1.

A resistance of 300 Omega is connected in series with inductor of self-inductance 1 H and capacitor of capacitance 20 mF. This combination is connected to an AC source whose angular frequency is 100 rad/s. Impedance of the circuit is

Answer»

200 `OMEGA`.
400 `Omega`.
500 `Omega`.
750 `Omega`.

SOLUTION :(c) R= `300 Omega`
`X_(L) = omegaL = 100 X 1 =100 Omega`
`X_(C) = (1)/(omegaC) = (1)/(100xx20xx10^(-6)) Omega = 500 Omega`
Net impedance of the circuit can be written as follows :
= `sqrt(R^(2)+(X_C-X_(L))^(2))`
`implies Z = sqrt(300^(2)+ (500-100)^(2)Omega)`
Hence option ( c) is CORRECT.


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