Engineering Finding v0 in an Ideal Op-Amp Circuit

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The discussion focuses on finding the output voltage (v0) in an ideal op-amp circuit using given input voltages (vA, vB) and resistance values. Participants emphasize the importance of applying the basic rules of ideal op-amps, specifically the voltage equality at the inputs and the zero current condition. There is confusion regarding the input impedance, with conflicting views on whether it should be zero or infinity. A solution is proposed using Kirchhoff's voltage law (KVL) to derive an expression for V1, leading to the final output voltage equation. The conversation highlights the need for clarity in understanding op-amp behavior and circuit analysis techniques.
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Homework Statement


Analyze the ideal op-amp circuit shown in figure to find an expression for v0 in terms of vA,vB and the resistance values.


Homework Equations


if i label the voltage across R1 as V1
then vi know that v1=R1/(R1+R2) *v0
but i need one more expression for v1.
i tried to use kvl in the lope (with Va,Ra and R1) but couldn't solve because of resistance Ra



The Attempt at a Solution

 

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What are the two basic rules governing ideal Op-Amps? (Hint: Use the voltage one, not the current one)
 
what do u meen with use Use the voltage one?
i tried using kvl on all the loops but coudn't solve.
current goin into the + on the amp =0 and voltage is 0 between + and - on the amp. summing point constraint.
 
The voltage at each of the op-amp's inputs is = V1. It's just a fact about ideal op-amps.
 
is there any way to show that
How about noninvering amp?
But then should i use KVL at amp node=
 
The current going into each input = 0 and the voltage is the same at each input. It's true for inverting and non-inverting.
 
And one more question in an amplifing circuit is the input impedance =0 or is is it infinity
or does it depend on the other facts.
We have a voltage source directy connected to + or - on the amp
but it woulden't be op-amp's inputs is = V1. for noninvering amp because R1 doen't exist in non inverting.
 
Well, I think I have given you too many free answers haha.

Just use Ohm's law and you can figure out the input impedance. I = V/R. To get 0 current, your R must be ?

Then you would have the same voltage on the other input if it is directly connected, they are always the same.
 
  • #11
i just want to know why the get Rin =0
because WesleyPipes said i=v/R
I=0 if R=--->infinity or if v=0
we know that v is zero
but R can't be zero
 
  • #12
Calculation is simple.

Va-V1)/Ra + Vb-V1)/Rb = 0
Solving, V1= [(Va/Ra) + (Vb/Rb)] / [(1/Ra) + (1/Rb)]

Now, Vo = [1+ (R2/R1)]V1
Substitute and you will get the answer.
 
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