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A 2000 Hz, 20 volt source is connected t...

A 2000 Hz, 20 volt source is connected to a resistance of 20 ohm, an inductance of `0.125//pi` H and a capacitance of `500/pi` nF all in series. Calculate the time (in seconds) in which the resistance `("thermal capacity"=100 "joule"/.^(@)C)` will get heated by `10^(@)C`. (Assume no loss of heat)

Text Solution

Verified by Experts

The correct Answer is:
50
power`(P)=I_(rms)^(2)R , P=[20/sqrt(R^(2)+(omegaL-1/(omegaC))^(2))]^(2)xxR`
where `omega=2xxpixx2000`
`DeltaH=(ms)Deltatheta=P(Deltat) rArrDeltat=((ms)Deltatheta)/P=(100xx10)/P=50 sec. rArrx=8`
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