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Magnetic fields produced by non-concentric and non-coplanar currents in circular loops

dc.contributor.authorEspejel Morales, Raúl Arturo
dc.contributor.authorMurguía Romero, Gabriela
dc.contributor.authorCalles Martínez, Alipio Gustavo
dc.contributor.authorMorán López, José Luis
dc.identifier.citationR Espejel-Morales et al 2019 Eur. J. Phys. 40 015201
dc.description.abstract"A numerical calculation for the stationary magnetic field produced by arrangements of non-concentric and non-coplanar loop current circuits is presented. The calculation is done by superposing the solution of the magnetic field produced by a set of loops with constant currents that mimic two and three-dimensional systems. In the three-dimensional cases, this is achieved by rotating the magnetic field produced by the non-coplanar loops and adding all the contributions at any arbitrary point in the space. We report the case of two coplanar non-concentric loops that do not overlap and two concentric coplanar rings with different radii carrying currents in the same and opposite directions. Then we consider two non-coplanar rings that are tilted by an angle. More complicated systems consist of a set of loops forming a semi-doughnut. As an extension, we add at the two ends of this system concentric loops to form a horseshoe magnet with a circular cross-section and analyze the results as a function of its geometric characteristics. We can calculate the solutions of the magnetic field in all the space and plot their field lines using a technique that makes use of the Runge-Kutta fourth-order method. In all the cases we plot with different colors the field lines to give information on their strength."
dc.publisherIOP Publishing
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectMagnetic fields
dc.subjectCircular currents
dc.subjectNumerical calculation
dc.subjectThree-dimensional systems
dc.subjectNon-concentric loops
dc.titleMagnetic fields produced by non-concentric and non-coplanar currents in circular loops
dc.rights.accessAcceso Abierto

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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional