The drawing shows two different charge configurations, but in each case a charge

Question

The drawing shows two different charge configurations, but in each case a charge q is located at the origin. A charge q0 is placed a distance r from the origin (top drawing), and a charge 2q0 is placed a distance 2r from the origin (bottom drawing). All charges are positive. Which statement is true regarding the electric potential energy EPE (not the electric potential V) of the charges in the top drawing relative to those in the bottom drawing?

a) The charges in the top drawing have a greater electric potential energy because they are closer together.

b) The charges in the bottom drawing have a greater electric potential energy because they have a greater total charge.

c) The charges in the top drawing have a smaller electric potential energy because they are closer together.

d) The charges in the top drawing have the same electric potential energy as those in the bottom drawing.

Explanation / Answer

d) The charges in the top drawing have the same electric potential energy as those in the bottom drawing. PE=kq/r.

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