Potential Energy Two Charges

Question

Potential energy of two charges q1 and q2 separated by r?

RankGuru · Accepted Answer

1. **Work Definition**: Potential energy of a system of charges equals the work done to bring the charges from infinite separation to their current positions.
2. **Process**: Bring $q_1$ first (no work). Bring $q_2$ in field of $q_1$.
3. **Formula**: $U = q_2 \cdot V_1 = q_2 \cdot (k q_1 / r)$.
4. **Final Form**: $U = k \frac{q_1 q_2}{r}$.
5. **Sign Rule**: Energy is positive for like charges (repulsion requires positive work) and negative for unlike charges (attraction results in spontaneous assembly).

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Potential Energy Two Charges

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