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ERIC Number: EJ860656
Record Type: Journal
Publication Date: 2009-May
Pages: 5
Abstractor: As Provided
Reference Count: 10
ISBN: N/A
ISSN: ISSN-0143-0807
The Electrostatic Potential of a Uniformly Charged Ring
Ciftja, Orion; Babineaux, Arica; Hafeez, Nadia
European Journal of Physics, v30 n3 p623-627 May 2009
When faced with mathematical methods, undergraduate students have difficulty in grasping the reality of various approaches and special functions. It is only when they take a more specialized course such as classical electromagnetism that they finally see the connection. A problem that we believe illustrates very well the depth and variety of methods to be employed in a realistic physics situation is the calculation of the off-axis electrostatic potential created by a single uniformly charged ring. By using two methods to solve this problem, we pedagogically show how certain special functions appear and how some interesting connections can be uncovered. Results derived by using conventional direct integration techniques (in terms of complete elliptic integrals of the first kind) are compared with solutions obtained by using a different method that starts with the integrals of Bessel functions. Comparison of the respective results uncovers an interesting transformation formula between the complete elliptic integrals of the first kind with different arguments. (Contains 1 figure.)
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 - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A