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At which angular frequency of source, cu...

At which angular frequency of source, current in series LCR A.C. circuit would be maximum ?

A

`sqrt(LC)`

B

`1/sqrt(LC)`

C

`sqrt(L/C)`

D

`1/sqrt(LC)`

Text Solution

Verified by Experts

The correct Answer is:
B
For series LCR A.C. circuit, for current to become maximum at resonant frequency,
`|Z|=sqrt(R^2+(X_L-X_C)^2)`= minimum
`rArr X_L-X_C=0`
`rArr X_L=X_C`
Suppose above condition is satisfied at `omega=omega_0` then
`omega_0L=1/(omega_0C)`
`therefore omega_0^2=1/(LC)`
`therefore omega_0=1/sqrt(LC)`
Above is the expression of series resonant angular frequency .
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