Characteristic of the equivalent impedance for an m×n RLC network with an arbitrary boundary

  • Zhi-zhong Tan
  • Hong Zhu
  • Jihad H. Asad
  • Chen Xu
  • Hua Tang


Considerable progress has been made recently in the development of techniques to determine exactly two-point resistances in networks of various topologies. In particular, a general resistance formula of a non-regular m×n resistor network with an arbitrary boundary is determined by the recursion-transform (RT) method. However, research on the complex impedance network is more difficult than that on the resistor network, and it is a problem worthy of study since the equivalent impedance has many different properties from equivalent resistance. In this study, the equivalent impedance of a non-regular m×n RLC network with an arbitrary boundary is studied based on the resistance formula, and the oscillation characteristics and resonance properties of the equivalent impedance are discovered. In the RLC network, it is found that our formula leads to the occurrence of resonances at the boundary condition holding a series of specific values with an external alternating current source. This curious result suggests the possibility of practical applications of our formula to resonant circuits.

Key words

RLC network Resonance properties Oscillation characteristics Amplitude-frequency 

CLC number

O441.1 TN711.3 


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Copyright information

© Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of PhysicsNantong UniversityNantongChina
  2. 2.College of ScienceChangzhou Institute of TechnologyChangzhouChina
  3. 3.Department of PhysicsPalestine Technical UniversityTulkarmPalestine
  4. 4.School of Electronics and InformationNantong UniversityNantongChina
  5. 5.Department of PhysicsYunhe Teachers CollegePizhouChina

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