大学物理 ›› 2016, Vol. 35 ›› Issue (7): 14-16.

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对RL—C并联谐振电路阻抗最大值的研究

刘松山   

  1. 河南艺术职业学院 教务处,河南 郑州451464
  • 出版日期:2016-07-20 发布日期:2016-07-20
  • 作者简介:刘松山(1958一)男,河南郑卅人,河南艺术职业学院副教授,学士,主要从事电路理论教学与应用研究工作
  • 基金资助:
    河南省高等教育教学改革研究项目(2014SJGLX474)资助

Study of the maximum impedance value in the RL-C parallel resonant circuit

LIU Song—shan   

  1. Dean’S Office,Henan Arts Vocational College,Zhengzhou,Henan 451464,China
  • Online:2016-07-20 Published:2016-07-20

摘要: 对RL-C并联谐振电路,严格计算了电路阻抗模的最大值|Z|max与电路谐振时阻抗Z0的关系.提出并证明了判断Z0是极值的方法.分析了Z0与|Z|max之间的相对误差,这个相对误差随着电路品质因数的增大而减小,当电路的Q值在几十以上时,Z0与|Z|max的差别可以忽略,可近似认为该电路谐振时的阻抗Z0=L/RC是最大值.

关键词: 谐振电路, 阻抗, 极值

Abstract: For a RL—C parallel resonant circuit,the relation between the maximum impedance value |Z|max and the impedance of resonant Z0 is presented strictly.The discrimination method of Z0 to be an extreme value is proposed and proved.The relative error of Z0 to |Z|max is analyzed,the relative error decreases as the circuit quality factor increases.If the Q is large enough,the difference of Z0 and |Z|max should be negligible,in this case the cireuit resonant impedance Z0=L/RC arrives at the maximum value.

Key words: resonant circuit, impedance, extreme value