An L-R-C series circuit is connected to an ac
Chapter 31, Problem 31.49(choose chapter or problem)
An L-R-C series circuit is connected to an ac source of constant voltage amplitude V and variable angular frequency v. (a) Show that the current amplitude, as a function of v, is I = V 2R2 + 1vL - 1>vC22 (b) Show that the average power dissipated in the resistor is P = V2 R>2 R2 + 1vL - 1>vC22 (c) Show that I and P are both maximum when v = 1>2LC, the resonance frequency of the circuit. (d) Graph P as a function of v for V = 100 V, R = 200 , L = 2.0 H, and C = 0.50 mF. Compare to the light purple curve in Fig. 31.19. Discuss the behavior of I and P in the limits v = 0 and v S q.
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