Charge densities for conducting ellipsoids

T. L. Curtright, Z. Cao, S. Huang, J. S. Sarmiento, S. Subedi, D. A. Tarrence, T. R. Thapaliya

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number035204
JournalEuropean Journal of Physics
Volume41
Issue number3
DOIs
StatePublished - May 2020

Keywords

  • charge density
  • electrostatics
  • ellipsoid

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Curtright, T. L., Cao, Z., Huang, S., Sarmiento, J. S., Subedi, S., Tarrence, D. A., & Thapaliya, T. R. (2020). Charge densities for conducting ellipsoids. European Journal of Physics, 41(3), [035204]. https://doi.org/10.1088/1361-6404/ab806a