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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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Recipe for finding non-conservative electric field in general case
Consider Faraday's Law in Differential Form:
$$ \nabla \times \vec{E} = -\frac{\partial \vec{B}}{\partial t} $$
This is basically a set of 3 coupled partial differential equations, which could be solv …