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Why do magnets generate current under certain circumstances?
This is determined by the physical phenomenon of electromagnetic induction. Without electromagnetic induction, there would be no current.

Especially AC electromagnetic induction, the higher the frequency, the stronger the electromagnetic induction intensity and the greater the induced current.

The current generated in the magnet, and the term "eddy current".

Eddy currents can generate heat, even high heat, such as induction cookers.

Induction cooker, that is, the bottom part of the pot made of ferromagnetic material, induces high-frequency eddy current and generates heat efficiently.