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PHYS 260, section All, Spring 2020
INSTRUCTOR
Emilie Hein
HW 12 - PHYS 260 - (Homework)
Skyline College, CA
Current Score
QUESTION
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
POINTS
0/1
–/1
1/2
2/2
2/2
2/2
–/4
4/4
–/4
2/4
–/1
1/2
4/4
–/4
–/4
–/1
2/3
1/2
1/2
TOTAL SCORE
22/49
44.9%
Due Date
SUN, MAY 17, 2020
11:00 PM PDT
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part
only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
1.
[0/1 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.1.WA.001.
MY NOTES
A wire carrying a current of 2.60 A has a straight segment of 2.45 m. Determine the magnitude of the magnetic field due to this
segment of wire at a point P which is at the midpoint of the straight segment of wire and a distance of 0.270 m perpendicular to
the wire.
1.93e-6
Can you find an expression for the result of applying the Biot-Savart law to a finite length of a straight segment of a current
carrying wire? T
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2.
[–/1 Points]
DETAILS
OSUNIPHYS1 29.1.WA.002.
MY NOTES
A wire carrying a current of 3.00 A has a straight segment of 2.15 m. Determine the magnitude of the magnetic field due to this
segment of wire at a point P which is at the end of the straight segment of wire and a distance of 2.52 m perpendicular to the
wire.
T
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3.
[1/2 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.1.WA.003.
MY NOTES
An infinitely long wire carrying a current of 2.65 A is bent at a right angle as shown in the figure. Determine the magnitude and
direction of the magnetic field at the point P a distance a = 21.3 cm from each leg of the right angle bend.
magnitude
direction
−k
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T
4.
[2/2 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.1.P.019.
MY NOTES
The accompanying figure shows a current loop consisting of two concentric circular arcs and two perpendicular radial lines.
Determine the magnetic field at point P. (Use the following as necessary: a, b, I and μ0.)
magnitude
B =
direction
†
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μ0I(b−a)8ab
out of the page
5.
[2/2 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.1.P.021.
MY NOTES
Two long wires, one of which has a semicircular bend of radius R, are positioned as shown in the accompanying figure. If both wires
carry a current I, how far apart must their parallel sections be so that the net magnetic field at P is zero? (Use the following as
necessary: R.)
a=
2Rπ
Does the current in the straight wire flow up or down?
The current in the wire to the right must flow up the page.
The current in the wire to the right must flow down the page.
†
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6.
[2/2 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.1.WA.005.
MY NOTES
An infinitely long wire carrying a current of 4.40 A is bent at a right angle in such a manner that the bend is the arc of a circle
with a radius of r = 12.5 cm as shown in the figure.
Determine the magnitude of the magnetic field at the point P which is at the center of the arc.
1.25e-5
T
Determine the direction of the magnetic field at the point P which is at the center of the arc.
î
−î
ĵ
−ĵ
−
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7.
[–/4 Points]
DETAILS
OSUNIPHYS1 29.1.WA.007.
MY NOTES
A conducting loop resting in the xy plane is in the shape of a rectangle with a short side of length L and a long side of length 2L,
where L = 21.9 cm. The current in the loop is 2.67 A and travels in the counter-clockwise direction when viewed from the +z
axis.
(a) Determine the magnitude and direction of the magnetic field at the center of the loop.
magnitude
direction
T
---Select---
(b) If the conductor is now reshaped to form a circle (also in the xy plane) in which the current travels in the counterclockwise direction, when viewed from the +z axis, determine the magnitude and direction of the magnetic field at the
center of the loop.
magnitude
direction
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T
---Select---
8.
[4/4 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.2.P.027.
MY NOTES
The accompanying figure shows two long, straight, horizontal wires that are parallel and a distance 2a apart. If both wires carry
current I in the same direction, what is the magnetic field at the following locations? (Use the following as necessary: a, I and μ0.)
(a) P1
magnitude
B =
0
The magnitude is zero.
direction
(b) P2
magnitude
direction
†
Additional Materials
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B =
3μ0I8πa
into the page
9.
