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Homework Help: Maxwell's equations on the boundary between non-conductor and conductor

  1. Oct 16, 2011 #1
    1. The problem statement, all variables and given/known data
    Hi, this is the first time I post a thread in this forum.
    I am not sure if I could post this question here since it is not a homework problem.

    I have trouble understanding two boundary condition between nonconductor and conductor from Maxwell's equations in dynamic case.

    First, n X (H1 - H2) = I (media 1 is non-conductor, media 2 is conductor)
    I know that when the conductor is perfect, there is discontinuity on the boundary since H2=0. So there is surface current K.

    when the conductor is regular conductor, I = J . da = 0 because we take the limit as da -> 0 when we get the equation n X (H1 - H2) = I. Is this reasoning right?

    And when the conductor is superconductor, is H continuous between the boundary?
    Is there surface current K?



    Second, (D1 - D2) . n = σ ,

    When the conductor is perfect, there is discontinuity on the boundary since D2=0.

    What happen when the conductor is regular conductor?
    Does D1 = D2 ? Is there and surface charge?

    And What happen if it is superconductor?
    Does D1 = D2 or D2=0, D1=σ ?


    Thanks.

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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