均匀带电圆锥面轴线上电势的分布

Electric potential distribution of a cone carrying a uniform surface charge in the central axis

利用数学软件Maple强大的符号处理功能,根据电势叠加原理计算出了均匀带电圆锥面轴线上任意点的电势,结果表明:圆锥轴线上电势的大小是先增加后逐渐减小到零,并在圆锥内部存在一个电势最高的点;另外,该数学软件在处理较复杂物理问题时简单方便,其图形可视化功能,有利于学生加深对物理问题的理解.

Maple is a mathematical software with powerful symbolic computation.In this paper,based on the principle of superposition of electric potential,the electric potential distribution of a cone carrying a uniform surface charge in the central axis is obtained.The result shows that the electric potential is first increased continuously and then reaches a ＂peak value＂,and then lets up.Maple is particularly useful in physical problems that require extensive calculation.An important feature of Maple is that it can produce instant graphics to serve as a visual guide,which is generally the best way to understand the underlying physics.