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 PR at which electrical energy is being consumed in the resistor. In terms of ε, R, and L, at what value of t is PR a maximum? What is that maximum value? (b) Use Eqs. (30.14) and (30.15) to derive an equation tor PL, the rate at which energy is being stored in the inductor. (c) What is PL at t = 0 and as t→∞? (d) In terms of ε, R, and L, at what value of t is PL a maximum? What is that maximum value? (e) Obtain an expression for Pε 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 Pε a maximum? What is that maximum value?
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