Polynomial reconstruction of electric charge distribution on the conductive plate caused by external electric field

Y. N. Isaev, V. A. Kolchanova, S. S. Tarasenko, O. V. Tikhomirova

Research output: Contribution to journalArticle

Abstract

The paper proposes an original method of calculating the charge distribution on the surface of the conductive plate introduced into the external electrostatic field. The authors managed to obtain the polynomials which allow to solve the integral equation that establishes the relationship between charge distribution of the conductive plate and the potential distribution of the external field and the potential on the surface of the plate. The proposed algorithms solutions are valid in the presence of axial symmetry of the field and the plate. Examples of calculation of conductor charge distribution in the presence of external field by using a polynomial expansion have been presented. The comparisons of results calculated by the polynomial method and by known analytical solutions have been given.

Original languageEnglish
Article number012062
JournalIOP Conference Series: Materials Science and Engineering
Volume124
Issue number1
DOIs
Publication statusPublished - 2 Jun 2016
EventInternational Conference on Mechanical Engineering, Automation and Control Systems 2015, MEACS 2015 - Tomsk, Russian Federation
Duration: 1 Dec 20154 Dec 2015

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Electric charge
Charge distribution
Electric fields
Polynomials
Integral equations

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

Cite this

Polynomial reconstruction of electric charge distribution on the conductive plate caused by external electric field. / Isaev, Y. N.; Kolchanova, V. A.; Tarasenko, S. S.; Tikhomirova, O. V.

In: IOP Conference Series: Materials Science and Engineering, Vol. 124, No. 1, 012062, 02.06.2016.

Research output: Contribution to journalArticle

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