由接地导体限定的无限深槽内线电荷的电场

ELECTRIC FIELD OF A LINE CHARGE INSIDE THE INFINITE DEEP-TROUGH LIMITED BY A GROUNDING CONDUCTOR

利用复数坐标系z上的施瓦茨-克利斯多菲变换和镜像法,计算由接地导体限定的无限深槽内线电荷电场中的电势分布和场强分布,给出电场线与等势线方程,并利用数学软件Matlab绘制出其电势分布三维图、电场线和等势线(面)图.

This paper is intended tO calculate the electric field of a line charge inside the infinite deep-trough limited by a grounding conductor by using Schwarz-Christoffel transformations on the coordinate system of the complex number z and mirror image method. The electric poten- tial distribution and electric field intensity distribution arc obtained. The electric field line equation and equipotential line equation are derived. The three-dimensional electric potential map, electric field line and equipotential line are plotted by using the software Matlab.