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Spectral Power Distributions “blackbody” Planckian radiators
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Candle flame (1000K)
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100 W tungsten bulb (2856K)
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Halogen 600 W bulb (3400K)
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Sunlight (5500K)
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Skylight (12000K)
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Empirical fit: 2856K
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Empirical fit: 5500K
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Empirical fit: 2856K [400 – 700 nm]
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Empirical fit: 5500K [400 – 700 nm]
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h = Planck’s constant k = Boltzman constant c = speed of light λ = wavelength T = absolute temperature Planck’s Law: Empirical Theoretical
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Planck’s Law h = Planck’s constant k = Boltzman constant c = speed of light λ = wavelength T = absolute temperature
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Peak wavelength
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Wein’s Displacement Law: wavelength at peak output lambda max = b/T b = 2.898 x 10 -3 (m K) T = temperature Kelvins
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Total power
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2856K 5500K 6500K
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Stefan-Boltzman Law: total power output Total power = σ T 4 σ = Stefan-Boltzman constant T = temperature Kelvins
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Absolute vs. relative spectral power
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Radiometric constants: (ISO units, distance = meters) Constants: Planck's constanth6.63E-34J s speed of lightc3.00E+08m/s Boltzman's constantk1.38E-23J/K Wein's constantb2.90E-03m K Stefan-Boltzman constantσ5.670E-8W/m 2 K 4
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