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Cylindrically symmetric current distribution: Magnetic field in all space

  1. Mar 23, 2007 #1
    1. The problem statement, all variables and given/known data

    a. An infinite cyclindrically symmetric current distribution has the form
    [tex]\vec J (r, \phi, z) = J_0 r^2/R^2 \ \ \ \vec\hat \phi[/tex] for [tex]R<r<2R[/tex]. Outside the interval, the current is 0. What is the field everywhere in space?

    b. An infinite cyclindrically symmetric current distribution has the form
    [tex]\vec J (r, \phi, z) = J_0 r^2/R^2 \ \ \ \vec \hat z [/tex] for [tex]R<r<2R[/tex]. Outside the interval, the current is 0. What is the field everywhere in space?




    2. Relevant equations

    Ampere's Law
    Biot Savart?


    3. The attempt at a solution

    r<R B = 0

    r>2R B= 0

    ???

    I don't know where to start.
     
    Last edited: Mar 23, 2007
  2. jcsd
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