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In the circuit shown in figure power fac...

In the circuit shown in figure power factor of box is `0.5` and power factor of circuit is `sqrt3/2` .Current leading the voltage. Find the effective resistance of the box.

A

`5Omega`

B

`10Omega`

C

`15Omega`

D

`20Omega`

Text Solution

Verified by Experts

The correct Answer is:
A
`(1)/(2)=(R )/(sqrt(R^(2)+X_(c).^(2)))`
`sqrt(3)/(2)=(R+10)/(sqrt((R+10)^(2)+X_(C)^(2)))`
Solving these two equation
`R=5Omega`
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