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But not in the case of a coil rotating in a magnetic field (if so, are the underlying physics causing a current to be generated in a...

So in most cases, is the induction from a coil in a magnetic field not due to Faraday's Law of Induction? So the electric field is...

So Faraday's Law of induction states this: $$ \nabla \times E = - \frac {\partial B} {\partial t} $$ Or if we write it in it's integral...