00:44:13,150 --> 00:44:20,440 +حد x إيش متساوي؟ Zero، التاني ما لنهاية، ال yزيرو + +561 +00:44:20,440 --> 00:44:26,260 +و ال A إذا بدي V عند X بتسوي سفر V عند X بتسوي ملا + +562 +00:44:26,260 --> 00:44:33,000 +نهاية V عند Y بتسوي Zero و Y بتسوي A حلو نبدأ في + +563 +00:44:33,000 --> 00:44:37,860 +ال Y لما Y تسوي سفر وين بكون؟ على أي plate؟ لما + +564 +00:44:37,860 --> 00:44:41,900 +أكون أنا .. على ال plate التحتانية جدي كتير إذا + +565 +00:44:41,900 --> 00:44:46,190 +مُعطَى عند Y بتسوي A؟ على أي plate بكون؟V ما + +566 +00:44:46,190 --> 00:44:51,150 +أعطيها؟ جديش؟ Zero لما X تسوى سفر عليه إبنك مابون + +567 +00:44:51,150 --> 00:44:56,530 +الحمراء V not و الأخيرة مانا نهاية لتو ولا قانون + +568 +00:44:56,530 --> 00:45:00,510 +جديش؟ عند ما أنا نهاية؟ Zero هاي ال boundary كنتش + +569 +00:45:00,510 --> 00:45:05,330 +يتعوني هي ال boundary كنتش يتعوني solution شوفت + +570 +00:45:05,330 --> 00:45:09,450 +هذا الحل؟ من يدّاكم إياه؟ إحنا ندّيكم إياه اللي تو + +571 +00:45:09,450 --> 00:45:15,410 +تعبنا عليه تمام؟ هذا حل بنقول أه والله ادّونيالو + +572 +00:45:15,410 --> 00:45:19,890 +جيبناها في الدفتر موجود في الكتاب موجود عشان أجيب + +573 +00:45:19,890 --> 00:45:23,590 +الثواب تشوف هم ال boundary condition هاي واحد وهي + +574 +00:45:23,590 --> 00:45:27,690 +اتنين وهي تلاتة وهي أربعة طلعوا عليهم وشوفوا اللي + +575 +00:45:27,690 --> 00:45:34,050 +توا حاكيناههم خلاص + +576 +00:45:34,050 --> 00:45:37,890 +أنا حاضر اه طيب ال boundary condition هم همين هم؟ + +577 +00:45:38,690 --> 00:45:43,250 +خلاص بنكمل المرة الجاية لإنه بدها شغل بينفعش نسلك + +578 +00:45:43,250 --> 00:45:44,750 +حس عليك، يعطيكوا العافية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/h3Ol97y2518_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/h3Ol97y2518_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..c925ddd4459bb67aa1f0688e42db53300c41d9b2 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/h3Ol97y2518_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 3984, "start": 20.96, "end": 39.84, "text": "بعد بسم الله نستأنف و نوصلنا احنا أخدنا المقدمة الرياضية على ال vectors و شوفنا كيف بنتعامل معاهم و راجعناهم مراجعة سريعة الان بدنا نخش شوية على ال differential calculus", "tokens": [3555, 22488, 4724, 38251, 21984, 8717, 14851, 33456, 5172, 4032, 8717, 2407, 36520, 8315, 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"end": 177.12, "word": " factor", "probability": 0.91748046875}, {"start": 177.12, "end": 177.54, "word": " هو", "probability": 0.7255859375}, {"start": 177.54, "end": 177.72, "word": " الـ", "probability": 0.4068603515625}, {"start": 177.72, "end": 178.18, "word": " proportionality", "probability": 0.404510498046875}, {"start": 178.18, "end": 178.56, "word": " جدّيش", "probability": 0.86923828125}, {"start": 178.56, "end": 178.94, "word": " تغير", "probability": 0.9471028645833334}, {"start": 178.94, "end": 179.34, "word": " F", "probability": 0.9267578125}], "temperature": 1.0}, {"id": 8, "seek": 20910, "start": 180.38, "end": 209.1, "text": "بارتباطا بـ x تمام in another words we say that the derivative is small if the function varies slowly with x and large if the function varies rapidly طبعا لما نيجي نتذكر مع بعض احنا y بتساوي x و y بتساوي x تربية صح ولا لأ لما انا اجي افاضل بقول dy بتساوي dx", "tokens": [3555, 9640, 2655, 3555, 41193, 995, 4724, 39184, 2031, 46811, 10943, 294, 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"word": " لما", "probability": 0.8076171875}, {"start": 194.88, "end": 195.08, "word": " نيجي", "probability": 0.93994140625}, {"start": 195.08, "end": 195.5, "word": " نتذكر", "probability": 0.88525390625}, {"start": 195.5, "end": 195.66, "word": " مع", "probability": 0.98974609375}, {"start": 195.66, "end": 196.0, "word": " بعض", "probability": 0.98193359375}, {"start": 196.0, "end": 196.36, "word": " احنا", "probability": 0.9344075520833334}, {"start": 196.36, "end": 197.8, "word": " y", "probability": 0.54541015625}, {"start": 197.8, "end": 198.74, "word": " بتساوي", "probability": 0.8153076171875}, {"start": 198.74, "end": 199.14, "word": " x", "probability": 0.9853515625}, {"start": 199.14, "end": 199.98, "word": " و", "probability": 0.724609375}, {"start": 199.98, "end": 200.38, "word": " y", "probability": 0.80126953125}, {"start": 200.38, "end": 201.04, "word": " بتساوي", "probability": 0.977783203125}, {"start": 201.04, "end": 201.3, "word": " x", "probability": 0.9755859375}, {"start": 201.3, "end": 201.86, "word": " تربية", "probability": 0.87451171875}, {"start": 201.86, "end": 203.08, "word": " صح", "probability": 0.97998046875}, {"start": 203.08, "end": 203.24, "word": " ولا", "probability": 0.9345703125}, {"start": 203.24, "end": 203.56, "word": " لأ", "probability": 0.918212890625}, {"start": 203.56, "end": 205.06, "word": " لما", "probability": 0.760986328125}, {"start": 205.06, "end": 205.28, "word": " انا", "probability": 0.846435546875}, {"start": 205.28, "end": 205.5, "word": " اجي", "probability": 0.8513997395833334}, {"start": 205.5, "end": 206.06, "word": " افاضل", "probability": 0.869140625}, {"start": 206.06, "end": 207.08, "word": " بقول", "probability": 0.981689453125}, {"start": 207.08, "end": 207.4, "word": " dy", "probability": 0.638671875}, {"start": 207.4, "end": 208.72, "word": " بتساوي", "probability": 0.9805908203125}, {"start": 208.72, "end": 209.1, "word": " dx", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 9, "seek": 22860, "start": 209.94, "end": 228.6, "text": "وهنا dy بالساوية 2x dx إذا الليهان غير عن الليهان فهذا لما يجي عرصم ال function هذا بتغير أسرع ك function لأنه عبارة عن curve هذا خط مستقيم في التغير المختلف تمام", "tokens": [2407, 3224, 8315, 14584, 20666, 3794, 995, 2407, 10632, 568, 87, 30017, 11933, 15730, 13672, 1829, 3224, 7649, 32771, 13546, 18871, 13672, 1829, 3224, 7649, 6156, 3224, 15730, 5296, 15042, 7251, 7435, 1829, 6225, 2288, 9381, 2304, 2423, 2445, 23758, 39894, 17082, 13546, 5551, 3794, 2288, 3615, 9122, 2445, 5296, 33456, 3224, 6225, 3555, 9640, 3660, 18871, 7605, 23758, 16490, 9566, 3714, 14851, 4587, 32640, 8978, 16712, 17082, 13546, 9673, 46456, 46538, 46811, 10943], "avg_logprob": -0.211041663090388, "compression_ratio": 1.5647058823529412, "no_speech_prob": 0.0, "words": [{"start": 209.94, "end": 210.48, "word": "وهنا", "probability": 0.7137858072916666}, {"start": 210.48, "end": 211.36, "word": " dy", "probability": 0.39599609375}, {"start": 211.36, "end": 212.36, "word": " بالساوية", "probability": 0.6229461669921875}, {"start": 212.36, "end": 212.86, "word": " 2x", "probability": 0.722900390625}, {"start": 212.86, "end": 213.34, "word": " dx", "probability": 0.7548828125}, {"start": 213.34, "end": 214.5, "word": " إذا", "probability": 0.6021728515625}, {"start": 214.5, "end": 215.3, "word": " الليهان", "probability": 0.8353271484375}, {"start": 215.3, "end": 215.5, "word": " غير", "probability": 0.988525390625}, {"start": 215.5, "end": 215.68, "word": " عن", "probability": 0.9345703125}, {"start": 215.68, "end": 216.34, "word": " الليهان", "probability": 0.981689453125}, {"start": 216.34, "end": 218.64, "word": " فهذا", "probability": 0.8116861979166666}, {"start": 218.64, "end": 219.54, "word": " لما", "probability": 0.75634765625}, {"start": 219.54, "end": 219.82, "word": " يجي", "probability": 0.74658203125}, {"start": 219.82, "end": 220.12, "word": " عرصم", "probability": 0.7587890625}, {"start": 220.12, "end": 220.24, "word": " ال", "probability": 0.9716796875}, {"start": 220.24, "end": 220.62, "word": " function", "probability": 0.64013671875}, {"start": 220.62, "end": 221.38, "word": " هذا", "probability": 0.5302734375}, {"start": 221.38, "end": 221.78, "word": " بتغير", "probability": 0.8876953125}, {"start": 221.78, "end": 222.24, "word": " أسرع", "probability": 0.9888916015625}, {"start": 222.24, "end": 223.08, "word": " ك", "probability": 0.888671875}, {"start": 223.08, "end": 223.48, "word": " function", "probability": 0.78271484375}, {"start": 223.48, "end": 224.14, "word": " لأنه", "probability": 0.88818359375}, {"start": 224.14, "end": 224.44, "word": " عبارة", "probability": 0.9952392578125}, {"start": 224.44, "end": 224.62, "word": " عن", "probability": 0.9951171875}, {"start": 224.62, "end": 225.0, "word": " curve", "probability": 0.90380859375}, {"start": 225.0, "end": 225.44, "word": " هذا", "probability": 0.7626953125}, {"start": 225.44, "end": 225.76, "word": " خط", "probability": 0.9912109375}, {"start": 225.76, "end": 226.36, "word": " مستقيم", "probability": 0.96875}, {"start": 226.36, "end": 226.78, "word": " في", "probability": 0.89111328125}, {"start": 226.78, "end": 227.32, "word": " التغير", "probability": 0.962890625}, {"start": 227.32, "end": 228.18, "word": " المختلف", "probability": 0.8662109375}, {"start": 228.18, "end": 228.6, "word": " تمام", "probability": 0.587890625}], "temperature": 1.0}, {"id": 10, "seek": 26157, "start": 233.01, "end": 261.57, "text": "Geometrically بصورة هندسية في الآخر علمونا إن التفاضل هو إيجاد ميل المماس للـ function عند نقطة ما، مظبوط ولا لا؟ إذاً Geometrically الـ function أو الـ factor Df over Dx هو سلوب الجرافي F of X versus X أنت بتفاضل، بتجيب ميل المماس، وأشهر تطبيق على التفاضل عندنا هي السرعة", "tokens": [22766, 649, 81, 984, 4724, 9381, 13063, 3660, 8032, 41260, 3794, 10632, 8978, 6024, 95, 34740, 11203, 2304, 2407, 8315, 36145, 16712, 5172, 46958, 1211, 31439, 11933, 1829, 7435, 18513, 3714, 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255.71, "end": 256.05, "word": " بتجيب", "probability": 0.9677734375}, {"start": 256.05, "end": 256.33, "word": " ميل", "probability": 0.9658203125}, {"start": 256.33, "end": 257.21, "word": " المماس،", "probability": 0.8560791015625}, {"start": 257.21, "end": 257.73, "word": " وأشهر", "probability": 0.86700439453125}, {"start": 257.73, "end": 258.73, "word": " تطبيق", "probability": 0.9822998046875}, {"start": 258.73, "end": 259.03, "word": " على", "probability": 0.9296875}, {"start": 259.03, "end": 259.75, "word": " التفاضل", "probability": 0.9779052734375}, {"start": 259.75, "end": 260.33, "word": " عندنا", "probability": 0.725341796875}, {"start": 260.33, "end": 260.79, "word": " هي", "probability": 0.818359375}, {"start": 260.79, "end": 261.57, "word": " السرعة", "probability": 0.92822265625}], "temperature": 1.0}, {"id": 11, "seek": 28269, "start": 262.39, "end": 282.69, "text": "السرعة هي derivative of X with respect to T، مظبوط ولا لأ؟ وبالتالي، لما يكون عندك function بين X وT، وبدأت تجيب السرعة، بقولك جيب من الممس، هي نفسها، تمام، هذا اللي احنا اتعلمناه بالـnormal derivative نيجي لحاجة نسميها الـgradient، سمعتوا فيها؟", "tokens": [6027, 3794, 2288, 27884, 39896, 13760, 295, 1783, 365, 3104, 281, 314, 12399, 3714, 19913, 3555, 2407, 9566, 49429, 5296, 10721, 22807, 46599, 6027, 2655, 6027, 1829, 12399, 5296, 15042, 7251, 30544, 43242, 4117, 2445, 49374, 1783, 4032, 51, 12399, 4032, 44510, 10721, 2655, 6055, 7435, 1829, 3555, 21136, 2288, 27884, 12399, 4724, 39648, 4117, 10874, 1829, 3555, 9154, 9673, 2304, 3794, 12399, 39896, 8717, 36178, 11296, 12399, 46811, 10943, 12399, 23758, 13672, 1829, 1975, 5016, 8315, 1975, 2655, 3615, 19528, 8315, 3224, 20666, 39184, 23157, 13760, 8717, 1829, 7435, 1829, 5296, 5016, 26108, 3660, 8717, 38251, 1829, 11296, 2423, 39184, 7165, 1196, 12399, 8608, 2304, 34268, 14407, 8978, 11296, 22807], "avg_logprob": -0.23409597921584333, "compression_ratio": 1.5275590551181102, "no_speech_prob": 1.1920928955078125e-07, "words": 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هنا مافيش T إيش بحط؟ Zero لكن هنا قولت لا يمكن X implicitly depends on T ال implicit function اللي مر عليكم في ال calculus هي اللي بيفرج عن ال partial عن ال derivative اللي هي ال exact derivative تم", "tokens": [1211, 33456, 41850, 4724, 5172, 11242, 1211, 8592, 6055, 5172, 46958, 1211, 46811, 4724, 38251, 1829, 3224, 6055, 5172, 46958, 1211, 10874, 11622, 38207, 14641, 13760, 15844, 23032, 12610, 39894, 9566, 1211, 3615, 8978, 3224, 7006, 3714, 29245, 23328, 7251, 47341, 3615, 29739, 5172, 46958, 1211, 47356, 49429, 20193, 3714, 31377, 6027, 34105, 19446, 41185, 8592, 314, 11933, 1829, 8592, 4724, 5016, 9566, 22807, 17182, 44381, 34105, 12174, 12610, 2655, 20193, 7251, 43020, 1783, 26947, 356, 5946, 322, 314, 2423, 26947, 2445, 13672, 1829, 3714, 2288, 25894, 24793, 8978, 2423, 33400, 39896, 13672, 1829, 4724, 33911, 47341, 18871, 2423, 14641, 18871, 2423, 13760, 13672, 1829, 39896, 2423, 1900, 13760, 46811], "avg_logprob": -0.21241553731866786, "compression_ratio": 1.728937728937729, 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"word": " برا", "probability": 0.947509765625}, {"start": 1397.54, "end": 1397.84, "word": " ايش", "probability": 0.5796712239583334}, {"start": 1397.84, "end": 1398.06, "word": " بيضال", "probability": 0.7740478515625}, {"start": 1398.06, "end": 1398.56, "word": " عنكم؟", "probability": 0.8841145833333334}], "temperature": 1.0}, {"id": 59, "seek": 142661, "start": 1400.85, "end": 1426.61, "text": "XI زي YG زي ZK اللي هي R فطلعت هذه عبارة عن R على أول مقام هو magnitude of R؟ إيش هذا؟ والله هذا طلع ال unit vector طلع ال unit vector الرياضيات طلعته اشتقت", "tokens": [55, 40, 30767, 1829, 398, 38, 30767, 1829, 1176, 42, 13672, 1829, 39896, 497, 6156, 9566, 1211, 34268, 29538, 6225, 3555, 9640, 3660, 18871, 497, 15844, 5551, 12610, 3714, 4587, 10943, 31439, 15668, 295, 497, 22807, 11933, 1829, 8592, 23758, 22807, 16070, 43761, 23758, 23032, 1211, 3615, 2423, 4985, 8062, 23032, 1211, 3615, 2423, 4985, 8062, 2423, 16572, 46958, 1829, 9307, 23032, 1211, 34268, 3224, 1975, 8592, 2655, 38149], 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"text": "رسمولي R كـ vector كيف ترسموه الـ position vector نقطة و هجيبه من الـ original نقطة ده هي صح؟ أيش بتتوقعوا كيف أمشي عشان أحصل على أكبر زيادة في ال function؟ كيف أمشي؟ بدي أمشي أعمل أكبر زيادة على نفس الاتجاه", "tokens": [2288, 38251, 12610, 1829, 497, 9122, 39184, 8062, 9122, 33911, 6055, 2288, 38251, 2407, 3224, 2423, 39184, 2535, 8062, 8717, 47432, 3660, 4032, 8032, 7435, 1829, 3555, 3224, 9154, 2423, 39184, 3380, 8717, 47432, 3660, 11778, 3224, 39896, 20328, 5016, 22807, 36632, 8592, 39894, 2655, 30543, 3615, 14407, 9122, 33911, 5551, 2304, 8592, 1829, 6225, 8592, 7649, 5551, 5016, 36520, 15844, 5551, 4117, 26890, 30767, 1829, 18513, 3660, 8978, 2423, 2445, 22807, 9122, 33911, 5551, 2304, 8592, 1829, 22807, 4724, 16254, 5551, 2304, 8592, 1829, 5551, 25957, 1211, 5551, 4117, 26890, 30767, 1829, 18513, 3660, 15844, 8717, 36178, 2423, 9307, 7435, 40294], "avg_logprob": -0.20949636472081676, "compression_ratio": 1.6600985221674878, "no_speech_prob": 0.0, "words": [{"start": 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118, "seek": 294558, "start": 2924.44, "end": 2945.58, "text": "وفطنع معانا zero مافيش عندي إشكالية هذا ال R طبعا هم مش جاي اللي يجيب ال R جاي اللي يجيب هدول ال vectors هدول لو بدي أنا أرسمهم هيكون فيهم دوران لكن رسمهم هلجات مش معناه فيهم أنا كتير بدي أنا هدول أجيبلهم ال curve طبعا هذه شايفينها ال X component تبعاتها مش X وY", "tokens": [38688, 9566, 1863, 3615, 20449, 7649, 995, 4018, 19446, 41185, 8592, 18871, 16254, 11933, 8592, 4117, 6027, 10632, 23758, 2423, 497, 23032, 3555, 3615, 995, 8032, 2304, 37893, 10874, 47302, 13672, 1829, 7251, 7435, 1829, 3555, 2423, 497, 10874, 47302, 13672, 1829, 7251, 7435, 1829, 3555, 8032, 3215, 12610, 2423, 18875, 8032, 3215, 12610, 45164, 4724, 16254, 41850, 5551, 2288, 38251, 16095, 8032, 1829, 30544, 8978, 16095, 11778, 13063, 7649, 44381, 12602, 38251, 16095, 8032, 1211, 7435, 9307, 37893, 20449, 8315, 3224, 8978, 16095, 41850, 9122, 2655, 13546, 4724, 16254, 41850, 8032, 3215, 12610, 5551, 7435, 1829, 3555, 1211, 16095, 2423, 7605, 23032, 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component هو X ال X component و ال Z component زيروز و خلّيني أعملها هدى ال X component ناقص Y ال Y component X و هدى زيروز عملتها", "tokens": [2407, 8032, 3215, 7578, 2423, 398, 6542, 39896, 2423, 1783, 8032, 3215, 7578, 1975, 1829, 3224, 22807, 20666, 1863, 35457, 6027, 7578, 11778, 7578, 2423, 398, 6542, 31439, 1783, 2423, 1783, 6542, 4032, 2423, 1176, 6542, 30767, 13546, 2407, 11622, 4032, 16490, 1211, 11703, 9957, 1829, 5551, 25957, 1211, 11296, 8032, 3215, 7578, 2423, 1783, 6542, 8717, 995, 4587, 9381, 398, 2423, 398, 6542, 1783, 4032, 8032, 3215, 7578, 30767, 13546, 2407, 11622, 6225, 42213, 2655, 11296], "avg_logprob": -0.2818509722367311, "compression_ratio": 1.934782608695652, "no_speech_prob": 0.0, "words": [{"start": 2946.29, "end": 2946.51, "word": "و", "probability": 0.8466796875}, {"start": 2946.51, "end": 2946.81, "word": " هدى", "probability": 0.4285888671875}, {"start": 2946.81, "end": 2946.95, "word": " ال", "probability": 0.87158203125}, {"start": 2946.95, "end": 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+00:00:25,320 --> 00:00:28,940 +انه كيف ممكن انا اعمل تكامل على ال surface وعشان + +3 +00:00:28,940 --> 00:00:33,780 +اعمل تكامل على ال surface لابد اني اعرف ال DS هذه + +4 +00:00:33,780 --> 00:00:40,200 +ال DS ك magnitude و ك direction و ال DX او ال DS + +5 +00:00:40,200 --> 00:00:46,580 +لازم تشتق من ال DL لان ال DL هي اللي بتعطيني ال + +6 +00:00:46,580 --> 00:00:51,700 +infinitesimal displacement في ال three dimensionو + +7 +00:00:51,700 --> 00:00:58,280 +بالتالي الـ DS لها احد تلات احتمالات اما DX DY او + +8 +00:00:58,280 --> 00:01:02,360 +DX DZ او DY DZ وممكن لو حصلته انه بالنسبة لل + +9 +00:01:02,360 --> 00:01:05,860 +direction لو قلت DX DY هيكون ال direction التالت + +10 +00:01:05,860 --> 00:01:10,440 +اما K او سلب K لما اقول DX DZ معناته اما G او سلب + +11 +00:01:10,440 --> 00:01:16,520 +G لما اقول DY DZ معناته اما I او سلب I عشان برضه + +12 +00:01:16,520 --> 00:01:23,790 +هذا هنعممه لشغلات اكتر بعيد هيكبالنسبة للـ Volume + +13 +00:01:23,790 --> 00:01:27,930 +Integral ليس عندنا مشكلة فيه لأنه لا يوجد إلا + +14 +00:01:27,930 --> 00:01:31,490 +احتمال واحد نحن نقول متوازن المستطيلات إلى ست أسطح + +15 +00:01:31,490 --> 00:01:36,050 +الإستوانة إلى تلت أسطح لكن متوازن المستطيلات ولا + +16 +00:01:36,050 --> 00:01:40,010 +الكورة ولا الإستوانة أكم حاجة منها؟ ليس لها حاجة + +17 +00:01:40,010 --> 00:01:43,870 +واحدة وبالتالي كيف أجيب الحاجة؟ جال هادي في هادي + +18 +00:01:43,870 --> 00:01:48,050 +في هادي دي إكس دي واي دي زي دي زي زي زي زي زي زي + +19 +00:01:48,050 --> 00:01:49,010 +زي زي زي زي زي زي زي زي زي زي زي زي زي زي زي زي زي + +20 +00:01:49,010 --> 00:01:53,390 +زي زي زي زي زي زي زي زي زي زي زي زي زي زي زت دي + +21 +00:01:53,390 --> 00:02:00,110 +تاو و ت فانكشن ت هو فانكشن و دي تاو هي عبارة عن ال + +22 +00:02:00,110 --> 00:02:04,190 +volume integral ال volume integral طبعا في إنه رمز + +23 +00:02:04,190 --> 00:02:08,580 +تاني ماعرفش مرة عليكم ولا لأ دي Vيعني مرات بيحطوا + +24 +00:02:08,580 --> 00:02:17,340 +هيك و بيحطوا F أو T دي V اللي هي DX, DY, DZ او D + +25 +00:02:17,340 --> 00:02:22,160 +TAU هذا الرمز موجود و الـ DV موجود فممكن D TAU + +26 +00:02:22,160 --> 00:02:26,000 +هتلاقوها في الكتب كتيرة لسه مااخدتوش Quantum + +27 +00:02:26,000 --> 00:02:32,520 +انتوا؟ اخدت Quantum صحيح؟ D TAU ولا DV مرت عليكم + +28 +00:02:32,520 --> 00:02:37,430 +لما جيتوا و أشتغلتوا على الـ hydrogen atomتنتهي + +29 +00:02:37,430 --> 00:02:42,230 +بمرة دي تاو او دي في دي في من volume و دي تاو رمز + +30 +00:02:42,230 --> 00:02:48,590 +اعتبره يعني مالوش ذات دلالة لكن هي موجود تي is a + +31 +00:02:48,590 --> 00:02:51,450 +vector function and دي تاو is an infinitesimal + +32 +00:02:51,450 --> 00:02:55,090 +element of volume جزء من volume جزء من volume جزء + +33 +00:02:55,090 --> 00:02:58,810 +صغير من volume وبالتالي ما زال volume اذا اخر من + +34 +00:02:58,810 --> 00:03:04,590 +بعضهتلاتة طول و عرض و ارتفاع دي اكس دي وي دي زي دي + +35 +00:03:04,590 --> 00:03:09,530 +اكس دي وي دي زي دي طول و عرض و ارتفاع دي اكس دي وي + +36 +00:03:09,530 --> 00:03:14,070 +دي زي دي طول و عرض و ارتفاع دي اكس دي وي دي زي دي + +37 +00:03:14,070 --> 00:03:17,930 +طول و عرض و ارتفاع دي اكس دي وي دي زي دي طول و عرض + +38 +00:03:17,930 --> 00:03:22,450 +و ارتفاع دي اكس دي وي دي زي دي طول و عرض و ارتفاع + +39 +00:03:22,450 --> 00:03:23,150 +دي اكس دي وي دي زي دي طول و عرض و ارتفاع دي اكس دي + +40 +00:03:23,150 --> 00:03:27,740 +اكس ديهذه نظرية إلها إثبات في الرياضيات طبعا إحنا + +41 +00:03:27,740 --> 00:03:31,860 +بصورة بلدية بنفهمها أكتر بنقول هذه لو راح حد مع حد + +42 +00:03:31,860 --> 00:03:37,080 +إيش ضال عندكم؟ إيش تسمون الـDF؟ من B لإيه؟ إذا + +43 +00:03:37,080 --> 00:03:40,860 +الـF و الـB نقص في صح ولا لأ؟ مافي صعوبة؟ مافي + +44 +00:03:40,860 --> 00:03:44,000 +صعوبة الواحد يفهمه يعني طبعا إنت لو تخش على كتب + +45 +00:03:44,000 --> 00:03:46,580 +الcalculus إله إثبات طويلة عريضة إله إثبات لكن + +46 +00:03:46,580 --> 00:03:49,380 +إحنا مش معنين كتير فيه الآن لأنه إحنا ماخدش جاعدين + +47 +00:03:49,380 --> 00:03:55,440 +mathematical physicsتمام جالي هذه بدي أحكيها بالـ + +48 +00:03:55,440 --> 00:03:57,160 +gradient لأن الـ gradient derivative ولا مش + +49 +00:03:57,160 --> 00:04:03,160 +derivative؟ derivative بدل df على dx بتقول دل الأف + +50 +00:04:03,160 --> 00:04:10,000 +وبدل dx دي ال .. فfundamental theorem of gradient + +51 +00:04:10,000 --> 00:04:15,860 +إيش بتقول؟ بتقول لو كان عندك بدل ال function fT + +52 +00:04:15,860 --> 00:04:20,900 +وبيعتمد عليها تلاتة variables فبتصير بدل DF علي DX + +53 +00:04:20,900 --> 00:04:25,760 +ال gradient of T هادي بدل هادي مظبوط ولا لأ؟ وبدل + +54 +00:04:25,760 --> 00:04:33,960 +DX دي L مفروض تساوي TB نقص TA TB نقص TA هادي زي + +55 +00:04:33,960 --> 00:04:40,150 +هادي مافيش أي إشكالية إلها شيقاق رياضي؟ إلهااللي + +56 +00:04:40,150 --> 00:04:43,310 +أخد Mathematical Physics بمعروفش أخدوها تفاصيلًا + +57 +00:04:43,310 --> 00:04:48,890 +في الرياضي .. إثباتها رياضي ولا لا تمام + +58 +00:04:48,890 --> 00:04:53,490 +احنا بدنا نقنع حالنا فيها بإننا نجيب مثال و نثبتها + +59 +00:04:53,490 --> 00:04:57,790 +بس جالب جالبنا نحكي عنها جالب طالع على الطرف + +60 +00:04:57,790 --> 00:05:02,090 +الأيمن، ركزلي على الطرف الأيمن إيش بتقول؟ T of B + +61 +00:05:02,090 --> 00:05:08,650 +نقص T of A عايش بتعتمدي النتيجة؟ على نقطتينA وB صح + +62 +00:05:08,650 --> 00:05:13,890 +ولا لا نقطة البداية ونقطة النهاية الشوة هذا DL هذا + +63 +00:05:13,890 --> 00:05:17,650 +Line Integral هذا Line Integral ولمّا أخدنا ال + +64 +00:05:17,650 --> 00:05:20,490 +Line Integral قلنا و الله إذا تكامل القط يعتمد على + +65 +00:05:20,490 --> 00:05:23,890 +مصار أو لا يعتمد على مصار، ذاكرين؟ طيب، النتيجة + +66 +00:05:23,890 --> 00:05:27,890 +هنا بتقول يعتمد على نقطة البداية و النهاية كنت عند + +67 +00:05:27,890 --> 00:05:31,470 +الحياطة هذه، جيت عند الحياطة هذه كيف وصلت؟ بيبين + +68 +00:05:31,470 --> 00:05:38,290 +في الجواب؟ بيبينش في الجوابأي مصاري تتبعي، مالوش + +69 +00:05:38,290 --> 00:05:44,550 +دقوة، إذا هل هذا قطعا لا يعتمد على المصار، قطعا لا + +70 +00:05:44,550 --> 00:05:48,310 +يعتمد على المصار، هذا لا يعتمد على المصار بصورة + +71 +00:05:48,310 --> 00:05:55,380 +قطعية، تمام؟إذا معناته بيقول إيه؟ since the right + +72 +00:05:55,380 --> 00:06:01,720 +side of the last equation depends only on the end + +73 +00:06:01,720 --> 00:06:05,140 +points على الطرفين، نقطة البداية والنهاية، بيجي من + +74 +00:06:05,140 --> 00:06:09,400 +الجواب، تمام؟ and not on the path followed, we + +75 +00:06:09,400 --> 00:06:10,560 +conclude that + +76 +00:06:13,310 --> 00:06:16,450 +إيش بيسموه نتيجتين؟ نتيجة، مش ممكن نقول في رياضات + +77 +00:06:16,450 --> 00:06:19,110 +نتيجة واحد و نتيجة اتنين؟ في عندي نتيجة، النتيجة + +78 +00:06:19,110 --> 00:06:23,290 +الأولى إن هذا لا يعتمد على المصار طيب، شغلة تانية، + +79 +00:06:23,290 --> 00:06:26,870 +ما زال لا يعتمد على المصار و أنا ذكرتكم مرة هيديك، + +80 +00:06:26,870 --> 00:06:33,290 +هذه رفعتها و بعدين رجعتها، قد الشغل الجاذبية؟ Zero + +81 +00:06:33,290 --> 00:06:37,910 +لأنه ما زال بدأت من نقطة و رجعت لنقص النقطةدائما + +82 +00:06:37,910 --> 00:06:41,270 +ما زالش شغلة conservative و لا تعتمد على المصار + +83 +00:06:41,270 --> 00:06:45,450 +لما تبدأ من نقطة و ترجع لها بتقول النتيجة كده؟ في + +84 +00:06:45,450 --> 00:06:51,390 +أي مصار دائما بنجي على نفس النقطة؟ المصار؟ المغلق + +85 +00:06:51,390 --> 00:06:56,070 +يعني الدائرة حالة خاصة كله مغلق إذا معناته لو أنا + +86 +00:06:56,070 --> 00:06:59,870 +حاطيت هنا إشارة إغلاق كم نتيجة حتطلع؟ Zero، برضه + +87 +00:06:59,870 --> 00:07:08,450 +هي النتيجة أول نتيجةcorollary one ان التكامل ال + +88 +00:07:08,450 --> 00:07:13,070 +line integral of the gradient is independent on + +89 +00:07:13,070 --> 00:07:16,890 +the path followed from a to b اه لأنه لا تعتمد على + +90 +00:07:16,890 --> 00:07:22,870 +المصاد التلين لو أغلقته أغلقت عن زيره الأولى بتيجي + +91 +00:07:22,870 --> 00:07:29,670 +من التانية ماهي مش اي شغلة تلقائية و بديهية زي ما + +92 +00:07:29,670 --> 00:07:34,610 +بيقولوها اي الصفصار يا بنات؟تمام؟ احنا نرجع ونذكر + +93 +00:07:34,610 --> 00:07:41,770 +احنا الآن بنشتغل مقدمة رياضية بنعمل فرشة عشان نقدر + +94 +00:07:41,770 --> 00:07:45,670 +من منها ننطلق الى فهم الفيزيالي بعد كده فاحنا ما + +95 +00:07:45,670 --> 00:07:50,130 +زلنا بنشتغل مقدمة رياضية ايش بالزمن الرياضيات؟ + +96 +00:07:50,130 --> 00:07:54,190 +قاعدين بنمرح عليه مرور الكرام إذا قدرتوا تقولوا + +97 +00:07:54,190 --> 00:08:01,310 +ولكن تركيز الشغل اللي بتهمنا example .. نشوفبيقول + +98 +00:08:01,310 --> 00:08:05,910 +لي let T هي T بدي أكملها هذه let T بتساوي XY تربية + +99 +00:08:05,910 --> 00:08:09,970 +بيقول لي هي ال function T عرفناها هل جيت إيش بتقول + +100 +00:08:09,970 --> 00:08:14,110 +هذه ال theorem او خليني أكمل it check the + +101 +00:08:14,110 --> 00:08:17,410 +fundamental theorem of a gradient ال fundamental + +102 +00:08:17,410 --> 00:08:25,930 +theorem بتقول هذه كانت تساوي T of B نقص T of A + +103 +00:08:26,860 --> 00:08:30,980 +وتكملة النظرية بتقول إن هذا التكامل يعتمد على + +104 +00:08:30,980 --> 00:08:35,860 +المصار لا يعتمد على المصار ويقول طب يلّا نثبت + +105 +00:08:35,860 --> 00:08:39,040 +النظرية بدل ما نثبتها رياضيات ونشتغل بها في + +106 +00:08:39,040 --> 00:08:44,840 +رياضيات بدي نثبتها بمثال بس بدي منك فيه في حد + +107 +00:08:44,840 --> 00:08:48,900 +بعرفش ال Delta؟ كلنا بنعرف ال Delta و دي إيه؟ و + +108 +00:08:48,900 --> 00:08:52,760 +الله بنعرفها هيها بس جيبلي المصار بقول هي المصار + +109 +00:08:52,760 --> 00:08:56,990 +بدك تبدأ من هذه النقطة؟لهذه النقطة اي مصارة تبيع + +110 +00:08:56,990 --> 00:09:01,470 +انت حر بيعتمد على المصار اعتمد المصار اللي بدكيه + +111 +00:09:01,470 --> 00:09:04,830 +وانا وياكم نعتمد مصارين ساعتها بيكون عاملنا + +112 +00:09:04,830 --> 00:09:09,250 +كالتالي اثبتنا النظرية واخدنا مصارين عشان نشوف ان + +113 +00:09:09,250 --> 00:09:15,850 +المصارين بيطلعوا نفس النتيجة تم اول حاجة بدي T of + +114 +00:09:15,850 --> 00:09:18,990 +B نقص T of A طالع في القيصة من النظرية مش هيك + +115 +00:09:18,990 --> 00:09:29,790 +بتقول يلا T of B وينها B؟جدّيش X تبعتها؟ Y يلا + +116 +00:09:29,790 --> 00:09:33,730 +اعوضه اتنين + +117 +00:09:33,730 --> 00:09:42,950 +في واحد اتنين ف T of A اذا T of B نقص T of A اذا + +118 +00:09:42,950 --> 00:09:47,500 +النتيجة ايش هيطلع؟هذه فيها صعوبة هذه طالب سنة أولى + +119 +00:09:47,500 --> 00:09:51,120 +ثانوية بيحلها مظبوط ولا لأ الطرف الأيمن من + +120 +00:09:51,120 --> 00:09:55,600 +المعادلة بنشوف الطرف الأيصر هال gate اللي هو في كل + +121 +00:09:55,600 --> 00:09:59,040 +الصعوبة بنجيب ال gradient و بعدين بنعمل line + +122 +00:09:59,040 --> 00:10:02,880 +integral صح ولا لأ؟ بنجيب ال gradient و بنعمل line + +123 +00:10:02,880 --> 00:10:06,000 +integral أول حاجة بدي أعملها بدي أجيب ال gradient + +124 +00:10:06,000 --> 00:10:12,740 +مين يذكرني في هذه؟ بصوت + +125 +00:10:12,740 --> 00:10:18,920 +عالي، بدي أسمعPartial على Partial X ذات Partial + +126 +00:10:18,920 --> 00:10:25,020 +على Partial Y ذات Partial على Partial Z وهذه الـ T + +127 +00:10:25,020 --> 00:10:27,380 +كانت ماذا؟ هذه الـ T كانت ماذا؟ هذه الـ T كانت + +128 +00:10:27,380 --> 00:10:31,180 +ماذا؟ + +129 +00:10:31,180 --> 00:10:32,460 +هذه الـ T كانت ماذا؟ هذه الـ T كانت ماذا؟ هذه الـ + +130 +00:10:32,460 --> 00:10:36,740 +T كانت ماذا؟ هذه الـ T كانت ماذا؟ هذه الـ T كانت + +131 +00:10:36,740 --> 00:10:37,000 +ماذا؟ هذه الـ T كانت ماذا؟ هذه الـ T كانت ماذا؟ + +132 +00:10:37,000 --> 00:10:37,420 +هذه الـ T كانت ماذا؟ هذه الـ T كانت ماذا؟ هذه الـ + +133 +00:10:37,420 --> 00:10:39,640 +T كانت ماذا؟ هذه الـ T كانت ماذا؟ هذه الـ T كانت + +134 +00:10:39,640 --> 00:10:41,660 +ماذا؟ هذه الـ T كانت ماذا؟ هذه الـ T كانت ماذ + +135 +00:10:45,270 --> 00:10:50,210 +زائد هنا ايش بيساوو فيها؟ افضلها بالنسبالي ايش؟ لل + +136 +00:10:50,210 --> 00:10:55,170 +Y ايش افضلها بالنسبالي Y؟ افضلها + +137 +00:10:55,170 --> 00:11:02,030 +بالنسبالي Z؟ خلصنا ماوجودش بزائد Zero K بعدين خلاص + +138 +00:11:02,030 --> 00:11:06,430 +إذا هاي دل ال T + +139 +00:11:10,860 --> 00:11:13,140 +أنا هكذا بدأ أشغل في الطرف هذا، دا كان طرف خلصته + +140 +00:11:13,140 --> 00:11:16,140 +طرف أي ما خلصته، بدأ أشغل على الطرف هذه، هذه جيبت + +141 +00:11:16,140 --> 00:11:21,840 +الجوز، إيش بديها الجيل؟ بدي DL، صح ولا لا؟ إيش جا + +142 +00:11:21,840 --> 00:11:25,820 +DL؟ جلي يزق من المصار، من النقطة A لنقطة B، صح ولا + +143 +00:11:25,820 --> 00:11:33,800 +لا؟ خلينا نرسم A وB، A أي نقطة هي؟ الاصل وB، اتنين + +144 +00:11:33,800 --> 00:11:39,500 +وواحد، في حد ماعرفش يرسمها؟ هاي نرسمناها، هاي A + +145 +00:11:39,500 --> 00:11:45,930 +وهاي Bمظبوط ولا لا؟ على اعتبار ان هذه اتنين وهذه + +146 +00:11:45,930 --> 00:11:54,490 +واحدة طيب انا بدي امشي من A ل B هلجيت انا عندي اي + +147 +00:11:54,490 --> 00:11:58,330 +كام احتمال ممكن نجيب انتوا اتناشر بلت بنجيب اتناشر + +148 +00:11:58,330 --> 00:12:02,710 +مصار صح ولا لا؟ كل واحدة تاخدها مصار هاي مصاري + +149 +00:12:02,710 --> 00:12:09,790 +وهاي مصار وياه وهاي مصار اي واحدة فيكم صحيح؟ وهاي + +150 +00:12:09,790 --> 00:12:16,550 +مصاروهاي مصار وهاي مصار ميت مصار فيه الاصر كل + +151 +00:12:16,550 --> 00:12:20,590 +المصارات تعطي نفس النتيجة صح ولا لأ لأنه بيقول + +152 +00:12:20,590 --> 00:12:24,390 +التكامل لا يعتمد على المصار تمام؟ احنا طبعا + +153 +00:12:24,390 --> 00:12:29,970 +ماعجدين هدول اللي مخلطاشين ناخد فقط مصارين المصار + +154 +00:12:29,970 --> 00:12:33,630 +هادى زي ما عملنا في المثال السابق والمصار العدل + +155 +00:12:33,630 --> 00:12:38,310 +متفقين؟ هذا اللي بدنا نسوي الجدش لازم يطلعي جواب + +156 +00:12:39,440 --> 00:12:43,820 +تنين إذا طلعش اتنين في خطأ لأنه هذه أنا بتثبت + +157 +00:12:43,820 --> 00:12:47,200 +النظرية إذا طلع الجواب معناته النظرية صح من دون + +158 +00:12:47,200 --> 00:12:49,880 +ماخوش في الإثبات الرياضي و أنا مش معنى في الإثبات + +159 +00:12:49,880 --> 00:12:53,400 +الرياضي الآن أنا بدي أصفت هالنظرية عشان بكرا لما + +160 +00:12:53,400 --> 00:12:56,400 +أستخدمها ماحد يقولليش عرفك إنها صح ولا لا بقوله ما + +161 +00:12:56,400 --> 00:12:59,540 +عملنالك مثال و أثبتنالك إيه و كانت صحيحة ولا لا + +162 +00:12:59,540 --> 00:13:05,520 +اتفجنا هيك بدي أول أخد المسار اللي مكوّن من two + +163 +00:13:05,520 --> 00:13:12,110 +stepsبدي اعتبر انا وياكم هذه النقطة ايش؟ C بتفهين؟ + +164 +00:13:12,110 --> 00:13:18,990 +ال first step اللي هو solid path بدي اقول التكامل + +165 +00:13:18,990 --> 00:13:25,750 +من A ل B هو نفس التكامل من A ل C زائد من C ل B + +166 +00:13:25,750 --> 00:13:30,790 +مظبوط ولا لأ؟ ننتبه كمان مرة انا مثلا هذا حلتش زيه + +167 +00:13:30,790 --> 00:13:40,680 +بالظبط من A ل Cمن A لـ C بدي DL بدي + +168 +00:13:40,680 --> 00:13:49,080 +DL ايوه يعني DX باتجاه ال I انا ماشي من هالهال ايش + +169 +00:13:49,080 --> 00:13:55,720 +العنصر تبعي للخط هذا هو DX وكيف ماشي من A ل C + +170 +00:13:55,720 --> 00:14:02,460 +باتجاه ال I اذا معناته هذه بتساوي تكامل .. دل ال T + +171 +00:14:03,340 --> 00:14:08,680 +والـ Dot بدل دي إيه اللي بدي أحط DXI هجي من A ل C، + +172 +00:14:08,680 --> 00:14:18,180 +مظبوط هيك ولا لأ؟ زائد تكامل للـ T Dot من C ل B، + +173 +00:14:18,180 --> 00:14:23,160 +طلع عليها من C ل B، ماشيين من C ل B، إيش جزء منها؟ + +174 +00:14:23,160 --> 00:14:25,900 +دي Y باتجاه الـ J + +175 +00:14:32,580 --> 00:14:38,100 +بعمليش صعب؟ حلو؟ مفهوم؟ ايه دي بقى كتساويه؟ بقوله + +176 +00:14:38,100 --> 00:14:42,800 +هذا product و في حضّاه اللي بعرفش تعمل product وين + +177 +00:14:42,800 --> 00:14:48,680 +هذه؟ قاللي هيها ما انت جيب تتوي و وين هذه هيها؟ + +178 +00:14:48,680 --> 00:14:52,600 +بدي أعمل product من هذه و هذه صارت Y تربيع DX ولا + +179 +00:14:52,600 --> 00:14:57,020 +لأ؟ إذا صارت بتساوي Y تربيع DX + +180 +00:15:00,500 --> 00:15:07,240 +من A لـ C على إيش بكامل أنا الـ DX الـ DX بتتغير + +181 +00:15:07,240 --> 00:15:13,740 +من صفر لوين إذا من صفر لإتنين زائد + +182 +00:15:13,740 --> 00:15:23,940 +بكامل Dot DY Dot DYJ يعني هذه بتصير اتنين XYDY + +183 +00:15:25,790 --> 00:15:29,830 +إيش متغيري؟ دي Y من إيش لو إيه اللي بتغير؟ من Zero + +184 +00:15:29,830 --> 00:15:42,530 +لواحد مش عاجبك إيش برجع؟ اكيد تمام أحنا + +185 +00:15:42,530 --> 00:15:47,890 +بنتفج إنه ما تطلعش من المحاضرة مش فاهمين حط حرية + +186 +00:15:47,890 --> 00:15:50,490 +ما تطلعوش بإيديكم والله بإيديكم + +187 +00:15:53,230 --> 00:16:01,050 +ما تنشوش أي بعلومة انت مش فاهمينها اسأله تمام طبعا + +188 +00:16:01,050 --> 00:16:05,810 +نرجع وي تربية DX هل + +189 +00:16:05,810 --> 00:16:09,490 +نستطيع نكملها هيك على طول نقول وي تكعب على تلاتة؟ + +190 +00:16:09,490 --> 00:16:14,590 +لا طبعا لا بدى بعلقة لو انت تكون ثابتة شوفوا احنا + +191 +00:16:14,590 --> 00:16:17,870 +و احنا ماشيين من صفر لاتنين ع ال DX بقول هذه Y + +192 +00:16:17,870 --> 00:16:22,470 +بتثوي كم؟ Zeroمش Y بيساوي 0 طول ما أنا ماشي على خط + +193 +00:16:22,470 --> 00:16:27,750 +السفلي؟ اه دي اللي أسهل عليها أنا بكمل على الـDY + +194 +00:16:27,750 --> 00:16:31,910 +بالـDX هذه طول ما أنا ماشي من C لـB X بتتغير ولا + +195 +00:16:31,910 --> 00:16:38,210 +إليها قيمة ثابتة جديش X تبعتي؟ اتنين إذن هذه + +196 +00:16:38,210 --> 00:16:45,390 +التنين و اتنين هنا أربعة و YDY و Y تربيع على اتنين + +197 +00:16:45,390 --> 00:16:50,580 +و Y تربيع على اتنين من سفل الواحد نص و في أربعةإذن + +198 +00:16:50,580 --> 00:17:00,600 +إيه جوابتني؟ طمنا نفس الجواب هذا صح عيشي + +199 +00:17:00,600 --> 00:17:08,600 +طلعتني حلو بدي أشوف يا تراهلو أخدت المسار العدل + +200 +00:17:08,600 --> 00:17:11,380 +احنا طبعا عملنا 100 مسار و بعدين بنختار مسارين + +201 +00:17:11,380 --> 00:17:15,440 +نعرف نتعامل معهم طبعا أي مسار بدي أخده مفهوش أخده + +202 +00:17:15,440 --> 00:17:17,320 +و أقوله يالا بدي أشتغل فيه و أنا مش عارف معادلته + +203 +00:17:17,320 --> 00:17:21,420 +دل بالكم يعني بدي أعرف المعادل عشان أجيب أمن خاطر + +204 +00:17:21,420 --> 00:17:26,640 +المستقيم كلنا بنعرف معادلته تمام؟ الآن العندل هنا + +205 +00:17:26,640 --> 00:17:31,840 +بديه هدا طلعي جواب 2 واتفجنا النظرية اعتطني زي ما + +206 +00:17:31,840 --> 00:17:37,670 +بديالان بدي المسار هذا وينها DL الان الـ DL لا هي + +207 +00:17:37,670 --> 00:17:44,470 +هذه ولا هي هذه صح؟ الان هواينها بقولوا هيها هاي DL + +208 +00:17:44,470 --> 00:17:48,270 +هذه DL اللي هي مُركّبة سنية ولا لأ؟ وليها مُركّبة + +209 +00:17:48,270 --> 00:17:57,970 +صادية إذن هذه حبارة عن DXi زي الـ Dy جيه حلو ما + +210 +00:17:57,970 --> 00:18:06,250 +زال هيك إذا صارت تكامل دل الـ TDot DL بتساوي نعمل + +211 +00:18:06,250 --> 00:18:14,890 +Dot Product Y تربيع DX زي اتنين XY DY وهي التكامل + +212 +00:18:14,890 --> 00:18:22,850 +اعملت Dot Product بين هذا وهذا ال I مع ال I وال G + +213 +00:18:22,850 --> 00:18:31,510 +مع ال G صحيح هيك؟ تمام ايش بتعوض محلي ال Y؟ ثابتة + +214 +00:18:32,700 --> 00:18:36,460 +لأ انا ماشي هيك و هي ثابتة طول ما انا ماشي و هي + +215 +00:18:36,460 --> 00:18:40,760 +عمالة برتفيع هاللي بتساوي؟ بتدي علاقة العلاقة + +216 +00:18:40,760 --> 00:18:45,820 +بتجيبها هذا عبارة عن الـ straight line معادلته Y + +217 +00:18:45,820 --> 00:18:53,040 +بتساوي MX جدش بيه مبينة من الرسمة Zero و إيش M + +218 +00:18:53,040 --> 00:19:00,760 +هذه؟ ال slope بتساوي واحد على اتنين إذا Y بتساوي + +219 +00:19:00,760 --> 00:19:12,080 +نص ال Xإذاً هذه علاقة تبعتك حلو بتساوي إيش بدل Y + +220 +00:19:12,080 --> 00:19:21,140 +تربيع بيصير ربع X تربيع ربع X تربيع DX و لا مش من + +221 +00:19:21,140 --> 00:19:28,420 +صفر لإتنين مش X من صفر لإتنين بتروح زائد اتنين بدل + +222 +00:19:28,420 --> 00:19:35,130 +X اتنين Y صارت أربعة وهنا في كمان Yالـ Y من أين + +223 +00:19:35,130 --> 00:19:40,830 +إلى أين بتتغير؟ من صفر إلى واحد، هذا كله معطى، + +224 +00:19:40,830 --> 00:19:50,110 +مظبوط هيك ولا لأ؟ يلّا بتساوي ربع تكامل X تربيع DX + +225 +00:19:50,110 --> 00:19:54,390 +X + +226 +00:19:54,390 --> 00:20:02,150 +تكعيب على تلاتة زائد أربعة Y تكعيب على تلاتة من + +227 +00:20:02,150 --> 00:20:02,530 +صفر + +228 +00:20:05,980 --> 00:20:11,240 +تمانية ع تلاتة وهنا في اربعة اتنين ع تلاتة زائد + +229 +00:20:11,240 --> 00:20:17,380 +اربعة تلت تلتين + +230 +00:20:17,380 --> 00:20:24,740 +واربعة تلاتة ستة اتلات كده ايش اتنين برضه طلعت + +231 +00:20:24,740 --> 00:20:28,860 +النتيجة اتنين هين أخدت مسارين مختلفين طلع اتنين + +232 +00:20:28,860 --> 00:20:33,420 +واترف العيسر من حسب النظرية برضه اتنين صحيح هيك + +233 +00:20:33,420 --> 00:20:38,440 +ولا لأأي صفصار؟ + +234 +00:20:38,440 --> 00:20:41,880 +تمة + +235 +00:20:41,880 --> 00:20:52,940 +إذا + +236 +00:20:52,940 --> 00:20:56,920 +ع السريع اللي عملناه جالي now dl بتساوي dx + +237 +00:20:56,920 --> 00:21:02,150 +وعملناهاأول اعطاني ال path اللي هو الأفق و بعدين + +238 +00:21:02,150 --> 00:21:06,570 +العمودي اشتغل عليه و طلع النتيجة طلعت اتنين ال + +239 +00:21:06,570 --> 00:21:10,350 +second path قال لي في عندك علاقة بين ال Y و ال X Y + +240 +00:21:10,350 --> 00:21:13,790 +بتساوي نص ال X طبعا انا هنا حلته بطريقة تانية و + +241 +00:21:13,790 --> 00:21:17,670 +قلت كله بتدخلي X فحتى حولت ال DY ل DX طبعا بتعرف + +242 +00:21:17,670 --> 00:21:19,950 +ان هو هد المعادلة و بده فاضل واحد ترفين المعادلة + +243 +00:21:19,950 --> 00:21:25,290 +دي Y بتساوي نص DX عشان كله يحولوا يعني بمعنى اخر + +244 +00:21:25,290 --> 00:21:29,470 +هادي ال DY بتخليها DX و هادي بتخليها X كله Xطبعاً + +245 +00:21:29,470 --> 00:21:36,130 +بالطريقة التانية صحيحة فبرضه طلع جواب اتنين حلو + +246 +00:21:36,130 --> 00:21:41,690 +The Fundamental Theorem of Divergence كمان في + +247 +00:21:41,690 --> 00:21:48,450 +نظرية جدا مشهورة سموها الـDivergent Theorem بصورة + +248 +00:21:48,450 --> 00:21:50,810 +أبسط بدل من القول Fundamental Theorem of + +249 +00:21:50,810 --> 00:21:54,450 +Divergence اسمها الأشهر أو اسم الدلعة تبعها + +250 +00:21:54,450 --> 00:22:00,050 +الـDivergent Theorem تمام الـDivergent Theoremأيش + +251 +00:22:00,050 --> 00:22:05,030 +بتقولها دي؟ تولي Gradient، قللي أنت بدل، ماجيب + +252 +00:22:05,030 --> 00:22:09,650 +Gradient واتكاملوا على خاط جيب ال function من نقطة + +253 +00:22:09,650 --> 00:22:11,510 +النهاية، نقص ال function من نقطة البداية، بتطلع + +254 +00:22:11,510 --> 00:22:17,810 +الجواب، صح ولا لأ؟ الآن، بيقوللي ال divergence of + +255 +00:22:17,810 --> 00:22:22,360 +a vectorover a volume integral بيسوي الـ vector + +256 +00:22:22,360 --> 00:22:26,860 +على الـ surface لو أجينا نفتش و نجاعد المعلومة + +257 +00:22:26,860 --> 00:22:30,280 +واحدة واحدة قليني أنت إيش عرفتلي ال divergence؟ + +258 +00:22:30,280 --> 00:22:36,040 +قلتلي بيبيس .. إيش لل vector؟ + +259 +00:22:36,040 --> 00:22:40,880 +انتشار ال vector مش شكتفجنا؟ ال divergence بيجيسلك + +260 +00:22:40,880 --> 00:22:45,240 +انتشار ال vector حلو؟ طب أنا عندي vector من هنا، + +261 +00:22:45,240 --> 00:22:50,570 +بده ينتشرتمام؟ و انا اقعد اجمع كيف انت شاره طب انت + +262 +00:22:50,570 --> 00:22:53,590 +تغلب حالك و تخش جوا و تشوف الحاجة و كده تبدأ تشير + +263 +00:22:53,590 --> 00:22:57,330 +الصناع على السطح واصلك ولا مش واصلك؟ واصلك + +264 +00:22:57,330 --> 00:23:01,670 +بالعنوان واصلك لأنه هذا منتشر إذا مش واصلك معناته + +265 +00:23:01,670 --> 00:23:04,450 +معناته انه مات divergence إذا نزيله النتيجة صح أو + +266 +00:23:04,450 --> 00:23:09,410 +لا؟ إذا في هذي إلها قيمة divergence معناته واصلك + +267 +00:23:09,410 --> 00:23:12,170 +على السطح لمحالة الصناع على السطح و اجمع ال vector + +268 +00:23:12,170 --> 00:23:16,400 +على السطح سلكشوفوا هذه النظرية مرات بتسهل علينا + +269 +00:23:16,400 --> 00:23:20,400 +إثبات بيكون already مصعمه بيقولك استخدم الـ + +270 +00:23:20,400 --> 00:23:22,980 +divergence theorem بتنحل السؤال، بتطلع النتيجة على + +271 +00:23:22,980 --> 00:23:23,340 +طول. + +272 +00:23:26,560 --> 00:23:30,600 +إذن هذي إيش بتقول؟ إن ال divergence of any vector + +273 +00:23:30,600 --> 00:23:34,040 +over a volume equal to the same vector on the + +274 +00:23:34,040 --> 00:23:37,360 +surface لأن ال vector جيّك جيّك استناء على السطح + +275 +00:23:38,710 --> 00:23:41,770 +إثباته الرياضي بنرجع موجود في كتب الـ Calculus + +276 +00:23:41,770 --> 00:23:44,870 +كلها أنا بديش إثباته الرياضي بدي المعنى تبعه + +277 +00:23:44,870 --> 00:23:50,430 +المعنى تبعه أصلا أنا برضه قلتلكم إيش قلت كلكم ال + +278 +00:23:50,430 --> 00:23:53,630 +divergence لو طلعتوا على ال slides تكونوا موجودة + +279 +00:23:53,630 --> 00:23:57,730 +ال divergence خليني أنا أرجعلها عشان أذكركم أنه + +280 +00:23:57,730 --> 00:24:01,510 +موجودة أين راحنا؟ أين؟ + +281 +00:24:04,160 --> 00:24:08,300 +طلعوا ايش كنت كاتب هنا؟ Dil dot a dil dot a + +282 +00:24:08,300 --> 00:24:13,400 +divergence ايش هي؟ هي ال source density هي density + +283 +00:24:13,400 --> 00:24:18,920 +ويلها دعوة بال flux تمام؟ ويلها دعوة بال flux فيه + +284 +00:24:18,920 --> 00:24:29,440 +برضه كمان حطينا source + +285 +00:24:29,440 --> 00:24:33,520 +density وحطينا شغل اسمها ال flux برضه في مكان ما + +286 +00:24:43,360 --> 00:24:47,160 +أنا ذاكر أن كلمة الـ Flux مضت علينا على كل الأحوال + +287 +00:24:47,160 --> 00:24:53,560 +تمام إذن + +288 +00:24:53,560 --> 00:25:00,200 +هذه الـ divergence theorem تقول إن انتجرال انتجار + +289 +00:25:00,200 --> 00:25:06,280 +عبر قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع + +290 +00:25:06,280 --> 00:25:07,240 +قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع + +291 +00:25:07,240 --> 00:25:09,420 +قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع + +292 +00:25:09,420 --> 00:25:10,320 +قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع + +293 +00:25:10,320 --> 00:25:12,020 +قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قطع قط + +294 +00:25:12,660 --> 00:25:24,100 +خلّيني أتذكر E.ds إيش هذا؟ جزء من قانون جاوس هذا + +295 +00:25:24,100 --> 00:25:27,160 +فيزيائيا معناته الـ flux ولا مش الـ flux؟ هذا ال + +296 +00:25:27,160 --> 00:25:32,340 +flux طب إيش هو ال flux؟ بيقوللي ال flux بجسدك لو + +297 +00:25:32,340 --> 00:25:36,500 +جديش ال vector اخترق السطح ولا لأ؟ فلنرجع ال + +298 +00:25:36,500 --> 00:25:41,620 +vector جوا ال volumeإذا Diverge هيجيك ويخترق السطح + +299 +00:25:41,620 --> 00:25:45,460 +صح ولا لأ؟ معناته الـ divergence تبع هذا الـ Flux + +300 +00:25:45,460 --> 00:25:50,640 +فبيقول لي في كلمة أخرى الـ Divergence Theorem تشير + +301 +00:25:50,640 --> 00:25:56,010 +إلى ما يسمى الـ Outward Fluxالـ flux تبع اي فيكتور + +302 +00:25:56,010 --> 00:25:59,350 +من خلال محطة مرتبطة بمحطة مرتبطة بمحطة مرتبطة + +303 +00:25:59,350 --> 00:26:02,690 +بمحطة مرتبطة بمحطة مرتبطة بمحطة مرتبطة بمحطة + +304 +00:26:02,690 --> 00:26:05,930 +مرتبطة بمحطة مرتبطة بمحطة مرتبطة بمحطة مرتبطة + +305 +00:26:05,930 --> 00:26:07,610 +بمحطة مرتبطة بمحطة مرتبطة بمحطة مرتبطة بمحطة + +306 +00:26:07,610 --> 00:26:08,990 +مرتبطة بمحطة مرتبطة بمحطة مرتبطة بمحطة مرتبطة + +307 +00:26:08,990 --> 00:26:21,790 +بمحطة مرتبطة بمحطة مرتبطة بمحطة مرتبطة بمحطة + +308 +00:26:21,790 --> 00:26:24,980 +مرتبطالـ Surface هذا هو اللي بحيث الـ Volume. انت + +309 +00:26:24,980 --> 00:26:27,880 +بتقولي انا بدي السناء برا. بدي السناء برا على .. + +310 +00:26:27,880 --> 00:26:30,740 +على وين؟ احدوده. يعني لو انا بدي اجيب ال + +311 +00:26:30,740 --> 00:26:34,020 +divergence ل vector وكامله على كل حدوق .. كل حجم + +312 +00:26:34,020 --> 00:26:37,200 +هالغرفة، بقوله وين اتجه السناء؟ السناء على + +313 +00:26:37,200 --> 00:26:41,260 +الحيطان، على السطح. إذا لما أقول Surface هو الـ + +314 +00:26:41,260 --> 00:26:44,400 +Surface تبع الـ Volume. صحيح؟ تمام. + +315 +00:26:47,310 --> 00:26:50,530 +بنجي برضه .. احنا مابنثبتش إثبات رياضي بنجيب مثال + +316 +00:26:50,530 --> 00:26:53,730 +و بنثبت نشوف صح النظرية و نقنع حالنا في المثال + +317 +00:26:53,730 --> 00:26:57,530 +بيقول .. check the divergence theorem using the + +318 +00:26:57,530 --> 00:27:00,510 +vector و دي باكم الأسئلة .. احنا اتفقنا في الـ + +319 +00:27:00,510 --> 00:27:02,470 +chapter الأول الحديد فيه سؤال في ال midterm الأول + +320 +00:27:02,470 --> 00:27:06,230 +صح ولا لأ؟ هذه الأمثلة زي هذه هي اللي ممكن تكون + +321 +00:27:06,230 --> 00:27:09,150 +أسئلة زي هيك يعني السؤال إما بدي أقولكم إثبتوا ال + +322 +00:27:09,150 --> 00:27:12,350 +divergence theorem خلال شغلة معينة أو تعملوا line + +323 +00:27:12,350 --> 00:27:16,210 +integral أو surface integral اللي عملنا بيقولي هاي + +324 +00:27:16,210 --> 00:27:23,480 +ال vectorA Equal Y²I 2XY Plus Z تربيع G زي 2YZ + +325 +00:27:23,480 --> 00:27:27,520 +بتجه الكيك فكتور ايش بدك فيه بقول تشيك الـ + +326 +00:27:27,520 --> 00:27:31,980 +divergence theorem شوف ال theorem صح ولا لا طبعا + +327 +00:27:31,980 --> 00:27:34,000 +عشان تجيبها بدك تجيب الطرف الأيمن و تجيب الطرف + +328 +00:27:34,000 --> 00:27:39,560 +الأيسر إذا سوى صحيحة النظرية طبعا واضح انتوا في + +329 +00:27:39,560 --> 00:27:42,800 +الطرف الأيسر بدك تجيبي ال divergence و بدك تكامل + +330 +00:27:42,800 --> 00:27:48,330 +على حجم في الطرف الأيمن بدك تجيبلي DSو تعمل dot + +331 +00:27:48,330 --> 00:27:52,770 +product مع الـA و بعدين تكمل على الـS صح ولا لأ؟ + +332 +00:27:52,770 --> 00:27:56,430 +تمام؟ قعدنا نشوف هالقصة بيقول لي هاي ال vector حلو + +333 +00:27:56,430 --> 00:28:03,280 +over a unity cubeSituated at the origin في الآخر + +334 +00:28:03,280 --> 00:28:06,840 +عشان انا اعرف انت تقولتلي السطح بجربل الحجم صح ولا + +335 +00:28:06,840 --> 00:28:11,280 +لأ اذا طيب على اي حجم بتحددلي لو قولتلي الحجم كرة + +336 +00:28:11,280 --> 00:28:14,880 +بقولك سطح الكرة بعرفه مش هو جريبه هو سطح الكرة + +337 +00:28:14,880 --> 00:28:19,420 +بعرفه جاللي الحجم عبارة عن استوانة بقوله اه اسطح + +338 +00:28:19,420 --> 00:28:23,580 +الاستوانة تلاتة دي بالكمظبوط ولا لأ؟ لأنه قاعدتين + +339 +00:28:23,580 --> 00:28:28,140 +والجانبية هنا بيقول لأ مكعب طول ضلع واحد أكم صوته + +340 +00:28:28,140 --> 00:28:35,260 +حلو؟ ستة مع أنها تهادي ست تكاملات وهذه غالبا تكامل + +341 +00:28:35,260 --> 00:28:38,300 +واحد مافيش ل volume واحد بس انهم جيبني ال + +342 +00:28:38,300 --> 00:28:44,140 +divergence صح ولا لأ؟ نبدأ بالطرف هذا السهل + +343 +00:28:44,140 --> 00:28:49,410 +الصعوبة فيهخصوصا انكم مش ماخدين Mathematical + +344 +00:28:49,410 --> 00:28:52,350 +Physics مغلبين شوية ان كيف اجيب ال divergence لو + +345 +00:28:52,350 --> 00:28:55,890 +انكم ماخدين Mathematical Physics بصير أسهل كتير طب + +346 +00:28:55,890 --> 00:28:59,670 +عن إلي أنا شوية شوية الدل اللي كانت تتغلب فاهمينها + +347 +00:28:59,670 --> 00:29:04,050 +صح ولا لأ؟انعيد الـ del partial على partial X I + +348 +00:29:04,050 --> 00:29:07,330 +زائد partial على partial Y J زائد partial على + +349 +00:29:07,330 --> 00:29:12,410 +partial Z K ضد ال A فبصير partial A X على partial + +350 +00:29:12,410 --> 00:29:17,650 +X زائد partial A Y على partial Y زائد partial A Z + +351 +00:29:17,650 --> 00:29:21,590 +على partial Z طب وين ال A X؟ بقوله هي ال A X وين + +352 +00:29:21,590 --> 00:29:27,120 +ال A Y؟ بقوله هيها وين ال A Z؟ هيها فبنقولضد الـ A + +353 +00:29:27,120 --> 00:29:33,560 +بيساوي partial A X على partial X partial A Y على + +354 +00:29:33,560 --> 00:29:40,240 +partial Y partial A Z على partial Z هذا ال + +355 +00:29:40,240 --> 00:29:46,160 +divergence دا الواحد مش حافظه أو ليه بلاش مش حافظه + +356 +00:29:46,160 --> 00:29:49,820 +مش فاهمه انه نقدر نعمله بسهولة إذا عرفنا الدليل + +357 +00:29:49,820 --> 00:29:56,970 +بنعرف ال divergence على طول يلا مين ينجلني؟ماذا + +358 +00:29:56,970 --> 00:30:05,330 +يفضل هذه؟ ماذا يفضل هذه؟ كم؟ Zero إذاً Zero زائد + +359 +00:30:05,330 --> 00:30:12,450 +ماذا يفضلها بالنسبة لمن هذه؟ لـY إذاً زائد 2X زائد + +360 +00:30:12,450 --> 00:30:19,670 +هذه ليست مفضلة لها هذه زائد 2 مظبوطيك + +361 +00:30:19,670 --> 00:30:25,010 +ولا لا؟ إذاً هذه طلعتها + +362 +00:30:29,620 --> 00:30:38,100 +ماذا يعني دي تاو؟ الـ volume الـ dx, dy, dz فصارت + +363 +00:30:38,100 --> 00:30:47,940 +هذه بتساوي تكامل دل ضد الـ a بتساوي 2x زي 2y dx, + +364 +00:30:48,560 --> 00:30:54,460 +dy, dz و عادة بنعملها تلت تكاملات triple integral + +365 +00:30:59,200 --> 00:31:03,280 +طبعا في هذه الحالة كيف بنكتبها؟ بنقولها دي سهلة هي + +366 +00:31:03,280 --> 00:31:09,740 +اتنين تكامل اتنين x dx + +367 +00:31:09,740 --> 00:31:22,040 +dy dz زائد اتنين y dx dy dz تلت تكاملات + +368 +00:31:28,680 --> 00:31:32,860 +الـ X من أين إلى أين تتغير؟ من صفر إلى واحد والـ Y + +369 +00:31:32,860 --> 00:31:37,600 +من صفر إلى واحد والـ Z لأن هذا مكعب وجالس ضد + +370 +00:31:37,600 --> 00:31:40,580 +العواحد إذا كله من صفر إلى واحد من صفر إلى واحد من + +371 +00:31:40,580 --> 00:31:46,620 +صفر إلى واحد طبعا واضح هذه بتعطي X تربيع اتنين هذه + +372 +00:31:46,620 --> 00:31:51,290 +بتعطي Y وهذه بتعطي Zفهذه x أربع ع اتنين يعني x + +373 +00:31:51,290 --> 00:31:55,950 +أربع من صفر ل واحد واحد وهذه dy من صفر ل واحد + +374 +00:31:55,950 --> 00:32:00,090 +بتعطيني واحد وهذه واحد واحد في واحد في واحد اذا + +375 +00:32:00,090 --> 00:32:05,210 +هذه بتعطيني واحد هذه نفس العملية فواحد زائد واحد + +376 +00:32:05,210 --> 00:32:10,650 +ناني فالنتيجة عندى بعد ما طلحها طليني اعملها بس + +377 +00:32:14,900 --> 00:32:19,320 +دل ضد ال a اتفقنا بطلعت 2x زي دي 2y قال لي إذا دل + +378 +00:32:19,320 --> 00:32:23,860 +ضد ال a d tau من صفر ل واحد من صفر ل واحد من صفر ل + +379 +00:32:23,860 --> 00:32:28,780 +واحد 2x زي دي 2y dx dy dz هذي بتعطيني واحد و هذي + +380 +00:32:28,780 --> 00:32:35,060 +بتعطيني واحد و بتعطيني اتنين اه + +381 +00:32:41,900 --> 00:32:45,560 +أنا بعمل volume integral لسه الطرف التاني ماعنيه + +382 +00:32:45,560 --> 00:32:49,740 +ليش دعوة فيه انا بعمل هنا ايش تلك التكملة كيف + +383 +00:32:49,740 --> 00:32:58,780 +تنعملها ده هي بقولي x dx dy dz وبتنكتب هيك كيف هذي + +384 +00:32:58,780 --> 00:33:06,280 +بتتعامل معاها بيصير عبارة عن x dx و + +385 +00:33:06,280 --> 00:33:09,880 +dy dz + +386 +00:33:15,320 --> 00:33:21,740 +هك بتصير كل واحد بتكمليه لحاله اه + +387 +00:33:21,740 --> 00:33:26,840 +بس ضاربها ضارب هذا بيعطيك X تربيع ع 2 طبعا فيه + +388 +00:33:26,840 --> 00:33:31,280 +اتنين تنسيش تمام هذا X تربيع ع 2 من صفر لواحد هذا + +389 +00:33:31,280 --> 00:33:36,780 +بيعطيك Y و هذا بيعطيك Z هيك مكانك ال double ال + +390 +00:33:36,780 --> 00:33:41,420 +double اتنين ال triple تلاتة هيك التكامل + +391 +00:33:46,300 --> 00:33:53,320 +ماشي تقولي Y من صفر ل واحد؟ ماشي ال Y بتتغير من + +392 +00:33:53,320 --> 00:33:59,860 +صفر ل آخر حاجة في ال Y بقولي طول اتضلع واحد طول في + +393 +00:33:59,860 --> 00:34:03,740 +عرض في ارتفاع إذا من صفر ل واحد من صفر ل واحد من + +394 +00:34:03,740 --> 00:34:11,820 +صفر ل واحد غيرها عملوا + +395 +00:34:11,820 --> 00:34:12,380 +تفصيل؟ + +396 +00:34:16,270 --> 00:34:21,310 +أيش تكمل الـ dy؟ الـ y .. الـ y .. الـ y .. الـ y + +397 +00:34:21,310 --> 00:34:23,590 +.. الـ y .. الـ y .. الـ y .. الـ y .. الـ y .. + +398 +00:34:23,590 --> 00:34:28,750 +الـ y .. الـ y .. الـ y .. الـ y .. الـ y .. الـ y + +399 +00:34:28,750 --> 00:34:28,770 +.. الـ y .. الـ y .. الـ y .. الـ y .. الـ y .. + +400 +00:34:28,770 --> 00:34:28,850 +الـ y .. الـ y .. الـ y .. الـ y .. الـ y .. الـ y + +401 +00:34:28,850 --> 00:34:28,910 +.. الـ y .. الـ y .. الـ y .. الـ y .. الـ y .. + +402 +00:34:28,910 --> 00:34:29,170 +.. الـ y .. الـ y .. الـ y .. الـ y .. الـ y .. + +403 +00:34:29,170 --> 00:34:38,030 +.. الـ y .. الـ y .. الـ y .. الـ y .. الـ y + +404 +00:34:38,030 --> 00:34:40,910 +.. الـ + +405 +00:34:51,350 --> 00:34:55,770 +طبعا انا عامل ال slides مسبقا وكنت عارف ان الأغلب + +406 +00:34:55,770 --> 00:34:58,750 +يكونوا ماخدين mathematical physics فبالتالي مش + +407 +00:34:58,750 --> 00:35:03,350 +انفصل كتير فانتوا حريني انتوا بيبقوا تسألوني انتوا + +408 +00:35:03,350 --> 00:35:06,870 +بيبقوا تسألوني ما .. ما توهموش في ال slides يعني + +409 +00:35:06,870 --> 00:35:12,070 +ال slides معمولة لأجيال خديمة وكانت جلهم بياخدوا + +410 +00:35:12,070 --> 00:35:14,370 +mathematical physics وبالتالي انا مااخد في عيني + +411 +00:35:14,370 --> 00:35:17,530 +اعتبار انه مرت عليهم الأمور تمام؟ لكن لا ضاير + +412 +00:35:17,530 --> 00:35:24,770 +يمكنك تسألهعشان أقدر أفصل صعب + +413 +00:35:24,770 --> 00:35:26,790 +إن أنا أجلب كل ال slides و بعدين ال next night جاي + +414 +00:35:26,790 --> 00:35:32,310 +أعود أجلبها كمان مرة فالخطيئة في راجبتكم .. خطيئة + +415 +00:35:32,310 --> 00:35:38,090 +حالكم في راجبتكم يعني تمام هيك؟ أي سفسان آخر؟ إذا + +416 +00:35:38,090 --> 00:35:42,850 +الجواب طلع حادة كله اتنين بيجي لهذه .. هذه قصة .. + +417 +00:35:42,850 --> 00:35:47,150 +هذه قصة .. أكم سطح حمامستة .. ذاكريني التكامل تبقى + +418 +00:35:47,150 --> 00:35:49,990 +على المحاضرة الماضية عملنا فيه خمس أسطح المرة دي + +419 +00:35:49,990 --> 00:35:54,150 +إيش بدي أعمل؟ ستة .. اللي .. اللي كان نسيه اللي هو + +420 +00:35:54,150 --> 00:35:56,790 +الـbottom بدي أعمله طبعا جواب اتنين بدي أشوف اللي + +421 +00:35:56,790 --> 00:36:03,210 +أنا بدي أعمل الـ six sides to find the surface + +422 +00:36:03,210 --> 00:36:07,070 +integral we have to calculate the integral over + +423 +00:36:07,070 --> 00:36:14,270 +all the faces كل الأوجه .. هاي كمان مرةشايفين + +424 +00:36:14,270 --> 00:36:21,490 +انتوا الـDS؟ الأخضر DXDY صح؟ والأحمر DXDZ والـI + +425 +00:36:21,490 --> 00:36:26,350 +البردجاني DXDZ بس باتجاه المعاكس التحتاني DXDY + +426 +00:36:26,350 --> 00:36:33,390 +الـfront DYDZ صح؟ الـfront DYDZ باتجاهكم يعني + +427 +00:36:33,390 --> 00:36:39,030 +باتجاه الـI والـback برضه DYDZ بس باتجاه السلب I + +428 +00:36:39,030 --> 00:36:39,970 +حلو + +429 +00:36:42,070 --> 00:36:45,970 +بقول لي نيجي ال top قاللي ال top بتنسوش ال a هدا + +430 +00:36:45,970 --> 00:36:55,410 +هي ها هدا هي ال a اكتبها ال a y تربيع I اتنين X Y + +431 +00:36:55,410 --> 00:37:04,310 +زائد Z تربيع باتجاه ال J زائد اتنين Y Z بتجاه ال K + +432 +00:37:04,310 --> 00:37:06,870 +عشان .. بس عشان نعرف كيف اجت الأمور + +433 +00:37:09,610 --> 00:37:13,270 +هيجي للـ Top الـ Top الـ DS بأي تجاه اتفاجنا؟ + +434 +00:37:13,270 --> 00:37:17,910 +بتجاه الـ K معناته هاي الـ Dot ربودكت مع حدى فبصير + +435 +00:37:17,910 --> 00:37:25,950 +A ضد الـ DS بيساوي 2YZ DXDY DXDY شوفوا احنا بنعمل + +436 +00:37:25,950 --> 00:37:29,070 +Double Integration الآن مش Double Integration برضه + +437 +00:37:29,070 --> 00:37:34,170 +التكامل زي ما تم عملنا Triple أنا عندي Y و Z و DX + +438 +00:37:34,170 --> 00:37:39,670 +و DY الـ Z هذه دخيلةبتشوف جثتها لأ بعول عنها لأ + +439 +00:37:39,670 --> 00:37:45,170 +بدي بعول أخر منهم صح؟ كدش زجب تساوي؟ واحد اذا هذه + +440 +00:37:45,170 --> 00:37:53,390 +واحد فصار التكامل عبارة عن اتنين y dy و تكامل dx + +441 +00:37:53,390 --> 00:37:59,770 +هذه من صفر لواحد وهذه من صفر لواحد لأن طول ال cube + +442 +00:37:59,770 --> 00:38:03,590 +one اعطاني ايه صح تمام؟ طبعا واحد بيقول ممكن أحط + +443 +00:38:03,590 --> 00:38:08,910 +هذه هنا وهذه هنا؟ اه تمامطبيعي هد ايش و Y تربيع + +444 +00:38:08,910 --> 00:38:12,850 +على 2 تديني 1 و هد X بتعطيني واحد واحد في واحد + +445 +00:38:12,850 --> 00:38:23,390 +واحد اذا اول واحدة طلعتها واحد واحد + +446 +00:38:23,390 --> 00:38:29,370 +بظبط هيك؟ حلو؟ خلصنا ال top نيجي لل bottom بالمرة + +447 +00:38:29,370 --> 00:38:35,030 +ايش بتفرق؟ الاتجاه هو ايش كمان؟ ال z قداش ال z؟ + +448 +00:38:35,790 --> 00:38:39,670 +zero لا تظهر نخس واحد، تظهر zero لأنه يدعو محل هذه + +449 +00:38:39,670 --> 00:38:44,950 +الـ z كم؟ zero هذه الـ z لأن ال top كان واحد لما + +450 +00:38:44,950 --> 00:38:52,530 +أكون تحت كم زيت؟ zero إذا ال bottom؟ zero عرفنا + +451 +00:38:52,530 --> 00:38:57,310 +ليش zero؟ كلكم صحين؟ لماذا + +452 +00:38:57,310 --> 00:39:02,090 +لم تتمتوها؟ لإن واحد لو عمل لي هيك .. كيف جابها؟ + +453 +00:39:02,090 --> 00:39:07,240 +وكيف ودها؟ كليكم من تبهين تمامخلصنا الـ Top وخلصنا + +454 +00:39:07,240 --> 00:39:11,200 +الـ Bottom. الآن خلّيني أشوف الـ Right. الـ Right + +455 +00:39:11,200 --> 00:39:16,800 +كيف تجاهه؟ بتجاه الـ J. إذا معناته 2xy زي الـ Z + +456 +00:39:16,800 --> 00:39:22,260 +تربيع. هذه هي Dx Dz. Dx Dz. الـ Y خدخيل، بدي أشوفه + +457 +00:39:22,260 --> 00:39:25,260 +جد بسطه. لأنه بكامل أنا على الـ Dx وعلى الـ Dz. + +458 +00:39:25,340 --> 00:39:29,380 +هذي الـ Y لا بعوضه ولا بجيب قيمته. بعوضه بعراقة + +459 +00:39:29,380 --> 00:39:34,920 +يعني.السطح الأحمر كم هو Y؟ واحد إذاً هذا الله سهل + +460 +00:39:34,920 --> 00:39:43,160 +عليه one فصلت 2X DX زي ال Z تربيع DZ مظبوط ولا لأ + +461 +00:39:43,160 --> 00:39:51,640 +صار بالظبط بدي أكامل هذه عبارة عن 2X DX DZ ال DZ + +462 +00:39:51,640 --> 00:39:58,860 +بتجيب واحد وال 2X DX بتجيب واحد صحيح ولا لأ ال Z + +463 +00:39:58,860 --> 00:40:08,710 +تربيع DZبيجيب زيت تكعيب على تلاتة بيجيب تلت فبيطلع + +464 +00:40:08,710 --> 00:40:11,830 +اربع على تلاتة ايه الجواب؟ + +465 +00:40:30,610 --> 00:40:33,450 +طبعا هنا كان المفروض يكون في كمان dz بس بتجيب واحد + +466 +00:40:33,450 --> 00:40:37,510 +و هنا في كمان dx بس بتجيب واحد هبصير اتنين اكس دي + +467 +00:40:37,510 --> 00:40:42,470 +اكس ابتعطين اكس تربيع على اتنين بتجيب واحد زائد + +468 +00:40:42,470 --> 00:40:49,210 +تلت اللي هي اربعة اتلات تمام يا بنات؟ انا جبت ال + +469 +00:40:49,210 --> 00:40:52,910 +right، انتشوف ال left، ايش بفرق؟ بدل ال y ايش + +470 +00:40:52,910 --> 00:40:58,940 +بتحط؟ Zero، معناته هذه بتروح، بس هذه بتضلهاصح هذه + +471 +00:40:58,940 --> 00:41:04,760 +بتظلها لكن هذه بتروح فبتصير اعطاني + +472 +00:41:04,760 --> 00:41:17,380 +تلت اعطاني تلت تمام اه تمام ارجع هذه روحت بس هذه + +473 +00:41:17,380 --> 00:41:21,440 +ظلت هذه روحت بس هذه ظلت يعني هذه مافيش فيها why + +474 +00:41:21,440 --> 00:41:25,000 +عشان اعوض عنها zero هذه اه روحت هذه بتظل فبتجيب + +475 +00:41:25,000 --> 00:41:25,380 +تلت + +476 +00:41:36,660 --> 00:41:44,800 +ماشي انا هادي اتنين اكس دي اكس دي زد صح لما اضربهم + +477 +00:41:44,800 --> 00:41:48,260 +انت ايش كاتب انا اتنين اكس دي اكس طب و انا احدد دي + +478 +00:41:48,260 --> 00:41:53,820 +زد بقوله اصلا في تكامل من صفر لواحد اعمليه جدسل يا + +479 +00:41:53,820 --> 00:41:57,420 +واحد تمام + +480 +00:42:08,620 --> 00:42:13,120 +نجي للـ front نشوف الـ front اللي عليكم يا بنات + +481 +00:42:13,120 --> 00:42:20,140 +اللي عليكم عبارة عن dy dz صح ولا لأ؟ dy dz باتجاه + +482 +00:42:20,140 --> 00:42:29,300 +الـ I باتجاه الـ I إذا y تربيع dy dz فبتصير خلصنا + +483 +00:42:29,300 --> 00:42:37,900 +من هنا ال front y تربيع dy dzتمام و طبعا لا بتعود + +484 +00:42:37,900 --> 00:42:42,000 +ولا بتغلب حالي لإن Y تربيع دي Y بتعطيني Y تكعيب ع + +485 +00:42:42,000 --> 00:42:46,540 +تلاتة بتعطي تلت و D زد بتديني واحد فتلت في واحد + +486 +00:42:46,540 --> 00:42:52,640 +بتعطيك ايضا تلت طيب ال back بتعطي سلب تلت لإن + +487 +00:42:52,640 --> 00:42:56,880 +مافيش أي إيش أعوض عليه صح ولا لأ فبتعطي سلب تلت + +488 +00:42:56,880 --> 00:43:03,060 +يلا نجمع خلصنا تلت و سلب تلت روحوا هدول اتنين حلو + +489 +00:43:04,020 --> 00:43:08,440 +أربعة أتلات و إيش كمان هنا جيبنا؟ و هنا أظن أننا + +490 +00:43:08,440 --> 00:43:12,680 +جيبنا تلت سالب .. سالب تلت؟ أه أربعة أتلات و أروح + +491 +00:43:12,680 --> 00:43:17,620 +منهم تلت تلت أتلات يعني؟ واحد .. واحد .. واحد + +492 +00:43:17,620 --> 00:43:25,020 +اتنين .. اتنين اللي بديها .. بديها تبت النظرية إذا + +493 +00:43:25,020 --> 00:43:30,820 +ع ال surface طبعاإيش متوقعين أجيب؟ مش هجيبلكم مكعب + +494 +00:43:30,820 --> 00:43:36,780 +بجيبلكم أسطوانة بجيبلكم كرة بجيبلكم نص كرة النص + +495 +00:43:36,780 --> 00:43:40,480 +كرة كام سطح لها؟ + +496 +00:43:40,480 --> 00:43:47,560 +النص كرة البطيخة مسكرة كام سطح لها؟ جسمتها في النص + +497 +00:43:47,560 --> 00:43:51,380 +كام سطح صار؟ بيان الإحمرار ولا لا؟ الإحمرار على + +498 +00:43:51,380 --> 00:43:55,720 +السطح لأ من السطح وهي مسكرة فاش الأخضرارأذا النص + +499 +00:43:55,720 --> 00:44:01,580 +الكرة لها سطحين سطح المجوّس والسطح القاعدة صح ولا + +500 +00:44:01,580 --> 00:44:10,940 +لأ؟ تمام تحكي في ال + +501 +00:44:10,940 --> 00:44:16,320 +front y بتساوي one في ال back y بتساوي zero في ال + +502 +00:44:16,320 --> 00:44:22,420 +front هي ال front اللي عليكي مش y بتساوي one أما + +503 +00:44:22,420 --> 00:44:25,910 +في ال back y بتساوي zeroبس في ال front و في ال + +504 +00:44:25,910 --> 00:44:34,010 +back يا بنتى إيش اسمك؟ نور اه نور اتطلعي مش Y هي X + +505 +00:44:34,010 --> 00:44:39,490 +X X X و بتكلمي بديش أعوض بإيشي فى عندي X أعوض + +506 +00:44:39,490 --> 00:44:44,970 +عنها؟ مافيش ل Y و Y كمالكة في ال front X بيسوا 1 و + +507 +00:44:44,970 --> 00:44:48,710 +في ال back X بيسوا 0 لكن مافيش X عشان أعوض عنه هى + +508 +00:44:48,710 --> 00:44:50,630 +المشكلة أو هى الفرق + +509 +00:44:53,350 --> 00:44:58,090 +إذا الـ Divergence theorem إيش بتسوي إن قعدها بس + +510 +00:44:58,090 --> 00:45:02,310 +شويه المعلومة بتحول ال volume integral ل surface + +511 +00:45:02,310 --> 00:45:05,530 +integral صح ولا بجل ما تجيب volume integral بقولك + +512 +00:45:05,530 --> 00:45:08,690 +جيب surface integral كل واحد بس ال volume integral + +513 +00:45:08,690 --> 00:45:13,470 +لل divergence و ال surface integral لل vectorالـ + +514 +00:45:13,470 --> 00:45:17,730 +divergence له volume انتجرال لكن ع ال surface + +515 +00:45:17,730 --> 00:45:21,690 +بتاخد ال vector نفسه لأن هو اللي جايك ع السطح هو + +516 +00:45:21,690 --> 00:45:24,970 +اللي جايك لأن ال divergence هو المنتشر جايك هو + +517 +00:45:24,970 --> 00:45:30,910 +بحاله اجمعه نفسه كامله ع السطح بتديك نفس النتيجة + +518 +00:45:30,910 --> 00:45:37,810 +تمى قعدنا برضه بنقنعكم إياه بصورة بلدية أكتر ال + +519 +00:45:37,810 --> 00:45:43,050 +Stokes theorem نظرية Stokesبتحول الـ Surface + +520 +00:45:43,050 --> 00:45:48,790 +Integral إلى Line Integral إلى Line Integral إيش + +521 +00:45:48,790 --> 00:45:54,410 +بتقول؟ بتقول الـ character لأي Vector على Surface + +522 +00:45:54,410 --> 00:45:59,510 +بتسوي الـ Line Integral تبع الـ Vector نفسه الـ + +523 +00:45:59,510 --> 00:46:04,610 +Line Integral تبع الـ Vector هلجيت كمان مرة؟ إيش + +524 +00:46:04,610 --> 00:46:09,090 +بقرا بـ L للـ S؟ بقول هو في Surface لا يحاط بخط + +525 +00:46:10,330 --> 00:46:17,050 +إذاً هذا الـ line بحوط هذا ال surface هذا ال line + +526 +00:46:17,050 --> 00:46:21,570 +بحوط هذا ال surface و لما نيجي احنا نتطلع على أي + +527 +00:46:21,570 --> 00:46:25,690 +surface هذا surface عبارة عن مربعات جانب بعض ولا + +528 +00:46:25,690 --> 00:46:30,790 +لأ؟ هي مربعة وهي + +529 +00:46:30,790 --> 00:46:35,290 +مربعة بلا شك أعملها أجيب لون تاني + +530 +00:46:40,570 --> 00:46:45,430 +هدول سير في سير DS و DS و بدي أكمل DS تات كتيرة + +531 +00:46:45,430 --> 00:46:50,530 +حلو بدي أمشي مع عقارب الساعة يا بنات بقول ماشي هيك + +532 +00:46:50,530 --> 00:46:57,810 +وهنا نفس العملية شوفوا + +533 +00:46:57,810 --> 00:47:01,870 +هدول الteenage ايش صار فيهم بلطغيهم طيب هد مش فيه + +534 +00:47:01,870 --> 00:47:06,410 +لوحد تحته؟هذا يبقى بيبقى روح ولي جنبه هذا بيلغي + +535 +00:47:06,410 --> 00:47:10,810 +هذا بيضلك جمع جمع جمع جمع أنا بحكي على اللوح هذا + +536 +00:47:10,810 --> 00:47:14,690 +أخر واحد مافيش حاجة تحته بيضل هذا بيضل هذا الخط و + +537 +00:47:14,690 --> 00:47:17,450 +الخط هذا و الخط هذا و الخط هذا هذا line integral + +538 +00:47:17,450 --> 00:47:21,370 +هذا line integral إذن بدل ما تدخلش على ال surface + +539 +00:47:21,370 --> 00:47:24,970 +لا ماهم بيلغوا بعض في الآخر بيضلش عندك إلا المحولة + +540 +00:47:24,970 --> 00:47:27,350 +عاجزت نفس العملية ال divergence theorem لو هذه + +541 +00:47:27,350 --> 00:47:32,400 +الغرفة اعتبرناها عبارة عن ألف cabrita جانب بعضالف + +542 +00:47:32,400 --> 00:47:36,300 +كيبريتا جانب بعض هي كيبريتا وهي كيبريتا تمام نيجي + +543 +00:47:36,300 --> 00:47:42,000 +هذا السطح لغ هذا ليش هذا كيف اتجاهه السطح هذا من + +544 +00:47:42,000 --> 00:47:50,720 +هذه عمودي و لا الخارج كيف؟ هيك طب و هذا عكسه لغه + +545 +00:47:50,720 --> 00:47:56,060 +طيب هدول لسه عم بكمل هنا في كيبريتا صح في كيبريتا + +546 +00:47:56,060 --> 00:48:03,190 +زي هيك هذا كيف اتجاهه طب و هذا لغ بعضكله يلغي بعض، + +547 +00:48:03,190 --> 00:48:05,490 +ماذا يبقى؟ يقول الكبريطة المنزجة في الحيط ليس هناك + +548 +00:48:05,490 --> 00:48:08,750 +شيء على جانبها يلغيها والكبريطة المنزجة من هنا ليس + +549 +00:48:08,750 --> 00:48:12,990 +هناك شيء يلغيها فالحيطة هذه بتلتغيش والحيطة هذه + +550 +00:48:12,990 --> 00:48:15,410 +بتلتغيش ولا هذا الحيطة ولا هذا الحيطة ولا الأرض + +551 +00:48:15,410 --> 00:48:18,610 +ولا السقف إذن بقى كل الأحجام أنت اشتغلت على ال + +552 +00:48:18,610 --> 00:48:22,590 +surfaces هذا معنى أخر أو إثبات أخر لل divergence + +553 +00:48:22,590 --> 00:48:26,750 +theorem أنه في النهاية يجيك جيك ال vectors أيه + +554 +00:48:26,750 --> 00:48:30,770 +السفسار؟إذاً هذا برضه بريحني بيقول لي بعدين أنت + +555 +00:48:30,770 --> 00:48:34,670 +متيجي بدك تعمل surface integral ممكن ال line + +556 +00:48:34,670 --> 00:48:37,950 +integral يجيبك بس بعدين ما تعمل لل care روح لل + +557 +00:48:37,950 --> 00:48:41,230 +vector نفسه و ال vector ما زال melt way melt way + +558 +00:48:41,230 --> 00:48:46,970 +في النهاية هيجيك على الحواف تمام since the + +559 +00:48:46,970 --> 00:48:49,450 +boundary line for any closed surface shrinks down + +560 +00:48:49,450 --> 00:48:57,090 +to a point إذا معناته لو هذه أنا أغلقته السطح مغلق + +561 +00:48:57,990 --> 00:49:02,810 +نرجع .. هاد او ايه بدي انا .. بدي ورقة .. هاي ورقة + +562 +00:49:02,810 --> 00:49:08,950 +.. هادي ورقة .. سطح يعني .. صح؟ بدي الخط اللي + +563 +00:49:08,950 --> 00:49:15,330 +بيحوطها .. بقوله هايها .. صح؟ طيب .. مش هاد سطح؟ + +564 +00:49:15,330 --> 00:49:18,730 +الكرة سطح ولا مش سطح؟ بدي الخط اللي بيحوط الكرة + +565 +00:49:18,730 --> 00:49:28,430 +نقطة .. نقطة ..لو جبته خيطه و حملته، بتكون حوضت كل + +566 +00:49:28,430 --> 00:49:34,110 +السطح؟ لأ، عشان اتحولت كل السطح، كله بيبقوا يتسكر، + +567 +00:49:34,110 --> 00:49:36,810 +بتبدأوا تعود تسكروه، اذا بيبقوا تبدأوا نقطة و + +568 +00:49:36,810 --> 00:49:41,370 +تخلصوا نقطة، اذا معناته عشان تسكروا سطح مغلق أي إن + +569 +00:49:41,370 --> 00:49:48,070 +كان، لازم ال line يكون نقطة عشان تسكروا سطح مغلق، + +570 +00:49:48,070 --> 00:49:53,510 +ها هذا سطح مغلق هو؟ هذا مش سطح مغلق، عشان كده سكرت + +571 +00:49:53,510 --> 00:49:59,280 +ب lineميح لكن لو كان السطح مغلق مانفعش فيش خيط + +572 +00:49:59,280 --> 00:50:02,520 +تعمله محيط و تقوله سكرت الكرة انت سكرت الكرة ولا + +573 +00:50:02,520 --> 00:50:05,780 +ما سكرتش الكرة بمرة انت خد جزر من السطح عشان تسكر + +574 +00:50:05,780 --> 00:50:10,420 +كل السطح بدك تغطيه كله وتعمل shrinking يعني بتدمج + +575 +00:50:10,420 --> 00:50:14,360 +كله ترجع عندك نقطة بيقول since the boundary line + +576 +00:50:14,360 --> 00:50:20,160 +الخط اللي بيحوط any closed surface shrinks down to + +577 +00:50:20,160 --> 00:50:26,830 +a point ينقبض او يتقلص إلى pointpoint يعني line + +578 +00:50:26,830 --> 00:50:32,470 +integral point معناته لو كان هذا closed بيطلع معاك + +579 +00:50:32,470 --> 00:50:39,830 +zero ال line مش موجود zero لما يكون ال surface + +580 +00:50:39,830 --> 00:50:44,410 +closed يعني + +581 +00:50:44,410 --> 00:50:48,310 +ال care of any vector over closed surface must be + +582 +00:50:48,310 --> 00:50:54,620 +zero must be zero مفهوش اللي يطلع معاك zeroتخيلتوا + +583 +00:50:54,620 --> 00:51:00,760 +انتوا الكورة كيف؟ جيبولكم حاولوا خيط اي line يغطي + +584 +00:51:00,760 --> 00:51:06,100 +كل سطح الكورة، مستحيل، مافيش، لازم يعودوا يصير + +585 +00:51:06,100 --> 00:51:12,340 +عندكم نقطة، تمام المرة الجاية بنعمل checking ل 6th + +586 +00:51:12,340 --> 00:51:17,720 +theorem يعني بنا نجيب هذه و بنا نجيب هذه طبعا عشان + +587 +00:51:17,720 --> 00:51:21,560 +نجيبها بجدين ال surfaceتمام؟ إذا أداني ال surface + +588 +00:51:21,560 --> 00:51:26,260 +بقدر أجيب ال line اللي حوطه صح ولا لأ؟ زي ما أداني + +589 +00:51:26,260 --> 00:51:29,020 +المرضيك مكعب قلت عرفت السطح تبعه المرة دي بدي + +590 +00:51:29,020 --> 00:51:32,140 +أديني ال surface عشان أجيب ال line تبعه و بنكمل + +591 +00:51:32,140 --> 00:51:32,480 +المراجعة + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/hRIkfA0a-bU.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/hRIkfA0a-bU.srt new file mode 100644 index 0000000000000000000000000000000000000000..a449980d361d9e77637eab5099345eda9a9b9adb --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/hRIkfA0a-bU.srt @@ -0,0 +1,1653 @@ +1 +00:00:20,690 --> 00:00:24,910 +أما في المادة العازلة فهو بيساوي D على إبسلون، و + +2 +00:00:24,910 --> 00:00:29,930 +outside بتساوي D على إبسلون، not تمام + +3 +00:00:33,930 --> 00:00:39,230 +بعد هيك جبت فرق الجهد بعد ما عرفت أنه عبارة عن + +4 +00:00:39,230 --> 00:00:42,710 +three integrations; the last integral vanished + +5 +00:00:42,710 --> 00:00:47,390 +since E inside equal to zero، وجبت النتيجة الآن + +6 +00:00:47,390 --> 00:00:53,130 +خلينا بس نعلق على هذا الموضوع، بقول أنا هذه الشحنات + +7 +00:00:53,130 --> 00:00:58,570 +إيش تأثيرها على المادة الـ dielectric؟ احنا متفقين + +8 +00:00:58,570 --> 00:01:01,790 +موضوعنا polarization في الآخر، يعني المفروض أن هذه + +9 +00:01:01,790 --> 00:01:06,040 +المادة يصبح polarization لها، يصير لها polarization بمعنى + +10 +00:01:06,040 --> 00:01:09,320 +آخر، بيصير في عندي شحنات، أن احنا الـ polarization + +11 +00:01:09,320 --> 00:01:14,660 +بدلناه بـ ρb و σb، صحيح ولا لا؟ الـ ρb + +12 +00:01:14,660 --> 00:01:21,160 +بيساوي سالب ديڤ ּ. P، وهذه بيساوي P . N، الـ + +13 +00:01:21,160 --> 00:01:25,980 +polarization . N، حاجة السطح الأخضر أو الزيتي، + +14 +00:01:25,980 --> 00:01:31,420 +أكبر سطح له، المنطقة الخضراء اللي هو + +15 +00:01:35,680 --> 00:01:40,320 +لأ لأ، بدي أقعد كسطح، كسطح، أنتو أوجدوا اتنين، ليش + +16 +00:01:40,320 --> 00:01:43,640 +بطلتم؟ + +17 +00:01:43,640 --> 00:01:47,180 +اللي برا واللي جوه، طب اللي برا جديش الـ normal إله؟ + +18 +00:01:47,180 --> 00:01:51,500 +واللي جوه جديش الـ normal إله؟ عشان أنا بدي P . + +19 +00:01:51,500 --> 00:01:58,280 +N، أحكي يا عزيزي هذه + +20 +00:01:58,280 --> 00:02:00,100 +كانت نص قطر، بدي أنا كـ unit vector + +21 +00:02:03,220 --> 00:02:08,300 +وواحدة ارهاض، وواحدة سالب ارهاض، r = a، و + +22 +00:02:08,300 --> 00:02:12,040 +r = b، خلّيني أول نجيب الـ polarization بعد + +23 +00:02:12,040 --> 00:02:14,860 +ما نجيب .. نتعب عن هذه الجهود، if the dielectric is + +24 +00:02:14,860 --> 00:02:19,500 +linear، على اعتبار أنه linear، إذا معناته الـ P لها + +25 +00:02:19,500 --> 00:02:23,220 +دالة بالـ E، بقولوا هاي الـ P في علاقة، اللي أخذناها هذه + +26 +00:02:23,220 --> 00:02:28,820 +العلاقة P = ε0χE، في E الكبيرة، الـ + +27 +00:02:28,820 --> 00:02:35,090 +E، عوضت محلها، مظبوط ولا لأ؟ حلو، الـ polarization زي + +28 +00:02:35,090 --> 00:02:43,570 +ما أنتم شايفين، ثابتة، تعتمد على R، على R تربيع، إذا + +29 +00:02:43,570 --> 00:02:47,210 +ما هي ثابتة؟ بسيطة، بدّيك أنت الـ R، ما هي الـ R، إيش + +30 +00:02:47,210 --> 00:02:51,670 +بيسوي دل؟ دل . ∇، إيش بيساوي + +31 +00:02:51,670 --> 00:02:53,230 +الـ divergence في الـ spherical coordinates؟ + +32 +00:02:53,230 --> 00:02:57,370 +بنجيبها، هذا هو دل . ∇. P، بيساوي واحد على R + +33 +00:02:57,370 --> 00:03:02,230 +تربيع، R تربيع ∂P/∂R، سين θ ∂P/∂θ، بي ∮ ∂P/∂∮، + +34 +00:03:02,230 --> 00:03:05,790 +تعتمد على θ الـ P؟ لأ، تعتمد على الـ P؟ لأ، تعتمد + +35 +00:03:05,790 --> 00:03:06,810 +على الـ P؟ لأ، تعتمد على الـ P؟ لأ، تعتمد على الـ P؟ + +36 +00:03:06,810 --> 00:03:07,970 +لأ، تعتمد على الـ P؟ لأ، تعتمد على الـ P؟ لأ، تعتمد + +37 +00:03:07,970 --> 00:03:15,880 +على الـ تعتمد على R، تعتمد على R، طب حلو، القانون تبع + +38 +00:03:15,880 --> 00:03:18,000 +الـ divergence اللي اشتقناه احنا وياكم في chapter + +39 +00:03:18,000 --> 00:03:22,200 +one، بيقول R تربيع في الـ PR، هاي الـ PR اضربها في R + +40 +00:03:22,200 --> 00:03:33,100 +تربيع، إيش بيضل؟ فضله، إذا ما في شيء، الـ ρb بتطلع + +41 +00:03:33,100 --> 00:03:39,710 +Zero، الـ ρb طلعت Zero، حساب رياضي، بالرغم من أنها + +42 +00:03:39,710 --> 00:03:43,670 +ليست constant، تعتمد على R، لكن الـ divergence تبقى 0 + +43 +00:03:43,670 --> 00:03:46,690 +وتذاكرين في شغلات كثيرة، الـ divergence تبقى 0، حتى لو + +44 +00:03:46,690 --> 00:03:52,310 +تعتمد على R، زي 1 + +45 +00:03:52,310 --> 00:03:57,400 +على R تربيع، وفي شغلات كثيرة، نأتي للـ σ، الـ σ + +46 +00:03:57,400 --> 00:04:03,240 +بيساوي P . N، P . N، وكما قلت لكم فوق، أو + +47 +00:04:03,240 --> 00:04:09,480 +حكيت لكم يومها كمان، أن الـ inner surface سالب ˆR، + +48 +00:04:09,480 --> 00:04:15,480 +والـ outer surface موجب ˆR، هاي الـ P في الـ outer + +49 +00:04:15,480 --> 00:04:23,080 +بتحطّ لي ضد ˆR، وفي الـ inner، P ضد -ˆR، تطلع + +50 +00:04:23,080 --> 00:04:27,850 +ده موجبة؟ واحدة سالبة، واحدة موجبة، وواحدة سالبة + +51 +00:04:27,850 --> 00:04:33,070 +أدخل بس، طبعاً بدل الـ R في الـ inner حطيت a، وفي الـ + +52 +00:04:33,070 --> 00:04:38,010 +outer حطيت b، لأنه + +53 +00:04:38,010 --> 00:04:42,150 +دايماً إلى الخارج، مظبوط ولا لأ؟ إلى الخارج، انتبهوا + +54 +00:04:42,150 --> 00:04:46,170 +لي، الـ inner سالب، مظبوط، والـ outer ماله موجب، نشوف + +55 +00:04:46,170 --> 00:04:51,790 +الرسم عشان بس يعني، هنا صار فيه سالب، وهنا + +56 +00:04:53,270 --> 00:04:56,030 +طب هذا منطقي ولا مش منطقي؟ هذه ليست جواب، يا + +57 +00:04:56,030 --> 00:05:01,850 +بناتي، أذكّركم في الأسماء أخذناها في فيزياء، بقى هذه Q، + +58 +00:05:01,850 --> 00:05:07,470 +وهذه كانت هي الـ conductor، قلنا نقول سالب Q، زائد Q، + +59 +00:05:07,470 --> 00:05:13,650 +الجريمة بتاخد السالب، صح؟ ولا لما تكون هذه conductor، + +60 +00:05:13,650 --> 00:05:18,980 +بتكون هذه زي هذه بس معكسها، الآن هذه ليست كوندكتور، + +61 +00:05:18,980 --> 00:05:24,840 +طلعت سالبة، لكنها لا تعمل بالظبط، وين طلعت؟ طلعت + +62 +00:05:24,840 --> 00:05:34,160 +هكذا، وقتيش هذه تطلع سالب σ، سالب σ، إيش يعني + +63 +00:05:34,160 --> 00:05:38,760 +سالب σ؟ المفروض سالب q على 4πa تربيع، هذا + +64 +00:05:38,760 --> 00:05:43,700 +سالب σ، q على المساحة، تمام، احنا نعرف + +65 +00:05:43,700 --> 00:05:49,700 +الـ conductor، هذه لو كانت conductor، كاي للكوندكتور، جوز + +66 +00:05:49,700 --> 00:05:54,860 +تماماً، نهائياً، لأي كوندكتور، حكيناها صحيح؟ طب نتطلع + +67 +00:05:54,860 --> 00:06:00,700 +هذه كاي، وهذه ε، وهذه ε0، هذه عبارة عن + +68 +00:06:00,700 --> 00:06:05,700 +ε0εr، مظبوط؟ مش ε، مش ساوي + +69 +00:06:05,700 --> 00:06:09,100 +ε0 في العلاقة اللي كنا نعرفها، علاقة الـ εr + +70 +00:06:09,100 --> 00:06:12,680 +ذاكرين، مش مش ساوي بالنسبة للـ susceptibility؟ + +71 +00:06:12,680 --> 00:06:16,440 +الـ εr، مش هذه عبارة عن 1 + + +72 +00:06:16,440 --> 00:06:22,960 +susceptibility؟ صح؟ موجودة، طلعوا عليه، أتصرف معاكم + +73 +00:06:22,960 --> 00:06:28,400 +هذه ما حد يروحها، هذه كاي، وهذه 1 + كاي، لما + +74 +00:06:28,400 --> 00:06:33,840 +كاي تكون كبيرة، 1 + كاي ممكن أسميها كاي؟ صح؟ + +75 +00:06:33,840 --> 00:06:37,600 +إذا معناته هذه كاي، وهذه كاي، راحت، إيه صار؟ كاي على + +76 +00:06:37,600 --> 00:06:43,490 +4πr تربيع؟ for a conductor، وهنا q على 4π + +77 +00:06:43,490 --> 00:06:48,590 +r تربيع، for a conductor، فهمتوا عليها كيف؟ الـ + +78 +00:06:48,590 --> 00:06:51,830 +conductor، برجع المعلومة اللي احنا بنعرفها، لكن في + +79 +00:06:51,830 --> 00:06:55,010 +الـ insulator، بيكون في عندكم شحنات تأثيرية، لكن + +80 +00:06:55,010 --> 00:06:59,050 +بيساويهاش بالظبط، غير عن الـ free، الـ free بياخد كل + +81 +00:06:59,050 --> 00:07:03,320 +شيء وبيفلت، يعني كل إلكترون بياخد إلكترون وبيفلت + +82 +00:07:03,320 --> 00:07:07,860 +بروتُون موجب، لكن هنا لأ، بيصير في عملية، زي ما اتفقنا + +83 +00:07:07,860 --> 00:07:12,120 +is not free, they are attached to some atoms or + +84 +00:07:12,120 --> 00:07:17,440 +some molecules. Note + +85 +00:07:17,440 --> 00:07:19,640 +that the surface bounded charge on the inner + +86 +00:07:19,640 --> 00:07:23,460 +surface is negative as expected. ال كلام + +87 +00:07:23,460 --> 00:07:26,080 +اللي بحكيه على الـ conductor موجود، ملاحظة في الكتاب + +88 +00:07:26,080 --> 00:07:28,540 +كاتبين إنه افحص في الـ conductor، إيش بيصير + +89 +00:07:31,230 --> 00:07:35,330 +كمعنى؟ أي استفسار يا بنات على المثال هذا؟ إذا احنا + +90 +00:07:35,330 --> 00:07:41,750 +بسهولة ممكن نجيب الـ Sigmas، أه، ميح، اللي ذكرتوني + +91 +00:07:41,750 --> 00:07:46,670 +أنا بدي أرجع للرسمة، أنا توا حليت السؤال كيف؟ أنا + +92 +00:07:46,670 --> 00:07:51,990 +حليت السؤال على قانون غاوس تبع الـ D الجديد، بدي أحله + +93 +00:07:51,990 --> 00:07:54,430 +على القانون الجديد، مش هتبقى معايا إجابة ولا لأ؟ + +94 +00:07:54,430 --> 00:07:59,330 +أرجع للرسمة، هذه الحمراء، الـ Red، عشان مش هنضل + +95 +00:07:59,330 --> 00:08:08,040 +نوديها ونجيبها، وهادي هيك اللي هي الـ Green، مظبوط + +96 +00:08:08,040 --> 00:08:14,580 +هيك ولا لأ؟ أنا بدي أجيب شدة المجال الكهربائي، طبعاً + +97 +00:08:14,580 --> 00:08:21,440 +هنا Zero، مظبوط؟ هذه a، وهذه b، بدي أجيب شدة المجال + +98 +00:08:21,440 --> 00:08:24,640 +هنا، وانسوا لي قانون غاوس الجديد، بدي قانون غاوس + +99 +00:08:24,640 --> 00:08:26,640 +القديم، ميح، حكي؟ + +100 +00:08:30,910 --> 00:08:36,810 +التكامل المغلق ∮E.dS = qenclosed على ε0 + +101 +00:08:36,810 --> 00:08:42,490 +هذا قانون غاوس، صحيح ولا لأ؟ هذا 4π + +102 +00:08:42,490 --> 00:08:47,250 +r تربيع، ما في مشكلة، من يجيب لي qenclosed؟ هل جئت؟ + +103 +00:08:47,250 --> 00:08:56,130 +هل في q؟ هيها، على ε0، ما في غيرها؟ مش توا قلت + +104 +00:08:56,130 --> 00:09:01,170 +في σ's، صار في عندي هنا σin وهنا σout، + +105 +00:09:01,170 --> 00:09:07,730 +مظبوط ولا لأ؟ لو في ρ، ما نبدأها، دير بالكم + +106 +00:09:07,730 --> 00:09:13,410 +الـ ρ، عشان هذه المنطقة بدّيها، لكن الحمد لله قد إيش + +107 +00:09:13,410 --> 00:09:17,600 +طلعت ρ، لأ، طبعاً ... هذه ... هذه ... هجيتها لما قلت + +108 +00:09:17,600 --> 00:09:21,140 +الـ qenclosed، قال لي كل الـ q's، الـ bound والـ free، + +109 +00:09:21,140 --> 00:09:26,080 +كلّه، صح؟ طبعاً لو في ρ هنا، بقول له ρ، بدي + +110 +00:09:26,080 --> 00:09:29,400 +ρ في الحجم، والحجم بدي أجيبه، وهذا الحجم، دير + +111 +00:09:29,400 --> 00:09:33,280 +بالكم هو (4/3)πb3 - (4/3)πa3، المنطقة هذه، صح ولا لأ؟ لكن الحمد لله + +112 +00:09:33,280 --> 00:09:36,260 +ρ قد إيش طلعت؟ 0، طيب، σ، بدي σ، إذا زائد σ، + +113 +00:09:36,260 --> 00:09:43,070 +في 4πa تربيع، صح ولا لأ؟ وين هي σ؟ بقول له + +114 +00:09:43,070 --> 00:09:49,230 +هيها هيها، بجيبها، تتعود عنها، تحطّها، وهي اللي بيحط + +115 +00:09:49,230 --> 00:09:57,470 +هنا، ناقص، أنا حاطّطها، ليش؟ بعرفني إيش بالكوند، أنا بحط + +116 +00:09:57,470 --> 00:10:00,830 +زائد σ، بتطلع الـ σin، جبتها، سالب، هو أنت لما + +117 +00:10:00,830 --> 00:10:07,630 +كنت تطبّق قانون غاوس، مش كنت تقول، إذا كانت شحنة + +118 +00:10:07,630 --> 00:10:09,990 +موجبة، بحطّها موجبة، وإذا كانت سالبة، سالبة، وهذه نفس + +119 +00:10:09,990 --> 00:10:14,670 +العملية، طلعت سالبة، بتحطّها سالبة، فبتحط هذه، وعوض عنها + +120 +00:10:14,670 --> 00:10:19,430 +لو جئت عوضت، 4πa تربيع مع 4πa تربيع + +121 +00:10:19,430 --> 00:10:27,200 +بتروح، فبتصير، خليني ... خليني أرسمها، q + بصير سالب + +122 +00:10:27,200 --> 00:10:35,840 +ε0κe/ε = q، وهذه ε0 + +123 +00:10:35,840 --> 00:10:43,740 +تابعين معايا؟ هذه q، افتح + +124 +00:10:43,740 --> 00:10:51,440 +غاوس، 1 - ε0κε/ε على + +125 +00:10:51,440 --> 00:10:52,240 +ε0 + +126 +00:10:56,010 --> 00:11:11,450 +وبتساوِ q (1 - ε0κε/ε) / ε0 + +127 +00:11:11,450 --> 00:11:17,370 +نشتغل، هذه عبارة عن εrε0، مظبوط ولا لأ؟ ε + +128 +00:11:17,370 --> 00:11:29,230 +0، طالع برا، فبتصير q(εr - 1) / ε0، اللي هي χ على + +129 +00:11:29,230 --> 00:11:37,090 +ε، تمام، هذه واحد، زي الـ χ، ناقص χ زي 1، هذه + +130 +00:11:37,090 --> 00:11:44,830 +كلها q / ε فيها، وطبعاً في عندي ε0 + +131 +00:11:44,830 --> 00:11:50,370 +4πr، طلعي جواب، طلعي جواب زي الأول، إذا تبعتوا، + +132 +00:11:50,370 --> 00:11:52,970 +قدرتوا تتبعوا معايا؟ أنه طلعي جواب ولا أضحكت + +133 +00:11:52,970 --> 00:12:00,860 +عليكم؟ قلت أمين، وسكت، أه ولا يا غدير، ما تبعتيش؟ + +134 +00:12:00,860 --> 00:12:04,080 +خليني، أنتم بتابعين، هذه εr بتساوي 1 + + +135 +00:12:04,080 --> 00:12:09,440 +χ، ذاكرينها؟ 1 + χ، ناقص χ، 1، إذا + +136 +00:12:09,440 --> 00:12:14,340 +هذه كلها اللي أنا qenclosed طلعت q / ε، لكن + +137 +00:12:14,340 --> 00:12:20,040 +أنا في عندي هنا 4πr تربيع، إذا طلعت الـ E + +138 +00:12:20,040 --> 00:12:28,360 +بتساوي q على هاي، 4πR تربيع، وهي ε، نفس + +139 +00:12:28,360 --> 00:12:31,860 +الـ E اللي طلعتها، Ebetween، إذا كنتوا طلعتوا عليها + +140 +00:12:31,860 --> 00:12:35,220 +طب + +141 +00:12:35,220 --> 00:12:39,280 +سؤالي لكم الآن، كيف بدي أجيب اللي برا؟ لو بدي أجيب + +142 +00:12:39,280 --> 00:12:46,620 +هنا إيش qenclosed؟ + +143 +00:12:46,620 --> 00:12:56,220 +طب، طلعوا عليهم، إذا ما طلعت مش متساويتين، زائد σ، فيه + +144 +00:12:56,220 --> 00:13:02,180 +في الـ 4πr، عبارة، فيه، ترمية، ومن عندها الـ ρ، الـ ρ + +145 +00:13:02,180 --> 00:13:09,130 +برا، الـ ρ، صفر، طب، أه، بس، طلع علي، بالرغم إنهم مش + +146 +00:13:09,130 --> 00:13:13,910 +متساويات، لكن إذا رجعت ... إذا رجعتي، قولنا هذه σ، + +147 +00:13:13,910 --> 00:13:18,130 +بضربها في الـ area، هذه بضربها في الـ area، في 4π + +148 +00:13:18,130 --> 00:13:21,470 +a تربيع، وهذه في 4πb تربيع، برجع زي ما قعد، في + +149 +00:13:21,470 --> 00:13:24,670 +الغبّاية، تمام؟ لكن ما تدفعش تقولي في الغبّاية، الـ + +150 +00:13:24,670 --> 00:13:27,850 +σ's، الـ q's اللي ... اللي غبّاية، سمّيت عليها؟ لأن + +151 +00:13:27,850 --> 00:13:31,230 +الـ σ's مش زي بعض، لكن لما أنا بدأت الـ q، أنا بقى + +152 +00:13:31,230 --> 00:13:33,070 +بدور على الـ q، والـ q بالصيغة σ في الـ area، + +153 +00:13:33,070 --> 00:13:37,130 +فهذه الـ area تبعتها، وهذه الـ area تبعتها، فلما تطلع + +154 +00:13:37,130 --> 00:13:39,650 +بتاعي، هادي وهادي، بيلغوا بعض، فبرجع لنفسه، وعملية، و + +155 +00:13:39,650 --> 00:13:42,630 +يبقى نفس القانون، وهذا كلام دقيق ... هذه اللي حكينا + +156 +00:13:42,630 --> 00:13:48,210 +عند الشباب، قالوا خلّصت الـ ... الشغلة، بنارّه، بنخلّيها + +157 +00:13:48,210 --> 00:13:52,510 +مخلّصتش، لأن القضية هو كان طالب جهد، وخلاص، لكن في + +158 +00:13:52,510 --> 00:13:56,290 +مجلّد واحد، في بعض الأسئلة في الكتاب، هتشوفه بيقول لك + +159 +00:13:56,290 --> 00:14:00,730 +حلّها بواسطة غاوس لِـ D، وتبع الـ E، مقارنة + +160 +00:14:00,730 --> 00:14:10,130 +بينهم، أحكي إيه برا، أه، طلع هي إيه، في 4πr + +161 +00:14:10,130 --> 00:14:16,680 +تربيع، بيساوي 1 / ε0، هي q + σin + +162 +00:14:16,680 --> 00:14:21,100 +في 4πa تربيع + σout، فبالتالي يجمع على + +163 +00:14:21,100 --> 00:14:25,040 +σin؟ استنى شوية، في 4πa تربيع، أنت + +164 +00:14:25,0 + +223 +00:19:30,960 --> 00:19:34,400 +طيب، الـcurved كيف اتجاه الـsurface تبعه؟ الـarea؟ + +224 +00:19:34,400 --> 00:19:43,420 +الـcurved، هذا اللي... بأي اتجاه؟ طيب، إيش... و هذا + +225 +00:19:43,420 --> 00:19:47,770 +باتجاه الذنب؟ مظبوط؟ الـE باتجاه الـZ، و هذا + +226 +00:19:47,770 --> 00:19:51,570 +باتجاه الـR كده. زاوية بين الـZ و الـR؟ تسعين + +227 +00:19:51,570 --> 00:19:56,990 +درجة. تسعين. الله يسهل عليك. هو ده اللي قال، اتروح عشان + +228 +00:19:56,990 --> 00:20:01,210 +يتزاوى بينهم تسعين. perpendicular to each other، صح؟ + +229 +00:20:01,210 --> 00:20:08,350 +ولا لأ؟ طيب، الـupper surface شايفة وين موجود؟ الـ + +230 +00:20:08,350 --> 00:20:11,810 +upper surface وين موجود؟ الـupper surface؟ + +231 +00:20:14,400 --> 00:20:21,060 +وين موجود؟ جوا الحمار! شو هذا؟ هذا الـcapacitor، + +232 +00:20:21,060 --> 00:20:25,560 +الـcapacitor ماشي، بتاية بتتكون من بلات وبلات، إيش + +233 +00:20:25,560 --> 00:20:28,060 +مالهم؟ لازم الـblades دول يكونوا؟ مش conductor و + +234 +00:20:28,060 --> 00:20:31,940 +conductor؟ و بينهم مادة عازلة؟ إذا الحمار هذا + +235 +00:20:31,940 --> 00:20:35,920 +conductor، هل جيتك الـblades الفجانية جوا الحمار؟ + +236 +00:20:35,920 --> 00:20:41,690 +جوا الـconductor؟ في مجال جوا الـconductor؟ عشان + +237 +00:20:41,690 --> 00:20:44,470 +فيه عازل؟ جوا الكون في الدك مش عشان فيها عازل، جدّيش + +238 +00:20:44,470 --> 00:20:53,170 +المجال ده خلق الـconductor. إذا هذا صفر ليه + +239 +00:20:53,170 --> 00:20:58,230 +الصفر؟ لإن ده صفر. لإن جوا الـconductor صفر، اللي + +240 +00:20:58,230 --> 00:21:03,590 +هادي، هالـgate، هادي كيف اتجاه الـDS تبعد؟ لتحت، لأسفل + +241 +00:21:03,590 --> 00:21:08,470 +وهدي لأسفل. زاوية بينهم صفر. وقصدي الـzero one فصرت + +242 +00:21:08,470 --> 00:21:16,330 +دي S بتساوي Q free and closed، كاللي أنسى هنا إيه + +243 +00:21:16,330 --> 00:21:18,790 +الصرف. ليش عندك شحنات؟ بدي الـfree، بقول الـfree + +244 +00:21:18,790 --> 00:21:23,650 +هدول، هدي. مظبوط ولا لأ؟ بدك هدي؟ ها، بدك كل الشحنات + +245 +00:21:23,650 --> 00:21:28,550 +ولا جزء؟ جزء بس بيساوي سيجما في الـS. نفس الـS + +246 +00:21:28,550 --> 00:21:34,370 +تبعته، أيّ، هالـS تبعتك أيضا. صحّح، جمهورنا مش + +247 +00:21:34,370 --> 00:21:37,930 +عاجبها! لا، عشان صفر، مش بالعلاوة، مش بالأعظم الحكاية. + +248 +00:21:42,430 --> 00:21:48,270 +على قرمحي، نفس دالة القفل، مظبوط هيك؟ تمام. جدّيش دي + +249 +00:21:48,270 --> 00:21:53,810 +طلعت سيجما. ذاكرين لما قلت لكم دي وسيجما يا خوات، دي + +250 +00:21:53,810 --> 00:21:59,550 +وحدتها، وحدة سيجما هي دي. طلعت سيجما، كلها معالمات + +251 +00:21:59,550 --> 00:22:02,290 +التربية زمان. حكيته الكلام، طبعا لما قلت زمان يعني + +252 +00:22:02,290 --> 00:22:05,010 +المحاضرة الماضية. آه، يعني يوم الأربعة أو يوم + +253 +00:22:05,010 --> 00:22:10,620 +التانية. المهم، طلعنا دي، noting that D is + +254 +00:22:10,620 --> 00:22:13,240 +perpendicular to the curved surface، زي ما حكيت + +255 +00:22:13,240 --> 00:22:16,560 +قولها. D is perpendicular to the curved surface. + +256 +00:22:16,560 --> 00:22:20,020 +while it is zero for the upper case، زي ما حكيت. + +257 +00:22:20,020 --> 00:22:24,100 +عشان مافيش عندي D بتساوي zero جوا الـconductor. + +258 +00:22:24,100 --> 00:22:28,260 +and it is constant over the lower base، و الـlower + +259 +00:22:28,260 --> 00:22:33,940 +base، طلعتها سيجما في A. أنا سحتيت، وهتتبعها طبعا + +260 +00:22:33,940 --> 00:22:38,380 +السالب هتيجي عشان direction مش أكتر. سالب K هي الـD. + +261 +00:22:40,280 --> 00:22:45,920 +تبدي E إيه؟ ما أنت عندك قانون بيقول D بنسوّي + +262 +00:22:45,920 --> 00:22:49,680 +الـEpsilon في E. وهذه عبارة عن Epsilon R في Epsilon + +263 +00:22:49,680 --> 00:22:53,140 +Note، صح ولا لأ؟ وهذه المادة، Epsilon R تبعتها، تدّاتك + +264 +00:22:53,140 --> 00:23:01,400 +إياها. إذا بقدر أجيب E ولا لأ؟ جيبت E، هاي E على + +265 +00:23:01,400 --> 00:23:05,100 +Epsilon بدون + +266 +00:23:05,100 --> 00:23:09,110 +ضرب، إلكترون. كوينها. هاي هي هذه، بدون الـDielectric. + +267 +00:23:09,110 --> 00:23:13,990 +زمان جبت بتاع بالـDielectric، إيش بتفرق؟ بدي الـY + +268 +00:23:13,990 --> 00:23:19,110 +Note، إيش حطيت؟ من أكبر؟ Y ولا Y Note؟ طيب، من أقل + +269 +00:23:19,110 --> 00:23:34,450 +إذن؟ دي الجديدة ولا دي القديمة؟ مش + +270 +00:23:34,450 --> 00:23:41,400 +هذه أكبر؟ إذن هذه؟ أقل. إذا المجال في الـ dielectric + +271 +00:23:41,400 --> 00:23:46,080 +electric، قلّ ولا زاد؟ قلّ، ما زال، قلّ للمجال. + +272 +00:23:46,080 --> 00:23:52,640 +و أنا عندي قانون بيقول V بيساوي E في D. هذا قلّ، + +273 +00:23:52,640 --> 00:23:58,320 +إيه الصرف في هذا؟ قلّ؟ طب، و السعة بيساوي Q على V. + +274 +00:23:58,320 --> 00:24:02,460 +هذا قلّ، إيه الصرف في هذه؟ زادت. زي ما كنا بنقول + +275 +00:24:02,460 --> 00:24:10,460 +إذا معناته الـ dielectric نقص المجال، وبالتالي نقص + +276 +00:24:10,460 --> 00:24:14,940 +الجهد، وبالتالي زاد الشحنة. طب، عاوز أقولك كيف نقص؟ + +277 +00:24:14,940 --> 00:24:17,760 +بقوله، مش أنت بتقول هذه positive وهذه negative؟ هذه + +278 +00:24:17,760 --> 00:24:21,160 +بيصير لها polarization. حصيلة عندك سيجما هنا وسيجما + +279 +00:24:21,160 --> 00:24:28,900 +هنا، صح؟ هذه سيجما بيه وهذه سيجما بيه. المجال الجديد + +280 +00:24:28,900 --> 00:24:34,590 +مش المفروض يكون من موجب لسالب؟ هذه إيه؟ شرطة؟ إذا + +281 +00:24:34,590 --> 00:24:37,510 +إنت، المجال الكل اللي قاعد بتجيبه هو هذا ناقص هذا. + +282 +00:24:37,510 --> 00:24:43,010 +هذا ناقص هذا. إذا قلّ ولا زاد؟ قلّ، لأنك أنت بتطرح + +283 +00:24:43,010 --> 00:24:47,450 +قاعد، هذا ناقص هذا. هدول ليش سميّناهم بقى؟ هدول الـ + +284 +00:24:47,450 --> 00:24:51,810 +sigma P و sigma B. بدي أجيبهم كيف؟ أجيبهم؟ زي ما + +285 +00:24:51,810 --> 00:24:57,190 +توجّبته في الكرة. بدي أشوف آه... هذه القطعة الخضراء + +286 +00:24:57,190 --> 00:25:00,850 +كم سطح لها؟ + +287 +00:25:00,850 --> 00:25:10,300 +اللي هم... فوق وتحت. طب، وجوانب؟ هم بهاد، لكن فيما + +288 +00:25:10,300 --> 00:25:15,740 +لو كانوا موجودين يا غدير، كيف العمودي عليهم؟ تسعين + +289 +00:25:15,740 --> 00:25:18,960 +مع الـE ومع الـPolarization. فبالتالي، بتجمعش حتى + +290 +00:25:18,960 --> 00:25:22,280 +لو كانوا موجودين. هو أنا مش شايفهم نظريّا، مظبوط؟ لكن + +291 +00:25:22,280 --> 00:25:25,500 +حتى لو بدي أقول هذا capacitor وأنا شايفه فيه تورا + +292 +00:25:25,500 --> 00:25:30,160 +هناك شحنات. فيش، تمام. بقول + +293 +00:25:30,160 --> 00:25:38,310 +لي، since إبسلون، أحكِ، احكي بعيد، إيه؟ احكي وبدأ + +294 +00:25:38,310 --> 00:25:41,670 +تمام. + +295 +00:25:41,670 --> 00:25:45,050 +إذا كانت السؤال بسيطة فكرت بقول، سهل عليك + +296 +00:25:45,050 --> 00:25:51,620 +المعلومة برجع فيها. تمام، since إبسلون أكبر من + +297 +00:25:51,620 --> 00:25:54,320 +إبسلون نوت، the electric field inside the + +298 +00:25:54,320 --> 00:25:56,540 +capacitor decreases، هذا الكلام قبل طول حكيته، بس + +299 +00:25:56,540 --> 00:26:00,440 +بقرأه، when the dielectric is inserted between its + +300 +00:26:00,440 --> 00:26:02,900 +conductors، so the potential difference will also + +301 +00:26:02,900 --> 00:26:06,000 +be decreased، the capacitance will increases by a + +302 +00:26:06,000 --> 00:26:11,340 +factor of إبسلون. تمام، الآن بدي أجيب الـSigmas + +303 +00:26:11,340 --> 00:26:16,700 +هدول. بقول الـpolarization اعتبارًا أنّه linear، الـ + +304 +00:26:16,700 --> 00:26:19,340 +polarization هي بتساوي إبسلون نوت كاي E في الـE. الـE + +305 +00:26:19,340 --> 00:26:25,920 +بتساوي سالب سيجما في K على E. جبناها. تمام. هاي الـ + +306 +00:26:25,920 --> 00:26:30,400 +polarization. اتطلعوا على الـpolarization. تعتمد على + +307 +00:26:30,400 --> 00:26:35,020 +X أو Y أو Z أو R أو ثيتا أو حاجة. الـpolarization + +308 +00:26:35,020 --> 00:26:42,070 +ثابتة. إذا معناته الدليل إن هي الدليل وين هي؟ رو. + +309 +00:26:42,070 --> 00:26:48,310 +الـرو هذه وينها؟ لو كانت موجودة هنا، جوا المادة، + +310 +00:26:48,310 --> 00:26:54,560 +جوا حجم المادة. طبعا، إذا أنت بدك تعملها، إذا موجودة + +311 +00:26:54,560 --> 00:26:59,180 +عشان كده. لكن الآن، جديد، صلت معايا الـرو. معناته هنا + +312 +00:26:59,180 --> 00:27:02,940 +فيش رو. بس هنا فيه وهنا فيه، الـnegative و الـ + +313 +00:27:02,940 --> 00:27:09,760 +positive. هدول، نيجي الـnormal تبع حدّ. كيف اتجاهه؟ آه + +314 +00:27:09,760 --> 00:27:18,100 +لأعلى K، وهذا لأسفل، سالب K. هو ده اتجاهه. والله + +315 +00:27:18,100 --> 00:27:18,460 +ضعتي. + +316 +00:27:22,910 --> 00:27:26,950 +مش قدرت أقولها! لأ، لأ، ضاعتش. طيب، نصّ نصّ، يعني الـبيض + +317 +00:27:26,950 --> 00:27:34,030 +الوجه يطلع. تمام. أنا الآن بدي أقول يا بنات، هو إيش + +318 +00:27:34,030 --> 00:27:38,290 +المادة كلّها بتعمل؟ بيقول، بيقول إن المادة اللي مش + +319 +00:27:38,290 --> 00:27:43,270 +conductor أو مش الفراغ بصير فيها polarization. إيش + +320 +00:27:43,270 --> 00:27:47,250 +يعني الـpolarization؟ يعني الدايبولات تبعتها بتترتب + +321 +00:27:47,250 --> 00:27:53,920 +مظبوط ولا لأ؟ كيف ما زالت ركّبت، معناته صار في عندك + +322 +00:27:53,920 --> 00:27:59,000 +هيك ترتيبهم. بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف + +323 +00:27:59,000 --> 00:28:01,580 +نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف + +324 +00:28:01,580 --> 00:28:03,160 +بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف + +325 +00:28:03,160 --> 00:28:06,100 +نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف + +326 +00:28:06,100 --> 00:28:08,400 +بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف + +327 +00:28:08,400 --> 00:28:09,880 +نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف، بوزيتف، نيجاتف + +328 +00:28:09,880 --> 00:28:19,740 +بوزيتف، نيجاتف، بوزيتف + +329 +00:28:19,740 --> 00:28:23,930 +نيجاتف. الشيء اللي إيه؟ الـnormal على الـ + +330 +00:28:23,930 --> 00:28:26,990 +surface اللي بدك تجيبه. أنا الـsurface عندي هيّه، + +331 +00:28:26,990 --> 00:28:30,150 +هل الـnormal تبقى اللي فوق، و هل الـnormal تبقى + +332 +00:28:30,150 --> 00:28:35,750 +اللي تحت؟ الفوقانية K، والتحتانية سالب K، مظبوط ولا + +333 +00:28:35,750 --> 00:28:40,810 +لأ؟ فلما قاعدين نعمل، + +334 +00:28:40,810 --> 00:28:44,470 +قلنا الـrow طلعت zero لأنه لا تعتمد ولا على + +335 +00:28:46,200 --> 00:28:48,560 +Dimensional. على إيه؟ طبعا لو بدي أجيب Cartesian + +336 +00:28:48,560 --> 00:28:51,720 +Coordinates، X، Y، و Z. لا تعتمدش على X، Y، Z. لأن في + +337 +00:28:51,720 --> 00:28:55,120 +نهاية، دلّ ضغط. partial على partial X، partial على + +338 +00:28:55,120 --> 00:28:58,940 +partial Y، partial على partial Z. هيّا لا تعتمدش على + +339 +00:28:58,940 --> 00:29:06,680 +X ولا Y ولا Z. نيجي الـP ضغط، الـN بقول هذه ضغط، الـK للـ + +340 +00:29:06,680 --> 00:29:13,380 +upper، وضغط السالب K للـlower. فطلعت الـupper سالبة + +341 +00:29:14,190 --> 00:29:17,490 +والـlower موجبة. ما هو ده شيء منطقي، ده هي لسه هي + +342 +00:29:17,490 --> 00:29:22,730 +معطوفة. الـupper تنية سالبة، والتحت تنية موجبة، مظبوط. + +343 +00:29:22,730 --> 00:29:28,770 +ولا لأ؟ طيب، لو المادة الخضراء كانت conductor، هيّا + +344 +00:29:28,770 --> 00:29:32,870 +وهيّا كانت هذه موجبة، وكانت هذه سالبة، وهذه المادة الـ + +345 +00:29:32,870 --> 00:29:38,410 +insulator اللي حاطيتها. بس أنا هأفعلها conductor. + +346 +00:29:42,030 --> 00:29:47,130 +ماذا تتوقع أن يحصل؟ لو هذه سيجما، هذه لازم تكون + +347 +00:29:47,130 --> 00:29:52,410 +ثالث سيجما وهذه، صحّ. + +348 +00:29:52,410 --> 00:29:56,490 +هي الأصل. لو كانت conductor، وقت إيش هذه ستصبح + +349 +00:29:56,490 --> 00:30:01,990 +conductor؟ لما كاي يذهب إلى مالانهاية. لما كاي يذهب + +350 +00:30:01,990 --> 00:30:05,110 +إلى مالانهاية. من أين بدي أجيب كاي هذه؟ عبارة عن + +351 +00:30:05,110 --> 00:30:11,260 +إبسلون نوت في واحد زائد كاي، اللي هي إبسلون ار. واحد زائد + +352 +00:30:11,260 --> 00:30:15,640 +كاي مع كاي بيضيعوا بعض، و هادي مع إبهادي بيضيعوا بعض. + +353 +00:30:15,640 --> 00:30:19,660 +بصيغة عين، السالب سيجما و سيجما. زي ما أنا ولدت من + +354 +00:30:19,660 --> 00:30:29,840 +الأول. هدا + +355 +00:30:29,840 --> 00:30:34,720 +مثال آخر. كيف أطبّق قانون جاوس، وأتعامل مع الـ + +356 +00:30:34,720 --> 00:30:37,740 +dielectric بكل تفاصيله، إيش بيسوّي في الـcapacitor + +357 +00:30:37,740 --> 00:30:46,280 +وهو أشهر حاجة. تمّ. دي كونداكتور. + +358 +00:30:46,280 --> 00:30:49,540 +إنسوليتر. + +359 +00:30:49,540 --> 00:30:54,500 +و الـ إبسلون ار. عشان هيك احنا قلنا إنّه سيجما كانت + +360 +00:30:54,500 --> 00:30:58,780 +على السطح نفس الموجب بقى، ومش هتسيب السالبة اللي + +361 +00:30:58,780 --> 00:31:03,860 +تحتها سالبة، بس مش نفسها. مش نفس السيجما، لأنه طلع هي + +362 +00:31:03,860 --> 00:31:05,040 +هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي + +363 +00:31:05,040 --> 00:31:05,960 +هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي + +364 +00:31:05,960 --> 00:31:05,980 +هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي هي + +365 +00:31:05,980 --> 00:31:07,010 +هي هي هي هي هي هي هي هي هي هي هي هي هي هولّا حاجة + +366 +00:31:07,010 --> 00:31:10,810 +في سيجما بتساوي الـسيجما. وقت إيش هذه بتساوي سيجما + +367 +00:31:10,810 --> 00:31:13,990 +exactly؟ لما يكون المادة conductor، و لا + +368 +00:31:13,990 --> 00:31:18,170 +الـ conductor، إبسلون R، أو كاي كوستر مالانهاية. هذه + +369 +00:31:18,170 --> 00:31:25,930 +المعلومة المحتواة. أي + +370 +00:31:25,930 --> 00:31:26,750 +استفسار آخر؟ + +371 +00:31:45,510 --> 00:31:50,350 +تمام. الآن، الـboundary value problems with linear + +372 +00:31:50,350 --> 00:31:55,950 +dielectric. احنا عندنا القانون، تربيع الـV بتساوي + +373 +00:31:55,950 --> 00:32:01,490 +zero. هذه معادلة مين؟ هذه معادلة لابلاس. حلّيناها بالـ + +374 +00:32:01,490 --> 00:32:03,290 +Cartesian Coordinates، وحلّيناها بالـSpherical + +375 +00:32:03,290 --> 00:32:06,870 +Coordinates. بالـSpherical Coordinates، قدّ عندي الـ + +376 +00:32:06,870 --> 00:32:11,510 +Legendre. وقلنا عشان تحلها، بتطلع ثوابت. عشان تطلع + +377 +00:32:11,510 --> 00:32:16,210 +ثوابت، بتبقى boundary value conditions، عشان تعملها. + +378 +00:32:16,210 --> 00:32:21,570 +اذاكر الـboundary condition. جالي E1n - E2n بتساوي + +379 +00:32:21,570 --> 00:32:29,490 +سيجما على x0، وE1t بيساوي E2t، وV1 بيساوي V2. هدول الـ + +380 +00:32:29,490 --> 00:32:32,950 +boundary conditions اللي استخدمته. بدي أشوف أول هذه + +381 +00:32:32,950 --> 00:32:36,730 +المعادلة، ده صحيح المطلوب ولا مش صحيح المطلوب؟ إذا كان + +382 +00:32:36,730 --> 00:32:40,670 +المفروض بدي أحلها، بدي هدول، دالّهم لما هما، ولا ممكن + +383 +00:32:40,670 --> 00:32:45,150 +أغيّر فيهم؟ إذًا، هذا موضوعي الآن، الـBoundary Value + +384 +00:32:45,150 --> 00:32:48,310 +Problems. يعني شُعبة ثلاثة بتدقّق دي عشان تشغلهم، أشوف + +385 +00:32:48,310 --> 00:32:51,990 +إيش بده يصير تعديل عليه. Gauss's law، عدّلنا عليه، بدل + +386 +00:32:51,990 --> 0 + +445 +00:38:00,110 --> 00:38:04,810 +دي اتنين . في ال lower هاي ال upper وهاي ال + +446 +00:38:04,810 --> 00:38:10,910 +lower صح ولا لأ؟ حلو طبعا هنا مافيش command S + +447 +00:38:10,910 --> 00:38:13,230 +بتساوي + +448 +00:38:13,950 --> 00:38:20,210 +هذه سيجما في S إيش + +449 +00:38:20,210 --> 00:38:25,230 +علاقة الان قبر مع الان لور؟ هل هما عكس بعض ولا لا؟ + +450 +00:38:25,230 --> 00:38:33,350 +عكس الاشي وبتساوي إذا دي واحد ناقص دي اتنين ناقص + +451 +00:38:33,350 --> 00:38:41,270 +ان دي S بتساوي سيجما S أنا بذكر بعيد شطر اتنين + +452 +00:38:42,140 --> 00:38:48,520 +الشغلة . الـ I إيه . ال I يا هدا؟ عشان أنا صح + +453 +00:38:48,520 --> 00:38:54,460 +صحيك اه + +454 +00:38:54,460 --> 00:39:01,780 +اتذكرتيها ax طيب دي . ال N دي + +455 +00:39:01,780 --> 00:39:06,620 +N إذا ها دي . ال N . ال N صح دي واحد N مخص دي + +456 +00:39:06,620 --> 00:39:13,350 +اتنين N و Sigma مع حد راحت بيصير Sigma. إذا الـ + +457 +00:39:13,350 --> 00:39:18,090 +Boundary Condition هذا اتغير هذا أتي من قانون جاوس + +458 +00:39:18,090 --> 00:39:26,030 +بطل صار المفعول صار D1N-D2N بتساوي Epsilon 3 Sigma + +459 +00:39:26,030 --> 00:39:32,630 +إذا معناته الكلام اللي صار معايا أنا بيقولي from + +460 +00:39:32,630 --> 00:39:35,690 +equation 14 اللي هو قانون جاوس اللي بتحكي عنه صار + +461 +00:39:35,690 --> 00:39:42,380 +عندي D1N-D2N بتساوي Sigma 3 سيجما free مافي شي + +462 +00:39:42,380 --> 00:39:47,860 +سيجما و free انا قللي دعوة في ال free تمام and + +463 +00:39:47,860 --> 00:39:53,120 +from equation 15 اللي هي اللي هي actually equation + +464 +00:39:53,120 --> 00:40:02,500 +15 دي بتساوي ابسلون نوت في E زائد B مرت + +465 +00:40:02,500 --> 00:40:07,720 +عليكم معادلة زيها دي؟ يلا نعمل carry لها carry دي + +466 +00:40:07,720 --> 00:40:18,130 +بتساوي ابسلون نوت كيرل E دا كيرل P جمعنا كيرل E جداش + +467 +00:40:18,130 --> 00:40:24,230 +دائما Zero إذا هذا بيروح المعادلة اللي كتبتها + +468 +00:40:24,230 --> 00:40:30,700 +عرفتوا كيفي جت دل كروس ال D بيساوي دل كروس ال E تمام + +469 +00:40:30,700 --> 00:40:34,880 +والهدى اللي حكيناها ان ال curl تبعها مش ضرورة + +470 +00:40:34,880 --> 00:40:38,080 +يكون zero لأنه مرات ال prioritization ال curl + +471 +00:40:38,080 --> 00:40:42,980 +تبعها بيكونش zero إذا بيقول لي ال curl of D is not + +472 +00:40:42,980 --> 00:40:46,800 +necessary vanish like the curl of E ال curl of E + +473 +00:40:46,800 --> 00:40:52,470 +دائما vanished so we still have لكن بيقول لي الـ + +474 +00:40:52,470 --> 00:40:56,370 +Tangential Component الـ Tangential Component يعني + +475 +00:40:56,370 --> 00:41:00,210 +أنا ما أقدرش أقول دي واحد T بتساوي دي اتنين T لأن + +476 +00:41:00,210 --> 00:41:04,570 +هذه من وين إجت؟ هذه إجت من العلاقة تكامل الإي . + +477 +00:41:04,570 --> 00:41:10,630 +الدي ال بيساوي صفر، صح؟ وهذه ماقدرتش أكتبها إلا + +478 +00:41:10,630 --> 00:41:14,270 +بعد مجلة دي اللي cross الإي بيساوي صفر هل دي اللي + +479 +00:41:14,270 --> 00:41:19,370 +cross الدي صفر؟ لأ، إذا ما أقدرش أقول دي بدل الإي، + +480 +00:41:19,370 --> 00:41:25,420 +بقول الإي خليها زي ما هي إذن هذه دلّا زي ما هي لأن + +481 +00:41:25,420 --> 00:41:30,100 +ال curl تبع ال E هو الصفر لكن ال curl تبع ال D not + +482 +00:41:30,100 --> 00:41:36,300 +zero تمام طيب طب هو إيش بيجي يساوي بالنسبة ل ال + +483 +00:41:36,300 --> 00:41:40,340 +Tangential component of D؟ قال لي ولا حاجة هذه ال + +484 +00:41:40,340 --> 00:41:47,480 +E بالنسبة equation 13 قال لي هي ال D D بتساوي E نوت + +485 +00:41:47,480 --> 00:41:50,360 +E زائد B، مظبوط ولا لأ؟ جيب لي الـ Tangential + +486 +00:41:50,360 --> 00:41:52,700 +component تبعت هذه و ال Tangential component تبعت + +487 +00:41:52,700 --> 00:41:54,720 +هذه و ال Tangential component تبعت هذه فإذا احنا + +488 +00:41:54,720 --> 00:41:57,460 +في أي vector بيقول المراكبة المماسية هنا بتساوي + +489 +00:41:57,460 --> 00:42:00,020 +المراكبة المماسية هنا المراكبة المماسية هنا بتساوي + +490 +00:42:00,020 --> 00:42:02,280 +المراكبة المماسية هنا بيدي المراكبة المماسية + +491 +00:42:02,280 --> 00:42:09,140 +المماسية تبعت هذه المعادلة بقى بقدر أقول DT بتساوي + +492 +00:42:09,140 --> 00:42:16,570 +E نوت E T زائد BT بقدر أقول هيك، صح؟ تمام هارجاتي + +493 +00:42:16,570 --> 00:42:23,290 +one one one دي اتنين Tangential بتساوي ابسلون نوت + +494 +00:42:23,290 --> 00:42:28,210 +اتنين Tangential زائد بي اتنين Tangential حلو + +495 +00:42:28,210 --> 00:42:35,650 +اطرح لي هذا من هذه بقول دي واحد T ناقص دي اتنين T + +496 +00:42:35,650 --> 00:42:38,190 +بتساوي لما اطرح حد من هذه ايش بصير + +497 +00:42:43,920 --> 00:42:50,000 +صفر إذا إيش بيبقى عندي بي واحد T ناقص بيتنين T إذا + +498 +00:42:50,000 --> 00:42:59,020 +بدك ال component of D بيعتمدوا على ال P بيعتمدوا + +499 +00:42:59,020 --> 00:43:05,640 +على ال P برضه هذه المعادلة عملها فدي واحد T ناقص + +500 +00:43:05,640 --> 00:43:09,800 +بيتنين T بتساوي بيواحد T ناقص بيتنين T و طبعا + +501 +00:43:09,800 --> 00:43:16,340 +هذه على طول اللي هي ساعة المفعول بتجيب هذه على طول + +502 +00:43:16,340 --> 00:43:21,440 +إذا فقط في condition واحد بيتغير اللي هو الأولاني + +503 +00:43:21,440 --> 00:43:33,180 +بدل من أقول E1N-E2N أنا أقول D1N-D2N المثال + +504 +00:43:33,180 --> 00:43:37,030 +اللي مش هحلله اليوم طلعوا المثال اللي أنا أذكركم + +505 +00:43:37,030 --> 00:43:40,790 +فيه جيبت كونداكتور و حطيته في uniform electric field + +506 +00:43:40,790 --> 00:43:45,090 +ذاكرينه؟ قولت بتتشوه المجال الكهربائي في المنطقة + +507 +00:43:45,090 --> 00:43:49,050 +اللي حوالين الكونداكتور جوا الكونداكتور إيش كان؟ + +508 +00:43:49,050 --> 00:43:52,430 +المجال كده إيش لازم يكون؟ صفر الآن بقول ليه ما بديش + +509 +00:43:52,430 --> 00:43:56,670 +أحط كونداكتور؟ بدي أحط كرة insulator، dielectric + +510 +00:43:56,670 --> 00:44:03,080 +حطيتها في مجال أصلي إيه صار؟ بقول جوه مش contactor + +511 +00:44:03,080 --> 00:44:07,560 +المجال بيساوي الصفر لكن هل بيساوي اللي برا؟ لأ إذا + +512 +00:44:07,560 --> 00:44:13,760 +الدعاء المطلوب مني إيجاد الجهد برا و جوه نيجي لل + +513 +00:44:13,760 --> 00:44:17,440 +boundary conditions عند R بتساوي صفر في boundary + +514 +00:44:17,440 --> 00:44:21,480 +condition عالمي، ما بتغيرش عند R بتساوي + +515 +00:44:21,480 --> 00:44:27,980 +صفر، إيش الجهد؟ الجهد ممنوع يساوي من نهايته طيب صح صح + +516 +00:44:27,980 --> 00:44:31,660 +يا غدير، أكيد؟ عندي الارناني نهاية، إيش الجهد + +517 +00:44:31,660 --> 00:44:41,180 +بيكون؟ عشان الكل يمشي صح صح، وقتي الصفر لما يكون + +518 +00:44:41,180 --> 00:44:45,740 +المجال جاي من الكرة، لكن في مجال أصلي ولا لا؟ + +519 +00:44:45,740 --> 00:44:48,060 +ولما جالك فيه عندك uniform electric field، إيش + +520 +00:44:48,060 --> 00:44:50,380 +uniform؟ عند النهايات موجودة مش موجودة؟ + +521 +00:44:50,380 --> 00:44:52,600 +موجودة، موجودة، موجودة، موجودة، موجودة، موجودة، + +522 +00:44:52,600 --> 00:44:53,160 +موجودة، موجودة، موجودة، موجودة، موجودة، موجودة، + +523 +00:44:53,160 --> 00:45:07,760 +موجودة، موجودة، موجود + +524 +00:45:07,960 --> 00:45:10,840 +محنا في عندنا علاقة E بتساوي سالب دي لل V وبنجيبها + +525 +00:45:10,840 --> 00:45:14,920 +أو بنتكامل ما هي هي تمام؟ إذا هاي two boundary + +526 +00:45:14,920 --> 00:45:17,160 +condition بعدين عندي V واحد بتساوي V اتنين مش + +527 +00:45:17,160 --> 00:45:19,560 +boundary condition؟ هاي كمان boundary condition + +528 +00:45:19,560 --> 00:45:22,940 +وبعدين D واحد N ناقص D اتنين N بتساوي سيجما مظبوطه + +529 +00:45:22,940 --> 00:45:25,980 +أو لأ؟ برضه ممكن نجيبه وبنفس الشغل عليهم المرة + +530 +00:45:25,980 --> 00:45:27,880 +الجاية إن شاء الله diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/hRIkfA0a-bU_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/hRIkfA0a-bU_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..ac981840daebfbbdc2dcea33c3cf5aee23b45503 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/hRIkfA0a-bU_postprocess.srt @@ -0,0 +1,2120 @@ +1 +00:00:20,690 --> 00:00:24,910 +أما في المادة العازلة فهو بيساوي D على إبسلون و + +2 +00:00:24,910 --> 00:00:29,930 +outside بتساوي D على إبسلون not تمام + +3 +00:00:33,930 --> 00:00:39,230 +بعد هيك جبت فرق الجهد بعد ما عرفت انه عبارة عن + +4 +00:00:39,230 --> 00:00:42,710 +three integrations the last integral vanished + +5 +00:00:42,710 --> 00:00:47,390 +since E inside equal to zero و جبت النتيجة الان + +6 +00:00:47,390 --> 00:00:53,130 +خلينا بس نعلق على هذا الموضوع بقول انا هذه الشحنات + +7 +00:00:53,130 --> 00:00:58,570 +ايش تأثيرها على المادة الـ dielectric احنا متفقين + +8 +00:00:58,570 --> 00:01:01,790 +موضوعنا polarization في الآخر يعني المفروض ان هذه + +9 +00:01:01,790 --> 00:01:06,040 +المادة يصبح polarizationيصيرها polarization بمعنى + +10 +00:01:06,040 --> 00:01:09,320 +آخر بيصير في عندي شحنات ان احنا ال polarization + +11 +00:01:09,320 --> 00:01:14,660 +سبدلناه ب raw b و sigma b صحيح ولا لا ال raw b + +12 +00:01:14,660 --> 00:01:21,160 +بيساوي سالب دي ضد ال b وهذه بيساوي P ضد ال N ال + +13 +00:01:21,160 --> 00:01:25,980 +polarization ضد ال N حاجة السطح الأخضر أو الزيتي + +14 +00:01:25,980 --> 00:01:31,420 +أكبر سطح له المنطقة الخضراء اللي هو + +15 +00:01:35,680 --> 00:01:40,320 +لأ لأ بدي أقعد كسطح كسطحة فانتوا توجدوا اتنين ليش + +16 +00:01:40,320 --> 00:01:43,640 +بطلتوا؟ + +17 +00:01:43,640 --> 00:01:47,180 +اللي برا و اللي جوه طب اللي برا جديش ال normal إله + +18 +00:01:47,180 --> 00:01:51,500 +و اللي جوه جديش ال normal إله عشان أنا بدي P ضبط + +19 +00:01:51,500 --> 00:01:58,280 +ال N أحكي يا عزيزي هذه + +20 +00:01:58,280 --> 00:02:00,100 +كانت نص قطر بدي أنا ك unit vector + +21 +00:02:03,220 --> 00:02:08,300 +و واحدة ارهاد و واحدة سلب ارهاد ات ار بتساوي a و + +22 +00:02:08,300 --> 00:02:12,040 +ات ار بتساوي b خلّيني أول نجيب ال polarization بعد + +23 +00:02:12,040 --> 00:02:14,860 +ما نجيب .. نتعب عن هذه الجهود if the dielectric is + +24 +00:02:14,860 --> 00:02:19,500 +linear على اعتبار انه linear إذا معناته ال P لها + +25 +00:02:19,500 --> 00:02:23,220 +دعوة بال E بقولوا هاي ال P في حياة اللي ناخدنا هذه + +26 +00:02:23,220 --> 00:02:28,820 +العلاقة P بتساوي epsilon not chi E في capital E ال + +27 +00:02:28,820 --> 00:02:35,090 +E عوضت محلهامظبوطيك ولا لأ؟ حلو ال polarization زي + +28 +00:02:35,090 --> 00:02:43,570 +ما انتوا شايفين ثابتة تعتمد على Rعلى R تربيع، اذا + +29 +00:02:43,570 --> 00:02:47,210 +ماذ ثابتة؟ بسيطة، بديك انت الـR ما هي الـR، ايش + +30 +00:02:47,210 --> 00:02:51,670 +بيسوي دل؟ دل ضد الـdivergence ايش بيسوي + +31 +00:02:51,670 --> 00:02:53,230 +الـdivergence في الـspherical coordinates؟ + +32 +00:02:53,230 --> 00:02:57,370 +بنجيبها، هدا هي دل ضد الـP، بيسوي واحد على R + +33 +00:02:57,370 --> 00:03:02,230 +تربيع، R تربيع PR سين ثيتا بي ثيتا، بي فاي فاي، + +34 +00:03:02,230 --> 00:03:05,790 +تعتمد على ثيتا الـP؟ لأ، تعتمد على الـP؟ لأ، تعتمد + +35 +00:03:05,790 --> 00:03:06,810 +على الـP؟ لأ، تعتمد على الـP؟ لأ، تعتمد على الـP؟ + +36 +00:03:06,810 --> 00:03:07,970 +لأ، تعتمد على الـP؟ لأ، تعتمد على الـP؟ لأ، تعتمد + +37 +00:03:07,970 --> 00:03:15,880 +على الـتعتمد على R تعتمد على R طب حلو القانون تبع + +38 +00:03:15,880 --> 00:03:18,000 +ال divergence اللي اشتقناه احنا وياكم في chapter + +39 +00:03:18,000 --> 00:03:22,200 +one بيقول R تربيع في ال PR هاي ال PR اضربوها في R + +40 +00:03:22,200 --> 00:03:33,100 +تربيع ايش بيضال؟ فضله اذا مافيش شيء ال raw B بتطلع + +41 +00:03:33,100 --> 00:03:39,710 +Zero ال raw B طلعت Zero حساب رياضيبالرغم من أنها + +42 +00:03:39,710 --> 00:03:43,670 +ليست constant تعتمد على R لكن ال divergence تبقى 0 + +43 +00:03:43,670 --> 00:03:46,690 +وتذاكرين في شغلات كتير ال divergence تبقى 0 حتى لو + +44 +00:03:46,690 --> 00:03:52,310 +تعتمد على R زي 1 + +45 +00:03:52,310 --> 00:03:57,400 +على R تربيع وفي شغلات كتيرنأتي للـ Sigma الـ Sigma + +46 +00:03:57,400 --> 00:04:03,240 +بيساوي P ضد الـ N P ضد الـ N و كما قلت وي أم فوق + +47 +00:04:03,240 --> 00:04:09,480 +أو حدكت يومانا كمان ان ال inner surface سالب R hat + +48 +00:04:09,480 --> 00:04:15,480 +و ال outer surface موجب R hat هاي ال P في ال outer + +49 +00:04:15,480 --> 00:04:23,080 +بتحطلي ضد R hat و في ال inner R ضد نقص R hat تتطلع + +50 +00:04:23,080 --> 00:04:27,850 +ده موجبة؟و واحدة سالبة واحدة موجبة و واحدة سالبة + +51 +00:04:27,850 --> 00:04:33,070 +هدغل بس طبعا بدل ال R في ال inner حطيت A و في ال + +52 +00:04:33,070 --> 00:04:38,010 +out حطيت B لأنه + +53 +00:04:38,010 --> 00:04:42,150 +دايما إلى الخارج مظبوط ولا لأ؟ إلى الخارج انتبهوا + +54 +00:04:42,150 --> 00:04:46,170 +لي ال inner سالب مظبوط و ال outer ماله موجب نشوف + +55 +00:04:46,170 --> 00:04:51,790 +الرسم عشان بس يعني هنا صار فيه سالب وهنا + +56 +00:04:53,270 --> 00:04:56,030 +طب هذا منطقي و لا مش منطقي؟ هذه ليست جبابة يا + +57 +00:04:56,030 --> 00:05:01,850 +بناتي أذكركم في الأسماء أخدناها في فيزيا بقى هذه Q + +58 +00:05:01,850 --> 00:05:07,470 +وهذه كانت هي ال conductor قلنا نقول سلب Q زادة Q + +59 +00:05:07,470 --> 00:05:13,650 +الجريمة بتاخد السلب صح ولا لما تكون هذه conductor + +60 +00:05:13,650 --> 00:05:18,980 +بتكون هذه زي هذه بس معكسهاالان هذه ليست كوندكتر، + +61 +00:05:18,980 --> 00:05:24,840 +طلعت سالبة لكنها لا تعمل بالظبط وين طلعت؟ طلعت + +62 +00:05:24,840 --> 00:05:34,160 +هكذا وقتيش هذه تطلع سالب سيجما سالب سيجما أيش يعني + +63 +00:05:34,160 --> 00:05:38,760 +سالب سيجما؟ المفروض سالب q على 4 πا اتربيع هذا + +64 +00:05:38,760 --> 00:05:43,700 +سالب سيجما، كيو على المساحة تمام احنا نعرف + +65 +00:05:43,700 --> 00:05:49,700 +الكوندكتر، هذه لو كانت كوندكتركاي للكندكتور جوز + +66 +00:05:49,700 --> 00:05:54,860 +تماما نهائيا لأي كندكتور حكيناها صحيح؟ طب نتطلع + +67 +00:05:54,860 --> 00:06:00,700 +هذه كاي وهذه إبسلون وهذه إبسلون نوت هذه عبارة عن + +68 +00:06:00,700 --> 00:06:05,700 +إبسلون نوت في إبسلون R مظبوط؟ مش إبسلون مش ساوي + +69 +00:06:05,700 --> 00:06:09,100 +إبسلون نوت في القابة اللي كنا نعرفها قابة الإبسلون + +70 +00:06:09,100 --> 00:06:12,680 +R ذاكرين مش مش ساوي بالنسبة لل susceptibility؟ + +71 +00:06:12,680 --> 00:06:16,440 +الإبسلون Rمش هذه عبارة عن واحد زائد + +72 +00:06:16,440 --> 00:06:22,960 +susceptibility؟ صح؟ موجودة طلعوا عليه أتصرف معاكم + +73 +00:06:22,960 --> 00:06:28,400 +هذه ما حد يروحها هذه كاي وهذه واحد زائد كاي لما + +74 +00:06:28,400 --> 00:06:33,840 +كاي تكون كبيرة واحد زائد كاي ممكن أسميها كاي؟ صح؟ + +75 +00:06:33,840 --> 00:06:37,600 +إذا معناته هذه كاي وهذه كاي روحت إيه صار كيه على + +76 +00:06:37,600 --> 00:06:43,490 +أربع باقي تربية؟for a conductor و هنا Q على 4π + +77 +00:06:43,490 --> 00:06:48,590 +بتربيع for a conductor فهمتوا عليها كيف؟ ال + +78 +00:06:48,590 --> 00:06:51,830 +conductor بترجع المعلومة اللي احنا بنعرفها لكن في + +79 +00:06:51,830 --> 00:06:55,010 +ال insulator بيكون في عندكم شحنات تأثيرية لكن + +80 +00:06:55,010 --> 00:06:59,050 +بيستويهاش بالظبط غير عن ال free ال free بياخد كل + +81 +00:06:59,050 --> 00:07:03,320 +شيءوبيفلت يعني كل إلكترون بياخد إلكترون وبيفلت + +82 +00:07:03,320 --> 00:07:07,860 +بروتون موجب لكن هنا لأ بيصير في عملية زي ما اتفقنا + +83 +00:07:07,860 --> 00:07:12,120 +is not free they are attached to some atoms or + +84 +00:07:12,120 --> 00:07:17,440 +some molecules Note + +85 +00:07:17,440 --> 00:07:19,640 +that the surface pounded charge on the inner + +86 +00:07:19,640 --> 00:07:23,460 +surface is negative as expected exclusively الكلام + +87 +00:07:23,460 --> 00:07:26,080 +اللي بحكيه على ال conductor موجود ملاحظة في الكتاب + +88 +00:07:26,080 --> 00:07:28,540 +كاتبين إنه افحص في ال conductor إيش بيصير + +89 +00:07:31,230 --> 00:07:35,330 +كمعنى؟ أي استفسار يا بنات على المثال هذا؟ إذا إحنا + +90 +00:07:35,330 --> 00:07:41,750 +بسهولة ممكن نجيب الـSigmas أه، ميح اللي ذكرتوني + +91 +00:07:41,750 --> 00:07:46,670 +أنا بدي أرجع للرسمة، أنا توي حليت السؤال كيف؟ أنا + +92 +00:07:46,670 --> 00:07:51,990 +حليت السؤال على قانون جوز تبع الـD لجديد، بدي أحله + +93 +00:07:51,990 --> 00:07:54,430 +على القانون الجديد، مش هبقى معايا إجابة ولا لأ؟ + +94 +00:07:54,430 --> 00:07:59,330 +أرجع للرسمة، هذه الحمرة الـRed عشان مش هضلنا + +95 +00:07:59,330 --> 00:08:08,040 +أوديها و أجيبهاوهادي هيك اللي هي الـ Green مظبوط + +96 +00:08:08,040 --> 00:08:14,580 +هيك ولا لأ؟ انا بدي اجيب شدة المجال الكهربائي طبعا + +97 +00:08:14,580 --> 00:08:21,440 +هنا Zero مظبوط؟ هذه A وهذه B بدي اجيب شدة المجال + +98 +00:08:21,440 --> 00:08:24,640 +هنا وانسوا لي قانون جوز الجديد بدي قانون جوز + +99 +00:08:24,640 --> 00:08:26,640 +الجديد ميحك؟ + +100 +00:08:30,910 --> 00:08:36,810 +التكامل المغلق a dot ds بيساوي q enclosed على أبسل + +101 +00:08:36,810 --> 00:08:42,490 +نوت هذا قانون جديد صحيح ولا لأ؟ هذا a في أربعة by + +102 +00:08:42,490 --> 00:08:47,250 +r تربيه مافي مشكلة من يجيب لي q enclosed هل جيت؟ + +103 +00:08:47,250 --> 00:08:56,130 +هل في q هيها على أبسل نوت مافيش غيرها؟مش توي قولت + +104 +00:08:56,130 --> 00:09:01,170 +في sigma's صار في عندى هنا sigma in و هنا sigma + +105 +00:09:01,170 --> 00:09:07,730 +out مظبوط ولا لأ؟ لو في روكي ما نبديها دير بالكم + +106 +00:09:07,730 --> 00:09:13,410 +الرولها مشان هذه المنطقة بديها لكن الحمد لله قدش + +107 +00:09:13,410 --> 00:09:17,600 +طلعت رولأه طبعا .. هذي .. هذي .. هجيتها لما قول + +108 +00:09:17,600 --> 00:09:21,140 +الـQ enclosed قال لي كل الـQ's الـbound والـfree + +109 +00:09:21,140 --> 00:09:26,080 +كله صح؟ طبعا لو في كيمن هنا raw بقول له كيمن بدي + +110 +00:09:26,080 --> 00:09:29,400 +raw في الحجم و الحجم بدي أجيبه و هذا الحجم دير + +111 +00:09:29,400 --> 00:09:33,280 +بالكم هو أربعة تلاتة by R تكعيب ناقص أربعة تلاتة + +112 +00:09:33,280 --> 00:09:36,260 +by E تكعيب المنطقة هذه صح ولا لأ؟ لكن الحمد لله + +113 +00:09:36,260 --> 00:09:43,070 +raw جديش طلعت0 طيب سيجما بدي سيجما إذا زائد سيجما + +114 +00:09:43,070 --> 00:09:49,230 +في أربعة by إيه تربية صح ولا لأ وين هي سيجما بقوله + +115 +00:09:49,230 --> 00:09:57,470 +هيها هيها بكتجيبها تتعود عنها تحطهاوهي اللي بيحط + +116 +00:09:57,470 --> 00:10:00,830 +هناقص انا حاططها ليش بعرفني ايش بالكند انا بحط + +117 +00:10:00,830 --> 00:10:04,910 +زائد سيجما بتطلع السيجما in لجيتها سالب هو انت لما + +118 +00:10:04,910 --> 00:10:07,630 +كنت تطبق قانون gauss مش كنت تقول اذا كانت شحنة + +119 +00:10:07,630 --> 00:10:09,990 +مودة بحطها مودة وإذا كانت سلبة سلبة وهذه نفس + +120 +00:10:09,990 --> 00:10:14,670 +العملية طلعت سالب بتحطها سالب فبتحط هذه وعوض عنها + +121 +00:10:14,670 --> 00:10:19,430 +لو اتيت عوضت اربعة by ا تربيع مع اربعة by ا تربيع + +122 +00:10:19,430 --> 00:10:27,200 +بتروح فبتصير خليني .. خليني ارسمها Q زائدبصير سالب + +123 +00:10:27,200 --> 00:10:35,840 +Epsilon Note Ke على Epsilon وهي Q وهذه Epsilon + +124 +00:10:35,840 --> 00:10:43,740 +Note تابعين معايا؟ هذه Q افتح + +125 +00:10:43,740 --> 00:10:51,440 +جوس واحد ناقص Epsilon Note Ke على Epsilon على + +126 +00:10:51,440 --> 00:10:52,240 +Epsilon Note + +127 +00:10:56,010 --> 00:11:11,450 +وبتساوى Q نقص E Note K E على E Note E ده + +128 +00:11:11,450 --> 00:11:17,370 +نشتغل هذه عبارة عن E R في E Note مظبوط ولا لأ E + +129 +00:11:17,370 --> 00:11:29,230 +Note طالع برا فبتصير Q E R ناقص واحداللي هي xi على + +130 +00:11:29,230 --> 00:11:37,090 +epsilon تمام هذه واحد زي الكاي نقص كاي زي واحد هذه + +131 +00:11:37,090 --> 00:11:44,830 +كلها Q على epsilon فيها وطبعا في عندي epsilon نقطة + +132 +00:11:44,830 --> 00:11:50,370 +أربع بايت طلعي جواب طلعي جواب زي الأول إذا تبعتوا، + +133 +00:11:50,370 --> 00:11:52,970 +كدرتوا تتبعوا معايا؟ انه طلعي جواب و لا أضحكت + +134 +00:11:52,970 --> 00:12:00,860 +عليكم؟قلت أمين و سكته أه ولا يا غدير ماتبعتيش + +135 +00:12:00,860 --> 00:12:04,080 +خليني انتوا بتابعين هذي يبسلون ار بيساوي واحد زائد + +136 +00:12:04,080 --> 00:12:09,440 +كاي، ذاكرينها؟ واحد زائد كاي ناكس كاي، واحد، اذا + +137 +00:12:09,440 --> 00:12:14,340 +هذي كلها اللي انا q enclosed طلعت q على يبسلون لكن + +138 +00:12:14,340 --> 00:12:20,040 +انا في عندى هنا اربعة by r تربيع اذا طلعت ال E + +139 +00:12:20,040 --> 00:12:28,360 +بتساوي Qعلى هاي أربعة by R تربيع وهي إبسلون نفس + +140 +00:12:28,360 --> 00:12:31,860 +الـ E اللي طلعتها E between إذا كنت طلعتوا عليها + +141 +00:12:31,860 --> 00:12:35,220 +طب + +142 +00:12:35,220 --> 00:12:39,280 +سؤالي إلكم الآن كيف بدي أجيب اللي برا؟ لو بدي أجيب + +143 +00:12:39,280 --> 00:12:46,620 +هنا إيش Q enclosed؟ + +144 +00:12:46,620 --> 00:12:56,220 +طب طلع عليهم إذا مضعوش مش متساويتينزائد سيقنا بيه + +145 +00:12:56,220 --> 00:13:02,180 +في الاربع عبارة بيه ترمية و من عندها ال raw ال raw + +146 +00:13:02,180 --> 00:13:09,130 +برا ال raw سفرطب اه بس طلع علي بالرغم ان هم مش + +147 +00:13:09,130 --> 00:13:13,910 +متسويات لكن اذا رجعت .. اذا رجعتي قولنا هذه sigma + +148 +00:13:13,910 --> 00:13:18,130 +بيدروبها في ال area هذي بيدروبها في ال area في 4π + +149 +00:13:18,130 --> 00:13:21,470 +a تربيع و هذي في 4π تربيع برجع زي ما قعد في + +150 +00:13:21,470 --> 00:13:24,670 +الغباعة تمام؟ لكن ماتدفعش تقولي في الغباعة ال + +151 +00:13:24,670 --> 00:13:27,850 +sigma's ال cues اللي اللي غباعة تسميت عليها؟ لإن + +152 +00:13:27,850 --> 00:13:31,230 +ال sigma's مش زي بعضلكن لما انا بدأت الـ Q انا بقى + +153 +00:13:31,230 --> 00:13:33,070 +بدور على الـ Q و الـ Q بالصفة Sigma في ال area + +154 +00:13:33,070 --> 00:13:37,130 +فهذه ال area تبعتها و هذه ال area تبعتها فلما تطلع + +155 +00:13:37,130 --> 00:13:39,650 +بتاعي هادي و هادي يبنغوا بعض فبرجع لنفسه و عمليه و + +156 +00:13:39,650 --> 00:13:42,630 +يبقى نفس القانون و هذا كلام دقيق .. هذه اللي حكينا + +157 +00:13:42,630 --> 00:13:48,210 +عند الشباب قالوا خلصت ال ..الشغلة بناره بنخليها + +158 +00:13:48,210 --> 00:13:52,510 +مخلصتش لإن القضية هو كان طالب جهد و خلاص لكن في + +159 +00:13:52,510 --> 00:13:56,290 +مجلد واحد في بعض الأسئلة في الكتاب هتشوفه بيقولك + +160 +00:13:56,290 --> 00:14:00,730 +حلها بواسطة Gauss's law تبع ال D و تبع ال E مقارنة + +161 +00:14:00,730 --> 00:14:10,130 +بينهم احكي ايه برا اه طلع هي ايه في أربعة باع ار + +162 +00:14:10,130 --> 00:14:16,680 +تربيع بالساوي واحد عالي أبسل نور هي Q زائدسيجما ن + +163 +00:14:16,680 --> 00:14:21,100 +في أربعة باية تربيع زائد سيجما out فبليه يجمع على + +164 +00:14:21,100 --> 00:14:25,040 +سيجما in؟ استني شوية، في أربعة باية بيتربيع، انت + +165 +00:14:25,040 --> 00:14:28,540 +بحاجة نتحدث عن هذا ولا لأ؟ أه جوا، سيجما هادي مش + +166 +00:14:28,540 --> 00:14:33,240 +موجودة، و هادي موجودة هذه ال sigma n أربعة باية + +167 +00:14:33,240 --> 00:14:37,740 +تربيع إيش بتساوي؟ بتساوي سالب ي نوت ke في capital + +168 +00:14:37,740 --> 00:14:43,920 +Q على ي، بظبط؟و هادي في أربع باعتربيع بساوي زايد + +169 +00:14:43,920 --> 00:14:48,460 +ابسلون نوت كاي اي capital Q على ابسلون اجمعوهم + +170 +00:14:48,460 --> 00:14:54,120 +روحوا تمام الشمال اللي روحوه مش ال sigma ال cues + +171 +00:14:54,120 --> 00:14:58,480 +ال cues اللي روحوه لأن ال sigma لأ لما ضربتهم في + +172 +00:14:58,480 --> 00:15:02,760 +ال area روحوه فهادي روحت مع هادي و بقى ال Q على + +173 +00:15:02,760 --> 00:15:05,700 +ابسلون نوت و ده المنطق هذا المنطق الأصلي اللي عملت + +174 +00:15:05,700 --> 00:15:11,810 +و أنا بمعنى آخر نرجعنا كل الطرقتؤدي لرقم الصحيحة + +175 +00:15:11,810 --> 00:15:19,310 +اخدت + +176 +00:15:19,310 --> 00:15:24,750 +ال epsilon عن مشرك تحت حطيته هناك انت بدك اول حاجة + +177 +00:15:24,750 --> 00:15:30,210 +فوق صح؟ اه اه طيب هاي هنا اجمعيهم + +178 +00:15:30,210 --> 00:15:36,670 +هدول وحدت المقام فصارت بدل .. هاي epsilon شوفينها؟ + +179 +00:15:36,670 --> 00:15:41,880 +epsilon ناقصحاجة الـ Epsilon هادى عبارة عن Epsilon + +180 +00:15:41,880 --> 00:15:44,560 +Note في Epsilon R فطلعت Epsilon Note عشان ضيع + +181 +00:15:44,560 --> 00:15:48,360 +الهان فصارت Epsilon R نقص Ki و Epsilon R بيسوي 1 + +182 +00:15:48,360 --> 00:15:53,800 +زي ال Ki اللى هى واحد هى اللى عملته غيرها ايه؟ ايه + +183 +00:15:53,800 --> 00:16:01,240 +ويه؟ احنا قلنا ان رو بى هسوي Zero احنا بنقول ان رو + +184 +00:16:01,240 --> 00:16:06,200 +بى عبارة عن شحنات خارج السطح المصطلح يكون احنا + +185 +00:16:06,200 --> 00:16:10,520 +عارفناهكيف خارج الصدر؟ خارج الصدر، جوا الحجم روبي + +186 +00:16:10,520 --> 00:16:14,220 +هي الشحنات جوا حجم المادة الـ dielectric هي جوا + +187 +00:16:14,220 --> 00:16:23,500 +الحجم براو قلنا هنا هاي روبي وهاي سيجما وهاي سيجما + +188 +00:16:23,500 --> 00:16:30,300 +وهاي سيجما روه هي جوا الحجم روه هي جوا حجم المادة + +189 +00:16:30,300 --> 00:16:36,140 +الـ dielectric غيرها أيه السفسار؟ + +190 +00:16:39,350 --> 00:16:43,490 +تمام هذا من الأسئلة الحلوة لأنه شامل كل حاجة وفي + +191 +00:16:43,490 --> 00:16:53,390 +أسئلة زيه في الكتاب فكده حابت أنا أتوسع فيه نحللنا + +192 +00:16:53,390 --> 00:16:59,020 +كمان مثال بيقول أبرر ال plate capacitoris filled + +193 +00:16:59,020 --> 00:17:02,920 +with insulating material of dielectric constants + +194 +00:17:02,920 --> 00:17:07,040 +εr discuss the effect of this dielectric on the + +195 +00:17:07,040 --> 00:17:11,800 +capacitor هاي نفس رسمة فيزيا با جيبتها وحتى ال + +196 +00:17:11,800 --> 00:17:14,520 +dielectric constant حطته كابة زي تبع فيزيا با تبع + +197 +00:17:14,520 --> 00:17:17,500 +هالي ديه هو هنا أيش بده يكون؟ بده كابة أيش بده + +198 +00:17:17,500 --> 00:17:26,940 +يصير؟ εر رمزنا يعني ايش مشكلة؟أيش بده؟ بيقول ي + +199 +00:17:26,940 --> 00:17:29,560 +discuss the effect of this dielectric on the + +200 +00:17:29,560 --> 00:17:35,920 +capacitor احنا أخدنا معلومة قلنا C بتساوي Kappa في + +201 +00:17:35,920 --> 00:17:42,240 +C Note يعني الـ dielectric بزول السعة، صح؟ هاي + +202 +00:17:42,240 --> 00:17:45,640 +المعلومة اللي أخدناها و شبهنا شوية لكن كانت تلاصم + +203 +00:17:45,640 --> 00:17:48,940 +زي أنا ذاك إيش اللي صار و ليش زادت و ليش ده ده؟ + +204 +00:17:48,940 --> 00:17:53,420 +الان بدنا نشوف إيش بده يصيرأحنا بدون الـ + +205 +00:17:53,420 --> 00:17:57,000 +dielectric بدون الـ dielectric إذا كنتوا ذاكرين + +206 +00:17:57,000 --> 00:18:00,100 +بُنّ إيه بدون الـ dielectric تساوي سِجْمَة على + +207 +00:18:00,100 --> 00:18:03,580 +إبسلون نوتر صح ولا لأ؟ طبعا اتجاهها من الأحمر + +208 +00:18:03,580 --> 00:18:07,640 +للأزرق من الـ positive للـ negative خلّينا الآن في + +209 +00:18:07,640 --> 00:18:11,360 +dielectric بدي أجيب إيه باستخدام قانون Gauss + +210 +00:18:11,360 --> 00:18:16,500 +-Liegit D.DS بسوء Q enclosed على إبسلون نوتر + +211 +00:18:24,500 --> 00:18:28,500 +isn't applying Gauss's law to the Gaussian surface + +212 +00:18:28,500 --> 00:18:33,380 +هاي بيدخل سطح Gauss خدت سطح Gauss طيب سطح Gauss + +213 +00:18:33,380 --> 00:18:37,400 +عبارة عن إيش؟ سطوانة قولنا عارفين أن هذه plate أنا + +214 +00:18:37,400 --> 00:18:40,720 +بعتبرها من النهاية لأنه أنا جريب عنها لأن المسافة + +215 +00:18:40,720 --> 00:18:43,340 +في الكابستر بعتبرها صغيرة هذه معلومة أخدناها من + +216 +00:18:43,340 --> 00:18:51,040 +زمان الكابستر كام سطح له؟ السطوانة السطوانة إيها + +217 +00:18:51,040 --> 00:18:56,850 +تلات؟ أسطحالأصل القانون تبعي اول اكتب القانون + +218 +00:18:56,850 --> 00:19:04,230 +القانون تبعي هذا هو هذا التكامل عبارة عن D Dot DS + +219 +00:19:04,230 --> 00:19:13,310 +ال Upper زائد قانون D Dot DS ال Lower زائد D Dot S + +220 +00:19:13,310 --> 00:19:20,880 +ال Cured بيستوى Q3 Enclosed بشيك بصيرأحنا دايما في + +221 +00:19:20,880 --> 00:19:23,900 +سطح جاس لما يكون استوانة بنعمل ثلاث استوانات، تلات + +222 +00:19:23,900 --> 00:19:30,960 +تكملات، sorry طيب، هد شاف المجال كيف اتجاهه؟ شفاه؟ + +223 +00:19:30,960 --> 00:19:34,400 +طيب ال curved كيف اتجاه ال surface تبعه؟ ال area؟ + +224 +00:19:34,400 --> 00:19:43,420 +ال curved، هذا اللي .. بأي اتجاه؟ طيب إيش .. و هذا + +225 +00:19:43,420 --> 00:19:47,770 +بالتجاه الذنب؟مظبوط؟ الـ E باتجاه الـ Z و هذا + +226 +00:19:47,770 --> 00:19:51,570 +باتجاه الـ R كده تزاوى بين الـ Z و الـ R؟ تسعين + +227 +00:19:51,570 --> 00:19:56,990 +كسان تسعين الله يسهل عليك هو ده قال اتروح عشان + +228 +00:19:56,990 --> 00:20:01,210 +يتزاوى بينهم تسعين perpendicular to each other صح + +229 +00:20:01,210 --> 00:20:08,350 +ولا لأ؟ طيب ال upper surface شايفة وين موجود؟ ال + +230 +00:20:08,350 --> 00:20:11,810 +upper surface وين موجود ال upper surface؟ + +231 +00:20:14,400 --> 00:20:21,060 +وين موجود؟ جوا الحمار شو هذا؟ هذا الـcapacitor، + +232 +00:20:21,060 --> 00:20:25,560 +الcapacitor ماشي بتاية بتتكوّن بلات و بلات، إيش + +233 +00:20:25,560 --> 00:20:28,060 +مالهم لازم ال blades دول يكونوا؟ مش conductor و + +234 +00:20:28,060 --> 00:20:31,940 +conductor؟ و بينهم مادة عازلة؟ إذا الحمار هذا + +235 +00:20:31,940 --> 00:20:35,920 +conductor هل جيتك ال blades الفجانية جوا الحمار؟ + +236 +00:20:35,920 --> 00:20:41,690 +جوا ال conductor؟ في مجال جوا ال conductor؟عشان + +237 +00:20:41,690 --> 00:20:44,470 +فيه عازل؟ جوا الكون في الدك مش عشان فيها عازل جديش + +238 +00:20:44,470 --> 00:20:53,170 +المجال دي خلق ال conductor إذا هذا سفر ليه + +239 +00:20:53,170 --> 00:20:58,230 +السفر؟ لإن دي السفر لإن جوا ال conductor دلش اللي + +240 +00:20:58,230 --> 00:21:03,590 +هادي هال gate هادي كيف اتجاه ال DS تبعد تلأ أسفل + +241 +00:21:03,590 --> 00:21:08,470 +وهدي لأسفل يزوي بينهم zero وقصان ال zero one فصرت + +242 +00:21:08,470 --> 00:21:16,330 +ديS بتساوي Q free and closed كاللي انسى هنا إيه + +243 +00:21:16,330 --> 00:21:18,790 +الصرف ليش عندك شحنات بدي الـ Free بقول الـ Free + +244 +00:21:18,790 --> 00:21:23,650 +هدو هدي مظبوط ولا لأ؟ بدك هدي ها بدك كل الشحنات + +245 +00:21:23,650 --> 00:21:28,550 +ولا جزء؟ جزء بس بيساوي سيجما في الـ S نفس الـ S + +246 +00:21:28,550 --> 00:21:34,370 +تبعته أيوان هالـ S تبعتك أيضا صحيك؟ جمهورنا مش + +247 +00:21:34,370 --> 00:21:37,930 +عاجبها لا عشان سفن مش بالعلاوة مش بالأعظم الحكاية + +248 +00:21:42,430 --> 00:21:48,270 +على قرمحي نفس داعة القفل مظبوط هيك؟ تمام جدش دي + +249 +00:21:48,270 --> 00:21:53,810 +طلعت sigma ذاكرين لما قلتلكم دي و sigma يا خوات دي + +250 +00:21:53,810 --> 00:21:59,550 +وحدتها وحدة sigma هي دي طلعت sigma كلها معالمات + +251 +00:21:59,550 --> 00:22:02,290 +التربية زمان حكيته الكلام طبعا لما قلت زمان يعني + +252 +00:22:02,290 --> 00:22:05,010 +المحاضرة الماضية اه يعني يوم الأربعة او يوم + +253 +00:22:05,010 --> 00:22:10,620 +التانية المهم طلعنا ديnoting that D is + +254 +00:22:10,620 --> 00:22:13,240 +perpendicular to the curved surface زي ما حكت + +255 +00:22:13,240 --> 00:22:16,560 +قولها D is perpendicular to the curved surface + +256 +00:22:16,560 --> 00:22:20,020 +while it is zero for the upper case زي ما حكيتي + +257 +00:22:20,020 --> 00:22:24,100 +عشان مافيشي عندي D بتساوي zero جوا ال conductor + +258 +00:22:24,100 --> 00:22:28,260 +and it is constant over the lower base و ال lower + +259 +00:22:28,260 --> 00:22:33,940 +base طلعتها سجمة في A أنا سحطيت و هتتبعها طبعا + +260 +00:22:33,940 --> 00:22:38,380 +السالب هتيجي عشان direction مش أكتر سالب K هي ال D + +261 +00:22:40,280 --> 00:22:45,920 +تبدي E إيه؟ ما أنت عندك قانون بيقول D بنسوّي + +262 +00:22:45,920 --> 00:22:49,680 +الـEpsilon في E وهذه عبارة عن Epsilon R في Epsilon + +263 +00:22:49,680 --> 00:22:53,140 +Note صح ولا لأ؟ وهذه المادة Epsilon R تبعتها تداتك + +264 +00:22:53,140 --> 00:23:01,400 +إياها إذا بقدر أجيب E ولا لأ؟ جيبت E هاي E على + +265 +00:23:01,400 --> 00:23:05,100 +Epsilon بدون + +266 +00:23:05,100 --> 00:23:09,110 +ضايق إلكترا كوينها هايهاهذه بدون الـ Dialectic + +267 +00:23:09,110 --> 00:23:13,990 +زمان جبت بتاع بالـ Dialectic إيش بتفرق؟ بدي الـY + +268 +00:23:13,990 --> 00:23:19,110 +نوت إيش حطيت؟ من أكبر؟ Y ولا Y نوت؟ طيب، من أقل + +269 +00:23:19,110 --> 00:23:34,450 +إذن؟ دي الجديد ولا دي القديمة؟ مش + +270 +00:23:34,450 --> 00:23:41,400 +هذه أكبر؟ إذن هذه؟أقل إذا المجال في الـ die + +271 +00:23:41,400 --> 00:23:46,080 +electric جال عن أول ولا زاد؟ جال ما زال جال للمجال + +272 +00:23:46,080 --> 00:23:52,640 +و أنا عندي قانون بيقول V بيساوي E في D هذا جال، + +273 +00:23:52,640 --> 00:23:58,320 +إيه الصرف في هذا؟ جال؟ طب و السعة بيساوي Q على V + +274 +00:23:58,320 --> 00:24:02,460 +هذا جال، إيه الصرف في هذه؟ زادت زي ما كنا بنقول + +275 +00:24:02,460 --> 00:24:10,460 +إذا معناته ال die electricنقص المجال وبالتالي نقص + +276 +00:24:10,460 --> 00:24:14,940 +الجهد وبالتالي زاد الشحنة طب عاوز أقولك كيف نقص؟ + +277 +00:24:14,940 --> 00:24:17,760 +بقوله مش أنت بتقول هذه positive وهذه negative هذه + +278 +00:24:17,760 --> 00:24:21,160 +بيصيحها polarization حصيلا عندك sigma هنا و sigma + +279 +00:24:21,160 --> 00:24:28,900 +هنا صح؟ هذه sigma بيه وهذه sigma بيه المجال لجديد + +280 +00:24:28,900 --> 00:24:34,590 +مش المفروض يكون من مجلة للسالب هذه إيه شرطة؟إذا + +281 +00:24:34,590 --> 00:24:37,510 +انت المجال الكل اللي قاعد بتجيبه هو هذا نقص هذا + +282 +00:24:37,510 --> 00:24:43,010 +هذا نقص هذا إذا جال ولا زاد؟ جال لأنك انت بتطرح + +283 +00:24:43,010 --> 00:24:47,450 +قاعد هذا نقص هذا هدول ليش سارسالي بقى؟ هدول الـ + +284 +00:24:47,450 --> 00:24:51,810 +Sigma P و Sigma B بدي أجيبهم كيف أجيبهم؟ زي ما + +285 +00:24:51,810 --> 00:24:57,190 +توجبته في الكورة بدي أشوف أه .. هذه الجطعة الخضراء + +286 +00:24:57,190 --> 00:25:00,850 +كم سطح لها؟ + +287 +00:25:00,850 --> 00:25:10,300 +اللي هم ..فوق و تحت طب و جوانب؟ هم بهاد لكن فيما + +288 +00:25:10,300 --> 00:25:15,740 +لو كانوا موجودين يا غدير كيف العمودي عليهم؟ تسعين + +289 +00:25:15,740 --> 00:25:18,960 +مع الـE و مع الـPolarization فبالتالي بتجمعش حتى + +290 +00:25:18,960 --> 00:25:22,280 +لو كانوا موجودين هو أنا مش شايفهم نظري، مظبوط؟ لكن + +291 +00:25:22,280 --> 00:25:25,500 +حتى لو بدي أقول هذا capacitor و أنا شايفه فيه تورا + +292 +00:25:25,500 --> 00:25:30,160 +هناك شحنات فيش، تمام بقول + +293 +00:25:30,160 --> 00:25:38,310 +لي since إبسلون، أحكياحكي بعيد ايه؟ احكي و بدأ + +294 +00:25:38,310 --> 00:25:41,670 +تمام + +295 +00:25:41,670 --> 00:25:45,050 +إذا كانت السؤال بسيطة فكرت بيقول سليك هس عليك + +296 +00:25:45,050 --> 00:25:51,620 +المعلومة برجع فيهاتمام، since إبسلون أكبر من + +297 +00:25:51,620 --> 00:25:54,320 +إبسلون نوت، the electric field inside the + +298 +00:25:54,320 --> 00:25:56,540 +capacitor decreases، هذا الكلام قبل طول حكيته، بس + +299 +00:25:56,540 --> 00:26:00,440 +بقرأه، when the dielectric is inserted between its + +300 +00:26:00,440 --> 00:26:02,900 +conductors, so the potential difference will also + +301 +00:26:02,900 --> 00:26:06,000 +be decreased, the capacitance will increases by a + +302 +00:26:06,000 --> 00:26:11,340 +factor of إبسلون أع، تمام، الآن بدي أجيب الـSigmas + +303 +00:26:11,340 --> 00:26:16,700 +هدولبقول الـ polarization اعتبار انها linear الـ + +304 +00:26:16,700 --> 00:26:19,340 +polarization هي بيساوي ابسل نوت كاي E في ال E ال E + +305 +00:26:19,340 --> 00:26:25,920 +بيساوي سالب سيجما في K على E جبناها تمام هاي ال + +306 +00:26:25,920 --> 00:26:30,400 +polarization اتطلعوا على ال polarization تعتمد على + +307 +00:26:30,400 --> 00:26:35,020 +X أو Y أو Z أو R أو ثيتا أو حاجة ال polarization + +308 +00:26:35,020 --> 00:26:42,070 +ثابتةإذا المعناته الدل إن هي الدل وين هي روه، + +309 +00:26:42,070 --> 00:26:48,310 +الروه هذه وينها؟ لو كانت موجودة هنا، جوا المادة، + +310 +00:26:48,310 --> 00:26:54,560 +جوا حجم المادةطبعا إذا انت بدك تعمليها إذا موجودة + +311 +00:26:54,560 --> 00:26:59,180 +عشان كده لكن الآن جديد صلت معايا ال raw معناته هنا + +312 +00:26:59,180 --> 00:27:02,940 +فيش raw بس هنا فيه و هنا فيه ال negative و ال + +313 +00:27:02,940 --> 00:27:09,760 +positive هدول نيجي ال normal تبع حد كيف اتجاهه؟ اه + +314 +00:27:09,760 --> 00:27:18,100 +لأعلى K وهذا لأسفل سالب K هو ده من تبعه و الله + +315 +00:27:18,100 --> 00:27:18,460 +ضعتي + +316 +00:27:22,910 --> 00:27:26,950 +مش قدرت أقولها لأ لأ ضاعتش طيب نص نص يعني البيض + +317 +00:27:26,950 --> 00:27:34,030 +الوجه تطلع تمام أنا الآن بدي أقول يا بنات هو إيش + +318 +00:27:34,030 --> 00:27:38,290 +المادة كلش تبترش بيقول بيقول إن المادة اللي مش + +319 +00:27:38,290 --> 00:27:43,270 +conductor أو مش الفراغ بصيرها polarization إيش + +320 +00:27:43,270 --> 00:27:47,250 +يعني ال polarization يعني الديبولات تبعتها بتترتب + +321 +00:27:47,250 --> 00:27:53,920 +مظبوط ولا لأ؟كيف ما زالت ركّبت معناته صار في عندك + +322 +00:27:53,920 --> 00:27:59,000 +هيك ترتيبهمبوزيتف نيجاتف بوزيتف نيجاتف بوزيتف + +323 +00:27:59,000 --> 00:28:01,580 +نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف + +324 +00:28:01,580 --> 00:28:03,160 +بوزيتف نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف بوزيتف + +325 +00:28:03,160 --> 00:28:06,100 +نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف + +326 +00:28:06,100 --> 00:28:08,400 +بوزيتف نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف بوزيتف + +327 +00:28:08,400 --> 00:28:09,880 +نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف بوزيتف نيجاتف + +328 +00:28:09,880 --> 00:28:19,740 +بوزيتف نيجاتف بوزيتف + +329 +00:28:19,740 --> 00:28:23,930 +نيجاتف بوزيتالشي اللي ايه؟ الـ Normal على الـ + +330 +00:28:23,930 --> 00:28:26,990 +Surface اللي بدك تجيبه، أنا الـ Surface عندي هيه، + +331 +00:28:26,990 --> 00:28:30,150 +هل الـ Normal تبقى اللي فوق، و هل الـ Normal تبقى + +332 +00:28:30,150 --> 00:28:35,750 +اللي تحت؟ الفجانية K والتحتانية سالب K، مظبوط ولا + +333 +00:28:35,750 --> 00:28:40,810 +لأ؟ فلمّا قاعدي أعملت أنا، + +334 +00:28:40,810 --> 00:28:44,470 +قلنا الـRow طلعت Zero لأنه لا تعتمد ولا على + +335 +00:28:46,200 --> 00:28:48,560 +Dimensional لعلى إيه؟ طبعا لو بدي أجيب Cartesian + +336 +00:28:48,560 --> 00:28:51,720 +Coordinates X Y و Z لا تعتمدش على X Y Z لأن في + +337 +00:28:51,720 --> 00:28:55,120 +نهاية دل ضط partial على partial X partial على + +338 +00:28:55,120 --> 00:28:58,940 +partial Y partial على partial Z هيها لا تعتمدش على + +339 +00:28:58,940 --> 00:29:06,680 +X ولا Y ولا Z نجي ال P ضط ال N بقول هذه ضط ال K لل + +340 +00:29:06,680 --> 00:29:13,380 +Upper و ضط السلب K لل Lower فطلعت ال Upper سلبة + +341 +00:29:14,190 --> 00:29:17,490 +واللور موجبة ما هو دي شخصية منطقية ده هي لسه هي + +342 +00:29:17,490 --> 00:29:22,730 +معتوطة ال upper تنية سلبة والتحت تنية موجبة بظبط + +343 +00:29:22,730 --> 00:29:28,770 +ولا لأ طيب لو المادة الخضراء كانت conductor هيها + +344 +00:29:28,770 --> 00:29:32,870 +وهيها كانت هذه موجبة وكانت هذه سلبة وهذه المادة ال + +345 +00:29:32,870 --> 00:29:38,410 +insulator اللي حاطيتها بس انا افل اتفرغ conductor + +346 +00:29:42,030 --> 00:29:47,130 +ماذا تتوقع أن يحصل؟ لو هذه سيجما هذه لازم تكون + +347 +00:29:47,130 --> 00:29:52,410 +ثالث سيجما وهذه صح + +348 +00:29:52,410 --> 00:29:56,490 +هي الاصل لو كانت conductor وقت إيش هذه ستصبح + +349 +00:29:56,490 --> 00:30:01,990 +conductor؟ لما كاي ذهب إلى ملا نهاية لما كاي ذهب + +350 +00:30:01,990 --> 00:30:05,110 +إلى ملا نهاية من أين بدى يجيب كاي هذه؟ عبارة عن + +351 +00:30:05,110 --> 00:30:11,260 +ابسلون نوت في واحد زاد كاي اللي هي ابسلون ار1 زاد + +352 +00:30:11,260 --> 00:30:15,640 +كاي مع كاي بضيعوا بعض و هادي مع إبهادي بضيعوا بعض + +353 +00:30:15,640 --> 00:30:19,660 +بصيغة عين السالب سيجما و سيجما زي ما أنا ولد من + +354 +00:30:19,660 --> 00:30:29,840 +الأول هدا + +355 +00:30:29,840 --> 00:30:34,720 +مثال آخر كيف أطبق قانون gas و أتعامل مع ال + +356 +00:30:34,720 --> 00:30:37,740 +dielectric بكل تفاصيله إيش بيسوي في ال capacitor + +357 +00:30:37,740 --> 00:30:46,280 +وهو أشهر حاجةتم ادى كوندكتر + +358 +00:30:46,280 --> 00:30:49,540 +انسليتر + +359 +00:30:49,540 --> 00:30:54,500 +و الو ابسلون ار عشان هيك احنا قولنا انه سيجما كانت + +360 +00:30:54,500 --> 00:30:58,780 +على السطح نفس الموجة بقى و مش هتسيب السالبة اللى + +361 +00:30:58,780 --> 00:31:03,860 +تحتها سالبة بس مش نفسها مش نفس السيجما لانه طلع هى + +362 +00:31:03,860 --> 00:31:05,040 +هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى + +363 +00:31:05,040 --> 00:31:05,960 +هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى + +364 +00:31:05,960 --> 00:31:05,980 +هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى هى + +365 +00:31:05,980 --> 00:31:07,010 +هى هى هى هى هى هى هى هى هى هى هى هى هى هولّا حاجة + +366 +00:31:07,010 --> 00:31:10,810 +في sigma بتسوي الـ sigma وقتيش هذه بتسوي sigma + +367 +00:31:10,810 --> 00:31:13,990 +exactly لما يكون المادة conductor و لا ال + +368 +00:31:13,990 --> 00:31:18,170 +conductor epsilon R أو كايكوسترما لنهاية هذه + +369 +00:31:18,170 --> 00:31:25,930 +المعلومة المحتوقة أي + +370 +00:31:25,930 --> 00:31:26,750 +استفسار آخر؟ + +371 +00:31:45,510 --> 00:31:50,350 +تمام الآن الـ boundary value problems with linear + +372 +00:31:50,350 --> 00:31:55,950 +dielectric احنا عندنا القانون تربيع الـ V بتساوي + +373 +00:31:55,950 --> 00:32:01,490 +Zero هذه معادلة مين؟ هذه معادلة لابلاس حلناها بالـ + +374 +00:32:01,490 --> 00:32:03,290 +Cartesian Coordinates وحلناها بالـ Spherical + +375 +00:32:03,290 --> 00:32:06,870 +Coordinates بالـ Spherical Coordinates قد عندي الـ + +376 +00:32:06,870 --> 00:32:11,510 +Legendarوقلنا عشان تحلها بتطلع ثوابت عشان تطلع + +377 +00:32:11,510 --> 00:32:16,210 +ثوابت بتبقى boundary value conditions عشان تعملها + +378 +00:32:16,210 --> 00:32:21,570 +اذاكر ال boundary condition جالي E1n-E2n بتساوي + +379 +00:32:21,570 --> 00:32:29,490 +sigma على x0 وE1t بيساوي E2t وV1 بيساوي V2 هدول ال + +380 +00:32:29,490 --> 00:32:32,950 +boundary conditions اللي استخدمته بدي اشوف اول هذه + +381 +00:32:32,950 --> 00:32:36,730 +المعادلة ده سري المفقول ولا مش سري المفقولوإذا كان + +382 +00:32:36,730 --> 00:32:40,670 +المفروض بدي أحلها بدي هدول دالهم لما هما ولا ممكن + +383 +00:32:40,670 --> 00:32:45,150 +أغير فيهمإذاً هذا موضوعي الآن الـBoundary Value + +384 +00:32:45,150 --> 00:32:48,310 +Problems يعني شبطة تلاتة بتدقق دي عشان تشغلهم أشوف + +385 +00:32:48,310 --> 00:32:51,990 +إيش بده تصير تعديل عليه Gauss's law عدلنا عليه بدل + +386 +00:32:51,990 --> 00:32:56,230 +E حطيت D وبدل Q enclosed قلت Q enclosed free بدون + +387 +00:32:56,230 --> 00:32:59,730 +Y0 تمام قال هي المعلومة اللي احنا عندنا ان ال + +388 +00:32:59,730 --> 00:33:02,910 +polarization for homogeneous linear dielectric we + +389 +00:33:02,910 --> 00:33:06,810 +have ال polarization related linearly with the + +390 +00:33:06,810 --> 00:33:12,980 +electric field as P equal Y0 chi E في ال Eto find + +391 +00:33:12,980 --> 00:33:15,940 +the relation between the free charges and the + +392 +00:33:15,940 --> 00:33:20,100 +bounded charges we have بدي انا اربط علاقة ما بين + +393 +00:33:20,100 --> 00:33:23,140 +ال free charge و ال bounded charge نشوف العلاقة + +394 +00:33:23,140 --> 00:33:29,120 +جديش هتفيدنا بقولي انا بعرف رو بي بسوى سالب دلت ضد + +395 +00:33:29,120 --> 00:33:33,800 +ال بي تمام؟ لو كانت ال بي يعني four تطلع zero ال + +396 +00:33:33,800 --> 00:33:40,520 +بي هدا اللي عوض عنها عوضت عنها تمام؟ هذهأنا بعرف + +397 +00:33:40,520 --> 00:33:44,640 +انه بتدخل الـ D هالـ gate الـ D علاقتها بالـ E + +398 +00:33:44,640 --> 00:33:48,880 +إبسلون فيه إذا جملي الـ E هذه وخط محلها D على + +399 +00:33:48,880 --> 00:33:56,100 +إبسلون ثم حطينا سردل Dot إبسلون Note وهي Ki وهي + +400 +00:33:56,100 --> 00:34:05,140 +إبسلون وهي D هذي Raw Bound ناقص D Dot شغل معينة بس + +401 +00:34:05,140 --> 00:34:10,960 +أنا بعرفدل ضد الـD بتسوي row free وهذا جوز الـLaw + +402 +00:34:10,960 --> 00:34:16,300 +هذا الـDifferential Form of جوز الـLaw تمام دل ضد + +403 +00:34:16,300 --> 00:34:21,200 +الـD وهذه row bound وهذه row free بقدر أقول ان دل + +404 +00:34:21,200 --> 00:34:25,660 +ضد الـD إذا معناته row bound هناك بتعملها row free + +405 +00:34:25,660 --> 00:34:28,340 +معناته الـrow bound و الـrow free بتعملهم relation + +406 +00:34:28,340 --> 00:34:34,240 +بهذه العلاقة صلة الرو بيبتساوي كاي هذه طبعا بس + +407 +00:34:34,240 --> 00:34:37,800 +عشان نعرف كيفية هذه عبارة عن ابسلون نوت في ابسلون + +408 +00:34:37,800 --> 00:34:41,960 +ار بظبط فابسلون نوت مع ابسلون نوت بتروح في الصين + +409 +00:34:41,960 --> 00:34:46,500 +كاي اي على ابسلون ار رو فري إذا ال raw bound طلعت + +410 +00:34:46,500 --> 00:34:50,960 +بهذه الكيفية إيش يعني انتقل هنا بيقول ليه؟ بيقول + +411 +00:34:50,960 --> 00:34:57,540 +لي إذا ال raw free سفر، جدش ال raw bound؟ سفر يعني + +412 +00:34:57,540 --> 00:35:02,970 +بيقول لي أنتمش هتتوقع تلاقي رو باوند و هى كل اللى + +413 +00:35:02,970 --> 00:35:06,010 +جاعدين بالحلم مالجيناش رو باوند و المكان كانت Zero + +414 +00:35:06,010 --> 00:35:10,550 +مش هتتوقع تلاقي رو باوند طول ما هو U و المادة فش + +415 +00:35:10,550 --> 00:35:13,530 +رو فرى فش رو فرى + +416 +00:35:24,400 --> 00:35:28,780 +الشحنات تعمل بولاريزيش وبتعمل بولاريزيش بس يكونوا + +417 +00:35:28,780 --> 00:35:37,520 +على الأسطح مافيش عندك رو نرجع الدل ضد ال D بتساوي + +418 +00:35:37,520 --> 00:35:39,780 +رو فري رو فري + +419 +00:35:43,440 --> 00:35:49,500 +بادلة دي حطيت ابسلون اي امي دل ضد الاي بيسوي رو + +420 +00:35:49,500 --> 00:35:54,560 +فري على ابسلون ايش علاقة الاي بالجهود اي بيسوي + +421 +00:35:54,560 --> 00:36:01,430 +سالب دل الفي اذا نبدي الها دي حط سالب دل الفيدل ضد + +422 +00:36:01,430 --> 00:36:05,350 +الدل صارت دل تربيع رجعنا لبص هون equation فصار + +423 +00:36:05,350 --> 00:36:10,590 +عندى دل تربيع ال V بسو سلب row 3 على إبسلون روه + +424 +00:36:10,590 --> 00:36:15,130 +فري على إبسلون حلو إيش بقولك هدى بوص هون لو row 3 + +425 +00:36:15,130 --> 00:36:20,660 +صفر معناته رجعنا ل classلو روح free صفر معناته في + +426 +00:36:20,660 --> 00:36:25,060 +منطقة ما معناته احنا رجعنا للبلاس على طول اذا + +427 +00:36:25,060 --> 00:36:27,920 +بيقول لي if the free charge is zero in a region of + +428 +00:36:27,920 --> 00:36:31,440 +dielectric then for such a dielectric لبلاس + +429 +00:36:31,440 --> 00:36:36,900 +equation is still hold اذا معناته دل تربيع ال V + +430 +00:36:36,900 --> 00:36:43,040 +بتساوي Zero معاجلة لبلاس ما زالت صحيحة في ال + +431 +00:36:43,040 --> 00:36:48,840 +dielectricو ممكن انت تجيب الجهود منها بس بدك تغيّر + +432 +00:36:48,840 --> 00:36:54,340 +شوية في الـ Boundary Conditions خلّيني أتذكر هدول + +433 +00:36:54,340 --> 00:36:58,960 +من أين جبتهم أنا هدول؟ مين يذكرني شبط الأثنين من + +434 +00:36:58,960 --> 00:37:04,260 +أين جبتهم؟ هو كيف جبت الـ Boundary؟ من إيش؟ لما + +435 +00:37:04,260 --> 00:37:08,040 +جبت منطقة واحدة و قلت Region 1 و Region 2، إيش + +436 +00:37:08,040 --> 00:37:14,730 +رسمت هنا؟ إذا إيش طبقت؟ قانون Gaussطبقت قانون جاوس + +437 +00:37:14,730 --> 00:37:19,450 +طب جاوس اتغير ولا دلو زي ما هو غيرناه صار دي بدل + +438 +00:37:19,450 --> 00:37:26,470 +ايه بدل ايه صار دي اذا معناته لو اجيت انا طبقت هام + +439 +00:37:26,470 --> 00:37:33,130 +قانون جاوس اللي هو التكامل المغلق دي dot دي اس + +440 +00:37:33,130 --> 00:37:38,030 +بساوي Q free enclosed هاي القانون جاوس اللي اجيت + +441 +00:37:38,030 --> 00:37:42,490 +صح ولا لا انا كم سطح للاسطوانة تلاتة + +442 +00:37:44,370 --> 00:37:49,110 +هذا بدي اعتبره سفر عشان انه very small عشان انه + +443 +00:37:49,110 --> 00:37:56,310 +جاية جانب السطح اذا هذا روح دل عندي دي واحد dot in + +444 +00:37:56,310 --> 00:38:00,110 +upper ذات + +445 +00:38:00,110 --> 00:38:04,810 +دي اتنين dot in ال lower هاي ال upper وهاي ال + +446 +00:38:04,810 --> 00:38:10,910 +lower صح ولا لأ؟ حلو طبعا هنا مافيش command S + +447 +00:38:10,910 --> 00:38:13,230 +بتساوي + +448 +00:38:13,950 --> 00:38:20,210 +هذه سيجما في S إيش + +449 +00:38:20,210 --> 00:38:25,230 +علاقة الان قبر مع الان لور؟ هل هما عكس بعض ولا لا؟ + +450 +00:38:25,230 --> 00:38:33,350 +عكس الاشي وبتساوي إذا دي واحد ناقص دي اتنين ناقص + +451 +00:38:33,350 --> 00:38:41,270 +ان دي S بساوي سيجما S أنا بذكر بعيد شطر اتنين + +452 +00:38:42,140 --> 00:38:48,520 +الشغلة dot الـ I ايه dot ال I يا هدا؟ عشان انا صح + +453 +00:38:48,520 --> 00:38:54,460 +صحيك اه + +454 +00:38:54,460 --> 00:39:01,780 +اتذكرتيها ax طيب دي dot ال N دي + +455 +00:39:01,780 --> 00:39:06,620 +N اذا ها دي dot ال N dot ال N صح دي واحد N مخص دي + +456 +00:39:06,620 --> 00:39:13,350 +اتنين N و Sigma مع حد راحت بيصير Sigmaأذا الـ + +457 +00:39:13,350 --> 00:39:18,090 +Poundar Condition هذا اتغير هذا أتي من قانون جاوس + +458 +00:39:18,090 --> 00:39:26,030 +بطل صار المفعول صار D1N-D2N بتساوي Epsilon 3 Sigma + +459 +00:39:26,030 --> 00:39:32,630 +إذا معناته الكلام اللي صار معايا أنا بيقولي from + +460 +00:39:32,630 --> 00:39:35,690 +equation 14 اللي هو قانون جاوس اللي بتحكي عنه صار + +461 +00:39:35,690 --> 00:39:42,380 +عندي D1N-D2N بتساوي Sigma 3سيجما free مافي شي + +462 +00:39:42,380 --> 00:39:47,860 +سيجما و free انا قللي دعوة في ال free تمام and + +463 +00:39:47,860 --> 00:39:53,120 +from equation 15 اللي هي اللي هي actually equation + +464 +00:39:53,120 --> 00:40:02,500 +15 دي بسوء ابسلون نوت في E ذائد B مرت + +465 +00:40:02,500 --> 00:40:07,720 +عليكم معادلة زيها دي؟ يلا نعمل carry لها carry دي + +466 +00:40:07,720 --> 00:40:18,130 +بسوء ابسلون نوتكيرل E دا كيرل P جمعنا كيرل E جداش + +467 +00:40:18,130 --> 00:40:24,230 +دائما Zero إذا هذا بيروح المعادلة اللي كتبتها + +468 +00:40:24,230 --> 00:40:30,700 +عرفتوا كيفي جت دل كروس ال D بيسوي دل كروس ال Eتمام + +469 +00:40:30,700 --> 00:40:34,880 +والهدى اللى حكيناها ان ال care تبعها مش بضروره + +470 +00:40:34,880 --> 00:40:38,080 +يكون zero لأنه مراتى ال prioritization ال care + +471 +00:40:38,080 --> 00:40:42,980 +تبعها بيكونش zero اذا بيقوللي ال care of D is not + +472 +00:40:42,980 --> 00:40:46,800 +necessary vanish like the care of E ال care of E + +473 +00:40:46,800 --> 00:40:52,470 +دائما vanished so we still have لكن بيقولليالـ + +474 +00:40:52,470 --> 00:40:56,370 +Tangential Component الـ Tangential Component يعني + +475 +00:40:56,370 --> 00:41:00,210 +أنا ماقدرش أقول دي واحد T بيساوي دي اتنين T لأن + +476 +00:41:00,210 --> 00:41:04,570 +هذه من وين إجت؟ هذه إجت من العلاقة تكامل الإي dot + +477 +00:41:04,570 --> 00:41:10,630 +الدي ال بيساوي سفر، صح؟ وهذه ماقدرتش أكتبها إلا + +478 +00:41:10,630 --> 00:41:14,270 +بعد مجلة دي اللي cross الإي بيساوي Zero هل دي اللي + +479 +00:41:14,270 --> 00:41:19,370 +cross الدي Zero؟ لأ، إذا ماقدرش أقول دي بدل الإي، + +480 +00:41:19,370 --> 00:41:25,420 +بقول الإي خليها زي ما هيإذن هذه دلّا زي ما هي لأن + +481 +00:41:25,420 --> 00:41:30,100 +ال care تبع ال E هو السفر لكن ال care تبع ال D not + +482 +00:41:30,100 --> 00:41:36,300 +zero تمام طيب طب هو إيش بيجي أسوي بالنسبة ل ال + +483 +00:41:36,300 --> 00:41:40,340 +congenital component of D؟ قال لي ولا حاجة هذه ال + +484 +00:41:40,340 --> 00:41:47,480 +E بالنسبة equation 13 قال لي هي ال DD بيساوي E نوت + +485 +00:41:47,480 --> 00:41:50,360 +E زائد B، مظبوط ولا لأ؟ جيبلي الـ tangential + +486 +00:41:50,360 --> 00:41:52,700 +component تبعت هذه و ال tangential component تبعت + +487 +00:41:52,700 --> 00:41:54,720 +هذه و ال tangential component تبعت هذه فإذا أحنا + +488 +00:41:54,720 --> 00:41:57,460 +في أي vector بيقول المراكبة الصينية هنا بيساوي + +489 +00:41:57,460 --> 00:42:00,020 +المراكبة الصينية هنا المراكبة الصادية هنا بيساوي + +490 +00:42:00,020 --> 00:42:02,280 +المراكبة الصادية هنا بيدي المراكبة الصينية + +491 +00:42:02,280 --> 00:42:09,140 +المماسية تبعت هذه المعادلة بقى بقدر أقول DT بيساوي + +492 +00:42:09,140 --> 00:42:16,570 +E نوت E T زائد BT بقدر أقول هيك، صح؟تمام هارجاتي + +493 +00:42:16,570 --> 00:42:23,290 +one one one دي اتنين tangential بتساوي ابسل نوت + +494 +00:42:23,290 --> 00:42:28,210 +اتنين tangential زائد بي اتنين tangential حلو + +495 +00:42:28,210 --> 00:42:35,650 +اطلحلي هذا من هذه بقول دي واحد T مخص دي اتنين T + +496 +00:42:35,650 --> 00:42:38,190 +بتساوي لما اطلح حد من هذه اش بصير + +497 +00:42:43,920 --> 00:42:50,000 +0 إذا إيش بيبقى عندي بي واحد تي نقص بيتنين تي إذا + +498 +00:42:50,000 --> 00:42:59,020 +بدك ال component of D بيعتمدوا على ال P بيعتمدوا + +499 +00:42:59,020 --> 00:43:05,640 +على ال P برضه هذه المعادلة عملها فدي واحد تي نقص + +500 +00:43:05,640 --> 00:43:09,800 +بيتنين تي بيستوي بيواحد تي نقص بيتنين تي و طبعا + +501 +00:43:09,800 --> 00:43:16,340 +هذهعلى طول اللي هي ساعة المفعول بتجيب هذه على طول + +502 +00:43:16,340 --> 00:43:21,440 +اذا فقط في condition واحد يتغير اللي هو الأولاني + +503 +00:43:21,440 --> 00:43:33,180 +بدل من اقول E1N-E2N انا اقول D1N-D8 المثال + +504 +00:43:33,180 --> 00:43:37,030 +اللي مش هحلله اليومطلعوا المثال اللي انا اذكركم + +505 +00:43:37,030 --> 00:43:40,790 +فيه جيبت كوندكتر و حطته في uniform electric field + +506 +00:43:40,790 --> 00:43:45,090 +ذاكرينه؟ قولت تتشوهي المجال الكهربائي في المنطقة + +507 +00:43:45,090 --> 00:43:49,050 +اللي حوالين الكوندكتر جوا الكوندكتر إيش كان؟ + +508 +00:43:49,050 --> 00:43:52,430 +المجال كده إيش لازم يكون؟ Zero الأن بقول ليه بديش + +509 +00:43:52,430 --> 00:43:56,670 +أحط كوندكتر؟ بدي أحط كرة insulator، dielectric + +510 +00:43:56,670 --> 00:44:03,080 +حطتها في مجال أصليإيه صار؟ بقول جوه مش contactor + +511 +00:44:03,080 --> 00:44:07,560 +المجال بيسوي السفر لكن هل بيسوي اللي برا؟ لا إذا + +512 +00:44:07,560 --> 00:44:13,760 +الدعاء المطلوب مني إيجاد الجهد برا و جوه نيجي لل + +513 +00:44:13,760 --> 00:44:17,440 +boundary conditions عند R بتساوي سفر في boundary + +514 +00:44:17,440 --> 00:44:21,480 +condition universal عالمي، مابتغيرش عند R بتساوي + +515 +00:44:21,480 --> 00:44:27,980 +سفر، إيش الجهد؟ الجهد ممنوع يسوي من نهاية طيبصح صح + +516 +00:44:27,980 --> 00:44:31,660 +يا غدير، أكيد؟ عندي الأرمنانيهاية، إيش الجهد + +517 +00:44:31,660 --> 00:44:41,180 +بيكون؟ عشان الكل يمشي صح صح، وقتي ال zeroلما يكون + +518 +00:44:41,180 --> 00:44:45,740 +المجال جاي من الكرة، لكن في مجال أصلي ولا لا؟ + +519 +00:44:45,740 --> 00:44:48,060 +ولمّا جالك فيه عندك uniform electric field، إيش + +520 +00:44:48,060 --> 00:44:50,380 +uniform؟ عند المال النهائية موجودة مش موجودة؟ + +521 +00:44:50,380 --> 00:44:52,600 +موجودة، موجودة، موجودة، موجودة، موجودة، موجودة، + +522 +00:44:52,600 --> 00:44:53,160 +موجودة، موجودة، موجودة، موجودة، موجودة، موجودة، + +523 +00:44:53,160 --> 00:45:07,760 +موجودة، موجودة، موجود + +524 +00:45:07,960 --> 00:45:10,840 +محنا في عندنا علاقة E بيستوي سالب دي لل V وبنجيبها + +525 +00:45:10,840 --> 00:45:14,920 +او بنتكامل ما هي هي تمام؟ اذا هاي two boundary + +526 +00:45:14,920 --> 00:45:17,160 +condition بعدين عندى V واحد بيستوي V اتنين مش + +527 +00:45:17,160 --> 00:45:19,560 +boundary condition؟ هاي كمان boundary condition + +528 +00:45:19,560 --> 00:45:22,940 +وبعدين D واحد N نخس D اتنين N بيستوي Sigma مصبوحه + +529 +00:45:22,940 --> 00:45:25,980 +او لأ؟ برضه ممكن نجيبه وبنفس الشغل عليهم المرة + +530 +00:45:25,980 --> 00:45:27,880 +الجاية ان 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2177.81, "text": "دل ضد الدل صارت دل تربيع رجعنا لبص هون equation فصار عندى دل تربيع ال V بسو سلب row 3 على إبسلون روه فري على إبسلون حلو إيش بقولك هدى بوص هون لو row 3 صفر معناته رجعنا ل class", "tokens": [3215, 1211, 48812, 3215, 32748, 1211, 20328, 9640, 2655, 11778, 1211, 6055, 2288, 21292, 3615, 12602, 7435, 3615, 8315, 5296, 3555, 9381, 8032, 11536, 5367, 6156, 9381, 9640, 43242, 7578, 11778, 1211, 6055, 2288, 21292, 3615, 2423, 691, 4724, 3794, 2407, 8608, 46152, 5386, 805, 15844, 11933, 3555, 3794, 1211, 11536, 12602, 2407, 3224, 6156, 16572, 15844, 11933, 3555, 3794, 1211, 11536, 11331, 1211, 2407, 11933, 1829, 8592, 4724, 39648, 4117, 8032, 3215, 7578, 4724, 2407, 9381, 8032, 11536, 45164, 5386, 805, 20328, 5172, 2288, 20449, 8315, 47395, 12602, 7435, 3615, 8315, 5296, 1508], "avg_logprob": -0.37105263157894736, "compression_ratio": 1.680232558139535, "no_speech_prob": 0.0, "words": [{"start": 2160.83, "end": 2161.09, "word": "دل", "probability": 0.55126953125}, {"start": 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صح دي واحد N مخص دي اتنين N و Sigma مع حد راحت بيصير Sigma", "tokens": [6027, 8592, 17082, 37977, 5893, 2423, 39184, 286, 1975, 1829, 3224, 5893, 2423, 286, 35186, 8032, 28259, 22807, 6225, 8592, 7649, 1975, 8315, 20328, 5016, 20328, 5016, 1829, 4117, 1975, 3224, 1975, 2655, 8848, 37983, 31371, 11296, 6360, 23032, 1829, 3555, 11778, 1829, 5893, 2423, 426, 11778, 1829, 426, 1975, 15730, 8032, 995, 11778, 1829, 5893, 2423, 426, 5893, 2423, 426, 20328, 5016, 11778, 1829, 36764, 24401, 426, 3714, 9778, 9381, 11778, 1829, 1975, 2655, 1863, 9957, 426, 4032, 36595, 20449, 11331, 3215, 12602, 39319, 2655, 4724, 1829, 9381, 13546, 36595], "avg_logprob": -0.3366168517133464, "compression_ratio": 1.6407185628742516, "no_speech_prob": 0.0, "words": [{"start": 2322.14, "end": 2322.72, "word": "الشغلة", "probability": 0.8106689453125}, {"start": 2322.72, "end": 2323.0, "word": " dot", "probability": 0.400634765625}, {"start": 2323.0, "end": 2323.46, "word": " الـ", "probability": 0.623291015625}, 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a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/j8f3jyxPt28_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/j8f3jyxPt28_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..1d0545baf976d14688e38d641d69b8974a6f0a7f --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/j8f3jyxPt28_postprocess.srt @@ -0,0 +1,1832 @@ +1 +00:00:20,870 --> 00:00:26,790 +تمام احنا اوقفنا عند المثال 4.7 اللي بيقول لي في + +2 +00:00:26,790 --> 00:00:32,310 +عندي linear dielectric material sphere of radius + +3 +00:00:32,310 --> 00:00:35,090 +capital A linear يعني ايش معناه linear عشان يقول + +4 +00:00:35,090 --> 00:00:37,630 +لي والله العلاقة تبعت اللي هي بتقول ال + +5 +00:00:37,630 --> 00:00:43,810 +polarization بتسوء y0 chi في E ثابت المفعول مش + +6 +00:00:43,810 --> 00:00:48,370 +اكتر حلو تمام find the potential inside and + +7 +00:00:48,370 --> 00:00:53,260 +outside the sphereطبعا واضح من طبيعة السؤال زي ما + +8 +00:00:53,260 --> 00:00:56,840 +كان مثال سابق كان conductor إذا كنتوا ذاكرين + +9 +00:00:56,840 --> 00:01:02,690 +conductor حطته في مجال أصليلما يكون conductor هنا + +10 +00:01:02,690 --> 00:01:07,030 +مسموح يكون في مجال جوا؟ لا تمام كان Zero وبالتالي + +11 +00:01:07,030 --> 00:01:11,230 +احنا قلنا في المنطقة هذه صار في تشويه للمجال + +12 +00:01:11,230 --> 00:01:15,730 +الكهربائي Deformed لكن أبعد عن القرى المجال بيظله + +13 +00:01:15,730 --> 00:01:21,190 +مجال اللي هو الأصلي تمام انا بدي المجال هنا و هنا + +14 +00:01:21,190 --> 00:01:28,600 +برا جوا و برا طبعافهنا وهنا فش رو وبالتالي لبلاس + +15 +00:01:28,600 --> 00:01:33,620 +ال equation سرية المفعول والحل تبعي بيكون كالتالي + +16 +00:01:33,620 --> 00:01:38,680 +انا عندي AL + +17 +00:01:38,680 --> 00:01:50,540 +R أس L plus BL R أس L plus 1 PL هذا V in طب V out + +18 +00:01:50,540 --> 00:01:56,630 +نفس الحل V outلسا وصلنا إيش؟ خلّيني أقول A L شرطة + +19 +00:01:56,630 --> 00:02:05,950 +R أوص L plus B L شرطة على R L plus 1 بي L هاي + +20 +00:02:05,950 --> 00:02:11,990 +الحليلة أكم ثابت عندك عندي أربع مجموعات من الثوابت + +21 +00:02:11,990 --> 00:02:17,770 +عندي مجموعة ال A's كلها ومجموعة ال B's مجموعة ال + +22 +00:02:17,770 --> 00:02:21,690 +A's شرطة و ال B's شرطة صح ولا لأ؟ هدول الثوابت + +23 +00:02:21,690 --> 00:02:26,600 +بحلهم من ال boundary conditionهذا له two boundary + +24 +00:02:26,600 --> 00:02:32,320 +conditions الـ0 والـR وهذا الـR والمناهية صحيح ولا + +25 +00:02:32,320 --> 00:02:36,920 +لأ؟ طيب، احنا عنا بعض الثوابط طبعا في بعض ال + +26 +00:02:36,920 --> 00:02:40,020 +condition بربط التنين مع بعض زي لما أقول V1 بيساوي + +27 +00:02:40,020 --> 00:02:46,960 +V2 وين؟ عالسطح وعندي A1n-A2n بيساوي سيجما + +28 +00:02:46,960 --> 00:02:50,260 +الـframe، مظبوط ولا لأ؟ دي واحد ان برضه هذا بربط + +29 +00:02:50,260 --> 00:02:52,740 +التنين فلما نيجي ال boundary condition اللي احنا + +30 +00:02:52,740 --> 00:02:58,020 +عارفينهمأول Poundar Condition بيقولي لما R بيسوي 0 + +31 +00:02:58,020 --> 00:03:02,120 +ال V in ممنوع يكون من النهاية .. ممنوع يكون من + +32 +00:03:02,120 --> 00:03:06,500 +النهاية .. حلو الشغلات التانية بيقولي عندي ال R .. + +33 +00:03:06,500 --> 00:03:09,240 +capital R مش مديني الجهود بس أنا بعرف أن ال V in + +34 +00:03:09,240 --> 00:03:12,540 +لازم يسوي V out صح ولا لأ؟ تمام .. ليه جينا + +35 +00:03:12,540 --> 00:03:16,980 +المنطقة اللي برا؟ بيقولي هل عند R قصته من النهاية + +36 +00:03:16,980 --> 00:03:23,580 +الجهود بيسوي 0؟ لأأصلا عند الـ A ملا نهاية ابعد + +37 +00:03:23,580 --> 00:03:30,500 +كتير برجع Uniform إذا as R goes to ملا نهاية E + +38 +00:03:30,500 --> 00:03:36,560 +اللي أدتني هيها E نوت باتجاه ال K طب أنت بتجيب ال + +39 +00:03:36,560 --> 00:03:40,800 +E ولا بتجيب ال V قاعد؟ بتجيب ال V عندك هادي .. + +40 +00:03:40,800 --> 00:03:47,500 +sorry هادي بسو سالب دل ال Vمازال هادى باتجاه الـ K + +41 +00:03:47,500 --> 00:03:50,900 +إذا صارت E not بالسوية سالب partial V على partial + +42 +00:03:50,900 --> 00:03:56,220 +Z بس عشان هادى باتجاه الـ K لما يعملها تصير V + +43 +00:03:56,220 --> 00:04:02,480 +بالسوية سالب E not بالZ ده الثابت معين هادى الشيء + +44 +00:04:02,480 --> 00:04:08,380 +R cos θ إذا هادى ال V عند المنى نهاية إذا عند ال V + +45 +00:04:08,380 --> 00:04:14,810 +من نهاية جاليالـ V إي نوت Z بلص ثابت أو إي نوت R + +46 +00:04:14,810 --> 00:04:20,130 +كوسين ثيتا بلص K طيب؟ ده لأن دي ثابت بالزمن إن دي + +47 +00:04:20,130 --> 00:04:25,770 +1N نقص دي 2N بتساوي Sigma Free طبعا، هل في Sigma + +48 +00:04:25,770 --> 00:04:29,150 +Free على الكورة؟ + +49 +00:04:29,150 --> 00:04:34,190 +Free مش اللي جاي من ال polarization، هدك بيسميها + +50 +00:04:34,190 --> 00:04:40,810 +Bound جالك الكورة مشحونة؟ إذا مافيش Freeهي free .. + +51 +00:04:40,810 --> 00:04:50,110 +free يقولك انت شحنت .. وين .. وين .. هو قالك .. + +52 +00:04:50,110 --> 00:04:57,950 +برا .. برا مافيش polarization أصلاأما الـ Bound + +53 +00:04:57,950 --> 00:05:00,890 +موجود داخل الكورة هي المادة الـ dielectric لأن + +54 +00:05:00,890 --> 00:05:05,210 +البرا فراخ ولكن ليس هناك polarization تمام؟ إذا + +55 +00:05:05,210 --> 00:05:09,710 +D1N نقص D2N بيساوي Zero معناته الـ Sigma فيه صفر + +56 +00:05:09,710 --> 00:05:14,630 +لأنه لم يكن يشحن الـ G2 تمام، نبدأ نشتغل هاي الـ + +57 +00:05:14,630 --> 00:05:19,370 +VIN و هاي الـ VR صح ولا لأ؟ أول شرط، ماذا يعمل في + +58 +00:05:19,370 --> 00:05:25,790 +هذا؟ ماذا يضيع؟ مسموح يكون من النهاية؟ماذا يسمى + +59 +00:05:25,790 --> 00:05:30,850 +كلمة يجعله ملا نهاية؟ هذا لأنه أنا لم أضع هنا صفر، + +60 +00:05:30,850 --> 00:05:34,530 +لماذا يصبح هذه جواب؟ ملا نهاية، إذن هذا كلمة + +61 +00:05:34,530 --> 00:05:40,410 +معقول، معناته هذا روح، + +62 +00:05:40,410 --> 00:05:45,990 +مظبوط؟ دلت عندنا الـA، خلصنا، تمام، هدول خليهم + +63 +00:05:45,990 --> 00:05:51,050 +واحدة واحدة، اتطلعش بقولي from the first condition + +64 +00:05:51,050 --> 00:05:57,320 +we conclude that B isالـ R0 كلهم ممنوع حد يظهر + +65 +00:05:57,320 --> 00:06:04,100 +بيقول له إذا هي EN صفّت AL R أُس L بيقل كسيني + +66 +00:06:04,100 --> 00:06:04,620 +الثيتر + +67 +00:06:07,130 --> 00:06:11,110 +لو المالة نهاية بيساوي Zero كان رايحني كان ضياء + +68 +00:06:11,110 --> 00:06:14,510 +اتهادة و خلّيني اتهادها لكن مع الأسف مش Zero طب + +69 +00:06:14,510 --> 00:06:18,170 +إيش بده أساويه؟ أعوض محله كيف أعوض محله؟ جديش + +70 +00:06:18,170 --> 00:06:23,970 +بيكون جلي عبارة عن E naught R cos θ بتساوي زي + +71 +00:06:23,970 --> 00:06:27,590 +الثابت .. الثابت أنا بتدخلي لسه في البداية هادي + +72 +00:06:27,590 --> 00:06:31,290 +طبعا لما أقول جثم المالة نهاية مع أنت تبتدعي بروح + +73 +00:06:31,290 --> 00:06:40,090 +بتدعي عندي AL R أس L PL شرطة طبعامظبوط يك سار؟ طيب + +74 +00:06:40,090 --> 00:06:45,190 +كيف بدي أجيب قيم AL؟ زي ما اتفقنا في عندي طريقة + +75 +00:06:45,190 --> 00:06:50,870 +أني بتضرف ب BL و كامل عشان تطلع هنا عندي delta ال + +76 +00:06:50,870 --> 00:06:56,970 +delta بتضيع ال summation فبصير عندي AL شرط R أس L + +77 +00:06:56,970 --> 00:07:04,190 +و هنا لما أضرف ال BL هذه بواحد وهذه بصفر صح ولا .. + +78 +00:07:05,480 --> 00:07:08,980 +بالتالي هيطلع عندك .. لو بعتبرها سفر مش مشكلة + +79 +00:07:08,980 --> 00:07:13,600 +هيطلع عندك فقط ا واحد و ا سفر و الباقي كله zero صح + +80 +00:07:13,600 --> 00:07:17,960 +ولا لا؟ طبعا في طريقة تانية ممكن انا اعملها اقول + +81 +00:07:17,960 --> 00:07:24,900 +كتالة from the third condition ناقص a note .. ال k + +82 +00:07:24,900 --> 00:07:28,180 +اعتبرها سفر برجعها كده بس انا اعتبرها zero اللي هي + +83 +00:07:28,180 --> 00:07:33,340 +ثابت تبع التكامل ده شايفين؟ a note z زائد kممكن + +84 +00:07:33,340 --> 00:07:37,800 +تحطه و ممكن تخليه يسافر لكن لو حطينا بيفرقش كتير + +85 +00:07:37,800 --> 00:07:45,020 +طلعوا إيش سويت أنا بدل ما أضرب بال بي ال شرطة و + +86 +00:07:45,020 --> 00:07:47,460 +أكامل و أجيب ال orthogonality و أقول delta و ضيق و + +87 +00:07:47,460 --> 00:07:53,000 +أغلب حالي قولت هذا ال term اللي إنت جيبتي ليه خد + +88 +00:07:53,000 --> 00:07:58,380 +منه term واحد حد إيش هو الحد؟ خد منه ال بتسوي واحد + +89 +00:08:00,280 --> 00:08:03,800 +لما قلت ايه اللي بيساوي واحد ايه واحد شرطة R أس + +90 +00:08:03,800 --> 00:08:09,000 +واحد R بي واحد كوسانتيتا وخلّي الباقية الترمات بس + +91 +00:08:09,000 --> 00:08:13,040 +ايه أخدت من هنا بيساوي واحد جالي اقارن بين طرفي + +92 +00:08:13,040 --> 00:08:19,160 +المعادلة هاي بي واحد وهاي بي واحد اذا بتقول ان اي + +93 +00:08:19,160 --> 00:08:25,520 +واحد شرطة بيساوي ناقص E not في ال R ولا لأ ان هو + +94 +00:08:25,520 --> 00:08:29,120 +التاني التاني بيساوي سفر + +95 +00:08:31,660 --> 00:08:36,160 +سأقوم بعمل سفر كله لأنك عندما تقارن عندك معادلة + +96 +00:08:36,160 --> 00:08:40,040 +كالتالية خلّيني أشوف الرياضية تبعتكم زمان a x + +97 +00:08:40,040 --> 00:08:46,980 +تربيع زائد b x تكعيب زائد c x زائد d بتساوي خمسة + +98 +00:08:46,980 --> 00:08:51,460 +زائد تلاتة x زائد اتنين x تربيع زائد خمسة x تكعيب + +99 +00:08:51,460 --> 00:08:56,180 +عندما تكون عندكم معادلة هكذا تقدروا تقولوا الـD + +100 +00:08:56,180 --> 00:09:05,500 +خمسة والـC تلاتةوالـ A2 و B5 صح ولا لأ؟ تتقارن + +101 +00:09:05,500 --> 00:09:10,140 +المعامل بمعامل وهذه نفس العملية بدل ال X B1 وB2 + +102 +00:09:10,140 --> 00:09:16,100 +وB3 وB4 وB5 هجيت هنا في بي واحد في هنا بي واحد فيه + +103 +00:09:16,100 --> 00:09:21,560 +قارنوها هنا في بعدين كل ال بيز فيك باله ماشي؟ إذا + +104 +00:09:21,560 --> 00:09:26,480 +كل ال بيز الباقين Zero تمام؟ مازلك ممكن أنا أدرف + +105 +00:09:26,480 --> 00:09:31,680 +في ال .. في ال orthogonality و أطلع التوابأذا من + +106 +00:09:31,680 --> 00:09:37,500 +هنا يقول R cos θ R cos θ إذا الـ A1 بيسوي سلب A0 + +107 +00:09:37,500 --> 00:09:44,100 +and E إلا شرطة بتسوي سفر كل الباقية for إلا تسوي + +108 +00:09:44,100 --> 00:09:54,140 +واحد اتفجنا؟ مجرد مقارنة بس عشان أنه يعني خلّيها + +109 +00:09:54,140 --> 00:10:03,900 +دي تعالوا إذا هاي V outVout أخدت بس A1 وكل الـ A + +110 +00:10:03,900 --> 00:10:13,160 +روحوا من هنا رجعنا A1 دلوا ها A1 وهذه R1 تمام أو + +111 +00:10:13,160 --> 00:10:16,840 +هذول طلبهم زي ما هم فـ A1 باتجاه الـ R عوضت في محل + +112 +00:10:16,840 --> 00:10:20,440 +الـ A0 و الـ P1 عبارة عن Cos فهذه Vout وهذه Vin + +113 +00:10:20,440 --> 00:10:26,880 +إذن Vin طلعت و Vout طلعت لو جهت طلعت على الـ A الـ + +114 +00:10:26,880 --> 00:10:34,740 +N Vin فيها إيه؟كلها بدياهم و ال out فيها ال bees + +115 +00:10:34,740 --> 00:10:38,120 +طبعا أصلا هم بيه شرطة لكن عشان مادلتش bees ممكن + +116 +00:10:38,120 --> 00:10:41,780 +تبقي ال game الشرطة مظبوط ولا لأ؟ طيب إذا إيش ضايل + +117 +00:10:41,780 --> 00:10:45,700 +عليها؟ أطلع ال as و ال bees ال as تعوني ال in و ال + +118 +00:10:45,700 --> 00:10:48,220 +bees تعوني ال out إيش في عندي دا ال boundary + +119 +00:10:48,220 --> 00:10:52,680 +condition؟ جالي V1 بيساوي V2 ولا لأ؟ V1 بيساوي V2 + +120 +00:10:52,680 --> 00:10:55,000 +وين؟ على السطح يعني مدينك تحط مكان اسمه ال R + +121 +00:10:55,000 --> 00:10:57,160 +capital R يلا + +122 +00:11:03,100 --> 00:11:08,860 +A in بتساوي A out في الـ A in مافيش إلا term واحد + +123 +00:11:08,860 --> 00:11:13,980 +قال لي خد بس لما إلا تساوي واحد طلعوا و الباقي إلا + +124 +00:11:13,980 --> 00:11:21,580 +تساوي واحد وهذه الـ A out جاهزة هذا ما هو ننساش + +125 +00:11:21,580 --> 00:11:25,660 +هذي إيش هذي بي واحد بقدر أطلع من هنا بي واحد ولا + +126 +00:11:25,660 --> 00:11:32,810 +مقدراش؟بقدر اطلع بي واحد طلع بي واحد بي واحد ارقص + +127 +00:11:32,810 --> 00:11:37,470 +تربيع بي + +128 +00:11:37,470 --> 00:11:42,210 +واحد اي كوسين ثيتا بي + +129 +00:11:42,210 --> 00:11:49,110 +واحد + +130 +00:11:49,110 --> 00:11:54,290 +ارقص تربيع بي واحد اي كوسين ثيتا بي واحد ارقص + +131 +00:11:54,290 --> 00:11:55,290 +تربيع بي واحد ارقص تربيع بي واحد ارقص تربيع بي + +132 +00:11:55,290 --> 00:11:56,880 +تربيع بي واحد ارقص تربيع بي واحد ارقص تربيع بيوهنا + +133 +00:11:56,880 --> 00:12:05,180 +ناقص E note R زي بي واحد على R تربيع صحيح ولا لأ؟ + +134 +00:12:05,180 --> 00:12:14,940 +هذا بتسوي هذا and ال ال sorry R أس ال بتسوي بي ال + +135 +00:12:14,940 --> 00:12:23,790 +على R أس ال plus one هذه ال ده تسوي واحدمجرد + +136 +00:12:23,790 --> 00:12:29,390 +مقارنة بدل ما اضرب و اعمل طريقة شفتر تلاتة طيب، + +137 +00:12:29,390 --> 00:12:33,810 +ايش بدك انت؟ بدي A1 و B1 ولا لأ؟ طيب هذه المعادلة + +138 +00:12:33,810 --> 00:12:37,250 +الأولانية بتقدر تجيب فيها A1 و B1 ولا بدك كمان + +139 +00:12:37,250 --> 00:12:41,830 +معادلة؟ بدي كمان معادلة تربط الـ A1 و B1 و هناك + +140 +00:12:41,830 --> 00:12:45,870 +بدي كمان معادلة تربط الـ AL و الـ BL من وين اجيب + +141 +00:12:45,870 --> 00:12:49,670 +المعادلة؟ دلّك Poundary Condition اللي هو D1 N نقص + +142 +00:12:49,670 --> 00:12:56,590 +D2 N بالثوابة Sigma 3طبعا ال D يقول دي واحد ان نقص + +143 +00:12:56,590 --> 00:13:02,750 +دي اتنين ان بتساوي Zero هل ال D مربوطة بالجهود؟ ال + +144 +00:13:02,750 --> 00:13:06,150 +E المربوطة بالجهود لكن في عندك علاقة بتقول D + +145 +00:13:06,150 --> 00:13:13,070 +بيساوي Y في E ولا لأ؟أول حول الـD لـE و بعدين تقول + +146 +00:13:13,070 --> 00:13:18,490 +الـE بالساوية partial دل الـV تمام، إذا نقول هذه + +147 +00:13:18,490 --> 00:13:21,890 +المعادلات اللي كتبتها بس خليني أكتبها راجعت ما شاء + +148 +00:13:21,890 --> 00:13:26,030 +الله علينا أننا لوح واسع وبالتالي نكتب اللي بدنا + +149 +00:13:26,030 --> 00:13:32,050 +ياه ونحوشه هنا عشان ماضلاش اودي ال slides + +150 +00:13:32,050 --> 00:13:41,730 +إذا طلع عندي A1 بالساوية ناقص E0plus B1 على R + +151 +00:13:41,730 --> 00:13:54,310 +تكعيب and هذه معادلة رقم تلاتة و AL بتساوي BL على + +152 +00:13:54,310 --> 00:13:58,590 +R 2L plus 1 وهذه معادلة رقم أربعة بدي كمان معادلة + +153 +00:13:58,590 --> 00:14:01,770 +واحدة زي تلاتة و واحدة زي أربعة بحل كل ثوابتي صحيح + +154 +00:14:01,770 --> 00:14:06,190 +ولا لأ تمام ايه نطلعيقول from the fourth condition + +155 +00:14:06,190 --> 00:14:11,690 +دي واحد in نخس دي اتنين in ايش عمليت؟ الدي واحد in + +156 +00:14:11,690 --> 00:14:16,310 +قولت عبارة عن ابسلون واحد in نخس ابسلون نوت اتنين + +157 +00:14:16,310 --> 00:14:21,830 +in على اساس انا المفروض هادي ابسلون نوت وهادي + +158 +00:14:21,830 --> 00:14:27,250 +ابسلون لأ لأ لأ لأ الواحد هو الخارج والتاني هو + +159 +00:14:27,250 --> 00:14:32,270 +الداخل فبتكون الخارج ابسلون نوت فمفروض هادي + +160 +00:14:32,270 --> 00:14:33,570 +الابسلون نوت وهادي الابسلون + +161 +00:14:36,770 --> 00:14:42,850 +تمام لان احنا بنعتبر هو احداك الموجب مش مشكلة اذا + +162 +00:14:42,850 --> 00:14:49,870 +sigma free اه هنا ضابط انا معايا هنا ضابط لما حورت + +163 +00:14:49,870 --> 00:14:53,470 +ال out و ال in صح صح عليها لان ال epsilon note على + +164 +00:14:53,470 --> 00:14:58,830 +out صحيح و ال epsilon على ال in و السالم و طبعا في + +165 +00:14:58,830 --> 00:15:02,830 +نهايته ساوي zero لان مافيش عندي sigma free لان + +166 +00:15:02,830 --> 00:15:05,190 +اللي برا هو الفراغ و اللي جوا هو ال dielectric + +167 +00:15:05,190 --> 00:15:11,680 +windالأولى صح؟ ليش؟ الواحد in .. الواحد in يعني + +168 +00:15:11,680 --> 00:15:15,040 +اللي .. بتبقى اللي برا لها انت لما جيتش تشتغل نهر + +169 +00:15:15,040 --> 00:15:22,800 +ماهي السلم طلعته كله طلّحوا طلّع السلم لأ لأ هنا + +170 +00:15:22,800 --> 00:15:27,020 +خطأ أنا بذكر كيف اشتقنا ال boundary condition صحيح + +171 +00:15:27,020 --> 00:15:33,110 +طبعاالـ V out هدوّاك الـ V in في الصفحة اللي جابله + +172 +00:15:33,110 --> 00:15:37,290 +بقدر أشتق بالنسبة لل R ولا بقدرش أشتق؟ طبعا تنسوش + +173 +00:15:37,290 --> 00:15:41,630 +أنها صح صح يا بنات ليش أنا كاتب R؟ مش كاتب Normal + +174 +00:15:41,630 --> 00:15:46,510 +عشان مافيش فيتا تمام بشتق بالنسبة لل Normal فقط + +175 +00:15:46,510 --> 00:15:55,130 +حلو فتقدر تشتق هذه بالنسبة لل R؟ طب و ال V in بقدر + +176 +00:15:55,130 --> 00:16:00,190 +أشتقه التنتيهب بقدر أشتقهإشتقاق بسيط جدا إشتققت + +177 +00:16:00,190 --> 00:16:06,250 +طلعت هكذا هذا إشتقاق بالنسبة للـ R إشتققت الـ In و + +178 +00:16:06,250 --> 00:16:13,530 +إشتققت الـ Out كمان + +179 +00:16:13,530 --> 00:16:15,030 +مرة عشان أعمل مقارنة + +180 +00:16:18,360 --> 00:16:22,120 +الـ P term هي فالك لحاله شايفين هو الـ P term فالك + +181 +00:16:22,120 --> 00:16:27,780 +لحاله؟ إيه جنبه؟ Cos θ P1 P1 إذا معناته بيقوللي + +182 +00:16:27,780 --> 00:16:30,660 +عشان تعمل مقارنة صح طلعلي من هنا P1 و طلعلي من هنا + +183 +00:16:30,660 --> 00:16:40,040 +P1 صح ولا لأ؟ فلما طلعت P1 حليني أعملها أول هذه + +184 +00:16:40,040 --> 00:16:46,790 +طلعتأنا مش ساعدين، كاين هذي إيه لما أشوفها إيه؟ + +185 +00:16:46,790 --> 00:16:53,880 +هذي ال في إذا إبسلون على إبسلون North فيههذه L لما + +186 +00:16:53,880 --> 00:16:59,880 +تكون L بيكون واحد واحد هاي ايه واحد؟ R خلصنا بيكو + +187 +00:16:59,880 --> 00:17:04,880 +صين فيتا زائد أبسلون على أبسلون نوت summation L من + +188 +00:17:04,880 --> 00:17:11,460 +صفر .. sorry ذات يسوى one لما أنا نهاية L L R L + +189 +00:17:11,460 --> 00:17:18,400 +ناقص واحد ب L بتسوى ناقص E نوت كوصين الثيتا ناقص + +190 +00:17:18,400 --> 00:17:29,000 +بتاخد واحد هنا تصير اتنينعلى r تلاتة بواحد cosine + +191 +00:17:29,000 --> 00:17:35,760 +of theta ناقص ال summation L plus one R L plus + +192 +00:17:35,760 --> 00:17:44,500 +اتنين PL هنا في PL L plus one تمامبدي اعمل مقارنة + +193 +00:17:44,500 --> 00:17:48,660 +هل جيت؟ بدي اعمل مقارنة بيقول لي cosine theta + +194 +00:17:48,660 --> 00:17:53,840 +cosine theta و cosine theta فصارت epsilon على + +195 +00:17:53,840 --> 00:18:00,820 +epsilon note A1 بيسوي ماقس E note ماقس 8 B1 على R + +196 +00:18:00,820 --> 00:18:08,440 +تكعيب صح ولا لأ؟ and epsilon على epsilon noteالـ + +197 +00:18:08,440 --> 00:18:17,540 +ALR الناقص واحد بتساوي ناقص + +198 +00:18:17,540 --> 00:18:22,960 +L plus one على R L plus اتنين ب L + +199 +00:18:26,100 --> 00:18:30,060 +المعادلات اللي بدكياهم جبتهم هي علاقة بتربط A1 و + +200 +00:18:30,060 --> 00:18:34,960 +B1 و علاقة بتربط AL و BL كمان واحدة غير هدول عشان + +201 +00:18:34,960 --> 00:18:40,960 +نقدر نشر عنهم فبعد ما جبت انا هدول طلعت epsilon R + +202 +00:18:40,960 --> 00:18:43,280 +هدول epsilon على epsilon not هي epsilon R لان هذه + +203 +00:18:43,280 --> 00:18:47,780 +epsilon R في epsilon not فepsilon R في A1 بيسوي + +204 +00:18:47,780 --> 00:18:53,710 +ناقص E0 في 2B1 على R تكعيب هذه دلوقتيماعرفش إيش + +205 +00:18:53,710 --> 00:19:02,090 +مكتوبة عينكم هذه خمسة and epsilon R L L R أُس L + +206 +00:19:02,090 --> 00:19:08,570 +minus one بس لو سالف L plus one صحيحة هدول + +207 +00:19:08,570 --> 00:19:13,570 +أقدر أمحيهم لأنهم هم نفسهم اتطلعوا عند هدول + +208 +00:19:13,570 --> 00:19:17,530 +معادلتين اتطلعولي + +209 +00:19:17,530 --> 00:19:22,280 +معادلة خمسة و معادلة تلاتةمعادلة خمسة ومعادلة + +210 +00:19:22,280 --> 00:19:27,600 +تلاتة بقدر أجيب منها B1 وA1 ولا لأ؟ اه لأن عوضه + +211 +00:19:27,600 --> 00:19:32,260 +محال A1 هادي بيظهر عندك المجهول الوحيد B1 ونفس + +212 +00:19:32,260 --> 00:19:37,200 +العملية ستة وأربعة صح ولا لأ؟ إذا من هدول + +213 +00:19:37,200 --> 00:19:45,240 +المعادلتين طلع عندي هدا هي فطلعت B1 ومنها طلعت A1 + +214 +00:19:45,240 --> 00:19:47,140 +طيب + +215 +00:19:49,400 --> 00:19:54,260 +أربعة أو ستة ما طلعت عندي معادلة طلعت عندي هذه + +216 +00:19:54,260 --> 00:20:00,680 +المعادلة كيف بدي أجيب بيه إلي؟ طلعت في شغل سهلة + +217 +00:20:00,680 --> 00:20:09,600 +هنا طلعت على الجوس أول حاجة هدا A في B بيساوة سفر، + +218 +00:20:09,600 --> 00:20:16,280 +إيش بيقول هذه؟ طب لو قلتي لك A مش سفر؟ حل، طلعوا + +219 +00:20:16,280 --> 00:20:22,980 +لي على الجوسYR ذاكرينه ممكن يكون سالب؟ لأ أكبر من + +220 +00:20:22,980 --> 00:20:28,860 +واحد طيب و ال L تبدأ من Zero و تطلع؟ مافي سوالب هل + +221 +00:20:28,860 --> 00:20:33,040 +ال goals في مجال أن يكون Zero؟ لأ بل بل بل بل بل + +222 +00:20:33,040 --> 00:20:36,660 +بل بل بل + +223 +00:20:36,660 --> 00:20:40,940 +بل بل + +224 +00:20:40,940 --> 00:20:43,800 +بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل + +225 +00:20:43,800 --> 00:20:52,050 +بل بل بل بمعناته فقط طلعت A1 وB1 والباقي روحوا إذا + +226 +00:20:52,050 --> 00:20:56,610 +الحل خلص ساعتها بيقول ليه But the term between the + +227 +00:20:56,610 --> 00:21:00,490 +brackets cannot be zero إذا BL بالسوء AL بالسوء + +228 +00:21:00,490 --> 00:21:05,510 +Zero for L not equal to one وبالآخر طلعت V in + +229 +00:21:05,510 --> 00:21:13,300 +وطلعت V out طلعت V in وطلعت V outزي ما بده طبعا + +230 +00:21:13,300 --> 00:21:20,120 +هاد يخلص السؤال لكن خلينا لو قللي اوجد المجال اوجد + +231 +00:21:20,120 --> 00:21:23,120 +المجال اتطلعولي ع الجهود ع ايش باعتمد؟ طبعا مثلا + +232 +00:21:23,120 --> 00:21:27,700 +انتوا ملاحظين اركوسيا في تحطت محلها Z صح؟ تقدروا + +233 +00:21:27,700 --> 00:21:32,460 +تقولوا الجهود هيعتمد على Z ولا لأ؟ طيب لو جيت بدي + +234 +00:21:32,460 --> 00:21:38,360 +اجيب المجال هنا وقولت بيساوي سالب دليل V كيف بيطلع + +235 +00:21:38,360 --> 00:21:42,890 +تجاه المجال؟بارشع على بارشع X قداش؟ و بارشع على + +236 +00:21:42,890 --> 00:21:48,370 +بارشع Y؟ إذا بتجاه ال K إذا المجال الجوه باتجاه ال + +237 +00:21:48,370 --> 00:21:51,510 +K إنتوا ملاحظين الرسمة اللي أنا جيبناها و شحطناها + +238 +00:21:51,510 --> 00:21:56,290 +جاهزة شايفين كيف المجال مقاطعة تتجاهه؟ إذا هو + +239 +00:21:56,290 --> 00:21:59,870 +رسمها مش عبطا لأن هو حل السؤال قبل و طلع عند + +240 +00:21:59,870 --> 00:22:05,510 +المجال جوه كيف تجاهه؟ تجاه ال Z تمام؟ طيب إيش اللي + +241 +00:22:05,510 --> 00:22:10,360 +خلى المجال هيك؟أحنا هذه الـ dielectric material + +242 +00:22:10,360 --> 00:22:16,360 +خلّيني أرسمها هنا هذه كرة حطتها في مجال أصلي اللي + +243 +00:22:16,360 --> 00:22:21,120 +هو in water إيش هنا صار؟ polarization صار عندك + +244 +00:22:21,120 --> 00:22:24,540 +شحنات سالبة هنا و شحنات موجبة هنا صار في عندك مجال + +245 +00:22:24,540 --> 00:22:29,760 +هيك هجت إيه الكلية هذه؟ هي هذه زي هذه صح ولا لأ؟ + +246 +00:22:29,760 --> 00:22:35,020 +تمام طبعا لو هذا بيسوي هذا في القندق تلبسه يزيله + +247 +00:22:35,020 --> 00:22:41,380 +ال net طيبالـ Polarization مش بتسوي E Note كاي في + +248 +00:22:41,380 --> 00:22:47,550 +الـ E حاجتها دي E لبرا ولا لجوة؟اللي جوا، لأنه برا + +249 +00:22:47,550 --> 00:22:51,750 +مافيش polarization أصلا هذه E هي هذه نخص هذه الـ + +250 +00:22:51,750 --> 00:22:55,530 +electric field صح ولا لأ؟ طيب لو جبتلك ال + +251 +00:22:55,530 --> 00:22:59,510 +polarization بتجيبه أنا جبت ال EN ولا لأ؟ هاي ال + +252 +00:22:59,510 --> 00:23:03,070 +EN، طب و جبناها بتقدر تجيبلي ال polarization؟ + +253 +00:23:03,070 --> 00:23:07,230 +بقوله بقدر أجيبلك ساعتها بتقدر تجيبلي sigma pound + +254 +00:23:07,230 --> 00:23:14,880 +و rho pound ولا بتقدرش؟ بقدر صح ولا لأ؟ تمامطبعا و + +255 +00:23:14,880 --> 00:23:20,420 +لازم تطلع معاك النتيجة انه sigma مش ثابتة فوق غير + +256 +00:23:20,420 --> 00:23:27,100 +عن تحت لان فوق هتكون بوجب تحت سلبة يعني لازم تطلع + +257 +00:23:27,100 --> 00:23:36,160 +شغلة في cosine ال theta cosine ال theta كيف؟ + +258 +00:23:36,160 --> 00:23:38,000 +مش معايش + +259 +00:23:42,660 --> 00:23:46,420 +طب ليش تعملوا اجتماع قبل 11؟ احنا قاموناش نعمل + +260 +00:23:46,420 --> 00:23:50,880 +اجتماع في المحاضرات لأ + +261 +00:23:50,880 --> 00:23:55,880 +طب + +262 +00:23:55,880 --> 00:23:58,500 +ليش اجتماع عني لو ما يسمو حاجة في وقت الفرق؟ مش + +263 +00:23:58,500 --> 00:24:07,680 +عنكم فراغ؟ ال 11؟ ال 11 مش عنكم طيب + +264 +00:24:07,680 --> 00:24:08,040 +اطلع + +265 +00:24:12,780 --> 00:24:17,060 +تمام اذا انا بقدر اقول ان ال P مفروض يكون as a + +266 +00:24:17,060 --> 00:24:22,640 +function of θ فزي ما خلصت انا عند هنا بعد ما جيبت + +267 +00:24:22,640 --> 00:24:26,320 +V in و V out to find the electric field جبت المجال + +268 +00:24:26,320 --> 00:24:31,540 +ال N طلعت معايا زي ما اتوقع باتجاه ال Z note that + +269 +00:24:31,540 --> 00:24:34,260 +for a conductor جداش لازم المجال يكون في ال + +270 +00:24:34,260 --> 00:24:38,110 +conductor؟ Zeroاللي كنت بكتر YR بيساوم من النهاية + +271 +00:24:38,110 --> 00:24:42,390 +فهدع من النهاية فجايز يطلع Zero إذا صح السؤال و + +272 +00:24:42,390 --> 00:24:47,990 +بيعمل موائمة عليها This field is the net electric + +273 +00:24:47,990 --> 00:24:51,690 +field inside the sphere. It is the sum of the + +274 +00:24:51,690 --> 00:24:54,690 +external electric field E0 and the electric field + +275 +00:24:54,690 --> 00:24:58,510 +due to the polarization بمعنى أخر E ان هدا هو E + +276 +00:24:58,510 --> 00:25:01,630 +الخارجي زائد E اللي جاي منه ال polarization + +277 +00:25:04,520 --> 00:25:09,080 +اللي طلعناها هذي بتساوي E نوت الاصلية ذات E اللي + +278 +00:25:09,080 --> 00:25:11,680 +إجت من ال polarization دم حاجة الدليلة تمام؟ + +279 +00:25:11,680 --> 00:25:15,320 +بالتالي لو بدي أجيب E اللي إجت من ال polarization + +280 +00:25:15,320 --> 00:25:21,680 +عبارة عن E نقص E نوت E N اللي جبته مظبوط ولا لا؟ + +281 +00:25:21,680 --> 00:25:25,600 +تمام وإيه .. لو يجيب منها أطلع معايا بهذا النتيجة + +282 +00:25:25,600 --> 00:25:29,740 +طلعناها which is the opposite to the external + +283 +00:25:29,740 --> 00:25:37,780 +electric field it's opposite هي طبعا صحيحتمام يعني + +284 +00:25:37,780 --> 00:25:43,460 +EP بيسوي سلب E0 for a conductor يبسلون R جوزته من + +285 +00:25:43,460 --> 00:25:50,160 +النهاية لما تكون هادي كبيرة هدول بيروحوا بيصير + +286 +00:25:50,160 --> 00:25:54,780 +هادي على هادي روح هات بيصير سلب E0 بنرجع بنقول هذا + +287 +00:25:54,780 --> 00:25:58,980 +بيسوي هذا ف ال net electric field inside a + +288 +00:25:58,980 --> 00:26:02,180 +conductor must be zero وهذا الكلام اللي حاكيناه + +289 +00:26:02,180 --> 00:26:07,620 +زمانfor the outside region طلعنا هذا هو الـ + +290 +00:26:07,620 --> 00:26:11,460 +outside region طلع إيش طلع معايا E note باتجاه الـ + +291 +00:26:11,460 --> 00:26:14,660 +z بعد ما اشتقت بالنسبة لR و فيتا E note باتجاه الـ + +292 +00:26:14,660 --> 00:26:22,520 +z زائد هذا هذا الأصلي وجود القوة ضفلك هذا term + +293 +00:26:22,520 --> 00:26:25,600 +تطلعوا هذا term عندما نهيأ إليه تأثير + +294 +00:26:29,450 --> 00:26:33,110 +لأن في المقاطع اسمه R هذا بالدل على أن التغيير + +295 +00:26:33,110 --> 00:26:36,090 +وانتم بس في المنطقة اللي حوالي الكورة ابعد عن + +296 +00:26:36,090 --> 00:26:39,030 +الكورة كتير، هذا ال term ما بطل يلقى تأثير ارجعنا + +297 +00:26:39,030 --> 00:26:44,030 +أن R goes تماما لنهاية، المجال هو E0 تمام، طيب، مش + +298 +00:26:44,030 --> 00:26:47,050 +هذه المجال هو المجال اللي إجا من ال polarization + +299 +00:26:47,050 --> 00:26:51,710 +الأصل؟ صح؟ طب هذه لما صارها polarization مش عبارة + +300 +00:26:51,710 --> 00:26:56,130 +عن ديبولات؟ ديبولات، طب أنا مجال الديبول أخدته في + +301 +00:26:56,130 --> 00:27:03,240 +شقطر 3خلّينا نعمل مقارنة it is clear that the + +302 +00:27:03,240 --> 00:27:07,340 +second term of the last equation is the field due + +303 +00:27:07,340 --> 00:27:11,480 +to the polarization of the sphere تمام recalling + +304 +00:27:11,480 --> 00:27:15,660 +equation twenty سفر of شبطر تلاتة شبطر تلاتة + +305 +00:27:15,660 --> 00:27:20,040 +أديتكم من مجال لضيبول جلّي المجال لضيبول أيامها + +306 +00:27:20,040 --> 00:27:23,280 +هيك كان بيساوي أنا طلعت على شبطر تلاتة وجبت هذه + +307 +00:27:23,280 --> 00:27:27,640 +المعادلة وطلعت عليها هي لجيت الجث نفس الجثصح ولا + +308 +00:27:27,640 --> 00:27:32,880 +لأ؟ الجثة نفس الجثة هنا في P و هنا ارتكاب هنا في + +309 +00:27:32,880 --> 00:27:38,200 +ارتكاب معناته كل هذا هو small P هذي دايبو المومنت + +310 +00:27:38,200 --> 00:27:43,860 +هذي دايبو المومنت الصغيرة بتجرب للكبيرة الكبيرة هي + +311 +00:27:43,860 --> 00:27:52,140 +الصغيرة على الحجم و الحجم هو 4 ع 3 by ارتكاب بقدر + +312 +00:27:52,140 --> 00:27:55,220 +من هذه الملاحظة او المقارنة اجيب ال polarization + +313 +00:27:55,220 --> 00:27:59,170 +تحت المادةأنا قلت الـ polarization بجيبه من هذه + +314 +00:27:59,170 --> 00:28:03,490 +هذه طريقة وهذه طريقة كمان بجيب ال polarization هذه + +315 +00:28:03,490 --> 00:28:05,950 +ال polarization جبتها الذاكرين وقلنا ان هذه EN + +316 +00:28:05,950 --> 00:28:11,170 +وجبتها وقال لصير طب عمل مقارنة شوف حالك صح ولا لأ + +317 +00:28:11,170 --> 00:28:15,330 +اعملناها this EB is due to the dipole with the + +318 +00:28:15,330 --> 00:28:17,170 +dipole moment وهذه ال dipole moment وهذه ال + +319 +00:28:17,170 --> 00:28:20,170 +polarization جسبت على الحجر نفس ال polarization + +320 +00:28:20,170 --> 00:28:26,250 +اللي جبتها تبعة ال E ليه من هذه هي نفسهاالان + +321 +00:28:26,250 --> 00:28:29,110 +باستخدام السؤال 16 وهي هادي وهي ال polarization + +322 +00:28:29,110 --> 00:28:33,290 +إذا أنا جبتها من معادلتين نفس النتيجة ولا لأ؟ نفس + +323 +00:28:33,290 --> 00:28:39,770 +النتيجة هذه ال polarization طيب بدي رو بي هل جيه؟ + +324 +00:28:39,770 --> 00:28:48,270 +مجدش رو بي؟ طب شوفي هاي ال B مفروض بستلع عليها + +325 +00:28:48,270 --> 00:28:53,650 +كمان مرة Zero ولا مش Zero ال + +326 +00:28:53,650 --> 00:28:58,150 +polarizations كان هادي ولا هادي؟هذا unit vector + +327 +00:28:58,150 --> 00:29:05,950 +ليس Z هذا K ثابت او ليس ثابت؟ ال polarisation ثابت + +328 +00:29:05,950 --> 00:29:14,270 +اذا كده هو باهم؟ Zero Zero طيب و Sigma P؟ + +329 +00:29:14,270 --> 00:29:21,180 +شية الان هنا هل جيت؟الـR الـR hat لأن ال surface + +330 +00:29:21,180 --> 00:29:27,480 +واحد الـP dot الـR معناته كوصين ثيتا كوصين ثيتا + +331 +00:29:27,480 --> 00:29:32,300 +إذا السيجما طلعت كوصين ثيتا زي ما أنا متوقع أنه + +332 +00:29:32,300 --> 00:29:37,440 +لازم تطلعش ثابتة نص علوي موجة بنص صفلي سالد فلما + +333 +00:29:37,440 --> 00:29:38,540 +جيت طلعتها + +334 +00:29:42,670 --> 00:29:46,150 +وهي نفس الشيء مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +335 +00:29:46,150 --> 00:29:52,930 +مثلًا مثلًا + +336 +00:29:52,930 --> 00:30:01,390 +مثلًا + +337 +00:30:02,060 --> 00:30:08,320 +كنا نقول سيجما او ثيتا بيساوي كيه كوصاين ثيتا، هل + +338 +00:30:08,320 --> 00:30:12,580 +ذاكرين هذا السؤال؟ كنا نقول كرة عالية على سطحها، + +339 +00:30:12,580 --> 00:30:16,100 +سيجما بيساوي كيه كوصاين ثيتا نهيئة، ماهو الـK؟ كل + +340 +00:30:16,100 --> 00:30:20,100 +هذا يعتبر كيه، + +341 +00:30:20,100 --> 00:30:24,440 +مظبوط او لا؟ إذا ممكن أحله بهذه الطريقة، ممكن أحله + +342 +00:30:24,440 --> 00:30:28,620 +بهذه الطريقة، و أحل السؤالIt is left as an + +343 +00:30:28,620 --> 00:30:35,660 +exercise to show + +344 +00:30:35,660 --> 00:30:39,380 +that EP can be found using the method of example 4 + +345 +00:30:39,380 --> 00:30:45,200 +.2 بس بدل الكيب تحط هذا ثابت with sigma gloat on + +346 +00:30:45,200 --> 00:30:51,060 +the surface of the sphere تمام في كمان مثال اه + +347 +00:30:51,060 --> 00:30:54,880 +انسيت انا احكي عن الامتحان انا كنت حابب تكتب + +348 +00:30:54,880 --> 00:31:00,190 +الامتحانبس أخلص و بنرجع الوقت فاكد أنا و الشباب + +349 +00:31:00,190 --> 00:31:13,770 +بيصلي نعمل confirmation عشان .. لأ + +350 +00:31:13,770 --> 00:31:17,550 +.. إذا طلعناها سيفر مستخدمهاش بس احنا طلعناها في + +351 +00:31:17,550 --> 00:31:19,250 +ال in مش مش في ال out دير بالك + +352 +00:31:27,370 --> 00:31:33,090 +لأ مش ال .. مش الأولى، مش ال N ال N مغنى .. كله، + +353 +00:31:33,090 --> 00:31:36,730 +high الأوت جسدها أول معدلة توتر، الحل في المعدلة + +354 +00:31:36,730 --> 00:31:41,230 +.. سنة شوية، نور كاملة، high المعدلات ال condition + +355 +00:31:41,230 --> 00:31:44,810 +التالت لما استخدمنا .. ال condition التالت، سنة يا + +356 +00:31:44,810 --> 00:31:50,390 +أمان، ويا أمي ال condition التالت اش بيقول form + +357 +00:31:50,390 --> 00:31:55,410 +the third condition؟ طلعت، مين جالك ال B بالSouth + +358 +00:31:55,410 --> 00:32:00,640 +Africa؟ وينها؟لما عوضت مش فتسيب B على مالة نهاية + +359 +00:32:00,640 --> 00:32:04,500 +Zero ماصلش سفر عشان الـB السفر عشان الارض في + +360 +00:32:04,500 --> 00:32:08,780 +المقام ماحكيش انه صرت بي سفر انه خلصت الـT مروح + +361 +00:32:08,780 --> 00:32:12,500 +لما عوضت محل الـT مروح بس هل هذا يعني انه بي + +362 +00:32:12,500 --> 00:32:18,680 +السفر؟ يعني ان انت لو قلت كلمة يقولك كلمة تانية X + +363 +00:32:18,680 --> 00:32:25,460 +في B بالساوية كذا معينة تمام؟ حرجت هذه F بالساوية + +364 +00:32:25,460 --> 00:32:32,660 +X في Bلما X يصير صفر، كده F؟ هل هذا يعني أن B صفر؟ + +365 +00:32:32,660 --> 00:32:38,840 +هل هذا يعني أن B صفر؟ لأ، لكن لما تعوضي، بتبين بي؟ + +366 +00:32:38,840 --> 00:32:42,580 +لما تعوضي لما حال X بالصفر صفر، مش ان كنتي اللي F + +367 +00:32:42,580 --> 00:32:45,880 +الصفر صفر، عوضي X بالصفر صفر، تتنقل F بالصفر صفر، + +368 +00:32:45,880 --> 00:32:48,840 +راح كل ال term، لكن هذا لايعني أن B بالصفر صفر، + +369 +00:32:48,840 --> 00:32:54,280 +فإن لما عوضت، ال term تبع B صار صفر، لأن ال R هي + +370 +00:32:54,280 --> 00:32:59,030 +العوضت عنها، مش ال B'sطبعا انا قاعد بجيب هو ال V + +371 +00:32:59,030 --> 00:33:03,010 +out هو كان في A و B و لا فيش V A و V B لما جيت + +372 +00:33:03,010 --> 00:33:05,990 +اطبخ المعادل اللي كنتش انتقلت ايه جالي؟ جالي أرقص + +373 +00:33:05,990 --> 00:33:09,010 +و مانا نهاية لما عوّضت بحالة أرقص و مانا نهاية تام + +374 +00:33:09,010 --> 00:33:13,610 +اللي مجب بي لغى بي لغى طيّر من المعادل لكن ماخلّاش + +375 +00:33:13,610 --> 00:33:17,750 +.. ماجلّش انه بيتسفر وبالتالي لما رجعت انا جبت ال + +376 +00:33:17,750 --> 00:33:22,170 +A's لكن لما رجعت في ال I V out رجعته لأنه ماجبتوش + +377 +00:33:22,170 --> 00:33:29,400 +اناهذا for every R الأول لما أرجس من هنا بطير فانت + +378 +00:33:29,400 --> 00:33:36,500 +عليا؟ هاي سؤالك اه؟ نشوف .. اه نشوف هالسؤال بيقول + +379 +00:33:36,500 --> 00:33:41,640 +لي .. خلي الرسمة the entire region below the plane + +380 +00:33:41,640 --> 00:33:45,880 +هذا الأزرق .. الأخضر تحت كله dielectric material + +381 +00:33:45,880 --> 00:33:54,440 +تمام؟ حلوof susceptibility guy calculate the force + +382 +00:33:54,440 --> 00:33:59,680 +on a pointed charging cube situated a distance d + +383 +00:33:59,680 --> 00:34:02,860 +above the plane بيقول يالي أداش القوة اللي على + +384 +00:34:02,860 --> 00:34:06,900 +هادي إيش بتخلي هادي يصيح عليها قوة بقول هادي بتولد + +385 +00:34:06,900 --> 00:34:12,860 +مجال كلش أحنا بتولد مجال مالكم ليش بالعين كلش أحنا + +386 +00:34:12,860 --> 00:34:16,440 +بتولد مجال طب هادي مجال هادي إيش بيسويه في المادة؟ + +387 +00:34:17,130 --> 00:34:22,610 +بعمله polarization ما زال عمل polarization معناته + +388 +00:34:22,610 --> 00:34:26,870 +صار في عندك شحنات على السطح شحنات في الحجم هادت + +389 +00:34:26,870 --> 00:34:30,970 +أثرك في ال polarization و صار عليها قوة عشان تجيب + +390 +00:34:30,970 --> 00:34:38,090 +انت ال F اللي هاد تقدر تقول F بيساوي Q في E صح ولا + +391 +00:34:38,090 --> 00:34:44,740 +لا؟ طب إيه ده؟ عند أي نقطة؟ ده كتجيبهاللي عندك U + +392 +00:34:44,740 --> 00:34:49,240 +اللي عندك U برا طب هذي ايه من وين جاى؟ هذي ايه جاى + +393 +00:34:49,240 --> 00:34:52,160 +من ال polarization طب ال polarization كيف + +394 +00:34:52,160 --> 00:34:55,140 +اتعلمناه؟ قولنا ال polarization ما تعلمتوني غيره + +395 +00:34:55,140 --> 00:35:00,740 +واستبدلوا اما ب Sigma B او رو بي صح؟ طيب لو by + +396 +00:35:00,740 --> 00:35:07,240 +chance طلعت رو بي صفر ايش ده؟ Sigma B معناته هذه E + +397 +00:35:08,290 --> 00:35:12,870 +هي اللي جاية من الشحنات الـ Sigma P اللي هال صح + +398 +00:35:12,870 --> 00:35:16,270 +ولا لا Sigma P اللي هال ماعندي قانون بيقول E + +399 +00:35:16,270 --> 00:35:23,870 +بتساوي K تكامل DQ R script على R تكعيب صح ولا لا؟ + +400 +00:35:23,870 --> 00:35:30,270 +وهذه الـ A Sigma DS مظبوط ولا لا؟ لأنه Sigma طب + +401 +00:35:30,270 --> 00:35:37,010 +هذه Sigma من أين بقيت جيبها؟ Sigma P P ضد ال Nصح؟ + +402 +00:35:37,010 --> 00:35:42,270 +هذي بتساوي P ضد ال M إذا إيش بدك؟ بدي ال + +403 +00:35:42,270 --> 00:35:45,930 +polarization هي من وين بده يجيب ال polarization؟ + +404 +00:35:45,930 --> 00:35:51,070 +هذي بدي أرجع للمعادلة هذي صح ولا لأ؟ هذي ال + +405 +00:35:51,070 --> 00:35:56,060 +polarization إيش بدها؟ بدها E جواما هو أي من + +406 +00:35:56,060 --> 00:35:58,700 +المنطقة اللي بيصيرها polarization دي جوة بدي إيه + +407 +00:35:58,700 --> 00:36:03,180 +جوة؟ طب هدى إيه جوة؟ مش الـ net electric field + +408 +00:36:03,180 --> 00:36:07,520 +اللي خارجي زائد تبع ال polarization؟ الخارجي من + +409 +00:36:07,520 --> 00:36:11,100 +وين جاي؟ من الشحن الحمراء وهدى point of charge + +410 +00:36:11,100 --> 00:36:17,420 +بجيبه والداخلي جاي من السدمة صح ولا لأ؟ برضه بجيبه + +411 +00:36:17,420 --> 00:36:22,500 +إذا أنا بدي أجيب شخصية كتيرة عشان أقدر أحله طيب + +412 +00:36:22,500 --> 00:36:29,090 +قال لسنا شويةأخدت موضوع زمان اسمه الـ Image سمعتوا + +413 +00:36:29,090 --> 00:36:34,590 +فيه ولا لا؟ مبراو، زمان كانت هذه حلل ليها، لكن قال + +414 +00:36:34,590 --> 00:36:38,950 +لي أن هذه كنت أكتر و Grounded، صح؟ في هذه الحالة، + +415 +00:36:38,950 --> 00:36:42,210 +لو هذه كانت Grounded، يعني جهدها لازم يكون Zero، + +416 +00:36:42,210 --> 00:36:47,850 +قولت بيكون هذه إلى صورة هنا-Q على نفس البعد؟ ليش + +417 +00:36:47,850 --> 00:36:51,390 +قلت سالب كيو على نفس البعد أنا؟ عشان يطلع جهد Zero + +418 +00:36:51,390 --> 00:36:56,250 +على السطح، صح ولا لا؟ قالت طب ينفع تعمل image وقول + +419 +00:36:56,250 --> 00:37:00,090 +والله الأصل أنه ينفع لأنه إيش ال image؟ جالي جسم + +420 +00:37:00,090 --> 00:37:06,500 +شحنة وسطحالـ Condition تبعه معروف يستبدل بنفس + +421 +00:37:06,500 --> 00:37:11,080 +الشحنة و Image للشحنة صح؟ الـ Image مقدارها و + +422 +00:37:11,080 --> 00:37:14,220 +بعدها مين بيحدده؟ الـ Boundary Conditions صح ولا + +423 +00:37:14,220 --> 00:37:17,760 +لأ؟ هل الـ Boundary Condition اللي انا عندي ان V + +424 +00:37:17,760 --> 00:37:22,140 +بيساوي Zero؟ لأ طب فش Boundary Condition فيه؟ إيش + +425 +00:37:22,140 --> 00:37:26,800 +شبه الـ Boundary Condition؟ D1N مقص D2N بيساوي + +426 +00:37:26,800 --> 00:37:34,480 +Sigma V سمعتوا V؟ و V1 بيساوي V2طيب، هبقى انك + +427 +00:37:34,480 --> 00:37:38,420 +اشتغلت و قولتي الـ image هادى، بلاش سالب Q، + +428 +00:37:38,420 --> 00:37:43,880 +قولتكوا Q شرطة و قدرتي اطلعي Q شرطة و اطلعي بعضها + +429 +00:37:43,880 --> 00:37:47,540 +و بيدكي ال force، بقولي يا وردي خلصنا أف بالساوي K + +430 +00:37:47,540 --> 00:37:52,360 +Q واحد و Q اتنين على أرض اربعة سمحتوا في جهد + +431 +00:37:52,360 --> 00:37:57,020 +القانون؟ اذا بال image، بس ايش مشكلتي؟ بدي اجيب Q + +432 +00:37:57,020 --> 00:38:03,070 +شرطةصح ولا لأ؟ واجيب بعضها، واجيب بعضها، نفترض إنه + +433 +00:38:03,070 --> 00:38:09,030 +هذه البعض دي، إذا هذه إيش بتصير؟ اتنين دي تربية + +434 +00:38:16,510 --> 00:38:19,530 +وقتي شهادة .. صح صح .. صح .. صح .. صح .. صح .. صح + +435 +00:38:19,530 --> 00:38:20,290 +.. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. + +436 +00:38:20,290 --> 00:38:23,890 +صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح + +437 +00:38:23,890 --> 00:38:27,050 +.. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. + +438 +00:38:27,050 --> 00:38:27,210 +صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح + +439 +00:38:27,210 --> 00:38:27,910 +.. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. + +440 +00:38:27,910 --> 00:38:28,450 +صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح + +441 +00:38:28,450 --> 00:38:33,350 +صح .. صح .. صح .. صح .. صح .. صح .. صح ..مقدارها + +442 +00:38:33,350 --> 00:38:36,550 +وموضوعها بيحدد ال boundary condition بس انا بقدر + +443 +00:38:36,550 --> 00:38:40,350 +اقول فيه image صح ولا لا هذه ال image انا اعتبرتها + +444 +00:38:40,350 --> 00:38:45,030 +Q2 التي هي Q شرطة هجيت نفترض انه بعضها دي نفترض + +445 +00:38:45,030 --> 00:38:50,320 +انه بعضها دي دل علي اجيب Q2تمام؟ كيف أجيب Q2؟ و + +446 +00:38:50,320 --> 00:38:53,400 +المشكلة تعاد في ال image عشان انا بدي أحله المرة + +447 +00:38:53,400 --> 00:38:55,820 +اللي جاي و تكون واضحة أنا هنا ال boundary + +448 +00:38:55,820 --> 00:39:01,840 +condition في التنين بده V1 و بده V2 و بده E1 و E2 + +449 +00:39:01,840 --> 00:39:06,740 +صح؟ في ال image أذكركم قلت لما بيحط ال image .. حط + +450 +00:39:06,740 --> 00:39:10,020 +في المنطقة اللي خارج نطاق المنطقة اللي بتحسب عندها + +451 +00:39:10,020 --> 00:39:14,720 +الجهود صح؟ نفترض أنه هي V1 و اين بتحط ال image؟ + +452 +00:39:14,720 --> 00:39:14,980 +هنا + +453 +00:39:25,440 --> 00:39:31,660 +الطريقة الأولى F مستوى Q في ال E E اتيت من Sigma P + +454 +00:39:31,660 --> 00:39:35,460 +بس مشكلة Sigma P لازم تجيبها بواسطة انك تجيب E + +455 +00:39:35,460 --> 00:39:41,560 +الأولى هي طريقة التانية بتعمل image اذا عملت image + +456 +00:39:41,560 --> 00:39:46,820 +هي قانونك بس جيبلي Q2 وخلصتالـ Q2 كيف بدك تجيبها؟ + +457 +00:39:46,820 --> 00:39:52,600 +بيجيبك تجيب V1 و V2 عشان تطبق هدول عشان تطبق هدول + +458 +00:39:52,600 --> 00:39:55,400 +في متعلقة كيف .. اذا اتطلقت اللي موجودين + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/j8f3jyxPt28_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/j8f3jyxPt28_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..c876eea3aae565f54e1947d45bce8f0dc02c5bcc --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/j8f3jyxPt28_raw.srt @@ -0,0 +1,1860 @@ +1 +00:00:20,870 --> 00:00:26,790 +تمام احنا اوقفنا عند المثال 4.7 اللي بيقول لي في + +2 +00:00:26,790 --> 00:00:32,310 +عندي linear dielectric material sphere of radius + +3 +00:00:32,310 --> 00:00:35,090 +capital A linear يعني ايش معناه linear عشان يقول + +4 +00:00:35,090 --> 00:00:37,630 +لي والله العلاقة تبعت اللي هي بتقول ال + +5 +00:00:37,630 --> 00:00:43,810 +polarization بتسوء y0 chi في E ثابت المفعول مش + +6 +00:00:43,810 --> 00:00:48,370 +اكتر حلو تمام find the potential inside and + +7 +00:00:48,370 --> 00:00:53,260 +outside the sphereطبعا واضح من طبيعة السؤال زي ما + +8 +00:00:53,260 --> 00:00:56,840 +كان مثال سابق كان conductor إذا كنتوا ذاكرين + +9 +00:00:56,840 --> 00:01:02,690 +conductor حطته في مجال أصليلما يكون conductor هنا + +10 +00:01:02,690 --> 00:01:07,030 +مسموح يكون في مجال جوا؟ لا تمام كان Zero وبالتالي + +11 +00:01:07,030 --> 00:01:11,230 +احنا قلنا في المنطقة هذه صار في تشويه للمجال + +12 +00:01:11,230 --> 00:01:15,730 +الكهربائي Deformed لكن أبعد عن القرى المجال بيظله + +13 +00:01:15,730 --> 00:01:21,190 +مجال اللي هو الأصلي تمام انا بدي المجال هنا و هنا + +14 +00:01:21,190 --> 00:01:28,600 +برا جوا و برا طبعافهنا وهنا فش رو وبالتالي لبلاس + +15 +00:01:28,600 --> 00:01:33,620 +ال equation سرية المفعول والحل تبعي بيكون كالتالي + +16 +00:01:33,620 --> 00:01:38,680 +انا عندي AL + +17 +00:01:38,680 --> 00:01:50,540 +R أس L plus BL R أس L plus 1 PL هذا V in طب V out + +18 +00:01:50,540 --> 00:01:56,630 +نفس الحل V outلسا وصلنا إيش؟ خلّيني أقول A L شرطة + +19 +00:01:56,630 --> 00:02:05,950 +R أوص L plus B L شرطة على R L plus 1 بي L هاي + +20 +00:02:05,950 --> 00:02:11,990 +الحليلة أكم ثابت عندك عندي أربع مجموعات من الثوابت + +21 +00:02:11,990 --> 00:02:17,770 +عندي مجموعة ال A's كلها ومجموعة ال B's مجموعة ال + +22 +00:02:17,770 --> 00:02:21,690 +A's شرطة و ال B's شرطة صح ولا لأ؟ هدول الثوابت + +23 +00:02:21,690 --> 00:02:26,600 +بحلهم من ال boundary conditionهذا له two boundary + +24 +00:02:26,600 --> 00:02:32,320 +conditions الـ0 والـR وهذا الـR والمناهية صحيح ولا + +25 +00:02:32,320 --> 00:02:36,920 +لأ؟ طيب، احنا عنا بعض الثوابط طبعا في بعض ال + +26 +00:02:36,920 --> 00:02:40,020 +condition بربط التنين مع بعض زي لما أقول V1 بيساوي + +27 +00:02:40,020 --> 00:02:46,960 +V2 وين؟ عالسطح وعندي A1n-A2n بيساوي سيجما + +28 +00:02:46,960 --> 00:02:50,260 +الـframe، مظبوط ولا لأ؟ دي واحد ان برضه هذا بربط + +29 +00:02:50,260 --> 00:02:52,740 +التنين فلما نيجي ال boundary condition اللي احنا + +30 +00:02:52,740 --> 00:02:58,020 +عارفينهمأول Poundar Condition بيقولي لما R بيسوي 0 + +31 +00:02:58,020 --> 00:03:02,120 +ال V in ممنوع يكون من النهاية .. ممنوع يكون من + +32 +00:03:02,120 --> 00:03:06,500 +النهاية .. حلو الشغلات التانية بيقولي عندي ال R .. + +33 +00:03:06,500 --> 00:03:09,240 +capital R مش مديني الجهود بس أنا بعرف أن ال V in + +34 +00:03:09,240 --> 00:03:12,540 +لازم يسوي V out صح ولا لأ؟ تمام .. ليه جينا + +35 +00:03:12,540 --> 00:03:16,980 +المنطقة اللي برا؟ بيقولي هل عند R قصته من النهاية + +36 +00:03:16,980 --> 00:03:23,580 +الجهود بيسوي 0؟ لأأصلا عند الـ A ملا نهاية ابعد + +37 +00:03:23,580 --> 00:03:30,500 +كتير برجع Uniform إذا as R goes to ملا نهاية E + +38 +00:03:30,500 --> 00:03:36,560 +اللي أدتني هيها E نوت باتجاه ال K طب أنت بتجيب ال + +39 +00:03:36,560 --> 00:03:40,800 +E ولا بتجيب ال V قاعد؟ بتجيب ال V عندك هادي .. + +40 +00:03:40,800 --> 00:03:47,500 +sorry هادي بسو سالب دل ال Vمازال هادى باتجاه الـ K + +41 +00:03:47,500 --> 00:03:50,900 +إذا صارت E not بالسوية سالب partial V على partial + +42 +00:03:50,900 --> 00:03:56,220 +Z بس عشان هادى باتجاه الـ K لما يعملها تصير V + +43 +00:03:56,220 --> 00:04:02,480 +بالسوية سالب E not بالZ ده الثابت معين هادى الشيء + +44 +00:04:02,480 --> 00:04:08,380 +R cos θ إذا هادى ال V عند المنى نهاية إذا عند ال V + +45 +00:04:08,380 --> 00:04:14,810 +من نهاية جاليالـ V إي نوت Z بلص ثابت أو إي نوت R + +46 +00:04:14,810 --> 00:04:20,130 +كوسين ثيتا بلص K طيب؟ ده لأن دي ثابت بالزمن إن دي + +47 +00:04:20,130 --> 00:04:25,770 +1N نقص دي 2N بتساوي Sigma Free طبعا، هل في Sigma + +48 +00:04:25,770 --> 00:04:29,150 +Free على الكورة؟ + +49 +00:04:29,150 --> 00:04:34,190 +Free مش اللي جاي من ال polarization، هدك بيسميها + +50 +00:04:34,190 --> 00:04:40,810 +Bound جالك الكورة مشحونة؟ إذا مافيش Freeهي free .. + +51 +00:04:40,810 --> 00:04:50,110 +free يقولك انت شحنت .. وين .. وين .. هو قالك .. + +52 +00:04:50,110 --> 00:04:57,950 +برا .. برا مافيش polarization أصلاأما الـ Bound + +53 +00:04:57,950 --> 00:05:00,890 +موجود داخل الكورة هي المادة الـ dielectric لأن + +54 +00:05:00,890 --> 00:05:05,210 +البرا فراخ ولكن ليس هناك polarization تمام؟ إذا + +55 +00:05:05,210 --> 00:05:09,710 +D1N نقص D2N بيساوي Zero معناته الـ Sigma فيه صفر + +56 +00:05:09,710 --> 00:05:14,630 +لأنه لم يكن يشحن الـ G2 تمام، نبدأ نشتغل هاي الـ + +57 +00:05:14,630 --> 00:05:19,370 +VIN و هاي الـ VR صح ولا لأ؟ أول شرط، ماذا يعمل في + +58 +00:05:19,370 --> 00:05:25,790 +هذا؟ ماذا يضيع؟ مسموح يكون من النهاية؟ماذا يسمى + +59 +00:05:25,790 --> 00:05:30,850 +كلمة يجعله ملا نهاية؟ هذا لأنه أنا لم أضع هنا صفر، + +60 +00:05:30,850 --> 00:05:34,530 +لماذا يصبح هذه جواب؟ ملا نهاية، إذن هذا كلمة + +61 +00:05:34,530 --> 00:05:40,410 +معقول، معناته هذا روح، + +62 +00:05:40,410 --> 00:05:45,990 +مظبوط؟ دلت عندنا الـA، خلصنا، تمام، هدول خليهم + +63 +00:05:45,990 --> 00:05:51,050 +واحدة واحدة، اتطلعش بقولي from the first condition + +64 +00:05:51,050 --> 00:05:57,320 +we conclude that B isالـ R0 كلهم ممنوع حد يظهر + +65 +00:05:57,320 --> 00:06:04,100 +بيقول له إذا هي EN صفّت AL R أُس L بيقل كسيني + +66 +00:06:04,100 --> 00:06:04,620 +الثيتر + +67 +00:06:07,130 --> 00:06:11,110 +لو المالة نهاية بيساوي Zero كان رايحني كان ضياء + +68 +00:06:11,110 --> 00:06:14,510 +اتهادة و خلّيني اتهادها لكن مع الأسف مش Zero طب + +69 +00:06:14,510 --> 00:06:18,170 +إيش بده أساويه؟ أعوض محله كيف أعوض محله؟ جديش + +70 +00:06:18,170 --> 00:06:23,970 +بيكون جلي عبارة عن E naught R cos θ بتساوي زي + +71 +00:06:23,970 --> 00:06:27,590 +الثابت .. الثابت أنا بتدخلي لسه في البداية هادي + +72 +00:06:27,590 --> 00:06:31,290 +طبعا لما أقول جثم المالة نهاية مع أنت تبتدعي بروح + +73 +00:06:31,290 --> 00:06:40,090 +بتدعي عندي AL R أس L PL شرطة طبعامظبوط يك سار؟ طيب + +74 +00:06:40,090 --> 00:06:45,190 +كيف بدي أجيب قيم AL؟ زي ما اتفقنا في عندي طريقة + +75 +00:06:45,190 --> 00:06:50,870 +أني بتضرف ب BL و كامل عشان تطلع هنا عندي delta ال + +76 +00:06:50,870 --> 00:06:56,970 +delta بتضيع ال summation فبصير عندي AL شرط R أس L + +77 +00:06:56,970 --> 00:07:04,190 +و هنا لما أضرف ال BL هذه بواحد وهذه بصفر صح ولا .. + +78 +00:07:05,480 --> 00:07:08,980 +بالتالي هيطلع عندك .. لو بعتبرها سفر مش مشكلة + +79 +00:07:08,980 --> 00:07:13,600 +هيطلع عندك فقط ا واحد و ا سفر و الباقي كله zero صح + +80 +00:07:13,600 --> 00:07:17,960 +ولا لا؟ طبعا في طريقة تانية ممكن انا اعملها اقول + +81 +00:07:17,960 --> 00:07:24,900 +كتالة from the third condition ناقص a note .. ال k + +82 +00:07:24,900 --> 00:07:28,180 +اعتبرها سفر برجعها كده بس انا اعتبرها zero اللي هي + +83 +00:07:28,180 --> 00:07:33,340 +ثابت تبع التكامل ده شايفين؟ a note z زائد kممكن + +84 +00:07:33,340 --> 00:07:37,800 +تحطه و ممكن تخليه يسافر لكن لو حطينا بيفرقش كتير + +85 +00:07:37,800 --> 00:07:45,020 +طلعوا إيش سويت أنا بدل ما أضرب بال بي ال شرطة و + +86 +00:07:45,020 --> 00:07:47,460 +أكامل و أجيب ال orthogonality و أقول delta و ضيق و + +87 +00:07:47,460 --> 00:07:53,000 +أغلب حالي قولت هذا ال term اللي إنت جيبتي ليه خد + +88 +00:07:53,000 --> 00:07:58,380 +منه term واحد حد إيش هو الحد؟ خد منه ال بتسوي واحد + +89 +00:08:00,280 --> 00:08:03,800 +لما قلت ايه اللي بيساوي واحد ايه واحد شرطة R أس + +90 +00:08:03,800 --> 00:08:09,000 +واحد R بي واحد كوسانتيتا وخلّي الباقية الترمات بس + +91 +00:08:09,000 --> 00:08:13,040 +ايه أخدت من هنا بيساوي واحد جالي اقارن بين طرفي + +92 +00:08:13,040 --> 00:08:19,160 +المعادلة هاي بي واحد وهاي بي واحد اذا بتقول ان اي + +93 +00:08:19,160 --> 00:08:25,520 +واحد شرطة بيساوي ناقص E not في ال R ولا لأ ان هو + +94 +00:08:25,520 --> 00:08:29,120 +التاني التاني بيساوي سفر + +95 +00:08:31,660 --> 00:08:36,160 +سأقوم بعمل سفر كله لأنك عندما تقارن عندك معادلة + +96 +00:08:36,160 --> 00:08:40,040 +كالتالية خلّيني أشوف الرياضية تبعتكم زمان a x + +97 +00:08:40,040 --> 00:08:46,980 +تربيع زائد b x تكعيب زائد c x زائد d بتساوي خمسة + +98 +00:08:46,980 --> 00:08:51,460 +زائد تلاتة x زائد اتنين x تربيع زائد خمسة x تكعيب + +99 +00:08:51,460 --> 00:08:56,180 +عندما تكون عندكم معادلة هكذا تقدروا تقولوا الـD + +100 +00:08:56,180 --> 00:09:05,500 +خمسة والـC تلاتةوالـ A2 و B5 صح ولا لأ؟ تتقارن + +101 +00:09:05,500 --> 00:09:10,140 +المعامل بمعامل وهذه نفس العملية بدل ال X B1 وB2 + +102 +00:09:10,140 --> 00:09:16,100 +وB3 وB4 وB5 هجيت هنا في بي واحد في هنا بي واحد فيه + +103 +00:09:16,100 --> 00:09:21,560 +قارنوها هنا في بعدين كل ال بيز فيك باله ماشي؟ إذا + +104 +00:09:21,560 --> 00:09:26,480 +كل ال بيز الباقين Zero تمام؟ مازلك ممكن أنا أدرف + +105 +00:09:26,480 --> 00:09:31,680 +في ال .. في ال orthogonality و أطلع التوابأذا من + +106 +00:09:31,680 --> 00:09:37,500 +هنا يقول R cos θ R cos θ إذا الـ A1 بيسوي سلب A0 + +107 +00:09:37,500 --> 00:09:44,100 +and E إلا شرطة بتسوي سفر كل الباقية for إلا تسوي + +108 +00:09:44,100 --> 00:09:54,140 +واحد اتفجنا؟ مجرد مقارنة بس عشان أنه يعني خلّيها + +109 +00:09:54,140 --> 00:10:03,900 +دي تعالوا إذا هاي V outVout أخدت بس A1 وكل الـ A + +110 +00:10:03,900 --> 00:10:13,160 +روحوا من هنا رجعنا A1 دلوا ها A1 وهذه R1 تمام أو + +111 +00:10:13,160 --> 00:10:16,840 +هذول طلبهم زي ما هم فـ A1 باتجاه الـ R عوضت في محل + +112 +00:10:16,840 --> 00:10:20,440 +الـ A0 و الـ P1 عبارة عن Cos فهذه Vout وهذه Vin + +113 +00:10:20,440 --> 00:10:26,880 +إذن Vin طلعت و Vout طلعت لو جهت طلعت على الـ A الـ + +114 +00:10:26,880 --> 00:10:34,740 +N Vin فيها إيه؟كلها بدياهم و ال out فيها ال bees + +115 +00:10:34,740 --> 00:10:38,120 +طبعا أصلا هم بيه شرطة لكن عشان مادلتش bees ممكن + +116 +00:10:38,120 --> 00:10:41,780 +تبقي ال game الشرطة مظبوط ولا لأ؟ طيب إذا إيش ضايل + +117 +00:10:41,780 --> 00:10:45,700 +عليها؟ أطلع ال as و ال bees ال as تعوني ال in و ال + +118 +00:10:45,700 --> 00:10:48,220 +bees تعوني ال out إيش في عندي دا ال boundary + +119 +00:10:48,220 --> 00:10:52,680 +condition؟ جالي V1 بيساوي V2 ولا لأ؟ V1 بيساوي V2 + +120 +00:10:52,680 --> 00:10:55,000 +وين؟ على السطح يعني مدينك تحط مكان اسمه ال R + +121 +00:10:55,000 --> 00:10:57,160 +capital R يلا + +122 +00:11:03,100 --> 00:11:08,860 +A in بتساوي A out في الـ A in مافيش إلا term واحد + +123 +00:11:08,860 --> 00:11:13,980 +قال لي خد بس لما إلا تساوي واحد طلعوا و الباقي إلا + +124 +00:11:13,980 --> 00:11:21,580 +تساوي واحد وهذه الـ A out جاهزة هذا ما هو ننساش + +125 +00:11:21,580 --> 00:11:25,660 +هذي إيش هذي بي واحد بقدر أطلع من هنا بي واحد ولا + +126 +00:11:25,660 --> 00:11:32,810 +مقدراش؟بقدر اطلع بي واحد طلع بي واحد بي واحد ارقص + +127 +00:11:32,810 --> 00:11:37,470 +تربيع بي + +128 +00:11:37,470 --> 00:11:42,210 +واحد اي كوسين ثيتا بي + +129 +00:11:42,210 --> 00:11:49,110 +واحد + +130 +00:11:49,110 --> 00:11:54,290 +ارقص تربيع بي واحد اي كوسين ثيتا بي واحد ارقص + +131 +00:11:54,290 --> 00:11:55,290 +تربيع بي واحد ارقص تربيع بي واحد ارقص تربيع بي + +132 +00:11:55,290 --> 00:11:55,290 +واحد ارقص تربيع بي واحد ارقص تربيع بي واحد ارقص + +133 +00:11:55,290 --> 00:11:55,290 +تربيع بي واحد ارقص تربيع بي واحد ارقص تربيع بي + +134 +00:11:55,290 --> 00:11:55,290 +واحد ارقص تربيع بي واحد ارقص تربيع بي واحد ارقص + +135 +00:11:55,290 --> 00:11:56,880 +تربيع بي واحد ارقص تربيع بي واحد ارقص تربيع بيوهنا + +136 +00:11:56,880 --> 00:12:05,180 +ناقص E note R زي بي واحد على R تربيع صحيح ولا لأ؟ + +137 +00:12:05,180 --> 00:12:14,940 +هذا بتسوي هذا and ال ال sorry R أس ال بتسوي بي ال + +138 +00:12:14,940 --> 00:12:23,790 +على R أس ال plus one هذه ال ده تسوي واحدمجرد + +139 +00:12:23,790 --> 00:12:29,390 +مقارنة بدل ما اضرب و اعمل طريقة شفتر تلاتة طيب، + +140 +00:12:29,390 --> 00:12:33,810 +ايش بدك انت؟ بدي A1 و B1 ولا لأ؟ طيب هذه المعادلة + +141 +00:12:33,810 --> 00:12:37,250 +الأولانية بتقدر تجيب فيها A1 و B1 ولا بدك كمان + +142 +00:12:37,250 --> 00:12:41,830 +معادلة؟ بدي كمان معادلة تربط الـ A1 و B1 و هناك + +143 +00:12:41,830 --> 00:12:45,870 +بدي كمان معادلة تربط الـ AL و الـ BL من وين اجيب + +144 +00:12:45,870 --> 00:12:49,670 +المعادلة؟ دلّك Poundary Condition اللي هو D1 N نقص + +145 +00:12:49,670 --> 00:12:56,590 +D2 N بالثوابة Sigma 3طبعا ال D يقول دي واحد ان نقص + +146 +00:12:56,590 --> 00:13:02,750 +دي اتنين ان بتساوي Zero هل ال D مربوطة بالجهود؟ ال + +147 +00:13:02,750 --> 00:13:06,150 +E المربوطة بالجهود لكن في عندك علاقة بتقول D + +148 +00:13:06,150 --> 00:13:13,070 +بيساوي Y في E ولا لأ؟أول حول الـD لـE و بعدين تقول + +149 +00:13:13,070 --> 00:13:18,490 +الـE بالساوية partial دل الـV تمام، إذا نقول هذه + +150 +00:13:18,490 --> 00:13:21,890 +المعادلات اللي كتبتها بس خليني أكتبها راجعت ما شاء + +151 +00:13:21,890 --> 00:13:26,030 +الله علينا أننا لوح واسع وبالتالي نكتب اللي بدنا + +152 +00:13:26,030 --> 00:13:32,050 +ياه ونحوشه هنا عشان ماضلاش اودي ال slides + +153 +00:13:32,050 --> 00:13:41,730 +إذا طلع عندي A1 بالساوية ناقص E0plus B1 على R + +154 +00:13:41,730 --> 00:13:54,310 +تكعيب and هذه معادلة رقم تلاتة و AL بتساوي BL على + +155 +00:13:54,310 --> 00:13:58,590 +R 2L plus 1 وهذه معادلة رقم أربعة بدي كمان معادلة + +156 +00:13:58,590 --> 00:14:01,770 +واحدة زي تلاتة و واحدة زي أربعة بحل كل ثوابتي صحيح + +157 +00:14:01,770 --> 00:14:06,190 +ولا لأ تمام ايه نطلعيقول from the fourth condition + +158 +00:14:06,190 --> 00:14:11,690 +دي واحد in نخس دي اتنين in ايش عمليت؟ الدي واحد in + +159 +00:14:11,690 --> 00:14:16,310 +قولت عبارة عن ابسلون واحد in نخس ابسلون نوت اتنين + +160 +00:14:16,310 --> 00:14:21,830 +in على اساس انا المفروض هادي ابسلون نوت وهادي + +161 +00:14:21,830 --> 00:14:27,250 +ابسلون لأ لأ لأ لأ الواحد هو الخارج والتاني هو + +162 +00:14:27,250 --> 00:14:32,270 +الداخل فبتكون الخارج ابسلون نوت فمفروض هادي + +163 +00:14:32,270 --> 00:14:33,570 +الابسلون نوت وهادي الابسلون + +164 +00:14:36,770 --> 00:14:42,850 +تمام لان احنا بنعتبر هو احداك الموجب مش مشكلة اذا + +165 +00:14:42,850 --> 00:14:49,870 +sigma free اه هنا ضابط انا معايا هنا ضابط لما حورت + +166 +00:14:49,870 --> 00:14:53,470 +ال out و ال in صح صح عليها لان ال epsilon note على + +167 +00:14:53,470 --> 00:14:58,830 +out صحيح و ال epsilon على ال in و السالم و طبعا في + +168 +00:14:58,830 --> 00:15:02,830 +نهايته ساوي zero لان مافيش عندي sigma free لان + +169 +00:15:02,830 --> 00:15:05,190 +اللي برا هو الفراغ و اللي جوا هو ال dielectric + +170 +00:15:05,190 --> 00:15:11,680 +windالأولى صح؟ ليش؟ الواحد in .. الواحد in يعني + +171 +00:15:11,680 --> 00:15:15,040 +اللي .. بتبقى اللي برا لها انت لما جيتش تشتغل نهر + +172 +00:15:15,040 --> 00:15:22,800 +ماهي السلم طلعته كله طلّحوا طلّع السلم لأ لأ هنا + +173 +00:15:22,800 --> 00:15:27,020 +خطأ أنا بذكر كيف اشتقنا ال boundary condition صحيح + +174 +00:15:27,020 --> 00:15:33,110 +طبعاالـ V out هدوّاك الـ V in في الصفحة اللي جابله + +175 +00:15:33,110 --> 00:15:37,290 +بقدر أشتق بالنسبة لل R ولا بقدرش أشتق؟ طبعا تنسوش + +176 +00:15:37,290 --> 00:15:41,630 +أنها صح صح يا بنات ليش أنا كاتب R؟ مش كاتب Normal + +177 +00:15:41,630 --> 00:15:46,510 +عشان مافيش فيتا تمام بشتق بالنسبة لل Normal فقط + +178 +00:15:46,510 --> 00:15:55,130 +حلو فتقدر تشتق هذه بالنسبة لل R؟ طب و ال V in بقدر + +179 +00:15:55,130 --> 00:16:00,190 +أشتقه التنتيهب بقدر أشتقهإشتقاق بسيط جدا إشتققت + +180 +00:16:00,190 --> 00:16:06,250 +طلعت هكذا هذا إشتقاق بالنسبة للـ R إشتققت الـ In و + +181 +00:16:06,250 --> 00:16:13,530 +إشتققت الـ Out كمان + +182 +00:16:13,530 --> 00:16:15,030 +مرة عشان أعمل مقارنة + +183 +00:16:18,360 --> 00:16:22,120 +الـ P term هي فالك لحاله شايفين هو الـ P term فالك + +184 +00:16:22,120 --> 00:16:27,780 +لحاله؟ إيه جنبه؟ Cos θ P1 P1 إذا معناته بيقوللي + +185 +00:16:27,780 --> 00:16:30,660 +عشان تعمل مقارنة صح طلعلي من هنا P1 و طلعلي من هنا + +186 +00:16:30,660 --> 00:16:40,040 +P1 صح ولا لأ؟ فلما طلعت P1 حليني أعملها أول هذه + +187 +00:16:40,040 --> 00:16:46,790 +طلعتأنا مش ساعدين، كاين هذي إيه لما أشوفها إيه؟ + +188 +00:16:46,790 --> 00:16:53,880 +هذي ال في إذا إبسلون على إبسلون North فيههذه L لما + +189 +00:16:53,880 --> 00:16:59,880 +تكون L بيكون واحد واحد هاي ايه واحد؟ R خلصنا بيكو + +190 +00:16:59,880 --> 00:17:04,880 +صين فيتا زائد أبسلون على أبسلون نوت summation L من + +191 +00:17:04,880 --> 00:17:11,460 +صفر .. sorry ذات يسوى one لما أنا نهاية L L R L + +192 +00:17:11,460 --> 00:17:18,400 +ناقص واحد ب L بتسوى ناقص E نوت كوصين الثيتا ناقص + +193 +00:17:18,400 --> 00:17:29,000 +بتاخد واحد هنا تصير اتنينعلى r تلاتة بواحد cosine + +194 +00:17:29,000 --> 00:17:35,760 +of theta ناقص ال summation L plus one R L plus + +195 +00:17:35,760 --> 00:17:44,500 +اتنين PL هنا في PL L plus one تمامبدي اعمل مقارنة + +196 +00:17:44,500 --> 00:17:48,660 +هل جيت؟ بدي اعمل مقارنة بيقول لي cosine theta + +197 +00:17:48,660 --> 00:17:53,840 +cosine theta و cosine theta فصارت epsilon على + +198 +00:17:53,840 --> 00:18:00,820 +epsilon note A1 بيسوي ماقس E note ماقس 8 B1 على R + +199 +00:18:00,820 --> 00:18:08,440 +تكعيب صح ولا لأ؟ and epsilon على epsilon noteالـ + +200 +00:18:08,440 --> 00:18:17,540 +ALR الناقص واحد بتساوي ناقص + +201 +00:18:17,540 --> 00:18:22,960 +L plus one على R L plus اتنين ب L + +202 +00:18:26,100 --> 00:18:30,060 +المعادلات اللي بدكياهم جبتهم هي علاقة بتربط A1 و + +203 +00:18:30,060 --> 00:18:34,960 +B1 و علاقة بتربط AL و BL كمان واحدة غير هدول عشان + +204 +00:18:34,960 --> 00:18:40,960 +نقدر نشر عنهم فبعد ما جبت انا هدول طلعت epsilon R + +205 +00:18:40,960 --> 00:18:43,280 +هدول epsilon على epsilon not هي epsilon R لان هذه + +206 +00:18:43,280 --> 00:18:47,780 +epsilon R في epsilon not فepsilon R في A1 بيسوي + +207 +00:18:47,780 --> 00:18:53,710 +ناقص E0 في 2B1 على R تكعيب هذه دلوقتيماعرفش إيش + +208 +00:18:53,710 --> 00:19:02,090 +مكتوبة عينكم هذه خمسة and epsilon R L L R أُس L + +209 +00:19:02,090 --> 00:19:08,570 +minus one بس لو سالف L plus one صحيحة هدول + +210 +00:19:08,570 --> 00:19:13,570 +أقدر أمحيهم لأنهم هم نفسهم اتطلعوا عند هدول + +211 +00:19:13,570 --> 00:19:17,530 +معادلتين اتطلعولي + +212 +00:19:17,530 --> 00:19:22,280 +معادلة خمسة و معادلة تلاتةمعادلة خمسة ومعادلة + +213 +00:19:22,280 --> 00:19:27,600 +تلاتة بقدر أجيب منها B1 وA1 ولا لأ؟ اه لأن عوضه + +214 +00:19:27,600 --> 00:19:32,260 +محال A1 هادي بيظهر عندك المجهول الوحيد B1 ونفس + +215 +00:19:32,260 --> 00:19:37,200 +العملية ستة وأربعة صح ولا لأ؟ إذا من هدول + +216 +00:19:37,200 --> 00:19:45,240 +المعادلتين طلع عندي هدا هي فطلعت B1 ومنها طلعت A1 + +217 +00:19:45,240 --> 00:19:47,140 +طيب + +218 +00:19:49,400 --> 00:19:54,260 +أربعة أو ستة ما طلعت عندي معادلة طلعت عندي هذه + +219 +00:19:54,260 --> 00:20:00,680 +المعادلة كيف بدي أجيب بيه إلي؟ طلعت في شغل سهلة + +220 +00:20:00,680 --> 00:20:09,600 +هنا طلعت على الجوس أول حاجة هدا A في B بيساوة سفر، + +221 +00:20:09,600 --> 00:20:16,280 +إيش بيقول هذه؟ طب لو قلتي لك A مش سفر؟ حل، طلعوا + +222 +00:20:16,280 --> 00:20:22,980 +لي على الجوسYR ذاكرينه ممكن يكون سالب؟ لأ أكبر من + +223 +00:20:22,980 --> 00:20:28,860 +واحد طيب و ال L تبدأ من Zero و تطلع؟ مافي سوالب هل + +224 +00:20:28,860 --> 00:20:33,040 +ال goals في مجال أن يكون Zero؟ لأ بل بل بل بل بل + +225 +00:20:33,040 --> 00:20:36,660 +بل بل بل + +226 +00:20:36,660 --> 00:20:40,940 +بل بل + +227 +00:20:40,940 --> 00:20:43,800 +بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل + +228 +00:20:43,800 --> 00:20:43,800 +بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل + +229 +00:20:43,800 --> 00:20:43,800 +بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل + +230 +00:20:43,800 --> 00:20:43,800 +بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل بل + +231 +00:20:43,800 --> 00:20:52,050 +بل بل بل بمعناته فقط طلعت A1 وB1 والباقي روحوا إذا + +232 +00:20:52,050 --> 00:20:56,610 +الحل خلص ساعتها بيقول ليه But the term between the + +233 +00:20:56,610 --> 00:21:00,490 +brackets cannot be zero إذا BL بالسوء AL بالسوء + +234 +00:21:00,490 --> 00:21:05,510 +Zero for L not equal to one وبالآخر طلعت V in + +235 +00:21:05,510 --> 00:21:13,300 +وطلعت V out طلعت V in وطلعت V outزي ما بده طبعا + +236 +00:21:13,300 --> 00:21:20,120 +هاد يخلص السؤال لكن خلينا لو قللي اوجد المجال اوجد + +237 +00:21:20,120 --> 00:21:23,120 +المجال اتطلعولي ع الجهود ع ايش باعتمد؟ طبعا مثلا + +238 +00:21:23,120 --> 00:21:27,700 +انتوا ملاحظين اركوسيا في تحطت محلها Z صح؟ تقدروا + +239 +00:21:27,700 --> 00:21:32,460 +تقولوا الجهود هيعتمد على Z ولا لأ؟ طيب لو جيت بدي + +240 +00:21:32,460 --> 00:21:38,360 +اجيب المجال هنا وقولت بيساوي سالب دليل V كيف بيطلع + +241 +00:21:38,360 --> 00:21:42,890 +تجاه المجال؟بارشع على بارشع X قداش؟ و بارشع على + +242 +00:21:42,890 --> 00:21:48,370 +بارشع Y؟ إذا بتجاه ال K إذا المجال الجوه باتجاه ال + +243 +00:21:48,370 --> 00:21:51,510 +K إنتوا ملاحظين الرسمة اللي أنا جيبناها و شحطناها + +244 +00:21:51,510 --> 00:21:56,290 +جاهزة شايفين كيف المجال مقاطعة تتجاهه؟ إذا هو + +245 +00:21:56,290 --> 00:21:59,870 +رسمها مش عبطا لأن هو حل السؤال قبل و طلع عند + +246 +00:21:59,870 --> 00:22:05,510 +المجال جوه كيف تجاهه؟ تجاه ال Z تمام؟ طيب إيش اللي + +247 +00:22:05,510 --> 00:22:10,360 +خلى المجال هيك؟أحنا هذه الـ dielectric material + +248 +00:22:10,360 --> 00:22:16,360 +خلّيني أرسمها هنا هذه كرة حطتها في مجال أصلي اللي + +249 +00:22:16,360 --> 00:22:21,120 +هو in water إيش هنا صار؟ polarization صار عندك + +250 +00:22:21,120 --> 00:22:24,540 +شحنات سالبة هنا و شحنات موجبة هنا صار في عندك مجال + +251 +00:22:24,540 --> 00:22:29,760 +هيك هجت إيه الكلية هذه؟ هي هذه زي هذه صح ولا لأ؟ + +252 +00:22:29,760 --> 00:22:35,020 +تمام طبعا لو هذا بيسوي هذا في القندق تلبسه يزيله + +253 +00:22:35,020 --> 00:22:41,380 +ال net طيبالـ Polarization مش بتسوي E Note كاي في + +254 +00:22:41,380 --> 00:22:47,550 +الـ E حاجتها دي E لبرا ولا لجوة؟اللي جوا، لأنه برا + +255 +00:22:47,550 --> 00:22:51,750 +مافيش polarization أصلا هذه E هي هذه نخص هذه الـ + +256 +00:22:51,750 --> 00:22:55,530 +electric field صح ولا لأ؟ طيب لو جبتلك ال + +257 +00:22:55,530 --> 00:22:59,510 +polarization بتجيبه أنا جبت ال EN ولا لأ؟ هاي ال + +258 +00:22:59,510 --> 00:23:03,070 +EN، طب و جبناها بتقدر تجيبلي ال polarization؟ + +259 +00:23:03,070 --> 00:23:07,230 +بقوله بقدر أجيبلك ساعتها بتقدر تجيبلي sigma pound + +260 +00:23:07,230 --> 00:23:14,880 +و rho pound ولا بتقدرش؟ بقدر صح ولا لأ؟ تمامطبعا و + +261 +00:23:14,880 --> 00:23:20,420 +لازم تطلع معاك النتيجة انه sigma مش ثابتة فوق غير + +262 +00:23:20,420 --> 00:23:27,100 +عن تحت لان فوق هتكون بوجب تحت سلبة يعني لازم تطلع + +263 +00:23:27,100 --> 00:23:36,160 +شغلة في cosine ال theta cosine ال theta كيف؟ + +264 +00:23:36,160 --> 00:23:38,000 +مش معايش + +265 +00:23:42,660 --> 00:23:46,420 +طب ليش تعملوا اجتماع قبل 11؟ احنا قاموناش نعمل + +266 +00:23:46,420 --> 00:23:50,880 +اجتماع في المحاضرات لأ + +267 +00:23:50,880 --> 00:23:55,880 +طب + +268 +00:23:55,880 --> 00:23:58,500 +ليش اجتماع عني لو ما يسمو حاجة في وقت الفرق؟ مش + +269 +00:23:58,500 --> 00:24:07,680 +عنكم فراغ؟ ال 11؟ ال 11 مش عنكم طيب + +270 +00:24:07,680 --> 00:24:08,040 +اطلع + +271 +00:24:12,780 --> 00:24:17,060 +تمام اذا انا بقدر اقول ان ال P مفروض يكون as a + +272 +00:24:17,060 --> 00:24:22,640 +function of θ فزي ما خلصت انا عند هنا بعد ما جيبت + +273 +00:24:22,640 --> 00:24:26,320 +V in و V out to find the electric field جبت المجال + +274 +00:24:26,320 --> 00:24:31,540 +ال N طلعت معايا زي ما اتوقع باتجاه ال Z note that + +275 +00:24:31,540 --> 00:24:34,260 +for a conductor جداش لازم المجال يكون في ال + +276 +00:24:34,260 --> 00:24:38,110 +conductor؟ Zeroاللي كنت بكتر YR بيساوم من النهاية + +277 +00:24:38,110 --> 00:24:42,390 +فهدع من النهاية فجايز يطلع Zero إذا صح السؤال و + +278 +00:24:42,390 --> 00:24:47,990 +بيعمل موائمة عليها This field is the net electric + +279 +00:24:47,990 --> 00:24:51,690 +field inside the sphere. It is the sum of the + +280 +00:24:51,690 --> 00:24:54,690 +external electric field E0 and the electric field + +281 +00:24:54,690 --> 00:24:58,510 +due to the polarization بمعنى أخر E ان هدا هو E + +282 +00:24:58,510 --> 00:25:01,630 +الخارجي زائد E اللي جاي منه ال polarization + +283 +00:25:04,520 --> 00:25:09,080 +اللي طلعناها هذي بتساوي E نوت الاصلية ذات E اللي + +284 +00:25:09,080 --> 00:25:11,680 +إجت من ال polarization دم حاجة الدليلة تمام؟ + +285 +00:25:11,680 --> 00:25:15,320 +بالتالي لو بدي أجيب E اللي إجت من ال polarization + +286 +00:25:15,320 --> 00:25:21,680 +عبارة عن E نقص E نوت E N اللي جبته مظبوط ولا لا؟ + +287 +00:25:21,680 --> 00:25:25,600 +تمام وإيه .. لو يجيب منها أطلع معايا بهذا النتيجة + +288 +00:25:25,600 --> 00:25:29,740 +طلعناها which is the opposite to the external + +289 +00:25:29,740 --> 00:25:37,780 +electric field it's opposite هي طبعا صحيحتمام يعني + +290 +00:25:37,780 --> 00:25:43,460 +EP بيسوي سلب E0 for a conductor يبسلون R جوزته من + +291 +00:25:43,460 --> 00:25:50,160 +النهاية لما تكون هادي كبيرة هدول بيروحوا بيصير + +292 +00:25:50,160 --> 00:25:54,780 +هادي على هادي روح هات بيصير سلب E0 بنرجع بنقول هذا + +293 +00:25:54,780 --> 00:25:58,980 +بيسوي هذا ف ال net electric field inside a + +294 +00:25:58,980 --> 00:26:02,180 +conductor must be zero وهذا الكلام اللي حاكيناه + +295 +00:26:02,180 --> 00:26:07,620 +زمانfor the outside region طلعنا هذا هو الـ + +296 +00:26:07,620 --> 00:26:11,460 +outside region طلع إيش طلع معايا E note باتجاه الـ + +297 +00:26:11,460 --> 00:26:14,660 +z بعد ما اشتقت بالنسبة لR و فيتا E note باتجاه الـ + +298 +00:26:14,660 --> 00:26:22,520 +z زائد هذا هذا الأصلي وجود القوة ضفلك هذا term + +299 +00:26:22,520 --> 00:26:25,600 +تطلعوا هذا term عندما نهيأ إليه تأثير + +300 +00:26:29,450 --> 00:26:33,110 +لأن في المقاطع اسمه R هذا بالدل على أن التغيير + +301 +00:26:33,110 --> 00:26:36,090 +وانتم بس في المنطقة اللي حوالي الكورة ابعد عن + +302 +00:26:36,090 --> 00:26:39,030 +الكورة كتير، هذا ال term ما بطل يلقى تأثير ارجعنا + +303 +00:26:39,030 --> 00:26:44,030 +أن R goes تماما لنهاية، المجال هو E0 تمام، طيب، مش + +304 +00:26:44,030 --> 00:26:47,050 +هذه المجال هو المجال اللي إجا من ال polarization + +305 +00:26:47,050 --> 00:26:51,710 +الأصل؟ صح؟ طب هذه لما صارها polarization مش عبارة + +306 +00:26:51,710 --> 00:26:56,130 +عن ديبولات؟ ديبولات، طب أنا مجال الديبول أخدته في + +307 +00:26:56,130 --> 00:27:03,240 +شقطر 3خلّينا نعمل مقارنة it is clear that the + +308 +00:27:03,240 --> 00:27:07,340 +second term of the last equation is the field due + +309 +00:27:07,340 --> 00:27:11,480 +to the polarization of the sphere تمام recalling + +310 +00:27:11,480 --> 00:27:15,660 +equation twenty سفر of شبطر تلاتة شبطر تلاتة + +311 +00:27:15,660 --> 00:27:20,040 +أديتكم من مجال لضيبول جلّي المجال لضيبول أيامها + +312 +00:27:20,040 --> 00:27:23,280 +هيك كان بيساوي أنا طلعت على شبطر تلاتة وجبت هذه + +313 +00:27:23,280 --> 00:27:27,640 +المعادلة وطلعت عليها هي لجيت الجث نفس الجثصح ولا + +314 +00:27:27,640 --> 00:27:32,880 +لأ؟ الجثة نفس الجثة هنا في P و هنا ارتكاب هنا في + +315 +00:27:32,880 --> 00:27:38,200 +ارتكاب معناته كل هذا هو small P هذي دايبو المومنت + +316 +00:27:38,200 --> 00:27:43,860 +هذي دايبو المومنت الصغيرة بتجرب للكبيرة الكبيرة هي + +317 +00:27:43,860 --> 00:27:52,140 +الصغيرة على الحجم و الحجم هو 4 ع 3 by ارتكاب بقدر + +318 +00:27:52,140 --> 00:27:55,220 +من هذه الملاحظة او المقارنة اجيب ال polarization + +319 +00:27:55,220 --> 00:27:59,170 +تحت المادةأنا قلت الـ polarization بجيبه من هذه + +320 +00:27:59,170 --> 00:28:03,490 +هذه طريقة وهذه طريقة كمان بجيب ال polarization هذه + +321 +00:28:03,490 --> 00:28:05,950 +ال polarization جبتها الذاكرين وقلنا ان هذه EN + +322 +00:28:05,950 --> 00:28:11,170 +وجبتها وقال لصير طب عمل مقارنة شوف حالك صح ولا لأ + +323 +00:28:11,170 --> 00:28:15,330 +اعملناها this EB is due to the dipole with the + +324 +00:28:15,330 --> 00:28:17,170 +dipole moment وهذه ال dipole moment وهذه ال + +325 +00:28:17,170 --> 00:28:20,170 +polarization جسبت على الحجر نفس ال polarization + +326 +00:28:20,170 --> 00:28:26,250 +اللي جبتها تبعة ال E ليه من هذه هي نفسهاالان + +327 +00:28:26,250 --> 00:28:29,110 +باستخدام السؤال 16 وهي هادي وهي ال polarization + +328 +00:28:29,110 --> 00:28:33,290 +إذا أنا جبتها من معادلتين نفس النتيجة ولا لأ؟ نفس + +329 +00:28:33,290 --> 00:28:39,770 +النتيجة هذه ال polarization طيب بدي رو بي هل جيه؟ + +330 +00:28:39,770 --> 00:28:48,270 +مجدش رو بي؟ طب شوفي هاي ال B مفروض بستلع عليها + +331 +00:28:48,270 --> 00:28:53,650 +كمان مرة Zero ولا مش Zero ال + +332 +00:28:53,650 --> 00:28:58,150 +polarizations كان هادي ولا هادي؟هذا unit vector + +333 +00:28:58,150 --> 00:29:05,950 +ليس Z هذا K ثابت او ليس ثابت؟ ال polarisation ثابت + +334 +00:29:05,950 --> 00:29:14,270 +اذا كده هو باهم؟ Zero Zero طيب و Sigma P؟ + +335 +00:29:14,270 --> 00:29:21,180 +شية الان هنا هل جيت؟الـR الـR hat لأن ال surface + +336 +00:29:21,180 --> 00:29:27,480 +واحد الـP dot الـR معناته كوصين ثيتا كوصين ثيتا + +337 +00:29:27,480 --> 00:29:32,300 +إذا السيجما طلعت كوصين ثيتا زي ما أنا متوقع أنه + +338 +00:29:32,300 --> 00:29:37,440 +لازم تطلعش ثابتة نص علوي موجة بنص صفلي سالد فلما + +339 +00:29:37,440 --> 00:29:38,540 +جيت طلعتها + +340 +00:29:42,670 --> 00:29:46,150 +وهي نفس الشيء مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +341 +00:29:46,150 --> 00:29:52,930 +مثلًا مثلًا + +342 +00:29:52,930 --> 00:30:01,390 +مثلًا + +343 +00:30:02,060 --> 00:30:08,320 +كنا نقول سيجما او ثيتا بيساوي كيه كوصاين ثيتا، هل + +344 +00:30:08,320 --> 00:30:12,580 +ذاكرين هذا السؤال؟ كنا نقول كرة عالية على سطحها، + +345 +00:30:12,580 --> 00:30:16,100 +سيجما بيساوي كيه كوصاين ثيتا نهيئة، ماهو الـK؟ كل + +346 +00:30:16,100 --> 00:30:20,100 +هذا يعتبر كيه، + +347 +00:30:20,100 --> 00:30:24,440 +مظبوط او لا؟ إذا ممكن أحله بهذه الطريقة، ممكن أحله + +348 +00:30:24,440 --> 00:30:28,620 +بهذه الطريقة، و أحل السؤالIt is left as an + +349 +00:30:28,620 --> 00:30:35,660 +exercise to show + +350 +00:30:35,660 --> 00:30:39,380 +that EP can be found using the method of example 4 + +351 +00:30:39,380 --> 00:30:45,200 +.2 بس بدل الكيب تحط هذا ثابت with sigma gloat on + +352 +00:30:45,200 --> 00:30:51,060 +the surface of the sphere تمام في كمان مثال اه + +353 +00:30:51,060 --> 00:30:54,880 +انسيت انا احكي عن الامتحان انا كنت حابب تكتب + +354 +00:30:54,880 --> 00:31:00,190 +الامتحانبس أخلص و بنرجع الوقت فاكد أنا و الشباب + +355 +00:31:00,190 --> 00:31:13,770 +بيصلي نعمل confirmation عشان .. لأ + +356 +00:31:13,770 --> 00:31:17,550 +.. إذا طلعناها سيفر مستخدمهاش بس احنا طلعناها في + +357 +00:31:17,550 --> 00:31:19,250 +ال in مش مش في ال out دير بالك + +358 +00:31:27,370 --> 00:31:33,090 +لأ مش ال .. مش الأولى، مش ال N ال N مغنى .. كله، + +359 +00:31:33,090 --> 00:31:36,730 +high الأوت جسدها أول معدلة توتر، الحل في المعدلة + +360 +00:31:36,730 --> 00:31:41,230 +.. سنة شوية، نور كاملة، high المعدلات ال condition + +361 +00:31:41,230 --> 00:31:44,810 +التالت لما استخدمنا .. ال condition التالت، سنة يا + +362 +00:31:44,810 --> 00:31:50,390 +أمان، ويا أمي ال condition التالت اش بيقول form + +363 +00:31:50,390 --> 00:31:55,410 +the third condition؟ طلعت، مين جالك ال B بالSouth + +364 +00:31:55,410 --> 00:32:00,640 +Africa؟ وينها؟لما عوضت مش فتسيب B على مالة نهاية + +365 +00:32:00,640 --> 00:32:04,500 +Zero ماصلش سفر عشان الـB السفر عشان الارض في + +366 +00:32:04,500 --> 00:32:08,780 +المقام ماحكيش انه صرت بي سفر انه خلصت الـT مروح + +367 +00:32:08,780 --> 00:32:12,500 +لما عوضت محل الـT مروح بس هل هذا يعني انه بي + +368 +00:32:12,500 --> 00:32:18,680 +السفر؟ يعني ان انت لو قلت كلمة يقولك كلمة تانية X + +369 +00:32:18,680 --> 00:32:25,460 +في B بالساوية كذا معينة تمام؟ حرجت هذه F بالساوية + +370 +00:32:25,460 --> 00:32:32,660 +X في Bلما X يصير صفر، كده F؟ هل هذا يعني أن B صفر؟ + +371 +00:32:32,660 --> 00:32:38,840 +هل هذا يعني أن B صفر؟ لأ، لكن لما تعوضي، بتبين بي؟ + +372 +00:32:38,840 --> 00:32:42,580 +لما تعوضي لما حال X بالصفر صفر، مش ان كنتي اللي F + +373 +00:32:42,580 --> 00:32:45,880 +الصفر صفر، عوضي X بالصفر صفر، تتنقل F بالصفر صفر، + +374 +00:32:45,880 --> 00:32:48,840 +راح كل ال term، لكن هذا لايعني أن B بالصفر صفر، + +375 +00:32:48,840 --> 00:32:54,280 +فإن لما عوضت، ال term تبع B صار صفر، لأن ال R هي + +376 +00:32:54,280 --> 00:32:59,030 +العوضت عنها، مش ال B'sطبعا انا قاعد بجيب هو ال V + +377 +00:32:59,030 --> 00:33:03,010 +out هو كان في A و B و لا فيش V A و V B لما جيت + +378 +00:33:03,010 --> 00:33:05,990 +اطبخ المعادل اللي كنتش انتقلت ايه جالي؟ جالي أرقص + +379 +00:33:05,990 --> 00:33:09,010 +و مانا نهاية لما عوّضت بحالة أرقص و مانا نهاية تام + +380 +00:33:09,010 --> 00:33:13,610 +اللي مجب بي لغى بي لغى طيّر من المعادل لكن ماخلّاش + +381 +00:33:13,610 --> 00:33:17,750 +.. ماجلّش انه بيتسفر وبالتالي لما رجعت انا جبت ال + +382 +00:33:17,750 --> 00:33:22,170 +A's لكن لما رجعت في ال I V out رجعته لأنه ماجبتوش + +383 +00:33:22,170 --> 00:33:29,400 +اناهذا for every R الأول لما أرجس من هنا بطير فانت + +384 +00:33:29,400 --> 00:33:36,500 +عليا؟ هاي سؤالك اه؟ نشوف .. اه نشوف هالسؤال بيقول + +385 +00:33:36,500 --> 00:33:41,640 +لي .. خلي الرسمة the entire region below the plane + +386 +00:33:41,640 --> 00:33:45,880 +هذا الأزرق .. الأخضر تحت كله dielectric material + +387 +00:33:45,880 --> 00:33:54,440 +تمام؟ حلوof susceptibility guy calculate the force + +388 +00:33:54,440 --> 00:33:59,680 +on a pointed charging cube situated a distance d + +389 +00:33:59,680 --> 00:34:02,860 +above the plane بيقول يالي أداش القوة اللي على + +390 +00:34:02,860 --> 00:34:06,900 +هادي إيش بتخلي هادي يصيح عليها قوة بقول هادي بتولد + +391 +00:34:06,900 --> 00:34:12,860 +مجال كلش أحنا بتولد مجال مالكم ليش بالعين كلش أحنا + +392 +00:34:12,860 --> 00:34:16,440 +بتولد مجال طب هادي مجال هادي إيش بيسويه في المادة؟ + +393 +00:34:17,130 --> 00:34:22,610 +بعمله polarization ما زال عمل polarization معناته + +394 +00:34:22,610 --> 00:34:26,870 +صار في عندك شحنات على السطح شحنات في الحجم هادت + +395 +00:34:26,870 --> 00:34:30,970 +أثرك في ال polarization و صار عليها قوة عشان تجيب + +396 +00:34:30,970 --> 00:34:38,090 +انت ال F اللي هاد تقدر تقول F بيساوي Q في E صح ولا + +397 +00:34:38,090 --> 00:34:44,740 +لا؟ طب إيه ده؟ عند أي نقطة؟ ده كتجيبهاللي عندك U + +398 +00:34:44,740 --> 00:34:49,240 +اللي عندك U برا طب هذي ايه من وين جاى؟ هذي ايه جاى + +399 +00:34:49,240 --> 00:34:52,160 +من ال polarization طب ال polarization كيف + +400 +00:34:52,160 --> 00:34:55,140 +اتعلمناه؟ قولنا ال polarization ما تعلمتوني غيره + +401 +00:34:55,140 --> 00:35:00,740 +واستبدلوا اما ب Sigma B او رو بي صح؟ طيب لو by + +402 +00:35:00,740 --> 00:35:07,240 +chance طلعت رو بي صفر ايش ده؟ Sigma B معناته هذه E + +403 +00:35:08,290 --> 00:35:12,870 +هي اللي جاية من الشحنات الـ Sigma P اللي هال صح + +404 +00:35:12,870 --> 00:35:16,270 +ولا لا Sigma P اللي هال ماعندي قانون بيقول E + +405 +00:35:16,270 --> 00:35:23,870 +بتساوي K تكامل DQ R script على R تكعيب صح ولا لا؟ + +406 +00:35:23,870 --> 00:35:30,270 +وهذه الـ A Sigma DS مظبوط ولا لا؟ لأنه Sigma طب + +407 +00:35:30,270 --> 00:35:37,010 +هذه Sigma من أين بقيت جيبها؟ Sigma P P ضد ال Nصح؟ + +408 +00:35:37,010 --> 00:35:42,270 +هذي بتساوي P ضد ال M إذا إيش بدك؟ بدي ال + +409 +00:35:42,270 --> 00:35:45,930 +polarization هي من وين بده يجيب ال polarization؟ + +410 +00:35:45,930 --> 00:35:51,070 +هذي بدي أرجع للمعادلة هذي صح ولا لأ؟ هذي ال + +411 +00:35:51,070 --> 00:35:56,060 +polarization إيش بدها؟ بدها E جواما هو أي من + +412 +00:35:56,060 --> 00:35:58,700 +المنطقة اللي بيصيرها polarization دي جوة بدي إيه + +413 +00:35:58,700 --> 00:36:03,180 +جوة؟ طب هدى إيه جوة؟ مش الـ net electric field + +414 +00:36:03,180 --> 00:36:07,520 +اللي خارجي زائد تبع ال polarization؟ الخارجي من + +415 +00:36:07,520 --> 00:36:11,100 +وين جاي؟ من الشحن الحمراء وهدى point of charge + +416 +00:36:11,100 --> 00:36:17,420 +بجيبه والداخلي جاي من السدمة صح ولا لأ؟ برضه بجيبه + +417 +00:36:17,420 --> 00:36:22,500 +إذا أنا بدي أجيب شخصية كتيرة عشان أقدر أحله طيب + +418 +00:36:22,500 --> 00:36:29,090 +قال لسنا شويةأخدت موضوع زمان اسمه الـ Image سمعتوا + +419 +00:36:29,090 --> 00:36:34,590 +فيه ولا لا؟ مبراو، زمان كانت هذه حلل ليها، لكن قال + +420 +00:36:34,590 --> 00:36:38,950 +لي أن هذه كنت أكتر و Grounded، صح؟ في هذه الحالة، + +421 +00:36:38,950 --> 00:36:42,210 +لو هذه كانت Grounded، يعني جهدها لازم يكون Zero، + +422 +00:36:42,210 --> 00:36:47,850 +قولت بيكون هذه إلى صورة هنا-Q على نفس البعد؟ ليش + +423 +00:36:47,850 --> 00:36:51,390 +قلت سالب كيو على نفس البعد أنا؟ عشان يطلع جهد Zero + +424 +00:36:51,390 --> 00:36:56,250 +على السطح، صح ولا لا؟ قالت طب ينفع تعمل image وقول + +425 +00:36:56,250 --> 00:37:00,090 +والله الأصل أنه ينفع لأنه إيش ال image؟ جالي جسم + +426 +00:37:00,090 --> 00:37:06,500 +شحنة وسطحالـ Condition تبعه معروف يستبدل بنفس + +427 +00:37:06,500 --> 00:37:11,080 +الشحنة و Image للشحنة صح؟ الـ Image مقدارها و + +428 +00:37:11,080 --> 00:37:14,220 +بعدها مين بيحدده؟ الـ Boundary Conditions صح ولا + +429 +00:37:14,220 --> 00:37:17,760 +لأ؟ هل الـ Boundary Condition اللي انا عندي ان V + +430 +00:37:17,760 --> 00:37:22,140 +بيساوي Zero؟ لأ طب فش Boundary Condition فيه؟ إيش + +431 +00:37:22,140 --> 00:37:26,800 +شبه الـ Boundary Condition؟ D1N مقص D2N بيساوي + +432 +00:37:26,800 --> 00:37:34,480 +Sigma V سمعتوا V؟ و V1 بيساوي V2طيب، هبقى انك + +433 +00:37:34,480 --> 00:37:38,420 +اشتغلت و قولتي الـ image هادى، بلاش سالب Q، + +434 +00:37:38,420 --> 00:37:43,880 +قولتكوا Q شرطة و قدرتي اطلعي Q شرطة و اطلعي بعضها + +435 +00:37:43,880 --> 00:37:47,540 +و بيدكي ال force، بقولي يا وردي خلصنا أف بالساوي K + +436 +00:37:47,540 --> 00:37:52,360 +Q واحد و Q اتنين على أرض اربعة سمحتوا في جهد + +437 +00:37:52,360 --> 00:37:57,020 +القانون؟ اذا بال image، بس ايش مشكلتي؟ بدي اجيب Q + +438 +00:37:57,020 --> 00:38:03,070 +شرطةصح ولا لأ؟ واجيب بعضها، واجيب بعضها، نفترض إنه + +439 +00:38:03,070 --> 00:38:09,030 +هذه البعض دي، إذا هذه إيش بتصير؟ اتنين دي تربية + +440 +00:38:16,510 --> 00:38:19,530 +وقتي شهادة .. صح صح .. صح .. صح .. صح .. صح .. صح + +441 +00:38:19,530 --> 00:38:20,290 +.. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. + +442 +00:38:20,290 --> 00:38:23,890 +صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح + +443 +00:38:23,890 --> 00:38:27,050 +.. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. + +444 +00:38:27,050 --> 00:38:27,210 +صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح + +445 +00:38:27,210 --> 00:38:27,910 +.. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. + +446 +00:38:27,910 --> 00:38:28,450 +صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح + +447 +00:38:28,450 --> 00:38:28,450 +.. صح .. صح .. صح .. صح .. صح .. صح .. صح .. صح .. + +448 +00:38:28,450 --> 00:38:33,350 +صح .. صح .. صح .. صح .. صح .. صح .. صح ..مقدارها + +449 +00:38:33,350 --> 00:38:36,550 +وموضوعها بيحدد ال boundary condition بس انا بقدر + +450 +00:38:36,550 --> 00:38:40,350 +اقول فيه image صح ولا لا هذه ال image انا اعتبرتها + +451 +00:38:40,350 --> 00:38:45,030 +Q2 التي هي Q شرطة هجيت نفترض انه بعضها دي نفترض + +452 +00:38:45,030 --> 00:38:50,320 +انه بعضها دي دل علي اجيب Q2تمام؟ كيف أجيب Q2؟ و + +453 +00:38:50,320 --> 00:38:53,400 +المشكلة تعاد في ال image عشان انا بدي أحله المرة + +454 +00:38:53,400 --> 00:38:55,820 +اللي جاي و تكون واضحة أنا هنا ال boundary + +455 +00:38:55,820 --> 00:39:01,840 +condition في التنين بده V1 و بده V2 و بده E1 و E2 + +456 +00:39:01,840 --> 00:39:06,740 +صح؟ في ال image أذكركم قلت لما بيحط ال image .. حط + +457 +00:39:06,740 --> 00:39:10,020 +في المنطقة اللي خارج نطاق المنطقة اللي بتحسب عندها + +458 +00:39:10,020 --> 00:39:14,720 +الجهود صح؟ نفترض أنه هي V1 و اين بتحط ال image؟ + +459 +00:39:14,720 --> 00:39:14,980 +هنا + +460 +00:39:25,440 --> 00:39:31,660 +الطريقة الأولى F مستوى Q في ال E E اتيت من Sigma P + +461 +00:39:31,660 --> 00:39:35,460 +بس مشكلة Sigma P لازم تجيبها بواسطة انك تجيب E + +462 +00:39:35,460 --> 00:39:41,560 +الأولى هي طريقة التانية بتعمل image اذا عملت image + +463 +00:39:41,560 --> 00:39:46,820 +هي قانونك بس جيبلي Q2 وخلصتالـ Q2 كيف بدك تجيبها؟ + +464 +00:39:46,820 --> 00:39:52,600 +بيجيبك تجيب V1 و V2 عشان تطبق هدول عشان تطبق هدول + +465 +00:39:52,600 --> 00:39:55,400 +في متعلقة كيف .. اذا اتطلقت اللي موجودين + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/mSsli_4yH6c.