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27 May, 19:26

Lc circuit consists of a 20.0 mh inductor and a 0.400 µf capacitor. if the maximum instantaneous current is 0.500 a, what is the greatest potential difference across the capacitor

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  1. 27 May, 23:12
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    The governing equation for this situation is the energies in both the inductor and the capacitor. These two energies must be equal and are shown by the equation below:

    LI^2/2 = CV^2/2,

    Where

    L = 20.0 mH = 20*10^-3 H

    I = 0.5 Amps

    C=0.4 uf = 0.4*10^-6 F

    Substituting;

    (20*10^-3*0.5^2) / 2 = (0.4*10^-6*V^2) / 2

    0.0025 = 2*01^-7V^2

    V^2 = 0.0025 / (2*10^-7) = 12500

    V = Sqrt (12500) = 111.8 V

    The greatest potential across the capacitor is 111.8 V.
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