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AN607 Datasheet(PDF) 39 Page - Silicon Laboratories

Part # AN607
Description  HUMIDITY AND TEMPERATURE SENSOR DESIGNERS GUIDE
PDF  41 Pages
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Manufacturer  SILABS [Silicon Laboratories]
Direct Link  http://www.silabs.com
Logo SILABS - Silicon Laboratories

AN607 Datasheet(HTML) 39 Page - Silicon Laboratories

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AN607
Rev. 1.7
39
The thermal impedance to air for a standard FR4 PCB is about 1000 C/W per cm2 of PCB area. With two sides
exposed to the ambient a total of 18 cm2 is connected to the ambient. This makes R1 55.5 C/W.
The mass of 9 cm2 of PCB material is about 2.5 g (the specific gravity of FR4 is 1850 kg/m3 and assuming 1.5 mm
thickness) and the specific heat capacity of PCB material is 0.6 J/(g-C), so the heat capacity is 1.5 J/C.
The time constant R1 x C2 is 1.5 J/C x 55.5 C–second/J = 83 seconds.
This time constant is independent of the PCB area—more area means lower thermal impedance but higher
thermal mass. To improve the time constant beyond this thinner PCB material would have to be used or there
would need to be fins or airflow to reduce the thermal impedance.
Turning our attention to R2 the thermal conductivity of FR4 material in plane is around 1Watt/meter-C. So, for the
example of the connection of the sensor area to the rest of the system by 1cm wide 3cm long 1.5mm thick FR4:
Conductance = thermal conductivity x area/length = 1 Watt/meter-°C x 10–2m/cm x 1 x 0.15/3 = 0.05 x 10–2W/°C
Or thermal impedance (1/conductance) is 2000 °C/W (this is R2). This is assuming minimal copper routing on the
connector material.
With this design since R2 is 36 times R1, so the system heating will have a fairly minor effect. For example if the
system heating is 10 °C the sensor temperature would only increase 0.3 °C.
If more thermal connection is tolerable the connector area could be made shorter or wider or the PCB area the
sensor is connector to could be made smaller.
This example was intended to illustrate the thermal design considerations for good response to ambient conditions
and insulation from the system. In some cases, it is not possible to place the sensor in sufficient thermal contact
with the environment to shield it for the thermal mass and heat sources in the system. In this case, it is often
possible to compensate for the system by placing an additional temperature sensor in the system. However, in all
cases, the thermal contact of the sensor to the environment should be maximized, and the thermal contact of the
sensor to the rest of the system should be minimized.



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