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A series LCR circuit with r = 10 ohm, L ...

A series LCR circuit with `r = 10 ohm, L = 2 H` and `C = 25 mu F` is connected to a varialbe frequency 200 V a.c. 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

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Here, `R = 10 ohm, L = 2 H, C = 25 mu F`
`E_(v) = 200 V`.
When the frequency of the supply equals the natural frequency of the circuit,
`X_(L) = X_(C )` and `Z =R`
`I_(v) = (E_(v))/(R ) = (200)/(10) 20 A`.
Average power transferred/cycle `= E_(v) I_(v) = 200 xx 20 = 4000` watt
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