EE+210+201819FA+exam+2
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School
Pennsylvania State University *
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Course
210
Subject
Electrical Engineering
Date
Feb 20, 2024
Type
Pages
15
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page 1/15 EE 210 Fall 2018 Midterm Exam #2 Time: October 8, 7:45pm – 9:45pm Exam form: A Name: _________________________________________ PSU ID #: _________________________________________ Lab Section #:
□
01 Tue 8:00-11:00A (Michael Dempsey) (Check one) □
02 Tue 11:15A-2:15P (Sujay Hosur) □
03 Tue 2:30-5:30P (Alex Silver) □
04 Wed 8:00-11:00A (Savinay Nagendra) □
05 Wed 2:30-5:30P (Marc Navagato) □
06 Wed 6:00-9:00P (Marc Navagato) □
07 Thu 8:00-11:00A (Michael Dempsey) □
08 Thu 11:15A-2:15P (Sujay Hosur) □
09 Thu 2:30-5:30P (Alex Silver) □
10 No lab Academic Integrity Statement:
I will complete this exam with academic integrity. I will not obtain any unfair advantage over my fellow students in the completion of this exam and I will not assist others in obtaining an unfair advantage. Sign here: ________________________________________________ Grade:
Problems 1-20 / 60 Problem 21 / 20 Problem 22 / 20 TOTAL /100 NOTE: 1. The exam consists of 20 multiple choice questions (3 points each), and two workout problems (20 points each). 2. You are NOT allowed any notes, books, calculators, or cell phones. 3. Show all work, circle the correct answer on the exam booklet, and code your answer
on the computer scan sheet. 4. Turn in the computer scan sheet and this exam booklet.
page 2/15 1. Determine the value of the voltage drop V
X
across the 4-
Ω resistor.
4 Ω
0.5 V
X
V
x
+
-
2 A
A. −8
3
࠵࠵?
B. 8 V C. -8 V D. 2 V E. -2 V 2.
Solve for the mesh currents I
1
and I
2
. A. A
2
A,
1
2
1
=
−
=
I
I
B. A
2
A,
2
.
0
2
1
=
−
=
I
I
C. A
4
.
1
A,
6
.
0
2
1
−
=
=
I
I
D. A
1
A,
1
2
1
=
−
=
I
I
E. A
4
.
1
A,
6
.
0
2
1
=
−
=
I
I
+
−
+
−
I
1
I
2
15 Ω
10 Ω
20 V
25 V
2 A
+
−
+
−
+
−
+
−
I
1
I
2
15 Ω
10 Ω
20 V
25 V
2 A
⊥
E
#
:
-0
.
SVx
+
2AIO
-
-
0
.
25VX
=
-
V
=
OV
⊥
Supermest
--
-
20
+
151
,
H012
+
2S
=
0
-
151
,
Hol
=
-S
1
,
+
A
equatic
12
=
/A
12
-
1
=
2
page 3/15 3-4. Consider this circuit for the following two problems.
3.
Using the principle of superposition, find the contribution to the voltage V
x
that is due only to the voltage source. A. -4.5 V B. -6 V C. 9 V D. 4.5 V E. 6 V 4.
Using the principle of superposition, find the contribution to the voltage V
x
that is due only to the current source. A. -2 V B. -1 V C. 0 V D. 1 V E. 2 V 3 mA
R
L
= 1 k
Ω
2 k
Ω
2 k
Ω
+
−
9 V
1 k
Ω
A
B
+ V
x
–
3 mA
R
L
= 1 k
Ω
2 k
Ω
2 k
Ω
+
−
+
−
9 V
1 k
Ω
A
B
+ V
x
–
X
X
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page 4/15 5.
The supernode KCL equation for the network at right is: A. 1
1
2
4
I
I
−
=
B. 2
1
13
V
V
−
=
C. 1
2
4
1
0
6
4
24
V
V
V
−
+
+
=
D. 3
3
4
1
0
4
8
4
V
V
V
−
+
−
=
E. (
)
(
)
1
2
2
3
1
3
6
13
24
8
4
0
I
I
I
I
I
I
−
+
+
−
+
−
=
6. Via nodal analysis, you have determined that the values for the node voltages in the circuit below are V
1
= 20 V, V
2
= 30 V, V
3
= 10 V and V
4
= 24 V. From this information, determine the power supplied or absorbed by the independent voltage source. A. 40 mW absorbed B. 20 mW supplied C. 120 mW supplied D. 80 mW absorbed E 180 mW supplied
4 Ω
8 Ω
6 Ω
13 V
24 Ω
4 V
¼ A
V
3
I
3
I
2
I
1
-
↓
-
OV
in
.
Superhos
VI
-
v2
-
V4
=T
O
-Bov
⊥
p
1
12
zoV
log
240
I
⊥
:
320
_
Is
+
24
↓
z
Is
=
G
MA
&
cor
it
I
(20)lmutz
120M
page 5/15 7-8. This circuit is to be used for the following two problems.
