The Electrostatic Potential Due to a Point Charge in the Presence of a Conducting Sphere and an Infinite Ground Plane
Abstract
The solution of a particular electrostatic potential problem involving a conducting sphere and infinite ground plane in the presence of a point charge is discussed. Use is made of the conventional imaging method to obtain the solution in terms of Lambert series. It is shown how some of the resultant series may be combined and expressed as contour integrals in the complex plane, and how, by a suitable deformation of the contour, the series may be transformed into an extremely rapidly convergent series. The contour method is used to obtain very simply an asymptotic expansion of part of the solution for a limiting case of the problem which was obtained very laboriously by Schloemilch.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1960
- Accession Number
- AD0238626
Entities
People
- Clyde Morrison
- Nick Karayianis
Organizations
- Harry Diamond Laboratories