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A series AC circuit containing an induct...

A series AC circuit containing an inductor `(20 mH),` a capacitor (120 `mu F`) and a resistor (`60 Omega`) is driven by an Ac source of 24 V/50Hz. The energy dissipated in the circuit in 60 s is :

A

`3.39 xx10^3J`

B

`5.65 xx10^2J`

C

`5.17 xx10^2J`

D

`2.26 xx10^3J`

Text Solution

Verified by Experts

The correct Answer is:
C
`omega=2pif -100 pi`
`X_L = omegaL = 6.28 Omega`
`X_C = 1/(omegaC)=250/(3pi)`
`X=X_C - X_L =20.25`
`Z = sqrt(R^2+X^2)`
`I_(rms)= V_(rms)//Z`
Energy dissipated `=i_(rms)^2 xx R xx T = 5.17 xx10^2 J`
`t = 60 sec = 300 0 T , (T =1/f = 0.02 s)`
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