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## alfers101 2 years ago Please help: Calculate the electric field at the center of a square 52.5cm on a side if one corner is occupied by a +45uC charge and the other three occupied by -27uC charges. Delete Cancel Submit

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1. baldymcgee6
• 2 years ago
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sounds like physics bud

2. baldymcgee6
• 2 years ago
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but i will help you anyway. you just need to find the NET electric field.

3. baldymcgee6
• 2 years ago
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if you want me to help. . .

4. baldymcgee6
• 2 years ago
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Do you know the formula for electric field?

5. alfers101
• 2 years ago
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is it E=F(R)/Q ??

6. baldymcgee6
• 2 years ago
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$E= kq/r^2$

7. alfers101
• 2 years ago
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okay. then?

8. baldymcgee6
• 2 years ago
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|dw:1340433733455:dw|

9. baldymcgee6
• 2 years ago
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does the question say the side length of the square is 52.5cm?

10. alfers101
• 2 years ago
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The question say: "at the center of a square 52.5cm on a side if one corner is occupied by a +45uC charge..."

11. baldymcgee6
• 2 years ago
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okay, i'm going to assume the "side length" is 52.5cm

12. alfers101
• 2 years ago
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okay. i think it is the length.

13. baldymcgee6
• 2 years ago
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|dw:1340433904871:dw|

14. alfers101
• 2 years ago
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okay.

15. alfers101
• 2 years ago
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hmm i think thats it.

16. baldymcgee6
• 2 years ago
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you need the length from the corner to the charges. do you know how to find that?

17. alfers101
• 2 years ago
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sorry i dont know.

18. baldymcgee6
• 2 years ago
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okay, if we have the side length of 52.5cm, to find the diagonal length we multiply this by $\sqrt{2}$

19. baldymcgee6
• 2 years ago
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can you do that?

20. alfers101
• 2 years ago
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52.5 * sqrt of 2 ?

21. baldymcgee6
• 2 years ago
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yes = ?

22. alfers101
• 2 years ago
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74.24

23. alfers101
• 2 years ago
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but why sqrt of 2 ?

24. baldymcgee6
• 2 years ago
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because a square is in the form of x^2+y^2=2.. you can look into it later, and just trust me.

25. alfers101
• 2 years ago
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okay sure.

26. baldymcgee6
• 2 years ago
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haha, k... so that 74.25cm is the diagonal length, we divide this by 2 to give us the corner to center length

27. alfers101
• 2 years ago
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its 37.12

28. baldymcgee6
• 2 years ago
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okay so now we can use our formula.

29. alfers101
• 2 years ago
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okay.

30. baldymcgee6
• 2 years ago
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E=(kq)/r^2

31. alfers101
• 2 years ago
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our k is 9x10^9 ?

32. baldymcgee6
• 2 years ago
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close enough, in physics we typically use 8.99 x 10^9

33. alfers101
• 2 years ago
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oh but can we use 9x10^9 ?

34. baldymcgee6
• 2 years ago
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we have to calculate each individual electric field. sure, it is close enough.

35. alfers101
• 2 years ago
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okay. then our Q is what? our R is 37.12 ?

36. baldymcgee6
• 2 years ago
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our q is the charge, there are 4 different charges. +45uC and -27uC, -27uC, -27uC

37. alfers101
• 2 years ago
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so we will use the four different charges? one by one?

38. baldymcgee6
• 2 years ago
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we will do two separate computations as three of them will be the same (-27uC)

39. baldymcgee6
• 2 years ago
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so lets get started

40. alfers101
• 2 years ago
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okay sure lets get started

41. baldymcgee6
• 2 years ago
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fill this in with what we know: E=(kq)/r^2

42. baldymcgee6
• 2 years ago
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or just do it on you're calculator and tell me the two answers

43. alfers101
• 2 years ago
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E=(9x10^9) (+45uC)/37.12 ?

44. baldymcgee6
• 2 years ago
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close... E=(9x10^9*45E-6)/(37.12)^2 dont forget to square the denominator

45. baldymcgee6
• 2 years ago
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and also remember the units for the charge is in micro coulombs

46. baldymcgee6
• 2 years ago
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therefore 45E-6

47. alfers101
• 2 years ago
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why is the exponent is -6 ?

48. baldymcgee6
• 2 years ago
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i just told you, because the units are in uC

49. baldymcgee6
• 2 years ago
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that little "u" mean E-6

50. alfers101
• 2 years ago
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oh yeah

51. baldymcgee6
• 2 years ago
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52. alfers101
• 2 years ago
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then the C means coulombs?

53. baldymcgee6
• 2 years ago
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correct

54. alfers101
• 2 years ago
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0.00079

55. baldymcgee6
• 2 years ago
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you used this? E=(9x10^9*45E-6)/(37.12)^2

56. alfers101
• 2 years ago
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yup i did

57. baldymcgee6
• 2 years ago
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well i'm afraid that is wrong, you must have typed it in wrong

58. baldymcgee6
• 2 years ago
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59. alfers101
• 2 years ago
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let me check

60. alfers101
• 2 years ago
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E means exponent right?

61. baldymcgee6
• 2 years ago
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k dude, you take way to long. I need to sleep. You should get a value of 293.55 N/C for the +45uC and you should get -176.13 N/C for the -26uC

62. alfers101
• 2 years ago
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its -27uC

63. baldymcgee6
• 2 years ago
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right, -27uC still the same answer.

64. baldymcgee6
• 2 years ago
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i think you should be able to do it from here.. i've been helping you for over an hour.

65. alfers101
• 2 years ago
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okay thank you so much.

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