# Dielectric sphere in point charge electric field

I'm interested if it's possible to compute potential inside and outside
dielectric sphere (with permittivity $$\varepsilon_1$$) which is
placed in field of point charge q lying outside the sphere where
permittivity is $$\varepsilon_2$$. 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???

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Meir Achuz
Homework Helper
Gold Member
Images won't work. Your LP sum is the standard solution.

DrDu
Images work, but there are infinitly many of them!

Thanks for answers. It's quite strange that such apparently simple
problem has only solution in terms of infinite sum.

Meir Achuz
Homework Helper
Gold Member
sin x is also calculated by an infinite sum.

indeed, for computer it doesn't matter