How exactly do generators work (Please explain the Faraday's law)

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UsualMan
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Hi, everybody!

I have done tons of research through the Internet, but still can't understand the Faraday's law and how a generator works.

I understand, that inside coils, placed into a rotating magnet, current is generated. But why? What exactly happens to electrons, so they form current? As I read, a static magnetic field influences on electrons only in such way that it changes their direction, but it isn't enough to make current. Why that is a rotating magnetic field, that creates current? How it impacts electrons in comparison to a constant magnetic field?

Will it be right, if I say, that in a rotating magnetic field electrons change their directions asymmetrically - so some electrons approach to other and repel them, thus accelerating their flow?
 
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