Electric Potential

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Potential at distance r from point charge q (zero at infinity) is:

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Electric Potential ($V$) at a point is the work done per unit charge in bringing a positive test charge from infinity to that point.
- For a point charge $q$ at distance $r$:
$V = \frac{kq}{r} = \frac{1}{4\pi \epsilon_0} \frac{q}{r}$
- Note: $V$ is a **scalar** quantity. It depends on the sign of $q$.

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