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Dielectric sphere in point charge electric field

  1. May 24, 2010 #1
    I'm interested if it's possible to compute potential inside and outside
    dielectric sphere (with permittivity [tex]\varepsilon_1 [/tex]) which is
    placed in field of point charge q lying outside the sphere where
    permittivity is [tex]\varepsilon_2 [/tex]. I've tried to solve it
    using Legendre polynomilas but I obtain infinite sum which
    I cannot interpretate as images (maybe I made a mistake).
    So this problem cannot be solve using methods of images???
  2. jcsd
  3. May 24, 2010 #2


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    Images won't work. Your LP sum is the standard solution.
  4. May 25, 2010 #3


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    Images work, but there are infinitly many of them!
  5. May 25, 2010 #4
    Thanks for answers. It's quite strange that such apparently simple
    problem has only solution in terms of infinite sum.
  6. May 25, 2010 #5

    Meir Achuz

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    sin x is also calculated by an infinite sum.
  7. May 25, 2010 #6
    indeed, for computer it doesn't matter
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