The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current

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Resumen

We calculate the magnetic field generated by a steady current that takes the shape of two types of special curves: hypocycloids and epicycloids with n numbers of sides. The computation was performed in the center of the referred curves. For this purpose, we use the Biot-Savart law which is studied in every introductory-level electricity and magnetism course. The result is quite general because it is obtained as a function of the number of sides of the curve and in terms of a parameter ϵ that identifies the type of curve considered (ϵ = −1 hypocycloids and ϵ = + 1 epicycloids).
Idioma originalInglés estadounidense
Número de artículoe20200482
Páginas (desde-hasta)1-5
Número de páginas5
PublicaciónRevista Brasileira de Ensino de Fisica
Volumen43
N.º1
DOI
EstadoPublicada - 2021

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