In series LCR circuit `R = 18 Omega` and impedence is `33 Omega`. An Vrms voltage `220 V` is applied across the circuit . The true power consumed in AC circuit is

Options

A. 220 W
B. 400 W
C. 600 W
D. 800 W

Answer

D

Explanation

Power consumed in a circuit
`P = e_(rms) xx I_(rms) xx cos phi`
`= e_(rms) xx (e_(rms))/(Z) xx R/Z`
`= 220 xx 220/33 xx 18/33`
`= (20 xx 20 xx 18)/(3 xx 3) =800 W` .....Option (d)