An infinitely long solenoid has n turns per length, a radius R, and carries a current I = Io( e^-?t )cos?t where ?, Io, and ? are constants. a. What is the magnitude of the induced electric field (as a function of t) at a distance R/2 from the central axis of the solenoid? b. What is the magnitude of the induced electric field (as a function of t) at a distance R/2 from the central axis of the solenoid? c. A ring of resistance ? and radius 2R surround the solenoid so that their central axes coincide. What is the magnitude of the current induce in the ring