大学物理 ›› 2019, Vol. 38 ›› Issue (6): 13-.doi: 10.16854 /j.cnki.1000-0712.180520

• 教学讨论 • 上一篇    下一篇

RLC 耦合回路的另一种描述

黄万霞,叶欢,尹杰,汪茂胜   

  1. 安徽师范大学物理与电子信息学院,安徽芜湖241002
  • 收稿日期:2018-09-16 修回日期:2018-11-15 出版日期:2019-06-20 发布日期:2019-07-02
  • 作者简介:黄万霞( 1976—) ,女,安徽安庆人,安徽师范大学物理与电子信息学院副教授,博士,主要从事大学物
  • 基金资助:
    国家自然科学基金( 11304002) ; 大学物理教学团队( 2016jxtd049) 资助

Another description of RLC coupling loop

HUANG Wan-xia,YE Huan,YIN Jie,WANG Mao-sheng   

  1. College of Physics and Electronic Information,Anhui Normal University,Wuhu,Anhui 241002,China
  • Received:2018-09-16 Revised:2018-11-15 Online:2019-06-20 Published:2019-07-02

摘要: 一般采用两个谐振子模型来描述RLC 回路.然而两个谐振子模型是两个二阶微分方程,求解起来比较复杂.为此我

们针对RLC 回路体系,理论上和实验上研究了一阶微分方程的耦合模理论与两个谐振子模型之间的关联.研究表明耦合模理

论可以推广到电路体系.

关键词: RLC 回路, 耦合, 两个谐振子模型, 耦合模理论

Abstract: We use the two-oscillator model to describe the coupling between the RLC loops. However,the two -oscillator model is described by two second-order differential equations,the solving process is complicated. Therefore, for RLC coupling loop,we study theoretically and experimentally the correlation between the coupled-mode theory ( CMT) of the first-order differential equations and the two-oscillator model of second-order equations. The result shows the CMT can generalize the electric circuit system.

Key words: RLC loop, coupling, two-oscillator model, coupled-mode theory