1.

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)` HzB. `(10^(5))/(pi)`HzC. `2/3 xx 10^(5)` HzD. `5/pi xx 10^(3)` Hz

Answer» Correct Answer - 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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