2011
DOI: 10.2528/pierb10082701
|View full text |Cite
|
Sign up to set email alerts
|

Magnetic Field and Current Are Zero Inside Ideal Conductors

Abstract: Abstract-We prove a theorem on the magnetic energy minimum in a system of perfect, or ideal, conductors. It is analogous to Thomson's theorem on the equilibrium electric field and charge distribution in a system of conductors. We first prove Thomson's theorem using a variational principle. Our new theorem is then derived by similar methods. We find that magnetic energy is minimized when the current distribution is a surface current density with zero interior magnetic field; perfect conductors are perfectly dia… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

0
16
0

Year Published

2013
2013
2024
2024

Publication Types

Select...
7
2
1

Relationship

2
8

Authors

Journals

citations
Cited by 25 publications
(16 citation statements)
references
References 35 publications
0
16
0
Order By: Relevance
“…Development of homogeneous ferromagnetic spins destroys the superconductivity if it exceeds critical magnetic field of the superconductor. This model successfully describes the Meissner-Ochsenfeld effect [4,[6][7][8]. The prediction of penetrating strong magnetic fields in type-II superconductors by Abrikosov [9] gave further credibility to GL model which was later verified experimentally [10][11][12].…”
Section: Introductionmentioning
confidence: 85%
“…Development of homogeneous ferromagnetic spins destroys the superconductivity if it exceeds critical magnetic field of the superconductor. This model successfully describes the Meissner-Ochsenfeld effect [4,[6][7][8]. The prediction of penetrating strong magnetic fields in type-II superconductors by Abrikosov [9] gave further credibility to GL model which was later verified experimentally [10][11][12].…”
Section: Introductionmentioning
confidence: 85%
“…During this time, a vast amount of literature on the subject has been accumulated (see, [2][3][4][5]). Originally formulated for conductors, it was then generalized in different directions (we refer interested readers to [6,7] and multiple references therein). One unexpected extension of the Thomson principle was suggested by Landau and Lifshitz [1].…”
Section: Formulation Of the Thomson Theorem (Principle)mentioning
confidence: 99%
“…Using an appropriate YBCO disc, it is possible to observe that the magnet is repelled by the cooled YBCO disc even when it was initially over it. An explanation can be constructed minimizing the (free) energy of the system [32]. The phenomenological exploration leads to characterize a superconductor with the conditions: R=0 as well as B=0 inside the YBCO.…”
Section: The Teaching Learning Sequence On Superconductivitymentioning
confidence: 99%