The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 Ω is connected in parallel to the cell, the balancing length changes by 60 cm. If the internal resistance of the cell is N10Ω, where N is an integer then value of N is _____.

# The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 $\mathrm{\Omega }$ is connected in parallel to the cell, the balancing length changes by 60 cm. If the internal resistance of the cell is $\frac{\mathrm{N}}{10}\mathrm{\Omega }$, where N is an integer then value of N is _____.

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### Solution:

$560-{l}_{2}=60$

$\mathrm{r}=\left(\frac{{\mathrm{\ell }}_{1}-{\mathrm{\ell }}_{2}}{{\mathrm{\ell }}_{2}}\right)\mathrm{R}$

$⇒r=10×\frac{60}{500}=\frac{6}{5}=\frac{12}{10}\Omega$

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