Is Vb 0V in this Op-Amp circuit?

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Homework Help Overview

The discussion revolves around an operational amplifier (op-amp) circuit, specifically questioning whether the voltage at node Vb is 0V. Participants are exploring the implications of this assumption in the context of nodal analysis and the properties of ideal op-amps.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the known voltages at other nodes and the need for nodal analysis at node b. There is uncertainty about proving the assumption that Vb=0V, with some questioning the logic behind this assumption.

Discussion Status

Participants are actively engaging with the problem, sharing their equations and reasoning. Some guidance has been offered regarding the properties of the op-amp and the relationship between nodes f and c, but there is no explicit consensus on the value of Vb.

Contextual Notes

There is mention of imposed homework rules requiring proof of given answers for each node, which adds a layer of complexity to the discussion. Participants are also dealing with multiple unknowns in their equations, which may affect their ability to resolve the question of Vb.

Cocoleia
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Homework Statement


upload_2017-1-23_19-19-16.png


I am wondering if in this circuit Vb will be 0V?

Homework Equations

The Attempt at a Solution


I have found all the other ones, but I am unsure if Vb will be 0 or not, and if it is then what is the logic behind it?
 
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If you've found all the others then you must know the voltage at node c. That means you have everything you need to do nodal analysis for node b.
 
gneill said:
If you've found all the others then you must know the voltage at node c. That means you have everything you need to do nodal analysis for node b.
Not quite, I am given the answers for each node and asked to prove that they are right, all of my proof uses the fact that Vb=0, but I don't know how to prove that
 
Cocoleia said:
Not quite, I am given the answers for each node and asked to prove that they are right, all of my proof uses the fact that Vb=0, but I don't know how to prove that
Then you need to analyze the circuit, starting by using the properties of the ideal op-amp. Start by finding the potential at its + input (node f).
 
gneill said:
Then you need to analyze the circuit, starting by using the properties of the ideal op-amp. Start by finding the potential at its + input (node f).
I wrote all the equations for nodes b, c, d and f. Since we can see that Va=-5V and Ve=2v, from the drawing. I just end up with 3 eqns and 4 unknowns
 
Cocoleia said:
I wrote all the equations for nodes b, c, d and f. Since we can see that Va=-5V and Ve=2v, from the drawing. I just end up with 3 eqns and 4 unknowns
You'll have to show the details if you want help.

You should be able to determine the potential at node f by inspection.
 
gneill said:
You'll have to show the details if you want help.

You should be able to determine the potential at node f by inspection.
upload_2017-1-23_20-6-31.png


But here I take the assumption that Vb=0, I want to know if that is logical or if it would not be 0V
 
You know the potential at f, so using the properties of the op-amp what must be the potential at its "-" input?
 
gneill said:
You know the potential at f, so using the properties of the op-amp what must be the potential at its "-" input?
Ok so potential at f and c have to be the same ?
 
  • #10
Cocoleia said:
Ok so potential at f and c have to be the same ?
Yes. So long as an op-amp circuit provides a negative feedback path, it must be so.
 
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