Robert D. Putnam and David E. Campbell, with Shaylyn Romney
Garrett. American Grace: How Religion Divides and Unites Us.
New York: Simon and Schuster, 2010
Reviewed by James W. Phillips
A
merican Grace is the next pivotal work within the social scientific
Problem 3.6 Use the nodal-analysis method to nd V1 and V2 in the circuit of
Fig. P3.6 and then apply that to determine Ix .
Ix
12
V2
V1
2A
4A
6
6
3A
Figure P3.6: Circuit for Problem 3.6.
Solution: At nodes V1 and V2 :
V1 V1 V2
+
4 = 0
6
12
V2 V2 V1
3 = 0
Problem 3.10 The circuit in Fig. P3.10 contains a dependent current source.
Determine the voltage Vx .
Vx
2
+
+
6V _
3
2Vx
6
+
Vx
_
Figure P3.10: Circuit for Problem 3.10.
Solution: In terms of the node voltage Vx , KCL gives
Vx
Vx 6 Vx
+ 2Vx + = 0,
2
3
6
Problem 3.22 Apply nodal analysis to determine VL in the circuit of Fig. P3.22.
2 k
+
1V
_
3 k
1 k
+
4 k
+
Vx
_
+
_
3Vx
2 k
VL
_
Figure P3.22: Circuit of Problem 3.22.
Solution:
2 k
I1
Vx
I2
3 k
I3
+
+
1V
I5
1 k
_
4 k
I6
Vx
_
+
_
3Vx
2 k
I4
VL
+
VL
_
Fig.
Problem 3.15
Fig. P3.15.
Use the supernode concept to nd the current Ix in the circuit of
supernode
6V
+
V1
2A
V2
0.5
V3
_
Ix
4A
0.5
0.5
Figure P3.15: Circuit for Problem 3.15.
Solution: The presence of a voltage source between designated nodes 1 and 2
Problem 3.25
Fig. P3.25.
Apply nodal analysis to determine Va , Vb , and Vc in the circuit of
15
2.5
5
3A
+
_
50 V
Vc
10
_
Va
10 V
_
+
Vb
25 V
+
7.5
5
Figure P3.25: Circuit of Problem 3.25.
Va 50 Va Vb Va Vc
+
+
=0
5
2.5
15
Vb 10 Vc
Vb Va
+3+
=0
2.5
1
Problem 3.38 Repeat Problem 3.37 after replacing the 5- resistor in Fig. P3.37
with a short circuit.
Ix
+
+
+
12.3 V _
10
I1
4
I4
20
I2
2Ix
I3
2
Figure P3.38: Circuit for Problems 3.37 and 3.38.
Solution:
Mesh 1:
Supermesh 2/3:
Mesh 4:
Auxiliary 1:
Auxi
Problem 3.26 Apply mesh analysis to nd the mesh currents in the circuit of
Fig. P3.26. Use the information to determine the voltage V .
2
+
_
2
4
3
I1
I2
+
16 V
V
_ 12 V
Figure P3.26: Circuit for Problem 3.26.
Solution: Application of KVL to the two loops
Problem 3.33 Use the supermesh concept to solve for Ix in the circuit of Fig. P3.33.
12
Ix
supermesh
I4
4A
2A
I1
6
I2
6
I3
3A
Figure P3.33: Circuit for Problem 3.33.
Solution:
Mesh 1:
Supermesh:
Mesh 3:
Auxiliary:
I1 = 2 A.
6(I2 I1 ) + 12I4 + 6(I2 I3 ) =
Problem 3.31 Apply mesh analysis to determine the amount of power supplied by
the voltage source in Fig. P3.31.
4A
I3
3
6
2
I1
+
2
_
4
I2
48 V
Figure P3.31: Circuit for Problem 3.31.
