1.

An inductance of 1 mH, a condenser of 10 muF and a resistance of 50 Omega are connected in series. The reactances of inductors and condensers are same. What will be the reactance of either of them ?

Answer»

`5 Omega`
`3 Omega`
`7OMEGA`
`10 Omega`

Solution :Here L=1mH = `1xx10^(-3)` H
`C=10 muF =10xx10^(-6)`F
`R=50 Omega "" THEREFORE=10^4` rad/s
`X_L=X_C` and `X_L=omegaL`
`=10^4 XX 1xx10^(-3)`
`omegaL=1/(omegaC)`
`therefore X_L=10Omega`
`therefore omega^2=1/(LC) "" X_C=1/(OmegaC)`
`=1/(1xx10^(-3)xx10xx10^(-6)) "" 1/(10^4xx10xx10^(-6))`
`=10^8`
`therefore X_C=10 Omega`


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