Journal of Siberian Federal University. Mathematics & Physics / Examples of the Solution of the Electrostatic Problem about a Conductive Ellipse in Applied Electric Fields

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (1)
Authors
Kazantsev, Vladimir P.; Shlyahtich, Evgeny N.
Contact information
Kazantsev, Vladimir P. :; Shlyahtich, Evgeny N. : e-mail:
Keywords
characteristic multipole; conductive ellipse; complex potential; induced charge; surface charge density; proper electrostatic energy; interaction electrostatic energy; electrostatic; Chebyshev polynomials
Abstract

A method of the general problem of electrostatics solution for conductive ellipse in applied electric fields is obtained in complex form in terms of characteristic multipole. Particular examples are considered. The expansion of the applied electric fields potentials in terms of Chebyshev polynomials is proved.

Pages
85-101
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2171