First slide

potentiometer

Question

In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of 2m when the cell is shunted by a $5 Ω$ resistance, and is at a length of 3m when the cell is shunted by a $10 Ω$ resistance. The internal resistance of the cell is

Moderate

A

$1.5 Ω$
B

$10 Ω$
C

$15 Ω$
D

$1 Ω$

Solution

$r = (\frac{l_{1} - l_{2}}{l_{2}}) \times R^{'} = (\frac{l_{1} - 2}{2}) \times 5$ …..(i)
$r = (\frac{l_{1} - 3}{3}) \times 10$ …(ii)
On solving (i) and (ii), $r = 10 Ω$

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