transfer function for passive filter

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Discussion in 'Homework Help' started by notoriusjt2, Nov 7, 2010.

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  1. Nov 7, 2010 #1
    notoriusjt2

    Thread Starter Member

    Feb 4, 2010
    209
    1
    [​IMG]

    the book gives me

    Laplace impedance for a capacitor is Z=V/I=1/Cs

    what is the Laplace impedance for an inductor? Z=Ls?

    so would Vout=(Zc/R+Zc+ZL)Ein
    (1/Cs)/(R+Ls+(1/Cs))
    im getting
    1/RCs+LCs for an answer
     
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  2. Nov 7, 2010 #2
    mik3

    Senior Member

    Feb 4, 2008
    4,846
    69
    The correct answers are d and e.
     
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  3. Nov 7, 2010 #3
    hgmjr

    Moderator

    Jan 28, 2005
    9,030
    218
    You are so close.

    hgmjr
     
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  4. Nov 7, 2010 #4
    hgmjr

    Moderator

    Jan 28, 2005
    9,030
    218
    Mik3, Initially I thought as you did. On closer inspection I think you will find that answer e. does not equate to d.

    hgmjr
     
    #4 Reply
  5. Nov 7, 2010 #5
    mik3

    Senior Member

    Feb 4, 2008
    4,846
    69
    Ohhh, yes you are right. The correct answer is d. The numerator of e should be 1/LC as for e to equal d.
     
    #5 Reply
  6. Nov 7, 2010 #6
    hgmjr

    Moderator

    Jan 28, 2005
    9,030
    218
    Yeah. Like I said, I initially drew the same erroneous conclusion but then looked closer and realized my ooppss.

    hgmjr
     
    #6 Reply
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