induction/capacitance

Discussion in 'Homework Help' started by izaiyoi, Jan 28, 2008.

  1. izaiyoi

    Thread Starter New Member

    Nov 30, 2007
    3
    0
    The ac voltage v(t) =10sin(100pt) is applied separately across (i) and (ii) below:
    (i) a 1H inductor.
    (ii) a 1mF capacitor

    What are the frequency and rms values of the currents that flow in each instance?
     
  2. mik3ca

    Active Member

    Feb 11, 2007
    189
    0
    If you have a capacitor connected with the inductor, the frequency can be determined by:

    1 / (2 * pi * sqr(L * C))

    sqr = square root of.

    L = inductor value in Henries
    C = capacitor value in farads
    result = frequency in Hertz
    pi = the Pi button on your calculator.

    this might not help much, but it determines a frequency based on a capacitor and inductor connected to each other.
     
  3. Dave

    Retired Moderator

    Nov 17, 2003
    6,960
    144
    If I write v(t) =10sin(100pt) is equivalent to v(t) =Asin(2πft), can you draw an equivalence for the frequency? (I'm not sure what "p" is from your equation for the voltage).

    As for current you need to consider the current equations for:

    An Inductor: v(t) = L(di(t)/dt)

    A Capacitor: i(t) = C(dV/dt)

    A bit of differentiation and the fact that the RMS current can be calculated by: I(rms) = I(peak)/√2 and you are there.

    Dave
     
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