Consider a point charge q placed at position where the potential is V. The potential energy associated with the interaction of this single charge with the charges that created V is
U = qV
If the source of the potential is a point charge Q, the potential at a distance r from Q is
V = kQ/r. Therefore, the potential energy shared by two charges q and Q separated by r is
Implicit in Equation is the choice U = 0 at r = ¥, which allows the following interpretation.
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