均匀外电场中无限长介质圆柱壳的场分布的计算和讨论

Calculation and discussion of electrostatic field distribution of infinite long dielectric column shell in an external uniform electric field

用圆柱坐标系中的分离变量法计算了位于均匀外电场中的无限长介质圆柱壳各区域的电势和电场,由计算结果分析了无限长介质圆柱壳对外电场的屏蔽效果,并指出均匀外电场中的无限长导体圆柱壳、无限长介质圆柱体、无限长导体圆柱及无限大均匀电介质中开有一无限长的圆柱形空腔的电势和电场都可以由均匀电场中的无限长介质圆柱壳电势及电场给出.

The electric potential and electric field in every area of an infinite long electric dielectric column shell which located in an external uniform electric field are calculated by using the separation variable method in the cylindrical coordinate, and the effect of electric shield of the column shell is analyzed. Also, the electric potentials and electric fields for the infinite long conductor column shell, the infinite long electric dielectric column, the infinite long conductor column in a homogeneous electric field, and the infinite long cylinder cavity in an infinite electric dielectric can be obtained from our method.