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Electricity and Magnetism

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Moderate

The Potential Due to Four Charges in the Center of a Square

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Figure 1 depicts four charges arrayed on the corners of a square of side length $s = 2.00$ mm. Three of the charges are positive and one of them is negative, as shown in the figure. The magnitude of all charges is the same, so that $q_1 = q_2 = q_4 = +1.00$ nC and $q_3 = -1.00 nC$.

Figure 1. “Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.”

What is the electric potential at the center of the square, at point $A$?

A

$V = \left(8.99 \times 10^6\right) \hat{x} – \left(8.99 \times 10^6\right) \hat{y}$ Volts.

B

$V = 1.27 \times 10^4$ Volts.

C

$V = \left(1.80 \times 10^4\right) \hat{x} – \left(1.80 \times 10^4\right) \hat{y}$ Volts.

D

$V = 1.80 \times 10^4$ V.olts