Build a circuit according to a Zero-Pole plot.

Discussion in 'Homework Help' started by omar-rodriguez, Feb 15, 2016.

  1. omar-rodriguez

    Thread Starter Member

    Jun 24, 2015
    51
    2
    Hello, I have to find a circuit that meets the following Zero-Pole diagram of a imput impedance:

    [​IMG]

    The impedance evaluated at s= 0 is:

    Z(0)=1.8k Ohm

    Poles at:
    P1=2.58*10^6j
    P2=-2.58*10^6j
    Zeros at:
    C1=-2.78*10^5+2.57*10^6j
    C2=-2.78*10^5-2.57*10^6j

    The only clue I have is that the circuit has a resistor, a capacitor and a coil, but I don't know the topology.

    I think that if the poles are imaginary conjugates then the answer has to be without loss or oscillatory, but I'm not sure, the input impedance could be this way

    [​IMG]
     
  2. shteii01

    AAC Fanatic!

    Feb 19, 2010
    3,388
    497
    Your Zin(s) has s factored out. That is a problem because:
    - Z capacitor is \frac{1}{sC}
    - Z of inductor is sL
    As you can see s is not factored out, so you have to rewrite your Zin(s) in such a way that you would have sL and \frac{1}{sC} in it. Once you rewrite it, you will see where you have capacitor and where you have inductor.
     
  3. omar-rodriguez

    Thread Starter Member

    Jun 24, 2015
    51
    2
    Using MATLAB, I found that I can rewrite the equation as follows:
    [​IMG]

    but it doesn't help much, I was seeing if there is any similarity with the input impedance of this circuit
    [​IMG]
     
    Last edited: Feb 15, 2016
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