Show that the total emissive power of a blackbody can be written in the form E = C _ ^ 4

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Modern Physics · Modern Physics

Problem

Show that the total emissive power

E

of a blackbody can be written in the form

E = \frac{C}{\lambda_{\max}^{4}},

where

C

is a numerical constant. Evaluate the value of

C

using

\sigma = 5.67\times10^{-8}\,\text{W\,m}^{-2}\text{K}^{-4}

and

b = 2.898\times10^{-3}\,\text{m\,K}