Interactions between uniformly magnetized spheres
Interactions between uniformly magnetized spheres
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DOI：
10.1119/1.4973409
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发表时间：
2017-02-01
影响因子：
0.9
通讯作者：
Booth, William A.
中科院分区：
文献类型：
--
作者：
Edwards, Boyd F.;Riffe, D. M.;Booth, William A.
我们使用简单的对称性参数适合本科生证明，两个均匀磁化的球体之间的磁能，力和扭矩是相同的两个点磁偶极子之间的。这些论点利用了均匀磁化球体外部的场与点磁偶极子的场的等效性，并且适用于任意大小、位置和磁化的球体。磁相互作用的点偶极/球等效性在教学和研究中可能是有用的，其中均匀磁化球的偶极近似现在可以被认为是精确的。这项工作最初是出于对用作桌面玩具的小钕磁性球体之间相互作用的兴趣。(C)2017年美国物理教师协会
We use simple symmetry arguments suitable for undergraduate students to demonstrate that the magnetic energy, forces, and torques between two uniformly magnetized spheres are identical to those between two point magnetic dipoles. These arguments exploit the equivalence of the field outside of a uniformly magnetized sphere with that of a point magnetic dipole, and pertain to spheres of arbitrary sizes, positions, and magnetizations. The point dipole/sphere equivalence for magnetic interactions may be useful in teaching and research, where dipolar approximations for uniformly magnetized spheres can now be considered to be exact. The work was originally motivated by interest in the interactions between collections of small neodymium magnetic spheres used as desk toys. (C) 2017 American Association of Physics Teachers.