A series LCR circuit contains inductance 5 mH, capacitance `2 mu F` and resistance `10 Omega`. If a frequency A.C. source is varied, what is the frequency at which maximum power is dissipated ?

Options

A. `(10^(5))/(pi) Hz`
B. `(10^(-5))/(pi)Hz`
C. `(2)/(pi) xx 10^(5) pi Hz`
D. `(5)/(pi) xx 10^(3) Hz`

Answer

D

Explanation

`f_(0) = (1)/(2pi sqrt(LC)) = (1)/(2pisqrt(5 xx 10^(-3) xx 2 xx 10^(-6))) = (10^(-4))/(2pi) = (5 xx 10^(-3))/(pi) Hz`