How to calculate the energy emitted through IR waves

In summary, the value of emissivity (ε) for a body that only emits IR light depends on the material and surface roughness of the body. For a perfect black body, ε=1, but for real or grey bodies, ε can range from 0 to 1. The calculation of emissivity involves comparing the spectral radiance of the body to that of a black body at the same temperature. The atmosphere can affect the emissivity of a body, as it can block certain wavelengths of light. Overall, predicting the emissivity of a body is difficult and often relies on empirical values.
  • #1
amukher
2
0
The energy emitted by a body in watts/m2 is = εσT4. In the case of a perfect black body, ε=1. If the body only emits IR light, what should be the value of ε?
 
Physics news on Phys.org
  • #2
amukher said:
If the body only emits IR light, what should be the value of ε?
If the "body" is a light source not due to thermal radiation, then there is no ε. A CO2 laser will not emit the same power as a remote control, even if they are at the same temperature.
 
  • #3
amukher said:
The energy emitted by a body in watts/m2 is = εσT4. In the case of a perfect black body, ε=1. If the body only emits IR light, what should be the value of ε?
The emissivity is material dependent and surface roughness dependent. For example polished metal and foil of the same metal will have different emissivities, as shown here.
 
  • #4
amukher said:
If the body only emits IR light, what should be the value of ε?

such bodies exist which only emits a particular radiation - then its perhaps not a black body ; call it a real body or grey body ;
The emissivity of the surface of a material is its effectiveness in emitting energy as thermal radiation
then one can define emissivity with respect to black body as a ratio and it can be from 0 to 1.
it can be taken as ratio of the following
Emissivity = L(1) of the body/ L(2) for a black body
where
L(1)
the spectral radiance in frequency of that surface;
L(2)
is the spectral radiance in frequency of a black body at the same temperature as that surface;
For details see<https://en.wikipedia.org/wiki/Emissivity#Spectral_hemispherical_emissivity>
 
  • #5
DrClaude said:
If the "body" is a light source not due to thermal radiation, then there is no ε. A CO2 laser will not emit the same power as a remote control, even if they are at the same temperature.

Let us say that the atmosphere blocks all visible light wavelengths and allows only IR wavelengths to reach the earth. The Earth would then be a source of thermal radiation. To calculate the heat emitted by the earth, I would need the value of ε.
 
  • #6
amukher said:
Let us say that the atmosphere blocks all visible light wavelengths and allows only IR wavelengths to reach the earth. The Earth would then be a source of thermal radiation. To calculate the heat emitted by the earth, I would need the value of ε.
The emissivity depends on the body shape (e.g how smooth it is) and the material. There's no easy way to predict them, they are basically empirical values
 

Related to How to calculate the energy emitted through IR waves

1. How do I calculate the energy emitted through IR waves?

To calculate the energy emitted through IR waves, you will need to use the Stefan-Boltzmann law. This law states that the energy (E) emitted per unit time (t) from a black body is proportional to the fourth power of its absolute temperature (T) and its surface area (A). The equation is written as E = σAT^4, where σ is the Stefan-Boltzmann constant (5.67 x 10^-8 W/m^2K^4).

2. What is a black body and why is it important in calculating energy emitted through IR waves?

A black body is an idealized object that absorbs all radiation incident on its surface and emits radiation at the maximum possible rate at any given temperature and wavelength. In other words, it is a perfect absorber and emitter of radiation. This concept is important in calculating energy emitted through IR waves because it allows us to use the Stefan-Boltzmann law, which is based on black body radiation.

3. Can the energy emitted through IR waves be calculated for non-black body objects?

Yes, the energy emitted through IR waves can also be calculated for non-black body objects. However, in this case, we need to use a modification of the Stefan-Boltzmann law called the emissivity (ε). Emissivity is a measure of how well an object emits IR radiation compared to a perfect black body at the same temperature. The equation for calculating energy emitted from a non-black body object is E = εσAT^4.

4. How does the temperature of an object affect the energy emitted through IR waves?

The temperature of an object has a direct effect on the amount of energy emitted through IR waves. As the temperature increases, the energy emitted also increases according to the Stefan-Boltzmann law. This means that hotter objects will emit more energy through IR waves compared to cooler objects.

5. Is it possible to measure the energy emitted through IR waves?

Yes, it is possible to measure the energy emitted through IR waves using a device called an infrared (IR) thermometer. This device uses a lens to focus IR energy from an object onto a detector, which then converts the energy into an electrical signal. The signal is then displayed on a screen as a temperature reading. However, it is important to note that IR thermometers can only measure the surface temperature of an object, not the internal temperature.

Similar threads

  • Other Physics Topics
Replies
5
Views
2K
  • Other Physics Topics
Replies
27
Views
2K
Replies
13
Views
595
  • Other Physics Topics
Replies
19
Views
16K
  • Other Physics Topics
Replies
8
Views
1K
Replies
3
Views
895
Replies
4
Views
796
  • Materials and Chemical Engineering
Replies
2
Views
1K
Replies
4
Views
1K
Replies
22
Views
1K
Back
Top