Designing a Double Zobel Network

Discussion in 'Homework Help' started by ats314, Nov 1, 2015.

  1. ats314

    Thread Starter New Member

    May 19, 2014
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    Hi all, thank you for reading,

    I have been an assignment to design a "double zobel" network.

    The first image is Part 1 of the assignment. It's instructions are to prove the Z(in) is purely resistive for the circuit shown. Based on the fact that R=8 ohms and L =400uH, I have calculated C to be 6.25uF.
    View attachment 93914

    I believe I have done part 1 circuit analysis correctly. I was able to show Z1 as (8-8i) and Z2 as (8+8i), indicating resonant frequency. I also calculated Z(in) to be 8ohms and purely resistive. If anyone sees any problem with my work in Part 1, please let me know.
    View attachment 93916

    The third image I have shown is the LTspice build of the circuit. Along with the circuit build, i have run an ac analysis using a 1A current, in and have measured for V(in). My assumption was that since Z=V/I, if I sent I=1, then Z=V, so whatever I measured for the input voltage would equal my impedance, which shows at 8V, same as the 8ohm impedance. Is there a way to run the spice analysis at resonant frequency so that I can show a purely real result?
    View attachment 93917


    Part 2 is where I am struggling. I really honestly don't even know where to begin other than plugging random numbers into LTspice. The purpose is to design a network based on the circuit shown and the values given that would result in a purely real and purely resistive input.
    View attachment 93915

    My first problem with this circuit is how you would even go about determining a resonant frequency, given that you have so many unknown values, and I don't know which values of L and C to plug into the formula, because there is more than one L and more than one C. I have played around in LTSPice, and came up with a circuit that appears to be purely resistive, and Vin is close to Vout, but it is not purely real, and I don't know how to make it both without simply guessing. Is there a way to use circuit analysis to solve this problem?
    View attachment 93918

    Thank you for reading. I will be here all day to take advise.
     
  2. JoeJester

    AAC Fanatic!

    Apr 26, 2005
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  3. ats314

    Thread Starter New Member

    May 19, 2014
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    0
  4. Jony130

    AAC Fanatic!

    Feb 17, 2009
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    You can simply pick L1 and R2 value for example L = 400μH and R2 = 8Ω and then find C1 and R1 in similar way as you did in Part 1.
     
  5. ats314

    Thread Starter New Member

    May 19, 2014
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    That doesn't work. First off, the alignments of the L1, R2, R1, C1 are different than in the 1st problem. If that worked, you could just enter the exact same values as the first problem. That is not the solution. In that case, the whole circuit is not purely real or purely resistance. The whole circuit has to be, including the given values. Not just that one part.
     
  6. JoeJester

    AAC Fanatic!

    Apr 26, 2005
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    Can you identify which two are Zobel networks and which two are being compensated on your diagram?
     
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