The Potential and Electric Fields of a Conducting Sphere in the Presence of a Charged Conducting Plane

Abstract

The solution is given to Laplace's equation for a conducting sphere above a ground plane. The solution includes the presence of a uniform electric field perpendicular to the ground plane. The arbitrary constants in the solution are determined by applying the boundary conditions on the plane and on the sphere. Formulas are given for the evaluation of the potential and electric fields at an arbitrary field point. All the resulting formulas are expressed in a style for computation. The computational results will form the basis of a future comparison report.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1989
Accession Number
ADA209498

Entities

People

  • Clyde A. Morrison

Organizations

  • Harry Diamond Laboratories

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Boundaries
  • Classification
  • Computational Science
  • Coordinate Systems
  • Diatomic Molecules
  • Electric Fields
  • Electromagnetic Fields
  • Equations
  • Libraries
  • Military Research
  • New York
  • Radiation
  • Security
  • Spherical Harmonics
  • Test And Evaluation
  • Voltage

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Plasma Physics / Magnetohydrodynamics