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/lp/aapt/drag-and-lift-forces-between-a-rotating-conductive-sphere-and-a-4MYvdHyR1H
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- Publisher
- American Association of Physics Teachers
- Copyright
- © 2018 American Association of Physics Teachers.
- ISSN
- 0002-9505
- DOI
- 10.1119/1.5024220
- Publisher site
- See Article on Publisher Site
Abstract
Modeling the interaction between a non-uniform magnetic field and a rotating conductive object provides insight into the drag force, which is used in applications such as eddy current braking and linear induction motors, as well as the transition to a repulsive force, which is the basis for magnetic levitation systems. Here, we study the interaction between a non-uniform field generated by a cylindrical magnet and a rotating conductive sphere. Each eddy current in the sphere generates a magnetic field which in turn generates another eddy current, eventually feeding back on itself. A two-step mathematical process is developed to find a closed-form solution in terms of only three eddy currents. However, the complete solution requires decomposition of the magnetic field into a summation of spherical harmonics, making it more suitable for a graduate-level electromagnetism lecture or lab. Finally, the forces associated with these currents are calculated and then verified experimentally.
Journal
American Journal of Physics – American Association of Physics Teachers
Published: Jun 6, 2018