Consider the circuit in Figure 12.39, with transistor parameters V T N = 0.8 V , K n = 1.5 mA / V 2 , and λ = 0. ( a ) ( i ) Find the open-loop gain for R F = ∞ . (ii) Find the closed-loop gain for R F = 47 k Ω . (b) Repeat part (a) if the conductance parameter decreases by 15 percent to K n = 1.275 mA / V 2 . What is the percent change in the magnitude of each gain factor? (Ans. (a) (i) A v = − 3.528 (ii) A v f = − 1.204 (b) (i) A v = − 3.0 , − 15 % change; (ii) A v f = − 1.107 , − 8.06 % change) Figure 12.39 Circuit for Exercises Ex 12.13 and Ex 12.14
Consider the circuit in Figure 12.39, with transistor parameters V T N = 0.8 V , K n = 1.5 mA / V 2 , and λ = 0. ( a ) ( i ) Find the open-loop gain for R F = ∞ . (ii) Find the closed-loop gain for R F = 47 k Ω . (b) Repeat part (a) if the conductance parameter decreases by 15 percent to K n = 1.275 mA / V 2 . What is the percent change in the magnitude of each gain factor? (Ans. (a) (i) A v = − 3.528 (ii) A v f = − 1.204 (b) (i) A v = − 3.0 , − 15 % change; (ii) A v f = − 1.107 , − 8.06 % change) Figure 12.39 Circuit for Exercises Ex 12.13 and Ex 12.14
Solution Summary: The author compares the value of the open loop gain and the closed loop voltage gain. The small signal equivalent circuit is shown in Figure 1.
Consider the circuit in Figure 12.39, with transistor parameters
V
T
N
=
0.8
V
,
K
n
=
1.5
mA
/
V
2
,
and
λ
=
0.
(
a
)
(
i
)
Find the open-loop gain for
R
F
=
∞
.
(ii) Find the closed-loop gain for
R
F
=
47
k
Ω
.
(b) Repeat part (a) if the conductance parameter decreases by 15 percent to
K
n
=
1.275
mA
/
V
2
.
What is the percent change in the magnitude of each gain factor? (Ans. (a) (i)
A
v
=
−
3.528
(ii)
A
v
f
=
−
1.204
(b) (i)
A
v
=
−
3.0
,
−
15
%
change; (ii)
A
v
f
=
−
1.107
,
−
8.06
%
change)
Figure 12.39 Circuit for Exercises Ex 12.13 and Ex 12.14
Construct a battery pack to deliver 360V and 450-mile range for a vehicle that consumes 200 Wh/mile, from prismatic cells with 25Ah and 3.6 V. Physical dimensions of the cell are 0.5 cm thickness, 20 cm width and 40 cm length.
a) Report configuration of the battery pack. 10-points
b) Resistance of each cell is 0.05 Ohm, calculate the total internal resistance of the battery pack. 10-points
c) Calculate the voltage drop during discharge when the battery is discharged at 100A. 10-points
d) Calculate the amount of anode and cathode to build a prismatic cell with 25Ah capacity. Assume the cell chemistry as:
Si anode and [Li(Ni1/3Co1/3Mn1/3)O2] cathode.
Atomic weight of elements: Li=7, Si = 28, Ni=58, Co=59, Mn=55, O=16, 10-points
e) Calculate the theoretical specific energy (Wh/kg) and practical energy density (Wh/liter) of the battery pack. 10-points
f) Calculate the thickness on anode and cathode coating assuming each electrode has 30%…
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