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Determination of the unit of resistance and the von Klitzing constant R k based on a calculable capacitor

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Abstract

The calculable cross capacitor according to Thompson and Lampard allows the unit of capacitance, the farad, and thus the unit of resistance, the ohm, and the von Klitzing constant R k to be determined in SI units with high accuracy. The underlying electrostatic theorem and the design criteria of a cross capacitor are described, and the influence of imperfections of the electrode system are discussed. The main components of the measuring chain from the farad to the ohm are illustrated.

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Authors and Affiliations

  1. Physikalisch-Technische Bundesanstalt, Braunschweig, 38116, Braunschweig, Germany

    H. Bachmair

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  1. H. Bachmair
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Bachmair, H. Determination of the unit of resistance and the von Klitzing constant R k based on a calculable capacitor. Eur. Phys. J. Spec. Top. 172, 257–266 (2009). https://doi.org/10.1140/epjst/e2009-01053-3

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  • DOI: https://doi.org/10.1140/epjst/e2009-01053-3

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