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In the figure shown R = 100 Omega, L = ...

In the figure shown `R = 100 Omega,` `L = (2)/(pi) H` and `C = (8)/(pi) mu F` are connected in series with a.c source of 200 volt and frequency `'f'`. `V_(1)` and `V_(2)` are two hot-wire voltmeters. If the readings of `V_(1)` and `V_(2)` are same then:

A

`f=125Hz`

B

`f=250 piHz`

C

Current through `R` is `2A`

D

`V_(1)=V_(2)=1000` volt

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`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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