For approximate calculations, the sun may be considered a black body, emitting radiation with maximum intensity at 1 = 0.5 microns (5000 Â). On this basis, estimate (a) the surface temperature of the sun and (b) the emitted heat flux at the surface of the sun. Solution. a. From Wien's displacement law, 0.2884 (0.2884 cm ° K) T = Amax = 5760° K = 10,400° R (0.5 x 104 cm) b. From the Stefan-Boltzmann law, - (0.1712 x 10-8)(10,400)ª = 2.0 x 10' Btu hr" ft-2

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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For approximate calculations, the sun may be considered a black body, emitting
radiation with maximum intensity at 1 = 0.5 microns (5000 Â). On this basis,
estimate (a) the surface temperature of the sun and (b) the emitted heat flux at the
surface of the sun.
Solution.
a. From Wien's displacement law,
0.2884 (0.2884 cm ° K)
T =
Amax
= 5760° K = 10,400° R
(0.5 x 104 cm)
b. From the Stefan-Boltzmann law,
- (0.1712 x 10-8)(10,400)ª
= 2.0 x 10' Btu hr" ft-2
Transcribed Image Text:For approximate calculations, the sun may be considered a black body, emitting radiation with maximum intensity at 1 = 0.5 microns (5000 Â). On this basis, estimate (a) the surface temperature of the sun and (b) the emitted heat flux at the surface of the sun. Solution. a. From Wien's displacement law, 0.2884 (0.2884 cm ° K) T = Amax = 5760° K = 10,400° R (0.5 x 104 cm) b. From the Stefan-Boltzmann law, - (0.1712 x 10-8)(10,400)ª = 2.0 x 10' Btu hr" ft-2
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