From 553a14fdc798dfee7f7fb66c4fcc79bec6548aa6 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Fri, 17 Jan 2025 09:59:46 +0100 Subject: [PATCH] Update Content - 2025-01-17 --- content/zettels/temperature_sensors.md | 23 ++++++++++++++--------- 1 file changed, 14 insertions(+), 9 deletions(-) diff --git a/content/zettels/temperature_sensors.md b/content/zettels/temperature_sensors.md index d9e2cc8..ed83867 100644 --- a/content/zettels/temperature_sensors.md +++ b/content/zettels/temperature_sensors.md @@ -199,20 +199,25 @@ The resistance as a function of temperature is approximated by the Callendar–V R\_0 (1 + A \cdot T + B \cdot T^2), & \text{for } T>0^oC \\\\ R\_0 (1 + A\cdot T + B \cdot T^2 + C \cdot (T - 100) \cdot T^3), & \text{for } T<0^oC \end{cases} \\] +with \\(R\_0\\) the resistance value at 0 degrees (\\(100\\,\Omega\\) for a Pt100 and \\(1000\\,\Omega\\) for a Pt1000). -With \\(R\_0\\) the resistance value at 0 degrees (\\(100\\,\Omega\\) for a Pt100 and \\(1000\\,\Omega\\) for a Pt1000). +Values for A, B, C and D are depending on the exact model (summarized in ). -Values for A, B, C and D are depending on the exact model. -For a TCR of 3850 ppm/K, the values are: + +
+ Table 1: + Values of the Callendar-Van Dusen equations +
-- \\(A = 3.9083 \cdot 10^{-3}\ [{}^oC^{-1}]\\) -- \\(B = -5.775 \cdot 10^{-7}\ [{}^oC^{-2}]\\) -- \\(C = -4.183 \cdot 10^{-12}\ [{}^oC^{-4}]\\) - - +| TCR | A | B | C | +|------------|----------------------------|------------------------------|------------------------------| +| 3850 ppm/K | \\(3.9083 \cdot 10^{-3}\\) | \\(-5.775 \cdot 10^{-7}\\) | \\(-4.183 \cdot 10^{-12}\\) | +| 3911 ppm/K | \\(3.9692 \cdot 10^{-3}\\) | \\(-5.829 \cdot 10^{-7}\\) | \\(-4.3303 \cdot 10^{-12}\\) | +| 3750 ppm/K | \\(3.8102 \cdot 10^{-3}\\) | \\(-6.01888 \cdot 10^{-7}\\) | \\(-6 \cdot 10^{-12}\\) | +| 3770 ppm/K | \\(3.8285 \cdot 10^{-3}\\) | \\(-5.85 \cdot 10^{-7}\\) | | ```matlab -%% Pt100 +%% Pt100 (3850 ppm/K) R0 = 100; % [Ohm] A = 3.9083e-3;