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A series LCR circuit with R = 20 Omega, ...

A series `LCR` circuit with `R = 20 Omega, L = 1.5 H` and `C = 35 mu F` is connected to a variable frequency `200 V` ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power in `kW` transferred to the circuit in one complete cycle?

A

200 W

B

2000 W

C

100 W

D

4000 W

Text Solution

Verified by Experts

The correct Answer is:
B
If the frequency of the ac equals thenatural frequency of the circuit, the impedance
`Z=R=20 Omega`
The average power dissipated per cycle,
`P_(av)=(V_("rms")^(2))/(Z)=(V_("rms")^(2))/(R )=((200)^(2))/(20)=2000 W`
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