Question

Parts A-C two charges are placed at the corner of a square as shown. find the electric field at the top right corner, calculate the voltage at the top left and right corner

Two charges are placed at the comers of a square as shown. 3m 4m 41 =12 °C 92 =-2 uc (a) (12 pts) Find the electric field (magnitude and direction) at the top right corner. (b) (8 pts) Calculate the voltage at the top left and top right corner. (C) (5 pts) A +3 pc charge is moved from the top left corner to the top right corner, what is the work done in moving this charge?

Answer 1

Given av 3m ER 12 u C a = -2MC sistances A B = 4m Bc = 3m um AD - 3m Tus um a, = +12 MC =-2 uc Diagonal distance BD 374 2 Sm Electic field at ES Kr CA = BO=5m c due to charge 9, 9x109 x 12 x106 4: 's)? 43 20 NC Along AC S r = 5m=AC Electic field at c due to charge 22 Kq2 9x109 x 2x10-6 (CB)2 (392 = 2000 a along CB anda Ez is 135 Resultant Electric field cuc is E + E + 2 E, E cos 135 144320)2 + (povo) + 2x43 20 x2000 C03135 angle bw E ER 3231-6N/C Ez sinis tan B = E, & E28205135 200 si n135 4320 + 2000 Cos 135

fan B 0.486 25.9° from Ez voltage at o and c Electric potential due to a system of charges V = V, TV₂ TV3 D VoAtve VOB Kq t K a2 AD 9x109x12x10 6 9x109 x2x106 3 32400 v and Ves VCA + VCB Vc Ka, CA fkar CB Vc = 9x109 x 124106_9x109 x 2X166 3 92103 ( 12 2 3 156wv