Avery Fitness has commissioned a survey of existing customers to l.docx

Avery Fitness has commissioned a survey of existing customers
to learn more about each customer's habits and profitability.
Avery wants to grow sales and is considering options for the
following:
· Acquiring new customers.
· Adding additional equipment.
· Increasing per customer spend.
Use the attached files to analyze the results of the Avery Fitness
Survey and make recommendations. Be sure to cite data and
your reasoning for making each recommendation.
Avery is also considering expanding to open a new fitness
center in a nearby area. They are currently considering zip
codes 71901 and 72032. Which location would you recommend
and why? Make recommendations to Avery as how to best
design and market the new facility.
11/30/2018 HW7
https://session.masteringphysics.com/myct/assignmentPrintView
?displayMode=studentView&assignmentID=6923433 1/16
HW7
Due: 11:59pm on Sunday, November 18, 2018
You will receive no credit for items you complete after the
assignment is due. Grading Policy
Exercise 28.10
A short current element = (0.500 ) carries a current of 4.60 in
the same direction as . Point is located at

= ( -0.730 ) + (0.390 ) .
Part A
Find the magnetic field at produced by this current element.
Enter the , , and components of the magnetic field separated by
commas.
ANSWER:
Exercise 28.24
A rectangular loop with dimensions 4.20 by 9.50 carries
current . The current in the loop produces a magnetic field at
the center of the loop that has magnitude 5.20×10−5 and
direction away from you as you view the plane of the loop.
Part A
What is the magnitude of the current in the loop?
Express your answer with the appropriate units.
ANSWER:
Part B
What is the direction of the current in the loop?
ANSWER:
Exercise 28.36
A closely wound, circular coil with radius 2.20 has 760 turns.

dl ⃗ mm ĵ A dl ⃗ P
r ⃗ m î m k̂
P
x y z
, , = dBx dBy dBz T
cm cm I
T
= I
clockwise
counterclockwise
cm
11/30/2018 HW7
Part A
What must the current in the coil be if the magnetic field at the
center of the coil is 0.0760 ?
Express your answer to three significant figures and include the
appropriate units.

ANSWER:
Part B
At what distance from the center of the coil, on the axis of the
coil, is the magnetic field half its value at the center?
appropriate units.
ANSWER:
Exercise 28.39
Two round concentric metal wires lie on a tabletop, one inside
the other. The inner wire has a diameter of 23.0 and carries a
clockwise current of 16.0 , as viewed from above, and the outer
wire has a diameter of 40.0 .
Part A
What must be the direction (as viewed from above) of the
current in the outer wire so that the net magnetic field due to
this
combination of wires is zero at the common center of the wires?
ANSWER:
Part B
What must be the magnitude of the current in the outer wire so
that the net magnetic field due to this combination of wires is
zero at the common center of the wires?
ANSWER:

Exercise 28.34
Part A
T
= I
x
= x
cm
A cm
The current's direction must be clockwise.
The current's direction must be counterclockwise.
= I A
11/30/2018 HW7
Calculate the magnitude of the magnetic field at point P due to
the current in the semicircular section of wire shown in the
figure . (Hint: Does the current in the long, straight section of
the
wire produce any field at P?)
Express your answer in terms of the variables , and
appropriate constants.

ANSWER:
Part B
Find the direction of the magnetic field at point P.
ANSWER:
Exercise 28.26
Four very long, current-carrying wires in the same plane
intersect to form a square with sidelengths 32.0 , as shown in
the
figure .
I R
into the page
out of the page
cm
11/30/2018 HW7
Part A
Find the magnitude of the current so that the magnetic field at
the center of the square is zero.

Express your answer using two significant figures.
ANSWER:
Part B
Find the direction of the current so that the magnetic field at
the center of the square is zero.
ANSWER:
Exercise 28.44
A solid conductor with radius a is supported by insulating disks
on the axis of a conducting tube with inner radius and outer
radius (). The central conductor and tube carry currents and
correspondingly in the same direction. The currents are
distributed
uniformly over the cross sections of each conductor. Derive an
expression for the magnitude of the magnetic field
Part A
at points outside the central, solid conductor but inside the tube
Express your answer in terms of the variables , , ( ), and
appropriate constants ( and ).
ANSWER:
I
= I A

I
upward
downward
b
c I1 I2
I1 I2 r a < r < b μ0 π
= B(r)
11/30/2018 HW7
Part B
at points outside the tube
Express your answer in terms of the variables , , ( ), and
appropriate constants ( and ).
ANSWER:
Exercise 28.51
A wooden ring whose mean diameter is 14.0 is wound with a
closely spaced toroidal winding of 595 turns.
Part A

Compute the magnitude of the magnetic field at the center of
the cross section of the windings when the current in the
windings is 0.670 .
ANSWER:
Exercise 28.54
The current in the windings of a toroidal solenoid is 2.700 .
There are 490 turns and the mean radius is 23.00 . The
toroidal solenoid is filled with a magnetic material. The
magnetic field inside the windings is found to be 1.920 .
Part A
Calculate the relative permeability.
Express your answer using four significant figures.
ANSWER:
Part B
Calculate the magnetic susceptibility of the material that fills
the toroid.
Express your answer using four significant figures.
ANSWER:
Conceptual Question 28.01
I1 I2 r r > c μ0 π
= B(r)

cm
A
= B T
A cm
T
= Km
= χm
11/30/2018 HW7
Part A
A vertical wire carries a current straight down. To the east of
this wire, the magnetic field points
ANSWER:
Part A
Two long parallel wires placed side-by-side on a horizontal
table carry identical size currents in opposite directions. The
wire
on your right carries current toward you, and the wire on your
left carries current away from you. From your point of view, the

magnetic field at the point exactly midway between the two
wires
ANSWER:
Part A
Two very long parallel wires in the xy-plane, a distance 2
apart, are parallel to the y-axis and carry equal currents as
shown in the figure. The + direction points perpendicular to the
xy-plane in a right-handed coordinate system. If both
currents flow in the + direction, which one of the graphs shown
in the figure below best represents the component of the
net magnetic field, in the xy-plane, as a function of ? (Caution:
These graphs are not magnetic field lines.)
toward the south.
toward the north.
toward the west.
downward.
toward the east.
points downward.
points upward.
is zero.
points toward you.

points away from you.
a I
z
y z
x
11/30/2018 HW7
ANSWER:
11/30/2018 HW7
Part A
Two very long parallel wires in the xy-plane, a distance 2
apart, are parallel to the y-axis and carry equal currents as
shown in the figure. The + direction points perpendicular to the
xy-plane in a right-handed coordinate system. If the left
current flows in the + direction and the right current flows in
the -y direction, which one of the graphs shown in the figure

below best represents the component of the net magnetic field,
in the xy-plane, as a function of ? (Caution: These
graphs are not magnetic field lines.)
1
2
3
4
5
a I
z
y
z x
11/30/2018 HW7
ANSWER:
Part A
1

2
3
4
5
11/30/2018 HW7
The figure shows three long, parallel current-carrying wires.
The magnitudes of the currents are equal and their directions
are indicated in the figure. Which of the arrows drawn near the
wire carrying current 1 correctly indicates the direction of the
magnetic force acting on that wire?
ANSWER:
Part A
A long straight conductor has a constant current flowing to the
right. A wire rectangle is situated above the wire, and also
has a constant current flowing through it (as shown in the
figure). Which of the following statements is true?
ANSWER:
A

