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The force between two point charges q1 a...

The force between two point charges `q_1` and `q_2` separated by a distance r is `F = (k q_1 q_2)/(r^2)` where k is a constant. Find the potential energy of the system of charges.

Text Solution

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`F = -(dU)/(dr) implies dU = -F dr`
Integrating `U = - int_0^(r) F dr = - k q_1 q_2 int_0^r r^(-2) dr`
`implies U = (kq_1 q_2)/(r)`
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