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8 June, 11:03

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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  1. 8 June, 11:29
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    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
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