(a) Consider the ideal op-amp circuit shown in Figure P9.51. Determine thevoltage gains
(a)
The expression for the voltage gain
Answer to Problem 9.51P
The relation between the voltage
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
Mark the voltages in the above circuit.
The required diagram is shown in Figure 2
The expression for the value of the voltage gain of first amplifier is given by,
The expression for the value of the voltage gain of second amplifier is given by,
The expression for the value of the voltage
The expression for the value of the voltage
The expression for the voltage
The expression for the voltage
The expression for the voltage
Substitute
The expression for the value of the voltage
Substitute
Apply KCL at node
Substitute
Substitute
Substitute
Apply KVL at node
Substitute
Substitute
Substitute
From above and from equation (1) the relation between the voltage
Conclusion:
Therefore, the relation between the voltage
(b)
The value of the voltage
Answer to Problem 9.51P
The value of the output voltage
Explanation of Solution
Calculation:
The expression for the value of voltage
Substitute
The expression for the value of the voltage
Substitute
Conclusion:
Therefore, the value of the output voltage
(c)
The value of the difference
Answer to Problem 9.51P
The value of the difference of voltage
Explanation of Solution
Calculation:
The expression for the difference
Substitute
Conclusion:
Therefore, the value of the difference of voltage
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Chapter 9 Solutions
Microelectronics: Circuit Analysis and Design
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