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Maxwell's Equations Problem

  1. Sep 7, 2010 #1
    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!
  2. jcsd
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