Calculation of vertical force between finite, cylindrical magnets and superconductors
E. Várguez–Villanuevaª, V. Rodríguez–Zermeñob, and V. Sosaa,*
ª Universidad Autónoma de Yucatán, Facultad de Ingeniería, Av. Industrias no Contaminantes por Anillo Periférico Norte S/N, Apartado Postal 150 CORDEMEX, Mérida, México.
b Universidad Autónoma de S.L.P, Facultad de Ciencias, Av. Salvador Nava S/N, San Luis Potosí, México.
* Permanent address: ]]>
CINVESTAV–IPN Unidad Mérida,
Apartado Postal 73 CORDEMEX,
97310 Mérida, México.
Fax: (999) 981–2917.
e–mail: vic@mda.cinvestav.mx
Recibido el 17 de diciembre de 2007
Aceptado el 22 de abril de 2008
Abstract
]]> The maximum force between a permanent magnet and a superconductor in the Meissner state has been calculated. The calculation was performed assuming the superconductor to be a perfect diamagnet and neglecting the London penetration depth. The resulting force takes into account the geometric dimensions of both the magnet and the superconductor. This constitutes an important improvement for the description of the maximum force attainable in these systems. The method can be applied in cases with azimuthal symmetry.Keywords: Levitation; YBCO; Meissner effect.
Resumen
Se calculó la máxima fuerza entre un imán permanente y un superconductor en el estado Meissner. El cálculo se realizó suponiendo que el superconductor es un diamagneto perfecto y despreciando la longitud de penetración de London. La fuerza resultante toma en cuenta las dimensiones geométricas tanto del imán como del superconductor. Esto constituye una mejora importante para la descripción de la máxima fuerza obtenible en estos sistemas. El método puede ser aplicado en casos con simetría azimutal.
Descriptores: Levitación; YBCO; efecto Meissner.
PACS: 85.25.Ly; 74.25.Ha
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]]>Acknowledgements
We wish to thank Lourdes Pinelo for her secretarial assistance. One of us (V. R.–Z.) is grateful for a scholarship from the Academia Mexicana de Ciencias. This work was partially supported by CONACYT–México (Grant No. 34495–E).
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