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Two circuits are shown in the figure (a)...

Two circuits are shown in the figure (a) & (b). At a frequency of _______ rad/s the average power dissipated in one cycle will be same in both the circuits.

Text Solution

Verified by Experts

The correct Answer is:
500
For figure (A)
`P_(avg)=(v_(rms)^2)/R`
`(v_(rms)^2)/(Z^2) xxR =(v_(rms)^2)/Rxx1`
`R^2 =Z^2`
`25=(sqrt((X_C-X_L)^2+5^(2)))^2`
`25=(X_C-X_L)^2+25`
`X_C=X_Limplies1/(omegaC)=omegaL`
`omega^2=1/(LC)=10^6/(0.1xx40)implies omega=500`
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