Consider the diff-amp in Figure P11.68. The PMOS parameters are:
(a)
The open circuit differential mode voltage gain.
Answer to Problem 11.68P
The value of the differential mode voltage gain is
Explanation of Solution
Given:
The given circuit is shown in Figure 1
Figure 1
Calculation:
From above, the expression for the source to gate voltage is given by,
Apply KCL at node
Substitute
The expression for the transconductance of the second transistor is evaluated as,
Substitute
The internal output resistance of the second transistor is given by,
Substitute
The expression for the transconductance of the fourth transistor is evaluated as,
Substitute
The internal output resistance of the fourth transistor is given by,
Substitute
The expression to determine the value of the resistance
Substitute
The expression to determine the value of the open circuit differential mode voltage gain is given by,
Substitute
Conclusion:
Therefore, the value of the open circuit differential mode voltage gain is
(b)
To compare: The value of the open circuit differential mode voltage gain for the given changes with the value obtained in part (a).
Answer to Problem 11.68P
The value of the differential voltage gain is
Explanation of Solution
Given:
The given circuit is shown in Figure 1
Figure 1
The value of resistance
Calculation:
When
The expression for the open circuit differential mode voltage gain is given by,
Substitute
When the resistance
Conclusion:
Therefore, the value of the differential voltage gain is
(c)
The value of the output resistance of the differential amplifier for part (a) and (b).
Answer to Problem 11.68P
The differential output resistance of the amplifier for part (a) is
Explanation of Solution
The given circuit is shown in Figure 1
Figure 1
Calculation:
The output resistance for the differential amplifier for the open circuit differential voltage gain is calculated as,
Substitute
The output resistance for the differential amplifier when
Substitute
Conclusion:
Therefore, the differential output resistance of the amplifier is
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Chapter 11 Solutions
Microelectronics: Circuit Analysis and Design
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