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Homework Help: Finding Voltage Gain

  1. Dec 9, 2017 #1
    1. The problem statement, all variables and given/known data

    ee9b9a382f.png
    2. Relevant equations


    3. The attempt at a solution

    I can't seem to figure out the answer. Apparently, the right method involves saying that Vs is actually equal to the voltage Vgs + voltage across R1. I don't understand how Vs could be voltage across R1?
    This is what I have so far
    a5e972b8b2.png

    I think the first two bullet points that I wrote are correct but 99% sure that the circuit transformation I did is completely wrong.
     
  2. jcsd
  3. Dec 9, 2017 #2

    NascentOxygen

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    Staff: Mentor

    I wouldn't call Rs a short circuit just because there is no current through it!

    Vs = voltage across Rs + Vgs + voltage across R1
    because these voltages are in series between the point where the potential is Vs and the point where the potential is zero volts (ground)
     
  4. Dec 9, 2017 #3
    Oh. I see. So you're sort of looking at it like this. And that's how u found out what Vs breaks down into

    ea42108fbd.png

    Arrow doesn't mean current.
     
  5. Dec 9, 2017 #4

    NascentOxygen

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    Staff: Mentor

    Yes. For every path traced between 2 nominated points, the total potential will be equal.
     
  6. Dec 9, 2017 #5
    Great! Thank you very much. I think I should be able to get it from here.
     
  7. Dec 9, 2017 #6
    I take that statement back. I'm stil stuck :(
    b551abc9b3.png

    I just went in a full circle back to the equation I started with...
     
  8. Dec 9, 2017 #7

    NascentOxygen

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    Staff: Mentor

    Express VR1 in terms of the current through R1.
     
  9. Dec 10, 2017 #8
    c39867768b.png
     
  10. Dec 15, 2017 #9

    donpacino

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    Gold Member

    I suggest you go back just one step.

    You have a dependent source (gmVgs) that relies on an internal voltage (vgs). you need to relate that internal voltage to component values and independent sources.

    Write out the expression as Vgs =? as a function of Vs, gm, R1, and constants.

    Once you get that expresion, you already stated that the output is -gmVgsR2, you should be able to solve for your transfer function Vo/Vs. You're very close

    Also just a note, pay attention to this model, it will become more important as you learn more about circuitry. It is the small signal model for a type of transistor, a MOSFET
     
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