非均匀电场中带电粒子的运动特征  

The Characteristics of a Charged Particle Moving in Non-Uniform Electric Fields

作　　者：黄时中[1] 郭蕊[1] 汪嫚 

机构地区：[1]安徽师范大学物理与电子信息学院,安徽芜湖241000

出　　处：《安徽师范大学学报（自然科学版）》2016年第4期342-348,共7页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省自然科学基金项目(11040606M15);国家自然科学基金专项基金项目(11047019)

摘　　要：本文以均匀带电球体、均匀带电圆盘、均匀带电圆环所产生的非均匀电场为例,分析了带电粒子在这些非均匀电场中的运动特征.分析方法的要点是,依据带电粒子在非均匀电场中的受力情况建立动力学方程,解析地导出带电粒子的运动学方程(多数是以隐函数形式呈现的运动学方程),运用现代数学工具mathematica描绘出带电粒子运动的x-t和v-x图像,以此为基础分析带电粒子在非均匀电场中的运动特征.The characteristics of a charged particle moving in non-uniform electric fields such as the electric fields generalized by a charged sphere,a charged disc and a charged ring are analyzed. The basic method is as follows:Based on the electric force acted on the charged particle under the non-uniform electric field,the dynamical equation of the charged particle is established,the moving equation of the charged particle is then derived analytically,the x- t and v- x images are drawn by verdure of the modern mathematics tool,mathematica,and finally,the moving characteristics of the charged particle is discussed.

关 键 词：非均匀电场 带电粒子 运动特征 

分 类 号：O572.2[理学—粒子物理与原子核物理]