ON THE ENERGY OF THE MAGNETOSTATIC FIELD

Authors

V. Ye. Budanov, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), e-mail: shuben@ipmach.kharkov.ua

O. V. Budanov, Institute of Radio Astronomy of the NASU (4, Mystetstv St., Kharkiv, 61002, Ukraine), e-mail: o.budanov@gmail.com

N. N. Suslov, A. Podgorny Institute of Mechanical Engineering Problems of NASU (2/10, Pozharsky St., Kharkiv, 61046, Ukraine), e-mail: shuben@ipmach.kharkov.ua

Abstract

Using the principle of virtual work, we consider the force action of static electric and magnetic fields localized in a uniformly moving ellipsoidal layer on the point charge that moves synchronously with it outside the layer. It is shown that in order to avoid violating the principle of energy conservation, a static magnetic field must have negative energy.

Keywords: magnetostatic layer energy, principe of virtual work, ellipsoidal layer

References

1. Feynman, R. P., Leighton, R. B., & Sands, M. (1989). The Feynman Lectures on Physics, 3 vols, vol. 2. Redwood City, CA, Addison-Wesley.
2. Budanov, V. E. (1992). On one equivalent formulation of the foundations of the Faraday-Maxwell electrodynamics. Preprint, Academy of Sciences of Ukraine, Institute for Mechanical Engineering Problems, Kharkov, no. 362, 47 p.
3. Budanov, V. E. (2000). Particular features of electric field lines of a point charge. Radiofizika i Elektronika, no. 2, pp. 144–157.
4. Budanov, V. E. & Budanov, O. V. (2011). A virtual work principle in the theory of the Aharonov-Bohm effect. Preprint, Academy of Sciences of Ukraine, Institute for Mechanical Engineering Problems, Kharkov, no. 404, 24 p.

Received 02 April 2016

Published 30 June 2016