[Header]
Format=SMU
ver=3
appl=GUMWB32
MR=0
FUEB=0

[Title]
Title='Calibration of a nominal 10 kOhm standard resistor'
Description=14
Description[0]='The resistance of a four terminal standard resistor is determined by direct'
Description[1]='substitution using a long scale digital multimeter (7½digit DMM) on its'
Description[2]='resistance range, and a calibrated four terminal standard resistor of the same'
Description[3]='nominal value as the item to be calibrated as reference standard. The resistors'
Description[4]='are immersed in a well stirred oil bath operating at a temperature of 23 °C'
Description[5]='monitored by a centrally placed mercury-in-glass thermometer.'
Description[6]=''
Description[7]='The resistors are allowed to stabilise before the measurement. The four'
Description[8]='terminal connectors of each resistor are connected in turn to the terminals of'
Description[9]='the DMM. It is determined that the measuring current on the 10 kOhm range of'
Description[10]='the DMM of 100 µA is sufficiently low not to cause any appreciable self-heating'
Description[11]='of the resistors. The measuring procedure used also ensures that the effects of'
Description[12]='external leakage resistances on the result of measurement can be considered to'
Description[13]='be insignificant.'

[Model]
Model=1
Model[0]='R_X = ( R_S + \delta\R_D + \delta\R_TS ) × r_C × r - \delta\R_TX'

[Components]
CompOrder=3
Comp=7
Comp[0]=R_X_
Comp[1]=R_S_
Comp[2]=\delta\R_D_
Comp[3]=\delta\R_TS_
Comp[4]=r_C_
Comp[5]=r
Comp[6]=\delta\R_TX_

[COMP 0]
Type=Result
Definition='resistance of the unknown resistor'
Unit='\Omega\'
Description=0
Fcov=2
NomUnit=
UncUnit=
CovID=1
UncID=0
Vnom=10000.1780007665
Ustd=0.00832800405259282
Neff=5700
HB=1
HC=0
HR=1
IO=0

[COMP 1]
Type=TypBNormal
Definition='resistance of the reference'
Unit='\Omega\'
Description=3
Description[0]='REFERENCE STANDARD: The calibration certificate for the reference standard'
Description[1]='gives a resistance value of 10000,053 Ohm ±5 m\Omega\ (coverage factor k = 2)'
Description[2]='at the specified reference temperature of 23 °C.'
Vnom=10000.053
Uexp=5E-3
Fcov=2

[COMP 2]
Type=TypBRectang
Definition='change of the resistance of the reference since its last calibration due to drift'
Unit='\Omega\'
Description=3
Description[0]='DRIFT OF THE STANDARD: The drift of the resistance of the reference resistor'
Description[1]='since its last calibration is estimated from its calibration history to be +20'
Description[2]='m\Omega\ with deviations within ±10 m\Omega\.'
Vnom=+20E-3
Hlim=10E-3

[COMP 3]
Type=TypBRectang
Definition='temperature related resistance deviation of the reference'
Unit='\Omega\'
Description=7
Description[0]='TEMPERATURE CORRECTION: The temperature of the oil bath is monitored with a'
Description[1]='calibrated thermometer to be 23.00 °C. Deviations from this value have been'
Description[2]='estimated to be within ±0.055 K, including temperature gradients in the oil'
Description[3]='bath. Thus the known value 5.0·10^-6 K^-1 of the temperature coefficient (TC)'
Description[4]='of the reference resitor gives limits ±2,75 m\Omega\ for the deviation from its'
Description[5]='resistance value according to calibration, due to a possible deviation from the'
Description[6]='operating temperature.'
Vnom=0
Hlim=2.75E-3

[COMP 4]
Type=TypBTriangl
Definition='correction factor for parasitic voltages and instrument resolution'
Unit=''
Description=7
Description[0]='RESISTANCE MEASUREMENTS: Since the same DMM is used to observe both and the'
Description[1]='uncertainty contributions are correlated but the effect is to reduce the'
Description[2]='uncertainty and it is only necessary to consider the relative difference in the'
Description[3]='resistance readings due to systematic effects such as parasitic voltages and'
Description[4]='instrument resolution, which are estimated to have limits of ±0,5E-6 for each'
Description[5]='reading. The distribution resulting for the ratio r_C is triangular with'
Description[6]='expectation 1,000 000 0 and limits ±1,0E-6.'
Vnom=1.0
Hlim=1.0E-6

[COMP 5]
Type=TypAExper
Definition='=R_iX/R_iS ratio of the indicated resistance for the unknown resistor and the reference resistor'
Unit=''
Description=0
Observations=5
Reading=5
Reading[0]=1.0000104
Reading[1]=1.0000107
Reading[2]=1.0000106
Reading[3]=1.0000103
Reading[4]=1.0000105
Mode=0
MinObs=5

[COMP 6]
Type=TypBRectang
Definition='temperature-related resistance deviation of the unknown resistor'
Unit='\Omega\'
Description=6
Description[0]='TEMPERATURE CORRECTION: The temperature of the oil bath is monitored with a'
Description[1]='calibrated thermometer to be 23.00 °C. Deviations from this value have been'
Description[2]='estimated to be within ±0.055 K, including temperature gradients in the oil'
Description[3]='bath. From the manufacturor 10.0·10-6 K^-1, thus the resistance variations of'
Description[4]='the unknown resitor due to a temperature variation is estimated to be within'
Description[5]='±5,5 m\Omega\'
Vnom=0
Hlim=5.5E-3

[Correlations]
Description=0