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

A series L-C-R circuit contains inductance 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

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

C

`2/3 xx 10^(5)` Hz

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
We know that,
Resonant frequency is given by
`f_(0) = 1/(2pisqrt(LC)) = 1/(2pisqrt(5 xx 10^(-3) xx 2 xx 10^(-6)))`
where, L`=5 xx 10^(-3)` H and `C= 2 xx 10^(-6)`F
`rArr f_(0) = 1/(2pisqrt(10^(-8))) = 1/(2pixx 10^(-4))`
`=10^(4)/(2pi)` Hz = `5/pi xx 10^(3)`
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