Update Content - 2025-01-17
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@ -199,20 +199,25 @@ The resistance as a function of temperature is approximated by the Callendar–V
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R\_0 (1 + A \cdot T + B \cdot T^2), & \text{for } T>0^oC \\\\
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R\_0 (1 + A \cdot T + B \cdot T^2), & \text{for } T>0^oC \\\\
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R\_0 (1 + A\cdot T + B \cdot T^2 + C \cdot (T - 100) \cdot T^3), & \text{for } T<0^oC
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R\_0 (1 + A\cdot T + B \cdot T^2 + C \cdot (T - 100) \cdot T^3), & \text{for } T<0^oC
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\end{cases} \\]
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\end{cases} \\]
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with \\(R\_0\\) the resistance value at 0 degrees (\\(100\\,\Omega\\) for a Pt100 and \\(1000\\,\Omega\\) for a Pt1000).
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With \\(R\_0\\) the resistance value at 0 degrees (\\(100\\,\Omega\\) for a Pt100 and \\(1000\\,\Omega\\) for a Pt1000).
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Values for A, B, C and D are depending on the exact model (summarized in <tab:pt100_values>).
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Values for A, B, C and D are depending on the exact model.
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<a id="table--tab:pt100-values"></a>
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For a TCR of 3850 ppm/K, the values are:
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<div class="table-caption">
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<span class="table-number"><a href="#table--tab:pt100-values">Table 1</a>:</span>
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Values of the Callendar-Van Dusen equations
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</div>
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- \\(A = 3.9083 \cdot 10^{-3}\ [{}^oC^{-1}]\\)
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| TCR | A | B | C |
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- \\(B = -5.775 \cdot 10^{-7}\ [{}^oC^{-2}]\\)
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|------------|----------------------------|------------------------------|------------------------------|
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- \\(C = -4.183 \cdot 10^{-12}\ [{}^oC^{-4}]\\)
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| 3850 ppm/K | \\(3.9083 \cdot 10^{-3}\\) | \\(-5.775 \cdot 10^{-7}\\) | \\(-4.183 \cdot 10^{-12}\\) |
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| 3911 ppm/K | \\(3.9692 \cdot 10^{-3}\\) | \\(-5.829 \cdot 10^{-7}\\) | \\(-4.3303 \cdot 10^{-12}\\) |
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<!--listend-->
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| 3750 ppm/K | \\(3.8102 \cdot 10^{-3}\\) | \\(-6.01888 \cdot 10^{-7}\\) | \\(-6 \cdot 10^{-12}\\) |
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| 3770 ppm/K | \\(3.8285 \cdot 10^{-3}\\) | \\(-5.85 \cdot 10^{-7}\\) | |
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```matlab
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```matlab
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%% Pt100
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%% Pt100 (3850 ppm/K)
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R0 = 100; % [Ohm]
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R0 = 100; % [Ohm]
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A = 3.9083e-3;
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A = 3.9083e-3;
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