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A potentiometer circuit is shown in Figu...

A potentiometer circuit is shown in Figure 3 below. AB is a uniform metallic wire having length of 2m and resistance of `8Omega`. The batteries `E_(1) and E_(2)` have emfs of 4V and 1.5V and their internal resistances are `1Omega and 2Omega` respectively.

Now the jockey J is made to touch the wire AB at a point C such that the galvanometer (G) shows no deflection. Calculate the length AC.

Text Solution

Verified by Experts

Potential gradient in AB, `k= (V_(AB))/(L)= (2)/(2)= 1Vm^(-1)`
Let AC= l metre
`therefore` e= kl
`rArr 1.5 = 1 xx l`
`rArr l= 1.5m`
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