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What is the value of inductance L for wh...

What is the value of inductance L for which the current is maximum in a series LCR circuit with `C=10 mu F` and `omega =1000 s^(-1)` ?

A

1 mH

B

cannot be calculated unless R is known

C

10 mH

D

100 mH

Text Solution

Verified by Experts

The correct Answer is:
D
In series LCR, current is maximum at resonance.
`therefore` Resonant frequency `omega = (1)/(sqrt(LC))`
`therefore omega^(2)=(1)/(LC)` or, `L=(1)/(omega^(2)C)`
Given `omega = 1000 s^(-1)` and `C=10 mu F`
`therefore L=(1)/(1000xx1000xx10xx10^(-6))=0.1 H=100 mH`.
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