(a)
The small signal differential-mode voltage gain.
(a)
Answer to Problem 13.5P
The overall small signal differential voltage gain
Explanation of Solution
Given:
The circuit diagram of the BJT op-amp is
Given that
The transistor parameters are,
And base-emitter turn-on voltage is
Calculation:
The differential mode voltage gain can be defined as
Where
From the figure the quiescent collector currents in
Hence,
The collector current for
Therefore, the collector current for
The transconductance can be calculated as
Therefore, the transconductance for
The resistance
Therefore, the resistance
The resistance
Therefore, the resistance
The resistance
Therefore, the resistance
The resistance
Therefore, the resistance
Substitute
Hence,
Substitute
Therefore, the differential mode voltage gain
The small signal voltage gain is
Now,
Therefore,
Where the resistance
Hence,
Equation(2) becomes
Therefore, the small signal voltage gain is
Now the overall small signal differential voltage gain is
Therefore, the overall small signal differential voltage gain
(b)
The differential-mode input resistance.
(b)
Answer to Problem 13.5P
The differential-mode input resistance is
Explanation of Solution
Given:
The circuit diagram of the BJT op-amp is
Given that
The transistor parameters are,
And base-emitter turn-on voltage is
Calculation:
The differential-mode input resistance is given as
Where
Hence,
Now, the differential-mode input resistance is
Therefore, the differential-mode input resistance is
(c)
Theunity-gain bandwidth.
(c)
Answer to Problem 13.5P
The gain bandwidth product is
Explanation of Solution
Given:
The circuit diagram of the BJT op-amp is
Given that
The transistor parameters are,
And base-emitter turn-on voltage is
Calculation:
The unity-gain bandwidth product is
Here, the dominant pole frequency is given as
Hence,
And
Hence,
Now the dominant pole frequency we obtain as
Therefore, the dominant pole frequency
The unity-gain bandwidth product is
Therefore, the gain bandwidth product is
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Chapter 13 Solutions
Microelectronics: Circuit Analysis and Design
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