A choke coil is connected to an AC source. Some power is dissipated in coil. Now a capacitor is connected in series with the coil and source is same, then average power dissipated in the circuit does not changes. If ratio of inductive reactance of coil and capacitive reactance of capacitor is` 1/x` then find x

Answer

2

Explanation

`z_(1)=z_(2)`
`R^(2)+omega^(2)L^(2)=R^(2)+(omegaL-(1)/(omegac))^(2)`
`impliesomegaL=|omegaL-(1)/(omegac)|implies(1)/(omegac)=2omegaLimplies(1)/(2)=(omegaL)/(1//omegac)`