The Misconception of Closed Magnetic Flux Lines

@article{Zilberti2017TheMO,
  title={The Misconception of Closed Magnetic Flux Lines},
  author={Luca L. Zilberti},
  journal={IEEE Magnetics Letters},
  year={2017},
  volume={8},
  pages={1-5}
}
  • L. Zilberti
  • Published 25 April 2017
  • Physics
  • IEEE Magnetics Letters
The belief that magnetic flux lines are always closed has been widely disseminated, handed down from Faraday through the present day. We review the problem and revisit the example of “the wire and the loop,” which shows analytically that flux lines are not necessarily closed, and extend its analysis. The pictorial representation based on flux lines may give rise to erroneous conclusions not inherent in Maxwell's laws. 

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References

SHOWING 1-10 OF 32 REFERENCES
Lines of Force in Electric and Magnetic Fields
Assemblages of lines of force are widely used to represent electric and magnetic fields, the density of lines in the neighborhood of a point being proportional to the intensity of the vector at that
Field line motion in classical electromagnetism
We consider the concept of field line motion in classical electromagnetism for crossed electromagnetic fields and suggest definitions for this motion that are physically meaningful but not unique.
Discussion on “an imperfection in the usual statements of the fundamental law of electromagnetic induction.” Atlantic city, N. J., July 2, 1908
  • C. Steinmetz
  • Geology
    Proceedings of the American Institute of Electrical Engineers
  • 1908
George A. Campbell (by letter): The very simplicity of the facts and principles which Maxwell stated is, apparently, the reason for their being overlooked in the present discussion. The points
Topology of Steady Current Magnetic Fields
Textbooks often hold erroneously that the condition ∇·H = 0 implies that lines and tubes of force are closed. Examples are given in which the lines of force are not only unclosed, but also, the
Approaches to Electromagnetic Induction
The first part of this article is a discussion of some ambiguities and sources of confusion in the presentation of electromagnetic induction in introductory texts. Particular attention is paid to the
The magnetic field lines of a helical coil are not simple loops
It is shown that the magnetic field lines of a loosely wound helical coil of finite length do not close after one loop. Examples of simple wire shapes that display the same effect are given.
A Note on Faraday Paradoxes
The validity of the flux rule to determine the electromotive force in a cycle, E=-dΦ/dt, has been the subject of a large amount of controversy since the beginning of electrical technology. Although
Vector potential, electromagnetic induction and 'physical meaning'
A forgotten experiment by Andr? Blondel (1914) proves, as held on the basis of theoretical arguments in a previous paper, that the time variation of the magnetic flux is not the cause of the induced
Ubiquity of chaotic magnetic-field lines generated by three-dimensionally crossed wires in modern electric circuits.
TLDR
It is concluded that CMFLs can exist everywhere; i.e., they are ubiquitous in the modern technological world.
Simple Analytic Expressions for the Magnetic Field of a Circular Current Loop
Analytic expressions for the magnetic induction and its spatial derivatives for a circular loop carrying a static current are presented in Cartesian, spherical and cylindrical coordinates. The
...
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2
3
4
...