CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Coil constant of a DC transfer standard
To view the Graph of equivalence showing degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2), click here.
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 50 Hz
Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2)
Red diamonds: participants in CCEM.M-K1
Blue circles: participants in EUROMET.EM.M-K1 only
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 1 kHz
Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2)
Red diamonds: participants in CCEM.M-K1
Blue circles: participants in EUROMET.EM.M-K1 only
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 5 kHz
Degrees of equivalence D_{i} and expanded uncertainty U_{i} (k = 2)
Red diamonds: participants in CCEM.M-K1
Blue circles: participants in EUROMET.EM.M-K1 only
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Coil constant of a DC transfer standard
Lab i | D_{i} | U_{i} |
/ 10^{-6} | / 10^{-6} | |
KRISS | -7.8 | 8 |
VNIIM | 0.8 | 2.2 |
NMIA | 365 | 860 |
UME | 15000 | 556 |
NPL | 30.3 | 146 |
IEN | -281 | 444 |
NIM | -10.2 | 17.2 |
CMI | 38.2 | 70 |
CENAM | 1162 | 124 |
PTB | 2.4 | 5.4 |
CENAM_{PTB} | 35.6 | 64 |
MIRS/FE-LMK | -16.2 | 131 |
BNM-LCIE | 3600 | 5000 |
NMi-VSL | -1630 | 3000 |
In blue: participants in EUROMET.EM.M-K1.
CENAM_{PTB}: measurements made at PTB with the CENAM flowing water instrument
Results are presented under A4 printable format in Summary Results (.PDF file).
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 50 Hz
Lab i | D_{i} | U_{i} |
/ 10^{-2} | / 10^{-2} | |
KRISS | -0.032 | 0.16 |
VNIIM | -0.022 | 0.14 |
UME | 0.036 | 0.8 |
NPL | 0.028 | 0.4 |
IEN | 0.028 | 0.32 |
NIM | 0.108 | 0.44 |
CMI | 0 | 0.06 |
PTB | 0.016 | 0.08 |
NMi-VSL | -0.03 | 0.41 |
MIRS/FE-LMK | 0 | 0.39 |
STUK | 0.22 | 1.84 |
In blue: participants in EUROMET.EM.M-K1.
Results are presented under A4 printable format in Summary Results (.PDF file).
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 1 kHz
Lab i | D_{i} | U_{i} |
/ 10^{-2} | / 10^{-2} | |
KRISS | 0.036 | 0.16 |
VNIIM | -0.004 | 0.14 |
NPL | -0.11 | 0.4 |
IEN | 0.046 | 0.32 |
NIM | 0.276 | 0.44 |
CMI | -0.006 | 0.06 |
PTB | -0.006 | 0.08 |
NMi-VSL | -0.22 | 0.43 |
MIRS/FE-LMK | -0.03 | 0.41 |
In blue: participants in EUROMET.EM.M-K1.
Results are presented under A4 printable format in Summary Results (.PDF file).
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 5 kHz
Lab i | D_{i} | U_{i} |
/ 10^{-2} | / 10^{-2} | |
KRISS | 0.02 | 0.26 |
VNIIM | 0.01 | 0.14 |
NPL | -0.12 | 0.41 |
IEN | 0.06 | 0.32 |
NIM | 0.276 | 0.44 |
CMI | 0.08 | 0.12 |
PTB | -0.005 | 0.16 |
NMi-VSL | -0.12 | 0.52 |
MIRS/FE-LMK | -0.04 | 0.58 |
In blue: participants in EUROMET.EM.M-K1.
Results are presented under A4 printable format in Summary Results (.PDF file).
Metrology area, Sub-field | Electricity and Magnetism, Magnetism |
Description | Comparison of low frequency magnetic flux density |
Time of measurements | 1998 - 2000 |
Status | Approved for equivalence |
Final Reports of the comparisons | |
Measurand | Magnetic flux density |
Parameters | Frequency: DC to 20 kHz |
Transfer device | Two coil systems |
Comparison type | Key Comparison |
Consultative Committee | CCEM (Consultative Committee for Electricity and Magnetism) |
Conducted by | EURAMET (European Association of National Metrology Institutes) |
RMO Internal Identifier | EUROMET Project No 446 |
Comments | Publication of CCEM.M-K1 and EUROMET.EM.M-K1 results on 27 May 2005 Coil constant of a DC transfer standard and its variation with frequency EUROMET.EM.M-K1 results are linked to those of CCEM.M-K1 for DC measurements, and at frequencies 50 Hz, 1 kHz, and 5 kHz |
Pilot institute |
PTB
Physikalisch-Technische Bundesanstalt Germany |
Contact person | K. Weyand +49 (0) 531 592 2240 |
This page proposes print-out on A4 paper (portrait) of the comparison details (best printed out using a black and white printer).
