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 60^o . When only the inductor is removed the current leads the voltage by 60^o . The average power dissipated is

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Infinity Learn · Accepted Answer

$$tan$$⁡ϕ$$=XLR=XCR$$⇒$$tan$$⁡$$60$$∘$$=XLR=XCR$$⇒$$XL=XC=3R$$  i.e. $$Z=R2+XL$$−$$XC2=R$$  So average power $$P=V2R=200$$×$$200100=400W$$,

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