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  4. A potentiometer wire of length 10 m and resistance 20 Ω is connected in series with a 25 V battery and an external resistance 30 Ω. A cell of emf E in secondary circuit is balanced by 250 cm long potentiometer wire. The value of E (in volt) is (x/10). The value of x is .

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Q. A potentiometer wire of length $10\, m$ and resistance $20\, \Omega$ is connected in series with a $25\, V$ battery and an external resistance $30\, \Omega$. A cell of emf $E$ in secondary circuit is balanced by $250\, cm$ long potentiometer wire. The value of $E$ (in volt) is $\frac{x}{10}$. The value of $x$ is ______.

JEE MainJEE Main 2022Current Electricity

Solution:

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$I =\frac{25}{50}=\frac{1}{2} A$
$\therefore \Delta V =10 \, V$
$10 \, m \rightarrow 10\, V$
$2.5\, m \rightarrow 2.5\, V$