To provide the pulse of energy needed for an intense bass, some car stereo systems add capacitors. One system uses a 2.4F capacitor charged to 24 V, double the normal 12 V provided by the car's battery. How much energy does the capacitor store at 12 V? How much energy does the capacitor store at 24 V?

Question

Physics

London Fox

7 June, 11:39

To provide the pulse of energy needed for an intense bass, some car stereo systems add capacitors. One system uses a 2.4F capacitor charged to 24 V, double the normal 12 V provided by the car's battery. How much energy does the capacitor store at 12 V? How much energy does the capacitor store at 24 V?

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Gunnar Vaughan · Answer 1

Energy stored in a capacitor

= 1/2 CV²

C is capacitance and V is potential of the capacitor.

When capacitor is charged to 24 V,

E₁ = 1/2 x 2.4 x 24 x24 = 691.2 J

When it is charged to 12 volt

E₂ = 1/2 CV²

.5 X 2.4 X 12 X12

= 172.8 J