A potentiometer circuit has been set up for finding the internal resistance of a given cell.
The main battery, used across the potentiometer wire, has an emf of $2.0\, V$ and a negligible internal resistance. The potentiometer wire itself is $4\, m$ long. When the resistance $R$, connected across the given cell, has values of
(i) infinity
(ii) $9.5\, \Omega $
the balancing lengths on the potentiometer wire are found to be $3 \,m$ and $2.85\, m$, respectively. The value of internal resistance of the cell is