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- Homework Statement
- A point dipole p is imbedded at the center of a sphere of linear

dielectric material (with radius R and dielectric constant r). Find the electric potential inside and outside the sphere.

- Relevant Equations
- Laplace's equation

I know the solution already, yet I don't understand why I'm able to solve laplace's equation when the volume has a point dipole within; I thought this required Poisson's eauation, which I have no experience in solving. Here is the relevant part of the solution