1.

An `L-C-R` series circuit with `100Omega` resistance is connected to an `AC` source of `200V` and angular frequency `300rad//s`. When only the capacitance is removed, the current lags behind the voltage by `60^@`. When only the inductance is removed the current leads the voltage by `60^@`. Calculate the current and the power dissipated in the `L-C-R` circuit

Answer» Correct Answer - `2A, 400W`
From given condition circuit is at resonance
`tanphi=X_(L)/R implies sqrt(3)=X_(L)/R`
`X_(L)=sqrt(3)R implies X_(L)=X_(C )=sqrt(3)R`
`I_(rms)=V_(rms)/R=200/100=2 Amp`
`P=I^(2)R=4xx100=400 Watt`


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