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The charge distribution on a conductor for non-Coulombic potentials

American Journal of Physics -- April 2001 -- Volume 69, Issue 4, pp. 435-440

Issue Date: April 2001
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KEYWORDS and PACS

Keywords
PACS
  • 01.50.-i
    Communication, education, history, and philosophy Educational aids
  • 41.20.Cv
    Electromagnetism; electron and ion optics Applied classical electromagnetism Electrostatics; Poisson and Laplace equations, boundary-value problems
  • YEAR: 2001

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PUBLICATION DATA

ISSN:
0002-9505 (print)  
Publisher:
AIP is a member of CrossRef AAPT
David J. Griffiths and Daniel Z. Uvanovic
Department of Physics, Reed College, Portland, Oregon 97202
We study the distribution of charge on a conductor for Yukawa (eµr/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.
History: Received 11 July 2000; accepted 31 October 2000
Permalink: http://dx.doi.org/10.1119/1.1339279

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