Parts (a) and (b) refer to the circuit below.
(a) Solve for the voltage v out
using the principle of superposition.
(b) What fraction of the current i out
is produced by the 2-A source?
Fall 2013, Exam #2, Problem #2
Answers : (a) 20 V , (b) 40 %
1

Parts (a), (b), and (c) refer to the circuit below.
(a) Solve for the current i by using source transformations.
(b) Solve for the voltage v by using the principle of superposition.
(c) What fraction of the current i is produced by the 2-A source?
Fall 2013, Exam #2 sample, Problem #1
Answers : (a) 1.2 A , (b) 6 V , (c) ½
2

Parts (a), (b), and (c) refer to the circuit below. Assume g m
= 5 A/V.
(a) Write the Thevenin equivalent of this circuit with respect to its output terminals.
(b) What is the value of load resistance, connected across the output, which maximizes power absorbed by the load from this circuit?
(c) If the voltage source in the original circuit were changed to 8 mV (constant), how much current would flow through a 6-

load connected to its output?
Fall 2013, Exam #2 sample, Problem #2
Answers : (a) –180sin( wt ) mV , R
TH
= 3

(b) 3

, (c) 10 mA
3

Using the principle of superposition, determine the voltage v .
Fall 2014, Exam #2, Problem #3
Answer : 4 V
4

Determine the maximum amount of power that may be delivered to a load resistor R
L attached to terminals a
– b .
Fall 2014, Exam #2, Problem #4
Answer : 8 W
5

Parts (a)–(d) refer to the network below, to which a load R
L
may be connected at A
–
B .
(a) Determine the value of the load resistor R
L
that, when connected across A
–
B , absorbs the maximum amount of power from the network ( R
MP
).
(b) Determine the maximum power that may be delivered from the network to a load at A
–
B .
(c) Sketch the power absorbed by R
L versus the value of R
L
, from R
L
= R
MP
/4 to R
L
= 4 R
MP
.
(d) Determine the voltage that appears across a 5-mA test source connected to A
–
B if the 48-V source is deactivated.
Fall 2013, Take-home exam, Problem #3
Answers : (a) 4 k

, (b) 9 mW , (c) , (d) 20 V
6

For the circuit below, determine the percentage of the total voltage v that is produced by the 6-A source.
Fall 2014, Take-home exam, Problem #4
Answer : 60%
7

Determine the maximum amount of power that may be delivered to a load attached to terminals a
– b in the circuit below.
Fall 2014, Take-home exam, Problem #5
Answer : 36 mW
8

Determine the maximum amount of power that this network may deliver to a load connected at A
–
B .
Fall 2013, Final exam, Problem #1
Answer : 1 mW
9

For the circuit below, determine the fraction of the voltage v produced by the 30-A source.
Fall 2013, Final exam, Problem #3
Answer : 1/6
10

Determine the fraction of the voltage v produced by the current source.
Fall 2014, Final exam, Problem #6
Answer : 1/3
11

Determine the maximum amount of power that may be delivered to a resistive load attached to terminals A
–
B .
Fall 2014, Final exam, Problem #7
Answer : 9 W
12

The questions below refer to the following empty network, which may be populated at terminals C
–
D , E
–
F , and G
–
H by linear elements.
Determine the Thevenin equivalent circuit at terminals A
–
B if
(a) a 7-k

resistor is connected at C – D , a 4-k

resistor is connected at E – F , and a 5-k

resistor is connected at G – H .
(b) a 18-V source (positive terminal to the right) is connected at C
–
D , a 6-k

resistor is connected at E
–
F , and a 3-k

resistor is connected at G – H .
(c) a 5-

resistor is connected at C – D , a 2-mA source (current pointed upwards) is connected at E
–
F , and a 10-

resistor is connected at G
–
H .
(d) a 3-k

resistor is connected at C
–
D , terminals E
–
F remain open, and a 9-V source (positive terminal to the right) is connected at G – H .
(e) terminals C
–
D are shorted, a 6-k

resistor is connected at E – F , a 6-mA source (pointed to the right) in parallel with a 12-k

resistor is connected at G – H .
(f) a 7-

resistor is connected at C – D , an 11-

resistor is connected at E – F , and terminals G
–
H remain open.
(g) a 5-V source (positive terminal to the left) in series with 3 k

is connected at C
–
D , terminals E
–
F remain open, and an 8-V source (positive terminal to the left) in series with 4 k

is connected at G
–
H .
(h) a 53-k

resistor is connected at C
–
D , a 10-

resistor is connected at E
–
F , and a 26-k

resistor is connected at G
–
H .
(i) a 2-

resistor is connected at C
–
D , a 47-k

resistor is connected at E – F , and a 13-

resistor is connected at G
–
H .
Fall 2014, Final exam review, Problem #3
Answers : (a) 3 k

