Three resistance `P, Q, R` each of `2 Omega` and an unknown resistance `S` from the four amrs of a Wheatstone's bridge circuit. When a resistance of `6 Omega` is connected in parallel to `S` the bridge gets balanced. What is the value of `S` ?

Options

A. `1 Omega `
B. `2 Omega `
C. `3 Omega `
D. `6 Omega `

Answer

C

Explanation

for balanced wheatstone bridge circuit
`(2)/(2)=(2)/(((6S)/(S+6)))implies S+6=3S implies S=3 Omega `