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A series L-C-R circuit contains inductan...

A series L-C-R circuit contains inductancle 5 mH, capacitor `2muF` and resistance `10 Omega`. If a frequency AC source is varied, then what is the frequency at which maximum power is dissipated?

A

`(10^(-5))/(pi) Hz`

B

`5/(pi) xx 10^(3) Hz`

C

`2/(pi) xx 10^(5) Hz`

D

`(10^5)/(pi) Hz`

Text Solution

Verified by Experts

The correct Answer is:
B
Maximum power is dissipated at resonance.
`L = 5mH and C = 2 mu F`
The resonant frequecy.
`f_(R) = 1/(2 pi sqrt(LC))`
`=(1)/(2pisqrt(5 xx 10^(-3) xx 2 xx 10^(-6)))`
`=(1)/(2pisqrt(10^(-8))) = 1/( 2 pi xx 10^(-4))`
`=:. F_(R) = (10 xx 10^(3))/(2 pi) = (5 xx 10^(3))/(pi)Hz`.
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