泰勒级数法计算静磁场和辐射场强度问题

Calculations of magnetostatic field and radiation field utilizing taylor series approach

针对电动力学中求解近似解的问题,以两道典型问题为例,即同轴线圆形线圈的静磁场和边缘带电荷旋转飞轮的辐射场,利用泰勒级数法进行分析和计算,同时给出了常见的错误解法并分析错误缘由,其意义主要为加深对稳恒电磁场和辐射场场强分布的认识,对电动力学的教学有所裨益,亦有利于加强学生从事科学研究和面对现实问题时学以致用的能力。

Focusing on gaining approximate solution in electrodynamics,two classical problems are presented in this paper.For example,static magnetic field of coaxial circular coil and radiation field of rotating flywheel with charged edges.These problems are analyzed and resolved by taylor series approach.Common error solutions are shown and reasons are given in the meantime.More insights on field intensity distribution of steady electromagnetic filed and radiation field would be gained through this paper,which is favor of electrodynamics teaching.In addition,it might be beneficial to reinforce students’practical capability when they engage in scientific research and deal with realistic problems.