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Distribution of the magnetic field induced by a current passing through slabs in the superconducting and normal states

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Abstract

The magnetic field induced by a current passing through a long slab is calculated. For the uniformly distributed current, simple formulas for the field components inside and outside the slab are derived. For the nonuniformly distributed current, the magnetic field is numerically calculated for a thin wide superconducting film (the thickness of the film is on the order of the magnetic field penetration depth). It is shown that the current-induced field distribution depends on the form of the exponential dependence of the current density. Experimental distributions are compared with results of a theory where a finite-thickness film is considered as two-dimensional (indefinitely thin). Comparison is also made between experimental and calculated values of the magnetic fields. For a number of points on a plane parallel to the slab and on a plane passing through its center, experimental data are compared with the results obtained by mere summation of partial contributions to the field.

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Original Russian Text © D.D. Prokof’ev, 2006, published in Zhurnal Tekhnicheskoĭ Fiziki, 2006, Vol. 76, No. 6, pp. 1–8.

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Prokof’ev, D.D. Distribution of the magnetic field induced by a current passing through slabs in the superconducting and normal states. Tech. Phys. 51, 675–682 (2006). https://doi.org/10.1134/S1063784206060016

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