Solving circuits with OP Amps (transfer functions)

Discussion in 'Homework Help' started by tomson, Sep 8, 2010.

  1. tomson

    Thread Starter New Member

    Sep 6, 2010
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    I have two sample tasks for calculating transfer functions in a circuits with operational amplifiers. I can't find any good source for solving this type of problems apart of this http://cnx.org/content/m0036/latest/, which is helpful a bit. Where to take the reference for measured voltages, and how KVL may be of any use if the circuits are opened (or am I just missing something) ?

    Task 1. Phase shifter.
    [​IMG]

    In proper solution I have 3 equations describing this circuit :
    U1=(R+1/sC)I2
    U1=2RfI2 + U2
    U2=-RfI1 + (1/sC)I2

    But where do we get this equations from and why ? Why U2 is not equal -U1 just as it is stated on the page from the link ? On what basis do we write the 2 equations for U1 ? Do we somehow transform this circuit ?

    Task 2.
    Here in solution I have only voltage transfer function given, and there are no currents arrows.
    [​IMG]

    And the voltage transfer function (U2/U1) for this circuit is :

    [​IMG]

    So I've tried solving this on my own :
    Current in upper most wire is I3, In the middle I2 and the bottom I1.

    U1 = (R3+1/sC)I2 (similar to task 1)
    U1 = (R1+R2)I2 + U2 (similar to task 1)
    U1 = R4I3 + U2
    U2 = no idea here
     
  2. Ghar

    Active Member

    Mar 8, 2010
    655
    72
    You need to go back to basic op-amps. Even that page you linked is a bit too deep I think.
    Doing homework that's well above you doesn't really help, figure out the basics first.

    First off, you don't sound very comfortable with circuit theory in general. Hopefully that you can pick up by doing these circuits.

    Don't you have a textbook to review?
     
  3. tomson

    Thread Starter New Member

    Sep 6, 2010
    16
    0
    I do but nothing helpful in there. Just these systems don't look like circuits to me, I don't even know where to get the reference points for measured voltages from. And material from the page is pretty basic an clear to me.
     
  4. Ghar

    Active Member

    Mar 8, 2010
    655
    72
    I'll have to disagree with that if you think U1 should equal -U2 or that the results of that page are directly applicable to your circuits.
     
  5. Sparkysea

    New Member

    Sep 8, 2010
    6
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    When the op-amp in the circuit is connected to degenerative feedback, the voltage of the positive input port U- and the voltage of the negative input port U+ are equal approximately.
    Do you take this point into consideration?
     
  6. tomson

    Thread Starter New Member

    Sep 6, 2010
    16
    0
    I'm not sure if they're applicable or not. It is just the only useful thing I was able to find.
     
  7. tomson

    Thread Starter New Member

    Sep 6, 2010
    16
    0
    Ok I've found some youtube videos concerning analysis of op amp circuits. Hope this will help.
     
  8. Ghar

    Active Member

    Mar 8, 2010
    655
    72
    tomson likes this.
  9. tomson

    Thread Starter New Member

    Sep 6, 2010
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    That is useful, thanks. Can samebody just tell me the directions of voltages in the second circuit ? I just need to check if I'm thinking right.
     
  10. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
    The additional key to solving such OP-amp circuits is to realize that the amplifier 'attempts' to regulate its output voltage such that the voltages at the input (+) and (-) terminals are equalized.

    So one writes and then re-arranges the various equations with the final goal of finding a solution which meets the condition V(+)=V(-). This will lead to a relationship for U2/U1 which is a result of that condition.

    In the circuit under consideration (Task 2) R4 will have no effect on the transfer function unless the (assumed) voltage source driving input U1 is non-ideal.
     
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