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
)
In the circuit shown, find the following:
1) The current Ix.
2) The average power dissipated in the capacitor.
3) The total average power dissipated in the two
resistors.
4) The average power of the independent voltage source
and specify whether it is supplied or absorbed.
5) The total impedance seen from the terminals of the
independent voltage source (Z=V/I).
20
-201
12/00V(+
21
www
202
2- If you have a unipolar winding stepper motor, draw the driver and the control circuit.
Note: The drawing is on paper.
Given the following reaction system, where Xo is the input, i.e u(t) = k₁ × Xo:
$Xo -> x1; k1*Xo
x2; k2*x1
x1
2 x2 ->%;
k3*x2^2
x2 ->;
k4*x2
Xo
1; k1 = 0.4
k2 4.5; k3 = 0.75
k4= 0.2
a) Build the model in Tellurium and run a simulation. Compute the Jacobian at steady
state using the method getFull Jacobian(). Make sure you are at steady state!
b) Write out the values for n and p
c) Write out the differential equations.
d) Write out the state space representation in terms of the rate constants etc.
e) Compute the values in the Jacobian matrix from d) by substituting the values of the rate
constants etc and any data you need from the simulation.
f) Confirm that the Jacobian you get in e) is the same as the one computed from the
simulation in a).
g) Is the system stable or not? If you find an eigenvalue of zero, that means the system is
marginally stable. You can get the eigenvalues using the tellurium method r.getFullEigenvalues()
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