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The impedance of a spherical monopolar electrode

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Abstract

The impedance of a monopolar electrode immersed in an environmental volume conductor consists of two parts; the impedance of the active electrode-electrolyte interface, and the resistance of the environmental conductor. Two studies were carried out to quantitate these components. First, impedance-frequency data were collected for five spherical stainless-steel electrodes (ranging from 0.473 to 1.11 cm in diameter) immersed in 0.9% saline (ρ=70 Ω-cm). Impedance measurements were made from 100 Hz to 100 kHz and two sets of data were obtained; one before and one after each electrode was polished with fine emery paper. At low frequency, the measured impedances were high and varied with electrode surface preparation. However, above a transition frequency, the impedances were resistive, independent of the electrode surface preparation, and equal to ρ/2πd as predicted from the theory. This study indicates that the low frequency impedance of a monopolar electrode is dominated by the impedance of the electrode-electrolyte interface. Above a transition frequency, the resistance of the environmental conductor dominates, the value of this resistance depending on the electrode geometry and the resistivity (ρ) of the environmental conductor. A second study was conducted, to examine the effect of the distance to the indifferent electrode. A frequency (100 kHz) above the transition frequency was used and impedance data were collected for various distances between the monopolar and indifferent electrodes. The measured resistance increased asymptotically as the distance between the electrodes was increased. When the indifferent electrode diameter was at least 10 times the diameter of the spherical monopolar electrode, the measured resistance was within 5% of the value predicted for an indifferent electrode at infinity.

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References

  1. Geddes, L.A.; Baker, L.E. Principles of applied biomedical instrumentation. 3rd ed. New York: Wiley Interscience; 1989: pp. 315–444.

    Google Scholar 

  2. Geddes, L.A.; DaCosta, C.P.; Wise, G. The impedance of stainless steel electrodes. Med. & Biol. Eng. & Comput. 9:511–521; 1971.

    CAS  Google Scholar 

  3. Jaron, D.; Briller, S.A.; Schwan, H.P.; Geselowitz, D. Nonlinearity of pacemaker electrodes. IEEE Trans. Biomed. Eng. BME-16:132–138; 1969.

    CAS  Google Scholar 

  4. Onaral, B.; Schwan, H.P. Linear and nonlinear properties of platinum electrode polarization. Part I: Frequency dependence at very low frequencies. Med. & Biol. Eng. & Comput. 20:299–306; 1982.

    CAS  Google Scholar 

  5. Onaral, B.; Schwan, H.P. Linear and nonlinear properties of platinum electrode polarization. Part II: Time domain analysis. Med. & Biol. Eng. & Comput. 21:210–216; 1983.

    CAS  Google Scholar 

  6. Onaral, B.; Schwan H.P.; Sun, H.H. Platinum electrode polarization: Onset of nonlinear behavior in the frequency and time domains. IEEE Front. Eng. Health Care: 516–519; 1982.

  7. Ragheb, T.; Geddes, L.A. The electrical properties of metallic electrodes. Med. & Biol. Eng. & Comput. 28:182–186; 1990.

    CAS  Google Scholar 

  8. Ragheb, T.; Geddes, L.A. The polarization impedance of common electrode metals operated at low current density. Ann. Biomed. Eng. 19:151–163; 1991.

    Article  CAS  PubMed  Google Scholar 

  9. Schwan, H.P. Determination of biological impedance. In: Nastuk, W.L., ed. Physical techniques in biological research. Vol. 6. New York: Academic Press; 1963: pp. 323–407.

    Google Scholar 

  10. Schwan, H.P. Electrode polarization in ac steady-state impedance studies of biological systems. Dig. 6th Int. Conf. Med. Elec. & Biol. Eng. Tokyo, Japan; 1965: pp. 33–1.

  11. Schwan, H.P. Electrode polarization impedance and measurements in biological materials. In: Feder, W., ed. Bioelectrodes. New York: Ann. N.Y. Acad. Sci. 148(1):191–209; 1968.

    Google Scholar 

  12. Schwan, H.P.; Maczuk, J.G. Electrode polarization impedance: Limits of linearity. Proc. 18th Ann. Conf. Eng. in Med. & Biol.; 1965.

  13. Warburg, E. Ueber das verhalten sogenannter unpolarisierbarere elektroden gegen wechselstrom. Ann. Physik and Chemie. 67:493–499; 1899.

    Google Scholar 

  14. Warburg, E. Ueber due polarisationscapacitat des platins. Ann. Physik und Chemie. 6:125–135; 1901.

    CAS  Google Scholar 

  15. Weinman, J.; Mahler, J. An analysis of electrical properties of metal electrodes. Med. Elec. & Biol. Eng. 2:299–310; 1963.

    Google Scholar 

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Ragheb, T., Riegle, S., Geddes, L.A. et al. The impedance of a spherical monopolar electrode. Ann Biomed Eng 20, 617–627 (1992). https://doi.org/10.1007/BF02368609

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  • DOI: https://doi.org/10.1007/BF02368609

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