
(a)
The value of the output resistance.
(a)

Answer to Problem 11.70P
The value of the output resistance
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
The expression for the input current is given by,
The expression to determine the value of the transconductance is given by,
The expression for the relation for the voltage for hybrid pie parameter.
Substitute
The value of the collector current
The value of the collector current
The expression to determine the expression for the diffusion resistance is given by,
Substitute
The value of the transconductance is calculated as,
Substitute
The expression to determine the value of the resistance
Substitute
The expression to determine the expression for the diffusion resistance is given by,
Substitute
The value of the transconductance is calculated as,
Substitute
The expression to determine the value of the resistance
Substitute
Substitute
The expression for the input current
Substitute
Substitute
The expression to determine the output resistance is given by,
Substitute
The value of the quiescent current is given by,
The small signal output resistance is calculated as,
The value of the output resistance is calculated as,
Conclusion:
Therefore, the value of the output resistance
(b)
The value of the differential mode voltage gain.
(b)

Answer to Problem 11.70P
The value of the differential voltage gain is
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
The required small signal circuit is shown in Figure 2
Figure 2
The expression for the transconductance is given by,
The expression for the differential voltage gain is given by,
The expression for the change in current is given by,
Consider the value of
Substitute the values in the above equation.
Substitute
Substitute
Substitute
Substitute
The value of gain is given by,
The expression for the input resistor is given by,
The value of expression for the differential input resistor is calculated as,
Conclusion:
Therefore, the value of the differential voltage gain is
(c)
The value of the differential mode input resistance
(c)

Answer to Problem 11.70P
The value of
Explanation of Solution
Given:
The given diagram is shown below.
Calculation:
The expression for the input resistor is given by,
The value of expression for the differential input resistor is calculated as,
Conclusion:
Therefore, the value of
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Chapter 11 Solutions
Microelectronics: Circuit Analysis and Design
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