Resistance

Determination of Measurement Uncertainty

Calibration Range 1 Ω
Unit of Measurement = Ω
DUC Std. Resistance Box Sigma
Standard :Digital Multimeter used for calibration (6-1/2 Digit, Fluke / 8846A), Multi Fuction Calibrator
UncertaintyOf Standard(U1) DMM 0.00000380 V
Accuracy of Standard(U2) DMM 0.00001200 V
UncertaintyOf StandardMFC(U3) 0.00014678 A
Accuracy of Standard MFC(U4) 0.00004160 A
value of current 0.19996880 A
Type 'A' Evaluation
Measured/Observed Readings Measured/Observed Readings
V Ω mV
0.1999933 1.00012252 199.9933
0.1999934 1.00012302 199.9934
0.1999934 1.00012302 199.9934
0.1999933 1.00012252 199.9933
0.1999934 1.00012302 199.9934
0.1999933 1.00012252 199.9933
0.1999934 1.00012302 199.9934
0.1999933 1.00012252 199.9933
0.1999934 1.00012302 199.9934
0.1999934 1.00012302 199.9934
Avreage Ω 0.1999934 V
Avreage Ω 1.00012282 Ω #DIV/0!
std dev 0.000000258239 Ω

TypeA 0.000000081662 Ω
Uncertainity Budget
Probability Uncertainty Degree of
Sensitivity
Source Limits
Distribution Std. Uncert.(ui) Coeff. Contribution, Freedom,
± D xi
Ci
Type A or B ui(y)=ui*ci(Ω) vi
UncertaintyOf Type B
DMMStandard(V) 3.80E-06 Normal 0.00000190 5.0 0.000009501 ¥
(U1) 2
Accuracy of Type B
DMMStandard(V) 1.20E-05 Rectangular 0.00000600 5.0 0.000030005 ¥
(U2) √3
Type B
UncertaintyOf StandardMFC(U3)(A) 1.47E-04 Rectangular 0.000 5.0014 0.000367045 ¥
√3

Type B
Accuracy of Standard MFC(U4)(A) 4.16E-05 Rectangular 0.000 5.0014 0.000104017 ¥
√3
Type A
TypeA(Ω 8.16623974171793E-08 Normal 0.000 1 0.000000082 9
√n
Combined Uncertainty Uc= 0.000383 Ω
Effective Degree of freedom 4.35E+15
k= 2.000
Expanded Uncertainty(Ue)= 0.00076559 Ω
Expanded Uncertainty(Ue)= 0.08 %
Measured/Observed Readings
Measured/Observed Readings Error Uncertainity (%)
1.00012282 1.000 -0.00012282 0.08
 Resistance
Determination of Measurement Uncertainty
Calibration Range 0.001 Ω
Unit of Measurement = Ω
DUC Std. Resistance Box Sigma
Standard :Digital Multimeter used for calibration (6-1/2 Digit, Fluke / 8846A), Multi Fuction Calibrator
UncertaintyOf Standard(U1) DMM 0.00000069 V
Accuracy of Standard(U2) DMM 0.00000387 V
UncertaintyOf StandardMFC(U3) 0.00329962 A
Accuracy of Standard MFC(U4) 0.02749712 A
value of current 9.99884800 A
Type 'A' Evaluation
Measured/Observed Readings Measured/Observed Readings
V Ω mV
0.0099933 0.00099945 9.9933
0.0099934 0.00099946 9.9934
0.0099934 0.00099946 9.9934
0.0099933 0.00099945 9.9933
0.0099934 0.00099946 9.9934
0.0099933 0.00099945 9.9933
0.0099934 0.00099946 9.9934
0.0099933 0.00099945 9.9933
0.0099934 0.00099946 9.9934
0.0099934 0.00099946 9.9934
Avreage Ω 0.0099934 V
Avreage Ω 0.00099945 Ω #DIV/0!
std dev 0.000000005165 Ω

TypeA 0.000000001633 Ω
Uncertainity Budget
Probability Uncertainty Degree of
Sensitivity
Source Limits
Distribution Std. Uncert.(ui) Coeff. Contribution, Freedom,
± D xi
Ci
Type A or B ui(y)=ui*ci(Ω) vi
UncertaintyOf Type B
DMMStandard(V) 6.90E-07 Normal 0.00000035 0.1 0.000000035 ¥
(U1) 2
Accuracy of Type B
DMMStandard(V) 3.87E-06 Rectangular 0.00000194 0.1 0.000000194 ¥
(U2) √3
Type B
UncertaintyOf StandardMFC(U3)(A) 3.30E-03 Rectangular 0.002 0.0001 0.000000165 ¥
√3

Type B
Accuracy of Standard MFC(U4)(A) 2.75E-02 Rectangular 0.014 0.0001 0.000001374 ¥
√3
Type A
TypeA(Ω 1.63318130435388E-09 Normal 0.000 1 0.000000002 9
√n
Combined Uncertainty Uc= 0.000001 Ω
Effective Degree of freedom 4.83E+12
k= 2.000
Expanded Uncertainty(Ue)= 0.00000280 Ω
Expanded Uncertainty(Ue)= 0.28 %
Measured/Observed Readings
Measured/Observed Readings Error Uncertainity (%)
0.00099945 0.001 0.00000055 0.28
 -200 0 100 200 300 600
0.01 0.01 0.01 0.01 0.01 0.01
0.02 0.02 0.02 0.02 0.03 0.06
0.09 0.06 0.08 0.12 0.12 0.22
-199.80 0.10 100.00 199.90 499.70 799.60
-199.80 0.10 100.00 199.90 499.70 799.60
-199.80 0.10 100.00 199.90 499.70 799.60
-199.82 0.10 100.00 199.90 499.70 799.60
-199.80 0.10 100.00 199.90 499.70 799.60
-199.80 0.10 100.00 199.90 499.70 799.60
-199.80 0.10 100.00 199.90 499.70 799.60
-199.80 0.10 100.00 199.90 499.70 799.60
-199.80 0.10 100.00 199.90 499.70 799.60
-199.81 0.12 100.15 199.92 499.72 799.58
-199.80 0.10 100.02 199.90 499.70 799.60
0.00675 0.00632 0.04743 0.00632 0.00632 0.00632
0.00213 0.00200 0.01500 0.00200 0.00200 0.00200
0.010 0.010 0.010 0.010 0.015 0.030
0.003 0.003 0.003 0.003 0.003 0.003
0.052 0.035 0.046 0.069 0.069 0.127
0.053 0.036 0.050 0.070 0.071 0.131
0.11 0.07 0.10 0.14 0.14 0.26