Rapport 7
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Apr 3, 2024
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Experiment 7: Induced emf: magnet passes through a solenoid and Transformer
Student name: Graham Herkenrath Pre-lab section: 1)
Introduction: Explain the theory behind experiment 7.1 in a paragraph between 150 and 250 words. (2 Point) In this experiment we will be using a magnet to measure electromotive force or emf by passing the magnet through a solenoid. This works because magnetic flux changes throughout a coil as a magnet is passed through it which creates an electromotive force. We will be using Faraday’s law of induction: e= -N(delta(sigma)/delta(t)). In this equation e represents the induced electromotive force, N represents the number of turns of wire in the coil and the change in sigma divided by the change in time is the rate of change of the magnetic flux through each turn of the coil. When the magnetic flux is increasing it is called incoming flux and the incoming peak occurs when the electromotive force induced by the incoming flux versus time is displayed as a peak. When the magnetic flux decreases through each turn of the coil it is called outgoing flux and the outgoing peak occurs when the electromotive force induced by the outgoing flux versus time is displayed as a peak.
2)
Hypothesis: In an If /Then statement, highlight the purpose of experiment 7.1. (0.5 points) If the incoming flux versus outgoing flux is a large difference than the area under incoming and outgoing peaks will be greater.
3)
Introduction
: In a paragraph between 75 and 100 words, explain the theory behind the experiment 7.2. (2 point) In this experiment we will be focusing on a transformer which is an electrical device that moves energy in two circuits using electromagnetic induction. Electromagnetic induction occurs when an electromotive force is produced across an electrical conductor in a charging magnetic field. In this experiment the transformer will serve as the electrical conductor. An important aspect of the transformer is the two coils which are electrically insulated from each other but are wound upon the same core.
4)
Hypothesis: In an If /Then statement, highlight the purpose of experiment 7.2. (0.5 points) If the primary coil turns rapidly allowing power to transfer to the core and into the secondary coil then the induced electromotive force will be greater.
Post-lab section: 5)
Attach a picture of your signed data sheet for experiment 7.1 here. (1 point)
6)
Attach the pictures of any table, chart, and plot here for experiment 7.1. (2 points)
7)
In a paragraph between 100 and 150 words, explain in context of experiment 7.1: What did you Learn? What conclusion can you draw from the results of this lab assignment? (1 point) I learned that Lenz
’
s law impacts the direction in which the incoming and outgoing peaks go and also that the greater the current the greater the flux will be. I also learned that the configuration of the magnet and orientation of the north and south poles of the magnet impacts the turn of the coil. A conclusion I can draw from the results of this lab assignment is that the induced current in a resistor is affected by Lenz
’
s law to determine the orientation in terms of B to A or A to B. I also learned that Lenz
’
s law can be used effectively with magnets to determine flux and analyze peaks. 8)
Attach your response to the questions in the lab manual here for experiment 7.1
. (1.7 points)
9)
Attach a picture of your signed data sheet for experiment 7.2 here. (1 point)
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Related Questions
The loop in the figure is being pushed into the 0.60 T
magnetic field at 25 m/s. The resistance of the loop is
0.50 2.
(Figure 1)
You may want to review (Pages 849 - 851).
Part A
What is the magnitude of the current in the loop?
Express your answer with the appropriate units.
Value
Submit
Part B
Request Answer
Units
clockwise
What is the direction of the current in the loop?
O counterclockwise
?
Submit Request Answer
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In the figure below, a sliding conducting rod in contact with the wires of a circuit is
sliding at a speed v. The circuit is in a uniform magnetic field directed out of the page.
R
sliding bar
a) Sketch the direction of the induced magnetic field from the circuit.
b) Sketch the direction of the induced current in the circuit.
c) Indicate the direction of the force on the sliding bar from the external magnetic
field.
d) Will the speed of the sliding bar increase, decrease, or stay the same?
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When a car drives through the Earth's magnetic field, an
emf is induced in its vertical 50-cm-long radio antenna.
Submit
Previous Answers
Completed
Part B
What is the maximum emf induced in the antenna? The car's speed is 25.0 m/s on a horizontal road.
Express your answer to two significant figures and include the appropriate units.
?
E =
Value
Units
Submit
Request Answer
< Return to Assignment
Provide Feedback
P Type here to search
48%
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Esc
F1
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II. Based from your simulated experiment, answer the questions below (True or False). Remember, emf is another name for voltage.1. The magnitude of the induced emf (electromotive force) depends on the speed of the bar magnet.2. The mere presence of the bar magnets field induces an emf in the coil.3. The direction of the induced emf depends on the speed of the magnet.4. The direction of the induced depends on which pole (N/S) moves toward the coil.
