Operation Amplifier Problems

I just wanted to say that I've passed the exam (80/100) and to thank you.
Among the others, I got a problem with an op amp and it was completely correct.

Thanks! :)
What was your answer for Vo for the problem in this thread? Those of us who help students like yourself were once students too. We would like to know if our own work was correct.
 

MrAl

Joined Jun 17, 2014
13,704
What was your answer for Vo for the problem in this thread? Those of us who help students like yourself were once students too. We would like to know if our own work was correct.
Hi,

Here is my solution (attn: different node numbering)...

v1=-((E1*R1*R4+(E1-E2)*R1*R10)*R5+((E1-E2)*R1*R10-E2*R10*R2)*R4+(E1-E2)*R1*R10*R2)/(R10*R2*R4)
v2=E2
v4=((E1*R4+(E1-E2)*R10)*R5+E1*R10*R4)/(R10*R4)
v5=E1

Note v1 is Vout, v4 is the lower op amp output.
R symbols equal to original values, R4=4 Ohms, R10=10 Ohms, etc.
E symbols similar, E2 is the 2v source, E1 the 1v source.

Check solution validity for component values other than those give originally (in case of unfavorable feedback with some values).

v1=25/8,v2=2,v4=1/4,v5=1
 
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