EEE463_Homework10_Solution_F07

# EEE463_Homework10_Solution_F07 - According to El-Wakil(p...

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According to El-Wakil (p. 541), the terrestrial radiation received by the continental U.S. is about 2.2×10 16 kW·hr/yr. If a typical solar cell has a conversion efficiency of 12%, determine how long it would be before the entire surface of the U.S. is covered with solar panels if all of the electricity was produced this way. Utilize the electricity use datum from 2006 (see Homework #1) as the baseline, and assume that the electrical consumption rate grows at a constant rate of 2.5% per year. Solution From Homework #1, the total electricity use in the U.S. in 2006 was 4,052,967,846 thousand kWe·hr = 4.053×10 12 kWe·hr First, calculate the solar electricity potential based on the incident energy and the solar cell efficiency ( ε ) kW·hr/yr 10 64 . 2 kW·hr/yr) 10 2 . 2 )( 12 . 0 ( 15 16 incident possible × = × = = E E ε We can use the financial type equations for the future value due to the growth of an initial principal amount of money (in this case energy) in order to find the number of years until the
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