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Chapter 6, Problem 78P from Basic Engineering Circuit Analysis (8th).

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Date Posted: 7/10/2008 7:38:52 PM  Status: Live
Chapter 6, Problem 78P from Basic Engineering Circuit Analysis (8th).
Course Textbook Chapter Problem
Analog Circuits Basic Engineering Circuit Analysis (8th) by Irwin 6 78P
Question Details:
My question is number 6.78  on the following link.

http://www.ee.isu.edu.tw/teacher/hsiehten/ch06.pdf

I know that they solve it but it is still ambiguous.



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Date Posted: 7/11/2008 1:40:54 AM  Status: Live
Asker's Rating: Helpful   
Response:
Given circuit diagram:
    
    
 
First we consider the above op-amp circuit individually as below:
 
     
 
This circuit is a op-amp high-pass circuit and this acts as differentiator.
That is output is differentiation of input voltage.
...................... (1)
Consider first below op-amp of the given circuit individually
 
     
This is a inverting op-amp with a gain of
Therefore ...................... (2)
Consider second below op-amp of the given circuit individually
 
   
This is a inverting summing amplifier.
......................... (3)
From equation (1) and (2), we can modify equation (3) as below:
 Given that .
Now above equation becomes
Where  and
 
I hope this helps you...............
 



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