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Blackbody Luminosity of a Sphere

The blackbody luminosity for a sphere is the total amount of energy emitted by a sphere with uniform temperature in thermal equalibrium with its surroundings.

Luminosity increases quadratically with radius and to the fourth power with temperature.

Formula

QuantityVariable["L", "Luminosity"] == Quantity[4*Pi, "StefanBoltzmannConstant"]*QuantityVariable["R", "Radius"]^2*QuantityVariable["T", "Temperature"]^4

symbol description physical quantity
L luminosity "Luminosity"
R radius "Radius"
T temperature "Temperature"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Blackbody Luminosity of a Sphere"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Blackbody Luminosity of a Sphere"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Blackbody Luminosity of a Sphere"], {QuantityVariable[ "T","Temperature"] -> Quantity[5780, "Kelvins"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1879

Publisher Information