In a potentiometer wire experiment the $\mathrm{emf}$ of a battery in the primary circuit is $20\,V$ and its internal resistance is $5\,\Omega$ . There is a resistance box in series with the battery and the potentiometer wire, whose resistance can be varied from $120\,\Omega$ to $170\,\Omega$ . Resistance of the potentiometer wire is $75\,\Omega$ . The following potential differences can be measured using this potentiometer.
Diffcult
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For $R=120 \Omega$

Potential across potentiometers

$\Delta V_{P}=\frac{75(20)}{75+5+120}=\frac{75(20)}{200}=7.5 \mathrm{V}$

For $V<\Delta V_{P}$

$V$ can be measured

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