[–/4 Points]
DETAILS
OSUNIPHYS1 29.2.WA.010.
MY NOTES
As shown in the figure below, two long parallel wires (1 and 2) carry currents of I1 = 3.30 A and I2 = 4.50 A in the direction
indicated.
(a) Determine the magnitude and direction of the magnetic field at a point midway between the wires (d = 10.0 cm).
magnitude
µT
direction
° counterclockwise from the +x axis
(b) Determine the magnitude and direction of the magnetic field at point P, located d = 10.0 cm above wire 1.
magnitude
µT
direction
° counterclockwise from the +x axis
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10.
[2/4 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.2.WA.013.TUTORIAL.
MY NOTES
As shown in the figure, two long, straight current-carrying wires (1 and 2) are attached at right angles to a board by wire
brackets. The current in wire 1 is 19.1 A in the negative y direction and the current in wire 2 is 5.00 A in the positive x direction.
The points A and B are a distance r = 0.200 m from both wires.
(a) How does the magnitude of the net magnetic field at point A compare to the magnitude of the net magnetic field at
point B?
BA > BB
BA = BB
BA < BB
(b) Determine the magnitude of the net magnetic field at points A and B.
point A
T
point B
T
(c) If the brackets holding wire 2 are removed, what will happen to wire 2?
It will rotate clockwise.
It will rotate counterclockwise.
Nothing will happen.
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Tutorial
11.
[–/1 Points]
DETAILS
OSUNIPHYS1 29.4.P.035.
MY NOTES
When the current through a circular loop is 7.5 A, the magnetic field at its center is 3.1 ✕ 10−4 T. What is the radius (in m) of the
loop?
m
†
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12.
[1/2 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.4.WA.027.TUTORIAL.
MY NOTES
The figure below shows a long straight wire just touching a circular loop carrying a current I1 = 2.58 A in the counterclockwise
direction. Both lie in the same plane.
(a) What direction must the current I2 in the straight wire have in order to create a magnetic field at the center of the
loop in the direction opposite to that created by the loop?
from right to left
from left to right
(b) What current must the long straight wire carry in order to have zero net magnetic field strength at the center of the
loop?
A
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Tutorial
13.
[4/4 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.5.P.041.
A current I flows around the rectangular loop shown in the accompanying figure. Evaluate
any variable or symbol stated above along with the following as necessary: μ0.)
path A
B · dl =
μ0·I
path B
B · dl =
0
path C
B · dl =
μ0·I
path D
B · dl =
0
†
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MY NOTES
B · d l for the following paths. (Use
14.
[–/4 Points]
DETAILS
OSUNIPHYS1 29.5.WA.031.
MY NOTES
Consider the seven current-carrying wires and the four closed paths shown in the figure. For each of these paths (C1, C2, C3,
and C4) determine the following in terms of μ0. Use standard sign convention for the currents; minus is down into the page and
positive is up out of the page. (Assume I1 = 3.00 A, I2 = 6.00 A, I3 = 4.00 A, I4 = 6.00 A, I5 = 5.00 A, I6 = 6.00 A,
and I7 = 7.00 A.)
B · ds =
A μ0
B · ds =
A μ0
B · ds =
A μ0
B · ds =
A μ0
(a)
C1
(b)
C2
(c)
C3
(d)
C4
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15.
[–/4 Points]
DETAILS
OSUNIPHYS1 29.5.P.043.
MY NOTES
The coil whose lengthwise cross section is shown in the accompanying figure carries a current I and has N evenly spaced turns
distributed along the length l. Evaluate
B · d l for the paths indicated. (Use any variable or symbol stated above along with the
following as necessary: μ0.)
path A
B · dl =
path B
B · dl =
path C
B · dl =
path D
B · dl =
†
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16.
[–/1 Points]
DETAILS
OSUNIPHYS1 29.6.P.055.
MY NOTES
A solenoid with 33 turns per centimeter carries a current I. An electron moves within the solenoid in a circle that has a radius of
3.0 cm and is perpendicular to the axis of the solenoid. If the speed of the electron is 3.6 ✕ 105 m/s, what is I (in A)?
