Research on the application of MAPLE software in the visualisation of physical quantitiesin point charge system
MAPLE软件在点电荷系物理量可视化中的应用研究

摘要

对于带电体系的物理量包括电场强度和电势是比较难以直观想象的，本文以点电荷系为例，体系由于点电荷数目的增加和分布的不均匀性，场的叠加趋于复杂化，体系的物理图像越来越难以构建。从点电荷系的泊松方程出发，可得到电势在空间中的分布，而由电场等于电势的负梯度的关系，进而求得体系的电场强度。基于MAPLE的计算机模拟仿真引入到电磁学教学中，有助于把复杂、抽象的物理公式以可视化的方式直观、形象地展示出来，激发学生学习兴趣及增强对物理规律的认识和理解。

Abstract

For the physical quantities of the charged system including electric field strength and potential are more difficult to visualise, this paper takes the point charge system as an example, the system tends to be complicated by the superposition of fields due to the increase in the number of point charges and the inhomogeneity of the distribution, and it is more and more difficult to construct the physical image of the system. Starting from the Poisson equation of the point charge system, the distribution of electric potential in space can be obtained, and by the relationship of the electric field is equal to the negative gradient of the electric potential, and then the electric field strength of the system. MAPLE-based computer simulation is introduced into the teaching of electromagnetism, which helps to visualise the complex and abstract physical formulas in an intuitive and graphic way, and stimulate students' interest in learning as well as enhance their knowledge and understanding of physical laws.