用PDE工具箱计算非完整带电圆环的电场强度

Computation of Electric Field Strength of a Charged Incomplete Ring by PDE Toolbox

传统的编程计算电磁场数值问题过程繁琐且不易修改。该文利用MATLAB软件中的偏微分方程(PDE)工具箱,首先计算完整均匀带电圆环环平面内的电场强度分布,并将其与传统编程方法的计算结果作比较;其次计算不完整圆环的电场强度分布,研究电场强度径向的分布规律。分析表明,PDE工具箱与传统编程方法计算结果一致,而且更为方便、快捷,能适用于更复杂的计算问题。

The traditional programming of electromagnetic field numerical problems is cumbersome and difficult to modify. In This paper,the partial differential equation（ PDE） toolbox in MATLAB software is used to calculate the electric field intensity distribution in the plane of the complete uniformly charged ring and compare it with the calculation results of traditional programming methods. Next,the electric field intensity distribution of the incomplete ring is calculated and radial distribution of the electric filed intensity is studied.The analysis shows that the PDE toolbox is consistent with the traditional programming methods,and is more convenient and faster,and can be applied to more complicated calculation problems.