Chapter 30, Problem 30.48P

CALC Consider the circuit in Fig. 30.11 with both switches open. At t = 0 switch S₁, is closed while switch S₂ is left open. (a) Use Eq. (30.14) to derive an equation for the rate P_R at which electrical energy is being consumed in the resistor. In terms of ε, R, and L, at what value of t is P_R a maximum? What is that maximum value? (b) Use Eqs. (30.14) and (30.15) to derive an equation tor P_L, the rate at which energy is being stored in the inductor. (c) What is P_L at t = 0 and as t→∞? (d) In terms of ε, R, and L, at what value of t is P_L a maximum? What is that maximum value? (e) Obtain an expression for P_ε the rate at which the battery is supplying electrical energy to the circuit. In terms of ε, R, and L, at what value of t is P_ε a maximum? What is that maximum value?