The cascode circuit in Figure 7.65 has parameters V + = 12 V , V − = 0 , R 1 = 58.8 kΩ , R 2 = 33.3 kΩ R 3 = 7.92 kΩ , R C = 7.5 kΩ , R S = 1 kΩ , R E = 0.5 kΩ , and R L = 2 kΩ . The transistor parameters are: β = 100 , V B E (on)=0 .7V , V A = ∞ , C π = 24 pF , and C μ = 3 pF . Let C L be an open circuit. (a) Determine the 3dB frequencies corresponding to the input and output portions of the equivalent circuit. (b) Calculate the small−signal midband voltage gain. (c) Correlate the results from parts (a) and (b) with a computer analysis. (Ans. (a) f H π = 7.15 MHz , f H μ = 33.6 MHz , (b) | A υ | = 22.5 )
The cascode circuit in Figure 7.65 has parameters V + = 12 V , V − = 0 , R 1 = 58.8 kΩ , R 2 = 33.3 kΩ R 3 = 7.92 kΩ , R C = 7.5 kΩ , R S = 1 kΩ , R E = 0.5 kΩ , and R L = 2 kΩ . The transistor parameters are: β = 100 , V B E (on)=0 .7V , V A = ∞ , C π = 24 pF , and C μ = 3 pF . Let C L be an open circuit. (a) Determine the 3dB frequencies corresponding to the input and output portions of the equivalent circuit. (b) Calculate the small−signal midband voltage gain. (c) Correlate the results from parts (a) and (b) with a computer analysis. (Ans. (a) f H π = 7.15 MHz , f H μ = 33.6 MHz , (b) | A υ | = 22.5 )
Solution Summary: The author explains the 3-dB frequencies for the input and the output proportions.
The cascode circuit in Figure 7.65 has parameters
V
+
=
12
V
,
V
−
=
0
,
R
1
=
58.8
kΩ
,
R
2
=
33.3
kΩ
R
3
=
7.92
kΩ
,
R
C
=
7.5
kΩ
,
R
S
=
1
kΩ
,
R
E
=
0.5
kΩ
, and
R
L
=
2
kΩ
. The transistor parameters are:
β
=
100
,
V
B
E
(on)=0
.7V
,
V
A
=
∞
,
C
π
=
24
pF
, and
C
μ
=
3
pF
. Let
C
L
be an open circuit. (a) Determine the 3dB frequencies corresponding to the input and output portions of the equivalent circuit. (b) Calculate the small−signal midband voltage gain. (c) Correlate the results from parts (a) and (b) with a computer analysis. (Ans. (a)
f
H
π
=
7.15
MHz
,
f
H
μ
=
33.6
MHz
, (b)
|
A
υ
|
=
22.5
)
consider the circuit below. Assume it uses ideal diodes with the details specified above. the left side of the circuit is basically a wheatstone bridge, hooked to the right side, which is a differential op amp. a) what is the voltage between junctions "A" and "B" if R2 is 201 ohms? b) what are the minimum and maximum values of R2 can be without the op amp hitting saturation?remember that for the diodes to be ideal you they have to have a turn on voltage of 0.6 volts.
The capacitors in the circuit shown below have no energy stored in them and then switch “S1” closes at time t=0. Assume the ideal op amp does not saturate. As stated above assume the diodes are ideal with parameters specified above.
Diodes are at 0.6 Volts
Show the derivations of the mathematical equations for v(t) at Locations A and B for t≥ 0
Phase (deg)
Magnitude (dB)
-20
-40
-60
-80
-100
°
-90
-180
-270
10-1
(i)
°
Problem 5
Consider a unity (negative) feedback system with a proportional controller. The Bode plot of the
plant transfer function G(s) is given as below.
System: sys
Frequency (rad/s): 1
Magnitude (dB): 13.9
System: sys
Frequency (rad/s): 14.9
Magnitude (dB): 6.58
System: sys
Frequency (rad/s): 1
Phase (deg): -9.76
10°
System: sys
Frequency (rad/s): 25.6
Magnitude (dB): -0.0703
System: sys
Frequency (rad/s): 41.3
Magnitude (dB): -8.06
System: sys
Frequency (rad/s): 200
Magnitude (dB): -44.4
System: sys
Frequency (rad/s): 14.9
Phase (deg): -110
System: sys
Frequency (rad/s): 25.6
Phase (deg): -148
System: sys
Frequency (rad/s): 41.3
Phase (deg): -180
System: sys
Frequency (rad/s): 200
Phase (deg): -247
101
Frequency (rad/s)
102
Find the gain crossover frequency, phase crossover frequency, gain margin and phase
margin of the system. Is the closed-loop system stable?
(ii)
What is the steady-state error of the…
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