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Op Amp : Design the circuit such that

  1. Oct 10, 2012 #1

    ElijahRockers

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    Gold Member

    1. The problem statement, all variables and given/known data

    JrxFC.jpg
    Assume the op amp is ideal.
    Design the circuit such that Vo = Va + 2Vb + 3Vc

    3. The attempt at a solution

    Not sure how to go about this one.

    I started with

    [itex]\frac{V_a}{R_a}+\frac{V_b}{15k}+\frac{V_c}{R_c} = 0[/itex] since the op amp is ideal, the sum of the currents going into the non-inverting input must be 0.

    From here I haven't got any ideas how to proceed. But what is the voltage at the inputs? I'm assuming it's zero because Vn/20k = 0 : Vn = 0

    EDIT: Alright I found Ra to be 30k, Rc to be 10k. Now I have to find the currents ia, ib, and ic, when Va=.5, Vb=.7, and Vc=1.2. Shouldn't that just be Va/Ra =ia? I know one of them must be negative since the total current flowing in must be 0, but how do I know which one?

    I found Vo =5.5 at those values for Ra,Rb,Va,Vb,Vc.

    Ok.... I figured it out. I guess sometimes it just helps to type it out on a forum haha. For anyone wondering, Vo=6Vn (by KCL at the negative terminal). Since Vo = 5.5, then Vn = .9166...
     
    Last edited: Oct 10, 2012
  2. jcsd
  3. Oct 10, 2012 #2

    rude man

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    This equation is incorrect. Write down the correct KVL equations.
     
  4. Oct 11, 2012 #3

    NascentOxygen

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    Staff: Mentor

    You really can't get "Vo = 5.5" when the op-amp has supply voltages of ±5 volts.
     
  5. Oct 11, 2012 #4

    rude man

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    How can you get numerical answers of any kind when your inputs are symbols?
    Are you pulling somebody's leg? :uhh:
     
  6. Oct 11, 2012 #5
    I founded an ebook that very helpful for you: Op amp for every one

    www.ti.com/lit/an/slod006b/slod006b.pdf [Broken]
     
    Last edited by a moderator: May 6, 2017
  7. Oct 11, 2012 #6

    NascentOxygen

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    Staff: Mentor

    See post #1
     
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