Statistics – Applications
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...20920906a&link_type=abstract
2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #209.06; Bulletin of the American Astronomical Society,
Statistics
Applications
Scientific paper
Spherical rare earth magnets (SREMs) are useful for teaching fundamental concepts in introductory physics. These applications include kinematics, force and motion, energy, momentum, and their conservation, as well as the traditional areas of basic magnetism, the magnetic field of the earth, and magnetic interactions. One application for upper level undergraduate physics majors is the dipole-dipole interaction. Previous studies have confirmed the validity of the dipole approximation for SREMs. Their spherical shape allows them to combine in ways that readily demonstrate local minima in the potential energy interaction function for multiple dipoles. The potential energy function for the dipole-dipole interaction will be given and will be shown to predict several of the basic stable configurations for 2 and 3 SREM spheres. The relative stability of several of these local potential energy minima will be discussed and the results of tests for their reliability in predicting preferred configurations presented. The use of commercial mathematical analysis software for modeling the dipole-dipole interaction will also be demonstrated.
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