The design parameters for the BJT differential amplifier with the active load and the mode voltage gain.
Answer to Problem D11.71P
The value of the differential voltage gain is
Explanation of Solution
Given:
The given circuit 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,
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
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Chapter 11 Solutions
Microelectronics: Circuit Analysis and Design
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