基于Mathematica的群体型静电场计算及其可视化

Calculation of Group-type Electrostatic Field Based on Mathematica and Its Visualization

基于Mathematica符号运算方式获取点、线和环状群体型电场的解析式,并通过数值计算给出可视化仿真图景,改变电场解析式中主要参数值以查看不同物理条件下场的特征和规律。操作过程契合数学思维,求解方法具有简洁、高效和可快捷复用的特点。

In this paper,the analytical formula of point,line and cyclic group-type electric field is obtained based on Mathematica symbolic computation and the visual simulation pictures are given through numerical calculation,changing the main parameters in analytic expression of the electric field to view the characteristics and laws in different physical conditions. The operation process agrees with mathematical thinking,with focus on exploring the nature of the field. And the solution is simple,high efficient,quick and can be re-used.