Question

Consider a conductor of resistance ‘R’, length ‘L’, thickness‘d’ and resistivity ‘ρ’.

Now this conductor is cut into four equal parts. What will be the new resistivity of

each of these parts? Why?​

Answer 1

The resistivity will remain P for all parts. This is because resistivity is not affected by length or area of conductor.

Answer 2

Answer:

A conductor has been provided with the following characteristics :

Resistance R

Length L

Thickness "d"

Resistivity  

Now , it has been said that the conductor is cut into four equal parts and we need to find out the new resistivity of each of these parts.

First of all, let's define Resistivity :

Resistivity is numerically equal to the resistance of any conductor of unit length and unit cross sectional.

It is a materialistic property and does not depend upon the dimensions of the conductor.

So , irrespective of the cutting of the conductor the resistivity of each parts will still remain same as that of the initial conductor.

So resistivity of new cut conductors will still remain same and be