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Q. In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across $0.52\, m$ of the potentiometer wire. If the cell is shunted by a resistance of $5\, \Omega$, balance is obtained when the cell is connected across $0.4 \,m$ of the wire. Find the internal resistance of the cell.

Current Electricity

Solution:

$r=R\left[\frac{l_{1}}{l_{2}}-1\right]$
$=5\left[\frac{0.52}{0.4}-1\right]$
$=5[1.3-1]=1.5\, \Omega$