【摘要】 带电偏心圆柱面有内偏心和外偏心两种情况，它们都有相同的对称点公式。通过保角变换将两种偏心区域变换成环形区域，求出环域的两个半径，并做了详细分析。用简单方法求出电势函数，进而求出电场强度的两个分量和电通函数。将公式无量纲化，用MATLAB绘制图形，证明了等势线和电场线都是圆，发现了偏心圆柱面的电场等效于两条等量异号无限长带电直线产生的电场。更多还原

【Abstract】 There are two cases for the charged eccentric cylindrical surface: internal eccentricity and external eccentricity, both of them have the same formula for symmetry point.The two eccentric regions are transformed into annular regions by conformal transformation,and the radii of the two annular regions are calculated and analyzed in detail. The electric potential function is obtained by a simple method, and then the two components of the electric field strength and the electric flux function are obtained. The formulas are nondimensionalized, and the graphs are drawn by using MATLAB, so as to illustrate the results. It is proved that both the equipotential lines and the electric field lines are circles. Moreover, it is found that the electric field of the eccentric cylindrical surface is equivalent to the electric field generated by two infinitely long straight lines with equal number of charges but different signs.更多还原