The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
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 i...
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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
2021-02-01
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| Series: | Revista Brasileira de Ensino de Física |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100422&tlng=en |
| _version_ | 1818951578566000640 |
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| author | David Romero Abad |
| author_facet | David Romero Abad |
| author_sort | David Romero Abad |
| collection | DOAJ |
| description | 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). |
| first_indexed | 2024-12-20T09:36:43Z |
| format | Article |
| id | doaj.art-1878fd8e536b43c395b571549a9f0b1a |
| institution | Directory Open Access Journal |
| issn | 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-12-20T09:36:43Z |
| publishDate | 2021-02-01 |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-1878fd8e536b43c395b571549a9f0b1a2022-12-21T19:44:59ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262021-02-014310.1590/1806-9126-rbef-2020-0482The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop currentDavid Romero Abadhttps://orcid.org/0000-0001-5088-9301We 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).http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100422&tlng=enMagnetic fieldBiot-Savart LawHypocycloidEpicycloid |
| spellingShingle | David Romero Abad The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current Revista Brasileira de Ensino de Física Magnetic field Biot-Savart Law Hypocycloid Epicycloid |
| title | The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current |
| title_full | The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current |
| title_fullStr | The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current |
| title_full_unstemmed | The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current |
| title_short | The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current |
| title_sort | magnetic field for an n cusped epi and hypo cycloids loop current |
| topic | Magnetic field Biot-Savart Law Hypocycloid Epicycloid |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100422&tlng=en |
| work_keys_str_mv | AT davidromeroabad themagneticfieldforanncuspedepiandhypocycloidsloopcurrent AT davidromeroabad magneticfieldforanncuspedepiandhypocycloidsloopcurrent |