任意形状磁场区域感生电动势的研究

Induced electromotive forces for various regions of magnetic field

讨论任意形状磁场区域所产生的感生电动势的计算方法.首先讨论有限长直导线的情况.然后以圆形、矩形和三角形磁场区域为例来计算,结果表明不同形状的磁场区域对相同长度直导线所产生的感生电动势也不相同.其次研究了磁场对无限长直导线所产生的感生电动势.证明了磁场对无限长直导线所产生的感生电动势仅仅依赖磁场区域的面积大小而与磁场区域的具体形状和导线到磁场的距离等因素无关.

In this paper, we calculate the electromotive forces produced by various regions of magnetic field. First, we discuss the electromotive forces in the case of finite long straight conductor. We calculate the electromotive forces for the circular, rectangular and triangular shapes of magnetic field and get analytic results. We find that the results depend on the shapes of the magnetic field and the size of the conductor. Second, we discuss the electromo- tive forces for the case of infinite conductor. In this case, we prove that the electromotive forces only depend on the cross-sectional area of magnetic field. The results are independent of the shapes of magnetic field and the distance from the magnetic to the conductor.