A long solenoid, of radius a, is driven by an alternating current, so that the field ins...

A long solenoid, of radius a, is driven by an alternating current, so that the field inside is sinusoidal: A circular loop of wire, of radius a/2 and resistance R, is placed inside the solenoid, and coaxial with it. Find the current induced in the loop, as a function of time.