Line Integral/Examples/Electromotive Force

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Example of Line Integral

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

Let $\Gamma$ be a closed curve in $R$.

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

Then the electromotive force in $\Gamma$ is given by the line integral:

$\ds \int_\Gamma \mathbf E \cdot \d \mathbf l$