Question

A thick wire of resistance 25ohm is drawn into a thin wire such that its length becomes 4times.The new resistance of wire

Answer 1

Explanation:

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Answer 2

Concept Introduction

Resistance is a force, like friction, that acts in the body's opposite direction from the direction of motion and tends to stop or impede the body's motion. a measure of how much a material obstructs the voltage-induced flow of electricity

Given

A thick wire of resistance $25ohm$ is drawn into a thin wire such that its length becomes $4$ times.

To Find

We have to find the new resistance of the wire.

Solution

According to the problem,

The relation between area of cross section, length and resistance is given by,

R=ρ*l/A

New length is $4$l.

∴ R'= ρ$4$l/A

⇒R'=$4$*ρL/A=$4$R.

Hence, new resistance is $4*25=100 ohm$.

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