Op-Amps Circuits: Explaining Prof's Method

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Discussion Overview

The discussion revolves around understanding a method used by a professor to analyze op-amp circuits, specifically relating to the application of Thevenin's theorem and nodal analysis. Participants are seeking clarification on the logic behind the professor's approach and how it leads to a specific voltage calculation.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • Some participants express confusion over the professor's method, noting that they can arrive at the same answer using nodal analysis but find the professor's approach more elegant.
  • One participant describes the Thevenin equivalent circuit, outlining the components involved, including the voltage generator and the resistor, and how they relate to output voltage and current.
  • Another participant attempts to follow the professor's logic regarding the voltage at node $V_A$, questioning how the relationship $V_A=\frac{10}{40}V_s=\frac{V_s}{4}$ is derived.
  • A participant suggests that if the output node is open, the current through the resistors must be the same, leading to a conclusion about the voltage relationship between the resistors.

Areas of Agreement / Disagreement

Participants generally express confusion and seek clarification on the professor's method, indicating that multiple interpretations or understandings exist regarding the analysis of the circuit. No consensus is reached on the explanation of the professor's approach.

Contextual Notes

Participants reference specific calculations and relationships between voltages and currents in the circuit, but the discussion does not resolve the underlying assumptions or steps in the analysis.

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Can anyone explain to me what my professor did? I am able to get the same answer, but not without a page of nodal analysis. It seems quite elegant and none of my friends know what method she used. Thanks!
 

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Rido12 said:
Can anyone explain to me what my professor did? I am able to get the same answer, but not without a page of nodal analysis. It seems quite elegant and none of my friends know what method she used. Thanks!

The Thevenin equivalent of a linear electrical network is composed by a voltage generator $V_{T}$ in series with a resistor $R_{T}$...$V_{T}$ is the output voltage when the output node is open [output current is 0...], $I_{T}$ il the otput current when the output node il shorted to ground [output voltage is 0...] and finally $R_{T} = \frac{V_{T}}{I_{T}}$...

Kind regards

$\chi$ $\sigma$
 
Hi $\chi \sigma$,

I have done that and applied nodal analysis at node $V_T$ and at ground, but I am unable to follow the logic presented by my professor:

$$V_A=\frac{10}{40}V_s=\frac{V_s}{4}$$
How did she get this?
 
Rido12 said:
Hi $\chi \sigma$,

I have done that and applied nodal analysis at node $V_T$ and at ground, but I am unable to follow the logic presented by my professor:

$$V_A=\frac{10}{40}V_s=\frac{V_s}{4}$$
How did she get this?

If the output node is left open, then the current in the 10 k and 30 k resistors must be the same, and that means that the voltage on the 30 k resistor is three times the voltage on the 10 k resistor...

Kind regards

$\chi$ $\sigma$
 

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