Consistent Electrostatics of Crystalline Conductors: Spherical Geometry
Abstract
This report extends prior work in the electrostatics of crystalline conductors by developing results for problems possessing a spherical geometry. While still a 1-D result, the work offers new insights that cannot be made for 1-D Cartesian (and/or cylindrical) geometries, in that only the spherical geometry analyzes a body of finite dimensions. Thus, results in the far field can 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 allowable positive/negative charge densities that leads to results that are at odds with classical electrostatic theory.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2019
- Accession Number
- AD1067061
Entities
People
- Steven B. Segletes
Organizations
- United States Army Research Laboratory