Solution:
Mesh 1:
2I1 + 3(I1 I3 ) + 2(I1 I2 ) + 48 = 0
Mesh 2:
48 + 2(I
Problem 3.60 Determine the current Ix in the circuit of Fig. P3.60 by applying the
source-superposition method. Call Ix the component of Ix due to the voltage source
the component due to the current source alone. Show that I = I + I
alone, and Ix
x
x
x
Problem 3.5 Apply nodal analysis to determine the voltage VR in the circuit of
Fig. P3.5.
+
+
12 V
_
+ VR
4
V
_
2
+
+
4
_
8V
Figure P3.5: Circuit for Problem 3.5.
Solution: At node V :
V 12 V V 8
+ +
= 0,
4
2
4
which leads to
V = 5 V.
Hence,
VR = 12 V = 1
Problem 3.4 For the circuit in Fig. P3.4:
(a) Apply nodal analysis to nd node voltages V1 and V2 .
(b) Determine the voltage VR and current I.
V1
1
+
+
16 V
1
_
V2
1
+ VR
I
_
1
1
Figure P3.4: Circuit for Problem 3.4.
Solution: (a) At nodes V1 and V2 ,
V1
1
Essay & Assignment Paper Instructions
Course Writing Projects: You will complete four writing projects for this course. Each
project will consist of short Assignment Papers and one formal Essay. See Writers Guidelines
on the Moodle site for this course
Math 113
Final Exam Review 1
You should know how to do the following types of problems:
Find the dot product and cross product of two vectors.
Find the length (magnitude) of a vector.
Find the projection of one vector onto another vector.
Find the ang
MA 112 Exam 3 Winter 2013-2014
Selby
Name
CM
Hour
INSTRUCTIONS
a. Write your name, CM, and class hour in the space provided above.
b. There are 9 problems on 5 pages (excluding this cover page). Make sure you have all the
pages.
c. You must show suici
Answer Key
Testname: 111EXAM1PRACTICE
1) III
2) III and IV only
3) -3
4) 3
5) x = 1
6) x = -2, x = 0, x = 2
7) 1
8) 0
9) L = -18; = 0.03
10) x = y2 ; Entire parabola, bottom to top (from
4th quadrant to origin to 1st quadrant)
8
Number 3176
A Tektronix Company
Overview of Two-Wire and Four-Wire
(Kelvin) Resistance Measurements
Application Note
Series
Both two-wire and four-wire resistance measurements are
features of all Keithley digital multimeters (DMMs) and
SouceMeter instrume
Two-Wire Resistance
Measurements
A Greater Measure of Confidence
Two-Wire vs. Four-Wire
Resistance Measurements:
Which Configuration Makes
Sense for Your Application?
Jerry Janesch
Keithley Instruments, Inc.
M
ost precision digital multimeters (DMMs) and
1
Paragraph Structure:
A paragraph is a collection of related sentences dealing with a single topic. Learning to write
good paragraphs will help you as a writer stay on track during your drafting and revision stages.
Good paragraphing also greatly assists
Problem 2.43 Apply voltage and current division to determine V0 in the circuit of
Fig. P2.43 given that Vout = 0.2 V.
Solution:
I5
+
V5 8 I
_
3
I4
+
V0
_
+
V4 4
_
I2
+
V2 2
_
Figure P2.43: Circuit
for Problem 2.43.
+
V3 4 I
_
1
+
V1
_
2
1
+
Vout = 0.2 V
_
Problem 2.46 Use circuit transformations to determine I in the circuit of Fig. P2.46.
Solution:
3A
6
4
3
_
+
I
2A
30 V
4
2
6
12 V
_
10 A
4
+
4
I
+
8V
3
_
2
6
3
9
=2
8
+
20 V
10 A 2
_
20 V
_
8
I
2
+
I
+
20 V
2
_
Fig. P2.46 (a)
I=
20 20
= 0.
8+2+2
All righ
Problem 3.67 For the circuit in Fig. P3.66, nd the Th venin equivalent circuit as
e
seen by the 6- resistor connected between terminals (c, d) as if the 6- resistor is a
load resistor connected to (but external to) the circuit. Determine the current owing