In the given figure, battery E is balanced on ⊃0 cm length of potentiometer wire but when a res

step 1 In this question we have in the given figure and a potentiometer so this is wire length of poten

In the given figure, battery E is balanced on ⊃0 cm length...

In the given figure, battery $E$ is balanced on $\supset 0 \mathrm{~cm}$ length of potentiometer wire but when a resistance of $10 \Omega$ is connected in parallel with the battery then it balances on $50 \mathrm{~cm}$ length of the potentiometer wire then internal resistance r of the battery is. (A) $1 \Omega$ (B) $3 \Omega$ (C) $10 \Omega$ (D) $5 \Omega$

In the given figure, battery $E$ is balanced on $\supset 0 \mathrm{~cm}$ length of potentiometer wire but when a resistance of $10 \Omega$ is connected in parallel with the battery then it balances on $50 \mathrm{~cm}$ length of the potentiometer wire then internal resistance r of the battery is.
(A) $1 \Omega$
(B) $3 \Omega$
(C) $10 \Omega$
(D) $5 \Omega$

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Key Concepts

Potentiometer

A potentiometer is an instrument used to measure the electromotive force (EMF) of a battery without drawing significant current. It works on the principle that the potential drop along a uniform wire is directly proportional to its length. By adjusting a sliding contact along the wire until there is no current flowing in the measurement circuit, one can accurately compare the unknown EMF to a known voltage drop.

Internal Resistance

The internal resistance of a battery is the inherent resistance within the battery that causes a voltage drop when current flows through it. This resistance causes the terminal voltage (the voltage measured across the battery’s terminals) to be lower than the open-circuit EMF when a load is connected. The degree of this drop can be used to determine the value of the internal resistance.

Terminal Voltage

Terminal voltage is the voltage available at the battery’s output when it is connected to an external load. It is reduced from the battery's EMF by the voltage drop across its internal resistance. By comparing the terminal voltage under load with the no-load electromotive force, one can calculate the internal resistance of the battery.

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