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Power factor of an L-R series circuit is...

Power factor of an L-R series circuit is 0.6 and that of a C-R series circuit is 0.5. If the element (L. C, and R) of the two circuits are joined in series the power factor of this circuit is found to be 1. The ratio of the resistance in the L-R circuit to the resistance in the C-R circuit is

A

`6//5`

B

`5//6`

C

`4/(3sqrt(3))`

D

`(3sqrt(3))/4`

Text Solution

Verified by Experts

The correct Answer is:
D
`cosphi_(1)=0.6=3/5`
`tanphi_(1)=4/3=X_(C )/R_(2) …(1)`
`cosphi_(1)=0.5=1/2`
`tanphi_(2)=sqrt(3)=X_(C )/R_(2) …(2)`
From `(1)` and `(2) (3sqrt(3))/4=R_(1)/R_(2)`
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