An inductance of 1 mH a condenser of `10 mu F` and a resistance of `50 Omega` are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be

Options

A. `100 Omega `
B. `30 Omega`
C. `3.2 Omega`
D. `10 Omega `

Answer

D

Explanation

At resonance, `X_(L) = X_(C) rArr omega L = (1)/( omegaC) rArr omega = (1)/( sqrt(LC))`
`:. omega = (1)/( sqrt(10^(-3) xx 10 xx 10^(-6))) = 10^(4) ` rad / sec
`:. X_(L) = X_(C) = omega L = 10^(4) xx 10^(-3) = 10 Omega `