An inductor of reactance 100Ω , a capacitor of reactance 50Ω , and a resistor of resistance 50Ω are connected in series with an AC source of 10 V , 50 Hz. Average power dissipated by the circuit is __

Question

An inductor of reactance 100Ω , a capacitor of reactance 50Ω , and a resistor of resistance 50Ω are connected in series with an AC source of 10 V , 50 Hz. Average power dissipated by the circuit is ________ W.

TestHub · Accepted Answer

​ P = V rms ​ I rms ​ cos ϕ P = V rms ​ × z V rms ​ ​ × z R ​ P = V rms 2 ​ × z 2 R ​ z = R 2 + ( x L ​ − x C ​ ) 2 ​ Z = 50 2 ​ Ω P = 100 × 2500 × 2 50 ​ = 1 W ​

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