Comparison of a Resistance Ratio and Voltage Ratio of the KRISS 1-kV Resistive Voltage Divider Traceable to Quantum-Based National Standards

Either a volt-ratio box (VRB) can be used for the accurate measurement of high DC voltages, the voltage ratio or resistance ratio of a VRB. In this paper, we present an evaluation of the voltage ratio and resistance ratio of a VRB for three 10:1 ratio ranges (1500 V:150 V, 150 V:15 V, and 15 V:1.5 V) with different resistance values. We found that the voltage ratios and resistance ratios agreed down to the 0.1 × 10 −6 level. We therefore suggest that either of the two references can be adopted when using the VRB as a reference voltage divider offering measurement accuracies within 0.1 × 10 −6 . In addition, the results imply that the voltage ratio and the resistance ratio, which relate to the quantum Hall resistance standard and the Josephson voltage standard, respectively, both involve quantum phenomena at the level of 0.15 × 10 −6 , with an uncertainty of one standard deviation.