, (b) 12 V, 2 k

, (c) 30 mV, 15

, (d) –9 V, 3 k

,
(e) 24 V, 4 k

, (f) 11

, (g) 3 V, 7 k

, (h) 10

, (i) 15

13

Parts (a)–(d) refer to the network below, to which a load R
L
may be connected at A
–
B .
(a) Determine the Thevenin equivalent of this network at terminals A
–
B .
(b) Determine the maximum power that may be delivered from the network to a load at A
–
B .
(c) Sketch the power absorbed by R
L versus the value of R
L
, from R
L
= 1 k

to R
L
= 100 k

.
(d) Determine the voltage that appears across a 3-mA test source connected to A
–
B
if the independent sources in the circuit are deactivated.
Fall 2014, Final exam review, Problem #8
Answers : (a) 18 V , 27 k

, (b) 3 mW , (d) 81 V
14

Employ superposition principles to obtain a value for the current I x as labeled in the circuit below.
Fall 2013, Homework #5, Problem #5
Answer : –339 mA
15

(a) Employ superposition to determine the individual contribution from each independent source to the voltage v as labeled in the circuit below. (b) Compute the power absorbed by the 2-
 resistor.
Fall 2013, Homework #5, Problem #1
Answers : (a) 692 mV , 2.68 V (b) 781 mW
16

(a) Making use of repeated source transformations, reduce the circuit below such that it contains a single voltage source, the 17-

resistor, and one other resistor. (b) Calculate the power dissipated by the 17-

resistor.
Fall 2013, Homework #5, Problem #2
Answers : (a) 351 mV , 7.2

, (b) 3.6 mW
17

Obtain the Thevenin equivalent resistance seen looking into the open terminals of the circuit by
(a) finding V
OC
and I
SC
and then taking their ratio, (b) setting all independent sources to zero and using resistor combination techniques, and (c) connecting an unknown current source to the terminals, deactivating all other sources, finding an algebraic expression for the voltage that develops across the source, and taking the ratio of the two quantities.
Fall 2013, Homework #5, Problem #6
Answer : 1.16

18

With regard to the circuit below, determine the power dissipated by (a) a 1-k

resistor connected between a and b , (b) a 4.7-k

resistor connected between a and b , and (c) a 10.54-k

resistor connected between a and b .
Fall 2013, Homework #5, Problem #3
Answers : (a) 5.7 nW , (b) 1.3 nW , (c) 590 pW
19

For the circuit below, determine the value of R
L
that will absorb the maximum possible amount of power.
Fall 2013, Homework #5, Problem #4
Answer : 1

20

The circuit shown below contains an unspecified resistance R .
(a) Determine the value of the current i when R = 4

.
(b) Determine the value of the voltage v when R = 8

.
(c) Determine the value of R that will cause i = 1 A .
(d) Determine the value of R that will cause v = 16 V .
Fall 2014, Homework #4, Problem #1
Answers : (a) 2 A , (b) 12 V , (c) 16

, (d) 16

21

Find the Thevenin equivalent circuit of the circuit below at terminals a
– b .
Fall 2014, Homework #4, Problem #4
Answer : 3 V , 3

22

For the circuit below, use source transformations to determine the power absorbed by the 7-V source.
Fall 2015, Homework #4, Problem #1
Answer : –17.3 W
23

For the circuit below, use superposition to determine the voltage labeled v x
.
Fall 2015, Homework #4, Problem #2
Answer : 1.32 V
24

For the circuit below, determine the value of R
L that will absorb maximum power from the circuit.
Fall 2015, Homework #4, Problem #4
Answer : 6.9

25

For the circuit below, determine the Thevenin equivalent network at terminals a
– b .
Fall 2015, Homework #4, Problem #5
Answer : V
TH
= 0 V , R
TH
= 13.2

26

Using superposition, solve for the current i .
Fall 2105, Exam #2, Problem #3
Answer : 6 A
27

Determine the resistance which, when placed across terminals a
– b , absorbs maximum power from this network.
Fall 2015, Exam #2, Problem #4
Answer : 8

28

For the circuit below, solve for the voltage v o
when the current source is deactivated.
Fall 2015, Final exam, Problem #4
Answer : –26 V
29

For the network given, determine the Thevenin equivalent resistance at terminals C
–
D .
Fall 2015, Final exam, Problem #5
Answer : 2

30

Determine the node voltage “Vx” by superposition.
Fall 2015, Take-home exam, Problem #3
Answer : 34 V
31

In the circuit given, determine the Thevenin equivalent resistance at terminals a
– b .
Fall 2015, Take-home exam, Problem #4
Answer : 56

32