Potentiometer wire of length 1 m is connected in series with 490 Ωresistance and 2 v battery If

step 1 In this question, we have E is equal to given 2 volt EMF, internal resistance R is equal to 0, R

Potentiometer wire of length 1 m is connected in series...

Potentiometer wire of length $1 \mathrm{~m}$ is connected in series with $490 \Omega$ resistance and $2 \mathrm{v}$ battery If $0.2 \mathrm{mv} / \mathrm{cm}$ is the potential gradient, then resistance of the potentiometer wire is. (A) $4.9 \Omega$ (B) $7.9 \Omega$ (C) $5.9 \Omega$ (D) $6.9 \Omega$

Potentiometer wire of length $1 \mathrm{~m}$ is connected in series with $490 \Omega$ resistance and $2 \mathrm{v}$ battery If $0.2 \mathrm{mv} / \mathrm{cm}$ is the potential gradient, then resistance of the potentiometer wire is.
(A) $4.9 \Omega$
(B) $7.9 \Omega$
(C) $5.9 \Omega$
(D) $6.9 \Omega$

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Key Concepts

Series Circuit

A series circuit is one in which components are connected end-to-end so that the same current passes through each component. This configuration is important when analyzing circuits involving resistors and potentiometer wires, as it allows the overall resistance to be determined by summing the individual resistances.

Ohm's Law

Ohm's Law is a fundamental principle in electrical circuits that establishes the relationship between voltage, current, and resistance through the formula V = IR. This law is essential for analyzing circuits, calculating voltage drops, and determining resistances in various configurations.

Potentiometer

A potentiometer is an instrument used to measure the potential difference (voltage) by comparing it with a standard reference voltage distributed along a uniform resistive wire. It allows precise measurement of small voltage differences without drawing current from the circuit whose voltage is being measured.

Potential Gradient

The potential gradient is the rate at which voltage changes with respect to distance along a conductor. In the context of a potentiometer, a uniform potential gradient implies that the voltage drop per unit length is constant, which is critical for accurate voltage determinations or resistance measurements.

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