Sensitivity Coefficients Ci - Agilent Technologies E4418B Service Manual

Measurement Uncertainty Analysis – Instrument Accuracy Test
Measurement Introduction
By using the DMM Uncertainties calculated previously the worst case voltage and
corresponding power errors can be calculated.
Power Setting
Applied Volts
(mW)
0.001 0.14493mV
0.01 1.4493mV
0.1 14.493mV
1 144.93mV
10 1.4588V
100 15.6V

Sensitivity Coefficients Ci:

The partial derivatives of the measurement equation Y = f(MV, TSE) equal 1.
TSE is derived from a number of readings taken by the test station to characterize the
cabling, connectors noise and so forth. Therefore no measurement equation exists to
differentiate. It is a measured value of magnitude.
Hence:
The DMM Measured Voltage also has a sensitivity coefficient equal to 1. As with the
TSE the Measured Voltage is not computed from an equation. Is it a real value that the
DMM actually measures.
Hence:
A-8
DMM Error on
Range Standard
Uncertainty (uV)
<1.371uV
<1.371uV
1.371uV
6.09uV
56.8uV
148.8uV
d
C = TSE = 1
TSE
d TSE
d
C MV 1
= =
MV
MV
d
Worst Case
Voltage Error on Power Error on
Range (%)
0.946% 0.00946uW
0.0946% 0.00946uW
0.00946% 0.00946uW
0.00420% 0.042uW
0.00389% 0.389uW
0.00095% 0.95uW
Agilent E4416A/E4417A Service Guide
Worst Case
Range