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Finding magnetic flux density from magnetization vector

  1. Feb 15, 2015 #1
    1. The problem statement, all variables and given/known data
    A long cylinder of radius a with magnetization vector M=M_0*(r/a)^2*a_φ. Find the magnetic flux density inside and outside the cylinder.

    2. Relevant equations
    J_m=∇×M
    J_ms=M×a_n

    A=(μ_0/4*π)*(∫(J_m/R)dv+∫(J_ms/R)ds)
    B=∇×A

    3. The attempt at a solution
    Basicly what I thought I'd do is find J_m and J_ms and insert that into A equation and then insert A into B equation. My main problem is I'm not sure how to compute the integrals and also not sure how to divide the problem between inside and outside the cylinder.
     
  2. jcsd
  3. Feb 16, 2015 #2

    TSny

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    Homework Helper
    Gold Member

    Welcome to PF!

    Can you get explicit expressions for x M and M x an? That might help you see how to proceed.
     
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