现代物理

Vol.2 No.2 (May 2012)

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

 

作者:

王德华 :苏州卫生职业技术学院

谭志中 :南通大学理学院

 

关键词:

2 × n阶网络等效复阻抗复数分析普适规律振荡特性混沌特性2 × n-Rank Network Equivalent Resistance Complex Analysis General Formulae Oscillation Chaotic Characteristics

 

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。

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.

文章引用:

王德华 , 谭志中 (2012) 2 × n阶LC网络等效复阻抗研究。 现代物理, 2, 15-20. doi: 10.12677/mp.2012.22003

 

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