7.
Express the controlling variable for the voltage-controlled voltage source in terms of the given mesh current variables
I
1
, I
2
, I
3
and I
4
. A. 1
1
I
R
I
S
−
B. (
)
1
3
3
I
I
R
−
C. (
)
3
1
3
I
I
R
−
D. 2
3
I
E. 3
3
I
R
8.
If using mesh analysis to solve this circuit, determine the appropriate supermesh KVL equation. A. (
)
0
1
3
3
2
2
1
1
=
−
+
−
+
I
I
R
V
I
R
I
R
S
B. (
)
(
)
0
3
1
3
3
4
4
4
5
2
2
1
1
=
−
+
−
+
+
+
I
I
R
I
I
R
I
R
I
R
I
R
C. (
)
0
3
4
4
4
5
2
2
=
−
+
+
+
I
I
R
I
R
I
R
I
S
D. (
)
0
3
1
3
2
2
1
1
=
−
+
−
+
I
I
R
V
I
R
I
R
S
E. This circuit does not require a supermesh +
−
R
1
2
V
x
I
1
V
S
R
2
I
2
I
3
R
3
R
4
R
5
I
S
−
+
I
4
+ V
x
–
+
−
+
−
R
1
2
V
x
I
1
V
S
R
2
I
2
I
3
R
3
R
4
R
5
I
S
−
+
−
+
I
4
+ V
x
–
-
vx
=
P3(13
-
1)
1
,
B
+
22(2
-
VS
+
R3(b
-
13)
=
0
O
page 6/15 9. The linear circuit enclosed in the box consists only
of resistors. The voltage across the load, R
L
, is dependent on the voltage source value. If the voltage source V
s
is doubled, which of the following statements A-D is false
? If all statements are true, select E. A.
The voltage across R
L will be doubled. B.
The current through R
L
will be doubled. C.
The current I
s
delivered by the voltage source will be doubled. D.
The power absorbed by R
L will be doubled. E.
All of the statements A-D are true. 10.
For the linear network shown below, the value of v
x
due to just the 10V voltage source acting alone is measured to be 5V, and the value of v
x
due to just the 2A current source acting alone is measured to be 4V. If the current source is doubled to 4A and the voltage source polarity is switched and both sources are then applied simultaneously, determine the value of v
x
. A. 3 V B. 6 V C. 13 V D. -1 V E. -5 V V
S
+
−
I
S
R
L
Linear
Circuit
V
S
+
−
+
−
I
S
R
L
+
−
2 A
10 V
+
v
x
−
Linear
network
+
−
+
−
2 A
10 V
+
v
x
−
Linear
network
-V
=
Rul
②
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page 7/15 11. If the wiper arm of the 10-
kΩ potentiomete
r is swept from the extreme right to left, determine the output voltage range for this op-amp circuit, assuming that the device is ideal and is operating in its linear (non-saturation) region. A. -5 V to -9 V B. -7.5 V to -9 V C. -5/3 V to -3 V D. -2.5 V to -3 V E. -8 V to -12 V 12. Determine the value of V
out
in this circuit. Assume that the op-amp is ideal and operating in its linear (non-saturation) region. A. -4 V B. - 11V C. -2 V D. -8 V E. -7 V _
+
50
k
Ω
20 k
Ω
V
o
3 V
+
_
10 k
Ω
V
=
IV
#V
bu
=
O
-
+
to
-
o
C
VortV
H
=
+
-
⊥
=
H[ to
+
t]
-
Fo
=
0
=
VH
=
N
-
page 8/15 13 -14
Consider the 3 op-amp amplifier circuits below. In all cases, assume that you are going to connect a practical voltage source (with source resistance R
s
) to the input point indicated by the open circle. Assume that all op amps are operating in their linear (non-saturation) region. 13.
If the op amps are ideal
, in which circuit(s) would the output voltage V
OUT
be affected by the value of the source resistance R
s
? A. Circuit I only B. Circuit II only C. Circuit III only D. Circuit I and III only E. None of the circuits 14.
If the op amps are not ideal
and the standard behavior model is used to model their performance, in which circuit(s) would the output voltage V
OUT
be affected by the value of the source resistance R
s
? A. Circuit I only B. Circuit II only C. Circuit III only D. Circuit I and III only E. All of the circuits O
page 9/15 15.
