Four point charges are located at the corners of a square that is L = 7.99 cm on

Question

Four point charges are located at the corners of a square that is L = 7.99 cm on a side. The charges are Q, 2Q, -3Q, and 2Q, as shown in the figure above, where Q = 5.38 ?C.

What is the total electric potential energy stored in the system relative to U = 0 at infinite separation?

Four point charges are located at the corners of a square that is L = 7.99 cm on a side. The charges are Q, 2Q, -3Q, and 2Q, as shown in the figure above, where Q = 5.38 ?C. What is the total electric potential energy stored in the system relative to U = 0 at infinite separation?

Explanation / Answer

potential energy = -Kq1q2/r

In this case, U = -kQ*2Q/L + K2Q*3Q/L + k3Q*2Q/L - k*Q*2Q/L - k*2Q*2Q/L + k3Q * Q/L

=> U = 7kQ^2/L = 7 * 9*10^9 * 5.38 * 5.38 * 10^-12 / 7.99 * 10^-2 = 22.8 J

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