Soviet Physics Journal

, Volume 12, Issue 7, pp 841–845 | Cite as

Approximate calculation of the magnetic moment of an elliptic-profile cylinder in a uniform alternating magnetic field

  • M. N. Bobrova
  • A. B. Sapozhnikov


Equations are derived for the magnetic moment of a cylinder of elliptic profile magnetized by a uniform alternating magnetic field. The problem is solved by the approximate Neumann-Gel'bukh method. A correction which permits the use of the Neumann-Gel'bukh method for small ¦k¦a >- 1 is proposed for calculating the magnetic moment of a cylinder with a permeability μ = 1. Approximate expressions are found for the magnetic moment of a circular cylinder and of a sphere having permeability of μ = 1. The calculation error does not exceed 17%.


Magnetic Field Permeability Circular Cylinder Calculation Error Approximate Expression 
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Literature cited

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    L. R. Neuman, Surface Effects in Ferromagnetic Objects [Russian translation], Gosenergoizdat (1949).Google Scholar
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    L. A. Gel'bukh, Zh. Tekh. Fiz.,27, No. 3 (1957).Google Scholar
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    L. A. Gel'bukh, Zh. Tekh. Fiz.,28, No. 3 (1958).Google Scholar
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    A. B. Sapozhnikov, Doctoral Dissertation [in Russian], Tomsk (1952).Google Scholar
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    L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian] (1959).Google Scholar
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    A. B. Sapozhnikov and M. N. Bobrova, Izvestiya VUZ. Fizika, No. 1 (1963).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • M. N. Bobrova
    • 1
  • A. B. Sapozhnikov
    • 1
  1. 1.V. D. Kuznetsov Siberian Physicotechnical InstituteUSSR

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