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Magnetization in a rod bent into a torus

  1. Oct 19, 2012 #1
    1. The problem statement, all variables and given/known data

    I can't figure out why there is no bound current in the problem 6 (very subtle hint boldfaced) is the pdf below:
    http://astronomy.mnstate.edu/cabanela/classes/phys370/homework/ps10.pdf [Broken]

    Can anybody give me a hint as to why there should be no bound current
    3. The attempt at a solution

    I know that the total dipole moment contained in a volume element must be constant. However i can't turn this into a relationship between the new M and the old one
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Oct 19, 2012 #2

    TSny

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    See if you can follow the hint. How would the mass density ρ in the bent rod vary with radial distance s? See attached picture. Let point a be a point where the density happens to be the same as the unbent rod (ρo). Can you express the density ρ at an arbitrary point b in terms of the density ρo at a and the radial distances s and so?

    If you can figure that out, then you should be able to see how the magnetization M varies with s.
     

    Attached Files:

  4. Oct 20, 2012 #3
    I figured it out due to your help. Thanks :)
     
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