A
†
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[2/3 Points]
17.
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.3.P.030.
MY NOTES
Two long, straight wires are parallel and 21 cm apart.
(a) If each wire carries a current of 63 A in the same direction, what is the magnitude of the magnetic force per meter (in N/m)
exerted on each wire?
N/m
(b) Does the force pull the wires together or push them apart?
The wires are pulled together.
The wires are pushed apart.
The magnetic force per meter is zero.
(c)
What happens if the currents flow in opposite directions?
The wires are pulled together.
The wires are pushed apart.
The magnetic force per meter is zero.
†
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18.
[1/2 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.3.WA.019.
MY NOTES
Two power lines run parallel for a distance of 291 m and are separated by a distance of 40.0 cm. If the current in each of the
two lines is 100 A and if they run in opposite directions, determine the magnitude and direction of the force each wire exerts on
the other.
magnitude
direction
away from each other
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N
19.
[1/2 Points]
DETAILS
PREVIOUS ANSWERS
OSUNIPHYS1 29.3.WA.021.
MY NOTES
The figure below shows a long straight wire near a rectangular current loop. The current in the wire is I1 = 18.0 A and the
current in the loop is I2 = 30.0 A. The dimensions of the loop are L = 36.0 cm,w = 12.0 cm, and the distance from the loop to
the wire is r = 9.00 cm. Determine the magnitude and direction of the total force on the loop.
magnitude
direction
N
away from the wire
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2020 Cengage Learning, Inc. All Rights Reserved
ruoyijin@my.smccd.edu
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Communication
Calendar
My eBooks
PHYS 260, section All, Spring 2020
INSTRUCTOR
Emilie Hein
HW 13 - PHYS 260 - (Homework)
Skyline College, CA
Current Score
QUESTION
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
POINTS
–/1
–/3
–/2
–/2
–/1
–/3
–/1
–/1
–/1
–/2
–/1
–/2
–/4
–/6
–/4
TOTAL SCORE
–/34
0.0%
Due Date
SUN, MAY 17, 2020
11:00 PM PDT
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for
each question part only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
1.
[–/1 Points]
DETAILS
OSUNIPHYS1 29.6.P.055.
MY NOTES
A solenoid with 32 turns per centimeter carries a current I. An electron moves within the solenoid in a circle
that has a radius of 2.7 cm and is perpendicular to the axis of the solenoid. If the speed of the electron is
4.4 ✕ 105 m/s, what is I (in A)?
A
†
Additional Materials
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2.
[–/3 Points]
DETAILS
OSUNIPHYS1 29.3.P.030.
MY NOTES
Two long, straight wires are parallel and 49 cm apart.
(a) If each wire carries a current of 53 A in the same direction, what is the magnitude of the magnetic force
per meter (in N/m) exerted on each wire?
N/m
(b) Does the force pull the wires together or push them apart?
The wires are pulled together.
The wires are pushed apart.
The magnetic force per meter is zero.
(c)
What happens if the currents flow in opposite directions?
The wires are pulled together.
The wires are pushed apart.
The magnetic force per meter is zero.
†
Additional Materials
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3.
[–/2 Points]
DETAILS
OSUNIPHYS1 29.3.WA.019.
MY NOTES
Two power lines run parallel for a distance of 283 m and are separated by a distance of 40.0 cm. If the
current in each of the two lines is 130 A and if they run in opposite directions, determine the magnitude and
direction of the force each wire exerts on the other.
magnitude
direction
---Select---
Additional Materials
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N
4.
[–/2 Points]
DETAILS
OSUNIPHYS1 29.3.WA.021.
MY NOTES
The figure below shows a long straight wire near a rectangular current loop. The current in the wire is
I1 = 17.0 A and the current in the loop is I2 = 30.0 A. The dimensions of the loop are L = 30.0 cm,
w = 10.0 cm, and the distance from the loop to the wire is r = 6.00 cm. Determine the magnitude and
direction of the total force on the loop.
magnitude
direction
N
---Select---
Additional Materials
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5.
