Argument of a transfer function

Discussion in 'Homework Help' started by adashiu, Apr 29, 2011.

  1. adashiu

    Thread Starter New Member

    Nov 27, 2008
    8
    0
    [​IMG]

    Hi Guys !
    I need to calculate an argument of a transfer function of this circuit.

    I calculated H(jω)=(1+R2*C*jω) / (1+C*(R1+R2)jω)

    and |H(jω)|=(√(1+(R2*C*ω)^2)) / (√(1+ω^2*C^2*(R1+R2)^2)

    Is it correct ? How to calculate an argument ?
     
  2. jegues

    Well-Known Member

    Sep 13, 2010
    735
    43
    Your transfer function looks good to me.

    The argument of the transfer function in the following form,

    \frac{a + jb}{c + jd}

    Is given as follows,

    Tan^{-1}(\frac{b}{a}) - Tan^{-1}(\frac{d}{c})
     
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