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ChristianKl comments on Stupid Questions May 2015 - Less Wrong Discussion
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Solar panels don't take that much space. Elon Musk has a nice graphic in yesterday's presentation of his new battery: https://youtu.be/yKORsrlN-2k?t=3m32s The amount of space required for enough solar panels to produce enough energy for the whole world is tiny.
Yep... take a look at this, one of the largest solar PV plants in the world:
https://www.google.com/maps/search/35.383333,-120.066667/@35.383333,-120.066667,12z/data=!3m1!1e3!4m2!2m1!4b1?hl=en&dg=dbrw&newdg=1
It supplies but ~1% of electric power for Los Angeles... However zoom until you can see Los Angeles itself, a little to the southeast.