[–/1 Points]
DETAILS
OSUNIPHYS1 29.3.WA.024.
MY NOTES
Two long parallel wires in the xy plane repel each other with a force per unit length of 290 µN/m. One wire
runs along the x axis and carries a current of 15.0 A in the positive x direction. The other wire runs along
the line y = d, where d = 0.540 m. Determine the y value for the location of a line in the xy plane along
which the total magnetic field is zero. (Include the sign of the value in your answer.)
m
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6.
[–/3 Points]
DETAILS
OSUNIPHYS1 29.3.WA.025.
MY NOTES
Three long wires are all parallel to each other and are all in the xy plane. Wire 1 runs along the y axis and
carries a current of 1.88 A in the +y direction. Wire 2 runs along the x = 25.0 cm line and carries a current
of 4.02 A in the −y direction.
(a) Determine the location of wire 3 on the x axis so that when it carries a certain current (to be
determined later) each wire experiences no net force.
m
(b) Determine the magnitude and direction of the current in wire 3.
magnitude
direction
Additional Materials
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A
---Select---
7.
[–/1 Points]
DETAILS
OSUNIPHYS1 30.1.P.027.
MY NOTES
The magnetic field through a circular loop of radius 17.1 cm varies with time as shown below. The field is
perpendicular to the loop. Plot the magnitude of the induced emf in the loop as a function of time.
†
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8.
[–/1 Points]
DETAILS
OSUNIPHYS1 30.1.P.031.
MY NOTES
A rectangular wire loop with length a and width b lies in the xy-plane, as shown below. Within the loop there is
a time-dependent magnetic field given by B(t) = C (x cos(ωt))î + (y sin(ωt))
, with B(t) in teslas. Determine
the emf induced in the loop as a function of time. (Enter the magnitude. Use the following as necessary: a, b,
ω, t and C.)
(t) =
†
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9.
[–/1 Points]
DETAILS
OSUNIPHYS1 30.1.WA.001.
MY NOTES
A long straight wire carries a current of 2.50 A as shown in the figure. The distance r1 = 10.0 cm,
r2 = 20.0 cm, and ℓ = 11.0 cm. Determine the magnitude of the magnetic flux through the area shown.
Wb
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10.
[–/2 Points]
DETAILS
OSUNIPHYS1 30.2.WA.020.TUTORIAL.
MY NOTES
A single turn coil of radius 4.50 cm is held in a vertical plane and a magnet is rapidly moved relative to the
coil as shown in the diagram below.
The field inside the coil changes from 0.550 T to 0.235 T in 0.120 s. If the resistance of the coil is 3.90 Ω,
what are the magnitude and direction of the induced current in the coil as viewed from the side of the
magnet?
magnitude
direction
---Select---
Additional Materials
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Tutorial
mA
11.
[–/1 Points]
DETAILS
OSUNIPHYS1 30.2.WA.021.TUTORIAL.
MY NOTES
A wire of length L is wound around an iron cylinder mounted on a base. The two ends of the wire are
connected to a battery via a switch that is initially open. A metal ring with a diameter larger than that of the
cylinder sits on top of the coil. What happens to the metal ring when the switch is closed?
The ring will move away from the coil and fly upward.
The ring will move toward the coil.
The ring will remain stationary.
Additional Materials
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Tutorial
12.
[–/2 Points]
DETAILS
OSUNIPHYS1 30.2.WA.014.
MY NOTES
A long, straight wire carrying a current of 3.30 A moves with a constant speed v to the right. A 5-turn
circular coil of diameter 1.25 cm, and resistance of 3.25 µΩ, lies stationary in the same plane as the straight
wire. At some initial time, the wire is at a distance d = 13.0 cm from the center of the coil. 5.10 s later, the
wire is at a distance 2d from the center of the coil. What is the magnitude and direction of the average
induced current in the coil? Note that while the magnetic field varies over the diameter of the coil, it is very
small and we will disregard this variation.
magnitude
direction
---Select---
Additional Materials
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mA
13.
