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Kirchoff 's law in A/C

  1. Jun 25, 2007 #1
    Whether Kirchoff's Law Is Applicable In A/c.then Say How?
     
  2. jcsd
  3. Jun 25, 2007 #2
    Whether Kirchoff's Law Is Applicable In A/c.then Say How
     
  4. Jun 25, 2007 #3
    using impedance/reactance

    [tex]V=I|Z|[/tex]

    where Z is

    [tex]|Z|=\sqrt{R^2+ \chi ^2}[/tex]

    where [tex]\chi[/tex] is

    [tex]\chi = \chi _L - \chi _C[/tex]

    where [tex]\chi _L[/tex] and [tex]\chi _C[/tex] are

    [tex]\chi _L=2 \pi f L[/tex] and [tex]\chi _c= \frac{1}{2 \pi f C} [/tex]

    note: these equations only give you maximum or rms voltage or current

    for instantaneous use these, which if you don't know, are sinusoidal functions

    [tex]\tilde{V} = V_0e^{i(\omega t + \phi_V)}[/tex]

    and

    [tex]\tilde{I} = I_0e^{i(\omega t + \phi_I)}[/tex]

    [tex]\omega = 2 \pi f[/tex] and [tex]tan( \phi ) = \frac{ \chi}{R}[/tex]
     
    Last edited: Jun 25, 2007
  5. Jun 25, 2007 #4

    ranger

    User Avatar
    Gold Member

    It is very much applicable. The catch is that you should have them in complex form (phase and magnitude) and all listed currents and voltage must be of the same frequency.
     
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