1.

For an LCR series circuit with an aac source of angular frequency `omega`.A. circular will be capacitive if `omegagt(1)/(sqrt(LC))`B. circular will be inductive if `omega=(1)/(sqrt(LC))`C. Power factor of circuit will be unity if capacitive reactance equals inductive reactanceD. circular will be leading voltage if `omegagt(1)/(sqrt(LC))`

Answer» Correct Answer - C
The circuit will have inductive nature if
`omega gt (1)/(sqrt(LC))(omega L gt(1)/(sqrt(LC)))`
Hence, (a) is false. Also if circuit has inductive nature, The current will lag behind voltage, Hence (d) is also false.
If `omega =(1)/(sqrt(LC)) (omegaL=(1)/(omega C))`, the circuit will have resistance nature, Hence (b) is false.
Power factor, `cos (phi) = (R )/(sqrt(R^(2)+ (omegaL=(1)/(omega C))^(2))=1`
If `omega L =(1)/(omega C). Hence (c) is true.


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