# Derive the formula for the electric potential energy of two point charges

Consider a system of two charges containing two charges q1 and q2 fixed at two points A and B. AB=r1. Now q2 is taken from B to a new point C along AB and AC=r2

If the charge is displaced from r to r+dr then work done

dw=F.dr

total work done

Change in potential energy

U(r_2)-U(r_1)=-W

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