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本文从物质的磁性与电磁感应的关系,以说明在金属圆盘上,在磁通周界以内的区域中的涡流的产生;而周界以外的部分,则视为具有一个相当大的数目的n个单匝的短路线圈,每个线圈就是一条“涡流带”而产生涡流。一条“涡流带”上的与另一条“涡流带”上的运动电荷总是互相排斥,形成各自独立、封闭的涡流路道。应用点集论的概念和一一对应的数学方法,从而确定涡流路道和等电位线的轨迹方程式;并推导出电阻、电感、电磁力和电磁力矩的计算公式。 当m个磁通的位置在金属圆盘上成对称布置、及其周期互异时,则有电磁转矩的周期为各磁通的周期的最小公倍数的“对称效应”。
In this paper, the relationship between the magnetic and electromagnetic induction of matter is described to illustrate the generation of eddy currents in the area within the perimeter of the magnetic flux on a metal disc, whereas the portion outside the perimeter is considered to have a significant number n single turns of the short-circuit coil, each coil is a “swirl zone” and generate eddy currents. The motion charges on one “swirl band” and on the other “swirl band” are always mutually exclusive to form independent and closed vortex paths. The concept of point theory and the corresponding mathematical method are applied to determine the trajectory equations of eddy current paths and equipotential lines. The formulas of resistance, inductance, electromagnetic force and electromagnetic moment are deduced. When the position of the m magnetic flux in the metal disc symmetrically arranged, and the cycle of each other, then the electromagnetic torque cycle of the flux of the least common multiple of the “symmetry effect.”