B
C
D
The magnetic force on current 1 is equal to zero.
11/30/2018 HW7
Part A
A very long, hollow, thin-walled conducting cylindrical shell
(like a pipe) of radius carries a current along its length
uniformly distributed throughout the thin shell. Which one of
the graphs shown in the figure most accurately describes the
magnitude of the magnetic field produced by this current as a
function of the distance from the central axis?
ANSWER:
The net magnetic force on the wire rectangle is zero, and the net
torque on it is zero.
The net magnetic force on the wire rectangle is downward, and
the net torque on it is zero.
The net magnetic force on the wire rectangle is downward, and

there is also a net torque on the it.
The net magnetic force on the wire rectangle is zero, but there
is a net torque on it.
The net magnetic force on the wire rectangle is upward, and
there is also a net torque on the it.
R
B r
11/30/2018 HW7
Part A
Consider a solenoid of length , windings, and radius ( is much
longer than ). A current is flowing through the
wire. If the radius of the solenoid were doubled (becoming 2b),
and all other quantities remained the same, the magnetic
field inside the solenoid would
ANSWER:
Prelecture Concept Question 28.04
Part A
Two long parallel wires are placed side by side on a horizontal

table. The wires carry equal currents in the same direction.
Which of the following statements are true?
Check all that apply.
ANSWER:
1
2
3
4
5
L N b L b I
become one half as strong.
become twice as strong.
remain the same.
The magnetic force between the two wires is attractive.
The magnetic field at a point midway between the two wires is
zero.
The magnetic field is a maximum at a point midway between the
two wires.
The magnetic force between the two wires is repulsive.

11/30/2018 HW7
Part A
Which of the following statements are true concerning the
creation of magnetic fields?
ANSWER:
Problem 28.04
Part A
A very long thin wire produces a magnetic field of 5×10−3 ×
10-4 T at a distance of 1 mm. from the central axis of the wire.
What is the magnitude of the current in the wire? (μ 0 = 4π ×
10-7 T · m/A)
ANSWER:
Problem 28.02
Part A
A point charge Q moves on the x-axis in the positive direction
with a speed of 370 m/s. A point P is on the y-axis at y = +50
mm. The magnetic field produced at point P, as the charge
moves through the origin, is equal to -0.7 μT . When the charge

is at x = +40 mm, what is the magnitude of the magnetic field at
point P? (μ 0 = 4π × 10-7 T · m/A)
ANSWER:
A distribution of electric charges at rest creates a magnetic field
at all points in the surrounding region.
A single stationary electric charge creates a magnetic field at all
points in the surrounding region.
An electric current in a conductor creates a magnetic field at all
points in the surrounding region.
A moving electric charge creates a magnetic field at all points
in the surrounding region.
A permanent magnet creates a magnetic field at all points in the
surrounding region.
5.0 mA
1.0×104 mA
2.5 mA
7900 mA
k̂
11/30/2018 HW7

Problem 28.18
Part A
A long straight wire on the -axis carries a current of 6.0 A in
the positive direction. A circular loop in the xy-plane, of radius
10 cm, carries a 1.0-A current, as shown in the figure. Point , at
the center of the loop, is 25 cm from the -axis. An
electron is projected from with a velocity of 1.0 × 106 m/s in
the negative -direction. What is the component of the
force on the electron? ( = 1.60 × 10-19 C, μ 0 = 4π × 10-7 T ·
m/A)
ANSWER:
Problem 28.21
0.33 μT
0.63 μT
0.53 μT
0.43 μT
0.73 μT
z
P z
P x y
e
-2.0 × 10-18 N

+1.0 × 10-18 N
-1.0 × 10-18 N
+2.0 × 10-18 N
zero
11/30/2018 HW7
Part A
As shown in the figure, a wire is bent into the shape of a tightly
closed omega ( ), with a circular loop of radius 4.0 cm and
two long straight sections. The loop is in the xy-plane, with the
center at the origin. The straight sections are parallel to the
-axis. The wire carries a 5.0-A current, as shown. What is the
magnitude of the magnetic field at the center of the loop? (μ
0 = 4π × 10-7 T · m/A)
ANSWER:
Problem 28.30
Part A
A cylindrical insulated wire of diameter 4.0 mm is tightly
wound 300 times around a cylindrical core to form a solenoid

with
adjacent coils touching each other. When a 0.30 A current is
sent through the wire, what is the magnitude of the magnetic
field on the axis of the solenoid near its center? (μ 0 = 4π × 10-
7 T · m/A)
ANSWER:
Problem 28.68
Ω
x
80 µT
25 µT
40 µT
54 µT
104 µT
11.2 × 10-5 T
4.7 × 10-5 T
5.2 × 10-5 T
9.4 × 10-5 T
7.8 × 10-5 T

11/30/2018 HW7
In the wire shown in segment is an arc of a circle with radius
30.0 , and point is at the center of curvature of the arc.
Segment
is an arc of a circle with radius 20.0 , and point is at its
center of curvature. Segments and are straight lines of
length 10.0 each.
Part A
Calculate the magnitude of the magnetic field at a point due to
a current 11.0 in the wire.
Express your answer with the appropriate units
ANSWER:
Part B
What is the direction of magnetic field?
ANSWER:
Score Summary:
Your score on this assignment is 0.0%.
You received 0 out of a possible total of 25 points.
BC
cm P

DA cm P
CD AB
cm
P A
= B
into the page
out of the page
11/30/2018 HW2
HW2
Due: 11:59pm on Monday, September 24, 2018
Exercise 22.2
A flat sheet is in the shape of a rectangle with sides of lengths
0.400 and 0.600 . The sheet is immersed in a uniform
electric field of magnitude 60.0 that is directed at 20 from the
plane of the sheet .
Part A

Find the magnitude of the electric flux through the sheet.
Express your answer to two significant figures and include the
appropriate units.
ANSWER:
Exercise 22.4
It was shown in Example 21.11 (Section 21.5) in the textbook
that the electric field due to an infinite line of charge is
perpendicular to the line and has magnitude . Consider an
imaginary cylinder with a radius of = 0.130 and a
length of = 0.430 that has an infinite line of positive charge
running along its axis. The charge per unit length on the line is
= 7.20 .
Part A
What is the electric flux through the cylinder due to this infinite
line of charge?
ANSWER:
Part B
m m
N/C ∘
= Φ
E = λ/2π rϵ0 r m
l m λ
μC/m

= Φ /CN ⋅ m2
11/30/2018 HW2
What is the flux through the cylinder if its radius is increased to
0.505 ?
ANSWER:
Part C
What is the flux through the cylinder if its length is increased to
0.810 ?
ANSWER:
Exercise 22.9
A charged paint is spread in a very thin uniform layer over the
surface of a plastic sphere of diameter 18.0 , giving it a charge
of -49.0 .
Part A
Find the electric field just inside the paint layer.
Express your answer with the appropriate units. Enter positive
value if the field is directed away from the center of
the sphere and negative value if the field is directed toward the
center of the sphere.

