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A spherical shell is cut into two halves that remain forming the sphere, but are electrically...

A spherical shell is cut into two halves that remain forming the
sphere, but are electrically isolated from each other at a negligible distance. The nortern hemisphere is at potential +V_0 and the southern hemisphere is at potential -V_0. Obtain the potential V (r, θ, ϕ) inside and outside of the sphere.

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