A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Ω, L = 25.48 mH, and C = 796 µF

Q. A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3 Ω, L = 25.48 mH, and C = 796 µF, then the power dissipated at the resonant condition will be-

(i)39.70 kW
(ii) 26.70 kW
(iii)13.35 kW
(iv)Zero

Answer: (iii)13.35 kW

V_o = 283 V, f = 50 Hz

R = 3 Ω, L = 25.48 mH

C = 796 µ F

P |at resonance = ?

Power dissipated P = I² R

= 66.7 A
P = I² R
= (66.7)² 3
= 13.35 kW