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Question

An LCR series circuit with a resistance of 100 ohm is connected to an ac source of 100 V (r.m.s.) and angular frequency 300 rad/s. When only the capacitor is removed, the current lags behind the voltage by . When only the inductor is removed the current leads the voltage by . The average power dissipated is

A
50 W
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B
100 W
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C
200 W
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D
400 W
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Solution

The correct option is B 100 W

tanϕ=XLR=XCR tan60=XLR=XCR
XL=Xc=3R
i.e. Z =R2+(XLXc)2=R
So average power P=V2R=100× 100100=100 W


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