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Homework Help: Asymptotical values as ω ->0 and infinity

  1. May 16, 2010 #1
    1. The problem statement, all variables and given/known data
    Its an electrical circuit problem. I have obtained the Transfer function. I have substituted in the inductance/capacitance and resistance values and am now stuck on this part of the question:

    d) Find |H(ω)|, the modulus of H(ω), and determine its asymptotical values for ω = 0 and ω → ∞. Sketch the form of |H(ω)| and describe the behaviour of this circuit.

    2. Relevant equations

    Found the he modulus of H(ω) to be:
    [tex]\frac{sqrt{(1*10^{-11}\omega^2)^{2} + (5*10^{-6}\omega)^{2}}{\sqrt{(1*10^{-22}\omega^{4}-1.225*10^{-10}\omega^{2}+1)^{2}+(1*10^{-16}\omega^{3}+6*10^{-6}\omega)^{2}}}[/tex]


    3. The attempt at a solution

    if ω = 0 then modulus |H(ω)| =0
    as ω → ∞ i don't know what to do.

    do i divide everything inside the square root by ω^4

    in that case as ω → ∞, |H(ω)| also is 0. Is this correct?
     
    Last edited: May 16, 2010
  2. jcsd
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