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1. What is Lenz's Law? To which basic principle of physics it is most closely related and why?
2. Explain how Lenz's Law allows one to determine the direction of an induced current.
3. A straight conducting wire is dropped horizontally from a certain height with its length along east-west direction. Will an emf be induced in it? Justify the answer.
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1. Figure 1 below shows an electron moving in +x direction enter uniform magnetic field
directed into the plane. Draw the path taken by the electron as they pass through the
magnetic field region and leave from side QR. If another electron enters the same region
with higher velocity, what happen to the path travel by the electron? Sketch the electron
motion on the same diagram and explain your answer.
electron
Figure 1
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A 500-turns square wire coil rotates about a vertical axis at 2690 rev per min as in FIGURE 5. The side of the square wire is 3.3 m each. The horizontal component of the Earth's magnetic field at the location of the loop is 37 µT.
i) Calculate the maximum emf induced in the coil by the Earth's magnetic field
ii) Find the time for the coil to make 3 complete rotations
iii)Sketch a graph of emf against time.
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Q1) An infinite long wire carries current I
= 4 A upward is placed parallel to
the longest sides of a rectangular loop that carries I2
= 12.5 A moving
clockwise. If the distance between the infinite wire and the nearest side is 0.2
m and the rectangular loop has dimensions of 0.1 mX 0.3 m. Perform the
following task.
1.1.
Draw a model that illustrate the set up of the question and show all the
forces that is associated to the two wires.
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Direction of Rotation (Torque)
A large part of motors (converting electrical and chemical energy into kinetic energy)
is linked to the idea of have something with a current in a magnetic field. For
complete wire loops, this creates a torque and causes rotation. Below is an image of
this case - a wire loop (with the direction of current in purple) in a magnetic field.
The axis of rotation is shown. This means the loop can only rotate about that axis.
Axis of rotation
B (Magnetic Field)
What is the direction of the rotation of the bottom of the loop? Make sure to
consider the direction of the current when finding this direction.
No Force
+ y (upward)
+ x (to the right)
+ z (out of the screen towards you)
- y (downward)
- x (to the left)
- z (into the screen away from you)
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Faraday S
4. What are the methods to change the magnetic field in Faraday's first law?
According to Faraday's first law, any minute change in the magnetic field of the coil results in emf which,
is induced in the coil. Following are the ways in which the magnetic field can be changed:
●
The movement of the bar magnet towards or away from the coil.
●
The movement of the coil into or out of the magnetic field.
.
Changing the area where the coil is placed results in a change in the magnetic field.
The rotation of the coil relative to the magnet brings the change in the magnetic field.
.
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A 500-turn coil of area 0.00200 m^2 is rotated in a 2.00 T magnetic field. At what frequency, f, must the coil be rotated so that the generator produces a voltage amplitude of 250.0 V?
Please also explain and show the steps you used to get there/the physics behind why/how you got to the answer to help me better understand. Thank you soo much. Also, the work and the explanation or most important because I already have the correct answer - I'm just unsure of how to get there.
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Figure 3 shows a straight wire carrying a current in upwarddirection. The wire is placed near a wire loop.
For each case described below, answer the following questions:a. What is the direction of the magnetic flux through theloop?b. Is the magnitude of the flux through the loop increasing ordecreasing with time?c. What is the direction of the magnetic field produced by theinduced current in the loop?d. What is the direction of the current induced in the loop?1. Case 1: The current is increasing.2. Case 2: The current is decreasing.3. Case 3: The current is constant but the loop is being pulledaway from the straight wire.
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Constants
A 17-cm-diameter circular loop of wire is placed in a
0.58-T magnetic field.
Part A
When the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop?
Express your answer to two significant figures and include the appropriate units.
HÀ
?
Value
Units
Submit
Request Answer
Part B
The plane of the loop is rotated until it makes a 45 ° angle with the field lines. What is the angle in the equation PB
BA cos 0 for this
situation?
Express your answer using two significant figures.
Πν ΑΣφ
?
=
Submit
Request Answer
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TRUE OR FALSE (Explain answers in detail)
1. In Ampere’s law the displacement currents and conduction currents have the same unit.
2. If the electric field (in Ampere’s law) changes with time then there is a displacement current.
3. Electromagnetic waves are transverse waves.
4. (Ampere's law) In an oscillating LC circuit, no displacement current exists between the capacitors plates when the capacitor is momentarily unchanged.
