螺绕环磁场的镜像对称性分析

Analysis on Mirror Symmetry of Magnetic Fields in Toroids

利用安培环路定理求解长直导线、长直螺线管、螺绕环等载流系统的磁场时,对称性分析是选取闭合回路的关键.通过分析解螺绕环磁场时的镜像对称条件,说明合理应用对称性分析,能够使求解电场和磁场问题的图像更清晰、计算更简化、表述更准确.因此,在电磁学教学中应给予对称性分析足够的重视.

Symmetry analysis is the key to choosing a closed curve when the magnetic fields of some current-carrying systems are solved,such as long straight current-carrying wires,long solenoids,and toroids by using Ampere′s loop law.In this paper,we analyzed in detail the mirror symmetry conditions for solving the magnetic field of a toroid.The analysis shows that the rational application of symmetry analysis can make the image clearer,the calculation simpler,and the description more accurate when solving problems of electric and magnetic field.Therefore,symmetry analysis should be given enough attention in electromagnetism courses.