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The force between two point charges q(1)...

The force between two point charges `q_(1) and q_(2)` separted by a distance r is `F = (kq_(1)q_(2))/(r^(2))` where k is a constant. Find the potential energy of the system of charges.

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`F = - (dU)/(dr) rArr dU = - Fdr`
Integrating `U = - int_(0)^(r) Fdr = -kq_(1)q_(1) int_(0)^(r) r^(-2)` dr
`rArr U = (kq_(1)q_(2))/(r)`
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