1. Charge Densities for Conducting Ellipsoids
- Author
-
Thomas Curtright, D A Tarrence, Z Cao, S Subedi, T R Thapaliya, Sunxiang Huang, and J S Sarmiento
- Subjects
Physics ,05 social sciences ,Classical Physics (physics.class-ph) ,FOS: Physical sciences ,050301 education ,General Physics and Astronomy ,Charge density ,Charge (physics) ,Physics - Classical Physics ,Electrostatics ,01 natural sciences ,Ellipsoid ,Computational physics ,Simple (abstract algebra) ,0103 physical sciences ,010306 general physics ,0503 education ,Principal axis theorem - Abstract
The volume charge density for a conducting ellipsoid is expressed in simple geometrical terms, and then used to obtain the known surface charge density as well as the uniform charge per length along any principal axis. Corresponding results are presented for conducting hyperellipsoids in any number of spatial dimensions. The presentation is at a level suitable for use in graduate courses on electrostatics, as a supplement to more traditional material.
- Published
- 2019