Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips
A two-dimensional electrostatic problem in a plane with earthed elliptic cavity due to one or two charged electrostatic strips is considered. Using the integral transform technique, each problem is reduced to the solution of triple integral equations with sine kernels and weight functions. Closed-fo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/60595 |
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| _version_ | 1849415266539143168 |
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| author | B. M. Singh J. G. Rokne R. S. Dhaliwal |
| author_facet | B. M. Singh J. G. Rokne R. S. Dhaliwal |
| author_sort | B. M. Singh |
| collection | DOAJ |
| description | A two-dimensional electrostatic problem in a plane with earthed elliptic cavity due to one or two charged electrostatic strips is considered. Using the integral transform technique, each problem is reduced to the solution of triple integral equations with sine kernels and weight functions. Closed-form solutions of the set of triple integral equations are obtained. Also closed-form expressions are obtained for charge density of the strips. Finally, the numerical results for the charge density are given in the form of tables. |
| format | Article |
| id | doaj-art-574516bddf0d479788e0f3bbd80439d9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-574516bddf0d479788e0f3bbd80439d92025-08-20T03:33:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/6059560595Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic StripsB. M. Singh0J. G. Rokne1R. S. Dhaliwal2Department of Computer Science, The University of Calgary, Calgary T2N-1N4, Alberta, CanadaDepartment of Computer Science, The University of Calgary, Calgary T2N-1N4, Alberta, CanadaDepartment of Mathematics and Statistics, The University of Calgary, Calgary T2N-1N4, Alberta, CanadaA two-dimensional electrostatic problem in a plane with earthed elliptic cavity due to one or two charged electrostatic strips is considered. Using the integral transform technique, each problem is reduced to the solution of triple integral equations with sine kernels and weight functions. Closed-form solutions of the set of triple integral equations are obtained. Also closed-form expressions are obtained for charge density of the strips. Finally, the numerical results for the charge density are given in the form of tables.http://dx.doi.org/10.1155/2007/60595 |
| spellingShingle | B. M. Singh J. G. Rokne R. S. Dhaliwal Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips International Journal of Mathematics and Mathematical Sciences |
| title | Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips |
| title_full | Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips |
| title_fullStr | Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips |
| title_full_unstemmed | Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips |
| title_short | Two-Dimensional Electrostatic Problem in a Plane with Earthed Elliptic Cavity due to One or Two Collinear Charged Electrostatic Strips |
| title_sort | two dimensional electrostatic problem in a plane with earthed elliptic cavity due to one or two collinear charged electrostatic strips |
| url | http://dx.doi.org/10.1155/2007/60595 |
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