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The capacity of a battery to deliver charge, and thus power, decreases with temperature. The same is not true of capacitors. For sure starts in cold weather, a truck has a 500 FF capacitor alongside a battery. The capacitor is charged to the full 13.8 VV of the truck's battery. What is the ratio between the energy density per unit mass of the 9.0 kgkg capacitor system and the 130,000 J/kgJ/kg of the truck's battery.

Expert Solution
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Step 1

Given

Capacitance C = 500 F

Potential V = 13.8 V

Energy density per unit mass of battery

Ub = 130,000 J/kg

 

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