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Introductory Physics Homework Help
Power Delivered From Black Body
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[QUOTE="ThatGuyYeah, post: 4889702, member: 527568"] [h2]Homework Statement [/h2] The power delivered in narrow spectrum range near 10 µm from black body source with temperature 1000 K is 10 µW. [U][B]Not Solved[/B][/U] [COLOR=rgb(255, 77, 77)]a) What power would be delivered in narrow spectrum range near 1 µm?[/COLOR] [COLOR=rgb(0, 0, 0)][B][U]Solved[/U][/B][/COLOR] [COLOR=rgb(89, 179, 0)]b) At what wavelength the power delivered takes its maximum? c) Find this maximum value.[/COLOR] [h2]Homework Equations[/h2] For b and c, you are using: λ[SUB]peak[/SUB] = 2.898 x 10[SUP]-3[/SUP]/T That aspect of this problem is easy and was solvable. For a, I would assume that one would use: P = σAT[SUP]4[/SUP] Problem is that the question doesn't give surface area at all, only λ. Plugging what was given doesn't produce the relationship at all (even squaring the given λ = 10 µm only produces 5.6 µW). I don't know if it is a bad question or missing something obvious. I also tried E = σT[SUP]4[/SUP] and got 5.7 W/cm[SUP]2[/SUP]. I would assume that I would have to calculate per 1 µm? The other alternative solution I tried was using Radiant flux density (Planck’s law): W = 2hc[SUP]2[/SUP]/λ[SUP]5[/SUP] x 1/(e[SUP](hc/λkT)[/SUP]-1) and the numbers still seem off. [h2]The Attempt at a Solution[/h2] From above. Also, based on the information above and solving part b and c that moving closer to the black body (2.898 µm) will produce the highest power and would dip off after as we approach 1 µm, but it feels like there is something missing in part a. [/QUOTE]
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Power Delivered From Black Body
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