(A) In a potentiometer,the emf $E$ of a cell is directly proportional to the balancing length $\ell$,i.e.,$E \propto \ell$ or $E = k\ell$,where $k$ is

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(A) In a potentiometer,the emf $E$ of a cell is directly proportional to the balancing length $\ell$,i.e.,$E \propto \ell$ or $E = k\ell$,where $k$ is the potential gradient.For the first battery,$E_1 = 1.6 \ V$ and $\ell_1 = 400 \ mm$.For the second battery,$E_2 = ?$ and $\ell_2 = 650 \ mm$.Using the relation $\frac{E_2}{E_1} = \frac{\ell_2}{\ell_1}$,we get:$\frac{E_2}{1.6} = \frac{650}{400}$$E_2 = 1.6 \times \frac{650}{400}$$E_2 = 1.6 \times 1.625$$E_2 = 2.6 \ V$.

Class 12 Physics Current Electricity Potentiometer

Medium

In a potentiometer (see figure) a balance is obtained at a length of $400 \ mm$ when using a known battery of emf $1.6 \ V$. After removing this battery,another battery of unknown emf is used and balance is obtained at a length of $650 \ mm.$ The emf of the unknown battery is ............. $V$. (in $V$)

A
$2.6$
B
$1.6$
C
$3.4$
D
$4.7$

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Class 12

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Current Electricity

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Potentiometer

$A$ potentiometer is used to measure the potential difference between $A$ and $B$,and the null point is obtained at $0.9 \ m$. Now,the potential difference between $A$ and $C$ is measured,and the null point is obtained at $0.3 \ m$. Find the ratio $\frac{E_{2}}{E_{1}}$,given that $E_{1} > E_{2}$.

MediumMHT CET 2020

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The $e.m.f.$ of a standard cell balances across $150 \ cm$ length of a potentiometer wire. When a resistance of $2 \ \Omega$ is connected as a shunt across the cell,the balance point is obtained at $100 \ cm$. The internal resistance of the cell is .............. $\Omega$.

Easy

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In a potentiometer experiment for the determination of the internal resistance of a cell,when an external resistance of $R$ is connected in parallel to the cell,the balancing length decreases by $10 \%$. The internal resistance of the cell is

MediumTS EAMCET 2025

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The length of a potentiometer wire is $L$. $A$ cell of e.m.f. $E$ is balanced at a length $\frac{L}{5}$ from the positive end of the wire. If the length of the wire is increased by $\frac{L}{2}$,at what distance will the same cell give a balance point?

MediumMHT CET 2020

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For comparing the $e.m.f.$'s of two cells with a potentiometer,a standard cell is used to develop a potential gradient along the wires. Which of the following possibilities would make the experiment unsuccessful?

Easy

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$A$ potentiometer is used to measure the potential difference between $A$ and $B$,and the null point is obtained at $0.9 \ m$. Now,the potential difference between $A$ and $C$ is measured,and the null point is obtained at $0.3 \ m$. Find the ratio $\frac{E_{2}}{E_{1}}$,given that $E_{1} > E_{2}$.

The $e.m.f.$ of a standard cell balances across $150 \ cm$ length of a potentiometer wire. When a resistance of $2 \ \Omega$ is connected as a shunt across the cell,the balance point is obtained at $100 \ cm$. The internal resistance of the cell is .............. $\Omega$.

In a potentiometer experiment for the determination of the internal resistance of a cell,when an external resistance of $R$ is connected in parallel to the cell,the balancing length decreases by $10 \%$. The internal resistance of the cell is

The length of a potentiometer wire is $L$. $A$ cell of e.m.f. $E$ is balanced at a length $\frac{L}{5}$ from the positive end of the wire. If the length of the wire is increased by $\frac{L}{2}$,at what distance will the same cell give a balance point?

For comparing the $e.m.f.$'s of two cells with a potentiometer,a standard cell is used to develop a potential gradient along the wires. Which of the following possibilities would make the experiment unsuccessful?

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