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In the circuit shown here, what is the v...

In the circuit shown here, what is the value of the unknown resistor R so that the total resistance of the circuit between points P and Q is also equal to R

A

`3Omega`

B

`sqrt(39)Omega`

C

`sqrt(69)Omega`

D

`10Omega`

Text Solution

Verified by Experts

The correct Answer is:
3
`((R+3).10)/((R+3)+10)+3=R` (given)
solve it `(10R+30)=(R-3)(R+13)`
`10R+30=R^(2)-39+ 10R` or `R=sqrt(69)Omega`
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