Non-Inverting Operational Amplifier.

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Discussion Overview

The discussion revolves around the analysis of a non-inverting operational amplifier (Op-Amp) circuit, specifically addressing how to incorporate the source resistance (R_s) into the gain formula. Participants explore the implications of high input impedance and the foundational principles governing Op-Amps.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant presents the basic gain formula for a non-inverting Op-Amp and questions the role of R_s in determining the output voltage (V_O).
  • Another participant asserts that the high input impedance of the Op-Amp means that R_s does not affect the gain, as there is no current into the inputs.
  • A different participant emphasizes the importance of understanding the principles behind Op-Amps rather than relying solely on memorized formulas, suggesting that R_s can be neglected due to negligible current at the inputs.
  • Another participant references the "golden rules" of Op-Amps, indicating that the input draws no current, which supports the argument that R_s has no effect on the circuit's behavior.
  • Participants acknowledge that different expressions for V_O can be valid and may lead to the same solution, indicating a level of agreement on the approach but not necessarily on the specific calculations.

Areas of Agreement / Disagreement

While there is some consensus on the negligible effect of R_s due to the high input impedance of the Op-Amp, the discussion contains differing views on the necessity of foundational understanding versus formulaic approaches. No definitive resolution is reached regarding the treatment of R_s in this context.

Contextual Notes

Participants reference foundational principles and rules of Op-Amps, but there is an implicit assumption that these rules are universally applicable. The discussion does not resolve the specific mathematical implications of R_s in all scenarios.

MushManG
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Good evening.

Right. My question is one of a simple nature, I think.

Anyways, consider the following non-inverting Op-Amp design:

http://www.freewebs.com/mushg/FWThumbnails/OpAmp.bmp

Now, the basic formula for any non-inverting opamp is of course \frac{V_{O}}{V_{S}} = 1 + \frac{R_{2}}{R_{1}}

Meaning that V_{O} = V_{S} + \frac{V_{S}R_{2}}{R_{1}}

I'm trying to find V_{O}

My question, how do I take into account theR_{S} In this situation? Does it have any bearing at all, if so, what?

Thanks
 
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Well, since the inputs are very high impedance, there's no current into them. Hence the R_s has no effect on the gain.
 
Hi,

Rs= 1.2k has nbo bearing at all. You cannot simply memorize the formulae for inverting and noninverting amps and solve every opamp question. You need to do it fron first principles. Heres how.

1. V+= V- (thats a given)
2. I= = I-= 0A (very little or no current in the order of pico amps enters intoi the terminals of the opamp ...it can be neglected)
3. You have an expression for V- being V-= Vout(5k)/(15K) by voltage divider and you have V+= 2A (no V drop across Rs as I+= 0A)

<< final solution deleted by berkeman >>
 
Last edited by a moderator:
Points (1) and (2) that unplebeian mentions are often coined, the golden rules of op-amps and may be applied to these kinds of questions.
Using, the rule: input to an op-amp draws (essentially) no current, you can easily deduce what happens to Rs.
You can use the expression that unplebeian describes in point (3). However your own expression for Vo is equally valid and will agree in solution.
 

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