The following measurements were taken with an Amprobe 30XR-A Digital Multimeter.
ID: 3308046 • Letter: T
Question
The following measurements were taken with an Amprobe 30XR-A Digital Multimeter. Find the uncertainties of each measurement
. a. DC Voltage of 14.33V
b. DC Current of 1.500 mA
c. Resistance of 16.59 k
The following table lists the specifications for uncertainty:
Specifications (at 23 °C ± 5 °C, <75 % R.H. non-condensing) General Specifications 30XR-A Digital Multimeter
DC Voltage Ranges 200 mV, 2 V, 20 V, 200 V, 600 V Accuracy all ranges: ± (1 % rdg + 1 dgt)
AC Voltage (45 Hz to 500 Hz) Ranges 200 mV, 2 V, 20 V, 200 V, 600 V Accuracy all ranges: ± (1.5 % rdg + 4 dgts)
DC Current Ranges 200 A, 2 mA, 20 mA, 200 mA, 10 A Accuracy 200 A to 200 mA ranges: ± (1.5 % rdg + 1 dgt) 10 A range: ± (2.0 % rdg + 3 dgts)
AC Current (45 Hz to 500 Hz) Ranges 200 A, 2 mA, 20 mA, 200 mA, 10 A Accuracy 200 A to 200 mA ranges: ± (2.0 % rdg + 4 dgts) 10A range: ± (2.5 % rdg + 4 dgts)
Resistance Ranges 200 , 2 k, 20 k, 200 k, 2 M, 20 M Accuracy 200 to 200 kranges: ± (1.0 % rdg + 4 dgts) 2 Mrange: ± (1.5 % rdg + 4 dgts) 20 Mrange: ± (2.0 % rdg + 5 dgts) ***** The is supposed to be an ohm symbol********
I know it is ambiguous language. University of Nebraska-Omaha has terrible physics labs.
Explanation / Answer
We should consider few things in mind
i) The number of digits that is displayed in the multimeter
ii) Accuracy for the range of particular parameter
iii) The number of digits actually displayed.
a. DC Voltage of 14.33V
Accuracy all ranges: ± (1 % rdg + 1 dgt)
1% of 14.33 = 0.1433. Then uncertainty = 0.14 V
b. DC Current of 1.500 mA
Accuracy all ranges: ± (1 % rdg + 1 dgt)
1% of 1.5 mA = 0.015. Then uncertainty = 0.015 A
c. Resistance of 16.59 k
Accuracy 200 to 200 k: ranges: ± (1.0 % rdg + 4 dgts)
1% of 16.59 k = 0.1659. Then uncertainty = 0.17 k
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