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ERIC Number: EJ830498
Record Type: Journal
Publication Date: 2007-Jul
Pages: 9
Abstractor: As Provided
Reference Count: 4
ISBN: N/A
ISSN: ISSN-0143-0807
A New Look at Two Old Problems in Electrostatics, or Much Ado with Hemispheres
DasGupta, Ananda
European Journal of Physics, v28 n4 p705-713 Jul 2007
In this paper, we take a look at two electrostatics problems concerning hemispheres. The first problem concerns the direction of the electric field on the flat cap of a uniformly charged hemisphere. We show that the symmetry and principle of superposition coupled with Gauss's law gives a delightfully simple solution and then go on to examine how the more "powerful" methods of partial differential equations can be used to arrive at the same solution. A second problem that deals with the force of repulsion between the two hemispheres of a uniformly charged sphere is also dealt with from the same viewpoint. We feel that this approach could be quite instructive to students. (Contains 3 footnotes and 2 figures.)
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A