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Two-port network models

  1. Dec 14, 2013 #1
    1. The problem statement, all variables and given/known data
    Design a π section symmetrical attenuator to provide a voltage attenuation of 15 dB and a characteristic impedance of 600 Ω.

    image.jpg

    Zc=600Ω,[itex]\alpha[/itex]=15dB (attenuation)
    Z1,Z3=?

    2. Relevant equations


    3. The attempt at a solution

    [itex]\alpha[/itex][dB]=20log(Vin/Vout)=15
    [itex]\alpha[/itex]=5.623

    Vin/Vout=(Z1+Z2)/Z1

    Zc=√ZocZsc
    Zoc=(Z1(Z1+Z3))/(2Z1+Z3)
    Zsc=(Z1Z3)/(Z1+Z3)

    Zc=Z1√1-2/(2+Z3/Z1)

    Z1D=600

    Z3/Z1=4.623
    D=0.835

    Z1=718Ω
    Z3=3320Ω
     
    Last edited by a moderator: Dec 14, 2013
  2. jcsd
  3. Dec 14, 2013 #2

    NascentOxygen

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    Staff: Mentor

    I'd be inclined to show the arrows for Vin and Vout upside down to how you have, though I guess it makes no difference.

    Vin/Vout=(Z1+Z2)/Z1 should be Z3 not Z2

    Your figures give -15 dB, and 609.6 ohms for Zin
     
  4. Dec 14, 2013 #3
    I have made a typing error,it is Z3
     
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