A formula for the potential of a polygon with varying charge density

Explicit formulae are derived giving the Newtonian potential and field of a polygon whose surface charge density is a linear or quadratic function. The formulae involve only the elementary functions, logarithm and arctangent. Special attention is given to triangles and rectangles because they appear...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Franklin Institute 1983-01, Vol.316 (6), p.451-466
Main Authors: Duffin, R.J., McWhirter, J.H.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical electromagnetism, maxwell equations
Classical field theories
Exact sciences and technology
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Explicit formulae are derived giving the Newtonian potential and field of a polygon whose surface charge density is a linear or quadratic function. The formulae involve only the elementary functions, logarithm and arctangent. Special attention is given to triangles and rectangles because they appear in various finite element calculations. The formulae may be used, together with the Fredholm integral equation, to solve electric or magneticfield problems.
ISSN:0016-0032
1879-2693
DOI:10.1016/0016-0032(83)90092-3