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Q.

An LCR series circuit with a resistance of 100 ohm is connected to an AC source of 200 V (r.m.s.) and angular frequency 300 rad/s. When only the capacitor is removed, the current lags behind the voltage by 600. When only the inductor is removed the current leads the voltage by 600. The average power dissipated is

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a

50 W

b

100 W

c

200 W

d

400 W

answer is D.

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Detailed Solution

tanϕ=XLR=XCR⇒tan60∘=XLR=XCR⇒XL=XC=3R i.e., Z=R2+XL−XC2=RSo average power, P=V2R=200×200100=400 W
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