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Stephan-Boltzmann Law

`j"*" = sigma * "T" ^4`
`(T)"Temperature"`

The Stephan-Boltzman Law calculator computes power radiated from a black body based on the body's thermodynamic temperature (T).

INSTRUCTIONS: Choose the preferred units and enter the following:

  • (T)  This is the thermodynamic temperature of the object.

Energy Radiated: The calculator returns the energy radiated in W/m2.  However, this can be automatically converted into lux or lambert units via the pull-down menu.

The Math / Science

According to the Stefan-Boltzmann law, a doubling of temperature means an increase of energy emitted at the surface increases by a factor of 16. This means that a star with twice the temperature has 16 times the energy.

To solve for this, use the following equation:

`F=sigmaT^4`

where

`F` is the Energy flux
 `sigma` is the boltzmann constant
 `T` is the temperature