(a) Write down Faraday's Law of electromagnetic induction. Define all of the terms used and state any sign conventions employed. (b) A circular loop of wire, radius
a, and resistance
R, is threaded by a time-varying, externally applied magnetic field that is always normal to the plane of the wire. The magnetic field has a magnitude
B=B0(1+αt).(i) Derive an expression for the induced emf, current and electric field around the loop and hence the current flowing in the wire. Show...