Simple resistance standard with calculable time constant

This paper describes a simple, affordable and easily replicable 10 Ω resistance standard with calculable frequency dependence and time constant. The resistor is a bifilar type made from an enameled manganin wire. A time constant of 6.05 ns with uncertainty of 0.53 ns was calculated and verified by comparison with another calculable resistance standard. A calculated and measured ac-dc difference of a resistance is smaller than -150μΩ/Ω with an uncertainty 270μΩ/Ω at 1 MHz (coverage factor k = 2). The same design can be used for resistances at least in range of 5 Ω up to 70 Ω.

[1]  H. Aebischer,et al.  Improved Formulae for the Inductance of Straight Wires , 2014 .

[2]  Glenn S. Smith.  A simple derivation for the skin effect in a round wire , 2014 .

[3]  Yu. P. Semenov,et al.  Resistors With Calculable Frequency Dependencies Up to 1 MHz , 2007, IEEE Transactions on Instrumentation and Measurement.

[4]  Stanislav Maslan,et al.  Digital Sampling Setup for Measurement of Complex Voltage Ratio , 2017, IEEE Transactions on Instrumentation and Measurement.

[5]  D.L.H. Gibbings,et al.  A design for resistors of calculable a.c./d.c. resistance ratio , 1963 .

[6]  Stanislav Maslan,et al.  Digital sampling setup for measurement of complex voltage ratio , 2016, 2016 Conference on Precision Electromagnetic Measurements (CPEM 2016).