Faraday's Law seems more like an observation than an explanation. Sure, a changing magnetic current causes emf, but why?
How does a changing magnetic field cause electrons to move in the direction of a wire? Assume that all you know is Bio-Savart's Law and $\vec{F} = q\vec{v} \times B$
I'm hoping for an explanation similar to how a battery generates a field that causes the electrons to move, which causes surface charge buildup and forces the electrons to move in the direction of the wire.
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