• Question re circuit with controlled output resistance

    From Christopher Howard@christopher@librehacker.com to sci.electronics.design on Fri Aug 15 12:07:37 2025
    From Newsgroup: sci.electronics.design

    Hi. In Roberge's Op Amp book (2007 2nd ed) there is this practice
    problem:

    Assume that the operational-amplifier connection shown in Fig. 1.10
    satisfies the two conditions stated in Section 1.2.2. Use these
    conditions to determine the output resistance of the connection (i.e.,
    the resistance seen by the load).

    With the indicated conditions being:

    1. A negligibly small differential voltage applied between the two input terminals of the amplifier is sufficient to produce any desired output voltage.
    2. The current required at either amplifier terminal is negligibly
    small.

    Here is a reproduction of the diagram, basically just a non-inverting amplifier:

    ```
    ro+\
    ro!roCroCroCroCroCron+\
    ro| roe \
    Vi roe /ro|roCroCro<
    ro+ ro!roCron-/ ro!roCro|roCroCro<
    ro| roe ro|/ roeLOADroe
    GND roe ro#roCro4roCroCro>
    ro#roCroCroCroCroCroCroCroCron
    ro|
    R
    ro+
    ro|
    GND
    ```

    Is this a more complicated problem than it appears to be on the surface?
    The output resistance is just the resistor R, right? Or do I have to
    prove that?
    --
    Christopher Howard
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  • From JM@sunaecoNoChoppedPork@gmail.com to sci.electronics.design on Fri Aug 15 22:44:54 2025
    From Newsgroup: sci.electronics.design

    On Fri, 15 Aug 2025 12:07:37 -0800, Christopher Howard <christopher@librehacker.com> wrote:

    Hi. In Roberge's Op Amp book (2007 2nd ed) there is this practice
    problem:

    Assume that the operational-amplifier connection shown in Fig. 1.10
    satisfies the two conditions stated in Section 1.2.2. Use these
    conditions to determine the output resistance of the connection (i.e.,
    the resistance seen by the load).

    With the indicated conditions being:

    1. A negligibly small differential voltage applied between the two input
    terminals of the amplifier is sufficient to produce any desired output
    voltage.
    2. The current required at either amplifier terminal is negligibly
    small.

    Here is a reproduction of the diagram, basically just a non-inverting >amplifier:

    ```
    ?\
    ???????+\
    ? ? \
    Vi ? /????
    ? ???-/ ??????
    ? ? ?/ ?LOAD?
    GND ? ??????
    ??????????
    ?
    R
    ?
    ?
    GND
    ```

    Is this a more complicated problem than it appears to be on the surface?
    The output resistance is just the resistor R, right? Or do I have to
    prove that?


    What is the current through the load in terms of Vin and R?
    If you change the load by a factor of say x10, how much does the
    current through it change?
    What does that tell you about the impedance "seen" by the load?
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