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Zbl 1137.78302
Coufal, O.
Current density in a long solitary tubular conductor.
(English)
[J] J. Phys. A, Math. Theor. 41, No. 14, Article ID 145401, 14 p. (2008). ISSN 1751-8113; ISSN 1751-8121/e

Summary: Two models are described whose solution is the current density in a tubular conductor that is given by the radii $r_{i} < r_{o}$ and supplied from an ideal current source of a frequency that does not exceed 1 GHz. It has been proven that the two models are equivalent, but model 1 can practically be used only to calculate current density in a cylindrical conductor $(r_{i} = 0)$. The general methods proposed are applied to several concrete examples of tubular and cylindrical conductors. The solution of examples is given in the figures. In the solution of examples, attention is devoted to problems that are connected with the realization of numerical calculation on a computer.
MSC 2000:
*78A25 General electromagnetic theory
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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