Skip to main content
SpringerLink
Log in

Conducting object in the presence of a variable magnetic field

  • Theoretical and Mathematical Physics
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

A numerical method is proposed to determine vector potential and gradient of scalar potential inside a conductor in the presence of a magnetic field that exhibits harmonic variations with time. The problem is reduced to the solution of the Helmholtz equation in a conducting object under the condition that the normal component of the right-hand side of equation on the conducting surface is zero. An iterative procedure is proposed for the solution of the original problem. First, the surface charge distribution that satisfies the boundary condition for the vector potential on the conducting surface is found, and, then, the next approximation for the vector potential is obtained with the aid of the Poisson equation. The method is illustrated using numerical experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. O. Savchenko and O. Ya. Savchenko, Tech. Phys. 52, 950 (2007).

    Article  Google Scholar 

  2. A. O. Savchenko and O. Ya. Savchenko, Teor. Mat. Fiz. 170, 381 (2012).

    Article  MathSciNet  Google Scholar 

  3. A. O. Savchenko and O. Ya. Savchenko, Tech. Phys. 59, 16 (2014).

    Article  Google Scholar 

  4. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Pergamon, New York, 1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090, Russia

    A. O. Savchenko

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    O. Ya. Savchenko

Authors
  1. A. O. Savchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Ya. Savchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. O. Savchenko.

Additional information

Original Russian Text © A.O. Savchenko, O.Ya. Savchenko, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 7, pp. 8–12.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Savchenko, A.O., Savchenko, O.Y. Conducting object in the presence of a variable magnetic field. Tech. Phys. 60, 952–956 (2015). https://doi.org/10.1134/S1063784215070221

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784215070221

Keywords

Search

Navigation