Dielectric sphere in point charge electric field

  • Thread starter paweld
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  • #1
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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???
 

Answers and Replies

  • #2
Meir Achuz
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Images won't work. Your LP sum is the standard solution.
 
  • #3
DrDu
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Images work, but there are infinitly many of them!
 
  • #4
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Thanks for answers. It's quite strange that such apparently simple
problem has only solution in terms of infinite sum.
 
  • #5
Meir Achuz
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sin x is also calculated by an infinite sum.
 
  • #6
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indeed, for computer it doesn't matter
 

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