Question re circuit with controlled output resistance

Aug 15, 2025 Last reply: 11 months ago 1 Replies

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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