# Homework Help: Maxwell's Equations Problem

1. Sep 7, 2010

### shmiv

1. The problem statement, all variables and given/known data

In an infinite cylinder, there is a current density function of $$\rho$$ with the following expression:

$$J_z(\rho) = 3(\rho-1)$$ for $$\rho \leq 1$$
$$J_z(\rho) = 0$$ for $$\rho > 1$$

Determine the electric and magnetic fields in all space.

2. Relevant equations

As far as I can tell, this should be solvable with Maxwell's equations in differential form.

3. The attempt at a solution

Even though it's not explicitly stated, I've assumed that the electric current density in the x and y directions to be 0 as a function of $$\rho$$. So far, I've tried using Maxwell's equations to arrive at a solution, but it seems as though there isn't enough information. Am I missing something here? A nudge in the right direction would be much appreciated!