均匀带电细圆环的电势和电场强度的空间分布  

Spatial Distribution of Electric Field and Electric Potential Generated by a Uniformly Charged Ring

作　　者：于慧[1] 张素花[1] 安海龙[1] 韩英荣[1] 柳辉[1] 张玉红[1] 

机构地区：[1]河北工业大学理学院,天津300130

出　　处：《河北工业大学成人教育学院学报》2007年第4期30-35,共6页Journal of Adult Education School of Hebei University of Technology

摘　　要：均匀带电细圆环是电磁学理论及应用中的基本模型,研究其产生的电场在空间的分布具有重要意义。本文由电势的叠加原理,首先推导出均匀带电细圆环在空间任一点的电势表达式,并用数学软件Mathematic绘出了其电势在空间的分布-等势线的分布;然后由电场强度和电势的关系,得到了空间任一点的电场强度表达式,并进行了数值模拟。A uniformly charged ring is a basic model in electromagnetics and applications, and it is important to study spatial distribution of electric field and electric potential generated by it. The general expression of the electric potential spatial distribution of the uniformly charged ring is obtained based on principle of superposition of electric potential, and the spatial distributions of the isopotential are plotted by Mathematic. The general expression of electric field is obtained by the relation of the electric field and electric potential, and it is analyzed by numerical simulation.

关 键 词：均匀带电细圆环 电势 电场强度 椭圆积分 数学软件Mathematic 

分 类 号：O441[理学—电磁学] O2415[理学—物理]