ANSWER:
Part B
Find the electric field just outside the paint layer.
ANSWER:
Part C
Find the electric field 5.00 outside the surface of the paint
layer.
ANSWER:
r = m
= Φ /CN ⋅ m2
l = m
= Φ /CN ⋅ m2
cm
μC

= E
= E
cm
11/30/2018 HW2
Instructors: View all hidden parts
Gauss's Law
Learning Goal:
To understand the meaning of the variables in Gauss's law, and
the conditions under which the law is applicable.
Gauss's law is usually written
where is the permittivity of vacuum.
Part A
How should the integral in Gauss's law be evaluated?
ANSWER:
Part B Complete previous part(s)
Exercise 22.12

The nuclei of large atoms, such as uranium, with protons, can
be modeled as spherically symmetric spheres of charge. The
radius of the uranium nucleus is approximately .
Part A
What is the electric field this nucleus produces just outside its
surface?
ANSWER:
Part B
What magnitude of electric field does it produce at the distance
of the electrons, which is about 1.9×10−10 ?
= E
= ⃗ ⃗d = ,ΦE E⃗ A⃗
qencl
ϵ0
= 8.85 × /(N ⋅ )ϵ0 10
−12 C2 m2
around the perimeter of a closed loop
over the surface bounded by a closed loop

over a closed surface
92
7.4 × m10−15
= E N/C
m
11/30/2018 HW2
Instructors: View all hidden parts
ANSWER:
Part C
The electrons can be modeled as forming a uniform shell of
negative charge. What net electric field do they produce at the
location of the nucleus?
ANSWER:
A Charged Sphere with a Cavity
An insulating sphere of radius , centered at the origin, has a
uniform volume charge density .
Part A

Find the electric field inside the sphere (for < ) in terms of the
position vector .
Express your answer in terms of , (Greek letter rho), and .
You did not open hints for this part.
ANSWER:
Part B Complete previous part(s)
± The Charge on a Thundercloud
In a thunderstorm, charge builds up on the water droplets or ice
crystals in a cloud. Thus, the charge can be considered to be
distributed uniformly throughout the cloud. For the purposes of
this problem, take the cloud to be a sphere of diameter 1.00
kilometer. The point of this problem is to estimate the maximum
amount of charge that this cloud can contain, assuming that the
charge builds up until the electric field at the surface of the
cloud reaches the value at which the surrounding air breaks
down.
This breakdown means that the air becomes highly ionized,
enabling it to conduct the charge from the cloud to the ground
or
another nearby cloud. The ionized air will then emit light due to
the recombination of the electrons and atoms to form excited
molecules that radiate light. In addition, the large current will
heat up the air, resulting in its rapid expansion. These two
phenomena account for the appearance of lightning and the
sound of thunder. Take the breakdown electric field of air to be
.
Part A

Estimate the total charge on the cloud when the breakdown of
the surrounding air is reached.
= E N/C
= Enet N/C
a ρ
( )E ⃗ r ⃗ r a r ⃗
r ⃗ ρ ϵ0
= ( )E ⃗ r ⃗
= 3.00 × N/CEb 10
6
q
11/30/2018 HW2
Express your answer numerically, to three significant figures,
using .
ANSWER:
Charge Distribution on a Conducting Shell - 2

A positive charge is kept (fixed) off-center inside a fixed
spherical conducting shell that is electrically neutral, and the
charges in
the shell are allowed to reach electrostatic equilibrium.
Part A
The large positive charge inside the shell is roughly 16 times
that of the smaller charges shown on the inner and outer
surfaces of the spherical shell. Which of the following figures
best represents the charge distribution on the inner and outer
walls of the shell?
ANSWER:
Charge Distribution on a Conducting Shell - 1
A positive charge is kept (fixed) at the center inside a fixed
spherical neutral conducting shell.
= 8.85 × /(N ⋅ )ϵ0 10
−12 C2 m2
= Coulombs q
1
2
3
4

5
11/30/2018 HW2
Part A
The positive charge is equal to roughly 16 of the smaller
charges shown on the surfaces of the spherical shell. Which of
the
pictures best represents the charge distribution on the inner and
outer walls of the shell?
ANSWER:
Part A
If the electric flux through a closed surface is zero, the electric
field at points on that surface must be zero.
ANSWER:
1
2

3
4
5
True
False
11/30/2018 HW2
Part A
The figure shows four Gaussian surfaces surrounding a
distribtuion of charges.
(a) Which Gaussian surfaces have an electric flux of through
them?
ANSWER:
Part B
(b) Which Gaussian surfaces have no electric flux through
them?
ANSWER:

Part A
Consider a spherical Gaussian surface of radius centered at the
origin. A charge is placed inside the sphere. To
maximize the magnitude of the flux of the electric field through
the Gaussian surface, the charge should be located
ANSWER:
+q/ϵ0
b
c
d
a
a
c
b
d
R Q
11/30/2018 HW2

Part A
An uncharged conductor has a hollow cavity inside of it. Within
this cavity there is a charge of +10µC that does not touch the
conductor. There are no other charges in the vicinity. Which
statement about this conductor is true? (There may be more
than one correct choice.)
ANSWER:
Part A
A charge is uniformly spread over one surface of a very large
nonconducting square elastic sheet having sides of length
. At a point that is 1.25 cm outside the sheet, the magnitude of
the electric field due to the sheet is . If the sheet is now
stretched so that its sides have length 2 , what is the magnitude
of the electric field at ?
ANSWER:
at = 0, = /2, = 0.x y R z
at = /2, = 0, = 0.x R y z
at = 0, = 0, = /2.x y z R
at the origin.

The charge can be located anywhere, since flux does not depend
on the position of the charge as long as it is
inside the sphere.
The inner surface of the conductor carries a charge of -10µC
and its outer surface carries no excess charge.
The inner and outer surfaces of the conductor each contain
charges of -5µC.
The net electric field within the material of the conductor points
away from the +10µC charge.
The outer surface of the conductor contains +10µC of charge
and the inner surface contains -10µC.
Both surfaces of the conductor carry no excess charge because
the conductor is uncharged.
Q
d P E
d P
11/30/2018 HW2
Part A
Five point charges q and four Gaussian surfaces S are shown in

the figure. What is the total electric flux through surface
S2?
ANSWER:
4E
/2E
E
/4E
2E
11/30/2018 HW2
Part A
Five point charges q and four Gaussian surfaces S are
represented in the figure shown. Through which of the Gaussian
surfaces are the total electric flux zero?
ANSWER:
zero

3q/εo
5q/εo
q/εo
2q/εo
4q/εo
11/30/2018 HW2
Problem 22.16
Part A
Electric charge is uniformly distributed inside a nonconducting
sphere of radius 0.30 m. The electric field at a point , which
is 0.50 m from the center of the sphere, is 15,000 N/C and is
directed radially outward. What is the maximum magnitude of
the electric field due to this sphere?
ANSWER:
Problem 22.23
Part A
A huge (essentially infinite) horizontal nonconducting sheet
10.0 cm thick has charge uniformly spread over both faces. The
upper face carries +95.0 nC/m2 while the lower face carries -

