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An OPAMP with input offset voltage

Discussion in 'Electronics Homework Help' started by fgda, May 26, 2013.

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  1. fgda

    fgda

    2
    0
    May 26, 2013
    1. The problem statement, all variables and given/known data
    [​IMG]


    2. Relevant equations
    Superposition
    Non-inverting OPAMP: V_out = (1 + R/R)V_in = 2*V_in2
    Inverting OPAMP: V_out = -V_in
    V_os = 2.5mV

    3. The attempt at a solution

    1. V_in enabled, V_os disabled

    V_out1 = -V_in

    2. V_os enabled, V_in disabled

    To get V_out2, use the non inv. equation where V_in2 is equal to V_1 + V_os
    where V_1 is the node between R and R at the middle bottom of the circuit.
    V_out2 = 2*(V_1 + V_os)

    3. V_out = V_out1 + V_out2




    Is this the correct approach?

    Thanks in advance :)
     
  2. fgda

    fgda

    2
    0
    May 26, 2013
    I'm pretty sure that step 2 is correct. The professor did an example in class that was similar enough to that case. But in step 1, I have input voltage at both OPAMP terminals so I do not know what to do. I'd rather take the OPAMP as a black box with a characteristic equation if possible.
     
  3. KrisBlueNZ

    KrisBlueNZ Sadly passed away in 2015

    8,393
    1,271
    Nov 28, 2011
    OK I'll have a go. I have to assume that the op-amp has infinite input resistance.

    The formulas for the voltages at the two op-amp inputs are:
    1. . V_inverting_input = (Vin + Vout) / 2
    2. . V_non_inverting_input = Vout / 6

    This circuit has one stable condition because there is more negative feedback than positive feedback.

    Vin = +2.2V and the input offset voltage is 0.0025V. The question doesn't state which way the inputs are offset so I'll state the offset as +/- 0.0025V.

    3. . Vout / 6 = ((Vout + 2.2) / 2) +/- 0.0025

    After some simple rearrangements this formula yields
    4. . Vout = - (3.3 +/- 0.0075)

    Assuming no op-amp input offset, Vout = -3.3V. Plugging 2.2V and -3.3V into formulas 1 and 2 gives -0.55V for both op-amp inputs.

    With the input offset voltage included, Vout = -3.2925 or Vout = -3.3075 depending on the polarity of the offset.

    BTW shouldn't this be in the homework forum?

    Disclaimer: I think I have a complete understanding of the problem, and I think these explanations and formulas are comprehensively correct, accurate, and perfectly reasoned, but I could be completely wrong!
     
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