MadSci Network: Engineering |
Hi, Tim!
Let's try for a "ballpark" answer. We'll just use one significant digit, so we'll call the total US land area 1 x 107 (10 million) sq. km. A square kilometer contains 1 x 106 (one million) square meters, and bright sunlight's intensity is about 1 kilowatt per square meter. Let's use a figure of 20% efficiency for the solar cells. Multiply it all out and you get 2 x 1012 kilowatts, or 2,000,000,000,000 (two trillion) kilowatts. Let's say we have 5 hours of bright sunlight on average available per day, and that makes ten trillion (1 x 1013) kilowatt-hours (kWh) per day.
According to the US government, we use about 3.4 trillion kWh of electricity per year. That's about 10 billion (1 x 1010) kWh per day.
Dividing our current needs by the potential supply of electricity from solar cells, we get:
1 x 1010 kWh/day
-------------------- = 1 x 10-3
1 x 1013 kWh/day
Multiply that by the total US land area and we get 1 x 104 sq. km. Arizona's land area is about 3 x 105 sq. km, so a hunk of southwestern desert about 3% of the size of that state should suffice nicely. Expressed more intuitively, we're talking about a square of desert only about 100 km (60 miles) on a side.
Regards,
Aaron
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