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26 June, 18:27

A capacitor in an LC oscillator experiences a maximum potential difference of 88V and a maximum energy of 2002 uJ. At a certain instant the energy in the capacitor is 125 uJ. At that same instant the potential difference across the capacitor is closest to:

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  1. 26 June, 18:55
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    maximum energy of capacitor

    E = 1/2 C V ²

    C is capacitance of capacitor and V is potential difference

    given V = 88 V

    E = 2002 x 10⁻⁶ J

    Putting the values

    2002 x 10⁻⁶ = 1/2 x C x 88²

    C =.517 x 10⁻⁶ F.

    In the second case

    Energy E = 125 x 10⁻⁶ J.

    C =.517 x 10⁻⁶

    V = ?

    E = 1/2 C V ²

    125 x 10⁻⁶ = 1/2 x. 517 x 10⁻⁶ x V²

    V² = 483.55

    V = 21.98 V.
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