The op amp in the circuit below saturates at +/- 12 V. Determine the range of V
IN
such that the virtual short circuit approximation will hold. Assume that the op amp is ideal. A. -
3 V ≤ V
IN
≤ 9 V
B. 3 V ≤ V
IN
≤ 9 V
C. -
9 V ≤ V
IN
≤ -3 V D. -9 V ≤ V
IN
≤ 3 V
E. -
20/3 V ≤ V
IN
≤ 4/3 V
16. If V
in
is chosen such that V
out
= 12 V, determine the power supplied by the op amp. Assume that the op amp is ideal and is operating in its linear (non-saturation) region. A. 24 mW B. 48 mW C. 72 mW D. 96 mW E. 120 mW
_ + 2 kΩ
1 kΩ
3 kΩ
V
out
V
in
I
0
24 k
Ω
− + 8 k
Ω
+
12 V
−
12 V
+ − + − 2 V
V
IN
12 k
Ω
V
OUT
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page 10/15 17. If V
in
is 3V, calculate the power absorbed by the 25-
Ω resistor in the two circuits below. Assume that the op amp in Case 2 is ideal and is operating in its linear (non-saturation) region. Case 1:
50
Ω
+
−
25
Ω
V
in
Case 2:
50
Ω
+
−
V
in
25
Ω
_
+
A. Case 1: 1/25W; Case 2: 1/25W B. Case 1: 1/25W; Case 2: 3/25W C. Case 1: 1/25W; Case 2: 9/25W D. Case 1: 3/25W; Case 2: 3/25W E. Case 1: 9/25W; Case 2: 9/25W
18. If the input voltage signal is an AC sinusoid v
in
(t)
= V
M
sin (ωt
) V, determine the maximum value possible for V
M
without any portion of the waveform entering the saturation region. Assume that the op amp is ideal with saturation voltages of +/- 15 V. A. V
M
= 7 V B. V
M
= 12 V C. V
M
= 7.5 V D. V
M
= 6 V E. V
M
= 14 V
page 11/15 19. If v
out
is measured to be 12 V in the circuit below, determine what v
in
must be. Assume that both op amps are ideal and are operating in the linear (non-saturation) region. _
+
30 k
Ω
10 k
Ω
_
+
20 k
Ω
v
out
20 k
Ω
v
in
A. v
in = -2 V B. v
in = -3 V C. v
in = -4 V D. v
in = 1.5 V E. v
in = 6 V 20. Assuming that both op amps are ideal and are powered with +/- 15V power supplies, for what values of V
IN
will both LEDs be lit? A. V
IN < 8 V B. V
IN < 10 V C. 2 V < V
IN
< 8 V D. 2 V < V
IN
< 10 V E. 8 V < V
IN
< 10 V
page 12/15 21. The circuit below is technically known as an ‘owl circuit’ and was first developed in the year 1300 BC according to ancient cave paintings found in France. They are thought to have been a primitive attempt to fuse humor and electrical engineering that historians now widely agree failed dramatically. a) Use mesh analysis to write a set of equations that would allow you to solve for the unknown mesh currents i
A
, i
B
, and i
C
. Clearly identify your equations by drawing a box around them. You do not have to solve the equations.
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page 13/15 b) Use nodal analysis to determine the voltage at every node in the circuit (V
1
, V
2
and the dependent source voltage) and write them in the spaces below. You must show your equations and show all work to receive full credit. V
1 =
_________ V
2 =
_________ dependent source voltage =
_________
page 14/15 22. You have been hired by a professor to build an op-amp circuit to amplify the output of a sensor (modeled as a practical source V
in
with 50-
Ω s
ource resistance) so that it can drive a load (modeled as a 500Ω resistor
). Your resulting op-amp design is shown below. 50
Ω
+
−
V
in
R
L
=
500
Ω
_
+
R
1
= 100
Ω R
2
= 400
Ω a) If the maximum amplitude of V
in
is 1V, find the maximum output voltage across the 500-
Ω load resistor and find the maximum output current, I
out
, of the op amp. (7 points) ANSWER: V
Load,max = _______________ I
out, max
= _______________ b) Suppose that you discover that the op amp’s output current in your original circuit is a bit too high. What changes (if any) can you make to the circuit to keep the same gain
and the same load resistance
, but reduce the output current of the op amp? Show the changes on the circuit diagram below. (3 points) 50
Ω
+
−
V
in
R
L
=
500
Ω
_
+
R
1
= 100
Ω R
2
= 400
Ω I
O
→
I
O
→
page 15/15 c) Going back to the original design (shown below), suppose that you want to increase the voltage across the load by changing R
2
. Assuming once again that the maximum amplitude of V
in
is 1V, determine the value R
2 to maximize V
Load
without saturating the amplifier
. Assume that everything else is unchanged and that the saturation voltage of the op amp is +/- 15 V. (4 points) 50
Ω
+
−
V
in
R
L
=
500
Ω
_
+
R
1
= 100
Ω R
2
= 400
Ω ANSWER: R
2 = __________ d) After you perfected your circuit, your professor informs you that they would rather have an op-amp circuit with a gain that can vary from 2 to 4. In the space below, design an op-amp circuit that can achieve this design goal. Assume that you have access to a single
10-
kΩ potentiometer as well as resistors of any values needed (6 points).
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