In the Wheatstone bridge network ABCD is balanced when `P = 500 Omega, Q = 250 Omega` and `S = 12 Omega`, what is the value of R ?

Options

A. `2 Omega`
B. `4 Omega`
C. `8 Omega`
D. `6 Omega`

Answer

D

Explanation

Given, `P = 500 Omega, Q = 250 Omega`
and `S = 12 Omega`
R = unknown resistance
By balanced condition of Wheatstone bridge, we know
`(P)/(Q)=(S)/(R )`
Putting the values, `R = (Q xx S)/(P)=(250xx12)/(500)=6 Omega`
`therefore` Value of unknown resistance, `R = 6 Omega`