A long solenoid, of radius a, is driven by an alternating current, so that the magnetic field is sinusoidal: B = Bo*sin(wt). A circular loop of wire, of radius a/2 and resistance R, is placed inside the solenoid and is coaxial with it.
(a) Find the magnetic flux.
(b) Find the induced emf.
(c) Find the current induced in the loop as a function of time.
(d) Find the self-inductance.