The electric potential of an infinite conducting cylinder with an n-cusped hypocycloidal cross-section

David Romero-Abad, Roberto Suárez-Córdova

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

Generally, during a course in electromagnetism, boundary conditions are used in conjunction with the Laplace equation to determine the electric potential of a system of objects in regions of space free of electric charges. However, for objects with unconventional geometries such as the hypocycloid, this is not an easy task. In the case where the problem can be reduced to two dimensions, there are simpler approximations such as complex-variable with conformal transformation. In this work, we use the last approach, to calculate analytically the electric potential of an infinite conducting cylinder with an n-cusped hypocycloidal cross-section and charge Q per unit length. In addition, we verify some of the results using numerical methods. The target readers of the paper are students pursuing physics at the introductory undergraduate level.

Idioma originalInglés
Número de artículo035205
PublicaciónEuropean Journal of Physics
Volumen43
N.º3
DOI
EstadoPublicada - 2022

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