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- Homework Statement
- If we have a grounded sphere with a point charge inside, what is the potential outside?

What if it's not a sphere and arbitrary shape?

- Relevant Equations
- Poisson equation for electrostatic potential

Potential inside is given as in ,https://en.wikipedia.org/wiki/Method_of_image_charges, which is the sum of excitation and induced potential. When the charge is outside it is easy to argue potential is zero in the sphere. But when we have charge inside and image outside, what is potential outside?

1) could one use a Gaussian surface enclosing the charge q and surface charge density?

2) in the case of a sphere it's easy to integrate surface charge, what about asymmetric volume?

PS apologies for some reason couldn't write in tex.

1) could one use a Gaussian surface enclosing the charge q and surface charge density?

2) in the case of a sphere it's easy to integrate surface charge, what about asymmetric volume?

PS apologies for some reason couldn't write in tex.