3. (20 points) For the circuit in the figure, assume that S = 10.0 V, R = 12.5 2, and L = 4.7 H. The switch S is closed at time t = 0; when t = 2 T (T is the time constant). (a) How much energy is delivered by the battery? (b) How much of this energy is stored in the magnetic field of the inductor? (c) How much of this energy is dissipated in the resistor? (d) A long time later, what are the current i, the rate of change for current di/dt, and the voltage across the inductor? S R