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众所周知,如果把一个点电荷q放在一组接地导体附近的某点P上,这些导体上将会出现感应电荷Q。在学习和研究电磁学和电动力学的理论过程中,我们往往要计算出静电情况下的这种感应电荷。一般的是采用解拉普拉斯方程和电像法这两种方法先计算出空间任意一点的电势φ,然后利用电荷和电场的关系,反过来计算导体表面上的感应电荷,这两种方法虽然好处很多,但也存在不足之处。特别是对于处在点电荷场中的几
It is well-known that if a point charge, q, is placed at a point P near a set of ground conductors, inductive charges Q will appear on these conductors. In studying and studying the theories of electromagnetism and electrodynamics, we tend to calculate this induced charge in the presence of static electricity. The general is to use Laplace Laplace equation and the two methods of electrical imaging to calculate the potential of any point of space φ, and then use the relationship between charge and electric field, and vice versa to calculate the induced charge on the conductor surface, the two methods Although there are many advantages, there are still some shortcomings. Especially for a few in a point charge field