Is it possible to cause the appearance of an induction current in a closed coil, if the current strength in another

Is it possible to cause the appearance of an induction current in a closed coil, if the current strength in another coil inside it remains unchanged?

Yes. possible if the second coil is pushed in or out of the first. Such movement of the second coil will lead to a change in the magnetic flux and to the appearance of an induction current in the first coil.

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