均匀带电矩形线框的空间电场  

Electric Field Calculations on Uniformly Charged Rectangular Coil

作　　者：邝向军[1] 张伟[1] KUANG Xiangjun ZHANG Wei(School of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, China)

机构地区：[1]西南科技大学理学院,四川绵阳621010

出　　处：《宜宾学院学报》2016年第12期88-92,107,共6页Journal of Yibin University

基　　金：国家自然科学基金项目(11347134)

摘　　要：从熟知的均匀带电直线的电势表达式出发,导出均匀带电矩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,采取分段计算然后叠加的方法,得到了均匀带电矩形线框的空间电场表达式.最后讨论了均匀带电正方形线框及其中心轴线上电场的特殊情况.所得到的电场分布是空间坐标的函数,具体、明确,便于在工程技术应用.采用的方法简单、基础,贴近大学物理教学.利用这一方法,原则上还可以计算任意多边形均匀带电线框的电场.Using the well-known expression of electric potential distribution for uniformly charged wire, the space electric potential expression was derived. Taking advantage of relationship between electric field intensity and electric potential gradient, space electric field intensity expression of uniformly charged rectangular coil was obtained by subsection calculations. At last, the special cases of uniformly charged square coil and its center axis were discussed. The electric field distribution is the function of spatial coordinates, it is clear and concrete, and easy to be used in engineering technology. The method used is simple, fundamental, and close to the university physics education. The electric field of the uniformly charged arbitrary polygon coil can be calculated by using this method in principle.

关 键 词：均匀带电矩形线框 分段计算 空间电势分布 空间电场分布 

分 类 号：O441[理学—电磁学]