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In an electrical circuit R,L,C and an AC...

In an electrical circuit `R,L,C` and an `AC` voltage source are all connected in series. When `L` is removed from the circuit, the phase difference between the voltage and the current in the circuit is `pi//3`. If instead, `C` is removed from the circuit, difference the phase difference is again `pi//3`. The power factor of the circuit is

A

`1//2`

B

`1//sqrt(2)`

C

1

D

`sqrt(3)//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Here, phase difference,
`tanphi = (X_(L)-X_(C))/R`
`tan pi/3 = (X_(L)-X_(C))/R`
When L is removed, `sqrt(3) = X_(C)/R rArr X_(C) = sqrt(3)R`
When C is removed, `tanpi/3 = sqrt(3) = X_(L)/R`
`X_(L) = Rsqrt(3)`
Hence, in resonant
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