A long solenoid of radius 0 01 has 600 turns per metre A smaller coil of 100 turns is - Physics - Electromagnetic Induction

Question

A long solenoid of radius 0 01 has 600 turns per metre A smaller
coil of 100 turns is wrapped closely around the center of the
bigger solenoid If the current in the solenoid rises from 0 to 2A
in 1ms, find emf induced in the smaller coil

Apurba Paul · Accepted Answer

The magnetic field produced when the current was 2 A is
B=μ0nI=1 25×10-6×600×2=0 0015 T
So the rate of change of magnetic field is 0 0015-01×10-3=1
5 T/s
Now induced emf is given by emf=-NdBdt=-100×1 5=-150 V

A long solenoid of radius 0.01 has 600 turns per metre. A smaller coil of 100 turns is wrapped closely around the center of the bigger solenoid. If the current in the solenoid rises from 0 to 2A in 1ms, find emf induced in the smaller coil.