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/mSsli_4yH6c.srt new file mode 100644 index 0000000000000000000000000000000000000000..22dab65b80aa5a73f6a1d33196e2e5001e690e03 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/mSsli_4yH6c.srt @@ -0,0 +1,1834 @@ +1 +00:00:20,670 --> 00:00:24,350 +بسم الله الرحمن الرحيم، وهنبدأ اليوم البداية + +2 +00:00:24,350 --> 00:00:29,950 +الحقيقية للمادة، زي ما اتفقنا في الـ chapter الأول + +3 +00:00:29,950 --> 00:00:34,090 +الذي سيحتوي على المقدمة الرياضية، انحط تحت عنوان + +4 +00:00:34,090 --> 00:00:38,310 +vector analysis، زي ما أنتم شايفين. مع بداية كل + +5 +00:00:38,310 --> 00:00:42,570 +chapter أو مع كل chapter، سأحدد الأسئلة المهمة و + +6 +00:00:42,570 --> 00:00:47,530 +المطلوبة، منها أن نحلها. طبعاً طبيعة الأسئلة التي + +7 +00:00:47,530 --> 00:00:52,410 +نُواجهها إما أن تكون سهلة جداً، أو أن تكون صعبة كثيراً، أو + +8 +00:00:52,410 --> 00:00:55,970 +أن تكون مالهاش علاقة بالمواضيع المهمة تَبَعْتِنا. هذه هي + +9 +00:00:55,970 --> 00:01:02,280 +الأسئلة التي تهمنا، التي تركز على المواضيع ذات + +10 +00:01:02,280 --> 00:01:06,720 +الأهمية بالنسبة لمادتنا. الـ chapter تحت عنوان + +11 +00:01:06,720 --> 00:01:11,120 +vector analysis، لكنه سيحتوي على أكثر من كلمة vectors. + +12 +00:01:11,120 --> 00:01:17,000 +زي ما احنا اتفقنا، سيحتوي على كل المعلومات الرياضية التي + +13 +00:01:17,000 --> 00:01:22,450 +تُلزِم في هذا المقرر. تحديداً، لكن العنوان الذي يعتمد + +14 +00:01:22,450 --> 00:01:26,550 +في الكتاب هو الـ vector analysis. وبالتالي هذا هو + +15 +00:01:26,550 --> 00:01:32,170 +بداية الـ chapter. أول حاجة هنحكي عنها هي الـ vectors. + +16 +00:01:32,170 --> 00:01:38,180 +الـ vector algebra. الـ Vectors، زي ما اتفقنا، تتميز عن + +17 +00:01:38,180 --> 00:01:42,600 +الـ Scalars بأن الـ physical quantities are either + +18 +00:01:42,600 --> 00:01:47,100 +vectors or scalars. ما هو الـ vector؟ الكمية + +19 +00:01:47,100 --> 00:01:50,880 +الفيزيائية التي تحتاج إلى direction بالإضافة إلى الـ + +20 +00:01:50,880 --> 00:01:56,600 +magnitude. لما نقول خمسة نيوتن، لا يكفي، أنا هيك ما كنتش + +21 +00:01:56,600 --> 00:02:02,500 +أعرف القوة بصورة كاملة، لأن خمسة نيوتن، كيف تؤثر + +22 +00:02:02,500 --> 00:02:06,820 +عليّ بقوة؟ كيف أنزّح؟ كيف أجرّ؟ بالتالي، لابد أنك + +23 +00:02:06,820 --> 00:02:11,700 +تقول لي الـ direction تبعها. لما أقول displacement، تم + +24 +00:02:11,700 --> 00:02:17,140 +إزاحة الجسم ثلاثة أمتار، لكنك تتسائل ماذا حدث؟ طب + +25 +00:02:17,140 --> 00:02:20,860 +ثلاثة أمتار، وإلى أين ذهب هذا؟ هناك عدة خيارات، هيك + +26 +00:02:20,860 --> 00:02:25,700 +لا تكفي المعلومة أن تقول لي ثلاثة أمتار شرقاً، أو غرباً، أو + +27 +00:02:25,700 --> 00:02:31,020 +جنوباً، أو شمالاً. يختلف عن بعض، صحيح أم لا؟ إذن الـ + +28 +00:02:31,020 --> 00:02:36,340 +direction مهم في بعض الكميات الفيزيائية، والكميات + +29 +00:02:36,340 --> 00:02:40,760 +الفيزيائية التي أعتبرها vectors كثيرة. نعرف + +30 +00:02:40,760 --> 00:02:43,020 +منها الـ displacement، الـ velocity، الـ + +31 +00:02:43,020 --> 00:02:46,760 +acceleration، الـ force، الـ torque، الـ angular + +32 +00:02:46,760 --> 00:02:50,740 +momentum، الـ linear momentum، الكثير من الكميات المهمة في + +33 +00:02:50,740 --> 00:02:52,820 +الـ mechanics، عندنا الـ magnetic field، الـ + +34 +00:02:52,820 --> 00:02:57,060 +electric field، كل هذه vector quantities، + +35 +00:02:57,060 --> 00:03:01,060 +وبالتالي، أحتاج direction. لما نجيء نتعامل مع الـ + +36 +00:03:01,060 --> 00:03:06,020 +direction في البداية، هذا سهل، تريد direction، ها هي، + +37 +00:03:06,020 --> 00:03:10,160 +تريد ماذا؟ شرقاً أم غرباً؟ شرقاً، هذا هو، إذا السهم يكفي + +38 +00:03:10,160 --> 00:03:14,520 +أن يدلّ على الـ vectors، صحيح أم لا؟ جميل، هذا + +39 +00:03:14,520 --> 00:03:16,940 +مُبيّن. طب وأنا كيف سأكتب؟ وكيف سأتعامل مع الـ + +40 +00:03:16,940 --> 00:03:21,040 +vectors؟ إذن، لابد من طريقة غير طريقة الرسم، صحيح + +41 +00:03:21,040 --> 00:03:27,160 +أم لا؟ فقالوا: إذن، لابد من ربط هذا الـ vector بالـ + +42 +00:03:27,160 --> 00:03:30,100 +coordinates التي نتعامل معها. أنا لما أقول هذا + +43 +00:03:30,100 --> 00:03:35,340 +سينياً، طب صادياً، يعني فوق أو تحت. طب مائلاً، يعني + +44 +00:03:35,340 --> 00:03:40,700 +بين السيني والصادي. صار اعتماد شغلة نسميها الـ unit + +45 +00:03:40,700 --> 00:03:45,770 +vectors. قالوا: بدلاً من أن نكتب هذه، نقول F تساوي خمسة + +46 +00:03:45,770 --> 00:03:48,910 +نيوتن، والـ direction تبعه. ما أحد يقول لي أين، وهي + +47 +00:03:48,910 --> 00:03:52,070 +مبيّنة. ليست مبينة، أم لا؟ كان رسمها مبيناً. طب دي ما أعرفهاش. + +48 +00:03:52,070 --> 00:03:59,830 +قالوا: حلو، هذه F، اكتب خمسة I نيوتن. حاجة I، كل + +49 +00:03:59,830 --> 00:04:04,630 +الدنيا تعرفها، ومربوطة في الذهن، أنها مرتبطة بالـ + +50 +00:04:04,630 --> 00:04:09,810 +positive x axis، صحيح أم لا؟ الشيء I، قالوا: هذا + +51 +00:04:09,810 --> 00:04:14,200 +unit vector. unit vector، لماذا سُمّي unit؟ لأن الـ + +52 +00:04:14,200 --> 00:04:19,300 +magnitude تبعه one. لأن الخمسة دلّت على خمسة، ضربت في + +53 +00:04:19,300 --> 00:04:23,340 +one، وخمسة في one، خمسة. صحيح؟ إذن هذا الـ unit vector. + +54 +00:04:23,340 --> 00:04:27,820 +طبعاً، هل لي محور سيني فقط؟ قالوا: لا. إذن تريد + +55 +00:04:27,820 --> 00:04:32,720 +unit vector لـ لـ Y axis، unit vector لـ Z axis. + +56 +00:04:32,720 --> 00:04:37,660 +فصار اعتماد الـ I والـ J والـ K. لكن في الآخر قالوا: + +57 +00:04:37,660 --> 00:04:41,380 +ألا يوجد في الدنيا غير الـ Cartesian Coordinates؟ لا، يوجد + +58 +00:04:41,380 --> 00:04:44,800 +Spherical Coordinates. طب ماذا نفعل؟ I و J و K + +59 +00:04:44,800 --> 00:04:47,220 +أخذنا الـ Cartesian. نحتاج حروف أخرى + +60 +00:04:47,220 --> 00:04:51,100 +للـ Spherical. قالوا: لن ننتهي، أنتم أخذتم الـ Curve + +61 +00:04:51,100 --> 00:04:54,740 +Linear Coordinates، مائة ألف نوع Coordinates. فقالوا: + +62 +00:04:54,740 --> 00:04:57,660 +بدلاً من الـ I والـ J، في الكتب المتقدمة، قالوا: تخلص من + +63 +00:04:57,660 --> 00:05:00,680 +الـ I والـ J والـ K، اجعل الـ I، هذه، مرتبطة بالـ X. + +64 +00:05:00,680 --> 00:05:05,680 +فلنكتبها X، وريح نفسك. والـ J، كيف نكتبها؟ قالوا: + +65 +00:05:05,680 --> 00:05:11,010 +اكتبها Y، والـ K، اكتبها Z. هكذا، عندك الـ Spherical + +66 +00:05:11,010 --> 00:05:16,330 +Coordinates، الشيء R، اكتبها R، وكفى، لا I + +67 +00:05:16,330 --> 00:05:20,250 +ولا J ولا K، صحيح أم لا؟ أسهل طبعاً. في بعض الكتب + +68 +00:05:20,250 --> 00:05:24,170 +قالوا: لا، لأن unit vector، والـ hat تُعقّد الأمور. ذهبوا + +69 +00:05:24,170 --> 00:05:34,150 +وقالوا: هذه EX، وهذه EY، وهذه EZ، وهذه ER. هذه رموز... + +70 +00:05:34,150 --> 00:05:37,130 +هذه رموز تختلف من كتاب لكتاب. يمكن في الـ + +71 +00:05:37,130 --> 00:05:39,730 +mathematical physics عند الدكتور سمير، أعطاكم هذه + +72 +00:05:39,730 --> 00:05:43,650 +الرموز، صحيح أم لا؟ تمام. هذه الرموز، مثلها مثل + +73 +00:05:43,650 --> 00:05:47,510 +نفسها، نقول نحن غالباً سنتبع هذه الرموز، أو كتابنا + +74 +00:05:47,510 --> 00:05:54,870 +سيتبعها. يعني، في كلها رموز، في النهاية كلهم مسميات + +75 +00:05:55,710 --> 00:06:01,150 +لشيء واحد، أن هذه unit vectors، لكي تُدلّك بالاتجاه. + +76 +00:06:01,150 --> 00:06:07,170 +أنت كتبت I أم X، المفهوم المرتبط داخل دماغ الواحد + +77 +00:06:07,170 --> 00:06:12,670 +معروف، مرتبط بالـ X axis، اتجاهه باتجاه الـ positive X + +78 +00:06:12,670 --> 00:06:18,630 +axis. طبعاً، إذا معناته قال لي أن أي vector في الدنيا + +79 +00:06:18,630 --> 00:06:24,070 +لأنك ستعطيني Magnitude و Direction، يجب أن تكتبه + +80 +00:06:24,070 --> 00:06:27,790 +بدلالة هذول الثلاثة unit vectors. إذا it is well + +81 +00:06:27,790 --> 00:06:32,710 +known that any vector can be written as A equal + +82 +00:06:32,710 --> 00:06:38,510 +AXi + AYj + AZk. نبدأ في الكتابة التي نحن + +83 +00:06:38,510 --> 00:06:44,980 +متعودين عليها. ما هي AX و AY و AZ؟ هذه components + +84 +00:06:44,980 --> 00:06:49,980 +نسميها مركبات الـ vector، الـ X component، الـ Y + +85 +00:06:49,980 --> 00:06:56,260 +component، والـ Z component of the vector A. هذا + +86 +00:06:56,260 --> 00:07:01,680 +يكتبها بيدك، دلالة واضحة أين الـ direction. لما + +87 +00:07:01,680 --> 00:07:04,600 +تقول لي خمسة I، مع أنك في الـ direction واحد، تقول + +88 +00:07:04,600 --> 00:07:09,460 +خمسة I، زي الثلاثة J، يختلف. تعمل خمسة، ثلاثة، يصير الـ + +89 +00:07:09,460 --> 00:07:14,660 +direction عندك واضحاً. إذا الكتابة بهذه الصيغة، تحدد + +90 +00:07:14,660 --> 00:07:18,520 +بدقة الـ vector magnitude and direction. + +91 +00:07:21,970 --> 00:07:25,370 +وبعضه أخذنا في سنة أولى، كيف نتعامل مع الـ vectors، + +92 +00:07:25,370 --> 00:07:29,370 +كيف نجمعهم؟ زي ما اتفقنا، ثلاثة وثلاثة، ليست ستة دائماً، + +93 +00:07:29,370 --> 00:07:34,690 +صحيح؟ ممكن يكون ثلاثة وثلاثة صفر. متى يكونان + +94 +00:07:34,690 --> 00:07:38,850 +صفر؟ يكونان عكس بعض، وممكن يكون ثلاثة، اثنان. + +95 +00:07:38,850 --> 00:07:42,610 +إذا كانا متعامدين، إذا بطلت جمع الـ vectors، ونتعامل + +96 +00:07:42,610 --> 00:07:48,140 +معهم زي ما كنا نجمع في الروضة، تمام؟ كيف نجمع؟ هذه + +97 +00:07:48,140 --> 00:07:51,600 +فيه سهلة. خذ الـ components المتشابهة، اجمعها مع + +98 +00:07:51,600 --> 00:07:55,080 +بعض. الـ X component اجمعها مع بعض، الـ Y component مع + +99 +00:07:55,080 --> 00:07:58,120 +بعض، والـ Z component مع بعض، ساعتها بتظبط معك + +100 +00:07:58,120 --> 00:08:03,350 +الجمع. أجمع two vectors A، طبعاً الجمع والطرح هو + +101 +00:08:03,350 --> 00:08:09,370 +رياضياً نفس الـ operation. الطرح هو جمع الـ vector + +102 +00:08:09,370 --> 00:08:15,750 +والسالب، تمام؟ إذا A ناقص أو زائد B، هو الـ X + +103 +00:08:15,750 --> 00:08:20,550 +components تُجمع مع بعض، الـ Y components تُجمع + +104 +00:08:20,550 --> 00:08:24,230 +مع بعض، والـ Z components تُجمع مع بعض، تمام؟ + +105 +00:08:26,810 --> 00:08:31,630 +نجمع A زائد B، أم B زائد A، يفرق معنا؟ لا يفرق، + +106 +00:08:31,630 --> 00:08:38,290 +لأننا سابقاً قلنا كيف نجمع؟ نقول: هذه A، وهذه + +107 +00:08:38,290 --> 00:08:46,350 +B. A زائد B، هي هذا + +108 +00:08:46,350 --> 00:08:49,870 +A + +109 +00:08:49,870 --> 00:08:54,170 +زائد B، تتذكرين؟ + +110 +00:08:54,750 --> 00:08:59,990 +أريد أن أجمع B زائد A، أريد أن أجمع B زائد A، بسيطة، أريد هذا + +111 +00:08:59,990 --> 00:09:04,450 +vector، حافظ على مقداره واتجاهه، وأين ما أريده أن أضعه. + +112 +00:09:04,450 --> 00:09:12,290 +هذا نفسه A، أريد أن أحضره، فلدّي مشكلة، نفسي الآن + +113 +00:09:12,290 --> 00:09:15,170 +أجمع لي B زائد A. قال: B زائد A، سأجمعه. + +114 +00:09:20,090 --> 00:09:23,170 +انظر إلى هذا، قالوا: هو ذو متوازيين، الجسم المصطلح + +115 +00:09:23,170 --> 00:09:26,850 +نفس الطول. إذا المتوازيان ونفس الطول، إذا نفس + +116 +00:09:26,850 --> 00:09:30,970 +الـ vectors، صحيح أم لا؟ إذا A زائد B، وB زائد A، زي + +117 +00:09:30,970 --> 00:09:35,770 +بعض، إذا لا يفرق معي أن أجمع A زائد B، أم B زائد A. + +118 +00:09:35,770 --> 00:09:39,110 +معروف من زمان، تمام؟ لهذا يسمى جمع + +119 +00:09:39,110 --> 00:09:44,350 +commutative، لا يفرق، تبادلي، تمام؟ + +120 +00:09:46,100 --> 00:09:51,460 +A زائد B زائد C، أريد أن أجمع ثلاثة vectors، أجمع + +121 +00:09:51,460 --> 00:09:54,800 +ثلاثة vectors، أجمع الـ A في الـ B أولاً، وبعدين أجمع + +122 +00:09:54,800 --> 00:09:58,320 +لهما الـ C، أم أجمع الـ B زائد C، وبعدين أجمع لهما + +123 +00:09:58,320 --> 00:10:06,780 +الـ A؟ كل واحد أيضاً، نقول: هذه ثلاثة vectors، هذه + +124 +00:10:06,780 --> 00:10:14,340 +A، هذه B، هذه C، أريد أن أجمع هكذا، ماذا يقول؟ أجمع أولاً + +125 +00:10:14,340 --> 00:10:23,660 +ماذا؟ A زائد B زائد B زائد B زائد + +126 +00:10:23,660 --> 00:10:28,060 +B زائد B زائد B زائد B زائد B زائد B زائد + +127 +00:10:28,060 --> 00:10:28,100 +B زائد B زائد B زائد B زائد B زائد B زائد + +128 +00:10:28,100 --> 00:10:29,020 +B زائد B زائد B زائد B زائد B زائد B زائد + +129 +00:10:29,020 --> 00:10:29,500 +B زائد B زائد B زائد B زائد B زائد B زائد + +130 +00:10:29,500 --> 00:10:34,040 +B زائد B + +131 +00:10:34,040 --> 00:10:41,320 +زائد B، صحيح أم لا؟ تمام؟ قال: طيب، أنا جئت، ماذا + +132 +00:10:41,320 --> 00:10:45,260 +أريد أن أفعل؟ أريد أن أجمع الـ B والـ C، أين الـ B؟ اجمعهما مع + +133 +00:10:45,260 --> 00:10:53,560 +بعض، قال: هنا، جمعناهما مع بعض، هذه B زائد C. أجمع الـ A + +134 +00:10:53,560 --> 00:11:00,830 +مع الـ B والـ C، طلع نفس هذا، إذن، كل واحد، تجمع الـ A + +135 +00:11:00,830 --> 00:11:03,890 +والـ B، وبعدين تجمع لهما الـ C، أم تجمع الـ B والـ C + +136 +00:11:03,890 --> 00:11:08,470 +وبعدين تجمع لهما الـ A؟ كل واحد، وهذا كله أخذناه في + +137 +00:11:08,470 --> 00:11:14,710 +سنة أولى، معروف، تمام؟ + +138 +00:11:14,710 --> 00:11:19,410 +الجمع انتهى، نضرب vectors، قال لي: + +139 +00:11:19,410 --> 00:11:23,730 +هنا، لدي ثلاث حالات في ضرب الـ vectors، إما بضرب + +140 +00:11:23,730 --> 00:11:28,370 +vector في scalar، أو بضرب vector في vector، وتكون + +141 +00:11:28,370 --> 00:11:31,750 +النتيجة scalar، أو بضرب vector في vector، وتكون + +142 +00:11:31,750 --> 00:11:36,890 +النتيجة vector. لو ضربت vector في scalar، يبقى + +143 +00:11:36,890 --> 00:11:41,070 +vector. ماذا يحدث؟ قال: الـ magnitude يتغير، الـ + +144 +00:11:41,070 --> 00:11:45,410 +magnitude يتغير. بالتالي، لو كانت lambda is a scalar، + +145 +00:11:45,410 --> 00:11:51,440 +ضربتها في الـ vector a. Lambda is a scalar، ضربتها في الـ + +146 +00:11:51,440 --> 00:11:54,600 +vector a، ماذا تفعل؟ قال لي: هذا الـ scalar، أدخله على + +147 +00:11:54,600 --> 00:12:00,180 +كل المركبات. دخل الـ AX، صارت lambda AX، الـ AY، صارت + +148 +00:12:00,180 --> 00:12:04,560 +lambda AY، الـ AZ، صارت lambda AZ. إذن لما أضرب vector + +149 +00:12:04,560 --> 00:12:09,060 +بثلاثة، باثنين، بنقص أربعة. هذه يجب أن تتكرر على كل + +150 +00:12:09,060 --> 00:12:14,080 +الـ components. نسميها scalar multiplied by vector. + +151 +00:12:14,080 --> 00:12:26,850 +طبعاً في الـ physics، عندنا V = V0 + A في T، تتذكرونها؟ + +152 +00:12:26,850 --> 00:12:35,810 +ما هذه؟ هذه acceleration، vector. هذه Fine، بلاش، + +153 +00:12:35,810 --> 00:12:39,410 +F، قانون + +154 +00:12:39,410 --> 00:12:47,190 +من هو؟ قانون نيوتن، vector مضروب. إذا يوجد لديّ + +155 +00:12:47,190 --> 00:12:51,690 +حالات كثيرة، نضرب فيها vector في scalar. الـ mass is + +156 +00:12:51,690 --> 00:12:55,650 +a scalar multiplied by the acceleration. ما النتيجة + +157 +00:12:55,650 --> 00:12:59,970 +force؟ vector. الناتج force، والـ force is a vector. + +158 +00:12:59,970 --> 00:13:09,510 +تمام، معروفة. أضرب الـ A في الـ B، هذا يُسمى dot product، لأن + +159 +00:13:09,510 --> 00:13:14,650 +النقطة، أو يُسمى scalar product، وهو الأشهر، لأن + +160 +00:13:14,650 --> 00:13:22,530 +النتيجة scalar. النتيجة scalar. أقول A.B يساوي + +161 +00:13:22,530 --> 00:13:26,370 +المركبة السينية في المركبة السينية، المركبة الصادية + +162 +00:13:26,370 --> 00:13:30,130 +في المركبة الصادية، والمركبة الزدية في المركبة + +163 +00:13:30,130 --> 00:13:34,390 +الزدية، وبعدين نجمعها، جمع عادي. لما نجمعها، يطلع + +164 +00:13:34,390 --> 00:13:38,990 +لديك مقدار scalar. وهذا يساوي A في B في cos + +165 +00:13:38,990 --> 00:13:45,150 +الزاوية. نفس القضية. من أشهر أنواع الـ scalar product + +166 +00:13:45,150 --> 00:13:51,980 +في الـ physics هو الـ work. Work is a scalar quantity، + +167 +00:13:51,980 --> 00:13:59,120 +ناتجة من حاصل ضرب two vector quantities، الـ force + +168 +00:13:59,120 --> 00:14:04,260 +مع الـ displacement. force . displacement، يعطي + +169 + +223 +00:18:28,510 --> 00:18:33,930 +أخدتها في رياضياتي معاه في طريقة أو بأخرى وكان + +224 +00:18:33,930 --> 00:18:38,550 +اللي أنا أديتها في فيزياء ألف كمان بس يعني الـ + +225 +00:18:38,550 --> 00:18:42,270 +cross product، الـ cross product أو الـ victory + +226 +00:18:42,270 --> 00:18:46,630 +product، الـ victory product لما إجت بدي أضربهم في + +227 +00:18:46,630 --> 00:18:49,670 +بعض يا بنات، إيه الـ cross بيه؟ الـ إيه شبيه؟ قال لي الـ + +228 +00:18:49,670 --> 00:18:50,210 +إيه ده هي + +229 +00:18:55,530 --> 00:18:59,010 +هذه الـ A مش هيك اتفقنا نكتبها؟ اعمل cross + +230 +00:18:59,010 --> 00:19:00,270 +product مع مين؟ مع الـ B + +231 +00:19:07,950 --> 00:19:12,710 +تمام؟ اضرب...في حد ما يعرفش يضرب جوس بجوس؟ كنا + +232 +00:19:12,710 --> 00:19:16,070 +بنعرف أنه يضرب جوس بجوس، كيف تضرب؟ يجب أن تضرب هادي + +233 +00:19:16,070 --> 00:19:23,390 +فيهم كلهم، صح ولا لأ؟ فبيصير اضرب axbx I cross I ذات + +234 +00:19:23,390 --> 00:19:30,390 +axby I cross J ذات axbz + +235 +00:19:31,630 --> 00:19:38,110 +I x K، وهكذا. مشاكل نضرب ونجيب الـ Ay، ونضرب والـ + +236 +00:19:38,110 --> 00:19:44,930 +Az، ونضربهم في يوم كلهم. قال لي I x I هي I، مجموعة + +237 +00:19:44,930 --> 00:19:52,610 +واحد في واحد في، صفر. ونضبط، صفر. + +238 +00:19:52,610 --> 00:19:57,270 +ونضبط، وأنا بقول sign، sign + +239 +00:19:58,390 --> 00:20:03,070 +A cross بيجيب sign، مش dot، مظبوط؟ إذا واحد في + +240 +00:20:03,070 --> 00:20:06,170 +واحد، إيش هما الواحد واحد دول؟ الـ magnitude تبع الـ + +241 +00:20:06,170 --> 00:20:10,190 +unit vectors. واحد في واحد في sign، الصفر، صفر، + +242 +00:20:10,190 --> 00:20:17,300 +تمام؟ هالـ gate هادي صفر، روحت I x G، يظهر معاك Vector + +243 +00:20:17,300 --> 00:20:22,280 +ويجب أن يكون Vector متعامد على الاثنين، صح؟ إذا لازم + +244 +00:20:22,280 --> 00:20:32,600 +يكون K حسب القاعدة تبعتنا. I x G = K، و I x K = -G + +245 +00:20:32,600 --> 00:20:39,620 +مظبوط ولا لا؟ إذا هذه ستظهر K وهذه ستظهر سالب G + +246 +00:20:41,660 --> 00:20:46,140 +لما كملوا الضرب قالوا إيه هذه نتيجة determinant + +247 +00:20:46,140 --> 00:20:50,580 +المحدد، فصاروا يكتبوه بهذه الصيغة، يعني هو أصلا هيك + +248 +00:20:50,580 --> 00:20:55,640 +راحوا ضربوا، طبعا لما نيجي نعمل هذا هو هيطلع aybz + +249 +00:20:55,640 --> 00:21:01,700 +-azby باتجاه الـ I، وهكذا بنشتغل، فقالوا الضرب هذاهو + +250 +00:21:01,700 --> 00:21:05,840 +عبارة عن ناتج المحدد، بيحطوه أسهل للطلاب يتعاملوا + +251 +00:21:05,840 --> 00:21:12,080 +معاه بهذه الصيغة، والناتج is a vector لأنه ضال عندي + +252 +00:21:12,080 --> 00:21:17,500 +هنا في K وهنا في G، و K و G و I، هدول بتدلوا على + +253 +00:21:17,500 --> 00:21:21,420 +اتجاه، مازالوا بتدلوا على اتجاه، لذا أنت بتتحدث عن + +254 +00:21:21,420 --> 00:21:26,820 +vector quantity، بالتالي النتيجة اللي طلعت عندك is a + +255 +00:21:26,820 --> 00:21:30,760 +vector. لما شافوا الـ direction تبعها قالوا الـ + +256 +00:21:30,760 --> 00:21:34,840 +direction عمودي على الاثنين، عمودي على الـ A وعمودي + +257 +00:21:34,840 --> 00:21:38,980 +على الـ B، وبالتالي عمودي على المستوى، عشان كده بيقول + +258 +00:21:38,980 --> 00:21:46,760 +أن المساحة is a vector quantity لأنها A cross الـ B + +259 +00:21:46,760 --> 00:21:50,720 +يا بنات، نيجي A cross الـ B هاي...تعرفوا المتوازي + +260 +00:21:50,720 --> 00:21:51,640 +الأضلاع اللي أسمعته فيه؟ + +261 +00:21:57,900 --> 00:22:04,000 +بنكمله، بس مين قال كلّه متوازي أضلاع؟ إيش قانون + +262 +00:22:04,000 --> 00:22:07,080 +مساحته؟ + +263 +00:22:07,080 --> 00:22:11,140 +من أين جايبين نص القاعدة في الارتفاع؟ ليش أنا بقول + +264 +00:22:11,140 --> 00:22:13,700 +من أين جايبينه؟ لأن الشباب نطوا نص النطة، نص + +265 +00:22:13,700 --> 00:22:17,640 +القاعدة في الارتفاع، هذا المثلث، مجموعة نص القاعدة؟ + +266 +00:22:17,640 --> 00:22:22,030 +ده شبه المنحرف بالفكرة، عليك أنت؟ شوفوا، شوفوا الصورة + +267 +00:22:22,030 --> 00:22:26,690 +عامة، عشان ما تنسوش، عشان تعرفوا بأي شكل رباعي، أي إن + +268 +00:22:26,690 --> 00:22:31,010 +كان شكله عدل ولا أعوج، ولا بتحبه ولا بتحبوش، قاعدة + +269 +00:22:31,010 --> 00:22:35,650 +في ارتفاع، قاعدة في الارتفاع. نجي هلّجت إن صفة الكلام + +270 +00:22:35,650 --> 00:22:40,150 +اللي بصميمه، إيش مساحة المستطيل؟ طول × عرض؟ إيش مساحة + +271 +00:22:40,150 --> 00:22:43,890 +المربع؟ طول الضلع؟ إيش مساحة متوازي أضلاع؟ + +272 +00:22:43,890 --> 00:22:46,730 +القاعدة في الارتفاع. كلهم قاعدة في الارتفاع. طول + +273 +00:22:46,730 --> 00:22:49,370 +× عرض، ما هي قاعدة في الارتفاع، والمربع طول الضلع، ما + +274 +00:22:49,370 --> 00:22:52,390 +هو الضلع تربيع، ما هو قاعدة في الارتفاع، فكلهم + +275 +00:22:52,390 --> 00:22:56,450 +قاعدة في الارتفاع. نجي للـ...اللي نطينا فيه المثلث، + +276 +00:22:56,450 --> 00:23:01,090 +ما هو نص شكل رباعي، عشان كده بنقول عنه نص القاعدة في + +277 +00:23:01,090 --> 00:23:01,670 +الارتفاع + +278 +00:23:04,490 --> 00:23:07,750 +أحسن، أفضل من الواقعي، لأن في الشغل وين ودّاك يجوحا + +279 +00:23:07,750 --> 00:23:14,270 +هذه ولا هذه، ما هي تمام، هجتني جهان، بدي مساحته، وين + +280 +00:23:14,270 --> 00:23:18,230 +القاعدة؟ إيه بتنفع قاعدة ولا لأ؟ طيب، بي تنفع ارتفاع + +281 +00:23:18,230 --> 00:23:24,190 +لأ، هذه لو كانت هذه الزاوية θ (ثيتا)، بنفع أقول هذه × + +282 +00:23:24,190 --> 00:23:27,090 +جيب الزاوية، صح؟ + +283 +00:23:28,390 --> 00:23:33,410 +مساحة متوازي أضلاع مرسوم هو A × B × جيب + +284 +00:23:33,410 --> 00:23:38,610 +الزاوية، صح؟ إذاً A cross الـ B، إذاً المساحة + +285 +00:23:38,610 --> 00:23:42,170 +الـ Area بتساوي A cross الـ B + +286 +00:23:47,290 --> 00:23:50,190 +اللي ناتج vector، ومين قال لك الـ Area مش vector؟ عشان + +287 +00:23:50,190 --> 00:23:54,090 +كده بيقول الـ Area vector، كيف اتجاهها؟ الـ cross + +288 +00:23:54,090 --> 00:23:57,290 +product ناتج لازم يكون عمودي على المساحة، إذا + +289 +00:23:57,290 --> 00:24:00,850 +المساحة هي عبارة عن vector quantity عمودي على + +290 +00:24:00,850 --> 00:24:04,930 +السطح، لأن الـ vector اللي بدنا ننتجه لازم يكون عمودي + +291 +00:24:04,930 --> 00:24:08,430 +على المستوى تبع الـ two vectors، يعني عمودي على + +292 +00:24:08,430 --> 00:24:13,810 +المستوى، فـ A cross الـ B بعطيني مساحة متوازي أضلاع + +293 +00:24:13,810 --> 00:24:17,990 +تبع الـ A والـ B. كان زمان سؤال هذا في كتاب فيزياء ألف، + +294 +00:24:17,990 --> 00:24:22,690 +سؤال مش مثال، طبعا، طبعا + +295 +00:24:22,690 --> 00:24:30,250 +هذا الـ cross product بيطلع معايا vector quantity + +296 +00:24:30,250 --> 00:24:36,050 +vector quantity، مين فيكم ذاكره الضرب هذا بالفيزياء أنتم؟ + +297 +00:24:36,050 --> 00:24:39,330 +خلصتوه سنة ثانية، ما شاء الله عليكم، مر عليكم فيزياء + +298 +00:24:39,330 --> 00:24:42,310 +كام كبيرة، إيش فيه vector product between two + +299 +00:24:42,310 --> 00:24:44,630 +quantities، وطلع vector quantity + +300 +00:24:55,470 --> 00:25:02,530 +displacement، طب الشيء، طب إيش بيطلع؟ + +301 +00:25:02,530 --> 00:25:10,410 +طب نذاكر مع بعض الـ torque، إيش بيساوي؟ R cross الـ F + +302 +00:25:10,410 --> 00:25:13,450 +R + +303 +00:25:13,450 --> 00:25:19,920 +displacement cross الـ F، شوفي R، ضبطي الـ F، إيش طلعت + +304 +00:25:19,920 --> 00:25:25,120 +معايا؟ work، صح ولا لأ؟ لكن R cross الـ F طلعت + +305 +00:25:25,120 --> 00:25:30,360 +torque، عشان كده مرات إحنا بنقول تجاوزًا الـ torque والـ + +306 +00:25:30,360 --> 00:25:36,120 +work، اللي هم نفس الوحدة، غريب يعني، لو أحد يجي + +307 +00:25:36,120 --> 00:25:41,940 +يكتب لي الـ torque وكتب Joule، ما أحد بيقدر يقول ليها + +308 +00:25:41,940 --> 00:25:48,370 +غلط، لأن شو الـ Joule؟ متر × نيوتن؟ الـ torque وحدتها + +309 +00:25:48,370 --> 00:25:52,910 +نيوتن متر، والجول، الحلو اللي غوزوها وادوها، و + +310 +00:25:52,910 --> 00:25:57,670 +وحدتها ما هي الثانية، نيوتن × المتر، صح ولا لا؟ لكن + +311 +00:25:57,670 --> 00:26:02,170 +إيش الفرق؟ إن الـ work is a scalar quantity، لكن الـ + +312 +00:26:02,170 --> 00:26:04,370 +torque is a vector quantity، عشان كده بنقول عن الـ + +313 +00:26:04,370 --> 00:26:07,370 +torque مع عقارب الساعة، ضد عقارب الساعة، لأنه بيه من + +314 +00:26:07,370 --> 00:26:12,150 +الاتجاه، لكن بيقول عن الشغل شمال ولا يمين، ولا عقرب + +315 +00:26:12,150 --> 00:26:15,010 +الساعة ولا ضد عقارب الساعة، لأ، لأنه ما كنت أتحدث عن + +316 +00:26:15,010 --> 00:26:22,170 +scalar quantity، تمام؟ طيب، إيش علاقة الـ L بالـ P، الـ + +317 +00:26:22,170 --> 00:26:28,250 +angular momentum، L، بالـ P، الـ Linear Momentum، اللي + +318 +00:26:28,250 --> 00:26:33,230 +بتساوي R cross الـ P. الـ Angular Momentum is a vector + +319 +00:26:33,230 --> 00:26:36,370 +quantity، ناتجة من cross product between two + +320 +00:26:36,370 --> 00:26:44,630 +vectors، طبعًا + +321 +00:26:44,630 --> 00:26:50,850 +الـ cross product not commutative، A x B ≠ B x A، طبعًا + +322 +00:26:50,850 --> 00:26:54,550 +كنا عارفين A x B غير B x A، هاي الناتج شوفوا إيه + +323 +00:26:54,550 --> 00:26:58,050 +إبهامك كده، بيصير هاي A وأروح على الـ B، لكن ابدأ من + +324 +00:26:58,050 --> 00:27:02,190 +الـ B وأروح على الـ A، إبهامك بالعكس، فبيكونش عنه + +325 +00:27:02,190 --> 00:27:09,950 +commutative. I x J = K، لكن J x I = -K، فإحنا + +326 +00:27:09,950 --> 00:27:15,690 +بنقول إن الـ cross product not commutative، تمام؟ + +327 +00:27:15,690 --> 00:27:21,590 +حاجة ثانية، اللي مرت علينا، two vectors، بضربهم في بعض، dot + +328 +00:27:21,590 --> 00:27:25,590 +product، cross product، scalar في vector، سهلين، في + +329 +00:27:25,590 --> 00:27:28,390 +حاجة مسميها triple product، إيش يعني triple product؟ + +330 +00:27:28,390 --> 00:27:33,570 +بيقول لي ثلاثة vectors، ثلاثة vectors، كيف بدأ أضربهم في + +331 +00:27:33,570 --> 00:27:39,170 +عندي احتمالان، لكن في عندي كلهم crossات؟ لأ، cross و + +332 +00:27:39,170 --> 00:27:44,930 +dot، صح ولا لأ؟ طبعًا، أنت بدأ تقول، ليش ما فيش يكون + +333 +00:27:44,930 --> 00:27:45,530 +كلهم dot + +334 +00:27:49,070 --> 00:27:54,230 +عادي، بقول، واحدة واحدة، triple product A، B، C، هذه + +335 +00:27:54,230 --> 00:27:57,850 +معناها triple، يعني عندي three vectors، triple + +336 +00:27:57,850 --> 00:28:04,970 +product، بدي أضرب A dot B cross الـ C، A dot B cross + +337 +00:28:04,970 --> 00:28:10,210 +الـ C، هذه كتابة حلوة، لو جي أحد يقول أنا بحب أبدأ من + +338 +00:28:10,210 --> 00:28:15,930 +الأول، يعني بنفع أكتب A dot الـ B، أعمل هيك وأقول + +339 +00:28:15,930 --> 00:28:16,530 +cross الـ C + +340 +00:28:20,320 --> 00:28:26,120 +بش، لأ بالضبط + +341 +00:28:26,120 --> 00:28:30,460 +يعني ما بنفعش الـ cross يكون بين scalar و vector، صح؟ + +342 +00:28:30,460 --> 00:28:35,760 +لأن هذه scalar، ما بنفعش تحط cross، لو هيك أه، أمين + +343 +00:28:35,760 --> 00:28:40,040 +هيك بتصير لا dot ولا cross، لأنه لما قلت أنا lambda + +344 +00:28:40,040 --> 00:28:42,640 +إيه، ما حطّيتش بين الـ lambda تبع الـ scalar تبع + +345 +00:28:42,640 --> 00:28:45,700 +الشريحة اللي جايبها، ما حطّيتش بين الـ lambda والـ إيه + +346 +00:28:45,700 --> 00:28:49,180 +لا dot ولا cross، حطّيت ×، وبقول 5 × 3، + +347 +00:28:49,180 --> 00:28:53,960 +× جيم، ما حطّيتش بين الجيم والرقم أي إشارة، بالتالي هذه + +348 +00:28:53,960 --> 00:29:02,100 +ما بنفعش تكتب زي ما أنا كتبتها، تمام؟ بتساوي C dot A + +349 +00:29:02,100 --> 00:29:06,080 +cross الـ B، بتساوي B dot C cross الـ A، بقول هدول + +350 +00:29:06,080 --> 00:29:09,660 +كلهم زي بعض، طيب كيف هدول؟ ابتدوا عليهم وانتبهوا + +351 +00:29:09,660 --> 00:29:15,220 +كيف مرتّبين، اعملوا Cyclic، ABC، حلوة، ABC، ما هي مرتبة + +352 +00:29:15,220 --> 00:29:19,060 +تعني إيه؟ جيبوا هادي في الأول، إيش بده يصير؟ هادي + +353 +00:29:19,060 --> 00:29:23,380 +تيجي في الأول، والثاني ينزّل، يصير CAB، بعدين جيبوا + +354 +00:29:23,380 --> 00:29:27,980 +الـ B في الأول، BCA، صحيح ولا لأ؟ أثبتوهم في + +355 +00:29:27,980 --> 00:29:33,620 +الرياضيات؟ أثبتوهم، طب أنا بدي أثبتهم بدون رياضيات، + +356 +00:29:33,620 --> 00:29:40,200 +بدون رياضيات، علبة كبريت، متوازي مستطيلات، ولا لا؟ + +357 +00:29:40,200 --> 00:29:45,480 +طيب، حجمها، جاعتوها على بطنها ولا على رجليها ولا + +358 +00:29:45,480 --> 00:29:49,520 +على...وين ما تجاعتوها، بيفرق الحجم معكم؟ تمام، + +359 +00:29:49,520 --> 00:29:53,840 +هاي علبة كبريت، حجمها...إيش بيسمّوها حجمها؟ مساحة + +360 +00:29:53,840 --> 00:29:57,240 +القاعدة × الارتفاع، هذا هي مساحة القاعدة × + +361 +00:29:57,240 --> 00:30:01,910 +الارتفاع، طب بنفع هيك؟ وين قاعدتي؟ هيها، وارتفاعي + +362 +00:30:01,910 --> 00:30:07,190 +هنا، بنفع هيك؟ بنفع، إيش الإطار قاعد معك؟ القاعدة + +363 +00:30:07,190 --> 00:30:16,790 +بتفرق، هيك A B، هيك A C، هيك B C، هيك، إن إحنا إتفقنا A + +364 +00:30:16,790 --> 00:30:21,390 +cross الـ B بيعطيك مساحة القاعدة، مش تقول لي A cross + +365 +00:30:21,390 --> 00:30:29,430 +الـ B، بعدين C هو الارتفاع، الحجم تبع هذه بيغير كيف + +366 +00:30:29,430 --> 00:30:35,350 +وقفتها؟ لأ، هذه حجم، وهذه حجم، وهذه حجم، لنفس متوازي + +367 +00:30:35,350 --> 00:30:36,070 +المستطيلات + +368 +00:30:40,670 --> 00:30:45,710 +ها دي C cross الـ B بيعطيك مساحة القاعدة، الـ cross + +369 +00:30:45,710 --> 00:30:48,730 +الـ A، اللي هي A × جيب الزاوية، الارتفاع، فبيدي cross + +370 +00:30:48,730 --> 00:30:55,610 +الثاني، فهذه كلها حجم لنفس الشكل، وبالتالي لابد أشمّر + +371 +00:30:55,610 --> 00:31:00,660 +ولا أثبت زي ما أثبتت في الرياضيات، منطقيًا، هذه صحيحة + +372 +00:31:00,660 --> 00:31:05,480 +لأن هدول ثلاثة حجم لنفس الشكل، والحجم لا يتغير + +373 +00:31:05,480 --> 00:31:08,540 +لترين، تلات لتر، مش عارف إيش، أو متر مكعب اللي + +374 +00:31:08,540 --> 00:31:14,580 +بدكم إياه، فهذه كلها، هذه عبارة عن volume للـ + +375 +00:31:14,580 --> 00:31:18,240 +parallelepiped تبعه، اللي هو متوازي مستطيلات اللي + +376 +00:31:18,240 --> 00:31:24,620 +متكون من ثلاثة vectors، لأن هذا شكل حجمي ثلاثي، الحجم + +377 +00:31:24,620 --> 00:31:27,920 +دائمًا للشكل الثلاثي، طبعًا، واحد بيقول، طب أنا بقى هيك + +378 +00:31:27,920 --> 00:31:31,560 +بدي أشوف الرياضيات تبعتكم، صح ولا لأ؟ بدي أغيرها من + +379 +00:31:31,560 --> 00:31:34,740 +الرياضيات، بيقولوا، يلا شمر وجيب لك فرخين وابدأ + +380 +00:31:34,740 --> 00:31:38,640 +اشتغل وراك عشان تجيبها، كيف بدي أعملها؟ اعملوا + +381 +00:31:38,640 --> 00:31:41,740 +cross product بين B و C، بتعرف تعمل، اعمل محدد، و + +382 +00:31:41,740 --> 00:31:44,720 +جيبوا، واشتغلوا، واضربوا الضرب هذا product مع الـ A، و + +383 +00:31:44,720 --> 00:31:48,560 +جيبوا النتيجة وارمها، اعمل هذه نفس العملية وجيب + +384 +00:31:48,560 --> 00:31:51,820 +النتيجة وقارنها، هتلاقيها نفسها، اعمل هذه، هتلاقيها + +385 +00:31:51,820 --> 00:31:56,800 +نفسها، إذا كانت رياضيتي صح، والواقع بيقول اه، هتكون + +386 +00:31:56,800 --> 00:32:03,260 +في الثلاث، حجم لنفس الشكل، إيه الصفّار؟ هجيت له، و + +387 +00:32:03,260 --> 00:32:11,480 +اتفقنا هذه dot وهذه cross، الآن بدي أحط crossين، + +388 +00:32:11,480 --> 00:32:17,420 +triple product، A cross B cross الـ C، وهذا بيساوي + +445 +00:36:59,300 --> 00:37:03,620 +infinitesimal displacement لو تغيرت لهنا + +446 +00:37:10,280 --> 00:37:19,100 +هذه المسافة بتسميها D L، D L اتغيرت يعني هذه نقطة + +447 +00:37:19,100 --> 00:37:24,720 +أنا بدي أغيرها، صارت هنا. إيه سويت أنت؟ بقول له والله + +448 +00:37:24,720 --> 00:37:30,160 +أنا مشيت شوية سيني، وشوية صاد، وشوية ارتفاع. تغيرت، فهذا + +449 +00:37:30,160 --> 00:37:33,960 +كيف بدي أجيه أكتبه؟ بقول أنت مشيت شوية سيني، يعني الـ DX + +450 +00:37:33,960 --> 00:37:39,140 +وغيرت الصاد، الـ DY، وغيرت الـ Z، الـ DZ، فبتصير + +451 +00:37:39,140 --> 00:37:45,140 +الـ Infinitesimal Displacement DL بتساوي DX سيني + +452 +00:37:45,140 --> 00:37:49,700 +باتجاه الـ I، زي الـ DY باتجاه الـ J، زي الـ DZ باتجاه الـ K + +453 +00:37:49,700 --> 00:37:55,420 +في حاجة غريبة؟ ما فيش حاجة غريبة، حلو. + +454 +00:37:58,490 --> 00:38:06,470 +أبدأ أسس لشغلة مرت عليكم وين؟ رمز زي هيك، دي إيه؟ أو + +455 +00:38:06,470 --> 00:38:11,650 +دي V؟ أو دي Tau؟ ما بعرف إيش الرمز اللي مر عليكم الـ + +456 +00:38:11,650 --> 00:38:17,870 +A و الـ V، الـ A و الـ V؟ حلو، إذا ما مر هذا، حلو، شو + +457 +00:38:17,870 --> 00:38:26,540 +هذا؟ جزء من حجم، صح ولا لأ؟ طب هذا كيف نكتبه؟ Dx، + +458 +00:38:26,720 --> 00:38:32,040 +Dy، Dz. دي إكس، دي واي، دي زد، دي + +459 +00:38:32,040 --> 00:38:40,000 +إكس دي واي دي زد، دي إكس + +460 +00:38:40,000 --> 00:38:45,790 +دي واي دي زد، دي إكس دي واي دي زد. مر ولا ما مر، + +461 +00:38:45,790 --> 00:38:48,650 +يقولوا آه أو لأ، مر حتما، يعني مش مطلوب منكم لا + +462 +00:38:48,650 --> 00:38:53,130 +تحفظوا ولا حاجة، مر، إحنا بسمينا نقول مر، مش مطلوب + +463 +00:38:53,130 --> 00:38:56,490 +منكم تحفظوها الشغلات، بس إنه نقول والله مر، + +464 +00:38:56,490 --> 00:39:01,920 +نسيناه، مهمش، يعني شغلة طبيعية، الطالب ينسى، بس يقول + +465 +00:39:01,920 --> 00:39:04,160 +والله آه، شوفت هذه الشغلة زي الواحد لما يشوف بني + +466 +00:39:04,160 --> 00:39:06,900 +آدم ويشاهده زمان، يقول بس والله هذه مرت عليّ أكثر من + +467 +00:39:06,900 --> 00:39:10,020 +كده، مش مطلوب الناس يدققوا اسمه، يقول بس مرت عليّ مش + +468 +00:39:10,020 --> 00:39:13,240 +مطلوب أنك تتذكر اسمه ولا إيه بالمين ولا في أي حارة + +469 +00:39:13,240 --> 00:39:18,280 +تمام؟ هيدا كان زمان R تربيع sin θ dθ dφ dr + +470 +00:39:18,280 --> 00:39:27,720 +عمل لكم، إذا سمعتوا فيها مر + +471 +00:39:27,720 --> 00:39:28,380 +عليكم هذا؟ + +472 +00:39:32,320 --> 00:39:36,280 +في الفيزياء ما مرّش، ولا في الـ optics، ولا هنا ولا هنا + +473 +00:39:36,280 --> 00:39:40,120 +في + +474 +00:39:40,120 --> 00:39:43,660 +الرياضيات + +475 +00:39:43,660 --> 00:39:47,140 +بيكون مفروض مر في الـ coordinates، لكن خليني أقول في + +476 +00:39:47,140 --> 00:39:51,700 +الـ optics، في الـ atomic، في الحديثة، ممكن في الحديثة + +477 +00:39:51,700 --> 00:39:58,520 +ما مرّش؟ طيب، طبعا هذا بيجي برضه من نفس الـ طيب لو + +478 +00:39:58,520 --> 00:40:08,980 +أنا بدي أدي إيه؟ DX DY DX + +479 +00:40:08,980 --> 00:40:11,480 +DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX + +480 +00:40:11,480 --> 00:40:12,320 +DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX + +481 +00:40:12,320 --> 00:40:18,600 +DX DX DX DX DX DX DX DX DX DX DX DX DX DX + +482 +00:40:18,600 --> 00:40:19,500 +DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX + +483 +00:40:19,500 --> 00:40:19,520 +DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX + +484 +00:40:19,520 --> 00:40:19,580 +DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX DX + +485 +00:40:19,580 --> 00:40:28,320 +DX DX DX DX DX DX DX DX DX DX DX DX DX DX + +486 +00:40:28,320 --> 00:40:35,850 +DX DX DX بتميز بينهم، فالـ DL كتبتها، هيفتح عليها عدة + +487 +00:40:35,850 --> 00:40:38,970 +شغلات، كيف أتعامل معاها، أن أعرف الـ DL في أي + +488 +00:40:38,970 --> 00:40:43,650 +coordinates. طيب هذه الـ DL قمنا وخلصنا، أنا هذه + +489 +00:40:43,650 --> 00:40:48,730 +المفروض ضالة الرسمة، لكن مرسومة كمان مرة الآن + +490 +00:40:48,730 --> 00:40:53,290 +بيقول لي الـ source point. نرجع... أولا رسمتها بس + +491 +00:40:53,290 --> 00:40:57,550 +محيتها مع الأسف، قلت هذه شحنة، وهذه نقطة، هذه P وهذه + +492 +00:40:57,550 --> 00:41:02,150 +Q، وقلت لكم أنا هذه هيك، وهذه هيك، والمسافة اللي كانت + +493 +00:41:02,150 --> 00:41:05,710 +R، المسافة بين الشحنة ونقطة، هي هذه، صح ولا لأ؟ قال + +494 +00:41:05,710 --> 00:41:08,550 +لي، طب هذه إيه اللي بيتعمل فيها، وهذه اللي بيتعمل + +495 +00:41:08,550 --> 00:41:11,810 +فيها؟ قالوا خلينا نتفق كلنا مع بعض، بدي اسمي هذه + +496 +00:41:11,810 --> 00:41:19,390 +اسم، وهذه اسم، هذه اسم إيش هو؟ اسم الشحنة، الشحنة مش + +497 +00:41:19,390 --> 00:41:23,560 +هي الـ source تبع المجال؟ فهذه بنسميها source point + +498 +00:41:23,560 --> 00:41:29,340 +ومن يوم اطلع أنا وإياك، بدي أرمز لها بالرمز R شرطة، هذا + +499 +00:41:29,340 --> 00:41:32,240 +الكتاب بيأسس، قاعد بقول لك أنا قبل ما أدخل حساب توزيع + +500 +00:41:32,240 --> 00:41:35,680 +اتنين، بقول لك هنا من بداية هذه مقدمة، هذه حساب توزيع + +501 +00:41:35,680 --> 00:41:40,240 +مقدمة، قاعد أنا بأسس، بيقول لي a source point R شرطة + +502 +00:41:40,240 --> 00:41:44,720 +إذا اعتمد هو R شرطة is the point where an + +503 +00:41:44,720 --> 00:41:49,100 +electrical charge is located. إذا R شرطة هو بعد + +504 +00:41:49,100 --> 00:41:54,570 +النقطة اللي عندها الشحنة، source point. كلمة source + +505 +00:41:54,570 --> 00:41:58,890 +عشان الشحنة هي المصدر تبع المجال، فمن هنا اجت كلمة + +506 +00:41:58,890 --> 00:42:02,170 +source point. من يوم ما أطلع، بدي أرمز لها على R شرطة + +507 +00:42:02,170 --> 00:42:05,950 +طبعا هذا علم خاص بالكتاب، ممكن كتاب ثاني يقول لك + +508 +00:42:05,950 --> 00:42:09,590 +أنا ما بديش أسميها R شرطة، بدي أسميها R أو R مزدوجة + +509 +00:42:09,590 --> 00:42:13,670 +طول كل... إحنا قاعدين بنأسس كتابنا، تمام؟ + +510 +00:42:16,730 --> 00:42:18,870 +طب، والنقطة هذه إيش بيجي تسميها؟ بقولوا أنت هذه + +511 +00:42:18,870 --> 00:42:21,150 +النقطة الثانية، بقولوا هذه النقطة اللي بيجي أجيب + +512 +00:42:21,150 --> 00:42:24,590 +عندها المجال، صح؟ بيجي أجيب عندها الـ field، فبنسّميها + +513 +00:42:24,590 --> 00:42:27,350 +field point. طبعا واحد بيقول لي مجال كهربائي ولا + +514 +00:42:27,350 --> 00:42:30,230 +مجال مغناطيسي؟ بقول له كل واحد، مجال كهربائي ولا + +515 +00:42:30,230 --> 00:42:33,130 +مغناطيسي، في النهاية مجال ببيجي أسميها الـ field point + +516 +00:42:33,130 --> 00:42:36,290 +لأن أنا في الأول بيجي أجيب مجال كهربائي، وفي النصف + +517 +00:42:36,290 --> 00:42:39,510 +الثاني بيجي أجيب مجال مغناطيسي، ففي كل الأحوال هذه + +518 +00:42:39,510 --> 00:42:42,510 +النقطة اللي بيجي توجد عندها المجال بنسميها الـ field + +519 +00:42:45,770 --> 00:42:53,990 +point R، حلو، إذا معناته اتفقنا هذه R شرطة، وهذه R. قال لي + +520 +00:42:53,990 --> 00:43:00,850 +طب ما هي هذه؟ هذه R، نقص R شرطة، هذه + +521 +00:43:00,850 --> 00:43:10,250 +R ناقص R شرطة، صار قانون كولوم E بيساوي K Q على R ناقص + +522 +00:43:10,250 --> 00:43:15,930 +R شرطة، هكذا. أتي هذا الكتاب، وقال أنا ما أقدر أن + +523 +00:43:15,930 --> 00:43:20,550 +أكتب R و R شرطة، أدعى عادة أن أضع R ناقص R شرطة، هذا + +524 +00:43:20,550 --> 00:43:26,310 +يجب أن يُعطي رمز، هذا الرمز سُمّي الـ Separation + +525 +00:43:26,310 --> 00:43:29,350 +Vector. لماذا الـ Separation؟ كان المسافة من الشحنة + +526 +00:43:29,350 --> 00:43:34,550 +والنقطة، الفرق. إذن الـ Separation Vector هو يُعرّف + +527 +00:43:34,550 --> 00:43:39,210 +from the source point to the field point، من الـ + +528 +00:43:39,210 --> 00:43:45,500 +source to the field. تمام، بده يسمي... sorry، هذه الـ + +529 +00:43:45,500 --> 00:43:56,600 +R... sorry، هذه الـ D... sorry، ما فيش G هنا، R + +530 +00:43:57,430 --> 00:44:03,010 +عوجة Script، بيسموها، العلم بتغير، زمان إحنا لما كنا + +531 +00:44:03,010 --> 00:44:08,290 +نتعلم، إحنا مدارس الحكومة، علمونا الإنجليزي من الصف + +532 +00:44:08,290 --> 00:44:11,210 +الأول إعدادي، كانوا يتعاونوا مع الوكالة، يأخذوها من الصف + +533 +00:44:11,210 --> 00:44:14,270 +الخامس، تمام، فكانوا أول ما يعلمونا الإنجليزي + +534 +00:44:14,270 --> 00:44:18,860 +يعلمونا يا خط مشبك وخط مش مشبك، في خط مشبك انتهى، ما + +535 +00:44:18,860 --> 00:44:21,560 +حد بيتعلمه، يعني على الأقل الأولاد بيخلصوا وما أخذوش + +536 +00:44:21,560 --> 00:44:24,720 +خط مشبك، فلما كانوا يكتبوا بالإنجليزي بالمشبك في + +537 +00:44:24,720 --> 00:44:29,220 +بعض الحروف تتغير، من ضمنهم حرف الـ R، فهذا الحرف هو + +538 +00:44:29,220 --> 00:44:35,720 +الـ R المشبك، بالبلدي مشبك، بنسميه script R، في عدة + +539 +00:44:35,720 --> 00:44:38,920 +حروف كانت تتغير، وحروف ما بتتغيرش، بس كيف الواحد يكتبها + +540 +00:44:38,920 --> 00:44:42,540 +ما فيش فرق ما بين الحرف والحرف، يعني مش مفصلين، لازم + +541 +00:44:42,540 --> 00:44:46,080 +يكونوا مشبوكة، يعني لما الواحد يكتب مثلا الـ source + +542 +00:44:46,080 --> 00:44:52,900 +يكتبها هكذا، فتأتي الـ R هكذا، كلها متشبكة، ولا + +543 +00:44:52,900 --> 00:44:56,260 +ضبعية، لا مفصولش بين حرف وحرف، فالـ R كيف يعملوها؟ + +544 +00:44:56,260 --> 00:45:06,360 +يعملوها هكذا، ليس R لحالها، أظن هكذا غالبا، + +545 +00:45:06,360 --> 00:45:11,580 +زمان كانت هكذا، فالـ R تبعتهم هي هذه. الـ R بالبلدي + +546 +00:45:11,580 --> 00:45:16,300 +إحنا زمان كنا نعرف كلمة مشبك، بس هي script R بيسموها + +547 +00:45:16,300 --> 00:45:21,600 +اسم الرسمة تبعها، تمام، بتشبه الـ eta، بتشبه الـ eta + +548 +00:45:21,600 --> 00:45:28,940 +لكن هي الـ script R. طبعا هذا كتب ثانية، مش معتمد، هذا + +549 +00:45:28,940 --> 00:45:31,220 +يعني في الكتاب اللي أنا قلت لكم فيه، تلات كتب + +550 +00:45:31,220 --> 00:45:35,640 +أعطيتكم إياهم، الكتاب الثاني واحد، أول reference يحطها + +551 +00:45:35,640 --> 00:45:38,160 +R ناقص R شرطة، ومريح حاله، مريح حاله، مريح حاله، مريح + +552 +00:45:38,160 --> 00:45:40,500 +حاله، مريح حاله، مريح حاله، مريح حاله، مريح حاله، مريح + +553 +00:45:40,500 --> 00:45:40,960 +حاله، مريح حاله، مريح حاله، مريح حاله، مريح حاله، مريح + +554 +00:45:40,960 --> 00:45:43,120 +حاله، مريح حاله، مريح حاله، مريح حاله، مريح حاله، مريح + +555 +00:45:43,120 --> 00:45:43,200 +حاله، مريح حاله، مريح حاله، مريح حاله، مريح حاله، مريح + +556 +00:45:43,200 --> 00:45:53,200 +حاله، مريح حاله، مريح. حط... طبعا هذا هي كرسمة، بيقول لي هاي + +557 +00:45:53,200 --> 00:45:57,600 +الـ origin تبعّتك، هاي الشحنة هنا بتكون قاعدة، فهذه + +558 +00:45:57,600 --> 00:46:03,000 +بتسميها source point، الإحداثيات تبعها R شرطة. هان بدك + +559 +00:46:03,000 --> 00:46:07,840 +تجيب الـ field، فهذه الـ field point، الإحداثيات تبعها R + +560 +00:46:07,840 --> 00:46:12,920 +المسافة بينهم R script، R script اللي هي R ناقص R + +561 +00:46:12,920 --> 00:46:13,800 +شرطة + +562 +00:46:19,040 --> 00:46:22,180 +المرة الجاية هندخل على الـ Differential Calculus + +563 +00:46:22,180 --> 00:46:28,940 +اللي هو الدوال إن شاء الله رب العالمين، بنعتمد الـ... + +564 +00:46:28,940 --> 00:46:31,340 +هغيرها أنا، القاعة رسميا في قبول التسجيل، لكن أنت + +565 +00:46:31,340 --> 00:46:35,860 +هاكم عرفته أن قاعتنا حتكون دائما عادية، عشان هو + +566 +00:46:35,860 --> 00:46:38,620 +هاد بيصير ميزة ثانية، فيما لو كنتم سرحانين في + +567 +00:46:38,620 --> 00:46:41,120 +أثناء المحاضرة، بترجعوا على الـ net بتلاقوا المحاضرة + +568 +00:46:41,120 --> 00:46:45,000 +مصورة ومسجلة، فميزة أخرى. يعطيكم العافية. + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/mSsli_4yH6c_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/mSsli_4yH6c_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..e94fe7b72dfc3946139d096f732e856a317718cf --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/mSsli_4yH6c_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 4341, "start": 20.67, "end": 43.41, "text": "باسم الله الرحمن الرحيم و هنبدأ اليوم البداية الحقيقية للمادة زي ما اتفقنا في ال chapter 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determinant المحدد فصاروا يكتبوه بهذه الصيغة يعني هو أصلا هيك راحوا ضربوا طبعا لما نيجي نعمل هذا هو هيطلع aybz-azby باتجاه ال I و هكذا بنشغل فقالوا الضرب هذا", "tokens": [1211, 15042, 9122, 42213, 14407, 6024, 114, 25513, 50239, 14407, 11933, 1829, 3224, 29538, 8717, 31371, 7435, 3660, 41296, 9673, 24401, 3215, 6156, 9381, 9640, 14407, 7251, 4117, 2655, 3555, 2407, 3224, 39627, 24192, 31767, 1829, 17082, 3660, 37495, 22653, 31439, 5551, 9381, 15040, 39896, 4117, 12602, 39319, 14407, 48812, 25513, 14407, 23032, 3555, 3615, 995, 5296, 15042, 8717, 1829, 7435, 1829, 8717, 25957, 1211, 23758, 31439, 39896, 9566, 1211, 3615, 7494, 65, 89, 12, 921, 2322, 4724, 9307, 7435, 40294, 2423, 286, 4032, 8032, 4117, 15730, 44945, 8592, 17082, 1211, 6156, 4587, 6027, 14407, 6024, 114, 25513, 23758], "avg_logprob": -0.21562500089406966, "compression_ratio": 1.6019417475728155, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 1241.66, "end": 1242.04, "word": "لما", "probability": 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{"start": 1253.58, "end": 1253.76, "word": " هو", "probability": 0.94775390625}, {"start": 1253.76, "end": 1254.28, "word": " هيطلع", "probability": 0.869873046875}, {"start": 1254.28, "end": 1255.64, "word": " aybz", "probability": 0.57275390625}, {"start": 1255.64, "end": 1257.06, "word": "-azby", "probability": 0.644775390625}, {"start": 1257.06, "end": 1257.44, "word": " باتجاه", "probability": 0.86419677734375}, {"start": 1257.44, "end": 1257.6, "word": " ال", "probability": 0.5029296875}, {"start": 1257.6, "end": 1257.76, "word": " I", "probability": 0.44677734375}, {"start": 1257.76, "end": 1257.88, "word": " و", "probability": 0.74853515625}, {"start": 1257.88, "end": 1258.3, "word": " هكذا", "probability": 0.8702799479166666}, {"start": 1258.3, "end": 1259.24, "word": " بنشغل", "probability": 0.81884765625}, {"start": 1259.24, "end": 1259.88, "word": " فقالوا", "probability": 0.923095703125}, {"start": 1259.88, "end": 1260.2, "word": " الضرب", "probability": 0.94140625}, {"start": 1260.2, "end": 1260.66, "word": " هذا", "probability": 0.8642578125}], "temperature": 1.0}, {"id": 54, "seek": 128256, "start": 1261.42, "end": 1282.56, "text": "هو عبارة عن ناتج المحدد بيحطوه أسهل للطلاب بتعاملوا معاه بهذه الصيغة والناتج is a vector لأنه ضال عندي هنا في K و هنا في G و K و G و I هدول بتدلوا على اتجاه مازالوا بتدلوا على اتجاه لذا انت بتتحدث عن vector quantity", "tokens": [3224, 2407, 6225, 3555, 9640, 3660, 18871, 8717, 9307, 7435, 9673, 24401, 3215, 4724, 1829, 5016, 9566, 2407, 3224, 5551, 3794, 3224, 1211, 24976, 9566, 15040, 3555, 39894, 3615, 10943, 1211, 14407, 20449, 40294, 39627, 24192, 31767, 1829, 17082, 3660, 16070, 8315, 2655, 7435, 307, 257, 8062, 5296, 33456, 3224, 48812, 6027, 18871, 16254, 34105, 8978, 591, 4032, 34105, 8978, 460, 4032, 591, 4032, 460, 4032, 286, 8032, 3215, 12610, 39894, 3215, 1211, 14407, 15844, 1975, 2655, 7435, 40294, 3714, 31377, 6027, 14407, 39894, 3215, 1211, 14407, 15844, 1975, 2655, 7435, 40294, 5296, 15730, 16472, 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1.0}, {"id": 55, "seek": 131164, "start": 1283.04, "end": 1311.64, "text": "بالتالي النتيجة اللي طلعت عندك is a vector لما شافوا ال direction تبعها قالوا ال direction عمودي على التنين عمودي على ال A و عمودي على ال B وبالتالي عمودي على المستوى عشان كده بيقول ان المساحة is a vector quantity لأنها A cross ال B يا بنات نجيك A cross ال B هاي .. تعرف المتوازن الأضلال اللي أسمعته فيه؟", "tokens": [3555, 6027, 2655, 6027, 1829, 28239, 31371, 7435, 3660, 13672, 1829, 23032, 1211, 34268, 43242, 4117, 307, 257, 8062, 5296, 15042, 13412, 31845, 14407, 2423, 3513, 6055, 3555, 3615, 11296, 50239, 14407, 2423, 3513, 6225, 2304, 2407, 16254, 15844, 16712, 1863, 9957, 6225, 2304, 2407, 16254, 15844, 2423, 316, 4032, 6225, 2304, 2407, 16254, 15844, 2423, 363, 46599, 6027, 2655, 6027, 1829, 6225, 2304, 2407, 16254, 15844, 9673, 14851, 2407, 7578, 6225, 8592, 7649, 9122, 3215, 3224, 4724, 1829, 39648, 16472, 9673, 3794, 39319, 3660, 307, 257, 8062, 11275, 5296, 33456, 11296, 316, 3278, 2423, 363, 35186, 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"probability": 0.80999755859375}, {"start": 2096.58, "end": 2096.7, "word": " طيب", "probability": 0.6544596354166666}, {"start": 2096.7, "end": 2097.46, "word": " انا", "probability": 0.84033203125}, {"start": 2097.46, "end": 2097.74, "word": " ..", "probability": 0.244873046875}, {"start": 2097.74, "end": 2098.6, "word": " طيب", "probability": 0.5997721354166666}, {"start": 2098.6, "end": 2098.74, "word": " هو", "probability": 0.7109375}, {"start": 2098.74, "end": 2098.94, "word": " فيش", "probability": 0.615966796875}, {"start": 2098.94, "end": 2099.3, "word": " لشحنة", "probability": 0.8266845703125}, {"start": 2099.3, "end": 2099.38, "word": " في", "probability": 0.9609375}, {"start": 2099.38, "end": 2100.32, "word": " الدنيا؟", "probability": 0.961669921875}, {"start": 2100.32, "end": 2100.9, "word": " شحنات", "probability": 0.957275390625}], "temperature": 1.0}, {"id": 88, "seek": 212952, "start": 2101.76, "end": 2129.52, "text": "لو انا رسمتلك رسمك التالي انت دايما بتقول ارسم coordinates انا رسمت coordinates و اكتب خانون كلهم هالجاتي بنفعش اجيس من هان صراحة اللي بده اجيس من هان صح ولا لما ارسم coordinates معناته الجاتي بيكون من ال origin اللي رسمته انا معناته صار هذه انها مسافة، هيطة", "tokens": [1211, 2407, 1975, 8315, 12602, 38251, 2655, 23275, 12602, 38251, 4117, 16712, 6027, 1829, 16472, 2655, 11778, 47302, 15042, 39894, 39648, 1975, 2288, 38251, 21056, 1975, 8315, 12602, 38251, 2655, 21056, 4032, 1975, 4117, 2655, 3555, 16490, 7649, 11536, 28242, 16095, 8032, 6027, 7435, 9307, 1829, 44945, 5172, 3615, 8592, 1975, 7435, 1829, 3794, 9154, 8032, 7649, 20328, 23557, 5016, 3660, 13672, 1829, 47525, 3224, 1975, 7435, 1829, 3794, 9154, 8032, 7649, 20328, 5016, 49429, 5296, 15042, 1975, 2288, 38251, 21056, 20449, 8315, 47395, 25724, 9307, 1829, 4724, 1829, 30544, 9154, 2423, 4957, 13672, 1829, 12602, 38251, 47395, 1975, 8315, 20449, 8315, 47395, 20328, 9640, 29538, 16472, 11296, 47524, 31845, 3660, 12399, 39896, 9566, 3660], "avg_logprob": 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"word": " صراحة", "probability": 0.67303466796875}, {"start": 2118.14, "end": 2118.22, "word": " اللي", "probability": 0.5594482421875}, {"start": 2118.22, "end": 2118.36, "word": " بده", "probability": 0.514404296875}, {"start": 2118.36, "end": 2118.54, "word": " اجيس", "probability": 0.943603515625}, {"start": 2118.54, "end": 2118.66, "word": " من", "probability": 0.9951171875}, {"start": 2118.66, "end": 2119.02, "word": " هان", "probability": 0.9248046875}, {"start": 2119.02, "end": 2120.14, "word": " صح", "probability": 0.968505859375}, {"start": 2120.14, "end": 2120.32, "word": " ولا", "probability": 0.9638671875}, {"start": 2120.32, "end": 2121.02, "word": " لما", "probability": 0.861083984375}, {"start": 2121.02, "end": 2121.28, "word": " ارسم", "probability": 0.9534505208333334}, {"start": 2121.28, "end": 2121.94, "word": " coordinates", "probability": 0.89111328125}, {"start": 2121.94, "end": 2122.56, "word": " معناته", "probability": 0.83984375}, {"start": 2122.56, "end": 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2127.82, "end": 2128.98, "word": " مسافة،", "probability": 0.8221435546875}, {"start": 2128.98, "end": 2129.52, "word": " هيطة", "probability": 0.6861979166666666}], "temperature": 1.0}, {"id": 89, "seek": 215867, "start": 2131.8, "end": 2158.68, "text": "و هذه الها مسافة هيها وهذه ما هي إلا هذه نقص هذه صحيح ولا لأ؟ ثم كيف بدي أكتبهم؟ قالوا بيجينا نعتمد كتابة ثم high coordinates سبعته هذه النقطة طبعا كنا بنعرف النقطة في الفراغ عشان أرسملك إياها اعطاني .. اعطيني", "tokens": [2407, 29538, 2423, 11296, 47524, 31845, 3660, 39896, 11296, 37037, 24192, 19446, 39896, 11933, 15040, 29538, 8717, 4587, 9381, 29538, 20328, 5016, 1829, 5016, 49429, 5296, 10721, 22807, 38637, 2304, 9122, 33911, 4724, 16254, 5551, 4117, 2655, 3555, 16095, 22807, 50239, 14407, 4724, 1829, 7435, 1829, 8315, 8717, 34268, 2304, 3215, 9122, 2655, 16758, 3660, 38637, 2304, 1090, 21056, 8608, 3555, 34268, 3224, 29538, 28239, 47432, 3660, 23032, 3555, 3615, 995, 9122, 8315, 44945, 3615, 28480, 28239, 47432, 3660, 8978, 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b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/sIcxG_tJwkw_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..d27d3d464b99f2e3ec38cc2e3a433cc9fdd9535a --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/sIcxG_tJwkw_postprocess.srt @@ -0,0 +1,1952 @@ +1 +00:00:21,350 --> 00:00:26,310 +خلّينا نكمل إلى الـ to the green بدأنا نشرح ترمينا + +2 +00:00:26,310 --> 00:00:30,430 +بالـ coordinates تحديدا بالـ spherical coordinates + +3 +00:00:30,430 --> 00:00:35,890 +اتبعنا أن المتغيرات التلاتة المتمنة بالـ spherical + +4 +00:00:35,890 --> 00:00:40,950 +coordinates هي الـ R بالـ θ والـ 5 R يقعد نقطة على + +5 +00:00:40,950 --> 00:00:45,510 +الـ origin θ هو الزاوية بعملها R مع الـ Z axis و5 + +6 +00:00:45,510 --> 00:00:49,210 +هي الزاوية بعملها مصفقة R على الـ XY plane مع الـ + +7 +00:00:49,210 --> 00:00:54,490 +X axisوبالتالي صارت الأمور عن وراها أرض اتغير من + +8 +00:00:54,490 --> 00:01:00,130 +صفر لما نهيأ ديك تتغير من صفر لـ Pi و Phi تتغير من + +9 +00:01:00,130 --> 00:01:06,630 +صفر لـ 2 Pi عشان نعمل كل الـ space أحيانا بذلك + +10 +00:01:06,630 --> 00:01:10,050 +نغلب من Coordinates ل Coordinates وبالتالي بذلنا + +11 +00:01:10,050 --> 00:01:13,570 +الرواقات المجلة كانت فيها Coordinates و Descriptor + +12 +00:01:13,570 --> 00:01:21,180 +Coordinates فكانت جدا رواقة بينX وY وZ وR فيته + +13 +00:01:21,180 --> 00:01:30,080 +رفعي فاتفعنا إن X كم بنجيها إن هذا بدي أحلله أعمله + +14 +00:01:30,080 --> 00:01:37,180 +مصادر، بقول هي مصقته هذا بتكون R Cos فيته وبالتالي + +15 +00:01:37,180 --> 00:01:42,040 +هذا هو الـ Z فالـ Z بتسوي R Cos فيته Sorry، احنا + +16 +00:01:42,040 --> 00:01:47,740 +قلنا هذا الـ الـ Z بتسوي R Cos فيتهوين Rsinθ؟ + +17 +00:01:47,740 --> 00:01:53,400 +اتفقنا ان Rsinθ هي Rsinθ + +18 +00:01:53,400 --> 00:01:59,120 +اللي بيقع في الـ XY Plane فبالتالي، هذه اللي هي X + +19 +00:01:59,120 --> 00:02:07,800 +هي Rsinθ Cos Phi فبصير هذه Rsinθ Cos Phi وهذه + +20 +00:02:07,800 --> 00:02:16,500 +Rsinθ Cos Phiصار الفاد وبالتالي، هدول هما العلاقات + +21 +00:02:16,500 --> 00:02:20,320 +اللي بتربط الـSpherical Coordinates بالـCartesian + +22 +00:02:20,320 --> 00:02:24,660 +Coordinates أنا بعضكم أدرس مفروض أنها اتخذت + +23 +00:02:24,660 --> 00:02:27,780 +بالـMathematical Physics حاجة يسموها مصروف + +24 +00:02:27,780 --> 00:02:31,280 +للتحويلات اللي بيحول من Coordinates ل Coordinates + +25 +00:02:31,280 --> 00:02:35,920 +فيه مصمومة بتالي سهولة بيجيبها العلاقات كاشتقاة + +26 +00:02:35,920 --> 00:02:41,260 +لكن احنا في النهاية بدلاشكل هذه التفاصيل الرياضية + +27 +00:02:41,260 --> 00:02:47,340 +تبعينا نحن معنيين فقط بنتخيل الـShear Spherical + +28 +00:02:47,340 --> 00:02:50,620 +Coordinates إذا تخيلناها صح بسيط بسيط بيتعامل + +29 +00:02:50,620 --> 00:02:53,700 +معاها زي اللي احنا عارفين الـCartesian Coordinates + +30 +00:02:53,700 --> 00:02:57,800 +ونتخيلينه بكل تفاصيله بنحاول واحدة واحدة تتخيل + +31 +00:02:57,800 --> 00:03:01,480 +الـSpherical Coordinates ونتعامل معاها بيسر زي ما + +32 +00:03:01,480 --> 00:03:06,460 +نتعامل مع الـCartesian Coordinates تمام، أه، الآن + +33 +00:03:06,460 --> 00:03:11,140 +برضهالـ I و الجي و ال K unit vectors لتركيز + +34 +00:03:11,140 --> 00:03:15,360 +القوانين ال مقاطعة من ال coordinates هي ال R و ال + +35 +00:03:15,360 --> 00:03:19,900 +θ و ال ف كيف نجيب العلاقات بينهم برضه عملية سهلة + +36 +00:03:19,900 --> 00:03:23,860 +بدون ما ندخل في التفاصيل الرياضي تبعها بقول ال R + +37 +00:03:23,860 --> 00:03:30,960 +الشية R unit vector هي vector مخضر واحد باتجاه ال + +38 +00:03:30,960 --> 00:03:37,930 +R يعني هيه هذا ال vectorهذا الـ Vector عشان اكتبه + +39 +00:03:37,930 --> 00:03:41,890 +بديلات I و G و K انا كيف كنت اكتب اي Vector بديلات + +40 +00:03:41,890 --> 00:03:45,850 +I و G و K؟ احلله مش هجيب المراكبة الصينية و + +41 +00:03:45,850 --> 00:03:48,610 +المراكبة الصادية و المراكبة العينية و نحط كل واحدة + +42 +00:03:48,610 --> 00:03:50,990 +عندها ال unit vector خاصة بيها طب انا هذا ال + +43 +00:03:50,990 --> 00:03:56,590 +vector بدي احلله الى مراكباته الكارتيزية نجي نتطلع + +44 +00:03:56,590 --> 00:04:04,650 +كيف بدي احلله انا لو كان هذا هو ال Z Axis ايش هذه + +45 +00:04:04,650 --> 00:04:10,240 +الزاوية؟حسب تعريفنا ايش هي هذه الزاوية؟ فيتا + +46 +00:04:10,240 --> 00:04:19,880 +حللوني هذا اللي هو ال R بدي احلله بهذا المركب ايش + +47 +00:04:19,880 --> 00:04:22,840 +بتاخد؟ R cos فتا + +48 +00:04:26,120 --> 00:04:32,360 +الـ K صح؟ R Cos θ بتجاه الـ K طيب قولكم R Sin θ + +49 +00:04:32,360 --> 00:04:35,160 +وين بتروح؟ هذه المراكبة التانية تبعتها وراها هاتها + +50 +00:04:35,160 --> 00:04:37,360 +هذه المراكبة الأولى المراكبة التانية وراها هاتها + +51 +00:04:37,360 --> 00:04:46,960 +يعني لا هي I ولا هي J إجت هيك صح؟هذه عبارة عن واحد + +52 +00:04:46,960 --> 00:04:51,280 +في sin فيتا التي هي مجموعة تبعها واحد في sin فيتا + +53 +00:04:51,280 --> 00:04:54,700 +كوصين + +54 +00:04:54,700 --> 00:05:00,320 +الفاي باتجاه ال I واحد فيتا كوصين الفاي باتجاه + +55 +00:05:00,320 --> 00:05:08,380 +الجيه اذا هذه ال R hat تمام؟ نجي لل theta hat + +56 +00:05:08,380 --> 00:05:12,960 +نتخيل ال theta hat كيف يا بنات؟برضه تخيل بدنا يهدى + +57 +00:05:12,960 --> 00:05:17,000 +تخيلها هدى ال R ولا لا؟ عشان انا اتفقنا ال R ال + +58 +00:05:17,000 --> 00:05:20,780 +theta كيف اتجاهها احنا قلناها عموديه وباتجاه زيادة + +59 +00:05:20,780 --> 00:05:26,780 +ال theta يعني هيك صح؟ هيك هي هيك بزيادة ال theta + +60 +00:05:26,780 --> 00:05:31,660 +هيك طب بدى احلل هذا الجلام الان بدى انزل هذه + +61 +00:05:31,660 --> 00:05:38,880 +المراكبة هذه في اي اتجاه؟ ناقص Kمظبوط؟ إذا نناقص K + +62 +00:05:38,880 --> 00:05:44,600 +التانية بتجع هنا في المحور الصيني الصاضي بين الصين + +63 +00:05:44,600 --> 00:05:50,040 +والصاد إذا بتكون ال theta ناقص sin theta باتجاه ال + +64 +00:05:50,040 --> 00:05:53,840 +K اللي هي لأسفل هذا .. هذا هو ال theta حالي لو + +65 +00:05:53,840 --> 00:05:58,920 +بتكون مركبتك هنا ناقص sin theta والزاوية هذه ما هي + +66 +00:05:58,920 --> 00:06:04,640 +ال theta هذه المتممة ده theta هذه pi المتممة عتنين + +67 +00:06:04,640 --> 00:06:11,010 +ناقص thetaصحيح؟ طيب التانية بيقول .. التانية هي + +68 +00:06:11,010 --> 00:06:15,410 +بتتحللها صراحة عندك cosine of theta cosine of phi + +69 +00:06:15,410 --> 00:06:20,190 +I و cosine of theta sine of phi G حلو؟ إيش ضال + +70 +00:06:20,190 --> 00:06:26,870 +عندك؟ ال phi ال phi أصله من وين إجا؟ هي الزاوية + +71 +00:06:26,870 --> 00:06:32,610 +اللي بيعملها مسقط R هذا يعني هاي R هاي مسقطه إذا + +72 +00:06:32,610 --> 00:06:40,210 +Phi بتتوقعوها تكون أكم مركبة لهاهذا ما سقطت بس I و + +73 +00:06:40,210 --> 00:06:44,210 +J لأن هذا ما سقط عليك swipe lane وبالتالي وينها + +74 +00:06:44,210 --> 00:06:51,630 +fight تبعتك إذا كانت هيك هيك هذا هي fight حللها + +75 +00:06:51,630 --> 00:06:59,150 +بحللها هيك وهيك هذه اتجاه السين السالب وهذه اتجاه + +76 +00:06:59,150 --> 00:07:05,750 +الصادمالموجب تمام وبالتالي بيكون في عندك هذه هي + +77 +00:07:05,750 --> 00:07:11,650 +Phi فبتكون Cos Phi باتجاه الـ J ناقص Sin Phi + +78 +00:07:11,650 --> 00:07:18,210 +باتجاه الـ I أي صفصار؟ تخيلتهم؟ + +79 +00:07:18,210 --> 00:07:23,370 +خمسين في المية مش تمعان اكتر من خمسين في المية أي + +80 +00:07:23,370 --> 00:07:24,050 +صفصار؟ + +81 +00:07:26,970 --> 00:07:31,930 +هدول unit vectors لازم نتخيلهم لازم نعرف نتخيلهم + +82 +00:07:31,930 --> 00:07:40,250 +كمان مرة احنا هنستخدمهم كتير هنستخدمهم كتير لإن ال + +83 +00:07:40,250 --> 00:07:43,170 +spherical coordinates من أشهر ال coordinates اللي + +84 +00:07:43,170 --> 00:07:50,030 +تستخدم في الفيزيا و في اماحات ال quantumأخدت واحد + +85 +00:07:50,030 --> 00:07:53,750 +يعني مش عندي بس في ال classical هتاخدوها في ال + +86 +00:07:53,750 --> 00:07:57,050 +quantum بالذات هتاخدوها ال spherical coordinates + +87 +00:07:57,050 --> 00:08:02,710 +تستخدم كتير لإن أغلب المسائل الفيزيائية بتشبه ال + +88 +00:08:02,710 --> 00:08:06,030 +sphere حركتها وبالتالي ال spherical coordinates + +89 +00:08:06,030 --> 00:08:09,750 +هتستخدمها كتير فبدنا نفهمها بس مش أكتر أنا + +90 +00:08:09,750 --> 00:08:12,370 +بالنسبالي العلاقات الرياضية أنتوا عارفين أنا بديكم + +91 +00:08:12,370 --> 00:08:16,410 +إياهاوالشقاقها مش مطلوب من ليه يعني انا هدول بديه + +92 +00:08:16,410 --> 00:08:21,250 +عشانكم تحفظوهم بس بدي احاول ان اؤسس لشغل انه بدل + +93 +00:08:21,250 --> 00:08:25,470 +ما انا اشتقهم رياضيا ولا واحد اخد منكم + +94 +00:08:25,470 --> 00:08:30,320 +Mathematical Physics مع الدكتور سميرأخدته، اللي + +95 +00:08:30,320 --> 00:08:35,260 +أخده طلّع روحه مويسق هدول، و لا تمام اشتقاق اه صدق + +96 +00:08:35,260 --> 00:08:40,140 +و نسمع كمان فهذه علم اشتقاق رياضي فهمته عليا، بس + +97 +00:08:40,140 --> 00:08:45,330 +أنا مش معرف ان اشتقاق رياضي و لا هجيبهوحتى أنا + +98 +00:08:45,330 --> 00:08:48,710 +هدول نفسهم مابديش أجيكم تحفظوهم، بدي أديكم إياهم، + +99 +00:08:48,710 --> 00:08:51,330 +بس الواحد مانفعش يعطيكم حاجة و أنتم مش عارفين + +100 +00:08:51,330 --> 00:08:53,810 +الشية، يعني نعرف أن هدول الشمّة، هدول unit + +101 +00:08:53,810 --> 00:08:56,690 +vectors، بنجيبهم مدارس الـI و مدارس الـK بسهولة + +102 +00:08:56,690 --> 00:09:00,410 +جدا، تحليل، بس نتخيل عشان نتحلل، نعرف الشية الـR و + +103 +00:09:00,410 --> 00:09:04,050 +الشية الـθ و الشية الـF، وبالتالي الواحد لما بده + +104 +00:09:04,050 --> 00:09:07,810 +يكتبهم، بصير يتخيلوا يكتبوا، يعرفوا ال vector، + +105 +00:09:07,810 --> 00:09:09,890 +مابديش يستفكرهم و يحفظهم + +106 +00:09:16,270 --> 00:09:24,870 +خلّيني أذكر أنا وياكم D L يابانات بالكارتيزن + +107 +00:09:24,870 --> 00:09:33,910 +كواردينيت مين؟ اذكرني كيف كتبتها D X I قبل + +108 +00:09:33,910 --> 00:09:37,130 +ما انا امر عليهم مرة كرام ان هم السهلين وماحد + +109 +00:09:37,130 --> 00:09:41,870 +بيسألني عنهم شوم هدول؟ شي D L هي؟ شي مفهومها؟ من + +110 +00:09:41,870 --> 00:09:49,030 +يحكيلي؟يعني هو تغير موضع بسيط، جزء، يعني كان هنا + +111 +00:09:49,030 --> 00:09:53,730 +نقطة وهنا إيجاد، مظبوط ولا لأ؟ هذه DL، لما أقول + +112 +00:09:53,730 --> 00:09:56,170 +هذه النقطة عن هذه النقطة مش اختلافات، بقول دي X + +113 +00:09:56,170 --> 00:10:01,410 +تبعتها تغيرت، و Y تبعتها تغيرت، و Z تبعتها تغيرت، + +114 +00:10:01,410 --> 00:10:06,630 +بما أن كلها تغير بسيط، فدي X ودي Y ودي Z، هذه + +115 +00:10:06,630 --> 00:10:10,770 +النقطة وهذه النقطة، فبدي أتعامل معهم هجت بال + +116 +00:10:10,770 --> 00:10:14,900 +Coordinates Sphericalالـ Coordinates Spherical نجي + +117 +00:10:14,900 --> 00:10:21,160 +واحدة واحدة هاي نقطة وهي نقطة هل التنتين لهم نفس + +118 +00:10:21,160 --> 00:10:26,920 +الـR؟ مش هي الـR هي؟ بعيد نقطة عن الـorigin هتبقى + +119 +00:10:26,920 --> 00:10:30,940 +الـorigin في الجردة إذا في فرق بين R واحدة وR + +120 +00:10:30,940 --> 00:10:39,420 +اتنين هدول إيش بتسميها؟ دي R إذا هذه هتصير دي R + +121 +00:10:39,420 --> 00:10:42,460 +بأي اتجاه هذا؟ الـR هذا + +122 +00:10:47,050 --> 00:10:53,410 +زائد تمام؟ تبعين؟ حلو هاي نقطة و هاي نقطة R تبعت + +123 +00:10:53,410 --> 00:10:58,090 +هادي هيها و R تبعت هادي هيها لو اتطلعت هل التنتين + +124 +00:10:58,090 --> 00:11:04,910 +ينقلوا من نفس الـθيتا؟ لأ لأ هاي R و هاي R تصور + +125 +00:11:04,910 --> 00:11:12,380 +كيف؟ هاي R هاي R هادي فيتا غير هادي فيتاإذا في + +126 +00:11:12,380 --> 00:11:14,940 +فيتا واحد و فيتا اتنين، أيش الفرق بينهم؟ جالك فيتا + +127 +00:11:14,940 --> 00:11:24,020 +طيب، فيما لو أنا كتبت دي فيتا و + +128 +00:11:24,020 --> 00:11:32,040 +حطيت فيتهات، بنفع؟ فيزيائيا؟ و إذا بنفعش، ليش؟ + +129 +00:11:39,840 --> 00:11:44,340 +أحنا زمان أول محاضرة فيزياء ألف إيش كنا نقول زمان؟ + +130 +00:11:44,340 --> 00:11:49,740 +كنا نقول بينفعش نقول خيار بيساوي فاجوي صح؟ ذاكرين، + +131 +00:11:49,740 --> 00:11:57,880 +تمام، حلو إيش واحد يتهدي؟ إيش واحد يتهدي؟ متر؟ متر + +132 +00:11:57,880 --> 00:12:05,740 +أو صنطي، متر هادي؟ هادي متر؟ بينفعش؟بداك مسافة انت + +133 +00:12:05,740 --> 00:12:11,020 +مافعلي تقولي زاوية طب ممكن كيف ازوي ارجع هاي نقطة + +134 +00:12:11,020 --> 00:12:15,440 +و هاي نقطة تمام البعد بينهم دي R البعد بين هذه و + +135 +00:12:15,440 --> 00:12:20,760 +هذه في جوس اجاك بداك الجوس انت بداك الجوس مش + +136 +00:12:20,760 --> 00:12:24,460 +الزاوية و كيف اجيب الجوس؟ جالي نص قطر في الزاوية + +137 +00:12:24,460 --> 00:12:28,780 +المحصورة الزاوية المحصورة هي دي فيتا اذا بناك تحط + +138 +00:12:28,780 --> 00:12:30,300 +هنا R + +139 +00:12:32,980 --> 00:12:38,780 +أي جيش صار كله خيار لأنه هذا متر وهذا متر وهذا متر + +140 +00:12:38,780 --> 00:12:48,960 +صح الكلام، مظبط ولا لأ، تمه، نرجع، هاي إنه كتين، + +141 +00:12:48,960 --> 00:12:51,800 +اتفاجنا، بدها تسجد هذه على الأرض وهذه على الأرض + +142 +00:12:53,130 --> 00:12:57,890 +تمام؟ قطعا هادي و هادي فايه تبعتهم تختلف لإن هادي + +143 +00:12:57,890 --> 00:13:00,850 +هتسقط هان و هادي هتسقط هان إذا كل واحدة لها فايه + +144 +00:13:00,850 --> 00:13:06,070 +خاصة بيها إذا في دالتا فايه إذا في دالتا فايه + +145 +00:13:06,070 --> 00:13:12,070 +بينفع أخد دالتا فايه؟ لا انت بده تجوس انت بده تجوس + +146 +00:13:12,070 --> 00:13:15,710 +بإنه هي نبطة و هي نبطة إيش الجثة ده؟ نص القطر في + +147 +00:13:15,710 --> 00:13:20,050 +الزاوية المحصورة طب هذه نص القطر إيه؟ هو نفسه اه؟ + +148 +00:13:20,050 --> 00:13:25,960 +ولا ما سقطه؟إذاً هذا هو R Sine الزاوية إذاً هذا هو + +149 +00:13:25,960 --> 00:13:34,080 +R Sine فيتا D Phi باتجاه الـ Phi هاي الدي إيه؟ هاي + +150 +00:13:34,080 --> 00:13:38,060 +الدي إيه اللي؟ + +151 +00:13:38,060 --> 00:13:46,050 +اسأليني؟ حلو احنا اتفجناالنقطين اللي كانوا هان + +152 +00:13:46,050 --> 00:13:49,330 +سجتهم على الأرض، مسقطهم بالدي إجت نقطة هان، قليني + +153 +00:13:49,330 --> 00:13:54,030 +أحطهم هنا نقطة هان و نقطة هان، تمام؟ هذه فاية + +154 +00:13:54,030 --> 00:13:57,150 +تبعتها غير عن فاية تبعتها هذه، بدي الجثث بينهم هذا + +155 +00:13:57,150 --> 00:14:01,910 +الجثث هذا إيش بيساوي؟ بيساوي نص القطر في الزاوية + +156 +00:14:01,910 --> 00:14:04,670 +المحصورة، الزاوية المحصورة دي فاية لكن نص القطر + +157 +00:14:04,670 --> 00:14:09,930 +هذا هو R ولا مسقطه؟هذا اللي يأتي على الأرض R هذا + +158 +00:14:09,930 --> 00:14:14,490 +ولا مصقته؟ مصقته طب مصقته كيف بدي أجيبه؟ إذا كانت + +159 +00:14:14,490 --> 00:14:18,390 +هذه R بدي مصقته، إذا كانت هذه فيتا، مش مصقته هذا + +160 +00:14:18,390 --> 00:14:24,790 +هو R sin فيتا؟ هذه مصقته، هو R sin فيتا اللي نزلي + +161 +00:14:24,790 --> 00:14:32,830 +تحت، هذا نصقته اللي بدي إياه، أي استثمار يبناته؟ + +162 +00:14:32,830 --> 00:14:39,400 +طب أنا أحلف يا مين؟ مش كلكم فاهمين؟ أحلف؟حالتي صح + +163 +00:14:39,400 --> 00:14:48,640 +ولا لأ؟ في حاجة بدي اسأل؟ احكي البراوة + +164 +00:14:48,640 --> 00:14:53,320 +عليكي ليش مش على ال Y النقطة هيها شوف انت هي Xك + +165 +00:14:53,320 --> 00:15:02,120 +وهي Yك وهي Zك وهي النقطة اضغطيها ايجت على ال X ولا + +166 +00:15:02,120 --> 00:15:05,440 +على ال Y؟ وقتش بتيجي على ال Y لما تكون النقطة على + +167 +00:15:05,440 --> 00:15:10,350 +الحياطة هذهتسقطها تيجي على ال axis و لا و أنا بجيب + +168 +00:15:10,350 --> 00:15:14,470 +أنا نقطة عشوائية بالفراغ ولا لأ تطلع على ال Y؟ لأ + +169 +00:15:14,470 --> 00:15:18,610 +هذا .. هذا يعني هي نقطة هنا برضه أرجع فلتكم من + +170 +00:15:18,610 --> 00:15:22,670 +الأرض هذا X axis يا بنات أو خلينا نقول هذا X و هذا + +171 +00:15:22,670 --> 00:15:26,950 +Y و ال Z اللي فوق تمام؟ عنده نقطة هنا اسقطوها على + +172 +00:15:26,950 --> 00:15:32,700 +الطاولةهيها .. تيجي هان .. تيجيش هان .. اللي كانت + +173 +00:15:32,700 --> 00:15:36,640 +مذكة في الحطة اللي هان .. صح؟ هي هنا عشان تيجي هان + +174 +00:15:36,640 --> 00:15:39,220 +.. الـGeneral قالت تيجي هان .. حالة خاصة تيجي هان + +175 +00:15:39,220 --> 00:15:42,720 +لما تكون الـΫيتا صغير .. مظلوم؟ .. إذا انتصرت هان + +176 +00:15:42,720 --> 00:15:47,380 +.. غيرها .. غيرها دي الأسئلة البسيطة اللي بتاعترضه + +177 +00:15:47,380 --> 00:15:50,840 +أنها بسيطة .. هي بتخلي الواحد يفكر .. يقدر يستوعب + +178 +00:15:50,840 --> 00:15:55,040 +الشيء الـspherical coordinates .. افهمتين يا بنتي؟ + +179 +00:15:55,040 --> 00:15:55,960 +غيرها .. + +180 +00:16:01,000 --> 00:16:04,620 +شوفوا إذا وصلت تلاتين واربعين في المية أنا راضي، + +181 +00:16:04,620 --> 00:16:09,620 +تبقى مقدش تلاتين واربعين في المية، أنا راضي أما + +182 +00:16:09,620 --> 00:16:16,720 +سبعين و تمانين صعب عارف؟ لسه بدري، احكي برا عليك + +183 +00:16:16,720 --> 00:16:21,990 +تمام هي شوفي مش هيو هيو هي عار اسخطي هيومش هي + +184 +00:16:21,990 --> 00:16:25,910 +مسقطه، هي أسقطه إذا هذا هو الـ X-axis، هذه الزاوية + +185 +00:16:25,910 --> 00:16:29,770 +هي الـ X-axis، هي Phi الزاوية بيعملها المسقط مع + +186 +00:16:29,770 --> 00:16:37,490 +الـ X-axis احنا اتفقنا ال R، جيبوا لكم خيط من عند + +187 +00:16:37,490 --> 00:16:43,150 +النقطة لل origin، خيط، هي R، اسقطوه، المسقط اللي + +188 +00:16:43,150 --> 00:16:48,590 +صار معاكم بيجي خيط تانيهذا بعمل زاوية مع الـ X + +189 +00:16:48,590 --> 00:16:52,190 +-axis ومع الـ Y-axis الـ Default Galon مع X-axis + +190 +00:16:52,190 --> 00:17:02,290 +سميها Phi عشان بس تتخيلها تمام غيرها حلو بس أمحي + +191 +00:17:02,290 --> 00:17:07,430 +هذه الخربش دي اللي عملتها هو + +192 +00:17:07,430 --> 00:17:12,050 +طبعا أنا جيبت نصمة نتخيلها كمان مرة جالي خليني + +193 +00:17:12,050 --> 00:17:21,300 +نشوف لو كانت أنا في عندىنقطة هنا هي R و خلّيني + +194 +00:17:21,300 --> 00:17:26,100 +أقول نقطة هنا على أساس النقطة إذا كانت هذه النقطة + +195 +00:17:26,100 --> 00:17:31,910 +هادي ولا هاديخلّيني أقول هذه، هذه نقطتين جالي بين + +196 +00:17:31,910 --> 00:17:37,370 +هذه وبين هذه في دلتة R هذه سهلة هجيت هذه المسافة + +197 +00:17:37,370 --> 00:17:40,470 +اللي أنا بدي إياها اللي هي هذه المسافة اللي هي هذه + +198 +00:17:40,470 --> 00:17:45,490 +المسافة الجوس تقريبا جالي هذه هي هذه هذه عبارة عن + +199 +00:17:45,490 --> 00:17:52,270 +R دي فيتا هجيت نجلة ما أسقط هذه أسقطيها أسقطيها + +200 +00:17:52,270 --> 00:17:57,990 +هذه وهذه أسقطيها أسقطيها هذه هجيت هذه هي فاي وهذه + +201 +00:17:58,950 --> 00:18:06,070 +فاي زائد دلتا فاي فصرت هذه الجوز الفرق عبارة عن دي + +202 +00:18:06,070 --> 00:18:11,110 +فاي فيه إيش في هذا نص القطر كده نص القطر؟ R sin + +203 +00:18:11,110 --> 00:18:21,690 +فهي دي L هي دي L لسه اللي جاي أصعب اللي جاي أصعب + +204 +00:18:21,690 --> 00:18:26,510 +بدي ال volume في + +205 +00:18:26,510 --> 00:18:27,530 +ال Cartesian Coordinates + +206 +00:18:30,020 --> 00:18:33,400 +بسرعة ليه؟ دي اكس دي واي دي زد اه دي اكس دي واي دي + +207 +00:18:33,400 --> 00:18:38,720 +زد طب يبقى ليه ال volume من هنا اشي + +208 +00:18:38,720 --> 00:18:42,600 +ديش سويت هنا عملين نفس العملية هنا اش في دي R و + +209 +00:18:42,600 --> 00:18:50,860 +هنا R دي فيتا و هنا R و R R كربيع sign فيتا D فيتا + +210 +00:18:50,860 --> 00:18:54,260 +D فاي دي R مرة عليكم؟ + +211 +00:18:57,200 --> 00:19:01,500 +إن شاء الله ما مرّش لأ وين ممرّش؟ ممرّكتيه ال + +212 +00:19:01,500 --> 00:19:06,380 +speaker coordinates ال volume صح ولا لأ؟ ليست + +213 +00:19:06,380 --> 00:19:12,200 +رحانة ولا حمسة ولا سؤال ولا تعليق؟ إشي اللي مش + +214 +00:19:12,200 --> 00:19:19,880 +ماضي؟ حلو أخر واحدة كيف جات؟ طيب جبيلي أول ال + +215 +00:19:19,880 --> 00:19:26,630 +volume بالcartesian coordinates كيف جت؟كيف اتيت؟ + +216 +00:19:26,630 --> 00:19:31,670 +اه كيف اتيت؟ اه ما هو كيف اتيت؟ كيف جبتيها دي x دي + +217 +00:19:31,670 --> 00:19:37,470 +y ازاي تول؟ ضربتي الأول في التاني في التالت؟ ضربتي + +218 +00:19:37,470 --> 00:19:39,790 +الأول في التاني في التالت؟ اعملي تحت ايه، ضرب + +219 +00:19:39,790 --> 00:19:44,850 +الأول في التاني في التالت؟ + +220 +00:19:44,850 --> 00:19:50,750 +ضربيهم، اتشوفيهم، صح معاك ولا لا؟ اضرب التلاتة دي + +221 +00:19:50,750 --> 00:19:56,740 +R في Rبس انا عيدي ترتيبهم مش في R و في R هاي R + +222 +00:19:56,740 --> 00:19:59,480 +تربيع، شايفاهم الـR و الـR؟ و فيه sign فيه؟ طبعا + +223 +00:19:59,480 --> 00:20:05,540 +مافيش، ضربت هذا في هذا، طلع هذا و هذا هو هذا، و + +224 +00:20:05,540 --> 00:20:16,040 +بعدين هذا و هذا و هذا، هدهم، ضربتم بعض، صح؟ طيب، + +225 +00:20:16,040 --> 00:20:20,180 +بدي ال areas، ال surfaces بال characters و + +226 +00:20:20,180 --> 00:20:21,680 +coordinates، كيف نجيبهم؟ + +227 +00:20:25,010 --> 00:20:31,550 +DX DY DX DX BY BY BY BY BY BY BY BY BY BY BY BY BY + +228 +00:20:31,550 --> 00:20:36,190 +BY BY BY BY BY + +229 +00:20:36,190 --> 00:20:36,250 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +230 +00:20:36,250 --> 00:20:36,390 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +231 +00:20:36,390 --> 00:20:36,590 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +232 +00:20:36,590 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +233 +00:20:50,270 --> 00:20:59,770 +DX DY بيكونش ثابت الـ Z أي عنصر على الأرض DX + +234 +00:20:59,770 --> 00:21:04,970 +DZ لإن هي X و Y الفوق DX DZ أي عنصر على الحيطة هذه + +235 +00:21:04,970 --> 00:21:14,170 +DY DZ صح؟لما قلت انا DXDY على اللوحة قلت Z ثابتة + +236 +00:21:14,170 --> 00:21:19,950 +DXDY طيب ساعتها ايش بدكم تتخيلولي انتوا تخيلولي + +237 +00:21:19,950 --> 00:21:23,650 +نملة قاعدة واقفة تمشي على حيطة نملة وين ما تحط + +238 +00:21:23,650 --> 00:21:29,830 +رجلها على الحيطة ادي Z ثابتة ولا لا؟ حلو نرجع حال + +239 +00:21:29,830 --> 00:21:37,330 +جيت هاي عندى بطيخة كرة ولا لا؟ بدي نملة تمشي على + +240 +00:21:37,330 --> 00:21:45,090 +سطحR تبعها مايتغيرش، يكون ثابت أي سطح؟ السطح + +241 +00:21:45,090 --> 00:21:50,250 +الخارجي، على القشرة بتكون R طول ما هي ماشية بتغير + +242 +00:21:50,250 --> 00:21:57,030 +θ و بتغير ف لكن بيتغيرش R إذا هذا من وين بيجي؟ من + +243 +00:21:57,030 --> 00:22:01,430 +ثبات R من ثبات R يعني ثبت هذا، يعني هذا يعني + +244 +00:22:01,430 --> 00:22:06,910 +المفروض أنه لو ضابط R في R sin θ D θ D ف يطلع عند + +245 +00:22:06,910 --> 00:22:13,610 +السطح الخارجي للقرآنعيد دي + +246 +00:22:13,610 --> 00:22:24,390 +أس بتساوي R تربيع sin فيتا دي فيتا دي فيا ايش + +247 +00:22:24,390 --> 00:22:29,690 +عملت؟ ضربت هادة في هادة ساعتها ايش اللي بيكون + +248 +00:22:29,690 --> 00:22:36,790 +ثابت؟ الـR هذا هو السطح الخارجي تبع الكره + +249 +00:22:43,620 --> 00:22:51,700 +صح؟ تمه؟ طب جبل ما نكمل هو احنا قلنا هنا dx dy لو + +250 +00:22:51,700 --> 00:22:58,620 +اتيت كملتها dx dy كملتها ايش بطلع؟ انا من وين اجمع + +251 +00:22:58,620 --> 00:23:03,220 +خدها ال dx dy هذه؟ من الحياطة هذه؟ بدي اكملها من + +252 +00:23:03,220 --> 00:23:06,820 +أول الحياطة لأخرها و من أول الحياطة لأخرها ايش بدأ + +253 +00:23:06,820 --> 00:23:12,190 +تطلع معايا؟ مساحات A في Bلو كمان الـDXDY من صفر + +254 +00:23:12,190 --> 00:23:20,150 +لـA من صفر لـB XY FB طيب ده كاملها دي لما كمان + +255 +00:23:20,150 --> 00:23:23,830 +الـDXY طلعت مساحة الحياطة هنا جيبها تطلع مساحة + +256 +00:23:23,830 --> 00:23:32,530 +الكورة جديش مساحة الكورة؟ جديش؟ أربعة باي أر تربيع + +257 +00:23:32,530 --> 00:23:39,500 +المساحة الجانبية للكورة صح؟ كملوها يلّا نكملهاطبعا + +258 +00:23:39,500 --> 00:23:43,380 +R ثابتة ممكن تجيب نصف قطر هاي الـ R تربيها ايش + +259 +00:23:43,380 --> 00:23:47,020 +بيظهر عندك؟ من صفر إلى اتنين باي و من صفر إلى باي + +260 +00:23:47,020 --> 00:23:52,560 +صين فيتا دي فيتا دي فاي الـ D فيها ممكن تجيب في من + +261 +00:23:52,560 --> 00:23:56,800 +صفر إلى اتنين باي يلا كملولي الصين فيتا دي فيتا + +262 +00:23:56,800 --> 00:24:07,440 +فيتا كم من الصين؟ قصان الـ باي سالق واحد و قصان + +263 +00:24:07,440 --> 00:24:18,870 +الصفر1-1-1-2 وفي سلب 2 و2π 4π وفي أر تربيع طلع بحو + +264 +00:24:18,870 --> 00:24:25,070 +4π أر تربيع صح الكلام ولا لا أربع + +265 +00:24:25,070 --> 00:24:29,030 +باي أر تربيع طيب + +266 +00:24:29,030 --> 00:24:39,340 +عامد الله طيب هذا السطح الخارجي ايش سبتناR بدي + +267 +00:24:39,340 --> 00:24:46,760 +أثبت θيتا إيش بتتخيلوا سطح يطلع معاكم؟ + +268 +00:24:46,760 --> 00:24:55,900 +بدي سطح بدي سطح بدي نملة تمشي على سطح ع نص الكورة + +269 +00:24:55,900 --> 00:24:59,420 +من هيك + +270 +00:24:59,420 --> 00:25:05,640 +تلع عليها جيبوا السكينة والبطيخة جسوها هيك من النص + +271 +00:25:05,640 --> 00:25:10,730 +تماماتخيلتوها؟ في حد عمره ماكنش فاطيخ؟ كلكم + +272 +00:25:10,730 --> 00:25:16,290 +متخيلينها طيب و جيبوا تخيلوا نملة قاعدة بتمشي على + +273 +00:25:16,290 --> 00:25:20,830 +هيك طبعا و هي بتمشي رايحة جاية ارض بعضها بتتغير + +274 +00:25:20,830 --> 00:25:26,430 +بتخش جوا ارض تصغر تطلع برا ارض بتكبر بتلف fire + +275 +00:25:26,430 --> 00:25:29,410 +بتتغير هلقيت جيبوه تشوفوا انتوا تخيلوا النملة و + +276 +00:25:29,410 --> 00:25:33,450 +جيبوا حبل من عند النملة لعند ال centerوطول ما هي + +277 +00:25:33,450 --> 00:25:35,850 +ماشية .. شوفوا ليه جديش الزاوية اللي بيعملها الخيط + +278 +00:25:35,850 --> 00:25:42,030 +هذا مع ال z axis هاي + +279 +00:25:42,030 --> 00:25:49,150 +.. هاي الخيط .. جديش الزاوية؟ تسعين .. بتغير؟ إذا + +280 +00:25:49,150 --> 00:25:53,190 +في تثابتة .. إذا في تثابتة .. طبعا لو طلعت السكين + +281 +00:25:53,190 --> 00:25:57,760 +اللي فوق شويةتمام؟ ممكن الزاوية تكون مش تسعين + +282 +00:25:57,760 --> 00:26:00,360 +بالظبط تفهمون اللي عندنا فانتوا عليها يعني تصير + +283 +00:26:00,360 --> 00:26:04,860 +الزاوية مختلفة بحسب لأ ارمى الثابتة ليش؟ لأ لو + +284 +00:26:04,860 --> 00:26:08,220 +كانت تسعين هيكون الأرض تبقى زمان مافهمش عارف .. لأ + +285 +00:26:08,220 --> 00:26:11,660 +مين جالك يا بنتي هلجيت انت .. تخيلتي هي .. هي .. + +286 +00:26:11,660 --> 00:26:16,280 +هي الدائرة صح؟ هيجيت هي نقطة وهي نقطة هذه نقطة وهي + +287 +00:26:16,280 --> 00:26:20,820 +نقطة هذه أرض اتبعتها غير عن هذه لكن هم هي نقطة وهي + +288 +00:26:20,820 --> 00:26:27,340 +نقطة تمام؟ هذه ولا هذه؟نفس الـ theta ولا لا؟ إذا + +289 +00:26:27,340 --> 00:26:32,440 +نام مش نفس ال R هذه نقطة وهذه نقطة هذه بعضها غير + +290 +00:26:32,440 --> 00:26:37,540 +عن بعضها دي يعني أنا مش بالضرورة أمشي على محيط + +291 +00:26:37,540 --> 00:26:42,080 +عشان ال theta تكون ثابتة طول ما أنا هذا الخيط ماشي + +292 +00:26:42,080 --> 00:26:45,740 +عليه ال theta تبعتي ثابتة وهي ال R تبعتي ثابتة + +293 +00:26:45,740 --> 00:26:49,820 +تغير من دلوقتي هنا فاهمتيني؟ لأ + +294 +00:26:52,400 --> 00:26:56,120 +ما هو انا مش قادر ارسم دائرة لو انا عملت هيك + +295 +00:26:56,120 --> 00:27:04,260 +اتخيريها هي هادى الأفقية تمام هجيت هاي هادى نقطة + +296 +00:27:04,260 --> 00:27:09,320 +وهادى نقطة اللي هو نفس ال R تمام على اعتبار انه .. + +297 +00:27:09,320 --> 00:27:14,600 +اعتبره انه theta هيك هل theta هادي و theta هادي + +298 +00:27:14,600 --> 00:27:23,440 +واحد تحكيه نفس ال thetaلكن قرن مختلفة ولا لأ؟ إذا + +299 +00:27:23,440 --> 00:27:31,660 +قرن مختلفة طب + +300 +00:27:31,660 --> 00:27:39,560 +أي سطح قولكم بتكون فاي ثابتة فيه؟ قولكم إيش تسووا + +301 +00:27:39,560 --> 00:27:44,960 +بس؟ أو ممكن شجعتوا سكينة بالطول؟ بس شجعوا هيك و + +302 +00:27:44,960 --> 00:27:51,260 +خلّوا تمشي هنا بتلوف؟ بتلوفشبتلفش، بتضلها على + +303 +00:27:51,260 --> 00:27:56,240 +السطح حادة فهمتوا عليا كيف؟ هذه الأسطح التلاتة، + +304 +00:27:56,240 --> 00:28:00,960 +بيقوللي هذه الـDL، طبعا أنا بعطيكم الـDL يا بنات + +305 +00:28:00,960 --> 00:28:04,210 +دايمادي ايه اللي انا باعطيكم إياها؟ لكن انا + +306 +00:28:04,210 --> 00:28:09,530 +باعطيكوش لا دي تاو ولا دي اس وطبعا اي دي اس انت + +307 +00:28:09,530 --> 00:28:13,690 +ممكن تحدده لأنه اضرب هادي في هادي ولا هادي في هادي + +308 +00:28:13,690 --> 00:28:18,190 +ولا هادي في هادي انت ممكن تحدده بيقول لي بالتالي + +309 +00:28:18,190 --> 00:28:23,320 +تلقائيا the volume element ده هو الدي تاوهذا هو .. + +310 +00:28:23,320 --> 00:28:26,320 +ايه سويت انا؟ هل جيت الـ tau؟ دربته من التلاتة مع + +311 +00:28:26,320 --> 00:28:31,500 +بعض طيب for the surface elements عندي تلاتة + +312 +00:28:31,500 --> 00:28:38,060 +surfaces اللي توا احنا عملناهم مع بعض دي + +313 +00:28:38,060 --> 00:28:42,760 +أس واحد خليت فاي constant خليت فاي constant + +314 +00:28:42,760 --> 00:28:47,390 +وبالتالي دربت هادي في هاديمثلًا خلّيت فاي constant + +315 +00:28:47,390 --> 00:28:51,790 +ضربت هادي في هادي وبيكون باتجاه الفاي صح او لا + +316 +00:28:51,790 --> 00:28:57,750 +تمام التاني دي اس اتنين فيتا is constant ضربت هادي + +317 +00:28:57,750 --> 00:29:03,070 +في هادي هادي في هادي فهمتوا علي كيف؟ والتالتة R is + +318 +00:29:03,070 --> 00:29:07,610 +constant ضربت هادي في هادي اللي هي السطح الخارجي + +319 +00:29:07,610 --> 00:29:10,650 +والسطح الخارجي طبعا متوقعينه انتوا باتجاه ال R + +320 +00:29:10,650 --> 00:29:14,270 +انتوا باتجاه أنصف الأقطار تمام؟ حلو + +321 +00:29:17,850 --> 00:29:21,830 +هيجينا أكتر من مرة و نعاود نتخيل واحد و نطبق مش + +322 +00:29:21,830 --> 00:29:29,350 +هنا تمام طبعا هم بيقولوا لو كان دي بالسفير حجمه + +323 +00:29:29,350 --> 00:29:37,120 +كدهش هدي بالسفير4 ع 3πr تكعيب انت لو كملت dx dy dz + +324 +00:29:37,120 --> 00:29:40,840 +من صفر ل L من صفر ل L من صفر ل L بتطلع L تكعيب ولا + +325 +00:29:40,840 --> 00:29:45,140 +لأ حجم المكعب بدك تكامل من صفر ل A من صفر ل B من + +326 +00:29:45,140 --> 00:29:48,180 +صفر ل C بتطلع عندك A في B في C حد متوازن من + +327 +00:29:48,180 --> 00:29:54,760 +السطيلات طب لو بدك تكامل هذا لازم يطلع معاك 4 ع + +328 +00:29:54,760 --> 00:30:02,360 +3πr تكعيبصح وانا لأ كيف بقوله ال D5 بتعطيني 2π و + +329 +00:30:02,360 --> 00:30:10,100 +sin θ تو طلعت 2 هي 4π و R تربيع R تكعيب على 3 فده + +330 +00:30:10,100 --> 00:30:10,580 +هي طنات + +331 +00:30:17,250 --> 00:30:21,570 +زي ما تقول كملت ال area طبعا انا كملت ال area هادى + +332 +00:30:21,570 --> 00:30:24,470 +ممكن تكمل ال area هادى و تكمل ال area هادى و لما + +333 +00:30:24,470 --> 00:30:27,850 +تكمل ال area هادى يتوج النهر لبطيخة الأفقية بتطلع + +334 +00:30:27,850 --> 00:30:32,150 +مساحة دائرة بيارتردية مظبوط ولا لأ فكلها ممكن تيجي + +335 +00:30:32,150 --> 00:30:39,210 +بهذا ال كيفية طيب يقولون طب كده يجيب ال gradient + +336 +00:30:39,210 --> 00:30:42,850 +بال spherical coordinates ايش ال gradient ده احنا + +337 +00:30:42,850 --> 00:30:47,560 +خدناه ال gradient ذاكرينه؟أه حلو يعني زي ما خدينه + +338 +00:30:47,560 --> 00:30:58,820 +زي ما ذاكرينه تمام خليني أكتبه كامل بصوت عالي تجيه + +339 +00:30:58,820 --> 00:31:02,940 +ال K هجيه X و Y و Z و I و J و K كارتيزي يعني دول + +340 +00:31:02,940 --> 00:31:06,860 +صح؟ خدوه الملوم يدعوه بالاسفلتكال بكتبتهم إنه + +341 +00:31:06,860 --> 00:31:10,120 +بالاسفلتكال بدي استقاق جديد بدي أجيبهم بالاسفلتكال + +342 +00:31:10,120 --> 00:31:13,480 +أشوف إيش بزويعشان يجيبوه من الاسفلكة و قولت انت + +343 +00:31:13,480 --> 00:31:15,440 +كده جيبتهم من ال كارتيزان و قولت له اه هيك جيبتهم + +344 +00:31:15,440 --> 00:31:21,300 +من ال كارتيزان قولت انت دي تي دي تي بسوية دلتة تاي + +345 +00:31:21,300 --> 00:31:27,460 +دوت دي إل هيك عملتها من أول قولت دي إل كانت زمان + +346 +00:31:27,460 --> 00:31:33,560 +دي إكس و دي وي و دي زد هجي تغيرت اغيرها فهذه دي إل + +347 +00:31:33,560 --> 00:31:39,270 +مش هي تلت مركبات عندهمهذه الأولى وهذه الثانية وهذه + +348 +00:31:39,270 --> 00:31:43,910 +الثالثة خلّيني أقول دي ار التانية ار دي ثيتا + +349 +00:31:43,910 --> 00:31:48,270 +والتالتة ار ساين ثيتا دي فاي مظبوط ولا لأ؟ حلو + +350 +00:31:48,270 --> 00:31:54,730 +هدول شم الدي ال هي الدي ال هي أول مركبة هذه دي ال + +351 +00:31:54,730 --> 00:32:01,290 +ار هذه دي ال ثيتا بنفعش أقول دي ثيتا بيساوي دي ال + +352 +00:32:01,290 --> 00:32:09,590 +لأنه متر ومتر بيصير الخيار فجوس بنفعشوهذه هي دي + +353 +00:32:09,590 --> 00:32:16,510 +الـ Phi وهذه دي الـ Theta وهذه دي الـ R كمركبات + +354 +00:32:16,510 --> 00:32:23,020 +اتفقنا؟ اتفقناقال لي طيب لما انت هديك في او تاني + +355 +00:32:23,020 --> 00:32:28,060 +او تالت محاضرة و قال لي لو كانت T بتساوي T as a + +356 +00:32:28,060 --> 00:32:32,340 +function of X و Y و Z قولي دي T بيساوي partial T + +357 +00:32:32,340 --> 00:32:37,340 +على partial X DX و اعملت X صح ولا لأ طب هجيت انت T + +358 +00:32:37,340 --> 00:32:44,020 +بدك ايها كارتيزيا بديها R و في توفركيف يجيب دي دي + +359 +00:32:44,020 --> 00:32:47,120 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +360 +00:32:47,120 --> 00:32:49,260 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +361 +00:32:49,260 --> 00:32:49,340 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +362 +00:32:49,340 --> 00:32:49,580 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +363 +00:32:49,580 --> 00:32:52,980 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +364 +00:32:52,980 --> 00:32:54,660 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +365 +00:32:54,660 --> 00:33:01,700 +دي دي دي دي دي + +366 +00:33:12,920 --> 00:33:21,720 +سوّيهم أبضعات دي R دي R دي ثيتا دي ثيتا دي فايل دي + +367 +00:33:21,720 --> 00:33:29,120 +فايل معناته هذا بيجي ساوي هذا هذا + +368 +00:33:29,120 --> 00:33:38,160 +بيجي ساوي هذا صحيكوا أم لا؟ وهذا بيجي ساوي هذا + +369 +00:33:43,400 --> 00:33:47,180 +مش انا اقعد بقارن بقولي هذا هو نفسه هذا، اذا + +370 +00:33:47,180 --> 00:33:52,120 +معناته هذا هو هذا، هذا هو هذا، ان هي دي فيتا، هه، + +371 +00:33:52,120 --> 00:33:57,060 +زبطت معايا، معناته دليل الـT كان R component + +372 +00:33:57,060 --> 00:34:02,800 +بيساوي partial T على partial R، دليل الـT في فيتا + +373 +00:34:02,800 --> 00:34:06,780 +component واحد على R partial T على partial فيتا، + +374 +00:34:06,780 --> 00:34:11,320 +صح ولا لأ؟ اعيد كمان مرة، انا جيت بقارن معادلتين + +375 +00:34:12,740 --> 00:34:17,820 +بقدر اقول delta T ك R component سوى partial T على + +376 +00:34:17,820 --> 00:34:25,840 +partial R؟ بقدر هيك اقول؟ طيب، بدي هذه هجيتي دل ال + +377 +00:34:25,840 --> 00:34:32,100 +T كفيتا component بتسوى 1 على R partial T على + +378 +00:34:32,100 --> 00:34:39,970 +partial فيتا عشان ال R اللي هنا صح؟ ودل ال Tكفاية + +379 +00:34:39,970 --> 00:34:50,510 +كومبونيت متساوي 1 على r sin θ partial t صح بقدر + +380 +00:34:50,510 --> 00:34:58,660 +اقول هال gateالـ T بتساوي partial T ع partial R R + +381 +00:34:58,660 --> 00:35:03,260 +hat واحد على R partial T ع partial فتة فتة hat + +382 +00:35:03,260 --> 00:35:09,980 +واحد على R sin فتة partial T ع partial فاي فاي hat + +383 +00:35:09,980 --> 00:35:15,440 +امالها؟ + +384 +00:35:15,440 --> 00:35:21,480 +زي ان انت مش مفترح طلعي + +385 +00:35:21,480 --> 00:35:22,820 +التاني مربع فوق + +386 +00:35:28,650 --> 00:35:41,990 +المربع حادى بيساوي هذا المربع + +387 +00:35:45,390 --> 00:35:50,610 +هذا المربع هو هذا بالمقارنة ايش فيه المربع هذا + +388 +00:35:50,610 --> 00:35:55,990 +delta T ثيتا مضروف في R سواء partial T او partial + +389 +00:35:55,990 --> 00:36:01,190 +ثيتا بقولك + +390 +00:36:01,190 --> 00:36:06,250 +مش مخترق بينا + +391 +00:36:06,250 --> 00:36:10,050 +بس الواحد مش مركز سماء غيرها + +392 +00:36:13,410 --> 00:36:21,350 +تمام؟ طيب تظل عليا لسه اكتبيلي الدل اللى نجلتني + +393 +00:36:21,350 --> 00:36:24,530 +إياها بالكارتيزين كواردينس بالكارتيزين كواردينس + +394 +00:36:24,530 --> 00:36:33,890 +بالكارتيزين كواردينس بالكارتيزين + +395 +00:36:33,890 --> 00:36:36,090 +كواردينس بالكارتيزين كواردينس بالكارتيزين كواردينس + +396 +00:36:36,090 --> 00:36:36,330 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +397 +00:36:36,330 --> 00:36:36,370 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +398 +00:36:36,370 --> 00:36:36,450 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +399 +00:36:36,450 --> 00:36:37,370 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +400 +00:36:37,370 --> 00:36:39,490 +بالكارتيزين كواردينس بالكارتيزين كواردينس بال + +401 +00:36:46,000 --> 00:36:49,840 +خلصها اللي بديها طلع انا بدي الدل وبعدين كل شي بري + +402 +00:36:49,840 --> 00:36:58,480 +فيزي فهمتوا عليا كيف؟ تمام + +403 +00:36:58,480 --> 00:37:01,560 +بمش انا اعذركم عشان انتوا مش ماخدين ال + +404 +00:37:01,560 --> 00:37:08,720 +mathematical يعني حدك بتوانس شوية حتى لو انه شفوها + +405 +00:37:10,290 --> 00:37:13,210 +Equating the above two equations اللي عملته انا + +406 +00:37:13,210 --> 00:37:18,270 +صويت المعادلتين وبالتالي صار عندى دل ال R بتسوي + +407 +00:37:18,270 --> 00:37:21,510 +partial T على partial R لكن هديك واحد على R لأنه + +408 +00:37:21,510 --> 00:37:25,910 +كانت ال R هنا sorry كانت ال R هنا تمام؟ وهدي كانت + +409 +00:37:25,910 --> 00:37:31,210 +ال R sin θ هنا حسب الكلام المدهي فمن هنا هدي ال + +410 +00:37:31,210 --> 00:37:35,010 +gradient of T اللي منها بديب الدل اللي نجلتيني + +411 +00:37:35,010 --> 00:37:36,570 +إياه احكي + +412 +00:37:40,480 --> 00:37:52,260 +هذا خطأ مطبعي صحيح + +413 +00:37:56,010 --> 00:38:00,450 +هي ال gradient بقدر أجيب ال divergence بقدر بقدر + +414 +00:38:00,450 --> 00:38:03,590 +أجيب ال care بقدر خلاص مازال الدليل جات بقدر + +415 +00:38:03,590 --> 00:38:06,530 +أجيبهم بسهولة similarly when can find the + +416 +00:38:06,530 --> 00:38:09,150 +divergence and the care and the key in its + +417 +00:38:09,150 --> 00:38:12,730 +spherical coordinates هذي معمولة صح أه في توفيق هي + +418 +00:38:12,730 --> 00:38:16,030 +ال divergence وهي ال care طبعا ولا واحدة بدنا + +419 +00:38:16,030 --> 00:38:22,420 +نحفظها ولا واحدة بدنا نحفظها حتىالـ DEL نفسه بالـ + +420 +00:38:22,420 --> 00:38:25,200 +Spherical Coordinates مش مطلب منكم حفظه، بدّوكم + +421 +00:38:25,200 --> 00:38:30,900 +إياه بس بالـ Cartesian بتحفظوه فاستوه اللي بارش + +422 +00:38:30,900 --> 00:38:32,720 +على بارش ال X بتجاه ال I و بارش على بارش ال Y + +423 +00:38:32,720 --> 00:38:35,240 +بتجاه ال G هدو عرفناه بس بالـ Spherical + +424 +00:38:35,240 --> 00:38:38,780 +Coordinates وال Coordinates اللي حد جينا مش هطلبوا + +425 +00:38:38,780 --> 00:38:42,140 +منكم تحفظوهم، بدّوكم إياهم طبعا ال divergence و ال + +426 +00:38:42,140 --> 00:38:46,940 +care من باب أولى خدوه إنهم اشتقاء قرياضي، تخطيهم + +427 +00:38:46,940 --> 00:38:53,660 +نسمعأكيد استقبطهم تفصيلا ولا لأ تابعواهذا في الـ + +428 +00:38:53,660 --> 00:38:56,540 +Mathematical Physics بيشتقوهم بكل تفاصيلهم و يكون + +429 +00:38:56,540 --> 00:39:00,380 +لهم اشتقاق رياضي كامل احنا نسميه جراد طبعا الابلاس + +430 +00:39:00,380 --> 00:39:03,520 +نشهوه ال divergence of the gradient دل ضد دل + +431 +00:39:03,520 --> 00:39:07,960 +وبالتالي برضه ال divergence هيكون بهذا الشكل و + +432 +00:39:07,960 --> 00:39:12,400 +برضه اشتق بكل تفاصيله اشتقاق طويل جدا هذا أكتر + +433 +00:39:12,400 --> 00:39:16,520 +صفحة بده؟ بده صفحة تاني تلاتة عشان نشتقه لكن برضه + +434 +00:39:16,520 --> 00:39:19,980 +كله straightforward يعني مافيش فيه trickات مجرد + +435 +00:39:19,980 --> 00:39:25,950 +طول شغلخلّصنا من الـ Spherical Coordinates، بدا + +436 +00:39:25,950 --> 00:39:29,590 +ندى الآن للـ Cylindrical Coordinates يا براد لما + +437 +00:39:29,590 --> 00:39:32,990 +قلنا Spherical Coordinates، ركّزنا و اتخيلنا سفير + +438 +00:39:32,990 --> 00:39:39,890 +ولا لأ؟ اتخيلنا سفير، هجيت بنتخيل سلندر، سلندر، و + +439 +00:39:39,890 --> 00:39:42,230 +نتعرف إيش المتغيرات في الـ cylindrical + +440 +00:39:42,230 --> 00:39:45,390 +coordinates؟ جاله في السلندر، أنا فيه عندى شغلة، + +441 +00:39:45,390 --> 00:39:49,730 +هي نقطةهذه النقطة تصوروا انت السليندر كيف بيكون + +442 +00:39:49,730 --> 00:39:53,650 +هاي نقطة عليها في اي نقطة طيب بيقول البعدها عن ال + +443 +00:39:53,650 --> 00:40:01,980 +z axis البعدها عن ال z axis هذا هو وكأنه لو انتR + +444 +00:40:01,980 --> 00:40:06,580 +تبعتك أسقطها هو نفسه البعد عن الـ Z-axis ولا لأ؟ + +445 +00:40:06,580 --> 00:40:13,260 +هذه النقطة أسقطوها على الأرض أو جيب خط ووصله لـ Z + +446 +00:40:13,260 --> 00:40:17,420 +-axis لأن هو نفسه المسقط هذا بدي أسميه رو اللي كان + +447 +00:40:17,420 --> 00:40:21,100 +بيسوي R sin θ بالـ spherical coordinates بدي أسميه + +448 +00:40:21,100 --> 00:40:25,780 +رو جال حلو جال ارتفاع هادي هاتغيروش خلّيه Z زي ما + +449 +00:40:25,780 --> 00:40:29,740 +هو تبعت كارتين زي ال coordinates إذا الـ Z ما + +450 +00:40:29,740 --> 00:40:36,840 +تتغيرشبعد النقطة عن الـ Z Axis هذا سمي Raw تمام؟ + +451 +00:40:36,840 --> 00:40:40,120 +الزاوية اللي بعملها المسقط اللي هو Raw مع الـ X + +452 +00:40:40,120 --> 00:40:43,820 +Axis هي Phi Phi تبع الـ spherical coordinates + +453 +00:40:43,820 --> 00:40:48,120 +نفسها فهمتوا عليها كيف؟ إذا المتغيرات التلاتة هي + +454 +00:40:48,120 --> 00:40:57,660 +Raw و Phi هنا فيه برضه غطاء مطبعي و Z Raw و Phi و + +455 +00:40:57,660 --> 00:41:04,220 +Zتم رو وفاي وزد إذا الـ رو الشيية بيقول هي ال + +456 +00:41:04,220 --> 00:41:09,360 +distance from the z axis البعد من ال z axis، البعد + +457 +00:41:09,360 --> 00:41:12,700 +النقطة عن ال z axis هذه لازم تتغير من السفر + +458 +00:41:12,700 --> 00:41:20,110 +للمنهية يعنيتمام و في عندك زاوية في هي الأزموذة ال + +459 +00:41:20,110 --> 00:41:24,870 +angle و هي الزاوية اللي بيعملها رو مع ال x axis هي + +460 +00:41:24,870 --> 00:41:27,970 +نفسها في تبع ال spherical coordinates بس هذي كانت + +461 +00:41:27,970 --> 00:41:32,230 +المسقط انا ذاك هو نفسه بس المسقط هجيب يديه رمز رو + +462 +00:41:32,230 --> 00:41:35,790 +بدل ما هناك كان رو بيسوي r sin θ دي بباركه هو نفسه + +463 +00:41:35,790 --> 00:41:43,110 +بس أنا مافيش عندي r تمام و ال z زت ال z زت بتغيرش + +464 +00:41:44,420 --> 00:41:48,440 +طيب، الأن مع بعض أنا و إياكم بدي أجيب علاقات ما + +465 +00:41:48,440 --> 00:41:51,700 +بين الـ Cyrindical و الـ Cartesian يا بنات علاقات + +466 +00:41:51,700 --> 00:41:54,240 +ما بين الـ Cyrindical و الـ Cartesian أول واحدة + +467 +00:41:54,240 --> 00:42:02,580 +الـ Z إيش بتوقعه الثانوية؟ Cartesian هي + +468 +00:42:02,580 --> 00:42:09,440 +نفس الـ Z مش هي نفس الـ Z ماتغيرتش + +469 +00:42:09,440 --> 00:42:11,860 +طب مين يجيب لي ال X؟ + +470 +00:42:17,060 --> 00:42:23,320 +Raw عيني مش صارفتي طب و ال Y؟ الورد دي مثلها + +471 +00:42:23,320 --> 00:42:28,420 +السينا دي كانت coordinate سهل تمام فى بتوعاناها + +472 +00:42:28,420 --> 00:42:33,760 +كيف؟ طيب ال unit vectors و بس و خلّيني أخلص + +473 +00:42:33,760 --> 00:42:41,060 +محاضرتنا الشي ال K خلّيني أقول ال Z hat هي ال K + +474 +00:42:41,060 --> 00:42:43,860 +مظبوط؟ + +475 +00:42:44,490 --> 00:42:49,050 +طيب، مين يقول الـRow hat؟ حللوها، هقولكم مين + +476 +00:42:49,050 --> 00:42:58,590 +الـRow hat؟ هيها، باتجاه الـRow، حللوها صوت عالي؟ + +477 +00:42:58,590 --> 00:43:09,910 +خفيه، صوت عالي؟ cosine الـPhi بتجاه الـI؟ صح؟ + +478 +00:43:11,000 --> 00:43:14,240 +بدي أحط لكم الـ Phi و مين يقول اللي بدي أحللها الـ + +479 +00:43:14,240 --> 00:43:18,940 +Phi عمودية عروب تجاه ذات الـ Phi بتكون هيك هذه الـ + +480 +00:43:18,940 --> 00:43:27,540 +Phi إلها مركبة صاضية موجبة و مركبة سينية سالبة صح؟ + +481 +00:43:27,540 --> 00:43:35,340 +مش هذه بتتحلل لهيك و هيك مظبوط + +482 +00:43:35,340 --> 00:43:44,590 +هذه عكس الـ X سالبة وهذه صادالزاوية هذه هي المتمنة + +483 +00:43:44,590 --> 00:43:50,730 +فبالتالي الـ Phi بتساوي ناقص Sin Phi باتجاه الـ I + +484 +00:43:50,730 --> 00:43:53,950 +زائد Cos Phi باتجاه الـ G + +485 +00:43:57,490 --> 00:44:00,950 +نوقف لهنا أول مرة جاية بنكمل من أول بداية ال + +486 +00:44:00,950 --> 00:44:05,250 +section عشان انا كنت ناوي اليوم أخلص بس ماذا وضعتش + +487 +00:44:05,250 --> 00:44:08,370 +بنخلص ان شاء الله يوم التنين الشابتر عشان نبدأ + +488 +00:44:08,370 --> 00:44:12,310 +نشوف كهربا أقعد و أخلص نفسنا و لا نشوف كهربا لسه + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/sIcxG_tJwkw_raw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/sIcxG_tJwkw_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..e02d5e595e5c6fbab9c5b9fb968365690ea56ed9 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/sIcxG_tJwkw_raw.srt @@ -0,0 +1,1984 @@ +1 +00:00:21,350 --> 00:00:26,310 +خلّينا نكمل إلى الـ to the green بدأنا نشرح ترمينا + +2 +00:00:26,310 --> 00:00:30,430 +بالـ coordinates تحديدا بالـ spherical coordinates + +3 +00:00:30,430 --> 00:00:35,890 +اتبعنا أن المتغيرات التلاتة المتمنة بالـ spherical + +4 +00:00:35,890 --> 00:00:40,950 +coordinates هي الـ R بالـ θ والـ 5 R يقعد نقطة على + +5 +00:00:40,950 --> 00:00:45,510 +الـ origin θ هو الزاوية بعملها R مع الـ Z axis و5 + +6 +00:00:45,510 --> 00:00:49,210 +هي الزاوية بعملها مصفقة R على الـ XY plane مع الـ + +7 +00:00:49,210 --> 00:00:54,490 +X axisوبالتالي صارت الأمور عن وراها أرض اتغير من + +8 +00:00:54,490 --> 00:01:00,130 +صفر لما نهيأ ديك تتغير من صفر لـ Pi و Phi تتغير من + +9 +00:01:00,130 --> 00:01:06,630 +صفر لـ 2 Pi عشان نعمل كل الـ space أحيانا بذلك + +10 +00:01:06,630 --> 00:01:10,050 +نغلب من Coordinates ل Coordinates وبالتالي بذلنا + +11 +00:01:10,050 --> 00:01:13,570 +الرواقات المجلة كانت فيها Coordinates و Descriptor + +12 +00:01:13,570 --> 00:01:21,180 +Coordinates فكانت جدا رواقة بينX وY وZ وR فيته + +13 +00:01:21,180 --> 00:01:30,080 +رفعي فاتفعنا إن X كم بنجيها إن هذا بدي أحلله أعمله + +14 +00:01:30,080 --> 00:01:37,180 +مصادر، بقول هي مصقته هذا بتكون R Cos فيته وبالتالي + +15 +00:01:37,180 --> 00:01:42,040 +هذا هو الـ Z فالـ Z بتسوي R Cos فيته Sorry، احنا + +16 +00:01:42,040 --> 00:01:47,740 +قلنا هذا الـ الـ Z بتسوي R Cos فيتهوين Rsinθ؟ + +17 +00:01:47,740 --> 00:01:53,400 +اتفقنا ان Rsinθ هي Rsinθ + +18 +00:01:53,400 --> 00:01:59,120 +اللي بيقع في الـ XY Plane فبالتالي، هذه اللي هي X + +19 +00:01:59,120 --> 00:02:07,800 +هي Rsinθ Cos Phi فبصير هذه Rsinθ Cos Phi وهذه + +20 +00:02:07,800 --> 00:02:16,500 +Rsinθ Cos Phiصار الفاد وبالتالي، هدول هما العلاقات + +21 +00:02:16,500 --> 00:02:20,320 +اللي بتربط الـSpherical Coordinates بالـCartesian + +22 +00:02:20,320 --> 00:02:24,660 +Coordinates أنا بعضكم أدرس مفروض أنها اتخذت + +23 +00:02:24,660 --> 00:02:27,780 +بالـMathematical Physics حاجة يسموها مصروف + +24 +00:02:27,780 --> 00:02:31,280 +للتحويلات اللي بيحول من Coordinates ل Coordinates + +25 +00:02:31,280 --> 00:02:35,920 +فيه مصمومة بتالي سهولة بيجيبها العلاقات كاشتقاة + +26 +00:02:35,920 --> 00:02:41,260 +لكن احنا في النهاية بدلاشكل هذه التفاصيل الرياضية + +27 +00:02:41,260 --> 00:02:47,340 +تبعينا نحن معنيين فقط بنتخيل الـShear Spherical + +28 +00:02:47,340 --> 00:02:50,620 +Coordinates إذا تخيلناها صح بسيط بسيط بيتعامل + +29 +00:02:50,620 --> 00:02:53,700 +معاها زي اللي احنا عارفين الـCartesian Coordinates + +30 +00:02:53,700 --> 00:02:57,800 +ونتخيلينه بكل تفاصيله بنحاول واحدة واحدة تتخيل + +31 +00:02:57,800 --> 00:03:01,480 +الـSpherical Coordinates ونتعامل معاها بيسر زي ما + +32 +00:03:01,480 --> 00:03:06,460 +نتعامل مع الـCartesian Coordinates تمام، أه، الآن + +33 +00:03:06,460 --> 00:03:11,140 +برضهالـ I و الجي و ال K unit vectors لتركيز + +34 +00:03:11,140 --> 00:03:15,360 +القوانين ال مقاطعة من ال coordinates هي ال R و ال + +35 +00:03:15,360 --> 00:03:19,900 +θ و ال ف كيف نجيب العلاقات بينهم برضه عملية سهلة + +36 +00:03:19,900 --> 00:03:23,860 +بدون ما ندخل في التفاصيل الرياضي تبعها بقول ال R + +37 +00:03:23,860 --> 00:03:30,960 +الشية R unit vector هي vector مخضر واحد باتجاه ال + +38 +00:03:30,960 --> 00:03:37,930 +R يعني هيه هذا ال vectorهذا الـ Vector عشان اكتبه + +39 +00:03:37,930 --> 00:03:41,890 +بديلات I و G و K انا كيف كنت اكتب اي Vector بديلات + +40 +00:03:41,890 --> 00:03:45,850 +I و G و K؟ احلله مش هجيب المراكبة الصينية و + +41 +00:03:45,850 --> 00:03:48,610 +المراكبة الصادية و المراكبة العينية و نحط كل واحدة + +42 +00:03:48,610 --> 00:03:50,990 +عندها ال unit vector خاصة بيها طب انا هذا ال + +43 +00:03:50,990 --> 00:03:56,590 +vector بدي احلله الى مراكباته الكارتيزية نجي نتطلع + +44 +00:03:56,590 --> 00:04:04,650 +كيف بدي احلله انا لو كان هذا هو ال Z Axis ايش هذه + +45 +00:04:04,650 --> 00:04:10,240 +الزاوية؟حسب تعريفنا ايش هي هذه الزاوية؟ فيتا + +46 +00:04:10,240 --> 00:04:19,880 +حللوني هذا اللي هو ال R بدي احلله بهذا المركب ايش + +47 +00:04:19,880 --> 00:04:22,840 +بتاخد؟ R cos فتا + +48 +00:04:26,120 --> 00:04:32,360 +الـ K صح؟ R Cos θ بتجاه الـ K طيب قولكم R Sin θ + +49 +00:04:32,360 --> 00:04:35,160 +وين بتروح؟ هذه المراكبة التانية تبعتها وراها هاتها + +50 +00:04:35,160 --> 00:04:37,360 +هذه المراكبة الأولى المراكبة التانية وراها هاتها + +51 +00:04:37,360 --> 00:04:46,960 +يعني لا هي I ولا هي J إجت هيك صح؟هذه عبارة عن واحد + +52 +00:04:46,960 --> 00:04:51,280 +في sin فيتا التي هي مجموعة تبعها واحد في sin فيتا + +53 +00:04:51,280 --> 00:04:54,700 +كوصين + +54 +00:04:54,700 --> 00:05:00,320 +الفاي باتجاه ال I واحد فيتا كوصين الفاي باتجاه + +55 +00:05:00,320 --> 00:05:08,380 +الجيه اذا هذه ال R hat تمام؟ نجي لل theta hat + +56 +00:05:08,380 --> 00:05:12,960 +نتخيل ال theta hat كيف يا بنات؟برضه تخيل بدنا يهدى + +57 +00:05:12,960 --> 00:05:17,000 +تخيلها هدى ال R ولا لا؟ عشان انا اتفقنا ال R ال + +58 +00:05:17,000 --> 00:05:20,780 +theta كيف اتجاهها احنا قلناها عموديه وباتجاه زيادة + +59 +00:05:20,780 --> 00:05:26,780 +ال theta يعني هيك صح؟ هيك هي هيك بزيادة ال theta + +60 +00:05:26,780 --> 00:05:31,660 +هيك طب بدى احلل هذا الجلام الان بدى انزل هذه + +61 +00:05:31,660 --> 00:05:38,880 +المراكبة هذه في اي اتجاه؟ ناقص Kمظبوط؟ إذا نناقص K + +62 +00:05:38,880 --> 00:05:44,600 +التانية بتجع هنا في المحور الصيني الصاضي بين الصين + +63 +00:05:44,600 --> 00:05:50,040 +والصاد إذا بتكون ال theta ناقص sin theta باتجاه ال + +64 +00:05:50,040 --> 00:05:53,840 +K اللي هي لأسفل هذا .. هذا هو ال theta حالي لو + +65 +00:05:53,840 --> 00:05:58,920 +بتكون مركبتك هنا ناقص sin theta والزاوية هذه ما هي + +66 +00:05:58,920 --> 00:06:04,640 +ال theta هذه المتممة ده theta هذه pi المتممة عتنين + +67 +00:06:04,640 --> 00:06:11,010 +ناقص thetaصحيح؟ طيب التانية بيقول .. التانية هي + +68 +00:06:11,010 --> 00:06:15,410 +بتتحللها صراحة عندك cosine of theta cosine of phi + +69 +00:06:15,410 --> 00:06:20,190 +I و cosine of theta sine of phi G حلو؟ إيش ضال + +70 +00:06:20,190 --> 00:06:26,870 +عندك؟ ال phi ال phi أصله من وين إجا؟ هي الزاوية + +71 +00:06:26,870 --> 00:06:32,610 +اللي بيعملها مسقط R هذا يعني هاي R هاي مسقطه إذا + +72 +00:06:32,610 --> 00:06:40,210 +Phi بتتوقعوها تكون أكم مركبة لهاهذا ما سقطت بس I و + +73 +00:06:40,210 --> 00:06:44,210 +J لأن هذا ما سقط عليك swipe lane وبالتالي وينها + +74 +00:06:44,210 --> 00:06:51,630 +fight تبعتك إذا كانت هيك هيك هذا هي fight حللها + +75 +00:06:51,630 --> 00:06:59,150 +بحللها هيك وهيك هذه اتجاه السين السالب وهذه اتجاه + +76 +00:06:59,150 --> 00:07:05,750 +الصادمالموجب تمام وبالتالي بيكون في عندك هذه هي + +77 +00:07:05,750 --> 00:07:11,650 +Phi فبتكون Cos Phi باتجاه الـ J ناقص Sin Phi + +78 +00:07:11,650 --> 00:07:18,210 +باتجاه الـ I أي صفصار؟ تخيلتهم؟ + +79 +00:07:18,210 --> 00:07:23,370 +خمسين في المية مش تمعان اكتر من خمسين في المية أي + +80 +00:07:23,370 --> 00:07:24,050 +صفصار؟ + +81 +00:07:26,970 --> 00:07:31,930 +هدول unit vectors لازم نتخيلهم لازم نعرف نتخيلهم + +82 +00:07:31,930 --> 00:07:40,250 +كمان مرة احنا هنستخدمهم كتير هنستخدمهم كتير لإن ال + +83 +00:07:40,250 --> 00:07:43,170 +spherical coordinates من أشهر ال coordinates اللي + +84 +00:07:43,170 --> 00:07:50,030 +تستخدم في الفيزيا و في اماحات ال quantumأخدت واحد + +85 +00:07:50,030 --> 00:07:53,750 +يعني مش عندي بس في ال classical هتاخدوها في ال + +86 +00:07:53,750 --> 00:07:57,050 +quantum بالذات هتاخدوها ال spherical coordinates + +87 +00:07:57,050 --> 00:08:02,710 +تستخدم كتير لإن أغلب المسائل الفيزيائية بتشبه ال + +88 +00:08:02,710 --> 00:08:06,030 +sphere حركتها وبالتالي ال spherical coordinates + +89 +00:08:06,030 --> 00:08:09,750 +هتستخدمها كتير فبدنا نفهمها بس مش أكتر أنا + +90 +00:08:09,750 --> 00:08:12,370 +بالنسبالي العلاقات الرياضية أنتوا عارفين أنا بديكم + +91 +00:08:12,370 --> 00:08:16,410 +إياهاوالشقاقها مش مطلوب من ليه يعني انا هدول بديه + +92 +00:08:16,410 --> 00:08:21,250 +عشانكم تحفظوهم بس بدي احاول ان اؤسس لشغل انه بدل + +93 +00:08:21,250 --> 00:08:25,470 +ما انا اشتقهم رياضيا ولا واحد اخد منكم + +94 +00:08:25,470 --> 00:08:30,320 +Mathematical Physics مع الدكتور سميرأخدته، اللي + +95 +00:08:30,320 --> 00:08:35,260 +أخده طلّع روحه مويسق هدول، و لا تمام اشتقاق اه صدق + +96 +00:08:35,260 --> 00:08:40,140 +و نسمع كمان فهذه علم اشتقاق رياضي فهمته عليا، بس + +97 +00:08:40,140 --> 00:08:45,330 +أنا مش معرف ان اشتقاق رياضي و لا هجيبهوحتى أنا + +98 +00:08:45,330 --> 00:08:48,710 +هدول نفسهم مابديش أجيكم تحفظوهم، بدي أديكم إياهم، + +99 +00:08:48,710 --> 00:08:51,330 +بس الواحد مانفعش يعطيكم حاجة و أنتم مش عارفين + +100 +00:08:51,330 --> 00:08:53,810 +الشية، يعني نعرف أن هدول الشمّة، هدول unit + +101 +00:08:53,810 --> 00:08:56,690 +vectors، بنجيبهم مدارس الـI و مدارس الـK بسهولة + +102 +00:08:56,690 --> 00:09:00,410 +جدا، تحليل، بس نتخيل عشان نتحلل، نعرف الشية الـR و + +103 +00:09:00,410 --> 00:09:04,050 +الشية الـθ و الشية الـF، وبالتالي الواحد لما بده + +104 +00:09:04,050 --> 00:09:07,810 +يكتبهم، بصير يتخيلوا يكتبوا، يعرفوا ال vector، + +105 +00:09:07,810 --> 00:09:09,890 +مابديش يستفكرهم و يحفظهم + +106 +00:09:16,270 --> 00:09:24,870 +خلّيني أذكر أنا وياكم D L يابانات بالكارتيزن + +107 +00:09:24,870 --> 00:09:33,910 +كواردينيت مين؟ اذكرني كيف كتبتها D X I قبل + +108 +00:09:33,910 --> 00:09:37,130 +ما انا امر عليهم مرة كرام ان هم السهلين وماحد + +109 +00:09:37,130 --> 00:09:41,870 +بيسألني عنهم شوم هدول؟ شي D L هي؟ شي مفهومها؟ من + +110 +00:09:41,870 --> 00:09:49,030 +يحكيلي؟يعني هو تغير موضع بسيط، جزء، يعني كان هنا + +111 +00:09:49,030 --> 00:09:53,730 +نقطة وهنا إيجاد، مظبوط ولا لأ؟ هذه DL، لما أقول + +112 +00:09:53,730 --> 00:09:56,170 +هذه النقطة عن هذه النقطة مش اختلافات، بقول دي X + +113 +00:09:56,170 --> 00:10:01,410 +تبعتها تغيرت، و Y تبعتها تغيرت، و Z تبعتها تغيرت، + +114 +00:10:01,410 --> 00:10:06,630 +بما أن كلها تغير بسيط، فدي X ودي Y ودي Z، هذه + +115 +00:10:06,630 --> 00:10:10,770 +النقطة وهذه النقطة، فبدي أتعامل معهم هجت بال + +116 +00:10:10,770 --> 00:10:14,900 +Coordinates Sphericalالـ Coordinates Spherical نجي + +117 +00:10:14,900 --> 00:10:21,160 +واحدة واحدة هاي نقطة وهي نقطة هل التنتين لهم نفس + +118 +00:10:21,160 --> 00:10:26,920 +الـR؟ مش هي الـR هي؟ بعيد نقطة عن الـorigin هتبقى + +119 +00:10:26,920 --> 00:10:30,940 +الـorigin في الجردة إذا في فرق بين R واحدة وR + +120 +00:10:30,940 --> 00:10:39,420 +اتنين هدول إيش بتسميها؟ دي R إذا هذه هتصير دي R + +121 +00:10:39,420 --> 00:10:42,460 +بأي اتجاه هذا؟ الـR هذا + +122 +00:10:47,050 --> 00:10:53,410 +زائد تمام؟ تبعين؟ حلو هاي نقطة و هاي نقطة R تبعت + +123 +00:10:53,410 --> 00:10:58,090 +هادي هيها و R تبعت هادي هيها لو اتطلعت هل التنتين + +124 +00:10:58,090 --> 00:11:04,910 +ينقلوا من نفس الـθيتا؟ لأ لأ هاي R و هاي R تصور + +125 +00:11:04,910 --> 00:11:12,380 +كيف؟ هاي R هاي R هادي فيتا غير هادي فيتاإذا في + +126 +00:11:12,380 --> 00:11:14,940 +فيتا واحد و فيتا اتنين، أيش الفرق بينهم؟ جالك فيتا + +127 +00:11:14,940 --> 00:11:24,020 +طيب، فيما لو أنا كتبت دي فيتا و + +128 +00:11:24,020 --> 00:11:32,040 +حطيت فيتهات، بنفع؟ فيزيائيا؟ و إذا بنفعش، ليش؟ + +129 +00:11:39,840 --> 00:11:44,340 +أحنا زمان أول محاضرة فيزياء ألف إيش كنا نقول زمان؟ + +130 +00:11:44,340 --> 00:11:49,740 +كنا نقول بينفعش نقول خيار بيساوي فاجوي صح؟ ذاكرين، + +131 +00:11:49,740 --> 00:11:57,880 +تمام، حلو إيش واحد يتهدي؟ إيش واحد يتهدي؟ متر؟ متر + +132 +00:11:57,880 --> 00:12:05,740 +أو صنطي، متر هادي؟ هادي متر؟ بينفعش؟بداك مسافة انت + +133 +00:12:05,740 --> 00:12:11,020 +مافعلي تقولي زاوية طب ممكن كيف ازوي ارجع هاي نقطة + +134 +00:12:11,020 --> 00:12:15,440 +و هاي نقطة تمام البعد بينهم دي R البعد بين هذه و + +135 +00:12:15,440 --> 00:12:20,760 +هذه في جوس اجاك بداك الجوس انت بداك الجوس مش + +136 +00:12:20,760 --> 00:12:24,460 +الزاوية و كيف اجيب الجوس؟ جالي نص قطر في الزاوية + +137 +00:12:24,460 --> 00:12:28,780 +المحصورة الزاوية المحصورة هي دي فيتا اذا بناك تحط + +138 +00:12:28,780 --> 00:12:30,300 +هنا R + +139 +00:12:32,980 --> 00:12:38,780 +أي جيش صار كله خيار لأنه هذا متر وهذا متر وهذا متر + +140 +00:12:38,780 --> 00:12:48,960 +صح الكلام، مظبط ولا لأ، تمه، نرجع، هاي إنه كتين، + +141 +00:12:48,960 --> 00:12:51,800 +اتفاجنا، بدها تسجد هذه على الأرض وهذه على الأرض + +142 +00:12:53,130 --> 00:12:57,890 +تمام؟ قطعا هادي و هادي فايه تبعتهم تختلف لإن هادي + +143 +00:12:57,890 --> 00:13:00,850 +هتسقط هان و هادي هتسقط هان إذا كل واحدة لها فايه + +144 +00:13:00,850 --> 00:13:06,070 +خاصة بيها إذا في دالتا فايه إذا في دالتا فايه + +145 +00:13:06,070 --> 00:13:12,070 +بينفع أخد دالتا فايه؟ لا انت بده تجوس انت بده تجوس + +146 +00:13:12,070 --> 00:13:15,710 +بإنه هي نبطة و هي نبطة إيش الجثة ده؟ نص القطر في + +147 +00:13:15,710 --> 00:13:20,050 +الزاوية المحصورة طب هذه نص القطر إيه؟ هو نفسه اه؟ + +148 +00:13:20,050 --> 00:13:25,960 +ولا ما سقطه؟إذاً هذا هو R Sine الزاوية إذاً هذا هو + +149 +00:13:25,960 --> 00:13:34,080 +R Sine فيتا D Phi باتجاه الـ Phi هاي الدي إيه؟ هاي + +150 +00:13:34,080 --> 00:13:38,060 +الدي إيه اللي؟ + +151 +00:13:38,060 --> 00:13:46,050 +اسأليني؟ حلو احنا اتفجناالنقطين اللي كانوا هان + +152 +00:13:46,050 --> 00:13:49,330 +سجتهم على الأرض، مسقطهم بالدي إجت نقطة هان، قليني + +153 +00:13:49,330 --> 00:13:54,030 +أحطهم هنا نقطة هان و نقطة هان، تمام؟ هذه فاية + +154 +00:13:54,030 --> 00:13:57,150 +تبعتها غير عن فاية تبعتها هذه، بدي الجثث بينهم هذا + +155 +00:13:57,150 --> 00:14:01,910 +الجثث هذا إيش بيساوي؟ بيساوي نص القطر في الزاوية + +156 +00:14:01,910 --> 00:14:04,670 +المحصورة، الزاوية المحصورة دي فاية لكن نص القطر + +157 +00:14:04,670 --> 00:14:09,930 +هذا هو R ولا مسقطه؟هذا اللي يأتي على الأرض R هذا + +158 +00:14:09,930 --> 00:14:14,490 +ولا مصقته؟ مصقته طب مصقته كيف بدي أجيبه؟ إذا كانت + +159 +00:14:14,490 --> 00:14:18,390 +هذه R بدي مصقته، إذا كانت هذه فيتا، مش مصقته هذا + +160 +00:14:18,390 --> 00:14:24,790 +هو R sin فيتا؟ هذه مصقته، هو R sin فيتا اللي نزلي + +161 +00:14:24,790 --> 00:14:32,830 +تحت، هذا نصقته اللي بدي إياه، أي استثمار يبناته؟ + +162 +00:14:32,830 --> 00:14:39,400 +طب أنا أحلف يا مين؟ مش كلكم فاهمين؟ أحلف؟حالتي صح + +163 +00:14:39,400 --> 00:14:48,640 +ولا لأ؟ في حاجة بدي اسأل؟ احكي البراوة + +164 +00:14:48,640 --> 00:14:53,320 +عليكي ليش مش على ال Y النقطة هيها شوف انت هي Xك + +165 +00:14:53,320 --> 00:15:02,120 +وهي Yك وهي Zك وهي النقطة اضغطيها ايجت على ال X ولا + +166 +00:15:02,120 --> 00:15:05,440 +على ال Y؟ وقتش بتيجي على ال Y لما تكون النقطة على + +167 +00:15:05,440 --> 00:15:10,350 +الحياطة هذهتسقطها تيجي على ال axis و لا و أنا بجيب + +168 +00:15:10,350 --> 00:15:14,470 +أنا نقطة عشوائية بالفراغ ولا لأ تطلع على ال Y؟ لأ + +169 +00:15:14,470 --> 00:15:18,610 +هذا .. هذا يعني هي نقطة هنا برضه أرجع فلتكم من + +170 +00:15:18,610 --> 00:15:22,670 +الأرض هذا X axis يا بنات أو خلينا نقول هذا X و هذا + +171 +00:15:22,670 --> 00:15:26,950 +Y و ال Z اللي فوق تمام؟ عنده نقطة هنا اسقطوها على + +172 +00:15:26,950 --> 00:15:32,700 +الطاولةهيها .. تيجي هان .. تيجيش هان .. اللي كانت + +173 +00:15:32,700 --> 00:15:36,640 +مذكة في الحطة اللي هان .. صح؟ هي هنا عشان تيجي هان + +174 +00:15:36,640 --> 00:15:39,220 +.. الـGeneral قالت تيجي هان .. حالة خاصة تيجي هان + +175 +00:15:39,220 --> 00:15:42,720 +لما تكون الـΫيتا صغير .. مظلوم؟ .. إذا انتصرت هان + +176 +00:15:42,720 --> 00:15:47,380 +.. غيرها .. غيرها دي الأسئلة البسيطة اللي بتاعترضه + +177 +00:15:47,380 --> 00:15:50,840 +أنها بسيطة .. هي بتخلي الواحد يفكر .. يقدر يستوعب + +178 +00:15:50,840 --> 00:15:55,040 +الشيء الـspherical coordinates .. افهمتين يا بنتي؟ + +179 +00:15:55,040 --> 00:15:55,960 +غيرها .. + +180 +00:16:01,000 --> 00:16:04,620 +شوفوا إذا وصلت تلاتين واربعين في المية أنا راضي، + +181 +00:16:04,620 --> 00:16:09,620 +تبقى مقدش تلاتين واربعين في المية، أنا راضي أما + +182 +00:16:09,620 --> 00:16:16,720 +سبعين و تمانين صعب عارف؟ لسه بدري، احكي برا عليك + +183 +00:16:16,720 --> 00:16:21,990 +تمام هي شوفي مش هيو هيو هي عار اسخطي هيومش هي + +184 +00:16:21,990 --> 00:16:25,910 +مسقطه، هي أسقطه إذا هذا هو الـ X-axis، هذه الزاوية + +185 +00:16:25,910 --> 00:16:29,770 +هي الـ X-axis، هي Phi الزاوية بيعملها المسقط مع + +186 +00:16:29,770 --> 00:16:37,490 +الـ X-axis احنا اتفقنا ال R، جيبوا لكم خيط من عند + +187 +00:16:37,490 --> 00:16:43,150 +النقطة لل origin، خيط، هي R، اسقطوه، المسقط اللي + +188 +00:16:43,150 --> 00:16:48,590 +صار معاكم بيجي خيط تانيهذا بعمل زاوية مع الـ X + +189 +00:16:48,590 --> 00:16:52,190 +-axis ومع الـ Y-axis الـ Default Galon مع X-axis + +190 +00:16:52,190 --> 00:17:02,290 +سميها Phi عشان بس تتخيلها تمام غيرها حلو بس أمحي + +191 +00:17:02,290 --> 00:17:07,430 +هذه الخربش دي اللي عملتها هو + +192 +00:17:07,430 --> 00:17:12,050 +طبعا أنا جيبت نصمة نتخيلها كمان مرة جالي خليني + +193 +00:17:12,050 --> 00:17:21,300 +نشوف لو كانت أنا في عندىنقطة هنا هي R و خلّيني + +194 +00:17:21,300 --> 00:17:26,100 +أقول نقطة هنا على أساس النقطة إذا كانت هذه النقطة + +195 +00:17:26,100 --> 00:17:31,910 +هادي ولا هاديخلّيني أقول هذه، هذه نقطتين جالي بين + +196 +00:17:31,910 --> 00:17:37,370 +هذه وبين هذه في دلتة R هذه سهلة هجيت هذه المسافة + +197 +00:17:37,370 --> 00:17:40,470 +اللي أنا بدي إياها اللي هي هذه المسافة اللي هي هذه + +198 +00:17:40,470 --> 00:17:45,490 +المسافة الجوس تقريبا جالي هذه هي هذه هذه عبارة عن + +199 +00:17:45,490 --> 00:17:52,270 +R دي فيتا هجيت نجلة ما أسقط هذه أسقطيها أسقطيها + +200 +00:17:52,270 --> 00:17:57,990 +هذه وهذه أسقطيها أسقطيها هذه هجيت هذه هي فاي وهذه + +201 +00:17:58,950 --> 00:18:06,070 +فاي زائد دلتا فاي فصرت هذه الجوز الفرق عبارة عن دي + +202 +00:18:06,070 --> 00:18:11,110 +فاي فيه إيش في هذا نص القطر كده نص القطر؟ R sin + +203 +00:18:11,110 --> 00:18:21,690 +فهي دي L هي دي L لسه اللي جاي أصعب اللي جاي أصعب + +204 +00:18:21,690 --> 00:18:26,510 +بدي ال volume في + +205 +00:18:26,510 --> 00:18:27,530 +ال Cartesian Coordinates + +206 +00:18:30,020 --> 00:18:33,400 +بسرعة ليه؟ دي اكس دي واي دي زد اه دي اكس دي واي دي + +207 +00:18:33,400 --> 00:18:38,720 +زد طب يبقى ليه ال volume من هنا اشي + +208 +00:18:38,720 --> 00:18:42,600 +ديش سويت هنا عملين نفس العملية هنا اش في دي R و + +209 +00:18:42,600 --> 00:18:50,860 +هنا R دي فيتا و هنا R و R R كربيع sign فيتا D فيتا + +210 +00:18:50,860 --> 00:18:54,260 +D فاي دي R مرة عليكم؟ + +211 +00:18:57,200 --> 00:19:01,500 +إن شاء الله ما مرّش لأ وين ممرّش؟ ممرّكتيه ال + +212 +00:19:01,500 --> 00:19:06,380 +speaker coordinates ال volume صح ولا لأ؟ ليست + +213 +00:19:06,380 --> 00:19:12,200 +رحانة ولا حمسة ولا سؤال ولا تعليق؟ إشي اللي مش + +214 +00:19:12,200 --> 00:19:19,880 +ماضي؟ حلو أخر واحدة كيف جات؟ طيب جبيلي أول ال + +215 +00:19:19,880 --> 00:19:26,630 +volume بالcartesian coordinates كيف جت؟كيف اتيت؟ + +216 +00:19:26,630 --> 00:19:31,670 +اه كيف اتيت؟ اه ما هو كيف اتيت؟ كيف جبتيها دي x دي + +217 +00:19:31,670 --> 00:19:37,470 +y ازاي تول؟ ضربتي الأول في التاني في التالت؟ ضربتي + +218 +00:19:37,470 --> 00:19:39,790 +الأول في التاني في التالت؟ اعملي تحت ايه، ضرب + +219 +00:19:39,790 --> 00:19:44,850 +الأول في التاني في التالت؟ + +220 +00:19:44,850 --> 00:19:50,750 +ضربيهم، اتشوفيهم، صح معاك ولا لا؟ اضرب التلاتة دي + +221 +00:19:50,750 --> 00:19:56,740 +R في Rبس انا عيدي ترتيبهم مش في R و في R هاي R + +222 +00:19:56,740 --> 00:19:59,480 +تربيع، شايفاهم الـR و الـR؟ و فيه sign فيه؟ طبعا + +223 +00:19:59,480 --> 00:20:05,540 +مافيش، ضربت هذا في هذا، طلع هذا و هذا هو هذا، و + +224 +00:20:05,540 --> 00:20:16,040 +بعدين هذا و هذا و هذا، هدهم، ضربتم بعض، صح؟ طيب، + +225 +00:20:16,040 --> 00:20:20,180 +بدي ال areas، ال surfaces بال characters و + +226 +00:20:20,180 --> 00:20:21,680 +coordinates، كيف نجيبهم؟ + +227 +00:20:25,010 --> 00:20:31,550 +DX DY DX DX BY BY BY BY BY BY BY BY BY BY BY BY BY + +228 +00:20:31,550 --> 00:20:31,550 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +229 +00:20:31,550 --> 00:20:31,550 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +230 +00:20:31,550 --> 00:20:36,190 +BY BY BY BY BY + +231 +00:20:36,190 --> 00:20:36,250 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +232 +00:20:36,250 --> 00:20:36,390 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +233 +00:20:36,390 --> 00:20:36,590 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +234 +00:20:36,590 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +235 +00:20:37,090 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +236 +00:20:37,090 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +237 +00:20:37,090 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +238 +00:20:37,090 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +239 +00:20:37,090 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +240 +00:20:37,090 --> 00:20:37,090 +BY BY BY BY BY BY BY BY BY BY BY BY BY BY + +241 +00:20:50,270 --> 00:20:59,770 +DX DY بيكونش ثابت الـ Z أي عنصر على الأرض DX + +242 +00:20:59,770 --> 00:21:04,970 +DZ لإن هي X و Y الفوق DX DZ أي عنصر على الحيطة هذه + +243 +00:21:04,970 --> 00:21:14,170 +DY DZ صح؟لما قلت انا DXDY على اللوحة قلت Z ثابتة + +244 +00:21:14,170 --> 00:21:19,950 +DXDY طيب ساعتها ايش بدكم تتخيلولي انتوا تخيلولي + +245 +00:21:19,950 --> 00:21:23,650 +نملة قاعدة واقفة تمشي على حيطة نملة وين ما تحط + +246 +00:21:23,650 --> 00:21:29,830 +رجلها على الحيطة ادي Z ثابتة ولا لا؟ حلو نرجع حال + +247 +00:21:29,830 --> 00:21:37,330 +جيت هاي عندى بطيخة كرة ولا لا؟ بدي نملة تمشي على + +248 +00:21:37,330 --> 00:21:45,090 +سطحR تبعها مايتغيرش، يكون ثابت أي سطح؟ السطح + +249 +00:21:45,090 --> 00:21:50,250 +الخارجي، على القشرة بتكون R طول ما هي ماشية بتغير + +250 +00:21:50,250 --> 00:21:57,030 +θ و بتغير ف لكن بيتغيرش R إذا هذا من وين بيجي؟ من + +251 +00:21:57,030 --> 00:22:01,430 +ثبات R من ثبات R يعني ثبت هذا، يعني هذا يعني + +252 +00:22:01,430 --> 00:22:06,910 +المفروض أنه لو ضابط R في R sin θ D θ D ف يطلع عند + +253 +00:22:06,910 --> 00:22:13,610 +السطح الخارجي للقرآنعيد دي + +254 +00:22:13,610 --> 00:22:24,390 +أس بتساوي R تربيع sin فيتا دي فيتا دي فيا ايش + +255 +00:22:24,390 --> 00:22:29,690 +عملت؟ ضربت هادة في هادة ساعتها ايش اللي بيكون + +256 +00:22:29,690 --> 00:22:36,790 +ثابت؟ الـR هذا هو السطح الخارجي تبع الكره + +257 +00:22:43,620 --> 00:22:51,700 +صح؟ تمه؟ طب جبل ما نكمل هو احنا قلنا هنا dx dy لو + +258 +00:22:51,700 --> 00:22:58,620 +اتيت كملتها dx dy كملتها ايش بطلع؟ انا من وين اجمع + +259 +00:22:58,620 --> 00:23:03,220 +خدها ال dx dy هذه؟ من الحياطة هذه؟ بدي اكملها من + +260 +00:23:03,220 --> 00:23:06,820 +أول الحياطة لأخرها و من أول الحياطة لأخرها ايش بدأ + +261 +00:23:06,820 --> 00:23:12,190 +تطلع معايا؟ مساحات A في Bلو كمان الـDXDY من صفر + +262 +00:23:12,190 --> 00:23:20,150 +لـA من صفر لـB XY FB طيب ده كاملها دي لما كمان + +263 +00:23:20,150 --> 00:23:23,830 +الـDXY طلعت مساحة الحياطة هنا جيبها تطلع مساحة + +264 +00:23:23,830 --> 00:23:32,530 +الكورة جديش مساحة الكورة؟ جديش؟ أربعة باي أر تربيع + +265 +00:23:32,530 --> 00:23:39,500 +المساحة الجانبية للكورة صح؟ كملوها يلّا نكملهاطبعا + +266 +00:23:39,500 --> 00:23:43,380 +R ثابتة ممكن تجيب نصف قطر هاي الـ R تربيها ايش + +267 +00:23:43,380 --> 00:23:47,020 +بيظهر عندك؟ من صفر إلى اتنين باي و من صفر إلى باي + +268 +00:23:47,020 --> 00:23:52,560 +صين فيتا دي فيتا دي فاي الـ D فيها ممكن تجيب في من + +269 +00:23:52,560 --> 00:23:56,800 +صفر إلى اتنين باي يلا كملولي الصين فيتا دي فيتا + +270 +00:23:56,800 --> 00:24:07,440 +فيتا كم من الصين؟ قصان الـ باي سالق واحد و قصان + +271 +00:24:07,440 --> 00:24:18,870 +الصفر1-1-1-2 وفي سلب 2 و2π 4π وفي أر تربيع طلع بحو + +272 +00:24:18,870 --> 00:24:25,070 +4π أر تربيع صح الكلام ولا لا أربع + +273 +00:24:25,070 --> 00:24:29,030 +باي أر تربيع طيب + +274 +00:24:29,030 --> 00:24:39,340 +عامد الله طيب هذا السطح الخارجي ايش سبتناR بدي + +275 +00:24:39,340 --> 00:24:46,760 +أثبت θيتا إيش بتتخيلوا سطح يطلع معاكم؟ + +276 +00:24:46,760 --> 00:24:55,900 +بدي سطح بدي سطح بدي نملة تمشي على سطح ع نص الكورة + +277 +00:24:55,900 --> 00:24:59,420 +من هيك + +278 +00:24:59,420 --> 00:25:05,640 +تلع عليها جيبوا السكينة والبطيخة جسوها هيك من النص + +279 +00:25:05,640 --> 00:25:10,730 +تماماتخيلتوها؟ في حد عمره ماكنش فاطيخ؟ كلكم + +280 +00:25:10,730 --> 00:25:16,290 +متخيلينها طيب و جيبوا تخيلوا نملة قاعدة بتمشي على + +281 +00:25:16,290 --> 00:25:20,830 +هيك طبعا و هي بتمشي رايحة جاية ارض بعضها بتتغير + +282 +00:25:20,830 --> 00:25:26,430 +بتخش جوا ارض تصغر تطلع برا ارض بتكبر بتلف fire + +283 +00:25:26,430 --> 00:25:29,410 +بتتغير هلقيت جيبوه تشوفوا انتوا تخيلوا النملة و + +284 +00:25:29,410 --> 00:25:33,450 +جيبوا حبل من عند النملة لعند ال centerوطول ما هي + +285 +00:25:33,450 --> 00:25:35,850 +ماشية .. شوفوا ليه جديش الزاوية اللي بيعملها الخيط + +286 +00:25:35,850 --> 00:25:42,030 +هذا مع ال z axis هاي + +287 +00:25:42,030 --> 00:25:49,150 +.. هاي الخيط .. جديش الزاوية؟ تسعين .. بتغير؟ إذا + +288 +00:25:49,150 --> 00:25:53,190 +في تثابتة .. إذا في تثابتة .. طبعا لو طلعت السكين + +289 +00:25:53,190 --> 00:25:57,760 +اللي فوق شويةتمام؟ ممكن الزاوية تكون مش تسعين + +290 +00:25:57,760 --> 00:26:00,360 +بالظبط تفهمون اللي عندنا فانتوا عليها يعني تصير + +291 +00:26:00,360 --> 00:26:04,860 +الزاوية مختلفة بحسب لأ ارمى الثابتة ليش؟ لأ لو + +292 +00:26:04,860 --> 00:26:08,220 +كانت تسعين هيكون الأرض تبقى زمان مافهمش عارف .. لأ + +293 +00:26:08,220 --> 00:26:11,660 +مين جالك يا بنتي هلجيت انت .. تخيلتي هي .. هي .. + +294 +00:26:11,660 --> 00:26:16,280 +هي الدائرة صح؟ هيجيت هي نقطة وهي نقطة هذه نقطة وهي + +295 +00:26:16,280 --> 00:26:20,820 +نقطة هذه أرض اتبعتها غير عن هذه لكن هم هي نقطة وهي + +296 +00:26:20,820 --> 00:26:27,340 +نقطة تمام؟ هذه ولا هذه؟نفس الـ theta ولا لا؟ إذا + +297 +00:26:27,340 --> 00:26:32,440 +نام مش نفس ال R هذه نقطة وهذه نقطة هذه بعضها غير + +298 +00:26:32,440 --> 00:26:37,540 +عن بعضها دي يعني أنا مش بالضرورة أمشي على محيط + +299 +00:26:37,540 --> 00:26:42,080 +عشان ال theta تكون ثابتة طول ما أنا هذا الخيط ماشي + +300 +00:26:42,080 --> 00:26:45,740 +عليه ال theta تبعتي ثابتة وهي ال R تبعتي ثابتة + +301 +00:26:45,740 --> 00:26:49,820 +تغير من دلوقتي هنا فاهمتيني؟ لأ + +302 +00:26:52,400 --> 00:26:56,120 +ما هو انا مش قادر ارسم دائرة لو انا عملت هيك + +303 +00:26:56,120 --> 00:27:04,260 +اتخيريها هي هادى الأفقية تمام هجيت هاي هادى نقطة + +304 +00:27:04,260 --> 00:27:09,320 +وهادى نقطة اللي هو نفس ال R تمام على اعتبار انه .. + +305 +00:27:09,320 --> 00:27:14,600 +اعتبره انه theta هيك هل theta هادي و theta هادي + +306 +00:27:14,600 --> 00:27:23,440 +واحد تحكيه نفس ال thetaلكن قرن مختلفة ولا لأ؟ إذا + +307 +00:27:23,440 --> 00:27:31,660 +قرن مختلفة طب + +308 +00:27:31,660 --> 00:27:39,560 +أي سطح قولكم بتكون فاي ثابتة فيه؟ قولكم إيش تسووا + +309 +00:27:39,560 --> 00:27:44,960 +بس؟ أو ممكن شجعتوا سكينة بالطول؟ بس شجعوا هيك و + +310 +00:27:44,960 --> 00:27:51,260 +خلّوا تمشي هنا بتلوف؟ بتلوفشبتلفش، بتضلها على + +311 +00:27:51,260 --> 00:27:56,240 +السطح حادة فهمتوا عليا كيف؟ هذه الأسطح التلاتة، + +312 +00:27:56,240 --> 00:28:00,960 +بيقوللي هذه الـDL، طبعا أنا بعطيكم الـDL يا بنات + +313 +00:28:00,960 --> 00:28:04,210 +دايمادي ايه اللي انا باعطيكم إياها؟ لكن انا + +314 +00:28:04,210 --> 00:28:09,530 +باعطيكوش لا دي تاو ولا دي اس وطبعا اي دي اس انت + +315 +00:28:09,530 --> 00:28:13,690 +ممكن تحدده لأنه اضرب هادي في هادي ولا هادي في هادي + +316 +00:28:13,690 --> 00:28:18,190 +ولا هادي في هادي انت ممكن تحدده بيقول لي بالتالي + +317 +00:28:18,190 --> 00:28:23,320 +تلقائيا the volume element ده هو الدي تاوهذا هو .. + +318 +00:28:23,320 --> 00:28:26,320 +ايه سويت انا؟ هل جيت الـ tau؟ دربته من التلاتة مع + +319 +00:28:26,320 --> 00:28:31,500 +بعض طيب for the surface elements عندي تلاتة + +320 +00:28:31,500 --> 00:28:38,060 +surfaces اللي توا احنا عملناهم مع بعض دي + +321 +00:28:38,060 --> 00:28:42,760 +أس واحد خليت فاي constant خليت فاي constant + +322 +00:28:42,760 --> 00:28:47,390 +وبالتالي دربت هادي في هاديمثلًا خلّيت فاي constant + +323 +00:28:47,390 --> 00:28:51,790 +ضربت هادي في هادي وبيكون باتجاه الفاي صح او لا + +324 +00:28:51,790 --> 00:28:57,750 +تمام التاني دي اس اتنين فيتا is constant ضربت هادي + +325 +00:28:57,750 --> 00:29:03,070 +في هادي هادي في هادي فهمتوا علي كيف؟ والتالتة R is + +326 +00:29:03,070 --> 00:29:07,610 +constant ضربت هادي في هادي اللي هي السطح الخارجي + +327 +00:29:07,610 --> 00:29:10,650 +والسطح الخارجي طبعا متوقعينه انتوا باتجاه ال R + +328 +00:29:10,650 --> 00:29:14,270 +انتوا باتجاه أنصف الأقطار تمام؟ حلو + +329 +00:29:17,850 --> 00:29:21,830 +هيجينا أكتر من مرة و نعاود نتخيل واحد و نطبق مش + +330 +00:29:21,830 --> 00:29:29,350 +هنا تمام طبعا هم بيقولوا لو كان دي بالسفير حجمه + +331 +00:29:29,350 --> 00:29:37,120 +كدهش هدي بالسفير4 ع 3πr تكعيب انت لو كملت dx dy dz + +332 +00:29:37,120 --> 00:29:40,840 +من صفر ل L من صفر ل L من صفر ل L بتطلع L تكعيب ولا + +333 +00:29:40,840 --> 00:29:45,140 +لأ حجم المكعب بدك تكامل من صفر ل A من صفر ل B من + +334 +00:29:45,140 --> 00:29:48,180 +صفر ل C بتطلع عندك A في B في C حد متوازن من + +335 +00:29:48,180 --> 00:29:54,760 +السطيلات طب لو بدك تكامل هذا لازم يطلع معاك 4 ع + +336 +00:29:54,760 --> 00:30:02,360 +3πr تكعيبصح وانا لأ كيف بقوله ال D5 بتعطيني 2π و + +337 +00:30:02,360 --> 00:30:10,100 +sin θ تو طلعت 2 هي 4π و R تربيع R تكعيب على 3 فده + +338 +00:30:10,100 --> 00:30:10,580 +هي طنات + +339 +00:30:17,250 --> 00:30:21,570 +زي ما تقول كملت ال area طبعا انا كملت ال area هادى + +340 +00:30:21,570 --> 00:30:24,470 +ممكن تكمل ال area هادى و تكمل ال area هادى و لما + +341 +00:30:24,470 --> 00:30:27,850 +تكمل ال area هادى يتوج النهر لبطيخة الأفقية بتطلع + +342 +00:30:27,850 --> 00:30:32,150 +مساحة دائرة بيارتردية مظبوط ولا لأ فكلها ممكن تيجي + +343 +00:30:32,150 --> 00:30:39,210 +بهذا ال كيفية طيب يقولون طب كده يجيب ال gradient + +344 +00:30:39,210 --> 00:30:42,850 +بال spherical coordinates ايش ال gradient ده احنا + +345 +00:30:42,850 --> 00:30:47,560 +خدناه ال gradient ذاكرينه؟أه حلو يعني زي ما خدينه + +346 +00:30:47,560 --> 00:30:58,820 +زي ما ذاكرينه تمام خليني أكتبه كامل بصوت عالي تجيه + +347 +00:30:58,820 --> 00:31:02,940 +ال K هجيه X و Y و Z و I و J و K كارتيزي يعني دول + +348 +00:31:02,940 --> 00:31:06,860 +صح؟ خدوه الملوم يدعوه بالاسفلتكال بكتبتهم إنه + +349 +00:31:06,860 --> 00:31:10,120 +بالاسفلتكال بدي استقاق جديد بدي أجيبهم بالاسفلتكال + +350 +00:31:10,120 --> 00:31:13,480 +أشوف إيش بزويعشان يجيبوه من الاسفلكة و قولت انت + +351 +00:31:13,480 --> 00:31:15,440 +كده جيبتهم من ال كارتيزان و قولت له اه هيك جيبتهم + +352 +00:31:15,440 --> 00:31:21,300 +من ال كارتيزان قولت انت دي تي دي تي بسوية دلتة تاي + +353 +00:31:21,300 --> 00:31:27,460 +دوت دي إل هيك عملتها من أول قولت دي إل كانت زمان + +354 +00:31:27,460 --> 00:31:33,560 +دي إكس و دي وي و دي زد هجي تغيرت اغيرها فهذه دي إل + +355 +00:31:33,560 --> 00:31:39,270 +مش هي تلت مركبات عندهمهذه الأولى وهذه الثانية وهذه + +356 +00:31:39,270 --> 00:31:43,910 +الثالثة خلّيني أقول دي ار التانية ار دي ثيتا + +357 +00:31:43,910 --> 00:31:48,270 +والتالتة ار ساين ثيتا دي فاي مظبوط ولا لأ؟ حلو + +358 +00:31:48,270 --> 00:31:54,730 +هدول شم الدي ال هي الدي ال هي أول مركبة هذه دي ال + +359 +00:31:54,730 --> 00:32:01,290 +ار هذه دي ال ثيتا بنفعش أقول دي ثيتا بيساوي دي ال + +360 +00:32:01,290 --> 00:32:09,590 +لأنه متر ومتر بيصير الخيار فجوس بنفعشوهذه هي دي + +361 +00:32:09,590 --> 00:32:16,510 +الـ Phi وهذه دي الـ Theta وهذه دي الـ R كمركبات + +362 +00:32:16,510 --> 00:32:23,020 +اتفقنا؟ اتفقناقال لي طيب لما انت هديك في او تاني + +363 +00:32:23,020 --> 00:32:28,060 +او تالت محاضرة و قال لي لو كانت T بتساوي T as a + +364 +00:32:28,060 --> 00:32:32,340 +function of X و Y و Z قولي دي T بيساوي partial T + +365 +00:32:32,340 --> 00:32:37,340 +على partial X DX و اعملت X صح ولا لأ طب هجيت انت T + +366 +00:32:37,340 --> 00:32:44,020 +بدك ايها كارتيزيا بديها R و في توفركيف يجيب دي دي + +367 +00:32:44,020 --> 00:32:47,120 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +368 +00:32:47,120 --> 00:32:49,260 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +369 +00:32:49,260 --> 00:32:49,340 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +370 +00:32:49,340 --> 00:32:49,580 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +371 +00:32:49,580 --> 00:32:52,980 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +372 +00:32:52,980 --> 00:32:54,660 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +373 +00:32:54,660 --> 00:33:01,700 +دي دي دي دي دي + +374 +00:33:12,920 --> 00:33:21,720 +سوّيهم أبضعات دي R دي R دي ثيتا دي ثيتا دي فايل دي + +375 +00:33:21,720 --> 00:33:29,120 +فايل معناته هذا بيجي ساوي هذا هذا + +376 +00:33:29,120 --> 00:33:38,160 +بيجي ساوي هذا صحيكوا أم لا؟ وهذا بيجي ساوي هذا + +377 +00:33:43,400 --> 00:33:47,180 +مش انا اقعد بقارن بقولي هذا هو نفسه هذا، اذا + +378 +00:33:47,180 --> 00:33:52,120 +معناته هذا هو هذا، هذا هو هذا، ان هي دي فيتا، هه، + +379 +00:33:52,120 --> 00:33:57,060 +زبطت معايا، معناته دليل الـT كان R component + +380 +00:33:57,060 --> 00:34:02,800 +بيساوي partial T على partial R، دليل الـT في فيتا + +381 +00:34:02,800 --> 00:34:06,780 +component واحد على R partial T على partial فيتا، + +382 +00:34:06,780 --> 00:34:11,320 +صح ولا لأ؟ اعيد كمان مرة، انا جيت بقارن معادلتين + +383 +00:34:12,740 --> 00:34:17,820 +بقدر اقول delta T ك R component سوى partial T على + +384 +00:34:17,820 --> 00:34:25,840 +partial R؟ بقدر هيك اقول؟ طيب، بدي هذه هجيتي دل ال + +385 +00:34:25,840 --> 00:34:32,100 +T كفيتا component بتسوى 1 على R partial T على + +386 +00:34:32,100 --> 00:34:39,970 +partial فيتا عشان ال R اللي هنا صح؟ ودل ال Tكفاية + +387 +00:34:39,970 --> 00:34:50,510 +كومبونيت متساوي 1 على r sin θ partial t صح بقدر + +388 +00:34:50,510 --> 00:34:58,660 +اقول هال gateالـ T بتساوي partial T ع partial R R + +389 +00:34:58,660 --> 00:35:03,260 +hat واحد على R partial T ع partial فتة فتة hat + +390 +00:35:03,260 --> 00:35:09,980 +واحد على R sin فتة partial T ع partial فاي فاي hat + +391 +00:35:09,980 --> 00:35:15,440 +امالها؟ + +392 +00:35:15,440 --> 00:35:21,480 +زي ان انت مش مفترح طلعي + +393 +00:35:21,480 --> 00:35:22,820 +التاني مربع فوق + +394 +00:35:28,650 --> 00:35:41,990 +المربع حادى بيساوي هذا المربع + +395 +00:35:45,390 --> 00:35:50,610 +هذا المربع هو هذا بالمقارنة ايش فيه المربع هذا + +396 +00:35:50,610 --> 00:35:55,990 +delta T ثيتا مضروف في R سواء partial T او partial + +397 +00:35:55,990 --> 00:36:01,190 +ثيتا بقولك + +398 +00:36:01,190 --> 00:36:06,250 +مش مخترق بينا + +399 +00:36:06,250 --> 00:36:10,050 +بس الواحد مش مركز سماء غيرها + +400 +00:36:13,410 --> 00:36:21,350 +تمام؟ طيب تظل عليا لسه اكتبيلي الدل اللى نجلتني + +401 +00:36:21,350 --> 00:36:24,530 +إياها بالكارتيزين كواردينس بالكارتيزين كواردينس + +402 +00:36:24,530 --> 00:36:33,890 +بالكارتيزين كواردينس بالكارتيزين + +403 +00:36:33,890 --> 00:36:36,090 +كواردينس بالكارتيزين كواردينس بالكارتيزين كواردينس + +404 +00:36:36,090 --> 00:36:36,330 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +405 +00:36:36,330 --> 00:36:36,370 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +406 +00:36:36,370 --> 00:36:36,450 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +407 +00:36:36,450 --> 00:36:37,370 +بالكارتيزين كواردينس بالكارتيزين كواردينس + +408 +00:36:37,370 --> 00:36:39,490 +بالكارتيزين كواردينس بالكارتيزين كواردينس بال + +409 +00:36:46,000 --> 00:36:49,840 +خلصها اللي بديها طلع انا بدي الدل وبعدين كل شي بري + +410 +00:36:49,840 --> 00:36:58,480 +فيزي فهمتوا عليا كيف؟ تمام + +411 +00:36:58,480 --> 00:37:01,560 +بمش انا اعذركم عشان انتوا مش ماخدين ال + +412 +00:37:01,560 --> 00:37:08,720 +mathematical يعني حدك بتوانس شوية حتى لو انه شفوها + +413 +00:37:10,290 --> 00:37:13,210 +Equating the above two equations اللي عملته انا + +414 +00:37:13,210 --> 00:37:18,270 +صويت المعادلتين وبالتالي صار عندى دل ال R بتسوي + +415 +00:37:18,270 --> 00:37:21,510 +partial T على partial R لكن هديك واحد على R لأنه + +416 +00:37:21,510 --> 00:37:25,910 +كانت ال R هنا sorry كانت ال R هنا تمام؟ وهدي كانت + +417 +00:37:25,910 --> 00:37:31,210 +ال R sin θ هنا حسب الكلام المدهي فمن هنا هدي ال + +418 +00:37:31,210 --> 00:37:35,010 +gradient of T اللي منها بديب الدل اللي نجلتيني + +419 +00:37:35,010 --> 00:37:36,570 +إياه احكي + +420 +00:37:40,480 --> 00:37:52,260 +هذا خطأ مطبعي صحيح + +421 +00:37:56,010 --> 00:38:00,450 +هي ال gradient بقدر أجيب ال divergence بقدر بقدر + +422 +00:38:00,450 --> 00:38:03,590 +أجيب ال care بقدر خلاص مازال الدليل جات بقدر + +423 +00:38:03,590 --> 00:38:06,530 +أجيبهم بسهولة similarly when can find the + +424 +00:38:06,530 --> 00:38:09,150 +divergence and the care and the key in its + +425 +00:38:09,150 --> 00:38:12,730 +spherical coordinates هذي معمولة صح أه في توفيق هي + +426 +00:38:12,730 --> 00:38:16,030 +ال divergence وهي ال care طبعا ولا واحدة بدنا + +427 +00:38:16,030 --> 00:38:22,420 +نحفظها ولا واحدة بدنا نحفظها حتىالـ DEL نفسه بالـ + +428 +00:38:22,420 --> 00:38:25,200 +Spherical Coordinates مش مطلب منكم حفظه، بدّوكم + +429 +00:38:25,200 --> 00:38:30,900 +إياه بس بالـ Cartesian بتحفظوه فاستوه اللي بارش + +430 +00:38:30,900 --> 00:38:32,720 +على بارش ال X بتجاه ال I و بارش على بارش ال Y + +431 +00:38:32,720 --> 00:38:35,240 +بتجاه ال G هدو عرفناه بس بالـ Spherical + +432 +00:38:35,240 --> 00:38:38,780 +Coordinates وال Coordinates اللي حد جينا مش هطلبوا + +433 +00:38:38,780 --> 00:38:42,140 +منكم تحفظوهم، بدّوكم إياهم طبعا ال divergence و ال + +434 +00:38:42,140 --> 00:38:46,940 +care من باب أولى خدوه إنهم اشتقاء قرياضي، تخطيهم + +435 +00:38:46,940 --> 00:38:53,660 +نسمعأكيد استقبطهم تفصيلا ولا لأ تابعواهذا في الـ + +436 +00:38:53,660 --> 00:38:56,540 +Mathematical Physics بيشتقوهم بكل تفاصيلهم و يكون + +437 +00:38:56,540 --> 00:39:00,380 +لهم اشتقاق رياضي كامل احنا نسميه جراد طبعا الابلاس + +438 +00:39:00,380 --> 00:39:03,520 +نشهوه ال divergence of the gradient دل ضد دل + +439 +00:39:03,520 --> 00:39:07,960 +وبالتالي برضه ال divergence هيكون بهذا الشكل و + +440 +00:39:07,960 --> 00:39:12,400 +برضه اشتق بكل تفاصيله اشتقاق طويل جدا هذا أكتر + +441 +00:39:12,400 --> 00:39:16,520 +صفحة بده؟ بده صفحة تاني تلاتة عشان نشتقه لكن برضه + +442 +00:39:16,520 --> 00:39:19,980 +كله straightforward يعني مافيش فيه trickات مجرد + +443 +00:39:19,980 --> 00:39:25,950 +طول شغلخلّصنا من الـ Spherical Coordinates، بدا + +444 +00:39:25,950 --> 00:39:29,590 +ندى الآن للـ Cylindrical Coordinates يا براد لما + +445 +00:39:29,590 --> 00:39:32,990 +قلنا Spherical Coordinates، ركّزنا و اتخيلنا سفير + +446 +00:39:32,990 --> 00:39:39,890 +ولا لأ؟ اتخيلنا سفير، هجيت بنتخيل سلندر، سلندر، و + +447 +00:39:39,890 --> 00:39:42,230 +نتعرف إيش المتغيرات في الـ cylindrical + +448 +00:39:42,230 --> 00:39:45,390 +coordinates؟ جاله في السلندر، أنا فيه عندى شغلة، + +449 +00:39:45,390 --> 00:39:49,730 +هي نقطةهذه النقطة تصوروا انت السليندر كيف بيكون + +450 +00:39:49,730 --> 00:39:53,650 +هاي نقطة عليها في اي نقطة طيب بيقول البعدها عن ال + +451 +00:39:53,650 --> 00:40:01,980 +z axis البعدها عن ال z axis هذا هو وكأنه لو انتR + +452 +00:40:01,980 --> 00:40:06,580 +تبعتك أسقطها هو نفسه البعد عن الـ Z-axis ولا لأ؟ + +453 +00:40:06,580 --> 00:40:13,260 +هذه النقطة أسقطوها على الأرض أو جيب خط ووصله لـ Z + +454 +00:40:13,260 --> 00:40:17,420 +-axis لأن هو نفسه المسقط هذا بدي أسميه رو اللي كان + +455 +00:40:17,420 --> 00:40:21,100 +بيسوي R sin θ بالـ spherical coordinates بدي أسميه + +456 +00:40:21,100 --> 00:40:25,780 +رو جال حلو جال ارتفاع هادي هاتغيروش خلّيه Z زي ما + +457 +00:40:25,780 --> 00:40:29,740 +هو تبعت كارتين زي ال coordinates إذا الـ Z ما + +458 +00:40:29,740 --> 00:40:36,840 +تتغيرشبعد النقطة عن الـ Z Axis هذا سمي Raw تمام؟ + +459 +00:40:36,840 --> 00:40:40,120 +الزاوية اللي بعملها المسقط اللي هو Raw مع الـ X + +460 +00:40:40,120 --> 00:40:43,820 +Axis هي Phi Phi تبع الـ spherical coordinates + +461 +00:40:43,820 --> 00:40:48,120 +نفسها فهمتوا عليها كيف؟ إذا المتغيرات التلاتة هي + +462 +00:40:48,120 --> 00:40:57,660 +Raw و Phi هنا فيه برضه غطاء مطبعي و Z Raw و Phi و + +463 +00:40:57,660 --> 00:41:04,220 +Zتم رو وفاي وزد إذا الـ رو الشيية بيقول هي ال + +464 +00:41:04,220 --> 00:41:09,360 +distance from the z axis البعد من ال z axis، البعد + +465 +00:41:09,360 --> 00:41:12,700 +النقطة عن ال z axis هذه لازم تتغير من السفر + +466 +00:41:12,700 --> 00:41:20,110 +للمنهية يعنيتمام و في عندك زاوية في هي الأزموذة ال + +467 +00:41:20,110 --> 00:41:24,870 +angle و هي الزاوية اللي بيعملها رو مع ال x axis هي + +468 +00:41:24,870 --> 00:41:27,970 +نفسها في تبع ال spherical coordinates بس هذي كانت + +469 +00:41:27,970 --> 00:41:32,230 +المسقط انا ذاك هو نفسه بس المسقط هجيب يديه رمز رو + +470 +00:41:32,230 --> 00:41:35,790 +بدل ما هناك كان رو بيسوي r sin θ دي بباركه هو نفسه + +471 +00:41:35,790 --> 00:41:43,110 +بس أنا مافيش عندي r تمام و ال z زت ال z زت بتغيرش + +472 +00:41:44,420 --> 00:41:48,440 +طيب، الأن مع بعض أنا و إياكم بدي أجيب علاقات ما + +473 +00:41:48,440 --> 00:41:51,700 +بين الـ Cyrindical و الـ Cartesian يا بنات علاقات + +474 +00:41:51,700 --> 00:41:54,240 +ما بين الـ Cyrindical و الـ Cartesian أول واحدة + +475 +00:41:54,240 --> 00:42:02,580 +الـ Z إيش بتوقعه الثانوية؟ Cartesian هي + +476 +00:42:02,580 --> 00:42:09,440 +نفس الـ Z مش هي نفس الـ Z ماتغيرتش + +477 +00:42:09,440 --> 00:42:11,860 +طب مين يجيب لي ال X؟ + +478 +00:42:17,060 --> 00:42:23,320 +Raw عيني مش صارفتي طب و ال Y؟ الورد دي مثلها + +479 +00:42:23,320 --> 00:42:28,420 +السينا دي كانت coordinate سهل تمام فى بتوعاناها + +480 +00:42:28,420 --> 00:42:33,760 +كيف؟ طيب ال unit vectors و بس و خلّيني أخلص + +481 +00:42:33,760 --> 00:42:41,060 +محاضرتنا الشي ال K خلّيني أقول ال Z hat هي ال K + +482 +00:42:41,060 --> 00:42:43,860 +مظبوط؟ + +483 +00:42:44,490 --> 00:42:49,050 +طيب، مين يقول الـRow hat؟ حللوها، هقولكم مين + +484 +00:42:49,050 --> 00:42:58,590 +الـRow hat؟ هيها، باتجاه الـRow، حللوها صوت عالي؟ + +485 +00:42:58,590 --> 00:43:09,910 +خفيه، صوت عالي؟ cosine الـPhi بتجاه الـI؟ صح؟ + +486 +00:43:11,000 --> 00:43:14,240 +بدي أحط لكم الـ Phi و مين يقول اللي بدي أحللها الـ + +487 +00:43:14,240 --> 00:43:18,940 +Phi عمودية عروب تجاه ذات الـ Phi بتكون هيك هذه الـ + +488 +00:43:18,940 --> 00:43:27,540 +Phi إلها مركبة صاضية موجبة و مركبة سينية سالبة صح؟ + +489 +00:43:27,540 --> 00:43:35,340 +مش هذه بتتحلل لهيك و هيك مظبوط + +490 +00:43:35,340 --> 00:43:44,590 +هذه عكس الـ X سالبة وهذه صادالزاوية هذه هي المتمنة + +491 +00:43:44,590 --> 00:43:50,730 +فبالتالي الـ Phi بتساوي ناقص Sin Phi باتجاه الـ I + +492 +00:43:50,730 --> 00:43:53,950 +زائد Cos Phi باتجاه الـ G + +493 +00:43:57,490 --> 00:44:00,950 +نوقف لهنا أول مرة جاية بنكمل من أول بداية ال + +494 +00:44:00,950 --> 00:44:05,250 +section عشان انا كنت ناوي اليوم أخلص بس ماذا وضعتش + +495 +00:44:05,250 --> 00:44:08,370 +بنخلص ان شاء الله يوم التنين الشابتر عشان نبدأ + +496 +00:44:08,370 --> 00:44:12,310 +نشوف كهربا أقعد و أخلص نفسنا و لا نشوف كهربا لسه + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/tXHJ2tZM7qs_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/tXHJ2tZM7qs_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..1d02d8af9ebf1be7572a7964a91fbc66b25576c1 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/tXHJ2tZM7qs_postprocess.srt @@ -0,0 +1,2348 @@ +1 +00:00:21,060 --> 00:00:27,820 +نستكمل الـ Chapter 3 اللي بيحكي عن طرق جديدة في حل + +2 +00:00:27,820 --> 00:00:32,580 +الـ Electric Field أو الـ Electric Potential + +3 +00:00:32,580 --> 00:00:36,660 +واتفقنا المعادلة اللي أنا بحلها هي D لتربيع الـ V + +4 +00:00:36,660 --> 00:00:40,040 +equal to 0 حلتها في الـ One Dimension بالـ + +5 +00:00:40,040 --> 00:00:45,060 +Cartesian Coordinates وحلت عليها مثال لما يكون Two + +6 +00:00:45,060 --> 00:00:52,610 +Dimensionalالحل اتفقنا ان v بيتساوي a e to power + +7 +00:00:52,610 --> 00:00:59,930 +kx plus b e to power minus kx مضروبة في جثة اخر c + +8 +00:00:59,930 --> 00:01:07,490 +sin kxplus D cosine K X وحلناها مع بعض وفرجناكم + +9 +00:01:07,490 --> 00:01:13,070 +كيف بتنحل .. فرجناكم هيك بس مجرد نبذة كيف بتنحل ال + +10 +00:01:13,070 --> 00:01:17,190 +differential equations أني أنا بفرض E to power E R + +11 +00:01:17,190 --> 00:01:21,230 +X وقلناكم أنه بتكون E to power R X وبشوف R إيش + +12 +00:01:21,230 --> 00:01:25,150 +قيمها وإما بتكون imaginary أو بتكون real ولمّا + +13 +00:01:25,150 --> 00:01:28,150 +تكون real بتصير هيك ولمّا تكون imaginary بتصير + +14 +00:01:28,150 --> 00:01:32,970 +sine و cosineواتفقنا ان انا ببدأ سؤالي من هذا الحل + +15 +00:01:32,970 --> 00:01:40,590 +بقولكم الحل العام بيكون هاي شكله كامل ما تبقى و + +16 +00:01:40,590 --> 00:01:46,830 +التكملة هي عبارة عن إيجاد ال constant من ال + +17 +00:01:46,830 --> 00:01:49,910 +condition طبيعة السؤال فالسؤال هنا بقول two + +18 +00:01:49,910 --> 00:01:55,350 +infiniteلـ Infinite. مجلدات مجلدات مجلدات مجلدات + +19 +00:01:55,350 --> 00:01:56,530 +مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات + +20 +00:01:56,530 --> 00:02:00,070 +مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات + +21 +00:02:00,070 --> 00:02:00,810 +مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات + +22 +00:02:00,810 --> 00:02:01,210 +مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات مجلدات + +23 +00:02:01,210 --> 00:02:06,550 +مجلدات مجلدات مجلدات مجلدات + +24 +00:02:06,550 --> 00:02:16,410 +مجلدات + +25 +00:02:17,410 --> 00:02:21,970 +بدو اوجد الجهد الكهربائي و طبعا إذا جبت الجهد + +26 +00:02:21,970 --> 00:02:26,090 +بيمكننا نجيب المجال الكهربائي between the plates + +27 +00:02:26,090 --> 00:02:31,530 +between the plates بد في المنطقة هذه جدش الجهد + +28 +00:02:31,530 --> 00:02:38,450 +وجدش المجال تمام هذا زي ما احنا اتفقنا مع بعض طبعا + +29 +00:02:38,450 --> 00:02:41,350 +يا بنات لو الحمرة هذه مش موجودة بصير capacitor + +30 +00:02:42,570 --> 00:02:47,230 +صحيح؟ بيصير capacitor خلاص طبعا الـ Capacitor لو + +31 +00:02:47,230 --> 00:02:52,330 +هذه مش موجودة بيصير عبارة عن مالة نهاية في two + +32 +00:02:52,330 --> 00:02:54,830 +dimensions و بيبقى ليشي اللي هيعتمد على dimension + +33 +00:02:54,830 --> 00:02:59,300 +واحدصحيح؟ بيعتمد على ال dimension اللي هو هذا فقط + +34 +00:02:59,300 --> 00:03:03,640 +لأنه بيصير هيك و هيك كل واحد مافيش اختلاف و هيك و + +35 +00:03:03,640 --> 00:03:07,180 +هيك ع ال z axis هنا زي ما انتوا شايفين من ناقص z + +36 +00:03:07,180 --> 00:03:10,620 +من ناقص ملا نهاية لملا نهاية كل هابليت واحدة + +37 +00:03:10,620 --> 00:03:13,660 +وبالتالي ليه يعتمد ع ال z؟ غير ال z مانت ماعملتش + +38 +00:03:13,660 --> 00:03:18,060 +حاجة لكن الحمرة ايش بتقولي؟ بتقولي هان غير عنهان + +39 +00:03:18,060 --> 00:03:21,760 +غير عنهان لأن هنا V ده نقيمته لكن هنا V تختلف + +40 +00:03:21,760 --> 00:03:26,170 +وبالتالي يعتمد على Xو يعتمد على Y واضحة لأنه محصور + +41 +00:03:26,170 --> 00:03:32,390 +أصلا بين Y بيتساوي 0 وY بيتساوي A تمام لما نيجي + +42 +00:03:32,390 --> 00:03:36,610 +نحل سؤال زي هذه زي ما اتفقنا ايش بيعمل اول حاجة + +43 +00:03:36,610 --> 00:03:43,400 +انا بديكم إياها بقولكمThe solution of LeBlanc + +44 +00:03:43,400 --> 00:03:48,800 +equation is given هذه المعادلة سأعطيك إياها و + +45 +00:03:48,800 --> 00:03:54,000 +حالها زي ما اتفقنا دي نبذة و إما أخدتوها أو + +46 +00:03:54,000 --> 00:03:58,990 +هتاخدوهاأو بتاخدوها حسب كل واحد إيش ما ياخد مواد + +47 +00:03:58,990 --> 00:04:01,670 +اللي مش ماخد differential equation هياخد تفاصيل + +48 +00:04:01,670 --> 00:04:03,970 +هذه الشغلات و اللي مااخد differential equation أو + +49 +00:04:03,970 --> 00:04:07,650 +بياخدها بياخد الشغلات هذه و احنا ادينا نبذة بسيطة + +50 +00:04:07,650 --> 00:04:11,590 +و لازم تفهموا أنتوا يعني المقدمة الأولية لهذا + +51 +00:04:11,590 --> 00:04:15,190 +الموضوع أن differential equation دائما معادلة لو + +52 +00:04:15,190 --> 00:04:18,790 +بدي أحلها بحلها بواسطة المحاولة بيصير في محاولات + +53 +00:04:18,790 --> 00:04:22,530 +للحل و هذه المحاولات بتتقنن و بتتصير إليها قوانين + +54 +00:04:22,530 --> 00:04:26,780 +و إليها سليب و كلها الجذيةطب إيش هتسويها الـ Gate؟ + +55 +00:04:26,780 --> 00:04:29,460 +جانب ذاك الـ Jeep الثوابط التقنيك اللي بنتعلمه + +56 +00:04:29,460 --> 00:04:34,300 +احنا وياكم الثوابط هذه مين بيجيبها؟من الـ Boundary + +57 +00:04:34,300 --> 00:04:37,100 +Condition مظبوط ولا لأ؟ عشان كده قولتلكم هذا + +58 +00:04:37,100 --> 00:04:40,560 +الشرطة في بعض الكتب اسمه Boundary Value Problems + +59 +00:04:40,560 --> 00:04:43,580 +يعني Boundary Condition هذ طريقة هي كتير تجيب + +60 +00:04:43,580 --> 00:04:47,260 +الثوابط تمام إيش معناة Boundary Condition؟ إيش + +61 +00:04:47,260 --> 00:04:52,080 +معناة boundary؟ حدود إذا أول شغلة بيكون تعرفوها + +62 +00:04:52,080 --> 00:04:56,720 +قبل ما أحل بدي أعرف حدود منطقتي بدي أعرف حدود + +63 +00:04:56,720 --> 00:05:01,780 +منطقتي وين بدوا المجال و الجهود؟ في المنطقة اللي + +64 +00:05:01,780 --> 00:05:07,050 +ما بينالـ Plates المابين الـ Plates حلو يعني هنا + +65 +00:05:07,050 --> 00:05:14,010 +بدوياها و فوق لأ هنا لأ إذا نبدأ نشوف حدودها بدي + +66 +00:05:14,010 --> 00:05:19,150 +حدود هنبدأ بال Y و الحدود منطقتي Y بالسوء سفر و Y + +67 +00:05:19,150 --> 00:05:22,530 +بالسوء إيه إذا عندي النقطين هدول لازمش V إما + +68 +00:05:22,530 --> 00:05:26,970 +أعرفهم أو يعطيني إياهم تمام ال X Axis و الحدود + +69 +00:05:26,970 --> 00:05:31,590 +منطقتيمن سفر للمنة نهاية برضه عند النقطين هدول + +70 +00:05:31,590 --> 00:05:35,230 +الجهد لازم اعرفه فهمتوا عليها كيف؟ اذا اول حاجة + +71 +00:05:35,230 --> 00:05:38,230 +حدود المنطقة لازم اعرفها بينفعش احط boundary + +72 +00:05:38,230 --> 00:05:41,330 +condition في الحد اللي مش في منطقتي يعني بينفع + +73 +00:05:41,330 --> 00:05:45,570 +اقول عند X بيساوي سالب منه نهاية جديش الجهد؟ عند X + +74 +00:05:45,570 --> 00:05:50,150 +بيساوي سالب منه نهاية بمنطقتي؟ لأ اشيل فيهاتلزمنيش + +75 +00:05:50,150 --> 00:05:54,090 +تفهمتوا عليا كيف؟ إذا أنا بيدعو حدود منطقتي هي + +76 +00:05:54,090 --> 00:05:58,830 +اللي بدي أوجد قيمها لأن هذا الجهد جاعد يبحله في + +77 +00:05:58,830 --> 00:06:02,930 +المنطقة وبالتالي X وY لازم تكون في المنطقة هذه + +78 +00:06:02,930 --> 00:06:07,250 +تمام إذا she is bound in a condition نبدأ بيقوللي + +79 +00:06:07,250 --> 00:06:10,910 +أول حاجة Y بيستوي سفر وY بيستوي إيه صح؟ وY بيستوي + +80 +00:06:10,910 --> 00:06:13,960 +سفر وعطاني جهد ولا لأ؟ قاللي groundedجالي + +81 +00:06:13,960 --> 00:06:17,080 +الـTintin الحمراء Zero Grounded إيش يعني Grounded + +82 +00:06:17,080 --> 00:06:21,260 +متصنف الأرض ومتصنف الأرض جديش جهده؟ Zero هذه + +83 +00:06:21,260 --> 00:06:24,020 +معلومة مالليش Zero لكن أنا بعرفها لأنه فيزيائي + +84 +00:06:24,020 --> 00:06:28,280 +وبعرف كل حاجة تتصنف الأرض جديش جهدها Zero بالتالي + +85 +00:06:28,280 --> 00:06:32,580 +Two infinitely Grounded plates كلمة Grounded يعني + +86 +00:06:32,580 --> 00:06:38,240 +جهدها بسوء Zero فجالي الـY بتسوء Zero الجهد بتسوء + +87 +00:06:38,240 --> 00:06:43,930 +Zero يعني هاجز تحتانيةground يعني جهدها 0 طب و هذي + +88 +00:06:43,930 --> 00:06:47,670 +هذي at y بتساوي ايه ولا لا؟ at y بتساوي ايه بكون + +89 +00:06:47,670 --> 00:06:52,810 +أنا على الزراج هذا؟ مقدش الجهد؟ Zero طيب ال X + +90 +00:06:52,810 --> 00:06:56,750 +بتساوي 0 بكون في المنطقة الحمرا ولا لا؟ و هو جاللي + +91 +00:06:56,750 --> 00:07:03,210 +جهد مقدش V0 هو اعطانيها إذن ال X بتساوي 0 V بتساوي + +92 +00:07:03,210 --> 00:07:11,440 +V0ظلت واحدة المدى نهاية تتوقع 0 إذاً V لما X ذهب + +93 +00:07:11,440 --> 00:07:15,640 +لمدى نهاية V بتساوي 0 خلصت ال boundary condition + +94 +00:07:19,430 --> 00:07:22,390 +تمام واحد يقول طب كي من وين بدي أبدأ؟ و واحد تاني + +95 +00:07:22,390 --> 00:07:26,530 +بيقول طب أنت رتبت هيك طب أنا بينفعش أرتب غير عنك؟ + +96 +00:07:26,530 --> 00:07:30,330 +بينفع و واحد يقول بينفعش أنا أعتبر هذه هي الأولى و + +97 +00:07:30,330 --> 00:07:33,250 +هذه التانية و هذه التالتة و هذه الرابعة؟ الأصل + +98 +00:07:33,250 --> 00:07:36,790 +بينفع صح ولا لأ؟ لأ لأ أنا باشتغل .. و .. و .. و + +99 +00:07:36,790 --> 00:07:39,270 +خلّيني أقول ال default هنا أبدأ بال X مش بالY + +100 +00:07:39,270 --> 00:07:44,330 +صحيح؟ إذا ممكن تكون هذه واحد تمام و هذه اتنين و + +101 +00:07:44,330 --> 00:07:47,190 +هذه تلاتة و هذه أربعة فالترتيب عشوائي + +102 +00:07:50,120 --> 00:07:52,340 +بتقول Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y + +103 +00:07:52,340 --> 00:07:52,480 +بيبقى Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y + +104 +00:07:52,480 --> 00:07:55,600 +بيبقى Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y + +105 +00:07:55,600 --> 00:07:59,620 +بيبقى Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y بيبقى Y + +106 +00:07:59,620 --> 00:08:19,020 +بيبقى Y بيبق + +107 +00:08:19,700 --> 00:08:22,640 +في الحمار هاه مانخشتش وانتي عارفة هي دي plate هيك + +108 +00:08:22,640 --> 00:08:28,420 +طيب هدو كلهم في أي منطقة؟ الحمرا، هدى plate هو + +109 +00:08:28,420 --> 00:08:31,520 +بيقوللي هدى ال plate أنا محافظ على جهود ثابت لها + +110 +00:08:31,520 --> 00:08:36,520 +بيساوي فيه نقطة بس قصدي انه نقطة ال Y تسوى Zero و + +111 +00:08:36,520 --> 00:08:40,960 +X تسوى Zero هي نفس ال .. بس هدى يعني ممكن تبقى + +112 +00:08:40,960 --> 00:08:44,700 +واحد بس صح؟ بجي النقاط + +113 +00:08:47,850 --> 00:08:52,230 +يعني بمعنى بس هذه النقطة لكن هذه وانا بأجيب منطقة + +114 +00:08:52,230 --> 00:08:55,910 +كاملة وبالتالي بدي العموية بديش خاصية يعني بس عند + +115 +00:08:55,910 --> 00:09:00,250 +نقطة واحدة اللي بتشاركه اللي هي 00 صحيح ولا لأ؟ + +116 +00:09:00,250 --> 00:09:04,010 +الـY بتسوي + +117 +00:09:04,010 --> 00:09:09,990 +Zero كل زراج هذا ولا لأ؟ يعني هاي الـY كل الأرض مش + +118 +00:09:09,990 --> 00:09:14,190 +بس النقطة هذه كل عادي التحيط فهمت علي كيف؟ غيرها + +119 +00:09:16,110 --> 00:09:20,710 +الان كيف بدي أبدأ يا بنات؟ طبعا البداية، من وين + +120 +00:09:20,710 --> 00:09:24,430 +أبدأ، بأي condition أبدأ، بدي شوية مهارة، لكن + +121 +00:09:24,430 --> 00:09:27,550 +بنتعود عليه، دائما بنبدأ بالشغل اللي فيها صفر، + +122 +00:09:27,550 --> 00:09:31,410 +والشغل اللي مش صفر، تبدوش فيها، فمتوا عليه كيف؟ + +123 +00:09:31,410 --> 00:09:36,190 +طيب، واحد يقولك، طب هي صفر، وهي صفر، وهي صفر، صح؟ + +124 +00:09:36,190 --> 00:09:41,470 +ها، صفر، صفر، صفر، هذه خلوه أخر conditionفاهمتوا + +125 +00:09:41,470 --> 00:09:45,130 +عليّ؟ دائما السفر بدأ فيه لأن السفر بضيع لي حاجة + +126 +00:09:45,130 --> 00:09:49,910 +حلوة والسفر ده مفيد أما ال V الثابت بيغلب الثابت + +127 +00:09:49,910 --> 00:09:57,030 +بده قصة صحيح ولا لأ؟ تمام خمينا ننسى هذا نيجي لهذا + +128 +00:09:57,030 --> 00:10:04,310 +دي ربعكم هذا حل كامل بس عشان أبدأ أنا وياكم نفترض + +129 +00:10:04,310 --> 00:10:08,430 +في عندي معادلة من درجة تانية T تربيع زيادة خمسة T + +130 +00:10:08,430 --> 00:10:14,320 +زيادة تلاتة بتساوي سفرهذه أكم حالة بيطلع عيا الـT + +131 +00:10:14,320 --> 00:10:21,060 +هذا أي شيء بالنسبالي كفيزيائي زمان زمان طلع عندي T + +132 +00:10:21,060 --> 00:10:24,720 +حالين في الرياضيات لو هدي T في الرياضيات بقولك هذا + +133 +00:10:24,720 --> 00:10:29,140 +حالين مو ده بسالب بقبله صح ولا لأ؟ لو أنا كان هدف + +134 +00:10:29,140 --> 00:10:35,220 +زمان بقبل السالب ليش؟طبيعة المسألة بتقول المؤسسات + +135 +00:10:35,220 --> 00:10:40,060 +زمان ما بنكون سالب إذا المقبول رياضيا ممكن مايكونش + +136 +00:10:40,060 --> 00:10:44,860 +مقبول فيزيائيا صح ولا لأ؟ هجت هذا الحل خلص رياضيات + +137 +00:10:44,860 --> 00:10:50,040 +A و B و C قالتش أنا مانيش داعا فيك أنت أنا كل ثابت + +138 +00:10:50,040 --> 00:10:55,100 +إذا طلع قيمته بتناقض مسألتي بدلغيه صح ولا لأ؟ + +139 +00:10:55,100 --> 00:10:59,060 +الشيء مسألتك هدول بتحددولي قيمة مسألتي صح ولا لأ؟ + +140 +00:10:59,060 --> 00:11:06,180 +نيجي نتطلعبقولي نبدأ بالـ X هذا الـ turn الـ X هذا + +141 +00:11:06,180 --> 00:11:12,220 +الحين مش انا اتفق ان انا ابدأ بال zeros و اللي فيه + +142 +00:11:12,220 --> 00:11:16,400 +مش zero بدخليه للآخر هذا بدخليه للآخر بدأ أبدأ في + +143 +00:11:16,400 --> 00:11:18,520 +هذا طب عاملا حد يقول و اللي بدأ ينفع يبدأ من هنا + +144 +00:11:18,520 --> 00:11:21,100 +بنفع بقى معناته هذه الجزء بس خلينا نبدأ من هنا + +145 +00:11:21,100 --> 00:11:26,100 +عشان هو أول جزء بدأ أحط محل X ملا نهاية حلو هذه + +146 +00:11:26,100 --> 00:11:29,320 +صارت ملا نهاية وهذه صارت ملا نهاية أيش هذه بتعطي؟ + +147 +00:11:29,880 --> 00:11:34,100 +هذه بتعطي Zero طب أنا بديها Zero ولا لا؟ هذه + +148 +00:11:34,100 --> 00:11:38,780 +خلّيها .. طب هذه .. تعطيش Zero؟ هذه الحالة مرفوضة + +149 +00:11:38,780 --> 00:11:42,600 +فيزيائيًا مرفوضة + +150 +00:11:42,600 --> 00:11:46,160 +فيزيائيًا .. ماشي تتوعي طلعنا الـT وقلنا التفاض؟ + +151 +00:11:46,160 --> 00:11:49,600 +طب كيف هيك ترفضه؟ قال له هذه إيه ثابت؟ خلّي Zero + +152 +00:11:49,600 --> 00:11:54,500 +.. روح .. إذن هذا الحل مرفوض فيزيائيًا لأنه + +153 +00:11:54,500 --> 00:12:00,210 +مايعطيش Zero التاني بديك Zeroفهمتوا عليها كيف؟ إذا + +154 +00:12:00,210 --> 00:12:04,930 +بيقوللي الآن اللي بيجي تسأل ال equation ما تسأل + +155 +00:12:04,930 --> 00:12:08,850 +تسأله، إيش بيجي ع بالها تحكي؟ إيش بيجي ع بالها + +156 +00:12:08,850 --> 00:12:13,630 +تحكي يا بنات؟ احنا متفقين، انا هتغلب معاكم شوية، + +157 +00:12:13,630 --> 00:12:15,910 +في شوية Mathematics حتى اللي ماخدين differential + +158 +00:12:15,910 --> 00:12:18,990 +equation، تخفوش عليهم، برضه بيتغلبوا في هذا + +159 +00:12:18,990 --> 00:12:23,150 +الموضوع فهمتوا عليها؟ ولا أجوم أنا؟ حتى لو، يعني + +160 +00:12:23,150 --> 00:12:24,210 +ما .. ما .. ما .. ما .. ما .. ما .. ما .. ما .. ما + +161 +00:12:24,210 --> 00:12:24,530 +.. ما .. ما .. ما .. ما .. ما .. ما .. ما .. ما .. + +162 +00:12:24,530 --> 00:12:24,550 +ما .. ما .. ما .. ما .. ما .. ما .. ما .. ما .. ما + +163 +00:12:24,550 --> 00:12:25,210 +.. ما .. ما .. ما .. ما .. ما .. ما .. ما .. ما .. + +164 +00:12:25,210 --> 00:12:30,910 +ما .. ما ..تمام from the last equation انا بديت + +165 +00:12:30,910 --> 00:12:35,990 +ايش بيقوللي؟ we have a لازم تسوى سفر لأن لو a + +166 +00:12:35,990 --> 00:12:39,670 +ماسواتش سفر بيطلعش الجهد zero وانت بتقوللي لازم + +167 +00:12:39,670 --> 00:12:43,170 +الجهد يطلع zero طب و ال b بيقوللي ال b و لا بيفرجش + +168 +00:12:43,170 --> 00:12:46,470 +لما هيطلع ال zero خليه هذا حال مقبول لكن هذا حال + +169 +00:12:46,470 --> 00:12:51,550 +مرفوض كيف ارفضه؟ يعني كل ال is zero اذا from the + +170 +00:12:51,550 --> 00:12:56,510 +last condition we have a بتسوى سفر عند هذه النقطة + +171 +00:12:56,510 --> 00:13:01,650 +فاهمت؟ليش؟ لأنه بيناقض الـBoundary Condition هذا + +172 +00:13:01,650 --> 00:13:07,150 +بيناقض طبيعة المسألة هذا من طبيعة المسبلة أنه لما + +173 +00:13:07,150 --> 00:13:10,570 +X goes to منة نهاية لازم يطلع الجواب Zero وهذا + +174 +00:13:10,570 --> 00:13:14,690 +بيطلع الكاس Zero بيطلعلك منة نهاية صح ولا لأ؟ إذن + +175 +00:13:14,690 --> 00:13:22,450 +هذا الحل يتناقض مع طبيعة السؤال حلو قال طيب و هذا؟ + +176 +00:13:23,540 --> 00:13:27,440 +هذا .. ماذا يحكي على X و لا على Y؟ Y إذا أنا في + +177 +00:13:27,440 --> 00:13:30,220 +الجثة هذا أو في الجثة هذا؟ في الجثة هذا إيه + +178 +00:13:30,220 --> 00:13:35,780 +الصينيستفير؟ إذا هذا معاك حلو وإيش كوسينيستفير؟ + +179 +00:13:35,780 --> 00:13:41,900 +إذا اديها ده برتفت فيزيائيًا إذا هذا ممنوع والله + +180 +00:13:41,900 --> 00:13:45,720 +حلو السؤال هاي .. شوفوا انتوا الحال كان أربع ثابت + +181 +00:13:45,720 --> 00:13:49,900 +كام ثابت دال؟ واحد يعتبروا B في C ما هو ثابت واحد + +182 +00:13:49,900 --> 00:13:54,690 +صح؟و ال key بعدين بنشوفها اذا from the first + +183 +00:13:54,690 --> 00:14:00,710 +condition we have D بتساوي سفر لأنه + +184 +00:14:00,710 --> 00:14:03,330 +لما حطيت سفر قاللي هذه سفر امين انا هاللي بديها + +185 +00:14:03,330 --> 00:14:09,330 +سفر خلّيه طب و هذه طلعت D لها دي بتكون Zero و الا + +186 +00:14:09,330 --> 00:14:15,770 +بيبطل ال condition عندك اذا D goes to Zero اذا ايش + +187 +00:14:15,770 --> 00:14:19,770 +ظهر عندك الحال؟ قاللي واحدة واحدة هاي الحالصار + +188 +00:14:19,770 --> 00:14:26,750 +عندك ب في سي مش ب في سي الشي ب و الشي سي بتعرفوه؟ + +189 +00:14:26,750 --> 00:14:33,870 +لأ بتسميهم سي جديدة صحيلي ولا بصحيليش؟ صحيلك ب في + +190 +00:14:33,870 --> 00:14:37,810 +سي اعتبرتهم سي جديدة واحد بيقول انت ماحطتش لسي هدي + +191 +00:14:37,810 --> 00:14:43,360 +سي مش هدي سيصح؟ هدى C غير عن هدى C، CG ده دى بتكون + +192 +00:14:43,360 --> 00:14:47,320 +تحطه FG بس مش مشكلة مهما تفتين على مبدأ بدناش + +193 +00:14:47,320 --> 00:14:50,540 +نجاتل النطور، بدنا ناكل عنف، ان انا بدي ثابت انا، + +194 +00:14:50,540 --> 00:14:53,060 +اي ان كان ثابت، اش تفاصيله ما نجدعه فيه، ما زالوا + +195 +00:14:53,060 --> 00:14:57,200 +مجهول، اعمل الفيلم بإنت كيان، تمام، ايه كان ثابت، + +196 +00:14:57,200 --> 00:15:03,340 +ضل عندك، K و C، K و C، صح ولا لأ؟ كلكم فاهمين إيش + +197 +00:15:03,340 --> 00:15:07,520 +اللي بسوي؟ حلوقال لي إيش ضاير عندك؟ قال لي و الله + +198 +00:15:07,520 --> 00:15:10,520 +هاد الحلوة شوف إيش بتسجليني لأنه فيها سفر برضه + +199 +00:15:10,520 --> 00:15:14,060 +بيقول ليه إيش بقى تحوط؟ محلي ال Y إيش؟ سفر ولا + +200 +00:15:14,060 --> 00:15:19,580 +إيه؟ إيه طب حط إيه صارت هدي إيه؟ لازم يطلع الجواب + +201 +00:15:19,580 --> 00:15:26,920 +سفر إذن عشان يطلع سفر، sign إيش السفر هو؟ sign + +202 +00:15:26,920 --> 00:15:34,740 +السفر و sign ال bySin باي والتنين باي والتلاتة باي + +203 +00:15:34,740 --> 00:15:40,280 +بيقول لي معناته كي في إيه لو سوى أن في باي بتصحي + +204 +00:15:40,280 --> 00:15:45,100 +الجواب صحيح طلعت ال K اللي بتدور عليها أنا إذا ال + +205 +00:15:45,100 --> 00:15:52,460 +K احكي بالجاوبة إذا معناته ال K بيسوى أن باي على + +206 +00:15:52,460 --> 00:15:56,520 +إيه؟ واش ال in هذه؟ 01 و 2 و 3 و 4 و 5 و مضلك ماشي + +207 +00:15:56,520 --> 00:16:02,900 +للآخر هي في كمثلة بتطلعفي كمان ثابت طالع تمام؟ إذا + +208 +00:16:02,900 --> 00:16:06,200 +هدا + +209 +00:16:06,200 --> 00:16:14,860 +ماشي الأمور؟ عيدي بنعيد حلو مش هاد روحت و هاد روحت + +210 +00:16:14,860 --> 00:16:20,140 +اتظل عندك B في C و هاد في هاد هاد في هاد موجودين + +211 +00:16:20,140 --> 00:16:25,880 +ال B في ال C من خلهم C؟ هيوة سمتوا ثابت انجد C + +212 +00:16:27,660 --> 00:16:30,660 +الـCG ده عشان كده عمان وانت بتكتبي عشان كده انا + +213 +00:16:30,660 --> 00:16:36,720 +بكره انه حد يكتب قولت C هادي مهيجش C هادي هادي + +214 +00:16:36,720 --> 00:16:40,620 +عبارة عن C هادي في B تبعتها فـCG ده هادي لكن في + +215 +00:16:40,620 --> 00:16:43,500 +الآية عشانها مجهولة مفرجش معايا ايش ما بدك سميها + +216 +00:16:43,500 --> 00:16:50,180 +سميها تمام هو ده؟ حلو الآن بدي اجي اكملبدي أقول + +217 +00:16:50,180 --> 00:16:55,320 +أستخدم هذا ال condition at y بتساوي ايه؟ بيقول لي + +218 +00:16:55,320 --> 00:17:01,040 +from the second condition جالي لازم sign ال k a + +219 +00:17:01,040 --> 00:17:07,760 +تساوي zero لازم و هذا بيقول ان لازم k a تساوي in + +220 +00:17:07,760 --> 00:17:11,440 +pi على a in pi على a ممكن راح تبدأ من ال zero مش + +221 +00:17:11,440 --> 00:17:15,270 +مشكلةو الـ N عبارة عن واحد و اتنين و تلاتة و اربعة + +222 +00:17:15,270 --> 00:17:19,770 +و كله كله Zero. اذا ال K طلعت ولا بقى طلعتش؟ ايه + +223 +00:17:19,770 --> 00:17:23,870 +دولة عندي؟ ال C حبيبتنا، مظبوط ولا لأ؟ اللي ضلت، + +224 +00:17:23,870 --> 00:17:28,870 +مش غيرها، تمة. اذا هذه الحل .. من وين هي فى + +225 +00:17:28,870 --> 00:17:34,030 +الصميشة؟ و تلوم هو كم ن عندك؟ عندك نات كتيرة و + +226 +00:17:34,030 --> 00:17:39,990 +بالتالي منطقي ان يكون عندك لكل N حل. صح؟ فصارت هيك + +227 +00:17:39,990 --> 00:17:40,050 +.. + +228 +00:17:44,900 --> 00:17:48,480 +كله .. ها .. بدلي الـ K إيش عطيت؟ In, By على إيه؟ + +229 +00:17:48,480 --> 00:17:52,480 +و هنا كان في K عوضت عنها فضلش عندي اللي مجهول وحيد + +230 +00:17:52,480 --> 00:17:57,620 +اللي هو الـCN تمام؟ طبعا نيجي نقول كام بدي أحلها + +231 +00:17:57,620 --> 00:18:01,700 +دي؟ ضلي شيلها ال condition إيش بيقول ال condition؟ + +232 +00:18:01,700 --> 00:18:07,880 +بيقوللي عند X بتساوي سفر أظن إيه؟ V إيش بتساوي؟ + +233 +00:18:07,880 --> 00:18:11,640 +They know؟ بيقوللي أوضحش و مش بتطلع معاكأنا جيش + +234 +00:18:11,640 --> 00:18:16,320 +بيش بقولي from the third condition we have بديل V + +235 +00:18:16,320 --> 00:18:20,820 +حطيت V note و بديل X إيش حطيت؟ سفر إيش e to the + +236 +00:18:20,820 --> 00:18:27,960 +power of 0؟ واحد طبعا + +237 +00:18:27,960 --> 00:18:33,520 +لو تشتتوا تطلعوا انتوا هذه الـCN بدياها الـCN + +238 +00:18:33,520 --> 00:18:38,100 +بدياها وهذه جوا summationمظبوط ولا لأ؟ كيف بدي + +239 +00:18:38,100 --> 00:18:43,700 +أحلها؟ طبعا الوهلة الأولى صعبة بحالها، مظبوط قبدها + +240 +00:18:43,700 --> 00:18:49,620 +تكنيك عاليكيف إجت عبالهم؟ هم هو .. هي إجت عبالهم + +241 +00:18:49,620 --> 00:18:54,660 +مانزلش جبريل عليهم قدهم الحل تقبوا كتير و حاولوا + +242 +00:18:54,660 --> 00:18:58,300 +كتير و خبصوا كتير و غلطوا لما زهجوا في الآخر + +243 +00:18:58,300 --> 00:19:01,480 +اهتدوا طبعا كيف اهتدوا؟ من كتر ما عندهم جابوا كل + +244 +00:19:01,480 --> 00:19:04,440 +كتب الدنيا حواليهم كل حاجة بتتعلق في هذه الشغلات + +245 +00:19:04,440 --> 00:19:07,900 +جابوها جالوا هنا فيه sign ايش فيه sign في الدنيا؟ + +246 +00:19:07,900 --> 00:19:10,180 +هاتوا كل كتب الـSin وكتب الـSin هاتوا كل كتب + +247 +00:19:10,180 --> 00:19:13,240 +الـMathematical Physics وكل كتب الـCalculus وطلعوا + +248 +00:19:13,240 --> 00:19:21,310 +عليهم داجوا فيه ..و قدامهم هالتكامل sin nx sin n + +249 +00:19:21,310 --> 00:19:26,370 +شرطة x dx بيساوي شغلة معينة delta n in شرطة ده + +250 +00:19:26,370 --> 00:19:29,430 +جمهورها هاد فورملة موجودة قالوا الله هادي و الله + +251 +00:19:29,430 --> 00:19:36,550 +لو زبطت معانا حلتنا مشكلتنا حلتنا مشكلتنا تمام؟ في + +252 +00:19:36,550 --> 00:19:40,950 +تكامل و في sin و sin قالوا طب كيف بنستفيد منها؟ + +253 +00:19:40,950 --> 00:19:45,820 +قالوا سهلة اقدروا بطرفي المعادلة بsin in شرطةوكامل + +254 +00:19:45,820 --> 00:19:52,300 +وشوف إيش بطلع معاكي واحدة واحدة وما تخافوش يعني من + +255 +00:19:52,300 --> 00:19:55,660 +وين جت هذه لأ واحدة واحدة بيقول multiply both + +256 +00:19:55,660 --> 00:20:00,960 +sides by sign in شرطة by على a for y and integrate + +257 +00:20:00,960 --> 00:20:07,000 +قال هيك طلعتهذا هو اللي شفوه هذا شفوه في أحد الكتب + +258 +00:20:07,000 --> 00:20:09,660 +قالوا هذا بدي أستخدمه واحد بيقول طب و احنا من أين + +259 +00:20:09,660 --> 00:20:13,700 +بتيجي عبالنا السؤال اللي كنا طلاب دايما نقوله لبعض + +260 +00:20:13,700 --> 00:20:17,220 +كيف بتيجي عبالنا ده في الامتحان؟ مظبط ولا لا؟ احنا + +261 +00:20:17,220 --> 00:20:21,780 +هيك كنا طبعا انت مش هيجي ع بالك لحالك إلا يكتب لك + +262 +00:20:21,780 --> 00:20:28,020 +hint لو أنا كتبت لك hint using التكامل هذا بيسوي + +263 +00:20:28,020 --> 00:20:31,730 +كذابتقول كيف بدي أعمل using؟ كيف بدي أخلي هدى زي + +264 +00:20:31,730 --> 00:20:36,090 +هدى؟ واضح, sign هيو, إيش بدي أسوي؟ بدي أعضرب؟ ومرة + +265 +00:20:36,090 --> 00:20:38,670 +أتبع كم من اللي بقول أقعد ربط رفي المعادلة وكذا و + +266 +00:20:38,670 --> 00:20:41,230 +using this integration، بصرا أسهل عليكم، و مولا لأ + +267 +00:20:41,230 --> 00:20:45,730 +طبعا هناك ما حد جالهم hint هم .. هم اللي حاولوا، و + +268 +00:20:45,730 --> 00:20:49,670 +هم اللي جاعدوا أسبوع، أسبوعين، عشرة، استعانوا + +269 +00:20:49,670 --> 00:20:52,920 +بـ100 صديق، و الله أعلم إيش سوواتمام؟ استعانوا بكل + +270 +00:20:52,920 --> 00:20:55,240 +المعلومات اللي عندهم و كل الكتب اللي بعرفوها + +271 +00:20:55,240 --> 00:21:00,160 +جابوها فإجت عندهم الفكرة احنا مش مطلوب مننا نكون + +272 +00:21:00,160 --> 00:21:04,620 +زيهم ولا نتعب زيهم ولا نجيب كل كتب زيهم احنا بنجشر + +273 +00:21:04,620 --> 00:21:08,680 +الشغلة و بنحطها قدامك بال hint تمام هيك ولا لا؟ + +274 +00:21:08,680 --> 00:21:13,280 +هذا التكامل في كتاب ال mathematical physics موجود + +275 +00:21:13,280 --> 00:21:21,450 +قيمته تمام؟ بنقولكم علما بأن هذا التكاملهذا بديكوا + +276 +00:21:21,450 --> 00:21:26,110 +100 بساوي هذا من + +277 +00:21:26,110 --> 00:21:30,170 +أين جيبناها يا غدير؟ مُعطَع بقدر أثبته؟ آه بقدر + +278 +00:21:30,170 --> 00:21:34,910 +أثبته بس مش أنتوا سنة جاية أفهمتوا عليها؟ مر عليكي + +279 +00:21:34,910 --> 00:21:38,890 +يا ديوم أنا؟ مامر أي شيء ممكن يكون ماخدتهوش بال .. + +280 +00:21:38,890 --> 00:21:44,290 +الـ Fourier Expansion والشغلات هذه والـ Integral + +281 +00:21:44,290 --> 00:21:47,850 +Transformيمكن في مثلاتك ال physics one ولا تون؟ + +282 +00:21:47,850 --> 00:21:51,890 +ماشي مجمّع عنها الجديد في وين بتكون موجودة أهذه + +283 +00:21:51,890 --> 00:21:58,310 +المفروض يكون حتى في calculus لأ ممكن بيه بتصبتش لأ + +284 +00:21:58,310 --> 00:22:02,650 +أكيد يعني تمام انتوا معلوماتكم في بيه أجد مني أنا + +285 +00:22:02,650 --> 00:22:06,070 +بيتبعت دي جديمة و بتخشش المعلومات ببعض وين جت وين + +286 +00:22:06,070 --> 00:22:11,830 +راحت تمام طب في النهاية بنات بالنسبة ليه؟ أنا هذا + +287 +00:22:11,830 --> 00:22:18,860 +التكامل بديكم قيمته بديكم قيمتهحطيته بعد ما ضربت + +288 +00:22:18,860 --> 00:22:23,200 +طرفي المعادلة إبصين إن شرطة باي علي أي دي واي + +289 +00:22:23,200 --> 00:22:27,560 +وتكملت وكملت وبدأت عندي هيك طبعا لازم أتشانوا شوية + +290 +00:22:27,560 --> 00:22:32,900 +معلومة بدي أكم تقضوها الـ Delta بتعرفوها؟ أخدتوها + +291 +00:22:32,900 --> 00:22:38,440 +الـ Delta هذه؟ مرت عليكم ولا لا؟ Delta إن إن شرطة + +292 +00:22:38,440 --> 00:22:43,380 +بتساوي إما واحد أو سفر مظبوط هيك ولا لأ؟ تمام، + +293 +00:22:43,380 --> 00:22:44,020 +ماكنتش واحد + +294 +00:22:48,630 --> 00:22:52,850 +صحيك؟ لازم نفهم الدلتا إذا خشت جوا صماشي لغة + +295 +00:22:52,850 --> 00:22:57,630 +الصماشي شغلها منطقية، إيش صمت شغلها؟ كم in فيه؟ + +296 +00:22:57,630 --> 00:23:01,250 +100 in، صح؟ طب لما كنت تتعرفيش بيقولك كله سفر إلا + +297 +00:23:01,250 --> 00:23:07,070 +واحدة، لما in سوى in شرطة، صح؟أنا عندي 100 term + +298 +00:23:07,070 --> 00:23:11,350 +كلهم صفر لأن كلهم بتكون N بتختلف عن N شرطة إلا + +299 +00:23:11,350 --> 00:23:15,890 +واحدة لما N تسوى N شرطة صح ولا لأ؟ إذا اتدالك لما + +300 +00:23:15,890 --> 00:23:18,630 +تدخلش دروس الـSummation أكم تيرم بقى طالع تيرم + +301 +00:23:18,630 --> 00:23:23,450 +واحد بلغة الـSummation هتجت هنا إيش بيقول؟ أنت + +302 +00:23:23,450 --> 00:23:29,050 +قاعد بتجمع هب أنه N شرطة هذه عشرة إيش بيطلع الجواب + +303 +00:23:29,050 --> 00:23:36,530 +هنا؟ C إيش بيحط؟ C عشرة C عشرة A على 2صح؟ لو كانت + +304 +00:23:36,530 --> 00:23:43,590 +in شرطة هذه sorry لو كانت in لنفترض مية بتيجي عندي + +305 +00:23:43,590 --> 00:23:47,630 +واحدة بس وبالتالي كل هذه بتيجي عندي term واحد إذا + +306 +00:23:47,630 --> 00:23:52,110 +هذه جوابها خليني أقول هذه عبارة عن C if شرطة + +307 +00:23:52,110 --> 00:24:03,950 +إعتنين صحيك؟ نور لأ طلع يا نور هذه بدي أفكهابدي + +308 +00:24:03,950 --> 00:24:11,510 +أفكها صارت C0 صارتها إيه؟ على 2 C0 Delta 0 in شرطة + +309 +00:24:11,510 --> 00:24:17,070 +Delta C1 Delta 1 in شرطة Delta C2 Delta 2 in شرطة + +310 +00:24:17,070 --> 00:24:24,450 +مش هيكم ال fact؟ صح؟ هلجيت؟ in شرطة كم بدك إيها؟ + +311 +00:24:24,450 --> 00:24:32,120 +عشرة كم هذي؟ سفر و عشرة كم الجواب؟ Zero و هذي؟زيرو + +312 +00:24:32,120 --> 00:24:38,520 +وهذه بس بيظل عندك دلتا عشرة ان شرطا انت مصبوط ولا + +313 +00:24:38,520 --> 00:24:43,720 +لا؟ ايش بيكون هنا C ايش؟ ايش بيطلع الدعوة C عشرة؟ + +314 +00:24:43,720 --> 00:24:48,620 +اذا ايه أكم قيمة أخدتي؟ والباقين؟zero لأنه كله + +315 +00:24:48,620 --> 00:24:53,840 +بيصير 11 عشرة 12 عشرة اذا انا كم تيرم باخد بستين + +316 +00:24:53,840 --> 00:24:58,260 +اللي هو قيمة in شرطة قيمة in شرطة اللي قلناها عشرة + +317 +00:24:58,260 --> 00:25:05,860 +اذا هذه بتطلع في in شرطة بس و كل الترمات روحت تمام + +318 +00:25:05,860 --> 00:25:08,440 +حاجة ليش انا بحط in و in شرطة بالمرة يا نور؟ ليش + +319 +00:25:08,440 --> 00:25:12,340 +انا بحط in و in شرطة؟ ليش انا حطت in و in شرطة؟ + +320 +00:25:12,340 --> 00:25:18,720 +ليش حطت شرطة هذه؟بنفرج بين الان والان شرطة طب + +321 +00:25:18,720 --> 00:25:22,400 +واحدة منهم راحت، في داعي أحط الان شرطة؟ هنا إيش + +322 +00:25:22,400 --> 00:25:29,680 +ضال عندي؟ في جواب؟ بدي أجيبها الشرطة، مافيش داعي + +323 +00:25:29,680 --> 00:25:36,860 +إيش؟ + +324 +00:25:36,860 --> 00:25:46,330 +ماسندتش؟ بعيد، بعيد، وين علجت؟وين عالسجد؟ براه مش + +325 +00:25:46,330 --> 00:25:51,150 +ورانا اشي اللي مش واضح هيجيت قيمة التكامل هدأ مو + +326 +00:25:51,150 --> 00:25:54,850 +عطاينك تمام؟ ال delta مرت عليكي قبل هك؟ قبل + +327 +00:25:54,850 --> 00:25:58,490 +المحاضرة هذه؟ مرت هيجيت احنا بنعرف ان ال delta + +328 +00:25:58,490 --> 00:26:03,370 +معناته انهاش قيمة الواحد مرة واحدة لما ان تساوي ان + +329 +00:26:03,370 --> 00:26:07,650 +الشرطة، مظبوط؟ و باقى القيام؟ Zero هيجيت انا عندي + +330 +00:26:07,650 --> 00:26:12,220 +صار في جوا ال summation في deltaأيش معناته؟ معناته + +331 +00:26:12,220 --> 00:26:17,680 +كل الترمات Zero إلا إذا كانت N بتسوي N شرطة، إذا + +332 +00:26:17,680 --> 00:26:26,160 +معناته هذا كله الأصل تكون A ع 2 C N شرطة، بس، وكل + +333 +00:26:26,160 --> 00:26:29,400 +باقي الترمات Zero، إذا مافي ده على ال summation، + +334 +00:26:29,400 --> 00:26:32,540 +طيب، C N شرطة، بقول أنا بحط ال N و ال N شرطة عشان + +335 +00:26:32,540 --> 00:26:36,320 +انا فاز بين Two N's، أكم N عندي ده في المعاملة، في + +336 +00:26:36,320 --> 00:26:39,660 +السؤال، في الآخرة مافيش ال N واحدة، مافيش ده على + +337 +00:26:39,660 --> 00:26:43,880 +الشرطةلأن في نهاية شيئة N وشيئة In شرطة N من واحد + +338 +00:26:43,880 --> 00:26:47,980 +لمية و للألف لمليون و ال In شرطة زيها ما هي مجرد + +339 +00:26:47,980 --> 00:26:57,520 +عبارة عن رمز يعني انت + +340 +00:26:57,520 --> 00:27:02,420 +بتدور على ال CN اندرست تجيب ال CN؟ اه خلاص ال CN و + +341 +00:27:02,420 --> 00:27:05,960 +في حد بعرفش كامل ال sign يا بنات؟ في حد بعرفش كامل + +342 +00:27:05,960 --> 00:27:09,660 +ال sign؟ كلنا بنعرف ان كامل ال sign ايش تكامل ال + +343 +00:27:09,660 --> 00:27:17,020 +sign؟Cos بالسالب طيب كملنا ها يالا نكمل عشان الشكل + +344 +00:27:17,020 --> 00:27:20,740 +الحلو ناخد فيها وجهة اللي بتعرفوها يعنى فى حد + +345 +00:27:20,740 --> 00:27:22,920 +بعرفش اللي كامل ال sign و ال cosine انكملها يا + +346 +00:27:22,920 --> 00:27:27,020 +بنات يالا جسم + +347 +00:27:27,020 --> 00:27:35,040 +على هيك صارت a على n pi بالسالب cos n pi على a من + +348 +00:27:35,040 --> 00:27:41,750 +صفر لإيه؟ عشان كنا بنعمل جاعدين؟ حلوعندما أضغط في + +349 +00:27:41,750 --> 00:27:49,470 +الـ Y يظهر الـ Y ويظهر الـ A ويظهر الـ A ويظهر الـ + +350 +00:27:49,470 --> 00:27:49,830 +A ويظهر الـ A ويظهر الـ A ويظهر الـ A ويظهر الـ A + +351 +00:27:49,830 --> 00:27:51,430 +ويظهر الـ A ويظهر الـ A ويظهر الـ A ويظهر الـ A + +352 +00:27:51,430 --> 00:27:53,310 +ويظهر الـ A ويظهر الـ A ويظهر الـ A ويظهر الـ A + +353 +00:27:53,310 --> 00:27:54,350 +ويظهر الـ A ويظهر الـ A ويظهر الـ A ويظهر الـ A + +354 +00:27:54,350 --> 00:27:57,970 +ويظهر الـ A ويظهر الـ A ويظهر الـ A ويظهر الـ A + +355 +00:27:57,970 --> 00:28:06,690 +ويظهر الـ A ويظهر الـ A ويظهر + +356 +00:28:06,690 --> 00:28:14,650 +العشان هنا ناقص وهنا سارت هدا هي لعندي هنا واضح هل + +357 +00:28:14,650 --> 00:28:19,670 +جيت؟ احكي احكي معاها لا تحكيش معاها لا مش في على + +358 +00:28:19,670 --> 00:28:26,910 +مقار معايا هي هي ايه على ن باى؟ مش انا بأتكامل ال + +359 +00:28:26,910 --> 00:28:32,150 +sign مش عبارة عن ال cosine و بجسم على ال u بحكي + +360 +00:28:32,150 --> 00:28:34,590 +لما تسلم ال cosine إلى zero واحد + +361 +00:28:37,330 --> 00:28:42,030 +ماشيلنا فيها؟ ماشيلنا فيها؟ إيش بتحط هنا سفر؟ كلها + +362 +00:28:42,030 --> 00:28:48,990 +في سفر؟ لأ لأ هذه هيها هيها هيها لأ لأ هيك تمام + +363 +00:28:48,990 --> 00:28:55,950 +طيب نيجي ل cosine n pi هذه ال n إيش بتساوي؟ مرة + +364 +00:28:55,950 --> 00:28:59,210 +واحد و مرة اتنين و مرة تلاتة و مرة أربعة من يقول + +365 +00:28:59,210 --> 00:29:07,610 +يجدش cosine ال pi؟ و cosine اتنين pi؟1 طب انت ال n + +366 +00:29:07,610 --> 00:29:10,110 +هنا مرة مرة بكون واحد و مرة اتنين و مرة تلاتة و + +367 +00:29:10,110 --> 00:29:18,610 +مرة اربعة لو كانت ال n اتنين كدهش جواب واحد + +368 +00:29:18,610 --> 00:29:25,490 +ناقص اكم الجواب طب لو كانت ال n اربعة و ستة و + +369 +00:29:25,490 --> 00:29:31,090 +تمانية اذا لو كانت ال n even اكدهش جواب و لو كانت + +370 +00:29:31,090 --> 00:29:36,250 +odd واحد سالب واحد اتنينأتنين إذا إتنين إيه؟ إذا + +371 +00:29:36,250 --> 00:29:40,730 +هيش جواب إذا عندك الحل إما صفر لما تكون eleven أو + +372 +00:29:40,730 --> 00:29:44,270 +هدى لما قود انت قاعد بتدور على ال CNN معناته ال + +373 +00:29:44,270 --> 00:29:47,790 +CNN ال even مالوش جواب ال even كله تطلع جديش معايا + +374 +00:29:47,790 --> 00:29:56,460 +zero إذا معناته حل ال CNN تبعتيهيرجعتي انت هنا و + +375 +00:29:56,460 --> 00:29:59,380 +هاي حلك مشينا فى صغرنا و ضال علينا إيش كان نجيب + +376 +00:29:59,380 --> 00:30:03,920 +كيه و جبناها و see in و see in جبتها عبارة عن هنا + +377 +00:30:03,920 --> 00:30:09,640 +اتنين تمام و من هنا بيجي عندى أصلا موجود اتنين + +378 +00:30:09,640 --> 00:30:13,640 +فلما عملت صارت أربعة denote على by واحد على in هدا + +379 +00:30:13,640 --> 00:30:18,740 +هي اتوا بقى نقص in و هاي و إيش جالي حطها الاناتي + +380 +00:30:18,740 --> 00:30:23,320 +even ولا odd بس بس odd جالي واحد و تلاتة و خمسة و + +381 +00:30:23,320 --> 00:30:24,260 +سبعة خلصوا حلو + +382 +00:30:27,090 --> 00:30:36,050 +خلص الحل هدى + +383 +00:30:36,050 --> 00:30:39,970 +يعنى؟ + +384 +00:30:39,970 --> 00:30:45,270 +حلو شفها ال .. أنا قاعد بديل ال CN هى التنين تنين + +385 +00:30:45,270 --> 00:30:50,050 +و تنين اربعة أيه + +386 +00:30:50,050 --> 00:30:50,750 +السفسار؟ + +387 +00:30:59,540 --> 00:31:06,800 +وصلت لـ 50% الـ + +388 +00:31:06,800 --> 00:31:12,700 +Vnot قصدك؟ ما رأيك؟ اه Vnot طلع انا انا دلت اكمل + +389 +00:31:12,700 --> 00:31:16,940 +الـSin فكملت الـSin انا و بعدين وحطيتها لأنه من + +390 +00:31:16,940 --> 00:31:21,870 +الثابت كان التكمل صعبلو ان هناك اشي كوساين و لا + +391 +00:31:21,870 --> 00:31:25,610 +اعلم ايش يكون و لا X بصي صعب التكامل صح ولا لأ؟ + +392 +00:31:25,610 --> 00:31:28,690 +بدي ارجع للرياضيات أشوف كيف كان التكامل ولكن في + +393 +00:31:28,690 --> 00:31:31,630 +نوت طلعته قال ايش ده ايش بضل عندك داخل التكامل؟ + +394 +00:31:31,630 --> 00:31:35,570 +ساين و التكامل للساين تعطيه ولا تعرفوش؟ كملت عشان + +395 +00:31:35,570 --> 00:31:39,370 +كده شطرت عليه عشان التكامل للساين لكن لو في X ولا + +396 +00:31:39,370 --> 00:31:42,490 +X تربيع ولا X provincial معناته بدي تقنية جديدة صح + +397 +00:31:42,490 --> 00:31:47,980 +ولا لأ؟ هو في نوت هو الدنيا ثابتفهذا مُعطى لأن V + +398 +00:31:47,980 --> 00:31:50,420 +note بيساوي constant لو مش constant كان قاللي إيش + +399 +00:31:50,420 --> 00:31:57,360 +بيساوي فهمت عليها؟ فهو constant غيرها ليش + +400 +00:31:57,360 --> 00:32:00,940 +كمان فيه سيصار؟ + +401 +00:32:00,940 --> 00:32:07,220 +هجيت كل الثواب يجيبتهم ولا لأ؟ هاي الحل خلص هذا حل + +402 +00:32:07,220 --> 00:32:13,780 +خلصته فيش .. فيش مجهول هنا؟ ولا إش ال N هذا هي 1,3 + +403 +00:32:13,780 --> 00:32:19,010 +,4 ال V note هو الدنيا مُعطىو Y و X انت عارف Y و X + +404 +00:32:19,010 --> 00:32:24,350 +هم ال variables و A من سفر لأيه برضه معطى اللي هو + +405 +00:32:24,350 --> 00:32:44,170 +عرض المنطقة فهي الحل بكل المعطيات في استفسار بدي + +406 +00:32:44,170 --> 00:32:49,610 +أحلي الآنسؤال لبلاس equation نفسها بالـ spherical + +407 +00:32:49,610 --> 00:33:00,030 +coordinates دلتر بيعل V بالثاوزي U دلتر + +408 +00:33:00,030 --> 00:33:04,430 +بيعل V بالثاوزي U هي لبلاس بتدحلها بالـ spherical + +409 +00:33:04,430 --> 00:33:05,270 +coordinates + +410 +00:33:10,530 --> 00:33:14,870 +التربيع البلسفريكال أخدناه مع بعض صح ولا لأ؟ وقلنا + +411 +00:33:14,870 --> 00:33:20,730 +هذا من الشغلات اللي بنشحته it is given ايش دي + +412 +00:33:20,730 --> 00:33:26,610 +التربيع؟ قال لي هاي دي التربيع هاي + +413 +00:33:26,610 --> 00:33:28,870 +دي التربيع بالسفريكال coordinates طبعا المفروض في + +414 +00:33:28,870 --> 00:33:32,850 +كمان ترمي يعتمد على في لكن هو مش بيقولي V هيعتمد + +415 +00:33:32,850 --> 00:33:38,350 +فقط على R و Theta two dimensional لا يعتمد على في + +416 +00:33:39,290 --> 00:33:43,770 +هذه كورة أيام + +417 +00:33:43,770 --> 00:33:53,670 +الكورة ذاكرين جهود كيف طلع برا؟ صح؟ بيعتمد على + +418 +00:33:53,670 --> 00:34:00,790 +فيتا؟ ولا عفاية صح يعني؟ هنا one dimensional يعتبر + +419 +00:34:00,790 --> 00:34:07,830 +في حالتي هان غير عنهان غير عنهان عملت أبغير فيتا + +420 +00:34:08,490 --> 00:34:13,190 +لكن هيك لأ على نفس ال plane انا اش فيه شغال ثوابت + +421 +00:34:13,190 --> 00:34:16,550 +تمام فبقوللي فيه ما لو كانت هنا غير عن هنا غير عن + +422 +00:34:16,550 --> 00:34:20,330 +هنا ايش بده يكون حلق تمام واحدة واحدة اللي صار + +423 +00:34:20,330 --> 00:34:24,110 +فيزيا ماجتش بدنا نشتغل رياضيات اول قاللي ها دي + +424 +00:34:24,110 --> 00:34:29,230 +معادلة كيف بدك تحلها جمالها + +425 +00:34:29,230 --> 00:34:31,750 +دي معادلة ordinary differential equation ولا + +426 +00:34:31,750 --> 00:34:36,950 +partial differential equation partialpartial بقدرش + +427 +00:34:36,950 --> 00:34:40,950 +أحلها لما أحولها ل ordinary تمام؟ المرة دي أنا + +428 +00:34:40,950 --> 00:34:44,610 +وياكم أخدنا تقنيك عشان أحول من partial ل ordinary + +429 +00:34:44,610 --> 00:34:48,630 +بدي أفرض ال function تبعي عبارة عن حاصل درب two + +430 +00:34:48,630 --> 00:34:52,750 +functions واحد يعتمد على ال variable الأول والتاني + +431 +00:34:52,750 --> 00:34:55,710 +يعتمد على ال variable التاني انت ايش بتحلل؟ مش انت + +432 +00:34:55,710 --> 00:35:00,530 +بتحلل V؟ و V بالنسبة إيه لك؟ عايش بيعتمد على ايش؟ + +433 +00:35:00,530 --> 00:35:04,740 +إذن هذا بتسوي capital R في Rفي capital FETA في + +434 +00:35:04,740 --> 00:35:11,500 +FETA هاي أول تأثير في شغلنا بدي أفرض عشان أقدر + +435 +00:35:11,500 --> 00:35:13,700 +أتعامل مع ال differential equation اللي بيسميها + +436 +00:35:13,700 --> 00:35:17,920 +partial وانت قاعد بتحل بمجهول مجهولك هو V ال + +437 +00:35:17,920 --> 00:35:21,220 +function V انت اللي بدك إياه بفرضه على طول capital + +438 +00:35:21,220 --> 00:35:26,720 +R في capital FETA تمام نجليني يا هدا عايز بفاضل + +439 +00:35:26,720 --> 00:35:32,750 +هنا على R هادي من ساعة اللحظة براأذا capital FETA + +440 +00:35:32,750 --> 00:35:37,730 +على capital R تربية اللي دلّه عيش بفاضله capital R + +441 +00:35:37,730 --> 00:35:41,930 +ولا لا؟ حكم فيه variable بعتمد؟ فى داعى يحط + +442 +00:35:41,930 --> 00:35:48,330 +partial؟ بقى مبطّى فى مداعي لل partial D على DR R + +443 +00:35:48,330 --> 00:35:56,070 +تربية D capital R على DR زائد نوره عيش بفاضلنا يا + +444 +00:35:56,070 --> 00:36:02,230 +نورCapital R بتطلعها برا ولا لا؟ Capital R على R + +445 +00:36:02,230 --> 00:36:07,530 +تربيع Sine of Theta أحط partial ولا D Theta الآن؟ + +446 +00:36:07,530 --> 00:36:12,890 +D لأن هو كان variable دلوا واحد صارت D على D Theta + +447 +00:36:12,890 --> 00:36:19,830 +Sine of Theta D Capital Theta على D Theta بتساوي + +448 +00:36:19,830 --> 00:36:20,170 +سفر + +449 +00:36:22,980 --> 00:36:30,000 +إذن أول هدف اتحقق حولت الـ partial ل ordinary صح + +450 +00:36:30,000 --> 00:36:35,440 +ولا لأ؟ لأنه بطل two variables فصلتهم تمام؟ الهدف + +451 +00:36:35,440 --> 00:36:38,660 +التاني كمل انت بتفصل جاعة variables على variables + +452 +00:36:38,660 --> 00:36:45,240 +ايش يعني بدك تفصل؟ حد يعتمد فقط على R وحد يعتمد + +453 +00:36:45,240 --> 00:36:52,870 +فقط على θهنا في فيتا ضيعه هنا في R ضيّحها كيبك + +454 +00:36:52,870 --> 00:36:56,770 +تسوي وجالها دي R تربيها؟ إذا بدك تدرب في R تربيها؟ + +455 +00:36:56,770 --> 00:37:00,670 +صح أو لأ؟ هنا في capital FETA بتكاشي إياها و هنا + +456 +00:37:00,670 --> 00:37:04,710 +في capital R بتكاشي إياها إذا انجسم على capital R + +457 +00:37:04,710 --> 00:37:09,610 +في capital FETA؟ هيك بدك تعمل انشوف إيش بيطلع عندي + +458 +00:37:09,610 --> 00:37:14,930 +ها دي ما حد بتروح؟وها دي ما حد بتروح بصي عندك واحد + +459 +00:37:14,930 --> 00:37:21,410 +ع كابتل R دي على دي R R تربيع دي capital R على دي + +460 +00:37:21,410 --> 00:37:30,710 +R زائد من جهان capital R مع capital R راحت وR + +461 +00:37:30,710 --> 00:37:35,770 +تربيع مع R تربيع راحتوكده الوقت بيصير 1 على + +462 +00:37:35,770 --> 00:37:41,410 +capital theta sin of theta D على D theta sin of + +463 +00:37:41,410 --> 00:37:49,430 +theta D capital theta على D theta بتساوى 0 تقنيك + +464 +00:37:49,430 --> 00:37:53,930 +سهل مش مطلوب منكم بس برضه تهمينه مش مطلوب مش + +465 +00:37:53,930 --> 00:37:58,910 +هتعملوه معايا هذا التقنيك مش هتعدوه فهمتوا عليها + +466 +00:37:58,910 --> 00:38:05,950 +مش مطلوب منكم الحللكن مطلوب منكم برجاء تفهموه رجاء + +467 +00:38:05,950 --> 00:38:08,710 +بمافيش عليه علامات يعني بس مجرد انكوا تكونوا + +468 +00:38:08,710 --> 00:38:11,490 +قاعدين و بتابعوا يعني اش اللي بسويه وانا بسويش + +469 +00:38:11,490 --> 00:38:17,830 +قاعد سحر بسوي شغلات كلكم بتعرفوها بضرب و بجسم تمام + +470 +00:38:17,830 --> 00:38:22,890 +اطلعوا ال term الأول بيعتمد على R فقط ولا لأ؟ + +471 +00:38:23,370 --> 00:38:28,790 +والتاني اذا انا عملت separation of variables خلصت + +472 +00:38:28,790 --> 00:38:34,570 +رياضيا هذا لا يتأتى قلنا the first term depends on + +473 +00:38:34,570 --> 00:38:40,390 +r the second term depends on θ only and r and θ + +474 +00:38:40,390 --> 00:38:43,890 +are different independent variablesهدول مانهمي + +475 +00:38:43,890 --> 00:38:47,610 +جعوة، بعض، بيجربوش لبعض، المفروض لما تغير R ثتا + +476 +00:38:47,610 --> 00:38:51,530 +مانهاش جعوة، و لما تغير ثتا، R مانهاش جعوة، لكن + +477 +00:38:51,530 --> 00:38:55,690 +هذه الكتابة بتقول إن هذا بيساوي سلب هذا، بمعنى آخر + +478 +00:38:55,690 --> 00:38:58,170 +لو هذا اتغير، المفروض هذا يتغير، و هذا .. في .. + +479 +00:38:58,170 --> 00:39:02,630 +إذا في تعارض، في تناقض، مابحلش التناقض إلا إذا هذا + +480 +00:39:02,630 --> 00:39:06,470 +الـTM ثابت و هذا الـTM ثابت، طبعا هذا الثابت و هذا + +481 +00:39:06,470 --> 00:39:10,750 +الثالب يتعلق بينهم إن هذا بيساوي سلب هذاتمام؟ إذن + +482 +00:39:10,750 --> 00:39:14,330 +هذا هو الـtechnique الرياضي اللي أنا بترجحكم + +483 +00:39:14,330 --> 00:39:17,510 +تفهموا شوية منه هاه .. تفهموا شوية منه لأن هو إذ + +484 +00:39:17,510 --> 00:39:22,050 +وثبتاته في الرياضيات هيجيكم لاحقا بس انا بدي أفهم + +485 +00:39:22,050 --> 00:39:25,190 +ال logic تبعه احنا مطلوب من أن نفهم logicه أن هذا + +486 +00:39:25,190 --> 00:39:28,370 +لا يتأتى إلا إذا كانت تنتهي ثابت إذن هذا بدي أسميه + +487 +00:39:28,370 --> 00:39:33,150 +ثابت وهذا بدي أسميه ثابتإيه ثابت؟ إيش دي رمز؟ + +488 +00:39:33,150 --> 00:39:37,630 +الاصل K أو K تربيع؟ مظبوط ولا لا؟ أو C أو C تربية؟ + +489 +00:39:37,630 --> 00:39:43,030 +ثابت لكن بعد ما حلوا قالوا هذا الثابت بدي أعتبره + +490 +00:39:43,030 --> 00:39:46,650 +شغل غريبة كيف بدك تعتبره هذا الثابت اللي هو + +491 +00:39:46,650 --> 00:39:49,590 +المفروض يكون K؟ اللي بدي أعتبره ال ال plus one + +492 +00:39:50,950 --> 00:39:55,030 +والله لو انه الواحد بيحلم مافكر انه يفكر فيه هيك + +493 +00:39:55,030 --> 00:39:59,110 +صح ولا لأ لكن هو مجهوش هيك هو في الآخر لما حلوا + +494 +00:39:59,110 --> 00:40:04,170 +وخلصوا قالوا هيك بتكون في الآخر لأ عشان يظبطوا + +495 +00:40:04,170 --> 00:40:06,910 +واحد بيقول اخطب هادي ايه الهادي بتشبه أيش برضه + +496 +00:40:06,910 --> 00:40:12,910 +إلكم أنتم أخدتوا في الثانوية ال N و ال L و ال M + +497 +00:40:12,910 --> 00:40:19,530 +شمها دول في الكيميااه سمعتوا فيهم؟ ما هو الكيميا + +498 +00:40:19,530 --> 00:40:22,890 +فيزيا برضه تدري بالك يعني هنا بتجرب الكيميا و + +499 +00:40:22,890 --> 00:40:30,170 +الفيزيا N و L و M هدول ال atomic numbers مظبوط ال + +500 +00:40:30,170 --> 00:40:32,330 +principle quantum number و ال angular quantum + +501 +00:40:32,330 --> 00:40:35,230 +number و ال magnetic quantum number و اللي بجربوا + +502 +00:40:35,230 --> 00:40:40,710 +لبعض بينهم علاقة ان ال L بتضلها ماشية ل L نقص واحد + +503 +00:40:40,710 --> 00:40:47,560 +و ال M من نقص L ل L اذا بينهم علاقة هذه L الحلوةهي + +504 +00:40:47,560 --> 00:40:51,640 +هذه الـ L تبعت الكيميا، عشان كده حطوها هيك، سمتوا + +505 +00:40:51,640 --> 00:40:53,740 +عليها؟ بس ماكنوش دعوة كيف حطوها، يعني عشان بس + +506 +00:40:53,740 --> 00:41:00,550 +يقولوا يسموها هيك، اش هالثابت الغريب، تمام؟ثابت + +507 +00:41:00,550 --> 00:41:04,110 +وما زال ثابت، ايش ما بدي أسمي؟ مسمح ليه أسمي؟ صح + +508 +00:41:04,110 --> 00:41:07,670 +ولا لا؟ تمام، بس أنا أمحي الخربش هذه عشان مكتوبة + +509 +00:41:07,670 --> 00:41:12,210 +في خط أحلى بس عشان أنا مختصرها زي ما حكينا أنا كنت + +510 +00:41:12,210 --> 00:41:18,010 +بحضر لطلبة مخدين وبالتالي التفصيل مضطر يله معاكم + +511 +00:41:20,830 --> 00:41:25,530 +أذا letting v بتسوي capital R في capital θ اشتغلت + +512 +00:41:25,530 --> 00:41:28,390 +فطلعت معايا هذه المعادلة اللي انا عملتها أنا وياكم + +513 +00:41:28,390 --> 00:41:31,910 +بتاوي قال لي اذا انا حققت اللي بدكيا صار + +514 +00:41:31,910 --> 00:41:35,470 +separation of variables term اعتمد فقط على R وterm + +515 +00:41:35,470 --> 00:41:39,850 +اعتمد فقط على E ثيتا since each term in equation + +516 +00:41:39,850 --> 00:41:43,890 +16 depends only on one variable اذا each term must + +517 +00:41:43,890 --> 00:41:47,610 +equal to constant وش ال constant هذا سمته L ال + +518 +00:41:47,610 --> 00:41:54,990 +plus one وهذا نقصهطبعا هلجيت هذه المعادلة الحلوة + +519 +00:41:54,990 --> 00:41:58,690 +كيف بدنا نحلها و هذه المعادلة الحلوة كيف بدنا + +520 +00:41:58,690 --> 00:42:05,110 +نحلها طبعا انتوا + +521 +00:42:05,110 --> 00:42:10,830 +تالتة انتوا أغلبكم سنة تالتةطبعا في .. زي ما انتوا + +522 +00:42:10,830 --> 00:42:14,570 +شايفين في الكم فيه رياضيات، في الكهربا فيه + +523 +00:42:14,570 --> 00:42:17,690 +رياضيات، في ال classical فيه رياضيات، في ال optics + +524 +00:42:17,690 --> 00:42:20,930 +فيه رياضيات، و اين ما تخش فيه رياضيات، و أغلبها + +525 +00:42:20,930 --> 00:42:24,730 +معادلة تفاضلية، تمام؟ و الفيزيائيين من زمان، من + +526 +00:42:24,730 --> 00:42:29,960 +سنة 1900، و هم بحلوا بواجهه معادلة رياضيةوفي الآخر + +527 +00:42:29,960 --> 00:42:32,360 +مين جنبهم؟ قسم الرياضيات دائما جنبهم أنا كنا في + +528 +00:42:32,360 --> 00:42:35,100 +جامعتنا دائما قسم الرياضيات جانب الـ 5 من الفيزيا + +529 +00:42:35,100 --> 00:42:37,240 +لما يوردوا تطعموا الفيزيا بروحوا تطعموا الرياضيات + +530 +00:42:37,240 --> 00:42:41,040 +هذه معادلة وجهتنا كيف كنت حلوها تمام؟ ففي عدة + +531 +00:42:41,040 --> 00:42:45,940 +معادلات انشهرت تتكرر مع الفيزيائيين حلوها علماء + +532 +00:42:45,940 --> 00:42:52,560 +الرياضيات وحد اسمه Legendre وحد اسمه Hermite وحد + +533 +00:42:52,560 --> 00:42:57,400 +اسمه Laguerre وحد اسمه Bessel وحد اسمه Chebchefهو + +534 +00:42:57,400 --> 00:43:01,040 +أكتار كل واحد قالوا له كل واحد تيجي معادلة قلوا + +535 +00:43:01,040 --> 00:43:03,800 +أنت هذه المعادلة حللنا إياها و جيبنا إياها جاهزة + +536 +00:43:03,800 --> 00:43:10,060 +تمام هذه المعادلة أعطوها لواحد اسمه Legendar حلها + +537 +00:43:10,060 --> 00:43:14,600 +و قال بعد كده يا فيزيائيين أول ما تشوفوا هذه + +538 +00:43:14,600 --> 00:43:19,960 +المعادلة روحوا على كتبوشوفوا لاجيندر ايش عمل بديكم + +539 +00:43:19,960 --> 00:43:25,360 +الحل بكل الصفات بيكون مخوض في التفاصيل هذه معادلة + +540 +00:43:25,360 --> 00:43:30,140 +قالوا هذه سهلة مش مش سهلة يا عالم لإن هذه في كتاب + +541 +00:43:30,140 --> 00:43:32,580 +ال differential equation اللي بتاخدوه في سنة تالتة + +542 +00:43:32,580 --> 00:43:36,840 +حلناها كيف هذه بتحل ندى أول شوية نشتغل على هذه + +543 +00:43:36,840 --> 00:43:41,600 +وبقى نستسمحكم شويةنحن نتوي هذه المرة أنه عندما + +544 +00:43:41,600 --> 00:43:48,180 +يكون عندنا معادلة AYW' plus BY' plus CY بالساعة و + +545 +00:43:48,180 --> 00:43:53,860 +سفر و أن الحالة تبقى R X ولا لأ؟ هك فرضه طيب كان + +546 +00:43:53,860 --> 00:43:56,420 +هذا exponential طب هو ال exponential على رأسه + +547 +00:43:56,420 --> 00:44:00,040 +الاشة؟ ليش ال exponential كل ال functions اللي + +548 +00:44:00,040 --> 00:44:04,980 +حواليه بغاروا؟ راحوا فكروا في أغلقة عامةتعوني + +549 +00:44:04,980 --> 00:44:09,320 +رياضيات كل ماشية انت بتحاول .. حولت في هذا الحل و + +550 +00:44:09,320 --> 00:44:12,920 +عوضت و طلعلي قيمة R و مرة طلعت sign و مرة + +551 +00:44:12,920 --> 00:44:16,780 +exponential طيب انت خدت في قلبه أصبع عشان ما + +552 +00:44:16,780 --> 00:44:22,040 +تقولليش لا Taylor expansion سمعت فيه ال Laurent و + +553 +00:44:22,040 --> 00:44:25,780 +ال Taylor انتوا + +554 +00:44:25,780 --> 00:44:31,000 +بيقولوا اه فما فلتوا منهم خدتوا ولا ما خدتوشما + +555 +00:44:31,000 --> 00:44:34,700 +خدتوش كيف يبقى الـSin X ايش بيساوي و الـE to power + +556 +00:44:34,700 --> 00:44:38,940 +X بيساوي X أُس N على N factorial ما خدتوهاش؟ + +557 +00:44:38,940 --> 00:44:44,100 +خدتوها قالوا إذا كل ال functions exponential ولا + +558 +00:44:44,100 --> 00:44:48,180 +Sin ولا X تربيع ما هي كلها series في النهاية كانت + +559 +00:44:48,180 --> 00:44:51,440 +كلها series ولا مش كلها series إذا قالوا الحل + +560 +00:44:51,440 --> 00:44:57,300 +الأصل كل حلول المعادلات التفاضلية حل عبارة عن Cn X + +561 +00:44:57,300 --> 00:44:58,680 +to power N plus Alpha + +562 +00:45:02,090 --> 00:45:05,450 +ماذا يعني؟ Alpha وCN هما اللي بتجيبهم، كي بغى + +563 +00:45:05,450 --> 00:45:08,710 +تجيبهم، عوض في المعادلة هال gate لو كانت + +564 +00:45:08,710 --> 00:45:12,550 +exponential بتطلع CN 1 على N factorial وبتطلع + +565 +00:45:12,550 --> 00:45:17,590 +Alpha سفر وخلصنا إذا كل ال functions اللي ممكنة في + +566 +00:45:17,590 --> 00:45:21,690 +هذا الحل بيجيبها عشان كده بيسموها series solution + +567 +00:45:21,690 --> 00:45:27,150 +الحل بواسطة ال series بواسطة ال series برضه زي ما + +568 +00:45:27,150 --> 00:45:30,250 +حكينا برضه هذا بدي إياكم تفهموا الحد الأدنى بالرجح + +569 +00:45:31,230 --> 00:45:34,550 +الحد الأدنى بالرجل أما الحل العام انا هدّيكم إياه + +570 +00:45:34,550 --> 00:45:38,490 +جاهز طبعا احنا المعاناة تبعتنا هتيجي واحدة واحدة + +571 +00:45:38,490 --> 00:45:43,250 +تمام هذه المعادلة كيف بدي أحلها هاجد هذه المعادلة + +572 +00:45:43,250 --> 00:45:48,010 +بتصير اضربوا في capital R وفكوا هادي مش هاد عبارة + +573 +00:45:48,010 --> 00:45:55,970 +عن R تربيعD capital R على D R تربيع زائد اتنين R D + +574 +00:45:55,970 --> 00:46:01,450 +capital R على D R ناقص L L plus one capital R + +575 +00:46:01,450 --> 00:46:06,030 +بتساوي سفر هذه المعادلة هي 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اللي بتاخدوه في سنة تالتة حلناها كيف هذه بتحل ندى أول شوية نشتغل على هذه وبقى نستسمحكم شوية", "tokens": [2407, 8592, 38688, 14407, 5296, 26108, 9957, 3215, 2288, 1975, 1829, 8592, 6225, 42213, 4724, 16254, 24793, 21542, 1211, 4724, 28820, 31767, 5172, 9307, 4724, 1829, 30544, 3714, 9778, 2407, 11242, 8978, 16712, 5172, 33546, 26895, 29538, 20449, 18513, 37977, 50239, 14407, 29538, 8608, 3224, 37977, 37893, 37893, 8608, 3224, 37977, 35186, 6225, 45340, 5296, 28814, 1863, 29538, 8978, 9122, 2655, 16758, 2423, 15756, 5367, 13672, 1829, 39894, 47283, 3215, 2407, 3224, 8978, 8608, 1863, 3660, 6055, 6027, 2655, 3660, 11331, 1211, 8315, 11296, 9122, 33911, 29538, 39894, 5016, 1211, 8717, 3215, 7578, 5551, 12610, 13412, 2407, 10632, 8717, 8592, 2655, 17082, 1211, 15844, 29538, 4032, 3555, 4587, 7578, 8717, 14851, 38251, 5016, 24793, 13412, 2407, 10632], "avg_logprob": -0.25503177738795846, "compression_ratio": 1.7096774193548387, "no_speech_prob": 0.0, "words": [{"start": 2597.58, "end": 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طبعا العنصر دائما بيكون عشوائي إذن we begin by identifying an element", "tokens": [39237, 10943, 4032, 413, 43, 31439, 23032, 12610, 18863, 1863, 9381, 2288, 11933, 8848, 1863, 497, 13412, 2288, 9566, 3660, 4032, 413, 43, 13412, 2288, 9566, 3660, 16712, 1863, 9957, 3714, 43500, 3555, 9566, 9957, 45030, 1863, 9381, 2288, 37037, 1829, 5551, 12610, 16490, 9566, 2407, 3660, 44945, 25957, 1211, 11296, 5296, 15042, 8717, 9566, 3555, 4587, 12174, 7649, 11536, 4724, 1829, 2407, 8608, 3555, 995, 4587, 14739, 3224, 5551, 24401, 3215, 18871, 9381, 2288, 23032, 3555, 3615, 995, 18863, 1863, 9381, 2288, 11778, 16373, 15042, 4724, 1829, 30544, 6225, 8592, 2407, 16373, 1829, 11933, 8848, 1863, 321, 1841, 538, 16696, 364, 4478], "avg_logprob": -0.16165865269991067, "compression_ratio": 1.5490196078431373, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 132.86, "end": 133.46, "word": "تمام", "probability": 0.639404296875}, {"start": 133.46, "end": 134.02, "word": " و", "probability": 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+ +9 +00:01:09,340 --> 00:01:16,140 +steady current I في عندي سبيلبمر بي تيار I مطلوب + +10 +00:01:16,140 --> 00:01:21,120 +إيجاد شدة المجال المغناطيسي عند النقطة P اللي تبعد + +11 +00:01:21,120 --> 00:01:30,300 +مسافة S على مسافة عمودية S على السليك تمام كيف + +12 +00:01:30,300 --> 00:01:35,080 +بدنا طبعا قانون بيو سفارد لازم يكون في عنا المهارة + +13 +00:01:35,080 --> 00:01:40,130 +نتعامل معه صح؟كيف نجيب كل أموره في تكامل حدود + +14 +00:01:40,130 --> 00:01:44,730 +تكامل وكيف نحددها وكل ما يتعلق بي فمن المواضيع + +15 +00:01:44,730 --> 00:01:48,470 +المهمة في هذا الشبتر هو كيف نطبق بيو سافالو الان + +16 +00:01:48,470 --> 00:01:53,290 +احنا بدنا نعمل عدة أمثلة عليه هي القانون بي سواء + +17 +00:01:53,290 --> 00:01:57,490 +ميو نوت اي على أربعة باي تكامل DL cross R على R + +18 +00:01:57,490 --> 00:02:03,810 +cubic وكنا بنعرف R script بتساوي R ناقص R prime + +19 +00:02:07,080 --> 00:02:12,140 +هو الإحداث تبع النقطة وR' هو الإحداث تبع الأنصر + +20 +00:02:12,860 --> 00:02:20,440 +تمام و DL هو طول العنصر إذن R شرطة و DL شرطة + +21 +00:02:20,440 --> 00:02:25,440 +التنين مرتبطين بعنصر وهي أول خطوة بنعملها لما نطبق + +22 +00:02:25,440 --> 00:02:30,980 +قانون بيو سباق أنه أحدد عنصر طبعا العنصر دائما + +23 +00:02:30,980 --> 00:02:36,120 +بيكون عشوائي إذن we begin by identifying an + +24 +00:02:36,120 --> 00:02:41,600 +elementan element هذي الـ length دي اللي بتعتبرها + +25 +00:02:41,600 --> 00:02:45,040 +DZ على تباركته بتعتبر هذا الـ Z-axis فقولتها أنصري + +26 +00:02:45,040 --> 00:02:53,740 +طوله DZ هذا الـ Z-axis ساعتها R شرطا عرفت R شرطا + +27 +00:02:53,740 --> 00:02:57,040 +عرفت طبعا أنا بدي أستخدم هجة أول بداية الـ + +28 +00:02:57,040 --> 00:02:59,360 +cylindrical coordinates يا بنادر cylindrical + +29 +00:02:59,360 --> 00:03:07,110 +coordinates بدي إحداث النقطة P اللي هي R يعنيإذا + +30 +00:03:07,110 --> 00:03:15,990 +الحاجة زي ما حكت دليلة R بتساوي S أسات صحيح؟ + +31 +00:03:15,990 --> 00:03:25,700 +تمام طيب، بدي R شرطة الـ Z باتجاه الـ Kإذا من هنا + +32 +00:03:25,700 --> 00:03:32,360 +R script بيستوي S أسات ناقص Z باتجاه ال K و هاد ال + +33 +00:03:32,360 --> 00:03:38,700 +cubic بيستوي S تربيع زي Z تربيع يا زي التلاتة عدنى + +34 +00:03:38,700 --> 00:03:49,440 +مظبوطيك ولا لا؟ عيدي + +35 +00:03:49,440 --> 00:03:53,660 +كمان مرة أصلها أين؟ أصل إيش؟ احنا لما نجي نحكي ال + +36 +00:03:53,660 --> 00:04:04,790 +RPRRF زائد الـZ مظبوط in general صحيح صحيح انا + +37 +00:04:04,790 --> 00:04:08,590 +حاطه هنا ال zero تبعي صحيح اه لان انا معتبر هاي ال + +38 +00:04:08,590 --> 00:04:12,450 +zero تبعي وبالتالي + +39 +00:04:12,450 --> 00:04:14,470 +مالهاي ال Z-component النقطة اللي انا ماخدها كلام + +40 +00:04:14,470 --> 00:04:21,830 +تقليدي صحيح باجي الآن هنا هذه DZ هذه عرفتها وهذه + +41 +00:04:21,830 --> 00:04:27,390 +عرفتهافلمّا عملتها كل + +42 +00:04:27,390 --> 00:04:35,970 +هذا عملته إجت دي ال .. دي ز بتجاه ال K cross اللي + +43 +00:04:35,970 --> 00:04:40,310 +هي ال A عبارة عن S أسها تنقل زكي و هذي ال cubic + +44 +00:04:40,310 --> 00:04:44,090 +عادة بنكتبها بتعمل cross product بين هذي و هذي و + +45 +00:04:44,090 --> 00:04:49,210 +هذي و هذي أول K cross ال K جديش؟ Zero تبوا K cross + +46 +00:04:49,210 --> 00:04:53,860 +ال Sطب أول عملها و بعدين نحولها كارتيزيا؟ ممكن + +47 +00:04:53,860 --> 00:04:58,740 +نعملها كارتيزيا لكن انا ممكن اقول هي A cross P مش + +48 +00:04:58,740 --> 00:05:03,140 +بتجيب ال .. ال vector و العمود على التنين؟ طيب هذه + +49 +00:05:03,140 --> 00:05:08,280 +K و هذه S ايش العمود على ال Z و ال A؟ ال Phi هي + +50 +00:05:08,280 --> 00:05:14,080 +على ال Phi صح؟ اذا انجلي صارت هذه روحت دي Z cross + +51 +00:05:14,080 --> 00:05:18,760 +ال S فطلعت ال S برا على اعتبار انه ماعليش دعواء + +52 +00:05:18,760 --> 00:05:25,480 +بهذه النقطة فده Phiالآن الأصل لما قبل ما أكامل زي + +53 +00:05:25,480 --> 00:05:29,320 +ما حكت وي أم هدول هادي أحولها كارتيز ال + +54 +00:05:29,320 --> 00:05:33,300 +coordinates لما مافعش أضلها جوا التكامل صح ولا لأ؟ + +55 +00:05:33,300 --> 00:05:38,640 +طب لو أزيت اتذكرت انا الشيال فاي الفاي عبارة عن + +56 +00:05:38,640 --> 00:05:44,360 +خلّيني أقول سالب صين الفاي باتجاه ال I ذات كوصين + +57 +00:05:44,360 --> 00:05:48,200 +الفاي باتجاه ال G مظبوطك ولا لأ؟ + +58 +00:05:51,880 --> 00:05:57,260 +طيب، أنا عايش بكامل، على الـ DZ هل هي الـ Phi اللي + +59 +00:05:57,260 --> 00:06:03,820 +دعوة بالـ DZ، إذاً هي ثابتة، بتطلعها زي ما هي Phi، + +60 +00:06:03,820 --> 00:06:06,260 +ممكن تطلعها Sin Phi, Cos Phi أو أي شيء، لكن + +61 +00:06:06,260 --> 00:06:11,800 +بتطلعها زي ما هي، تمام هيك؟ تمام، فصار عشان هي + +62 +00:06:11,800 --> 00:06:17,710 +ثابتة، قولت بـ Phi، كلها طلعتهاما زال عندك؟ دي Z + +63 +00:06:17,710 --> 00:06:22,390 +زي Z تربيع زي S تربيع جزر التلاتة عتنين جزر + +64 +00:06:22,390 --> 00:06:27,450 +التلاتة عتنين تكامل طيب، كيف حصل التكامل؟ انت بدأت + +65 +00:06:27,450 --> 00:06:31,850 +من هنا تكمل هان لهان، هذه سالب وهذه موجبة إذا + +66 +00:06:31,850 --> 00:06:36,050 +أخدتها في النص ويعتبر هذا كله L، يجب أن تقول من + +67 +00:06:36,050 --> 00:06:40,270 +سلب L عتنين لL عتنين صح ولا لأ؟ in general، جلي + +68 +00:06:40,270 --> 00:06:43,990 +خلينا نقول من سلب L واحد، خلي هذه L واحد وهذه L + +69 +00:06:43,990 --> 00:06:48,060 +اتنينأذا من سلب الواحد لقل الاتنين يعني ممكن انا + +70 +00:06:48,060 --> 00:06:52,400 +احنا اجيبها عند نقطة مش بالضرورة عند المتصف لأ + +71 +00:06:52,400 --> 00:06:56,820 +عشوائية طب ع كاملة كاملة التكامل بقول الحمد لله + +72 +00:06:56,820 --> 00:07:03,620 +بدونية طبعا هذا سهل بتقولوا ال Z بتساوي أس تاني + +73 +00:07:03,620 --> 00:07:08,870 +الزاوية عظميعشان تعملوا تظبطوا بيطلع عنكم سك تربيع + +74 +00:07:08,870 --> 00:07:12,870 +بعدين بيصير سك تكعيب والسك تكعيب بيقدروا تكملوها + +75 +00:07:12,870 --> 00:07:18,750 +مش مشكلة فهذا تكامله سهل نقدر نجيب التكامل طلعناه + +76 +00:07:18,750 --> 00:07:22,050 +using هذا التكامل اللي بديكم إياه هذا بنجيبه + +77 +00:07:22,050 --> 00:07:25,130 +ونشحتكم إياه من التكامل من ال table of integration + +78 +00:07:25,130 --> 00:07:30,550 +تمام؟ قال لي اشتغل عليه؟ طبعا أول خلينا نشوف مين + +79 +00:07:30,550 --> 00:07:33,530 +قول اتجاه المجال المناطسي كيف؟ قبل ما أجيب من هال + +80 +00:07:33,530 --> 00:07:33,530 +.. + +81 +00:07:39,670 --> 00:07:44,070 +عند النقطة اللي فوق نقطة + +82 +00:07:44,070 --> 00:07:51,950 +.. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +83 +00:07:51,950 --> 00:07:52,150 +نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +84 +00:07:52,150 --> 00:07:52,290 +نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +85 +00:07:52,290 --> 00:07:55,810 +نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +86 +00:07:55,810 --> 00:08:00,470 +نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +87 +00:08:00,470 --> 00:08:03,110 +نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +88 +00:08:03,110 --> 00:08:04,710 +نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +89 +00:08:04,710 --> 00:08:04,710 +نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. نقطة .. + +90 +00:08:04,710 --> 00:08:07,900 +نقطة .. نقطة .. نقطة .. نقطة .. نقطةفاي مش هيك فاي + +91 +00:08:07,900 --> 00:08:14,260 +فاي هي أصلاً فاي لأن فاي بتلف معاكم زي ما انت + +92 +00:08:14,260 --> 00:08:20,720 +حكيتي انه نقطة out أو in حسب موقع النقطة تمام لما + +93 +00:08:20,720 --> 00:08:25,940 +كملت التكامل طلعته هي النتيجة هي النتيجة + +94 +00:08:29,760 --> 00:08:35,620 +طبعاً هذا مثال وهي نتيجته خلصته لكن في حالة خاصة + +95 +00:08:35,620 --> 00:08:42,300 +لو L1 و L2 هدول infinity سارسلك طويل احنا لما نقول + +96 +00:08:42,300 --> 00:08:48,760 +جزء من ملا نهاية أخدت limit يا هودا؟ تعرف تجيب + +97 +00:08:48,760 --> 00:08:53,260 +limit؟ طب يلا حطيلي L1 و L2 ملا نهاية واحدة واحدة + +98 +00:08:53,260 --> 00:08:58,820 +او اول هذا حطي L2 ملا نهاية ايش بتطلع عندى؟ + +99 +00:09:02,120 --> 00:09:05,720 +مش بيشوف فوق الشيء والله ما لا نهاية عامة لا نهاية + +100 +00:09:05,720 --> 00:09:09,440 +صح؟ ولمّا تكون ما لا نهاية عامة لا نهاية كده، كيف + +101 +00:09:09,440 --> 00:09:13,280 +تبصّمون إياها؟ بتجسم على أكبر واسم، ليش أكبر واسم + +102 +00:09:13,280 --> 00:09:20,540 +جمالها؟ واحد، طب جسمي على الاتنين إتصال باست واحد، + +103 +00:09:20,540 --> 00:09:28,380 +وهادي واحد، وهادي على الاتنين، إذا هادي روحتشغل + +104 +00:09:28,380 --> 00:09:33,060 +عامة نهاية سفر فصارت واحد على واحد طب و هي دي زيها + +105 +00:09:33,060 --> 00:09:37,980 +ولا لا؟ واحد زي واحد اتنين اتنين و هنا فيه أربعة + +106 +00:09:37,980 --> 00:09:43,740 +بيصير في المقاماش اتنين اذا if the wire is + +107 +00:09:43,740 --> 00:09:49,740 +infinite بيصير عندكم mu not I على اتنين by S + +108 +00:09:56,180 --> 00:10:02,000 +هذه نتيجة السلك الطويل طبعا انا اتفاجأت انه في + +109 +00:10:02,000 --> 00:10:07,100 +توجيهي بدوهم مياها بس بحافظهم مياها تحفيز يعني + +110 +00:10:07,100 --> 00:10:12,760 +بيقولولهم انه صعب نستقلكم مياها هيك كاتبين بالظبط + +111 +00:10:12,760 --> 00:10:16,680 +ان هذه بدها معاملة رياضية طويلةوبالتالي خدوا هاي + +112 +00:10:16,680 --> 00:10:19,200 +النتيجة طبعا احنا هذه النتيجة اصلا مش طالبين + +113 +00:10:19,200 --> 00:10:23,440 +طلابنا يحفظوها اصلا مش المفروض يحفظوها لكن من + +114 +00:10:23,440 --> 00:10:25,720 +دينيا كان المفروض انهم مايدهوش يوم من قبل اصلا + +115 +00:10:25,720 --> 00:10:33,320 +وخلصنا وانحلنا وين؟ + +116 +00:10:33,320 --> 00:10:38,980 +بتحولها طب انا أبويا في الآخر .. كده كده كده اعرف + +117 +00:10:38,980 --> 00:10:45,350 +انها سابتة وانا مش سابتة كيف عرفت انها سابتة؟يعني + +118 +00:10:45,350 --> 00:10:50,590 +كتبتيها أولا مدالة الـ IOJ لجيتيها هي ثابتة مظبوط + +119 +00:10:50,590 --> 00:10:57,080 +لأ لكن لو أنا بكملش على ال DZ بتكون ثابتةعشان كده + +120 +00:10:57,080 --> 00:10:59,800 +احنا عندنا المعلومة اللي .. اللي .. اللي راسها جوا + +121 +00:10:59,800 --> 00:11:02,660 +و اللي حكتها وقام انه طلق .. حوّل file الـ + +122 +00:11:02,660 --> 00:11:05,960 +Cartesian Coordinates لأن كل ال unit vectors + +123 +00:11:05,960 --> 00:11:10,700 +متغيرات إلى الـI والـJ والـK صح؟ وبالتالي الصح انك + +124 +00:11:10,700 --> 00:11:14,640 +تحول لـCartesian by chance في حالتك عشان بكامل عدي + +125 +00:11:14,640 --> 00:11:18,720 +زيد قولي ثابت اطلعها بس اول كتبت بعدين اتكدت ان + +126 +00:11:18,720 --> 00:11:25,020 +انا ثابت احكي يا جماعة ولا انتي؟ حلو؟ + +127 +00:11:25,830 --> 00:11:31,270 +أنت اللي بتسأل .. بمش يسألون .. هاي ايه؟ طب حلو .. + +128 +00:11:31,270 --> 00:11:33,930 +و الله أنا .. و الله مانا زعلان A بتساوي خمسة I + +129 +00:11:33,930 --> 00:11:42,330 +صح؟ طيب A X بتساوي خمسة وين ال I راحت جمالها؟ احكي + +130 +00:11:42,330 --> 00:11:49,590 +.. و أنا هناش ماخد هذي B و لا B فاي؟ زي ما عملت + +131 +00:11:49,590 --> 00:11:54,470 +هنا تمام هيك؟ أي شغل تاني؟ + +132 +00:11:58,700 --> 00:12:08,560 +زينب، تمام؟ طلعناها وهذه مثال طيب، وقولّي برضه في + +133 +00:12:08,560 --> 00:12:14,340 +موضوع لو كان عندك سلكين، هذا هما هذا بيمر في تيار + +134 +00:12:14,340 --> 00:12:17,840 +وهذا بيمر في تيار، إيش بتلاقي؟ بتلاقي ان هذول اما + +135 +00:12:17,840 --> 00:12:22,960 +بتجذبوا او بتنافروا صح ولا لأ؟زي شحنتين كنا نقول + +136 +00:12:22,960 --> 00:12:25,760 +لما كان في عنده شحنتين في قوة بينهم ولا لا؟ لا + +137 +00:12:25,760 --> 00:12:30,220 +تنافورية؟ لا تجاذبية؟ من وين جت القوة؟ بقول ما هو + +138 +00:12:30,220 --> 00:12:33,420 +واحد ولد مجاله والتاني اتأثر بمجاله وهذه نفس + +139 +00:12:33,420 --> 00:12:37,440 +العملية هجت هذا ولد مجاله ولا ولا مالداش؟ ولد + +140 +00:12:37,440 --> 00:12:40,480 +مجاله حسب قانون بياصر وارتلوه طب هذا الان موجود في + +141 +00:12:40,480 --> 00:12:45,740 +مجال سارة إذن القانون تبع F بتساوي I L cross ال B + +142 +00:12:45,740 --> 00:12:50,420 +ينطبق لو هذه أثر اتنين هذه ال B تبعت مين بتكون؟ + +143 +00:12:50,860 --> 00:12:55,740 +تبعت واحد، مظبوط ولا لا؟ طيب، هدف سلك طوين، هاي P + +144 +00:12:55,740 --> 00:12:59,980 +تبعته كيف + +145 +00:12:59,980 --> 00:13:03,200 +نجيب ال force؟ to find the force between two + +146 +00:13:03,200 --> 00:13:07,040 +parallel wires we have for the force on wire 1 + +147 +00:13:07,040 --> 00:13:12,160 +جالي بيدي ال force on wire 1، بقوله F1 minus 2, + +148 +00:13:12,280 --> 00:13:16,800 +gamma 2 سوى I1 الواحد cross من مين جت ال P؟ من + +149 +00:13:16,800 --> 00:13:22,170 +التاني هجد هادي P2، مش هادي؟لأن الحجز يصيبك طويل؟ + +150 +00:13:22,170 --> 00:13:28,870 +طيب اتجاهها الآن زي ما حكت تويق زينب عند النقطة .. + +151 +00:13:28,870 --> 00:13:33,070 +اطلع على آية 2 يا زينب كيف اتجاه المجال هنا عند + +152 +00:13:33,070 --> 00:13:39,710 +النقطة هذه؟ أصبعك لمّا يطلع فوق، وين بيكون؟ dot + +153 +00:13:39,710 --> 00:13:45,330 +out يعني اعملي + +154 +00:13:45,330 --> 00:13:50,740 +بها مكينتيأو مثل انت مهبك ممكن تكون مع الطيارة هي + +155 +00:13:50,740 --> 00:13:55,440 +طيارك عمللي معاه تمام بيظلك لاف لما أصابعك الأربعة + +156 +00:13:55,440 --> 00:14:08,500 +يصلوا لنجوتك و كيف بيكون؟ تمام عيد كمان مرة صح؟ + +157 +00:14:08,500 --> 00:14:12,380 +حاجات هي أصابع هيك بعملهم في أيش في يعني؟ بدي لف + +158 +00:14:12,380 --> 00:14:18,560 +معايا دائرة ممثات يعني عند النقطة هذهمماس طيب مماس + +159 +00:14:18,560 --> 00:14:22,760 +هو عمودي على نص القطر و لا لأ هي نص القطر هي + +160 +00:14:22,760 --> 00:14:29,700 +النقطة هنا هي نص القطر هي عمودي عليها اذا out لو + +161 +00:14:29,700 --> 00:14:34,900 +كانت النقطة هنا لو كانت النقطة هنا و هكذا بلف + +162 +00:14:34,900 --> 00:14:36,460 +تمام؟ + +163 +00:14:45,900 --> 00:14:51,000 +بيقول لي بط بيتو ميو نوت اي على اتنين بايدي او ايه + +164 +00:14:51,000 --> 00:14:55,100 +باتجاه ال K لانها out dot out of the page K + +165 +00:14:55,100 --> 00:15:00,040 +والواحد كله معروف الآن if the magnetic field due + +166 +00:15:00,040 --> 00:15:05,360 +to I2 at the position of I1 اذا F12 بتساوي ميو نوت + +167 +00:15:05,360 --> 00:15:13,220 +I1 I2 اتنين بايدي هادي باتجاه الجيهو هادي باتجاه + +168 +00:15:13,220 --> 00:15:17,740 +الـK طلعت باتجاه الـI إذا نفسنا شايفين كيف الـC + +169 +00:15:17,740 --> 00:15:23,560 +جرب على أخو ولا بعد عن أخو حسب اللغة اللي هنا واحد + +170 +00:15:23,560 --> 00:15:27,580 +جرب على اتنين ولا بعد جرب يعني قوة تنافر ولا تجاذب + +171 +00:15:27,580 --> 00:15:33,800 +يا هدا تجاذب وكتير مش بتسميه تنافر لو عكسته لأنك + +172 +00:15:33,800 --> 00:15:41,910 +لو عكست هذا بتصير هادي سالب Gصح؟ طب لو عكستها ده، + +173 +00:15:41,910 --> 00:15:45,570 +sorry لو عكستها ده، بصيت سالب جيه؟ طب لو عكستها + +174 +00:15:45,570 --> 00:15:48,950 +ده، كيف المجال بيكون؟ اه هو يا عم حاجة تبدي هذا + +175 +00:15:48,950 --> 00:15:55,610 +المجال هيك صار، تبدي .. تشديت المجال هيك بصير + +176 +00:15:55,610 --> 00:15:59,730 +cross، بصيت سالب كيه؟ إذا نعكس واحد، بنعكس عندك + +177 +00:15:59,730 --> 00:16:04,630 +القوة، بصير تنافرية تمام يا بنات؟ أيه الصفصار؟ + +178 +00:16:10,100 --> 00:16:15,760 +مش ايه؟ هرجيت لو هذا انعكس و هذا ده زي ما هو انت + +179 +00:16:15,760 --> 00:16:19,040 +هنا عايش على وطن الواحد ايش الواحد يعني؟ من وين + +180 +00:16:19,040 --> 00:16:23,540 +بدي باتجاه الواحد أنا جمالها؟ اتجاه التيار طب لو + +181 +00:16:23,540 --> 00:16:28,260 +هذا انعكس بدي تدله ج ولا سالب ج؟ سالب ج نرجع لسؤال + +182 +00:16:28,260 --> 00:16:34,840 +زينب احكي هدا كنت بكتسع ليش؟ هذا + +183 +00:16:39,080 --> 00:16:48,940 +بدي اتجاه المجال هنا براو عليك انت + +184 +00:16:48,940 --> 00:16:56,880 +تعمليش زي ولد جوحا هاي ودنك صح؟ + +185 +00:16:56,880 --> 00:17:01,160 +مش + +186 +00:17:01,160 --> 00:17:04,380 +هذه اتجاه التيار؟ هي هي ابهامي بدك بده ما كان هيك + +187 +00:17:04,380 --> 00:17:12,090 +صار هيك طيب انا وين نقطتي؟كيف خبطت؟ into ولا out؟ + +188 +00:17:12,090 --> 00:17:15,110 +خبطت + +189 +00:17:15,110 --> 00:17:18,290 +لأ + +190 +00:17:18,290 --> 00:17:23,550 +ما هي هي زي ما هي النقطة نقطة زي ما هي تمام؟ فهي + +191 +00:17:23,550 --> 00:17:31,910 +هي لفت عشان ان انا بالنظر كتر جيه لإن انا خدت + +192 +00:17:31,910 --> 00:17:34,470 +السرعة جيه ال F + +193 +00:17:42,400 --> 00:17:53,300 +جيم انتجر كيك صح أي استفسار يا بنات ده ليلة تمام + +194 +00:17:53,300 --> 00:18:02,780 +مهلي + +195 +00:18:02,780 --> 00:18:04,940 +شوية بس ساخنة بنجي عليك نصينا نسألك + +196 +00:18:12,050 --> 00:18:16,650 +هذا سهل الـ force is attractive if the currents + +197 +00:18:16,650 --> 00:18:20,410 +are in the same direction زي حالتي and repulsive + +198 +00:18:20,410 --> 00:18:24,410 +if the currents are in opposite directions الكلام + +199 +00:18:24,410 --> 00:18:30,810 +اللي هو كده، طيب؟ شوفوا كمان مثال بيوسفالو بيقول + +200 +00:18:30,810 --> 00:18:35,150 +أوجد شدة المجال المغناطيسي لسلك بس على شكل دائرة + +201 +00:18:35,870 --> 00:18:39,550 +لسينيكا شكل دائرة find the magnetic field a + +202 +00:18:39,550 --> 00:18:43,550 +distance z from the center of a circular loop نص + +203 +00:18:43,550 --> 00:18:47,450 +خطرها كابتن R which carries a steady current I + +204 +00:18:47,450 --> 00:18:54,870 +منيحك؟ طيب، هاي القانون؟ ميو نوت اي على أربعة باي + +205 +00:18:54,870 --> 00:19:01,790 +دي الشرطة cross R script R script الشيهR نقص R + +206 +00:19:01,790 --> 00:19:06,490 +شرطة، مظبوط ولا لأ؟ لا R شرطة ولا DL، بعرفها إلا + +207 +00:19:06,490 --> 00:19:14,050 +لما أختاره عنصري كيف بدي أختار عنصر؟ صوت عالي جوس + +208 +00:19:14,050 --> 00:19:19,830 +اللي هو اللي مختاره هايو، جوس cylindrical + +209 +00:19:19,830 --> 00:19:24,670 +coordinates بدي أول حاجة DL في الـ cylindrical + +210 +00:19:24,670 --> 00:19:27,530 +coordinates DL + +211 +00:19:33,570 --> 00:19:39,190 +زينر بدي DL تحكي + +212 +00:19:39,190 --> 00:19:48,910 +نور صح يعني انا + +213 +00:19:48,910 --> 00:19:54,550 +ارجعكم لشبط روحه شافين شبط روحه تتغلب لكتير DL + +214 +00:19:54,550 --> 00:19:57,870 +بالـ Syndical Coordinates قالوا DSS hat + +215 +00:20:01,010 --> 00:20:04,670 +زائد دي زد زدها تمشيك زمان كنت ممكن أنكبها و + +216 +00:20:04,670 --> 00:20:12,450 +الحاجة عليها قلتلكم و ماتحفظوهاش تمام حلو هل جيت و + +217 +00:20:12,450 --> 00:20:19,150 +أنا ماشي هيك الزت بتتغير اه الله سهل عليك فيش دي + +218 +00:20:19,150 --> 00:20:24,570 +زد يعنى مظبوط طيب قولكم أنا بجرب على ال center و + +219 +00:20:24,570 --> 00:20:28,670 +لا بدعي على ال center و أنا لا ففر اذا روحت ايه ده + +220 +00:20:29,760 --> 00:20:35,080 +الـ D Phi اللي هي capital R طبعا اذا DL هي capital + +221 +00:20:35,080 --> 00:20:40,260 +R D Phi هذا الشغل المجرد المتقدم في الآخر ايش طول + +222 +00:20:40,260 --> 00:20:44,420 +الجوز هو؟ ايش طول الجوز؟ خلاص ما .. اللي هي R في D + +223 +00:20:44,420 --> 00:20:52,140 +Phi مظبوط هذا بالبلدي R في D Phi حلو؟ بدي أعرأ + +224 +00:20:52,140 --> 00:20:58,220 +أعرأ إحداث إيش ده؟ إحداث النقطة + +225 +00:21:01,070 --> 00:21:09,210 +الـ Z باتجاه الـ K هجت يا نسمة بدي R شرطة + +226 +00:21:09,210 --> 00:21:18,010 +أي R فيهم يعني هاي R قالوا Z باتجاه الـ K وR شرطة + +227 +00:21:18,010 --> 00:21:25,350 +باتجاه الروهات أو الاسات فظبطحك + +228 +00:21:25,350 --> 00:21:33,730 +ولا لأ؟ إذا من هنابقول R script بتساوي ZK نقص R + +229 +00:21:33,730 --> 00:21:45,150 +أسهل صح؟ و D الشرطة بتساوي capital R دي في اتجاهها + +230 +00:21:45,150 --> 00:21:56,270 +ايه؟ فيها طبعا بدي اتجاهها بدي اعمل كسر بضاقتها ها + +231 +00:21:56,270 --> 00:22:08,830 +دي جيبتهاوهذه جيبتها حط فيها التكامل، حط هنا طلع + +232 +00:22:08,830 --> 00:22:12,370 +يا نور إيش عمليت أنا؟ شايفة الـ Phi hat هذه؟ إيه + +233 +00:22:12,370 --> 00:22:17,030 +سويت فيها؟ حولناها، لأنه عايش بتكامل هالجيادة، طلع + +234 +00:22:17,030 --> 00:22:20,630 +إيش تكاملها؟ دي Phi، هال Phi ثابتة؟ يعني حولناها، + +235 +00:22:20,630 --> 00:22:25,850 +فالأصل أنه نحولها دائما، و بعدين نتعامل معاهاطيب، + +236 +00:22:25,850 --> 00:22:29,450 +دي إيه اللي جهزها؟ قاللي، هاي الـR زد باتجاه الـK + +237 +00:22:29,450 --> 00:22:33,210 +بنات أي واحد عندها مشكلة في هدول، تحكي حكاية الـR + +238 +00:22:33,210 --> 00:22:36,830 +hat والـR والـDL، أه؟ لأنه كتير، شوف كم مرة + +239 +00:22:36,830 --> 00:22:41,650 +بكررهم، أنا صادم الـChapter 2 وانا بكرر فيهم تمام، + +240 +00:22:41,650 --> 00:22:45,970 +وهي R شرطة، طلعي، R شرطة بيساوي capital R أسهات، + +241 +00:22:45,970 --> 00:22:49,730 +عرفتوا إيش عملت في الأسهات؟ حولتها، مظبوطيك ولا + +242 +00:22:49,730 --> 00:22:55,300 +..؟ قاللي، الآن صرت جاهز انتR script R نقص R هات + +243 +00:22:55,300 --> 00:23:02,100 +طلعتلك إياها في القانون مافيه؟ في cross product دي + +244 +00:23:02,100 --> 00:23:08,500 +بخلص منه D L cross R هاي هادو I J K بالنسبة لل D L + +245 +00:23:08,500 --> 00:23:11,660 +هدا هي ال D L في عندك I component و J component في + +246 +00:23:11,660 --> 00:23:16,900 +ال Z component هادي في عندك كلهم موجودين أعملوا + +247 +00:23:16,900 --> 00:23:18,820 +cross product في حد ما مايعرفش أعمل cross product + +248 +00:23:18,820 --> 00:23:23,480 +و لا واحد فيكم يعرفش كلكم بتعرفوها طلعت هيكhigh + +249 +00:23:23,480 --> 00:23:31,220 +across the world تمام ولا تعرفيش؟ الحمد لله تمام + +250 +00:23:31,220 --> 00:23:34,280 +هؤلاء + +251 +00:23:34,280 --> 00:23:43,620 +التكامل من فيها عندها ذكية تجاوية في كوب؟ هذه + +252 +00:23:43,620 --> 00:23:49,260 +السؤال حلته في زيبانتذكرين كيف الحل؟ كان مثال في + +253 +00:23:49,260 --> 00:23:54,380 +الديزيا بقى بعضهم ولا + +254 +00:23:54,380 --> 00:24:01,760 +واحد هيتجمع كيف حلته؟ لما أنا زمان أخدته قولت خدك + +255 +00:24:01,760 --> 00:24:07,960 +عنصر زي هذا هذا العنصر لما بدأ أدي أخده بقول هذا + +256 +00:24:07,960 --> 00:24:14,100 +باتجاهه بيكون هيك عن طريق التماثل وهذا العنصر + +257 +00:24:14,100 --> 00:24:18,700 +المماثل بيكون اتجاهه هيكشوفوا الطيار ماشي هيك؟ صح؟ + +258 +00:24:18,700 --> 00:24:23,660 +لما تيجي تجيب انت تقول هذه عبارة عن DL كيف بيجيب + +259 +00:24:23,660 --> 00:24:30,820 +اتجاه المجال عند النقطة لو السلك هذا طوله into كيف + +260 +00:24:30,820 --> 00:24:37,180 +بيكون اتجاه المجال؟ وقام ولا زينا بيجي ويقول ليه؟ + +261 +00:24:37,180 --> 00:24:39,880 +انت شاطرة في جابة المجال، تقولي كده كنت ظابطة، + +262 +00:24:39,880 --> 00:24:44,870 +جيبيها الـGain يلا يا وقام عشان تصحيحي لهاهو + +263 +00:24:44,870 --> 00:24:50,950 +النقطة بيه يا داليلة طب + +264 +00:24:50,950 --> 00:24:56,390 +هو كيف ميلة؟ طب و ليش ميلة؟ + +265 +00:24:56,390 --> 00:25:08,890 +طيب أقولكم يعني جذبها هيك شوف + +266 +00:25:08,890 --> 00:25:12,770 +انت مش بتعمل هيك و بتشوف لازم يكون عمودي عنصر قطر + +267 +00:25:12,770 --> 00:25:21,450 +عشان تصير مماسوالنص القطريه صح؟ طيب لو هذه كي بدها + +268 +00:25:21,450 --> 00:25:28,750 +الكون؟ هذه هيك صح + +269 +00:25:28,750 --> 00:25:34,030 +المركبات الصينية روحت، دلت المركبات الصعبية، + +270 +00:25:34,030 --> 00:25:39,190 +كملناها، ايش دلت اقولنا؟ مركبات؟يعني المراكبات + +271 +00:25:39,190 --> 00:25:43,490 +الصينية ضلت؟ لأ و بعدين كملناها و اشتغلنا شغل بسيط + +272 +00:25:43,490 --> 00:25:48,570 +طبعا السنة الأولى هديك سنة أولى خلص سنة أولى تمام؟ + +273 +00:25:48,570 --> 00:25:53,430 +نيجي نطلع المراكبات الصينية روحت ايش ضال بس + +274 +00:25:53,430 --> 00:26:01,090 +الصادية اطلعوا هاي الصينية كملولي هادي كوصاني + +275 +00:26:01,090 --> 00:26:09,430 +الفاي دي فاي من صفر لاتنين باي يالا كمليزيرو طب + +276 +00:26:09,430 --> 00:26:16,070 +هادي برضه اصدر بظل ال Z component زمان كنا نضحك + +277 +00:26:16,070 --> 00:26:19,030 +عنكم يقولون سيمتري و مش سيمتري و تصدقونها مظبوط او + +278 +00:26:19,030 --> 00:26:22,490 +لأ؟ و راح السيدون و راح الصلاة هيو راح بغصب العنكم + +279 +00:26:22,490 --> 00:26:25,790 +هيو راح من ديوم مجبور في السيمتري اللي كان يلخمكم + +280 +00:26:25,790 --> 00:26:30,460 +ها انا كملت الرياضية طلعتها زيروالرياضية طلعتها + +281 +00:26:30,460 --> 00:26:35,300 +zero صح ولا لا؟ إذا هذي zero، هذي zero، إيش ضال؟ + +282 +00:26:35,300 --> 00:26:40,380 +اتطلعوا إيش ضال، عادة في Phi هنا، هذي ثابتة و هذي + +283 +00:26:40,380 --> 00:26:47,420 +ثابتة، إيش تكمل دي Phi؟ من 0 إلى 2π؟ بدها تكمل تبع + +284 +00:26:47,420 --> 00:26:50,860 +Calculus باه؟ و لا تكمل تبع أولى ثانوي، إذا فيه؟ + +285 +00:26:50,860 --> 00:26:54,980 +طبعا مافيش تكمل في ولا ثانوي، تمام؟ خلاص السؤال، + +286 +00:26:54,980 --> 00:27:01,690 +إذا بعد ما عمل و يشتغل الصحجالي بي إكس و بي وي + +287 +00:27:01,690 --> 00:27:06,830 +بيتساوي سفر في حلو حتقولي بكرا ليش عملت سفر؟ أه + +288 +00:27:06,830 --> 00:27:11,830 +كتبين ليش سفر؟ حطيته الملاحظة ده وعرفته؟ سفر لإنه + +289 +00:27:11,830 --> 00:27:16,090 +خلاص الـcos θ وcos ف وcos ف تكملهم سفر وعملتهم + +290 +00:27:16,090 --> 00:27:24,090 +مرات كتير يعني جالي دلش اضايق اضايق صح صح يا غدير + +291 +00:27:24,090 --> 00:27:26,610 +أكيد طيب + +292 +00:27:30,440 --> 00:27:33,420 +لو النقطة في الـ Center يهو ده، ايش بيصير الـ Z + +293 +00:27:33,420 --> 00:27:39,080 +عندك؟ الـ Z سفر، طب لو قال كمهاش، ماذا بيحط محل + +294 +00:27:39,080 --> 00:27:44,700 +الـ Z؟ سفر، و لو R تربيع جزر تلت عتنين، ايش بيصير؟ + +295 +00:27:44,700 --> 00:27:49,960 +R تكعيب، مظبوط؟ R تكعيب و فوق فيه R تربيع، امينوت + +296 +00:27:49,960 --> 00:27:54,740 +I عتنين R، هذا لوين؟ عند الـ Centerتمام؟ Note that + +297 +00:27:54,740 --> 00:27:57,840 +at the origin of the loop Z بتساوي Zero, اذا بيه Z + +298 +00:27:57,840 --> 00:28:02,020 +ساوي من I على 2R وبرضه كانوا بصمهم يهدفوا توجيه + +299 +00:28:02,020 --> 00:28:07,660 +كنتجة صح؟ + +300 +00:28:07,660 --> 00:28:11,320 +كانوا يحفظوهم إيه تحفيز لإنه مافيش مجال اللي + +301 +00:28:11,320 --> 00:28:15,720 +يعملوها هيك يعني تمام + +302 +00:28:18,590 --> 00:28:22,050 +أحنا اتفقنا عشان أجيب شدة المجال المغناطيسي زي ما + +303 +00:28:22,050 --> 00:28:24,930 +كنت بدي أجيب شدة المجال الكهربائي في المجال + +304 +00:28:24,930 --> 00:28:30,170 +الكهربائي كان في قانون كلهم اللي نظروا قانون bio + +305 +00:28:30,170 --> 00:28:34,710 +-savar انتوا عارفين ان bio-savar ده اسمين؟ عارفين + +306 +00:28:34,710 --> 00:28:39,190 +تمام bio و savar فعارفين مرات بقولوا bio and savar + +307 +00:28:39,190 --> 00:28:43,030 +و مرات bio شرط savar اللي معتمد بالعربي و بيقولوا + +308 +00:28:43,030 --> 00:28:47,040 +bio-savar تمامالقانون التاني اللي أخدناه في + +309 +00:28:47,040 --> 00:28:50,640 +الكهربية قانون جاوس، ذاكرينه؟ قانون جاوس من أين + +310 +00:28:50,640 --> 00:28:55,260 +إجا؟ إجا من علاقة دي لـ E بتساوي رو على أبسل نوت، + +311 +00:28:55,260 --> 00:28:59,270 +ذاكرينه؟ مش هذا قولنا عبارة عن قانون جاوس؟في الـ + +312 +00:28:59,270 --> 00:29:02,810 +Differential Form إيه؟ يعني الـ divergence of E + +313 +00:29:02,810 --> 00:29:06,810 +كان بسوية Zero إيه لها قيمة؟ عشان كده يقولوا + +314 +00:29:06,810 --> 00:29:12,070 +المجال الكهربائي بتشتت بتشتت فإيه ال divergence ده + +315 +00:29:12,070 --> 00:29:15,570 +ما خلصنا باي و سا بارله في قانون لنظر جاوس بيقولوا + +316 +00:29:15,570 --> 00:29:22,430 +أه سميناه قانون أمبيرأبير بيناظر قانون gauss طيب + +317 +00:29:22,430 --> 00:29:28,290 +هل يا ترى في حاجة اسمها divergence لل B يلا نحسبها + +318 +00:29:28,290 --> 00:29:33,750 +بدي اشوف ال divergence of B و ال care of B طب + +319 +00:29:33,750 --> 00:29:38,170 +انتوا ذاكرين ان دي ال cross ال E دايما بتساوي + +320 +00:29:38,170 --> 00:29:43,690 +zero؟ ذاكرينها؟ طبعا خليني اشوف جاني from bio + +321 +00:29:43,690 --> 00:29:48,320 +savallo we have هاي قانون bio savalloأنا بدي أشتغل + +322 +00:29:48,320 --> 00:29:51,640 +رياضيات عادي، سؤال Mathematical Physics بدي أجيب + +323 +00:29:51,640 --> 00:29:58,000 +الـDivergence لهذا، بسهل، هات الـDel Dot Del Dot A + +324 +00:29:58,000 --> 00:30:02,720 +cross الـB أخدته زمان Identity وممكن نشتغلها + +325 +00:30:02,720 --> 00:30:06,140 +بسهولة، مظبوط ولا .. الـIdentity كانت تقول Del Dot + +326 +00:30:06,140 --> 00:30:09,560 +A cross الـB بيساوي Del Cross الـA Dot الـB وDel + +327 +00:30:09,560 --> 00:30:13,360 +Cross الـB Dot الـA طبقها، احنا نقول أن هذا سؤال + +328 +00:30:13,360 --> 00:30:17,720 +رياضي رياضي، مافيش فيه فيزيا، بدي أثبت يعنيتمام؟ + +329 +00:30:17,720 --> 00:30:25,000 +حطيها؟ لأ، سهل لأ بقى .. بقى .. بقى شحتها دي، + +330 +00:30:25,000 --> 00:30:30,140 +شحتها تمام؟ معناه الحمد لله أنه ما بنجيبهاش تمام + +331 +00:30:30,140 --> 00:30:37,500 +طيب، برضه اجلب اجلب في chapter رقم واحد chapter .. + +332 +00:30:37,500 --> 00:30:42,140 +لجيتها ال identity بتقول R على R cubic بسوء سالب + +333 +00:30:42,140 --> 00:30:48,520 +دي الواحد على R تبعوا إيش صار معايا؟هادي، إيش بده + +334 +00:30:48,520 --> 00:30:53,360 +يحط محلها؟ دل، اتطلعوا هادي، بدها تصير دل دل عبر + +335 +00:30:53,360 --> 00:30:58,240 +الدل؟ Zero زي A عبر A، ولا برضه ماكيش فيها A عبر + +336 +00:30:58,240 --> 00:31:09,220 +A؟ Zero طيب، طب وهادي يا هدا؟ + +337 +00:31:09,220 --> 00:31:15,180 +فكر فيها، بداش قاعدة، لو فيها قاعدة، كما قلت لكيش، + +338 +00:31:15,180 --> 00:31:20,360 +يجوا بيهاهدي عايش بيكون عمودي عايش عمودي ع + +339 +00:31:20,360 --> 00:31:27,380 +التنتين؟ إذا عمودي ع هدي؟ إذا جدش صلع إيه دلوقت؟ + +340 +00:31:27,380 --> 00:31:34,100 +سفر؟ طلع إيه إيه إيش صار؟ هدي cross و هدي ماهي + +341 +00:31:34,100 --> 00:31:38,860 +deal يعني البديل هدي بده أحط deal إيه إيه؟ هدي سفر + +342 +00:31:38,860 --> 00:31:44,850 +و هدي سفر؟ جدش صلع ال divergence؟ سفرإذا الـ + +343 +00:31:44,850 --> 00:31:49,510 +Divergence of B .. وهي المطلوب بالنكهة تقول الـ + +344 +00:31:49,510 --> 00:31:53,450 +Divergence of B قد ياش؟ Zero كيف؟ بيقول بيديها لك + +345 +00:31:53,450 --> 00:32:00,330 +يا سميرة بسمة اللي بيديها نحن تمام أنا + +346 +00:32:00,330 --> 00:32:05,930 +بس عملتها طلع عندي دل ضد ال B بتساوي Zero هنا دل + +347 +00:32:05,930 --> 00:32:10,830 +ضد ال E كانت Zeroلأ، عشان كده بقولوا فيش عندى + +348 +00:32:10,830 --> 00:32:14,790 +قانون جاوس في المغناطيسية لإنه بيطلع الجواب Zero + +349 +00:32:14,790 --> 00:32:18,790 +وطبعا زمان كنا في السنة الأولى إيش نقول؟ ليش فيش + +350 +00:32:18,790 --> 00:32:21,210 +قانون جاوس في المغناطيسية؟ نقول والله فيه، بس ماحد + +351 +00:32:21,210 --> 00:32:26,550 +بقدر يستفيد منه لإنه دائما بتقدرش يجيب قطب لحاله + +352 +00:32:27,090 --> 00:32:31,250 +صح؟ هجد في قانون جاوس تبع الكهربية لو كان في عندك + +353 +00:32:31,250 --> 00:32:34,470 +شحنات موجبة بساوي الشحنات السالبة دايما الـQin + +354 +00:32:34,470 --> 00:32:39,370 +جديش بتكون Zero و المناطسية هيك عمرك ملاجئته قطب + +355 +00:32:39,370 --> 00:32:42,650 +شمالي بيزيد عن الجنوب؟ اذا مافيش اللي بيكون Zero + +356 +00:32:42,650 --> 00:32:48,670 +عشان كده ال divergence قلنا Zero طيب فبالكر انجرب + +357 +00:32:48,670 --> 00:32:55,100 +برضه شغال رياضية هايل بيه يلّا نعملطبعا هذه بصيغة + +358 +00:32:55,100 --> 00:33:00,280 +تانية له حسب القاعدة بقول هي دي اللي cross ال A في + +359 +00:33:00,280 --> 00:33:05,000 +قاعدة سموها ال back cap rule سمعتوا فيها؟ A cross + +360 +00:33:05,000 --> 00:33:09,700 +ال B cross ال C تمام؟ A cross ال B cross ال C هي A + +361 +00:33:09,700 --> 00:33:15,500 +وهي B وهي C اعمل ال back cap rule هدا هي بذكركم + +362 +00:33:15,500 --> 00:33:20,600 +فيها زي ما احنازي ما انتوا بطلتوا تحفظوا وأنا برضه + +363 +00:33:20,600 --> 00:33:24,020 +بحفظش زيكم يعني بصينش حد وبالتالي بضطر أحطها قدامي + +364 +00:33:24,020 --> 00:33:28,980 +عشان أنا ماتتهيش معايا فبحطها عشان أذكرها وانا + +365 +00:33:28,980 --> 00:33:35,440 +بشتغل تمام؟ قاللي هاي نعملناها إيه صار معاك؟ هادي + +366 +00:33:35,440 --> 00:33:40,300 +و هادي نيجي لهادي قاللي هادي جيه طيار و لا مش + +367 +00:33:40,300 --> 00:33:46,180 +طيار؟ مش طيار مش طيار دايما اللي بنعتبره sourceمش + +368 +00:33:46,180 --> 00:33:48,960 +source و ال source دايما بيعتمد على R ولا على R + +369 +00:33:48,960 --> 00:33:54,660 +شرطة على R شرطة و هذه ال deal على R إذن هذه Zero + +370 +00:33:54,660 --> 00:34:03,600 +تمام هذه أخدتها هذه عبارة عن Dirac Delta Function + +371 +00:34:03,600 --> 00:34:07,960 +هذه Dirac Delta Function قاللي هذه هدهي سقنها في + +372 +00:34:07,960 --> 00:34:11,200 +شبه ترواحة آه يا خير أخدتها في شبه ترواحة دي براوي + +373 +00:34:11,200 --> 00:34:17,710 +دليلا تمام أربعة by deal حلو طبعاأنا عندي بدل R + +374 +00:34:17,710 --> 00:34:20,510 +بده أحط R script R script هي R نقص، R شرطة، ازاي + +375 +00:34:20,510 --> 00:34:25,070 +تدبّقوا تمام جالي دلت ضد الـJ بيستوي سفر وليش؟ + +376 +00:34:25,070 --> 00:34:28,250 +since J depends on a brand coordinates على R شرطة + +377 +00:34:28,250 --> 00:34:32,490 +بتعتمد مش على R و أنا قاعد بشتغل على R و R غير عن + +378 +00:34:32,490 --> 00:34:36,510 +R شرطة تمام، هذا variable و هذا variable صار عندي + +379 +00:34:36,510 --> 00:34:42,770 +هدفي Delta R scriptDelta R script و زمان برضه في + +380 +00:34:42,770 --> 00:34:47,570 +chapter واحد بيقول إن لو كان عندك تكامل F of X + +381 +00:34:47,570 --> 00:34:54,270 +Delta X نقص X not DX إيش بيطلع الجواب؟ F of X not + +382 +00:34:54,270 --> 00:35:01,450 +صح؟ إذن هذا GR شرطة وهنا Delta R نقص R شرطة G of R + +383 +00:35:01,450 --> 00:35:07,610 +G of R فصارت عندك G of R هذا قانون + +384 +00:35:08,680 --> 00:35:13,400 +الـ K للـ B طلع Zero؟ لأ، وأصلا و أنا جاعة بشرحلكم + +385 +00:35:13,400 --> 00:35:18,620 +الـ K شهر تسعة حكيتلكم كير الـ B له قيمة لأنه + +386 +00:35:18,620 --> 00:35:25,320 +بيلف، هي أثبتناها إثبات رياضي، بيلف، حلو، برضه + +387 +00:35:25,320 --> 00:35:32,180 +عشان بس انرسخكيف احنا جيبنا قانون GAUSS قولنا هذا + +388 +00:35:32,180 --> 00:35:37,940 +هي قانون GAUSS كامل طرفي المعادلة هاي دي تاو وهاي + +389 +00:35:37,940 --> 00:35:43,680 +دي تاو هاد استخدمت الـ divergence theorem هاد + +390 +00:35:43,680 --> 00:35:49,840 +بيحولك التكامل الحجمي لتكامل سطحي فجعله سطح مغلق E + +391 +00:35:49,840 --> 00:35:56,740 +ضد الـDS هاد يرى دي تاو قالك Q فصرت الـQ N على + +392 +00:35:56,740 --> 00:36:01,330 +إبسل نوتتمام؟ هذه الـ divergence طب هذه ما طالعكش + +393 +00:36:01,330 --> 00:36:06,250 +مع ال divergence عندك care طب كامل طرفي المعادلة + +394 +00:36:06,250 --> 00:36:11,970 +حُط surface واستخدم stick theorem يعني لو عملت هيك + +395 +00:36:11,970 --> 00:36:19,550 +دي أس دي أس اتفرجنا هيك؟ stick theorem بتحول ال + +396 +00:36:19,550 --> 00:36:27,230 +surface ل lineبيصير تكامل مغلق لـ B.DL بيساوي ميو + +397 +00:36:27,230 --> 00:36:37,370 +نوت ايش هذا؟ هذا I هذا I طيب هذه S وهذا ال line + +398 +00:36:37,370 --> 00:36:43,710 +بيقرب منها بعيد ال line هو اللي بيحوط ال surface + +399 +00:36:43,710 --> 00:36:48,110 +صح ولا لأ؟ وهذا قانون أمبير يعني هذا قانون أمبير + +400 +00:36:48,110 --> 00:36:52,070 +بسميه differential form of amperes lawتمام؟ إذا من + +401 +00:36:52,070 --> 00:36:59,230 +هنا بقوله using strict theory استخدمت القانون فطلع + +402 +00:36:59,230 --> 00:37:06,890 +معايا هذا القانونب.dl تكامل حوالين مصار مغلق. إذا + +403 +00:37:06,890 --> 00:37:09,110 +ذكرتم من أين جاء الإغلاق؟ من الـ Strict Theorem. + +404 +00:37:09,590 --> 00:37:12,570 +مثلًا، لماذا تقول أن السطح مغلق في جاوس؟ جاء من + +405 +00:37:12,570 --> 00:37:15,350 +الـ Divergent Theorem. من الـ Divergent Theorem. + +406 +00:37:15,790 --> 00:37:18,230 +بيساوي ميو نوت I enclosed. يجب أن تقولوا، ما هو I + +407 +00:37:18,230 --> 00:37:21,470 +enclosed؟ يقولوا، I enclosed هو التيار اللي اخترق + +408 +00:37:21,470 --> 00:37:25,550 +المساحة اللي حددها الـ Closed Surface. اللي حددها + +409 +00:37:25,550 --> 00:37:30,400 +الـ Closed Surface.is an I enclosed is the total + +410 +00:37:30,400 --> 00:37:35,200 +current crossing the surface enclosed by the + +411 +00:37:35,200 --> 00:37:39,560 +closed loop طيب لـ closed loop أو خلّيني نسأل برضه + +412 +00:37:39,560 --> 00:37:43,180 +نرجح عشان بقول أنا فيه تناظر في خانون Gauss مين + +413 +00:37:43,180 --> 00:37:44,420 +كان يختار السطح المغلق؟ + +414 +00:37:47,140 --> 00:37:51,560 +كنا نختاره بحيث انه ايش يكون ثابت؟ E لكن انا كنت + +415 +00:37:51,560 --> 00:37:55,260 +اختاره و بعدين هذا الصفحه المغلقه تطلع جواه توفيه + +416 +00:37:55,260 --> 00:37:59,000 +شحونات ولا لا؟ انا هلجيت بدأ اختار مسار مغلق؟ ايش + +417 +00:37:59,000 --> 00:38:02,160 +بيجي ع بالكم مسارات مغلقة؟ اه يا غدير ايش في مسار + +418 +00:38:02,160 --> 00:38:05,540 +مغلق تتفكري فيه؟ بدي مسار مغلق؟ دائرة ايه دائرة؟ + +419 +00:38:05,540 --> 00:38:08,740 +براو عليكي ايه دائرة؟ ايش كمان في مسار مغلق؟ + +420 +00:38:08,740 --> 00:38:17,600 +السوانة مسار مغلق للسوانة؟ نعستيمسار بدي هذا مش + +421 +00:38:17,600 --> 00:38:20,420 +كره دلوقت داعي لما قلتي اذا كده سمحت اللي كيها + +422 +00:38:20,420 --> 00:38:25,880 +مربع او مستطيل شوف المستطيل اعمل مربع لإن المستطيل + +423 +00:38:25,880 --> 00:38:29,220 +طوله عرض ووزيها بعيد طب و هيك المسار مينفعش و هذا + +424 +00:38:29,220 --> 00:38:40,260 +مسار بينفع مظبوط طيب و هذا المسار بينفع اتسنى + +425 +00:38:40,260 --> 00:38:47,140 +شوية مش الطيار بيه هذي مسارة ماضحة ولا لأمغلق وهو + +426 +00:38:47,140 --> 00:38:51,540 +بيقولي أي مسار مغلق ال gate وين المساحة اللي + +427 +00:38:51,540 --> 00:38:56,180 +حددتها هادي .. هادي .. هادي .. هادي .. صح؟ إيش + +428 +00:38:56,180 --> 00:38:58,600 +بيقولي؟ بيقولي طبعا انت مابكن حلل إيش بيجيب؟ بيجيب + +429 +00:38:58,600 --> 00:39:02,740 +بيه عشان بيجيب بيه بيجي تطلع حدا برا إذا بدك تختار + +430 +00:39:02,740 --> 00:39:08,020 +مسارك المغلق بحيث بيه تكون ثابت عليه .. ثابت عليه + +431 +00:39:09,640 --> 00:39:13,680 +إحنا هيلزمنا بس اتنين من هذول الأربعة هذا صعب + +432 +00:39:13,680 --> 00:39:18,580 +اخده، كلكم بتعرفوا، في الآخر مش DS ده كتكملها و + +433 +00:39:18,580 --> 00:39:23,260 +بدك محيطها، مين يقولي محيط هذا الشكل؟ اه صعب حالي + +434 +00:39:23,260 --> 00:39:26,680 +ليش، اه صعب حالي ليش، بزاري انت بدك تختار، اذا هذا + +435 +00:39:26,680 --> 00:39:32,640 +انسو تمام، هذا هيغلبكم لأنه مش منتظم، بالتالي مش + +436 +00:39:32,640 --> 00:39:36,900 +هيديكوا، اللي هو مثلث، يظل عندك لا هذا لا هذاطب + +437 +00:39:36,900 --> 00:39:40,500 +اخد هذا ولا هذا؟ احنا هنتعلم احنا وياكم شرطه انه + +438 +00:39:40,500 --> 00:39:44,600 +بيتكون constant فإيش بقولي هنا الملاحظة كتبها؟ + +439 +00:39:44,600 --> 00:39:47,340 +بقولي like Gauzy's law زي ما كنت اعمل في Gauzy's + +440 +00:39:47,340 --> 00:39:52,810 +law and Beer's law is always true هو صحيحلأي + +441 +00:39:52,810 --> 00:39:58,270 +مصارعة مستمرة وفي كل مصارعة مغلقة لكنها ليست دائما + +442 +00:39:58,270 --> 00:40:03,470 +مفيدة لكن بقدرش دائما أستخدمه ليش؟ فقط عندما + +443 +00:40:03,470 --> 00:40:10,070 +السيماترية في المشكلة تجعلك تخرج الـB من الانتقال + +444 +00:40:10,070 --> 00:40:13,910 +إذا طلعت هذه الـB إيش وقت إيش بطلع الـB؟ لما تكون + +445 +00:40:13,910 --> 00:40:16,790 +ثابتة على مسارك وانت اللي اختارت المسار بقيت اختار + +446 +00:40:16,790 --> 00:40:21,970 +مسارك بحيث أن الـB تكون constant عليهto build P + +447 +00:40:21,970 --> 00:40:24,890 +out of the integration اللي هو هذا you can + +448 +00:40:24,890 --> 00:40:29,430 +calculate P using Ampere's law و هرايحك نذكر + +449 +00:40:29,430 --> 00:40:33,090 +الحالات اللي كنا نطبق عليها قوانين Gauss أكم حالة + +450 +00:40:33,090 --> 00:40:41,190 +شكالة كراوية كلهاأما هو سلك طويل الصوانة والسطح + +451 +00:40:41,190 --> 00:40:45,350 +الطويل، ثلاث أنواع صح ولا لأ؟ بيقولّي the current + +452 +00:40:45,350 --> 00:40:49,350 +configurations that can be handled by and bears + +453 +00:40:49,350 --> 00:40:54,030 +law هم أربع أنواع، مانهم مش خامس إيش هما؟ infinity + +454 +00:40:54,030 --> 00:40:59,630 +straight lines زي جاوس infinity planes زي جاوس + +455 +00:40:59,630 --> 00:41:05,930 +لأسطح السينينويد بس يكون infinite طويل السينينويد + +456 +00:41:05,930 --> 00:41:10,460 +يمثل حلزونيا يا بناتتمام؟ والترويد الملف الدائري + +457 +00:41:10,460 --> 00:41:13,600 +استرنويد والترويد أخدناها في ذي بقى ولا لا نسمع؟ + +458 +00:41:13,600 --> 00:41:20,380 +تمام حلو هدول الحالات هم فقط اللي بتقدر تطبق عليهم + +459 +00:41:20,380 --> 00:41:24,820 +قوانين أمبير باقي الحالات بقولك ما كل المسارات + +460 +00:41:24,820 --> 00:41:28,060 +المغلقة اللي في الدنيا بيبتكون ثابتة عليهم بيبتكون + +461 +00:41:28,060 --> 00:41:33,820 +ثابتة عليهم طب نشوف هذا المثال نبدأ في هذا هيك بس + +462 +00:41:33,820 --> 00:41:39,450 +بدايةبقول يا عندك سلك طويل جدا السلك الطويل توي + +463 +00:41:39,450 --> 00:41:43,030 +حلته بيه و صبرتله لما هودا جالتلي الواحد و الاتنين + +464 +00:41:43,030 --> 00:41:46,990 +قصته ماله نهاية ذاكرها هم؟ في الآخر طلعت عندي بيه + +465 +00:41:46,990 --> 00:41:52,650 +هودا ميو نوت اي على اتنين باي اس هيك طلعت النتيجة، + +466 +00:41:52,650 --> 00:41:57,630 +مظبوط ولا لأ؟هيبقى ميون اتنين بياس هايسليك طويل + +467 +00:41:57,630 --> 00:42:01,990 +قال لي خلينا نحله كيف حلناه؟ والله استكاملنا و + +468 +00:42:01,990 --> 00:42:06,130 +الفاي و طلعنا الفاي برا و أولناها لل I و ال J و + +469 +00:42:06,130 --> 00:42:09,970 +بعدين احتجنا ال limits صح؟ وعملنا ال limits و طلعت + +470 +00:42:09,970 --> 00:42:13,530 +معايا النتيجة طويل السؤال طب أنا هحله بامبيرز قال + +471 +00:42:13,530 --> 00:42:16,770 +لي هايسليك بدي أخمله شوية عشان بدي شدت المجال برا + +472 +00:42:16,770 --> 00:42:22,930 +و جوا خلينا نقول علي برا احنا تمام هايسليك بدي شدت + +473 +00:42:22,930 --> 00:42:27,970 +المجال هنا بدي أخد مصارهل جيت اتفجنا بدي فيه عندي + +474 +00:42:27,970 --> 00:42:31,770 +نوعية المصهر بدي اخد المصهر او المربع انهي النقطة + +475 +00:42:31,770 --> 00:42:39,950 +هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و + +476 +00:42:39,950 --> 00:42:40,770 +هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و + +477 +00:42:40,770 --> 00:42:43,790 +هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و + +478 +00:42:43,790 --> 00:42:43,790 +هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و + +479 +00:42:43,790 --> 00:42:43,790 +هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و + +480 +00:42:43,790 --> 00:42:48,990 +هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و هيدلع و + +481 +00:42:48,990 --> 00:42:56,190 +هيدلأن المثلث هيك و هيك و بعدين هذا طب احنا بقول + +482 +00:42:56,190 --> 00:43:00,810 +إن المثلث أصلا دايما سيء نيجي نشوف الدويرة نفس + +483 +00:43:00,810 --> 00:43:04,410 +البعد نفس البعد ولا مش نفس البعد؟ إذا بقدر أقول بي + +484 +00:43:04,410 --> 00:43:10,190 +is constant ولا لأ بي is constant حلو إذا هاي + +485 +00:43:10,190 --> 00:43:16,430 +مصاري المصاري المقدق اللي هو المحيط حوت جواته + +486 +00:43:16,430 --> 00:43:22,510 +مساحة صفره صح؟ المساحة الصفره هي اللي حوتهاالمصاري + +487 +00:43:22,510 --> 00:43:26,250 +المغلق سؤالي اليكم الآن انا بدي شدت المجان + +488 +00:43:26,250 --> 00:43:31,270 +الكهربائي المناطيسي عند النقطة هذه كيف اتجاهها عند + +489 +00:43:31,270 --> 00:43:41,030 +النقطة هذه اعتبرني + +490 +00:43:41,030 --> 00:43:45,950 +ماسمعتهمش اعمالين احكي + +491 +00:43:45,950 --> 00:43:50,070 +ايه + +492 +00:43:50,070 --> 00:43:55,470 +الحمرهدا ابهامك ايه؟ هدقول ابهامك لف أصابعك لما + +493 +00:43:55,470 --> 00:44:04,330 +تصل لنقطتك هك + +494 +00:44:04,330 --> 00:44:12,770 +خبطيها و لا مقتنعة فيها؟ أكيد، تمام، طب فوق؟ + +495 +00:44:12,770 --> 00:44:19,110 +مظبوط، مظبوط هيك و لا؟ طيب مع كل النقاش بتقدر + +496 +00:44:19,110 --> 00:44:23,640 +تقوله باتجاهك الدوران كله؟صح؟ طب لو خدتيلي DL عند + +497 +00:44:23,640 --> 00:44:30,720 +أي نقطة، إيش الزاوية بين DL والـ B؟ + +498 +00:44:30,720 --> 00:44:34,580 +بـ DL والـ B، لإن قانون الأمبير فيه DL، مش هو B ضد + +499 +00:44:34,580 --> 00:44:42,660 +DL، إيش هو DL هو؟ من المصاد المحيط، حلو، المحيط + +500 +00:44:42,660 --> 00:44:44,920 +كيف بيكون اتجاهه؟ + +501 +00:44:48,170 --> 00:44:51,710 +المحيط كيف اتجاهه؟ هذا خيط كيف اتجاه الخيط؟ الخيط + +502 +00:44:51,710 --> 00:44:58,530 +هو لأ ملفوف باتجاه المحيط باتجاه ايش؟ المماس نفس + +503 +00:44:58,530 --> 00:45:02,850 +القطر بيكون هيك صح؟ باتجاه المماس وال بي باتجاه + +504 +00:45:02,850 --> 00:45:07,990 +المماس الزاوية بينهم zero وcos zero one لأنه في + +505 +00:45:07,990 --> 00:45:13,190 +قانون الأنبياء في product نور مش مش مصدقة احط + +506 +00:45:13,190 --> 00:45:18,020 +القانون وطلع يا نورهذه القانون .. انا اريد ان + +507 +00:45:18,020 --> 00:45:21,720 +احلها .. هذا مظبوط .. اجتبه امانة انه يخرج من + +508 +00:45:21,720 --> 00:45:26,340 +الخارج .. طب و ماذا برضه انك تريد ان تحلها؟بالتفكك + +509 +00:45:26,340 --> 00:45:31,080 +على مهودة أنه هيك ماشي باتجاه الـ Phi صح؟ بالـ + +510 +00:45:31,080 --> 00:45:34,520 +Syndical Coordinates باتجاه الـ Phi طب و الـ DL؟ + +511 +00:45:34,520 --> 00:45:39,160 +الـ DL ما هو جزء من المحيط و المحيط هيه هيه كيف + +512 +00:45:39,160 --> 00:45:43,100 +اتجاه المحيط؟ جزء من المحيط وين ما تاخدوا معاناها + +513 +00:45:43,100 --> 00:45:48,180 +إذا برضه Phi و Phi Dot Phi واحد إذا بتروحوا Dot + +514 +00:45:48,180 --> 00:45:48,700 +Product + +515 +00:45:52,380 --> 00:45:59,220 +طلعتها برا إيش تكامل الـDL؟ طول المحيط طب بدي أنا + +516 +00:45:59,220 --> 00:46:04,260 +الآن I enclosed قاللي I enclosed أنت بتقوللي هو + +517 +00:46:04,260 --> 00:46:09,420 +التيار الذي اخترق المساحة التي حددها المصار المصار + +518 +00:46:09,420 --> 00:46:13,120 +حدد المساحة الصفره صح؟ هل المساحة الصفره بخترقها + +519 +00:46:13,120 --> 00:46:18,800 +طيار ولا لأ؟ كل الطيار ولا جزء منه كله إذا حط I + +520 +00:46:20,090 --> 00:46:25,730 +كله، في واحد من هدول، ما اخترقش، كل هدول قال طلعي + +521 +00:46:25,730 --> 00:46:30,910 +جواب الـMun اطعي على اتنين by ass، نفس الجواب اللي + +522 +00:46:30,910 --> 00:46:45,890 +جابته توي انا بواسطة Pyosafart law بنكمل + +523 +00:46:45,890 --> 00:46:49,310 +ما اتفق من المثال المرة الجاية + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/w47jjkQoU3Q.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/w47jjkQoU3Q.srt new file mode 100644 index 0000000000000000000000000000000000000000..46b955a2c76701a5f8e30debc1ee6d2f28f84cc5 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/w47jjkQoU3Q.srt @@ -0,0 +1,1341 @@ + +1 +00:00:20,960 --> 00:00:29,400 +طبعا خلينا نستأنف المحاضرة الماضية، حكينا على ال + +2 +00:00:29,400 --> 00:00:33,960 +del operator، كـ operator جديد. قلنا إن الـ del + +3 +00:00:33,960 --> 00:00:37,700 +operator هو derivative، لكن directional derivative. + +4 +00:00:37,700 --> 00:00:43,060 +يُعطى بالعلاقة: partial xi على partial yj + +5 +00:00:43,060 --> 00:00:48,880 +plus partial على partial zk. هذا عبارة عن derivative + +6 +00:00:48,880 --> 00:00:52,600 +زي ما بتشوفوا، partial derivative لكن إله direction. + +7 +00:00:52,600 --> 00:00:58,100 +هي اللي بتميزه عن الـ derivative العادي. بعد هيك + +8 +00:00:58,100 --> 00:01:05,580 +قلنا لو هذا أثر على function، scalar function، + +9 +00:01:05,580 --> 00:01:07,660 +بيعطينا حاجة مسميها الـ gradient. + +10 +00:01:12,660 --> 00:01:16,480 +وقلنا إن الـ gradient إله magnitude وإله direction. + +11 +00:01:16,480 --> 00:01:22,280 +المقدار هو الـ slope تبع الـ curve عند point معينة. + +12 +00:01:22,280 --> 00:01:26,340 +و الـ direction بيكون باتجاه أكبر زيادة ممكنة. تمام. + +13 +00:01:26,340 --> 00:01:30,780 +لو كان في عندي dot product بين الـ del operator و + +14 +00:01:30,780 --> 00:01:33,320 +الـ vector A، بيكون في عندي الـ divergence. + +15 +00:01:37,910 --> 00:01:42,550 +واتفقنا إن الـ divergence بيجيب how much the + +16 +00:01:42,550 --> 00:01:47,130 +function spreads out، قداش بينتشر الـ function. وآخر + +17 +00:01:47,130 --> 00:01:51,050 +حاجة قلنا: لو كانت دي الـ operator بنعمله cross + +18 +00:01:51,050 --> 00:01:57,470 +product مع vector، بيطلع عندي الـ curl. والـ curl بيجيب + +19 +00:01:57,470 --> 00:02:03,790 +قداش الـ vector بصله دوران، بيلتوي. هذا هو اللي + +20 +00:02:03,790 --> 00:02:08,330 +أخدناه في المحاضرة الماضية وعملنا عليها أمثلة + +21 +00:02:08,330 --> 00:02:12,790 +بسيطة. النقطة الأساسية أن الـ del كـ operator كيف + +22 +00:02:12,790 --> 00:02:18,550 +نتعامل معاه. بعد هيك بتكون الأمور تطبيقية سهلة من + +23 +00:02:18,550 --> 00:02:23,630 +الناحية الرياضية. الـ operator operations، في بعض الـ + +24 +00:02:23,630 --> 00:02:28,950 +identities اللي هنحتاجها وإحنا قاعدين بنشتق + +25 +00:02:28,950 --> 00:02:35,150 +المعادلات الفيزيائية. هذه الـ identities عبارة عن + +26 +00:02:35,150 --> 00:02:38,910 +الـ del operator. بنحط مع command del operator. + +27 +00:02:38,910 --> 00:02:42,210 +إحنا متفقين إن الـ del is a vector quantity. + +28 +00:02:42,210 --> 00:02:46,630 +وبالتالي لو كان عندي del ضد الـ del، زي A ضد الـ A، + +29 +00:02:46,630 --> 00:02:51,690 +إيش A ضد الـ A؟ إيش تربيعه؟ مظبوط أو لا؟ و del ضد الـ del، + +30 +00:02:51,690 --> 00:02:56,810 +del تربيع، الشيء del تربيع. من هنا: partial تربيع على + +31 +00:02:56,810 --> 00:02:59,770 +partial X تربيع، partial تربيع على partial Y تربيع، + +32 +00:02:59,770 --> 00:03:02,710 +partial تربيع على partial Z تربيع. بعمل dot product بين الـ + +33 +00:03:02,710 --> 00:03:05,310 +vector وأخوه. وبالتالي هذا بنسميه + +34 +00:03:05,310 --> 00:03:11,190 +Laplacian. تمام؟ إذا del ضد del ليه del تربيع؟ + +35 +00:03:11,190 --> 00:03:15,820 +وده هو زي ما أنتم شايفينه. طيب لو كان عندي del لـ + +36 +00:03:15,820 --> 00:03:20,620 +cross del، زي A cross الـ A. قداش A cross الـ A؟ + +37 +00:03:20,620 --> 00:03:24,680 +Zero. لأن A cross الـ B هو magnitude الـ A في + +38 +00:03:24,680 --> 00:03:27,200 +magnitude الـ B في sin الزاوية اللي بينهم. + +39 +00:03:27,200 --> 00:03:30,740 +وبالتالي لـ cross product بين الـ vector و + +40 +00:03:30,740 --> 00:03:35,080 +itself، the angle is zero. وبالتالي sin الـ zero، + +41 +00:03:35,080 --> 00:03:39,600 +Zero. فبالتالي del cross del، بتطلع برضه + +42 +00:03:39,600 --> 00:03:45,830 +Zero. Del cross الـ A، يعني الـ curl الـ A، + +43 +00:03:45,830 --> 00:03:52,430 +بيطلع قطعاً Zero. ليش؟ بيقول إنه هذا بيطلع vector + +44 +00:03:52,430 --> 00:03:58,730 +عمودي على الاثنين. مظبوط ولا لأ؟ إذن هذا الـ vector + +45 +00:03:58,730 --> 00:04:03,370 +عمودي على الـ del. قطعاً وبما إنه عمودي على الـ del + +46 +00:04:03,370 --> 00:04:07,990 +وهنا في الـ del cos 90، قداش؟ Zero. زي إحنا لما كنا + +47 +00:04:07,990 --> 00:04:09,530 +نقول إنه والله + +48 +00:04:12,300 --> 00:04:22,920 +A cross الـ B كم هذا؟ Zero. طيب لو B . A cross الـ B + +49 +00:04:22,920 --> 00:04:28,700 +برضه Zero. لأن هذا عمودي على هذا، أو هذا عمودي على + +50 +00:04:28,700 --> 00:04:29,020 +هذا. + +51 +00:04:32,410 --> 00:04:35,250 +والـ dot product بيعطينا الـ cosine الزاوية، و + +52 +00:04:35,250 --> 00:04:38,410 +الـ cosine الـ 90° قطعاً Zero. وهذه نفس + +53 +00:04:38,410 --> 00:04:43,510 +العملية. زي ما اتفقنا، هذه identities هتمر علينا، و + +54 +00:04:43,510 --> 00:04:51,170 +نستخدمها. وبالتالي اشتقاقها سهل، لكن بدنا نضل + +55 +00:04:52,260 --> 00:04:55,900 +متعاملين معاها. del cross... del cross الـ A، + +56 +00:04:55,900 --> 00:05:00,000 +فيها identity عبارة عن + +57 +00:05:00,000 --> 00:05:03,180 +gradient of divergence minus the Laplacian of the + +58 +00:05:03,180 --> 00:05:09,260 +vector A. وبرضه هذه مشتقة وممكن اشتقاقها بسهولة، و + +59 +00:05:09,260 --> 00:05:12,920 +لو مرت علينا هنقول لكم. والله بدنا ناخدها من الشطر + +60 +00:05:12,920 --> 00:05:19,940 +الواحد. ومعروفة. تمام. هذا الـ differential calculus + +61 +00:05:19,940 --> 00:05:24,130 +خلصناه. إيش معناته؟ Directional Derivative، + +62 +00:05:24,130 --> 00:05:27,610 +و Divergence، و Curl خلصناه، وحنعيده وإحنا قاعدين + +63 +00:05:27,610 --> 00:05:30,890 +بنشتغل بالشبات اللي وراها. الآن بنخش على التكامل. + +64 +00:05:30,890 --> 00:05:37,970 +Integral Calculus، تكاملات. التكامل مر علينا من + +65 +00:05:37,970 --> 00:05:42,570 +الثانوية وإحنا بناخد تكاملات، والمعنى تبعه في + +66 +00:05:42,570 --> 00:05:48,560 +النهاية هو مفهوم لدينا. يمكن في الناحية الرياضية أنك + +67 +00:05:48,560 --> 00:05:52,420 +تكامل x dx، إتعلمنا إنه بتجمع... بتشوف القصة + +68 +00:05:52,420 --> 00:05:55,540 +بتجمع له واحد وبتجسم، وبعدين تهيأت تكامل، وبعدين + +69 +00:05:55,540 --> 00:05:59,600 +بتعود من A لـ B. يعني x dx، x تربيع على اثنين، x تربيع + +70 +00:05:59,600 --> 00:06:03,400 +dx، x تكعيب على ثلاثة. مظبوط ولا لا؟ نفهم معنى كامل + +71 +00:06:03,400 --> 00:06:06,600 +تكاملات الـ exponential، الـ sin، الـ Gamma + +72 +00:06:06,600 --> 00:06:09,820 +function، الـ Beta function. تكاملات رياضية بنعرفها. + +73 +00:06:10,270 --> 00:06:14,750 +معنى التكامل هو في النهاية أنت بتعمل summation... + +74 +00:06:14,750 --> 00:06:18,550 +بتعمل summation. وأنا زمان قلت في السنة الأولى أن + +75 +00:06:18,550 --> 00:06:31,810 +هذا الرمز وهذا الرمز إخوة. هذا ∑ وهذا ∫. هذا ∑ من + +76 +00:06:31,810 --> 00:06:35,690 +summation، وهذا sigma، S في اللغة اليونانية برضه من + +77 +00:06:35,690 --> 00:06:40,840 +summation. فهذه summation وهذه summation. تمام. اللي + +78 +00:06:40,840 --> 00:06:44,800 +بيفرق أنه أنت بتجمع... بتفرقش معك تجمع كبير ولا + +79 +00:06:44,800 --> 00:06:47,640 +صغير. لكن لما تكامل بيبقى تكامل على شغلات صغيرة عشان + +80 +00:06:47,640 --> 00:06:52,500 +كده بتاخد عنصر، بتقول أنت هذه بتعمل f of x، وبتقول + +81 +00:06:52,500 --> 00:06:56,920 +هنا dx، الشيء dx. بتقول dx هذه الـ increment اللي + +82 +00:06:56,920 --> 00:07:00,420 +بيصير، التغير البسيط اللي بيصير، وبعدين بتبدأ تجمع + +83 +00:07:00,420 --> 00:07:04,720 +هذه الأصغار. مازال أنت خدت عنصر، فيه عندك عناصر كتير. + +84 +00:07:04,720 --> 00:07:09,040 +اجمع كل العناصر بيطلع عندك التكامل. تمام. عملية + +85 +00:07:09,040 --> 00:07:12,740 +العنصر. هيكون في عندنا تلات أنواع من العناصر. في one + +86 +00:07:12,740 --> 00:07:16,500 +dimensional element اللي هو الـ line integral. في + +87 +00:07:16,500 --> 00:07:18,920 +عندي two dimensional element اللي هو الـ surface + +88 +00:07:18,920 --> 00:07:21,680 +integral. وفي عندي three dimensional element اللي + +89 +00:07:21,680 --> 00:07:26,600 +هي الـ volume integral. أنا ممكن خط أجسمه لعناصر، + +90 +00:07:26,600 --> 00:07:31,960 +وممكن سطح أجسمه لعناصر، وممكن حجم أجسمه لعناصر. + +91 +00:07:31,960 --> 00:07:39,180 +وكلنا بنعرف إنه لازم يكون الجزء من جنس الكل. زي ما + +92 +00:07:39,180 --> 00:07:43,000 +أنا دايماً بقول برضه في زي الفل. لما الواحد يكون عنده + +93 +00:07:43,000 --> 00:07:47,240 +كوم بردجان وطلب شغلة، بطلع شجاصة. إيش بطلع؟ + +94 +00:07:47,240 --> 00:07:50,360 +بردجانة. إذا لما يكون كوم بردجانة بطلع يعني + +95 +00:07:50,360 --> 00:07:54,420 +العنصر بيكون جزء من الكل. تمام؟ وهذه نفس العملية. + +96 +00:07:54,420 --> 00:07:57,300 +أنا عندي line كبير، بدي آخد جزء، إيش بدي أطلع؟ line + +97 +00:07:57,300 --> 00:08:02,690 +صغير. مظبوط؟ هجيب surface كبير، بدي جزء، بطلعش line، + +98 +00:08:02,690 --> 00:08:05,710 +بفعش، بصير واكاينة اللي طلعت إنقاصها من الـ comfort + +99 +00:08:05,710 --> 00:08:09,890 +zone. إذا بدي أطلع الـ surface صغير. عندك حجم، بدك + +100 +00:08:09,890 --> 00:08:13,990 +تجزئه لعناصر، volume صغير، volume صغير، وبناخده + +101 +00:08:13,990 --> 00:08:18,000 +واحدة واحدة. وكيف نجيب كل واحد فيهم؟ أول حاجة + +102 +00:08:18,000 --> 00:08:21,620 +بناخدها هي الـ line integral. الـ line integral + +103 +00:08:21,620 --> 00:08:27,380 +التكامل الخطي، أنت بتكامل على خط، وبالتالي بيصير + +104 +00:08:27,380 --> 00:08:32,580 +العنصر من جنس تبعه هو خط بس صغير. تمام. الـ line + +105 +00:08:32,580 --> 00:08:43,180 +integral is expressed as A . dl. A ضد الـ dl. ندعو + +106 +00:08:43,180 --> 00:08:48,040 +الـ dl هذه، ماهو الـ dl؟ جزء من الـ line، جزء من + +107 +00:08:48,040 --> 00:08:51,580 +الـ line. مازال هذا جزء من الـ line، نسميه line + +108 +00:08:51,580 --> 00:08:57,400 +integral. نتذكر يا بنات، بدأتوا تأخذوا أنتم + +109 +00:08:57,400 --> 00:09:01,520 +Classical، بس لسه ما بدأتوش يعني جدّي. إذا بدنا نرجع + +110 +00:09:01,520 --> 00:09:10,640 +لفيزياء ألف، إيش أشهر تكامل خطي مر عليكم؟ تذكروا وهيك + +111 +00:09:10,640 --> 00:09:16,180 +وشوية وشوية. إيش فيه كمية بتيجي نتيجة تكامل؟ + +112 +00:09:16,180 --> 00:09:21,200 +واحدة واحدة نرجع. في فيزياء ألف، إيش؟ أخدت تكاملات؟ أخدت + +113 +00:09:21,200 --> 00:09:27,020 +تكاملات في فيزياء ألف؟ نتذكر؟ أخذنا، بس نتذكر، احكوا + +114 +00:09:27,020 --> 00:09:33,120 +بصوت عالي. بس السرعة... أنت بتقول يعني + +115 +00:09:33,120 --> 00:09:39,750 +المسافة، تكامل السرعة. غيرها؟ الشغل... الشغل... + +116 +00:09:39,750 --> 00:09:45,950 +الشغل عبارة عن line integral. هو عبارة عن F ضد الـ + +117 +00:09:45,950 --> 00:09:51,470 +dl. الـ work يا بنات، إذا كنتوا ذاكرين معي، إن الـ + +118 +00:09:51,470 --> 00:09:58,170 +work بيساوي تكامل F ضد الـ ds. كنا نقول ومن x initial + +119 +00:09:58,170 --> 00:10:02,530 +لـ x final. لكن هي in general عبارة عن dl. لأ. + +120 +00:10:02,530 --> 00:10:08,600 +وبالتالي من initial لـ final. وخلص. هذا هو line + +121 +00:10:08,600 --> 00:10:14,440 +integral. أذكركم عاد لما أخذنا الـ work في فيزياء ألف، + +122 +00:10:14,440 --> 00:10:20,560 +عرفنا القوة وجزأناها لنوعين: conservative و non- + +123 +00:10:20,560 --> 00:10:23,720 +conservative forces. كيف كنا نعرف إن القوة + +124 +00:10:23,720 --> 00:10:26,900 +conservative ولا مش conservative؟ إيش كان الشرط + +125 +00:10:26,900 --> 00:10:32,740 +عشان يكون conservative ولا لا؟ إن يكون الـ work؟ الـ + +126 +00:10:32,740 --> 00:10:39,440 +zero. عشان يعتبر conservative. بصورة عامة أنه إذا كان الشغل يعتمد + +127 +00:10:39,440 --> 00:10:43,720 +على المسار أو لا يعتمد على المسار. صح؟ إذا يعتمد + +128 +00:10:43,720 --> 00:10:46,960 +على المسار أو لا يعتمد على المسار، كيف يعني؟ بيقول + +129 +00:10:46,960 --> 00:10:53,140 +إن أنت بتكامل، دي الـ line integral، جزء من خط، وإيش + +130 +00:10:53,140 --> 00:10:56,320 +بدأ التكامل ونهايته، معروفة ولا مش معروفة؟ من + +131 +00:10:56,320 --> 00:11:01,040 +نقطة بداية لنقطة نهاية. يعني، هاي نقطة، هاي initial، + +132 +00:11:01,040 --> 00:11:07,510 +وهاي نقطة، هاي final. بدي أكامل، إيش يعني بدك تتكامل + +133 +00:11:07,510 --> 00:11:12,930 +من إله؟ بدك تبدأ من i، بدك تروح لـ f. جالي هاي + +134 +00:11:12,930 --> 00:11:19,950 +بديت من i ورحت لـ f. واحد بيقول هو بس هيك، طب أنا + +135 +00:11:19,950 --> 00:11:23,150 +هاه؟ + +136 +00:11:23,150 --> 00:11:26,890 +وصلت ولا ما وصلتش؟ وصلت. طبعاً واحد بيقول لك طب أنا + +137 +00:11:26,890 --> 00:11:32,870 +هيك، بدأت أمشي، برضه وصلت. التكامل + +138 +00:11:32,870 --> 00:11:36,450 +في التلات خطوط هدول، إذا طلعت نفس النتيجة، معناته + +139 +00:11:36,450 --> 00:11:39,650 +التكامل لا يعتمد على المسار اللي أنت اتبعته. صح + +140 +00:11:39,650 --> 00:11:43,570 +ولا لأ؟ ساعتها بقول الـ work... الـ force is + +141 +00:11:43,570 --> 00:11:48,190 +conservative. لكن لو لاجيت هنا نتيجة وهنا نتيجة، و + +142 +00:11:48,190 --> 00:11:51,990 +هنا نتيجة، معناته يعتمد على المسار ولا لأ؟ يعتمد + +143 +00:11:51,990 --> 00:11:57,490 +على المسار. حكينا إن الـ line integral هو التكامل + +144 +00:11:57,490 --> 00:12:02,610 +اللي بيكون على line. وبالتالي dl هي جزء من هذا الـ + +145 +00:12:02,610 --> 00:12:11,270 +line. و in general الـ dl زي ما حكينا هي dx باتجاه + +146 +00:12:11,270 --> 00:12:15,110 +الـ i، dy باتجاه الـ j. يعني أنا dl in general + +147 +00:12:15,110 --> 00:12:24,650 +بنكتبها بصورة عامة. بصورة عامة طبعاً ممكن تكون dl هي + +148 +00:12:24,650 --> 00:12:31,730 +عبارة عن dxi + dyj + dzk. in general. لكن ممكن + +149 +00:12:31,730 --> 00:12:35,370 +تكون one dimensional، ممكن تكون two dimensional. وكل + +150 +00:12:35,370 --> 00:12:40,610 +الأحوال سارية المفروض. تمام. if the path forms a + +151 +00:12:40,610 --> 00:12:46,070 +closed loop، إذا كان الـ line مغلق من point to the + +152 +00:12:46,070 --> 00:12:51,210 +same point. اتفقنا إنه بنحط إشارة الإغلاق فيه. تمام. + +153 +00:12:52,440 --> 00:12:55,540 +اللي جيت أقوله، حكيته على الـ work. بيقول: if the + +154 +00:12:55,540 --> 00:12:59,280 +line integral is independent on the path followed، + +155 +00:12:59,280 --> 00:13:02,180 +إذا لا يعتمد على المسار المتبع من نقطة البداية + +156 +00:13:02,180 --> 00:13:05,520 +للنهاية، the vector A is called conservative. + +157 +00:13:05,520 --> 00:13:09,920 +otherwise it is non-conservative. هذا اللي أخذناه + +158 +00:13:09,920 --> 00:13:17,220 +في الـ example. مش معيار أبو حمزة، الـ LCD شوف أنت وين + +159 +00:13:17,220 --> 00:13:18,180 +راحل من المثال. + +160 +00:13:26,840 --> 00:13:38,280 +كبير، صغره كله + +161 +00:13:38,280 --> 00:13:53,200 +الشيء + +162 +00:13:53,200 --> 00:13:54,500 +اللي هو أنا... + +163 +00:14:03,860 --> 00:14:05,260 +تبع + +164 +00:14:07,600 --> 00:14:11,140 +بعطيني الـ vector وبقول لي أوجد الـ line integral + +165 +00:14:11,140 --> 00:14:15,720 +from point A والـ point A والـ point P تُعطى لنا هي + +166 +00:14:15,720 --> 00:14:21,520 +(1،1،0)، (2،2،0). يعني الـ z component مش موجودة. along the + +167 +00:14:21,520 --> 00:14:27,670 +solid path and the dashed line. تمام. قلنا في الأول + +168 +00:14:27,670 --> 00:14:31,470 +إنه أنا عندي الـ dl زي ما حكينا عبارة عن dxi + dyj + + +169 +00:14:31,470 --> 00:14:37,870 +dzk. تمام. for the first path عبارة عن Ax dx + + +170 +00:14:37,870 --> 00:14:41,190 +Ay dy + Az dz. عملت dot product + +171 +00:14:41,190 --> 00:14:47,950 +بالطريقة المختلفة. تمام. الآن Ax هي عبارة عن Y تربيع، + +172 +00:14:48,470 --> 00:14:53,010 +و Ay هي عبارة عن 2xy + 1. طبعاً الـ Az zero، مافيش + +173 +00:14:53,010 --> 00:14:59,290 +عندي dz. فطلعناها بهذه الصيغة، وقلنا لما قلنا dx، + +174 +00:14:59,290 --> 00:1 + +223 +00:19:36,420 --> 00:19:42,360 +conservative حلو، نجي الآن إلى الـ surface integral line + +224 +00:19:42,360 --> 00:19:48,770 +integral خلصت من كام؟ العخط و dl، الـ surface integral + +225 +00:19:48,770 --> 00:19:56,230 +Surface Integral أنك بتكامل على Surface، الـ DS هذه جزء + +226 +00:19:56,230 --> 00:20:02,110 +من سطح، مش جزء من line، عشان نتذكر، نعرف نربط إيش + +227 +00:20:02,110 --> 00:20:08,730 +المثال اللي فيه تكامل سطحي، المثال الفيزيائي إيه مشهور + +228 +00:20:08,730 --> 00:20:11,030 +الفيزيائي بقى، عشان أذكركم، Gauss + +229 +00:20:14,520 --> 00:20:18,680 +Gauss، ذاكرين تكامل Gauss؟ لما كنا نقول التكامل + +230 +00:20:18,680 --> 00:20:26,440 +المغلق، إيه ضد الـ DS؟ بيساوي Q/ε₀، إيش + +231 +00:20:26,440 --> 00:20:34,690 +هذه؟ جزء من السطح، هذا تكامل مغلق، تمام. كيف بدنا + +232 +00:20:34,690 --> 00:20:39,710 +نجيبه؟ الـ Surface Integral، اللوح Surface ولا مش + +233 +00:20:39,710 --> 00:20:43,870 +Surface؟ طيب، بدي جزء منه. أنتو شايفينه مجسم معاه + +234 +00:20:43,870 --> 00:20:50,810 +مربعات، صح؟ هاي مربع، كيف هجيبه؟ إيش بيساوي دي؟ + +235 +00:20:50,810 --> 00:20:58,030 +أسألكم، ما هو إيش بدي إياها؟ بدلات الـ X و Y و Z، dx dy + +236 +00:20:58,030 --> 00:21:01,170 +dx dy + +237 +00:21:01,170 --> 00:21:03,650 +صح؟ + +238 +00:21:04,850 --> 00:21:09,450 +إذن هذا هو الـ DS. طيب، احنا الـ D هياها، من أين جبت + +239 +00:21:09,450 --> 00:21:13,130 +الـ dx dy؟ هادي فيها هادي، صح ولا لا؟ ضربت هادي فيها + +240 +00:21:13,130 --> 00:21:15,710 +هادي، طب بنفع تضرب هادي فيها هادي؟ بقول بنفع، + +241 +00:21:15,710 --> 00:21:18,170 +بنفع تضرب هادي فيها هادي؟ بقول بنفع، لأني عندي + +242 +00:21:18,170 --> 00:21:21,670 +ثلاث احتمالات، لأ، بضرب هادي فيها هادي، لهادي فيها + +243 +00:21:21,670 --> 00:21:25,930 +هادي، لهادي فيها هادي، صح ولا لا؟ طيب، خلّيني أنا + +244 +00:21:25,930 --> 00:21:30,190 +أرجع للغرفة، الغرفة three dimension ولا لأ؟ خلّيني + +245 +00:21:30,190 --> 00:21:36,060 +أن أنا زي ما احنا، هادي X و هادي Y، وين الـ z؟ هيو + +246 +00:21:36,060 --> 00:21:42,360 +بدي جزء من الأرض، dx + +247 +00:21:42,360 --> 00:21:51,520 +dz، dx dz، و هذه الحيطة dy dz، تمام؟ إذا أنا بجيب الـ + +248 +00:21:51,520 --> 00:21:57,120 +area من الـ dl ولا مش من الـ dl؟ تمام. طب الـ volume + +249 +00:21:57,120 --> 00:22:03,280 +كيف ده تكون؟ dv هي dx في dy في dz، يعني أنت تضرب + +250 +00:22:03,280 --> 00:22:06,900 +الثلاث مع بعضها، دول الـ volume. سهلة، أنا بقرا + +251 +00:22:06,900 --> 00:22:09,600 +spherical coordinates، بقولي بس اديني دي اللي + +252 +00:22:09,600 --> 00:22:11,900 +spherical coordinates، بجيب لك الـ surface و + +253 +00:22:11,900 --> 00:22:14,660 +بجيب لك الـ volume. ضربهم تلاتة مع بعض هي الـ volume + +254 +00:22:14,660 --> 00:22:17,360 +الشيء اللي الـ volume، spherical coordinates، مين + +255 +00:22:17,360 --> 00:22:22,800 +يتذكر؟ spherical coordinates، R² sin θ dθ dφ + +256 +00:22:22,800 --> 00:22:31,960 +dθ dφ dR. ما مرّش عليكم، مارّ؟ R² sin θ + +257 +00:22:31,960 --> 00:22:35,970 +اللي ما أخذوش رياضيات، من كل ما يكونوش مارّ عليهم إلا + +258 +00:22:35,970 --> 00:22:40,430 +في ما كانت الـ R² sin θ dθ dφ، تمام؟ هذي من وين + +259 +00:22:40,430 --> 00:22:46,590 +إجت؟ إجت من الـ dl، الـ dl هي عبارة عن dR باتجاه + +260 +00:22:46,590 --> 00:22:52,270 +الـ Ŕ و بعدين R sin θ باتجاه الـ θ، و بعدين + +261 +00:22:52,270 --> 00:22:58,350 +RdR و في R sin θ dφ، فلما تطلبهم...هنجيبها تفصيلاً + +262 +00:22:58,350 --> 00:23:01,750 +بس بقول لكم، إذا الـ dl لما تعطيني إياها، بقدر أجيب الـ + +263 +00:23:01,750 --> 00:23:06,720 +surface. هلجيت أنا عندي شغلتين؟ آخذ dx dy + +264 +00:23:06,720 --> 00:23:09,740 +ولا dy dz ولا dx dz، باعتمد على الـ + +265 +00:23:09,740 --> 00:23:11,640 +surface اللي برجع أختاره ولا لأ؟ تبقوا تقولوا + +266 +00:23:11,640 --> 00:23:14,140 +الأرض غير عن الحيطة هذه وغير عن الحيطة هذه، إذا + +267 +00:23:14,140 --> 00:23:17,000 +بدك تكون مُصاحب على أي surface بتعمل، عشان تجيب + +268 +00:23:17,000 --> 00:23:21,900 +عناصرها، شغلة ثانية، الـ direction، مش هنا، في عندي هنا + +269 +00:23:21,900 --> 00:23:28,500 +هنا vector هذي، إذا كيف اتجاه هذه الـ surface؟ كيف + +270 +00:23:28,500 --> 00:23:32,540 +الـ surface اتجاهها؟ مش اللي أخذنا المرة هذيك؟ عمودي + +271 +00:23:32,540 --> 00:23:37,580 +على السطح، عمودي على السطح. إذا دائماً الـ area عمودية + +272 +00:23:37,580 --> 00:23:41,460 +على السطح، وكمان شغلة، وبيقولي: و لا الخارج في + +273 +00:23:41,460 --> 00:23:45,560 +الأسطح المغلقة، عمودي ولا الخارج؟ ليش؟ بقولي: لو كان + +274 +00:23:45,560 --> 00:23:50,400 +السطح مفتوح زي ورقة، بقول: عمودي عليها. لأ عليكم، لأ عليّ، صح ولا لأ؟ لكن لما تكون هذا سطح + +275 +00:23:50,400 --> 00:23:54,560 +عبارة عن جزء من شغلة مغلقة، بقول: هذه لازم تكون هيك + +276 +00:23:54,560 --> 00:23:59,740 +للخارج، لا يمكن أن نعيش للداخل، للخارج، أعود + +277 +00:24:00,610 --> 00:24:04,470 +بدون هذا، هذه الغرفة، ليس مغلقاً ولا لا، تمام. السقف + +278 +00:24:04,470 --> 00:24:09,450 +كيف اتجاه الـ area؟ لفوق، لا يمكن أن نقول لتحت، + +279 +00:24:09,450 --> 00:24:16,370 +لتحت صارت للداخل، هذه الحيطة، برا، الأرض، لتحت، إذًا + +280 +00:24:16,370 --> 00:24:23,580 +عمودي وللخارج للأسطح المغلقة، للأسطح المغلقة، where + +281 +00:24:23,580 --> 00:24:30,120 +A is a vector function and ds is an infinitesimal + +282 +00:24:30,120 --> 00:24:35,600 +element of area. Again, if the surface is closed، + +283 +00:24:35,600 --> 00:24:40,400 +إذا كمان الـ surface is closed، بنحط إشارة الإغلاق، + +284 +00:24:40,400 --> 00:24:44,760 +بنحط إشارة الإغلاق التوجيهية. الـ DS هي مرتبطة بالطبق + +285 +00:24:44,760 --> 00:24:51,050 +والتوجيهية إلى الخارج لطبقات مغلقة، ومخصصة لطبقات + +286 +00:24:51,050 --> 00:24:58,350 +مفتوحة، زي سطح الاستدارة، زي سطح الكرة، سطح متوازن من + +287 +00:24:58,350 --> 00:25:04,490 +السطوح، مظبوط ولا لأ؟ المقصود، كل هذه السطوح + +288 +00:25:04,490 --> 00:25:08,210 +مغلقة، لأنه بتحول جواتها حجم، كل حاجة، كل سطح + +289 +00:25:08,210 --> 00:25:13,010 +بيحول جواته حجم، بيقول عنه سطح مغلق، بأيّ كان + +290 +00:25:13,010 --> 00:25:16,910 +شكله، وكيف بنعمل التكاملات؟ خلينا نشوف هنا مثال، على + +291 +00:25:16,910 --> 00:25:24,470 +السريع، يقول لي: هي عندك vector، إيه؟ equal to XZ + +292 +00:25:24,470 --> 00:25:31,790 +بالاتجاه I، plus X plus 2 بالاتجاه J، plus YZ² + +293 +00:25:31,790 --> 00:25:36,950 +minus 3 بالاتجاه K. ثم إيش بده فيه؟ بيقول: find the + +294 +00:25:36,950 --> 00:25:43,290 +surface integral of the vector over the five sides + +295 +00:25:43,290 --> 00:25:47,990 +of a cube of side two meters as shown in the + +296 +00:25:47,990 --> 00:25:52,910 +figure, excluding the bottom. هو المكعب كم سطح له؟ + +297 +00:25:52,910 --> 00:25:57,350 +ستة، بقول لك: أنا بدي أجيب له على خمسة. طب إيش بقي؟ إيش تستثنى؟ + +298 +00:25:57,350 --> 00:26:00,790 +قال: تستثنى الـ bottom، تمام؟ إذا بده الـ surface integral + +299 +00:26:00,790 --> 00:26:04,490 +على خمس أسطح، هذا + +300 +00:26:04,490 --> 00:26:09,630 +الأسطح، خليني أجيبهم واحد واحد. هذا السطح، شايفينه؟ + +301 +00:26:09,630 --> 00:26:13,450 +تمام، وهذا كم سطح؟ وهذا كمان سطح، وهذا كمان سطح اللي + +302 +00:26:13,450 --> 00:26:19,190 +عليكم، وهذا كمان سطح. الأرض اللي ما بدي إياها، وهذا + +303 +00:26:19,190 --> 00:26:24,090 +السطح الأخضر اللي بدي إياه، الـ top. إذا صار في عندي top + +304 +00:26:24,090 --> 00:26:29,690 +وفي عندي right، في عندي left، في عندي back، وفي عندي + +305 +00:26:29,690 --> 00:26:36,070 +front، والـ bottom ما بدي إياه، هو ما بده إياه. طيب، X و Y + +306 +00:26:36,070 --> 00:26:41,560 +و Z مبينين معاكم؟ X و Y و Z مبينين. طب، قبل ما نبدأ، + +307 +00:26:41,560 --> 00:26:46,720 +بدي الأخضر، شايفين الأخضر؟ الـ DS تبعته، إيش أكتبها؟ + +308 +00:26:46,720 --> 00:26:56,060 +الأخضر؟ + +309 +00:26:56,060 --> 00:27:00,180 +وين + +310 +00:27:00,180 --> 00:27:05,520 +الـ + +311 +00:27:05,520 --> 00:27:06,320 +dz هو؟ + +312 +00:27:11,540 --> 00:27:17,560 +dy dx، dy dx. ليش؟ أنتم كيف بتعملوه؟ بتاخدوا جزء من + +313 +00:27:17,560 --> 00:27:22,620 +الضلع هذا، إيش بيكون؟ dy، وجزء من الضلع هذا؟ dx + +314 +00:27:22,620 --> 00:27:29,660 +إذًا dy dx، صح ولا لأ؟ طيب، سؤالي، هلجيت الأحمر، طلع + +315 +00:27:29,660 --> 00:27:40,690 +عليه؟ dx dz، dx dz، مالكم؟ الـ dz، دي اللي هو أنا؟ الضلع + +316 +00:27:40,690 --> 00:27:46,370 +هذا، وين الضلع الثاني؟ هذا، هو هذا، إذا dx dz هو + +317 +00:27:46,370 --> 00:27:51,150 +صحيح ولا لأ؟ طبعاً، الأحمر والبني والأخضر والأصفر، زي بعض، واللي عليكم واللي باك، هو + +318 +00:27:51,150 --> 00:27:56,250 +عبارة عن dy dz. اتفهمنا؟ اتفهمنا. واحدة ما تشوف + +319 +00:27:56,250 --> 00:28:02,370 +الاتجاهات، واحدة واحدة، كمان مرة. ما بدي حد أن يصرح + +320 +00:28:02,370 --> 00:28:07,680 +يقولوا، يهزّ رأسه على الفاضي، احنا بنحكي شغلات سهلة + +321 +00:28:07,680 --> 00:28:13,640 +كلّكم اللي بتفهموها، كلّكم، بدون استعجال، لأنه + +322 +00:28:13,640 --> 00:28:18,280 +موضوع سهل جداً. for the top side، اللي هو اللي هو فيه + +323 +00:28:18,280 --> 00:28:29,760 +هو الأخضر، شايفينه، الأخضر. طيب، اتجاهه كيف؟ يعني + +324 +00:28:29,760 --> 00:28:35,630 +باتجاه الـ k، مظبوط ولا لأ؟ توجهنا عنه، dx dy. إذا بدي + +325 +00:28:35,630 --> 00:28:40,830 +أقول: الـ DS بيساوي dx dy، وحط جنبها k، صح ولا لأ؟ إذا + +326 +00:28:40,830 --> 00:28:46,710 +بقول: هيو هذا الأخضر، شايفينه؟ dx dy، تشوفوا بتشوفوا كيف؟ + +327 +00:28:46,710 --> 00:28:51,810 +لفوق، فكتبته هيك. في مشكلة في كتابته؟ لأن أنا في + +328 +00:28:51,810 --> 00:28:56,670 +النهاية بدي A ضد DS، بدي أعمل cross product، فبدي + +329 +00:28:56,670 --> 00:28:59,970 +الـ vector، هرجع هذا الـ vector، بدي أعمل cross product + +330 +00:28:59,970 --> 00:29:04,630 +مع هذا، هذا بيروح، وهذا بيروح، بيبقى بس هذا + +331 +00:29:04,630 --> 00:29:10,190 +لأن k ضد k هي الواحد، أما k ضد i هو zero، و k ضد j + +332 +00:29:10,190 --> 00:29:15,530 +هو zero. إذًا بيقول لي: هذه صارت فقط الثالثة. + +333 +00:29:17,850 --> 00:29:25,050 +dx dy dx dy، حلو. دي بقى كمكعب، طول ضلعه اثنين، يعني كله + +334 +00:29:25,050 --> 00:29:27,090 +من صفر لـ 2، من صفر لـ 2، من صفر لـ 2. + +335 +00:29:27,090 --> 00:29:32,910 +تكاملاتنا، تمام؟ حلو. طيب، في عندك Y، وفي عندك Z، وفي + +336 +00:29:32,910 --> 00:29:36,770 +عندك، وأنت بتكامل على الـ Z، إيش هنسوي في الـ Z هذه؟ + +337 +00:29:36,770 --> 00:29:41,270 +أجيب غلطة ولا ممكن تكون ثابتة؟ ونرجع للأخضر، + +338 +00:29:41,270 --> 00:29:45,710 +دائماً أنا بحب النمل، بتعرفوا النملة؟ جيبو نملة + +339 +00:29:45,710 --> 00:29:49,090 +وخلّوها تجري على الخط الأخضر، وخلّوا الـ Z تبعتها، قد إيش + +340 +00:29:49,090 --> 00:29:55,850 +وهي بتجري، بتغيّر Z؟ قد إيش Z تبعتها؟ 2، ليش بقول + +341 +00:29:55,850 --> 00:29:59,410 +بتجري النملة؟ يعني، جاية، دي بتجري، معناته الـ DS تبعتها + +342 +00:29:59,410 --> 00:30:04,450 +بتنتقل من DS لـ DS، صح؟ خلوها دي، دلّوها تمشي، طول ما + +343 +00:30:04,450 --> 00:30:08,920 +هي ماشية على الأخضر، Z تبعتها بتزيد أو بتنقص. إذا Z + +344 +00:30:08,920 --> 00:30:12,240 +بتساوي 2، طول ما أنا ماشي على القطعة الأخضر، على السطح + +345 +00:30:12,240 --> 00:30:16,800 +الأخضر. إذا بقول: but on the top side، طول ما أنت + +346 +00:30:16,800 --> 00:30:20,980 +ماشي على السطح الأخضر، قد إيش ممكن تحط محل Z؟ 2، مش + +347 +00:30:20,980 --> 00:30:31,210 +متغيرة، ثابتة. بحكي عربي؟ أكيد، تمام؟ خلاص. 2 + +348 +00:30:31,210 --> 00:30:36,110 +ربعها، كم صارت؟ 4، ناقص 3؟ 1 في Y، إذا + +349 +00:30:36,110 --> 00:30:43,060 +ما Y دي، X دي، Y، هادي هي dx. فصلها، والـ Y dy، دي dx، ما + +350 +00:30:43,060 --> 00:30:47,840 +هي دعوة، خلّيني أكمل، Y dy، إيش تكامل Y dy؟ Y²/2، و + +351 +00:30:47,840 --> 00:30:52,980 +طبعاً من 0 لـ 2، لأنه احنا بنشتغل كله تكامل، sorry + +352 +00:30:52,980 --> 00:30:58,000 +مكعب طوله 2، جالي. طلعتها، طبعاً هذه عبارة عن Y²/2، + +353 +00:30:58,000 --> 00:31:03,260 +عند الـ 2، هذه بتعطينا 2، وهذه بتعطينا 2، 2 في 2، 4، تمام يا + +354 +00:31:03,260 --> 00:31:09,480 +بنات؟ Y²/2، 4/2 ناقص + +355 +00:31:12,290 --> 00:31:19,250 +zero، فـ 2، وهناك 2، فبيطلع 4، كمان هذه خلصت. + +356 +00:31:19,250 --> 00:31:22,750 +السطح الأخضر، وبده خمس أسطح، السطح التحتاني، السطح + +357 +00:31:22,750 --> 00:31:26,690 +الأصفر ما تعملوش. for the right side، الـ right، الأحمر، + +358 +00:31:26,690 --> 00:31:33,750 +يعني يا بنات، اتفهمنا، قد إيش الـ ds؟ dx dz، dx dz. طب كيف + +359 +00:31:33,750 --> 00:31:39,800 +تيجيهم؟ j برا، j، إذا أنا لازم أكتبه كـ vector، عشان + +360 +00:31:39,800 --> 00:31:46,320 +أعمل cross product، هذا هو. يلا + +361 +00:31:46,320 --> 00:31:50,780 +نعمل cross product بينه وبين الـ vector، هيه بين هذا وهذا + +362 +00:31:50,780 --> 00:31:57,200 +الـ right، بيقول بس هذا، باخذ صحيح ولا لأ؟ هذا هو x + +363 +00:31:57,200 --> 00:32:04,060 +تربيع، زي 2 dx dz، هذي ما فيها غلب ولا حاجة، x dx و dz + +364 +00:32:04,060 --> 00:32:09,460 +ما هي يتيمة، ما فيش غيرها. اعمل تكاملها، بقول لك: أني + +365 +00:32:09,460 --> 00:32:13,880 +كملتها، خلّي الـ x لحالي، والـ dz لحالي، بفصلهم بس. هذي + +366 +00:32:13,880 --> 00:32:20,140 +x زي 2 dx، x²/2، زي 2x، وهذي dz، تكاملها z، هذي + +367 +00:32:20,140 --> 00:32:26,170 +بتعطيك 2، وهذي بتكامل تطلع عندك 12. أي استفسار؟ تكامل + +368 +00:32:26,170 --> 00:32:32,770 +عادي، إيش المشكلة؟ خلصت الـ right، هنجيء for the left، + +369 +00:32:32,770 --> 00:32:39,070 +إيش بيفرق عن الأحمر؟ بس الإشارة، بدل j؟ سالب j، صح + +370 +00:32:39,070 --> 00:32:45,050 +ولا لأ؟ تم؟ + +371 +00:32:45,050 --> 00:32:51,210 +في مشكلة يطلع سالب 12؟ ما هو بس بدل موجب ناقص، + +372 +00:32:51,210 --> 00:32:58,330 +ما فيش عندك مشكلة. حلو، أكمل، صار أربعة وثلاثة، تمام، for the + +373 +00:32:58,330 --> 00:33:07,670 +front، اللي عليكم، الـ front، إيش الـ ds تبعته؟ dy dz، + +374 +00:33:07,670 --> 00:33:18,350 +dy dz. كيف اتجاهه؟ اتجاه الـ i، dy dz + +375 +00:33:18,350 --> 00:33:22,470 +dy dz اتجاه الـ i، أعمل cross product، لأن أنت هنا + +376 +00:33:23,130 --> 00:33:30,010 +هذا في هذا، صح ولا لأ؟ dy، dz، و x هذي، إيه + +377 +00:33:30,010 --> 00:33:37,830 +يساوي فيها؟ كم قيمتها x؟ 2، 2، لأن هذا + +378 +00:33:37,830 --> 00:33:43,150 +إيه؟ هي x تبعتك، وأنت ماشي هيك، لا بتروح ولا بتيجي، + +379 +00:33:43,820 --> 00:33:51,020 +و x تبعتك 2، خلاص، صارت 4 dz dy dz. بجيء الـ x حطيت + +380 +00:33:51,020 --> 00:33:55,940 +2. but for the front side، x بيساوي 2، خلاص + +381 +00:33:55,940 --> 00:34:02,760 +طلعت 16. كملنا for + +382 +00:34:02,760 --> 00:34:10,320 +the back side، سالب 16. لأ، أنت هناك طلعت سالب 12، + +383 +00:34:10,320 --> 00:34:14,120 +بقت شانص، بس خلّيكي أنت عارفة، زي ما قلتِ for the + +384 diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/wpeuWIDDcfY_postprocess.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/wpeuWIDDcfY_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..8c5811f63608e2eab1a45440e3ba9ec15c9f0f9c --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/wpeuWIDDcfY_postprocess.srt @@ -0,0 +1,1536 @@ +1 +00:00:21,450 --> 00:00:26,970 +المثال التالت، ضال فيه إشي بسيط بعد ما احنا جبنا + +2 +00:00:26,970 --> 00:00:36,370 +شدة الجهد outside وطلع بهذه الصورة بعد ما طلعنا ال + +3 +00:00:36,370 --> 00:00:44,990 +piece أعتقد وبالتالي صار في عندنا الجهد بهذا الشكل + +4 +00:00:44,990 --> 00:00:51,730 +الآن واحنا قاعدينلما رسمنا الرسمة قلنا هاي المجال + +5 +00:00:51,730 --> 00:01:00,290 +الكهربائي و حطينا الكرة فالأصل أن هذا بيبطل منها + +6 +00:01:00,290 --> 00:01:04,650 +وبصير في عندنا شوية انحناء طبعا شغلة منطقية هذه + +7 +00:01:04,650 --> 00:01:08,110 +المجال الكهربائي اللي already موجود قلنا جاي من + +8 +00:01:08,110 --> 00:01:12,270 +مصدر خارجي الأصل أن يكون في عندك هنا positive وهنا + +9 +00:01:12,270 --> 00:01:18,160 +negativeتمام؟ هذه free عبارة عن مثل فبالتالي + +10 +00:01:18,160 --> 00:01:21,460 +المفروض يكون عندي هنا شحنات سالبة و هنا شحنات + +11 +00:01:21,460 --> 00:01:26,000 +موجبة هذه الشحنات التأثيرية اللي بنقول عنها زي لما + +12 +00:01:26,000 --> 00:01:28,920 +حطينا مجال كهربائي و حطينا لبلاد و قولنا هنا في + +13 +00:01:28,920 --> 00:01:32,640 +عندي سالب و هنا موجب بتولد مجال كهربائي عكس + +14 +00:01:32,640 --> 00:01:38,760 +الأولانيبعكس بعض بصير Zero إذا هذه الشحنات كيف بدي + +15 +00:01:38,760 --> 00:01:41,840 +أحسبها؟ كيف بدي أتأكد أنها موجودة ولا لا؟ احنا + +16 +00:01:41,840 --> 00:01:47,440 +توقعناها لأنها Free Electrons اتحركت بفعل المجال + +17 +00:01:47,440 --> 00:01:50,440 +الكهربائي على اعتبار أن هذه الـFree Electrons لها + +18 +00:01:50,440 --> 00:01:55,360 +قوة طوطة بالعلاقة F equal Q في الـE واتحركت وهذه + +19 +00:01:55,360 --> 00:01:59,420 +الكلام عملناها في الآخر طيب، أنا هاي عند الجهود، + +20 +00:01:59,420 --> 00:02:04,410 +بدي أجيب Sigma بدي أجيب Sigmaبقول let us now + +21 +00:02:04,410 --> 00:02:09,070 +calculate the charge on the sphere عشان نديم ال + +22 +00:02:09,070 --> 00:02:12,670 +charge on the sphere انا في عندى احد ال boundary + +23 +00:02:12,670 --> 00:02:19,810 +conditions المعروفة كنا نقول ان e1t بتسوي e2t و + +24 +00:02:19,810 --> 00:02:24,930 +e1n نقص e2n بتسوي sigma على epsilon note هدول + +25 +00:02:24,930 --> 00:02:29,190 +أخدناهم بال chapter الماضيالـ Normal component of + +26 +00:02:29,190 --> 00:02:32,310 +the electric field is not continuous لكن الـ + +27 +00:02:32,310 --> 00:02:35,530 +tangential components are continuous ليش مش + +28 +00:02:35,530 --> 00:02:37,730 +continuous؟ لأن أنا بقول إن كان فيه على السطح + +29 +00:02:37,730 --> 00:02:41,970 +شحنات تمام إذا أنا عارف أن هذا الطرف بقدر أجيب + +30 +00:02:41,970 --> 00:02:45,570 +sigma ولا بقدرش أجيب sigma؟ بقدر أجيب sigma Normal + +31 +00:02:45,570 --> 00:02:50,860 +هادي بالنسبة ليه؟ Normal على إيش هو؟عالسطح طب انا + +32 +00:02:50,860 --> 00:02:53,580 +ال normal زمان قلتلكم هذه ال normal في الآخر هتكون + +33 +00:02:53,580 --> 00:03:00,160 +اما I او J او Z مظبوط ولا او R او θ أو ف او اي + +34 +00:03:00,160 --> 00:03:05,180 +axis انا قاعد بستخدم اي coordinates الآن انا + +35 +00:03:05,180 --> 00:03:08,100 +بستخدم ال spherical coordinates هذه الكرة ايه ال + +36 +00:03:08,100 --> 00:03:12,760 +normal عليها اي coordinates؟ اللي هي ال spherical + +37 +00:03:12,760 --> 00:03:23,930 +coordinates ال Rالـ R إذا معناته E1R-E2R R هي الـ + +38 +00:03:23,930 --> 00:03:29,450 +R component of E طيب ال 1 هو ال out و ال 2 هو ال + +39 +00:03:29,450 --> 00:03:35,910 +in جديش E inside أنا بتعامل مع متل اسفيرزيرو إذا + +40 +00:03:35,910 --> 00:03:41,030 +معناته قولت بدل ال E قولت partial V على partial R + +41 +00:03:41,030 --> 00:03:46,970 +محطتش N حطت R تمام؟ و ال partial VN على partial R + +42 +00:03:46,970 --> 00:03:49,890 +اللي هي ده هتكون كلها زيرو لإن ال VN is constant و + +43 +00:03:49,890 --> 00:03:53,830 +اتفاضه زيرو زي ما انتوا عارفينعالس سطح جالي طب وين + +44 +00:03:53,830 --> 00:03:56,870 +V out؟ بتقول هي V out أنا جبتلك إياها V out صح ولا + +45 +00:03:56,870 --> 00:04:00,370 +لأ؟ طيب إيش بقيت تقو فيه؟ بتشتقوا بالنسبة لـR؟ في + +46 +00:04:00,370 --> 00:04:04,650 +حد ما عرفش اشتق؟ كنا بنعرفش اشتق يلّا نشتق but V + +47 +00:04:04,650 --> 00:04:08,810 +in is constant بمعنى آخر هذا روح إذا sigma لما + +48 +00:04:08,810 --> 00:04:15,210 +اشتقتها ده أنا عبارة عن E naught cosine of theta + +49 +00:04:15,940 --> 00:04:20,480 +بالسالب ناقص E NOT R Cos θ مظبوط ولا لا؟ بشتق + +50 +00:04:20,480 --> 00:04:25,760 +بالنسبة لـ R إذا E NOT Cos θ حلو التاني ناقص وناقص + +51 +00:04:25,760 --> 00:04:31,880 +هنا زائد مظبوط وهذه R تربيع هنا R وهنا R تكعيب R + +52 +00:04:31,880 --> 00:04:38,060 +تربيع إيش تفاضل واحد على R تربيع ناقص E NOT Cos θ + +53 +00:04:38,060 --> 00:04:50,130 +R تكعيب على R تكعيبR يعني نقص واحد زائد تمام؟ إذن + +54 +00:04:50,130 --> 00:04:57,890 +لأ R تكعيب مش هي R نقص اتنين إذا نقص اتنين R نقص + +55 +00:04:57,890 --> 00:05:05,580 +تلاتة تمام؟ وبالتاليهذه هي أخدت السالب عامل مشترك + +56 +00:05:05,580 --> 00:05:13,020 +فصارت عندي ناقص E0 E0 وcos θ عامل مشترك 2E0 r + +57 +00:05:13,020 --> 00:05:15,980 +تكعيب على small r تكعيب لكن أنا بحكي على السطح، + +58 +00:05:15,980 --> 00:05:19,760 +معناته small r بتكون بالسوء capital R منها طلعت + +59 +00:05:19,760 --> 00:05:25,300 +sigma على السطح طبعا واضح الآن يا بنات، sigma + +60 +00:05:25,300 --> 00:05:32,300 +uniform ولا بتعتمد على θ؟بتعتمد على ثيتا اذا سيجما + +61 +00:05:32,300 --> 00:05:37,300 +مشينو فور سيجما مشينو فور حلو ايش يعني مشينو فور + +62 +00:05:37,300 --> 00:05:40,280 +بيقول بتعتمد على ثيتا طب انا لما اتوي ان ارسمت + +63 +00:05:40,280 --> 00:05:47,220 +الرسمة هده هي عبارة سيجما بتساوي تلاتة ابسلون نوت + +64 +00:05:47,220 --> 00:05:55,640 +اي نوت كوصينت ثيتا تمام هدى سيجما لو نيجي نتطلع + +65 +00:05:55,640 --> 00:05:56,400 +على الرسمة احنا + +66 +00:05:59,860 --> 00:06:06,080 +بتقوللي هنا موجة وهنا سالب صح؟ طيب انت وين فيتها؟ + +67 +00:06:06,080 --> 00:06:09,320 +هاي ال Z-axis تبعك، هاي ال Z-axis و فيتها انت + +68 +00:06:09,320 --> 00:06:13,120 +دايما بتقوللي هي الزاوية اللي بيعملها مع ال Z-axis + +69 +00:06:13,120 --> 00:06:17,020 +مظبوط ولا لأ؟ طبعا احنا مشغل ال counter clock كويس + +70 +00:06:17,020 --> 00:06:25,330 +تمام اتطلعوا لما تكون فيك سفرلعندي الـ πاية اتنين، + +71 +00:06:25,330 --> 00:06:28,830 +هاي الـ باية اتنين، بتكون هنا، صح ولا لأ؟ من صفر + +72 +00:06:28,830 --> 00:06:32,810 +لباية اتنين، بتكون سيجما موجة بقى، طيب، بعديها + +73 +00:06:32,810 --> 00:06:35,190 +بصير الزاوية المنفرجة، مالديش كسان الزاوية + +74 +00:06:35,190 --> 00:06:40,680 +المنفرجة؟ سالبة، بتصير سالبةفهذه موجب وهذه سالب + +75 +00:06:40,680 --> 00:06:44,220 +طبعا هذه بتجي من الـ Phi بتلوف هيك تدري بركم ال + +76 +00:06:44,220 --> 00:06:48,060 +coordination عكست ال Phi بتلوف هيك فمن هال لهال + +77 +00:06:48,060 --> 00:06:52,300 +بتجي الخط الأحمر و من بيعتني ل باي بيجي السالب + +78 +00:06:52,300 --> 00:06:57,600 +بيجي السالب هذا بيعني أن الكرة نصها موجب و نصها + +79 +00:06:57,600 --> 00:07:01,260 +سالب طب سؤالي لكم لو بدي أكون بدي كل الكرة موجبها + +80 +00:07:01,260 --> 00:07:04,860 +بسالبها إيش لازم يطلع؟ لازم يطلع Zero إذا ال total + +81 +00:07:04,860 --> 00:07:10,470 +charge must be Zeroالـ Total Charge يجب أن تكون 0. + +82 +00:07:10,910 --> 00:07:16,370 +تمام. إذن الآن بعد ما أنا طلعت Sigma وعرفت إن + +83 +00:07:16,370 --> 00:07:22,430 +Sigma بتعتمد على Theta is not uniform، بدي أجيب + +84 +00:07:22,430 --> 00:07:26,490 +الـ Total Q. الـ Total Q. اطلع الـ Theta من وين و + +85 +00:07:26,490 --> 00:07:29,700 +وين اللي جبتها؟ من سيف اللا باي.لو من سفر إلى باية + +86 +00:07:29,700 --> 00:07:32,580 +عتنين تظهر موجة بقى لو من باية عتنين لباية تظهر + +87 +00:07:32,580 --> 00:07:36,360 +سالب بقى لكن من سفر إلى باية بيجيب كل تشارج هي + +88 +00:07:36,360 --> 00:07:41,480 +الاسفير دلت انتشارج بس انجزمت نصين نص موجة و نص + +89 +00:07:41,480 --> 00:07:45,840 +سالب لكن ال total charged لما جت كملت و احنا بنعرف + +90 +00:07:45,840 --> 00:07:51,960 +هذه sigma إذا ال Q بيساوي تكامل sigma DS وهذه + +91 +00:07:51,960 --> 00:07:53,720 +عبارة عن R تربيع + +92 +00:07:58,800 --> 00:08:05,560 +Cos فحصل عندك تكامل sin θ cos θ d θ من صفر ل باى + +93 +00:08:05,560 --> 00:08:11,860 +طبعا هذه sin تربيع الثتة ع اتنين من صفر ل باى + +94 +00:08:11,860 --> 00:08:18,140 +اعملوها احكي يا نور التكامل + +95 +00:08:23,420 --> 00:08:26,700 +انت محتاج انه sin θ وcos θ بتساوي sin تربيع اتنين، + +96 +00:08:26,700 --> 00:08:34,060 +مظبوط او لا؟ طبعا، حلو sin θ بتساوي u اذا cos θ dθ + +97 +00:08:34,060 --> 00:08:39,120 +بتساوي du، في مشكلة عجيب؟ طبعا، اذا cos θ dθ هي دي + +98 +00:08:39,120 --> 00:08:45,600 +du، وهي دي u، ايش تكامل u دي u؟ u تربيع اتنين ال u + +99 +00:08:45,600 --> 00:09:01,460 +شية sin θ، اذا صار sin تربيع اتنيننفس النتيجة نفس + +100 +00:09:01,460 --> 00:09:06,760 +النتيجة تمام فطلعت Zero زي ما أنا متوقع زي ما أنا + +101 +00:09:06,760 --> 00:09:11,880 +متوقع تمام هذا تكملت المثال المثال الأخير على + +102 +00:09:11,880 --> 00:09:18,520 +Laplace equation يقول ليه؟السفير يتنطق كثيرًا + +103 +00:09:18,520 --> 00:09:22,780 +دائمًا ها هي عندك السفير الـ Charge Density سيجما + +104 +00:09:22,780 --> 00:09:28,980 +جالي مش Uniform تعتمد على سيطة is aglode رزقتها + +105 +00:09:28,980 --> 00:09:32,820 +يعني حطيتها on the surface of a spherical shell + +106 +00:09:32,820 --> 00:09:35,580 +إيه الـ spherical shell اللي خمونا فيه؟ كل الشباتر + +107 +00:09:35,580 --> 00:09:40,740 +بنطق Chapter 2 تتنطق Of radius capital R find the + +108 +00:09:40,740 --> 00:09:44,870 +potential inside and outside the sphereبدي inside + +109 +00:09:44,870 --> 00:09:52,050 +and outside this thing تمام spherical shape من جوا + +110 +00:09:52,050 --> 00:09:58,070 +فاضي ليش بدي المجال جوا بدي جهود جوا بدي اثبتليش + +111 +00:09:58,070 --> 00:10:03,350 +شغل معينة هجيت لو انا بدي اطبق قانون gauss جوا قدش + +112 +00:10:03,350 --> 00:10:11,970 +المجال؟ zero بقدر اطبق قانون gauss عليهابتدا لأن + +113 +00:10:11,970 --> 00:10:14,890 +الـ Sigma مش Uniform طبعا مش Uniform كيف؟ طب أنت + +114 +00:10:14,890 --> 00:10:19,290 +جابتلنا قبل كده رو مش Uniform وحلت عليها قانون + +115 +00:10:19,290 --> 00:10:22,870 +جاوس ليش؟ + +116 +00:10:22,870 --> 00:10:27,390 +هناك كانت تعتمد على R وفكرة قانون جاوس إيش بتقول؟ + +117 +00:10:27,390 --> 00:10:31,510 +بتقول أنت هالسفير أنت بتعمل سطح جاوس ولا لا؟ سطح + +118 +00:10:31,510 --> 00:10:36,150 +جاوس طول ما أنت ماشي ممنوع .. ميتتغيرش المجال صح؟ + +119 +00:10:36,780 --> 00:10:40,860 +عالسطحك هي أصل قانون Gauss ليش أنا بجوب كل هالخواص + +120 +00:10:40,860 --> 00:10:46,240 +عشان لما اي طلب اطبق E.ds أو Q enclosed على E نوت + +121 +00:10:46,240 --> 00:10:49,400 +هاد اقدر نطلعها بره التكامل E لازم تكون ثابت على + +122 +00:10:49,400 --> 00:10:53,320 +مين على سطح الجاوس اللي اخترته تمام؟ لما كنت اعتمد + +123 +00:10:53,320 --> 00:10:58,020 +على R فانت في سطح الجاوس بتتغير R تبعدك؟تتغيرش، + +124 +00:10:58,020 --> 00:11:01,820 +إذا كلها ماشي حالها، لكن لما تعتمد على ثيتا، إيش + +125 +00:11:01,820 --> 00:11:05,660 +يعني ثيتا؟ بيقول إيه يعني هنا، غير عن هنا، غير عن + +126 +00:11:05,660 --> 00:11:09,860 +هنا، غير عن هنا، مش أي ثيتا؟ إذا معناته هل هان إي + +127 +00:11:09,860 --> 00:11:14,840 +constant؟ لأ، لأن أنت مضبوط على أبعاد متساوية، بس + +128 +00:11:14,840 --> 00:11:17,900 +اللي .. اللي بيجابلك جاعدة شحنات مختلفة، اللي + +129 +00:11:17,900 --> 00:11:22,060 +بيجابلك شحنات مختلفة، وبالتالي قانون جاسم مفهش هنا + +130 +00:11:22,860 --> 00:11:27,060 +بنفعش إلا إذا كانت Sigma إما constant أو تعتمد على + +131 +00:11:27,060 --> 00:11:31,320 +R لما تعتمد على R بدرنيش لأنه أنا تنظر مرايا في + +132 +00:11:31,320 --> 00:11:37,220 +السطح بكون ثابتة و أرحل هذه النقطة دخلت المعلومة + +133 +00:11:38,400 --> 00:11:43,680 +انه انا قانون gauss بتبقى بشرط ان E تكون constant + +134 +00:11:43,680 --> 00:11:47,220 +على السطح اللى بختاره السطح اللى بختاره هو الكرة + +135 +00:11:47,220 --> 00:11:52,460 +سطح كراوي R تبعته ثابتة لما تكون سيجما او روتا + +136 +00:11:52,460 --> 00:11:57,460 +تعتمد على R بضرنيش بيضلوا ثابت على سطحي لأنه انا R + +137 +00:11:57,460 --> 00:12:02,820 +ثابتة لكن اذا بعتمد على ثيتا او بعتمد على في مشكلة + +138 +00:12:02,820 --> 00:12:06,360 +لان طبعا انت على السطح ما هو ثيتا في بتتغيروانت + +139 +00:12:06,360 --> 00:12:10,880 +على السطح ايش هو ثابت؟ بس اه لكن θ أو ف بتتغير اذا + +140 +00:12:10,880 --> 00:12:14,600 +كان ال sigma او ال raw او ال charge in general + +141 +00:12:14,600 --> 00:12:19,640 +تعتمد على θ او على في معناته انت متتعاملش مع مجال + +142 +00:12:19,640 --> 00:12:22,920 +ثابت ومتقدرش تطلعه برا التكامل بالتالي قانون جاوس + +143 +00:12:22,920 --> 00:12:28,380 +لا تستطيع انك تطبقه تمام الان بتدعي طريقة غير جاوس + +144 +00:12:29,130 --> 00:12:32,350 +طبعا واحد بيقول طب بنفقد تستخدم قانون كلهم بيقولوا + +145 +00:12:32,350 --> 00:12:36,710 +اه بس كلهم كتير طويل و بيغلب يخلينا نعمل كيف ممكن + +146 +00:12:36,710 --> 00:12:40,370 +احنا انه مش عايزا تقول اه بتكون فادر و كيف ممكن + +147 +00:12:40,370 --> 00:12:46,290 +تتغيرها احنا بتقولش اه هو انا لما بدي اقول لما كنت + +148 +00:12:46,290 --> 00:12:50,390 +أحلق قانون جاوس جالي بعد ما تشوف الشكل ينطبق عليه + +149 +00:12:50,390 --> 00:12:53,650 +قانون جاوس ولا .. بتختار سطحالسطح اللي بتختاريه ما + +150 +00:12:53,650 --> 00:12:57,150 +يزيّن الجسم المشحون؟ هيجيب أن الجسم المشحون قُرأ، + +151 +00:12:57,150 --> 00:13:02,150 +بديك تختار سطح جوّس أيش؟ قروي، تمام؟ قروي، هل في + +152 +00:13:02,150 --> 00:13:06,750 +السطح القروي R ممكن تتغير؟ لأ، إذا؟ بدي اتغير شكل + +153 +00:13:06,750 --> 00:13:11,130 +السطح اللي بديكي ياه، و بدي يتغير مع هديك فيه، + +154 +00:13:11,130 --> 00:13:13,830 +العملية صعبة كثير، إذا انت السطح جوّس اللي + +155 +00:13:13,830 --> 00:13:20,510 +اختارتيه R تبعت ثابتة، تمام؟فعشان كده بقول إذا رو + +156 +00:13:20,510 --> 00:13:23,470 +أو سيجما أو الـ charge in general تعتمد على R + +157 +00:13:23,470 --> 00:13:29,210 +بتضرنيش لإن أنا R مش مغيرها تمام؟ تعمل فبيقولي هذه + +158 +00:13:29,210 --> 00:13:33,250 +الكرة وهذه الـSigma Note حلو الآن هو بيقولي أنا + +159 +00:13:33,250 --> 00:13:38,210 +بدي منك جوه جوه مرة حسب المطلوب حلو فإيش بدك؟ + +160 +00:13:38,210 --> 00:13:41,390 +بقولي أنا ببدألك من هذا الحل ليه؟ هذا الحل + +161 +00:13:41,390 --> 00:13:45,930 +الـdifferential equation الليمطلوب مننا بس نقول + +162 +00:13:45,930 --> 00:13:50,810 +والله صار مألوف و أكتر من كده بديش فزي ما اتفقنا + +163 +00:13:50,810 --> 00:13:55,730 +انا اللي مطلوب منكم فقط انه هذا الحل يصير مألوف + +164 +00:13:55,730 --> 00:14:02,270 +لكم بغض النظر من وين اجا لأنه من وين اجا جثة وصلت + +165 +00:14:02,270 --> 00:14:05,010 +لكم خمسة في المية عشرة في المية مش عارف قديش وصلت + +166 +00:14:05,010 --> 00:14:09,440 +لكم مش لكم .. للي .. للي هناك مش لكم يا جماعةبقى + +167 +00:14:09,440 --> 00:14:13,520 +انا عارف مش جمانه بس اكتر من جمانه و نسمع لكن في + +168 +00:14:13,520 --> 00:14:18,580 +النهاية الباقين لو وصل 5% من الفكرة مش خضية انه + +169 +00:14:18,580 --> 00:14:22,220 +هذه معادلة تفضلية و حليتها و هيحلها و أملنا بحلها + +170 +00:14:22,220 --> 00:14:25,680 +بس انتوا إذا كان في عندكم رواجة إذا انتوا رايجين + +171 +00:14:25,680 --> 00:14:29,480 +يعني انه تشوفوا هذا بيحققوا المعادلة هديكوا ولا لأ + +172 +00:14:29,480 --> 00:14:35,140 +سهل تعملوها مش انتوا برضه طلعيش نسمع دب عليها تمام + +173 +00:14:35,140 --> 00:14:39,730 +تمامالـ Boundary Conditions للشياطين أنا الآن بدي + +174 +00:14:39,730 --> 00:14:45,570 +جوا و برا نبدأ باللي جوا .. اللي جوا عيش الحدودسفر + +175 +00:14:45,570 --> 00:14:49,790 +و capital R هجيت اتعودنا عند السفر في عندي معلومة + +176 +00:14:49,790 --> 00:14:53,870 +فيزيائية بيقول V ممنوع تكون ملانهاية صح ولا لأ؟ + +177 +00:14:53,870 --> 00:14:58,630 +اذا الـR بتساوي سفر V ان لا تساوي ملانهاية هلجيت + +178 +00:14:58,630 --> 00:15:02,570 +هذه الكرة موجودة في مجال أصلا ولا لأ؟ مش موجودة في + +179 +00:15:02,570 --> 00:15:06,190 +مجال أصلا، اذا المجال جاي من سجمتها عند الملانهاية + +180 +00:15:06,190 --> 00:15:08,990 +V out، جديش لازم تكون؟ فانت عليه، شايفوا الفرق ما + +181 +00:15:08,990 --> 00:15:13,830 +بين المثالين؟ تمامطبعا، انكمل، بس للحدود، بقولي + +182 +00:15:13,830 --> 00:15:16,410 +اتقار بالسوق، هبتقار، ماجالليش شيء، جاللي جديش + +183 +00:15:16,410 --> 00:15:19,950 +الجودة على السطح، ماجالليش شيء، اذا انا بقول، بقعد + +184 +00:15:19,950 --> 00:15:24,210 +بالذكة، بقوله، طب انت قلتلي دائما عندي، على السطح، + +185 +00:15:24,210 --> 00:15:27,210 +V-in بيساوي V-out ولا لا، وانت تطلبلي V-in و V + +186 +00:15:27,210 --> 00:15:31,070 +-out، حطها، تشوف تلزم ولا تلزمش، هجيت خلصنا من + +187 +00:15:31,070 --> 00:15:34,310 +الـin، عند Argos، ثم لنهاية، جديش يا نور؟ كنا + +188 +00:15:34,310 --> 00:15:38,410 +اتفقنا؟ Zero، غير عن السؤال هداك، لأن هداك السؤال + +189 +00:15:38,410 --> 00:15:42,850 +كان موجود في مجال كهربائيو بعدين يقولون لي طب انت + +190 +00:15:42,850 --> 00:15:46,770 +حضرتلي سيجما حضرتلي سيجما دور على ال boundary + +191 +00:15:46,770 --> 00:15:50,210 +conditions لجيتها ال boundary conditions الحلوة + +192 +00:15:50,210 --> 00:15:52,950 +بتقول partial v out على partial a نقص partial v in + +193 +00:15:52,950 --> 00:15:55,770 +على partial a توي استخدمته انا ال a بساوي ال sigma + +194 +00:15:55,770 --> 00:16:00,190 +على epsilon note حطيته مانك + +195 +00:16:02,430 --> 00:16:06,450 +والله موجود، مش معطى، هيو كده و .. أدّيك إياها + +196 +00:16:06,450 --> 00:16:10,470 +حقًا، يمكن تذكري هيك اتنين N نقص ا واحد N + +197 +00:16:10,470 --> 00:16:15,310 +بالثانوية نقص الـ Sigma على الـY نوت، ذاكرا؟ هيو + +198 +00:16:15,310 --> 00:16:20,470 +هو، هذا من وين جيبته؟ مش E بالثالث سلب دي للـV؟ + +199 +00:16:20,470 --> 00:16:25,450 +هيو فهذا مش معطى، الـBoundary Conditions مش معطيات + +200 +00:16:25,450 --> 00:16:30,660 +الـBoundary Conditions كل السؤاللأن البعض كده + +201 +00:16:30,660 --> 00:16:36,260 +بيضلوا رياضيات شوية technique تمام جالي حلو و هاي + +202 +00:16:36,260 --> 00:16:40,660 +الحل دي بالكم أنا هذا حل عبارة عن double حل لل in + +203 +00:16:40,660 --> 00:16:44,300 +في هذا الحل و لل out هذا حل بمعنى أخر انا بدي ال + +204 +00:16:44,300 --> 00:16:49,560 +in هاي حلي و ال out هاي حلي تمام نبدأ بقولي from + +205 +00:16:49,560 --> 00:16:52,700 +the first condition نبدأ في ال V in مش انت بتقوللي + +206 +00:16:52,700 --> 00:16:56,120 +عند السفر ممنوع يكون لنهاية ايش ال term اللي + +207 +00:16:56,120 --> 00:17:01,450 +بغلبك؟إيش اللي بتطلعلك ملا نهاية؟ اللي هو فيهم، + +208 +00:17:01,450 --> 00:17:08,370 +الأول ولا التاني اللي في الجواز؟ بدأ أحط .. الهادة + +209 +00:17:08,370 --> 00:17:12,350 +.. انا بدأ أحط .. sorry .. اه اه .. بدأ أحط صفر يا + +210 +00:17:12,350 --> 00:17:17,070 +نسمة، بدأ أحط صفر هدف بتديني؟ ملا نهاية، إذا + +211 +00:17:17,070 --> 00:17:22,490 +الهادة بنقضني ولا لا؟ إذا معناته هدا، روحه، إذا إن + +212 +00:17:22,490 --> 00:17:28,370 +.. إيش حلو؟ هدف هدا، بس، مظبوط ولا لا؟ إن ..إذا + +213 +00:17:28,370 --> 00:17:36,150 +بيقوللي هاي ال VIN هاي ال VIN أجاف، + +214 +00:17:36,150 --> 00:17:41,690 +تبلعوش، إش + +215 +00:17:41,690 --> 00:17:50,450 +اللي مش واضح، نسمع جمعت؟ + +216 +00:17:53,330 --> 00:17:56,650 +عشانه متفقش .. ليش بتطيري .. ليش بتطيري .. ليش + +217 +00:17:56,650 --> 00:18:03,350 +بتطيري الحل الزمن السالب؟ لأنه لا يتفق مع المثالة + +218 +00:18:03,350 --> 00:18:08,070 +أنت بتقولي عند R بتساوي 0 جديش ال V لازم يكون، + +219 +00:18:08,070 --> 00:18:10,930 +مايسويش ملا نهاية، طب هدا بدي ملا نهاية، اهو + +220 +00:18:10,930 --> 00:18:13,990 +مقلبني، الله سهل علي، هدا حال رياضي، لكن مش حال + +221 +00:18:13,990 --> 00:18:17,750 +فيزيائي، روح، انا عندي حلين، واحد يتفق وواحد لا + +222 +00:18:17,750 --> 00:18:24,390 +يتفق، بروح اللي مش متفق، ليش مكشرة؟ احكيكشريش، + +223 +00:18:24,390 --> 00:18:32,850 +منرجع، إذا مش عاجبك، أكيد، تمام، حلو، طيب، نجي + +224 +00:18:32,850 --> 00:18:37,910 +لهذا، إيش بقول هذا؟ عندي المنى نهاية، كدهش لازم + +225 +00:18:37,910 --> 00:18:42,610 +الجواب يطلع؟ Zero، والله هذا ما حلو، هذا متفق + +226 +00:18:42,610 --> 00:18:47,950 +معايا، هذا متفقبتفتش هذا .. حطه .. حطه من النهاية + +227 +00:18:47,950 --> 00:18:50,410 +.. بتطلع من النهاية .. طب و أنت بتقولي ممنوع اطلع + +228 +00:18:50,410 --> 00:18:52,870 +من النهاية .. لازم نروح من الـ Zero .. اذا هذا + +229 +00:18:52,870 --> 00:19:06,530 +الحل لل Out ممنوع يكون .. تمه .. IV Out .. + +230 +00:19:06,530 --> 00:19:11,280 +احكي يا جمانا .. اكيد .. حين ..جالي هالجد ضايل + +231 +00:19:11,280 --> 00:19:15,400 +عندك A L و B L طبعا تنسوش أنه هو الأصل أنه لما + +232 +00:19:15,400 --> 00:19:20,780 +أقول V in هادي B L اللي روحت و أعتبرتها سفر غير عن + +233 +00:19:20,780 --> 00:19:26,400 +B L هادي هادي B L لل in للسفر و A L لل out هي + +234 +00:19:26,400 --> 00:19:29,760 +السفر لأنه هدوت حالين يعني الأصل اللي نقوله هي حل + +235 +00:19:29,760 --> 00:19:34,880 +هادي لل in أقول هادي A و B لل out أحط شرطة و شرطة + +236 +00:19:34,880 --> 00:19:35,720 +فهمتوا عليا كيف؟ + +237 +00:19:39,870 --> 00:19:45,810 +بالنسبة للأولاني ال B طلعت + +238 +00:19:45,810 --> 00:19:52,810 +السفر وال A دلت التاني ال A شرطة السفر وال B شرطة + +239 +00:19:52,810 --> 00:19:57,090 +دلت بس عشان هنا مافيش ل A و هنا مافيش ل B جمت + +240 +00:19:57,090 --> 00:20:00,280 +الشرطاتأما الأصل هيك، يعني لو حد يقولي طب انت طالع + +241 +00:20:00,280 --> 00:20:03,020 +وضاعت ال P، ليش خليتها؟ لأ، هدي ال P غير عن هدي ال + +242 +00:20:03,020 --> 00:20:07,620 +P هديك ال P لل in و هدي ال P لل out فهدي A و هدي B + +243 +00:20:07,620 --> 00:20:11,160 +و في عندك A شرطة و B شرطة لأن هدول حلين، سؤالين + +244 +00:20:11,160 --> 00:20:16,700 +مرة in و مرة out تمام، خلصنا، إذن أنا في عندي ضاين + +245 +00:20:16,700 --> 00:20:21,020 +ثابتين يعني الأصل هنا في السؤال بداية ال .. + +246 +00:20:21,020 --> 00:20:27,350 +كونستان كان مطلوب مني أطلعه أربعةA وB للـIn وA وB + +247 +00:20:27,350 --> 00:20:32,670 +للـOut فهمت عليها؟ من أول مرة جمت الـB تبعتي الـIn + +248 +00:20:32,670 --> 00:20:39,810 +والـA تبعتي الـOut فضل عندي A للـIn وB للـOut بديش + +249 +00:20:39,810 --> 00:20:43,550 +أجيب شرطات لأنه ما بطر فيه داعي للتداخل تمام؟ أيش + +250 +00:20:43,550 --> 00:20:51,440 +ضاير عليك؟ براو عليك انت بيجي تقولولي أي شرط؟الـ + +251 +00:20:51,440 --> 00:20:56,340 +Out يا هدا طلع إيش كتب .. التالت شفاه؟ لما Argos + +252 +00:20:56,340 --> 00:21:01,240 +ثمانه نهاية إيش لازم يجيب وبيطلع؟ شفاه؟ طيب هذو + +253 +00:21:01,240 --> 00:21:06,760 +كان الحل فوق شفاه؟ حطي Argos ثمانه نهاية إيش اللي + +254 +00:21:06,760 --> 00:21:10,580 +بغلبك؟ بده يطلع .. بده .. الحد التاني بيظبط معاك + +255 +00:21:10,580 --> 00:21:16,320 +ولا لأ؟ الحد التاني طلع حطي ثمانه نهاية؟ + +256 +00:21:16,320 --> 00:21:21,100 +ضبط الأول؟روحت الـ is عشان ما تظبط الحد الأول إذا + +257 +00:21:21,100 --> 00:21:25,460 +الـ is روحت إيش دلت؟ الـ B إذا أن الـ A في الـ out + +258 +00:21:25,460 --> 00:21:29,080 +روحت أما الـ B دلت لأن الـ B بتظبط معاه أما الـ A + +259 +00:21:29,080 --> 00:21:32,760 +ماكانش ظبط هكذا، هيدلوا، حطي R جزء من النهاية تطلع + +260 +00:21:32,760 --> 00:21:36,740 +معاك Zero ولا لأ؟ فاللي دلت، دلت، إذا انها صحيح + +261 +00:21:36,740 --> 00:21:40,260 +أما الأولاني لو دلوا، بيروحش Zero بس من النهاية + +262 +00:21:40,260 --> 00:21:46,550 +يعني لو دل الأولاني هذاوماضيعتش وبدي أحط محلي ال R + +263 +00:21:46,550 --> 00:21:50,870 +ملا نهاية بتطلع السفر؟ بتطلع السفر، إذا هذا حلم + +264 +00:21:50,870 --> 00:21:57,830 +صحيح بلغيه، بيتناقض مع ال powder condition تبعه + +265 +00:21:57,830 --> 00:22:06,250 +نور + +266 +00:22:06,250 --> 00:22:06,870 +بلعب برضه + +267 +00:22:12,570 --> 00:22:15,330 +الان لنرى ماهي الـ Boundary و كل شيء قال لي ايش + +268 +00:22:15,330 --> 00:22:20,090 +طلع عندك ايش عندك؟ بس بتقوللي in و out بيسووا بعض + +269 +00:22:20,090 --> 00:22:23,570 +عند R بيسووا capital R يلّا هايل in و هايل out + +270 +00:22:23,570 --> 00:22:28,370 +سويهم بعض بشرط small r ايش سوى؟ capital R هو اول + +271 +00:22:28,370 --> 00:22:33,630 +طبعا هذه summation وهذه summation بيروح الصماشين + +272 +00:22:33,630 --> 00:22:37,950 +مع بعض دي بتقيم تعلاقة بين ال A و ال B صح ولا؟ + +273 +00:22:37,950 --> 00:22:44,270 +تمامطبعا خلال هذا هي هذه R وهذه BL وهذه BL فبسهولة + +274 +00:22:44,270 --> 00:22:51,390 +بقدر أعمل هيك راحت ال BL بل فصرت AL R أُس L بتساوي + +275 +00:22:51,390 --> 00:22:58,150 +BL أو RL بلس وان جسم أو أضرب في R أُس L بلس وان + +276 +00:22:58,150 --> 00:23:03,990 +فصرت بل علقتها مع ال AL صحيح؟ هذه علاقة ال AL في + +277 +00:23:03,990 --> 00:23:09,350 +ال BL تمامأيه ضايل عليك؟ ضايل عليك بسباوندر + +278 +00:23:09,350 --> 00:23:16,190 +condition الموجود اللي هو هذا بدك تفاضل الـOut و + +279 +00:23:16,190 --> 00:23:20,670 +تفاضل الـIn هذه الـOut بفاضله وهذه الـIn بفاضله + +280 +00:23:20,670 --> 00:23:26,690 +تلعبوا كيف بده تفاضل؟ هذا تفاضله L R أس L minus + +281 +00:23:26,690 --> 00:23:31,850 +one مظبوط هيك؟ طيب يلّا نفاضل هذا هذا عبارة عن + +282 +00:23:31,850 --> 00:23:45,320 +ناقص L plus one R أسL هو بيصير plus two ثمانية + +283 +00:23:45,320 --> 00:23:49,180 +ثم بحط بدل اسمه R capital R إذا بفاضل الأول و + +284 +00:23:49,180 --> 00:23:55,130 +بفاضل التاني و بساوي أي نفضلتهL plus one are all + +285 +00:23:55,130 --> 00:23:59,190 +plus two وهذه L are L minus two بL cosine of theta + +286 +00:23:59,190 --> 00:24:04,330 +بتساوي سجما اللي تعطيتني إياها فضلت و بعدين حطيته + +287 +00:24:04,330 --> 00:24:06,550 +small r بتساوي capital R لأن هذه boundary + +288 +00:24:06,550 --> 00:24:09,310 +condition عند ال boundary بتكون فلازم small r + +289 +00:24:09,310 --> 00:24:14,030 +تساوي capital R حلو الآن + +290 +00:24:15,640 --> 00:24:19,780 +لما اجيت اعملت انا بس قرأت بالامور قرأت بالامور + +291 +00:24:19,780 --> 00:24:22,720 +ايش بدي اقرأت بالامور قال لي انت عندك PL و هنا AL + +292 +00:24:22,720 --> 00:24:27,740 +و انت توجهيل ال PL اللي هو رقم ال AL فأوّد بقى ال + +293 +00:24:27,740 --> 00:24:35,660 +PL هادي حط AL و R وسط 2 ال ال plus one مش هنياكحلو + +294 +00:24:35,660 --> 00:24:42,200 +فصار عندك هذه ال plus one و هنا ال ناقص ناقص ال + +295 +00:24:42,200 --> 00:24:47,640 +plus one و ال بالنسبة لي كل عامل مش شراك ال و ال + +296 +00:24:47,640 --> 00:24:55,100 +اتنين ال plus one a l r هذه اتنين ال plus oneناقص + +297 +00:24:55,100 --> 00:25:01,580 +L ناقص 2 هذي بتروح فوق 2L ناقص L L واحد ناقص اتنين + +298 +00:25:01,580 --> 00:25:06,100 +ناقص واحد وهذه ال P L كوسينة ثيتا قال لي هيك حلوة + +299 +00:25:06,100 --> 00:25:12,380 +ليش بدي انا اذا جيبت AL بقدر اجيب P L اه كيف بدي + +300 +00:25:12,380 --> 00:25:17,210 +اجيب ال A L هو دي دوة صمشي يعنيبدي أرجع للـ Delta + +301 +00:25:17,210 --> 00:25:23,470 +إذا أضرب لطرفي المعاجلة في P الشرطة و كامل و + +302 +00:25:23,470 --> 00:25:29,190 +استخدم ال orthogonality formula اعملت كل اللي بدك + +303 +00:25:29,190 --> 00:25:32,090 +إياه طبعا بس أنا غيرت اليمين مع الشمال مش مشكلة + +304 +00:25:32,090 --> 00:25:38,290 +كامل قلت له هذه بتطلع لك Delta ل الشرطة هذه ال + +305 +00:25:38,290 --> 00:25:42,950 +Delta ضيعت هذه ال summation فصارت عندك طلعتها + +306 +00:25:43,840 --> 00:25:54,180 +ومتالي طلعتلك AL في تكامل هذا التكامل اللي بقدر + +307 +00:25:54,180 --> 00:25:58,680 +أعملكيا بسهولة إذا قلتلي sigma جدش بتساوي صح ولا + +308 +00:25:58,680 --> 00:26:07,060 +لأ؟ إذا sigma ثابتة بتحط محلها K في B0في B0 إذا + +309 +00:26:07,060 --> 00:26:11,100 +كانت ثابتة كي بس كي في واحد يعني والواحد هو بي سفر + +310 +00:26:11,100 --> 00:26:14,820 +إذا سيجما بدك تديني عضة أخديني إياها و بحاول + +311 +00:26:14,820 --> 00:26:18,940 +أكتبلك إياها بدلالة ال بيس تمام بيقولي for + +312 +00:26:18,940 --> 00:26:25,640 +instance مثال if سيجما هادي بدك إياها ككسين الثيتا + +313 +00:26:25,640 --> 00:26:30,300 +بقول كسين الثيتا مش هي B1مش هي P1؟ اكتبها بدي دلّا + +314 +00:26:30,300 --> 00:26:36,060 +لك الـ P1 إذا بدي الهادي الآن بدي أحط P1 وهدي بيقل + +315 +00:26:36,060 --> 00:26:45,400 +شرطة بيصير Delta L واحد Delta L واحد فبتصير هدي + +316 +00:26:45,400 --> 00:26:53,160 +هي .. هي إيه إيه؟ طيب هدي هيهااللي بقى جيبتها من + +317 +00:26:53,160 --> 00:26:57,200 +المُعطى إليه اللي هو الـ Orthogonality Equation + +318 +00:26:57,200 --> 00:27:03,600 +قال لي هيك أحلوة دلت L واحد وهي AL بقولك A صفر + +319 +00:27:03,600 --> 00:27:08,760 +جداش هتطلع معاك؟ صفر و A اتنين؟أذا اي واحد بتطلع + +320 +00:27:08,760 --> 00:27:12,000 +على الكلمة ولا لا؟ بس اي واحد اللي بتطلع هي اي + +321 +00:27:12,000 --> 00:27:17,760 +واحد والباقي and ال بتساوي صفر for ال لا تساوي + +322 +00:27:17,760 --> 00:27:23,620 +واحد اذا بس اي واحد طلعت معايا طب و هنا ايش قولت؟ + +323 +00:27:23,620 --> 00:27:30,140 +بيه صفر جدية ايش؟وP2 بس برضه عندك P1 اذا بس عندك + +324 +00:27:30,140 --> 00:27:35,240 +A1 و P1 و كل الباقي روح اذا بعد ما طلعت انا A1 و + +325 +00:27:35,240 --> 00:27:40,880 +كله هاي معناته P1 و الباقي بروح تمام اذا هاي VM + +326 +00:27:40,880 --> 00:27:47,740 +بروح معاه و هاي VRهذه VIN وهذه VF طبعا واحد بيقول + +327 +00:27:47,740 --> 00:27:52,000 +لي هل هدول بيسووا بعض عند small R بتسوي capital R؟ + +328 +00:27:52,000 --> 00:27:54,520 +بقول له مبينة هده هي هذي R تكعيف و هذي small R + +329 +00:27:54,520 --> 00:27:58,860 +تلعبية حط هذي بدلها capital R صارت زي هذي صح ولا + +330 +00:27:58,860 --> 00:28:04,840 +لا؟ و هذي اللازم هذا ال boundary condition تبعي أي + +331 +00:28:04,840 --> 00:28:09,490 +استفسار؟أنا ماعجبني إيش أنتوا كشريين هيك و مبين + +332 +00:28:09,490 --> 00:28:13,810 +انه يعني زي اللي جاعد يبياكل أكلة بتحباش إما عامله + +333 +00:28:13,810 --> 00:28:20,510 +إياها و ببلحها تتبليع جاعدين هيك .. هيك شاعر أنا + +334 +00:28:20,510 --> 00:28:24,710 +ال Sigma إحنا نجيبها و نجيبها طبعا ما يكتر غلبة + +335 +00:28:24,710 --> 00:28:28,790 +شوية بس كتر غلبة ال Sigma أنا بدك إياها أنا بدك + +336 +00:28:28,790 --> 00:28:33,730 +إياها مش هيبقى .. كل سؤال بتقولك كيف بدي أعرفه .. + +337 +00:28:33,730 --> 00:28:38,620 +كيف بدي أعرفه بتعرف إنه حد معطيلكأنت عليّ؟ أنا + +338 +00:28:38,620 --> 00:28:41,660 +سيجما هو بدي تيجي عليّ واحد ويقولي كيف سيجما أنا + +339 +00:28:41,660 --> 00:28:44,740 +بدي أديك سيجما ثابتة ولا كوسين فيتا ولا كوسين تربع + +340 +00:28:44,740 --> 00:28:49,500 +فيتا إذا أنا بدي أعطيك جدّيك سيجما بتكون غير هم يا + +341 +00:28:49,500 --> 00:28:53,340 +بناتي اه + +342 +00:28:53,340 --> 00:28:57,120 +حلو ذاكرة الاجندر الحجج الاجندر اللي دينا هيحل + +343 +00:28:57,120 --> 00:29:02,380 +المسألة تمام؟ أنا أديكي شغلة مش هي فيتا جدّيش + +344 +00:29:02,380 --> 00:29:07,870 +بتغير فيتا من جدّيش لجاية دي مش من صفر لبيمن صفر + +345 +00:29:07,870 --> 00:29:13,870 +فيتا تتغير من صفر ل باي أنا في الآخر بكمل وانت + +346 +00:29:13,870 --> 00:29:18,110 +كملي دي ال cosine فيتا جدتش ال cosine الصفر؟ ال + +347 +00:29:18,110 --> 00:29:23,090 +cosine ال باي؟ نحلت ذلك؟ تمام انت من المجموع اللي + +348 +00:29:23,090 --> 00:29:26,010 +تاخدش Mathematics و Physics مظبوط؟ كمان + +349 +00:29:30,320 --> 00:29:37,140 +طيب انا .. طيب همش بس عرفتي انت في ال orthogonal + +350 +00:29:37,140 --> 00:29:41,720 +functions هذه حدود التكامل جثة يعني بس احنا قلنا + +351 +00:29:41,720 --> 00:29:45,460 +على فيزيائتنا انا θ تبعتي من صفر ل باي انا مين ولا + +352 +00:29:45,460 --> 00:29:49,860 +لأ؟ تمام وبالتالي D قصاني θ بيكون من ناقص one ل + +353 +00:29:49,860 --> 00:29:55,020 +one عشان قصاني صفر واحد وقصاني ال by سالم واحد + +354 +00:30:00,480 --> 00:30:06,120 +هذه .. هذه + +355 +00:30:06,120 --> 00:30:11,460 +.. هذه .. هذه .. هذه .. هذه .. هذه .. هذه .. هذه + +356 +00:30:11,460 --> 00:30:12,760 +.. هذه .. هذه .. هذه .. هذه .. هذه .. هذه .. هذه + +357 +00:30:12,760 --> 00:30:16,480 +.. هذه .. هذه .. هذه .. هذه .. هذي .. هذي .. هذي + +358 +00:30:16,480 --> 00:30:18,040 +.. هذي .. هذي .. هذي .. هذي .. هذي .. هذي .. هذي + +359 +00:30:18,040 --> 00:30:19,140 +.. هذي .. هذي .. هذي .. هذي .. هذي .. هذي .. هذي + +360 +00:30:19,140 --> 00:30:23,650 +.. هذي .. هذي .. هذي .. هذي .. هذي .. هفضّيها بصير + +361 +00:30:23,650 --> 00:30:29,330 +سالب L plus one R سالب L plus two لأن هي L نقص two + +362 +00:30:29,330 --> 00:30:33,870 +بتصير في تقليبين إيجاري إذا هي عملتوا تفاضل تفاضل + +363 +00:30:33,870 --> 00:30:36,270 +بس مش أكتر تفاضل عادي أنا عملتها قبل أن أكتبها + +364 +00:30:36,270 --> 00:30:41,010 +عشان بس تتبعوها عشان بس أنا جلبتهم و أنا جاعت بجمع + +365 +00:30:41,010 --> 00:30:45,270 +خير و مهمش جهود و باكو في ال mathematical physics + +366 +00:30:45,270 --> 00:30:50,480 +مرات المعلومة لما تكون مجردة تنبلعشتمام، اتفهموها؟ + +367 +00:30:50,480 --> 00:30:53,600 +شغلها طبيعية، و احنا كنا زيكم هيك، وبالتالي، حاجات + +368 +00:30:53,600 --> 00:30:56,420 +تبتدوا، و بتقولوا ليش؟ أه، كونوا ليش، لأنه أنا + +369 +00:30:56,420 --> 00:30:59,440 +قلتلكم، هذه أصلها الفيزيا، المسألة اللي هي + +370 +00:30:59,440 --> 00:31:02,260 +بتاخدوها ال mathematics أصلها الفيزيا، وبالتالي كل + +371 +00:31:02,260 --> 00:31:06,970 +شي هناك له معنى فيزيائي، كل شيمحطوط في الرياضيات، + +372 +00:31:06,970 --> 00:31:10,110 +له هدف فيزيائي يحقق له هدفي، فهو من جانب النقص + +373 +00:31:10,110 --> 00:31:13,570 +واحد لواحد وصلت بالنسبالهم معلومة أنا أصلها من سفر + +374 +00:31:13,570 --> 00:31:18,650 +و باقى، اني أنا قاعد بسكت لانه هي هذي حل لابلاس + +375 +00:31:18,650 --> 00:31:21,310 +equation in spherical coordinates، و ال spherical + +376 +00:31:21,310 --> 00:31:26,150 +coordinates هذي فيتا، اللاجندة هو حل الجزء تبع + +377 +00:31:26,150 --> 00:31:31,360 +فيتا في لابلاسمش احنا جسمناها capital R و capital + +378 +00:31:31,360 --> 00:31:34,880 +فيتا، إنه قاعد بحير فيتا، و الفيتا تبعتي في + +379 +00:31:34,880 --> 00:31:38,040 +الـspherical اللي أنا بصمها و بصم عادتها من صفر + +380 +00:31:38,040 --> 00:31:41,420 +لبعد و من صفر لبعد، و من إن دي cos فيتا صارت من + +381 +00:31:41,420 --> 00:31:45,840 +نقص واحد لواحد، فبالتالي ما تخجلوش أنكم تسألوها + +382 +00:31:45,840 --> 00:31:49,120 +بتاعة ال mathematics عشان تلصق المعلومة عنكم وهي + +383 +00:31:49,120 --> 00:31:53,240 +بطبيعة المعلومات، بتركب درجة درجة و مع اتكرار، + +384 +00:31:53,240 --> 00:31:54,040 +تمام يا بنات؟ + diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/zS4Jz3ZFZJw.srt b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/zS4Jz3ZFZJw.srt new file mode 100644 index 0000000000000000000000000000000000000000..699b99997be4deb81beaaf66aa706568516b6088 --- /dev/null +++ b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/zS4Jz3ZFZJw.srt @@ -0,0 +1,1882 @@ +1 +00:00:23,270 --> 00:00:30,130 +خلّينا نستكمل، احنا بدأنا في قانون جاوس وحكينا أنّه + +2 +00:00:30,130 --> 00:00:34,730 +قانون جاوس اللي بيحكي ∫ **E** ⋅ d**s** أو ∫ **E** ⋅ d**a** + +3 +00:00:34,730 --> 00:00:40,840 +بيسوي q enclosed على ε أو qenclosed مرات نكتبها على + +4 +00:00:40,840 --> 00:00:44,880 +ε0. جرّبنا هذا القانون، كان بيحكي أن الـ + +5 +00:00:44,880 --> 00:00:49,140 +electrical flux through any closed surface + +6 +00:00:49,140 --> 00:00:54,100 +any closed surface equals qenclosed على ε0 + +7 +00:00:54,100 --> 00:01:00,260 +تمام. جرى هذا القانون عشان يصير مُفيد، يصير أحد + +8 +00:01:00,260 --> 00:01:05,180 +الطرق لحساب شدة المجال الكهربائي. لابد أن هذه + +9 +00:01:05,180 --> 00:01:11,000 +المعادلة يمكن الاستفادة منها بحيث تكون سهلة + +10 +00:01:11,000 --> 00:01:15,820 +التداول والتعامل. وهذا لا يتأتى إلا إذا كان التكامل + +11 +00:01:15,820 --> 00:01:19,940 +قدرت أتعامل معه بسهولة. وأسهل حاجة أتعامل معه ليس + +12 +00:01:19,940 --> 00:01:23,820 +التكامل كله يروح ويصير صفر (Zero) أو يكون Constant + +13 +00:01:23,820 --> 00:01:29,360 +وبالتالي، عشان تصير Constant، مش دائماً تصير + +14 +00:01:29,360 --> 00:01:34,420 +Constant، لا تنطبق إلا على ثلاث حالات، لا أربع، لازم + +15 +00:01:34,420 --> 00:01:39,060 +الجسم المشحون يكون كروي، أو أسطواني طويل جداً، أو + +16 +00:01:39,060 --> 00:01:44,880 +مستوى كبير جداً. هيك اتفقنا، وأثبتنا قانون Gauss من + +17 +00:01:44,880 --> 00:01:47,700 +قانون Coulomb. لما جاء بيننا الـ divergence وشوية + +18 +00:01:47,700 --> 00:01:51,740 +معلومات رياضية، طلع القانون صحيح 100%. طيب، عشان قبل + +19 +00:01:51,740 --> 00:01:57,600 +ما أُفوض باستخداماته المعقدة، بدّي أنا وياكم + +20 +00:01:57,600 --> 00:02:01,760 +نطبّق على شغل أنا بعرف إجابتها. إيش الشيء اللي + +21 +00:02:01,760 --> 00:02:08,200 +بتعرف إجابتها؟ جالي الـ point charge، شحنة بتعرف + +22 +00:02:08,200 --> 00:02:12,460 +قانونها؟ للـ point charge. بدّي أجيب شدة المجال + +23 +00:02:12,460 --> 00:02:17,800 +الكهربائي عند نقطة، هذه يا بنات، هذه R، بدّي شدة + +24 +00:02:17,800 --> 00:02:22,360 +المجال هنا، مين يجيبلي إياها؟ إيش قانونها؟ جدّاش؟ إيه؟ مش + +25 +00:02:22,360 --> 00:02:27,420 +ميقول لي هذا؟ خلّيها الـ origin. بتساوي K، مظبوط، Q على R2 + +26 +00:02:27,420 --> 00:02:31,100 +تربيع، صح ولا لا؟ هذا القانون اللي بنعرفه. قال يلّا + +27 +00:02:31,100 --> 00:02:35,060 +نشوف قانون Gauss، بتطلع لي إجابة ولا بتطلعش الإجابة. + +28 +00:02:35,060 --> 00:02:41,700 +أول حاجة، هل الجسم المشحون من الأنواع الثلاث اللي + +29 +00:02:41,700 --> 00:02:45,680 +أنا قلت شرط ينطبق عليها قانون Gauss؟ إيش هي الأشكال + +30 +00:02:45,680 --> 00:02:52,190 +الثلاث؟ نعيدها مع بعض: كروي، وأسطواني، وبلان، بلان، + +31 +00:02:52,190 --> 00:02:53,030 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +32 +00:02:53,030 --> 00:02:53,110 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +33 +00:02:53,110 --> 00:02:53,310 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +34 +00:02:53,310 --> 00:03:00,550 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +35 +00:03:00,550 --> 00:03:03,510 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +36 +00:03:03,510 --> 00:03:07,190 +بلان، بلان، بلان، بلان، بلان، بنشوف، إيش + +37 +00:03:07,190 --> 00:03:12,050 +الخطوة الثانية؟ قال لي: اختار سطح Gauss، صح ولا؟ سطح + +38 +00:03:12,050 --> 00:03:15,470 +Gauss أنا بدي أختاره، يعني هذا سطح وهمي، أنا اللي + +39 +00:03:15,470 --> 00:03:20,570 +بختاره. إيش شرطه؟ قال لي: له شرطين. أولاً، لازم يكون + +40 +00:03:20,570 --> 00:03:24,490 +أنّه نفس الشكل تبع الشحنات. الشحنات شكلها؟ كروي. إذاً + +41 +00:03:24,490 --> 00:03:28,730 +إيش بده يكون؟ كروي. الشرط الثاني، بدّه تكون النقطة + +42 +00:03:28,730 --> 00:03:31,870 +هذه موجودة على السطح. إذاً، هدول الشرطين عشان + +43 +00:03:31,870 --> 00:03:36,860 +يتحقّقوا، لابد أن يكون سطح Gauss هو، واحنا بنرسمه + +44 +00:03:36,860 --> 00:03:41,960 +منقطّ عشان نأكّد أن هذا السطح وهمي، أنا اللي اختارته. + +45 +00:03:41,960 --> 00:03:47,720 +اتّفقنا يا بنات؟ تمام. قال لي: أنا ليش بعمل هيك؟ قال لي + +46 +00:03:47,720 --> 00:03:54,960 +عشان أضمن أن E مالها Constant، صح ولا لا؟ اتطلعوا + +47 +00:03:54,960 --> 00:03:58,200 +على السطح. شايفين أن السطح، طول ما أنتم ماشيين + +48 +00:03:58,200 --> 00:04:05,750 +عليه، بتبعدوا ولا بتقرّبوا عن الشحنات؟ بنفس البعد، + +49 +00:04:05,750 --> 00:04:11,430 +يعني E مالها؟ Constant، وهي اللي بدّي إياها، عشان + +50 +00:04:11,430 --> 00:04:17,190 +E تكون Constant. تمام؟ إذاً هذه E Constant قطعا، + +51 +00:04:17,190 --> 00:04:23,370 +بتشوفوا هذه، إيش هذه؟ dot، يعني بتجيب cosine الزاوية، + +52 +00:04:23,370 --> 00:04:24,810 +بين مين ومين الزاوية؟ + +53 +00:04:27,320 --> 00:04:33,520 +بين E و d**A**. حلو. نيجي لأول، خليني أي نقطة، هذه النقطة، + +54 +00:04:33,520 --> 00:04:39,320 +مين يقول لي إيش؟ كيف اتجاهها؟ + +55 +00:04:39,320 --> 00:04:45,820 +داخل؟ ولا خارج؟ كيف؟ أو + +56 +00:04:45,820 --> 00:04:48,860 +d**s**، مظبوط ولا لأ؟ طب مين يقول لي عند النقطة هذه شدّة + +57 +00:04:48,860 --> 00:04:56,620 +المجال كيف اتجاهه؟ شدّة المجال، ارسم خطّ المجال، خطّ + +58 +00:04:56,620 --> 00:05:04,720 +المجال، ارسميه من هناك، كيف اتجاهه؟ كده + +59 +00:05:04,720 --> 00:05:10,560 +الزاوية بين E و d**s** إيش؟ Cosine الـ 0 = 1، إذاً + +60 +00:05:10,560 --> 00:05:16,280 +هذه راحت، وهذه ثابتة، إيش ظلّ هو التكامل؟ ∫d**s**، ∫d**s** + +61 +00:05:16,280 --> 00:05:21,420 +لمين أنتم بتعملوا؟ لسطح Gauss، لسطح Gauss هذا، هذا كده + +62 +00:05:21,420 --> 00:05:28,330 +نص قطره؟ R. وقدّيش مساحة الكرة؟ 4πR2 + +63 +00:05:28,330 --> 00:05:35,610 +فصلت هذه إيش؟ 4πR2 بتساوي إيش + +64 +00:05:35,610 --> 00:05:42,010 +هذه؟ الـ Q اللي جوا سطح Gauss. في جوا سطح Gauss شحنات + +65 +00:05:42,010 --> 00:05:47,110 +ولا فش؟ قدّيش؟ + +66 +00:05:47,110 --> 00:05:53,530 +طلعولي إيش؟ إذاً E = Q / 4π ε0 R2. هذه هي K. إذاً هنا أنا بهذه الطريقة + +67 +00:05:53,530 --> 00:06:01,970 +السهلة، بدي أركن على Gauss. أنا أثبتت رياضياً بواسطة + +68 +00:06:01,970 --> 00:06:07,810 +كله، وطبّقته على الـ point charge وطلع صح. إذن الآن + +69 +00:06:07,810 --> 00:06:13,150 +بالقطع قانون Gauss applicable وممكن نركن عليه بس + +70 +00:06:13,150 --> 00:06:18,610 +بشروط اللي حكيناها، بس الحالات الثلاث، الأشكال + +71 +00:06:18,610 --> 00:06:23,030 +الكروية كلها، والأشكال الأسطوانية بشرط أنها تكون + +72 +00:06:23,030 --> 00:06:26,890 +طويلة جداً، والأشكال المسطّحة بشرط أنها تكون كبيرة + +73 +00:06:26,890 --> 00:06:31,670 +جداً. تمام. الآن بدنا نيجي للمثال اللي عندي، بيقول: find + +74 +00:06:31,670 --> 00:06:41,210 +the electric field outside and inside a uniformly + +75 +00:06:41,210 --> 00:06:48,170 +charged sphere of radius R. أنا هذه خاطر + +76 +00:06:48,170 --> 00:06:54,450 +أعملها عشان أتفق مع اللي هناك، هذه بدي أعملها A بس + +77 +00:06:54,450 --> 00:06:58,290 +لأنّه في الرسمة في الآخر أنا عاملها A، مش هذا shift + +78 +00:06:58,290 --> 00:07:05,640 +إذن + +79 +00:07:05,640 --> 00:07:16,800 +بيقول لي: عندك sphere، نص قطرها إيش؟ R. وين ما في + +80 +00:07:16,800 --> 00:07:23,140 +لون أحمر في الشحنات، يعني في شحنات برا، وعلى السطح، وجوا + +81 +00:07:23,140 --> 00:07:28,000 +يعني على السطح وجوا كلها مصمتة. solid uniformly + +82 +00:07:28,000 --> 00:07:34,440 +charged solid sphere وبتحمل إيش؟ وبتحمل charge + +83 +00:07:34,440 --> 00:07:38,180 +مقدارها Q. تمام. + +84 +00:07:38,180 --> 00:07:42,700 +تمام. + +85 +00:07:42,700 --> 00:07:47,880 +خلّينا بس نبدأ، وهيك كل ما عملناه هنا + +86 +00:07:55,050 --> 00:08:00,890 +تمّ. بدي أشتغل طبعاً على قانون Gauss. أول حاجة، الجسم + +87 +00:08:00,890 --> 00:08:05,130 +المشحون إيش شكله؟ إذاً ينطبق قانون Gauss ولا لا؟ + +88 +00:08:05,130 --> 00:08:10,110 +ينطبق، خلاص، انتهى، أبدأ اشتغل. إيش بده؟ بيقول لي + +89 +00:08:10,110 --> 00:08:13,570 +بدّي شدّة المجال برا وجوا، برا وجوا، معناته عبارة + +90 +00:08:13,570 --> 00:08:17,030 +عن سؤالين، فرعين. نبدأ باللي برا، بدّي أجيب شدّة + +91 +00:08:17,030 --> 00:08:19,630 +المجال برا، إيش يعني برا؟ بيقول لي: أي نقطة اختارها + +92 +00:08:19,630 --> 00:08:23,870 +برا، أي نقطة برا، ممكن تختار نقطة هنا، ممكن تختارها + +93 +00:08:23,870 --> 00:08:27,590 +هنا، ممكن تختارها هنا، مظبوط ولا لا؟ بيقول لي هذه + +94 +00:08:27,590 --> 00:08:30,630 +النقطة السوداء، شايفينها؟ بدّي أجيب شدّة المجال + +95 +00:08:30,630 --> 00:08:35,310 +الكهربائي عند النقطة اللي شايفينها، وهي قطعا + +96 +00:08:35,310 --> 00:08:41,370 +outside the sphere، صح ولا لا؟ + +97 +00:08:41,370 --> 00:08:47,930 +تمام. إيش الخطوة التالية؟ بدّي أختار سطح Gauss. سطح + +98 +00:08:47,930 --> 00:08:49,910 +Gauss اللي بدّي أختاره لازم يكون نفس شكل الجسم + +99 +00:08:49,910 --> 00:08:56,190 +المشحون. كرة، الشغل الثاني لازم تكون النقطة عليه عشان + +100 +00:08:56,190 --> 00:09:03,730 +نثبت. إذاً معناته هذا سطح Gauss، شفتوا؟ هذا سطح Gauss + +101 +00:09:03,730 --> 00:09:10,090 +اللي اختارته، لازم يكون concentric with the solid + +102 +00:09:10,090 --> 00:09:14,550 +sphere نفسها. لأنه لو ما اخترتهوش هيك، ما بقاش معايا تم + +103 +00:09:16,620 --> 00:09:22,200 +إذاً، للمنطقة الخارجية نختار Gaussian sphere، عبارة + +104 +00:09:22,200 --> 00:09:26,620 +عن sphere، نص قطرها اسمها R، لأن الـ point تبعد من + +105 +00:09:26,620 --> 00:09:31,600 +مركز sphere R، concentric with the sphere طبعاً + +106 +00:09:31,600 --> 00:09:35,700 +للوهلة الأولى بيجي عند الواحد أكثر من فكرة، بس أول + +107 +00:09:35,700 --> 00:09:39,400 +واحدة، نتأكد. سطح Gauss الوهمي شايفينه؟ المنقطّ + +108 +00:09:39,400 --> 00:09:46,210 +خدوا كل النقاط، في أي نقطة أنتم بعيدين واللي جرى بقى + +109 +00:09:46,210 --> 00:09:51,270 +عن النقطة اللي وراها، إذن ثابت، E واضح، صحيح، واحنا + +110 +00:09:51,270 --> 00:09:54,050 +بنقول إن احنا كل شروطنا عشان إيش؟ عشان نضمن ثابت + +111 +00:09:54,050 --> 00:09:57,330 +E. واحد بيقول: طب أنت بيقول كرة، كرة بينفع يعمل + +112 +00:09:57,330 --> 00:10:07,320 +هيك، لأنه بصير مختلف. إذن معناته أنتم، واحنا اتفقنا + +113 +00:10:07,320 --> 00:10:11,140 +إنكم مازال عندكم حرية الاختيار، بيتختار بحيث يضمن + +114 +00:10:11,140 --> 00:10:15,340 +E constant، وبصير بعد فترة ممارسة الواحد على طول + +115 +00:10:15,340 --> 00:10:19,540 +يعرف يجيب سطح Gauss، لأنه يعرف أن اختيار آخر ما + +116 +00:10:19,540 --> 00:10:23,640 +بيظبط معه، فهمتوا عليّ؟ وبصير مبرمج في مخّه كيف + +117 +00:10:23,640 --> 00:10:27,820 +سطح Gauss المناسب اللي بده يختاره. فلازم يكون الـ + +118 +00:10:27,820 --> 00:10:34,000 +concentric موجود زي ما احنا شايفينه. تمام؟ الآن E + +119 +00:10:34,000 --> 00:10:38,400 +constant قطعا، صح ولا لأ؟ بدّي أحلّل الـ dot product + +120 +00:10:38,400 --> 00:10:42,840 +اللي في القانون كمان مرّة. عند أي نقطة، عند أي + +121 +00:10:42,840 --> 00:10:53,260 +نقطة، بدّي إيش؟ بتيجي عنصر الأقطار. بدّي E، بتيجي عنصر + +122 +00:10:53,260 --> 00:10:59,520 +الأقطار. إذاً برضه هذه E، وهذه d**A**. كانت الزاوية بينهم؟ + +123 +00:10:59,520 --> 00:11:04,200 +dot product، الزاوية صفر، cosine الـ صفر 1، إذاً راحت + +124 +00:11:04,200 --> 00:11:09,320 +قال لي: حلو. هذا Qin، على Qenclosed أو Qin، كل واحد + +125 +00:11:09,320 --> 00:11:16,420 +تمام. إذاً اتفقنا الآن. إيش زي اللي عندك؟ هذا طلعته + +126 +00:11:16,420 --> 00:11:24,240 +برا، وتكامل ∫ E ⋅ d**A** إيش هذه؟ فتحجز، وانت عطيتها، و + +127 +00:11:24,240 --> 00:11:28,040 +عندك عينين وبتشوف، جوا فيه شحنات ولا فيه شحنات؟ + +128 +00:11:28,040 --> 00:11:33,040 +الكلّ، الشحنات اللي جوا، كلّ الشحنات اللي جوا الكرة Q + +129 +00:11:33,040 --> 00:11:41,190 +خلص السؤال. قال لي: هذه هي Q، هيها كلّها. الاثنين إيش + +130 +00:11:41,190 --> 00:11:47,170 +هي؟ كلّه جوا سطح Gauss. إذن معناته قال لي إيش؟ طلّعتها + +131 +00:11:47,170 --> 00:11:51,490 +برا، الـ 4πR2، ما حدا يقول لي وين راحت تكامل ∫d**A**؟ + +132 +00:11:51,490 --> 00:11:57,350 +مساحة إيش هذه؟ سطح Gauss، يعني لأن في كرتين، الحمراء + +133 +00:11:57,350 --> 00:12:04,830 +ولا المنقطّة؟ المنقطّة، لأن هذه لسطح Gauss صح؟ تمّ. هذه + +134 +00:12:04,830 --> 00:12:08,430 +إيش بيسمّوها؟ 4πR2 مش 4πA2 + +135 +00:12:08,430 --> 00:12:18,970 +صح؟ قال: هاي النتيجة، تأكّدوا، أي استفسار، هذا + +136 +00:12:18,970 --> 00:12:23,490 +بواسطة القانون جاهز طبعاً. لو أنتم طلّعتوا هذه وهذه + +137 +00:12:23,490 --> 00:12:27,530 +بتيجي على سطر نفسه، إذا بدّي أحطها، يعني حلّوا كم يجي + +138 +00:12:27,530 --> 00:12:32,170 +سطر. واحد بيقول: طيب إيش الطريقة الثانية اللي + +139 +00:12:32,170 --> 00:12:35,830 +ممكن أحلّ فيها؟ بقول له: فيه بيجدّوا يقدروا يدفعوا الـ E + +140 +00:12:35,830 --> 00:12:42,110 +بيساوي 1/4π ε0 ∫ dQ / R2 R̂ + +141 +00:12:42,110 --> 00:12:46,630 +مظبوط ولا لأ؟ وهذه في حالتنا هي ρ dV أو dτ + +142 +00:12:46,630 --> 00:12:51,650 +صح ولا لأ؟ وبدأ تشتغل، هذه بتجيبها عبارة عن R2 + +143 +00:12:51,650 --> 00:12:56,590 +sin θ dθ dφ dR وابدأ اشتغل + +144 +00:12:57,690 --> 00:13:01,670 +بتطلّع نتيجة، والله بتطلّع نتيجة، بس إذا كان صفحة + +145 +00:13:01,670 --> 00:13:05,790 +بدّاك، ممكن بدّك صفحتين، مش مشكلة الصفحات، تتخاصم مش + +146 +00:13:05,790 --> 00:13:10,190 +مشكلة عدد الصفحات، المشكلة إن أنتم بدّكم مهارات رياضية + +147 +00:13:10,190 --> 00:13:14,270 +شوية متقدّمة عشان تقدر تطلّع النتيجة. يعني مش مجرد + +148 +00:13:14,270 --> 00:13:18,650 +إنك تعطي صفحات وأسطر، بعلّه، وهنحله شوية بعد كده + +149 +00:13:18,650 --> 00:13:22,850 +بالطريقة هذه، ونشوف كده، بيكون في صعوبة إنك تتعامل + +150 +00:13:22,850 --> 00:13:26,520 +معاه. وبالتالي، أسهل طريقة ممكن واحد يواجهها... احنا + +151 +00:13:26,520 --> 00:13:31,320 +هناخد أربع أو خمس طرق عشان نحسب E. تمام؟ أسهل + +152 +00:13:31,320 --> 00:13:35,260 +طريقة على الإطلاق هي قانون Gauss. بس مع الأسف + +153 +00:13:35,260 --> 00:13:38,160 +أنّه لا ينطبق على جميع الأشكال. عيبه. + +154 +00:13:38,160 --> 00:13:40,980 +وبالتالي أنا مجبر أن يكون عندي طرق أخرى. لأنه + +155 +00:13:40,980 --> 00:13:44,800 +مرات بتواجهني شكل لا هو كروي ولا هو أسطواني طويل ولا + +156 +00:13:44,800 --> 00:13:49,140 +هو مسطّح كبير. وبالتالي قانون Gauss ما بيفيدنيش. + +157 +00:13:49,140 --> 00:13:52,960 +لكن أسهل طريقة على الإطلاق في الحل هي Gauss، لأنه + +158 +00:13:52,960 --> 00:13:57,360 +على طول سطرين، ثلاثة، خلصت. لا بدّ، و ما بدّيش مهارات + +159 +00:13:57,360 --> 00:14:02,180 +رياضية. أصلاً التكامل اللي فيه، اللي كان يخوّف، أنا + +160 +00:14:02,180 --> 00:14:06,620 +أصلاً موقّفته، قلت E ثابتة، بطّل فيه تكامل، إيش تكامل + +161 +00:14:06,620 --> 00:14:11,180 +∫d**A**؟ إيه، بطّل فيه عندي أي مشكلة رياضية، وبالتالي + +162 +00:14:11,180 --> 00:14:15,740 +قانون Gauss سهل جداً في التعامل، بس أعرف كيف أطبّقه + +163 +00:14:15,740 --> 00:14:19,880 +وكيف أتعامل معه بسهولة جداً. أي استفسار يا بنات؟ + +164 +00:14:22,200 --> 00:14:26,720 +حلو. الآن قال لي: طب لو كانت النقطة جوا، يلّا + +165 +00:14:26,720 --> 00:14:3 + +223 +00:19:18,600 --> 00:19:23,020 +ليش ماشي، إنت بتقول إيش بيساوي KQ على R تربيع؟ قلت له + +224 +00:19:23,020 --> 00:19:26,790 +أه، قال لي طيب لما أنا أجرب على شحنة كتير جدّاً، R + +225 +00:19:26,790 --> 00:19:30,410 +بتصير بتقول صفر، وأقول لك كيف بتشتغل من النهاية؟ و + +226 +00:19:30,410 --> 00:19:33,890 +إنت بتقول له هذا القانون أصلاً لازم أحط R أكبر من + +227 +00:19:33,890 --> 00:19:37,770 +صفر، ما ينفعش تكون جوا، شوف إنت لما تكون جوا مش + +228 +00:19:37,770 --> 00:19:41,290 +القانون هذا بيختلف، القانون تماماً؟ إذا هذه لازم R + +229 +00:19:41,290 --> 00:19:45,470 +تكون أكبر من صفر، أنا بقول القانون و بـ guess R بعد + +230 +00:19:45,470 --> 00:19:49,890 +النقطة عن المركز، بس أنا بدي أكون نقطة برا الشحنة، و + +231 +00:19:49,890 --> 00:19:54,060 +النقطة عشان نسقطها صفر، يعني هذا القانون اللي أنا + +232 +00:19:54,060 --> 00:19:58,960 +طلعته في المطلوب الأول، لما تكون R أكبر من A، صح؟ + +233 +00:19:58,960 --> 00:20:03,080 +لكن لما R أقل من A ما طلعش في القانون؟ هيك طيب، خلّيني + +234 +00:20:03,080 --> 00:20:07,400 +أنا وياكم نفكّر بهذه الشغلة، طلعت صفر عند المركز، + +235 +00:20:07,400 --> 00:20:14,420 +طلعت صفر، طب هل لها تفسير منطقي هذا الصفر؟ + +236 +00:20:14,420 --> 00:20:16,620 +مش عارف، طيب + +237 +00:20:35,380 --> 00:20:40,840 +عندي المركز صفر، طيب صفر، قطعاً النتيجة طلعت صفر، + +238 +00:20:40,840 --> 00:20:44,120 +عوّضت محل R ب صفر، طلعت صفر، ليش فيها شطارة؟ طب بدي + +239 +00:20:44,120 --> 00:20:47,220 +أنا أقنع حالي إن أنا ناس، صفر، جا له إنت لو جيت + +240 +00:20:47,220 --> 00:20:51,020 +اشتغلت على قانون، كلهم إيش بتعمل؟ بقوله بعمل، بأخذ + +241 +00:20:51,020 --> 00:20:56,220 +عناصر، ولا بدي DQ، طيب يلا نأخذ DQ، قال لي خذ...هاد + +242 +00:20:56,220 --> 00:21:01,360 +كله هنا، فيه حمار كان قال لي هادي شحنة ولا مش شحنة؟ + +243 +00:21:01,360 --> 00:21:07,840 +طيب... و هادي... و رضوى شحنة، إذا هنا فيه عنصر عندك + +244 +00:21:07,840 --> 00:21:11,060 +إجبالك عنصر، إذا هنا فيه عنصر وهنا فيه عنصر، و هادي + +245 +00:21:11,060 --> 00:21:14,460 +الأبعاد متساوية، جيب لي اتجاه المجال تبع هادي هنا، + +246 +00:21:14,460 --> 00:21:22,620 +اتجاه المجال من هنا، تجاه المجال هيه، صح ولا لأ؟ طبعاً + +247 +00:21:22,620 --> 00:21:27,900 +هادي بيلغوا بعض ولا لأ؟ ما بيلغوش بعض، طب لو حتى أنا + +248 +00:21:27,900 --> 00:21:31,740 +عنصر في زيها هنا، إذن هادي ما هي، هادي في تماثل + +249 +00:21:31,740 --> 00:21:36,960 +حول نقطة صفر، وبالتالي شغلة منطقية إن طبعاً E is + +250 +00:21:36,960 --> 00:21:41,900 +zero، E is zero، E must be zero because of the + +251 +00:21:41,900 --> 00:21:45,920 +symmetry، و E is a vector quantity، بيلغوا بعض إذا + +252 +00:21:45,920 --> 00:21:49,600 +كلامك صح، والنتيجة اللي طلعتها قطعاً صح، إنّه at the + +253 +00:21:49,600 --> 00:21:53,640 +origin، شدّة المجال must be zero inside a solid + +254 +00:21:53,640 --> 00:21:57,180 +sphere at the origin، لكن لو مش origin بيُبطل فيه + +255 +00:21:57,180 --> 00:22:00,800 +symmetry، بيصيرش فيه شحنات بيلغوا بعض، فيه شحنات + +256 +00:22:00,800 --> 00:22:05,720 +ما بيلغوش بعض، تمام؟ لأن لو كانت النقطة هنا، بصير الـ E + +257 +00:22:05,720 --> 00:22:11,340 +أقل، الـ E هنا، وين ما حطيت إيديك في مساحة + +258 +00:22:11,340 --> 00:22:15,100 +في الـ symmetry، إذا صفر، صفر، قطعاً صفر، ما فيش + +259 +00:22:15,100 --> 00:22:21,160 +أي مشكلة، تمام + +260 +00:22:21,160 --> 00:22:30,260 +كمان + +261 +00:22:30,260 --> 00:22:38,220 +مثال، بيقول لي a long cylinder of radius capital R + +262 +00:22:38,220 --> 00:22:42,380 +carries a charge density proportional to the + +263 +00:22:42,380 --> 00:22:47,560 +distance from the axis، ρ، مُثابتة يا بنات، شايفينها؟ + +264 +00:22:47,560 --> 00:22:51,980 +إيش بتساوي؟ KS، شوفوا لما يقول لي uniform بقوله + +265 +00:22:51,980 --> 00:22:55,100 +ثابتة، بطلّعها برا التكامل، صح ولا... لكن لو مُثابتة + +266 +00:22:55,100 --> 00:23:00,400 +بقوله دي نتيجتها، أو علاقتها، بِيدّيني علاقتها، الشيء S + +267 +00:23:00,400 --> 00:23:07,000 +هذه بُعدها عن الـ axis O، يعني إنت بتعمل الـ + +268 +00:23:07,000 --> 00:23:09,060 +cylindrical coordinates، والـ cylindrical + +269 +00:23:09,060 --> 00:23:11,840 +coordinates، أنا كنت أعرف الشيء، متغيرات الـ + +270 +00:23:11,840 --> 00:23:16,620 +cylindrical coordinates، رو وفاي وزِد، غير ليها S + +271 +00:23:16,620 --> 00:23:20,240 +قال لي ما إنت شايف في عندك كمّة الـ رو، هذه إيش الـ + +272 +00:23:20,240 --> 00:23:24,930 +رو؟ charge density، بدّيش أخلّبط، ما ينفعش أحط رو رو، + +273 +00:23:24,930 --> 00:23:28,650 +فجال، اسمح لي في هذا السؤال، بدل رو تحت الـ cylindrical + +274 +00:23:28,650 --> 00:23:34,190 +إيش أحطّها؟ S، فهمتوا عليّ؟ وبيقول إن هالي a + +275 +00:23:34,190 --> 00:23:37,110 +proportional to the distance from the axis، إذا الـ + +276 +00:23:37,110 --> 00:23:42,970 +distance from the axis هي S، Okay، ثابتة، إذا S هي + +277 +00:23:42,970 --> 00:23:45,430 +الـ رو تبع الـ cylindrical coordinates، وعرفنا الشرط + +278 +00:23:45,430 --> 00:23:49,150 +منها، عشان رو تبع الـ charge density، ممكن الرموز + +279 +00:23:49,150 --> 00:23:52,750 +بيقبلوا تخبط في الآخر، ويقول لك كيب، ده ميز بينهم، لأن كل + +280 +00:23:52,750 --> 00:23:55,410 +رموز الدنيا راحوا على اللغة الإنجليزية وما كفّاهموش + +281 +00:23:55,410 --> 00:24:00,290 +إلا في تكرار، فالواحد وإنتوا بتعرفوا، عامل لكم إنتوا + +282 +00:24:00,290 --> 00:24:03,030 +بتاخدوا كتير شغلات، هتلاقوا فيه تكرار لأمور كتيرة، + +283 +00:24:03,030 --> 00:24:07,870 +يعني تمام، إيش بدّك؟ بيقول لي find the electric field + +284 +00:24:07,870 --> 00:24:11,850 +outside and inside the cylinder، برا وجوا، نبدأ باللي + +285 +00:24:11,850 --> 00:24:16,370 +برا، قال لي هي الـ cylinder، أول ما قال لي cylinder أحلها على قانون + +286 +00:24:16,370 --> 00:24:22,170 +جاوس، اتذكّرت، إيش شروطه؟ قال لي أشكال كروية، أمين، لأ + +287 +00:24:22,170 --> 00:24:24,830 +مش أشكال كروية، أشكال أسطوانية، أسطوانية، كانت بس + +288 +00:24:24,830 --> 00:24:28,270 +كانت مشروطة in a very long، طب هو قال لي هي long + +289 +00:24:28,270 --> 00:24:30,550 +قال لي معناته هذا بيقول لي، وهو كونه بيقول لي أحلّ على + +290 +00:24:30,550 --> 00:24:37,440 +جاوس، أنا جاي لك؟ long، اتفجّنا هيك؟ حلو، جيب لي إيش بقى + +291 +00:24:37,440 --> 00:24:41,660 +بتساوي؟ بدي أختار سطح جاوس، مش بهيك اتفجّنا؟ أول + +292 +00:24:41,660 --> 00:24:45,240 +شكل ينطبق عليه قانون جاوس من ضمن الحالات الثلاث + +293 +00:24:45,240 --> 00:24:49,860 +اللي قلت لك عنها، شكل أسطواني long، إلى خطوة تالية، + +294 +00:24:49,860 --> 00:24:53,980 +بدي أختار سطح جاوس، بفهم أختار كرة؟ لأ، إيش بتختار؟ + +295 +00:24:55,210 --> 00:24:58,350 +أسطوانة، لأن أنا شكلي أسطوانة، أسطوانة، إذا ما يقول + +296 +00:24:58,350 --> 00:25:00,610 +لي إنّي بدي شدّة المجال عند نقطة معيّنة، هي برا، + +297 +00:25:00,610 --> 00:25:03,830 +ما هو بدي برا وجوا، لما أكون جوا، بينّا بنجيبها، + +298 +00:25:03,830 --> 00:25:09,510 +جالي حلو، هذه أعتبرّها small r، طبعاً هذه من هالهنّ + +299 +00:25:09,510 --> 00:25:14,970 +جديش؟ capital R، زي ما أعطى السؤال، تمام؟ لأنّ + +300 +00:25:14,970 --> 00:25:20,180 +الأسطوانة، نُسقّطها capital R، تمام؟ solution بيقول إيه + +301 +00:25:20,180 --> 00:25:23,780 +بدّي أختار سطح جاوس، As a Gaussian surface, we + +302 +00:25:23,780 --> 00:25:28,800 +select a circular cylinder of radius small r with + +303 +00:25:28,800 --> 00:25:33,500 +height H، height، سطح جاوس، النقطة على السطح، مش على سطح + +304 +00:25:33,500 --> 00:25:41,140 +النقطة، على السطح، تمام؟ height cylinder، طيب، سنة + +305 +00:25:41,140 --> 00:25:46,920 +أولى، كانوا الطلاب، إيش بيساوي لما يجيهم سؤال زي هذا؟ + +306 +00:25:46,920 --> 00:25:49,480 +كانوا يقولون، ليش تسأل الأستاذ، لما أختار سطح جاوس + +307 +00:25:49,480 --> 00:25:53,020 +أختاره صغير؟ طب هو يعني هو أقرب من مين؟ طب هيكان + +308 +00:25:53,020 --> 00:25:57,520 +المقصود، هم نفسهم، من الرسمة، يجي الطالب كريم يقول ها + +309 +00:25:57,520 --> 00:26:02,860 +سطح جاوس، بتبقى إيش + +310 +00:26:02,860 --> 00:26:09,820 +معناته؟ إيش سوى؟ خرب الدنيا، أنا ليش بقول عنه لازم + +311 +00:26:09,820 --> 00:26:14,150 +يكون طويل؟ بقول عشان تبعد عن الأطراف، وإنت مشارِك + +312 +00:26:14,150 --> 00:26:16,410 +رأيك على الأطراف، مين جالك؟ مين ضربك عشان تقول على + +313 +00:26:16,410 --> 00:26:20,930 +الأطراف؟ أنا الأطراف مش شايفها أصلاً، ليش؟ لأنّه لو + +314 +00:26:20,930 --> 00:26:25,170 +إنت وصلت لأطراف، E بِتِصِير ثابتة، وبالتالي ولا + +315 +00:26:25,170 --> 00:26:31,200 +عمودية، وبالتالي كل الدنيا اتخربطت، إنت جاوس بيقول لك + +316 +00:26:31,200 --> 00:26:36,380 +any closed surface، ما قال لكش تكبّرْها، ولو عشان ليه + +317 +00:26:36,380 --> 00:26:40,520 +تروح الأطراف؟ كبّرها، أنا قاعد بأوْصيك، أحياناً صغّرْها + +318 +00:26:40,520 --> 00:26:44,820 +أكتر، بس أحياناً نكبّرْها هنا عشان نشوفها تمام؟ إذا + +319 +00:26:44,820 --> 00:26:47,780 +ما ينفعش سطح جاوس يوصل للأطراف، وأنا جاي لك لازم يكون + +320 +00:26:47,780 --> 00:26:51,780 +طويل جداً، فهمتوا عليّ؟ تمام، وكنا نتقاتل مع الطلاب + +321 +00:26:51,780 --> 00:26:54,360 +لما نخصمهم علامات، والله يا أستاذ أنا بس عشان يصير + +322 +00:26:54,360 --> 00:26:58,580 +واضح، وأنا بس عشان مش عارف إيش، وأنا قُلت أحسن، و + +323 +00:26:58,580 --> 00:27:02,420 +...و هي بيكون النقطة اللي زي هذه إنّي أنا بدي إيّا + +324 +00:27:02,420 --> 00:27:06,560 +الطالب يعرف لماذا اختار سطح جاوس؟ ولماذا طوله طويل + +325 +00:27:06,560 --> 00:27:09,520 +جداً؟ ولماذا طوله كبير جداً؟ وبالتالي، إنت تشتغل من + +326 +00:27:09,520 --> 00:27:12,880 +شغل، ما تروح عليه، نحن نقول لك هذه ممنوعة، تروح + +327 +00:27:12,880 --> 00:27:17,980 +عليه، لماذا؟ ممنوعة لأن التكامل غلط، إنت بتبقى كذلك + +328 +00:27:17,980 --> 00:27:22,820 +بتبني على إنّ E مستمر، وفرضيتك E ليست مستمرة، فمتعنّي + +329 +00:27:22,820 --> 00:27:23,780 +كيف؟ حلو. + +330 +00:27:26,480 --> 00:27:30,940 +الآن، هاي قانون جاوس في الكُرة، كم سطح لها الكُرة؟ + +331 +00:27:32,310 --> 00:27:36,990 +الكُرة واحد، تمام؟ ذاكرين، أما أنا عملت هذا التكامل + +332 +00:27:36,990 --> 00:27:41,330 +في أوّل محاضرتين، وكان عندي متوازي مستطيلات، كم + +333 +00:27:41,330 --> 00:27:45,250 +تكامل عملتهم؟ ستّة، هذا التكامل الآن في هذا السطح، + +334 +00:27:45,250 --> 00:27:49,310 +كم... كم قاعد بتعمل؟ ثلاثة... ثلاثة... ثلاثة... + +335 +00:27:49,310 --> 00:27:49,350 +ثلاثة... ثلاثة... ثلاثة... ثلاثة... ثلاثة... ثلاثة + +336 +00:27:49,350 --> 00:27:49,630 +...ثلاثة... ثلاثة... ثلاثة... ثلاثة... ثلاثة... + +337 +00:27:49,630 --> 00:27:50,930 +...ثلاثة... ثلاثة... ثلاثة... ثلاثة... ثلاثة... ثلاثة + +338 +00:27:50,930 --> 00:27:55,230 +...ثلاثة... ثلاثة... ثلاثة... ثلاثة... ثلاثة... + +339 +00:27:55,230 --> 00:28:03,180 +ثلاثة... ثلاثة... ثلاثة... مظبوط ولا لأ؟ وبالتالي + +340 +00:28:03,180 --> 00:28:07,840 +لما يعوَج بيصير لا ثابت ولا أقدر أعرف أي زاوية فيه، + +341 +00:28:07,840 --> 00:28:13,040 +فكل التعقيدات بتيجي لو هدول وصلوا الأطراف، عشان كده + +342 +00:28:13,040 --> 00:28:16,380 +بقول ابعد عن الأطراف، وإنت جا لك لونك عشان + +343 +00:28:16,380 --> 00:28:22,440 +تعرف تشتغل، تمام، هذه إيه؟ اللي عندها SSR تنطّ على + +344 +00:28:22,440 --> 00:28:28,250 +طول، بيقول لي since the cylinder has three surfaces + +345 +00:28:28,250 --> 00:28:32,790 +مظبوط ولا لأ؟ بيقول لي the integral in Gauss's law + +346 +00:28:32,790 --> 00:28:36,770 +هذا التكامل has to be split into three parts، ويصير + +347 +00:28:36,770 --> 00:28:42,830 +عبارة عن ثلاثة تكاملات، عبارة عن الـ base العلوية، الـ base + +348 +00:28:42,830 --> 00:28:48,230 +السفلية، والـ curved surface الجانبي، صح ولا لأ؟ هات + +349 +00:28:48,230 --> 00:28:51,910 +ثلاثة تكاملات هلّقيت؟ إذا في تكامل ما أعرفش أحلّه، + +350 +00:28:51,910 --> 00:28:55,510 +معناته ما أعرفش أحلّه، غلط، مظبوط ولا لأ؟ كيف ما أعرفش + +351 +00:28:55,510 --> 00:28:59,230 +أحلّه؟ بقول لأ، إيه؟ بتطلعها برا؟ لأ، تكامل، بدي أروح + +352 +00:28:59,230 --> 00:29:04,830 +أروح، كله صفر، ماشي، اتفجّناها؟ ثاني، نيجي أوّل على + +353 +00:29:04,830 --> 00:29:08,830 +القاعدة العلوية، والمنطقة اللي فوق، حاكت لك، وإنت + +354 +00:29:08,830 --> 00:29:12,610 +ماشي على القاعدة، نيجي نملة ونمشيها على القاعدة، + +355 +00:29:12,610 --> 00:29:16,250 +وهي ماشية على القاعدة، ممكن تجرّب وتبعد عن الحمار + +356 +00:29:16,250 --> 00:29:21,540 +ولا لأ؟ بتجرّب، بتبعد، إذا معناته شدّة المجال ثابتة، + +357 +00:29:21,540 --> 00:29:24,580 +ثابتة، قالوا طب استنى شوية، من الثابت هذا معناته + +358 +00:29:24,580 --> 00:29:29,080 +بقاش كاملة، بقدر أطلع هذه برا out؟ ما بقدرش أطلعها + +359 +00:29:29,080 --> 00:29:33,880 +out، قال لي حلو، واحدة واحدة، طيب، كيف إيه؟ قال لي هذه + +360 +00:29:33,880 --> 00:29:39,720 +الزاوية إيه، صح؟ تخيّلولي إيه، تبعة البقلة الأعلى، + +361 +00:29:39,720 --> 00:29:45,190 +صح؟ قدّيش الزاوية بينهم؟ تسعين، زيّها، إذا + +362 +00:29:45,190 --> 00:29:48,890 +طبعاً ما بدّيش إيه أطلّع، مش محتاج أطلّع، ما له هذا + +363 +00:29:48,890 --> 00:29:53,490 +الصغير؟ صفر، غلبني؟ + +364 +00:29:53,490 --> 00:30:00,350 +لا، حتى لو ما طلعتش، مغلبنيه، طب وهذا؟ زيّه، نيجي لهذا + +365 +00:30:00,350 --> 00:30:03,210 +اللي تحت، طول ما النملة ماشية على السطح الجانبي + +366 +00:30:03,210 --> 00:30:07,850 +بتجرّب ولا بتبعد عن الحمار؟ إذا E is constant، لأ + +367 +00:30:07,850 --> 00:30:11,930 +بتجرّب ولا بتبعد، إذا E is constant، قال لي هذا حلو، + +368 +00:30:12,730 --> 00:30:19,390 +طلعوا برا التكامل، تمام؟ طيب... ليش... احكي... خجلانة + +369 +00:30:19,390 --> 00:30:23,250 +ليش؟ لأ، سطح العلوي ما هو دائرة، مش دائرة، نصف قطرها + +370 +00:30:23,250 --> 00:30:27,270 +احكي، + +371 +00:30:27,270 --> 00:30:31,430 +كمّلي، أنا بسؤالك، خفيش، من الأسئلة، ما أحد يخاف من + +372 +00:30:31,430 --> 00:30:39,210 +الأسئلة، أنا بقول سطح ولا line؟ احكي، سطح ولا line؟ + +373 +00:30:39,210 --> 00:30:45,310 +دائرة ولا disk؟ عشان يكون سطح، احكي، بيخليها هي نور، + +374 +00:30:45,310 --> 00:30:55,310 +سطح، سطح، طيب، هذه النقطة على السطح، أه، وهذه النقطة، أه، + +375 +00:30:55,310 --> 00:31:00,850 +الاثنتين، نفس الجرب، لا، إنت إيش اعتبرتِ إنّ النملة غصب + +376 +00:31:00,850 --> 00:31:06,950 +عنها، بتضارب المحيط، أه، ومن جُلْجِلْ، هل المحيط surface، + +377 +00:31:06,950 --> 00:31:11,350 +إيش وحدة المحيط؟ إيش قانونه؟ + +378 +00:31:14,190 --> 00:31:20,830 +2πR، 2πR، R ولا R تربيع؟ إيش وحدته؟ + +379 +00:31:20,830 --> 00:31:26,030 +مساحة ولا طول؟ طول، لكن أنا بحكي عن سطح، السطح طول + +380 +00:31:26,030 --> 00:31:31,410 +ولا مساحة؟ مساحة، اللي هو πR تربيع، πR تربيع، إذا + +381 +00:31:31,410 --> 00:31:34,790 +أنا لما أقول سطح، ما بقولش إنّي أنا قصدي عينيك، بيبقى على + +382 +00:31:34,790 --> 00:31:41,100 +خاطِر المحيط، خاطِر بسّ، معوّج، مش يعني خطّ، أعمالي + +383 +00:31:41,100 --> 00:31:44,240 +دَوّارة، بيصير؟ فضل إنت... إنت قُلتِ لنا إنّ إحنا + +384 +00:31:44,240 --> 00:31:48,280 +ما اخترناش على أساس إنّه لكل الأطراف + +445 +00:37:00,810 --> 00:37:05,310 +صفر لأتنين باي كلها صح ولا لأ؟ طب تزيد من ولا و + +446 +00:37:05,310 --> 00:37:09,410 +لا نغيرها. اعتبروا الصفر منها + +447 +00:37:12,880 --> 00:37:20,760 +لأ، إيش بعد كده بدكم؟ لأ، الـ S من وين لوين أغيرها؟ + +448 +00:37:20,760 --> 00:37:24,260 +IR small؟ + +449 +00:37:24,260 --> 00:37:30,480 +معناته أنت اللي هان بيتعدى، في شحنات هنا؟ لأ + +450 +00:37:30,480 --> 00:37:36,000 +capital ناقص؟ ليش capital ناقص؟ من صفر، امشي + +451 +00:37:36,000 --> 00:37:40,770 +امشي امشي وين بخلص الحمار؟ بس R كابيتال ليه صوت + +452 +00:37:40,770 --> 00:37:44,850 +حقيقي اسمه الـ R؟ من صفر لـ R كابيتال بعد كده + +453 +00:37:44,850 --> 00:37:54,290 +بتكييش، في شحنات ضالة؟ إذا من صفر لـ R كابيتال؟ + +454 +00:37:54,290 --> 00:38:02,150 +مامشيتش؟ كيف؟ + +455 +00:38:02,150 --> 00:38:06,950 +ما فهمتكش يا نورة، من صفر لـ R + +456 +00:38:16,240 --> 00:38:24,620 +بس براو علينا، طب قوليلي أنت سؤالك، أنا بدي أعتبره + +457 +00:38:24,620 --> 00:38:31,060 +هو صح، raw constant جيبي الـ QA كلها؟ + +458 +00:38:31,060 --> 00:38:37,480 +والله كل الحمار بدك إياه؟ إيش + +459 +00:38:37,480 --> 00:38:45,120 +بيدك؟ اللي فيه ... طب شو؟ رو ثابتة، دير بالك رو أي + +460 +00:38:45,120 --> 00:38:50,040 +حجم بدك؟ + +461 +00:38:50,040 --> 00:38:57,020 +اللي هي by فئات إيش، حاطط هنا؟ small R ولا capital + +462 +00:38:57,020 --> 00:39:06,980 +R؟ capital لأنه ساعتها بدك الحجم هذا صح؟ + +463 +00:39:06,980 --> 00:39:12,220 +فقط، وبالتالي هاجي من الصوانة بيساوي مساحة القاعدة + +464 +00:39:12,220 --> 00:39:18,480 +في الارتفاع، فبصير باي كابيتل R تربيع في H مش small + +465 +00:39:18,480 --> 00:39:22,800 +r تربيع، وعشان كده احنا بيجي نطوي حدود التكامل من + +466 +00:39:22,800 --> 00:39:31,660 +صفر لكابيتل R، من صفر لأتنين باي، ومن صفر لـ H هيك + +467 +00:39:31,660 --> 00:39:37,240 +بأضمن فقط الشحنات + +468 +00:39:37,240 --> 00:39:42,180 +اللي داخل سطح جاوس، فهمتوا عليا؟ أي الصفسر دي بابكم + +469 +00:39:42,180 --> 00:39:44,820 +أنا بركز عليها وبقولكم انتبهوا واعملوا شوية ... + +470 +00:39:44,820 --> 00:39:47,800 +لأنه أنا عارف هاي تركاتنا، هاي تركاتنا، وهاي طالب + +471 +00:39:47,800 --> 00:39:54,800 +بيخربط هنا، بيخربط هنا، الطالب الشغلات + +472 +00:39:54,800 --> 00:39:58,560 +كتيرة بتكون شبه واضحة لكن أندي تركات بسيطة أنت + +473 +00:39:58,560 --> 00:40:02,840 +حللتها صح ولا خربتها؟ آه، بتخربط لأن أنت بتكونش مركز + +474 +00:40:02,840 --> 00:40:06,400 +عشان بتسرع، وعشان كده احنا بنقول ممنوع الطالب + +475 +00:40:06,400 --> 00:40:11,180 +يقون جواز ما يفهموش بكل تفاصيله، بكل ملحقاته، بكل + +476 +00:40:11,180 --> 00:40:16,720 +حاجة فيه، أنا لما أقول هذا لسطح جاوس، هذا للشحنات، + +477 +00:40:16,720 --> 00:40:20,500 +هذه شحنات، بس داخل سطح جاوس، آه، بس شحنات، بالجيش + +478 +00:40:20,500 --> 00:40:26,080 +أجمع ما طيّ، خافش فيها شحنات، وبالتالي لما تقول لي من + +479 +00:40:26,080 --> 00:40:30,640 +صفر لـ small R، أنت قاعد تجمع فراغ، أنت قاعد تجمع + +480 +00:40:30,640 --> 00:40:35,480 +فراغ، قعدت أنا وأنا قاعد بقى أشغل برضه بيهمش احنا + +481 +00:40:35,480 --> 00:40:40,300 +علم رياضيات ننظرنا نفوت فيه، أنا أقول لك لو الطلاب و + +482 +00:40:40,300 --> 00:40:43,620 +هم ... ما بنشرح لهم، أقول له أنا قلت لك في عندي شحنات + +483 +00:40:43,620 --> 00:40:47,580 +في هذا المربع وأجمعنا الشحنات، بنفع تجمع من هنا + +484 +00:40:47,580 --> 00:40:53,180 +لهناك، تجمع من هنا لهنا، نقل يقول لي طب ليش أجمع من + +485 +00:40:53,180 --> 00:40:56,140 +هنا لهنا، ما هو هنا في الشحنات هتطلع صفر، وقالوا + +486 +00:40:56,140 --> 00:41:01,780 +مين قال لك أن التكامل ذكي زيك؟ التكامل في الآخر بيكامل + +487 +00:41:01,780 --> 00:41:06,000 +على X و Y ومش بعرفوا هذه X فيها أعداد ولا لأ، أنت + +488 +00:41:06,000 --> 00:41:10,300 +قلت له اتبع جامع، فبيصير جامع غلط مش زي أنه وأنا + +489 +00:41:10,300 --> 00:41:12,520 +هتقول هو أنا مش هناك هتطلع معاه صفر وبتطلعش معاه + +490 +00:41:12,520 --> 00:41:15,420 +صفر، عشان كده أنتم في الكلب كلاص إيش علمته في + +491 +00:41:15,420 --> 00:41:20,060 +التنوية لما يجيكم في شغل زي هيك، كاملوا من الـ hand + +492 +00:41:20,060 --> 00:41:25,650 +صفر، صح؟ لكن المساحة صفر، لأ، جالك ما تكاملهاش من أول + +493 +00:41:25,650 --> 00:41:30,470 +لآخر، لأنه تكامل غابة، تكامل تطلع معاه صفر النتيجة + +494 +00:41:30,470 --> 00:41:35,730 +وأنت حقيقة المساحة بتساوي صفر، لوينه بتساوي صفر، المساحة + +495 +00:41:35,730 --> 00:41:38,890 +هذه زادت، هذه، فبقول لك كامل من هالمنطقة، ثم كامل من + +496 +00:41:38,890 --> 00:41:43,870 +هالمنطقة، عشان تطلع معاك صح، فبالتالي وأنت بتقوله أجمع + +497 +00:41:43,870 --> 00:41:47,130 +بدأت تكبهش تقوله أجمع المنطقة اللي فيش فيها شغلات + +498 +00:41:47,130 --> 00:41:51,680 +بتجمعها، تخليهاش يروح عليها، زي لما واحد يقول أنا بدي + +499 +00:41:51,680 --> 00:41:55,580 +أي معبنات الصفة ده، أبدأ من أول حتة الجامعة لآخر + +500 +00:41:55,580 --> 00:42:00,340 +حتة الجامعة، وبدي أكوم لكل الطلاب والطالبات؟ لأ + +501 +00:42:00,340 --> 00:42:02,840 +أنا بدي هنا أبدأ من أول الحياطة لآخر الحياطة وبس + +502 +00:42:02,840 --> 00:42:09,040 +وبالتالي هنا بدي أبدأ من هان وأخلصها، خلص الشحنات + +503 +00:42:09,040 --> 00:42:12,740 +اللي قاعد بيجمع فيها، مش واحد يقول لي طب خلني أكمل + +504 +00:42:12,740 --> 00:42:16,340 +ما هو هيطلع صفر، بيطلعش صفر، بيجمعش صفر، يعني هو + +505 +00:42:16,340 --> 00:42:20,220 +ميكونش مركز إن أنت في فراغات، لأ الجواب هيطلع غلط + +506 +00:42:21,660 --> 00:42:26,140 +بالقطع، تمام، إذن معناته بعد ما أنا أعمل a queueing + +507 +00:42:26,140 --> 00:42:30,960 +clause بتطلع عندي النتيجة، إذا اتفقنا هذه هي E في + +508 +00:42:30,960 --> 00:42:33,920 +A، بقول from the symmetry... هذا بس في عيد اللي + +509 +00:42:33,920 --> 00:42:37,500 +عمله، ليش هذا السفر وهذا السفر؟ و ليش ده طلعت E + +510 +00:42:37,500 --> 00:42:39,820 +في A؟ بقول from the symmetry of the system E is + +511 +00:42:39,820 --> 00:42:43,860 +parallel to B of bases، قال لي E للـ bases parallel + +512 +00:42:43,860 --> 00:42:48,830 +يعني عمودي على الـ area، It has a constant magnitude + +513 +00:42:48,830 --> 00:42:52,330 +undirected radially outward at every point on the + +514 +00:42:52,330 --> 00:42:55,490 +curved surface of the cylinder، إذن هذه راحت وهذه + +515 +00:42:55,490 --> 00:43:00,310 +راحت وهذه E في الـ A، أظل عندي Q enclosed، Q enclosed + +516 +00:43:00,310 --> 00:43:03,910 +بتساوي رو دي تاو، أنا حطيت شرطة بس عشان أميز، ما + +517 +00:43:03,910 --> 00:43:08,950 +أنتم عارفين الشرطة لكل حاجة، الشحنة، فـ Kds و Ps + +518 +00:43:08,950 --> 00:43:14,210 +الـ Z من صفر لـ H، الـ 5 من صفر لـ 2π، وهذه من صفر لوين؟ + +519 +00:43:14,210 --> 00:43:19,530 +لـ capital R، طلعت الـ Q enclosed، خلص السؤال تمام أنت + +520 +00:43:19,530 --> 00:43:24,470 +قلت لي E في A بيساوي Q enclosed على E Note، هذه + +521 +00:43:24,470 --> 00:43:31,770 +المساحة الجانبية 2 باي small r في H، لأن هذه سطح + +522 +00:43:31,770 --> 00:43:38,810 +جاوس صح؟ وهذه الـ Q enclosed طلعت ليها 2 على 3 باي K + +523 +00:43:38,810 --> 00:43:44,890 +H R تكعيب، خلصنا، شوفوا H مع H + +524 +00:43:48,250 --> 00:43:52,370 +ماذا يعني H هذه؟ ارتفاع الصوانة، هل تذكرين اللي + +525 +00:43:52,370 --> 00:43:58,210 +أخذ كل الصوانة، كبر أشتغاله، غير إجابته؟ هل + +526 +00:43:58,210 --> 00:44:02,110 +إجابته هتكبر ولا تصغر؟ بس هو عمل غلطة كبيرة، لكن + +527 +00:44:02,110 --> 00:44:06,350 +في الآخر، الـ H هذه، أنا عملت هيك، يقول لي لو أنت + +528 +00:44:06,350 --> 00:44:09,650 +عملت هيك، هتطلع إجابتك يعني، في النهاية أصغر من + +529 +00:44:09,650 --> 00:44:13,410 +هذه الإجابة؟ لأ، ما يصحش، أنت عارفة، مالهش لوجة، شغلها + +530 +00:44:13,410 --> 00:44:17,940 +منطقية، لأنه حاجة عشوائية وأنا بأخذها وبالتالي مش + +531 +00:44:17,940 --> 00:44:21,360 +مفروض تبين الـ H هذه، فهي راحت الـ H ما عادش راحت + +532 +00:44:21,360 --> 00:44:29,460 +وطلعت النتيجة بهذا الشكل بس + +533 +00:44:29,460 --> 00:44:36,400 +وجرى تعوضت وطلعها هي الـ Ten and pi مع الـ Ten + +534 +00:44:36,400 --> 00:44:41,410 +and pi بتروح، الـ K R تكعيب والثلاثة والإبسلون + +535 +00:44:41,410 --> 00:44:46,070 +تبعها القانون وهي R صارت في المقام، مجرد تعويض، أي + +536 +00:44:46,070 --> 00:44:53,210 +استفسار يا بنات؟ إذا لما تكون رو مش constant، بس + +537 +00:44:53,210 --> 00:44:59,950 +مجرد بخليها جوا وبكامل عادي، طيب اللي أنا المطلوب + +538 +00:44:59,950 --> 00:45:06,090 +الثاني بقول طيب بدي هلقيت جوا، عشان كده كاملته عشان + +539 +00:45:06,090 --> 00:45:14,220 +أعرف أخش جوا السلك، احكي لأ، مظبوط بس أس محتوطة R، آه + +540 +00:45:14,220 --> 00:45:18,820 +آه، هنا في خطأ مطبعي، كان هي أس، هي المفروض تكون R + +541 +00:45:18,820 --> 00:45:22,620 +برا، تمام، شفت عند الشباب صراحة هنا ما شفتهاش، أنا عند + +542 +00:45:22,620 --> 00:45:25,020 +الشباب عدلت بس هنا ما أنا ما غيرتش، وين هي الجابيل + +543 +00:45:25,020 --> 00:45:30,560 +هذي؟ لأ، هي بقت هي، لأني أنا ما طلبت أس تحت، مطبعي، آه + +544 +00:45:30,560 --> 00:45:34,180 +تمام + +545 +00:45:34,180 --> 00:45:38,020 +عندكم أس محتوطة؟ آه تمام، أنا شفتها عند الشباب في + +546 +00:45:38,020 --> 00:45:42,980 +منطقة معينة، وين أنا حاطيتها أظن، آه، بقعدي بشوفها + +547 +00:45:42,980 --> 00:45:49,260 +تمام، أنا أظن كمان مكرر الخطأ، to find the electric + +548 +00:45:49,260 --> 00:45:54,000 +field inside the cylinder، inside the cylinder، الآن + +549 +00:45:54,000 --> 00:45:57,360 +أنا بدي inside، يعني عند النقطة هادية، بنا تشوفينها + +550 +00:45:57,360 --> 00:46:02,850 +اختلط سطح جاوس هذول، إيش؟ نفس الشيء، في عندي ثاني + +551 +00:46:02,850 --> 00:46:06,990 +تكاملات، اتنين بروحهم، بظل عندي جانبي، صح ولا لأ؟ إذا + +552 +00:46:06,990 --> 00:46:11,850 +بالتالي هذا هو again، E is parallel to both bases + +553 +00:46:11,850 --> 00:46:15,630 +and constant for the curved surface، وبالتالي هذا + +554 +00:46:15,630 --> 00:46:22,760 +التكامل هو، آه هذه شوفينها، هذه R برضه صح؟ لأن هذا سطح + +555 +00:46:22,760 --> 00:46:28,920 +جاوس الأزرق، تدريش نسقط رو؟ آه، فهي أصلا اللي هداها + +556 +00:46:28,920 --> 00:46:35,100 +بالـ Q enclosed، تمام، الـ Q enclosed بديها يا بنات + +557 +00:46:35,100 --> 00:46:40,780 +الـ Q enclosed بالسوء تكامل رو دي تاو، تمام، هذه KS + +558 +00:46:40,780 --> 00:46:49,620 +مظبوط هيك؟ هذا معطى KS وهذه S دي، S دي، Phi دي، Z صح + +559 +00:46:49,620 --> 00:46:57,120 +ولا لأ؟ تمام، أعوض صارت K برا، تكامل r تربيع، وهي كمان + +560 +00:46:57,120 --> 00:47:04,920 +تكامل وهي كمان تكامل دي أس دي فاي دي زد، دي أس من + +561 +00:47:04,920 --> 00:47:12,620 +صفر لوين؟ هلو هلو، أوضح لك من كتابك، بدي أنا دي أس من + +562 +00:47:12,620 --> 00:47:16,080 +صفر لوين بتغير؟ بدي Q in + +563 +00:47:21,430 --> 00:47:27,810 +بدي شحنات داخل سطح Gauss؟ small R، لأن أنت بدي + +564 +00:47:27,810 --> 00:47:32,410 +الشحنات بس من هنا لهنا فقط، بعد كده إيش بيصير؟ Q + +565 +00:47:32,410 --> 00:47:38,310 +outside، و Q outside بتكاشف إياه، إذا أنت الـ DS من 0 + +566 +00:47:38,310 --> 00:47:43,370 +لـ capital R، وهذه من 0 لـ 2π، وهذه من 0 لـ H + +567 +00:47:46,170 --> 00:47:50,650 +the small r، احنا قلنا small r، إيش اتكتبنا يعني؟ + +568 +00:47:50,650 --> 00:47:54,770 +the small r، براو عليكم، فهمتوا كيف؟ إذا إن هيك وصلنا + +569 +00:47:54,770 --> 00:47:58,390 +لأن أنا بدي أجمع q inside the Gaussian surface + +570 +00:47:58,390 --> 00:48:02,530 +واللي داخل سطح Gaussian، يعني داخل الزراج وكله فيه + +571 +00:48:02,530 --> 00:48:07,350 +خمار جوه الزراج، إذا نسافر لـ capital R بنعمل النتيجة + +572 +00:48:07,350 --> 00:48:14,140 +ونطلّعها، خلصنا، إذا هنا قال لي Q enclosed من صفر إلى H + +573 +00:48:14,140 --> 00:48:18,980 +من صفر إلى 2π، ومن صفر إلى R، من صفر إلى small r طلع + +574 +00:48:18,980 --> 00:48:23,780 +الـ Q enclosed، وطبعاً لما أتيت وضعت هذه هنا، هذه ... + +575 +00:48:23,780 --> 00:48:30,180 +هذه كنا R وهذه R تكعيب، صارت R تربيع تمام؟ واشتغلنا + +576 +00:48:30,180 --> 00:48:35,020 +على 2π و 2π روحه، والـ H والـ H روحه، وطلع عندي + +577 +00:48:35,020 --> 00:48:41,810 +النتيجة E بتساوي KR تربيع على 3، يا نورة، عندي الخط + +578 +00:48:41,810 --> 00:48:46,990 +اللي هو الـ Axis، كم أقل بتكون؟ صفر، كم هي + +579 +00:48:46,990 --> 00:48:53,850 +النتيجة؟ صفر، هاي السيلندر، لو جيت خط هنا على + +580 +00:48:53,850 --> 00:48:58,190 +المركز، ماشي، وحاطط فيه سيمتري وفي شغلة منطقية أنه + +581 +00:48:58,190 --> 00:49:02,870 +يطلع صفر؟ شغلة منطقية أنه يطلع صفر، هاي استفسار؟ + +582 +00:49:06,320 --> 00:49:09,300 +تمام؟ احنا دي بالكم، احنا بدأنا هلقيت كهربا الشبط + +583 +00:49:09,300 --> 00:49:13,140 +الأول كان دلع رياضيات، أما هلقيت احنا خلصنا شينا + +584 +00:49:13,140 --> 00:49:17,520 +احنا كل شغلتنا كيف نجيب شدة المجال الكهربائي وجهد + +585 +00:49:17,520 --> 00:49:21,000 +الكهربائي، وفي نهاية مجال الكهربائي، وهي نبدأ + +586 +00:49:21,000 --> 00:49:25,000 +القانون، كلهم واحد، وقانون قوسك واحد، والشبط اللي جاي + +587 +00:49:25,000 --> 00:49:30,440 +في عندنا طريقة جديدة رياضية كله عشان كيف نحسب شدة + +588 +00:49:30,440 --> 00:49:34,300 +المجال الكهربائي للأشكال، يعطيكوا العافية diff --git a/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/zS4Jz3ZFZJw_raw.json b/PL9fwy3NUQKwb8Yr4PJahnfs83xGODOoxL/zS4Jz3ZFZJw_raw.json new file mode 100644 index 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وE is a vector quantity بلغوا بعض إذا كلامك صح والنتيجة اللي طلعتها قطعا صح أنه at the origin شدة المجال must be zero inside a solid sphere at the origin لكن لو مش origin بيبطل فيه symmetry بيصيرش في شحنات يبلغوا بعض في شحنات بيبلغوش بعض تمام؟ لأن لو كانت النقطة هنا", "tokens": [36, 307, 4018, 462, 1633, 312, 4018, 570, 295, 264, 25440, 4032, 36, 307, 257, 8062, 11275, 4724, 1211, 17082, 14407, 45030, 11242, 11933, 15730, 28242, 10943, 4117, 20328, 5016, 16070, 29399, 1829, 7435, 3660, 13672, 1829, 23032, 1211, 34268, 11296, 12174, 9566, 3615, 995, 20328, 5016, 14739, 3224, 412, 264, 4957, 13412, 41891, 9673, 7435, 6027, 1633, 312, 4018, 1854, 257, 5100, 16687, 412, 264, 4957, 44381, 45164, 37893, 4957, 4724, 1829, 3555, 9566, 1211, 8978, 3224, 25440, 4724, 1829, 9381, 13546, 8592, 8978, 13412, 5016, 8315, 2655, 7251, 36150, 17082, 14407, 45030, 11242, 8978, 13412, 5016, 8315, 2655, 4724, 1829, 36150, 17082, 2407, 8592, 45030, 11242, 46811, 10943, 22807, 5296, 33456, 45164, 25961, 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"end": 1302.34, "word": " symmetry", "probability": 0.90478515625}, {"start": 1302.34, "end": 1303.2, "word": " وE", "probability": 0.640625}, {"start": 1303.2, "end": 1303.44, "word": " is", "probability": 0.92236328125}, {"start": 1303.44, "end": 1303.56, "word": " a", "probability": 0.9521484375}, {"start": 1303.56, "end": 1303.78, "word": " vector", "probability": 0.9423828125}, {"start": 1303.78, "end": 1304.5, "word": " quantity", "probability": 0.97314453125}, {"start": 1304.5, "end": 1304.94, "word": " بلغوا", "probability": 0.8065185546875}, {"start": 1304.94, "end": 1305.26, "word": " بعض", "probability": 0.973876953125}, {"start": 1305.26, "end": 1305.92, "word": " إذا", "probability": 0.75537109375}, {"start": 1305.92, "end": 1306.44, "word": " كلامك", "probability": 0.92724609375}, {"start": 1306.44, "end": 1306.82, "word": " صح", "probability": 0.996337890625}, {"start": 1306.82, "end": 1307.3, "word": " والنتيجة", "probability": 0.88916015625}, {"start": 1307.3, "end": 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"word": " zero", "probability": 0.8076171875}, {"start": 1312.2, "end": 1312.76, "word": " inside", "probability": 0.83154296875}, {"start": 1312.76, "end": 1313.4, "word": " a", "probability": 0.96435546875}, {"start": 1313.4, "end": 1313.64, "word": " solid", "probability": 0.95556640625}, {"start": 1313.64, "end": 1314.2, "word": " sphere", "probability": 0.90576171875}, {"start": 1314.2, "end": 1314.9, "word": " at", "probability": 0.61474609375}, {"start": 1314.9, "end": 1315.06, "word": " the", "probability": 0.9287109375}, {"start": 1315.06, "end": 1315.48, "word": " origin", "probability": 0.9580078125}, {"start": 1315.48, "end": 1315.7, "word": " لكن", "probability": 0.91748046875}, {"start": 1315.7, "end": 1315.86, "word": " لو", "probability": 0.9541015625}, {"start": 1315.86, "end": 1316.02, "word": " مش", "probability": 0.953125}, {"start": 1316.02, "end": 1316.5, "word": " origin", "probability": 0.86328125}, {"start": 1316.5, "end": 1317.02, "word": " بيبطل", "probability": 0.841015625}, {"start": 1317.02, "end": 1317.18, "word": " فيه", "probability": 0.880859375}, {"start": 1317.18, "end": 1317.5, "word": " symmetry", "probability": 0.8408203125}, {"start": 1317.5, "end": 1318.38, "word": " بيصيرش", "probability": 0.83955078125}, {"start": 1318.38, "end": 1318.54, "word": " في", "probability": 0.33203125}, {"start": 1318.54, "end": 1319.62, "word": " شحنات", "probability": 0.83428955078125}, {"start": 1319.62, "end": 1320.1, "word": " يبلغوا", "probability": 0.916015625}, {"start": 1320.1, "end": 1320.34, "word": " بعض", "probability": 0.986328125}, {"start": 1320.34, "end": 1320.46, "word": " في", "probability": 0.67529296875}, {"start": 1320.46, "end": 1320.8, "word": " شحنات", "probability": 0.974609375}, {"start": 1320.8, "end": 1321.12, "word": " بيبلغوش", "probability": 0.7746988932291666}, {"start": 1321.12, "end": 1321.48, "word": " بعض", "probability": 0.933349609375}, {"start": 1321.48, "end": 1322.66, "word": " تمام؟", "probability": 0.6844889322916666}, {"start": 1322.66, "end": 1322.88, "word": " لأن", "probability": 0.837158203125}, {"start": 1322.88, "end": 1323.04, "word": " لو", "probability": 0.9326171875}, {"start": 1323.04, "end": 1323.26, "word": " كانت", "probability": 0.97607421875}, {"start": 1323.26, "end": 1323.54, "word": " النقطة", "probability": 0.97998046875}, {"start": 1323.54, "end": 1323.74, "word": " هنا", "probability": 0.9951171875}], "temperature": 1.0}, {"id": 52, "seek": 135074, "start": 1324.82, "end": 1350.74, "text": "بصير الهان أقل من الهان أما هان وين ما حطيت أيديك في مسواعي في الـ symmetry إذا Zero، Zero بالقطع Zero مافيش أي مشكلة تمام كمان مثل", "tokens": [3555, 9381, 13546, 2423, 3224, 7649, 5551, 4587, 1211, 9154, 2423, 3224, 7649, 5551, 15042, 8032, 7649, 4032, 9957, 19446, 11331, 9566, 36081, 36632, 16254, 4117, 8978, 47524, 14407, 3615, 1829, 8978, 2423, 39184, 25440, 11933, 15730, 17182, 12399, 17182, 20666, 47432, 3615, 17182, 19446, 41185, 8592, 36632, 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0.7638346354166666}, {"start": 1329.12, "end": 1329.68, "word": " أيديك", "probability": 0.69287109375}, {"start": 1329.68, "end": 1330.14, "word": " في", "probability": 0.890625}, {"start": 1330.14, "end": 1331.34, "word": " مسواعي", "probability": 0.6978759765625}, {"start": 1331.34, "end": 1331.98, "word": " في", "probability": 0.6142578125}, {"start": 1331.98, "end": 1332.24, "word": " الـ", "probability": 0.72802734375}, {"start": 1332.24, "end": 1332.56, "word": " symmetry", "probability": 0.548828125}, {"start": 1332.56, "end": 1333.06, "word": " إذا", "probability": 0.688232421875}, {"start": 1333.06, "end": 1333.48, "word": " Zero،", "probability": 0.211334228515625}, {"start": 1333.48, "end": 1333.86, "word": " Zero", "probability": 0.74169921875}, {"start": 1333.86, "end": 1334.42, "word": " بالقطع", "probability": 0.8504231770833334}, {"start": 1334.42, "end": 1334.78, "word": " Zero", "probability": 0.880859375}, {"start": 1334.78, "end": 1335.1, "word": " مافيش", "probability": 0.8115234375}, {"start": 1335.1, "end": 1335.2, "word": " أي", "probability": 0.763671875}, {"start": 1335.2, "end": 1337.0, "word": " مشكلة", "probability": 0.9894205729166666}, {"start": 1337.0, "end": 1341.16, "word": " تمام", "probability": 0.955810546875}, {"start": 1341.16, "end": 1350.26, "word": " كمان", "probability": 0.912109375}, {"start": 1350.26, "end": 1350.74, "word": " مثل", "probability": 0.7088623046875}], "temperature": 1.0}, {"id": 53, "seek": 137900, "start": 1352.56, "end": 1379.0, "text": "بيقول لي a long cylinder of radius capital R carries a charge density proportional to the distance from the axis ρ ميثابتة يا بنات شايفينها؟ إيش بتساوي؟ KS شوفوا لما يقول لي uniform بقوله ثابتة بطلحها برا التكامل صح ولا .. لكن لو ميثابتة بقوله دي نتيجتها أو علاقتها يداني علاقتها", "tokens": [3555, 1829, 39648, 32239, 257, 938, 17884, 295, 15845, 4238, 497, 16402, 257, 4602, 10305, 24969, 281, 264, 4560, 490, 264, 10298, 40750, 3714, 1829, 12984, 16758, 2655, 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"word": " عند", "probability": 0.91650390625}, {"start": 2755.88, "end": 2756.26, "word": " النقطة", "probability": 0.9638671875}, {"start": 2756.26, "end": 2756.6, "word": " هادية", "probability": 0.8264973958333334}, {"start": 2756.6, "end": 2756.78, "word": " بنا", "probability": 0.48614501953125}, {"start": 2756.78, "end": 2757.36, "word": " تشوفينها", "probability": 0.6114013671875}, {"start": 2757.36, "end": 2758.26, "word": " اختلط", "probability": 0.86328125}, {"start": 2758.26, "end": 2758.48, "word": " سطح", "probability": 0.9656575520833334}, {"start": 2758.48, "end": 2758.76, "word": " جاوس", "probability": 0.75048828125}, {"start": 2758.76, "end": 2759.14, "word": " هدهو", "probability": 0.6815185546875}], "temperature": 1.0}, {"id": 107, "seek": 277911, "start": 2760.41, "end": 2779.11, "text": "وليش؟ نفس الشيء في عندي تاني تكملات اتنين بروحه بظل عندي جانبي صح ولا لأ؟ اذا بالتالي هذا هو again E is parallel to both bases and constant for the curved surface وبالتالي هذا 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--> 00:01:00,260 +تمام جرى هذا القانون عشان يصير مفيدو يصير أحد + +8 +00:01:00,260 --> 00:01:05,180 +الطرق لحساب شدة المجال الكهربائي لابد أن هذه + +9 +00:01:05,180 --> 00:01:11,000 +المعاجلة يمكن الاستفادة منها بحيث تكون سهلة + +10 +00:01:11,000 --> 00:01:15,820 +التداول والتعامل وهذا لا يتأتى إلا إذا كان التكامل + +11 +00:01:15,820 --> 00:01:19,940 +قدرت أتعامل معه بسهولة وأسهل حاجة أتعامل معه ليس + +12 +00:01:19,940 --> 00:01:23,820 +التكامل كله يروح ويروح يصير Zero أو يكون Constant + +13 +00:01:23,820 --> 00:01:29,360 +وبالتاليجالي عشان تصير constant مش دايما تصير + +14 +00:01:29,360 --> 00:01:34,420 +constant لاتنطبق على تلت حالات، مهلاش رابع لازم + +15 +00:01:34,420 --> 00:01:39,060 +الجسم المشحون يكون كراوي أو استواني طويل جدا أو + +16 +00:01:39,060 --> 00:01:44,880 +مستوى كبير جدا، هيك اتفقنا وأثبتنا قانون Gauss من + +17 +00:01:44,880 --> 00:01:47,700 +قانون Coulomb لما جاء بيننا ال divergence وشوية + +18 +00:01:47,700 --> 00:01:51,740 +معلومات رياضية طلع القانون صحيح 100% طيب عشان قبل + +19 +00:01:51,740 --> 00:01:57,600 +ما انا افوض باستخداماته المعقدةبدي أنا وياكم + +20 +00:01:57,600 --> 00:02:01,760 +أطبقوا على شغل أنا بعرف إيجابتها إيه الشيء اللي + +21 +00:02:01,760 --> 00:02:08,200 +بتعرف إيجابتها؟ جالي ال point هاي شحنة بتعرف + +22 +00:02:08,200 --> 00:02:12,460 +قانونها لل point at charge؟ بدي أجيب شدة المجال + +23 +00:02:12,460 --> 00:02:17,800 +الكهربائي عند نقطة هذه يا بنات هذه R بدي شدة + +24 +00:02:17,800 --> 00:02:22,360 +المجال هنا مين يجيبليها؟ إيش قانونها؟جدّاش إيه؟ مش + +25 +00:02:22,360 --> 00:02:27,420 +ميقولي هذا خلّيها الـorigin بتساوي K مظبوط Q على R + +26 +00:02:27,420 --> 00:02:31,100 +تربى صح ولا لا؟ هذا القانون اللي بنعرفه قال يلّا + +27 +00:02:31,100 --> 00:02:35,060 +نشوف قانون Gauss بتطلعلي إجابة ولا بتطلعش الإجابة + +28 +00:02:35,060 --> 00:02:41,700 +أول حاجة هل الجسم المشحون من الأنواع التلاتة اللي + +29 +00:02:41,700 --> 00:02:45,680 +أنا قلت شرط ينطبق عليها قانون Gauss إيش هي الأشكال + +30 +00:02:45,680 --> 00:02:52,190 +التلاتة؟ نعيدها مع بعض كروي و أستوانيبلان، بلان، + +31 +00:02:52,190 --> 00:02:53,030 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +32 +00:02:53,030 --> 00:02:53,110 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +33 +00:02:53,110 --> 00:02:53,310 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +34 +00:02:53,310 --> 00:03:00,550 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +35 +00:03:00,550 --> 00:03:03,510 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +36 +00:03:03,510 --> 00:03:03,510 +بلان، بلان، بلان، بلان، بلان، بلان، بلان، بلان، + +37 +00:03:03,510 --> 00:03:07,190 +بلان، بلان، بلان، بلان، بلان، بلان،بنشوف، إيش + +38 +00:03:07,190 --> 00:03:12,050 +الخطوة التانية؟ قال لي اختار سطح جاوس صح ولا؟ سطح + +39 +00:03:12,050 --> 00:03:15,470 +جاوس أنا بدي أختاره، يعني هذا سطح وهمي، أنا اللي + +40 +00:03:15,470 --> 00:03:20,570 +بختاره إيش شرطه؟ قال لي إله شرطين أول لازم يكون + +41 +00:03:20,570 --> 00:03:24,490 +إنه نفس الشكل تبع الشحنات الشحنات شكلها؟ كروي إذا + +42 +00:03:24,490 --> 00:03:28,730 +إيش بده يكون؟ كروي الشعلة التانية، بده تكون النقطة + +43 +00:03:28,730 --> 00:03:31,870 +هذه موجودة على السطح إذا هدول الشرطين عشان + +44 +00:03:31,870 --> 00:03:36,860 +يتحققوا، لابد إن يكون السطح جاوس ده هووأحنا بنرسمه + +45 +00:03:36,860 --> 00:03:41,960 +منقط عشان نأكد أن هذا السطح وهمي أنا اللي اختارته + +46 +00:03:41,960 --> 00:03:47,720 +اتفجنا يا بنات؟ تمأ قاللي أنا ليش بعمل هيك؟ قاللي + +47 +00:03:47,720 --> 00:03:54,960 +عشان أضمن أن إيه مالها constant صح ولا لا؟ اتطلعوا + +48 +00:03:54,960 --> 00:03:58,200 +أين السطح هو شايفين أن السطح طول ما أنتوا ماشيين + +49 +00:03:58,200 --> 00:04:05,750 +عليه بتبعدوا ولا بتجربوا عن الشحنات؟بنفس البعد، + +50 +00:04:05,750 --> 00:04:11,430 +يعني إيه مالها؟ وانا هى اللي بدي إياها، عشان + +51 +00:04:11,430 --> 00:04:17,190 +إيه تكون constant؟ تمام؟ إذا هذه constant قطعا، + +52 +00:04:17,190 --> 00:04:23,370 +بتشوف هذي، إيش هذي؟ Dot، يعني بتجيب cosine زاوية، + +53 +00:04:23,370 --> 00:04:24,810 +بين مين ومين الزاوية؟ + +54 +00:04:27,320 --> 00:04:33,520 +بين E و A حلو نيجي أول خليني أي نقطة، هذه النقطة، + +55 +00:04:33,520 --> 00:04:39,320 +مين يقولي ايه؟ كيف اتجاهها؟ + +56 +00:04:39,320 --> 00:04:45,820 +و لا خارج؟ كيف؟ او + +57 +00:04:45,820 --> 00:04:48,860 +DS، مظبوط ولا لأ؟ طب مين يقولي عند النقطة هذه شدت + +58 +00:04:48,860 --> 00:04:56,620 +المجال كيف اتجاهه؟ شدت المجالأرسم خط المجال، خط + +59 +00:04:56,620 --> 00:05:04,720 +المجال، ارسميه من هناك كيف بقدره؟ كده + +60 +00:05:04,720 --> 00:05:10,560 +الزاوية بين E وD ايه؟ وقصان الـ Zero؟ واحد، اذا + +61 +00:05:10,560 --> 00:05:16,280 +هذه روحت وهذه ثابتة، ايه جلد هو التكامل؟ DS، DS + +62 +00:05:16,280 --> 00:05:21,420 +لمن انت بتعمل؟ لسطح Chaos، لسطح Chaos هذا، هذا كده + +63 +00:05:21,420 --> 00:05:28,330 +نص خطره؟R وقدّيش مساحة الكورة أربعة عبايا R تربية + +64 +00:05:28,330 --> 00:05:35,610 +فصلتها دي إيه؟ في أربعة عبايا R تربية بتساوي إيش + +65 +00:05:35,610 --> 00:05:42,010 +هذه؟ الـQ اللي جوا سطح جاوس في جوا سطح جاوس شحنات + +66 +00:05:42,010 --> 00:05:47,110 +ولا فش؟ قدّيش؟ + +67 +00:05:47,110 --> 00:05:53,530 +طلعولي إيه؟إذاً E بيساوي Q على أربعة باقي إبسلون + +68 +00:05:53,530 --> 00:06:01,970 +وات أرتر بيعيشها دي K إذاً هنا أنا بهذه الطريقة + +69 +00:06:01,970 --> 00:06:07,810 +السهلة بدي أركنعلى جاوس أنا أثبتت رياضيا بواسطة + +70 +00:06:07,810 --> 00:06:13,150 +كله وطبقته على الـ pointed chart وطلع صح إذن الآن + +71 +00:06:13,150 --> 00:06:18,610 +بالقطع قانون جاوس applicable وممكن نركن عليه بس + +72 +00:06:18,610 --> 00:06:23,030 +بشروط اللي حكيناها بس الحالات التلاتة الأشكال + +73 +00:06:23,030 --> 00:06:26,890 +الكراوية كلها والأشكال الصوانية بشرط إنها تكون + +74 +00:06:26,890 --> 00:06:31,670 +طويلة جدا والأشكال المسطحة بشرط إنها تكون كبيرة + +75 +00:06:31,670 --> 00:06:41,210 +جدا تمامالآن بدنا نيجي للمثال اللي عندي بيقول find + +76 +00:06:41,210 --> 00:06:48,170 +the electric field outside and inside a uniformly + +77 +00:06:48,170 --> 00:06:54,450 +charged sphere of radius capital R أنا هذه الخاطر + +78 +00:06:54,450 --> 00:06:58,290 +أعملها عشان أتفق مع اللي هناك هذه بدي أعملها A بس + +79 +00:06:58,290 --> 00:07:05,640 +لأنه في الرسمة في الآخر أنا عاملها Aمش هذا shift + +80 +00:07:05,640 --> 00:07:16,800 +إذا + +81 +00:07:16,800 --> 00:07:23,140 +بيقول لي عندك سفير نص خطرها إيه؟ مصممة وين ما في + +82 +00:07:23,140 --> 00:07:28,000 +لون أحمر في الشحناتيعني في شحنات برا وعالسطح و جوا + +83 +00:07:28,000 --> 00:07:34,440 +يعني عالسطح و جوا كلها مصمطة solid uniformed + +84 +00:07:34,440 --> 00:07:38,180 +charge solid sphere و نسقطها ايه؟ و بتحمل charge + +85 +00:07:38,180 --> 00:07:42,700 +مقدارها capital Q تمام + +86 +00:07:42,700 --> 00:07:47,880 +خلّينا بس نبح الهن و هيك كل ما عملناه هنا + +87 +00:07:55,050 --> 00:08:00,890 +تمتع بدي أشتغل طبعا على قانون جاوس أول حاجة الجسم + +88 +00:08:00,890 --> 00:08:05,130 +المشحون إيه شكله؟ إذا ينطبق قانون جاوس ولا لا؟ + +89 +00:08:05,130 --> 00:08:10,110 +ينطبق، خلاص، انتهى، ابدا أشتغل إيش تبيدك؟ بيقولي + +90 +00:08:10,110 --> 00:08:13,570 +بدي شرقة المجال برا و جوا برا و جوا معناته عبارة + +91 +00:08:13,570 --> 00:08:17,030 +عن سؤالين، فرعين نبدأ باللي برا، بدي أجيب شرقة + +92 +00:08:17,030 --> 00:08:19,630 +المجال برا، إيش يعني برا؟ بيقولي أي نقطة اختارها + +93 +00:08:19,630 --> 00:08:23,870 +برا، أي نقطة برا، ممكن تختار نقطة هناممكن تختارها + +94 +00:08:23,870 --> 00:08:27,590 +هنا، ممكن تختارها هنا، مظبوط ولا لا؟ بيقولّي هذه + +95 +00:08:27,590 --> 00:08:30,630 +النقطة السوداء، شايفينها؟ بدي أجيب شدة المجال + +96 +00:08:30,630 --> 00:08:35,310 +الكهربائي عند النقطة اللي شايفينها وهي قطعا + +97 +00:08:35,310 --> 00:08:41,370 +outside the sphere صح ولا لا؟ + +98 +00:08:41,370 --> 00:08:47,930 +تمام إيش الخطوة التالية؟ بدي أختار سطح جاوس سطح + +99 +00:08:47,930 --> 00:08:49,910 +جاوس اللي بدي أختاره لازم يكون نفس شكل الجسم + +100 +00:08:49,910 --> 00:08:56,190 +المشهوركرة الشغل التاني لازم تكون النقطة عليه عشان + +101 +00:08:56,190 --> 00:09:03,730 +نثبت إذا معناته هاي سطح جاوس شفتوا؟ هذا سطح جاوس + +102 +00:09:03,730 --> 00:09:10,090 +اللي اختارت لازم يكون concentric with the solid + +103 +00:09:10,090 --> 00:09:14,550 +sphere نفسها لأنه لو مااخترتهش هيك مافبقش معايا تم + +104 +00:09:16,620 --> 00:09:22,200 +أذاً للمنطقة الخارجية نختار جوزياً سفيرياً عبارة + +105 +00:09:22,200 --> 00:09:26,620 +عن سفير نسقطها اسمها الـR لأن الـpoint تبعد من + +106 +00:09:26,620 --> 00:09:31,600 +أسافرها الـR Concentric with the sphere طبعاً + +107 +00:09:31,600 --> 00:09:35,700 +للوهلة الأولى بيجي عند الواحد أكتر من فكرة بس أول + +108 +00:09:35,700 --> 00:09:39,400 +واحدة نتأكد سطح جاوس الوهم شايفينه؟ انت المنجق + +109 +00:09:39,400 --> 00:09:46,210 +خدوا كل النقاط في أي نقطة أنت بعيدةواللي جري بقى + +110 +00:09:46,210 --> 00:09:51,270 +عن النقطة اللي وراها اذا ثابت ايه واضح صحيح و احنا + +111 +00:09:51,270 --> 00:09:54,050 +نقول ان احنا كل شروطنا عشان ايش؟ عشان ندمن ثابت + +112 +00:09:54,050 --> 00:09:57,330 +ايه؟ واحد بيقول طب انت بيقول كرة كرة بينفع يعمل + +113 +00:09:57,330 --> 00:10:07,320 +هيك لأنهبصير مختلف إذا معناته أنت و احنا اتفقنا + +114 +00:10:07,320 --> 00:10:11,140 +أنك مازال عندك حرية اختيار بيتختار بحيث اتفهم + +115 +00:10:11,140 --> 00:10:15,340 +constant و بصير بعد بكرة ممارسة الواحد على طول + +116 +00:10:15,340 --> 00:10:19,540 +يعرف يجيب سطح جاوس لأنه يعرف أن اختيار آخر ما + +117 +00:10:19,540 --> 00:10:23,640 +بيظبط معاه فهمتوا عليها؟ و بصير مبرمج في مخه كيف + +118 +00:10:23,640 --> 00:10:27,820 +سطح جاوس المناسب اللي بديه يختاره فلازم يكون الـ + +119 +00:10:27,820 --> 00:10:34,000 +concentric موجود زي ما احنا شايفينه تمام؟الان E + +120 +00:10:34,000 --> 00:10:38,400 +constant قطعا، صح ولا لأ؟ بدي أحلل dot product + +121 +00:10:38,400 --> 00:10:42,840 +اللي في القانون كمان مرة، عند أي نقطة، عند أي + +122 +00:10:42,840 --> 00:10:53,260 +نقطة، بدي إيه؟ بتيجي عنصر الأقطار بدي E بتيجي عنصر + +123 +00:10:53,260 --> 00:10:59,520 +الأقطار، إذا برضه هذه E وهذه Aكانتش الزاوية بينهم؟ + +124 +00:10:59,520 --> 00:11:04,200 +dot product الزاوية zero قصان ال zero one إذا راحت + +125 +00:11:04,200 --> 00:11:09,320 +قال لي حلو هذا Q in على Q in close أو Q in كل واحد + +126 +00:11:09,320 --> 00:11:16,420 +تمام إذا اتفقنا الآن إيش زي اللي عندك؟ هذا طلعته + +127 +00:11:16,420 --> 00:11:24,240 +برا وتكامل ال D E A إيش هذه؟فتحجز و انت عطيته و + +128 +00:11:24,240 --> 00:11:28,040 +عندك عينين و بتشوف جوا فيه شحنات ولا فيه الشحنات + +129 +00:11:28,040 --> 00:11:33,040 +الشمال الشحنات اللي جوا كل الشحنات اللي هو جالك Q + +130 +00:11:33,040 --> 00:11:41,190 +خلص السؤالقال لي هذه هي Q هيها كلها الاثنان أيش + +131 +00:11:41,190 --> 00:11:47,170 +هي؟ كله جوا سطح جاوس إذا معناته قال لي إيه طلعتها + +132 +00:11:47,170 --> 00:11:51,490 +برا الذتر بيضاك ماحد يقولي أين راحت تكامل الـDA + +133 +00:11:51,490 --> 00:11:57,350 +مساحة إيش هذه؟ سطح جاوس يعني لأن في كورتين، الحمرة + +134 +00:11:57,350 --> 00:12:04,830 +ولا المنجقة؟ المنجقة لأن هذه لسطح جاوس صح؟ تمهذه + +135 +00:12:04,830 --> 00:12:08,430 +ايه بيسموها اربعة by ار تربيع مش اربعة by اي تربيع + +136 +00:12:08,430 --> 00:12:18,970 +صح قال هاي نتيجة تأكد أي استفسار هذا + +137 +00:12:18,970 --> 00:12:23,490 +بواسطة القانون جاهز طبعا لو انتوا طلعتوا هذه وهذه + +138 +00:12:23,490 --> 00:12:27,530 +بتيجي على سطر نفسه اذا بدي احطها يعني حلوا كم يجي + +139 +00:12:27,530 --> 00:12:32,170 +سطرسطح واحد بيقول طيب ايش الطريقة التانية اللي + +140 +00:12:32,170 --> 00:12:35,830 +ممكن احل فيها؟ بقوله فيه بيجدوا يقدروا يدفعوا ال E + +141 +00:12:35,830 --> 00:12:42,110 +بيسوأ 1 على 4 Pi إبسل نهر تكامل DQ على R تربية R + +142 +00:12:42,110 --> 00:12:46,630 +hat مظبوط ولا لأ؟ وهذه في حالتك هي رو دي في او دي + +143 +00:12:46,630 --> 00:12:51,650 +تاو صح ولا لأ؟ وبدأت تشتغل هذه بتجيبها عبارة عن R + +144 +00:12:51,650 --> 00:12:56,590 +تربية صين ثيتا دي ثيتا دي فاي دي R وابدأ اشتغل + +145 +00:12:57,690 --> 00:13:01,670 +بتطلّق نتيجة و الله بتطلّق نتيجة بس إذا كان صفحة + +146 +00:13:01,670 --> 00:13:05,790 +بدّاك يمكن بدك صفحتين مش مشكلة الصفحات تتخاص مش + +147 +00:13:05,790 --> 00:13:10,190 +مشكلة عدد الصفحات المشكلة إن أنت بدك مهارات رياضية + +148 +00:13:10,190 --> 00:13:14,270 +شوية متقدمة عشان تقدر تطلّع النتيجة يعني مش مجرد + +149 +00:13:14,270 --> 00:13:18,650 +إنك تعطي صفحات و أسطور بعلّه و هنحله شوية بعد كده + +150 +00:13:18,650 --> 00:13:22,850 +بالطريقة هذه و نشوف كدهش بيكون في صعوبة انك تتعامل + +151 +00:13:22,850 --> 00:13:26,520 +معاهوبالتالي أسهر طريقة ممكن واحد يواجهها .. احنا + +152 +00:13:26,520 --> 00:13:31,320 +هناخد اربع أو خمس طرق عشان نحسب ايه .. تمام؟ أسهر + +153 +00:13:31,320 --> 00:13:35,260 +طريقة على الإطلاق هي قانون Gauss .. بس مع الأسف + +154 +00:13:35,260 --> 00:13:38,160 +أنه لا ينطبق على جميع الأسكال .. هيعيبه .. + +155 +00:13:38,160 --> 00:13:40,980 +وبالتالي أنا مجبر أن يكون عندي طرق أخرى .. لأنه + +156 +00:13:40,980 --> 00:13:44,800 +مرات بتواجهني شكل لا هو كروي ولا هو أسوان طويل ولا + +157 +00:13:44,800 --> 00:13:49,140 +هو مسطح كبير .. وبالتالي قانون Gauss مصعفنيش .. + +158 +00:13:49,140 --> 00:13:52,960 +لكن أسهر طريقة على الإطلاق في الحل هي Gaussلأنه + +159 +00:13:52,960 --> 00:13:57,360 +على طول سطرين، تلاتة، خلصت، لا بد وبدّيش مهارات + +160 +00:13:57,360 --> 00:14:02,180 +رياضية، أصلا التكامل اللي فيه اللي كان يخوف أنا + +161 +00:14:02,180 --> 00:14:06,620 +أصلا موته، قولت E ثابتة، بطل فيه تكامل، إيش تكامل + +162 +00:14:06,620 --> 00:14:11,180 +الـDA؟ إيه، بطل فيه عندي أي مشكلة رياضية، وبالتالي + +163 +00:14:11,180 --> 00:14:15,740 +قانون جاس، سهل جدا في التعامل، بس أعرف كيف أطبقه + +164 +00:14:15,740 --> 00:14:19,880 +وكيف أتعامل معاه بسهولة جدا، أي استفسار يا بنات؟ + +165 +00:14:22,200 --> 00:14:26,720 +حلو، الآن قال لي طب لو كانت النقطة جوا، يالا + +166 +00:14:26,720 --> 00:14:30,580 +النقطة جوا، النقطة جوا، بيقول لي for the inside + +167 +00:14:30,580 --> 00:14:33,480 +region، أيش اللي بدت تختلف؟ النقطة كانت برا، صارت + +168 +00:14:33,480 --> 00:14:37,360 +جوا، هاي الرسم ايه؟ وين بدك شدت المجال؟ عندي + +169 +00:14:37,360 --> 00:14:41,270 +النقطة هذه، صح ولا لأ؟الشكل كاروي يعني تبقى عليه + +170 +00:14:41,270 --> 00:14:45,450 +قانون الجاوس اختار سطح جاوس كاروي بس ايش اللي هو + +171 +00:14:45,450 --> 00:14:48,370 +اللي بفرق هال gate هذه النقطة ممكن تكون سطح الجاوس + +172 +00:14:48,370 --> 00:14:51,130 +الأولاني لو اختارت سطح الجاوس الأولاني بس النقطة + +173 +00:14:51,130 --> 00:14:56,370 +جوا مش عليه وبالتالي سطح الجاوس اختاروا هيك هاي + +174 +00:14:56,370 --> 00:15:02,230 +سطح الجاوس في بتعنيك أيه؟ عشان النقطة أضمنها وين؟ + +175 +00:15:02,230 --> 00:15:07,270 +عليها، السطح تمام؟ الأول كان هنا السطح ممكن تكون + +176 +00:15:07,270 --> 00:15:13,090 +النقطة تمام؟ مافيش فيها أيشكمان مرة التكامل المغلق + +177 +00:15:13,090 --> 00:15:19,710 +E dot الـDS سواء Q enclosed على Epsilon Not مش هي + +178 +00:15:19,710 --> 00:15:25,310 +قانون جاوس؟ يلّا اتفجنا الآن و انا مغمّض ان E is + +179 +00:15:25,310 --> 00:15:28,650 +constant ولا لا و ال dot productive بتعطيك ال + +180 +00:15:28,650 --> 00:15:33,130 +cosine الـ01 فE ايش تكامل الـDS؟ بقوله والله أربعة + +181 +00:15:33,130 --> 00:15:37,010 +by R تربيع لأن هذه R نسقطه على سطح جاوس، سطح جاوس + +182 +00:15:37,010 --> 00:15:44,080 +تتغير، بتساومهذه إبسلونات هذه ليس عليها خلاف أي + +183 +00:15:44,080 --> 00:15:53,080 +شحنة بدك الداخل هل كل الحمار؟ بدي جزء فقط أنا بس + +184 +00:15:53,080 --> 00:15:58,820 +بدي شحنة تالية طب هذا نص ولا ربع ولا تلت؟مش عارف + +185 +00:15:58,820 --> 00:16:02,740 +حسب R مظبوطة ولا لا قال لي طيب مافي شغلة حلوة + +186 +00:16:02,740 --> 00:16:08,520 +بتديكي إياها Raw بتقدر تقول أنت Q enclosed بسوء + +187 +00:16:08,520 --> 00:16:13,840 +Raw في V enclosed صح؟ + +188 +00:16:13,840 --> 00:16:17,140 +كدهش يعني V enclosed؟ يعني هذا الحجم، هذا الغامق + +189 +00:16:17,140 --> 00:16:22,300 +طب هذا V enclosed بتقدر تقوله عبارة عن 4 على 3 by + +190 +00:16:22,300 --> 00:16:27,750 +R تكعيب؟ صحيح ولا لأ؟ هذا Vطب هدى رومان وين + +191 +00:16:27,750 --> 00:16:32,870 +جيبتها؟ والله معلومة دون أيها صح ولا لأ؟ طيب أنا + +192 +00:16:32,870 --> 00:16:37,310 +جيتك إياها في المعطيات؟ لأ حول إياها لمعطياتك بقول + +193 +00:16:37,310 --> 00:16:41,690 +لهم أنت بتقول لي uniformly بقدر أقولك هدى بيسوي + +194 +00:16:41,690 --> 00:16:47,730 +capital Q على 4 على 3 pi r تكعيب أو اي تكعيب صح + +195 +00:16:47,730 --> 00:16:51,750 +ولا لأ؟ما هي Raw نفسها، ما هو Uniform، الثابتة لأ + +196 +00:16:51,750 --> 00:16:55,630 +بتسوي الـQ الصغيرة على الحجم الصغير لأ بتسوي الـQ + +197 +00:16:55,630 --> 00:16:58,630 +الكبيرة على الحجم الكبير زي لما كنا بقولنا و الله + +198 +00:16:58,630 --> 00:17:05,910 +Lambda إما بتسوي DQ على DX أو بتسوي Q على L مظبوط + +199 +00:17:05,910 --> 00:17:13,330 +ولا لأ؟ وهذه نفس العملية طيب هذه 4π على 3 و هين 4π + +200 +00:17:13,330 --> 00:17:20,940 +على 3؟ روحوا صح؟ فصارت Q enclosedبنصوره R تكعيب + +201 +00:17:20,940 --> 00:17:26,420 +على A تكعيب هي كل الـ clauses اللي بتدور عليها في + +202 +00:17:26,420 --> 00:17:34,940 +الـ show في الـ Q capital، برافو إذا + +203 +00:17:34,940 --> 00:17:41,720 +هذه ساعة Q R تكعيب وهي A تكعيب صحيك؟ طيب هنا في R + +204 +00:17:41,720 --> 00:17:48,270 +تربيع وهنا في R تكعيب بضل Rإذاً E جسم على أربعة + +205 +00:17:48,270 --> 00:17:53,870 +باى صارت Q على أربعة باى أبسلون نوت وهنا E تكيّب + +206 +00:17:53,870 --> 00:17:58,410 +وهنا أبسلون ر أبسلون ر أبسلون ر أبسلون ر أبسلون ر + +207 +00:17:58,410 --> 00:18:00,950 +أبسلون ر أبسلون ر أبسلون ر أبسلون ر أبسلون ر + +208 +00:18:00,950 --> 00:18:03,730 +أبسلون ر أبسلون ر أبسلون ر أبسلون ر أبسلون ر + +209 +00:18:03,730 --> 00:18:03,730 +أبسلون ر أبسلون ر أبسلون ر أبسلون ر أبسلون ر + +210 +00:18:03,730 --> 00:18:03,730 +أبسلون ر أبسلون ر أبسلون ر أبسلون ر أبسلون ر + +211 +00:18:03,730 --> 00:18:10,510 +أبسلون ر أبسلون ر أبسلون ر أبسلون ر أبسلون + +212 +00:18:10,510 --> 00:18:12,890 +ر أبس + +213 +00:18:18,020 --> 00:18:20,700 +إذن هذا الـ Gaussian Surface لكي نجد .. قال لي + +214 +00:18:20,700 --> 00:18:24,640 +مشكلتك الآن Qin كله متعمرته في الأول لكي نجد الـ + +215 +00:18:24,640 --> 00:18:29,120 +Qin داخل الـ Gaussian Surface of Volume VIN و + +216 +00:18:29,120 --> 00:18:33,380 +نستخدم الحقيقة أن الـ Qin بيساوي V Vin تمام هذا هو + +217 +00:18:33,380 --> 00:18:37,740 +.. هذه الحجم اللي بديها الشحنات داخل هذا الحجم قال + +218 +00:18:37,740 --> 00:18:41,520 +لي هذه و ال raw is the volume charge density and + +219 +00:18:41,520 --> 00:18:45,080 +knowing that VIN بيساوي أربع على تلاتة بي ار تكعيب + +220 +00:18:45,590 --> 00:18:49,890 +تطلع عندي row بتسوي الـ total Q على ال total + +221 +00:18:49,890 --> 00:19:00,170 +volume طلعت Q in و منها طلعت النتيجة طبعا + +222 +00:19:00,170 --> 00:19:04,690 +.. طبعا عليا عندي + +223 +00:19:04,690 --> 00:19:08,810 +المركز من هذه النتيجة الأخيرة كده تتوقع شدة + +224 +00:19:08,810 --> 00:19:14,300 +المجال؟يعني انا كل شي بتعوضته محل ايه ايش؟ محل R + +225 +00:19:14,300 --> 00:19:18,600 +صفر طلع الصفر سألني طالب المراهدي قبل ما ياخد قال + +226 +00:19:18,600 --> 00:19:23,020 +لي ماشي انت بتقول ايه بيسوي KQ على R تربيع؟ قلت له + +227 +00:19:23,020 --> 00:19:26,790 +اهقال لي طيب لما انا اجرب على الشحنة كتير جداش R + +228 +00:19:26,790 --> 00:19:30,410 +بصير بقوله سفر و اقولك كيف بتشتغل من النهاية؟ و + +229 +00:19:30,410 --> 00:19:33,890 +انت تقول له هذا القانون اصلا لازم احط R أكبر من + +230 +00:19:33,890 --> 00:19:37,770 +Zero مانفعش تكون جوا شوف انت لما تكون جوا مش + +231 +00:19:37,770 --> 00:19:41,290 +القانون هذا بختلف القانون تمام؟ اذا هذه لازم R + +232 +00:19:41,290 --> 00:19:45,470 +تكون أكبر من Zero انا بقول القانون و ب guess R بعد + +233 +00:19:45,470 --> 00:19:49,890 +النقطة عن المركز بس انا بدي أكون نقطة برا الشحنة و + +234 +00:19:49,890 --> 00:19:54,060 +النقطة عشان نسقطها Zeroيعني هذا القانون اللي انا + +235 +00:19:54,060 --> 00:19:58,960 +طلعته في المطلوب الأول لما تكون R أكبر من A صح؟ + +236 +00:19:58,960 --> 00:20:03,080 +لكن لما R أقل من A طلعش في القانون؟ هيك طيب خلّيني + +237 +00:20:03,080 --> 00:20:07,400 +انا وياكم نفكر بهذه الشغلة طلعت Zero عند المركز + +238 +00:20:07,400 --> 00:20:14,420 +طلعت Zero طب هل لها تفسير منطقي هذا الـ Zero؟ + +239 +00:20:14,420 --> 00:20:16,620 +مش عارف طيب + +240 +00:20:35,380 --> 00:20:40,840 +عندي المركز Zero طيب Zero قطعا النتيجة طلعت Zero + +241 +00:20:40,840 --> 00:20:44,120 +عوضت محل R ب Zero طلعت Zero ليش فيها شطارة؟ طب بدي + +242 +00:20:44,120 --> 00:20:47,220 +انا اقنع حالي ان انا ناس Zero جاله انت لو جيش + +243 +00:20:47,220 --> 00:20:51,020 +تشتغلت على قانون كلهمإيش بتعمل؟ بقوله بعمل باخد + +244 +00:20:51,020 --> 00:20:56,220 +عناصر و لا بدي DQ طيب يالا ناخد DQ قاللي خد .. هاد + +245 +00:20:56,220 --> 00:21:01,360 +كله هنا فيه حمار كان قاللي هادي شحنة ولا مش شحنة؟ + +246 +00:21:01,360 --> 00:21:07,840 +طيب .. و هادي .. و رضو شحنة إذا هنا فيه عنصر عندك + +247 +00:21:07,840 --> 00:21:11,060 +اجبالك عنصر إذا هنا فيه عنصر و هنا فيه عنصر و هادي + +248 +00:21:11,060 --> 00:21:14,460 +الأبعاد متساوية جيبلي اتجاه المجال تبع حادة هنا + +249 +00:21:14,460 --> 00:21:22,620 +اتجاه المجالمن هنا تجاه المجال هيه صح ولا لأ؟ طبعا + +250 +00:21:22,620 --> 00:21:27,900 +هادي بلغوا بعض ولا لا بلغوش بعض؟ طب لو حتى أنا + +251 +00:21:27,900 --> 00:21:31,740 +عنصر في زيها هنا إذن هادي ما هي هادي في تماثل + +252 +00:21:31,740 --> 00:21:36,960 +حوالي نقطة zero وبالتالي شغلة منطقية أن طبعا E is + +253 +00:21:36,960 --> 00:21:41,900 +zeroE is zero E must be zero because of the + +254 +00:21:41,900 --> 00:21:45,920 +symmetry وE is a vector quantity بلغوا بعض إذا + +255 +00:21:45,920 --> 00:21:49,600 +كلامك صح والنتيجة اللي طلعتها قطعا صح أنه at the + +256 +00:21:49,600 --> 00:21:53,640 +origin شدة المجال must be zero inside a solid + +257 +00:21:53,640 --> 00:21:57,180 +sphere at the origin لكن لو مش origin بيبطل فيه + +258 +00:21:57,180 --> 00:22:00,800 +symmetry بيصيرش في شحنات يبلغوا بعض في شحنات + +259 +00:22:00,800 --> 00:22:05,720 +بيبلغوش بعض تمام؟ لأن لو كانت النقطة هنابصير الهان + +260 +00:22:05,720 --> 00:22:11,340 +أقل من الهان أما هان وين ما حطيت أيديك في مسواعي + +261 +00:22:11,340 --> 00:22:15,100 +في الـ symmetry إذا Zero، Zero بالقطع Zero مافيش + +262 +00:22:15,100 --> 00:22:21,160 +أي مشكلة تمام + +263 +00:22:21,160 --> 00:22:30,260 +كمان + +264 +00:22:30,260 --> 00:22:38,220 +مثلبيقول لي a long cylinder of radius capital R + +265 +00:22:38,220 --> 00:22:42,380 +carries a charge density proportional to the + +266 +00:22:42,380 --> 00:22:47,560 +distance from the axis ρ ميثابتة يا بنات شايفينها؟ + +267 +00:22:47,560 --> 00:22:51,980 +إيش بتساوي؟ KS شوفوا لما يقول لي uniform بقوله + +268 +00:22:51,980 --> 00:22:55,100 +ثابتة بطلحها برا التكامل صح ولا .. لكن لو ميثابتة + +269 +00:22:55,100 --> 00:23:00,400 +بقوله دي نتيجتها أو علاقتها يداني علاقتهاالشي S + +270 +00:23:00,400 --> 00:23:07,000 +هذه بعدها عن الـ Axis O يعني أنت بتعمل الـ + +271 +00:23:07,000 --> 00:23:09,060 +cylindrical coordinates والـ cylindrical + +272 +00:23:09,060 --> 00:23:11,840 +coordinates أنا كنت أعرف الشي متغيرات الـ + +273 +00:23:11,840 --> 00:23:16,620 +cylindrical coordinates رو و فاي و زد غير ليها S + +274 +00:23:16,620 --> 00:23:20,240 +قال لي ما أنت شايف في عندك كمه ال رو هذه ايش ال + +275 +00:23:20,240 --> 00:23:24,930 +رو؟ charge densityبديش اخربط، مافعش أحط رو رو، + +276 +00:23:24,930 --> 00:23:28,650 +فجال اسمحلي في هذا السؤال، بدل رو تحت الـsyndical + +277 +00:23:28,650 --> 00:23:34,190 +إيش أحطها؟ S، أفهمتوا عليها؟ وبلّك هيو إن هالي a + +278 +00:23:34,190 --> 00:23:37,110 +proportion to the distance from the axis، إذا ال + +279 +00:23:37,110 --> 00:23:42,970 +distance from the axis هي SOkay ثابتة إذا أسهد هي + +280 +00:23:42,970 --> 00:23:45,430 +الروح تبع الـ Syndical Coordinates وعرفنا الشرط + +281 +00:23:45,430 --> 00:23:49,150 +منها عشان روح تبع الـ Child Gensity الممكن الرموز + +282 +00:23:49,150 --> 00:23:52,750 +بيقبل تخبط في الآخر ويقولك كيب ده ميز بينهم لإن كل + +283 +00:23:52,750 --> 00:23:55,410 +رموز الدنيا راحوا على اللغة الميليانية وما كفتهمش + +284 +00:23:55,410 --> 00:24:00,290 +إلا في تكرار فالواحد وانتوا بتعرفوا عاملكم انتوا + +285 +00:24:00,290 --> 00:24:03,030 +بتاخدوا كتير شغلات هتلاقوا فيه تكرار لأمور كتيرة + +286 +00:24:03,030 --> 00:24:07,870 +يعني تمامأيش بدك؟ بيقولي find the electric field + +287 +00:24:07,870 --> 00:24:11,850 +outside and inside the سلندر برا و جوا نبدأ باللي + +288 +00:24:11,850 --> 00:24:16,370 +برا قاللي هي السلندر أول قاللي سلندر أحلها ع قانون + +289 +00:24:16,370 --> 00:24:22,170 +جاوس اتذكرت ايش شروط؟ قاللي أشكال كراوية أمين، لأ + +290 +00:24:22,170 --> 00:24:24,830 +مش شكال كراوية أشكال أستوانية، أستوانية، كانت بس + +291 +00:24:24,830 --> 00:24:28,270 +كانت مشروطة in a very long طب هو قاللي هي و long + +292 +00:24:28,270 --> 00:24:30,550 +قاللي معناته هذا بيقولي و هو كونه بيقولي أحل ع + +293 +00:24:30,550 --> 00:24:37,440 +جاوس أنا جاي لك؟ longاتفجنا هيك؟ حلو جيلي إيش بقى + +294 +00:24:37,440 --> 00:24:41,660 +كتسوي؟ بدي أختار سطح جاوس مش بهيك اتفجنا؟ أول + +295 +00:24:41,660 --> 00:24:45,240 +الشكل ينطبق عليه قانون جاوس من ضمن الحلات التلاتة + +296 +00:24:45,240 --> 00:24:49,860 +اللي قلتلي عنها شكل أسطواني long إلى خطوة تالية + +297 +00:24:49,860 --> 00:24:53,980 +بدي أختار سطح جاوس بفهم أختار كورة؟ لأ إيش بتختار؟ + +298 +00:24:55,210 --> 00:24:58,350 +السوانة، لأن أنا شاكل السوانة السوانة إذا ما يقول + +299 +00:24:58,350 --> 00:25:00,610 +لي أني بدي أشدت المجال عند النقطة الصامره هي برا، + +300 +00:25:00,610 --> 00:25:03,830 +ما هو بدي برا و جوا، لما أكون جوا بيننا بنجيبها، + +301 +00:25:03,830 --> 00:25:09,510 +جالي حلو، هذه اعتبرها small R طبعا هذه من هالهن + +302 +00:25:09,510 --> 00:25:14,970 +جديش؟ capital R زي ما أعطيت السؤال، تمام؟ لأن + +303 +00:25:14,970 --> 00:25:20,180 +السوانة نسقطها capital R، تمام؟ solutionبيقول إيه + +304 +00:25:20,180 --> 00:25:23,780 +بدى اختار سطح جاوس As a Gaussian surface, we + +305 +00:25:23,780 --> 00:25:28,800 +select a circular cylinder of radius small r with + +306 +00:25:28,800 --> 00:25:33,500 +high H، high سطح جاوس النقطة على السطح، مش على سطح + +307 +00:25:33,500 --> 00:25:41,140 +النقطة، على السطح، تمام؟ high cylinder، طيب سنة + +308 +00:25:41,140 --> 00:25:46,920 +أولى كانوا الطلابإيش يسوي لما يجيهم سؤال زي هذا؟ + +309 +00:25:46,920 --> 00:25:49,480 +كانوا يقولون ليش تسأل الأستاذ لما أختار سطح جاهز + +310 +00:25:49,480 --> 00:25:53,020 +أختاره صغير؟ طب هو يعني هو أقرب من مين؟ طب هيكان + +311 +00:25:53,020 --> 00:25:57,520 +المقول هم نفسهم من الرسمة يجي الطالب كريم يقول ها + +312 +00:25:57,520 --> 00:26:02,860 +سطح جاهز تبقى إيش + +313 +00:26:02,860 --> 00:26:09,820 +معناته؟ إيش سوى؟ خرّب الدنيا أنا ليش بقول عنه لازم + +314 +00:26:09,820 --> 00:26:14,150 +يكون طويل؟ بقول عشان تبعد عن الأطرافوانت مشارق + +315 +00:26:14,150 --> 00:26:16,410 +رأيي على الأطراف، مين جالك؟ مين ضربك عيزك تقول على + +316 +00:26:16,410 --> 00:26:20,930 +الأطراف؟ أنا الأطراف مش شايفها أصلا، ليش؟ لأنه لو + +317 +00:26:20,930 --> 00:26:25,170 +انت وصلت لأطراف E بقتلت ثابتة، وبالتالي ولا + +318 +00:26:25,170 --> 00:26:31,200 +عمودية، وبالتالي كل الدنيا اتخربطتانت جاوس بيقولك + +319 +00:26:31,200 --> 00:26:36,380 +any closed surface ما جالكيش تكبرها ولو عجرة ليه + +320 +00:26:36,380 --> 00:26:40,520 +تروح الأطراف؟ كبرهاش أنا قاعد أوصها أحياناً زغيرها + +321 +00:26:40,520 --> 00:26:44,820 +أكتر بس أحياناً نكبرها هنا عشان نشوفها تمام؟ إذا + +322 +00:26:44,820 --> 00:26:47,780 +ماينفعش سطح جاوس يصل للأطراف وانا جالك لازم يكون + +323 +00:26:47,780 --> 00:26:51,780 +طويل جدا فهمتوا عليا؟ تمامو كنا نتقاتل مع الطلاب + +324 +00:26:51,780 --> 00:26:54,360 +لما نخصمهم علامات و الله يا أستاذ أنا بس عشان يصلي + +325 +00:26:54,360 --> 00:26:58,580 +واضح و أنا بس عشان مش عارف إيش و أنا قولت أحسن و + +326 +00:26:58,580 --> 00:27:02,420 +.. و هي بكون النقطة اللي زي هذه إنه أنا بدي أيا + +327 +00:27:02,420 --> 00:27:06,560 +طالب يعرفلماذا اختار سطح جاوس؟ ولماذا جناله طويل + +328 +00:27:06,560 --> 00:27:09,520 +جدا؟ ولماذا جناله كبير جدا؟ وبالتالي، انت تشتغل من + +329 +00:27:09,520 --> 00:27:12,880 +شغل لم تذهب عليها. نحن نقول لك، هذه ممنوعة. تذهب + +330 +00:27:12,880 --> 00:27:17,980 +عليها لماذا؟ ممنوعة لأن التكامل غلط. انت تبقى كذلك + +331 +00:27:17,980 --> 00:27:22,820 +تبني على أن E مستمر وفرصتك E ليست مستمر. فمتعنية + +332 +00:27:22,820 --> 00:27:23,780 +كيف؟ حلو. + +333 +00:27:26,480 --> 00:27:30,940 +الآن، هاي قانون جاوس في القرى، كام سطح لها القرى؟ + +334 +00:27:32,310 --> 00:27:36,990 +القرخ واحد تمام؟ ذاكرين اما انا اعملت هذا التكامل + +335 +00:27:36,990 --> 00:27:41,330 +في اول محاضرتين وكان عندي متوازن مستطيلات أكم + +336 +00:27:41,330 --> 00:27:45,250 +تكامل عملتهم؟ ستة هذا التكامل الآن في هذا السطح + +337 +00:27:45,250 --> 00:27:49,310 +أكم كم قاعد بتعمل؟ تلاتة .. تلاتة .. تلاتة .. + +338 +00:27:49,310 --> 00:27:49,350 +تلاتة .. تلاتة .. تلاتة .. تلاتة .. تلاتة .. تلاتة + +339 +00:27:49,350 --> 00:27:49,630 +.. تلاتة .. تلاتة .. تلاتة .. تلاتة .. تلاتة .. + +340 +00:27:49,630 --> 00:27:50,930 +تلاتة .. تلاتة .. تلاتة .. تلاتة .. تلاتة .. تلاتة + +341 +00:27:50,930 --> 00:27:55,230 +.. تلاتة .. تلاتة .. تلاتة .. تلاتة .. تلاتة .. + +342 +00:27:55,230 --> 00:28:03,180 +تلاتة .. تلاتة .. تلاتة ..مظبوط ولا لأ؟ وبالتالي + +343 +00:28:03,180 --> 00:28:07,840 +لما يعوج بيصير لا ثابت ولا نجادر اعرف اي زاوية فيه + +344 +00:28:07,840 --> 00:28:13,040 +فكل التعقيدات بتيجي لو هدول وصلوا الأطراف عشان كده + +345 +00:28:13,040 --> 00:28:16,380 +بقول ابعد عن الأطراف وانا نجي ايه لك لونك عشان + +346 +00:28:16,380 --> 00:28:22,440 +تعرف تشتغل تمام هذه ايه؟ اللي عندها SSR تنط على + +347 +00:28:22,440 --> 00:28:28,250 +طولبيقولي since the cylinder هذي three surfaces + +348 +00:28:28,250 --> 00:28:32,790 +مظبوط ولا لأ؟ بيقولي the integral in Gauss's law + +349 +00:28:32,790 --> 00:28:36,770 +هذا التكامل has to be split into three parts ويصيب + +350 +00:28:36,770 --> 00:28:42,830 +عبارة عن تلت تكاملات عبارة ال base العلوية ال base + +351 +00:28:42,830 --> 00:28:48,230 +السفلية و ال curved surface الجانبي صح ولا لأ؟ هات + +352 +00:28:48,230 --> 00:28:51,910 +تلت تكاملات هلقيت؟ إذا في تكامل ماعرفش اتحله، + +353 +00:28:51,910 --> 00:28:55,510 +معناته ماعرفش اتحله غلطمظبوط ولا لأ؟ كيف ماعرفش + +354 +00:28:55,510 --> 00:28:59,230 +أحله؟ بقول لا إيه؟ بتطلعها برا؟ لا تكامل، بدي روح + +355 +00:28:59,230 --> 00:29:04,830 +روح، كله Zero، ماشيك اتفجناها؟ تانى، نيجي أول على + +356 +00:29:04,830 --> 00:29:08,830 +القاعدة العلوية، و المنطقة اللي توي حاكتلي، و أنت + +357 +00:29:08,830 --> 00:29:12,610 +ماشي على القاعدة، نيجي نملة و نمشيها على القاعدة، + +358 +00:29:12,610 --> 00:29:16,250 +و هي ماشي على القاعدة، ممكن تجرب و تبعد عن الحمار + +359 +00:29:16,250 --> 00:29:21,540 +ولا لأ؟بتجربه، بتبعد إذا المعناته شدت المجال من + +360 +00:29:21,540 --> 00:29:24,580 +الثابت قالوا طب استنى شوية، من الثابت هذا معناته + +361 +00:29:24,580 --> 00:29:29,080 +بقاشة كامله، بقدر أطلع هذه برا out؟ بقدرش أطلعها + +362 +00:29:29,080 --> 00:29:33,880 +out قاللي حلو، واحدة واحدة طيب، كيف إيه؟ قاللي هذه + +363 +00:29:33,880 --> 00:29:39,720 +الخضار إيه، صح؟ تخيلولي إيه تبعة البقلة الأعلى، + +364 +00:29:39,720 --> 00:29:45,190 +صح؟ قدش يتزاوي بينهم؟ضبط كسان التسعين زي زيه إذا + +365 +00:29:45,190 --> 00:29:48,890 +طبعا مابديش إيه أطلعه مش محتاج أطلعه ماله هذا + +366 +00:29:48,890 --> 00:29:53,490 +الصغير؟ Zero غلبني؟ + +367 +00:29:53,490 --> 00:30:00,350 +لا حتى لو ما طلعتش مغلبنيه طب و هذا؟ زيه نيجي لهذا + +368 +00:30:00,350 --> 00:30:03,210 +اللي ضال طول ما النملة ماشية على السطح الجانبي + +369 +00:30:03,210 --> 00:30:07,850 +بتجرب ولا تبعد عن الحمار؟ إذا E is constant لأ + +370 +00:30:07,850 --> 00:30:11,930 +بتجرب ولا تبعد إذا E is constant قاللي هذا حلو + +371 +00:30:12,730 --> 00:30:19,390 +طلعوا برا تكامل، تمام؟ طيب .. لش .. احكي .. خجلانة + +372 +00:30:19,390 --> 00:30:23,250 +ليش؟ لأ، سطح العلوي ما هو دائرة مش دائرة نصف قطرها + +373 +00:30:23,250 --> 00:30:27,270 +احكي، + +374 +00:30:27,270 --> 00:30:31,430 +كملي، انا سؤالك، خفيش، من الأسئلة ماحد يخاف من + +375 +00:30:31,430 --> 00:30:39,210 +الأسئلة أنا بقول سطح ولا line؟ احكي، سطح ولا line؟ + +376 +00:30:39,210 --> 00:30:45,310 +دائرة ولا disk؟عشان يكون سطح احكي بيخليها هي نور + +377 +00:30:45,310 --> 00:30:55,310 +سطح سطح طيب هذه النقطة على السطح اه وهذه النقطة اه + +378 +00:30:55,310 --> 00:31:00,850 +التنتين نفس الجرب لا انت ايش اعتبرتي ان النملة غصب + +379 +00:31:00,850 --> 00:31:06,950 +عنها بتضارع المحيط اه ومن جلج هل المحيط surface + +380 +00:31:06,950 --> 00:31:11,350 +ايش وحدة المحيط ايش قانونه + +381 +00:31:14,190 --> 00:31:20,830 +اتنين by R اتنين by R R ولا R تربيع؟ ايش وحدته؟ + +382 +00:31:20,830 --> 00:31:26,030 +مساحة ولا طول؟ طول لكن انا بحكي عن سطح السطح طول + +383 +00:31:26,030 --> 00:31:31,410 +ولا مساحة؟ مساحة اللي هو by R تربيع مثل تربيع اذا + +384 +00:31:31,410 --> 00:31:34,790 +انا لما اقول سطح بقولش ان انا قصدي عينيك بيبقى على + +385 +00:31:34,790 --> 00:31:41,100 +خاط المحيط خاط بس اعوجمش يعني أخيب خط أعمالي + +386 +00:31:41,100 --> 00:31:44,240 +ديوورة، بصير؟ فضل أنت .. أنت قلتلنا إنه إحنا + +387 +00:31:44,240 --> 00:31:48,280 +ماخترناش على أساس إنه لكل الأطراف يعني ماعملاش بيه + +388 +00:31:48,280 --> 00:31:52,180 +بالسطح على أساس إنه بتكون إيه مش ثابت عند الأطراف؟ + +389 +00:31:52,180 --> 00:31:56,380 +بالثابت عند الأطراف، ما هو مقبول، واش كمان؟ هل + +390 +00:31:56,380 --> 00:32:00,540 +بتقدر تضمنيلي لو كان هذا السطح هان إن الزاوية 90 + +391 +00:32:00,540 --> 00:32:04,250 +درجة؟أه يعني عشان هيك .. كمان إذا في عندي أكتر من + +392 +00:32:04,250 --> 00:32:09,730 +مشكلة أيه برضه 91 درجة لأ وين عدم الثبات على السطح + +393 +00:32:09,730 --> 00:32:14,190 +حادة بيبطل ثابت؟فوق. ليش؟ لأنه إنت بتجرب هنا + +394 +00:32:14,190 --> 00:32:18,430 +بالصير و إنت ماشي بتكون عند الطرف اختلف الأمور، مش + +395 +00:32:18,430 --> 00:32:21,590 +إنت بتجيش على نقطة حواليك، الطرف الفجاني بيكون أثر + +396 +00:32:21,590 --> 00:32:25,090 +عليك، فهمت عليها؟ يعني ممكن يكون الـDA مش .. مش + +397 +00:32:25,090 --> 00:32:29,230 +تسعين درجة .. طب أيه؟ طلع، أنا ليش قولت تسعين؟ مش + +398 +00:32:29,230 --> 00:32:34,190 +أنا طب و هي جالتلي هناك إنه هي ال area، صح؟ تسعين، + +399 +00:32:34,190 --> 00:32:39,860 +لكن لو الخط هادة هيك، تسعين؟ببطل تسعين بقدر ساعتي + +400 +00:32:39,860 --> 00:32:44,200 +ألغي التكامل، ببطل أقدر ألغي التكامل، عند الطرف، + +401 +00:32:44,200 --> 00:32:47,560 +في النهاية، و أنا .. إيش مشكلتي؟ بقولي هدول تلك + +402 +00:32:47,560 --> 00:32:50,980 +التكاملات لازم تحلهم، لا بتطلع إيه برا، لا ال + +403 +00:32:50,980 --> 00:32:56,040 +product بتضيرهم، تمام؟ لما أكون أنا عند الطرف، حتى + +404 +00:32:56,040 --> 00:32:59,600 +لو إيه من الثابتة، ما هو فيش product تضير، بتضلوا + +405 +00:32:59,600 --> 00:33:03,320 +هذا ملزق في وجهي، مش قادر أعمل فيه إشي، فهمتين يا + +406 +00:33:03,320 --> 00:33:10,270 +نور؟ غيرهاإذن أنا لما أحكي سطح، بدي أقول محيط يا + +407 +00:33:10,270 --> 00:33:15,150 +نور؟ لأ، هاي طاولة، سطح هو أما سطح، هجيتك من جولة + +408 +00:33:15,150 --> 00:33:17,990 +النملة بس ضالك ماشية على الطرف؟ ولا ممكن تمشي هيك؟ + +409 +00:33:17,990 --> 00:33:21,090 +جربت، فهمت عليها؟ هاي الفرق ما بين السطح و دايما + +410 +00:33:21,090 --> 00:33:24,990 +الطالب بيخربط فيها، أنه أنا لما أقول دائرة، أنت + +411 +00:33:24,990 --> 00:33:28,590 +بتحكي عن دائرة، بدك مساحتها ولا بدك طولها؟ فهمت + +412 +00:33:28,590 --> 00:33:30,890 +عليها؟ طولها يعني محيطها، لكن مساحتها بتكون خالت + +413 +00:33:30,890 --> 00:33:34,730 +شيء جوا، فهمت عليها كيف؟ غيرها، تمام + +414 +00:33:40,540 --> 00:33:44,200 +إذن اتفقنا إن أنا عندي تلت تكمولات بيتعامل معاها + +415 +00:33:44,200 --> 00:33:49,520 +واحدة واحدة هاي أول surface اللي هو الشمس العلوية + +416 +00:33:49,520 --> 00:33:54,000 +هذه شايفينها؟ اتفقنا كافي الإيادة تبعتها لأعلى + +417 +00:33:54,000 --> 00:33:59,840 +جديش الزاوية تسعين أوح أول تكمل طب وليه تحتها هذه؟ + +418 +00:34:00,980 --> 00:34:04,640 +إذا هذه روحت، انت فاهمة؟ مظبوط هيك ولا لأ؟ هذه + +419 +00:34:04,640 --> 00:34:09,920 +روحت نيجي لل surface التانية طلع يا نور تشوف ال + +420 +00:34:09,920 --> 00:34:12,440 +surface كمان مرة عشان ما .. ماشوفتيش .. هاي ال + +421 +00:34:12,440 --> 00:34:16,560 +surface كلها كل الزراق surface تمام؟ كيف ال area + +422 +00:34:16,560 --> 00:34:21,540 +تبعتي؟ إذا هاي التسعين درجة إذا روحت، ضال عندي ال + +423 +00:34:21,540 --> 00:34:25,640 +surface اللي هو الجانبي، هذا طيب، هذا .. مين + +424 +00:34:25,640 --> 00:34:31,300 +يقوللي كيف اتجاه ال area تبعته؟باتجاه الخارج + +425 +00:34:31,300 --> 00:34:36,140 +باتجاه ال raw مظبوط؟ باتجاه ال raw يعني بيكون هيك + +426 +00:34:36,140 --> 00:34:41,060 +الصمار والخضار شذت المجال جذيش زاوية بينهم؟ Zero + +427 +00:34:41,060 --> 00:34:44,920 +cosine of zero one و E اتفقنا ثابتة ولا لأ؟ إذن + +428 +00:34:44,920 --> 00:34:49,520 +هذه بتطلع برا إيش تقامل ال D إيه؟ إيه محيط القاعدة + +429 +00:34:49,520 --> 00:34:58,020 +في الارتفاع صح ولا لأ؟ بتساوي Q enclosed على + +430 +00:34:58,020 --> 00:34:58,440 +Epsilon + +431 +00:35:03,450 --> 00:35:09,250 +كيف بدي أديه بـ QA closed يا بنات؟ عندي Raw طب ليش + +432 +00:35:09,250 --> 00:35:13,030 +أنت بدك تروح إلى Raw لأن أنت بدك جزء من كل؟ هل كل + +433 +00:35:13,030 --> 00:35:19,850 +الحمار مكتوب مني؟ هل هذا الجزء بديا؟ بس اللي داخل + +434 +00:35:19,850 --> 00:35:25,990 +سطح جاوس، بس هذا الحمارصح ولا لأ؟ اذا انا بدي اقول + +435 +00:35:25,990 --> 00:35:33,210 +مفروض انه الاصل ان q بتسوي تكامل raw d tau q in + +436 +00:35:33,210 --> 00:35:40,210 +وهذه d tau in مش هيك؟ بقدر اطلع raw برا؟ لأ طلع + +437 +00:35:40,210 --> 00:35:45,480 +الشكل ليه؟لنذكر احنا وياكم في الـ cylindrical + +438 +00:35:45,480 --> 00:35:52,060 +coordinates لما قلنا DL قلنا عبارة عن DS S بس غيرت + +439 +00:35:52,060 --> 00:35:58,280 +ال role S زي ما بده زائد S D Phi Phi hat زائد D Z + +440 +00:35:58,280 --> 00:36:04,900 +Z hat، ذاكرينه؟ لنقول لك D Tau هالجد كيف؟ D Tau + +441 +00:36:04,900 --> 00:36:12,120 +بتساوي S DS D Phi D Z صح؟ + +442 +00:36:13,940 --> 00:36:21,720 +و .. وين انا؟ اه هنا وها دي إيش بتساوي؟ K S وفي + +443 +00:36:21,720 --> 00:36:27,340 +هنا كمان S صوت S تربية و ال K ثابت قاللي K تكامل + +444 +00:36:27,340 --> 00:36:35,900 +تكامل تكامل S تربية دي S دي Phi دي Z مظبوط هكذا؟ + +445 +00:36:35,900 --> 00:36:42,340 +ليه تكتبوا؟ والله كله موجود موجود + +446 +00:36:44,130 --> 00:36:50,070 +اللي مش موجود بقولكوا مكتوبة، خفوذ، مكتوب تطلعوا + +447 +00:36:50,070 --> 00:37:00,810 +عليّ دي file من و لا و لا بتغيرها من + +448 +00:37:00,810 --> 00:37:05,310 +صفر لأتنين باي كلها صح ولا لأ؟ طب تزيد من و لا و + +449 +00:37:05,310 --> 00:37:09,410 +لا نغيرها اعتبروا الصفر منها + +450 +00:37:12,880 --> 00:37:20,760 +لأ تش بعد كده بدكوا؟ لأ ال S من وين و وين أغيرها؟ + +451 +00:37:20,760 --> 00:37:24,260 +IR small؟ + +452 +00:37:24,260 --> 00:37:30,480 +معناته أنت اللي هان بيتعدى، في شحنات هنا؟ لأر + +453 +00:37:30,480 --> 00:37:36,000 +capital ناقص؟ ليش لأر capital ناقص؟ من سفر، امشي + +454 +00:37:36,000 --> 00:37:40,770 +امشي امشي وين بخلص الحمار؟بس R كابيتال ليه صوت + +455 +00:37:40,770 --> 00:37:44,850 +حقيقي اسمه الـ R؟ من سفر لـ R كابيتال بعد كده + +456 +00:37:44,850 --> 00:37:54,290 +بتكييش، في شحنات ضال؟ اذا من سفر لـ R كابيتال؟ + +457 +00:37:54,290 --> 00:38:02,150 +مامشيتش؟ كيف؟ + +458 +00:38:02,150 --> 00:38:06,950 +مافهمتكيش يا نورة من سفر لـ R + +459 +00:38:16,240 --> 00:38:24,620 +بس براو علينا طب قوليلي انت سؤالك انا بدى اعتبره + +460 +00:38:24,620 --> 00:38:31,060 +هو صح raw constant جيبي ال QA كلها؟ + +461 +00:38:31,060 --> 00:38:37,480 +والله كل الحمر بدك إياه؟ أش + +462 +00:38:37,480 --> 00:38:45,120 +بيدك؟اللي فيه .. طب شو؟ رو ثابتة، دير بالك رو أي + +463 +00:38:45,120 --> 00:38:50,040 +حجم بدّيك؟ + +464 +00:38:50,040 --> 00:38:57,020 +اللي هي by فئاتش، إيش حاط هنا؟ small R ولا capital + +465 +00:38:57,020 --> 00:39:06,980 +R؟ capital لأنه ساعتها بدّيك الحجم هذا صح؟ + +466 +00:39:06,980 --> 00:39:12,220 +فقطوبالتالي هاجي من الصوانة بيساوي مساحة القاعدة + +467 +00:39:12,220 --> 00:39:18,480 +في الارتفاع فصالة باي كابيتل R تربيع في H مش small + +468 +00:39:18,480 --> 00:39:22,800 +r تربيع وعشان كده احنا بيجي نطوي حدود التكامل من + +469 +00:39:22,800 --> 00:39:31,660 +صفر لكابيتل R من صفر لاتنين باي ومن صفر لH هيك + +470 +00:39:31,660 --> 00:39:37,240 +بأضمن فقط الشحنات + +471 +00:39:37,240 --> 00:39:42,180 +اللي داخل سطح جاوسفهمتوا عليا؟ أي الصفسر دي بابكم + +472 +00:39:42,180 --> 00:39:44,820 +أنا بركز عليها و بقولكم انتبهوا و عملوا شوية .. + +473 +00:39:44,820 --> 00:39:47,800 +لإنه أنا عارف هاي تركاتنا هاي تركاتنا و هاي طالب + +474 +00:39:47,800 --> 00:39:54,800 +بيخربط هنا بيخربط هنا الطالب الشغلات + +475 +00:39:54,800 --> 00:39:58,560 +كتيرة بتكون شبه واضحة لكن أندي تركات بسيطة أنت + +476 +00:39:58,560 --> 00:40:02,840 +حلولت كام ولا خربت؟ أه بتخربط لإن أنت بتكونش مركز + +477 +00:40:02,840 --> 00:40:06,400 +عشان بتسوي و عشان كده احنا بيقولنا ممنوع الطالب + +478 +00:40:06,400 --> 00:40:11,180 +قانون جواز مايفهموشبكل تفاصيله، بكل ملحقاته، بكل + +479 +00:40:11,180 --> 00:40:16,720 +حاجة فيه أنا لما أقول هذا لسطح جاوس، هذا للشحنات، + +480 +00:40:16,720 --> 00:40:20,500 +هذه شحنات، بس داخل سطح جاوس، أه، بس شحنات، بالجيش + +481 +00:40:20,500 --> 00:40:26,080 +أجمع ماطي خافش فيها شحنات، وبالتالي لما تقوللي من + +482 +00:40:26,080 --> 00:40:30,640 +صفر ل small R، انت قاعد تجمع فراغ، انت قاعد تجمع + +483 +00:40:30,640 --> 00:40:35,480 +فراغقعدت أنا وانا قاعد بقى أشغل برضه بيهمش احنا + +484 +00:40:35,480 --> 00:40:40,300 +علم رياضيات انظرنا نفوت فيه انا أقولك لو الطلاب و + +485 +00:40:40,300 --> 00:40:43,620 +هم .. مابنشرح لهم اقول له انا قولتلك في عندى شحنات + +486 +00:40:43,620 --> 00:40:47,580 +في هذا المربع و اجمعنا الشحنات بنفع تجمع من هنا + +487 +00:40:47,580 --> 00:40:53,180 +لهناك تجمع من هنا لهنا نقل يقولي طب ليش اجمع من + +488 +00:40:53,180 --> 00:40:56,140 +هنا لهنا ما هو هنا في الشحنات هتطلع Zero وقالوا + +489 +00:40:56,140 --> 00:41:01,780 +مين قالك ان التكامل ذكي زيك؟التكامل في الآخر بكامل + +490 +00:41:01,780 --> 00:41:06,000 +على X و Y و مش بعرفوا هذي X فيها اتعداد ولا لا انت + +491 +00:41:06,000 --> 00:41:10,300 +قلتله اتبع جامع فبصير جامع غلط مش زي انه و انا + +492 +00:41:10,300 --> 00:41:12,520 +هتقول هو انا مش هناك هتطلع معاه Zero و بتطلعش معاه + +493 +00:41:12,520 --> 00:41:15,420 +Zero عشان كده انتوا في الكلب كلاص ايش علمته في + +494 +00:41:15,420 --> 00:41:20,060 +التنوية لما يجيكم في شغل زي هيك كملوها من ال hand + +495 +00:41:20,060 --> 00:41:25,650 +Zero صح؟لكن المساحة Zero لأ جالك ما تكملهاش من أول + +496 +00:41:25,650 --> 00:41:30,470 +لآخر لأنه تكامل غابة تكامل تطلع معاه Zero النتيجة + +497 +00:41:30,470 --> 00:41:35,730 +وانت حقيقة المساحة بتسويز لوينه تسويز Zero المساحة + +498 +00:41:35,730 --> 00:41:38,890 +هذه زاد هذه فبقولك كامل من هالهال ثم كامل من + +499 +00:41:38,890 --> 00:41:43,870 +هالهال عشان تطلع معاك صح فبالتالي وانت بتقوله اجمع + +500 +00:41:43,870 --> 00:41:47,130 +بدأت تكبهش تقوله اجمع المنطقة اللي فيش فيها شغلات + +501 +00:41:47,130 --> 00:41:51,680 +بتجمعها تخلوهاش يروح عليها زي لما واحد يقولأنا بدي + +502 +00:41:51,680 --> 00:41:55,580 +أي معبنات الصفة ده أبدأ من أول حتة الجامعة لآخر + +503 +00:41:55,580 --> 00:42:00,340 +حتة الجامعة و بدي أكوم لكل الطلاب و الطالبات؟ لأ + +504 +00:42:00,340 --> 00:42:02,840 +أنا بدي هنا أبدأ من أول الحياطة لآخر الحياطة و بس + +505 +00:42:02,840 --> 00:42:09,040 +وبالتالي هنا بدي أبدأ من هان و أخلصها خلص الشحنات + +506 +00:42:09,040 --> 00:42:12,740 +اللي قاعد بيجمع فيها مش واحد يقول ليه طب خلني أكمل + +507 +00:42:12,740 --> 00:42:16,340 +ما هو هيطلع Zero بيطلعش Zero بيجمعش Zero يعني هو + +508 +00:42:16,340 --> 00:42:20,220 +ميكونش مركز ان انت في فراغات لأ الجواب هيطلع غلط + +509 +00:42:21,660 --> 00:42:26,140 +بالقطع تمام إذن معناته بعد ما انا اعمل a queueing + +510 +00:42:26,140 --> 00:42:30,960 +clause بتطلع عندي النتيجة إذا انتفقنا هذه هي E في + +511 +00:42:30,960 --> 00:42:33,920 +A بقول from the symmetry .. هذا بس في عيد اللي + +512 +00:42:33,920 --> 00:42:37,500 +عملته ليش هذا السفر و هذا السفر؟ و ليش ده طلعت E + +513 +00:42:37,500 --> 00:42:39,820 +في A؟ بقول from the symmetry of the system E is + +514 +00:42:39,820 --> 00:42:43,860 +parallel to B of bases قاللي E لل bases parallel + +515 +00:42:43,860 --> 00:42:48,830 +يعني عمودي على ال areaIt has a constant magnitude + +516 +00:42:48,830 --> 00:42:52,330 +undirected radially outward at every point on the + +517 +00:42:52,330 --> 00:42:55,490 +curved surface of the cylinder إذن هذه روحت وهذه + +518 +00:42:55,490 --> 00:43:00,310 +روحت وهذه E في الـA اظل عندي Q enclosed Q enclosed + +519 +00:43:00,310 --> 00:43:03,910 +بتسوي رو دي تاو أنا حطيت شرطة بس عشان أميز، ما + +520 +00:43:03,910 --> 00:43:08,950 +أنتوا عارفين الشرطة لكل حاجة الشحنانة ف Kds و Ps + +521 +00:43:08,950 --> 00:43:14,210 +ال Z من صفر لH ال 5 من صفر ل2π و هذي من صفر لوين؟ + +522 +00:43:14,210 --> 00:43:19,530 +لcapital Rطلعت الـ Q enclosed خلص السؤال تما انت + +523 +00:43:19,530 --> 00:43:24,470 +قلتلي E في A بيسوي Q enclosed على E Note هذه + +524 +00:43:24,470 --> 00:43:31,770 +المساحة الجانبية 2 by small r في H لأن هذه سطح + +525 +00:43:31,770 --> 00:43:38,810 +جاوس صح؟ وهذه الـ Q enclosed طلعتليها 2 على 3 by K + +526 +00:43:38,810 --> 00:43:44,890 +H R تكعيب خلصنا شوفوا H مع H + +527 +00:43:48,250 --> 00:43:52,370 +ماذا يعني H هذه؟ ارتفاع الصوانة، هل تذكرين اللي + +528 +00:43:52,370 --> 00:43:58,210 +أخد كل الصوانة، كبر أشت بعته، تغير إيجابته؟ هل + +529 +00:43:58,210 --> 00:44:02,110 +إيجابته هتكبر ولا تصغر؟ بس هو عمل غلطة كبيرة، لكن + +530 +00:44:02,110 --> 00:44:06,350 +في الآخر، الـH هذه، أنا عملت هيك، يقولني لو أنت + +531 +00:44:06,350 --> 00:44:09,650 +عملت هيك، هتطلع إيجابتك يعني، في النهاية أصغر من + +532 +00:44:09,650 --> 00:44:13,410 +هذه الإجابة؟ لأ، مايعدش، انت عراحت، مالهجوة، شغلها + +533 +00:44:13,410 --> 00:44:17,940 +منطقية، لأنه هاجة عشوائيةوانا باخدها وبالتالي مش + +534 +00:44:17,940 --> 00:44:21,360 +مفروض تبين الـH هذه فهي روحت الـH ماعادش روحت + +535 +00:44:21,360 --> 00:44:29,460 +وطلعت النتيجة بهذا الشكل بس + +536 +00:44:29,460 --> 00:44:36,400 +و جرى تعوضت و طلعتها هي الـTen and pi مع الـTen + +537 +00:44:36,400 --> 00:44:41,410 +and pi بتروحالـ K R تكعيب و التلاتة والإبسلون + +538 +00:44:41,410 --> 00:44:46,070 +تبعها القانون وهي R سرت في المقام مجرد تعويض أي + +539 +00:44:46,070 --> 00:44:53,210 +استفسار يا بنات؟ إذا لما تكون رو مش constant بس + +540 +00:44:53,210 --> 00:44:59,950 +مجرد بخليها جوا وبكامل عادي طيب اللي أنا المطلوب + +541 +00:44:59,950 --> 00:45:06,090 +التاني بقول طيب بدي هلقيت جوا عشان كده خملته عشان + +542 +00:45:06,090 --> 00:45:14,220 +أعرف أخش جواالسلك احكي لأ مظبط بس أس محتوطة R أه + +543 +00:45:14,220 --> 00:45:18,820 +اه هنا في خطأ مطبعي كان هي أس هي المفروض تكون R + +544 +00:45:18,820 --> 00:45:22,620 +برا تمام شفت عند الشباب صراحة هنا ماشوفتاش أنا عند + +545 +00:45:22,620 --> 00:45:25,020 +الشباب عدلت بس هنا مانا بيغيرتش وين هي الجابيل + +546 +00:45:25,020 --> 00:45:30,560 +هذي؟ لأ هي بقى هي لأني انا ماتلوب أس تحت المطبع اه + +547 +00:45:30,560 --> 00:45:34,180 +تمام + +548 +00:45:34,180 --> 00:45:38,020 +عندكم أس محتوطة؟ اه تمامأنا شفتها عند الشباب في + +549 +00:45:38,020 --> 00:45:42,980 +منطقة معينة وين أنا حاطيتها اظن واه بقعدي بشوفها + +550 +00:45:42,980 --> 00:45:49,260 +تمام انا اظن كمان مكرر الخطأ to find the electric + +551 +00:45:49,260 --> 00:45:54,000 +field inside the cylinder inside the cylinder الان + +552 +00:45:54,000 --> 00:45:57,360 +انا بدي inside يعني عند النقطة هادية بنا تشوفينها + +553 +00:45:57,360 --> 00:46:02,850 +اختلط سطح جاوس هدهووليش؟ نفس الشيء في عندي تاني + +554 +00:46:02,850 --> 00:46:06,990 +تكملات اتنين بروحه بظل عندي جانبي صح ولا لأ؟ اذا + +555 +00:46:06,990 --> 00:46:11,850 +بالتالي هذا هو again E is parallel to both bases + +556 +00:46:11,850 --> 00:46:15,630 +and constant for the curved surface وبالتالي هذا + +557 +00:46:15,630 --> 00:46:22,760 +التكامل هو اه هذي شفينها هذي R برضهصح؟ لأن هذا سطح + +558 +00:46:22,760 --> 00:46:28,920 +جاوس الأزرق تدريش نسقط رو؟ أه فهي أصلا اللي هداعو + +559 +00:46:28,920 --> 00:46:35,100 +بالـ Q enclosed تمام الـ Q enclosed بديها يا بنات + +560 +00:46:35,100 --> 00:46:40,780 +الـ Q enclosed بالسوء تكامل رو دي تمام هذه KS + +561 +00:46:40,780 --> 00:46:49,620 +مظبوط هيك؟ هذا معطى KS وهذه S دي S دي Phi دي Z صح + +562 +00:46:49,620 --> 00:46:57,120 +ولا لأ؟تمأ أعوض صارت K برا تكامل أستربيع وهي كمان + +563 +00:46:57,120 --> 00:47:04,920 +تكامل وهي كمان تكامل دي أس دي في دي زد دي أس من + +564 +00:47:04,920 --> 00:47:12,620 +ولا وين؟ هلو هلو هوضح لك من كتابك بدي أنا دي أس من + +565 +00:47:12,620 --> 00:47:16,080 +ولا وين فيتغير؟ بدي Q in + +566 +00:47:21,430 --> 00:47:27,810 +بدي شحنات داخل سطح Gauss؟ Small R لأن أنت بدي + +567 +00:47:27,810 --> 00:47:32,410 +الشحنات بس من هنا إلى هنا فقط بعد كده إيش بيصير؟ Q + +568 +00:47:32,410 --> 00:47:38,310 +outside و Q outside بتكاشف إياه إذا أنت ال DS من 0 + +569 +00:47:38,310 --> 00:47:43,370 +إلى capital R وهذه من 0 إلى 2π وهذه من 0 إلى H + +570 +00:47:46,170 --> 00:47:50,650 +the small r احنا قولنا small r ايش اتكتبنا يعنى؟ + +571 +00:47:50,650 --> 00:47:54,770 +the small r براو عليكم افهمتوا كيف اذا ان هيك صلنا + +572 +00:47:54,770 --> 00:47:58,390 +لان انا بدي اجمع q inside the Gaussian surface + +573 +00:47:58,390 --> 00:48:02,530 +واللي داخل سطح Gaussian يعني داخل الزراج وكله فيه + +574 +00:48:02,530 --> 00:48:07,350 +خمار جوه الزراج اذا نسافر لcapital R بنعمل النتيجة + +575 +00:48:07,350 --> 00:48:14,140 +ونطلحها خلصنا اذا هنا قالليQ enclosed من سفر إلى H + +576 +00:48:14,140 --> 00:48:18,980 +من سفر إلى 2π ومن سفر إلى R من سفر إلى small r طلع + +577 +00:48:18,980 --> 00:48:23,780 +الـ Q enclosed وطبعاً لما أتيت وضعت هذه هنا هذه .. + +578 +00:48:23,780 --> 00:48:30,180 +هذه كنا R وهذه R تكعيب صارت R تربيع تمام؟ واشتغلنا + +579 +00:48:30,180 --> 00:48:35,020 +على 2π و2π روحه و الـ H و الـ H روحه وطلعت عندي + +580 +00:48:35,020 --> 00:48:41,810 +النتيجة أيه بتسوي KR تربيع على 3Y نورعندي الخط + +581 +00:48:41,810 --> 00:48:46,990 +اللي هو الـ Axis، كم أقل بتكون؟ Zero، كم هي + +582 +00:48:46,990 --> 00:48:53,850 +النتيجة؟ Zero، هاي السيلندر، لو جيت خط هنا على + +583 +00:48:53,850 --> 00:48:58,190 +المركز، ماشي وحاط فيه سيمتري وفي شغلة منطقية أنه + +584 +00:48:58,190 --> 00:49:02,870 +يطلع Zero؟ شغلة منطقية أنه يطلع Zero، هاي استفسار؟ + +585 +00:49:06,320 --> 00:49:09,300 +تمام؟ احنا دي بالكم احنا بدأنا هلاقيت كهربا الشبط + +586 +00:49:09,300 --> 00:49:13,140 +الأول كان دلع رياضيان اما هلاقيته احنا خلاش شينا + +587 +00:49:13,140 --> 00:49:17,520 +احنا كل شغلتنا كيف نجيب شدة المجال الكهربائي وجهد + +588 +00:49:17,520 --> 00:49:21,000 +الكهربائي وفي نهاية مجال الكهربائي وهي نبدأ + +589 +00:49:21,000 --> 00:49:25,000 +القانون كلهم واحد وقانون قوسك واحد والشبط اللي جاي + +590 +00:49:25,000 --> 00:49:30,440 +في عنا طريقة جديدة رياضية كله عشان كيف نحسب شدة + +591 +00:49:30,440 --> 00:49:34,300 +المجال الكهربائي للأشكال يعطيكوا العافية + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/-YfFRWPnfOo_raw.srt b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/-YfFRWPnfOo_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..d4c725ccffb86d71a10a6a97a665dd602413b4ba --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/-YfFRWPnfOo_raw.srt @@ -0,0 +1,1856 @@ +1 +00:00:00,000 --> 00:00:15,980 +Good morning + +2 +00:00:15,980 --> 00:00:21,180 +everybody كيف حالك؟ لدينا وقت جيد خلال أسبوع طويل + +3 +00:00:21,180 --> 00:00:32,530 +نهاية الأسبوع، نعم؟ جيد اليوم سنشاهدقصة رالي، لكن + +4 +00:00:32,530 --> 00:00:42,890 +من نظرة مختلفة، سنرىها كقصة مقاطعة، مثلًا في هذه + +5 +00:00:42,890 --> 00:00:46,170 +القصة، + +6 +00:00:46,170 --> 00:00:51,130 +أعني رالي مقاطعة مارلو، + +7 +00:00:51,130 --> 00:00:56,670 +أعني عندما أقول قصة مقاطعة، هل أحب أن تفكر أحد ما + +8 +00:00:56,670 --> 00:01:03,920 +هو قصة مقاطعة؟هذا الفيديو سنتحدث عن ما هي الـ + +9 +00:01:03,920 --> 00:01:14,880 +Parody ثم سنرى كيف رالي تتجارب أو تتجارب مثل مارلو + +10 +00:01:14,880 --> 00:01:22,200 +في هذه التجارب ولكن دعني أسألك ما هي Parody؟ + +11 +00:01:25,370 --> 00:01:36,570 +عن طريق مختلف أو مختلف لتفضل الفضاء؟ نعم، فالهدف + +12 +00:01:36,570 --> 00:01:42,190 +الرئيسي للعبارة هي أن تفضل الفضاء هي أن تتحرك أو + +13 +00:01:42,190 --> 00:01:50,690 +تحرك، فالواحد يكتب دعنا نقول قصة أو + +14 +00:01:50,690 --> 00:01:55,750 +قصة في تجاربلقصة اخرى او قصة او قصة او قصة او قصة + +15 +00:01:55,750 --> 00:01:58,010 +او قصة او قصة او قصة او قصة او قصة او قصة او قصة + +16 +00:01:58,010 --> 00:01:59,090 +او قصة او قصة او قصة او قصة او قصة او قصة او قصة + +17 +00:01:59,090 --> 00:01:59,130 +او قصة او قصة او قصة او قصة او قصة او قصة او قصة + +18 +00:01:59,130 --> 00:01:59,710 +او قصة او قصة او قصة او قصة او قصة او قصة او قصة + +19 +00:01:59,710 --> 00:02:04,170 +او قصة او + +20 +00:02:04,170 --> 00:02:09,370 +قصة او قصة او قصة او قصة او قصة او قصة او قصة او + +21 +00:02:09,370 --> 00:02:19,390 +قصة او قصة او قصة + +22 +00:02:19,390 --> 00:02:27,700 +اوهو يعني يضحك عليه؟ هذا ما سنشاهده ولكن السؤال هو + +23 +00:02:27,700 --> 00:02:39,320 +كيف هو يضحك عليه؟ كيف؟ يجب أن يضحك عليه على مستوى + +24 +00:02:39,320 --> 00:02:47,620 +مهم، على مستوى لغوية، على مستوى شكل، هذا ما + +25 +00:02:47,620 --> 00:02:56,130 +سنشاهده اليوممثلًا، إذا نتذكر أن قصة مارلوس هي عن + +26 +00:02:56,130 --> 00:03:04,570 +ماذا؟ قصة مارلوس هي عن بسيطة الحياة الدكتورية، هي + +27 +00:03:04,570 --> 00:03:13,590 +عن موتية الحياة الدكتوريةهو اقتراح وإ�عانة مثلًا + +28 +00:03:13,590 --> 00:03:22,290 +لسيدة مارنوس ليدي لتعيش معه في هذه الحياة الجميلة + +29 +00:03:22,290 --> 00:03:30,110 +الأن نريد أن نرى كيف يحفظ + +30 +00:03:30,110 --> 00:03:40,180 +كلمة كامة قبل أن أبدأ أريدك أن تكوني أعرفعندما + +31 +00:03:40,180 --> 00:03:48,920 +نقول بارودي لعبات معينة مثل انا قد اكتشفها لك + +32 +00:03:48,920 --> 00:03:56,600 +لأنها ستساعدك في ال .. في + +33 +00:03:56,600 --> 00:04:03,740 +التحدث عن بارودي هل + +34 +00:04:03,740 --> 00:04:06,380 +تعرفين ماذا يعني مخ لمخ؟ + +35 +00:04:14,630 --> 00:04:30,650 +ماذا هذا؟ هل + +36 +00:04:30,650 --> 00:04:38,030 +يمكنك أن تحضر صفحة الصفحة على الصفحة؟ حسنا، هل + +37 +00:04:38,030 --> 00:04:42,300 +يمكن أن يأتي أحد و يقوم بإصلاح هذا؟لذلك قد نحتاج + +38 +00:04:42,300 --> 00:04:50,660 +أن نستخدم كلمات مثل او كلمات مثل مق مق + +39 +00:04:50,660 --> 00:04:55,780 +ستاريزز + +40 +00:04:55,780 --> 00:05:03,660 +رفيوتز + +41 +00:05:03,660 --> 00:05:10,540 +انت تعرف الرفيوتز؟ ديبانكز؟ انفاليديتز؟ + +42 +00:05:16,050 --> 00:05:21,010 +what do I do؟ just like I want a small .. I mean a + +43 +00:05:21,010 --> 00:05:26,410 +large font .. a large font so when we are + +44 +00:05:26,410 --> 00:05:32,310 +discussing how this is a parody we might need to + +45 +00:05:32,310 --> 00:05:38,230 +use these verbs how he makes fun of him how he you + +46 +00:05:38,230 --> 00:05:42,490 +know disdains his idea you might need the word + +47 +00:05:42,490 --> 00:05:43,050 +disdain + +48 +00:05:46,750 --> 00:05:56,830 +هذه كلها محتاجة لإستخدامها عندما تشرح + +49 +00:05:56,830 --> 00:06:01,390 +الـ Parody انت + +50 +00:06:01,390 --> 00:06:09,990 +ذكرت مثل + +51 +00:06:09,990 --> 00:06:16,480 +الـ Parody انها إمتازة ماهي إمتازته؟إذا ننظر إلى + +52 +00:06:16,480 --> 00:06:22,580 +قصة مارلو، هل تتذكر كيف ذهب؟ تعال و أعيش معي و كون + +53 +00:06:22,580 --> 00:06:29,940 +حبيبي و هنا ترى إن كل الكلمة و الحب كانت صغيرة و + +54 +00:06:29,940 --> 00:06:36,520 +حقيقة في كل لغة الشياطين، فماذا تلاحظ؟ هل تلاحظ + +55 +00:06:36,520 --> 00:06:44,000 +مثل نفس الـ rhyme و نفس الرhythm؟ما هو رhythm .. + +56 +00:06:44,000 --> 00:06:50,240 +هل تتذكر رhythm قصة مارلوس؟ Iambic Pentameter مرة + +57 +00:06:50,240 --> 00:06:57,960 +أخرى إذا كل الكلمة و الحب كانت صغيرة و الحقيقة في + +58 +00:06:57,960 --> 00:07:10,960 +كل لغة الشيخ فإذا تسجل هذا و تقول .. إذا .. إذا + +59 +00:07:10,960 --> 00:07:20,500 +أخذنا هذه الرسالةوانتقل إذا كلمة وحب + +60 +00:07:20,500 --> 00:07:25,220 +كانت + +61 +00:07:25,220 --> 00:07:28,840 +كافية إذا + +62 +00:07:28,840 --> 00:07:35,160 +كلمة كانت مضغوطة ما هي مضغوطة؟ + +63 +00:07:37,960 --> 00:07:46,120 +إذا كانوا .. كلمة if they were and love كلمة و + +64 +00:07:46,120 --> 00:07:47,600 +كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و + +65 +00:07:47,600 --> 00:07:48,360 +كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و + +66 +00:07:48,360 --> 00:07:54,980 +كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و + +67 +00:07:54,980 --> 00:07:55,340 +كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و + +68 +00:07:55,340 --> 00:07:57,040 +كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و + +69 +00:07:57,040 --> 00:07:57,040 +كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و + +70 +00:07:57,040 --> 00:07:57,040 +كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و كلمة و + +71 +00:07:57,040 --> 00:08:08,290 +كلمة و كلمة و كلمةأعني كم مطعم لدينا إذا كلمة كلمة + +72 +00:08:08,290 --> 00:08:16,590 +واحدة وحب اثنين كانت كافية تعرفين ثلاثة و أربعة + +73 +00:08:16,590 --> 00:08:22,370 +لأن كافية أربعة و أربعة و تعرفين كل كلمة لديها + +74 +00:08:22,370 --> 00:08:29,550 +اتنين فهي نفس الرhythm و نفسها إذا تشوفينها هي نفس + +75 +00:08:29,550 --> 00:08:31,310 +اللعبة + +76 +00:08:39,470 --> 00:08:40,870 +باببببببببببببببببببببببب + +77 +00:09:04,760 --> 00:09:10,080 +هل هو يضحك بجانبه؟ كيف؟ كيف هو يقرصه؟ كيف هو + +78 +00:09:10,080 --> 00:09:14,900 +يسحبه؟ كيف هو يرفض؟ الآن عندما أقول إن هذه مقصدة، + +79 +00:09:14,900 --> 00:09:19,840 +أنا لا أريدك أن تقارن أو تقارن لأن هذه خطأ عامة، + +80 +00:09:19,840 --> 00:09:23,200 +عادة في الدراسة، في السنة الماضية، أسأل إلى مدى + +81 +00:09:23,200 --> 00:09:28,480 +قيمة هذه القصة مقصدة، وكثير من المدرسين استمروا في + +82 +00:09:28,480 --> 00:09:33,180 +التقارن والتقارن بين القصتين، وفقدوا نقطة السؤال + +83 +00:09:34,190 --> 00:09:40,070 +لذلك عندما أقول برنامج أريدك أن تريني كيف يجعله + +84 +00:09:40,070 --> 00:09:47,790 +يستمتع، كيف يتخيل، كيف يتخلص من كل القصة، هل ترى + +85 +00:09:47,790 --> 00:09:50,810 +ما أقصدي؟ لذلك دعنا نرى كيف؟ + +86 +00:09:57,650 --> 00:10:04,790 +وانتظار الانسان ان يأتي ويعيش معه ولكن حقا هو عن + +87 +00:10:04,790 --> 00:10:09,670 +الموت وكل هذه الأشياء الجميلة تذهب إلى الموت وليس + +88 +00:10:09,670 --> 00:10:23,270 +مقاومة أن تأتي نعم، فما كان روحاً كالميتل في مارلو + +89 +00:10:26,350 --> 00:10:34,990 +موتى، ففي رالي أو مارلو، الحب والحياة كانت موتى، + +90 +00:10:34,990 --> 00:10:44,270 +لكن هنا هم موتى، كيف؟ كيف تقول؟ كيف هم موتى؟ كيف + +91 +00:10:44,270 --> 00:10:49,670 +هم موتى؟ هل لديك أثناء من القصة؟ أن هذه الأشياء + +92 +00:10:49,670 --> 00:10:59,480 +موتى؟ نعم كيف هم موتى؟إن كل شيء سيختفي و الوقت لن + +93 +00:10:59,480 --> 00:11:03,660 +يسيطر على كل شيء هذا ما يمكنك من الخارج ولكن من + +94 +00:11:03,660 --> 00:11:12,040 +الداخل من القصة كيف؟ نعم جهان كما تحدثنا المرة + +95 +00:11:12,040 --> 00:11:16,320 +الأخيرة عندما أخذنا الرسالة الأولى وقال كلمة if + +96 +00:11:16,320 --> 00:11:22,460 +فهي كما لو أنه يقول إن العالم و الحب ليسوا كافيين + +97 +00:11:22,460 --> 00:11:27,760 +و هو يقول إن كانوا ifلذلك هل تريد أن تقول أن الوضع + +98 +00:11:27,760 --> 00:11:34,880 +مثل الوضع أن الحياة والحب ليس كافياً لأن هذا وضع + +99 +00:11:34,880 --> 00:11:42,920 +وضع ولكن أريد أشياء أكتر صحيحة أو إثارة من القصة + +100 +00:11:42,920 --> 00:11:46,500 +التي تشير إلى أن كل هذه .. نعم بفضل الله + +101 +00:11:57,080 --> 00:12:02,460 +yes yes this is an example of ephemerality like + +102 +00:12:02,460 --> 00:12:06,020 +you know what it means transience ephemeral like + +103 +00:12:06,020 --> 00:12:08,160 +something which doesn't last + +104 +00:12:20,050 --> 00:12:25,650 +means transient something + +105 +00:12:25,650 --> 00:12:31,330 +which doesn't last yes like these thy gown thy + +106 +00:12:31,330 --> 00:12:35,990 +shoes you know all the golden promises you know + +107 +00:12:35,990 --> 00:12:40,890 +will be like transient like will be temporal okay + +108 +00:12:40,890 --> 00:12:41,870 +good + +109 +00:12:45,750 --> 00:12:52,050 +الطيبات تتنفس تتنفس + +110 +00:12:52,050 --> 00:12:59,410 +مثلًا هنا إنها صورة من الموتى + +111 +00:12:59,410 --> 00:13:07,690 +ماذا بقى؟ لنذهب إلى القصة، نعم، نعم، أرجوك + +112 +00:13:12,680 --> 00:13:18,640 +الوقت يدفع الحيوان من حيوان إلى حيوان، هذا هو صورة + +113 +00:13:18,640 --> 00:13:23,080 +من ماذا؟ هذه صورة + +114 +00:13:23,080 --> 00:13:29,780 +من الانتهاءلا يوجد أي شيء يسمى موتى، انظر هنا، + +115 +00:13:29,780 --> 00:13:34,920 +الوقت يدفع الحركة من مجلد إلى مجلد، لذلك يمكنك أن + +116 +00:13:34,920 --> 00:13:41,060 +تقول كما تسمي راني في هذه القصة تحت قطع أو تحت عقل + +117 +00:13:41,060 --> 00:13:47,640 +أو تتفرج، مهما يمكنك أن تستخدم الرفيوت مثل + +118 +00:13:47,640 --> 00:13:53,410 +اعتبار مارلو عن موتية الحياة بقول أن الوقتسنضع + +119 +00:13:53,410 --> 00:13:58,090 +نهاية لكل أشياء، لكل أشياء ميتة، لذا، نعم، هنا + +120 +00:13:58,090 --> 00:14:08,290 +أكتر صور، أكتر صور من الموت، نعم، هنا يجب أن نكون + +121 +00:14:08,290 --> 00:14:10,310 +داخلين لنرى الصور + +122 +00:14:22,750 --> 00:14:29,010 +ماذا عن مصادر تزوّن القديم؟ ماذا يعني مصادر تزوّن + +123 +00:14:29,010 --> 00:14:36,330 +القديم؟ إنها صورة لتزوّن، إنها صورة لتغيير، إنها + +124 +00:14:36,330 --> 00:14:42,170 +صورة لتتغيير، نعم + +125 +00:14:42,170 --> 00:14:46,990 +ماذا + +126 +00:14:46,990 --> 00:14:47,010 +أخر؟ + +127 +00:14:52,350 --> 00:15:02,230 +ماذا عن الصورة الصحيحة؟ مثلًا هنا ماذا + +128 +00:15:02,230 --> 00:15:06,190 +سيحدث؟ + +129 +00:15:11,330 --> 00:15:16,070 +نعم مثلًا ملابسك، أشياءك، روزك، كبكك، كرتلك + +130 +00:15:16,070 --> 00:15:20,430 +ومظاهرك قريبًا تفجر، قريبًا تتجسس، قريبًا تنسى، + +131 +00:15:20,430 --> 00:15:22,650 +قريبًا تتجسس، قريبًا تتجسس، قريبًا تتجسس، قريبًا + +132 +00:15:22,650 --> 00:15:23,710 +تتجسس، قريبًا تتجسس، قريبًا تتجسس، قريبًا تتجسس، + +133 +00:15:23,710 --> 00:15:23,710 +قريبًا تتجسس، قريبًا تتجسس، قريبًا تتجسس، قريبًا + +134 +00:15:23,710 --> 00:15:33,590 +تتجسس، قريبًا تتجسس، قريبًا تتجسس، قريبًا تتجسس، + +135 +00:15:39,510 --> 00:15:47,470 +هو يعني مقص مارلوس بإظهار أن لا شيء غير موتى، لذلك + +136 +00:15:47,470 --> 00:15:54,610 +مقصه بإسحاب موضوعه، أنا أحب كلمة إسحاب، تعرفين؟ + +137 +00:15:54,610 --> 00:15:59,250 +إسحاب مثل تغيير موضوعه، يظهر العكس، إذا كنت ترغب + +138 +00:15:59,250 --> 00:16:03,910 +في إسحاب موضوعك، تظهر العكس، إسحاب + +139 +00:16:12,400 --> 00:16:24,360 +نعم هو يتحرر .. هو + +140 +00:16:24,360 --> 00:16:31,580 +يتحرر الفيديو بإظهار المنافسة حسنًا الأن .. + +141 +00:16:35,070 --> 00:16:40,510 +الـ Parody هنا تعمل على مستوى تمام كما تعلم أنه + +142 +00:16:40,510 --> 00:16:49,390 +يأخذ مصطلحه ويحرزه ويحرزه بإظهار مصطلح عكسي أيضًا + +143 +00:16:49,390 --> 00:16:55,430 +لدينا أخرين مثلًا يمكن أن يكون باستخدام الاختيارات + +144 +00:16:55,430 --> 00:17:00,510 +اللغية باستخدام اختيارات اللغية الأخرى لذا ماذا + +145 +00:17:00,510 --> 00:17:09,000 +يمكن أن تخبرني عنهنا إذا ننظر إلى الكلمات مارلو + +146 +00:17:09,000 --> 00:17:13,620 +في قصته come live with me and be my love and we + +147 +00:17:13,620 --> 00:17:19,280 +all the pleasures prove, you know؟ لذلك إذا تتكلم + +148 +00:17:19,280 --> 00:17:25,800 +عن الحب والجمهور، إذا ذهبنا إلى مارلو، الحب + +149 +00:17:25,800 --> 00:17:32,200 +والجمهور، الجمال، ما هي هذه الأشياء؟مثلًا، في + +150 +00:17:32,200 --> 00:17:35,720 +الكلمة، نسميها ماذا؟ هل هما نعنامات حقيقية أو + +151 +00:17:35,720 --> 00:17:41,680 +ماذا؟ هم نعنامات عبسكتية، هم نعنامات عبسكتية، وهنا + +152 +00:17:41,680 --> 00:17:46,360 +مثلًا في القصة مرة أخرى، يبقى لخياراته نفسها، + +153 +00:17:46,360 --> 00:17:51,600 +يستخدمها إذا كان كل الكلمة والحب صغيرًا، مثلًا مرة + +154 +00:17:51,600 --> 00:17:57,400 +أخرى، يخبر أن هذه الأشياء عبسكتية، وما هو عبسكتية؟ + +155 +00:17:58,890 --> 00:18:05,050 +remote from reality from real things and even like + +156 +00:18:05,050 --> 00:18:10,950 +because this is .. who is replying to marlo .. who + +157 +00:18:10,950 --> 00:18:13,830 +is replying to marlo in rally .. who is like the + +158 +00:18:13,830 --> 00:18:17,150 +speaker .. the lady .. but what is the lady called + +159 +00:18:17,150 --> 00:18:23,150 +.. the nymph .. what is a nymph .. what is a nymph + +160 +00:18:25,360 --> 00:18:33,720 +أنا أعرف أن نمث هو مخلوق ميثيقى، ميثيقى أولاً كلمة + +161 +00:18:33,720 --> 00:18:39,240 +نمث هي من اللاتينيين اللي يعني ميثيقى، وماذا هو + +162 +00:18:39,240 --> 00:18:43,620 +ميثيقى؟ عندما نقول ميثيقى، هذا مخلوق ميثيقى، ماذا + +163 +00:18:43,620 --> 00:18:50,830 +هو مخلوق ميثيقى؟ مخلوق ميثيقى ليس حقيقيأو غير + +164 +00:18:50,830 --> 00:18:57,810 +حقيقي، فهنا مرة أخرى هو يضربه بإظهار + +165 +00:18:57,810 --> 00:19:01,510 +أنه يتكلم عن أشياء غير حقيقية، انظر إلى الـ + +166 +00:19:01,510 --> 00:19:04,750 +Abstract Nouns، انظر إلى الـNymph، وهو مثل + +167 +00:19:04,750 --> 00:19:06,330 +المخلوقات المخلوقات المخلوقات المخلوقات المخلوقات + +168 +00:19:06,330 --> 00:19:06,870 +المخلوقات المخلوقات المخلوقات المخلوقات المخلوقات + +169 +00:19:06,870 --> 00:19:08,370 +المخلوقات المخلوقات المخلوقات المخلوقات المخلوقات + +170 +00:19:08,370 --> 00:19:08,930 +المخلوقات المخلوقات المخلوقات المخلوقات المخلوقات + +171 +00:19:08,930 --> 00:19:08,970 +المخلوقات المخلوقات المخلوقات المخلوقات المخلوقات + +172 +00:19:08,970 --> 00:19:09,010 +المخلوقات المخلوقات المخلوقات المخلوقات المخلوقات + +173 +00:19:09,010 --> 00:19:12,830 +المخلوقاتby choosing words that have to do with + +174 +00:19:12,830 --> 00:19:20,390 +unreal things and this again is supported by what؟ + +175 +00:19:20,390 --> 00:19:30,930 +by if .. if all .. if all the word you see if all + +176 +00:19:30,930 --> 00:19:37,630 +the word and love by if .. if as we said last time + +177 +00:19:39,480 --> 00:19:44,520 +هو مفهوم ومفهومه + +178 +00:19:44,520 --> 00:19:52,620 +يتعلق بالعقل هو مثلًا إذا كان شخصًا يقول إذا كنت + +179 +00:19:52,620 --> 00:19:59,040 +تعرف إذا كان كل الكلمات والحب كافية فما هو ما هو + +180 +00:19:59,040 --> 00:20:00,380 +ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما + +181 +00:20:00,380 --> 00:20:01,000 +هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو + +182 +00:20:01,000 --> 00:20:02,780 +ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما + +183 +00:20:02,780 --> 00:20:03,080 +هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو + +184 +00:20:03,080 --> 00:20:03,100 +ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما + +185 +00:20:03,100 --> 00:20:03,100 +هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو + +186 +00:20:03,100 --> 00:20:03,100 +ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما + +187 +00:20:03,100 --> 00:20:03,100 +هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو + +188 +00:20:03,100 --> 00:20:03,100 +ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما هو ما + +189 +00:20:03,100 --> 00:20:09,090 +هو ما هو ما هو ما هو ما هو ما هوو ماذا نسمي هذه + +190 +00:20:09,090 --> 00:20:18,550 +الهجومة؟ انها هجومة من السينيسيز هو + +191 +00:20:18,550 --> 00:20:28,550 +سينيكال هو سكبتكل لذلك باستخدام if باستخدام you + +192 +00:20:28,550 --> 00:20:35,210 +know if and again could إذا كنت تنظر في النهاية + +193 +00:20:39,520 --> 00:20:43,720 +but could youth lust and love still breed had joys + +194 +00:20:43,720 --> 00:20:47,980 +again here and we have the conditional so the poem + +195 +00:20:47,980 --> 00:20:51,760 +begins with the conditional and ends with the + +196 +00:20:51,760 --> 00:20:55,280 +conditional and the conditional has to do with the + +197 +00:20:55,280 --> 00:21:00,080 +attitude of cynicism so we could easily say rally + +198 +00:21:00,080 --> 00:21:09,300 +is skeptical doesn't believe marlo he thinksإن + +199 +00:21:09,300 --> 00:21:15,260 +المفهومات عن الحب غير موتى وحياة + +200 +00:21:15,260 --> 00:21:23,380 +غير حقيقية، ليسوا صحيحين وهذه الهجومة السينيكالية + +201 +00:21:23,380 --> 00:21:33,040 +تم تثبيتها باستخدام الـF أو استخدام الـF + +202 +00:21:33,040 --> 00:21:41,840 +في البداية وكان يمكن أن يكون في النهايةOkay أكتر + +203 +00:21:41,840 --> 00:21:50,000 +مثلًا إذا ننظر هنا نظر + +204 +00:21:50,000 --> 00:21:57,920 +إلى الاتصالات، نظر إلى التجارب لهذه الاتصالات، نظر + +205 +00:21:57,920 --> 00:22:01,380 +إلى الاتصالات، نظر إلى الاتصالات، نظر إلى + +206 +00:22:01,380 --> 00:22:01,460 +الاتصالات، نظر إلى الاتصالات، نظر إلى الاتصالات، + +207 +00:22:01,460 --> 00:22:01,460 +نظر إلى الاتصالات، نظر إلى الاتصالات، نظر إلى + +208 +00:22:01,460 --> 00:22:01,520 +الاتصالات، نظر إلى الاتصالات، نظر إلى الاتصالات، + +209 +00:22:01,520 --> 00:22:02,320 +نظر إلى الاتصالات، نظر إلى الاتصالات، نظر إلى + +210 +00:22:02,320 --> 00:22:02,320 +الاتصالات، نظر إلى الاتصالات، نظر إلى الاتصالات، + +211 +00:22:02,320 --> 00:22:03,400 +نظر إلى الاتصالات، نظر إلى الاتصالات، نظر إلى + +212 +00:22:03,400 --> 00:22:07,340 +الاتصالات، نظ + +213 +00:22:08,210 --> 00:22:12,410 +thy shoes, thy beds of roses, thy cab, thy curtain + +214 +00:22:12,410 --> 00:22:21,790 +and thy poses. So here, yes, these lexical + +215 +00:22:21,790 --> 00:22:25,710 +or these syntactic choices you know thy thy with + +216 +00:22:25,710 --> 00:22:30,510 +the repetition, what do they convey with them? A + +217 +00:22:30,510 --> 00:22:35,530 +sense ofrejection yeah they they induced you know + +218 +00:22:35,530 --> 00:22:41,670 +a sense of boredom but when you say thy thy yeah + +219 +00:22:41,670 --> 00:22:46,490 +like he's sarcastic he's sarcastic he makes fun of + +220 +00:22:46,490 --> 00:22:58,160 +him he you know uh refutes all hisوالتحديات وكل + +221 +00:22:58,160 --> 00:23:08,180 +اعتباره عن الانتقال والجمال. وإذا ننظر، نرى كيف + +222 +00:23:08,180 --> 00:23:14,620 +كان يحفظ فكرة الانتقال وكيف يحفظ فكرة الجمالأقولها + +223 +00:23:14,620 --> 00:23:19,680 +مرة أخرى، هنا لديك صورة من الغضب، لديك صورة من + +224 +00:23:19,680 --> 00:23:24,880 +الظلمة، وإذا كنا نذهب إليها، مثلا انظر هنا، عندما + +225 +00:23:24,880 --> 00:23:34,040 +شيء يتفجر، هل هو جميل؟ عندما شيء يتحول من أزرق + +226 +00:23:34,040 --> 00:23:41,460 +أزرق إلى أزرق، أزرق، أزرق أو شيء مثل هذا، هو صورة + +227 +00:23:41,460 --> 00:23:47,030 +الموتوهذا ما يحدث ولكن + +228 +00:23:47,030 --> 00:23:51,270 +مرة أخرى Thy belt of straw and ivy buds Thy coral + +229 +00:23:51,270 --> 00:23:58,490 +clasp and amber studs Thy .. Thy .. فماذا يظهر + +230 +00:23:58,490 --> 00:24:06,610 +هذا؟ يظهر مثل .. أعني هنا ما + +231 +00:24:06,610 --> 00:24:11,470 +يريد أن يقول رانيه أن هذه الأشياء مخلوقات + +232 +00:24:12,670 --> 00:24:20,910 +الجمهورية مخلوقية ليست جنية حقيقية لأنها ليست + +233 +00:24:20,910 --> 00:24:22,210 +جمهورية مستمردة + +234 +00:24:40,100 --> 00:24:43,860 +إذا كنت تنزل قليلاً لكل كلمة والحب كان صغيرًا + +235 +00:24:43,860 --> 00:24:46,900 +والحقيقة في كل شهر، هذه السعادات الجميلة، كلمة + +236 +00:24:46,900 --> 00:24:53,600 +جميلة عندما يقول هذه جميلة، هل يعني أنهم جميلين؟ + +237 +00:24:53,600 --> 00:24:59,020 +لذلك، ماذا يريد أن يقول؟ لا تظن أنه سركازي هنا؟ + +238 +00:24:59,020 --> 00:25:05,020 +لذلك، ماذا يريد أن يقول بالضبط؟ نعم، أرجوك + +239 +00:25:08,070 --> 00:25:12,910 +نعم، إنهم جميلين وليسوا جميلين، إنهم جميلين مثلما + +240 +00:25:12,910 --> 00:25:18,550 +كان .. إنها مضحكة، إن هذه الممتعات الجميلة يمكنني + +241 +00:25:18,550 --> 00:25:20,650 +أن أتحرك، مرة أخرى، كان يريد أن يقول إن هذه + +242 +00:25:20,650 --> 00:25:25,830 +الأشياء عشوائية، ليست حقيقية، لذلك أنا لست قادم + +243 +00:25:25,830 --> 00:25:30,490 +معك إذا + +244 +00:25:30,490 --> 00:25:35,470 +ننظر إلى المجالات الهيوغوية، أعني مثل المصطلحات + +245 +00:25:36,380 --> 00:25:42,240 +مثلًا كيف يستخدم المصطلحات وكيف يستخدم التخلص + +246 +00:25:42,240 --> 00:25:48,380 +أيضًا نرى كأنه يسيطر عليه عندما يقول الوقت يسيطر + +247 +00:25:48,380 --> 00:25:56,480 +الفلوس من مكان إلى مكان التخلص هنا تعرف التخلص + +248 +00:25:56,480 --> 00:26:13,700 +يظهر ماذا؟ يظهر صورة حرارةتتفكّر كم هو صعب وكم هو + +249 +00:26:13,700 --> 00:26:20,060 +مفتوح سيكون مثل عادلات الوقت الوقت سيكون مدمجًا + +250 +00:26:20,060 --> 00:26:33,600 +وهذه الصعوبة التي نشعر بها من التغيير تتعادل + +251 +00:26:34,580 --> 00:26:41,700 +مع صوت الموسيقى من قصة مارلوس إذا تتذكر قصة مارلوس + +252 +00:26:41,700 --> 00:26:49,820 +كانت مليئة بالموسيقى كانت مليئة بصوت الحيوانات + +253 +00:26:49,820 --> 00:26:58,430 +والمدرقلين هنا لدينا بدل من الملوجيسالملوجس + +254 +00:26:58,430 --> 00:27:06,710 +مادريجلز نحن لدينا وقت يدفع الـ Flux من المطر إلى + +255 +00:27:06,710 --> 00:27:13,230 +المجلد والجبهات والحرارة والجبهات تنزل في الظلام، + +256 +00:27:13,230 --> 00:27:23,350 +لذلك السرينة والسلام في قصة مارلوز مغفرة + +257 +00:27:25,560 --> 00:27:31,480 +وانتقلوا وانتقلوا وانتقلوا وانتقلوا وانتقلوا + +258 +00:27:31,480 --> 00:27:37,680 +وانتقلوا وانتقلوا وانتقلوا وانتقلوا وانتقلوا + +259 +00:27:37,680 --> 00:27:37,700 +وانتقلوا وانتقلوا وانتقلوا وانتقلوا وانتقلوا + +260 +00:27:37,700 --> 00:27:37,780 +وانتقلوا وانتقلوا وانتقلوا وانتقلوا وانتقلوا + +261 +00:27:37,780 --> 00:27:37,800 +وانتقلوا وانتقلوا وانتقلوا وانتقلوا وانتقلوا + +262 +00:27:37,800 --> 00:27:38,000 +وانتقلوا وانتقلوا وانتقلوا وانتقلوا وانتقلوا + +263 +00:27:38,000 --> 00:27:48,480 +وانتقلوا وانتقلوا وانتقلوا وانتقلوا وانتقلوا + +264 +00:27:48,480 --> 00:27:54,660 +وانتقلوا وانتقلوا وانهنا لدينا الرسالة كانت تغيظ، + +265 +00:27:54,660 --> 00:27:59,380 +ولكن هنا الـ Philemon أصبح غامضًا، هنا الناس + +266 +00:27:59,380 --> 00:28:03,680 +غامضين، لماذا؟ + +267 +00:28:03,680 --> 00:28:11,580 +لذلك فإن شعور الأمان، شعور السلام يتم تغيظه من + +268 +00:28:11,580 --> 00:28:17,920 +الغضب والشك. هنا هناك شك، لماذا يكون Philemon + +269 +00:28:17,920 --> 00:28:26,010 +غامضًا؟بسبب حرارة الـ upheaval، تعرفين ما يعني + +270 +00:28:26,010 --> 00:28:30,690 +upheaval؟ التغيير، سيكون التغيير عالمي، لا شيء + +271 +00:28:30,690 --> 00:28:33,930 +سيبقى كما هو، لذلك سيتم القيام بـphilemal + +272 +00:28:39,140 --> 00:28:42,440 +مثلًا هذا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +273 +00:28:42,440 --> 00:28:45,260 +مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +274 +00:28:45,260 --> 00:28:46,720 +مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +275 +00:28:46,720 --> 00:28:47,700 +مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +276 +00:28:47,700 --> 00:28:55,980 +مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +277 +00:28:55,980 --> 00:28:59,060 +مثلًا مثلًا + +278 +00:29:08,860 --> 00:29:17,120 +أعتقد أننا بدأنا نكره .. نبدأنا نكره .. قصة مارلوز + +279 +00:29:17,120 --> 00:29:22,800 +بدأت تخسر .. البلوك تتسلق و الناس تشعر بالرغم من + +280 +00:29:22,800 --> 00:29:28,120 +ذلك .. لتحمل كلمة .. عام .. ركنانجيل .. لحنه تنغ + +281 +00:29:28,120 --> 00:29:33,020 +.. انظر مرة أخرى، هذه تقنية أخرى، لحنه تنغ، قلب + +282 +00:29:33,020 --> 00:29:37,350 +مجنونFancy spring but soon it falls. Now what is + +283 +00:29:37,350 --> 00:29:41,430 +he doing? He is juxtaposing. You know what means + +284 +00:29:41,430 --> 00:29:46,070 +juxtapose? To put side by side things. A honey + +285 +00:29:46,070 --> 00:29:54,460 +tongue what is sweet will be better of goldما يكون + +286 +00:29:54,460 --> 00:30:01,200 +لطيفًا سيكون مظلمًا ومظلمًا، لذلك مرة أخرى التقصيد + +287 +00:30:01,200 --> 00:30:07,700 +مثل تقصيد التقصيد مثلًا هنا في هذه الكتابة، يتقصد + +288 +00:30:07,700 --> 00:30:14,740 +مثل الجمال مع الظلمة، يتقصد الحلوة مع الظلمة، لذلك + +289 +00:30:14,740 --> 00:30:22,360 +التقصيد مثلًا لتحفظ، لتظهر أنما كان جميلًا في + +290 +00:30:22,360 --> 00:30:27,420 +مارلو ليس شيء لتظهر حقيقة المقابلة حقيقة اعتبار + +291 +00:30:27,420 --> 00:30:32,200 +مارلو كما + +292 +00:30:32,200 --> 00:30:36,480 +ترى + +293 +00:30:36,480 --> 00:30:42,600 +هنا هذه مقاطعة كامة وكما + +294 +00:30:42,600 --> 00:30:49,810 +تعلمينبتبدأ كتابتك كيف انه مقصد بإظهار هذا لكنك + +295 +00:30:49,810 --> 00:30:55,310 +تستطيع أن تكون أكتر مجتمع، ترى؟ كما يجب أن تظهر + +296 +00:30:55,310 --> 00:31:05,750 +كيف هو يعني يفضل المرحلة، يفضل الموضوع نفسه، يفضل + +297 +00:31:05,750 --> 00:31:10,050 +كل المعدلات، + +298 +00:31:10,050 --> 00:31:16,560 +المعدلات التي كانت مهمة جدًاهما يصبحون مغضبين، + +299 +00:31:16,560 --> 00:31:24,940 +لذلك ما كان مغضبًا في مارلو هو أنه يصبح هنا + +300 +00:31:24,940 --> 00:31:30,740 +مغضبًا، مغضبًا مثل المكرر، شيء لا نحبه، مغضبًا + +301 +00:31:43,310 --> 00:31:48,650 +نعم ريبانجنال، لذلك أعتقد أن قطعة الثلاجات، الكرتل + +302 +00:31:48,650 --> 00:31:55,450 +اللي كانت مصنوعة من مرتل، هم الأشياء اللي هم .. هم + +303 +00:31:55,450 --> 00:32:00,670 +.. هم .. لسنا نحبهم، لا يزالوا ..الذين لا يزالوا + +304 +00:32:00,670 --> 00:32:06,770 +يحررون على العكس، إنهم صورة من الحرور والموت، صورة + +305 +00:32:06,770 --> 00:32:13,990 +من الترانسيز، لذلك مثلًا هنا ترى أنه يتجاوز بفعل + +306 +00:32:13,990 --> 00:32:20,470 +هذا، يتغير كل شيء، يتحرر، يتحرر، يتحرر، هذا ما + +307 +00:32:20,470 --> 00:32:26,570 +أريدك أن تفعله عندما تكتبين الـ Parodyحسنًا، هذا + +308 +00:32:26,570 --> 00:32:30,030 +عن الـ Parody، و الأن لدينا بعض الوقت لنتحدث عن + +309 +00:32:30,030 --> 00:32:35,330 +ذلك، لأن هذا مثل تفكيرك، سيكون تفكيرك، لذلك أريدك + +310 +00:32:35,330 --> 00:32:40,310 +أن تقارن و تقارن بين الاثنين القصص وعندما تكتب + +311 +00:32:40,310 --> 00:32:46,130 +تقارن، كما تعلمين، أريدك أن تأخذ تقرار واحد، لذلك + +312 +00:32:46,130 --> 00:32:52,540 +عندما تقارنمقارنة، ماذا ستفعل؟ و أعتقد هنا أنك + +313 +00:32:52,540 --> 00:32:58,360 +تحتاج لتقارير أكتر من مقارنة ولكن هناك .. كما + +314 +00:32:58,360 --> 00:33:01,440 +تعلمين .. كما تعلمين .. عندما أقول مقارنة، تتكلم + +315 +00:33:01,440 --> 00:33:05,200 +عن مشابهات، تتكلم عن مقارنة، تتكلم عن .. تتكلم عن + +316 +00:33:05,200 --> 00:33:07,160 +.. تتكلم عن .. تتكلم عن .. تتكلم عن .. تتكلم عن .. + +317 +00:33:07,160 --> 00:33:07,420 +تتكلم عن .. تتكلم عن .. تتكلم عن .. تتكلم عن .. + +318 +00:33:07,420 --> 00:33:08,720 +تتكلم عن .. تتكلم عن .. تتكلم عن .. تتكلم عن .. + +319 +00:33:08,720 --> 00:33:08,720 +تتكلم عن .. تتكلم عن .. تتكلم عن .. تتكلم عن .. + +320 +00:33:08,720 --> 00:33:09,500 +تتكلم عن .. تتكلم عن .. تتكلم عن .. تتكلم عن .. + +321 +00:33:09,500 --> 00:33:15,360 +تتكلم عنيمكنك فعل هذا بكتابة مقال عن موضوع هذه + +322 +00:33:15,360 --> 00:33:20,420 +القصة و بكتابة مقال عن موضوع هذه القصة بكتابة مقال + +323 +00:33:20,420 --> 00:33:24,440 +عن صوت هذه القصة بكتابة مقال عن مقال عن مقال عن + +324 +00:33:24,440 --> 00:33:24,500 +مقال عن مقال عن مقال عن مقال عن مقال عن مقال عن + +325 +00:33:24,500 --> 00:33:24,500 +مقال عن مقال عن مقال عن مقال عن مقال عن مقال عن + +326 +00:33:24,500 --> 00:33:24,520 +مقال عن مقال عن مقال عن مقال عن مقال عن مقال عن + +327 +00:33:24,520 --> 00:33:25,100 +مقال عن مقال عن مقال عن مقال عن مقال عن مقال عن + +328 +00:33:25,100 --> 00:33:25,920 +مقال عن مقال عن مقال عن مقال عن مقال عن مقال عن + +329 +00:33:25,920 --> 00:33:25,920 +مقال عن مقال عن مقال عن مقال عن مقال عن مقال عن + +330 +00:33:25,920 --> 00:33:37,880 +مقال عن مقال + +331 +00:33:37,910 --> 00:33:42,570 +وال .. الـ tone of .. you know .. you can use + +332 +00:33:42,570 --> 00:33:45,550 +while .. whereas .. on one hand .. on the other + +333 +00:33:45,550 --> 00:33:49,190 +hand .. like these transitional words you are + +334 +00:33:49,190 --> 00:33:53,430 +familiar with in your writing courses okay .. so + +335 +00:33:53,430 --> 00:33:58,710 +when you want to compare and contrast what do you + +336 +00:33:58,710 --> 00:34:05,670 +want like to compare .. I think you can comparethe + +337 +00:34:05,670 --> 00:34:06,710 +theme, + +338 +00:34:11,210 --> 00:34:17,970 +the rhyme, the rhythm, you can talk about figures + +339 +00:34:17,970 --> 00:34:23,670 +of speech I mean the style, the style in general, + +340 +00:34:23,830 --> 00:34:26,950 +the style includes figures of speech, includes + +341 +00:34:26,950 --> 00:34:33,250 +alliteration, includes sound, musicWhat else? So + +342 +00:34:33,250 --> 00:34:38,690 +we have the theme Yeah, + +343 +00:34:38,830 --> 00:34:40,870 +when you talk about the language, we are talking + +344 +00:34:40,870 --> 00:34:47,650 +about the style The theme The tone What is the + +345 +00:34:47,650 --> 00:34:50,250 +tone by the way? When we say the tone, what is the + +346 +00:34:50,250 --> 00:34:55,150 +tone? Like usually people are mixing between the + +347 +00:34:55,150 --> 00:34:57,830 +tone and attitude What is a tone? + +348 +00:35:01,850 --> 00:35:05,810 +وما هي الهجوم؟ + +349 +00:35:05,810 --> 00:35:13,430 +ماهو الصوت وماهي الهجوم؟ ماهي الفرق بين الاتنين؟ + +350 +00:35:13,430 --> 00:35:29,300 +صح؟ الصوت الصوت هو اهتمام الكلمات عليناالتأثير من + +351 +00:35:29,300 --> 00:35:35,600 +الكلمات علينا مثلما تنظر إلى كتابة و ترى أن الطفل + +352 +00:35:35,600 --> 00:35:42,140 +السعيد كان يضحك في أمه و بدأ يضحك و كما تعلم؟ لذا + +353 +00:35:42,140 --> 00:35:49,860 +كلمات اضحك، احب، سعيد، تعلم؟ لديها ماذا علينا؟ + +354 +00:35:49,860 --> 00:35:54,980 +لذلك نسمي هذا الهاتف كهاتف سعيدمزحة مزحة ولكن + +355 +00:35:54,980 --> 00:36:00,820 +عندما نحصل على المباراة والحلوات تعرف انها مزحة + +356 +00:36:00,820 --> 00:36:08,920 +لذا إذا تنظر إلى كلمات في قصة مارلو مزحة مزحة مزحة + +357 +00:36:08,920 --> 00:36:14,060 +مزحة مزحة مزحة + +358 +00:36:14,060 --> 00:36:16,500 +مزحة مزحة مزحة مزحة مزحة مزحة مزحة مزحة + +359 +00:36:22,000 --> 00:36:31,780 +التونة محزنة جدا .. محزنة جدا حسنا ال attitude كما + +360 +00:36:31,780 --> 00:36:40,980 +تعلمين كيف يشعر الكهربا لشيء كمان كمان كمان كمان + +361 +00:36:40,980 --> 00:36:43,760 +كمان كمان كمان كمان كمان كمان كمان كمان كمان كمان + +362 +00:36:43,760 --> 00:36:44,540 +كمان + +363 +00:36:47,080 --> 00:36:51,740 +أو عندما أتكلم عن التجارب، أنا أتكلم عن تجارب + +364 +00:36:51,740 --> 00:36:53,680 +الروحانيين تجارب الروحانيين تجارب الروحانيين تجارب + +365 +00:36:53,680 --> 00:36:55,580 +الروحانيين تجارب الروحانيين تجارب الروحانيين تجارب + +366 +00:36:55,580 --> 00:36:56,300 +الروحانيين تجارب الروحانيين تجارب الروحانيين تجارب + +367 +00:36:56,300 --> 00:36:56,360 +الروحانيين تجارب الروحانيين تجارب الروحانيين تجارب + +368 +00:36:56,360 --> 00:36:57,580 +الروحانيين تجارب الروحانيين تجارب الروحانيين تجارب + +369 +00:36:57,580 --> 00:37:01,400 +الروحانيين تجارب الروحانيين تجارب الروحانيين تجارب + +370 +00:37:01,400 --> 00:37:11,140 +الروحانيين تجارب الروحانيين تجارب + +371 +00:37:11,940 --> 00:37:19,560 +بسيميستيك ويمكنك أعتقد أن تظهر هذا من مثال، لذلك + +372 +00:37:19,560 --> 00:37:29,900 +هنا لدينا تون وقصة، يمكنك أيضًا تقارير + +373 +00:37:29,900 --> 00:37:35,280 +المواضيع، المواضع كما رأيناه في الـ Parody، مواضع + +374 +00:37:35,280 --> 00:37:41,500 +واحد كان عن الموت ومواضع الآخر كانت عن الموتيمكنك + +375 +00:37:41,500 --> 00:37:46,040 +تحدث عن شخصيات الحكومة كيف كانت الشخصيات الحكومة + +376 +00:37:46,040 --> 00:37:52,200 +في .. تعلمين .. و المصور .. المصور .. الشخصيات + +377 +00:37:52,200 --> 00:37:59,520 +الحكومة .. حسنًا .. هنا كيف كانوا مظلمين و مليئين + +378 +00:37:59,520 --> 00:38:04,780 +بجمال الجمال ولكن في مارلو تعلمين المصور في + +379 +00:38:04,780 --> 00:38:12,310 +راليسوري .. نعمفكانت تتكلم، أفضل، أعتقد، نعم، هنا + +380 +00:38:12,310 --> 00:38:16,570 +الأصور مختلفة + +381 +00:38:16,570 --> 00:38:21,370 +أيضًا، المقالات مختلفة، لذلك أكتر من المقالات في + +382 +00:38:21,370 --> 00:38:28,310 +قصة رالين يتعلق بالموت، الانتقال، حسنًا، نعم، + +383 +00:38:28,310 --> 00:38:32,790 +يمكنك أن تتكلم أيضًا، أعتقد أن هذا عندما تتكلم عن + +384 +00:38:32,790 --> 00:38:36,750 +الطريقة، كما تعرفين، يمكنك أن تتكلم في الطريقة، + +385 +00:38:36,750 --> 00:38:45,910 +الشكلالشكل والشخصيات اللحظة اللغة الصوت الانتجار + +386 +00:38:45,910 --> 00:38:50,270 +يعني الشكل + +387 +00:38:50,270 --> 00:38:54,850 +هي المجموعة الأكتر لذا دعنا نقول أن هذه النقطة يجب + +388 +00:38:54,850 --> 00:39:00,630 +أن تعتبرها موضوع الموضوع موضوع الموضوع موضوع + +389 +00:39:00,630 --> 00:39:01,230 +الموضوع الموضوع الموضوع الموضوع الموضوع الموضوع + +390 +00:39:01,230 --> 00:39:02,330 +الموضوع الموضوع الموضوع الموضوع الموضوع الموضوع + +391 +00:39:02,330 --> 00:39:05,910 +الموضوع الموضوع الموضوع الموضوع الموضوع الموضوع + +392 +00:39:05,910 --> 00:39:05,910 +الموضوع الموضوع الموضوع الموضوع الموضوع الموضوع + +393 +00:39:05,910 --> 00:39:05,910 +الموضوع الموضوع الموضوع الموضوع الموضوع الموضوع + +394 +00:39:05,910 --> 00:39:05,910 +الموضوع الموضوع الموضوع الموضوع الموضوع الموضوع + +395 +00:39:05,910 --> 00:39:11,040 +الموضالمظهر المصطلح المصطلح المصطلح المصطلح + +396 +00:39:11,040 --> 00:39:15,780 +المصطلح المصطلح المصطلح المصطلح المصطلح المصطلح + +397 +00:39:16,760 --> 00:39:22,880 +لذلك أتمنى أن تعطيني مجرد مقال قريبًا وإذا كان + +398 +00:39:22,880 --> 00:39:28,060 +ممكن سأرسل لك قصة صغيرة عن كيف يمكن أن تساعدك + +399 +00:39:28,060 --> 00:39:34,300 +الـParody نفسها ولكن تحاول أن تختار بين Parody + +400 +00:39:34,300 --> 00:39:41,380 +وComparison في ال Parody أرا كيف تستخدم هذه + +401 +00:39:41,380 --> 00:39:47,280 +الأكتشافاتإذا قلت هذه القصة جميلة ولم يكنك تكتبها + +402 +00:39:47,280 --> 00:39:52,880 +أو تتكلم عن الـparody ولكنك تقارن وتقارن، فأعتقد + +403 +00:39:52,880 --> 00:39:56,800 +أن هذا يكفي لليوم، إذا كان لديك أي سؤال دعني أعرف + +404 +00:39:56,800 --> 00:40:04,020 +أرجاء لا سؤال اليوم أعرف أنني نسيت المقال، لكن هذا + +405 +00:40:04,020 --> 00:40:09,200 +لا يعني أنك تعرف .. لا أعرف كيف نسيت المقاللذا + +406 +00:40:09,200 --> 00:40:12,980 +دعنا نفعلها مختلفاً هذه المرة نحتاج شخص ما لتقرأ + +407 +00:40:12,980 --> 00:40:17,780 +مقالتها الأن إذا كان أحد مستمر لتقرأ مقالتها سيكون + +408 +00:40:17,780 --> 00:40:21,380 +مضحكا هل + +409 +00:40:21,380 --> 00:40:28,060 +أحد مستمر؟ نعم، حسنا، فهذا + +410 +00:40:28,060 --> 00:40:34,200 +هو تنقل من النظام نحن نتنقل من النظام كل يوم و كل + +411 +00:40:34,200 --> 00:40:38,480 +مرة نحصل على مقالةفي البداية، و الأن دعنا نرى + +412 +00:40:38,480 --> 00:40:44,000 +المقال في النهايةDaily report، when I wrote my + +413 +00:40:44,000 --> 00:40:47,840 +daily report I feel confused لأ because when I + +414 +00:40:47,840 --> 00:40:51,660 +wrote it I measure myself walking in a long road I + +415 +00:40:51,660 --> 00:40:55,280 +mean I find many difficulties when writing it + +416 +00:40:55,280 --> 00:40:58,340 +because it is a kind of brainstorming and need + +417 +00:40:58,340 --> 00:41:02,160 +serious thinking a little bit however I like this + +418 +00:41:02,160 --> 00:41:05,680 +task because I discovered that it has special + +419 +00:41:05,680 --> 00:41:09,460 +taste and also because I hate the method of cut + +420 +00:41:09,460 --> 00:41:13,690 +and pasteregarding to the previous lecture it was + +421 +00:41:13,690 --> 00:41:18,110 +like something has a special sight of beauty then + +422 +00:41:18,110 --> 00:41:21,630 +that because we began the lecture by saying the + +423 +00:41:21,630 --> 00:41:25,450 +report and then students said her response which + +424 +00:41:25,450 --> 00:41:28,530 +was beautiful and funny then Mr. Habib asked + +425 +00:41:28,530 --> 00:41:31,970 +several questions and gave us many chances to + +426 +00:41:31,970 --> 00:41:35,030 +think deeply so we began to understand the poem + +427 +00:41:35,030 --> 00:41:39,660 +and think seriouslyafter that the teacher thanked + +428 +00:41:39,660 --> 00:41:43,180 +us because of our efforts also he motivated and + +429 +00:41:43,180 --> 00:41:46,060 +encouraged us by saying you should always follow + +430 +00:41:46,060 --> 00:41:49,240 +this method in short the lecture was so amazing + +431 +00:41:49,240 --> 00:41:54,740 +and nice that we felt excited and did not feel in + +432 +00:41:54,740 --> 00:41:57,260 +that period of that time okay thank you very much + +433 +00:41:57,260 --> 00:42:01,180 +do you want like to read yours? okay is anybody + +434 +00:42:01,180 --> 00:42:03,580 +willing? yes okay + +435 +00:42:09,480 --> 00:42:13,760 +at night when I came to write my daily report at + +436 +00:42:13,760 --> 00:42:18,340 +night when I came to write my daily report I + +437 +00:42:18,340 --> 00:42:20,680 +decided to write about what happened in Arab world + +438 +00:42:20,680 --> 00:42:23,920 +last week as a palestinian people we hadn't heard + +439 +00:42:23,920 --> 00:42:26,720 +a wonderful news for a long time but when the + +440 +00:42:26,720 --> 00:42:31,540 +exchange prisoner deal achieved between Hamas and + +441 +00:42:31,540 --> 00:42:35,140 +Israel gave a government with the Egyptian eye + +442 +00:42:35,140 --> 00:42:39,720 +mediation with Egyptian mediationوكانت المدينة + +443 +00:42:39,720 --> 00:42:47,660 +الفلسطينية كانت محظوظة في مجلس الدولي لإطلاق أكتر + +444 +00:42:47,660 --> 00:42:50,800 +من ألف حجم من الحجم الإسرائيلي من الحجم الإسرائيلي + +445 +00:42:50,800 --> 00:42:51,120 +من الحجم الإسرائيلي من الحجم الإسرائيلي من الحجم + +446 +00:42:51,120 --> 00:42:53,000 +الاسرائيلي من الحجم الاسرائيلي من الحجم الاسرائيلي + +447 +00:42:53,000 --> 00:42:55,600 +من الحجم الاسرائيلي من الحجم الاسرائيلي من الحجم + +448 +00:42:55,600 --> 00:42:55,780 +الاسرائيلي من الحجم الاسرائيلي من الحجم الاسرائيلي + +449 +00:42:55,780 --> 00:42:56,960 +من الحجم الاسرائيلي من الحجم الاسرائيلي من الحجم + +450 +00:42:56,960 --> 00:42:58,360 +الاسرائيلي من الحجم الاسرائيلي من الحجم الاسرائيلي + +451 +00:42:58,360 --> 00:43:04,100 +من الحجم الاسرائيليأيضًا، بين هذه الأخبار السعيدة، + +452 +00:43:04,100 --> 00:43:10,560 +نسمع اتفاق قدافي وقادته بين الهربان الليبيين + +453 +00:43:10,560 --> 00:43:15,560 +ونتمنى أن نسمع أكتر أكتر أخبار سعيدة قدافي لديه + +454 +00:43:15,560 --> 00:43:19,820 +علاقة مع راني، لأن قدافي أفكر مثل مارلو أن الحياة + +455 +00:43:19,820 --> 00:43:30,100 +ومصر ستبقى لأبدأنا قرأت مقال من القصر إلى السرداب + +456 +00:43:30,100 --> 00:43:35,800 +إلى القبر لذلك قمت بتغييره في عقلي من القصر إلى + +457 +00:43:35,800 --> 00:43:42,100 +الوكر ثم القبر لأن هذا كيف يجب أن يكون هكذا ونحن + +458 +00:43:42,100 --> 00:43:45,440 +نتمنى .. ونحن نتمنى أن نسمع أكتر أخبار سعيدة عن + +459 +00:43:45,440 --> 00:43:49,420 +سيارات العرب التي تتطلع إلى السيناريو في عربي .. + +460 +00:43:49,420 --> 00:43:51,800 +في عربي Spring Revolution أو .. + +461 +00:43:54,750 --> 00:44:00,150 +السنة الماضية ستستمر في تحويل التحويل وفي الاطلاق + +462 +00:44:00,150 --> 00:44:06,050 +عن بوتريكلاس لقد بدأنا جامعة جديدة لزاري وانتهينا + +463 +00:44:06,050 --> 00:44:10,970 +اليوم شكرا جزيلا شكرا وانتظروا حسنا أراك المرة + +464 +00:44:10,970 --> 00:44:10,970 +القادمة + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/8csqceWNOlQ_postprocess.srt b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/8csqceWNOlQ_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..ae727f784fbcc27e7682cfa435a0a7ada4b94378 --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/8csqceWNOlQ_postprocess.srt @@ -0,0 +1,1732 @@ +1 +00:00:12,840 --> 00:00:17,120 +Okay good morning everybody hope you are doing + +2 +00:00:17,120 --> 00:00:21,460 +well after this weekend have some time to read + +3 +00:00:21,460 --> 00:00:28,700 +something about Sir Thomas Wyatt his poemOkay and + +4 +00:00:28,700 --> 00:00:32,920 +of course like having good impression about the + +5 +00:00:32,920 --> 00:00:38,820 +previous class So as usual let us start by + +6 +00:00:38,820 --> 00:00:43,520 +listening to a report Who's ready to read her + +7 +00:00:43,520 --> 00:00:49,540 +report? Who's willing to read her report? Okay + +8 +00:00:49,540 --> 00:00:55,820 +Good + +9 +00:00:57,740 --> 00:01:00,440 +The last lecture was very formal because the + +10 +00:01:00,440 --> 00:01:03,600 +cameras were founded, all of us were not in the + +11 +00:01:03,600 --> 00:01:08,620 +normal state, included Dr. Akram Anyway, Dr. Akram + +12 +00:01:08,620 --> 00:01:11,420 +wrote some part of poem which was not written in + +13 +00:01:11,420 --> 00:01:15,900 +the right way as a poem, it's called Forty Love, + +14 +00:01:16,280 --> 00:01:19,080 +we were surprised, then he wrote another poem + +15 +00:01:19,080 --> 00:01:22,740 +which was so strange one, it's called An-An-Tee + +16 +00:01:22,740 --> 00:01:25,580 +-Tee, so he asked us to put it in a metrical + +17 +00:01:25,580 --> 00:01:29,470 +languageواحد من المدرسة فعلتها وبدأ كل واحد مننا + +18 +00:01:29,470 --> 00:01:34,330 +بالضحك ثم قرأتها كقصيدة كانت اللغة الصينية في + +19 +00:01:34,330 --> 00:01:39,670 +الواقع دراسة الاخيرة كانت مضحكة جدا وكانت بداية + +20 +00:01:39,670 --> 00:01:44,810 +اليوم جيدا مع ذلك حسنا شكرا جزيلا و الآن مرة أخرى + +21 +00:01:44,810 --> 00:01:54,070 +هل يمكن أحد أن يقبل؟ حتى الآن + +22 +00:01:54,070 --> 00:01:55,310 +كانت التجارب المفضلة + +23 +00:01:58,830 --> 00:02:01,550 +لكن مرة أخرى، إذا كان لديك مشكلة، يمكنك تذكير + +24 +00:02:01,550 --> 00:02:02,370 +عنها، ليس مشكلة كبيرة + +25 +00:02:07,050 --> 00:02:10,610 +أحقًا كانت دراسة مهمة الأسبوع الماضي أعجبني نظام + +26 +00:02:10,610 --> 00:02:14,390 +الدراسة من بعيد كثيرًا كيف كان جميلًا أن أجد + +27 +00:02:14,390 --> 00:02:17,270 +دراستي عندما كنت بحاجة إلىها على الكمبيوتر، على + +28 +00:02:17,270 --> 00:02:22,570 +الرغم من شعوري في حرق لأن الهواتف كانت في أكتر من + +29 +00:02:22,570 --> 00:02:26,490 +مكان واحد، واحد من السعادة، واحد من السعادة التي + +30 +00:02:26,490 --> 00:02:30,870 +أحبها أيضًا هي السهولة في الانتقال الكتابي، هذا + +31 +00:02:30,870 --> 00:02:34,030 +يجعلني مرتبط بالمواد الكتابية حسنًا، شكرا جزيلا + +32 +00:02:34,030 --> 00:02:40,200 +حتى الآنالمرة القادمة سأسأل بشكل محدد، لن أقول لكم + +33 +00:02:40,200 --> 00:02:44,760 +من يرغب بذلك، حسنًا؟ + +34 +00:02:44,760 --> 00:02:49,100 +والآن، ماذا عن القصة؟ + +35 +00:02:49,100 --> 00:02:55,680 +أعني، من رحل اليد؟ ماذا عن .. أعني، + +36 +00:02:55,680 --> 00:03:00,440 +القصة نفسها، سير توماس وايرأعتقد أنك قد حصلت على + +37 +00:03:00,440 --> 00:03:05,220 +وقت لتجهيزك لكي تكتب ردعية فأنا بحاجة لشخص مثلا مع + +38 +00:03:05,220 --> 00:03:13,600 +ردعية و بعد ذلك يجب أن أطلب من كل طلاب جاهز؟ + +39 +00:03:13,600 --> 00:03:15,540 +لتقرأ ردعية؟ + +40 +00:03:21,440 --> 00:03:25,220 +والدكتور حبيب أسألنا أن نكتب أول حلقة عن أول قصة + +41 +00:03:25,220 --> 00:03:29,620 +جميلة لنا لنقوم بها وكنت أعرف أننا سنكتب عن أول + +42 +00:03:29,620 --> 00:03:33,720 +فكرة عندما نقرأ القصة لأول مرة وفي نفس الوقت أول + +43 +00:03:33,720 --> 00:03:36,820 +فكرة مختلفة كثيرًا وانها غالبًا من الواقع يمكنني + +44 +00:03:36,820 --> 00:03:40,120 +أن أحب القصة لكن الاخر لا يمكنني أن أحبها لكن + +45 +00:03:40,120 --> 00:03:43,970 +صديقي لا يمكنني أن أحبها، كل هذه الأسئلةأتيت لقلبي + +46 +00:03:43,970 --> 00:03:48,250 +و جعلتني قليل من المفاجأة، لكن المدرسة قالت أن + +47 +00:03:48,250 --> 00:03:51,270 +الوصول الوحيد يمكن أن يختلف من شخص لشخص أخر، لكن + +48 +00:03:51,270 --> 00:03:54,950 +في نفس الوقت هناك فهم معلومات عامة و الواقع يأتي + +49 +00:03:54,950 --> 00:03:59,810 +بعد فكرةك لللغة و استخدام اللغة و مرحلة تاريخية عن + +50 +00:03:59,810 --> 00:04:05,070 +دباون و دباون نفسهنحن محظوظين لنبدأ مع واحدة من + +51 +00:04:05,070 --> 00:04:08,710 +أفضل صوتات مكتوبة بـ White، وهو Hoselist Hunt، تم + +52 +00:04:08,710 --> 00:04:12,390 +تحميلها بمثابة الـ Lime لـ White، مكتوبة ببتراك، + +53 +00:04:12,390 --> 00:04:15,430 +رسالة إيطالية من السنة الارابية، يسميها Hunt، حيث + +54 +00:04:15,430 --> 00:04:18,350 +يحضر حيوان عشان حيوان، وفي النهاية تمتلكه رويل + +55 +00:04:18,350 --> 00:04:23,170 +يملك المنطقة، وعندما رأيت الكلمات التي اختارت + +56 +00:04:23,170 --> 00:04:27,370 +المدرسة، أدركت أن الكلمات التي اختارتهاكانت أكتر + +57 +00:04:27,370 --> 00:04:30,590 +قصة عادية في مجتمعات معينة، على سبيل المثال، هذه + +58 +00:04:30,590 --> 00:04:33,330 +القصة التي كتبت في عصر الإلزابيثيين عندما كانت + +59 +00:04:33,330 --> 00:04:37,490 +الحب العسكري واحدة من أهم أهمية.الحب العسكري يمكن + +60 +00:04:37,490 --> 00:04:41,510 +أن يكون مدفن كحب غير ناجح يوجد بين اتنين جانحات + +61 +00:04:41,510 --> 00:04:45,370 +غير متساوية، الحب من شخص ليس من مجلس عالي، لكن من + +62 +00:04:45,370 --> 00:04:50,610 +شخص عالي.وهي مستحيلة أن أذكر أن الانتقال أسهل في + +63 +00:04:50,610 --> 00:04:55,790 +إصلاح شعوره الشخصي وشعوره الشخصي يتساوي مع الشعور + +64 +00:04:55,790 --> 00:05:00,050 +الشخصي، إنه وصل إلى قلوبنا، وهو ما يجعلها واحدة + +65 +00:05:00,050 --> 00:05:03,770 +حقيقية. القصيدة أفتتح بطريقة أفتتحة للمساعدين + +66 +00:05:03,770 --> 00:05:08,690 +الذين يريدون أن يأخذوا مخطط مخطط مخطط مخططالتي + +67 +00:05:08,690 --> 00:05:13,630 +كانت السيدة السعيدة تصبح مصطلح الوالد وحدي، وقد + +68 +00:05:13,630 --> 00:05:17,330 +أقدم الصونة، وهي شكلتان مصطلحين مختلفين مصطلحين + +69 +00:05:17,330 --> 00:05:20,130 +مصطلحين مختلفين مصطلحين مصطلحين مصطلحين مصطلحين + +70 +00:05:20,130 --> 00:05:20,450 +مصطلحين مصطلحين مصطلحين مصطلحين مصطلحين مصطلحين + +71 +00:05:20,450 --> 00:05:21,670 +مصطلحين مصطلحين مصطلحين مصطلحين مصطلحين مصطلحين + +72 +00:05:21,670 --> 00:05:24,030 +مصطلحين مصطلحين مصطلحين مصطلحين مصطلحين مصطلحين + +73 +00:05:34,560 --> 00:05:38,640 +مع ذلك، أنا احبت استخدام الشخصية اللي يستخدمها + +74 +00:05:38,640 --> 00:05:41,820 +الرسالة في قصته، على سبيل المثال استخدام الانتقال + +75 +00:05:41,820 --> 00:05:45,320 +في الأول، الثالثة والخمسة رقمين اللي يضيفون صوت + +76 +00:05:45,320 --> 00:05:51,260 +موسيقى للقصة متفارز أيضًا استخدمتها، وهي شخصية + +77 +00:05:51,260 --> 00:05:57,280 +أساسية للحكومة عندما يقارن بين مدرسة لعينة في + +78 +00:05:57,280 --> 00:06:01,860 +الرقم الأول وعندما يقارن بين مهمة الحصول هنا إلى + +79 +00:06:01,860 --> 00:06:03,260 +مهمة الحصول على عينة + +80 +00:06:05,900 --> 00:06:10,120 +جهة أخرى موجودة في القصة هي الـ Paradox، وهي واضحة + +81 +00:06:10,120 --> 00:06:15,400 +في نهاية القصة، هنا Pilen أعلن أنه بالرغم من أنها + +82 +00:06:15,400 --> 00:06:16,180 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +83 +00:06:16,180 --> 00:06:16,940 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +84 +00:06:16,940 --> 00:06:22,850 +عبارة عن عبارة عن عبارة عنتحدث عن الرمز في الـ + +85 +00:06:22,850 --> 00:06:27,210 +Who's restaurant لماذا يستخدم بيتامتر IMFEC في + +86 +00:06:27,210 --> 00:06:30,990 +الواقع لديه خمس مجموعات من كلمات غير مضغوطة و غير + +87 +00:06:30,990 --> 00:06:35,810 +مضغوطة للإنتهاء أود أن أقسم أن دباوه مذهل ودباوه + +88 +00:06:35,810 --> 00:06:41,590 +نجح في تصريح صعوبته وصراه يتحدث عن أحد أهم أهم + +89 +00:06:41,590 --> 00:06:44,650 +مواضع في عمره وهو courtly love أخيرًا وليس + +90 +00:06:44,650 --> 00:06:49,030 +الأخيرًا أود أن أقول إنه نجح في إخلاءها بشكل ممتاز + +91 +00:06:49,030 --> 00:06:56,150 +حسنًا أعتقد أنها قادرةبارحلة كبيرة، شكرا جزيلا، + +92 +00:06:56,150 --> 00:07:06,130 +هذه اجتماعات صحيحة و مستقبلية جميلة، + +93 +00:07:06,130 --> 00:07:09,490 +كان هناك الكثير من الاتصالات التي كانت تقدمت مثل + +94 +00:07:09,490 --> 00:07:15,070 +كلمة courtly love، قرآة، قرأة، قصة، عمرSo this is + +95 +00:07:15,070 --> 00:07:18,310 +what we are going to do today but again like as a + +96 +00:07:18,310 --> 00:07:20,850 +point of entry I would like to go through your + +97 +00:07:20,850 --> 00:07:23,570 +response whether you liked the poem or you didn't + +98 +00:07:23,570 --> 00:07:26,730 +like the poem Those who liked the poem should say + +99 +00:07:26,730 --> 00:07:29,950 +why, those who didn't like again they should + +100 +00:07:29,950 --> 00:07:32,410 +justify why they didn't like it + +101 +00:07:51,270 --> 00:07:56,370 +Okay again courtly + +102 +00:07:56,370 --> 00:08:00,230 +love is you know an issue which we have to explain + +103 +00:08:00,230 --> 00:08:04,950 +you know but were you happy with the poet like you + +104 +00:08:04,950 --> 00:08:08,170 +think he's a good poet did you admire the poet did + +105 +00:08:08,170 --> 00:08:15,410 +you okay he's a nice gentleman like okay the poet + +106 +00:08:15,410 --> 00:08:20,360 +I think in the poemهل تعرف ماهي الموضوع؟ ماهي + +107 +00:08:20,360 --> 00:08:24,540 +الموضوع؟ حسنا، + +108 +00:08:24,540 --> 00:08:32,840 +هل هو موضوع مثلًا، رحل رجل؟ لا، لماذا؟ الواضح أنه + +109 +00:08:32,840 --> 00:08:37,160 +منذ البداية، من المفترض أنه يرحل، أنا أعرف أين هو + +110 +00:08:37,160 --> 00:08:43,900 +رحل، لذلك، ألا تعتقد أن هذا موقف رحل؟ ألا تعتقد + +111 +00:08:43,900 --> 00:08:48,750 +أنه سيحط شيء أو يرحل؟but when we read it after + +112 +00:08:48,750 --> 00:08:50,970 +adaptor we discover that he talking about his + +113 +00:08:50,970 --> 00:08:55,470 +mistress okay so like this is not like about + +114 +00:08:55,470 --> 00:08:59,890 +hunting but rather you know it's about something + +115 +00:08:59,890 --> 00:09:02,930 +else it's about a relationship between you know a + +116 +00:09:02,930 --> 00:09:08,450 +man and a woman in this sense like this kind of + +117 +00:09:08,450 --> 00:09:12,490 +poetry or literature we call it what? allegorical + +118 +00:09:12,490 --> 00:09:15,190 +okay thank you very much it is allegorical + +119 +00:09:16,150 --> 00:09:23,270 +الاليجوري يعني أن تتكلم عن شيء في كلمات أو شيء أخر + +120 +00:09:23,270 --> 00:09:32,090 +هذا ما نسميه الاليجوري حسنا جيد + +121 +00:09:32,090 --> 00:09:35,270 +دعونا + +122 +00:09:35,270 --> 00:09:41,890 +نشوف أشخاص أخرين لكن مرة أخرى يمكننا أن نقول + +123 +00:09:52,620 --> 00:10:06,500 +Okay you like the + +124 +00:10:06,500 --> 00:10:15,720 +power okay okay + +125 +00:10:17,010 --> 00:10:22,090 +لنرى، ماذا عن القصيدة؟ هل قرأت شيء عن القصيدة؟ انت + +126 +00:10:22,090 --> 00:10:28,170 +ذكرت الصناعة، ماهي صناعة؟ ماهي صناعة؟ نعم صناعة + +127 +00:10:28,170 --> 00:10:36,370 +تتجمد من 14 قطع نعم، فهي قصيدة تتجمد من 14 قطع + +128 +00:10:36,370 --> 00:10:40,390 +تتجمد من 14 قطع تتجمد من 14 قطع تتجمد من 14 قطع + +129 +00:10:40,390 --> 00:10:40,570 +تتجمد من 14 قطع تتجمد من 14 قطع تتجمد من 14 قطع + +130 +00:10:40,570 --> 00:10:44,310 +تتجمد من 14 + +131 +00:10:44,310 --> 00:10:48,960 +قطع تتجمد من 14 قlike was he the one who created + +132 +00:10:48,960 --> 00:10:55,300 +the sonic no was he yes he + +133 +00:10:55,300 --> 00:10:57,800 +bring it from Rome because yeah he brought it from + +134 +00:10:57,800 --> 00:11:04,460 +Rome very good he brought that phone from from + +135 +00:11:04,460 --> 00:11:11,060 +Petrarch Petrarch was a famous Italian poet and + +136 +00:11:11,060 --> 00:11:14,620 +you know Sir Thomas Foyer had the chance because + +137 +00:11:14,620 --> 00:11:22,280 +he was an ambassadorكان مجلسًا يعيش في أسلحة الـ + +138 +00:11:22,280 --> 00:11:28,940 +Hebrew Days كان لديه فرصة .. كان لديه فرصة ليرحل + +139 +00:11:28,940 --> 00:11:34,700 +إلى روم وقام بترجمة .. قابلت Petrarch وقام بترجمة + +140 +00:11:34,700 --> 00:11:44,980 +بعض قصته وبدأ يستخدم هذه الطريقة أو هذه الشكلةعن + +141 +00:11:44,980 --> 00:11:50,280 +طريق استخدام موضوع إنقليزي تقليدي جدًا وهو courtly + +142 +00:11:50,280 --> 00:11:55,540 +love مرة أخرى courtly love هو كلمة تحتاج إلى تصفية + +143 +00:11:55,540 --> 00:12:02,520 +محددة ما هو courtly love؟ لأنني أريدك أن تفهمين أن + +144 +00:12:02,520 --> 00:12:09,580 +هذا مثل موضوع مفهوم عالم الوقت وكان عالم الوقت + +145 +00:12:09,580 --> 00:12:16,720 +قليلاً عالم الإنسانيةعرفت ان courtly love كانت نوع + +146 +00:12:16,720 --> 00:12:25,520 +من الكتابة التي كانت كتابة من كارتيوز فماذا + +147 +00:12:25,520 --> 00:12:32,160 +يعني courtly love؟ اعتقد انه بلغة الإنقليزية + +148 +00:12:32,160 --> 00:12:37,300 +التقليدية مع الرجل اللي كان يشوف الرجل اللي كان + +149 +00:12:37,300 --> 00:12:40,740 +يحبه معها وكان يضع نفسه في غرفة + +150 +00:12:43,750 --> 00:12:51,090 +إذا اقبلت أبناء أبنائه يكتبون + +151 +00:12:51,090 --> 00:13:01,590 +أفضل كلمة لتعامل مع أبنائه وإذا اقبلته يكتبون أفضل + +152 +00:13:01,590 --> 00:13:06,870 +كلمة لتعامل مع أبنائه هذا هو الموضوع ، إنه موضوع + +153 +00:13:06,870 --> 00:13:10,110 +مصطلح قديم جدًا ، موضوع انجليزي قديم جدًا + +154 +00:13:14,460 --> 00:13:20,400 +كانت مثلًا Chaucer من السنة الفارعية، هل سمعت من + +155 +00:13:20,400 --> 00:13:25,120 +Chaucer؟ Chaucer كان أبقى في الكتابة الإنجليزية، + +156 +00:13:25,120 --> 00:13:30,500 +كان يكتب قرطليل أف وقبله وكان قرطليل أف مفروض من + +157 +00:13:30,500 --> 00:13:33,780 +الكتابات الترابودوريين اللي كانوا يعيشون في فرنسا + +158 +00:13:33,780 --> 00:13:38,220 +ومن هم اللي كانوا مفروضون من الكتابة العربية لأن + +159 +00:13:38,220 --> 00:13:43,170 +في الكتابة العربية لديناالقصة اللي كانت تتكلم عن + +160 +00:13:43,170 --> 00:13:48,690 +الحب كما تعلمين بصراحة مثلا قيم الوقت في السادسة + +161 +00:13:48,690 --> 00:13:53,450 +عامة كانت هناك اثنين اثنين اثنين اثنين اثنين اثنين + +162 +00:13:53,450 --> 00:13:53,630 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +163 +00:13:53,630 --> 00:13:54,030 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +164 +00:13:54,030 --> 00:13:54,870 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +165 +00:13:54,870 --> 00:13:54,930 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +166 +00:13:54,930 --> 00:14:09,970 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +167 +00:14:10,720 --> 00:14:18,160 +إذا كان أي شخص يريد أن يثبت أنه رجل يجب أن يظهر + +168 +00:14:18,160 --> 00:14:24,900 +قدرته في كتابة هذا النوع من الكتابة وللأسف هذا + +169 +00:14:24,900 --> 00:14:30,120 +النوع من الكتابة تدفع إلى المرأة أنا أقصد أن شخص + +170 +00:14:30,120 --> 00:14:36,500 +يريد أن يثبت نوبته وصالحته في تجارب تغيير صورة + +171 +00:14:36,500 --> 00:14:42,690 +المرأةوهذا شيء مخيف، أنا لست متأكد إن بعضكم كانت + +172 +00:14:42,690 --> 00:14:49,290 +مخيفة لأن بعضكم ذكروا أن الرسول كان عظيم، الرسول + +173 +00:14:49,290 --> 00:14:56,950 +كان جيد، ترى؟ كانوا بعضكم مخيفين من الرسول، جيد، + +174 +00:14:56,950 --> 00:15:00,610 +فنحن + +175 +00:15:00,610 --> 00:15:06,160 +نتعامل معالصندوق التقليدي التقليدي مكتوب في كلمة + +176 +00:15:06,160 --> 00:15:13,520 +الهيئة وهي الصندق وفي + +177 +00:15:13,520 --> 00:15:19,520 +تجاربك قلت صندق بتراركا ماذا هو صندق بتراركا؟ كم + +178 +00:15:19,520 --> 00:15:27,620 +جزء في صندق بتراركا؟ هناك اثنين جزء اكتل + +179 +00:15:28,970 --> 00:15:33,670 +والسيستيت الأكتير والسيستيت يجب أن أكتر لك مثل هذه + +180 +00:15:33,670 --> 00:15:41,770 +الأشياء؟ لذلك + +181 +00:15:41,770 --> 00:15:51,650 +مرة أخرى مهم جدًا أن تلاحظ ماذا يحدث ماذا + +182 +00:15:51,650 --> 00:15:53,950 +يحدث في كل جزء من الصوت + +183 +00:15:59,630 --> 00:16:03,810 +what is happening in octave what is happening in + +184 +00:16:03,810 --> 00:16:24,410 +you know the system octave + +185 +00:16:24,410 --> 00:16:28,770 +and + +186 +00:16:28,770 --> 00:16:37,210 +systemلذلك في الـ Octave لدينا 8 خطوات و للسيستات + +187 +00:16:37,210 --> 00:16:42,750 +لدينا 6 خطوات وهي + +188 +00:16:42,750 --> 00:16:51,850 +تذكرت أن القرآن الكتروني كان مختلفاً قليلاً لرمزه + +189 +00:16:51,850 --> 00:16:58,370 +عندما نتكلم عن رمزه يجب أن ننظر إلى القرآن بهذه + +190 +00:16:58,370 --> 00:16:58,550 +الطريقة + +191 +00:17:01,900 --> 00:17:08,880 +We have to look at the you know the last line and + +192 +00:17:08,880 --> 00:17:15,000 +so we should start with a more + +193 +00:17:15,000 --> 00:17:19,720 +it's a new rhyme you see it should be it shouldn't + +194 +00:17:19,720 --> 00:17:26,640 +be a if no and you know let's take the poem like + +195 +00:17:26,640 --> 00:17:27,960 +this sorry + +196 +00:17:31,020 --> 00:17:36,540 +لأنني أريدك أن تعرفين كيف يتم اختيار دراجة لا + +197 +00:17:36,540 --> 00:17:49,840 +مشكلة + +198 +00:17:49,840 --> 00:17:58,480 +اوه + +199 +00:17:58,480 --> 00:17:59,960 +حسنا ففشلنا + +200 +00:18:04,580 --> 00:18:08,440 +Okay, so if we are talking about .. we can do it + +201 +00:18:08,440 --> 00:18:19,560 +in this way Okay, + +202 +00:18:19,700 --> 00:18:25,880 +I'm is the first sound So if we go, it should be + +203 +00:18:25,880 --> 00:18:31,720 +given a sign A moreit is another one so it should + +204 +00:18:31,720 --> 00:18:38,460 +be b then we have sore which is exactly the same + +205 +00:18:38,460 --> 00:18:49,820 +so we have a b b and then a okay so we have a b b + +206 +00:18:49,820 --> 00:18:58,750 +a then what a you knowDBA So this is what we call + +207 +00:18:58,750 --> 00:19:07,430 +the octave And now the system should be assigned + +208 +00:19:07,430 --> 00:19:12,790 +So we have one, two, three, four, five, six, + +209 +00:19:12,990 --> 00:19:18,210 +seven, eight And now we have doubt It should be + +210 +00:19:18,210 --> 00:19:22,910 +what? C D D + +211 +00:19:25,380 --> 00:19:30,080 +C دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +212 +00:19:30,080 --> 00:19:31,100 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +213 +00:19:31,100 --> 00:19:32,280 +دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي دي + +214 +00:19:32,280 --> 00:19:53,580 +دي دي دي دي دي دي دي دي دي دي د + +215 +00:19:53,960 --> 00:20:01,380 +إنها اعتقاد إنجليزي صحيح اعتقاد + +216 +00:20:01,380 --> 00:20:07,440 +اعتقاد الوطنية هذه الأشياء التي قد نتكلم عنها + +217 +00:20:07,440 --> 00:20:12,780 +عندما نتكلم عن القصة لا أريد أن أذهب بعيدًا دعنا + +218 +00:20:12,780 --> 00:20:18,200 +نعود إلى القصة هل قمت بتقريرها بصوت كام؟ + +219 +00:20:18,200 --> 00:20:19,200 +كيف صوتها؟ + +220 +00:20:31,120 --> 00:20:39,440 +فتبدأت تشعر بالرسالة؟ نعم فتبدأت + +221 +00:20:39,440 --> 00:20:40,040 +تشعر بالرسالة؟ نعم فتبدأت تشعر بالرسالة؟ نعم + +222 +00:20:40,040 --> 00:20:40,480 +فتبدأت تشعر بالرسالة؟ نعم فتبدأت تشعر بالرسالة؟ + +223 +00:20:40,480 --> 00:20:42,240 +نعم فتبدأت تشعر بالرسالة؟ نعم فتبدأت تشعر + +224 +00:20:42,240 --> 00:20:47,600 +بالرسالة؟ نعم فتبدأت تشعر بالرسالة؟ نعم فتبدأت + +225 +00:20:47,600 --> 00:20:49,680 +تشعر بالرسالة؟ نعم فتبدأت تشعر بالرسالة؟ نعم + +226 +00:20:49,680 --> 00:20:51,780 +فتبدأت تشعر بالرسالة؟ نعم فتبدأت تشعر بالرسالة؟ + +227 +00:20:51,780 --> 00:20:57,240 +نعم فتبدأت تشعر بالرسالة؟ نعم فتبدor like .. we + +228 +00:20:57,240 --> 00:21:01,320 +heard it اه اه so it is available on youtube good + +229 +00:21:01,320 --> 00:21:05,900 +and which one did you like the singing the two + +230 +00:21:05,900 --> 00:21:11,320 +lines the both okay both okay + +231 +00:21:11,320 --> 00:21:17,080 +one singing and another not singing just he read + +232 +00:21:17,080 --> 00:21:22,560 +it he read it okay so let me read it aloud for you + +233 +00:21:23,730 --> 00:21:27,790 +Who's a lost hunt? I know where is a nine. But as + +234 +00:21:27,790 --> 00:21:32,810 +for me, alas, I may know more. The vain travel + +235 +00:21:32,810 --> 00:21:36,670 +hath worried me so sore, among them that farthest + +236 +00:21:36,670 --> 00:21:40,930 +comes behind. It may I by no means my weird mind + +237 +00:21:40,930 --> 00:21:44,970 +draw from the deer. But as chief bee leaves a + +238 +00:21:44,970 --> 00:21:48,690 +four, fainting I follow, I leave of their four, + +239 +00:21:49,450 --> 00:21:53,790 +since in a net I seek to hold the wind.Who lost + +240 +00:21:53,790 --> 00:21:58,630 +her hunt, I put him out of doubt As well as I may + +241 +00:21:58,630 --> 00:22:01,670 +spend his time in vain And the graven with + +242 +00:22:01,670 --> 00:22:05,750 +diamonds and letters plain There's written her + +243 +00:22:05,750 --> 00:22:11,910 +fair neck round about No limit and jar for Caesar + +244 +00:22:11,910 --> 00:22:16,690 +I am And while for the cold though I seem tame + +245 +00:22:16,690 --> 00:22:25,380 +Very sad, huh? Who's sad?انت او الروحانة؟ الروحانة + +246 +00:22:25,380 --> 00:22:32,600 +الروحانة ولكنك لم تجعلها غاضبه انظرله انه بارد انه + +247 +00:22:32,600 --> 00:22:36,480 +غاضب انه غاضب انه غاضب انه غاضب انه غاضب انه غاضب + +248 +00:22:36,480 --> 00:22:39,280 +انه غاضب انه غاضب انه غاضب انه غاضب انه غاضب انه + +249 +00:22:39,280 --> 00:22:40,480 +غاضب انه غاضب انه غاضب انه غاضب انه غاضب انه غاضب + +250 +00:22:40,480 --> 00:22:42,220 +انه غاضب انه غاضب انه غاضب انه غاضب انه غاضب انه + +251 +00:22:42,220 --> 00:22:45,480 +انه غاضب انه غاضب انه غاضب انه غاضب انه غاضب انه + +252 +00:22:45,480 --> 00:22:53,340 +غاضب انه غاضب انه غاضب انه غالذي يسبب كل هذا + +253 +00:22:53,340 --> 00:23:00,900 +العزيز للرسالة؟ لماذا؟ لأنها ليست .. ليست مثلًا + +254 +00:23:00,900 --> 00:23:06,680 +مرحبًا، هي لا تفهمه، تعرفين، و هي يسبب .. أعتقد + +255 +00:23:06,680 --> 00:23:12,060 +أنك لا تحب هذا، بالطبع، و هذا كثير، لكن هذا ما حدث + +256 +00:23:12,060 --> 00:23:22,090 +في Cordula. لذلك، رجل أراد أن يتأكدكما تعلمين، + +257 +00:23:22,090 --> 00:23:27,630 +مجلده كيف؟ كيف يمكنك أن تظهر نفسك أنك رجل لطيف؟ + +258 +00:23:27,630 --> 00:23:34,970 +فقط بمعادلة نفسك مع + +259 +00:23:34,970 --> 00:23:39,950 +امرأة، فهنا، إذا كان علينا أن ننظر إلى الرجل و أن + +260 +00:23:39,950 --> 00:23:45,290 +نعطيه بعض التعاملات، سنجده ماذا؟ اعطيه بعض + +261 +00:23:45,290 --> 00:23:53,290 +التعاملات، هو لطيف؟ اذهبهو لطيف، اعتقد انه صادق، + +262 +00:23:53,290 --> 00:24:07,230 +عظيم، صادق، اعتقالي و اذا تنظر للفتاة، انها ماذا؟ + +263 +00:24:07,230 --> 00:24:12,710 +انها جميلة، + +264 +00:24:12,710 --> 00:24:14,090 +عرقدة + +265 +00:24:16,020 --> 00:24:21,100 +يجب أن تكون مسئولة لكل شخص مستغرب؟ مثل الفكل؟ كما + +266 +00:24:21,100 --> 00:24:30,840 +تعلم؟ ماذا أخر؟ مظلم؟ لماذا؟ لماذا هي مظلمة؟ لأنها + +267 +00:24:30,840 --> 00:24:36,280 +لا تتعامل مع اشعار الروحاني + +268 +00:24:40,600 --> 00:24:46,320 +أعتقد أنه إذا كنا نقرأها في قصة لعب ، لربما لا + +269 +00:24:46,320 --> 00:24:52,100 +نستمع إلى أستاتيكس للقصة. لذلك دعنا ننظر إلى + +270 +00:24:52,100 --> 00:24:58,180 +القصة، كما تعلمين لأنني قلت أن ثقافة الوقت، يجب أن + +271 +00:24:58,180 --> 00:25:05,120 +نفهم القصة في مجالها التقليدي والتاريخي. كانت + +272 +00:25:05,120 --> 00:25:10,950 +السنة السادسة عمر تطور، كان عمرأو حتى في إدارة + +273 +00:25:10,950 --> 00:25:17,050 +إدارة إدارتها. همري 8، اللي أخذ السلطة في عام 1519 + +274 +00:25:17,050 --> 00:25:27,270 +كان ملكاً قوياً جداً وكان يريد إدارة + +275 +00:25:27,270 --> 00:25:32,110 +فكرة بريطانيا العظيمة، لذا فإنه نجح في الحصول على + +276 +00:25:32,110 --> 00:25:37,310 +ويلز لأن ويلز لم يكنبعض من ال .. كما تعلمون .. + +277 +00:25:37,310 --> 00:25:41,650 +كبير .. كبير بريطانيا و حتى من قبل قطعة أيرلاند + +278 +00:25:41,650 --> 00:25:49,210 +لكي يكون لديه .. فهو أصبح ملك كبير بريطانيا و في + +279 +00:25:49,210 --> 00:25:56,330 +وقته إنجلاند كان مواجه لل .. كما تعلمون للترحيز و + +280 +00:25:56,330 --> 00:26:02,290 +عندما أقول ترحيز نحن نتكلم عن .. كما تعلمون .. + +281 +00:26:02,290 --> 00:26:07,820 +الترحيز .. العالم اللي قادمو بالطبع إيطاليا .. + +282 +00:26:07,820 --> 00:26:11,860 +اعني روم اللي كانت الـ Pop كانت .. كانت مركز الـ + +283 +00:26:11,860 --> 00:26:16,100 +Renaissance إنجلاند + +284 +00:26:16,100 --> 00:26:19,900 +كانت كذلك قوية، كانت تريد ان تتفرج، كما تعلمين، + +285 +00:26:19,900 --> 00:26:28,220 +الرجل كان لديه عظم و فليب، لذا كانت عمره مثلًا + +286 +00:26:28,220 --> 00:26:33,900 +مثلًا مثل الـ Knighthood كان عمره الهروزم لأنإذا + +287 +00:26:33,900 --> 00:26:36,600 +كنت ترغب في التنقل، إذا كنت ترغب في إدارة مدينة + +288 +00:26:36,600 --> 00:26:41,800 +جديدة، فتحتاج إلى هروس. فهذه كانت ثقافة الوقت. + +289 +00:26:42,440 --> 00:26:51,740 +وكما قلنا، الهروس في ذلك الوقت لم يكن مفهوم بدون + +290 +00:26:51,740 --> 00:26:58,220 +شيء مثل القانون.لذلك الحب القانوني كان مشكلتك، لا + +291 +00:26:58,220 --> 00:27:01,720 +يمكنك أن تثبت نفسك، لا يمكنك أن تكون قانوني، ولا + +292 +00:27:01,720 --> 00:27:10,140 +يمكنك أن تكون مفروض حتى تظهر أنك حبي قانوني، + +293 +00:27:10,140 --> 00:27:18,740 +بالطبع مثل هنري VIII كان رجل محترف، اتزوج له ست + +294 +00:27:18,740 --> 00:27:26,840 +مرات، كان هناك ست قوات،و أولا اتزوجت كثير من الناس + +295 +00:27:26,840 --> 00:27:35,940 +مثل كاترين اللى كانت عزيزة أخيها أرثر ثم اتزوجت مع + +296 +00:27:35,940 --> 00:27:40,480 +أن بولين مثل الناس اللى كان في حبه و أنا أعتقد أن + +297 +00:27:40,480 --> 00:27:46,160 +أن بولين موجودة في مدينة الانسان لكن كل هذه + +298 +00:27:46,160 --> 00:27:50,480 +المعادلات كانت عليها أن تكون اكتشف بإنسان الانسان + +299 +00:27:50,480 --> 00:27:57,070 +في إتالياالرئيس كان لديه رأس أعلى لذا إذا أراد أن + +300 +00:27:57,070 --> 00:28:02,530 +يتزوج أو يتغير أي شيء يجب أن يتحدث أو الرئيس في + +301 +00:28:02,530 --> 00:28:08,950 +روم يجب أن يعطيه اتفاق ولكن في وقته مثلًا لاحقًا + +302 +00:28:08,950 --> 00:28:15,310 +فإنه نجح في عام 19 .. في عام 1533 + +303 +00:28:15,310 --> 00:28:25,900 +لتفتح مع الكنتلجة الكتلية في روموبدأوا بإنشاء .. + +304 +00:28:25,900 --> 00:28:34,520 +أو بإدعاء الكندسة التي كانت بروتسانيا لديهم بعض + +305 +00:28:34,520 --> 00:28:41,080 +الاختلافات مع ذلك وانه نجح في إصلاح إدارة الإدارة + +306 +00:28:41,080 --> 00:28:45,340 +الإنجليزية لذلك مشكلة الإدارة كانت هناك في + +307 +00:28:45,340 --> 00:28:50,120 +الوزيارة .. أعني الوزيارة كانت في الوزيارة، كانت + +308 +00:28:50,120 --> 00:28:58,780 +في الوزيارةكان حتى على مستوى الاجتماعي حسنًا إذا + +309 +00:28:58,780 --> 00:29:03,540 +كنا نذهب إلى القصة لأنني لا أريد أن أخسر نفسي من + +310 +00:29:03,540 --> 00:29:07,900 +أستاتيكا للقصة ماذا يجب أن أقول؟ أنا أعرف ما هو + +311 +00:29:07,900 --> 00:29:20,980 +عينيه إنه سؤال يعلن أن .. أن الناس اللي مهتمة + +312 +00:29:22,270 --> 00:29:30,590 +في العثور على حيانة، حيانة، أستطيع أن أقولها، ولكن + +313 +00:29:30,590 --> 00:29:36,490 +بالنسبالي، على الأقل، ربما أعرفها أكتر، فأنت ترى + +314 +00:29:36,490 --> 00:29:44,070 +هنا، القصد غير مهتم، غير مهتم بالسحب، لماذا؟ لذلك + +315 +00:29:44,070 --> 00:29:52,310 +نسأل لماذا، ونتوقع أنفي الـ octave هو سيوضح السبب + +316 +00:29:52,310 --> 00:29:57,830 +لماذا هو غير مهتم بفرق القوة لماذا هو غير مهتم + +317 +00:29:57,830 --> 00:30:01,370 +بفرق القوة؟ + +318 +00:30:01,370 --> 00:30:05,610 +لأنه حاول الحصول و خسر كثير من الوقت لأنه حاول + +319 +00:30:05,610 --> 00:30:11,650 +حصول و خسر كثير من الوقت لأنه حاول حصول و خسر كثير + +320 +00:30:11,650 --> 00:30:11,950 +من الوقت لأنه حاول حصول و خسر كثير من الوقت لأنه + +321 +00:30:11,950 --> 00:30:15,270 +حاول حصول و خسر كثير من الوقت لأنه حاول حصول و خسر + +322 +00:30:15,270 --> 00:30:20,970 +كثير من الوقتbut as for me alas I may no more I'm + +323 +00:30:20,970 --> 00:30:25,630 +not going to do it again why in the third line + +324 +00:30:25,630 --> 00:30:31,450 +he's trying to say why he's trying to warrant his + +325 +00:30:31,450 --> 00:30:37,110 +decision to justify his decision he says the vain + +326 +00:30:37,110 --> 00:30:42,830 +travail which is a French word wearied me so sore + +327 +00:30:47,900 --> 00:30:52,260 +Exhaustingly مثلًا، الاختصارات، الـ Vein، ماذا + +328 +00:30:52,260 --> 00:30:58,400 +يعني Vein؟ في موقعٍ مهم جدًا لكي تفهم معنى + +329 +00:30:58,400 --> 00:31:02,900 +الكلمات، معنى القصة، معنى الكلمة. لذلك، في هذه + +330 +00:31:02,900 --> 00:31:09,220 +المرحلة، كما ترون، نحن نحفظ الكلمة، وحفظ الكلمة هي + +331 +00:31:09,220 --> 00:31:16,930 +فقط خطوة لتحسينها تمامًا أو تفهم الكلمة تمامًا.the + +332 +00:31:16,930 --> 00:31:22,730 +vain traveled had wearied me without benefit yeah + +333 +00:31:22,730 --> 00:31:27,810 +the vain the futile yes without benefit the vain + +334 +00:31:27,810 --> 00:31:34,870 +traveled had wearied me so sore like wearied + +335 +00:31:34,870 --> 00:31:41,390 +exhausted you but look at so sore so sore what do + +336 +00:31:41,390 --> 00:31:47,660 +you see in so soreهناك نوع من التعذيب مثل هذا + +337 +00:31:47,660 --> 00:31:56,240 +التعذيب كانت صعبة جدا الوضع كانت صعبة جدا شخص ما + +338 +00:31:56,240 --> 00:32:03,760 +كان يتكلم عن شيء مثل هذا كانت مؤلمة جدا أحدهم كان + +339 +00:32:03,760 --> 00:32:12,790 +أكتر منه قد رحل خلفه فهو لن يكون الأولفي الحصول، + +340 +00:32:12,790 --> 00:32:19,450 +ولكن أفضلًا، الـLost Yet may I by no means my + +341 +00:32:19,450 --> 00:32:23,450 +wearied mind draw from the deer؟ مجدداً، هو يسأل + +342 +00:32:23,450 --> 00:32:32,110 +في السؤال هل تعتقد أني أخسر بسبب لا وجود حلول؟ + +343 +00:32:32,110 --> 00:32:38,870 +But as he fleeth afore, fainting I follow, I leave + +344 +00:32:38,870 --> 00:32:44,450 +of therefore، لماذا هو يغادر؟I leave off therefore + +345 +00:32:44,450 --> 00:32:56,450 +لأنها كما ترى هنا هو يتبعها و هي تهرب هو يتبعها و + +346 +00:32:56,450 --> 00:33:07,110 +هي تهرب و لأن ذلك هو ماذا؟ اصبح مغضبا و قرر تركها + +347 +00:33:07,110 --> 00:33:12,440 +الآن في courtly loveفي القصة التقليدية الـ + +348 +00:33:12,440 --> 00:33:20,580 +Cortlandt «الرسول يبكي بسبب كرهية السيدة، ويستمر + +349 +00:33:20,580 --> 00:33:26,100 +في أن يكون مغضبًا، مخلوقًا، ولكنه لا يظهر أبداً + +350 +00:33:26,100 --> 00:33:31,200 +لأنه يكون مرحبًا هنا، انظر له، أنا أتركهم، لذلك، + +351 +00:33:31,200 --> 00:33:37,870 +يمكننا أن نعجب هذا، ونقول ما هو شخص مرحبًاوربما + +352 +00:33:37,870 --> 00:33:46,330 +هذا يعني شيء مميز عن الكتابة لسير تماثويت مثلًا، + +353 +00:33:46,330 --> 00:33:50,230 +أنا أقصد الحب السليماني كتابة لسير تماثويت لأنه لم + +354 +00:33:50,230 --> 00:33:55,870 +يكن مثل حبيب السليماني التقليدي بدون قيمة، هنا كما + +355 +00:33:55,870 --> 00:34:00,630 +ترى، هو يأخذ قرار، هو شخص مديني ومنذ أن السيدة + +356 +00:34:04,630 --> 00:34:14,630 +ولم يعرف حزبه ولم يقبل حزبه، فقرر أن يخرج من هنا، + +357 +00:34:14,630 --> 00:34:21,170 +فأنا أخرج من هنا لكن انظر إلى الـ Fainting I + +358 +00:34:21,170 --> 00:34:25,890 +Follow هنا لا أستطيع أن أترك القصة بدون التعليق + +359 +00:34:25,890 --> 00:34:35,350 +قليلا عن التعليق هنا Fainting I Followlike do you + +360 +00:34:35,350 --> 00:34:39,670 +think this is a very nice alliteration? Does it + +361 +00:34:39,670 --> 00:34:44,370 +fit with the atmosphere of somebody who is taking + +362 +00:34:44,370 --> 00:34:47,710 +a decision and this decision is taking you know + +363 +00:34:47,710 --> 00:34:50,150 +why because he's bored, he's not interested. + +364 +00:34:50,910 --> 00:34:55,490 +Fainting, I fall. The if sound here, the + +365 +00:34:55,490 --> 00:34:59,090 +repetition of the if sound shows what?his + +366 +00:34:59,090 --> 00:35:04,310 +suffering his disgust fainting I follow and I + +367 +00:35:04,310 --> 00:35:09,370 +leave of therefore look at you know these + +368 +00:35:09,370 --> 00:35:12,790 +consonants are very strong and again these + +369 +00:35:12,790 --> 00:35:16,130 +consonants have to do with his you know decision + +370 +00:35:16,130 --> 00:35:22,710 +to quit with his decision like to leave since in a + +371 +00:35:22,710 --> 00:35:28,990 +net I see to hold the money wowأعتقد أن هذا مفهوم + +372 +00:35:28,990 --> 00:35:34,630 +نفسي ما هي صورة مخيفة جدا، أليس كذلك؟ إذا كان شخص + +373 +00:35:34,630 --> 00:35:40,390 +ما يحاول أن يمسك الهواء في قطعة، كيف تفسر هذه + +374 +00:35:40,390 --> 00:35:47,990 +التجارب؟ إذا كان شخص ما يحاول أن يمسك؟ إنها مضمونة + +375 +00:35:47,990 --> 00:35:53,370 +من الوقت، مخيفة جدا، تجارب مخيفة جدا، مثل شخص ما + +376 +00:35:53,370 --> 00:35:58,840 +يحاول أن يمسك الهواء، ماذا؟في قطعة؟ لذا هم يعتقدون + +377 +00:35:58,840 --> 00:36:05,240 +أنه سيكون محطم؟ لا لأن في قطعة انا أحاول ان احافظ + +378 +00:36:05,240 --> 00:36:08,640 +على الفائز انه + +379 +00:36:08,640 --> 00:36:16,220 +مستحيل، من يحافظ على الفائز؟ انا اضعه خاطئًا، هذا + +380 +00:36:16,220 --> 00:36:23,640 +هو البداية للقصة الثانية من القصةهو زي راستهاند، I + +381 +00:36:23,640 --> 00:36:26,960 +put him out of a doubt. Like the poet is in a + +382 +00:36:26,960 --> 00:36:32,620 +position to advise other people. He's sagacious, + +383 +00:36:33,200 --> 00:36:38,360 +very wise. And he was made sagacious by his own + +384 +00:36:38,360 --> 00:36:42,960 +experience. As well as I may spend his time in + +385 +00:36:42,960 --> 00:36:49,980 +vain. So the poet's personal experience made him + +386 +00:36:51,100 --> 00:36:59,400 +مثلًا، في موقع لتدعي أشخاص أخرين فهو سيقضي وقته في + +387 +00:36:59,400 --> 00:37:04,580 +الـVein ويقوم بتحريره بديمونات وكتبات بطيئة هناك + +388 +00:37:04,580 --> 00:37:09,100 +مكتوبة Hair Fair Nick Roundabout أعتقد أن هذه + +389 +00:37:09,100 --> 00:37:13,200 +اللينة لديها إشارة عن الجمال لأنك تعلمين في + +390 +00:37:13,200 --> 00:37:16,720 +Cardinal Love، نعم كما ذكرت، السيدة يجب أن تكون + +391 +00:37:16,720 --> 00:37:18,140 +جميلة + +392 +00:37:20,530 --> 00:37:29,390 +هناك كتابة، ما هو كتابة؟ حول نولي ميتانجر، لا + +393 +00:37:29,390 --> 00:37:33,650 +تلمسني، تعرفين؟ هذا مثلًا في اللاتيني، نولي + +394 +00:37:33,650 --> 00:37:40,590 +ميتانجر لعيات سيزر ونحن نفهم من هو سيزر، من سيزر؟ + +395 +00:37:40,590 --> 00:37:48,230 +هنري، لذلك نحن نحصل على روحان يحبون روحانأو زوجة + +396 +00:37:48,230 --> 00:37:55,790 +ممكنة أو مادة ممكنة وهو مثلًا مخاطر جدًا ومخاطر + +397 +00:37:55,790 --> 00:38:04,150 +جدًا وربما قد رأيت أنه كان مجرمًا بسبب هذه العلاقة + +398 +00:38:04,150 --> 00:38:09,690 +المعتقدة كان هناك اعتقاد أنه كان في علاقة ولكن لم + +399 +00:38:09,690 --> 00:38:14,590 +يكن هناك اثارة حقيقية لهذه العلاقة لذلك كان مجرمًا + +400 +00:38:14,590 --> 00:38:20,140 +في مصر وكان مجرمًاوانبولين نفسها اللي اصبح زوجته + +401 +00:38:20,140 --> 00:38:26,640 +كانت محرمة من الراجل كانت محرمة من الراجل لماذا؟ + +402 +00:38:26,640 --> 00:38:33,820 +لأنها كانت محرمة من أدلترا وانتظر وانتظر وانتظر + +403 +00:38:33,820 --> 00:38:36,480 +وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر + +404 +00:38:36,480 --> 00:38:36,620 +وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر + +405 +00:38:36,620 --> 00:38:37,260 +وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر + +406 +00:38:37,260 --> 00:38:38,000 +وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر وانتظر + +407 +00:38:38,000 --> 00:38:45,580 +وانتظر وانتظر وانت + +408 +00:38:46,030 --> 00:38:50,890 +أو تفكير الطبيعة، الطبيعة المفهومة لذلك السيدة، + +409 +00:38:50,890 --> 00:38:56,230 +لذلك هي غير مستحيلة، هي مفهومة جدًا، وهو صعب + +410 +00:38:56,230 --> 00:39:04,110 +تجمعها. اليوم مثلًا، هذا ما أريد أن أقوله اليوم، + +411 +00:39:04,110 --> 00:39:09,710 +لم نقرأ القصة كما كنتم تعلمون ما قلناه في المعرفة + +412 +00:39:09,710 --> 00:39:14,480 +الأخيرة، لذلك تحدثنابعض المعلومات عن الهواء + +413 +00:39:14,480 --> 00:39:18,960 +والمجلد العام للقصة، وعند مرة أخرى، يجب أن نقرأ + +414 +00:39:18,960 --> 00:39:26,740 +أكتر في أستاتيكاتها، ونرى كيف كانت القصة مفهومة أو + +415 +00:39:26,740 --> 00:39:31,560 +لم تكن مفهومة. لذلك، ما يجب أن تفعله مرة أخرى، هو + +416 +00:39:31,560 --> 00:39:36,760 +أن تنظر إلى القصة، أن تنظر إلى الأشخاص التي تتحدث، + +417 +00:39:36,760 --> 00:39:44,540 +أن تنظر إلى تنظيمها، وإنصارها،سنتحدث عن الكتابة + +418 +00:39:44,540 --> 00:39:52,440 +باستخدام لغة مميزة ولغة عامة أتمنى أنك تستمتع + +419 +00:39:52,440 --> 00:39:56,840 +بالإستماع، إذا لم يكن كما يمكنك الانتقال، لكن هل + +420 +00:39:56,840 --> 00:40:00,180 +لديك أي سؤال مثل السابق؟ أو هل تريد أن تضيف أي + +421 +00:40:00,180 --> 00:40:05,010 +شيء؟ نعم، قلت أن السورية تحتوي على اتصالينالأولة + +422 +00:40:05,010 --> 00:40:08,510 +اللي كنت تتكلم عنها؟ لأ لأ كتابة بتراركيل نحن + +423 +00:40:08,510 --> 00:40:13,650 +نتكلم عن كتابة بتراركيل كتابة بتراركيل تتكون فقط + +424 +00:40:13,650 --> 00:40:20,330 +عن اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +425 +00:40:20,330 --> 00:40:21,270 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +426 +00:40:21,270 --> 00:40:21,410 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +427 +00:40:21,410 --> 00:40:22,170 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +428 +00:40:22,170 --> 00:40:27,290 +اثنين اثنين اثنين اثنين اثنين اثنين اثنين اثنين + +429 +00:40:27,290 --> 00:40:32,410 +اثنين + +430 +00:40:32,660 --> 00:40:35,720 +ماذا يعني شكسبيريا الصناعة؟ كيف تم تطور صناعة + +431 +00:40:35,720 --> 00:40:41,700 +شكسبيريا الصناعة؟ وكيف أصبحت أو كتبت كشخصية + +432 +00:40:41,700 --> 00:40:49,980 +بريطانية جدًا؟ هل يوجد أسئلة أخرى؟ شكرا جزيلا و + +433 +00:40:49,980 --> 00:40:56,880 +أراك المرة القادمة للقصة على نفس الوقت شكرا جزيلا + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/9Xvdf8tapHA_raw.json b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/9Xvdf8tapHA_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..657e7a9ad9e0c2f241b855fd1b58793248adef18 --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/9Xvdf8tapHA_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2846, "start": 0.0, "end": 28.46, "text": "Who are you today؟ Good Are you excited because it's the beginning of the week؟ Why؟ I know exams midterm exams but", "tokens": [10927, 366, 291, 965, 22807, 2205, 2014, 291, 2919, 570, 309, 311, 264, 2863, 295, 264, 1243, 22807, 1545, 22807, 286, 458, 20514, 2062, 7039, 20514, 457], "avg_logprob": -0.37555803997176035, "compression_ratio": 1.1683168316831682, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 0.0, "end": 0.82, 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The teacher continued his lecture by talking about Shakespeare's sonnet Shall I compare thee to a summer's day. He finished it and told us to write a short paragraph about the theme of the poem and it must be ready next time. 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ولكن القصة تنتهي في نقطة آمنة فهي موضوع مستمر، هي نفس الموضوع", "tokens": [45340, 9566, 3555, 9778, 8978, 25062, 9381, 3660, 3714, 9778, 33911, 35525, 19452, 25062, 9381, 3660, 6055, 29399, 3224, 1829, 8978, 8717, 47432, 3660, 19753, 27842, 3660, 6156, 3224, 1829, 3714, 2407, 11242, 45367, 3714, 14851, 29973, 12399, 39896, 8717, 36178, 9673, 2407, 11242, 45367], "avg_logprob": -0.6379076125829116, "compression_ratio": 1.4752475247524752, "no_speech_prob": 0.0, "words": [{"start": 729.7099999999999, "end": 730.81, "word": "المطبخ", "probability": 0.40765380859375}, {"start": 730.81, "end": 731.09, "word": " في", "probability": 0.37060546875}, {"start": 731.09, "end": 731.49, "word": " القصة", "probability": 0.6647135416666666}, {"start": 731.49, "end": 732.15, "word": " مخيف", "probability": 0.6749674479166666}, {"start": 732.15, "end": 733.71, "word": " ولكن", "probability": 0.60504150390625}, {"start": 733.71, "end": 734.51, "word": " القصة", "probability": 0.87890625}, {"start": 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أن يكون لديه موتية حياته؟ حسنًا، فهو موضوع مردي، لكن السؤال هو إن شاكسبير مردي نفسه", "tokens": [3224, 1211, 5551, 4587, 9640, 1863, 3224, 14739, 3224, 32767, 7251, 19452, 44650, 10721, 4117, 3215, 9154, 36632, 44049, 38207, 35525, 19452, 8978, 28239, 11296, 10632, 25961, 7251, 30544, 8978, 3714, 4587, 9640, 1863, 3660, 20449, 28242, 6156, 4117, 25720, 9673, 35473, 10632, 14739, 7251, 30544, 5296, 16254, 3224, 3714, 35473, 10632, 11331, 1829, 9307, 3224, 22807, 11331, 3794, 1863, 14111, 995, 12399, 6156, 3224, 2407, 3714, 2407, 11242, 45367, 3714, 2288, 16254, 12399, 44381, 21136, 33604, 6027, 31439, 36145, 13412, 995, 4117, 3794, 21292, 2288, 3714, 2288, 16254, 8717, 36178, 3224], "avg_logprob": -0.574260724488125, "compression_ratio": 1.7988505747126438, "no_speech_prob": 0.0, "words": [{"start": 755.64, "end": 755.92, "word": "هل", "probability": 0.4425048828125}, {"start": 755.92, "end": 756.7, "word": " أقارنه", "probability": 0.5552734375}, {"start": 756.7, "end": 757.5, "word": 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واحدة ماذا يعني؟ ماذا يعني؟ ماذا يعني؟ ماذا يعني؟ ماذا يعني؟ ماذا يعني؟ ماذا يعني؟ ماذا يعني؟", "tokens": [2304, 45636, 995, 20449, 29538, 21542, 25513, 22807, 16490, 2304, 3794, 3660, 11933, 1829, 4587, 45761, 9307, 34051, 9122, 33911, 4386, 11778, 3615, 8315, 8717, 2288, 7578, 36764, 24401, 3660, 9122, 33911, 20449, 29538, 21542, 25513, 7251, 3555, 4587, 7578, 25724, 2304, 6027, 7251, 5016, 31845, 19913, 15844, 11331, 31747, 3660, 22807, 36764, 24401, 3660, 3714, 45636, 995, 37495, 22653, 22807, 3714, 45636, 995, 37495, 22653, 22807, 3714, 45636, 995, 37495, 22653, 22807, 3714, 45636, 995, 37495, 22653, 22807, 3714, 45636, 995, 37495, 22653, 22807, 3714, 45636, 995, 37495, 22653, 22807, 3714, 45636, 995, 37495, 22653, 22807, 3714, 45636, 995, 37495, 22653, 22807], "avg_logprob": -0.5099158911750867, "compression_ratio": 2.562043795620438, "no_speech_prob": 0.0, "words": [{"start": 1442.18, "end": 1443.26, "word": "ماذا", "probability": 0.62255859375}, {"start": 1443.26, "end": 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love may still shine bright واو، لذا أعتقد أنك تعرفين كما ترى شاكسبير هو مؤمن جدا", "tokens": [10721, 2407, 36632, 7251, 3215, 12174, 2407, 10632, 7251, 14851, 9566, 40228, 14739, 6055, 35571, 1211, 12602, 10721, 3794, 5551, 28543, 10943, 3224, 34051, 10874, 1863, 11536, 3714, 5016, 9566, 2304, 9154, 25724, 2304, 6027, 7251, 14851, 9566, 40228, 14739, 7251, 5016, 2288, 2288, 3224, 34051, 20193, 11933, 15730, 32767, 7251, 19452, 23758, 25724, 5016, 32640, 5296, 16254, 3224, 12174, 2407, 3660, 35525, 19452, 8978, 2211, 11276, 452, 959, 815, 920, 12207, 4730, 36764, 2407, 12399, 5296, 15730, 5551, 34268, 28543, 14739, 4117, 37279, 28480, 9957, 9122, 15042, 6055, 2288, 7578, 13412, 995, 4117, 3794, 3555, 13546, 31439, 3714, 33604, 27842, 10874, 28259], "avg_logprob": -0.7325721119458859, "compression_ratio": 1.5726872246696035, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1671.53, "end": 1671.91, "word": "أو", "probability": 0.653564453125}, {"start": 1671.91, "end": 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Whose action is no stronger than a flower. So the beauty of his friend is like what? 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Spondee لماذا؟ Oh Rose مثل .. 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are supposed to continue shall I + +3 +00:00:24,280 --> 00:00:30,240 +compare day to a summer's dayلأول مرة أعتقدت أننا + +4 +00:00:30,240 --> 00:00:38,000 +كان لدينا فرصة لنسمع القصة مني لأقرأها ومن الناس + +5 +00:00:38,000 --> 00:00:44,040 +الأخرين الذين كانوا يغنوا أو حتى يقرأوها وكان لديك + +6 +00:00:44,040 --> 00:00:52,120 +وقت عظيم لتنظر إلى القصة ولترجح لذلك اليوم سنبدأ + +7 +00:00:52,120 --> 00:01:00,750 +بالإستماع إلى واحد أو اثنين من إجابتك ثمسأطلب منكم + +8 +00:01:00,750 --> 00:01:06,510 +بعض الأسئلة مرتبطة بالقصة ومرتبطة بمحتوىها ومحتوى + +9 +00:01:06,510 --> 00:01:15,670 +أستاتيكتها ومن ثم سأتحدث عن أشياء أستاتيكية نفسي، + +10 +00:01:15,670 --> 00:01:19,790 +حسنا؟ دعونا نرى، نعم أرجوك؟ + +11 +00:01:27,290 --> 00:01:31,970 +سأقوم بالمقارنة بها لـ A summer's day. سنة 18 هي + +12 +00:01:31,970 --> 00:01:34,350 +واحدة من السنات المعروفة أكتر في كلمة الإنجليزية. + +13 +00:01:35,370 --> 00:01:40,230 +إنها سنة شيكسبيرية عامة عامة عامة عامة عامة عامة + +14 +00:01:40,230 --> 00:01:41,370 +عامة عامة عامة عامة عامة عامة عامة عامة عامة عامة + +15 +00:01:41,370 --> 00:01:41,470 +عامة عامة عامة عامة عامة عامة عامة عامة عامة عامة + +16 +00:01:41,470 --> 00:01:41,710 +عامة عامة عامة عامة عامة عامة عامة عامة عامة عامة + +17 +00:01:41,710 --> 00:01:41,990 +عامة عامة عامة عامة عامة عامة عامة عامة عامة عامة + +18 +00:01:41,990 --> 00:01:53,810 +عامة عامة عامة عامة عامة عامة عامة عام + +19 +00:01:53,850 --> 00:01:56,110 +الأسئلة الهيبتقالية، بالطبع، لم يكن هناك إجابة + +20 +00:01:56,110 --> 00:01:59,330 +لأنه لم يكن هناك طريقة لكي تقارن صديقه مع يوم + +21 +00:01:59,330 --> 00:02:03,470 +الصيف، والذي في الواقع كان صديقه أكتر حلو ومحبب، + +22 +00:02:03,470 --> 00:02:06,830 +على الرغم من أن الصيف كانت أكتر محبوبة لسنة وشكسبي + +23 +00:02:06,830 --> 00:02:11,840 +رفض في نفس الوقت أن يقارنها مع صديقهعلى أخر حكاية، + +24 +00:02:11,840 --> 00:02:16,300 +فهو فقط اختار اليوم الصيفي، اللي هو جميل وطبيعي + +25 +00:02:16,300 --> 00:02:21,360 +للظهور أنه يكون الجمال فرنسا أكتر من الجمال في يوم + +26 +00:02:21,360 --> 00:02:24,240 +الصيف، يوم الصيف، تروسكسبيل في هذه الروايات وفي + +27 +00:02:24,240 --> 00:02:27,160 +الواحدة الأولى، خاصة الروايات الأولى، بدأت تلاقية + +28 +00:02:27,160 --> 00:02:33,380 +المشاكل التي كانت قد تحدث في يوم الصيفالشيخ سبيل + +29 +00:02:33,380 --> 00:02:38,420 +استخدمت المصادر الإلهية لتثبيت الموت، لكنه لم يأخذ + +30 +00:02:38,420 --> 00:02:41,760 +أصدقاءه، لأنه فقط إذا كان حياته مستمر، فأصدقاءه + +31 +00:02:41,760 --> 00:02:47,360 +سيكون محفوظ، محفوظ، تتحدث عن الموضوع، قد يكون عن + +32 +00:02:47,360 --> 00:02:52,180 +مصادر حبه من خلال المصادر الإلهية أو في صناعةه، + +33 +00:02:52,180 --> 00:02:55,440 +استخدام الكلام الفيقراطي يشهر بالطبع، المطافورة + +34 +00:02:55,440 --> 00:03:01,230 +يشبه الانتصاف والإطلاقأخيرًا أريد أن أتكلم عن سنة + +35 +00:03:01,230 --> 00:03:06,750 +شكسبيريا، إنها مصطلحة كقصة بقية 14 أساطين غير + +36 +00:03:06,750 --> 00:03:12,490 +كتابة بقية 8 أساطين و6 أساطين، شكرا جزيلا لك، هذا + +37 +00:03:12,490 --> 00:03:17,910 +أكتر من الإجابة الأولى، تعرفين أنها لديها القوة + +38 +00:03:17,910 --> 00:03:24,110 +لتذهب و تنظر إلى أجزاء أستاتيكية، حسنًا، هناك مكان + +39 +00:03:24,110 --> 00:03:28,390 +لإجابة أخرى، نعم بفضل الله، هل هذه المرة الأولى؟ + +40 +00:03:29,770 --> 00:03:30,870 +Okay you come here + +41 +00:03:40,300 --> 00:03:42,760 +shall I compare thee is a poem wrote by + +42 +00:03:42,760 --> 00:03:45,420 +Shakespeare the great Elizabethan writer and actor + +43 +00:03:45,420 --> 00:03:48,940 +and play writer and he wrote a sonnet wow + +44 +00:03:48,940 --> 00:03:51,500 +Shakespeare has great number of plays and great + +45 +00:03:51,500 --> 00:03:54,740 +drama and great number of sonnets anybody can + +46 +00:03:54,740 --> 00:03:59,080 +easily know who is Shakespeare Shakespeare in his + +47 +00:03:59,080 --> 00:04:01,600 +sonnet make like a nice gift to his friends to + +48 +00:04:01,600 --> 00:04:05,630 +express his loyalty and how he is care about herHe + +49 +00:04:05,630 --> 00:04:09,450 +introduced his poem by ask her question which hold + +50 +00:04:09,450 --> 00:04:12,970 +lovely and romantic meaning. The poem is full of + +51 +00:04:12,970 --> 00:04:16,250 +musical tunes. Summer in England is beautiful and + +52 +00:04:16,250 --> 00:04:19,290 +full of nice roses and blossom trees and sunshine + +53 +00:04:19,290 --> 00:04:24,170 +and great nice smell from the nature.أسئلة قبلها + +54 +00:04:24,170 --> 00:04:26,770 +قبلها قبلها قبلها قبلها قبلها قبلها قبلها قبلها + +55 +00:04:26,770 --> 00:04:31,650 +قبلها قبلها + +56 +00:04:47,870 --> 00:04:53,350 +الـ tone of the poem reflect his happiness of the + +57 +00:04:53,350 --> 00:04:57,030 +beauty and shyness of the summer days. Also the + +58 +00:04:57,030 --> 00:05:00,330 +boy tries to immortalize the beauty of his friend + +59 +00:05:00,330 --> 00:05:04,850 +but he cannot because life is mortal and we all + +60 +00:05:04,850 --> 00:05:08,880 +will die. So he decided to immortalize herأحسن + +61 +00:05:08,880 --> 00:05:14,100 +حبها من خلال قصته بين الأجيال بالإضافة أنه يستخدم + +62 +00:05:14,100 --> 00:05:17,560 +الكثير من الفيجور للحكومة لإدارة حبه في الصيف + +63 +00:05:17,560 --> 00:05:22,160 +أعتقد أن صديقه يستحق هذه القصة الجميلة انها واضحة + +64 +00:05:22,160 --> 00:05:25,900 +من حبه فيها وانه يستمتع في المشاركة معها في الأيام + +65 +00:05:25,900 --> 00:05:33,080 +الجميلة في الصيف حسنًا، فأعتقد أن لدينا قصة جادة + +66 +00:05:33,080 --> 00:05:39,910 +جدًا لصديقها وهو يحاول أن يفعل شيءلصديقه، اقول له + +67 +00:05:39,910 --> 00:05:48,630 +لصديقه، لان هذا الصناعة اتصل به صديقه وليام هارفي، + +68 +00:05:48,630 --> 00:05:54,680 +اللي كان محبًا لرسالة إليزابيثأنا أعني أن هناك + +69 +00:05:54,680 --> 00:05:58,620 +الكثير من الحلقات عن من هو WH لكن أكتر من + +70 +00:05:58,620 --> 00:06:03,580 +الانتقالات تقبل أنه William Harvey صديق قريب + +71 +00:06:03,580 --> 00:06:14,640 +لشكسفير وكان يوضح هذه القصة إليه الآن أنا فقط ك .. + +72 +00:06:14,640 --> 00:06:20,430 +أعرف أنه ليس مثل الوضع لكن جيد للنظرإذا كنت ترغب + +73 +00:06:20,430 --> 00:06:25,130 +في إصلاحها، يمكنك فعلها. الآن شكسبير في البداية + +74 +00:06:25,130 --> 00:06:31,710 +لهذه القصة يسأل السؤال هل أقارنه إلى أسمرزاي؟ هل + +75 +00:06:31,710 --> 00:06:40,470 +تعتقد أنه يقارن؟ إنها سؤال، لكن هل شكسبير سيقارن؟ + +76 +00:06:40,470 --> 00:06:49,700 +لماذا؟وهو يسأل السؤال وكلنا نعتقد أنه يقارن، هل هو + +77 +00:06:49,700 --> 00:06:56,740 +يقارن؟ لكن هو أكثر ماذا؟ مقارن، لا هو لا يظهر + +78 +00:06:56,740 --> 00:07:01,640 +مشابهتين لكن هو يظهر اختلافات، الآن السؤال هو ما + +79 +00:07:01,640 --> 00:07:09,850 +هي السبب، نعم هل شاكس بي رهاب لما لامقارنة لماذا + +80 +00:07:09,850 --> 00:07:13,890 +يعرف انه يتخلص من المقارنة انت تعرف ماذا يعني + +81 +00:07:13,890 --> 00:07:17,590 +تتخلص من المقارنة؟ فقط ترفض لماذا يتخلص من + +82 +00:07:17,590 --> 00:07:23,550 +المقارنة بجمال صديقه لجمال سماء؟ يمكنك فقط تخلص + +83 +00:07:23,550 --> 00:07:30,130 +منه مقارنة، شكرا أولا، أعتقد أنها جيدة نعم يمكنك + +84 +00:07:30,130 --> 00:07:35,350 +تخلص منه مقارنة صغيرة لماذا يفضل + +85 +00:07:37,530 --> 00:07:45,830 +أنا لا أحب أن أقارن لماذا + +86 +00:07:45,830 --> 00:07:51,950 +تفكر؟ انت + +87 +00:07:51,950 --> 00:08:07,010 +فقط اصنع قائمة و سترين نفسك نعم؟ + +88 +00:08:11,720 --> 00:08:17,000 +بسبب أن شيكسكي يعتقد أن جمال الشمس فرجال ويمكنه أن + +89 +00:08:17,000 --> 00:08:23,060 +يتحرك بسرعة و كأنه محطم من الشمس فهو ليس محطم من + +90 +00:08:23,060 --> 00:08:29,520 +الصحراء + +91 +00:08:32,310 --> 00:08:36,270 +So what he wants like to say that summers like the + +92 +00:08:36,270 --> 00:08:40,350 +beauty of summer is evanescent is short-lived + +93 +00:08:40,350 --> 00:08:44,430 +short-lived it is brief it is temporal so the + +94 +00:08:44,430 --> 00:08:51,990 +beauty of summer is short-lived short + +95 +00:08:51,990 --> 00:08:56,190 +-lived very evanescent + +96 +00:09:01,500 --> 00:09:08,460 +فارغ جدًا، فارغ جدًا، فارغ + +97 +00:09:08,460 --> 00:09:09,820 +جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، + +98 +00:09:09,820 --> 00:09:11,100 +فارغ جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، فارغ + +99 +00:09:11,100 --> 00:09:11,600 +جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، + +100 +00:09:11,600 --> 00:09:11,640 +فارغ جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، فارغ + +101 +00:09:11,640 --> 00:09:18,660 +جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، فارغ جدًا، + +102 +00:09:18,660 --> 00:09:25,000 +فارغ جدًا، فارغ جدًا، + +103 +00:09:25,000 --> 00:09:29,220 +فارغ جدًا، + +104 +00:09:29,680 --> 00:09:33,540 +لذلك عندما نتكلم عن الصيف، يمكن أن يتغير، إنه + +105 +00:09:33,540 --> 00:09:43,940 +يتطور، أنا أحب كلمة تطور أحيانًا + +106 +00:09:43,940 --> 00:09:50,020 +إنه حار، و أحيانًا عارف، لذلك ليس مستقلًا، ماذا + +107 +00:09:50,020 --> 00:09:59,700 +أخرى؟ الهواء، مالخطأ بالهواء؟ليس مرسفل، الوينز + +108 +00:09:59,700 --> 00:10:07,720 +مرعبين نعم، انظروا لهذه الصورة كما تعلمون، الوينز + +109 +00:10:07,720 --> 00:10:13,940 +الصعبين يحرقون بطولة ماي الصغيرة الوينز الصعبين + +110 +00:10:13,940 --> 00:10:19,960 +هنا الوينز + +111 +00:10:19,960 --> 00:10:29,260 +الصعبين يحرقون بطولة ماي الصغيرة هي صورة حرارةهي + +112 +00:10:29,260 --> 00:10:37,860 +صورة من الموت و هي كبيرة لأن الـ Bods .. بالطبع + +113 +00:10:37,860 --> 00:10:44,720 +هذا .. أعرف أنه .. يبدو كإرثية شخصية لكن صورة كلها + +114 +00:10:44,720 --> 00:10:50,220 +ميطانومية من الموت تسحب حياته الناس في وقت + +115 +00:10:50,220 --> 00:10:56,220 +الزميثام كانوا مهتمين بالفكرة من الموت فهنا، نعم + +116 +00:10:56,220 --> 00:11:06,150 +الصيفis what is cruel is cruel is ruthless + +117 +00:11:06,150 --> 00:11:11,910 +ruthless means very cruel cruel + +118 +00:11:11,910 --> 00:11:15,430 +means + +119 +00:11:15,430 --> 00:11:18,270 +ruthless + +120 +00:11:31,940 --> 00:11:36,740 +ماذا بعد ذلك؟ هل لديك أشياء أخرى؟ لماذا لا يحب أن + +121 +00:11:36,740 --> 00:11:41,580 +يقارن؟ نعم، بالفضل. نعم، الجمال .. جمال الشمس + +122 +00:11:41,580 --> 00:11:45,860 +بجمال الشمس ليس مستمر، لأنه سيكون مقفل ومقفل من + +123 +00:11:45,860 --> 00:11:51,520 +الظلام. لذلك، الشمس كما هي جزء من جمال الشمس ليس + +124 +00:11:51,520 --> 00:11:57,480 +مستمر، إنها ك .. أحيانًا هي هناك، و أحيانًا تظهر، + +125 +00:11:57,480 --> 00:12:02,900 +لذلك مرة أخرى، فأفكار المستقبل غير موجودة.ماذا بعد + +126 +00:12:02,900 --> 00:12:05,980 +ذلك؟ + +127 +00:12:05,980 --> 00:12:11,260 +يتغير الـSummer بمجرد فرصة أو بمجرد طريقة طبيعية + +128 +00:12:11,260 --> 00:12:16,200 +الانتقال، لذلك الـSummer مستعد للانتقال، الـSummer + +129 +00:12:16,200 --> 00:12:23,400 +مستعد للانتقال، مستعد للموت، مستعد + +130 +00:12:23,400 --> 00:12:28,600 +للانتقال، مستعد للموت، مستعد للانتقال، مستعد + +131 +00:12:28,600 --> 00:12:29,520 +للانتقال، مستعد للانتقال، مستعد للانتقال، مستعد + +132 +00:12:29,520 --> 00:12:30,240 +للانتقال، مستعد للانتقال، مستعد للانتقال، مستعد + +133 +00:12:30,240 --> 00:12:30,300 +للانتقال، مستعد للانتقال، مستعد للانتقال، مستعد + +134 +00:12:30,300 --> 00:12:31,100 +للانتقال، مستعد للانتقال، مستعد للانتقال، مستعد + +135 +00:12:31,100 --> 00:12:36,020 +للانتقال، مستعدهو يحصل على جميع هذه القوى الموتى + +136 +00:12:36,020 --> 00:12:41,320 +وهو مهتم بالجمال من صديقه لذا يجب أن يبحث عن + +137 +00:12:41,320 --> 00:12:46,120 +اختلافأترى؟ أعني إنه مشكلة، تعرفين ماذا يعني + +138 +00:12:46,120 --> 00:12:50,460 +مشكلة؟ إنها مشكلة، تعرفين؟ وشيكسبير يجب أن يجد + +139 +00:12:50,460 --> 00:12:57,260 +طريقة خارج هذه المشكلة مثل .. لنقول .. لحفظ جمال + +140 +00:12:57,260 --> 00:13:04,760 +صديقه، لأنك تعرف أنه يعتقد أن جمال صديقه مختلف + +141 +00:13:04,760 --> 00:13:11,170 +ويجب أن يتم حفظه بطريقة مختلفة، ليس مثلالجمال + +142 +00:13:11,170 --> 00:13:15,570 +الصيفي أعتقد أنه في هذه القصة يمكننا أن نعجب + +143 +00:13:15,570 --> 00:13:24,310 +الكتاب لصالحه هذا مثل حب من صديق إلى صديق حسنا + +144 +00:13:24,310 --> 00:13:29,130 +دعونا ننظر إلى القصة وأعتقد أنك قرأتها بصوت في + +145 +00:13:29,130 --> 00:13:35,410 +المنزل الأن هل أقاربك إلى يوم الصيف مثل هذا هي + +146 +00:13:35,410 --> 00:13:39,880 +سؤال ماهو نوع السؤال؟it is a rhetorical question + +147 +00:13:39,880 --> 00:13:43,660 +now okay it's a rhetorical question but what are + +148 +00:13:43,660 --> 00:13:47,340 +the implications of the rhetorical questions when + +149 +00:13:47,340 --> 00:13:50,840 +he says shall I compare thee to a summer's day + +150 +00:13:50,840 --> 00:13:58,290 +okay there is nowhere to compare yesشكسفير ليس + +151 +00:13:58,290 --> 00:14:02,290 +متأكد انه يقارن يوم الصيف مع جمال صديقه؟ نعم، ليس + +152 +00:14:02,290 --> 00:14:06,010 +متأكد انه يحب التقارن لأنه يعتقد أن جمال صديقه + +153 +00:14:06,010 --> 00:14:09,630 +أكثر مستمر، نعم عنا؟ يمكن أنه يكون مخيف أو في + +154 +00:14:09,630 --> 00:14:14,090 +دلوقتي، مثلما قلت أنه إذا كان على حق أن يقارن + +155 +00:14:14,090 --> 00:14:17,670 +صديقه إلى يوم الصيف؟ لذلك، نعم، أنا أحب هذا يا + +156 +00:14:17,670 --> 00:14:22,830 +عنا، لأنك تعرف، يبدو أنه كان في حالة التفكير، + +157 +00:14:22,830 --> 00:14:33,890 +تعرفين؟ وكان قليل منأتفاجر عن أفضل طريقة لإيقاف + +158 +00:14:33,890 --> 00:14:35,350 +أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء + +159 +00:14:35,350 --> 00:14:35,430 +أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء + +160 +00:14:35,430 --> 00:14:37,410 +أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء + +161 +00:14:37,410 --> 00:14:38,110 +أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء + +162 +00:14:38,110 --> 00:14:39,210 +أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء + +163 +00:14:39,210 --> 00:14:44,570 +أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أصدقاء أ + +164 +00:14:56,450 --> 00:15:01,850 +الشيء المزعج هو أنه في الانتقال لتقاريره بدأ + +165 +00:15:01,850 --> 00:15:07,670 +يتقارن لإظهار كيف انهم .. كما تعلمين جمال الصيف + +166 +00:15:07,670 --> 00:15:15,470 +وجمال صديقه كيف انهم مختلفين، تعرفين اسم مختلف؟ + +167 +00:15:15,470 --> 00:15:18,230 +مختلف، دعني أكتر كلمة مختلفة + +168 +00:15:30,900 --> 00:15:46,960 +discretant اه okay okay + +169 +00:15:46,960 --> 00:15:48,220 +يعني انا اكمل مانعيش + +170 +00:16:03,920 --> 00:16:09,340 +yeah discrepant as you see something different is + +171 +00:16:09,340 --> 00:16:15,140 +it clear okay discrepant means something different + +172 +00:16:15,140 --> 00:16:26,800 +okay + +173 +00:16:28,130 --> 00:16:32,970 +Okay it's clear okay + +174 +00:16:32,970 --> 00:16:39,750 +I don't care yes discrepant means different okay + +175 +00:16:39,750 --> 00:16:44,470 +in what way in what way it is discrepant + +176 +00:16:48,510 --> 00:16:53,090 +لأ، كانوا أكثر جميلين وأكثر مرحبين، إنه مثل + +177 +00:16:53,090 --> 00:16:56,590 +مرحبين، إنه مرتبط، لذا فإن فكرة المرتبط، رأينا + +178 +00:16:56,590 --> 00:17:01,150 +فكرة المرتبط، إذا تذكرين، في Spencer رأينا فكرة + +179 +00:17:01,150 --> 00:17:08,550 +المرتبط في Sidney، لذا ففكرة المرتبط كانت شيء مهم + +180 +00:17:08,550 --> 00:17:14,750 +في وقت الالزبيف، لذلك أن تكون مرتبط كان شيء جيد، + +181 +00:17:14,750 --> 00:17:16,030 +مرتبط، + +182 +00:17:18,110 --> 00:17:27,910 +Okay, now let's go back to the poem So + +183 +00:17:27,910 --> 00:17:33,610 +rough winds do shake the darling Now he's going to + +184 +00:17:33,610 --> 00:17:40,490 +justify why he wouldn't compare He says rough + +185 +00:17:40,490 --> 00:17:45,790 +winds do shake the darling buds of May Rough winds + +186 +00:17:48,140 --> 00:17:52,840 +بالطبع إنها تصفية شخصية هنا، ولكن إذا تنظر إليها + +187 +00:17:52,840 --> 00:17:59,840 +مرة أخرى، رفوانات تحط بطيارات أمي، فهي صورة مخيفة + +188 +00:17:59,840 --> 00:18:06,600 +جدًا، وقلنا نعمهو أن الـ rough wind سيقوم بتدمير + +189 +00:18:06,600 --> 00:18:11,300 +كل شيء في السنة الماضية وهذا سيقوم بتدمير أشجار + +190 +00:18:11,300 --> 00:18:15,920 +الميه فسيتغير + +191 +00:18:15,920 --> 00:18:21,380 +الشمس وسيتدمر الشمس ولكن جمال صديقه سيستمر أبقى + +192 +00:18:21,380 --> 00:18:27,240 +هنا هو يقول rough winds في الشمس لأن في إنجلترا + +193 +00:18:27,240 --> 00:18:32,550 +الشمسهو ليس مثل مطعم الشمس الخاص بنا، إنه يتطور + +194 +00:18:32,550 --> 00:18:38,250 +كما قلنا، فعادةً يكون الشمس مصارعًا جدًا، وما يحدث + +195 +00:18:38,250 --> 00:18:43,750 +للأشجار البرجانية، للأشجار الجديدة، هؤلاء الأشجار + +196 +00:18:43,750 --> 00:18:46,930 +المجنونة، هؤلاء الأشجار المبسطة، هم مصابين، + +197 +00:18:46,930 --> 00:18:50,470 +تعرفين؟ يمكن أن يكونوا بسهولة أن يتحركوا بسهولة، + +198 +00:18:50,470 --> 00:18:56,360 +انظر هنا، الانتقالانظر إلى الفرق بين مثلًا في + +199 +00:18:56,360 --> 00:19:02,240 +القوة بين الناس المغناطيين ومثلًا تلك الهجومات + +200 +00:19:02,240 --> 00:19:07,860 +الصعبة بالطبع الهجومات الصعبة قد تكون متنامية + +201 +00:19:07,860 --> 00:19:14,940 +للموت نفسها، قوات الموت والناس هي متنامية من ماذا؟ + +202 +00:19:14,940 --> 00:19:21,820 +الناس، الناس، كما تعلمون، إيجابية جدًا وخوفية جدًا + +203 +00:19:21,820 --> 00:19:28,010 +في الوقت نفسهAnd summer's lease again here he's + +204 +00:19:28,010 --> 00:19:33,210 +adding another reason why he wouldn't Compare and + +205 +00:19:33,210 --> 00:19:37,870 +summer's lease Has all too short a date. What does + +206 +00:19:37,870 --> 00:19:42,070 +it mean lease? Of course lease here it's like a + +207 +00:19:42,070 --> 00:19:48,190 +vacation but he means time summer's time Has too + +208 +00:19:48,190 --> 00:19:54,240 +short a date So what does he mean?الصيف قصيرة جدًا + +209 +00:19:54,240 --> 00:19:58,920 +وفي إنجلترا الصيف مثلًا فقط 2 أشهر الصيف و الصيف + +210 +00:19:58,920 --> 00:20:09,720 +تتجمد معًا وانها فقط مثلًا 2 أشهر الناس + +211 +00:20:09,720 --> 00:20:18,180 +مثلًا يتحمسون ولكن فجأة تختفي وهنا كما ترى واحد من + +212 +00:20:18,180 --> 00:20:21,340 +الأسباب أو أسباب أخرى لماذا لم يفعل ذلك + +213 +00:20:25,380 --> 00:20:31,120 +وما كان قصيرًا أيضًا لم يكن قيمًا لإليزابيتان ما + +214 +00:20:31,120 --> 00:20:36,820 +كان قصيرًا لم يكن قيمًا لإليزابيتان + +215 +00:20:36,820 --> 00:20:43,640 +وإسماعيل السماء كانت جميعًا قصيرة جدًا مجدًا مجدًا + +216 +00:20:43,640 --> 00:20:45,680 +مجدًا مجدًا مجدًا مجدد مجدد مجدد مجدد مجدد مجدد + +217 +00:20:45,680 --> 00:20:45,720 +مجدد مجدد مجدد مجدد مجدد مجدد مجدد مجدد مجدد مجدد + +218 +00:20:45,720 --> 00:20:45,720 +مجدد مجدد مجدد مجدد مجدد مجدد مجدد مجدد مجدد مجدد + +219 +00:20:45,720 --> 00:20:48,830 +مجدد مجدد مجدد مجدد مجدد مجدد مtoo hot the eye of + +220 +00:20:48,830 --> 00:20:52,530 +heaven shines انتظر الشيخ سميل يلعب مع بعض الوقت + +221 +00:20:52,530 --> 00:20:58,170 +بعض الوقت تعالى تعالى في وقت معين و بعض الوقت + +222 +00:20:58,170 --> 00:21:01,590 +تعالى و بعض الوقت تعالى نعرف أن بعض الوقت هو مصطلح + +223 +00:21:01,590 --> 00:21:09,750 +فرق مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح + +224 +00:21:09,750 --> 00:21:10,970 +مصطلح + +225 +00:21:14,520 --> 00:21:20,260 +هل يمكنك أن تخبرني ماذا هي عدوات العرب؟ عادة؟ نعم + +226 +00:21:20,260 --> 00:21:25,740 +كالعادة؟ نعم كالعادة نعم كالعادة نعم كالعادة نعم + +227 +00:21:25,740 --> 00:21:26,120 +كالعادة نعم كالعادة نعم كالعادة نعم كالعادة نعم + +228 +00:21:26,120 --> 00:21:27,160 +كالعادة نعم كالعادة نعم كالعادة نعم كالعادة نعم + +229 +00:21:27,160 --> 00:21:30,060 +كالعادة نعم كالعادة نعم كالعادة نعم كالعادة نعم + +230 +00:21:30,060 --> 00:21:38,800 +كالعادة نعم كالعادة نعم كالعادة نعم كالعادة نعم + +231 +00:21:38,800 --> 00:21:39,480 +كالعادة نعم كالعادة نعم كالعادة نعم كالعادة نعم + +232 +00:21:39,480 --> 00:21:42,540 +كالعادة نعم كالعادة نعم كالعادة نعم كالعادة نعم + +233 +00:21:46,070 --> 00:21:48,310 +بينهم مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +234 +00:21:48,310 --> 00:21:52,070 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +235 +00:21:52,070 --> 00:21:57,450 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +236 +00:21:57,450 --> 00:21:58,210 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +237 +00:21:58,210 --> 00:21:59,410 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +238 +00:21:59,410 --> 00:21:59,750 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +239 +00:21:59,750 --> 00:22:02,410 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +240 +00:22:02,410 --> 00:22:04,290 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة مرة + +241 +00:22:04,290 --> 00:22:10,150 +واحدة مرة واحدة مرة واحدة مرة واحدة مرة واحدة + +242 +00:22:10,150 --> 00:22:10,290 +م + +243 +00:22:15,430 --> 00:22:25,650 +Okay لا تتجاوز اتركني وحدي انا + +244 +00:22:25,650 --> 00:22:30,590 +لا اعرف ماذا حدث okay + +245 +00:22:30,590 --> 00:22:33,970 +and so on these are adverbs of frequency + +246 +00:22:33,970 --> 00:22:39,850 +repeatedly hardly okay you know so when he says + +247 +00:22:39,850 --> 00:22:47,330 +sometimes it means likeهذا يتعلق بماذا؟ فلوكتشن، + +248 +00:22:47,330 --> 00:22:52,890 +هذا يتعلق بالتغيير، مثلا الجمال لشخص ما ليس + +249 +00:22:52,890 --> 00:22:59,330 +ثابتًا، ليس مقفلًا، لذلك ما ليس ثابتًا، ما ليس + +250 +00:22:59,330 --> 00:23:06,430 +بريفًا، ما ليس قيمًا في الوقت اللازميثمي، وعشان + +251 +00:23:06,430 --> 00:23:09,770 +النار تحرر عين الجهة + +252 +00:23:13,210 --> 00:23:19,410 +وعادةً جسمه القديم مغلق. لذلك هو يتكلم عن الشمس. + +253 +00:23:19,830 --> 00:23:26,070 +ماذا يعني شخصية الكلام اللي لديك هنا؟ نعم، عين + +254 +00:23:26,070 --> 00:23:34,450 +السماء، تعرفين، هنا، إنها متافورة. لكن كثيرًا + +255 +00:23:34,450 --> 00:23:35,290 +كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا + +256 +00:23:35,290 --> 00:23:35,510 +كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا + +257 +00:23:35,510 --> 00:23:37,090 +كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا + +258 +00:23:37,090 --> 00:23:38,350 +كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا كثيرًا + +259 +00:23:38,350 --> 00:23:41,710 +كثيرًا كثير + +260 +00:23:42,850 --> 00:23:47,490 +ماذا يعني هذا لنا أو للناس الإنقليزية؟ هل تعتقد + +261 +00:23:47,490 --> 00:23:57,890 +أننا قد نشارك نفس الانتصاف الثقافي؟ نعم + +262 +00:23:57,890 --> 00:24:04,850 +أعرف، لكن مثلًا هنا الشمس، أعني عين السماء، الشمس، + +263 +00:24:04,850 --> 00:24:10,790 +هل تعتقد أنهم يعجبون الشمس كثيرًا؟ لماذا؟ لأن في + +264 +00:24:10,790 --> 00:24:21,780 +إنغلاقالطيب ديال دائما، لا يظهر كثير، لذلك يقولون + +265 +00:24:21,780 --> 00:24:25,620 +أن عين السماوات أحياناً .. أحياناً كثيرة أن عين + +266 +00:24:25,620 --> 00:24:31,020 +السماوات تشجع، وعادةً جسمه القديم مغلق، لذلك + +267 +00:24:31,020 --> 00:24:36,140 +فأفكار التغيير موجودة هناك، فأفكار الرحمة موجودة + +268 +00:24:36,140 --> 00:24:42,980 +هناكand every fair from fair I see and every fair + +269 +00:24:42,980 --> 00:24:48,700 +and every fair from fair sometime declines how + +270 +00:24:48,700 --> 00:24:51,780 +should we read this line how should we read this + +271 +00:24:51,780 --> 00:24:56,860 +line I know but how should we read it and every + +272 +00:24:56,860 --> 00:25:00,560 +fair from fair sometime declines like this sadly + +273 +00:25:00,560 --> 00:25:06,200 +yes how do you read it I want somebody to come + +274 +00:25:06,200 --> 00:25:11,900 +here and read itهل لديك حرارة لتقعد هنا؟ دعنا نرى، + +275 +00:25:11,900 --> 00:25:15,180 +من لدي الحرارة لتقعد هنا و تقرأ هذه اللعبة؟ و كل + +276 +00:25:15,180 --> 00:25:20,960 +حفرة من حفرة في بعض الوقت تتخلص، أليس كذلك؟ لا لا، + +277 +00:25:20,960 --> 00:25:24,700 +أريدك أن تقعد و تقرأ هذه اللعبة، أقول من لدي + +278 +00:25:24,700 --> 00:25:29,740 +الحرارة؟ من لدي الحرارة؟ حسنا، أنا أقرأها بطريقة + +279 +00:25:29,740 --> 00:25:32,100 +مختلفة و أنت تتخلص من أين؟ + +280 +00:25:35,620 --> 00:25:41,640 +and every fair from fair sometime declines and + +281 +00:25:41,640 --> 00:25:47,800 +every fair from fair sometime declines so why no? + +282 +00:25:51,220 --> 00:25:56,580 +you think there is sadness? and every fair from + +283 +00:25:56,580 --> 00:26:03,520 +fair sometime declines is like this?أنا لا أعتقد + +284 +00:26:03,520 --> 00:26:09,360 +أنه غاضب عن الشمس لأن .. لا هو هنا عندما يقول وكل + +285 +00:26:09,360 --> 00:26:16,240 +حفر من حفر أحيانا تتخلص ولكن الوضع الجمالي لن يفشل + +286 +00:26:16,240 --> 00:26:20,880 +أبدا لذلك هو مقارنة أن صديقه لن يفشل لذلك هو ليس + +287 +00:26:20,880 --> 00:26:24,840 +غاضب عن هذا هو سعيد بأن الأشياء .. لذا يجب أن يكون + +288 +00:26:24,840 --> 00:26:29,840 +وكل حفر من حفر أحيانا تتخلص؟أنا لا أعتقد ذلك، لأن + +289 +00:26:29,840 --> 00:26:36,560 +هنا هو في حالة تفكير، لأن هذا شيء مخيف، أنا لا + +290 +00:26:36,560 --> 00:26:42,720 +أعتقد أنه مرتاح، هذا مخيف جدًا، هذا مخيف جدًا، + +291 +00:26:42,720 --> 00:26:49,840 +لذلك يجب أن يكون .. وكل حفر من حفر أحيانًا يتخلص + +292 +00:26:52,870 --> 00:26:58,630 +he's meditating and look at the alliteration and + +293 +00:26:58,630 --> 00:27:04,370 +every ف from ف sometimes declines very disgusting + +294 +00:27:04,370 --> 00:27:08,730 +very frightening I think you can translate this + +295 +00:27:08,730 --> 00:27:11,750 +into Arabic anybody can translate into Arabic like + +296 +00:27:11,750 --> 00:27:17,910 +this line yes okay دوام الحال من المحال can you + +297 +00:27:17,910 --> 00:27:24,750 +improve that translation yesI like و كله جمال إلى + +298 +00:27:24,750 --> 00:27:30,170 +زوال it's very musical و كله جمال إلى زوال you + +299 +00:27:30,170 --> 00:27:34,230 +know yes it should be like this and every fair + +300 +00:27:34,230 --> 00:27:41,710 +from fair sometime declines how Shakespeare is + +301 +00:27:41,710 --> 00:27:48,150 +telling us by chance or nature's changing course + +302 +00:27:48,150 --> 00:27:49,630 +untrimmed + +303 +00:27:51,370 --> 00:28:00,050 +الحظة .. من هي الحظة؟ الحظة .. نعم .. الحظة .. + +304 +00:28:00,050 --> 00:28:09,480 +إنها صورة مدينة لأمرأة مغلقة تجلس خلف حركةوانتقل + +305 +00:28:09,480 --> 00:28:16,000 +السيارة، لذلك ليس متأكد من مكان مكانك، إنه شيء + +306 +00:28:16,000 --> 00:28:21,640 +عشوائي، فإحصار، فإحصار يعني أشياء غير متوقعية، أنت + +307 +00:28:21,640 --> 00:28:28,220 +لا تعرف بالتأكيد ما سيحصل لك، لذلك فإحصار مثل شيء + +308 +00:28:28,220 --> 00:28:37,340 +مخيف جدًا أو طبيعه تتغير طريقه غير مطلوبالطريقة + +309 +00:28:37,340 --> 00:28:44,780 +الطبيعية مثلًا، هذه هي متنمية تجارب طبيعية تجارب + +310 +00:28:44,780 --> 00:28:49,580 +طبيعية طبيعية غير مطلوبة، هل تعرفين ما هو مطلوب؟ + +311 +00:28:49,580 --> 00:28:52,740 +عندما .. عندما الأشياء .. مثلًا عندما تذهب .. و + +312 +00:28:52,740 --> 00:28:56,400 +مثلًا عندما نذهب و نطرق حرمنا أو .. كما تعرفين؟ + +313 +00:28:56,400 --> 00:29:00,560 +مثلًا نطرق .. نجعلها متساوية، تعرفين؟ لذلك عندما + +314 +00:29:00,560 --> 00:29:07,220 +الأشياء غير مطلوبةيعني أن بعضهم متساوي و بعضهم + +315 +00:29:07,220 --> 00:29:11,460 +كبير أو صغير، لذلك هم غير متساوي، لذلك ما يريد أن + +316 +00:29:11,460 --> 00:29:19,200 +يقوله هو أن المحطمات الطبيعية غير متوقع وليسوا + +317 +00:29:19,200 --> 00:29:23,540 +مشابهة في صميمة، لذلك بعض المحطمات مخيفة مثل + +318 +00:29:23,540 --> 00:29:27,940 +تسونامي ومحطمات الأرض، تعرفين، كل هذه + +319 +00:29:31,610 --> 00:29:39,350 +محطمات طبيعية أو كتاسترافات. الآن في هذه التنظيمة + +320 +00:29:39,350 --> 00:29:48,370 +شيكسبير في أمام جميع تلك الصورة المدينة قال بات + +321 +00:29:48,370 --> 00:29:57,070 +but thy eternal summer shall not fade yeah but thy + +322 +00:29:57,070 --> 00:30:01,560 +eternal summer. انظر هناالشمس، كما تعلمين، الجمال + +323 +00:30:01,560 --> 00:30:10,460 +من صديقه يصبح الشمس نفسها، الشمس، بدأ بمقارنة + +324 +00:30:10,460 --> 00:30:17,800 +الجمال، ولكن جمال صديقه يصبح شمس مختلفة، ولكن شمسك + +325 +00:30:17,800 --> 00:30:24,140 +الأبدية، لماذا؟ انظر هنا، شمسك الأبدية، لذلك هذا + +326 +00:30:24,140 --> 00:30:29,420 +مرحب جدًا مدهشًاbut thy eternal summer shall not + +327 +00:30:29,420 --> 00:30:34,220 +fade هل تعتقدين أنه عندما نقرأ هذا كيف يجب أن + +328 +00:30:34,220 --> 00:30:41,160 +نقرأه؟ but thy eternal summer shall not fade؟ يجب + +329 +00:30:41,160 --> 00:30:44,920 +أن يكون قوى لماذا؟ + +330 +00:30:44,920 --> 00:30:51,780 +لأنه متأكد انه يدعى تدعى تدعى تدعى + +331 +00:30:55,730 --> 00:31:00,850 +هو يدعى لذلك يجب أن يكون مثل انا أريدك أن تساعدني + +332 +00:31:00,850 --> 00:31:09,090 +في قراءةها هيا بذاي بذاي الصيف الأبقى لن تتفجر + +333 +00:31:09,090 --> 00:31:15,610 +بذاي بذاي + +334 +00:31:15,610 --> 00:31:23,350 +الصيف الأبقى لن تتفجر هكذا او أقوى بذاي الصيف + +335 +00:31:23,350 --> 00:31:29,610 +الأبقى لن تتفجرnor lose position of that fair thou + +336 +00:31:29,610 --> 00:31:37,710 +owest it you know so your beauty your you know + +337 +00:31:37,710 --> 00:31:43,510 +your eternal summer will never fade so summer is + +338 +00:31:43,510 --> 00:31:49,330 +compared to a plant look at this metaphor which + +339 +00:31:49,330 --> 00:31:56,970 +will never fade why why it is eternalلأنها لن تفشى + +340 +00:31:56,970 --> 00:32:03,350 +أبدا، لماذا لن تفشى أبدا؟ لأنها أتنالية، لكن لماذا + +341 +00:32:03,350 --> 00:32:08,270 +هي أتنالية؟ هذه السؤال الأخر و أعتقد أن الإجابة + +342 +00:32:08,270 --> 00:32:10,730 +ستظهر في نهاية القصة + +343 +00:32:13,350 --> 00:32:17,770 +ولكن سمارتك الإلهية لن تتفجر ولا تتخلص من موقف ذلك + +344 +00:32:17,770 --> 00:32:23,930 +الذي أعوزتك لديك ولا ستموت براجة هذا الشيطان في + +345 +00:32:23,930 --> 00:32:31,750 +شكله ولا ستموت ولا ستموت الموت في الوقت الإسلامي + +346 +00:32:31,750 --> 00:32:38,390 +كان مخيفًا جدًا وشكسبير هنا يستخدم صورة بiblical + +347 +00:32:39,860 --> 00:32:43,620 +nor shall death brag that wondrous in his shade + +348 +00:32:43,620 --> 00:32:49,560 +لأن الموت .. كما تقول في الكتابة، الموت سيكون + +349 +00:32:49,560 --> 00:32:55,300 +قدرًا، انظروا إليهم، انا قد قطعتهم جميعًا ميتًا، + +350 +00:32:55,300 --> 00:33:02,480 +شاكسبير تخيل هذا، وكان مخيفًا، تعرفين؟ لا، لا، لا، + +351 +00:33:02,480 --> 00:33:06,900 +الموت لا يجب أن يتكلم أبداً، تتكلم؟ماذا يعني براج؟ + +352 +00:33:06,900 --> 00:33:12,820 +مثلًا، أن تشعر بالفرح، أن تشجع، انظر إلي أنا، أن + +353 +00:33:12,820 --> 00:33:18,000 +تكون عارفة، براجة، هل هذا جيد للبراج؟ لا؟ لذلك، لا + +354 +00:33:18,000 --> 00:33:21,000 +تبراج المرة القادمة، لكنك تستطيع أن تقول، حسنًا، + +355 +00:33:21,000 --> 00:33:28,300 +أنا دراسة أفضل، يمكنك أن تبراج، ليس لوقت طويل، ولا + +356 +00:33:28,300 --> 00:33:34,120 +يجب أن يموت براج، انظر هنا، لا ولالأنه يدعي، + +357 +00:33:34,120 --> 00:33:39,400 +وشكسبير هنا يدعي، ولكن حياتك الأمامية لن تخسر، ولا + +358 +00:33:39,400 --> 00:33:43,000 +تخسر موقع ذلك اللوحي اللذي كنت تحبه، ولا تخسر + +359 +00:33:43,000 --> 00:33:44,700 +حياتك اللوحي اللذي كنت تحبه، ولا تخسر حياتك اللوحي + +360 +00:33:44,700 --> 00:33:45,640 +اللذي كنت تحبه، ولا تخسر حياتك اللوحي اللذي كنت + +361 +00:33:45,640 --> 00:33:49,160 +تحبه، ولا تخسر حياتك اللوحي اللذي كنت تحبه، ولا + +362 +00:33:49,160 --> 00:33:52,500 +تخسر حياتك اللوحي اللذي كنت تحبه، ولا تخسر حياتك + +363 +00:33:52,500 --> 00:33:54,180 +اللوحي اللذي كنت تحبه، ولا تخسر حياتك اللوحي اللذي + +364 +00:33:54,180 --> 00:34:02,200 +كنت تحبه، + +365 +00:34:02,200 --> 00:34:07,290 +ولا تانظر هنا هو يستخدم مصطلح اللي نسميه مصطلح + +366 +00:34:07,290 --> 00:34:10,350 +الـGrafting هل تعرفين مصطلح الـGrafting؟ ماذا يعني + +367 +00:34:10,350 --> 00:34:19,290 +مصطلح الـGrafting؟ لكي تعمل مصطلح تعمل + +368 +00:34:19,290 --> 00:34:27,330 +مصطلح مثل عمال إذا أردوا إضافة أو تعمل مصطلح لتصل + +369 +00:34:27,330 --> 00:34:30,430 +إلى نوع من الطعام + +370 +00:34:34,220 --> 00:34:39,080 +عشان تعملها مع بعض، هذه عملية عملية، لديك هنا جزء + +371 +00:34:39,080 --> 00:34:44,160 +واحد و بعدها يضيفوا عضلة أخرى وهذه عملية عملية، + +372 +00:34:44,160 --> 00:34:49,120 +لذلك هنا هذا الجزء الجديد اللذي تم عمل عليه سيطر، + +373 +00:34:49,120 --> 00:34:53,760 +سيكون كبير، لماذا؟ لأنه سيأخذ هنا، لذلك هنا الصورة + +374 +00:34:53,760 --> 00:34:54,460 +التي + +375 +00:34:56,970 --> 00:34:59,830 +أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب + +376 +00:34:59,830 --> 00:34:59,990 +أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب + +377 +00:34:59,990 --> 00:35:00,810 +أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب + +378 +00:35:00,810 --> 00:35:04,370 +أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب + +379 +00:35:04,370 --> 00:35:05,750 +أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب + +380 +00:35:05,750 --> 00:35:09,010 +أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب + +381 +00:35:09,010 --> 00:35:24,790 +أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب أصحاب + +382 +00:35:27,820 --> 00:35:33,360 +طول ما يستطيع الرجال أن يتنفس أو يستطيع العيون أن + +383 +00:35:33,360 --> 00:35:43,800 +ترى طول ما يعيش هذا و هذا يعطي الحياة لك أنت ترى؟ + +384 +00:35:43,800 --> 00:35:50,940 +هذه هي النتيجة هل تصدقين شكسفير؟ نعم لماذا؟ شكسفير + +385 +00:35:50,940 --> 00:36:02,350 +هنا جيد جدالأنه يعتقد أن جمال أصدقائه سيكون تذكر + +386 +00:36:02,350 --> 00:36:08,150 +ويصبح أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى + +387 +00:36:08,150 --> 00:36:09,970 +أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى + +388 +00:36:09,970 --> 00:36:10,590 +أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى + +389 +00:36:10,590 --> 00:36:10,770 +أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى + +390 +00:36:10,770 --> 00:36:18,410 +أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى أبقى + +391 +00:36:18,410 --> 00:36:20,810 +أب + +392 +00:36:22,610 --> 00:36:26,290 +أعتقد أن كتابته سيكون كتاباً وكان متأكد من قدرته + +393 +00:36:26,290 --> 00:36:32,550 +الإبداعي كان يعتقد أن الناس ستستمر في القراءة وهنا + +394 +00:36:32,550 --> 00:36:38,110 +شكسبير يتم كتابة ويقوم بتجريب أفعاله كل عام الأن + +395 +00:36:38,110 --> 00:36:42,670 +كانت لمدة أكتر من 500 سنة ومثل إنجلاند وشكسبير + +396 +00:36:42,670 --> 00:36:48,730 +مرتبطين معاً لذا كان شكسبير متأكد أن كتابتهسيكون + +397 +00:36:48,730 --> 00:36:53,690 +مقرر وعندما يكون مقرر صديقه ..الأن كنا نسأل من هو + +398 +00:36:53,690 --> 00:36:58,030 +هذا الصديق ..انت تعني؟ لماذا ..انت تعني؟ لذلك هذا + +399 +00:36:58,030 --> 00:37:02,270 +هو طريقة انه يتحرك ..لكن انظر هنا، نعم صديق محظوظ، + +400 +00:37:02,270 --> 00:37:06,590 +لما يستطيع الناس أن يتحرك، لما يستطيع الناس أن + +401 +00:37:06,590 --> 00:37:12,830 +يتحرك أو يستطيع العيون أن ترى، لذلك هو يقوم بتخطيط + +402 +00:37:12,830 --> 00:37:20,750 +أمله للتحركمثلًا، فقط للحياة على هذه الأرض، لذلك + +403 +00:37:20,750 --> 00:37:27,270 +كان أكتر صحيحًا و أقل مهتمًا من سبنسورد إذا تتذكر، + +404 +00:37:27,270 --> 00:37:35,710 +لذلك عيش طويلًا هذا و هذا يعطي الحياة لك، هل رأيت؟ + +405 +00:37:35,710 --> 00:37:38,930 +لذلك + +406 +00:37:38,930 --> 00:37:44,990 +هنا في الـ couplet هو يعطي حلوله الأخيرمثلًا، يا + +407 +00:37:44,990 --> 00:37:48,270 +عزيزي، قصتي ستتحفزنك. + +408 +00:37:49,290 --> 00:37:56,270 +لذلك، اكتشفنا أن القصة هي عن ماذا؟ لذلك، بعد قراءة + +409 +00:37:56,270 --> 00:38:02,970 +القصة و بعد تفكيرها، هي عن ماذا؟ هي عن .. يمكن أن + +410 +00:38:02,970 --> 00:38:05,650 +يكون عن صداقية، يمكن أن يكون عن الجمال، لكن كما + +411 +00:38:05,650 --> 00:38:09,770 +تعلمين، في نهاية اليوم، تفهمين أن شكسفير هنا يعني + +412 +00:38:12,970 --> 00:38:19,730 +الذي يحاول انهيار جمال أصدقاءه من خلال كتابته ولكن + +413 +00:38:19,730 --> 00:38:23,710 +انا اعتقد ان اذا ننظر إليها بشكل عام شيكسفير يحفظ + +414 +00:38:23,710 --> 00:38:31,290 +كتابته ويعتقد ان كتابته عميق جدا والناس ستقرأه + +415 +00:38:31,290 --> 00:38:39,840 +كمان كمان .. لماذا؟ لأن كتابته في معنى خاطئالأن + +416 +00:38:39,840 --> 00:38:44,300 +أعتقد أننا اكتشفنا القصة ولكننا لم نكتشفها على + +417 +00:38:44,300 --> 00:38:49,700 +الإطلاق، لديك شيء لتسجيله، كما تعلمين، في هذه + +418 +00:38:49,700 --> 00:38:54,500 +القصة عليك أن تنظر إلى الـ rhyme و الرhythm، إنها + +419 +00:38:54,500 --> 00:39:00,580 +تجربة شكسيبية صونت، مصنعة من ثلاث قطرين وقبلت، + +420 +00:39:00,580 --> 00:39:05,780 +أريدك أن تنظر إلىها و ترى ما يفعله في كل قطر، وكيف + +421 +00:39:05,780 --> 00:39:12,530 +يتطور الحجزماذا يفعل في أول كوارترين؟ وفي ثانوية + +422 +00:39:12,530 --> 00:39:17,690 +كوارترين، هل يكرر نفس الفكرة؟ هل يكرر نفسه في ثالث + +423 +00:39:17,690 --> 00:39:21,910 +كوارترين؟ ومن ثم في القطلة؟ فهذا ما عليك أن تنظر + +424 +00:39:21,910 --> 00:39:28,010 +إليه، عليك أن تنظر أيضًا إلى الرمز نفسه، هل رأيته؟ + +425 +00:39:28,010 --> 00:39:34,620 +الرمز، حسنًا، إنه صوت، الرمز والرمز، وحاوللكي تكتب + +426 +00:39:34,620 --> 00:39:38,360 +قصة صغيرة تكتب قصة صغيرة تكتب قصة صغيرة تكتب قصة + +427 +00:39:38,360 --> 00:39:40,960 +صغيرة تكتب قصة صغيرة تكتب قصة صغيرة تكتب قصة صغيرة + +428 +00:39:40,960 --> 00:39:42,760 +تكتب قصة صغيرة تكتب قصة صغيرة تكتب قصة صغيرة تكتب + +429 +00:39:42,760 --> 00:39:43,720 +قصة صغيرة تكتب قصة صغيرة تكتب قصة صغيرة تكتب قصة + +430 +00:39:43,720 --> 00:39:45,280 +صغيرة تكتب قصة صغيرة تكتب قصة صغيرة تكتب قصة صغيرة + +431 +00:39:45,280 --> 00:39:47,980 +تكتب قصة صغيرة تكتب قصة صغيرة تكتب قصة صغيرة تكتب + +432 +00:39:47,980 --> 00:39:55,460 +قصة صغيرة تكتب قصة + +433 +00:39:55,460 --> 00:39:56,520 +صغيرة ت + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/ReZsY2VOIaY_raw.json b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/ReZsY2VOIaY_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..91ece27544a6f443574e80e4b6c13af9eab9bc07 --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/ReZsY2VOIaY_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2554, "start": 12.84, "end": 25.54, "text": "السلام عليكم كيف حالك؟ جيد، لذا اليوم بعد أن أسمع مقالاتك", "tokens": [6027, 3794, 37440, 25894, 24793, 9122, 33911, 11331, 6027, 4117, 22807, 10874, 25708, 12399, 5296, 15730, 45595, 20498, 39182, 14739, 5551, 38251, 3615, 3714, 4587, 6027, 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What the hammer? What the chain? In what furnace was thy brain? What the anvil? What red grass? 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أن أسمع + +2 +00:00:24,040 --> 00:00:25,540 +مقالاتك + +3 +00:00:27,450 --> 00:00:30,510 +ونحن نقرر أن نستمر في المحادثة التي بدأناها + +4 +00:00:30,510 --> 00:00:34,410 +السابقة ولكن هذه المرة نحن لدينا رئيس، لذا نحن + +5 +00:00:34,410 --> 00:00:40,630 +اتين رئيسين أنا ومسا أحلام نحن نقرر المحادثة، لذا + +6 +00:00:40,630 --> 00:00:45,910 +هي ستختار مجموعة أو أي شخص يمكن أن يذهب معها ويأتي + +7 +00:00:45,910 --> 00:00:50,430 +معي، حسنًا؟ وانا أطلب منك إنك تتذكر السابقة أن + +8 +00:00:50,430 --> 00:00:55,690 +تبحث عن المزيد؟ولكن قبل أن نبدأ، سأكون مهتم + +9 +00:00:55,690 --> 00:01:08,690 +بالإستماع إلى واحد من مقالتك، أريد + +10 +00:01:08,690 --> 00:01:11,010 +مختلفة، نعم؟ + +11 +00:01:21,930 --> 00:01:24,770 +بتكون مفقودة لدقيقة واثنين و أربع دراسات هو شيء + +12 +00:01:24,770 --> 00:01:28,210 +يمكنك أن تسمح به، خاصة بعد إعجابك لكل كلمة التي تم + +13 +00:01:28,210 --> 00:01:30,870 +إعطائها في الدراسة، هنا كنت مفقودة لدقيقة و أربع + +14 +00:01:30,870 --> 00:01:31,470 +دراسات، هنا كنت مفقودة لدقيقة و أربع دراسات، هنا + +15 +00:01:31,470 --> 00:01:31,950 +كنت مفقودة لدقيقة و أربع دراسات، هنا كنت مفقودة + +16 +00:01:31,950 --> 00:01:32,290 +لدقيقة و أربع دراسات، هنا كنت مفقودة لدقيقة و أربع + +17 +00:01:32,290 --> 00:01:35,110 +دراسات، هنا كنت مفقودة لدقيقة و أربع دراسات، هنا + +18 +00:01:35,110 --> 00:01:42,650 +كنت مفقودة لدقيقة و أربع دراسات، هنا كنت + +19 +00:01:42,650 --> 00:01:46,710 +مفقودة لدقيقة وما حدث في الكتابة الـ Deluxe تذكرني + +20 +00:01:46,710 --> 00:01:50,070 +بما فعلناه في Marlow and Relief، لكنها مختلفة + +21 +00:01:50,070 --> 00:01:53,430 +الآن، إنها بين اتنين أفكار أو اتنين موضوعين في نفس + +22 +00:01:53,430 --> 00:01:56,910 +الكتابة، يجب أن نقرر إذا كانت هذه الكتابة عن تطور + +23 +00:01:56,910 --> 00:01:59,770 +عالمية أو تطور روحانية، كانت اتنين مجتمعين + +24 +00:01:59,770 --> 00:02:03,410 +يتحاربون وكلاهما أعطانا أفكار جيدة وإنجازات جيدة، + +25 +00:02:03,410 --> 00:02:06,710 +أنا حقًا .. حقًا .. حقًا .. حقًا مخيفة، أنا حقًا + +26 +00:02:06,710 --> 00:02:11,420 +مخيفة أنه يمكن أن تقول أنها شيء لتطور روحانيةبسبب + +27 +00:02:11,420 --> 00:02:14,380 +أنها كتابة في وقت الانتصار، عاديةً، الكتابة كانت + +28 +00:02:14,380 --> 00:02:17,660 +تتميز باسم الانتصار الدراسي، ولكن عندما ترى + +29 +00:02:17,660 --> 00:02:22,020 +الكلمات أو الكتابة نفسها، يأتي إلى عقلك أنها تتحدث + +30 +00:02:22,020 --> 00:02:25,480 +عن تخيلة ديبوتيكية، أنا حقًا لا أعرف، ولكن + +31 +00:02:25,480 --> 00:02:31,280 +بالتأكيد بعد تحليل ومحققتي ومحققتي، أتمنى أن أصلح + +32 +00:02:31,280 --> 00:02:35,260 +النقطة، بعد ذلكالدكتور حبيب شهد بعض الفيديو التي + +33 +00:02:35,260 --> 00:02:37,660 +تشير إلى كيف كانت إنجلان وكيف تغيرت الانتصار + +34 +00:02:37,660 --> 00:02:43,300 +الانتصار تغيرت كل شيء حتى بقوة المنطقة حسنا شكرا + +35 +00:02:43,300 --> 00:02:51,560 +جزيلا لك نعم يبدو أننا نجحنا في تحريرك لأن هذا كان + +36 +00:02:51,560 --> 00:02:58,160 +الهدف تحررك و تجعلك تبحث أكتر لأنك لا تعرف ما هو + +37 +00:02:58,160 --> 00:03:03,180 +الموضوع لذلك يجب أن تبحث و ترى ماهو الموضوعOkay, + +38 +00:03:03,580 --> 00:03:06,140 +yes, Jihan do you want to redeem yourself because + +39 +00:03:06,140 --> 00:03:11,540 +you keep absent and you don't like to see the + +40 +00:03:11,540 --> 00:03:16,840 +surprises? Do you know what the surprise? It + +41 +00:03:16,840 --> 00:03:20,820 +sounds like a bad one. No, no, no, okay. It's a + +42 +00:03:20,820 --> 00:03:24,620 +good one. You come here. Okay, this is more + +43 +00:03:24,620 --> 00:03:30,950 +unbuffled as well.Tiger tiger by Blake's hand In + +44 +00:03:30,950 --> 00:03:34,370 +the night the eyes do stand Created by God burning + +45 +00:03:34,370 --> 00:03:37,130 +bright And then by the poet another in sight + +46 +00:03:37,130 --> 00:03:40,930 +Framed good and framed bad They say that's exactly + +47 +00:03:40,930 --> 00:03:44,730 +industrial land But poetics I see a poet's stand + +48 +00:03:44,730 --> 00:03:49,830 +So perplexing it may it might Be this or that or a + +49 +00:03:49,830 --> 00:03:53,130 +third invoked frightحسنًا، تصفيح جيدًا لها مرة + +50 +00:03:53,130 --> 00:03:59,070 +أخرى كما تعلمين، هي تشير إلى المشكلة التي لدينا من + +51 +00:03:59,070 --> 00:04:04,030 +الانتقالات ودراسة اليوم، كما تعلمين، مصطلح دراسة + +52 +00:04:04,030 --> 00:04:12,130 +اليوم هو الانتقالات المختلفة بين بليكس وتيجر، لذلك + +53 +00:04:12,130 --> 00:04:19,170 +الأن، في المرة الأخيرة، فقط حاولناللتحديد على + +54 +00:04:19,170 --> 00:04:28,370 +اتصالين مختلفة مثلا أكثر مشهورة هي الـTiger هي + +55 +00:04:28,370 --> 00:04:34,930 +عالم التطور الدولي والأكتر عالمي هو كما ترى سألتقى + +56 +00:04:34,930 --> 00:04:44,050 +إنه عن التخيل المصطلحي إنه عن خلق الأعمال لذلك نحن + +57 +00:04:44,050 --> 00:04:48,050 +نريد أن نراك تتعامل اليوموهو السبب في أننا قررنا + +58 +00:04:48,050 --> 00:04:53,050 +مخطط جديد أو استراتيجي جديد لديه مدرب ممتع معي + +59 +00:04:53,050 --> 00:04:58,230 +ونحن نتحارب وطبعا انا احنا نتحارب اليوم ضد اعتباري + +60 +00:04:58,230 --> 00:05:06,370 +ايه يعني ربما في عرض تحارب اذا مثلا اود ان الناس + +61 +00:05:06,370 --> 00:05:12,750 +تأتي من هذا الجانب لتشارك مع ميس أحلام اللي مستعد + +62 +00:05:16,550 --> 00:05:21,910 +انها تستخدم الخلق الروحاني و سوف نحصل على قصة، + +63 +00:05:21,910 --> 00:05:28,210 +نعم؟ مرة أخرى، يا خالد، سوف نحصل على حدث مثل ما + +64 +00:05:28,210 --> 00:05:32,950 +حصل في السابقة؟ حسنًا، انت فقط تأتي إلى هنا، + +65 +00:05:32,950 --> 00:05:39,730 +حسنًا، أرجوك؟ هل من يريد أن يتجاوز معها؟ معهم؟ + +66 +00:05:39,730 --> 00:05:43,670 +حسنًا، دعونا نرى، هذا مثل أنك تأتي إلى جهة إما هنا + +67 +00:05:43,670 --> 00:05:47,190 +أو هناSo I'm afraid nobody is going to side with + +68 +00:05:47,190 --> 00:05:54,810 +me okay yes you can have your your bring your + +69 +00:05:54,810 --> 00:05:58,610 +bring chairs we + +70 +00:05:58,610 --> 00:05:59,490 +need the poem though + +71 +00:06:22,420 --> 00:06:32,840 +حسنا حسنا نحتاج + +72 +00:06:32,840 --> 00:06:43,080 +أشخاص يأتيوا على موقعي نعم إنه عن عالم التطور حسنا + +73 +00:06:43,080 --> 00:06:45,380 +تريدوني أن أكون وحدي؟ + +74 +00:06:49,530 --> 00:06:57,590 +نعم رواند نحن مثل الآخر رواند أترى؟ نعم هل تريد + +75 +00:06:57,590 --> 00:07:03,510 +مثل .. لا تقعد فقط رواند مثل .. لسنا لدينا دو + +76 +00:07:03,510 --> 00:07:05,990 +رواند، هذا سي .. حسنا + +77 +00:07:24,700 --> 00:07:38,760 +لا ليس هناك لديناها هنا لدينا + +78 +00:07:38,760 --> 00:07:44,260 +هنا لدينا + +79 +00:07:44,260 --> 00:07:49,840 +هنا + +80 +00:07:49,840 --> 00:07:52,840 +لدينا هنا لدينا هنا لدينا هنا لدينا هنا لدينا هنا + +81 +00:07:52,840 --> 00:08:00,710 +لدينا هناما رأيك؟ هل الـTiger مجرد فكرة مصرية أو + +82 +00:08:00,710 --> 00:08:06,730 +مجرد فكرة مصرية أو مجرد فكرة مصرية أو مجرد فكرة + +83 +00:08:06,730 --> 00:08:06,730 +مصرية؟ أو مجرد فكرة مصرية؟ أو مجرد فكرة مصرية؟ أو + +84 +00:08:06,730 --> 00:08:06,770 +مجرد فكرة مصرية؟ أو مجرد فكرة مصرية؟ أو مجرد فكرة + +85 +00:08:06,770 --> 00:08:07,170 +مصرية؟ أو مجرد فكرة مصرية؟ أو مجرد فكرة مصرية؟ أو + +86 +00:08:07,170 --> 00:08:09,370 +مجرد فكرة مصرية؟ أو مجرد فكرة مصرية؟ أو مجرد فكرة + +87 +00:08:09,370 --> 00:08:16,130 +مصرية؟ أو مجرد فكرة مصرية؟ أو مجرد فكرة مصرية؟ أو + +88 +00:08:16,130 --> 00:08:17,610 +مجرد فكرة + +89 +00:08:20,220 --> 00:08:27,000 +All right. I think like the era before Blake you + +90 +00:08:27,000 --> 00:08:31,300 +know the poetry lacked imagination. They were too + +91 +00:08:31,300 --> 00:08:33,960 +concerned about rationalism and reason and you + +92 +00:08:33,960 --> 00:08:36,590 +know discussing these themes in their poetryو + +93 +00:08:36,590 --> 00:08:42,470 +بلايك كانت الـ pre-romantic، فبدأ أو بدأ بعمله + +94 +00:08:42,470 --> 00:08:49,390 +أفكار مصطلحية، فأحسن فكرة التعامل السيماتيكي في + +95 +00:08:49,390 --> 00:08:55,490 +مصطلحه و هنا في الـTiger، رأينا الكثير من الأشياء، + +96 +00:08:55,490 --> 00:09:00,330 +مثل اليد، العين، الصورة، و بعض الأكزاموران و هو + +97 +00:09:00,330 --> 00:09:05,650 +يظهر خلق الله، لكنه أعطاه لنا، و أصورته بطريقة + +98 +00:09:06,040 --> 00:09:11,820 +لإعطائنا معنى أكتر، لنرى ما هو خارج هذه الخلقية، + +99 +00:09:11,820 --> 00:09:17,680 +لنرى .. مثلًا .. هو روحى الأسوأ والجيد، مثلًا، هو + +100 +00:09:17,680 --> 00:09:23,080 +أظهر لنا خلق عمل، وهذا ما أراه مثلًا مشهورًا جدًا + +101 +00:09:23,080 --> 00:09:28,220 +في هذه القصة .. القصة في الواضحة. حسنًا، شكرا. هل + +102 +00:09:28,220 --> 00:09:31,400 +تريد .. هل تريد أن تضيف أي شيء؟ انت فقط قريب من + +103 +00:09:31,400 --> 00:09:37,060 +هنا؟ نعم، هل تريد أن تردف هذا؟أعتقد أن وليم بليك + +104 +00:09:37,060 --> 00:09:41,820 +هو واحد من الرومانسيين وكانوا جميعهم مهتمين + +105 +00:09:41,820 --> 00:09:47,660 +بالكتابة عن كتابة الاندوسترالية وكتاباتهم، فهو + +106 +00:09:47,660 --> 00:09:52,360 +واحد منهم، فهو أيضًا يكتب عن كتابة الاندوسترالية + +107 +00:09:57,360 --> 00:10:03,860 +أعتقد أنك قد تكون صحيح بشكل محدد لأن ما قلته يتعلق + +108 +00:10:03,860 --> 00:10:10,560 +بالأشياء العامة، أنت محق، ليس بالقصة، ليس بالتخيل، + +109 +00:10:10,560 --> 00:10:17,540 +لكن بليك كان مهتم بالتخيل لأنه كان يكتب شيء ضد + +110 +00:10:17,540 --> 00:10:22,440 +توقع وقتهولكن أعتقد هنا في هذه القصيدة أنها عن + +111 +00:10:22,440 --> 00:10:26,660 +تطور عالمي مثلا كما ترى هناك الكثير من الوصفات في + +112 +00:10:26,660 --> 00:10:31,120 +القصيدة التي تؤكد عن الحقيقة أنها عن تطور عالمي + +113 +00:10:31,120 --> 00:10:38,320 +هذا البرنامج اللي يتم تصميمه، يتم تصميمه، يعني + +114 +00:10:38,320 --> 00:10:42,880 +الطيور، يبدو أنها عن تطور عالمي + +115 +00:10:49,570 --> 00:10:55,530 +وكذا، كما قلت أن القصة بشكل عام تتحدث عن نوع من + +116 +00:10:55,530 --> 00:11:01,910 +التطور، رغم أنه تتحدث عن تطور دولي أو تطور قصدي أو + +117 +00:11:01,910 --> 00:11:05,110 +تطور قصدي مرة أخرى، نستطيع أن نعتبر كلا الاثنين في + +118 +00:11:05,110 --> 00:11:10,250 +القصة هنا، الـTigerSo this is just as you said + +119 +00:11:10,250 --> 00:11:12,790 +before that diploma is talking about the + +120 +00:11:12,790 --> 00:11:14,570 +industrial revolution or the French or the + +121 +00:11:14,570 --> 00:11:17,630 +American revolution whatever revolution it is so + +122 +00:11:17,630 --> 00:11:20,530 +we can talk about revolutions in general so you + +123 +00:11:20,530 --> 00:11:23,970 +are giving me credit thank you very muchIt's okay + +124 +00:11:23,970 --> 00:11:24,190 +it's okay it's okay it's okay it's okay it's okay + +125 +00:11:24,190 --> 00:11:24,190 +it's okay it's okay it's okay it's okay it's okay + +126 +00:11:24,190 --> 00:11:24,190 +it's okay it's okay it's okay it's okay it's okay + +127 +00:11:24,190 --> 00:11:24,190 +it's okay it's okay it's okay it's okay it's okay + +128 +00:11:24,190 --> 00:11:24,550 +it's okay it's okay it's okay it's okay it's okay + +129 +00:11:24,550 --> 00:11:25,230 +it's okay it's okay it's okay it's okay it's okay + +130 +00:11:25,230 --> 00:11:25,250 +it's okay it's okay it's okay it's okay it's okay + +131 +00:11:25,250 --> 00:11:27,970 +it's okay it's okay it's okay it's okay it's okay + +132 +00:11:27,970 --> 00:11:33,790 +it's okay it's okay it's okay it's okay it's okay + +133 +00:11:33,790 --> 00:11:33,830 +it's okay it's okay it's okay it's okay it's okay + +134 +00:11:33,830 --> 00:11:33,830 +it's okay it's okay it's okay it's okay it's okay + +135 +00:11:33,830 --> 00:11:34,730 +it's okay it's okay it's okay it's okay it's okay + +136 +00:11:34,730 --> 00:11:34,810 +it's okay it's okay it's okay it's okay it's okay + +137 +00:11:34,810 --> 00:11:35,230 +it's okay it's okay it's okay it's okay it's okay + +138 +00:11:35,230 --> 00:11:40,370 +it's okay it's okay it's okay it's + +139 +00:11:44,430 --> 00:11:48,490 +ولم يكن مهتم بشعوره بشعوره بشعوره بشعوره بشعوره + +140 +00:11:48,490 --> 00:11:50,410 +بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره + +141 +00:11:50,410 --> 00:11:51,150 +بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره + +142 +00:11:51,150 --> 00:11:51,350 +بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره + +143 +00:11:51,350 --> 00:11:54,530 +بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره + +144 +00:11:54,530 --> 00:11:54,530 +بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره بشعوره + +145 +00:11:54,530 --> 00:12:00,970 +بشعوره بشعوره بشعوره + +146 +00:12:00,970 --> 00:12:06,080 +بشOkay thank you very much you know it sounds + +147 +00:12:06,080 --> 00:12:09,760 +interesting but let us you know gently disagree + +148 +00:12:09,760 --> 00:12:13,240 +with you and I'm not sure like whether one of my + +149 +00:12:13,240 --> 00:12:16,900 +team members is going to have you know .. actually + +150 +00:12:16,900 --> 00:12:20,800 +the + +151 +00:12:20,800 --> 00:12:24,400 +poem is like describing process and like we all + +152 +00:12:24,400 --> 00:12:26,540 +know that industrial revolution is concerned with + +153 +00:12:26,540 --> 00:12:32,940 +process like toتصنع شيء وفي الـTiger يمكن أن يكون + +154 +00:12:32,940 --> 00:12:38,860 +روحانا كما انه يشبه التطور الدولي بروحانته نشطته + +155 +00:12:38,860 --> 00:12:40,540 +نشطته نشطته نشطته نشطته نشطته نشطته نشطته نشطته + +156 +00:12:40,540 --> 00:12:40,960 +نشطته نشطته نشطته نشطته نشطته نشطته نشطته نشطته + +157 +00:12:40,960 --> 00:12:41,540 +نشطته نشطته نشطته نشطته نشطته نشطته نشطته نشطته + +158 +00:12:41,540 --> 00:12:46,940 +نشطته نشطته نشطته نشطته نشطته نشطته نشطته نشطته + +159 +00:12:46,940 --> 00:12:49,140 +نشطته نشطته نشطته نشطته نشطته نشطته نشطته نشطته + +160 +00:12:49,140 --> 00:12:58,740 +نشطته نشطته نشطته نشطته نشوهو مخيف جدًا ومخيف جدًا + +161 +00:12:58,740 --> 00:13:04,960 +ونعم ذلك كان .. أعرف أن بعضكم ستقول ماذا عن .. كما + +162 +00:13:04,960 --> 00:13:10,840 +تعلمون مثل خوفية سيماتراي وكذلك بالطبع التجاربية + +163 +00:13:10,840 --> 00:13:11,220 +لديها + +164 +00:13:13,950 --> 00:13:15,350 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +165 +00:13:15,350 --> 00:13:16,170 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +166 +00:13:16,170 --> 00:13:17,390 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +167 +00:13:17,390 --> 00:13:18,630 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +168 +00:13:18,630 --> 00:13:19,970 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +169 +00:13:19,970 --> 00:13:21,690 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +170 +00:13:21,690 --> 00:13:22,290 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +171 +00:13:22,290 --> 00:13:22,730 +الشيء اللي يشبه الشيء اللي يشبه الشيء اللي يشبه + +172 +00:13:22,730 --> 00:13:40,050 +الشيء اللي + +173 +00:13:40,050 --> 00:13:41,130 +يش + +174 +00:13:50,010 --> 00:13:54,590 +Okay I want to say from the poem itself why he + +175 +00:13:54,590 --> 00:13:59,670 +choose the tiger and the lamb might he mean the + +176 +00:13:59,670 --> 00:14:05,970 +lamb his earlier poem which he write in the past + +177 +00:14:08,000 --> 00:14:11,280 +وهو الوحش اللي كتب القرص اللي كتب القرص اللي كتب + +178 +00:14:11,280 --> 00:14:13,520 +القرص اللي كتب القرص اللي كتب القرص اللي كتب القرص + +179 +00:14:13,520 --> 00:14:15,280 +اللي كتب القرص اللي كتب القرص اللي كتب القرص اللي + +180 +00:14:15,280 --> 00:14:19,120 +كتب القرص اللي كتب القرص اللي كتب القرص اللي كتب + +181 +00:14:19,120 --> 00:14:20,080 +القرص اللي كتب القرص اللي كتب القرص اللي كتب القرص + +182 +00:14:20,080 --> 00:14:22,860 +اللي كتب القرص اللي كتب القرص اللي كتب القرص اللي + +183 +00:14:22,860 --> 00:14:23,680 +كتب القرص اللي كتب القرص اللي كتب القرص اللي كتب + +184 +00:14:23,680 --> 00:14:24,400 +القرص اللي كتب القرص اللي كتب القرص اللي كتب القرص + +185 +00:14:24,400 --> 00:14:28,700 +اللي كتب القرص الل + +186 +00:14:29,900 --> 00:14:35,200 +الطيجر كان مثلًا أغاني الإنسانية وكان يتكلم عن + +187 +00:14:35,200 --> 00:14:38,020 +طفولته وإنسانية طفولته قبل أن يكونوا مغامرين + +188 +00:14:38,020 --> 00:14:42,980 +كطفولة أو أطفال أعتقد أن الطيجر مثلًا مختلفًا عن + +189 +00:14:42,980 --> 00:14:46,400 +الطيجر عندما يتكلم الطفولة لذلك سيكون مغامرًا من + +190 +00:14:46,400 --> 00:14:50,720 +تجارب العالمية لتنسى مهوية الحياة وكيف يمكن أن + +191 +00:14:50,720 --> 00:14:54,520 +يكون مثلًا مغامرًا وخالصًا في قلوبه مثلًا يتم + +192 +00:14:54,520 --> 00:15:01,910 +تغييره من السحرالتقليد لمجموعات أكتر ولمجموعات + +193 +00:15:01,910 --> 00:15:05,810 +مجتمعية أكتر ومجموعات مجتمعية أكتر ومجموعات + +194 +00:15:05,810 --> 00:15:06,230 +مجتمعية أكتر ومجموعات مجتمعية أكتر ومجموعات + +195 +00:15:06,230 --> 00:15:06,950 +مجتمعية أكتر ومجموعات مجتمعية أكتر ومجموعات + +196 +00:15:06,950 --> 00:15:07,270 +مجتمعية أكتر ومجموعات مجتمعية أكتر ومجموعات + +197 +00:15:07,270 --> 00:15:08,810 +مجتمعية أكتر ومجموعات مجتمعية أكتر ومجموعات + +198 +00:15:08,810 --> 00:15:08,810 +مجتمعية أكتر ومجموعات مجتمعية أكتر ومجموعات + +199 +00:15:08,810 --> 00:15:11,850 +مجتمعية أكتر ومجموعات + +200 +00:15:11,850 --> 00:15:13,010 +مجتمعية أكتر + +201 +00:15:37,500 --> 00:15:41,040 +So the tiger has two sides, that she is very + +202 +00:15:41,040 --> 00:15:44,360 +fearful, it's very beautiful, at the same time the + +203 +00:15:44,360 --> 00:15:48,260 +industrial revolution maybe it's destroyed the + +204 +00:15:48,260 --> 00:15:50,840 +nature, destroyed the countryside, but in the same + +205 +00:15:50,840 --> 00:15:55,300 +time it has something useful, it has a lot of + +206 +00:15:55,300 --> 00:16:02,960 +advantagesهو يستخدم مصطلحه الرئيسي اللي يقول أننا + +207 +00:16:02,960 --> 00:16:07,140 +لدينا اختلاف بين الحمضاني و الحمضاني أنا أعتقد أن + +208 +00:16:07,140 --> 00:16:13,040 +السؤال هنا هو أن الشخص في القصة يشجع، يسأل، لأن + +209 +00:16:13,040 --> 00:16:18,620 +هذا محطم مثلًا، هل هو الشخص اللي خلق الحمضاني + +210 +00:16:18,620 --> 00:16:23,660 +خلقه؟ لذا فهو مفاجأة لأن هذا مثل محطمthink of the + +211 +00:16:23,660 --> 00:16:28,840 +other side I mean here it's okay is + +212 +00:16:28,840 --> 00:16:35,160 +it a bonus sir for whom?السؤال الآخر، فهو بخير، + +213 +00:16:35,160 --> 00:16:39,480 +نستطيع أن نتفق أنه مصعد مثلًا، لكنه مصعد لمن؟ هل + +214 +00:16:39,480 --> 00:16:43,960 +هو مصعد للرومانسية الجديدة، الوقت الجديد أو للوقت + +215 +00:16:43,960 --> 00:16:46,780 +السابق، أعني قبل الرومانسية الجديدة، القصة + +216 +00:16:46,780 --> 00:16:50,600 +الجديدة، فهذا شيء أخر، فإذا كنا نذهب مرة أخرى إلى + +217 +00:16:50,600 --> 00:16:54,140 +السمتري الخوفي، السمتري هو شكل الكتابة، هذا ما + +218 +00:16:54,140 --> 00:16:58,330 +يمكننا أن نعتبره هنا، لكنه خوفي، خوفي لمن؟هو خائف + +219 +00:16:58,330 --> 00:17:01,690 +من .. انا أقصد الجيل الجديد او الجيل السابق؟ لذا + +220 +00:17:01,690 --> 00:17:04,570 +قد يكون خائف منهم لأنه نوع من نوع من نوع من نوع من + +221 +00:17:04,570 --> 00:17:05,070 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +222 +00:17:05,070 --> 00:17:05,390 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +223 +00:17:05,390 --> 00:17:05,790 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +224 +00:17:05,790 --> 00:17:06,230 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +225 +00:17:06,230 --> 00:17:06,970 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +226 +00:17:06,970 --> 00:17:08,670 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +227 +00:17:08,670 --> 00:17:08,670 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +228 +00:17:08,670 --> 00:17:14,850 +نوع من نوع من نوع من نوع من نوع من نوع من نوع من + +229 +00:17:14,850 --> 00:17:22,170 +نوع من نSo thank you it's a strong proposition you + +230 +00:17:22,170 --> 00:17:27,730 +know which we have to respond yes also here like + +231 +00:17:27,730 --> 00:17:30,570 +the main focus if you see whether the lamp or the + +232 +00:17:30,570 --> 00:17:33,270 +tiger you see that the main focus not only the + +233 +00:17:33,270 --> 00:17:38,730 +thematic focus but also the stylistic focus is on + +234 +00:17:38,730 --> 00:17:41,670 +creation like when you said okay there's the good + +235 +00:17:41,670 --> 00:17:44,490 +side and the bad side this is something like a + +236 +00:17:44,490 --> 00:17:49,700 +likeمجرد جزء من الموضوع وانت مرتبط بذلك بـ + +237 +00:17:49,700 --> 00:17:52,580 +Industrial Revolution ولكن إذا كنت تفكر في فكرة + +238 +00:17:52,580 --> 00:17:56,920 +قصيدة، فهي تحتوي على موضوع، فهي تحتوي على مصطلح، + +239 +00:17:56,920 --> 00:18:02,060 +الوصفات في القصة أحترم ما تقوله يا رفاق، لكن يبدو + +240 +00:18:02,060 --> 00:18:06,660 +أنك لا تنظر جيدًا إلى القصة، أنت لا تنظر جيدًا إلى + +241 +00:18:06,660 --> 00:18:11,670 +كلمة Frame وأنا أفكر في Frameالأمر يتعلق بالـ + +242 +00:18:11,670 --> 00:18:16,570 +Artificial نحن لا نتحدث عن إيماجينيشن الـ framing + +243 +00:18:16,570 --> 00:18:21,510 +نحن نتحدث عن إيماجينيشن الـ framing هو أكتر + +244 +00:18:21,510 --> 00:18:24,970 +إيماجينيشن عندما نتحدث عن إيماجينيشن هو أكتر + +245 +00:18:24,970 --> 00:18:30,110 +إيماجينيشن ليس عمل الإيماجينيشن + +246 +00:18:32,610 --> 00:18:39,070 +أكتر مثلًا، لكن هذا يتعلق بالخلق. و مرة أخرى، نحن + +247 +00:18:39,070 --> 00:18:44,170 +نتحدث عن كل الخلق كإذا رأينا شخص ما يسحق النار، + +248 +00:18:44,170 --> 00:18:48,690 +يسحق النار، يسحق المكان، يسحق المكان، هل رأيت؟ لكن + +249 +00:18:48,690 --> 00:18:54,890 +النار كعالم استخدمت كثيرًا في الرومانسيا، لتعني + +250 +00:18:54,890 --> 00:19:01,290 +شيء أبدًاشيء غير موتى و غير موتى مرة أخرى هو كلمة + +251 +00:19:01,290 --> 00:19:03,830 +مهمة في الرومانسيزم نعم ولكن مرة أخرى، هذا حرارة + +252 +00:19:03,830 --> 00:19:08,490 +سيطانية، إنه حرارة سيطانية، إنه سيطان يحرر + +253 +00:19:08,490 --> 00:19:13,920 +الحرارة، إنه مقاوم مع الناركيف يمكنك أن تقول إنه + +254 +00:19:13,920 --> 00:19:17,740 +سيطانيك ويوجد أيدي ميتة؟ نعم ولكن انظر إلى ما هو + +255 +00:19:17,740 --> 00:19:19,340 +مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح + +256 +00:19:19,340 --> 00:19:21,400 +مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح + +257 +00:19:21,400 --> 00:19:23,380 +مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح + +258 +00:19:23,380 --> 00:19:24,560 +مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح مصطلح + +259 +00:19:24,560 --> 00:19:30,260 +مصطلح مصطلح مصطلح مصطلح مصطلح مصط + +260 +00:19:30,550 --> 00:19:34,470 +يمكنك أن تأخذ الحقيقة أن هناك شيء عن سيطانيك و + +261 +00:19:34,470 --> 00:19:37,890 +هناك شيء عن شيء جيد جدًا و إلهي إذا كنت تنظر إذا + +262 +00:19:37,890 --> 00:19:38,910 +كنت تنظر إذا كنت تنظر إذا كنت تنظر إذا كنت تنظر + +263 +00:19:38,910 --> 00:19:40,850 +إذا كنت تنظر إذا كنت تنظر إذا كنت تنظر إذا كنت + +264 +00:19:40,850 --> 00:19:41,190 +تنظر إذا كنت تنظر إذا كنت تنظر إذا كنت تنظر إذا + +265 +00:19:41,190 --> 00:19:46,810 +كنت تنظر إذا كنت تنظر إذا كنت تنظر إذا كنت تنظر + +266 +00:19:46,810 --> 00:19:51,250 +إذا + +267 +00:19:51,250 --> 00:19:52,550 +كنت تنظر + +268 +00:19:54,380 --> 00:19:59,700 +مخلوق، أقول إنه مخلوق غريب، لأنه تشكل حياته جميع + +269 +00:19:59,700 --> 00:20:04,560 +الناس الإنقليزية، مثل الناس التي كانت حياة الناس + +270 +00:20:04,560 --> 00:20:07,420 +ميكانيكالية، كما تعلمون، الكثير من الناس كانت + +271 +00:20:07,420 --> 00:20:10,380 +مجنونة، كما تعلمون، المرأة كانت مجنونة في المصنع، + +272 +00:20:10,380 --> 00:20:12,420 +لذلك، لا تعتقد أن هذا سيطانيك؟ + +273 +00:20:14,630 --> 00:20:21,790 +إنها سيماترية، نعم، كانت تجمع حياتها من الخارج، + +274 +00:20:21,790 --> 00:20:28,490 +كانوا أكثر مجتمعين، ولكن كانت هناك تنقلية صحيحة، + +275 +00:20:28,490 --> 00:20:33,870 +كانت هناك تنقلية دولية، تنقلية اجتماعية، لذلك نحن + +276 +00:20:33,870 --> 00:20:40,350 +نتكلم عن تنقل في قيم الإنسانإذا كيف تشرح كل + +277 +00:20:40,350 --> 00:20:43,590 +الكلمات التي تتعلق بالخلق أن تتغير في المشكلة + +278 +00:20:43,590 --> 00:20:47,550 +الروحانية للسنة مثل السنة السابقة كانت تحتاج + +279 +00:20:47,550 --> 00:20:52,090 +لسلسلة مختلفة، كلمات مختلفة، ومقالات مختلفة وهنا + +280 +00:20:52,090 --> 00:20:58,150 +المركز يبدو أنه يتغير ويتغير .. تتغير هذا السلسلة + +281 +00:20:58,150 --> 00:21:02,160 +الكتابة إلى شيء أكترلكن انظر هنا، هو ما زال يستخدم + +282 +00:21:02,160 --> 00:21:05,860 +الـ Heroic Couplet، فماذا تفعلين؟ هذا هو السبب + +283 +00:21:05,860 --> 00:21:09,380 +لأنه قبل رومانسية. لا، هذا ليس قبل رومانسية، هو + +284 +00:21:09,380 --> 00:21:13,780 +Heroic Couplet. Heroic Couplet هو Alexander Pope + +285 +00:21:13,780 --> 00:21:19,740 +وJohn Traudin، وهذا أعتقد أنه ميكانيكالي. إذا كنا + +286 +00:21:19,740 --> 00:21:20,660 +نتكلم عن هذا، + +287 +00:21:26,070 --> 00:21:30,590 +أنا أفضل مع الدكتورة أكرمدا إنه تجارب كينيكالية + +288 +00:21:30,590 --> 00:21:38,550 +لأنه استخدمت كما قلته استخدمت نفس الكوبلت من السنة + +289 +00:21:38,550 --> 00:21:38,550 +السابقة + +290 +00:21:53,450 --> 00:21:58,070 +تغير كل شيء، تغير كل شيء في الـPool، لإيقافنا عن + +291 +00:21:58,070 --> 00:22:02,070 +عقله، عن عقله، عن عقله، عن عقله، عن عقله، عن عقله، + +292 +00:22:02,070 --> 00:22:02,070 +عن عقله، عن عقله، عن عقله، عن عقله، عن عقله، عن + +293 +00:22:02,070 --> 00:22:03,430 +عقله، عن عقله، عن عقله، عن عقله، عن عقله، عن عقله، + +294 +00:22:03,430 --> 00:22:04,210 +عن عقله، عن عقله، عن عقله، عن عقله، عن عقله، عن + +295 +00:22:04,210 --> 00:22:04,430 +عقله، عن عقله، عن عقله، عن عقله، عن عقله، عن عقله، + +296 +00:22:04,430 --> 00:22:04,890 +عن عقله، عن عقله، عن عقله، عن عقله، عن عقله، عن + +297 +00:22:04,890 --> 00:22:14,350 +عقله، عن عقله، عن عقله، عن عقله، عن عقله، عن عقله، + +298 +00:22:14,350 --> 00:22:18,570 +عن عقله + +299 +00:22:19,700 --> 00:22:25,120 +عن كلمة tiger يعني أن الكتاب هو نفسه و Tiger يعني + +300 +00:22:25,120 --> 00:22:32,000 +وليون بلايك لأنه قد يكون خائف من حياته لتحول حياة + +301 +00:22:32,000 --> 00:22:37,420 +لهم او لتكون مثل .. فهو قال نفسه انه كتاب نفسه + +302 +00:22:37,420 --> 00:22:41,040 +كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه + +303 +00:22:41,040 --> 00:22:45,700 +كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه + +304 +00:22:45,700 --> 00:22:45,900 +كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه + +305 +00:22:45,900 --> 00:22:46,120 +كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه + +306 +00:22:46,120 --> 00:22:46,400 +كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسه كتاب نفسهI + +307 +00:22:46,400 --> 00:22:49,580 +don't know how would you look at the word it's + +308 +00:22:49,580 --> 00:22:52,660 +deadly terror like here we don't have fearful + +309 +00:22:52,660 --> 00:22:58,080 +symmetry but we have deadly terrorit is you know + +310 +00:22:58,080 --> 00:23:02,240 +it is here it's deadly you know here what the + +311 +00:23:02,240 --> 00:23:04,880 +hammer what the chain in what furnace was thy + +312 +00:23:04,880 --> 00:23:08,280 +brain what the anvil what the dirt grass there + +313 +00:23:08,280 --> 00:23:12,200 +it's now we are no longer maybe you know we are no + +314 +00:23:12,200 --> 00:23:16,180 +longer uh given uh the this image of the tiger + +315 +00:23:16,180 --> 00:23:18,880 +which is beautiful at the same time it is terrible + +316 +00:23:18,880 --> 00:23:23,040 +it is it is it's deadly terror you know the old + +317 +00:23:23,040 --> 00:23:26,940 +poetry it can be deadly terrorنعم ولكن كلمة قصيدة + +318 +00:23:26,940 --> 00:23:30,980 +كامة، كيف يمكن أن يكون ذلك؟ هل تريد أن تقول إن هذه + +319 +00:23:30,980 --> 00:23:37,180 +الخلقية تخلق شيء قديم؟لا هو في الواقع يقارن ويقارن + +320 +00:23:37,180 --> 00:23:43,880 +نوعا ما، بين القصيدة القديمة اللي هي تجارب جدًا، + +321 +00:23:43,880 --> 00:23:51,200 +تجارب جدًا، تجارب جدًا، تجارب جدًا، تجارب جدًا، + +322 +00:23:51,200 --> 00:23:56,180 +تجارب جدًا، تجارب جدًا، تجارب جدًا، تجارب جدًا، + +323 +00:23:56,180 --> 00:23:56,940 +تجارب جدًا، تجارب جدًا، تجارب جدًا، تجارب جدًا، + +324 +00:23:56,940 --> 00:23:57,140 +تجارب جدًا، تجارب جدًا، تجارب جدًا، تجارب جدًا، + +325 +00:23:57,140 --> 00:24:01,220 +تجارب جدًا، تجارب جدًا، تجارب جدًا، تجارب جدًا، + +326 +00:24:01,220 --> 00:24:06,120 +تجارالشيء اللي يفعله الرسول هو أن يحضر شيء جديد + +327 +00:24:06,120 --> 00:24:16,680 +مرة أخرى يحضر شيء جديد مرة أخرى يحضر شيء + +328 +00:24:16,680 --> 00:24:18,820 +جديد مرة أخرى جديد مرة أخرى جديد مرة أخرى جديد مرة + +329 +00:24:18,820 --> 00:24:19,800 +أخرى جديد مرة أخرى جديد مرة أخرى جديد مرة أخرى + +330 +00:24:19,800 --> 00:24:19,820 +جديد مرة أخرى جديد مرة أخرى جديد مرة أخرى جديد مرة + +331 +00:24:19,820 --> 00:24:19,820 +أخرى جديد مرة أخرى جديد مرة أخرى جديد مرة أخرى + +332 +00:24:19,820 --> 00:24:23,880 +جديد مرة أخرى جديد مرة أخرى جديد + +333 +00:24:27,310 --> 00:24:30,470 +الذين يعملون في الغابات الليلة مثلا نحن نتكلم عن + +334 +00:24:30,470 --> 00:24:33,050 +الحيوانات، الحيوانات الغارية، كما تعلمين مثل + +335 +00:24:33,050 --> 00:24:35,730 +المonsters، الاشياء اللايمينة، كما تعلمين، هذا ما + +336 +00:24:35,730 --> 00:24:39,170 +نتكلم عنه، وكما تعلمين، لا أحد يقترب من حيوانات + +337 +00:24:39,170 --> 00:24:42,930 +محطمة في الغابة، إنها مظلمة، ونحن لدينا الليلة + +338 +00:24:42,930 --> 00:24:46,010 +التي دائما مرتبطة بإيذن + +339 +00:24:49,860 --> 00:24:55,880 +هو مثلًا، هذا يتعامل مع الشركات التي تغير حياة + +340 +00:24:55,880 --> 00:25:00,940 +المدينة، لكنها كانت مثلًا، نعم، تغير حياة المدينة، + +341 +00:25:00,940 --> 00:25:05,240 +لكن كيف؟ فهو قد يتعامل معها. إذا ماذا مرة أخرى، + +342 +00:25:05,240 --> 00:25:08,380 +يوم الموت أو عين؟ هذا هو يوم الموت وعين الفلسفة. + +343 +00:25:08,680 --> 00:25:11,700 +لأننا ذكرنا قبل الكثير من الوقت بأن الفلسفة تموت + +344 +00:25:11,700 --> 00:25:12,500 +الأشياء. + +345 +00:25:15,020 --> 00:25:18,220 +دعونا نرى، دعونا نرى آخر صوت من المجتمع. + +346 +00:25:23,170 --> 00:25:28,530 +شكرا جزيلا. لكن هم يعملون يد موتى؟ وإذا كنت تبدوا + +347 +00:25:28,530 --> 00:25:32,090 +مثل تاجر تاجر برنينج برايت. إنها مثل عملية جدًا. + +348 +00:25:32,770 --> 00:25:36,430 +إنها مثل سيارة يذهب. وإذا كنت تنظر حتى إلى + +349 +00:25:36,430 --> 00:25:40,030 +الرhythm. أنت تعرف أنها ميكانيكالية. يتعلق على صوت + +350 +00:25:40,030 --> 00:25:44,350 +السيارة. لأنه يهاجم السيارة. تاجر تاجر تاجر برنينج + +351 +00:25:44,350 --> 00:25:48,850 +برايت. إنها سيارة مثل تك تك تك. نعم نعم أرجوك. + +352 +00:25:49,890 --> 00:25:51,690 +لذلك نعم, يمكنك أن تقوم بالدعم. + +353 +00:25:57,910 --> 00:26:02,950 +ماذا عن الأشياء الأخرى؟ + +354 +00:26:24,680 --> 00:26:31,140 +عن كلمة immortal كإنشاء الله أو شيء ما قلته ولكن + +355 +00:26:31,140 --> 00:26:34,520 +ربما كانت كيف كان الناس في ذلك الوقت كانوا ينظروا + +356 +00:26:34,520 --> 00:26:38,000 +إلى التطور الدولي والأجهزة وشركتهم وكانوا يعتبروا + +357 +00:26:38,000 --> 00:26:42,820 +شيء مثل Supernatural لذلك كانوا يبدأوا يعبدوه + +358 +00:26:42,820 --> 00:26:47,380 +ويكونوا مهتمين بالمنطقة والطبيعة. لذا قد يكون + +359 +00:26:47,380 --> 00:26:51,980 +الامورتل مفهوم للتطور الدولي وكيف كان الناس ينظروا + +360 +00:26:51,980 --> 00:26:52,040 +له + +361 +00:27:02,640 --> 00:27:07,220 +Go ahead. What the hammer? What the chain? In what + +362 +00:27:07,220 --> 00:27:10,820 +furnace was thy brain? What the anvil? What red + +363 +00:27:10,820 --> 00:27:14,180 +grass? There it's dead little grass + +364 +00:27:17,270 --> 00:27:25,070 +هذا يعني .. انظر هنا .. عندما السحر يسحرون أسلحة و + +365 +00:27:25,070 --> 00:27:28,410 +يدفعونها إلى السماء .. كأن السماء .. يبدو أن + +366 +00:27:28,410 --> 00:27:32,190 +المخلوقات السماوية غاضبة بسبب هذا + +367 +00:27:35,550 --> 00:27:41,050 +وانتجوا الحيوانات وبدأوا يبكوا ويشعروا بذلك لأنها + +368 +00:27:41,050 --> 00:27:49,030 +تحرر حياة الإنسان، تغييرها، إنسانية، فهو شيء عظيم + +369 +00:27:49,030 --> 00:27:54,500 +جدًاهو يسبب حتى الجهة لتشارك مع الناس الانسانية. + +370 +00:27:54,660 --> 00:27:57,220 +لكن يمكن أن يكون أيضًا مصطلح. حسنًا، نعم، هناك، + +371 +00:27:57,220 --> 00:27:59,860 +أنا؟ يمكن أن يكون مصطلح الـ Hammer and the Chain + +372 +00:27:59,860 --> 00:28:04,660 +ليس فقط للتطور الهجومي، ولكن أيضًا للطوات مثل الـ + +373 +00:28:04,660 --> 00:28:09,330 +Hammer and the Chain هي الطوات مثل الـيعني he + +374 +00:28:09,330 --> 00:28:11,630 +could have used pen and you know he could have + +375 +00:28:11,630 --> 00:28:16,370 +used them or he could have hinted to that متفارقة + +376 +00:28:16,370 --> 00:28:17,270 +متفارقة + +377 +00:28:30,550 --> 00:28:33,510 +التكتب كما تعلمين هو أثارة جيدة لتقريرنا + +378 +00:28:33,510 --> 00:28:44,110 +السيبوليكية يمكن أنه يستخدم الكلمات وحساسات الوقت + +379 +00:28:44,110 --> 00:28:48,410 +وفترة قبلها لإطلاقهم لسببهم + +380 +00:28:50,020 --> 00:28:53,660 +مثل عقلية وانتفارية وانتفارية وانتفارية وانتفارية + +381 +00:28:53,660 --> 00:28:59,900 +وانتفارية وانتفارية وانتفارية وانتفارية وانتفارية + +382 +00:28:59,900 --> 00:29:03,640 +وانتفارية + +383 +00:29:03,640 --> 00:29:08,900 +وانتفارية + +384 +00:29:08,940 --> 00:29:16,720 +بسبب أننا نتكلم عن شيء يتجاوز ضد الخالق ومن هو + +385 +00:29:16,720 --> 00:29:22,540 +المخلوق اللي يتجاوز ضد الخالق هو سيطان، لذا هذا + +386 +00:29:22,540 --> 00:29:28,220 +سيطانيك، لدينا مخلوق يتجاوز ضد الخالق، لأن هنا + +387 +00:29:28,220 --> 00:29:29,020 +كلمة dare + +388 +00:29:39,140 --> 00:29:41,440 +هذا ما اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا + +389 +00:29:41,440 --> 00:29:42,380 +اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا + +390 +00:29:42,380 --> 00:29:44,080 +اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا + +391 +00:29:44,080 --> 00:29:45,420 +اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا + +392 +00:29:45,420 --> 00:29:48,560 +اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا + +393 +00:29:48,560 --> 00:29:53,940 +اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا + +394 +00:29:53,940 --> 00:29:58,060 +اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا + +395 +00:29:58,060 --> 00:30:06,500 +اصلا اصلا اصلا اصلا اصلا اص + +396 +00:30:15,600 --> 00:30:20,320 +ولكن ماهي أكتر صحيحة من الـ Spears؟ لأنها جزء من + +397 +00:30:20,320 --> 00:30:20,760 +اللقاء الصحيح + +398 +00:30:25,700 --> 00:30:34,540 +ونعرف أن هذا .. أعتقد أنه كتاب باستخدام أكتر من + +399 +00:30:34,540 --> 00:30:41,080 +الأجهزة الروحانية التي تستخدمها الناي كلاسيقالhow + +400 +00:30:41,080 --> 00:30:44,140 +about .. he's using both diction, he's using the + +401 +00:30:44,140 --> 00:30:47,400 +aspiring, the emotional words and he's also using + +402 +00:30:47,400 --> 00:30:50,320 +the bad and .. and you know hammer and all these + +403 +00:30:50,320 --> 00:30:53,900 +to draw a comparison, which one do you prefer? do + +404 +00:30:53,900 --> 00:30:58,080 +you prefer the imagination and the .. you know the + +405 +00:30:58,080 --> 00:30:59,500 +beautiful beautified + +406 +00:31:04,490 --> 00:31:07,210 +الجبهة قالت عندما أسلحة أسقطت أسلحة أسلحة أسلحة + +407 +00:31:07,210 --> 00:31:08,690 +أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة + +408 +00:31:08,690 --> 00:31:10,970 +أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة + +409 +00:31:10,970 --> 00:31:11,930 +أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة + +410 +00:31:11,930 --> 00:31:12,270 +أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة أسلحة + +411 +00:31:12,270 --> 00:31:18,450 +أسلحة أسلحة أسلحة أسلحة أسلحة + +412 +00:31:18,450 --> 00:31:22,670 +أسلحة + +413 +00:31:22,670 --> 00:31:22,930 +أ + +414 +00:31:25,710 --> 00:31:33,270 +وهو يسمع عمله ليرى أن الله يسمع للإنجلاء اللي + +415 +00:31:33,270 --> 00:31:39,510 +كانوا مفاجئين عندما كانوا مخاطرينه وهذا أيضًا يمكن + +416 +00:31:39,510 --> 00:31:43,490 +أن يكون موضوع عن الإنسان عندما يكون الإنسان مخاطر + +417 +00:31:43,490 --> 00:31:48,870 +عن الله سيكون في الجنةأنا أفضل أفضل أفضل أفضل أفضل + +418 +00:31:48,870 --> 00:31:52,630 +أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل + +419 +00:31:52,630 --> 00:31:59,250 +أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل + +420 +00:31:59,250 --> 00:31:59,950 +أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل + +421 +00:31:59,950 --> 00:31:59,950 +أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل + +422 +00:31:59,950 --> 00:32:02,510 +أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل أفضل + +423 +00:32:02,510 --> 00:32:05,330 +أفضل أف + +424 +00:32:11,150 --> 00:32:14,590 +وانت قلت ان السيارات .. مثلًا في ميلتون باراديس + +425 +00:32:14,590 --> 00:32:19,550 +لوس، الأنجل استخدموا السيارات لقضاء أخرى أنجل ومن + +426 +00:32:19,550 --> 00:32:20,910 +ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن + +427 +00:32:20,910 --> 00:32:21,190 +ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن + +428 +00:32:21,190 --> 00:32:22,650 +ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن + +429 +00:32:22,650 --> 00:32:22,830 +ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن + +430 +00:32:22,830 --> 00:32:22,910 +ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن + +431 +00:32:22,910 --> 00:32:23,050 +ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن + +432 +00:32:23,050 --> 00:32:27,880 +ثم .. ومن ثم .. ومن ثم .. ومن ثم .. ومن ثانها كلها + +433 +00:32:27,880 --> 00:32:32,580 +تتحدث عن الجانب السيئ من الكتابة. نعم الجانب السيئ + +434 +00:32:32,580 --> 00:32:38,720 +من لا يكون هناك فكرة في كتابتك، من إزالة كل نوع من + +435 +00:32:38,720 --> 00:32:43,280 +الفكرة. ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا + +436 +00:32:43,280 --> 00:32:43,280 +ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا + +437 +00:32:43,280 --> 00:32:43,660 +ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا + +438 +00:32:43,660 --> 00:32:43,720 +ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا + +439 +00:32:43,720 --> 00:32:45,180 +ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكوا + +440 +00:32:45,180 --> 00:32:55,770 +ومن يبكوا ومن يبكوا ومن يبكوا ومن يبكيف؟ كيف تغيّر + +441 +00:32:55,770 --> 00:32:59,350 +الرواية الرومانية في حياته؟ سأخبرك .. كيف .. كيف + +442 +00:32:59,350 --> 00:33:02,610 +.. دعني أقول شيء جيد عن كيف تغيّر الرواية + +443 +00:33:02,610 --> 00:33:04,070 +الرومانية في حياته؟ كيف تغيّر الرواية الرومانية في + +444 +00:33:04,070 --> 00:33:04,610 +حياته؟ كيف تغيّر الرواية الرومانية في حياته؟ كيف + +445 +00:33:04,610 --> 00:33:05,810 +تغيّر الرواية الرومانية في حياته؟ كيف تغيّر + +446 +00:33:05,810 --> 00:33:06,230 +الرواية الرومانية في حياته؟ كيف تغيّر الرواية + +447 +00:33:06,230 --> 00:33:06,810 +الرومانية في حياته؟ كيف تغيّر الرواية الرومانية في + +448 +00:33:06,810 --> 00:33:10,830 +حياته؟ كيف تغيّر الرواية الرومانية في حياته؟ كيف + +449 +00:33:10,830 --> 00:33:16,970 +تغيّر الرواية الرومانية في حياته + +450 +00:33:23,060 --> 00:33:26,400 +أعطوني شيء واحد فقط لتشير إلى أن التفكير الروماني + +451 +00:33:26,400 --> 00:33:30,820 +تتغير أو تغير حياة الناس الإنجليزية للرومانيين. + +452 +00:33:30,820 --> 00:33:33,680 +بالطبع، بالطبع، اتغيرت وكانت مهمة. إذا لم يكن + +453 +00:33:33,680 --> 00:33:37,840 +كذلك، لن ندرسها الآن. و لن ندرسها أيضًا. و لن ندرس + +454 +00:33:37,840 --> 00:33:41,160 +دورة رومانية كامة. أعتقد أن الشيء اللي قلت لنا هو + +455 +00:33:41,160 --> 00:33:44,380 +أن العمر الروماني كان عارفًا للرومانية. و هذا + +456 +00:33:44,380 --> 00:33:48,720 +مثلًا، أعتقد أن السيدة أحلام تريد أن تشارك معي أن + +457 +00:33:48,720 --> 00:33:51,480 +العمر الروماني لم يكن رومانيًا. و هذا هو الفترة + +458 +00:33:51,480 --> 00:33:56,770 +العظيمة.لكن كانوا يتكلمون عنها لأنهم لميعجبوا منها + +459 +00:33:56,770 --> 00:34:00,470 +في حياتهم الحقيقية لذلك أرادوا أن يخلصوا منها من + +460 +00:34:00,470 --> 00:34:05,090 +هنا إذا كنا نتكلم عن تطورات كما تعلمين تطورات + +461 +00:34:05,090 --> 00:34:08,310 +قصائدية نعم مثلا كانت مدهشة جدا لكنه لم يكن تكون + +462 +00:34:08,310 --> 00:34:12,190 +تطورة لم يكتشف أعماله في ذلك الوقت إذا كانت كتشفها + +463 +00:34:12,190 --> 00:34:15,750 +فكانت تطورة في نفس الوقت لكن هو مثلًا .. لأنه كان + +464 +00:34:15,750 --> 00:34:18,470 +خطير أخبرني عن قصيدة كتشف أعمالها بينما كان .. + +465 +00:34:18,470 --> 00:34:20,250 +بالضبط نعم أكتشف أكتشف أغلب القصائد + +466 +00:34:23,490 --> 00:34:27,250 +Okay، it seems like we have one question. They + +467 +00:34:27,250 --> 00:34:29,770 +don't know that those who raise questions they + +468 +00:34:29,770 --> 00:34:33,790 +gain marks.انت ترى اذا كنت .. اذا انا اضيف واحد + +469 +00:34:33,790 --> 00:34:37,610 +مارك لرنان انا اضيف واحد مارك لمن؟ مثلا، نعم، هم + +470 +00:34:37,610 --> 00:34:40,570 +يحصلوا على دو مارك، لذا انت لا تعرفين، انا .. انا + +471 +00:34:40,570 --> 00:34:44,970 +كنت .. حسنًا، انت تدعم او .. انت تدعم اي شركة، انت + +472 +00:34:44,970 --> 00:34:47,910 +تحصل على اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف + +473 +00:34:47,910 --> 00:34:47,910 +اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف + +474 +00:34:47,910 --> 00:34:47,930 +اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف اكتشاف + +475 +00:34:47,930 --> 00:34:55,450 +اكتشاف اكتشاف اكتشاف اك + +476 +00:34:56,030 --> 00:35:01,990 +الان اعتقدت انها تأخذ المدرسة قد + +477 +00:35:01,990 --> 00:35:07,710 +يكون + +478 +00:35:07,710 --> 00:35:16,070 +من أخر مدرسة او اخر مدرسة او اخر مدرسةأو ربما هو + +479 +00:35:16,070 --> 00:35:23,370 +يتكلم عن الاندوسترالية، وفقًا لهذه الكلمات، انت + +480 +00:35:23,370 --> 00:35:26,090 +حقًا .. انت .. انت .. انت .. انت .. انت .. انت .. + +481 +00:35:26,090 --> 00:35:27,190 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +482 +00:35:27,190 --> 00:35:27,550 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +483 +00:35:27,550 --> 00:35:28,770 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +484 +00:35:28,770 --> 00:35:29,870 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +485 +00:35:29,870 --> 00:35:29,870 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +486 +00:35:29,870 --> 00:35:30,630 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +487 +00:35:30,630 --> 00:35:30,630 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +488 +00:35:30,630 --> 00:35:34,970 +انت .. انت .. انت .. انت .. انت .. انت .. انت .. + +489 +00:35:38,960 --> 00:35:43,580 +أنا أريد أن أشرح هذا الموضوع نفسي فرن حاول أن + +490 +00:35:43,580 --> 00:35:49,060 +يتحرك في شركة تسمى اليوم product which is time and + +491 +00:35:49,060 --> 00:35:54,940 +effort فإن قوة هذه الماكينات تعمل كل يوم بدون توقف + +492 +00:35:54,940 --> 00:36:00,580 +وما ترى مورتال هاتور ايه يسمونه الانفجارين إسمهم + +493 +00:36:00,580 --> 00:36:04,960 +مازالت مذكورة حتى اليوم لذا إسمهم مورتال هاتور ايه + +494 +00:36:04,960 --> 00:36:11,150 +مظهرهم انتقالهذه الجانحة الاندرويدية لديها جانحة + +495 +00:36:11,150 --> 00:36:13,550 +جيدة وجانحة سيئة الجانحة الجيدة هي الجانحة الجيدة + +496 +00:36:13,550 --> 00:36:13,830 +هي الجانحة الجيدة هي الجانحة الجيدة هي جانحة جيدة + +497 +00:36:13,830 --> 00:36:15,210 +هي جانحة جيدة هي جانحة جيدة هي جانحة جيدة هي جانحة + +498 +00:36:15,210 --> 00:36:15,750 +جيدة هي جانحة جيدة هي جانحة جيدة هي جانحة جيدة هي + +499 +00:36:15,750 --> 00:36:15,950 +جانحة جيدة هي جانحة جيدة هي جانحة جيدة هي جانحة + +500 +00:36:15,950 --> 00:36:17,150 +جيدة هي جانحة جيدة هي جانحة جيدة هي جانحة جيدة هي + +501 +00:36:17,150 --> 00:36:18,110 +جانحة جيدة هي جانحة جيدة هي جانحة جيدة هي جانحة + +502 +00:36:18,110 --> 00:36:24,880 +جيدة هي جانحة جيدة هي جشكرا شكرا للمدعمة هل أحد + +503 +00:36:24,880 --> 00:36:28,920 +يريد أن يدعم فريق أخر مثلا أعتقد أن أولا دعمهم؟ + +504 +00:36:28,920 --> 00:36:32,780 +نعم فقط أريد أن أقول إن سيدجام قد إبتديت إلى + +505 +00:36:32,780 --> 00:36:36,960 +التعامل مع البرنامج التي قالت إن هذا البرنامج + +506 +00:36:36,960 --> 00:36:45,160 +يتعلق بالتطور مهما كانت التطور ضد التطور الدولي أو + +507 +00:36:45,160 --> 00:36:54,130 +ضدلكن هنا نحن نتناقض، نريد أن نتواجه، أعتقد أنها + +508 +00:36:54,130 --> 00:36:59,910 +تعطينا حصة عندما تتواجه لأنها تعطينا حصة و كنت + +509 +00:36:59,910 --> 00:37:04,030 +سعيد جدا عندما بدأت بفعل ذلك لأنها تعطينا حصة من + +510 +00:37:04,030 --> 00:37:10,240 +البدايةشكرا جزيلا لك. كانت حاجة ممتعة جدا. + +511 +00:37:15,220 --> 00:37:19,100 +أريد أن أقول إن وليان بلايك كان معروفًا لأنه كان + +512 +00:37:19,100 --> 00:37:23,120 +مؤثرًا على مصطلح تقليدي اللي هو الرب العربي. + +513 +00:37:23,700 --> 00:37:27,460 +ونستطيع أن نرى ذلك، على سبيل المثال، القنبلة ومسار + +514 +00:37:27,460 --> 00:37:30,340 +القنبلة، في الواقع، كانت تتصرف إلى إله جريم يسمونه + +515 +00:37:30,340 --> 00:37:36,200 +الـ Hypathos، أعتقد أنه كان إله مخدراء يصنعون + +516 +00:37:36,200 --> 00:37:42,560 +أسلحة لإلهات أخرى، وكانوا يدفعونه لعقله، ثم أيضًا، + +517 +00:37:42,560 --> 00:37:44,700 +من يرى النار، يستطيع أن يتصرف أيضًا إلى الـ + +518 +00:37:44,700 --> 00:37:49,370 +Prometheusعندما يرى النار على الإنسان مرة أخرى هي + +519 +00:37:49,370 --> 00:37:54,110 +قوة زيوز و أيضًا الأسلحة يمكن أن تكون تسميها أكيوس + +520 +00:37:54,110 --> 00:37:57,210 +أو شيء .. هذا يمكن أن يكون استخدامه ضدك لأن .. لا + +521 +00:37:57,210 --> 00:38:00,510 +ليس ضدي أنا .. إنه استخدام .. إنه وقت كلاسيكي، هذا + +522 +00:38:00,510 --> 00:38:03,910 +كل ما كانوا مركزين عليه، ربما يحاول استخدام هذا + +523 +00:38:03,910 --> 00:38:08,330 +لإطلاقهم، لأن أكتر من كتابتهم استخدمت الكثير من + +524 +00:38:08,330 --> 00:38:12,190 +هذه .. لا ولكنه يستخدم .. لا هو يستخدم مهمة + +525 +00:38:12,190 --> 00:38:13,250 +تقليدية جدًا + +526 +00:38:17,760 --> 00:38:25,200 +أنا أحب أن أخلق هذه الحاجة الجميلة ولكن مرة أخرى + +527 +00:38:25,200 --> 00:38:29,780 +شكرا جزيلا للمساعدة و أريد أن أخبرك أن أنا و أحلام + +528 +00:38:29,780 --> 00:38:39,820 +نقل نظرية أن هذا مجرد فكرة كتابةو كما قلت لك، أنا + +529 +00:38:39,820 --> 00:38:41,560 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +530 +00:38:41,560 --> 00:38:42,920 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +531 +00:38:42,920 --> 00:38:44,460 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +532 +00:38:44,460 --> 00:38:45,460 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +533 +00:38:45,460 --> 00:38:46,600 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +534 +00:38:46,600 --> 00:38:46,980 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +535 +00:38:46,980 --> 00:38:47,320 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +536 +00:38:47,320 --> 00:38:47,320 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +537 +00:38:47,320 --> 00:38:51,480 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +538 +00:38:51,480 --> 00:38:54,220 +.. انا .. انا .. انا .. انا .. انا .. انا .. انا + +539 +00:38:54,220 --> 00:38:58,640 +.. انا ..أنا أعتقد بشكل صحيح أنه يتعلق بالتطور + +540 +00:38:58,640 --> 00:39:02,800 +التجاربي و لا نهتم بذلك فقط كأنه يمنحنا الوثيقة + +541 +00:39:02,800 --> 00:39:08,380 +انه يتعلق بالتطور التجاربي بطريقة مباشرة ولكن + +542 +00:39:08,380 --> 00:39:13,710 +بطريقة مباشرة بشكل بوتيكOkay, yeah, so it is + +543 +00:39:13,710 --> 00:39:17,250 +figurative and you know literal, but again I think + +544 +00:39:17,250 --> 00:39:21,230 +the BBC interpretation like a couple of years ago + +545 +00:39:21,230 --> 00:39:23,730 +I brought this BBC, do you remember when I brought + +546 +00:39:23,730 --> 00:39:27,150 +the BBC interpretation and like most of the + +547 +00:39:27,150 --> 00:39:30,310 +critics like asserted that it was about industrial + +548 +00:39:30,310 --> 00:39:34,350 +revolution which I didn't like and I tried like to + +549 +00:39:34,350 --> 00:39:36,770 +bring interpretation which was quite different. + +550 +00:39:37,390 --> 00:39:38,130 +Yes, the last? + +551 +00:39:43,070 --> 00:39:48,270 +بالطبع يمكنك اختيار اي واحد منهم، ولكن مرة أخرى + +552 +00:39:48,270 --> 00:39:53,010 +يجب أن تذهب و تحضر معلومات لتستثمر في كل ما تريد + +553 +00:39:53,010 --> 00:39:55,810 +ان تقوله. شكرا جزيلا للمساعدة. شكرا مسحلام. + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/kqLN7IsyDI4_raw.json b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/kqLN7IsyDI4_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..8f4511480447d914bc1daafca66b4528095789bf --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/kqLN7IsyDI4_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2554, "start": 12.3, "end": 25.54, "text": "السلام عليكم Good morning everybody How are you today? 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"end": 535.08, "text": "مثلًا، لا يوجد هذه الحرمانية، ربما لأنه لا يوجد حرمانية في تجارب الكتابة، هل تفهمين ما أقصد؟ أتذكر في ويلفريد أوين، Futility، كان يستخدم حرمانية غير مناسبة، كان يستخدم حرمانية عينية، ولماذا؟ لأنه لم يرى طريقة في حياته، لذلك لم يرغب في التقوم بطريقة كتابة", "tokens": [2304, 12984, 1211, 14111, 995, 12399, 20193, 7251, 29245, 3215, 8032, 8848, 3224, 21542, 2288, 2304, 7649, 10632, 12399, 12602, 3555, 15042, 5296, 33456, 3224, 20193, 7251, 29245, 3215, 11331, 2288, 2304, 7649, 10632, 8978, 6055, 7435, 9640, 3555, 33251, 2655, 16758, 3660, 12399, 8032, 1211, 6055, 5172, 16095, 9957, 19446, 5551, 4587, 9381, 3215, 22807, 5551, 2655, 8848, 37983, 8978, 4032, 26895, 5172, 16572, 3215, 34051, 9957, 12399, 479, 325, 1140, 12399, 25961, 7251, 14851, 9778, 40448, 11331, 2288, 2304, 7649, 10632, 32771, 13546, 3714, 8315, 35457, 3660, 12399, 25961, 7251, 14851, 9778, 40448, 11331, 2288, 2304, 7649, 10632, 6225, 9957, 10632, 12399, 4032, 19528, 45636, 995, 22807, 5296, 33456, 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So what do you think? Placed and passed. Placed and passed. They are not almost .. yeah there is something similar but it is not a perfect rhyme. 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"text": "هو تجربة المفاجأة بسبب حرور الحرب نفسها، لذلك أحيانًا يكون هناك نوع من الـ rhyme يتفاوت مع معنى القوة، حسنًا؟ سنذهب الآن إلى منطقة مشكلة، وهو الرhythm، وعشان بعضكم مخيفين بسبب الرhythm؟", "tokens": [3224, 2407, 6055, 7435, 25513, 3660, 9673, 5172, 26108, 10721, 3660, 4724, 35457, 3555, 11331, 2288, 13063, 21542, 25513, 8717, 36178, 11296, 12399, 5296, 8848, 23275, 5551, 5016, 1829, 7649, 14111, 995, 7251, 30544, 34105, 4117, 8717, 45367, 9154, 2423, 39184, 34753, 7251, 2655, 5172, 995, 35473, 20449, 20449, 1863, 7578, 25062, 2407, 3660, 12399, 11331, 3794, 1863, 14111, 995, 22807, 8608, 1863, 24192, 3555, 6024, 48506, 30731, 9154, 9566, 28671, 37893, 28820, 3660, 12399, 37037, 2407, 34892, 34494, 12399, 4032, 3615, 8592, 7649, 45030, 11242, 24793, 3714, 9778, 33911, 9957, 4724, 35457, 3555, 34892, 34494, 22807], "avg_logprob": -0.595663278686757, "compression_ratio": 1.5960591133004927, "no_speech_prob": 0.0, "words": [{"start": 1085.63, "end": 1085.89, "word": "هو", 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Not okay? Are you excited like the semester is over?", "tokens": [3794, 37440, 25894, 24793, 2205, 2446, 2201, 1012, 390, 264, 6711, 30, 1726, 1392, 30, 2014, 291, 2919, 411, 264, 11894, 307, 670, 30], "avg_logprob": -0.2759375095367432, "compression_ratio": 1.0265486725663717, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 12.62, "end": 13.6, "word": "سلام", "probability": 0.59893798828125}, {"start": 13.6, "end": 14.06, "word": " عليكم", "probability": 0.93603515625}, {"start": 14.06, "end": 15.5, "word": " Good", "probability": 0.12030029296875}, {"start": 15.5, "end": 15.7, "word": " morning", "probability": 0.8603515625}, {"start": 15.7, "end": 16.16, "word": " everybody", "probability": 0.8037109375}, {"start": 16.16, "end": 18.22, "word": " How", "probability": 0.460693359375}, {"start": 18.22, "end": 18.38, "word": " was", "probability": 0.96630859375}, {"start": 18.38, "end": 18.52, "word": " the", "probability": 0.9267578125}, {"start": 18.52, "end": 19.02, "word": " 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"probability": 0.9764404296875}, {"start": 1401.64, "end": 1401.64, "word": " او", "probability": 0.801513671875}, {"start": 1401.64, "end": 1401.64, "word": " تتحرك", "probability": 0.970947265625}, {"start": 1401.64, "end": 1401.64, "word": " او", "probability": 0.8173828125}, {"start": 1401.64, "end": 1401.64, "word": " تتحرك", "probability": 0.958740234375}, {"start": 1401.64, "end": 1401.64, "word": " او", "probability": 0.832763671875}, {"start": 1401.64, "end": 1401.64, "word": " تتحرك", "probability": 0.939208984375}, {"start": 1401.64, "end": 1401.64, "word": " او", "probability": 0.849365234375}, {"start": 1401.64, "end": 1401.64, "word": " تتحرك", "probability": 0.91357421875}, {"start": 1401.64, "end": 1401.64, "word": " او", "probability": 0.866943359375}, {"start": 1401.64, "end": 1401.64, "word": " تتحرك", "probability": 0.8863525390625}, {"start": 1401.64, "end": 1401.86, "word": " او", "probability": 0.882080078125}, {"start": 1401.86, "end": 1401.86, "word": " تحرك", 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كما قلنا إستيقاظ هو مشكلة، هل هو مستيقظ أو مات؟ وك مجرد مجرد شجرة عظيمة، هذا مثل متفارقة جيدة", "tokens": [1863, 5016, 1863, 5296, 16254, 8315, 6055, 1863, 3794, 1829, 4587, 12399, 5296, 8848, 23275, 5551, 34268, 28543, 14739, 4117, 37279, 19528, 9957, 34105, 4032, 4117, 5296, 33456, 3224, 3714, 25720, 5551, 34740, 7578, 7251, 9381, 1863, 3615, 23032, 16572, 28671, 20449, 11933, 14851, 1829, 4587, 5718, 116, 12399, 37279, 28480, 9957, 22807, 12602, 10721, 1829, 33688, 14851, 1829, 4587, 5718, 116, 12399, 5296, 33456, 34105, 9122, 15042, 12174, 1211, 8315, 11933, 14851, 1829, 4587, 5718, 116, 31439, 37893, 28820, 3660, 12399, 8032, 1211, 31439, 3714, 14851, 1829, 4587, 19913, 34051, 3714, 9307, 22807, 4032, 4117, 3714, 7435, 2288, 3215, 3714, 7435, 2288, 3215, 13412, 7435, 25720, 6225, 19913, 32640, 3660, 12399, 23758, 50113, 1211, 44650, 5172, 9640, 28671, 10874, 25708, 3660], "avg_logprob": -0.6488820866840642, "compression_ratio": 1.8564356435643565, "no_speech_prob": 0.0, "words": 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"word": " الأرض", "probability": 0.98388671875}, {"start": 1460.05, "end": 1461.87, "word": " لذلك", "probability": 0.621826171875}, {"start": 1461.87, "end": 1462.49, "word": " مات", "probability": 0.585693359375}, {"start": 1462.49, "end": 1463.87, "word": " جنس", "probability": 0.24609375}, {"start": 1463.87, "end": 1464.99, "word": " يجعله", "probability": 0.7100830078125}, {"start": 1464.99, "end": 1465.63, "word": " يسأل", "probability": 0.884521484375}, {"start": 1465.63, "end": 1467.25, "word": " المعنى", "probability": 0.909912109375}], "temperature": 1.0}, {"id": 55, "seek": 149461, "start": 1468.55, "end": 1494.61, "text": "حياة عامة كزمك حياة عامة كزمك كيف بدأت تفكر في كيف كانت تعمل مرة واحدة كليز من شجرة عظيمة و بعدها رحلتنا قصيرة حصلت على رحلتنا محطمة كامة مازلت حارة جدا جدا جدا جدا جدا", "tokens": [5016, 25528, 3660, 6225, 10943, 3660, 9122, 11622, 2304, 4117, 11331, 25528, 3660, 6225, 10943, 3660, 9122, 11622, 2304, 4117, 9122, 33911, 47525, 10721, 2655, 6055, 5172, 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يوم", "probability": 0.5631103515625}, {"start": 2274.43, "end": 2274.75, "word": " الصيف", "probability": 0.6287841796875}, {"start": 2274.75, "end": 2275.63, "word": " وشهور", "probability": 0.43889617919921875}, {"start": 2275.63, "end": 2276.37, "word": " شكرا", "probability": 0.7693684895833334}, {"start": 2276.37, "end": 2276.53, "word": " جزيلا", "probability": 0.75164794921875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2278.10975, "duration_after_vad": 2177.688468749993} \ No newline at end of file diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/m2X-nrCJgYQ_raw.srt b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/m2X-nrCJgYQ_raw.srt new file mode 100644 index 0000000000000000000000000000000000000000..38b3bae2f17d0862f91187bbf4db987c14a91feb --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/m2X-nrCJgYQ_raw.srt @@ -0,0 +1,2132 @@ +1 +00:00:10,780 --> 00:00:15,600 +again for another poetry class so but let me + +2 +00:00:15,600 --> 00:00:21,620 +welcome all of you again today today's class is a + +3 +00:00:21,620 --> 00:00:25,440 +new poem it's about a new poem a new poet + +4 +00:00:28,970 --> 00:00:33,930 +ولكن في نفس الوقت، لذا اليوم سنشاهد كريستوفر + +5 +00:00:33,930 --> 00:00:41,250 +مارلو، واحد من أكتر أشهر كتابة وكتابات مصرية + +6 +00:00:41,250 --> 00:00:45,470 +ومصرية، كما تعلمون، كتابين أو كتابين + +7 +00:00:50,180 --> 00:00:56,440 +ولكن جهة اليوم ستكون مختلفة قليلاً مختلفة في أنني + +8 +00:00:56,440 --> 00:01:00,840 +لن أكتشف القصة في التفاصيل اليوم ولكن أفضل أن أخلق + +9 +00:01:00,840 --> 00:01:08,860 +مجال يمكن أن يظهر المعاملات المرتبطة للقصة نفسها + +10 +00:01:08,860 --> 00:01:12,360 +كالعادة + +11 +00:01:12,360 --> 00:01:18,710 +سنبدأ بالإستماع إلى واحد أو اثنى مقالثم احد او + +12 +00:01:18,710 --> 00:01:25,350 +اثنى اجابات في الكتابة كما اذا تذكرين بعد ذلك + +13 +00:01:25,350 --> 00:01:30,470 +سنحضر محادثة مثل ال .. كما تعلمين او انا احضر مجلس + +14 +00:01:30,470 --> 00:01:36,450 +هنا كما تعلمين نحضر مجلس مثلك هنا مجلس كثير من + +15 +00:01:36,450 --> 00:01:40,130 +الناس وانت تحديث وانا سأكون في الموسيقى فقط حاول + +16 +00:01:40,130 --> 00:01:43,610 +ان .. كما تعلمين احضر محادثة + +17 +00:01:46,580 --> 00:01:50,440 +and perhaps try to make you yeah it would be a + +18 +00:01:50,440 --> 00:01:55,340 +nice idea like to have a panel here yes okay this + +19 +00:01:55,340 --> 00:01:58,280 +is today's class hopefully this will be a + +20 +00:01:58,280 --> 00:02:03,420 +springboard for next class okay so today we're not + +21 +00:02:03,420 --> 00:02:07,200 +going to go deeper into the you know the + +22 +00:02:07,200 --> 00:02:08,840 +background the historical background or the + +23 +00:02:08,840 --> 00:02:13,860 +cultural background but we're going like to have a + +24 +00:02:13,860 --> 00:02:18,170 +preparatory class for next class okayGood let's + +25 +00:02:18,170 --> 00:02:22,530 +listen as usual for a report I think you have + +26 +00:02:22,530 --> 00:02:29,690 +never read a report okay good you come here Good + +27 +00:02:29,690 --> 00:02:34,320 +morningAll of us know poetry class start at night, + +28 +00:02:34,700 --> 00:02:38,720 +as usually Mr. Habib comes on the time, then he + +29 +00:02:38,720 --> 00:02:42,660 +select one or two to read their reports, also if + +30 +00:02:42,660 --> 00:02:46,340 +we have a new poem, he will ask one or two to read + +31 +00:02:46,340 --> 00:02:49,680 +their response, after that he begins to explain, + +32 +00:02:50,300 --> 00:02:55,360 +so last class he continued the Spencer's poem, + +33 +00:02:55,720 --> 00:02:59,850 +poem explained, he analyzed all aspects of itAlso + +34 +00:02:59,850 --> 00:03:03,770 +Mrs. Amal comes .. come .. came and shared Mr. + +35 +00:03:03,850 --> 00:03:09,530 +Habib to explain the .. the rhyme of the poem And + +36 +00:03:09,530 --> 00:03:13,070 +a lot of student join with teacher in description + +37 +00:03:13,070 --> 00:03:16,670 +.. in discussion .. in discussion it Finally he + +38 +00:03:16,670 --> 00:03:19,570 +finished the Spencer poem and called us to prepare + +39 +00:03:19,570 --> 00:03:23,410 +a new .. a new one for Marlow and he ordered from + +40 +00:03:23,410 --> 00:03:26,490 +us to try to write response for it in poetic form + +41 +00:03:26,610 --> 00:03:30,850 +he asked us thank you very much you know Amal okay + +42 +00:03:30,850 --> 00:03:34,150 +it's not the message she's mess you know so this + +43 +00:03:34,150 --> 00:03:37,470 +is good news you know for the future not now okay + +44 +00:03:37,470 --> 00:03:40,950 +good thank you very much thank you for having the + +45 +00:03:40,950 --> 00:03:44,070 +courage you know I think you started to write very + +46 +00:03:44,070 --> 00:03:47,510 +well and this is a you know good because I felt + +47 +00:03:47,510 --> 00:03:50,690 +like you've been .. we've been teaching poetry for + +48 +00:03:50,690 --> 00:03:54,600 +I think a month nowalmost like this is the fourth + +49 +00:03:54,600 --> 00:03:59,480 +week and I feel that some students like critique + +50 +00:03:59,480 --> 00:04:02,560 +developed their way of writing you know they + +51 +00:04:02,560 --> 00:04:06,060 +started to see writing like an easier thing okay + +52 +00:04:06,060 --> 00:04:11,180 +still we have the guts to listen to another report + +53 +00:04:11,180 --> 00:04:17,440 +okay yes yes please just come here + +54 +00:04:23,010 --> 00:04:27,590 +it's not a problem, short, laconic, you mean like + +55 +00:04:27,590 --> 00:04:38,170 +.. I ask myself + +56 +00:04:38,170 --> 00:04:41,810 +what I can write, this is indirect question, not + +57 +00:04:41,810 --> 00:04:45,030 +what can I write, you know okayor my feelings + +58 +00:04:45,030 --> 00:04:49,570 +about the last poem it was boring to write about a + +59 +00:04:49,570 --> 00:04:52,810 +past event everyday as you writing a daily report + +60 +00:04:52,810 --> 00:04:56,170 +I sit and imagine how to start attractive report + +61 +00:04:56,170 --> 00:05:01,070 +because I lose my words but it is not true I start + +62 +00:05:01,070 --> 00:05:04,790 +to get new words, new ideas, new imagination then + +63 +00:05:04,790 --> 00:05:11,270 +I realize it is a useful way to develop our + +64 +00:05:11,270 --> 00:05:14,560 +writing and thinkingأجل، شكرا، هذا صحيح، لذلك في + +65 +00:05:14,560 --> 00:05:17,940 +موقع ما، ربما تصل إلى ايه، أنا لا أملك أي شيء + +66 +00:05:17,940 --> 00:05:21,360 +لأكتسب عنه، و بعد ذلك، كما تعلمين، هنا تبدأ النقطة + +67 +00:05:21,360 --> 00:05:24,280 +الخاصة بالخلق. عندما لا تكون لديك موقع، عندما تجد + +68 +00:05:24,280 --> 00:05:31,230 +أن كتابة رابط موضوع مضحك، فتجد أي حقlike to start + +69 +00:05:31,230 --> 00:05:34,610 +with and then to weave your story or your + +70 +00:05:34,610 --> 00:05:38,130 +narrative so this is like the most wonderful thing + +71 +00:05:38,130 --> 00:05:42,590 +about the report plus it is a way to vent out you + +72 +00:05:42,590 --> 00:05:45,810 +know your if you are not happy with something it's + +73 +00:05:45,810 --> 00:05:54,770 +good good yes what response wow like a lot of + +74 +00:05:54,770 --> 00:06:01,260 +people want to respond yes you just gonow I need + +75 +00:06:01,260 --> 00:06:05,840 +like to listen to like several responses why + +76 +00:06:05,840 --> 00:06:09,060 +because this will help you now to vote because + +77 +00:06:09,060 --> 00:06:13,580 +there will be voting whether to go or not to go so + +78 +00:06:13,580 --> 00:06:16,640 +here we'll see how many people who would you know + +79 +00:06:16,640 --> 00:06:20,300 +like say okay I like to go it's good you know and + +80 +00:06:20,300 --> 00:06:23,840 +how many people who like want to say no I'm not + +81 +00:06:23,840 --> 00:06:29,790 +going you know good yes let's seeI'm going to the + +82 +00:06:29,790 --> 00:06:32,570 +valley where the water flow I will use the wall + +83 +00:06:32,570 --> 00:06:35,490 +and the rest I will draw and the candid tears will + +84 +00:06:35,490 --> 00:06:38,370 +melt the snow the picture of happiness I will draw + +85 +00:06:38,370 --> 00:06:41,790 +and for sadness he said no a suitable figures of + +86 +00:06:41,790 --> 00:06:44,890 +speech he draw the natural romantic language used + +87 +00:06:44,890 --> 00:06:47,730 +was suitable for you themes of simplicity and love + +88 +00:06:47,730 --> 00:06:50,890 +that's what he want us to know but for her she + +89 +00:06:50,890 --> 00:06:53,810 +might say bye and go this was a nice poem from + +90 +00:06:53,810 --> 00:06:57,010 +Marlow and what Dr Akram want us to know okay + +91 +00:06:57,010 --> 00:07:01,780 +thank you clap for herنعم، ولكنها تجيبة جيدة مثلما + +92 +00:07:01,780 --> 00:07:06,780 +تتجيب على قصة من قصة، ولكن جيد أنك توصف، كما + +93 +00:07:06,780 --> 00:07:10,980 +تعلمين، الواقعات الخاصة بـPersuasion، كما تعلمين، + +94 +00:07:10,980 --> 00:07:15,360 +بدأت تتكلم عن الإعدادات، الأشياء اللذية التي + +95 +00:07:15,360 --> 00:07:19,560 +وعدته، الحياة الطبيعية، الأشياء الرومانية في + +96 +00:07:19,560 --> 00:07:23,180 +المدينة، جيد، نعم + +97 +00:07:28,810 --> 00:07:33,330 +I will not go okay good answer to .. answer to + +98 +00:07:33,330 --> 00:07:35,210 +what? because they are my relatives but she is not + +99 +00:07:35,210 --> 00:07:40,220 +goingSorry Marlo، I can't go with you in your + +100 +00:07:40,220 --> 00:07:43,280 +world. There is a lot of thing inside me warn me. + +101 +00:07:43,640 --> 00:07:47,500 +This is not acceptable, and in my society this is + +102 +00:07:47,500 --> 00:07:51,100 +not available. My religion forbid that, and I must + +103 +00:07:51,100 --> 00:07:54,940 +accept it. You entice me by something unreal, and + +104 +00:07:54,940 --> 00:07:57,500 +I have been waiting for something greater and + +105 +00:07:57,500 --> 00:08:00,160 +glorious. I am with you that these are + +106 +00:08:00,160 --> 00:08:03,360 +unattractive things, but I try to make myself away + +107 +00:08:03,360 --> 00:08:08,390 +from it.انت شخص محبوب و روماني، ولكن انا احاول ان + +108 +00:08:08,390 --> 00:08:13,930 +اكون شخص حقيقي، انا مسلمة، لذا يجب ان احترم + +109 +00:08:13,930 --> 00:08:19,610 +إسلامي، الله حرمت هذا الوظيفة، لذا يجب ان اتبع + +110 +00:08:19,610 --> 00:08:23,110 +أمره، لذا حاول ان تغفرني، لا يمكنني أن أعيش، على + +111 +00:08:23,110 --> 00:08:27,830 +الأقل سوف احصل على محيط و محيط، الله جعله لناwow + +112 +00:08:27,830 --> 00:08:31,450 +good thank you very much I think she succeeded in + +113 +00:08:31,450 --> 00:08:34,550 +persuading .. in dissuading you not to go but + +114 +00:08:34,550 --> 00:08:37,730 +let's see somebody who will persuade it's fun you + +115 +00:08:37,730 --> 00:08:44,030 +know yes روان like and I think خولة as well so + +116 +00:08:44,030 --> 00:08:46,730 +today we're supposed to listen to many responses + +117 +00:08:46,730 --> 00:08:50,900 +goodThe shepherd invites his love to come with him + +118 +00:08:50,900 --> 00:08:53,340 +to live in the countryside, which contains + +119 +00:08:53,340 --> 00:08:55,820 +pleasures of all kinds, to enjoy the nature + +120 +00:08:55,820 --> 00:08:59,580 +sights. Is he out of his mind? With no future + +121 +00:08:59,580 --> 00:09:01,860 +defined, there is no grandee the lady can find. So + +122 +00:09:01,860 --> 00:09:05,420 +this is like a cynical attitude. No future, + +123 +00:09:05,620 --> 00:09:10,160 +nothing realistic. The same concern is shared by + +124 +00:09:10,160 --> 00:09:13,800 +her like you know nothing is real, nothing is + +125 +00:09:13,800 --> 00:09:17,320 +concrete. All of these are you know just promises + +126 +00:09:17,320 --> 00:09:21,090 +in the air.I just can't decide whether he's being + +127 +00:09:21,090 --> 00:09:25,670 +ridiculous or serious. He wants to watch the river + +128 +00:09:25,670 --> 00:09:28,530 +but he didn't bother himself to make any offer. + +129 +00:09:28,870 --> 00:09:32,670 +Even if he brought a rose, he didn't do both. He + +130 +00:09:32,670 --> 00:09:35,290 +wants to hear the birds sing Yeah like here there + +131 +00:09:35,290 --> 00:09:39,510 +is a way out as a Muslim you knowlike if there is + +132 +00:09:39,510 --> 00:09:43,670 +like a formal proposal you know and a formal you + +133 +00:09:43,670 --> 00:09:46,950 +know relationship like it's a you know marriage + +134 +00:09:46,950 --> 00:09:50,250 +relationship so this kind of you know relationship + +135 +00:09:50,250 --> 00:09:55,850 +would be legal and as a Muslim we will respond + +136 +00:09:55,850 --> 00:10:00,390 +eagerly you knowلذلك هناك حاجات لنا كمسلمين كما + +137 +00:10:00,390 --> 00:10:07,790 +تعلمون، هذا لا يشبه لنا إلا إذا كان لدينا تأكيدات + +138 +00:10:07,790 --> 00:10:11,090 +تتمكنوا من تحقيقها هو يريد أن يسمع ما يقول + +139 +00:10:11,090 --> 00:10:14,790 +الحيوانات، لكنه لم يحضر أي حلوة، يبدو أن السيدة لم + +140 +00:10:14,790 --> 00:10:19,540 +تهتم أبدا، لأن إجابتها لم تكن مسموحة أبداأنت تخلق + +141 +00:10:19,540 --> 00:10:24,900 +نفسك تتكلم عن السيدة لأن أعتقد أن هذه القصة كانت + +142 +00:10:24,900 --> 00:10:30,220 +تتكلم عننا جيد الأخير خاولا إذا كنت تعرف حسنا، نعم + +143 +00:10:30,220 --> 00:10:38,240 +خاولا؟ لذا لدينا حتى ثلاثة أشخاص ينفعون للذهاب، + +144 +00:10:38,240 --> 00:10:42,910 +نعمGood morning. To his love is a poem written by + +145 +00:10:42,910 --> 00:10:45,590 +Marlow. It's the fifth time I write response for + +146 +00:10:45,590 --> 00:10:48,250 +the poem, but I feel I feel now there is no + +147 +00:10:48,250 --> 00:10:50,510 +difficulty in writing. After I read the poem + +148 +00:10:50,510 --> 00:10:53,550 +loudly, the words, the style and even the theme + +149 +00:10:53,550 --> 00:10:56,350 +attract my attention. It's the first time the poet + +150 +00:10:56,350 --> 00:10:59,350 +invite his beloved to come and to be his wife. So + +151 +00:10:59,350 --> 00:11:02,170 +this is a new style in our studying of poetry. I + +152 +00:11:02,170 --> 00:11:06,690 +face some difficulties withI faced some + +153 +00:11:06,690 --> 00:11:08,990 +difficulties worse actually but I tried to + +154 +00:11:08,990 --> 00:11:11,210 +understand it through the context Marlow used an + +155 +00:11:11,210 --> 00:11:14,010 +image which is an imaginative image because I + +156 +00:11:14,010 --> 00:11:17,310 +don't think there is an image like he narrated He + +157 +00:11:17,310 --> 00:11:19,270 +invites his beloved to come and to live with him + +158 +00:11:19,270 --> 00:11:22,350 +in the countryside where everything will be + +159 +00:11:22,350 --> 00:11:25,990 +depositioned to serve them They will sit upon the + +160 +00:11:25,990 --> 00:11:30,970 +rocks and watch the shepherd feeding their flocks + +161 +00:11:31,350 --> 00:11:34,750 +هذه الصورة تشبه رحلته ورعايته، كل الصورة من + +162 +00:11:34,750 --> 00:11:39,650 +الطبيعة وكذلك الجبال والعيون والجبال وأخيرًا أريد + +163 +00:11:39,650 --> 00:11:43,130 +أن أقول أن مارلو نجح في استخدام اللغة لإيقاف + +164 +00:11:43,130 --> 00:11:47,870 +أصدقاءه ليعيش معاه وهو اقتناطي، لذلك شكرًا لك + +165 +00:11:47,870 --> 00:11:53,190 +شكرًا لك، حسنًا، جيد، أخيرًا، لأنك تعرفين، هذا + +166 +00:11:53,190 --> 00:12:00,010 +مثلًا إقدام جيد للحديث دعونا نرى من سيكون هنا ومن + +167 +00:12:00,010 --> 00:12:05,660 +هناOkay Superficial my love seems your verse As of + +168 +00:12:05,660 --> 00:12:08,400 +nature you seem more fascinated than me Those + +169 +00:12:08,400 --> 00:12:10,900 +pleasures you speak of for me better or worse + +170 +00:12:10,900 --> 00:12:13,500 +Seems not to matter for it's you who will see + +171 +00:12:13,500 --> 00:12:16,460 +Those silver dishes of meat you speak of are my + +172 +00:12:16,460 --> 00:12:19,260 +curse For who will prepare for the idle shepherd + +173 +00:12:19,260 --> 00:12:22,460 +his provisions Get real man of you after this I'm + +174 +00:12:22,460 --> 00:12:26,340 +not a great fan Okay thank you very much Okay now + +175 +00:12:26,340 --> 00:12:30,060 +I want to see people here like to comeسنجد الناس + +176 +00:12:30,060 --> 00:12:34,540 +الذين لا يريدون الذهاب، حسنا، فقط تأتي هنا و تجلس + +177 +00:12:34,540 --> 00:12:40,700 +هنا، هذا محادثة، محادثة TV، حسنا، من يعتقد أنه لا + +178 +00:12:40,700 --> 00:12:47,200 +يجب أن تذهب؟ نعم، فقط تأتي هنا، حسنا، أنت تأتي + +179 +00:12:47,200 --> 00:12:54,700 +هنا، حسنا، فقط تحط قطعك، لأن هذا محادثة، تعرفين، + +180 +00:12:54,700 --> 00:12:59,080 +هذا محادثة، تجلس هنا، حسنا، أنت تجلس هنا + +181 +00:13:02,070 --> 00:13:07,250 +yes and I need like a third one روحان روحان okay + +182 +00:13:07,250 --> 00:13:12,690 +so those who think it's nice to go what are they + +183 +00:13:12,690 --> 00:13:23,750 +okay yes okay good one yeah + +184 +00:13:23,750 --> 00:13:30,830 +like here to go yes yeah to go where is my .. I + +185 +00:13:30,830 --> 00:13:36,090 +need my .. yesلا تقلق، ربما أغلبك الأن، كأنني أغلب + +186 +00:13:36,090 --> 00:13:40,150 +القواعد، فأميل هل تريد أن تلعب معاها؟ أنا ممكن + +187 +00:13:40,150 --> 00:13:44,310 +أشاهد حقا؟ لا، إنها جيدة، كما تعرفين، يمكنك أن + +188 +00:13:44,310 --> 00:13:55,730 +تأتي، ربما أغلبها، حسنا؟ نعم، نعم، أتي. حسنا، يا + +189 +00:13:55,730 --> 00:14:00,450 +عزيزي، صباح الخير، يا عزيزي الجدراني، صباح الخير، + +190 +00:14:00,450 --> 00:14:03,900 +اليوم لدينا حدث رائع،it's like we have an + +191 +00:14:03,900 --> 00:14:08,560 +invitation from a lesbian poet named Christopher + +192 +00:14:08,560 --> 00:14:13,540 +Martin and all of you read the invitation it's not + +193 +00:14:13,540 --> 00:14:18,320 +a willing invitation but it is an invitation to go + +194 +00:14:18,320 --> 00:14:23,340 +or to go with the poet to the countryside and here + +195 +00:14:23,340 --> 00:14:28,440 +we have like some people who are cynical who are + +196 +00:14:28,890 --> 00:14:31,790 +little adamant they don't trust the poet and they + +197 +00:14:31,790 --> 00:14:36,370 +decided not to go of course we'll ask them you + +198 +00:14:36,370 --> 00:14:39,930 +know about the reason and again here we have like + +199 +00:14:39,930 --> 00:14:44,270 +people who you know wanted to give themselves time + +200 +00:14:44,270 --> 00:14:47,990 +to relax and they thought it was a good idea to go + +201 +00:14:47,990 --> 00:14:51,230 +and you know to enjoy the beauty because you know + +202 +00:14:51,230 --> 00:14:55,090 +there is a carefree life it's like a wonderful + +203 +00:14:55,090 --> 00:14:59,610 +it's a good you know vacation to go thereNow they + +204 +00:14:59,610 --> 00:15:01,770 +are going to debate, but when they debate, of + +205 +00:15:01,770 --> 00:15:06,330 +course, you know, like one would start by an + +206 +00:15:06,330 --> 00:15:08,590 +argument, yeah it's good to go out in the + +207 +00:15:08,590 --> 00:15:12,130 +countryside, I'd like to relax, to escape from + +208 +00:15:12,130 --> 00:15:15,510 +this, and the other would say, yeah you might be + +209 +00:15:15,510 --> 00:15:18,770 +right, I think I might share you, I respect your + +210 +00:15:18,770 --> 00:15:21,450 +point of view, but let me disagree with you, so + +211 +00:15:21,450 --> 00:15:24,030 +whenever you disagree with each other, like use + +212 +00:15:24,030 --> 00:15:30,570 +best language, okay?لنرى .. أعتقد أنك تحصلت على + +213 +00:15:30,570 --> 00:15:36,830 +الانهيار .. لذا لماذا قررت أن لا تذهب؟ + +214 +00:15:43,500 --> 00:15:47,180 +العقل يقول لي لا أولا أولا أولا أولا أولا أولا + +215 +00:15:47,180 --> 00:15:48,420 +أولا أولا أولا أولا أولا أولا أولا أولا أولا أولا + +216 +00:15:48,420 --> 00:15:49,880 +أولا أولا أولا أولا أولا أولا أولا أولا أولا أولا + +217 +00:15:49,880 --> 00:15:51,080 +أولا أولا أولا أولا أولا أولا أولا أولا أولا أولا + +218 +00:15:51,080 --> 00:15:52,760 +أولا أولا أولا أولا أولا أولا أولا أولا أولا أولا + +219 +00:15:52,760 --> 00:15:52,980 +أولا أولا أولا أولا أولا أولا أولا أولا أولا أولا + +220 +00:15:52,980 --> 00:15:52,980 +أولا أولا أولا أولا أولا أولا أولا أولا أولا أولا + +221 +00:15:52,980 --> 00:15:55,380 +أولا أولا أولا أولا أولا أولا + +222 +00:16:13,450 --> 00:16:17,790 +Now they say like I think the poem you know I + +223 +00:16:17,790 --> 00:16:19,450 +don't know like let's see what they are going to + +224 +00:16:19,450 --> 00:16:27,770 +say yes؟ماذا أريد أن أقول هو لماذا يرى الأشياء مثل + +225 +00:16:27,770 --> 00:16:32,710 +هذه أنها للمدينة وانها مثل أنهم يذهبوا إلى علاقة + +226 +00:16:32,710 --> 00:16:37,550 +عقلية لماذا لا أنت .. انا مع عقلي، أنا ليس غير غير + +227 +00:16:37,550 --> 00:16:39,890 +عقلي، لذلك أستطيع أن أقرر ما هو صحيح وما هو غير + +228 +00:16:39,890 --> 00:16:43,310 +صحيح، لذا لماذا لا مكان من الجبال والجبال + +229 +00:16:43,310 --> 00:16:45,590 +والعشوائر والعشوائر والعشوائر والعشوائر والعشوائر + +230 +00:16:45,590 --> 00:16:48,210 +والعشوائر والعشوائر والعشوائر والعشوائر والعشوائر + +231 +00:16:48,210 --> 00:16:48,210 +والعشوائر والعشوائر والعشوائر والعشوائر والعشوائر + +232 +00:16:48,210 --> 00:16:50,680 +والعشوائر والعشوائر والعشوSo she thinks like it's + +233 +00:16:50,680 --> 00:16:54,060 +good like to have your own decision and to go you + +234 +00:16:54,060 --> 00:16:57,920 +know of course like she didn't talk about the + +235 +00:16:57,920 --> 00:17:03,160 +restrictions let's see here yes another step or + +236 +00:17:03,160 --> 00:17:06,900 +like I'll change position you knowتسمح لي أن أتفاق + +237 +00:17:06,900 --> 00:17:11,640 +مع كلاهما لأن هنا أنا لا أعتقد أنه قام بتصريح أنه + +238 +00:17:11,640 --> 00:17:16,500 +يجب أن تذهب إلى علاقة غير صادقة، أعتقد أن مركز + +239 +00:17:16,500 --> 00:17:20,560 +الرقص الرئيسي للقصة هو الجانب المسيحي وطريقة + +240 +00:17:20,560 --> 00:17:23,900 +الحياة المسيحية، لذلك ما أفكره منه، أعتقد أن القصة + +241 +00:17:23,900 --> 00:17:29,090 +التي قام مارلوالشيء اللي أخذته هو شخص محبوب جدا و + +242 +00:17:29,090 --> 00:17:33,870 +اهتم بكل شيء و ليس كل شيء دائما محبوب و ليس كل شيء + +243 +00:17:33,870 --> 00:17:37,110 +دائما روزي و فلوري، هناك دائما جانب محبوب و نقلي + +244 +00:17:37,110 --> 00:17:41,770 +لكل شيء، كان يتكلم عن كلمات الشيبرد، كان يتكلم عن + +245 +00:17:41,770 --> 00:17:47,290 +أنه يشاهد كل شيء، يبدو كإنسان و محبوب، يبدو كأنه + +246 +00:17:47,290 --> 00:17:54,400 +يجعل كل شيء رهيب لهالو أنها تدرك أن هذا ليس عيون + +247 +00:17:54,400 --> 00:18:00,740 +عيون حياتها سيكون صعب أن تعيش على حاجة عادية بهذه + +248 +00:18:00,740 --> 00:18:03,160 +الطريقة للعيش. هي يمكن أن تذهب لزيارة تعرفين ما + +249 +00:18:03,160 --> 00:18:08,060 +أقصده؟ لكنها لن تكون حقيقية وليس حقيقية. انت + +250 +00:18:08,060 --> 00:18:10,740 +تخلصنا، انت في الوسط، يجب أن تكون في الوسط هنا + +251 +00:18:10,740 --> 00:18:14,900 +وانت تعرفين ماذا؟ انت جعلت فريقك يخسر نقطة، + +252 +00:18:14,900 --> 00:18:21,140 +تعرفين؟ اوه شكرا. لذلك سأقول واحدلأ you know okay + +253 +00:18:21,140 --> 00:18:23,620 +so you have to be adamant you have to be stubborn + +254 +00:18:23,620 --> 00:18:27,300 +good now good like you see like you want a point + +255 +00:18:27,300 --> 00:18:31,320 +yes like Amanda? well for me I would say I would + +256 +00:18:31,320 --> 00:18:34,260 +go because of the nature of our life civilized + +257 +00:18:34,260 --> 00:18:39,920 +lifeI would .. for me I would go because of you + +258 +00:18:39,920 --> 00:18:42,120 +know the nature of our daily life, civilized life, + +259 +00:18:42,180 --> 00:18:45,100 +we hardly even notice the .. the .. the tree that + +260 +00:18:45,100 --> 00:18:49,460 +we cross, so going to a pastoral area would + +261 +00:18:49,460 --> 00:18:54,210 +actually .. would be a nice holidaywould be a nice + +262 +00:18:54,210 --> 00:19:00,530 +holiday, yes? yes, would be a very nice holiday + +263 +00:19:00,530 --> 00:19:03,330 +for me to .. to ponder and to look around for .. + +264 +00:19:03,330 --> 00:19:06,050 +for the trees and .. and the .. all the things + +265 +00:19:06,050 --> 00:19:08,530 +that he said he would do, so yes, I would go for + +266 +00:19:08,530 --> 00:19:12,250 +.. you would go out, you are attracted by all + +267 +00:19:12,250 --> 00:19:14,870 +these scenes and beauty, yes? + +268 +00:19:19,610 --> 00:19:23,250 +لو كانت ليست أفضل من الأفطار، لذا حتى لو كان هناك + +269 +00:19:23,250 --> 00:19:26,970 +جمال في حياتنا، في حياتنا الخارجية، لكن لا مهم + +270 +00:19:26,970 --> 00:19:29,510 +كمان كمان حياتنا ممكن تكون مقلقة، لكن نستطيع أن + +271 +00:19:29,510 --> 00:19:32,590 +نعيش بدونها، و هو لم ي .. نستطيع أن نتعامل مع ذلك، + +272 +00:19:32,590 --> 00:19:36,390 +نعم، و هو لم ي .. حتى لو لم يجعل أي وعدة أنه يبقى + +273 +00:19:36,390 --> 00:19:40,070 +معها أو يتعامل معها أو حتى علاقة طويلة، فهو فقط + +274 +00:19:40,070 --> 00:19:45,380 +قال تعالي معي، لذا لم تكن لها مثل ..بس is he going + +275 +00:19:45,380 --> 00:19:47,860 +to be the .. you know the only one in the + +276 +00:19:47,860 --> 00:19:50,000 +countryside, this is the question, they might say + +277 +00:19:50,000 --> 00:19:51,880 +he's not going to be the only one, you know there + +278 +00:19:51,880 --> 00:19:54,240 +will be lot of people, lot of shepherds, lot of + +279 +00:19:54,240 --> 00:19:59,110 +swains, you know okay I don't believe himأنا أشعر + +280 +00:19:59,110 --> 00:20:03,990 +أنه يكون مثل .. هو يهيزم كل شيء، يقول أن المطبخات + +281 +00:20:03,990 --> 00:20:10,090 +السلسلة لك، من سيصنع المطبخات السلسلة؟ هو سيكون + +282 +00:20:10,090 --> 00:20:11,190 +مثل اعمل لي عشان عشان عشان عشان عشان عشان عشان + +283 +00:20:11,190 --> 00:20:12,030 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +284 +00:20:12,030 --> 00:20:12,230 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +285 +00:20:12,230 --> 00:20:14,410 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +286 +00:20:14,410 --> 00:20:14,450 +عشان عشان عشان عشان عشان عشان عشان عشان عشان عشان + +287 +00:20:14,450 --> 00:20:18,290 +عشان عشان عشان عشان + +288 +00:20:18,290 --> 00:20:25,260 +عشان عشان عit would be nice like to .. you can + +289 +00:20:25,260 --> 00:20:29,640 +click this and yes and read the poem, read the + +290 +00:20:29,640 --> 00:20:38,040 +invitation I don't know .. yeah wow look come with + +291 +00:20:38,040 --> 00:20:41,440 +me and be my love and we will own the pleasures + +292 +00:20:41,440 --> 00:20:47,460 +through the hills and the valleys dale and fields + +293 +00:20:47,460 --> 00:20:53,000 +and all the craggy mountain hillsهناك سنجلس على + +294 +00:20:53,000 --> 00:20:58,640 +الصحراء ونرى الشيخون يطعموا حياتهم بطاريات عالية + +295 +00:20:58,640 --> 00:21:06,080 +من الشهراء الى جهة مالوشيس بيرتس سينت مانديكولت + +296 +00:21:06,080 --> 00:21:13,600 +هناك سأصنع مصادر روز و ألف مصادر فانجرال و مصادر + +297 +00:21:13,600 --> 00:21:15,580 +فانجرال و مصادر فانجرال و مصادر فانجرال و مصادر + +298 +00:21:15,580 --> 00:21:16,980 +فانجرال و مصادر فانجرال و مصادر فانجرال و مصادر + +299 +00:21:16,980 --> 00:21:18,960 +فانجرال و مصادر فانجرال و مصادر فانجرال و مصادر + +300 +00:21:18,960 --> 00:21:19,120 +فانجرال و مصادر فانجرال و مصادر فانجرال و مصادر + +301 +00:21:19,120 --> 00:21:26,590 +فانجرالA gown, a gown made of the finest wool, a + +302 +00:21:26,590 --> 00:21:33,170 +gown made of the finest wool, which from our + +303 +00:21:33,170 --> 00:21:37,170 +pretty lamps we pull, fair lines splattered, + +304 +00:21:37,910 --> 00:21:41,950 +slippers for the cold, with packles of the purest + +305 +00:21:41,950 --> 00:21:46,490 +gold, a belt of straw and ivory buds, with coral + +306 +00:21:46,490 --> 00:21:52,790 +clasps and amber studs,إذا كانت هذه المعجزات تتحرك + +307 +00:21:52,790 --> 00:21:57,250 +منك، تعال و أعيش معي و تكون حبيبتي. الطعام الذهبي + +308 +00:21:57,250 --> 00:22:04,250 +لطفولتك، كميزة مثل السلوك اللي تأكله، سيكون مجرد + +309 +00:22:04,250 --> 00:22:11,430 +عيبوري يكونوا مستعدين كل يوم لك و لأنا. الشياطين، + +310 +00:22:11,430 --> 00:22:15,350 +الشياطين السويسيين سيبقوا يحفظوا و يغفروا لرحمتهم + +311 +00:22:15,350 --> 00:22:20,110 +كل يوم و رحمة. إذا كانت هذه الرحمة رحمتك،I think + +312 +00:22:20,110 --> 00:22:24,350 +it's + +313 +00:22:24,350 --> 00:22:28,330 +very interesting like look here it is good thing + +314 +00:22:28,330 --> 00:22:33,410 +for a lady like to be blind nowadays ladies are + +315 +00:22:33,410 --> 00:22:36,150 +complaining they are cocking they are doing the + +316 +00:22:36,150 --> 00:22:39,130 +kitchen work here as you see I don't believe him + +317 +00:22:39,130 --> 00:22:42,530 +by heart he's not being realistic why why do you + +318 +00:22:42,530 --> 00:22:43,150 +want to say yes + +319 +00:22:48,870 --> 00:22:55,250 +كأنها عميلة و هي تحكم كل شيء حولها و ايضا الهنسالب + +320 +00:22:55,250 --> 00:23:01,430 +إسرائيل تحكمها فهي ستشعر كإنها في الجحيم كأنها في + +321 +00:23:01,430 --> 00:23:04,970 +الجحيم عشان .. حسنا جيد و الأن أنا بتقوله أنه يكون + +322 +00:23:04,970 --> 00:23:09,230 +رومانسيكي و ليس مضحكا .. لا أعرف ماذا قلت؟ انه .. + +323 +00:23:09,230 --> 00:23:12,350 +يعني .. هناك .. هناك .. لا شيء مذهل .. لقد كنا + +324 +00:23:12,350 --> 00:23:14,910 +نشاهد الفيديو .. حسنا .. حسنا .. حسنا .. لنذهب .. + +325 +00:23:14,910 --> 00:23:18,370 +حسنا .. هل تريد أن تكرر هذا مرة أخرى؟ حسنا؟ + +326 +00:23:21,780 --> 00:23:27,940 +طبعا انا أشعر أن كل شيء مستعد لها و هي ستشعر أنها + +327 +00:23:27,940 --> 00:23:31,600 +فتاة تتحكم في كل شيء حولها فهي ستحصل على حياة + +328 +00:23:31,600 --> 00:23:38,540 +مميزة و حياة مميزة جدا و هي ستشعر أن كل شيء تحت + +329 +00:23:38,540 --> 00:23:39,680 +تحكمها + +330 +00:23:42,280 --> 00:23:45,700 +I wanted to say that he's being a romantic, not + +331 +00:23:45,700 --> 00:23:48,340 +what they said, ridiculous and stupid He can't be + +332 +00:23:48,340 --> 00:23:55,100 +romantic 24 sevenهو ممكن يكون روماني 247 كمان + +333 +00:23:55,100 --> 00:24:00,840 +كبيرياليستيك كمان + +334 +00:24:00,840 --> 00:24:05,800 +كمان كمان كمان كمان كمان كمان كمان كمان كمان كمان + +335 +00:24:05,800 --> 00:24:15,300 +كمان كمان + +336 +00:24:20,530 --> 00:24:23,170 +he's not giving us a ground anything to help us + +337 +00:24:23,170 --> 00:24:30,610 +actually I don't know help him he's not helping us + +338 +00:24:30,610 --> 00:24:34,430 +helping him he's not helping us to help him he's + +339 +00:24:34,430 --> 00:24:39,330 +exaggerating yes + +340 +00:24:39,330 --> 00:24:43,310 +we have one from the audience yes please + +341 +00:24:48,860 --> 00:24:51,360 +نحن نحصل على واحدة من المجتمع، هل تعرفين أنها + +342 +00:24:51,360 --> 00:24:58,140 +ستدعم اي واحد من الاتصالات؟ سأختار نفسه، لأن هذا + +343 +00:24:58,140 --> 00:25:00,920 +هو الكتابة، يجب أن يكون هناك طريقة لنا + +344 +00:25:06,210 --> 00:25:11,690 +المستمعين يجب أن يكونوا أكثر من ذلك، لأنها صورة، + +345 +00:25:11,690 --> 00:25:16,130 +ولكن عندما تأتي إلى الحياة الحقيقية أو المدينة + +346 +00:25:16,130 --> 00:25:20,490 +الحقيقية، فسيكون حقيقية أنك تعيش في العالم + +347 +00:25:20,490 --> 00:25:26,210 +الحقيقي، ولكنك تعيش في طريقة أخرى، لأننا لم نحاول + +348 +00:25:26,210 --> 00:25:31,520 +ذلكفاzing some problems to imagine it, to try to + +349 +00:25:31,520 --> 00:25:34,260 +live in it, but I'm gonna tell you something, you + +350 +00:25:34,260 --> 00:25:36,940 +are .. most of you are stud girls, you don't have + +351 +00:25:36,940 --> 00:25:39,700 +kids, you're not married, you're not .. you're not + +352 +00:25:39,700 --> 00:25:43,860 +already through all these problems, to me, I would + +353 +00:25:43,860 --> 00:25:45,880 +go for a better life, I would go to the + +354 +00:25:45,880 --> 00:25:48,620 +countryside Yeah, like with having all the + +355 +00:25:48,620 --> 00:25:51,840 +concerns of a woman working outside, she would go + +356 +00:25:53,660 --> 00:25:58,340 +it's not only a break I'm looking for a life of + +357 +00:25:58,340 --> 00:26:06,000 +stability here in the country or in townsand maybe + +358 +00:26:06,000 --> 00:26:09,740 +your work is plus to you maybe you don't have as + +359 +00:26:09,740 --> 00:26:13,260 +in the countryside to take hours to get to your + +360 +00:26:13,260 --> 00:26:17,060 +work or to get whatever you want at the time you + +361 +00:26:17,060 --> 00:26:20,560 +want but there you will have a life of manners a + +362 +00:26:20,560 --> 00:26:25,000 +life of spontaneous people a life of .. yes but + +363 +00:26:25,000 --> 00:26:28,620 +let me hug you know the other guys like where is + +364 +00:26:28,620 --> 00:26:31,740 +he inviting her to which place to the countryside + +365 +00:26:31,740 --> 00:26:37,410 +did he you knowidentify who's countryside it is, + +366 +00:26:37,630 --> 00:26:40,330 +like who's the owner of the countryside, like you + +367 +00:26:40,330 --> 00:26:43,210 +see what I mean? So they think this is a reason + +368 +00:26:43,210 --> 00:26:47,430 +which would persuade or dissuade, okay? It's + +369 +00:26:47,430 --> 00:26:49,090 +poetry, not a contract. Okay, let's see the other + +370 +00:26:49,090 --> 00:26:52,190 +group. Yes, they think it's like if somebody + +371 +00:26:52,190 --> 00:26:55,230 +invites you like to a place which is not her + +372 +00:26:55,230 --> 00:26:59,800 +place, would you go?I will go but I will know + +373 +00:26:59,800 --> 00:27:05,060 +where is the place and I am well aware of where I + +374 +00:27:05,060 --> 00:27:10,520 +am going I will go by my reason to know where is + +375 +00:27:10,520 --> 00:27:14,160 +the place and to go with my relatives no with man + +376 +00:27:14,160 --> 00:27:16,920 +I have no relation with him but this is not .. we + +377 +00:27:16,920 --> 00:27:19,340 +are not talking about this somebody is inviting + +378 +00:27:19,340 --> 00:27:24,660 +you to a place he doesn't own it is not his place + +379 +00:27:24,660 --> 00:27:31,390 +you knowyes for example we know palestine, we are + +380 +00:27:31,390 --> 00:27:36,870 +palestinian, this is our land and now and you know + +381 +00:27:36,870 --> 00:27:40,170 +the jewish propaganda like the zionist movement + +382 +00:27:40,170 --> 00:27:44,790 +come to the land of holy come live with us in this + +383 +00:27:44,790 --> 00:27:48,530 +land, so this is part of .. where did you go? + +384 +00:27:55,960 --> 00:28:00,520 +طبعا هل أنت بخير بهذه الفكرة؟ هو فقط يسأل عن + +385 +00:28:00,520 --> 00:28:04,820 +رأيها، هو لن يقول في الكتابة ان انا وجدت مكان + +386 +00:28:04,820 --> 00:28:10,900 +يمكننا أن نشتريه و لن يكون أسعارًا، مجتمع قريب و + +387 +00:28:10,900 --> 00:28:17,400 +هو لن يذهب على كل هذه التفاصيل، لكن لازم كما هو + +388 +00:28:17,400 --> 00:28:22,440 +يقول لها سأشتري لك سلابر و قطعة روز، دعنا نقول، + +389 +00:28:22,440 --> 00:28:23,040 +ماذا تعتقد؟ + +390 +00:28:28,070 --> 00:28:33,350 +بنه روز؟ انا لا اعرف، هل تريد تقرير هذا؟ نعم، لكن + +391 +00:28:33,350 --> 00:28:36,790 +مثلا، ماذا عن بنه روز؟ انها فكرة جيدة، الناس هم .. + +392 +00:28:36,790 --> 00:28:42,050 +انا أعني .. نعم، لذا هذا يظهر كم حذر هو، كم .. كم + +393 +00:28:42,050 --> 00:28:45,770 +صحيحة ستحضر لتحضير هذا .. روز لن تستمر دائما، نعم + +394 +00:28:45,770 --> 00:28:51,370 +نعم روز لن تستمر دائما، نعم + +395 +00:28:51,370 --> 00:28:51,370 +نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم + +396 +00:28:51,370 --> 00:28:51,370 +نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم + +397 +00:28:51,370 --> 00:28:51,370 +نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم نعم + +398 +00:28:51,370 --> 00:28:56,150 +نعم نعم نعم نعم نعم نعم نعم نعم نعم + +399 +00:28:56,150 --> 00:28:59,060 +نعمhe did not like .. he did not take into + +400 +00:28:59,060 --> 00:29:01,560 +consideration the reaction of the woman once she + +401 +00:29:01,560 --> 00:29:03,680 +received this invitation I mean put yourself in + +402 +00:29:03,680 --> 00:29:06,220 +the condition, you have this letter from him, an + +403 +00:29:06,220 --> 00:29:08,760 +invitation, come with me, we have this, we have + +404 +00:29:08,760 --> 00:29:11,480 +that, are you just gonna say oh yeah I'm coming + +405 +00:29:15,350 --> 00:29:19,770 +الشيء المضحك عن ما يطلبه منها أن تأتي هو أنه على + +406 +00:29:19,770 --> 00:29:22,630 +الرغم من أنه يقول إنه يريدها أن تعيش معاه في حياة + +407 +00:29:22,630 --> 00:29:27,870 +عالمية، فهو يستخدم الكثير من الأشياء التي هي من + +408 +00:29:27,870 --> 00:29:32,410 +الحياة المدنية أو الحياة المدنية مثلما يقول إنه + +409 +00:29:32,410 --> 00:29:40,570 +سيجعلها .. ماذا؟ ملابس، جوانب، دشر، كل هذه مخصصة، + +410 +00:29:40,570 --> 00:29:46,400 +لا شيء .. كل هذه طبيعيةnothing is artificial so + +411 +00:29:46,400 --> 00:29:50,480 +he's talking about a carefree life a simple life + +412 +00:29:50,480 --> 00:29:55,920 +devoid of any sign or any you know manifestation + +413 +00:29:55,920 --> 00:30:05,000 +of let's say artificiality yes you + +414 +00:30:05,000 --> 00:30:08,340 +live in the moment you don't care for .. actually + +415 +00:30:08,340 --> 00:30:12,430 +it may be all of themdon't fall in love .. so + +416 +00:30:12,430 --> 00:30:18,110 +that's her video .. but when you fall in love .. + +417 +00:30:18,110 --> 00:30:21,150 +so you forget all of these things you know .. oh + +418 +00:30:21,150 --> 00:30:24,070 +yeah sure okay .. yeah but still like there are + +419 +00:30:24,070 --> 00:30:26,790 +restrictions and rules .. okay we will apply + +420 +00:30:29,580 --> 00:30:34,100 +العلماء دعوني أقول شيء أعتقد أنه مهم، في وقتهم، + +421 +00:30:34,100 --> 00:30:39,500 +وقت الانتصاف، كانت طبيعية جدا وكانت طبيعية جدا أن + +422 +00:30:39,500 --> 00:30:42,640 +تذهب و تعيش في مكان طبيعي نعم، فإذا كانت وقت عام، + +423 +00:30:42,640 --> 00:30:43,300 +كانت طبيعي نعم، فإذا كانت وقت عام، كانت طبيعي نعم، + +424 +00:30:43,300 --> 00:30:43,340 +فإذا كانت وقت عام، كانت طبيعي نعم، فإذا كانت وقت + +425 +00:30:43,340 --> 00:30:43,340 +عام، كانت طبيعي نعم، فإذا كانت وقت عام نعم، فإذا + +426 +00:30:43,340 --> 00:30:44,160 +كانت وقت عام نعم، فإذا كانت وقت عام نعم، فإذا كانت + +427 +00:30:44,160 --> 00:30:48,160 +وقت عام نعم، فإذا كانت وقت عام نعم، فإذا كانت وقت + +428 +00:30:48,160 --> 00:30:56,300 +عام نعم، + +429 +00:30:56,300 --> 00:31:03,380 +فإذا كانت وقتwhat are you going to say؟ هه؟ okay + +430 +00:31:03,380 --> 00:31:06,980 +they want to like to switch you؟ sure okay you go + +431 +00:31:06,980 --> 00:31:10,520 +you go let's see let's see how you are going now + +432 +00:31:10,520 --> 00:31:13,400 +say yes we should go it's good you know and you + +433 +00:31:13,400 --> 00:31:16,320 +say we shouldn't go this is a good idea in debate + +434 +00:31:16,320 --> 00:31:19,640 +now we are in difficult yeah I think this team + +435 +00:31:19,640 --> 00:31:24,820 +this team thinks it's a good idea to go you know + +436 +00:31:24,820 --> 00:31:28,140 +it is goodو هؤلاء الناس يقولون لا نحتاج أن نذهب + +437 +00:31:28,140 --> 00:31:36,320 +انها ليست جيدة انت تريدني أن اذهب لأنك تريد واحدة + +438 +00:31:36,320 --> 00:31:39,700 +من أولادك السبنتين تريدها أن تكوك تريدها أن تشوف + +439 +00:31:39,700 --> 00:31:42,940 +طعامك تريدها أن تعمل لك انت لا تريدني أن احصل على + +440 +00:31:42,940 --> 00:31:47,560 +اهتمامي و اهتمامي و اهتمامي و اهتمامي و اهتمامي و + +441 +00:31:47,560 --> 00:31:47,620 +اهتمامي و اهتمامي و اهتمامي و اهتمامي و اهتمامي و + +442 +00:31:47,620 --> 00:31:49,600 +اهتمامي و اهتمامي و اهتمامي و اهتمامي و اهتمامي + +443 +00:31:52,190 --> 00:31:55,990 +أنت تعرفين الصورة السيوتيوكية من .. تعرفين .. + +444 +00:31:55,990 --> 00:32:01,590 +مثلًا .. قوة .. تعرفين .. السيدة .. نعم، جيد جدًا، + +445 +00:32:01,590 --> 00:32:05,430 +و أيضًا، يا عزيزي؟ لا أعتقد أنه يعرف من هو .. من + +446 +00:32:05,430 --> 00:32:08,390 +من هو اللذي يتعامل معه، أعني هو يقول كل هذا و الأن + +447 +00:32:08,390 --> 00:32:11,810 +مثلًا، إنه يبدو مثلًا لي، إنه يبدو قليلًا من + +448 +00:32:11,810 --> 00:32:16,190 +الواضح و قليلًا من التكثير، لكنه لا يعرف إنه حقًا + +449 +00:32:16,190 --> 00:32:18,790 +يأخذني و أنا لا أجد ما أتوقعه، + +450 +00:32:21,690 --> 00:32:24,950 +it's all gonna be like .. so I think .. I think + +451 +00:32:24,950 --> 00:32:27,710 +that I .. I would definitely go because I would + +452 +00:32:27,710 --> 00:32:29,730 +love to live that moment I have nothing else to + +453 +00:32:29,730 --> 00:32:32,170 +lose I mean it's an experience look she .. she's + +454 +00:32:32,170 --> 00:32:35,490 +excellent at manipulating her position it's an + +455 +00:32:35,490 --> 00:32:38,250 +experience it is an experience yeah I have nothing + +456 +00:32:38,250 --> 00:32:40,350 +else to lose if .. if he doesn't you know satisfy + +457 +00:32:40,350 --> 00:32:42,850 +me with everything that he mentioned then you know + +458 +00:32:42,850 --> 00:32:45,930 +whatever for me I would go for some time and then + +459 +00:32:45,930 --> 00:32:54,150 +go back to my lifeSo let's now .. let's .. let's + +460 +00:32:54,150 --> 00:32:58,570 +now you know conclude this wonderful debate as you + +461 +00:32:58,570 --> 00:33:02,610 +see like some people are willing to go because you + +462 +00:33:02,610 --> 00:33:07,450 +know it's nice it's like very you know the past of + +463 +00:33:07,450 --> 00:33:11,270 +Allah is nice some people are realistic in fact + +464 +00:33:11,270 --> 00:33:15,930 +that was the case in Elizabethan time you know we + +465 +00:33:15,930 --> 00:33:21,310 +had two different attitudesواحد كان محبوسًا، يعني + +466 +00:33:21,310 --> 00:33:27,630 +محبوسًا، يغيّر، يحفظ الجمال، السهولة، أو المدينة، + +467 +00:33:27,630 --> 00:33:31,130 +والآخر كان أكثر حقيقية، لذا إذا كنا نتحدث عن + +468 +00:33:31,130 --> 00:33:35,850 +الأول، نتحدث عن مارنو، تشاطمان، او توميز تشاطمان، + +469 +00:33:35,850 --> 00:33:41,730 +وآخر، إذا كنا نتحدث عن الحقيقة، نتحدث عن الركض، + +470 +00:33:41,730 --> 00:33:44,890 +تعرفين؟ لذلك، هذا هو قصة إليزبيتيا، في قصة + +471 +00:33:44,890 --> 00:33:50,960 +إليزبيتيا، كان هناك روحانيةكان هناك روح التطور + +472 +00:33:50,960 --> 00:33:57,120 +والفكرة عن أمريكا كانت هناك، أمريكا تم إكتشافها، + +473 +00:33:57,120 --> 00:34:00,820 +وكانت أمريكا مثل مدينة الناومان التي كانت مجتمعها + +474 +00:34:00,820 --> 00:34:06,100 +الكاتب. لذلك، يمكنك أن تقول أن هذه هي أسلوب + +475 +00:34:06,100 --> 00:34:12,460 +المدينة، المجتمع المديني، تعال معي، أين؟ أي مدينة؟ + +476 +00:34:12,460 --> 00:34:17,050 +لم يشرح المدينة، وكانت هذه المدينة روحكما يمكننا + +477 +00:34:17,050 --> 00:34:21,110 +أن نقول أن في زميلة إسرائيل حتى قبل أن تم إكتشاف + +478 +00:34:21,110 --> 00:34:29,610 +أمريكا كانوا يكتبون عن هذا المكان في كتابتهم كانوا + +479 +00:34:29,610 --> 00:34:33,190 +يكتبون عن هذه الأرض الجديدة مع الناس الاندوجينيين + +480 +00:34:33,190 --> 00:34:38,810 +لكنهم لم يتمكنوا من تصفحها جيدًا، فكان هناك .. هذا + +481 +00:34:38,810 --> 00:34:45,630 +مثل إدعاء، إدعاء، نفس الشيء حصل عندما كنت تعرف أن + +482 +00:34:45,730 --> 00:34:48,750 +كان هناك كثير من الانشطة مثلًا مثلًا مثلًا مثلًا + +483 +00:34:48,750 --> 00:34:55,790 +مثلًا مثلًا مثلًا مثلًا مثلًا + +484 +00:34:55,790 --> 00:35:00,290 +مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +485 +00:35:00,290 --> 00:35:05,210 +مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا مثلًا + +486 +00:35:05,210 --> 00:35:13,370 +مثلًا مثلًا مثلًا مثلًا مثلًا + +487 +00:35:14,640 --> 00:35:21,220 +دعوني أعتقد .. نعم، + +488 +00:35:21,220 --> 00:35:25,120 +لذلك كما ترون مثلًا، للمرة القادمة، لدينا مجال جيد + +489 +00:35:25,120 --> 00:35:30,260 +لقصة هذه، وفي دراسات أخرى، أعرف مثلًا، وربما يكون + +490 +00:35:30,260 --> 00:35:33,360 +لديك قصة رائعة، لذلك القرار المقال المقال المقال + +491 +00:35:33,360 --> 00:35:35,100 +المقال المقال المقال المقال المقال المقال المقال + +492 +00:35:35,100 --> 00:35:36,080 +المقال المقال المقال المقال المقال المقال المقال + +493 +00:35:36,080 --> 00:35:37,020 +المقال المقال المقال المقال المقال المقال المقال + +494 +00:35:37,020 --> 00:35:37,120 +المقال المقال المقال المقال المقال المقال المقال + +495 +00:35:37,120 --> 00:35:37,120 +المقال المقال المقال المقال المقال المقال المقال + +496 +00:35:37,120 --> 00:35:37,120 +المقال المقال المقال المقال المقال المقال المقال + +497 +00:35:37,120 --> 00:35:45,550 +المقال المقلتكتشف أستاتيكاتها لأن هذه القصة مليئة + +498 +00:35:45,550 --> 00:35:45,850 +بالقصة مليئة بالقصة مليئة بالقصة مليئة بالقصة + +499 +00:35:45,850 --> 00:35:49,170 +مليئة بالقصة مليئة بالقصة مليئة بالقصة مليئة + +500 +00:35:49,170 --> 00:35:49,410 +بالقصة مليئة بالقصة مليئة بالقصة مليئة بالقصة + +501 +00:35:49,410 --> 00:35:50,770 +مليئة بالقصة مليئة بالقصة مليئة بالقصة مليئة + +502 +00:35:50,770 --> 00:35:50,810 +بالقصة مليئة بالقصة مليئة بالقصة مليئة بالقصة + +503 +00:35:50,810 --> 00:35:51,530 +مليئة بالقصة مليئة بالقصة مليئة بالقصة مليئة + +504 +00:35:51,530 --> 00:35:54,910 +بالقصة مليئة بالقصة مليئة بالقصة مليئة بالقصة + +505 +00:35:54,910 --> 00:36:01,440 +مليئةنحتاج إلى الانتصاف لدعنا نقول تجارب نحتاج .. + +506 +00:36:01,440 --> 00:36:07,160 +عالم الانتصاف هو لإقتراح لأن هذا يعني عالم الحياة، + +507 +00:36:07,160 --> 00:36:12,560 +لذا الانتصاف، لذا فهو مهم جدًا لتوضيح، لتظهر أي + +508 +00:36:12,560 --> 00:36:17,380 +نوع من الانتصاف + +509 +00:36:17,380 --> 00:36:23,300 +اللي هو استخدامه هناأود أن أشكركم على الاستماع، + +510 +00:36:23,300 --> 00:36:30,160 +وإذا كان لديكم أي سؤال عن هذه القصة وعمرها، فسيكون + +511 +00:36:30,160 --> 00:36:35,760 +فكرة جيدة، نعم أرجوك كل واحد يقوم بإ�عجابك، يقول + +512 +00:36:35,760 --> 00:36:43,180 +إن سيطنا أعجبك بكلمة عن هذا، فهو ليس لديهأنا لن + +513 +00:36:43,180 --> 00:36:48,800 +أذهب لأنني سأتأكد أن هذا مكانك، أنت تتحكم في + +514 +00:36:48,800 --> 00:36:52,740 +المكان، إلا أنني سأكون مثل مخطط، كما تعلمين، حتى + +515 +00:36:52,740 --> 00:36:56,060 +لو كنت أشاهد، هذا ليس مكاني، يجب أن أخذ المسمح، + +516 +00:36:56,060 --> 00:37:01,880 +ديني، قيمتي، أخبرني أني لدي، كما تعلمين، لأكتشاف + +517 +00:37:01,880 --> 00:37:06,760 +أنني لا أتسرق، لأن هذا تسرق، هذا ليس أثيقيا على + +518 +00:37:06,760 --> 00:37:10,890 +الإطلاقهي ليست أثيقالية مثلًا لا يمكنك .. لا أحد + +519 +00:37:10,890 --> 00:37:14,550 +يسمح لي و يقول حسنًا دعنا نذهب إلى تلك المنطقة أنا + +520 +00:37:14,550 --> 00:37:16,930 +أقول من المنطقة التي هي تعرفها؟ يجب أن أقول من + +521 +00:37:16,930 --> 00:37:19,250 +المنطقة التي هي تعرفها؟ تعرفين؟ لأنني أريد أن + +522 +00:37:19,250 --> 00:37:23,630 +أتأكد من أنني لا أتسرق، أنا لا أحب أن أخطر أي + +523 +00:37:23,630 --> 00:37:28,010 +قواعد، لذلك هذا هو الموضوع، لكن تعرفين أن هذه + +524 +00:37:28,010 --> 00:37:32,490 +كتابة باسطورية، في المرة التالية يجب أن تحدد ما هي + +525 +00:37:32,490 --> 00:37:38,060 +كتابة باسطوريةسنتحدث عن هذا أكتر لأن بعد أن نتحدث + +526 +00:37:38,060 --> 00:37:42,420 +عن هذه القصة، سنرى، كما تعلمين، الاخر رالي، كيف + +527 +00:37:42,420 --> 00:37:48,740 +رالي تردد بكتابة ردالة The Nymphs لأن هذه القصة تم + +528 +00:37:48,740 --> 00:37:55,470 +تقريرهاهو ليس من رانيه ولكن من الكثير من القصص + +529 +00:37:55,470 --> 00:37:59,550 +الأخرى وكانت تفقد جمالها ولكننا لا نريد أن نتحدث + +530 +00:37:59,550 --> 00:38:05,410 +عن أي مقاطعة إلا أننا نكتشف أستاتيكا لهذه القصة + +531 +00:38:05,410 --> 00:38:09,970 +ونرى كيف كانت جميلة كيف كانت جميلة أود أن أشكرك و + +532 +00:38:09,970 --> 00:38:17,230 +أراك المرة القادمة، حسنا؟ حسنا، + +533 +00:38:17,230 --> 00:38:20,060 +شكرا لكthanks + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/pNW6Q2yYiDI_postprocess.srt b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/pNW6Q2yYiDI_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..a73f2c6d5af9c1edbdcc2d05ea80996c360797db --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/pNW6Q2yYiDI_postprocess.srt @@ -0,0 +1,1932 @@ +1 +00:00:00,000 --> 00:00:14,480 +Good morning + +2 +00:00:14,480 --> 00:00:19,780 +everybody how are you today I know it's the middle + +3 +00:00:19,780 --> 00:00:25,700 +of the week and everybody is busy but still I + +4 +00:00:25,700 --> 00:00:31,830 +think you are busy writing response and reportI + +5 +00:00:31,830 --> 00:00:38,750 +think last class was interesting or boring or both + +6 +00:00:38,750 --> 00:00:44,070 +so let's see somebody who did not attend the class + +7 +00:00:44,070 --> 00:00:48,290 +is it difficult to report? you watched the class + +8 +00:00:48,290 --> 00:00:51,570 +good so yes please come here + +9 +00:00:57,240 --> 00:01:00,080 +every some days of pursuit of some change drew me + +10 +00:01:00,080 --> 00:01:03,060 +parallels with Howard's cryptic texts, so I + +11 +00:01:03,060 --> 00:01:07,290 +drafted these linesان انشي تشي انشي ان they closed + +12 +00:01:07,290 --> 00:01:10,410 +my Palestine proposed at the UN the sweet season + +13 +00:01:10,410 --> 00:01:13,990 +of spring swept the region Obama said from Tunisia + +14 +00:01:13,990 --> 00:01:17,050 +to Egypt to Libya to Libya and Bashar is about to + +15 +00:01:17,050 --> 00:01:20,390 +end the swift swallow pursues the dictators winter + +16 +00:01:20,390 --> 00:01:23,350 +is worn to a spectrum of rebirth Palestine is + +17 +00:01:23,350 --> 00:01:26,370 +being reborn Abbas's words rung but for my + +18 +00:01:26,370 --> 00:01:30,180 +unfortunate land only sorrow sprungلأني أهتم بـ V2 + +19 +00:01:30,180 --> 00:01:33,020 +من حيوان كبير لأن الهيبوكراسية تم إظهارها + +20 +00:01:33,020 --> 00:01:38,060 +وانتقالتي لا تتحرك أبداً شكرا، أعتقد أننا يجب أن + +21 +00:01:38,060 --> 00:01:44,760 +نصرح لها أحب هذا المقال، لأنها لم تفعّل الصفة ولكن + +22 +00:01:44,760 --> 00:01:49,440 +كانت لديها فرصة لتشاهد فيديو الصفة وهذا مثلا افضل + +23 +00:01:49,440 --> 00:01:56,640 +لديها الصفة تعمل مثل هذا جيد، أحتاج مقال آخر وفي + +24 +00:01:56,640 --> 00:02:05,920 +هذه اللحظةI should choose one, yesAt + +25 +00:02:05,920 --> 00:02:08,700 +the lecture I sat on my chair, but I didn't + +26 +00:02:08,700 --> 00:02:13,040 +prepare My teacher pointed at me to read my report + +27 +00:02:13,040 --> 00:02:16,840 +I hasn't prepared yet, but I forced to read it My + +28 +00:02:16,840 --> 00:02:20,380 +face was sore, but I tried to hide it My reading + +29 +00:02:20,380 --> 00:02:23,680 +was so fast because of my fright After my reading + +30 +00:02:23,680 --> 00:02:28,590 +in the class, I sat with a relax Okay, goodشكرًا + +31 +00:02:28,590 --> 00:02:32,010 +لك، فأعتقد أن الجميع يتحول إلى روحان في هذه + +32 +00:02:32,010 --> 00:02:36,330 +الدراسة، لكن دعنا نذكر نفسنا مثل الأشياء التي + +33 +00:02:36,330 --> 00:02:41,270 +فعلناها في الدراسة السابقة، أعتقد أننا تحدثنا عن + +34 +00:02:41,270 --> 00:02:47,410 +تجاربنا الأولى، وكذلك + +35 +00:02:47,410 --> 00:02:54,190 +تحدثنا عن أشياء أستاتيكية في القصة بشكل عام، اليوم + +36 +00:02:54,190 --> 00:03:01,690 +سنحضرلتقريب، لتقترب من القصة، تعرفين؟ ولكي نرى كيف + +37 +00:03:01,690 --> 00:03:07,370 +.. كيف القصة جميلة أخر مرة اقررنا أن .. إذا + +38 +00:03:07,370 --> 00:03:17,150 +تتذكرين .. اقررنا + +39 +00:03:17,150 --> 00:03:22,810 +أن القصة كانت موجودة بوصفة عظيمة من الصيف وكثير + +40 +00:03:22,810 --> 00:03:29,290 +منكم كنتوا يعتقدون أنالوصفة كانت رائعة بسبب الصور + +41 +00:03:29,290 --> 00:03:38,650 +والصحابة والموسيقى بسبب الصوت لذا دعنا نكون اليوم + +42 +00:03:38,650 --> 00:03:46,710 +أكثر .. أقرب من القصة نفسها تشاهد هنا عامة الأسلحة + +43 +00:03:46,710 --> 00:03:49,110 +التي أتجهت لـBud وBloom + +44 +00:03:56,430 --> 00:04:01,470 +السيارة الليلة مع أسلحاب وانها تغيب الأسلحة لعينها + +45 +00:04:01,470 --> 00:04:09,650 +قد أخبرت نفسها أن الصيف قادم لأن كل أسلحة تنفذ + +46 +00:04:09,650 --> 00:04:16,490 +الأن قلبها قمت بتحطم رأسه القديم على الحرارة البحر + +47 +00:04:16,490 --> 00:04:21,010 +يشجع ويشجع ويشجع ويشجع ويشجع ويشجع ويشجع ويشجع + +48 +00:04:21,010 --> 00:04:21,450 +ويشجع ويشجع ويشجع ويشجع ويشجع ويشجع ويشجع ويشجع + +49 +00:04:21,450 --> 00:04:25,920 +ويشجع ويشجع ويشجع ويشجع والاخر، كل أسلحة في طريقها + +50 +00:04:25,920 --> 00:04:30,320 +التي تسلسل، الـSwift Swallow تسلسل أسلحة الطيور، + +51 +00:04:30,320 --> 00:04:36,280 +الـBusy Bee تسلسل أسلحة الحلوة، وانت رجوان، لأوازه + +52 +00:04:36,280 --> 00:04:41,560 +الأفواز، ليل، وكذلك، وكذلك أرى أمام هذه الأشياء + +53 +00:04:41,560 --> 00:04:46,140 +الممتعة، كل حاجة تتسلسل، ومع ذلك، حزر حزر حزر حزر + +54 +00:04:46,140 --> 00:04:48,800 +حزر حزر حزر حزر حزر حزر حزر حزر حزر حزر حزر حزر + +55 +00:04:48,800 --> 00:04:48,900 +حزر حزر حزر حزر حزر حزر حزر حزر حزر حزر حزر حزر + +56 +00:04:48,900 --> 00:04:54,350 +حزر حزر حزر حزرأنا قد قد قد قد قد قد قد قد قد قد + +57 +00:04:54,350 --> 00:04:54,910 +قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد + +58 +00:04:54,910 --> 00:04:59,110 +قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد + +59 +00:04:59,110 --> 00:05:00,130 +قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد + +60 +00:05:00,130 --> 00:05:00,870 +قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد + +61 +00:05:00,870 --> 00:05:22,150 +قد قد قد قد قد قد قد قد قد قد قد قد قد قد قد + +62 +00:05:22,150 --> 00:05:29,500 +قدالدراجة للحياة في الصيف، تعرفين الصيف؟ كما قلنا + +63 +00:05:29,500 --> 00:05:37,720 +هو دائما مرتبط بـRebirth وهنا مثلا، حسنا، السنة + +64 +00:05:37,720 --> 00:05:40,920 +الأخيرة هي الـ budding، تعرفين، السنة هي الـ + +65 +00:05:40,920 --> 00:05:45,160 +budding وهنا، بالطبع، لديك متونوميه، عندما نقول + +66 +00:05:45,160 --> 00:05:51,660 +السنة، يعني مثل الـ budding، هي مثل كل الصيف، مثل + +67 +00:05:51,660 --> 00:06:02,010 +شجره،ولكننا نرى أن السنة مثل شخص يغطي الوصفة + +68 +00:06:02,010 --> 00:06:08,010 +باللون الأحمر، فالسنة + +69 +00:06:08,010 --> 00:06:14,190 +التي تأتي من الشجرة والأسلحة، مع الحلو الأحمر + +70 +00:06:14,190 --> 00:06:15,890 +والأسلحة، + +71 +00:06:19,080 --> 00:06:23,580 +لذلك، منذ البداية، كما تعلمين، الرسول أردت أن + +72 +00:06:23,580 --> 00:06:31,640 +يرينا أن هذه الجمال أو هذا الانهيار يدمر كل + +73 +00:06:31,640 --> 00:06:37,060 +المنطقة، وانت ترى هذا الانهيار من الشمس نفسها، لأن + +74 +00:06:37,060 --> 00:06:42,080 +الشمس مثل ماذا؟ مثل رجل يحاول أن يغطي، كما تعلمين، + +75 +00:06:42,080 --> 00:06:49,670 +بلور أخضر، الـ Nightingalewith feathers now she + +76 +00:06:49,670 --> 00:06:54,330 +sings accordingly you know like because it is a + +77 +00:06:54,330 --> 00:06:59,330 +season of rebirth so we expect that everything is + +78 +00:06:59,330 --> 00:07:03,970 +going to be jovial happy you know so it is not + +79 +00:07:03,970 --> 00:07:06,990 +like the nightingale with feathers now she sings + +80 +00:07:06,990 --> 00:07:10,810 +I'm paraphrasing the nightingale is happy and you + +81 +00:07:10,810 --> 00:07:15,890 +know singing the most melodious songs the turtle + +82 +00:07:15,890 --> 00:07:21,080 +to her make had told her taleمرة أخرى، القطر قدر، + +83 +00:07:21,080 --> 00:07:31,120 +لدينا رجل و امرأة، لأنهم يتعاملون في علاقات الحب، + +84 +00:07:31,120 --> 00:07:33,120 +يتعاملون في علاقات الحب، يتعاملون في علاقات الحب، + +85 +00:07:33,120 --> 00:07:40,950 +يتعاملون في علاقات الحب،الصيف قد أتيت، فهي اعلانية + +86 +00:07:40,950 --> 00:07:47,270 +مثل كل الحيوانات التي تعلن أن الصيف قادمة و الصيف + +87 +00:07:47,270 --> 00:07:54,270 +في إنجلترا مقابلة مع .. مع .. لا، مع الصيف، لذلك + +88 +00:07:54,270 --> 00:07:57,390 +أحيانًا يكون صعب معرفة ما هو الصيف و ما هو الصيف، + +89 +00:07:57,390 --> 00:08:01,830 +لذلك الصيف هيمثل الصيف في إنجلترا، الصيف قد أتيت + +90 +00:08:01,830 --> 00:08:07,640 +لجميع الانفجارات اللي هي الصيفكل طعام، كل جزء من + +91 +00:08:07,640 --> 00:08:16,720 +الطعام يتردد، يتردد، قلبه مقفل، كله مقفل، كله + +92 +00:08:16,720 --> 00:08:26,120 +مقفل، كله مقفل، كله + +93 +00:08:26,120 --> 00:08:27,900 +مقفل، كله مقفل، كله مقفل، كله مقفل، كله مقفل، كله + +94 +00:08:27,900 --> 00:08:28,600 +مقفل، كله مقفل، كله مقفل، كله مقفل، كله مقفل، كله + +95 +00:08:28,600 --> 00:08:34,540 +مقفل، كله مقفل، كله مقفل، كله مقفل، كلههم يذهبون + +96 +00:08:34,540 --> 00:08:40,840 +ويحضرون حياته جديدة ويصبحون مهتمين جدًا الـBuck، + +97 +00:08:40,840 --> 00:08:45,360 +اللي هو مخلوق عميل أو حيوان، يقوم بإسقاط جسده + +98 +00:08:45,360 --> 00:08:49,420 +الشمس، ويقوم بإسقاطه. إنه مثل الـRepair، إنه + +99 +00:08:49,420 --> 00:08:56,160 +تجهيزة، حتى الجلد، كل شيء يستخدم جزء جديد. الفحشين + +100 +00:08:56,160 --> 00:08:59,080 +يسقطون بجزء جديد من الـRepair، مثل ما ترون هنا، + +101 +00:08:59,080 --> 00:09:05,120 +ليس فقط الأرض، لكن أيضًا المحيط.الاخرى، الاخرى، + +102 +00:09:05,120 --> 00:09:08,440 +كما تعلمين، السمك، كل أسلعبها، طريقها التي تسلق، + +103 +00:09:08,440 --> 00:09:13,540 +كما تعلمين، الاخرى يتخلص من السلعب القديم، اسمه + +104 +00:09:13,540 --> 00:09:17,860 +السلعب، ومحطة الـSwift Swallow، الـPersus، تطير من + +105 +00:09:17,860 --> 00:09:22,640 +واحد، كما تعلمين، جزء من الشجرة إلى جزء آخر، لكي + +106 +00:09:22,640 --> 00:09:28,960 +تقتل، كما تعلمين، طيران، الـBusy Bee، الـBusy Bee، + +107 +00:09:29,510 --> 00:09:33,430 +I mean the bees of course in summer because you + +108 +00:09:33,430 --> 00:09:36,070 +know like there are a lot of flowers so bees are + +109 +00:09:36,070 --> 00:09:42,330 +busy going to every flower to suck what؟ The + +110 +00:09:42,330 --> 00:09:45,630 +nectar not honey you know like before the nectar + +111 +00:09:45,630 --> 00:09:48,670 +is being processed it becomes apple you know but + +112 +00:09:48,670 --> 00:09:51,350 +again I think you smell now you started .. did you + +113 +00:09:51,350 --> 00:09:55,730 +start to smell?مثلًا، عندما تقرأ هذه القصة، أعتقد + +114 +00:09:55,730 --> 00:10:02,350 +أنك تتخيل أن رأسنا مدعوم، وهذه هي الجمال من القصة، + +115 +00:10:02,350 --> 00:10:07,530 +لأن هذه القصة مليئة بالإيماجيات السنسية، مثل + +116 +00:10:07,530 --> 00:10:13,070 +الإيماجيات التي تدفع إلى رأسنا، بيزي بي، عزيزيها + +117 +00:10:13,070 --> 00:10:20,550 +الآن، إنهاوالـ Busy Bee تحاول تجمع النكتورات وكانت + +118 +00:10:20,550 --> 00:10:24,230 +مشغولة جدًا، وفي الميلاد، مرة أخرى، كانت مقرارة + +119 +00:10:24,230 --> 00:10:28,490 +أخرى لتوضيح أن كل شيء مغلق، مثلًا، الميلاد مرتبط + +120 +00:10:28,490 --> 00:10:32,750 +بميلاد الشمس، وكانت ميلاد الشمس خلفه، لم يكن هناك + +121 +00:10:32,750 --> 00:10:36,350 +أكثر تجول، لم يكن هناك أكثر موت، كل شيء الآن تم + +122 +00:10:36,350 --> 00:10:39,190 +إعطاء حياة جديدة، لذلك، إنها تذكرة أن هذا هو + +123 +00:10:39,190 --> 00:10:41,290 +الصيف، وهو أشهر التجول، + +124 +00:10:44,640 --> 00:10:52,340 +الأمس كانت الحمضانية ومن ثم .. و من ثم أرى من بين + +125 +00:10:52,340 --> 00:10:58,660 +هذه الأشياء الممتعة أن صديقنا يترك هذا خلفه و + +126 +00:10:58,660 --> 00:11:04,120 +يتكلم عن نفسه و من ثم أرى من بين هذه الأشياء + +127 +00:11:04,120 --> 00:11:08,140 +الممتعة أن كل حاجة تتخلص و كل حاجة تأتي إلى نهاية + +128 +00:11:08,140 --> 00:11:14,770 +محزنتي و أعتقد أننا نشعر معذرة عنهوهو جميل جدًا، + +129 +00:11:14,770 --> 00:11:23,650 +وهو شخصي جدًا، دعنا نتجه إلى هذه القصة من + +130 +00:11:23,650 --> 00:11:26,710 +نظر نظرها من نظرها من نظرها من نظرها من نظرها من + +131 +00:11:26,710 --> 00:11:26,830 +نظرها من نظرها من نظرها من نظرها من نظرها من نظرها + +132 +00:11:26,830 --> 00:11:27,510 +من نظرها من نظرها من نظرها من نظرها من نظرها من + +133 +00:11:27,510 --> 00:11:30,510 +نظرها من نظرها من نظرها من نظرها من نظرها من نظرها + +134 +00:11:30,510 --> 00:11:31,270 +من نظرها من نظرها من نظرها من نظرها من نظرها من + +135 +00:11:31,270 --> 00:11:40,970 +من نظرها من نظرها من نظرها من نظرها من نكما تعلمين + +136 +00:11:40,970 --> 00:11:46,710 +كيف مثلًا إذا كنت تنظر إلى الصيف هنا إنه مثلًا + +137 +00:11:46,710 --> 00:11:54,850 +عندما تقرأ وكذلك تعمل أو تتخيل لذلك أشعارك تتطور و + +138 +00:11:54,850 --> 00:11:59,630 +بعد ذلك تتخيل جميع المشهد جميع المشهد تم إدعاءه تم + +139 +00:11:59,630 --> 00:12:02,130 +إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم + +140 +00:12:02,130 --> 00:12:03,710 +إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم + +141 +00:12:03,710 --> 00:12:04,130 +إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم + +142 +00:12:04,130 --> 00:12:04,530 +إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم إدعاءه تم + +143 +00:12:04,530 --> 00:12:12,840 +إدعاءه تم إدعاءه تم إدعاءاللحظة نفسها، اللحظة، هي + +144 +00:12:12,840 --> 00:12:19,460 +صورة رسمية التي تجعلنا نتخيل جميع الـVista تكون + +145 +00:12:19,460 --> 00:12:25,680 +أحمر، الـNightingale مع أغانيها الملوكية، الصورة + +146 +00:12:25,680 --> 00:12:34,620 +الصوتية تقدم، لذلك نحن نحصل على صورة صورة جديدة من + +147 +00:12:34,620 --> 00:12:35,220 +الـRiberto + +148 +00:12:37,890 --> 00:12:41,770 +ولكن ما رأيته في أول حلقة كانت سيزن + +149 +00:12:41,770 --> 00:12:56,650 +السوووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووووو + +150 +00:13:05,260 --> 00:13:13,140 +ولكن ما أهتمني به هو الاختلاف من بط و بلوم و برنز، + +151 +00:13:13,140 --> 00:13:22,820 +بب، بب، بب، أتعرفين؟ الاختلاف هذا مرتبط بقوة، + +152 +00:13:22,820 --> 00:13:28,380 +قوة، أتعرفين؟ وماذا يعني هذا؟ ماذا يعني هذا؟ + +153 +00:13:32,390 --> 00:13:35,130 +هل هذا يعني صعوبته؟ لا. + +154 +00:13:39,350 --> 00:13:46,910 +نعم، هذا أفضل. نعم، التغيير .. حركة التغيير قوية + +155 +00:13:46,910 --> 00:13:50,670 +جدا. انت تعلمين؟ هذا شيء لا يمكن أن يتم تغييره. + +156 +00:13:52,050 --> 00:13:57,350 +انت تعلمين ما أقصد؟ هذا قوي جدا. حركة الحياة، حركة + +157 +00:13:57,350 --> 00:13:59,670 +التعيش قوية جدا. + +158 +00:14:04,200 --> 00:14:12,780 +والجمهور قطع الجحيم وأكل الـ Veil فهو .. نحن نتكلم + +159 +00:14:12,780 --> 00:14:22,700 +عن الجحيم و .. تعلمين، الجبهة، لذلك التغيير ليس + +160 +00:14:22,700 --> 00:14:30,040 +محدودًا إلى مكان واحد، ولكنه يتفرج، هو في كل مكان، + +161 +00:14:30,040 --> 00:14:32,000 +تعلمين؟ إنه تغيير عيني + +162 +00:14:36,750 --> 00:14:43,050 +نعم، الـ Nightingale، ولكن انظر هنا، إيك، قلنا إنه + +163 +00:14:43,050 --> 00:14:49,750 +كذلك، أعتقد أنك تعلمين، في هذه القصة، مثل ما قلتيه + +164 +00:14:49,750 --> 00:14:54,130 +السابقة، بعضكما كانوا مهتمين لأن القصة كانت تستخدم + +165 +00:14:54,130 --> 00:14:58,610 +كلمات عشوائية، ولكن كما ذكرت، كلمات عشوائية، يجب + +166 +00:14:58,610 --> 00:15:02,650 +أن تفعل، تعرفين، يجب أن تفعل مع هذا الوضع اللازم، + +167 +00:15:02,650 --> 00:15:06,660 +كما يفعل عادة بعض القصارىembellish I mean mainly + +168 +00:15:06,660 --> 00:15:10,460 +you know 16th century like Howard himself wanted + +169 +00:15:10,460 --> 00:15:13,460 +to embellish poetry with you know some Latin + +170 +00:15:13,460 --> 00:15:18,060 +references and I think in this poem like the word + +171 +00:15:18,060 --> 00:15:23,160 +save it is taken from Latin and you know this is + +172 +00:15:23,160 --> 00:15:26,180 +old English not old English I would say Chaucerian + +173 +00:15:26,180 --> 00:15:30,940 +English Chaucer was using the set of sweet suit + +174 +00:15:30,940 --> 00:15:36,140 +you know and he was using a eggعشان كثير، فهو + +175 +00:15:36,140 --> 00:15:40,620 +مصطلح بطريقة عرقية للإنجليزية لإعطاء روحانية وهو + +176 +00:15:40,620 --> 00:15:48,900 +سيضيف جمال للقصة نفسها الـ Nightingale + +177 +00:15:48,900 --> 00:15:56,600 +with feathers now she sings، فهي أمازونة، و منذ + +178 +00:15:56,600 --> 00:16:03,180 +البدايةالسنة موجودة في كل مكان لذلك الآن جميع + +179 +00:16:03,180 --> 00:16:10,820 +الحيوانات تجمع لذلك إنها مصيفة محفوظة إنها مصيفة + +180 +00:16:10,820 --> 00:16:15,380 +محفوظة وخلقية الناتنجيل مع الأسلحة الآن هي تغني + +181 +00:16:15,380 --> 00:16:24,160 +وهذه كما ترى صورة ماهي الصورة؟ عندما تحب الناتنجيل + +182 +00:16:24,160 --> 00:16:32,030 +صوته وVisual. It's a visual. And even what we call + +183 +00:16:32,030 --> 00:16:34,910 +kinetic image. Kinetic because there is a + +184 +00:16:34,910 --> 00:16:40,090 +movement. We imagine, we see, we listen like to + +185 +00:16:40,090 --> 00:16:44,730 +the nightingale. So the nightingale is jovial. + +186 +00:16:45,450 --> 00:16:47,910 +Why? Because it is .. you know this is the + +187 +00:16:47,910 --> 00:16:51,710 +atmosphere of happiness. This is the atmosphere of + +188 +00:16:51,710 --> 00:16:57,230 +celebration. The nightingale with feathers.اللي + +189 +00:16:57,230 --> 00:17:03,570 +بيبقى جديدة تغيّرها جديدة كما ترى؟ مثلًا، هنا + +190 +00:17:03,570 --> 00:17:09,970 +لدينا هذا ما نسميه بوتني مو .. كما ترى، إنه ملتقى، + +191 +00:17:09,970 --> 00:17:16,930 +مثلًا، لذلك كل شيء يُعطيه شكل جديد، وجود جديد، جسد + +192 +00:17:16,930 --> 00:17:19,230 +جديد، جسد جديد، جسد جديد، جسد جديد، جسد جديد، جسد + +193 +00:17:19,230 --> 00:17:20,070 +جديد، جسد جديد، جسد جديد، جسد جديد، جسد جديد، جسد + +194 +00:17:20,070 --> 00:17:20,190 +جديد، جسد جديد، جسد جديد، جسد جديد، جسد جديد، جسد + +195 +00:17:20,190 --> 00:17:24,430 +جديد، جسد جديد، جسد جديد، جسد جديد، جس + +196 +00:17:26,230 --> 00:17:33,670 +هنا كما تعلمين مرة أخرى لو تتذكرين أن صديقنا .. + +197 +00:17:33,670 --> 00:17:42,400 +أعني الرسول كانالنوبل وكان شخصي جدا كان من حياته + +198 +00:17:42,400 --> 00:17:48,540 +النوبل وكان هذا مثل نوع من إفاميزم مثلما أنه لم + +199 +00:17:48,540 --> 00:17:53,420 +يرغب في التحدث عن الأشياء بشكل عميق وقلنا أن هذا + +200 +00:17:53,420 --> 00:18:02,300 +مثل المنطقة للتواصل المتواصل هي هناك + +201 +00:18:02,300 --> 00:18:10,830 +لأن كل شيء مرتبط كل شيء يتعاملالشمس قد أتيت لكل + +202 +00:18:10,830 --> 00:18:18,590 +الآن لكل حرارة الـSpring الشمس قد أتيت، تعلمين؟ + +203 +00:18:18,590 --> 00:18:23,250 +مرة أخرى، نحن مذكرين أن .. من الوصول للشمس، تعرفين + +204 +00:18:23,250 --> 00:18:28,190 +الوصول؟ الوصول للشمس، الشمس قد أتيت لكل حرارة + +205 +00:18:28,190 --> 00:18:34,890 +الـSpring مرة أخرى، مثل الانتقال اللي .. تعرفين، + +206 +00:18:34,890 --> 00:18:41,670 +يظهر كيف ..كل شيء كان .. كان يظهر كم كان الصورة + +207 +00:18:41,670 --> 00:18:46,310 +جميلة من صوتها قلبها + +208 +00:18:46,310 --> 00:18:53,470 +قمت بتحطم جميع حجبها على النار، انظر لقلبها، انت + +209 +00:18:53,470 --> 00:18:56,390 +تعرف؟ انها مثل .. انت تعرف؟ انها تخرج، لأن الجميع + +210 +00:18:56,390 --> 00:19:02,660 +.. يا ربي، هو مخلص من المفاجأةأنت تعرف؟ كل واحد + +211 +00:19:02,660 --> 00:19:07,560 +يأخذ المفاجأة من هذا الـ Advent والجوال، الـSeed. + +212 +00:19:07,560 --> 00:19:14,700 +قلبه قد قضى عقله على الـPail. الـBuck يصيب في + +213 +00:19:14,700 --> 00:19:19,600 +رأسه. يفلنق قطعه في الميلاد. أعتقد أن كل هذه هم + +214 +00:19:19,600 --> 00:19:25,080 +تصفيات شخصية. وقلنا، ما هي تصفيات شخصية؟ إنها مثل + +215 +00:19:25,080 --> 00:19:29,690 +صفقةماذا يسمى personification؟ نعم إنها تسمية أو + +216 +00:19:29,690 --> 00:19:36,210 +شخصية أو شخصية أو شخصية أو شخصية أو شخصية أو شخصية + +217 +00:19:36,210 --> 00:19:37,270 +أو شخصية أو شخصية أو شخصية أو شخصية أو شخصية أو + +218 +00:19:37,270 --> 00:19:38,910 +أو شخصية أو شخصية أو شخصية أو شخصية أو شخصية أو + +219 +00:19:38,910 --> 00:19:40,750 +شخصية أو شخصية أو شخصية أو شخصية أو شخصية أو شخصية + +220 +00:19:40,750 --> 00:19:42,330 +أو شخصية أو شخصية أو شخصية أو شخصية أو شخصية أو + +221 +00:19:42,330 --> 00:19:44,310 +شخصية أو شخصية أو شخصية أو شخصية أو شخصية أو شخصية + +222 +00:19:44,310 --> 00:19:52,550 +أو شخصية أو شخصية أو + +223 +00:19:52,550 --> 00:19:54,710 +شخ + +224 +00:19:56,060 --> 00:20:04,560 +الحيوانات تحول إلى مستعمر جديد مستعمر مستعمر + +225 +00:20:04,560 --> 00:20:09,880 +مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر + +226 +00:20:09,880 --> 00:20:09,900 +مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر + +227 +00:20:09,900 --> 00:20:09,960 +مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر + +228 +00:20:09,960 --> 00:20:10,920 +مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر + +229 +00:20:10,920 --> 00:20:16,640 +مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر مستعمر + +230 +00:20:16,640 --> 00:20:25,100 +مستعم + +231 +00:20:26,070 --> 00:20:29,210 +It's a reptile. So reptile, animals, birds, you + +232 +00:20:29,210 --> 00:20:34,570 +know. Everything. The other, all her slough, away + +233 +00:20:34,570 --> 00:20:39,790 +she slings. Imagine how lovely, you know. I know + +234 +00:20:39,790 --> 00:20:43,670 +it's a frightening image, but still like there is + +235 +00:20:43,670 --> 00:20:46,750 +something beautiful about, you know, the skin or + +236 +00:20:46,750 --> 00:20:52,840 +the slough of a snake. The swift swallow.الـ Swift + +237 +00:20:52,840 --> 00:20:58,020 +Swallow. It's a visual, kinetic, sound, image. The + +238 +00:20:58,020 --> 00:21:04,060 +Swift Swallow. A way she slings. The Swift Swallow + +239 +00:21:04,060 --> 00:21:09,180 +pursues the fly's snail. It's, you know, this is + +240 +00:21:09,180 --> 00:21:13,300 +how, you know, regeneration happens. We have the + +241 +00:21:13,300 --> 00:21:16,660 +image of life and death. So as you see here, you + +242 +00:21:16,660 --> 00:21:22,060 +know, okayالعيش يعني مثلًا أن بعض المخلوقات تطعم + +243 +00:21:22,060 --> 00:21:27,600 +المخلوقات الأخرى، فهو حياته، المخلوق السودسي يقابل + +244 +00:21:27,600 --> 00:21:36,200 +الطيب، و ربما المخلوق يمكنه أن يكون مخلوقه بماذا؟ + +245 +00:21:36,200 --> 00:21:45,110 +بمخلوق الآخر، فهذا هو الطبيعة، هذا هو السيكلthe + +246 +00:21:45,110 --> 00:21:49,190 +busy bee her honey now she sings it's an image of + +247 +00:21:49,190 --> 00:21:55,750 +the busy bee and we said this busy bee it is an + +248 +00:21:55,750 --> 00:22:02,730 +example of onomatopoeia onomatopoeia you know it + +249 +00:22:02,730 --> 00:22:07,750 +shows how vital and active you know the creatures + +250 +00:22:07,750 --> 00:22:12,930 +are the busy bee her honey now she brings spelling + +251 +00:22:13,160 --> 00:22:19,700 +العشاء كانت بيب العشاء كانت خلفها وهو اخر اعلان + +252 +00:22:19,700 --> 00:22:28,660 +يذكرنا ان كل شيء قد تغير و بعد ذلك فجأة نحن + +253 +00:22:28,660 --> 00:22:37,520 +لدينا الرسول يدفع الاهتمام الى حالته و كذلك و كذلك + +254 +00:22:37,520 --> 00:22:41,460 +انا ارى بين هذه الأشياء الجميلة هذه الأشياء + +255 +00:22:41,460 --> 00:22:45,030 +الجميلةstill like they are in front of him not + +256 +00:22:45,030 --> 00:22:48,890 +those each + +257 +00:22:48,890 --> 00:22:54,770 +curve decays and yet my sorrow springs I think + +258 +00:22:54,770 --> 00:22:59,090 +this line each curve decays each curve comes to an + +259 +00:22:59,090 --> 00:23:04,310 +end yet my sorrow springs look here the last line + +260 +00:23:04,310 --> 00:23:11,190 +is broken is broken by the pauseوالـ pose مميز بـ + +261 +00:23:11,190 --> 00:23:15,450 +Grammatical هناك كلمة جديدة فهناك pose و كلمة + +262 +00:23:15,450 --> 00:23:22,130 +جديدة وهذا ما نسميه في الكتابة سزورة سزورة هي pose + +263 +00:23:22,130 --> 00:23:28,210 +هي شيء في وسط القطة هي فترة يمكن أن تكون مصممة + +264 +00:23:28,210 --> 00:23:32,070 +يمكن أن تكون pose وكل حاجة .. لذلك عندما نقرأها + +265 +00:23:32,070 --> 00:23:40,390 +نقول وكل حاجة تتلقى وكأن هناك poseأحزن حزيني قلبي + +266 +00:23:40,390 --> 00:23:47,270 +إنها مفاجأة، أليس كذلك؟ ما هي المفاجأة؟ المفاجأة + +267 +00:23:47,270 --> 00:23:50,630 +والعزيزي، المفاجأة مثلًا، كيف؟ + +268 +00:23:54,290 --> 00:24:01,930 +الحزن ينفجر، الحزن ينفجر، عندما + +269 +00:24:01,930 --> 00:24:10,230 +شيء ينفجر، يتغير إلى حالة أفضل، ولكن مثل هذا، + +270 +00:24:10,230 --> 00:24:18,850 +الحزن ينفجر، لكن كما قلنا، هنا لدينا تقنية رائعة + +271 +00:24:19,720 --> 00:24:25,420 +كما تعلمين في الاسطينيسيكا نسميها تقنية الانتقال + +272 +00:24:25,420 --> 00:24:32,800 +كما ترى ان الانتقال يضع الأشياء جزء من جزء من جزء + +273 +00:24:32,800 --> 00:24:34,800 +من جزء من جزء من جزء من جزء من جزء من جزء من جزء + +274 +00:24:34,800 --> 00:24:35,160 +من جزء من جزء من جزء من جزء من جزء من جزء من جزء + +275 +00:24:35,160 --> 00:24:35,500 +من جزء من جزء من جزء من جزء من جزء من جزء من جزء + +276 +00:24:35,500 --> 00:24:45,860 +من جزء من جزء من جزء من جزء من جزء من جزء من + +277 +00:24:45,860 --> 00:24:53,540 +جزوالوضع في القصيدة، فالجمهور يتغير، الجمهور يبقى + +278 +00:24:53,540 --> 00:24:58,860 +جمالًا، وكذلك الوضع في القصيدة يبقى كما هو، وحتى + +279 +00:24:58,860 --> 00:25:02,680 +أنه يصبح أسوأ، لأن الجمهور يتسلق، يزال يزال يزال + +280 +00:25:02,680 --> 00:25:04,520 +يزال يزال يزال يزال يزال يزال يزال يزال يزال يزال + +281 +00:25:04,520 --> 00:25:10,320 +يزال يزال يزال يزال + +282 +00:25:15,080 --> 00:25:22,720 +الان حالتنا أصبحت عرنية جدا، كيف يمكن أن كل شيء + +283 +00:25:22,720 --> 00:25:28,300 +يتغير وحالتك تبقى نفسه؟ لذلك هنا نحن نحن نحن نحن + +284 +00:25:28,300 --> 00:25:29,100 +نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن + +285 +00:25:29,100 --> 00:25:31,740 +نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن + +286 +00:25:31,740 --> 00:25:32,660 +نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن + +287 +00:25:32,660 --> 00:25:33,060 +نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن + +288 +00:25:33,060 --> 00:25:41,230 +نحن نحن نحن نحن نحن نحن نحن نبالطبع، كل هذه .. كما + +289 +00:25:41,230 --> 00:25:46,470 +قلت لك، لا يمكننا نتحدث عن كل أساطيكي في كل قصة + +290 +00:25:46,470 --> 00:25:50,670 +نحن ندرسها، لكن نستطيع أن نحصل على بعض من هذه، + +291 +00:25:50,670 --> 00:25:57,910 +ويمكنك أن تضيف شيء إذا كان عليك أن تضيفه. الأن، + +292 +00:25:57,910 --> 00:26:04,090 +هذا كما قلنا، ليس هنري هاورد اللي أقدم هذا الموضوع + +293 +00:26:05,710 --> 00:26:11,750 +كما تعلمون، لكن كان سير توماس واقعي، ولكن مثلًا، + +294 +00:26:11,750 --> 00:26:18,850 +لقد تطور هذا البرنامج، وإذا تنظر هنا ترى هذا، ماهو + +295 +00:26:18,850 --> 00:26:25,070 +نوع التطور اللذي فعله؟ ماهو نوع التطور؟ نعم، + +296 +00:26:25,070 --> 00:26:32,190 +الوزيرة من ثلاث مقاطع، فماذا تعني بذلك؟ + +297 +00:26:34,910 --> 00:26:40,270 +ماذا تعني بـ three quatrains؟ مثلًا، نعم مثلًا، + +298 +00:26:40,270 --> 00:26:47,270 +لدينا ثلاثة قصص، وكل قصص مصممة من أربع خطوط، و + +299 +00:26:47,270 --> 00:26:52,730 +لدينا مجموعة منها، لذلك، هذا هو نوع من الخروج، + +300 +00:26:52,730 --> 00:26:57,850 +الخروج من الصونة البتراركية. الصونة البتراركية + +301 +00:26:57,850 --> 00:27:04,070 +كانت صعبة قليلًا، لأنك لديك العقب والسستر. هنا كما + +302 +00:27:04,070 --> 00:27:12,470 +ترى،A you know and here it is made clear A + +303 +00:27:12,470 --> 00:27:31,640 +you know A B A B and then C E C R sorryA,B,A,B,A,B + +304 +00:27:31,640 --> 00:27:41,280 +,A,B,A,B,A + +305 +00:27:41,280 --> 00:27:45,740 +,B + +306 +00:27:49,340 --> 00:27:56,740 +A,B,A + +307 +00:27:56,740 --> 00:28:01,160 +,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B + +308 +00:28:01,160 --> 00:28:06,640 +,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A + +309 +00:28:06,640 --> 00:28:06,660 +,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B,A,B + +310 +00:28:06,660 --> 00:28:09,700 +,B,A,B,A,B,A,B,A,B, + +311 +00:28:18,840 --> 00:28:25,520 +flexible form. Henry Howard also you know this + +312 +00:28:25,520 --> 00:28:29,000 +poem is written in iambic pentameter and we said + +313 +00:28:29,000 --> 00:28:34,020 +the iambic pentameter is very musical. So if you + +314 +00:28:34,020 --> 00:28:41,460 +look at the سو سي زق دق بق and لوم فورت brings it + +315 +00:28:41,460 --> 00:28:46,340 +is تي تم تي تم it should be like this سو سي زق دق + +316 +00:28:46,340 --> 00:28:51,720 +بق and لوم فورت bringsانها موسيقية جدًا وانا أعتقد + +317 +00:28:51,720 --> 00:28:59,980 +أن هذا مناسب للصورة نفسها كما ذكرنا عندما كنا نقوم + +318 +00:28:59,980 --> 00:29:05,000 +بالانتقال كيف ايان بيك بنتامتر هو جدًا .. فهذا + +319 +00:29:05,000 --> 00:29:08,800 +جدًا سيستماتيكي كان مبغضاً من استخدام ايان بيك + +320 +00:29:08,800 --> 00:29:14,160 +بنتامتر وحتى مثلًا انه اكتشف قصة غامضة وقصة غامضة + +321 +00:29:14,160 --> 00:29:18,060 +غامضة كانت غامضة وغامضة + +322 +00:29:20,250 --> 00:29:24,990 +I don't want you to be disturbed but look here you + +323 +00:29:24,990 --> 00:29:28,550 +just like look with the green it is unstressed + +324 +00:29:28,550 --> 00:29:32,110 +stressed unstressed stressed unstressed stressed + +325 +00:29:32,110 --> 00:29:36,370 +like the choice of this was like to show some + +326 +00:29:36,370 --> 00:29:45,760 +musicalityبعض الكتابين قد يلعب مع الميتر لبعض + +327 +00:29:45,760 --> 00:29:51,020 +الأفعال هنا هو لا يلعب بل هو يقدر البرنامج على + +328 +00:29:51,020 --> 00:29:51,500 +عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة + +329 +00:29:51,500 --> 00:29:58,500 +عن البرنتامتر الأيابيكي عبارة + +330 +00:29:58,500 --> 00:29:58,580 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +331 +00:29:58,580 --> 00:29:58,620 +عن عبارة عن عبارة عن عبارة عن عبارة عن عبارة عن + +332 +00:29:58,620 --> 00:30:04,540 +عن عبارة عن عبارة عن عبارة عن عبارة + +333 +00:30:04,540 --> 00:30:10,950 +عن عبوفي الـ Critical Plan، إذا تتذكرين هذه + +334 +00:30:10,950 --> 00:30:15,530 +المجالة، نحن مرتبطين، نحن قادرين على أن لا نكون + +335 +00:30:15,530 --> 00:30:22,110 +غاضبينSo because you know I thought some of you + +336 +00:30:22,110 --> 00:30:25,310 +when you read description of spring you jump to + +337 +00:30:25,310 --> 00:30:29,590 +this conclusion that you know this poem is about + +338 +00:30:29,590 --> 00:30:36,230 +spring and you fail to read the last couplet. Did + +339 +00:30:36,230 --> 00:30:40,300 +it happen to you? Did it happen to you?At the + +340 +00:30:40,300 --> 00:30:44,500 +beginning the poem is intriguing you just look and + +341 +00:30:44,500 --> 00:30:46,900 +you say wow this is a wonderful description of + +342 +00:30:46,900 --> 00:30:52,870 +spring and suddenly you ignoreمثلًا، كما تعلمين، + +343 +00:30:52,870 --> 00:30:56,490 +خطوة معينة. في الـ Critical Plan، أنت مدرس، مثلًا، + +344 +00:30:56,490 --> 00:31:01,630 +الجزء الذي أعطيته. يجب أن نقرأ القصة منذ البداية، + +345 +00:31:01,630 --> 00:31:07,290 +كما تعلمين، قبل أن نعطي قرار أو قبل أن نتحدث عن، + +346 +00:31:07,290 --> 00:31:11,250 +كما تعلمين، أهمية القصة، يجب أن نقرأ القصة كحول. + +347 +00:31:11,610 --> 00:31:14,190 +ولكن أعتقد، كما تعلمين، في الـ Critical Plan، + +348 +00:31:14,190 --> 00:31:20,150 +أدخلت لك هذه القصة، وهي الـLever by Grapes + +349 +00:31:22,130 --> 00:31:26,310 +ولا أعرف إنكم جميعًا قررتم قراءة هذه القصة أو لا + +350 +00:31:26,310 --> 00:31:31,450 +هل قررتم قراءة هذه القصة؟ دعنا نقرأ هذه القصة قريب + +351 +00:31:31,450 --> 00:31:35,090 +من مارتين بوست تلك الليلة من الجحيم أثنان رجال + +352 +00:31:35,090 --> 00:31:39,390 +كانوا مخلصين من نفس الشمس جميعًا يتسلقون في نفس + +353 +00:31:39,390 --> 00:31:45,350 +النار غير مسموحة وغير مخلصة مثل سلوتر شيطان واحد + +354 +00:31:45,350 --> 00:31:47,250 +كان عمره عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة + +355 +00:31:47,250 --> 00:31:50,010 +عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة + +356 +00:31:50,010 --> 00:31:50,770 +عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة + +357 +00:31:51,430 --> 00:31:55,770 +محاربة من الحرب، وليس من عشر عامًا إلى قريبًا. + +358 +00:31:56,530 --> 00:32:00,670 +الشام والعزيزة من قطارته، والأخر جاء من مدينة + +359 +00:32:00,670 --> 00:32:05,210 +بعيدة، ومساعدة على جسده ومساعدة على يديه. كان عارف + +360 +00:32:05,210 --> 00:32:09,870 +عن الموت والجحيم من قبل، في ميكسيكو وإكوادور، ولكن + +361 +00:32:09,870 --> 00:32:17,680 +في موته، رأسه كبير، يطول، أم، أم، كطفل.والعزيزة + +362 +00:32:17,680 --> 00:32:21,940 +المسلسلة في أسلوب الإنسان ماتت تبارك الله بإعادة + +363 +00:32:21,940 --> 00:32:28,320 +عظيمة. سيرجان سميث، أعزيز الناس، كتبت لنا اتصالات + +364 +00:32:28,320 --> 00:32:33,240 +و اتصالات من محادثته لتحرير + +365 +00:32:33,240 --> 00:32:38,820 +الناس من كل مجتمع. قد مات قد مات قد مات قد مات قد + +366 +00:32:38,820 --> 00:32:39,980 +مات قد مات قد مات قد مات قد مات قد مات قد مات قد + +367 +00:32:39,980 --> 00:32:40,020 +مات قد مات قد مات قد مات قد مات قد مات قد مات قد + +368 +00:32:40,020 --> 00:32:40,180 +مات قد مات قد مات قد مات قد مات قد مات قد مات قد + +369 +00:32:40,180 --> 00:32:45,580 +مات قد مات قد مات قد مات قد مات قد مات قد مات + +370 +00:32:49,050 --> 00:32:52,470 +أنا أعرف أنها صعبة ولكن كأن هذه القصة كانت تقدمت + +371 +00:32:52,470 --> 00:32:57,330 +لجامعة من الكتابة مثلكم وانت تعرفين ماذا؟ بعد أن + +372 +00:32:57,330 --> 00:33:01,710 +قرأت هذه القصة، أتيهم إلى هذه النتيجة التي في هذه + +373 +00:33:01,710 --> 00:33:04,590 +القصة، هناك .. هذه القصة هي عن اتجاه اتجاه اتجاه + +374 +00:33:04,590 --> 00:33:05,350 +اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه + +375 +00:33:05,350 --> 00:33:09,710 +اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه + +376 +00:33:09,710 --> 00:33:09,910 +اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه + +377 +00:33:09,910 --> 00:33:15,770 +اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه اتجاه ات + +378 +00:33:16,160 --> 00:33:23,680 +وما حدث هو في موتهم، كانت موقفهم عارف، والشخص اللي + +379 +00:33:23,680 --> 00:33:28,820 +كان شريرًا، أصبح أكتر قادرًا، والشخص اللي كان + +380 +00:33:28,820 --> 00:33:34,120 +قادرًا، أعني الفتران، أصبح شريرًا، هذا، كما + +381 +00:33:34,120 --> 00:33:40,940 +تعلمين، قرار مخلص، أعني قرار مخلص، ومثل هؤلاء + +382 +00:33:40,940 --> 00:33:46,100 +الطلاب اللي جاء إلى تلك النتيجة، لم يقرروا القصة، + +383 +00:33:46,420 --> 00:33:53,400 +والان لم ينظروا إلى الانتصار الأخير أو الانتصار + +384 +00:33:53,400 --> 00:33:58,920 +الأخير أو الانتصار الأخير. نعم، هم أسلوبين يتجمدوا + +385 +00:33:58,920 --> 00:34:02,500 +في نفس الـChill. كما تعلمون، هؤلاء الطلاب لم + +386 +00:34:02,500 --> 00:34:09,580 +يتمكنوا من رؤية الـIrony. لم يتمكنوا من رؤية صوت + +387 +00:34:09,580 --> 00:34:14,880 +الـSarcasticism من الكتاب. مثلًا، نعم، ماتوا. كان + +388 +00:34:14,880 --> 00:34:20,780 +هناك رجلو مات كهروب و واحد كان .. أسف .. واحد مات + +389 +00:34:20,780 --> 00:34:25,620 +كهروب و الآخر مات كشخص مجنون لكن ماذا قال سيرجينت + +390 +00:34:25,620 --> 00:34:33,200 +سميث عنهم؟ ماذا فعله؟ سيرجينت سميث القديم من + +391 +00:34:33,200 --> 00:34:38,600 +الرجال كتبت كتبت كتبت كتبت كتبت كتبت كتبت كتبت + +392 +00:34:38,600 --> 00:34:41,320 +كتبت كتبت كتبت كتبت كتبت كتبت كتبت كتبت كتبت كتبت + +393 +00:34:41,320 --> 00:34:43,020 +كتبت كتبت كتبت كتبت كتبت كتبت كتبت كتبت كتبت كتبت + +394 +00:34:43,420 --> 00:34:48,560 +هذه طريقةه في كتابة الاسلام عندما يموت أسلحان، في + +395 +00:34:48,560 --> 00:34:55,960 +الاسلام وفي الاجتماعات وفي المساعدات، فقط لتحدث عن + +396 +00:34:55,960 --> 00:35:00,980 +الشخص الذي مات، لتشجع .. كيف كان الهدف؟ لتشجع + +397 +00:35:00,980 --> 00:35:07,460 +الناس كلها، فهو الهدف كان شخصيًا، لم يكن حقيقي على + +398 +00:35:07,460 --> 00:35:15,560 +الإطلاق، وماذا قال؟كل واحد قد مات في موت أسلوب هل + +399 +00:35:15,560 --> 00:35:20,360 +تعتقدين أن كل واحد مات في موت أسلوب كأسلوب لأن + +400 +00:35:20,360 --> 00:35:24,740 +واحد يقول ماذا؟ ماذا؟ هو كطفل والآخر يقول يا الله + +401 +00:35:24,740 --> 00:35:31,220 +وكان يكرسه هذا ما حدث لذلك، انظر هنا، هل هو حقيقي؟ + +402 +00:35:31,220 --> 00:35:37,660 +هل هو صادق؟ او هل هو مجنون؟ هو مجنون، قد مات في + +403 +00:35:37,660 --> 00:35:42,870 +موت أسلوبوكل جميع أصدقاء الشركة .. انظروا كيف هو + +404 +00:35:42,870 --> 00:35:47,830 +مخاطر .. انظروا كيف هو شخصي .. انظروا كيف هو شخصي + +405 +00:35:47,830 --> 00:35:48,010 +كيف هو شخصي .. انظروا كيف هو شخصي .. انظروا كيف هو + +406 +00:35:48,010 --> 00:35:48,030 +شخصي .. انظروا كيف هو شخصي .. انظروا كيف هو شخصي + +407 +00:35:48,030 --> 00:35:49,590 +انظروا كيف هو شخصي .. انظروا كيف هو شخصي .. انظروا + +408 +00:35:49,590 --> 00:35:52,930 +كيف هو شخصي .. + +409 +00:35:52,930 --> 00:36:00,950 +انظروا كيف + +410 +00:36:02,070 --> 00:36:03,690 +أنا مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +411 +00:36:03,690 --> 00:36:05,970 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +412 +00:36:05,970 --> 00:36:18,570 +مجرد مجرد مجرد مجرد مجرد + +413 +00:36:29,930 --> 00:36:35,310 +هنا، هو مثلًا يسلح المكان، إنه مكان، تعرفين، + +414 +00:36:35,310 --> 00:36:39,270 +مارتين بوست، Night of hell، اثنان رجال كانوا + +415 +00:36:39,270 --> 00:36:41,630 +مخلصين من نفس الـShell، كانت Shell، Artillery + +416 +00:36:41,630 --> 00:36:46,870 +Shell، معًا تقلقوا في واحد النار، غير مسموحي وغير + +417 +00:36:46,870 --> 00:36:50,890 +مدرس، بدون مدرس، مثل الـSlaughter Chiefواحد كان + +418 +00:36:50,890 --> 00:36:54,950 +عميل 18 عام .. هو يقول مثلا عن كل واحد .. واحد كان + +419 +00:36:54,950 --> 00:36:59,290 +عميل 18 عام وكان عميل بلو عيون .. كما تعلم .. جميل + +420 +00:36:59,290 --> 00:37:03,550 +جدًا كما تعلم .. وكان مدرس عندما كان صغير في الحرب + +421 +00:37:03,550 --> 00:37:09,790 +والآخر جاء وكان مثل مهرجان .. مجهود .. كان يقاتل + +422 +00:37:09,790 --> 00:37:13,810 +في كل مكان مثل الأسلحاب في قدافي .. كانوا أحضروا + +423 +00:37:13,810 --> 00:37:18,090 +من أفريقيا كما تعلم .. فكان يقاتل في كل مكان .. + +424 +00:37:18,090 --> 00:37:24,430 +لكن عندما ماتوا .. هذا ..هذا قال ماذا؟ ماذا؟ هو + +425 +00:37:24,430 --> 00:37:31,250 +كطفل، هل رأيت؟ لكن هل تعرفين ما قال السيجين؟ أنه + +426 +00:37:31,250 --> 00:37:40,490 +كان هروبًا، لذلك الآن يمكنك أن تفهم أن هذا الورق + +427 +00:37:40,490 --> 00:37:41,390 +يتعلق بال + +428 +00:37:47,260 --> 00:37:54,960 +هي حوار دولي ومجرد الهيبوكراسي هي فكرة الهيرووزم + +429 +00:37:54,960 --> 00:38:03,140 +كما تعلمين لأننا أحيانًا نتكلم عن الوصول لبعض + +430 +00:38:03,140 --> 00:38:07,920 +الناس اللي هم ليسوا هروز، هم ليسوا هروز لكن نحن + +431 +00:38:07,920 --> 00:38:14,000 +نعتقد أنهم هروز عرفين ما أقصد؟ لذلك كل مرة تأتي + +432 +00:38:18,510 --> 00:38:21,330 +to give a general statement you have to make sure + +433 +00:38:21,330 --> 00:38:26,150 +to read the poem this applies to our poem you know + +434 +00:38:26,150 --> 00:38:30,030 +like a description of spring we don't have to be + +435 +00:38:30,030 --> 00:38:35,950 +very hasty we have to think deeply you know okay + +436 +00:38:36,720 --> 00:38:39,840 +كما ترى، لا يجب علينا التخلص من هذه الاختصارة، هذه + +437 +00:38:39,840 --> 00:38:43,680 +القصة جميلة جدًا لأنا أحبها لأنها تتعلق بالإعادة + +438 +00:38:43,680 --> 00:38:44,320 +والإعادة والإعادة والإعادة والإعادة والإعادة + +439 +00:38:44,320 --> 00:38:45,240 +والإعادة والإعادة والإعادة والإعادة والإعادة + +440 +00:38:45,240 --> 00:38:45,560 +والإعادة والإعادة والإعادة والإعادة والإعادة + +441 +00:38:45,560 --> 00:38:46,340 +والإعادة والإعادة والإعادة والإعادة والإعادة + +442 +00:38:46,340 --> 00:38:46,900 +والإعادة والإعادة والإعادة والإعادة والإعادة + +443 +00:38:46,900 --> 00:38:51,480 +والإعادة والإعادة والإعادة والإعادة والإعادة + +444 +00:38:51,480 --> 00:38:57,600 +والإعادة والإعادة + +445 +00:38:57,600 --> 00:39:04,070 +والإعادة والإعقراءة هذه القصة وقراءة قصة would + +446 +00:39:04,070 --> 00:39:07,570 +make you come to this conclusion that this poem + +447 +00:39:07,570 --> 00:39:13,030 +seems to be about court love but we see here like + +448 +00:39:13,030 --> 00:39:16,550 +he is little bit different from our previous poet + +449 +00:39:16,550 --> 00:39:20,150 +because he is less offensive, he is very polite, + +450 +00:39:20,690 --> 00:39:23,930 +he is very gentle, he is not degrading women, he + +451 +00:39:23,930 --> 00:39:28,800 +is implyingوهكذا أشاهد أمام هذه الأشياء المجنونة + +452 +00:39:28,800 --> 00:39:37,700 +كل حاجة تتخلص ومع ذلك قلبي يتردد يعرف؟ هو مثلًا + +453 +00:39:37,700 --> 00:39:42,060 +واحد من قلوبنا واحد من حريةنا من هذا النوبل، هو + +454 +00:39:42,060 --> 00:39:47,840 +جدًا نوبل، أه؟ حسنًا، الأن، يعرفون، بعضكم قد يكون، + +455 +00:39:47,840 --> 00:39:51,800 +أقول إنه يبدو أنه عن الحب العظيم لأن في الصباح، + +456 +00:39:51,800 --> 00:39:55,220 +يعرفون، عندما كنت أقرأ هذه القصة، قلت، انتظر لحظة + +457 +00:39:57,090 --> 00:40:01,230 +هو قد لا يتعلق بالحياة السجنية، ولكن قد يتعلق + +458 +00:40:01,230 --> 00:40:04,950 +بالتعامل + +459 +00:40:04,950 --> 00:40:10,790 +مع مجتمعات أخرى. يمكن أن يتعلق بالحياة السجنية، + +460 +00:40:10,790 --> 00:40:18,970 +لأنه كان في السجن، وكان .. كما تعلم، كان الرجل + +461 +00:40:18,970 --> 00:40:25,880 +غاضبا معه طول الوقت، لذلك كان يتحدث عن الحياةعرفت + +462 +00:40:25,880 --> 00:40:31,760 +ان كل شخص في السجن كان يحصل على موقعه إلا منه، + +463 +00:40:31,760 --> 00:40:39,620 +فهذا مقرار آخر للقرآن يمكن أن يتعلق إلى مهارته + +464 +00:40:39,620 --> 00:40:46,160 +السياسية أو مهارته السياسية غير ناجحة في السجن 108 + +465 +00:40:46,160 --> 00:40:52,670 +لأن 108 كما أخبرتك كانوالشخص اللي كان مختلفًا جدًا + +466 +00:40:52,670 --> 00:41:00,090 +ومسكينًا وإكسينتريكًا، ولم يكن يحب أن أحد يقاتله، + +467 +00:41:00,090 --> 00:41:07,110 +وكان هذا الشخص مقاتلًا، لهذا السبب كان مهددًاand + +468 +00:41:07,110 --> 00:41:11,030 +in fact I wanted to show you today like the scene + +469 +00:41:11,030 --> 00:41:14,510 +of his trial but hopefully next time before we + +470 +00:41:14,510 --> 00:41:18,990 +start like our next poem I can show you this okay + +471 +00:41:18,990 --> 00:41:23,330 +this is enough about the poem but if you have any + +472 +00:41:23,330 --> 00:41:29,230 +question you know you can ask before that of + +473 +00:41:29,230 --> 00:41:35,330 +course now it is your responsibility to write you + +474 +00:41:35,330 --> 00:41:39,830 +know to writeأتعرف على ..أتعرف على ..أعني مصادر + +475 +00:41:39,830 --> 00:41:45,970 +مهمة لهذا يمكنك أن تجمع الأشياء اللي قلناها في + +476 +00:41:45,970 --> 00:41:50,890 +الدراسة و تجمعها مع بعضكما كما يمكنك أن تكتب عن + +477 +00:41:50,890 --> 00:41:53,030 +الموضوع، يمكنك أن تكتب عن الـRhyme، يمكنك أن تكتب + +478 +00:41:53,030 --> 00:41:56,490 +عن الموسيقى، عن هذا و هذا، حسنًا؟ عن اللغة + +479 +00:41:56,490 --> 00:42:05,230 +التفكيرية في هذه الحلقة، حسنًا؟ أي سؤال؟ لذلك دعني + +480 +00:42:05,230 --> 00:42:12,990 +أشكركوللحظة القادمة أتمنى أن نشاهد قصة أخرى التي + +481 +00:42:12,990 --> 00:42:25,370 +أعتقد أنها لتني نحن نتكلم عن سير فيليب سيدني سير + +482 +00:42:25,370 --> 00:42:32,070 +فيليب سيدني وسنعيش أيضًا في المخطط الرئيسي في نفس + +483 +00:42:32,070 --> 00:42:34,590 +المجال شكرا جزيلا وإلا أراك المرة القادمة + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/xWZ2TPdl7Uw_postprocess.srt b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/xWZ2TPdl7Uw_postprocess.srt new file mode 100644 index 0000000000000000000000000000000000000000..43b0195de1bad162fc66bd18d15202becb567c63 --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/xWZ2TPdl7Uw_postprocess.srt @@ -0,0 +1,1776 @@ +1 +00:00:00,000 --> 00:00:14,020 +Good morning + +2 +00:00:14,020 --> 00:00:19,980 +everybody how are you? how was the weekend? very + +3 +00:00:19,980 --> 00:00:29,660 +busy or you were relaxed? no relaxationأتمنى أنك + +4 +00:00:29,660 --> 00:00:35,740 +تقضي بعض الوقت على دراسة الكتابة أليس كذلك؟ هل كان + +5 +00:00:35,740 --> 00:00:44,440 +لديك وقت لتنظر إلى الـ Oxen؟ كيف وجدته؟ غريب، غريب + +6 +00:00:44,440 --> 00:00:51,480 +جدًا غريبًا حسنًا، سنعود إلى ذلك، إلى تجاربك بعد + +7 +00:00:51,480 --> 00:00:59,390 +أن نستمع إلى مقال أو اتينأنا أعرف أنني قمت بجمع + +8 +00:00:59,390 --> 00:01:04,430 +مقالاتك وأنا سأجمعها في أي وقت، حتى إجابتك، هل + +9 +00:01:04,430 --> 00:01:09,190 +تعرفين ما أقصد؟ لذلك، كون حذرًا، أخبرتك من البداية + +10 +00:01:09,190 --> 00:01:12,390 +أنك يجب أن تأتي إلى كل مدرسة، لذلك أولئك الطلاب + +11 +00:01:12,390 --> 00:01:16,250 +الذين أعتقدوا أنهم جاءوا وأعطيتهم مرحلة، أستطيع أن + +12 +00:01:16,250 --> 00:01:19,970 +أعيدها، إذا لم تستمر في هذا الموضوع، لذلك يمكنني + +13 +00:01:19,970 --> 00:01:23,690 +أن أجمعها في أي موقع، المقالات، وفي هذه الوقت، إذا + +14 +00:01:23,690 --> 00:01:30,460 +خسرت مقالةعرفت أنك ستفوت كل مرحلة الوزارة، لذا كون + +15 +00:01:30,460 --> 00:01:37,480 +حذرا وانتج أن لا تفوت أي مرحلة أو أي ردودة، جيد، + +16 +00:01:37,480 --> 00:01:44,900 +نعم، السيدة صالح، نعم، أعتقد أن إسمك أثار، إن لم + +17 +00:01:44,900 --> 00:01:48,060 +أخطط، لذا بدأت بمذكرة جيدة + +18 +00:01:52,690 --> 00:01:55,550 +to be away from university for three weeks is a + +19 +00:01:55,550 --> 00:01:58,090 +terrible thing, I was very sick and stayed at home + +20 +00:01:58,090 --> 00:02:00,990 +a long time and missed a lot of lectures for seven + +21 +00:02:00,990 --> 00:02:03,630 +courses, poetry course was the most comfortable + +22 +00:02:03,630 --> 00:02:05,830 +one while I was watching the video tapping + +23 +00:02:05,830 --> 00:02:09,250 +lecture, I was very clear .. I was very clear, I + +24 +00:02:09,250 --> 00:02:12,530 +feel like I stay .. it was very clear, I feel like + +25 +00:02:12,530 --> 00:02:15,210 +I stay at the class but I don't know what I will + +26 +00:02:15,210 --> 00:02:19,530 +do for the other coursesOkay thank you, you know + +27 +00:02:19,530 --> 00:02:23,710 +we understand and perhaps this is the purpose why + +28 +00:02:23,710 --> 00:02:26,450 +I agreed to videotape these classes because you + +29 +00:02:26,450 --> 00:02:31,430 +know sometimes some students have invincible + +30 +00:02:31,430 --> 00:02:38,350 +circumstances something that they cannot control + +31 +00:02:38,350 --> 00:02:43,070 +and the videotaping is for those students who + +32 +00:02:43,070 --> 00:02:46,490 +cannot come because of difficult circumstances + +33 +00:02:47,690 --> 00:02:54,090 +خلاص، نعم نحتاج إلى مقالة مخلصة أخرى، من يعتقد أن + +34 +00:02:54,090 --> 00:02:59,070 +مقالتها مخلصة؟ حسنا، أعتقد أنك محظوظة، هل هذه + +35 +00:02:59,070 --> 00:03:04,030 +أربعة مرة أنت تقف هنا؟ لا تتذكر، أنت لا تعدد + +36 +00:03:04,030 --> 00:03:08,250 +المرات؟ حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، + +37 +00:03:08,250 --> 00:03:08,450 +حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، + +38 +00:03:08,450 --> 00:03:09,010 +حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، + +39 +00:03:09,010 --> 00:03:09,730 +حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، حسنا، + +40 +00:03:09,730 --> 00:03:12,900 +حسنا، حسنا، حسنا، حسthe lecture was .. I attended + +41 +00:03:12,900 --> 00:03:17,680 +.. I attended in the previous lecture, so I wrote + +42 +00:03:17,680 --> 00:03:22,020 +about itThe lecture was too distinguishable. That + +43 +00:03:22,020 --> 00:03:24,700 +lecture was too distinguishable because we + +44 +00:03:24,700 --> 00:03:27,820 +discussed a poem that seems enjoyable. Also, we + +45 +00:03:27,820 --> 00:03:30,160 +interested ourselves by the questions the teacher + +46 +00:03:30,160 --> 00:03:33,740 +asked, and Mr. Habib gave us many chances to ask. + +47 +00:03:34,220 --> 00:03:37,200 +Then we gave gut responses to the poem, and the + +48 +00:03:37,200 --> 00:03:40,120 +teacher thanked us because of our deep thinking + +49 +00:03:40,120 --> 00:03:44,350 +for expressing them.He read to us the first stanza + +50 +00:03:44,350 --> 00:03:47,730 +and asked questions about this stanza. Next to + +51 +00:03:47,730 --> 00:03:50,610 +that, we talked about Christianity and Christmas + +52 +00:03:50,610 --> 00:03:53,290 +and talked about some aspects of this day and + +53 +00:03:53,290 --> 00:03:57,230 +being gorgeous. After that, Mr. Habib told us to + +54 +00:03:57,230 --> 00:03:59,990 +search about the miracles accompanying our Prophet + +55 +00:03:59,990 --> 00:04:04,620 +Muhammad's birthفنحن نتفاق معه و قررنا أو أعدنا أن + +56 +00:04:04,620 --> 00:04:08,140 +نعمل تحقيق مثل هذا. أخيرًا، كان الوقت قد إنتهى و + +57 +00:04:08,140 --> 00:04:11,380 +المدرسة أطلب مننا أن نكون مولدين، لذلك نقوم + +58 +00:04:11,380 --> 00:04:15,100 +بتحديثها و أعدنا أن نشارك بينما ندخل. شكرا جزيلا + +59 +00:04:15,100 --> 00:04:19,520 +جزيلا، جيد، انها تجيبة جيدة و تذكرتني عن مثل مهمة + +60 +00:04:19,520 --> 00:04:23,380 +أعطيتها لكي نتحدث عن المعجزات التي تتشارك في + +61 +00:04:23,380 --> 00:04:28,470 +مولانا النبي محمد صلى الله عليه و سلمولكن قبل ذلك، + +62 +00:04:28,470 --> 00:04:35,250 +هذا ما أخطط، أخطط أن أنظر إلى القصة مرة أخرى + +63 +00:04:35,250 --> 00:04:37,410 +لأسهلها + +64 +00:04:38,280 --> 00:04:42,720 +ومن ثم لتفكير أن هذا هو المركز الرئيسي للدراسة + +65 +00:04:42,720 --> 00:04:48,440 +اليوم هو التركيز على التجارب التجاربية هذا مثل شيء + +66 +00:04:48,440 --> 00:04:51,960 +نحن نفعله أو نحن كنا نفعله مثل تجارب التجارب + +67 +00:04:51,960 --> 00:04:58,420 +التجاربية لكن ليس على مستوى كبير، اليوم نحن نتركز + +68 +00:04:58,420 --> 00:05:03,730 +على تجارب التجارب التجاربيةOkay but before that I + +69 +00:05:03,730 --> 00:05:07,250 +want to listen or to see how did you find the poem + +70 +00:05:07,250 --> 00:05:11,170 +was it like easy difficult do you like it you + +71 +00:05:11,170 --> 00:05:14,990 +didn't like it when you read it how you felt okay + +72 +00:05:14,990 --> 00:05:20,050 +so we're coming back to square number one okay yes + +73 +00:05:20,050 --> 00:05:24,190 +yes + +74 +00:05:24,190 --> 00:05:26,870 +how did you find the poem Rawand actually when I + +75 +00:05:26,870 --> 00:05:29,490 +first read it I didn't get anything uh-huh very + +76 +00:05:29,490 --> 00:05:29,790 +good + +77 +00:05:34,010 --> 00:05:43,250 +نعم لأن القصيدة بدأت بالقصة مثل قصة تتكلم عن + +78 +00:05:43,250 --> 00:05:50,210 +كرسماس و 12 من الساعة وانا + +79 +00:05:50,210 --> 00:05:58,170 +فاهمة انها عن مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +80 +00:05:58,170 --> 00:06:04,310 +مجرد مجرد مجردلذلك اكتشفت أنها كانت عن الانتقال + +81 +00:06:04,310 --> 00:06:13,550 +حسنًا لذلك كما قالوا أن هذا كان انتقال من + +82 +00:06:13,550 --> 00:06:21,010 +قال ذلك؟ الرجل الأكبر قال إن كان هناك انتقال وفي + +83 +00:06:21,010 --> 00:06:26,410 +ذلك الوقت حارب كان طفلا وكان يغادر ولم يفكر في ذلك + +84 +00:06:26,410 --> 00:06:28,450 +أو أن هذا لن يكون صحيح + +85 +00:06:35,490 --> 00:06:39,030 +طبعا حارد يظهر أنها كانت .. في ذلك الوقت عندما كان + +86 +00:06:39,030 --> 00:06:43,490 +طفلا و كان يعتقد أنه كان صحيح و لم يعجبه حتى .. + +87 +00:06:43,490 --> 00:06:45,330 +لذلك لم يعتقدوا أنها مجرد مجرد مجرد مجرد مجرد مجرد + +88 +00:06:45,330 --> 00:06:45,510 +مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد مجرد + +89 +00:06:57,110 --> 00:07:04,570 +نعم الانقسام أو الانقسام لأن هنا هذا مثلا الشكل + +90 +00:07:04,570 --> 00:07:10,110 +الذي يبدأ القصيدةبدأ مع مجموعة من الناس مجتمعين + +91 +00:07:10,110 --> 00:07:21,230 +وشخص عميق مثلا قديس أو رجل عميق كان يخبرهم قصة عن + +92 +00:07:21,230 --> 00:07:26,310 +بيرث جيسوس كريست واحدة من هذه القصتين كانت نقل + +93 +00:07:26,310 --> 00:07:28,390 +الأكسد + +94 +00:07:34,150 --> 00:07:40,930 +مثلًا مثلًا هذا ما قاله بعض الناس كما + +95 +00:07:40,930 --> 00:07:45,170 +تعلمون ولكن الكريستيان يقولون أن هذا محقك كما + +96 +00:07:45,170 --> 00:07:51,850 +تعلمون لأننا نتكلم عن دعونا نقول إنه حدث كوزميكي + +97 +00:07:51,850 --> 00:07:58,630 +لسنا نتكلم عن أنه بيطول من نبي وقلنا كما تعلمون + +98 +00:07:58,630 --> 00:08:06,320 +أننا لا يجب أن نتكلم عنالنساء في هذه الطريقة كأنها + +99 +00:08:06,320 --> 00:08:17,800 +مفاجأة لأننا نؤمن أن هناك محيطات تتجمد بالنساء وقد + +100 +00:08:17,800 --> 00:08:21,740 +أعطيتك مهمة من السابق لتخبرني عن المحيطات التي + +101 +00:08:21,740 --> 00:08:25,060 +تتجمد مع النساء محمد محمد محمد محمد محمد محمد محمد + +102 +00:08:25,060 --> 00:08:31,260 +محمد محمد محمد محمدهناك الكثير من الأحداث التي + +103 +00:08:31,260 --> 00:08:34,780 +حدثت، واحدة منها كانت الانهيارات تنزل على وجههم + +104 +00:08:34,780 --> 00:08:39,860 +الليلة التي كنت تفعلها الانهيارات تنزلوا على + +105 +00:08:39,860 --> 00:08:46,020 +وجههم؟ نعم و أيضًا كان الحياة تخرج معهم في منطقة + +106 +00:08:46,020 --> 00:08:50,020 +كبيرة من المدينة العربية نعم كان هناك بعض + +107 +00:08:50,020 --> 00:08:57,460 +الانهيارات و أيضًا من جيواننعم، يمكنك أن تقول + +108 +00:08:57,460 --> 00:09:03,880 +بريسليتز وكان النار في برسيا + +109 +00:09:03,880 --> 00:09:08,880 +مقصودة، فهذه كانت المعجزات التي حصلت + +110 +00:09:11,830 --> 00:09:15,270 +Okay جميل جميل جميل جميل جميل جميل جميل جميل جميل + +111 +00:09:15,270 --> 00:09:15,330 +جميل جميل جميل جميل جميل جميل جميل جميل جميل جميل + +112 +00:09:15,330 --> 00:09:17,410 +جميل جميل جميل جميل جميل جميل جميل جميل جميل جميل + +113 +00:09:17,410 --> 00:09:17,430 +جميل جميل جميل جميل جميل جميل جميل جميل جميل جميل + +114 +00:09:17,430 --> 00:09:19,730 +جميل جميل جميل جميل جميل جميل جميل جميل جميل جميل + +115 +00:09:19,730 --> 00:09:20,870 +جميل جميل جميل جميل جميل جميل جميل جميل جميل جميل + +116 +00:09:20,870 --> 00:09:23,250 +جميل جميل جميل جميل جميل جميل جميل جميل جميل جميل + +117 +00:09:23,250 --> 00:09:26,310 +جميل جميل جميل + +118 +00:09:26,310 --> 00:09:39,070 +جميل جميل ج + +119 +00:09:39,880 --> 00:09:42,460 +لأقصى الـ Kneeling, it was a legend, تهار دي + +120 +00:09:42,460 --> 00:09:44,880 +reality accepted no legends. The serenity, + +121 +00:09:45,020 --> 00:09:48,400 +innocence and faith torn out in these years. Is he + +122 +00:09:48,400 --> 00:09:50,760 +losing faith in religion or maybe in a corrupt + +123 +00:09:50,760 --> 00:09:53,500 +humanity? We ought to find out, although it may + +124 +00:09:53,500 --> 00:09:56,140 +not matter, the war sure everything did shatter. + +125 +00:09:57,220 --> 00:10:00,680 +Good, thank you very much. Again, I'm impressed by + +126 +00:10:00,680 --> 00:10:03,280 +Jihan's response, you know, because this what + +127 +00:10:03,280 --> 00:10:07,200 +she's been doing all throughout the course, like + +128 +00:10:07,200 --> 00:10:14,900 +she was responding in poetry.أنا أيضًا مهتم بمعرفة + +129 +00:10:14,900 --> 00:10:22,080 +فرصة مجتمعك الاخر ماذا تعتقد؟ ماذا هي القصة؟ + +130 +00:10:22,080 --> 00:10:32,900 +ماذا + +131 +00:10:32,900 --> 00:10:36,660 +تعتقد؟ ماذا + +132 +00:10:36,660 --> 00:10:39,900 +تعتقد؟ ماذا تعتقد؟لأكسن انا لا احتاج تاجر لأكسن + +133 +00:10:39,900 --> 00:10:47,780 +لذلك يجب أن تذهب ماذا تفكر؟ هل قرأت القصة او ليس + +134 +00:10:47,780 --> 00:10:56,520 +بعد؟ نعم هناك ماذا تفكر عن القصة؟ لماذا هي جميلة؟ + +135 +00:10:56,520 --> 00:11:01,920 +انا كنت اتكلم عن قصة روز اماكن الانتقال + +136 +00:11:07,620 --> 00:11:12,640 +لأنه كان يتكلم عن تجربة شخصية، وانها جميلة، كيف + +137 +00:11:12,640 --> 00:11:17,320 +تتكلم عن تجربته الشخصية، انا أقصد تجربته الماضية؟ + +138 +00:11:17,320 --> 00:11:23,000 +كيف تتكلم؟ انت تقول انها جميلة، مثلا، ما كان + +139 +00:11:23,000 --> 00:11:29,160 +مصطلحه على كلمة الماضي؟ نعم ليلة؟ اعتقد انك تتكلم + +140 +00:11:29,160 --> 00:11:35,800 +عن اليوم الماضيكان نفسيًا، كان مريضًا في المنزل، + +141 +00:11:35,800 --> 00:11:41,100 +كان يعجبه كثيرًا الوقت عندما الناس كانوا يتجمدوا + +142 +00:11:41,100 --> 00:11:47,980 +ويتحدثوا في الوقت الرئيسي، لم يكن سعيدًا بطريقة + +143 +00:11:47,980 --> 00:11:52,880 +كيف يتعامل الناس اليوم؟ ماهي المشكلة مع الناس + +144 +00:11:52,880 --> 00:11:57,800 +اليوم؟ هل شعرت كذلك؟ لأنه يتحدث عن اتصالين، الماضي + +145 +00:11:57,800 --> 00:12:01,080 +و المجلس، نعم، كيف؟ نعم، أرجوك + +146 +00:12:07,940 --> 00:12:20,120 +So in the past people + +147 +00:12:20,120 --> 00:12:24,740 +trusted each other nowadays people do not nowadays + +148 +00:12:24,740 --> 00:12:29,450 +people are skepticهم مخلصين، تعرفين ما أقصد؟ أن + +149 +00:12:29,450 --> 00:12:34,090 +تكون مخلصا، و لا تأخذ، و لا تؤمن، تعرفين ما يقوله + +150 +00:12:34,090 --> 00:12:38,250 +الناس لك، نعم جيهان؟ نعم، و لا يوجد أي ذكية، ليس + +151 +00:12:38,250 --> 00:12:43,150 +ذكية قبل ذلك، و أيضًا بسبب الوقت اللي كنت تقرأ + +152 +00:12:43,150 --> 00:12:47,130 +القصة، كانت حرب العالم و كل شيء، لذا فهو نوعًا + +153 +00:12:47,130 --> 00:12:51,230 +فقدر، فقدر، فكان يشعر أن العالم يفقد، أي حرب، حرب + +154 +00:12:51,230 --> 00:12:55,970 +تتكلم عنها؟ حرب العالم، لا أعني، أنا لا أعتقد .. + +155 +00:12:58,970 --> 00:13:06,110 +وكانت مقالة في وقت الحرب بعد الحرب فشعرت أنها نفس + +156 +00:13:06,110 --> 00:13:08,750 +المقالة أنه لا يوجد روحانية، الناس مقاومة فيها، + +157 +00:13:08,750 --> 00:13:12,730 +نعم مصطلح المصطلح كان شرقًا، نعم ولم يكن هناك + +158 +00:13:12,730 --> 00:13:16,630 +علاقة بين المجتمع كما كانت قد كانت، كل شيء مغلق، + +159 +00:13:16,630 --> 00:13:23,250 +كل شيء مغلق، جيد، نعم، اي حاجة أخرى؟ + +160 +00:13:25,960 --> 00:13:30,520 +لنرى، المرة الأخيرة، كما تعلمين، كنا نتكلم عن كثير + +161 +00:13:30,520 --> 00:13:34,880 +من الكلمات و هذا ما لدينا في القصة، إنها كلمة من + +162 +00:13:34,880 --> 00:13:39,720 +الماضي مواجهة من مثل مجموعة من الناس اللي كانوا + +163 +00:13:39,720 --> 00:13:45,920 +يجتمعون و لديك عمرو يخبرهم عن القصة عن المعجزات + +164 +00:13:45,920 --> 00:13:51,880 +التي حدثت من حياته يسوة كريسة الناس كانوا هناك، + +165 +00:13:51,880 --> 00:13:59,610 +كما تعلمون،كانوا يؤمنوا بذلك ولم يتوقع أحد ذلك + +166 +00:13:59,610 --> 00:14:05,730 +جميعهم أخذوه بالفرصة ولم يتوقع أحد ذلك على الرغم + +167 +00:14:05,730 --> 00:14:12,950 +من أن الكتاب تتكلم عن اليوم تتكلم عن الحجز عندما + +168 +00:14:12,950 --> 00:14:21,360 +قال في هذه السنوات وقضية كانت مختلفة تمامافى هذه + +169 +00:14:21,360 --> 00:14:24,860 +السنوات انا اشعر ان اذا قال شخص على عيد الكريسماس + +170 +00:14:24,860 --> 00:14:31,900 +تعالى تشاهد عقسن نيل فانا اذهب معاه ..انها ليست + +171 +00:14:31,900 --> 00:14:35,140 +مثل ما رسمناها ..انها ليست مثل ما اصدقناها ..انا + +172 +00:14:35,140 --> 00:14:39,940 +اذهب معاه و اقول له هل تريحني؟ انا لا اثق بك ..انا + +173 +00:14:39,940 --> 00:14:44,020 +لا اصدق ما تقوله هل تريحني؟ فهذا كلها قوة + +174 +00:14:47,570 --> 00:14:57,550 +القصة تتجسس في اتجارين اولا و اتجارا تمثل الماضي + +175 +00:14:57,550 --> 00:15:07,070 +و اتجارا تمثل الماضي اتجارا تمثل الماضي اتجارا + +176 +00:15:07,070 --> 00:15:11,340 +تمثل الماضي اتجارا تمثل الماضيلتنظر إلى المبادرة + +177 +00:15:11,340 --> 00:15:19,380 +التسلسلية لتنظر إلى التنسيس لتنظر إلى كلمات نفسها + +178 +00:15:19,380 --> 00:15:25,200 +كلمات نفسها لتنظر إلى الاختيارات اللغية و لتقارر و + +179 +00:15:25,200 --> 00:15:31,160 +لتقارير على سبيل المثال إذا ننظر إلى الاختصارات في + +180 +00:15:31,160 --> 00:15:35,180 +التنسيس الأولى ماهي اختصارات نجدها؟ + +181 +00:15:38,150 --> 00:15:49,370 +pronouns like they you know we okay they again so + +182 +00:15:49,370 --> 00:15:52,130 +what are these nouns or what are these pronouns + +183 +00:15:52,130 --> 00:15:59,090 +plural okay if you go to the you know what are the + +184 +00:15:59,090 --> 00:16:05,790 +pronouns I now this is something we can observeهل + +185 +00:16:05,790 --> 00:16:08,670 +يمكنك أن تعتمد لهذا؟ هل يمكنك أن تشرح هذا؟ إذا + +186 +00:16:08,670 --> 00:16:15,890 +ماذا؟ هل يمكنك أن تعطي معنى لهذا؟ نعم بفضل الله في + +187 +00:16:15,890 --> 00:16:19,630 +الماضي عندما يتعاملوا مع بعضهم مع بعضهم هناك + +188 +00:16:19,630 --> 00:16:23,090 +تعملية تعملية تعملية تعملية تعملية تعملية تعملية + +189 +00:16:23,090 --> 00:16:25,790 +تعملية تعملية تعملية تعملية تعملية تعملية تعملية + +190 +00:16:25,790 --> 00:16:25,870 +تعملية تعملية تعملية تعملية تعملية تعملية تعملية + +191 +00:16:25,870 --> 00:16:31,950 +تعملية تعملية تعملية تعملية تعملية تعملية تعملية + +192 +00:16:31,950 --> 00:16:33,910 +تعملية تعملية تعملية تعملية تعملية تعملية تعملية + +193 +00:16:33,910 --> 00:16:39,180 +تعملية تعملية تتشير إلى كلمة المشاركة، رأي + +194 +00:16:39,180 --> 00:16:48,940 +المجتمع، رأي المجتمع، لذلك الماضي كانمجتمع مجتمع + +195 +00:16:48,940 --> 00:16:53,600 +مجتمع الماضي كانت مجتمع الناس اللي كانوا يتجمعون + +196 +00:16:53,600 --> 00:16:58,940 +لكن اليوم الوقت وهو الوقت اللي كانت وقت الوقت اللي + +197 +00:16:58,940 --> 00:17:00,640 +كانت وقت الوقت اللي كانت الوقت اللي كانت الوقت + +198 +00:17:00,640 --> 00:17:01,260 +اللي كانت الوقت اللي كانت الوقت اللي كانت الوقت + +199 +00:17:01,260 --> 00:17:01,440 +اللي كانت الوقت اللي كانت الوقت اللي كانت الوقت + +200 +00:17:01,440 --> 00:17:02,180 +اللي كانت الوقت اللي كانت الوقت اللي كانت الوقت + +201 +00:17:02,180 --> 00:17:02,220 +اللي كانت الوقت اللي كانت الوقت اللي كانت الوقت + +202 +00:17:02,220 --> 00:17:02,320 +اللي كانت الوقت اللي كانت الوقت اللي كانت الوقت + +203 +00:17:02,320 --> 00:17:02,540 +اللي كانت الوقت اللي كانت الوقت اللي كانت الوقت + +204 +00:17:02,540 --> 00:17:05,340 +اللي كانت الوقت اللي كانت الوقت اللي كانت الوقت + +205 +00:17:17,020 --> 00:17:23,500 +انت تنظر إلى الكلمات، نعم + +206 +00:17:23,500 --> 00:17:27,560 +الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم + +207 +00:17:27,560 --> 00:17:28,220 +الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم + +208 +00:17:28,220 --> 00:17:29,580 +الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم + +209 +00:17:29,580 --> 00:17:31,240 +الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم + +210 +00:17:31,240 --> 00:17:31,460 +الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم + +211 +00:17:31,460 --> 00:17:31,780 +الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم + +212 +00:17:31,780 --> 00:17:33,560 +الاسم الاسم الاسم الاسم الاسم الاسم الاسم الاسم + +213 +00:17:33,560 --> 00:17:35,570 +الاسم الاسم الاسم الاسم الاسم الاسم الكان يتكلم عن + +214 +00:17:35,570 --> 00:17:40,310 +الماضي بطريقة واضحة جدًا مثل شخص مثل نحن جلسنا + +215 +00:17:40,310 --> 00:17:47,490 +نقوم بتصويره لذلك كان يفسر كلمة جيدة جدًا كلمة + +216 +00:17:47,490 --> 00:17:51,050 +رومانية جدًا حيث تعمل الناس تعمل الناس تعمل الناس + +217 +00:17:51,050 --> 00:17:51,690 +تعمل الناس تعمل الناس تعمل الناس تعمل الناس تعمل + +218 +00:17:51,690 --> 00:17:53,010 +الناس تعمل الناس تعمل الناس تعمل الناس تعمل الناس + +219 +00:17:53,010 --> 00:17:53,310 +تعمل الناس تعمل الناس تعمل الناس تعمل الناس تعمل + +220 +00:17:53,310 --> 00:18:00,490 +تعمل الناس تعمل الناس تعمل الناس تعمل + +221 +00:18:00,490 --> 00:18:02,630 +النا + +222 +00:18:04,530 --> 00:18:13,690 +ماذا يعني موضل فرق؟ موضل فرق؟ موضل + +223 +00:18:13,690 --> 00:18:21,090 +فرق؟ موضل فرق؟ موضل فرق؟ موضل + +224 +00:18:21,090 --> 00:18:24,450 +فرق؟ موضل فرق؟ موضل فرق؟ موضل فرق؟ موضل فرق؟ موضل + +225 +00:18:24,450 --> 00:18:25,150 +فرق؟ موضل فرق؟ موضل فرق؟ موضل فرق؟ موضل فرق؟ موضل + +226 +00:18:25,150 --> 00:18:30,170 +فرق؟ موضل فرق؟ موضل فرق؟ موضل فرق؟ + +227 +00:18:32,950 --> 00:18:40,390 +ماذا نسمي الـ modal verbs؟ مدالة ما هي مدالة؟ + +228 +00:18:40,390 --> 00:18:44,310 +مقالة + +229 +00:18:44,310 --> 00:18:50,390 +شخصية، هل يمكنك أن تتكلم قليل؟ شكرا جزيلا لك. لذا + +230 +00:18:50,390 --> 00:18:56,210 +عندما أستخدم مقالة شخصية، يعني أنني أستخدم مقالة + +231 +00:18:56,210 --> 00:18:56,690 +شخصية. + +232 +00:19:00,290 --> 00:19:01,210 +كيف؟ + +233 +00:19:07,350 --> 00:19:17,150 +أشعر بالطبع نعم + +234 +00:19:17,150 --> 00:19:26,550 +مثلا هو يجب أن يكون خارج او هي يجب أن تكون مرضى + +235 +00:19:26,550 --> 00:19:35,810 +سوف يتحرك تعرفين أنك تتحدث عن الأشياء بطريقة غير + +236 +00:19:35,810 --> 00:19:43,750 +متأكدةأولاد الموضوع يجب أن يتعلقوا بـUncertainty + +237 +00:19:43,750 --> 00:19:45,870 +أو بالفوضى + +238 +00:19:56,930 --> 00:20:02,270 +أو حتى كلمة اتمنى، تتمنى أن يكون كذلك، هناك غير + +239 +00:20:02,270 --> 00:20:06,510 +متأكدة، كلمة تتمنى أن يكون كذلك، لذلك نعم، نحن + +240 +00:20:06,510 --> 00:20:14,370 +نتحرك من شعور بالتأكيد إلى شعور بالالتأكيد، إلى + +241 +00:20:14,370 --> 00:20:19,270 +شعور بالاضطراب، إلى شعور بالاضطراب، إلى شعور + +242 +00:20:19,270 --> 00:20:19,850 +بالاضطراب، إلى شعور بالاضطراب، إلى شعور بالاضطراب، + +243 +00:20:19,850 --> 00:20:20,470 +بالاضطراب، إلى شعور بالاضطراب، إلى شعور بالاضطراب، + +244 +00:20:20,470 --> 00:20:20,890 +إلى شعور بالاضطراب، إلى شعور بالاضطراب، إلى شعور + +245 +00:20:20,890 --> 00:20:26,670 +بالاضطراب، إلى شعور بالاضطراب، إلى شعور بالأيضًا + +246 +00:20:26,670 --> 00:20:31,970 +إذا ننظر إلى الاختيارات السيطاكية أتعرف أنها + +247 +00:20:31,970 --> 00:20:40,210 +سيطاكية؟ الكلام الكلام ماذا + +248 +00:20:40,210 --> 00:20:48,130 +تعتقد؟ الكلام وحتى + +249 +00:20:48,130 --> 00:20:59,270 +مثل .. هل تقارن بين هنا؟مصر و12 من الساعة هم جميعا + +250 +00:20:59,270 --> 00:21:06,210 +على أسلوبهم وقال الورقاء كما قلنا كلمة الورقاء + +251 +00:21:06,210 --> 00:21:17,010 +مقارنة مع كلمة شخص اذا شخص مثل الماضي المتحدث كان + +252 +00:21:17,010 --> 00:21:28,280 +شخص أكبر اليوم المتحدث شخص ماهل يمكنك ان تحاول ان + +253 +00:21:28,280 --> 00:21:30,280 +تعطي معنى لهذا؟ + +254 +00:21:33,890 --> 00:21:37,390 +in the past other people, wise people who had the + +255 +00:21:37,390 --> 00:21:40,890 +.. with enough experience to speak, they had the + +256 +00:21:40,890 --> 00:21:44,930 +right to stand up and express everybody's mind but + +257 +00:21:44,930 --> 00:21:49,990 +nowadays a young person, a man who is unqualified, + +258 +00:21:50,370 --> 00:21:53,630 +anyone, we call it in Arabic as our prophet + +259 +00:21:53,630 --> 00:21:57,410 +Muhammad said, الواي دلوقتأي شخص يستطيع أن يتحدث + +260 +00:21:57,410 --> 00:22:00,710 +بالنسبة له نفسه أو بالنسبة للعالم نفسه أو بالنسبة + +261 +00:22:00,710 --> 00:22:02,310 +للعالم نفسه أو بالنسبة للعالم نفسه أو بالنسبة + +262 +00:22:02,310 --> 00:22:03,950 +للعالم نفسه او بالنسبة للعالم نفسه او بالنسبة + +263 +00:22:03,950 --> 00:22:04,570 +للعالم نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه + +264 +00:22:04,570 --> 00:22:04,590 +نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه + +265 +00:22:04,590 --> 00:22:04,710 +نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه + +266 +00:22:04,710 --> 00:22:07,130 +نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه نفسه + +267 +00:22:07,130 --> 00:22:13,980 +نفسه نفسه نفسهكما تعلمين مثل هذه الوصفة المصطلحية + +268 +00:22:13,980 --> 00:22:20,160 +عندما نتحدث عن عميل نحن نتحدث عن كلمة التي كانت + +269 +00:22:20,160 --> 00:22:26,200 +محترمة ومعرفة فيها وكذلك عندما نتحدث عن شخص ما هو + +270 +00:22:26,200 --> 00:22:33,080 +كلمة غير مفهومة تشير إلى شعور + +271 +00:22:33,080 --> 00:22:37,000 +من غير محترم، غير معرفة، غير مخصص، شخص ما تعرفين + +272 +00:22:37,000 --> 00:22:42,850 +ما أعنيه؟ لذلك هناك اختلافسؤال عن شخص لا يمتلك + +273 +00:22:42,850 --> 00:22:48,850 +اقليفيات شكرا جزيلابالنسبة للمنطقة المجتمعية، قبل + +274 +00:22:48,850 --> 00:22:53,270 +أن المجتمع يتحرك حول الحصول على الأشخاص والأشخاص + +275 +00:22:53,270 --> 00:22:56,670 +القادرين على قتلهم، هذا و ذلك، وبعض الناس اللي + +276 +00:22:56,670 --> 00:23:01,270 +أخذوا هذا الفيلم لإيجابهم عن انهم تخسروا الإيمان + +277 +00:23:01,270 --> 00:23:04,890 +والديكولوجيا أو يقولوا .. مثلًا، بعض الانتقالات + +278 +00:23:04,890 --> 00:23:08,590 +قالت إنه يقول إنه لا يجب عليك أن تأخذ أي شيء بمجرد + +279 +00:23:08,590 --> 00:23:12,030 +ذلك، وانه مجرد تجارب، لذا ربما يقول، على سبيل + +280 +00:23:12,030 --> 00:23:15,130 +المثال،الآن مثل أي شخص يستطيع أن يرى و يفكر في + +281 +00:23:15,130 --> 00:23:18,190 +نفسه، ولكن قبل ذلك، تأخذها من الأشخاص القديمين و + +282 +00:23:18,190 --> 00:23:21,170 +تأخذها من خلالها بدون حتى التفكير، يمكن أن يكون + +283 +00:23:21,170 --> 00:23:24,520 +حقيقي، يمكن أن يكون مفاجأةنعم، فالتفاعل، كما + +284 +00:23:24,520 --> 00:23:31,300 +تعلمين مرة أخرى، كما تعلمين، ما قال شخص أكبر في + +285 +00:23:31,300 --> 00:23:36,680 +الماضي كان خلقه خاطئًا، كان، كما تعلمين، مقبولًا + +286 +00:23:36,680 --> 00:23:42,460 +بدون تسأل، وفي اليوم، بسبب شعور أكتر من المتأكدة، + +287 +00:23:42,460 --> 00:23:46,180 +وفي اليوم، مثل المتأكدة، الشخصية، الاندوديوليزم، + +288 +00:23:46,180 --> 00:23:50,170 +نتكلم عن ماذا؟السنة القديمة الفقرانية كانت السنة + +289 +00:23:50,170 --> 00:23:53,610 +كما تعلمين نحن نتكلم عنها عندما نحن مثلا إذا تتذكر + +290 +00:23:53,610 --> 00:23:59,970 +في الدراسة قبل الدراسة السابقة نحن نتكلم عن مثلما + +291 +00:23:59,970 --> 00:24:04,210 +انا أقصد دوفربيتش ورأينا كيف ماتيو أرنOLD كان + +292 +00:24:04,210 --> 00:24:10,690 +يتكلم بسبب الانتقال بسبب الانتقال وقلنا إنه بسبب + +293 +00:24:10,690 --> 00:24:16,880 +التغيير في المجتمع بسبب نظر داروين بسببوالتحرير من + +294 +00:24:16,880 --> 00:24:21,420 +الدين، لذلك هنا نحن نحاول أن نرى كيف كان هاردي + +295 +00:24:21,420 --> 00:24:28,760 +متأكد من هذا العمل التغييريو بالطبع كان صحيح لأن + +296 +00:24:28,760 --> 00:24:35,540 +بعد .. بعده، كما قال، كانوا مثلًا، ربما عشر سنة + +297 +00:24:35,540 --> 00:24:40,700 +بعد هذه القصيدة، بدأت العالم الأول، وكما تعلمون، + +298 +00:24:40,700 --> 00:24:45,760 +انتهت بمحاربات ومحرومات، والإنسان أو ال .. ال .. + +299 +00:24:45,760 --> 00:24:53,010 +ال .. أقول .. أعني ..المحيط بالإيمان كان عالقًا، + +300 +00:24:53,010 --> 00:24:56,410 +عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، + +301 +00:24:56,410 --> 00:24:56,990 +عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، + +302 +00:24:56,990 --> 00:24:57,410 +عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، + +303 +00:24:57,410 --> 00:24:59,130 +عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، + +304 +00:24:59,130 --> 00:25:01,770 +عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، عالقًا، + +305 +00:25:01,770 --> 00:25:15,110 +عالقًا، عالقًا، عالقًا، عالقًا، عالقًا + +306 +00:25:15,200 --> 00:25:20,240 +هم جميعًا على أسلحة و مرسل موجود في الـ flock ماهو + +307 +00:25:20,240 --> 00:25:25,320 +ال flock؟ هل هو مفضل أو نقل؟ إنه مثل مجتمع، + +308 +00:25:25,320 --> 00:25:31,300 +تعرفين؟ مثل مطعم، مثل مطعم، تعرفين؟ وهذا، تعرفين، + +309 +00:25:31,300 --> 00:25:35,160 +في الكرسيسية كانوا يسمونها، إنها كلمة بiblical لأن + +310 +00:25:35,160 --> 00:25:44,980 +جيسوس أفكر في نفسه كماذا؟أشبهر والناس كانت الشيخ + +311 +00:25:44,980 --> 00:25:46,360 +أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو + +312 +00:25:46,360 --> 00:25:46,700 +الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ + +313 +00:25:46,700 --> 00:25:47,240 +أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو + +314 +00:25:47,240 --> 00:25:48,880 +الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ + +315 +00:25:48,880 --> 00:25:51,000 +أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو + +316 +00:25:51,000 --> 00:25:51,600 +الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ + +317 +00:25:51,600 --> 00:25:52,100 +أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو + +318 +00:25:52,100 --> 00:25:54,620 +الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ + +319 +00:25:54,620 --> 00:25:56,400 +أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو الشيخ أو + +320 +00:25:56,400 --> 00:26:06,240 +الشيخ أو الشيخ أو الشيخ أو + +321 +00:26:06,240 --> 00:26:11,870 +الشينعم لأننا نعرف أن الحيوانات عظيمة جدا ولكن هنا + +322 +00:26:11,870 --> 00:26:20,430 +الميك بسبب تأثير الحيوانات لأنها فرصة كزميكية ولكن + +323 +00:26:20,430 --> 00:26:26,670 +الميك كان مسمى كميك بطيء بطيء بطيء بطيء بطيء بطيء + +324 +00:26:26,670 --> 00:26:27,850 +بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء + +325 +00:26:27,850 --> 00:26:28,250 +بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء + +326 +00:26:28,250 --> 00:26:28,950 +بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء بطيء + +327 +00:26:28,950 --> 00:26:34,750 +بطيء بطيء بطيء بطيء + +328 +00:26:34,870 --> 00:26:42,390 +هي تتعلق بالشعور بالاضحى والشعور بالبسيطة انها + +329 +00:26:42,390 --> 00:26:52,750 +كلمات بسيطة ولكن اذا تذهب .. انظر هنا حتى اشياء + +330 +00:26:52,750 --> 00:26:56,030 +غامضة غامضة غامضة غامضة غامضة غامضة غامضة غامضة + +331 +00:26:56,030 --> 00:26:58,870 +غامضة غامضة غامضة غامضة غامضة غامضة غامضة غامضة + +332 +00:26:58,870 --> 00:26:58,970 +غامضة غامضة غامضة غامضة غامضة غامضة غامضة غامضة + +333 +00:26:58,970 --> 00:26:59,050 +غامضة غامضة غامضة غامضة غامضة غامضة غامضة غامضة + +334 +00:26:59,050 --> 00:27:03,730 +غامضة غامضة غامضةso fancy you know it's very + +335 +00:27:03,730 --> 00:27:07,430 +disgusting very you know somebody like he's not + +336 +00:27:07,430 --> 00:27:12,170 +happy you know and in these years i feel if + +337 +00:27:12,170 --> 00:27:15,390 +someone said on christmas eve come see the oxen + +338 +00:27:15,390 --> 00:27:20,330 +kneel in the lonely barton here we started what is + +339 +00:27:20,330 --> 00:27:24,570 +a barton what is a barton did you check this word + +340 +00:27:24,570 --> 00:27:27,190 +did you check up this word in the dictionary + +341 +00:27:32,330 --> 00:27:40,890 +أنا أفهم أنكما لا تستخدمون وقتكم يا رفاق اقول + +342 +00:27:40,890 --> 00:27:45,470 +انكما يجب أن تتجاهلوا ان عيونكما تقولون لي أنكما + +343 +00:27:45,470 --> 00:27:50,850 +لم تقضيوا كثير من الوقت على هذه القصة حتى وإن + +344 +00:27:50,850 --> 00:27:53,290 +لديكم تجارب رسمية للقصة في قرصك + +345 +00:27:57,670 --> 00:28:03,330 +But let me .. Barton means a shed, a shed, you + +346 +00:28:03,330 --> 00:28:06,470 +know, like a cow shed, you know, it's a place + +347 +00:28:06,470 --> 00:28:10,530 +where you keep the animals But like this is not + +348 +00:28:10,530 --> 00:28:16,110 +everyday language, it is Barton, coow, by under + +349 +00:28:16,110 --> 00:28:20,070 +coow, coow it's a valley Like look, even if you go + +350 +00:28:20,070 --> 00:28:23,530 +to the dictionary, you will not find gloom, gloom + +351 +00:28:24,810 --> 00:28:29,810 +أتمنى أن يكون كذلك، لذلك هذه الكلمات مصطفى كلمات، + +352 +00:28:29,810 --> 00:28:42,530 +إنها حتى كلمات عشوائية و هم مهتمين بصوتهم أخر + +353 +00:28:42,530 --> 00:28:46,370 +شيء أريد أن أتكلم عنه في هذه الكلمة هي أسلوب + +354 +00:28:49,380 --> 00:28:53,520 +Okay if you look at the sentence structure or in + +355 +00:28:53,520 --> 00:29:01,680 +the first two stanzas you find that okay how many + +356 +00:29:01,680 --> 00:29:05,420 +types of sentences do we have it's a good grammar + +357 +00:29:05,420 --> 00:29:07,940 +question how many types of sentences do we have + +358 +00:29:07,940 --> 00:29:15,300 +three or four four okay thank you simple compound + +359 +00:29:15,300 --> 00:29:20,740 +complexكمباون وكمبليكس حسنا، هل يمكنك أن تعطينا + +360 +00:29:20,740 --> 00:29:28,980 +مثال عن كلمة بسيطة؟ حسنا، جيد إنها مغضبة، شكرا، + +361 +00:29:28,980 --> 00:29:32,380 +إنهم مغضبين حسنا، هل يمكنك أن تعطينا مثال عن كلمة + +362 +00:29:32,380 --> 00:29:36,060 +كمباون؟ + +363 +00:29:36,060 --> 00:29:43,660 +إنها مغضبة ولكن ذكية إنها مغضبة ولكن ذكية حسنا، هل + +364 +00:29:43,660 --> 00:29:45,740 +يمكنك أن تعطينا مثال عن كلمة كمبلغ؟ + +365 +00:29:55,520 --> 00:30:05,380 +الان اذا تنظر هنا للمصطلحات في عيد الكريسماس و12 + +366 +00:30:05,380 --> 00:30:10,640 +من الساعة الان هم جميعا على قدمهم انه ماذا؟ مصطلح + +367 +00:30:10,640 --> 00:30:16,340 +عميل يجلس كما اننا جلسنا في فلق مثلا هذا ماذا + +368 +00:30:20,100 --> 00:30:26,980 +an eldersen as we sat in the flock complex but it + +369 +00:30:26,980 --> 00:30:32,120 +is like it's not you know it is complex yes but it + +370 +00:30:32,120 --> 00:30:37,460 +is not very intricate you know so here you have we + +371 +00:30:37,460 --> 00:30:41,900 +pictured you know the meek mild creatures where + +372 +00:30:41,900 --> 00:30:46,530 +they dwelt it's you know a relative closenor did + +373 +00:30:46,530 --> 00:30:51,290 +it occur it's another one it's a compound so + +374 +00:30:51,290 --> 00:30:54,870 +usually compound complex but what about the + +375 +00:30:54,870 --> 00:31:03,190 +sentence structure in I feel I feel happy but I + +376 +00:31:03,190 --> 00:31:06,890 +feel happy is a symbol but here do we have this + +377 +00:31:06,890 --> 00:31:14,090 +symbol you know sentence structure I feelIt is + +378 +00:31:14,090 --> 00:31:17,070 +interrupted like because I feel you don't have the + +379 +00:31:17,070 --> 00:31:21,350 +compliment I feel if someone so this is what they + +380 +00:31:21,350 --> 00:31:27,070 +it is what we call embedded close if I feel if + +381 +00:31:27,070 --> 00:31:33,590 +someone you know said on a Christmas Eve it's a + +382 +00:31:33,590 --> 00:31:37,310 +conditional sentence and the conditional sentences + +383 +00:31:37,310 --> 00:31:42,380 +if you remember they have to do with whatأشعر + +384 +00:31:42,380 --> 00:31:46,920 +بالتأكيد أو لا تأكيد؟ لا تأكيد. مرة أخرى، نحن نحب + +385 +00:31:46,920 --> 00:31:49,960 +أن هذا يتم تفكيره. إذا كان شخص ما .. انظر هنا، + +386 +00:31:49,960 --> 00:31:53,640 +الكثير من الأسلحة تم تغييرها من خلال أسلحة مضمونة + +387 +00:31:53,640 --> 00:31:58,120 +إذا كان شخص ما قلت في عيد الكريسماس، تعال وشوف + +388 +00:31:58,120 --> 00:31:59,080 +أكسلنيل + +389 +00:32:03,680 --> 00:32:08,280 +في الـ Lonely Barton، إذا كان شخص يجلس على عيد + +390 +00:32:08,280 --> 00:32:11,960 +الكريسماس، فليس لدينا، تعرفين، تعرفين، تعرفين، + +391 +00:32:11,960 --> 00:32:14,800 +تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، + +392 +00:32:14,800 --> 00:32:15,760 +تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، + +393 +00:32:15,760 --> 00:32:16,260 +تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، + +394 +00:32:16,260 --> 00:32:16,680 +تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، + +395 +00:32:16,680 --> 00:32:25,860 +تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، تعرفن، + +396 +00:32:25,860 --> 00:32:34,010 +تعرفن، تعرفن، تعرفsid come on هو موضوع الفعل said + +397 +00:32:34,010 --> 00:32:39,430 +إذا قال شخص ما هو قوله come and see فهو you come + +398 +00:32:39,430 --> 00:32:43,570 +and see فهو قصة نفسه في الـ lonely barton مرة أخرى + +399 +00:32:43,570 --> 00:32:48,170 +لا يوجد نظرة هنا كيف انتقالة هي أسلوب الكلمة فهي + +400 +00:32:48,170 --> 00:32:52,690 +مشكلة جدًا في الـ lonely barton بيوندرسو طفولتنا + +401 +00:32:52,690 --> 00:33:00,330 +كنا نعرف أنها قصة أخرىعارف؟ في الـ Lonely Barton، + +402 +00:33:00,330 --> 00:33:09,030 +هذا مصطلح من مكان، ثم لديك ملابس مفتوحة ومازلنا + +403 +00:33:09,030 --> 00:33:16,050 +ننتظر، عارف؟ موضوع ما أشعر أو مصطلح ما أشعر، ليس + +404 +00:33:16,050 --> 00:33:21,410 +هناك، إنه مختصر جدًا، مصطلح كلمة مشكلة جدًا، + +405 +00:33:21,410 --> 00:33:26,710 +طفولتنا كانوا يعرفونماهي كتابة كتابة كتابة كتابة + +406 +00:33:26,710 --> 00:33:38,450 +كتابة كتابة كتابة كتابة كتابة كتابة كتابة كتابة + +407 +00:33:38,450 --> 00:33:49,490 +كتابة كتابة + +408 +00:33:54,110 --> 00:33:57,750 +our childhood used to know you see what I mean + +409 +00:33:57,750 --> 00:34:01,490 +it's an adjective closed yes it is reduced + +410 +00:34:01,490 --> 00:34:05,290 +adjective closed it's not reduced we have what we + +411 +00:34:05,290 --> 00:34:11,110 +call ellipses it is not reduced جهان we have + +412 +00:34:11,110 --> 00:34:14,270 +ellipses which you know for example this is the + +413 +00:34:14,270 --> 00:34:19,940 +book that I read this is the book I readthe reduce + +414 +00:34:19,940 --> 00:34:24,340 +is like this the man you know talking to his wife + +415 +00:34:24,340 --> 00:34:28,160 +is losing his mind you know this is like an + +416 +00:34:28,160 --> 00:34:34,040 +example of okay good but again used to what is + +417 +00:34:34,040 --> 00:34:39,360 +used to is it is it is what something happened in + +418 +00:34:39,360 --> 00:34:42,540 +the past yeah but what what kind of verb is this + +419 +00:34:42,540 --> 00:34:46,720 +it's a model verb thank you why is it a model verb + +420 +00:34:50,860 --> 00:34:57,160 +أنا كنت أفعل شيء أو أفعل شيء أو أفعل شيء أو أفعل + +421 +00:34:57,160 --> 00:34:57,780 +شيء أو أفعل شيء أو أفعل شيء أو أفعل شيء أو أفعل + +422 +00:34:57,780 --> 00:34:57,880 +شيء أو أفعل شيء أو أفعل شيء أو أفعل شيء أو أفعل + +423 +00:34:57,880 --> 00:34:59,520 +شيء أو أفعل شيء أو أفعل شيء أو أفعل شيء أو أفعل + +424 +00:34:59,520 --> 00:35:00,160 +شيء أو أفعل شيء أو أفعل شيء أو أفعل شيء أو أفعل + +425 +00:35:00,160 --> 00:35:00,260 +شيء أو أفعل شيء أو أفعل شيء أو أفعل شيء أو أفعل + +426 +00:35:00,260 --> 00:35:02,500 +شيء أو أفعل شيء أو أفعل شيء أو أفعل شيء أو أفعل + +427 +00:35:02,500 --> 00:35:10,380 +شيء أو أفعل شي + +428 +00:35:11,760 --> 00:35:16,180 +الثاني جزء من المصطلح الواضح ومن ثم يتمنى أن يكون + +429 +00:35:16,180 --> 00:35:20,980 +كذلك هذا هو الانتجار لـ I feel تتمنى أن يكون كذلك + +430 +00:35:20,980 --> 00:35:26,980 +كما ترى هذه قصة غريبة جدًا، أليس كذلك؟ لكن انظر + +431 +00:35:26,980 --> 00:35:31,980 +إلى كيف استخدام الانتجار الوضعي جدًا مفيد جدًا. + +432 +00:35:32,540 --> 00:35:37,140 +نحن استخدمنا .. نحن استخدامنا انتجار الانتجار + +433 +00:35:37,140 --> 00:35:46,450 +الوضعياستكشف المعنى الداخل من القصة وكما + +434 +00:35:46,450 --> 00:35:52,430 +تعلمين كل ما قلته أو ليس كل ما قلته بعضها تجد في + +435 +00:35:52,430 --> 00:35:57,230 +القراءة إذا كنت تذهب اتركها لك في الاختصارات في + +436 +00:35:57,230 --> 00:36:00,990 +الاختصارات في الخلف من ..كما تعلمين شيء يسمى + +437 +00:36:00,990 --> 00:36:07,870 +استياليستيكي اناليسيز من الأكسيد لذا قم بقرأهوإذا + +438 +00:36:07,870 --> 00:36:12,650 +كان لديك أي سؤال عن هذا يمكننا أن نتكلم عنه في + +439 +00:36:12,650 --> 00:36:15,910 +المرة القادمة لذا في المرة القادمة لن أعطيك قصة + +440 +00:36:15,910 --> 00:36:22,730 +جديدة ستكون مثل تحديث أكتر عن هذه القصة وانت تعرف + +441 +00:36:22,730 --> 00:36:31,570 +انها تحديث عام قبل أن نقوم ونفعل مثل قصة الحرب + +442 +00:36:31,570 --> 00:36:33,070 +Wilfred Owen + +443 +00:36:36,080 --> 00:36:39,700 +Okay do you have any question thank you for + +444 +00:36:39,700 --> 00:36:42,260 +listening and see you next time + diff --git a/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/xWZ2TPdl7Uw_raw.json b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/xWZ2TPdl7Uw_raw.json new file mode 100644 index 0000000000000000000000000000000000000000..eb28d3cbf82206d572109229d9e8375cac933de4 --- /dev/null +++ b/SKIP:::PL9fwy3NUQKwZ52Wxrug71SHLnFjqhlVJc/xWZ2TPdl7Uw_raw.json @@ -0,0 +1 @@ +{"segments": [{"id": 1, "seek": 2580, "start": 0.0, "end": 25.8, "text": "Good morning everybody how are you? how was the weekend? very busy or you were relaxed? no 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