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 5.03 %u03BCF.  The resistance in the circuit is small enough to ignore.

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

(b) At the instant of time for which the current in this circuit is a maximum, what is the EMF of the generator?
     V

(c) At the instant of time for which the EMF of the generator is %u221213.7500 V and increasing in absolute value, what is the current in the circuit?
     A

(d) At the same instant of time as in part (c), what is the power output of the generator?
     W

Explanation / Answer

XC = 1/2pifC = 1/2*3.14*60* 5.03*10^-6 = 527.6 ohms

a. Imax = V/XC = 25/527.6 = 0.047 A

b. at any onstant V= V0 ,   = 25V

c. i = 13.75/527.6 = 0.026 A

d. power = V0i = 0.026*13.75 =0.358 Watts

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