1.

In the figure shows R=100Omega, L=2/(pi)H and C=8/(pi) muF are connected in series with an a.c. source of 200 volt and frequency f. V_(1) and V_(2) are two hot-wire voltmeters. If the reading of V_(1) and V_(2) are same, then

Answer»

`f=125Hz`
`f=250 piHz`
Current through `R` is `2A`
`V_(1)=V_(2)=1000` volt

Solution :`V_(1)=V_(2)impliesx_(L)=x_(C)`
`impliesf=1/(2pisqrt(LC))=125Hz`
`I_(0)=(v_(0))/R=200/100 ( :' x=0, :.z=R)`
`V_(1)=V_(2)=IX_(L)=I.(OMEGAL)=IL . 1/(sqrt(LC))=Isqrt(L/C)=2sqrt(((2//pi))/((8xx10^(-6)//pi)))=1000` volt


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