In the common−source amplifier in Figure 7.25(a) in the text, a source bypass capacitor is to be added between the source terminal and ground potential. The circuit parameters are
a.
To derive: The small signal voltage gain expression.
Answer to Problem 7.41P
The expression for small signal voltage gain:
Explanation of Solution
Given:
The circuit parameter is given as:
The transistor parameter are given as:
Drawing the small signal model of the circuit with the source bypass capacitor:
Applying the Ohm’s law to the drain terminal:
Evaluating the input voltage
Evaluating the ratio of output voltage to the input voltage:
Therefore, the expression for small signal voltage gain:
b.
The expression for the time constant associated with the upper 3dB frequency.
Answer to Problem 7.41P
The expression for the time constant associated with the upper 3 Db frequency is:
Explanation of Solution
Given:
The circuit parameter is given as:
The transistor parameter are given as:
The expression for time constant
Here, the expression for the time constant associated with the upper 3 Db frequency is:
c.
The time constant, upper 3 dB frequency and the small signal midband voltage gain.
Answer to Problem 7.41P
The small signal mid-band voltage gain is -4.7.
Explanation of Solution
Given:
The circuit parameter is given as:
The transistor parameter are given as:
The equation for the time constant is given as:
Substituting the known values in the above equation:
Hence, the value of time constant,
Now, evaluating the upper
Substitute
Hence, the value of upper
Applying the Kirchhoff s voltage law to the outer loop:
Substituting the known values:
Evaluating the value of current
Substituting the known values:
Evaluating the transconductance
Substituting the known values in the above equation:
Since, the voltage gain is given as:
Evaluating the mid-band voltage gain
Substituting the known values in the above equation:
Hence, the small signal mid-band voltage gain is -4.7.
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Chapter 7 Solutions
Microelectronics: Circuit Analysis and Design
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