Line Integral/Examples/Potential Difference

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Example of Line Integral

Let $\mathbf E$ be an electric field acting over a region of space $R$.

Let $OA$ be a curve in $R$.

Let $\d \mathbf l$ be a small element of length of $OA$ at a point $P$.

Then the potential difference between $O$ to $A$ is given by the line integral:

$\ds \int_O^A \mathbf E \cdot \d \mathbf l$