Question

if a wire is 10m long ,diameter has resistance of 10 ohm calculate the resistivity of material?

Answer 1

We have

Resistance= Resistivity x length/area

When the wire is stretched to double the length , the area of cross section gets reduced to half.

So

New Resistance = Resistivity x 2length/area/2

I.e,

New resistance = (Resistivity x area/length)x4

i.e, New resistance = Resistance x 4

So when the wire is stretched, the resistance multiplies by four times.

I Hope thos will help you