1.

An inductor `20xx10^(-3)` a capacitor `100(mu)F` and a resistor `50 Omega` are connected in series across a source of emf `V=10 sin 314 t`. If resistance is removed from the circuit and the value of inductance is doubled, the variation of current with time in the new circuit is

Answer» Correct Answer - `951.52 J;0.52 cos 314 t`
Given that
`L=20xx10^(-3) H`
`C=100xx10^(-6) F`
`R=50 Omega , omega=314`
`V=10 sin 314 t , Deltat=20xx60` second
(i)`DeltaH=I_(rms)^(2)R(Deltat)=(V_(0)/(sqrt2 Z))^(2) RxxDeltat`
here `z=sqrt(R^(2)+(omegaL-1/(omegac))^(2))=sqrt((50)^(2)+(6.28-31.8)^(2))=56.15 Omega`
(ii)`I=I_(0)sin (314t+pi//2)` where `I_(0)=V_(0)/((omega(2L)-1/(omegac)))`


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