二端RC梯形网络的等效复阻抗研究  

Study on equivalent complex impedance between two terminal nodes in the RC ladder network

作　　者：方靖淮[1] 李红兵[1] 谭志中[1] 

机构地区：[1]南通大学理学院,江苏南通226019

出　　处：《大学物理》2016年第5期14-18,共5页College Physics

基　　金：江苏省产学研联合创新资金-前瞻性联合研究项目(BY2014081-06);江苏省高校自然科学研究面上项目(14KJB140012)资助课题;南通大学教学改革研究项目(2014B9)资助

摘　　要：复阻抗网络不同于纯电阻网络,其电路元件的变化对等效复阻抗带来的影响比较大.本文采用建立非线性差分方程模型的方法研究了二端梯形RC复阻抗网络的等效复阻抗公式.根据可能存在的不同条件,采用复数分析方法研究了RC梯形网络的等效复阻抗在不同条件下的普适规律,自然地得到纯电容网络的等效电容公式.The complex impedance network is different from the pure resistance network,and the change of the circuit element has a great influence on the equivalent complex impedance. In this paper,the equivalent complex impedance formula of the two terminal RC complex impedance network is studied by using the method of establishing the model of nonlinear difference equation. According to the different conditions of the potential,the universal formula of the equivalent complex impedance of RC ladder network under different conditions is studied by using the complex analysis method,and the equivalent capacitance formula of pure capacitance network is obtained naturally.

关 键 词：RC梯形网络 非线性差分方程 等效复阻抗 普适规律 

分 类 号：O441.1[理学—电磁学] TN711.3[理学—物理]