25.0 nC/ m2. What is the magnitude of the electric field at a
point within the sheet 2.00 cm below the upper face? ( = 8.85 ×
10-12 C2/N · m2)
ANSWER:
S2
S3
S4
S1
The total electric flux is not zero through any of the Gaussian
surfaces.
P
36,000 N/C
42,000 N/C
48,000 N/C
30,000 N/C
25,000 N/C
ε0
11/30/2018 HW2

Problem 22.22
Part A
A very large sheet of a conductor carries a uniform charge
density of 4.00 pC/mm2 on its surfaces. What is the electric
field
strength 3.00 mm outside the surface of the conductor? ( = 8.85
× 10-12 C2/N · m2)
ANSWER:
Problem 22.38
A long line carrying a uniform linear charge density runs
parallel to and from the surface of a large, flat
plastic sheet that has a uniform surface charge density of on
one side.
Part A
Find the location of all points where an particle would feel no
force due to this arrangement of charged objects.
ANSWER:
Part B
Choose an appropriate location of these points at a distance,
calculated in part A.
0.00 N/C
1.36 × 104 N/C

7.91 × 103 N/C
3.95 × 103 N/C
6.78 × 103 N/C
ε0
9.04 × 105 N/C
4.52 × 105 N/C
2.26 × 105 N/C
0.226 N/C
0.452 N/C
+50.0 μC/m 10.0 cm
−100 μC/m2
α
= from the line. L m
11/30/2018 HW2
ANSWER:
Score Summary:

above the line
between the line and the sheet
11/30/2018 HW3
HW3
Due: 11:59pm on Friday, October 5, 2018
Exercise 23.10
Four electrons are located at the corners of a square 10.0 on a
side, with an alpha particle at its midpoint.
Part A
How much work is done by the Coulomb force when the alpha
particle
moves to the midpoint of one of the sides of the square?
ANSWER:

Exercise 23.2
A point charge is held stationary at the origin. A second charge
is placed at point , and the electric potential energy of the
pair of charges is . When the second charge is moved to point ,
the electric force on the charge does
of work.
Part A
What is the electric potential energy of the pair of charges when
the second charge is at point ?
ANSWER:
Exercise 23.16
Two stationary point charges + 3.00 and + 2.00 are separated
by a distance of 50.0 . An electron is released from
rest at a point midway between the two charges and moves
along the line connecting the two charges.
Part A
What is the speed of the electron when it is 10.0 from the +
3.00- charge?
ANSWER:
Exercise 23.39
nm

= W J
q1 q2 a
+5.4 × J10−8 b
−1.9 × J10−8
b
J
nC nC cm
cm nC
= v m/s
11/30/2018 HW3
The electric field at the surface of a charged, solid, copper
sphere with radius 0.250 is 3500 , directed toward the center
of the sphere. .
Part A
What is the potential at the center of the sphere, if we take the
potential to be zero infinitely far from the sphere?
ANSWER:

Part A
If the electric field is zero everywhere inside a region of space,
the potential must also be zero in that region.
ANSWER:
Part A
If the electrical potential in a region is constant, the electric
field must be zero everywhere in that region.
ANSWER:
Part A
Suppose a region of space has a uniform electric field, directed
towards the right, as shown in the figure. Which statement
about the electric potential is true?
m N/C
= V V
True
False
True
False

11/30/2018 HW3
ANSWER:
Part A
Suppose you have two point charges of opposite sign. As you
move them farther and farther apart, the potential energy of
this system relative to infinity
ANSWER:
Part A
A nonconducting sphere contains positive charge distributed
uniformly throughout its volume. Which statements about the
potential due to this sphere are true? All potentials are
measured relative to infinity. (There may be more than one
correct
choice.)
Choose all that apply.
ANSWER:

The potential at points and are equal, and the potential at point
is higher than the potential at point .A B C A
The potential at all three locations ( , , ) is the same because the
field is uniform.A B C
The potential at point is the highest, the potential at point is
the second highest, and the potential at point
is the lowest.
A B C
The potential at points and are equal, and the potential at point
is lower than the potential at point .A B C A
stays the same.
increases.
decreases.
11/30/2018 HW3
Part A
A positive charge moves in the direction of an electric field.

ANSWER:
Part A
A positive charge is moved from point A to point B along an
equipotential surface. How much work is performed or required
in moving the charge?
ANSWER:
The potential at the surface is higher then the potential at the
center.
The potential at the center of the sphere is zero.
The potential at the center of the sphere is the same as the
potential at the surface.
The potential at the center is the same as the potential at
infinity.
The potential is highest at the center of the sphere.
The potential energy associated with the charge decreases.
The electric field does positive work on the charge.
The potential energy associated with the charge increases.
The electric field does negative work on the charge.
The electric field does not do any work on the charge.

The amount of work done on the charge cannot be determined
without additional information.
Work is both performed and required in moving the charge from
point A to point B.
Work is required in moving the positive charge from point A to
point B.
No work is performed or required in moving the positive charge
from point A to point B.
Work is performed in moving the positive charge from point A
to point B.
11/30/2018 HW3
Part A
ANSWER:
Problem 23.06
Part A

A +4.0 μC-point charge and a -4.0-μC point charge are placed
as shown in the figure. What is the potential difference, A -
B, between points and ? ( = 1/4π = 8.99 × 109 N · m2/C2)
ANSWER:
An equipotential surface is a three-dimensional surface on
which the electric potential is the same at every point.
Electric field lines and equipotential surfaces are always
mutually perpendicular.
The potential energy of a test charge decreases as it moves
along an equipotential surface.
When all charges are at rest, the surface of a conductor is
always an equipotential surface.
The potential energy of a test charge increases as it moves along
an equipotential surface.
V
V A B k ε0
11/30/2018 HW3
Problem 23.28
Part A

Two long conducting cylindrical shells are coaxial and have
radii of 20 mm and 80 mm. The electric potential of the inner
conductor, with respect to the outer conductor, is +600 V. What
is the maximum electric field magnitude between the
cylinders? ( = 1/4π = 8.99 × 109 N · m2/C2)
ANSWER:
Problem 23.37
Part A
In a certain region, the electric potential due to a charge
distribution is given by the equation
where x and y are measured in meters and is in volts. At which
point is the electric field equal to zero?
ANSWER:
96 kV
48 kV
0.00 V
48 V
96 V
k ε0
10,000 V/m
18,000 V/m
22,000 V/m

26,000 V/m
14,000 V/m
V (x, y) = 2xy − − y,x2
V
11/30/2018 HW3
Problem 24.66
A parallel-plate capacitor is made from two plates 12.0 on each
side and 4.50 apart. Half of the space between these
plates contains only air, but the other half is filled with
Plexiglas of dielectric constant 3.40. (See the figure below.) An
18.0
battery is connected across the plates.
Part A
What is the capacitance of this combination?
ANSWER:
Part B
How much energy is stored in the capacitor?
ANSWER:

Part C
If we remove the Plexiglas, but change nothing else, how much
energy will be stored in the capacitor?
ANSWER:
Problem 24.57
= 0.5 m, = 0.5 mx y
= 1 m, = 1 mx y
= 1 m, = 0.5 mx y
= 0.5 m, = 1 mx y
= 0 m, = 0 mx y
cm mm
V
= C F
= U J
= U J
11/30/2018 HW3

Three capacitors having capacitances of 9.0 , 8.0 , and 4.7 are
connected in series across a 30- potential
difference.
Part A
What is the charge on the 4.7 capacitor?
ANSWER:
Part B
What is the total energy stored in all three capacitors?
ANSWER:
Part C
The capacitors are disconnected from the potential difference
without allowing them to discharge. They are then
reconnected in parallel with each other, with the positively
charged plates connected together. What is the voltage across
each capacitor in the parallel combination?
ANSWER:
Part D
What is the total energy now stored in the capacitors?

