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Homework Statement
Given the following info:
Solar output(modulus of the Poynting vector): [itex]1.4kW/m^2[/itex]
Earth radius: 6370km
Average Earth orbit radius: [itex]1.49*10^11 m[/itex]
Find the total power output of the Sun, power received on the Earth, and the power received in Spain if its surface area is 5*10^2 km^2 and is at a latitude of 40 N.
Homework Equations
Poynting vector formula?
The Attempt at a Solution
I managed to get the right answer for the power received on the Earth, but I'm not sure how to proceed with the other 2 questions. Wouldn't the power received at a given latitude depend on the time of the year? I found this applet that calculates it for you and apparently at 40 N, the solar output never reaches 1.4kW at any time of the year:
http://pvcdrom.pveducation.org/SUNLIGHT/SHCALC.HTM
... so I'm guessing I'll have to resort to spherical trigonometry some way or another? I am given no other info and this is a course purely on electromagnetic optics.