Question

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 ______.

विकल्प

• 39.70 kW

• 26.70 kW

• 13.35 kW

• Zero

Answer 1

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 13.35 kW.

Explanation:

V_o = 283 V, f = 50 Hz

R = 3 Ω, L = 25.48 mH

C = 796 µF

`P | _"at resonance" = ?`

Power dissipated P = I² R

I = `"I"_0/sqrt2 = 1/sqrt2 (283/3)`

= 66.7 A

P = I² R

= (66.7)² 3

= 13.35 kW