Concept explainers
Design an amplifier system with three inverting op-amps circuits in cascadesuch that the overall closed-loop voltage gain is
The design parameters for an inverting op-amp circuit.
Answer to Problem D9.18P
The value of the resistance
Explanation of Solution
Calculation:
The required diagram for the inverting op amp with feedback is shown below.
The required diagram is shown in Figure 1.
The expression for the value of the voltage
Substitute
The expression for the voltage
Substitute
The expression for the value of the voltage
Substitute
The expression for the output voltage of the first op-amp is given by,
The expression for the second voltage of the first op amp is given by,
Substitute
The expression for the voltage gain is given by,
Substitute
Apply KCL at the negative terminal of the right most op-amp.
Substitute
Substitute
Substitute
The expression for the value of the current
Substitute
The expression for the value off the voltage
Substitute
The expression for the value of the current
Substitute
The expression to determine the range of the current is given by,
Substitute
The expression for the value of the mid stage gain is given by,
Substitute
The expression for the minimum value of the resistance
Substitute
The maximum value of the resistance
The expression for the value of the resistance
Substitute
The expression for the gain of the voltage gain of right most amplifier is given by,
Substitute
The value for the current
The expression for the value of the resistance
Substitute
The expression for the maximum value of the resistance
Substitute
Conclusion:
Therefore, the value of the resistance
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Chapter 9 Solutions
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