5 example 4: measuring a 100 ω prt, Example 4: measuring a 100 ω prt – Fluke 1595A User Manual

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Introduction and Specifications

Specifications

2.2.5.4.2 Example 3: Measuring Zero-Power Resistance

The purpose of this example is to demonstrate how the Relative Current specification applies when performing

a zero-power measurement. The zero-power uncertainty calculated in this example would be added to the rest

of the uncertainties involved in the measurement as explained in previous examples. The intention of the zero-

power measurement is to remove measurement errors due to self-heating of the SPRT.
In this example a 1595A is used to measure a 25 Ω SPRT at the triple-point of water using the Zero-Power

function. The SPRT is measured at nominal current, 1.0 mA and 1.4142 mA (double-power current). In this

example, the self-heating sensitivity of the SPRT in a triple-point of water cell is 0.0024 °C/mA. This was

found by using the Zero-Power function and reading the SELF-HEATING field in the Zero-Power results

screen. This value will vary significantly depending on temperature, measurement medium, and probe

construction.
The uncertainties used to calculate zero-power uncertainty are:

Ratio accuracy of the 1595A

Measurement noise

Relative current accuracy of the 1595A

Reference resistor stability

2.2.5.4.3 Resistance Ratio Accuracy at 0.01 °C

The ratio accuracy at 0.01 °C is based on using the internal 25 Ω resistor to measure a resistance of 25.5 Ω.

The 1595A standard uncertainty of resistance ratio is 0.03 ppm. To convert this value to temperature divide by

1.0 × 10

6

and multiply by 1.02 (Rx/Rs). The result is then divided by 0.004 (W

T90

sensitivity, dW/dT, at 0.01

°C, see above). The final result is 0.000008 °C.

2.2.5.4.4 Measurement Noise

The Zero-Power function reports the standard error of the mean of the zero-power value in the STANDARD

ERROR field. In this example, the standard error of the mean is 0.0000018 Ω. To convert this value into tem-

perature, divide by the resistance sensitivity (dR/dT) of the SPRT at 0.01 °C. dR/dT at 0.01 °C is 0.1 W/°C (see

tip above). The result is 0.000018 °C.

2.2.5.4.5 Relative Current Accuracy

The relative measurement current specifications are listed in Table 7 of the Specifications section. The stan-

dard uncertainty of the measurement current over the range 1.0 mA to 1.4142 mA is 0.0015 mA. This is

converted to temperature by multiplying by the SPRT self-heating sensitivity at 0.01 °C which is 0.0024 °C/

mA. The result is 0.0000036 °C.

2.2.5.4.6 Reference Resistor Stability

Since the individual measurements of the zero-power measurement are taken in close proximity in time, the

drift of the reference resistor is considered negligible.

2.2.5.4.7 Combining the Uncertainties

The uncertainties of the zero-power measurement are combined by RSS with the rest of the uncertainties

involved in the measurement. See the previous examples for the other uncertainties.

2.2.5.5 Example 4: Measuring a 100 Ω PRT

In this example the temperature of a typical 100 Ω PRT is measured at 420 °C with a 1595A. The uncertainties

in the measurement associated with the 1595A are as follows:

Resistance accuracy of the 1595A

Measurement noise at 420 °C

2.2.5.5.1 Resistance Accuracy at 420 °C

First, calculate the 1595A absolute resistance accuracy at 257 Ω (the resistance of the 100 Ω PRT at 420 °C).

The one-year absolute resistance standard uncertainty (k = 1) of the 1594A, using the internal 100 Ω resistor,

is 2.0 ppm. To convert this to an uncertainty in temperature, multiply 2.0 ppm by 1.0 × 10

6

then multiply by

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