Calculating temperature – Omega Speaker Systems OS550 Series User Manual

Page 65

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A-3

Appendix: How Infrared Thermometry Works

A

Wien’s Displacement Law describes the exact mathematical
relationship between the temperature of a blackbody and the
wavelength of the maximum intensity radiation.

where

λ

m

= wavelength measured in microns

T = temperature in Kelvin

Calculating Temperature

The net thermal power radiated by an object has been shown to
depend on its emissivity, its temperature and that of the ambient
temperature around the object. A very useful equation known
today as the Stefan-Boltzmann Law has been shown both
theoretically and empirically to describe the relationship.

I = thermal power in watts/meter

2

ε = Emissivity
σ = 5.6703 x 10

-8

watts/meter

2

x K

4

(Stefan’s constant)

T = temperature of object in Kelvin
T

a

= temperature of ambient surroundings in Kelvin

The infrared thermometer uses this equation directly in calculating
the temperature of an object. The incident power is measured by
the infrared detector. The emissivity of the object is determined by
the user. The ambient temperature is measured by a sensor inside
the thermometer. With all quantities known, the thermometer uses
the Stefan-Bolzmann Law to calculate and output the temperature
of the object.

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