
Concept explainers
In the circuit shown in Fig. 5.62, find k in the voltage transfer function vo = kvs.
Figure 5.62
For Prob. 5.24.

Derive the expression for k in the voltage transfer function
Answer to Problem 24P
The expression for k is
Explanation of Solution
Given data:
Refer to Figure 5.62 in the textbook for the given op amp circuit.
Calculation:
Modify the Figure 5.62 by indicating the node voltages
From the properties of ideal op amp, consider that the voltage across the two input terminals of op amp is equal to zero.
Apply Kirchhoff's current law to the node
Apply Kirchhoff's current law to the node
Simplify the equation as follows.
Substitute equation (1) in (3).
Substitute equation (4) in (2).
Consider the expression for the voltage transfer function.
Compare equations (5) and (6).
Conclusion:
Thus, the expression for k is
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Chapter 5 Solutions
Fundamentals of Electric Circuits
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