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Impedance Hodograph for the Parallel RC Circuit with Alternating Active Resistance

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Abstract

The impedance of the RC circuit in which the active resistance depends on the applied dc voltage is considered. It is shown that in this case, the dependence of the impedance on the applied voltage is described by a hodograph of a new type, namely, a semicircumference pressed to the imaginary axis. The calculated and experimental hodographs that confirm the above assumptions are shown. It is demonstrated that the similarity and differences in the form of hodographs for cases R(U)C and RC (R = const) reflect the relationship between the functionally related values presented on the complex plane.

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REFERENCES

  1. Grafov, B.M. and Ukshe, E.A., Electrochemical circuits of the alternative current, Usp. Khim., 1975, vol. 44, no. 11, p. 1979

    Article  CAS  Google Scholar 

  2. Ukshe, E.A. and Bukun, N.G. Tverdye elektrolity (Solid Electrolytes), Moscow: Nauka, 1977.

  3. Sluyters, J.H., Rec. Trav. Chim., 1960, vol. 79, p. 1092.

    Article  CAS  Google Scholar 

  4. Sluyters, J.H. and Oomen, J.J.C., Rec. Trav. Chim., 1960, vol. 79, p. 1101.

    Article  CAS  Google Scholar 

  5. Bonch-Bruevich, V.L. and Kalashnikov, C.G., Fizika poluprovodnikov (Physics of Semiconductors, Moscow: Nauka, 1977.

  6. Lavrent’ev, M.A. and Shabat, B.V., Metody teorii funktsii kompleksnogo peremennogo (Methods of the Theory of Functions of a Complex Variable), Moscow: Nauka, 1987.

  7. Lavrik, V.I. and Savenkov, V.N., Spravochnik po konformnym otobrazheniyam (Handbook of Conformal Maps), Kiev: Naukova Dumka, 1970.

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Authors and Affiliations

  1. Ioffe Physical Technical Institute, St. Petersburg, Russia

    M. E. Kompan & V. G. Malyshkin

Authors
  1. M. E. Kompan
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  2. V. G. Malyshkin
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Correspondence to M. E. Kompan or V. G. Malyshkin.

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The authors declare that they have no conflict of interest.

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Translated by T. Safonova

Based on the materials of the report at the 15th International Meeting “Fundamental Problems of Solid State Ionics,” Chernogolovka, 30.11.–07.12.2020.

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Kompan, M.E., Malyshkin, V.G. Impedance Hodograph for the Parallel RC Circuit with Alternating Active Resistance. Russ J Electrochem 57, 949–952 (2021). https://doi.org/10.1134/S1023193521080061

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  • DOI: https://doi.org/10.1134/S1023193521080061

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