An inductor 20 mH, a capacitor 100 F and a resistor 50Ω are connected in series across a source of emf, V = 10 sin (314 t).

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An inductor 20 mH, a capacitor 100 F and a resistor 50Ω are connected in series across a source of emf, V = 10 sin (314 t). The power loss in the circuit is?

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Power loss in the LCR circuit is given by,

P=IrmsVrmscos

⇒ P=Vrms2RZ2 (Irms=VrmsZ, cos=RZ, Z=R2+L-1C2 )

P =Vrms2RR2+(L-1/C)2 = (10/2)2 503153.82=50004460.175=1.13 W

Hence, option C is correct, i.e. 1.13 W

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