Can someone explain how moving a magnet induces a current?

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Moving a magnet relative to a wire induces a current due to the change in magnetic flux, which affects the electrons in the wire. Even if electrons are already in motion, the relative movement alters the magnetic field experienced by the wire, resulting in an induced voltage. This induced voltage can drive current if there is a complete circuit. The discussion highlights the importance of understanding how relative motion between magnetic fields and conductors leads to electromagnetic induction. Clarifying these concepts is essential for grasping the principles of electromagnetism.
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I have heard multiple explanations of how relativity causes magnetism, and I think I understand it enough to puzzle it out in my head, but what I don't get is how moving a magnet in relation to a wire induces a current if the electrons are already moving in relation to the wire. Can somebody explain? I am new to this...
 
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Before I spend a lot of time trying to explain let me be sure I understand your question...

Suppose you have 2 parallel wires 1 meter apart. Wire 1 carries a current and so is your 'magnet'. As the wire 2 moves towards wire 1 a voltage will be induced into wire 2. If there is a path for current to flow that voltage will result in current.

Are you asking why the voltage is induced or what would be happening if wire 2 were already carrying a current in the direction of the voltage?
 
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sorry for the time,

if the electrons in wire 2 are already moving in relation to the electrons in wire 1, then why does changing their relative motion induce an electric current?
 

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