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Conducting planes in magnetostatics

  1. Aug 1, 2009 #1
    1. The problem statement, all variables and given/known data
    Two infinitely long perfectly conducting planes at x = 0 and y = 0 form a boundary on the upper right quadrant (x > 0, y > 0). A magnetic dipole m = m_x + m_y [with their corresponding unit vectors] is located at at (x', y', z' = 0) in the upper right quadrant. Find the magnetic field everywhere in the upper right quadrant.

    Now I think that I can solve the problem using method of images and the usual boundary conditions for normal B and tangential H. But what is the actual significance of conducting plates for magnetostatics?


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 4, 2009 #2

    turin

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    Homework Helper

    You answered your own question in the previous sentence. :)
     
  4. Aug 4, 2009 #3
    Well. To put it in another way. How would the boundary conditions change in case the sheets were made out of dielectrics. As far as I understand, there cannot be any difference.

    Thanks a lot for answering. I had given up on it.
     
  5. Aug 6, 2009 #4

    turin

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    I will assume that you meant permeable material instead of dielectric. The dielectric boundary conditions on the magnetic field are trivial. What is the image of a magnetic dipole in a perfectly conducting surface? What is the image of a magnetic dipole in the surface of a permeable material? Do you have a textbook? The answers to these questions can be found in Jackson (with a little persistence).
     
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