All parameters associated with the instrumentation amplifier in Figure 9.26are the same as given in Exercise Ex 9.8, except that resistor
The value of maximum common mode gain.
Answer to Problem 9.72P
The maximum value of the voltage gain is
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
Mark the voltages and current and redraw the circuit.
The required diagram is shown in Figure 2
The expression for the voltage
The expression for the current at the node
Substitute
Apply KCL at the node
Substitute
The expression for the value of the current
The expression for the voltage
Substitute
The expression for the voltage
Substitute
Substitute
The expression for the common mode voltage is given by,
The expression for the differential voltage is given by,
The expression for the voltage
The expression for the voltage
Substitute
The general expression for the output equation is given by,
From above and from equation (3), the expression for the common mode gain is evaluated as,
Substitute
From above the range of the common mode voltage gain is given by,
The maximum value of the voltage gain is given by,
Conclusion:
Therefore, themaximum value of the voltage gain is
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Chapter 9 Solutions
Microelectronics: Circuit Analysis and Design
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