点电荷对延长线上置一接地导体球形成的电场

The Electric Field Generated by the Ground Conductor Sphere on the Extension Line of a Pair of Point Charges

用分离变量法计算了点电荷对延长线上置一接地导体球形成电场的电势,对此分析得到电场的电像,从而给出电场强度与电像有关的表达式,进一步导出电场线方程,利用Mathematica软件绘出了点电荷对不同带电情况相应的电场线簇图.

With the method of separation of variables,the electric potential of the electric field generated by the grounded conductor sphere on the extension line of a pair of point charges is calculated.Through the analysis, the electric image of the electric field is obtained,which gives an expression that presents the relation of the electric intensity and the electric image.And then,the equation of the lines of the electric force is derived as well. Finally,Electric field line maps corresponding to different electric point charges are plotted by mathematical software＂Mathematica＂.