ANSWER:
Problem 24.59
In the figure , each capacitance is 7.2 , and each capacitance
is 4.8 .
μF μF μF V
μF
= Q3 C
= U J
= V V
= U J
C1 μF C2 μF
11/30/2018 HW3
Part A
Compute the equivalent capacitance of the network between
points a and b.

ANSWER:
Part B
Compute the charge on the capacitor nearest to a when = 420 .
ANSWER:
Part C
Compute the charge on the capacitor nearest to b when = 420 .
ANSWER:
Part D
Compute the charge on the capacitor nearest to a and b when =
420 .
ANSWER:
= Ceq F
C1 Vab V
= Qa1 C
C1 Vab V
= Qb1 C

C2 Vab V
11/30/2018 HW3
Part E
With 420 across a and b, compute .
ANSWER:
Problem 24.51
For the capacitor network shown in the Figure , the potential
difference
across is 12.0 .
Part A
Find the total energy stored in this network.
ANSWER:
Part B
Find the energy stored in the 4.80- capacitor.
ANSWER:
Problem 24.35

= Q2 C
V Vcd
= Vcd V
ab V
= U μJ
μF
= U4.80 μF μJ
11/30/2018 HW3
Part A
A parallel-plate capacitor consists of two parallel, square plates
that have dimensions 1.0 cm by 1.0 cm. If the plates are
separated by 5 mm, and the space between them is filled with
teflon, what is the capacitance of this capacitor? (The
dielectric constant for teflon is 2.1, and ε0 = 8.85 × 10-12 C2/N
· m2.)
ANSWER:
Problem 24.32
Part A

A parallel-plate capacitor has a capacitance of 10 mF and is
charged with a 20-V power supply. The power supply is then
removed and a dielectric material of dielectric constant 4.0 is
used to fill the space between the plates. What is the voltage
now across the capacitor?
ANSWER:
Problem 24.29
Part A
Each plate of an air-filled parallel-plate air capacitor has an
area of 0.0040 m2, and the separation of the plates is 0.080 mm.
An electric field of 5.3 × 106 V/m is present between the plates.
What is the energy density between the plates? ( = 8.85 ×
10-12 C2/N · m2)
ANSWER:
0.37 pF
0.42 pF
0.18 pF
8.9×10−2 pF
5.0 V
80 V
20 V
2.5 V

10 V
ε0
11/30/2018 HW3
Problem 24.24
Part A
A 8.00-μF parallel-plate capacitor has charges of 60.0 μC on its
plates. How much potential energy is stored in this
capacitor?
ANSWER:
Score Summary:
210 J/m3
170 J/m3
84 J/m3
250 J/m3
124 J/m3

205 μJ
225 μJ
215 μJ
195 μJ
235 μJ
11/30/2018 HW1
HW1
Due: 11:59pm on Friday, September 14, 2018
Exercise 21.4
You have a pure (24-karat) gold ring with mass 10.8 . Gold has
an atomic mass of 197 and an atomic number of 79.
Part A
How many protons are in the ring?
ANSWER:

Part B
What is their total positive charge?
ANSWER:
Part C
If the ring carries no net charge, how many electrons are in it?
ANSWER:
Exercise 21.6
Two small spheres spaced 20.0 apart have equal charge.
Part A
How many excess electrons must be present on each sphere if
the magnitude of the force of repulsion between them is
3.33 10 ?
ANSWER:
Exercise 21.12
g g/mol
= np
= Q
= ne

cm
× −21 N
= ne
11/30/2018 HW1
A negative charge of -0.510 exerts an upward 0.700- force on
an unknown charge that is located 0.500 directly below
the first charge.
Part A
What is the value of the unknown charge (magnitude and sign)?
ANSWER:
Part B
What is the magnitude of the force that the unknown charge
exerts on the -0.510 charge?
ANSWER:
Part C

What is the direction of this force?
ANSWER:
Electric Field Conceptual Question
Part A
For the charge distribution provided, indicate the region (A to
E) along the horizontal axis where a point exists at which the
net electric field is zero.
If no such region exists on the horizontal axis choose the last
option (nowhere).
μC N m
= q
μC
= F
upward
downward
11/30/2018 HW1

ANSWER:
Part B
If no such region exists on the horizontal axis choose the
last option (nowhere).
ANSWER:
A
B
C
D
E
nowhere
11/30/2018 HW1
Part C

If no such region exists on the horizontal axis choose the
last option (nowhere).
ANSWER:
Part D
A
B
C
D
E
nowhere
A
B
C
D

E
nowhere
11/30/2018 HW1
ANSWER:
Exercise 21.20
Two point charges are placed on the x-axis as follows: charge =
3.95 is located at 0.204 , and charge = 4.95
is at -0.295 .
Part A
What is the magnitude of the total force exerted by these two
charges on a negative point charge = -5.99 that is
placed at the origin?
ANSWER:
Part B
What is the direction of the total force exerted by these two
charges on a negative point charge = -5.99 that is placed
at the origin?

ANSWER:
A
B
C
D
E
Nowhere along the finite x axis
q1 nC x = m q2
nC x = m
q3 nC
= F N
q3 nC
11/30/2018 HW1
Exercise 21.24
A particle has a charge of -5.55 .
Part A

Find the magnitude of the electric field due to this particle at a
point 0.350 directly above it.
ANSWER:
Part B
Find the direction of this electric field.
ANSWER:
Part C
At what distance from this particle does its electric field have a
magnitude of 14.0 ?
ANSWER:
Part A
to the + directionx
to the - directionx
perpendicular to the -axisx
the force is zero
nC

m
= E
up, away from the particle
down, toward the particle
N/C
= L
11/30/2018 HW1
The strength of the electric field at a certain distance from a
point charge is represented by E. What is the strength of the
electric field at twice the distance from the point charge?
ANSWER:
Part A
When a point charge of +q is placed on one corner of a square,
an electric field strength of 2 N/C is observed at the center
of the square. Suppose three identical charges of +q are placed
on the remaining three corners of the square. What is the
magnitude of the net electric field at the center of the square?

