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Electrostatics of a Point Charge between Intersecting Planes: Exact Solutions and Method of Images

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Bibliographic Details
Title: Electrostatics of a Point Charge between Intersecting Planes: Exact Solutions and Method of Images
Language: English
Authors: Mei, W. N., Holloway, A.
Source: International Journal of Mathematical Education in Science & Technology. Dec 2005 36(8):843-860.
Availability: Customer Services for Taylor & Francis Group Journals, 325 Chestnut Street, Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420 (Toll Free); Fax: 215-625-8914.
Peer Reviewed: Y
Page Count: 18
Publication Date: 2005
Document Type: Journal Articles
Numerical/Quantitative Data
Reports - Descriptive
Descriptors: Higher Education, College Mathematics, Equations (Mathematics), Problem Solving, Mathematics Education, Physics, Energy, Mathematical Formulas
ISSN: 0020-739X
Abstract: In this work, the authors present a commonly used example in electrostatics that could be solved exactly in a conventional manner, yet expressed in a compact form, and simultaneously work out special cases using the method of images. Then, by plotting the potentials and electric fields obtained from these two methods, the authors demonstrate that these two methods provide identical solutions. Furthermore, a number of sum rules are deduced based on the arguments that these two methods should also give the same induced charge, and force. (Contains 9 figures.)
Abstractor: Author
Number of References: 10
Entry Date: 2006
Access URL: https://taylorandfrancis.metapress.com/link.asp?target=contribution&id=L09W180472R587GP
Accession Number: EJ729394
Database: ERIC
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Description
Abstract:In this work, the authors present a commonly used example in electrostatics that could be solved exactly in a conventional manner, yet expressed in a compact form, and simultaneously work out special cases using the method of images. Then, by plotting the potentials and electric fields obtained from these two methods, the authors demonstrate that these two methods provide identical solutions. Furthermore, a number of sum rules are deduced based on the arguments that these two methods should also give the same induced charge, and force. (Contains 9 figures.)
ISSN:0020-739X