WOLFRAM|DEMONSTRATIONS PROJECT

Spectral Distribution of Total Energy Emitted by a Black Body versus Temperature

​
temperature in Kelvin
1000
Power
:Infinite expression
1
0.
encountered.
Infinity
:Indeterminate expression
ComplexInfinity

encountered.
Power
:Infinite expression
1
5
0.
encountered.
This Demonstration plots the monochromatic emissive power of a black body in
W/
3
m
at user-set values of the temperature (blue curve). The locus of the maximum values of the monochromatic emissive power (red curve) is given by Wien's displacement law:
λ
max
T=2.898
-3
10
mK
.
The Demonstration also displays the value of
λ
max
as well as the total emissive power,
E
B
(expressed in
W/
2
m
), which is given by the Stefan–Boltzmann law:
E
B
=σ
4
T
, where
σ=5.676×
-8
10
W/
2
m
4
K
.