Abstract:
A theoretical method for the determination of an electric field near a paraboloidal metal (conducting) tip has been proposed. The accuracy of the proposed numerical solution has been analyzed. The dependence of the electric field strength at the tip vertex on the distance to the plane, which is applicable for predicting fields in various physical problems and engineering calculations, has been considered. The characteristic spatial distributions of the electric potential and field are presented.
Citation:
A. B. Petrin, “Method for the calculation of the electric field near a paraboloidal metal tip above a conducting plane”, TVT, 56:2 (2018), 163–167; High Temperature, 56:2 (2018), 157–161
\Bibitem{Pet18}
\by A.~B.~Petrin
\paper Method for the calculation of the electric field near a paraboloidal metal tip above a conducting plane
\jour TVT
\yr 2018
\vol 56
\issue 2
\pages 163--167
\mathnet{http://mi.mathnet.ru/tvt10805}
\crossref{https://doi.org/10.7868/S0040364418020011}
\elib{https://elibrary.ru/item.asp?id=34956800}
\transl
\jour High Temperature
\yr 2018
\vol 56
\issue 2
\pages 157--161
\crossref{https://doi.org/10.1134/S0018151X18020189}
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Linking options:
https://www.mathnet.ru/eng/tvt10805
https://www.mathnet.ru/eng/tvt/v56/i2/p163
This publication is cited in the following 3 articles:
A. B. Petrin, “On a fundamental solution to problems of electrostatics and heat conductunce for plane-layered media”, High Temperature, 60:5 (2022), 677–687
V. S. Saenko, A. P. Tyutnev, M. A. Afanasyeva, A. E. Abrameshin, “Spacecraft internal charging simulation of the electronics device plastic cases”, IEEE Trans. Plasma Sci., 47:8, 2, SI (2019), 3648–3652
Ilya Agapov, Margarita Afanasyeva, 2019 International Seminar on Electron Devices Design and Production (SED), 2019, 1