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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 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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