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Aug 17, 2022 at 19:16 comment added Andrew Steane I feel this answer has some relevance but it does rather assume the thing under discussion, in that by adopting Poisson's equation as a route to getting the electric field, one is assuming the field has zero curl. The question is whether that assumption does or does not have to be made in the case of spherical symmetry of the source.
Aug 17, 2022 at 11:24 history answered Roger V. CC BY-SA 4.0