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A potentiometer circuit is shown in Figu...

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

When the jockey J does not touch the wire AB, calculate :
(a) the current flowing through the potentiometer wire AB.
(b) the potential gradient across the wire AB.

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