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


    The impedance evaluated at s= 0 is:

    Z(0)=1.8k Ohm

    Poles at:
    Zeros at:

    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

  2. shteii01

    AAC Fanatic!

    Feb 19, 2010
    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
    Using MATLAB, I found that I can rewrite the equation as follows:

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