Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-28T10:01:17.113Z Has data issue: false hasContentIssue false
  • English
  • Français

Note on the Problem of the Electrified Disc

Published online by Cambridge University Press:  20 January 2009

A. A. Ashour
A. A. Ashour
Affiliation:
Mathematical Department, Faculty of Science, University of Cairo, Egypt.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

1. Prof. E. T. Copson has discussed the well-known problem of a circular disc kept at a constant potential Vo in an external field of potential Φ by reducing it to the solution of two integral equations. Tho solution is however fairly simple if we use oblate spheroidal co-ordinates. This is due to the fact that in this system of coordinates the disc can be represented in terms of one co-ordinate only. This method is applied to the above problem and Copson's results are obtained. The solution when Vo is not constant, but any surface function of the disc, is also obtained.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 10 , Issue 3 , January 1956 , pp. 123 - 124
Copyright
Copyright © Edinburgh Mathematical Society 1956

References

Page 124 note 1 “On the problem of the electrified disc,” Proc. Edin. Math. Soc. (2), 8 (1947), 14–19.CrossRefGoogle Scholar