摘要
由位于坐标轴上的均匀带电直线电势表达式出发,给出了均匀带电直线在xy平面内任意空间位置时的电势表达式,然后,利用电场强度与电势梯度的关系,导出了均匀带电直线在xy平面内任意空间位置时的电场强度坐标分量表达式。只需将各个顶点的坐标相应地代入表达式,采取分段计算然后叠加的方法,原则上可以计算任意多边形均匀带电线的电势和电场。实例计算任意四边形均匀带电线的空间电势和空间电场,并讨论了矩形、正方形及其中心轴线上的特殊情况。给出了一个计算任意多边形均匀带电线的普遍方法,具有良好的普适性。所得到的电势分布和电场分布都是空间坐标的函数,具体、准确,便于在工程技术中应用。
Using the expression of electric potential distribution for uniformly charged wire, the electric potential distri- bution expression for uniformly charged wire at arbitrarily space position is derived. Then, using the relation between electric potential gradient and electric field, the electric field intensity coordinate component expression for uniformly charged wire at arbitrarily space position is gotten. Introducing each vertex coordinates into the above expression accordingly, adopting the method of piecewise calculation and overlay, the electric potential and electric field of arbitrary polygon charge wire can be calculated in principle. As an example, the electric potential and electric field of arbitrarily quadrilateral charged coil are cal- culated, and the special cases for uniformly rectangular and square charged coil are discussed. A common method for calcu- lating arbitrary polygon charged wire is presented which has good universality. The results of electric potential and electric field distribution is a function of spatial coordinates. It is specific, accurate, and convenient for application in engineering.
出处
《四川理工学院学报（自然科学版）》
CAS
2017年第3期79-84,共6页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
国家自然科学基金(11505144)
关键词
任意四边形均匀带电线
分段计算
空间电势
空间电场
arbitrarily quadrilateral uniformly charged coil
subsection calculation
electric potential distribution
electric field distribution
