The discussion focuses on deriving the Stefan-Boltzmann law using Planck’s radiation law, specifically under the condition of zero background temperature (T0 = 0). Participants emphasize the necessity of integrating over all wavelengths, noting that the limits of integration can extend to both arbitrarily short and long wavelengths. The key takeaway is the understanding that the Stefan-Boltzmann law emerges from the complete integration of Planck’s law across the entire spectrum of electromagnetic radiation.
PREREQUISITESStudents of physics, particularly those studying thermodynamics and electromagnetic radiation, as well as educators seeking to clarify the relationship between Planck’s law and the Stefan-Boltzmann law.
modphysnoob said:Homework Statement
a) Use Planck’s radiation law to derive the Stefan-Boltzmann law for the case of zero background
temperature (i.e., T0 = 0).
Homework Equations
http://csep10.phys.utk.edu/astr162/lect/light/plancklaw.gif
The Attempt at a Solution
So I know we are suppose to integrate over all wavelength but I dont' know what should the limit be