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Surface magnetic charge distribution of a long, thin cylinder and its edge singularity

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UNSPECIFIED (1998) Surface magnetic charge distribution of a long, thin cylinder and its edge singularity. In: 7th Joint Magnetism and Magnetic Materials / International Magnetics Conference, JAN 06-09, 1998, SAN FRANCISCO, CA.

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Abstract

The surface magnetic charge distributions with edge singularities are studied for a half-infinite circular cylinder with uniform permeability. The cylinder is placed in an axially uniform magnetic field. The subject of this study is the charge densities around the edges on both side and end surfaces. The charge densities over a certain distance from the edge on the side surface are regarded as constant. It is shown that an integral equation can be found for the charge density around the edge on the side surface. The unknown quantity in the integral equation is expressed as a product of a bounded function and an edge-singular power function depending on the relative permeability. The charge density on the end surface is expressed as a function of the charge densities on the side surface. Numerical calculations are carried out for various values of the relative permeability and are illustrated to clarify the surface magnetic charge densities. The charge densities around the edge are proportional to a certain inverse power of a distance from the edge. It is clarified for the first time that the edge singularity power factor increases with the relative permeability mu and is equal to the same on the right-angled wedge of the same mu.

Item Type: Conference Item (UNSPECIFIED)
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Q Science > QC Physics
Journal or Publication Title: IEEE TRANSACTIONS ON MAGNETICS
Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
ISSN: 0018-9464
Date: July 1998
Volume: 34
Number: 4 Part 2
Number of Pages: 7
Page Range: pp. 2185-2191
Publication Status: Published
Title of Event: 7th Joint Magnetism and Magnetic Materials / International Magnetics Conference
Location of Event: SAN FRANCISCO, CA
Date(s) of Event: JAN 06-09, 1998
URI: http://wrap.warwick.ac.uk/id/eprint/15551

Data sourced from Thomson Reuters' Web of Knowledge

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