In the figure given, R2 is a resistive sensor with R2=R20(1+ax) (x: measurand, a: constant coefficient, R20 =2k6). The internal resistance of the 3 % digit auto-range digital V-meter (DVM) is assumed to be infinite. The absolute error of the DVM is given as: AU = 1 (0.05% of the reading + 0.04% of the range) [V] |a) With a=1, what are the readings on the display of the DVM for x=0 and x=0.25? b) The tolerances of all the resistors are given as 1%. For x=0, calculate the absolute uncertainty in the reading at 95% confidence level. (Individual uncertainties are assumed to be uncorrelated) R1 2k 6V R2 DVM R4 4k R3 1k4: 1.4k2 1k4

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In the figure given, R2 is a resistive sensor with R2=R20(1+ax) (x: measurand,
a: constant coefficient, R20 =2k6). The internal resistance of the 3 % digit
auto-range digital V-meter (DVM) is assumed to be infinite.
The absolute error of the DVM is given as:
AU = t (0.05% of the reading + 0.04% of the range) [V]
a) With a=1, what are the readings on the display of the DVM for x=0 and
R1
6V
2k
R2
DVM
R4
4k
R3
1k4: 1.4k2
1k4
x=0.25?
b) The tolerances of all the resistors are given as 1%. For x=0, calculate the absolute uncertainty in the
reading at 95% confidence level. (Individual uncertainties are assumed to be uncorrelated)
Transcribed Image Text:In the figure given, R2 is a resistive sensor with R2=R20(1+ax) (x: measurand, a: constant coefficient, R20 =2k6). The internal resistance of the 3 % digit auto-range digital V-meter (DVM) is assumed to be infinite. The absolute error of the DVM is given as: AU = t (0.05% of the reading + 0.04% of the range) [V] a) With a=1, what are the readings on the display of the DVM for x=0 and R1 6V 2k R2 DVM R4 4k R3 1k4: 1.4k2 1k4 x=0.25? b) The tolerances of all the resistors are given as 1%. For x=0, calculate the absolute uncertainty in the reading at 95% confidence level. (Individual uncertainties are assumed to be uncorrelated)
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