Question

consider a conductor of resistance R, length L, and resistivity rho. not this conductor is cut into four parts. what will be the new resistivity of each parts and why​

Answer 1

Answer:

Resistivity = rho

Explanation:

Resistivity of a conductor of a given material is fixed, it is constant. It doesn't change.

Let A = Crossectional area of the conductor.

R is directly proportional to L

R is inversely proportional to A

Combining these two, and introducing a constant.

R=(rho)L/A

We introduced (rho) here as a constant. Therefore it doesn't change for a conductor of a given material.

As long as the wire is made up of copper, no matter how small it is cut or how large it is made, it's resistivity remains constant.