# Relation between E and V

The potential difference between two points A and B is $V_{AB}=&space;V_{A}-V_{B}$ and $V_{BA}=&space;V_{B}-V_{A}$.

i.e, $V_{AB}=-V_{BA}$

$V_{AB}+V_{BA}=0$.

This equation implies that the total work done in moving a charge from A to B $(V_{AB})$and then from B to A $(V_{BA})$ is zero.

i.e, $\oint_{l}\overrightarrow{E}.\overrightarrow{dl}=0$

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