1. The problem statement, all variables and given/known data In an infinite cylinder, there is a current density function of [tex]\rho[/tex] with the following expression: [tex]J_z(\rho) = 3(\rho-1)[/tex] for [tex]\rho \leq 1[/tex] [tex]J_z(\rho) = 0[/tex] for [tex]\rho > 1[/tex] 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 [tex]\rho[/tex]. 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! Thanks in advance for your help!