The series RLC circuit shown above is known to have rms voltages across the indu

Question

The series RLC circuit shown above is known to have rms voltages across the inductor and capacitor of VL = 80 V and VC = 20 V. The resistor has a resistance R = 150 ? and the rms voltage of the AC source is V = 120 V.What average power is supplied by the source of emf?

P =

The series RLC circuit shown above is known to have rms voltages across the inductor and capacitor of VL = 80 V and VC = 20 V. The resistor has a resistance R = 150 ? and the rms voltage of the AC source is V = 120 V.What average power is supplied by the source of emf? P =

Explanation / Answer

(Vrms)2 = (VRrms)2 + (VLrms - VCrms)2

=>VRrms^2=Vrms^2-(VLrms - VCrms)2

VRrms^2=14400-3600

Vrrms=103.92 V

Irms=103.92/150

=0.692 A

Pr=Irms^2xR

0.692^2x150

=72 Watt Ans

Thanks

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