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Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 10, Pages 1678–1685 (Mi zvmmf10103)  

Conformal transformation method as applied to finding the current density distribution and induced magnetic field in a strip conductor with a rectangular cut

V. V. Amelicheva, T. N. Gerasimenkob, P. A. Polyakovb, S. I. Kasatkinc

a Technological Center, National Research University of Electronic Technology, Zelenograd, Moscow, 124498, Russia
b Faculty of Physics, Moscow State University, Moscow, 119992, Russia
c Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Profsoyuznaya ul. 65, Moscow, 117997, Russia

Abstract: Given a conductor with a rectangular cut, the problem of determining the direct current distribution and the induced magnetic field in the conductor is solved with applications to the testing of chip conductors. An analytical expression for the current distribution is found assuming that the corners are rounded. The magnetic field induced by the given current is calculated.

Key words: conformal, transformations, Schwarz–Christoffel, integral, strip, conductors, current, distribution, magnetic, field.

DOI: https://doi.org/10.7868/S0044466914100020

Full text: PDF file (320 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2014, 54:10, 1618–1625

Bibliographic databases:

UDC: 519.634
Received: 08.10.2012

Citation: V. V. Amelichev, T. N. Gerasimenko, P. A. Polyakov, S. I. Kasatkin, “Conformal transformation method as applied to finding the current density distribution and induced magnetic field in a strip conductor with a rectangular cut”, Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014), 1678–1685; Comput. Math. Math. Phys., 54:10 (2014), 1618–1625

Citation in format AMSBIB
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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