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Question

An induced current is produced when a magnet is moved into a coil. Does the magnitude of induced current depend on the number of turns of the coil? If so, how?

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Solution

Yes,the magnitude of induced current is depends on number of turns of the coil.
When the turns are more while the magnet is moving through the coil it cutts more magnetic field lines,so more emf(Emf= NBA/t)is induced in the coil.So induced current(i=emf/resistance) is depend on number of turns.

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