Lab 4 - black body in unit time is directly proportional to...

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Electromagnetic Radiation
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10 minutes
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Good to do the math with units first to make sure  you get the units you want m, µm, or nm?
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( 29 2 5 2 , where 1 x hc hc L x k T e λ = = - 4 c speed of light 3.00 × 10 8 ms –1 h Planck’s constant 6.63 × 10 –34 Js k Boltzmann’s constant 1.38 × 10 –23 JK –1
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University of Tennessee Planck  Law Radiation Distributions http://en.wikipedia.org/wiki/Stellar_classification http://en.wikipedia.org/wiki/Planck's_law_of_black_body_radiation
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Differentiate Plank’s Law, set equal to  zero   formula which gives  maximum radiance for a  blackbody of a given temperature λ  (µm) = b/T Where  b is Wien’s displacement constant   2898µm/˚K T is temperature in Kelvin λ  (µm) is the peak wavelength University of Tennessee Wien Law
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Total energy radiated per unit surface area of a 
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Unformatted text preview: black body in unit time is directly proportional to the fourth power of the black bodys absolute temperature 4 E L d T = = Stefan-Boltzmann constant 5.67 10 8 Wm 2 K 4 University of Tennessee Stefan-Boltzmann Law ( 29 ( 29 ( 29 ( 29 2 2 5 5 2 2 1 1 So 1 ln Or ln 1 B B hc k T hc k T B hc k T hc k T hc hc e e hc T e k hc T k e =--= +-=- + c speed of light 3.00 10 8 ms 1 h Plancks constant 6.63 10 34 Js k Boltzmanns constant 1.38 10 23 JK 1 = = =-1 , so and speed of light, m/ s wavelength, m (but we often use m or nm) frequency, Hz (s ) c c c c 9 Unit Conversion...
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Lab 4 - black body in unit time is directly proportional to...

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