Abstract
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 є that identifies the type of curve considered (є = —1 hypocycloids and є = +1 epicycloids).
| Original language | American English |
|---|---|
| Article number | e20200482 |
| Pages (from-to) | 1-5 |
| Number of pages | 5 |
| Journal | Revista Brasileira de Ensino de Fisica |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2021 |
Keywords
- Biot-Savart Law
- Epicycloid
- Hypocycloid
- Magnetic field