ANSWER:
Part A
Two charged objects are separated by some distance. The charge
on the first object is greater than the charge on the
second object. How does the force between the two objects
compare?
ANSWER:
At twice the distance, the strength of the field is E/4.
At twice the distance, the strength of the field is E/2.
At twice the distance, the strength of the field is 4E.
At twice the distance, the strength of the field is 2E.
At twice the distance, the strength of the field remains equal to
E.
The magnitude of the net electric field at the center of the
square is 6 N/C.
square is 4 N/C.
square is 0 N/C.
square is 8 N/C.

square is 2 N/C.
11/30/2018 HW1
Part A
A positively charged rod is brought close to one end of an
uncharged metal rod but does not actually touch it. What type of
charge does the end of the metal rod closest to the positively
charged rod acquire?
ANSWER:
Problem 21.01
Part A
A piece of plastic has a net charge of +2.00 μC. How many
more protons than electrons does this piece of plastic have? (e
= 1.60 × 10-19 C)
ANSWER:
The charged objects exert electrostatic forces on each other that
are equal in magnitude and opposite in
direction.
The first object exerts a large electrostatic force on the second

object.
The charged objects exert electrostatic forces on each other that
are equal in magnitude and pointing in the
same direction.
The second object exerts a large electrostatic force on the first
object.
The end of the metal rod closest to the positively charged rod
remains neutral.
can acquire either a positive or negative charge,
depending on the composition of the metal.
acquires a positive charge.
acquires a negative charge.
1.25 × 1019
2.50 × 1019
2.50 × 1013
1.25 × 1013
11/30/2018 HW1

Problem 21.03
Part A
When two point charges are 2.0 cm apart, each one experiences
a 1.0-N electric force due to the other charge. If they are
moved to a new separation of 8.0 cm, the electric force on each
of them is closest to
ANSWER:
Problem 21.06
Part A
Charge nC is at ( m, ), charge nC is at ( , m), and charge nC
is at ( , ).
What is the magnitude of the net electrostatic force on the -nC
charge due to the other charges? (
N · m2/C2)
ANSWER:
Part B
What is the direction of the net electrostatic force on the -nC
charge due to the other charges?
ANSWER:
Score Summary:

1.0 N.
4.0 N.
16 N.
0.25 N.
0.063 N.
= 6.0Q1 0.30 0 = −1.0Q2 0 0.10 = 5.0Q3 0 0
5.0
k = 1/4 = 8.99 ×πϵ0 10
9
N
5.0
above -axis ∘ x
11/30/2018 HW6
HW6
Due: 11:59pm on Saturday, November 10, 2018

Exercise 27.12
A horizontal rectangular surface has dimensions 2.85 by 3.40
and is in a uniform magnetic field that is directed at an
angle of 26.0 above the horizontal.
Part A
What must the magnitude of the magnetic field be to produce a
flux of 3.20 10 through the surface?
ANSWER:
Exercise 27.22
In a cyclotron, the orbital radius of protons with energy 300 is
16.0 . You are redesigning the cyclotron to be used
instead for alpha particles with energy 300 . An alpha particle
has charge 2e and mass 6.64 10 .
Part A
If the magnetic field isn t changed, what will be the orbital
radius of the alpha particles?
appropriate units.
ANSWER:
Exercise 27.28
Part A

What is the speed of a beam of electrons when the simultaneous
influence of an electric field of and a
magnetic field of , with both fields normal to the beam and to
each other, produces no deflection of the
electrons?
ANSWER:
Part B
When the electric field is removed, what is the radius of the
electron orbit?
cm cm
∘
× −4 Wb
= B
keV cm
keV q = + m = × kg−27
= Rα
1.56 × V/m104
4.62 × T10−3
= v m/s
11/30/2018 HW6

ANSWER:
Part C
What is the period of the orbit?
ANSWER:
Exercise 27.36
An electromagnet produces a magnetic field of 0.590 in a
cylindrical region of radius 2.90 between its poles. A straight
wire carrying a current of 10.7 passes through the center of this
region and is perpendicular to both the axis of the cylindrical
region and the magnetic field.
Part A
What magnitude of force is exerted on the wire?
ANSWER:
Exercise 27.46
A coil with a magnetic moment of 1.50 is oriented initially
with its magnetic moment antiparallel to a uniform magnetic
field of magnitude 0.845 .
Part A
What is the change in potential energy of the coil when it is
rotated 180 so that its magnetic moment is parallel to the field?

ANSWER:
Part A
A charged particle enters into a uniform magnetic field such
that its velocity vector is perpendicular to the magnetic field
vector. Ignoring the particle's weight, what type of path will the
particle follow?
ANSWER:
= R m
= T s
T cm
A
= F N
A ⋅ m2
T
∘
= U J
11/30/2018 HW6

Part A
A vertical wire carries a current vertically upward in a region
where the magnetic field vector points toward the north. What is
the direction of the magnetic force on this current due to the
field?
ANSWER:
Part A
ANSWER:
The charged particle will follow a circular path.
The charged particle will follow a straight-line path.
The charged particle will follow a parabolic path.
The charged particle will follow a spiral path.
downward
toward the north
toward the south

toward the west
toward the east
Scientists have evidence that single isolated magnetic poles,
called magnetic monopoles, exist.
The north pole of a bar magnet will attract the south pole of
another bar magnet.
Earth's geographic south pole is also a magnetic south pole.
The south poles of two bar magnets will repel each other.
Earth's geographic north pole is actually a magnetic south pole.
The north poles of two bar magnets will attract each other.
11/30/2018 HW6
Part A
Consider a magnetic force acting on an electric charge in a
uniform magnetic field. Which of the following statements are
true?
ANSWER:

Part A
Ions having equal charges but masses of and 2 are accelerated
through the same potential difference and then enter
a uniform magnetic field perpendicular to their path. If the
heavier ions follow a circular arc of radius , what is the radius
of
the arc followed by the lighter?
ANSWER:
The direction of the magnetic force acting on a moving charge
in a magnetic field is perpendicular to the
direction of the magnetic field.
A magnetic force is exerted on a stationary electric charge in a
uniform magnetic field.
A magnetic force is exerted on an electric charge moving
through a uniform magnetic field.
An electric charge moving parallel to a magnetic field
experiences a magnetic force.
The direction of the magnetic force acting on a moving electric
charge in a magnetic field is perpendicular to the
direction of motion.
An electric charge moving perpendicular to a magnetic field
experiences a magnetic force.

M M
R
3R
/R 2√
4R
2√ R
/2R
11/30/2018 HW6
Part A
An electron moving in the direction of the + -axis enters a
magnetic field. If the electron experiences a magnetic deflection
in the - direction, the direction of the magnetic field in this
region points in the direction of the
ANSWER:
Problem 27.24
Part A
A straight 15.0-g wire that is 2.00 m long carries a current of
8.00 A. This wire is aligned horizontally along the west-east
direction with the current going from west to east. You want to

support the wire against gravity using the weakest possible
uniform external magnetic field.
(a) Which way should the magnetic field point?
ANSWER:
Part B
(b) What is the magnitude of the weakest possible magnetic
field you could use?
ANSWER:
Score Summary:
x
y
- -axis.x
+z-axis.
- -axis.z
+y-axis.
- -axis.y
from east to west
from west to east

from south to north
from north to south
none of the above
T
11/30/2018 HW4
HW4
Due: 11:59pm on Thursday, October 25, 2018
Exercise 25.16
Part A
A ductile metal wire has resistance . What will be the resistance
of this wire in terms of if it is stretched to three times its
original length, assuming that the density and resistivity of the
material do not change when the wire is stretched. (Hint: The
amount of metal does not change, so stretching out the wire will
affect its cross-sectional area.)
ANSWER:

