The parameters of the transistor in the circuit in Figure P7.40 are
Figure P7.40
a.
To draw: Three equivalent circuits that represent the amplifier in the low frequency range, mid-band range and the high frequency range.
Answer to Problem 7.40P
Three equivalent circuits that represent the amplifier in the low frequency range, mid-band range and the high frequency range are shown in Figure 1, 2 and 3 respectively.
Explanation of Solution
Given:
The diagram is given as:
Calculation:
Calculate the value of current
Applying Kirchhoff s voltage law in the above loop:
Here,
Substituting
The quiescent collector current
Here,
Substituting
Evaluating the resistance
Here,
Evaluating the transconductance
Substituting
Figure 2 shows the low −frequency small signal transistor with the output resistance
Figure 1
In the mid-frequency range, the coupling and bypass capacitors are short-circuited and the load capacitors are open-circuited.
It shows the mid-frequency small signal transistor with the output resistance
Figure 2
In the high-frequency range, the coupling and bypass capacitors are short-circuited and the load capacitors are included.
Figure 3
Hence, the three equivalent circuits that represent the amplifier in the low-frequency range, mid-band range, and high-frequency range are plotted.
b.
To sketch: The bode magnitude plot.
Answer to Problem 7.40P
The sketch of bode magnitude plot is shown in Figure 4.
Explanation of Solution
Given:
The diagram is given as:
Calculation:
Consider the values, calculated in part (a).
The effect of the coupling capacitor
The figure shows the bode plot for the circuit having a combination of a coupling capacitor and load capacitor:
Figure 4
Hence, the bode magnitude plot is sketched.
c.
The values of the
Answer to Problem 7.40P
The values are:
Explanation of Solution
Given:
The diagram is given as:
Calculation:
Evaluating the midband gain by short-circuiting the coupling and bypass capacitors and open-circuiting the load capacitors.
Substituting the values,
Evaluating the gain in dB:
Substituting
Hence, the value of gain
Evaluating the equivalent resistance
Substituting
Evaluating the time constant
Substituting
Evaluating the equivalent resistance
Substituting
Evaluating the time constant
Substituting
Evaluate the lower corner frequency
Substituting
Evaluated the upper corner frequency:
Substitute
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