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

A series LCR circuit with R=20`Omega` , L=1.5 H and C=35`muF` 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 transferred to the circuit in one complete cycle?

Text Solution

Verified by Experts

When the frequency of the supply equals the natural frequency of the circuit, resonance occurs.
`therefore Z=R=20ohm`
`" "i_(rms)=E_(rms)/Z=200/20=10A`
Average power transferred/cycle
`P=E_(rms)i_(rms)cos0^(@)=200 times 10 times 1=2000` watt
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