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

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 language	English
Article number	012062
Journal	IOP Conference Series: Materials Science and Engineering
Volume	124
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/124/1/012062
Publication status	Published - 2 Jun 2016
Event	International Conference on Mechanical Engineering, Automation and Control Systems 2015, MEACS 2015 - Tomsk, Russian Federation Duration: 1 Dec 2015 → 4 Dec 2015

ASJC Scopus subject areas

Materials Science(all)
Engineering(all)

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10.1088/1757-899X/124/1/012062

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title = "Polynomial reconstruction of electric charge distribution on the conductive plate caused by external electric field",

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.",

author = "Isaev, {Y. N.} and Kolchanova, {V. A.} and Tarasenko, {S. S.} and Tikhomirova, {O. V.}",

year = "2016",

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T1 - Polynomial reconstruction of electric charge distribution on the conductive plate caused by external electric field

AU - Isaev, Y. N.

AU - Kolchanova, V. A.

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AU - Tikhomirova, O. V.

PY - 2016/6/2

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N2 - 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.

AB - 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.

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