Physics

Physics

Problem

In a cylindrical wire of constant cross-section

A = 2\,\text{mm}^{2}

and length

L = 2\,\text{m}

, the electric field

E

is observed to vary with position

x

as

E(x) = E_{0} x^{2}

, where

E_{0} = 5\,\text{V/m}^{3}

. The current flowing through the wire is

I = 2\,\text{A}

. Determine the expression for the resistivity

\rho(x)

of the material as a function of

x

.

Browse the problem library