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Dielectric Sphere in Electric Dipole

  1. Sep 2, 2008 #1

    I am aware that the effects of a dielectric sphere in a uniform electric field have been done in many introductory electromagnetism books.

    Is anyone ware of a similar problem where the uniform electric field is replaced by a dipole field?
    Would solving such a problem for the resultant field have an explicit solution?

    If anyone could direct me to a resource, or advise me as to how to approach the problem I would greatly appreciate it.

    Thanks in advance
  2. jcsd
  3. Sep 3, 2008 #2


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    Science Advisor

    A dielectric sphere in the field of a point charge is done in advanced textbooks using a Legendre polynomial expansion.
    The sphere in the field of a dipole can be done in a similar manner, but is much more complicated. It is a bit simpler if the sphere is located on the axis of the dipole.
    The dipole field would have to be expanded in LPs about a point on its axis.
    Another approach is to take the result for two charges, +q and -q, a distance d apart.
    Then take the limit as d-->0.
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