2×n阶LC网络等效复阻抗研究.pdf

Modern Physics 现代物理, 2012, 2, 15-20 /10.12677/mp.2012.22003 Published Online May 2012 (/journal/mp) A General Study on Equivalent Resistance of 2 × n-Rank LC * Network 1 2 Dehua Wang , Zhizhong Tan 1Suzhou Medical Vocational and Technical College, Suzhou 2College of Science, Nantong University, Nantong Email: dhwang@, tanz@ Received: Mar. 2nd, 2012; revised: Mar. 27th, 2012; accepted: Mar. 29th, 2012 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. Keywords: 2 × n-Rank Network; Equivalent Resistance; Complex Analysis; General Formulae; Oscillation; Chaotic Characteristics 2 × n 阶LC 网络等效复阻抗研究* 1 2 王德华 ，谭志中 1 苏州卫生职业技术学院，苏州 2 南通大学理学院，南通 Email: dhwang@, tanz@ 收稿日期：2012 年 3 月 2 日；修回日期：2012 年 3 月 27 日；录用日期：2012 年 3 月 29 日 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