Question

The figure shows three charges q1, q2, and q3, situated at corners of a rectangle of sides a = 14.0 cm and b = 8.0 cm. For q1 = 5.70 μC, q2 = -5.70 μC,and q3 = 1.60 μC, find the electric potential at the center of the rectangle. b) Continuing with the figure above, how much work is required in moving q3 to infinity while q1 and q2 remain in their positions?

Problem 1 2 a) The figure shows three charges q1-q2, and q3, situated at corners of a rectangle of sides a = 140 cm and b-80 cm. For q1 = 5.70 pC, q2 =-5.70 μC,and q3 = 1.60 C, find the electric potential at the center of the rectangle. 1.78x105 v You are correct. Computer's answer now shown above Your receipt is 160-795 b) Continuing with the figure above, how much work is required in moving q3 to infinity while qi and q2 remain in their positions? Previous Tries 0.00792 J Submit Answer Incorrect. Tries 3/6 Previous Tries

Answer 1

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Answer 2

Distance of q_1 from center = squareroot a^2/4 + b^2/4 = squareroot a^2 + b^2/2 Distance of q_2 from center = squareroot (a^2 + b^2)/2 Distance of q_3 from center = squareroot (a^2 + b^2) /2 Electrical potential at center due to q_1 (V_1) = q_1 /4 pi epsilon_0 (squareroot a^2 + b^2 /2) similarly potential at center due to q_2 (V_2) = q_2 /4 pi epsilon_0 (squareroot a^2 + b^2 /2) Potential at center due to q_3 (V_3) = q_3 /4 pi epsilon_0 (squareroot a^2 + b^2 /2) Total Potential V = V_1 + V_2 + V_3 V = q_1 /4 pi epsilon_0 (squareroot a^2 + b^2 /2) + q_2/4 pi epsilon_0 (squareroot a^2 + b^2 /2) + q_3/4 pi epsilon (squareroot a^2 + b^2 /2) V = 1/4 pi epsilon_0 squareroot a^2 + b^2 /2 [q_1 + q_2 + q_3] Putting values of a = 14 cm b = 8cm = 0.08 m. q_1 = 5.70 times 10^-6 c q_2 = -5.7 times 10^-6 c q_3 = 1.6 times 10^-6