经典物理中新发现的几个小定理

SOME NEWLY FOUND MINOR THEOREMS IN THE CLASSICAL PHYSICS

本文简要介绍经典物理中新发现的几个小定理及其证明方法:(1)交/直流并联电源的一个等效定理及其推广;(2)N个并联耦合线圈的等效自感系数的一个定理;(3)静平衡共点力系统的一个几何定理;(4)一对倒置的镜像对称电流元的合成磁场及其应用;(5)凸柱体表面缠绕软绳的横向摩擦力的曲率无关性.

Some newly discovered minor theorems in classical physics and their proof methods are introduced in this paper. First, the equivalent power source for N parallel direct / alternating power sources. Second, the equivalent self-inductance coefficient of N coupled parallel coils. Third, a geometrical theorem about a spatial concurrent force system in equilibrium. Fourth, the synthetic magnetic field of a pair of current elements with inverted mirror symmetry. Fifth, the curvature independence of the transverse friction between a soft rope and the surface of a convex cylinder.