Show simple item record Sneller, AJ Mann, BP 2012-01-26T19:09:01Z 2010-07-16
dc.identifier.citation Journal of Physics D: Applied Physics, 2010, 43 (29)
dc.identifier.issn 0022-3727
dc.description.abstract The electromagnetic induction of voltage across a coil due to the motion of a magnet is among the fundamental problems of physics, and it has a broad range of practical applications. While Maxwell's equations exactly describe this phenomenon, the physical complexity inherent in most realistic situations often prevents the generation of closed-form expressions for the electromagnetic coupling. This paper uses basic principles to develop an approximate analytical expression for the induced voltage in terms of a set of physical parameters, and experimental results demonstrate a high level of validity in the model over the parameter values tested. For oscillatory magnet motion about a point on a coil's axis, it is shown that the induced voltage is an infinite sum of harmonics at integer multiples of the oscillation frequency; the relative amplitudes of these harmonics vary as the magnet's equilibrium position migrates along the coil's axis, causing the odd and even harmonics to vanish, reappear and reach peak values at predictable locations. Several simplifications to the model are considered, and their validity is investigated analytically over a range of parameters. © 2010 IOP Publishing Ltd.
dc.language.iso en_US en_US
dc.relation.ispartof Journal of Physics D: Applied Physics
dc.relation.isversionof 10.1088/0022-3727/43/29/295005
dc.title On the nonlinear electromagnetic coupling between a coil and an oscillating magnet
dc.type Journal Article
duke.description.endpage 10 en_US
duke.description.issue 29 en_US
duke.description.startpage 1 en_US
duke.description.volume 43 en_US
pubs.issue 29
pubs.organisational-group /Duke
pubs.organisational-group /Duke/Pratt School of Engineering
pubs.organisational-group /Duke/Pratt School of Engineering/Mechanical Engineering and Materials Science
pubs.publication-status Published
pubs.volume 43
dc.identifier.eissn 1361-6463

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