Abstract
AbstractThe following electrostatic potential problem is considered: arbitrary potential distribution is given on a spherical cap, the electric charge distribution is to be determined. The closed form solution is obtained by a special integral representation of the kernel of governing integral equation. Two examples are considered: uniform potential distribution over a spherical cap, and the case of earthed conducting spherical cap in a uniform electrical field. The expressions for the electric charge distribution and the total charge are given. The general results of this paper may be also applied to the related problems of a fluid flow and thermoconductivity.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
