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The power factor of the circuit in fig. ...

The power factor of the circuit in fig. is `1//sqrt(2)`. The capacitance of the circuit is equal to

A

`400 muF`

B

`300 muF`

C

`500 muF`

D

`200 muF`

Text Solution

Verified by Experts

The correct Answer is:
C
Given that `X_(L)=omegaL=100xx0.1=10omega`
and `cosphi=1/sqrt(2) implies phi=pi/4`
`tan (pi)/4=x/R implies X=R`
either `X_(L)-X_(C )=R or X_(C )-X_(L)=R`
For `X_(L)-X_(C )=R implies X_(C )=0`
For `X_(C )-X_(L)= Rimplies X_(C )=20 implies1/(100C)=20`
`C=10^(6)/2000muF=500muF`
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