An AC generator has a sinusoidal EMF with a maximum value of 25.0 V and a freque

Question

An AC generator has a sinusoidal EMF with a maximum value of 25.0 V  and a frequency of 60.0 Hz; the generator is connected to a capacitor of capacitance 4.81 uF.  The resistance in the circuit is small enough to ignorestyle="font-family: georgia;">color="red">color="red">color="red">

(a) What is the maximum value of the current in this AC circuit?

(c) At the instant of time for which the EMF of the generator is -7.5000 V and increasing in absolute value, what is the current in the circuit?
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(d) At the same instant of time as in part (c), what is the power output of the generator?

Explanation / Answer

V = v0 sin wt

a. Imax = CwV0

I = Imax cos wt

Imax = 4.81 *10^-6 * 2*3.14*60*25 =0.045 A

b. i = cwV

i = 4.81 *10^-6 *2*3.14*60*-7.5 =0.013 A

c. power = VI = 0.013 *7.5 =0.0975 wats

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