The figure shows a series ac circuit. The inductor has a reactance of 50 ? and a

Question

The figure shows a series ac circuit. The inductor has a reactance of 50 ? and an inductance of 220 mH. An 80-? resistor and a capacitor whose reactance is 160 ? are also in the circuit, and the rms current in the circuit is 2.2 A. What is the voltage amplitude across the capacitor? The figure shows a series ac circuit. The inductor has a reactance of 50 ? and an inductance of 220 mH. An 80-? resistor and a capacitor whose reactance is 160 ? are also in the circuit, and the rms current in the circuit is 2.2 A. What is the voltage amplitude across the capacitor?

a)210 V

b)770 V

c)500 V

d)630 V

e)350 V

Explanation / Answer

Voltage amplitude across capacitor,

Vpeak = IpeakXC = Irms * 21/2 * XC = 2.2 * 21/2 * 160 = 500 V

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