Rate of EM emission based on surface characteristics

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Homework Help Overview

The discussion revolves around the rate of electromagnetic (EM) emission based on the surface characteristics of materials, specifically comparing a black painted surface and an aluminum plate. The subject area includes concepts of emissivity, black body radiation, and thermal dynamics.

Discussion Character

  • Conceptual clarification, Assumption checking, Exploratory

Approaches and Questions Raised

  • Participants explore the relationship between surface color, emissivity, and EM radiation. Questions arise about the peak black body emission at certain temperatures and the conditions under which the objects are heated. There is also discussion about the implications of temperature differences and how they relate to emissivity.

Discussion Status

The discussion is active, with participants providing insights and questioning assumptions about the heating conditions and the effects of emissivity on EM emission. Some guidance is offered regarding the application of Stefan-Boltzmann's law, but no consensus has been reached on the conclusions drawn from the discussion.

Contextual Notes

Participants note that no other variables were stated in the original question, leading to assumptions about the conditions under which the surfaces are compared. There is an acknowledgment of the need for differential heating to maintain temperature differences.

druscilla
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Homework Statement
Given a scenario where there is a black painted surface at a temperature of 15 degrees Celsius and a polished aluminum plate at 20 degrees Celsius, could you determine which of these objects experiences a higher rate of emission of electromagnetic radiation per unit area?
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I would think the black painted surface is
 
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druscilla said:
I would think the black painted surface is
And, why do you think that ?
 
Since dark matt surfaces are better emitters of em radiation because of higher emissivity
 
You are correct but the fact that it is black to your eye speaks only to its emissivity/absorbance behavior for radiation in the visible spectrum. What is the peak black body emission for ~300K?
Also how are these objects being heated? They will not maintain a temperature difference unless differentially heated.
 
druscilla said:
Since dark matt surfaces are better emitters of em radiation because of higher emissivity
Right, but the aluminium plate is hotter. So the question is, is the temperature difference enough to overcome the emissivity difference? How will you assess that?
hutchphd said:
Also how are these objects being heated? They will not maintain a temperature difference unless differentially heated.
I think we are supposed to assume those temperatures are maintained somehow.
 
No other variables were stated in the question, so now I think the Al plate must be the answer given Stephan-Boltzmann's law
 
druscilla said:
No other variables were stated in the question, so now I think the Al plate must be the answer given Stephan-Boltzmann's law
I see no reason to jump to the opposite conclusion.
If the emissivities were the same, what would the power ratio be?
What emissivity ratio would balance that?
 

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