Obtain an expression for vout as labeled in the circuit of Fig. 6.50 if v1 equals (a) 0 V; (b) 1 V; (c) −5 V; (d) 2 sin 100t V.
FIGURE 6.50
(a)
Find the output voltage
Answer to Problem 23E
The output voltage
Explanation of Solution
Given data:
The input voltage
Calculation:
The redrawn circuit is shown in Figure 1 as follows.
Refer to the Figure 1.
The expression of output voltage for 1st inverting op amp is,
Here,
The expression by the nodal analysis at node
Here,
The expression by the nodal analysis at node
Here,
The expression for the virtual ground concept is as follows,
Refer to the redrawn Figure 1.
Simplify equation (2) as follows.
Rearrange equation (3) for
Substitute
Rearrange for
Substitute for
Substitute
Conclusion:
Thus, the output voltage
(b)
Find the output voltage
Answer to Problem 23E
The output voltage
Explanation of Solution
Given data:
Value of input voltage
Calculation:
Refer to the redrawn Figure 1.
Substitute
Solve for
Conclusion:
Thus, the output voltage
(c)
Find the output voltage
Answer to Problem 23E
The output voltage
Explanation of Solution
Given data:
Value of input voltage
Calculation:
Refer to the redrawn Figure 1.
Substitute
Solve for
Conclusion:
Thus, the output voltage
(d)
Find the output voltage
Answer to Problem 23E
The output voltage
Explanation of Solution
Given data:
Value of input voltage
Calculation:
Refer to the redrawn Figure 1.
Substitute
Solve for
Conclusion:
Thus, the output voltage
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Chapter 6 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
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