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An inductance of 1 mH a condenser of 10 ...

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

A

`100 Omega `

B

`30 Omega`

C

`3.2 Omega`

D

`10 Omega `

Text Solution

Verified by Experts

The correct Answer is:
D
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 `
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