In an L-R-C series circuit the current is given by i = I
Chapter 31, Problem 31.67(choose chapter or problem)
In an L-R-C series circuit the current is given by i = I cosvt. The voltage amplitudes for the resistor, inductor, and capacitor are VR, VL, and VC. (a) Show that the instantaneous power into the resistor is pR = VRI cos2vt = 1 2 VRI11 + cos 2vt2. What does this expression give for the average power into the resistor? (b) Show that the instantaneous power into the inductor is pL = -VLIsinvt cosvt = - 1 2 VLIsin 2vt. What does this expression give for the average power into the inductor? (c) Show that the instantaneous power into the capacitor is pC = VCIsinvt cosvt = 1 2VCIsin 2vt. What does this expression give for the average power into the capacitor? (d) The instantaneous power delivered by the source is shown in Section 31.4 to be p = VI cosvt1cosfcosvt - sinfsinvt2. Show that pR + pL + pC equals p at each instant of time
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