Calibration of 10 nF Capacitance Standard from dc QHR using a Digital Impedance Bridge

This paper describes a calibration method for 10 nF capacitance standard from the primary standard of dc quantum Hall resistance using a multi-purpose digital coaxial bridge. The capacitance standard of 10 nF was calibrated by a direct comparison against the ac resistance standard of $10\ \mathrm{k}\Omega$ —its resistance value is traced to the quantum Hall resistance—using the digital bridge in the fully digital quadrature mode. The preliminary calibration value of the 10 nF was confirmed by comparing with a reference capacitance standard within uncertainty level of 10−6.