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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.

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。

Utilizing Kirchhoff s current law(KCL),Kirchhoff s voltage law(KVL) and mathematical tools, a set of node current equations and a set of loop-voltage equations have been obtained and the independence between the two sets of equations has been verified, thus the calculation problem of equivalent self-inductance coefficient of non-mutual-inductance-coupli.

利用基尔霍夫第一定律、基尔霍夫第二定律以及数学工具,得到节点电流方程组和回路电压方程组,并证明两方程组间的相互独立性,解决无互感耦合的任意二端自感网络等效自感系数的计算问题。