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Magnetic fields produced by non-concentric and non-coplanar currents in circular loops | |
RAUL ARTURO ESPEJEL MORALES GABRIELA MURGUIA ROMERO ALIPIO GUSTAVO CALLES MARTINEZ JOSE LUIS MORAN LOPEZ | |
Acceso Abierto | |
Atribución-NoComercial-SinDerivadas | |
https://doi.org/10.1088/1361-6404/aae799 | |
Magnetic fields Circular currents Numerical calculation Three-dimensional systems Non-concentric loops | |
"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." | |
IOP Publishing | |
2019 | |
Artículo | |
R Espejel-Morales et al 2019 Eur. J. Phys. 40 015201 | |
FÍSICA | |
Versión aceptada | |
acceptedVersion - Versión aceptada | |
Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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EurJPhys40(2019)015201.pdf | 14.21 MB | Adobe PDF | Visualizar/Abrir |