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A potentiometer wire AB having length L ...

A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf `epsi//2` and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in fig. Shows no deflection is :

A

`13/24`L

B

`11/12`L

C

`11/24`L

D

`5/12`L

Text Solution

Verified by Experts

The correct Answer is:
A
`i=(epsilon)/(13r)`
`(epsilon)/2=epsilon-iR_(x)=epsilon-(epsilon)/(13r)xx(x/Lxx12r)`
`1/2=12/13x/LrArrx=13/24L`
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