U_∞与U_地的同一性讨论

DISCUSSION OF THE IDENTITY OF U_∞ AND U_(earth)

本文立意从Maxwell的电磁理论出发,对带电球导体的表面附近电势分布建立Laplace方程,在满足边界条件下,得出势函数U的Legendre多项式的表达式,对U进行讨论后,推广到球半径R→∞的情况下的U_∞与U_地的同一性.

Mainly based on Maxwell's electromagnetic theory, by setting up Laplace's equation in the distribution of electric force near the surface of the spherical conductor with electricity and under the condition of satisfying the borderline, the expressive formula of Legendre's multinomial of the potential function U can be obtained in this paper .Then, after discussing it, the U can be extended to the identity of U and U earth under the condition of spherical radius R