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ECSE 251: Electric and Magnetic Fields
HW5
Mohammad Fazel Vafadar
Fall 2022
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 1
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 1
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ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 2
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 2
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 3
Solution:
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ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 4
Solution:
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 4
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 5
Solution:
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ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 5
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 5
ECSE 251 Electric and Magnetic Fields; M. F. Vafadar
Exercise 5
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Please see the attached image.
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. What is the purpose of a discharge device used in conjunction with opening a highly inductive circuit?a) to minimize the possibility of damage to the circuits insulation as a result of a high induced voltage
b) to minimize the possibility of endangering the life of the person opening the controlling switch
c) to allow the magnetic field to gradually collapse, thus limiting the value of the self-induced ernf
d) all of the above
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Question 1
A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions
are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and
right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the
effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns
in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what
is
a) the flux in each of the left, center, and right legs of the core?
b) the flux density in each air gap?
7 cm
ст
ст
30 cm
30 cm
7 cm
400 turns
0.05 cm
30 cm
0.07 cm
7 cm
Core depth = 7 cm
Figure 2
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A)The left hand rule for a coil is such that if you were to hold a coil in your left hand with your fingers pointing in the direction of the electron flow, your thumb would point in the direction of thea) electron flow b) flow lines c) face of the north pole d) none of the above.
B) What is a magnetic flux line?a) It is the space around a magnet or the space in which the magnetic forces act.b) It is the magnetic force that has a definite direction at all points along a curved line from the north to south pole.c) It is the ability of a magnetic material to be easily magnetized.d) none of the above
C)It is believed that a magnetic material is .........a) consists of a single large magnetic molecule b) is composed of many tiny magnetic molecules c) consists of a single non-magnetic molecule d) none of the above
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a.
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b.
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c.
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d.
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g.
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h.
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Answer the following Questions
Question-1
A coil of 1000 turns is wound on a laminated core of steel having a cross-section of 5 cm². The
core has an air gap of 2 mm cut at right angle.
a. What value of current is required to have an air gap flux density of 0.5 T? Permeability
of steel may be taken as infinity.
b. Determine the coil inductance.
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g
مالی
A ferromagnetic core is shown in Figure 1. The depth of the core is 5 cm. The
other dimensions of the core are as shown in the figure. Find the value of the current
that will produce a flux of 0.005 Wb. With this current, what is the flux density at
the top of the core? What is the flux density at the right side of the core? Assume
that the relative permeability of the core is 800.
-10 cm
-20 cm -
15cm
15 cm
500 turns
15 cm
=
Care depth 5 cm
15 cm
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In this Exercise 6 we will explore laws critical to the study of electromagnetism. We will be using Simulation 3 (below) to explore how a moving magnet produces current in a nearby coil of wire.
a. Magnetic field strength decreases as you get farther from the poles of the magnet. Does the flux through the face of the coil change as you move the magnet? Explain your answer.
b. Why does the meter needle deflect? Is the deflection in accordance with Lenz’s Law? Justify your answer in terms of Lenz’s law and your above answers.
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Multiple choice
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A
P KN
Refer to the figure.
d₁
0.9 m
Force P is 60 kN and each force Q is 125 kN.
Q KN B
Add your answer
Integer, decimal, or E notation allowed
Q KN
The diameter d₁ = 30 mm and diameter d₂ = 50 mm.
d₂
1.2 m
What is the normal stress in rod BC in MPa? Round to the nearest integer and enter the magnitude only.
C
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A flux of 0.0016 Wb flows in a silicon sheet steel coil/core. The arrangement appears as shown below
with the following dimensions:
Ac = 0.0025 m?
Core/gap area:
Flux path length:
le = 0.350 m
lg = 0.0015 m
N = 500
Air gap length:
Number of turns:
%3D
A. What is the current, I, through the winding?
B. What is the energy stored in the inductance?
C. Assume that the current is given by i =9.75 sin (3147) A. What is the RMS voltage that would
appear across the winding?
D. Assume that the gap is removed from the arrangement with the flux path remaining at 0.350 m. For a
flux of 0.0016 Wb, what is the inductance of the arrangement?
E. What is the energy stored in the inductance with the gap removed?
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Related Questions
- Please see the attached image.arrow_forward. What is the purpose of a discharge device used in conjunction with opening a highly inductive circuit?a) to minimize the possibility of damage to the circuits insulation as a result of a high induced voltage b) to minimize the possibility of endangering the life of the person opening the controlling switch c) to allow the magnetic field to gradually collapse, thus limiting the value of the self-induced ernf d) all of the abovearrow_forwardQuestion 1 A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is a) the flux in each of the left, center, and right legs of the core? b) the flux density in each air gap? 7 cm ст ст 30 cm 30 cm 7 cm 400 turns 0.05 cm 30 cm 0.07 cm 7 cm Core depth = 7 cm Figure 2arrow_forward
- A)The left hand rule for a coil is such that if you were to hold a coil in your left hand with your fingers pointing in the direction of the electron flow, your thumb would point in the direction of thea) electron flow b) flow lines c) face of the north pole d) none of the above. B) What is a magnetic flux line?a) It is the space around a magnet or the space in which the magnetic forces act.b) It is the magnetic force that has a definite direction at all points along a curved line from the north to south pole.c) It is the ability of a magnetic material to be easily magnetized.d) none of the above C)It is believed that a magnetic material is .........a) consists of a single large magnetic molecule b) is composed of many tiny magnetic molecules c) consists of a single non-magnetic molecule d) none of the abovearrow_forwardWhat is a typical voltage used for capillary zone electrophoresis? a. 2.5 MV b. 250 kV c. 250 MV d. 25 V e. 2.5 kV f. 25 MV g. 250 V h. 25 kVarrow_forwardAnswer the following Questions Question-1 A coil of 1000 turns is wound on a laminated core of steel having a cross-section of 5 cm². The core has an air gap of 2 mm cut at right angle. a. What value of current is required to have an air gap flux density of 0.5 T? Permeability of steel may be taken as infinity. b. Determine the coil inductance.arrow_forward
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Recommended textbooks for you
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning

Delmar's Standard Textbook Of Electricity
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ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning