Part a of the drawing shows a resistor and a charged capacitor wired in series.

Question

Part a of the drawing shows a resistor and a charged capacitor wired in series. When the switch is closed, the capacitor discharges as charge moves from one plate to the other. Part b shows the amount q of charge remaining on each plate of the capacitor as a function of time. In part c of the drawing, the switch has been removed and an ac generator has been inserted into the circuit. The circuit elements in the drawing have the following values: R=16.0 ?, Vrms = 18.0 V for the generator, and f = 360 Hz for the generator. The time constant for the circuit in part a is ? = 3 x10-4 s. What is the rms current in the circuit in part c?

Explanation / Answer

C = tau/R = 18.75 muF

Xc = 1/wc = 1/(620*pi*18.75 E-6) = 27.4

Z = sqrt(16^2 + 27.4^2) =31.73 ohm

I rms = Vrms /Z = 0.567 A

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