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dc.contributor.authorKrosney, Alexander E.
dc.contributor.authorLang, Michael
dc.contributor.authorWeirathmueller, Jakob J.
dc.contributor.authorBidinosti, Christopher P.
dc.date.accessioned2021-05-04T14:46:05Z
dc.date.available2021-05-04T14:46:05Z
dc.date.issued2021-04-21
dc.identifier.citationKrosney, Alexander E., Michael Lang, Jakob J. Weirathmueller, and Christopher P. Bidinosti. "Magnetic diffusion, inductive shielding, and the Laplace transform." American Journal of Physics 89 (2021): 490-499. DOI: 10.1119/10.0003508.en_US
dc.identifier.issn0002-9505
dc.identifier.urihttps://hdl.handle.net/10680/1936
dc.descriptionAccepted version of manuscripten_US
dc.description.abstractIn the quasistatic limit, a time-varying magnetic field inside a conductor is governed by the diffusion equation. Despite the occurrence of this scenario in many popular physics demonstrations, the concept of magnetic diffusion appears not to have garnered much attention itself as a subject for teaching. We employ the model of a thin conducting tube in a time-varying axial field to introduce magnetic diffusion and connect it to the related phenomenon of inductive shielding. We describe a very simple apparatus utilizing a wide-band Hall-effect sensor to measure these effects with a variety of samples. Quantitative results for diffusion time constants and shielding cutoff frequencies are consistent with a single, sample-specific parameter given by the product of the tube radius, thickness, and electrical conductivity. The Laplace transform arises naturally in regard to the time and frequency domain solutions presented here, and the utility of the technique is highlighted in several places.en_US
dc.description.sponsorship"The authors gratefully acknowledge the support of the Natural Sciences and Engineering Research Council of Canada, especially the Undergraduate Student Research Awards for A.E.K. and J.J.W."en_US
dc.description.urihttps://aapt.scitation.org/doi/10.1119/10.0003508en_US
dc.language.isoenen_US
dc.publisherAmerican Institute of Physics (AIP) for the American Association of Physics Teachersen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMagnetic fieldsen_US
dc.titleMagnetic diffusion, inductive shielding, and the Laplace transformen_US
dc.typeArticleen_US
dc.identifier.doihttps://doi.org/10.1119/10.0003508en_US


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