[–/4 Points]
DETAILS
OSUNIPHYS1 30.2.WA.017.
MY NOTES
A coil lies on a horizontal plane and the south pole of the magnet is thrust into the coil with a quick
movement in the direction shown in the diagram below.
Find the direction of the induced current in the coil, when looking down on the coil from above, by
answering the following questions.
(a) What is the direction of the magnetic field due to the magnet in the center of the coil?
+x
−x
+y
−y
+z
−z
(b) As the magnet is moved in the direction indicated, how will the magnetic flux in the coil change?
increase
decrease
remain the same
(c) What is the direction of the induced magnetic flux in the coil?
+x
−x
+y
−y
+z
−z
(d) What is the direction of the induced current in the coil when viewed from above the coil?
clockwise
counterclockwise
no current
Additional Materials
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14.
[–/6 Points]
DETAILS
OSUNIPHYS1 30.2.WA.016.
MY NOTES
A coil is placed next to a straight wire. The current in the wire is as shown in the diagram below. The coil
and wire lie in the same plane with the +z axis perpendicular to the plane of the coil.
(a) As the current in the wire increases, find the direction of the induced current in the coil by
answering the following questions.
(i) What is the direction of the magnetic field due to the current-carrying wire in the coil?
+x
−x
+y
−y
+z
−z
(ii) As the current in the wire increases, how will the magnetic flux in the coil change?
increase
remain the same
decrease
(iii) What is the direction of the induced magnetic flux in the coil?
+x
−x
+y
−y
+z
−z
(iv) What is the direction of the induced current in the coil?
clockwise
counterclockwise
no current
(b) Now suppose the current in the wire decreases. What is the direction of the induced current in
the coil?
clockwise
counterclockwise
no current
(c) Now suppose the current in the wire suddenly changes direction. What is the direction of the
induced current in the coil?
clockwise
counterclockwise
no current
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15.
[–/4 Points]
DETAILS
OSUNIPHYS1 30.2.WA.018.
MY NOTES
Two concentric coils of wire lie on a horizontal flat surface. The smaller coil is connected to a battery and a
switch. The diagram shows the top view of the set up.
(a) Initially the switch is open. What is the direction of the induced current in Coil 2?
clockwise
counterclockwise
no current
(b) Now the switch is closed. Immediately after the switch is closed, what is the direction of the
induced current in Coil 2?
clockwise
counterclockwise
no current
(c) A long time after the switch is closed, what is the direction of the induced current in Coil 2?
clockwise
counterclockwise
no current
(d) Now the switch is opened once again. Immediately after the switch is open what is the direction
of the induced current in Coil 2?
clockwise
counterclockwise
no current
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2020 Cengage Learning, Inc. All Rights Reserved
ruoyijin@my.smccd.edu
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Communication
Grades
Calendar
My eBooks
PHYS 260, section All, Spring 2020
INSTRUCTOR
Emilie Hein
HW 14 - PHYS 260 - (Homework)
Skyline College, CA
Current Score
QUESTION
1
2
3
4
5
6
7
8
9
10
POINTS
–/2
–/3
–/3
–/1
–/2
–/1
–/1
–/8
–/1
–/3
TOTAL SCORE
–/25
0.0%
Due Date
SUN, MAY 17, 2020
11:00 PM PDT
Assignment Submission & Scoring
Assignment Submission
For this assignment, you submit answers by question parts. The number of submissions remaining for each question part
only changes if you submit or change the answer.
Assignment Scoring
Your last submission is used for your score.
1.
[–/2 Points]
DETAILS
OSUNIPHYS1 32.6.P.044.
MY NOTES
A step-up transformer is designed so that the output of its secondary winding is 2,200 V (rms) when the primary winding is
connected to a 190 V (rms) line voltage.
(a) If there are 200 turns in the primary winding, how many turns are there in the secondary winding?
turns
(b) If a resistor connected across the secondary winding draws an rms current of 0.55 A, what is the current (in A) in the
primary winding?
