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Homework Help: Interesting boundary value problem

  1. Sep 29, 2007 #1
    1. The problem statement, all variables and given/known data

    A solid sphere is placed in an otherwise uniform electric field. Its upper half is made up from a material with dielectric constant e_1; the other half has dielectric constant e_2. The plane at which the parts of the sphere intersect is paralell to the uniform field at infinity.

    The problem is to find the potential at every point in space.

    2. Relevant equations

    3. The attempt at a solution

    My only question is: is there any way for this problem to have azimuthal symmetry?

    I tried to put the z axis paralell to the field at infinity, but I think it's not right since I don't get the solution.
  2. jcsd
  3. Sep 29, 2007 #2


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    Homework Helper

    If I'm reading this right, it sounds like the external field is perpendicular to the symmetry axis of the dielectric sphere. I think that effectively abolishes the azimuthal symmetry.
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