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American Journal of Physics -- April 2001 -- Volume 69, Issue 4, pp. 435

The charge distribution on a conductor for non-Coulombic potentials

David J. Griffiths and Daniel Z. Uvanović

Department of Physics, Reed College, Portland, Oregon 97202

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We study the distribution of charge on a conductor for Yukawa (e−μr/r) and power-law (1/rn) potentials. In the Yukawa case some charge goes to the surface, while the remainder distributes uniformly over the volume. In the power-law case no such general result is available, but we obtain the distribution for spheres, cylinders, and slabs, on the range 1⩽n⩽3. In the Coulomb limit (n=1) the charge all goes to the surface; at the other extreme (n=3) it distributes uniformly over the volume. © 2001 American Association of Physics Teachers.

© 2001 American Association of Physics Teachers

KEYWORDS and PACS

Keywords

teaching, electric potential

PACS

  • 01.50.-i

    Educational aids

  • 41.20.Cv

    Electrostatics; Poisson and Laplace equations, boundary-value problems

RELATED DATABASES

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History
Received Jul 2000
Accepted Oct 2000

PUBLICATION DATA

ISSN

0002-9505 (print)  

Publisher

$abstract.society.value is a Member of CrossRef American Association of Physics Teachers

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1119/1.1339279

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