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Figure shows a potentiometer arrangemete...

Figure shows a potentiometer arrangemeter with `R_(AB)=10 Omega` and rheostat of variable resistance d. For `x=0` null deflection point is found at `20 cm` from `A`. For unknown value of `x` null deflection point was at `30 cm` from `A`, then the value of x is

A

`10Omega`

B

`5Omega`

C

`2Omega`

D

`1Omega`

Text Solution

Verified by Experts

The correct Answer is:
B
`E_0=V_(AC)=(i)_(AC)(R)_(AC)`
`=(E/10)(10/1xx0.2)`
`=E/5`
In second case,
`E_0=((E)/(10+x)) ((10)/1xx0.3)`……….ii
Solving eqn i and ii we get
`x=5Omega`
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