stefan boltzmann law

Stefan-Boltzmann Law

Understanding the radiation from a blackbody was a problem that many prominent physicists tacked in the late nineteenth and early twentieth century. Part of problem was to understand the total energy emitted by a blackbody, which is solely dependent on the temperature of the blackbody. It can be argued that there is no dependence on the direction of radiation i.e isotropy. Boltzmann finally came up with a physical basis to show that the total energy radiated by a blackbody is proportional to the fourth power of the temperature of the body.

Radiation can be described using the radiation density or the radiation pressure and take it from me, for now, that the radiation density is related to the radiation pressure as such

where is the radiation pressure and is the radiation density.

Now, let’s use

where is radiation density per unit volume

we can therefore say that

and since

This document is written in Markdown using StackEdit1

  1. StackEdit is a full-featured, open-source Markdown editor based on PageDown, the Markdown library used by Stack Overflow and the other Stack Exchange sites.

Popular posts from this blog

Animation using GNUPlot

Pandas download statistics, PyPI and Google BigQuery - Daily downloads and downloads by latest version

Adaptive step size Runge-Kutta method