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1. A city is at latitude 40 degrees north. A solar farm consisting of 100 solar panels, each panel with area 1 square meter,

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1. A city is at latitude 40 degrees north. A solar farm consisting of 100 solar panels, each panel with area 1 square meter, is installed in that city. All 100 panels are tilted south by its latitude. a. What is the clear sky insolation on the summer solstice (June 21) at noon for each panel? b. Assuming no cloud cover, what is the total energy, in kWh, that the solar farm will collect during the entirety of that day (June 21)? c. Assuming no cloud cover, what is the total energy, in kWh, that the solar farm will collect during an entire year? d. Repeat a., b., and c., but now assuming the panels each have 1-axis tracking. 2. Repeat question 1, but for a city at 50 degrees N latitude, and panels tilted at latitude. 3. We will compare the theoretical city in question 1 with a real city at 40 degrees latitude. a. Repeat question 1c, but for the city of Boulder, CO, which is at latitude 40.02 degrees N (i.e. very close to 40 degrees). Do NOT neglect cloud cover. Hint: The last column gives the average insolation per day over the year. b. For a fixed (no tracking) panel tilted at latitude, over the course of the year, what percentage of the solar insolation is blocked by clouds in Boulder? Hint: clouds are what account for the difference between 1c and 3a.

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