= Ampère's circuital law
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{title2=$\oint_C\mathbf B\cdot d\boldsymbol\ell=\mu_0I_{\mathrm{enc}}$}
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= Ampère's law
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In vacuum <magnetostatics>, the <Ampère-Maxwell equation> reduces to $\nabla\times\mathbf B=\mu_0\mathbf J$. Applying <Stokes theorem> gives $\oint_C\mathbf B\cdot d\boldsymbol\ell=\mu_0I_{\mathrm{enc}}$, where $I_{\mathrm{enc}}$ is the <electric current> crossing an oriented spanning surface. Time-dependent <electric fields> require the additional <displacement current> term in the <Ampère-Maxwell equation>.
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