Comparing a current-carrying circular wire with polygons of equal perimeter: Magnetic field versus magnetic flux

Silva, J .P.; Silvestre, António Jorge

http://hdl.handle.net/10400.21/1755

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Authors

Silva, J .P.

Silvestre, António Jorge

Abstract(s)

We compare the magnetic field at the centre and the self-magnetic flux through a current-carrying circular loop, with those obtained for current-carrying polygons with the same perimeter. As the magnetic field diverges at the position of the wires, we compare the self-fluxes utilizing several regularization procedures. The calculation is best performed utilizing the vector potential, thus highlighting its usefulness in practical applications. Our analysis answers some of the intuition challenges students face when they encounter a related simple textbook example. These results can be applied directly to the determination of mutual inductances in a variety of situations.

Keywords

Current-Carrying Circular wire Polygons of Equal Perimeter Magnetic Field Magnetic Flux

URI

http://hdl.handle.net/10400.21/1755

Citation

Silva J P; Silvestre A J. Comparing a current-carrying circular wire with polygons of equal perimeter: Magnetic field versus magnetic flux. European Journal of Physics. ISSN‎: ‎0143-0807. 2005: 26 (5), 783-790.