Please, select items to be printed out, then click on "OK" :
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Coil constant of a DC transfer standard
The key comparison reference value, k_{R}, is obtained as the weighted average of the results of 6 participants (see on pages 5 and 6 of the Final Report): k_{R} = 2.024 129 mT/A, with relative standard uncertainty u_{R} = 5.75 10^{-6}. |
The degree of equivalence of each laboratory i with respect to the reference value is given by a pair of terms both expressed in relative units: D_{i} = (k_{i}/k_{R}) - 1, and U_{i}, its expanded uncertainty (k = 2), with U_{i} = 2u_{i}. Due to the fairly large value of the expanded uncertainty (k = 2) of the key comparison reference value (11.5 10^{-6}) with respect to the expanded uncertainty of some of the participants, u_{R} is not included in the U_{i}'s calculation. |
The degree of equivalence between two laboratories i and j is given by a pair of terms both expressed in relative units: D_{ij} = (k_{i} - k_{j})/k_{R} and U_{ij}, its expanded uncertainty (k = 2), U_{ij} = 2(u_{i}^{2} + u_{j}^{2})^{1/2}. |
The link is computed from the results of the common participants, CMI, NPL, and PTB, which used NMR methods and thus provided the lowest uncertainty budgets. For each of these laboratories the ratio of their results obtained in CCEM.M-K1 to those obtained in EUROMET.EM.M-K1 is calculated. The weighted mean of these ratio values provides a factor, F, used to transfer the participants' results obtained in EUROMET.EM.M-K1 to CCEM.M-K1 (see Linkage Report): F = 1.0001861 with expanded uncertainty (k = 2) U_{F} = 17.8 10^{-6}. |
The degree of equivalence of each laboratory i participant in EUROMET.EM.M-K1 only with respect to the CCEM.M-K1 reference value is given by a pair of terms both expressed in relative units: D_{i} = (Fk_{i}/k_{R}) - 1, and U_{i}_{ }its expanded uncertainty (k = 2), U_{i}_{ }= 2[u_{i}^{2} + (U_{F}/2)^{2}]^{1/2}. |
The degree of equivalence between one laboratory i participating in EUROMET.EM.M-K1 and one laboratory j participating in CCEM.M-K1 is given by a pair of terms both expressed in relative units: |
These statements make it possible to extend the CCEM.M-K1 matrix of equivalence to participants in EUROMET.EM.M-K1.
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 50 Hz
A curve P(f) is fitted by means of partial polynomial least squares adjustment on the values Q_{i}(f) provided by all participants except UME and NIM (see page 8 and Figure 6 of the Final Report). Interpretation of the results in terms of equivalence is carried out for four nominal frequencies: 50 Hz, 1 kHz, 5 kHz, and 20 kHz. The key comparison reference value is P(f). |
The degree of equivalence of laboratory i with respect to the reference value is given by a pair of terms both expressed in relative units: D_{i} = [Q_{i}(f)/P(f)] - 1, and U_{i}, its expanded uncertainty (k = 2), with U_{i} = 2u_{i}. Due to the fairly large value of the expanded uncertainty (k = 2) of the key comparison reference value with respect to the expanded uncertainty of some of the participants, it is not included in the U_{i}'s calculation. |
The degree of equivalence between two laboratories i and j is given by a pair of terms both expressed in relative units: D_{ij} = [Q_{i}(f)/Q_{j}(f)] - 1_{} and U_{ij}, its expanded uncertainty (k = 2), U_{ij} = 2(u_{i}^{2} + u_{j}^{2})^{1/2}. |
The link is computed from the results of the four common participants, CMI, NPL, IEN and PTB. For each of these laboratories the ratio of their results obtained in CCEM.M-K1 to those obtained in EUROMET.EM.M-K1 is calculated. For f = 50 Hz, F(f) = 1.0000 with expanded uncertainty U_{F} = 0.36 %. |
The degree of equivalence of each laboratory i participant in EUROMET.EM.M-K1 only with respect to the CCEM.M-K1 reference value is given by a pair of terms both expressed in relative units: D_{i} = [F(f)Q_{i}(f)/P(f)] - 1, and U_{i}, its expanded uncertainty (k = 2), with U_{i} = 2[u_{i}^{2} + (U_{F}/2)^{2}]^{1/2} (see Linkage Report). |
The degree of equivalence between one laboratory i participating in EUROMET.EM.M-K1 and one laboratory j participating in CCEM.M-K1 is given by a pair of terms both expressed in relative units: D_{ij} = [F(f)Q_{i}(f)/Q_{j}(f)] - 1_{} and U_{ij}, its expanded uncertainty (k = 2), U_{ij} = 2[(U_{i}/2)^{2} + u_{j}^{2}]^{1/2}. |
These statements make it possible to extend the CCEM.M-K1 matrix of equivalence to participants in EUROMET.EM.M-K1.
