1.

What is the value of inductance `L` for which the current is a maximum in series `LCR` circuit with `C=10 muF` and `omega=1000(rad)/s`?A. `100 mH`B. `80 mH`C. `50 mH`D. `40 mH`

Answer» Correct Answer - A
When the current is maximum in a series L-C-R a.c. circuit, the impedance is minimum.
This happens at resonance where `X_(L)=X_(C)`
i.e. `omega L =1/(omegaC) or L = 1/(omega^(2)C)`
`C = 10 xx 10^(-6)F and omega = 1000 per sec`
`:. L = 1/(10^(3)xx10^(3)xx10 xx 10^(-6)) = 0.1 H = 100 mH`.


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