Density of black body radiation

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SUMMARY

The discussion centers on the formula for radiant energy density, expressed as 4 * sigma * T^4 / c, and its relationship to the Stefan-Boltzmann law. The user questions whether the correct coefficient should be 4*pi instead of just 4 and seeks clarification on the inclusion of the speed of light, c, in the formula. The reference to the Stefan-Boltzmann law, j = sigma T^4 (watts/meter^2), is provided to highlight the confusion regarding the derivation of the energy density formula.

PREREQUISITES
  • Understanding of the Stefan-Boltzmann law
  • Familiarity with black body radiation concepts
  • Basic knowledge of thermodynamics
  • Awareness of physical constants, including the speed of light (c)
NEXT STEPS
  • Research the derivation of the Stefan-Boltzmann law
  • Study the implications of black body radiation in thermodynamics
  • Explore the role of physical constants in radiation formulas
  • Investigate the differences between radiant energy density and radiant flux
USEFUL FOR

Physicists, engineering students, and anyone studying thermodynamics or black body radiation principles will benefit from this discussion.

asub
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I came across a formula that gives radiant energy density as 4 * sigma * T^4 / c. I am trying to figure out how this formula follows from Stefan-Boltzmann law. Shouldn't it be 4*pi instead of just 4? I am also wondering why one can just stick in c.

TIA
 
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