Calculation of the magnetic field strength inside and outside of an infinite cylinder placed in an arbitrary external field

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Abstract

In the model of the infinite cylinder the formulas and the corresponding algorithm for finding the magnetic field strength inside and outside the homogeneous cylinder placed in the external magnetic field of arbitrary configuration are deduced. Testing the results of calculations on these formulas for their correspondence with known physical laws, as well as on their coincidence with well-known analytical answers in the limiting private cases of the forms of magnetics were carried out. A computer program in Fortran language has been compiled and debugged to implement calculations using the proposed algorithm.

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About the authors

V. V. Dyakin

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Author for correspondence.
Email: defect@imp.uran.ru
Russian Federation, Yekaterinburg, 620108

O. V. Kudryaschova

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: kudryashova_ov@imp.uran.ru
Russian Federation, Yekaterinburg, 620108

V. Y. Raevskii

M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences

Email: ravskii@mail.ru
Russian Federation, Yekaterinburg, 620108

References

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  2. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. One Approach to the Numerical Solution of the Basic Equation of Magnetostatics for a Finite Cylinder in an Arbitrary External Field // Defektoskopiya. 2021. No. 4. P. 22—34.
  3. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Calculating the Strength of Magnetic Field from a Homogeneous Cylinder of Finite Dimensions Placed in an Arbitrary External Field // Defektoskopiya. 2022. No. 4. P. 63—74.
  4. Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Calculating the Strength of Magnetic Field from a Homogeneous Cylinder of Finite Dimensions Placed in an Arbitrary External Field // Defektoskopiya. 2023. No. 5. P. 32—44.
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Supplementary files

Supplementary Files
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1. JATS XML
2. Fig. 1. A homogeneous cylinder in a magnetic field.

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