Concept explainers
Assume the op-amps in Figure P9.6 are ideal. Find the voltage gain
(a)
The voltage gain
Answer to Problem 9.6P
The value of the voltage gain is
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
Mark the values and redraw the circuit of part (a).
The required diagram is shown in Figure 2
The from the above circuit the expression for the value of the voltage
Substitute
The value of the current
The expression for the value of the voltage gain is given by,
Apply KCL at the negative terminal.
Substitute
The expression for the value of the current
Substitute
Substitute
Substitute
The expression for the value of the input resistance is given by,
Substitute
Conclusion:
Therefore, the value of the voltage gain is
(b)
The voltage gain
Answer to Problem 9.6P
The value of the voltage gain is
Explanation of Solution
Calculation:
Mark the values and redraw the circuit of part (b).
The required diagram is shown in Figure 3
The from the above circuit the expression for the value of the voltage
Substitute
The value of the current
The expression for the value of the voltage gain is given by,
Apply KCL at the negative terminal.
Substitute
The expression for the value of the current
Substitute
Substitute
Substitute
The expression for the value of the input resistance is given by,
Substitute
Conclusion:
Therefore, the value of the voltage gain is
(c)
The voltage gain
Answer to Problem 9.6P
The value of the voltage gain is
Explanation of Solution
Calculation:
Mark the values and redraw the circuit of part (c).
The required diagram is shown in Figure 4
The from the above circuit the expression for the value of the voltage
Substitute
The value of the current
The expression for the value of the voltage gain is given by,
Apply KCL at the negative terminal.
Substitute
The expression for the value of the current
Substitute
Substitute
Substitute
The expression for the value of the input resistance is given by,
Substitute
Conclusion:
Therefore, the value of the voltage gain is
(d)
The voltage gain
Answer to Problem 9.6P
The value of the voltage gain is
Explanation of Solution
Calculation:
Mark the values and redraw the circuit of part (d).
The required diagram is shown in Figure 5
The from the above circuit the expression for the value of the voltage
Substitute
The value of the current
The expression for the value of the voltage gain is given by,
Apply KCL at the negative terminal.
Substitute
The expression for the value of the current is given by,
Apply KVL at the inverting terminal.
Substitute
Substitute
Substitute
The expression for the value of the input resistance is given by,
Substitute
Conclusion:
Therefore, thevalue of the voltage gain is
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Chapter 9 Solutions
Microelectronics: Circuit Analysis and Design
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