How does the direction of the induced current depend on which pole of the permanent magnet is inserted into the solenoid?
The current is induced in such a direction that the change of flux through the solenoid must always be opposed, as advocated by Lenz law.
In short, if a north pole is moved towards the solenoid, then a counterclockwise current is induced and if north pole is withdrawn or moved away from solenoid the a clockwise current is induced.
Similarly, if south pole of a magnet is moved towards the solenoid, the a clockwise current is induced and if south pole of a magnet is withdrawn or moved away from the solenoid, then a counterclockwise current is induced.
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