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# The Potential Due to Four Charges on the Side of a Square

EANDM-XUXHSS

Figure 1 depicts a square of side length $s = 20.0$ mm on whose corners are arrayed four charges. Each charge has the same magnitude of $q = 1.00$ nC. Three of the charges are positive and one of them is negative, so that $q_1 = q_2 = q_4 = +q$ and $q_3 = -q$. Four points are labeled on the outer square; points $A$, $B$, $C$, and $D$. Each of these points lies at the center point of one side of the outer square.

What is the electric potential at point $C$?

A

$V = 804$ Volts.

B

$V = \left(1.61 \times 10^4\right) \hat{x} – \left(1.80 \times 10^5\right) \hat{y}$ Volts.

C

$V = 599$ Volts.

D

$V = 804 \hat{x} – 804 \hat{y}$ Volts.