(B) Given: Resistance of wire,$R_1 = 40 \ \Omega$,length of wire,$l = 10 \ m$,$EMF$ of cell,$E = 2 \ V$.Potential gradient,$K = 0.1 \ mV/cm = 0.1 \tim

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(B) Given: Resistance of wire,$R_1 = 40 \ \Omega$,length of wire,$l = 10 \ m$,$EMF$ of cell,$E = 2 \ V$.Potential gradient,$K = 0.1 \ mV/cm = 0.1 \times 10^{-3} \ V / 10^{-2} \ m = 0.01 \ V/m$.The potential drop across the wire of length $l$ is $V_1 = K \times l = 0.01 \ V/m \times 10 \ m = 0.1 \ V$.Using the voltage divider rule for a series circuit,the potential drop across the wire is given by $V_1 = E \times \frac{R_1}{R_1 + R}$.Substituting the values: $0.1 = 2 \times \frac{40}{40 + R}$.$0.1(40 + R) = 80$.$4 + 0.1R = 80$.$0.1R = 76$.$R = 760 \ \Omega$.

Class 12 Physics Current Electricity Potentiometer

$A$ wire,$10 \ m$ long,has a resistance of $40 \ \Omega$. It is connected in series with a resistance box of resistance $R$ and a $2 \ V$ storage cell. If the potential gradient along the wire is $0.1 \ mV/cm$,then the value of $R$ is (in $\Omega$)

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$260$
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$760$
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$960$
D
$1060$

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$A$ wire,$10 \ m$ long,has a resistance of $40 \ \Omega$. It is connected in series with a resistance box of resistance $R$ and a $2 \ V$ storage cell. If the potential gradient along the wire is $0.1 \ mV/cm$,then the value of $R$ is (in $\Omega$)

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$A$ potentiometer wire of length $L$ and a resistance $r$ are connected in series with a battery of e.m.f. $E_0$ and a resistance $r_1$. An unknown e.m.f. $E$ is balanced at a length $l$ of the potentiometer wire. The e.m.f. $E$ will be given by

In a potentiometer experiment,the balancing length is $8 \ m$ when two cells $E_1$ and $E_2$ are joined in series. When two cells are connected in opposition,the balancing length is $4 \ m$. The ratio of the e.m.f. of the two cells $\left(\frac{E_1}{E_2}\right)$ is

$A$ voltmeter reads the potential difference across the terminals of an old battery as $1.2 \, V$,while a potentiometer reads $1.4 \, V$. The internal resistance of the battery is $40 \, \Omega$. What is the resistance of the voltmeter in $\Omega$?

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