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A set of four equations that define electrodynamics. They comprise the Gauss laws for the electric and magnetic fields, the Faraday law, and the Ampère law. Together, these equations uniquely determine the electric and magnetic fields of a physical system. DO NOT USE THIS TAG for the Maxwell-Boltzmann distribution, or the thermodynamical equations known as Maxwell's relations.
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How to interpret charge continuity equation for conductors that obey Ohm's law?
For conductors, we propose that the free current density is proportional to the applied Electric field and the constant of proportionality is defined as conductivity.
\begin{equation}
\textbf{J}_\text …