| Título: | Relation between surface curvature and electrostatic potential of a long charged isolated conductor |
| Autores: |
Neipp López, Cristian Moreno Marín, Juan Carlos Rodes Roca, José Joaquín Francés Monllor, Jorge Pérez Molina, Manuel Gallego Rico, Sergi Beléndez Vázquez, Augusto |
| Fecha: |
2010-10-01 2010-10-01 2010-04 2010-09 |
| Publicador: | RUA Docencia |
| Fuente: |
 |
| Tipo: | info:eu-repo/semantics/article |
| Tema: |
Electrostatic potential Conductors Surface curvature Fourier series expansion Física Aplicada |
| Descripción: |
In this paper, we analyze the relation between the surface curvature of an isolated charged conductor and resultant electrostatic potential. The study will be performed for a long conductor with uniform cross section. It will be demonstrated by geometric arguments that a correlation between curvature and potential exists. This relation will be obtained for a set of polar coordinates that parameterize the surface of the isolated conductor. Two examples will be discussed based on quasi-circular conducting cylinders, whose cross sections are obtained firstly perturbing the equation of the circle by a cosine function and secondly by a more general function including a Fourier series expansion. This work was supported Ministerio de Ciencia e Innovación, Spain (project FIS 2008 05856-C02-02). |
| Idioma: | Inglés |
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