任意三角形均匀带电线框的空间电势和空间电场计算

大学物理 ›› 2016, Vol. 35 ›› Issue (9): 7-11.

任意三角形均匀带电线框的空间电势和空间电场计算

邝向军，廖　旭

西南科技大学理学院，四川绵阳　621010

收稿日期:2015-10-14 修回日期:2016-03-03 出版日期:2016-09-20 发布日期:2016-09-20
作者简介:邝向军(1967—)，男，湖南永州人，西南科技大学理学院教授，博士，主要从事凝聚态物理和大学物理教学
基金资助:
西南科技大学重点教学改革项目(13xnzd14)资助

Electric potential of triangle uniformly charged coil and electric field calculation

KUANG Xiangjun，LIAO Xu

School of Science，Southwest University of Science and Technology，Mianyang，Sichuan 621010，China

Received:2015-10-14 Revised:2016-03-03 Online:2016-09-20 Published:2016-09-20

摘要/Abstract

摘要： 从均匀带电直线的电势出发，采取分段计算然后叠加的方法，首先导出均匀带电任意三角形线框的空间电势表达式，然后，利用电场强度与电势梯度的关系，进而导出了均匀带电任意三角形线框的空间电场表达式，并讨论了均匀带电正三角形线框和中心轴线上的特殊情况.

关键词: 均匀带电任意三角形线框, 分段计算, 空间电势分布, 空间电场分布

Abstract: Using the formula of electric potential distribution for uniformly charged wire and considering the triangle charged coil to be three charged wires，the electric potential space distribution of the triangle charged coil is derived. Then，using the relationship between the electric field intensity and electric potential gradient，we get the electric field space distribution for triangle uniformly charged coil. At last，some special cases of the electric potential distribution and electric field space distribution for the uniformly triangle charged coil are discussed.

Key words: triangle uniformly charged coil, subsection calculation, electric potential distribution, electric field distribution

邝向军，廖　旭. 任意三角形均匀带电线框的空间电势和空间电场计算[J]. 大学物理, 2016, 35(9): 7-11.

KUANG Xiangjun，LIAO Xu. Electric potential of triangle uniformly charged coil and electric field calculation[J]. College Physics, 2016, 35(9): 7-11.