均匀带电细棒和带电圆环电场的计算机模拟

COMPUTER SIMULATION OF ELECTRIC FIELD OF UNIFORMLY CHARGED THIN ROD AND CHARGED RING

为了可以更直观地观察带电粒子在复杂电场中的运动轨迹以及描述电场的空间分布,本文基于库仑定律和电场叠加原理,应用VPython软件,对均匀带电有限长细直棒和均匀带电圆环的电场的空间分布进行了可视化模拟;并模拟探究了带电粒子在带电圆环电场中的运动形式,对于简单的周期性运动,我们在理论上计算了带电粒子运动周期,并与模拟的结果相比较做了相关的讨论;模拟探究了带电粒子多种复杂的运动形式,预测了带电粒子在圆环电场中运动可能出现的混沌现象。

In order to observe the moving track of charged particles in complex electric field and the spatial distribution of electric field more intuitively,based on Coulomb's law and electric field superposition principle,VPython software is used to visualize the spatial distribution of the electric field of a uniformly charged straight rod and a uniformly charged ring.The various motion forms of charged particles in the electric field of the charged ring are studied.For simple periodic motion,the period of the charged particle is calculated theoretically and compared with the simulated result with discussions.Many complex motion forms of charged particles are studied by simulation,and the possible chaotic phenomena of charged particles in the electric field of charged ring are predicted.