Concept explainers
The value of the closed loop small signal voltage gain at the mid band frequency.
Answer to Problem 12.42P
Thevalue of the small signal closed loop voltage gain is
Explanation of Solution
Given:
The given circuit is shown in Figure 1.
Calculation:
The Thevenin resistance of the above circuit is calculated as,
The expression to determine the value of the Thevenin voltage is given by,
The expression to determine the value of the current
Substitute
The expression to determine the value of the collector current is given by,
Substitute
The expression for the small signal input resistance is given by,
Substitute
The expression for the trans-conductance of the first transistor is given by,
Substitute
The Thevenin resistance of the second transistor is calculated as.
The expression to determine the value of the Thevenin voltage of the second transistor is given by,
The expression to determine the value of the current
Substitute
The expression to determine the value of the collector current is given by,
Substitute
The expression for the small signal input resistance is given by,
Substitute
The expression for the trans-conductance of the first transistor is given by,
Substitute
The diagram for the small signal equivalent circuit is shown in Figure 2
Figure 2
The expression to determine the value of the supply voltage is given by,
Apply KCL at node
Substitute
Substitute
Apply KCL at node 1
Substitute
Apply KCL at node 2
Substitute
Substitute
Substitute
Substitute
Conclusion:
Therefore, the value of the small signal closed loop voltage gain is
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Chapter 12 Solutions
Microelectronics: Circuit Analysis and Design
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