Analytic Expression of Magnetic Field Distribution of Rectangular Permanent Magnets

GOU Xiao-fan; YANG Yong; ZHENG Xiao-jing

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(3): 271-278

GOU Xiao-fan, YANG Yong, ZHENG Xiao-jing. Analytic Expression of Magnetic Field Distribution of Rectangular Permanent Magnets[J]. Applied Mathematics and Mechanics, 2004, 25(3): 271-278.

Citation:

GOU Xiao-fan, YANG Yong, ZHENG Xiao-jing. Analytic Expression of Magnetic Field Distribution of Rectangular Permanent Magnets[J]. Applied Mathematics and Mechanics, 2004, 25(3): 271-278.

Citation:

GOU Xiao-fan, YANG Yong, ZHENG Xiao-jing. Analytic Expression of Magnetic Field Distribution of Rectangular Permanent Magnets[J]. Applied Mathematics and Mechanics, 2004, 25(3): 271-278.

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Analytic Expression of Magnetic Field Distribution of Rectangular Permanent Magnets

Department of Mechanics, College of Physical Science and Technology, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 2002-04-09
Rev Recd Date: 2003-10-31
Publish Date: 2004-03-15

Abstract

Abstract

From the molecular current viewpoint, an analytic expression exactly describing magnetic field distribution of rectangular permanent magnets magnetized sufficiently in one direction was derived from the Biot-Savart's law. This expression is useful not only for the case of one rectangular permanent magnet bulk, but also for that of several rectangular permanent magnet bulks. By using this expression, the relations between magnetic field distribution and the size of rectangular permanent magnets as well as the magnitude of magnetic field and the distance from the point in the space to the top (or bottom) surface of rectangular permanent magnets were discussed in detail. All the calculating results are consistent with experimental ones. For transverse magnetic field which is a main magnetic field of rectangular permanent magnets, in order to describe its distribution, two quantities, one is the uniformity in magnitude and the other is the uniformity in distribution of magnetic field, were defined. Furthermore, the relations between them and the geometric size of the magnet as well as the distance from the surface of permanent magnets were investigated by these formulas. The numerical results show that the geometric size and the distance have a visible influence on the uniformity in magnitude and the uniformity in distribution of the magnetic field.
- permanent magnet,
- magnetic field distribution,
- analytic expression

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References(10)

References

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