1.

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

Answer»

`sqrt(LC)`
`1/sqrt(LC)`
`sqrt(L/C)`
`1/sqrt(LC)`

Solution :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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