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Assuming a battery capacity of 24 kWh (Nissan Leaf), how long does it take to fu

ID: 1919537 • Letter: A

Question

Assuming a battery capacity of 24 kWh (Nissan Leaf), how long does it take to fully charge an electric car from a 120 V outlet at 12 A? 208 V outlet at 30 A (upper Hearst lot charger)? Tesla Motors has installed electric vehicle "superchargers" around the state that provide 255 A at 350 V. What is the power delivered by these chargers? How long does it take to charge an 85 kWh battery (Model S)? The total sunlight at noon on a clear summer day is just over 1 kW/m2. Assuming a solar panel with 20% efficiency, and an output voltage of 20 V. estimate the output current of a one square meter panel in full sunlight.

Explanation / Answer

7.
Power from outlet =120*12=1440W =1.44KW
time to charge battery fully
t=24/1.44

t=16.67 hours

power from outlet =208*30=6240W =6.24KW

t=24/6.24 =3.846 hours 3.85 hours

8.

power delivered to battery=255*350 =89,250W =89.25KW

time taken to charge the battery

t=85/89.25 =0.95 hours

9.

output power =input power*efficency

output power P=1KW/m2*0.2 =0.2KW/m2

P=VI

current I=P/V

I=0.2*103/20 =10A

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