5. Electric and magnetic fields of an electromagnetic wave in free space are in phase.
6.Infrared waves has higher frequency than red waves.
7.
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L = length of the solenoid, meter(m)
%3D
SOLVE: PROBLEM 2
A solenoid consists of 200 turns of wire and has
FIGURE 12.7 A) a closely wound solenoid and B) the magnetic field lines
for a tightly wound current-carrying solenoid
a length of 0.15m. What is the magnetic field inside the
solenoid if the current through it is a.) 0.24A, b.) 0.50A and
c.) 1.2A
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5.
In the picture shown a diagram labeled ORIGINAL shows a metal loop of wire in a constant magnetic field B that is parallel to the axis of the loop labeled A. Four diagrams are shown labeled #1, #2, #3 and #4. In each diagram a change has been made to the ORIGINAL diagram. For which diagram(s) would an emf be induced in the ring while the change is being made?
a.
#1 and #2 only
b.
#3 only
c.
#1, #3 and #4
d.
#1, #2 and #3
e.
All of these
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1. The force between two long parallel conductors is 15 kg/meter. The conductor spacing is 10 cm. If one conductor carries twice the current of the other, calculate the current in each conductor.?
2.A solenoid 0.2m long has 1000 turns of wire and is oriented with its axis parallel to the
earth's magnetic field at a place where the latter is 25micro tesla. What should be the current in the solenoid in order that the field exactly cancels the earth's field inside the solenoid.?
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6. A square loop of wire connects the ends of a 10-ohm resistor, as shown. The loop sits
perpendicular to a magnetic field of strength 0.6 T that is directed into the page in the picture
at right. The field then drops to zero over a time of 3 seconds. If the loop is 10 cm high and
15 cm wide, what is the current induced in the loop?
**
10 Ω
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The conducting loop shown is moving into the region between the magnetic poles shown.a. Is the induced current (viewed from above) clockwise or counterclockwise?b. Is there an attractive magnetic force that tends to pull the loop in, like a magnet pulls on a paper clip? Or do you need to push the loop in against a repulsive force?
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Pivot
Circular loop
1. The above figure shows an edge-on view of a 10-cm-diameter circular loop rotating in a
uniform 0.050 T magnetic field. What is the magnetic flux through the loop when Ois 0°,
30°, 60°, and 90°?
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1. There are three parallel wires Ꚛ Ꚛ ʘ. In the left and the center wires current directed to the page, and in the right - out the page. If the left and the right wires are fixed, what is the direction of the force on the middle wire?
2. What conclusion can be drawn about the relation between magnetic force and currents?
3. What is the theoretical slope of the graph F vs. IA*IB and does it agree with the simulation?
4. What conclusion can you draw about the relation between magnetic force and distance?
5. What is the theoretical slope of the graph F vs 1/R and does it agree with the simulation one?
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the induced voltage is the rate of change in the magnetic
field with respect to time. A rapid change in the flux induces a high voltage. Similarly, a slow
change in the flux produces a low induced voltage.
What HaveI Learned So Far?
1. What is the effect of increasing the number of loops to the magnitude of the induced
EMF?
2. What will happen to the magnitude of the induced EMF if the number of loops will be
decreased?
3. How does making the magnetic flux faster affect the magnitude of the induced EMF?
How about when make the magnetic flux slower?
you
Mathematically, Faraday's law is stated as follows:
ДФ
EMF = NA
At
f loons of the
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E2
The two plates in figure 6 are infinite both in the directionof ?̂ as in ?̂. Determine the magnetic induction producedfor current distribution.
?⃗ =?0?̂ for− ? < ? < 0?⃗ = −?0?̂ for 0 < ? < a
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2. A hypothetical charge q with a mass m moves in a circular path perpendicular to a uniform magnetic field with a magnitude of B and is direct into the page. If the speed of the hypothetical charge is v:
A. Determine the radius of the circular path.
B. Determine the time interval required to complete one revolution.
Pointing System for Number 2:
• What are the given in the problem?
• What are the unknown variables?
• What are the equations that you are going to use?
• Solution and answer for Part A.
• Solution and answer for Part B.
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symmetries.
1. Solenoid: The magnetic field inside a very long solenoid must be along the axis
of the solenoid. The magnetic field outside the solenoid is approximately zero.
A very long solenoid of radius b carries a current I with turns per length. We
want to use Ampere's law to find the magnetic field at a point P a distance ?
from the central axis. Assume r
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