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Question

An AC circuit containing 80 mH inductor and a 60μF capacitor is in series with 15Ω resistance. They are connected to 230V,50Hz AC supply. What is the total average power absorbed by the circuit?

A
zero
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B
5 watt
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C
40watt
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D
10 watt
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Solution

The correct option is A zero
No correct option.

Given, Inductance,L=80mH=80×103H,Capacitance,C=60μf=60×106F

Supply voltage, v=230,Frequency=50Hz,

Angular velocity ω=2πv=100πrad/s

Peak voltage v2=2302v

Since the average power consumed by the inductor, is zero, as the actual voltage leads the current by π2

And the average voltage consumed by the capacitor is zero, as voltage lags current by π2

Thus the total power supplied (average over one cycle)is zero.

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