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Op Amp Question

  1. Oct 13, 2016 #1
    1. The problem statement, all variables and given/known data
    gyYAnxa.png
    Determine the output voltage Vo(t) in terms of Vs

    2. Relevant equations


    3. The attempt at a solution
    If I were to use Nodal Analysis to solve this, would these be the proper nodal equations?[tex]\frac{V1}{-j1.6} + \frac{V1-Vs}{175} = 0[/tex]
    [tex]\frac{V_{I2}-Vo}{10k} + \frac{V_{I2}}{1k} = 0[/tex]
     
  2. jcsd
  3. Oct 13, 2016 #2

    gneill

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    Staff: Mentor

    Sure, those would be a good start.
     
  4. Oct 13, 2016 #3
    Is V1 = V2?
     
  5. Oct 13, 2016 #4

    gneill

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    Staff: Mentor

    Well, it's an ideal op amp with feedback to the negative input. So that would be a yes.
     
  6. Oct 13, 2016 #5
    I end up with:
    j25.45Vo + 0.233Vo = 2.56Vs
    Does this look good so far?
     
  7. Oct 13, 2016 #6

    gneill

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    Staff: Mentor

    I think that looks okay. Hard to tell without seeing the full derivation, but it certainly yields a result for Vo that's almost spot on compared to what I calculate.
     
  8. Oct 13, 2016 #7
    How far off am I compared with your results?
     
  9. Oct 13, 2016 #8

    gneill

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    Staff: Mentor

    Within plausible rounding error range. The expression you provided was not in a typical final form, since Vo was not isolated. So I "solved" it for Vo in terms of Vs and compared the proportionality constant with what I derived. Here:

    upload_2016-10-13_16-56-1.png
     
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