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Revista mexicana de física E
Print version ISSN 1870-3542
Rev. mex. fís. E vol.55 n.1 México Jun. 2009
Enseñanza
Complete pure dipole spheroidal electrostatic fields and sources
E. LeyKoo
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20364, México, D.F., 01000, México, email: eleykoo@fisica.unam.mx
Recibido el 4 de noviembre de 2008
Aceptado el 13 de enero de 2009
Abstract
Pure dipole distributions of electric charges on the surfaces of prolate and oblate spheroids are identified from the construction of the respective electrostatic potential and intensity fields, inside and outside the spheroids. The Euler connection between the respective prolate and oblate dipole spheroidal harmonics is emphasized; their transition via the spherical harmonics is also recognized; and their limits of a needle surface and a disk surface, respectively, are readily obtained.
Keywords: Pure dipole electrostatic fields and sources; prolate and oblate spheroidal harmonics; Euler connection.
Resumen
Se identifican distribuciones puramente dipolares de carga eléctrica sobre la superficie de esferoides prolatos y oblatos a partir de la construcción de los respectivos campos electrostáticos de potencial e intensidad, dentro y fuera de los esferoides. Se destaca la conexión a la Euler entre los respectivos armónicos esferoidales prolatos y oblatos; se reconoce la transición entre ellos vía los armónicos esféricos; y sus límites de superficies de aguja y de disco, respectivamente, se obtienen facilmente.
Descriptores: Campos y fuentes electrostáticos dipolares puros; armónicos esferoidales prolatos y oblatos; conexión de Euler.
PACS:41.20.Cv1
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