Magnetic Interaction Force and a Couple on a Superconducting Sphere in an Arbitrary Dipole Field

Palaniappan, D.

doi:10.1007/s10948-009-0442-4

Cited by 11 publications

(14 citation statements)

References 13 publications

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“…The magnetic field calculations involving perfectly superconducting (single phase with vanishing normal component of the magnetic field at the surface) magnets placed in a surrounding medium have been performed in many studies (see for instance, [2][3][4][5][6][7]). Exact results for the magnetostatic scalar potentials, interactions, levitation forces and moments on the magnets are available for a spherical superconductor [8][9][10] in the homogeneous case.…”

Section: Introductionmentioning

confidence: 99%

“…Exact results for the magnetostatic scalar potentials, interactions, levitation forces and moments on the magnets are available for a spherical superconductor [8][9][10] in the homogeneous case. A typical physical problem reduces to a Neumann boundary value problem for the Laplace equation for which closed form analytical solutions are tractable via spherical harmonic methods [2,8,9] or using analogous hydrodynamical approach [3,11]. For permanent magnets and materials with dissimilar magnetic permeability constants compared to that of the surrounding host medium the magnetic field calculations are more challenging due to 'heterogeneity'.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic Monopole Interaction with a Magnetic Sphere

Alarki¹,

Palaniappan²

2021

Int J Magnetics Electromagnetism

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The two-phase problem of a magnetic sphere of radius a with permeability constant µ i (interior phase) interacting with a monopole/magnetic source located at (0, 0, c), c > a, in the host medium with permeability µ e (exterior phase) is addressed in this paper. By considering the Maxwell-Maxwell (MM) framework, exact results for the scalar magnetostatic potentials in the regions exterior and interior to the magnetic sphere are presented in various forms. The constructed potentials in infinite series and closed forms satisfy a set of mixed boundary conditions on the sphere and provide image system interpretations similar to those in electrostatics. An alternative form of the solution reveals a new interpretation that the image system can also be expressed as a distribution of magnetic dipoles between the sphere center and the Kelvin's inverse

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnetic Monopole Interaction with a Magnetic Sphere

Alarki¹,

Palaniappan²

2021

Int J Magnetics Electromagnetism

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“…However, in the cases of curved surfaces, applying the boundary conditions are more difficult. Therefore, those who worked with curved surfaces, such as spherical surfaces, came up with different results [6,7,8] . When we follow their derivations we found that their results did not match the boundary condition that such surfaces possess [6,7] .…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, those who worked with curved surfaces, such as spherical surfaces, came up with different results [6,7,8] . When we follow their derivations we found that their results did not match the boundary condition that such surfaces possess [6,7] . Some authors when they generalize the problem they fixed the image position and calculated the magnetic field at the position of the magnet [8] , and they ignored the fact that the magnet and its image are collinear and you cannot fix one and ignore the other.…”

Section: Introductionmentioning

confidence: 99%

Interaction Force between a Small Magnet and a Superconducting Sphere

Subahi¹

2019

JKAU Eng Sci

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The interaction force between a small magnet and a superconducting sphere is calculated using the method of images. Our approach can be easily verified by applying boundary conditions. This work will possesses and clear the discrepancies found in the literature. For collinear dipoles case (small magnet and its image), we found the elevated force to be dependent on the geometrical dimensions of the problem

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“…[1][2][3] The method of the images can be used to provide analytical solutions for these highly symmetric cases.…”

Section: Introductionmentioning

confidence: 99%

Stable thrust on a finite-sized magnet above a Meissner superconducting torus

Pérez-Díaz

Díez-Jiménez

Valiente–Blanco

et al. 2013

Journal of Applied Physics

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Forces and torques exerted by a superconducting torus on a permanent magnet have been mapped. It is demonstrated that stable orbits exist. Moreover, provided that the magnet remains in any of these orbits, the first critical field in the superconductor is never overpassed and the superconductor remains in the Meissner state. The consequent absence of hysteresis makes these kinds of device perfect candidates for non-frictional bearings or gyroscopes. V C 2013 American Institute of Physics.

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Magnetic Interaction Force and a Couple on a Superconducting Sphere in an Arbitrary Dipole Field

Cited by 11 publications

References 13 publications

Magnetic Monopole Interaction with a Magnetic Sphere

Magnetic Monopole Interaction with a Magnetic Sphere

Interaction Force between a Small Magnet and a Superconducting Sphere

Stable thrust on a finite-sized magnet above a Meissner superconducting torus

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