确定接地导体球内像电荷的一种原始思路

AN ORIGINAL THOUGHT TO CONFIRM THE IMAGE CHARGE IN THE GROUNDED CONDUCTING SPHERE

针对许多参考书中讨论电像法的基于相似三角形的切入思路,但此法思路并不自然,这里给出一种从极其自然的原始思路出发(只用点电荷的电势公式),确定接地导体球内的像电荷的方法(包括电荷量的大小和位置),并将接地无限大导体板问题作为本问题的特例处理.

According to many reference books, electric image method is based on the thought of similar triangle. However, the thought of this method is not easy to follow. In this paper, an easier method, which starts from the original thought and only uses the point charge equation to confirm the electric quantity and position of the image charge in the grounded conducting sphere, has been given. And we have discussed the infinite grounded conducting plate problem as a special example.