Sketch the relationship of a VCVS amplifier

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SUMMARY

The discussion focuses on sketching the V_o vs V_i relationship for a Voltage Controlled Voltage Source (VCVS) amplifier. Participants clarify the ideal and practical relationships of operational amplifiers (opamps), noting that practical opamps approximate ideal behavior closely. The conversation highlights the importance of correctly labeling the VCVS terminals and understanding the relationship expressed as +/- V_s = μV_x, where V_s is the voltage source and μ is the gain factor. The need for clearer examples in educational materials is emphasized, as many learners struggle with the concept of controlled sources.

PREREQUISITES
  • Understanding of operational amplifier (opamp) characteristics
  • Familiarity with voltage controlled voltage source (VCVS) concepts
  • Basic knowledge of circuit diagram notation
  • Ability to interpret and sketch voltage vs. current relationships
NEXT STEPS
  • Study the characteristics of ideal vs. practical opamps
  • Research the mathematical representation of VCVS in circuit analysis
  • Learn about the implications of gain (μ) in VCVS applications
  • Explore common examples of controlled sources in electrical engineering
USEFUL FOR

Electrical engineering students, educators teaching circuit analysis, and professionals working with operational amplifiers and controlled sources will benefit from this discussion.

Kevin2341
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Homework Statement



"Sketch the V_o vs V_i relationship for a voltage controlled voltage source amplifier"

Homework Equations



none really

The Attempt at a Solution



Ok, so I understand and know by heart the ideal and the practical relationships for a (respectively) ideal and practical Opamp.

Here is an Ideal Opamp relationship
idealopamprelation.png


If it were practical, the "corners" of the graph would be curved (and from what I understand the opamps we have these days get those corners pretty darn close to ideal)

So, the question is, if I were to have a VCVS (voltage controlled voltage source), rather than just simply V_o and V_i, would I in place have +/- V_s = μV_x? I know its a pretty simple question, but I can't seem to find anything to help [my teacher has mentioned controlled sources in class, but never used them in examples so I don't really understand how the heck to use them)
 
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Kevin2341 said:

Homework Statement



"Sketch the V_o vs V_i relationship for a voltage controlled voltage source amplifier"

Homework Equations



none really

The Attempt at a Solution



Ok, so I understand and know by heart the ideal and the practical relationships for a (respectively) ideal and practical Opamp.

Here is an Ideal Opamp relationship
View attachment 56447

If it were practical, the "corners" of the graph would be curved (and from what I understand the opamps we have these days get those corners pretty darn close to ideal)

So, the question is, if I were to have a VCVS (voltage controlled voltage source), rather than just simply V_o and V_i, would I in place have +/- V_s = μV_x? I know its a pretty simple question, but I can't seem to find anything to help [my teacher has mentioned controlled sources in class, but never used them in examples so I don't really understand how the heck to use them)

First, on your figure, I'd move the Vi and Vo symbols closer to the axes that they should be marking (the +x and +y axes respectively).

And on your question, you have the figure right but I don't quite understand your red equation. What are Vx and Vs? The more traditional way to label a VCVS is shown on the right of the figure below. You can still use Vi and Vo for the labels of your VCVS terminals...

http://reference.wolfram.com/applic...LImages/CircuitElements/CircuitElements_4.gif

CircuitElements_4.gif
 
+/- V_s = μV_x

plus or minus of the Voltage source = multiplier for the controlled voltage source (voltage source represent by V of x).

That is how my book represents it.
 

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