Part A
The figure shows a steady electric current passing through a
wire with a narrow region. What happens to the drift velocity of
the moving charges as they go from region to region and then
to region ?
ANSWER:
Part A
R R
= R1 R
A B C
The drift velocity increases all the time.
The drift velocity decreases all the time.
The drift velocity remains constant.
The drift velocity increases from A to B and decreases from B
to C.
The drift velocity decreases from A to B and increases from B
to C.
11/30/2018 HW4

The figure shows two connected wires that are made of the same
material. The current entering the wire on the left is 2.0 A
and in that wire the electron drift speed is d. What is the
electron drift speed in the wire on the right side?
ANSWER:
Part A
Two cables of the same length are made of the same material,
except that one cable has twice the diameter of the other
cable. When the same potential difference is maintained across
both cables, which of the following statements are true?
(There may be more than one correct choice.)
Choose all that apply.
ANSWER:
Part A
v
dv
4 dv

d/2v
2 dv
d/4v
Both cables carry the same current density.
The electrons have the same drift velocity in both cables.
The current in the thin cable is four times as great as the current
in the thick cable.
The same current flows through both cables.
The current in the thin cable is twice as great as the current in
the thick cable.
11/30/2018 HW4
ANSWER:
Part A
Consider two copper wires with the same cross-sectional area.
Wire A is twice as long as wire B. How do the resistivities

and resistances of the two wires compare?
ANSWER:
Part A
A circuit maintains a constant resistance. If the current in the
circuit is doubled, what is the effect on the power dissipated by
the circuit?
ANSWER:
A battery does work on electric charges to bring them to a
position of higher electric potential energy so that they
can flow through a circuit to a lower potential energy.
The potential difference between the terminals of a battery,
when no current flows to an external circuit, is
referred to as the terminal voltage.
The internal resistance of a battery decreases with decreasing
temperature.
A battery is a device that produces electricity by transforming
chemical energy into electrical energy.
Wire A has twice the resistance of wire B.
Wire B has twice the resistance of wire A.
Wire A and wire B have the same resistance.

Wire A and wire B have the same resistivity.
Wire B has twice the resistivity of wire A.
Wire A has twice the resistivity of wire B.
11/30/2018 HW4
Problem 25.16
Part A
The resistivity of gold is 2.44×10-8 Ω•m at room temperature. A
gold wire that is 1.4 mm in diameter and 39 cm long carries
a current of 950 mA. What is the electric field in the wire?
ANSWER:
Problem 25.24
Part A
A Nichrome wire is used as a heating element in a toaster. From
the moment the toaster is first turned on to the moment the
wire reaches it maximum temperature, the current in the wire
drops by 20.0% from its initial value. What is the temperature
change in the wire? The temperature coefficient of resistivity
for Nichrome is 0.000400 (°C)-1.
ANSWER:

The power dissipated is reduced by a factor of 2.
The power dissipated remains constant.
The power dissipated is doubled.
The power dissipated is reduced by a factor of 4.
The power dissipated is quadrupled.
3.8×10−3 V/m
1.2×10−2 V/m
1.5×10−2 V/m
1.9×10−2 V/m
3.8×10−2 V/m
11/30/2018 HW4
Problem 25.26
Part A
A piece of wire 41.5 cm long carries a current I when a voltage
V is applied across its ends at a temperature of 0°C. If the
resistivity of the material of which the wire is made varies with
temperature as shown in the graph in the figure, what length
of the same diameter wire is needed so that the same current

flows when the same voltage is applied at temperature
400°C?
ANSWER:
Problem 25.29
Part A
When a voltage difference is applied to a piece of metal wire, a
4-mA current flows through it. If this metal wire is now
replaced with a silver wire having twice the diameter of the
original wire, how much current will flow through the silver
wire?
The lengths of both wires are the same, and the voltage
difference remains unchanged. (The resistivity of the original
metal
is 1.68 × 10-8 Ω · m, and the resistivity of silver is 1.59 × 10-8
Ω · m.)
ANSWER:
625°C
200°C
300°C
400°C
500°C
cm

11/30/2018 HW4
Problem 25.38
Part A
The voltage and power ratings of a particular light bulb, which
are its normal operating values, are 110 V and 60 W. Assume
the resistance of the filament of the bulb is constant and is
independent of operating conditions. If the light bulb is
operated
with a current that is 50% of the current rating of the bulb, what
is the actual power drawn by the bulb?
ANSWER:
Problem 25.44
Part A
In the figure a current of 6.0 A is drawn from the battery. What
is the terminal voltage Vab of the battery?
ANSWER:
17 mA
8.5 mA
15 mA
4.2 mA

30 W
20 W
10 W
25 W
15 W
11/30/2018 HW4
Problem 25.56
A heating element made of tungsten wire is connected to a large
battery that has negligible internal resistance. When the
heating element reaches 80.0 , it consumes electrical energy at a
rate of 420 . Assume that the temperature coefficient of
resistivity has the value given in Table 25.2 in the textbook and
that it is constant over the temperature range in this problem. In
the equation
take to be 20.0 .
Part A
What is its power consumption when the temperature of the
heating element is 110.0 ?

Express your answer to two significant figures and include the
appropriate units.
ANSWER:
Problem 25.58
A resistor with resistance is connected to a battery that has emf
16.0 and internal resistance = 0.350 .
Part A
For what two values of will the power dissipated in the resistor
be 78.0 ?
Enter your answers separated by a comma.
ANSWER:
Problem 25.70
Compact fluorescent bulbs are much more efficient at producing
light than are ordinary incandescent bulbs. They initially cost
much more, but last far longer and use much less electricity.
According to one study of these bulbs, a compact bulb that
produces as much light as a 100 incandescent bulb uses only
23.0 of power. The compact bulb lasts 1.00×104 hours, on
0.00 V
-24 V
+24 V
+12 V

-12 V
C∘ W
R(T ) = [1 + α(T − )]R0 T0
T0 C
∘
C∘
= P
R V r Ω
R W
, = R1 R2 Ω
W W
11/30/2018 HW4
the average, and costs 12.0 , whereas the incandescent bulb
costs only 74.0 ¢, but lasts just 750 hours. The study assumed
that electricity cost 7.00 ¢ per and that the bulbs were on for
4.0 per day.
Part A
What is the total cost (including the price of the bulbs) to run

incandescent bulbs for 3.0 years?
ANSWER:
Part B
What is the total cost (including the price of the bulbs) to run
compact fluorescent bulbs for 3.0 years?
ANSWER:
Part C
How much do you save over 3.0 years if you use a compact
fluorescent bulb instead of an incandescent bulb?
ANSWER:
Part D
What is the resistance of a "100 " fluorescent bulb? (Remember,
it actually uses only 23 of power and operates across
120 .)
ANSWER:
Score Summary:
$
kWh h
dollar(s)

dollar(s)
dollar(s)
W W
V
= R Ω
11/30/2018 HW5
HW5
Due: 11:59pm on Friday, November 2, 2018
Exercise 26.2
A machine part has a resistor protruding from an opening in the
side. This resistor is connected to three other resistors, as
shown in the figure . An ohmmeter connected across and reads
2.00 .
Part A
What is the resistance of ?
Express your answer in ohms to two significant figures.

