Question

Problem 1 3Q 2 a) The figure shows three charges qi, q2, and q3, situated at corners of a rectangle of sides a - 15.0 cm and b-7.0 cm For q,-4.60 pC, q2 =-4.60 μC and q3 = 2.00 μC, find the electric potential at the center of the rectangle. 2.17x105 v You are correct. Computer's answer now shown above. Your receipt is 160-5179 b) Continuing with the figure above, how much work is required in moving q3 to infinity while qi and q2 remain in their positions? の Previous Tries

Answer 1

Given data q_1 = 4.6 times 10^- 6 c q_2 = -4. 6 times 10^- 6 c q_3 = 2 times 10^- 6 c a = 15cm b = 7cm = 0.15 m = 0.07 m r = d/2 = squareroot a^2 + b^2/2 = 0.0827 m for potential = kq/r v = k [q_1 + q_2 + q_2 /r] = 9 times 10^9 (4.6 - 4.6 + 2/0.08 + 7 0 times 10^-6 = 9 times 10^9 (2/0.0827) times 10^- 6 = 2.41 times 10^5 v For energy expended u = k [q_2 q_3/2r + q_3 q_1 /b] = 9 times 10^9 [(-4.6 times 10^6) times (2 times 10^-6) /2 times (0.0827) + 2 times 10^- 6 (4.6 times 10^-6) /0.07] = 9 times 10^9 [9.2 times 10^-12/0.1654 + 9. 2 times 10^-12/0.07] = 9 times 10^9 (55.623 times 10^-12 + 131.42 times 10^-12] = 1683 times 10^-3 J