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How to solve laplacian euqations on dielectric sphere?

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Hi everyone,

I'm a starter of Comsol~

I was trying to solve laplacian euqations on a dielectric sphere with a non unity permittivity e, where a uniform electrical field E was applied outside the sphere.

I'm using the coefficient form pde, I'm not sure how to write the boundary condition that dUin/dr=dUout/dr*e, where Uin is the potential inside the sphere, and Uout is the potential outside.

Also, from analytical solution, at infinity, dUout/dr= E*cos(theta), how do we define infinity in Comsol?

Waiting sincerely for your help.

Best,
Zhijing

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