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 1 kHz
A curve P(f) is fitted by means of partial polynomial least squares adjustment on the values Q_{i}(f) provided by all participants except UME and NIM (see page 8 and Figure 6 of the Final Report). Interpretation of the results in terms of equivalence is carried out for four nominal frequencies: 50 Hz, 1 kHz, 5 kHz, and 20 kHz. The key comparison reference value is P(f). |
The degree of equivalence of laboratory i with respect to the reference value is given by a pair of terms both expressed in relative units: D_{i} = [Q_{i}(f)/P(f)] - 1, and U_{i}, its expanded uncertainty (k = 2), with U_{i} = 2u_{i}. Due to the fairly large value of the expanded uncertainty (k = 2) of the key comparison reference value with respect to the expanded uncertainty of some of the participants, it is not included in the U_{i}'s calculation. |
The degree of equivalence between two laboratories i and j is given by a pair of terms both expressed in relative units: D_{ij} = [Q_{i}(f)/Q_{j}(f)] - 1_{} and U_{ij}, its expanded uncertainty (k = 2), U_{ij} = 2(u_{i}^{2} + u_{j}^{2})^{1/2}. |
The link is computed from the results of the four common participants, CMI, NPL, IEN and PTB. For each of these laboratories the ratio of their results obtained in CCEM.M-K1 to those obtained in EUROMET.EM.M-K1 is calculated. For f = 1 kHz, F(f) = 0.9978 with expanded uncertainty U_{F} = 0.38 %. |
The degree of equivalence of each laboratory i participant in EUROMET.EM.M-K1 only with respect to the CCEM.M-K1 reference value is given by a pair of terms both expressed in relative units: D_{i} = [F(f)Q_{i}(f)/P(f)] - 1, and U_{i}, its expanded uncertainty (k = 2), with U_{i} = 2[u_{i}^{2} + (U_{F}/2)^{2}]^{1/2} (see Linkage Report). |
The degree of equivalence between one laboratory i participating in EUROMET.EM.M-K1 and one laboratory j participating in CCEM.M-K1 is given by a pair of terms both expressed in relative units: D_{ij} = [F(f)Q_{i}(f)/Q_{j}(f)] - 1_{} and U_{ij}, its expanded uncertainty (k = 2), U_{ij} = 2[(U_{i}/2)^{2} + u_{j}^{2}]^{1/2}. |
These statements make it possible to extend the CCEM.M-K1 matrix of equivalence to participants in EUROMET.EM.M-K1.
