This small group activity has students reasoning about how the Planck distribution shifts when the temperature is doubled. This leads to a qualitative argument for the Stefan-Boltzmann law.
This small whiteboard question introduces the Stefan-Boltzmann law.
group Small Group Activity
30 min.Contemporary Challenges 2022 (3 years)
assignment HomeworkStefan-Boltzmann blackbody radiation Thermal and Statistical Physics 2020 A black (nonreflective) sheet of metal at high temperature \(T_h\) is parallel to a cold black sheet of metal at temperature \(T_c\). Each sheet has an area \(A\) which is much greater than the distance between them. The sheets are in vacuum, so energy can only be transferred by radiation.
Solve for the net power transferred between the two sheets.
Optional: Find the power through an \(N\)-layer sandwich.
120 min.Thermal and Statistical Physics 2020 Thermal and Statistical Physics cover blackbody radiation and the Planck distribution. They include a number of small group activities.