均匀带电直线电场分布对称性分析

THE ELECTRIC FIELD DISTRIBUTION SYMMETRY ANALYSIS OF A UNIFORM CHARGED STRAIGHT

由于均匀带电直线电荷分布的特殊性,使其电场分布具有特殊的对称性。通过对均匀带电直线电场强度分布进行计算,分析其电场分布的对称性,并讨论一些特殊情况:半无限长均匀带电直线的电场分布对称性,无限长均匀带电直线的电场分布对称性。由于均匀带电直线电荷分布具有轴对称性,因而导致其电场分布也具有轴对称性。半无限长均匀带电直线的电场分布具有轴对称性。无限长均匀带电直线的电场分布不仅具有轴对称性,而且具有柱对称性。

Because the even charged straight line electric charge distribution particularity,enable its electric field distribution to have the special symmetry.Based on the electric field intensity distribution calculated,the electric field distribution symmetry of a uniform charged straight was analyzed,and some special cases were discussed：Semi-infinite long even charged straight line electric field distribution symmetry,infinite long even charged straight line electric field distributed symmetry.Because the even charged straight line electric charge distribution has the axial symmetry,thus causes its electric field distribution also to have the axial symmetry.The semi-infinite long even charged straight line electric field distribution has the axial symmetry.Not only the infinite long even charged straight line electric field distribution has the axial symmetry,moreover has the column symmetry.