Line 20: Line 20:
 
Find the value of Vout.
 
Find the value of Vout.
  
[[File:ECE201_P4_1.png|400px|center]]
+
[[File:ECE201_P4_1.jpeg|400px|center]]
  
[[File:ECE201_P4_2.png|150px|center]]
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[[File:ECE201_P4_2.png|20px|center]]
  
 
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<math> a = 4 </math> and <math> b = -6 </math><br />
 
<math> a = 4 </math> and <math> b = -6 </math><br />
  
Since we have both a and b values you can plug that into the Vs' equation and solve for Vs'.
+
Since we have both a and b values you can plug that into the Vs' equation and solve for Vs'.<br />
 
<math>\begin{align}
 
<math>\begin{align}
 
20 = Vs'a + 4b\\
 
20 = Vs'a + 4b\\

Revision as of 15:30, 2 May 2015


Op Amp Practice with Voltage Division

Practice question for ECE201: "Linear circuit analysis I"

By: Chinar Dhamija

Topic: Op Amp


Question

Find the value of Vout.

ECE201 P4 1.jpeg
ECE201 P4 2.png


Answer

In order to find Vs' we have the following equation:
$ 20 = Vs'a + 4b $

From the information present in the table two systems of equations can be created to solve for a and b.
First equation:
$ 10 = 4a + b $
Second equation:
$ 40 = 10a + 0b $
After solving the above system of equations you get:
$ a = 4 $ and $ b = -6 $

Since we have both a and b values you can plug that into the Vs' equation and solve for Vs'.
$ \begin{align} 20 = Vs'a + 4b\\ 20 = Vs'(4) + 4(-6)\\ 44 = 4Vs'\\ Vs' = 11 V \end{align} $


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