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Calculation of the rings inductance at the any given degree of skin effect

Ŕ. V. Savel’ev, N. P. Chubinsky

Moscow Institute of Physics and Technology (State University)

The paper is received on December 23, 2013

Abstract: The algorithm of the inductance rings calculation is offered at any given degree of skin effect. It is based on definition of three-dimensional distributions of the current density on section of a ring. It has allowed to determine correctly inductance of "thick" rings when its radius only in some times exceeds thickness of a conductor. The algorithm works in all frequency range of applicability quasistatic approximation. It is supposed to use the given method for calculation of mutual inductance of strongly connected "thick" contours. The received results for thin rings will well be coordinated with known asymptotic calculations. The used algorithm has enabled to determine effective inductance and resistance of the rings formed by system of thin isolated conductors.

 Keywords: inductance, skin effect, distributions of the current density.