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 5 kHz
A curve P(f) is fitted by means of partial polynomial least squares adjustment on the values Q_{i}(f) provided by all participants except UME and NIM (see page 8 and Figure 6 of the Final Report). Interpretation of the results in terms of equivalence is carried out for four nominal frequencies: 50 Hz, 1 kHz, 5 kHz, and 20 kHz. The key comparison reference value is P(f). |
The degree of equivalence of laboratory i with respect to the reference value is given by a pair of terms both expressed in relative units: D_{i} = [Q_{i}(f)/P(f)] - 1, and U_{i}, its expanded uncertainty (k = 2), with U_{i} = 2u_{i}. Due to the fairly large value of the expanded uncertainty (k = 2) of the key comparison reference value with respect to the expanded uncertainty of some of the participants, it is not included in the U_{i}'s calculation. |
The degree of equivalence between two laboratories i and j is given by a pair of terms both expressed in relative units: D_{ij} = [Q_{i}(f)/Q_{j}(f)] - 1_{} and U_{ij}, its expanded uncertainty (k = 2), U_{ij} = 2(u_{i}^{2} + u_{j}^{2})^{1/2}. |
The link is computed from the results of the four common participants, CMI, NPL, IEN and PTB. For each of these laboratories the ratio of their results obtained in CCEM.M-K1 to those obtained in EUROMET.EM.M-K1 is calculated. For f = 50 Hz, F(f) = 0.9936 with expanded uncertainty U_{F} = 0.48 %. |
The degree of equivalence of each laboratory i participant in EUROMET.EM.M-K1 only with respect to the CCEM.M-K1 reference value is given by a pair of terms both expressed in relative units: D_{i} = [F(f)Q_{i}(f)/P(f)] - 1, and U_{i}, its expanded uncertainty (k = 2), with U_{i} = 2[u_{i}^{2} + (U_{F}/2)^{2}]^{1/2} (see Linkage Report). |
The degree of equivalence between one laboratory i participating in EUROMET.EM.M-K1 and one laboratory j participating in CCEM.M-K1 is given by a pair of terms both expressed in relative units: D_{ij} = [F(f)Q_{i}(f)/Q_{j}(f)] - 1_{} and U_{ij}, its expanded uncertainty (k = 2), U_{ij} = 2[(U_{i}/2)^{2} + u_{j}^{2}]^{1/2}. |
These statements make it possible to extend the CCEM.M-K1 matrix of equivalence to participants in EUROMET.EM.M-K1.
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Coil constant of a DC transfer standard
k_{i} : result of measurement carried out by laboratory i of the DC coil constant
u_{i} : relative standard uncertainty of k_{i}
Lab i | k_{i}/ (mT/A) | u_{i}/ 10^{-6} | Date of measurement |
KRISS | 2.024 113 | 4 | 01-07 |
VNIIM | 2.024 130 | 1.1 | 01-09 |
NMIA | 2.024 87 | 430 | 01-11 |
UME | 2.055 1 | 278 | 01-12 |
NPL | 2.024 19 | 73 | 02-02 |
IEN | 2.023 56 | 222 | 02-04 |
NIM | 2.024 108 | 8.6 | 02-06 |
CMI | 2.024 206 | 35 | 02-07 |
CENAM | 2.026 48 | 62 | 02-10 |
PTB | 2.024 133 | 2.7 | 01-05, 02-05, 02-12 |
CENAM_{PTB} |
2.024 201 |
32 |
03-03 |
CENAM_{PTB} : measurements made at PTB with the CENAM flowing water instrument
Data is available from Metrologia, 2001, 38, 187-191
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 50 Hz
Some of the participants have also measured the frequency dependence of the coil constant and have reported their results as Q_{i}(f) = k_{i}(f)/k_{i}, where f is the frequency and k_{i} the coil constant obtained in DC.
u_{i} : relative standard uncertainty of k_{i}(f)/k_{i}
Data is available from Metrologia, 2001, 38, 187-191
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 1 kHz
Some of the participants have also measured the frequency dependence of the coil constant and have reported their results as Q_{i}(f) = k_{i}(f)/k_{i}, where f is the frequency and k_{i} the coil constant obtained in DC.
u_{i} : relative standard uncertainty of k_{i}(f)/k_{i}
Data is available from Metrologia, 2001, 38, 187-191
CCEM.M-K1 and EUROMET.EM.M-K1
MEASURAND : Frequency dependence of the coil constant relative to DC
FREQUENCY : 5 kHz
Some of the participants have also measured the frequency dependence of the coil constant and have reported their results as Q_{i}(f) = k_{i}(f)/k_{i}, where f is the frequency and k_{i} the coil constant obtained in DC.
u_{i} : relative standard uncertainty of k_{i}(f)/k_{i}
Data is available from Metrologia, 2001, 38, 187-191