Misakian, M.
(2000),
Equations for the Magnetic Field Produced by One or More Rectangular Loops of Wire in the Same Plane, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=10634
(Accessed October 15, 2025)
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Equations for the Magnetic Field Produced by One or More Rectangular Loops of Wire in the Same Plane
Published
Author(s)
Abstract
Beginning with expressions for the vector potential, the equations for calculating the magnetic flux density from up to three rectangular loops of wire in the same plane are derived. The geometry considered is the same as that found in some walk-through metal detectors and electronic article surveillance systems. Equations for more or fewer loops can be determined by inspection. A program for performing the magnetic field calculation is provided in an appendix.Citation
Journal of Research (NIST JRES) -
Volume
105
Issue
4
NIST Pub Series
Pub Type
NIST Pubs
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Keywords
equations, electronic article, surveillance systems, magnetic field, metal detector, rectangular coils
Citation
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Created July 1, 2000, Updated June 2, 2021