 Charge continuity equation (source code)

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= Charge continuity equation
{title2=$\partial_t\rho+\nabla\cdot\mathbf J=0$}

The local form of <conservation of electric charge> relates <charge density> to <current density>. Taking the <divergence> of the <Ampère-Maxwell equation> and substituting <Gauss's law> proves the equation, using that the <divergence of a curl is zero>.

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