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Electromagnetic Field and Constriction Resistance of the Ring-Shaped Contact

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Functional Analysis in Interdisciplinary Applications (FAIA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 216))

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Abstract

The mathematical model describing the axisymmetric electromagnetic field and the constriction resistance of the semispace with AC electrical current passing through a ring-shaped contact is presented. It is based on the system of the Maxwell equations with the special boundary conditions. The analytical formulas for the electric and magnetic fields are obtained. The asymptotic expression for the constriction resistance is found and the corresponding expression for the DC current may be derived from this general expression as a special case. Comparison of this expression with the well known classical formula shows very good approximation.

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References

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Acknowledgements

This publication is supported by the target program 0085/PTSF-14 from the Ministry of Science and Education of the Republic of Kazakhstan.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, 125 Pushkin st., Almaty, 050010, Kazakhstan

    Stanislav N. Kharin, Merey M. Sarsengeldin & Samat A. Kassabek

  2. Kazakh-British Technical University, 59 Tole Bi st., Almaty, 050000, Kazakhstan

    Stanislav N. Kharin, Merey M. Sarsengeldin & Samat A. Kassabek

  3. Suleyman Demirel University, Kaskelen, 040900, Kazakhstan

    Samat A. Kassabek

Authors
  1. Stanislav N. Kharin
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  2. Merey M. Sarsengeldin
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  3. Samat A. Kassabek
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Corresponding author

Correspondence to Merey M. Sarsengeldin .

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Editors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Tynysbek Sh. Kalmenov

  2. Department of Mechanics and Mathematics, Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan

    Erlan D. Nursultanov

  3. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

  4. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Makhmud A. Sadybekov

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Kharin, S.N., Sarsengeldin, M.M., Kassabek, S.A. (2017). Electromagnetic Field and Constriction Resistance of the Ring-Shaped Contact. In: Kalmenov, T., Nursultanov, E., Ruzhansky, M., Sadybekov, M. (eds) Functional Analysis in Interdisciplinary Applications. FAIA 2017. Springer Proceedings in Mathematics & Statistics, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-67053-9_35

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