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Definition of Impedance and Impedance of Electrical Circuits

  • Andrzej Lasia
Chapter

Abstract

To understand the impedance of electrochemical objects, it is necessary to understand the behavior of simple electrical circuits, first in steady state, then in transient conditions. Such circuits contain simple linear electrical elements: resistance, capacitance, and inductance. Then the concept of electrical impedance will be introduced. It demands an understanding of the Laplace and Fourier transforms, which will also be presented. To understand impedance, it is necessary to thoroughly understand the complex plane and Bode plots, which will be presented for a few typical connections of these elements. They can be computed using Excel, Maple, Mathematica, and specialized programs such as ZView. Several examples and exercises will be included.

Keywords

Fast Fourier Transform Phase Angle Cosine Function Impedance Plot Total Impedance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    G.A. Korn, T.M. Korn, Mathematical Handbook for Scientists and Engineers, 2nd edn. (McGraw Hill, New York, 1968)Google Scholar
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    P.A. McCollum, B.F. Brown, Laplace Transform and Theorems (Holt, Reinhart and Winston, New York, 1965)Google Scholar
  3. 75.
    E.O. Brigham, The Fast Fourier Transform (Prentice-Hall, Englewood Cliffs, 1974)Google Scholar
  4. 77.
    C-T. Cheng, One-Dimensional Digital Signal Processing (Marcel Dekker, New York, 1979)Google Scholar
  5. 78.
    N.E. Hill, W.E. Vaughan, A.H. Price, M. Davies, Dielectric Properties and Molecular Behaviour (Van Nostrand Reinhold, London, 1969)Google Scholar
  6. 79.
    B.A. Boukamp, Equivalent Circuit. User Manual, 2nd edn. (University of Twente, The Netherlands, 1989)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Andrzej Lasia
    • 1
  1. 1.Département de chimieUniversité de SherbrookeSherbrookeCanada

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