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 | |
| 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 |
Fingerprint
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 journal › Article
}
TY - JOUR
T1 - Polynomial reconstruction of electric charge distribution on the conductive plate caused by external electric field
AU - Isaev, Y. N.
AU - Kolchanova, V. A.
AU - Tarasenko, S. S.
AU - Tikhomirova, O. V.
PY - 2016/6/2
Y1 - 2016/6/2
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.
UR - http://www.scopus.com/inward/record.url?scp=84975775518&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84975775518&partnerID=8YFLogxK
U2 - 10.1088/1757-899X/124/1/012062
DO - 10.1088/1757-899X/124/1/012062
M3 - Article
AN - SCOPUS:84975775518
VL - 124
JO - IOP Conference Series: Materials Science and Engineering
JF - IOP Conference Series: Materials Science and Engineering
SN - 1757-8981
IS - 1
M1 - 012062
ER -