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Math Help - Xc = 1/2 pie fC

  1. #1
    Junior Member turbod15b's Avatar
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    Xc = 1/2 pie fC

    Xc = _1_
    piefC

    Capacitive Reactance (Xc) in Ohms
    Frequency (f) in Hz
    Capacitance (C) in Farads in a electrical circuit
    Taking 2pie as equal to 6.284

    a) how i make 'f' the subject?

    b) how do i calculate f when Xc = 318.47 Ohms, C = 1uF (equivalent to 1x10exp-6F)

    im really stuck
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by turbod15b View Post
    Xc = _1_
    piefC

    Capacitive Reactance (Xc) in Ohms
    Frequency (f) in Hz
    Capacitance (C) in Farads in a electrical circuit
    Taking 2pie as equal to 6.284

    a) how i make 'f' the subject?

    b) how do i calculate f when Xc = 318.47 Ohms, C = 1uF (equivalent to 1x10exp-6F)

    im really stuck
    The Greek letter \pi is spelled "pi" not "pie."

    a) X_C = \frac{1}{2 \pi fC}

    2 \pi C X_C = \frac{1}{f}

    Now invert the fraction:
    f = \frac{1}{2 \pi C X_C}

    b) f = \frac{1}{2 \pi \cdot 1 \times 10^{-6} \, F \cdot 318.47 \, \Omega} = 49.9749 \, Hz

    -Dan
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  3. #3
    Junior Member turbod15b's Avatar
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    Dec 2006
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    thank you
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