A
†
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2.
[–/3 Points]
DETAILS
OSUNIPHYS1 32.6.WA.041.TUTORIAL.
MY NOTES
(a) What is the voltage output of a transformer used for rechargeable flashlight batteries if its primary has 483 turns, its
secondary has 8 turns, and the input voltage is 110 V?
V
(b) What input current is required to produce a 4.00 A output?
mA
(c) What is the power input?
W
Additional Materials
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Tutorial
3.
[–/3 Points]
DETAILS
OSUNIPHYS1 32.6.WA.042.
MY NOTES
A large power plant generates electricity at 12.0 kV. Its old transformer once converted the voltage to 403 kV. The secondary
of this transformer is being replaced so that its output can be 510 kV for more efficient cross-country transmission on upgraded
transmission lines.
(a) What is the ratio of turns in the new secondary to turns in the old secondary?
Ns, new
=
Ns, old
(b) What is the ratio of new current output to old output (at 403 kV) for the same power?
Is, new
=
Is, old
(c) If the upgraded transmission lines have the same resistance, what is the ratio of new line power loss to old?
Pnew
=
Pold
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4.
[–/1 Points]
DETAILS
OSUNIPHYS1 31.4.P.055.
MY NOTES
How long after switch S1 is thrown does it take the current in the circuit shown to reach three-fourths its maximum value? Express
your answer in terms of the time constant τ of the circuit.
t=
†
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5.
[–/2 Points]
DETAILS
OSUNIPHYS1 31.4.P.057.
MY NOTES
The current in the RL circuit shown below reaches two-thirds its maximum value in 1.25 ms after the switch S1 is thrown.
(a) Determine the time constant of the circuit (in ms).
ms
(b) Determine the resistance of the circuit (in Ω) if L = 200 mH.
Ω
†
Additional Materials
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6.
[–/1 Points]
DETAILS
OSUNIPHYS1 31.4.WA.016.
MY NOTES
The circuit below shows a simple RL circuit.
Which of the graphs below correctly shows the current versus time soon after the switch is moved to position 1 as shown in the
figure above?
Additional Materials
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7.
[–/1 Points]
DETAILS
OSUNIPHYS1 31.4.WA.017.
MY NOTES
The circuit below shows a simple RL circuit. Initially, the switch is in position 1.
Which of the graphs below correctly shows the current versus time soon after the switch is moved to position 2 as shown in the
figure above?
Additional Materials
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8.
[–/8 Points]
DETAILS
OSUNIPHYS1 31.4.P.059.
MY NOTES
= 60 V, R1 = 21 Ω, R2 = 42 Ω, R3 = 63 Ω, and L = 4.0 mH. Find the values of I1 and I2 (in A) at
the following times. (Indicate the direction with the signs of your answers.)
For the circuit shown below,
(a) immediately after switch S is closed
I1 =
A
I2 =
A
(b) a long time after S is closed
(c)
I1 =
A
I2 =
A
immediately after S is reopened (Assume the circuit has reached a steady state before S is reopened.)
I1 =
A
I2 =
A
(d) a long time after S is reopened
I1 =
A
I2 =
A
†
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[–/1 Points]
9.
DETAILS
OSUNIPHYS1 31.4.WA.027.
MY NOTES
A 40.0 cm long solenoid has a diameter of 10.0 cm and 1000 loops. How much energy is stored in this inductor when 18.8 A of
current flows through it?
J
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10.
[–/3 Points]
DETAILS
OSUNIPHYS1 31.4.WA.028.TUTORIAL.
MY NOTES
A 1.80-H inductance coil and a 11.2 Ω resistor are connected in series with a battery whose emf is 115 V and a switch. Initially,
the switch is open. At t = 0, the switch is closed.
(a) Determine the rate at which energy is stored in the magnetic field at t = 0.150 s.
W
(b) Determine the rate at which thermal energy is dissipated through the resistance at t = 0.150 s.
W
(c) Determine the rate at which the battery delivers energy at t = 0.150 s.
W
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