Equivalence of the Lorentz and Ampere force laws in magnetostatics

Equivalence of the Lorentz and Ampere force laws in magnetostatics
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静磁学中洛伦兹力定律和安培力定律的等效性

DOI:
10.1063/1.334448
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发表时间:
1985
影响因子:
3.2
通讯作者:
J. Ternan
J. Ternan
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
J. Ternan

文献摘要

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洛伦兹定律和安培定律在静磁学中是等价的。两者都预测了电流分布的互补部分上的相等和相反的力,并且电流元件上只有法向力。没有力沿着该元素。两者之间的虚幻差异归因于不正确的积分的微分形式的法律,并不恰当地使用线电流元素作为源,而不是表面或体积元素。
The Lorentz and Ampere laws are shown to be equivalent in magnetostatics. Both predict equal and opposite forces on complementary parts of a current distribution, and only a normal force on a current element. There is no force along the element. The illusory differences between the two are attributed to the incorrect integration of the differential forms of the laws, and to the inappropriate use of line current elements as sources, instead of surface or volume elements.