Radiance of black body from temperature

The Stefan—Boltzmann law, also known as Stefan’s law, states that the total energy radiated per unit surface area of a black body per unit time is directly proportional to the fourth power of the black body’s thermodynamic temperature.

Notation:

  1. \(\sigma\) (sigma) is stefan_boltzmann_constant.

Conditions:

  1. The body is completely black, i.e. it absorbs all energy.

Links:

  1. Wikipedia.

radiance

radiant_exitance of the body.

Symbol:

M_e

Latex:

\(M_\text{e}\)

Dimension:

power/area

temperature

temperature of the body.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

law

M_e = sigma * T^4

Latex:
\[M_\text{e} = \sigma T^{4}\]