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Homework Help: Working out the impedance of a network query

  1. Oct 28, 2011 #1
    1. The problem statement, all variables and given/known data

    Calculate the J notation impedance of the network

    We have an inductor in series with a resistor and both in parallel with a capacitor.


    2. Relevant equations



    3. The attempt at a solution
    i believe it is true that if I was to say: if I have an inductor in parallel with a capacitor then:

    Product/Sum = XL*-XC/XL-XC

    This would then go like (XL*-XC)(XL+XC) / (XL-XC)(XL+XC) because of complex conjugate.

    If this then was as above in the original setup:

    We have an inductor in series with a resistor and both in parallel with a capacitor.

    then could you say:

    (R+JXL)*(-JXC) / (R+JXL-JXC) or (R+J(XL-XC))

    Could I then say by complex conjugate:

    ((R+JXL)*(-JXC)) (R-J(XL-XC)) / (R+J(XL-XC)) (R-J(XL-XC))

    Thanks for any help in advance, it is much appreciated.
     
    Last edited: Oct 28, 2011
  2. jcsd
  3. Oct 29, 2011 #2

    ehild

    User Avatar
    Homework Helper

    It looks correct.


    ehild
     
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