Study on the uniformity of electric field on the vertical line of the infinitely long parallel thin plates with uniformly distribution of charges of equal number and equal sign
等量异号均匀带电无限长平行薄板在中垂线上电场的均匀性研究

摘要

根据无限长均匀带电直线的电势公式和电势叠加原理，推导了无限长均匀带电薄板在中垂线上的电势公式，利用电场与电势的关系推导了电场强度的公式．研究了均匀带正负电的无限长薄板在中垂线上电势和场强，发现中心的场强最小，内边缘的场强最大，两板之间并不是匀强电场．引入均匀系数的概念，“均匀场强”实际上是均匀系数不超过某一定值的电场。

Abstract

According to the electric potential formula and superposition principle of infinite uniformly charged line, the electric potential formula on the vertical line of infinite uniformly charged thin plate is deduced, and the electric field strength formula is deduced by using the relationship between electric field and electric potential. The electric potential and electric field strength on the midperpendicular of infinitely long parallel thin plate with uniform positive and negative charges are studied. It is found that the electric field strength of the center is the smallest, while that of the inner edge is the largest, and the electric field between the two plates is not uniform. By introducing the concept of uniformity coefficient, it can be found that the ' uniform electric field ' is actually the field with the uniformity coefficient no more than a certain value.