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

Shelly

20 January, 00:54

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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Mcduff · 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