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

โœ Scribed by R.J. Duffin; J.H. McWhirter

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
769 KB
Volume
316
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis

Explicitformulae are derived giving the Newtonian potential andjield 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 giuen to triangles and rectangles because they appear in variousjnite element calculations. Theformulae may be used, together with the Fredholm integral equation, to solve electric or magneticjeld problems.

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## NOTE Accurate Analytic Formulae for the Far Field Effective Potential and Surface Charge Density of a Uniformly Charged Sphere formulae for the far field effective potential and surface charge density. These formulae are valid over the entire range of ka and display good Simple yet accurate fo