The Sun radiates at an effective temperature of 5780 K and has a radius of about 696,000 km. Remembering that 1 AU = 149,600,000 km, derive the approximate value of the solar flux at Earth's orbit. Compare your answer with the value given in the text
What will be an ideal response?
Given:
Effective temperature of Sun: Te= 5780 K; Te= ((S/4?)(1-A))1/4
Radius of Sun: r 0= 696,000 km
1 AU = 149,600,000 km
Solar Flux (S): S0= ?T04
S0= ?(5780)4
S0= 6.328 ? 107 W/m2
S = S0(r0/r)
S = 6.328 ? 107 (696,000/149,600,000)2
S = 6.328 ? 107 (2.164 ? 10-5)
S = 1370 W/m2
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