ANSWER:
Exercise 26.12
In the battery has emf 43.0 and negligible internal resistance.
= 6.00 . The current through is 2.50 and the current
through = 5.10 .
X
a b
Ω
X
= X Ω
V
R1 Ω R1 A
R3 A
11/30/2018 HW5
Part A
What is the resistance ?

ANSWER:
Part B
What is the resistance ?
ANSWER:
Exercise 26.24
The batteries shown in the circuit in the figure have negligibly
small
internal resistances.
Part A
Find the current through the 30.0 resistor.
ANSWER:
Part B
Find the current through the 20.0 resistor.
ANSWER:
R2
= R2
R3
= R3

Ω
= I A
Ω
11/30/2018 HW5
Part C
Find the current through the 10.0 battery.
ANSWER:
Exercise 26.30
The 5.00- battery in is removed from the circuit and replaced
by a
15.00- battery, with its negative terminal next to point . The
rest of
the circuit is as shown in the figure.
Part A
Find the current in the upper branch.
value if the current is to the left and negative value
if the the current is to the right.
ANSWER:

Part B
Find the current in the middle branch.
ANSWER:
= I A
V
= I A
V
V b
= I
= I
11/30/2018 HW5
Part C
Find the current in the lower branch.

ANSWER:
Part D
Find the potential difference of point relative to point .
ANSWER:
Exercise 26.32
In the circuit shown in the figure both batteries have
insignificant
internal resistance and the idealized ammeter reads 2.00 in the
direction shown.
Part A
Find the emf of the battery.
ANSWER:
Part B
= I
Vab a b
= Vab
A

E
= E V
11/30/2018 HW5
Is the polarity shown correct?
ANSWER:
RC Circuit and Current Conceptual Question
In the diagram below,the two resistors, and , are identical and
the capacitor is initially uncharged with the switch open.
Part A
How does the current through compare with the current through
immediately after the switch is first closed?
ANSWER:
Part B
a very long time after the switch has been closed?

ANSWER:
yes
no
R1 R2
R1 R2
The current through the current through .R1
is greater than
is less than
is equal to
R2
R1 R2
11/30/2018 HW5
Part C
immediately after the switch is opened (after being
closed a very long time)?

ANSWER:
Exercise 26.50
A 16.0- capacitor is charged to a potential of 50.0 and then
discharged through a 265- resistor.
Part A
How long does it take the capacitor to lose half of its charge?
ANSWER:
Part B
How long does it take the capacitor to lose half of its stored
energy?
ANSWER:
Exercise 26.48
is greater than
is less than
is equal to

R2
R1 R2
is greater than
is less than
is equal to
R2
μF V Ω
= t
= t
11/30/2018 HW5
A 1.70- capacitor is charging through a 14.0- resistor using a
12.0- battery.
Part A
What will be the current when the capacitor has acquired 1/4 of
its maximum charge?
ANSWER:

Part B
Will it be 1/4 of the maximum current?
ANSWER:
Exercise 26.46
A resistor and capacitor are connected in series to an emf
source. The time constant for the circuit is 0.780 .
Part A
A second capacitor, identical to the first, is added in series.
What is the time constant for this new circuit?
ANSWER:
Part B
In the original circuit a second capacitor, identical to the first,
is connected in parallel with the first capacitor. What is the time
constant for this new circuit?
ANSWER:
Problem 26.38
μF Ω V
= I A

yes
no
s
= τ
= τ
11/30/2018 HW5
Part A
A 4.0-μF capacitor that is initially uncharged is connected in
series with a 4.0-k resistor and an ideal 17.0-V battery. How
much energy is stored in the capacitor 17 ms after the battery
has been connected?
ANSWER:
Problem 26.57
Part A
Find the potential of point with respect to point in the figure .
ANSWER:

Part B
If points and are connected by a wire with negligible
resistance, find the magnitude of the current in the 10.0
battery.
ANSWER:
Ω
890 nJ
15,000 kJ
25 µJ
250,000 nJ
a b
= Vab V
a b V
= I A
11/30/2018 HW5

Problem 26.69
A resistor consumes electrical power when connected to an
emf . When resistor is connected to the same emf, it
consumes electrical power .
Part A
In terms of and , what is the total electrical power consumed
when they are both connected to this emf source in
parallel?
ANSWER:
Part B
In terms of and , what is the total electrical power consumed
when they are both connected to this emf source in
series?
ANSWER:
Score Summary:
R1 P1 E R2
P2
P1 P2
= Ptot
P1 P2

= Ptot
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Sheet2
Sheet3

Avery Fitness CodeBook
Variable
Name
Description Response Options
ID Questionnaire identification number
WEIGHT Utilized weight training in previous 30 days? 0 = no 1
= yes
CLASSES Utilized classes in previous 30 days? 0 = no 1 = yes
CIRCUIT Utilized exercise circuit in previous 30 days? 0 = no 1
= yes
STATION Utilized circulation station in previous 30 days? 0 =
no 1 = yes
POOL Utilized therapy pool in previous 30 days? 0 = no 1 = yes
VISITS Number of visits to AFC in previous 30 days? (record
number)
DAYPART Normal time to visit AFC? 1 = morning
2 = afternoon
3 = evening
DOCTOR How learned about AFC? Doctor Rec. 0 = no 1 = yes
WOM How learned about AFC? Friend Rec. 0 = no ! = yes
ADVERT How learned about AFC? Advertising 0 = no 1 = yes

SPEAKER How learned about AFC? Heard director speak 0 =
no 1 = yes
LOCATION How learned about AFC? Drove by location 0 = no
1 = yes
ARTICLE How learned about AFC? Article in newspaper 0 = no
1 = yes
OTHER How learned about AFC? Other 0 = no 1 = yes
FITNESS Importance for participation: General Health
and Fitness
(1–5,“not at all important-very
importan”)
SOCIAL Social Aspects SAME
ENJOY Physical Enjoyment SAME
MEDICAL Specific Medical Concerns SAME
RECOM How likely to recommend? (0–10,“not at all likely-
extremely
likely”)
EVENT What original event caused you to begin AFC?
(open ended)
1 = general health/exercise
2 = pool / facilities
3 = rehab / specific medical
needs
4 = social considerations

5 = transfer from another center
6 = other
AGE Current Age (record number)
GENDER Gender 1 = male
2 = female
EDUCAT Highest level of education achieved? 1 = less than
high school
2 = high school degree
3 = some college
4 = associates degree
5 = four-year college degree
6 = advanced degree
INCOME Annual household income before taxes 1 = $0 –
15,000
2 = $ 15,001 – 30,000
3 = $30,001 – 45,000
4 = $45,001 – 60,000
5 = $60,001 – 75,000
6 = $75,001 – 90,000
7 = $90,001 – 105,000
Avery Fitness CodeBook
Variable
Name
Description Response Options
ID Questionnaire identification number
8 = $105,001 – 120,000

9 = more than $120,000
STATUS Work Status 1 = employed 2 = retired
REVENUE One-year Revenue from Respondent
MISSING = BLANK
($$$ from secondary records)

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