Have you ever sat in a bathtub full of water and swoosh back and forth? The water sloshes all about back and forth.
In the wire that’s coiled around the magnet, the water could be thought of as electrons and the magnet as your body.
The magnet swooshes back and forth, which creates an electric field (a bathtub full of water), and with that swooshing electric field, the electrons then move.
Just like a river of water turning a wheel, that turning wheel can now be setup with a series of gears and things to drive a hammer or a grain mill.
Electronics are made in a way to capitalize on the flow of electrons, rather than water. Afterall, electrons are orders of magnitude smaller than a flowing river.
Basically, we convert motion to motion elsewhere; electricity is just on a very small scale.
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