Conducting Spherical Shell with a Circular Orifice
نویسندگان
چکیده
A conducting spherical shell with a circular orifice of half angle θ0 is at electric potential V0. Show that the difference between the charge densities on the inner and outer surfaces is independent of position, and estimate the ratio of the electric charge on the inner surface to that on the outer. Correct results can be inferred from “elementary” arguments based on superposition, and more “exact” derivations can be based on Legendre polynomial expansions, Green’s functions, or the method of inversion.
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