任意无源二端电容网络的等效电容

Equivalent Capacitance of Arbitrary Passive Two-End Capacitance Network

探讨了任意无源二端电容网络等效电容的一般计算方法。利用电荷守恒定律、静电场的环路定理以及数学归纳法等数学工具,得到了零电量方程组和回路电压方程组,证明了两方程组间的相互独立性,从而解决了任意无源二端电容网络等效电容的计算问题。

The general calculation method of equivalent capacitance of arbitrary passive two-end capacitance has been studied. Based on the charge conservation law, electrostatic field loop theorem and mathematic inductive methods, a set of zero-charged equations and a set of loop-voltage equations have been obtained and the independence between the two sets of equations has been verified, and thus the calculation problem of equivalent capacitance of the arbitrary passive two-end capacitance network has been solved.