Faraday's Law of Induction

\[\nabla \times \mathbf{E}=\frac{ \partial \mathbf{B} }{ \partial t }\] \[\displaystyle\oint_{\text{loop}}E\cdot d\mathbf{l}=- \frac{d\Phi_{B}}{dt}\]

A changing magnetic flux through a loop induces an electric field along the loop.
This is the principle behind generators. Moving a magnet near a coil changes the magnetic flux, producing an electric current.

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Maxwell's Equations
[[Gauss’s Law for Electricity]] The electric flux out of a closed surface is proportional to the total electric charge enclosed....

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