均匀异号电荷等大共轴圆板轴线上电场均匀性研究

Research on Electric Field Uniformity on the Axis of Equal Sized Coaxial Circular Plate with Uniform Different Sign Charge

重新推导了均匀带电圆形薄板在轴线上的电势和电场强度公式,建立了均匀带等量异号电荷共轴圆板在轴线上的电势和场强公式.研究表明:均匀带等量异号电荷共轴圆板在轴线中心的场强最小,两板内表面的场强最大.引入均匀系数的概念,说明了两板之间的轴线上形成匀强电场的条件.

The formulas for the electric potential and electric field strength on the axis of the parallel circular thin plate with uniform positive and negative charges are re-derived.Thereby,the formulas for the electric potential and electric field strength on the axis of the uniformly charged circular capacitor are established.Research shows that the field strength of the parallel circular plate with uniform positive and negative charges at the center of the axis is the smallest,while the field strength of the inner surfaces of the two plates is the largest.The concept of uniformity coefficient is introduced to illustrate the conditions for the formation of a uniform electric field on the axis between the two plates.