Black Body Radiation: Exploring Radiated & Perpendicular Power

AI Thread Summary
The discussion centers on the distinction between radiated power and perpendicular power in the context of black body radiation. It explains that radiated power is greater than perpendicular power because the angle of incidence affects the effective area through which radiation passes. The averaging of power over various angles is necessary to account for the varying contributions of radiation from different directions. This approach helps in calculating the total energy transmitted more accurately than simply summing powers from different angles. Understanding these concepts is crucial for grasping the principles of black body radiation and its implications in physics.
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Can someone help explain what's going on here?
http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/radpow.html#c1

Specifically the part about how radiated power is greater than perpendicular power.
I also don't understand why the power is being averaged over the various angles. Doesn't it make more sense to add the powers from light arriving at different angles to get the total energy transmitted?
 
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I can't follow this very well, nothing is defined and I can't work out the overall goal.

I think it's saying that the radiation going through the specified surface from some angle is not perpendicular, so you need to use cos(theta) to find the perpendicular component of the vector.
 
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