2 × n阶LC网络等效复阻抗研究

A General Study on Equivalent Resistance of 2 × n-Rank LC Network

摘要: 复阻抗网络等效复阻抗的研究通常比较复杂，本文基于已获得的2 × n阶纯电阻网络等效电阻的普适规律，对2 × n阶网络等效复阻抗进行了详细研究，根据等效电阻规律的复数分析，得到了2 × n阶LC网络输入端等效复阻抗的一系列普适规律，获得了一些新的结论，研究发现在一定条件下等效复阻抗随阶数n变化而具有振荡特性和混沌特性。

Abstract: The research in equivalent resistance of resistance network is usually quite complex. Based on the acquired universal law of pure 2 × n-rank equivalent resistance, a detailed study of the equivalent resistance of 2 × n-rank has been made. The complex analysis on the basis of the equivalent resistance law provides a series of general formulae of input equivalent resistance in 2 × n-rank LC network. A new conclusion has been reached: under certain conditions, the equivalent resistance has the feature of oscillation and chaotic with the change of variable n.