A very long solenoid with a circular cross section and radius r1= 1.40 cm with ns=...

A very long solenoid with a circular cross section and radius r₁= 1.40 cm with n_s= 300 turns/cm lies inside a short coil of radius r₂= 4.40 cm and N_c= 30 turns.

If the current in the solenoid is ramped at a constant rate from zero to I_s= 2.10 A over a time interval of 75.0 ms, what is the magnitude of the emf in the outer coil while the current in the solenoid is changing?

What is the mutual inductance between the solenoid and the short coil?

Now reverse the situation. If the current in the short coil is ramped up steadily from zero to I_c= 2.80 A over a time interval of 11.0 ms, what is the magnitude of the emf in the solenoid while the current in the coil is changing?

Expert Solution

We know the emf induced in the coil is given by

Change in magnetic flux due to solenoid with time.

Again if M be the mutual induction then

Emf = MI , I is current.

genius_generous answered 2 years ago

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