This report extends prior work in the electrostatics of crystalline conductors by developing results for problems possessing aspherical geometry. While still a 1-D result, the work offers new insights that cannot be made for 1-D Cartesian (and/orcylindrical) geometries, in that only the spherical geometry analyzes a body of finite dimensions. Thus, results in the far fieldcan be studied to see if they match expectations gleaned from classical electrostatics. Inside the body, however, the volumetric charge density of positive charges is limited to a finite value, unlike mobile negative charges, which can congregate on a body's periphery with an infinite volumetric density (by way of a finite surface-charge density). It is this asymmetry between allowablepositive/negative charge densities that leads to results that are at odds with classical electrostatic theory.
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