Consider the circuit shown in Figure P6.19 where the signal−source is
Figure P6.19
(a)
The small signal voltage gain
Answer to Problem 6.19P
The small signal voltage gain
Explanation of Solution
Given:
The sinusoidal source voltage
The circuit for
The current gain
The circuit parameters are shown below.
Concept used:
The expression for small signal voltage gain
The expression for transconductance is written below.
Calculation:
Apply dc analysis and KVL in base emitter
Substitute
The quiescent collector current is calculated as,
The transconductance is calculated as,
The diffusion resistance is calculated as,
Substitute
Therefore, the small signal voltage gain
The output current
Substitute
Therefore, the transconductance function
The output current is calculated as,
Therefore, the output current
The output voltage is calculated as,
Substitute
Therefore, the output voltage
Conclusion:
Thus, the small signal voltage gain
(b)
The small signal voltage gain
Answer to Problem 6.19P
The small signal voltage gain
Explanation of Solution
Given:
The current gain
Calculation:
Apply dc analysis and KVL in base emitter
Substitute
The quiescent collector current is calculated as,
The transconductance is calculated as,
The diffusion resistance is calculated as,
Substitute
Therefore, the small signal voltage gain
The output current
Substitute
Therefore, the transconductance function
The output current is calculated as,
Therefore, the output current
The output voltage is calculated as,
Substitute
Therefore, the output voltage
Conclusion:
Thus, the small signal voltage gain
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Chapter 6 Solutions
Microelectronics: Circuit Analysis and Design
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