Magnetic field distribution around a superconducting torus

Ivaska, V.; Jonkus, Vytautas; Palenskis, Vilius

doi:10.1016/s0921-4534(99)00279-8

Cited by 10 publications

(14 citation statements)

References 10 publications

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“…This feature has been previously predicted for rings in the critical state 52 and for completely shielded toroids. 53 The general trends described above for the case of an x array are also valid for the case of an xz matrix. Actually, it is important to remark that the general trends in current and field penetration and the magnetic behavior of an xz matrix result from the composition of the properties of both the x array and the z stack that forms it.…”

Section: Interconnected Stripsmentioning

confidence: 74%

Magnetic properties of arrays of superconducting strips in a perpendicular field

2003

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Current profiles and field lines and magnetization and ac losses are calculated for arrays of infinitely long superconducting strips in the critical state in a perpendicularly applied magnetic field. The strips are arranged vertically, horizontally, and in a matrix configuration, which are the geometries found in many actual high-T c superconducting tapes. The finite thickness of the strips and the effects of demagnetizing fields are considered. Systematic results for the magnetization and ac losses of the arrays are obtained as function of the geometry and separation of the constituent strips. Results allow us to understand some unexplained features observed in experiments, as well as to propose some future directions.

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Section: Interconnected Stripsmentioning

confidence: 74%

Magnetic properties of arrays of superconducting strips in a perpendicular field

2003

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“…The strength of the peaks is related to the thickness-to-width ratio of the patterned thin film, just as for the peak at the edge of a strip. This phenomenon has been analytically studied in the torus case, 24 where a similar negative peak on the inner edge of the torus is found.…”

Section: A First Penetration and Penetration Fieldsmentioning

confidence: 75%

Magneto-optical investigation of flux penetration in a superconducting ring

et al. 2001

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Using advanced magneto-optics, the field and current distributions in superconducting thin film YBa 2 Cu 3 O 7 rings in an externally applied magnetic field are studied experimentally. The observations are in close agreement with numerical calculations. During the initial flux penetration and field reversal a highly nonuniform current distribution is observed. In particular, concentric counterrotating current loops occur during field reversal. We explore implications of these results for the determination of critical currents and penetration fields from bulk magnetization measurements.

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“…We do not repeat the solution for a torus since it is a bit lengthy and has been published several times already, probably first by Fock [33], but, independently, several times since then, see, e.g., [34][35][36][37][38][39]. Karlsson [12], however, was probably the first to notice that the solution minimizes magnetic energy for constant flux.…”

Section: Appendix B Explicit Solutions With Minimum Magnetic Energymentioning

confidence: 99%

Magnetic Field and Current Are Zero Inside Ideal Conductors

Fiolhais¹,

Essén²,

Providência³

et al. 2011

PIER B

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Abstract-We prove a theorem on the magnetic energy minimum in a system of perfect, or ideal, conductors. It is analogous to Thomson's theorem on the equilibrium electric field and charge distribution in a system of conductors. We first prove Thomson's theorem using a variational principle. Our new theorem is then derived by similar methods. We find that magnetic energy is minimized when the current distribution is a surface current density with zero interior magnetic field; perfect conductors are perfectly diamagnetic. The results agree with currents in superconductors being confined near the surface. The theorem implies a generalized force that expels current and magnetic field from the interior of a conductor that loses its resistivity. Examples of solutions that obey the theorem are presented.

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Magnetic field distribution around a superconducting torus

Cited by 10 publications

References 10 publications

Magnetic properties of arrays of superconducting strips in a perpendicular field

Magnetic properties of arrays of superconducting strips in a perpendicular field

Magneto-optical investigation of flux penetration in a superconducting ring

Magnetic Field and Current Are Zero Inside Ideal Conductors

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