论文标题

麦克斯韦的位移电流和电容器电极之间的磁场

Maxwell's Displacement Current and the Magnetic Field between Capacitor Electrodes

论文作者

Hyodo, Toshio

论文摘要

研究了关于磁场在平行板电容器内及其周围的磁场原因的长期争议。注意到并详细说明了三个可能的争论来源。首先是使用安培 - 马克斯韦尔定律的积分形式计算给出的含糊初始印象,该定律结合了位移电流密度。第二个是将该法律误解为因果效应公式。第三个是对麦克斯韦方程中的电场代表良好区分的无旋转和无差异场的总和,这是对电荷保存和电磁波的存在分别独立负责的事实。

A long-standing controversy concerning the causes of the magnetic field in and around a parallel-plate capacitor is examined. Three possible sources of contention are noted and detailed. The first is the ambiguous initial impression given by the calculation of the magnetic field using the integral form of Ampere-Maxwell's Law which incorporates the displacement current density. The second is misinterpretation of this law as a cause-effect formula. The third is insufficient recognition of the fact that the electric field in Maxwell's equations represents the sum of the well-distinguished irrotational and divergence-free fields, which are independently responsible for conservation of charge and the existence of the electromagnetic waves, respectively.

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