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Help!! Physics

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What capacitance in needed in series with an 785 µH inductor to form a circuit that radiates a wavelength of 199 m?

  • Help!! Physics - ,

    c = speed of light = 3 * 10^8 m/s

    199 = c T
    T =199/3*10^8
    f = 1/T = 300* 10^6/199 = 1.51 * 10^6 Hz

    omega = 2 pi f = 9.47 * 10^6
    omega^2 = 1/(LC) = 89.7*10^12
    so
    C (785 * 10^-6) = (1/89.7) 10^-12
    C = (1/70414) 10^-6
    = 1.42 * 10^-5*10^-6 = 1.42 * 10-11

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