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A long solenoid ‘S’ has ‘n’ turns per meter, with diameter ‘a’. At the centre of this coil, we place a smaller coil of ‘N’ turns and diameter ‘b’ (where b

The solenoid’s changing magnetic field is represented as:

onI = B1(t) (t)

The second coil’s magnetic flux is

2 = onI(t).b2

As a result of the solenoid’s changing magnetic field, the induced emf in the second coil is –oNn b22mt.